octave-iso2mesh-1.9.6+ds/0000755001356000007640000000000013730477711014127 5ustar fangqadminoctave-iso2mesh-1.9.6+ds/iso2meshver.m0000644001356000007640000000215413724766530016560 0ustar fangqadminfunction [major,minor,patchnum,extra]=iso2meshver % % [major,minor,patchnum,extra]=iso2meshver % or % v=iso2meshver % % get the version number of iso2mesh toolbox % % author: Qianqian Fang, % % output: % if you ask for a single output: % v: a string denotes the current version number; the string is % typically in the following format: "major.minor.patch-extra" % where major/minor/patch are typically integers, and extra can % be an arbitrary string and is optional % if you ask for 4 outputs: % [major,minor,patchnum,extra] are each field of the version string % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % major=1; minor=9; patchnum=5; extra='$Rev:: $'; extra=regexprep(extra,'[\s$:]', ''); iso2meshvstr=sprintf('%d.%d.%d',major,minor,patchnum); if(~isempty(extra)) iso2meshvstr=[iso2meshvstr '-' extra]; end if(nargout==0) fprintf(1,'iso2mesh toolbox version: %s\n',iso2meshvstr); clear major; elseif(nargout==1) major=iso2meshvstr; elseif(nargout~=4) error('you need to return either 1 or 4 output variables'); end octave-iso2mesh-1.9.6+ds/TODO.txt0000644001356000007640000000214413724766530015441 0ustar fangqadmin==================================================================== iso2mesh TODO list ==================================================================== == high priority == * detect multi-value interfaces (i.e. voxels where more than 2 values meet) \ and perturb the levelset surface mesh to avoid intersection [proposed on 2009/02/11] == low priority == * 2D image-based mesh generation support ? [proposed on 2009/02/11] * adaptive refining [proposed on 2009/02/11] * moving mesh * edge sharpening == completed == * on Windows, the deletemeshfile will gave warning message, seemed the \ files were opened but not closed and can not be deleted \ - done, by FangQ 2009/05/04 * processing gray-scale images directly [proposed on 2009/02/11] \ - done, by FangQ 2009/05/04 * setting RNG seeds when calling CGAL tools to ensure repeatibility \ of the meshing [proposed 2010/07/17] \ - done, by FangQ 2010/11/08 * if one levelset contains multiple disjointed surfaces, separate them, \ and do sub-region labeling for each component [proposed on 2009/02/11] - done, by FangQ 2011/02/26 octave-iso2mesh-1.9.6+ds/loadjson.m0000644001356000007640000005214413724766530016127 0ustar fangqadminfunction data = loadjson(fname,varargin) % % data=loadjson(fname,opt) % or % data=loadjson(fname,'param1',value1,'param2',value2,...) % % parse a JSON (JavaScript Object Notation) file or string % % authors:Qianqian Fang (q.fang neu.edu) % created on 2011/09/09, including previous works from % % Nedialko Krouchev: http://www.mathworks.com/matlabcentral/fileexchange/25713 % created on 2009/11/02 % François Glineur: http://www.mathworks.com/matlabcentral/fileexchange/23393 % created on 2009/03/22 % Joel Feenstra: % http://www.mathworks.com/matlabcentral/fileexchange/20565 % created on 2008/07/03 % % input: % fname: input file name; if fname contains "{}" or "[]", fname % will be interpreted as a JSON string % opt: (optional) a struct to store parsing options, opt can be replaced by % a list of ('param',value) pairs - the param string is equivallent % to a field in opt. opt can have the following % fields (first in [.|.] is the default) % % SimplifyCell [1|0]: if set to 1, loadjson will call cell2mat % for each element of the JSON data, and group % arrays based on the cell2mat rules. % FastArrayParser [1|0 or integer]: if set to 1, use a % speed-optimized array parser when loading an % array object. The fast array parser may % collapse block arrays into a single large % array similar to rules defined in cell2mat; 0 to % use a legacy parser; if set to a larger-than-1 % value, this option will specify the minimum % dimension to enable the fast array parser. For % example, if the input is a 3D array, setting % FastArrayParser to 1 will return a 3D array; % setting to 2 will return a cell array of 2D % arrays; setting to 3 will return to a 2D cell % array of 1D vectors; setting to 4 will return a % 3D cell array. % UseMap [0|1]: if set to 1, loadjson uses a containers.Map to % store map objects; otherwise use a struct object % ShowProgress [0|1]: if set to 1, loadjson displays a progress bar. % ParseStringArray [0|1]: if set to 0, loadjson converts "string arrays" % (introduced in MATLAB R2016b) to char arrays; if set to 1, % loadjson skips this conversion. % FormatVersion [2|float]: set the JSONLab format version; since % v2.0, JSONLab uses JData specification Draft 1 % for output format, it is incompatible with all % previous releases; if old output is desired, % please set FormatVersion to 1.9 or earlier. % Encoding ['']: json file encoding. Support all encodings of % fopen() function % ObjectID [0|interger or list]: if set to a positive number, % it returns the specified JSON object by index % in a multi-JSON document; if set to a vector, % it returns a list of specified objects. % JDataDecode [1|0]: if set to 1, call jdatadecode to decode % JData structures defined in the JData % Specification. % % output: % dat: a cell array, where {...} blocks are converted into cell arrays, % and [...] are converted to arrays % % examples: % dat=loadjson('{"obj":{"string":"value","array":[1,2,3]}}') % dat=loadjson(['examples' filesep 'example1.json']) % dat=loadjson(['examples' filesep 'example1.json'],'SimplifyCell',0) % % license: % BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details % % -- this function is part of JSONLab toolbox (http://iso2mesh.sf.net/cgi-bin/index.cgi?jsonlab) % opt=varargin2struct(varargin{:}); if(regexp(fname,'^\s*(?:\[.*\])|(?:\{.*\})\s*$','once')) string=fname; elseif(exist(fname,'file')) try encoding = jsonopt('Encoding','',opt); if(isempty(encoding)) string = fileread(fname); else fid = fopen(fname,'r','n',encoding); string = fread(fid,'*char')'; fclose(fid); end catch try string = urlread(['file://',fname]); catch string = urlread(['file://',fullfile(pwd,fname)]); end end else error_pos('input file does not exist'); end pos = 1; inputlen = length(string); inputstr = string; arraytokenidx=find(inputstr=='[' | inputstr==']'); arraytoken=inputstr(arraytokenidx); % String delimiters and escape chars identified to improve speed: esc = find(inputstr=='"' | inputstr=='\' ); % comparable to: regexp(inputstr, '["\\]'); index_esc = 1; opt.arraytoken_=arraytoken; opt.arraytokenidx_=arraytokenidx; opt.simplifycell=jsonopt('SimplifyCell',1,opt); opt.simplifycellarray=jsonopt('SimplifyCellArray',0,opt); opt.formatversion=jsonopt('FormatVersion',2,opt); opt.fastarrayparser=jsonopt('FastArrayParser',1,opt); opt.parsestringarray=jsonopt('ParseStringArray',0,opt); opt.usemap=jsonopt('UseMap',0,opt); opt.arraydepth_=1; if(jsonopt('ShowProgress',0,opt)==1) opt.progressbar_=waitbar(0,'loading ...'); end objid=jsonopt('ObjectID',0,opt); maxobjid=max(objid); if(maxobjid==0) maxobjid=inf; end jsoncount=1; while pos <= inputlen [cc,pos]=next_char(inputstr, pos); switch(cc) case '{' [data{jsoncount},pos,index_esc] = parse_object(inputstr, pos, esc, index_esc,opt); case '[' [data{jsoncount},pos,index_esc] = parse_array(inputstr, pos, esc, index_esc,opt); otherwise pos=error_pos('Outer level structure must be an object or an array',inputstr,pos); end if(jsoncount>=maxobjid) break; end jsoncount=jsoncount+1; end % while if(length(objid)>1 || min(objid)>1) data=data(objid(objid<=length(data))); end jsoncount=length(data); if(jsoncount==1 && iscell(data)) data=data{1}; end if(jsonopt('JDataDecode',1,varargin{:})==1) data=jdatadecode(data,'Base64',1,'Recursive',1,varargin{:}); end if(isfield(opt,'progressbar_')) close(opt.progressbar_); end end %%------------------------------------------------------------------------- %% helper functions %%------------------------------------------------------------------------- function [object, pos,index_esc] = parse_array(inputstr, pos, esc, index_esc, varargin) % JSON array is written in row-major order pos=parse_char(inputstr, pos, '['); object = cell(0, 1); arraydepth=varargin{1}.arraydepth_; pbar=-1; if(isfield(varargin{1},'progressbar_')) pbar=varargin{1}.progressbar_; end format=varargin{1}.formatversion; [cc,pos]=next_char(inputstr,pos); endpos=[]; if cc ~= ']' try if((varargin{1}.fastarrayparser)>=1 && arraydepth>=varargin{1}.fastarrayparser) [endpos, maxlevel]=fast_match_bracket(varargin{1}.arraytoken_,varargin{1}.arraytokenidx_,pos); if(~isempty(endpos)) arraystr=['[' inputstr(pos:endpos)]; arraystr=sscanf_prep(arraystr); if(isempty(find(arraystr=='"', 1))) % handle 1D array first if(maxlevel==1) astr=arraystr(2:end-1); astr(astr==' ')=''; [obj, count, errmsg, nextidx]=sscanf(astr,'%f,',[1,inf]); if(nextidx>=length(astr)-1) object=obj; pos=endpos; pos=parse_char(inputstr, pos, ']'); return; end end % next handle 2D array, these are most common ones if(maxlevel==2 && ~isempty(regexp(arraystr(2:end),'^\s*\[','once'))) rowstart=find(arraystr(2:end)=='[',1)+1; if(rowstart) [obj, nextidx]=parse2darray(inputstr,pos+rowstart,arraystr); if(nextidx>=length(arraystr)-1) object=obj; if(format>1.9) object=object.'; end pos=endpos; pos=parse_char(inputstr, pos, ']'); if(pbar>0) waitbar(pos/length(inStr),pbar,'loading ...'); end return; end end end % for N-D packed array in a nested array construct, % in the future can replace 1d and 2d cases if(maxlevel>2 && ~isempty(regexp(arraystr(2:end),'^\s*\[\s*\[','once'))) astr=arraystr; dims=nestbracket2dim(astr); if(any(dims==0) || all(mod(dims(:),1) == 0)) % all dimensions are integers - this can be problematic astr=arraystr; astr(astr=='[')=''; astr(astr==']')=''; astr=regexprep(astr,'\s*,',','); astr=regexprep(astr,'\s*$',''); [obj, count, errmsg, nextidx]=sscanf(astr,'%f,',inf); if(nextidx>=length(astr)-1) object=reshape(obj,dims); if(format>1.9) object=permute(object,ndims(object):-1:1); end pos=endpos; pos=parse_char(inputstr, pos, ']'); if(pbar>0) waitbar(pos/length(inStr),pbar,'loading ...'); end return; end end end end end end if(isempty(regexp(arraystr,':','once'))) arraystr=regexprep(arraystr,'\[','{'); arraystr=regexprep(arraystr,'\]','}'); if(varargin{1}.parsestringarray==0) arraystr=regexprep(arraystr,'\"',''''); end object=eval(arraystr); if(iscell(object)) object=cellfun(@unescapejsonstring,object,'UniformOutput',false); end pos=endpos; end catch end if(isempty(endpos) || pos~=endpos) while 1 varargin{1}.arraydepth_=arraydepth+1; [val, pos,index_esc] = parse_value(inputstr, pos, esc, index_esc,varargin{:}); object{end+1} = val; [cc,pos]=next_char(inputstr,pos); if cc == ']' break; end pos=parse_char(inputstr, pos, ','); end end end if(varargin{1}.simplifycell) if(iscell(object) && ~isempty(object) && isnumeric(object{1})) if(all(cellfun(@(e) isequal(size(object{1}), size(e)) , object(2:end)))) try oldobj=object; if(iscell(object) && length(object)>1 && ndims(object{1})>=2) catdim=size(object{1}); catdim=ndims(object{1})-(catdim(end)==1)+1; object=cat(catdim,object{:}); object=permute(object,ndims(object):-1:1); else object=cell2mat(object')'; end if(iscell(oldobj) && isstruct(object) && numel(object)>1 && varargin{1}.simplifycellarray==0) object=oldobj; end catch end end end if(~iscell(object) && size(object,1)>1 && ndims(object)==2) object=object'; end end pos=parse_char(inputstr, pos, ']'); if(pbar>0) waitbar(pos/length(inputstr),pbar,'loading ...'); end end %%------------------------------------------------------------------------- function pos=parse_char(inputstr, pos, c) pos=skip_whitespace(pos, inputstr); if pos > length(inputstr) || inputstr(pos) ~= c pos=error_pos(sprintf('Expected %c at position %%d', c),inputstr,pos); else pos = pos + 1; pos=skip_whitespace(pos, inputstr); end end %%------------------------------------------------------------------------- function [c, pos] = next_char(inputstr, pos) pos=skip_whitespace(pos, inputstr); if pos > length(inputstr) c = []; else c = inputstr(pos); end end %%------------------------------------------------------------------------- function [str, pos,index_esc] = parseStr(inputstr, pos, esc, index_esc, varargin) if inputstr(pos) ~= '"' pos=error_pos('String starting with " expected at position %d',inputstr,pos); else pos = pos + 1; end str = ''; while pos <= length(inputstr) while index_esc <= length(esc) && esc(index_esc) < pos index_esc = index_esc + 1; end if index_esc > length(esc) str = [str inputstr(pos:end)]; pos = length(inputstr) + 1; break; else str = [str inputstr(pos:esc(index_esc)-1)]; pos = esc(index_esc); end nstr = length(str); switch inputstr(pos) case '"' pos = pos + 1; if(~isempty(str)) if(strcmp(str,'_Inf_')) str=Inf; elseif(strcmp(str,'-_Inf_')) str=-Inf; elseif(strcmp(str,'_NaN_')) str=NaN; end end return; case '\' if pos+1 > length(inputstr) pos=error_pos('End of file reached right after escape character',inputstr,pos); end pos = pos + 1; switch inputstr(pos) case {'"' '\' '/'} str(nstr+1) = inputstr(pos); pos = pos + 1; case {'b' 'f' 'n' 'r' 't'} str(nstr+1) = sprintf(['\' inputstr(pos)]); pos = pos + 1; case 'u' if pos+4 > length(inputstr) pos=error_pos('End of file reached in escaped unicode character',inputstr,pos); end str(nstr+(1:6)) = inputstr(pos-1:pos+4); pos = pos + 5; end otherwise % should never happen str(nstr+1) = inputstr(pos); keyboard; pos = pos + 1; end end str=unescapejsonstring(str); pos=error_pos('End of file while expecting end of inputstr',inputstr,pos); end %%------------------------------------------------------------------------- function [num, pos] = parse_number(inputstr, pos, varargin) currstr=inputstr(pos:min(pos+30,end)); [num, one, err, delta] = sscanf(currstr, '%f', 1); if ~isempty(err) pos=error_pos('Error reading number at position %d',inputstr,pos); end pos = pos + delta-1; end %%------------------------------------------------------------------------- function [val, pos,index_esc] = parse_value(inputstr, pos, esc, index_esc, varargin) len=length(inputstr); if(isfield(varargin{1},'progressbar_')) waitbar(pos/len,varargin{1}.progressbar_,'loading ...'); end switch(inputstr(pos)) case '"' [val, pos,index_esc] = parseStr(inputstr, pos, esc, index_esc,varargin{:}); return; case '[' [val, pos,index_esc] = parse_array(inputstr, pos, esc, index_esc, varargin{:}); return; case '{' [val, pos,index_esc] = parse_object(inputstr, pos, esc, index_esc, varargin{:}); return; case {'-','0','1','2','3','4','5','6','7','8','9'} [val, pos] = parse_number(inputstr, pos, varargin{:}); return; case 't' if pos+3 <= len && strcmpi(inputstr(pos:pos+3), 'true') val = true; pos = pos + 4; return; end case 'f' if pos+4 <= len && strcmpi(inputstr(pos:pos+4), 'false') val = false; pos = pos + 5; return; end case 'n' if pos+3 <= len && strcmpi(inputstr(pos:pos+3), 'null') val = []; pos = pos + 4; return; end end pos=error_pos('Value expected at position %d',inputstr,pos); end %%------------------------------------------------------------------------- function [object, pos, index_esc] = parse_object(inputstr, pos, esc, index_esc, varargin) pos=parse_char(inputstr, pos, '{'); usemap=varargin{1}.usemap; if(usemap) object = containers.Map(); else object = []; end [cc,pos]=next_char(inputstr,pos); if cc ~= '}' while 1 [str, pos, index_esc] = parseStr(inputstr, pos, esc, index_esc, varargin{:}); if isempty(str) pos=error_pos('Name of value at position %d cannot be empty',inputstr,pos); end pos=parse_char(inputstr, pos, ':'); [val, pos,index_esc] = parse_value(inputstr, pos, esc, index_esc, varargin{:}); if(usemap) object(str)=val; else object.(encodevarname(str,varargin{:}))=val; end [cc,pos]=next_char(inputstr,pos); if cc == '}' break; end pos=parse_char(inputstr, pos, ','); end end pos=parse_char(inputstr, pos, '}'); end %%------------------------------------------------------------------------- function pos=error_pos(msg, inputstr, pos) poShow = max(min([pos-15 pos-1 pos pos+20],length(inputstr)),1); if poShow(3) == poShow(2) poShow(3:4) = poShow(2)+[0 -1]; % display nothing after end msg = [sprintf(msg, pos) ': ' ... inputstr(poShow(1):poShow(2)) '' inputstr(poShow(3):poShow(4)) ]; error( ['JSONLAB:JSON:InvalidFormat: ' msg] ); end %%------------------------------------------------------------------------- function newpos=skip_whitespace(pos, inputstr) newpos=pos; while newpos <= length(inputstr) && isspace(inputstr(newpos)) newpos = newpos + 1; end end %%------------------------------------------------------------------------- function newstr=unescapejsonstring(str) newstr=str; if(iscell(str)) try newstr=cell2mat(cellfun(@(x) cell2mat(x),str(:),'un',0)); catch end end if(~ischar(str)) return; end escapechars={'\\','\"','\/','\a','\b','\f','\n','\r','\t','\v'}; for i=1:length(escapechars); newstr=regexprep(newstr,regexprep(escapechars{i},'\\','\\\\'), escapechars{i}); end newstr=regexprep(newstr,'\\u([0-9A-Fa-f]{4})', '${char(base2dec($1,16))}'); end %%------------------------------------------------------------------------- function arraystr=sscanf_prep(str) arraystr=str; if(regexp(str,'"','once')) arraystr=regexprep(arraystr,'"_NaN_"','NaN'); arraystr=regexprep(arraystr,'"([-+]*)_Inf_"','$1Inf'); end arraystr(arraystr==sprintf('\n'))=[]; arraystr(arraystr==sprintf('\r'))=[]; end %%------------------------------------------------------------------------- function [obj, nextidx,nextdim]=parse2darray(inputstr,startpos,arraystr) rowend=match_bracket(inputstr,startpos); rowstr=sscanf_prep(inputstr(startpos-1:rowend)); [vec1, nextdim, errmsg, nextidx]=sscanf(rowstr,'%f,',[1 inf]); if(nargin==2) obj=nextdim; return; end astr=arraystr; astr(astr=='[')=''; astr(astr==']')=''; astr=regexprep(deblank(astr),'\s+,',','); [obj, count, errmsg, nextidx]=sscanf(astr,'%f,',inf); if(nextidx>=length(astr)-1) obj=reshape(obj,nextdim,numel(obj)/nextdim); nextidx=length(arraystr)+1; end end octave-iso2mesh-1.9.6+ds/jnii2nii.m0000644001356000007640000002134413724766530016027 0ustar fangqadminfunction nii=jnii2nii(jnii, varargin) % % nii=jnii2nii(jnii) % or % nii=jnii2nii(jniifile) % jnii2nii(jniifile, niifile) % % Covert a JNIfTI file or data structure to a NIfTI-1/2 structure or file % % This function is compatible with both MATLAB and GNU Octave. % It accepts .jnii and .bnii input files % % author: Qianqian Fang (q.fang neu.edu) % % input: % jnii: a JNIfTI data structure (a struct with NIFTIHeader and NIFTIData fields); % if jnii is a string, it represents a JNIfTI file (.jnii/.bnii) % niifile: if the 2nd parameter is given as a file name, the converted nifti data % will be save as a nii file with filename specified by niifile. % if the filename in niifile contains .gz, the file will be compressed using % the zmat toolbox. % % output: % nii: is the converted nifti-1/2 data structure, it contains the below subfields % nii.img: the data volume read from the nii file % nii.hdr: extended raw file header, a structure that is byte-wise compatible with a % nifti-1 - in this case, typecast(nii.hdr,'uint8') must be 348+4=352 bytes, % including the raw nifti-1 hdr header (348 bytes) plus the 4-byte % extension flags), or % nifti-2 - in this case, typecast(nii.hdr,'uint8') must be 540+4=544 bytes, % including the raw nifti-2 hdr header (540 bytes) plus the 4-byte % extension flags) % if one run nii.hdr.extension=[]; the resulting struct is 348/540-byte in length % nii.hdr key subfileds include % % sizeof_hdr: must be 348 (for NIFTI-1) or 540 (for NIFTI-2) % dim: short array, dim(2: dim(1)+1) defines the array size % datatype: the type of data stored in each voxel % bitpix: total bits per voxel % magic: must be 'ni1\0' or 'n+1\0' for NIFTI-1 data, and 'ni2\0' or 'n+2\0' for NIFTI-2 data % % For the detailed nii header, please see % https://nifti.nimh.nih.gov/pub/dist/src/niftilib/nifti1.h % % dependency: % % To load a JNIfTI file with compression or niifile ends with (.nii.gz/.hdr.gz/.img.gz), % one must install the ZMat Toolbox (http://github.com/fangq/zmat) and % JSONLab Toolbox (http://github.com/fangq/jsonlab); % % this file is part of JNIfTI specification: https://github.com/fangq/jnifti % % License: Apache 2.0, see https://github.com/fangq/jnifti for details % if(nargin<=0) help jnii2nii return; end if(~isstruct(jnii)) jnii=loadjnifti(jnii); end if(~(isfield(jnii,'NIFTIHeader') && isfield(jnii,'NIFTIData'))) error('input must be a valid JNIfTI structure (needs both NIFTIHeader and NIFTIData subfields)'); end niiformat='nifti1'; if((isfield(jnii.NIFTIHeader,'NIIFormat') && ismember(jnii.NIFTIHeader.NIIFormat(1:3),{'ni2','n+2'})) || max(jnii.NIFTIHeader.Dim)>=2^32) niiformat='nifti2'; end nii.hdr=nifticreate(jnii.NIFTIData, niiformat); nii.img=jnii.NIFTIData; if(isfield(jnii.NIFTIHeader,'NIIHeaderSize')) nii.hdr.sizeof_hdr =bytematch(jnii.NIFTIHeader, 'NIIHeaderSize', nii.hdr.sizeof_hdr); end if(isfield(nii.hdr,'data_type')) nii.hdr.data_type =bytematch(jnii.NIFTIHeader, 'A75DataTypeName', nii.hdr.data_type); nii.hdr.db_name =bytematch(jnii.NIFTIHeader, 'A75DBName', nii.hdr.db_name); nii.hdr.extents =bytematch(jnii.NIFTIHeader, 'A75Extends', nii.hdr.extents); nii.hdr.session_error =bytematch(jnii.NIFTIHeader, 'A75SessionError', nii.hdr.session_error); nii.hdr.regular =bytematch(jnii.NIFTIHeader, 'A75Regular', nii.hdr.regular); end dim_info=bitor(uint8(jnii.NIFTIHeader.DimInfo.Freq),bitshift(uint8(jnii.NIFTIHeader.DimInfo.Phase),3)); dim_info=bitor(dim_info,bitshift(uint8(jnii.NIFTIHeader.DimInfo.Slice),6)); nii.hdr.dim_info=cast(dim_info, class(nii.hdr.dim_info)); nii.hdr.dim(1)=cast(length(jnii.NIFTIHeader.Dim),class(nii.hdr.dim)); nii.hdr.dim(2:1+length(jnii.NIFTIHeader.Dim)) =bytematch(jnii.NIFTIHeader, 'Dim', nii.hdr.dim(2:1+length(jnii.NIFTIHeader.Dim))); nii.hdr.intent_p1 =bytematch(jnii.NIFTIHeader, 'Param1', nii.hdr.intent_p1); nii.hdr.intent_p2 =bytematch(jnii.NIFTIHeader, 'Param2', nii.hdr.intent_p2); nii.hdr.intent_p3 =bytematch(jnii.NIFTIHeader, 'Param3', nii.hdr.intent_p3); if(ischar(jnii.NIFTIHeader.Intent)) jnii.NIFTIHeader.Intent=niicodemap('intent',jnii.NIFTIHeader.Intent); end nii.hdr.intent_code =bytematch(jnii.NIFTIHeader, 'Intent', nii.hdr.intent_code); if(ischar(jnii.NIFTIHeader.DataType)) jnii.NIFTIHeader.DataType=niicodemap('datatype',jnii.NIFTIHeader.DataType); end nii.hdr.datatype =bytematch(jnii.NIFTIHeader, 'DataType', nii.hdr.datatype); nii.hdr.bitpix =bytematch(jnii.NIFTIHeader, 'BitDepth', nii.hdr.bitpix); nii.hdr.slice_start =bytematch(jnii.NIFTIHeader, 'FirstSliceID', nii.hdr.slice_start); nii.hdr.pixdim(1)=cast(length(jnii.NIFTIHeader.VoxelSize),class(nii.hdr.pixdim)); nii.hdr.pixdim(2:2+nii.hdr.dim(1)-1) =bytematch(jnii.NIFTIHeader, 'VoxelSize', nii.hdr.pixdim(2:2+nii.hdr.dim(1)-1)); nii.hdr.vox_offset =bytematch(jnii.NIFTIHeader, 'NIIByteOffset', nii.hdr.vox_offset); nii.hdr.scl_slope =bytematch(jnii.NIFTIHeader, 'ScaleSlope', nii.hdr.scl_slope); nii.hdr.scl_inter =bytematch(jnii.NIFTIHeader, 'ScaleOffset', nii.hdr.scl_inter); nii.hdr.slice_end =bytematch(jnii.NIFTIHeader, 'LastSliceID', nii.hdr.slice_end); if(ischar(jnii.NIFTIHeader.SliceType)) jnii.NIFTIHeader.SliceType=niicodemap('slicetype',jnii.NIFTIHeader.SliceType); end nii.hdr.slice_code =bytematch(jnii.NIFTIHeader, 'SliceType', nii.hdr.slice_code); if(ischar(jnii.NIFTIHeader.Unit.L)) jnii.NIFTIHeader.Unit.L=niicodemap('unit',jnii.NIFTIHeader.Unit.L); end if(ischar(jnii.NIFTIHeader.Unit.T)) jnii.NIFTIHeader.Unit.T=niicodemap('unit',jnii.NIFTIHeader.Unit.T); end xyzt_units=bitor(uint8(jnii.NIFTIHeader.Unit.L),uint8(jnii.NIFTIHeader.Unit.T)); nii.hdr.xyzt_units=cast(xyzt_units, class(nii.hdr.xyzt_units)); nii.hdr.cal_max =bytematch(jnii.NIFTIHeader, 'MaxIntensity', nii.hdr.cal_max); nii.hdr.cal_min =bytematch(jnii.NIFTIHeader, 'MinIntensity', nii.hdr.cal_min); nii.hdr.slice_duration =bytematch(jnii.NIFTIHeader, 'SliceTime', nii.hdr.slice_duration); nii.hdr.toffset =bytematch(jnii.NIFTIHeader, 'TimeOffset', nii.hdr.toffset); if(isfield(nii.hdr,'glmax')) nii.hdr.glmax =bytematch(jnii.NIFTIHeader, 'A75GlobalMax', nii.hdr.glmax); nii.hdr.glmin =bytematch(jnii.NIFTIHeader, 'A75GlobalMin', nii.hdr.glmin); end nii.hdr.descrip =bytematch(jnii.NIFTIHeader, 'Description', nii.hdr.descrip); nii.hdr.aux_file =bytematch(jnii.NIFTIHeader, 'AuxFile', nii.hdr.aux_file); nii.hdr.qform_code =bytematch(jnii.NIFTIHeader, 'QForm', nii.hdr.qform_code); nii.hdr.sform_code =bytematch(jnii.NIFTIHeader, 'SForm', nii.hdr.sform_code); nii.hdr.quatern_b =bytematch(jnii.NIFTIHeader, 'Quatern.b', nii.hdr.quatern_b); nii.hdr.quatern_c =bytematch(jnii.NIFTIHeader, 'Quatern.c', nii.hdr.quatern_c); nii.hdr.quatern_d =bytematch(jnii.NIFTIHeader, 'Quatern.d', nii.hdr.quatern_d); nii.hdr.qoffset_x =bytematch(jnii.NIFTIHeader, 'QuaternOffset.x', nii.hdr.qoffset_x); nii.hdr.qoffset_y =bytematch(jnii.NIFTIHeader, 'QuaternOffset.y', nii.hdr.qoffset_y); nii.hdr.qoffset_z =bytematch(jnii.NIFTIHeader, 'QuaternOffset.z', nii.hdr.qoffset_z); nii.hdr.srow_x =cast(jnii.NIFTIHeader.Affine(1,:), class(nii.hdr.srow_x)); nii.hdr.srow_y =cast(jnii.NIFTIHeader.Affine(2,:), class(nii.hdr.srow_y)); nii.hdr.srow_z =cast(jnii.NIFTIHeader.Affine(3,:), class(nii.hdr.srow_z)); nii.hdr.intent_name =bytematch(jnii.NIFTIHeader, 'Name', nii.hdr.intent_name); %nii.hdr.magic =bytematch(jnii.NIFTIHeader, 'NIIFormat', nii.hdr.magic); if(isfield(jnii.NIFTIHeader,'NIIExtender')) nii.hdr.extension =bytematch(jnii.NIFTIHeader, 'NIIExtender', nii.hdr.extension); end if(isfield(jnii.NIFTIHeader,'NIIQfac_')) nii.hdr.pixdim(1) =bytematch(jnii.NIFTIHeader, 'NIIQfac_', nii.hdr.pixdim(1)); end if(isfield(jnii.NIFTIHeader,'NIIUnused_')) nii.hdr.reserved =bytematch(jnii.NIFTIHeader, 'NIIUnused_', nii.hdr.reserved); end if(isfield(jnii,'NIFTIExtension') && iscell(jnii.NIFTIExtension)) nii.extension=jnii.NIFTIExtension; if(nii.hdr.extension(1)~=length(jnii.NIFTIExtension)) nii.hdr.extension(1)=length(jnii.NIFTIExtension); warning('header extension count does not match the extension data, force update'); end end if(nargin>=2 && ischar(varargin{1})) savenifti(nii.img, varargin{1}, nii.hdr); end %--------------------------------------------------------------------------- function dat=bytematch(jobj, key, orig) dtype=class(orig); dat=orig; if(isfield(jobj,key)) dat=cast(jobj.(key),dtype); else dat=cast(0,dtype); end if(length(dat) neu.edu) % initially created on 2013/08/17 % % Format specifications: % Binary JData (BJData):https://github.com/fangq/bjdata % UBJSON: https://github.com/ubjson/universal-binary-json % MessagePack: https://github.com/msgpack/msgpack % % This function is the same as calling "savebj(...,'ubjson',1)". By , % default this function creates UBJSON-compliant output without the % newly added uint16(u), uint32(m), uint64(M) and half-precision float (h) % data types. % % This function by default still enables an optimized ND-array format for efficient % array storage. To ensure the output compatible to UBJSON Draft-12, one should use % "saveubjson(...,'NestArray',1)" or "savebj(...,'ubjson',1,'NestArray',1)" % % input: % rootname: the name of the root-object, when set to '', the root name % is ignored, however, when opt.ForceRootName is set to 1 (see below), % the MATLAB variable name will be used as the root name. % obj: a MATLAB object (array, cell, cell array, struct, struct array, % class instance) % filename: a string for the file name to save the output UBJSON data % opt: a struct for additional options, ignore to use default values. % opt can have the following fields (first in [.|.] is the default) % % opt can be replaced by a list of ('param',value) pairs. The param % string is equivallent to a field in opt and is case sensitive. % % Please type "help savebj" for details for all supported options. % % output: % json: a binary string in the UBJSON format (see http://ubjson.org) % % examples: % jsonmesh=struct('MeshVertex3',[0 0 0;1 0 0;0 1 0;1 1 0;0 0 1;1 0 1;0 1 1;1 1 1],... % 'MeshTet4',[1 2 4 8;1 3 4 8;1 2 6 8;1 5 6 8;1 5 7 8;1 3 7 8],... % 'MeshTri3',[1 2 4;1 2 6;1 3 4;1 3 7;1 5 6;1 5 7;... % 2 8 4;2 8 6;3 8 4;3 8 7;5 8 6;5 8 7],... % 'MeshCreator','FangQ','MeshTitle','T6 Cube',... % 'SpecialData',[nan, inf, -inf]); % saveubjson(jsonmesh) % saveubjson('',jsonmesh,'meshdata.ubj') % saveubjson('mesh1',jsonmesh,'FileName','meshdata.msgpk','MessagePack',1) % saveubjson('',jsonmesh,'KeepType',1) % % license: % BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details % % -- this function is part of JSONLab toolbox (http://iso2mesh.sf.net/cgi-bin/index.cgi?jsonlab) % if(nargin==1) ubj=savebj('',rootname,'ubjson',1); elseif(length(varargin)==1 && ischar(varargin{1})) ubj=savebj(rootname,obj,'FileName',varargin{1},'ubjson',1); else ubj=savebj(rootname,obj,varargin{:},'ubjson',1); end octave-iso2mesh-1.9.6+ds/removeisolatednode.m0000644001356000007640000000222513724766530020201 0ustar fangqadminfunction [no,el]=removeisolatednode(node,elem) % % [no,el]=removeisolatednode(node,elem) % % remove isolated nodes: nodes that are not included in any element % % author: Qianqian Fang, % % input: % node: list of node coordinates % elem: list of elements of the mesh, can be a regular array or a cell array for PLCs % % output: % no: node coordinates after removing the isolated nodes % el: element list of the resulting mesh % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % oid=1:size(node,1); % old node index if(~iscell(elem)) idx=setdiff(oid,elem(:)); % indices to the isolated nodes else el=cell2mat(elem); idx=setdiff(oid,el(:)); % indices to the isolated nodes end idx=sort(idx); delta=zeros(size(oid)); delta(idx)=1; delta=-cumsum(delta); % calculate the new node index after removing the isolated nodes oid=oid+delta; % map to new index if(~iscell(elem)) el=oid(elem); % element list in the new index else el=cellfun(@(x) oid(x), elem,'UniformOutput',false); end no=node; no(idx,:)=[]; % remove the isolated nodes octave-iso2mesh-1.9.6+ds/readasc.m0000644001356000007640000000157213724766530015717 0ustar fangqadminfunction [node,elem]=readasc(fname) % % [node,elem]=readasc(fname) % % read FreeSurfer ASC mesh format % % author: Qianqian Fang % date: 2009/04/02 % % input: % fname: name of the asc file % % output: % node: node positions of the mesh % elem: element list of the mesh % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % node=[]; elem=[]; fid=fopen(fname,'rt'); if(fid==-1) error(['can not read file ' fname]); end line=fgetl(fid); % the first line is #!ascii .... dim=fscanf(fid,'%d',2); node=fscanf(fid,'%f',[4,dim(1)])'; elem=fscanf(fid,'%f',inf); fclose(fid); if(length(elem)==4*dim(2)) elem=reshape(elem,[4,dim(2)])'; elseif(length(elem)==8*dim(2)) elem=reshape(elem,[8,dim(2)])'; end if(~any(node(:,end))) node=node(:,1:end-1); end if(~any(elem(:,end))) elem=elem(:,1:end-1); end elem=elem+1; octave-iso2mesh-1.9.6+ds/lzipdecode.m0000644001356000007640000000266213724766530016440 0ustar fangqadminfunction varargout = lzipdecode(varargin) % % output = lzipdecode(input) % or % output = lzipdecode(input,info) % % Decompressing an Lzip-compressed byte-stream to recover the original data % This function depends on the ZMat toolbox (http://github.com/fangq/zmat) % % authors:Qianqian Fang (q.fang neu.edu) % % input: % input: a string, int8/uint8 vector or numerical array to store Lzip-compressed data % info (optional): a struct produced by the zmat/lzipencode function during % compression; if not given, the inputs/outputs will be treated as a % 1-D vector % % output: % output: the decompressed byte stream stored in a uint8 vector; if info is % given, output will restore the original data's type and dimensions % % examples: % [bytes, info]=lzipencode(eye(10)); % orig=lzipdecode(bytes,info); % % license: % BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details % % -- this function is part of JSONLab toolbox (http://iso2mesh.sf.net/cgi-bin/index.cgi?jsonlab) % if(nargin==0) error('you must provide at least 1 input'); end if(exist('zmat','file')==2 || exist('zmat','file')==3) if(nargin>1) [varargout{1:nargout}]=zmat(varargin{1},varargin{2:end}); else [varargout{1:nargout}]=zmat(varargin{1},0,'lzip',varargin{2:end}); end else error('you must install ZMat toolbox to use this feature: http://github.com/fangq/zmat') end octave-iso2mesh-1.9.6+ds/saveoff.m0000644001356000007640000000136313724766530015744 0ustar fangqadminfunction saveoff(v,f,fname) % % saveoff(v,f,fname) % % save a surface mesh to Geomview Object File Format (OFF) % % author: Qianqian Fang, % date: 2007/03/28 % % input: % v: input, surface node list, dimension (nn,3) % f: input, surface face element list, dimension (be,3) % fname: output file name % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % fid=fopen(fname,'wt'); if(fid==-1) error('You do not have permission to save mesh files.'); end fprintf(fid,'OFF\n'); fprintf(fid,'%d\t%d\t%d\n',length(v),length(f),0); fprintf(fid,'%.16f\t%.16f\t%.16f\n',v'); face=[size(f,2)*ones(size(f,1),1) f-1]; format=[repmat('%d\t',1,size(face,2)-1) '%d\n']; fprintf(fid,format,face'); fclose(fid); octave-iso2mesh-1.9.6+ds/surfseeds.m0000644001356000007640000000115013724766530016310 0ustar fangqadminfunction seeds=surfseeds(node,face) % % seeds=surfseeds(node,face) % % calculate a set of interior points with each enclosed by a closed % component of a surface % % author: Qianqian Fang, % % input: % node: a list of node coordinates (nn x 3) % face: a surface mesh triangle list (ne x 3) % % output: % seeds: the interior points coordinates for each closed-surface % component % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % fc=finddisconnsurf(face(:,1:3)); len=length(fc); seeds=zeros(len,3); for i=1:len seeds(i,:)=surfinterior(node,fc{i}); endoctave-iso2mesh-1.9.6+ds/loadbj.m0000644001356000007640000003421113724766530015544 0ustar fangqadminfunction data = loadbj(fname,varargin) % % data=loadbj(fname,opt) % or % data=loadbj(fname,'param1',value1,'param2',value2,...) % % Parse a Binary JData (BJData v1 Draft-1, defined in https://github.com/OpenJData/bjdata) % file or memory buffer and convert into a MATLAB data structure % % authors:Qianqian Fang (q.fang neu.edu) % initially created on 2013/08/01 % % input: % fname: input file name, if fname contains "{}" or "[]", fname % will be interpreted as a BJData/UBJSON string % opt: a struct to store parsing options, opt can be replaced by % a list of ('param',value) pairs - the param string is equivallent % to a field in opt. opt can have the following % fields (first in [.|.] is the default) % % SimplifyCell [1|0]: if set to 1, loadbj will call cell2mat % for each element of the JSON data, and group % arrays based on the cell2mat rules. % IntEndian [B|L]: specify the endianness of the integer fields % in the BJData/UBJSON input data. B - Big-Endian format for % integers (as required in the UBJSON specification); % L - input integer fields are in Little-Endian order. % NameIsString [0|1]: for UBJSON Specification Draft 8 or % earlier versions (JSONLab 1.0 final or earlier), % the "name" tag is treated as a string. To load % these UBJSON data, you need to manually set this % flag to 1. % UseMap [0|1]: if set to 1, loadjson uses a containers.Map to % store map objects; otherwise use a struct object % ObjectID [0|interger or list]: if set to a positive number, % it returns the specified JSON object by index % in a multi-JSON document; if set to a vector, % it returns a list of specified objects. % FormatVersion [2|float]: set the JSONLab format version; since % v2.0, JSONLab uses JData specification Draft 1 % for output format, it is incompatible with all % previous releases; if old output is desired, % please set FormatVersion to 1.9 or earlier. % % output: % dat: a cell array, where {...} blocks are converted into cell arrays, % and [...] are converted to arrays % % examples: % obj=struct('string','value','array',[1 2 3]); % ubjdata=savebj('obj',obj); % dat=loadbj(ubjdata) % dat=loadbj(['examples' filesep 'example1.bjd']) % dat=loadbj(['examples' filesep 'example1.bjd'],'SimplifyCell',0) % % license: % BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details % % -- this function is part of JSONLab toolbox (http://iso2mesh.sf.net/cgi-bin/index.cgi?jsonlab) % if(exist(fname,'file')) fid = fopen(fname,'rb'); string = fread(fid,inf,'uint8=>char')'; fclose(fid); elseif(regexp(fname, '^\s*[\[\{SCHiUIulmLMhdDTFZN]')) string=fname; else error_pos('input file does not exist or buffer is invalid'); end pos = 1; inputlen = length(string); inputstr = string; arraytoken=find(inputstr=='[' | inputstr==']' | inputstr=='"'); jstr=regexprep(inputstr,'\\\\',' '); escquote=regexp(jstr,'\\"'); arraytoken=sort([arraytoken escquote]); opt=varargin2struct(varargin{:}); opt.arraytoken_=arraytoken; opt.simplifycell=jsonopt('SimplifyCell',1,opt); opt.simplifycellarray=jsonopt('SimplifyCellArray',0,opt); opt.usemap=jsonopt('UseMap',0,opt); opt.nameisstring=jsonopt('NameIsString',0,opt); [os,maxelem,systemendian]=computer; opt.flipendian_=(systemendian ~= upper(jsonopt('IntEndian','B',opt))); objid=jsonopt('ObjectID',0,opt); maxobjid=max(objid); if(maxobjid==0) maxobjid=inf; end jsoncount=1; while pos <= inputlen [cc, pos]=next_char(inputstr, pos); switch(cc) case '{' [data{jsoncount}, pos] = parse_object(inputstr, pos, opt); case '[' [data{jsoncount}, pos] = parse_array(inputstr, pos, opt); case {'S','C','H','i','U','I','u','l','m','L','M','h','d','D','T','F','Z','N'} [data{jsoncount}, pos] = parse_value(inputstr, pos, opt); otherwise error_pos('Outer level structure must be an object or an array', inputstr, pos); end if(jsoncount>=maxobjid) break; end jsoncount=jsoncount+1; end % while if(length(objid)>1 || min(objid)>1) data=data(objid(objid<=length(data))); end jsoncount=length(data); if(jsoncount==1 && iscell(data)) data=data{1}; end if(jsonopt('JDataDecode',1,varargin{:})==1) data=jdatadecode(data,'Base64',0,'Recursive',1,varargin{:}); end end %%------------------------------------------------------------------------- %% helper functions %%------------------------------------------------------------------------- function [data, adv]=parse_block(inputstr, pos, type,count,varargin) [cid,len]=elem_info(inputstr, pos, type); datastr=inputstr(pos:pos+len*count-1); newdata=uint8(datastr); %id=strfind('iUIulmLMhdD',type); if(varargin{1}.flipendian_) newdata=swapbytes(typecast(newdata,cid)); end data=typecast(newdata,cid); adv=double(len*count); end %%------------------------------------------------------------------------- function [object, pos] = parse_array(inputstr, pos, varargin) % JSON array is written in row-major order pos=parse_char(inputstr, pos, '['); object = cell(0, 1); dim=[]; type=''; count=-1; [cc,pos]=next_char(inputstr,pos); if(cc == '$') type=inputstr(pos+1); pos=pos+2; end [cc,pos]=next_char(inputstr,pos); if(cc == '#') pos=pos+1; [cc,pos]=next_char(inputstr,pos); if(cc=='[') if(isfield(varargin{1},'noembedding_') && varargin{1}.noembedding_==1) error_pos('ND array size specifier does not support embedding'); end varargin{1}.noembedding_=1; [dim, pos]=parse_array(inputstr, pos, varargin{:}); count=prod(double(dim)); varargin{1}.noembedding_=0; else [val,pos]=parse_number(inputstr,pos, varargin{:}); count=double(val); end end if(~isempty(type)) if(count>=0) [object, adv]=parse_block(inputstr, pos, type,count,varargin{:}); if(~isempty(dim)) object=reshape(object,dim); end pos=pos+adv; return; else endpos=match_bracket(inputstr,pos); [cid,len]=elem_info(inputstr, pos, type); count=(endpos-pos)/len; [object, adv]=parse_block(inputstr, pos, type,count,varargin{:}); pos=pos+adv; pos=parse_char(inputstr, pos, ']'); return; end end [cc,pos]=next_char(inputstr,pos); if cc ~= ']' while 1 [val, pos] = parse_value(inputstr, pos, varargin{:}); object{end+1} = val; [cc,pos]=next_char(inputstr,pos); if cc == ']' break; end end end if(varargin{1}.simplifycell) if(iscell(object) && ~isempty(object) && isnumeric(object{1})) if(all(cellfun(@(e) isequal(size(object{1}), size(e)) , object(2:end)))) try oldobj=object; if(iscell(object) && length(object)>1 && ndims(object{1})>=2) catdim=size(object{1}); catdim=ndims(object{1})-(catdim(end)==1)+1; object=cat(catdim,object{:}); object=permute(object,ndims(object):-1:1); else object=cell2mat(object')'; end if(iscell(oldobj) && isstruct(object) && numel(object)>1 && varargin{1}.simplifycellarray==0) object=oldobj; end catch end end end if(~iscell(object) && size(object,1)>1 && ndims(object)==2) object=object'; end end if(count==-1) pos=parse_char(inputstr, pos, ']'); end end %%------------------------------------------------------------------------- function pos=parse_char(inputstr, pos, c) if pos > length(inputstr) || inputstr(pos) ~= c error_pos(sprintf('Expected %c at position %%d', c),inputstr, pos); else pos = pos + 1; end end %%------------------------------------------------------------------------- function [c, pos] = next_char(inputstr, pos) if pos > length(inputstr) c = []; else c = inputstr(pos); while(c=='N') pos=pos+1; c = inputstr(pos); end end end %%------------------------------------------------------------------------- function [str, pos] = parse_name(inputstr, pos, varargin) [val, pos]=parse_number(inputstr,pos,varargin{:}); bytelen=double(val); if(length(inputstr)>=pos+bytelen-1) str=inputstr(pos:pos+bytelen-1); pos=pos+bytelen; else error_pos('End of file while expecting end of name', inputstr, pos); end end %%------------------------------------------------------------------------- function [str, pos] = parseStr(inputstr, pos, varargin) type=inputstr(pos); if type ~= 'S' && type ~= 'C' && type ~= 'H' error_pos('String starting with S expected at position %d',inputstr, pos); else pos = pos + 1; end if(type == 'C') str=inputstr(pos); pos=pos+1; return; end [val, pos]=parse_number(inputstr,pos,varargin{:}); bytelen=double(val); if(length(inputstr)>=pos+bytelen-1) str=inputstr(pos:pos+bytelen-1); pos=pos+bytelen; else error_pos('End of file while expecting end of inputstr',inputstr, pos); end end %%------------------------------------------------------------------------- function [num, pos] = parse_number(inputstr, pos, varargin) id=strfind('iUIulmLMhdD',inputstr(pos)); if(isempty(id)) error_pos('expecting a number at position %d',inputstr, pos); end type={'int8','uint8','int16','uint16','int32','uint32','int64','uint64','half','single','double'}; bytelen=[1,1,2,2,4,4,8,8,2,4,8]; if(~exist('half','builtin')) type{9}='uint16'; end datastr=inputstr(pos+1:pos+bytelen(id)); newdata=uint8(datastr); if(varargin{1}.flipendian_) newdata=swapbytes(typecast(newdata,type{id})); end num=typecast(newdata,type{id}); pos = pos + bytelen(id)+1; end %%------------------------------------------------------------------------- function [val, pos] = parse_value(inputstr, pos, varargin) [cc,pos]=next_char(inputstr,pos); switch(cc) case {'S','C','H'} [val, pos] = parseStr(inputstr, pos, varargin{:}); return; case '[' [val, pos] = parse_array(inputstr, pos, varargin{:}); return; case '{' [val, pos] = parse_object(inputstr, pos, varargin{:}); return; case {'i','U','I','u','l','m','L','M','h','d','D'} [val, pos] = parse_number(inputstr, pos, varargin{:}); return; case 'T' val = true; pos = pos + 1; return; case 'F' val = false; pos = pos + 1; return; case {'Z','N'} val = []; pos = pos + 1; return; end error_pos('Value expected at position %d', inputstr, pos); end %%------------------------------------------------------------------------- function pos=error_pos(msg, inputstr, pos) poShow = max(min([pos-15 pos-1 pos pos+20],length(inputstr)),1); if poShow(3) == poShow(2) poShow(3:4) = poShow(2)+[0 -1]; % display nothing after end msg = [sprintf(msg, pos) ': ' ... inputstr(poShow(1):poShow(2)) '' inputstr(poShow(3):poShow(4)) ]; error( ['JSONLAB:BJData:InvalidFormat: ' msg] ); end %%------------------------------------------------------------------------- function [object, pos] = parse_object(inputstr, pos, varargin) pos=parse_char(inputstr,pos,'{'); usemap=varargin{1}.usemap; if(usemap) object = containers.Map(); else object = []; end count=-1; [cc, pos]=next_char(inputstr,pos); if(cc == '$') pos=pos+2; end [cc, pos]=next_char(inputstr,pos); if(cc == '#') pos=pos+1; [val,pos]=parse_number(inputstr, pos, varargin{:}); count=double(val); end [cc, pos]=next_char(inputstr,pos); if cc ~= '}' num=0; while 1 if(varargin{1}.nameisstring) [str, pos] = parseStr(inputstr, pos, varargin{:}); else [str, pos] = parse_name(inputstr, pos, varargin{:}); end if isempty(str) error_pos('Name of value at position %d cannot be empty', inputstr, pos); end [val, pos] = parse_value(inputstr, pos, varargin{:}); num=num+1; if(usemap) object(str)=val; else object.(encodevarname(str,varargin{:}))=val; end [cc, pos]=next_char(inputstr,pos); if cc == '}' || (count>=0 && num>=count) break; end end end if(count==-1) pos=parse_char(inputstr, pos, '}'); end end %%------------------------------------------------------------------------- function [cid,len]=elem_info(inputstr, pos, type) id=strfind('iUIulmLMhdD',type); type={'int8','uint8','int16','uint16','int32','uint32','int64','uint64','half','single','double'}; bytelen=[1,1,2,2,4,4,8,8,2,4,8]; if(~exist('half','builtin')) type{9}='uint16'; end if(id>0) cid=type{id}; len=bytelen(id); else error_pos('unsupported type at position %d',inputstr, pos); end end octave-iso2mesh-1.9.6+ds/nodesurfnorm.m0000644001356000007640000000242113724766530017030 0ustar fangqadminfunction nv=nodesurfnorm(node,elem) % nv=nodesurfnorm(node,elem) % % calculate a nodal norm for each vertix on a surface mesh (surface % can only be triangular or cubic) % % author: Qianqian Fang % date: 12/12/2008 % % parameters: % node: node coordinate of the surface mesh (nn x 3) % elem: element list of the surface mesh (3 columns for % triangular mesh, 4 columns for cubic surface mesh) % pt: points to be projected, 3 columns for x,y and z respectively % % outputs: % nv: nodal norms (vector) calculated from nodesurfnorm.m % with dimensions of (size(v,1),3) % % Please find more information at http://iso2mesh.sf.net/cgi-bin/index.cgi?metch % % this function is part of "metch" toobox, see COPYING for license nn=size(node,1); ne=size(elem,1); nedim=size(elem,2); ev=surfacenorm(node,elem); nv=zeros(nn,3); ev2=repmat(ev,1,3); for i=1:ne nv(elem(i,:),:)=nv(elem(i,:),:)+reshape(ev2(i,:),3,3)'; end nvnorm=sqrt(sum(nv.*nv,2)); idx=find(nvnorm>0); if(length(idx) % date: 2007/11/21 % % input: % v: input, surface node list, dimension (nn,3) % if v has 4 columns, the last column specifies mesh density near each node % f: input, surface face element list, dimension (be,3) % holelist: list of holes, each hole is represented by an internal point % regionlist: list of regions, similar to holelist % p0: coordinate of one of the end of the bounding box % p1: coordinate for the other end of the bounding box % fname: output file name % forcebox: non-empty: add bounding box, []: automatic % if forcebox is a 8x1 vector, it will be used to % specify max-edge size near the bounding box corners % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % dobbx=0; if(nargin>=8) dobbx=~isempty(forcebox) && all(forcebox); end if(~iscell(f) && size(f,2)==4) faceid=f(:,4); f=f(:,1:3); end if(~iscell(f)) edges=surfedge(f); else edges=[]; end bbxnum=0; nodesize=[]; if(size(v,2)==4) nodesize=v(:,4); v=v(:,1:3); end node=v; loopid=[]; loopvert={}; loopnum=1; if(~isempty(edges)) loops=extractloops(edges); if(length(loops)<3) error('degenerated loops detected'); end seg=[0,find(isnan(loops))]; segnum=length(seg)-1; newloops=[]; for i=1:segnum if(seg(i+1)-(seg(i)+1)==0) continue; end oneloop=loops(seg(i)+1:seg(i+1)-1); if(oneloop(1)==oneloop(end)) oneloop(end)=[]; end newloops=[newloops nan bbxflatsegment(node,oneloop)]; end loops=[newloops nan]; seg=[0,find(isnan(loops))]; segnum=length(seg)-1; bbxnum=6; loopcount=zeros(bbxnum,1); loopid=zeros(segnum,1); for i=1:segnum % walk through the edge loops subloop=loops(seg(i)+1:seg(i+1)-1); if(isempty(subloop)) continue; end loopvert{loopnum}=subloop; loopnum=loopnum+1; boxfacet=find(sum(abs(diff(v(subloop,:))))<1e-8); % find a flat loop if(length(boxfacet)==1) % if the loop is flat along x/y/z dir bf=boxfacet(1); % no degeneracy allowed if(sum(abs(v(subloop(1),bf)-p0(bf)))<1e-2) loopcount(bf)=loopcount(bf)+1; v(subloop,bf)=p0(bf); loopid(i)=bf; elseif(sum(abs(v(subloop(1),bf)-p1(bf)))<1e-2) loopcount(bf+3)=loopcount(bf+3)+1; v(subloop,bf)=p1(bf); loopid(i)=bf+3; end end end end if(dobbx && isempty(edges)) bbxnum=6; loopcount=zeros(bbxnum,1); end if(dobbx || ~isempty(edges)) nn=size(v,1); boxnode=[p0;p1(1),p0(2:3);p1(1:2),p0(3);p0(1),p1(2),p0(3); p0(1:2),p1(3);p1(1),p0(2),p1(3);p1;p0(1),p1(2:3)]; boxelem=[ 4 nn nn+3 nn+7 nn+4; % x=xmin 4 nn nn+1 nn+5 nn+4; % y=ymin 4 nn nn+1 nn+2 nn+3; % z=zmin 4 nn+1 nn+2 nn+6 nn+5; % x=xmax 4 nn+2 nn+3 nn+7 nn+6; % y=ymax 4 nn+4 nn+5 nn+6 nn+7];% z=zmax node=[v;boxnode]; end node=[(0:size(node,1)-1)',node]; fp=fopen(fname,'wt'); fprintf(fp,'#node list\n%d 3 0 0\n',length(node)); fprintf(fp,'%d %.16f %.16f %.16f\n',node'); if(~iscell(f)) fprintf(fp,'#facet list\n%d 1\n',length(f)+bbxnum+length(loopvert)); elem=[3*ones(length(f),1),f-1]; if(~isempty(elem)) if(exist('faceid','var') && length(faceid)==size(elem,1)) fprintf(fp,'1 0 %d\n%d %d %d %d\n',[faceid(:) elem]'); else fprintf(fp,'1 0\n%d %d %d %d\n',elem'); end end if(~isempty(loopvert)) for i=1:length(loopvert) % walk through the edge loops subloop=loopvert{i}-1; fprintf(fp,'1 0 %d\n%d',i,length(subloop)); fprintf(fp,'\t%d',subloop); fprintf(fp,'\n'); end end else % if the surface is recorded as a cell array totalplc=0; for i=1:length(f) if(~iscell(f{i})) totalplc=totalplc+size(f{i},1); else totalplc=totalplc+size(f{i}{1},1); end end fprintf(fp,'#facet list\n%d 1\n',totalplc+bbxnum); for i=1:length(f) plcs=f{i}; faceid=-1; if(iscell(plcs)) % if each face is a cell, use plc{2} for face id if(length(plcs)>1) faceid=plcs{2}; end plcs=plcs{1}; end for row=1:size(plcs,1); plc=plcs(row,:); if(any(isnan(plc))) % we use nan to separate outter contours and holes holeid=find(isnan(plc)); if(faceid>0) fprintf(fp,'%d %d %d\n%d',length(holeid)+1,length(holeid),faceid,holeid(1)-1); else fprintf(fp,'%d %d\n%d',length(holeid)+1,length(holeid),holeid(1)-1); end fprintf(fp,'\t%d',plc(1:holeid(1)-1)-1); fprintf(fp,'\t1\n'); for j=1:length(holeid) if(j==length(holeid)) fprintf(fp,'%d',length(plc(holeid(j)+1:end))); fprintf(fp,'\t%d',plc(holeid(j)+1:end)-1); else fprintf(fp,'%d',length(plc(holeid(j)+1:holeid(j+1)-1))); fprintf(fp,'\t%d',plc(holeid(j)+1:holeid(j+1)-1)-1); end fprintf(fp,'\t1\n'); end for j=1:length(holeid) if(j==length(holeid)) fprintf(fp,'%d %.16f %.16f %.16f\n',j,mean(node(plc(holeid(j)+1:end),2:4))); else fprintf(fp,'%d %.16f %.16f %.16f\n',j,mean(node(plc(holeid(j)+1:holeid(j+1)-1),2:4))); end end else if(faceid>0) fprintf(fp,'1 0 %d\n%d',faceid,length(plc)); else fprintf(fp,'1 0\n%d',length(plc)); end fprintf(fp,'\t%d',plc-1); fprintf(fp,'\t1\n'); end end end end if(dobbx || ~isempty(edges)) for i=1:bbxnum fprintf(fp,'%d %d 1\n',1+loopcount(i),loopcount(i)); fprintf(fp,'%d %d %d %d %d\n',boxelem(i,:)); if(~isempty(edges) && loopcount(i) &&~isempty(find(loopid==i, 1))) endid=find(loopid==i); for k=1:length(endid) j=endid(k); subloop=loops(seg(j)+1:seg(j+1)-1); fprintf(fp,'%d ',length(subloop)); fprintf(fp,'%d ',subloop-1); fprintf(fp,'\n'); end for k=1:length(endid) j=endid(k); subloop=loops(seg(j)+1:seg(j+1)-1); fprintf(fp,'%d %.16f %.16f %.16f\n',k,internalpoint(v,subloop)); %mean(v(subloop,:))); end end end end if(size(holelist,1)) fprintf(fp,'#hole list\n%d\n',size(holelist,1)); for i=1:size(holelist,1) fprintf(fp,'%d %.16f %.16f %.16f\n', i, holelist(i,:)); end else fprintf(fp,'#hole list\n0\n'); end if(size(regionlist,1)) fprintf(fp,'#region list\n%d\n',size(regionlist,1)); if(size(regionlist,2)==3) for i=1:size(regionlist,1) fprintf(fp,'%d %.16f %.16f %.16f %d\n', i, regionlist(i,:),i); end elseif(size(regionlist,2)==4) for i=1:size(regionlist,1) fprintf(fp,'%d %.16f %.16f %.16f %d %.16f\n', i, regionlist(i,1:3),i,regionlist(i,4)); end end end fclose(fp); if(~isempty(nodesize)) if(size(nodesize,1)+size(forcebox(:),1)==size(node,1)) nodesize=[nodesize;forcebox(:)]; end fid=fopen(regexprep(fname,'\.poly$','.mtr'),'wt'); fprintf(fid,'%d 1\n',size(nodesize,1)); fprintf(fid,'%.16f\n',nodesize); fclose(fid); end octave-iso2mesh-1.9.6+ds/readinr.m0000644001356000007640000000340413724766530015735 0ustar fangqadminfunction dat=readinr(fname) % % vol=readinr(fname) % % load a volume from an INR file % % author: Qianqian Fang, % date: 2009/05/03 % % input: % fname: input file name % % output: % dat: output, data read from the inr file % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % fid=fopen(fname,'rb'); s=fread(fid,256,'uchar'); s=char(s)'; if(regexp(s,'#INRIMAGE-4')~=1) error('INRIMAGE header was not found') end nx=regexp(s,'XDIM\s*=\s*([0-9]+)','tokens'); if(length(nx)) nx=str2num(nx{1}{1}); else error('no XDIM found'); end ny=regexp(s,'YDIM\s*=\s*([0-9]+)','tokens'); if(length(ny)) ny=str2num(ny{1}{1}); else error('no YDIM found'); end nz=regexp(s,'ZDIM\s*=\s*([0-9]+)','tokens'); if(length(nz)) nz=str2num(nz{1}{1}); else error('no ZDIM found'); end nv=regexp(s,'VDIM\s*=\s*([0-9]+)','tokens'); if(length(nv)) nv=str2num(nv{1}{1}); else nv=1; end type=regexp(s,'TYPE=([a-z ]+)','tokens'); if(length(type)) type=type{1}{1}; else error('no TYPE found'); end pixel=regexp(s,'PIXSIZE=([0-9]+)','tokens'); if(length(pixel)) pixel=str2num(pixel{1}{1}); else error('no PIXSIZE found'); end %header=sprintf(['#INRIMAGE-4#{\nXDIM=%d\nYDIM=%d\nZDIM=%d\nVDIM=1\nTYPE=%s\n' ... % 'PIXSIZE=%d bits\nCPU=decm\nVX=1\nVY=1\nVZ=1\n'],size(vol),btype,bitlen); if(strcmp(type,'unsigned fixed') && pixel==8) dtype='uint8'; elseif(strcmp(type,'unsigned fixed') && pixel==16) dtype='uint16'; elseif(strcmp(type,'float') && pixel==32) dtype='float'; elseif(strcmp(type,'float') && pixel==64) dtype='double'; else error('volume format not supported'); end dat=fread(fid,nx*ny*nz*nv,dtype); fclose(fid); if(nv==1) dat=reshape(dat,[nx,ny,nz]); else dat=reshape(dat,[nx,ny,nz,nv]); end octave-iso2mesh-1.9.6+ds/fast_match_bracket.m0000644001356000007640000000520513724766530020116 0ustar fangqadminfunction [endpos, maxlevel] = fast_match_bracket(key,pos,startpos,brackets) % % [endpos, maxlevel] = fast_match_bracket(key,pos,startpos,brackets) % % A fast function to find the position of a closing bracket token in a string % % authors:Qianqian Fang (q.fang neu.edu) % % input: % key: a preprocessed string containing only relevant opening/closing % bracket characters for accelerating the search. % pos: a 1D integer vector with a length matching the length of key, % recording the corresponding position of each char. in the original string. % startpos: the index in the original string as the start position to search; the % startpos must be at least 1 greater than the opening bracket position % brackets: (optional), a string of length 2, with the first character % being the opening token and the 2nd being the closing token. % if not given, brackets is set to '[]' to find matching square-brackets; % for example, '{}' looks for a matching closing curly-bracket in % the string key(pos(startpos,:end)) % % output: % endpos: if a matching bracket is found, return its position in the original % string % maxlevel: return the depth of the enclosed brackets between the searched pair, % includig the searching pair. For example, the matching closing-bracket % of the 1st square bracket (startpos=2) in '[[[]],[]]' returns a % position of 9, with a maximum depth of 3; searching for the closing % bracket for the 2nd square bracket (startpos=3) returns a position of % 5 and max-depth of 2. % % example: % str='[[ [1,2], 1], 10, [5,10] ]'; % pos=find(str=='[' | str==']') % key=str(pos) % [p1,dep]=fast_match_bracket(key,1:length(key),3) % [p2,dep]=fast_match_bracket(key,pos,2) % [p3,dep]=fast_match_bracket(key,pos,3) % % license: % BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details % % -- this function is part of JSONLab toolbox (http://iso2mesh.sf.net/cgi-bin/index.cgi?jsonlab) % if(nargin<4) brackets='[]'; end startpos=find( pos >= startpos, 1 ); count = key(startpos:end); if(length(count)==1 && count==']') endpos=pos(end); maxlevel=1; return; end count=count(1:min(length(count),8)); flag=cumsum(count==brackets(1))-cumsum(count==brackets(2))+1; endpos = find(flag==0,1); if(isempty(endpos)) count= key(startpos:end); flag=cumsum(count==brackets(1))-cumsum(count==brackets(2))+1; endpos = find(flag==0,1); end maxlevel=max([1,max(flag(1:endpos))]); endpos = pos(endpos + startpos-1); octave-iso2mesh-1.9.6+ds/uniqfaces.m0000644001356000007640000000161513724766530016271 0ustar fangqadminfunction [faces,idx,facemap]=uniqfaces(elem) % % [faces,idx,facemap]=uniqfaces(elem) % % return the unique face list from a or tetrahedral mesh % % author: Qianqian Fang, % % input: % elem: a list of elements, each row is a list of nodes for an element. % elem can have 2, 3 or 4 columns % % output: % face: unique faces in the mesh, denoted by a triplet of node indices % idx: index of the output in the raw face list (returned by meshface) % facemap: index of the raw faces in the output list (for triangular mesh) % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % if(size(elem)==3) faces=elem; elseif(size(elem)>=4) faces=meshface(elem); else error('invalid input'); end [ufaces,idx,jdx]=unique(sort(faces,2),'rows'); faces=faces(idx,:); if(nargout>2) facemap=reshape(jdx,[size(elem,1) nchoosek(size(elem,2),3)]); end octave-iso2mesh-1.9.6+ds/savebinstl.m0000644001356000007640000000312213724766530016460 0ustar fangqadminfunction savebinstl(node,elem,fname,solidname) % % savebinstl(node,elem,fname,solidname) % % save a tetrahedral mesh to a binary STL (Standard Tessellation Language) file % % author: Qianqian Fang, % date: 2012/02/14 % % input: % node: input, surface node list, dimension Nx3 % elem: input, tetrahedral element list; if size(elem,2)==3, it is a surface % fname: output file name % solidname: an optional string for the name of the object % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % fid=fopen(fname,'wb'); if(fid==-1) error('You do not have permission to save mesh files.'); end if(nargin<3) error('incomplete input'); end if(isempty(node) || size(node,2)<3) error('invalid node input'); end hddata=struct('Ver',1,'Creator','iso2mesh','Date',datestr(now)); if(nargin<4) solidname=''; else hddata.name=solidname; end headerstr=savejson('',hddata); headerstr=regexprep(headerstr,'[\t\n\r]',''); headerstr=regexprep(headerstr,'": ','":'); if(length(headerstr)>80) headerstr=headerstr(1:80); % this makes the header an invalid json string else headerstr(81)=0; end fwrite(fid,headerstr(1:80),'char'); if(~isempty(elem)) if(size(elem,2)>=5) elem(:,5:end)=[]; end if(size(elem,2)==4) elem=meshreorient(node,elem); elem=volface(elem); end ev=surfplane(node,elem); ev=ev(:,1:3)./repmat(sqrt(sum(ev(:,1:3).*ev(:,1:3),2)),1,3); len=size(elem,1); fwrite(fid,len,'uint32'); for i=1:len fwrite(fid,[ev(i,:)',node(elem(i,:),1:3)'],'float32'); fwrite(fid,0,'uint16'); end end fclose(fid); octave-iso2mesh-1.9.6+ds/savetetgennode.m0000644001356000007640000000156013724766530017325 0ustar fangqadminfunction savetetgennode(node,fname) % % savetetgennode(node,fname) % % save a mesh node list to tetgen .node format % % author: Qianqian Fang, % % input: % node: node coordinates, dimension (nn,3) % columns beyound the 3rd column are treated as % markers and attributes associated with the node % fname: output file name % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % hasprop=0; attrstr=''; markers=''; fid=fopen(fname,'wt'); if(fid==0) error(['can not write to file ' fname]); end if(size(node,2)>=5) hasprop=size(node,2)-4; attrstr=repmat('%e ',1,hasprop); end if(size(node,2)>=4) markers='%d'; end fprintf(fid,'%d %d %d %d\n',size(node,1),3,hasprop,size(node,2)>=4); fprintf(fid,['%d %e %e %e ' attrstr markers '\n'], [(1:size(node,1))'-1 node]'); fclose(fid); octave-iso2mesh-1.9.6+ds/savemsgpack.m0000644001356000007640000000177313724766530016624 0ustar fangqadminfunction msgpk=savemsgpack(rootname,obj,varargin) % % msgpk=savemsgpack(obj) % or % msgpk=savemsgpack(rootname,obj,filename) % msgpk=savemsgpack(rootname,obj,opt) % msgpk=savemsgpack(rootname,obj,'param1',value1,'param2',value2,...) % % convert a MATLAB object (cell, struct, array, table, map, handles ...) % into a MessagePack binary stream % % author: Qianqian Fang (q.fang neu.edu) % initially created on 2019/05/20 % % This function is the same as calling savebj(...,'MessagePack',1) % % Please type "help savebj" for details for the supported inputs and outputs. % % license: % BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details % % -- this function is part of JSONLab toolbox (http://iso2mesh.sf.net/cgi-bin/index.cgi?jsonlab) % if(nargin==1) msgpk=savebj('',rootname,'MessagePack',1); elseif(length(varargin)==1 && ischar(varargin{1})) msgpk=savebj(rootname,obj,'FileName',varargin{1},'MessagePack',1); else msgpk=savebj(rootname,obj,varargin{:},'MessagePack',1); end octave-iso2mesh-1.9.6+ds/getvarfrom.m0000644001356000007640000000126513724766530016470 0ustar fangqadminfunction p=getvarfrom(ws,name) % % p=getvarfrom(ws,name) % % get variable value by name from specified work-space % % author: Qianqian Fang, % % input: % ws: name of the work-space, for example, 'base' % name: name string of the variable % % output: % p: the value of the specified variable, if the variable does not % exist, return empty array % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % wsname=ws; if(~iscell(ws)) wsname=cell(1); wsname{1}=ws; end p=[]; for i=1:length(wsname) isdefined=evalin(wsname{i},['exist(''' name ''')']); if(isdefined==1) p=evalin(wsname{i},name); break; end end octave-iso2mesh-1.9.6+ds/meshasphere.m0000644001356000007640000000205513724766530016616 0ustar fangqadminfunction [node,face,elem]=meshasphere(c0,r,tsize,maxvol) % % [node,face,elem]=meshasphere(c0,r,tsize,maxvol) % % create the surface and tetrahedral mesh of a sphere % % author: Qianqian Fang, % % input: % c0: center coordinates (x0,y0,z0) of the sphere % r: radius of the sphere % tsize: maximum surface triangle size on the sphere % maxvol: maximu volume of the tetrahedral elements % % output: % node: node coordinates, 3 columns for x, y and z respectively % face: integer array with dimensions of NB x 3, each row represents % a surface mesh face element % elem: integer array with dimensions of NE x 4, each row represents % a tetrahedron % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % if(nargin<3) error('you must at least provide c0, r and tsize'); end if(nargin==3) maxvol=tsize*tsize*tsize; end if(nargout==3) [node,face,elem]=meshunitsphere(tsize/r,maxvol/(r*r*r)); else [node,face]=meshunitsphere(tsize/r); end node=node*r+repmat(c0(:)',size(node,1),1); octave-iso2mesh-1.9.6+ds/isoctavemesh.m0000644001356000007640000000076113724766530017006 0ustar fangqadminfunction [isoctave, verinfo]=isoctavemesh % % [isoctave verinfo]=isoctavemesh % % determine whether the code is running in octave % % author: Qianqian Fang, % % output: % isoctave: 1 if in octave, otherwise 0 % verinfo: a string, showing the version of octave (OCTAVE_VERSION) % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % verinfo=''; isoctave=(exist('OCTAVE_VERSION','builtin')~=0); if(nargout==2 && isoctave) verinfo=OCTAVE_VERSION; end octave-iso2mesh-1.9.6+ds/fillholes3d.m0000644001356000007640000000144713724766530016526 0ustar fangqadminfunction resimg=fillholes3d(img,maxgap) % % resimg=fillholes3d(img,maxgap) % % close a 3D image with the speicified gap size and then fill the holes % % author: Qianqian Fang, % % input: % img: a 3D binary image % maxgap: maximum gap size for image closing % % output: % resimg: the image free of holes % % this function requires the image processing toolbox for matlab/octave % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % if(maxgap) resimg = imclose(img,strel(ones(maxgap,maxgap,maxgap))); else resimg=img; end if(isoctavemesh) if(~exist('bwfill')) error('you need to install octave-image toolbox first'); end for i=1:size(resimg,3) resimg(:,:,i)=bwfill(resimg(:,:,i),'holes'); end else resimg=imfill(resimg,'holes'); end octave-iso2mesh-1.9.6+ds/savetetgenele.m0000644001356000007640000000164413724766530017150 0ustar fangqadminfunction savetetgenele(elem,fname) % % savetetgenele(elem,fname) % % save a mesh tetrahedral element list to tetgen .ele format % % author: Qianqian Fang, % % input: % elem: tetrahedral element list, dimension (ne,4) % columns beyound the 4rd column are treated as % markers and attributes associated with the element % fname: output file name % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % hasprop=0; attrstr=''; markers=''; fid=fopen(fname,'wt'); if(fid==0) error(['can not write to file ' fname]); end if(size(elem,2)>=6) hasprop=size(elem,2)-5; attrstr=repmat('%e ',1,hasprop); end if(size(elem,2)>=5) markers='%d'; end elem(:,1:4)=elem(:,1:4)-1; fprintf(fid,'%d %d %d\n',size(elem,1),4,hasprop+(size(elem,2)>=5)); fprintf(fid,['%d %d %d %d %d ' attrstr markers '\n'], [(1:size(elem,1))'-1 elem]'); fclose(fid); octave-iso2mesh-1.9.6+ds/surfaceclean.m0000644001356000007640000000175413724766530016752 0ustar fangqadminfunction f=surfaceclean(f,v) % % f=surfaceclean(f,v) % % remove surface patches that are located inside % the bounding box faces % % author: Qianqian Fang, % date: 2008/04/08 % % input: % v: surface node list, dimension (nn,3) % f: surface face element list, dimension (be,3) % % output: % f: faces free of those on the bounding box % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % pos=v; mi=min(pos); ma=max(pos); idx0=find(abs(pos(:,1)-mi(1))<1e-6); idx1=find(abs(pos(:,1)-ma(1))<1e-6); idy0=find(abs(pos(:,2)-mi(2))<1e-6); idy1=find(abs(pos(:,2)-ma(2))<1e-6); idz0=find(abs(pos(:,3)-mi(3))<1e-6); idz1=find(abs(pos(:,3)-ma(3))<1e-6); f=removeedgefaces(f,v,idx0); f=removeedgefaces(f,v,idx1); f=removeedgefaces(f,v,idy0); f=removeedgefaces(f,v,idy1); f=removeedgefaces(f,v,idz0); f=removeedgefaces(f,v,idz1); function f=removeedgefaces(f,v,idx1) mask=zeros(length(v),1); mask(idx1)=1; f(find(sum(mask(f)')==3),:)=[]; octave-iso2mesh-1.9.6+ds/polylinelen.m0000644001356000007640000000314013724766530016640 0ustar fangqadminfunction [len, node]=polylinelen(node, p0, p1, pmid) % % [len, node]=polylinelen(node, p0, p1) % % Calculate the polyline line segment length vector in sequential order % % author: Qianqian Fang (q.fang at neu.edu) % % input: % node: an N x 3 array defining each vertex of the polyline in % sequential order % p0:(optional) a given node to define the start of the polyline, if not % defined, start position is assumed to be 1st node % p1:(optional) a given node to define the end of the polyline, if not % defined, end position is assumed to be last node % pmid:(optional) a given node sits between p0 and p1, if not % defined, index of the middle (floored) node is used % % output: % len: the length of each segment between the start and the end points % node: the node list between the start and end points of the polyline % % % -- this function is part of brain2mesh toolbox (http://mcx.space/brain2mesh) % License: GPL v3 or later, see LICENSE.txt for details % if(nargin<3) p1=size(node,1); if(nargin<2) p0=1; end end if(nargin<4) pmid=floor((p0+p1)*0.5); end if(size(p0,2)==3) p0=closestnode(node,p0); end if(size(p1,2)==3) p1=closestnode(node,p1); end if(size(pmid,2)==3) pmid=closestnode(node,pmid); end if(p0pmid && pmid>p1) node=node(p0:-1:p1,:); elseif(p0>pmid && p1>pmid) node=node([max(p0,p1):end 1:min(p0,p1)],:); end len=node(1:end-1,:) - node(2:end,:); len=sqrt(sum(len.*len,2)); octave-iso2mesh-1.9.6+ds/loadnifti.m0000644001356000007640000000112213724766530016255 0ustar fangqadminfunction varargout = loadnifti (varargin) % % jnii=loadnifti(filename) % or % nii=loadnifti(filename,option) % % Read a NIfTI-1/2 (*.nii/.nii.gz) or Analyze 7.5 (*.hdr/*.img/.hdr.gz/.img.gz) % image file. % % author: Qianqian Fang (q.fang neu.edu) % % Please run `help nii2jnii` to see the input output outputs. % This function is an alias to nii2jnii % % % this file is part of JNIfTI specification: https://github.com/fangq/jnifti % % License: Apache 2.0, see https://github.com/fangq/jnifti for details % [varargout{1:nargout}]=nii2jnii(varargin{:});octave-iso2mesh-1.9.6+ds/rotmat2vec.m0000644001356000007640000000151713724766530016402 0ustar fangqadminfunction [R,s]=rotmat2vec(u,v) % % [R,s]=rotmat2vec(u,v) % % the rotation matrix from vector u to v, satisfying R*u*s=v % % author: Bruno Luong % URL:http://www.mathworks.com/matlabcentral/newsreader/view_original/827969 % % input: % u: a 3D vector in the source coordinate system; % v: a 3D vector in the target coordinate system; % % output: % R: a rotation matrix to transform normalized u to normalized v % s: a scaling factor, so that R*u(:)*s=v(:) % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % s=norm(v(:))/norm(u(:)); u1=u(:)/norm(u(:)); v1=v(:)/norm(v(:)); k = cross(u1,v1); if(~any(k)) % u and v are parallel R=eye(3); return; end % Rodrigues's formula: costheta = dot(u1,v1); R =[ 0 -k(3) k(2); k(3) 0 -k(1); -k(2) k(1) 0]; R = costheta*eye(3) + R + k*k'*(1-costheta)/sum(k.^2); octave-iso2mesh-1.9.6+ds/faceneighbors.m0000644001356000007640000000511413724766530017110 0ustar fangqadminfunction facenb=faceneighbors(t,opt) % % facenb=faceneighbors(t,opt) % % to find 4 face-neighboring elements of a tetrahedron % % author: Qianqian Fang, % % input: % t: tetrahedron element list, 4 columns of integers % opt: if opt='surface', return boundary triangle list % (should be the same as the face output from v2m) % if opt='rowmajor', same as 'surface', except the % order of the triangles are in the row-major order %% % otherwise, return the element list for each element: % each row contains 4 numbers, representing the element % indices sharing triangular faces [1 2 3],[1 2 4],[1 3 4] % and [2 3 4] in order, where 1~4 is the node local index. % if the index is 0, indicating the face has no neighbor % (i.e. a boundary face) % % output: % facenb: see opt % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % faces=[t(:,[1,2,3]); t(:,[1,2,4]); t(:,[1,3,4]); t(:,[2,3,4])]; faces=sort(faces,2); [foo,ix,jx]=unique(faces,'rows'); if(isoctavemesh) u=unique(jx); qx=u(hist(jx,u)==2); else vec=histc(jx,1:max(jx)); qx=find(vec==2); end nn=max(t(:)); ne=size(t,1); facenb=zeros(size(t)); % now I need to find all repeatitive elements % that share a face, to do this, unique('first') % will give me the 1st element, and 'last' will % give me the second. There will be no more than 2 % doing this is 60 times faster than doing find(jx==qx(i)) % inside a loop if(isoctavemesh || datenum(version('-date'))>datenum('January 27 2006')) % compare to matlab 7.2 [ujx,ii]=unique(jx,'first'); [ujx,ii2]=unique(jx,'last'); else ujx=unique(jx); [t1,ii2]=ismember(ujx,jx); [t1,ii]=ismember(ujx,flipwd(jx(:))); ii=length(jx)-ii+1; end % iddup is the list of all pairs that share a common face iddup=[ii(qx) ii2(qx)]; faceid=ceil(iddup/ne); eid=mod(iddup,ne); eid(eid==0)=ne; % now rearrange this list into an element format for i=1:length(qx) facenb(eid(i,1),faceid(i,1))=eid(i,2); facenb(eid(i,2),faceid(i,2))=eid(i,1); end % facenb may contain 0s, that just means the corresponding % face is a boundary face and has no neighbor. % if the second option is 'surface', I am going to find % and return surface patches only if(nargin==2) if(strcmp(opt,'surface')) facenb=faces(find(facenb==0),:); elseif(strcmp(opt,'rowmajor')) index=[1:length(faces)]; index=(reshape(index,[],4))'; faces=faces(index(:),:); facenb=faces(find(facenb'==0),:); else error(['supplied option "' opt '" is not supported.']); end end octave-iso2mesh-1.9.6+ds/outersurf.m0000644001356000007640000000160713724766530016352 0ustar fangqadminfunction outface=outersurf(node,face) % % outface=outersurf(node,face) % % extract the out-most shell of a complex surface mesh % % author: Qianqian Fang, % % input: % node: node coordinates % face: surface triangle list % % output: % outface: the out-most shell of the surface mesh % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % face=face(:,1:3); ed=surfedge(face); if(~isempty(ed)) error('open surface is detected, you have to close it first, consider meshcheckrepair() with meshfix option'); end [no,el]=fillsurf(node,face); outface=volface(el); [no,outface]=removeisolatednode(no,outface); maxfacenode=max(outface(:)); [I,J]=ismember(round(no(1:maxfacenode,:)*1e10),round(node*1e10),'rows'); % if(sum(I)~=maxfacenode) % error('mesh tessellation failed'); % end outface=J(outface); [ii,jj]=find(outface==0); outface(ii,:)=[]; octave-iso2mesh-1.9.6+ds/jload.m0000644001356000007640000000717013724766530015406 0ustar fangqadminfunction varargout=jload(filename, varargin) % % jload % or % jload(fname) % varlist=jload(fname) % [varlist, header]=jload(fname) % varlist=jload(fname,'param1',value1,'param2',value2,...) % % Load variables from a JSON or binary JSON file to a workspace % % authors:Qianqian Fang (q.fang neu.edu) % created on 2020/05/31 % % input: % fname: (optional) input file name; if not given, load 'jamdata.jamm' % if fname has a '.json' or '.jdt' suffix, a text-based % JSON/JData file will be expected; if the suffix is '.jamm' or % '.jdb', a Binary JData file will be expected. % opt: (optional) a struct to store parsing options, opt can be replaced by % a list of ('param',value) pairs - the param string is equivallent % to a field in opt. opt can have the following % fields (first in [.|.] is the default) % % ws ['caller'|'base']: the name of the workspace in which the % variables are to be saved % vars [{'var1','var2',...}]: list of variables to be saved % header [0|1]: if set to 1, return the metadata of the variables % stored in the file % matlab [0|1] if set to 1, use matlab's built-in jsondecode to % parse the json file and then decode the output by % jdatadecode; input file must have a suffix of .jdt % % all options for loadubjson/loadjson (depends on file suffix) % can be used to adjust the parsing options % % output: % varlist: a struct with each subfield a variable stored in the file, % if output is ignored, the variables will be loaded to the % workspace specified by the 'ws' option, which by default % load the variables to the current workspace ('caller') % % examples: % jload % load all variables in jamdata.jamm to the 'caller' workspace % jload mydat.jamm % jload('mydat.jamm','vars', {'v1','v2',...}) % load selected variables % varlist=jload('mydat.jamm','simplifycell',1) % % license: % BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details % % -- this function is part of JSONLab toolbox (http://openjdata.org/jsonlab) % if(nargin==0) filename=[pwd filesep 'jamdata.jamm']; end opt=varargin2struct(varargin{:}); ws=jsonopt('ws','caller',opt); loadfun=@loadbj; if(regexp(filename,'\.[jJ][sS][oO][nN]$')) loadfun=@loadjson; elseif(regexp(filename,'\.[jJ][dD][tT]$')) loadfun=@loadjson; elseif(regexp(filename,'\.[mM][sS][gG][pP][kK]$')) loadfun=@loadmsgpack; end if(jsonopt('matlab',0,opt) && exist('jsonencode','builtin')) jsonstr=fileread(filename); pos=regexp(jsonstr,'}\n\n\n{"WorkspaceData":','once'); if(isempty(pos)) error('the json file is not generated using matlab''s jsonencode'); end header=jsondecode(jsonstr(1:pos+1)); else header=loadfun(filename,'ObjectID',1, varargin{:}); end allvar=fieldnames(header.WorkspaceHeader); varlist=jsonopt('vars',allvar,opt); varlist(ismember(varlist,encodevarname('_DataInfo_')))=[]; isfound=ismember(varlist,allvar); if(any(isfound==0)) error('specified variable is not found'); end if(jsonopt('matlab',0,opt) && exist('jsonencode','builtin')) body=jdatadecode(jsondecode(jsonstr(pos+4:end))); else body=loadfun(filename,'ObjectID',2, varargin{:}); end if(nargout==0) for i=1:length(varlist) assignin(ws, varlist{i}, body.WorkspaceData.(varlist{i})); end else varargout{1}=rmfield(body.WorkspaceData,setdiff(fieldnames(body.WorkspaceData),varlist)); if(nargout>1) varargout{2}=header; end end octave-iso2mesh-1.9.6+ds/bwislands.m0000644001356000007640000000131513724766530016276 0ustar fangqadminfunction islands=bwislands(img) % % islands=bwislands(img) % % return the indices of non-zero elements in a 2D or 3D image % grouped by connected regions in a cell array % % author: Qianqian Fang (q.fang at neu.edu) % % input: % img: a 2D or 3D array % output: % islands: a cell array, each cell records the indices % of the non-zero elements in img for a connected % region (or an island) % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % img=logical(1-img); idx=find(1-img(:)); islands={}; count=1; while(length(idx)) [I,J]=ind2sub(size(img),idx(1)); imgnew=imfill(img,[I,J]); islands{count}=find(imgnew~=img); count=count+1; img=imgnew; idx=find(1-img(:)); end octave-iso2mesh-1.9.6+ds/loadmsgpack.m0000644001356000007640000002100113724766530016567 0ustar fangqadminfunction data = loadmsgpack(fname,varargin) % % data = loadmsgpack(fname,varargin) % %LOADMSGPACK parses a msgpack byte buffer into Matlab data structures % LOADMSGPACK(BYTES) % reads BYTES as msgpack data, and creates Matlab data structures % from it. % - strings are converted to strings % - numbers are converted to appropriate numeric values % - true, false are converted to logical 1, 0 % - nil is converted to [] % - arrays are converted to cell arrays % - maps are converted to containers.Map % % (c) 2016 Bastian Bechtold % modified by Qianqian Fang % % license: % BSD 3-clause license or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details % % -- this function is part of JSONLab toolbox (http://iso2mesh.sf.net/cgi-bin/index.cgi?jsonlab) % if(exist(fname,'file')) fid = fopen(fname,'rb'); bytes = fread(fid,inf,'uint8=>char')'; fclose(fid); else bytes=fname; end opt=varargin2struct(varargin{:}); opt.simplifycell=jsonopt('SimplifyCell',1,opt); opt.simplifycellarray=jsonopt('SimplifyCellArray',0,opt); jsoncount=1; idx=0; while idx <= length(bytes) [obj, idx] = parse(uint8(bytes(:)), 1, opt); data{jsoncount}=obj; jsoncount=jsoncount+1; end jsoncount=length(data); if(jsoncount==1 && iscell(data)) data=data{1}; end if(iscell(data)) data=cellfun(@(x) jdatadecode(x),data,'UniformOutput',false); elseif(isstruct(data)) data=jdatadecode(data,'Base64',0, opt); end end function [obj, idx] = parse(bytes, idx, varargin) % masks: b10000000 = 128; b01111111 = 127; b11000000 = 192; b00111111 = 63; b11100000 = 224; b00011111 = 31; b11110000 = 240; b00001111 = 15; % values: b00000000 = 0; b10010000 = 144; b10100000 = 160; currentbyte = bytes(idx); if bitand(b10000000, currentbyte) == b00000000 % decode positive fixint obj = int8(currentbyte); idx = idx + 1; return elseif bitand(b11100000, currentbyte) == b11100000 % decode negative fixint obj = typecast(currentbyte, 'int8'); idx = idx + 1; return elseif bitand(b11110000, currentbyte) == b10000000 % decode fixmap len = double(bitand(b00001111, currentbyte)); [obj, idx] = parsemap(len, bytes, idx+1, varargin{:}); return elseif bitand(b11110000, currentbyte) == b10010000 % decode fixarray len = double(bitand(b00001111, currentbyte)); [obj, idx] = parsearray(len, bytes, idx+1, varargin{:}); return elseif bitand(b11100000, currentbyte) == b10100000 % decode fixstr len = double(bitand(b00011111, currentbyte)); [obj, idx] = parsestring(len, bytes, idx + 1); return end switch currentbyte case 192 % nil obj = []; idx = idx+1; % case 193 % unused case 194 % false obj = false; idx = idx+1; case 195 % true obj = true; idx = idx+1; case 196 % bin8 len = double(bytes(idx+1)); [obj, idx] = parsebytes(len, bytes, idx+2); case 197 % bin16 len = double(bytes2scalar(bytes(idx+1:idx+2), 'uint16')); [obj, idx] = parsebytes(len, bytes, idx+3); case 198 % bin32 len = double(bytes2scalar(bytes(idx+1:idx+4), 'uint32')); [obj, idx] = parsebytes(len, bytes, idx+5); case 199 % ext8 len = double(bytes(idx+1)); [obj, idx] = parseext(len, bytes, idx+1); case 200 % ext16 len = double(bytes2scalar(bytes(idx+1:idx+2), 'uint16')); [obj, idx] = parseext(len, bytes, idx+3); case 201 % ext32 len = double(bytes2scalar(bytes(idx+1:idx+4), 'uint32')); [obj, idx] = parseext(len, bytes, idx+5); case 202 % float32 obj = bytes2scalar(bytes(idx+1:idx+4), 'single'); idx = idx+5; case 203 % float64 obj = bytes2scalar(bytes(idx+1:idx+8), 'double'); idx = idx+9; case 204 % uint8 obj = bytes(idx+1); idx = idx+2; case 205 % uint16 obj = bytes2scalar(bytes(idx+1:idx+2), 'uint16'); idx = idx+3; case 206 % uint32 obj = bytes2scalar(bytes(idx+1:idx+4), 'uint32'); idx = idx+5; case 207 % uint64 obj = bytes2scalar(bytes(idx+1:idx+8), 'uint64'); idx = idx+9; case 208 % int8 obj = bytes2scalar(bytes(idx+1), 'int8'); idx = idx+2; case 209 % int16 obj = bytes2scalar(bytes(idx+1:idx+2), 'int16'); idx = idx+3; case 210 % int32 obj = bytes2scalar(bytes(idx+1:idx+4), 'int32'); idx = idx+5; case 211 % int64 obj = bytes2scalar(bytes(idx+1:idx+8), 'int64'); idx = idx+9; case 212 % fixext1 [obj, idx] = parseext(1, bytes, idx+1); case 213 % fixext2 [obj, idx] = parseext(2, bytes, idx+1); case 214 % fixext4 [obj, idx] = parseext(4, bytes, idx+1); case 215 % fixext8 [obj, idx] = parseext(8, bytes, idx+1); case 216 % fixext16 [obj, idx] = parseext(16, bytes, idx+1); case 217 % str8 len = double(bytes(idx+1)); [obj, idx] = parsestring(len, bytes, idx+2); case 218 % str16 len = double(bytes2scalar(bytes(idx+1:idx+2), 'uint16')); [obj, idx] = parsestring(len, bytes, idx+3); case 219 % str32 len = double(bytes2scalar(bytes(idx+1:idx+4), 'uint32')); [obj, idx] = parsestring(len, bytes, idx+5); case 220 % array16 len = double(bytes2scalar(bytes(idx+1:idx+2), 'uint16')); [obj, idx] = parsearray(len, bytes, idx+3, varargin{:}); case 221 % array32 len = double(bytes2scalar(bytes(idx+1:idx+4), 'uint32')); [obj, idx] = parsearray(len, bytes, idx+5, varargin{:}); case 222 % map16 len = double(bytes2scalar(bytes(idx+1:idx+2), 'uint16')); [obj, idx] = parsemap(len, bytes, idx+3, varargin{:}); case 223 % map32 len = double(bytes2scalar(bytes(idx+1:idx+4), 'uint32')); [obj, idx] = parsemap(len, bytes, idx+5, varargin{:}); otherwise error('JSONLAB:MSGPACK:InvalidFormat', ... ['Unknown type "' dec2bin(currentbyte) '"']); end end function value = bytes2scalar(bytes, type) % reverse byte order to convert from little-endian to big-endian value = typecast(bytes(end:-1:1), type); end function [str, idx] = parsestring(len, bytes, idx) if(~isoctavemesh) str = native2unicode(bytes(idx:idx+len-1)', 'utf-8'); else str = char(bytes(idx:idx+len-1)'); end idx = idx + len; end function [out, idx] = parsebytes(len, bytes, idx) out = bytes(idx:idx+len-1); idx = idx + len; end function [out, idx] = parseext(len, bytes, idx) obj.type = bytes(idx); obj.data = bytes(idx+1:idx+len); idx = idx + len + 1; end function [out, idx] = parsearray(len, bytes, idx, varargin) out = cell(1,len); for n=1:len [out{n}, idx] = parse(bytes, idx, varargin{:}); end if(len==1) out=out{1}; end if(varargin{1}.simplifycell) if(iscell(out) && ~isempty(out) && isnumeric(out{1})) if(all(cellfun(@(e) isequal(size(out{1}), size(e)) , out(2:end)))) try oldobj=out; if(iscell(out) && length(out)>1 && ndims(out{1})>=2) catdim=size(out{1}); catdim=ndims(out{1})-(catdim(end)==1)+1; out=cat(catdim,out{:}); out=permute(out,ndims(out):-1:1); else out=cell2mat(out')'; end if(iscell(oldobj) && isstruct(out) && numel(out)>1 && varargin{1}.simplifycellarray==0) out=oldobj; end catch end end end if(~iscell(out) && size(out,2)>1 && ndims(out)==2) out=out'; end end end function [out, idx] = parsemap(len, bytes, idx, varargin) out = struct(); for n=1:len [key, idx] = parse(bytes, idx, varargin{:}); [out.(encodevarname(char(key))), idx] = parse(bytes, idx, varargin{:}); end end octave-iso2mesh-1.9.6+ds/deislands3d.m0000644001356000007640000000163613724766530016513 0ustar fangqadminfunction cleanimg=deislands3d(img,sizelim) % % cleanimg=deislands3d(img,sizelim) % % remove isolated islands for 3D image (for each slice) % % author: Qianqian Fang, % % input: % img: a 3D volumetric image % sizelim: maximum island size (in pixels) for each x/y/z slice % % output: % cleanimg: 3D image after removing the islands % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % maxisland=-1; if(nargin==2) maxisland=sizelim; end for i=1:size(img,1) if(mod(i,10)==0) fprintf(1,'processing slice x=%d\n',i); end img(i,:,:)=deislands2d(img(i,:,:),maxisland); end for i=1:size(img,2) if(mod(i,10)==0) fprintf(1,'processing slice y=%d\n',i); end img(:,i,:)=deislands2d(img(:,i,:),maxisland); end for i=1:size(img,3) if(mod(i,10)==0) fprintf(1,'processing slice z=%d\n',i); end img(:,:,i)=deislands2d(img(:,:,i),maxisland); end cleanimg=img; octave-iso2mesh-1.9.6+ds/meshcylinders.m0000644001356000007640000000342113724766530017161 0ustar fangqadminfunction [node,face,elem]=meshcylinders(c0, v, len, varargin) % % [node,face]=meshcylinders(c0, v, len, r,tsize,maxvol,ndiv) % or % [node,face,elem]=meshacylinder(c0, v, len, r, tsize,maxvol,ndiv) % [nplc,fplc]=meshacylinder(c0, v, len,r,0,0,ndiv); % % create the surface and (optionally) tetrahedral mesh of a 3D cylinder % % author: Qianqian Fang, % % input: % c0, cylinder list axis's starting point % v: directional vector of the cylinder % len: a scalar or a vector denoting the length of each % cylinder segment along the direction of v % tsize, maxvol, ndiv: please see the help for meshacylinder for details % % output: % node, face, elem: please see the help for meshacylinder for details % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % len=cumsum(len); [ncyl,fcyl]=meshacylinder(c0,c0+v*len(1),varargin{:}); for i=2:length(len) [ncyl1,fcyl1]=meshacylinder(c0+v*len(i-1),c0+v*len(i),varargin{:}); fcyl1=cellfun(@(x) {x{1}+size(ncyl,1),x{2}}, fcyl1, 'UniformOutput', false); ncyl=[ncyl; ncyl1]; if(i==1) fcyl1=fcyl1(1:end-1); else fcyl1={fcyl1{1:end-2},fcyl1{end}}; end fcyl={fcyl{:}, fcyl1{:}}; end [ncyl,I,J]=unique(round(ncyl*1e10),'rows'); ncyl=ncyl*1e-10; fcyl=cellfun(@(x) {J(x{1})',x{2}}, fcyl, 'UniformOutput', false); tsize=varargin{2}; maxvol=varargin{3}; if(nargout==2 && tsize==0.0 && maxvol==0.0) node=ncyl; face=fcyl; return; end if(nargin==3) tsize=len/10; end if(nargin<5) maxvol=tsize*tsize*tsize; end centroid=cumsum([0 len(1:end-1)])+len/2; % define the centroids of each cylinder segment seeds=repmat(c0(:)',length(len),1)+repmat(v(:)',length(len),1).*repmat(centroid(:),1,3); [node,elem,face]=surf2mesh(no,fc,min(no),max(no),1,maxvol,seeds,[],0); octave-iso2mesh-1.9.6+ds/nestbracket2dim.m0000644001356000007640000000454313724766530017377 0ustar fangqadminfunction [dims, maxlevel, count] = nestbracket2dim(str,brackets) % % [dims, maxlevel, count] = nestbracket2dim(str,brackets) % % Extracting the dimension vector of a JSON string formatted array % by analyzing the pairs of opening/closing bracket tokenss; this function % only returns valid dimension information when the array is an N-D array % % authors:Qianqian Fang (q.fang neu.edu) % % input: % str: a string-formatted JSON array using square-brackets for enclosing % elements and comma as separators between elements % brackets: (optional), a string of length 2, with the first character % being the opening token and the 2nd being the closing token. % if not given, brackets is set to '[]' to find matching square-brackets; % for example, '{}' looks for a matching closing curly-bracket in % the string key(pos(startpos,:end)) % % output: % dims: the speculated dimension vector with the length matching the maximum % depth of the embedded bracket pairs. When the input string encodes an % N-D array, the dims vector contains all integers; however, returning % an all-integer dims vector does not mean the array is rectangular. % maxlevel: return the depth of the enclosed brackets in the string, i.e. the % length of the dims vector. % count: the relative depth from the level 0 - scanning from the left % to right of the string, an opening token increases the level by 1 % and a closing token decreases the level by 1; a zero indicates % the positions of a matching bracket of the same level. % % example: % str='[[ [1,2,3], [4,2,1]], [ [10,1,0], [2,5,10]] ]'; % an N-D array % [dim,dep]=nestbracket2dim(str) % str='[[ [1,2,3], [4,2,1]], [ [10,1,0], [2,5]] ]'; % an invalid N-D array % [dim,dep]=nestbracket2dim(str) % license: % BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details % % -- this function is part of JSONLab toolbox (http://iso2mesh.sf.net/cgi-bin/index.cgi?jsonlab) % if(nargin<2) brackets='[]'; end str=str(str==brackets(1) | str==brackets(2) | str==','); count=cumsum(str==brackets(1)) - cumsum(str==brackets(2)); maxlevel=max(count); dims=histc(count,1:maxlevel); dims(1:end-1)=dims(1:end-1)*0.5; dims(2:end)=dims(2:end)./dims(1:end-1); dims=fliplr(dims); octave-iso2mesh-1.9.6+ds/meshresample.m0000644001356000007640000000332013724766530016773 0ustar fangqadminfunction [node,elem]=meshresample(v,f,keepratio) % % [node,elem]=meshresample(v,f,keepratio) % % resample mesh using CGAL mesh simplification utility % % author: Qianqian Fang, % date: 2007/11/12 % % input: % v: list of nodes % f: list of surface elements (each row for each triangle) % keepratio: decimation rate, a number less than 1, as the percentage % of the elements after the sampling % % output: % node: the node coordinates of the sampled surface mesh % elem: the element list of the sampled surface mesh % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % [node,elem]=domeshsimplify(v,f,keepratio); if(length(node)==0) warning(['Your input mesh contains topological defects, and the ',... 'mesh resampling utility aborted during processing. Now iso2mesh ',... 'is trying to repair your mesh with meshcheckrepair. ',... 'You can also call this manually before passing your mesh to meshresample.'] ); [vnew,fnew]=meshcheckrepair(v,f); [node,elem]=domeshsimplify(vnew,fnew,keepratio); end [node,I,J]=unique(node,'rows'); elem=J(elem); saveoff(node,elem,mwpath('post_remesh.off')); end % function to perform the actual resampling function [node,elem]=domeshsimplify(v,f,keepratio) exesuff=getexeext; exesuff=fallbackexeext(exesuff,'cgalsimp2'); saveoff(v,f,mwpath('pre_remesh.off')); deletemeshfile(mwpath('post_remesh.off')); [status, cmdout]=system([' "' mcpath('cgalsimp2') exesuff '" "' mwpath('pre_remesh.off') '" ' num2str(keepratio) ' "' mwpath('post_remesh.off') '"']); if(status~=0) error(sprintf('cgalsimp2 command failed')); end [node,elem]=readoff(mwpath('post_remesh.off')); end octave-iso2mesh-1.9.6+ds/plotsurf.m0000644001356000007640000000772713724766530016203 0ustar fangqadminfunction hm=plotsurf(node,face,varargin) % % hm=plotsurf(node,face,opt) % % plot 3D surface meshes (2d manifold) or polylines (1d manifold) % % author: Qianqian Fang % % input: % node: node coordinates, dimension (nn,3); if node has a % 4th column, it will be used to set the color at each node. % face: triangular surface face list; if face has a 4th column, % it will be used to separate the surface into % sub-surfaces and display them in different colors; % face can be a cell array, each element of the array represents % a polyhedral facet of the mesh, if an element is an array with % two array subelements, the first one is the node index, the % second one is a scalar as the group id of the facet. % opt: additional options for the plotting, see plotmesh % % output: % hm: handle or handles (vector) to the plotted surfaces % % example: % % h=plotsurf(node,face); % h=plotsurf(node,face,'facecolor','r'); % h=plotsurf(node,edges,'linestyle','-','linewidth',2,'color','r'); % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % rngstate = rand ('state'); if(nargin>=2) randseed=hex2dec('623F9A9E'); % "U+623F U+9A9E" if(isoctavemesh) randseed=randseed+3; end if(~isempty(getvarfrom({'caller','base'},'ISO2MESH_RANDSEED'))) randseed=getvarfrom({'caller','base'},'ISO2MESH_RANDSEED'); end rand('state',randseed); if(iscell(face)) sc=sparse(10,3); % face colormap sc(1:10,:)=rand(3,10)'; len=length(face); newsurf=cell(1); % reorganizing each labeled surface into a new cell for i=1:len fc=face{i}; if(iscell(fc) && length(fc)>=2) if(fc{2}+1>10) sc(fc{2}+1,:)=rand(1,3); end if(fc{2}+1>length(newsurf)) newsurf{fc{2}+1}={}; end newsurf{fc{2}+1}{end+1}=fc{1}; else % unlabeled facet is tagged by 0 if(iscell(fc)) newsurf{1}{end+1}=cell2mat(fc); else newsurf{1}{end+1}=fc; end end end hold on; h=[]; newlen=length(newsurf); for i=1:newlen if(isempty(newsurf{i})); continue; end try subface=cell2mat(newsurf{i}')'; if(size(subface,1)>1 && ismatrix(subface)) subface=subface'; end h=[h patch('Vertices',node,'Faces',subface,'facecolor',sc(i,:),varargin{:})]; catch for j=1:length(newsurf{i}) h=[h patch('Vertices',node,'Faces',newsurf{i}{j},'facecolor',sc(i,:),varargin{:})]; end end end else if(size(face,2)==4) tag=face(:,4); types=unique(tag); hold on; h=[]; for i=1:length(types) if(size(node,2)==3) h=[h plotasurf(node,face(tag==types(i),1:3),'facecolor',rand(3,1),varargin{:})]; else h=[h plotasurf(node,face(tag==types(i),1:3),varargin{:})]; end end else h=plotasurf(node,face,varargin{:}); end end end if(~isempty(h)) axis equal; if(all(get(gca,'view')==[0 90])) view(3); end end if(~isempty(h) && nargout>=1) hm=h; end rand ('state',rngstate); %------------------------------------------------------------------------- function hh=plotasurf(node,face,varargin) isoct=isoctavemesh; if(size(face,2)<=2) h=plotedges(node,face,varargin{:}); else if(size(node,2)==4) if(isoct && ~exist('trisurf','file')) h=trimesh(face(:,1:3),node(:,1),node(:,2),node(:,3),node(:,4),'edgecolor','k',varargin{:}); else h=trisurf(face(:,1:3),node(:,1),node(:,2),node(:,3),node(:,4),varargin{:}); end else if(isoct && ~exist('trisurf','file')) h=trimesh(face(:,1:3),node(:,1),node(:,2),node(:,3),'edgecolor','k',varargin{:}); else h=trisurf(face(:,1:3),node(:,1),node(:,2),node(:,3),varargin{:}); end end end if(exist('h','var')) hh=h; end octave-iso2mesh-1.9.6+ds/barydualmesh.m0000644001356000007640000000317213724766530016773 0ustar fangqadminfunction [newnode,newelem]=barydualmesh(node,elem,flag) % % [newnode,newelem]=barydualmesh(node,elem) % % generate barycentric dual-mesh by connecting edge, face and elem centers % % author: Qianqian Fang, % % input: % node: list of input mesh nodes % elem: list of input mesh elements (each row are indices of nodes of each element) % flag: if is 'cell', output newelem as cell arrays (each has 1x4 nodes) % % output: % newnode: all new nodes in the barycentric dual-mesh (made of edge/face/elem centers) % newelem: the indices of the face nodes for each original tet element % % example: % [node,elem]=meshgrid6([0 60],[0 60],[0 60]); % [newnode,newelem]=barydualmesh(node,elem,'cell'); % plotmesh(newnode,newelem); % hold on; plotmesh(node,[],elem,'facecolor','none','edgecolor','b') % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % [enodes,eidx]=highordertet(node,elem); % compute edge-centers [fnodes,fidx]=elemfacecenter(node,elem); % compute face-centers c0=meshcentroid(node,elem(:,1:min(size(elem,2),4))); % compute elem-centers % concatenated new nodes and their indices newnode=[enodes;fnodes;c0]; newidx=[eidx, fidx+size(enodes,1), (1:size(elem,1))'+(size(enodes,1)+size(fnodes,1))]; newelem=[ 1 8 11 7 2 7 11 9 3 9 11 8 4 7 11 10 5 8 11 10 6 9 11 10 ]; newelem=newelem'; newelem=newidx(:,newelem(:)); newelem=reshape(newelem,[size(elem,1) 4 6]); newelem=permute(newelem,[1 3 2]); newelem=reshape(newelem,[size(elem,1)*6 4]); if(nargin>2 && ischar(flag) && strcmp(flag,'cell')) newelem=num2cell(newelem,2); end octave-iso2mesh-1.9.6+ds/base64decode.m0000644001356000007640000000254713724766530016550 0ustar fangqadminfunction output = base64decode(varargin) % % output = base64decode(input) % % Decoding a Base64-encoded byte-stream to recover the original data % This function depends on JVM in MATLAB or, can optionally use the ZMat % toolbox (http://github.com/fangq/zmat) % % Copyright (c) 2012, Kota Yamaguchi % URL: https://www.mathworks.com/matlabcentral/fileexchange/39526-byte-encoding-utilities % % Modified by: Qianqian Fang (q.fang neu.edu) % % input: % input: a base64-encoded string % % output: % output: the decoded binary byte-stream as a uint8 vector % % examples: % bytes=base64encode('Test JSONLab'); % orig=char(base64decode(bytes)) % % license: % BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details % % -- this function is part of JSONLab toolbox (http://iso2mesh.sf.net/cgi-bin/index.cgi?jsonlab) % if(nargin==0) error('you must provide at least 1 input'); end if(exist('zmat','file')==2 || exist('zmat','file')==3) output=zmat(varargin{1},0,'base64'); return; elseif(isoctavemesh) error('You must install the ZMat toolbox (http://github.com/fangq/zmat) to use this function in Octave'); end error(javachk('jvm')); if(ischar(varargin{1})) varargin{1}=uint8(varargin{1}); end input=typecast(varargin{1}(:)','uint8'); output = typecast(org.apache.commons.codec.binary.Base64.decodeBase64(input), 'uint8')'; octave-iso2mesh-1.9.6+ds/match_bracket.m0000644001356000007640000000367313724766530017110 0ustar fangqadminfunction [endpos, maxlevel] = match_bracket(str,startpos,brackets) % % [endpos, maxlevel] = match_bracket(str,startpos,brackets) % % Looking for the position of a closing bracket token in a string % % authors:Qianqian Fang (q.fang neu.edu) % % input: % str: the full string to be searched % startpos: the index in the string as the start position to search; the % startpos must be at least 1 greater than the opening bracket position % brackets: (optional), a string of length 2, with the first character % being the opening token and the 2nd being the closing token. % if not given, brackets is set to '[]' to find matching square-brackets; % for example, '{}' looks for a matching closing curly-bracket in % the string key(pos(startpos,:end)) % % output: % endpos: if a matching bracket is found, return its position in the original % string % maxlevel: return the depth of the enclosed brackets between the searched pair, % includig the searching pair. For example, the matching closing-bracket % of the 1st square bracket (startpos=2) in '[[[]],[]]' returns a % position of 9, with a maximum depth of 3; searching for the closing % bracket for the 2nd square bracket (startpos=3) returns a position of % 5 and max-depth of 2. % % example: % str='[[ [1,2], 1], 10, [5,10] ]'; % [p1,dep]=match_bracket(str,3) % [p2,dep]=match_bracket(str,2) % [p3,dep]=match_bracket(str,3) % % license: % BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details % % -- this function is part of JSONLab toolbox (http://iso2mesh.sf.net/cgi-bin/index.cgi?jsonlab) % if(nargin<3) brackets='[]'; end count = str(startpos:end); flag=cumsum(count==brackets(1))-cumsum(count==brackets(2))+1; endpos = find(flag==0,1); maxlevel=max(flag(1:endpos)); endpos = endpos + startpos-1; octave-iso2mesh-1.9.6+ds/jsonopt.m0000644001356000007640000000163413724766530016010 0ustar fangqadminfunction val=jsonopt(key,default,varargin) % % val=jsonopt(key,default,optstruct) % % setting options based on a struct. The struct can be produced % by varargin2struct from a list of 'param','value' pairs % % authors:Qianqian Fang (q.fang neu.edu) % % input: % key: a string with which one look up a value from a struct % default: if the key does not exist, return default % optstruct: a struct where each sub-field is a key % % output: % val: if key exists, val=optstruct.key; otherwise val=default % % license: % BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details % % -- this function is part of JSONLab toolbox (http://iso2mesh.sf.net/cgi-bin/index.cgi?jsonlab) % val=default; if(nargin<=2) return; end key0=lower(key); opt=varargin{1}; if(isstruct(opt)) if(isfield(opt,key0)) val=opt.(key0); elseif(isfield(opt,key)) val=opt.(key); end end octave-iso2mesh-1.9.6+ds/vol2mesh.m0000644001356000007640000000605613724766530016056 0ustar fangqadminfunction [node,elem,face,regions]=vol2mesh(img,ix,iy,iz,opt,maxvol,dofix,method,isovalues) % % [node,elem,face,regions]=vol2mesh(img,ix,iy,iz,opt,maxvol,dofix,method,isovalues) % % convert a binary (or multi-valued) volume to tetrahedral mesh % % author: Qianqian Fang (q.fang at neu.edu) % % input: % img: a volumetric binary image % ix,iy,iz: subvolume selection indices in x,y,z directions % opt: as defined in vol2surf.m % maxvol: target maximum tetrahedral elem volume % when method='cgalmesh', maxvol can specify the target % for each label (subregion index) by the following syntax % 'label1=size1:label2=size2:...' % dofix: 1: perform mesh validation&repair, 0: skip repairing % method: 'cgalsurf' or omit: use CGAL surface mesher % 'simplify': use binsurface and then simplify % 'cgalmesh': use CGAL 3.5 3D mesher for direct mesh generation [new] % % generally speaking, 'cgalmesh' is the most robust path % if you want to product meshes from binary or multi-region % volumes, however, its limitations include 1) only accept % uint8 volume, and 2) can not extract meshes from gray-scale % volumes. If ones goal is to process a gray-scale volume, % he/she should use the 'cgalsurf' option. 'simplify' approach % is not recommended unless other options has failed. % isovalues: a list of isovalues where the levelset is defined % % output: % node: output, node coordinates of the tetrahedral mesh % elem: output, element list of the tetrahedral mesh, the last % column is the region ID % face: output, mesh surface element list of the tetrahedral mesh % the last column denotes the boundary ID % region: optional output. if opt.autoregion is set to 1, region % saves the interior points for each closed surface component % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % if(nargin>=8) if(strcmp(method,'cgalmesh')) vol=img(ix,iy,iz); if(length(unique(vol(:)))>64 && dofix==1) error([ 'it appears that you are processing a ' ... 'grayscale image. Currently cgalmesher ' ... 'does not support grayscale images. ' ... 'Please use "cgalsurf" method to mesh a grayscale ' ... 'volume. If you are certain to run cgalmesher ' ... 'on your data, please set dofix=0 and run this again.' ]); end [node elem,face]=cgalv2m(vol,opt,maxvol); return; end end %first, convert the binary volume into isosurfaces if(nargin==8) [no,el,regions,holes]=vol2surf(img,ix,iy,iz,opt,dofix,method); elseif(nargin==9) [no,el,regions,holes]=vol2surf(img,ix,iy,iz,opt,dofix,method,isovalues); else [no,el,regions,holes]=vol2surf(img,ix,iy,iz,opt,dofix,'cgalsurf'); end %then, create volumetric mesh from the surface mesh if(nargin>=8) if(strcmp(method,'cgalpoly')) [node,elem,face]=cgals2m(no(:,1:3),el(:,1:3),opt,maxvol); return; end end [node,elem,face]=surf2mesh(no,el,[],[],1,maxvol,regions,holes); octave-iso2mesh-1.9.6+ds/savejnii.m0000644001356000007640000000331513724766530016122 0ustar fangqadminfunction savejnii(jnii, filename, varargin) % % savejnii(jniidata, jniifile) % or % savejnii(jniidata, jniifile, 'Param1',value1, 'Param2',value2,...) % % Save an in-memory JNIfTI structure into a text-JNIfTI file with format % defined in JNIfTI specification: https://github.com/fangq/jnifti % % author: Qianqian Fang (q.fang neu.edu) % % input: % jnii: a structure (array) or cell (array). The data structure can % be completely generic or auxilary data without any JNIfTI % constructs. However, if a JNIfTI object is included, it shall % contain the below subfields (can appear within any depth of the % structure) % jnii.NIFTIHeader - a structure containing the 1-to-1 mapped NIFTI-1/2 header % jnii.NIFTIData - the main image data array % jnii.NIFTIExtension - a cell array contaiing the extension data buffers % filename: the output file name to the text-JNIfTI file (.jnii) % options: (optional) if saving to .jnii, please see the % supported options for savejson.m (part of JSONLab). % % example: % jnii=jnifticreate(uint8(magic(10)),'Name','10x10 magic matrix'); % savejnii(jnii, 'magic10.jnii') % savejnii(jnii, 'magic10_compact.jnii','Compact',1) % % this file is part of JNIfTI specification: https://github.com/fangq/jnifti % % License: Apache 2.0, see https://github.com/fangq/jnifti for details % if(nargin<2) error('you must provide data and output file name'); end if(~exist('savejson','file')) error('you must first install JSONLab from http://github.com/fangq/jsonlab/'); end savejson('',jnii,'FileName',filename,varargin{:});octave-iso2mesh-1.9.6+ds/removedupnodes.m0000644001356000007640000000141613724766530017351 0ustar fangqadminfunction [newnode,newelem]=removedupnodes(node,elem,tol) % % [newnode,newelem]=removedupnodes(node,elem) % % removing the duplicated nodes from a mesh % % author: Qianqian Fang % % input: % elem: integer array with dimensions of NE x 4, each row contains % the indices of all the nodes for each tetrahedron % node: node coordinates, 3 columns for x, y and z respectively % % output: % newnode: nodes without duplicates % newelem: elements with only the unique nodes % % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % if(nargin>=3 && tol~=0) node=round(node/tol)*tol; end [newnode,I,J]=unique(node,'rows'); if(iscell(elem)) newelem=cellfun(@(x) J(x)', elem,'UniformOutput',false); else newelem=J(elem); end octave-iso2mesh-1.9.6+ds/gzipdecode.m0000644001356000007640000000436213724766530016432 0ustar fangqadminfunction varargout = gzipdecode(varargin) % % output = gzipdecode(input) % or % output = gzipdecode(input,info) % % Decompressing a GZIP-compressed byte-stream to recover the original data % This function depends on JVM in MATLAB or, can optionally use the ZMat % toolbox (http://github.com/fangq/zmat) % % Copyright (c) 2012, Kota Yamaguchi % URL: https://www.mathworks.com/matlabcentral/fileexchange/39526-byte-encoding-utilities % % Modified by: Qianqian Fang (q.fang neu.edu) % % input: % input: a string, int8/uint8 vector or numerical array to store the GZIP-compressed data % info (optional): a struct produced by the zmat/lz4hcencode function during % compression; if not given, the inputs/outputs will be treated as a % 1-D vector % % output: % output: the decompressed byte stream stored in a uint8 vector; if info is % given, output will restore the original data's type and dimensions % % examples: % [bytes, info]=gzipencode(eye(10)); % orig=gzipdecode(bytes,info); % % license: % BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details % % -- this function is part of JSONLab toolbox (http://iso2mesh.sf.net/cgi-bin/index.cgi?jsonlab) % if(nargin==0) error('you must provide at least 1 input'); end if(exist('zmat','file')==2 || exist('zmat','file')==3) if(nargin>1) [varargout{1:nargout}]=zmat(varargin{1},varargin{2:end}); else [varargout{1:nargout}]=zmat(varargin{1},0,'gzip',varargin{2:end}); end return; elseif(isoctavemesh) error('You must install the ZMat toolbox (http://github.com/fangq/zmat) to use this function in Octave'); end error(javachk('jvm')); if(ischar(varargin{1})) varargin{1}=uint8(varargin{1}); end input=typecast(varargin{1}(:)','uint8'); gzip = java.util.zip.GZIPInputStream(java.io.ByteArrayInputStream(input)); buffer = java.io.ByteArrayOutputStream(); org.apache.commons.io.IOUtils.copy(gzip, buffer); gzip.close(); if(nargout>0) varargout{1} = typecast(buffer.toByteArray(), 'uint8')'; if(nargin>1 && isstruct(varargin{2}) && isfield(varargin{2},'type')) inputinfo=varargin{2}; varargout{1}=typecast(varargout{1},inputinfo.type); varargout{1}=reshape(varargout{1},inputinfo.size); end end octave-iso2mesh-1.9.6+ds/metchgui.fig0000644001356000007640000001620613724766530016433 0ustar fangqadminMATLAB 5.0 MAT-file, Platform: GLNX86, Created on: Wed Dec 17 14:47:41 2008 IMxYkFIBzhRHBMwIM\JhmҸصQ3Hu4rz_ \z챐\!LSBpJrhgja=͛y{}q>ί )Į]ҵri)h)~d:/ؔ؈2hPdqc#Ck_ȏ|c /&\ǺCNt*p}@5ha|q 1&C6ЗDb1!:YV86TbbY4uYG\ ߱s +TTSԢ]@N='%:60knEY`(۶U(H+8 /vC U{?SYE& ;̃l$a~xTJcS2 t$M.H%"IL3,FjS =,?W8888Kv}$ų@2 ]FNѱR/JNj.N -훢mbÞ?䩖?niqGldKH8z'"vW7H#1狕O 傉MEvҕ$ 9=K(y+<'8;+OlT{z̸uRdʓ`yM~ˊɇJ|ו߯𿹞fu8H!0P66Jvc#{6гb:[nDYOox-]5l5lKxBqC:A@TU5FTT+41Y8-GՓJu}NL WPCSmg Du?UՆɪ/fV#AՑz-hLjg_wv]ˑ૊b%S/-wn%Ep[g?qyq 8WOS y| 6>{ye(]#{@QT-N4YIgqPrP.[^nW]iWM{ao\ToAcbEA[y8HGcʋPέeF:y8 G[#ǥ]vdt空I`-uC:HSzN K9?sH(w ӶN-h;t}?GA9z.2{9h: ޤB>vlD(wg .ŸaD}3Tǿ='G3#KyQZ( e;p4!#]4eQ֦toxBWM~ot(yB Fe"3BUJ!tq1O-#1i]ѰH|6BݒRjܻ̈f( EYīnuZe5MۇHC]#6V@f5 |p=īX>UDcoYVd&ɉ7#_.fR 7.gdf2teYo@> P#Ă6MZRVt:Ή˝9[R 01v@bbğDt`]4ũS$+y_{'2u@(SyȈ긧:rEaN%ּb}N e+.xv6X91lݺ׽$}׸>~ '7xY2!R}8x y?Y%}/QG)yNmv'5ӭ(W[bDo1Ù4)>Y)muL|ZylPey@:uḲ`` :U [ ǴDǚjKl%jhle#ccIx}%6vz; 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opt=struct; if(len==0) return; end i=1; while(i<=len) if(isstruct(varargin{i})) opt=mergestruct(opt,varargin{i}); elseif(ischar(varargin{i}) && i neu.edu) % % input: % input: the original data, can be a string, a numerical vector or array % % output: % output: the compressed byte stream stored in a uint8 vector % info: (optional) a struct storing the metadata of the input, see "help zmat" for details % % examples: % [bytes, info]=lz4encode(eye(10)); % orig=lz4decode(bytes,info); % % license: % BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details % % -- this function is part of JSONLab toolbox (http://iso2mesh.sf.net/cgi-bin/index.cgi?jsonlab) % if(nargin==0) error('you must provide at least 1 input'); end if(exist('zmat','file')==2 || exist('zmat','file')==3) [varargout{1:nargout}]=zmat(varargin{1}, 1,'lz4',varargin{2:end}); return; else error('you must install ZMat toolbox to use this feature: http://github.com/fangq/zmat') end octave-iso2mesh-1.9.6+ds/readmptiff.m0000644001356000007640000000075213724766530016435 0ustar fangqadminfunction dat=readmptiff(fname) % % vol=readmptiff(fname) % % load a volume from a multi-page TIFF file % % author: Qianqian Fang, % % input: % fname: input file name % % output: % dat: output, data read from the TIFF file % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % info = imfinfo(fname); nslice = length(info); if(nslice<=0) error('no data found in the tiff'); end for i = 1:nslice dat(:,:,i) = imread(fname, i); end octave-iso2mesh-1.9.6+ds/cgalv2m.m0000644001356000007640000000700613724766530015646 0ustar fangqadminfunction [node,elem,face]=cgalv2m(vol,opt,maxvol) % % [node,elem,face]=cgalv2m(vol,opt,maxvol) % % wrapper for CGAL 3D mesher (CGAL 3.5 or up) % convert a binary (or multi-valued) volume to tetrahedral mesh % % http://www.cgal.org/Manual/3.5/doc_html/cgal_manual/Mesh_3/Chapter_main.html % % author: Qianqian Fang (q.fang at neu.edu) % % input: % vol: a volumetric binary image % ix,iy,iz: subvolume selection indices in x,y,z directions % opt: parameters for CGAL mesher, if opt is a structure, then % opt.radbound: defines the maximum surface element size % opt.angbound: defines the miminum angle of a surface triangle % opt.distbound: defines the maximum distance between the % center of the surface bounding circle and center of the % element bounding sphere % opt.reratio: maximum radius-edge ratio % if opt is a scalar, it only specifies radbound. % maxvol: target maximum tetrahedral elem volume % % output: % node: output, node coordinates of the tetrahedral mesh % elem: output, element list of the tetrahedral mesh, the last % column is the region id % face: output, mesh surface element list of the tetrahedral mesh % the last column denotes the boundary ID % note: each triangle will appear twice in the face list with each % one attaches to each side of the interface. one can remove % the redundant triangles by unique(face(:,1:3),'rows') % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % fprintf(1,'creating surface and tetrahedral mesh from a multi-domain volume ...\n'); dtype=class(vol); if(~(islogical(vol) || strcmp(dtype,'uint8'))) error('cgalmesher can only handle uint8 volumes, you have to convert your image to unit8 first.'); end if(~any(vol)) error('no labeled regions found in the input volume.'); end exesuff=getexeext; exesuff=fallbackexeext(exesuff,'cgalmesh'); ang=30; ssize=6; approx=0.5; reratio=3; if(~isstruct(opt)) ssize=opt; end if(isstruct(opt) && length(opt)==1) % does not support settings for multiple labels if(isfield(opt,'radbound')) ssize=opt.radbound; end if(isfield(opt,'angbound')) ang=opt.angbound; end if(isfield(opt,'distbound')) approx=opt.distbound; end if(isfield(opt,'reratio')) reratio=opt.reratio; end end saveinr(vol,mwpath('pre_cgalmesh.inr')); deletemeshfile(mwpath('post_cgalmesh.mesh')); randseed=hex2dec('623F9A9E'); % "U+623F U+9A9E" if(~isempty(getvarfrom('base','ISO2MESH_RANDSEED'))) randseed=getvarfrom('base','ISO2MESH_RANDSEED'); end if(ischar(maxvol)) format_maxvol='%s'; else format_maxvol='%f'; end cmd=sprintf(['"%s%s" "%s" "%s" %f %f %f %f ' format_maxvol ' %d'],mcpath('cgalmesh'),exesuff,... mwpath('pre_cgalmesh.inr'),mwpath('post_cgalmesh.mesh'),ang,ssize,... approx,reratio,maxvol,randseed); system(cmd); if(~exist(mwpath('post_cgalmesh.mesh'),'file')) error(['output file was not found, failure was encountered when running command: \n',cmd]); end [node,elem,face]=readmedit(mwpath('post_cgalmesh.mesh')); % if a transformation matrix/offset vector supplied, apply them if (isstruct(opt) && length(opt)==1) if(isfield(opt,'A') && isfield(opt,'B')) node(:,1:3)=(opt.A*node(:,1:3)'+repmat(opt.B(:),1,size(node,1)))'; end end fprintf(1,'node number:\t%d\ntriangles:\t%d\ntetrahedra:\t%d\nregions:\t%d\n',... size(node,1),size(face,1),size(elem,1),length(unique(elem(:,end)))); fprintf(1,'surface and volume meshes complete\n'); if(size(node,1)>0) [node,elem,face]=sortmesh(node(1,:),node,elem,1:4,face,1:3); end node=node+0.5; octave-iso2mesh-1.9.6+ds/AUTHORS.txt0000644001356000007640000000137613724766530016027 0ustar fangqadminThe author of "Iso2Mesh" toolbox is Qianqian Fang. Qianqian is currently an Associate Professor at the Department of Bioengineering of Northeastern University. Address: Dept. of Bioengineering Northeastern University 360 Huntington Ave, Boston, MA 02115 URL: http://fanglab.org/ Email: or Other people had also contributed to this toolbox, they include - Aslak Grinsted - Hang Si - Pierre Alliez - Laurent Rineau - Donghyeon Kim - Blake Johnson - Niclas Borlin - Peter Varga octave-iso2mesh-1.9.6+ds/m2v.m0000644001356000007640000000063613724766530015021 0ustar fangqadminfunction varargout=m2v(varargin) % % vol=m2v(node,face,Nxyz) % or % vol=m2v(node,face,xi,yi,zi) % % shortcut for mesh2vol, rasterizing a teterahedral mesh to a volume using graphics % % author: Qianqian Fang (q.fang at neu.edu) % % input/output: please see details in the help for mesh2vol % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % [varargout{1:nargout}]=mesh2vol(varargin{:}); octave-iso2mesh-1.9.6+ds/polylinesimplify.m0000644001356000007640000000314713724766530017725 0ustar fangqadminfunction [newnodes, len]=polylinesimplify(nodes, minangle) % % [newnodes, len]=polylinesimplify(nodes, minangle) % % Calculate a simplified polyline by removing nodes where two adjacent % segment have an angle less than a specified limit % % author: Qianqian Fang (q.fang at neu.edu) % % input: % node: an N x 3 array defining each vertex of the polyline in % sequential order % minangle:(optional) minimum segment angle in radian, if not given, use % 0.75*pi % % output: % newnodes: the updated node list; start/end will not be removed % len: the length of each segment between the start and the end points % % % -- this function is part of brain2mesh toolbox (http://mcx.space/brain2mesh) % License: GPL v3 or later, see LICENSE.txt for details % if(nargin<2) minangle=0.75*pi; end v=segvec(nodes(1:end-1,:), nodes(2:end,:)); ang=acos(max(min(sum(-v(1:end-1,:).*(v(2:end,:)),2),1),-1)); newnodes=nodes; newv=v; newang=ang; idx=find(newang1); newang(idx0-1)=acos(sum(-newv(idx0-1,:).*(newv(idx0,:)),2)); idx=find(newang1) len=newnodes(1:end-1,:) - newnodes(2:end,:); len=sqrt(sum(len.*len,2)); end function v=segvec(n1, n2) v=n2-n1; normals=sqrt(sum(v.*v,2)); v=v./repmat(normals,1,size(v,2));octave-iso2mesh-1.9.6+ds/fallbackexeext.m0000644001356000007640000000273113724766530017275 0ustar fangqadminfunction exesuff=fallbackexeext(exesuffix, exename) % % exesuff=fallbackexeext(exesuffix, exename) % % get the fallback external tool extension names for the current platform % % author: Qianqian Fang, % % input: % exesuffix: the output executable suffix from getexeext % exename: the executable name % % output: % exesuff: file extension for iso2mesh tool binaries % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % exesuff=exesuffix; if(strcmp(exesuff,'.mexa64') && exist([mcpath(exename) exesuff],'file')==0) % fall back to i386 linux exesuff='.mexglx'; end if(strcmp(exesuff,'.mexmaci64') && exist([mcpath(exename) exesuff],'file')==0) % fall back to i386 mac exesuff='.mexmaci'; end if(strcmp(exesuff,'.mexmaci') && exist([mcpath(exename) exesuff],'file')==0) % fall back to ppc mac exesuff='.mexmac'; end if(exist([mcpath(exename) exesuff],'file')==0) % fall back to OS native package exesuff=''; end if(exist([mcpath(exename) exesuff],'file')==0) if(system(['which ' exename])==0) return; end error([ 'The following executable:\n' ... '\t%s%s\n' ... 'is missing. Please download it from ' ... 'https://github.com/fangq/iso2mesh/tree/master/bin/ ' ... 'and save it to the above path, then rerun the script.\n' ... ],mcpath(exename),getexeext); end octave-iso2mesh-1.9.6+ds/fillsurf.m0000644001356000007640000000067713724766530016150 0ustar fangqadminfunction [no,el]=fillsurf(node,face) % % [no,el]=fillsurf(node,face) % % calculate the enclosed volume for a closed surface % % author: Qianqian Fang, % % input: % node: node coordinates % face: surface triangle list % % output: % vol: total volume of the enclosed space % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % ISO2MESH_TETGENOPT='-YY'; [no,el]=surf2mesh(node,face,[],[],1,1); octave-iso2mesh-1.9.6+ds/meshgrid6.m0000644001356000007640000000375213724766530016207 0ustar fangqadminfunction [node,elem]=meshgrid6(varargin) % % [node,elem]=meshgrid6(v1,v2,v3,...) % % mesh an ND rectangular lattice by splitting % each hypercube into 6 tetrahedra % % author: John D'Errico % URL: http://www.mathworks.com/matlabcentral/newsreader/view_thread/107191 % modified by Qianqian Fang (q.fang at neu.edu) % % input: % v1,v2,v3,... - numeric vectors defining the lattice in % each dimension. % Each vector must be of length >= 1 % % output: % node - factorial lattice created from (v1,v2,v3,...) % Each row of this array is one node in the lattice % elem - integer array defining simplexes as references to % rows of "node". % % example: % [node,elem]=meshgrid6(0:5,0:6,0:4); % plotmesh(node,elem); % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % % dimension of the lattice n = length(varargin); % create a single n-d hypercube % list of node of the cube itself vhc=('1'==dec2bin(0:(2^n-1))); % permutations of the integers 1:n p=perms(1:n); nt=factorial(n); thc=zeros(nt,n+1); for i=1:nt thc(i,:)=find(all(diff(vhc(:,p(i,:)),[],2)>=0,2))'; end % build the complete lattice nodecount = cellfun('length',varargin); if any(nodecount<2) error 'Each dimension must be of size 2 or more.' end node = lattice(varargin{:}); % unrolled index into each hyper-rectangle in the lattice ind = cell(1,n); for i=1:n ind{i} = 0:(nodecount(i)-2); end ind = lattice(ind{:}); k = cumprod([1,nodecount(1:(end-1))]); ind = 1+ind*k'; nind = length(ind); offset=vhc*k'; elem=zeros(nt*nind,n+1); L=(1:nind)'; for i=1:nt elem(L,:)=repmat(ind,1,n+1)+repmat(offset(thc(i,:))',nind,1); L=L+nind; end % ======== subfunction ======== function g = lattice(varargin) % generate a factorial lattice in n variables n=nargin; sizes = cellfun('length',varargin); c=cell(1,n); [c{1:n}]=ndgrid(varargin{:}); g=zeros(prod(sizes),n); for i=1:n g(:,i)=c{i}(:); end octave-iso2mesh-1.9.6+ds/savebnii.m0000644001356000007640000000332313724766530016111 0ustar fangqadminfunction savebnii(jnii, filename, varargin) % % savebnii(jniidata, bniifile) % or % savebnii(jniidata, bniifile, 'Param1',value1, 'Param2',value2,...) % % Save an in-memory JNIfTI structure into a binary-JNIfTI file with format % defined in JNIfTI specification: https://github.com/fangq/jnifti % % author: Qianqian Fang (q.fang neu.edu) % % input: % jnii: a structure (array) or cell (array). The data structure can % be completely generic or auxilary data without any JNIfTI % constructs. However, if a JNIfTI object is included, it shall % contain the below subfields (can appear within any depth of the % structure) % jnii.NIFTIHeader - a structure containing the 1-to-1 mapped NIFTI-1/2 header % jnii.NIFTIData - the main image data array % jnii.NIFTIExtension - a cell array contaiing the extension data buffers % filename: the output file name to the binary-JNIfTI file (.bnii) % options: (optional) if saving to .bnii, please see the % supported options for saveubjson.m (part of JSONLab). % % example: % jnii=jnifticreate(uint8(magic(10)),'Name','10x10 magic matrix'); % savebnii(jnii, 'magic10.bnii') % savebnii(jnii, 'magic10_debug.bnii','Debug',1) % % this file is part of JNIfTI specification: https://github.com/fangq/jnifti % % License: Apache 2.0, see https://github.com/fangq/jnifti for details % if(nargin<2) error('you must provide data and output file name'); end if(~exist('saveubjson','file')) error('you must first install JSONLab from http://github.com/fangq/jsonlab/'); end saveubjson('',jnii,'FileName',filename,varargin{:});octave-iso2mesh-1.9.6+ds/surfvolume.m0000644001356000007640000000117013724766530016516 0ustar fangqadminfunction vol=surfvolume(node,face,option) % % vol=surfvolume(node,face,option) % % calculate the enclosed volume for a closed surface % % author: Qianqian Fang, % % input: % node: node coordinates % face: surface triangle list % % output: % vol: total volume of the enclosed space % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % face=face(:,1:3); ed=surfedge(face); if(~isempty(ed)) error('open surface is detected, you have to close it first, consider meshcheckrepair() with meshfix option'); end [no,el]=fillsurf(node,face); vol=elemvolume(no,el); vol=sum(vol); octave-iso2mesh-1.9.6+ds/maxsurf.m0000644001356000007640000000221213724766530015772 0ustar fangqadminfunction [f maxsize]=maxsurf(facecell,node) % % [f maxsize]=maxsurf(facecell,node) % % return the surface with the maximum element number or % total area from a cell arry of surfaces % % author: Qianqian Fang, % % input: % facecell: a cell array, each element is a face array % node: optional, node list, if given, the output is the % surface with the largest surface area. % % output: % f: the surface data (node indices) for the surface with the % most elements (or largest area when node is given) % maxsize: if node is not given, maxisize is row number of f; % otherwise, maxsize is the total area of f % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % maxsize=-1; maxid=-1; if(nargin==2) areas=zeros(1,length(facecell)); for i=1:length(facecell) areas(i)=sum(elemvolume(node(:,1:3),facecell{i})); end [maxsize,maxid]=max(areas); f=facecell{maxid}; return; else for i=1:length(facecell) if(length(facecell{i})>maxsize) maxsize=length(facecell{i}); maxid=i; end end f=[]; if(maxid>0) f=facecell{maxid}; end end octave-iso2mesh-1.9.6+ds/readoff.m0000644001356000007640000000263313724766530015722 0ustar fangqadminfunction [node,elem]=readoff(fname) % % [node,elem]=readoff(fname) % % read Geomview Object File Format (OFF) % % author: Qianqian Fang, % date: 2008/03/28 % % input: % fname: name of the OFF data file % % output: % node: node coordinates of the mesh % elem: list of elements of the mesh % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % node=[]; elem=[]; fid=fopen(fname,'rt'); line=fgetl(fid); dim=sscanf(line,'OFF %d %d %d'); line=nonemptyline(fid); if(size(dim,1)~=3) dim=sscanf(line,'%d',3); line=nonemptyline(fid); end nodalcount=3; if(~isempty(line)) [val nodalcount]=sscanf(line,'%f',inf); else fclose(fid); return; end node=fscanf(fid,'%f',[nodalcount,dim(1)-1])'; node=[val(:)';node]; line=nonemptyline(fid); facetcount=4; if(~isempty(line)) [val facetcount]=sscanf(line,'%f',inf); else fclose(fid); return; end elem=fscanf(fid,'%f',[facetcount,dim(2)-1])'; elem=[val(:)';elem]; fclose(fid); elem(:,1)=[]; if(size(elem,2)<=3) elem(:,1:3)=round(elem(:,1:3))+1; else elem(:,1:4)=round(elem(:,1:4))+1; end %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% function str=nonemptyline(fid) str=''; if(fid==0) error('invalid file'); end while((isempty(regexp(str,'\S')) || ~isempty(regexp(str,'^#'))) && ~feof(fid)) str=fgetl(fid); if(~ischar(str)) str=''; return; end end octave-iso2mesh-1.9.6+ds/getplanefrom3pt.m0000644001356000007640000000126313724766530017424 0ustar fangqadminfunction [a,b,c,d]=getplanefrom3pt(plane) % % [a,b,c,d]=getplanefrom3pt(plane) % % define a plane equation ax+by+cz+d=0 from three 3D points % % author: Qianqian Fang, % % input: % plane: a 3x3 matrix with each row specifying a 3D point (x,y,z) % % output: % a,b,c,d: the coefficient for plane equation ax+by+cz+d=0 % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % x=plane(:,1); y=plane(:,2); z=plane(:,3); % compute the plane equation a*x + b*y +c*z +d=0 a=y(1)*(z(2)-z(3))+y(2)*(z(3)-z(1))+y(3)*(z(1)-z(2)); b=z(1)*(x(2)-x(3))+z(2)*(x(3)-x(1))+z(3)*(x(1)-x(2)); c=x(1)*(y(2)-y(3))+x(2)*(y(3)-y(1))+x(3)*(y(1)-y(2)); d=-det(plane); octave-iso2mesh-1.9.6+ds/savejson.m0000644001356000007640000006646613724766530016162 0ustar fangqadminfunction json=savejson(rootname,obj,varargin) % % json=savejson(obj) % or % json=savejson(rootname,obj,filename) % json=savejson(rootname,obj,opt) % json=savejson(rootname,obj,'param1',value1,'param2',value2,...) % % convert a MATLAB object (cell, struct or array) into a JSON (JavaScript % Object Notation) string % % author: Qianqian Fang (q.fang neu.edu) % initially created on 2011/09/09 % % input: % rootname: the name of the root-object, when set to '', the root name % is ignored, however, when opt.ForceRootName is set to 1 (see below), % the MATLAB variable name will be used as the root name. % obj: a MATLAB object (array, cell, cell array, struct, struct array, % class instance). % filename: a string for the file name to save the output JSON data. % opt: a struct for additional options, ignore to use default values. % opt can have the following fields (first in [.|.] is the default) % % FileName [''|string]: a file name to save the output JSON data % FloatFormat ['%.10g'|string]: format to show each numeric element % of a 1D/2D array; % IntFormat ['%.0f'|string]: format to display integer elements % of a 1D/2D array; % ArrayIndent [1|0]: if 1, output explicit data array with % precedent indentation; if 0, no indentation % ArrayToStruct[0|1]: when set to 0, savejson outputs 1D/2D % array in JSON array format; if sets to 1, an % array will be shown as a struct with fields % "_ArrayType_", "_ArraySize_" and "_ArrayData_"; for % sparse arrays, the non-zero elements will be % saved to _ArrayData_ field in triplet-format i.e. % (ix,iy,val) and "_ArrayIsSparse_" will be added % with a value of 1; for a complex array, the % _ArrayData_ array will include two columns % (4 for sparse) to record the real and imaginary % parts, and also "_ArrayIsComplex_":1 is added. % NestArray [0|1]: If set to 1, use nested array constructs % to store N-dimensional arrays; if set to 0, % use the annotated array format defined in the % JData Specification (Draft 1 or later). % ParseLogical [0|1]: if this is set to 1, logical array elem % will use true/false rather than 1/0. % SingletArray [0|1]: if this is set to 1, arrays with a single % numerical element will be shown without a square % bracket, unless it is the root object; if 0, square % brackets are forced for any numerical arrays. % SingletCell [1|0]: if 1, always enclose a cell with "[]" % even it has only one element; if 0, brackets % are ignored when a cell has only 1 element. % ForceRootName [0|1]: when set to 1 and rootname is empty, savejson % will use the name of the passed obj variable as the % root object name; if obj is an expression and % does not have a name, 'root' will be used; if this % is set to 0 and rootname is empty, the root level % will be merged down to the lower level. % Inf ['"$1_Inf_"'|string]: a customized regular expression pattern % to represent +/-Inf. The matched pattern is '([-+]*)Inf' % and $1 represents the sign. For those who want to use % 1e999 to represent Inf, they can set opt.Inf to '$11e999' % NaN ['"_NaN_"'|string]: a customized regular expression pattern % to represent NaN % JSONP [''|string]: to generate a JSONP output (JSON with padding), % for example, if opt.JSONP='foo', the JSON data is % wrapped inside a function call as 'foo(...);' % UnpackHex [1|0]: conver the 0x[hex code] output by loadjson % back to the string form % SaveBinary [0|1]: 1 - save the JSON file in binary mode; 0 - text mode. % Compact [0|1]: 1- out compact JSON format (remove all newlines and tabs) % Compression 'zlib', 'gzip', 'lzma', 'lzip', 'lz4' or 'lz4hc': specify array % compression method; currently only supports 6 methods. The % data compression only applicable to numerical arrays % in 3D or higher dimensions, or when ArrayToStruct % is 1 for 1D or 2D arrays. If one wants to % compress a long string, one must convert % it to uint8 or int8 array first. The compressed % array uses three extra fields % "_ArrayZipType_": the opt.Compression value. % "_ArrayZipSize_": a 1D interger array to % store the pre-compressed (but post-processed) % array dimensions, and % "_ArrayZipData_": the "base64" encoded % compressed binary array data. % CompressArraySize [100|int]: only to compress an array if the total % element count is larger than this number. % CompressStringSize [400|int]: only to compress a string if the total % element count is larger than this number. % FormatVersion [2|float]: set the JSONLab output version; since % v2.0, JSONLab uses JData specification Draft 1 % for output format, it is incompatible with all % previous releases; if old output is desired, % please set FormatVersion to 1.9 or earlier. % Encoding ['']: json file encoding. Support all encodings of % fopen() function % Append [0|1]: if set to 1, append a new object at the end of the file. % Endian ['n'|'b','l']: Endianness of the output file ('n': native, % 'b': big endian, 'l': little-endian) % PreEncode [1|0]: if set to 1, call jdataencode first to preprocess % the input data before saving % % opt can be replaced by a list of ('param',value) pairs. The param % string is equivallent to a field in opt and is case sensitive. % output: % json: a string in the JSON format (see http://json.org) % % examples: % jsonmesh=struct('MeshNode',[0 0 0;1 0 0;0 1 0;1 1 0;0 0 1;1 0 1;0 1 1;1 1 1],... % 'MeshElem',[1 2 4 8;1 3 4 8;1 2 6 8;1 5 6 8;1 5 7 8;1 3 7 8],... % 'MeshSurf',[1 2 4;1 2 6;1 3 4;1 3 7;1 5 6;1 5 7;... % 2 8 4;2 8 6;3 8 4;3 8 7;5 8 6;5 8 7],... % 'MeshCreator','FangQ','MeshTitle','T6 Cube',... % 'SpecialData',[nan, inf, -inf]); % savejson('jmesh',jsonmesh) % savejson('',jsonmesh,'ArrayIndent',0,'FloatFormat','\t%.5g') % % license: % BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details % % -- this function is part of JSONLab toolbox (http://iso2mesh.sf.net/cgi-bin/index.cgi?jsonlab) % if(nargin==1) varname=inputname(1); obj=rootname; rootname=varname; else varname=inputname(2); end if(length(varargin)==1 && ischar(varargin{1})) opt=struct('filename',varargin{1}); else opt=varargin2struct(varargin{:}); end opt.isoctave=isoctavemesh; opt.compression=jsonopt('Compression','',opt); opt.nestarray=jsonopt('NestArray',0,opt); opt.compact=jsonopt('Compact',0,opt); opt.singletcell=jsonopt('SingletCell',1,opt); opt.singletarray=jsonopt('SingletArray',0,opt); opt.formatversion=jsonopt('FormatVersion',2,opt); opt.compressarraysize=jsonopt('CompressArraySize',100,opt); opt.compressstringsize=jsonopt('CompressStringSize',opt.compressarraysize*4,opt); opt.intformat=jsonopt('IntFormat','%.0f',opt); opt.floatformat=jsonopt('FloatFormat','%.10g',opt); opt.unpackhex=jsonopt('UnpackHex',1,opt); opt.arraytostruct=jsonopt('ArrayToStruct',0,opt); opt.parselogical=jsonopt('ParseLogical',0,opt); opt.arrayindent=jsonopt('ArrayIndent',1,opt); opt.inf=jsonopt('Inf','"$1_Inf_"',opt); opt.nan=jsonopt('NaN','"_NaN_"',opt); opt.num2cell_=0; opt.nosubstruct_=0; if(jsonopt('PreEncode',1,opt)) obj=jdataencode(obj,'Base64',1,'UseArrayZipSize',0,opt); end dozip=opt.compression; if(~isempty(dozip)) if(isempty(strmatch(dozip,{'zlib','gzip','lzma','lzip','lz4','lz4hc'}))) error('compression method "%s" is not supported',dozip); end if(exist('zmat','file')~=2 && exist('zmat','file')~=3) try error(javachk('jvm')); try base64decode('test'); catch matlab.net.base64decode('test'); end catch error('java-based compression is not supported'); end end opt.Compression=dozip; end rootisarray=0; rootlevel=1; forceroot=jsonopt('ForceRootName',0,opt); if((isnumeric(obj) || islogical(obj) || ischar(obj) || isstruct(obj) || ... iscell(obj) || isobject(obj) ) && isempty(rootname) && forceroot==0) rootisarray=1; rootlevel=0; else if(isempty(rootname)) rootname=varname; end end if(isa(obj,'containers.Map') && ~strcmp(obj.KeyType,'char')) rootisarray=0; end if((isstruct(obj) || iscell(obj))&& isempty(rootname) && forceroot) rootname='root'; end whitespaces=struct('tab',sprintf('\t'),'newline',sprintf('\n'),'sep',sprintf(',\n')); if(opt.compact==1) whitespaces=struct('tab','','newline','','sep',','); end if(~isfield(opt,'whitespaces_')) opt.whitespaces_=whitespaces; end nl=whitespaces.newline; json=obj2json(rootname,obj,rootlevel,opt); if(rootisarray) json=sprintf('%s%s',json,nl); else json=sprintf('{%s%s%s}\n',nl,json,nl); end jsonp=jsonopt('JSONP','',opt); if(~isempty(jsonp)) json=sprintf('%s(%s);%s',jsonp,json,nl); end % save to a file if FileName is set, suggested by Patrick Rapin filename=jsonopt('FileName','',opt); if(~isempty(filename)) encoding = jsonopt('Encoding','',opt); endian = jsonopt('Endian','n',opt); mode = 'w'; if(jsonopt('Append',0,opt)) mode='a'; end if(jsonopt('SaveBinary',0,opt)==1) if(isempty(encoding)) fid = fopen(filename, [mode 'b'],endian,encoding); else fid = fopen(filename, [mode 'b'],endian); end fwrite(fid,json); else if(isempty(encoding)) fid = fopen(filename,[mode 't'],endian); else fid = fopen(filename,[mode 't'],endian,encoding); end fwrite(fid,json,'char'); end fclose(fid); end %%------------------------------------------------------------------------- function txt=obj2json(name,item,level,varargin) if(iscell(item) || isa(item,'string')) txt=cell2json(name,item,level,varargin{:}); elseif(isstruct(item)) txt=struct2json(name,item,level,varargin{:}); elseif(isnumeric(item) || islogical(item)) txt=mat2json(name,item,level,varargin{:}); elseif(ischar(item)) if(~isempty(varargin{1}.compression) && numel(item)>=varargin{1}.compressstringsize) txt=mat2json(name,item,level,varargin{:}); else txt=str2json(name,item,level,varargin{:}); end elseif(isa(item,'function_handle')) txt=struct2json(name,functions(item),level,varargin{:}); elseif(isa(item,'containers.Map')) txt=map2json(name,item,level,varargin{:}); elseif(isa(item,'categorical')) txt=cell2json(name,cellstr(item),level,varargin{:}); elseif(isa(item,'table')) txt=matlabtable2json(name,item,level,varargin{:}); elseif(isa(item,'graph') || isa(item,'digraph')) txt=struct2json(name,jdataencode(item),level,varargin{:}); elseif(isobject(item)) txt=matlabobject2json(name,item,level,varargin{:}); else txt=any2json(name,item,level,varargin{:}); end %%------------------------------------------------------------------------- function txt=cell2json(name,item,level,varargin) txt={}; if(~iscell(item) && ~isa(item,'string')) error('input is not a cell or string array'); end if(isa(item,'string')) level=level-1; end isnum2cell=varargin{1}.num2cell_; if(isnum2cell) item=squeeze(item); format=varargin{1}.formatversion; if(format>1.9 && ~isvector(item)) item=permute(item,ndims(item):-1:1); end end dim=size(item); if(ndims(squeeze(item))>2) % for 3D or higher dimensions, flatten to 2D for now item=reshape(item,dim(1),numel(item)/dim(1)); dim=size(item); end len=numel(item); ws=varargin{1}.whitespaces_; padding0=repmat(ws.tab,1,level); nl=ws.newline; bracketlevel=~varargin{1}.singletcell; if(len>bracketlevel) if(~isempty(name)) txt={padding0, '"', decodevarname(name,varargin{1}.unpackhex),'":[', nl}; name=''; else txt={padding0, '[', nl}; end elseif(len==0) if(~isempty(name)) txt={padding0, '"' decodevarname(name,varargin{1}.unpackhex) '":[]'}; name=''; else txt={padding0, '[]'}; end txt = sprintf('%s',txt{:}); return; end if(size(item,1)>1) item=num2cell(item,2:ndims(item))'; end idx=num2cell(1:length(item)); sep={[',' nl],''}; txt=[txt{:},cellfun(@(x,id) [obj2json(name,x,level+(dim(1)>1)+(len>bracketlevel),varargin{:}), sep{(id==length(item))+1}], item, idx, 'UniformOutput',false)]; if(len>bracketlevel) txt(end+1:end+3)={nl,padding0,']'}; end txt = sprintf('%s',txt{:}); %%------------------------------------------------------------------------- function txt=struct2json(name,item,level,varargin) txt={}; if(~isstruct(item)) error('input is not a struct'); end dim=size(item); if(ndims(squeeze(item))>2) % for 3D or higher dimensions, flatten to 2D for now item=reshape(item,dim(1),numel(item)/dim(1)); dim=size(item); end len=numel(item); forcearray= (len>1 || (varargin{1}.singletarray==1 && level>0)); ws=varargin{1}.whitespaces_; padding0=repmat(ws.tab,1,level); padding2=repmat(ws.tab,1,level+1); padding1=repmat(ws.tab,1,level+(dim(1)>1)+forcearray); nl=ws.newline; if(isfield(item,encodevarname('_ArrayType_',varargin{1}.unpackhex))) varargin{1}.nosubstruct_=1; end if(isempty(item)) if(~isempty(name)) txt={padding0, '"', decodevarname(name,varargin{1}.unpackhex),'":[]'}; else txt={padding0, '[]'}; end txt = sprintf('%s',txt{:}); return; end if(~isempty(name)) if(forcearray) txt={padding0, '"', decodevarname(name,varargin{1}.unpackhex),'":[', nl}; end else if(forcearray) txt={padding0, '[', nl}; end end for j=1:dim(2) if(dim(1)>1) txt(end+1:end+3)={padding2,'[',nl}; end for i=1:dim(1) names = fieldnames(item(i,j)); if(~isempty(name) && len==1 && ~forcearray) txt(end+1:end+5)={padding1, '"', decodevarname(name,varargin{1}.unpackhex),'":{', nl}; else txt(end+1:end+3)={padding1, '{', nl}; end if(~isempty(names)) for e=1:length(names) if(varargin{1}.nosubstruct_ && ischar(item(i,j).(names{e})) || ... strcmp(names{e},encodevarname('_ByteStream_'))) txt{end+1}=str2json(names{e},item(i,j).(names{e}),... level+(dim(1)>1)+1+forcearray,varargin{:}); else txt{end+1}=obj2json(names{e},item(i,j).(names{e}),... level+(dim(1)>1)+1+forcearray,varargin{:}); end if(e1) txt(end+1:end+3)={nl,padding2,']'}; end if(j1 || (varargin{1}.singletarray==1 && level>0)); ws=varargin{1}.whitespaces_; padding0=repmat(ws.tab,1,level); nl=ws.newline; if(isempty(item)) if(~isempty(name)) txt={padding0, '"', decodevarname(name,varargin{1}.unpackhex),'":[]'}; else txt={padding0, '[]'}; end txt = sprintf('%s',txt{:}); return; end if(~isempty(name)) if(forcearray) txt={padding0, '"', decodevarname(name,varargin{1}.unpackhex),'":{', nl}; end else if(forcearray) txt={padding0, '{', nl}; end end for i=1:dim(1) if(~isempty(names{i})) txt{end+1}=obj2json(names{i},val{i},... level+(dim(1)>1),varargin{:}); if(i1) txt={padding1, '"', decodevarname(name,varargin{1}.unpackhex),'":[', nl}; end else if(len>1) txt={padding1, '[', nl}; end end for e=1:len if(strcmp('_ArrayZipData_',decodevarname(name,varargin{1}.unpackhex))==0) val=escapejsonstring(item(e,:),varargin{:}); else val=item(e,:); end if(len==1) obj=['"' decodevarname(name,varargin{1}.unpackhex) '":' '"',val,'"']; if(isempty(name)) obj=['"',val,'"']; end txt(end+1:end+2)={padding1, obj}; else txt(end+1:end+4)={padding0,'"',val,'"'}; end if(e==len) sep=''; end txt{end+1}=sep; end if(len>1) txt(end+1:end+3)={nl,padding1,']'}; end txt = sprintf('%s',txt{:}); %%------------------------------------------------------------------------- function txt=mat2json(name,item,level,varargin) if(~isnumeric(item) && ~islogical(item) && ~ischar(item)) error('input is not an array'); end ws=varargin{1}.whitespaces_; padding1=repmat(ws.tab,1,level); padding0=repmat(ws.tab,1,level+1); nl=ws.newline; sep=ws.sep; dozip=varargin{1}.compression; zipsize=varargin{1}.compressarraysize; format=varargin{1}.formatversion; isnest=varargin{1}.nestarray; if(~varargin{1}.nosubstruct_ && ( ((isnest==0) && length(size(item))>2) || issparse(item) || ~isreal(item) || ... (isempty(item) && any(size(item))) || varargin{1}.arraytostruct || (~isempty(dozip) && numel(item)>zipsize))) if(isempty(name)) txt=sprintf('%s{%s%s"_ArrayType_":"%s",%s%s"_ArraySize_":%s,%s',... padding1,nl,padding0,class(item),nl,padding0,regexprep(mat2str(size(item)),'\s+',','),nl); else txt=sprintf('%s"%s":{%s%s"_ArrayType_":"%s",%s%s"_ArraySize_":%s,%s',... padding1,decodevarname(name,varargin{1}.unpackhex),nl,padding0,class(item),nl,padding0,regexprep(mat2str(size(item)),'\s+',','),nl); end else numtxt=matdata2json(item,level+1,varargin{:}); if(isempty(name)) txt=sprintf('%s%s',padding1,numtxt); else if(numel(item)==1 && varargin{1}.singletarray==0) txt=sprintf('%s"%s":%s',padding1,decodevarname(name,varargin{1}.unpackhex),numtxt); else txt=sprintf('%s"%s":%s',padding1,decodevarname(name,varargin{1}.unpackhex),numtxt); end end return; end dataformat='%s%s%s%s%s'; if(issparse(item)) [ix,iy]=find(item); data=full(item(find(item))); if(~isreal(item)) data=[real(data(:)),imag(data(:))]; if(size(item,1)==1) % Kludge to have data's 'transposedness' match item's. % (Necessary for complex row vector handling below.) data=data'; end txt=sprintf(dataformat,txt,padding0,'"_ArrayIsComplex_":','true', sep); end txt=sprintf(dataformat,txt,padding0,'"_ArrayIsSparse_":','true', sep); if(~isempty(dozip) && numel(data*2)>zipsize) if(size(item,1)==1) % Row vector, store only column indices. fulldata=[iy(:),data']; elseif(size(item,2)==1) % Column vector, store only row indices. fulldata=[ix,data]; else % General case, store row and column indices. fulldata=[ix,iy,data]; end txt=sprintf(dataformat,txt,padding0,'"_ArrayZipSize_":',regexprep(mat2str(size(fulldata)),'\s+',','), sep); txt=sprintf(dataformat,txt,padding0,'"_ArrayZipType_":"',dozip, ['"' sep]); compfun=str2func([dozip 'encode']); txt=sprintf(dataformat,txt,padding0,'"_ArrayZipData_":"',base64encode(compfun(typecast(fulldata(:),'uint8'))),['"' nl]); else if(size(item,1)==1) % Row vector, store only column indices. fulldata=[iy(:),data']; elseif(size(item,2)==1) % Column vector, store only row indices. fulldata=[ix,data]; else % General case, store row and column indices. fulldata=[ix,iy,data]; end txt=sprintf(dataformat,txt,padding0,'"_ArrayData_":',... matdata2json(fulldata',level+2,varargin{:}), nl); end else if(format>1.9) item=permute(item,ndims(item):-1:1); end if(~isempty(dozip) && numel(item)>zipsize) if(isreal(item)) fulldata=item(:)'; if(islogical(fulldata) || ischar(fulldata)) fulldata=uint8(fulldata); end else txt=sprintf(dataformat,txt,padding0,'"_ArrayIsComplex_":','true', sep); fulldata=[real(item(:)) imag(item(:))]'; end txt=sprintf(dataformat,txt,padding0,'"_ArrayZipSize_":',regexprep(mat2str(size(fulldata)),'\s+',','), sep); txt=sprintf(dataformat,txt,padding0,'"_ArrayZipType_":"',dozip, ['"' sep]); compfun=str2func([dozip 'encode']); txt=sprintf(dataformat,txt,padding0,'"_ArrayZipData_":"',char(base64encode(compfun(typecast(fulldata(:),'uint8')))),['"' nl]); else if(isreal(item)) txt=sprintf(dataformat,txt,padding0,'"_ArrayData_":',... matdata2json(item(:)',level+2,varargin{:}), nl); else txt=sprintf(dataformat,txt,padding0,'"_ArrayIsComplex_":','true', sep); txt=sprintf(dataformat,txt,padding0,'"_ArrayData_":',... matdata2json([real(item(:)) imag(item(:))]',level+2,varargin{:}), nl); end end end txt=sprintf('%s%s%s',txt,padding1,'}'); %%------------------------------------------------------------------------- function txt=matlabobject2json(name,item,level,varargin) try if numel(item) == 0 %empty object st = struct(); elseif numel(item) == 1 % txt = str2json(name, char(item), level, varargin(:)); return else propertynames = properties(item); for p = 1:numel(propertynames) for o = numel(item):-1:1 % aray of objects st(o).(propertynames{p}) = item(o).(propertynames{p}); end end end txt=struct2json(name,st,level,varargin{:}); catch txt = any2json(name,item, level, varargin(:)); end %%------------------------------------------------------------------------- function txt=matlabtable2json(name,item,level,varargin) st=containers.Map(); st('_TableRecords_')=table2cell(item); st('_TableRows_')=item.Properties.RowNames'; st('_TableCols_')=item.Properties.VariableNames; if(isempty(name)) txt=map2json(name,st,level,varargin{:}); else temp=struct(name,struct()); temp.(name)=st; txt=map2json(name,temp.(name),level,varargin{:}); end %%------------------------------------------------------------------------- function txt=matdata2json(mat,level,varargin) ws=varargin{1}.whitespaces_; tab=ws.tab; nl=ws.newline; isnest=varargin{1}.nestarray; format=varargin{1}.formatversion; isnum2cell=varargin{1}.num2cell_; if(~isvector(mat) && isnest==1) if(format>1.9 && isnum2cell==0) mat=permute(mat,ndims(mat):-1:1); end varargin{1}.num2cell_=1; varargin{1}.singletcell=0; txt=cell2json('',num2cell(mat,1),level-1,varargin{:}); return; elseif(isvector(mat) && isnum2cell==1) mat=mat(:).'; end if(size(mat,1)==1) pre=''; post=''; level=level-1; else pre=sprintf('[%s',nl); post=sprintf('%s%s]',nl,repmat(tab,1,level-1)); end if(isempty(mat)) txt='[]'; return; end if(isinteger(mat)) floatformat=varargin{1}.intformat; else floatformat=varargin{1}.floatformat; end if(numel(mat)==1 && varargin{1}.singletarray==0 && level>0) formatstr=[repmat([floatformat ','],1,size(mat,2)-1) [floatformat sprintf(',%s',nl)]]; else formatstr=['[' repmat([floatformat ','],1,size(mat,2)-1) [floatformat sprintf('],%s',nl)]]; end if(nargin>=2 && size(mat,1)>1 && varargin{1}.arrayindent==1) formatstr=[repmat(tab,1,level) formatstr]; end txt=sprintf(formatstr,permute(mat,ndims(mat):-1:1)); txt(end-length(nl):end)=[]; if(islogical(mat) && (numel(mat)==1 || varargin{1}.parselogical==1)) txt=regexprep(txt,'1','true'); txt=regexprep(txt,'0','false'); end txt=[pre txt post]; if(any(isinf(mat(:)))) txt=regexprep(txt,'([-+]*)Inf',varargin{1}.inf); end if(any(isnan(mat(:)))) txt=regexprep(txt,'NaN',varargin{1}.nan); end %%------------------------------------------------------------------------- function txt=any2json(name,item,level,varargin) st=containers.Map(); st('_DataInfo_')=struct('MATLABObjectName',name, 'MATLABObjectClass',class(item),'MATLABObjectSize',size(item)); st('_ByteStream_')=char(base64encode(getByteStreamFromArray(item))); if(isempty(name)) txt=map2json(name,st,level,varargin{:}); else temp=struct(name,struct()); temp.(name)=st; txt=map2json(name,temp.(name),level,varargin{:}); end %%------------------------------------------------------------------------- function newstr=escapejsonstring(str,varargin) newstr=str; if(isempty(str) || isempty(regexp(str,'\W', 'once'))) return; end isoct=varargin{1}.isoctave; if(isoct) vv=sscanf(OCTAVE_VERSION,'%f'); if(vv(1)>=3.8) isoct=0; end end if(isoct) escapechars={'\\','\"','\/','\a','\f','\n','\r','\t','\v'}; for i=1:length(escapechars) newstr=regexprep(newstr,escapechars{i},escapechars{i}); end newstr=regexprep(newstr,'\\\\(u[0-9a-fA-F]{4}[^0-9a-fA-F]*)','\$1'); else escapechars={'\\','\"','\/','\a','\b','\f','\n','\r','\t','\v'}; esc={'\\\\','\\"','\\/','\\a','\\b','\\f','\\n','\\r','\\t','\\v'}; for i=1:length(escapechars) newstr=regexprep(newstr,escapechars{i},esc{i}); end newstr=regexprep(newstr,'\\\\(u[0-9a-fA-F]{4}[^0-9a-fA-F]*)','\\$1'); end octave-iso2mesh-1.9.6+ds/surfreorient.m0000644001356000007640000000123013724766530017033 0ustar fangqadminfunction [newnode,newface]=surfreorient(node,face) % % [newnode,newface]=surfreorient(node,elem) % % reorder nodes in a single closed surface to ensure the norms of all % triangles are pointing outward % % author: Qianqian Fang, % date: 2012/07/06 % % input: % node: list of nodes % face: list of surface triangles (each row are indices of nodes of each triangle) % % output: % newnode: the output node list, in most cases it equals node % newface: the face list with consistent ordering % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % [newnode,newface]=meshcheckrepair(node(:,1:3),face(:,1:3),'deep'); octave-iso2mesh-1.9.6+ds/base64encode.m0000644001356000007640000000265213724766530016557 0ustar fangqadminfunction varargout = base64encode(varargin) % % output = base64encode(input) % % Encoding a binary vector or array using Base64 % % This function depends on JVM in MATLAB or, can optionally use the ZMat % toolbox (http://github.com/fangq/zmat) % % Copyright (c) 2012, Kota Yamaguchi % URL: https://www.mathworks.com/matlabcentral/fileexchange/39526-byte-encoding-utilities % % Modified by: Qianqian Fang (q.fang neu.edu) % % input: % input: a base64-encoded string % % output: % output: the decoded binary byte-stream as a uint8 vector % % examples: % bytes=base64encode('Test JSONLab'); % orig=char(base64decode(bytes)) % % license: % BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details % % -- this function is part of JSONLab toolbox (http://iso2mesh.sf.net/cgi-bin/index.cgi?jsonlab) % if(nargin==0) error('you must provide at least 1 input'); end if(exist('zmat','file')==2 || exist('zmat','file')==3) [varargout{1:nargout}]=zmat(varargin{1}, 1,'base64',varargin{2:end}); return; end if(ischar(varargin{1})) varargin{1}=uint8(varargin{1}); end input=typecast(varargin{1}(:)','uint8'); if(isoctavemesh) varargout{1} = base64_encode(uint8(input)); return; end error(javachk('jvm')); if ischar(input) input = uint8(input); end varargout{1} = char(org.apache.commons.codec.binary.Base64.encodeBase64Chunked(input))'; varargout{1} = regexprep(varargout{1} ,'\r',''); octave-iso2mesh-1.9.6+ds/savemphtxt.m0000644001356000007640000000355313724766530016521 0ustar fangqadminfunction savemphtxt(node, face, elem, filename) % % savemphtxt(node, face, elem, filename) % % save tetrahedron mesh to comsol file (.mphtxt) % % author: Donghyeon Kim (danielkim gist.ac.kr) % date: 2011/09/29 % % input: % node: input, node list, dimension (nn,3) % face: input, surface face element list with label, dimension (be,4) % elem: input, tetrahedron element list with label, dimension (ne,5) % filename: input, output file name % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % n_node = size(node,1); n_face = size(face,1); n_elem = size(elem,1); elem(:,1:4)=meshreorient(node(:,1:3),elem(:,1:4)); if(size(face,2)<4) face(:,4)=1; elseif(min(face(:,4))==0) face(:,4)=face(:,4)+1; end if(size(elem,2)<5) elem(:,5)=1; elseif(min(elem(:,5))==0) elem(:,5)=elem(:,5)+1; end fp = fopen(filename,'w'); fprintf(fp,'# Created by iso2mesh (http://iso2mesh.sf.net)\n'); fprintf(fp,'0 1\n1\n5 mesh1\n1\n3 obj\n\n'); fprintf(fp,'0 0 1\n4 Mesh\n2\n3\n%d\n1\n',n_node); % Write Node information for i = 1:n_node fprintf(fp,'%.16f %.16f %.16f\n',node(i,1),node(i,2),node(i,3)); end fprintf(fp, '\n2\n\n3 tri\n'); % Write Tri information fprintf(fp, '\n3\n'); fprintf(fp, '%d\n\n',n_face); for i = 1:n_face fprintf(fp,'%d %d %d\n',face(i,1),face(i,2),face(i,3)); end fprintf(fp, '\n1\n0\n'); fprintf(fp, '%d\n',n_face); for i = 1:n_face fprintf(fp,'%d\n',face(i,4)); end fprintf(fp, '\n%d\n',n_face); for i = 1:n_face fprintf(fp,'0 0\n'); end % Write Tet information fprintf(fp, '\n\n3 tet\n4\n\n%d\n', n_elem); for i = 1:n_elem fprintf(fp,'%d %d %d %d\n',elem(i,1),elem(i,2),elem(i,3),elem(i,4)); end fprintf(fp, '\n4\n0\n%d\n%d\n', n_elem); for i = 1:n_elem fprintf(fp,'%d\n',elem(i,5)); end fprintf(fp,'\n0\n'); fclose(fp); octave-iso2mesh-1.9.6+ds/raytrace.m0000644001356000007640000000372513724766530016131 0ustar fangqadminfunction [t,u,v,idx]=raytrace(p0,v0,node,face) % % [t,u,v,idx]=raytrace(p0,v0,node,face) % % perform a Havel-styled ray tracing for a triangular surface % % author: Qianqian Fang, % % input: % p0: starting point coordinate of the ray % v0: directional vector of the ray % node: a list of node coordinates (nn x 3) % face: a surface mesh triangle list (ne x 3) % % output: % t: signed distance from p to the intersection point for each surface % triangle, if ray is parallel to the triangle, t is set to Inf % u: bary-centric coordinate 1 of all intersection points % v: bary-centric coordinate 2 of all intersection points % the final bary-centric triplet is [u,v,1-u-v] % idx: optional output, if requested, idx lists the IDs of the face % elements that intersects the ray; users can manually calc idx by % % idx=find(u>=0 & v>=0 & u+v<=1.0 & ~isinf(t)); % % Reference: % [1] J. Havel and A. Herout, "Yet faster ray-triangle intersection (using % SSE4)," IEEE Trans. on Visualization and Computer Graphics, % 16(3):434-438 (2010) % [2] Q. Fang, "Comment on 'A study on tetrahedron-based inhomogeneous % Monte-Carlo optical simulation'," Biomed. Opt. Express, (in % press) % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % p0=p0(:)'; v0=v0(:)'; AB=node(face(:,2),1:3)-node(face(:,1),1:3); AC=node(face(:,3),1:3)-node(face(:,1),1:3); N=cross(AB',AC')'; d=-dot(N',node(face(:,1),1:3)')'; Rn2=1./sum((N.*N)')'; N1=cross(AC',N')'.*repmat(Rn2,1,3); d1=-dot(N1',node(face(:,1),1:3)')'; N2=cross(N',AB')'.*repmat(Rn2,1,3); d2=-dot(N2',node(face(:,1),1:3)')'; den=(v0*N')'; t=-(d+(p0*N')'); P=(p0'*den'+v0'*t')'; u=dot(P',N1')'+den.*d1; v=dot(P',N2')'+den.*d2; idx=find(den); den(idx)=1./den(idx); t=t.*den; u=u.*den; v=v.*den; % if den==0, ray is parallel to triangle, set t to infinity t(find(den==0))=Inf; if(nargout>=4) idx=find(u>=0 & v>=0 & u+v<=1.0 & ~isinf(t)); end octave-iso2mesh-1.9.6+ds/insurface.m0000644001356000007640000000124713724766530016273 0ustar fangqadminfunction tf=insurface(node,face,points) % % tf=innersurf(node,face,points) % % test if a set of 3D points is located inside a 3D triangular surface % % author: Qianqian Fang, % % input: % node: node coordinates % face: surface triangle list % points: a set of 3D points (Nx3 array) % % output: % tf: a vector with the same length of points, % a value of 1 means the point is inside of the surface, and % a value of 0 means the point is outside of the surface. % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % [no,el]=fillsurf(node,face); tf=tsearchn(no,el,points); tf(~isnan(tf))=1; tf(isnan(tf)) =0; octave-iso2mesh-1.9.6+ds/sms.m0000644001356000007640000000153313724766530015114 0ustar fangqadminfunction newnode=sms(node,face,iter,alpha,method) % % newnode=sms(node,face,iter,useralpha,method) % % simplified version of surface mesh smoothing % % author: Qianqian Fang, % date: 2009/10/21 % % input: % node: node coordinates of a surface mesh % face: face element list of the surface mesh % iter: smoothing iteration number % alpha: scaler, smoothing parameter, v(k+1)=alpha*v(k)+(1-alpha)*mean(neighbors) % method: same as in smoothsurf, default is 'laplacianhc' % % output: % newnode: output, the smoothed node coordinates % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % if(nargin<5) method='laplacianhc'; end if(nargin<4) if(nargin<3) iter=10; end alpha=0.5; end conn=meshconn(face,size(node,1)); newnode=smoothsurf(node(:,1:3),[],conn,iter,alpha,method,alpha); octave-iso2mesh-1.9.6+ds/getexeext.m0000644001356000007640000000135513724766530016316 0ustar fangqadminfunction exesuff=getexeext() % % exesuff=getexeext() % % get meshing external tool extension names for the current platform % % author: Qianqian Fang, % % output: % exesuff: file extension for iso2mesh tool binaries % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % exesuff='.exe'; if(isunix) exesuff=['.',mexext]; end if(isoctavemesh) if(~ispc) if(~ismac) if(isempty(regexp(computer,'86_64'))) exesuff='.mexglx'; else exesuff='.mexa64'; end else if(isempty(regexp(computer,'86_64'))) exesuff='.mexmaci'; else exesuff='.mexmaci64'; end end else exesuff='.exe'; end end octave-iso2mesh-1.9.6+ds/imedge3d.m0000644001356000007640000000213013724766530015765 0ustar fangqadminfunction imgdiff=imedge3d(binimg,isdiff) % % imgdiff=imedge3d(binimg,isdiff) % % Extract the boundary voxels from a binary image % % author: Aslak Grinsted % modified by Qianqian Fang % % input: % binimg: a 3D binary image % isdiff: if isdiff=1, output will be all voxels which % is different from its neighbors; if isdiff=0 or % ignored, output will be the edge voxels of the % non-zero regions in binimg % % output: % imgdiff: a 3D logical array with the same size as binimg % with 1 for voxels on the boundary and 0 otherwise % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % invol=1; if(nargin==2) invol=isdiff; end binimg=logical(binimg); imgdiff=xor(binimg,binimg(:,:,[1 1:end-1])); imgdiff=imgdiff|xor(binimg,binimg(:,:,[2:end end])); imgdiff=imgdiff|xor(binimg,binimg(:,[1 1:end-1],:)); imgdiff=imgdiff|xor(binimg,binimg(:,[2:end end],:)); imgdiff=imgdiff|xor(binimg,binimg([1 1:end-1],:,:)); imgdiff=imgdiff|xor(binimg,binimg([2:end end],:,:)); if(invol) imgdiff=imgdiff&binimg; end octave-iso2mesh-1.9.6+ds/i2m.prj0000644001356000007640000002402213724766530015336 0ustar fangqadmin i2m 0.8 Qianqian Fang q.fang at neu.edu Northeastern University I2M is an integrated GUI for the 3D meshing toolbox Iso2Mesh developed by Qianqian Fang Iso2Mesh is a free matlab/octave-based mesh generation and processing toolbox. It can create 3D tetrahedral finite element (FE) mesh from surfaces, 3D binary and gray-scale volumetric images such as segmented MRI/CT scans. /local/i2m/ option.installpath.user ${PROJECT_ROOT}/i2m.png In the following directions, replace MCR_ROOT by the directory where the MATLAB Runtime is installed on the target machine. (1) Set the environment variable XAPPLRESDIR to this value: MCR_ROOT/v901/X11/app-defaults (2) If the environment variable LD_LIBRARY_PATH is undefined, set it to the concatenation of the following strings: MCR_ROOT/v901/runtime/glnxa64: MCR_ROOT/v901/bin/glnxa64: MCR_ROOT/v901/sys/os/glnxa64: MCR_ROOT/v901/sys/opengl/lib/glnxa64 If it is defined, set it to the concatenation of these strings: ${LD_LIBRARY_PATH}: MCR_ROOT/v901/runtime/glnxa64: MCR_ROOT/v901/bin/glnxa64: MCR_ROOT/v901/sys/os/glnxa64: MCR_ROOT/v901/sys/opengl/lib/glnxa64 ${PROJECT_ROOT}/i2m/for_testing ${PROJECT_ROOT}/i2m/for_redistribution_files_only ${PROJECT_ROOT}/i2m/for_redistribution ${PROJECT_ROOT}/i2m false true subtarget.standalone true false false MyAppInstaller_web MyAppInstaller_mcr MyAppInstaller_app false false ${PROJECT_ROOT}/img2mesh.m ${PROJECT_ROOT}/img2mesh.m ${PROJECT_ROOT}/bin ${PROJECT_ROOT}/bbxflatsegment.m ${PROJECT_ROOT}/binsurface.m ${PROJECT_ROOT}/cgals2m.m ${PROJECT_ROOT}/cgalv2m.m ${PROJECT_ROOT}/deletemeshfile.m ${PROJECT_ROOT}/elemvolume.m ${PROJECT_ROOT}/extractloops.m ${PROJECT_ROOT}/fallbackexeext.m ${PROJECT_ROOT}/finddisconnsurf.m ${PROJECT_ROOT}/getexeext.m ${PROJECT_ROOT}/getoptkey.m ${PROJECT_ROOT}/getplanefrom3pt.m ${PROJECT_ROOT}/getvarfrom.m ${PROJECT_ROOT}/img2mesh.fig ${PROJECT_ROOT}/internalpoint.m ${PROJECT_ROOT}/iso2meshver.m ${PROJECT_ROOT}/isoctavemesh.m ${PROJECT_ROOT}/jsonopt.m ${PROJECT_ROOT}/latticegrid.m ${PROJECT_ROOT}/loadjson.m ${PROJECT_ROOT}/loadubjson.m ${PROJECT_ROOT}/maxsurf.m ${PROJECT_ROOT}/mcpath.m ${PROJECT_ROOT}/mergestruct.m ${PROJECT_ROOT}/meshabox.m ${PROJECT_ROOT}/meshacylinder.m ${PROJECT_ROOT}/meshanellip.m ${PROJECT_ROOT}/meshasphere.m ${PROJECT_ROOT}/meshcentroid.m ${PROJECT_ROOT}/meshcheckrepair.m ${PROJECT_ROOT}/meshconn.m ${PROJECT_ROOT}/meshedge.m ${PROJECT_ROOT}/meshgrid5.m ${PROJECT_ROOT}/meshresample.m ${PROJECT_ROOT}/meshunitsphere.m ${PROJECT_ROOT}/mwpath.m ${PROJECT_ROOT}/plotedges.m ${PROJECT_ROOT}/plotmesh.m ${PROJECT_ROOT}/plotsurf.m ${PROJECT_ROOT}/plottetra.m ${PROJECT_ROOT}/qmeshcut.m ${PROJECT_ROOT}/raytrace.m ${PROJECT_ROOT}/readasc.m ${PROJECT_ROOT}/readgts.m ${PROJECT_ROOT}/readinr.m ${PROJECT_ROOT}/readmedit.m ${PROJECT_ROOT}/readmptiff.m ${PROJECT_ROOT}/readnifti.m ${PROJECT_ROOT}/readoff.m ${PROJECT_ROOT}/readsmf.m ${PROJECT_ROOT}/readtetgen.m ${PROJECT_ROOT}/removedupelem.m ${PROJECT_ROOT}/removedupnodes.m ${PROJECT_ROOT}/removeisolatednode.m ${PROJECT_ROOT}/removeisolatedsurf.m ${PROJECT_ROOT}/rotatevec3d.m ${PROJECT_ROOT}/rotmat2vec.m ${PROJECT_ROOT}/s2m.m ${PROJECT_ROOT}/s2v.m ${PROJECT_ROOT}/savegts.m ${PROJECT_ROOT}/saveinr.m ${PROJECT_ROOT}/savejmesh.m ${PROJECT_ROOT}/savejson.m ${PROJECT_ROOT}/saveoff.m ${PROJECT_ROOT}/savesurfpoly.m ${PROJECT_ROOT}/smoothsurf.m ${PROJECT_ROOT}/sms.m ${PROJECT_ROOT}/sortmesh.m ${PROJECT_ROOT}/struct2jdata.m ${PROJECT_ROOT}/surf2mesh.m ${PROJECT_ROOT}/surf2vol.m ${PROJECT_ROOT}/surf2volz.m ${PROJECT_ROOT}/surfboolean.m ${PROJECT_ROOT}/surfedge.m ${PROJECT_ROOT}/surfinterior.m ${PROJECT_ROOT}/surfplane.m ${PROJECT_ROOT}/surfseeds.m ${PROJECT_ROOT}/uniqedges.m ${PROJECT_ROOT}/v2m.m ${PROJECT_ROOT}/v2s.m ${PROJECT_ROOT}/varargin2struct.m ${PROJECT_ROOT}/vol2mesh.m ${PROJECT_ROOT}/vol2restrictedtri.m ${PROJECT_ROOT}/vol2surf.m ${PROJECT_ROOT}/volface.m ${PROJECT_ROOT}/i2m/for_testing/readme.txt ${PROJECT_ROOT}/i2m/for_testing/i2m ${PROJECT_ROOT}/i2m/for_testing/splash.png ${PROJECT_ROOT}/i2m/for_testing/run_i2m.sh /drives/hoyi1/users/shared/MATLAB/R2016a true true true true true false false false false false true false 4.4.0-131-generic false true glnxa64 true octave-iso2mesh-1.9.6+ds/surf2vol.m0000644001356000007640000000550413724766530016076 0ustar fangqadminfunction [img, v2smap]=surf2vol(node,face,xi,yi,zi,varargin) % % [img, v2smap]=surf2vol(node,face,xi,yi,zi,'options',values,...) % % convert a triangular surface to a shell of voxels in a 3D image % % author: Qianqian Fang (q.fang at neu.edu) % % input: % node: node list of the triangular surface, 3 columns for x/y/z % face: triangle node indices, each row is a triangle % if face contains the 4th column, it indicates the label of % the face triangles (each face componment must be closed); if % face contains 5 columns, it stores a tetrahedral mesh with % labels, where the first 4 columns are the element list and % the last column is the element label; % xi,yi,zi: x/y/z grid for the resulting volume % options: 'fill', if set to 1, the enclosed voxels are labeled by 1 % 'label', if set to 1, the enclosed voxels are labeled by % the corresponding label of the face or element; % setting 'label' to 1 also implies 'fill'. % % output: % img: a volumetric binary image at position of ndgrid(xi,yi,zi) % v2smap (optional): a 4x4 matrix denoting the Affine transformation to map % the voxel coordinates back to the mesh space. % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % fprintf(1,'converting a closed surface to a volumetric binary image ...\n'); opt=varargin2struct(varargin{:}); label=jsonopt('label',0,opt); elabel=1; if(size(face,2)>=4) elabel=unique(face(:,end)); if(size(face,2)==5) label=1; el=face; face=[]; for i=1:length(elabel) fc=volface(el(el(:,5)==elabel(i),1:4)); fc(:,4)=elabel(i); face=[face ; fc]; end end else fc=face; end img=zeros(length(xi),length(yi),length(zi),class(elabel)); for i=1:length(elabel) if(size(face,2)==4) fc=face(face(:,4)==elabel(i),1:3); end im=surf2volz(node(:,1:3),fc(:,1:3),xi,yi,zi); im=im | shiftdim(surf2volz(node(:,[3 1 2]),fc(:,1:3),zi,xi,yi),1); im=im | shiftdim(surf2volz(node(:,[2 3 1]),fc(:,1:3),yi,zi,xi),2); v2smap=[]; % here we assume the grid is uniform; surf2vol can handle non-uniform grid, % but the affine output is not correct in this case if(jsonopt('fill',0,opt) || label) im=imfill(im,'holes'); if(label) im=cast(im,class(elabel))*elabel(i); end end img=max(cast(im,class(img)),img); end if(nargout>1) dlen=abs([xi(2)-xi(1) yi(2)-yi(1) zi(2)-zi(1)]); p0=min(node); offset=p0; v2smap=diag(abs(dlen)); v2smap(4,4)=1; v2smap(1:3,4)=offset'; endoctave-iso2mesh-1.9.6+ds/mesheuler.m0000644001356000007640000000120213724766530016274 0ustar fangqadminfunction [X,V,E,F]=mesheuler(face) % % [X,V,E,F]=mesheuler(face) % % Euler's charastistics of a mesh % % author: Qianqian Fang, % % input: % face: a closed surface mesh % % output: % X: Euler's charastistics % V: number of vertices % E: number of edges % F: number of faces % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % % mesh vertices V=length(unique(face)); % mesh total edges E=face(:,[1,end]); for i=1:size(face,2)-1 E=[E;face(:,[i,i+1])]; end E=size(unique(sortrows(sort(E,2)),'rows'),1); % mesh faces F=size(face,1); % Euler's formula, X=2-2*g and g is genus X=V-E+F; octave-iso2mesh-1.9.6+ds/smoothsurf.m0000644001356000007640000000522013724766530016520 0ustar fangqadminfunction p=smoothsurf(node,mask,conn,iter,useralpha,usermethod,userbeta) % % p=smoothsurf(node,mask,conn,iter,useralpha,usermethod,userbeta) % % smoothing a surface mesh % % author: Qianqian Fang, % date: 2007/11/21 % % input: % node: node coordinates of a surface mesh % mask: flag whether a node is movable: 0 movable, 1 non-movable % if mask=[], it assumes all nodes are movable % conn: input, a cell structure of length size(node), conn{n} % contains a list of all neighboring node ID for node n, % this can be computed from meshconn function % iter: smoothing iteration number % useralpha: scaler, smoothing parameter, v(k+1)=(1-alpha)*v(k)+alpha*mean(neighbors) % usermethod: smoothing method, including 'laplacian','laplacianhc' and 'lowpass' % userbeta: scaler, smoothing parameter, for 'laplacianhc' % % output: % p: output, the smoothed node coordinates % % recommendations % Based on [Bade2006], 'Lowpass' method outperforms 'Laplacian-HC' in volume % preserving and both are significantly better than the standard Laplacian method % % [Bade2006] R. Bade, H. Haase, B. Preim, "Comparison of Fundamental Mesh % Smoothing Algorithms for Medical Surface Models," % Simulation and Visualization, pp. 289-304, 2006. % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % p=node; if(isempty(mask)) nn=size(node,1); idx=1:nn; else idx=find(mask==0)'; nn=length(idx); end alpha=0.5; method='laplacian'; beta=0.5; if(nargin>4) alpha=useralpha; if(nargin>5) method=usermethod; if(nargin>6) beta=userbeta; end end end ibeta=1-beta; ialpha=1-alpha; for i=1:nn if(length(conn{idx(i)})==0) idx(i)=0; end end idx=idx(idx>0); nn=length(idx); if(strcmp(method,'laplacian')) for j=1:iter for i=1:nn p(idx(i),:)=ialpha*p(idx(i),:)+alpha*mean(node(conn{idx(i)},:)); end node=p; end elseif(strcmp(method,'laplacianhc')) for j=1:iter q=p; for i=1:nn p(idx(i),:)=mean(q(conn{idx(i)},:)); end b=p-(alpha*node+ialpha*q); for i=1:nn p(idx(i),:)=p(idx(i),:)-(beta*b(i,:)+ibeta*mean(b(conn{idx(i)},:))); end end elseif(strcmp(method,'lowpass')) beta=-1.02*alpha; ibeta=1-beta; for j=1:iter for i=1:nn p(idx(i),:)=ialpha*node(idx(i),:)+alpha*mean(node(conn{idx(i)},:)); end node=p; for i=1:nn p(idx(i),:)=ibeta *node(idx(i),:)+beta *mean(node(conn{idx(i)},:)); end node=p; end end octave-iso2mesh-1.9.6+ds/surfedge.m0000644001356000007640000000307713724766530016123 0ustar fangqadminfunction [openedge,elemid]=surfedge(f,varargin) % % [openedge,elemid]=surfedge(f) % % find the edge of an open surface or surface of a volume % % author: Qianqian Fang, % date: 2007/11/21 % % input: % f: input, surface face element list, dimension (be,3) % % output: % openedge: list of edges of the specified surface % elemid (optional): the corresponding index of the % tetrahedron of an open-edge or triangle, % elemid has the same length as openedge. % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % if(isempty(f)) openedge=[]; return; end opt=varargin2struct(varargin{:}); findjunc=jsonopt('Junction',0,opt); if(size(f,2)==3) edges=[f(:,[1,2]); f(:,[2,3]); f(:,[3,1])]; % create all the edges elseif(size(f,2)==4) edges=[f(:,[1,2,3]); f(:,[2,1,4]); f(:,[1,3,4]); f(:,[2,4,3])]; % create all the edges else error('surfedge only supports 2D and 3D elements'); end % node4=[f(:,3);f(:,2);f(:,1)]; % node idx concatinated edgesort=sort(edges,2); [foo,ix,jx]=unique(edgesort,'rows'); if(isoctavemesh) u=unique(jx); if(size(f,2)==3 && findjunc) qx=u(hist(jx,u)>2); else qx=u(hist(jx,u)==1); end else vec=histc(jx,1:max(jx)); if(size(f,2)==3 && findjunc) qx=find(vec>2); else qx=find(vec==1); end end openedge=edges(ix(qx),:); if(nargout>=2) [elemid, iy]=ind2sub(size(f),ix(qx)); end % node4=node4(ix(qx)); octave-iso2mesh-1.9.6+ds/surfboolean.m0000644001356000007640000002237413724766530016637 0ustar fangqadminfunction [newnode,newelem,newelem0]=surfboolean(node,elem,varargin) % % [newnode,newelem,newelem0]=surfboolean(node1,elem1,op2,node2,elem2,op3,node3,elem3,...) % % merge two or more triangular meshes and resolve intersecting elements % % author: Qianqian Fang % % input: % node: node coordinates, dimension (nn,3) % elem: triangle surfaces (ne,3) % op: a string of a boolean operator, possible op values include % 'union' or 'or': the outter surface of the union of the enclosed space % 'inter' or 'and': the surface of the domain contained by both meshes % 'diff' or '-': the surface of the domain in mesh 1 excluding that of % mesh 2 % 'all', 'resolve', or 'xor' or '+': the output contains 4 subsurfaces, identified by the 4th % column of newelem: % 1: mesh 1 outside of mesh 2 % 2: mesh 2 outside of mesh 1 % 3: mesh 1 inside of mesh 2 % 4: mesh 2 inside of mesh 1 % you can use newelem(find(mod(newelem(:,4),2)==1),:) to % get mesh 1 cut by mesh 2, or newelem(find(mod(newelem(:,4),2)==0),:) % to get mesh 2 cut by mesh 1; % 'first': combine 1 and 3 from the output of 'all' % 'second': combine 2 and 4 from the output of 'all' % 'self': test for self-intersections; only the first mesh is % tested; other inputs are ignored. % 'remesh': remesh the first input mesh (2nd input mesh is ignored) % 'decouple': separate two shells and make sure there is no intersection; % the input surfaces must be closed and ordered from outer to inner % % if a dash '-' is preceding a command, including % -diff, -union, -isct, -resolve, -first, -second, -xor % a 'remesh' operation is applied to the output mesh to remove poorly shaped % triangles % % output: % newnode: the node coordinates after boolean operations, dimension (nn,3) % newelem: tetrahedral element or surfaces after boolean operations (nn,4) or (nhn,5) % newelem0: when the operator is 'self', return the intersecting % element list in terms of the input node list (experimental) % % example: % % [node1,face1,elem1]=meshabox([0 0 0],[10 10 10],1,1); % [node2,face2,elem2]=meshabox([0 0 0]+5,[10 10 10]+5,1,1); % [newnode,newface]=surfboolean(node1,face1,'union',node2,face2); % plotmesh(newnode,newface); % [newnode,newface]=surfboolean(node1,face1,'-union',node2,face2); % figure; plotmesh(newnode,newface); % [newnode,newface]=surfboolean(node1,face1,'diff',node2,face2); % figure;plotmesh(newnode,newface,'x>5'); % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % allinputs=varargin; opt=struct; if(length(allinputs)>0 && isstruct(allinputs{end})) opt=allinputs{end}; allinputs{end}=[]; end len=length(varargin); newnode=node; newelem=elem; if(len>0 && mod(len,3)~=0) error('you must give operator, node and element in a triplet form'); end try exename=evalin('caller','ISO2MESH_SURFBOOLEAN'); catch try exename=evalin('base','ISO2MESH_SURFBOOLEAN'); catch exename='cork'; end end exesuff=fallbackexeext(getexeext,exename); randseed=hex2dec('623F9A9E'); % "U+623F U+9A9E" if(~isempty(getvarfrom({'caller','base'},'ISO2MESH_RANDSEED'))) randseed=getvarfrom({'caller','base'},'ISO2MESH_RANDSEED'); end for i=1:3:len op=varargin{i}; no=varargin{i+1}; el=varargin{i+2}; opstr=op; if(strcmp(op,'or')) opstr='union'; end if(strcmp(op,'xor')) opstr='all'; end if(strcmp(op,'and')) opstr='isct'; end if(strcmp(op,'-')) opstr='diff'; end if(strcmp(op,'self')) opstr='inter -s'; end if(strcmp(opstr,'all')) opstr='resolve'; end tempsuff='off'; deletemeshfile(mwpath(['pre_surfbool*.' tempsuff])); deletemeshfile(mwpath('post_surfbool.off')); if(strcmp(opstr,'all')) deletemeshfile(mwpath('s1out2.off')); deletemeshfile(mwpath('s1in2.off')); deletemeshfile(mwpath('s2out1.off')); deletemeshfile(mwpath('s2in1.off')); end if(strcmp(op,'decouple')) if(exist('node1','var')==0) node1=node; elem1=elem; newnode(:,4)=1; newelem(:,4)=1; end opstr=[' --decouple-inin 1 --shells 2']; %-q saveoff(node1(:,1:3),elem1(:,1:3),mwpath('pre_decouple1.off')); if(size(no,2)~=3) opstr=['-q --shells ' num2str(no)]; cmd=sprintf('cd "%s" && "%s%s" "%s" %s',mwpath,mcpath('meshfix'),exesuff,... mwpath('pre_decouple1.off'),opstr); else saveoff(no(:,1:3),el(:,1:3),mwpath('pre_decouple2.off')); cmd=sprintf('cd "%s" && "%s%s" "%s" "%s" %s',mwpath,mcpath('meshfix'),exesuff,... mwpath('pre_decouple1.off'),mwpath('pre_decouple2.off'),opstr); end elseif(strcmp(op,'decoupleout')) if(exist('node1','var')==0) node1=node; elem1=elem; newnode(:,4)=1; newelem(:,4)=1; end opstr=[' --decouple-outout 1 --shells 2']; %-q saveoff(node1(:,1:3),elem1(:,1:3),mwpath('pre_decouple1.off')); if(size(no,2)~=3) opstr=['-q --shells ' num2str(no)]; cmd=sprintf('cd "%s" && "%s%s" "%s" %s',mwpath,mcpath('meshfix'),exesuff,... mwpath('pre_decouple1.off'),opstr); else saveoff(no(:,1:3),el(:,1:3),mwpath('pre_decouple2.off')); cmd=sprintf('cd "%s" && "%s%s" "%s" "%s" %s',mwpath,mcpath('meshfix'),exesuff,... mwpath('pre_decouple1.off'),mwpath('pre_decouple2.off'),opstr); end elseif(strcmp(op,'separate')) if(exist('node1','var')==0) node1=node; elem1=elem; newnode(:,4)=1; newelem(:,4)=1; end opstr=[' --shells 2']; %-q saveoff(node1(:,1:3),elem1(:,1:3),mwpath('pre_decouple1.off')); if(size(no,2)~=3) opstr=['-q --shells ' num2str(no)]; cmd=sprintf('cd "%s" && "%s%s" "%s" %s',mwpath,mcpath('meshfix'),exesuff,... mwpath('pre_decouple1.off'),opstr); else saveoff(no(:,1:3),el(:,1:3),mwpath('pre_decouple2.off')); cmd=sprintf('cd "%s" && "%s%s" "%s" "%s" %s',mwpath,mcpath('meshfix'),exesuff,... mwpath('pre_decouple1.off'),mwpath('pre_decouple2.off'),opstr); end elseif(strcmp(op,'remesh')) saveoff(newnode(:,1:3),newelem(:,1:3),mwpath(['pre_surfbool1.' tempsuff])); cmd=sprintf('cd "%s" && "%s%s" %s%s "%s" "%s" -%d',mwpath,mcpath(exename),exesuff,'-',... opstr,mwpath(['pre_surfbool1.' tempsuff]),mwpath('post_surfbool.off'),randseed); else saveoff(newnode(:,1:3),newelem(:,1:3),mwpath(['pre_surfbool1.' tempsuff])); saveoff(no(:,1:3),el(:,1:3),mwpath(['pre_surfbool2.' tempsuff])); cmd=sprintf('cd "%s" && "%s%s" %s%s "%s" "%s" "%s" -%d',mwpath,mcpath(exename),exesuff,'-',... opstr,mwpath(['pre_surfbool1.' tempsuff]),mwpath(['pre_surfbool2.' tempsuff]),mwpath('post_surfbool.off'),randseed); end [status outstr]=system(cmd); if(status~=0 && strcmp(op,'self')==0) error(sprintf('surface boolean command failed:\n%s\nERROR: %s\n',cmd,outstr)); end if(status~=0 && strcmp(op,'self') && ~isempty(strfind(outstr,'(new_ear): assertion failed'))) fprintf(1,'no self-intersection was found! (ignore the above error)\n'); newnode=[]; newelem=[]; newelem0=[]; return; end if(strcmp(opstr,'all')) % tag the 4 piceses of meshes, this tag do not propagate to the next boolean operation [nnode nelem]=readoff(mwpath('s1out2.off')); newelem=[nelem ones(size(nelem,1),1)]; newnode=[nnode ones(size(nnode,1),1)]; [nnode nelem]=readoff(mwpath('s1in2.off')); newelem=[newelem; nelem+size(newnode,1) 3*ones(size(nelem,1),1)]; newnode=[newnode; nnode 3*ones(size(nnode,1),1)]; [nnode nelem]=readoff(mwpath('s2out1.off')); newelem=[newelem; nelem+size(newnode,1) 2*ones(size(nelem,1),1)]; newnode=[newnode; nnode 2*ones(size(nnode,1),1)]; [nnode nelem]=readoff(mwpath('s2in1.off')); newelem=[newelem; nelem+size(newnode,1) 4*ones(size(nelem,1),1)]; newnode=[newnode; nnode 4*ones(size(nnode,1),1)]; elseif(strcmp(op,'decouple')) [newnode,newelem]=readoff(mwpath('pre_decouple1_fixed.off')); %[node1,elem1] %newelem=[newelem;elem1+size(newnode,1) (i+1)*ones(size(elem1,1),1)]; %newnode=[newnode;node1 (i+1)*ones(size(node1,1),1)]; elseif(strcmp(op,'separate')) [newnode,newelem]=readoff(mwpath('pre_decouple1_fixed.off')); elseif(strcmp(op,'decoupleout')) [newnode,newelem]=readoff(mwpath('pre_decouple1_fixed.off')); %[node1,elem1] else [newnode,newelem]=readoff(mwpath('post_surfbool.off')); if(strcmp(op,'self')) fprintf(1,'a total of %d self-intersecting elements were found\n',size(newelem,1)); if(nargout>=3) [found,newelem0]=ismember(newnode,node,'rows'); if(~all(found)) error('self intersecting elements contain new nodes'); end newelem0=newelem0(newelem); end return; end end end octave-iso2mesh-1.9.6+ds/removedupelem.m0000644001356000007640000000076213724766530017166 0ustar fangqadminfunction elem=removedupelem(elem) % % elem=removedupelem(elem) % % remove doubly duplicated (folded) elements % % author: Qianqian Fang, % % input: % elem: list of elements (node indices) % % output: % elem: element list after removing the duplicated elements % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % [el,count1,count2]=unique(sort(elem')','rows'); bins=hist(count2,1:size(elem,1)); cc=bins(count2); elem(find(cc>0&mod(cc,2)==0),:)=[]; octave-iso2mesh-1.9.6+ds/thickenbinvol.m0000644001356000007640000000145113724766530017150 0ustar fangqadminfunction vol=thickenbinvol(vol,layer) % % vol=thickenbinvol(vol,layer) % % thickening a binary volume by a given pixel width % this is similar to bwmorph(vol,'thicken',3) except % this does it in 3d and only does thickening for % non-zero elements (and hopefully faster) % % author: Qianqian Fang, % % input: % vol: a volumetric binary image % layer: number of iterations for the thickenining % % output: % vol: the volume image after the thickening % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % dim=size(vol); dxy=dim(1)*dim(2); fulllen=prod(dim); offs=[1,-1,dim(1),-dim(1),dxy,-dxy]; for i=1:layer idx=find(vol); for j=1:6 idxnew=idx+offs(j); idxnew=idxnew(find(idxnew>0 & idxnew/.gitattributes - *.c filter=rcs-keywords # /.git_filters/rcs-keywords.smudge - copy this file to project # /.git_filters/rcs-keywords.clean - copy companion to project # ~/.gitconfig - add [filter] lines below # # [filter "rcs-keywords"] # clean = .git_filters/rcs-keywords.clean # smudge = .git_filters/rcs-keywords.smudge %f # # Copyright (c) 2009-2011 Turon Technologies, Inc. All rights reserved. $path = shift; $path =~ /.*\/(.*)/; $filename = $1; if (0 == length($filename)) { $filename = $path; } # Need to grab filename and to use git log for this to be accurate. $rev = `git log --date=iso -- | head -n 3`; $rev =~ /^Author:\s*(.*)\s*$/m; $author = $1; $author =~ /\s*(.*)\s*<.*/; $name = $1; $rev =~ /^Date:\s*(.*)\s*$/m; $date = $1; $rev =~ /^commit (.*)$/m; $ident = $1; $shortident = substr($ident,0, 6); while () { s/\$Date(((::)*)[^\$]*)\$/TR("\$Date",$1,$date,$2,"\$")/eo; s/\$Author(((::)*)[^\$]*)\$/TR("\$Author",$1,$author,$2,"\$")/eo; s/\$Id(((::)*)[^\$]*)\$/TR("\$Id",$1,"$filename | $date | $name",$2,"\$")/eo; s/\$File(((::)*)[^\$]*)\$/TR("\$File",$1,$filename,$2,"\$")/eo; s/\$Source(((::)*)[^\$]*)\$/TR("\$Source",$1,$path,$2,"\$")/eo; s/\$Rev(((::)*)[^\$]*)\$/TR("\$Rev",$1,$shortident,$2,"\$")/eo; s/\$Revision(((::)*)[^\$]*)\$/TR("\$Revision",$1,$ident,$2,"\$")/eo; } continue { print or die "-p destination: $!\n"; } sub TR{ my ($pre,$from,$to,$fix,$post)=@_; return $pre.$to.$post if($fix eq ''); $pre.=$fix; if(length($from) % % input: % node: a list of node coordinates (nn x 3) % face: a surface mesh triangle list (ne x 3) % opt: a list of optional parameters, currently surfacenorm supports: % 'Normalize': [1|0] if set to 1, the normal vectors will be % unitary (default) % % output: % snorm: output surface normal vector at each face % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % opt=varargin2struct(varargin{:}); snorm=surfplane(node,face); snorm=snorm(:,1:3); if(getoptkey('Normalize',1,opt)) snorm=snorm./repmat(sqrt(sum(snorm.*snorm,2)),1,3); end octave-iso2mesh-1.9.6+ds/meshanellip.m0000644001356000007640000000403213724766530016610 0ustar fangqadminfunction [node,face,elem]=meshanellip(c0,rr,tsize,maxvol) % % [node,face,elem]=meshanellip(c0,rr,opt) % % create the surface and tetrahedral mesh of an ellipsoid % % author: Qianqian Fang, % % input: % c0: center coordinates (x0,y0,z0) of the ellipsoid % rr: radii of an ellipsoid, % if rr is a scalar, this is a sphere with radius rr % if rr is a 1x3 or 3x1 vector, it specifies the ellipsoid radii [a,b,c] % if rr is a 1x5 or 5x1 vector, it specifies [a,b,c,theta,phi] % where theta and phi are the rotation angles along z and x % axes, respectively. Rotation is applied before translation. % tsize: maximum surface triangle size on the sphere % maxvol: maximu volume of the tetrahedral elements % % output: % node: node coordinates, 3 columns for x, y and z respectively % face: integer array with dimensions of NB x 3, each row represents % a surface mesh face element % elem: integer array with dimensions of NE x 4, each row represents % a tetrahedron; if ignored, only produces the surface % % example: % [node,face,elem]=meshanellip([10,10,-10],[30,20,10,pi/4,pi/4],0.5,0.4); % plotmesh(node,elem,'x>10');axis equal; % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % if(nargin<3) error('you must at least provide c0, rr and tsize, see help for details'); end rr=rr(:)'; if(length(rr)==1) rr=[rr,rr,rr]; elseif(length(rr)==3) % do nothing elseif(length(rr)~=5) error('the number of elements for rr is not correct. see help for details'); end rmax=min(rr(1:3)); if(nargout==3) if(nargin==3) maxvol=tsize*tsize*tsize; end [node,face,elem]=meshunitsphere(tsize/rmax,maxvol/(rmax*rmax*rmax)); else [node,face]=meshunitsphere(tsize/rmax); end node=node*diag(rr(1:3)); if(length(rr)==5) theta=rr(4); phi=rr(5); Rz=[cos(theta) sin(theta) 0;-sin(theta) cos(theta) 0;0 0 1]; Rx=[1 0 0;0 cos(phi) sin(phi);0 -sin(phi) cos(phi)]; node=(Rz*Rx*(node'))'; end node=node+repmat(c0(:)',size(node,1),1); octave-iso2mesh-1.9.6+ds/volmap2mesh.m0000644001356000007640000000201413724766530016542 0ustar fangqadminfunction [node,elem,face]=volmap2mesh(img,ix,iy,iz,elemnum,maxvol,thickness,Amat,Bvec) % % [node,elem,face]=volmap2mesh(img,ix,iy,iz,thickness,elemnum,maxvol,A,B) % % convert a binary volume to tetrahedral mesh followed by an Affine transform % % author: Qianqian Fang (q.fang at neu.edu) % date: 2008/01/12 % % input: % img, ix,iy,iz, elemnum and maxvol: see vol2mesh.m % thickness: scale z-dimension of the mesh to specified thickness, % if thickness==0, scaling is bypassed % Amat: a 3x3 transformation matrix % Bvec: a 3x1 vector % Amat and Bvec maps the image index space to real world coordnate system by % [x,y,z]_new=Amat*[x,y,z]_old+Bvec % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % [node,elem,face]=vol2mesh(img,ix,iy,iz,elemnum,maxvol); node(:,1:3)=(Amat*node(:,1:3)'+repmat(Bvec(:),1,size(node,1)))'; if(thickness) zmin=min(node(:,3)); zmax=max(node(:,3)); node(:,3)=(node(:,3)-zmin)/(zmax-zmin)*thickness; end octave-iso2mesh-1.9.6+ds/regpt2surf.m0000644001356000007640000000722413724766530016420 0ustar fangqadminfunction [A,b,newpos]=regpt2surf(node,elem,p,pmask,A0,b0,cmask,maxiter) % [A,b,newpos]=regpt2surf(node,elem,p,pmask,A0,b0,cmask,maxiter) % Perform point cloud registration to a triangular surface % (surface can be either triangular or cubic), Gauss-Newton method % is used for the calculation % % author: Qianqian Fang % date: 12/12/2008 % % parameters: % node: node coordinate of the surface mesh (nn x 3) % elem: element list of the surface mesh (3 columns for % triangular mesh, 4 columns for cubic surface mesh) % p: points to be registered, 3 columns for x,y and z respectively % pmask: a mask vector with the same length as p, determines the % method to handle the point, if pmask(i)=-1, the point is a free % node and can be move by the optimization, if pmask(i)=0, the % point is fixed; if pmask(i)=n>0, the distance between p(i,:) % and node(n,:) will be part of the object function and be optimized % A0: a 3x3 matrix, as the initial guess for the affine A matrix (rotation&scaling) % b0: a 3x1 vector, as the initial guess for the affine b vector (translation) % cmask: a binary 12x1 vector, determines which element of [A(:);b] will be optimized % if cmask(i)=0, the corresponding coefficient will not be updated % maxiter: a integer, specifying the optimization iterations % % outputs: % A: 3x3 matrix, the updated affine A matrix % b: 3x1 vector, the updated affine b vector % newpos: the registered positions for p, newpos=A*p'+b % % Please find more information at http://iso2mesh.sf.net/cgi-bin/index.cgi?metch % % this function is part of "metch" toobox, see COPYING for license A=A0; b=b0(:); % for simplicity, I wrap A and b into one single vector C C=[A(:);b]; delta=1e-4; newpos=(reshape(C(1:9),3,3)*p'+repmat(C(end-2:end),1,size(p,1)))'; nv=nodesurfnorm(node,elem); clen=length(C); cuplist=find(cmask==1); pfree=find(pmask<0); pfix=find(pmask>0); % start Gauss-Newton iterations for iter=1:maxiter % calculate the current residual: the sum of distances to the surface dist0=zeros(length(pfree)+length(pfix),1); if(~isempty(pfree)) [dist0(pfree),cn0]=dist2surf(node,nv,newpos(pfree,:)); end if(~isempty(pfix)) fixdist=node(pmask(pfix),:)-newpos(pfix,:); dist0(pfix)=sqrt(sum(fixdist.*fixdist,2)); end fprintf('iter=%d error=%f\n',iter,sum(abs(dist0))); % build the Jacobian (sensitivity) matrix J=zeros(length(dist0),length(C)); for i=1:clen if(cmask(i)==0) continue; end dC=C; if(C(i)) dC(i)=C(i)*(1+delta); else dC(i)=C(i)+delta; end newp=(reshape(dC(1:9),3,3)*p'+repmat(dC(end-2:end),1,size(p,1)))'; dist=zeros(length(pfree)+length(pfix),1); if(~isempty(pfree)) if(length(cn0)==length(pfree)) dist(pfree)=dist2surf(node,nv,newp(pfree,:),cn0); else dist(pfree)=dist2surf(node,nv,newp(pfree,:)); end end if(~isempty(pfix)) fixdist=node(pmask(pfix),:)-newp(pfix,:); dist(pfix)=sqrt(sum(fixdist.*fixdist,2)); end % J=dL/dC J(:,i)=(dist-dist0)/(dC(i)-C(i)); end % weight the matrix (normalization) wj=sqrt(sum(J.*J)); J(:,cuplist)=J(:,cuplist)./repmat(wj(cuplist),length(dist0),1); % calculate the update: J*dC=dL dC=(J(:,cuplist)\dist0)./wj(cuplist)'; C(cuplist)=C(cuplist)-0.5*dC; % get the updated positions with the calculated A and b newpos=(reshape(C(1:9),3,3)*p'+repmat(C(end-2:end),1,size(p,1)))'; end A=reshape(C(1:9),3,3); b=C(end-2:end); octave-iso2mesh-1.9.6+ds/savevrml.m0000644001356000007640000000235413724766530016153 0ustar fangqadminfunction savevrml(node,face,elem,fname) % % savevrml(node,face,elem,fname) % % save a surface mesh to VRML 1.0 format % % author: Qianqian Fang, % date: 2010/04/25 % % input: % node: input, surface node list, dimension (nn,3) % face: input, surface face element list, dimension (be,3) % elem: input, tetrahedral element list, dimension (ne,4) % fname: output file name % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % if(nargin==2) fname=face; face=[]; elem=[]; end if(nargin==3) fname=elem; elem=[]; end fid=fopen(fname,'wt'); if(fid==-1) error('You do not have permission to save mesh files.'); end fprintf(fid,'#VRML V1.0 ascii\n#Generated by iso2mesh (http://iso2mesh.sf.net)\n'); fprintf(fid,'Separator {\nSwitch {\n\tDEF %s\n\tSeparator {\n',fname); if(~isempty(node)) node=node(:,1:3); fprintf(fid,'\t\tCoordinate3 {\n\t\t\tpoint [\n'); fprintf(fid,'%.16f %.16f %.16f,\n',node'); fprintf(fid,'\t\t\t]\n\t\t}\n'); end if(~isempty(face)) face=face(:,1:3); fprintf(fid,'\t\tIndexedFaceSet {\n\t\t\tcoordIndex [\n'); fprintf(fid,'%d %d %d -1\n',(face-1)'); fprintf(fid,'\t\t\t]\n\t\t}\n'); end fprintf(fid,'\t} # Separator\n}\n}\n'); fclose(fid); octave-iso2mesh-1.9.6+ds/remeshsurf.m0000644001356000007640000000434213724766530016476 0ustar fangqadminfunction [newno,newfc]=remeshsurf(node,face,opt) % % [newno,newfc]=remeshsurf(node,face,opt) % % remesh a triangular surface and the output is guaranteed to be % free of self-intersecting element. This function is similar to % meshresample, but it can both downsample or upsample a mesh % % author: Qianqian Fang (q.fang at neu.edu) % % input: % node: list of nodes on the input suface mesh, 3 columns for x,y,z % face: list of trianglular elements on the surface, [n1,n2,n3,region_id] % opt: function parameters % opt.gridsize: resolution for the voxelization of the mesh % opt.closesize: if there are openings, set the closing diameter % opt.elemsize: the size of the element of the output surface % if opt is a scalar, it defines the elemsize and gridsize=opt/4 % % output: % newno: list of nodes on the resulting suface mesh, 3 columns for x,y,z % newfc: list of trianglular elements on the surface, [n1,n2,n3,region_id] % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % p0=min(node); p1=max(node); if(isstruct(opt)) if(isfield(opt,'gridsize')) dx=opt.gridsize; end else dx=opt/4; end %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % step 1: convert the old surface to a volumetric image %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% img=surf2vol(node,face,p0(1)-dx:dx:p1(1)+dx,p0(2)-dx:dx:p1(2)+dx,p0(3)-dx:dx:p1(3)+dx); eg=surfedge(face); closesize=0; if(~isempty(eg) && isstruct(opt)) if(isfield(opt,'closesize')) closesize=opt.closesize; end end %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % step 2: fill holes in the volumetric binary image %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% img=fillholes3d(img,closesize); %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % step 3: convert the filled volume to a new surface %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% if(isstruct(opt)) if(isfield(opt,'elemsize')) opt.radbound=opt.elemsize/dx; [newno,newfc]=v2s(img,0.5,opt,'cgalsurf'); end else opt=struct('radbound',opt/dx); [newno,newfc]=v2s(img,0.5,opt,'cgalsurf'); end newno(:,1:3)=newno(:,1:3)*dx; newno(:,1)=newno(:,1)+p0(1); newno(:,2)=newno(:,2)+p0(2); newno(:,3)=newno(:,3)+p0(3); octave-iso2mesh-1.9.6+ds/metchgui.m0000644001356000007640000004406213724766530016123 0ustar fangqadminfunction varargout = metchgui(varargin) % alldata = metchgui(node,elem,points,pface) or metchgui(volume,points,pface) % % A GUI to register a point cloud to a mesh or volumetric image % % author: Qianqian Fang % date: 12/16/2008 % % parameters: % node: node coordinate of the surface mesh (nn x 3) % elem: element list of the surface mesh (3 columns for % triangular mesh, 4 columns for cubic surface mesh) % points: the coordinates (3 columns for x/y/z) of the % point cloud which you want to register % pface:trianglular surface defined on the point cloud. % pface is optional; if presents, metch will display % a surface object instead of a point cloud. % % the input can also be two parameters in form of metchgui(volume,points), % where volume is a 3D image (array). % % outputs: % alldata: a structrure containing all processing outputs % the fields include: % .node: the input node % .elem: the input surface mesh elements % .volume: if the input volumetric image % .A0: the affine rotation for selected point pairs (after Initialize) % .b0: the affine translation for selected point pairs (after Initialize) % .A: the affine rotation for the point cloud (after Optimize) % .b: the affine translation for the point cloud (after Optimize) % .points: the input point cloud % .pointsinit: the point cloud after initialization % .pointsopt: the point cloud after optimization % .pointsproj: the point cloud after projecting to the surface % .initplot: the handle to the point cloud plot after init % .optplot: the handle to the point cloud plot after optimization % .projplot: the handle to the point cloud plot after projection % % If user supplys an output variable, the GUI will not return until the % user hits the "close" button or close the window; if user does not % supply any output, the call will return immediately; any data user % intends to save, he has to click on "Save Session" button and provides % a mat-file file name. A single structure named "metchsession" will be % stored in this file. % % example: (meshasphere/meshunitsphere are defined in iso2mesh http://iso2mesh.sf.net) % % [noderef,faceref,elemref]=meshunitsphere(0.08,10); % [no,fc]=removeisolatednode(noderef(:,1:3),faceref(:,1:3)); % [node,face,elem]=meshasphere([10 20 15],3,0.5,10); % [no2,fc2]=removeisolatednode(node(:,1:3),face(:,1:3)); % alldata = metchgui(no,fc,no2); % % or alldata = metchgui(no,fc,no2,fc2); % % Please find more information at http://iso2mesh.sf.net/cgi-bin/index.cgi?metch % % this function is part of "metch" toobox, see COPYING for license % Begin initialization code - DO NOT EDIT gui_Singleton = 1; gui_State = struct('gui_Name', mfilename, ... 'gui_Singleton', gui_Singleton, ... 'gui_OpeningFcn', @metchgui_OpeningFcn, ... 'gui_OutputFcn', @metchgui_OutputFcn, ... 'gui_LayoutFcn', [] , ... 'gui_Callback', []); if nargin && ischar(varargin{1}) gui_State.gui_Callback = str2func(varargin{1}); end if nargout [varargout{1:nargout}] = gui_mainfcn(gui_State, varargin{:}, 'hasoutput'); else gui_mainfcn(gui_State, varargin{:}); end % End initialization code - DO NOT EDIT % --- Executes just before metchgui is made visible. function metchgui_OpeningFcn(hObject, eventdata, handles, varargin) handles.hasoutput=0; if(isempty(varargin)) fprintf(1,'Metch GUI must be called with parameters:\nFormat: alldata = metchgui(node,elem,points,pface);\n'); close(handles.MetchGUI); return; end if(ischar(varargin{end}) && strcmp(varargin{end},'hasoutput')) handles.hasoutput=1; varargin(end)=[]; end handles.output = hObject; set(handles.btAddMeshPt,'userdata',[handles.axMesh,handles.btAddMeshPt,handles.btAddCloudPt]); set(handles.btAddCloudPt,'userdata',[handles.axMesh,handles.btAddCloudPt,handles.btAddMeshPt]); % if uses supplied 2 input variables, assume a volume image and a point cloud if(isnumeric(varargin{1}) && length(size(varargin{1}))==3) vol=varargin{1}; pt=varargin{2}; dat.volume=vol; dat.points=pt; slice=round(size(vol,3)/2); hs=imagesc(vol(:,:,slice),'parent',handles.axMesh); set(handles.slPos,'max',size(vol,3),'min',1,'value',slice); if(length(varargin)>=3) pface=varargin{3}; dat.pface=pface; trisurf(pface(:,1:3),pt(:,1),pt(:,2),pt(:,3),'parent',handles.axPoints); else %plot3(pt(:,1),pt(:,2),pt(:,3),'.','parent',handles.axPoints); ptcolor=(pt-repmat(min(pt),size(pt,1),1))./repmat(max(pt)-min(pt),size(pt,1),1); drawnow; scatter3(pt(:,1),pt(:,2),pt(:,3),3,ptcolor,'filled'); end set(handles.MetchGUI,'userdata',dat); axis(handles.axMesh,'equal'); axis(handles.axPoints,'equal'); axis(handles.axMesh,'off'); grid(handles.axPoints,'on'); %axis(handles.axPoints,'off'); set(handles.axMesh,'tag','axMesh'); set(handles.axPoints,'tag','axPoints'); set(handles.slPos,'visible','on'); set(handles.lbZPos,'visible','on'); rotate3d(handles.axPoints,'on'); rotate3d(gcf,'on'); end % if uses supplied 3 input variables, assume a surface mesh and a point cloud/surface if(length(varargin)>=3 && length(size(varargin{1}))==2) node=varargin{1}; elem=varargin{2}; pt=varargin{3}; dat.node=node; dat.elem=elem; dat.points=pt; if(length(varargin)>=4) pface=varargin{4}; dat.pface=pface; end set(handles.MetchGUI,'userdata',dat); drawinit(handles,dat) end guidata(hObject, handles); if(handles.hasoutput) uiwait(handles.MetchGUI); end %--------------------------------------------------------------------------- function drawinit(handles,dat) node=dat.node; elem=dat.elem; pt=dat.points; hs=trisurf(elem,node(:,1),node(:,2),node(:,3),'parent',handles.axMesh); %set(hs,'linestyle','none'); %set(hs,'facecolor','b','facealpha',0.8); %plot3(pt(:,1),pt(:,2),pt(:,3),'.','parent',handles.axPoints); if(~isfield(dat,'pface')) ptcolor=(pt-repmat(min(pt),size(pt,1),1))./repmat(max(pt)-min(pt),size(pt,1),1); drawnow; scatter3(pt(:,1),pt(:,2),pt(:,3),3,ptcolor,'filled'); else trisurf(dat.pface,pt(:,1),pt(:,2),pt(:,3),'parent',handles.axPoints); end %hold(handles.axPoints,'on'); %plot3(pt(5:7,1),pt(5:7,2),pt(5:7,3),'ro','parent',handles.axPoints); axis(handles.axMesh,'equal'); axis(handles.axPoints,'equal'); axis(handles.axMesh,'off'); %axis(handles.axPoints,'off'); set(handles.axMesh,'tag','axMesh'); set(handles.axPoints,'tag','axPoints'); rotate3d(handles.axPoints,'on'); rotate3d(handles.axMesh,'on'); rotate3d(gcf,'on'); %--------------------------------------------------------------------------- function varargout = metchgui_OutputFcn(hObject, eventdata, handles) if(length(handles) && isfield(handles,'output') && isfield(handles,'hasoutput') && handles.hasoutput) handles.output=get(handles.MetchGUI,'userdata'); varargout{1} =handles.output; close(handles.MetchGUI); end %--------------------------------------------------------------------------- function lbMesh_CreateFcn(hObject, eventdata, handles) if ispc && isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor')) set(hObject,'BackgroundColor','white'); end %--------------------------------------------------------------------------- function lbPoints_CreateFcn(hObject, eventdata, handles) if ispc && isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor')) set(hObject,'BackgroundColor','white'); end %--------------------------------------------------------------------------- function edit1_CreateFcn(hObject, eventdata, handles) if ispc && isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor')) set(hObject,'BackgroundColor','white'); end %--------------------------------------------------------------------------- function edit2_CreateFcn(hObject, eventdata, handles) if ispc && isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor')) set(hObject,'BackgroundColor','white'); end %--------------------------------------------------------------------------- function edit3_CreateFcn(hObject, eventdata, handles) if ispc && isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor')) set(hObject,'BackgroundColor','white'); end %--------------------------------------------------------------------------- function isSelect_Callback(hObject, eventdata, handles) if(get(hObject,'Value')) datacursormode(gcf,'on'); set(datacursormode(gcf),'UpdateFcn',@myupdatefcn) else datacursormode(gcf,'off'); rotate3d(gcf,'on'); end %--------------------------------------------------------------------------- % the respond function when there is a data-tip to popup %--------------------------------------------------------------------------- function txt=myupdatefcn(empt,event_obj) pos = get(event_obj,'Position'); idx= get(event_obj,'DataIndex'); if(length(pos)==3) txt = {['x: ',num2str(pos(1))],... ['y: ',num2str(pos(2))],['z: ',num2str(pos(3))],['index:', num2str(idx)]}; elseif(length(pos)==2) txt = {['x: ',num2str(pos(1))],['y: ',num2str(pos(2))]}; end targetup=get(get(event_obj,'Target'),'parent'); set(targetup,'userdata',struct('pos',pos,'idx',idx)); if(targetup==findobj('tag','axMesh')) set(findobj('tag','btAddMeshPt'),'enable','on'); set(findobj('tag','btAddCloudPt'),'enable','off'); elseif(targetup==findobj('tag','axPoints')) set(findobj('tag','btAddMeshPt'),'enable','off'); set(findobj('tag','btAddCloudPt'),'enable','on'); end %--------------------------------------------------------------------------- function bInit_Callback(hObject, eventdata, handles) mapto=get(handles.lbMesh,'userdata'); mapfrom=get(handles.lbPoints,'userdata'); maptoidx=get(handles.txMapTo,'userdata'); mapfromidx=get(handles.txMapFrom,'userdata'); if(length(mapto)<4 | length(mapfrom)<4) msgbox('You have to select >3 points from the point cloud plot and corresponding points from the mesh','Error','error'); return; end [A,b]=affinemap(mapfrom,mapto) dat=get(handles.MetchGUI,'userdata'); dat.A0=A; dat.b0=b; newpt=(A*dat.points'+repmat(b(:),1,size(dat.points,1)))'; dat.pointsinit=newpt; hold(handles.axMesh,'on'); if(isfield(dat,'initplot')) delete dat.initplot; dat.initplot=0; end dat.initplot=plot3(newpt(:,1),newpt(:,2),newpt(:,3),'r.','parent',handles.axMesh); dat.fromidx=mapfromidx; dat.toidx=maptoidx; set(handles.MetchGUI,'userdata',dat); %--------------------------------------------------------------------------- function axPoints_ButtonDownFcn(hObject, eventdata, handles) if(get(handles.btSelect,'value')==1) pp=getCursorInfo(datacursormode(gcf)); str=[get(handles.lbPoints,'string');mat2str(pp.Position)]; set(handles.lbPoints,'string',str); end %--------------------------------------------------------------------------- function addselectedpt(pos,idx,lb) if(isempty(get(lb,'value'))) set(lb,'value',1); end listpt=get(lb,'string'); listpt{end+1}=[num2str(idx) ':' mat2str(pos)]; set(lb,'string',listpt); set(lb,'userdata',[get(lb,'userdata');pos]); %--------------------------------------------------------------------------- function btAddMeshPt_Callback(hObject, eventdata, handles) dat=get(handles.axMesh,'userdata'); dat0=get(handles.MetchGUI,'userdata'); if(isfield(dat0,'volume')) dat.pos(:,3)=get(handles.slPos,'value'); end if(isfield(dat,'pos')) addselectedpt(dat.pos,dat.idx,handles.lbMesh); set(handles.txMapTo,'userdata',[get(handles.txMapTo,'userdata');dat.idx]); dat0.mapto=get(handles.lbMesh,'userdata'); dat0.maptoidx=get(handles.txMapTo,'userdata'); set(handles.MetchGUI,'userdata',dat0); else msgbox('No point was selected. Please click on "Select" and select a point on the mesh or point cloud','Error','error'); return; end %--------------------------------------------------------------------------- function btAddCloudPt_Callback(hObject, eventdata, handles) dat=get(handles.axPoints,'userdata'); dat0=get(handles.MetchGUI,'userdata'); if(isfield(dat,'pos')) addselectedpt(dat.pos,dat.idx,handles.lbPoints); set(handles.txMapFrom,'userdata',[get(handles.txMapFrom,'userdata');dat.idx]); dat0.mapfrom=get(handles.lbPoints,'userdata'); dat0.mapfromidx=get(handles.txMapFrom,'userdata'); set(handles.MetchGUI,'userdata',dat0); else msgbox('No point was selected. Please click on "Select" and select a point on the mesh or point cloud','Error','error'); return; end %--------------------------------------------------------------------------- function btOptimize_Callback(hObject, eventdata, handles) dat=get(handles.MetchGUI,'userdata'); if(isfield(dat,'A0') && isfield(dat,'b0')& isfield(dat,'node')& isfield(dat,'elem')& ... isfield(dat,'pointsinit')& isfield(dat,'toidx')& isfield(dat,'fromidx')) pmask=-1*ones(size(dat.pointsinit,1),1); pmask(dat.fromidx)=dat.toidx; if(isfield(dat,'A') && isfield(dat,'b')) [Anew,bnew,posnew]=regpt2surf(dat.node,dat.elem,dat.points,pmask,dat.A,dat.b,ones(12,1),20); else [Anew,bnew,posnew]=regpt2surf(dat.node,dat.elem,dat.points,pmask,dat.A0,dat.b0,ones(12,1),20); end dat.A=Anew; dat.b=bnew; dat.pointsopt=posnew; if(isfield(dat,'optplot') && dat.optplot) delete dat.optplot; dat.optplot=0; end dat.optplot=plot3(posnew(:,1),posnew(:,2),posnew(:,3),'g+','parent',handles.axMesh); else msgbox('You have to select 4 points and click "Initialize" button first','Error','error'); return; end set(handles.MetchGUI,'userdata',dat); %--------------------------------------------------------------------------- function slPos_Callback(hObject, eventdata, handles) dat=get(handles.MetchGUI,'userdata'); if(isfield(dat,'volume')) hold(handles.axMesh,'off'); imagesc(dat.volume(:,:,round(get(hObject,'value'))),'parent',handles.axMesh); set(handles.axMesh,'tag','axMesh'); set(handles.lbZPos,'string',num2str(round(get(hObject,'value')))); end set(handles.MetchGUI,'userdata',dat); %--------------------------------------------------------------------------- function slPos_CreateFcn(hObject, eventdata, handles) if isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor')) set(hObject,'BackgroundColor',[.9 .9 .9]); end %-------------------------------------------------------------------------- function btProj_Callback(hObject, eventdata, handles) dat=get(handles.MetchGUI,'userdata'); if(isfield(dat,'pointsopt')) if(isfield(dat,'projplot') && dat.projplot) delete dat.projplot; dat.projplot=0; end nv=nodesurfnorm(dat.node,dat.elem); [d2surf,cn]=dist2surf(dat.node,nv,dat.pointsopt); [dat.pointsproj dat.elemid dat.weight]=proj2mesh(dat.node,dat.elem,dat.pointsopt,nv,cn); hold(handles.axMesh,'on'); dat.projplot=plot3(dat.pointsproj(:,1),dat.pointsproj(:,2),dat.pointsproj(:,3),'c.','parent',handles.axMesh); else msgbox('You have to first select 4 points, then click "Initialize" and "Optimize" button','Error','error'); return; end set(handles.MetchGUI,'userdata',dat); %-------------------------------------------------------------------------- function btSaveRes_Callback(hObject, eventdata, handles) [filename, pathname] = uiputfile('*.mat', 'Save Metch Workspace as'); mapto=get(handles.lbMesh,'userdata'); mapfrom=get(handles.lbPoints,'userdata'); maptoidx=get(handles.txMapTo,'userdata'); mapfromidx=get(handles.txMapFrom,'userdata'); metchsession=get(handles.MetchGUI,'userdata'); if(~isempty(mapto)) metchsession.mapto=mapto; end if(~isempty(mapfrom)) metchsession.mapfrom=mapfrom; end if(~isempty(maptoidx)) metchsession.maptoidx=maptoidx; end if(~isempty(mapfromidx)) metchsession.mapfromidx=mapfromidx; end fname=[pathname filename]; save(fname,'metchsession'); %-------------------------------------------------------------------------- function btLoadSession_Callback(hObject, eventdata, handles) [filename, pathname] = uigetfile('*.mat', 'Load Metch Workspace from'); fname=[pathname filename]; load(fname); handle.output=metchsession; cla(handles.axMesh); cla(handles.axPoints); drawinit(handles,metchsession.node,metchsession.elem,metchsession.points); %-------------------------------------------------------------------------- function btPlotResults_Callback(hObject, eventdata, handles) function btClose_Callback(hObject, eventdata, handles) guidata(hObject,handles); uiresume; function btHelp_Callback(hObject, eventdata, handles) helpmsg={ 'Metch GUI: A mesh/volume registration toolbox', '', 'Author: Qianqian Fang ', ' Martinos Center for Biomedical Imaging', ' Charlestown, MA 02129, USA', '', '== Description of the workflow ==', '', ' 1. when the GUI pops up, it will display the mesh and the points,', ' you can rotate both plots so that you can identify the matching ', ' features', ' 2. switch on "Select" mode, then, click on a land-mark point on the point', ' plot, when a data-tip shows up, click "Add Selected" button', ' 3. click on the corresponding position on the mesh, and click', ' "Add Selected" ', ' 4. repeat the above for at least 4 point pairs (you can select more);', ' if you want to change views, switch off "Select" box and rotate;', ' after rotation, switch on "Select" box again', ' 5. click "Initialize": this will create the initial mapping using the', ' selected point pairs', ' 6. click "Optimize": this will fit the surface with the whole point cloud', ' 7. click "Proj2Mesh": this will project the fitted point clouds onto the', ' mesh', ' 8. you can quit the GUI by hit "Close", your results will be saved to reg', ' 9. close the window '}; helpdlg(helpmsg); octave-iso2mesh-1.9.6+ds/niiformat.m0000644001356000007640000002120613724766530016301 0ustar fangqadminfunction niiheader=niiformat(format) % % niiheader=niiformat(format) % % Return a NIfTI header format descriptor as an Nx3 cell array % % author: Qianqian Fang (q.fang neu.edu) % % input: % format:'nifti1' - return the header descriptor for NIfTI-1 format % 'nifti2' - return the header descriptor for NIfTI-2 format % % output: % niiheader: an Nx3 cell array in the format similar to the 'Format' % specifier of the memmapfile.m function in MATLAB % It has the following structure: % % column 1: data type string, it can be one of the following % 'int8','int16','int32','int64', % 'uint8','uint16','uint32','uint64', % 'single','double' % column 2: an integer vector denoting the size of the data % column 3: a string denoting the fieldname in the output struct % % this file is part of JNIfTI specification: https://github.com/fangq/jnifti % % License: Apache 2.0, see https://github.com/fangq/jnifti for details % header.nifti1={ ... 'int32' [1 1] 'sizeof_hdr' ; %!< MUST be 348 % % int sizeof_hdr; % ... 'int8' [1 10] 'data_type' ; %!< ++UNUSED++ % % char data_type[10]; % ... 'int8' [1 18] 'db_name' ; %!< ++UNUSED++ % % char db_name[18]; % ... 'int32' [1 1] 'extents' ; %!< ++UNUSED++ % % int extents; % ... 'int16' [1 1] 'session_error' ; %!< ++UNUSED++ % % short session_error; % ... 'int8' [1 1] 'regular' ; %!< ++UNUSED++ % % char regular; % ... 'int8' [1 1] 'dim_info' ; %!< MRI slice ordering. % % char hkey_un0; % ... 'uint16' [1 8] 'dim' ; %!< Data array dimensions.% % short dim[8]; % ... 'single' [1 1] 'intent_p1' ; %!< 1st intent parameter. % % short unused8/9; % ... 'single' [1 1] 'intent_p2' ; %!< 2nd intent parameter. % % short unused10/11; % ... 'single' [1 1] 'intent_p3' ; %!< 3rd intent parameter. % % short unused12/13; % ... 'int16' [1 1] 'intent_code' ; %!< NIFTI_INTENT_* code. % % short unused14; % ... 'int16' [1 1] 'datatype' ; %!< Defines data type! % % short datatype; % ... 'int16' [1 1] 'bitpix' ; %!< Number bits/voxel. % % short bitpix; % ... 'int16' [1 1] 'slice_start' ; %!< First slice index. % % short dim_un0; % ... 'single' [1 8] 'pixdim' ; %!< Grid spacings. % % float pixdim[8]; % ... 'single' [1 1] 'vox_offset' ; %!< Offset into .nii file % % float vox_offset; % ... 'single' [1 1] 'scl_slope' ; %!< Data scaling: slope. % % float funused1; % ... 'single' [1 1] 'scl_inter' ; %!< Data scaling: offset. % % float funused2; % ... 'int16' [1 1] 'slice_end' ; %!< Last slice index. % % float funused3; % ... 'int8' [1 1] 'slice_code' ; %!< Slice timing order. % ... 'int8' [1 1] 'xyzt_units' ; %!< Units of pixdim[1..4] % ... 'single' [1 1] 'cal_max' ; %!< Max display intensity % % float cal_max; % ... 'single' [1 1] 'cal_min' ; %!< Min display intensity % % float cal_min; % ... 'single' [1 1] 'slice_duration'; %!< Time for 1 slice. % % float compressed; % ... 'single' [1 1] 'toffset' ; %!< Time axis shift. % % float verified; % ... 'int32' [1 1] 'glmax' ; %!< ++UNUSED++ % % int glmax; % ... 'int32' [1 1] 'glmin' ; %!< ++UNUSED++ % % int glmin; % ... 'int8' [1 80] 'descrip' ; %!< any text you like. % % char descrip[80]; % ... 'int8' [1 24] 'aux_file' ; %!< auxiliary filename. % % char aux_file[24]; % ... 'int16' [1 1] 'qform_code' ; %!< NIFTI_XFORM_* code. % %-- all ANALYZE 7.5 --- % ... 'int16' [1 1] 'sform_code' ; %!< NIFTI_XFORM_* code. % %below here are replaced% ... 'single' [1 1] 'quatern_b' ; %!< Quaternion b param. % ... 'single' [1 1] 'quatern_c' ; %!< Quaternion c param. % ... 'single' [1 1] 'quatern_d' ; %!< Quaternion d param. % ... 'single' [1 1] 'qoffset_x' ; %!< Quaternion x shift. % ... 'single' [1 1] 'qoffset_y' ; %!< Quaternion y shift. % ... 'single' [1 1] 'qoffset_z' ; %!< Quaternion z shift. % ... 'single' [1 4] 'srow_x' ; %!< 1st row affine transform. % ... 'single' [1 4] 'srow_y' ; %!< 2nd row affine transform. % ... 'single' [1 4] 'srow_z' ; %!< 3rd row affine transform. % ... 'int8' [1 16] 'intent_name' ; %!< 'name' or meaning of data. % ... 'int8' [1 4] 'magic' ; %!< MUST be "ni1\0" or "n+1\0". % ... 'int8' [1 4] 'extension' %!< header extension % ... }; header.nifti2={ ... 'int32' [1 1] 'sizeof_hdr' ; %!< MUST be 540 % % int sizeof_hdr; % ... 'int8' [1 8] 'magic' ; %!< MUST be "ni2\0" or "n+2\0". % ... 'int16' [1 1] 'datatype' ; %!< Defines data type! % % short datatype; % ... 'int16' [1 1] 'bitpix' ; %!< Number bits/voxel. % % short bitpix; % ... 'int64' [1 8] 'dim' ; %!< Data array dimensions.% % short dim[8]; % ... 'double' [1 1] 'intent_p1' ; %!< 1st intent parameter. % % short unused8/9; % ... 'double' [1 1] 'intent_p2' ; %!< 2nd intent parameter. % % short unused10/11; % ... 'double' [1 1] 'intent_p3' ; %!< 3rd intent parameter. % % short unused12/13; % ... 'double' [1 8] 'pixdim' ; %!< Grid spacings. % % float pixdim[8]; % ... 'int64' [1 1] 'vox_offset' ; %!< Offset into .nii file % % float vox_offset; % ... 'double' [1 1] 'scl_slope' ; %!< Data scaling: slope. % % float funused1; % ... 'double' [1 1] 'scl_inter' ; %!< Data scaling: offset. % % float funused2; % ... 'double' [1 1] 'cal_max' ; %!< Max display intensity % % float cal_max; % ... 'double' [1 1] 'cal_min' ; %!< Min display intensity % % float cal_min; % ... 'double' [1 1] 'slice_duration'; %!< Time for 1 slice. % % float compressed; % ... 'double' [1 1] 'toffset' ; %!< Time axis shift. % % float verified; % ... 'int64' [1 1] 'slice_start' ; %!< First slice index. % % short dim_un0; % ... 'int64' [1 1] 'slice_end' ; %!< Last slice index. % % float funused3; % ... 'int8' [1 80] 'descrip' ; %!< any text you like. % % char descrip[80]; % ... 'int8' [1 24] 'aux_file' ; %!< auxiliary filename. % % char aux_file[24]; % ... 'int32' [1 1] 'qform_code' ; %!< NIFTI_XFORM_* code. % %-- all ANALYZE 7.5 --- % ... 'int32' [1 1] 'sform_code' ; %!< NIFTI_XFORM_* code. % %below here are replaced% ... 'double' [1 1] 'quatern_b' ; %!< Quaternion b param. % ... 'double' [1 1] 'quatern_c' ; %!< Quaternion c param. % ... 'double' [1 1] 'quatern_d' ; %!< Quaternion d param. % ... 'double' [1 1] 'qoffset_x' ; %!< Quaternion x shift. % ... 'double' [1 1] 'qoffset_y' ; %!< Quaternion y shift. % ... 'double' [1 1] 'qoffset_z' ; %!< Quaternion z shift. % ... 'double' [1 4] 'srow_x' ; %!< 1st row affine transform. % ... 'double' [1 4] 'srow_y' ; %!< 2nd row affine transform. % ... 'double' [1 4] 'srow_z' ; %!< 3rd row affine transform. % ... 'int32' [1 1] 'slice_code' ; %!< Slice timing order. % ... 'int32' [1 1] 'xyzt_units' ; %!< Units of pixdim[1..4] % ... 'int32' [1 1] 'intent_code' ; %!< NIFTI_INTENT_* code. % % short unused14; % ... 'int8' [1 16] 'intent_name' ; %!< 'name' or meaning of data. % ... 'int8' [1 1] 'dim_info' ; %!< MRI slice ordering. % % char hkey_un0; % ... 'int8' [1 15] 'reserved' %!< unused buffer % ... 'int8' [1 4] 'extension' %!< header extension % ... }; if(nargin<1) format='nifti1'; end format=lower(format); if(isfield(header,format)) niiheader=header.(format); else error('format must be either nifti1 or nifti2'); endoctave-iso2mesh-1.9.6+ds/extractloops.m0000644001356000007640000000451613724766530017045 0ustar fangqadminfunction loops=extractloops(edges) % % loops=extractloops(edges) % % extract individual loop or polyline segment from a collection of edges % % author: Qianqian Fang, % date: 2007/11/21 % % input: % edges: two column matrix recording the starting/ending % points of all edge segments % % output: % loops: output, a single vector separated by NaN, each segment % is a 3D polyline or loop consisted of node IDs % % example: % edges=[1 2;2 3;1 4;3 4;7 3;1 9;5 6;6 7;10 9; 8 10;1 8;9 3;11 11;11 12]; % loops=extractloops(edges) % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % loops=[]; edges(edges(:,1)==edges(:,2),:)=[]; % remove degenerated edges loops=[loops,edges(1,:)]; loophead=edges(1,1); loopend=edges(1,end); edges(1,:)=[]; while(~isempty(edges)) idx=[find(edges(:,1)==loopend)',find(edges(:,2)==loopend)']; if(length(idx)>1) % when a node with multiple connection found idx=idx(1); % take the first connection and continue end if(isempty(idx)) % when an open-line segment gets to one end % when both open ends are found if(isempty([find(edges(:,1)==loophead)',find(edges(:,2)==loophead)'])) loops=[loops,nan]; loops=[loops,edges(1,:)]; loophead=edges(1,1); loopend=edges(1,end); edges(1,:)=[]; else % only the first open end is found, flip and trace the other [loophead, loopend]=deal(loopend, loophead); lp=fliplr(loops); seg=find(isnan(lp),1); if(isempty(seg)) loops=lp; else loops=[loops(1:end-seg(1)+1) lp(1:seg(1)-1)]; end end continue; end if(length(idx)==1) % tracing along a single line thread idx=idx(1); ed=edges(idx,:); ed(ed==loopend)=[]; newend=ed(1); if(newend==loophead) % when a loop is found loops=[loops loophead nan]; edges(idx,:)=[]; if(size(edges,1)==0) break; end loops=[loops,edges(1,:)]; loophead=edges(1,1); loopend=edges(1,end); edges(1,:)=[]; continue; else loops=[loops,newend]; end loopend=newend; edges(idx,:)=[]; end end octave-iso2mesh-1.9.6+ds/nifticreate.m0000644001356000007640000000310513724766530016604 0ustar fangqadminfunction header=nifticreate(img,format) % % header=nifticreate(img) % or % header=nifticreate(img,format) % % Create a default NIfTI header % % author: Qianqian Fang (q.fang neu.edu) % % input: % img: the image data matching the header % format: can only be 'nifti1'. can be ignored % % output: % header: a struct that is byte-wise compatible with NIfTI-1 % % this file is part of JNIfTI specification: https://github.com/fangq/jnifti % % License: Apache 2.0, see https://github.com/fangq/jnifti for details % if(nargin<2) format='nifti1'; end datatype=struct('int8',256,'int16',4,'int32',8,'int64',1024,'uint8',2,'uint16',512,'uint32',768,'uint64',1280,'single',16,'double',64); if(strcmp(format,'nifti1')) headerlen=348; else headerlen=540; end header=memmapstream(uint8(zeros(1,headerlen+4)),niiformat(format)); header.sizeof_hdr=cast(headerlen, class(header.sizeof_hdr)); header.datatype=cast(datatype.(class(img)), class(header.datatype)); header.dim(1:end)=cast(1,class(header.dim)); header.dim(1:ndims(img)+1)=cast([ndims(img),size(img)], class(header.dim)); header.pixdim(1:ndims(img)+1)=cast(1, class(header.pixdim)); header.vox_offset=cast(headerlen+4, class(header.vox_offset)); if(header.sizeof_hdr==540) header.magic(1:3)=cast('ni2',class(header.magic)); else header.magic(1:3)=cast('ni1',class(header.magic)); end header.srow_x(1)=cast(1, class(header.srow_x)); header.srow_y(2)=cast(1, class(header.srow_y)); header.srow_z(3)=cast(1, class(header.srow_z)); header.sform_code=cast(1, class(header.sform_code)); octave-iso2mesh-1.9.6+ds/rotatevec3d.m0000644001356000007640000000170313724766530016534 0ustar fangqadminfunction newpt=rotatevec3d(pt,v1,u1,p0) % % newpt=rotatevec3d(pt,v1,u1,p0) % % rotate 3D points from one Cartesian coordinate system to another % % author: Qianqian Fang, % % input: % pt: 3D points defined in a standard Cartesian system where a unitary % z-vector is (0,0,1), 3 columns for x, y and z % v1: the unitary z-vector for the target coordinate system % u1: the unitary z-vector for the source coordinate system, if ignored, % u1=(0,0,1) % p0: offset of the new coordinate system, if ignored, p0=(0,0,0) % % output: % newpt: the transformed 3D points % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % if(nargin<2) error('you must give at least pt and v1'); end if(nargin==2) u1=[0,0,1]; end if(nargin<=3) p0=[0,0,0]; end u1=u1/norm(u1); v1=v1/norm(v1); [R,s]=rotmat2vec(u1,v1); newpt=(R*pt'*s)'; if(nargin>3) p0=p0(:)'; newpt=newpt+repmat(p0,size(newpt,1),1); endoctave-iso2mesh-1.9.6+ds/v2m.m0000644001356000007640000000104713724766530015016 0ustar fangqadminfunction [node,elem,face]=v2m(img,isovalues,opt,maxvol,method) % % [node,elem,face]=v2m(img,isovalues,opt,maxvol,method) % % volumetric mesh generation from binary or gray-scale volumetric images % shortcut for vol2mesh % % author: Qianqian Fang (q.fang at neu.edu) % % inputs and outputs are similar to those defined in vol2mesh % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % if(nargin==4) method='cgalsurf'; end [node,elem,face]=vol2mesh(img,1:size(img,1),1:size(img,2),1:size(img,3),opt,maxvol,1,method,isovalues); octave-iso2mesh-1.9.6+ds/jdataencode.m0000644001356000007640000003643413724766530016563 0ustar fangqadminfunction jdata=jdataencode(data, varargin) % % jdata=jdataencode(data) % or % jdata=jdataencode(data, options) % jdata=jdataencode(data, 'Param1',value1, 'Param2',value2,...) % % Annotate a MATLAB struct or cell array into a JData-compliant data % structure as defined in the JData spec: http://github.com/fangq/jdata. % This encoded form servers as an intermediate format that allows unambiguous % storage, exchange of complex data structures and easy-to-serialize by % json encoders such as savejson and jsonencode (MATLAB R2016b or newer) % % This function implements the JData Specification Draft 3 (Jun. 2020) % see http://github.com/fangq/jdata for details % % author: Qianqian Fang (q.fang neu.edu) % % input: % data: a structure (array) or cell (array) to be encoded. % options: (optional) a struct or Param/value pairs for user % specified options (first in [.|.] is the default) % AnnotateArray: [0|1] - if set to 1, convert all 1D/2D matrices % to the annotated JData array format to preserve data types; % N-D (N>2), complex and sparse arrays are encoded using the % annotated format by default. Please set this option to 1 if % you intend to use MATLAB's jsonencode to convert to JSON. % Base64: [0|1] if set to 1, _ArrayZipData_ is assumed to % be encoded with base64 format and need to be % decoded first. This is needed for JSON but not % UBJSON data % Prefix: ['x0x5F'|'x'] for JData files loaded via loadjson/loadubjson, the % default JData keyword prefix is 'x0x5F'; if the % json file is loaded using matlab2018's % jsondecode(), the prefix is 'x'; this function % attempts to automatically determine the prefix; % for octave, the default value is an empty string ''. % UseArrayZipSize: [1|0] if set to 1, _ArrayZipSize_ will be added to % store the "pre-processed" data dimensions, i.e. % the original data stored in _ArrayData_, and then flaten % _ArrayData_ into a row vector using row-major % order; if set to 0, a 2D _ArrayData_ will be used % UseArrayShape: [0|1] if set to 1, a matrix will be tested by % to determine if it is diagonal, triangular, banded or % toeplitz, and use _ArrayShape_ to encode the matrix % MapAsStruct: [0|1] if set to 1, convert containers.Map into % struct; otherwise, keep it as map % Compression: ['zlib'|'gzip','lzma','lz4','lz4hc'] - use zlib method % to compress data array % CompressArraySize: [100|int]: only to compress an array if the % total element count is larger than this number. % FormatVersion [2|float]: set the JSONLab output version; since % v2.0, JSONLab uses JData specification Draft 1 % for output format, it is incompatible with all % previous releases; if old output is desired, % please set FormatVersion to 1.9 or earlier. % % example: % jd=jdataencode(struct('a',rand(5)+1i*rand(5),'b',[],'c',sparse(5,5))) % % encodedmat=jdataencode(single(magic(5)),'annotatearray',1,'prefix','x') % jdatadecode(jsondecode(jsonencode(encodedmat))) % serialize by jsonencode % jdatadecode(loadjson(savejson('',encodedmat))) % serialize by savejson % % encodedtoeplitz=jdataencode(uint8(toeplitz([1,2,3,4],[1,5,6])),'usearrayshape',1,'prefix','x') % jdatadecode(jsondecode(jsonencode(encodedtoeplitz))) % serialize by jsonencode % jdatadecode(loadjson(savejson('',encodedtoeplitz))) % serialize by savejson % % license: % BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details % % -- this function is part of JSONLab toolbox (http://iso2mesh.sf.net/cgi-bin/index.cgi?jsonlab) % if(nargin==0) help jdataencode return; end opt=varargin2struct(varargin{:}); if(isoctavemesh) opt.prefix=jsonopt('Prefix','',opt); else opt.prefix=jsonopt('Prefix',sprintf('x0x%X','_'+0),opt); end opt.compression=jsonopt('Compression','',opt); opt.nestarray=jsonopt('NestArray',0,opt); opt.formatversion=jsonopt('FormatVersion',2,opt); opt.compressarraysize=jsonopt('CompressArraySize',100,opt); opt.base64=jsonopt('Base64',0,opt); opt.mapasstruct=jsonopt('MapAsStruct',0,opt); opt.usearrayzipsize=jsonopt('UseArrayZipSize',1,opt); opt.messagepack=jsonopt('MessagePack',0,opt); opt.usearrayshape=jsonopt('UseArrayShape',0,opt) && exist('bandwidth'); opt.annotatearray=jsonopt('AnnotateArray',0,opt); jdata=obj2jd(data,opt); %%------------------------------------------------------------------------- function newitem=obj2jd(item,varargin) if(iscell(item)) newitem=cell2jd(item,varargin{:}); elseif(isstruct(item)) newitem=struct2jd(item,varargin{:}); elseif(isnumeric(item) || islogical(item)) newitem=mat2jd(item,varargin{:}); elseif(ischar(item) || isa(item,'string')) newitem=mat2jd(item,varargin{:}); elseif(isa(item,'containers.Map')) newitem=map2jd(item,varargin{:}); elseif(isa(item,'categorical')) newitem=cell2jd(cellstr(item),varargin{:}); elseif(isa(item,'function_handle')) newitem=struct2jd(functions(item),varargin{:}); elseif(isa(item,'table')) newitem=table2jd(item,varargin{:}); elseif(isa(item,'digraph') || isa(item,'graph')) newitem=graph2jd(item,varargin{:}); elseif(isobject(item)) newitem=matlabobject2jd(item,varargin{:}); else newitem=item; end %%------------------------------------------------------------------------- function newitem=cell2jd(item,varargin) newitem=cellfun(@(x) obj2jd(x, varargin{:}), item, 'UniformOutput',false); %%------------------------------------------------------------------------- function newitem=struct2jd(item,varargin) num=numel(item); if(num>1) % struct array newitem=obj2jd(num2cell(item),varargin{:}); try newitem=cell2mat(newitem); catch end else % a single struct names=fieldnames(item); newitem=struct; for i=1:length(names) newitem.(names{i})=obj2jd(item.(names{i}),varargin{:}); end end %%------------------------------------------------------------------------- function newitem=map2jd(item,varargin) names=item.keys; if(varargin{1}.mapasstruct) % convert a map to struct newitem=struct; if(~strcmp(item.KeyType,'char')) data=num2cell(reshape([names, item.values],length(names),2),2); for i=1:length(names) data{i}{2}=obj2jd(data{i}{2},varargin{:}); end newitem.(N_('_MapData_',varargin{:}))=data; else for i=1:length(names) newitem.(N_(names{i},varargin{:}))=obj2jd(item(names{i}),varargin{:}); end end else % keep as a map and only encode its values if(strcmp(item.KeyType,'char')) newitem=containers.Map(); else newitem=containers.Map('KeyType',item.KeyType,'ValueType','any'); end for i=1:length(names) newitem(names{i})=obj2jd(item(names{i}),varargin{:}); end end %%------------------------------------------------------------------------- function newitem=mat2jd(item,varargin) N=@(x) N_(x,varargin{:}); newitem=struct(N('_ArrayType_'),class(item),N('_ArraySize_'),size(item)); zipmethod=varargin{1}.compression; minsize=varargin{1}.compressarraysize; % 2d numerical (real/complex/sparse) arrays with _ArrayShape_ encoding enabled if(varargin{1}.usearrayshape && ndims(item)==2 && ~isvector(item)) encoded=1; if(~isreal(item)) newitem.(N('_ArrayIsComplex_'))=true; end symmtag=''; if(isreal(item) && issymmetric(double(item))) symmtag='symm'; item=tril(item); elseif(~isreal(item) && ishermitian(double(item))) symmtag='herm'; item=tril(item); end [lband,uband]=bandwidth(double(item)); newitem.(N('_ArrayZipSize_'))=[lband+uband+1, min(size(item,1),size(item,2))]; if(lband+uband==0) % isdiag newitem.(N('_ArrayShape_'))='diag'; newitem.(N('_ArrayData_'))=diag(item).'; elseif(uband==0 && lband==size(item,1)-1) % lower triangular newitem.(N('_ArrayShape_'))=['lower' symmtag]; item=item.'; newitem.(N('_ArrayData_'))=item(triu(true(size(item)))).'; elseif(lband==0 && uband==size(item,2)-1) % upper triangular newitem.(N('_ArrayShape_'))='upper'; item=item.'; newitem.(N('_ArrayData_'))=item(tril(true(size(item)))).'; elseif(lband==0) % upper band newitem.(N('_ArrayShape_'))={'upperband',uband}; newitem.(N('_ArrayData_'))=spdiags(item.',-uband:lband).'; elseif(uband==0) % lower band newitem.(N('_ArrayShape_'))={sprintf('lower%sband',symmtag),lband}; newitem.(N('_ArrayData_'))=spdiags(item.',-uband:lband).'; elseif(uband1.9) item=permute(item,ndims(item):-1:1); end newitem.(N('_ArrayData_'))=item(:)'; end else newitem.(N('_ArrayIsComplex_'))=true; if(issparse(item)) fulldata=full(item(item~=0)); newitem.(N('_ArrayIsSparse_'))=true; newitem.(N('_ArrayZipSize_'))=[3+(~isvector(item)),length(fulldata)]; if(isvector(item)) newitem.(N('_ArrayData_'))=[find(item(:))', real(fulldata(:))', imag(fulldata(:))']; else [ix,iy]=find(item); newitem.(N('_ArrayData_'))=[ix(:)' , iy(:)' , real(fulldata(:))', imag(fulldata(:))']; end else if(varargin{1}.formatversion>1.9) item=permute(item,ndims(item):-1:1); end newitem.(N('_ArrayZipSize_'))=[2,numel(item)]; newitem.(N('_ArrayData_'))=[real(item(:))', imag(item(:))']; end end if(varargin{1}.usearrayzipsize==0 && isfield(newitem,N('_ArrayZipSize_'))) data=newitem.(N('_ArrayData_')); data=reshape(data,fliplr(newitem.(N('_ArrayZipSize_')))); newitem.(N('_ArrayData_'))=permute(data,ndims(data):-1:1); newitem=rmfield(newitem,N('_ArrayZipSize_')); end if(~isempty(zipmethod) && numel(item)>minsize) compfun=str2func([zipmethod 'encode']); newitem.(N('_ArrayZipType_'))=lower(zipmethod); if(~isfield(newitem,N('_ArrayZipSize_'))) newitem.(N('_ArrayZipSize_'))=size(newitem.(N('_ArrayData_'))); end newitem.(N('_ArrayZipData_'))=compfun(typecast(newitem.(N('_ArrayData_'))(:).','uint8')); newitem=rmfield(newitem,N('_ArrayData_')); if(varargin{1}.base64) newitem.(N('_ArrayZipData_'))=char(base64encode(newitem.(N('_ArrayZipData_')))); end end if(isfield(newitem,N('_ArrayData_')) && isempty(newitem.(N('_ArrayData_')))) newitem.(N('_ArrayData_'))=[]; end %%------------------------------------------------------------------------- function newitem=table2jd(item,varargin) newitem=struct; newitem.(N_('_TableCols_',varargin{:}))=item.Properties.VariableNames; newitem.(N_('_TableRows_',varargin{:}))=item.Properties.RowNames'; newitem.(N_('_TableRecords_',varargin{:}))=table2cell(item); %%------------------------------------------------------------------------- function newitem=graph2jd(item,varargin) newitem=struct; nodedata=table2struct(item.Nodes); if(isfield(nodedata,'Name')) nodedata=rmfield(nodedata,'Name'); newitem.(N_('_GraphNodes_',varargin{:}))=containers.Map(item.Nodes.Name,num2cell(nodedata),'UniformValues',false); else newitem.(N_('_GraphNodes_',varargin{:}))=containers.Map(1:max(item.Edges.EndNodes(:)),num2cell(nodedata),'UniformValues',false); end edgenodes=num2cell(item.Edges.EndNodes); edgedata=table2struct(item.Edges); if(isfield(edgedata,'EndNodes')) edgedata=rmfield(edgedata,'EndNodes'); end edgenodes(:,3)=num2cell(edgedata); if(isa(item,'graph')) if(strcmp(varargin{1}.prefix,'x')) newitem.(genvarname('_GraphEdges0_'))=edgenodes; else newitem.(encodevarname('_GraphEdges0_'))=edgenodes; end else newitem.(N_('_GraphEdges_',varargin{:}))=edgenodes; end %%------------------------------------------------------------------------- function newitem=matlabobject2jd(item,varargin) try if numel(item) == 0 %empty object newitem = struct(); elseif numel(item) == 1 % newitem = char(item); else propertynames = properties(item); for p = 1:numel(propertynames) for o = numel(item):-1:1 % aray of objects newitem(o).(propertynames{p}) = item(o).(propertynames{p}); end end end catch newitem=any2jd(item,varargin{:}); end %%------------------------------------------------------------------------- function newitem=any2jd(item,varargin) N=@(x) N_(x,varargin{:}); newitem.(N('_DataInfo_'))=struct('MATLABObjectClass',class(item),'MATLABObjectSize',size(item)); newitem.(N('_ByteStream_'))=getByteStreamFromArray(item); % use undocumented matlab function if(varargin{1}.base64) newitem.(N('_ByteStream_'))=char(base64encode(newitem.(N('_ByteStream_')))); end %%------------------------------------------------------------------------- function newname=N_(name,varargin) newname=[varargin{1}.prefix name]; octave-iso2mesh-1.9.6+ds/DESCRIPTION0000644001356000007640000000167413724766530015650 0ustar fangqadminName: iso2mesh Version: 1.9.6 Date: 2020-05-09 Title: A 3D surface and volumetric mesh generator for MATLAB/Octave Author: Qianqian Fang Maintainer: Qianqian Fang Description: Iso2Mesh is a MATLAB/Octave-based mesh generation toolbox, designed for easy creation of high quality surface and tetrahedral meshes from 3D volumetric images. It contains a rich set of mesh processing scripts/programs, working either independently or interacting with external free meshing utilities. Iso2Mesh toolbox can directly convert a 3D image stack, including binary, segmented or gray-scale images such as MRI or CT scans, into quality volumetric meshes. This makes it particularly suitable for multi-modality medical imaging data analysis and multi-physics modeling. Iso2Mesh is cross-platform and is compatible with both MATLAB and GNU Octave. URL: http://iso2mesh.sf.net Depends: jnifti, jsonlab, zmat Categories: Mesh octave-iso2mesh-1.9.6+ds/getoptkey.m0000644001356000007640000000145313724766530016326 0ustar fangqadminfunction val=getoptkey(key,default,varargin) % % val=getoptkey(key,default,opt) % or % val=getoptkey(key,default,'key1',val1,'key2',val2, ...) % % query the value of a key from a structure or a list of key/value pairs % % author: Qianqian Fang, % % input: % key: a string name for the target struct field name % default: the default value of the key is not found % opt: a struct object; the field names will be searched to match the % key input, opt can be a list of 'keyname'/value pairs % % output: % val: val=opt.key if found, otherwise val=default % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % val=default; if(nargin<=2) return; end opt=varargin2struct(varargin{:}); if(isstruct(opt) && isfield(opt,key)) val=getfield(opt,key); end octave-iso2mesh-1.9.6+ds/maskdist.m0000644001356000007640000000302413724766530016126 0ustar fangqadminfunction dist=maskdist(vol) % % dist=maskdist(vol) % % return the distance in each voxel towards the nearest label boundaries % % author: Qianqian Fang (q.fang at neu.edu) % % input: % vol: a 2D or 3D array % % output: % dist: an integer array, storing the distance, in voxel unit, towards % the nearest boundary between two distinct non-zero voxels, the % zero voxels in the domain and space outside of the array % are also treated as a unique non-zero label. If the goal is to % get the minimum distance measured from the center of the voxel, % one should use (dist-0.5). % % example: % % a=ones(60,60,60); % a(:,:,1:10)=2; % a(:,:,11:20)=3; % im=maskdist(a); % imagesc(squeeze(im(:,30,:))) % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % if(isempty(vol)) error('input vol can not be empty'); end vals=unique(vol(:)); if(length(vals)>256) error('it appears that your input is a gray-scale image, you must convert it to binary or labels first'); end newvol=ones(size(vol)+2)*max(vals)+1; if(ndims(vol)==2) newvol(2:end-1,2:end-1)=vol; elseif(ndims(vol)==3) newvol(2:end-1,2:end-1,2:end-1)=vol; end vals(end+1)=newvol(1,1,1); vals(vals==0)=[]; newvol(newvol==0)=newvol(1,1,1); dist=ones(size(newvol))*inf; for i=1:length(vals(:)) vv=(newvol==vals(i)); vdist=bwdist(vv); vdist(vdist==0)=inf; dist=min(dist,vdist); end if(ndims(vol)==2) dist=dist(2:end-1,2:end-1); elseif(ndims(vol)==3) dist=dist(2:end-1,2:end-1,2:end-1); end octave-iso2mesh-1.9.6+ds/debian/0000755001356000007640000000000013730477711015351 5ustar fangqadminoctave-iso2mesh-1.9.6+ds/debian/iso2mesh-tools.install0000644001356000007640000000002113715324650021615 0ustar fangqadminutils/* usr/bin octave-iso2mesh-1.9.6+ds/debian/repack0000755001356000007640000000634013715324650016543 0ustar fangqadmin#! /bin/bash # # debian/repack # # Copyright © 2013–2014 Ben Finney # This is free software; see the end of this file for license terms. # Convert the pristine upstream source to the Debian upstream source. # # This program is designed for use with the ‘uscan(1)’ tool, as the # “action” parameter for the ‘debian/watch’ configuration file. set -o errexit set -o errtrace set -o pipefail set -o nounset program_dir="$(dirname "$(realpath --strip "$0")")" source "${program_dir}"/source_package_build.bash function usage() { local progname=$(basename $0) printf "$progname --upstream-version VERSION FILENAME\n" } if [ $# -lt 2 ] ; then usage exit 1 fi upstream_version="$2" downloaded_file="../${package_name}_$2.orig.tar.gz" upstream_dirname="${package_name}-${upstream_version}.orig" upstream_tarball_basename="${package_name}_${upstream_version}.orig" echo $upstream_tarball_basename target_filename="${upstream_tarball_basename}.tar.gz" target_working_file="${working_dir}/${target_filename}" target_file="$(dirname "${downloaded_file}")/${target_filename}" repack_dir="${working_dir}/${upstream_dirname}" printf "Unpacking pristine upstream source ‘${downloaded_file}’:\n" extract_tarball_to_working_dir "${downloaded_file}" upstream_source_dirname=$(ls -1 "${working_dir}") upstream_source_dir="${working_dir}/${upstream_source_dirname}" printf "Repackaging upstream source from ‘${upstream_source_dir}’ to ‘${repack_dir}’:\n" mv "${upstream_source_dir}" "${repack_dir}" printf "Removing non-DFSG-free files:\n" nonfree_fileglobs=( bin tools/tetgen tools/cork tools/meshfix tools/manpage/cork.1 ) for fileglob in "${nonfree_fileglobs[@]}" ; do rm -vrf "${repack_dir}"/$fileglob done printf "Rebuilding DFSG-free upstream source tarball:\n" archive_working_dirname_to_tarball "${upstream_dirname}" "${target_working_file}" printf "Moving completed upstream tarball to ‘${target_file}’:\n" rm -v "${downloaded_file}" mv "${target_working_file}" "${target_file}" printf "Done.\n" # Permission is hereby granted, free of charge, to any person obtaining # a copy of this software and associated documentation files (the # “Software”), to deal in the Software without restriction, including # without limitation the rights to use, copy, modify, merge, publish, # distribute, sublicense, and/or sell copies of the Software, and to # permit persons to whom the Software is furnished to do so, subject to # the following conditions: # # The above copyright notice and this permission notice shall be included # in all copies or substantial portions of the Software. # # The Software is provided “as is”, without warranty of any kind, # express or implied, including but not limited to the warranties of # merchantability, fitness for a particular purpose and noninfringement. # In no event shall the authors or copyright holders be liable for any # claim, damages or other liability, whether in an action of contract, # tort or otherwise, arising from, out of or in connection with the # Software or the use or other dealings in the Software. # Local variables: # coding: utf-8 # mode: sh # indent-tabs-mode: nil # End: # vim: fileencoding=utf-8 filetype=bash : octave-iso2mesh-1.9.6+ds/debian/iso2mesh-tools.links0000644001356000007640000000014613715324650021277 0ustar fangqadmin/usr/bin/tetgen /usr/bin/tetgen1.5 /usr/share/man/man1/tetgen.1.gz /usr/share/man/man1/tetgen1.5.1.gz octave-iso2mesh-1.9.6+ds/debian/source/0000755001356000007640000000000013715324650016645 5ustar fangqadminoctave-iso2mesh-1.9.6+ds/debian/source/format0000644001356000007640000000001413715324650020053 0ustar fangqadmin3.0 (quilt) octave-iso2mesh-1.9.6+ds/debian/iso2mesh-tools.manpages0000644001356000007640000000022713715324650021752 0ustar fangqadmintools/manpage/jmeshlib.1 tools/manpage/cgalmesh.1 tools/manpage/cgalpoly.1 tools/manpage/meshfix.1 tools/manpage/cgalsurf.1 tools/manpage/cgalsimp2.1 octave-iso2mesh-1.9.6+ds/debian/changelog0000644001356000007640000000050513730477711017223 0ustar fangqadminoctave-iso2mesh (1.9.6+ds-0ubuntu1) UNRELEASED; urgency=medium * New upstream release -- Qianqian Fang Wed, 16 Sep 2020 14:12:41 -0700 octave-iso2mesh (1.9.5+ds-1) unstable; urgency=medium * Initial release (Closes: #962608) -- Qianqian Fang Thu, 13 Aug 2020 17:59:20 -0300 octave-iso2mesh-1.9.6+ds/debian/copyright0000644001356000007640000001644713715324650017314 0ustar fangqadminFormat: https://www.debian.org/doc/packaging-manuals/copyright-format/1.0/ Upstream-Name: iso2mesh Upstream-Contact: fangqq@gmail.com Source: https://github.com/fangq/iso2mesh Files-Excluded: bin/* Comment: remove precompiled binary utilities to ease packaging Files: * Copyright: 2007-2020, Qianqian Fang License: GPL-2+ Files: *decode.m *decode.m *json.m *bj.m *msgpack.m *bracket*.m jload.m jsave.m *varname.m jsonopt.m Copyright: 2007-2020, Qianqian Fang License: GPL-2+ or BSD-3-clause Files: *nii*.m *nifti*.m Copyright: 2007-2020, Qianqian Fang License: GPL-2+ or Apache-2.0 Files: tools/cgalsurf/* tools/cgalmesh/* tools/cgalsimp2/* Copyright: 2009-2020, Qianqian Fang 2009, The CGAL Project Comment: These files were derived from the example codes in CGAL 3.8. According to the LICENSE file in CGAL: "All other files that do not have an explicit copyright notice (e.g., all examples and some demos) are licensed under a very permissive license. The exact license text can be found in the file LICENSE.FREE_USE." [this file can be retrieved from https://github.com/CGAL/releases/blob/master/LICENSE.FREE_USE] License: CGAL-Free-Use Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: . THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. Files: meshfix/* Copyright: 2010, IMATI-GE / CNR License: GPL-2+ Files: meshfix/contrib/OpenNL3.2.1/* Copyright: 2004-2010, Bruno Levy 2008-2010, GOCAD/ASGA, INRIA/ALICE License: BSD-3-clause Files: meshfix/contrib/OpenNL3.2.1/CMakeModules/* Copyright: 2008, 2009, NVIDIA Corporation. All rights reserved. 2007-2009, Scientific Computing and Imaging Institute, University of Utah License: MIT License for the specific language governing rights and limitations under Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: . The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. . THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. Files: debian/* Copyright: 2020, Qianqian Fang 2020, Rafael Laboissière License: GPL-3+ This program is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. . This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. . You should have received a copy of the GNU General Public License along with this package; if not, write to the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA . On Debian systems, the full text of the GNU General Public License version 3 can be found in the file `/usr/share/common-licenses/GPL-3'. License: GPL-2+ This program is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version. . This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. . You should have received a copy of the GNU General Public License along with this package; if not, write to the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA . On Debian systems, the full text of the GNU General Public License version 2 can be found in the file `/usr/share/common-licenses/GPL-2'. License: Apache-2.0 Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 . Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. License: BSD-3-clause Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: . * Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. . * Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution. . * Neither the name of the copyright holder nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission. . THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. octave-iso2mesh-1.9.6+ds/debian/source_package_build.bash0000755001356000007640000000504013715324650022340 0ustar fangqadmin#!/bin/bash # debian/source_package_build.bash # # Copyright © 2013–2014 Ben Finney # This is free software; see the end of this file for license terms. # Common code for building Debian upstream source package. working_dir="$(mktemp -d -t)" exit_sigspecs="ERR EXIT SIGTERM SIGHUP SIGINT SIGQUIT" function cleanup_exit() { exit_status=$? trap - $exit_sigspecs rm -rf "${working_dir}" printf "Cleaned up working directory ‘${working_dir}’\n" exit $exit_status } trap cleanup_exit $exit_sigspecs package_name=$(dpkg-parsechangelog --show-field 'Source') release_version=$(dpkg-parsechangelog --show-field 'Version') upstream_version=$(printf "${release_version}" \ | sed -e 's/^[[:digit:]]\+://' -e 's/[-][^-]\+$//') upstream_dirname="${package_name}-${upstream_version}.orig" upstream_tarball_basename="${package_name}_${upstream_version}.orig" function extract_tarball_to_working_dir() { # Extract the specified tarball to the program's working directory. local tarball="$1" tar -xzf "${tarball}" --directory "${working_dir}" } function archive_working_dirname_to_tarball() { # Archive the specified directory, relative to the working directory, # to a new tarball of the specified name. local source_dirname="$1" local tarball="$2" GZIP="--best" tar --directory "${working_dir}" -czf "${tarball}" "${source_dirname}" } # Permission is hereby granted, free of charge, to any person obtaining # a copy of this software and associated documentation files (the # “Software”), to deal in the Software without restriction, including # without limitation the rights to use, copy, modify, merge, publish, # distribute, sublicense, and/or sell copies of the Software, and to # permit persons to whom the Software is furnished to do so, subject to # the following conditions: # # The above copyright notice and this permission notice shall be included # in all copies or substantial portions of the Software. # # The Software is provided “as is”, without warranty of any kind, # express or implied, including but not limited to the warranties of # merchantability, fitness for a particular purpose and noninfringement. # In no event shall the authors or copyright holders be liable for any # claim, damages or other liability, whether in an action of contract, # tort or otherwise, arising from, out of or in connection with the # Software or the use or other dealings in the Software. # Local variables: # coding: utf-8 # mode: sh # End: # vim: fileencoding=utf-8 filetype=bash : octave-iso2mesh-1.9.6+ds/debian/upstream/0000755001356000007640000000000013715324650017205 5ustar fangqadminoctave-iso2mesh-1.9.6+ds/debian/upstream/metadata0000644001356000007640000000146613715324650020717 0ustar fangqadminReference: - Author: Anh Phong Tran and Shijie Yan and Qianqian Fang Title: >- Improving model-based fNIRS analysis using mesh-based anatomical and light-transport models Journal: Neurophotonics Year: 2020 Volume: 7 Number: 1 Pages: 015008 DOI: 10.1117/1.NPh.7.1.015008 - Author: Qianqian Fang and David Boas Title: >- Tetrahedral mesh generation from volumetric binary and gray-scale images Booktitle: >- Proceedings of IEEE International Symposium on Biomedical Imaging (ISBI 2009) Year: 2009 Pages: 1142-1145 Type: inproceedings Repository: https://github.com/fangq/iso2mesh.git Repository-Browse: https://github.com/fangq/iso2mesh.git Bug-Database: https://github.com/fangq/iso2mesh/issues/ Bug-Submit: https://github.com/fangq/iso2mesh/issues/new octave-iso2mesh-1.9.6+ds/debian/iso2mesh-demos.examples0000644001356000007640000000001113715324650021733 0ustar fangqadminsample/* octave-iso2mesh-1.9.6+ds/debian/matlab-iso2mesh.dirs0000644001356000007640000000004113715324650021212 0ustar fangqadminusr/share/matlab/site/m/iso2mesh octave-iso2mesh-1.9.6+ds/debian/docs0000644001356000007640000000016213715324650016217 0ustar fangqadminAUTHORS.txt README.md NEWS doc/Advanced_Features.txt doc/Download_and_License.txt doc/FAQ.txt doc/Get_Started.txt octave-iso2mesh-1.9.6+ds/debian/matlab-iso2mesh.install0000644001356000007640000000012713715324650021724 0ustar fangqadmininst/*.m usr/share/matlab/site/m/iso2mesh inst/*.fig usr/share/matlab/site/m/iso2mesh octave-iso2mesh-1.9.6+ds/debian/clean0000644001356000007640000000050413715324650016351 0ustar fangqadminCOPYING NEWS inst/ utils/ meshfix/CMakeFiles/ meshfix/CMakeCache* meshfix/cmake_install.cmake meshfix/include/SuperLU meshfix/Makefile meshfix/contrib/JMeshLib/CMakeFiles/ meshfix/contrib/JMeshLib/CMakeCache* meshfix/contrib/JMeshLib/Makefile meshfix/contrib/JMeshLib/cmake_install.cmake meshfix/contrib/JMeshLib/libjmesh.a octave-iso2mesh-1.9.6+ds/debian/watch0000644001356000007640000000075313715324650016403 0ustar fangqadminversion=4 opts="compression=gz, oversionmangle=s/(.*)/$1+ds/, dversionmangle=s/\+(debian|dfsg|ds|deb)(\.?\d+)?$//,\ filenamemangle=s/\S+\/v?(\S+)\.tar\.gz/iso2mesh-$1\.tar\.gz/" \ https://github.com/fangq/iso2mesh/tags .*/v?(\d\S+)\.tar\.gz \ debian debian/repack opts="compression=gz, component=meshfix,filenamemangle=s%(?:.*?)?v?(\d[\d.]*)\.tar\.gz%meshfix-$1.tar.gz%" \ https://github.com/fangq/meshfix/tags \ (?:.*?/)?v?(\d[\d.]*)\.tar\.gz ignore uupdate octave-iso2mesh-1.9.6+ds/debian/README.md0000644001356000007640000000145713715324650016633 0ustar fangqadminCommands to build the package, please copy and paste to a terminal ``` VER=1.9.5 PKG=iso2mesh wget https://github.com/fangq/${PKG}/archive/v${VER}.tar.gz tar zxvf v${VER}.tar.gz cd ${PKG}-${VER}/tools/ rm -rf tetgen meshfix wget https://github.com/fangq/meshfix/archive/v1.2.2.tar.gz tar zxvf v1.2.2.tar.gz mv meshfix-1.2.2 meshfix rm -rf v1.2.2.tar.gz cd ../../ # remove upstream binary files cd ${PKG}-${VER} rm -rf bin/*.mex* bin/*.dll bin/*.exe mv tools src rm src/tetgen mkdir inst mv *.m inst mv *.fig inst mv ChangeLog.txt NEWS mv COPYING.txt COPYING cd .. # recreate the orig package tar zcvf octave-${PKG}_${VER}.orig.tar.gz ${PKG}-${VER} cd ${PKG}-${VER} #download the debian packaging files git clone https://salsa.debian.org/fangq/octave-${PKG}.git debian #build deb package debuild -us -uc ``` octave-iso2mesh-1.9.6+ds/debian/rules0000755001356000007640000000334013715324650016425 0ustar fangqadmin#!/usr/bin/make -f # export DH_VERBOSE =1 OCTDIR=$(shell octave-config --print LOCALOCTFILEDIR) CGALVER=$(shell grep -o -E '\s[0-9]\.[0-9]+' /usr/include/CGAL/version.h) ifeq ($(shell expr $(CGALVER) \< 5.0), 1) CGALLIB=-lCGAL -lCGAL_ImageIO endif %: +dh $@ --buildsystem=octave --with=octave override_dh_auto_configure: mkdir utils mkdir inst cp COPYING.txt COPYING cp ChangeLog.txt NEWS cp *.m inst cp *.fig inst cd inst; \ rm -rf base64decode.m base64encode.m fast_match_bracket.m gzipdecode.m gzipencode.m \ jdatadecode.m jdataencode.m jnifticreate.m loadjnifti.m loadjson.m loadmsgpack.m \ loadnifti.m loadubjson.m lz4decode.m lz4encode.m lz4hcdecode.m lz4hcencode.m lzipdecode.m \ lzipencode.m lzmadecode.m lzmaencode.m match_bracket.m nestbracket2dim.m nifticreate.m \ nii2jnii.m jnii2nii.m niicodemap.m niiformat.m readnifti.m savebnii.m savejnifti.m savejnii.m \ savemsgpack.m savenifti.m saveubjson.m zlibdecode.m zlibencode.m jsave.m jload.m savebj.m \ loadbj.m savejson.m isoctavemesh.m mergestruct.m jsonopt.m encodevarname.m decodevarname.m override_dh_auto_build: $(CXX) -g -O3 tools/cgalmesh/mesh_3D_image.cpp -o utils/cgalmesh $(CGALLIB) -lgmp -lmpfr $(CXX) -g -O3 tools/cgalmesh/mesh_polyhedral_domain.cpp -o utils/cgalpoly $(CGALLIB) -lgmp -lmpfr $(CXX) -g -O3 tools/cgalsurf/mesh_a_3d_gray_image.cpp -o utils/cgalsurf $(CGALLIB) -lgmp -lmpfr $(CXX) -g -O3 tools/cgalsimp2/edge_collapse_enriched_polyhedron.cpp -o utils/cgalsimp2 $(CGALLIB) -lgmp -lmpfr cd meshfix; \ rm -rf include/SuperLU; \ ln -sf /usr/include/superlu include/SuperLU; \ cmake . $(MAKE) -C meshfix mv meshfix/meshfix utils mv meshfix/contrib/JMeshLib/test_jmeshlib utils/jmeshlib override_dh_installchangelogs: dh_installchangelogs NEWS octave-iso2mesh-1.9.6+ds/debian/control0000644001356000007640000000462413715324650016756 0ustar fangqadminSource: octave-iso2mesh Maintainer: Debian Octave Group Uploaders: Qianqian Fang Section: science Priority: optional Standards-Version: 4.5.0 Build-Depends: cmake, libcgal-dev, libsuperlu-dev, zlib1g-dev, debhelper-compat (= 12), dh-octave Homepage: https://iso2mesh.sf.net Vcs-Git: https://salsa.debian.org/pkg-octave-team/octave-iso2mesh.git Vcs-Browser: https://salsa.debian.org/pkg-octave-team/octave-iso2mesh Rules-Requires-Root: no Package: octave-iso2mesh Architecture: all Depends: octave-zmat, octave-jsonlab, octave-jnifti, iso2mesh-tools, tetgen, ${octave:Depends}, ${misc:Depends} Description: 3D surface and volumetric mesh generator for Octave Iso2Mesh is a MATLAB/Octave-based mesh generation toolbox, designed for easy creation of high quality surface and tetrahedral meshes from 3D volumetric images. It contains a rich set of mesh processing scripts/programs, working either independently or interacting with external free meshing utilities. Iso2Mesh toolbox can directly convert a 3D image stack, including binary, segmented or gray-scale images such as MRI or CT scans, into quality volumetric meshes. This makes it particularly suitable for multi-modality medical imaging data analysis and multi-physics modeling. Iso2Mesh is cross-platform and is compatible with both MATLAB and GNU Octave. Package: iso2mesh-tools Architecture: any Depends: ${shlibs:Depends}, ${misc:Depends} Description: 3D mesh generation and repairing utilities This package contains 3D mesh generation and repairing tools that can be used independently and invoked inside iso2mesh. . These tools include cgalmesh (3D mesh generation from volumetric images), `cgalpoly` (3D mesh generation from polyhedral surfaces), `cgalsimp2` (triangular surface simplification), `meshfix` (3D surface cleaning and repairing), and `jmeshlib` (3D surface cleaning). Package: iso2mesh-demos Architecture: all Depends: octave-iso2mesh, ${misc:Depends} Description: sample files and demo scripts for Iso2Mesh toolbox This package contains sample meshing script and data files for testing and showcasing Iso2Mesh functions. The main functions demonstrated in this package include surface-based mesh generation via s2m/surf2mesh, volume-based mesh generation via v2m/vol2mesh, mesh smoothing (sms), boolean operations (surfboolean), downsampling (meshsample) and remeshing (remeshsurf). octave-iso2mesh-1.9.6+ds/bbxflatsegment.m0000644001356000007640000000473413724766530017325 0ustar fangqadminfunction seg=bbxflatsegment(node,loop) % % seg=bbxflatsegment(node,loop) % % decompose edge loops into flat segments along the x/y/z % planes of the bounding box % % author: Qianqian Fang, % date: 2008/04/08 % % input: % node: x,y,z coordinates of each node of the mesh % loop: input, a single vector separated by NaN, each segment % is a close-polygon consisted by node IDs % output: % seg: output, a single vector separated by NaN, each segment % is a close-polygon on x/y/z plane % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % pos=node(loop,:); % get the bounding box mi=min(pos); ma=max(pos); % extract nodes on the bounding box idx0=find(abs(pos(:,1)-mi(1))<1e-6)'; idx1=find(abs(pos(:,1)-ma(1))<1e-6)'; idy0=find(abs(pos(:,2)-mi(2))<1e-6)'; idy1=find(abs(pos(:,2)-ma(2))<1e-6)'; idz0=find(abs(pos(:,3)-mi(3))<1e-6)'; idz1=find(abs(pos(:,3)-ma(3))<1e-6)'; % need to be more than 3 points to make a flat polygon if(length(idx0)<=3) idx0=[]; end if(length(idx1)<=3) idx1=[]; end if(length(idy0)<=3) idy0=[]; end if(length(idy1)<=3) idy1=[]; end if(length(idz0)<=3) idz0=[]; end if(length(idz1)<=3) idz1=[]; end nn=length(loop); % if the original is a flat polygon, return if(unique(length(idx0))==nn || unique(length(idx1))==nn ... |unique(length(idy0))==nn || unique(length(idy1))==nn ... |unique(length(idz0))==nn || unique(length(idz1))==nn) seg=loop(:)'; return; end % otherwise, find the combination that split the loop if(length(unique([idx0 idy0 idz0]))==nn) seg= [loop(idx0),nan,loop(idy0),nan,loop(idz0)]; elseif(length(unique([idx0 idy1 idz0]))==nn) seg= [loop(idx0),nan,loop(idy1),nan,loop(idz0)]; elseif(length(unique([idx0 idy0 idz1]))==nn) seg= [loop(idx0),nan,loop(idy0),nan,loop(idz1)]; elseif(length(unique([idx0 idy1 idz1]))==nn) seg= [loop(idx0),nan,loop(idy1),nan,loop(idz1)]; elseif(length(unique([idx1 idy0 idz0]))==nn) seg= [loop(idx1),nan,loop(idy0),nan,loop(idz0)]; elseif(length(unique([idx1 idy1 idz0]))==nn) seg= [loop(idx1),nan,loop(idy1),nan,loop(idz0)]; elseif(length(unique([idx1 idy0 idz1]))==nn) seg= [loop(idx1),nan,loop(idy0),nan,loop(idz1)]; elseif(length(unique([idx1 idy1 idz1]))==nn) seg= [loop(idx1),nan,loop(idy1),nan,loop(idz1)]; else seg=[]; end % remove pattern [ ... nan nan ...] in the result if(length(seg) && any(isnan(seg))) id=regexp(sprintf('%d',isnan(seg)),'11'); if(length(id)) seg(id+1)=[]; end end octave-iso2mesh-1.9.6+ds/binsurface.m0000644001356000007640000000503013724766530016427 0ustar fangqadminfunction [node,elem]=binsurface(img,nface) % % [node,elem]=binsurface(img,nface) % % fast isosurface extraction from 3D binary images % % author: Qianqian Fang, % % input: % img: a 3D binary image % nface: nface=3 or ignored - for triangular faces, % nface=4 - square faces % nface=0 - return a boundary mask image via node % % output: % elem: integer array with dimensions of NE x nface, each row represents % a surface mesh face element % node: node coordinates, 3 columns for x, y and z respectively % % the outputs of this subroutine can be easily plotted using % patch('Vertices',node,'faces',elem,'FaceVertexCData',node(:,3), % 'FaceColor','interp'); % if the surface mesh has triangular faces, one can plot it with % trisurf(elem,node(:,1),node(:,2),node(:,3)) % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % dim=size(img); if(length(dim)<3) dim(3)=1; end newdim=dim+[1 1 1]; % find the jumps (0->1 or 1->0) for all directions d1=diff(img,1,1); d2=diff(img,1,2); d3=diff(img,1,3); [ix,iy]=find(d1==1|d1==-1); [jx,jy]=find(d2==1|d2==-1); [kx,ky]=find(d3==1|d3==-1); % compensate the dim. reduction due to diff, and % wrap the indices in a bigger array (newdim) ix=ix+1; [iy,iz]=ind2sub(dim(2:3),iy); iy=sub2ind(newdim(2:3),iy,iz); [jy,jz]=ind2sub([dim(2)-1,dim(3)],jy); jy=jy+1; jy=sub2ind(newdim(2:3),jy,jz); [ky,kz]=ind2sub([dim(2),dim(3)-1],ky); kz=kz+1; ky=sub2ind(newdim(2:3),ky,kz); id1=sub2ind(newdim,ix,iy); id2=sub2ind(newdim,jx,jy); id3=sub2ind(newdim,kx,ky); if(nargin==2 && nface==0) elem=[id1 id2 id3]; node=zeros(newdim); node(elem)=1; node=node(2:end-1,2:end-1,2:end-1)-1; return end % populate all the triangles xy=newdim(1)*newdim(2); if(nargin==1 || nface==3) % create triangular elements elem=[id1 id1+newdim(1) id1+newdim(1)+xy; id1 id1+newdim(1)+xy id1+xy]; elem=[elem; id2 id2+1 id2+1+xy; id2 id2+1+xy id2+xy]; elem=[elem; id3 id3+1 id3+1+newdim(1); id3 id3+1+newdim(1) id3+newdim(1)]; else % create box elements elem=[id1 id1+newdim(1) id1+newdim(1)+xy id1+xy]; elem=[elem; id2 id2+1 id2+1+xy id2+xy]; elem=[elem; id3 id3+1 id3+1+newdim(1) id3+newdim(1)]; end % compress the node indices nodemap=zeros(max(elem(:)),1); nodemap(elem(:))=1; id=find(nodemap); nodemap=0; nodemap(id)=1:length(id); elem=nodemap(elem); % create the coordiniates [xi,yi,zi]=ind2sub(newdim,id); % assuming the origin [0 0 0] is located at the lower-bottom corner of the image node=[xi(:),yi(:),zi(:)]-1; octave-iso2mesh-1.9.6+ds/s2m.m0000644001356000007640000000241513724766530015013 0ustar fangqadminfunction [node,elem,face]=s2m(v,f,keepratio,maxvol,method,regions,holes,varargin) % % [node,elem,face]=s2m(v,f,keepratio,maxvol,method) % [node,elem,face]=s2m(v,f,keepratio,maxvol,'tetgen',regions,holes) % % volumetric mesh generation from a closed surface, shortcut for surf2mesh % % author: Qianqian Fang (q.fang at neu.edu) % % inputs and outputs are similar to those defined in surf2mesh % % if method='cgalpoly', s2m will call cgals2m and keepratio should be a % structure (as the 'opt' input in cgals2m) % % input default values: % method: if ignored, iso2mesh uses surf2mesh ('tetgen') to do the % tetrahedral mesh generation % regions,holes: if ignored, iso2mesh assumes both are empty % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % if(nargin>=5 && strcmp(method,'cgalpoly')) [node,elem,face]=cgals2m(v,f,keepratio,maxvol); return; end if(nargin<=5) regions=[]; end if(nargin<=6) holes=[]; end if(nargin>=5) if(nargin>=8) [node,elem,face]=surf2mesh(v,f,[],[],keepratio,maxvol,regions,holes,0,method,varargin{:}); else [node,elem,face]=surf2mesh(v,f,[],[],keepratio,maxvol,regions,holes,0,method); end else [node,elem,face]=surf2mesh(v,f,[],[],keepratio,maxvol,regions,holes); end octave-iso2mesh-1.9.6+ds/uniqedges.m0000644001356000007640000000162213724766530016275 0ustar fangqadminfunction [edges,idx,edgemap]=uniqedges(elem) % % [edges,idx,edgemap]=uniqedges(elem) % % return the unique edge list from a surface or tetrahedral mesh % % author: Qianqian Fang, % % input: % elem: a list of elements, each row is a list of nodes for an element. % elem can have 2, 3 or 4 columns % % output: % edge: unique edges in the mesh, denoted by a pair of node indices % idx: index of the output in the raw edge list (returned by meshedge) % edgemap: index of the raw edges in the output list (for triangular mesh) % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % if(size(elem)==2) edges=elem; elseif(size(elem)>=3) edges=meshedge(elem); else error('invalid input'); end [uedges,idx,jdx]=unique(sort(edges,2),'rows'); edges=edges(idx,:); if(nargout>2) edgemap=reshape(jdx,[size(elem,1) nchoosek(size(elem,2),2)]); end octave-iso2mesh-1.9.6+ds/removeisolatedsurf.m0000644001356000007640000000213713724766530020235 0ustar fangqadminfunction fnew=removeisolatedsurf(v,f,maxdiameter) % % fnew=removeisolatedsurf(v,f,maxdiameter) % % remove disjointed surface fragment filtered by using mesh diameter % % author: Qianqian Fang, % % input: % v: list of nodes of the input surface % f: list of triangles of the input surface % maxdiameter: maximum bounding box size for surface removal % % ouput: % fnew: new face list after removing the components smaller than % maxdiameter % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % fc=finddisconnsurf(f); for i=1:length(fc) xdia=v(fc{i},1); xdia=max(xdia(:))-min(xdia(:)); if(xdia<=maxdiameter) fc{i}=[]; continue; end ydia=v(fc{i},2); ydia=max(ydia(:))-min(ydia(:)); if(ydia<=maxdiameter) fc{i}=[]; continue; end zdia=v(fc{i},3); zdia=max(zdia(:))-min(zdia(:)); if(zdia<=maxdiameter) fc{i}=[]; continue; end end fnew=[]; for i=1:length(fc) if(length(fc{i})) fnew=[fnew;fc{i}]; end end if(size(fnew,1)~=size(f,1)) fprintf(1,'removed %d elements of small isolated surfaces',size(f,1)-size(fnew,1)); end octave-iso2mesh-1.9.6+ds/loadjnifti.m0000644001356000007640000000434513724766530016441 0ustar fangqadminfunction jnii=loadjnifti(filename, varargin) % % jnii=loadjnifti(inputfile) % or % jnii=loadjnifti(inputfile, 'Param1',value1, 'Param2',value2,...) % % Load a standard NIFTI-1/2 file or text or binary JNIfTI file with % format defined in JNIfTI specification: https://github.com/fangq/jnifti % % author: Qianqian Fang (q.fang neu.edu) % % input: % inputfile: the output file name to the JNIfTI or NIFTI-1/2 file % *.bnii for binary JNIfTI file % *.jnii for text JNIfTI file % *.nii for NIFTI-1/2 files % options: (optional) if loading from a .bnii file, please see the options for % loadubjson.m (part of JSONLab); if loading from a .jnii, please see the % supported options for loadjson.m (part of JSONLab). % % output: % jnii: a structure (array) or cell (array). The data structure can % be completely generic or auxilary data without any JNIfTI % constructs. However, if a JNIfTI object is included, it shall % contain the below subfields (can appear within any depth of the % structure) % jnii.NIFTIHeader - a structure containing the 1-to-1 mapped NIFTI-1/2 header % jnii.NIFTIData - the main image data array % jnii.NIFTIExtension - a cell array contaiing the extension data buffers % % example: % jnii=jnifticreate(uint8(magic(10)),'Name','10x10 magic matrix'); % savejnifti(jnii, 'magic10.jnii') % newjnii=loadjnifti('magic10.jnii'); % % this file is part of JNIfTI specification: https://github.com/fangq/jnifti % % License: Apache 2.0, see https://github.com/fangq/jnifti for details % if(nargin<1) error('you must provide data and output file name'); end if(~exist('savejson','file')) error('you must first install JSONLab from http://github.com/fangq/jsonlab/'); end if(regexp(filename,'\.nii$')) jnii=nii2jnii(filename,'jnii'); elseif(regexp(filename,'\.jnii$')) jnii=loadjson(filename,varargin{:}); elseif(regexp(filename,'\.bnii$')) jnii=loadubjson(filename,varargin{:}); else error('file suffix must be .jnii for text JNIfTI, .bnii for binary JNIfTI or .nii for NIFTI-1/2 files'); end octave-iso2mesh-1.9.6+ds/savedxf.m0000644001356000007640000000260613724766530015754 0ustar fangqadminfunction savedxf(node,face,elem,fname) % % savedxf(node,face,elem,fname) % % save a surface mesh to DXF format % % author: Qianqian Fang, % date: 2010/04/25 % % input: % node: input, surface node list, dimension (nn,3) % face: input, surface face element list, dimension (be,3) % elem: input, tetrahedral element list, dimension (ne,4) % fname: output file name % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % if(nargin==2) fname=face; face=[]; elem=[]; end if(nargin==3) fname=elem; elem=[]; end fid=fopen(fname,'wt'); if(fid==-1) error('You do not have permission to save mesh files.'); end fprintf(fid,'0\nSECTION\n2\nHEADER\n0\nENDSEC\n0\nSECTION\n2\nENTITIES\n'); if(~isempty(face)) fprintf(fid,'0\nPOLYLINE\n66\n1\n8\nI2M\n70\n64\n71\n%d\n72\n%d\n',size(node,1),size(face,1)); end if(~isempty(node)) node=node(:,1:3); fprintf(fid,'0\nVERTEX\n8\nI2M\n10\n%.16f\n20\n%.16f\n30\n%.16f\n70\n192\n',node'); end if(~isempty(face)) face=face(:,1:3); fprintf(fid,'0\nVERTEX\n8\nI2M\n62\n254\n10\n0.0\n20\n0.0\n30\n0.0\n70\n128\n71\n%d\n72\n%d\n73\n%d\n',face'); end fprintf(fid,'0\nSEQEND\n0\nENDSEC\n'); if(~isempty(face)) fprintf(fid,'0\nSECTION\n2\nENTITIES\n0\nINSERT\n8\n1\n2\nMesh\n10\n0.0\n20\n0.0\n30\n0.0\n41\n1.0\n42\n1.0\n43\n1.0\n50\n0.0\n0\nENDSEC\n'); end fprintf(fid,'0\nEOF'); fclose(fid); octave-iso2mesh-1.9.6+ds/qmeshcut.m0000644001356000007640000001613313724766530016145 0ustar fangqadminfunction [cutpos,cutvalue,facedata,elemid]=qmeshcut(elem,node,value,cutat,varargin) % % [cutpos,cutvalue,facedata,elemid]=qmeshcut(elem,node,value,cutat) % % fast tetrahedral mesh slicer % % author:Qianqian Fang, % % input: % elem: integer array with dimensions of NE x 4, each row contains % the indices of all the nodes for each tetrahedron % node: node coordinates, 3 columns for x, y and z respectively % value: a scalar array with the length of node numbers, can have % multiple columns % cutat: cutat can have different forms: % if cutat is a 3x3 matrix, it defines a plane by 3 points: % cutat=[x1 y1 z1;x2 y2 z2;x3 y3 z3] % if cutat is a vector of 4 element, it defines a plane by % a*x+b*y+c*z+d=0 and cutat=[a b c d] % if cutat is a single scalar, it defines an isosurface % inside the mesh at value=cutat % if cutat is a string, it defines an implicit surface % at which the cut is made. it must has form expr1=expr2 % where expr1 expr2 are expressions made of x,y,z,v and % constants % if cutat is a cell in the form of {'expression',scalar}, % the expression will be evaluated at each node to % produce a new value, then an isosurface is produced % at the levelset where new value=scalar; the % expression can contain constants and x,y,z,v % % output: % cutpos: all the intersections of mesh edges by the cutat % cutpos is similar to node, containing 3 columns for x/y/z % cutvalue: interpolated values at the intersections, with row number % being the num. of the intersections, column number being the % same as "value". % facedata: define the intersection polygons in the form of patch "Faces" % elemid: the index of the elem in which each intersection polygon locates % % without any output, qmeshcut generates a cross-section plot % % the outputs of this subroutine can be easily plotted using % % % if value has a length of node: % patch('Vertices',cutpos,'Faces',facedata,'FaceVertexCData',cutvalue,'FaceColor','interp'); % % % if value has a length of elem: % patch('Vertices',cutpos,'Faces',facedata,'CData',cutvalue,'FaceColor','flat'); % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % % get the coefficients of the cutat equation: ax+by+cz+d=0 if(nargin<4) error('qmeshcut requires at least 4 inputs'); end if(size(value,1)~=size(node,1) && size(value,1)~=size(elem,1) && ~isempty(value)) error('the length of value must be either that of node or elem'); end if(isempty(value)) cutvalue=[]; end if(ischar(cutat) || (iscell(cutat) && length(cutat)==2 && ischar(cutat{1}))) x=node(:,1); y=node(:,2); z=node(:,3); if(ischar(cutat)) expr=regexp(cutat,'(.+)=(.+)','tokens','once'); %regexp(cutat,'=','split'); if(length(expr)~=2) error('single expression must contain a single "=" sign'); end dist=eval(expr{1})-eval(expr{2}); else dist=eval(cutat{1})-cutat{2}; end if(all(dist<=0)) asign=-double(dist<0); asign(asign==0)=1; else asign=double(dist>0); asign(asign==0)=-1; end elseif(numel(cutat)==9 || numel(cutat)==4) if(numel(cutat)==9) [a,b,c,d]=getplanefrom3pt(cutat); else [a,b,c,d]=deal(cutat(:)); end % compute which side of the cutat for all nodes in the mesh co=repmat([a b c],size(node,1),1); dist=sum( (co.*node)' )+d; asign=dist; asign(find(asign>=0))=1; asign(find(asign<0))=-1; else if(size(value,1)~=size(node,1)) error('must use nodal value list when cutting mesh at an isovalue'); end dist=value-cutat; if(all(dist<=0)) asign=-double(dist<0); asign(asign==0)=1; else asign=double(dist>0); asign(asign==0)=-1; end end % get all the edges of the mesh esize=size(elem,2); if(esize==4) edges=[elem(:,[1,2]);elem(:,[1,3]);elem(:,[1,4]); elem(:,[2,3]);elem(:,[2,4]);elem(:,[3,4])]; elseif(esize==3) edges=[elem(:,[1,2]);elem(:,[1,3]);elem(:,[2,3])]; elseif(esize==10) edges=[elem(:,[1,5]);elem(:,[1,8]);elem(:,[1,7]); elem(:,[2,5]);elem(:,[2,6]);elem(:,[2,9]); elem(:,[3,6]);elem(:,[3,7]);elem(:,[3,10]); elem(:,[4,8]);elem(:,[4,9]);elem(:,[4,10])]; end % find all edges with two ends at the both sides of the plane edgemask=sum(asign(edges),2); cutedges=find(edgemask==0); %edgemask=prod(asign(edges)'); %cutedges=find(edgemask<0); % calculate the distances of the two nodes, and use them as interpolation weight cutweight=dist(edges(cutedges,:)); totalweight=diff(cutweight'); %caveat: if an edge is co-planar to the cutat, then totalweight will be 0 % and dividing zero will cause trouble for cutweight cutweight=abs(cutweight./repmat(totalweight(:),1,2)); % calculate the cross-cut position and the interpolated values cutpos=node(edges(cutedges,1),:).*repmat(cutweight(:,2),[1 3])+... node(edges(cutedges,2),:).*repmat(cutweight(:,1),[1 3]); if(size(value,1)==size(node,1)) if(iscell(cutat) || ischar(cutat) || numel(cutat)==9 || numel(cutat)==4) cutvalue=value(edges(cutedges,1),:).*repmat(cutweight(:,2),[1 size(value,2)])+... value(edges(cutedges,2),:).*repmat(cutweight(:,1),[1 size(value,2)]); elseif(numel(cutat)==1) cutvalue=ones(size(cutpos,1),1)*cutat; end end % organize all cross-cuts into patch facedata format emap=zeros(size(edges,1),1); emap(cutedges)=1:length(cutedges); if(esize==10) emap=reshape(emap,[size(elem,1),12]); % 10-node element else emap=reshape(emap,[size(elem,1),esize*(esize-1)/2]); % C^n_2 end faceid=find(any(emap,2)==1); facelen=length(faceid); % cross-cuts can only be triangles or quadrilaterals for tetrahedral mesh % (co-plannar mesh needs to be considered) etag=sum(emap>0,2); % emap && etag are of length size(elem,1) if(esize==3) % surface mesh cut by a plane linecut=find(etag==2); lineseg=emap(linecut,:)'; facedata=reshape(lineseg(find(lineseg)),[2,length(linecut)])'; elemid=linecut; if(size(value,1)==size(elem,1) && ~exist('cutvalue','var')) cutvalue=value(elemid,:); end return; end tricut=find(etag==3); quadcut=find(etag==4); elemid=[tricut(:);quadcut(:)]; if(size(value,1)==size(elem,1) && ~exist('cutvalue','var')) cutvalue=value(elemid,:); end % fast way (vector-form) to get all triangles tripatch=emap(tricut,:)'; tripatch=reshape(tripatch(find(tripatch)),[3,length(tricut)])'; % fast way to get all quadrilaterals in convexhull form (avoid using % convhulln) quadpatch=emap(quadcut,:)'; quadpatch=reshape(quadpatch(find(quadpatch)),[4,length(quadpatch)])'; % combine the two sets to create the final facedata % using the matching-tetrahedra algorithm as shown in % https://visualization.hpc.mil/wiki/Marching_Tetrahedra facedata=[tripatch(:,[1 2 3 3]); quadpatch(:,[1 2 4 3])]; % plot your results with the following command if(nargout==0) patch('Vertices',cutpos,'Faces',facedata,'FaceVertexCData',cutvalue,'facecolor','interp',varargin{:}); end octave-iso2mesh-1.9.6+ds/COPYING.txt0000644001356000007640000004532413724766530016013 0ustar fangqadmin=============================================================================== = Iso2Mesh = = An image-based 3D surface and volumetric mesh generator = =============================================================================== Copyright (C) 2007-2020 Qianqian Fang ------------------------------------------------------------------------------- This program is free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with this program. If not, see . ------------------------------------------------------------------------ GNU GENERAL PUBLIC LICENSE Version 2, June 1991 Copyright (C) 1989, 1991 Free Software Foundation, Inc. 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA Everyone is permitted to copy and distribute verbatim copies of this license document, but changing it is not allowed. Preamble The licenses for most software are designed to take away your freedom to share and change it. By contrast, the GNU General Public License is intended to guarantee your freedom to share and change free software--to make sure the software is free for all its users. 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We wish to avoid the danger that redistributors of a free program will individually obtain patent licenses, in effect making the program proprietary. To prevent this, we have made it clear that any patent must be licensed for everyone's free use or not licensed at all. The precise terms and conditions for copying, distribution and modification follow. GNU GENERAL PUBLIC LICENSE TERMS AND CONDITIONS FOR COPYING, DISTRIBUTION AND MODIFICATION 0. This License applies to any program or other work which contains a notice placed by the copyright holder saying it may be distributed under the terms of this General Public License. The "Program", below, refers to any such program or work, and a "work based on the Program" means either the Program or any derivative work under copyright law: that is to say, a work containing the Program or a portion of it, either verbatim or with modifications and/or translated into another language. (Hereinafter, translation is included without limitation in the term "modification".) Each licensee is addressed as "you". Activities other than copying, distribution and modification are not covered by this License; they are outside its scope. The act of running the Program is not restricted, and the output from the Program is covered only if its contents constitute a work based on the Program (independent of having been made by running the Program). Whether that is true depends on what the Program does. 1. You may copy and distribute verbatim copies of the Program's source code as you receive it, in any medium, provided that you conspicuously and appropriately publish on each copy an appropriate copyright notice and disclaimer of warranty; keep intact all the notices that refer to this License and to the absence of any warranty; and give any other recipients of the Program a copy of this License along with the Program. You may charge a fee for the physical act of transferring a copy, and you may at your option offer warranty protection in exchange for a fee. 2. You may modify your copy or copies of the Program or any portion of it, thus forming a work based on the Program, and copy and distribute such modifications or work under the terms of Section 1 above, provided that you also meet all of these conditions: a) You must cause the modified files to carry prominent notices stating that you changed the files and the date of any change. b) You must cause any work that you distribute or publish, that in whole or in part contains or is derived from the Program or any part thereof, to be licensed as a whole at no charge to all third parties under the terms of this License. c) If the modified program normally reads commands interactively when run, you must cause it, when started running for such interactive use in the most ordinary way, to print or display an announcement including an appropriate copyright notice and a notice that there is no warranty (or else, saying that you provide a warranty) and that users may redistribute the program under these conditions, and telling the user how to view a copy of this License. (Exception: if the Program itself is interactive but does not normally print such an announcement, your work based on the Program is not required to print an announcement.) These requirements apply to the modified work as a whole. If identifiable sections of that work are not derived from the Program, and can be reasonably considered independent and separate works in themselves, then this License, and its terms, do not apply to those sections when you distribute them as separate works. But when you distribute the same sections as part of a whole which is a work based on the Program, the distribution of the whole must be on the terms of this License, whose permissions for other licensees extend to the entire whole, and thus to each and every part regardless of who wrote it. Thus, it is not the intent of this section to claim rights or contest your rights to work written entirely by you; rather, the intent is to exercise the right to control the distribution of derivative or collective works based on the Program. In addition, mere aggregation of another work not based on the Program with the Program (or with a work based on the Program) on a volume of a storage or distribution medium does not bring the other work under the scope of this License. 3. You may copy and distribute the Program (or a work based on it, under Section 2) in object code or executable form under the terms of Sections 1 and 2 above provided that you also do one of the following: a) Accompany it with the complete corresponding machine-readable source code, which must be distributed under the terms of Sections 1 and 2 above on a medium customarily used for software interchange; or, b) Accompany it with a written offer, valid for at least three years, to give any third party, for a charge no more than your cost of physically performing source distribution, a complete machine-readable copy of the corresponding source code, to be distributed under the terms of Sections 1 and 2 above on a medium customarily used for software interchange; or, c) Accompany it with the information you received as to the offer to distribute corresponding source code. (This alternative is allowed only for noncommercial distribution and only if you received the program in object code or executable form with such an offer, in accord with Subsection b above.) The source code for a work means the preferred form of the work for making modifications to it. For an executable work, complete source code means all the source code for all modules it contains, plus any associated interface definition files, plus the scripts used to control compilation and installation of the executable. However, as a special exception, the source code distributed need not include anything that is normally distributed (in either source or binary form) with the major components (compiler, kernel, and so on) of the operating system on which the executable runs, unless that component itself accompanies the executable. If distribution of executable or object code is made by offering access to copy from a designated place, then offering equivalent access to copy the source code from the same place counts as distribution of the source code, even though third parties are not compelled to copy the source along with the object code. 4. You may not copy, modify, sublicense, or distribute the Program except as expressly provided under this License. Any attempt otherwise to copy, modify, sublicense or distribute the Program is void, and will automatically terminate your rights under this License. However, parties who have received copies, or rights, from you under this License will not have their licenses terminated so long as such parties remain in full compliance. 5. You are not required to accept this License, since you have not signed it. However, nothing else grants you permission to modify or distribute the Program or its derivative works. These actions are prohibited by law if you do not accept this License. Therefore, by modifying or distributing the Program (or any work based on the Program), you indicate your acceptance of this License to do so, and all its terms and conditions for copying, distributing or modifying the Program or works based on it. 6. Each time you redistribute the Program (or any work based on the Program), the recipient automatically receives a license from the original licensor to copy, distribute or modify the Program subject to these terms and conditions. You may not impose any further restrictions on the recipients' exercise of the rights granted herein. You are not responsible for enforcing compliance by third parties to this License. 7. If, as a consequence of a court judgment or allegation of patent infringement or for any other reason (not limited to patent issues), conditions are imposed on you (whether by court order, agreement or otherwise) that contradict the conditions of this License, they do not excuse you from the conditions of this License. If you cannot distribute so as to satisfy simultaneously your obligations under this License and any other pertinent obligations, then as a consequence you may not distribute the Program at all. For example, if a patent license would not permit royalty-free redistribution of the Program by all those who receive copies directly or indirectly through you, then the only way you could satisfy both it and this License would be to refrain entirely from distribution of the Program. If any portion of this section is held invalid or unenforceable under any particular circumstance, the balance of the section is intended to apply and the section as a whole is intended to apply in other circumstances. It is not the purpose of this section to induce you to infringe any patents or other property right claims or to contest validity of any such claims; this section has the sole purpose of protecting the integrity of the free software distribution system, which is implemented by public license practices. Many people have made generous contributions to the wide range of software distributed through that system in reliance on consistent application of that system; it is up to the author/donor to decide if he or she is willing to distribute software through any other system and a licensee cannot impose that choice. This section is intended to make thoroughly clear what is believed to be a consequence of the rest of this License. 8. If the distribution and/or use of the Program is restricted in certain countries either by patents or by copyrighted interfaces, the original copyright holder who places the Program under this License may add an explicit geographical distribution limitation excluding those countries, so that distribution is permitted only in or among countries not thus excluded. In such case, this License incorporates the limitation as if written in the body of this License. 9. The Free Software Foundation may publish revised and/or new versions of the General Public License from time to time. Such new versions will be similar in spirit to the present version, but may differ in detail to address new problems or concerns. Each version is given a distinguishing version number. If the Program specifies a version number of this License which applies to it and "any later version", you have the option of following the terms and conditions either of that version or of any later version published by the Free Software Foundation. If the Program does not specify a version number of this License, you may choose any version ever published by the Free Software Foundation. 10. If you wish to incorporate parts of the Program into other free programs whose distribution conditions are different, write to the author to ask for permission. For software which is copyrighted by the Free Software Foundation, write to the Free Software Foundation; we sometimes make exceptions for this. Our decision will be guided by the two goals of preserving the free status of all derivatives of our free software and of promoting the sharing and reuse of software generally. NO WARRANTY 11. BECAUSE THE PROGRAM IS LICENSED FREE OF CHARGE, THERE IS NO WARRANTY FOR THE PROGRAM, TO THE EXTENT PERMITTED BY APPLICABLE LAW. EXCEPT WHEN OTHERWISE STATED IN WRITING THE COPYRIGHT HOLDERS AND/OR OTHER PARTIES PROVIDE THE PROGRAM "AS IS" WITHOUT WARRANTY OF ANY KIND, EITHER EXPRESSED OR IMPLIED, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE. THE ENTIRE RISK AS TO THE QUALITY AND PERFORMANCE OF THE PROGRAM IS WITH YOU. SHOULD THE PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF ALL NECESSARY SERVICING, REPAIR OR CORRECTION. 12. IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MAY MODIFY AND/OR REDISTRIBUTE THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES, INCLUDING ANY GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING OUT OF THE USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED TO LOSS OF DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY YOU OR THIRD PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER PROGRAMS), EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF SUCH DAMAGES. END OF TERMS AND CONDITIONS How to Apply These Terms to Your New Programs If you develop a new program, and you want it to be of the greatest possible use to the public, the best way to achieve this is to make it free software which everyone can redistribute and change under these terms. To do so, attach the following notices to the program. It is safest to attach them to the start of each source file to most effectively convey the exclusion of warranty; and each file should have at least the "copyright" line and a pointer to where the full notice is found. Copyright (C) This program is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with this program; if not, write to the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA Also add information on how to contact you by electronic and paper mail. If the program is interactive, make it output a short notice like this when it starts in an interactive mode: Gnomovision version 69, Copyright (C) year name of author Gnomovision comes with ABSOLUTELY NO WARRANTY; for details type `show w'. This is free software, and you are welcome to redistribute it under certain conditions; type `show c' for details. The hypothetical commands `show w' and `show c' should show the appropriate parts of the General Public License. Of course, the commands you use may be called something other than `show w' and `show c'; they could even be mouse-clicks or menu items--whatever suits your program. You should also get your employer (if you work as a programmer) or your school, if any, to sign a "copyright disclaimer" for the program, if necessary. Here is a sample; alter the names: Yoyodyne, Inc., hereby disclaims all copyright interest in the program `Gnomovision' (which makes passes at compilers) written by James Hacker. , 1 April 1989 Ty Coon, President of Vice This General Public License does not permit incorporating your program into proprietary programs. If your program is a subroutine library, you may consider it more useful to permit linking proprietary applications with the library. If this is what you want to do, use the GNU Library General Public License instead of this License. octave-iso2mesh-1.9.6+ds/volface.m0000644001356000007640000000112213724766530015723 0ustar fangqadminfunction varargout=volface(t) % % [openface,elemid]=volface(t) % % find the surface patches of a volume % % author: Qianqian Fang, % date: 2009/10/13 % % input: % t: input, volumetric element list, dimension (ne,4) % % output: % openface: list of faces of the specified volume % elemid (optional): the corresponding index of the % tetrahedron of an open-edge or triangle, % elemid has the same length as openedge. % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % [varargout{1:nargout}]=surfedge(t); octave-iso2mesh-1.9.6+ds/metchgui_one.m0000644001356000007640000012644113724766530016766 0ustar fangqadminfunction varargout = metchgui_one(varargin) % alldata = metchgui_one(node,elem,points) or metchgui_one(volume,points,pface) % % A GUI to register a point cloud to a mesh or volumetric image % % author: Qianqian Fang % date: 12/16/2008 % % parameters: % node: node coordinate of the surface mesh (nn x 3) % elem: element list of the surface mesh (3 columns for % triangular mesh, 4 columns for cubic surface mesh) % points: the coordinates (3 columns for x/y/z) of the % point cloud which you want to register % pface:trianglular surface defined on the point cloud. % pface is optional; if presents, metch will display % a surface object instead of a point cloud. % % the input can also be two parameters in form of metchgui_one(volume,points), % where volume is a 3D image (array). % % outputs: % alldata: a structrure containing all processing outputs % the fields include: % .node: the input node % .elem: the input surface mesh elements % .volume: if the input volumetric image % .A0: the affine rotation for selected point pairs (after Initialize) % .b0: the affine translation for selected point pairs (after Initialize) % .A: the affine rotation for the point cloud (after Optimize) % .b: the affine translation for the point cloud (after Optimize) % .points: the input point cloud % .pointsinit: the point cloud after initialization % .pointsopt: the point cloud after optimization % .pointsproj: the point cloud after projecting to the surface % .initplot: the handle to the point cloud plot after init % .optplot: the handle to the point cloud plot after optimization % .projplot: the handle to the point cloud plot after projection % % If user supplys an output variable, the GUI will not return until the % user hits the "close" button or close the window; if user does not % supply any output, the call will return immediately; any data user % intends to save, he has to click on "Save Session" button and provides % a mat-file file name. A single structure named "metchsession" will be % stored in this file. % % example: (meshasphere/meshunitsphere are defined in iso2mesh http://iso2mesh.sf.net) % % [noderef,faceref,elemref]=meshunitsphere(0.08,10); % [no,fc]=removeisolatednode(noderef(:,1:3),faceref(:,1:3)); % [node,face,elem]=meshasphere([10 20 15],3,0.5,10); % [no2,fc2]=removeisolatednode(node(:,1:3),face(:,1:3)); % alldata = metchgui(no,fc,no2); % % or alldata = metchgui(no,fc,no2,fc2); % % Please find more information at http://iso2mesh.sf.net/cgi-bin/index.cgi?metch % % this function is part of "metch" toobox, see COPYING for license % Begin initialization code - DO NOT EDIT gui_Singleton = 1; gui_State = struct('gui_Name', mfilename, ... 'gui_Singleton', gui_Singleton, ... 'gui_OpeningFcn', @metchgui_one_OpeningFcn, ... 'gui_OutputFcn', @metchgui_one_OutputFcn, ... 'gui_LayoutFcn', @metchgui_one_LayoutFcn, ... 'gui_Callback', []); if nargin && ischar(varargin{1}) gui_State.gui_Callback = str2func(varargin{1}); end if nargout [varargout{1:nargout}] = gui_mainfcn(gui_State, varargin{:}, 'hasoutput'); else gui_mainfcn(gui_State, varargin{:}); end % End initialization code - DO NOT EDIT % --- Executes just before metchgui_one is made visible. function metchgui_one_OpeningFcn(hObject, eventdata, handles, varargin) handles.hasoutput=0; if(isempty(varargin)) fprintf(1,'Metch GUI must be called with parameters:\nFormat: alldata = metchgui_one(node,elem,points,pface);\n'); close(handles.MetchGUI); return; end if(ischar(varargin{end}) && strcmp(varargin{end},'hasoutput')) handles.hasoutput=1; varargin(end)=[]; end handles.output = hObject; set(handles.btAddMeshPt,'userdata',[handles.axMesh,handles.btAddMeshPt,handles.btAddCloudPt]); set(handles.btAddCloudPt,'userdata',[handles.axMesh,handles.btAddCloudPt,handles.btAddMeshPt]); % if uses supplied 2 input variables, assume a volume image and a point cloud if(isnumeric(varargin{1}) && length(size(varargin{1}))==3) vol=varargin{1}; pt=varargin{2}; dat.volume=vol; dat.points=pt; slice=round(size(vol,3)/2); hs=imagesc(vol(:,:,slice),'parent',handles.axMesh); set(handles.slPos,'max',size(vol,3),'min',1,'value',slice); if(length(varargin)>=3) pface=varargin{3}; dat.pface=pface; trisurf(pface(:,1:3),pt(:,1),pt(:,2),pt(:,3),'parent',handles.axPoints); else %plot3(pt(:,1),pt(:,2),pt(:,3),'.','parent',handles.axPoints); ptcolor=(pt-repmat(min(pt),size(pt,1),1))./repmat(max(pt)-min(pt),size(pt,1),1); drawnow; scatter3(pt(:,1),pt(:,2),pt(:,3),3,ptcolor,'filled'); end set(handles.MetchGUI,'userdata',dat); axis(handles.axMesh,'equal'); axis(handles.axPoints,'equal'); axis(handles.axMesh,'off'); grid(handles.axPoints,'on'); %axis(handles.axPoints,'off'); set(handles.axMesh,'tag','axMesh'); set(handles.axPoints,'tag','axPoints'); set(handles.slPos,'visible','on'); set(handles.lbZPos,'visible','on'); rotate3d(handles.axPoints,'on'); rotate3d(gcf,'on'); end % if uses supplied 3 input variables, assume a surface mesh and a point cloud/surface if(length(varargin)>=3 && length(size(varargin{1}))==2) node=varargin{1}; elem=varargin{2}; pt=varargin{3}; dat.node=node; dat.elem=elem; dat.points=pt; if(length(varargin)>=4) pface=varargin{4}; dat.pface=pface; end set(handles.MetchGUI,'userdata',dat); drawinit(handles,dat) end guidata(hObject, handles); if(handles.hasoutput) uiwait(handles.MetchGUI); end %--------------------------------------------------------------------------- function drawinit(handles,dat) node=dat.node; elem=dat.elem; pt=dat.points; hs=trisurf(elem,node(:,1),node(:,2),node(:,3),'parent',handles.axMesh); %set(hs,'linestyle','none'); %set(hs,'facecolor','b','facealpha',0.8); %plot3(pt(:,1),pt(:,2),pt(:,3),'.','parent',handles.axPoints); if(~isfield(dat,'pface')) ptcolor=(pt-repmat(min(pt),size(pt,1),1))./repmat(max(pt)-min(pt),size(pt,1),1); drawnow; scatter3(pt(:,1),pt(:,2),pt(:,3),3,ptcolor,'filled'); else trisurf(dat.pface,pt(:,1),pt(:,2),pt(:,3),'parent',handles.axPoints); end %hold(handles.axPoints,'on'); %plot3(pt(5:7,1),pt(5:7,2),pt(5:7,3),'ro','parent',handles.axPoints); axis(handles.axMesh,'equal'); axis(handles.axPoints,'equal'); axis(handles.axMesh,'off'); %axis(handles.axPoints,'off'); set(handles.axMesh,'tag','axMesh'); set(handles.axPoints,'tag','axPoints'); if(~exist('OCTAVE_VERSION')) rotate3d(handles.axPoints,'on'); rotate3d(handles.axMesh,'on'); end rotate3d(gcf,'on'); %--------------------------------------------------------------------------- function varargout = metchgui_one_OutputFcn(hObject, eventdata, handles) if(length(handles) && isfield(handles,'output') && isfield(handles,'hasoutput') && handles.hasoutput) handles.output=get(handles.MetchGUI,'userdata'); varargout{1} =handles.output; close(handles.MetchGUI); end %--------------------------------------------------------------------------- function lbMesh_CreateFcn(hObject, eventdata, handles) if ispc && isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor')) set(hObject,'BackgroundColor','white'); end %--------------------------------------------------------------------------- function lbPoints_CreateFcn(hObject, eventdata, handles) if ispc && isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor')) set(hObject,'BackgroundColor','white'); end %--------------------------------------------------------------------------- function edit1_CreateFcn(hObject, eventdata, handles) if ispc && isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor')) set(hObject,'BackgroundColor','white'); end %--------------------------------------------------------------------------- function edit2_CreateFcn(hObject, eventdata, handles) if ispc && isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor')) set(hObject,'BackgroundColor','white'); end %--------------------------------------------------------------------------- function edit3_CreateFcn(hObject, eventdata, handles) if ispc && isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor')) set(hObject,'BackgroundColor','white'); end %--------------------------------------------------------------------------- function isSelect_Callback(hObject, eventdata, handles) if(get(hObject,'Value')) datacursormode(gcf,'on'); set(datacursormode(gcf),'UpdateFcn',@myupdatefcn) else datacursormode(gcf,'off'); rotate3d(gcf,'on'); end %--------------------------------------------------------------------------- % the respond function when there is a data-tip to popup %--------------------------------------------------------------------------- function txt=myupdatefcn(empt,event_obj) pos = get(event_obj,'Position'); idx= get(event_obj,'DataIndex'); if(length(pos)==3) txt = {['x: ',num2str(pos(1))],... ['y: ',num2str(pos(2))],['z: ',num2str(pos(3))],['index:', num2str(idx)]}; elseif(length(pos)==2) txt = {['x: ',num2str(pos(1))],['y: ',num2str(pos(2))]}; end targetup=get(get(event_obj,'Target'),'parent'); set(targetup,'userdata',struct('pos',pos,'idx',idx)); if(targetup==findobj('tag','axMesh')) set(findobj('tag','btAddMeshPt'),'enable','on'); set(findobj('tag','btAddCloudPt'),'enable','off'); elseif(targetup==findobj('tag','axPoints')) set(findobj('tag','btAddMeshPt'),'enable','off'); set(findobj('tag','btAddCloudPt'),'enable','on'); end %--------------------------------------------------------------------------- function bInit_Callback(hObject, eventdata, handles) mapto=get(handles.lbMesh,'userdata'); mapfrom=get(handles.lbPoints,'userdata'); maptoidx=get(handles.txMapTo,'userdata'); mapfromidx=get(handles.txMapFrom,'userdata'); if(length(mapto)<4 | length(mapfrom)<4) msgbox('You have to select >3 points from the point cloud plot and corresponding points from the mesh','Error','error'); return; end [A,b]=affinemap(mapfrom,mapto) dat=get(handles.MetchGUI,'userdata'); dat.A0=A; dat.b0=b; newpt=(A*dat.points'+repmat(b(:),1,size(dat.points,1)))'; dat.pointsinit=newpt; hold(handles.axMesh,'on'); if(isfield(dat,'initplot')) delete dat.initplot; dat.initplot=0; end dat.initplot=plot3(newpt(:,1),newpt(:,2),newpt(:,3),'r.','parent',handles.axMesh); dat.fromidx=mapfromidx; dat.toidx=maptoidx; set(handles.MetchGUI,'userdata',dat); %--------------------------------------------------------------------------- function axPoints_ButtonDownFcn(hObject, eventdata, handles) if(get(handles.btSelect,'value')==1) pp=getCursorInfo(datacursormode(gcf)); str=[get(handles.lbPoints,'string');mat2str(pp.Position)]; set(handles.lbPoints,'string',str); end %--------------------------------------------------------------------------- function addselectedpt(pos,idx,lb) if(isempty(get(lb,'value'))) set(lb,'value',1); end listpt=get(lb,'string'); listpt{end+1}=[num2str(idx) ':' mat2str(pos)]; set(lb,'string',listpt); set(lb,'userdata',[get(lb,'userdata');pos]); %--------------------------------------------------------------------------- function btAddMeshPt_Callback(hObject, eventdata, handles) dat=get(handles.axMesh,'userdata'); dat0=get(handles.MetchGUI,'userdata'); if(isfield(dat0,'volume')) dat.pos(:,3)=get(handles.slPos,'value'); end if(isfield(dat,'pos')) addselectedpt(dat.pos,dat.idx,handles.lbMesh); set(handles.txMapTo,'userdata',[get(handles.txMapTo,'userdata');dat.idx]); dat0.mapto=get(handles.lbMesh,'userdata'); dat0.maptoidx=get(handles.txMapTo,'userdata'); set(handles.MetchGUI,'userdata',dat0); else msgbox('No point was selected. Please click on "Select" and select a point on the mesh or point cloud','Error','error'); return; end %--------------------------------------------------------------------------- function btAddCloudPt_Callback(hObject, eventdata, handles) dat=get(handles.axPoints,'userdata'); dat0=get(handles.MetchGUI,'userdata'); if(isfield(dat,'pos')) addselectedpt(dat.pos,dat.idx,handles.lbPoints); set(handles.txMapFrom,'userdata',[get(handles.txMapFrom,'userdata');dat.idx]); dat0.mapfrom=get(handles.lbPoints,'userdata'); dat0.mapfromidx=get(handles.txMapFrom,'userdata'); set(handles.MetchGUI,'userdata',dat0); else msgbox('No point was selected. Please click on "Select" and select a point on the mesh or point cloud','Error','error'); return; end %--------------------------------------------------------------------------- function btOptimize_Callback(hObject, eventdata, handles) dat=get(handles.MetchGUI,'userdata'); if(isfield(dat,'A0') && isfield(dat,'b0')& isfield(dat,'node')& isfield(dat,'elem')& ... isfield(dat,'pointsinit')& isfield(dat,'toidx')& isfield(dat,'fromidx')) pmask=-1*ones(size(dat.pointsinit,1),1); pmask(dat.fromidx)=dat.toidx; if(isfield(dat,'A') && isfield(dat,'b')) [Anew,bnew,posnew]=regpt2surf(dat.node,dat.elem,dat.points,pmask,dat.A,dat.b,ones(12,1),10); else [Anew,bnew,posnew]=regpt2surf(dat.node,dat.elem,dat.points,pmask,dat.A0,dat.b0,ones(12,1),10); end dat.A=Anew; dat.b=bnew; dat.pointsopt=posnew; if(isfield(dat,'optplot') && dat.optplot) delete dat.optplot; dat.optplot=0; end dat.optplot=plot3(posnew(:,1),posnew(:,2),posnew(:,3),'g+','parent',handles.axMesh); else msgbox('You have to select 4 points and click "Initialize" button first','Error','error'); return; end set(handles.MetchGUI,'userdata',dat); %--------------------------------------------------------------------------- function slPos_Callback(hObject, eventdata, handles) dat=get(handles.MetchGUI,'userdata'); if(isfield(dat,'volume')) hold(handles.axMesh,'off'); imagesc(dat.volume(:,:,round(get(hObject,'value'))),'parent',handles.axMesh); set(handles.axMesh,'tag','axMesh'); set(handles.lbZPos,'string',num2str(round(get(hObject,'value')))); end set(handles.MetchGUI,'userdata',dat); %--------------------------------------------------------------------------- function slPos_CreateFcn(hObject, eventdata, handles) if isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor')) set(hObject,'BackgroundColor',[.9 .9 .9]); end %-------------------------------------------------------------------------- function btProj_Callback(hObject, eventdata, handles) dat=get(handles.MetchGUI,'userdata'); if(isfield(dat,'pointsopt')) if(isfield(dat,'projplot') && dat.projplot) delete dat.projplot; dat.projplot=0; end nv=nodesurfnorm(dat.node,dat.elem); [d2surf,cn]=dist2surf(dat.node,nv,dat.pointsopt); [dat.pointsproj dat.elemid dat.weight]=proj2mesh(dat.node,dat.elem,dat.pointsopt,nv,cn); hold(handles.axMesh,'on'); dat.projplot=plot3(dat.pointsproj(:,1),dat.pointsproj(:,2),dat.pointsproj(:,3),'c.','parent',handles.axMesh); else msgbox('You have to first select 4 points, then click "Initialize" and "Optimize" button','Error','error'); return; end set(handles.MetchGUI,'userdata',dat); %-------------------------------------------------------------------------- function btSaveRes_Callback(hObject, eventdata, handles) [filename, pathname] = uiputfile('*.mat', 'Save Metch Workspace as'); mapto=get(handles.lbMesh,'userdata'); mapfrom=get(handles.lbPoints,'userdata'); maptoidx=get(handles.txMapTo,'userdata'); mapfromidx=get(handles.txMapFrom,'userdata'); metchsession=get(handles.MetchGUI,'userdata'); if(~isempty(mapto)) metchsession.mapto=mapto; end if(~isempty(mapfrom)) metchsession.mapfrom=mapfrom; end if(~isempty(maptoidx)) metchsession.maptoidx=maptoidx; end if(~isempty(mapfromidx)) metchsession.mapfromidx=mapfromidx; end fname=[pathname filename]; save(fname,'metchsession'); %-------------------------------------------------------------------------- function btLoadSession_Callback(hObject, eventdata, handles) [filename, pathname] = uigetfile('*.mat', 'Load Metch Workspace from'); fname=[pathname filename]; load(fname); handle.output=metchsession; cla(handles.axMesh); cla(handles.axPoints); drawinit(handles,metchsession.node,metchsession.elem,metchsession.points); %-------------------------------------------------------------------------- function btPlotResults_Callback(hObject, eventdata, handles) function btClose_Callback(hObject, eventdata, handles) guidata(hObject,handles); uiresume; function btHelp_Callback(hObject, eventdata, handles) helpmsg={ 'Metch GUI: A mesh/volume registration toolbox', '', 'Author: Qianqian Fang ', ' Martinos Center for Biomedical Imaging', ' Charlestown, MA 02129, USA', '', '== Description of the workflow ==', '', ' 1. when the GUI pops up, it will display the mesh and the points,', ' you can rotate both plots so that you can identify the matching ', ' features', ' 2. switch on "Select" mode, then, click on a land-mark point on the point', ' plot, when a data-tip shows up, click "Add Selected" button', ' 3. click on the corresponding position on the mesh, and click', ' "Add Selected" ', ' 4. repeat the above for at least 4 point pairs (you can select more);', ' if you want to change views, switch off "Select" box and rotate;', ' after rotation, switch on "Select" box again', ' 5. click "Initialize": this will create the initial mapping using the', ' selected point pairs', ' 6. click "Optimize": this will fit the surface with the whole point cloud', ' 7. click "Proj2Mesh": this will project the fitted point clouds onto the', ' mesh', ' 8. you can quit the GUI by hit "Close", your results will be saved to reg', ' 9. close the window '}; helpdlg(helpmsg); % --- Creates and returns a handle to the GUI figure. function h1 = metchgui_one_LayoutFcn(policy) % policy - create a new figure or use a singleton. 'new' or 'reuse'. persistent hsingleton; if(strcmpi(policy, 'reuse')==1 && ~isempty(hsingleton) && ishandle(hsingleton)) h1 = hsingleton; return; end appdata = []; appdata.GUIDEOptions = struct(... 'active_h', [], ... 'taginfo', struct(... 'figure', 2, ... 'axes', 3, ... 'listbox', 3, ... 'edit', 4, ... 'text', 8, ... 'checkbox', 2, ... 'togglebutton', 3, ... 'pushbutton', 13, ... 'slider', 2), ... 'override', 0, ... 'release', 13, ... 'resize', 'none', ... 'accessibility', 'callback', ... 'mfile', 1, ... 'callbacks', 1, ... 'singleton', 1, ... 'syscolorfig', 1, ... 'blocking', 0, ... 'lastSavedFile', '/autofs/space/earth_002/users/fangq/pmihome/metch/metchgui_one.m'); appdata.lastValidTag = 'MetchGUI'; appdata.GUIDELayoutEditor = []; h1 = figure(... 'Units','characters',... 'PaperUnits',get(0,'defaultfigurePaperUnits'),... 'Color',[0.701960784313725 0.701960784313725 0.701960784313725],... 'Colormap',[0 0 0.5625;0 0 0.625;0 0 0.6875;0 0 0.75;0 0 0.8125;0 0 0.875;0 0 0.9375;0 0 1;0 0.0625 1;0 0.125 1;0 0.1875 1;0 0.25 1;0 0.3125 1;0 0.375 1;0 0.4375 1;0 0.5 1;0 0.5625 1;0 0.625 1;0 0.6875 1;0 0.75 1;0 0.8125 1;0 0.875 1;0 0.9375 1;0 1 1;0.0625 1 1;0.125 1 0.9375;0.1875 1 0.875;0.25 1 0.8125;0.3125 1 0.75;0.375 1 0.6875;0.4375 1 0.625;0.5 1 0.5625;0.5625 1 0.5;0.625 1 0.4375;0.6875 1 0.375;0.75 1 0.3125;0.8125 1 0.25;0.875 1 0.1875;0.9375 1 0.125;1 1 0.0625;1 1 0;1 0.9375 0;1 0.875 0;1 0.8125 0;1 0.75 0;1 0.6875 0;1 0.625 0;1 0.5625 0;1 0.5 0;1 0.4375 0;1 0.375 0;1 0.3125 0;1 0.25 0;1 0.1875 0;1 0.125 0;1 0.0625 0;1 0 0;0.9375 0 0;0.875 0 0;0.8125 0 0;0.75 0 0;0.6875 0 0;0.625 0 0;0.5625 0 0],... 'IntegerHandle','off',... 'InvertHardcopy',get(0,'defaultfigureInvertHardcopy'),... 'MenuBar','none',... 'Name','Metch GUI: A mesh/image registration utility',... 'NumberTitle','off',... 'PaperPosition',get(0,'defaultfigurePaperPosition'),... 'PaperSize',[20.98404194812 29.67743169791],... 'PaperType',get(0,'defaultfigurePaperType'),... 'Position',[103.8 16.8901098901099 144.5 44.5714285714286],... 'Resize','off',... 'HandleVisibility','callback',... 'Tag','MetchGUI',... 'UserData',[],... 'Visible','on',... 'CreateFcn', {@local_CreateFcn, '', appdata} ); appdata = []; appdata.lastValidTag = 'axMesh'; h2 = axes(... 'Parent',h1,... 'Units','characters',... 'Position',[2.83333333333333 3 80.5 39.3571428571429],... 'CameraPosition',[0.5 0.5 9.16025403784439],... 'CameraPositionMode',get(0,'defaultaxesCameraPositionMode'),... 'Color',get(0,'defaultaxesColor'),... 'ColorOrder',get(0,'defaultaxesColorOrder'),... 'LooseInset',[18.9583333333333 5.28 13.8541666666667 3.6],... 'XColor',get(0,'defaultaxesXColor'),... 'YColor',get(0,'defaultaxesYColor'),... 'ZColor',get(0,'defaultaxesZColor'),... 'ButtonDownFcn','metchgui_one(''axMesh_ButtonDownFcn'',gcbo,[],guidata(gcbo))',... 'Tag','axMesh',... 'CreateFcn', {@local_CreateFcn, '', appdata} ); h3 = get(h2,'title'); set(h3,... 'Parent',h2,... 'Units','data',... 'FontUnits','points',... 'BackgroundColor','none',... 'Color',[0 0 0],... 'EdgeColor','none',... 'FontAngle','normal',... 'FontName','Helvetica',... 'FontSize',10,... 'FontWeight','normal',... 'HorizontalAlignment','center',... 'LineStyle','-',... 'LineWidth',0.5,... 'Margin',2,... 'Position',[0.5 1.00998185117967 1.00005459937205],... 'Rotation',0,... 'String','',... 'Interpreter','tex',... 'VerticalAlignment','bottom',... 'ButtonDownFcn',[],... 'CreateFcn', {@local_CreateFcn, [], ''} ,... 'DeleteFcn',[],... 'BusyAction','queue',... 'HandleVisibility','off',... 'HitTest','on',... 'Interruptible','on',... 'SelectionHighlight','on',... 'Tag','',... 'UserData',[],... 'Visible','on',... 'XLimInclude','on',... 'YLimInclude','on',... 'ZLimInclude','on',... 'Clipping','off'); h4 = get(h2,'xlabel'); set(h4,... 'Parent',h2,... 'Units','data',... 'FontUnits','points',... 'BackgroundColor','none',... 'Color',[0 0 0],... 'EdgeColor','none',... 'FontAngle','normal',... 'FontName','Helvetica',... 'FontSize',10,... 'FontWeight','normal',... 'HorizontalAlignment','center',... 'LineStyle','-',... 'LineWidth',0.5,... 'Margin',2,... 'Position',[0.497929606625259 -0.0408348457350272 1.00005459937205],... 'Rotation',0,... 'String','',... 'Interpreter','tex',... 'VerticalAlignment','cap',... 'ButtonDownFcn',[],... 'CreateFcn', {@local_CreateFcn, [], ''} ,... 'DeleteFcn',[],... 'BusyAction','queue',... 'HandleVisibility','off',... 'HitTest','on',... 'Interruptible','on',... 'SelectionHighlight','on',... 'Tag','',... 'UserData',[],... 'Visible','on',... 'XLimInclude','on',... 'YLimInclude','on',... 'ZLimInclude','on',... 'Clipping','off'); h5 = get(h2,'ylabel'); set(h5,... 'Parent',h2,... 'Units','data',... 'FontUnits','points',... 'BackgroundColor','none',... 'Color',[0 0 0],... 'EdgeColor','none',... 'FontAngle','normal',... 'FontName','Helvetica',... 'FontSize',10,... 'FontWeight','normal',... 'HorizontalAlignment','center',... 'LineStyle','-',... 'LineWidth',0.5,... 'Margin',2,... 'Position',[-0.056935817805383 0.498185117967332 1.00005459937205],... 'Rotation',90,... 'String','',... 'Interpreter','tex',... 'VerticalAlignment','bottom',... 'ButtonDownFcn',[],... 'CreateFcn', {@local_CreateFcn, [], ''} ,... 'DeleteFcn',[],... 'BusyAction','queue',... 'HandleVisibility','off',... 'HitTest','on',... 'Interruptible','on',... 'SelectionHighlight','on',... 'Tag','',... 'UserData',[],... 'Visible','on',... 'XLimInclude','on',... 'YLimInclude','on',... 'ZLimInclude','on',... 'Clipping','off'); h6 = get(h2,'zlabel'); set(h6,... 'Parent',h2,... 'Units','data',... 'FontUnits','points',... 'BackgroundColor','none',... 'Color',[0 0 0],... 'EdgeColor','none',... 'FontAngle','normal',... 'FontName','Helvetica',... 'FontSize',10,... 'FontWeight','normal',... 'HorizontalAlignment','right',... 'LineStyle','-',... 'LineWidth',0.5,... 'Margin',2,... 'Position',[-0.036231884057971 1.0535390199637 1.00005459937205],... 'Rotation',0,... 'String','',... 'Interpreter','tex',... 'VerticalAlignment','middle',... 'ButtonDownFcn',[],... 'CreateFcn', {@local_CreateFcn, [], ''} ,... 'DeleteFcn',[],... 'BusyAction','queue',... 'HandleVisibility','off',... 'HitTest','on',... 'Interruptible','on',... 'SelectionHighlight','on',... 'Tag','',... 'UserData',[],... 'Visible','off',... 'XLimInclude','on',... 'YLimInclude','on',... 'ZLimInclude','on',... 'Clipping','off'); appdata = []; appdata.lastValidTag = 'axPoints'; h7 = axes(... 'Parent',h1,... 'Units','characters',... 'Position',[86.8333333333333 19.4285714285714 54.8333333333333 22.4285714285714],... 'CameraPosition',[0.5 0.5 9.16025403784439],... 'CameraPositionMode',get(0,'defaultaxesCameraPositionMode'),... 'Color',get(0,'defaultaxesColor'),... 'ColorOrder',get(0,'defaultaxesColorOrder'),... 'LooseInset',[18.9583333333333 5.28 13.8541666666667 3.6],... 'XColor',get(0,'defaultaxesXColor'),... 'YColor',get(0,'defaultaxesYColor'),... 'ZColor',get(0,'defaultaxesZColor'),... 'ButtonDownFcn','metchgui_one(''axPoints_ButtonDownFcn'',gcbo,[],guidata(gcbo))',... 'Tag','axPoints',... 'CreateFcn', {@local_CreateFcn, '', appdata} ); h8 = get(h7,'title'); set(h8,... 'Parent',h7,... 'Units','data',... 'FontUnits','points',... 'BackgroundColor','none',... 'Color',[0 0 0],... 'EdgeColor','none',... 'FontAngle','normal',... 'FontName','Helvetica',... 'FontSize',10,... 'FontWeight','normal',... 'HorizontalAlignment','center',... 'LineStyle','-',... 'LineWidth',0.5,... 'Margin',2,... 'Position',[0.5 1.01751592356688 1.00005459937205],... 'Rotation',0,... 'String','',... 'Interpreter','tex',... 'VerticalAlignment','bottom',... 'ButtonDownFcn',[],... 'CreateFcn', {@local_CreateFcn, [], ''} ,... 'DeleteFcn',[],... 'BusyAction','queue',... 'HandleVisibility','off',... 'HitTest','on',... 'Interruptible','on',... 'SelectionHighlight','on',... 'Tag','',... 'UserData',[],... 'Visible','on',... 'XLimInclude','on',... 'YLimInclude','on',... 'ZLimInclude','on',... 'Clipping','off'); h9 = get(h7,'xlabel'); set(h9,... 'Parent',h7,... 'Units','data',... 'FontUnits','points',... 'BackgroundColor','none',... 'Color',[0 0 0],... 'EdgeColor','none',... 'FontAngle','normal',... 'FontName','Helvetica',... 'FontSize',10,... 'FontWeight','normal',... 'HorizontalAlignment','center',... 'LineStyle','-',... 'LineWidth',0.5,... 'Margin',2,... 'Position',[0.496960486322189 -0.0716560509554141 1.00005459937205],... 'Rotation',0,... 'String','',... 'Interpreter','tex',... 'VerticalAlignment','cap',... 'ButtonDownFcn',[],... 'CreateFcn', {@local_CreateFcn, [], ''} ,... 'DeleteFcn',[],... 'BusyAction','queue',... 'HandleVisibility','off',... 'HitTest','on',... 'Interruptible','on',... 'SelectionHighlight','on',... 'Tag','',... 'UserData',[],... 'Visible','on',... 'XLimInclude','on',... 'YLimInclude','on',... 'ZLimInclude','on',... 'Clipping','off'); h10 = get(h7,'ylabel'); set(h10,... 'Parent',h7,... 'Units','data',... 'FontUnits','points',... 'BackgroundColor','none',... 'Color',[0 0 0],... 'EdgeColor','none',... 'FontAngle','normal',... 'FontName','Helvetica',... 'FontSize',10,... 'FontWeight','normal',... 'HorizontalAlignment','center',... 'LineStyle','-',... 'LineWidth',0.5,... 'Margin',2,... 'Position',[-0.0835866261398175 0.495222929936306 1.00005459937205],... 'Rotation',90,... 'String','',... 'Interpreter','tex',... 'VerticalAlignment','bottom',... 'ButtonDownFcn',[],... 'CreateFcn', {@local_CreateFcn, [], ''} ,... 'DeleteFcn',[],... 'BusyAction','queue',... 'HandleVisibility','off',... 'HitTest','on',... 'Interruptible','on',... 'SelectionHighlight','on',... 'Tag','',... 'UserData',[],... 'Visible','on',... 'XLimInclude','on',... 'YLimInclude','on',... 'ZLimInclude','on',... 'Clipping','off'); h11 = get(h7,'zlabel'); set(h11,... 'Parent',h7,... 'Units','data',... 'FontUnits','points',... 'BackgroundColor','none',... 'Color',[0 0 0],... 'EdgeColor','none',... 'FontAngle','normal',... 'FontName','Helvetica',... 'FontSize',10,... 'FontWeight','normal',... 'HorizontalAlignment','right',... 'LineStyle','-',... 'LineWidth',0.5,... 'Margin',2,... 'Position',[-1.58510638297872 1.11624203821656 1.00005459937205],... 'Rotation',0,... 'String','',... 'Interpreter','tex',... 'VerticalAlignment','middle',... 'ButtonDownFcn',[],... 'CreateFcn', {@local_CreateFcn, [], ''} ,... 'DeleteFcn',[],... 'BusyAction','queue',... 'HandleVisibility','off',... 'HitTest','on',... 'Interruptible','on',... 'SelectionHighlight','on',... 'Tag','',... 'UserData',[],... 'Visible','off',... 'XLimInclude','on',... 'YLimInclude','on',... 'ZLimInclude','on',... 'Clipping','off'); appdata = []; appdata.lastValidTag = 'lbMesh'; h12 = uicontrol(... 'Parent',h1,... 'Units','characters',... 'Position',[85.5 4.35714285714286 27.5 9.35714285714285],... 'String','',... 'Style','listbox',... 'Value',1,... 'Tag','lbMesh',... 'CreateFcn', {@local_CreateFcn, '', appdata} ); appdata = []; appdata.lastValidTag = 'lbPoints'; h13 = uicontrol(... 'Parent',h1,... 'Units','characters',... 'Position',[114 4.35714285714286 27.6666666666667 9.42857142857143],... 'String','',... 'Style','listbox',... 'Value',1,... 'Tag','lbPoints',... 'CreateFcn', {@local_CreateFcn, '', appdata} ); appdata = []; appdata.lastValidTag = 'isSelect'; h14 = uicontrol(... 'Parent',h1,... 'Units','characters',... 'Callback','metchgui_one(''isSelect_Callback'',gcbo,[],guidata(gcbo))',... 'Position',[85.5 15.8571428571429 10 1.78571428571429],... 'String','Select',... 'Style','togglebutton',... 'Tag','isSelect',... 'CreateFcn', {@local_CreateFcn, '', appdata} ); appdata = []; appdata.lastValidTag = 'btDelete'; h15 = uicontrol(... 'Parent',h1,... 'Units','characters',... 'Callback','metchgui_one(''btDelete_Callback'',gcbo,[],guidata(gcbo))',... 'Position',[95.8333333333333 15.8571428571429 10 1.78571428571429],... 'String','Delete',... 'Tag','btDelete',... 'CreateFcn', {@local_CreateFcn, '', appdata} ); appdata = []; appdata.lastValidTag = 'bInit'; h16 = uicontrol(... 'Parent',h1,... 'Units','characters',... 'Callback','metchgui_one(''bInit_Callback'',gcbo,[],guidata(gcbo))',... 'Position',[109 15.8571428571429 10 1.78571428571429],... 'String','Initialize',... 'Tag','bInit',... 'CreateFcn', {@local_CreateFcn, '', appdata} ); appdata = []; appdata.lastValidTag = 'txMesh'; h17 = uicontrol(... 'Parent',h1,... 'Units','characters',... 'BackgroundColor',[0.614 0.052 0],... 'ForegroundColor',[1 1 1],... 'Position',[2.66666666666667 42.5 80.6666666666667 1.64285714285714],... 'String','Surface mesh',... 'Style','text',... 'ButtonDownFcn','metchgui_one(''txMesh_ButtonDownFcn'',gcbo,[],guidata(gcbo))',... 'Tag','txMesh',... 'CreateFcn', {@local_CreateFcn, '', appdata} ); appdata = []; appdata.lastValidTag = 'txPoint'; h18 = uicontrol(... 'Parent',h1,... 'Units','characters',... 'BackgroundColor',[0.0487072545035106 0 0.701960784313725],... 'ForegroundColor',[1 1 1],... 'Position',[85.5 42.5 56 1.64285714285714],... 'String','Point cloud',... 'Style','text',... 'ButtonDownFcn','metchgui_one(''txMesh_ButtonDownFcn'',gcbo,[],guidata(gcbo))',... 'Tag','txPoint',... 'CreateFcn', {@local_CreateFcn, '', appdata} ); appdata = []; appdata.lastValidTag = 'btAddMeshPt'; h19 = uicontrol(... 'Parent',h1,... 'Units','characters',... 'Callback','metchgui_one(''btAddMeshPt_Callback'',gcbo,[],guidata(gcbo))',... 'Position',[91.5 2.35714285714286 14.5 1.71428571428571],... 'String','Add Selected',... 'Tag','btAddMeshPt',... 'CreateFcn', {@local_CreateFcn, '', appdata} ); appdata = []; appdata.lastValidTag = 'btAddCloudPt'; h20 = uicontrol(... 'Parent',h1,... 'Units','characters',... 'Callback','metchgui_one(''btAddCloudPt_Callback'',gcbo,[],guidata(gcbo))',... 'Position',[120 2.42857142857143 14.5 1.71428571428571],... 'String','Add Selected',... 'Tag','btAddCloudPt',... 'CreateFcn', {@local_CreateFcn, '', appdata} ); appdata = []; appdata.lastValidTag = 'btProj'; h21 = uicontrol(... 'Parent',h1,... 'Units','characters',... 'Callback','metchgui_one(''btProj_Callback'',gcbo,[],guidata(gcbo))',... 'Position',[129.666666666667 15.8571428571429 12 1.78571428571429],... 'String','Proj2Mesh',... 'Tag','btProj',... 'CreateFcn', {@local_CreateFcn, '', appdata} ); appdata = []; appdata.lastValidTag = 'txMapTo'; h22 = uicontrol(... 'Parent',h1,... 'Units','characters',... 'BackgroundColor',[0.542 0.063 0],... 'ForegroundColor',[1 1 1],... 'Position',[85.5 13.9285714285714 28 1.64285714285714],... 'String','Map To',... 'Style','text',... 'ButtonDownFcn','metchgui_one(''txMesh_ButtonDownFcn'',gcbo,[],guidata(gcbo))',... 'Tag','txMapTo',... 'CreateFcn', {@local_CreateFcn, '', appdata} ); appdata = []; appdata.lastValidTag = 'txMapFrom'; h23 = uicontrol(... 'Parent',h1,... 'Units','characters',... 'BackgroundColor',[0.0487072545035106 0 0.701960784313725],... 'ForegroundColor',[1 1 1],... 'Position',[113.666666666667 13.9285714285714 28 1.64285714285714],... 'String','Map From',... 'Style','text',... 'ButtonDownFcn','metchgui_one(''txMesh_ButtonDownFcn'',gcbo,[],guidata(gcbo))',... 'Tag','txMapFrom',... 'CreateFcn', {@local_CreateFcn, '', appdata} ); appdata = []; appdata.lastValidTag = 'btOptimize'; h24 = uicontrol(... 'Parent',h1,... 'Units','characters',... 'Callback','metchgui_one(''btOptimize_Callback'',gcbo,[],guidata(gcbo))',... 'Position',[119.333333333333 15.8571428571429 10 1.78571428571429],... 'String','Optimize',... 'Tag','btOptimize',... 'CreateFcn', {@local_CreateFcn, '', appdata} ); appdata = []; appdata.lastValidTag = 'slPos'; h25 = uicontrol(... 'Parent',h1,... 'Units','characters',... 'BackgroundColor',[0.9 0.9 0.9],... 'Callback','metchgui_one(''slPos_Callback'',gcbo,[],guidata(gcbo))',... 'Position',[2.83333333333333 1.42857142857143 80.5 1.57142857142857],... 'String',{ 'Slider' },... 'Style','slider',... 'CreateFcn', {@local_CreateFcn, 'metchgui_one(''slPos_CreateFcn'',gcbo,[],guidata(gcbo))', appdata} ,... 'Tag','slPos',... 'Visible','off'); appdata = []; appdata.lastValidTag = 'lbZPos'; h26 = uicontrol(... 'Parent',h1,... 'Units','characters',... 'Position',[41.8333333333333 -0.0714285714285714 6.66666666666667 1.57142857142857],... 'String','',... 'Style','text',... 'Tag','lbZPos',... 'Visible','off',... 'CreateFcn', {@local_CreateFcn, '', appdata} ); appdata = []; appdata.lastValidTag = 'btSaveRes'; h27 = uicontrol(... 'Parent',h1,... 'Units','characters',... 'Callback','metchgui_one(''btSaveRes_Callback'',gcbo,[],guidata(gcbo))',... 'Position',[84.3333333333333 -0.0714285714285714 16 1.71428571428571],... 'String','Save Session',... 'Tag','btSaveRes',... 'CreateFcn', {@local_CreateFcn, '', appdata} ); appdata = []; appdata.lastValidTag = 'btLoadSession'; h28 = uicontrol(... 'Parent',h1,... 'Units','characters',... 'Callback','metchgui_one(''btLoadSession_Callback'',gcbo,[],guidata(gcbo))',... 'Position',[100.833333333333 -0.0714285714285714 16 1.71428571428571],... 'String','Load Session',... 'Tag','btLoadSession',... 'CreateFcn', {@local_CreateFcn, '', appdata} ); appdata = []; appdata.lastValidTag = 'btPlotResults'; h29 = uicontrol(... 'Parent',h1,... 'Units','characters',... 'Callback','metchgui_one(''btPlotResults_Callback'',gcbo,[],guidata(gcbo))',... 'Position',[117.333333333333 -0.0714285714285714 16 1.71428571428571],... 'String','Plot Results',... 'Tag','btPlotResults',... 'CreateFcn', {@local_CreateFcn, '', appdata} ); appdata = []; appdata.lastValidTag = 'btClose'; h30 = uicontrol(... 'Parent',h1,... 'Units','characters',... 'BackgroundColor',[0.701960784313725 0.0456922325275102 0.0152120246425083],... 'Callback','metchgui_one(''btClose_Callback'',gcbo,[],guidata(gcbo))',... 'ForegroundColor',[1 1 1],... 'Position',[134 -0.0714285714285714 10 1.71428571428571],... 'String','Close',... 'Tag','btClose',... 'CreateFcn', {@local_CreateFcn, '', appdata} ); appdata = []; appdata.lastValidTag = 'btHelp'; h31 = uicontrol(... 'Parent',h1,... 'Units','characters',... 'BackgroundColor',[0.12 0.542 0],... 'Callback','metchgui_one(''btHelp_Callback'',gcbo,[],guidata(gcbo))',... 'ForegroundColor',[1 1 1],... 'Position',[108.166666666667 2.35714285714286 10 1.71428571428571],... 'String','Help',... 'Tag','btHelp',... 'CreateFcn', {@local_CreateFcn, '', appdata} ); hsingleton = h1; % --- Set application data first then calling the CreateFcn. function local_CreateFcn(hObject, eventdata, createfcn, appdata) if ~isempty(appdata) names = fieldnames(appdata); for i=1:length(names) name = char(names(i)); setappdata(hObject, name, getfield(appdata,name)); end end if ~isempty(createfcn) eval(createfcn); end % --- Handles default GUIDE GUI creation and callback dispatch function varargout = gui_mainfcn(gui_State, varargin) gui_StateFields = {'gui_Name' 'gui_Singleton' 'gui_OpeningFcn' 'gui_OutputFcn' 'gui_LayoutFcn' 'gui_Callback'}; gui_Mfile = ''; for i=1:length(gui_StateFields) if ~isfield(gui_State, gui_StateFields{i}) error('Could not find field %s in the gui_State struct in GUI M-file %s', gui_StateFields{i}, gui_Mfile); elseif isequal(gui_StateFields{i}, 'gui_Name') gui_Mfile = [gui_State.(gui_StateFields{i}), '.m']; end end numargin = length(varargin); if numargin == 0 % METCHGUI_ONE % create the GUI gui_Create = 1; elseif isequal(ishandle(varargin{1}), 1) && ispc && iscom(varargin{1}) && isequal(varargin{1},gcbo) % METCHGUI_ONE(ACTIVEX,...) vin{1} = gui_State.gui_Name; vin{2} = [get(varargin{1}.Peer, 'Tag'), '_', varargin{end}]; vin{3} = varargin{1}; vin{4} = varargin{end-1}; vin{5} = guidata(varargin{1}.Peer); feval(vin{:}); return; elseif ischar(varargin{1}) && numargin>1 && isequal(ishandle(varargin{2}), 1) % METCHGUI_ONE('CALLBACK',hObject,eventData,handles,...) gui_Create = 0; else % METCHGUI_ONE(...) % create the GUI and hand varargin to the openingfcn gui_Create = 1; end if gui_Create == 0 varargin{1} = gui_State.gui_Callback; if nargout [varargout{1:nargout}] = feval(varargin{:}); else feval(varargin{:}); end else if gui_State.gui_Singleton gui_SingletonOpt = 'reuse'; else gui_SingletonOpt = 'new'; end % Open fig file with stored settings. Note: This executes all component % specific CreateFunctions with an empty HANDLES structure. % Do feval on layout code in m-file if it exists if ~isempty(gui_State.gui_LayoutFcn) gui_hFigure = feval(gui_State.gui_LayoutFcn, gui_SingletonOpt); % openfig (called by local_openfig below) does this for guis without % the LayoutFcn. Be sure to do it here so guis show up on screen. if(exist('movegui')) movegui(gui_hFigure,'onscreen'); end else gui_hFigure = local_openfig(gui_State.gui_Name, gui_SingletonOpt); % If the figure has InGUIInitialization it was not completely created % on the last pass. Delete this handle and try again. if isappdata(gui_hFigure, 'InGUIInitialization') delete(gui_hFigure); gui_hFigure = local_openfig(gui_State.gui_Name, gui_SingletonOpt); end end % Set flag to indicate starting GUI initialization setappdata(gui_hFigure,'InGUIInitialization',1); % Fetch GUIDE Application options gui_Options = getappdata(gui_hFigure,'GUIDEOptions'); if ~isappdata(gui_hFigure,'GUIOnScreen') % Adjust background color if gui_Options.syscolorfig set(gui_hFigure,'Color', get(0,'DefaultUicontrolBackgroundColor')); end % Generate HANDLES structure and store with GUIDATA. If there is % user set GUI data already, keep that also. data = guidata(gui_hFigure); handles = guihandles(gui_hFigure); if ~isempty(handles) if isempty(data) data = handles; else names = fieldnames(handles); for k=1:length(names) data.(char(names(k)))=handles.(char(names(k))); end end end guidata(gui_hFigure, data); end % If user specified 'Visible','off' in p/v pairs, don't make the figure % visible. gui_MakeVisible = 1; for ind=1:2:length(varargin) if length(varargin) == ind break; end len1 = min(length('visible'),length(varargin{ind})); len2 = min(length('off'),length(varargin{ind+1})); if ischar(varargin{ind}) && ischar(varargin{ind+1}) && ... strncmpi(varargin{ind},'visible',len1) && len2 > 1 if strncmpi(varargin{ind+1},'off',len2) gui_MakeVisible = 0; elseif strncmpi(varargin{ind+1},'on',len2) gui_MakeVisible = 1; end end end % Check for figure param value pairs for index=1:2:length(varargin) if length(varargin) == index || ~ischar(varargin{index}) break; end try set(gui_hFigure, varargin{index}, varargin{index+1}), catch break, end end % If handle visibility is set to 'callback', turn it on until finished % with OpeningFcn gui_HandleVisibility = get(gui_hFigure,'HandleVisibility'); if strcmp(gui_HandleVisibility, 'callback') set(gui_hFigure,'HandleVisibility', 'on'); end feval(gui_State.gui_OpeningFcn, gui_hFigure, [], guidata(gui_hFigure), varargin{:}); if ishandle(gui_hFigure) % Update handle visibility set(gui_hFigure,'HandleVisibility', gui_HandleVisibility); % Make figure visible if gui_MakeVisible set(gui_hFigure, 'Visible', 'on') if gui_Options.singleton setappdata(gui_hFigure,'GUIOnScreen', 1); end end % Done with GUI initialization rmappdata(gui_hFigure,'InGUIInitialization'); end % If handle visibility is set to 'callback', turn it on until finished with % OutputFcn if ishandle(gui_hFigure) gui_HandleVisibility = get(gui_hFigure,'HandleVisibility'); if strcmp(gui_HandleVisibility, 'callback') set(gui_hFigure,'HandleVisibility', 'on'); end gui_Handles = guidata(gui_hFigure); else gui_Handles = []; end if nargout [varargout{1:nargout}] = feval(gui_State.gui_OutputFcn, gui_hFigure, [], gui_Handles); else feval(gui_State.gui_OutputFcn, gui_hFigure, [], gui_Handles); end if ishandle(gui_hFigure) set(gui_hFigure,'HandleVisibility', gui_HandleVisibility); end end function gui_hFigure = local_openfig(name, singleton) % this application data is used to indicate the running mode of a GUIDE % GUI to distinguish it from the design mode of the GUI in GUIDE. setappdata(0,'OpenGuiWhenRunning',1); % openfig with three arguments was new from R13. Try to call that first, if % failed, try the old openfig. try gui_hFigure = openfig(name, singleton, 'auto'); catch % OPENFIG did not accept 3rd input argument until R13, % toggle default figure visible to prevent the figure % from showing up too soon. gui_OldDefaultVisible = get(0,'defaultFigureVisible'); set(0,'defaultFigureVisible','off'); gui_hFigure = openfig(name, singleton); set(0,'defaultFigureVisible',gui_OldDefaultVisible); end rmappdata(0,'OpenGuiWhenRunning'); octave-iso2mesh-1.9.6+ds/mcpath.m0000644001356000007640000000325613724766530015572 0ustar fangqadminfunction binname=mcpath(fname, ext) % % binname=mcpath(fname) % % get full executable path by prepending a command directory path % parameters: % % author: Qianqian Fang, % % input: % fname: input, a file name string % % output: % binname: output, full file name located in the bin directory % % if global variable ISO2MESH_BIN is set in 'base', it will % use [ISO2MESH_BIN filesep cmdname] as the command full path, % otherwise, let matlab pass the cmdname to the shell, which % will search command in the directories listed in system % $PATH variable. % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % p=getvarfrom({'caller','base'},'ISO2MESH_BIN'); binname=[]; if(isempty(p)) % the bin folder under iso2mesh is searched first tempname=[fileparts(which(mfilename)) filesep 'bin' filesep fname]; if(exist([fileparts(which(mfilename)) filesep 'bin'])==7) if(nargin>=2 && ~isempty(ext)) if(exist([tempname ext],'file')) binname=[tempname ext]; else binname=fname; % use binary without suffix on system PATH end else binname=tempname; end else binname=fname; end else binname=[p filesep fname]; end % on 64bit windows machine, try 'exename_x86-64.exe' first if(ispc && ~isempty(regexp(computer,'64', 'once')) && isempty(regexp(fname,'_x86-64$', 'once'))) w64bin=regexprep(binname,'(\.[eE][xX][eE])*$','_x86-64.exe','emptymatch'); if(exist(w64bin,'file')) binname=w64bin; end end % if no such executable exist in iso2mesh/bin, find it in PATH env variable if(nargin>=2 && ~exist(binname,'file')) binname=fname; end octave-iso2mesh-1.9.6+ds/lzmadecode.m0000644001356000007640000000266213724766530016425 0ustar fangqadminfunction varargout = lzmadecode(varargin) % % output = lzmadecode(input) % or % output = lzmadecode(input,info) % % Decompressing an LZMA-compressed byte-stream to recover the original data % This function depends on the ZMat toolbox (http://github.com/fangq/zmat) % % authors:Qianqian Fang (q.fang neu.edu) % % input: % input: a string, int8/uint8 vector or numerical array to store LZMA-compressed data % info (optional): a struct produced by the zmat/lzmaencode function during % compression; if not given, the inputs/outputs will be treated as a % 1-D vector % % output: % output: the decompressed byte stream stored in a uint8 vector; if info is % given, output will restore the original data's type and dimensions % % examples: % [bytes, info]=lzmaencode(eye(10)); % orig=lzmadecode(bytes,info); % % license: % BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details % % -- this function is part of JSONLab toolbox (http://iso2mesh.sf.net/cgi-bin/index.cgi?jsonlab) % if(nargin==0) error('you must provide at least 1 input'); end if(exist('zmat','file')==2 || exist('zmat','file')==3) if(nargin>1) [varargout{1:nargout}]=zmat(varargin{1},varargin{2:end}); else [varargout{1:nargout}]=zmat(varargin{1},0,'lzma',varargin{2:end}); end else error('you must install ZMat toolbox to use this feature: http://github.com/fangq/zmat') end octave-iso2mesh-1.9.6+ds/orthdisk.m0000644001356000007640000000247713724766530016151 0ustar fangqadminfunction node=orthdisk(c0,c1,r,ndiv,v1,angle0) % % node=orthdisk(c0,c1,r,ndiv) % % Defining a 3D disk that is orthogonal to the vector c1-c0 % % author: Qianqian Fang (q.fang at neu.edu) % % input: % c0: a 1x3 vector for the origin % c1: a 1x3 vector to define a direction vector c1-c0 % r: the radius of the disk that is orthogonal to c1-c0, passing through c0 % ndiv: division count to approximate a circle by a polygon, if ignored, ndiv=20 % v1: a 1x3 vector specifying the first point on the output 3D disk. if % v1 is not perpendicular to c1-c0, the disk rotation axis is % changed to cross(v1,cross(c1-c0,v1)); % angle0: angle0 represents the angle (in radian) of the 1st point in % the 3D disk if placed on the x-y plane. % % output: % node: the 3D vertices of the disk % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % len=sqrt(sum((c0-c1).*(c0-c1))); v0=c1-c0; if(nargin>=5) vt=cross(v0,v1); if(abs(dot(v0(:),v1(:)))>1e-5) % input is not orthogonal v0=cross(v1,vt); end end if(nargin<6) angle0=0; end if(nargin<=2) r=1; end if(nargin<=3) ndiv=20; end dt=2*pi/ndiv; theta=angle0+dt:dt:2*pi+angle0; cx=r*cos(theta); cy=r*sin(theta); pp=[cx(:) cy(:) zeros(ndiv,1)]; node=rotatevec3d(pp,v0)+repmat(c0(:)',size(pp,1),1); octave-iso2mesh-1.9.6+ds/meshedge.m0000644001356000007640000000216713724766530016077 0ustar fangqadminfunction edges=meshedge(elem,varargin) % % edges=meshedge(elem,opt) % % return all edges in a surface or volumetric mesh % % author: Qianqian Fang, % date: 2011/02/26 % % input: % elem: element table of a mesh (support N-d space element) % opt: optional input, giving the additional options. If opt % is a struct, it can have the following field: % opt.nodeorder: if 1, assuming the elem node indices is in CCW % orientation; 0 use nchoosek() output to order edges % you can replace opt by a series of ('param', value) pairs. % % output: % edge: edge list; each row is an edge, specified by the starting and % ending node indices, the total edge number is % size(elem,1) x nchoosek(size(elem,2),2). 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maxisland=-1; if(nargin==2) maxisland=sizelim; end islands={}; cleanimg=zeros(size(img)); if(sum(img(:))) img=imclose(img, strel('disk',3)); islands=bwislands(img); end if(length(islands)) % remove small islands of the foreground maxblock=-1; maxblockid=-1; if(maxisland<0) for i=1:length(islands) if(length(islands{i})>maxblock) maxblockid=i; maxblock=length(islands{i}); end end if(maxblock>0) cleanimg(islands{maxblockid})=1; end else for i=1:length(islands) if(length(islands{i})>maxisland) cleanimg(islands{i})=1; end end end % remote small islands of the background cleanimg=imfill(cleanimg,'holes'); end octave-iso2mesh-1.9.6+ds/polylineinterp.m0000644001356000007640000000446213724766530017373 0ustar fangqadminfunction [idx, weight, newnodes]=polylineinterp(polylen, len, nodes) % % [idx, weight]=polylineinterp(polylen, len) % [idx, weight, newnodes]=polylineinterp(polylen, len, nodes) % % Find the polyline segment indices and interpolation weights for a % specified total length or a set of lengths % % author: Qianqian Fang (q.fang at neu.edu) % % input: % polylen: a 1D vector sequentially recording the length of each segment % of a polyline, the first number is the length of the 1st segment, % and so on % len: a single scalar, or a vector of scalars, specifying the total % length % nodes: if nodes is an array with a row-number equal to length(polylen)+1, % we assume each row defines a coordinate for the nodes along the % polyline % % output: % idx: the indices of the polyline segments, starting from 1, where each % length defined in len ends; if len> sum(polylen), nan is % returned; if len<0, the weight will be a negative value. % weight: the interpolation weight between 0-1 towards the end node % of the containing segment; the weight for the start-node is 1-weight % newnodes: the interpolated node positions at the end of the len % % example: % lineseg=[2,2,1,7,10]; % [idx, weight]=polylineinterp(lineseg, [3, 12, 7]) % % -- this function is part of brain2mesh toolbox (http://mcx.space/brain2mesh) % License: GPL v3 or later, see LICENSE.txt for details % cumlen=[0 cumsum(polylen(:)')]; idx=nan*ones(size(len)); weight=zeros(size(len)); if(nargin>=3 && nargout>=3) if(size(nodes,1)==1) nodes=nodes.'; end if(size(nodes,1)~=length(polylen)+1) error('the row number of the nodes input must be 1 more than the length of polylen'); end newnodes=zeros(length(len),size(nodes,2)); end for i=1:length(len) pos=histc(len(i), cumlen); if(any(pos==1)) idx(i)=find(pos); if(idx(i)==length(cumlen)) idx(i)=idx(i)-1; weight(i)=1; newnodes(i,:)=nodes(end,:); elseif(idx(i)<=length(polylen)) weight(i)=(len(i)-cumlen(idx(i)))/polylen(idx(i)); if(nargin>=3 && nargout>=3) newnodes(i,:)=(1-weight(i))*nodes(idx(i),:)+weight(i)*nodes(idx(i)+1,:); end end end end idx(idx>length(polylen))=nan;octave-iso2mesh-1.9.6+ds/surf2volz.m0000644001356000007640000000333513724766530016270 0ustar fangqadminfunction img=surf2volz(node,face,xi,yi,zi) % % img=surf2volz(node,face,xi,yi,zi) % % convert a triangular surface to a shell of voxels in a 3D image % along the z-axis % % author: Qianqian Fang (q.fang at neu.edu) % % input: % node: node list of the triangular surface, 3 columns for x/y/z % face: triangle node indices, each row is a triangle % xi,yi,zi: x/y/z grid for the resulting volume % % output: % img: a volumetric binary image at position of ndgrid(xi,yi,zi) % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % ne=size(face,1); img=zeros(length(xi),length(yi),length(zi),'uint8'); dx0=min(abs(diff(xi))); dx=dx0/2; dy0=min(abs(diff(yi))); dy=dy0/2; dz0=min(abs(diff(zi))); dl=sqrt(dx*dx+dy*dy); minz=min(node(:,3)); maxz=max(node(:,3)); iz=hist([minz,maxz],zi); hz=find(iz); iz=hz(1):min(length(zi),hz(end)+1); for i=1:length(iz); plane=[0 100 zi(iz(i)); 100 0 zi(iz(i)); 0 0 zi(iz(i))]; [bcutpos,bcutvalue,bcutedges]=qmeshcut(face(:,1:3),node,node(:,1),plane); if(isempty(bcutpos)) continue; end enum=size(bcutedges,1); for j=1:enum e0=bcutpos(bcutedges(j,1),1:2); e1=bcutpos(bcutedges(j,2),1:2); len=ceil(sum(abs(e1-e0))/(abs(dx)+abs(dy)))+1; dd=(e1-e0)/len; posx= floor(((e0(1)+(0:len)*dd(1)-xi(1)))/dx0)'; posy= floor(((e0(2)+(0:len)*dd(2)-yi(1)))/dy0)'; pos=[posx, posy]; pos(find(posx>length(xi) | posy>length(yi) | posx<=0|posy<=0), :)=[]; if(length(pos)>0) zz=floor(((zi(iz(i))-zi(1)))/dz0); for k=1:size(pos,1) img(pos(k,1),pos(k,2),zz)=1; end %img(sub2ind(size(img),pos(:,1),pos(:,2),i*ones(size(pos,1),1)))=1; end end end octave-iso2mesh-1.9.6+ds/orderloopedge.m0000644001356000007640000000167313724766530017151 0ustar fangqadminfunction newedge=orderloopedge(edge) % % [newedge]=orderloopedge(edge) % % order the node list of a simple loop based on connection sequence % % author: Qianqian Fang (q.fang at neu.edu) % date: 2008/05 % % input: % edge: a loop consisted by a sequence of edges, each row % is an edge with two integers: start/end node index % % output: % newedge: reordered edge node list % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % % this subroutine can not process bifercation ne=size(edge,1); newedge=zeros(size(edge)); newedge(1,:)=edge(1,:); for i=2:ne [row,col]=find(edge(i:end,:)==newedge(i-1,2)); if(length(row)==1) % loop node newedge(i,:)=[newedge(i-1,2),edge(row+i-1,3-col)]; edge([i,row+i-1],:)=edge([row+i-1,i],:); elseif (length(row)>=2) error('bifercation is found,exit'); elseif (length(row)==0) error(['open curve at ' num2str(edge(i-1,2)) ]); end end octave-iso2mesh-1.9.6+ds/encodevarname.m0000644001356000007640000000430113724766530017115 0ustar fangqadminfunction str = encodevarname(str,varargin) % % newname = encodevarname(name) % % Encode an invalid variable name using a hex-format for bi-directional % conversions. % This function is sensitive to the default charset % settings in MATLAB, please call feature('DefaultCharacterSet','utf8') % to set the encoding to UTF-8 before calling this function. % % author: Qianqian Fang (q.fang neu.edu) % % input: % name: a string, can be either a valid or invalid variable name % % output: % newname: a valid variable name by converting the leading non-ascii % letter into "x0xHH_" and non-ascii letters into "_0xHH_" % format, where HH is the ascii (or Unicode) value of the % character. % % if the encoded variable name CAN NOT be longer than 63, i.e. % the maximum variable name specified by namelengthmax, and % one uses the output of this function as a struct or variable % name, the name will be trucated at 63. Please consider using % the name as a containers.Map key, which does not have such % limit. % % example: % encodevarname('_a') % returns x0x5F_a % encodevarname('a_') % returns a_ as it is a valid variable name % encodevarname('变量') % returns 'x0xE58F98__0xE9878F_' % % this file is part of EasyH5 Toolbox: https://github.com/fangq/easyh5 % % License: GPLv3 or 3-clause BSD license, see https://github.com/fangq/easyh5 for details % if(~isvarname(str(1))) str=sprintf('x0x%X_%s',char(str(1))+0,str(2:end)); end if(isvarname(str)) return; end if(exist('unicode2native','builtin')) str=regexprep(str,'([^0-9A-Za-z_])','_0x${sprintf(''%X'',unicode2native($1))}_'); else cpos=regexp(str,'[^0-9A-Za-z_]'); if(isempty(cpos)) return; end str0=str; pos0=[0 cpos(:)' length(str)]; str=''; for i=1:length(cpos) str=[str str0(pos0(i)+1:cpos(i)-1) sprintf('_0x%X_',str0(cpos(i))+0)]; end if(cpos(end)~=length(str)) str=[str str0(pos0(end-1)+1:pos0(end))]; end end end octave-iso2mesh-1.9.6+ds/.gitattributes0000644001356000007640000000026113724766530017024 0ustar fangqadmin# .gitattributes # Map file extensions to git filters *.h filter=rcs-keywords *.c filter=rcs-keywords *.cc filter=rcs-keywords *.m filter=rcs-keywords *.mm filter=rcs-keywords octave-iso2mesh-1.9.6+ds/zlibencode.m0000644001356000007640000000332113724766530016425 0ustar fangqadminfunction varargout = zlibencode(varargin) % % output = zlibencode(input) % or % [output, info] = zlibencode(input) % % Compress a string or numerical array using the ZLIB-compression % % This function depends on JVM in MATLAB or, can optionally use the ZMat % toolbox (http://github.com/fangq/zmat) % % Copyright (c) 2012, Kota Yamaguchi % URL: https://www.mathworks.com/matlabcentral/fileexchange/39526-byte-encoding-utilities % % Modified by: Qianqian Fang (q.fang neu.edu) % % input: % input: the original data, can be a string, a numerical vector or array % % output: % output: the decompressed byte stream stored in a uint8 vector; if info is % given, output will restore the original data's type and dimensions % % examples: % [bytes, info]=zlibencode(eye(10)); % orig=zlibdecode(bytes,info); % % license: % BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details % % -- this function is part of JSONLab toolbox (http://iso2mesh.sf.net/cgi-bin/index.cgi?jsonlab) % if(nargin==0) error('you must provide at least 1 input'); end if(exist('zmat','file')==2 || exist('zmat','file')==3) [varargout{1:nargout}]=zmat(varargin{1},1,'zlib'); return; elseif(isoctavemesh) error('You must install the ZMat toolbox (http://github.com/fangq/zmat) to use this function in Octave'); end error(javachk('jvm')); input=typecast(varargin{1}(:)','uint8'); buffer = java.io.ByteArrayOutputStream(); zlib = java.util.zip.DeflaterOutputStream(buffer); zlib.write(input, 0, numel(input)); zlib.close(); varargout{1} = typecast(buffer.toByteArray(), 'uint8')'; if(nargout>1) varargout{2}=struct('type',class(varargin{1}),'size',size(varargin{1}),'method','gzip','status',0); end octave-iso2mesh-1.9.6+ds/layersurf.m0000644001356000007640000000572513724766530016335 0ustar fangqadminfunction [face,labels]=layersurf(elem,varargin) % % face=layersurf(elem, opt) % or % [face,labels]=layersurf(elem,'option1',value1,'option2',value2,...) % % process a multi-layered tetrahedral mesh, like a brain mesh, to extract % the layer surface meshes with one enclosed by another % % author: Qianqian Fang (q.fang at neu.edu) % % input: % elem: an Nx5 integer array, representing the tetrahedral mesh element % list. The first 4 columns represent the tetrahedral element node % indices; the last column represents tissue labels. % opt: (optional) a struct or pairs of names/values to provide % additional options; accepted options include % 'order': ['>='] or '=', '<=' . if set to '>=' (default), the % outmost layer has the lowest label count; if '<=', innermost % is lowest; if '=', surface of each label is extracted % individually - meaning that inner surfaces will have two % duplicates % 'innermost': [0] or an array of labels. The labels defined in % this list will be treated as the innermost regions, and its % boundary will be extracted using the '==' test (order='='). % by default; label 0 is assumed to be innermost (i.e. nothing % is enclosed inside). % 'unique': [0] or 1. if 1, remove duplicated triangles; if 0, keep % all triangles. % 'occurence': ['first'] or 'last'. if 'first', the unique operator % keeps a duplicated triangle with the lowest label number; % otherwise, a repeated triange keeps the highest label number. % % output: % vol: a 2-D or 3-D array of the same type/size of the input arrays. The % label for each voxel is determined by the index to the highest % value in TPM of the same voxel. If a voxel is a background voxel % - i.e. zeros for all TPMs, it stays 0 % names: a cell array storing the names of the labels (if input is a % struct), the first string is the name for label 1, and so on % % -- this function is part of brain2mesh toolbox (http://mcx.space/brain2mesh) % License: GPL v3 or later, see LICENSE.txt for details % opt=varargin2struct(varargin{:}); outsideislower=jsonopt('order','>=',opt); dounique=jsonopt('unique',false,opt); innermost=jsonopt('innermost',0,opt); occurence=jsonopt('occurence','first',opt); labels = sort(unique(elem(:,5))); face = []; for i = 1:length(labels) if(strcmp(outsideislower,'>=') && ~ismember(labels(i),innermost)) newface=volface(elem(elem(:,5)>=labels(i),1:4)); elseif(strcmp(outsideislower,'<=') && ~ismember(labels(i),innermost)) newface=volface(elem(elem(:,5)<=labels(i),1:4)); else newface=volface(elem(elem(:,5)==labels(i),1:4)); end newface(:,4)=labels(i); face = [face; newface]; end if(dounique) face(:,1:3) = sort(face(:,1:3),2); [uniqface, idx]= unique(face(:,1:3),'rows',occurence); face=[uniqface, face(idx,end)]; endoctave-iso2mesh-1.9.6+ds/surfinterior.m0000644001356000007640000000241713724766530017047 0ustar fangqadminfunction [pt,p0,v0,t,idx]=surfinterior(node,face) % % [pt,p0,v0,t,idx]=surfinterior(node,face) % % identify a point that is enclosed by the (closed) surface % % author: Qianqian Fang, % % input: % node: a list of node coordinates (nn x 3) % face: a surface mesh triangle list (ne x 3) % % output: % pt: the interior point coordinates [x y z] % p0: ray origin used to determine the interior point % v0: the vector used to determine the interior point % t : ray-tracing intersection distances (with signs) from p0. the % intersection coordinates can be expressed as p0+t(i)*v0 % idx: index to the face elements that intersect with the ray, order % match that of t % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % pt=[]; len=size(face,1); for i=1:len p0=mean(node(face(i,1:3),:)); plane=surfplane(node,face(i,:)); v0=plane(1:3); [t,u,v]=raytrace(p0,v0,node,face(:,1:3)); idx=find(u>=0 & v>=0 & u+v<=1.0 & ~isinf(t)); [ts, uidx]=unique(sort(t(idx))); if(~isempty(ts) && mod(length(ts),2)==0) ts=reshape(ts,[2 length(ts)/2]); tdiff=ts(2,:)-ts(1,:); [maxv,maxi]=max(tdiff); pt=p0+v0*(ts(1,maxi)+ts(2,maxi))*0.5; idx=idx(uidx); t=t(idx); break; end end octave-iso2mesh-1.9.6+ds/lzmaencode.m0000644001356000007640000000221313724766530016427 0ustar fangqadminfunction varargout = lzmaencode(varargin) % % output = lzmaencode(input) % or % [output, info] = lzmaencode(input) % % Compress a string or a numerical array using LZMA-compression % % This function depends on the ZMat toolbox (http://github.com/fangq/zmat) % % authors:Qianqian Fang (q.fang neu.edu) % % input: % input: the original data, can be a string, a numerical vector or array % % output: % output: the compressed byte stream stored in a uint8 vector % info: (optional) a struct storing the metadata of the input, see "help zmat" for details % % examples: % [bytes, info]=lzmaencode(eye(10)); % orig=lzmadecode(bytes,info); % % license: % BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details % % -- this function is part of JSONLab toolbox (http://iso2mesh.sf.net/cgi-bin/index.cgi?jsonlab) % if(nargin==0) error('you must provide at least 1 input'); end if(exist('zmat','file')==2 || exist('zmat','file')==3) [varargout{1:nargout}]=zmat(varargin{1}, 1,'lzma',varargin{2:end}); return; else error('you must install ZMat toolbox to use this feature: http://github.com/fangq/zmat') end octave-iso2mesh-1.9.6+ds/surfdiffuse.m0000644001356000007640000000320613724766530016636 0ustar fangqadminfunction valnew=surfdiffuse(node,tri,val,ddt,iter,type1,opt) % % valnew=surfdiffuse(node,tri,val,ddt,iter,type1,opt) % % apply a smoothing/diffusion process on a surface % % author: Qianqian Fang, % % input: % node: list of nodes of the surface mesh % tri: triangular element list of the surface % val: vector, scalar value for each node % ddt: diffusion coefficient multiplied by delta t % iter: iterations for applying the smoothing % type1: indices of the nodes which will not be updated % opt: method, 'grad' for gradient based, and 'simple' for simple average % % output: % valnew: nodal value vector after the smoothing % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % if(iscell(tri)) conn=tri; else conn=meshconn(tri,size(node,1)); end valnew=val; nn=size(node,1); nontype1=1:nn; nontype1(type1)=[]; ninner=length(nontype1); updateflag=zeros(ninner,1); if(strcmp(opt,'grad')) for i=1:iter for j=1:ninner jj=nontype1(j); neighbors=conn{jj}; dist=node(neighbors,:); dist(:,1)=dist(:,1)-node(jj,1); dist(:,2)=dist(:,2)-node(jj,2); dist(:,3)=dist(:,3)-node(jj,3); c0=sqrt(sum((dist.*dist)')); neighbors(find(c0==0))=[]; valnew(jj)=val(jj)+ddt*sum((val(neighbors)'-val(jj))./c0); end val=valnew; end elseif(strcmp(opt,'simple')) for i=1:iter for j=1:ninner jj=nontype1(j); if(~isempty(conn{jj})) valnew(jj)=(1-ddt)*val(jj)+ddt*mean((val(conn{jj})')); end end val=valnew; end end octave-iso2mesh-1.9.6+ds/meshcentroid.m0000644001356000007640000000172613724766530017002 0ustar fangqadminfunction centroid=meshcentroid(v,f) % % centroid=meshcentroid(v,f) % % compute the centroids of a mesh defined by nodes and elements % (surface or tetrahedra) in R^n space % % author: Qianqian Fang, % % input: % v: surface node list, dimension (nn,3) % f: surface face element list, dimension (be,3) % % output: % centroid: centroid positions, one row for each element % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % if(~iscell(f)) ec=reshape(v(f(:,1:size(f,2))',:)', [size(v,2) size(f,2) size(f,1)]); centroid=squeeze(mean(ec,2))'; else len=length(f); centroid=zeros(len,size(v,2)); try for i=1:len fc=f{i}; if(~isempty(fc)) % need to set centroid to NaN if fc is empty? vlist=fc{1}; centroid(i,:)=mean(v(vlist(find(~isnan(vlist))),:)); end end catch error('malformed face cell array'); end end octave-iso2mesh-1.9.6+ds/surf2mesh.m0000644001356000007640000000735413724766530016237 0ustar fangqadminfunction [node,elem,face]=surf2mesh(v,f,p0,p1,keepratio,maxvol,regions,holes,forcebox,method,cmdopt) % % [node,elem,face]=surf2mesh(v,f,p0,p1,keepratio,maxvol,regions,holes,forcebox) % % create quality volumetric mesh from isosurface patches % % author: Qianqian Fang, % date: 2007/11/24 % % input parameters: % v: input, isosurface node list, dimension (nn,3) % if v has 4 columns, the last column specifies mesh density near each node % f: input, isosurface face element list, dimension (be,3) % p0: input, coordinates of one corner of the bounding box, p0=[x0 y0 z0] % p1: input, coordinates of the other corner of the bounding box, p1=[x1 y1 z1] % keepratio: input, percentage of elements being kept after the simplification % maxvol: input, maximum tetrahedra element volume % regions: list of regions, specifying by an internal point for each region % holes: list of holes, similar to regions % forcebox: 1: add bounding box, 0: automatic % % outputs: % node: output, node coordinates of the tetrahedral mesh % elem: output, element list of the tetrahedral mesh % face: output, mesh surface element list of the tetrahedral mesh % the last column denotes the boundary ID % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % fprintf(1,'generating tetrahedral mesh from closed surfaces ...\n'); if(nargin<10) method = 'tetgen'; end exesuff=getexeext; exesuff=fallbackexeext(exesuff,method); if(keepratio>1 || keepratio<0) warn(['The "keepratio" parameter is required to be between 0 and 1. '... 'Your input is out of this range. surf2mesh will not perform '... 'simplification. Please double check to correct this.']); end % first, resample the surface mesh with cgal if(keepratio<1-1e-9 && ~iscell(f)) fprintf(1,'resampling surface mesh ...\n'); [no,el]=meshresample(v(:,1:3),f(:,1:3),keepratio); el=unique(sort(el,2),'rows'); % then smooth the resampled surface mesh (Laplace smoothing) %% edges=surfedge(el); % disable on 12/05/08, very slow on octave %% mask=zeros(size(no,1),1); %% mask(unique(edges(:)))=1; % =1 for edge nodes, =0 otherwise %[conn,connnum,count]=meshconn(el,length(no)); %no=smoothsurf(no,mask,conn,2); % remove end elements (all nodes are edge nodes) %el=delendelem(el,mask); else no=v; el=f; end if(nargin==6) regions=[]; holes=[]; elseif(nargin==7) holes=[]; end if(size(regions,2)>=4 && ~isempty(maxvol)) warning('you specified both maxvol and the region based volume constraint,the maxvol setting will be ignored'); maxvol=[]; end dobbx=0; if(nargin>=9) dobbx=forcebox; end % dump surface mesh to .poly file format if(~iscell(el) && ~isempty(no) && ~isempty(el)) saveoff(no(:,1:3),el(:,1:3),mwpath('post_vmesh.off')); end deletemeshfile(mwpath('post_vmesh.mtr')); savesurfpoly(no,el,holes,regions,p0,p1,mwpath('post_vmesh.poly'),dobbx); moreopt=''; if(size(no,2)==4) moreopt=[moreopt ' -m ']; end % call tetgen to create volumetric mesh deletemeshfile(mwpath('post_vmesh.1.*')); fprintf(1,'creating volumetric mesh from a surface mesh ...\n'); if(nargin<11) try cmdopt=evalin('caller','ISO2MESH_TETGENOPT'); catch try cmdopt=evalin('base','ISO2MESH_TETGENOPT'); catch cmdopt=''; end end end if(isempty(cmdopt)) [status, cmdout]=system([' "' mcpath(method,exesuff) '" -A -q1.414a' num2str(maxvol) ' ' moreopt ' "' mwpath('post_vmesh.poly') '"']); else [status, cmdout]=system([' "' mcpath(method,exesuff) '" ' cmdopt ' "' mwpath('post_vmesh.poly') '"']); end if(status~=0) error(sprintf('Tetgen command failed')); end % read in the generated mesh [node,elem,face]=readtetgen(mwpath('post_vmesh.1')); fprintf(1,'volume mesh generation is complete\n'); octave-iso2mesh-1.9.6+ds/tools/0000755001356000007640000000000013730477705015272 5ustar fangqadminoctave-iso2mesh-1.9.6+ds/tools/manpage/0000755001356000007640000000000013730477705016702 5ustar fangqadminoctave-iso2mesh-1.9.6+ds/tools/manpage/cgalpoly.10000644001356000007640000000331413724766530020577 0ustar fangqadmin.\" Manpage for cgalpoly. .\" Contact fangqq@gmail.com to correct errors or typos. .TH man 7 "30 June 2020" "1.0" "cgalpoly man page" .SH NAME cgalpoly \- 3D mesh generation from polyhedral surfaces .SH SYNOPSIS cgalpoly input.off output.mesh .SH DESCRIPTION The cgalpoly utility is a surface-mesh-to-tetrahedral-mesh converter based on the CGAL library (http://cgal.org). This utility is capable of reading a surface model made of triangular patches and generating a tetrahedral mesh conforming to the surface. Please see https://doc.cgal.org/latest/Mesh_3/ for details regarding the underlying algorithm. .SH OPTIONS This program accepts the following input parameters: .TP \fBinput.off\fR|(required) The input data file in the OFF format .TP \fBoutput.mesh\fR|(required) The output mesh file in the MEDIT format .TP \fBangle\fR|(optional, default: 30) Lower-bound of the angles (in degree) in surface triangles .TP \fBsurf-size\fR|(optional, default: 6) Lower-bound of the edge-length (in voxel unit) in surface triangles .TP \fBapprox\fR|(optional, default: 4) Upper-bound of the deviation distance (in voxel unit) of the surface triangles to the voxelated boundaries .TP \fBrad-edge-ratio\fR|(optional, default: 3) Upper-bound of the radius-to-edge ratio of the surface triangles .TP \fBtetra-size\fR|(optional, default: 8) Lower-bound of the tetrahedron volume (in voxel^3) of the 3D mesh .TP \fBrandomseed\fR|(optional, default: -1) Random number generator seed (large positive integer, -1 to use system clock) .SH SEE ALSO cgalmesh(7), cgalsurf(7), cgalsimp2(7), cork(7), meshfix(7), jmeshlib(7) .SH AUTHOR Qianqian Fang (fangqq@gmail.com) octave-iso2mesh-1.9.6+ds/tools/manpage/cgalsurf.10000644001356000007640000000365413724766530020602 0ustar fangqadmin.\" Manpage for cgalsurf. .\" Contact fangqq@gmail.com to correct errors or typos. .TH man 7 "30 June 2020" "1.0" "cgalsurf man page" .SH NAME cgalsurf \- 3D surface mesh extraction from volumetric image .SH SYNOPSIS cgalsurf input.inr threshold x0 y0 z0 r2 angle surf-size approx maxnode output.off .SH DESCRIPTION The cgalsurf utility extracts a surface mesh at a specified threshold (level-set) from a volumetric image - either in binary or gray-scale values, using the CGAL library (http://cgal.org). This utility is adapted based on the 3D surface generation demo in the CGAL package. Please see https://doc.cgal.org/latest/Surface_mesher/ for details regarding the underlying algorithm. .SH OPTIONS This program accepts the following input parameters (all but the last two parameters are required): .TP \fBinput.inr The input volumetric image in the INR format .TP \fBthreshold A number representing the threshold at which the surface is extracted. .TP \fBx0 The bounding sphere center x-coordinate .TP \fBy0 The bounding sphere center y-coordinate .TP \fBz0 The bounding sphere center y-coordinate .TP \fBr2 The bounding sphere's radius squared .TP \fBangle Lower-bound of the angles (in degree) in surface triangles .TP \fBsurf-size Lower-bound of the edge-length (in voxel unit) in surface triangles .TP \fBapprox Upper-bound of the deviation distance (in voxel unit) of the surface triangles to the voxelated boundaries .TP \fBmaxnode Upper-bound of the node numbers in the output mesh .TP \fBoutput.off Output surface mesh in the OFF format .TP \fBrandomseed\fR|(optional, default: -1) Random number generator seed (large positive integer, -1 to use system clock) .TP \fBinit-size\fR|(optional) The number of nodes in the initial surface (sampled on the bounding sphere) cgalmesh(7), cgalsimp2(7), cgalpoly(7), cork(7), meshfix(7), jmeshlib(7) .SH AUTHOR Laurent Rineau, Mariette Yvinec, and Qianqian Fang (fangqq@gmail.com) octave-iso2mesh-1.9.6+ds/tools/manpage/meshfix.10000644001356000007640000000654413724766530020440 0ustar fangqadmin.\" Manpage for meshfix. .\" Contact fangqq@gmail.com to correct errors or typos. .TH man 7 "30 June 2020" "1.2-alpha" "meshfix man page" .SH NAME meshfix \- a surface mesh cleaning and repairing utility .SH SYNOPSIS meshfix [] [OPTIONS] .SH DESCRIPTION Meshfix is a surface mesh repairing and cleaning tool. It was written by Marco Attene, Mirko Windhoff, Axel Thielscher. The details regarding this tool can be found in the below paper M. Attene \- A lightweight approach to repairing digitized polygon meshes. The Visual Computer, 2010. (c) Springer. Meshfix processes file1 and saves the result to _fixed.off. An optionally passed file2 is merged with the first one. Accepted input formats are OFF, PLY and STL. .SH OPTIONS This program accepts the following input parameters: .TP \fB-a Allowed range: 0 < epsilon_angle < 2, default: 0 (degrees) .TP \fB-j Join 2 biggest components if they overlap, remove the rest. .TP \fB-jc Join the closest pair of components. .TP \fB-h\fR|(--help) Print this help and exit. .TP \fB--shells Only the n biggest shells are kept. .TP \fB-o Set the output filename (without extension). .TP \fB-q Quiet mode, don't write much to stdout. .TP \fB-u Uniform remeshing of the whole mesh, steps > 0 .TP \fB--vertices Constrain number of vertices to n (only with -u) .TP \fB--no-clean Don't clean. .TP \fB--smooth Apply n laplacian smoothing steps. .TP \fB-s\fR|(--stl) Result is saved in STL format instead of OFF. .TP \fB-w\fR|(--wrl) Result is saved in VRML1.0 format instead of OFF. .TP \fB--fsmesh Result is saved in FreeSurfer format instead of OFF. .TP \fB--xshift Shift x-coordinates of vertices by d when saving output. Only works with --fsmesh; used to deal with small FreeSurfer glitch .TP \fB--msh Result is saved in gmsh format for debugging (including vertex and triangle masks) .TP \fB--cut-outer Remove triangles of 1st that are outside of the 2nd shell. .TP \fB--cut-inner Remove triangles of 1st that are inside of the 2nd shell. Dilate 2nd by d; Fill holes and keep only 1st afterwards. .TP \fB--decouple-inin Treat 1st file as inner, 2nd file as outer component. Resolve overlaps by moving inners triangles inwards. .TP \fB--decouple-outin Treat 1st file as outer, 2nd file as inner component. Resolve overlaps by moving outers triangles inwards. .TP \fB--decouple-outout Treat 1st file as outer, 2nd file as inner component. Resolve overlaps by moving outers triangles outwards. Constrain the min distance between the components > d. .TP \fB--fineTuneIn Used to fine-tune the minimal distance between surfaces A minimal distance d is ensured, and reached in n substeps When using the surfaces for subsequent volume meshing by gmsh this step prevent too flat tetrahedra .TP \fB--fineTuneOut Similar to --fineTuneIn, but ensures minimal distance in the other direction \fB--dilate Dilate the surface by d. d < 0 means shrinking. \fB--intersect If the mesh contains intersections, return value = 1. \fB--intersect -o fname.msh If the mesh contains intersections, return value = 1. In addtion, save mesh with highlighted intersections in Gmsh format .SH SEE ALSO cgalmesh(7), cgalsurf(7), cgalsimp2(7), cgalpoly(7), cork(7), jmeshlib(7) .SH AUTHOR Marco Attene (attene@ge.imati.cnr.it), Mirko Windhoff, Axel Thielscher and Qianqian Fang (fangqq@gmail.com) octave-iso2mesh-1.9.6+ds/tools/manpage/cgalmesh.10000644001356000007640000000344113724766530020551 0ustar fangqadmin.\" Manpage for cgalmesh. .\" Contact fangqq@gmail.com to correct errors or typos. .TH man 7 "30 June 2020" "1.0" "cgalmesh man page" .SH NAME cgalmesh \- 3D mesh generation from volumetric image .SH SYNOPSIS cgalmesh input.inr output.mesh .SH DESCRIPTION The cgalmesh utility is a volume-to-tetrahedral-mesh converter based on the CGAL library (http://cgal.org). This utility is capable of reading a binary, multi-labled or gray-scale based 3D volumetric image and output a tetrahedral mesh conforming to the volume, with each region labeled correspondingly to the volume labels. Please see https://doc.cgal.org/latest/Mesh_3/ for details regarding the underlying algorithm. .SH OPTIONS This program accepts the following input parameters: .TP \fBinput.inr\fR|(required) The input data file in the INR format .TP \fBoutput.mesh\fR|(required) The output mesh file in the MEDIT format .TP \fBangle\fR|(optional, default: 30) Lower-bound of the angles (in degree) in surface triangles .TP \fBsurf-size\fR|(optional, default: 6) Lower-bound of the edge-length (in voxel unit) in surface triangles .TP \fBapprox\fR|(optional, default: 4) Upper-bound of the deviation distance (in voxel unit) of the surface triangles to the voxelated boundaries .TP \fBrad-edge-ratio\fR|(optional, default: 3) Upper-bound of the radius-to-edge ratio of the surface triangles .TP \fBtetra-size\fR|(optional, default: 8) Lower-bound of the tetrahedron volume (in voxel^3) of the 3D mesh .TP \fBrandomseed\fR|(optional, default: -1) Random number generator seed (large positive integer, -1 to use system clock) .SH SEE ALSO cgalsurf(7), cgalsimp2(7), cgalpoly(7), cork(7), meshfix(7), jmeshlib(7) .SH AUTHOR Qianqian Fang (fangqq@gmail.com) and Peter Varga octave-iso2mesh-1.9.6+ds/tools/manpage/jmeshlib.10000644001356000007640000000151713724766530020565 0ustar fangqadmin.\" Manpage for jmeshlib. .\" Contact fangqq@gmail.com to correct errors or typos. .TH man 7 "30 June 2020" "1.0" "jmeshlib man page" .SH NAME jmeshlib \- triangular surface mesh cleaning and repairing .SH SYNOPSIS jmeshlib input.off output.off .SH DESCRIPTION The jmeshlib utility is a surface mesh repairing and cleaning utility written by Marco Attene (http://jmeshlib.sourceforge.net/). JMeshLib removes non-manifold vertices in a surface mesh and re-orient the triangles in a consistent node order. This program accepts the following input parameters: .TP \fBinput.off\fR|(required) The input surface mesh in the OFF format .TP \fBoutput.off\fR|(required) The cleaned surface mesh are saved as output.off .SH SEE ALSO cgalmesh(7), cgalsurf(7), cgalsimp2(7), cgalpoly(7), cork(7), meshfix(7) .SH AUTHOR Marco Attene (attene@ge.imati.cnr.it)octave-iso2mesh-1.9.6+ds/tools/manpage/cgalsimp2.10000644001356000007640000000242113724766530020644 0ustar fangqadmin.\" Manpage for cgalsimp2. .\" Contact fangqq@gmail.com to correct errors or typos. .TH man 7 "30 June 2020" "1.0" "cgalsimp2 man page" .SH NAME cgalsimp2 \- triangular surface mesh simplification .SH SYNOPSIS cgalsimp2 input.off keepratio .SH DESCRIPTION The cgalsimp2 utility is a surface mesh simplification utility built on the CGAL library (http://cgal.org). This tool utilizes the Lindstrom–Turk algorithm and decimate a surface mesh into a coarser downsampled surface. The output mesh is stored in a file named "out.off". Please see https://doc.cgal.org/latest/Surface_mesh_simplification/ for details regarding the underlying algorithm. .SH OPTIONS This program accepts the following input parameters: .TP \fBinput.off\fR|(required) The input surface mesh in the OFF format .TP \fBkeepratio\fR|(required) A 0-1 floating point number denoting the percentage of edges that will be preserved (1-keepratio is the percentage of edges that will be decimated. If keepratio is negative, it triggers the "LindstromTurk placement" policy; otherwise, it uses a mid-point placement policy by clapsing an edge to its mid-point. .SH SEE ALSO cgalmesh(7), cgalsurf(7), cgalpoly(7), cork(7), meshfix(7), jmeshlib(7) .SH AUTHOR Qianqian Fang (fangqq@gmail.com), Fernando Cacciola and Andreas Fabri octave-iso2mesh-1.9.6+ds/tools/cgalmesh/0000755001356000007640000000000013724766530017055 5ustar fangqadminoctave-iso2mesh-1.9.6+ds/tools/cgalmesh/mesh_polyhedral_domain.cpp0000644001356000007640000000477413724766530024303 0ustar fangqadmin#include #if !defined(CGAL_VERSION_NR) || CGAL_VERSION_NR <= 1040700000 #include #else #include #endif #include #include #include #include #include #include #include #include // IO #include // Domain struct K: public CGAL::Exact_predicates_inexact_constructions_kernel {}; typedef CGAL::Polyhedron_3 Polyhedron; typedef CGAL::Polyhedral_mesh_domain_3 Mesh_domain; // Triangulation typedef CGAL::Mesh_triangulation_3::type Tr; typedef CGAL::Mesh_complex_3_in_triangulation_3 C3t3; // Mesh Criteria typedef CGAL::Mesh_criteria_3 Mesh_criteria; typedef Mesh_criteria::Facet_criteria Facet_criteria; typedef Mesh_criteria::Cell_criteria Cell_criteria; void usage(char *exename){ printf("usage:\n\t%s input.off output.mesh \n",exename); exit(1); } int main(int argc,char *argv[]) { // Create polyhedron Polyhedron polyhedron; float angle=30.f,ssize=6.f,approx=4.f,reratio=3.f,vsize=8.f; printf("Volumetric Mesh Generation Utility (Based on CGAL %s)\n\ (modified for iso2mesh by Qianqian Fang)\nhttp://iso2mesh.sf.net\n\n",CGAL_VERSION_STR); if(argc!=3&&argc!=8&&argc!=9){ usage(argv[0]); } if(argc>=8){ angle=atof(argv[3]); ssize=atof(argv[4]); approx=atof(argv[5]); reratio=atof(argv[6]); vsize=atof(argv[7]); } if(argc==9 && atoi(argv[8])>0){ printf("RNG seed=%d\n",atoi(argv[8])); CGAL::Random rd(atoi(argv[8])); CGAL::Random::State st; rd.save_state(st); CGAL::default_random.restore_state(st); } std::ifstream input(argv[1]); input >> polyhedron; // Create domain Mesh_domain domain(polyhedron); // Mesh criteria Facet_criteria facet_criteria(angle, ssize, approx); // angle, size, approximation Cell_criteria cell_criteria(reratio, vsize); // radius-edge ratio, size Mesh_criteria criteria(facet_criteria, cell_criteria); // Mesh generation C3t3 c3t3 = CGAL::make_mesh_3(domain, criteria); // Output std::ofstream medit_file; if(argc>=3) medit_file.open(argv[2]); else medit_file.open("output.mesh"); c3t3.output_to_medit(medit_file); return 0; } octave-iso2mesh-1.9.6+ds/tools/cgalmesh/mesh_3D_image.cpp0000644001356000007640000001021713724766530022206 0ustar fangqadmin#include #include #include #include #include #include #include // start PV // #include #include #include // end PV // // Domain struct K: public CGAL::Exact_predicates_inexact_constructions_kernel {}; typedef CGAL::Image_3 Image; typedef CGAL::Labeled_image_mesh_domain_3 Mesh_domain; // Triangulation typedef CGAL::Mesh_triangulation_3::type Tr; typedef CGAL::Mesh_complex_3_in_triangulation_3 C3t3; // Mesh Criteria typedef CGAL::Mesh_criteria_3 Mesh_criteria; typedef Mesh_criteria::Facet_criteria Facet_criteria; typedef Mesh_criteria::Cell_criteria Cell_criteria; // start PV // typedef CGAL::Mesh_constant_domain_field_3 Sizing_field_cell; // end PV // void usage(char *exename){ printf("usage:\n\t%s input.inr output.mesh \ \n\ example:\n\t%s input.inr output.mesh 30 6 4 3 8 123456789\n",exename,exename); exit(1); } int main(int argc,char *argv[]) { // Loads image // start PV // //float angle=30.f,ssize=6.f,approx=4.f,reratio=3.f,vsize=8.f; float angle=30.f,ssize=6.f,approx=4.f,reratio=3.f,maxvol=0.f; // end PV // int labelid=0, lid; printf("Volume/Surface Mesh Generation Utility (Based on CGAL %s)\n\ (modified for iso2mesh by Qianqian Fang and Peter Varga)\nhttp://iso2mesh.sf.net\n\n",CGAL_VERSION_STR); if(argc!=3&&argc!=8&&argc!=9){ usage(argv[0]); } if(argc>=8){ angle=atof(argv[3]); ssize=atof(argv[4]); approx=atof(argv[5]); reratio=atof(argv[6]); // start PV // //vsize=atof(argv[7]); // end PV // } if(argc==9 && atoi(argv[8])>0){ printf("RNG seed=%d\n",atoi(argv[8])); CGAL::Random rd(atoi(argv[8])); CGAL::Random::State st; rd.save_state(st); CGAL::default_random.restore_state(st); } Image image; image.read(argv[1]); Mesh_domain domain(image); // Mesh criteria Facet_criteria facet_criteria(angle, ssize, approx); // angle, size, approximation // start PV // //Cell_criteria cell_criteria(reratio, vsize); // radius-edge ratio, size std::string vsize; vsize=argv[7]; std::vector vsize_vect; std::vector labels_vect; std::stringstream stream_vsize(vsize); std::string word_vsize; while( std::getline(stream_vsize, word_vsize, ':') ){ int len=sscanf(word_vsize.c_str(), "%d=%f", &lid, &maxvol); if(len==2){ labelid=lid; if(maxvol<=0.f){ std::cerr << "cell volume must be positive" << std::endl; exit(-2); } labels_vect.push_back(labelid); vsize_vect.push_back(maxvol); }else{ len=sscanf(word_vsize.c_str(), "%f", &maxvol); if(len!=1 || maxvol<0 || word_vsize.find_first_of('=')!=std::string::npos){ std::cerr << "invalid sizing field label '" << word_vsize << "', please check your command" << std::endl; exit(-1); } labels_vect.push_back(++labelid); vsize_vect.push_back(maxvol); } } float max_vsize = *max_element(vsize_vect.begin(),vsize_vect.end()); Sizing_field_cell vsize_cell(max_vsize); int volume_dimension = 3; for (int i=0; i(domain, criteria); // Output std::ofstream medit_file; if(argc>=8) medit_file.open(argv[2]); else medit_file.open("output.mesh"); c3t3.output_to_medit(medit_file); medit_file.close(); return 0; } octave-iso2mesh-1.9.6+ds/tools/cgalmesh/CMakeLists.txt0000644001356000007640000000462313724766530021622 0ustar fangqadmin# Created by the script cgal_create_cmake_script # This is the CMake script for compiling a CGAL application. project( Mesh_3_example ) cmake_minimum_required(VERSION 2.6.2) if("${CMAKE_MAJOR_VERSION}.${CMAKE_MINOR_VERSION}.${CMAKE_PATCH_VERSION}" VERSION_GREATER 2.8.3) cmake_policy(VERSION 2.8.4) else() cmake_policy(VERSION 2.6) endif() include_directories(../../include) include_directories(../../../Triangulation_3/include) include_directories(../../../STL_Extension/include) include_directories(../../../AABB_tree/include) add_definitions(-DCGAL_MESH_3_NO_DEPRECATED_SURFACE_INDEX -DCGAL_MESH_3_NO_DEPRECATED_C3T3_ITERATORS) if ( MESH_3_VERBOSE ) add_definitions(-DCGAL_MESH_3_VERBOSE) endif() find_package(CGAL COMPONENTS ImageIO) if ( CGAL_FOUND ) include( ${CGAL_USE_FILE} ) find_package(Boost) # Activate concurrency ? (turned OFF by default) option(ACTIVATE_CONCURRENT_MESH_3 "Activate parallelism in Mesh_3" OFF) # And add -DCGAL_CONCURRENT_MESH_3 if that option is ON if( ACTIVATE_CONCURRENT_MESH_3 OR ENV{ACTIVATE_CONCURRENT_MESH_3} ) add_definitions( -DCGAL_CONCURRENT_MESH_3 ) find_package( TBB REQUIRED ) else( ACTIVATE_CONCURRENT_MESH_3 OR ENV{ACTIVATE_CONCURRENT_MESH_3} ) option( LINK_WITH_TBB "Link with TBB anyway so we can use TBB timers for profiling" ON) if( LINK_WITH_TBB ) find_package( TBB ) endif( LINK_WITH_TBB ) endif() if( TBB_FOUND ) include(${TBB_USE_FILE}) list(APPEND CGAL_3RD_PARTY_LIBRARIES ${TBB_LIBRARIES}) endif() if ( Boost_FOUND AND Boost_VERSION GREATER 103400 ) include( CGAL_CreateSingleSourceCGALProgram ) # Compilable examples create_single_source_cgal_program( "mesh_polyhedral_domain.cpp") if( WITH_CGAL_ImageIO ) if( CGAL_ImageIO_USE_ZLIB ) create_single_source_cgal_program( "mesh_3D_image.cpp") else() message( STATUS "NOTICE: The examples mesh_3D_image.cpp and mesh_3D_image_variable_size.cpp need CGAL_ImageIO to be configured with ZLIB support, and will not be compiled." ) endif() else() message( STATUS "NOTICE: Some examples need the CGAL_ImageIO library, and will not be compiled." ) endif() else() message(STATUS "NOTICE: This program requires Boost >= 1.34.1, and will not be compiled.") endif() else() message(STATUS "This program requires the CGAL library, and will not be compiled.") endif() octave-iso2mesh-1.9.6+ds/tools/commons/0000755001356000007640000000000013724766530016745 5ustar fangqadminoctave-iso2mesh-1.9.6+ds/tools/commons/Makefile_common.mk0000755001356000007640000000537513724766530022400 0ustar fangqadmin######################################################## # # Makefile for Compiling External Tools needed by Iso2Mesh # Copyright (C) 2018 Qianqian Fang # ######################################################## ######################################################## # Base Makefile for all example/tests and main program # # This file specifies the compiler options for compiling # and linking ######################################################## ifndef ROOTDIR ROOTDIR := . endif ifndef I2MDIR I2MDIR := $(ROOTDIR) endif BXDSRC :=$(I2MDIR)/src CXX := g++ CC := gcc AR := g++ BIN := ../bin BUILT := built BINDIR := $(BIN) OBJDIR := $(BUILT) CCFLAGS := -c -Wall -O3 #-g INCLUDEDIR := $(I2MDIR)/src ARFLAGS := AROUTPUT := -o MAKE :=make CMAKE :=cmake COPY := cp ECHO := echo MKDIR := mkdir OBJSUFFIX := .o BINSUFFIX := OBJS := $(addprefix $(OBJDIR)/, $(FILES)) OBJS := $(subst $(OBJDIR)/$(BXDSRC)/,$(BXDSRC)/,$(OBJS)) OBJS := $(addsuffix $(OBJSUFFIX), $(OBJS)) TARGETSUFFIX:=$(suffix $(BINARY)) ifeq ($(TARGETSUFFIX),.so) CCFLAGS+= -fPIC ARFLAGS+= -shared -Wl,-soname,$(BINARY).1 endif ifeq ($(TARGETSUFFIX),.a) CCFLAGS+= AR := ar ARFLAGS := r AROUTPUT := endif all: $(SUBDIRS) makedirs copybin $(SUBDIRS): if test -f $@/CMakeLists.txt; then cd $@ && $(CMAKE) . && cd ..; fi $(MAKE) -C $@ --no-print-directory copybin: @$(COPY) cgalmesh/mesh_3D_image ../bin/cgalmesh @$(COPY) cgalmesh/mesh_polyhedral_domain ../bin/cgalpoly @$(COPY) cgalsurf/mesh_a_3d_gray_image ../bin/cgalsurf @$(COPY) cgalsimp2/edge_collapse_enriched_polyhedron ../bin/cgalsimp2 @$(COPY) cork/bin/cork ../bin/cork @$(COPY) meshfix/meshfix ../bin/meshfix @$(COPY) meshfix/contrib/JMeshLib/test/jmeshlib ../bin/jmeshlib @$(COPY) tetgen/tetgen ../bin/tetgen1.5 makedirs: @if test ! -d $(BINDIR); then $(MKDIR) $(BINDIR); fi # @if test ! -d $(OBJDIR); then $(MKDIR) $(OBJDIR); fi .SUFFIXES : $(OBJSUFFIX) .cpp ## Compile .cpp files ## $(OBJDIR)/%$(OBJSUFFIX): %.cpp @$(ECHO) Building $@ $(CXX) $(CCFLAGS) $(USERCCFLAGS) -I$(INCLUDEDIR) -o $@ $< ## Compile .cpp files ## %$(OBJSUFFIX): %.cpp @$(ECHO) Building $@ $(CXX) $(CCFLAGS) $(USERCCFLAGS) -I$(INCLUDEDIR) -o $@ $< ## Compile .c files ## $(OBJDIR)/%$(OBJSUFFIX): %.c @$(ECHO) Building $@ $(CC) $(CCFLAGS) $(USERCCFLAGS) -I$(INCLUDEDIR) -o $@ $< ## Link ## $(BINDIR)/$(BINARY): $(OBJS) @$(ECHO) Building $@ $(AR) $(ARFLAGS) $(AROUTPUT) $@ $(OBJS) $(USERARFLAGS) ## Clean clean: rm -rf $(OBJS) $(OBJDIR) #$(BINDIR) ifdef SUBDIRS for i in $(SUBDIRS); do $(MAKE) --no-print-directory -C $$i clean; done endif .PHONY: regression clean arch makedirs dep $(SUBDIRS) octave-iso2mesh-1.9.6+ds/tools/cgalsurf/0000755001356000007640000000000013724766530017100 5ustar fangqadminoctave-iso2mesh-1.9.6+ds/tools/cgalsurf/mesh_a_3d_gray_image.cpp0000644001356000007640000000563213724766530023620 0ustar fangqadmin#include #include #include #include #include #include #include #include #include // default triangulation for Surface_mesher typedef CGAL::Surface_mesh_default_triangulation_3 Tr; // c2t3 typedef CGAL::Complex_2_in_triangulation_3 C2t3; typedef Tr::Geom_traits GT; typedef CGAL::Gray_level_image_3 Gray_level_image; typedef CGAL::Implicit_surface_3 Surface_3; void usage(char *exename){ printf("command options:\n\t%s inrfile thres x0 y0 z0 r2 ang br bd maxnode outputoff \nFor example:\n\ \t%s data/skull_2.9.inr 2.9 122. 102. 117. 80000 30 5. 5. 100000 out.off 123456789 100\n", exename, exename); exit(1); } int main(int argc, char** argv) { unsigned int randseed, initnum=100; // the 'function' is a 3D gray level image printf("Surface Mesh Extraction Utility (Based on CGAL %s)\n(modified for iso2mesh by Qianqian Fang)\n\ http://iso2mesh.sf.net\n\n",CGAL_VERSION_STR); if(argc!=12&&argc!=13 && argc!=14){ usage(argv[0]); } if(argc>=13){ sscanf(argv[12],"%d",&randseed); if(randseed>0){ printf("RNG seed %d\n",atoi(argv[12])); CGAL::Random rd(atoi(argv[12])); CGAL::Random::State st; rd.save_state(st); CGAL::default_random.restore_state(st); } if(argc>=14){ sscanf(argv[13],"%d",&initnum); printf("set initial mesh size to %d\n",initnum); } } Tr tr; // 3D-Delaunay triangulation C2t3 c2t3 (tr); // 2D-complex in 3D-Delaunay triangulation Gray_level_image image(argv[1], atof(argv[2])); // Carefully choosen bounding sphere: the center must be inside the // surface defined by 'image' and the radius must be high enough so that // the sphere actually bounds the whole image. GT::Point_3 bounding_sphere_center(atof(argv[3]), atof(argv[4]), atof(argv[5])); GT::FT bounding_sphere_squared_radius = atof(argv[6]); GT::Sphere_3 bounding_sphere(bounding_sphere_center, bounding_sphere_squared_radius); // definition of the surface, with 10^-5 as relative precision Surface_3 surface(image, bounding_sphere, 1e-5); // defining meshing criteria CGAL::Surface_mesh_default_criteria_3 criteria(atof(argv[7]), atof(argv[8]), atof(argv[9])); // meshing surface, with the "manifold without boundary" algorithm CGAL::make_surface_mesh(c2t3, surface, criteria, CGAL::Manifold_tag(),initnum); std::ofstream out(argv[11]); CGAL::output_surface_facets_to_off (out, c2t3); std::cout << "Final number of points: " << tr.number_of_vertices() << "\n"; } octave-iso2mesh-1.9.6+ds/tools/cgalsurf/CMakeLists.txt0000644001356000007640000000150713724766530021643 0ustar fangqadmin# This is the CMake script for compiling a CGAL application. project( Surface_mesher_example ) cmake_minimum_required(VERSION 2.6.2) if("${CMAKE_MAJOR_VERSION}.${CMAKE_MINOR_VERSION}.${CMAKE_PATCH_VERSION}" VERSION_GREATER 2.8.3) cmake_policy(VERSION 2.8.4) else() cmake_policy(VERSION 2.6) endif() include_directories(../../include) find_package(CGAL QUIET COMPONENTS ImageIO) if ( CGAL_FOUND AND CGAL_ImageIO_FOUND ) include( ${CGAL_USE_FILE} ) include( CGAL_CreateSingleSourceCGALProgram ) create_single_source_cgal_program( "mesh_a_3d_gray_image.cpp" ) else() if(RUNNING_CGAL_AUTO_TEST) # Just to avoid a warning from CMake if that variable is set on the command line... endif() message(STATUS "NOTICE: This program requires the CGAL and CGAL ImageIO libraries, and will not be compiled.") endif() octave-iso2mesh-1.9.6+ds/tools/Makefile0000644001356000007640000000022013724766530016724 0ustar fangqadminROOTDIR=. SUBDIRS=cgalmesh cgalsimp2 cgalsurf cork meshfix meshfix/contrib/JMeshLib/test tetgen include $(ROOTDIR)/commons/Makefile_common.mk octave-iso2mesh-1.9.6+ds/tools/cgalsimp2/0000755001356000007640000000000013724766530017153 5ustar fangqadminoctave-iso2mesh-1.9.6+ds/tools/cgalsimp2/CMakeLists.txt0000644001356000007640000000302413724766530021712 0ustar fangqadmin# Created by the script cgal_create_cmake_script_with_options # This is the CMake script for compiling a set of CGAL applications. project( Surface_mesh_simplification ) cmake_minimum_required(VERSION 2.6.2) if("${CMAKE_MAJOR_VERSION}.${CMAKE_MINOR_VERSION}" VERSION_GREATER 2.6) if("${CMAKE_MAJOR_VERSION}.${CMAKE_MINOR_VERSION}.${CMAKE_PATCH_VERSION}" VERSION_GREATER 2.8.3) cmake_policy(VERSION 2.8.4) else() cmake_policy(VERSION 2.6) endif() endif() set( CMAKE_ALLOW_LOOSE_LOOP_CONSTRUCTS true ) if ( COMMAND cmake_policy ) cmake_policy( SET CMP0003 NEW ) endif() # CGAL and its components find_package( CGAL QUIET COMPONENTS ) if ( NOT CGAL_FOUND ) message(STATUS "This project requires the CGAL library, and will not be compiled.") return() endif() # include helper file include( ${CGAL_USE_FILE} ) # Boost and its components find_package( Boost REQUIRED ) if ( NOT Boost_FOUND ) message(STATUS "This project requires the Boost library, and will not be compiled.") return() endif() find_package( OpenMesh QUIET ) if ( OpenMesh_FOUND ) include( UseOpenMesh ) else() message(STATUS "Examples that use OpenMesh will not be compiled.") endif() # include for local directory # include for local package include_directories( BEFORE ../../include ) # Creating entries for all .cpp/.C files with "main" routine # ########################################################## include( CGAL_CreateSingleSourceCGALProgram ) create_single_source_cgal_program( "edge_collapse_enriched_polyhedron.cpp" ) octave-iso2mesh-1.9.6+ds/tools/cgalsimp2/edge_collapse_enriched_polyhedron.cpp0000644001356000007640000002023713724766530026555 0ustar fangqadmin//------------------------------------------------------------------------- //=================================================================== //= CGAL Mesh Simplification Code Modified for iso2mesh toolbox = //=================================================================== // //Modified by Qianqian Fang //patches from // Fernando Cacciola // Andreas Fabri // //Date: 2008/03 // //------------------------------------------------------------------------- #include #include #include #include #include // Adaptor for Polyhedron_3 #include // AF: added //#include // AF: removed // Simplification function #include // Extended polyhedron items which include an id() field #include // Stop-condition policy #include // Default cost and placement policies #include // Non-default cost and placement policies #include #include typedef CGAL::Simple_cartesian Kernel; typedef Kernel::Point_3 Point ; // // Setup an enriched polyhedron type which stores an id() field in the items // typedef CGAL::Polyhedron_3 Surface; typedef Surface::Halfedge_handle Halfedge_handle ; namespace SMS = CGAL::Surface_mesh_simplification ; typedef SMS::Edge_profile Profile ; // The following is a Visitor that keeps track of the simplification process. // In this example the progress is printed real-time and a few statistics are // recorded (and printed in the end). // struct Visitor { Visitor() : collected(0) , processed(0) , collapsed(0) , non_collapsable(0) , cost_uncomputable(0) , placement_uncomputable(0) {} // Called on algorithm entry void OnStarted( Surface& ) {} // Called on algorithm exit void OnFinished ( Surface& ) { std::cerr << "\n" << std::flush ; } // Called when the stop condition returned true void OnStopConditionReached( Profile const& ) {} // Called during the collecting phase for each edge collected. void OnCollected( Profile const&, boost::optional const& ) { ++ collected ; // std::cerr << "\rEdges collected: " << collected << std::flush ; } // Called during the processing phase for each edge selected. // If cost is absent the edge won't be collapsed. void OnSelected(Profile const& ,boost::optional cost ,std::size_t initial ,std::size_t current ) { ++ processed ; if ( !cost ) ++ cost_uncomputable ; /* if ( current == initial ) std::cerr << "\n" << std::flush ; std::cerr << "\r" << current << std::flush ; */ } // Called during the processing phase for each edge being collapsed. // If placement is absent the edge is left uncollapsed. void OnCollapsing(Profile const& ,boost::optional placement ) { if ( placement ) ++ collapsed; else ++ placement_uncomputable ; } // Called for each edge which failed the so called link-condition, // that is, which cannot be collapsed because doing so would // turn the surface into a non-manifold. void OnNonCollapsable( Profile const& ) { ++ non_collapsable; } // AF: added void OnCollapsed(Profile const&, Surface::Vertex_handle) {} std::size_t collected , processed , collapsed , non_collapsable , cost_uncomputable , placement_uncomputable ; } ; template struct Cost_with_fixed_edges : GetCost_ { typedef GetCost_ GetCost ; // typedef typename GetCost::Profile Profile ; // AF Profile no longer nested type //typedef typename GetCost::Point Point ; // AF //typedef typename GetCost::result_type result_type ; // AF template // AF: make it a template boost::optional operator()( Profile const& aProfile, T const& aPlacement ) const // replace result_type { if ( aProfile.border_edges().size() > 0 ) return boost::none ; else return this->GetCost::operator()(aProfile, aPlacement); } } ; typedef Cost_with_fixed_edges< SMS::Edge_length_cost > My_cost ; typedef Cost_with_fixed_edges< SMS::LindstromTurk_cost > LT_cost ; int main( int argc, char** argv ) { Surface surface; float maxface=0.1; int defaultpolicy=0; printf("= Surface Mesh Simplification Utility (Based on CGAL %s) =\n(modified for iso2mesh by Qianqian Fang, Fernando Cacciola and Andreas Fabri)\nhttp://iso2mesh.sf.net\n\n",CGAL_VERSION_STR); if(argc<2){ printf("command options\n\t%s input.off keepratio\nFor example:\n\t%s input.off 0.1\n",argv[0],argv[0]); exit(0); } std::ifstream is(argv[1]) ; is >> surface ; if(argc>2) maxface=atof(argv[2]); if(maxface<0){ defaultpolicy=1; maxface=-maxface; } printf("max face ratio=%f\n",maxface); // The items in this polyhedron have an "id()" field // which the default index maps used in the algorithm // need to get the index of a vertex/edge. // However, the Polyhedron_3 class doesn't assign any value to // this id(), so we must do it here: int index = 0 ; for( Surface::Halfedge_iterator eb = surface.halfedges_begin() , ee = surface.halfedges_end() ; eb != ee ; ++ eb ) eb->id() = index++; printf("edge index number %d\n",index); index = 0 ; for( Surface::Vertex_iterator vb = surface.vertices_begin() , ve = surface.vertices_end() ; vb != ve ; ++ vb ) vb->id() = index++; // In this example, the simplification stops when the number of undirected edges // drops below 10% of the initial count SMS::Count_ratio_stop_predicate stop(maxface); Visitor vis ; // The index maps are not explicitelty passed as in the previous // example because the surface items have a proper id() field. // On the other hand, we pass here explicit cost and placement // function which differ from the default policies, ommited in // the previous example. printf("mesh simplificaton in progress ...\n"); int r; if(defaultpolicy) r = SMS::edge_collapse (surface ,stop ,CGAL::parameters::get_cost (LT_cost()) .get_placement (SMS::LindstromTurk_placement()) .visitor(vis) // AF: not a pointer ); else r = SMS::edge_collapse (surface ,stop ,CGAL::parameters::get_cost (My_cost()) .get_placement (SMS::Midpoint_placement()) .visitor(vis) ); std::cout << "\nEdges collected: " << vis.collected << "\nEdges proccessed: " << vis.processed << "\nEdges collapsed: " << vis.collapsed << std::endl << "\nEdges not collapsed due to topological constrians: " << vis.non_collapsable << "\nEdge not collapsed due to cost computation constrians: " << vis.cost_uncomputable << "\nEdge not collapsed due to placement computation constrians: " << vis.placement_uncomputable << std::endl ; std::cout << "\nFinished...\n" << r << " edges removed.\n" << (surface.size_of_halfedges()/2) << " final edges.\n" ; std::ofstream os( argc > 3 ? argv[3] : "out.off" ) ; os << surface ; return 0 ; } // EOF // octave-iso2mesh-1.9.6+ds/extrudesurf.m0000644001356000007640000000136413724766530016674 0ustar fangqadminfunction [node,face]=extrudesurf(no,fc,vec) % % [node,face]=extrudesurf(no,fc,vec) % % create a enclosed surface mesh by extruding an open surface % % author: Qianqian Fang, % % input: % % output: % node: 3D node coordinates for the generated surface mesh % face: triangular face patches of the generated surface mesh, each % row represents a triangle denoted by the indices of the 3 nodes % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % nlen=size(no,1); if(length(vec)>1) node=[no; no+repmat(vec(:)', nlen,1)]; else node=[no; no+vec*nodesurfnorm(no, fc)]; end face=[fc; fc+nlen]; edge=surfedge(fc); sideface=[edge edge(:,1)+nlen; edge+nlen edge(:,2)]; face=[face; sideface]; octave-iso2mesh-1.9.6+ds/saveabaqus.m0000644001356000007640000000520513724766530016445 0ustar fangqadminfunction saveabaqus(node,face,elem,fname,heading) % % saveabaqus(node,fname) % saveabaqus(node,face,fname) % saveabaqus(node,face,elem,fname) % % save a tetrahedral and/or surface mesh as an ABAQUS input file % % author: Qianqian Fang, % date: 2012/07/05 % % input: % node: input, surface node list, dimension (nn,3) % face: input, surface face element list, dimension (be,3) % elem: input, tetrahedral element list, dimension (ne,4) % fname: output file name % heading: optional, a descriptive string for the mesh % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % if(nargin==2) fname=face; face=[]; elem=[]; end if(nargin==3) fname=elem; elem=[]; end fid=fopen(fname,'wt'); if(fid==-1) error('You do not have permission to save mesh files.'); end fprintf(fid,'*HEADING\n'); if(exist('heading','var')) fprintf(fid,'**%s\n',heading); end fprintf(fid,'*PREPRINT,MODEL=NO,HISTORY=NO,ECHO=NO\n'); if(~isempty(node)) node=[(1:size(node,1))' node(:,1:3)]; fprintf(fid,'*NODE, NSET=MeshNode\n'); fprintf(fid,'%d,\t%e,\t%e,\t%e\n',node'); end if(~isempty(elem)) if(size(elem,2)==4) elem(:,5)=0; labels=0; elseif(size(elem,2)<4) error('elem must have at least 4 columns'); else labels=unique(elem(:,5)); end len=length(labels); count=0; elsetall=''; for i=1:len idx=find(elem(:,5)==labels(i)); fprintf(fid,'*ELEMENT, ELSET=MeshTetra%d, TYPE=C3D4\n',labels(i)); fprintf(fid,'%d,\t%d,\t%d,\t%d,\t%d\n',[count+(1:length(idx))' elem(idx,1:4)]'); count=count+length(idx); if(length(elsetall)==0) elsetall=['MeshTetra' num2str(labels(i))]; else elsetall=sprintf('%s,MeshTetra%d',elsetall,labels(i)); end end if(length(elsetall)) fprintf(fid,'*ELSET, ELSET=MeshTetraAll\n%s\n',elsetall); end end if(~isempty(face)) if(size(face,2)==3) face(:,4)=0; labels=0; elseif(size(face,2)<3) error('face must have at least 3 columns'); else labels=unique(face(:,4)); end len=length(labels); if(exist('count','var')==0) count=0; end elsetall=''; for i=1:len idx=find(face(:,4)==labels(i)); fprintf(fid,'*ELEMENT, ELSET=MeshTri%d, TYPE=S3R\n',labels(i)); fprintf(fid,'%d,\t%d,\t%d,\t%d\n',[count+(1:length(idx))' face(idx,1:3)]'); count=count+length(idx); if(length(elsetall)==0) elsetall=['MeshTetra' num2str(labels(i))]; else elsetall=sprintf('%s,MeshTri%d',elsetall,labels(i)); end end if(length(elsetall)) fprintf(fid,'*ELSET, ELSET=MeshTriAll\n%s\n',elsetall); end end fclose(fid); octave-iso2mesh-1.9.6+ds/readtetgen.m0000644001356000007640000000242713724766530016437 0ustar fangqadminfunction [node,elem,face]=readtetgen(fstub) % % [node,elem,face]=readtetgen(fstub) % % read tetgen output files % % author: Qianqian Fang, % date: 2007/11/21 % % input: % fstub: file name stub % % output: % node: node coordinates of the tetgen mesh % elem: tetrahedra element list of the tetgen mesh % face: surface triangles of the tetgen mesh % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % % read node file fp=fopen([fstub,'.node'],'rt'); if(fp==0) error('node file is missing!'); end [dim,count] = fscanf(fp,'%d',4); if(count<4) error('wrong node file'); end node=fscanf(fp,'%f',[4,dim(1)]); idx=node(1,:); node=node(2:4,:)'; fclose(fp); % read element file fp=fopen([fstub,'.ele'],'rt'); if(fp==0) error('elem file is missing!'); end [dim,count] = fscanf(fp,'%d',3); if(count<3) error('wrong elem file'); end elem=fscanf(fp,'%d',[dim(2)+dim(3)+1,dim(1)]); elem=elem'; elem(:,1)=[]; elem(:,1:dim(2))=elem(:,1:dim(2))+(1-idx(1)); fclose(fp); % read surface mesh file fp=fopen([fstub,'.face'],'rt'); if(fp==0) error('surface data file is missing!'); end [dim,count] = fscanf(fp,'%d',2); if(count<2) error('wrong surface file'); end face=fscanf(fp,'%d',[5,dim(1)]); face=[face(2:end-1,:)+1;face(end,:)]'; fclose(fp); octave-iso2mesh-1.9.6+ds/smoothbinvol.m0000644001356000007640000000302113724766530017027 0ustar fangqadminfunction vol=smoothbinvol(vol,layer) % % vol=smoothbinvol(vol,layer) % % perform a memory-limited 3D image smoothing % % author: Qianqian Fang % % input: % vol: a 3D volumetric image to be smoothed % layer: number of iterations for the smoothing % % output: % vol: the volumetric image after smoothing % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % dim=size(vol); dxy=dim(1)*dim(2); fulllen=prod(dim); weight=1./6.; step=4000; % in case vol is a logical vol=double(vol); offs=[1,-1,dim(1), -dim(1),dxy, -dxy]; for i=1:layer % find all non-zero values idx=find(vol); % get the neighbors of all the non-zero values % this may cause wrapping -- TODO val=vol(idx); for k=1:6 nextidx=idx+offs(k); % find all 1-valued voxels that are located within the domain goodidx=find(nextidx>0 & nextidxstep) for j=1:step:len-step vol(nextidx(goodidx(j:j+step-1)))=vol(nextidx(goodidx(j:j+step-1)))+weight*val(goodidx(j:j+step-1)); end vol(nextidx(goodidx(j+step:end)))=vol(nextidx(goodidx(j+step:end)))+weight*val(goodidx(j+step:end)); else vol(nextidx(goodidx))=vol(nextidx(goodidx))+weight*val(goodidx); end % the above line may change the values of the non-zero voxels, recover % them end vol(idx)=val; end octave-iso2mesh-1.9.6+ds/vol2surf.m0000644001356000007640000002142413724766530016075 0ustar fangqadminfunction [no,el,regions,holes]=vol2surf(img,ix,iy,iz,opt,dofix,method,isovalues) % % [no,el,regions,holes]=vol2surf(img,ix,iy,iz,opt,dofix,method,isovalues) % % converting a 3D volumetric image to surfaces % % author: Qianqian Fang (q.fang at neu.edu) % % input: % img: a volumetric binary image; if img is empty, vol2surf will % return user defined surfaces via opt.surf if it exists % ix,iy,iz: subvolume selection indices in x,y,z directions % opt: function parameters % if method is 'cgalsurf' or 'cgalpoly': % opt=a float number>1: max radius of the Delaunay sphere(element size) % opt.radbound: same as above, max radius of the Delaunay sphere % opt.distbound: maximum deviation from the specified isosurfaces % opt(1,2,...).radbound: same as above, for each levelset % if method is 'simplify': % opt=a float number<1: compression rate for surf. simplification % opt.keepratio=a float less than 1: same as above, same for all surf. % opt(1,2,..).keepratio: setting compression rate for each levelset % opt(1,2,..).maxsurf: 1 - only use the largest disjointed surface % 0 - use all surfaces for that levelset % opt(1,2,..).side: - 'upper': threshold at upper interface % 'lower': threshold at lower interface % opt(1,2,..).maxnode: - the maximum number of surface node per levelset % opt(1,2,..).holes: user specified holes interior pt list % opt(1,2,..).regions: user specified regions interior pt list % opt(1,2,..).surf.{node,elem}: add additional surfaces % opt(1,2,..).{A,B}: linear transformation for each surface % opt.autoregion: if set to 1, vol2surf will try to determine % the interior points for each closed surface automatically % dofix: 1: perform mesh validation&repair, 0: skip repairing % method: - if method is 'simplify', iso2mesh will first call % binsurface to generate a voxel-based surface mesh and then % use meshresample/meshcheckrepair to create a coarser mesh; % - if method is 'cgalsurf', iso2mesh will call the surface % extraction program from CGAL to make surface mesh % - if method is not specified, 'cgalsurf' is assumed by default % isovalues: a list of isovalues where the levelset is defined % % output: % no: list of nodes on the resulting suface mesh, 3 columns for x,y,z % el: list of trianglular elements on the surface, [n1,n2,n3,region_id] % regions: list of interior points for all sub-region, [x,y,z] % holes: list of interior points for all holes, [x,y,z] % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % fprintf(1,'extracting surfaces from a volume ...\n'); el=[]; no=[]; if(isstruct(opt) && isfield(opt,'holes')) holes=opt.holes; else holes=[]; end if(isstruct(opt) && isfield(opt,'regions')) regions=opt.regions; else regions=[]; end maxlevel=0; if(~isempty(img)) img=img(ix,iy,iz); dim=size(img); newdim=dim+[2 2 2]; newimg=zeros(newdim); newimg(2:end-1,2:end-1,2:end-1)=img; if(nargin<8) maxlevel=max(newimg(:)); isovalues=1:maxlevel; else isovalues=unique(sort(isovalues)); maxlevel=length(isovalues); end for i=1:maxlevel if(i=isovalues(i) & newimg=isovalues(i)); end [levelno,levelel]=binsurface(levelmask); if(~isempty(levelel)) if(isstruct(opt) && isfield(opt,'autoregion')) if(opt.autoregion) seeds=surfseeds(levelno,levelel); else seeds=surfinterior(levelno,levelel); end else seeds=surfinterior(levelno,levelel); end if(~isempty(seeds)) disp([sprintf('region %d centroid :',i) sprintf('\t%f %f %f\n', seeds')]); if(~isempty(regions)) regions(end+1:end+size(seeds,1),:)=seeds; else regions=seeds; end end end end for i=1:maxlevel fprintf(1,'processing threshold level %d...\n',i); if(nargin>=7 && strcmp(method,'simplify')) [v0,f0]=binsurface(newimg>=isovalues(i)); % not sure if binsurface works for multi-value arrays % with binsurface, I think the following line is not needed anymore % v0(:,[1 2])=v0(:,[2 1]); % isosurface(V,th) assumes x/y transposed if(dofix) [v0,f0]=meshcheckrepair(v0,f0); end if(isstruct(opt) && length(opt)==maxlevel) keepratio=opt(i).keepratio; elseif (isstruct(opt) && length(opt)==1) keepratio=opt.keepratio; else keepratio=opt; end; % first, resample the surface mesh with cgal fprintf(1,'resampling surface mesh for level %d...\n',i); [v0,f0]=meshresample(v0,f0,keepratio); % iso2mesh is not stable for meshing small islands,remove them (max 3x3x3 voxels) f0=removeisolatedsurf(v0,f0,3); if(dofix) [v0,f0]=meshcheckrepair(v0,f0); end elseif(nargin<7 || strcmp(method,'cgalsurf') || strcmp(method,'cgalpoly')) if(isstruct(opt) && length(opt)==maxlevel) radbound=opt(i).radbound; elseif (isstruct(opt) && length(opt)==1) radbound=opt.radbound; else radbound=opt; end; maxsurfnode=40000; % maximum node numbers for each level if(isstruct(opt) && length(opt)==maxlevel) if(isfield(opt(i),'maxnode')) maxsurfnode=opt(i).maxnode; end elseif (isstruct(opt) && length(opt)==1 ) if(isfield(opt(1),'maxnode')) maxsurfnode=opt.maxnode; end end distbound=radbound; if(isstruct(opt) && length(opt)==maxlevel) if(isfield(opt(i),'distbound')) distbound=opt(i).distbound; end elseif (isstruct(opt) && length(opt)==1 ) if(isfield(opt(1),'distbound')) distbound=opt.distbound; end end surfside=''; if(isstruct(opt) && length(opt)==maxlevel) if(isfield(opt(i),'side')) surfside=opt(i).side; end elseif (isstruct(opt) && length(opt)==1) if(isfield(opt(1),'side')) surfside=opt(1).side; end end if(~isempty(surfside)) newimg0=newimg; end if(strcmp(surfside,'upper')) newimg(find(newimg<=isovalues(i)-1e-9))=isovalues(i)-1e-9; elseif(strcmp(surfside,'lower')) newimg(find(newimg>=isovalues(i)+1e-9))=isovalues(i)+1e-9; end perturb=1e-4*abs(max(isovalues)); if(all(newimg>isovalues(i)-perturb)) perturb=-perturb; end [v0,f0]=vol2restrictedtri(newimg,isovalues(i)-perturb,regions(i,:),... sum(newdim.*newdim)*2,30,radbound,distbound,maxsurfnode); if(~isempty(surfside)) newimg=newimg0; clear newimg0; end else error('method can only be one of "cgalsurf", "cgalpoly" or "simplify".'); end % if use defines maxsurf=1, take only the largest closed surface if(isstruct(opt)) if( (isfield(opt,'maxsurf') && length(opt)==1 && opt.maxsurf==1) || ... (length(opt)==maxlevel && isfield(opt(i),'maxsurf') && opt(i).maxsurf==1)) f0=maxsurf(finddisconnsurf(f0)); end end % if a transformation matrix/offset vector supplied, apply them if(isstruct(opt) && length(opt)==maxlevel) if(isfield(opt(i),'A') && isfield(opt(i),'B')) v0=(opt(i).A*v0'+repmat(opt(i).B(:),1,size(v0,1)))'; end elseif (isstruct(opt) && length(opt)==1) if(isfield(opt,'A') && isfield(opt,'B')) v0=(opt.A*v0'+repmat(opt.B(:),1,size(v0,1)))'; end end % if user specified holelist and regionlist, append them if(isstruct(opt) && length(opt)==maxlevel) if(isfield(opt(i),'hole')) holes=[holes;opt(i).hole] end if(isfield(opt(i),'region')) regions=[regions;opt(i).region] end end if(i==0) el=[f0 (i+1)*ones(size(f0,1),1)]; no=v0; else el=[el;f0+length(no) (i+1)*ones(size(f0,1),1)]; no=[no;v0]; end end %some final fix and scaling no(:,1:3)=no(:,1:3)-1; % because we padded the image with a 1 voxel thick null layer in newimg no(:,1)=no(:,1)*(max(ix)-min(ix)+1)/dim(1)+(min(ix)-1); no(:,2)=no(:,2)*(max(iy)-min(iy)+1)/dim(2)+(min(iy)-1); no(:,3)=no(:,3)*(max(iz)-min(iz)+1)/dim(3)+(min(iz)-1); end % if not isempty(img) if(isstruct(opt) && isfield(opt,'surf')) for i=1:length(opt.surf) opt.surf(i).elem(:,4)=maxlevel+i; el=[el;opt.surf(i).elem+length(no)]; no=[no;opt.surf(i).node]; end end fprintf(1,'surface mesh generation is complete\n'); octave-iso2mesh-1.9.6+ds/zlibdecode.m0000644001356000007640000000431113724766530016413 0ustar fangqadminfunction varargout = zlibdecode(varargin) % % output = zlibdecode(input) % or % output = zlibdecode(input,info) % % Decompressing a ZLIB-compressed byte-stream to recover the original data % This function depends on JVM in MATLAB or, can optionally use the ZMat % toolbox (http://github.com/fangq/zmat) % % Copyright (c) 2012, Kota Yamaguchi % URL: https://www.mathworks.com/matlabcentral/fileexchange/39526-byte-encoding-utilities % % Modified by: Qianqian Fang (q.fang neu.edu) % % input: % input: a string, int8/uint8 vector or numerical array to store ZLIB-compressed data % info (optional): a struct produced by the zmat/lz4hcencode function during % compression; if not given, the inputs/outputs will be treated as a % 1-D vector % % output: % output: the decompressed byte stream stored in a uint8 vector; if info is % given, output will restore the original data's type and dimensions % % examples: % [bytes, info]=zlibencode(eye(10)); % orig=zlibdecode(bytes,info); % % license: % BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details % % -- this function is part of JSONLab toolbox (http://iso2mesh.sf.net/cgi-bin/index.cgi?jsonlab) % if(nargin==0) error('you must provide at least 1 input'); end if(exist('zmat','file')==2 || exist('zmat','file')==3) if(nargin>1) [varargout{1:nargout}]=zmat(varargin{1},varargin{2:end}); else [varargout{1:nargout}]=zmat(varargin{1},0,'zlib',varargin{2:end}); end return; elseif(isoctavemesh) error('You must install the ZMat toolbox (http://github.com/fangq/zmat) to use this function in Octave'); end error(javachk('jvm')); if(ischar(varargin{1})) varargin{1}=uint8(varargin{1}); end input=typecast(varargin{1}(:)','uint8'); buffer = java.io.ByteArrayOutputStream(); zlib = java.util.zip.InflaterOutputStream(buffer); zlib.write(input, 0, numel(input)); zlib.close(); if(nargout>0) varargout{1} = typecast(buffer.toByteArray(), 'uint8')'; if(nargin>1 && isstruct(varargin{2}) && isfield(varargin{2},'type')) inputinfo=varargin{2}; varargout{1}=typecast(varargout{1},inputinfo.type); varargout{1}=reshape(varargout{1},inputinfo.size); end end octave-iso2mesh-1.9.6+ds/jdatadecode.m0000644001356000007640000004676013724766530016554 0ustar fangqadminfunction newdata=jdatadecode(data,varargin) % % newdata=jdatadecode(data,opt,...) % % Convert all JData object (in the form of a struct array) into an array % (accepts JData objects loaded from either loadjson/loadubjson or % jsondecode for MATLAB R2016b or later) % % This function implements the JData Specification Draft 3 (Jun. 2020) % see http://github.com/fangq/jdata for details % % authors:Qianqian Fang (q.fang neu.edu) % % input: % data: a struct array. If data contains JData keywords in the first % level children, these fields are parsed and regrouped into a % data object (arrays, trees, graphs etc) based on JData % specification. The JData keywords are % "_ArrayType_", "_ArraySize_", "_ArrayData_" % "_ArrayIsSparse_", "_ArrayIsComplex_", % "_ArrayZipType_", "_ArrayZipSize", "_ArrayZipData_" % opt: (optional) a list of 'Param',value pairs for additional options % The supported options include % Recursive: [1|0] if set to 1, will apply the conversion to % every child; 0 to disable % Base64: [0|1] if set to 1, _ArrayZipData_ is assumed to % be encoded with base64 format and need to be % decoded first. This is needed for JSON but not % UBJSON data % Prefix: ['x0x5F'|'x'] for JData files loaded via loadjson/loadubjson, the % default JData keyword prefix is 'x0x5F'; if the % json file is loaded using matlab2018's % jsondecode(), the prefix is 'x'; this function % attempts to automatically determine the prefix; % for octave, the default value is an empty string ''. % FullArrayShape: [0|1] if set to 1, converting _ArrayShape_ % objects to full matrices, otherwise, stay sparse % FormatVersion: [2|float]: set the JSONLab output version; % since v2.0, JSONLab uses JData specification Draft 1 % for output format, it is incompatible with all % previous releases; if old output is desired, % please set FormatVersion to 1 % % output: % newdata: the covnerted data if the input data does contain a JData % structure; otherwise, the same as the input. % % examples: % obj={[],{'test'},true,struct('sparse',sparse(2,3),'magic',uint8(magic(5)))} % jdata=jdatadecode(jdataencode(obj)) % isequaln(obj,jdata) % % license: % BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details % % -- this function is part of JSONLab toolbox (http://iso2mesh.sf.net/cgi-bin/index.cgi?jsonlab) % newdata=data; opt=struct; if(nargin==2) opt=varargin{1}; elseif(nargin>2) opt=varargin2struct(varargin{:}); end opt.fullarrayshape=jsonopt('FullArrayShape',0,opt); %% process non-structure inputs if(~isstruct(data)) if(iscell(data)) newdata=cellfun(@(x) jdatadecode(x,opt),data,'UniformOutput',false); elseif(isa(data,'containers.Map')) newdata=containers.Map('KeyType',data.KeyType,'ValueType','any'); names=data.keys; for i=1:length(names) newdata(names{i})=jdatadecode(data(names{i}),opt); end end return; end %% assume the input is a struct below fn=fieldnames(data); len=length(data); needbase64=jsonopt('Base64',0,opt); format=jsonopt('FormatVersion',2,opt); if(isoctavemesh) prefix=jsonopt('Prefix','',opt); else prefix=jsonopt('Prefix','x0x5F',opt); end if(~isfield(data,N_('_ArrayType_')) && isfield(data,'x_ArrayType_')) prefix='x'; opt.prefix='x'; end %% recursively process subfields if(jsonopt('Recursive',1,opt)==1) for i=1:length(fn) % depth-first for j=1:len if(isstruct(data(j).(fn{i})) || isa(data(j).(fn{i}),'containers.Map')) newdata(j).(fn{i})=jdatadecode(data(j).(fn{i}),opt); elseif(iscell(data(j).(fn{i}))) newdata(j).(fn{i})=cellfun(@(x) jdatadecode(x,opt),newdata(j).(fn{i}),'UniformOutput',false); end end end end %% handle array data if(isfield(data,N_('_ArrayType_')) && (isfield(data,N_('_ArrayData_')) || isfield(data,N_('_ArrayZipData_')))) newdata=cell(len,1); for j=1:len if(isfield(data,N_('_ArrayZipSize_')) && isfield(data,N_('_ArrayZipData_'))) zipmethod='zip'; if(isstruct(data(j).(N_('_ArrayZipSize_')))) data(j).(N_('_ArrayZipSize_'))=jdatadecode(data(j).(N_('_ArrayZipSize_')),opt); end dims=data(j).(N_('_ArrayZipSize_'))(:)'; if(length(dims)==1) dims=[1 dims]; end if(isfield(data,N_('_ArrayZipType_'))) zipmethod=data(j).(N_('_ArrayZipType_')); end if(~isempty(strmatch(zipmethod,{'zlib','gzip','lzma','lzip','lz4','lz4hc'}))) decompfun=str2func([zipmethod 'decode']); arraytype=data(j).(N_('_ArrayType_')); chartype=0; if(strcmp(arraytype,'char') || strcmp(arraytype,'logical')) chartype=1; arraytype='uint8'; end if(needbase64) ndata=reshape(typecast(decompfun(base64decode(data(j).(N_('_ArrayZipData_')))),arraytype),dims); else ndata=reshape(typecast(decompfun(data(j).(N_('_ArrayZipData_'))),arraytype),dims); end if(chartype) ndata=char(ndata); end else error('compression method is not supported'); end else if(isstruct(data(j).(N_('_ArrayData_')))) data(j).(N_('_ArrayData_'))=jdatadecode(data(j).(N_('_ArrayData_')),opt); end if(isstruct(data(j).(N_('_ArrayData_'))) && isfield(data(j).(N_('_ArrayData_')),N_('_ArrayType_'))) data(j).(N_('_ArrayData_'))=jdatadecode(data(j).(N_('_ArrayData_')),varargin{:}); end if(iscell(data(j).(N_('_ArrayData_')))) data(j).(N_('_ArrayData_'))=cell2mat(cellfun(@(x) double(x(:)),data(j).(N_('_ArrayData_')),'uniformoutput',0)).'; end ndata=cast(data(j).(N_('_ArrayData_')),char(data(j).(N_('_ArrayType_')))); end if(isfield(data,N_('_ArrayZipSize_'))) if(isstruct(data(j).(N_('_ArrayZipSize_')))) data(j).(N_('_ArrayZipSize_'))=jdatadecode(data(j).(N_('_ArrayZipSize_')),opt); end dims=data(j).(N_('_ArrayZipSize_'))(:)'; if(iscell(dims)) dims=cell2mat(dims); end if(length(dims)==1) dims=[1 dims]; end ndata=reshape(ndata(:),fliplr(dims)); ndata=permute(ndata,ndims(ndata):-1:1); end iscpx=0; if(isfield(data,N_('_ArrayIsComplex_')) && isstruct(data(j).(N_('_ArrayIsComplex_'))) ) data(j).(N_('_ArrayIsComplex_'))=jdatadecode(data(j).(N_('_ArrayIsComplex_')),opt); end if(isfield(data,N_('_ArrayIsComplex_')) && data(j).(N_('_ArrayIsComplex_')) ) iscpx=1; end iscol=0; if(isfield(data,N_('_ArrayOrder_'))) arrayorder=data(j).(N_('_ArrayOrder_')); if(~isempty(arrayorder) && (arrayorder(1)=='c' || arrayorder(1)=='C')) iscol=1; end end if(isfield(data,N_('_ArrayIsSparse_')) && isstruct(data(j).(N_('_ArrayIsSparse_'))) ) data(j).(N_('_ArrayIsSparse_'))=jdatadecode(data(j).(N_('_ArrayIsSparse_')),opt); end if(isfield(data,N_('_ArrayIsSparse_')) && data(j).(N_('_ArrayIsSparse_'))) if(isfield(data,N_('_ArraySize_'))) if(isstruct(data(j).(N_('_ArraySize_')))) data(j).(N_('_ArraySize_'))=jdatadecode(data(j).(N_('_ArraySize_')),opt); end dim=data(j).(N_('_ArraySize_'))(:)'; if(iscell(dim)) dim=cell2mat(dim); end dim=double(dim); if(length(dim)==1) dim=[1 dim]; end if(iscpx) ndata(end-1,:)=complex(ndata(end-1,:),ndata(end,:)); end if isempty(ndata) % All-zeros sparse ndata=sparse(dim(1),prod(dim(2:end))); elseif dim(1)==1 % Sparse row vector ndata=sparse(1,ndata(1,:),ndata(2,:),dim(1),prod(dim(2:end))); elseif dim(2)==1 % Sparse column vector ndata=sparse(ndata(1,:),1,ndata(2,:),dim(1),prod(dim(2:end))); else % Generic sparse array. ndata=sparse(ndata(1,:),ndata(2,:),ndata(3,:),dim(1),prod(dim(2:end))); end else if(iscpx && size(ndata,2)==4) ndata(3,:)=complex(ndata(3,:),ndata(4,:)); end ndata=sparse(ndata(1,:),ndata(2,:),ndata(3,:)); end elseif(isfield(data,N_('_ArrayShape_'))) if(isstruct(data(j).(N_('_ArrayShape_')))) data(j).(N_('_ArrayShape_'))=jdatadecode(data(j).(N_('_ArrayShape_')),opt); end if(iscpx) if(size(ndata,1)==2) dim=size(ndata); dim(end+1)=1; arraydata=reshape(complex(ndata(1,:),ndata(2,:)),dim(2:end)); else error('The first dimension must be 2 for complex-valued arrays'); end else arraydata=data.(N_('_ArrayData_')); end shapeid=data.(N_('_ArrayShape_')); if(isfield(data,N_('_ArrayZipSize_'))) datasize=data.(N_('_ArrayZipSize_')); if(iscell(datasize)) datasize=cell2mat(datasize); end datasize=double(datasize); if(iscpx) datasize=datasize(2:end); end else datasize=size(arraydata); end if(isstruct(data(j).(N_('_ArraySize_')))) data(j).(N_('_ArraySize_'))=jdatadecode(data(j).(N_('_ArraySize_')),opt); end arraysize=data.(N_('_ArraySize_')); if(iscell(arraysize)) arraysize=cell2mat(arraysize); end arraysize=double(arraysize); if(ischar(shapeid)) shapeid={shapeid}; end arraydata=double(arraydata).'; if(strcmpi(shapeid{1},'diag')) ndata=spdiags(arraydata(:),0,arraysize(1),arraysize(2)); elseif(strcmpi(shapeid{1},'upper') || strcmpi(shapeid{1},'uppersymm')) ndata=zeros(arraysize); ndata(triu(true(size(ndata)))')=arraydata(:); if(strcmpi(shapeid{1},'uppersymm')) ndata(triu(true(size(ndata))))=arraydata(:); end ndata=ndata.'; elseif(strcmpi(shapeid{1},'lower') || strcmpi(shapeid{1},'lowersymm')) ndata=zeros(arraysize); ndata(tril(true(size(ndata)))')=arraydata(:); if(strcmpi(shapeid{1},'lowersymm')) ndata(tril(true(size(ndata))))=arraydata(:); end ndata=ndata.'; elseif(strcmpi(shapeid{1},'upperband') || strcmpi(shapeid{1},'uppersymmband')) if(length(shapeid)>1 && isvector(arraydata)) datasize=double([shapeid{2}+1, prod(datasize)/(shapeid{2}+1)]); end ndata=spdiags(reshape(arraydata,min(arraysize),datasize(1)),-datasize(1)+1:0,arraysize(2),arraysize(1)).'; if(strcmpi(shapeid{1},'uppersymmband')) diagonal=diag(ndata); ndata=ndata+ndata.'; ndata(1:arraysize(1)+1:end)=diagonal; end elseif(strcmpi(shapeid{1},'lowerband') || strcmpi(shapeid{1},'lowersymmband')) if(length(shapeid)>1 && isvector(arraydata)) datasize=double([shapeid{2}+1, prod(datasize)/(shapeid{2}+1)]); end ndata=spdiags(reshape(arraydata,min(arraysize),datasize(1)),0:datasize(1)-1,arraysize(2),arraysize(1)).'; if(strcmpi(shapeid{1},'lowersymmband')) diagonal=diag(ndata); ndata=ndata+ndata.'; ndata(1:arraysize(1)+1:end)=diagonal; end elseif(strcmpi(shapeid{1},'band')) if(length(shapeid)>1 && isvector(arraydata)) datasize=double([shapeid{2}+shapeid{3}+1, prod(datasize)/(shapeid{2}+shapeid{3}+1)]); end ndata=spdiags(reshape(arraydata,min(arraysize),datasize(1)),double(shapeid{2}):-1:-double(shapeid{3}),arraysize(1),arraysize(2)); elseif(strcmpi(shapeid{1},'toeplitz')) arraydata=reshape(arraydata,flipud(datasize(:))'); ndata=toeplitz(arraydata(1:arraysize(1),2),arraydata(1:arraysize(2),1)); end if(opt.fullarrayshape && issparse(ndata)) ndata=cast(full(ndata),data(j).(N_('_ArrayType_'))); end elseif(isfield(data,N_('_ArraySize_'))) if(isstruct(data(j).(N_('_ArraySize_')))) data(j).(N_('_ArraySize_'))=jdatadecode(data(j).(N_('_ArraySize_')),opt); end if(iscpx) ndata=complex(ndata(1,:),ndata(2,:)); end if(format>1.9 && iscol==0) data(j).(N_('_ArraySize_'))=data(j).(N_('_ArraySize_'))(end:-1:1); end dims=data(j).(N_('_ArraySize_'))(:)'; if(iscell(dims)) dims=cell2mat(dims); end if(length(dims)==1) dims=[1 dims]; end ndata=reshape(ndata(:),dims(:)'); if(format>1.9 && iscol==0) ndata=permute(ndata,ndims(ndata):-1:1); end end newdata{j}=ndata; end if(len==1) newdata=newdata{1}; end end %% handle table data if(isfield(data,N_('_TableRecords_'))) newdata=cell(len,1); for j=1:len ndata=data(j).(N_('_TableRecords_')); if(iscell(ndata)) if(iscell(ndata{1})) rownum=length(ndata); colnum=length(ndata{1}); nd=cell(rownum, colnum); for i1=1:rownum for i2=1:colnum nd{i1,i2}=ndata{i1}{i2}; end end newdata{j}=cell2table(nd); else newdata{j}=cell2table(ndata); end else newdata{j}=array2table(ndata); end if(isfield(data(j),N_('_TableRows_'))&& ~isempty(data(j).(N_('_TableRows_')))) newdata{j}.Properties.RowNames=data(j).(N_('_TableRows_'))(:); end if(isfield(data(j),N_('_TableCols_')) && ~isempty(data(j).(N_('_TableCols_')))) newdata{j}.Properties.VariableNames=data(j).(N_('_TableCols_')); end end if(len==1) newdata=newdata{1}; end end %% handle map data if(isfield(data,N_('_MapData_'))) newdata=cell(len,1); for j=1:len key=cell(1,length(data(j).(N_('_MapData_')))); val=cell(size(key)); for k=1:length(data(j).(N_('_MapData_'))) key{k}=data(j).(N_('_MapData_')){k}{1}; val{k}=jdatadecode(data(j).(N_('_MapData_')){k}{2},opt); end ndata=containers.Map(key,val); newdata{j}=ndata; end if(len==1) newdata=newdata{1}; end end %% handle graph data if(isfield(data,N_('_GraphNodes_')) && exist('graph','file') && exist('digraph','file')) newdata=cell(len,1); isdirected=1; for j=1:len nodedata=data(j).(N_('_GraphNodes_')); if(isstruct(nodedata)) nodetable=struct2table(nodedata); elseif(isa(nodedata,'containers.Map')) nodetable=[keys(nodedata);values(nodedata)]; if(strcmp(nodedata.KeyType,'char')) nodetable=table(nodetable(1,:)',nodetable(2,:)','VariableNames',{'Name','Data'}); else nodetable=table(nodetable(2,:)','VariableNames',{'Data'}); end else nodetable=table; end if(isfield(data,N_('_GraphEdges_'))) edgedata=data(j).(N_('_GraphEdges_')); elseif(isfield(data,N_('_GraphEdges0_'))) edgedata=data(j).(N_('_GraphEdges0_')); isdirected=0; elseif(isfield(data,N_('_GraphMatrix_'))) edgedata=jdatadecode(data(j).(N_('_GraphMatrix_')),varargin{:}); end if(exist('edgedata','var')) if(iscell(edgedata)) endnodes=edgedata(:,1:2); endnodes=reshape([endnodes{:}],size(edgedata,1),2); weight=cell2mat(edgedata(:,3:end)); edgetable=table(endnodes,[weight.Weight]','VariableNames',{'EndNodes','Weight'}); if(isdirected) newdata{j}=digraph(edgetable,nodetable); else newdata{j}=graph(edgetable,nodetable); end elseif(ndims(edgedata)==2 && isstruct(nodetable)) newdata{j}=digraph(edgedata,fieldnames(nodetable)); end end end if(len==1) newdata=newdata{1}; end end %% handle bytestream and arbitrary matlab objects if(isfield(data,N_('_ByteStream_')) && isfield(data,N_('_DataInfo_'))==2) newdata=cell(len,1); for j=1:len if(isfield(data(j).(N_('_DataInfo_')),'MATLABObjectClass')) if(needbase64) newdata{j}=getArrayFromByteStream(base64decode(data(j).(N_('_ByteStream_')))); else newdata{j}=getArrayFromByteStream(data(j).(N_('_ByteStream_'))); end end end if(len==1) newdata=newdata{1}; end end %% subfunctions function escaped=N_(str) escaped=[prefix str]; end end octave-iso2mesh-1.9.6+ds/mwpath.m0000644001356000007640000000312013724766530015604 0ustar fangqadminfunction tempname=mwpath(fname) % % tempname=meshtemppath(fname) % % get full temp-file name by prepend working-directory and current session name % % author: Qianqian Fang (q.fang at neu.edu) % % input: % fname: input, a file name string % % output: % tempname: output, full file name located in the working directory % % if global variable ISO2MESH_TEMP is set in 'base', it will use it % as the working directory; otherwise, will use matlab function tempdir % to return a working directory. % % if global variable ISO2MESH_SESSION is set in 'base', it will be % prepended for each file name, otherwise, use supplied file name. % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % if (nargin < 1) || isempty(fname) fname = ''; end p=getvarfrom({'caller','base'},'ISO2MESH_TEMP'); session=getvarfrom({'caller','base'},'ISO2MESH_SESSION'); if(isempty(session)) session=''; end username=getenv('USER'); % for Linux/Unix/Mac OS if(isempty(username)) username=getenv('UserName'); % for windows end if(~isempty(username)) username=['iso2mesh-' username]; end tempname=[]; if(isempty(p)) if(isoctavemesh && tempdir=='\') tempname=['.' filesep session fname]; else tdir=tempdir; if(tdir(end)~=filesep) tdir=[tdir filesep]; end if(~isempty(username)) tdir=[tdir username filesep]; if(exist(tdir)==0) mkdir(tdir); end end if(nargin==0) tempname=tdir; else tempname=[tdir session fname]; end end else tempname=[p filesep session fname]; end octave-iso2mesh-1.9.6+ds/INDEX0000644001356000007640000000553013724766530014727 0ustar fangqadminiso2mesh >> Iso2Mesh Streamlined mesh generation - shortcuts v2m v2s s2m s2v m2v sms i2m Streamlined mesh generation vol2mesh vol2surf surf2mesh surf2vol mesh2vol img2mesh Iso2mesh main function backend binsurface cgalv2m cgals2m vol2restrictedtri surf2volz mesh2mask Iso2mesh primitive meshing functions meshabox meshasphere meshanellip meshunitsphere meshacylinder meshgrid5 meshgrid6 latticegrid extrudecurve meshcylinders Mesh decomposition and query finddisconnsurf surfedge volface extractloops meshconn meshcentroid nodevolume elemvolume neighborelem layersurf faceneighbors edgeneighbors maxsurf flatsegment orderloopedge mesheuler bbxflatsegment surfplane surfinterior surfpart surfseeds meshquality meshedge meshface surfacenorm nodesurfnorm uniqedges uniqfaces advancefront innersurf outersurf surfvolume insurface Mesh processing and reparing meshcheckrepair meshreorient removedupelem removedupnodes removeisolatednode removeisolatedsurf surfaceclean getintersecttri delendelem surfreorient Mesh registration - Metch Toolbox proj2mesh dist2surf regpt2surf affinemap metchgui metchgui_one Polyline handling slicesurf slicesurf3 polylinelen polylinesimplify polylineinterp closestnode Mesh resampling and optimization meshresample remeshsurf smoothsurf sortmesh mergemesh meshrefine mergesurf surfboolean fillsurf highordertet elemfacecenter barydualmesh meshinterp meshremap extrudesurf File I/O saveasc savedxf savestl savebinstl saveinr saveoff savesmf savesurfpoly savegts readgts savemsh savevrml readasc readinr readmedit readoff readsmf readtetgen deletemeshfile mcpath mwpath savemedit savejson loadjson saveubjson loadubjson loadmsgpack savemsgpack savebj loadbj savemphtxt savetetgenele savetetgennode saveabaqus savenirfast readnirfast readnifti readmptiff JData functions savejmesh loadjnifti savejnifti loadnifti savenifti jdataencode jdatadecode jload jsave decodevarname encodevarname jnifticreate nifticreate nii2jnii jnii2nii niicodemap niiformat savebnii savejnii Data compression zlibencode zlibdecode gzipencode gzipdecode lzmaencode lzmadecode lzipencode lzipdecode lz4encode lz4decode lz4hcencode lz4hcdecode base64decode base64encode Volumetric image pre-processing bwislands fillholes3d deislands2d deislands3d ndgaussian ndimfilter imedge3d internalpoint smoothbinvol thickenbinvol thinbinvol maskdist Mesh plotting plotmesh plotsurf plottetra plotedges qmeshcut Miscellaneous functions surfdiffuse volmap2mesh isoctavemesh getvarfrom raytrace linextriangle getplanefrom3pt getexeext fallbackexeext iso2meshver raysurf getoptkey rotatevec3d rotmat2vec varargin2struct jsonopt mergestruct orthdisk nestbracket2dim fast_match_bracket match_bracket memmapstream octave-iso2mesh-1.9.6+ds/meshunitsphere.m0000644001356000007640000000332413724766530017355 0ustar fangqadminfunction [node,face,elem]=meshunitsphere(tsize,maxvol) % % [node,face,elem]=meshunitsphere(tsize,maxvol) % % create the surface and/or volumetric mesh of a unit sphere % centered at [0 0 0] and radius 1 % % author: Qianqian Fang, % % input: % tsize: maximum size of the surface triangles (from 0 to 1) % maxvol: maximum volume of the tetrahedron; if one wants to return % elem without specifying maxvol, maxvol=tsize^3 % % output: % node: node coordinates, 3 columns for x, y and z respectively % face: integer array with dimensions of NB x 3, each row represents % a surface mesh face element % elem: integer array with dimensions of NE x 4, each row represents % a tetrahedron. If ignored, this function only produces the surface % % example: % [node,face]=meshunitsphere(0.05); % [node,face,elem]=meshunitsphere(0.05,0.01); % plotmesh(node,elem,'x>0'); axis equal; % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % dim=60; esize=tsize*dim; thresh=dim/2-1; [xi,yi,zi]=meshgrid(0:0.5:dim,0:0.5:dim,0:0.5:dim); dist=thresh-sqrt((xi-30).^2+(yi-30).^2+(zi-30).^2); dist(find(dist<0))=0; clear xi yi zi; % extract a level-set at v=thresh, being a sphere with R=thresh % the maximum element size of the surface triangles is tsize*dim [node,face]=vol2restrictedtri(dist,1,[dim dim dim],dim*dim*dim,30,esize,esize,40000); node=(node-0.5)*0.5; [node,face]=removeisolatednode(node,face); node=(node-30)/28; r0=sqrt(sum((node.*node)')); node=node.*repmat(1./r0(:),1,3); if(nargout==3) if(nargin==1) maxvol=tsize*tsize*tsize; end [node,elem,face]=surf2mesh(node,face,[-1 -1 -1]*1.1,[1 1 1]*1.1,1,maxvol,[],[]); elem=elem(:,1:4); end face=face(:,1:3); octave-iso2mesh-1.9.6+ds/mesh2mask.m0000644001356000007640000001062213724766530016203 0ustar fangqadminfunction [mask, weight]=mesh2mask(node,face,xi,yi,hf) % % [mask weight]=mesh2mask(node,face,Nxy) % or % [mask weight]=mesh2mask(node,face,[Nx,Ny]) % or % [mask weight]=mesh2mask(node,face,xi,yi,hf) % % fast rasterization of a 2D mesh to an image with triangle index labels % % author: Qianqian Fang % date for initial version: July 18,2013 % % input: % node: node coordinates, dimension N by 2 or N by 3 array % face: a triangle surface, N by 3 or N by 4 array % Nx,Ny,Nxy: output image in x/y dimensions, or both % xi,yi: linear vectors for the output pixel center positions in x/y % hf: (optional) the handle of a pre-created figure window, for faster % rendering % % output: % mask: a 2D image, the value of each pixel is the index of the % enclosing triangle, if the pixel is outside of the mesh, NaN % weight: (optional) a 3 by Nx by Ny array, where Nx/Ny are the dimensions for % the mask % % note: This function only works in MATLAB when the DISPLAY is not % disabled. The maximum size of the mask output is limited by the % screen size. % % example: % % [no,fc]=meshgrid6(0:5,0:5); % [mask weight]=mesh2mask(no,fc,-1:0.1:5,0:0.1:5); % imagesc(mask); % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % if(nargin==3 && length(xi)==1 && xi>0) mn=min(node); mx=max(node); df=(mx(1:2)-mn(1:2))/xi; elseif(nargin==3 && length(xi)==2 && all(xi>0)) mn=min(node); mx=max(node); df=(mx(1:2)-mn(1:2))./xi; elseif(nargin==4 || nargin==5) mx=[max(xi) max(yi)]; mn=[min(xi) min(yi)]; df=[min(diff(xi(:))) min(diff(yi(:)))]; else error('you must give at least xi input'); end if(size(node,2)<=1 || size(face,2)<=2) error('node must have 2 or 3 columns; face can not have less than 2 columns'); end if(nargin<5) hf=figure('visible','on'); else clf(hf); end patch('Vertices',node,'Faces',face,'linestyle','none','FaceColor','flat',... 'FaceVertexCData',(1:size(face,1))','CDataMapping', 'scaled'); set(gca, 'Position', [0 0 1 1]); cm=jet(size(face,1)); colormap(cm); axis off set(gca,'xlim',[mn(1) mx(1)]); set(gca,'ylim',[mn(2) mx(2)]); set(gca,'clim',[1 size(face,1)]); output_size = round((mx(1:2)-mn(1:2))./df);%Size in pixels if(isoctavemesh || isempty(getenv('DISPLAY'))) resolution = 300; %Resolution in DPI set(gcf,'PaperPositionMode','manual') set(gcf,'paperunits','inches','paperposition',[0 0 output_size/resolution]); deletemeshfile(mwpath('post_mesh2mask.png')); print(mwpath('post_mesh2mask.png'),'-dpng',['-r' num2str(resolution)]); mask=imread(mwpath('post_mesh2mask.png')); else pos=get(hf,'position'); pos(3:4)=max(pos(3:4),output_size+20); set(hf,'position',pos); set(gca, 'Units','pixels','position',[1, 1, output_size(1), output_size(2)]); mask=getframe(gca); if(any(size(mask.cdata)<[output_size([2 1]) 3])) error('the requested rasterization grid is larger than the screen resolution'); end mask=mask.cdata((end-output_size(2)+1):end,1:output_size(1),:); end if(nargin<5) close(hf); end mask=int32(reshape(mask,[size(mask,1)*size(mask,2) size(mask,3)])); [isfound,locb]=ismember(mask,floor(cm*255),'rows'); locb(isfound==0)=nan; mask=rot90(reshape(locb,output_size([2 1]))'); if(nargout>=2) xi=mn(1)+df(1)/2:df(1):mx(1); yi=mn(2)+df(2)/2:df(2):mx(2); weight=barycentricgrid(node,face,xi,yi,mask); if(size(face,2)>=4) badidx=find(weight(1,:,:)<0 | weight(2,:,:)<0 | weight(3,:,:)<0); badidx=badidx(face(mask(badidx),3)~=face(mask(badidx),4)); weight2=barycentricgrid(node,face(:,[1 3 4]),xi,yi,mask); weight(:,badidx)=0; weight([1 3 4],badidx)=weight2(:,badidx); end end function weight=barycentricgrid(node,face,xi,yi,mask) [xx,yy]=meshgrid(xi,yi); idx=find(~isnan(mask)); eid=mask(idx); t1=node(face(:,1),:); t2=node(face(:,2),:); t3=node(face(:,3),:); tt=(t2(:,2)-t3(:,2)).*(t1(:,1)-t3(:,1))+(t3(:,1)-t2(:,1)).*(t1(:,2)-t3(:,2)); w(:,1)=(t2(eid,2)-t3(eid,2)).*(xx(idx)-t3(eid,1))+(t3(eid,1)-t2(eid,1)).*(yy(idx)-t3(eid,2)); w(:,2)=(t3(eid,2)-t1(eid,2)).*(xx(idx)-t3(eid,1))+(t1(eid,1)-t3(eid,1)).*(yy(idx)-t3(eid,2)); w(:,1)=w(:,1)./tt(eid); w(:,2)=w(:,2)./tt(eid); w(:,3)=1-w(:,1)-w(:,2); weight=zeros(3,size(mask,1),size(mask,2)); ww=zeros(size(mask)); ww(idx)=w(:,1); weight(1,:,:)=ww; ww(idx)=w(:,2); weight(2,:,:)=ww; ww(idx)=w(:,3); weight(3,:,:)=ww; octave-iso2mesh-1.9.6+ds/nii2jnii.m0000644001356000007640000003237313724766530016033 0ustar fangqadminfunction nii=nii2jnii(filename, format, varargin) % % nii=nii2jnii(niifile, format, options) % or % nii2jnii(niifile, jniifile, options) % nii=nii2jnii(niifile) % % A fast and portable NIFTI-1/2 and Analyze7.5 file parser and converter % to the text and binary JNIfTI formats defined in JNIfTI specification: % https://github.com/fangq/jnifti % % This function is compatible with both MATLAB and GNU Octave. % It accepts .nii, .nii.gz, .hdr/.img and .hdr.gz/.img.gz input files % % author: Qianqian Fang (q.fang neu.edu) % % input: % fname: the file name to the .nii, .nii.gz, .hdr/.img or .hdr.gz/.img.gz file % format:'nii' for reading the NIfTI-1/2/Analyze files; % 'jnii' to convert the nii data into an in-memory JNIfTI structure. % 'niiheader' return only the nii header without the image data % % if format is not listed above and nii2jnii is called without % an output, format must be a string specifying the output JNIfTI % file name - *.jnii for text-based JNIfTI, or *.bnii for the % binary version % options: (optional) if saving to a .bnii file, please see the options for % saveubjson.m (part of JSONLab); if saving to .jnii, please see the % supported options for savejson.m (part of JSONLab). % % output: % if the output is a JNIfTI data structure, it has the following subfield: % nii.NIFTIHeader - a structure containing the 1-to-1 mapped NIFTI-1/2 header % nii.NIFTIData - the main image data array % nii.NIFTIExtension - a cell array contaiing the extension data buffers % % when calling as nii=nii2jnii(file,'nii'), the output is a NIFTI object containing % nii.img: the data volume read from the nii file % nii.datatype: the data type of the voxel, in matlab data type string % nii.datalen: data count per voxel - for example RGB data has 3x % uint8 per voxel, so datatype='uint8', datalen=3 % nii.voxelbyte: total number of bytes per voxel: for RGB data, % voxelbyte=3; also voxelbyte=header.bitpix/8 % nii.hdr: file header info, a structure has the full nii header % key subfileds include % % sizeof_hdr: must be 348 (for NIFTI-1) or 540 (for NIFTI-2) % dim: short array, dim(2: dim(1)+1) defines the array size % datatype: the type of data stored in each voxel % bitpix: total bits per voxel % magic: must be 'ni1\0' or 'n+1\0' % % For the detailed nii header, please see % https://nifti.nimh.nih.gov/pub/dist/src/niftilib/nifti1.h % % dependency: % No external dependency if reading .nii/.hdr/.img files; % % To load gzipped input files (.nii.gz/.hdr.gz/.img.gz), one must % install the ZMat Toolbox (http://github.com/fangq/zmat) and % JSONLab Toolbox (http://github.com/fangq/jsonlab); % % To save files into the text/binary JNIfTI formatted files, one % need to install JSONLab (http://github.com/fangq/jsonlab). % % this file was initially developed for the MCX project: https://github.com/fangq/mcx/blob/master/utils/mcxloadnii.m % % this file is part of JNIfTI specification: https://github.com/fangq/jnifti % % License: Apache 2.0, see https://github.com/fangq/jnifti for details % hdrfile=filename; isnii=-1; if(regexp(filename,'(\.[Hh][Dd][Rr](\.[Gg][Zz])*$|\.[Ii][Mm][Gg](\.[Gg][Zz])*$)')) isnii=0; elseif(regexp(filename,'\.[Nn][Ii][Ii](\.[Gg][Zz])*$')) isnii=1; end if(isnii<0) error('file must be a NIfTI (.nii/.nii.gz) or Analyze 7.5 (.hdr/.img,.hdr.gz/.img.gz) data file'); end if(regexp(filename,'\.[Ii][Mm][Gg](\.[Gg][Zz])*$')) hdrfile=regexprep(filename,'\.[Ii][Mm][Gg](\.[Gg][Zz])*$','.hdr$1'); end niftiheader=niiformat('nifti1'); if(~isempty(regexp(hdrfile,'\.[Gg][Zz]$', 'once')) || (exist('OCTAVE_VERSION','builtin')~=0)) finput=fopen(hdrfile,'rb'); input=fread(finput,inf,'uint8=>uint8'); fclose(finput); if(regexp(hdrfile,'\.[Gg][Zz]$')) if(~exist('gzipdecode','file')) error('To process zipped files, you must install gzipdecode.m from the JSONLab toolbox: http://github.com/fangq/jsonlab'); end gzdata=gzipdecode(input); else gzdata=input; end clear input; nii.hdr=memmapstream(gzdata,niftiheader); else fileinfo=dir(hdrfile); if(isempty(fileinfo)) error('specified file does not exist'); end header = memmapfile(hdrfile, ... 'Offset', 0, ... 'Writable', false, ... 'Format', niftiheader(1:end-(fileinfo.bytes<352),:)); nii.hdr=header.Data(1); end [os,maxelem,dataendian]=computer; if(nii.hdr.sizeof_hdr~=348 && nii.hdr.sizeof_hdr~=540) nii.hdr.sizeof_hdr=swapbytes(nii.hdr.sizeof_hdr); end if(nii.hdr.sizeof_hdr==540) % NIFTI-2 format niftiheader=niiformat('nifti2'); if(exist('gzdata','var')) nii.hdr=memmapstream(gzdata,niftiheader); else header = memmapfile(hdrfile, ... 'Offset', 0, ... 'Writable', false, ... 'Format', niftiheader(1:end-(fileinfo.bytes<352),:)); nii.hdr=header.Data(1); end end if(nii.hdr.dim(1)>7) names=fieldnames(nii.hdr); for i=1:length(names) nii.hdr.(names{i})=swapbytes(nii.hdr.(names{i})); end if(nii.hdr.sizeof_hdr>540) nii.hdr.sizeof_hdr=swapbytes(nii.hdr.sizeof_hdr); end if(dataendian=='B') dataendian='little'; else dataendian='big'; end end type2byte=[ 0 0 % unknown % 1 0 % binary (1 bit/voxel) % 2 1 % unsigned char (8 bits/voxel) % 4 2 % signed short (16 bits/voxel) % 8 4 % signed int (32 bits/voxel) % 16 4 % float (32 bits/voxel) % 32 8 % complex (64 bits/voxel) % 64 8 % double (64 bits/voxel) % 128 3 % RGB triple (24 bits/voxel) % 255 0 % not very useful (?) % 256 1 % signed char (8 bits) % 512 2 % unsigned short (16 bits) % 768 4 % unsigned int (32 bits) % 1024 8 % long long (64 bits) % 1280 8 % unsigned long long (64 bits) % 1536 16 % long double (128 bits) % 1792 16 % double pair (128 bits) % 2048 32 % long double pair (256 bits) % 2304 4 % 4 byte RGBA (32 bits/voxel) % ]; type2str={ 'uint8' 0 % unknown % 'uint8' 0 % binary (1 bit/voxel) % 'uint8' 1 % unsigned char (8 bits/voxel) % 'uint16' 1 % signed short (16 bits/voxel) % 'int32' 1 % signed int (32 bits/voxel) % 'single' 1 % float (32 bits/voxel) % 'single' 2 % complex (64 bits/voxel) % 'double' 1 % double (64 bits/voxel) % 'uint8' 3 % RGB triple (24 bits/voxel) % 'uint8' 0 % not very useful (?) % 'int8' 1 % signed char (8 bits) % 'uint16' 1 % unsigned short (16 bits) % 'uint32' 1 % unsigned int (32 bits) % 'int64' 1 % long long (64 bits) % 'uint64' 1 % unsigned long long (64 bits) % 'uint8' 16 % long double (128 bits) % 'uint8' 16 % double pair (128 bits) % 'uint8' 32 % long double pair (256 bits) % 'uint8' 4 % 4 byte RGBA (32 bits/voxel) % }; typeidx=find(type2byte(:,1)==nii.hdr.datatype); nii.datatype=type2str{typeidx,1}; nii.datalen=type2str{typeidx,2}; nii.voxelbyte=type2byte(typeidx,2); if(type2byte(typeidx,2)==0) nii.img=[]; return; end if(type2str{typeidx,2}>1) nii.hdr.dim=[nii.hdr.dim(1)+1 uint16(nii.datalen) nii.hdr.dim(2:end)]; end if(nargin>1 && strcmp(format,'niiheader')) return; end if(regexp(filename,'\.[Hh][Dd][Rr](\.[Gg][Zz])*$')) filename=regexprep(filename,'\.[Hh][Dd][Rr](\.[Gg][Zz])*$','.img$1'); end imgbytenum=prod(nii.hdr.dim(2:nii.hdr.dim(1)+1))*nii.voxelbyte; if(isnii==0 && ~isempty(regexp(filename,'\.[Gg][Zz]$', 'once'))) finput=fopen(filename,'rb'); input=fread(finput,inf,'uint8=>uint8'); fclose(finput); gzdata=gzipdecode(input); nii.img=typecast(gzdata(1:imgbytenum),nii.datatype); else if(~exist('gzdata','var')) fid=fopen(filename,'rb'); if(isnii) fseek(fid,nii.hdr.vox_offset,'bof'); end nii.img=fread(fid,imgbytenum,[nii.datatype '=>' nii.datatype]); fclose(fid); else nii.img=typecast(gzdata(nii.hdr.vox_offset+1:nii.hdr.vox_offset+imgbytenum),nii.datatype); end end nii.img=reshape(nii.img,nii.hdr.dim(2:nii.hdr.dim(1)+1)); if(nargin>1 && strcmp(format,'nii')) return; end nii0=nii; nii=struct(); nii.NIFTIHeader.NIIHeaderSize= nii0.hdr.sizeof_hdr; if(isfield(nii0.hdr,'data_type')) nii.NIFTIHeader.A75DataTypeName=deblank(char(nii0.hdr.data_type)); nii.NIFTIHeader.A75DBName= deblank(char(nii0.hdr.db_name)); nii.NIFTIHeader.A75Extends= nii0.hdr.extents; nii.NIFTIHeader.A75SessionError=nii0.hdr.session_error; nii.NIFTIHeader.A75Regular= nii0.hdr.regular; end nii.NIFTIHeader.DimInfo.Freq= bitand(nii0.hdr.dim_info,7); nii.NIFTIHeader.DimInfo.Phase= bitand(bitshift(nii0.hdr.dim_info,-3),7); nii.NIFTIHeader.DimInfo.Slice= bitand(bitshift(nii0.hdr.dim_info,-6),7); nii.NIFTIHeader.Dim= nii0.hdr.dim(2:2+nii0.hdr.dim(1)-1); nii.NIFTIHeader.Param1= nii0.hdr.intent_p1; nii.NIFTIHeader.Param2= nii0.hdr.intent_p2; nii.NIFTIHeader.Param3= nii0.hdr.intent_p3; nii.NIFTIHeader.Intent= niicodemap('intent',nii0.hdr.intent_code); nii.NIFTIHeader.DataType= niicodemap('datatype',nii0.hdr.datatype); nii.NIFTIHeader.BitDepth= nii0.hdr.bitpix; nii.NIFTIHeader.FirstSliceID= nii0.hdr.slice_start; nii.NIFTIHeader.VoxelSize= nii0.hdr.pixdim(2:2+nii0.hdr.dim(1)-1); nii.NIFTIHeader.Orientation= struct('x','r','y','a','z','s'); if(nii0.hdr.pixdim(1)<0) nii.NIFTIHeader.Orientation= struct('x','l','y','a','z','s'); end nii.NIFTIHeader.NIIByteOffset= nii0.hdr.vox_offset; nii.NIFTIHeader.ScaleSlope= nii0.hdr.scl_slope; nii.NIFTIHeader.ScaleOffset= nii0.hdr.scl_inter; nii.NIFTIHeader.LastSliceID= nii0.hdr.slice_end; nii.NIFTIHeader.SliceType= niicodemap('slicetype',nii0.hdr.slice_code); nii.NIFTIHeader.Unit.L= niicodemap('unit',bitand(nii0.hdr.xyzt_units, 7)); nii.NIFTIHeader.Unit.T= niicodemap('unit',bitand(nii0.hdr.xyzt_units, 56)); nii.NIFTIHeader.MaxIntensity= nii0.hdr.cal_max; nii.NIFTIHeader.MinIntensity= nii0.hdr.cal_min; nii.NIFTIHeader.SliceTime= nii0.hdr.slice_duration; nii.NIFTIHeader.TimeOffset= nii0.hdr.toffset; if(isfield(nii0.hdr,'glmax')) nii.NIFTIHeader.A75GlobalMax= nii0.hdr.glmax; nii.NIFTIHeader.A75GlobalMin= nii0.hdr.glmin; end nii.NIFTIHeader.Description= deblank(char(nii0.hdr.descrip)); nii.NIFTIHeader.AuxFile= deblank(char(nii0.hdr.aux_file)); nii.NIFTIHeader.QForm= nii0.hdr.qform_code; nii.NIFTIHeader.SForm= nii0.hdr.sform_code; nii.NIFTIHeader.Quatern.b= nii0.hdr.quatern_b; nii.NIFTIHeader.Quatern.c= nii0.hdr.quatern_c; nii.NIFTIHeader.Quatern.d= nii0.hdr.quatern_d; nii.NIFTIHeader.QuaternOffset.x=nii0.hdr.qoffset_x; nii.NIFTIHeader.QuaternOffset.y=nii0.hdr.qoffset_y; nii.NIFTIHeader.QuaternOffset.z=nii0.hdr.qoffset_z; nii.NIFTIHeader.Affine(1,:)= nii0.hdr.srow_x; nii.NIFTIHeader.Affine(2,:)= nii0.hdr.srow_y; nii.NIFTIHeader.Affine(3,:)= nii0.hdr.srow_z; nii.NIFTIHeader.Name= deblank(char(nii0.hdr.intent_name)); nii.NIFTIHeader.NIIFormat= deblank(char(nii0.hdr.magic)); if(isfield(nii0.hdr,'extension')) nii.NIFTIHeader.NIIExtender= nii0.hdr.extension; end nii.NIFTIHeader.NIIQfac_= nii0.hdr.pixdim(1); nii.NIFTIHeader.NIIEndian_= dataendian; if(isfield(nii0.hdr,'reserved')) nii.NIFTIHeader.NIIUnused_= nii0.hdr.reserved; end nii.NIFTIData=nii0.img; if(isfield(nii0.hdr,'extension') && nii0.hdr.extension(1)>0) fid=fopen(filename,'rb'); fseek(fid,nii0.hdr.sizeof_hdr+4,'bof'); nii.NIFTIExtension=cell(1); count=1; while(ftell(fid)int32'); nii.NIFTIExtension{count}.Type=fread(fid,1,'int32=>int32'); if(strcmp(dataendian,'big')) nii.NIFTIExtension{count}.Size=swapbytes(nii.NIFTIExtension{count}.Size); nii.NIFTIExtension{count}.Type=swapbytes(nii.NIFTIExtension{count}.Type); end nii.NIFTIExtension{count}.x0x5F_ByteStream_=fread(fid,nii.NIFTIExtension{count}.Size-8,'uint8=>uint8'); count=count+1; end fclose(fid); end if(nargout==0 && strcmp(format,'nii')==0 && strcmp(format,'jnii')==0) if(~exist('savejson','file')) error('you must first install JSONLab from http://github.com/fangq/jsonlab/'); end if(regexp(format,'\.jnii$')) savejson('',nii,'FileName',format,varargin{:}); elseif(regexp(format,'\.bnii$')) saveubjson('',nii,'FileName',format,varargin{:}); else error('file suffix must be .jnii for text JNIfTI or .bnii for binary JNIfTI'); end end octave-iso2mesh-1.9.6+ds/s2v.m0000644001356000007640000000275413724766530015032 0ustar fangqadminfunction varargout=s2v(node,face,div,varargin) % % [img,v2smap]=s2v(node,face,div) % % shortcut for surf2vol, coverting a surface to a volumetric image % % author: Qianqian Fang (q.fang at neu.edu) % % input: % node: node list of the triangular surface, 3 columns for x/y/z % face: triangle node indices, each row is a triangle % div: division number along the shortest edge of the mesh (resolution) % if not given, div=50 % % output: % img: a volumetric binary image at position of ndgrid(xi,yi,zi) % v2smap (optional): a 4x4 matrix denoting the Affine transformation to map % the voxel coordinates back to the mesh space. One can use the % v2smap to convert a mesh generated from the rasterized volume % into the original input mesh space (work coordinate system). For example: % % [img,map]=s2v(node,face); % [no,el]=v2s(img,0.5,5); % newno=map*[no ones(length(no),1)]'; % newno=newno(1:3,:)'; % newno and el now go back to the world coordinates % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % p0=min(node); p1=max(node); if(size(node,1)==0 || size(face,1)==0) error('node and face can not be empty'); end if(nargin<3) div=50; end if(div==0) error('div can not be 0'); end dx=min(p1-p0)/div; if(dx<=eps) error('the input mesh is in a plane'); end [varargout{1:2}]=surf2vol(node,face,p0(1)-dx:dx:p1(1)+dx,p0(2)-dx:dx:p1(2)+dx,p0(3)-dx:dx:p1(3)+dx,varargin{:}); octave-iso2mesh-1.9.6+ds/meshacylinder.m0000644001356000007640000000473613724766530017151 0ustar fangqadminfunction [node,face,elem]=meshacylinder(c0,c1,r,tsize,maxvol,ndiv) % % [node,face]=meshacylinder(c0,c1,r,tsize,maxvol,ndiv) % or % [node,face,elem]=meshacylinder(c0,c1,r,tsize,maxvol,ndiv) % [nplc,fplc]=meshacylinder(c0,c1,r,0,0,ndiv); % % create the surface and (optionally) tetrahedral mesh of a 3D cylinder % % author: Qianqian Fang, % % input: % c0, c1: cylinder axis end points % r: radius of the cylinder; if r contains two elements, it outputs % a cone trunk, with each r value specifying the radius on each end % tsize: maximum surface triangle size on the sphere % maxvol: maximu volume of the tetrahedral elements % % if both tsize and maxvol is set to 0, this function sill return % the piecewise-linear-complex (PLC) in the form of the nodes (as node) % and a cell array (as face). % % ndiv: approximate the cylinder surface into ndiv flat pieces, if % ignored, ndiv is set to 20 % % output: % node: node coordinates, 3 columns for x, y and z respectively % face: integer array with dimensions of NB x 3, each row represents % a surface mesh triangle % elem: (optional) integer array with dimensions of NE x 4, each row % represents a tetrahedron % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % if(nargin<3) error('you must at least provide c0, c1, and r'); end if(length(r)==1) r=[r,r]; end if(any(r<=0) || all(c0==c1)) error('invalid cylinder parameters'); end c0=c0(:); c1=c1(:); len=sqrt(sum((c0-c1).*(c0-c1))); % define the axial vector v0 and a perpendicular vector t v0=c1-c0; if(nargin<4) tsize=min([r,len])/10; end if(nargin<5) maxvol=tsize^3/5; end % calculate the cylinder end face nodes if(nargin<6) ndiv=20; end dt=2*pi/ndiv; theta=dt:dt:2*pi; cx=r(:)*cos(theta); cy=r(:)*sin(theta); cx=cx'; cy=cy'; p0=[cx(:,1) cy(:,1) zeros(ndiv,1)]; p1=[cx(:,2) cy(:,2) len*ones(ndiv,1)]; pp=[p0;p1]; no=rotatevec3d(pp,v0)+repmat(c0',size(pp,1),1); count=1; for i=1:ndiv-1 fc{count}={[i i+ndiv i+ndiv+1 i+1],1}; count=count+1; end i=ndiv; fc{count}={[i i+ndiv 1+ndiv 1],1}; count=count+1; fc{count}={1:ndiv,2};count=count+1; % bottom inner circle fc{count}={1+ndiv:2*ndiv,3};count=count+1; % top inner circle if(nargout==2 && tsize==0.0 && maxvol==0.0) node=no; face=fc; return; end if(nargin==3) tsize=len/10; end if(nargin<5) maxvol=tsize*tsize*tsize; end [node,elem,face]=surf2mesh(no,fc,min(no),max(no),1,maxvol,[0 0 1],[],0); octave-iso2mesh-1.9.6+ds/extrudecurve.m0000644001356000007640000000724013724766530017040 0ustar fangqadminfunction [node,face,yz0,yz1]=extrudecurve(xy, yz, Nx, Nz, Nextrap, spacing, anchor, dotopbottom) % % [node,face,yz0,yz1]=extrudecurve(xy, yz, Nx, Nz, Nextrap, spacing, anchor) % % create a triangular surface mesh by swining a 2D spline along another 2D % spline curve % % author: Qianqian Fang, % % input: % xy: a 2D spline path, along which the surface is extruded, defined % on the x-y plane % yz: a 2D spline which will move along the path to form a surface, % defined on the y-z plane % Nx: the count of sample points along the extrusion path (xy), if % ignored, it is 40 % Nz: the count of sample points along the curve to be extruded (yz), % if ignored, it is 40 % Nextrap: number of points to extrapolate outside of the xy/yz % curves, 0 if ignored % spacing: define a spacing scaling factor for spline interpolations, % 1 if ignored % anchor: the 3D point in the extruded curve plane (yz) that is aligned % at the nodes long the extrusion path. this point does not have % to be located on the yz curve; orig = [ox oy oz], if ignored, it % is set as the point on the interpolated yz with the largested % y-value % dotopbottom: a flag, if set to 1, tessellated top and bottom faces % will be added. default is 0. % % output: % node: 3D node coordinates for the generated surface mesh % face: triangular face patches of the generated surface mesh, each % row represents a triangle denoted by the indices of the 3 nodes % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % if(nargin<3) Nx=30; end if(nargin<4) Nz=30; end if(nargin<5) Nextrap=0; end if(nargin<6) spacing=1; end xrange=max(xy(:,1))-min(xy(:,1)); dx=xrange/Nx; xi=min(xy(:,1))-Nextrap*dx:spacing*dx:max(xy(:,1))+Nextrap*dx; pxy = spline(xy(:,1), xy(:,2)); yi = ppval(pxy,xi); dy = gradient(yi); dx = gradient(xi); nn=sqrt(dx.*dx + dy.*dy); normaldir=[dx(:)./nn(:) dy(:)./nn(:)]; zrange=max(yz(:,2))-min(yz(:,2)); dz=zrange/Nz; zi=min(yz(:,2))-Nextrap*dz:spacing*dz:max(yz(:,2))+Nextrap*dz; pyz = spline(yz(:,2), yz(:,1)); yyi = ppval(pyz,zi); if(~exist('anchor','var') || isempty(anchor)) [ymax, loc]=max(yyi); anchor=[0 yyi(loc) zi(loc)]; end node=zeros(length(zi)*length(xi),3); face=zeros(2*(length(zi)-1)*(length(xi)-1),3); xyz=[yyi(:) yyi(:) zi(:)]; xyz(:,1)=0; for i=1:length(xi) rot2d=[normaldir(i,1) -normaldir(i,2); normaldir(i,2) normaldir(i,1)]; offset=[xi(i) yi(i) anchor(2)]; newyz=[((rot2d*(xyz(:,1:2)-repmat(anchor(1:2),size(xyz,1),1))' + repmat(offset(:,1:2),length(zi),1)'))' , xyz(:,end)]; node((i-1)*length(zi)+1:i*length(zi),:)=newyz; if(i>1) face((i-2)*2*(length(zi)-1)+1:(i-1)*2*(length(zi)-1),:)= ... [ [1:length(zi)-1 ; (1-length(zi):-1) ; 2:length(zi)]+(i-1)*length(zi) ... [ (1-length(zi):-1); (2-length(zi):0) ; 2:length(zi)]+(i-1)*length(zi) ]'; end if(i==Nextrap+1) yz0=newyz(Nextrap+1:end-Nextrap,:); end if(i==length(xi)-Nextrap) yz1=newyz(Nextrap+1:end-Nextrap,:); end end % add two flat polygons on the top and bottom of the contours % to ensure the enclosed surface is not truncated by meshfix if(nargin>=8 && dotopbottom==1) nump = length(xi); C = [(1:(nump-1))' (2:nump)'; nump 1]; dt = delaunayTriangulation(xi(:), yi(:), C); io = dt.isInterior(); endface=dt(io,:); endface=(endface-1)*size(newyz,1)+1; % append the top/bottom faces to the extruded mesh face=[face; endface; endface+size(newyz,1)-1]; end [node,face]=meshcheckrepair(node,face,'dup');octave-iso2mesh-1.9.6+ds/meshface.m0000644001356000007640000000221613724766530016064 0ustar fangqadminfunction faces=meshface(elem,varargin) % % faces=meshface(elem,opt) % % return all faces in a surface or volumetric mesh % % author: Qianqian Fang, % date: 2011/02/26 % % input: % elem: element table of a mesh (support N-d space element) % opt: optional input, giving the additional options. If opt % is a struct, it can have the following field: % opt.nodeorder: if 1, assuming the elem node indices is in CCW % orientation; 0 use nchoosek() output to order faces % you can replace opt by a series of ('param', value) pairs. % % output: % face: face list; each row is an face, specified by the starting and % ending node indices, the total face number is % size(elem,1) x nchoosek(size(elem,2),2). All faces are ordered % by looping through each element first. % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % dim=size(elem); faceid=nchoosek(1:dim(2),3); len=size(faceid,1); faces=zeros(dim(1)*len,3); for i=0:len-1 faces((i*dim(1)+1):((i+1)*dim(1)),:)=[elem(:,faceid(i+1,1)) elem(:,faceid(i+1,2)) elem(:,faceid(i+1,3)) ]; end octave-iso2mesh-1.9.6+ds/deletemeshfile.m0000644001356000007640000000170013724766530017265 0ustar fangqadminfunction flag=deletemeshfile(fname) % % flag=deletemeshfile(fname) % % delete a given work mesh file under the working directory % % author: Qianqian Fang, % % input: % fname: specified file name (without path) % % output: % flag: not used % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % try if(~isempty(dir(fname))) delete(fname); end catch error(['You do not have permission to delete temporary files. If you are working in a multi-user ',... 'environment, such as Unix/Linux and there are other users using iso2mesh, ',... 'you may need to define ISO2MESH_SESSION=''yourstring'' to make your output ',... 'files different from others; if you do not have permission to ',mwpath(''),... ' as the temporary directory, you have to define ISO2MESH_TEMP=''/path/you/have/write/permission'' ',... 'in matlab/octave base workspace.']); end octave-iso2mesh-1.9.6+ds/savejnifti.m0000644001356000007640000000410013724766530016445 0ustar fangqadminfunction savejnifti(jnii, filename, varargin) % % savejnifti(jnii, outputfile) % or % savejnifti(jnii, outputfile, 'Param1',value1, 'Param2',value2,...) % % Save an in-memory JNIfTI structure into a JNIfTI file with format % defined in JNIfTI specification: https://github.com/fangq/jnifti % % author: Qianqian Fang (q.fang neu.edu) % % input: % jnii: a structure (array) or cell (array). The data structure can % be completely generic or auxilary data without any JNIfTI % constructs. However, if a JNIfTI object is included, it shall % contain the below subfields (can appear within any depth of the % structure) % jnii.NIFTIHeader - a structure containing the 1-to-1 mapped NIFTI-1/2 header % jnii.NIFTIData - the main image data array % jnii.NIFTIExtension - a cell array contaiing the extension data buffers % outputfile: the output file name to the JNIfTI file % *.bnii for binary JNIfTI file % *.jnii for text JNIfTI file % options: (optional) if saving to a .bnii file, please see the options for % saveubjson.m (part of JSONLab); if saving to .jnii, please see the % supported options for savejson.m (part of JSONLab). % % example: % jnii=jnifticreate(uint8(magic(10)),'Name','10x10 magic matrix'); % savejnifti(jnii, 'magic10.jnii') % savejnifti(jnii, 'magic10_debug.bnii','Debug',1) % % this file is part of JNIfTI specification: https://github.com/fangq/jnifti % % License: Apache 2.0, see https://github.com/fangq/jnifti for details % if(nargin<2) error('you must provide data and output file name'); end if(~exist('savejson','file')) error('you must first install JSONLab from http://github.com/fangq/jsonlab/'); end if(regexp(filename,'\.jnii$')) savejnii(jnii,filename,varargin{:}); elseif(regexp(filename,'\.bnii$')) savebnii(jnii,filename,varargin{:}); else error('file suffix must be .jnii for text JNIfTI or .bnii for binary JNIfTI'); end octave-iso2mesh-1.9.6+ds/readgts.m0000644001356000007640000000177613724766530015754 0ustar fangqadminfunction [node,elem,edges,edgemap]=readgts(fname) % % [node,elem,edges,edgemap]=readgts(fname) % % read GNU Triangulated Surface files (GTS) % % author: Qianqian Fang, % date: 2008/03/28 % % input: % fname: name of the OFF data file % % output: % node: node coordinates of the mesh % elem: list of elements of the surface mesh % edges: the edge list section in the GTS file (optional) % edgemap: the face section (in terms of edge indices) in the GTS file % (optional) % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % node=[]; elem=[]; fid=fopen(fname,'rt'); line=fgetl(fid); dim=sscanf(line,'%d',3); node =fscanf(fid,'%f',[3,dim(1)])'; edges =fscanf(fid,'%d',[2,dim(2)])'; edgemap=fscanf(fid,'%d',[3,dim(3)])'; fclose(fid); edget=edges'; len=size(edgemap,1); elem=reshape(edget(:,edgemap'),6,len)'; try for i=1:len elem(i,1:3)=unique(elem(i,:)); end catch error(sprint('invalid GTS face, id=%d\n',i)); end elem=elem(:,1:3); octave-iso2mesh-1.9.6+ds/decodevarname.m0000644001356000007640000000456013724766530017112 0ustar fangqadminfunction newname = decodevarname(name,varargin) % % newname = decodevarname(name) % % Decode a hex-encoded variable name (from encodevarname) and restore % its original form % % This function is sensitive to the default charset % settings in MATLAB, please call feature('DefaultCharacterSet','utf8') % to set the encoding to UTF-8 before calling this function. % % author: Qianqian Fang (q.fang neu.edu) % % input: % name: a string output from encodevarname, which converts the leading non-ascii % letter into "x0xHH_" and non-ascii letters into "_0xHH_" % format, where hex key HH stores the ascii (or Unicode) value % of the character. % % output: % newname: the restored original string % % example: % decodevarname('x0x5F_a') % returns _a % decodevarname('a_') % returns a_ as it is a valid variable name % decodevarname('x0xE58F98__0xE9878F_') % returns '变量' % % this file is part of EasyH5 Toolbox: https://github.com/fangq/easyh5 % % License: GPLv3 or 3-clause BSD license, see https://github.com/fangq/easyh5 for details % newname=name; isunpack=1; if(nargin==2 && ~isstruct(varargin{1})) isunpack=varargin{1}; elseif(nargin>1) isunpack=jsonopt('UnpackHex',1,varargin{:}); end if(isunpack) if(isempty(regexp(name,'0x([0-9a-fA-F]+)_','once'))) return end if(exist('native2unicode','builtin')) h2u=@hex2unicode; newname=regexprep(name,'(^x|_){1}0x([0-9a-fA-F]+)_','${h2u($2)}'); else pos=regexp(name,'(^x|_){1}0x([0-9a-fA-F]+)_','start'); pend=regexp(name,'(^x|_){1}0x([0-9a-fA-F]+)_','end'); if(isempty(pos)) return; end str0=name; pos0=[0 pend(:)' length(name)]; newname=''; for i=1:length(pos) newname=[newname str0(pos0(i)+1:pos(i)-1) char(hex2dec(str0(pos(i)+3:pend(i)-1)))]; end if(pos(end)~=length(name)) newname=[newname str0(pos0(end-1)+1:pos0(end))]; end end end %-------------------------------------------------------------------------- function str=hex2unicode(hexstr) val=hex2dec(hexstr); id=histc(val,[0 2^8 2^16 2^32 2^64]); type={'uint8','uint16','uint32','uint64'}; bytes=typecast(cast(val,type{id~=0}),'uint8'); str=native2unicode(fliplr(bytes(:,1:find(bytes,1,'last')))); octave-iso2mesh-1.9.6+ds/doc/0000755001356000007640000000000013724766530014677 5ustar fangqadminoctave-iso2mesh-1.9.6+ds/doc/Advanced_Features.txt0000644001356000007640000001140413724766530021003 0ustar fangqadmin #[1]iso2mesh: a Matlab/Octave-based mesh generator Advanced Features in iso2mesh Global variables ISO2MESH_TEMP controls the temporary file output directory The default output directory is under the system's temporary directory, i.e. the output of mwpath(''). However, if one does not have permission to write to this folder, or if this contains outputs from other users who shares the same output folder (for example, /tmp/iso2mesh-username on Linux), one can avoid the permission error by setting his own output folder. To do this, he need to define ISO2MESH_TEMP='/folder/path/you/can/write'; in Matlab/Octave's "base workspace". The iso2mesh commands afterward will output the intermediate files under the specified temp directory. ISO2MESH_SESSION controls the output file name prefix If two users share a common output directory (for example /tmp for GNU Linux) on a single machine, some of the users may not able to write intermediate output files and encountered errors. If this happens, one can set "ISO2MESH_TEMP" to define a new output folder, alternatively, one can set ISO2MESH_SESSION to label all his output by a unique prefix. For example, if one define ISO2MESH_SESSION='foo_'; this will prepend 'foo_' to all output file names, if this string is unique, users can produce all their output files without conflict with other users. ISO2MESH_BIN specifies the folder where to look for the external binaries There are several external tools are essential for iso2mesh. These pre-compiled binaries are saved under iso2mesh/bin folder. In our [2]Installation instructions, we ask the users to add this path to their PATH environment variable. If user for some reason not be able to do this, iso2mesh will do two things to look for these binaries: 1. it will first check a global variable ISO2MESH_BIN and see if it is defined in the 'base' workspace, if it is defined and the folder exist, it will execute the binaries from that folder 2. if no ISO2MESH_BIN defined, or it has a value which does not exist, iso2mesh will use the relative path "iso2mesh/bin" to load those binaries 3. otherwise, it will give an error message, complaining the binary can not be found. ISO2MESH_RANDSEED sets the seed for the random number generators in the CGAL modules Iso2mesh versions later than 1.0.0 can make reproducible meshes across multiple runs. This was done by setting proper seeds for the random number generators called inside the CGAL executables. By default, iso2mesh will use 0x623F9A9E as the seed. If you prefer to set your own seed, please define a global variable named ISO2MESH_RANDSEED in the "base" workspace. The value of ISO2MESH_RANDSEED must be a positive integer. If iso2mesh detects the definition of ISO2MESH_RANDSEED, it will use it to seed the RNGs. Intermediate outputs For each step of the mesh generation along the [3]work-flow, iso2mesh will save some intermediate outputs as logs. These outputs are saved under the output of mwpath('') (see the explanations for ISO2MESH_TEMP above). pre_extract.inr if one use the default 'cgalsurf' method in vol2surf to extract an isosurface from a binary image, this file will save the raw binary image for each level set (only the last levelset stays) post_extract.off the output surface mesh from 'cgalsurf' method (vol2surf) pre_remesh.off if one use the 'simplify' option of vol2surf, this file saves the voxel-resolution surface mesh extracted using binsurface subroutine post_remesh.off this file records the triangular surface after mesh simplifications (meshresample) pre_sclean.off for 'simplify' approach, this file is the surface mesh before the mesh validation (meshcheckrepair) post_sclean.off this is the output from 'mechcheckrepair' subroutine. post_vmesh.poly when generating the 3D tetrahedral mesh, tetgen needs an input file with PLC (piece-wise linear complexes) which is saved in this poly file. post_vmesh.off if no bounding box needed, this file saves the same info as the poly file, except it is in off format. post_vmesh.1.ele tetgen output: tetrahedral element file post_vmesh.1.face tetgen output: boundary surface element file post_vmesh.1.node tetgen output: node file References 1. http://iso2mesh.sourceforge.net/cgi-bin/index.cgi?action=rss 2. http://iso2mesh.sourceforge.net/cgi-bin/index.cgi?Doc/Installation 3. http://iso2mesh.sourceforge.net/cgi-bin/index.cgi?Doc/Workflow octave-iso2mesh-1.9.6+ds/doc/INSTALL.txt0000644001356000007640000000770213724766530016554 0ustar fangqadmin #[1]iso2mesh: a Matlab/Octave-based mesh generator Installation Instructions for iso2mesh toolbox System Requirements Iso2mesh is written in the Matlab language and is fully compatible with [2]GNU Octave, as a result, any system that is capable of running Matlab or Octave is able to run this toolbox in theory. However, as we described in the [3]Doc/README, this toolbox relies on multiple external tools/libraries for full functionality. So far, we have only compiled these external tools for Linux (32/64bit), Mac OS (Intel based or PowerPC based) and Windows (95~Windows 7, 32/64bit). If your platform is not listed above (such as Solaris, AIX etc), please download the [4]source code of these tools and compile them on your own machine. The recommended system configuration for running this toolbox includes * a computer running GNU/Linux, Windows, Mac OS (either 32bit/64bit) * standard installation of Matlab (v7 or above) or Octave (3.0 or above) (for some demos, you need to install the image processing toolbox for Matlab/Octave) * 30M disk space for the toolbox and the examples * a folder where you have write permission Installation The installation of iso2mesh to your system is straightforward, simplify following the instructions below: * extract the downloaded package to a folder, for example, /home/myaccount/work/iso2mesh, let's call it the "root directory" of iso2mesh; * start your Maltab, type addpath('/home/myaccount/work/iso2mesh') to add iso2mesh to your Matlab search path for the current session + if you want to add this path permanently for Matlab, you need to type pathtool, browse to the iso2mesh root directory and add it to the list, then click "Save" * then, you can do a rehash in Matlab, and type which vol2mesh, if you see an output, that means iso2mesh is now installed in Matlab * you can navigate to a folder named "sample" inside iso2mesh's root directory, and run the demo scripts, you should be able to see the code complete with no error message. If it complains that some commands can not be found, please make sure you have followed the instructions above. For restricted users You do not have to be a system administrator to install or use iso2mesh toolbox. Most of the installation instructions can be done on a per-user basis. The only issue a restricted user may encounter is the "permission error" when saving the "pathtool" path list in order to add iso2mesh permanently. If this happens, you may work in a multi-user or network-based system. For Matlab users, you typically need to create file named [5]startup.m under the [6]Matlab startup directory (~/matlab/ for Linux/Unix), and put addpath('/path/to/iso2mesh/'); into this file. It will be automatically executed when Matlab starts. For Octave, this file is [7].octaverc. When using this toolbox under an extensively restricted mode, one may encounter a "fail to write" error, this may likely be caused by the default output folder is not writable from your account. If you do have another folder which you have permission to write, you need to [8]define an variable ISO2MESH_TEMP in Matlab/Octave's "base workspace" and set the value as the writable folder path, then rerun your meshing commands. References 1. http://iso2mesh.sourceforge.net/cgi-bin/index.cgi?action=rss 2. http://www.gnu.org/software/octave/ 3. http://iso2mesh.sourceforge.net/cgi-bin/index.cgi?Doc/README 4. http://sourceforge.net/p/iso2mesh/code/402/tree/trunk/ 5. http://www.mathworks.com/access/helpdesk/help/techdoc/matlab_env/f8-4994.html#brlkmbe-1 6. http://www.mathworks.com/help/techdoc/matlab_env/f8-10506.html 7. http://en.wikibooks.org/wiki/MATLAB_Programming/Differences_between_Octave_and_MATLAB#startup.m 8. http://iso2mesh.sourceforge.net/cgi-bin/index.cgi?Advanced octave-iso2mesh-1.9.6+ds/doc/Download_and_License.txt0000644001356000007640000001373513724766530021504 0ustar fangqadmin #[1]iso2mesh: a Matlab/Octave-based mesh generator How to obtain iso2mesh 1. [2]Download the latest release 2. [3]Download Development Snapshot from SVN (not fully tested) 2.1. [4]Anonymous SVN Access 2.2. [5]Developer SVN Access 3. [6]Important Note on Licenses 1. Download the latest release iso2mesh 2013 (1.5.0), codenamed [7]Laba Porridge Please download the latest v1.5.0 release at our [8]registration/download page. We are greatly appreciated if you can tell us a little bit about you and your related research by [9]registering your copy of iso2mesh. * Release date: July 16, 2013 * This software is supported on [os-icons3.png] iso2mesh 1.4.9, codenamed Laba Porridge (beta) Please download the stable v1.4.9 release at our [10]registration/download page. * Release date: Jan. 20, 2013 2. Download Development Snapshot from SVN (not fully tested) If you want to get the latest development branch of iso2mesh, you have to download it from our subversion (SVN) repository. You have to be aware that an SVN snapshot is not a stable release. It may contain partially implemented features and, thus, cause crash or erroneous results. First, make sure you have installed an SVN client on your system. If your system is a Debian-based GNU/Linux system (such as Ubuntu, Knoppix etc), you can install SVN by sudo apt-get install subversion if you are using a Redhat-based GNU/Linux system (such as Fedora, CentOS etc), you can do this by su -c 'yum install subversion' If your operating system is Windows, we recommend you installing [11]TortoiseSVN. 2.1. Anonymous SVN Access The latest code snapshot can be checked out from project's [12]SVN repository. It can be checked out anonymously by the following command. svn checkout svn://svn.code.sf.net/p/iso2mesh/code/trunk/iso2mesh iso2mesh After checking out the code, you need to set up the path based on the [13]installation instructions. Then you can start matlab or octave, and run the example scripts under the sample directory. 2.2. Developer SVN Access If you are one of the developers who have SVN write-permission, you can checkout the latest code with the same command above. You will have to [14]register an account and ask the [15]project maintainer to grant you SVN permission). Once checkout, you can simply make changes or debug your changes in your local copy. If your local changes have passed review by other co-developers, you can then commit your changes back to the SVN repository by cd /path/to/iso2mesh/local/copy svn commit -m "a short summary of your changes" 3. Important Note on Licenses The iso2mesh toolbox is licensed under [16]GNU Public License (GPL). However, it included a number of external tools (under bin/ directory) to perform certain functionality by means of [17]pipelines. These external tools are subjected to their upstream licenses and are not necessarily GPL (or GPL compatible). The complete list of these external commands and their author info and licenses can be found from the [18]README page. Particularly, the 3D meshing tool, tetgen, is licensed under a non-free license: it can be freely used, modified, redistributed only for research and academic purposes, any commercial utility of tetgen requires a permission from its [19]original author. iso2mesh calls tetgen in the background to produce 3D mesh, that means if anyone needs to uses the 3D mesh produced by iso2mesh in a commercial product, you MUST contact the author of tetgen to get permission. Processing binary images and produce surfaces are not subject to this limitation. In additional to the licenses, if you use this tool in your research, we are greatly appreciated if you can add iso2mesh to your references: Qianqian Fang, iso2mesh: a matlab-based 3D tetrahedral mesh generator, URL: [20]http://iso2mesh.sourceforge.net, 2008 or Qianqian Fang and David Boas, "Tetrahedral mesh generation from volumetric binary and gray-scale images," Proceedings of IEEE International Symposium on Biomedical Imaging 2009, pp. 1142-1145, 2009 If you used cgalsurf or cgalmesh options in your mesh preparation, you should also acknowledge [21]CGAL publications. If you generated your mesh with the tetgen module in iso2mesh instead of CGAL mesher, you may need to [22]acknowledge tetgen in your publications, you can find more references from [23]this link. References 1. http://iso2mesh.sourceforge.net/cgi-bin/index.cgi?action=rss 2. http://iso2mesh.sourceforge.net/cgi-bin/index.cgi?Download#Download_the_latest_release 3. http://iso2mesh.sourceforge.net/cgi-bin/index.cgi?Download#Download_Development_Snapshot_from_SVN_not_fully_tested 4. http://iso2mesh.sourceforge.net/cgi-bin/index.cgi?Download#Anonymous_SVN_Access 5. http://iso2mesh.sourceforge.net/cgi-bin/index.cgi?Download#Developer_SVN_Access 6. http://iso2mesh.sourceforge.net/cgi-bin/index.cgi?Download#Important_Note_on_Licenses 7. http://en.wikipedia.org/wiki/Laba_Congee 8. http://iso2mesh.sourceforge.net/cgi-bin/index.cgi?register/iso2mesh 9. http://iso2mesh.sourceforge.net/cgi-bin/index.cgi?action=edit&id=register/iso2mesh 10. http://iso2mesh.sourceforge.net/cgi-bin/index.cgi?register/iso2mesh 11. http://tortoisesvn.net/downloads 12. http://sourceforge.net/p/iso2mesh/code/404/tree/ 13. http://iso2mesh.sourceforge.net/cgi-bin/index.cgi?Doc/Installation 14. https://sourceforge.net/user/registration 15. http://sourceforge.net/users/fangq 16. http://www.gnu.org/licenses/gpl-2.0.html 17. http://en.wikipedia.org/wiki/Unix_pipe 18. http://iso2mesh.sourceforge.net/cgi-bin/index.cgi?Doc/README#Acknowledgement 19. http://www.wias-berlin.de/~si 20. http://iso2mesh.sourceforge.net/ 21. http://www.cgal.org/bibliography.html 22. http://tetgen.berlios.de/reference.html 23. http://iso2mesh.sourceforge.net/cgi-bin/index.cgi?Doc/References octave-iso2mesh-1.9.6+ds/doc/FAQ.txt0000644001356000007640000003267313724766530016062 0ustar fangqadmin #[1]iso2mesh: a Matlab/Octave-based mesh generator Frequently asked questions about iso2mesh 1. [2]I am getting a "Two subfaces ... are found intersecting each other" error, what should I do? 2. [3]After mesh generation, the surface plot looks messed up, what was wrong? 3. [4]Matlab complains about imread, imclose or imfill missing 4. [5]iso2mesh failed when writing files to disk 5. [6]When displaying a surface produced by iso2mesh, there are many holes, how to fix this? 6. [7]Subroutine meshresample returns an empty mesh, why? 7. [8]Which meshing option should I choose? 8. [9]How do I control mesh density in iso2mesh? 9. [10]How to mesh a domain containing multiple isolated objects ? 1. I am getting a "Two subfaces ... are found intersecting each other" error, what should I do? This is the most frequently encountered problem using this toolbox. There are three possible causes of this error: 1. the volume you are trying to mesh contains joint regions between more than 2 materials This is most likely happening when you see the above error message. Try to plot your volume slice by slice, and pay attention to any voxels whose neighbors have more than 2 different values. If this is the case, you can only use this type of input with vol2mesh/v2m with 'cgalmesh' option as the "method" parameter. If you use either "simplify" or "cgalsurf" (default) options, iso2mesh will fail. If for some reason you have to use these options, here are two possible temporary work-arounds: 1. if there are not many junction voxels, you may want to manually edit your image and disconnect the regions that share the same boundary and make sure all the sub-regions are either completely disjointed, or completely enclosed by another. 2. merge the regions that have shared boundaries, and mesh the resulting merged volume; after you get the tetrahedra, compute the centroid of each element in the merged domain (identified by their labels), and map them back to your original segmented image; determine the original region id using the voxel containing the centroids. If you have any better suggestions to enable iso2mesh to handle this situation, please let [11]me know. 2. you are using 'simplify' method to mesh a complex domain There are two possible methods for volume-to-surface conversion, 'simplify' and 'cgalsurf'. The second method always returns a well-posed surface where no self-intersecting elements present; however, the 'simplify' approach does not. The default method for vol2mesh/vol2surf (v2m/v2s) is 'cgalsurf'. If you have to use 'simplify', you may have to experiment different surface densities for the surface extraction. You may lucky enough to find a working configuration, but very likely, you may not. Please use 'cgalsurf' option whenever possible. 3. your surface mesh is too coarse and intersects the enclosed surfaces The mesh extraction will represent the region boundaries by a sheet of triangles. Near sharp edges, this representation may generate a rounded edge and does not exactly preserve the shape of the original domain. If you happen to mesh a thin layer of material, the resulting surface may intersect each other at sharp edges if your surface element is too big. Please use a small opt.radbound value to run the mesh generation again. 2. After mesh generation, the surface plot looks messed up, what was wrong? It is very likely you incorrectly used the output variables. The output of vol2mesh or surf2mesh include elem: the tetrahedral element indices, and face: the surface triangle indices. But be careful, both of these two arrays have an additional column. The last column is a label field, indicating the origin (sub-region) of the elements. You should never use the last columns of these two arrays for plotting. To make a correct surface plot, you should use something like trisurf(face(:,1:3),node(:,1),node(:,2),node(:,3)); and don't use the full face array as the first parameter. If you are using iso2mesh newer than 0.9.8, you can use a function called "plotmesh" to visualize the produced surfaces and volumes. The script will attempt to recognize the extra column of "face" by using the Euler characteristics and automatically ignore it if present. 3. Matlab complains about imread, imclose or imfill missing Under the sample/ directory, demo_vol2mesh_ex2.m requires imread, which is a build-in function in matlab, but not in octave. You have to install octave-image via apt-get or yum first. In example demo_vol2mesh_ex3.m, functions imclose and imfill are needed. These two functions can only be found in matlab's image processing toolbox. If you don't have this toolbox installed (of course, it is not free), you can simply pass this example. For octave, unfortunately, these functions do not exist yet, and hopefully someone can fill them in soon. 4. iso2mesh failed when writing files to disk If you are working on a multi-user workstation, and multiple users were using iso2mesh, some temporary files may have a conflict in read/write permission under /tmp directory. If user A runs iso2mesh first, and user B will get this error, because iso2mesh fails to create the temporary files as it does not have the permissions to overwrite those files created by A. To solve this issue, please define your own temporary folder, or set your session id, you can find more info at [12]Advanced page. 5. When displaying a surface produced by iso2mesh, there are many holes, how to fix this? The node orders in the output surface mesh are random, some are oriented clockwise, some are counter-clockwise. This will make OpenGL, or OpenGL based applications, render the surface with different materials. To correct this, you can simply call [newnode,newface]=meshcheckrepair(node,face); and the new surface: [newnode,newface] will have consistent orientations. Again, be careful if you are using the face output from vol2surf/v2s, it has an extra column. You only need to use the first 3 columns in the face array when making plots. 6. Subroutine meshresample returns an empty mesh, why? When the input surface mesh contains topological defects, such as non-manifold nodes, the meshresample() subroutine will not proceed and return an empty mesh (the output message will show "0 total edges collapsed"). In this case, you need to first call meshcheckrepair() subroutine to fix your input mesh, and them pass it to meshresample. An example is shown below: [no2,fc2]=meshcheckrepair(node_in,face_in); [node_out,face_out]=meshresample(no2,fc2,0.2); (this issue is automatically corrected in iso2mesh 0.8 or newer) 7. Which meshing option should I choose? Iso2mesh provides 3 options for v2m and vol2mesh, namely, 'cgalmesh', 'cgalsurf' and 'simplify'. Some users may get confused which one to use. In fact, we were hoping not to put users in this situation, as iso2mesh was designed for simplicity and efficiency. Unfortunately, we haven't really found a single option that works for all of the situations, and each of the 3 options have there good and bad sides. * cgalmesh: this is the most powerful option of all, and is potentially the ideal candidate as the default option. With 'cgalmesh', iso2mesh can easily process a binary volume and a volume with multi-region labels with good speed and robustness. It can produce both volumetric and surfaces meshes at the same time, and clearly labels the element and surfaces for each individual sub-region. However, it is not perfect. It can not extract iso-surfaces from a gray-scale image. When you want to control mesh densities near a specific isosurface (such as [13]this case), cgalmesh option is not as flexible as the other two. In short, cgalmesh is the best choice for producing uniform-sized meshes from an arbitrary segmented volume. * cgalsurf: cgalsurf option produces surface and volumetric meshes with a standard 2-step process as shown in the [14]workflow. When extracting multiple isosurfaces, it will do the extraction sequentially. The strengths of cgalsurf include 1) all the extracted surfaces are guaranteed to be free of self-intersecting elements, individually, and 2) it can handle gray-scale volumes. The main issue for cgalsurf is when multiple isosurfaces overlap to each other, v2m/vol2mesh will break as the combined surface contains self-intersecting elements. In short, cgalsurf is the best option when multiple sub-regions are disconnected, or one enclosing another. * simplify: this is as flexible as cgalsurf, but it is not as reliable. After the mesh simplification, a surface may become self-intersecting and v2m/vol2mesh will stop working. However, when you only have a dense surface to start with, this is the only option you can use. To make it easy to remember: 1. when meshing a simple binary volume, 'cgalmesh' and 'cgalsurf' are both good choices 2. when meshing a segmented volumes with multiple sub-regions, use 'cgalmesh' 3. when meshing a gray-scale volume, use 'cgalsurf' 4. when other options fail, try 'simplify'. 8. How do I control mesh density in iso2mesh? Iso2mesh uses two parameters to quantitatively control the mesh density. In v2m or vol2mesh, parameter opt sets the maximum edge length of the surface triangles (i.e. controlling the density of the mesh on the surface), and maxvol sets the maximum tetrahedron volume. If you want to let the mesh be denser on the surface and coarser inside, you can use a small opt value and a large maxvol value. If you want to control the surface mesh density so that it adapts depending on the curvature, you can do so by defining opt as a struct, and set the opt.radbound and opt.distbound values. You can find examples from [15]this presentation (slide 15). This example can also be accessed from iso2mesh/sample/demo_helloworld.m 9. How to mesh a domain containing multiple isolated objects ? This is a known issue with the CGAL [16]surface mesher and [17]3D mesher. A bug report has been filed [18]here, but it was not known if any fix has been applied upstream. For v2m/v2s with a 'cgalmesh' option, a simple work-around is to remove zero-voxels by adding 1 to the 3D image. Then cgalmesher should be able to recover all inclusions, along with the background. You can then remove the background by checking the domain ID. For example: [no,el]=v2m(uint8(img+1), [], opt, maxvol, 'cgalmesh'); el=el(find(el(:,5)>1),:); [no,newel]=removeisolatednode(no(:,1:3),el(:,1:4)); newel(:,5)=el(:,5)-1; If the target domain is a binary image, there is another work-around: function [node,elem]=meshisolatedobj(img,opt,maxvol) % % Usage: % [node,elem]=meshisolatedobj(img,opt,maxvol) % Author: Qianqian Fang % img=logical(img); [bin,regionnum]=bwlabeln(img,6); node=[]; elem=[]; for regionid=1:regionnum fprintf(1,'meshing region #%d ...\n',regionid); [no,el]=v2m(bin==regionid,0.5,opt,maxvol); % merge the resulting mesh with other regions el(:,5)=regionid; el(:,1:4)=el(:,1:4)+size(node,1); if(regionid>1) elem=[elem;el]; node=[node;no]; else node=no; elem=el; end end This function only works in Matlab because function bwlabeln is not available in Octave. References 1. http://iso2mesh.sourceforge.net/cgi-bin/index.cgi?action=rss 2. http://iso2mesh.sourceforge.net/cgi-bin/index.cgi?Doc/FAQ#I_am_getting_a_Two_subfaces_are_found_intersecting_each_other_error_what_should_I_do 3. http://iso2mesh.sourceforge.net/cgi-bin/index.cgi?Doc/FAQ#After_mesh_generation_the_surface_plot_looks_messed_up_what_was_wrong 4. http://iso2mesh.sourceforge.net/cgi-bin/index.cgi?Doc/FAQ#Matlab_complains_about_imread_imclose_or_imfill_missing 5. http://iso2mesh.sourceforge.net/cgi-bin/index.cgi?Doc/FAQ#iso2mesh_failed_when_writing_files_to_disk 6. http://iso2mesh.sourceforge.net/cgi-bin/index.cgi?Doc/FAQ#When_displaying_a_surface_produced_by_iso2mesh_there_are_many_holes_how_to_fix_this 7. http://iso2mesh.sourceforge.net/cgi-bin/index.cgi?Doc/FAQ#Subroutine_meshresample_returns_an_empty_mesh_why 8. http://iso2mesh.sourceforge.net/cgi-bin/index.cgi?Doc/FAQ#Which_meshing_option_should_I_choose 9. http://iso2mesh.sourceforge.net/cgi-bin/index.cgi?Doc/FAQ#How_do_I_control_mesh_density_in_iso2mesh 10. http://iso2mesh.sourceforge.net/cgi-bin/index.cgi?Doc/FAQ#How_to_mesh_a_domain_containing_multiple_isolated_objects 11. http://iso2mesh.sourceforge.net/cgi-bin/index.cgi?FangQ 12. http://iso2mesh.sourceforge.net/cgi-bin/index.cgi?Advanced 13. http://iso2mesh.sourceforge.net/upload/head_mesh.jpg 14. http://iso2mesh.sourceforge.net/cgi-bin/index.cgi?Doc/Workflow 15. http://iso2mesh.sf.net/upload/iso2mesh_a_one_liner_mesh_generator.pdf 16. http://www.cgal.org/Manual/latest/doc_html/cgal_manual/Surface_mesher/Chapter_main.html 17. http://www.cgal.org/Manual/latest/doc_html/cgal_manual/Mesh_3/Chapter_main.html 18. http://cgal-discuss.949826.n4.nabble.com/missing-objects-when-meshing-a-3D-image-with-multiple-disconnected-inclusions-td3349283.html octave-iso2mesh-1.9.6+ds/doc/Get_Started.txt0000644001356000007640000000545013724766530017651 0ustar fangqadmin #[1]iso2mesh: a Matlab/Octave-based mesh generator Getting Started with iso2mesh Although iso2mesh provides a rich collection of [2]mesh-related functions, the core functionality, i.e. creating volumetric meshes from surfaces or binary image stacks, is very straightforward to use. A minimum step to perform such task only requires about 3 to 5 lines of matlab code. You can find a list of examples under the "sample" directory. In [3]this page, we summarize the overall work-flow of this toolbox. To outline a simple meshing session, let's assume you have a 3D image array, named "mydata", saved in a file called "mydata.mat". Variable mydata can be any 3D image, an MRI/CT scan or a simple binary mask produced by your own command. Here are the commands you need to produce a volumetric FEM mesh from this volume: load mydata.mat [node,elem,face]=v2m(mydata,0.5,5,100); plotmesh(node,face) Apparently, the first line loads the volumetric image data into your current session. The second line calls an iso2mesh function, 'v2m', the shortcut for vol2mesh, to construct a volumetric mesh from this data array. The first argument of v2m, "mydata", is the volumetric image you are about to mesh; the 2nd argument is the threshold value at which you define the boundary surface of the mesh; the 3rd argument, 5, defines the maximum size of the surface triangles; the last argument, 100, defines the maximum volume of the resulting tetrahedral elements. You can define a vector for the second argument, asking iso2mesh to produce multiple level-sets as the exterior or internal interfaces of the target domain. Both the 3rd and 4th arguments controls the density of the resulting mesh: the smaller the values, the more triangles on the surface and more tetrahedra in the volumetric mesh. There are 3 outputs from v2m command: * node: the node coordinates for the generated volumetric mesh, with dimension of NN x 3, with each column being x, y and z, respectively; NN is the number of nodes. * elem: the tetrahedral element info, with a dimension of NE x 4, NE being the number of tetrahedral elements; each row represents an element, and each column are the node indices for each corner of a tetrahedron. * face: triangular surface element info, with a dimension of NS x 4, NS being the number of surface triangles;the first 3 columns are the node indices of each corner of the triangle, and the last column is a flag to identify its mapping to the original surface id. References 1. http://iso2mesh.sourceforge.net/cgi-bin/index.cgi?action=rss 2. http://iso2mesh.sourceforge.net/cgi-bin/index.cgi?Doc/FunctionList 3. http://iso2mesh.sourceforge.net/cgi-bin/index.cgi?Doc/Workflow octave-iso2mesh-1.9.6+ds/doc/gendoc.sh0000755001356000007640000000141613724766530016477 0ustar fangqadmin#!/bin/sh # commands to update the document pages from homepage lynx -dont_wrap_pre -dump "http://iso2mesh.sourceforge.net/cgi-bin/index.cgi?keywords=Download&embed=1" > Download_and_License.txt lynx -dont_wrap_pre -dump "http://iso2mesh.sourceforge.net/cgi-bin/index.cgi?keywords=Doc/Installation&embed=1" > INSTALL.txt lynx -dont_wrap_pre -dump "http://iso2mesh.sourceforge.net/cgi-bin/index.cgi?keywords=Doc/Basics&embed=1" > Get_Started.txt lynx -dont_wrap_pre -dump "http://iso2mesh.sourceforge.net/cgi-bin/index.cgi?keywords=Doc/FAQ&embed=1" > FAQ.txt lynx -dont_wrap_pre -dump "http://iso2mesh.sourceforge.net/cgi-bin/index.cgi?keywords=Advanced&embed=1" > Advanced_Features.txt wget http://iso2mesh.sourceforge.net/upload/iso2mesh_workflow_v2.png -Oiso2mesh_workflow.png octave-iso2mesh-1.9.6+ds/saveasc.m0000644001356000007640000000125713724766530015742 0ustar fangqadminfunction saveasc(v,f,fname) % % saveasc(v,f,fname) % % save a surface mesh to FreeSurfer ASC mesh format % % author: Qianqian Fang, % date: 2009/04/02 % % input: % v: input, surface node list, dimension (nn,3) % f: input, surface face element list, dimension (be,3) % fname: output file name % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % fid=fopen(fname,'wt'); if(fid==-1) error('You do not have permission to save mesh files.'); end fprintf(fid,'#!ascii raw data file %s\n',fname); fprintf(fid,'%d %d\n',length(v),length(f)); fprintf(fid,'%.16f %.16f %.16f 0\n',v'); fprintf(fid,'%d %d %d 0\n',(f-1)'); fclose(fid); octave-iso2mesh-1.9.6+ds/readmedit.m0000644001356000007640000000170313724766530016247 0ustar fangqadminfunction [node,elem,face]=readmedit(filename) % % [node,elem,face]=readmedit(filename) % % read Medit mesh format % % author: Qianqian Fang, % % input: % fname: name of the medit data file % % output: % node: node coordinates of the mesh % elem: list of elements of the mesh % face: list of surface triangles of the mesh % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % node=[]; elem=[]; face=[]; fid=fopen(filename,'rt'); while(~feof(fid)) key=fscanf(fid,'%s',1); if(strcmp(key,'End')) break; end val=fscanf(fid,'%d',1); if(strcmp(key,'Vertices')) node=fscanf(fid,'%f',4*val); node=reshape(node,[4 val])'; elseif(strcmp(key,'Triangles')) face=fscanf(fid,'%d',4*val); face=reshape(face,[4 val])'; elseif(strcmp(key,'Tetrahedra')) elem=fscanf(fid,'%d',5*val); elem=reshape(elem,[5 val])'; end end fclose(fid); octave-iso2mesh-1.9.6+ds/gzipencode.m0000644001356000007640000000341713724766530016444 0ustar fangqadminfunction varargout = gzipencode(varargin) % % output = gzipencode(input) % or % [output, info] = gzipencode(input) % % Compress a string or numerical array using the GZIP-compression % % This function depends on JVM in MATLAB or, can optionally use the ZMat % toolbox (http://github.com/fangq/zmat) % % Copyright (c) 2012, Kota Yamaguchi % URL: https://www.mathworks.com/matlabcentral/fileexchange/39526-byte-encoding-utilities % % Modified by: Qianqian Fang (q.fang neu.edu) % % input: % input: the original data, can be a string, a numerical vector or array % % output: % output: the decompressed byte stream stored in a uint8 vector; if info is % given, output will restore the original data's type and dimensions % % examples: % [bytes, info]=gzipencode(eye(10)); % orig=gzipdecode(bytes,info); % % license: % BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details % % -- this function is part of JSONLab toolbox (http://iso2mesh.sf.net/cgi-bin/index.cgi?jsonlab) % if(nargin==0) error('you must provide at least 1 input'); end if(exist('zmat','file')==2 || exist('zmat','file')==3) [varargout{1:nargout}]=zmat(varargin{1},1,'gzip'); return; elseif(isoctavemesh) error('You must install the ZMat toolbox (http://github.com/fangq/zmat) to use this function in Octave'); end error(javachk('jvm')); if(ischar(varargin{1})) varargin{1}=uint8(varargin{1}); end input=typecast(varargin{1}(:)','uint8'); buffer = java.io.ByteArrayOutputStream(); gzip = java.util.zip.GZIPOutputStream(buffer); gzip.write(input, 0, numel(input)); gzip.close(); varargout{1} = typecast(buffer.toByteArray(), 'uint8')'; if(nargout>1) varargout{2}=struct('type',class(varargin{1}),'size',size(varargin{1}),'method','gzip','status',0); end octave-iso2mesh-1.9.6+ds/Content.txt0000644001356000007640000057630713724766530016327 0ustar fangqadmin=== # Streamlined mesh generation - shortcuts === ==== function [node,elem,face]=v2m(img,isovalues,opt,maxvol,method) ==== [node,elem,face]=v2m(img,isovalues,opt,maxvol,method) volumetric mesh generation from binary or gray-scale volumetric images shortcut for vol2mesh inputs and outputs are similar to those defined in vol2mesh ==== function [no,el,regions,holes]=v2s(img,isovalues,opt,method) ==== [no,el,regions,holes]=v2s(img,isovalues,opt,method) surface mesh generation from binary or gray-scale volumetric images shortcut for vol2surf inputs and outputs are similar to those defined in vol2surf; In v2s, method can be set to 'cgalmesh' in addition to those allowed by vol2surf. ==== function [node,elem,face]=s2m(v,f,keepratio,maxvol,method,regions,holes,varargin) ==== [node,elem,face]=s2m(v,f,keepratio,maxvol,method) [node,elem,face]=s2m(v,f,keepratio,maxvol,'tetgen',regions,holes) volumetric mesh generation from a closed surface, shortcut for surf2mesh inputs and outputs are similar to those defined in surf2mesh if method='cgalpoly', s2m will call cgals2m and keepratio should be a structure (as the 'opt' input in cgals2m) input default values: method: if ignored, iso2mesh uses surf2mesh ('tetgen') to do the tetrahedral mesh generation regions,holes: if ignored, iso2mesh assumes both are empty ==== function varargout=s2v(node,face,div,varargin) ==== [img,v2smap]=s2v(node,face,div) shortcut for surf2vol, coverting a surface to a volumetric image input: node: node list of the triangular surface, 3 columns for x/y/z face: triangle node indices, each row is a triangle div: division number along the shortest edge of the mesh (resolution) if not given, div=50 output: img: a volumetric binary image at position of ndgrid(xi,yi,zi) v2smap (optional): a 4x4 matrix denoting the Affine transformation to map the voxel coordinates back to the mesh space. One can use the v2smap to convert a mesh generated from the rasterized volume into the original input mesh space (work coordinate system). For example: [img,map]=s2v(node,face); [no,el]=v2s(img,0.5,5); newno=map*[no ones(length(no),1)]'; newno=newno(1:3,:)'; % newno and el now go back to the world coordinates ==== function varargout=m2v(varargin) ==== vol=m2v(node,face,Nxyz) or vol=m2v(node,face,xi,yi,zi) shortcut for mesh2vol, rasterizing a teterahedral mesh to a volume using graphics input/output: please see details in the help for mesh2vol ==== function newnode=sms(node,face,iter,alpha,method) ==== newnode=sms(node,face,iter,useralpha,method) simplified version of surface mesh smoothing input: node: node coordinates of a surface mesh face: face element list of the surface mesh iter: smoothing iteration number alpha: scaler, smoothing parameter, v(k+1)=alpha*v(k)+(1-alpha)*mean(neighbors) method: same as in smoothsurf, default is 'laplacianhc' output: newnode: output, the smoothed node coordinates ==== function varargout=i2m(varargin) ==== newworkspace=i2m; or newworkspace=i2m(workspace) Shortcut for img2mesh, a GUI for iso2mesh input/output: please see details in the help for img2mesh === # Streamlined mesh generation === ==== function [node,elem,face,regions]=vol2mesh(img,ix,iy,iz,opt,maxvol,dofix,method,isovalues) ==== [node,elem,face,regions]=vol2mesh(img,ix,iy,iz,opt,maxvol,dofix,method,isovalues) convert a binary (or multi-valued) volume to tetrahedral mesh input: img: a volumetric binary image ix,iy,iz: subvolume selection indices in x,y,z directions opt: as defined in vol2surf.m maxvol: target maximum tetrahedral elem volume when method='cgalmesh', maxvol can specify the target for each label (subregion index) by the following syntax 'label1=size1:label2=size2:...' dofix: 1: perform mesh validation&repair, 0: skip repairing method: 'cgalsurf' or omit: use CGAL surface mesher 'simplify': use binsurface and then simplify 'cgalmesh': use CGAL 3.5 3D mesher for direct mesh generation [new] generally speaking, 'cgalmesh' is the most robust path if you want to product meshes from binary or multi-region volumes, however, its limitations include 1) only accept uint8 volume, and 2) can not extract meshes from gray-scale volumes. If ones goal is to process a gray-scale volume, he/she should use the 'cgalsurf' option. 'simplify' approach is not recommended unless other options has failed. isovalues: a list of isovalues where the levelset is defined output: node: output, node coordinates of the tetrahedral mesh elem: output, element list of the tetrahedral mesh, the last column is the region ID face: output, mesh surface element list of the tetrahedral mesh the last column denotes the boundary ID region: optional output. if opt.autoregion is set to 1, region saves the interior points for each closed surface component ==== function [no,el,regions,holes]=vol2surf(img,ix,iy,iz,opt,dofix,method,isovalues) ==== [no,el,regions,holes]=vol2surf(img,ix,iy,iz,opt,dofix,method,isovalues) converting a 3D volumetric image to surfaces input: img: a volumetric binary image; if img is empty, vol2surf will return user defined surfaces via opt.surf if it exists ix,iy,iz: subvolume selection indices in x,y,z directions opt: function parameters if method is 'cgalsurf' or 'cgalpoly': opt=a float number>1: max radius of the Delaunay sphere(element size) opt.radbound: same as above, max radius of the Delaunay sphere opt.distbound: maximum deviation from the specified isosurfaces opt(1,2,...).radbound: same as above, for each levelset if method is 'simplify': opt=a float number<1: compression rate for surf. simplification opt.keepratio=a float less than 1: same as above, same for all surf. opt(1,2,..).keepratio: setting compression rate for each levelset opt(1,2,..).maxsurf: 1 - only use the largest disjointed surface 0 - use all surfaces for that levelset opt(1,2,..).side: - 'upper': threshold at upper interface 'lower': threshold at lower interface opt(1,2,..).maxnode: - the maximum number of surface node per levelset opt(1,2,..).holes: user specified holes interior pt list opt(1,2,..).regions: user specified regions interior pt list opt(1,2,..).surf.{node,elem}: add additional surfaces opt(1,2,..).{A,B}: linear transformation for each surface opt.autoregion: if set to 1, vol2surf will try to determine the interior points for each closed surface automatically dofix: 1: perform mesh validation&repair, 0: skip repairing method: - if method is 'simplify', iso2mesh will first call binsurface to generate a voxel-based surface mesh and then use meshresample/meshcheckrepair to create a coarser mesh; - if method is 'cgalsurf', iso2mesh will call the surface extraction program from CGAL to make surface mesh - if method is not specified, 'cgalsurf' is assumed by default isovalues: a list of isovalues where the levelset is defined output: no: list of nodes on the resulting suface mesh, 3 columns for x,y,z el: list of trianglular elements on the surface, [n1,n2,n3,region_id] regions: list of interior points for all sub-region, [x,y,z] holes: list of interior points for all holes, [x,y,z] ==== function [node,elem,face]=surf2mesh(v,f,p0,p1,keepratio,maxvol,regions,holes,forcebox,method,cmdopt) ==== [node,elem,face]=surf2mesh(v,f,p0,p1,keepratio,maxvol,regions,holes,forcebox) create quality volumetric mesh from isosurface patches input parameters: v: input, isosurface node list, dimension (nn,3) if v has 4 columns, the last column specifies mesh density near each node f: input, isosurface face element list, dimension (be,3) p0: input, coordinates of one corner of the bounding box, p0=[x0 y0 z0] p1: input, coordinates of the other corner of the bounding box, p1=[x1 y1 z1] keepratio: input, percentage of elements being kept after the simplification maxvol: input, maximum tetrahedra element volume regions: list of regions, specifying by an internal point for each region holes: list of holes, similar to regions forcebox: 1: add bounding box, 0: automatic outputs: node: output, node coordinates of the tetrahedral mesh elem: output, element list of the tetrahedral mesh face: output, mesh surface element list of the tetrahedral mesh the last column denotes the boundary ID ==== function [img, v2smap]=surf2vol(node,face,xi,yi,zi,varargin) ==== [img, v2smap]=surf2vol(node,face,xi,yi,zi,'options',values,...) convert a triangular surface to a shell of voxels in a 3D image input: node: node list of the triangular surface, 3 columns for x/y/z face: triangle node indices, each row is a triangle if face contains the 4th column, it indicates the label of the face triangles (each face componment must be closed); if face contains 5 columns, it stores a tetrahedral mesh with labels, where the first 4 columns are the element list and the last column is the element label; xi,yi,zi: x/y/z grid for the resulting volume options: 'fill', if set to 1, the enclosed voxels are labeled by 1 'label', if set to 1, the enclosed voxels are labeled by the corresponding label of the face or element; setting 'label' to 1 also implies 'fill'. output: img: a volumetric binary image at position of ndgrid(xi,yi,zi) v2smap (optional): a 4x4 matrix denoting the Affine transformation to map the voxel coordinates back to the mesh space. ==== function [mask weight]=mesh2vol(node,elem,xi,yi,zi) ==== [mask weight]=mesh2vol(node,face,Nxyz) [mask weight]=mesh2vol(node,face,[Nx,Ny,Nz]) [mask weight]=mesh2vol(node,face,xi,yi,zi,hf) or newval=mesh2vol(node_val,face,...) fast rasterization of a 3D mesh to a volume with tetrahedron index labels date for initial version: Feb 10,2014 input: node: node coordinates, dimension N by 2 or N by 3 array nodeval: a 4-column array, the first 3 columns are the node coordinates, the last column denotes the values associated with each node face: a triangle surface, N by 3 or N by 4 array Nx,Ny,Nxy: output image in x/y dimensions, or both xi,yi: linear vectors for the output pixel center positions in x/y hf: the handle of a pre-created figure window for faster rendering output: mask: a 3D image, the value of each pixel is the index of the enclosing triangle, if the pixel is outside of the mesh, NaN weight: (optional) a 3 by Nx by Ny array, where Nx/Ny are the dimensions for the mask newval: when the node has 4 columns, the last column represents the values (color) at each node, the output newval is the rasterized mesh value map over the specified grid. note: This function only works for matlab example: [no,el]=meshgrid6(0:5,0:5,0:3); mask=mesh2vol(no,el(:,1:4),0:0.1:5,0:0.1:5,0:0.1:4); imagesc(mask(:,:,3)) ==== function varargout = img2mesh(varargin) ==== Format: newworkspace = img2mesh or imgmesh(workspace) A GUI for Iso2Mesh for streamlined mesh data processing Input: workspace (optional): a struct containing the below fields .graph: a digraph object containing the i2m workspace data Output: newworkspace (optional): the updated workspace, with the same subfields as the input. If a user supplys an output variable, the GUI will not return until the user closes the window; if a user does not provide any output, the call will return immediately. Please find more information at http://iso2mesh.sf.net/ === # Iso2mesh main function backend === ==== function [node,elem]=binsurface(img,nface) ==== [node,elem]=binsurface(img,nface) fast isosurface extraction from 3D binary images input: img: a 3D binary image nface: nface=3 or ignored - for triangular faces, nface=4 - square faces nface=0 - return a boundary mask image via node output: elem: integer array with dimensions of NE x nface, each row represents a surface mesh face element node: node coordinates, 3 columns for x, y and z respectively the outputs of this subroutine can be easily plotted using patch('Vertices',node,'faces',elem,'FaceVertexCData',node(:,3), 'FaceColor','interp'); if the surface mesh has triangular faces, one can plot it with trisurf(elem,node(:,1),node(:,2),node(:,3)) ==== function [node,elem,face]=cgalv2m(vol,opt,maxvol) ==== [node,elem,face]=cgalv2m(vol,opt,maxvol) wrapper for CGAL 3D mesher (CGAL 3.5 or up) convert a binary (or multi-valued) volume to tetrahedral mesh http://www.cgal.org/Manual/3.5/doc_html/cgal_manual/Mesh_3/Chapter_main.html input: vol: a volumetric binary image ix,iy,iz: subvolume selection indices in x,y,z directions opt: parameters for CGAL mesher, if opt is a structure, then opt.radbound: defines the maximum surface element size opt.angbound: defines the miminum angle of a surface triangle opt.distbound: defines the maximum distance between the center of the surface bounding circle and center of the element bounding sphere opt.reratio: maximum radius-edge ratio if opt is a scalar, it only specifies radbound. maxvol: target maximum tetrahedral elem volume output: node: output, node coordinates of the tetrahedral mesh elem: output, element list of the tetrahedral mesh, the last column is the region id face: output, mesh surface element list of the tetrahedral mesh the last column denotes the boundary ID note: each triangle will appear twice in the face list with each one attaches to each side of the interface. one can remove the redundant triangles by unique(face(:,1:3),'rows') ==== function [node,elem,face]=cgals2m(v,f,opt,maxvol,varargin) ==== [node,elem,face]=cgals2m(v,f,opt,maxvol) wrapper for CGAL 3D mesher (CGAL 3.5 and newer) convert a triangular surface to tetrahedral mesh http://www.cgal.org/Manual/3.5/doc_html/cgal_manual/Mesh_3/Chapter_main.html input: v: the node coordinate list of a surface mesh (nn x 3) f: the face element list of a surface mesh (be x 3) opt: parameters for CGAL mesher, if opt is a structure, then opt.radbound: defines the maximum surface element size opt.angbound: defines the miminum angle of a surface triangle opt.distbound: defines the maximum distance between the center of the surface bounding circle and center of the element bounding sphere opt.reratio: maximum radius-edge ratio if opt is a scalar, it only specifies radbound. maxvol: target maximum tetrahedral elem volume output: node: output, node coordinates of the tetrahedral mesh elem: output, element list of the tetrahedral mesh, the last column is the region id face: output, mesh surface element list of the tetrahedral mesh the last column denotes the boundary ID ==== function [node,elem]=vol2restrictedtri(vol,thres,cent,brad,ang,radbound,distbound,maxnode) ==== [node,elem]=vol2restrictedtri(vol,thres,cent,brad,ang,radbound,distbound,maxnode) surface mesh extraction using CGAL mesher input: vol: a 3D volumetric image thres: a scalar as the threshold of of the extraction cent: a 3d position (x,y,z) which locates inside the resulting mesh, this is automatically computed from vol2surf brad: maximum bounding sphere squared of the resulting mesh ang: minimum angular constrains of the resulting tranglar elements (in degrees) radbound: maximum triangle delaunay circle radius distbound: maximum delaunay sphere distances maxnode: maximum number of surface nodes (even radbound is not reached) output: node: the list of 3d nodes in the resulting surface (x,y,z) elem: the element list of the resulting mesh (3 columns of integers) ==== function img=surf2volz(node,face,xi,yi,zi) ==== img=surf2volz(node,face,xi,yi,zi) convert a triangular surface to a shell of voxels in a 3D image along the z-axis input: node: node list of the triangular surface, 3 columns for x/y/z face: triangle node indices, each row is a triangle xi,yi,zi: x/y/z grid for the resulting volume output: img: a volumetric binary image at position of ndgrid(xi,yi,zi) ==== function [mask, weight]=mesh2mask(node,face,xi,yi,hf) ==== [mask weight]=mesh2mask(node,face,Nxy) or [mask weight]=mesh2mask(node,face,[Nx,Ny]) or [mask weight]=mesh2mask(node,face,xi,yi,hf) fast rasterization of a 2D mesh to an image with triangle index labels date for initial version: July 18,2013 input: node: node coordinates, dimension N by 2 or N by 3 array face: a triangle surface, N by 3 or N by 4 array Nx,Ny,Nxy: output image in x/y dimensions, or both xi,yi: linear vectors for the output pixel center positions in x/y hf: (optional) the handle of a pre-created figure window, for faster rendering output: mask: a 2D image, the value of each pixel is the index of the enclosing triangle, if the pixel is outside of the mesh, NaN weight: (optional) a 3 by Nx by Ny array, where Nx/Ny are the dimensions for the mask note: This function only works in MATLAB when the DISPLAY is not disabled. The maximum size of the mask output is limited by the screen size. example: [no,fc]=meshgrid6(0:5,0:5); [mask weight]=mesh2mask(no,fc,-1:0.1:5,0:0.1:5); imagesc(mask); === # Iso2mesh primitive meshing functions === ==== function [node,face,elem]=meshabox(p0,p1,opt,nodesize) ==== [node,face,elem]=meshabox(p0,p1,opt,nodesize) create the surface and tetrahedral mesh of a box geometry input: p0: coordinates (x,y,z) for one end of the box diagnoal p1: coordinates (x,y,z) for the other end of the box diagnoal opt: maximum volume of the tetrahedral elements nodesize: 1 or a 8x1 array, size of the element near each vertex output: node: node coordinates, 3 columns for x, y and z respectively face: integer array with dimensions of NB x 3, each row represents a surface mesh face element elem: integer array with dimensions of NE x 4, each row represents a tetrahedron example: [node,face,elem]=meshabox([2 3 2],[6 12 15],0.1,1); plotmesh(node,elem,'x>4'); ==== function [node,face,elem]=meshasphere(c0,r,tsize,maxvol) ==== [node,face,elem]=meshasphere(c0,r,tsize,maxvol) create the surface and tetrahedral mesh of a sphere input: c0: center coordinates (x0,y0,z0) of the sphere r: radius of the sphere tsize: maximum surface triangle size on the sphere maxvol: maximu volume of the tetrahedral elements output: node: node coordinates, 3 columns for x, y and z respectively face: integer array with dimensions of NB x 3, each row represents a surface mesh face element elem: integer array with dimensions of NE x 4, each row represents a tetrahedron ==== function [node,face,elem]=meshanellip(c0,rr,tsize,maxvol) ==== [node,face,elem]=meshanellip(c0,rr,opt) create the surface and tetrahedral mesh of an ellipsoid input: c0: center coordinates (x0,y0,z0) of the ellipsoid rr: radii of an ellipsoid, if rr is a scalar, this is a sphere with radius rr if rr is a 1x3 or 3x1 vector, it specifies the ellipsoid radii [a,b,c] if rr is a 1x5 or 5x1 vector, it specifies [a,b,c,theta,phi] where theta and phi are the rotation angles along z and x axes, respectively. Rotation is applied before translation. tsize: maximum surface triangle size on the sphere maxvol: maximu volume of the tetrahedral elements output: node: node coordinates, 3 columns for x, y and z respectively face: integer array with dimensions of NB x 3, each row represents a surface mesh face element elem: integer array with dimensions of NE x 4, each row represents a tetrahedron; if ignored, only produces the surface example: [node,face,elem]=meshanellip([10,10,-10],[30,20,10,pi/4,pi/4],0.5,0.4); plotmesh(node,elem,'x>10');axis equal; ==== function [node,face,elem]=meshunitsphere(tsize,maxvol) ==== [node,face,elem]=meshunitsphere(tsize,maxvol) create the surface and/or volumetric mesh of a unit sphere centered at [0 0 0] and radius 1 input: tsize: maximum size of the surface triangles (from 0 to 1) maxvol: maximum volume of the tetrahedron; if one wants to return elem without specifying maxvol, maxvol=tsize^3 output: node: node coordinates, 3 columns for x, y and z respectively face: integer array with dimensions of NB x 3, each row represents a surface mesh face element elem: integer array with dimensions of NE x 4, each row represents a tetrahedron. If ignored, this function only produces the surface example: [node,face]=meshunitsphere(0.05); [node,face,elem]=meshunitsphere(0.05,0.01); plotmesh(node,elem,'x>0'); axis equal; ==== function [node,face,elem]=meshacylinder(c0,c1,r,tsize,maxvol,ndiv) ==== [node,face]=meshacylinder(c0,c1,r,tsize,maxvol,ndiv) or [node,face,elem]=meshacylinder(c0,c1,r,tsize,maxvol,ndiv) [nplc,fplc]=meshacylinder(c0,c1,r,0,0,ndiv); create the surface and (optionally) tetrahedral mesh of a 3D cylinder input: c0, c1: cylinder axis end points r: radius of the cylinder; if r contains two elements, it outputs a cone trunk, with each r value specifying the radius on each end tsize: maximum surface triangle size on the sphere maxvol: maximu volume of the tetrahedral elements if both tsize and maxvol is set to 0, this function sill return the piecewise-linear-complex (PLC) in the form of the nodes (as node) and a cell array (as face). ndiv: approximate the cylinder surface into ndiv flat pieces, if ignored, ndiv is set to 20 output: node: node coordinates, 3 columns for x, y and z respectively face: integer array with dimensions of NB x 3, each row represents a surface mesh triangle elem: (optional) integer array with dimensions of NE x 4, each row represents a tetrahedron ==== function [node,elem]=meshgrid5(varargin) ==== [node,elem]=meshgrid5(v1,v2,v3,...) mesh an ND rectangular lattice by splitting each hypercube into 5 tetrahedra inspired by John D'Errico URL: http://www.mathworks.com/matlabcentral/newsreader/view_thread/107191 input: v1,v2,v3,... - numeric vectors defining the lattice in each dimension. Each vector must be of length >= 1 output: node - factorial lattice created from (v1,v2,v3,...) Each row of this array is one node in the lattice elem - integer array defining simplexes as references to rows of "node". example: [node,elem]=meshgrid5(0:5,0:6,0:4); plotmesh(node,elem); ==== function [node,elem]=meshgrid6(varargin) ==== [node,elem]=meshgrid6(v1,v2,v3,...) mesh an ND rectangular lattice by splitting each hypercube into 6 tetrahedra author: John D'Errico URL: http://www.mathworks.com/matlabcentral/newsreader/view_thread/107191 input: v1,v2,v3,... - numeric vectors defining the lattice in each dimension. Each vector must be of length >= 1 output: node - factorial lattice created from (v1,v2,v3,...) Each row of this array is one node in the lattice elem - integer array defining simplexes as references to rows of "node". example: [node,elem]=meshgrid6(0:5,0:6,0:4); plotmesh(node,elem); ==== function [node,face,centroids]=latticegrid(varargin) ==== [node,face,centroids]=latticegrid(xrange,yrange,zrange,...) generate a 3D lattice input: xrange, yrange, zrange ...: 1D vectors specifying the range of each dimension of the lattice output: node: the vertices of the 3D lattice face: the list of cell faces of the lattice, including both internal and external facets. By default, face is in the form of a cell array, with each row representing a face. One can use cell2mat(face) to convert it to an array centroids: the centroids of each lattice cell example: % generate a 3D lattice [node,face,c0]=latticegrid([1 2 4],1:3,1:4); plotmesh(node,face) % mesh the 3D lattice based on the face info [no,el]=surf2mesh(node,face,[],[],1,0.01,c0); figure; plotmesh(no,el) % mesh a 2-layer structure using a simple lattice [node,face,c0]=latticegrid([0 10],[0 5],[0 3.5 4]); c0(:,4)=[0.01;0.001]; [no,el]=surf2mesh(node,face,[],[],1,[],c0); figure; plotmesh(no,el) ==== function [node,face,yz0,yz1]=extrudecurve(xy, yz, Nx, Nz, Nextrap, spacing, anchor, dotopbottom) ==== [node,face,yz0,yz1]=extrudecurve(xy, yz, Nx, Nz, Nextrap, spacing, anchor) create a triangular surface mesh by swining a 2D spline along another 2D spline curve input: xy: a 2D spline path, along which the surface is extruded, defined on the x-y plane yz: a 2D spline which will move along the path to form a surface, defined on the y-z plane Nx: the count of sample points along the extrusion path (xy), if ignored, it is 40 Nz: the count of sample points along the curve to be extruded (yz), if ignored, it is 40 Nextrap: number of points to extrapolate outside of the xy/yz curves, 0 if ignored spacing: define a spacing scaling factor for spline interpolations, 1 if ignored anchor: the 3D point in the extruded curve plane (yz) that is aligned at the nodes long the extrusion path. this point does not have to be located on the yz curve; orig = [ox oy oz], if ignored, it is set as the point on the interpolated yz with the largested y-value dotopbottom: a flag, if set to 1, tessellated top and bottom faces will be added. default is 0. output: node: 3D node coordinates for the generated surface mesh face: triangular face patches of the generated surface mesh, each row represents a triangle denoted by the indices of the 3 nodes ==== function [node,face,elem]=meshcylinders(c0, v, len, varargin) ==== [node,face]=meshcylinders(c0, v, len, r,tsize,maxvol,ndiv) or [node,face,elem]=meshacylinder(c0, v, len, r, tsize,maxvol,ndiv) [nplc,fplc]=meshacylinder(c0, v, len,r,0,0,ndiv); create the surface and (optionally) tetrahedral mesh of a 3D cylinder input: c0, cylinder list axis's starting point v: directional vector of the cylinder len: a scalar or a vector denoting the length of each cylinder segment along the direction of v tsize, maxvol, ndiv: please see the help for meshacylinder for details output: node, face, elem: please see the help for meshacylinder for details === # Mesh decomposition and query === ==== function facecell=finddisconnsurf(f) ==== facecell=finddisconnsurf(f) subroutine to extract disconnected surfaces from a cluster of surfaces Date: 2008/03/06 input: f: faces defined by node indices for all surface triangles output: facecell: separated disconnected surface node indices ==== function [openedge,elemid]=surfedge(f,varargin) ==== [openedge,elemid]=surfedge(f) find the edge of an open surface or surface of a volume input: f: input, surface face element list, dimension (be,3) output: openedge: list of edges of the specified surface elemid (optional): the corresponding index of the tetrahedron of an open-edge or triangle, elemid has the same length as openedge. ==== function varargout=volface(t) ==== [openface,elemid]=volface(t) find the surface patches of a volume input: t: input, volumetric element list, dimension (ne,4) output: openface: list of faces of the specified volume elemid (optional): the corresponding index of the tetrahedron of an open-edge or triangle, elemid has the same length as openedge. ==== function loops=extractloops(edges) ==== loops=extractloops(edges) extract individual loop or polyline segment from a collection of edges input: edges: two column matrix recording the starting/ending points of all edge segments output: loops: output, a single vector separated by NaN, each segment is a 3D polyline or loop consisted of node IDs example: edges=[1 2;2 3;1 4;3 4;7 3;1 9;5 6;6 7;10 9; 8 10;1 8;9 3;11 11;11 12]; loops=extractloops(edges) ==== function [conn,connnum,count]=meshconn(elem,nn) ==== [conn,connnum,count]=meshconn(elem,nn) create node neighbor list from a mesh input: elem: element table of a mesh nn : total node number of the mesh output: conn: output, a cell structure of length nn, conn{n} contains a list of all neighboring node ID for node n connnum: vector of length nn, denotes the neighbor number of each node count: total neighbor numbers ==== function centroid=meshcentroid(v,f) ==== centroid=meshcentroid(v,f) compute the centroids of a mesh defined by nodes and elements (surface or tetrahedra) in R^n space input: v: surface node list, dimension (nn,3) f: surface face element list, dimension (be,3) output: centroid: centroid positions, one row for each element ==== function nodevol=nodevolume(node,elem, evol) ==== nodevol=nodevolume(node,elem) calculate the volumes of the cells in the barycentric dual-mesh (this is different from the Voronoi cells, which blong to the circumcentric dual mesh) input: node: node coordinates elem: element table of a mesh output: nodevol: volume values for all nodes ==== function vol=elemvolume(node,elem,option) ==== vol=elemvolume(node,elem,option) calculate the volume for a list of simplexes input: node: node coordinates elem: element table of a mesh option: if option='signed', the volume is the raw determinant, else, the results will be the absolute values output: vol: volume values for all elements ==== function [conn,connnum,count]=neighborelem(elem,nn); ==== [conn,connnum,count]=neighborelem(elem,nn) create node neighbor list from a mesh input: elem: element table of a mesh nn : total node number of the mesh output: conn: output, a cell structure of length nn, conn{n} contains a list of all neighboring elem ID for node n connnum: vector of length nn, denotes the neighbor number of each node count: total neighbor numbers ==== function [face,labels]=layersurf(elem,varargin) ==== face=layersurf(elem, opt) or [face,labels]=layersurf(elem,'option1',value1,'option2',value2,...) process a multi-layered tetrahedral mesh, like a brain mesh, to extract the layer surface meshes with one enclosed by another input: elem: an Nx5 integer array, representing the tetrahedral mesh element list. The first 4 columns represent the tetrahedral element node indices; the last column represents tissue labels. opt: (optional) a struct or pairs of names/values to provide additional options; accepted options include 'order': ['>='] or '=', '<=' . if set to '>=' (default), the outmost layer has the lowest label count; if '<=', innermost is lowest; if '=', surface of each label is extracted individually - meaning that inner surfaces will have two duplicates 'innermost': [0] or an array of labels. The labels defined in this list will be treated as the innermost regions, and its boundary will be extracted using the '==' test (order='='). by default; label 0 is assumed to be innermost (i.e. nothing is enclosed inside). 'unique': [0] or 1. if 1, remove duplicated triangles; if 0, keep all triangles. 'occurence': ['first'] or 'last'. if 'first', the unique operator keeps a duplicated triangle with the lowest label number; otherwise, a repeated triange keeps the highest label number. output: vol: a 2-D or 3-D array of the same type/size of the input arrays. The label for each voxel is determined by the index to the highest value in TPM of the same voxel. If a voxel is a background voxel - i.e. zeros for all TPMs, it stays 0 names: a cell array storing the names of the labels (if input is a struct), the first string is the name for label 1, and so on ==== function facenb=faceneighbors(t,opt) ==== facenb=faceneighbors(t,opt) to find 4 face-neighboring elements of a tetrahedron input: t: tetrahedron element list, 4 columns of integers opt: if opt='surface', return boundary triangle list (should be the same as the face output from v2m) if opt='rowmajor', same as 'surface', except the order of the triangles are in the row-major order % otherwise, return the element list for each element: each row contains 4 numbers, representing the element indices sharing triangular faces [1 2 3],[1 2 4],[1 3 4] and [2 3 4] in order, where 1~4 is the node local index. if the index is 0, indicating the face has no neighbor (i.e. a boundary face) output: facenb: see opt ==== function edgenb=edgeneighbors(t,opt) ==== edgenb=edgeneighbors(t,opt) to find neighboring triangular elements in a triangule surface input: t: a triangular surface element list, 3 columns of integers opt: if opt='general', return the edge neighbors for a general triangular surface: each edge can be shared by more than 2 triangles; if ignored, we assume all triangles are shared by no more than 2 triangles. output: edgenb: if opt is not supplied, edgenb is a size(t,1) by 3 array with each element being the triangle ID of the edge neighbor of that triangle. For each row, the order of the neighbors is listed as those sharing edges [1 2], [2 3] and [3 1] between the triangle nodes. when opt='general', edgenb is a cell array with a length of size(t). each member of the cell array is a list of edge neighbors (the order is not defined). ==== function [f maxsize]=maxsurf(facecell,node) ==== [f maxsize]=maxsurf(facecell,node) return the surface with the maximum element number or total area from a cell arry of surfaces input: facecell: a cell array, each element is a face array node: optional, node list, if given, the output is the surface with the largest surface area. output: f: the surface data (node indices) for the surface with the most elements (or largest area when node is given) maxsize: if node is not given, maxisize is row number of f; otherwise, maxsize is the total area of f ==== function mask=flatsegment(node,edge) ==== mask=flatsegment(node,edge) decompose edge loops into flat segments alone arbitrary planes of the bounding box this code is fragile: it can not handle curves with many co-linear nodes near the corner point input: node: x,y,z coordinates of each node of the mesh edge: input, a single vector separated by NaN, each segment is a close-polygon consisted by node IDs output: mask: output, a cell, each element is a close-polygon on x/y/z plane ==== function newedge=orderloopedge(edge) ==== [newedge]=orderloopedge(edge) order the node list of a simple loop based on connection sequence input: edge: a loop consisted by a sequence of edges, each row is an edge with two integers: start/end node index output: newedge: reordered edge node list ==== function [X,V,E,F]=mesheuler(face) ==== [X,V,E,F]=mesheuler(face) Euler's charastistics of a mesh input: face: a closed surface mesh output: X: Euler's charastistics V: number of vertices E: number of edges F: number of faces ==== function seg=bbxflatsegment(node,loop) ==== seg=bbxflatsegment(node,loop) decompose edge loops into flat segments along the x/y/z planes of the bounding box input: node: x,y,z coordinates of each node of the mesh loop: input, a single vector separated by NaN, each segment is a close-polygon consisted by node IDs output: seg: output, a single vector separated by NaN, each segment is a close-polygon on x/y/z plane ==== function plane=surfplane(node,face) ==== plane=surfplane(node,face) plane equation coefficients for each face in a surface input: node: a list of node coordinates (nn x 3) face: a surface mesh triangle list (ne x 3) output: plane: a (ne x 4) array, in each row, it has [a b c d] to denote the plane equation as "a*x+b*y+c*z+d=0" ==== function [pt,p0,v0,t,idx]=surfinterior(node,face) ==== [pt,p0,v0,t,idx]=surfinterior(node,face) identify a point that is enclosed by the (closed) surface input: node: a list of node coordinates (nn x 3) face: a surface mesh triangle list (ne x 3) output: pt: the interior point coordinates [x y z] p0: ray origin used to determine the interior point v0: the vector used to determine the interior point t : ray-tracing intersection distances (with signs) from p0. the intersection coordinates can be expressed as p0+t(i)*v0 idx: index to the face elements that intersect with the ray, order match that of t ==== function elist=surfpart(f,loopedge) ==== elist=surfpart(f,loopedge) partition a triangular surface using a closed loop defined by existing edges input: f: input, surface face element list, dimension (be,3) loopedge: a 2-column array, specifying a closed loop in CCW order output: elist: list of triangles that is enclosed by the loop ==== function seeds=surfseeds(node,face) ==== seeds=surfseeds(node,face) calculate a set of interior points with each enclosed by a closed component of a surface input: node: a list of node coordinates (nn x 3) face: a surface mesh triangle list (ne x 3) output: seeds: the interior points coordinates for each closed-surface component ==== function quality=meshquality(node,elem,maxnode) ==== quality=meshquality(node,elem) compute the Joe-Liu mesh quality measure of an N-D mesh (N<=3) input: node: node coordinates of the mesh (nn x 3) elem: element table of an N-D mesh (ne x (N+1)) output: quality: a vector of the same length as size(elem,1), with each element being the Joe-Liu mesh quality metric (0-1) of the corresponding element. A value close to 1 represents higher mesh quality (1 means equilateral tetrahedron); a value close to 0 means nearly degenerated element. reference: A. Liu, B. Joe, Relationship between tetrahedron shape measures, BIT 34 (2) (1994) 268-287. ==== function edges=meshedge(elem,varargin) ==== edges=meshedge(elem,opt) return all edges in a surface or volumetric mesh input: elem: element table of a mesh (support N-d space element) opt: optional input, giving the additional options. If opt is a struct, it can have the following field: opt.nodeorder: if 1, assuming the elem node indices is in CCW orientation; 0 use nchoosek() output to order edges you can replace opt by a series of ('param', value) pairs. output: edge: edge list; each row is an edge, specified by the starting and ending node indices, the total edge number is size(elem,1) x nchoosek(size(elem,2),2). All edges are ordered by looping through each element first. ==== function faces=meshface(elem,varargin) ==== faces=meshface(elem,opt) return all faces in a surface or volumetric mesh input: elem: element table of a mesh (support N-d space element) opt: optional input, giving the additional options. If opt is a struct, it can have the following field: opt.nodeorder: if 1, assuming the elem node indices is in CCW orientation; 0 use nchoosek() output to order faces you can replace opt by a series of ('param', value) pairs. output: face: face list; each row is an face, specified by the starting and ending node indices, the total face number is size(elem,1) x nchoosek(size(elem,2),2). All faces are ordered by looping through each element first. ==== function snorm=surfacenorm(node,face,varargin) ==== snorm=surfacenorm(node,face) or snorm=surfacenorm(node,face,'Normalize',0) compute the normal vectors for a triangular surface input: node: a list of node coordinates (nn x 3) face: a surface mesh triangle list (ne x 3) opt: a list of optional parameters, currently surfacenorm supports: 'Normalize': [1|0] if set to 1, the normal vectors will be unitary (default) output: snorm: output surface normal vector at each face ==== function nv=nodesurfnorm(node,elem) ==== nv=nodesurfnorm(node,elem) calculate a nodal norm for each vertix on a surface mesh (surface can only be triangular or cubic) parameters: node: node coordinate of the surface mesh (nn x 3) elem: element list of the surface mesh (3 columns for triangular mesh, 4 columns for cubic surface mesh) pt: points to be projected, 3 columns for x,y and z respectively outputs: nv: nodal norms (vector) calculated from nodesurfnorm.m with dimensions of (size(v,1),3) Please find more information at http://iso2mesh.sf.net/cgi-bin/index.cgi?metch ==== function [edges,idx,edgemap]=uniqedges(elem) ==== [edges,idx,edgemap]=uniqedges(elem) return the unique edge list from a surface or tetrahedral mesh input: elem: a list of elements, each row is a list of nodes for an element. elem can have 2, 3 or 4 columns output: edge: unique edges in the mesh, denoted by a pair of node indices idx: index of the output in the raw edge list (returned by meshedge) edgemap: index of the raw edges in the output list (for triangular mesh) ==== function [faces,idx,facemap]=uniqfaces(elem) ==== [faces,idx,facemap]=uniqfaces(elem) return the unique face list from a or tetrahedral mesh input: elem: a list of elements, each row is a list of nodes for an element. elem can have 2, 3 or 4 columns output: face: unique faces in the mesh, denoted by a triplet of node indices idx: index of the output in the raw face list (returned by meshface) facemap: index of the raw faces in the output list (for triangular mesh) ==== function [elist,nextfront]=advancefront(edges,loop,elen) ==== [elist,nextfront]=advancefront(edges,loop,elen) advance an edge-front on an oriented surface to the next separated by one-element width input: edges: edge list of an oriented surface mesh, must be in CCW order loop: a 2-column array, specifying a closed loop in CCW order elen: node number inside each element, if ignored, elen is set to 3 output: elist: list of triangles that is enclosed between the two edge-fronts nextfront: a new edge loop list representing the next edge-front ==== function [inface, outface]=innersurf(node,face,outface) ==== outface=innersurf(node,face,outface) extract the interior triangles (shared by two enclosed compartments) of a complex surface input: node: node coordinates face: surface triangle list outface: (optional) the exterior triangle list, if not given, will be computed using outersurf(). output: inface: the collection of interior triangles of the surface mesh ==== function outface=outersurf(node,face) ==== outface=outersurf(node,face) extract the out-most shell of a complex surface mesh input: node: node coordinates face: surface triangle list output: outface: the out-most shell of the surface mesh ==== function vol=surfvolume(node,face,option) ==== vol=surfvolume(node,face,option) calculate the enclosed volume for a closed surface input: node: node coordinates face: surface triangle list output: vol: total volume of the enclosed space ==== function tf=insurface(node,face,points) ==== tf=innersurf(node,face,points) test if a set of 3D points is located inside a 3D triangular surface input: node: node coordinates face: surface triangle list points: a set of 3D points (Nx3 array) output: tf: a vector with the same length of points, a value of 1 means the point is inside of the surface, and a value of 0 means the point is outside of the surface. === # Mesh processing and reparing === ==== function [node,elem]=meshcheckrepair(node,elem,opt,varargin) ==== [node,elem]=meshcheckrepair(node,elem,opt) check and repair a surface mesh input/output: node: input/output, surface node list, dimension (nn,3) elem: input/output, surface face element list, dimension (be,3) opt: options, including 'dupnode': remove duplicated nodes 'dupelem' or 'duplicated': remove duplicated elements 'dup': both above 'isolated': remove isolated nodes 'open': abort when open surface is found 'deep': call external jmeshlib to remove non-manifold vertices 'meshfix': repair a closed surface by the meshfix utility (new) it can remove self-intersecting elements and fill holes 'intersect': test a surface for self-intersecting elements ==== function [newelem, evol]=meshreorient(node,elem) ==== [newelem, evol]=meshreorient(node,elem) reorder nodes in a surface or tetrahedral mesh to ensure all elements are oriented consistently input: node: list of nodes elem: list of elements (each row are indices of nodes of each element) output: newelem: the element list with consistent ordering evol: the signed element volume before reorientation ==== function elem=removedupelem(elem) ==== elem=removedupelem(elem) remove doubly duplicated (folded) elements input: elem: list of elements (node indices) output: elem: element list after removing the duplicated elements ==== function [newnode,newelem]=removedupnodes(node,elem,tol) ==== [newnode,newelem]=removedupnodes(node,elem) removing the duplicated nodes from a mesh input: elem: integer array with dimensions of NE x 4, each row contains the indices of all the nodes for each tetrahedron node: node coordinates, 3 columns for x, y and z respectively output: newnode: nodes without duplicates newelem: elements with only the unique nodes ==== function [no,el]=removeisolatednode(node,elem) ==== [no,el]=removeisolatednode(node,elem) remove isolated nodes: nodes that are not included in any element input: node: list of node coordinates elem: list of elements of the mesh, can be a regular array or a cell array for PLCs output: no: node coordinates after removing the isolated nodes el: element list of the resulting mesh ==== function fnew=removeisolatedsurf(v,f,maxdiameter) ==== fnew=removeisolatedsurf(v,f,maxdiameter) remove disjointed surface fragment filtered by using mesh diameter input: v: list of nodes of the input surface f: list of triangles of the input surface maxdiameter: maximum bounding box size for surface removal ouput: fnew: new face list after removing the components smaller than maxdiameter ==== function f=surfaceclean(f,v) ==== f=surfaceclean(f,v) remove surface patches that are located inside the bounding box faces input: v: surface node list, dimension (nn,3) f: surface face element list, dimension (be,3) output: f: faces free of those on the bounding box ==== function eid=getintersecttri(tmppath) ==== eid=getintersecttri(tmppath) get the IDs of self-intersecting elements from tetgen call this when tetgen complains about self-intersection input: tmppath: working dir, use mwpath('') in most cases output: eid: an array of all intersecting surface elements, one can read the corresponding node/elem by [no,el]=readoff(mwpath('post_vmesh.off')); ==== function elem=delendelem(elem,mask) ==== elem=delendelem(elem,mask) delete elements whose nodes are all edge nodes input/output: elem: input/output, surface/volumetric element list mask: of length of node number, =0 for internal nodes, =1 for edge nodes ==== function [newnode,newface]=surfreorient(node,face) ==== [newnode,newface]=surfreorient(node,elem) reorder nodes in a single closed surface to ensure the norms of all triangles are pointing outward input: node: list of nodes face: list of surface triangles (each row are indices of nodes of each triangle) output: newnode: the output node list, in most cases it equals node newface: the face list with consistent ordering === # Mesh registration - Metch Toolbox === ==== function [newpt elemid weight]=proj2mesh(v,f,pt,nv,cn,radmax) ==== [newpt elemid weight]=proj2mesh(v,f,pt,nv,cn) project a point cloud on to the surface mesh (surface can only be triangular) parameters: v: node coordinate of the surface mesh (nn x 3) f: element list of the surface mesh (3 columns for triangular mesh, 4 columns for cubic surface mesh) pt: points to be projected, 3 columns for x,y and z respectively nv: nodal norms (vector) calculated from nodesurfnorm.m with dimensions of (size(v,1),3) cn: a integer vector with the length of p, denoting the closest surface nodes (indices of v) for each point in p. this value can be calculated from dist2surf.m radmax: if speicified, the search for elements to project will be limited to those within a bounding box with half-edge-length of radmax centered at the point to be projected if nv and cn are not supplied, proj2mesh will project the point cloud onto the surface by the direction pointing to the centroid of the mesh outputs: newpt: the projected points from p elemid: a vector of length of p, denotes which surface trangle (in elem) contains the projected point weight: the barycentric coordinate for each projected points, these are the weights Please find more information at http://iso2mesh.sf.net/cgi-bin/index.cgi?metch ==== function [d2surf,cn]=dist2surf(node,nv,p,cn) ==== [d2surf,cn]=dist2surf(node,nv,p) calculate the distances from a point cloud to a surface, and return the indices of the closest surface node parameters: node: node coordinate of the surface mesh (nn x 3) nv: nodal norms (vector) calculated from nodesurfnorm.m with dimensions of (size(node,1),3), this can be calcuated from nodesurfnorm.m pt: points to be calculated, 3 columns for x,y and z respectively outputs: d2surf: a vector of length of p, the distances from p(i) to the surface cn: a integer vector with the length of p, the indices of the closest surface node Please find more information at http://iso2mesh.sf.net/cgi-bin/index.cgi?metch ==== function [A,b,newpos]=regpt2surf(node,elem,p,pmask,A0,b0,cmask,maxiter) ==== [A,b,newpos]=regpt2surf(node,elem,p,pmask,A0,b0,cmask,maxiter) Perform point cloud registration to a triangular surface (surface can be either triangular or cubic), Gauss-Newton method is used for the calculation parameters: node: node coordinate of the surface mesh (nn x 3) elem: element list of the surface mesh (3 columns for triangular mesh, 4 columns for cubic surface mesh) p: points to be registered, 3 columns for x,y and z respectively pmask: a mask vector with the same length as p, determines the method to handle the point, if pmask(i)=-1, the point is a free node and can be move by the optimization, if pmask(i)=0, the point is fixed; if pmask(i)=n>0, the distance between p(i,:) and node(n,:) will be part of the object function and be optimized A0: a 3x3 matrix, as the initial guess for the affine A matrix (rotation&scaling) b0: a 3x1 vector, as the initial guess for the affine b vector (translation) cmask: a binary 12x1 vector, determines which element of [A(:);b] will be optimized if cmask(i)=0, the corresponding coefficient will not be updated maxiter: a integer, specifying the optimization iterations outputs: A: 3x3 matrix, the updated affine A matrix b: 3x1 vector, the updated affine b vector newpos: the registered positions for p, newpos=A*p'+b Please find more information at http://iso2mesh.sf.net/cgi-bin/index.cgi?metch ==== function [A,b]=affinemap(pfrom,pto) ==== [A,b]=affinemap(pfrom,pto) calculate an affine transform (A matrix and b vector) to map n vertices from one space to the other using least square solutions parameters: pfrom: nx3 matrix, each row is a 3d point in original space pto: nx3 matrix, each row is a 3d point in the mapped space outputs: A: 3x3 matrix, the calculated affine A matrix b: 3x1 vector, the calculated affine b vector the solution will satisfy the following equation: A*pfrom'+b=pto Please find more information at http://iso2mesh.sf.net/cgi-bin/index.cgi?metch ==== function varargout = metchgui(varargin) ==== alldata = metchgui(node,elem,points,pface) or metchgui(volume,points,pface) A GUI to register a point cloud to a mesh or volumetric image parameters: node: node coordinate of the surface mesh (nn x 3) elem: element list of the surface mesh (3 columns for triangular mesh, 4 columns for cubic surface mesh) points: the coordinates (3 columns for x/y/z) of the point cloud which you want to register pface:trianglular surface defined on the point cloud. pface is optional; if presents, metch will display a surface object instead of a point cloud. the input can also be two parameters in form of metchgui(volume,points), where volume is a 3D image (array). outputs: alldata: a structrure containing all processing outputs the fields include: .node: the input node .elem: the input surface mesh elements .volume: if the input volumetric image .A0: the affine rotation for selected point pairs (after Initialize) .b0: the affine translation for selected point pairs (after Initialize) .A: the affine rotation for the point cloud (after Optimize) .b: the affine translation for the point cloud (after Optimize) .points: the input point cloud .pointsinit: the point cloud after initialization .pointsopt: the point cloud after optimization .pointsproj: the point cloud after projecting to the surface .initplot: the handle to the point cloud plot after init .optplot: the handle to the point cloud plot after optimization .projplot: the handle to the point cloud plot after projection If user supplys an output variable, the GUI will not return until the user hits the "close" button or close the window; if user does not supply any output, the call will return immediately; any data user intends to save, he has to click on "Save Session" button and provides a mat-file file name. A single structure named "metchsession" will be stored in this file. example: (meshasphere/meshunitsphere are defined in iso2mesh http://iso2mesh.sf.net) [noderef,faceref,elemref]=meshunitsphere(0.08,10); [no,fc]=removeisolatednode(noderef(:,1:3),faceref(:,1:3)); [node,face,elem]=meshasphere([10 20 15],3,0.5,10); [no2,fc2]=removeisolatednode(node(:,1:3),face(:,1:3)); alldata = metchgui(no,fc,no2); % or alldata = metchgui(no,fc,no2,fc2); Please find more information at http://iso2mesh.sf.net/cgi-bin/index.cgi?metch ==== function varargout = metchgui_one(varargin) ==== alldata = metchgui_one(node,elem,points) or metchgui_one(volume,points,pface) A GUI to register a point cloud to a mesh or volumetric image parameters: node: node coordinate of the surface mesh (nn x 3) elem: element list of the surface mesh (3 columns for triangular mesh, 4 columns for cubic surface mesh) points: the coordinates (3 columns for x/y/z) of the point cloud which you want to register pface:trianglular surface defined on the point cloud. pface is optional; if presents, metch will display a surface object instead of a point cloud. the input can also be two parameters in form of metchgui_one(volume,points), where volume is a 3D image (array). outputs: alldata: a structrure containing all processing outputs the fields include: .node: the input node .elem: the input surface mesh elements .volume: if the input volumetric image .A0: the affine rotation for selected point pairs (after Initialize) .b0: the affine translation for selected point pairs (after Initialize) .A: the affine rotation for the point cloud (after Optimize) .b: the affine translation for the point cloud (after Optimize) .points: the input point cloud .pointsinit: the point cloud after initialization .pointsopt: the point cloud after optimization .pointsproj: the point cloud after projecting to the surface .initplot: the handle to the point cloud plot after init .optplot: the handle to the point cloud plot after optimization .projplot: the handle to the point cloud plot after projection If user supplys an output variable, the GUI will not return until the user hits the "close" button or close the window; if user does not supply any output, the call will return immediately; any data user intends to save, he has to click on "Save Session" button and provides a mat-file file name. A single structure named "metchsession" will be stored in this file. example: (meshasphere/meshunitsphere are defined in iso2mesh http://iso2mesh.sf.net) [noderef,faceref,elemref]=meshunitsphere(0.08,10); [no,fc]=removeisolatednode(noderef(:,1:3),faceref(:,1:3)); [node,face,elem]=meshasphere([10 20 15],3,0.5,10); [no2,fc2]=removeisolatednode(node(:,1:3),face(:,1:3)); alldata = metchgui(no,fc,no2); % or alldata = metchgui(no,fc,no2,fc2); Please find more information at http://iso2mesh.sf.net/cgi-bin/index.cgi?metch === # Polyline handling === ==== function [bcutpos, bcutloop, bcutvalue]=slicesurf(node, face, varargin) ==== [bcutpos, bcutloop]=slicesurf(node, face, varargin) Slice a closed surface by a plane and extract the intersection curve as a polyline loop input: node: an N x 3 array defining the 3-D positions of the mesh face: an N x 3 interger array specifying the surface triangle indices; output: bcutpos: the nodes on the intersection curve bcutloop: the sequential order of the nodes to form a polyline loop; the last node is assumed to be connected to the first node; an nan indicates the end of a loop; the intersection may contain multiple loops; if only bcutpos is returned, the nodes will be made in sequential order. ==== function [leftpt,leftcurve,rightpt,rightcurve]=slicesurf3(node,elem,p1,p2,p3,step,minangle) ==== [leftpt,leftcurve,rightpt,rightcurve]=slicesurf3(node,elem,p1,p2,p3,step,minangle) Slice a closed surface by a plane and extract the landmark nodes along the intersection between p1 and p3, then output into 2 segments: between p2 to p1 (left half), and p2 to p3 (right half) input: node: an N x 3 array defining the 3-D positions of the mesh elem: an N x 3 interger array specifying the surface triangle indices; p1: 3D position of the start on the curve-of-interest p2: 3D position of the middle on the curve-of-interest p3: 3D position of the end on the curve-of-interest step: (optional) a percentage (0-100) specifying the spacing of the output landmark nodes; step=20 means the landmarks on the left curve are spaced as 20% of the total lengths of the left-half, and those on the right-curve are spaced at 20% of the right-half, starting from p2. minangle: (optional) a positive minangle will ask this function to call polylinesimplify to remove sharp turns on the curve. output: leftpt: the equal-spaced landmark nodes on the left-half (p2-p1) intersection curve; spacing between these nodes are (step% * length of the curve between p2-p1) leftcurve: all nodes on the left-half (p2-p1) intersection curve rightpt: the equal-spaced landmark nodes on the right-half (p2-p3) intersection curve; spacing between these nodes are (step% * length of the curve between p2-p3) rightcurve: all nodes on the left-half (p2-p1) intersection curve ==== function [len, node]=polylinelen(node, p0, p1, pmid) ==== [len, node]=polylinelen(node, p0, p1) Calculate the polyline line segment length vector in sequential order input: node: an N x 3 array defining each vertex of the polyline in sequential order p0:(optional) a given node to define the start of the polyline, if not defined, start position is assumed to be 1st node p1:(optional) a given node to define the end of the polyline, if not defined, end position is assumed to be last node pmid:(optional) a given node sits between p0 and p1, if not defined, index of the middle (floored) node is used output: len: the length of each segment between the start and the end points node: the node list between the start and end points of the polyline ==== function [newnodes, len]=polylinesimplify(nodes, minangle) ==== [newnodes, len]=polylinesimplify(nodes, minangle) Calculate a simplified polyline by removing nodes where two adjacent segment have an angle less than a specified limit input: node: an N x 3 array defining each vertex of the polyline in sequential order minangle:(optional) minimum segment angle in radian, if not given, use 0.75*pi output: newnodes: the updated node list; start/end will not be removed len: the length of each segment between the start and the end points ==== function [idx, weight, newnodes]=polylineinterp(polylen, len, nodes) ==== [idx, weight]=polylineinterp(polylen, len) [idx, weight, newnodes]=polylineinterp(polylen, len, nodes) Find the polyline segment indices and interpolation weights for a specified total length or a set of lengths input: polylen: a 1D vector sequentially recording the length of each segment of a polyline, the first number is the length of the 1st segment, and so on len: a single scalar, or a vector of scalars, specifying the total length nodes: if nodes is an array with a row-number equal to length(polylen)+1, we assume each row defines a coordinate for the nodes along the polyline output: idx: the indices of the polyline segments, starting from 1, where each length defined in len ends; if len> sum(polylen), nan is returned; if len<0, the weight will be a negative value. weight: the interpolation weight between 0-1 towards the end node of the containing segment; the weight for the start-node is 1-weight newnodes: the interpolated node positions at the end of the len example: lineseg=[2,2,1,7,10]; [idx, weight]=polylineinterp(lineseg, [3, 12, 7]) ==== function [idx, dist]=closestnode(node,p) ==== [idx, dist]=closestnode(node,p) Find the closest point in a node list and return its index input: node: each row is an N-D node coordinate p: a given position in the same space output: idx: the index of the position in the node list that has the shortest Euclidean distance to the position p dist: the distances between p and each node === # Mesh resampling and optimization === ==== function [node,elem]=meshresample(v,f,keepratio) ==== [node,elem]=meshresample(v,f,keepratio) resample mesh using CGAL mesh simplification utility input: v: list of nodes f: list of surface elements (each row for each triangle) keepratio: decimation rate, a number less than 1, as the percentage of the elements after the sampling output: node: the node coordinates of the sampled surface mesh elem: the element list of the sampled surface mesh ==== function [newno,newfc]=remeshsurf(node,face,opt) ==== [newno,newfc]=remeshsurf(node,face,opt) remesh a triangular surface and the output is guaranteed to be free of self-intersecting element. This function is similar to meshresample, but it can both downsample or upsample a mesh input: node: list of nodes on the input suface mesh, 3 columns for x,y,z face: list of trianglular elements on the surface, [n1,n2,n3,region_id] opt: function parameters opt.gridsize: resolution for the voxelization of the mesh opt.closesize: if there are openings, set the closing diameter opt.elemsize: the size of the element of the output surface if opt is a scalar, it defines the elemsize and gridsize=opt/4 output: newno: list of nodes on the resulting suface mesh, 3 columns for x,y,z newfc: list of trianglular elements on the surface, [n1,n2,n3,region_id] ==== function p=smoothsurf(node,mask,conn,iter,useralpha,usermethod,userbeta) ==== p=smoothsurf(node,mask,conn,iter,useralpha,usermethod,userbeta) smoothing a surface mesh input: node: node coordinates of a surface mesh mask: flag whether a node is movable: 0 movable, 1 non-movable if mask=[], it assumes all nodes are movable conn: input, a cell structure of length size(node), conn{n} contains a list of all neighboring node ID for node n, this can be computed from meshconn function iter: smoothing iteration number useralpha: scaler, smoothing parameter, v(k+1)=(1-alpha)*v(k)+alpha*mean(neighbors) usermethod: smoothing method, including 'laplacian','laplacianhc' and 'lowpass' userbeta: scaler, smoothing parameter, for 'laplacianhc' output: p: output, the smoothed node coordinates recommendations Based on [Bade2006], 'Lowpass' method outperforms 'Laplacian-HC' in volume preserving and both are significantly better than the standard Laplacian method [Bade2006] R. Bade, H. Haase, B. Preim, "Comparison of Fundamental Mesh Smoothing Algorithms for Medical Surface Models," Simulation and Visualization, pp. 289-304, 2006. ==== function [no,el,fc,nodemap]=sortmesh(origin,node,elem,ecol,face,fcol) ==== [no,el,fc]=sortmesh(origin,node,elem,face) sort nodes and elements in a mesh so that the indexed nodes and elements are closer to each order (this may reduce cache-miss in a calculation) input: origin: sorting all nodes and elements with the distance and angles wrt this location, if origin=[], it will be node(1,:) node: list of nodes elem: list of elements (each row are indices of nodes of each element) ecol: list of columns in elem to participate sorting face: list of surface triangles (this can be omitted) fcol: list of columns in face to participate sorting output: no: node coordinates in the sorted order el: the element list in the sorted order fc: the surface triangle list in the sorted order (can be ignored) nodemap: the new node mapping order, no=node(nodemap,:) ==== function [newnode,newelem]=mergemesh(node,elem,varargin) ==== [newnode,newelem]=mergemesh(node,elem,varargin) concatenate two or more tetrahedral meshes or triangular surfaces input: node: node coordinates, dimension (nn,3) elem: tetrahedral element or triangle surface (nn,3) to (nn,5) output: newnode: the node coordinates after merging, dimension (nn,3) newelem: tetrahedral element or surfaces after merging (nn,4) or (nhn,5) note: you can call meshcheckrepair for the output newnode and newelem to remove the duplicated nodes or elements. mergemesh does detect self-intersecting elements when merging; to remove self-intersecting elements, you need to use mergesurf(). example: [node1,face1,elem1]=meshabox([0 0 0],[10 10 10],1,1); [node2,face2,elem2]=meshasphere([5 5 13.1],3,0.3,3); [newnode,newelem]=mergemesh(node1,elem1,node2,elem2); plotmesh(newnode,newelem); figure; [newnode,newface]=mergemesh(node1,face1,node2,face2); plotmesh(newnode,newface,'x>5'); ==== function [newnode,newelem,newface]=meshrefine(node,elem,varargin) ==== [newnode,newelem,newface]=meshrefine(node,elem,face,opt) refine a tetrahedral mesh by adding new nodes or constraints input parameters: node: existing tetrahedral mesh node list elem: existing tetrahedral element list face: (optional) existing tetrahedral mesh surface triangle list opt: options for mesh refinement: if opt is a Nx3 array, opt is treated as a list of new nodes to be inserted into the mesh. the new nodes must be located on the surface or inside the original mesh. external nodes are discarded, unless the opt.extcmdopt is specified. if opt is a vector with a length that equals to that of node, it will be used to specify the desired edge-length at each node; setting a node value to 0 will by-pass the refinement at this node if opt is a vector with a length that equals to that of elem, it will be used as the desired maximum element volume of each tetrahedron; setting to 0 will by-pass the refinement of that element. if opt is a struct, it can have the following fields: opt.newnode: same as setting opt to an Nx3 array opt.reratio: radius-edge ratio, by default, iso2mesh uses 1.414 opt.maxvol: maximum element volume opt.sizefield: a vector specifying either the desired edge-length at each node, or the maximum volume constraint within each tetrahedron, see above for details. opt.extcmdopt: by default, meshrefine can only insert nodes that are inside the original mesh. if one prefers to insert nodes that are outside of the original mesh, one can define this parameter to specify the meshing option (for tetgen) for the extended domain, i.e. the convex hull including both the original and the external nodes. If not defined, '-Y' option is used by default (prevent tetgen from inserting new nodes on the surface). opt.extlabel: when external nodes are inserted, the new elements will be assigned with an element label to group them together, by default, this label is 0, unless opt.extlabel is given opt.extcorelabel: when external nodes are inserted, par of the new elements share the polyhedra between the inserted nodes, these special elements will be marked by opt.extcorelabel, otherwise the label will be set to -1 outputs: newnode: node coordinates of the tetrahedral mesh newelem: element list of the tetrahedral mesh newface: mesh surface element list of the tetrahedral mesh the last column denotes the boundary ID examples: [node,face,elem]=meshasphere([0 0 0],24,1,2); elem(:,5)=1; % inserting nodes that are inside the original mesh innernodes=double([1 1 1; 2 2 2; 3 3 3]); [newno,newel]=meshrefine(node,elem,innernodes); all(ismember(round(innernodes*1e10)*1e-10,round(newno*1e10)*1e-10,'rows')) plotmesh(newno,[],newel,'x>-3') % inserting nodes that are external to the original mesh extnodes=double([-5 -5 25;-5 5 25;5 5 25;5 -5 25]); [newno,newel]=meshrefine(node,elem,struct('newnode',extnodes,'extcmdopt','-Y')); figure; plotmesh(newno,[],newel,'x>-3') ==== function [newnode,newelem]=mergesurf(node,elem,varargin) ==== [newnode,newelem]=mergesurf(node1,elem1,node2,elem2,...) merge two or more triangular meshes and split intersecting elements input: node: node coordinates, dimension (nn,3) elem: tetrahedral element or triangle surface (nn,3) output: newnode: the node coordinates after merging, dimension (nn,3) newelem: tetrahedral element or surfaces after merging (nn,4) or (nhn,5) note: you can call meshcheckrepair for the output newnode and newelem to remove the duplicated nodes or elements example: [node1,face1,elem1]=meshabox([0 0 0],[10 10 10],1,1); [node2,face2,elem2]=meshasphere([5 5 10],3,0.3,3); [newnode,newface]=mergesurf(node1,face1,node2,face2); plotmesh(newnode,newface,'x>5'); ==== function [newnode,newelem,newelem0]=surfboolean(node,elem,varargin) ==== [newnode,newelem,newelem0]=surfboolean(node1,elem1,op2,node2,elem2,op3,node3,elem3,...) merge two or more triangular meshes and resolve intersecting elements input: node: node coordinates, dimension (nn,3) elem: triangle surfaces (ne,3) op: a string of a boolean operator, possible op values include 'union' or 'or': the outter surface of the union of the enclosed space 'inter' or 'and': the surface of the domain contained by both meshes 'diff' or '-': the surface of the domain in mesh 1 excluding that of mesh 2 'all' or 'xor' or '+': the output contains 4 subsurfaces, identified by the 4th column of newelem: 1: mesh 1 outside of mesh 2 2: mesh 2 outside of mesh 1 3: mesh 1 inside of mesh 2 4: mesh 2 inside of mesh 1 you can use newelem(find(mod(newelem(:,4),2)==1),:) to get mesh 1 cut by mesh 2, or newelem(find(mod(newelem(:,4),2)==0),:) to get mesh 2 cut by mesh 1; 'first': combine 1 and 3 from the output of 'all' 'second': combine 2 and 4 from the output of 'all' 'self': test for self-intersections; only the first mesh is tested; other inputs are ignored. 'decouple': separate two shells and make sure there is no intersection; the input surfaces must be closed and ordered from outer to inner output: newnode: the node coordinates after boolean operations, dimension (nn,3) newelem: tetrahedral element or surfaces after boolean operations (nn,4) or (nhn,5) newelem0: when the operator is 'self', return the intersecting element list in terms of the input node list (experimental) example: [node1,face1,elem1]=meshabox([0 0 0],[10 10 10],1,1); [node2,face2,elem2]=meshabox([0 0 0]+5,[10 10 10]+5,1,1); [newnode,newface]=surfboolean(node1,face1,'union',node2,face2); plotmesh(newnode,newface); figure; [newnode,newface]=surfboolean(node1,face1,'diff',node2,face2); plotmesh(newnode,newface,'x>5'); ==== function [no,el]=fillsurf(node,face) ==== [no,el]=fillsurf(node,face) calculate the enclosed volume for a closed surface input: node: node coordinates face: surface triangle list output: vol: total volume of the enclosed space ==== function [newnode,newelem]=highordertet(node,elem,order) ==== [newnode,newelem]=highordertet(node,elem) generate high-order straight-edge tetrahedral mesh from the 1st order tetrahedral mesh input: node: list of nodes elem: list of elements (each row are indices of nodes of each element) order: optional, the order of the generated mesh; if missing, order=2 output: newnode: all new edge-nodes on the output mesh newelem: the indices of the edge nodes for each original tet element currently, this function only supports order=2 to combine the newnode/newelem with the old mesh, one should use elemfull=[elem(:,1:4) newelem+size(node,1)]; % 10-node element nodefull=[node;newnode]; ==== function [newnode,newelem]=elemfacecenter(node,elem) ==== [newnode,newelem]=elemfacecenter(node,elem) generate barycentric dual-mesh face center nodes and indices per element very similar to highordertet which finds edge-centers instead of face-centers input: node: list of nodes elem: list of elements (each row are indices of nodes of each element) output: newnode: all new face-nodes on the output mesh newelem: the indices of the face nodes for each original tet element to combine the newnode/newelem with the old mesh, one should use elemfull=[elem(:,1:4) newelem+size(node,1)]; nodefull=[node;newnode]; ==== function [newnode,newelem]=barydualmesh(node,elem,flag) ==== [newnode,newelem]=barydualmesh(node,elem) generate barycentric dual-mesh by connecting edge, face and elem centers input: node: list of input mesh nodes elem: list of input mesh elements (each row are indices of nodes of each element) flag: if is 'cell', output newelem as cell arrays (each has 1x4 nodes) output: newnode: all new nodes in the barycentric dual-mesh (made of edge/face/elem centers) newelem: the indices of the face nodes for each original tet element example: [node,elem]=meshgrid6([0 60],[0 60],[0 60]); [newnode,newelem]=barydualmesh(node,elem,'cell'); plotmesh(newnode,newelem); hold on; plotmesh(node,[],elem,'facecolor','none','edgecolor','b') ==== function newval=meshinterp(fromval,elemid,elembary,fromelem) ==== newval=meshinterp(fromval,elemid,elembary,fromelem) Interpolate nodal values from the source mesh to the target mesh based on a linear interpolation input: fromval: values defined at the source mesh nodes, the row or column number must be the same as the source mesh node number, which is the same as the elemid length elemid: the IDs of the source mesh element that encloses the nodes of the target mesh nodes; a vector of length of target mesh node count; elemid and elembary can be generated by calling [elemid,elembary]=tsearchn(node_src, elem_src, node_target); note that the mapping here is inverse to that in meshremap() elembary: the bary-centric coordinates of each target mesh nodes within the source mesh elements, sum of each row is 1, expect 3 or 4 columns (or can be N-D) fromelem: the element list of the source mesh output: newval: a 2D array with rows equal to the target mesh nodes (nodeto), and columns equals to the value numbers defined at each source mesh node example: [n1,f1,e1]=meshabox([0 0 0],[10 20 5],1); % target mesh [n2,f2,e2]=meshabox([0 0 0],[10 20 5],2); % src mesh [id, ww]=tsearchn(n2,e2,n1); % project target to src mesh value_src=n2(:,[2 1 3]); % create dummy values at src mesh newval=meshinterp(value_src,id, ww, e2); ==== function newval=meshremap(fromval,elemid,elembary,toelem,nodeto) ==== newval=meshremap(fromval,elemid,elembary,toelem,nodeto) Redistribute nodal values from the source mesh to the target mesh so that the sum of each property on each mesh is the same input: fromval: values defined at the source mesh nodes, the row or column number must be the same as the source mesh node number, which is the same as the elemid length elemid: the IDs of the target mesh element that encloses the nodes of the source mesh nodes; a vector of length of src mesh node count; elemid and elembary can be generated by calling [elemid,elembary]=tsearchn(node_target, elem_target, node_src); note that the mapping here is inverse to that in meshinterp() elembary: the bary-centric coordinates of each source mesh nodes within the target mesh elements, sum of each row is 1, expect 3 or 4 columns (or can be N-D) toelem: the element list of the target mesh nodeto: the total number of target mesh nodes output: newval: a 2D array with rows equal to the target mesh nodes (nodeto), and columns equals to the value numbers defined at each source mesh node example: [n1,f1,e1]=meshabox([0 0 0],[10 20 5],1); % src mesh [n2,f2,e2]=meshabox([0 0 0],[10 20 5],2); % target mesh [id, ww]=tsearchn(n2,e2,n1); % project src to target mesh value_src=n1(:,[2 3 1]); % create dummy values at src mesh newval=meshremap(value_src,id,ww,e2,size(n2,1)); % map to target ==== function [node,face]=extrudesurf(no,fc,vec) ==== [node,face]=extrudesurf(no,fc,vec) create a enclosed surface mesh by extruding an open surface input: output: node: 3D node coordinates for the generated surface mesh face: triangular face patches of the generated surface mesh, each row represents a triangle denoted by the indices of the 3 nodes === # File I/O === ==== function saveasc(v,f,fname) ==== saveasc(v,f,fname) save a surface mesh to FreeSurfer ASC mesh format input: v: input, surface node list, dimension (nn,3) f: input, surface face element list, dimension (be,3) fname: output file name ==== function savedxf(node,face,elem,fname) ==== savedxf(node,face,elem,fname) save a surface mesh to DXF format input: node: input, surface node list, dimension (nn,3) face: input, surface face element list, dimension (be,3) elem: input, tetrahedral element list, dimension (ne,4) fname: output file name ==== function savestl(node,elem,fname,solidname) ==== savestl(node,elem,fname,solidname) save a tetrahedral mesh to an STL (Standard Tessellation Language) file input: node: input, surface node list, dimension Nx3 elem: input, tetrahedral element list; if size(elem,2)==3, it is a surface fname: output file name solidname: an optional string for the name of the object ==== function savebinstl(node,elem,fname,solidname) ==== savebinstl(node,elem,fname,solidname) save a tetrahedral mesh to a binary STL (Standard Tessellation Language) file input: node: input, surface node list, dimension Nx3 elem: input, tetrahedral element list; if size(elem,2)==3, it is a surface fname: output file name solidname: an optional string for the name of the object ==== function saveinr(vol,fname) ==== saveinr(vol,fname) save a surface mesh to INR Format input: vol: input, a binary volume fname: output file name ==== function saveoff(v,f,fname) ==== saveoff(v,f,fname) save a surface mesh to Geomview Object File Format (OFF) input: v: input, surface node list, dimension (nn,3) f: input, surface face element list, dimension (be,3) fname: output file name ==== function savesmf(v,f,fname) ==== savesmf(v,f,fname) save a surface mesh to smf format input: v: input, surface node list, dimension (nn,3) f: input, surface face element list, dimension (be,3) fname: output file name ==== function savesurfpoly(v,f,holelist,regionlist,p0,p1,fname,forcebox) ==== savesurfpoly(v,f,holelist,regionlist,p0,p1,fname) save a set of surfaces into poly format (for tetgen) input: v: input, surface node list, dimension (nn,3) if v has 4 columns, the last column specifies mesh density near each node f: input, surface face element list, dimension (be,3) holelist: list of holes, each hole is represented by an internal point regionlist: list of regions, similar to holelist p0: coordinate of one of the end of the bounding box p1: coordinate for the other end of the bounding box fname: output file name forcebox: non-empty: add bounding box, []: automatic if forcebox is a 8x1 vector, it will be used to specify max-edge size near the bounding box corners ==== function nedge=savegts(v,f,fname,edges) ==== nedge=savegts(v,f,fname,edges) save a surface mesh to GNU Triangulated Surface Format (GTS) input: v: input, surface node list, dimension (nn,3) f: input, surface face element list, dimension (be,3) fname: output file name edges: edge list, if ignored, savegts will compute output: nedge: the number of unique edges in the mesh ==== function [node,elem,edges,edgemap]=readgts(fname) ==== [node,elem,edges,edgemap]=readgts(fname) read GNU Triangulated Surface files (GTS) input: fname: name of the OFF data file output: node: node coordinates of the mesh elem: list of elements of the surface mesh edges: the edge list section in the GTS file (optional) edgemap: the face section (in terms of edge indices) in the GTS file (optional) ==== function savemsh(node,elem,fname,rname) ==== savemsh(node,elem,fname,rname) save a tetrahedral mesh to GMSH mesh format author: Riccardo Scorretti (riccardo.scorretti univ-lyon1.fr) input: node: input, node list, dimension (nn,3) elem: input, tetrahedral mesh element list, dimension (ne,4) or (ne,5) for multi-region meshes fname: output file name rname: name of the regions, cell-array of strings (optional) ==== function savevrml(node,face,elem,fname) ==== savevrml(node,face,elem,fname) save a surface mesh to VRML 1.0 format input: node: input, surface node list, dimension (nn,3) face: input, surface face element list, dimension (be,3) elem: input, tetrahedral element list, dimension (ne,4) fname: output file name ==== function [node,elem]=readasc(fname) ==== [node,elem]=readasc(fname) read FreeSurfer ASC mesh format input: fname: name of the asc file output: node: node positions of the mesh elem: element list of the mesh ==== function dat=readinr(fname) ==== vol=readinr(fname) load a volume from an INR file input: fname: input file name output: dat: output, data read from the inr file ==== function [node,elem,face]=readmedit(filename) ==== [node,elem,face]=readmedit(filename) read Medit mesh format input: fname: name of the medit data file output: node: node coordinates of the mesh elem: list of elements of the mesh face: list of surface triangles of the mesh ==== function [node,elem]=readoff(fname) ==== [node,elem]=readoff(fname) read Geomview Object File Format (OFF) input: fname: name of the OFF data file output: node: node coordinates of the mesh elem: list of elements of the mesh ==== function [node,elem]=readsmf(fname) ==== [node,elem]=readsmf(fname) read simple model format (SMF) input: fname: name of the SMF data file output: node: node coordinates of the mesh elem: list of elements of the mesh ==== function [node,elem,face]=readtetgen(fstub) ==== [node,elem,face]=readtetgen(fstub) read tetgen output files input: fstub: file name stub output: node: node coordinates of the tetgen mesh elem: tetrahedra element list of the tetgen mesh face: surface triangles of the tetgen mesh ==== function flag=deletemeshfile(fname) ==== flag=deletemeshfile(fname) delete a given work mesh file under the working directory input: fname: specified file name (without path) output: flag: not used ==== function binname=mcpath(fname, ext) ==== binname=mcpath(fname) get full executable path by prepending a command directory path parameters: input: fname: input, a file name string output: binname: output, full file name located in the bin directory if global variable ISO2MESH_BIN is set in 'base', it will use [ISO2MESH_BIN filesep cmdname] as the command full path, otherwise, let matlab pass the cmdname to the shell, which will search command in the directories listed in system $PATH variable. ==== function tempname=mwpath(fname) ==== tempname=meshtemppath(fname) get full temp-file name by prepend working-directory and current session name input: fname: input, a file name string output: tempname: output, full file name located in the working directory if global variable ISO2MESH_TEMP is set in 'base', it will use it as the working directory; otherwise, will use matlab function tempdir to return a working directory. if global variable ISO2MESH_SESSION is set in 'base', it will be prepended for each file name, otherwise, use supplied file name. ==== function savemedit(node,face,elem,fname) ==== savemedit(node,face,elem,fname) save a surface or tetrahedral mesh to Medit format input: node: input, surface node list, dimension (nn,3 or 4) face: input, surface face element list, dimension (be,3 or 4) elem: input, tetrahedral element list, dimension (ne,4 or 5) fname: output file name ==== function json=savejson(rootname,obj,varargin) ==== json=savejson(obj) or json=savejson(rootname,obj,filename) json=savejson(rootname,obj,opt) json=savejson(rootname,obj,'param1',value1,'param2',value2,...) convert a MATLAB object (cell, struct or array) into a JSON (JavaScript Object Notation) string initially created on 2011/09/09 input: rootname: the name of the root-object, when set to '', the root name is ignored, however, when opt.ForceRootName is set to 1 (see below), the MATLAB variable name will be used as the root name. obj: a MATLAB object (array, cell, cell array, struct, struct array, class instance). filename: a string for the file name to save the output JSON data. opt: a struct for additional options, ignore to use default values. opt can have the following fields (first in [.|.] is the default) FileName [''|string]: a file name to save the output JSON data FloatFormat ['%.10g'|string]: format to show each numeric element of a 1D/2D array; IntFormat ['%.0f'|string]: format to display integer elements of a 1D/2D array; ArrayIndent [1|0]: if 1, output explicit data array with precedent indentation; if 0, no indentation ArrayToStruct[0|1]: when set to 0, savejson outputs 1D/2D array in JSON array format; if sets to 1, an array will be shown as a struct with fields "_ArrayType_", "_ArraySize_" and "_ArrayData_"; for sparse arrays, the non-zero elements will be saved to _ArrayData_ field in triplet-format i.e. (ix,iy,val) and "_ArrayIsSparse_" will be added with a value of 1; for a complex array, the _ArrayData_ array will include two columns (4 for sparse) to record the real and imaginary parts, and also "_ArrayIsComplex_":1 is added. NestArray [0|1]: If set to 1, use nested array constructs to store N-dimensional arrays; if set to 0, use the annotated array format defined in the JData Specification (Draft 1 or later). ParseLogical [0|1]: if this is set to 1, logical array elem will use true/false rather than 1/0. SingletArray [0|1]: if this is set to 1, arrays with a single numerical element will be shown without a square bracket, unless it is the root object; if 0, square brackets are forced for any numerical arrays. SingletCell [1|0]: if 1, always enclose a cell with "[]" even it has only one element; if 0, brackets are ignored when a cell has only 1 element. ForceRootName [0|1]: when set to 1 and rootname is empty, savejson will use the name of the passed obj variable as the root object name; if obj is an expression and does not have a name, 'root' will be used; if this is set to 0 and rootname is empty, the root level will be merged down to the lower level. Inf ['"$1_Inf_"'|string]: a customized regular expression pattern to represent +/-Inf. The matched pattern is '([-+]*)Inf' and $1 represents the sign. For those who want to use 1e999 to represent Inf, they can set opt.Inf to '$11e999' NaN ['"_NaN_"'|string]: a customized regular expression pattern to represent NaN JSONP [''|string]: to generate a JSONP output (JSON with padding), for example, if opt.JSONP='foo', the JSON data is wrapped inside a function call as 'foo(...);' UnpackHex [1|0]: conver the 0x[hex code] output by loadjson back to the string form SaveBinary [0|1]: 1 - save the JSON file in binary mode; 0 - text mode. Compact [0|1]: 1- out compact JSON format (remove all newlines and tabs) Compression 'zlib', 'gzip', 'lzma', 'lzip', 'lz4' or 'lz4hc': specify array compression method; currently only supports 6 methods. The data compression only applicable to numerical arrays in 3D or higher dimensions, or when ArrayToStruct is 1 for 1D or 2D arrays. If one wants to compress a long string, one must convert it to uint8 or int8 array first. The compressed array uses three extra fields "_ArrayZipType_": the opt.Compression value. "_ArrayZipSize_": a 1D interger array to store the pre-compressed (but post-processed) array dimensions, and "_ArrayZipData_": the "base64" encoded compressed binary array data. CompressArraySize [100|int]: only to compress an array if the total element count is larger than this number. CompressStringSize [400|int]: only to compress a string if the total element count is larger than this number. FormatVersion [2|float]: set the JSONLab output version; since v2.0, JSONLab uses JData specification Draft 1 for output format, it is incompatible with all previous releases; if old output is desired, please set FormatVersion to 1.9 or earlier. Encoding ['']: json file encoding. Support all encodings of fopen() function Append [0|1]: if set to 1, append a new object at the end of the file. Endian ['n'|'b','l']: Endianness of the output file ('n': native, 'b': big endian, 'l': little-endian) PreEncode [1|0]: if set to 1, call jdataencode first to preprocess the input data before saving opt can be replaced by a list of ('param',value) pairs. The param string is equivallent to a field in opt and is case sensitive. output: json: a string in the JSON format (see http://json.org) examples: jsonmesh=struct('MeshNode',[0 0 0;1 0 0;0 1 0;1 1 0;0 0 1;1 0 1;0 1 1;1 1 1],... 'MeshElem',[1 2 4 8;1 3 4 8;1 2 6 8;1 5 6 8;1 5 7 8;1 3 7 8],... 'MeshSurf',[1 2 4;1 2 6;1 3 4;1 3 7;1 5 6;1 5 7;... 2 8 4;2 8 6;3 8 4;3 8 7;5 8 6;5 8 7],... 'MeshCreator','FangQ','MeshTitle','T6 Cube',... 'SpecialData',[nan, inf, -inf]); savejson('jmesh',jsonmesh) savejson('',jsonmesh,'ArrayIndent',0,'FloatFormat','\t%.5g') license: BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details ==== function data = loadjson(fname,varargin) ==== data=loadjson(fname,opt) or data=loadjson(fname,'param1',value1,'param2',value2,...) parse a JSON (JavaScript Object Notation) file or string created on 2011/09/09, including previous works from Nedialko Krouchev: http://www.mathworks.com/matlabcentral/fileexchange/25713 created on 2009/11/02 François Glineur: http://www.mathworks.com/matlabcentral/fileexchange/23393 created on 2009/03/22 Joel Feenstra: http://www.mathworks.com/matlabcentral/fileexchange/20565 created on 2008/07/03 input: fname: input file name; if fname contains "{}" or "[]", fname will be interpreted as a JSON string opt: (optional) a struct to store parsing options, opt can be replaced by a list of ('param',value) pairs - the param string is equivallent to a field in opt. opt can have the following fields (first in [.|.] is the default) SimplifyCell [1|0]: if set to 1, loadjson will call cell2mat for each element of the JSON data, and group arrays based on the cell2mat rules. FastArrayParser [1|0 or integer]: if set to 1, use a speed-optimized array parser when loading an array object. The fast array parser may collapse block arrays into a single large array similar to rules defined in cell2mat; 0 to use a legacy parser; if set to a larger-than-1 value, this option will specify the minimum dimension to enable the fast array parser. For example, if the input is a 3D array, setting FastArrayParser to 1 will return a 3D array; setting to 2 will return a cell array of 2D arrays; setting to 3 will return to a 2D cell array of 1D vectors; setting to 4 will return a 3D cell array. UseMap [0|1]: if set to 1, loadjson uses a containers.Map to store map objects; otherwise use a struct object ShowProgress [0|1]: if set to 1, loadjson displays a progress bar. ParseStringArray [0|1]: if set to 0, loadjson converts "string arrays" (introduced in MATLAB R2016b) to char arrays; if set to 1, loadjson skips this conversion. FormatVersion [2|float]: set the JSONLab format version; since v2.0, JSONLab uses JData specification Draft 1 for output format, it is incompatible with all previous releases; if old output is desired, please set FormatVersion to 1.9 or earlier. Encoding ['']: json file encoding. Support all encodings of fopen() function ObjectID [0|interger or list]: if set to a positive number, it returns the specified JSON object by index in a multi-JSON document; if set to a vector, it returns a list of specified objects. JDataDecode [1|0]: if set to 1, call jdatadecode to decode JData structures defined in the JData Specification. output: dat: a cell array, where {...} blocks are converted into cell arrays, and [...] are converted to arrays examples: dat=loadjson('{"obj":{"string":"value","array":[1,2,3]}}') dat=loadjson(['examples' filesep 'example1.json']) dat=loadjson(['examples' filesep 'example1.json'],'SimplifyCell',0) license: BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details ==== function ubj=saveubjson(rootname,obj,varargin) ==== ubj=saveubjson(obj) or ubj=saveubjson(rootname,obj,filename) ubj=saveubjson(rootname,obj,opt) ubj=saveubjson(rootname,obj,'param1',value1,'param2',value2,...) Convert a MATLAB object (cell, struct, array, table, map, handles ...) into a Universal Binary JSON (UBJSON, Draft 12) or a MessagePack binary stream initially created on 2013/08/17 Format specifications: Binary JData (BJData):https://github.com/fangq/bjdata UBJSON: https://github.com/ubjson/universal-binary-json MessagePack: https://github.com/msgpack/msgpack This function is the same as calling "savebj(...,'ubjson',1)". By , default this function creates UBJSON-compliant output without the newly added uint16(u), uint32(m), uint64(M) and half-precision float (h) data types. This function by default still enables an optimized ND-array format for efficient array storage. To ensure the output compatible to UBJSON Draft-12, one should use "saveubjson(...,'NestArray',1)" or "savebj(...,'ubjson',1,'NestArray',1)" input: rootname: the name of the root-object, when set to '', the root name is ignored, however, when opt.ForceRootName is set to 1 (see below), the MATLAB variable name will be used as the root name. obj: a MATLAB object (array, cell, cell array, struct, struct array, class instance) filename: a string for the file name to save the output UBJSON data opt: a struct for additional options, ignore to use default values. opt can have the following fields (first in [.|.] is the default) opt can be replaced by a list of ('param',value) pairs. The param string is equivallent to a field in opt and is case sensitive. Please type "help savebj" for details for all supported options. output: json: a binary string in the UBJSON format (see http://ubjson.org) examples: jsonmesh=struct('MeshVertex3',[0 0 0;1 0 0;0 1 0;1 1 0;0 0 1;1 0 1;0 1 1;1 1 1],... 'MeshTet4',[1 2 4 8;1 3 4 8;1 2 6 8;1 5 6 8;1 5 7 8;1 3 7 8],... 'MeshTri3',[1 2 4;1 2 6;1 3 4;1 3 7;1 5 6;1 5 7;... 2 8 4;2 8 6;3 8 4;3 8 7;5 8 6;5 8 7],... 'MeshCreator','FangQ','MeshTitle','T6 Cube',... 'SpecialData',[nan, inf, -inf]); saveubjson(jsonmesh) saveubjson('',jsonmesh,'meshdata.ubj') saveubjson('mesh1',jsonmesh,'FileName','meshdata.msgpk','MessagePack',1) saveubjson('',jsonmesh,'KeepType',1) license: BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details ==== function varargout = loadubjson(varargin) ==== data=loadubjson(fname,opt) or data=loadubjson(fname,'param1',value1,'param2',value2,...) Parse a UBJSON file or string and store the output into a MATLAB variable initially created on 2019/06/08 This function is an alias to loadbj input: fname: input file name, if fname contains "{}" or "[]", fname will be interpreted as a UBJSON string opt: a struct to store parsing options, opt can be replaced by a list of ('param',value) pairs - the param string is equivallent to a field in opt. The supported options can be found by typing "help loadbj". output: data: a cell array, where {...} blocks are converted into cell arrays, and [...] are converted to arrays examples: obj=struct('string','value','array',[1 2 3]); ubjdata=saveubjson('obj',obj); dat=loadubjson(ubjdata) dat=loadubjson(['examples' filesep 'example1.ubj']) dat=loadubjson(['examples' filesep 'example1.ubj'],'SimplifyCell',0) license: BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details ==== function data = loadmsgpack(fname,varargin) ==== data = loadmsgpack(fname,varargin) LOADMSGPACK parses a msgpack byte buffer into Matlab data structures LOADMSGPACK(BYTES) reads BYTES as msgpack data, and creates Matlab data structures from it. - strings are converted to strings - numbers are converted to appropriate numeric values - true, false are converted to logical 1, 0 - nil is converted to [] - arrays are converted to cell arrays - maps are converted to containers.Map (c) 2016 Bastian Bechtold license: BSD 3-clause license or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details ==== function msgpk=savemsgpack(rootname,obj,varargin) ==== msgpk=savemsgpack(obj) or msgpk=savemsgpack(rootname,obj,filename) msgpk=savemsgpack(rootname,obj,opt) msgpk=savemsgpack(rootname,obj,'param1',value1,'param2',value2,...) convert a MATLAB object (cell, struct, array, table, map, handles ...) into a MessagePack binary stream initially created on 2019/05/20 This function is the same as calling savebj(...,'MessagePack',1) Please type "help savebj" for details for the supported inputs and outputs. license: BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details ==== function json=savebj(rootname,obj,varargin) ==== bjd=savebj(obj) or bjd=savebj(rootname,obj,filename) bjd=savebj(rootname,obj,opt) bjd=savebj(rootname,obj,'param1',value1,'param2',value2,...) Convert a MATLAB object (cell, struct, array, table, map, handles ...) into a Binary JData (BJData v1 Draft-1), Universal Binary JSON (UBJSON, Draft-12) or a MessagePack binary stream initially created on 2013/08/17 By default, this function creates BJD-compliant output. The BJD specification is largely similar to UBJSON, with additional data types including uint16(u), uint32(m), uint64(M) and half-precision float (h) Format specifications: Binary JData (BJD): https://github.com/fangq/bjdata UBJSON: https://github.com/ubjson/universal-binary-json MessagePack: https://github.com/msgpack/msgpack input: rootname: the name of the root-object, when set to '', the root name is ignored, however, when opt.ForceRootName is set to 1 (see below), the MATLAB variable name will be used as the root name. obj: a MATLAB object (array, cell, cell array, struct, struct array, class instance) filename: a string for the file name to save the output UBJSON data opt: a struct for additional options, ignore to use default values. opt can have the following fields (first in [.|.] is the default) FileName [''|string]: a file name to save the output JSON data ArrayToStruct[0|1]: when set to 0, savebj outputs 1D/2D array in JSON array format; if sets to 1, an array will be shown as a struct with fields "_ArrayType_", "_ArraySize_" and "_ArrayData_"; for sparse arrays, the non-zero elements will be saved to "_ArrayData_" field in triplet-format i.e. (ix,iy,val) and "_ArrayIsSparse_":true will be added with a value of 1; for a complex array, the "_ArrayData_" array will include two rows (4 for sparse) to record the real and imaginary parts, and also "_ArrayIsComplex_":true is added. Other annotations include "_ArrayShape_" and "_ArrayOrder_", "_ArrayZipLevel_" etc. NestArray [0|1]: If set to 1, use nested array constructs to store N-dimensional arrays (compatible with UBJSON specification Draft 12); if set to 0, use the JData (v0.5) optimized N-D array header; NestArray is automatically set to 1 when MessagePack is set to 1 ParseLogical [1|0]: if this is set to 1, logical array elem will use true/false rather than 1/0. SingletArray [0|1]: if this is set to 1, arrays with a single numerical element will be shown without a square bracket, unless it is the root object; if 0, square brackets are forced for any numerical arrays. SingletCell [1|0]: if 1, always enclose a cell with "[]" even it has only one element; if 0, brackets are ignored when a cell has only 1 element. ForceRootName [0|1]: when set to 1 and rootname is empty, savebj will use the name of the passed obj variable as the root object name; if obj is an expression and does not have a name, 'root' will be used; if this is set to 0 and rootname is empty, the root level will be merged down to the lower level. JSONP [''|string]: to generate a JSONP output (JSON with padding), for example, if opt.JSON='foo', the JSON data is wrapped inside a function call as 'foo(...);' UnpackHex [1|0]: conver the 0x[hex code] output by loadjson back to the string form Compression 'zlib', 'gzip', 'lzma', 'lzip', 'lz4' or 'lz4hc': specify array compression method; currently only supports 6 methods. The data compression only applicable to numerical arrays in 3D or higher dimensions, or when ArrayToStruct is 1 for 1D or 2D arrays. If one wants to compress a long string, one must convert it to uint8 or int8 array first. The compressed array uses three extra fields "_ArrayZipType_": the opt.Compression value. "_ArrayZipSize_": a 1D interger array to store the pre-compressed (but post-processed) array dimensions, and "_ArrayZipData_": the binary stream of the compressed binary array data WITHOUT 'base64' encoding CompressArraySize [100|int]: only to compress an array if the total element count is larger than this number. CompressStringSize [400|int]: only to compress a string if the total element count is larger than this number. MessagePack [0|1]: output MessagePack (https://msgpack.org/) binary stream instead of BJD/UBJSON UBJSON [0|1]: 0: (default)-encode data based on BJData Draft 1 (supports uint16(u)/uint32(m)/uint64(M)/half(h) markers) 1: encode data based on UBJSON Draft 12 (without u/m/M/h markers) FormatVersion [2|float]: set the JSONLab output version; since v2.0, JSONLab uses JData specification Draft 3 for output format, it is incompatible with releases older than v1.9.8; if old output is desired, please set FormatVersion to 1.9 or earlier. KeepType [0|1]: if set to 1, use the original data type to store integers instead of converting to the integer type of the minimum length without losing accuracy (default) Debug [0|1]: output binary numbers in <%g> format for debugging Append [0|1]: if set to 1, append a new object at the end of the file. Endian ['n'|'b','l']: Endianness of the output file ('n': native, 'b': big endian, 'l': little-endian) PreEncode [1|0]: if set to 1, call jdataencode first to preprocess the input data before saving opt can be replaced by a list of ('param',value) pairs. The param string is equivallent to a field in opt and is case sensitive. output: bjd: a binary string in the UBJSON format (see http://ubjson.org) examples: jsonmesh=struct('MeshVertex3',[0 0 0;1 0 0;0 1 0;1 1 0;0 0 1;1 0 1;0 1 1;1 1 1],... 'MeshTet4',[1 2 4 8;1 3 4 8;1 2 6 8;1 5 6 8;1 5 7 8;1 3 7 8],... 'MeshTri3',[1 2 4;1 2 6;1 3 4;1 3 7;1 5 6;1 5 7;... 2 8 4;2 8 6;3 8 4;3 8 7;5 8 6;5 8 7],... 'MeshCreator','FangQ','MeshTitle','T6 Cube',... 'SpecialData',[nan, inf, -inf]); savebj(jsonmesh) savebj('',jsonmesh,'meshdata.bjd') savebj('mesh1',jsonmesh,'FileName','meshdata.msgpk','MessagePack',1) savebj('',jsonmesh,'ubjson',1) license: BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details ==== function data = loadbj(fname,varargin) ==== data=loadbj(fname,opt) or data=loadbj(fname,'param1',value1,'param2',value2,...) Parse a Binary JData (BJData v1 Draft-1, defined in https://github.com/OpenJData/bjdata) file or memory buffer and convert into a MATLAB data structure initially created on 2013/08/01 input: fname: input file name, if fname contains "{}" or "[]", fname will be interpreted as a BJData/UBJSON string opt: a struct to store parsing options, opt can be replaced by a list of ('param',value) pairs - the param string is equivallent to a field in opt. opt can have the following fields (first in [.|.] is the default) SimplifyCell [1|0]: if set to 1, loadbj will call cell2mat for each element of the JSON data, and group arrays based on the cell2mat rules. IntEndian [B|L]: specify the endianness of the integer fields in the BJData/UBJSON input data. B - Big-Endian format for integers (as required in the UBJSON specification); L - input integer fields are in Little-Endian order. NameIsString [0|1]: for UBJSON Specification Draft 8 or earlier versions (JSONLab 1.0 final or earlier), the "name" tag is treated as a string. To load these UBJSON data, you need to manually set this flag to 1. UseMap [0|1]: if set to 1, loadjson uses a containers.Map to store map objects; otherwise use a struct object ObjectID [0|interger or list]: if set to a positive number, it returns the specified JSON object by index in a multi-JSON document; if set to a vector, it returns a list of specified objects. FormatVersion [2|float]: set the JSONLab format version; since v2.0, JSONLab uses JData specification Draft 1 for output format, it is incompatible with all previous releases; if old output is desired, please set FormatVersion to 1.9 or earlier. output: dat: a cell array, where {...} blocks are converted into cell arrays, and [...] are converted to arrays examples: obj=struct('string','value','array',[1 2 3]); ubjdata=savebj('obj',obj); dat=loadbj(ubjdata) dat=loadbj(['examples' filesep 'example1.bjd']) dat=loadbj(['examples' filesep 'example1.bjd'],'SimplifyCell',0) license: BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details ==== function savemphtxt(node, face, elem, filename) ==== savemphtxt(node, face, elem, filename) save tetrahedron mesh to comsol file (.mphtxt) author: Donghyeon Kim (danielkim gist.ac.kr) input: node: input, node list, dimension (nn,3) face: input, surface face element list with label, dimension (be,4) elem: input, tetrahedron element list with label, dimension (ne,5) filename: input, output file name ==== function savetetgenele(elem,fname) ==== savetetgenele(elem,fname) save a mesh tetrahedral element list to tetgen .ele format input: elem: tetrahedral element list, dimension (ne,4) columns beyound the 4rd column are treated as markers and attributes associated with the element fname: output file name ==== function savetetgennode(node,fname) ==== savetetgennode(node,fname) save a mesh node list to tetgen .node format input: node: node coordinates, dimension (nn,3) columns beyound the 3rd column are treated as markers and attributes associated with the node fname: output file name ==== function saveabaqus(node,face,elem,fname,heading) ==== saveabaqus(node,fname) saveabaqus(node,face,fname) saveabaqus(node,face,elem,fname) save a tetrahedral and/or surface mesh as an ABAQUS input file input: node: input, surface node list, dimension (nn,3) face: input, surface face element list, dimension (be,3) elem: input, tetrahedral element list, dimension (ne,4) fname: output file name heading: optional, a descriptive string for the mesh ==== function savenirfast(v,f,filestub, nodeseg, nodeprop, proptype) ==== savenirfast(nirfaststruct,filestub) or savenirfast(v,f,filestub, nodeseg, proptype, proptype) save a tetrahedral or surface mesh and associated properties to NIRFAST format input: nirfaststruct: a structure storing the NIRFAST mesh data, type 'help readnirfast' to read more; alternatively one can use: v: input, node list, the first 3 columns are the x/y/z positions, the remaining columns are combined with nodeprop as node-based (optical) parameters f: input, tetrahedral or surface element list, dimension (ne,3) filestub: output file stub, output will include multiple files filestub.node: node file filestub.elem: element file to store the surface or tet mesh filestub.param: parameter file filestub.region: node label file nodeseg: optional, an integer label field to group nodes into segmentations, same length as v, number starting from 0; or empty nodeprop: optional, additional nodal parameters, typically defined as mua (1/mm), musp (1/mm) and refractive index (n)l; row number equals to that of v, column number is user-defined proptype: optional, the type of the node-property. by default it is 'stnd' - for standard properties; one can also define multi-row header using a cell-array. example: [node,face,elem]=meshabox([0 0 0],[10 10 10],0.3,1); savenirfast(node,elem,'test', [], ones(size(node)), 'user'); mymesh=readnirfast('test') plotmesh([mymesh.nodes mymesh.bndvtx], mymesh.elements,'x>5') ==== function nirfastmesh=readnirfast(filestub) ==== nirfastmesh=readnirfast(v,f,filestub) load a group of mesh files saved in the NIRFAST format input: filestub: output file stub, output will include multiple files filestub.node: node file filestub.elem: element file to store the surface or tet mesh filestub.param: parameter file filestub.region: node label file filestub.excoef: extinction coeff list output: nirfastmesh.nodes: node list, 3 columns nirfastmesh.elements: element list, 3 or 4 columns integers nirfastmesh.bndvtx: boundary flag for each node, 1: on the boundary nirfastmesh.region: node segmentation labels nirfastmesh.dimension: dimension of the mesh nirfastmesh.excoef: extinction coeff list nirfastmesh.excoefheader: extinction coeff list field names nirfastmesh.type: the header of the .param file nirfastmesh.prop: optical property list (non-standard, need further processing) format definition see http://www.dartmouth.edu/~nir/nirfast/tutorials/NIRFAST-Intro.pdf example: [node,face,elem]=meshabox([0 0 0],[10 10 10],0.3,1); savenirfast(node,elem,'test', [], ones(size(node)), 'user'); mymesh=readnirfast('test') plotmesh([mymesh.nodes mymesh.bndvtx], mymesh.elements,'x>5') ==== function nii=readnifti(filename) ==== nii=readnifti(filename) Read a Nifti (*.nii) or Analyze 7.5 (*.hdr/*.img) image file input: fname: the file name to a .nii file, or an Analyze 7.5 file (*.hdr,*.img) output: nii.img: the data volume read from the nii file nii.datatype: the data type of the voxel, in matlab data type string nii.datalen: data count per voxel - for example RGB data has 3x uint8 per voxel, so datatype='uint8', datalen=3 nii.voxelbyte: total number of bytes per voxel: for RGB data, voxelbyte=3; also voxelbyte=header.bitpix/8 nii.hdr: file header info, a structure has the full nii header key subfileds include sizeof_hdr: must be 348 if the input is nifti dim: short array, dim(2: dim(1)+1) defines the array size datatype: the type of data stored in each voxel bitpix: total bits per voxel magic: must be 'ni1\0' or 'n+1\0' For the detailed nii header, please see https://nifti.nimh.nih.gov/pub/dist/src/niftilib/nifti1.h this file was ported from mcxloadnii.m from the MCX Project (http://mcx.space) ==== function dat=readmptiff(fname) ==== vol=readmptiff(fname) load a volume from a multi-page TIFF file input: fname: input file name output: dat: output, data read from the TIFF file === # JData functions === ==== function savejmesh(node,face,elem,fname,varargin) ==== savejmesh(node,face,elem,fname,opt) export a mesh to the JMesh format defined in http://github.com/fangq/jmesh input: node: input, node list, dimension (nn,3) face: input, optional, surface face element list, dimension (be,3) elem: input, tetrahedral element list, dimension (ne,4) fname: output file name; if file name has a suffix .bmsh or .bmesh, the mesh data will be saved in the binary jmesh format; otherwise, the file will be saved as a text-based jmesh (which is a plain JSON file) opt: additional parameters in the form of 'parameter',value pairs valid parameters include: 'Dimension': 0 - a user defined mesh, 2- a 2D mesh, 3- a 3D mesh 'Author': a string to set the author of the mesh 'MeshTitle': a string to set the title of the mesh 'MeshTag': a value as the tag of the mesh data 'Comment': a string as the additional note for the mesh data please type 'help savejson' and 'help saveubjson' to see additional supported options examples: [no,fc,el]=meshabox([0 0 0],[60,30,40],3,10); savejmesh(no,fc,[],'box_surf.jmsh','dimension',3); savejmesh(no,fc,el,'box_zlib.jmsh','compression','zlib'); savejmesh(no,fc,el,'box.bmsh','dimension',3); savejmesh(no,fc,el,'box_zlib.bmsh','dimension',3,'compression','zlib'); mesh=loadubjson('box.bmsh') ==== function jnii=loadjnifti(filename, varargin) ==== jnii=loadjnifti(inputfile) or jnii=loadjnifti(inputfile, 'Param1',value1, 'Param2',value2,...) Load a standard NIFTI-1/2 file or text or binary JNIfTI file with format defined in JNIfTI specification: https://github.com/fangq/jnifti input: inputfile: the output file name to the JNIfTI or NIFTI-1/2 file *.bnii for binary JNIfTI file *.jnii for text JNIfTI file *.nii for NIFTI-1/2 files options: (optional) if loading from a .bnii file, please see the options for loadubjson.m (part of JSONLab); if loading from a .jnii, please see the supported options for loadjson.m (part of JSONLab). output: jnii: a structure (array) or cell (array). The data structure can be completely generic or auxilary data without any JNIfTI constructs. However, if a JNIfTI object is included, it shall contain the below subfields (can appear within any depth of the structure) jnii.NIFTIHeader - a structure containing the 1-to-1 mapped NIFTI-1/2 header jnii.NIFTIData - the main image data array jnii.NIFTIExtension - a cell array contaiing the extension data buffers example: jnii=jnifticreate(uint8(magic(10)),'Name','10x10 magic matrix'); savejnifti(jnii, 'magic10.jnii') newjnii=loadjnifti('magic10.jnii'); ==== function savejnifti(jnii, filename, varargin) ==== savejnifti(jnii, outputfile) or savejnifti(jnii, outputfile, 'Param1',value1, 'Param2',value2,...) Save an in-memory JNIfTI structure into a JNIfTI file with format defined in JNIfTI specification: https://github.com/fangq/jnifti input: jnii: a structure (array) or cell (array). The data structure can be completely generic or auxilary data without any JNIfTI constructs. However, if a JNIfTI object is included, it shall contain the below subfields (can appear within any depth of the structure) jnii.NIFTIHeader - a structure containing the 1-to-1 mapped NIFTI-1/2 header jnii.NIFTIData - the main image data array jnii.NIFTIExtension - a cell array contaiing the extension data buffers outputfile: the output file name to the JNIfTI file *.bnii for binary JNIfTI file *.jnii for text JNIfTI file options: (optional) if saving to a .bnii file, please see the options for saveubjson.m (part of JSONLab); if saving to .jnii, please see the supported options for savejson.m (part of JSONLab). example: jnii=jnifticreate(uint8(magic(10)),'Name','10x10 magic matrix'); savejnifti(jnii, 'magic10.jnii') savejnifti(jnii, 'magic10_debug.bnii','Debug',1) ==== function varargout = loadnifti (varargin) ==== jnii=loadnifti(filename) or nii=loadnifti(filename,option) Read a NIfTI-1/2 (*.nii/.nii.gz) or Analyze 7.5 (*.hdr/*.img/.hdr.gz/.img.gz) image file. Please run `help nii2jnii` to see the input output outputs. This function is an alias to nii2jnii ==== function bytestream=savenifti(img, filename, varargin) ==== savenifti(img, filename) or savenifti(img, filename, rawhdr) savenifti(img, filename, 'nifti2') bytestream=savenifti(img) Write an image to a NIfTI (*.nii) or compressed NIfTI file (.nii.gz) input: img: this is a numerical array to be stored in the NIfTI file filename: output file name, can have a suffix of '.nii' or '.nii.gz' if a .gz suffix is used, this function needs the JSONLab (http://gitlab.com/fangq/jsonlab) and ZMat (http://gitlab.com/fangq/zmat) to perform the compression. rawhdr (optional): a struct, as a pre-created/loaded NIfTI header data structure if rawhdr is 'nifti1' or 'nifti2', this function calls nifticreate to create a default header. output: bytestream (optional): the output file byte stream. it only returns this output if no filename is given. example: a=single(rand(10,20,30)); savenifti(a,'randnii.nii'); savenifti(a,'randnii2.nii.gz','nifti2'); % needs zmat ==== function jdata=jdataencode(data, varargin) ==== jdata=jdataencode(data) or jdata=jdataencode(data, options) jdata=jdataencode(data, 'Param1',value1, 'Param2',value2,...) Annotate a MATLAB struct or cell array into a JData-compliant data structure as defined in the JData spec: http://github.com/fangq/jdata. This encoded form servers as an intermediate format that allows unambiguous storage, exchange of complex data structures and easy-to-serialize by json encoders such as savejson and jsonencode (MATLAB R2016b or newer) This function implements the JData Specification Draft 3 (Jun. 2020) see http://github.com/fangq/jdata for details input: data: a structure (array) or cell (array) to be encoded. options: (optional) a struct or Param/value pairs for user specified options (first in [.|.] is the default) AnnotateArray: [0|1] - if set to 1, convert all 1D/2D matrices to the annotated JData array format to preserve data types; N-D (N>2), complex and sparse arrays are encoded using the annotated format by default. Please set this option to 1 if you intend to use MATLAB's jsonencode to convert to JSON. Base64: [0|1] if set to 1, _ArrayZipData_ is assumed to be encoded with base64 format and need to be decoded first. This is needed for JSON but not UBJSON data Prefix: ['x0x5F'|'x'] for JData files loaded via loadjson/loadubjson, the default JData keyword prefix is 'x0x5F'; if the json file is loaded using matlab2018's jsondecode(), the prefix is 'x'; this function attempts to automatically determine the prefix; for octave, the default value is an empty string ''. UseArrayZipSize: [1|0] if set to 1, _ArrayZipSize_ will be added to store the "pre-processed" data dimensions, i.e. the original data stored in _ArrayData_, and then flaten _ArrayData_ into a row vector using row-major order; if set to 0, a 2D _ArrayData_ will be used UseArrayShape: [0|1] if set to 1, a matrix will be tested by to determine if it is diagonal, triangular, banded or toeplitz, and use _ArrayShape_ to encode the matrix MapAsStruct: [0|1] if set to 1, convert containers.Map into struct; otherwise, keep it as map Compression: ['zlib'|'gzip','lzma','lz4','lz4hc'] - use zlib method to compress data array CompressArraySize: [100|int]: only to compress an array if the total element count is larger than this number. FormatVersion [2|float]: set the JSONLab output version; since v2.0, JSONLab uses JData specification Draft 1 for output format, it is incompatible with all previous releases; if old output is desired, please set FormatVersion to 1.9 or earlier. example: jd=jdataencode(struct('a',rand(5)+1i*rand(5),'b',[],'c',sparse(5,5))) encodedmat=jdataencode(single(magic(5)),'annotatearray',1,'prefix','x') jdatadecode(jsondecode(jsonencode(encodedmat))) % serialize by jsonencode jdatadecode(loadjson(savejson('',encodedmat))) % serialize by savejson encodedtoeplitz=jdataencode(uint8(toeplitz([1,2,3,4],[1,5,6])),'usearrayshape',1,'prefix','x') jdatadecode(jsondecode(jsonencode(encodedtoeplitz))) % serialize by jsonencode jdatadecode(loadjson(savejson('',encodedtoeplitz))) % serialize by savejson license: BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details ==== function newdata=jdatadecode(data,varargin) ==== newdata=jdatadecode(data,opt,...) Convert all JData object (in the form of a struct array) into an array (accepts JData objects loaded from either loadjson/loadubjson or jsondecode for MATLAB R2016b or later) This function implements the JData Specification Draft 3 (Jun. 2020) see http://github.com/fangq/jdata for details input: data: a struct array. If data contains JData keywords in the first level children, these fields are parsed and regrouped into a data object (arrays, trees, graphs etc) based on JData specification. The JData keywords are "_ArrayType_", "_ArraySize_", "_ArrayData_" "_ArrayIsSparse_", "_ArrayIsComplex_", "_ArrayZipType_", "_ArrayZipSize", "_ArrayZipData_" opt: (optional) a list of 'Param',value pairs for additional options The supported options include Recursive: [1|0] if set to 1, will apply the conversion to every child; 0 to disable Base64: [0|1] if set to 1, _ArrayZipData_ is assumed to be encoded with base64 format and need to be decoded first. This is needed for JSON but not UBJSON data Prefix: ['x0x5F'|'x'] for JData files loaded via loadjson/loadubjson, the default JData keyword prefix is 'x0x5F'; if the json file is loaded using matlab2018's jsondecode(), the prefix is 'x'; this function attempts to automatically determine the prefix; for octave, the default value is an empty string ''. FullArrayShape: [0|1] if set to 1, converting _ArrayShape_ objects to full matrices, otherwise, stay sparse FormatVersion: [2|float]: set the JSONLab output version; since v2.0, JSONLab uses JData specification Draft 1 for output format, it is incompatible with all previous releases; if old output is desired, please set FormatVersion to 1 output: newdata: the covnerted data if the input data does contain a JData structure; otherwise, the same as the input. examples: obj={[],{'test'},true,struct('sparse',sparse(2,3),'magic',uint8(magic(5)))} jdata=jdatadecode(jdataencode(obj)) isequaln(obj,jdata) license: BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details ==== function varargout=jload(filename, varargin) ==== jload or jload(fname) varlist=jload(fname) [varlist, header]=jload(fname) varlist=jload(fname,'param1',value1,'param2',value2,...) Load variables from a JSON or binary JSON file to a workspace created on 2020/05/31 input: fname: (optional) input file name; if not given, load 'jamdata.jamm' if fname has a '.json' or '.jdt' suffix, a text-based JSON/JData file will be expected; if the suffix is '.jamm' or '.jdb', a Binary JData file will be expected. opt: (optional) a struct to store parsing options, opt can be replaced by a list of ('param',value) pairs - the param string is equivallent to a field in opt. opt can have the following fields (first in [.|.] is the default) ws ['caller'|'base']: the name of the workspace in which the variables are to be saved vars [{'var1','var2',...}]: list of variables to be saved header [0|1]: if set to 1, return the metadata of the variables stored in the file matlab [0|1] if set to 1, use matlab's built-in jsondecode to parse the json file and then decode the output by jdatadecode; input file must have a suffix of .jdt all options for loadubjson/loadjson (depends on file suffix) can be used to adjust the parsing options output: varlist: a struct with each subfield a variable stored in the file, if output is ignored, the variables will be loaded to the workspace specified by the 'ws' option, which by default load the variables to the current workspace ('caller') examples: jload % load all variables in jamdata.jamm to the 'caller' workspace jload mydat.jamm jload('mydat.jamm','vars', {'v1','v2',...}) % load selected variables varlist=jload('mydat.jamm','simplifycell',1) license: BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details ==== function varargout=jsave(filename, varargin) ==== jsave or jsave(fname) varlist=jsave(fname,'param1',value1,'param2',value2,...) Store variables in a workspace to a JSON or binary JSON file created on 2020/05/31 input: fname: (optional) output file name; if not given, save to 'jamdata.jamm' if fname has a '.json' or '.jdt' suffix, a text-based JSON/JData file will be created (slow); if the suffix is '.jamm' or '.jdb', a Binary JData (https://github.com/fangq/bjdata/) file will be created. opt: (optional) a struct to store parsing options, opt can be replaced by a list of ('param',value) pairs - the param string is equivallent to a field in opt. opt can have the following fields (first in [.|.] is the default) ws ['caller'|'base']: the name of the workspace in which the variables are to be saved vars [{'var1','var2',...}]: cell array of variable names to be saved matlab [0|1] if set to 1, use matlab's built-in jsonencode to store encoded data to a json file; output file must have a suffix of .jdt all options for savebj/savejson (depends on file suffix) can be used to adjust the output unless "'matlab',1" is used output: varlist: a list of variables loaded examples: jsave % save all variables in the 'caller' workspace to jamdata.jamm jsave('mydat.jamm','vars', {'v1','v2',...}) % save selected variables jsave('mydat.jamm','compression','lzma') license: BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details ==== function newname = decodevarname(name,varargin) ==== newname = decodevarname(name) Decode a hex-encoded variable name (from encodevarname) and restore its original form This function is sensitive to the default charset settings in MATLAB, please call feature('DefaultCharacterSet','utf8') to set the encoding to UTF-8 before calling this function. input: name: a string output from encodevarname, which converts the leading non-ascii letter into "x0xHH_" and non-ascii letters into "_0xHH_" format, where hex key HH stores the ascii (or Unicode) value of the character. output: newname: the restored original string example: decodevarname('x0x5F_a') % returns _a decodevarname('a_') % returns a_ as it is a valid variable name decodevarname('x0xE58F98__0xE9878F_') % returns '变量' ==== function str = encodevarname(str,varargin) ==== newname = encodevarname(name) Encode an invalid variable name using a hex-format for bi-directional conversions. This function is sensitive to the default charset settings in MATLAB, please call feature('DefaultCharacterSet','utf8') to set the encoding to UTF-8 before calling this function. input: name: a string, can be either a valid or invalid variable name output: newname: a valid variable name by converting the leading non-ascii letter into "x0xHH_" and non-ascii letters into "_0xHH_" format, where HH is the ascii (or Unicode) value of the character. if the encoded variable name CAN NOT be longer than 63, i.e. the maximum variable name specified by namelengthmax, and one uses the output of this function as a struct or variable name, the name will be trucated at 63. Please consider using the name as a containers.Map key, which does not have such limit. example: encodevarname('_a') % returns x0x5F_a encodevarname('a_') % returns a_ as it is a valid variable name encodevarname('变量') % returns 'x0xE58F98__0xE9878F_' ==== function jnii=jnifticreate(varargin) ==== jnii=jnifticreate or jnii=jnifticreate('header1', value1, 'header2', value2, ...) jnii=jnifticreate(img, 'header1', value1, ...) Create a default JNIfTI structure with default header and image volume input: img: set the jnii.NIFTIData section 'header_i': the header subfield name defined in the JNIfTI specification, see https://github.com/fangq/jnifti value_i: set the value for the specified JNIfTI header field output: jnii: without any input, jnii gives the default jnii header if img is given, jnii also includes the NIFTIData field ==== function header=nifticreate(img,format) ==== header=nifticreate(img) or header=nifticreate(img,format) Create a default NIfTI header input: img: the image data matching the header format: can only be 'nifti1'. can be ignored output: header: a struct that is byte-wise compatible with NIfTI-1 ==== function nii=nii2jnii(filename, format, varargin) ==== nii=nii2jnii(niifile, format, options) or nii2jnii(niifile, jniifile, options) nii=nii2jnii(niifile) A fast and portable NIFTI-1/2 and Analyze7.5 file parser and converter to the text and binary JNIfTI formats defined in JNIfTI specification: https://github.com/fangq/jnifti This function is compatible with both MATLAB and GNU Octave. It accepts .nii, .nii.gz, .hdr/.img and .hdr.gz/.img.gz input files input: fname: the file name to the .nii, .nii.gz, .hdr/.img or .hdr.gz/.img.gz file format:'nii' for reading the NIfTI-1/2/Analyze files; 'jnii' to convert the nii data into an in-memory JNIfTI structure. 'niiheader' return only the nii header without the image data if format is not listed above and nii2jnii is called without an output, format must be a string specifying the output JNIfTI file name - *.jnii for text-based JNIfTI, or *.bnii for the binary version options: (optional) if saving to a .bnii file, please see the options for saveubjson.m (part of JSONLab); if saving to .jnii, please see the supported options for savejson.m (part of JSONLab). output: if the output is a JNIfTI data structure, it has the following subfield: nii.NIFTIHeader - a structure containing the 1-to-1 mapped NIFTI-1/2 header nii.NIFTIData - the main image data array nii.NIFTIExtension - a cell array contaiing the extension data buffers when calling as nii=nii2jnii(file,'nii'), the output is a NIFTI object containing nii.img: the data volume read from the nii file nii.datatype: the data type of the voxel, in matlab data type string nii.datalen: data count per voxel - for example RGB data has 3x uint8 per voxel, so datatype='uint8', datalen=3 nii.voxelbyte: total number of bytes per voxel: for RGB data, voxelbyte=3; also voxelbyte=header.bitpix/8 nii.hdr: file header info, a structure has the full nii header key subfileds include sizeof_hdr: must be 348 (for NIFTI-1) or 540 (for NIFTI-2) dim: short array, dim(2: dim(1)+1) defines the array size datatype: the type of data stored in each voxel bitpix: total bits per voxel magic: must be 'ni1\0' or 'n+1\0' For the detailed nii header, please see https://nifti.nimh.nih.gov/pub/dist/src/niftilib/nifti1.h dependency: No external dependency if reading .nii/.hdr/.img files; To load gzipped input files (.nii.gz/.hdr.gz/.img.gz), one must install the ZMat Toolbox (http://github.com/fangq/zmat) and JSONLab Toolbox (http://github.com/fangq/jsonlab); To save files into the text/binary JNIfTI formatted files, one need to install JSONLab (http://github.com/fangq/jsonlab). this file was initially developed for the MCX project: https://github.com/fangq/mcx/blob/master/utils/mcxloadnii.m ==== function nii=jnii2nii(jnii, varargin) ==== nii=jnii2nii(jnii) or nii=jnii2nii(jniifile) jnii2nii(jniifile, niifile) Covert a JNIfTI file or data structure to a NIfTI-1/2 structure or file This function is compatible with both MATLAB and GNU Octave. It accepts .jnii and .bnii input files input: jnii: a JNIfTI data structure (a struct with NIFTIHeader and NIFTIData fields); if jnii is a string, it represents a JNIfTI file (.jnii/.bnii) niifile: if the 2nd parameter is given as a file name, the converted nifti data will be save as a nii file with filename specified by niifile. if the filename in niifile contains .gz, the file will be compressed using the zmat toolbox. output: nii: is the converted nifti-1/2 data structure, it contains the below subfields nii.img: the data volume read from the nii file nii.hdr: extended raw file header, a structure that is byte-wise compatible with a nifti-1 - in this case, typecast(nii.hdr,'uint8') must be 348+4=352 bytes, including the raw nifti-1 hdr header (348 bytes) plus the 4-byte extension flags), or nifti-2 - in this case, typecast(nii.hdr,'uint8') must be 540+4=544 bytes, including the raw nifti-2 hdr header (540 bytes) plus the 4-byte extension flags) if one run nii.hdr.extension=[]; the resulting struct is 348/540-byte in length nii.hdr key subfileds include sizeof_hdr: must be 348 (for NIFTI-1) or 540 (for NIFTI-2) dim: short array, dim(2: dim(1)+1) defines the array size datatype: the type of data stored in each voxel bitpix: total bits per voxel magic: must be 'ni1\0' or 'n+1\0' for NIFTI-1 data, and 'ni2\0' or 'n+2\0' for NIFTI-2 data For the detailed nii header, please see https://nifti.nimh.nih.gov/pub/dist/src/niftilib/nifti1.h dependency: To load a JNIfTI file with compression or niifile ends with (.nii.gz/.hdr.gz/.img.gz), one must install the ZMat Toolbox (http://github.com/fangq/zmat) and JSONLab Toolbox (http://github.com/fangq/jsonlab); ==== function newval=niicodemap(name, value) ==== newval=niicodemap(name, value) Bi-directional conversion from NIFTI codes to human-readable JNIfTI header string values input: name: a header name as a string, currently support the below nii headers: 'intent_code', 'slice_code', 'datatype', 'qform', 'sform' and 'xyzt_units' and their corresponding JNIfTI headers: 'Intent','SliceType','DataType','QForm','SForm','Unit' value:the current header value, if it is a code, newval will output the string version; if it is a string, newval will return the code output: newval: the converted header value For the detailed nii header codes, please see https://nifti.nimh.nih.gov/pub/dist/src/niftilib/nifti1.h example: newval=niicodemap('slice_code', '') newval=niicodemap('datatype', 'uint64') newval=niicodemap('datatype', 2) this file was initially developed for the MCX project: https://github.com/fangq/mcx/blob/master/utils/mcxloadnii.m ==== function niiheader=niiformat(format) ==== niiheader=niiformat(format) Return a NIfTI header format descriptor as an Nx3 cell array input: format:'nifti1' - return the header descriptor for NIfTI-1 format 'nifti2' - return the header descriptor for NIfTI-2 format output: niiheader: an Nx3 cell array in the format similar to the 'Format' specifier of the memmapfile.m function in MATLAB It has the following structure: column 1: data type string, it can be one of the following 'int8','int16','int32','int64', 'uint8','uint16','uint32','uint64', 'single','double' column 2: an integer vector denoting the size of the data column 3: a string denoting the fieldname in the output struct ==== function savebnii(jnii, filename, varargin) ==== savebnii(jniidata, bniifile) or savebnii(jniidata, bniifile, 'Param1',value1, 'Param2',value2,...) Save an in-memory JNIfTI structure into a binary-JNIfTI file with format defined in JNIfTI specification: https://github.com/fangq/jnifti input: jnii: a structure (array) or cell (array). The data structure can be completely generic or auxilary data without any JNIfTI constructs. However, if a JNIfTI object is included, it shall contain the below subfields (can appear within any depth of the structure) jnii.NIFTIHeader - a structure containing the 1-to-1 mapped NIFTI-1/2 header jnii.NIFTIData - the main image data array jnii.NIFTIExtension - a cell array contaiing the extension data buffers filename: the output file name to the binary-JNIfTI file (.bnii) options: (optional) if saving to .bnii, please see the supported options for saveubjson.m (part of JSONLab). example: jnii=jnifticreate(uint8(magic(10)),'Name','10x10 magic matrix'); savebnii(jnii, 'magic10.bnii') savebnii(jnii, 'magic10_debug.bnii','Debug',1) ==== function savejnii(jnii, filename, varargin) ==== savejnii(jniidata, jniifile) or savejnii(jniidata, jniifile, 'Param1',value1, 'Param2',value2,...) Save an in-memory JNIfTI structure into a text-JNIfTI file with format defined in JNIfTI specification: https://github.com/fangq/jnifti input: jnii: a structure (array) or cell (array). The data structure can be completely generic or auxilary data without any JNIfTI constructs. However, if a JNIfTI object is included, it shall contain the below subfields (can appear within any depth of the structure) jnii.NIFTIHeader - a structure containing the 1-to-1 mapped NIFTI-1/2 header jnii.NIFTIData - the main image data array jnii.NIFTIExtension - a cell array contaiing the extension data buffers filename: the output file name to the text-JNIfTI file (.jnii) options: (optional) if saving to .jnii, please see the supported options for savejson.m (part of JSONLab). example: jnii=jnifticreate(uint8(magic(10)),'Name','10x10 magic matrix'); savejnii(jnii, 'magic10.jnii') savejnii(jnii, 'magic10_compact.jnii','Compact',1) === # Data compression === ==== function varargout = zlibencode(varargin) ==== output = zlibencode(input) or [output, info] = zlibencode(input) Compress a string or numerical array using the ZLIB-compression This function depends on JVM in MATLAB or, can optionally use the ZMat toolbox (http://github.com/fangq/zmat) Copyright (c) 2012, Kota Yamaguchi URL: https://www.mathworks.com/matlabcentral/fileexchange/39526-byte-encoding-utilities input: input: the original data, can be a string, a numerical vector or array output: output: the decompressed byte stream stored in a uint8 vector; if info is given, output will restore the original data's type and dimensions examples: [bytes, info]=zlibencode(eye(10)); orig=zlibdecode(bytes,info); license: BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details ==== function varargout = zlibdecode(varargin) ==== output = zlibdecode(input) or output = zlibdecode(input,info) Decompressing a ZLIB-compressed byte-stream to recover the original data This function depends on JVM in MATLAB or, can optionally use the ZMat toolbox (http://github.com/fangq/zmat) Copyright (c) 2012, Kota Yamaguchi URL: https://www.mathworks.com/matlabcentral/fileexchange/39526-byte-encoding-utilities input: input: a string, int8/uint8 vector or numerical array to store ZLIB-compressed data info (optional): a struct produced by the zmat/lz4hcencode function during compression; if not given, the inputs/outputs will be treated as a 1-D vector output: output: the decompressed byte stream stored in a uint8 vector; if info is given, output will restore the original data's type and dimensions examples: [bytes, info]=zlibencode(eye(10)); orig=zlibdecode(bytes,info); license: BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details ==== function varargout = gzipencode(varargin) ==== output = gzipencode(input) or [output, info] = gzipencode(input) Compress a string or numerical array using the GZIP-compression This function depends on JVM in MATLAB or, can optionally use the ZMat toolbox (http://github.com/fangq/zmat) Copyright (c) 2012, Kota Yamaguchi URL: https://www.mathworks.com/matlabcentral/fileexchange/39526-byte-encoding-utilities input: input: the original data, can be a string, a numerical vector or array output: output: the decompressed byte stream stored in a uint8 vector; if info is given, output will restore the original data's type and dimensions examples: [bytes, info]=gzipencode(eye(10)); orig=gzipdecode(bytes,info); license: BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details ==== function varargout = gzipdecode(varargin) ==== output = gzipdecode(input) or output = gzipdecode(input,info) Decompressing a GZIP-compressed byte-stream to recover the original data This function depends on JVM in MATLAB or, can optionally use the ZMat toolbox (http://github.com/fangq/zmat) Copyright (c) 2012, Kota Yamaguchi URL: https://www.mathworks.com/matlabcentral/fileexchange/39526-byte-encoding-utilities input: input: a string, int8/uint8 vector or numerical array to store the GZIP-compressed data info (optional): a struct produced by the zmat/lz4hcencode function during compression; if not given, the inputs/outputs will be treated as a 1-D vector output: output: the decompressed byte stream stored in a uint8 vector; if info is given, output will restore the original data's type and dimensions examples: [bytes, info]=gzipencode(eye(10)); orig=gzipdecode(bytes,info); license: BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details ==== function varargout = lzmaencode(varargin) ==== output = lzmaencode(input) or [output, info] = lzmaencode(input) Compress a string or a numerical array using LZMA-compression This function depends on the ZMat toolbox (http://github.com/fangq/zmat) input: input: the original data, can be a string, a numerical vector or array output: output: the compressed byte stream stored in a uint8 vector info: (optional) a struct storing the metadata of the input, see "help zmat" for details examples: [bytes, info]=lzmaencode(eye(10)); orig=lzmadecode(bytes,info); license: BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details ==== function varargout = lzmadecode(varargin) ==== output = lzmadecode(input) or output = lzmadecode(input,info) Decompressing an LZMA-compressed byte-stream to recover the original data This function depends on the ZMat toolbox (http://github.com/fangq/zmat) input: input: a string, int8/uint8 vector or numerical array to store LZMA-compressed data info (optional): a struct produced by the zmat/lzmaencode function during compression; if not given, the inputs/outputs will be treated as a 1-D vector output: output: the decompressed byte stream stored in a uint8 vector; if info is given, output will restore the original data's type and dimensions examples: [bytes, info]=lzmaencode(eye(10)); orig=lzmadecode(bytes,info); license: BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details ==== function varargout = lzipencode(varargin) ==== output = lzipencode(input) or [output, info] = lzipencode(input) Compress a string or a numerical array using LZip-compression This function depends on the ZMat toolbox (http://github.com/fangq/zmat) input: input: the original data, can be a string, a numerical vector or array output: output: the compressed byte stream stored in a uint8 vector info: (optional) a struct storing the metadata of the input, see "help zmat" for details examples: [bytes, info]=lzipencode(eye(10)); orig=lzipdecode(bytes,info); license: BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details ==== function varargout = lzipdecode(varargin) ==== output = lzipdecode(input) or output = lzipdecode(input,info) Decompressing an Lzip-compressed byte-stream to recover the original data This function depends on the ZMat toolbox (http://github.com/fangq/zmat) input: input: a string, int8/uint8 vector or numerical array to store Lzip-compressed data info (optional): a struct produced by the zmat/lzipencode function during compression; if not given, the inputs/outputs will be treated as a 1-D vector output: output: the decompressed byte stream stored in a uint8 vector; if info is given, output will restore the original data's type and dimensions examples: [bytes, info]=lzipencode(eye(10)); orig=lzipdecode(bytes,info); license: BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details ==== function varargout = lz4encode(varargin) ==== output = lz4encode(input) or [output, info] = lz4encode(input) Compress a string or a numerical array using LZ4-compression This function depends on the ZMat toolbox (http://github.com/fangq/zmat) input: input: the original data, can be a string, a numerical vector or array output: output: the compressed byte stream stored in a uint8 vector info: (optional) a struct storing the metadata of the input, see "help zmat" for details examples: [bytes, info]=lz4encode(eye(10)); orig=lz4decode(bytes,info); license: BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details ==== function varargout = lz4decode(varargin) ==== output = lz4decode(input) or output = lz4decode(input,info) Decompressing an LZ4-compressed byte-stream to recover the original data This function depends on the ZMat toolbox (http://github.com/fangq/zmat) input: input: a string, int8/uint8 vector or numerical array to store LZ4-compressed data info (optional): a struct produced by the zmat/lz4encode function during compression; if not given, the inputs/outputs will be treated as a 1-D vector output: output: the decompressed byte stream stored in a uint8 vector; if info is given, output will restore the original data's type and dimensions examples: [bytes, info]=lz4encode(eye(10)); orig=lz4decode(bytes,info); license: BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details ==== function varargout = lz4hcencode(varargin) ==== output = lz4hcencode(input) or [output, info] = lz4hcencode(input) Compress a string or a numerical array using LZ4HC-compression This function depends on the ZMat toolbox (http://github.com/fangq/zmat) input: input: the original data, can be a string, a numerical vector or array output: output: the compressed byte stream stored in a uint8 vector info: (optional) a struct storing the metadata of the input, see "help zmat" for details examples: [bytes, info]=lz4hcencode(eye(10)); orig=lz4hcdecode(bytes,info); license: BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details ==== function varargout = lz4hcdecode(varargin) ==== output = lz4hcdecode(input) or output = lz4hcdecode(input,info) Decompressing an LZ4HC-compressed byte-stream to recover the original data This function depends on the ZMat toolbox (http://github.com/fangq/zmat) input: input: a string, int8/uint8 vector or numerical array to store LZ4HC-compressed data info (optional): a struct produced by the zmat/lz4hcencode function during compression; if not given, the inputs/outputs will be treated as a 1-D vector output: output: the decompressed byte stream stored in a uint8 vector; if info is given, output will restore the original data's type and dimensions examples: [bytes, info]=lz4hcencode(eye(10)); orig=lz4hcdecode(bytes,info); license: BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details ==== function output = base64decode(varargin) ==== output = base64decode(input) Decoding a Base64-encoded byte-stream to recover the original data This function depends on JVM in MATLAB or, can optionally use the ZMat toolbox (http://github.com/fangq/zmat) Copyright (c) 2012, Kota Yamaguchi URL: https://www.mathworks.com/matlabcentral/fileexchange/39526-byte-encoding-utilities input: input: a base64-encoded string output: output: the decoded binary byte-stream as a uint8 vector examples: bytes=base64encode('Test JSONLab'); orig=char(base64decode(bytes)) license: BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details ==== function varargout = base64encode(varargin) ==== output = base64encode(input) Encoding a binary vector or array using Base64 This function depends on JVM in MATLAB or, can optionally use the ZMat toolbox (http://github.com/fangq/zmat) Copyright (c) 2012, Kota Yamaguchi URL: https://www.mathworks.com/matlabcentral/fileexchange/39526-byte-encoding-utilities input: input: a base64-encoded string output: output: the decoded binary byte-stream as a uint8 vector examples: bytes=base64encode('Test JSONLab'); orig=char(base64decode(bytes)) license: BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details === # Volumetric image pre-processing === ==== function islands=bwislands(img) ==== islands=bwislands(img) return the indices of non-zero elements in a 2D or 3D image grouped by connected regions in a cell array input: img: a 2D or 3D array output: islands: a cell array, each cell records the indices of the non-zero elements in img for a connected region (or an island) ==== function resimg=fillholes3d(img,maxgap) ==== resimg=fillholes3d(img,maxgap) close a 3D image with the speicified gap size and then fill the holes input: img: a 3D binary image maxgap: maximum gap size for image closing output: resimg: the image free of holes this function requires the image processing toolbox for matlab/octave ==== function cleanimg=deislands2d(img,sizelim) ==== cleanimg=deislands2d(img,sizelim) remove isolated islands on a 2D image below speicified size limit input: img: a 2D binary image sizelim: a integer as the maximum pixel size of a isolated region output: cleanimg: a binary image after removing islands below sizelim ==== function cleanimg=deislands3d(img,sizelim) ==== cleanimg=deislands3d(img,sizelim) remove isolated islands for 3D image (for each slice) input: img: a 3D volumetric image sizelim: maximum island size (in pixels) for each x/y/z slice output: cleanimg: 3D image after removing the islands ==== function h=ndgaussian(r, sigma, ndim) ==== h=ndgaussian(r, sigma, ndim) create an ND Gaussian or box filter kernel matrix input: r: kernel half-width, the output is 2*r+1 in each dimension; if missing, use 1 sigma: the standard deviation of the Gaussian; if not given, use 1; if set to inf, output box filter ndim: an integer for the output dimension; if not given, use 3 output: h: an ndim-dimensional matrix ==== function img=ndimfilter(im,kernel,varargin) ==== img=ndimfilter(im,kernel,r,sigma) filter an ND array using a specified filter using convolution input: im: input ND array kernel: can be an ND array, or a string. if string, the below filters are supported: 'box': box filter (need r) 'gaussian': Gaussian filter (need r,sigma input) r: kernel half-width, the output is 2*r+1 in each dimension; if missing, use 1 sigma: the standard deviation of the Gaussian; if not given, use 1; if set to inf, output box filter output: img: the filtered ND array ==== function imgdiff=imedge3d(binimg,isdiff) ==== imgdiff=imedge3d(binimg,isdiff) Extract the boundary voxels from a binary image author: Aslak Grinsted input: binimg: a 3D binary image isdiff: if isdiff=1, output will be all voxels which is different from its neighbors; if isdiff=0 or ignored, output will be the edge voxels of the non-zero regions in binimg output: imgdiff: a 3D logical array with the same size as binimg with 1 for voxels on the boundary and 0 otherwise ==== function p=internalpoint(v,aloop) ==== p=internalpoint(v,aloop) imperical function to find an internal point of a planar polygon input: v: x,y,z coordinates of each node of the mesh aloop: input, a single vector separated by NaN, each segment is a close-polygon consisted by node IDs output: p: output, [x y z] of an internal point of aloop ==== function vol=smoothbinvol(vol,layer) ==== vol=smoothbinvol(vol,layer) perform a memory-limited 3D image smoothing input: vol: a 3D volumetric image to be smoothed layer: number of iterations for the smoothing output: vol: the volumetric image after smoothing ==== function vol=thickenbinvol(vol,layer) ==== vol=thickenbinvol(vol,layer) thickening a binary volume by a given pixel width this is similar to bwmorph(vol,'thicken',3) except this does it in 3d and only does thickening for non-zero elements (and hopefully faster) input: vol: a volumetric binary image layer: number of iterations for the thickenining output: vol: the volume image after the thickening ==== function vol=thinbinvol(vol,layer,nobd) ==== vol=thinbinvol(vol,layer,nobd) thinning a binary volume by a given pixel width this is similar to bwmorph(vol,'thin',n) except this does it in 3d and only run thinning for non-zero elements (and hopefully faster) input: vol: a volumetric binary image layer: number of iterations for the thickenining nobd: (optional) if set to 1, boundaries will not erode. if not given, nobd=0. output: vol: the volume image after the thinning operations ==== function dist=maskdist(vol) ==== dist=maskdist(vol) return the distance in each voxel towards the nearest label boundaries input: vol: a 2D or 3D array output: dist: an integer array, storing the distance, in voxel unit, towards the nearest boundary between two distinct non-zero voxels, the zero voxels in the domain and space outside of the array are also treated as a unique non-zero label. If the goal is to get the minimum distance measured from the center of the voxel, one should use (dist-0.5). example: a=ones(60,60,60); a(:,:,1:10)=2; a(:,:,11:20)=3; im=maskdist(a); imagesc(squeeze(im(:,30,:))) === # Mesh plotting === ==== function hm=plotmesh(node,varargin) ==== hm=plotmesh(node,face,elem,opt) plot surface and volumetric meshes input: node: a node coordinate list, 3 columns for x/y/z; if node has a 4th column, it will be used to set the color at each node. face: a triangular surface face list; if face has a 4th column, it will be used to separate the surface into sub-surfaces and display them in different colors; face can be a cell array, each element of the array represents a polyhedral facet of the mesh, if an element is an array with two array subelements, the first one is the node index, the second one is a scalar as the group id of the facet. elem: a tetrahedral element list; if elem has a 5th column, it will be used to separate the mesh into sub-domains and display them in different colors. opt: additional options for the plotting for simple point plotting, opt can be markers or color options, such as 'r.', or opt can be a logic statement to select a subset of the mesh, such as 'x>0 & y+z<1', or an equation defining a plane at which a mesh cross-section is plotted, for example 'y=2*x'; opt can have more than one items to combine these options, for example: plotmesh(...,'x>0','r.'); the range selector must appear before the color/marker specifier in the event where all of the above inputs have extra settings related to the color of the plot, the priorities are given in the following order: opt > node(:,4) > elem(:,5) > face(:,4) output: hm: handle or handles (vector) to the plotted surfaces example: h=plotmesh(node,'r.'); h=plotmesh(node,'x<20','r.'); h=plotmesh(node,face); h=plotmesh(node,face,'y>10'); h=plotmesh(node,face,'facecolor','r'); h=plotmesh(node,elem,'x<20'); h=plotmesh(node,elem,'x<20 & y>0'); h=plotmesh(node,face,elem); h=plotmesh(node,face,elem,'linestyle','--'); h=plotmesh(node,elem,'z=20'); ==== function hm=plotsurf(node,face,varargin) ==== hm=plotsurf(node,face,opt) plot 3D surface meshes (2d manifold) or polylines (1d manifold) input: node: node coordinates, dimension (nn,3); if node has a 4th column, it will be used to set the color at each node. face: triangular surface face list; if face has a 4th column, it will be used to separate the surface into sub-surfaces and display them in different colors; face can be a cell array, each element of the array represents a polyhedral facet of the mesh, if an element is an array with two array subelements, the first one is the node index, the second one is a scalar as the group id of the facet. opt: additional options for the plotting, see plotmesh output: hm: handle or handles (vector) to the plotted surfaces example: h=plotsurf(node,face); h=plotsurf(node,face,'facecolor','r'); h=plotsurf(node,edges,'linestyle','-','linewidth',2,'color','r'); ==== function hm=plottetra(node,elem,varargin) ==== hm=plottetra(node,elem,opt) plot 3D surface meshes input: node: a node coordinate list, 3 columns for x/y/z; if node has a 4th column, it will be used to set the color at each node. elem: a tetrahedral element list; if elem has a 5th column, and the 5th column are all integers, it will be treated as labels of sub-domains and display them in different colors. if the 5th column contains non-integer values, it will be used to map to the color of triangles. opt: additional options for a patch object, see plotmesh output: hm: handle or handles (vector) to the plotted surfaces example: h=plottetra(node,elem); h=plottetra(node,elem,'facealpha',0.5); ==== function hh=plotedges(node,edges,varargin) ==== hm=plotedges(node,edges,opt) or hm=plotedges(node,loops,opt) plot a 3D polyline or close loop (1d manifold) input: node: node coordinates, dimension (nn,3); if node has a 4th column, it will be used to set the color at each node. edges:edge list: a 2-column index array, with each row being an edge connecting the two indexed node loops:loops is an NaN separated integer array, with each segment denoting a 3D polyline or loop represented by a list of node indices opt: additional options for the plotting, see plotmesh output: hm: handle or handles (vector) to the plotted surfaces example: h=plotedges(node,[1 2 3 4 5 nan 6 7 8 9]); h=plotedges(node,edges,'marker','o','linewidth',2,'color','r'); ==== function [cutpos,cutvalue,facedata,elemid]=qmeshcut(elem,node,value,cutat,varargin) ==== [cutpos,cutvalue,facedata,elemid]=qmeshcut(elem,node,value,cutat) fast tetrahedral mesh slicer input: elem: integer array with dimensions of NE x 4, each row contains the indices of all the nodes for each tetrahedron node: node coordinates, 3 columns for x, y and z respectively value: a scalar array with the length of node numbers, can have multiple columns cutat: cutat can have different forms: if cutat is a 3x3 matrix, it defines a plane by 3 points: cutat=[x1 y1 z1;x2 y2 z2;x3 y3 z3] if cutat is a vector of 4 element, it defines a plane by a*x+b*y+c*z+d=0 and cutat=[a b c d] if cutat is a single scalar, it defines an isosurface inside the mesh at value=cutat if cutat is a string, it defines an implicit surface at which the cut is made. it must has form expr1=expr2 where expr1 expr2 are expressions made of x,y,z,v and constants if cutat is a cell in the form of {'expression',scalar}, the expression will be evaluated at each node to produce a new value, then an isosurface is produced at the levelset where new value=scalar; the expression can contain constants and x,y,z,v output: cutpos: all the intersections of mesh edges by the cutat cutpos is similar to node, containing 3 columns for x/y/z cutvalue: interpolated values at the intersections, with row number being the num. of the intersections, column number being the same as "value". facedata: define the intersection polygons in the form of patch "Faces" elemid: the index of the elem in which each intersection polygon locates without any output, qmeshcut generates a cross-section plot the outputs of this subroutine can be easily plotted using % if value has a length of node: patch('Vertices',cutpos,'Faces',facedata,'FaceVertexCData',cutvalue,'FaceColor','interp'); % if value has a length of elem: patch('Vertices',cutpos,'Faces',facedata,'CData',cutvalue,'FaceColor','flat'); === # Miscellaneous functions === ==== function valnew=surfdiffuse(node,tri,val,ddt,iter,type1,opt) ==== valnew=surfdiffuse(node,tri,val,ddt,iter,type1,opt) apply a smoothing/diffusion process on a surface input: node: list of nodes of the surface mesh tri: triangular element list of the surface val: vector, scalar value for each node ddt: diffusion coefficient multiplied by delta t iter: iterations for applying the smoothing type1: indices of the nodes which will not be updated opt: method, 'grad' for gradient based, and 'simple' for simple average output: valnew: nodal value vector after the smoothing ==== function [node,elem,face]=volmap2mesh(img,ix,iy,iz,elemnum,maxvol,thickness,Amat,Bvec) ==== [node,elem,face]=volmap2mesh(img,ix,iy,iz,thickness,elemnum,maxvol,A,B) convert a binary volume to tetrahedral mesh followed by an Affine transform input: img, ix,iy,iz, elemnum and maxvol: see vol2mesh.m thickness: scale z-dimension of the mesh to specified thickness, if thickness==0, scaling is bypassed Amat: a 3x3 transformation matrix Bvec: a 3x1 vector Amat and Bvec maps the image index space to real world coordnate system by [x,y,z]_new=Amat*[x,y,z]_old+Bvec ==== function [isoctave, verinfo]=isoctavemesh ==== [isoctave verinfo]=isoctavemesh determine whether the code is running in octave output: isoctave: 1 if in octave, otherwise 0 verinfo: a string, showing the version of octave (OCTAVE_VERSION) ==== function p=getvarfrom(ws,name) ==== p=getvarfrom(ws,name) get variable value by name from specified work-space input: ws: name of the work-space, for example, 'base' name: name string of the variable output: p: the value of the specified variable, if the variable does not exist, return empty array ==== function [t,u,v,idx]=raytrace(p0,v0,node,face) ==== [t,u,v,idx]=raytrace(p0,v0,node,face) perform a Havel-styled ray tracing for a triangular surface input: p0: starting point coordinate of the ray v0: directional vector of the ray node: a list of node coordinates (nn x 3) face: a surface mesh triangle list (ne x 3) output: t: signed distance from p to the intersection point for each surface triangle, if ray is parallel to the triangle, t is set to Inf u: bary-centric coordinate 1 of all intersection points v: bary-centric coordinate 2 of all intersection points the final bary-centric triplet is [u,v,1-u-v] idx: optional output, if requested, idx lists the IDs of the face elements that intersects the ray; users can manually calc idx by idx=find(u>=0 & v>=0 & u+v<=1.0 & ~isinf(t)); Reference: [1] J. Havel and A. Herout, "Yet faster ray-triangle intersection (using SSE4)," IEEE Trans. on Visualization and Computer Graphics, 16(3):434-438 (2010) [2] Q. Fang, "Comment on 'A study on tetrahedron-based inhomogeneous Monte-Carlo optical simulation'," Biomed. Opt. Express, (in press) ==== function [isinside,pt,coord]=linextriangle(p0,p1,plane) ==== [isinside,pt,coord]=linextriangle(p0,p1,plane) calculate the intersection of a 3d line (passing two points) with a plane (determined by 3 points) parameters: p0: a 3d point in form of (x,y,z) p1: another 3d point in form of (x,y,z), p0 and p1 determins the line plane: a 3x3 matrix, each row is a 3d point in form of (x,y,z) this is used to define a plane outputs: isinside: a boolean variable, 1 for the intersection is within the 3d triangle determined by the 3 points in plane; 0 is outside pt: the coordinates of the intersection pint coord: 1x3 vector, if isinside=1, coord will record the barycentric coordinate for the intersection point within the triangle; otherwise it will be all zeros. for degenerated lines or triangles, this will stop Please find more information at http://iso2mesh.sf.net/cgi-bin/index.cgi?metch ==== function [a,b,c,d]=getplanefrom3pt(plane) ==== [a,b,c,d]=getplanefrom3pt(plane) define a plane equation ax+by+cz+d=0 from three 3D points input: plane: a 3x3 matrix with each row specifying a 3D point (x,y,z) output: a,b,c,d: the coefficient for plane equation ax+by+cz+d=0 ==== function exesuff=getexeext() ==== exesuff=getexeext() get meshing external tool extension names for the current platform output: exesuff: file extension for iso2mesh tool binaries ==== function exesuff=fallbackexeext(exesuffix, exename) ==== exesuff=fallbackexeext(exesuffix, exename) get the fallback external tool extension names for the current platform input: exesuffix: the output executable suffix from getexeext exename: the executable name output: exesuff: file extension for iso2mesh tool binaries ==== function [major,minor,patchnum,extra]=iso2meshver ==== [major,minor,patchnum,extra]=iso2meshver or v=iso2meshver get the version number of iso2mesh toolbox output: if you ask for a single output: v: a string denotes the current version number; the string is typically in the following format: "major.minor.patch-extra" where major/minor/patch are typically integers, and extra can be an arbitrary string and is optional if you ask for 4 outputs: [major,minor,patchnum,extra] are each field of the version string ==== function [t,u,v,idx,xnode]=raysurf(p0,v0,node,face) ==== [t,u,v,idx,xnode]=raysurf(p,v,node,face) perform a Havel-styled ray tracing for a triangular surface input: p0: list of starting points of the rays v0: directional vector of the rays, node: a list of node coordinates (nn x 3) face: a surface mesh triangle list (ne x 3) output: t: distance from p0 to the intersection point for each surface triangle, if t(i)=NaN, no intersection was found for that ray u: bary-centric coordinate 1 of all intersection points v: bary-centric coordinate 2 of all intersection points the final bary-centric triplet is [u,v,1-u-v] idx: idx lists the IDs of the face elements that intersects each ray xnode: optional output, if requested, xnode gives the intersection point coordinates; to compute manually, xnode=p0+repmat(t,1,3).*v0 Reference: [1] J. Havel and A. Herout, "Yet faster ray-triangle intersection (using SSE4)," IEEE Trans. on Visualization and Computer Graphics, 16(3):434-438 (2010) [2] Q. Fang, "Comment on 'A study on tetrahedron-based inhomogeneous Monte-Carlo optical simulation'," Biomed. Opt. Express, (in press) ==== function val=getoptkey(key,default,varargin) ==== val=getoptkey(key,default,opt) or val=getoptkey(key,default,'key1',val1,'key2',val2, ...) query the value of a key from a structure or a list of key/value pairs input: key: a string name for the target struct field name default: the default value of the key is not found opt: a struct object; the field names will be searched to match the key input, opt can be a list of 'keyname'/value pairs output: val: val=opt.key if found, otherwise val=default ==== function newpt=rotatevec3d(pt,v1,u1,p0) ==== newpt=rotatevec3d(pt,v1,u1,p0) rotate 3D points from one Cartesian coordinate system to another input: pt: 3D points defined in a standard Cartesian system where a unitary z-vector is (0,0,1), 3 columns for x, y and z v1: the unitary z-vector for the target coordinate system u1: the unitary z-vector for the source coordinate system, if ignored, u1=(0,0,1) p0: offset of the new coordinate system, if ignored, p0=(0,0,0) output: newpt: the transformed 3D points ==== function [R,s]=rotmat2vec(u,v) ==== [R,s]=rotmat2vec(u,v) the rotation matrix from vector u to v, satisfying R*u*s=v author: Bruno Luong URL:http://www.mathworks.com/matlabcentral/newsreader/view_original/827969 input: u: a 3D vector in the source coordinate system; v: a 3D vector in the target coordinate system; output: R: a rotation matrix to transform normalized u to normalized v s: a scaling factor, so that R*u(:)*s=v(:) ==== function opt=varargin2struct(varargin) ==== opt=varargin2struct('param1',value1,'param2',value2,...) or opt=varargin2struct(...,optstruct,...) convert a series of input parameters into a structure input: 'param', value: the input parameters should be pairs of a string and a value optstruct: if a parameter is a struct, the fields will be merged to the output struct output: opt: a struct where opt.param1=value1, opt.param2=value2 ... license: BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details ==== function val=jsonopt(key,default,varargin) ==== val=jsonopt(key,default,optstruct) setting options based on a struct. The struct can be produced by varargin2struct from a list of 'param','value' pairs input: key: a string with which one look up a value from a struct default: if the key does not exist, return default optstruct: a struct where each sub-field is a key output: val: if key exists, val=optstruct.key; otherwise val=default license: BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details ==== function s=mergestruct(s1,s2) ==== s=mergestruct(s1,s2) merge two struct objects into one input: s1,s2: a struct object, s1 and s2 can not be arrays output: s: the merged struct object. fields in s1 and s2 will be combined in s. license: BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details ==== function node=orthdisk(c0,c1,r,ndiv,v1,angle0) ==== node=orthdisk(c0,c1,r,ndiv) Defining a 3D disk that is orthogonal to the vector c1-c0 input: c0: a 1x3 vector for the origin c1: a 1x3 vector to define a direction vector c1-c0 r: the radius of the disk that is orthogonal to c1-c0, passing through c0 ndiv: division count to approximate a circle by a polygon, if ignored, ndiv=20 v1: a 1x3 vector specifying the first point on the output 3D disk. if v1 is not perpendicular to c1-c0, the disk rotation axis is changed to cross(v1,cross(c1-c0,v1)); angle0: angle0 represents the angle (in radian) of the 1st point in the 3D disk if placed on the x-y plane. output: node: the 3D vertices of the disk ==== function [dims, maxlevel, count] = nestbracket2dim(str,brackets) ==== [dims, maxlevel, count] = nestbracket2dim(str,brackets) Extracting the dimension vector of a JSON string formatted array by analyzing the pairs of opening/closing bracket tokenss; this function only returns valid dimension information when the array is an N-D array input: str: a string-formatted JSON array using square-brackets for enclosing elements and comma as separators between elements brackets: (optional), a string of length 2, with the first character being the opening token and the 2nd being the closing token. if not given, brackets is set to '[]' to find matching square-brackets; for example, '{}' looks for a matching closing curly-bracket in the string key(pos(startpos,:end)) output: dims: the speculated dimension vector with the length matching the maximum depth of the embedded bracket pairs. When the input string encodes an N-D array, the dims vector contains all integers; however, returning an all-integer dims vector does not mean the array is rectangular. maxlevel: return the depth of the enclosed brackets in the string, i.e. the length of the dims vector. count: the relative depth from the level 0 - scanning from the left to right of the string, an opening token increases the level by 1 and a closing token decreases the level by 1; a zero indicates the positions of a matching bracket of the same level. example: str='[[ [1,2,3], [4,2,1]], [ [10,1,0], [2,5,10]] ]'; % an N-D array [dim,dep]=nestbracket2dim(str) str='[[ [1,2,3], [4,2,1]], [ [10,1,0], [2,5]] ]'; % an invalid N-D array [dim,dep]=nestbracket2dim(str) license: BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details ==== function [endpos, maxlevel] = fast_match_bracket(key,pos,startpos,brackets) ==== [endpos, maxlevel] = fast_match_bracket(key,pos,startpos,brackets) A fast function to find the position of a closing bracket token in a string input: key: a preprocessed string containing only relevant opening/closing bracket characters for accelerating the search. pos: a 1D integer vector with a length matching the length of key, recording the corresponding position of each char. in the original string. startpos: the index in the original string as the start position to search; the startpos must be at least 1 greater than the opening bracket position brackets: (optional), a string of length 2, with the first character being the opening token and the 2nd being the closing token. if not given, brackets is set to '[]' to find matching square-brackets; for example, '{}' looks for a matching closing curly-bracket in the string key(pos(startpos,:end)) output: endpos: if a matching bracket is found, return its position in the original string maxlevel: return the depth of the enclosed brackets between the searched pair, includig the searching pair. For example, the matching closing-bracket of the 1st square bracket (startpos=2) in '[[[]],[]]' returns a position of 9, with a maximum depth of 3; searching for the closing bracket for the 2nd square bracket (startpos=3) returns a position of 5 and max-depth of 2. example: str='[[ [1,2], 1], 10, [5,10] ]'; pos=find(str=='[' | str==']') key=str(pos) [p1,dep]=fast_match_bracket(key,1:length(key),3) [p2,dep]=fast_match_bracket(key,pos,2) [p3,dep]=fast_match_bracket(key,pos,3) license: BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details ==== function [endpos, maxlevel] = match_bracket(str,startpos,brackets) ==== [endpos, maxlevel] = match_bracket(str,startpos,brackets) Looking for the position of a closing bracket token in a string input: str: the full string to be searched startpos: the index in the string as the start position to search; the startpos must be at least 1 greater than the opening bracket position brackets: (optional), a string of length 2, with the first character being the opening token and the 2nd being the closing token. if not given, brackets is set to '[]' to find matching square-brackets; for example, '{}' looks for a matching closing curly-bracket in the string key(pos(startpos,:end)) output: endpos: if a matching bracket is found, return its position in the original string maxlevel: return the depth of the enclosed brackets between the searched pair, includig the searching pair. For example, the matching closing-bracket of the 1st square bracket (startpos=2) in '[[[]],[]]' returns a position of 9, with a maximum depth of 3; searching for the closing bracket for the 2nd square bracket (startpos=3) returns a position of 5 and max-depth of 2. example: str='[[ [1,2], 1], 10, [5,10] ]'; [p1,dep]=match_bracket(str,3) [p2,dep]=match_bracket(str,2) [p3,dep]=match_bracket(str,3) license: BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details ==== function outstruct=memmapstream(bytes, format) ==== outstruct=memmapstream(bytes, format) Map a byte-array (in char array or uint8/int8 array) into a structure using a dictionary (format is compatible with memmapfile in MATLAB) This function is compatible with both MATLAB and GNU Octave. input: bytes: a char, int8 or uint8 vector or array format: a 3-column cell array in the format compatible with the 'Format' parameter of memmapfile in MATLAB. It has the following structure column 1: data type string, it can be one of the following 'int8','int16','int32','int64', 'uint8','uint16','uint32','uint64', 'single','double','logical' column 2: an integer vector denoting the size of the data column 3: a string denoting the fieldname in the output struct For example format={'int8',[1,8],'key'; 'float',[1,1],'value'} reads the first 8 bytes from 'bytes' as the first subfield 'key' and the following 4 bytes as the floating point 'value' subfield. output: outstruct: a structure containing the required field example: bytestream=['Andy' 5 'JT']; format={'uint8', [1,4], 'name', 'uint8', [1,1], 'age', 'uint8', [1,2], 'school'}; data=memmapstream(bytestream,format); octave-iso2mesh-1.9.6+ds/readnirfast.m0000644001356000007640000000624313724766530016617 0ustar fangqadminfunction nirfastmesh=readnirfast(filestub) % % nirfastmesh=readnirfast(v,f,filestub) % % load a group of mesh files saved in the NIRFAST format % % author: Qianqian Fang, % % input: % filestub: output file stub, output will include multiple files % filestub.node: node file % filestub.elem: element file to store the surface or tet mesh % filestub.param: parameter file % filestub.region: node label file % filestub.excoef: extinction coeff list % % output: % nirfastmesh.nodes: node list, 3 columns % nirfastmesh.elements: element list, 3 or 4 columns integers % nirfastmesh.bndvtx: boundary flag for each node, 1: on the boundary % nirfastmesh.region: node segmentation labels % nirfastmesh.dimension: dimension of the mesh % nirfastmesh.excoef: extinction coeff list % nirfastmesh.excoefheader: extinction coeff list field names % nirfastmesh.type: the header of the .param file % nirfastmesh.prop: optical property list (non-standard, need further processing) % % format definition see http://www.dartmouth.edu/~nir/nirfast/tutorials/NIRFAST-Intro.pdf % % example: % [node,face,elem]=meshabox([0 0 0],[10 10 10],0.3,1); % savenirfast(node,elem,'test', [], ones(size(node)), 'user'); % mymesh=readnirfast('test') % plotmesh([mymesh.nodes mymesh.bndvtx], mymesh.elements,'x>5') % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % fname=[filestub,'.node']; if(~exist(fullfile(pwd,fname),'file')) error([fname ' could not be found']); end nirfastmesh.nodes=load(fname); nirfastmesh.bndvtx=nirfastmesh.nodes(:,1); nirfastmesh.nodes(:,1)=[]; fname=[filestub,'.elem']; if(~exist(fullfile(pwd,fname),'file')) error([fname ' could not be found']); end nirfastmesh.elements=load(fname); nirfastmesh.dimension=size(nirfastmesh.elements,2)-1; fname=[filestub,'.region']; if(exist(fullfile(pwd,fname),'file')) nirfastmesh.region=load(fname); end fname=[filestub,'.excoef']; fid=fopen(fname,'rt'); if(fid>=0) linenum=0; textheader={}; while(~feof(fid)) oneline=fgetl(fid); linenum=linenum+1; [data, count]=sscanf(oneline,'%f'); if(count>1) params=fscanf(fid,repmat('%f ',1,count),inf); params=reshape(params,length(params)/count, count); params(2:end+1,:)=params; params(1,:)=data(:)'; nirfastmesh.excoef=params; nirfastmesh.excoefheader=textheader; break; else textheader{end+1}=oneline; end end fclose(fid); end fname=[filestub,'.param']; fid=fopen(fname,'rt'); if(fid>=0) linenum=0; params=[]; while(~feof(fid)) oneline=fgetl(fid); if(linenum==0) nirfastmesh.type=oneline; end linenum=linenum+1; [data, count]=sscanf(oneline,'%f'); if(count>1) params=fscanf(fid,repmat('%f ',1,count),inf); params=reshape(params,length(params)/count, count); params(2:end+1,:)=params; params(1,:)=data(:)'; nirfastmesh.prop=params; break; end end fclose(fid); end octave-iso2mesh-1.9.6+ds/savemedit.m0000644001356000007640000000234513724766530016275 0ustar fangqadminfunction savemedit(node,face,elem,fname) % % savemedit(node,face,elem,fname) % % save a surface or tetrahedral mesh to Medit format % % author: Qianqian Fang, % date: 2010/10/30 % % input: % node: input, surface node list, dimension (nn,3 or 4) % face: input, surface face element list, dimension (be,3 or 4) % elem: input, tetrahedral element list, dimension (ne,4 or 5) % fname: output file name % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % fid=fopen(fname,'wt'); if(fid==-1) error('You do not have permission to save mesh files.'); end fprintf(fid,'# Generated by iso2mesh: http://iso2mesh.sf.net\n'); fprintf(fid,'MeshVersionFormatted\t1\nDimension\t3\n'); if(~isempty(node)) if(size(node,2)<=3) node(1,4)=0; end fprintf(fid,'Vertices\t%d\n',size(node,1)); fprintf(fid,'%e\t%e\t%e\t%.0f\n',node(:,1:4)'); end if(~isempty(face)) if(size(face,2)<=3) face(1,4)=0; end fprintf(fid,'Triangles\t%d\n',size(face,1)); fprintf(fid,'%d\t%d\t%d\t%d\n',face(:,1:4)'); end if(~isempty(elem)) if(size(elem,2)<=4) elem(1,5)=0; end fprintf(fid,'Tetrahedra\t%d\n',size(elem,1)); fprintf(fid,'%d\t%d\t%d\t%d\t%d\n',elem(:,1:5)'); end fprintf(fid,'End'); fclose(fid); octave-iso2mesh-1.9.6+ds/slicesurf3.m0000644001356000007640000000475713724766530016407 0ustar fangqadminfunction [leftpt,leftcurve,rightpt,rightcurve]=slicesurf3(node,elem,p1,p2,p3,step,minangle) % % [leftpt,leftcurve,rightpt,rightcurve]=slicesurf3(node,elem,p1,p2,p3,step,minangle) % % Slice a closed surface by a plane and extract the landmark nodes along % the intersection between p1 and p3, then output into 2 segments: between % p2 to p1 (left half), and p2 to p3 (right half) % % author: Qianqian Fang (q.fang at neu.edu) % % input: % node: an N x 3 array defining the 3-D positions of the mesh % elem: an N x 3 interger array specifying the surface triangle indices; % p1: 3D position of the start on the curve-of-interest % p2: 3D position of the middle on the curve-of-interest % p3: 3D position of the end on the curve-of-interest % step: (optional) a percentage (0-100) specifying the spacing of the % output landmark nodes; step=20 means the landmarks on the left % curve are spaced as 20% of the total lengths of the left-half, and % those on the right-curve are spaced at 20% of the right-half, % starting from p2. % minangle: (optional) a positive minangle will ask this function to % call polylinesimplify to remove sharp turns on the curve. % % output: % leftpt: the equal-spaced landmark nodes on the left-half (p2-p1) % intersection curve; spacing between these nodes are % (step% * length of the curve between p2-p1) % leftcurve: all nodes on the left-half (p2-p1) intersection curve % rightpt: the equal-spaced landmark nodes on the right-half (p2-p3) % intersection curve; spacing between these nodes are % (step% * length of the curve between p2-p3) % rightcurve: all nodes on the left-half (p2-p1) intersection curve % % -- this function is part of brain2mesh toolbox (http://mcx.space/brain2mesh) % License: GPL v3 or later, see LICENSE.txt for details % fullcurve=slicesurf(node, elem, [p1;p2;p3]); if(nargin>=7 && minangle>0) fullcurve=polylinesimplify(fullcurve,minangle); end [fulllen, fullcurve]=polylinelen(fullcurve, p1,p3,p2); [leftlen, leftcurve]=polylinelen(fullcurve, p2, p1); if(nargin>=6) [idx, weight, leftpt]=polylineinterp(leftlen, sum(leftlen)*(step:step:(100-step*0.5))*0.01, leftcurve); else leftpt=leftcurve; end if(nargout>2) [rightlen, rightcurve]=polylinelen(fullcurve, p2, p3); if(nargin>=6) [idx, weight, rightpt]=polylineinterp(rightlen, sum(rightlen)*(step:step:(100-step*0.5))*0.01, rightcurve); else rightpt=rightcurve; end end octave-iso2mesh-1.9.6+ds/savenirfast.m0000644001356000007640000000767613724766530016655 0ustar fangqadminfunction savenirfast(v,f,filestub, nodeseg, nodeprop, proptype) % % savenirfast(nirfaststruct,filestub) % or % savenirfast(v,f,filestub, nodeseg, proptype, proptype) % % save a tetrahedral or surface mesh and associated properties to NIRFAST format % % author: Qianqian Fang, % % input: % nirfaststruct: a structure storing the NIRFAST mesh data, type % 'help readnirfast' to read more; alternatively one can use: % v: input, node list, the first 3 columns are the x/y/z positions, % the remaining columns are combined with nodeprop as node-based % (optical) parameters % f: input, tetrahedral or surface element list, dimension (ne,3) % filestub: output file stub, output will include multiple files % filestub.node: node file % filestub.elem: element file to store the surface or tet mesh % filestub.param: parameter file % filestub.region: node label file % nodeseg: optional, an integer label field to group nodes into % segmentations, same length as v, number starting from 0; or empty % nodeprop: optional, additional nodal parameters, typically defined % as mua (1/mm), musp (1/mm) and refractive index (n)l; row number % equals to that of v, column number is user-defined % proptype: optional, the type of the node-property. by default it is % 'stnd' - for standard properties; one can also define multi-row % header using a cell-array. % % example: % [node,face,elem]=meshabox([0 0 0],[10 10 10],0.3,1); % savenirfast(node,elem,'test', [], ones(size(node)), 'user'); % mymesh=readnirfast('test') % plotmesh([mymesh.nodes mymesh.bndvtx], mymesh.elements,'x>5') % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % if(nargin<2) error('you must provide at least 2 inputs'); end if(nargin==2) filestub=f; node=v.nodes; f=v.elements; proptype=v.type; if(isfield(v,'region')) nodeseg=v.region; end if(isfield(v,'mua')) nodeprop=[v.mua v.mus v.ri]; end if(isfield(v,'bndvtx')) isboundary=v.bndvtx; end v=node; end if(size(v,2)>3) if(nargin>4) nodeprop=[v(:,4:end) nodeprop]; else nodeprop=v(:,4:end); end else if(nargin<5) nodeprop=[]; end end if(nargin<6) proptype='stnd'; end if(nargin<4 || isempty(nodeseg)) nodeseg=zeros(size(v,1),1); end if(nargin<6) proptype='stnd'; end if(size(f,2)>4) f(:,5:end)=[]; end if(size(v,2)<3) error('v must contain at least 3 columns, and f must have at least 4 columns'); end if(~exist('isboundary','var')) face=surfedge(f); isboundary=ismember(1:size(v,1), face(:)); end fid=fopen([filestub,'.node'],'wt'); if(fid==-1) error('Saving node file failed, check permission or disk space.'); end fprintf(fid,'%d\t%.16f\t%.16f\t%.16f\n',[isboundary(:) v(:,1:3)]'); fclose(fid); if(size(f,2)<2 || size(f,2)>4) error('element list f must contain 3 or 4 columns'); end fid=fopen([filestub,'.elem'],'wt'); if(fid==-1) error('Saving elem file failed, check permission or disk space.'); end fprintf(fid,'%6d\t%6d\t%6d\t%6d\t\n',f'); fclose(fid); if(~isempty(nodeseg)) if(numel(nodeseg)~=size(v,1)) error('nodeseg must have the same length as v'); end fid=fopen([filestub,'.region'],'wt'); if(fid==-1) error('Saving regin file failed, check permission or disk space.'); end fprintf(fid,'%d\n',nodeseg(:)); fclose(fid); end if(~isempty(nodeprop)) if(size(nodeprop,1)~=size(v,1)) error('nodeprop must have the same row number as v'); end fid=fopen([filestub,'.param'],'wt'); if(fid==-1) error('Saving param file failed, check permission or disk space.'); end if(iscell(proptype)) proptype=strjoin(proptype,'\n'); end fprintf(fid,[proptype '\n']); fprintf(fid,[repmat('%.16f\t', 1, size(nodeprop,2)) '\n'],nodeprop'); fclose(fid); end octave-iso2mesh-1.9.6+ds/meshconn.m0000644001356000007640000000174413724766530016130 0ustar fangqadminfunction [conn,connnum,count]=meshconn(elem,nn) % % [conn,connnum,count]=meshconn(elem,nn) % % create node neighbor list from a mesh % % author: Qianqian Fang, % date: 2007/11/21 % % input: % elem: element table of a mesh % nn : total node number of the mesh % % output: % conn: output, a cell structure of length nn, conn{n} % contains a list of all neighboring node ID for node n % connnum: vector of length nn, denotes the neighbor number of each node % count: total neighbor numbers % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % conn=cell(nn,1); dim=size(elem); for i=1:dim(1) for j=1:dim(2) conn{elem(i,j)}=[conn{elem(i,j)},elem(i,:)]; end end count=0; connnum=zeros(1,nn); for i=1:nn if(length(conn{i})==0) continue; end %conn{i}=sort(setdiff(unique(conn{i}),i)); neig=unique(conn{i}); neig(neig==i)=[]; conn{i}=neig; connnum(i)=length(conn{i}); count=count+connnum(i); end octave-iso2mesh-1.9.6+ds/edgeneighbors.m0000644001356000007640000000507213724766530017121 0ustar fangqadminfunction edgenb=edgeneighbors(t,opt) % % edgenb=edgeneighbors(t,opt) % % to find neighboring triangular elements in a triangule surface % % author: Qianqian Fang, % % input: % t: a triangular surface element list, 3 columns of integers % opt: if opt='general', return the edge neighbors for a general % triangular surface: each edge can be shared by more than 2 % triangles; if ignored, we assume all triangles are shared by no % more than 2 triangles. % % output: % edgenb: if opt is not supplied, edgenb is a size(t,1) by 3 array with % each element being the triangle ID of the edge neighbor of that % triangle. For each row, the order of the neighbors is listed as those % sharing edges [1 2], [2 3] and [3 1] between the triangle nodes. % % when opt='general', edgenb is a cell array with a length of size(t). % each member of the cell array is a list of edge neighbors (the order % is not defined). % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % edges=[t(:,[1,2]); t(:,[2,3]); t(:,[3 1])]; edges=sort(edges,2); [foo,ix,jx]=unique(edges,'rows'); if(nargin==2) if(strcmp(opt,'general')) ne=size(t,1); edgenb=cell(ne,1); for i=1:ne % this is very slow, need to be optimized nb=unique(mod([find(jx==jx(i) | jx==jx(i+ne) | jx==jx(i+2*ne))]',ne),'first'); nb(nb==0)=ne; edgenb{i}=nb(nb~=i); end return; else error(['supplied option "' opt '" is not supported.']); end end if(isoctavemesh) u=unique(jx); qx=u(hist(jx,u)==2); else vec=histc(jx,1:max(jx)); qx=find(vec==2); end nn=max(t(:)); ne=size(t,1); edgenb=zeros(size(t)); % now I need to find all repeatitive elements % that share a face, to do this, unique('first') % will give me the 1st element, and 'last' will % give me the second. There will be no more than 2 % doing this is 60 times faster than doing find(jx==qx(i)) % inside a loop [ujx,ii]=unique(jx,'first'); [ujx,ii2]=unique(jx,'last'); % iddup is the list of all pairs that share a common face iddup=[ii(qx) ii2(qx)]; faceid=ceil(iddup/ne); eid=mod(iddup,ne); eid(eid==0)=ne; % now rearrange this list into an element format for i=1:length(qx) edgenb(eid(i,1),faceid(i,1))=eid(i,2); edgenb(eid(i,2),faceid(i,2))=eid(i,1); end % edgenb may contain 0s, that just means the corresponding % face is a boundary face and has no neighbor. % if the second option is 'surface', I am going to find % and return surface patches only octave-iso2mesh-1.9.6+ds/surfpart.m0000644001356000007640000000210113724766530016150 0ustar fangqadminfunction elist=surfpart(f,loopedge) % % elist=surfpart(f,loopedge) % % partition a triangular surface using a closed loop defined by existing edges % % author: Qianqian Fang, % date: 2012/02/09 % % input: % f: input, surface face element list, dimension (be,3) % loopedge: a 2-column array, specifying a closed loop in CCW order % % output: % elist: list of triangles that is enclosed by the loop % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % elist=[]; if(isempty(f) || isempty(loopedge)) return; end if(size(f,2)==3) edges=[f(:,[1,2]); f(:,[2,3]); f(:,[3,1])]; % create all the edges elseif(size(f,2)==4) edges=[f(:,[1,2]); f(:,[2,3]); f(:,[3,4]); f(:,[4,1])]; % create all the edges else error('surfpart only supports triangular and quadrilateral elements'); end [elist,front]=advancefront(edges,loopedge); while(~isempty(front)) [elist0,front0]=advancefront(edges,front); elist=unique([elist;elist0]); front=front0; end octave-iso2mesh-1.9.6+ds/sortmesh.m0000644001356000007640000000310713724766530016155 0ustar fangqadminfunction [no,el,fc,nodemap]=sortmesh(origin,node,elem,ecol,face,fcol) % % [no,el,fc]=sortmesh(origin,node,elem,face) % % sort nodes and elements in a mesh so that the indexed % nodes and elements are closer to each order % (this may reduce cache-miss in a calculation) % % author: Qianqian Fang, % date: 2010/05/06 % % input: % origin: sorting all nodes and elements with the distance and % angles wrt this location, if origin=[], it will be % node(1,:) % node: list of nodes % elem: list of elements (each row are indices of nodes of each element) % ecol: list of columns in elem to participate sorting % face: list of surface triangles (this can be omitted) % fcol: list of columns in face to participate sorting % % output: % no: node coordinates in the sorted order % el: the element list in the sorted order % fc: the surface triangle list in the sorted order (can be ignored) % nodemap: the new node mapping order, no=node(nodemap,:) % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % if(isempty(origin)) origin=node(1,:); end sdist=node-repmat(origin,size(node,1),1); [theta,phi,R]=cart2sph(sdist(:,1),sdist(:,2),sdist(:,3)); sdist=[R,phi,theta]; [nval,nodemap]=sortrows(sdist); no=node(nodemap,:); [nval,nidx]=sortrows(nodemap); el=elem; if(nargin<4) ecol=1:size(elem,2); end el(:,ecol)=sort(nidx(elem(:,ecol)),2); el=sortrows(el,ecol); if(nargin>=5 && nargout==3) if(nargin<6) fcol=1:size(face,2); end fc=face; fc(:,fcol)=sort(nidx(face(:,fcol)),2); fc=sortrows(fc,fcol); end octave-iso2mesh-1.9.6+ds/savebj.m0000644001356000007640000010222613724766530015565 0ustar fangqadminfunction json=savebj(rootname,obj,varargin) % % bjd=savebj(obj) % or % bjd=savebj(rootname,obj,filename) % bjd=savebj(rootname,obj,opt) % bjd=savebj(rootname,obj,'param1',value1,'param2',value2,...) % % Convert a MATLAB object (cell, struct, array, table, map, handles ...) % into a Binary JData (BJData v1 Draft-1), Universal Binary JSON (UBJSON, % Draft-12) or a MessagePack binary stream % % author: Qianqian Fang (q.fang neu.edu) % initially created on 2013/08/17 % % By default, this function creates BJD-compliant output. The BJD % specification is largely similar to UBJSON, with additional data types % including uint16(u), uint32(m), uint64(M) and half-precision float (h) % % Format specifications: % Binary JData (BJD): https://github.com/fangq/bjdata % UBJSON: https://github.com/ubjson/universal-binary-json % MessagePack: https://github.com/msgpack/msgpack % % input: % rootname: the name of the root-object, when set to '', the root name % is ignored, however, when opt.ForceRootName is set to 1 (see below), % the MATLAB variable name will be used as the root name. % obj: a MATLAB object (array, cell, cell array, struct, struct array, % class instance) % filename: a string for the file name to save the output UBJSON data % opt: a struct for additional options, ignore to use default values. % opt can have the following fields (first in [.|.] is the default) % % FileName [''|string]: a file name to save the output JSON data % ArrayToStruct[0|1]: when set to 0, savebj outputs 1D/2D % array in JSON array format; if sets to 1, an % array will be shown as a struct with fields % "_ArrayType_", "_ArraySize_" and "_ArrayData_"; for % sparse arrays, the non-zero elements will be % saved to "_ArrayData_" field in triplet-format i.e. % (ix,iy,val) and "_ArrayIsSparse_":true will be added % with a value of 1; for a complex array, the % "_ArrayData_" array will include two rows % (4 for sparse) to record the real and imaginary % parts, and also "_ArrayIsComplex_":true is added. % Other annotations include "_ArrayShape_" and % "_ArrayOrder_", "_ArrayZipLevel_" etc. % NestArray [0|1]: If set to 1, use nested array constructs % to store N-dimensional arrays (compatible with % UBJSON specification Draft 12); if set to 0, % use the JData (v0.5) optimized N-D array header; % NestArray is automatically set to 1 when % MessagePack is set to 1 % ParseLogical [1|0]: if this is set to 1, logical array elem % will use true/false rather than 1/0. % SingletArray [0|1]: if this is set to 1, arrays with a single % numerical element will be shown without a square % bracket, unless it is the root object; if 0, square % brackets are forced for any numerical arrays. % SingletCell [1|0]: if 1, always enclose a cell with "[]" % even it has only one element; if 0, brackets % are ignored when a cell has only 1 element. % ForceRootName [0|1]: when set to 1 and rootname is empty, savebj % will use the name of the passed obj variable as the % root object name; if obj is an expression and % does not have a name, 'root' will be used; if this % is set to 0 and rootname is empty, the root level % will be merged down to the lower level. % JSONP [''|string]: to generate a JSONP output (JSON with padding), % for example, if opt.JSON='foo', the JSON data is % wrapped inside a function call as 'foo(...);' % UnpackHex [1|0]: conver the 0x[hex code] output by loadjson % back to the string form % Compression 'zlib', 'gzip', 'lzma', 'lzip', 'lz4' or 'lz4hc': specify array % compression method; currently only supports 6 methods. The % data compression only applicable to numerical arrays % in 3D or higher dimensions, or when ArrayToStruct % is 1 for 1D or 2D arrays. If one wants to % compress a long string, one must convert % it to uint8 or int8 array first. The compressed % array uses three extra fields % "_ArrayZipType_": the opt.Compression value. % "_ArrayZipSize_": a 1D interger array to % store the pre-compressed (but post-processed) % array dimensions, and % "_ArrayZipData_": the binary stream of % the compressed binary array data WITHOUT % 'base64' encoding % CompressArraySize [100|int]: only to compress an array if the total % element count is larger than this number. % CompressStringSize [400|int]: only to compress a string if the total % element count is larger than this number. % MessagePack [0|1]: output MessagePack (https://msgpack.org/) % binary stream instead of BJD/UBJSON % UBJSON [0|1]: 0: (default)-encode data based on BJData Draft 1 % (supports uint16(u)/uint32(m)/uint64(M)/half(h) markers) % 1: encode data based on UBJSON Draft 12 (without % u/m/M/h markers) % FormatVersion [2|float]: set the JSONLab output version; since % v2.0, JSONLab uses JData specification Draft 3 % for output format, it is incompatible with releases % older than v1.9.8; if old output is desired, % please set FormatVersion to 1.9 or earlier. % KeepType [0|1]: if set to 1, use the original data type to store % integers instead of converting to the integer type % of the minimum length without losing accuracy (default) % Debug [0|1]: output binary numbers in <%g> format for debugging % Append [0|1]: if set to 1, append a new object at the end of the file. % Endian ['n'|'b','l']: Endianness of the output file ('n': native, % 'b': big endian, 'l': little-endian) % PreEncode [1|0]: if set to 1, call jdataencode first to preprocess % the input data before saving % % opt can be replaced by a list of ('param',value) pairs. The param % string is equivallent to a field in opt and is case sensitive. % output: % bjd: a binary string in the UBJSON format (see http://ubjson.org) % % examples: % jsonmesh=struct('MeshVertex3',[0 0 0;1 0 0;0 1 0;1 1 0;0 0 1;1 0 1;0 1 1;1 1 1],... % 'MeshTet4',[1 2 4 8;1 3 4 8;1 2 6 8;1 5 6 8;1 5 7 8;1 3 7 8],... % 'MeshTri3',[1 2 4;1 2 6;1 3 4;1 3 7;1 5 6;1 5 7;... % 2 8 4;2 8 6;3 8 4;3 8 7;5 8 6;5 8 7],... % 'MeshCreator','FangQ','MeshTitle','T6 Cube',... % 'SpecialData',[nan, inf, -inf]); % savebj(jsonmesh) % savebj('',jsonmesh,'meshdata.bjd') % savebj('mesh1',jsonmesh,'FileName','meshdata.msgpk','MessagePack',1) % savebj('',jsonmesh,'ubjson',1) % % license: % BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details % % -- this function is part of JSONLab toolbox (http://iso2mesh.sf.net/cgi-bin/index.cgi?jsonlab) % if(nargin==1) varname=inputname(1); obj=rootname; rootname=varname; else varname=inputname(2); end if(length(varargin)==1 && ischar(varargin{1})) opt=struct('filename',varargin{1}); else opt=varargin2struct(varargin{:}); end opt.isoctave=isoctavemesh; opt.compression=jsonopt('Compression','',opt); opt.nestarray=jsonopt('NestArray',0,opt); opt.formatversion=jsonopt('FormatVersion',2,opt); opt.compressarraysize=jsonopt('CompressArraySize',100,opt); opt.compressstringsize=jsonopt('CompressStringSize',opt.compressarraysize*4,opt); opt.singletcell=jsonopt('SingletCell',1,opt); opt.singletarray=jsonopt('SingletArray',0,opt); opt.arraytostruct=jsonopt('ArrayToStruct',0,opt); opt.debug=jsonopt('Debug',0,opt); opt.messagepack=jsonopt('MessagePack',0,opt); opt.num2cell_=0; opt.ubjson=bitand(jsonopt('UBJSON',0,opt), ~opt.messagepack); opt.keeptype=jsonopt('KeepType',0,opt); opt.nosubstruct_=0; if(jsonopt('PreEncode',1,opt)) obj=jdataencode(obj,'Base64',0,'UseArrayZipSize',opt.messagepack,opt); end dozip=opt.compression; if(~isempty(dozip)) if(isempty(strmatch(dozip,{'zlib','gzip','lzma','lzip','lz4','lz4hc'}))) error('compression method "%s" is not supported',dozip); end if(exist('zmat','file')~=2 && exist('zmat','file')~=3) try error(javachk('jvm')); try base64decode('test'); catch matlab.net.base64decode('test'); end catch error('java-based compression is not supported'); end end end if(~opt.messagepack) if(~opt.ubjson) opt.IM_='UiuImlML'; opt.IType_={'uint8','int8','uint16','int16','uint32','int32','uint64','int64'}; opt.IByte_=[1,1,2,2,4,4,8,8]; opt.FM_='hdD'; opt.FType_={'half','single','double'}; opt.FByte_=[2,4,8]; else opt.IM_='UiIlL'; opt.IType_={'uint8','int8','int16','int32','int64'}; opt.IByte_=[1,1,2,4,8]; opt.FM_='IdD'; opt.FType_={'int16','single','double'}; opt.FByte_=[2,4,8]; end opt.FTM_='FT'; opt.SM_='CS'; opt.ZM_='Z'; opt.OM_={'{','}'}; opt.AM_={'[',']'}; else opt.IM_=char([hex2dec('cc') hex2dec('d0') hex2dec('cd') hex2dec('d1') hex2dec('ce') hex2dec('d2') hex2dec('cf') hex2dec('d3')]); opt.IType_={'uint8','int8','uint16','int16','uint32','int32','uint64','int64'}; opt.IByte_=[1,1,2,2,4,4,8,8]; opt.FM_=char([hex2dec('cd') hex2dec('ca') hex2dec('cb')]); % MsgPack does not have half-precision, map to uint16 opt.FType_={'int16','single','double'}; opt.FByte_=[2,4,8]; opt.FTM_=char([hex2dec('c2') hex2dec('c3')]); opt.SM_=char([hex2dec('a1') hex2dec('db')]); opt.ZM_=char(hex2dec('c0')); opt.OM_={char(hex2dec('df')),''}; opt.AM_={char(hex2dec('dd')),''}; end rootisarray=0; rootlevel=1; forceroot=jsonopt('ForceRootName',0,opt); if((isnumeric(obj) || islogical(obj) || ischar(obj) || isstruct(obj) || ... iscell(obj) || isobject(obj)) && isempty(rootname) && forceroot==0) rootisarray=1; rootlevel=0; else if(isempty(rootname)) rootname=varname; end end if((isstruct(obj) || iscell(obj))&& isempty(rootname) && forceroot) rootname='root'; end json=obj2ubjson(rootname,obj,rootlevel,opt); if(~rootisarray) if(opt.messagepack) json=[char(129) json opt.OM_{2}]; else json=[opt.OM_{1} json opt.OM_{2}]; end end jsonp=jsonopt('JSONP','',opt); if(~isempty(jsonp)) json=[jsonp '(' json ')']; end % save to a file if FileName is set, suggested by Patrick Rapin filename=jsonopt('FileName','',opt); if(~isempty(filename)) encoding = jsonopt('Encoding','',opt); endian = jsonopt('Endian','n',opt); writemode='w'; if(jsonopt('Append',0,opt)) writemode='a'; end if(~exist('OCTAVE_VERSION','builtin')) fid = fopen(filename, writemode, endian, encoding); else fid = fopen(filename, writemode, endian); end fwrite(fid,json); fclose(fid); end %%------------------------------------------------------------------------- function txt=obj2ubjson(name,item,level,varargin) if(iscell(item) || isa(item,'string')) txt=cell2ubjson(name,item,level,varargin{:}); elseif(isstruct(item)) txt=struct2ubjson(name,item,level,varargin{:}); elseif(isnumeric(item) || islogical(item)) txt=mat2ubjson(name,item,level,varargin{:}); elseif(ischar(item)) if(numel(item)>=varargin{1}.compressstringsize) txt=mat2ubjson(name,item,level,varargin{:}); else txt=str2ubjson(name,item,level,varargin{:}); end elseif(isa(item,'function_handle')) txt=struct2ubjson(name,functions(item),level,varargin{:}); elseif(isa(item,'containers.Map')) txt=map2ubjson(name,item,level,varargin{:}); elseif(isa(item,'categorical')) txt=cell2ubjson(name,cellstr(item),level,varargin{:}); elseif(isa(item,'table')) txt=matlabtable2ubjson(name,item,level,varargin{:}); elseif(isa(item,'graph') || isa(item,'digraph')) txt=struct2ubjson(name,jdataencode(item),level,varargin{:}); elseif(isobject(item)) txt=matlabobject2ubjson(name,item,level,varargin{:}); else txt=any2ubjson(name,item,level,varargin{:}); end %%------------------------------------------------------------------------- function txt=cell2ubjson(name,item,level,varargin) txt=''; if(~iscell(item) && ~isa(item,'string')) error('input is not a cell'); end isnum2cell=varargin{1}.num2cell_; if(isnum2cell) item=squeeze(item); else format=varargin{1}.formatversion; if(format>1.9 && ~isvector(item)) item=permute(item,ndims(item):-1:1); end end dim=size(item); if(ndims(squeeze(item))>2) % for 3D or higher dimensions, flatten to 2D for now item=reshape(item,dim(1),numel(item)/dim(1)); dim=size(item); end bracketlevel=~varargin{1}.singletcell; Zmarker=varargin{1}.ZM_; Imarker=varargin{1}.IM_; Amarker=varargin{1}.AM_; if(~strcmp(Amarker{1},'[')) am0=Imsgpk_(dim(2),220,144,varargin{:}); else am0=Amarker{1}; end len=numel(item); % let's handle 1D cell first if(len>bracketlevel) if(~isempty(name)) txt=[N_(decodevarname(name,varargin{:}),varargin{:}) am0]; name=''; else txt=am0; end elseif(len==0) if(~isempty(name)) txt=[N_(decodevarname(name,varargin{:}),varargin{:}) Zmarker]; name=''; else txt=Zmarker; end end if(~strcmp(Amarker{1},'[')) am0=Imsgpk_(dim(1),220,144,varargin{:}); end for j=1:dim(2) if(dim(1)>1) txt=[txt am0]; end for i=1:dim(1) txt=[txt char(obj2ubjson(name,item{i,j},level+(len>bracketlevel),varargin{:}))]; end if(dim(1)>1) txt=[txt Amarker{2}]; end end if(len>bracketlevel) txt=[txt Amarker{2}]; end %%------------------------------------------------------------------------- function txt=struct2ubjson(name,item,level,varargin) txt=''; if(~isstruct(item)) error('input is not a struct'); end dim=size(item); if(ndims(squeeze(item))>2) % for 3D or higher dimensions, flatten to 2D for now item=reshape(item,dim(1),numel(item)/dim(1)); dim=size(item); end len=numel(item); forcearray= (len>1 || (varargin{1}.singletarray==1 && level>0)); Imarker=varargin{1}.IM_; Amarker=varargin{1}.AM_; Omarker=varargin{1}.OM_; if(isfield(item,encodevarname('_ArrayType_',varargin{:}))) varargin{1}.nosubstruct_=1; end if(~strcmp(Amarker{1},'[')) am0=Imsgpk_(dim(2),220,144,varargin{:}); else am0=Amarker{1}; end if(~isempty(name)) if(forcearray) txt=[N_(decodevarname(name,varargin{:}),varargin{:}) am0]; end else if(forcearray) txt=am0; end end if(~strcmp(Amarker{1},'[')) am0=Imsgpk_(dim(1),220,144,varargin{:}); end for j=1:dim(2) if(dim(1)>1) txt=[txt am0]; end for i=1:dim(1) names = fieldnames(item(i,j)); if(~strcmp(Omarker{1},'{')) om0=Imsgpk_(length(names),222,128,varargin{:}); else om0=Omarker{1}; end if(~isempty(name) && len==1 && ~forcearray) txt=[txt N_(decodevarname(name,varargin{:}),varargin{:}) om0]; else txt=[txt om0]; end if(~isempty(names)) for e=1:length(names) txt=[txt obj2ubjson(names{e},item(i,j).(names{e}),... level+(dim(1)>1)+1+forcearray,varargin{:})]; end end txt=[txt Omarker{2}]; end if(dim(1)>1) txt=[txt Amarker{2}]; end end if(forcearray) txt=[txt Amarker{2}]; end %%------------------------------------------------------------------------- function txt=map2ubjson(name,item,level,varargin) txt=''; if(~isa(item,'containers.Map')) error('input is not a struct'); end dim=size(item); names = keys(item); val= values(item); Omarker=varargin{1}.OM_; if(~strcmp(Omarker{1},'{')) om0=Imsgpk_(length(names),222,128,varargin{:}); else om0=Omarker{1}; end len=prod(dim); forcearray= (len>1 || (varargin{1}.singletarray==1 && level>0)); if(~isempty(name)) if(forcearray) txt=[N_(decodevarname(name,varargin{:}),varargin{:}) om0]; end else if(forcearray) txt=om0; end end for i=1:dim(1) if(~isempty(names{i})) txt=[txt obj2ubjson(names{i},val{i},... level+(dim(1)>1),varargin{:})]; end end if(forcearray) txt=[txt Omarker{2}]; end %%------------------------------------------------------------------------- function txt=str2ubjson(name,item,level,varargin) txt=''; if(~ischar(item)) error('input is not a string'); end item=reshape(item, max(size(item),[1 0])); len=size(item,1); Amarker=varargin{1}.AM_; if(~strcmp(Amarker{1},'[')) am0=Imsgpk_(len,220,144,varargin{:}); else am0=Amarker{1}; end if(~isempty(name)) if(len>1) txt=[N_(decodevarname(name,varargin{:}),varargin{:}) am0]; end else if(len>1) txt=am0; end end for e=1:len val=item(e,:); if(len==1) obj=[N_(decodevarname(name,varargin{:}),varargin{:}) '' '',S_(val,varargin{:}),'']; if(isempty(name)) obj=['',S_(val,varargin{:}),'']; end txt=[txt,'',obj]; else txt=[txt,'',['',S_(val,varargin{:}),'']]; end end if(len>1) txt=[txt Amarker{2}]; end %%------------------------------------------------------------------------- function txt=mat2ubjson(name,item,level,varargin) if(~isnumeric(item) && ~islogical(item) && ~ischar(item)) error('input is not an array'); end dozip=varargin{1}.compression; zipsize=varargin{1}.compressarraysize; format=varargin{1}.formatversion; Zmarker=varargin{1}.ZM_; FTmarker=varargin{1}.FTM_; Imarker=varargin{1}.IM_; Omarker=varargin{1}.OM_; isnest=varargin{1}.nestarray; ismsgpack=varargin{1}.messagepack; opt=varargin{1}; if(ismsgpack) isnest=1; end if(~varargin{1}.nosubstruct_ && ((length(size(item))>2 && isnest==0) || ... issparse(item) || ~isreal(item) || varargin{1}.arraytostruct || ... (~isempty(dozip) && numel(item)>zipsize)) ) cid=I_(uint32(max(size(item))),varargin{:}); if(isempty(name)) txt=[Omarker{1} N_('_ArrayType_',opt),S_(class(item),opt),N_('_ArraySize_',opt),I_a(size(item),cid(1),varargin{:}) ]; else if(isempty(item)) txt=[N_(decodevarname(name,varargin{:}),opt),Zmarker]; return; else txt=[N_(decodevarname(name,varargin{:}),opt),Omarker{1},N_('_ArrayType_',opt),S_(class(item),opt),N_('_ArraySize_',opt),I_a(size(item),cid(1),varargin{:})]; end end childcount=2; else if(isempty(name)) txt=matdata2ubjson(item,level+1,varargin{:}); else if(numel(item)==1 && varargin{1}.singletarray==0) numtxt=matdata2ubjson(item,level+1,varargin{:}); txt=[N_(decodevarname(name,varargin{:}),opt) char(numtxt)]; else txt=[N_(decodevarname(name,varargin{:}),opt),char(matdata2ubjson(item,level+1,varargin{:}))]; end end return; end if(issparse(item)) [ix,iy]=find(item); data=full(item(find(item))); if(~isreal(item)) data=[real(data(:)),imag(data(:))]; if(size(item,1)==1) % Kludge to have data's 'transposedness' match item's. % (Necessary for complex row vector handling below.) data=data'; end txt=[txt,N_('_ArrayIsComplex_',opt),FTmarker(2)]; childcount=childcount+1; end txt=[txt,N_('_ArrayIsSparse_',opt),FTmarker(2)]; childcount=childcount+1; if(~isempty(dozip) && numel(data*2)>zipsize) if(size(item,1)==1) % Row vector, store only column indices. fulldata=[iy(:),data']; elseif(size(item,2)==1) % Column vector, store only row indices. fulldata=[ix,data]; else % General case, store row and column indices. fulldata=[ix,iy,data]; end cid=I_(uint32(max(size(fulldata))),varargin{:}); txt=[txt, N_('_ArrayZipSize_',opt),I_a(size(fulldata),cid(1),varargin{:})]; txt=[txt, N_('_ArrayZipType_',opt),S_(dozip,opt)]; compfun=str2func([dozip 'encode']); txt=[txt,N_('_ArrayZipData_',opt), I_a(compfun(typecast(fulldata(:),'uint8')),Imarker(1),varargin{:})]; childcount=childcount+3; else if(size(item,1)==1) % Row vector, store only column indices. fulldata=[iy(:),data']; elseif(size(item,2)==1) % Column vector, store only row indices. fulldata=[ix,data]; else % General case, store row and column indices. fulldata=[ix,iy,data]; end if(ismsgpack) cid=I_(uint32(max(size(fulldata))),varargin{:}); txt=[txt,N_('_ArrayZipSize_',opt),I_a(size(fulldata),cid(1),varargin{:})]; childcount=childcount+1; end varargin{:}.ArrayToStruct=0; txt=[txt,N_('_ArrayData_',opt),... cell2ubjson('',num2cell(fulldata',2)',level+2,varargin{:})]; childcount=childcount+1; end else if(format>1.9) item=permute(item,ndims(item):-1:1); end if(~isempty(dozip) && numel(item)>zipsize) if(isreal(item)) fulldata=item(:)'; if(islogical(fulldata) || ischar(fulldata)) fulldata=uint8(fulldata); end else txt=[txt,N_('_ArrayIsComplex_',opt),FTmarker(2)]; childcount=childcount+1; fulldata=[real(item(:)) imag(item(:))]; end cid=I_(uint32(max(size(fulldata))),varargin{:}); txt=[txt, N_('_ArrayZipSize_',opt),I_a(size(fulldata),cid(1),varargin{:})]; txt=[txt, N_('_ArrayZipType_',opt),S_(dozip,opt)]; compfun=str2func([dozip 'encode']); txt=[txt,N_('_ArrayZipData_',opt), I_a(compfun(typecast(fulldata(:),'uint8')),Imarker(1),varargin{:})]; childcount=childcount+3; else if(ismsgpack) cid=I_(uint32(length(item(:))),varargin{:}); txt=[txt,N_('_ArrayZipSize_',opt),I_a([~isreal(item)+1 length(item(:))],cid(1),varargin{:})]; childcount=childcount+1; end if(isreal(item)) txt=[txt,N_('_ArrayData_',opt),... matdata2ubjson(item(:)',level+2,varargin{:})]; childcount=childcount+1; else txt=[txt,N_('_ArrayIsComplex_',opt),FTmarker(2)]; txt=[txt,N_('_ArrayData_',opt),... matdata2ubjson([real(item(:)) imag(item(:))]',level+2,varargin{:})]; childcount=childcount+2; end end end if(Omarker{1}~='{') idx=find(txt==Omarker{1},1,'first'); if(~isempty(idx)) txt=[txt(1:idx-1) Imsgpk_(childcount,222,128,varargin{:}) txt(idx+1:end)]; end end txt=[txt,Omarker{2}]; %%------------------------------------------------------------------------- function txt=matlabtable2ubjson(name,item,level,varargin) st=containers.Map(); st('_TableRecords_')=table2cell(item); st('_TableRows_')=item.Properties.RowNames'; st('_TableCols_')=item.Properties.VariableNames; if(isempty(name)) txt=map2ubjson(name,st,level,varargin{:}); else temp=struct(name,struct()); temp.(name)=st; txt=map2ubjson(name,temp.(name),level,varargin{:}); end %%------------------------------------------------------------------------- function txt=matlabobject2ubjson(name,item,level,varargin) try if numel(item) == 0 %empty object st = struct(); elseif numel(item) == 1 % txt = str2ubjson(name, char(item), level, varargin(:)); return else propertynames = properties(item); for p = 1:numel(propertynames) for o = numel(item):-1:1 % aray of objects st(o).(propertynames{p}) = item(o).(propertynames{p}); end end end txt = struct2ubjson(name,st,level,varargin{:}); catch txt = any2ubjson(name,item, level, varargin(:)); end %%------------------------------------------------------------------------- function txt=matdata2ubjson(mat,level,varargin) Zmarker=varargin{1}.ZM_; if(isempty(mat)) txt=Zmarker; return; end FTmarker=varargin{1}.FTM_; Imarker=varargin{1}.IM_; Fmarker=varargin{1}.FM_; Amarker=varargin{1}.AM_; isnest=varargin{:}.nestarray; ismsgpack=varargin{1}.messagepack; format=varargin{1}.formatversion; isnum2cell=varargin{1}.num2cell_; if(ismsgpack) isnest=1; end if(~isvector(mat) && isnest==1) if(format>1.9 && isnum2cell==0) mat=permute(mat,ndims(mat):-1:1); end varargin{1}.num2cell_=1; end if(isa(mat,'integer') || isinteger(mat) || (~varargin{1}.keeptype && isfloat(mat) && all(mod(mat(:),1) == 0))) if(~isvector(mat) && isnest==1) txt=cell2ubjson('',num2cell(mat,1),level,varargin{:}); elseif(~ismsgpack || size(mat,1)==1) if(varargin{1}.keeptype) itype=class(mat); idx=find(ismember(varargin{1}.IType_,itype)); if(isempty(idx)) idx=find(ismember(varargin{1}.IType_,itype(2:end))); end type=Imarker(idx); if(numel(mat)==1) varargin{1}.inttype_=idx; end elseif(~any(mat<0)) cid=varargin{1}.IType_; type=Imarker(end); maxdata=max(double(mat(:))); for i=1:length(cid) if(maxdata==cast(maxdata,cid{i})) type=Imarker(i); break; end end else cid=varargin{1}.IType_; type=Imarker(end); mindata=min(double(mat(:))); maxdata=max(double(mat(:))); for i=1:length(cid) if(maxdata==cast(maxdata,cid{i}) && mindata==cast(mindata,cid{i})) type=Imarker(i); break; end end end if(numel(mat)==1) if(mat<0) txt=I_(int64(mat),varargin{:}); else txt=I_(uint64(mat),varargin{:}); end else txt=I_a(mat(:),type,size(mat),varargin{:}); end else txt=cell2ubjson('',num2cell(mat,2),level,varargin{:}); end elseif(islogical(mat)) logicalval=FTmarker; if(numel(mat)==1) txt=logicalval(mat+1); else if(~isvector(mat) && isnest==1) txt=cell2ubjson('',num2cell(uint8(mat),1),level,varargin{:}); else txt=I_a(uint8(mat(:)),Imarker(1),size(mat),varargin{:}); end end else am0=Amarker{1}; if(Amarker{1}~='[') am0=char(145); end if(numel(mat)==1) txt=[am0 D_(mat,varargin{:}) Amarker{2}]; else if(~isvector(mat) && isnest==1) txt=cell2ubjson('',num2cell(mat,1),level,varargin{:}); else txt=D_a(mat(:),Fmarker(3),size(mat),varargin{:}); end end end %%------------------------------------------------------------------------- function val=N_(str,varargin) ismsgpack=varargin{1}.messagepack; if(~ismsgpack) val=[I_(int32(length(str)),varargin{:}) str]; else val=S_(str,varargin{:}); end %%------------------------------------------------------------------------- function val=S_(str,varargin) ismsgpack=varargin{1}.messagepack; Smarker=varargin{1}.SM_; if(length(str)==1) val=[Smarker(1) str]; else if(ismsgpack) val=[Imsgpk_(length(str),218,160,varargin{:}) str]; else val=['S' I_(int32(length(str)),varargin{:}) str]; end end %%------------------------------------------------------------------------- function val=Imsgpk_(num,base1,base0,varargin) if(num<16) val=char(uint8(num)+uint8(base0)); return; end val=I_(uint32(num),varargin{:}); if(val(1)>char(210)) num=uint32(num); val=[char(210) data2byte(swapbytes(cast(num,'uint32')),'uint8')]; elseif(val(1)',num)]; else val=[Imarker(varargin{1}.inttype_) data2byte(swapbytes(cast(num,cid{varargin{1}.inttype_})),'uint8')]; end return; end if(Imarker(1)~='U') if(num>=0 && num<127) val=uint8(num); return; end if(num<0 && num>=-31) val=typecast(int8(num), 'uint8'); return; end end if(Imarker(1)~='U' && num<0 && num<127) val=data2byte((swapbytes(cast(num,'uint8')) & 127),'uint8'); return; end key=Imarker; for i=1:length(cid) if(num==cast(num,cid{i})) if(isdebug) val=[key(i) sprintf('<%.0f>',num)]; else val=[key(i) data2byte(swapbytes(cast(num,cid{i})),'uint8')]; end return; end end val=S_(sprintf('%.0f',num),varargin{:}); if(Imarker(1)=='U') val(1)='H'; end %%------------------------------------------------------------------------- function val=D_(num, varargin) if(~isfloat(num)) error('input is not a float'); end isdebug=varargin{1}.debug; if(isdebug) output=sprintf('<%g>',num); else output=data2byte(swapbytes(num),'uint8'); end Fmarker=varargin{1}.FM_; if(isa(num,'half')) val=[Fmarker(1) output(:)']; elseif(isa(num,'single')) val=[Fmarker(2) output(:)']; else val=[Fmarker(3) output(:)']; end %%------------------------------------------------------------------------- function data=I_a(num,type,dim,varargin) if(isstruct(dim)) varargin={dim}; end Imarker=varargin{1}.IM_; Amarker=varargin{1}.AM_; if(Imarker(1)~='U' && type<=127) type=char(204); end id=find(ismember(Imarker,type)); if(id==0) error('unsupported integer array'); end % based on UBJSON specs, all integer types are stored in big endian format cid=varargin{1}.IType_; data=data2byte(swapbytes(cast(num,cid{id})),'uint8'); blen=varargin{1}.IByte_(id); isnest=varargin{1}.nestarray; isdebug=varargin{1}.debug; if(isdebug) output=sprintf('<%g>',num); else output=data(:); end if(isnest==0 && numel(num)>1 && Imarker(1)=='U') if(nargin>=4 && ~isstruct(dim) && (length(dim)==1 || (length(dim)>=2 && prod(dim)~=dim(2)))) cid=I_(uint32(max(dim)),varargin{:}); data=['$' type '#' I_a(dim,cid(1),varargin{:}) output(:)']; else data=['$' type '#' I_(int32(numel(data)/blen),varargin{:}) output(:)']; end data=['[' data(:)']; else am0=Amarker{1}; if(Imarker(1)~='U') Amarker={char(hex2dec('dd')),''}; am0=Imsgpk_(numel(num),220,144,varargin{:}); end if(isdebug) data=sprintf([type '<%g>'],num); else data=reshape(data,blen,numel(data)/blen); data(2:blen+1,:)=data; data(1,:)=type; end data=[am0 data(:)' Amarker{2}]; end %%------------------------------------------------------------------------- function data=D_a(num,type,dim,varargin) Fmarker=varargin{1}.FM_; Amarker=varargin{1}.AM_; id=find(ismember(Fmarker,type)); if(id==0) error('unsupported float array'); end data=data2byte(swapbytes(cast(num,varargin{1}.FType_{id})),'uint8'); blen=varargin{1}.FByte_(id); isnest=varargin{1}.nestarray; isdebug=varargin{1}.debug; if(isdebug) output=sprintf('<%g>',num); else output=data(:); end if(isnest==0 && numel(num)>1 && Fmarker(end)=='D') if(nargin>=4 && (length(dim)==1 || (length(dim)>=2 && prod(dim)~=dim(2)))) cid=I_(uint32(max(dim)),varargin{:}); data=['$' type '#' I_a(dim,cid(1),varargin{:}) output(:)']; else data=['$' type '#' I_(int32(numel(data)/blen),varargin{:}) output(:)']; end data=['[' data]; else am0=Amarker{1}; if(Fmarker(end)~='D') Amarker={char(hex2dec('dd')),''}; am0=Imsgpk_(numel(num),220,144,varargin{:}); end if(isdebug) data=sprintf([type '<%g>'],num); else data=reshape(data,blen,length(data)/blen); data(2:(blen+1),:)=data; data(1,:)=type; end data=[am0 data(:)' Amarker{2}]; end %%------------------------------------------------------------------------- function txt=any2ubjson(name,item,level,varargin) st=containers.Map(); st('_DataInfo_')=struct('MATLABObjectClass',class(item),'MATLABObjectSize',size(item)); st('_ByteStream_')=getByteStreamFromArray(item); if(isempty(name)) txt=map2ubjson(name,st,level,varargin{:}); else temp=struct(name,struct()); temp.(name)=st; txt=map2ubjson(name,temp.(name),level,varargin{:}); end %%------------------------------------------------------------------------- function bytes=data2byte(varargin) bytes=typecast(varargin{:}); bytes=char(bytes(:)'); octave-iso2mesh-1.9.6+ds/readsmf.m0000644001356000007640000000146513724766530015737 0ustar fangqadminfunction [node,elem]=readsmf(fname) % % [node,elem]=readsmf(fname) % % read simple model format (SMF) % % author: Qianqian Fang, % date: 2007/11/21 % % input: % fname: name of the SMF data file % % output: % node: node coordinates of the mesh % elem: list of elements of the mesh % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % node=[]; elem=[]; fid=fopen(fname,'rt'); while(~feof(fid)) line=fgetl(fid); if(line(1)=='v') dd=sscanf(line,'v %f %f %f'); if(length(dd)==3) node=[node;dd]; end elseif(line(1)=='f') dd=sscanf(line,'f %d %d %d'); if(length(dd)==3) elem=[elem;dd]; end end end fclose(fid); node=reshape(node,3,length(node)/3)'; elem=reshape(elem,3,length(elem)/3)'; octave-iso2mesh-1.9.6+ds/surfplane.m0000644001356000007640000000120013724766530016300 0ustar fangqadminfunction plane=surfplane(node,face) % % plane=surfplane(node,face) % % plane equation coefficients for each face in a surface % % author: Qianqian Fang, % % input: % node: a list of node coordinates (nn x 3) % face: a surface mesh triangle list (ne x 3) % % output: % plane: a (ne x 4) array, in each row, it has [a b c d] % to denote the plane equation as "a*x+b*y+c*z+d=0" % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % AB=node(face(:,2),1:3)-node(face(:,1),1:3); AC=node(face(:,3),1:3)-node(face(:,1),1:3); N=cross(AB',AC')'; d=-dot(N',node(face(:,1),1:3)')'; plane=[N,d]; octave-iso2mesh-1.9.6+ds/cgals2m.m0000644001356000007640000000555313724766530015650 0ustar fangqadminfunction [node,elem,face]=cgals2m(v,f,opt,maxvol,varargin) % % [node,elem,face]=cgals2m(v,f,opt,maxvol) % % wrapper for CGAL 3D mesher (CGAL 3.5 and newer) % convert a triangular surface to tetrahedral mesh % % http://www.cgal.org/Manual/3.5/doc_html/cgal_manual/Mesh_3/Chapter_main.html % % author: Qianqian Fang (q.fang at neu.edu) % % input: % v: the node coordinate list of a surface mesh (nn x 3) % f: the face element list of a surface mesh (be x 3) % opt: parameters for CGAL mesher, if opt is a structure, then % opt.radbound: defines the maximum surface element size % opt.angbound: defines the miminum angle of a surface triangle % opt.distbound: defines the maximum distance between the % center of the surface bounding circle and center of the % element bounding sphere % opt.reratio: maximum radius-edge ratio % if opt is a scalar, it only specifies radbound. % maxvol: target maximum tetrahedral elem volume % % output: % node: output, node coordinates of the tetrahedral mesh % elem: output, element list of the tetrahedral mesh, the last % column is the region id % face: output, mesh surface element list of the tetrahedral mesh % the last column denotes the boundary ID % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % fprintf(1,'creating surface and tetrahedral mesh from a polyhedral surface ...\n'); exesuff=fallbackexeext(getexeext,'cgalpoly'); ang=30; ssize=6; approx=0.5; reratio=3; flags=varargin2struct(varargin{:}); if(~isstruct(opt)) ssize=opt; end if(isstruct(opt) && length(opt)==1) % does not support settings for multiple labels if(isfield(opt,'radbound')) ssize=opt.radbound; end if(isfield(opt,'angbound')) ang=opt.angbound; end if(isfield(opt,'distbound')) approx=opt.distbound; end if(isfield(opt,'reratio')) reratio=opt.reratio; end end if(getoptkey('DoRepair',0,flags)==1) [v,f]=meshcheckrepair(v,f); end saveoff(v,f,mwpath('pre_cgalpoly.off')); deletemeshfile(mwpath('post_cgalpoly.mesh')); randseed=hex2dec('623F9A9E'); % "U+623F U+9A9E" if(~isempty(getvarfrom({'caller','base'},'ISO2MESH_RANDSEED'))) randseed=getvarfrom({'caller','base'},'ISO2MESH_RANDSEED'); end cmd=sprintf('"%s%s" "%s" "%s" %.16f %.16f %.16f %.16f %.16f %d',mcpath('cgalpoly'),exesuff,... mwpath('pre_cgalpoly.off'),mwpath('post_cgalpoly.mesh'),ang,ssize,... approx,reratio,maxvol,randseed); status=system(cmd); if(status) error('cgalpoly command failed'); end if(~exist(mwpath('post_cgalpoly.mesh'),'file')) error(sprintf('output file was not found, failure was encountered when running command: \n%s\n',cmd)); end [node,elem,face]=readmedit(mwpath('post_cgalpoly.mesh')); fprintf(1,'node number:\t%d\ntriangles:\t%d\ntetrahedra:\t%d\nregions:\t%d\n',... size(node,1),size(face,1),size(elem,1),length(unique(elem(:,end)))); fprintf(1,'surface and volume meshes complete\n'); octave-iso2mesh-1.9.6+ds/loadubjson.m0000644001356000007640000000253013724766530016450 0ustar fangqadminfunction varargout = loadubjson(varargin) % % data=loadubjson(fname,opt) % or % data=loadubjson(fname,'param1',value1,'param2',value2,...) % % Parse a UBJSON file or string and store the output into a MATLAB variable % % author: Qianqian Fang (q.fang neu.edu) % initially created on 2019/06/08 % % This function is an alias to loadbj % % input: % fname: input file name, if fname contains "{}" or "[]", fname % will be interpreted as a UBJSON string % opt: a struct to store parsing options, opt can be replaced by % a list of ('param',value) pairs - the param string is equivallent % to a field in opt. The supported options can be found by typing % "help loadbj". % % output: % data: a cell array, where {...} blocks are converted into cell arrays, % and [...] are converted to arrays % % examples: % obj=struct('string','value','array',[1 2 3]); % ubjdata=saveubjson('obj',obj); % dat=loadubjson(ubjdata) % dat=loadubjson(['examples' filesep 'example1.ubj']) % dat=loadubjson(['examples' filesep 'example1.ubj'],'SimplifyCell',0) % % license: % BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details % % -- this function is part of JSONLab toolbox (http://iso2mesh.sf.net/cgi-bin/index.cgi?jsonlab) % [varargout{1:nargout}]=loadbj(varargin{:}); octave-iso2mesh-1.9.6+ds/innersurf.m0000644001356000007640000000130713724766530016324 0ustar fangqadminfunction [inface, outface]=innersurf(node,face,outface) % % outface=innersurf(node,face,outface) % % extract the interior triangles (shared by two enclosed compartments) of a complex surface % % author: Qianqian Fang, % % input: % node: node coordinates % face: surface triangle list % outface: (optional) the exterior triangle list, if not given, will % be computed using outersurf(). % % output: % inface: the collection of interior triangles of the surface mesh % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % if(nargin<3) outface=outersurf(node,face); end [I,J]=ismember(sort(face,2),sort(outface,2),'rows'); inface=face(I==0,:); octave-iso2mesh-1.9.6+ds/closestnode.m0000644001356000007640000000124613724766530016635 0ustar fangqadminfunction [idx, dist]=closestnode(node,p) % % [idx, dist]=closestnode(node,p) % % Find the closest point in a node list and return its index % author: Qianqian Fang (q.fang at neu.edu) % % input: % node: each row is an N-D node coordinate % p: a given position in the same space % % output: % idx: the index of the position in the node list that has the shortest % Euclidean distance to the position p % dist: the distances between p and each node % % % -- this function is part of brain2mesh toolbox (http://mcx.space/brain2mesh) % License: GPL v3 or later, see LICENSE.txt for details % dd=node-repmat(p,size(node,1),1); [dist,idx]=min(sum(dd.*dd,2)); octave-iso2mesh-1.9.6+ds/lz4decode.m0000644001356000007640000000265113724766530016171 0ustar fangqadminfunction varargout = lz4decode(varargin) % % output = lz4decode(input) % or % output = lz4decode(input,info) % % Decompressing an LZ4-compressed byte-stream to recover the original data % This function depends on the ZMat toolbox (http://github.com/fangq/zmat) % % authors:Qianqian Fang (q.fang neu.edu) % % input: % input: a string, int8/uint8 vector or numerical array to store LZ4-compressed data % info (optional): a struct produced by the zmat/lz4encode function during % compression; if not given, the inputs/outputs will be treated as a % 1-D vector % % output: % output: the decompressed byte stream stored in a uint8 vector; if info is % given, output will restore the original data's type and dimensions % % examples: % [bytes, info]=lz4encode(eye(10)); % orig=lz4decode(bytes,info); % % license: % BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details % % -- this function is part of JSONLab toolbox (http://iso2mesh.sf.net/cgi-bin/index.cgi?jsonlab) % if(nargin==0) error('you must provide at least 1 input'); end if(exist('zmat','file')==2 || exist('zmat','file')==3) if(nargin>1) [varargout{1:nargout}]=zmat(varargin{1},varargin{2:end}); else [varargout{1:nargout}]=zmat(varargin{1},0,'lz4',varargin{2:end}); end else error('you must install ZMat toolbox to use this feature: http://github.com/fangq/zmat') end octave-iso2mesh-1.9.6+ds/affinemap.m0000644001356000007640000000210313724766530016232 0ustar fangqadminfunction [A,b]=affinemap(pfrom,pto) % [A,b]=affinemap(pfrom,pto) % % calculate an affine transform (A matrix and b vector) to map n % vertices from one space to the other using least square solutions % % author: Qianqian Fang % date: 12/12/2008 % % parameters: % pfrom: nx3 matrix, each row is a 3d point in original space % pto: nx3 matrix, each row is a 3d point in the mapped space % % outputs: % A: 3x3 matrix, the calculated affine A matrix % b: 3x1 vector, the calculated affine b vector % % the solution will satisfy the following equation: A*pfrom'+b=pto % % Please find more information at http://iso2mesh.sf.net/cgi-bin/index.cgi?metch % % this function is part of "metch" toobox, see COPYING for license bsubmat=eye(3); ptnum=size(pfrom,1); if(size(pto,1)~=ptnum) error('two inputs should have the same size'); end amat=zeros(ptnum*3,9); for i=1:ptnum amat(i*3-2:i*3,:)=kron(bsubmat,pfrom(i,:)); end amat=[amat,repmat(bsubmat,ptnum,1)]; bvec=pto'; bvec=bvec(:); x=amat\bvec; A=reshape(x(1:9),3,3)'; b=x(end-2:end); octave-iso2mesh-1.9.6+ds/nodevolume.m0000644001356000007640000000142013724766530016462 0ustar fangqadminfunction nodevol=nodevolume(node,elem, evol) % % nodevol=nodevolume(node,elem) % % calculate the volumes of the cells in the barycentric dual-mesh % (this is different from the Voronoi cells, which blong to the % circumcentric dual mesh) % % author: Qianqian Fang, % date: 2009/12/31 % % input: % node: node coordinates % elem: element table of a mesh % % output: % nodevol: volume values for all nodes % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % dim=4; if(size(elem,2)==3) dim=3; end if(nargin<3) evol=elemvolume(node,elem(:,1:dim)); end elemnum=size(elem,1); nodenum=size(node,1); nodevol=zeros(nodenum,1); for i=1:elemnum nodevol(elem(i,1:dim))=nodevol(elem(i,1:dim))+evol(i); end nodevol=nodevol/dim; octave-iso2mesh-1.9.6+ds/meshquality.m0000644001356000007640000000254713724766530016665 0ustar fangqadminfunction quality=meshquality(node,elem,maxnode) % % quality=meshquality(node,elem) % % compute the Joe-Liu mesh quality measure of an N-D mesh (N<=3) % % author: Qianqian Fang, % date: 2011/02/26 % % input: % node: node coordinates of the mesh (nn x 3) % elem: element table of an N-D mesh (ne x (N+1)) % % output: % quality: a vector of the same length as size(elem,1), with % each element being the Joe-Liu mesh quality metric (0-1) of % the corresponding element. A value close to 1 represents % higher mesh quality (1 means equilateral tetrahedron); % a value close to 0 means nearly degenerated element. % % reference: % A. Liu, B. Joe, Relationship between tetrahedron shape measures, % BIT 34 (2) (1994) 268-287. % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % if(nargin<3) maxnode=4; end if(size(elem,2)>maxnode) elem=elem(:,1:maxnode); end enum=size(elem,1); vol=elemvolume(node,elem); edges=meshedge(elem); ed=node(edges(:,1),:)-node(edges(:,2),:); ed=sum((ed.*ed)'); ed=sum(reshape(ed,[enum length(ed)/enum])')'; dim=size(elem,2)-1; coeff=10/9; % for tetrahedral if(dim==2) coeff=1; end quality=coeff*dim*2^(2*(1-1./dim))*3^((dim-1)/2)*vol.^(2/dim)./ed; maxquality=max(quality); if(maxquality>1) quality=quality./maxquality; end octave-iso2mesh-1.9.6+ds/meshabox.m0000644001356000007640000000205313724766530016116 0ustar fangqadminfunction [node,face,elem]=meshabox(p0,p1,opt,nodesize) % % [node,face,elem]=meshabox(p0,p1,opt,nodesize) % % create the surface and tetrahedral mesh of a box geometry % % author: Qianqian Fang, % % input: % p0: coordinates (x,y,z) for one end of the box diagnoal % p1: coordinates (x,y,z) for the other end of the box diagnoal % opt: maximum volume of the tetrahedral elements % nodesize: 1 or a 8x1 array, size of the element near each vertex % % output: % node: node coordinates, 3 columns for x, y and z respectively % face: integer array with dimensions of NB x 3, each row represents % a surface mesh face element % elem: integer array with dimensions of NE x 4, each row represents % a tetrahedron % % example: % [node,face,elem]=meshabox([2 3 2],[6 12 15],0.1,1); % plotmesh(node,elem,'x>4'); % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % if(nargin<4) nodesize=1; end [node,elem,face]=surf2mesh([],[],p0,p1,1,opt,[],[],nodesize); elem=elem(:,1:4); face=face(:,1:3); octave-iso2mesh-1.9.6+ds/ChangeLog.txt0000644001356000007640000003352613724766530016533 0ustar fangqadmin============================================================================ Iso2Mesh - a compact, powerful yet simple-to-use 3D mesh generator ---------------------------------------------------------------------------- Iso2Mesh ChangeLog (key features marked by *): 2018/07/19 (1.9.0, codename: Century Egg - final) 2018-07-19*[67ae478] update jsonlab to v1.8 2018-07-19 [0af072c] compiling jmeshlib and tetgen1.5 from source 2018-07-19 [c75ce08] use meshfix 1.2 from an old copy 2018-07-18 [f49286b] use system binaries first, then use locally built suffix-less binaries, then prebuilt ones 2018-07-18 [8d015f4] add makefile to compile all external tools and copy exe to bin 2018-07-18*[17bf732] add source codes for embedded tool for deployment 2018-06-27 [2baaf0d] fix bugs in meshinterp and meshremap when elemid contains nan 2018-06-26 [3413cf6] add meshremap and meshinterp to map values between a pair of meshes 2018-05-30 [f111940] add examples for readnirfast and savenirfast 2018-05-30*[6ec9dbc] support importing and exporting NIRFAST mesh files 2018-05-25 [312d1ff] nodevolume can be calculated using elemvolume 2018-05-02 [39bc663] fix missing command in the meshconn output 2018-04-11 [65a0f2a] Update tetgen1.5 executable for Windows to TetGen v1.5.1-beta1 2017-11-08*[98d9fb4] add extrudesurf function to expand an open surface into a solid 2017-10-02 [9f5e9f1] support cone trunk in meshacylinder 2017-09-13 [914d9e9] Fix bug in surf2mesh 2017-08-30*[a6070a9] add top and bottom faces for extrudecurve 2017-08-06 [6cd2747] merge phong's surfboolean, make s2m/surf2mesh support tetgen1.5 2017-07-19 [f6d8d7f] remove isoloated nodes for cell represented surfaces 2017-06-29 [4ff9ed9] support removing duplicated nodes in cell face input 2017-06-20 [dab6afe] close open surfaces by the bounding box 2017-06-20 [059f98a] support initial angle in orthdisk 2017-06-12 [5d22c41] apply a patch from Riccardo to correct surface orientation 2017-05-29 [48f30d5] update meshfix binary for windows, add 64bit meshfix from https://github.com/MarcoAttene/MeshFix-V2.1/ 2017-05-11 [d11dbc4] add new function to create extruded surfaces from orthogonal 2D spline curves 2017-03-05 [41da47d] create 10-node tet from 4-node tet 2017/01/16 (1.8.0, codename: Deviled Egg - final) 1.**robust surface boolean operator based on Cork 2. update tetgen 1.5 to 1.5.1 3. new function: insurface for point-in-surface test 4.*new function: fillsurf for tesselating a closed surface 5. new function: surfvolume for calculating the volume of an enclosed surface 6.*new function: innersurf/outersurf: interior and exterior parts of a surface 7. meshcylinders supports a series of segments, also returns PLC 8. surfedge/volface return tet element id for the face triangles 9. plotmesh supports element-based colormap 10. s2v outputs mesh-to-voxel transformation matrix 11.*JSONlab updates to 1.5 Nominus alpha 12. display binary utility download URL when missing 13. faceneighbor returns row- or column-major facelist 14. fix half-voxel offset bug in cgalmesher 15. surf2vol and s2v now rasterize labeled surfaces and tetrahedral mesh 16. disable binary compression for Mac OS to avoid crashes 17. fix uniqedges edgemap output bug 2015/09/19 (1.7.9, codename: Deviled Egg - beta) 1. make v2m(method=cgalmesh) output repeatable 2.**JSONlab update to 1.1 3. qmeshcut allows to exact plane that are exactly parallel to the faces 4.*surf2mesh supports region-based volume control 5. fix getvarfrom workspace bug 6.*meshrefine can insert external nodes to the mesh 7. allow binsurface to mesh a 2d image 8.**significantly improved meshrefine - sizing field, new nodes etc 9. support OSX Yosemite 10. fix s2m face label bug 11.*plotmesh supports plotting 3d polyline and loop objects 12. extract junction lines from a surface group 13. extractloops now supports open contours 14. latticegrid - 3D lattice function 15.**GPU accelerated mesh rasterization - mesh2mask/mesh2vol/m2v (experimental) 16. add regular grid generation by meshgrid5 and meshgrid6 17. fix plotmesh bugs 18. export to GMSH format (by Riccardo Scorretti) 2013/07/16 (1.5.0, codename: Laba Porridge - final) 1.*label-wise mesh density control in CGAL 3D mesher (contributed by Peter Varga) 2. plotting mesh slices using "{x,y,z}=value" syntax in plotmesh selector 2013/01/20 (1.4.9, codename: Laba Porridge - beta) 1.*loadjson and savejson for unified 3D mesh data exchange 2. support COMSOL mphtxt file format (Donghyeon Kim) 3. raytrace outputs intersection element ID list 4.*qmeshcut supports more flexible mesh slicing options 5. plotmesh accepts cell array face list for general polyhedra handling 6. s2m supports 'cgalpoly' option 7. fix remeshsurf coordinate offset bug 8. return region seeds from v2s 9. new function meshrefine for mesh refinement 10. saving surface mesh to STL (ASCII or binary) format 11. new function meshacylinder to mesh a 3D cylinder 12.**surface mesh boolean operations (surfboolean) via GTS library 13. qmeshcut supports element-based value list 14. fast mesh intersection testing utilities surfboolean('self') 15.**self-intersecting surface repairing and decoupling using meshfix utility 16. export mesh to ABAQUS format 17.*add binaries for 32/64bit Intel Mac OS and Raspberry Pi (armhf) 18.*define a JSON-based mesh format (JMesh) for general-purpose data exchange 19. add surfreorient,readgts,savegts,uniqedges,raysurf,savejmesh and many more 2011/06/03 (1.0.1, codename: Mapo Tofu - Update 1) 1. added 64bit CGAL binaries for Linux (Windows/MacOS are not yet supported) 2.*plotmesh can use the 4th column of node input as colormap/value 3.*accept "cgalpoly" method option in v2m and vol2mesh 4. savemedit output supports the label column 5.*orient all triangles counter-clockwise for surface plotting 6. added edgeneighbors to report neighboring triangles in a surface 2011/02/27 (1.0.0, codename: Mapo Tofu) 1. fixed mwpath/mcpath octave warning 2. used consistent opt.distbound flag for cgalv2m and cgalv2s 3. fixed a bug in plotmesh to allow using plotting styles 4. added a method parameter in sms 5. fixed a bug in mergemesh with more than 2 inputs 6. added mesh quality metric function (Joe-Liu metric) 7.*added ray-tracing functions (using the Havel's method) 8.*robust and fast surface interior point determination 9.*label multi-part surfaces inside vol2surf 10. new functions surfplane/surfseeds/surfinterior/meshedge 11. use SVN revison number as the default extra version tag 2011/01/31 (0.9.9, codename: Mapo Tofu-RC1) 1.*specifying seeds for cgalsurf and cgalmesh modules 2.*perturbing isovalues to avoid non-manifold geometries 3. added plottetview to call tetview for mesh display on octave 4. added a new demo - a "hello world" example 5. speed optimization for octave 6. optimized memory use for surf2vol 7. made nodevolume support surfaces 8. added savemedit to export tetrahedral mesh in Medit format 9. compress most binaries with upx to save space 10. set up binary file extension fallback to help Mac users 11.*added functions to mesh simple geometries such as a sphere etc 12. added meshmerge to merge multiple meshes and surfaces 13. added s2v shortcut for surf2vol 14. updated cgalsurf to specify initial point cloud size 15. added iso2meshver to track version numbers 16. automatic handling of label column in face and elem plots 2010/07/14 (0.9.8, codename: Mapo Tofu-beta) 1.*added surf2vol, converting a closed surface to a binary volume 2. fixed deletemeshfile bug for Windows 3. automatic repairing when meshresample fails 4. fast faceneighbors unit 5.*added CGAL 3D mesher for robust meshing of segmented volumes 6. added CGAL 3D polyhedral mesher as an alternative to tetgen 7. corrected bugs in Laplacian+HC and Lowpass smoothing algorithms 8. added sms.m as the shortcut for surfsmooth 9. added exporters for DXF and VRML mesh formats 10. added user name to the temporary files to avoid permission conflict 11. added force-bounding-box option for surf2mesh 12. added nodevolume, elemvolume from FEMcore and meshreorient 13. added sortmesh to optimize node and element ordering 14.*mesh refinement using the 4-th column of surface node 15. thining a volumetric binary image 16.*added remeshsurf to repair self-intersecting surfaces 17. added demo scripts for remeshsurf and mesh smoothing 18. unify help text format, add bash script to generate function list 19. use opt.side to specify upper/lower interface of a labeled region 20.*added a mesh plotting function - plotmesh 2009/05/04 (0.8.0, codename: Hotpot) 1. added stopping criteria for cgalsurf surface extractor to avoid hanging for certain datasets 2.*added support for mesh generation from 3D gray-scale images 3. more robust and fast imedge3d (thanks to Aslak Grinsted) 4. fixed the origins for 'simplify' and 'cgalsurf', the origin is now set to the exterior vertex for voxel (1,1,1) (as a cube) 5. updated documents 6. renamed "bound" to "face" to avoid confusions 7.*added v2m, v2s and s2m as the shortcuts for vol2mesh, vol2surf and surf2mesh, respectively; added demo script for shortcuts 8. mcpath searches /bin first, no PATH setting is required (thanks to Aslak Grinsted) 9. many other minor fixes and cleaning 2009/02/11 (0.7.9-1, codename: Hotpot-beta) 1. compiled all the binaries on Mac OS (PowerPC) and tested on an Intel Mac 2.*recompiled all linux and windows binaries with optimized speed and reduced system dependencies 3. speeded up bounary field calculation with dedicated imedge3d 4. added TODO 2009/02/07 (0.7.9, codename: Hotpot-alpha) 1.*incorporated CGAL Surface mesher as the default vol2surf mesh extraction scheme (thank to Pierre Alliez's suggestion and Laurent Rineau and Mariette Yvinec for developing this utility) 2. added sub-region labeling for multi-valued images 3. added cgalsurf binaries for Windows 4. tested the toolbox with Octave for Windows on a vista machine, applied a few fixes to make it compatible 5. recompiled tetgen.exe to get the max-element-volume constraint finally work 2008/12/27 (0.7.8, codename: Hotpot-alpha) 1. try to handle the self-intersecting element problems, added getintersecttri.m to extract intesecting element IDs 2. implemented Laplacian+HC and Low-pass filter mesh smoothing algorithms; unfortunately, they are not effective to remove the self-intersecting elements 3. sent email to CGAL list to ask advices to handle self-intersecting element. 2008/12/05 (0.6.0, codename: Quesadilla) 1. iso2mesh is now compatible with GNU Octave. 2. replaced matlab's isosurface by a home-made binsurface to produce well-behaved triangular or cubic surfaces from binary images 3. added qmeshcut, a fast tetrahedral mesh cross-section plot 4. updated tetgen binary for 64bit Linux (mexa64), which caused some crashes 5. provided instructions when user encounters a "permission denied" error 2008/11/08 (0.5.1, codename: Footlong) 1. added meshing tool binaries for Windows (95-vista) 2. added meshing tool binaries for Mac OS 3. tagged all bin/ files and binaries files in sample/ with -kb option in the cvs 2008/10/30 (0.5, alpha release, codename: Footlong) 1. created a sourceforge project, pointing to the project main page at orbit. 2. wrote documents and polish file structures 3. included more sample codes and data 4. defined a global variable "ISO2MESH_TEMP" to control the temporary file directory; "ISO2MESH_BIN" for bin folder location and "ISO2MESH_SESSION" for temporary file prefix and enable parallel meshing sessions and restricted user environments 5. renamed all temporary files as pre_smesh/post_smesh/ pre_remesh/post_remeshpre_vmesh/post_vmesh to identify the processing stage 6. split vol2mesh into vol2surf and surf2mesh 7. uploading wiki pages with documentation drafts and examples outputs 2008/10/10 (0.4) 1. added subroutines for mesh validation and repairing 2. included JMeshLib for non-manifold node removal 2008/01/10 (0.3) 1. added vol2mesh and the related scripts 2. iso2mesh is able to mesh breast geometry from 3D tomosynthesis scan and a mouse head model from CT images. 2008/04/08 (0.2) 1. qslim produces self-intersecting meshes after simplification, which is not good. It is now replaced by CGAL mesh simplification module 2. modified CGAL mesh simplification code to preserve all edges nodes (keep them co-planar) 2007/12/27 (0.1.1) 1. used mexext to distinguish binaries for different platforms 2007/11/25 (0.1) 1. initial upload to cvs, as a module of redbird2 2. used qslim to perform mesh simplification and tetgen for mesh generation 3. supported both win32 and Linux 4. added sample data and scripts octave-iso2mesh-1.9.6+ds/jsave.m0000644001356000007640000000777713724766530015442 0ustar fangqadminfunction varargout=jsave(filename, varargin) % % jsave % or % jsave(fname) % varlist=jsave(fname,'param1',value1,'param2',value2,...) % % Store variables in a workspace to a JSON or binary JSON file % % authors:Qianqian Fang (q.fang neu.edu) % created on 2020/05/31 % % input: % fname: (optional) output file name; if not given, save to 'jamdata.jamm' % if fname has a '.json' or '.jdt' suffix, a text-based % JSON/JData file will be created (slow); if the suffix is '.jamm' or % '.jdb', a Binary JData (https://github.com/fangq/bjdata/) file will be created. % opt: (optional) a struct to store parsing options, opt can be replaced by % a list of ('param',value) pairs - the param string is equivallent % to a field in opt. opt can have the following % fields (first in [.|.] is the default) % % ws ['caller'|'base']: the name of the workspace in which the % variables are to be saved % vars [{'var1','var2',...}]: cell array of variable names to be saved % matlab [0|1] if set to 1, use matlab's built-in jsonencode to % store encoded data to a json file; output file % must have a suffix of .jdt % % all options for savebj/savejson (depends on file suffix) % can be used to adjust the output unless "'matlab',1" is used % % output: % varlist: a list of variables loaded % % examples: % jsave % save all variables in the 'caller' workspace to jamdata.jamm % jsave('mydat.jamm','vars', {'v1','v2',...}) % save selected variables % jsave('mydat.jamm','compression','lzma') % % license: % BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details % % -- this function is part of JSONLab toolbox (http://openjdata.org/jsonlab) % if(nargin==0) filename=[pwd filesep 'jamdata.jamm']; end opt=varargin2struct(varargin{:}); ws=jsonopt('ws','caller',opt); allvar=evalin(ws,'whos'); varlist=jsonopt('vars',{allvar.name},opt); [isfound, dontsave]=ismember(varlist,{allvar.name}); if(any(isfound==0)) error('specified variable is not found'); end header=struct; body=struct; metadata=struct('CreateDate',datestr(now,29),... 'CreateTime',datestr(now,'hh:mm:ss'),... 'OriginalName',filename); vers=ver('MATLAB'); if(isempty(vers)) vers=ver('Octave'); [verstr, releasedate]=version; vers.Release=verstr; vers.Date=releasedate; end metadata.CreatorApp=vers.Name; metadata.CreatorVersion=vers.Version; metadata.CreatorRelease=vers.Release; metadata.ReleaseDate=vers.Date; metadata.FormatVersion=1; metadata.Parameters=opt; header.(encodevarname('_DataInfo_'))=metadata; for i=1:length(varlist) header.(varlist{i})=allvar(dontsave(i)); body.(varlist{i})=evalin(ws,varlist{i}); end savefun=@savebj; if(regexp(filename,'\.[jJ][sS][oO][nN]$')) savefun=@savejson; elseif(regexp(filename,'\.[jJ][dD][tT]$')) savefun=@savejson; elseif(regexp(filename,'\.[mM][sS][gG][pP][kK]$')) savefun=@savemsgpack; end if(nargout==1) varargout{1}=header; end if(jsonopt('matlab',0,opt) && exist('jsonencode','builtin')) if(isempty(regexp(filename,'\.[jJ][sS][oO][nN]$', 'once'))) filename=regexprep(filename,'\.[a-zA-Z]+$','.jdt'); end output.WorkspaceHeader=jdataencode(header,'prefix','x','base64',1,varargin{:}); headerjson=jsonencode(output); clear output; output.WorkspaceData=jdataencode(body,'AnnotateArray',1,'base64',1,... 'Compression','zlib','UseArrayZipSize',1,'MapAsStruct',1,... 'prefix','x',varargin{:}); bodyjson=jsonencode(output); clear output; fid=fopen(filename,jsonopt('writemode','w',opt)); fwrite(fid,headerjson); fwrite(fid,sprintf('\n\n\n')); fwrite(fid,bodyjson); fclose(fid); else savefun('WorkspaceHeader',header,'filename',filename,varargin{:}); savefun('WorkspaceData',body,'filename',filename,'append',1,... 'compression','zlib','keeptype',1,'array2struct',1,varargin{:}); end octave-iso2mesh-1.9.6+ds/meshcheckrepair.m0000644001356000007640000000654213724766530017454 0ustar fangqadminfunction [node,elem]=meshcheckrepair(node,elem,opt,varargin) % % [node,elem]=meshcheckrepair(node,elem,opt) % % check and repair a surface mesh % % author: Qianqian Fang, % date: 2008/10/10 % % input/output: % node: input/output, surface node list, dimension (nn,3) % elem: input/output, surface face element list, dimension (be,3) % opt: options, including % 'dupnode': remove duplicated nodes % 'dupelem' or 'duplicated': remove duplicated elements % 'dup': both above % 'isolated': remove isolated nodes % 'open': abort when open surface is found % 'deep': call external jmeshlib to remove non-manifold vertices % 'meshfix': repair a closed surface by the meshfix utility (new) % it can remove self-intersecting elements and fill holes % 'intersect': test a surface for self-intersecting elements % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % extra=varargin2struct(varargin{:}); if(nargin<3 || strcmp(opt,'dupnode')|| strcmp(opt,'dup')) l1=size(node,1); [node,elem]=removedupnodes(node,elem,jsonopt('Tolerance',0,extra)); l2=size(node,1); if(l2~=l1) fprintf(1,'%d duplicated nodes were removed\n',l1-l2); end end if(nargin<3 || strcmp(opt,'duplicated')|| strcmp(opt,'dupelem')|| strcmp(opt,'dup')) l1=size(elem,1); elem=removedupelem(elem); l2=length(elem); if(l2~=l1) fprintf(1,'%d duplicated elements were removed\n',l1-l2); end end if(nargin<3 || strcmp(opt,'isolated')) l1=length(node); [node,elem]=removeisolatednode(node,elem); l2=length(node); if(l2~=l1) fprintf(1,'%d isolated nodes were removed\n',l1-l2); end end if(nargin==3 && strcmp(opt,'open')) eg=surfedge(elem); if(~isempty(eg)) error('open surface found, you need to enclose it by padding zeros around the volume'); end end if(nargin<3 || strcmp(opt,'deep')) exesuff=getexeext; exesuff=fallbackexeext(exesuff,'jmeshlib'); deletemeshfile(mwpath('post_sclean.off')); saveoff(node(:,1:3),elem(:,1:3),mwpath('pre_sclean.off')); status=system([' "' mcpath('jmeshlib') exesuff '" "' mwpath('pre_sclean.off') '" "' mwpath('post_sclean.off') '"']); if(status) error('jmeshlib command failed'); end [node,elem]=readoff(mwpath('post_sclean.off')); end exesuff=fallbackexeext(getexeext,'meshfix'); moreopt=' -q -a 0.01 '; if(isstruct(extra) && isfield(extra,'MeshfixParam')) moreopt=extra.MeshfixParam; end if(nargin>=3 && strcmp(opt,'meshfix')) deletemeshfile(mwpath('pre_sclean.off')); deletemeshfile(mwpath('pre_sclean_fixed.off')); saveoff(node,elem,mwpath('pre_sclean.off')); status=system([' "' mcpath('meshfix') exesuff '" "' mwpath('pre_sclean.off') ... '" ' moreopt]); if(status) error('meshfix command failed'); end [node,elem]=readoff(mwpath('pre_sclean_fixed.off')); end if(nargin>=3 && strcmp(opt,'intersect')) moreopt=sprintf(' -q --no-clean --intersect -o "%s"',mwpath('pre_sclean_inter.msh')); deletemeshfile(mwpath('pre_sclean.off')); deletemeshfile(mwpath('pre_sclean_inter.msh')); saveoff(node,elem,mwpath('pre_sclean.off')); system([' "' mcpath('meshfix') exesuff '" "' mwpath('pre_sclean.off') ... '" ' moreopt]); %[node,elem]=readoff(mwpath('pre_sclean_inter.off')); end octave-iso2mesh-1.9.6+ds/elemfacecenter.m0000644001356000007640000000167413724766530017262 0ustar fangqadminfunction [newnode,newelem]=elemfacecenter(node,elem) % % [newnode,newelem]=elemfacecenter(node,elem) % % generate barycentric dual-mesh face center nodes and indices per element % very similar to highordertet which finds edge-centers instead of % face-centers % % author: Qianqian Fang, % % input: % node: list of nodes % elem: list of elements (each row are indices of nodes of each element) % % output: % newnode: all new face-nodes on the output mesh % newelem: the indices of the face nodes for each original tet element % % to combine the newnode/newelem with the old mesh, one should use % % elemfull=[elem(:,1:4) newelem+size(node,1)]; % nodefull=[node;newnode]; % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % [faces,idx,newelem]=uniqfaces(elem(:,1:4)); newnode=node(faces',1:3); newnode=reshape(newnode',[3,3,size(faces,1)]); newnode=squeeze(mean(permute(newnode,[3 2 1]),2)); octave-iso2mesh-1.9.6+ds/plotmesh.m0000644001356000007640000001453313724766530016151 0ustar fangqadminfunction hm=plotmesh(node,varargin) % % hm=plotmesh(node,face,elem,opt) % % plot surface and volumetric meshes % % author: Qianqian Fang % % input: % node: a node coordinate list, 3 columns for x/y/z; if node has a % 4th column, it will be used to set the color at each node. % face: a triangular surface face list; if face has a 4th column, % it will be used to separate the surface into % sub-surfaces and display them in different colors; % face can be a cell array, each element of the array represents % a polyhedral facet of the mesh, if an element is an array with % two array subelements, the first one is the node index, the % second one is a scalar as the group id of the facet. % elem: a tetrahedral element list; if elem has a 5th column, % it will be used to separate the mesh into % sub-domains and display them in different colors. % opt: additional options for the plotting % % for simple point plotting, opt can be markers % or color options, such as 'r.', or opt can be % a logic statement to select a subset of the mesh, % such as 'x>0 & y+z<1', or an equation defining % a plane at which a mesh cross-section is plotted, for % example 'y=2*x'; opt can have more than one % items to combine these options, for example: % plotmesh(...,'x>0','r.'); the range selector must % appear before the color/marker specifier % % in the event where all of the above inputs have extra settings related to % the color of the plot, the priorities are given in the following order: % % opt > node(:,4) > elem(:,5) > face(:,4) % % output: % hm: handle or handles (vector) to the plotted surfaces % % example: % % h=plotmesh(node,'r.'); % h=plotmesh(node,'x<20','r.'); % h=plotmesh(node,face); % h=plotmesh(node,face,'y>10'); % h=plotmesh(node,face,'facecolor','r'); % h=plotmesh(node,elem,'x<20'); % h=plotmesh(node,elem,'x<20 & y>0'); % h=plotmesh(node,face,elem); % h=plotmesh(node,face,elem,'linestyle','--'); % h=plotmesh(node,elem,'z=20'); % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % selector=[]; opt=[]; face=[]; elem=[]; if(nargin>1) hasopt=0; for i=1:length(varargin) if(ischar(varargin{i})) if(~isempty(regexp(varargin{i},'[x-zX-Z]')) && ~isempty(regexp(varargin{i},'[><=&|]'))) selector=varargin{i}; if(nargin>=i+1) opt=varargin(i+1:end); end else opt=varargin(i:end); end if(i==1) face=[];elem=[]; elseif(i==2) if(iscell(varargin{1}) || size(varargin{1},2)<4) face=varargin{1}; elem=[]; elseif(size(varargin{1},2)==4) faceid=unique(varargin{1}(:,4)); if(length(faceid)==1) face=varargin{1}; elem=[]; elseif(any(hist(varargin{1}(:,4),unique(varargin{1}(:,4)))>50)) face=varargin{1}; elem=[]; else elem=varargin{1}; face=[]; end else elem=varargin{1}; face=[]; end elseif(i==3) face=varargin{1}; elem=varargin{2}; end hasopt=1; break; end end if(hasopt==0) if(length(varargin)>=2) face=varargin{1}; elem=varargin{2}; if(length(varargin)>2) opt=varargin(3:end); end elseif(iscell(varargin{1}) || size(varargin{1},2)<4) face=varargin{1}; elem=[]; elseif(size(varargin{1},2)==4) faceid=unique(varargin{1}(:,4)); if(length(faceid)==1) face=varargin{1}; elem=[]; elseif(any(hist(varargin{1}(:,4),unique(varargin{1}(:,4)))>50)) face=varargin{1}; elem=[]; else elem=varargin{1}; face=[]; end else elem=varargin{1}; face=[]; end end end holdstate=ishold; if(~holdstate) cla; end if(size(node,2)==4 && size(elem,2)==5) warning(['You have specified the node colors by both the 4th ' ... 'and 5th columns of node and face inputs, respectively. ' ... 'The node input takes priority']); end if(isempty(face) && isempty(elem)) if(isempty(selector)) if(isempty(opt)) h=plot3(node(:,1),node(:,2),node(:,3),'o'); else h=plot3(node(:,1),node(:,2),node(:,3),opt{:}); end else x=node(:,1); y=node(:,2); z=node(:,3); idx=eval(['find(' selector ')']); if(~isempty(idx)) if(isempty(opt)) h=plot3(node(idx,1),node(idx,2),node(idx,3),'o'); else h=plot3(node(idx,1),node(idx,2),node(idx,3),opt{:}); end else warning('nothing to plot'); end end end if(~isempty(face)) hold on; if(isempty(selector)) if(isempty(opt)) h=plotsurf(node,face); else h=plotsurf(node,face,opt{:}); end else if(iscell(face)) cent=meshcentroid(node,face); else cent=meshcentroid(node,face(:,1:3)); end x=cent(:,1); y=cent(:,2); z=cent(:,3); idx=eval(['find(' selector ')']); if(~isempty(idx)) if(iscell(face)) h=plotsurf(node,face(idx),opt{:}); else h=plotsurf(node,face(idx,:),opt{:}); end else warning('no surface to plot'); end end end if(~isempty(elem)) hold on; if(isempty(selector)) if(isempty(opt)) h=plottetra(node,elem); else h=plottetra(node,elem,opt{:}); end else cent=meshcentroid(node,elem(:,1:4)); x=cent(:,1); y=cent(:,2); z=cent(:,3); if(regexp(selector,'=')) if(size(node,2)==4) [cutpos,cutvalue,facedata]=qmeshcut(elem,node(:,1:3),node(:,4),selector); elseif(size(node,2)==3) [cutpos,cutvalue,facedata]=qmeshcut(elem,node,node(:,3),selector); else error('plotmesh can only plot 3D tetrahedral meshes'); end if(~isreal(cutvalue)) cutvalue=abs(cutvalue); end h=patch('Vertices',cutpos,'Faces',facedata,'FaceVertexCData',cutvalue,'facecolor','interp',opt{:}); else idx=eval(['find(' selector ')']); if(~isempty(idx)) if(isempty(opt)) h=plottetra(node,elem(idx,:)); else h=plottetra(node,elem(idx,:),opt{:}); end else warning('no tetrahedral element to plot'); end end end end if(exist('h','var') && ~holdstate) hold off; end if(exist('h','var')) if(any(get(gca,'dataaspectratio')>1e8)) view(3); end axis equal; end if(exist('h','var') && nargout>=1) hm=h; end octave-iso2mesh-1.9.6+ds/README.txt0000644001356000007640000003170513724766530015636 0ustar fangqadmin---------------------------------------------------------------------- = Iso2Mesh: An Image-based 3D Surface and Volumetric Mesh Generator = ---------------------------------------------------------------------- *'''Author''': Qianqian Fang ** Department of Bioengineering ** Northeastern University ** 360 Huntington Ave, Boston, MA 02115 *'''Version''': 1.9.6 (Lion's Head) *'''License''': GPL v2 or later (see COPYING) ** (this license does not cover the binaries under the bin/ ** directory, see Section III for more details) *'''URL''': http://iso2mesh.sf.net == Table of Content == == # Introduction == "Iso2Mesh" is a MATLAB/Octave-based mesh generation toolbox, designed for easy creation of high quality surface and tetrahedral meshes from 3D volumetric images. It contains over 200 mesh processing scripts/programs, working either independently or interacting with external free meshing utilities. Iso2Mesh toolbox can directly convert a 3D image stack, including binary, segmented or gray-scale images such as MRI or CT scans, into quality volumetric meshes. This makes it particularly suitable for multi-modality medical imaging data analysis and multi-physics modeling. Above all, iso2mesh is open-source. You can download it for free. You are also allowed to extend the toolbox for your own research and share with other users. Iso2Mesh is cross-platform and is compatible with both MATLAB and GNU Octave (a free MATLAB clone). The details of this toolbox can be found in the following papers (citing the first paper is highly encouraged): *Anh Phong Tran, Shijie Yan and Qianqian Fang*, (2020) "Improving \ model-based fNIRS analysis using mesh-based anatomical and \ light-transport models," Neurophotonics, 7(1), 015008 *Qianqian Fang and David Boas, "Tetrahedral mesh generation \ from volumetric binary and gray-scale images," Proceedings of \ IEEE International Symposium on Biomedical Imaging \ (ISBI 2009), pp. 1142-1145, 2009 The first paper published recently describes a fully automated high-quality [http://mcx.space/brain2mesh brain mesh generation pipeline] built upon Iso2Mesh, providing a showcase for nearly all core functionalities provided in this toolbox. == # Iso2Mesh Suite == In addition to convenient 3D mesh generation functionalities, the development of Iso2Mesh has also resulted in a number of submodules that have also received wide adoption - some are even more popular than Iso2Mesh itself. For example: * JSONLab (http://openjdata.org/jsonlab): a JSON/UBJSON/MassagePack \ encoder and decoder ([https://www.mathworks.com/matlabcentral/fileexchange/33381-jsonlab-a-toolbox-to-encode-decode-json-files Editor Pick-of-the-week, Popular Files 2018]) * Brain2Mesh (http://mcx.space/brain2mesh): a fully automated \ high-quality brain mesh generation toolbox built on Iso2Mesh * JNIfTI (http://github.com/fangq/jnifti): a fast and portable \ NIfTI-1/2 reader/writer and next-gen NIfTI file format * Metch (http://iso2mesh.sf.net/metch): a 3D mesh registration toolbox * JData specification (http://openjdata.org): a highly portable \ easy-to-use scientific data annotation method and specification * ZMat (http://github.com/fangq/zmat): a data compression library \ and MATLAB/Octave toolbox Currently, Iso2Mesh and its submodules are broadly distributed among popular open-source MATLAB toolboxes, especially among major neuroimaging tools, including * Fieldtrip (http://www.fieldtriptoolbox.org) [https://github.com/fieldtrip/fieldtrip/tree/master/external/iso2mesh [iso2mesh/jsonlab]] * BrainStorm (https://neuroimage.usc.edu/brainstorm) [https://neuroimage.usc.edu/brainstorm/Tutorials/FemMesh#Mesh_tools [iso2mesh/brain2mesh/easyh5]] * Lead-DBS (http://www.lead-dbs.org) [https://github.com/netstim/leaddbs/tree/master/ext_libs/iso2mesh [iso2mesh]] * ROAST (https://www.parralab.org/roast) [https://github.com/andypotatohy/roast/tree/master/lib/iso2mesh [iso2mesh]] * HOMER2 (https://github.com/BUNPC/AtlasViewer) [https://github.com/BUNPC/AtlasViewer/tree/master/iso2mesh [iso2mesh/metch]] * REST (https://github.com/goodshawn12/REST) [https://github.com/goodshawn12/REST/tree/master/dependencies/iso2mesh [iso2mesh]] == # Overview of functions == Creation of high-quality surface and tetrahedral meshes from volumetric images has been a challenging task. There are very limited software and resources available for this purpose. Commercial tools, such as Mimics and Simpleware, are both expensive and limited in flexibility. Iso2Mesh was developed as a free alternative to these expensive commercial tools and provides researchers a highly flexible, modular and streamlined image-based mesh generation pipeline. Intuitive interfaces and rich functionalities allow one to enjoy a wide range of mesh-based analyses, ranging from 3D volumetric image pre-processing (hole-filling, thinning and thickening), surface mesh modeling (extraction, remeshing, repairing, and smoothing) to volumetric mesh creation. Converting 3D image stacks into quality surface and tetrahedral meshes is one of the core features of iso2mesh. We provide serveral automated functions to perform the image->mesh and mesh->image conversion, including * vol2mesh (v2m): convert a 3D volumetric image into a tetrahedral mesh * vol2surf (v2s): extract triangular surfaces from a 3D image volume * surf2mesh (s2m): create a tetrahedral mesh from a triangular surface mesh * surf2vol (s2v): rasterize a close-surface to a volumetric image * mesh2vol (m2v): rasterize a tetrahedral mesh to a volumetric image Most of these function are associated with several meshing options and parameters to give users full control to mesh density, adaptivity, region labeling and mesh quality. The output data for some of these functions can be used as the input for the others, giving endless combinations to analyze your data. In addition to image-based mesh generation, iso2mesh can also mesh geometry primitives such as spheres, cubes and cylinders. This makes iso2mesh a CAD-capable software, fully integrated in the MATLAB/Octave environments. Another core feature of iso2mesh is surface mesh processing. A surface mesh is the bridge between a voxelated image and a tetrahedral mesh, and is the foundation for successful 3D mesh generation. In iso2mesh, we provide the following key functions for surface mesh processing: * smoothsurf (sms): smoothing a surface mesh * surfboolean: boolean operations (join, intersect, diff) of two surfaces * meshresample: downsample a surface mesh to a coarse surface * meshrefine: refine a surface mesh * remeshsurf: remesh a surface mesh, including up-sampling and down-sampling * meshcheckrepair: test a surface mesh and remove defects and self-intersecting elements A third area iso2mesh excels is the rich set of mesh analysis and inquiry functions. For both surface and tetrahedral meshes, iso2mesh can report the element volume (or area), mesh quality metrics, node connectivity and neighbors, interior edges and boundaries, surface norms, element centroids, etc. Last, but not the least, iso2mesh can import and export mesh data from/to a dozen of file formats, including those used by the popular FEA software like COMSOL and ABAQUS. The STL format can export an iso2mesh-generated mesh for 3D printing. Users can not only export the data to a file, but also make 3D plots in MATLAB/Octave using the powerful "plotmesh" function. These examples are only a small fraction in the over 200 optimized functions provided by iso2mesh. The modular design of iso2mesh makes the code easy to understand and easy to be intergrated in your data analysis workflow. Please check out the full iso2mesh function list and detailed help information in the following URL: http://iso2mesh.sf.net/cgi-bin/index.cgi?Doc/FunctionList == # Compiling Iso2Mesh == The default release of Iso2Mesh packages already contains pre-compiled binaries for a wide range of platforms (32/64bit Windows, 32/64bit Linux and Mac with 64bit Intel and 32 bit PowerPC CPUs). So, without needing to recompile, Iso2Mesh can be executed out-of-box on MATLAB or GNU Octave. However, in the event that your operating system is not supported, or due to license restrictions, such as creating a release for various Linux distributions, you can recreate the mesh utility binaries under `iso2mesh/bin` folder using the source codes provided under `iso2mesh/tools` by following the below commands: git clone --recurse-submodules https://github.com/fangq/iso2mesh.git cd iso2mesh rm -rf bin/*.mex* bin/*.exe cd tools make clean make This will download and recompile the below binaries in the bin folder: cgalmesh cgalsurf cgalsimp2 jmeshlib meshfix tetgen1.5 cork Once these binary files are recreated, you can run all the major functionalities of Iso2Mesh. The gtrefine utility is depreciated and replaced by cork and tetgen. To compile the above external tools, the below tools must be pre-installed (tested on Ubuntu 14.04 LTS, if you use another Linux distribution, the package names might be different) gcc cmake libcgal-dev libsuitesparse-dev zlib1g-dev you can install these by sudo apt-get install gcc cmake libcgal-dev libsuitesparse-dev zlib1g-dev on Ubuntu or Debian. If you use Fedora, you need to install the below packages sudo dnf install cmake CGAL-devel SuperLU-devel blas-static gcc-c++ zlib-devel octave-devel == # Acknowledgement == This toolbox interacts with a number external meshing tools to perform the essential functionalities. These tools are listed below: === bin/tetgen and bin/tetgen1.5 === *Summary:tetgen is a compact and fast 3D mesh generator *License: GNU Affero General Public License version 3 *URL: http://tetgen.org/ *Author: Hang Si ::Research Group: Numerical Mathematics and Scientific Computing ::Weierstrass Institute for Applied Analysis and Stochastics ::Mohrenstr. 39, 10117 Berlin, Germany === bin/cgalsurf === *Summary: cgalsurf is a utility to extract a surface mesh from \ a gray-scale or a binary 3D image *Source: it is a slightly modified version from Surface_mesher \ example from CGAL 3.4 *License: CGAL v3 core library is licensed under QPL (Q Public License) \ other modules are under the Lesser General Public License (LGPL) *URL: http://www.cgal.org/Manual/3.3/doc_html/cgal_manual/Surface_mesher/Chapter_main.html === bin/cgalmesh and bin/cgalpoly === *Summary: cgalmesh and cgalpoly are utilities to produce surface \ and volumetric meshes from a multi-valued volumetric image *Source: it is a slightly modified version from Mesh_3 \ example from CGAL 3.5 *License: CGAL v3 core library is licensed under QPL (Q Public License) \ other modules are under the Lesser General Public License (LGPL) *URL: http://www.cgal.org/Manual/3.5/doc_html/cgal_manual/Mesh_3/Chapter_main.html === bin/cgalsimp2 === *Summary: cgalsimp2 performs surface mesh simplification in iso2mesh. *Source: it is adapted from Surface_mesh_simplification example of CGAL library *License: CGAL v3 core library is licensed under QPL (Q Public License) \ other modules are under the Lesser General Public License (LGPL) *URL: http://www.cgal.org/Manual/3.4/doc_html/cgal_manual/Surface_mesh_simplification/Chapter_main.html === bin/jmeshlib === *Summary: meshfix is adapted from the sample code of JMeshLib *License: GPL (GNU General Public License) v2 or later *URL:http://jmeshlib.sourceforge.net/ *Author:Marco Attene ::Istituto di Matematica Applicata e Tecnologie Informatiche ::Consiglio Nazionale delle Ricerche ::Via De Marini, 6 (Torre di Francia) ::16149 Genoa - ITALY === bin/meshfix === *Summary: meshfix is a mesh-repairing utility *License: GPL (GNU General Public License) v2 or later *URL:http://code.google.com/p/meshfix/ *Author: Marco Attene, Mirko Windhoff and Axel Thielscher. ::Istituto di Matematica Applicata e Tecnologie Informatiche ::Consiglio Nazionale delle Ricerche ::Via De Marini, 6 (Torre di Francia) ::16149 Genoa - ITALY === bin/cork === *Summary: A robust surface mesh Boolean operation algorithm *License: LGPL (GNU Lesser General Public License) *URL:https://github.com/gilbo/cork *Author: Gilbert Bernstein === bin/gtsrefine === *Summary: GTS is the GNU Triangulated Surface Library *License: LGPL (GNU Lesser General Public License) *URL:http://gts.sourceforge.net/ *Author: GTS developers Note: Iso2Mesh and the above meshing utilities are considered as an "aggregate" rather than "derived work", based on the definitions in GPL FAQ (http://www.gnu.org/licenses/gpl-faq.html#MereAggregation) Therefore, the license of Iso2Mesh and these utilities are independent. The Iso2Mesh license only applies to the scripts and documentation/data in this package and exclude those programs stored in the bin/ directory. The source codes of the modified meshing utilities are available separately at Iso2Mesh's website and retain their upstream licenses. Your acknowledgement of Iso2Mesh in your publications or presentations would be greatly appreciated by the author of this toolbox. The citation information can be found in the Introduction section. octave-iso2mesh-1.9.6+ds/savemsh.m0000644001356000007640000001014713724766530015761 0ustar fangqadminfunction savemsh(node,elem,fname,rname) % % savemsh(node,elem,fname,rname) % % save a tetrahedral mesh to GMSH mesh format % % author: Riccardo Scorretti (riccardo.scorretti univ-lyon1.fr) % date: 2013/07/22 % % input: % node: input, node list, dimension (nn,3) % elem: input, tetrahedral mesh element list, dimension (ne,4) or (ne,5) for multi-region meshes % fname: output file name % rname: name of the regions, cell-array of strings (optional) % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % if nargin < 4 , rname = {} ; end if size(elem,2) < 5 , elem(:,5) = 1 ; end fid = fopen(fname,'wt'); if(fid==-1) error('You do not have permission to save mesh files.'); end % Check that all the elements are correctly oriented elem(:,1:4)=meshreorient(node,elem(:,1:4)); nbNodes = size (node,1); reg = unique (elem(:,5)); nbRegion = length (reg); nbElements = size (elem, 1); % Create the skeleton of the mesh structure M.Info.version = []; M.Nodes.nb = 0; M.Nodes.x = []; M.Nodes.y = []; M.Nodes.z = []; M.Elements.nb = 0; M.Elements.type = zeros (0, 0, 'uint8'); M.Elements.tableOfNodes = zeros (0, 0, 'uint32'); M.Elements.region = zeros (0, 0, 'uint16'); M.Regions.nb = 0; M.Regions.name = {}; M.Regions.dimension = []; % Build the table of nodes M.Nodes.nb = nbNodes; M.Nodes.x = node(:,1); M.Nodes.y = node(:,2); M.Nodes.z = node(:,3); clear node % Build the table of elements M.Elements.nb = nbElements; M.Elements.type = uint8(4*ones(nbElements, 1)); M.Elements.tableOfNodes = uint32(elem(:,1:4)); M.Elements.region = uint16(elem(:,5)); clear elem % Build the table of regions M.Regions.nb = max(reg); for k = 1 : nbRegion if length(rname) < k , rname{k} = sprintf('region_%d', k) ; end M.Regions.name{reg(k)} = sprintf ('%s', rname{k}); M.Regions.dimension(reg(k)) = 3; end % Writhe the header fprintf (fid, '$MeshFormat\n2.2 0 8\n$EndMeshFormat\n'); % Write the physical names if M.Regions.nb > 0 fprintf (fid, '$PhysicalNames\n'); fprintf (fid, '%d\n', M.Regions.nb); for r = 1 : M.Regions.nb name = M.Regions.name{r}; if isempty (name) name = sprintf ('Region_%d', r); end fprintf (fid, '%d %d "%s"\n', M.Regions.dimension(r), r, name); end fprintf (fid, '$EndPhysicalNames\n'); end % Write the nodes fprintf (fid, '$Nodes\n'); fprintf (fid, '%d\n', size(M.Nodes.x,1)); buffer = [ 1:M.Nodes.nb ; M.Nodes.x' ; M.Nodes.y' ; M.Nodes.z' ]; fprintf (fid, '%d %10.10f %10.10f %10.10f\n', buffer); fprintf (fid, '$EndNodes\n'); % Write the elements % % In order to accelerate the printing, the elements are printed in groups of (blockSize) elements, and % are grouped by (homogeneous) type. This variable sets the size of each group. % blockSize = 100000; fprintf (fid, '$Elements\n'); fprintf (fid, '%d\n', M.Elements.nb); for h = 1 : blockSize : ceil(length(M.Elements.type)/blockSize)*blockSize e = h : min(length(M.Elements.type) , h+blockSize-1); % = elements being considered type = unique (M.Elements.type(e)); % = types of elements found in this group % % Process each type of element separately % for k = 1 : length(type) if type(k) == 0, continue; end et = e(find(M.Elements.type(e) == type(k))); % = elements of the group of the same type % % Determine the format for printing the elements % elementFormat = '%d %d %d %d %d %d\n'; for n = 1 : 4 elementFormat = [ elementFormat '%d ' ]; end elementFormat = [ elementFormat '\n' ]; % % Collect in a buffer all the data of the elements of index (et) % buffer = zeros (10 , length(et)); buffer(1,:) = et; buffer(2,:) = type(k); buffer(3,:) = 3; buffer(4,:) = M.Elements.region(et); buffer(5,:) = M.Elements.region(et); buffer(6,:) = 0; for n = 1 : 4 buffer(6+n,:) = M.Elements.tableOfNodes(et,n); end % % Print all the homogeneous elements in the group with a single instruction % fprintf (fid, elementFormat, buffer); end end fprintf (fid, '$EndElements\n'); fclose(fid); octave-iso2mesh-1.9.6+ds/savejmesh.m0000644001356000007640000001062413724766530016300 0ustar fangqadminfunction savejmesh(node,face,elem,fname,varargin) % % savejmesh(node,face,elem,fname,opt) % % export a mesh to the JMesh format defined in http://github.com/fangq/jmesh % % author: Qianqian Fang, % date: 2011/10/06 % % input: % node: input, node list, dimension (nn,3) % face: input, optional, surface face element list, dimension (be,3) % elem: input, tetrahedral element list, dimension (ne,4) % fname: output file name; if file name has a suffix .bmsh or .bmesh, % the mesh data will be saved in the binary jmesh format; otherwise, % the file will be saved as a text-based jmesh (which is a plain % JSON file) % opt: additional parameters in the form of 'parameter',value pairs % valid parameters include: % 'Dimension': 0 - a user defined mesh, 2- a 2D mesh, 3- a 3D mesh % 'Author': a string to set the author of the mesh % 'MeshTitle': a string to set the title of the mesh % 'MeshTag': a value as the tag of the mesh data % 'Comment': a string as the additional note for the mesh data % % please type 'help savejson' and 'help saveubjson' to see additional % supported options % % examples: % % [no,fc,el]=meshabox([0 0 0],[60,30,40],3,10); % savejmesh(no,fc,[],'box_surf.jmsh','dimension',3); % savejmesh(no,fc,el,'box_zlib.jmsh','compression','zlib'); % savejmesh(no,fc,el,'box.bmsh','dimension',3); % savejmesh(no,fc,el,'box_zlib.bmsh','dimension',3,'compression','zlib'); % mesh=loadubjson('box.bmsh') % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % if(nargin==2) fname=face; face=[]; elem=[]; end if(nargin==3) fname=elem; elem=[]; end if(length(varargin)==1 && ischar(varargin{1})) opt=struct('FileName',varargin{1}); else opt=varargin2struct(varargin{:}); end meshdim=jsonopt('Dimension',0,opt); mesh.x0x5F_DataInfo_=struct(); metadata.JMeshVersion=0.4; metadata.CreationTime=datestr(now); metadata.Comment=['Created by iso2mesh ' iso2meshver '(http://iso2mesh.sf.net)']; if(meshdim==0) % a user-defined mesh mesh.MeshNode=node; if(~isempty(face)) mesh.MeshSurf=face; end if(~isempty(elem)) mesh.MeshElem=elem; end elseif(meshdim==3) % a 3D mesh nd=size(node); if(nd(2)<3) error('expecting 3 or more columns in node'); end mesh.MeshVertex3=node(:,1:3); if(nd(2)>3) mesh.MeshVertex3=struct('Data',mesh.MeshVertex3,'Properties',struct('Value',node(:,4:end))); end if(~isempty(face)) nd=size(face); if(nd(2)<3) error('expecting 3 or more columns in face'); end mesh.MeshTri3=face(:,1:3); if(nd(2)>3) mesh.MeshTri3=struct('Data',mesh.MeshTri3,'Properties',struct('Value',face(:,4:end))); end end if(~isempty(elem)) nd=size(elem); if(nd(2)<4) error('expecting 4 or more columns in elem'); end mesh.MeshTet4=elem(:,1:4); if(nd(2)>4) mesh.MeshTet4=struct('Data',mesh.MeshTet4,'Properties',struct('Value',elem(:,5:end))); end end elseif(meshdim==2) % a 2D mesh nd=size(node); if(nd(2)<2) error('expecting 2 or more columns in node'); end mesh.MeshVertex2=node(:,1:2); if(nd(2)>2) mesh.MeshVertex2=struct('Data',mesh.MeshVertex2,'Properties',struct('Value',node(:,3:end))); end if(~isempty(face)) nd=size(face); if(nd(2)<3) error('expecting 3 or more columns in face'); end mesh.MeshTri3=face(:,1:3); if(nd(2)>3) mesh.MeshTri3=struct('Data',mesh.MeshTri3,'Properties',struct('Value',face(:,4:end))); end end if(~isempty(elem)) warning('elem is redundant in a 2D mesh, skip'); end else error('the specified Dimension is not supported, please remove to save data to a general format'); end author=jsonopt('Author','',opt); if(~isempty(author)) metadata.Author=author; end title=jsonopt('MeshTitle','',opt); if(~isempty(title)) metadata.MeshTitle=title; end tag=jsonopt('MeshTag',[],opt); if(~isempty(tag)) metadata.MeshTag=tag; end comm=jsonopt('Comment','',opt); if(~isempty(comm)) metadata.Comment=comm; end mesh.x0x5F_DataInfo_=metadata; if(~isempty(regexp(fname,'\.bmesh$', 'once')) || ~isempty(regexp(fname,'\.bmsh$', 'once'))) saveubjson('',mesh,'FileName',fname,varargin{:}); else savejson('',mesh,'FileName',fname,varargin{:}); end octave-iso2mesh-1.9.6+ds/proj2mesh.m0000644001356000007640000000674013724766530016230 0ustar fangqadminfunction [newpt elemid weight]=proj2mesh(v,f,pt,nv,cn,radmax) % [newpt elemid weight]=proj2mesh(v,f,pt,nv,cn) % % project a point cloud on to the surface mesh (surface can only be triangular) % % author: Qianqian Fang % date: 12/12/2008 % % parameters: % v: node coordinate of the surface mesh (nn x 3) % f: element list of the surface mesh (3 columns for % triangular mesh, 4 columns for cubic surface mesh) % pt: points to be projected, 3 columns for x,y and z respectively % nv: nodal norms (vector) calculated from nodesurfnorm.m % with dimensions of (size(v,1),3) % cn: a integer vector with the length of p, denoting the closest % surface nodes (indices of v) for each point in p. this % value can be calculated from dist2surf.m % radmax: if speicified, the search for elements to project will be % limited to those within a bounding box with half-edge-length % of radmax centered at the point to be projected % % if nv and cn are not supplied, proj2mesh will project the point % cloud onto the surface by the direction pointing to the centroid % of the mesh % % outputs: % newpt: the projected points from p % elemid: a vector of length of p, denotes which surface trangle (in elem) % contains the projected point % weight: the barycentric coordinate for each projected points, these are % the weights % % Please find more information at http://iso2mesh.sf.net/cgi-bin/index.cgi?metch % % this function is part of "metch" toobox, see COPYING for license cent=mean(v); enum=length(f); ec=reshape(v(f(:,1:3)',:)', [3 3,enum]); centroid=squeeze(mean(ec,2)); newpt =zeros(size(pt,1),3); elemid=zeros(size(pt,1),1); weight=zeros(size(pt,1),3); [idoldmesh,loc]=ismember(pt,v,'rows'); idnode=find(idoldmesh); if(~isempty(idnode)) [tt,ll]=ismember(loc(idnode),f); [p1,p2]=ind2sub(size(f),ll); % p1 is the index in f newpt(idnode,:)=pt(idnode,:); elemid(idnode)=p1; weight(sub2ind(size(weight),idnode,p2))=1; end radlimit=-1; if(nargin>=5) % if nv and cn are supplied, use nodal norms to project the points direction=nv(cn,:); if(nargin>=6) radlimit=radmax; end elseif(nargin==3) % otherwise, project toward the centroid direction=pt-repmat(cent,size(pt,1),1); end for t=1:size(pt,1) if(idoldmesh(t)~=0) continue; end maxdist=sqrt(sum((pt(t,:)-cent).*(pt(t,:)-cent))); if(radlimit>0) maxdist=radlimit; end idx=find(centroid(1,:)>pt(t,1)-maxdist & ... centroid(1,:)pt(t,2)-maxdist & ... centroid(2,:)pt(t,3)-maxdist & ... centroid(3,:) % date: 2007/11/21 % % input: % node: node coordinates % elem: element table of a mesh % option: if option='signed', the volume is the raw determinant, % else, the results will be the absolute values % % output: % vol: volume values for all elements % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % if(size(elem,2)==size(node,2)) enum=size(elem,1); vol=zeros(enum,1); acol=ones(3,1); for i=1:enum e1=det([node(elem(i,:),2),node(elem(i,:),3),acol]); e2=det([node(elem(i,:),3),node(elem(i,:),1),acol]); e3=det([node(elem(i,:),1),node(elem(i,:),2),acol]); vol(i)=sqrt(e1*e1+e2*e2+e3*e3)/2; end return; end dim=size(elem,2); enum=size(elem,1); vol=zeros(enum,1); for i=1:enum detmat=[node(elem(i,:),:)';ones(1,dim)]; vol(i)=det(detmat); end if(nargin==3 && strcmp(option,'signed')) vol=vol/prod(1:size(node,2)); else vol=abs(vol)/prod(1:size(node,2)); end octave-iso2mesh-1.9.6+ds/meshfix/0000755001356000007640000000000013673436411015570 5ustar fangqadminoctave-iso2mesh-1.9.6+ds/meshfix/vc8/0000755001356000007640000000000013673436411016270 5ustar fangqadminoctave-iso2mesh-1.9.6+ds/meshfix/vc8/meshfix.vcproj0000644001356000007640000000526013673436411021163 0ustar fangqadmin octave-iso2mesh-1.9.6+ds/meshfix/src/0000755001356000007640000000000013673436411016357 5ustar fangqadminoctave-iso2mesh-1.9.6+ds/meshfix/src/epsilonSampling.cpp0000755001356000007640000001366413673436411022244 0ustar fangqadmin/**************************************************************************** * JMeshExt * * * * Consiglio Nazionale delle Ricerche * * Istituto di Matematica Applicata e Tecnologie Informatiche * * Sezione di Genova * * IMATI-GE / CNR * * * * Authors: Marco Attene * * * * Copyright(C) 2006: IMATI-GE / CNR * * * * All rights reserved. * * * * This program is free software; you can redistribute it and/or modify * * it under the terms of the GNU General Public License as published by * * the Free Software Foundation; either version 2 of the License, or * * (at your option) any later version. * * * * This program is distributed in the hope that it will be useful, * * but WITHOUT ANY WARRANTY; without even the implied warranty of * * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * * GNU General Public License (http://www.gnu.org/licenses/gpl.txt) * * for more details. * * * ****************************************************************************/ #include "epsilonSampling.h" ////////////////////////////////////////////////////////////////////////// // // // Epsilon Sampling // // // ////////////////////////////////////////////////////////////////////////// void edgeSQLheap::push(Edge *e) { // If the heap size is exceeded, automatically double its size if (insert(e)==-1) { void **nheap = new void *[maxels*2+1]; for (int i=0; i<=maxels; i++) nheap[i]=heap[i]; delete(heap); heap = nheap; maxels*=2; insert(e); } } int edgeSQLheap::compare(const void *e1, const void *e2) { double l1 = ((Edge *)e1)->squaredLength(); double l2 = ((Edge *)e2)->squaredLength(); if (l1 > l2) return -1; if (l2 > l1) return 1; return 0; } int ExtTriMesh::epsilonSample(double epsilon, int numvertices) { Node *n; Edge *e, *f; Point p; int bdr, missv; double asl, msl=0.0; edgeSQLheap *eh; JMesh::begin_progress(); bool selection=0; Triangle *t; FOREACHTRIANGLE(t, n) if (IS_VISITED(t)) {selection=1; break;} if (numvertices) { if (numvertices <= V.numels()) {JMesh::end_progress(); return 0;} eh = new edgeSQLheap(numvertices*4); FOREACHEDGE(e, n) if (!selection || ((!e->t1 || IS_VISITED(e->t1)) || (!e->t2 || IS_VISITED(e->t2)))) eh->push(e); missv = numvertices-V.numels(); while (!eh->isEmpty() && V.numels() < numvertices) { JMesh::report_progress("%d %% done ", 100 - (100*(numvertices-V.numels()))/missv); e=eh->popHead(); bdr = e->isOnBoundary(); p = e->getMidPoint(); splitEdge(e, &p, (bool)selection); eh->push(e); f = ((Edge *)E.head()->data); if (!selection || ((!f->t1 || IS_VISITED(f->t1)) || (!f->t2 || IS_VISITED(f->t2)))) eh->push(f); f = ((Edge *)E.head()->next()->data); if (!selection || ((!f->t1 || IS_VISITED(f->t1)) || (!f->t2 || IS_VISITED(f->t2)))) eh->push(f); if (!bdr) {f = ((Edge *)E.head()->next()->next()->data); eh->push(f);} if (IS_SHARPEDGE(e)) { e = (!bdr)?((Edge *)E.head()->next()->next()->data):((Edge *)E.head()->next()->data); TAG_SHARPEDGE(e); } } } else if (epsilon == 0.0) { FOREACHEDGE(e, n) epsilon += e->length(); epsilon /= E.numels(); epsilon *= 2; epsilon *= epsilon; eh = new edgeSQLheap(E.numels()); FOREACHEDGE(e, n) if (e->squaredLength() > epsilon) eh->push(e); missv = eh->getnum(); while (!eh->isEmpty()) { JMesh::report_progress("%d %% done ", 100 - (100*(eh->getnum()))/missv); e=eh->popHead(); bdr = e->isOnBoundary(); p = e->getMidPoint(); splitEdge(e, &p); if (e->squaredLength() > epsilon) eh->push(e); e = ((Edge *)E.head()->data); if (e->squaredLength() > epsilon) eh->push(e); e = ((Edge *)E.head()->next()->data); if (e->squaredLength() > epsilon) eh->push(e); if (!bdr) { e = ((Edge *)E.head()->next()->next()->data); if (e->squaredLength() > epsilon) eh->push(e); } } } else { if (selection) JMesh::warning("epsilonSample: Selections not supported when 'epsilon' is active!\nResampling everything.\n"); FOREACHEDGE(e, n) if ((asl=e->squaredLength()) > msl) msl=asl; epsilon = msl*epsilon; eh = new edgeSQLheap(E.numels()); FOREACHEDGE(e, n) if (e->squaredLength() > epsilon) eh->push(e); missv = eh->getnum(); while (!eh->isEmpty()) { JMesh::report_progress("%d %% done ", 100 - (100*(eh->getnum()))/missv); e=eh->popHead(); bdr = e->isOnBoundary(); p = e->getMidPoint(); splitEdge(e, &p); if (e->squaredLength() > epsilon) eh->push(e); e = ((Edge *)E.head()->data); if (e->squaredLength() > epsilon) eh->push(e); e = ((Edge *)E.head()->next()->data); if (e->squaredLength() > epsilon) eh->push(e); if (!bdr) { e = ((Edge *)E.head()->next()->next()->data); if (e->squaredLength() > epsilon) eh->push(e); } } } delete(eh); JMesh::end_progress(); return 1; } octave-iso2mesh-1.9.6+ds/meshfix/src/holeFilling.cpp0000644001356000007640000004454313673436411021331 0ustar fangqadmin/**************************************************************************** * JMeshExt * * * * Consiglio Nazionale delle Ricerche * * Istituto di Matematica Applicata e Tecnologie Informatiche * * Sezione di Genova * * IMATI-GE / CNR * * * * Authors: Marco Attene * * * * Copyright(C) 2006: IMATI-GE / CNR * * * * All rights reserved. * * * * This program is free software; you can redistribute it and/or modify * * it under the terms of the GNU General Public License as published by * * the Free Software Foundation; either version 2 of the License, or * * (at your option) any later version. * * * * This program is distributed in the hope that it will be useful, * * but WITHOUT ANY WARRANTY; without even the implied warranty of * * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * * GNU General Public License (http://www.gnu.org/licenses/gpl.txt) * * for more details. * * * ****************************************************************************/ #include "holeFilling.h" ////////// Generic method for patching holes. Heuristic. ///////////// ////////// Small angles are patched first, if possible. ///////////// int ExtTriMesh::TriangulateHole(Edge *e) { if (!e->isOnBoundary()) return 0; List bvs; Node *n, *gn = NULL; Edge *e1, *e2; Vertex *v, *v1, *v2; double ang, gang; int nt = 0; Triangle *t; v = e->v1; t = (e->t1!=NULL)?(e->t1):(e->t2); if (t->nextEdge(e)->isOnBoundary() && t->prevEdge(e)->isOnBoundary()) return 0; do { bvs.appendHead(v); v = v->nextOnBoundary(); } while (v != e->v1); while (bvs.numels() > 2) { gang = DBL_MAX; FOREACHVVVERTEX((&bvs), v, n) if (!IS_VISITED(v) && v->e0 && (ang = v->getAngleForTriangulation()) < gang) {gang = ang; gn = n;} if (gang == DBL_MAX) { JMesh::warning("TriangulateHole: Can't complete the triangulation.\n"); FOREACHVVVERTEX((&bvs), v, n) UNMARK_VISIT(v); int i=0; FOREACHTRIANGLE(t, n) if (i++==nt) break; else unlinkTriangle(t); removeUnlinkedElements(); return 0; } v = ((Vertex *)gn->data); v1 = (Vertex *)((gn->next() != NULL)?(gn->next()):(bvs.head()))->data; v2 = (Vertex *)((gn->prev() != NULL)?(gn->prev()):(bvs.tail()))->data; e1 = v->getEdge(v1); e2 = v->getEdge(v2); if ((t=EulerEdgeTriangle(e1,e2))==NULL) MARK_VISIT(v); else {bvs.removeCell(gn); UNMARK_VISIT(v1); UNMARK_VISIT(v2); MARK_VISIT(t); nt++;} } return nt; } // Fills the hole identified by 'e' and leaves the new triangle selected. // 'refine_and_smooth' is for bi-laplacian fairing. void ExtTriMesh::FillHole(Edge *e, bool refine_and_smooth) { int i, nt; Node *n; Triangle *t; Vertex *v; deselectTriangles(); FOREACHVERTEX(v, n) UNMARK_VISIT(v); nt = TriangulateHole(e); if (!nt) return; i=0; FOREACHTRIANGLE(t, n) if (i++==nt) break; else MARK_VISIT(t); if (refine_and_smooth) { t = (Triangle *)T.head()->data; refineSelectedHolePatches(t); fairSelection(t); } } //// Triangulate Small Boundaries (with less than 'nbe' edges) ///// int ExtTriMesh::fillSmallBoundaries(int nbe, bool refine_patches, bool smooth_patches) { Vertex *v,*w; Triangle *t; Node *n; int grd, is_selection=0, tbds = 0, pct = 100; List bdrs; JMesh::begin_progress(); JMesh::report_progress("0%% done "); FOREACHTRIANGLE(t, n) if (IS_VISITED(t)) {is_selection=1; break;} if (is_selection) FOREACHTRIANGLE(t, n) if (!IS_VISITED(t)) {MARK_VISIT2(t->v1()); MARK_VISIT2(t->v2()); MARK_VISIT2(t->v3());} FOREACHVERTEX(v, n) { grd = 0; if (!IS_VISITED2(v) && v->isOnBoundary()) { tbds++; w = v; do { if (IS_VISITED2(w)) grd=nbe+1; MARK_VISIT2(w); grd++; w = w->nextOnBoundary(); } while (w && w != v); if (w && grd <= nbe) bdrs.appendHead(w->nextBoundaryEdge()); } } FOREACHVERTEX(v, n) {UNMARK_VISIT(v); UNMARK_VISIT2(v);} deselectTriangles(); pct=0; FOREACHNODE(bdrs, n) { if (TriangulateHole((Edge *)n->data) && refine_patches) { t = (Triangle *)T.head()->data; if (!refineSelectedHolePatches(t) && smooth_patches) fairSelection(t); } JMesh::report_progress("%d%% done ",((++pct)*100)/bdrs.numels()); } grd = bdrs.numels(); JMesh::end_progress(); return grd; } // Inserts new vertices in the current selection so as // to reflect the density of the surrounding mesh. // This method assumes that the selection has no internal vertices. int ExtTriMesh::refineSelectedHolePatches(Triangle *t0) { Node *n, *m; Triangle *t, *t1, *t2; Edge *e, *f; Vertex *v; List *ve, toswap, reg, all_edges, interior_edges, boundary_edges, boundary_vertices, interior_vertices; double sigma, l, sv1, sv2, sv3, dv1, dv2, dv3; int swaps, totits, nee, ntb, nnt=-1, pnnt, gits=0; const double alpha = 1.4142136; Point vc; if (t0 != NULL) { UNMARK_VISIT(t0); toswap.appendHead(t0); while ((t=(Triangle *)toswap.popHead()) != NULL) { reg.appendHead(t); t1=t->t1(); if (IS_VISITED(t1)) {UNMARK_VISIT(t1); toswap.appendHead(t1);} t1=t->t2(); if (IS_VISITED(t1)) {UNMARK_VISIT(t1); toswap.appendHead(t1);} t1=t->t3(); if (IS_VISITED(t1)) {UNMARK_VISIT(t1); toswap.appendHead(t1);} } FOREACHVTTRIANGLE((®), t, n) MARK_VISIT(t); } else FOREACHTRIANGLE(t, n) if (IS_VISITED(t)) reg.appendHead(t); FOREACHVTTRIANGLE((®), t, n) { e = t->e1; if (!IS_VISITED2(e)) {MARK_VISIT2(e); all_edges.appendHead(e);} else UNMARK_VISIT2(e); e = t->e2; if (!IS_VISITED2(e)) {MARK_VISIT2(e); all_edges.appendHead(e);} else UNMARK_VISIT2(e); e = t->e3; if (!IS_VISITED2(e)) {MARK_VISIT2(e); all_edges.appendHead(e);} else UNMARK_VISIT2(e); } while (all_edges.numels()) { e = (Edge *)all_edges.popHead(); if (IS_VISITED2(e)) {boundary_edges.appendHead(e); UNMARK_VISIT2(e);} else {interior_edges.appendHead(e); MARK_VISIT2(e);} } FOREACHVEEDGE((&boundary_edges), e, n) { v = e->v1; if (!IS_VISITED2(v)) {MARK_VISIT2(v); boundary_vertices.appendHead(v);} v = e->v2; if (!IS_VISITED2(v)) {MARK_VISIT2(v); boundary_vertices.appendHead(v);} } FOREACHVVVERTEX((&boundary_vertices), v, n) UNMARK_VISIT2(v); // Due to the above definitions, interior edges are VISITED2 FOREACHVVVERTEX((&boundary_vertices), v, n) { ve = v->VE(); sigma=0; nee=0; FOREACHVEEDGE(ve, e, m) if (!IS_VISITED2(e)) {nee++; sigma += e->length();} sigma /= nee; v->info = new double(sigma); delete(ve); } FOREACHVEEDGE((&interior_edges), e, n) UNMARK_VISIT2(e); FOREACHVEEDGE((&boundary_edges), e, n) MARK_BIT(e, 3); do { pnnt=nnt; nnt=0; FOREACHVTTRIANGLE((®), t, n) { vc = t->getCenter(); sv1 = (*(double *)t->v1()->info); sv2 = (*(double *)t->v2()->info); sv3 = (*(double *)t->v3()->info); sigma = (sv1+sv2+sv3)/3.0; dv1 = alpha*(t->v1()->distance(&vc)); dv2 = alpha*(t->v2()->distance(&vc)); dv3 = alpha*(t->v3()->distance(&vc)); if (dv1>sigma && dv1>sv1 && dv2>sigma && dv2>sv2 && dv3>sigma && dv3>sv3) { ntb = T.numels(); v = splitTriangle(t,&vc,1); nnt += (T.numels()-ntb); if (T.numels() == ntb+2) { v->info = new double(sigma); interior_vertices.appendHead(v); interior_edges.appendHead(v->e0); interior_edges.appendHead(v->e0->leftTriangle(v)->prevEdge(v->e0)); interior_edges.appendHead(v->e0->rightTriangle(v)->nextEdge(v->e0)); t1 = ((Triangle *)T.head()->data); t2 = ((Triangle *)T.head()->next()->data); t1->mask = t2->mask = t->mask; reg.appendHead(t1); reg.appendHead(t2); } } } FOREACHVEEDGE((&interior_edges), e, n) {MARK_VISIT2(e); toswap.appendHead(e);} totits=0; swaps=1; while (swaps && totits++ < 10) { swaps = 0; while ((e=(Edge *)toswap.popHead())!=NULL) { UNMARK_VISIT2(e); l = e->squaredLength(); if (e->swap()) { if (e->squaredLength() >= l*0.999999) e->swap(1); else { swaps++; toswap.appendTail(e); f = e->t1->nextEdge(e); if (!IS_VISITED2(f) && !IS_BIT(f, 3)) {MARK_VISIT2(f); toswap.appendTail(f);} f = e->t1->prevEdge(e); if (!IS_VISITED2(f) && !IS_BIT(f, 3)) {MARK_VISIT2(f); toswap.appendTail(f);} f = e->t2->nextEdge(e); if (!IS_VISITED2(f) && !IS_BIT(f, 3)) {MARK_VISIT2(f); toswap.appendTail(f);} f = e->t2->prevEdge(e); if (!IS_VISITED2(f) && !IS_BIT(f, 3)) {MARK_VISIT2(f); toswap.appendTail(f);} } } } } if (pnnt==nnt) gits++; } while (nnt && gits<10); FOREACHVEEDGE((&boundary_edges), e, n) UNMARK_BIT(e, 3); FOREACHVVVERTEX((&boundary_vertices), v, n) {delete((double *)v->info); v->info=NULL;} FOREACHVVVERTEX((&interior_vertices), v, n) {delete((double *)v->info); v->info=NULL;} if (gits>=10) {JMesh::warning("Fill holes: Refinement stage failed to converge. Breaking.\n"); return 1;} return 0; } // Fairs the inner vertices of the selection using a second-order umbrella operator // similar to a boundary constrained bi-laplacian smoothing void fs_sparseSystem::solve(List *vl) { if (kterm_size != 3) JMesh::error("fs_sparseSystem::solve(List *): Known term size is not 3!\n"); Node *n; int i, nv = vl->numels(); if (nv != num_variables) JMesh::error("fs_sparseSystem::solve(List *): Vertex list size does not match system size!\n"); double *x = new double[nv]; sparseSystem::solve(x, 0); for(i=0, n=vl->head(); inext()) ((Vertex *)n->data)->x = -x[i]; sparseSystem::solve(x, 1); for(i=0, n=vl->head(); inext()) ((Vertex *)n->data)->y = -x[i]; sparseSystem::solve(x, 2); for(i=0, n=vl->head(); inext()) ((Vertex *)n->data)->z = -x[i]; delete(x); } void ExtTriMesh::fairSelection(Triangle *t0) { Node *n, *m, *o; Triangle *t; Edge *e1, *e2; Vertex *v, *vicino, *vicino2; List *vt, interior_vertices, all_vertices, *vicini, *vicini2; int i, j, isb, niv; double peso, W_j, W_vicino, W_j_vicino, W_vicino_vicino2; // FOREACHVERTEX(v, n) UNMARK_VISIT(v); if (t0 != NULL) { List toswap, reg; Triangle *t1; UNMARK_VISIT(t0); toswap.appendHead(t0); while ((t=(Triangle *)toswap.popHead()) != NULL) { reg.appendHead(t); v = t->v1(); if (!IS_VISITED(v)) {MARK_VISIT(v); all_vertices.appendHead(v);} v = t->v2(); if (!IS_VISITED(v)) {MARK_VISIT(v); all_vertices.appendHead(v);} v = t->v3(); if (!IS_VISITED(v)) {MARK_VISIT(v); all_vertices.appendHead(v);} t1=t->t1(); if (IS_VISITED(t1)) {UNMARK_VISIT(t1); toswap.appendHead(t1);} t1=t->t2(); if (IS_VISITED(t1)) {UNMARK_VISIT(t1); toswap.appendHead(t1);} t1=t->t3(); if (IS_VISITED(t1)) {UNMARK_VISIT(t1); toswap.appendHead(t1);} } FOREACHVTTRIANGLE((®), t, n) MARK_VISIT(t); } else { FOREACHTRIANGLE(t, n) if (IS_VISITED(t)) { v = t->v1(); if (!IS_VISITED(v)) {MARK_VISIT(v); all_vertices.appendHead(v);} v = t->v2(); if (!IS_VISITED(v)) {MARK_VISIT(v); all_vertices.appendHead(v);} v = t->v3(); if (!IS_VISITED(v)) {MARK_VISIT(v); all_vertices.appendHead(v);} } } FOREACHVVVERTEX((&all_vertices), v, n) { isb=0; vt = v->VT(); FOREACHVTTRIANGLE(vt, t, m) if (!IS_VISITED(t)) {isb=1; break;} delete(vt); if (isb) UNMARK_VISIT(v); else interior_vertices.appendHead(v); } if (!interior_vertices.numels()) return; niv = interior_vertices.numels(); fs_sparseSystem sps(niv); for(i=0, n=interior_vertices.head(); inext()) { sps.sumCoefficient(1, i, i); ((Vertex *)n->data)->info = (void *)i; } for(j=0, o=interior_vertices.head(); jnext()) { v = (Vertex *)o->data; vicini = v->VE(); W_j=0; FOREACHVEEDGE(vicini, e1, n) W_j += e1->length(); FOREACHVEEDGE(vicini, e1, n) { vicino = e1->oppositeVertex(v); vicini2 = vicino->VE(); W_vicino=0; FOREACHVEEDGE(vicini2, e2, m) W_vicino += e2->length(); W_j_vicino = e1->length(); if (IS_VISITED(vicino)) sps.sumCoefficient(-2*W_j_vicino/W_j, j, (long int)vicino->info); else { sps.sumKnownTerm(2*W_j_vicino/W_j*vicino->x, j, 0); sps.sumKnownTerm(2*W_j_vicino/W_j*vicino->y, j, 1); sps.sumKnownTerm(2*W_j_vicino/W_j*vicino->z, j, 2); } FOREACHVEEDGE(vicini2, e2, m) { vicino2 = e2->oppositeVertex(vicino); W_vicino_vicino2 = e2->length(); peso = W_j_vicino * W_vicino_vicino2 / ( W_j * W_vicino); if (IS_VISITED(vicino2)) sps.sumCoefficient(peso, j, (long int)vicino2->info); else { sps.sumKnownTerm(-peso*vicino2->x, j, 0); sps.sumKnownTerm(-peso*vicino2->y, j, 1); sps.sumKnownTerm(-peso*vicino2->z, j, 2); } } delete vicini2; } delete vicini; } sps.solve(&interior_vertices); FOREACHVVVERTEX((&all_vertices), v, n) UNMARK_VISIT(v); } // This method looks if exactly two vertices belonging to two different boundary loops are // selected. If so, such a pair is joined through an edge and a pair of triangles is added // to change the topology of the mesh (2 boundaries -> 1 boundary). // On success, the return value is the new edge connecting the two vertices selected. // Returns NULL if it could not detect such a pair of vertices. // If 'justconnect', the remaining hole is not patched. // If 'refine', the patching triangles are refined to reproduce neighboring density // If 'fair', the refined vertices are moved so as get tangential continuity Edge *ExtTriMesh::joinBoundaryLoops(bool justconnect, bool refine, bool fair) { Vertex *v, *gv=NULL, *gw=NULL; Node *n; FOREACHVERTEX(v, n) if (IS_VISITED(v)) {if (gv==NULL) gv=v; else if (gw==NULL) gw=v; else return NULL;} return joinBoundaryLoops(gv, gw, justconnect, refine, fair); } Edge *ExtTriMesh::joinBoundaryLoops(Vertex *gv, Vertex *gw, bool justconnect, bool refine, bool fair) { Vertex *v, *gvn, *gwn; Edge *e, *gve, *gwe; Triangle *t; Node *n; double tl1=0.0, tl2=0.0, pl1, pl2; if (gv==NULL || gw==NULL || !gv->isOnBoundary() || !gw->isOnBoundary()) return NULL; FOREACHVERTEX(v, n) UNMARK_VISIT(v); deselectTriangles(); v=gv; if (!justconnect) { do {v=v->nextOnBoundary(); if (v==gw) return NULL;} while (v!=gv); } else { gvn=gv->nextOnBoundary(); gwn=gv->prevOnBoundary(); if (gw==gvn || gw==gwn) return NULL; if (gw == gvn->nextOnBoundary()) {t=EulerEdgeTriangle(gvn->prevBoundaryEdge(), gvn->nextBoundaryEdge()); MARK_VISIT(t); return t->oppositeEdge(gvn);} if (gw == gwn->prevOnBoundary()) {t=EulerEdgeTriangle(gwn->prevBoundaryEdge(), gwn->nextBoundaryEdge()); MARK_VISIT(t); return t->oppositeEdge(gwn);} } gve = gv->prevBoundaryEdge(); gvn = gve->oppositeVertex(gv); gwe = gw->nextBoundaryEdge(); gwn = gwe->oppositeVertex(gw); Edge *je = CreateEdge(gv, gw); Edge *je1 = CreateEdge(gv, gwn); Edge *je2 = CreateEdge(gwn, gvn); t = CreateTriangle(je, gwe, je1); MARK_VISIT(t); t = CreateTriangle(je1, je2, gve); MARK_VISIT(t); if (justconnect) return je; v=gv; do {e=v->nextBoundaryEdge(); v=e->oppositeVertex(v); tl1+=e->length();} while (v!=gv); v=gw; do {e=v->nextBoundaryEdge(); v=e->oppositeVertex(v); tl2+=e->length();} while (v!=gw); pl1=tl1; pl2=tl2; double c1, c2; e=je; while (e->isOnBoundary()) { gv = (e->t2 != NULL)?(e->v2):(e->v1); gve=gv->nextBoundaryEdge(); gw = (e->t1 != NULL)?(e->v2):(e->v1); gwe=gw->prevBoundaryEdge(); c1 = fabs((pl1-gve->length())*tl2-pl2*tl1); c2 = fabs((pl2-gwe->length())*tl1-pl1*tl2); if (c1length(); e = t->nextEdge(gve); } else { t=EulerEdgeTriangle(gwe, e); if(!t) { JMesh::warning("joinBoundaryLoops not successful\n"); break; } MARK_VISIT(t); pl2 -= gwe->length(); e = t->prevEdge(gwe); } } if (refine) { refineSelectedHolePatches(); if (fair) fairSelection(); } return je; } /* Edge *ExtTriMesh::joinBoundaryLoops(bool justconnect, bool refine, bool fair) { Vertex *v, *gv=NULL, *gw=NULL, *gvn, *gwn; Edge *e, *gve, *gwe; Triangle *t; Node *n; FOREACHVERTEX(v, n) if (IS_VISITED(v)) {if (gv==NULL) gv=v; else if (gw==NULL) gw=v; else return NULL;} if (gv==NULL || gw==NULL || !gv->isOnBoundary() || !gw->isOnBoundary()) return NULL; FOREACHVERTEX(v, n) UNMARK_VISIT(v); v=gv; if (!justconnect) { do {v=v->nextOnBoundary(); if (v==gw) return NULL;} while (v!=gv); } else { gvn=gv->nextOnBoundary(); gwn=gv->prevOnBoundary(); if (gw==gvn || gw==gwn) return NULL; if (gw == gvn->nextOnBoundary()) {t=EulerEdgeTriangle(gvn->prevBoundaryEdge(), gvn->nextBoundaryEdge()); MARK_VISIT(t); return t->oppositeEdge(gvn);} if (gw == gwn->prevOnBoundary()) {t=EulerEdgeTriangle(gwn->prevBoundaryEdge(), gwn->nextBoundaryEdge()); MARK_VISIT(t); return t->oppositeEdge(gwn);} } gve = gv->prevBoundaryEdge(); gvn = gve->oppositeVertex(gv); gwe = gw->nextBoundaryEdge(); gwn = gwe->oppositeVertex(gw); Edge *je = CreateEdge(gv, gw); Edge *je1 = CreateEdge(gv, gwn); Edge *je2 = CreateEdge(gwn, gvn); t = CreateTriangle(je, gwe, je1); MARK_VISIT(t); t = CreateTriangle(je1, je2, gve); MARK_VISIT(t); if (justconnect) return je; double lb1=0.0, lb2=0.0; int nb1=0, nb2=0; Edge *ne; v=gv; while ((e=v->nextBoundaryEdge()) != je2) { lb1 += e->length(); nb1++; v=e->oppositeVertex(v); } v=e->oppositeVertex(v); while ((e=v->nextBoundaryEdge()) != je) { lb2 += e->length(); nb2++; v=e->oppositeVertex(v); } e=je; while (nb1+nb2) { if (lb1>lb2) { v = (e->t2 != NULL)?(e->v2):(e->v1); ne=v->nextBoundaryEdge(); t=EulerEdgeTriangle(e, ne); MARK_VISIT(t); lb1 -= ne->length(); nb1--; e = t->nextEdge(ne); } else { v = (e->t1 != NULL)?(e->v2):(e->v1); ne=v->prevBoundaryEdge(); t=EulerEdgeTriangle(ne, e); MARK_VISIT(t); lb2 -= ne->length(); nb2--; e = t->prevEdge(ne); } } if (refine) { refineSelectedHolePatches(); if (fair) fairSelection(); } return je; } */ octave-iso2mesh-1.9.6+ds/meshfix/src/mwExtensions.cpp0000644001356000007640000010325413673436411021573 0ustar fangqadmin#include "exttrimesh.h" #include "component.h" #include "detectIntersections.h" /* Assumes that the Triangulation consists of exactly 2 components, each having no selfintersections. If they overlap, they will be joined and the overlapping parts will be deleted. */ int ExtTriMesh::joinOverlappingComponentPair() { this->deselectTriangles(); List *components = this->getComponentsList(); if( components->numels() > 2 ) JMesh::error("Triangulation consists of more than 2 components.\n"); if( components->numels() < 2 ) { JMesh::info("Only 1 component, nothing joined.\n"); return 0; } // select the intersecting triangles, which form the boundaries if(!this->selectIntersectingTriangles()) { JMesh::info("Component pair doesn't overlap. Nothing joined.\n"); return 0; } // Identify the two most distant triangles (which are assumed to be not part of the overlap), // to determine which chunks to keep after removing the intersecting triangles ComponentStruct c1((List*) components->popHead()), c2((List*) components->popHead()); Triangle *t1, *t2; Node *n; FOREACHVTTRIANGLE(c1.triangles, t1, n) if(IS_VISITED(t1)) break; FOREACHVTTRIANGLE(c2.triangles, t2, n) if(IS_VISITED(t2)) break; c1.vertices = c1.getVertices(2); c2.vertices = c2.getVertices(2); Vertex *v1, *v2; this->mostDistantPartner(t1->v1(), c2.vertices, &v2); this->mostDistantPartner(t2->v1(), c1.vertices, &v1); c1.clear(); c2.clear(); t1 = v1->e0->t1; t2 = v2->e0->t1; // now delete the boundaries and have at least 2 shells with boundaries this->removeSelectedTriangles(); if(!t1 || !t2) JMesh::error("Algorithm using most distant points didn't work ...\n"); this->selectConnectedComponent(t1, false); this->selectConnectedComponent(t2, false); this->invertSelection(); this->removeSelectedTriangles(); // remove more triangles close to the overlap, to make the holes bigger for better joining this->selectBoundaryTriangles(); this->growSelection(); this->removeSelectedTriangles(); this->removeSmallestComponents(2); c1 = ComponentStruct(t1); c2 = ComponentStruct(t2); int ret = this->joinComponentsBiggestBoundaryPair(c1.triangles, c2.triangles, DBL_MAX); this->eulerUpdate(); this->fillSmallBoundaries(0, true, false); return ret; } /* Assumes that the Triangulation consists of exactly 2 components, each having no selfintersections. If they overlap, they will be joined and the overlapping parts will be deleted. */ int ExtTriMesh::joinOverlappingComponentPair2() { this->deselectTriangles(); List *components = this->getComponentsList(); if( components->numels() > 2 ) JMesh::error("Triangulation consists of more than 2 components.\n"); if( components->numels() < 2 ) { JMesh::info("Only 1 component, nothing joined.\n"); return 0; } // select the intersecting triangles, which form the boundaries List *first = (List*) components->head()->data; Triangle *t; Node *n; // mark4 first component FOREACHVTTRIANGLE(first, t, n) { MARK_BIT(t,4); MARK_BIT(t->v1(),4); MARK_BIT(t->v2(),4); MARK_BIT(t->v3(),4); } delete(first); delete(components); // mark5 second component FOREACHTRIANGLE(t, n) if(!IS_BIT(t,4)) { MARK_BIT(t,5); MARK_BIT(t->v1(),5); MARK_BIT(t->v2(),5); MARK_BIT(t->v3(),5); } this->markTrianglesInsideComponent(6, 5, 4); this->markTrianglesInsideComponent(7, 4, 5); // unmark mask bits that are used by other subfunctions to prevent side effects FOREACHTRIANGLE(t, n) { UNMARK_BIT(t, 1); UNMARK_BIT(t, 2); UNMARK_BIT(t, 3); } FOREACHTRIANGLE(t, n) if(t->mask & (1<<6 | 1<<7)) t->mask = 1; this->removeSelectedTriangles(); this->eulerUpdate(); this->removeSmallestComponents(2); if(this->shells() != 2) return 0; FOREACHTRIANGLE(t, n) if(!IS_BIT(t,5)) break; ComponentStruct c1(t); FOREACHTRIANGLE(t, n) if(!IS_BIT(t,4)) break; ComponentStruct c2(t); int ret = this->joinComponentsBiggestBoundaryPair(c1.triangles, c2.triangles, 10); if(!ret) { this->selectBoundaryTriangles(); this->removeSelectedTriangles(); FOREACHTRIANGLE(t, n) if(!IS_BIT(t,5)) break; c1 = ComponentStruct(t); FOREACHTRIANGLE(t, n) if(!IS_BIT(t,4)) break; c2 = ComponentStruct(t); ret = this->joinComponentsBiggestBoundaryPair(c1.triangles, c2.triangles, 10); if(!ret) return 0; } this->eulerUpdate(); this->fillSmallBoundaries(0, true, false); this->unmarkEverything(); return ret; } int ExtTriMesh::joinComponentsBiggestBoundaryPair(List *nl, List *ml, double joinDistance) { ComponentStruct cn(nl), cm(ml); cn.initializeBoundaries(); cm.initializeBoundaries(); List *loop, *biggestLoop1 = NULL, *biggestLoop2 = NULL; // get the pair of the biggest boundary loops List *tmp = new List(); while (loop = (List*) cn.boundaries->popHead()) { if(biggestLoop1 && loop->numels() <= biggestLoop1->numels()) tmp->appendHead(loop); else biggestLoop1 = loop; } cn.boundaries->joinTailList(tmp); while (loop = (List*) cm.boundaries->popHead()) { if(biggestLoop2 && loop->numels() <= biggestLoop2->numels()) tmp->appendHead(loop); else biggestLoop2 = loop; } cm.boundaries->joinTailList(tmp); delete(tmp); bool ret = joinBoundaryPair(biggestLoop1, biggestLoop2); this->eulerUpdate(); this->fillSmallBoundaries(this->E.numels()); cn.clear(); cm.clear(); return ret; } bool ExtTriMesh::joinBoundaryPair(List *bl1, List *bl2) { Vertex *v, *w; Node *n; FOREACHVVVERTEX(bl1, v, n) { double d = getClosestPartner(v, bl2, &w); if(joinBoundaryLoops(v, w, false, true, false)) return true; } return false; } bool ExtTriMesh::loopsHaveAllVerticesCloserThanDistance(List *loop, List *loop2, const double &distance) { Node *n, *m; Vertex *v, *w; const double d2 = distance*distance; if (loop->numels() && loop2->numels()) { FOREACHVVVERTEX(loop, v, n) { bool foundClosePartner = false; FOREACHVVVERTEX(loop2, w, m) { if( v->squaredDistance(w) < d2 ) { foundClosePartner = true; break; } } if (!foundClosePartner) return false; } return true; } return false; } double ExtTriMesh::closestPair(List *l1, List *l2, Vertex **closest1, Vertex **closest2) { Node *n, *m; Vertex *v,*w; double adist, mindist = DBL_MAX; FOREACHVVVERTEX(l1, v, n) { FOREACHVVVERTEX(l2, w, m) { if ((adist = w->squaredDistance(v)) < mindist) { mindist=adist; *closest1 = v; *closest2 = w; } } } return mindist; } double ExtTriMesh::mostDistantPartner(Vertex *v, List *l, Vertex **distantPartner) { Node *m; Vertex *w; double adist, maxdist = 0; FOREACHVVVERTEX(l, w, m) { if ((adist = w->squaredDistance(v)) > maxdist) { maxdist=adist; *distantPartner = w; } } return maxdist; } double ExtTriMesh::getClosestPartner(Vertex *v, List *l, Vertex **closestParnter) { Node *m; Vertex *w; double adist, mindist = DBL_MAX; FOREACHVVVERTEX(l, w, m) { if ((adist = w->squaredDistance(v)) < mindist) { mindist=adist; *closestParnter = w; } } return mindist; } int ExtTriMesh::moveVerticesInwards(Point &componentCenter, std::map &origin, double stepsize, double distance) { List todo(new di_cell(this)), cells; di_cell *c, *c2; int i = 0; int ret = 0; double stepsize2 = stepsize*stepsize; while (c = (di_cell *)todo.popHead()) { if (i > DI_MAX_NUMBER_OF_CELLS || c->triangles.numels() <= 10 || (c->Mp-c->mp).length() < distance) cells.appendHead(c); else { i++; JMesh::report_progress(NULL); c2 = c->fork(); if (!c->containsBothShells(1,2)) delete(c); else todo.appendTail(c); if (!c2->containsBothShells(1,2)) delete(c2); else todo.appendTail(c2); } } JMesh::report_progress(""); Node *n, *m; Triangle *t, *t2; Vertex *v1, *v2; double distance2 = distance*distance; while (c = (di_cell *)cells.popHead()) { std::set vertices; FOREACHVTTRIANGLE((&c->triangles), t, n) { vertices.insert(t->v1()); vertices.insert(t->v2()); vertices.insert(t->v3()); } for(std::set::const_iterator itv1 = vertices.begin(); itv1 != vertices.end(); ++itv1) { v1 = *itv1; if(IS_BIT(v1, 2)) { FOREACHVTTRIANGLE((&c->triangles), t, n) if(IS_BIT(t, 1)) { Point center = t->getCircleCenter(); double radius2 = MAX(center.squaredDistance(t->v1()),distance2); if(center.squaredDistance(v1) < radius2) { Point n = t->getNormal()*distance, p = center + n; v2->intersectionWithPlane(v1, &origin[v1], &p, &n); if(v1->squaredDistance(&origin[v1]) > v2->squaredDistance(&origin[v1])) *v1 += *v2 - *v1; UNMARK_BIT(v1,2); } } } } } FOREACHVERTEX(v1, n) if(IS_BIT(v1,2)) { double dist = origin[v1].distance(v1); if(dist > stepsize) *v1 += (origin[v1]-(*v1))*(stepsize/dist); else { *v1 = origin[v1]; UNMARK_BIT(v1,2); } ret++; } return ret; } bool ExtTriMesh::decoupleFirstFromSecondComponent(double minAllowedDistance, unsigned max_iterations, bool treatFirstAsOuter, bool outwards) { bool quiet = JMesh::quiet; int iteration_counter = 0; short constantBit = 4, decoupleBit = 5 , markBit = 6; Triangle *t; Node *n; Vertex *v; ExtTriMesh *shellToDecouple, *constantShell; // temporary triangulation for intermediate cleaning etc. if(this->shells() != 2) JMesh::error("Must have exactly 2 components.\n"); shellToDecouple = (ExtTriMesh*) this->extractFirstShell(); constantShell = (ExtTriMesh*) this->extractFirstShell(); this->joinTailTriangulation(shellToDecouple); delete(shellToDecouple); // dilate the constant component by d, to contrain the minAllowedDistance constantShell->dilate((treatFirstAsOuter? 1:-1)*minAllowedDistance); JMesh::quiet = true; constantShell->clean(); JMesh::quiet = quiet; while(iteration_counter++ < max_iterations) { this->selectAllTriangles(decoupleBit); // mark component to decouple unsigned toDecoupleTriangleNumber = this->T.numels(); constantShell->selectAllTriangles(constantBit); // mark constant component this->joinHeadTriangulation(constantShell); JMesh::info("Iteration %d\n", iteration_counter); // A.T.: the markBit should not be 0, as 0 is also used to mark the intersecting triangles // in markTrianglesInsideComponent unsigned nt = this->markTrianglesInsideComponent(markBit, decoupleBit, constantBit, !treatFirstAsOuter && !outwards); // A.T.: the last argument !treatFirstAsOuter && !outwards ensures that intersection triangles are treated as outside when the inner shell // moved inside, and treated as inside when the outer shell is moved (both for out-out and out-in case) FOREACHTRIANGLE(t, n) { if (IS_BIT(t,markBit)) MARK_BIT(t,0); else UNMARK_BIT(t,0); } // unmark mask bits that are used by other subfunctions to prevent side effects FOREACHTRIANGLE(t, n) { UNMARK_BIT(t, 1); UNMARK_BIT(t, 2); UNMARK_BIT(t, 3); } constantShell = (ExtTriMesh*) this->extractFirstShell(); if((treatFirstAsOuter && nt == 0 && outwards) || // outer outwards (treatFirstAsOuter && nt == 0 && !outwards) || // outer inwards (!treatFirstAsOuter && nt == toDecoupleTriangleNumber && !outwards) // inner inwards ) break; // finished std::map shift; FOREACHVERTEX(v, n) UNMARK_VISIT(v); // we have overlapping triangles FOREACHTRIANGLE(t, n) { // IS_BIT(t,0) == triangle is inside the constant component if(( IS_BIT(t,0) && treatFirstAsOuter && outwards) || // outer outwards (move inside triangles out) ( IS_BIT(t,0) && treatFirstAsOuter && !outwards) || // outer inwards (move inside triangles in) (!IS_BIT(t,0) && !treatFirstAsOuter && !outwards) // inner inwards (move outside triangles in) ) { // compute shift for affected vertices MARK_VISIT(t->v1()); MARK_VISIT(t->v2()); MARK_VISIT(t->v3()); } UNMARK_BIT(t,0); } // compute shift as mean weighted normal of surrounding triangles FOREACHVERTEX(v, n) if(IS_VISITED(v)) { shift[v] = v->getNormal()*0.5*(outwards? 1 : -1); UNMARK_VISIT(v); } for(std::map::iterator it = shift.begin(); it != shift.end(); ++it) { v = it->first; *v += it->second; } this->unmarkEverything(); JMesh::report_progress("Cleaning ..."); JMesh::quiet = true; this->clean(); // and clean and repair it (because the shift could have produced new intersections ...) this->checkAndRepair(); JMesh::quiet = quiet; JMesh::report_progress(""); } if(iteration_counter < max_iterations) return true; return false; } void ExtTriMesh::cutFirstWithSecondComponent(double minAllowedDistance, bool cutOuter) { Triangle *t; Node *n; bool quiet = JMesh::quiet; short constantBit = 4, cutBit = 5, markBit=6; if(this->shells() != 2) JMesh::error("Must have exactly 2 components.\n"); ExtTriMesh *shellToCut, *constantShell; // temporary triangulation for intermediate cleaning etc. shellToCut = (ExtTriMesh*) this->extractFirstShell(); constantShell = (ExtTriMesh*) this->extractFirstShell(); this->joinTailTriangulation(shellToCut); delete(shellToCut); // dilate the inner component by d, to contrain the minAllowedDistance constantShell->dilate(-1*minAllowedDistance); JMesh::quiet = true; constantShell->clean(); JMesh::quiet = quiet; this->selectAllTriangles(cutBit); constantShell->selectAllTriangles(constantBit); this->joinHeadTriangulation(constantShell); // A.T.: the markBit should not be 0, as 0 is also used to mark the intersecting triangles // in markTrianglesInsideComponent unsigned nt = this->markTrianglesInsideComponent(markBit, cutBit, constantBit, cutOuter); // A.T.: the last argument cutOuter ensures that intersection triangles are treated as outside when the inner shell is cut // and as inside when the outer shell is cut FOREACHTRIANGLE(t, n) { if (IS_BIT(t,markBit)) MARK_BIT(t,0); else UNMARK_BIT(t,0); } // unmark mask bits that are used by other subfunctions to prevent side effects FOREACHTRIANGLE(t, n) {UNMARK_BIT(t, 1); UNMARK_BIT(t, 2); UNMARK_BIT(t, 3); } constantShell = (ExtTriMesh*) this->extractFirstShell(); // extract constant component if(cutOuter) this->invertSelection(); this->removeSelectedTriangles(); this->unmarkEverything(); this->checkAndRepair(); this->clean(); } int ExtTriMesh::markTrianglesInsideComponent(short insideMarkBit, short componentMarkBit1, short componentMarkBit2, bool treatIntersectionsAsOutside) { Triangle *t, *tHlp, *t0, *t1, *t2, *t3; Node *n, *nHlp; Vertex *vHlp; Point BBoxMin, BBoxMax, TCtr; int counter; if ( insideMarkBit<3 || componentMarkBit1<3 || componentMarkBit2<3) JMesh::warning("markTrianglesInsideComponent: All bits in argument line should be > 3 to prevent side effects!\n"); FOREACHTRIANGLE(tHlp, nHlp) { UNMARK_BIT(tHlp,2); } // ensure mask bit 2 is zero; otherwise side effects can occur (e.g. when BBoxMarkBit is also 2) this->forceNormalConsistence(); // uses mark bit 2, and sets mark bit 2 to 0 as last step di_cell *c = new di_cell(this), *c2, *tmp; List todo(c), cells, tmptl; // keep only triangles of the two components while(t = (Triangle*) c->triangles.popHead()) if(t->mask & (1<triangles.joinTailList(&tmptl); int ncells = 0; int ret = 0; // get smallest cells containing at least both shells while (c = (di_cell *)todo.popHead()) { if (ncells > 10*DI_MAX_NUMBER_OF_CELLS || c->triangles.numels() <= 100) cells.appendHead(c); else { JMesh::report_progress(NULL); tmp = new di_cell(*c); c2 = c->fork(); if (!c->containsBothShells(componentMarkBit1, componentMarkBit2) || !c2->containsBothShells(componentMarkBit1, componentMarkBit2)) { delete(c); delete(c2); cells.appendHead(tmp); } else { ncells++; todo.appendTail(c); todo.appendTail(c2); delete(tmp); } } } JMesh::report_progress(""); // if no intersections, then all triangles int nintersections = this->selectIntersectingTriangles(); std::set vertices1, vertices2; short outsideMarkBit = 0; // get first unused bit unsigned char mask = 1<triangles), t, n) { bool comp1 = IS_BIT(t, componentMarkBit1); vt = t->v1(); if(!comp1) vertices2.insert(vt); else if(!(vt->mask & decidedMask)) vertices1.insert(vt); vt = t->v2(); if(!comp1) vertices2.insert(vt); else if(!(vt->mask & decidedMask)) vertices1.insert(vt); vt = t->v3(); if(!comp1) vertices2.insert(vt); else if(!(vt->mask & decidedMask)) vertices1.insert(vt); } // decide for each vertex whether inside or outside for(std::set::const_iterator i = vertices1.begin(); i != vertices1.end(); ++i) { Vertex *v = *i, *w, *closest; // search for yet undecided (unmarked) connected regions if(!(v->mask & decidedMask)) { // get closest vertex of the other component double d, dmin = DBL_MAX; for(std::set::const_iterator j = vertices2.begin(); j != vertices2.end(); ++j) { w = *j; if(!IS_VISITED(w)) { MARK_VISIT(w); d = v->squaredDistance(w); if(d < dmin) { dmin = d; closest = w; } } } for(std::set::const_iterator j = vertices2.begin(); j != vertices2.end(); ++j) UNMARK_VISIT(*j); if(dmin == DBL_MAX) { /*v->printPoint(); */continue; } // get the mean normal at the closest vertex Point trianglesNormal = ((Triangle *) closest->VT()->head()->data)->getNormal(); Point meanNormal = closest->getNormal(); // decide whether it is inside or outside (using the mean normal plane) bool isInside = meanNormal.squaredLength() ? meanNormal*(*v - *closest) < 0 : false; bool isInside2 = trianglesNormal.squaredLength() ? trianglesNormal*(*v - *closest) < 0 : false; // if the normals are too different, the test results differ too if(isInside != isInside2) continue; // skip in that case // find an unselected triangle of having vertex v List *l = v->VT(); while(t = (Triangle*) l->popHead()) if(!IS_VISITED(t)) { todo.appendHead(t); break; }; delete(l); if(!todo.numels()) continue; // no unselected triangle in neighborhood // spread the decision to all connected triangles, stop at selected triangles (== intersections) short markbit = isInside ? insideMarkBit : outsideMarkBit; while(t = (Triangle*) todo.popHead()) { MARK_BIT(t, markbit); MARK_BIT(t->v1(), markbit); MARK_BIT(t->v2(), markbit); MARK_BIT(t->v3(), markbit); Triangle *t1 = t->t1(), *t2 = t->t2(), *t3 = t->t3(); // stop at selected triangles (== markbit 0 == intersections) if(t1 && !(t1->mask & (decidedMask | 1<<0))) todo.appendHead(t1); if(t2 && !(t2->mask & (decidedMask | 1<<0))) todo.appendHead(t2); if(t3 && !(t3->mask & (decidedMask | 1<<0))) todo.appendHead(t3); } } } delete(c); vertices1.clear(); } // determine the BBox of all triangles with componentMarkBit2 BBoxMax.x = -DBL_MAX, BBoxMin.x = DBL_MAX; BBoxMax.y = -DBL_MAX, BBoxMin.y = DBL_MAX; BBoxMax.z = -DBL_MAX, BBoxMin.z = DBL_MAX; FOREACHTRIANGLE(tHlp, nHlp) { TCtr = tHlp->getCenter(); if (tHlp->mask & 1< BBoxMax.x) BBoxMax.x = TCtr.x; if (TCtr.y > BBoxMax.y) BBoxMax.y = TCtr.y; if (TCtr.z > BBoxMax.z) BBoxMax.z = TCtr.z; } } //JMesh::info("markTrianglesInsideComponent: BBoxMin %f %f %f; BBoxMax %f %f %f\n", // BBoxMin.x,BBoxMin.y,BBoxMin.z,BBoxMax.x,BBoxMax.y,BBoxMax.z); // set BBoxMarkBit for all triangles with componentMarkBit1 & being outside the BBox FOREACHTRIANGLE(tHlp, nHlp) { if (IS_BIT(tHlp, componentMarkBit1)) { TCtr = tHlp->getCenter(); if ((TCtr.x < BBoxMin.x)||(TCtr.y < BBoxMin.y)||(TCtr.z < BBoxMin.z)|| (TCtr.x > BBoxMax.x)||(TCtr.y > BBoxMax.y)||(TCtr.z > BBoxMax.z)) { MARK_BIT(tHlp, BBoxMarkBit); } } } // clear BBoxVisitBit FOREACHTRIANGLE(tHlp, nHlp) { UNMARK_BIT(tHlp, BBoxVisitBit);}; List todoBB; // mark bit 0 = intersection! // find an unvisited triangle (i.e. not on intersection) with BBoxMarkBit set nHlp = T.head(); t0 = NULL; while(nHlp) { tHlp = (Triangle *)nHlp->data; if(IS_BIT(tHlp,BBoxMarkBit)&&!IS_BIT(tHlp,BBoxVisitBit)&&!IS_VISITED(tHlp)) { t0 = tHlp; break; }; nHlp = nHlp->next(); }; // spread BBoxVisitBit across all connected triangles while(t0) { todoBB.appendHead(t0); int ns = 0; while (todoBB.numels()) { tHlp = (Triangle *) todoBB.popHead(); if (!IS_BIT(tHlp,BBoxVisitBit)) { t1 = tHlp->t1(); t2 = tHlp->t2(); t3 = tHlp->t3(); if (t1 != NULL && !IS_BIT(t1,BBoxVisitBit) &&!IS_VISITED(t1) ) todoBB.appendHead(t1); if (t2 != NULL && !IS_BIT(t2,BBoxVisitBit) &&!IS_VISITED(t2) ) todoBB.appendHead(t2); if (t3 != NULL && !IS_BIT(t3,BBoxVisitBit) &&!IS_VISITED(t3) ) todoBB.appendHead(t3); MARK_BIT(tHlp,BBoxVisitBit); ns++; } } // test whether triangles exist with BBoxMarkBit set, but not visited yet (BBoxVisitBit not set) nHlp = T.head(); t0 = NULL; while(nHlp) { tHlp = (Triangle *)nHlp->data; if(IS_BIT(tHlp,BBoxMarkBit)&&!IS_BIT(tHlp,BBoxVisitBit)&&!IS_VISITED(tHlp)) { t0 = tHlp; break; }; nHlp = nHlp->next(); }; } counter = 0; FOREACHTRIANGLE(tHlp, nHlp) if (IS_BIT(tHlp, BBoxMarkBit) && !IS_BIT(tHlp, BBoxVisitBit)) counter++; if (counter) JMesh::info("BBox algorithm: %d triangles with BBoxMarkBit, but not with BBoxVisitBit set!\n",counter); // all triangles with BBoxVisitBit set are outside counter = 0; FOREACHTRIANGLE(tHlp, nHlp) { if (IS_BIT(tHlp, BBoxVisitBit)) { if (IS_BIT(tHlp, insideMarkBit)) counter++; MARK_BIT(tHlp, outsideMarkBit); UNMARK_BIT(tHlp, insideMarkBit); } } if (counter) JMesh::warning("BBox algorithm corrected %d triangles.\n",counter); // code intersection triangles as inside triangles (unless treatIntersectionsAsOutside is true) JMesh::report_progress(""); FOREACHTRIANGLE(t, n) { if(IS_BIT(t, componentMarkBit1)) { if(IS_VISITED(t) || IS_BIT(t, insideMarkBit)) { if(treatIntersectionsAsOutside) { if(IS_VISITED(t)&&!IS_BIT(t, insideMarkBit)) MARK_BIT(t, outsideMarkBit); else ret++; } else { MARK_BIT(t, insideMarkBit); ret++; } UNMARK_VISIT(t); } else UNMARK_BIT(t, outsideMarkBit); t->v1()->mask = 0; t->v2()->mask = 0; t->v3()->mask = 0; } else UNMARK_VISIT(t); } JMesh::info("Number of triangles inside: %d\n", ret); return ret; } int ExtTriMesh::moveTooCloseVerticesOutwards(double minAllowedDistance, short componentMarkBit1, short componentMarkBit2) { di_cell *c = new di_cell(this), *c2; Triangle *t, *t2; Node *n, *m; List todo(c), cells, tmptl; // keep only triangles of the two components while(t = (Triangle*) c->triangles.popHead()) if(t->mask & (1<triangles.joinTailList(&tmptl); int ncells = 0; int ret = 0; // cellsize = sqrt(d^2+d^2+d^2) = sqrt(3*d^3) double cellsize2 = 4*3*minAllowedDistance*minAllowedDistance; // get smallest cells containing at least both shells while (c = (di_cell *)todo.popHead()) { JMesh::report_progress(NULL); if (ncells > DI_MAX_NUMBER_OF_CELLS || c->triangles.numels() <= 10 || (c->Mp-c->mp).squaredLength() < cellsize2 ) cells.appendHead(c); else { ncells++; JMesh::report_progress(NULL); c2 = c->fork(); if (c->containsBothShells(componentMarkBit1, componentMarkBit2)) todo.appendTail(c); else delete(c); if (c2->containsBothShells(componentMarkBit1, componentMarkBit2)) todo.appendTail(c2); else delete(c2); } } double minAllowedDistance2 = minAllowedDistance*minAllowedDistance; std::set vertices; std::map shift; std::map minDist2; Vertex *v; FOREACHVERTEX(v, n) { minDist2[v] = minAllowedDistance2; shift[v] = Point(); } while(c = (di_cell*) cells.popHead()) { vertices.clear(); JMesh::report_progress(NULL); FOREACHVTTRIANGLE((&c->triangles), t, n) if(IS_BIT(t, componentMarkBit1)) { vertices.insert(t->v1()); vertices.insert(t->v2()); vertices.insert(t->v3()); } while(t = (Triangle*) c->triangles.popHead()) if(IS_BIT(t, componentMarkBit2)) { for(std::set::iterator i = vertices.begin(); i != vertices.end(); ++i) { double dist2 = t->pointTriangleSquaredDistance(*i); if (dist2 < minDist2[*i]) { minDist2[*i] = dist2; MARK_VISIT(*i); } } } delete(c); } FOREACHVERTEX(v, n) if(IS_VISITED(v)) { List *vtl = v->VT(); FOREACHVTTRIANGLE(vtl, t2, m) shift[v] += t2->getNormal(); shift[v] /= vtl->numels(); delete(vtl); } FOREACHVERTEX(v, n) if(IS_VISITED(v)) { ret++; *v += shift[v]*MAX((minAllowedDistance-sqrt(minDist2[v])), MAX(0.1*minAllowedDistance, 1)); UNMARK_VISIT(v); } JMesh::report_progress(""); JMesh::info("Number of too close vertices: %d\n", ret); return ret; } void ExtTriMesh::dilate(double d) { if(d == 0.0) return; Vertex *v; Node *n, *m; Triangle *t; std::map shift; int nsteps = MAX((int) d,1); double step = d/(double)nsteps; for(int i = 0; i < nsteps; i++) { FOREACHVERTEX(v, n) { shift[v] = Point(); List *vtl = v->VT(); FOREACHVTTRIANGLE(vtl, t, m) shift[v] += t->getNormal(); shift[v] /= vtl->numels()/step; delete(vtl); } FOREACHVERTEX(v, n) *v += shift[v]; this->clean(); } } // ensure a minimal distance between surfaces // when the same surface is given as to-be-adjusted and constant shell // then a minimal distance between close-by surface parts is ensured // A.T. int ExtTriMesh::fineTune (double dist, int nsteps, bool secondIn) { double shiftDist = dist/((double) nsteps); // in [mm] ExtTriMesh *shellToAdjust, *constantShell; Vertex *v; Node *n, *m; Triangle *t; short constantBit = 4, adjustBit = 5, markBit=6; int i, j , k, maskHlp, toAdjustTriangleNumber = 0, nTriOverall; double direction = 1.0; double dirConstSh = 1.0; JMesh::info("Minimal distance: %f; substeps: %d\n",dist,nsteps); if (secondIn) { JMesh::info("Pushing second component inside\n"); dirConstSh = -1.0; } bool treatFirstAsInner = true; if (treatFirstAsInner) { JMesh::info("Pushing first component inside\n"); direction = -1.0; } this->deselectTriangles(); if(this->shells() != 2) JMesh::error("Must have exactly 2 components.\n"); shellToAdjust = (ExtTriMesh*) this->extractFirstShell(); constantShell = (ExtTriMesh*) this->extractFirstShell(); nTriOverall = shellToAdjust->T.numels(); this->joinTailTriangulation(shellToAdjust); this->selectAllTriangles(adjustBit); // mark component to adjust FOREACHVERTEX(v, n) MARK_BIT(v, adjustBit); delete(shellToAdjust); constantShell->selectAllTriangles(constantBit); // mark constant component FOREACHVVVERTEX((&(constantShell->V)), v, n) MARK_BIT(v, constantBit); this->joinHeadTriangulation(constantShell); delete(constantShell); char *t_mask = new char [T.numels()]; j=0; FOREACHTRIANGLE(t, n) t_mask[j++] = 0; std::map shift; for(i=0; iVT(); FOREACHVTTRIANGLE(vtl, t, m) shift[v] += t->getNormal(); shift[v] /= (dirConstSh/shiftDist)*vtl->numels(); delete(vtl); } FOREACHVERTEX(v, n) if (IS_BIT(v, constantBit)) *v += shift[v]; FOREACHTRIANGLE(t, n) { UNMARK_BIT(t, 0); UNMARK_BIT(t, 1); UNMARK_BIT(t, 2); UNMARK_BIT(t, 3); UNMARK_BIT(t, markBit); } unsigned nt = this->markTrianglesInsideComponent(markBit, adjustBit, constantBit, treatFirstAsInner); if (treatFirstAsInner) { j=0; k=0; FOREACHTRIANGLE(t, n) { if (!IS_BIT(t,markBit) && IS_BIT(t,adjustBit) && t_mask[j] == 0) { k++; }; j++; }; if (k > 0.9*nTriOverall) { JMesh::warning("%d of %d triangles would be marked: probably too many; skipping iteration\n",k,nTriOverall); continue; } j=0; k=0; FOREACHTRIANGLE(t, n) { if (!IS_BIT(t,markBit) && IS_BIT(t,adjustBit) && t_mask[j] == 0) { t_mask[j] = (char) i+1; k++; }; j++; }; JMesh::info("%d triangles marked\n",k); } else { j=0; k=0; FOREACHTRIANGLE(t, n) { if (IS_BIT(t,markBit) && IS_BIT(t,adjustBit) && t_mask[j] == 0) { k++; }; j++; }; if (k > 0.9*nTriOverall) { JMesh::warning("%d of %d triangles would be marked: probably too many; skipping iteration\n",k,nTriOverall); continue; } j=0; k=0; FOREACHTRIANGLE(t, n) { if (IS_BIT(t,markBit) && IS_BIT(t,adjustBit) && t_mask[j] == 0) { t_mask[j] = (char) i+1; k++; }; j++; }; JMesh::info("%d triangles marked\n",k); } } j=0; FOREACHTRIANGLE(t, n) { if (IS_BIT(t,adjustBit) && t_mask[j]>0) { t->mask = t_mask[j]; toAdjustTriangleNumber++; } else { t->mask = 0; }; j++; }; JMesh::info("%d triangles will be adjusted\n",toAdjustTriangleNumber); constantShell = (ExtTriMesh*) this->extractFirstShell(); FOREACHVERTEX(v, n) { shift[v] = Point(); List *vtl = v->VT(); maskHlp = nsteps+1; FOREACHVTTRIANGLE(vtl, t, m) { shift[v] += t->getNormal(); if (t->mask>0 && t->maskmask; } shift[v] /= vtl->numels(); if (maskHlp>nsteps) shift[v] *= 0.0; else shift[v] *= direction*((double) (nsteps+1-maskHlp))*shiftDist; delete(vtl); } FOREACHVERTEX(v, n) *v += shift[v]; delete [] t_mask; return toAdjustTriangleNumber; } octave-iso2mesh-1.9.6+ds/meshfix/src/detectIntersections.cpp0000644001356000007640000002666113673436411023120 0ustar fangqadmin/**************************************************************************** * JMeshExt * * * * Consiglio Nazionale delle Ricerche * * Istituto di Matematica Applicata e Tecnologie Informatiche * * Sezione di Genova * * IMATI-GE / CNR * * * * Authors: Marco Attene * * * * Copyright(C) 2006: IMATI-GE / CNR * * * * All rights reserved. * * * * This program is free software; you can redistribute it and/or modify * * it under the terms of the GNU General Public License as published by * * the Free Software Foundation; either version 2 of the License, or * * (at your option) any later version. * * * * This program is distributed in the hope that it will be useful, * * but WITHOUT ANY WARRANTY; without even the implied warranty of * * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * * GNU General Public License (http://www.gnu.org/licenses/gpl.txt) * * for more details. * * * ****************************************************************************/ #include "detectIntersections.h" #include #include #include "jqsort.h" #include "jrs_predicates.h" inline double di_remeshOrient3D(Point *p1, Point *p2, Point *p3, Point *p4) { return orient3d((double *)(p1), (double *)(p2), (double *)(p3), (double *)(p4)); } /////////// Check for coplanar edge-triangles !!!!! // Intersection point between two edges. // Edges are assumed to intersect properly. Point *edgeEdgeIntersection(Edge *a, Edge *b) { Edge *e1, *e2; if (lexEdgeCompare(a, b)>0) {e1=a; e2=b;} else {e1=b; e2=a;} double d1 = (((*(e1->v2))-(*(e2->v2)))&((*(e1->v1))-(*(e2->v2)))).length(); double d2 = (((*(e1->v2))-(*(e2->v1)))&((*(e1->v1))-(*(e2->v1)))).length(); static Point p; p = (((*(e2->v1))*d1)+((*(e2->v2))*d2))/(d1+d2); return &p; } // Intersection point between 'e' and 't'. // Returns NULL if e does not intersect t or if e and t are coplanar. Point *edgeIntersectsTriangle(Edge *e, Triangle *t, Edge **te) { if (t->hasEdge(e)) return NULL; Vertex *v1=t->v1(), *v2=t->v2(), *v3=t->v3(), *v4, *v0; Vertex *pv0, *nv0; static Point p, p1, p2; static bool jrs_toinit=1; if (jrs_toinit) {exactinit(); jrs_toinit=0;} if (t->hasVertex(e->v1) || t->hasVertex(e->v2)) { if (t->hasVertex(e->v1)) {v0 = e->v1; v4 = e->v2;} else if (t->hasVertex(e->v2)) {v0 = e->v2; v4 = e->v1;} if (di_remeshOrient3D((v1), (v2), (v3), (v4))==0.0) { pv0 = (t->prevVertex(v0)); nv0 = (t->nextVertex(v0)); p = (*v4)-(*v0); p1 = ((*pv0)-(*v4)); p2 = ((*nv0)-(*v4)); if (((p1&p)*(p2&p))>0.0) return NULL; p = (*pv0)-(*nv0); p2 = (*pv0)-(*v0); if (((p1&p)*(p2&p))>0.0) return NULL; return edgeEdgeIntersection(e, t->oppositeEdge(v0)); } else return NULL; } (*te)=NULL; double d1 = di_remeshOrient3D((v1), (v2), (v3), ((e->v1))); double d2 = di_remeshOrient3D((v1), (v2), (v3), ((e->v2))); if (d1 == 0 && d2 == 0) return NULL; if ((d1 > 0 && d2 > 0) || (d1 < 0 && d2 < 0)) return NULL; double e2 = di_remeshOrient3D((v1), (v2), ((e->v1)), ((e->v2))); double e3 = di_remeshOrient3D((v2), (v3), ((e->v1)), ((e->v2))); double e1 = di_remeshOrient3D((v3), (v1), ((e->v1)), ((e->v2))); if (e1==0 && e2==0 && e3==0) return NULL; if ((e1 >= 0 && e2 >= 0 && e3 >= 0) || (e1 <= 0 && e2 <= 0 && e3 <= 0)) { if (d1==0) return e->v1; if (d2==0) return e->v2; if (e1==0 && e2==0) return v1; if (e2==0 && e3==0) return v2; if (e3==0 && e1==0) return v3; // Edge-edge intersection must be exactly commutative (maybe sorting edges lexycographically) if (e1==0) {(*te)=t->e1; return edgeEdgeIntersection(e, t->e1);} if (e2==0) {(*te)=t->e2; return edgeEdgeIntersection(e, t->e2);} if (e3==0) {(*te)=t->e3; return edgeEdgeIntersection(e, t->e3);} d1 = FABS(d1); d2 = FABS(d2); p = (((*(e->v2))*d1)+((*(e->v1))*d2))/(d1+d2); return &p; } return NULL; } di_cell::di_cell(Triangulation *tin, bool useAll) { Node *n; Vertex *v; Triangle *t; Mp.x = -DBL_MAX, mp.x = DBL_MAX; Mp.y = -DBL_MAX, mp.y = DBL_MAX; Mp.z = -DBL_MAX, mp.z = DBL_MAX; FOREACHVVVERTEX((&(tin->V)), v, n) if (useAll || IS_VISITED(v)) { if (v->x < mp.x) mp.x = v->x; if (v->x > Mp.x) Mp.x = v->x; if (v->y < mp.y) mp.y = v->y; if (v->y > Mp.y) Mp.y = v->y; if (v->z < mp.z) mp.z = v->z; if (v->z > Mp.z) Mp.z = v->z; } mp -= DI_EPSILON_POINT; Mp += DI_EPSILON_POINT; FOREACHVTTRIANGLE((&(tin->T)), t, n) if (useAll || IS_VISITED(t)) triangles.appendTail(t); } bool di_cell::is_triangleBB_in_cell(Triangle *t) { Vertex *v1 = t->v1(), *v2 = t->v2(), *v3 = t->v3(); double mx = MIN(v1->x, MIN(v2->x, v3->x)); double Mx = MAX(v1->x, MAX(v2->x, v3->x)); double my = MIN(v1->y, MIN(v2->y, v3->y)); double My = MAX(v1->y, MAX(v2->y, v3->y)); double mz = MIN(v1->z, MIN(v2->z, v3->z)); double Mz = MAX(v1->z, MAX(v2->z, v3->z)); return (mx <= Mp.x && Mx >= mp.x && my <= Mp.y && My >= mp.y && mz <= Mp.z && Mz >= mp.z); } di_cell *di_cell::fork() { Triangle *t; Point e = Mp-mp; di_cell *nc = new di_cell; List tmp; nc->mp = mp; nc->Mp = Mp; if (e.x > e.y && e.x > e.z) {nc->Mp.x -= (e.x/2); mp.x += (e.x/2);} else if (e.y > e.x && e.y > e.z) {nc->Mp.y -= (e.y/2); mp.y += (e.y/2);} else {nc->Mp.z -= (e.z/2); mp.z += (e.z/2);} while ((t=(Triangle *)triangles.popHead()) != NULL) { if (is_triangleBB_in_cell(t)) tmp.appendHead(t); if (nc->is_triangleBB_in_cell(t)) nc->triangles.appendHead(t); } triangles.joinTailList(&tmp); return nc; } // Returns TRUE if the cell does not contain self intersections for sure. // Sufficient conditions to state this are (TO VERIFY): // 1) All the triangles within the cell belong to the same connected component // 2) There are no boundary edges // 3) All the normals dot-multiply positively with the average normal bool di_cell::doesNotIntersectForSure() { Triangle *t, *s; Node *n; Point anor; int ns = 0; List tec; FOREACHVTTRIANGLE((&triangles), t, n) MARK_BIT(t, 3); FOREACHVTTRIANGLE((&triangles), t, n) if (!IS_VISITED2(t)) { ns++; if (ns>1) break; tec.appendHead(t); MARK_VISIT2(t); while ((t=(Triangle *)tec.popHead()) != NULL) { s = t->t1(); if (s != NULL && IS_BIT(s, 3) && !IS_VISITED2(s)) {tec.appendTail(s); MARK_VISIT2(s);} s = t->t2(); if (s != NULL && IS_BIT(s, 3) && !IS_VISITED2(s)) {tec.appendTail(s); MARK_VISIT2(s);} s = t->t3(); if (s != NULL && IS_BIT(s, 3) && !IS_VISITED2(s)) {tec.appendTail(s); MARK_VISIT2(s);} } } FOREACHVTTRIANGLE((&triangles), t, n) {UNMARK_VISIT2(t); UNMARK_BIT(t, 3);} if (ns>1) return 0; FOREACHVTTRIANGLE((&triangles), t, n) { if (t->e1->isOnBoundary() || t->e2->isOnBoundary() || t->e3->isOnBoundary()) return 0; anor += DI_STORED_NORMAL(t); } FOREACHVTTRIANGLE((&triangles), t, n) if (anor*DI_STORED_NORMAL(t) <= 0) return 0; return 1; } // Brute force all-with-all intersection test of the triangles in 'triangles'. void di_cell::di_selectIntersections() { Triangle *t, *y; Edge *e, *te; Node *n, *m; List edges; FOREACHVTTRIANGLE((&triangles), t, n) MARK_VISIT2(t); FOREACHVTTRIANGLE((&triangles), t, n) { e = t->e1; y = t->t1(); if (!IS_VISITED2(e) && ((y!=NULL && IS_VISITED2(y)) || y==NULL)) {MARK_VISIT2(e); edges.appendHead(e);} e = t->e2; y = t->t2(); if (!IS_VISITED2(e) && ((y!=NULL && IS_VISITED2(y)) || y==NULL)) {MARK_VISIT2(e); edges.appendHead(e);} e = t->e3; y = t->t3(); if (!IS_VISITED2(e) && ((y!=NULL && IS_VISITED2(y)) || y==NULL)) {MARK_VISIT2(e); edges.appendHead(e);} } FOREACHVTTRIANGLE((&triangles), t, n) UNMARK_VISIT2(t); FOREACHVEEDGE((&edges), e, n) UNMARK_VISIT2(e); FOREACHVTTRIANGLE((&triangles), t, n) FOREACHVEEDGE((&edges), e, m) if (edgeIntersectsTriangle(e, t, &te)) { MARK_VISIT(t); if (e->t1 != NULL) MARK_VISIT(e->t1); if (e->t2 != NULL) MARK_VISIT(e->t2); } } // Function to detect close triangles bool di_cell::containsBothShells(short markBitShell1, short markBitShell2) { Triangle *t; Node *n; char found = 0, mask = (1<mask & mask)) == mask ) return true; return false; } ///////////////////////////////////////////////////////////////////////// // || ////////////////////// Select Intersections /////////////////////////// // || ///////////////////////////////////////////////////////////////////////// int ExtTriMesh::selectIntersectingTriangles(UINT16 tris_per_cell) { Triangle *t; Vertex *v; Node *n; bool isSelection=0; List *selT = new List, *selV = new List; JMesh::begin_progress(); JMesh::report_progress(NULL); FOREACHTRIANGLE(t, n) if (IS_VISITED(t)) { isSelection=1; selT->appendTail(t); v=t->v1(); if (!IS_VISITED(v)) {MARK_VISIT(v); selV->appendTail(v);} v=t->v2(); if (!IS_VISITED(v)) {MARK_VISIT(v); selV->appendTail(v);} v=t->v3(); if (!IS_VISITED(v)) {MARK_VISIT(v); selV->appendTail(v);} } JMesh::report_progress(NULL); if (!isSelection) {delete(selT); delete(selV); selT=&T; selV=&V;} // Store triangle normal in each triangle's info field FOREACHVTTRIANGLE(selT, t, n) DI_STORED_PANORMAL(t) = new Point(t->getNormal()); di_cell *c2, *c = new di_cell(this, !isSelection); List cells, todo(c); int i=0; while ((c = (di_cell *)todo.popHead()) != NULL) { if (i>DI_MAX_NUMBER_OF_CELLS || c->triangles.numels() <= tris_per_cell) cells.appendHead(c); else { i++; JMesh::report_progress(NULL); c2 = c->fork(); if (c->doesNotIntersectForSure()) delete(c); else todo.appendTail(c); if (c2->doesNotIntersectForSure()) delete(c2); else todo.appendTail(c2); } } // Deselect everything and select only intersecting triangles deselectTriangles(); i=0; FOREACHNODE(cells, n) { (((di_cell *)n->data)->di_selectIntersections()); JMesh::report_progress("Selecting intersections ... %d %%",((i++)*100)/cells.numels()); } JMesh::report_progress(""); JMesh::end_progress(false); // Dispose memory allocated for cells while (cells.numels()) delete((di_cell *)cells.popHead()); // Count selected triangles for final report and delete stored normals int its=0; FOREACHVTTRIANGLE(selT, t, n) {delete(DI_STORED_PNORMAL(t)); t->info = NULL; if (IS_VISITED(t)) its++;} if (its) JMesh::info("%d intersecting triangles have been selected%s.\n",its, isSelection?" (in selection)":""); else JMesh::info("No intersecting triangles detected%s.\n", isSelection?" (in selection)":""); FOREACHVVVERTEX(selV, v, n) UNMARK_VISIT(v); if (isSelection) {delete(selT); delete(selV);} return its; } octave-iso2mesh-1.9.6+ds/meshfix/src/simplification.cpp0000755001356000007640000004165013673436411022106 0ustar fangqadmin/**************************************************************************** * JMeshExt * * * * Consiglio Nazionale delle Ricerche * * Istituto di Matematica Applicata e Tecnologie Informatiche * * Sezione di Genova * * IMATI-GE / CNR * * * * Authors: Marco Attene * * * * Copyright(C) 2006: IMATI-GE / CNR * * * * All rights reserved. * * * * This program is free software; you can redistribute it and/or modify * * it under the terms of the GNU General Public License as published by * * the Free Software Foundation; either version 2 of the License, or * * (at your option) any later version. * * * * This program is distributed in the hope that it will be useful, * * but WITHOUT ANY WARRANTY; without even the implied warranty of * * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * * GNU General Public License (http://www.gnu.org/licenses/gpl.txt) * * for more details. * * * ****************************************************************************/ #include "simplification.h" #include // Macro to extract and cast the QEM from a vertex #define GET_VERTEX_QEM(v) ((*((Q_matrix *)(v)->info))) //////////////////////////////////////////////////////////// // // Implementation of the class Q_matrix // //////////////////////////////////////////////////////////// // Allocation of static class members char Q_matrix::use_check_collapse; char Q_matrix::fast_check_collapse; char Q_matrix::compute_optimal_point; char EC_Cost::which_cost_function; // Constructor of the initial Quadric Error Matrix. // Add a plane equation for each of the incident triangles. Q_matrix::Q_matrix(Vertex *v) { a2=ab=ac=ad=b2=bc=bd=c2=cd=d2=0; Triangle *t; Node *n; List *vt = v->VT(); FOREACHVTTRIANGLE(vt, t, n) addPlane(t); delete(vt); } // Add a triangle plane equation to the matrix. void Q_matrix::addPlane(Triangle *t) { Point abc = t->getNormal(); add(abc.x, abc.y, abc.z, -(abc*(*t->v1()))); } // Returns the optimal position within a quadric Point Q_matrix::getOptimalPoint(Edge *e) { if (IS_VISITED(e->v1)) return (*(e->v1)); // Check for sharp vertices if (IS_VISITED(e->v2)) return (*(e->v2)); Point n; if (getMinimizer(&(n.x), &(n.y), &(n.z))) return n; // If not invertible, choose the best among mid, v1 and v2 return bestAmongMidAndEndpoints(e); } // Computes the errors at the edge midpoint and at the two end-points. // The point associated to the minimum error is returned. Point Q_matrix::bestAmongMidAndEndpoints(Edge *e) { if (IS_VISITED(e->v1)) return (*(e->v1)); // Check for sharp vertices if (IS_VISITED(e->v2)) return (*(e->v2)); Point mp = e->getMidPoint(); // Get Edge Midpoint double erm = getError(&mp, e); // Error at midpoint double er1 = getError(e->v1, e); // Error at v1 double er2 = getError(e->v2, e); // Error at v2 if (erm <= er1 && erm <= er2) return mp; if (er1 <= erm && er1 <= er2) return (*(e->v1)); return (*(e->v2)); } // Checks wether the collapse inverts one or more face normals. // If so, 0 is returned. Otherwise returns 1 and the collapse // can take place safely. int Q_matrix::checkCollapse(Edge *e, Point *p) { List *vt; Node *n; Triangle *t; Vertex *v; Point nb, na, fb; Edge *f, *f2; double x,y,z; if (fast_check_collapse) { for (v=e->v1; ; v=e->v2) // For each of the end-points v1 and v2 { vt=v->VT(); // Compute the incident triangles FOREACHVTTRIANGLE(vt, t, n) // For each incident triangle if (t != e->t1 && t != e->t2) // not incident to 'e' { f = t->oppositeEdge(v); fb = f->toVector(); f2 = t->prevEdge(f); nb = fb&f2->toVector(); // compute a vector orth. to the triangle x=v->x; y=v->y; z=v->z; // store the coordinates of the end-point v->setValue(p); // Simulate collapse (move the end-point) na = fb&f2->toVector(); // compute an orth. vector again v->x=x; v->y=y; v->z=z; // restore the original end-point coords if (nb*na <= 0) {delete(vt); return 0;} // Check for inversion } delete(vt); if (v==e->v2) break; } } else // Slow version. Checks wether the resulting triangles become degenerate { for (v=e->v1; ; v=e->v2) { vt=v->VT(); x=v->x; y=v->y; z=v->z; v->setValue(p); FOREACHVTTRIANGLE(vt, t, n) if (t != e->t1 && t != e->t2) { if (t->isDegenerate() || t->overlaps()) {v->x=x; v->y=y; v->z=z; delete(vt); return 0;} } v->x=x; v->y=y; v->z=z; delete(vt); if (v==e->v2) break; } } return 1; // No inversions have been detected } // Computes the error of the quadric at a point 'v'. // If the collapse would produce an inversion, the // error is assigned an infinite value. double Q_matrix::getError(Point *v, Edge *e) { if (use_check_collapse && !checkCollapse(e, v)) return DBL_MAX; double a,b,c,d; a = v->x*a2 + v->y*ab + v->z*ac + ad; b = v->x*ab + v->y*b2 + v->z*bc + bd; c = v->x*ac + v->y*bc + v->z*c2 + cd; d = v->x*ad + v->y*bd + v->z*cd + d2; return (v->x*a + v->y*b + v->z*c + d); } //////////////////////////////////////////////////////////// // // Functions that compute costs and point positions // //////////////////////////////////////////////////////////// ////////////// According to the QEMs /////////////////////// // Returns the cost of contracting the edge 'e'. double quaderr_costFunction(Edge *e) { Q_matrix qs = GET_VERTEX_QEM(e->v1)+GET_VERTEX_QEM(e->v2); Point vm = (qs.compute_optimal_point)?(qs.getOptimalPoint(e)):(qs.bestAmongMidAndEndpoints(e)); return qs.getError(&vm,e); } // Returns the optimal point representing a contraction. // Computes the actual 'optimum' only if the static member // 'compute_optimal_point' is set within the current state. Point quaderr_optimalPoint(Edge *e) { Q_matrix qs = GET_VERTEX_QEM(e->v1)+GET_VERTEX_QEM(e->v2); return (qs.compute_optimal_point)?(qs.getOptimalPoint(e)):(qs.bestAmongMidAndEndpoints(e)); } ////////////// According to the edge lengths //////////////// Point edgelen_optimalPoint(Edge *e) { if (IS_VISITED(e->v1) && !IS_VISITED(e->v2)) return (*(e->v1)); if (IS_VISITED(e->v2) && !IS_VISITED(e->v1)) return (*(e->v2)); if (IS_VISITED2(e->v1) && !IS_VISITED2(e->v2)) return (*(e->v1)); if (IS_VISITED2(e->v2) && !IS_VISITED2(e->v1)) return (*(e->v2)); return e->getMidPoint(); } double edgelen_costFunction(Edge *e) { if (IS_VISITED(e->v1) && IS_VISITED(e->v2) && !IS_SHARPEDGE(e)) return DBL_MAX; if (IS_VISITED2(e->v1) && IS_VISITED2(e->v2)) return DBL_MAX; List *vv; Node *n; Vertex *v; double len=0.0; vv = e->v1->VV(); FOREACHVVVERTEX(vv, v, n) len += (((*v)-(*(e->v1)))*((*v)-(*(e->v1)))); delete(vv); vv = e->v2->VV(); FOREACHVVVERTEX(vv, v, n) len += (((*v)-(*(e->v2)))*((*v)-(*(e->v2)))); delete(vv); return len; } //////////////////////////////////////////////////////////// // // Implementation of the class EC_Cost // //////////////////////////////////////////////////////////// EC_Cost::EC_Cost(Edge *e, int ind) // Simple constructor { index = ind; if (ind >= 0) updateCost(e); } // Updates the cost using the proper cost function double EC_Cost::updateCost(Edge *e) { // Currently only tow cost functions are supported. cost = (which_cost_function)?(edgelen_costFunction(e)):(quaderr_costFunction(e)); return cost; } //////////////////////////////////////////////////////////// // // Implementation of the class edgeHeap // //////////////////////////////////////////////////////////// edgeHeap::edgeHeap(int n, Edge **edg) : abstractHeap(n) { positions = new int[n+1]; edges = edg; } edgeHeap::~edgeHeap() {delete(positions);} void edgeHeap::remove(Edge *e) { EC_Cost *ecc = ((EC_Cost *)e->info); ecc->cost = -1; int i=positions[ecc->index]; if (i) {upheap(i); removeHead();} } void edgeHeap::update(Edge *e) { EC_Cost *ecc = ((EC_Cost *)e->info); ecc->updateCost(e); if (!positions[ecc->index]) push(e); else downheap(upheap(positions[ecc->index])); } int edgeHeap::compare(const void *e1, const void *e2) { Edge *a = edges[(j_voidint)e1]; Edge *b = edges[(j_voidint)e2]; double l1 = ((EC_Cost *)a->info)->cost; double l2 = ((EC_Cost *)b->info)->cost; if (l1 < l2) return -1; if (l2 < l1) return 1; return 0; } // This functions analyses the neighborhood of a vertex. If there // are one or more than two incident sharp edges, the vertex is // marked as 'corner or deadend' and it will moved as less as // possible during the simplification. void mark_if_corner_or_deadend(Vertex *v) { Edge *e; Node *n; List *ve = v->VE(); int se=0; FOREACHVEEDGE(ve, e, n) if (IS_SHARPEDGE(e)) se++; delete(ve); if (se==1 || se > 2) MARK_VISIT2(v); } ////////////////////////////////////////////////////////////////////////////////////////// // // Main method: SIMPLIFY // // Parameters: // numver: indicates the number of vertices requested for the simplified mesh. // optimal: if set, the method uses the QEM inverse to compute optimal points. // edgelen: if set, the method sorts the edges based on their length instead of // their cost computed through the QEMs. // check: if set, each collapse inverting triangles is assigned infinite cost // if set with a value >1, then a slower check is performed, but it // guarantees that the resulting mesh has no degenerate faces // ////////////////////////////////////////////////////////////////////////////////////////// int ExtTriMesh::simplify(int numver, int optimal, int edgelen, int check) { if (numver >= V.numels()) return 0; // Check for bad input Q_matrix::use_check_collapse = check; // Activate the check_collapse Q_matrix::fast_check_collapse = (check>1)?(0):(1); // Do it fast (don't check for new degeneracies) Q_matrix::compute_optimal_point = optimal; // Activate the optimal point computation EC_Cost::which_cost_function = edgelen; // Set the function for cost computation Node *n; Vertex *v, *ov; Edge *e, *e1, *e2, *e3, *e4; List *ve; Point np; int i, nsteps = V.numels()-numver; Edge **edges = new Edge *[E.numels()]; // Edge array for queue re-indexing edgeHeap eh(E.numels(), edges); // Allocate the priority queue FOREACHVERTEX(v, n) v->info = new Q_matrix(v); // Create a QEM for each vertex // Mark creases and boundaries for particular treatment FOREACHEDGE(e, n) if (e->isOnBoundary() || IS_SHARPEDGE(e)) {MARK_VISIT(e->v1); MARK_VISIT(e->v2);} FOREACHVERTEX(v, n) if (IS_VISITED(v)) mark_if_corner_or_deadend(v); // Associate costs to edges and fill the priority queue i=0; FOREACHEDGE(e, n) {edges[i] = e; e->info = new EC_Cost(e, i++); eh.push(e);} JMesh::begin_progress(); while (!eh.isEmpty()) // Enter only if there are edges to be processed { e = eh.popHead(); // Pick the first one (which is the one with minimum cost) if (check>1 && ((EC_Cost *)e->info)->cost == DBL_MAX) { JMesh::warning("Can't simplify further due to precision requirements.\n"); break; } v = e->v1; ov = e->v2; // Store its end-point vertex pointers // Store the four edges bounding the quadrilateral defined by the two incident triangles e1 = (e->t1)?(e->t1->nextEdge(e)):(NULL); e4 = (e->t2)?(e->t2->prevEdge(e)):(NULL); e2 = (e->t1)?(e->t1->prevEdge(e)):(NULL); e3 = (e->t2)?(e->t2->nextEdge(e)):(NULL); if (!((e->t1 && e1->isOnBoundary() && e2->isOnBoundary()) || (e->t2 && e3->isOnBoundary() && e4->isOnBoundary()))) // Prevent ear-cut { // Retrieve the proper representative point for the collapse np = (edgelen)?(edgelen_optimalPoint(e)):(quaderr_optimalPoint(e)); // Try to collapse if (e->collapse(&np)) // If successful { if (IS_VISITED(ov)) MARK_VISIT(v); // Transmit possible marks to the remaining vertex if (IS_VISITED2(ov)) MARK_VISIT2(v); // Remove deleted elements from the queue and transmit edge-marks if (e1) {eh.remove(e1); if (IS_SHARPEDGE(e1)) TAG_SHARPEDGE(e2);} if (e2 && !e2->isLinked()) eh.remove(e2); if (e3 && !e3->isLinked()) eh.remove(e3); if (e4) {eh.remove(e4); if (IS_SHARPEDGE(e4)) TAG_SHARPEDGE(e3);} GET_VERTEX_QEM(v) += GET_VERTEX_QEM(ov); // Update the QEM associated to the remaining vertex ve = v->VE(); // Update the incident edges in the queue FOREACHVEEDGE(ve, e, n) eh.update(e); if (check>1) // If we want to guarantee mesh quality { FOREACHVEEDGE(ve, e, n) MARK_BIT(e, 3); List *ve2; Node *m; FOREACHVEEDGE(ve, e, n) { ve2 = e->oppositeVertex(v)->VE(); FOREACHVEEDGE(ve2, e1, m) if (!IS_BIT(e1, 3)) eh.update(e1); delete(ve2); } FOREACHVEEDGE(ve, e, n) UNMARK_BIT(e, 3); } delete(ve); JMesh::report_progress("%d%% Done ",(100*(V.numels()-numver-nsteps))/(V.numels()-numver)); if (!--nsteps) break; } } } JMesh::end_progress(); delete(edges); FOREACHVERTEX(v, n) {delete((Q_matrix *)v->info); v->info = NULL; UNMARK_VISIT(v); UNMARK_VISIT2(v);} FOREACHEDGE(e, n) {delete((EC_Cost *)e->info); e->info = NULL;} removeUnlinkedElements(); return 1; } ////////////////////////////////////////////////////////////////////////////////////////// // // Extension: MULTIPLE CHOICE APPROACH // // Parameters: // numver: indicates the number of vertices requested for the simplified mesh. // optimal: if set, the method uses the QEM inverse to compute optimal points. // numchoices: this is the number of choices from which to choose for each pick // (default = 8). // check: if set, each collapse inverting triangles is assigned infinite cost // ////////////////////////////////////////////////////////////////////////////////////////// int ExtTriMesh::multiplechoice_simplify(int numver, int optimal, int numchoices, int check) { if (numver >= V.numels()) return 0; // Check for bad input Q_matrix::use_check_collapse = check; // Activate the check_collapse Q_matrix::fast_check_collapse = 1; // Do it fast (don't check for new degeneracies) Q_matrix::compute_optimal_point = optimal; // Activate the optimal point computation EC_Cost::which_cost_function = 0; // Always use the QEMs Node *n,*m; Vertex *v, *ov; Edge *e, *e1, *e2, *e3, *e4; Point np; int i, nsteps = V.numels()-numver; double ac, mc; List *ve; FOREACHVERTEX(v, n) v->info = new Q_matrix(v); // Set a QEM for each vertex // Mark creases and boundaries for particular treatment FOREACHEDGE(e, n) if (e->isOnBoundary() || IS_SHARPEDGE(e)) {MARK_VISIT(e->v1); MARK_VISIT(e->v2);} FOREACHVERTEX(v, n) if (IS_VISITED(v)) mark_if_corner_or_deadend(v); // Assign an initial fake cost to each edge. // We pass '-1' as index because we don't want to actually compute a cost FOREACHEDGE(e, n) {e->info = new EC_Cost(e, -1); MARK_VISIT(e);} JMesh::begin_progress(); n=E.head(); do { for (i=0, mc=DBL_MAX, e=NULL; idata; if (!e1->isLinked()) { delete((EC_Cost *)e1->info); if (n->next()) {n=n->next(); E.freeCell(n->prev());} else {n=E.head(); E.freeCell(E.tail());} i--; } else { n=n->next(); if (n==NULL) n=E.head(); if (IS_VISITED(e1)) {((EC_Cost *)e1->info)->updateCost(e1); UNMARK_VISIT(e1);} if ((ac=((EC_Cost *)e1->info)->cost)<=mc) {e=e1; mc=ac;} } } v = e->v1; ov = e->v2; e1 = (e->t1)?(e->t1->nextEdge(e)):(NULL); e4 = (e->t2)?(e->t2->prevEdge(e)):(NULL); e2 = (e->t1)?(e->t1->prevEdge(e)):(NULL); e3 = (e->t2)?(e->t2->nextEdge(e)):(NULL); if (!((e->t1 && e1->isOnBoundary() && e2->isOnBoundary()) || (e->t2 && e3->isOnBoundary() && e4->isOnBoundary()))) // Prevent ear-cut { np = quaderr_optimalPoint(e); if (e->collapse(&np)) { if (IS_VISITED(ov)) MARK_VISIT(v); if (IS_VISITED2(ov)) MARK_VISIT2(v); if (e1 && IS_SHARPEDGE(e1)) TAG_SHARPEDGE(e2); if (e4 && IS_SHARPEDGE(e4)) TAG_SHARPEDGE(e3); GET_VERTEX_QEM(v) += GET_VERTEX_QEM(ov); ve = v->VE(); FOREACHVEEDGE(ve, e, m) MARK_VISIT(e); delete(ve); JMesh::report_progress("%d%% done ",(100*(V.numels()-numver-nsteps))/(V.numels()-numver)); nsteps--; } } } while (nsteps); JMesh::end_progress(); FOREACHVERTEX(v, n) {delete((Q_matrix *)v->info); v->info = NULL; UNMARK_VISIT(v); UNMARK_VISIT2(v);} FOREACHEDGE(e, n) {delete((EC_Cost *)e->info); e->info = NULL; UNMARK_VISIT(e);} removeUnlinkedElements(); return 1; } octave-iso2mesh-1.9.6+ds/meshfix/src/cleaning.cpp0000755001356000007640000002613313673436411020653 0ustar fangqadmin#include "exttrimesh.h" #include "jrs_predicates.h" // Simulates the ASCII rounding error void ExtTriMesh::asciiAlign() { char outname[2048]; Vertex *v; Node *m; float a; FOREACHVERTEX(v, m) { sprintf(outname,"%f",v->x); sscanf(outname,"%f",&a); v->x = a; sprintf(outname,"%f",v->y); sscanf(outname,"%f",&a); v->y = a; sprintf(outname,"%f",v->z); sscanf(outname,"%f",&a); v->z = a; } } // Return TRUE if the triangle is exactly degenerate inline bool isDegenerateEdge(Edge *e) { return ((*(e->v1))==(*(e->v2))); } bool isDegenerateTriangle(Triangle *t) { double xy1[2], xy2[2], xy3[2]; xy1[0] = t->v1()->x; xy1[1] = t->v1()->y; xy2[0] = t->v2()->x; xy2[1] = t->v2()->y; xy3[0] = t->v3()->x; xy3[1] = t->v3()->y; if (orient2d(xy1, xy2, xy3)!=0.0) return false; xy1[0] = t->v1()->y; xy1[1] = t->v1()->z; xy2[0] = t->v2()->y; xy2[1] = t->v2()->z; xy3[0] = t->v3()->y; xy3[1] = t->v3()->z; if (orient2d(xy1, xy2, xy3)!=0.0) return false; xy1[0] = t->v1()->z; xy1[1] = t->v1()->x; xy2[0] = t->v2()->z; xy2[1] = t->v2()->x; xy3[0] = t->v3()->z; xy3[1] = t->v3()->x; if (orient2d(xy1, xy2, xy3)!=0.0) return false; return true; } Edge *getLongestEdge(Triangle *t) { double l1 = t->e1->squaredLength(); double l2 = t->e2->squaredLength(); double l3 = t->e3->squaredLength(); if (l1>=l2 && l1>=l3) return t->e1; if (l2>=l1 && l2>=l3) return t->e2; return t->e3; } // Iterate on all the selected triangles as long as possible. // Keep the selection only on the degeneracies that could not be removed. // Return the number of degeneracies that could not be removed int ExtTriMesh::swapAndCollapse() { Node *n; Triangle *t; bool quiet = JMesh::quiet; if (epsilon_angle != 0.0) { FOREACHTRIANGLE(t, n) UNMARK_VISIT(t); JMesh::quiet = true; removeDegenerateTriangles(); JMesh::quiet = quiet; int failed = 0; FOREACHTRIANGLE(t, n) if (IS_VISITED(t)) failed++; return failed; } List triangles; Edge *e; const int MAX_ATTEMPTS = 10; FOREACHTRIANGLE(t, n) t->info=0; // VISIT2 means that the triangle is in the list FOREACHTRIANGLE(t, n) if (IS_VISITED(t)) { UNMARK_VISIT(t); if (isDegenerateTriangle(t)) {triangles.appendTail(t); MARK_VISIT2(t);} } while ((t=(Triangle *)triangles.popHead())!=NULL) { UNMARK_VISIT2(t); if (t->isLinked()) { if (isDegenerateEdge(t->e1)) t->e1->collapse(); else if (isDegenerateEdge(t->e2)) t->e2->collapse(); else if (isDegenerateEdge(t->e3)) t->e3->collapse(); else if ((e=getLongestEdge(t))!=NULL) { if (e->swap()) { t=e->t1; if (isDegenerateTriangle(t) && !IS_VISITED2(t) && ((long int)t->info < MAX_ATTEMPTS)) {triangles.appendTail(t); MARK_VISIT2(t); t->info = (void *)(((long int)t->info)+1);} t=e->t2; if (isDegenerateTriangle(t) && !IS_VISITED2(t) && ((long int)t->info < MAX_ATTEMPTS)) {triangles.appendTail(t); MARK_VISIT2(t); t->info = (void *)(((long int)t->info)+1);} } } } } removeUnlinkedElements(); int failed=0; // This should check only on actually processed triangles FOREACHTRIANGLE(t, n) if (isDegenerateTriangle(t)) {failed++; MARK_VISIT(t);} JMesh::info("%d degeneracies selected\n",failed); return failed; } // returns true on success bool ExtTriMesh::cleanDegenerateTriangles(int max_iters, int num_to_keep) { int n, iter_count = 0, iter_count2 = 0; bool quiet = JMesh::quiet; JMesh::info("Removing degeneracies...\n"); while ((++iter_count) <= max_iters && swapAndCollapse()) { for (n=1; n region growing JMesh::quiet = true; fillSmallBoundaries(E.numels()); JMesh::quiet = quiet; for(n=1; nremoveSelectedTriangles(); JMesh::quiet = true; fillSmallBoundaries(E.numels()); JMesh::quiet = quiet; this->deselectTriangles(); } } asciiAlign(); } if (iter_count > max_iters) return false; return true; } bool appendCubeToList(Triangle *t0, List& l) { if (!IS_VISITED(t0) || IS_VISITED2(t0)) return false; Triangle *t, *s; Vertex *v; List triList(t0); MARK_VISIT2(t0); double minx=DBL_MAX, maxx=-DBL_MAX, miny=DBL_MAX, maxy=-DBL_MAX, minz=DBL_MAX, maxz=-DBL_MAX; while(triList.numels()) { t = (Triangle *)triList.popHead(); v = t->v1(); minx=MIN(minx,v->x); miny=MIN(miny,v->y); minz=MIN(minz,v->z); maxx=MAX(maxx,v->x); maxy=MAX(maxy,v->y); maxz=MAX(maxz,v->z); v = t->v2(); minx=MIN(minx,v->x); miny=MIN(miny,v->y); minz=MIN(minz,v->z); maxx=MAX(maxx,v->x); maxy=MAX(maxy,v->y); maxz=MAX(maxz,v->z); v = t->v3(); minx=MIN(minx,v->x); miny=MIN(miny,v->y); minz=MIN(minz,v->z); maxx=MAX(maxx,v->x); maxy=MAX(maxy,v->y); maxz=MAX(maxz,v->z); if ((s = t->t1()) != NULL && !IS_VISITED2(s) && IS_VISITED(s)) {triList.appendHead(s); MARK_VISIT2(s);} if ((s = t->t2()) != NULL && !IS_VISITED2(s) && IS_VISITED(s)) {triList.appendHead(s); MARK_VISIT2(s);} if ((s = t->t3()) != NULL && !IS_VISITED2(s) && IS_VISITED(s)) {triList.appendHead(s); MARK_VISIT2(s);} } l.appendTail(new Point(minx, miny, minz)); l.appendTail(new Point(maxx, maxy, maxz)); return true; } bool isVertexInCube(Vertex *v, List& loc) { Node *n; Point *p1, *p2; FOREACHNODE(loc, n) { p1 = (Point *)n->data; n=n->next(); p2 = (Point *)n->data; if (!(v->x < p1->x || v->y < p1->y || v->z < p1->z || v->x > p2->x || v->y > p2->y || v->z > p2->z)) return true; } return false; } void ExtTriMesh::selectTrianglesInCubes() { Triangle *t; Vertex *v; Node *n; List loc; FOREACHTRIANGLE(t, n) appendCubeToList(t, loc); FOREACHVERTEX(v, n) if (isVertexInCube(v, loc)) MARK_VISIT(v); FOREACHTRIANGLE(t, n) { UNMARK_VISIT2(t); if (IS_VISITED(t->v1()) || IS_VISITED(t->v2()) || IS_VISITED(t->v3())) MARK_VISIT(t); } FOREACHVERTEX(v, n) UNMARK_VISIT(v); loc.freeNodes(); } // returns true on success bool ExtTriMesh::removeSelfIntersections(int max_iters, int number_components_to_keep) { int n, iter_count = 0; bool quiet = JMesh::quiet; printf("Removing self-intersections...\n"); while ((++iter_count) <= max_iters && selectIntersectingTriangles()) { for (n=1; n max_iters) return false; return true; } bool ExtTriMesh::removeSelfIntersections2(int max_iterations, int number_components_to_keep) { bool quiet = JMesh::quiet; int iteration_counter = 0, remove_and_fill_counter = 0, smooth_counter = 0, grow_counter = 0; JMesh::info("Removing self-intersections (using advanced method)...\n"); int nintersecting = 0, nintersecting_new = 0; deselectTriangles(); invertSelection(); JMesh::info("Stage: Remove and Fill (1)\n"); while (true) { iteration_counter++; asciiAlign(); if((nintersecting_new = selectIntersectingTriangles(10)) > 0) { remove_and_fill_counter++; // remove intersecting triangles removeSelectedTriangles(); // remove smallest shells removeSmallestComponents(number_components_to_keep); // fill, refine, fair, keep new triangles selected JMesh::quiet = true; fillSmallBoundaries(E.numels(), true); JMesh::quiet = quiet; // grow selection, recheck selection for intersections growSelection(); if (nintersecting != nintersecting_new && remove_and_fill_counter < max_iterations*2) { // the last iteration resulted in different holes as before nintersecting = nintersecting_new; continue; } } else { deselectTriangles(); if(iteration_counter == 1 || !selectIntersectingTriangles()) return true; // we have reached the end continue; } remove_and_fill_counter = 0; JMesh::info("Stage: Laplacian Smooth (%d)\n", smooth_counter+1); // next step is smoothing deselectTriangles(); removeSmallestComponents(number_components_to_keep); if(!selectIntersectingTriangles()) continue; if(smooth_counter++ < max_iterations) { JMesh::info("Laplacian smoothing of selected triangles.\n"); // increase region to smooth for( int i = 0; i < smooth_counter; i++) growSelection(); // smooth with 1 step, keep selection JMesh::quiet = true; laplacianSmooth(); JMesh::quiet = quiet; growSelection(); nintersecting = 0; JMesh::info("Stage: Remove and Fill (%d)\n", iteration_counter+1); continue; } smooth_counter = 0; JMesh::info("Stage: Grow selection, Remove and Fill (%d)\n", grow_counter+1); deselectTriangles(); removeSmallestComponents(number_components_to_keep); if(selectIntersectingTriangles()) { for (int i=0; i < grow_counter+1; i++) growSelection(); removeSelectedTriangles(); removeSmallestComponents(number_components_to_keep); JMesh::quiet = true; fillSmallBoundaries(E.numels(), true); JMesh::quiet = quiet; if (++grow_counter >= max_iterations) break; JMesh::info("Stage: Remove and Fill (%d)\n", iteration_counter+1); } } return false; } bool ExtTriMesh::isDegeneracyFree() { Node *n; Triangle *t; if (epsilon_angle != 0.0) {FOREACHTRIANGLE(t, n) if (t->isDegenerate()) return false;} else {FOREACHTRIANGLE(t, n) if (isDegenerateTriangle(t)) return false;} return true; } // returns true on success bool ExtTriMesh::clean(int max_iters, int inner_loops, int number_components_to_keep) { bool ni, nd; deselectTriangles(); invertSelection(); for (int n=0; nremoveOverlappingTriangles(); nd = cleanDegenerateTriangles(inner_loops, number_components_to_keep); ni = removeSelfIntersections2(inner_loops, number_components_to_keep); if(boundaries()) { this->selectBoundaryTriangles(); this->removeSelectedTriangles(); this->fillSmallBoundaries(E.numels(), true, false); } if (ni && nd && isDegeneracyFree() && !this->checkGeometry()) { this->checkAndRepair(); return true; } } return false; } bool ExtTriMesh::removeHandles() { double radius = 1; unsigned max_radius = this->bboxLongestDiagonal(); while(this->handles() && radius < max_radius) { if(this->shells() > 1) this->removeSmallestComponents(1); this->selectTinyHandles(radius++); this->removeSelectedTriangles(); this->fillSmallBoundaries(this->E.numels(), true, false); this->d_handles = this->d_shells = 1; } return this->handles() == 0; } octave-iso2mesh-1.9.6+ds/meshfix/src/uniform.cpp0000755001356000007640000001031713673436411020547 0ustar fangqadmin/**************************************************************************** * JMeshExt * * * * Consiglio Nazionale delle Ricerche * * Istituto di Matematica Applicata e Tecnologie Informatiche * * Sezione di Genova * * IMATI-GE / CNR * * * * Authors: Marco Attene * * * * Copyright(C) 2006: IMATI-GE / CNR * * * * All rights reserved. * * * * This program is free software; you can redistribute it and/or modify * * it under the terms of the GNU General Public License as published by * * the Free Software Foundation; either version 2 of the License, or * * (at your option) any later version. * * * * This program is distributed in the hope that it will be useful, * * but WITHOUT ANY WARRANTY; without even the implied warranty of * * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * * GNU General Public License (http://www.gnu.org/licenses/gpl.txt) * * for more details. * * * ****************************************************************************/ #include "exttrimesh.h" #include Point unrm_tangentRepel(Vertex *v, double len) { Node *m; Point nor = v->getNormal(), sp1, sp2; Edge *e, *se1=NULL, *se2=NULL; if (nor.isNull()) return (*v); nor.normalize(); double l, l1, l2; int nse=0; Vertex *w; Point tp, np; List *ve = v->VE(); FOREACHVEEDGE(ve, e, m) { w = e->oppositeVertex(v); np = ((*v)-(*w)); l = np.length(); if(l != 0.0) np.normalize(); l = len-l; np = np*l; if (IS_SHARPEDGE(e) || e->isOnBoundary()) {nse++; se2=se1; se1=e; if (nse>2) break;} np.project(&nor); tp = tp+np; } if (!nse) tp = (*v)+(tp/ve->numels()); else if (nse==2) { sp1 = *(se1->oppositeVertex(v)); l1 = se1->length(); sp2 = *(se2->oppositeVertex(v)); l2 = se2->length(); tp = (*v)+((sp1-sp2)*((l1-l2)/(2*(l1+l2)))); } else tp = *v; delete(ve); return tp; } int ExtTriMesh::uniformRemesh(int ns, int numver, int max_swaps) { Node *n; Vertex *v; Edge *e; Point np; int i, swaps, totits, ins = ns; double l, avelen, varian; deselectTriangles(); if (numver) { JMesh::info("Reaching the number of vertices ...\n"); if (numver > V.numels()) epsilonSample(0, numver); else if (numver < V.numels()) simplify(numver, 0, 1, 0); } double *elens = (double *)malloc(sizeof(double)*E.numels()); coord *xyz = (coord *)malloc(sizeof(coord)*V.numels()*3); JMesh::info("Relaxation in progress ...\n"); JMesh::begin_progress(); for (; ns > 0; ns--) { i=0; avelen=0.0; FOREACHEDGE(e, n) avelen += (elens[i++]=e->length()); avelen /= E.numels(); i=0; varian=0.0; FOREACHEDGE(e, n) {varian += (avelen-elens[i])*(avelen-elens[i]); i++;} varian /= E.numels(); i=0; FOREACHVERTEX(v, n) {np = unrm_tangentRepel(v, avelen); xyz[i++]=np.x; xyz[i++]=np.y; xyz[i++]=np.z;} i=0; FOREACHVERTEX(v, n) {v->x=xyz[i++]; v->y=xyz[i++]; v->z=xyz[i++];} swaps=totits=1; while (swaps && totits++ < max_swaps) { swaps = 0; FOREACHEDGE(e, n) if (!IS_SHARPEDGE(e)) { l = e->length(); if (e->swap()) {if (e->length() >= l*0.999999) e->swap(1); else swaps++;} } } if (totits >= max_swaps) JMesh::warning("Can't optimize!\n"); JMesh::report_progress("%d %% done ",((ins-ns)*100)/ins); } JMesh::end_progress(); free(xyz); free(elens); return 1; } octave-iso2mesh-1.9.6+ds/meshfix/src/smoothing.cpp0000755001356000007640000000764213673436411021106 0ustar fangqadmin/**************************************************************************** * JMeshExt * * * * Consiglio Nazionale delle Ricerche * * Istituto di Matematica Applicata e Tecnologie Informatiche * * Sezione di Genova * * IMATI-GE / CNR * * * * Authors: Marco Attene * * * * Copyright(C) 2006: IMATI-GE / CNR * * * * All rights reserved. * * * * This program is free software; you can redistribute it and/or modify * * it under the terms of the GNU General Public License as published by * * the Free Software Foundation; either version 2 of the License, or * * (at your option) any later version. * * * * This program is distributed in the hope that it will be useful, * * but WITHOUT ANY WARRANTY; without even the implied warranty of * * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * * GNU General Public License (http://www.gnu.org/licenses/gpl.txt) * * for more details. * * * ****************************************************************************/ #include "exttrimesh.h" #include #include /* Point laplacianDisplacement(Vertex *v) { List *vv = v->VV(); Vertex *w; Node *m; Point np; FOREACHVVVERTEX(vv, w, m) np = np+(*w); np = (np)/(vv->numels()); delete(vv); return np; } */ Point sharpLaplacianDisplacement(Vertex *v) { List *ve = v->VE(); Vertex *w; Node *m; Edge *e; Point np; int nse=0; FOREACHVEEDGE(ve, e, m) if (IS_SHARPEDGE(e) || e->isOnBoundary()) { if (nse==0) np.setValue(e->oppositeVertex(v)); else if (nse==1) np = np + (*(e->oppositeVertex(v))); else {delete(ve); return (*v);} nse++; } else if (!nse) {w = e->oppositeVertex(v); np = np+(*w);} if (!nse) np = (np)/(ve->numels()); else if (nse == 1) np = (*v); else np = np/2; delete(ve); return np; } int ExtTriMesh::laplacianSmooth(int ns, double l) { Triangle *t; Edge *e; Vertex *v; Node *n; int i = 0, is_selection = 0, ins = ns; double ln = 1.0-l; Point np; FOREACHTRIANGLE(t, n) if (IS_VISITED(t)) {MARK_VISIT(t->e1); MARK_VISIT(t->e2); MARK_VISIT(t->e3);} FOREACHEDGE(e, n) if (IS_VISITED(e)) {MARK_VISIT(e->v1); MARK_VISIT(e->v2); is_selection = 1;} List vts; FOREACHVERTEX(v, n) if (!is_selection || IS_VISITED(v)) vts.appendHead(v); coord *xyz = (coord *)malloc(sizeof(coord)*vts.numels()*3); if (xyz == NULL) {JMesh::warning("Not enough memory for vertex coordinates.\n"); return 0;} JMesh::begin_progress(); for (; ns>0; ns--) { i=0; FOREACHVVVERTEX((&vts), v, n) { np = sharpLaplacianDisplacement(v); if (!(i%3000)) JMesh::report_progress("%d %% done - %d steps left",((i*33)/(vts.numels()) + (100*(ins-ns)))/ins, ns); xyz[i++] = np.x*l+v->x*ln; xyz[i++] = np.y*l+v->y*ln; xyz[i++] = np.z*l+v->z*ln; } i=0; FOREACHVVVERTEX((&vts), v, n) { v->x = xyz[i++]; v->y = xyz[i++]; v->z = xyz[i++]; } } JMesh::end_progress(); free(xyz); FOREACHEDGE(e, n) UNMARK_VISIT(e); FOREACHVERTEX(v, n) UNMARK_VISIT(v); return 1; } octave-iso2mesh-1.9.6+ds/meshfix/src/sparseLSystem.cpp0000644001356000007640000001516713673436411021713 0ustar fangqadmin/**************************************************************************** * JMeshExt * * * * Consiglio Nazionale delle Ricerche * * Istituto di Matematica Applicata e Tecnologie Informatiche * * Sezione di Genova * * IMATI-GE / CNR * * * * Authors: Marco Attene * * * * Copyright(C) 2006: IMATI-GE / CNR * * * * All rights reserved. * * * * This program is free software; you can redistribute it and/or modify * * it under the terms of the GNU General Public License as published by * * the Free Software Foundation; either version 2 of the License, or * * (at your option) any later version. * * * * This program is distributed in the hope that it will be useful, * * but WITHOUT ANY WARRANTY; without even the implied warranty of * * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * * GNU General Public License (http://www.gnu.org/licenses/gpl.txt) * * for more details. * * * ****************************************************************************/ #include "sparseLSystem.h" #include "nl.h" ////////////////////////////////////////////////////////////////////////// // // Sparse linear system // ////////////////////////////////////////////////////////////////////////// void sparseSystem::sparseSystemRow::addCoefficient(int i, double c) { Node *n; coeffIndexPair *f; for (n=cips.head(); n!=NULL; n=n->next()) { f = (coeffIndexPair *)n->data; if (f->index == i) {f->coeff += c; return;} } cips.appendTail(new coeffIndexPair(i,c)); } int sparseSystem::sparseSystemRow::rowcompare(const void *a, const void *b) { coeffIndexPair *p1 = (coeffIndexPair *)a; coeffIndexPair *p2 = (coeffIndexPair *)b; if (p1->index > p2->index) return 1; if (p1->index < p2->index) return -1; return 0; } void sparseSystem::sparseSystemRow::print(FILE *fp, int sz) { List stc(cips); stc.sort(&sparseSystem::sparseSystemRow::rowcompare); coeffIndexPair *f; int j=0; for (Node *n=stc.head(); n!=NULL; n=n->next()) { f = (coeffIndexPair *)n->data; while (f->index > j) {fprintf(fp,"0.000 "); j++;} fprintf(fp, "%.3f ",f->coeff); j++; } for (; jnext()) { f = (coeffIndexPair *)n->data; nlCoefficient(f->index, f->coeff); } nlEnd(NL_ROW); } nlEnd(NL_MATRIX); nlEnd(NL_SYSTEM); bool success = (bool)nlSolve(); if (success) for (i=0; inext()) { f = (coeffIndexPair *)n->data; nlCoefficient(f->index, f->coeff); } nlEnd(NL_ROW); } nlEnd(NL_MATRIX); nlEnd(NL_SYSTEM); nlSolve(); for (i=0; inext()) { f = (coeffIndexPair *)n->data; nlCoefficient(f->index, f->coeff); } nlEnd(NL_ROW); } nlEnd(NL_MATRIX); nlEnd(NL_SYSTEM); nlSolve(); for (i=0; iinfo)) #define DI_STORED_PNORMAL(t) (((Point *)DI_STORED_PANORMAL(t))) #define DI_STORED_NORMAL(t) (*DI_STORED_PNORMAL(t)) #define DI_MAX_NUMBER_OF_CELLS 10000 #define DI_TEINT_EPS 1.0e-15 #define DI_EPSILON_POINT Point(1.0e-9, 1.0e-9, 1.0e-9) class di_cell { public: Point mp, Mp; List triangles; di_cell() {} di_cell(const di_cell &toCopy) { mp = toCopy.mp; Mp = toCopy.Mp; triangles.appendList(&toCopy.triangles); } di_cell(Triangulation *tin, bool useAll=1); inline bool is_Point_in_cell(Point *p) {return (p->x >= mp.x && p->x <= Mp.x && p->y >= mp.y && p->y <= Mp.y && p->z >= mp.z && p->z <= Mp.z);} bool is_triangleBB_in_cell(Triangle *t); di_cell *fork(); bool doesNotIntersectForSure(); bool containsBothShells(short markBitShell1 = 0, short markBitShell2 = 1); void initializeEdges(); void di_selectIntersections(); bool collinearPoints(Point *, Point *, Point *); }; // //// functions, that don't need the object //Point *edgeIntersectsTriangle(Edge *, Triangle *, Edge **); //Point *edgeEdgeIntersection(Edge *, Edge *); #endif // DETECT_INTERSECTIONS_H octave-iso2mesh-1.9.6+ds/meshfix/include/simplification.h0000755001356000007640000001140713673436411022404 0ustar fangqadmin/**************************************************************************** * JMeshExt * * * * Consiglio Nazionale delle Ricerche * * Istituto di Matematica Applicata e Tecnologie Informatiche * * Sezione di Genova * * IMATI-GE / CNR * * * * Authors: Marco Attene * * * * Copyright(C) 2006: IMATI-GE / CNR * * * * All rights reserved. * * * * This program is free software; you can redistribute it and/or modify * * it under the terms of the GNU General Public License as published by * * the Free Software Foundation; either version 2 of the License, or * * (at your option) any later version. * * * * This program is distributed in the hope that it will be useful, * * but WITHOUT ANY WARRANTY; without even the implied warranty of * * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * * GNU General Public License (http://www.gnu.org/licenses/gpl.txt) * * for more details. * * * ****************************************************************************/ #ifndef SIMPLIFICATION_H #define SIMPLIFICATION_H #include "exttrimesh.h" #include "heap.h" /////////////////////////////////////////////////// // // Quadric Error matrix // // This class stores the elements of the QEM // associated to a vertex. The matrix is symmetric, // so only 10 elements need to be stored explicitly. // // The field 'compute_optimal_point' is used to // switch to the optimal point computation. If not // set, the best among the mid and the two // end-points is used as representative for the // collapse. // // The field 'use_check_collapse' is used to run // the inversion-test prior to a contraction. If // the test fails, the contraction is assigned an // infinite cost. // If 'fast_check_collapse' is FALSE, then the // algorithm checks for creation of degenerate or // overlapping triangles too. // //////////////////////////////////////////////////// class Q_matrix : public SymMatrix4x4 { public: static char compute_optimal_point; // Read above. static char use_check_collapse; // Read above. static char fast_check_collapse; // Read above. Q_matrix() : SymMatrix4x4() {}; // Empty constructor Q_matrix(const SymMatrix4x4& q) : SymMatrix4x4(q) {}; // Copy Q_matrix(Vertex *); // Init with incident planes void addPlane(Triangle *); // Add one plane Point getOptimalPoint(Edge *); // Return the new position Point bestAmongMidAndEndpoints(Edge *); // Return best of v1, v2 or mid int checkCollapse(Edge *, Point *); // Check for mesh inversion double getError(Point *, Edge * =NULL); // Compute the error at a point }; ////////////////////////////////////////////////////// // // Cost assigned to each edge prior to simplification. // ////////////////////////////////////////////////////// class EC_Cost { public: int index; // Used to re-order the heap double cost; // Contraction cost static char which_cost_function; // Select a function to use EC_Cost(Edge *, int); // Constructor double updateCost(Edge *); // Update cost }; ////////////////////////////////////////////////////// // // Implementation of the priority-queue based on the // abstract class for generic heaps. // ////////////////////////////////////////////////////// class edgeHeap : abstractHeap { public: Edge **edges; // Used for re-ordering edgeHeap(int, Edge **); // constructor ~edgeHeap(); // destructor // Insertion of a new element inline void push(Edge *e) {insert((void *)((EC_Cost *)e->info)->index);} // Removal of the first element inline Edge *popHead() {return edges[(j_voidint)removeHead()];} // Emptiness check inline int isEmpty() {return (numels==0);} void remove(Edge *); // Remove one element void update(Edge *); // Update one element int compare(const void *, const void *); // Comparison for sorting }; #endif // SIMPLIFICATION_H octave-iso2mesh-1.9.6+ds/meshfix/include/exttrimesh.h0000644001356000007640000001631013673436411021561 0ustar fangqadmin/**************************************************************************** * JMeshExt * * * * Consiglio Nazionale delle Ricerche * * Istituto di Matematica Applicata e Tecnologie Informatiche * * Sezione di Genova * * IMATI-GE / CNR * * * * Authors: Marco Attene * * * * Copyright(C) 2006: IMATI-GE / CNR * * * * All rights reserved. * * * * This program is free software; you can redistribute it and/or modify * * it under the terms of the GNU General Public License as published by * * the Free Software Foundation; either version 2 of the License, or * * (at your option) any later version. * * * * This program is distributed in the hope that it will be useful, * * but WITHOUT ANY WARRANTY; without even the implied warranty of * * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * * GNU General Public License (http://www.gnu.org/licenses/gpl.txt) * * for more details. * * * ****************************************************************************/ #ifndef _EXTTRIMESH_H #define _EXTTRIMESH_H #include "jmesh.h" #include #include using std::set; class ExtTriMesh : public Triangulation { public: double epsilon_angle; // Constructors ExtTriMesh() : Triangulation() { epsilon_angle = 0; } ExtTriMesh(const char *s) : Triangulation(s) { epsilon_angle = 0; } ExtTriMesh(const Triangulation *t) : Triangulation(t) { epsilon_angle = 0; } ExtTriMesh(const Triangle *t, const bool keep_ref =false) : Triangulation(t, keep_ref) { epsilon_angle = 0; } Edge *joinBoundaryLoops(bool =0, bool =1, bool =1); // (in "ALGORITHMS/holeFilling.cpp") Edge *joinBoundaryLoops(Vertex *, Vertex *, bool =0, bool =1, bool =1); // (in "ALGORITHMS/holeFilling.cpp") int fillSmallBoundaries(int, bool =0, bool =0); // (in "ALGORITHMS/holeFilling.cpp") int TriangulateHole(Edge *); // (in "ALGORITHMS/holeFilling.cpp") void FillHole(Edge *, bool =0); // (in "ALGORITHMS/holeFilling.cpp") int refineSelectedHolePatches(Triangle * =NULL); // (in "ALGORITHMS/holeFilling.cpp") void fairSelection(Triangle * =NULL); // (in "ALGORITHMS/holeFilling.cpp") // Mirko's functions int joinOverlappingComponentPair(); int joinOverlappingComponentPair2(); // returns the number of joined boundaries int joinComponentsBiggestBoundaryPair(List *nl, List *ml, double maxDistanceToJoin); bool loopsHaveAllVerticesCloserThanDistance(List *loop, List *loop2, const double &distance); //! Determines the closest pair of vertices of the lists l1,l2. Good for boundary loops. double closestPair(List *l1, List *l2, Vertex **closest1, Vertex **closest2); //! Determines the closest partner of a vertex in a list of vertices double getClosestPartner(Vertex *v, List *l, Vertex **closestParnter); double mostDistantPartner(Vertex *v, List *l, Vertex **distantPartner); bool joinBoundaryPair(List *bl1, List *bl2); int moveVerticesInwards(Point &componentCenter, std::map &origin, double stepsize = 1.0, double distance = 1.0); //! Iteratively moves overlapping parts of the first component out or inwards (in terms of normal orientation), to resolve //! overlaps. There are 3 possibilities to resolve overlaps of 2 components (outer and inner): //! 1) Move the vertices of the outer component outwards, such that it the outer component contains the inner component. //! 2) Move the vertices of the outer component inwards, such that it doesn't overlap anymore. //! 3) Move the vertices of the inner component inwards, such that it the outer component contains the inner component. //! Mesh is cleaned in each iteration. At the end the second component is removed. bool decoupleFirstFromSecondComponent(double minAllowedDistance = 1.0, unsigned max_iterations = 10, bool treatFirstAsOuter = true, bool outwards = true); //! Removes all parts of the first component, that are outside/inside the second component and fills the holes again. //! Use decoupleFirstFromSecondComponent() afterwards, to remove overlaps produces by the hole filling. void cutFirstWithSecondComponent(double minAllowedDistance = 1.0, bool cutOuter = true); //! Marks triangles of component1 that are inside of component2. Components triangles must be marked accordingly. int markTrianglesInsideComponent(short targetMarkBit = 0, short componentMarkBit1 = 5, short componentMarkBit2 = 4, bool treatIntersectionsAsOutside = false); //! Moves vertices of component1 that are closer than d to any triangle of component2. int moveTooCloseVerticesOutwards(double minAllowedDistance = 1.0, short componentMarkBit1 = 5, short componentMarkBit2 = 4); //! Dilates the surface by d into the direction of the mean normal at each vertex void dilate(double d = 1.0); //! fine-tunes the triangle distances int fineTune(double dist = 0.2, int nsteps = 4, bool secondIn = false); // Cleaning functions (src/cleaning.cpp) void asciiAlign(); int swapAndCollapse(); bool cleanDegenerateTriangles(int max_iters = 10, int num_to_keep = 1); bool removeSelfIntersections(int max_iters, int number_components_to_keep = 1); bool removeSelfIntersections2(int max_iterations, int number_components_to_keep = 1); bool isDegeneracyFree(); void selectTrianglesInCubes(); bool clean(int max_iters = 10, int inner_loops = 3, int number_components_to_keep = 1); //! Iteratively increases the radius of the handles to select, removes the selected triangles and fills the holes bool removeHandles(); // Misc Algorithms (Implemented in "ALGORITHMS/*.C") void loopSubdivision(int); void modbutSubdivision(); void sqrt3Subdivision(); int laplacianSmooth(int =1, double =1.0); int uniformRemesh(int num_steps, int num_vertices = 0, int max_swaps = 10); int spherize(int); int featureRecover(double, double); int simplify(int, int =0, int =0, int =0); int multiplechoice_simplify(int, int =0, int =8, int =0); void mc_resample(int, int =0, int =0); int epsilonSample(double, int =0); //! Note: applies unmark bit 0,1,3! int selectIntersectingTriangles(UINT16 tri_per_cell=100); void tagPlanarRegionsBoundaries(double max_distance); //! Normalize all the shells and distribute them on a virtual sphere. O(N). void placeShellsOnVirtualSphere(); Edge *flatten(Edge * =NULL); bool plumberSelect(Vertex *start, double radius); }; #endif // _EXTTRIMESH_H octave-iso2mesh-1.9.6+ds/meshfix/include/holeFilling.h0000644001356000007640000000456213673436411021627 0ustar fangqadmin/**************************************************************************** * JMeshExt * * * * Consiglio Nazionale delle Ricerche * * Istituto di Matematica Applicata e Tecnologie Informatiche * * Sezione di Genova * * IMATI-GE / CNR * * * * Authors: Marco Attene * * * * Copyright(C) 2006: IMATI-GE / CNR * * * * All rights reserved. * * * * This program is free software; you can redistribute it and/or modify * * it under the terms of the GNU General Public License as published by * * the Free Software Foundation; either version 2 of the License, or * * (at your option) any later version. * * * * This program is distributed in the hope that it will be useful, * * but WITHOUT ANY WARRANTY; without even the implied warranty of * * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * * GNU General Public License (http://www.gnu.org/licenses/gpl.txt) * * for more details. * * * ****************************************************************************/ #ifndef HOLE_FILLING_H #define HOLE_FILLING_H #include "exttrimesh.h" #include "matrix.h" #include "sparseLSystem.h" // Sparse linear system class fs_sparseSystem : public sparseSystem { public: fs_sparseSystem(int s) : sparseSystem(s, 3) {} // The following calls 'solve' three times and fills the vertex list with x, y, z results void solve(List *); }; #endif // HOLE_FILLING_H octave-iso2mesh-1.9.6+ds/meshfix/include/component.h0000644001356000007640000000731713673436411021376 0ustar fangqadmin#ifndef COMPONENT_H #define COMPONENT_H #include "triangle.h" //! ComponentStruct references triangles and vertices of a Triangulation //! and provides serveral convenience functions. class ComponentStruct { public: List *triangles; List *vertices; List *boundaries; // component = triangles of list ComponentStruct() { triangles = vertices = boundaries = NULL; } void clear() { if(triangles) triangles->removeNodes(); if(vertices) vertices->removeNodes(); if(boundaries) while(List *l = (List*) boundaries->popHead()) delete(l); } ComponentStruct(List* l) { this->triangles = new List(l); vertices = boundaries = NULL; } // component = triangles connected to t ComponentStruct(Triangle *t, unsigned b = 2) { this->triangles = new List(); Triangle *t1, *t2, *t3; MARK_BIT(t,b); List todo(t); while (todo.numels()) { t = (Triangle *)todo.popHead(); this->triangles->appendHead(t); t1 = t->t1(); t2 = t->t2(); t3 = t->t3(); if (t1 != NULL && !IS_BIT(t1,b)) {MARK_BIT(t1,b); todo.appendHead(t1);} if (t2 != NULL && !IS_BIT(t2,b)) {MARK_BIT(t2,b); todo.appendHead(t2);} if (t3 != NULL && !IS_BIT(t3,b)) {MARK_BIT(t3,b); todo.appendHead(t3);} } this->unmarkBit(b); vertices = boundaries = NULL; } void initializeBoundaries() { vertices = getVertices(); boundaries = getBoundaryLoops(); } void markBit(unsigned b) { Triangle *t; Node *n; FOREACHVTTRIANGLE(triangles, t, n) MARK_BIT(t,b); } void unmarkBit(unsigned b) { Triangle *t; Node *n; FOREACHVTTRIANGLE(triangles, t, n) UNMARK_BIT(t,b); } // get the vertices of the the component List* getVertices(unsigned b = 2) { Triangle *t = (Triangle*)this->triangles->head()->data; Vertex *v, *v1, *v2, *v3; Triangle *t1, *t2, *t3; Node *n; MARK_BIT(t,b); List todo(t), *vertexList = new List(); while (todo.numels()) { t = (Triangle *)todo.popHead(); t1 = t->t1(); t2 = t->t2(); t3 = t->t3(); v1 = t->v1(); v2 = t->v2(); v3 = t->v3(); if (!IS_BIT(v1,b)) {MARK_BIT(v1,b); vertexList->appendHead(v1);} if (!IS_BIT(v2,b)) {MARK_BIT(v2,b); vertexList->appendHead(v2);} if (!IS_BIT(v3,b)) {MARK_BIT(v3,b); vertexList->appendHead(v3);} if (t1 != NULL && !IS_BIT(t1,b)) {MARK_BIT(t1,b); todo.appendHead(t1);} if (t2 != NULL && !IS_BIT(t2,b)) {MARK_BIT(t2,b); todo.appendHead(t2);} if (t3 != NULL && !IS_BIT(t3,b)) {MARK_BIT(t3,b); todo.appendHead(t3);} } this->unmarkBit(b); FOREACHVVVERTEX(vertexList, v, n) {UNMARK_BIT(v,0); UNMARK_BIT(v,2);} return vertexList; } // get list of boundary loops of the component (= list of list of vertices) List* getBoundaryLoops(unsigned b = 2) { Vertex *v, *w; Node *n; List *loopList = new List(), *loop; this->vertices = this->getVertices(); FOREACHVVVERTEX(this->vertices, v, n) { // find next vertex of an unmarked boundary if (!IS_BIT(v,b) && v->isOnBoundary()) { w = v; loop = new List(); do { // mark all vertices at this boundary loop->appendHead(w); MARK_BIT(w,b); w = w->nextOnBoundary(); } while (w != v); loopList->appendHead(loop); } } FOREACHVVVERTEX(this->vertices, v, n) {UNMARK_BIT(v,2);} return loopList; } }; #endif // COMPONENT_H octave-iso2mesh-1.9.6+ds/meshfix/include/epsilonSampling.h0000755001356000007640000000540613673436411022540 0ustar fangqadmin/**************************************************************************** * JMeshExt * * * * Consiglio Nazionale delle Ricerche * * Istituto di Matematica Applicata e Tecnologie Informatiche * * Sezione di Genova * * IMATI-GE / CNR * * * * Authors: Marco Attene * * * * Copyright(C) 2006: IMATI-GE / CNR * * * * All rights reserved. * * * * This program is free software; you can redistribute it and/or modify * * it under the terms of the GNU General Public License as published by * * the Free Software Foundation; either version 2 of the License, or * * (at your option) any later version. * * * * This program is distributed in the hope that it will be useful, * * but WITHOUT ANY WARRANTY; without even the implied warranty of * * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * * GNU General Public License (http://www.gnu.org/licenses/gpl.txt) * * for more details. * * * ****************************************************************************/ #ifndef EPSILON_SAMPLING_H #define EPSILON_SAMPLING_H #include "exttrimesh.h" #include "heap.h" ////////////////////////////////////////////////////////////////////////// // // // Priority queue for epsilon sampling // // // ////////////////////////////////////////////////////////////////////////// class edgeSQLheap : abstractHeap { public: edgeSQLheap(int n) : abstractHeap(n) {}; void push(Edge *); inline Edge *popHead() {return (Edge *)removeHead();} inline int isEmpty() {return (numels==0);} int compare(const void *, const void *); int getnum() const {return numels;} }; #endif // EPSILON_SAMPLING_H octave-iso2mesh-1.9.6+ds/meshfix/readme.txt0000644001356000007640000001105413673436411017567 0ustar fangqadmin--------------- MeshFix V1.0 by Marco Attene IMATI-GE / CNR --------------- This software takes as input a polygon mesh and produces a copy of the input where all the occurrences of a specific set of "defects" are corrected. MeshFix has been designed to correct typical flaws present in RAW DIGITIZED mesh models, thus it might fail or produce coarse results if run on other sorts of input meshes (e.g. tessellated CAD models). When the software fails, it appends a textual description to the file "meshfix.log". The input is assumed to represent a single CLOSED SOLID OBJECT, thus the output will be a SINGLE WATERTIGHT TRIANGLE MESH bounding a polyhedron. All the singularities, self-intersections and degenerate elements are removed from the input, while regions of the surface without defects are left unmodified. Accepted input formats are OFF, PLY and STL. Other formats are supported only partially. See http://jmeshlib.sourceforge.net for details on supported formats. ----------------------------- ALGORITHM AND CITATION POLICY ----------------------------- To better understand how the algorithm works, please refer to the following paper: M. Attene. A lightweight approach to repairing digitized polygon meshes. The Visual Computer, 2010. (c) Springer. DOI: 10.1007/s00371-010-0416-3 This software is based on ideas published therein. If you use MeshFix for research purposes you should cite the above paper in your published results. MeshFix cannot be used for commercial purposes without a written permission by the author. ---------- PARAMETERS ---------- The user may select a threshold angle to be used when assessing whether a triangle is to be considered degenerate or not. Also, the user may want to force the software to keep only the biggest connected component of the input, while considering the others as "noise". If not specified by the user, the default threshold angle is 0, meaning that only triangles which have null area are considered to be degenerate (exact arithmetic is used for such evaluation). ------------------- COMMAND LINE SYNTAX ------------------- Usage: MeshFix meshfile [-a epsilon_angle] [-w] [-n] Processes 'meshfile' and saves the result to 'meshfile_fixed.off' By default, epsilon_angle is 0. If specified, it must be in the range (0 - 2) degrees. With '-w', the output is saved in VRML format instead of OFF. With '-n', only the biggest input component is kept, otherwise all of them are used. --------------------- OTHER LAUNCHING MODES --------------------- A mesh can also be fixed my simply dragging its icon on MeshFix's icon. In this case, only default parameters can be used. MeshFix does not require any interaction, thus it can be inserted into a script to automatically repair all the models of a given repository (e.g. a folder). If some failure cases occur, they will be logged to "meshfix.log" and thus can be easily located and possibly processed is a second stage through interactive software tools such as ReMESH (http://remesh.sourceforge.net). --------------------- SOURCE CODE --------------------- To compile the source code you need the following libraries correctly installed on your PC: 1) JMeshLib 1.1 or later DOWNLOAD AT: http://jmeshlib.sourceforge.net 2) The fast robust geometric predicates by J.R.Shewchuk DOWNLOAD AT: http://www.cs.cmu.edu/~quake/robust.html Rename the two files from predicates.* to jrs_predicates.* and copy them as follows: jrs_predicates.h to JMeshExt-1.0alpha_src\include\ jrs_predicates.c to JMeshExt-1.0alpha_src\src\JRS_Predicates\ 3) OpenNL DOWNLOAD AT: http://alice.loria.fr/index.php/software/4-library/23-opennl.html After that, compile JMeshExt (VC project in "JMeshExt-1.0alpha_src\vc8") and then MeshFix (VC project in "vc8"). --------- Copyright --------- MeshFix is Copyright(C) 2010: IMATI-GE / CNR All rights reserved. This program is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License (http://www.gnu.org/licenses/gpl.txt) for more details. octave-iso2mesh-1.9.6+ds/meshfix/meshfix.cpp0000644001356000007640000005156113673436411017747 0ustar fangqadmin#include "exttrimesh.h" #include #include const char *input_filename; double closestPair(List *bl1, List *bl2, Vertex **closest_on_bl1, Vertex **closest_on_bl2) { Node *n, *m; Vertex *v,*w; double adist, mindist = DBL_MAX; FOREACHVVVERTEX(bl1, v, n) FOREACHVVVERTEX(bl2, w, m) if ((adist = w->squaredDistance(v))T)), t, n) t->info = NULL; // initialize info of all triangles with their component number starting by 1. FOREACHVTTRIANGLE((&(tin->T)), t, n) { if (t->info == NULL) { i++; triList.appendHead(t); t->info = (void *)i; while(triList.numels()) { t = (Triangle *)triList.popHead(); if ((s = t->t1()) != NULL && s->info == NULL) {triList.appendHead(s); s->info = (void *)i;} if ((s = t->t2()) != NULL && s->info == NULL) {triList.appendHead(s); s->info = (void *)i;} if ((s = t->t3()) != NULL && s->info == NULL) {triList.appendHead(s); s->info = (void *)i;} } } } // if less then 2 components if (i<2) { // unset info again FOREACHVTTRIANGLE((&(tin->T)), t, n) t->info = NULL; JMesh::info("Mesh is a single component. Nothing done."); return false; } // copy triangle component number to the vertices FOREACHVTTRIANGLE((&(tin->T)), t, n) { t->v1()->info = t->v2()->info = t->v3()->info = t->info; } // create list boundary loop lists (= lists of connected vertices on a boundary) FOREACHVVVERTEX((&(tin->V)), v, n) { // find next vertex of an unmarked boundary if (!IS_VISITED2(v) && v->isOnBoundary()) { w = v; one_loop = new List; // mark all vertices at this boundary do { one_loop->appendHead(w); MARK_VISIT2(w); w = w->nextOnBoundary(); } while (w != v); boundary_loops.appendHead(one_loop); } } FOREACHVVVERTEX((&(tin->V)), v, n) UNMARK_VISIT2(v); bloops_array = (List **)boundary_loops.toArray(); numloops = boundary_loops.numels(); int numtris = tin->T.numels(); double adist, mindist=DBL_MAX; gv=NULL; for (i=0; ihead()->data)->info != ((Vertex *)bloops_array[j]->head()->data)->info) { adist = closestPair(bloops_array[i], bloops_array[j], &v, &w); if (adistjoinBoundaryLoops(gv, gw, justconnect, refine, fair); FOREACHVTTRIANGLE((&(tin->T)), t, n) t->info = NULL; FOREACHVVVERTEX((&(tin->V)), v, n) v->info = NULL; free(bloops_array); while ((one_loop=(List *)boundary_loops.popHead())!=NULL) delete one_loop; return (gv!=NULL); } //#define DISCLAIMER void usage() { printf("%s v%s - by %s.\n================================================================================\n", JMesh::app_name, JMesh::app_version, JMesh::app_authors); printf("USAGE: meshfix [] [OPTIONS]\n"); printf(" Processes file1 and saves the result to _fixed.off.\n"); printf(" An optionally passed file2 is merged with the first one.\n"); printf("OPTIONS:\n"); printf(" -a Allowed range: 0 < epsilon_angle < 2, default: 0 (degrees).\n"); printf(" -j Join 2 biggest components if they overlap, remove the rest.\n"); printf(" -jc Join the closest pair of components.\n"); printf(" -h, --help Print this help and exit.\n"); printf(" --shells Only the n biggest shells are kept.\n"); printf(" -o Set the output filename (without extension).\n"); printf(" -q Quiet mode, don't write much to stdout.\n"); printf(" --remove-handles Remove all handles of the mesh.\n"); printf(" -u Uniform remeshing of the whole mesh, steps > 0\n"); printf(" --vertices Constrain number of vertices to n (only with -u)\n"); printf(" --no-clean Don't clean.\n"); printf(" --smooth Apply n laplacian smoothing steps.\n"); printf(" -s, --stl Result is saved in STL format instead of OFF.\n"); printf(" -w, --wrl Result is saved in VRML1.0 format instead of OFF.\n"); printf(" --fsmesh Result is saved in FreeSurfer format instead of OFF.\n"); printf(" --xshift Shift x-coordinates of vertices by d when saving output.\n"); printf(" Only works with --fsmesh; used to deal with small FreeSurfer glitch\n"); printf(" --msh Result is saved in gmsh format for debugging (including vertex and triangle masks)\n"); printf(" == Cutting, decoupling, dilation ==\n"); printf(" --cut-outer Remove triangles of 1st that are outside of the 2nd shell.\n"); printf(" --cut-inner Remove triangles of 1st that are inside of the 2nd shell.\n"); printf(" Dilate 2nd by d; Fill holes and keep only 1st afterwards.\n"); printf(" --decouple-inin Treat 1st file as inner, 2nd file as outer component.\n"); printf(" Resolve overlaps by moving inners triangles inwards.\n"); printf(" --decouple-outin Treat 1st file as outer, 2nd file as inner component.\n"); printf(" Resolve overlaps by moving outers triangles inwards.\n"); printf(" --decouple-outout Treat 1st file as outer, 2nd file as inner component.\n"); printf(" Resolve overlaps by moving outers triangles outwards.\n"); printf(" Constrain the min distance between the components > d.\n"); printf(" --fineTuneIn Used to fine-tune the minimal distance between surfaces \n"); printf(" A minimal distance d is ensured, and reached in n substeps \n"); printf(" When using the surfaces for subsequent volume meshing by gmsh\n"); printf(" this step prevent too flat tetrahedra\n"); printf(" --fineTuneOut Similar to --fineTuneIn, but ensures minimal distance in the other direction\n"); printf(" --dilate Dilate the surface by d. d < 0 means shrinking.\n"); printf(" --intersect If the mesh contains intersections, return value = 1.\n"); printf(" --intersect -o fname.msh If the mesh contains intersections, return value = 1.\n"); printf(" In addtion, save mesh with highlighted intersections in Gmsh format\n"); printf("Accepted input formats are OFF, PLY and STL.\nOther formats are supported only partially.\n"); printf("See http://jmeshlib.sourceforge.net for details on supported formats.\n"); printf("\nIf MeshFix is used for research purposes, please cite the following paper:\n"); printf("M. Attene - A lightweight approach to repairing digitized polygon meshes.\nThe Visual Computer, 2010. (c) Springer.\n"); exit(0); } char *createFilename(const char *iname, const char *subext, const char *newextension, bool stripExt) { static char tname[2048]; char *oname = (char *)malloc(strlen(iname)+strlen(subext)+strlen(newextension)+1); strcpy(tname, iname); if(!stripExt) { int tl = strlen(tname), nl = strlen(newextension); stripExt = true; for (int n=0; n < nl; n++) stripExt &= tname[tl-nl+n] == newextension[n]; // strip if identical extension found } if(stripExt) for (int n=strlen(tname)-1; n>0; n--) if (tname[n]=='.') {tname[n] = '\0'; break;} sprintf(oname,"%s%s%s",tname,subext,newextension); return oname; } int main(int argc, char *argv[]) { JMesh::init(); JMesh::app_name = "MeshFix"; JMesh::app_version = "1.2-alpha"; JMesh::app_year = "2011"; JMesh::app_authors = "Marco Attene, Mirko Windhoff, Axel Thielscher"; JMesh::app_maillist = "attene@ge.imati.cnr.it, mirko.windhoff@tuebingen.mpg.de, axel.thielscher@tuebingen.mpg.de"; ExtTriMesh tin; #ifdef DISCLAIMER printf("\n*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*\n"); printf("This software can be used ONLY with an explicit authorization of the author.\n"); printf("If you do not have such an authorization, you must delete this software.\n"); printf("In no event this version of MeshFix can be redistributed.\n"); printf("\n*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*\n"); #endif if (argc < 2) usage(); float par = 0; unsigned numberComponentsToKeep = 1; bool joinOverlappingComponents = false; // float minAllowedDistance = 0; bool haveJoinClosestComponents = false; int uniformRemeshSteps = 0, numberOfVertices = 0; int smoothingSteps = 0, nsteps = -1; double cutOuterMinDist = -1, cutInnerMinDist = -1; double decoupleOuterOutMinDist = -1, decoupleOuterInMinDist = -1, decoupleInnerInMinDist = -1; double dilateDist = 0; double fineTuneIn = -1, fineTuneOut = -1; bool clean = true; bool removeHandles = false; bool save_vrml = false; bool save_stl = false; bool save_msh = false; bool save_fsmesh = false; float xshift = 0.0; // used by saveFSMESH bool haveOutputFile = false; bool haveIntersectText = false; const char *outputFile; if (!strcmp(argv[1], "-h") || !strcmp(argv[1], "--help")) usage(); for (int i=2; i 0.\n"); if (par > 2) JMesh::error("Epsilon angle must be < 2 degrees.\n"); tin.epsilon_angle = par; if (tin.epsilon_angle) { JMesh::acos_tolerance = asin((M_PI*tin.epsilon_angle)/180.0); printf("Fixing asin tolerance to %e\n",JMesh::acos_tolerance); i++; } } else if (!strcmp(argv[i], "-h") || !strcmp(argv[i], "--help")) usage(); else if (!strcmp(argv[i], "--shells")) { if (i= 1.\n"); else i++; } } else if (!strcmp(argv[i], "-w") || !strcmp(argv[i], "--wrl")) save_vrml = true; else if (!strcmp(argv[i], "-s") || !strcmp(argv[i], "--stl")) save_stl = true; else if (!strcmp(argv[i], "--msh")) save_msh = true; else if (!strcmp(argv[i], "--fsmesh")) save_fsmesh = true; else if (!strcmp(argv[i], "-j")) joinOverlappingComponents = true; else if (!strcmp(argv[i], "-u")) { if (i>=argc-1 || (uniformRemeshSteps = atoi(argv[i+1]))<1) JMesh::error("# uniform remesh steps must be >= 1.\n"); i++; } else if (!strcmp(argv[i], "--xshift")) { if (i>=argc-1) JMesh::error("error reading xshift\n"); xshift = (float) atof(argv[i+1]); JMesh::info("xshift set to %f\n",xshift); i++; } else if (!strcmp(argv[i], "--vertices")) { if (i>=argc-1 || (numberOfVertices = atoi(argv[i+1]))<1) JMesh::error("# of vertices must be >= 0.\n"); i++; } else if (!strcmp(argv[i], "--smooth")) { if (i>=argc-1 || (smoothingSteps = atoi(argv[i+1]))<1) JMesh::error("# smoothing steps must be >= 1.\n"); i++; } else if (!strcmp(argv[i], "--cut-outer")) { if (i= 0.\n"); else i++; } } else if (!strcmp(argv[i], "--cut-inner")) { if (i= 0.\n"); else i++; } } else if (!strcmp(argv[i], "--decouple-outout")) { if (i= 0.\n"); else i++; } } else if (!strcmp(argv[i], "--decouple-outin")) { if (i= 0.\n"); else i++; } } else if (!strcmp(argv[i], "--decouple-inin")) { if (i= 0.\n"); else i++; } } else if (!strcmp(argv[i], "--decouple-inin")) { if (i= 0.\n"); else i++; } } else if (!strcmp(argv[i], "--dilate")) { if (i 0.\n"); if (i 0.\n"); } else if (!strcmp(argv[i], "--fineTuneOut")) { if (i 0.\n"); if (i 0.\n"); } else if (!strcmp(argv[i], "--remove-handles")) removeHandles = true; else if (!strcmp(argv[i], "--intersect")) haveIntersectText = true; else if (!strcmp(argv[i], "--no-clean")) clean = false; else if (!strcmp(argv[i], "-jc")) haveJoinClosestComponents = true; else if (!strcmp(argv[i], "-o")) { if (i 1) JMesh::warning("Remove handles works only on single component meshes. Keeping only biggest shell.\n"); if(!tin.removeHandles()) JMesh::warning("Remove handles didn't succeed.\n"); } if (dilateDist != 0.0) { printf("Dilating by %g.\n", dilateDist); tin.dilate(dilateDist); } if (cutOuterMinDist >= 0) { printf("Cutting triangles of the first component away, that are outside of the second one; Fill holes.\n"); if(tin.shells() != 2) JMesh::warning("Incorrect number of components, won't cut. Having %d and should have 2.\n", tin.shells()); else tin.cutFirstWithSecondComponent(cutOuterMinDist, true); } if (cutInnerMinDist >= 0) { printf("Cutting triangles of the first component away, that are inside of the second one; Fill holes.\n"); if(tin.shells() != 2) JMesh::warning("Incorrect number of components, won't cut. Having %d and should have 2.\n", tin.shells()); else tin.cutFirstWithSecondComponent(cutInnerMinDist, false); } if (decoupleOuterOutMinDist >= 0) { if(numberComponentsToKeep == 1) JMesh::warning("Use --shells 2 for decoupling.\n"); printf("Decoupling first (outer) component from second one (move outwards). Min. distance: %g.\n", decoupleOuterOutMinDist); if(tin.shells() != 2) JMesh::warning("Incorrect number of components, won't decouple. Having %d and should have 2.\n", tin.shells()); else tin.decoupleFirstFromSecondComponent(decoupleOuterOutMinDist, 15, true, true); numberComponentsToKeep = 1; // for subsequent cleaning } else if(decoupleOuterInMinDist >= 0) { if(numberComponentsToKeep == 1) JMesh::warning("Use --shells 2 for decoupling.\n"); printf("Decoupling first (outer) component from second one (move inwards). Min. distance: %g.\n", decoupleInnerInMinDist); if(tin.shells() != 2) JMesh::warning("Incorrect number of components, won't decouple. Having %d and should have 2.\n", tin.shells()); else tin.decoupleFirstFromSecondComponent(decoupleOuterInMinDist, 15, true, false); numberComponentsToKeep = 1; // for subsequent cleaning } else if(decoupleInnerInMinDist >= 0) { if(numberComponentsToKeep == 1) JMesh::warning("Use --shells 2 for decoupling.\n"); printf("Decoupling first (inner) component from second one (move inwards). Min. distance: %g.\n", decoupleInnerInMinDist); if(tin.shells() != 2) JMesh::warning("Incorrect number of components, won't decouple. Having %d and should have 2.\n", tin.shells()); else tin.decoupleFirstFromSecondComponent(decoupleInnerInMinDist, 15, false, false); numberComponentsToKeep = 1; // for subsequent cleaning } if (fineTuneIn >=0) { printf("Fine-tuning for later volume meshing ...\n"); if(tin.shells() != 2) JMesh::warning("Incorrect number of components, won't decouple. Having %d and should have 2.\n", tin.shells()); else tin.fineTune(fineTuneIn, nsteps, true); } else if (fineTuneOut >=0) { printf("Fine-tuning for later volume meshing ...\n"); if(tin.shells() != 2) JMesh::warning("Incorrect number of components, won't decouple. Having %d and should have 2.\n", tin.shells()); else tin.fineTune(fineTuneOut, nsteps, false); } if (uniformRemeshSteps) { printf("Uniform remeshing ...\n"); tin.uniformRemesh(uniformRemeshSteps, numberOfVertices, tin.E.numels()); } else if(numberOfVertices) { JMesh::warning("--vertices works only together with -u."); } if(smoothingSteps) { printf("Smoothing %d steps.\n", smoothingSteps); tin.laplacianSmooth(smoothingSteps, 1); } // Run geometry correction if (clean) { printf("Cleaning intersections, degeneracies ...\n"); if (!tin.clean(20, 3, numberComponentsToKeep)) { fprintf(stderr,"MeshFix failed!\n"); fprintf(stderr,"Please try manually using ReMESH: http://remesh.sourceforge.net\n"); FILE *fp = fopen("meshfix_log.txt","a"); fprintf(fp,"MeshFix failed on %s\n", input_filename); fclose(fp); } } if (haveIntersectText) { printf("Testing for intersections ...\n"); tin.deselectTriangles(); int its = tin.selectIntersectingTriangles(); if(haveOutputFile) tin.saveMSH(outputFile); if(its) return 0; return 1; } char *fname = createFilename( haveOutputFile ? outputFile : argv[1], haveOutputFile ? "": "_fixed", (save_vrml? ".wrl" : (save_stl? ".stl": (save_msh? ".msh" : (save_fsmesh? ".fsmesh" : ".off")))), !haveOutputFile); printf("Saving output mesh to '%s'\n",fname); if (save_vrml) tin.saveVRML1(fname); else if (save_stl) tin.saveSTL(fname); else if (save_msh) tin.saveMSH(fname); else if (save_fsmesh) tin.saveFSMESH(fname,xshift); else tin.saveOFF(fname); return 0; } octave-iso2mesh-1.9.6+ds/meshfix/contrib/0000755001356000007640000000000013673436411017230 5ustar fangqadminoctave-iso2mesh-1.9.6+ds/meshfix/contrib/jrs_predicates/0000755001356000007640000000000013673436411022231 5ustar fangqadminoctave-iso2mesh-1.9.6+ds/meshfix/contrib/jrs_predicates/jrs_predicates.c0000644001356000007640000047521213673436411025411 0ustar fangqadmin/*****************************************************************************/ /* */ /* Routines for Arbitrary Precision Floating-point Arithmetic */ /* and Fast Robust Geometric Predicates */ /* (predicates.c) */ /* */ /* May 18, 1996 */ /* */ /* Placed in the public domain by */ /* Jonathan Richard Shewchuk */ /* School of Computer Science */ /* Carnegie Mellon University */ /* 5000 Forbes Avenue */ /* Pittsburgh, Pennsylvania 15213-3891 */ /* jrs@cs.cmu.edu */ /* */ /* This file contains C implementation of algorithms for exact addition */ /* and multiplication of floating-point numbers, and predicates for */ /* robustly performing the orientation and incircle tests used in */ /* computational geometry. The algorithms and underlying theory are */ /* described in Jonathan Richard Shewchuk. "Adaptive Precision Floating- */ /* Point Arithmetic and Fast Robust Geometric Predicates." Technical */ /* Report CMU-CS-96-140, School of Computer Science, Carnegie Mellon */ /* University, Pittsburgh, Pennsylvania, May 1996. (Submitted to */ /* Discrete & Computational Geometry.) */ /* */ /* This file, the paper listed above, and other information are available */ /* from the Web page http://www.cs.cmu.edu/~quake/robust.html . */ /* */ /*****************************************************************************/ /*****************************************************************************/ /* */ /* Using this code: */ /* */ /* First, read the short or long version of the paper (from the Web page */ /* above). */ /* */ /* Be sure to call exactinit() once, before calling any of the arithmetic */ /* functions or geometric predicates. Also be sure to turn on the */ /* optimizer when compiling this file. */ /* */ /* */ /* Several geometric predicates are defined. Their parameters are all */ /* points. Each point is an array of two or three floating-point */ /* numbers. The geometric predicates, described in the papers, are */ /* */ /* orient2d(pa, pb, pc) */ /* orient2dfast(pa, pb, pc) */ /* orient3d(pa, pb, pc, pd) */ /* orient3dfast(pa, pb, pc, pd) */ /* incircle(pa, pb, pc, pd) */ /* incirclefast(pa, pb, pc, pd) */ /* insphere(pa, pb, pc, pd, pe) */ /* inspherefast(pa, pb, pc, pd, pe) */ /* */ /* Those with suffix "fast" are approximate, non-robust versions. Those */ /* without the suffix are adaptive precision, robust versions. There */ /* are also versions with the suffices "exact" and "slow", which are */ /* non-adaptive, exact arithmetic versions, which I use only for timings */ /* in my arithmetic papers. */ /* */ /* */ /* An expansion is represented by an array of floating-point numbers, */ /* sorted from smallest to largest magnitude (possibly with interspersed */ /* zeros). The length of each expansion is stored as a separate integer, */ /* and each arithmetic function returns an integer which is the length */ /* of the expansion it created. */ /* */ /* Several arithmetic functions are defined. Their parameters are */ /* */ /* e, f Input expansions */ /* elen, flen Lengths of input expansions (must be >= 1) */ /* h Output expansion */ /* b Input scalar */ /* */ /* The arithmetic functions are */ /* */ /* grow_expansion(elen, e, b, h) */ /* grow_expansion_zeroelim(elen, e, b, h) */ /* expansion_sum(elen, e, flen, f, h) */ /* expansion_sum_zeroelim1(elen, e, flen, f, h) */ /* expansion_sum_zeroelim2(elen, e, flen, f, h) */ /* fast_expansion_sum(elen, e, flen, f, h) */ /* fast_expansion_sum_zeroelim(elen, e, flen, f, h) */ /* linear_expansion_sum(elen, e, flen, f, h) */ /* linear_expansion_sum_zeroelim(elen, e, flen, f, h) */ /* scale_expansion(elen, e, b, h) */ /* scale_expansion_zeroelim(elen, e, b, h) */ /* compress(elen, e, h) */ /* */ /* All of these are described in the long version of the paper; some are */ /* described in the short version. All return an integer that is the */ /* length of h. Those with suffix _zeroelim perform zero elimination, */ /* and are recommended over their counterparts. The procedure */ /* fast_expansion_sum_zeroelim() (or linear_expansion_sum_zeroelim() on */ /* processors that do not use the round-to-even tiebreaking rule) is */ /* recommended over expansion_sum_zeroelim(). Each procedure has a */ /* little note next to it (in the code below) that tells you whether or */ /* not the output expansion may be the same array as one of the input */ /* expansions. */ /* */ /* */ /* If you look around below, you'll also find macros for a bunch of */ /* simple unrolled arithmetic operations, and procedures for printing */ /* expansions (commented out because they don't work with all C */ /* compilers) and for generating random floating-point numbers whose */ /* significand bits are all random. Most of the macros have undocumented */ /* requirements that certain of their parameters should not be the same */ /* variable; for safety, better to make sure all the parameters are */ /* distinct variables. Feel free to send email to jrs@cs.cmu.edu if you */ /* have questions. */ /* */ /*****************************************************************************/ #include #include #include #include #include "jrs_predicates.h" REAL splitter; /* = 2^ceiling(p / 2) + 1. Used to split floats in half. */ REAL epsilon; /* = 2^(-p). Used to estimate roundoff errors. */ REAL resulterrbound,ccwerrboundA,ccwerrboundB,ccwerrboundC, o3derrboundA,o3derrboundB,o3derrboundC,iccerrboundA,iccerrboundB, iccerrboundC,isperrboundA,isperrboundB,isperrboundC; /*****************************************************************************/ /* */ /* doubleprint() Print the bit representation of a double. */ /* */ /* Useful for debugging exact arithmetic routines. */ /* */ /*****************************************************************************/ /* void doubleprint(number) double number; { unsigned long long no; unsigned long long sign, expo; int exponent; int i, bottomi; no = *(unsigned long long *) &number; sign = no & 0x8000000000000000ll; expo = (no >> 52) & 0x7ffll; exponent = (int) expo; exponent = exponent - 1023; if (sign) { printf("-"); } else { printf(" "); } if (exponent == -1023) { printf( "0.0000000000000000000000000000000000000000000000000000_ ( )"); } else { printf("1."); bottomi = -1; for (i = 0; i < 52; i++) { if (no & 0x0008000000000000ll) { printf("1"); bottomi = i; } else { printf("0"); } no <<= 1; } printf("_%d (%d)", exponent, exponent - 1 - bottomi); } } */ /*****************************************************************************/ /* */ /* floatprint() Print the bit representation of a float. */ /* */ /* Useful for debugging exact arithmetic routines. */ /* */ /*****************************************************************************/ /* void floatprint(number) float number; { unsigned no; unsigned sign, expo; int exponent; int i, bottomi; no = *(unsigned *) &number; sign = no & 0x80000000; expo = (no >> 23) & 0xff; exponent = (int) expo; exponent = exponent - 127; if (sign) { printf("-"); } else { printf(" "); } if (exponent == -127) { printf("0.00000000000000000000000_ ( )"); } else { printf("1."); bottomi = -1; for (i = 0; i < 23; i++) { if (no & 0x00400000) { printf("1"); bottomi = i; } else { printf("0"); } no <<= 1; } printf("_%3d (%3d)", exponent, exponent - 1 - bottomi); } } */ /*****************************************************************************/ /* */ /* expansion_print() Print the bit representation of an expansion. */ /* */ /* Useful for debugging exact arithmetic routines. */ /* */ /*****************************************************************************/ /* void expansion_print(elen, e) int elen; REAL *e; { int i; for (i = elen - 1; i >= 0; i--) { REALPRINT(e[i]); if (i > 0) { printf(" +\n"); } else { printf("\n"); } } } */ /*****************************************************************************/ /* */ /* doublerand() Generate a double with random 53-bit significand and a */ /* random exponent in [0, 511]. */ /* */ /*****************************************************************************/ double doublerand() { double result; double expo; long a, b, c; long i; a = random(); b = random(); c = random(); result = (double) (a - 1073741824) * 8388608.0 + (double) (b >> 8); for (i = 512, expo = 2; i <= 131072; i *= 2, expo = expo * expo) { if (c & i) { result *= expo; } } return result; } /*****************************************************************************/ /* */ /* narrowdoublerand() Generate a double with random 53-bit significand */ /* and a random exponent in [0, 7]. */ /* */ /*****************************************************************************/ double narrowdoublerand() { double result; double expo; long a, b, c; long i; a = random(); b = random(); c = random(); result = (double) (a - 1073741824) * 8388608.0 + (double) (b >> 8); for (i = 512, expo = 2; i <= 2048; i *= 2, expo = expo * expo) { if (c & i) { result *= expo; } } return result; } /*****************************************************************************/ /* */ /* uniformdoublerand() Generate a double with random 53-bit significand. */ /* */ /*****************************************************************************/ double uniformdoublerand() { double result; long a, b; a = random(); b = random(); result = (double) (a - 1073741824) * 8388608.0 + (double) (b >> 8); return result; } /*****************************************************************************/ /* */ /* floatrand() Generate a float with random 24-bit significand and a */ /* random exponent in [0, 63]. */ /* */ /*****************************************************************************/ float floatrand() { float result; float expo; long a, c; long i; a = random(); c = random(); result = (float) ((a - 1073741824) >> 6); for (i = 512, expo = 2; i <= 16384; i *= 2, expo = expo * expo) { if (c & i) { result *= expo; } } return result; } /*****************************************************************************/ /* */ /* narrowfloatrand() Generate a float with random 24-bit significand and */ /* a random exponent in [0, 7]. */ /* */ /*****************************************************************************/ float narrowfloatrand() { float result; float expo; long a, c; long i; a = random(); c = random(); result = (float) ((a - 1073741824) >> 6); for (i = 512, expo = 2; i <= 2048; i *= 2, expo = expo * expo) { if (c & i) { result *= expo; } } return result; } /*****************************************************************************/ /* */ /* uniformfloatrand() Generate a float with random 24-bit significand. */ /* */ /*****************************************************************************/ float uniformfloatrand() { float result; long a; a = random(); result = (float) ((a - 1073741824) >> 6); return result; } /*****************************************************************************/ /* */ /* exactinit() Initialize the variables used for exact arithmetic. */ /* */ /* `epsilon' is the largest power of two such that 1.0 + epsilon = 1.0 in */ /* floating-point arithmetic. `epsilon' bounds the relative roundoff */ /* error. It is used for floating-point error analysis. */ /* */ /* `splitter' is used to split floating-point numbers into two half- */ /* length significands for exact multiplication. */ /* */ /* I imagine that a highly optimizing compiler might be too smart for its */ /* own good, and somehow cause this routine to fail, if it pretends that */ /* floating-point arithmetic is too much like real arithmetic. */ /* */ /* Don't change this routine unless you fully understand it. */ /* */ /*****************************************************************************/ void exactinit() { REAL half; REAL check, lastcheck; int every_other; every_other = 1; half = 0.5; epsilon = 1.0; splitter = 1.0; check = 1.0; /* Repeatedly divide `epsilon' by two until it is too small to add to */ /* one without causing roundoff. (Also check if the sum is equal to */ /* the previous sum, for machines that round up instead of using exact */ /* rounding. Not that this library will work on such machines anyway. */ do { lastcheck = check; epsilon *= half; if (every_other) { splitter *= 2.0; } every_other = !every_other; check = 1.0 + epsilon; } while ((check != 1.0) && (check != lastcheck)); splitter += 1.0; /* Error bounds for orientation and incircle tests. */ resulterrbound = (3.0 + 8.0 * epsilon) * epsilon; ccwerrboundA = (3.0 + 16.0 * epsilon) * epsilon; ccwerrboundB = (2.0 + 12.0 * epsilon) * epsilon; ccwerrboundC = (9.0 + 64.0 * epsilon) * epsilon * epsilon; o3derrboundA = (7.0 + 56.0 * epsilon) * epsilon; o3derrboundB = (3.0 + 28.0 * epsilon) * epsilon; o3derrboundC = (26.0 + 288.0 * epsilon) * epsilon * epsilon; iccerrboundA = (10.0 + 96.0 * epsilon) * epsilon; iccerrboundB = (4.0 + 48.0 * epsilon) * epsilon; iccerrboundC = (44.0 + 576.0 * epsilon) * epsilon * epsilon; isperrboundA = (16.0 + 224.0 * epsilon) * epsilon; isperrboundB = (5.0 + 72.0 * epsilon) * epsilon; isperrboundC = (71.0 + 1408.0 * epsilon) * epsilon * epsilon; } /*****************************************************************************/ /* */ /* grow_expansion() Add a scalar to an expansion. */ /* */ /* Sets h = e + b. See the long version of my paper for details. */ /* */ /* Maintains the nonoverlapping property. If round-to-even is used (as */ /* with IEEE 754), maintains the strongly nonoverlapping and nonadjacent */ /* properties as well. (That is, if e has one of these properties, so */ /* will h.) */ /* */ /*****************************************************************************/ int grow_expansion(elen, e, b, h) /* e and h can be the same. */ int elen; REAL *e; REAL b; REAL *h; { REAL Q; INEXACT REAL Qnew; int eindex; REAL enow; INEXACT REAL bvirt; REAL avirt, bround, around; Q = b; for (eindex = 0; eindex < elen; eindex++) { enow = e[eindex]; Two_Sum(Q, enow, Qnew, h[eindex]); Q = Qnew; } h[eindex] = Q; return eindex + 1; } /*****************************************************************************/ /* */ /* grow_expansion_zeroelim() Add a scalar to an expansion, eliminating */ /* zero components from the output expansion. */ /* */ /* Sets h = e + b. See the long version of my paper for details. */ /* */ /* Maintains the nonoverlapping property. If round-to-even is used (as */ /* with IEEE 754), maintains the strongly nonoverlapping and nonadjacent */ /* properties as well. (That is, if e has one of these properties, so */ /* will h.) */ /* */ /*****************************************************************************/ int grow_expansion_zeroelim(elen, e, b, h) /* e and h can be the same. */ int elen; REAL *e; REAL b; REAL *h; { REAL Q, hh; INEXACT REAL Qnew; int eindex, hindex; REAL enow; INEXACT REAL bvirt; REAL avirt, bround, around; hindex = 0; Q = b; for (eindex = 0; eindex < elen; eindex++) { enow = e[eindex]; Two_Sum(Q, enow, Qnew, hh); Q = Qnew; if (hh != 0.0) { h[hindex++] = hh; } } if ((Q != 0.0) || (hindex == 0)) { h[hindex++] = Q; } return hindex; } /*****************************************************************************/ /* */ /* expansion_sum() Sum two expansions. */ /* */ /* Sets h = e + f. See the long version of my paper for details. */ /* */ /* Maintains the nonoverlapping property. If round-to-even is used (as */ /* with IEEE 754), maintains the nonadjacent property as well. (That is, */ /* if e has one of these properties, so will h.) Does NOT maintain the */ /* strongly nonoverlapping property. */ /* */ /*****************************************************************************/ int expansion_sum(elen, e, flen, f, h) /* e and h can be the same, but f and h cannot. */ int elen; REAL *e; int flen; REAL *f; REAL *h; { REAL Q; INEXACT REAL Qnew; int findex, hindex, hlast; REAL hnow; INEXACT REAL bvirt; REAL avirt, bround, around; Q = f[0]; for (hindex = 0; hindex < elen; hindex++) { hnow = e[hindex]; Two_Sum(Q, hnow, Qnew, h[hindex]); Q = Qnew; } h[hindex] = Q; hlast = hindex; for (findex = 1; findex < flen; findex++) { Q = f[findex]; for (hindex = findex; hindex <= hlast; hindex++) { hnow = h[hindex]; Two_Sum(Q, hnow, Qnew, h[hindex]); Q = Qnew; } h[++hlast] = Q; } return hlast + 1; } /*****************************************************************************/ /* */ /* expansion_sum_zeroelim1() Sum two expansions, eliminating zero */ /* components from the output expansion. */ /* */ /* Sets h = e + f. See the long version of my paper for details. */ /* */ /* Maintains the nonoverlapping property. If round-to-even is used (as */ /* with IEEE 754), maintains the nonadjacent property as well. (That is, */ /* if e has one of these properties, so will h.) Does NOT maintain the */ /* strongly nonoverlapping property. */ /* */ /*****************************************************************************/ int expansion_sum_zeroelim1(elen, e, flen, f, h) /* e and h can be the same, but f and h cannot. */ int elen; REAL *e; int flen; REAL *f; REAL *h; { REAL Q; INEXACT REAL Qnew; int index, findex, hindex, hlast; REAL hnow; INEXACT REAL bvirt; REAL avirt, bround, around; Q = f[0]; for (hindex = 0; hindex < elen; hindex++) { hnow = e[hindex]; Two_Sum(Q, hnow, Qnew, h[hindex]); Q = Qnew; } h[hindex] = Q; hlast = hindex; for (findex = 1; findex < flen; findex++) { Q = f[findex]; for (hindex = findex; hindex <= hlast; hindex++) { hnow = h[hindex]; Two_Sum(Q, hnow, Qnew, h[hindex]); Q = Qnew; } h[++hlast] = Q; } hindex = -1; for (index = 0; index <= hlast; index++) { hnow = h[index]; if (hnow != 0.0) { h[++hindex] = hnow; } } if (hindex == -1) { return 1; } else { return hindex + 1; } } /*****************************************************************************/ /* */ /* expansion_sum_zeroelim2() Sum two expansions, eliminating zero */ /* components from the output expansion. */ /* */ /* Sets h = e + f. See the long version of my paper for details. */ /* */ /* Maintains the nonoverlapping property. If round-to-even is used (as */ /* with IEEE 754), maintains the nonadjacent property as well. (That is, */ /* if e has one of these properties, so will h.) Does NOT maintain the */ /* strongly nonoverlapping property. */ /* */ /*****************************************************************************/ int expansion_sum_zeroelim2(elen, e, flen, f, h) /* e and h can be the same, but f and h cannot. */ int elen; REAL *e; int flen; REAL *f; REAL *h; { REAL Q, hh; INEXACT REAL Qnew; int eindex, findex, hindex, hlast; REAL enow; INEXACT REAL bvirt; REAL avirt, bround, around; hindex = 0; Q = f[0]; for (eindex = 0; eindex < elen; eindex++) { enow = e[eindex]; Two_Sum(Q, enow, Qnew, hh); Q = Qnew; if (hh != 0.0) { h[hindex++] = hh; } } h[hindex] = Q; hlast = hindex; for (findex = 1; findex < flen; findex++) { hindex = 0; Q = f[findex]; for (eindex = 0; eindex <= hlast; eindex++) { enow = h[eindex]; Two_Sum(Q, enow, Qnew, hh); Q = Qnew; if (hh != 0) { h[hindex++] = hh; } } h[hindex] = Q; hlast = hindex; } return hlast + 1; } /*****************************************************************************/ /* */ /* fast_expansion_sum() Sum two expansions. */ /* */ /* Sets h = e + f. See the long version of my paper for details. */ /* */ /* If round-to-even is used (as with IEEE 754), maintains the strongly */ /* nonoverlapping property. (That is, if e is strongly nonoverlapping, h */ /* will be also.) Does NOT maintain the nonoverlapping or nonadjacent */ /* properties. */ /* */ /*****************************************************************************/ int fast_expansion_sum(elen, e, flen, f, h) /* h cannot be e or f. */ int elen; REAL *e; int flen; REAL *f; REAL *h; { REAL Q; INEXACT REAL Qnew; INEXACT REAL bvirt; REAL avirt, bround, around; int eindex, findex, hindex; REAL enow, fnow; enow = e[0]; fnow = f[0]; eindex = findex = 0; if ((fnow > enow) == (fnow > -enow)) { Q = enow; enow = e[++eindex]; } else { Q = fnow; fnow = f[++findex]; } hindex = 0; if ((eindex < elen) && (findex < flen)) { if ((fnow > enow) == (fnow > -enow)) { Fast_Two_Sum(enow, Q, Qnew, h[0]); enow = e[++eindex]; } else { Fast_Two_Sum(fnow, Q, Qnew, h[0]); fnow = f[++findex]; } Q = Qnew; hindex = 1; while ((eindex < elen) && (findex < flen)) { if ((fnow > enow) == (fnow > -enow)) { Two_Sum(Q, enow, Qnew, h[hindex]); enow = e[++eindex]; } else { Two_Sum(Q, fnow, Qnew, h[hindex]); fnow = f[++findex]; } Q = Qnew; hindex++; } } while (eindex < elen) { Two_Sum(Q, enow, Qnew, h[hindex]); enow = e[++eindex]; Q = Qnew; hindex++; } while (findex < flen) { Two_Sum(Q, fnow, Qnew, h[hindex]); fnow = f[++findex]; Q = Qnew; hindex++; } h[hindex] = Q; return hindex + 1; } /*****************************************************************************/ /* */ /* fast_expansion_sum_zeroelim() Sum two expansions, eliminating zero */ /* components from the output expansion. */ /* */ /* Sets h = e + f. See the long version of my paper for details. */ /* */ /* If round-to-even is used (as with IEEE 754), maintains the strongly */ /* nonoverlapping property. (That is, if e is strongly nonoverlapping, h */ /* will be also.) Does NOT maintain the nonoverlapping or nonadjacent */ /* properties. */ /* */ /*****************************************************************************/ int fast_expansion_sum_zeroelim(elen, e, flen, f, h) /* h cannot be e or f. */ int elen; REAL *e; int flen; REAL *f; REAL *h; { REAL Q; INEXACT REAL Qnew; INEXACT REAL hh; INEXACT REAL bvirt; REAL avirt, bround, around; int eindex, findex, hindex; REAL enow, fnow; enow = e[0]; fnow = f[0]; eindex = findex = 0; if ((fnow > enow) == (fnow > -enow)) { Q = enow; enow = e[++eindex]; } else { Q = fnow; fnow = f[++findex]; } hindex = 0; if ((eindex < elen) && (findex < flen)) { if ((fnow > enow) == (fnow > -enow)) { Fast_Two_Sum(enow, Q, Qnew, hh); enow = e[++eindex]; } else { Fast_Two_Sum(fnow, Q, Qnew, hh); fnow = f[++findex]; } Q = Qnew; if (hh != 0.0) { h[hindex++] = hh; } while ((eindex < elen) && (findex < flen)) { if ((fnow > enow) == (fnow > -enow)) { Two_Sum(Q, enow, Qnew, hh); enow = e[++eindex]; } else { Two_Sum(Q, fnow, Qnew, hh); fnow = f[++findex]; } Q = Qnew; if (hh != 0.0) { h[hindex++] = hh; } } } while (eindex < elen) { Two_Sum(Q, enow, Qnew, hh); enow = e[++eindex]; Q = Qnew; if (hh != 0.0) { h[hindex++] = hh; } } while (findex < flen) { Two_Sum(Q, fnow, Qnew, hh); fnow = f[++findex]; Q = Qnew; if (hh != 0.0) { h[hindex++] = hh; } } if ((Q != 0.0) || (hindex == 0)) { h[hindex++] = Q; } return hindex; } /*****************************************************************************/ /* */ /* linear_expansion_sum() Sum two expansions. */ /* */ /* Sets h = e + f. See either version of my paper for details. */ /* */ /* Maintains the nonoverlapping property. (That is, if e is */ /* nonoverlapping, h will be also.) */ /* */ /*****************************************************************************/ int linear_expansion_sum(elen, e, flen, f, h) /* h cannot be e or f. */ int elen; REAL *e; int flen; REAL *f; REAL *h; { REAL Q, q; INEXACT REAL Qnew; INEXACT REAL R; INEXACT REAL bvirt; REAL avirt, bround, around; int eindex, findex, hindex; REAL enow, fnow; REAL g0; enow = e[0]; fnow = f[0]; eindex = findex = 0; if ((fnow > enow) == (fnow > -enow)) { g0 = enow; enow = e[++eindex]; } else { g0 = fnow; fnow = f[++findex]; } if ((eindex < elen) && ((findex >= flen) || ((fnow > enow) == (fnow > -enow)))) { Fast_Two_Sum(enow, g0, Qnew, q); enow = e[++eindex]; } else { Fast_Two_Sum(fnow, g0, Qnew, q); fnow = f[++findex]; } Q = Qnew; for (hindex = 0; hindex < elen + flen - 2; hindex++) { if ((eindex < elen) && ((findex >= flen) || ((fnow > enow) == (fnow > -enow)))) { Fast_Two_Sum(enow, q, R, h[hindex]); enow = e[++eindex]; } else { Fast_Two_Sum(fnow, q, R, h[hindex]); fnow = f[++findex]; } Two_Sum(Q, R, Qnew, q); Q = Qnew; } h[hindex] = q; h[hindex + 1] = Q; return hindex + 2; } /*****************************************************************************/ /* */ /* linear_expansion_sum_zeroelim() Sum two expansions, eliminating zero */ /* components from the output expansion. */ /* */ /* Sets h = e + f. See either version of my paper for details. */ /* */ /* Maintains the nonoverlapping property. (That is, if e is */ /* nonoverlapping, h will be also.) */ /* */ /*****************************************************************************/ int linear_expansion_sum_zeroelim(elen, e, flen, f, h)/* h cannot be e or f. */ int elen; REAL *e; int flen; REAL *f; REAL *h; { REAL Q, q, hh; INEXACT REAL Qnew; INEXACT REAL R; INEXACT REAL bvirt; REAL avirt, bround, around; int eindex, findex, hindex; int count; REAL enow, fnow; REAL g0; enow = e[0]; fnow = f[0]; eindex = findex = 0; hindex = 0; if ((fnow > enow) == (fnow > -enow)) { g0 = enow; enow = e[++eindex]; } else { g0 = fnow; fnow = f[++findex]; } if ((eindex < elen) && ((findex >= flen) || ((fnow > enow) == (fnow > -enow)))) { Fast_Two_Sum(enow, g0, Qnew, q); enow = e[++eindex]; } else { Fast_Two_Sum(fnow, g0, Qnew, q); fnow = f[++findex]; } Q = Qnew; for (count = 2; count < elen + flen; count++) { if ((eindex < elen) && ((findex >= flen) || ((fnow > enow) == (fnow > -enow)))) { Fast_Two_Sum(enow, q, R, hh); enow = e[++eindex]; } else { Fast_Two_Sum(fnow, q, R, hh); fnow = f[++findex]; } Two_Sum(Q, R, Qnew, q); Q = Qnew; if (hh != 0) { h[hindex++] = hh; } } if (q != 0) { h[hindex++] = q; } if ((Q != 0.0) || (hindex == 0)) { h[hindex++] = Q; } return hindex; } /*****************************************************************************/ /* */ /* scale_expansion() Multiply an expansion by a scalar. */ /* */ /* Sets h = be. See either version of my paper for details. */ /* */ /* Maintains the nonoverlapping property. If round-to-even is used (as */ /* with IEEE 754), maintains the strongly nonoverlapping and nonadjacent */ /* properties as well. (That is, if e has one of these properties, so */ /* will h.) */ /* */ /*****************************************************************************/ int scale_expansion(elen, e, b, h) /* e and h cannot be the same. */ int elen; REAL *e; REAL b; REAL *h; { INEXACT REAL Q; INEXACT REAL sum; INEXACT REAL product1; REAL product0; int eindex, hindex; REAL enow; INEXACT REAL bvirt; REAL avirt, bround, around; INEXACT REAL c; INEXACT REAL abig; REAL ahi, alo, bhi, blo; REAL err1, err2, err3; Split(b, bhi, blo); Two_Product_Presplit(e[0], b, bhi, blo, Q, h[0]); hindex = 1; for (eindex = 1; eindex < elen; eindex++) { enow = e[eindex]; Two_Product_Presplit(enow, b, bhi, blo, product1, product0); Two_Sum(Q, product0, sum, h[hindex]); hindex++; Two_Sum(product1, sum, Q, h[hindex]); hindex++; } h[hindex] = Q; return elen + elen; } /*****************************************************************************/ /* */ /* scale_expansion_zeroelim() Multiply an expansion by a scalar, */ /* eliminating zero components from the */ /* output expansion. */ /* */ /* Sets h = be. See either version of my paper for details. */ /* */ /* Maintains the nonoverlapping property. If round-to-even is used (as */ /* with IEEE 754), maintains the strongly nonoverlapping and nonadjacent */ /* properties as well. (That is, if e has one of these properties, so */ /* will h.) */ /* */ /*****************************************************************************/ int scale_expansion_zeroelim(elen, e, b, h) /* e and h cannot be the same. */ int elen; REAL *e; REAL b; REAL *h; { INEXACT REAL Q, sum; REAL hh; INEXACT REAL product1; REAL product0; int eindex, hindex; REAL enow; INEXACT REAL bvirt; REAL avirt, bround, around; INEXACT REAL c; INEXACT REAL abig; REAL ahi, alo, bhi, blo; REAL err1, err2, err3; Split(b, bhi, blo); Two_Product_Presplit(e[0], b, bhi, blo, Q, hh); hindex = 0; if (hh != 0) { h[hindex++] = hh; } for (eindex = 1; eindex < elen; eindex++) { enow = e[eindex]; Two_Product_Presplit(enow, b, bhi, blo, product1, product0); Two_Sum(Q, product0, sum, hh); if (hh != 0) { h[hindex++] = hh; } Fast_Two_Sum(product1, sum, Q, hh); if (hh != 0) { h[hindex++] = hh; } } if ((Q != 0.0) || (hindex == 0)) { h[hindex++] = Q; } return hindex; } /*****************************************************************************/ /* */ /* compress() Compress an expansion. */ /* */ /* See the long version of my paper for details. */ /* */ /* Maintains the nonoverlapping property. If round-to-even is used (as */ /* with IEEE 754), then any nonoverlapping expansion is converted to a */ /* nonadjacent expansion. */ /* */ /*****************************************************************************/ int compress(elen, e, h) /* e and h may be the same. */ int elen; REAL *e; REAL *h; { REAL Q, q; INEXACT REAL Qnew; int eindex, hindex; INEXACT REAL bvirt; REAL enow, hnow; int top, bottom; bottom = elen - 1; Q = e[bottom]; for (eindex = elen - 2; eindex >= 0; eindex--) { enow = e[eindex]; Fast_Two_Sum(Q, enow, Qnew, q); if (q != 0) { h[bottom--] = Qnew; Q = q; } else { Q = Qnew; } } top = 0; for (hindex = bottom + 1; hindex < elen; hindex++) { hnow = h[hindex]; Fast_Two_Sum(hnow, Q, Qnew, q); if (q != 0) { h[top++] = q; } Q = Qnew; } h[top] = Q; return top + 1; } /*****************************************************************************/ /* */ /* estimate() Produce a one-word estimate of an expansion's value. */ /* */ /* See either version of my paper for details. */ /* */ /*****************************************************************************/ REAL estimate(elen, e) int elen; REAL *e; { REAL Q; int eindex; Q = e[0]; for (eindex = 1; eindex < elen; eindex++) { Q += e[eindex]; } return Q; } /*****************************************************************************/ /* */ /* orient2dfast() Approximate 2D orientation test. Nonrobust. */ /* orient2dexact() Exact 2D orientation test. Robust. */ /* orient2dslow() Another exact 2D orientation test. Robust. */ /* orient2d() Adaptive exact 2D orientation test. Robust. */ /* */ /* Return a positive value if the points pa, pb, and pc occur */ /* in counterclockwise order; a negative value if they occur */ /* in clockwise order; and zero if they are collinear. The */ /* result is also a rough approximation of twice the signed */ /* area of the triangle defined by the three points. */ /* */ /* Only the first and last routine should be used; the middle two are for */ /* timings. */ /* */ /* The last three use exact arithmetic to ensure a correct answer. The */ /* result returned is the determinant of a matrix. In orient2d() only, */ /* this determinant is computed adaptively, in the sense that exact */ /* arithmetic is used only to the degree it is needed to ensure that the */ /* returned value has the correct sign. Hence, orient2d() is usually quite */ /* fast, but will run more slowly when the input points are collinear or */ /* nearly so. */ /* */ /*****************************************************************************/ REAL orient2dfast(pa, pb, pc) REAL *pa; REAL *pb; REAL *pc; { REAL acx, bcx, acy, bcy; acx = pa[0] - pc[0]; bcx = pb[0] - pc[0]; acy = pa[1] - pc[1]; bcy = pb[1] - pc[1]; return acx * bcy - acy * bcx; } REAL orient2dexact(pa, pb, pc) REAL *pa; REAL *pb; REAL *pc; { INEXACT REAL axby1, axcy1, bxcy1, bxay1, cxay1, cxby1; REAL axby0, axcy0, bxcy0, bxay0, cxay0, cxby0; REAL aterms[4], bterms[4], cterms[4]; INEXACT REAL aterms3, bterms3, cterms3; REAL v[8], w[12]; int vlength, wlength; INEXACT REAL bvirt; REAL avirt, bround, around; INEXACT REAL c; INEXACT REAL abig; REAL ahi, alo, bhi, blo; REAL err1, err2, err3; INEXACT REAL _i, _j; REAL _0; Two_Product(pa[0], pb[1], axby1, axby0); Two_Product(pa[0], pc[1], axcy1, axcy0); Two_Two_Diff(axby1, axby0, axcy1, axcy0, aterms3, aterms[2], aterms[1], aterms[0]); aterms[3] = aterms3; Two_Product(pb[0], pc[1], bxcy1, bxcy0); Two_Product(pb[0], pa[1], bxay1, bxay0); Two_Two_Diff(bxcy1, bxcy0, bxay1, bxay0, bterms3, bterms[2], bterms[1], bterms[0]); bterms[3] = bterms3; Two_Product(pc[0], pa[1], cxay1, cxay0); Two_Product(pc[0], pb[1], cxby1, cxby0); Two_Two_Diff(cxay1, cxay0, cxby1, cxby0, cterms3, cterms[2], cterms[1], cterms[0]); cterms[3] = cterms3; vlength = fast_expansion_sum_zeroelim(4, aterms, 4, bterms, v); wlength = fast_expansion_sum_zeroelim(vlength, v, 4, cterms, w); return w[wlength - 1]; } REAL orient2dslow(pa, pb, pc) REAL *pa; REAL *pb; REAL *pc; { INEXACT REAL acx, acy, bcx, bcy; REAL acxtail, acytail; REAL bcxtail, bcytail; REAL negate, negatetail; REAL axby[8], bxay[8]; INEXACT REAL axby7, bxay7; REAL deter[16]; int deterlen; INEXACT REAL bvirt; REAL avirt, bround, around; INEXACT REAL c; INEXACT REAL abig; REAL a0hi, a0lo, a1hi, a1lo, bhi, blo; REAL err1, err2, err3; INEXACT REAL _i, _j, _k, _l, _m, _n; REAL _0, _1, _2; Two_Diff(pa[0], pc[0], acx, acxtail); Two_Diff(pa[1], pc[1], acy, acytail); Two_Diff(pb[0], pc[0], bcx, bcxtail); Two_Diff(pb[1], pc[1], bcy, bcytail); Two_Two_Product(acx, acxtail, bcy, bcytail, axby7, axby[6], axby[5], axby[4], axby[3], axby[2], axby[1], axby[0]); axby[7] = axby7; negate = -acy; negatetail = -acytail; Two_Two_Product(bcx, bcxtail, negate, negatetail, bxay7, bxay[6], bxay[5], bxay[4], bxay[3], bxay[2], bxay[1], bxay[0]); bxay[7] = bxay7; deterlen = fast_expansion_sum_zeroelim(8, axby, 8, bxay, deter); return deter[deterlen - 1]; } REAL orient2dadapt(pa, pb, pc, detsum) REAL *pa; REAL *pb; REAL *pc; REAL detsum; { INEXACT REAL acx, acy, bcx, bcy; REAL acxtail, acytail, bcxtail, bcytail; INEXACT REAL detleft, detright; REAL detlefttail, detrighttail; REAL det, errbound; REAL B[4], C1[8], C2[12], D[16]; INEXACT REAL B3; int C1length, C2length, Dlength; REAL u[4]; INEXACT REAL u3; INEXACT REAL s1, t1; REAL s0, t0; INEXACT REAL bvirt; REAL avirt, bround, around; INEXACT REAL c; INEXACT REAL abig; REAL ahi, alo, bhi, blo; REAL err1, err2, err3; INEXACT REAL _i, _j; REAL _0; acx = (REAL) (pa[0] - pc[0]); bcx = (REAL) (pb[0] - pc[0]); acy = (REAL) (pa[1] - pc[1]); bcy = (REAL) (pb[1] - pc[1]); Two_Product(acx, bcy, detleft, detlefttail); Two_Product(acy, bcx, detright, detrighttail); Two_Two_Diff(detleft, detlefttail, detright, detrighttail, B3, B[2], B[1], B[0]); B[3] = B3; det = estimate(4, B); errbound = ccwerrboundB * detsum; if ((det >= errbound) || (-det >= errbound)) { return det; } Two_Diff_Tail(pa[0], pc[0], acx, acxtail); Two_Diff_Tail(pb[0], pc[0], bcx, bcxtail); Two_Diff_Tail(pa[1], pc[1], acy, acytail); Two_Diff_Tail(pb[1], pc[1], bcy, bcytail); if ((acxtail == 0.0) && (acytail == 0.0) && (bcxtail == 0.0) && (bcytail == 0.0)) { return det; } errbound = ccwerrboundC * detsum + resulterrbound * Absolute(det); det += (acx * bcytail + bcy * acxtail) - (acy * bcxtail + bcx * acytail); if ((det >= errbound) || (-det >= errbound)) { return det; } Two_Product(acxtail, bcy, s1, s0); Two_Product(acytail, bcx, t1, t0); Two_Two_Diff(s1, s0, t1, t0, u3, u[2], u[1], u[0]); u[3] = u3; C1length = fast_expansion_sum_zeroelim(4, B, 4, u, C1); Two_Product(acx, bcytail, s1, s0); Two_Product(acy, bcxtail, t1, t0); Two_Two_Diff(s1, s0, t1, t0, u3, u[2], u[1], u[0]); u[3] = u3; C2length = fast_expansion_sum_zeroelim(C1length, C1, 4, u, C2); Two_Product(acxtail, bcytail, s1, s0); Two_Product(acytail, bcxtail, t1, t0); Two_Two_Diff(s1, s0, t1, t0, u3, u[2], u[1], u[0]); u[3] = u3; Dlength = fast_expansion_sum_zeroelim(C2length, C2, 4, u, D); return(D[Dlength - 1]); } REAL orient2d(pa, pb, pc) REAL *pa; REAL *pb; REAL *pc; { REAL detleft, detright, det; REAL detsum, errbound; detleft = (pa[0] - pc[0]) * (pb[1] - pc[1]); detright = (pa[1] - pc[1]) * (pb[0] - pc[0]); det = detleft - detright; if (detleft > 0.0) { if (detright <= 0.0) { return det; } else { detsum = detleft + detright; } } else if (detleft < 0.0) { if (detright >= 0.0) { return det; } else { detsum = -detleft - detright; } } else { return det; } errbound = ccwerrboundA * detsum; if ((det >= errbound) || (-det >= errbound)) { return det; } return orient2dadapt(pa, pb, pc, detsum); } /*****************************************************************************/ /* */ /* orient3dfast() Approximate 3D orientation test. Nonrobust. */ /* orient3dexact() Exact 3D orientation test. Robust. */ /* orient3dslow() Another exact 3D orientation test. Robust. */ /* orient3d() Adaptive exact 3D orientation test. Robust. */ /* */ /* Return a positive value if the point pd lies below the */ /* plane passing through pa, pb, and pc; "below" is defined so */ /* that pa, pb, and pc appear in counterclockwise order when */ /* viewed from above the plane. Returns a negative value if */ /* pd lies above the plane. Returns zero if the points are */ /* coplanar. The result is also a rough approximation of six */ /* times the signed volume of the tetrahedron defined by the */ /* four points. */ /* */ /* Only the first and last routine should be used; the middle two are for */ /* timings. */ /* */ /* The last three use exact arithmetic to ensure a correct answer. The */ /* result returned is the determinant of a matrix. In orient3d() only, */ /* this determinant is computed adaptively, in the sense that exact */ /* arithmetic is used only to the degree it is needed to ensure that the */ /* returned value has the correct sign. Hence, orient3d() is usually quite */ /* fast, but will run more slowly when the input points are coplanar or */ /* nearly so. */ /* */ /*****************************************************************************/ REAL orient3dfast(pa, pb, pc, pd) REAL *pa; REAL *pb; REAL *pc; REAL *pd; { REAL adx, bdx, cdx; REAL ady, bdy, cdy; REAL adz, bdz, cdz; adx = pa[0] - pd[0]; bdx = pb[0] - pd[0]; cdx = pc[0] - pd[0]; ady = pa[1] - pd[1]; bdy = pb[1] - pd[1]; cdy = pc[1] - pd[1]; adz = pa[2] - pd[2]; bdz = pb[2] - pd[2]; cdz = pc[2] - pd[2]; return adx * (bdy * cdz - bdz * cdy) + bdx * (cdy * adz - cdz * ady) + cdx * (ady * bdz - adz * bdy); } REAL orient3dexact(pa, pb, pc, pd) REAL *pa; REAL *pb; REAL *pc; REAL *pd; { INEXACT REAL axby1, bxcy1, cxdy1, dxay1, axcy1, bxdy1; INEXACT REAL bxay1, cxby1, dxcy1, axdy1, cxay1, dxby1; REAL axby0, bxcy0, cxdy0, dxay0, axcy0, bxdy0; REAL bxay0, cxby0, dxcy0, axdy0, cxay0, dxby0; REAL ab[4], bc[4], cd[4], da[4], ac[4], bd[4]; REAL temp8[8]; int templen; REAL abc[12], bcd[12], cda[12], dab[12]; int abclen, bcdlen, cdalen, dablen; REAL adet[24], bdet[24], cdet[24], ddet[24]; int alen, blen, clen, dlen; REAL abdet[48], cddet[48]; int ablen, cdlen; REAL deter[96]; int deterlen; int i; INEXACT REAL bvirt; REAL avirt, bround, around; INEXACT REAL c; INEXACT REAL abig; REAL ahi, alo, bhi, blo; REAL err1, err2, err3; INEXACT REAL _i, _j; REAL _0; Two_Product(pa[0], pb[1], axby1, axby0); Two_Product(pb[0], pa[1], bxay1, bxay0); Two_Two_Diff(axby1, axby0, bxay1, bxay0, ab[3], ab[2], ab[1], ab[0]); Two_Product(pb[0], pc[1], bxcy1, bxcy0); Two_Product(pc[0], pb[1], cxby1, cxby0); Two_Two_Diff(bxcy1, bxcy0, cxby1, cxby0, bc[3], bc[2], bc[1], bc[0]); Two_Product(pc[0], pd[1], cxdy1, cxdy0); Two_Product(pd[0], pc[1], dxcy1, dxcy0); Two_Two_Diff(cxdy1, cxdy0, dxcy1, dxcy0, cd[3], cd[2], cd[1], cd[0]); Two_Product(pd[0], pa[1], dxay1, dxay0); Two_Product(pa[0], pd[1], axdy1, axdy0); Two_Two_Diff(dxay1, dxay0, axdy1, axdy0, da[3], da[2], da[1], da[0]); Two_Product(pa[0], pc[1], axcy1, axcy0); Two_Product(pc[0], pa[1], cxay1, cxay0); Two_Two_Diff(axcy1, axcy0, cxay1, cxay0, ac[3], ac[2], ac[1], ac[0]); Two_Product(pb[0], pd[1], bxdy1, bxdy0); Two_Product(pd[0], pb[1], dxby1, dxby0); Two_Two_Diff(bxdy1, bxdy0, dxby1, dxby0, bd[3], bd[2], bd[1], bd[0]); templen = fast_expansion_sum_zeroelim(4, cd, 4, da, temp8); cdalen = fast_expansion_sum_zeroelim(templen, temp8, 4, ac, cda); templen = fast_expansion_sum_zeroelim(4, da, 4, ab, temp8); dablen = fast_expansion_sum_zeroelim(templen, temp8, 4, bd, dab); for (i = 0; i < 4; i++) { bd[i] = -bd[i]; ac[i] = -ac[i]; } templen = fast_expansion_sum_zeroelim(4, ab, 4, bc, temp8); abclen = fast_expansion_sum_zeroelim(templen, temp8, 4, ac, abc); templen = fast_expansion_sum_zeroelim(4, bc, 4, cd, temp8); bcdlen = fast_expansion_sum_zeroelim(templen, temp8, 4, bd, bcd); alen = scale_expansion_zeroelim(bcdlen, bcd, pa[2], adet); blen = scale_expansion_zeroelim(cdalen, cda, -pb[2], bdet); clen = scale_expansion_zeroelim(dablen, dab, pc[2], cdet); dlen = scale_expansion_zeroelim(abclen, abc, -pd[2], ddet); ablen = fast_expansion_sum_zeroelim(alen, adet, blen, bdet, abdet); cdlen = fast_expansion_sum_zeroelim(clen, cdet, dlen, ddet, cddet); deterlen = fast_expansion_sum_zeroelim(ablen, abdet, cdlen, cddet, deter); return deter[deterlen - 1]; } REAL orient3dslow(pa, pb, pc, pd) REAL *pa; REAL *pb; REAL *pc; REAL *pd; { INEXACT REAL adx, ady, adz, bdx, bdy, bdz, cdx, cdy, cdz; REAL adxtail, adytail, adztail; REAL bdxtail, bdytail, bdztail; REAL cdxtail, cdytail, cdztail; REAL negate, negatetail; INEXACT REAL axby7, bxcy7, axcy7, bxay7, cxby7, cxay7; REAL axby[8], bxcy[8], axcy[8], bxay[8], cxby[8], cxay[8]; REAL temp16[16], temp32[32], temp32t[32]; int temp16len, temp32len, temp32tlen; REAL adet[64], bdet[64], cdet[64]; int alen, blen, clen; REAL abdet[128]; int ablen; REAL deter[192]; int deterlen; INEXACT REAL bvirt; REAL avirt, bround, around; INEXACT REAL c; INEXACT REAL abig; REAL a0hi, a0lo, a1hi, a1lo, bhi, blo; REAL err1, err2, err3; INEXACT REAL _i, _j, _k, _l, _m, _n; REAL _0, _1, _2; Two_Diff(pa[0], pd[0], adx, adxtail); Two_Diff(pa[1], pd[1], ady, adytail); Two_Diff(pa[2], pd[2], adz, adztail); Two_Diff(pb[0], pd[0], bdx, bdxtail); Two_Diff(pb[1], pd[1], bdy, bdytail); Two_Diff(pb[2], pd[2], bdz, bdztail); Two_Diff(pc[0], pd[0], cdx, cdxtail); Two_Diff(pc[1], pd[1], cdy, cdytail); Two_Diff(pc[2], pd[2], cdz, cdztail); Two_Two_Product(adx, adxtail, bdy, bdytail, axby7, axby[6], axby[5], axby[4], axby[3], axby[2], axby[1], axby[0]); axby[7] = axby7; negate = -ady; negatetail = -adytail; Two_Two_Product(bdx, bdxtail, negate, negatetail, bxay7, bxay[6], bxay[5], bxay[4], bxay[3], bxay[2], bxay[1], bxay[0]); bxay[7] = bxay7; Two_Two_Product(bdx, bdxtail, cdy, cdytail, bxcy7, bxcy[6], bxcy[5], bxcy[4], bxcy[3], bxcy[2], bxcy[1], bxcy[0]); bxcy[7] = bxcy7; negate = -bdy; negatetail = -bdytail; Two_Two_Product(cdx, cdxtail, negate, negatetail, cxby7, cxby[6], cxby[5], cxby[4], cxby[3], cxby[2], cxby[1], cxby[0]); cxby[7] = cxby7; Two_Two_Product(cdx, cdxtail, ady, adytail, cxay7, cxay[6], cxay[5], cxay[4], cxay[3], cxay[2], cxay[1], cxay[0]); cxay[7] = cxay7; negate = -cdy; negatetail = -cdytail; Two_Two_Product(adx, adxtail, negate, negatetail, axcy7, axcy[6], axcy[5], axcy[4], axcy[3], axcy[2], axcy[1], axcy[0]); axcy[7] = axcy7; temp16len = fast_expansion_sum_zeroelim(8, bxcy, 8, cxby, temp16); temp32len = scale_expansion_zeroelim(temp16len, temp16, adz, temp32); temp32tlen = scale_expansion_zeroelim(temp16len, temp16, adztail, temp32t); alen = fast_expansion_sum_zeroelim(temp32len, temp32, temp32tlen, temp32t, adet); temp16len = fast_expansion_sum_zeroelim(8, cxay, 8, axcy, temp16); temp32len = scale_expansion_zeroelim(temp16len, temp16, bdz, temp32); temp32tlen = scale_expansion_zeroelim(temp16len, temp16, bdztail, temp32t); blen = fast_expansion_sum_zeroelim(temp32len, temp32, temp32tlen, temp32t, bdet); temp16len = fast_expansion_sum_zeroelim(8, axby, 8, bxay, temp16); temp32len = scale_expansion_zeroelim(temp16len, temp16, cdz, temp32); temp32tlen = scale_expansion_zeroelim(temp16len, temp16, cdztail, temp32t); clen = fast_expansion_sum_zeroelim(temp32len, temp32, temp32tlen, temp32t, cdet); ablen = fast_expansion_sum_zeroelim(alen, adet, blen, bdet, abdet); deterlen = fast_expansion_sum_zeroelim(ablen, abdet, clen, cdet, deter); return deter[deterlen - 1]; } REAL orient3dadapt(pa, pb, pc, pd, permanent) REAL *pa; REAL *pb; REAL *pc; REAL *pd; REAL permanent; { INEXACT REAL adx, bdx, cdx, ady, bdy, cdy, adz, bdz, cdz; REAL det, errbound; INEXACT REAL bdxcdy1, cdxbdy1, cdxady1, adxcdy1, adxbdy1, bdxady1; REAL bdxcdy0, cdxbdy0, cdxady0, adxcdy0, adxbdy0, bdxady0; REAL bc[4], ca[4], ab[4]; INEXACT REAL bc3, ca3, ab3; REAL adet[8], bdet[8], cdet[8]; int alen, blen, clen; REAL abdet[16]; int ablen; REAL *finnow, *finother, *finswap; REAL fin1[192], fin2[192]; int finlength; REAL adxtail, bdxtail, cdxtail; REAL adytail, bdytail, cdytail; REAL adztail, bdztail, cdztail; INEXACT REAL at_blarge, at_clarge; INEXACT REAL bt_clarge, bt_alarge; INEXACT REAL ct_alarge, ct_blarge; REAL at_b[4], at_c[4], bt_c[4], bt_a[4], ct_a[4], ct_b[4]; int at_blen, at_clen, bt_clen, bt_alen, ct_alen, ct_blen; INEXACT REAL bdxt_cdy1, cdxt_bdy1, cdxt_ady1; INEXACT REAL adxt_cdy1, adxt_bdy1, bdxt_ady1; REAL bdxt_cdy0, cdxt_bdy0, cdxt_ady0; REAL adxt_cdy0, adxt_bdy0, bdxt_ady0; INEXACT REAL bdyt_cdx1, cdyt_bdx1, cdyt_adx1; INEXACT REAL adyt_cdx1, adyt_bdx1, bdyt_adx1; REAL bdyt_cdx0, cdyt_bdx0, cdyt_adx0; REAL adyt_cdx0, adyt_bdx0, bdyt_adx0; REAL bct[8], cat[8], abt[8]; int bctlen, catlen, abtlen; INEXACT REAL bdxt_cdyt1, cdxt_bdyt1, cdxt_adyt1; INEXACT REAL adxt_cdyt1, adxt_bdyt1, bdxt_adyt1; REAL bdxt_cdyt0, cdxt_bdyt0, cdxt_adyt0; REAL adxt_cdyt0, adxt_bdyt0, bdxt_adyt0; REAL u[4], v[12], w[16]; INEXACT REAL u3; int vlength, wlength; REAL negate; INEXACT REAL bvirt; REAL avirt, bround, around; INEXACT REAL c; INEXACT REAL abig; REAL ahi, alo, bhi, blo; REAL err1, err2, err3; INEXACT REAL _i, _j, _k; REAL _0; adx = (REAL) (pa[0] - pd[0]); bdx = (REAL) (pb[0] - pd[0]); cdx = (REAL) (pc[0] - pd[0]); ady = (REAL) (pa[1] - pd[1]); bdy = (REAL) (pb[1] - pd[1]); cdy = (REAL) (pc[1] - pd[1]); adz = (REAL) (pa[2] - pd[2]); bdz = (REAL) (pb[2] - pd[2]); cdz = (REAL) (pc[2] - pd[2]); Two_Product(bdx, cdy, bdxcdy1, bdxcdy0); Two_Product(cdx, bdy, cdxbdy1, cdxbdy0); Two_Two_Diff(bdxcdy1, bdxcdy0, cdxbdy1, cdxbdy0, bc3, bc[2], bc[1], bc[0]); bc[3] = bc3; alen = scale_expansion_zeroelim(4, bc, adz, adet); Two_Product(cdx, ady, cdxady1, cdxady0); Two_Product(adx, cdy, adxcdy1, adxcdy0); Two_Two_Diff(cdxady1, cdxady0, adxcdy1, adxcdy0, ca3, ca[2], ca[1], ca[0]); ca[3] = ca3; blen = scale_expansion_zeroelim(4, ca, bdz, bdet); Two_Product(adx, bdy, adxbdy1, adxbdy0); Two_Product(bdx, ady, bdxady1, bdxady0); Two_Two_Diff(adxbdy1, adxbdy0, bdxady1, bdxady0, ab3, ab[2], ab[1], ab[0]); ab[3] = ab3; clen = scale_expansion_zeroelim(4, ab, cdz, cdet); ablen = fast_expansion_sum_zeroelim(alen, adet, blen, bdet, abdet); finlength = fast_expansion_sum_zeroelim(ablen, abdet, clen, cdet, fin1); det = estimate(finlength, fin1); errbound = o3derrboundB * permanent; if ((det >= errbound) || (-det >= errbound)) { return det; } Two_Diff_Tail(pa[0], pd[0], adx, adxtail); Two_Diff_Tail(pb[0], pd[0], bdx, bdxtail); Two_Diff_Tail(pc[0], pd[0], cdx, cdxtail); Two_Diff_Tail(pa[1], pd[1], ady, adytail); Two_Diff_Tail(pb[1], pd[1], bdy, bdytail); Two_Diff_Tail(pc[1], pd[1], cdy, cdytail); Two_Diff_Tail(pa[2], pd[2], adz, adztail); Two_Diff_Tail(pb[2], pd[2], bdz, bdztail); Two_Diff_Tail(pc[2], pd[2], cdz, cdztail); if ((adxtail == 0.0) && (bdxtail == 0.0) && (cdxtail == 0.0) && (adytail == 0.0) && (bdytail == 0.0) && (cdytail == 0.0) && (adztail == 0.0) && (bdztail == 0.0) && (cdztail == 0.0)) { return det; } errbound = o3derrboundC * permanent + resulterrbound * Absolute(det); det += (adz * ((bdx * cdytail + cdy * bdxtail) - (bdy * cdxtail + cdx * bdytail)) + adztail * (bdx * cdy - bdy * cdx)) + (bdz * ((cdx * adytail + ady * cdxtail) - (cdy * adxtail + adx * cdytail)) + bdztail * (cdx * ady - cdy * adx)) + (cdz * ((adx * bdytail + bdy * adxtail) - (ady * bdxtail + bdx * adytail)) + cdztail * (adx * bdy - ady * bdx)); if ((det >= errbound) || (-det >= errbound)) { return det; } finnow = fin1; finother = fin2; if (adxtail == 0.0) { if (adytail == 0.0) { at_b[0] = 0.0; at_blen = 1; at_c[0] = 0.0; at_clen = 1; } else { negate = -adytail; Two_Product(negate, bdx, at_blarge, at_b[0]); at_b[1] = at_blarge; at_blen = 2; Two_Product(adytail, cdx, at_clarge, at_c[0]); at_c[1] = at_clarge; at_clen = 2; } } else { if (adytail == 0.0) { Two_Product(adxtail, bdy, at_blarge, at_b[0]); at_b[1] = at_blarge; at_blen = 2; negate = -adxtail; Two_Product(negate, cdy, at_clarge, at_c[0]); at_c[1] = at_clarge; at_clen = 2; } else { Two_Product(adxtail, bdy, adxt_bdy1, adxt_bdy0); Two_Product(adytail, bdx, adyt_bdx1, adyt_bdx0); Two_Two_Diff(adxt_bdy1, adxt_bdy0, adyt_bdx1, adyt_bdx0, at_blarge, at_b[2], at_b[1], at_b[0]); at_b[3] = at_blarge; at_blen = 4; Two_Product(adytail, cdx, adyt_cdx1, adyt_cdx0); Two_Product(adxtail, cdy, adxt_cdy1, adxt_cdy0); Two_Two_Diff(adyt_cdx1, adyt_cdx0, adxt_cdy1, adxt_cdy0, at_clarge, at_c[2], at_c[1], at_c[0]); at_c[3] = at_clarge; at_clen = 4; } } if (bdxtail == 0.0) { if (bdytail == 0.0) { bt_c[0] = 0.0; bt_clen = 1; bt_a[0] = 0.0; bt_alen = 1; } else { negate = -bdytail; Two_Product(negate, cdx, bt_clarge, bt_c[0]); bt_c[1] = bt_clarge; bt_clen = 2; Two_Product(bdytail, adx, bt_alarge, bt_a[0]); bt_a[1] = bt_alarge; bt_alen = 2; } } else { if (bdytail == 0.0) { Two_Product(bdxtail, cdy, bt_clarge, bt_c[0]); bt_c[1] = bt_clarge; bt_clen = 2; negate = -bdxtail; Two_Product(negate, ady, bt_alarge, bt_a[0]); bt_a[1] = bt_alarge; bt_alen = 2; } else { Two_Product(bdxtail, cdy, bdxt_cdy1, bdxt_cdy0); Two_Product(bdytail, cdx, bdyt_cdx1, bdyt_cdx0); Two_Two_Diff(bdxt_cdy1, bdxt_cdy0, bdyt_cdx1, bdyt_cdx0, bt_clarge, bt_c[2], bt_c[1], bt_c[0]); bt_c[3] = bt_clarge; bt_clen = 4; Two_Product(bdytail, adx, bdyt_adx1, bdyt_adx0); Two_Product(bdxtail, ady, bdxt_ady1, bdxt_ady0); Two_Two_Diff(bdyt_adx1, bdyt_adx0, bdxt_ady1, bdxt_ady0, bt_alarge, bt_a[2], bt_a[1], bt_a[0]); bt_a[3] = bt_alarge; bt_alen = 4; } } if (cdxtail == 0.0) { if (cdytail == 0.0) { ct_a[0] = 0.0; ct_alen = 1; ct_b[0] = 0.0; ct_blen = 1; } else { negate = -cdytail; Two_Product(negate, adx, ct_alarge, ct_a[0]); ct_a[1] = ct_alarge; ct_alen = 2; Two_Product(cdytail, bdx, ct_blarge, ct_b[0]); ct_b[1] = ct_blarge; ct_blen = 2; } } else { if (cdytail == 0.0) { Two_Product(cdxtail, ady, ct_alarge, ct_a[0]); ct_a[1] = ct_alarge; ct_alen = 2; negate = -cdxtail; Two_Product(negate, bdy, ct_blarge, ct_b[0]); ct_b[1] = ct_blarge; ct_blen = 2; } else { Two_Product(cdxtail, ady, cdxt_ady1, cdxt_ady0); Two_Product(cdytail, adx, cdyt_adx1, cdyt_adx0); Two_Two_Diff(cdxt_ady1, cdxt_ady0, cdyt_adx1, cdyt_adx0, ct_alarge, ct_a[2], ct_a[1], ct_a[0]); ct_a[3] = ct_alarge; ct_alen = 4; Two_Product(cdytail, bdx, cdyt_bdx1, cdyt_bdx0); Two_Product(cdxtail, bdy, cdxt_bdy1, cdxt_bdy0); Two_Two_Diff(cdyt_bdx1, cdyt_bdx0, cdxt_bdy1, cdxt_bdy0, ct_blarge, ct_b[2], ct_b[1], ct_b[0]); ct_b[3] = ct_blarge; ct_blen = 4; } } bctlen = fast_expansion_sum_zeroelim(bt_clen, bt_c, ct_blen, ct_b, bct); wlength = scale_expansion_zeroelim(bctlen, bct, adz, w); finlength = fast_expansion_sum_zeroelim(finlength, finnow, wlength, w, finother); finswap = finnow; finnow = finother; finother = finswap; catlen = fast_expansion_sum_zeroelim(ct_alen, ct_a, at_clen, at_c, cat); wlength = scale_expansion_zeroelim(catlen, cat, bdz, w); finlength = fast_expansion_sum_zeroelim(finlength, finnow, wlength, w, finother); finswap = finnow; finnow = finother; finother = finswap; abtlen = fast_expansion_sum_zeroelim(at_blen, at_b, bt_alen, bt_a, abt); wlength = scale_expansion_zeroelim(abtlen, abt, cdz, w); finlength = fast_expansion_sum_zeroelim(finlength, finnow, wlength, w, finother); finswap = finnow; finnow = finother; finother = finswap; if (adztail != 0.0) { vlength = scale_expansion_zeroelim(4, bc, adztail, v); finlength = fast_expansion_sum_zeroelim(finlength, finnow, vlength, v, finother); finswap = finnow; finnow = finother; finother = finswap; } if (bdztail != 0.0) { vlength = scale_expansion_zeroelim(4, ca, bdztail, v); finlength = fast_expansion_sum_zeroelim(finlength, finnow, vlength, v, finother); finswap = finnow; finnow = finother; finother = finswap; } if (cdztail != 0.0) { vlength = scale_expansion_zeroelim(4, ab, cdztail, v); finlength = fast_expansion_sum_zeroelim(finlength, finnow, vlength, v, finother); finswap = finnow; finnow = finother; finother = finswap; } if (adxtail != 0.0) { if (bdytail != 0.0) { Two_Product(adxtail, bdytail, adxt_bdyt1, adxt_bdyt0); Two_One_Product(adxt_bdyt1, adxt_bdyt0, cdz, u3, u[2], u[1], u[0]); u[3] = u3; finlength = fast_expansion_sum_zeroelim(finlength, finnow, 4, u, finother); finswap = finnow; finnow = finother; finother = finswap; if (cdztail != 0.0) { Two_One_Product(adxt_bdyt1, adxt_bdyt0, cdztail, u3, u[2], u[1], u[0]); u[3] = u3; finlength = fast_expansion_sum_zeroelim(finlength, finnow, 4, u, finother); finswap = finnow; finnow = finother; finother = finswap; } } if (cdytail != 0.0) { negate = -adxtail; Two_Product(negate, cdytail, adxt_cdyt1, adxt_cdyt0); Two_One_Product(adxt_cdyt1, adxt_cdyt0, bdz, u3, u[2], u[1], u[0]); u[3] = u3; finlength = fast_expansion_sum_zeroelim(finlength, finnow, 4, u, finother); finswap = finnow; finnow = finother; finother = finswap; if (bdztail != 0.0) { Two_One_Product(adxt_cdyt1, adxt_cdyt0, bdztail, u3, u[2], u[1], u[0]); u[3] = u3; finlength = fast_expansion_sum_zeroelim(finlength, finnow, 4, u, finother); finswap = finnow; finnow = finother; finother = finswap; } } } if (bdxtail != 0.0) { if (cdytail != 0.0) { Two_Product(bdxtail, cdytail, bdxt_cdyt1, bdxt_cdyt0); Two_One_Product(bdxt_cdyt1, bdxt_cdyt0, adz, u3, u[2], u[1], u[0]); u[3] = u3; finlength = fast_expansion_sum_zeroelim(finlength, finnow, 4, u, finother); finswap = finnow; finnow = finother; finother = finswap; if (adztail != 0.0) { Two_One_Product(bdxt_cdyt1, bdxt_cdyt0, adztail, u3, u[2], u[1], u[0]); u[3] = u3; finlength = fast_expansion_sum_zeroelim(finlength, finnow, 4, u, finother); finswap = finnow; finnow = finother; finother = finswap; } } if (adytail != 0.0) { negate = -bdxtail; Two_Product(negate, adytail, bdxt_adyt1, bdxt_adyt0); Two_One_Product(bdxt_adyt1, bdxt_adyt0, cdz, u3, u[2], u[1], u[0]); u[3] = u3; finlength = fast_expansion_sum_zeroelim(finlength, finnow, 4, u, finother); finswap = finnow; finnow = finother; finother = finswap; if (cdztail != 0.0) { Two_One_Product(bdxt_adyt1, bdxt_adyt0, cdztail, u3, u[2], u[1], u[0]); u[3] = u3; finlength = fast_expansion_sum_zeroelim(finlength, finnow, 4, u, finother); finswap = finnow; finnow = finother; finother = finswap; } } } if (cdxtail != 0.0) { if (adytail != 0.0) { Two_Product(cdxtail, adytail, cdxt_adyt1, cdxt_adyt0); Two_One_Product(cdxt_adyt1, cdxt_adyt0, bdz, u3, u[2], u[1], u[0]); u[3] = u3; finlength = fast_expansion_sum_zeroelim(finlength, finnow, 4, u, finother); finswap = finnow; finnow = finother; finother = finswap; if (bdztail != 0.0) { Two_One_Product(cdxt_adyt1, cdxt_adyt0, bdztail, u3, u[2], u[1], u[0]); u[3] = u3; finlength = fast_expansion_sum_zeroelim(finlength, finnow, 4, u, finother); finswap = finnow; finnow = finother; finother = finswap; } } if (bdytail != 0.0) { negate = -cdxtail; Two_Product(negate, bdytail, cdxt_bdyt1, cdxt_bdyt0); Two_One_Product(cdxt_bdyt1, cdxt_bdyt0, adz, u3, u[2], u[1], u[0]); u[3] = u3; finlength = fast_expansion_sum_zeroelim(finlength, finnow, 4, u, finother); finswap = finnow; finnow = finother; finother = finswap; if (adztail != 0.0) { Two_One_Product(cdxt_bdyt1, cdxt_bdyt0, adztail, u3, u[2], u[1], u[0]); u[3] = u3; finlength = fast_expansion_sum_zeroelim(finlength, finnow, 4, u, finother); finswap = finnow; finnow = finother; finother = finswap; } } } if (adztail != 0.0) { wlength = scale_expansion_zeroelim(bctlen, bct, adztail, w); finlength = fast_expansion_sum_zeroelim(finlength, finnow, wlength, w, finother); finswap = finnow; finnow = finother; finother = finswap; } if (bdztail != 0.0) { wlength = scale_expansion_zeroelim(catlen, cat, bdztail, w); finlength = fast_expansion_sum_zeroelim(finlength, finnow, wlength, w, finother); finswap = finnow; finnow = finother; finother = finswap; } if (cdztail != 0.0) { wlength = scale_expansion_zeroelim(abtlen, abt, cdztail, w); finlength = fast_expansion_sum_zeroelim(finlength, finnow, wlength, w, finother); finswap = finnow; finnow = finother; finother = finswap; } return finnow[finlength - 1]; } REAL orient3d(pa, pb, pc, pd) REAL *pa; REAL *pb; REAL *pc; REAL *pd; { REAL adx, bdx, cdx, ady, bdy, cdy, adz, bdz, cdz; REAL bdxcdy, cdxbdy, cdxady, adxcdy, adxbdy, bdxady; REAL det; REAL permanent, errbound; adx = pa[0] - pd[0]; bdx = pb[0] - pd[0]; cdx = pc[0] - pd[0]; ady = pa[1] - pd[1]; bdy = pb[1] - pd[1]; cdy = pc[1] - pd[1]; adz = pa[2] - pd[2]; bdz = pb[2] - pd[2]; cdz = pc[2] - pd[2]; bdxcdy = bdx * cdy; cdxbdy = cdx * bdy; cdxady = cdx * ady; adxcdy = adx * cdy; adxbdy = adx * bdy; bdxady = bdx * ady; det = adz * (bdxcdy - cdxbdy) + bdz * (cdxady - adxcdy) + cdz * (adxbdy - bdxady); permanent = (Absolute(bdxcdy) + Absolute(cdxbdy)) * Absolute(adz) + (Absolute(cdxady) + Absolute(adxcdy)) * Absolute(bdz) + (Absolute(adxbdy) + Absolute(bdxady)) * Absolute(cdz); errbound = o3derrboundA * permanent; if ((det > errbound) || (-det > errbound)) { return det; } return orient3dadapt(pa, pb, pc, pd, permanent); } /*****************************************************************************/ /* */ /* incirclefast() Approximate 2D incircle test. Nonrobust. */ /* incircleexact() Exact 2D incircle test. Robust. */ /* incircleslow() Another exact 2D incircle test. Robust. */ /* incircle() Adaptive exact 2D incircle test. Robust. */ /* */ /* Return a positive value if the point pd lies inside the */ /* circle passing through pa, pb, and pc; a negative value if */ /* it lies outside; and zero if the four points are cocircular.*/ /* The points pa, pb, and pc must be in counterclockwise */ /* order, or the sign of the result will be reversed. */ /* */ /* Only the first and last routine should be used; the middle two are for */ /* timings. */ /* */ /* The last three use exact arithmetic to ensure a correct answer. The */ /* result returned is the determinant of a matrix. In incircle() only, */ /* this determinant is computed adaptively, in the sense that exact */ /* arithmetic is used only to the degree it is needed to ensure that the */ /* returned value has the correct sign. Hence, incircle() is usually quite */ /* fast, but will run more slowly when the input points are cocircular or */ /* nearly so. */ /* */ /*****************************************************************************/ REAL incirclefast(pa, pb, pc, pd) REAL *pa; REAL *pb; REAL *pc; REAL *pd; { REAL adx, ady, bdx, bdy, cdx, cdy; REAL abdet, bcdet, cadet; REAL alift, blift, clift; adx = pa[0] - pd[0]; ady = pa[1] - pd[1]; bdx = pb[0] - pd[0]; bdy = pb[1] - pd[1]; cdx = pc[0] - pd[0]; cdy = pc[1] - pd[1]; abdet = adx * bdy - bdx * ady; bcdet = bdx * cdy - cdx * bdy; cadet = cdx * ady - adx * cdy; alift = adx * adx + ady * ady; blift = bdx * bdx + bdy * bdy; clift = cdx * cdx + cdy * cdy; return alift * bcdet + blift * cadet + clift * abdet; } REAL incircleexact(pa, pb, pc, pd) REAL *pa; REAL *pb; REAL *pc; REAL *pd; { INEXACT REAL axby1, bxcy1, cxdy1, dxay1, axcy1, bxdy1; INEXACT REAL bxay1, cxby1, dxcy1, axdy1, cxay1, dxby1; REAL axby0, bxcy0, cxdy0, dxay0, axcy0, bxdy0; REAL bxay0, cxby0, dxcy0, axdy0, cxay0, dxby0; REAL ab[4], bc[4], cd[4], da[4], ac[4], bd[4]; REAL temp8[8]; int templen; REAL abc[12], bcd[12], cda[12], dab[12]; int abclen, bcdlen, cdalen, dablen; REAL det24x[24], det24y[24], det48x[48], det48y[48]; int xlen, ylen; REAL adet[96], bdet[96], cdet[96], ddet[96]; int alen, blen, clen, dlen; REAL abdet[192], cddet[192]; int ablen, cdlen; REAL deter[384]; int deterlen; int i; INEXACT REAL bvirt; REAL avirt, bround, around; INEXACT REAL c; INEXACT REAL abig; REAL ahi, alo, bhi, blo; REAL err1, err2, err3; INEXACT REAL _i, _j; REAL _0; Two_Product(pa[0], pb[1], axby1, axby0); Two_Product(pb[0], pa[1], bxay1, bxay0); Two_Two_Diff(axby1, axby0, bxay1, bxay0, ab[3], ab[2], ab[1], ab[0]); Two_Product(pb[0], pc[1], bxcy1, bxcy0); Two_Product(pc[0], pb[1], cxby1, cxby0); Two_Two_Diff(bxcy1, bxcy0, cxby1, cxby0, bc[3], bc[2], bc[1], bc[0]); Two_Product(pc[0], pd[1], cxdy1, cxdy0); Two_Product(pd[0], pc[1], dxcy1, dxcy0); Two_Two_Diff(cxdy1, cxdy0, dxcy1, dxcy0, cd[3], cd[2], cd[1], cd[0]); Two_Product(pd[0], pa[1], dxay1, dxay0); Two_Product(pa[0], pd[1], axdy1, axdy0); Two_Two_Diff(dxay1, dxay0, axdy1, axdy0, da[3], da[2], da[1], da[0]); Two_Product(pa[0], pc[1], axcy1, axcy0); Two_Product(pc[0], pa[1], cxay1, cxay0); Two_Two_Diff(axcy1, axcy0, cxay1, cxay0, ac[3], ac[2], ac[1], ac[0]); Two_Product(pb[0], pd[1], bxdy1, bxdy0); Two_Product(pd[0], pb[1], dxby1, dxby0); Two_Two_Diff(bxdy1, bxdy0, dxby1, dxby0, bd[3], bd[2], bd[1], bd[0]); templen = fast_expansion_sum_zeroelim(4, cd, 4, da, temp8); cdalen = fast_expansion_sum_zeroelim(templen, temp8, 4, ac, cda); templen = fast_expansion_sum_zeroelim(4, da, 4, ab, temp8); dablen = fast_expansion_sum_zeroelim(templen, temp8, 4, bd, dab); for (i = 0; i < 4; i++) { bd[i] = -bd[i]; ac[i] = -ac[i]; } templen = fast_expansion_sum_zeroelim(4, ab, 4, bc, temp8); abclen = fast_expansion_sum_zeroelim(templen, temp8, 4, ac, abc); templen = fast_expansion_sum_zeroelim(4, bc, 4, cd, temp8); bcdlen = fast_expansion_sum_zeroelim(templen, temp8, 4, bd, bcd); xlen = scale_expansion_zeroelim(bcdlen, bcd, pa[0], det24x); xlen = scale_expansion_zeroelim(xlen, det24x, pa[0], det48x); ylen = scale_expansion_zeroelim(bcdlen, bcd, pa[1], det24y); ylen = scale_expansion_zeroelim(ylen, det24y, pa[1], det48y); alen = fast_expansion_sum_zeroelim(xlen, det48x, ylen, det48y, adet); xlen = scale_expansion_zeroelim(cdalen, cda, pb[0], det24x); xlen = scale_expansion_zeroelim(xlen, det24x, -pb[0], det48x); ylen = scale_expansion_zeroelim(cdalen, cda, pb[1], det24y); ylen = scale_expansion_zeroelim(ylen, det24y, -pb[1], det48y); blen = fast_expansion_sum_zeroelim(xlen, det48x, ylen, det48y, bdet); xlen = scale_expansion_zeroelim(dablen, dab, pc[0], det24x); xlen = scale_expansion_zeroelim(xlen, det24x, pc[0], det48x); ylen = scale_expansion_zeroelim(dablen, dab, pc[1], det24y); ylen = scale_expansion_zeroelim(ylen, det24y, pc[1], det48y); clen = fast_expansion_sum_zeroelim(xlen, det48x, ylen, det48y, cdet); xlen = scale_expansion_zeroelim(abclen, abc, pd[0], det24x); xlen = scale_expansion_zeroelim(xlen, det24x, -pd[0], det48x); ylen = scale_expansion_zeroelim(abclen, abc, pd[1], det24y); ylen = scale_expansion_zeroelim(ylen, det24y, -pd[1], det48y); dlen = fast_expansion_sum_zeroelim(xlen, det48x, ylen, det48y, ddet); ablen = fast_expansion_sum_zeroelim(alen, adet, blen, bdet, abdet); cdlen = fast_expansion_sum_zeroelim(clen, cdet, dlen, ddet, cddet); deterlen = fast_expansion_sum_zeroelim(ablen, abdet, cdlen, cddet, deter); return deter[deterlen - 1]; } REAL incircleslow(pa, pb, pc, pd) REAL *pa; REAL *pb; REAL *pc; REAL *pd; { INEXACT REAL adx, bdx, cdx, ady, bdy, cdy; REAL adxtail, bdxtail, cdxtail; REAL adytail, bdytail, cdytail; REAL negate, negatetail; INEXACT REAL axby7, bxcy7, axcy7, bxay7, cxby7, cxay7; REAL axby[8], bxcy[8], axcy[8], bxay[8], cxby[8], cxay[8]; REAL temp16[16]; int temp16len; REAL detx[32], detxx[64], detxt[32], detxxt[64], detxtxt[64]; int xlen, xxlen, xtlen, xxtlen, xtxtlen; REAL x1[128], x2[192]; int x1len, x2len; REAL dety[32], detyy[64], detyt[32], detyyt[64], detytyt[64]; int ylen, yylen, ytlen, yytlen, ytytlen; REAL y1[128], y2[192]; int y1len, y2len; REAL adet[384], bdet[384], cdet[384], abdet[768], deter[1152]; int alen, blen, clen, ablen, deterlen; int i; INEXACT REAL bvirt; REAL avirt, bround, around; INEXACT REAL c; INEXACT REAL abig; REAL a0hi, a0lo, a1hi, a1lo, bhi, blo; REAL err1, err2, err3; INEXACT REAL _i, _j, _k, _l, _m, _n; REAL _0, _1, _2; Two_Diff(pa[0], pd[0], adx, adxtail); Two_Diff(pa[1], pd[1], ady, adytail); Two_Diff(pb[0], pd[0], bdx, bdxtail); Two_Diff(pb[1], pd[1], bdy, bdytail); Two_Diff(pc[0], pd[0], cdx, cdxtail); Two_Diff(pc[1], pd[1], cdy, cdytail); Two_Two_Product(adx, adxtail, bdy, bdytail, axby7, axby[6], axby[5], axby[4], axby[3], axby[2], axby[1], axby[0]); axby[7] = axby7; negate = -ady; negatetail = -adytail; Two_Two_Product(bdx, bdxtail, negate, negatetail, bxay7, bxay[6], bxay[5], bxay[4], bxay[3], bxay[2], bxay[1], bxay[0]); bxay[7] = bxay7; Two_Two_Product(bdx, bdxtail, cdy, cdytail, bxcy7, bxcy[6], bxcy[5], bxcy[4], bxcy[3], bxcy[2], bxcy[1], bxcy[0]); bxcy[7] = bxcy7; negate = -bdy; negatetail = -bdytail; Two_Two_Product(cdx, cdxtail, negate, negatetail, cxby7, cxby[6], cxby[5], cxby[4], cxby[3], cxby[2], cxby[1], cxby[0]); cxby[7] = cxby7; Two_Two_Product(cdx, cdxtail, ady, adytail, cxay7, cxay[6], cxay[5], cxay[4], cxay[3], cxay[2], cxay[1], cxay[0]); cxay[7] = cxay7; negate = -cdy; negatetail = -cdytail; Two_Two_Product(adx, adxtail, negate, negatetail, axcy7, axcy[6], axcy[5], axcy[4], axcy[3], axcy[2], axcy[1], axcy[0]); axcy[7] = axcy7; temp16len = fast_expansion_sum_zeroelim(8, bxcy, 8, cxby, temp16); xlen = scale_expansion_zeroelim(temp16len, temp16, adx, detx); xxlen = scale_expansion_zeroelim(xlen, detx, adx, detxx); xtlen = scale_expansion_zeroelim(temp16len, temp16, adxtail, detxt); xxtlen = scale_expansion_zeroelim(xtlen, detxt, adx, detxxt); for (i = 0; i < xxtlen; i++) { detxxt[i] *= 2.0; } xtxtlen = scale_expansion_zeroelim(xtlen, detxt, adxtail, detxtxt); x1len = fast_expansion_sum_zeroelim(xxlen, detxx, xxtlen, detxxt, x1); x2len = fast_expansion_sum_zeroelim(x1len, x1, xtxtlen, detxtxt, x2); ylen = scale_expansion_zeroelim(temp16len, temp16, ady, dety); yylen = scale_expansion_zeroelim(ylen, dety, ady, detyy); ytlen = scale_expansion_zeroelim(temp16len, temp16, adytail, detyt); yytlen = scale_expansion_zeroelim(ytlen, detyt, ady, detyyt); for (i = 0; i < yytlen; i++) { detyyt[i] *= 2.0; } ytytlen = scale_expansion_zeroelim(ytlen, detyt, adytail, detytyt); y1len = fast_expansion_sum_zeroelim(yylen, detyy, yytlen, detyyt, y1); y2len = fast_expansion_sum_zeroelim(y1len, y1, ytytlen, detytyt, y2); alen = fast_expansion_sum_zeroelim(x2len, x2, y2len, y2, adet); temp16len = fast_expansion_sum_zeroelim(8, cxay, 8, axcy, temp16); xlen = scale_expansion_zeroelim(temp16len, temp16, bdx, detx); xxlen = scale_expansion_zeroelim(xlen, detx, bdx, detxx); xtlen = scale_expansion_zeroelim(temp16len, temp16, bdxtail, detxt); xxtlen = scale_expansion_zeroelim(xtlen, detxt, bdx, detxxt); for (i = 0; i < xxtlen; i++) { detxxt[i] *= 2.0; } xtxtlen = scale_expansion_zeroelim(xtlen, detxt, bdxtail, detxtxt); x1len = fast_expansion_sum_zeroelim(xxlen, detxx, xxtlen, detxxt, x1); x2len = fast_expansion_sum_zeroelim(x1len, x1, xtxtlen, detxtxt, x2); ylen = scale_expansion_zeroelim(temp16len, temp16, bdy, dety); yylen = scale_expansion_zeroelim(ylen, dety, bdy, detyy); ytlen = scale_expansion_zeroelim(temp16len, temp16, bdytail, detyt); yytlen = scale_expansion_zeroelim(ytlen, detyt, bdy, detyyt); for (i = 0; i < yytlen; i++) { detyyt[i] *= 2.0; } ytytlen = scale_expansion_zeroelim(ytlen, detyt, bdytail, detytyt); y1len = fast_expansion_sum_zeroelim(yylen, detyy, yytlen, detyyt, y1); y2len = fast_expansion_sum_zeroelim(y1len, y1, ytytlen, detytyt, y2); blen = fast_expansion_sum_zeroelim(x2len, x2, y2len, y2, bdet); temp16len = fast_expansion_sum_zeroelim(8, axby, 8, bxay, temp16); xlen = scale_expansion_zeroelim(temp16len, temp16, cdx, detx); xxlen = scale_expansion_zeroelim(xlen, detx, cdx, detxx); xtlen = scale_expansion_zeroelim(temp16len, temp16, cdxtail, detxt); xxtlen = scale_expansion_zeroelim(xtlen, detxt, cdx, detxxt); for (i = 0; i < xxtlen; i++) { detxxt[i] *= 2.0; } xtxtlen = scale_expansion_zeroelim(xtlen, detxt, cdxtail, detxtxt); x1len = fast_expansion_sum_zeroelim(xxlen, detxx, xxtlen, detxxt, x1); x2len = fast_expansion_sum_zeroelim(x1len, x1, xtxtlen, detxtxt, x2); ylen = scale_expansion_zeroelim(temp16len, temp16, cdy, dety); yylen = scale_expansion_zeroelim(ylen, dety, cdy, detyy); ytlen = scale_expansion_zeroelim(temp16len, temp16, cdytail, detyt); yytlen = scale_expansion_zeroelim(ytlen, detyt, cdy, detyyt); for (i = 0; i < yytlen; i++) { detyyt[i] *= 2.0; } ytytlen = scale_expansion_zeroelim(ytlen, detyt, cdytail, detytyt); y1len = fast_expansion_sum_zeroelim(yylen, detyy, yytlen, detyyt, y1); y2len = fast_expansion_sum_zeroelim(y1len, y1, ytytlen, detytyt, y2); clen = fast_expansion_sum_zeroelim(x2len, x2, y2len, y2, cdet); ablen = fast_expansion_sum_zeroelim(alen, adet, blen, bdet, abdet); deterlen = fast_expansion_sum_zeroelim(ablen, abdet, clen, cdet, deter); return deter[deterlen - 1]; } REAL incircleadapt(pa, pb, pc, pd, permanent) REAL *pa; REAL *pb; REAL *pc; REAL *pd; REAL permanent; { INEXACT REAL adx, bdx, cdx, ady, bdy, cdy; REAL det, errbound; INEXACT REAL bdxcdy1, cdxbdy1, cdxady1, adxcdy1, adxbdy1, bdxady1; REAL bdxcdy0, cdxbdy0, cdxady0, adxcdy0, adxbdy0, bdxady0; REAL bc[4], ca[4], ab[4]; INEXACT REAL bc3, ca3, ab3; REAL axbc[8], axxbc[16], aybc[8], ayybc[16], adet[32]; int axbclen, axxbclen, aybclen, ayybclen, alen; REAL bxca[8], bxxca[16], byca[8], byyca[16], bdet[32]; int bxcalen, bxxcalen, bycalen, byycalen, blen; REAL cxab[8], cxxab[16], cyab[8], cyyab[16], cdet[32]; int cxablen, cxxablen, cyablen, cyyablen, clen; REAL abdet[64]; int ablen; REAL fin1[1152], fin2[1152]; REAL *finnow, *finother, *finswap; int finlength; REAL adxtail, bdxtail, cdxtail, adytail, bdytail, cdytail; INEXACT REAL adxadx1, adyady1, bdxbdx1, bdybdy1, cdxcdx1, cdycdy1; REAL adxadx0, adyady0, bdxbdx0, bdybdy0, cdxcdx0, cdycdy0; REAL aa[4], bb[4], cc[4]; INEXACT REAL aa3, bb3, cc3; INEXACT REAL ti1, tj1; REAL ti0, tj0; REAL u[4], v[4]; INEXACT REAL u3, v3; REAL temp8[8], temp16a[16], temp16b[16], temp16c[16]; REAL temp32a[32], temp32b[32], temp48[48], temp64[64]; int temp8len, temp16alen, temp16blen, temp16clen; int temp32alen, temp32blen, temp48len, temp64len; REAL axtbb[8], axtcc[8], aytbb[8], aytcc[8]; int axtbblen, axtcclen, aytbblen, aytcclen; REAL bxtaa[8], bxtcc[8], bytaa[8], bytcc[8]; int bxtaalen, bxtcclen, bytaalen, bytcclen; REAL cxtaa[8], cxtbb[8], cytaa[8], cytbb[8]; int cxtaalen, cxtbblen, cytaalen, cytbblen; REAL axtbc[8], aytbc[8], bxtca[8], bytca[8], cxtab[8], cytab[8]; int axtbclen, aytbclen, bxtcalen, bytcalen, cxtablen, cytablen; REAL axtbct[16], aytbct[16], bxtcat[16], bytcat[16], cxtabt[16], cytabt[16]; int axtbctlen, aytbctlen, bxtcatlen, bytcatlen, cxtabtlen, cytabtlen; REAL axtbctt[8], aytbctt[8], bxtcatt[8]; REAL bytcatt[8], cxtabtt[8], cytabtt[8]; int axtbcttlen, aytbcttlen, bxtcattlen, bytcattlen, cxtabttlen, cytabttlen; REAL abt[8], bct[8], cat[8]; int abtlen, bctlen, catlen; REAL abtt[4], bctt[4], catt[4]; int abttlen, bcttlen, cattlen; INEXACT REAL abtt3, bctt3, catt3; REAL negate; INEXACT REAL bvirt; REAL avirt, bround, around; INEXACT REAL c; INEXACT REAL abig; REAL ahi, alo, bhi, blo; REAL err1, err2, err3; INEXACT REAL _i, _j; REAL _0; adx = (REAL) (pa[0] - pd[0]); bdx = (REAL) (pb[0] - pd[0]); cdx = (REAL) (pc[0] - pd[0]); ady = (REAL) (pa[1] - pd[1]); bdy = (REAL) (pb[1] - pd[1]); cdy = (REAL) (pc[1] - pd[1]); Two_Product(bdx, cdy, bdxcdy1, bdxcdy0); Two_Product(cdx, bdy, cdxbdy1, cdxbdy0); Two_Two_Diff(bdxcdy1, bdxcdy0, cdxbdy1, cdxbdy0, bc3, bc[2], bc[1], bc[0]); bc[3] = bc3; axbclen = scale_expansion_zeroelim(4, bc, adx, axbc); axxbclen = scale_expansion_zeroelim(axbclen, axbc, adx, axxbc); aybclen = scale_expansion_zeroelim(4, bc, ady, aybc); ayybclen = scale_expansion_zeroelim(aybclen, aybc, ady, ayybc); alen = fast_expansion_sum_zeroelim(axxbclen, axxbc, ayybclen, ayybc, adet); Two_Product(cdx, ady, cdxady1, cdxady0); Two_Product(adx, cdy, adxcdy1, adxcdy0); Two_Two_Diff(cdxady1, cdxady0, adxcdy1, adxcdy0, ca3, ca[2], ca[1], ca[0]); ca[3] = ca3; bxcalen = scale_expansion_zeroelim(4, ca, bdx, bxca); bxxcalen = scale_expansion_zeroelim(bxcalen, bxca, bdx, bxxca); bycalen = scale_expansion_zeroelim(4, ca, bdy, byca); byycalen = scale_expansion_zeroelim(bycalen, byca, bdy, byyca); blen = fast_expansion_sum_zeroelim(bxxcalen, bxxca, byycalen, byyca, bdet); Two_Product(adx, bdy, adxbdy1, adxbdy0); Two_Product(bdx, ady, bdxady1, bdxady0); Two_Two_Diff(adxbdy1, adxbdy0, bdxady1, bdxady0, ab3, ab[2], ab[1], ab[0]); ab[3] = ab3; cxablen = scale_expansion_zeroelim(4, ab, cdx, cxab); cxxablen = scale_expansion_zeroelim(cxablen, cxab, cdx, cxxab); cyablen = scale_expansion_zeroelim(4, ab, cdy, cyab); cyyablen = scale_expansion_zeroelim(cyablen, cyab, cdy, cyyab); clen = fast_expansion_sum_zeroelim(cxxablen, cxxab, cyyablen, cyyab, cdet); ablen = fast_expansion_sum_zeroelim(alen, adet, blen, bdet, abdet); finlength = fast_expansion_sum_zeroelim(ablen, abdet, clen, cdet, fin1); det = estimate(finlength, fin1); errbound = iccerrboundB * permanent; if ((det >= errbound) || (-det >= errbound)) { return det; } Two_Diff_Tail(pa[0], pd[0], adx, adxtail); Two_Diff_Tail(pa[1], pd[1], ady, adytail); Two_Diff_Tail(pb[0], pd[0], bdx, bdxtail); Two_Diff_Tail(pb[1], pd[1], bdy, bdytail); Two_Diff_Tail(pc[0], pd[0], cdx, cdxtail); Two_Diff_Tail(pc[1], pd[1], cdy, cdytail); if ((adxtail == 0.0) && (bdxtail == 0.0) && (cdxtail == 0.0) && (adytail == 0.0) && (bdytail == 0.0) && (cdytail == 0.0)) { return det; } errbound = iccerrboundC * permanent + resulterrbound * Absolute(det); det += ((adx * adx + ady * ady) * ((bdx * cdytail + cdy * bdxtail) - (bdy * cdxtail + cdx * bdytail)) + 2.0 * (adx * adxtail + ady * adytail) * (bdx * cdy - bdy * cdx)) + ((bdx * bdx + bdy * bdy) * ((cdx * adytail + ady * cdxtail) - (cdy * adxtail + adx * cdytail)) + 2.0 * (bdx * bdxtail + bdy * bdytail) * (cdx * ady - cdy * adx)) + ((cdx * cdx + cdy * cdy) * ((adx * bdytail + bdy * adxtail) - (ady * bdxtail + bdx * adytail)) + 2.0 * (cdx * cdxtail + cdy * cdytail) * (adx * bdy - ady * bdx)); if ((det >= errbound) || (-det >= errbound)) { return det; } finnow = fin1; finother = fin2; if ((bdxtail != 0.0) || (bdytail != 0.0) || (cdxtail != 0.0) || (cdytail != 0.0)) { Square(adx, adxadx1, adxadx0); Square(ady, adyady1, adyady0); Two_Two_Sum(adxadx1, adxadx0, adyady1, adyady0, aa3, aa[2], aa[1], aa[0]); aa[3] = aa3; } if ((cdxtail != 0.0) || (cdytail != 0.0) || (adxtail != 0.0) || (adytail != 0.0)) { Square(bdx, bdxbdx1, bdxbdx0); Square(bdy, bdybdy1, bdybdy0); Two_Two_Sum(bdxbdx1, bdxbdx0, bdybdy1, bdybdy0, bb3, bb[2], bb[1], bb[0]); bb[3] = bb3; } if ((adxtail != 0.0) || (adytail != 0.0) || (bdxtail != 0.0) || (bdytail != 0.0)) { Square(cdx, cdxcdx1, cdxcdx0); Square(cdy, cdycdy1, cdycdy0); Two_Two_Sum(cdxcdx1, cdxcdx0, cdycdy1, cdycdy0, cc3, cc[2], cc[1], cc[0]); cc[3] = cc3; } if (adxtail != 0.0) { axtbclen = scale_expansion_zeroelim(4, bc, adxtail, axtbc); temp16alen = scale_expansion_zeroelim(axtbclen, axtbc, 2.0 * adx, temp16a); axtcclen = scale_expansion_zeroelim(4, cc, adxtail, axtcc); temp16blen = scale_expansion_zeroelim(axtcclen, axtcc, bdy, temp16b); axtbblen = scale_expansion_zeroelim(4, bb, adxtail, axtbb); temp16clen = scale_expansion_zeroelim(axtbblen, axtbb, -cdy, temp16c); temp32alen = fast_expansion_sum_zeroelim(temp16alen, temp16a, temp16blen, temp16b, temp32a); temp48len = fast_expansion_sum_zeroelim(temp16clen, temp16c, temp32alen, temp32a, temp48); finlength = fast_expansion_sum_zeroelim(finlength, finnow, temp48len, temp48, finother); finswap = finnow; finnow = finother; finother = finswap; } if (adytail != 0.0) { aytbclen = scale_expansion_zeroelim(4, bc, adytail, aytbc); temp16alen = scale_expansion_zeroelim(aytbclen, aytbc, 2.0 * ady, temp16a); aytbblen = scale_expansion_zeroelim(4, bb, adytail, aytbb); temp16blen = scale_expansion_zeroelim(aytbblen, aytbb, cdx, temp16b); aytcclen = scale_expansion_zeroelim(4, cc, adytail, aytcc); temp16clen = scale_expansion_zeroelim(aytcclen, aytcc, -bdx, temp16c); temp32alen = fast_expansion_sum_zeroelim(temp16alen, temp16a, temp16blen, temp16b, temp32a); temp48len = fast_expansion_sum_zeroelim(temp16clen, temp16c, temp32alen, temp32a, temp48); finlength = fast_expansion_sum_zeroelim(finlength, finnow, temp48len, temp48, finother); finswap = finnow; finnow = finother; finother = finswap; } if (bdxtail != 0.0) { bxtcalen = scale_expansion_zeroelim(4, ca, bdxtail, bxtca); temp16alen = scale_expansion_zeroelim(bxtcalen, bxtca, 2.0 * bdx, temp16a); bxtaalen = scale_expansion_zeroelim(4, aa, bdxtail, bxtaa); temp16blen = scale_expansion_zeroelim(bxtaalen, bxtaa, cdy, temp16b); bxtcclen = scale_expansion_zeroelim(4, cc, bdxtail, bxtcc); temp16clen = scale_expansion_zeroelim(bxtcclen, bxtcc, -ady, temp16c); temp32alen = fast_expansion_sum_zeroelim(temp16alen, temp16a, temp16blen, temp16b, temp32a); temp48len = fast_expansion_sum_zeroelim(temp16clen, temp16c, temp32alen, temp32a, temp48); finlength = fast_expansion_sum_zeroelim(finlength, finnow, temp48len, temp48, finother); finswap = finnow; finnow = finother; finother = finswap; } if (bdytail != 0.0) { bytcalen = scale_expansion_zeroelim(4, ca, bdytail, bytca); temp16alen = scale_expansion_zeroelim(bytcalen, bytca, 2.0 * bdy, temp16a); bytcclen = scale_expansion_zeroelim(4, cc, bdytail, bytcc); temp16blen = scale_expansion_zeroelim(bytcclen, bytcc, adx, temp16b); bytaalen = scale_expansion_zeroelim(4, aa, bdytail, bytaa); temp16clen = scale_expansion_zeroelim(bytaalen, bytaa, -cdx, temp16c); temp32alen = fast_expansion_sum_zeroelim(temp16alen, temp16a, temp16blen, temp16b, temp32a); temp48len = fast_expansion_sum_zeroelim(temp16clen, temp16c, temp32alen, temp32a, temp48); finlength = fast_expansion_sum_zeroelim(finlength, finnow, temp48len, temp48, finother); finswap = finnow; finnow = finother; finother = finswap; } if (cdxtail != 0.0) { cxtablen = scale_expansion_zeroelim(4, ab, cdxtail, cxtab); temp16alen = scale_expansion_zeroelim(cxtablen, cxtab, 2.0 * cdx, temp16a); cxtbblen = scale_expansion_zeroelim(4, bb, cdxtail, cxtbb); temp16blen = scale_expansion_zeroelim(cxtbblen, cxtbb, ady, temp16b); cxtaalen = scale_expansion_zeroelim(4, aa, cdxtail, cxtaa); temp16clen = scale_expansion_zeroelim(cxtaalen, cxtaa, -bdy, temp16c); temp32alen = fast_expansion_sum_zeroelim(temp16alen, temp16a, temp16blen, temp16b, temp32a); temp48len = fast_expansion_sum_zeroelim(temp16clen, temp16c, temp32alen, temp32a, temp48); finlength = fast_expansion_sum_zeroelim(finlength, finnow, temp48len, temp48, finother); finswap = finnow; finnow = finother; finother = finswap; } if (cdytail != 0.0) { cytablen = scale_expansion_zeroelim(4, ab, cdytail, cytab); temp16alen = scale_expansion_zeroelim(cytablen, cytab, 2.0 * cdy, temp16a); cytaalen = scale_expansion_zeroelim(4, aa, cdytail, cytaa); temp16blen = scale_expansion_zeroelim(cytaalen, cytaa, bdx, temp16b); cytbblen = scale_expansion_zeroelim(4, bb, cdytail, cytbb); temp16clen = scale_expansion_zeroelim(cytbblen, cytbb, -adx, temp16c); temp32alen = fast_expansion_sum_zeroelim(temp16alen, temp16a, temp16blen, temp16b, temp32a); temp48len = fast_expansion_sum_zeroelim(temp16clen, temp16c, temp32alen, temp32a, temp48); finlength = fast_expansion_sum_zeroelim(finlength, finnow, temp48len, temp48, finother); finswap = finnow; finnow = finother; finother = finswap; } if ((adxtail != 0.0) || (adytail != 0.0)) { if ((bdxtail != 0.0) || (bdytail != 0.0) || (cdxtail != 0.0) || (cdytail != 0.0)) { Two_Product(bdxtail, cdy, ti1, ti0); Two_Product(bdx, cdytail, tj1, tj0); Two_Two_Sum(ti1, ti0, tj1, tj0, u3, u[2], u[1], u[0]); u[3] = u3; negate = -bdy; Two_Product(cdxtail, negate, ti1, ti0); negate = -bdytail; Two_Product(cdx, negate, tj1, tj0); Two_Two_Sum(ti1, ti0, tj1, tj0, v3, v[2], v[1], v[0]); v[3] = v3; bctlen = fast_expansion_sum_zeroelim(4, u, 4, v, bct); Two_Product(bdxtail, cdytail, ti1, ti0); Two_Product(cdxtail, bdytail, tj1, tj0); Two_Two_Diff(ti1, ti0, tj1, tj0, bctt3, bctt[2], bctt[1], bctt[0]); bctt[3] = bctt3; bcttlen = 4; } else { bct[0] = 0.0; bctlen = 1; bctt[0] = 0.0; bcttlen = 1; } if (adxtail != 0.0) { temp16alen = scale_expansion_zeroelim(axtbclen, axtbc, adxtail, temp16a); axtbctlen = scale_expansion_zeroelim(bctlen, bct, adxtail, axtbct); temp32alen = scale_expansion_zeroelim(axtbctlen, axtbct, 2.0 * adx, temp32a); temp48len = fast_expansion_sum_zeroelim(temp16alen, temp16a, temp32alen, temp32a, temp48); finlength = fast_expansion_sum_zeroelim(finlength, finnow, temp48len, temp48, finother); finswap = finnow; finnow = finother; finother = finswap; if (bdytail != 0.0) { temp8len = scale_expansion_zeroelim(4, cc, adxtail, temp8); temp16alen = scale_expansion_zeroelim(temp8len, temp8, bdytail, temp16a); finlength = fast_expansion_sum_zeroelim(finlength, finnow, temp16alen, temp16a, finother); finswap = finnow; finnow = finother; finother = finswap; } if (cdytail != 0.0) { temp8len = scale_expansion_zeroelim(4, bb, -adxtail, temp8); temp16alen = scale_expansion_zeroelim(temp8len, temp8, cdytail, temp16a); finlength = fast_expansion_sum_zeroelim(finlength, finnow, temp16alen, temp16a, finother); finswap = finnow; finnow = finother; finother = finswap; } temp32alen = scale_expansion_zeroelim(axtbctlen, axtbct, adxtail, temp32a); axtbcttlen = scale_expansion_zeroelim(bcttlen, bctt, adxtail, axtbctt); temp16alen = scale_expansion_zeroelim(axtbcttlen, axtbctt, 2.0 * adx, temp16a); temp16blen = scale_expansion_zeroelim(axtbcttlen, axtbctt, adxtail, temp16b); temp32blen = fast_expansion_sum_zeroelim(temp16alen, temp16a, temp16blen, temp16b, temp32b); temp64len = fast_expansion_sum_zeroelim(temp32alen, temp32a, temp32blen, temp32b, temp64); finlength = fast_expansion_sum_zeroelim(finlength, finnow, temp64len, temp64, finother); finswap = finnow; finnow = finother; finother = finswap; } if (adytail != 0.0) { temp16alen = scale_expansion_zeroelim(aytbclen, aytbc, adytail, temp16a); aytbctlen = scale_expansion_zeroelim(bctlen, bct, adytail, aytbct); temp32alen = scale_expansion_zeroelim(aytbctlen, aytbct, 2.0 * ady, temp32a); temp48len = fast_expansion_sum_zeroelim(temp16alen, temp16a, temp32alen, temp32a, temp48); finlength = fast_expansion_sum_zeroelim(finlength, finnow, temp48len, temp48, finother); finswap = finnow; finnow = finother; finother = finswap; temp32alen = scale_expansion_zeroelim(aytbctlen, aytbct, adytail, temp32a); aytbcttlen = scale_expansion_zeroelim(bcttlen, bctt, adytail, aytbctt); temp16alen = scale_expansion_zeroelim(aytbcttlen, aytbctt, 2.0 * ady, temp16a); temp16blen = scale_expansion_zeroelim(aytbcttlen, aytbctt, adytail, temp16b); temp32blen = fast_expansion_sum_zeroelim(temp16alen, temp16a, temp16blen, temp16b, temp32b); temp64len = fast_expansion_sum_zeroelim(temp32alen, temp32a, temp32blen, temp32b, temp64); finlength = fast_expansion_sum_zeroelim(finlength, finnow, temp64len, temp64, finother); finswap = finnow; finnow = finother; finother = finswap; } } if ((bdxtail != 0.0) || (bdytail != 0.0)) { if ((cdxtail != 0.0) || (cdytail != 0.0) || (adxtail != 0.0) || (adytail != 0.0)) { Two_Product(cdxtail, ady, ti1, ti0); Two_Product(cdx, adytail, tj1, tj0); Two_Two_Sum(ti1, ti0, tj1, tj0, u3, u[2], u[1], u[0]); u[3] = u3; negate = -cdy; Two_Product(adxtail, negate, ti1, ti0); negate = -cdytail; Two_Product(adx, negate, tj1, tj0); Two_Two_Sum(ti1, ti0, tj1, tj0, v3, v[2], v[1], v[0]); v[3] = v3; catlen = fast_expansion_sum_zeroelim(4, u, 4, v, cat); Two_Product(cdxtail, adytail, ti1, ti0); Two_Product(adxtail, cdytail, tj1, tj0); Two_Two_Diff(ti1, ti0, tj1, tj0, catt3, catt[2], catt[1], catt[0]); catt[3] = catt3; cattlen = 4; } else { cat[0] = 0.0; catlen = 1; catt[0] = 0.0; cattlen = 1; } if (bdxtail != 0.0) { temp16alen = scale_expansion_zeroelim(bxtcalen, bxtca, bdxtail, temp16a); bxtcatlen = scale_expansion_zeroelim(catlen, cat, bdxtail, bxtcat); temp32alen = scale_expansion_zeroelim(bxtcatlen, bxtcat, 2.0 * bdx, temp32a); temp48len = fast_expansion_sum_zeroelim(temp16alen, temp16a, temp32alen, temp32a, temp48); finlength = fast_expansion_sum_zeroelim(finlength, finnow, temp48len, temp48, finother); finswap = finnow; finnow = finother; finother = finswap; if (cdytail != 0.0) { temp8len = scale_expansion_zeroelim(4, aa, bdxtail, temp8); temp16alen = scale_expansion_zeroelim(temp8len, temp8, cdytail, temp16a); finlength = fast_expansion_sum_zeroelim(finlength, finnow, temp16alen, temp16a, finother); finswap = finnow; finnow = finother; finother = finswap; } if (adytail != 0.0) { temp8len = scale_expansion_zeroelim(4, cc, -bdxtail, temp8); temp16alen = scale_expansion_zeroelim(temp8len, temp8, adytail, temp16a); finlength = fast_expansion_sum_zeroelim(finlength, finnow, temp16alen, temp16a, finother); finswap = finnow; finnow = finother; finother = finswap; } temp32alen = scale_expansion_zeroelim(bxtcatlen, bxtcat, bdxtail, temp32a); bxtcattlen = scale_expansion_zeroelim(cattlen, catt, bdxtail, bxtcatt); temp16alen = scale_expansion_zeroelim(bxtcattlen, bxtcatt, 2.0 * bdx, temp16a); temp16blen = scale_expansion_zeroelim(bxtcattlen, bxtcatt, bdxtail, temp16b); temp32blen = fast_expansion_sum_zeroelim(temp16alen, temp16a, temp16blen, temp16b, temp32b); temp64len = fast_expansion_sum_zeroelim(temp32alen, temp32a, temp32blen, temp32b, temp64); finlength = fast_expansion_sum_zeroelim(finlength, finnow, temp64len, temp64, finother); finswap = finnow; finnow = finother; finother = finswap; } if (bdytail != 0.0) { temp16alen = scale_expansion_zeroelim(bytcalen, bytca, bdytail, temp16a); bytcatlen = scale_expansion_zeroelim(catlen, cat, bdytail, bytcat); temp32alen = scale_expansion_zeroelim(bytcatlen, bytcat, 2.0 * bdy, temp32a); temp48len = fast_expansion_sum_zeroelim(temp16alen, temp16a, temp32alen, temp32a, temp48); finlength = fast_expansion_sum_zeroelim(finlength, finnow, temp48len, temp48, finother); finswap = finnow; finnow = finother; finother = finswap; temp32alen = scale_expansion_zeroelim(bytcatlen, bytcat, bdytail, temp32a); bytcattlen = scale_expansion_zeroelim(cattlen, catt, bdytail, bytcatt); temp16alen = scale_expansion_zeroelim(bytcattlen, bytcatt, 2.0 * bdy, temp16a); temp16blen = scale_expansion_zeroelim(bytcattlen, bytcatt, bdytail, temp16b); temp32blen = fast_expansion_sum_zeroelim(temp16alen, temp16a, temp16blen, temp16b, temp32b); temp64len = fast_expansion_sum_zeroelim(temp32alen, temp32a, temp32blen, temp32b, temp64); finlength = fast_expansion_sum_zeroelim(finlength, finnow, temp64len, temp64, finother); finswap = finnow; finnow = finother; finother = finswap; } } if ((cdxtail != 0.0) || (cdytail != 0.0)) { if ((adxtail != 0.0) || (adytail != 0.0) || (bdxtail != 0.0) || (bdytail != 0.0)) { Two_Product(adxtail, bdy, ti1, ti0); Two_Product(adx, bdytail, tj1, tj0); Two_Two_Sum(ti1, ti0, tj1, tj0, u3, u[2], u[1], u[0]); u[3] = u3; negate = -ady; Two_Product(bdxtail, negate, ti1, ti0); negate = -adytail; Two_Product(bdx, negate, tj1, tj0); Two_Two_Sum(ti1, ti0, tj1, tj0, v3, v[2], v[1], v[0]); v[3] = v3; abtlen = fast_expansion_sum_zeroelim(4, u, 4, v, abt); Two_Product(adxtail, bdytail, ti1, ti0); Two_Product(bdxtail, adytail, tj1, tj0); Two_Two_Diff(ti1, ti0, tj1, tj0, abtt3, abtt[2], abtt[1], abtt[0]); abtt[3] = abtt3; abttlen = 4; } else { abt[0] = 0.0; abtlen = 1; abtt[0] = 0.0; abttlen = 1; } if (cdxtail != 0.0) { temp16alen = scale_expansion_zeroelim(cxtablen, cxtab, cdxtail, temp16a); cxtabtlen = scale_expansion_zeroelim(abtlen, abt, cdxtail, cxtabt); temp32alen = scale_expansion_zeroelim(cxtabtlen, cxtabt, 2.0 * cdx, temp32a); temp48len = fast_expansion_sum_zeroelim(temp16alen, temp16a, temp32alen, temp32a, temp48); finlength = fast_expansion_sum_zeroelim(finlength, finnow, temp48len, temp48, finother); finswap = finnow; finnow = finother; finother = finswap; if (adytail != 0.0) { temp8len = scale_expansion_zeroelim(4, bb, cdxtail, temp8); temp16alen = scale_expansion_zeroelim(temp8len, temp8, adytail, temp16a); finlength = fast_expansion_sum_zeroelim(finlength, finnow, temp16alen, temp16a, finother); finswap = finnow; finnow = finother; finother = finswap; } if (bdytail != 0.0) { temp8len = scale_expansion_zeroelim(4, aa, -cdxtail, temp8); temp16alen = scale_expansion_zeroelim(temp8len, temp8, bdytail, temp16a); finlength = fast_expansion_sum_zeroelim(finlength, finnow, temp16alen, temp16a, finother); finswap = finnow; finnow = finother; finother = finswap; } temp32alen = scale_expansion_zeroelim(cxtabtlen, cxtabt, cdxtail, temp32a); cxtabttlen = scale_expansion_zeroelim(abttlen, abtt, cdxtail, cxtabtt); temp16alen = scale_expansion_zeroelim(cxtabttlen, cxtabtt, 2.0 * cdx, temp16a); temp16blen = scale_expansion_zeroelim(cxtabttlen, cxtabtt, cdxtail, temp16b); temp32blen = fast_expansion_sum_zeroelim(temp16alen, temp16a, temp16blen, temp16b, temp32b); temp64len = fast_expansion_sum_zeroelim(temp32alen, temp32a, temp32blen, temp32b, temp64); finlength = fast_expansion_sum_zeroelim(finlength, finnow, temp64len, temp64, finother); finswap = finnow; finnow = finother; finother = finswap; } if (cdytail != 0.0) { temp16alen = scale_expansion_zeroelim(cytablen, cytab, cdytail, temp16a); cytabtlen = scale_expansion_zeroelim(abtlen, abt, cdytail, cytabt); temp32alen = scale_expansion_zeroelim(cytabtlen, cytabt, 2.0 * cdy, temp32a); temp48len = fast_expansion_sum_zeroelim(temp16alen, temp16a, temp32alen, temp32a, temp48); finlength = fast_expansion_sum_zeroelim(finlength, finnow, temp48len, temp48, finother); finswap = finnow; finnow = finother; finother = finswap; temp32alen = scale_expansion_zeroelim(cytabtlen, cytabt, cdytail, temp32a); cytabttlen = scale_expansion_zeroelim(abttlen, abtt, cdytail, cytabtt); temp16alen = scale_expansion_zeroelim(cytabttlen, cytabtt, 2.0 * cdy, temp16a); temp16blen = scale_expansion_zeroelim(cytabttlen, cytabtt, cdytail, temp16b); temp32blen = fast_expansion_sum_zeroelim(temp16alen, temp16a, temp16blen, temp16b, temp32b); temp64len = fast_expansion_sum_zeroelim(temp32alen, temp32a, temp32blen, temp32b, temp64); finlength = fast_expansion_sum_zeroelim(finlength, finnow, temp64len, temp64, finother); finswap = finnow; finnow = finother; finother = finswap; } } return finnow[finlength - 1]; } REAL incircle(pa, pb, pc, pd) REAL *pa; REAL *pb; REAL *pc; REAL *pd; { REAL adx, bdx, cdx, ady, bdy, cdy; REAL bdxcdy, cdxbdy, cdxady, adxcdy, adxbdy, bdxady; REAL alift, blift, clift; REAL det; REAL permanent, errbound; adx = pa[0] - pd[0]; bdx = pb[0] - pd[0]; cdx = pc[0] - pd[0]; ady = pa[1] - pd[1]; bdy = pb[1] - pd[1]; cdy = pc[1] - pd[1]; bdxcdy = bdx * cdy; cdxbdy = cdx * bdy; alift = adx * adx + ady * ady; cdxady = cdx * ady; adxcdy = adx * cdy; blift = bdx * bdx + bdy * bdy; adxbdy = adx * bdy; bdxady = bdx * ady; clift = cdx * cdx + cdy * cdy; det = alift * (bdxcdy - cdxbdy) + blift * (cdxady - adxcdy) + clift * (adxbdy - bdxady); permanent = (Absolute(bdxcdy) + Absolute(cdxbdy)) * alift + (Absolute(cdxady) + Absolute(adxcdy)) * blift + (Absolute(adxbdy) + Absolute(bdxady)) * clift; errbound = iccerrboundA * permanent; if ((det > errbound) || (-det > errbound)) { return det; } return incircleadapt(pa, pb, pc, pd, permanent); } /*****************************************************************************/ /* */ /* inspherefast() Approximate 3D insphere test. Nonrobust. */ /* insphereexact() Exact 3D insphere test. Robust. */ /* insphereslow() Another exact 3D insphere test. Robust. */ /* insphere() Adaptive exact 3D insphere test. Robust. */ /* */ /* Return a positive value if the point pe lies inside the */ /* sphere passing through pa, pb, pc, and pd; a negative value */ /* if it lies outside; and zero if the five points are */ /* cospherical. The points pa, pb, pc, and pd must be ordered */ /* so that they have a positive orientation (as defined by */ /* orient3d()), or the sign of the result will be reversed. */ /* */ /* Only the first and last routine should be used; the middle two are for */ /* timings. */ /* */ /* The last three use exact arithmetic to ensure a correct answer. The */ /* result returned is the determinant of a matrix. In insphere() only, */ /* this determinant is computed adaptively, in the sense that exact */ /* arithmetic is used only to the degree it is needed to ensure that the */ /* returned value has the correct sign. Hence, insphere() is usually quite */ /* fast, but will run more slowly when the input points are cospherical or */ /* nearly so. */ /* */ /*****************************************************************************/ REAL inspherefast(pa, pb, pc, pd, pe) REAL *pa; REAL *pb; REAL *pc; REAL *pd; REAL *pe; { REAL aex, bex, cex, dex; REAL aey, bey, cey, dey; REAL aez, bez, cez, dez; REAL alift, blift, clift, dlift; REAL ab, bc, cd, da, ac, bd; REAL abc, bcd, cda, dab; aex = pa[0] - pe[0]; bex = pb[0] - pe[0]; cex = pc[0] - pe[0]; dex = pd[0] - pe[0]; aey = pa[1] - pe[1]; bey = pb[1] - pe[1]; cey = pc[1] - pe[1]; dey = pd[1] - pe[1]; aez = pa[2] - pe[2]; bez = pb[2] - pe[2]; cez = pc[2] - pe[2]; dez = pd[2] - pe[2]; ab = aex * bey - bex * aey; bc = bex * cey - cex * bey; cd = cex * dey - dex * cey; da = dex * aey - aex * dey; ac = aex * cey - cex * aey; bd = bex * dey - dex * bey; abc = aez * bc - bez * ac + cez * ab; bcd = bez * cd - cez * bd + dez * bc; cda = cez * da + dez * ac + aez * cd; dab = dez * ab + aez * bd + bez * da; alift = aex * aex + aey * aey + aez * aez; blift = bex * bex + bey * bey + bez * bez; clift = cex * cex + cey * cey + cez * cez; dlift = dex * dex + dey * dey + dez * dez; return (dlift * abc - clift * dab) + (blift * cda - alift * bcd); } REAL insphereexact(pa, pb, pc, pd, pe) REAL *pa; REAL *pb; REAL *pc; REAL *pd; REAL *pe; { INEXACT REAL axby1, bxcy1, cxdy1, dxey1, exay1; INEXACT REAL bxay1, cxby1, dxcy1, exdy1, axey1; INEXACT REAL axcy1, bxdy1, cxey1, dxay1, exby1; INEXACT REAL cxay1, dxby1, excy1, axdy1, bxey1; REAL axby0, bxcy0, cxdy0, dxey0, exay0; REAL bxay0, cxby0, dxcy0, exdy0, axey0; REAL axcy0, bxdy0, cxey0, dxay0, exby0; REAL cxay0, dxby0, excy0, axdy0, bxey0; REAL ab[4], bc[4], cd[4], de[4], ea[4]; REAL ac[4], bd[4], ce[4], da[4], eb[4]; REAL temp8a[8], temp8b[8], temp16[16]; int temp8alen, temp8blen, temp16len; REAL abc[24], bcd[24], cde[24], dea[24], eab[24]; REAL abd[24], bce[24], cda[24], deb[24], eac[24]; int abclen, bcdlen, cdelen, dealen, eablen; int abdlen, bcelen, cdalen, deblen, eaclen; REAL temp48a[48], temp48b[48]; int temp48alen, temp48blen; REAL abcd[96], bcde[96], cdea[96], deab[96], eabc[96]; int abcdlen, bcdelen, cdealen, deablen, eabclen; REAL temp192[192]; REAL det384x[384], det384y[384], det384z[384]; int xlen, ylen, zlen; REAL detxy[768]; int xylen; REAL adet[1152], bdet[1152], cdet[1152], ddet[1152], edet[1152]; int alen, blen, clen, dlen, elen; REAL abdet[2304], cddet[2304], cdedet[3456]; int ablen, cdlen; REAL deter[5760]; int deterlen; int i; INEXACT REAL bvirt; REAL avirt, bround, around; INEXACT REAL c; INEXACT REAL abig; REAL ahi, alo, bhi, blo; REAL err1, err2, err3; INEXACT REAL _i, _j; REAL _0; Two_Product(pa[0], pb[1], axby1, axby0); Two_Product(pb[0], pa[1], bxay1, bxay0); Two_Two_Diff(axby1, axby0, bxay1, bxay0, ab[3], ab[2], ab[1], ab[0]); Two_Product(pb[0], pc[1], bxcy1, bxcy0); Two_Product(pc[0], pb[1], cxby1, cxby0); Two_Two_Diff(bxcy1, bxcy0, cxby1, cxby0, bc[3], bc[2], bc[1], bc[0]); Two_Product(pc[0], pd[1], cxdy1, cxdy0); Two_Product(pd[0], pc[1], dxcy1, dxcy0); Two_Two_Diff(cxdy1, cxdy0, dxcy1, dxcy0, cd[3], cd[2], cd[1], cd[0]); Two_Product(pd[0], pe[1], dxey1, dxey0); Two_Product(pe[0], pd[1], exdy1, exdy0); Two_Two_Diff(dxey1, dxey0, exdy1, exdy0, de[3], de[2], de[1], de[0]); Two_Product(pe[0], pa[1], exay1, exay0); Two_Product(pa[0], pe[1], axey1, axey0); Two_Two_Diff(exay1, exay0, axey1, axey0, ea[3], ea[2], ea[1], ea[0]); Two_Product(pa[0], pc[1], axcy1, axcy0); Two_Product(pc[0], pa[1], cxay1, cxay0); Two_Two_Diff(axcy1, axcy0, cxay1, cxay0, ac[3], ac[2], ac[1], ac[0]); Two_Product(pb[0], pd[1], bxdy1, bxdy0); Two_Product(pd[0], pb[1], dxby1, dxby0); Two_Two_Diff(bxdy1, bxdy0, dxby1, dxby0, bd[3], bd[2], bd[1], bd[0]); Two_Product(pc[0], pe[1], cxey1, cxey0); Two_Product(pe[0], pc[1], excy1, excy0); Two_Two_Diff(cxey1, cxey0, excy1, excy0, ce[3], ce[2], ce[1], ce[0]); Two_Product(pd[0], pa[1], dxay1, dxay0); Two_Product(pa[0], pd[1], axdy1, axdy0); Two_Two_Diff(dxay1, dxay0, axdy1, axdy0, da[3], da[2], da[1], da[0]); Two_Product(pe[0], pb[1], exby1, exby0); Two_Product(pb[0], pe[1], bxey1, bxey0); Two_Two_Diff(exby1, exby0, bxey1, bxey0, eb[3], eb[2], eb[1], eb[0]); temp8alen = scale_expansion_zeroelim(4, bc, pa[2], temp8a); temp8blen = scale_expansion_zeroelim(4, ac, -pb[2], temp8b); temp16len = fast_expansion_sum_zeroelim(temp8alen, temp8a, temp8blen, temp8b, temp16); temp8alen = scale_expansion_zeroelim(4, ab, pc[2], temp8a); abclen = fast_expansion_sum_zeroelim(temp8alen, temp8a, temp16len, temp16, abc); temp8alen = scale_expansion_zeroelim(4, cd, pb[2], temp8a); temp8blen = scale_expansion_zeroelim(4, bd, -pc[2], temp8b); temp16len = fast_expansion_sum_zeroelim(temp8alen, temp8a, temp8blen, temp8b, temp16); temp8alen = scale_expansion_zeroelim(4, bc, pd[2], temp8a); bcdlen = fast_expansion_sum_zeroelim(temp8alen, temp8a, temp16len, temp16, bcd); temp8alen = scale_expansion_zeroelim(4, de, pc[2], temp8a); temp8blen = scale_expansion_zeroelim(4, ce, -pd[2], temp8b); temp16len = fast_expansion_sum_zeroelim(temp8alen, temp8a, temp8blen, temp8b, temp16); temp8alen = scale_expansion_zeroelim(4, cd, pe[2], temp8a); cdelen = fast_expansion_sum_zeroelim(temp8alen, temp8a, temp16len, temp16, cde); temp8alen = scale_expansion_zeroelim(4, ea, pd[2], temp8a); temp8blen = scale_expansion_zeroelim(4, da, -pe[2], temp8b); temp16len = fast_expansion_sum_zeroelim(temp8alen, temp8a, temp8blen, temp8b, temp16); temp8alen = scale_expansion_zeroelim(4, de, pa[2], temp8a); dealen = fast_expansion_sum_zeroelim(temp8alen, temp8a, temp16len, temp16, dea); temp8alen = scale_expansion_zeroelim(4, ab, pe[2], temp8a); temp8blen = scale_expansion_zeroelim(4, eb, -pa[2], temp8b); temp16len = fast_expansion_sum_zeroelim(temp8alen, temp8a, temp8blen, temp8b, temp16); temp8alen = scale_expansion_zeroelim(4, ea, pb[2], temp8a); eablen = fast_expansion_sum_zeroelim(temp8alen, temp8a, temp16len, temp16, eab); temp8alen = scale_expansion_zeroelim(4, bd, pa[2], temp8a); temp8blen = scale_expansion_zeroelim(4, da, pb[2], temp8b); temp16len = fast_expansion_sum_zeroelim(temp8alen, temp8a, temp8blen, temp8b, temp16); temp8alen = scale_expansion_zeroelim(4, ab, pd[2], temp8a); abdlen = fast_expansion_sum_zeroelim(temp8alen, temp8a, temp16len, temp16, abd); temp8alen = scale_expansion_zeroelim(4, ce, pb[2], temp8a); temp8blen = scale_expansion_zeroelim(4, eb, pc[2], temp8b); temp16len = fast_expansion_sum_zeroelim(temp8alen, temp8a, temp8blen, temp8b, temp16); temp8alen = scale_expansion_zeroelim(4, bc, pe[2], temp8a); bcelen = fast_expansion_sum_zeroelim(temp8alen, temp8a, temp16len, temp16, bce); temp8alen = scale_expansion_zeroelim(4, da, pc[2], temp8a); temp8blen = scale_expansion_zeroelim(4, ac, pd[2], temp8b); temp16len = fast_expansion_sum_zeroelim(temp8alen, temp8a, temp8blen, temp8b, temp16); temp8alen = scale_expansion_zeroelim(4, cd, pa[2], temp8a); cdalen = fast_expansion_sum_zeroelim(temp8alen, temp8a, temp16len, temp16, cda); temp8alen = scale_expansion_zeroelim(4, eb, pd[2], temp8a); temp8blen = scale_expansion_zeroelim(4, bd, pe[2], temp8b); temp16len = fast_expansion_sum_zeroelim(temp8alen, temp8a, temp8blen, temp8b, temp16); temp8alen = scale_expansion_zeroelim(4, de, pb[2], temp8a); deblen = fast_expansion_sum_zeroelim(temp8alen, temp8a, temp16len, temp16, deb); temp8alen = scale_expansion_zeroelim(4, ac, pe[2], temp8a); temp8blen = scale_expansion_zeroelim(4, ce, pa[2], temp8b); temp16len = fast_expansion_sum_zeroelim(temp8alen, temp8a, temp8blen, temp8b, temp16); temp8alen = scale_expansion_zeroelim(4, ea, pc[2], temp8a); eaclen = fast_expansion_sum_zeroelim(temp8alen, temp8a, temp16len, temp16, eac); temp48alen = fast_expansion_sum_zeroelim(cdelen, cde, bcelen, bce, temp48a); temp48blen = fast_expansion_sum_zeroelim(deblen, deb, bcdlen, bcd, temp48b); for (i = 0; i < temp48blen; i++) { temp48b[i] = -temp48b[i]; } bcdelen = fast_expansion_sum_zeroelim(temp48alen, temp48a, temp48blen, temp48b, bcde); xlen = scale_expansion_zeroelim(bcdelen, bcde, pa[0], temp192); xlen = scale_expansion_zeroelim(xlen, temp192, pa[0], det384x); ylen = scale_expansion_zeroelim(bcdelen, bcde, pa[1], temp192); ylen = scale_expansion_zeroelim(ylen, temp192, pa[1], det384y); zlen = scale_expansion_zeroelim(bcdelen, bcde, pa[2], temp192); zlen = scale_expansion_zeroelim(zlen, temp192, pa[2], det384z); xylen = fast_expansion_sum_zeroelim(xlen, det384x, ylen, det384y, detxy); alen = fast_expansion_sum_zeroelim(xylen, detxy, zlen, det384z, adet); temp48alen = fast_expansion_sum_zeroelim(dealen, dea, cdalen, cda, temp48a); temp48blen = fast_expansion_sum_zeroelim(eaclen, eac, cdelen, cde, temp48b); for (i = 0; i < temp48blen; i++) { temp48b[i] = -temp48b[i]; } cdealen = fast_expansion_sum_zeroelim(temp48alen, temp48a, temp48blen, temp48b, cdea); xlen = scale_expansion_zeroelim(cdealen, cdea, pb[0], temp192); xlen = scale_expansion_zeroelim(xlen, temp192, pb[0], det384x); ylen = scale_expansion_zeroelim(cdealen, cdea, pb[1], temp192); ylen = scale_expansion_zeroelim(ylen, temp192, pb[1], det384y); zlen = scale_expansion_zeroelim(cdealen, cdea, pb[2], temp192); zlen = scale_expansion_zeroelim(zlen, temp192, pb[2], det384z); xylen = fast_expansion_sum_zeroelim(xlen, det384x, ylen, det384y, detxy); blen = fast_expansion_sum_zeroelim(xylen, detxy, zlen, det384z, bdet); temp48alen = fast_expansion_sum_zeroelim(eablen, eab, deblen, deb, temp48a); temp48blen = fast_expansion_sum_zeroelim(abdlen, abd, dealen, dea, temp48b); for (i = 0; i < temp48blen; i++) { temp48b[i] = -temp48b[i]; } deablen = fast_expansion_sum_zeroelim(temp48alen, temp48a, temp48blen, temp48b, deab); xlen = scale_expansion_zeroelim(deablen, deab, pc[0], temp192); xlen = scale_expansion_zeroelim(xlen, temp192, pc[0], det384x); ylen = scale_expansion_zeroelim(deablen, deab, pc[1], temp192); ylen = scale_expansion_zeroelim(ylen, temp192, pc[1], det384y); zlen = scale_expansion_zeroelim(deablen, deab, pc[2], temp192); zlen = scale_expansion_zeroelim(zlen, temp192, pc[2], det384z); xylen = fast_expansion_sum_zeroelim(xlen, det384x, ylen, det384y, detxy); clen = fast_expansion_sum_zeroelim(xylen, detxy, zlen, det384z, cdet); temp48alen = fast_expansion_sum_zeroelim(abclen, abc, eaclen, eac, temp48a); temp48blen = fast_expansion_sum_zeroelim(bcelen, bce, eablen, eab, temp48b); for (i = 0; i < temp48blen; i++) { temp48b[i] = -temp48b[i]; } eabclen = fast_expansion_sum_zeroelim(temp48alen, temp48a, temp48blen, temp48b, eabc); xlen = scale_expansion_zeroelim(eabclen, eabc, pd[0], temp192); xlen = scale_expansion_zeroelim(xlen, temp192, pd[0], det384x); ylen = scale_expansion_zeroelim(eabclen, eabc, pd[1], temp192); ylen = scale_expansion_zeroelim(ylen, temp192, pd[1], det384y); zlen = scale_expansion_zeroelim(eabclen, eabc, pd[2], temp192); zlen = scale_expansion_zeroelim(zlen, temp192, pd[2], det384z); xylen = fast_expansion_sum_zeroelim(xlen, det384x, ylen, det384y, detxy); dlen = fast_expansion_sum_zeroelim(xylen, detxy, zlen, det384z, ddet); temp48alen = fast_expansion_sum_zeroelim(bcdlen, bcd, abdlen, abd, temp48a); temp48blen = fast_expansion_sum_zeroelim(cdalen, cda, abclen, abc, temp48b); for (i = 0; i < temp48blen; i++) { temp48b[i] = -temp48b[i]; } abcdlen = fast_expansion_sum_zeroelim(temp48alen, temp48a, temp48blen, temp48b, abcd); xlen = scale_expansion_zeroelim(abcdlen, abcd, pe[0], temp192); xlen = scale_expansion_zeroelim(xlen, temp192, pe[0], det384x); ylen = scale_expansion_zeroelim(abcdlen, abcd, pe[1], temp192); ylen = scale_expansion_zeroelim(ylen, temp192, pe[1], det384y); zlen = scale_expansion_zeroelim(abcdlen, abcd, pe[2], temp192); zlen = scale_expansion_zeroelim(zlen, temp192, pe[2], det384z); xylen = fast_expansion_sum_zeroelim(xlen, det384x, ylen, det384y, detxy); elen = fast_expansion_sum_zeroelim(xylen, detxy, zlen, det384z, edet); ablen = fast_expansion_sum_zeroelim(alen, adet, blen, bdet, abdet); cdlen = fast_expansion_sum_zeroelim(clen, cdet, dlen, ddet, cddet); cdelen = fast_expansion_sum_zeroelim(cdlen, cddet, elen, edet, cdedet); deterlen = fast_expansion_sum_zeroelim(ablen, abdet, cdelen, cdedet, deter); return deter[deterlen - 1]; } REAL insphereslow(pa, pb, pc, pd, pe) REAL *pa; REAL *pb; REAL *pc; REAL *pd; REAL *pe; { INEXACT REAL aex, bex, cex, dex, aey, bey, cey, dey, aez, bez, cez, dez; REAL aextail, bextail, cextail, dextail; REAL aeytail, beytail, ceytail, deytail; REAL aeztail, beztail, ceztail, deztail; REAL negate, negatetail; INEXACT REAL axby7, bxcy7, cxdy7, dxay7, axcy7, bxdy7; INEXACT REAL bxay7, cxby7, dxcy7, axdy7, cxay7, dxby7; REAL axby[8], bxcy[8], cxdy[8], dxay[8], axcy[8], bxdy[8]; REAL bxay[8], cxby[8], dxcy[8], axdy[8], cxay[8], dxby[8]; REAL ab[16], bc[16], cd[16], da[16], ac[16], bd[16]; int ablen, bclen, cdlen, dalen, aclen, bdlen; REAL temp32a[32], temp32b[32], temp64a[64], temp64b[64], temp64c[64]; int temp32alen, temp32blen, temp64alen, temp64blen, temp64clen; REAL temp128[128], temp192[192]; int temp128len, temp192len; REAL detx[384], detxx[768], detxt[384], detxxt[768], detxtxt[768]; int xlen, xxlen, xtlen, xxtlen, xtxtlen; REAL x1[1536], x2[2304]; int x1len, x2len; REAL dety[384], detyy[768], detyt[384], detyyt[768], detytyt[768]; int ylen, yylen, ytlen, yytlen, ytytlen; REAL y1[1536], y2[2304]; int y1len, y2len; REAL detz[384], detzz[768], detzt[384], detzzt[768], detztzt[768]; int zlen, zzlen, ztlen, zztlen, ztztlen; REAL z1[1536], z2[2304]; int z1len, z2len; REAL detxy[4608]; int xylen; REAL adet[6912], bdet[6912], cdet[6912], ddet[6912]; int alen, blen, clen, dlen; REAL abdet[13824], cddet[13824], deter[27648]; int deterlen; int i; INEXACT REAL bvirt; REAL avirt, bround, around; INEXACT REAL c; INEXACT REAL abig; REAL a0hi, a0lo, a1hi, a1lo, bhi, blo; REAL err1, err2, err3; INEXACT REAL _i, _j, _k, _l, _m, _n; REAL _0, _1, _2; Two_Diff(pa[0], pe[0], aex, aextail); Two_Diff(pa[1], pe[1], aey, aeytail); Two_Diff(pa[2], pe[2], aez, aeztail); Two_Diff(pb[0], pe[0], bex, bextail); Two_Diff(pb[1], pe[1], bey, beytail); Two_Diff(pb[2], pe[2], bez, beztail); Two_Diff(pc[0], pe[0], cex, cextail); Two_Diff(pc[1], pe[1], cey, ceytail); Two_Diff(pc[2], pe[2], cez, ceztail); Two_Diff(pd[0], pe[0], dex, dextail); Two_Diff(pd[1], pe[1], dey, deytail); Two_Diff(pd[2], pe[2], dez, deztail); Two_Two_Product(aex, aextail, bey, beytail, axby7, axby[6], axby[5], axby[4], axby[3], axby[2], axby[1], axby[0]); axby[7] = axby7; negate = -aey; negatetail = -aeytail; Two_Two_Product(bex, bextail, negate, negatetail, bxay7, bxay[6], bxay[5], bxay[4], bxay[3], bxay[2], bxay[1], bxay[0]); bxay[7] = bxay7; ablen = fast_expansion_sum_zeroelim(8, axby, 8, bxay, ab); Two_Two_Product(bex, bextail, cey, ceytail, bxcy7, bxcy[6], bxcy[5], bxcy[4], bxcy[3], bxcy[2], bxcy[1], bxcy[0]); bxcy[7] = bxcy7; negate = -bey; negatetail = -beytail; Two_Two_Product(cex, cextail, negate, negatetail, cxby7, cxby[6], cxby[5], cxby[4], cxby[3], cxby[2], cxby[1], cxby[0]); cxby[7] = cxby7; bclen = fast_expansion_sum_zeroelim(8, bxcy, 8, cxby, bc); Two_Two_Product(cex, cextail, dey, deytail, cxdy7, cxdy[6], cxdy[5], cxdy[4], cxdy[3], cxdy[2], cxdy[1], cxdy[0]); cxdy[7] = cxdy7; negate = -cey; negatetail = -ceytail; Two_Two_Product(dex, dextail, negate, negatetail, dxcy7, dxcy[6], dxcy[5], dxcy[4], dxcy[3], dxcy[2], dxcy[1], dxcy[0]); dxcy[7] = dxcy7; cdlen = fast_expansion_sum_zeroelim(8, cxdy, 8, dxcy, cd); Two_Two_Product(dex, dextail, aey, aeytail, dxay7, dxay[6], dxay[5], dxay[4], dxay[3], dxay[2], dxay[1], dxay[0]); dxay[7] = dxay7; negate = -dey; negatetail = -deytail; Two_Two_Product(aex, aextail, negate, negatetail, axdy7, axdy[6], axdy[5], axdy[4], axdy[3], axdy[2], axdy[1], axdy[0]); axdy[7] = axdy7; dalen = fast_expansion_sum_zeroelim(8, dxay, 8, axdy, da); Two_Two_Product(aex, aextail, cey, ceytail, axcy7, axcy[6], axcy[5], axcy[4], axcy[3], axcy[2], axcy[1], axcy[0]); axcy[7] = axcy7; negate = -aey; negatetail = -aeytail; Two_Two_Product(cex, cextail, negate, negatetail, cxay7, cxay[6], cxay[5], cxay[4], cxay[3], cxay[2], cxay[1], cxay[0]); cxay[7] = cxay7; aclen = fast_expansion_sum_zeroelim(8, axcy, 8, cxay, ac); Two_Two_Product(bex, bextail, dey, deytail, bxdy7, bxdy[6], bxdy[5], bxdy[4], bxdy[3], bxdy[2], bxdy[1], bxdy[0]); bxdy[7] = bxdy7; negate = -bey; negatetail = -beytail; Two_Two_Product(dex, dextail, negate, negatetail, dxby7, dxby[6], dxby[5], dxby[4], dxby[3], dxby[2], dxby[1], dxby[0]); dxby[7] = dxby7; bdlen = fast_expansion_sum_zeroelim(8, bxdy, 8, dxby, bd); temp32alen = scale_expansion_zeroelim(cdlen, cd, -bez, temp32a); temp32blen = scale_expansion_zeroelim(cdlen, cd, -beztail, temp32b); temp64alen = fast_expansion_sum_zeroelim(temp32alen, temp32a, temp32blen, temp32b, temp64a); temp32alen = scale_expansion_zeroelim(bdlen, bd, cez, temp32a); temp32blen = scale_expansion_zeroelim(bdlen, bd, ceztail, temp32b); temp64blen = fast_expansion_sum_zeroelim(temp32alen, temp32a, temp32blen, temp32b, temp64b); temp32alen = scale_expansion_zeroelim(bclen, bc, -dez, temp32a); temp32blen = scale_expansion_zeroelim(bclen, bc, -deztail, temp32b); temp64clen = fast_expansion_sum_zeroelim(temp32alen, temp32a, temp32blen, temp32b, temp64c); temp128len = fast_expansion_sum_zeroelim(temp64alen, temp64a, temp64blen, temp64b, temp128); temp192len = fast_expansion_sum_zeroelim(temp64clen, temp64c, temp128len, temp128, temp192); xlen = scale_expansion_zeroelim(temp192len, temp192, aex, detx); xxlen = scale_expansion_zeroelim(xlen, detx, aex, detxx); xtlen = scale_expansion_zeroelim(temp192len, temp192, aextail, detxt); xxtlen = scale_expansion_zeroelim(xtlen, detxt, aex, detxxt); for (i = 0; i < xxtlen; i++) { detxxt[i] *= 2.0; } xtxtlen = scale_expansion_zeroelim(xtlen, detxt, aextail, detxtxt); x1len = fast_expansion_sum_zeroelim(xxlen, detxx, xxtlen, detxxt, x1); x2len = fast_expansion_sum_zeroelim(x1len, x1, xtxtlen, detxtxt, x2); ylen = scale_expansion_zeroelim(temp192len, temp192, aey, dety); yylen = scale_expansion_zeroelim(ylen, dety, aey, detyy); ytlen = scale_expansion_zeroelim(temp192len, temp192, aeytail, detyt); yytlen = scale_expansion_zeroelim(ytlen, detyt, aey, detyyt); for (i = 0; i < yytlen; i++) { detyyt[i] *= 2.0; } ytytlen = scale_expansion_zeroelim(ytlen, detyt, aeytail, detytyt); y1len = fast_expansion_sum_zeroelim(yylen, detyy, yytlen, detyyt, y1); y2len = fast_expansion_sum_zeroelim(y1len, y1, ytytlen, detytyt, y2); zlen = scale_expansion_zeroelim(temp192len, temp192, aez, detz); zzlen = scale_expansion_zeroelim(zlen, detz, aez, detzz); ztlen = scale_expansion_zeroelim(temp192len, temp192, aeztail, detzt); zztlen = scale_expansion_zeroelim(ztlen, detzt, aez, detzzt); for (i = 0; i < zztlen; i++) { detzzt[i] *= 2.0; } ztztlen = scale_expansion_zeroelim(ztlen, detzt, aeztail, detztzt); z1len = fast_expansion_sum_zeroelim(zzlen, detzz, zztlen, detzzt, z1); z2len = fast_expansion_sum_zeroelim(z1len, z1, ztztlen, detztzt, z2); xylen = fast_expansion_sum_zeroelim(x2len, x2, y2len, y2, detxy); alen = fast_expansion_sum_zeroelim(z2len, z2, xylen, detxy, adet); temp32alen = scale_expansion_zeroelim(dalen, da, cez, temp32a); temp32blen = scale_expansion_zeroelim(dalen, da, ceztail, temp32b); temp64alen = fast_expansion_sum_zeroelim(temp32alen, temp32a, temp32blen, temp32b, temp64a); temp32alen = scale_expansion_zeroelim(aclen, ac, dez, temp32a); temp32blen = scale_expansion_zeroelim(aclen, ac, deztail, temp32b); temp64blen = fast_expansion_sum_zeroelim(temp32alen, temp32a, temp32blen, temp32b, temp64b); temp32alen = scale_expansion_zeroelim(cdlen, cd, aez, temp32a); temp32blen = scale_expansion_zeroelim(cdlen, cd, aeztail, temp32b); temp64clen = fast_expansion_sum_zeroelim(temp32alen, temp32a, temp32blen, temp32b, temp64c); temp128len = fast_expansion_sum_zeroelim(temp64alen, temp64a, temp64blen, temp64b, temp128); temp192len = fast_expansion_sum_zeroelim(temp64clen, temp64c, temp128len, temp128, temp192); xlen = scale_expansion_zeroelim(temp192len, temp192, bex, detx); xxlen = scale_expansion_zeroelim(xlen, detx, bex, detxx); xtlen = scale_expansion_zeroelim(temp192len, temp192, bextail, detxt); xxtlen = scale_expansion_zeroelim(xtlen, detxt, bex, detxxt); for (i = 0; i < xxtlen; i++) { detxxt[i] *= 2.0; } xtxtlen = scale_expansion_zeroelim(xtlen, detxt, bextail, detxtxt); x1len = fast_expansion_sum_zeroelim(xxlen, detxx, xxtlen, detxxt, x1); x2len = fast_expansion_sum_zeroelim(x1len, x1, xtxtlen, detxtxt, x2); ylen = scale_expansion_zeroelim(temp192len, temp192, bey, dety); yylen = scale_expansion_zeroelim(ylen, dety, bey, detyy); ytlen = scale_expansion_zeroelim(temp192len, temp192, beytail, detyt); yytlen = scale_expansion_zeroelim(ytlen, detyt, bey, detyyt); for (i = 0; i < yytlen; i++) { detyyt[i] *= 2.0; } ytytlen = scale_expansion_zeroelim(ytlen, detyt, beytail, detytyt); y1len = fast_expansion_sum_zeroelim(yylen, detyy, yytlen, detyyt, y1); y2len = fast_expansion_sum_zeroelim(y1len, y1, ytytlen, detytyt, y2); zlen = scale_expansion_zeroelim(temp192len, temp192, bez, detz); zzlen = scale_expansion_zeroelim(zlen, detz, bez, detzz); ztlen = scale_expansion_zeroelim(temp192len, temp192, beztail, detzt); zztlen = scale_expansion_zeroelim(ztlen, detzt, bez, detzzt); for (i = 0; i < zztlen; i++) { detzzt[i] *= 2.0; } ztztlen = scale_expansion_zeroelim(ztlen, detzt, beztail, detztzt); z1len = fast_expansion_sum_zeroelim(zzlen, detzz, zztlen, detzzt, z1); z2len = fast_expansion_sum_zeroelim(z1len, z1, ztztlen, detztzt, z2); xylen = fast_expansion_sum_zeroelim(x2len, x2, y2len, y2, detxy); blen = fast_expansion_sum_zeroelim(z2len, z2, xylen, detxy, bdet); temp32alen = scale_expansion_zeroelim(ablen, ab, -dez, temp32a); temp32blen = scale_expansion_zeroelim(ablen, ab, -deztail, temp32b); temp64alen = fast_expansion_sum_zeroelim(temp32alen, temp32a, temp32blen, temp32b, temp64a); temp32alen = scale_expansion_zeroelim(bdlen, bd, -aez, temp32a); temp32blen = scale_expansion_zeroelim(bdlen, bd, -aeztail, temp32b); temp64blen = fast_expansion_sum_zeroelim(temp32alen, temp32a, temp32blen, temp32b, temp64b); temp32alen = scale_expansion_zeroelim(dalen, da, -bez, temp32a); temp32blen = scale_expansion_zeroelim(dalen, da, -beztail, temp32b); temp64clen = fast_expansion_sum_zeroelim(temp32alen, temp32a, temp32blen, temp32b, temp64c); temp128len = fast_expansion_sum_zeroelim(temp64alen, temp64a, temp64blen, temp64b, temp128); temp192len = fast_expansion_sum_zeroelim(temp64clen, temp64c, temp128len, temp128, temp192); xlen = scale_expansion_zeroelim(temp192len, temp192, cex, detx); xxlen = scale_expansion_zeroelim(xlen, detx, cex, detxx); xtlen = scale_expansion_zeroelim(temp192len, temp192, cextail, detxt); xxtlen = scale_expansion_zeroelim(xtlen, detxt, cex, detxxt); for (i = 0; i < xxtlen; i++) { detxxt[i] *= 2.0; } xtxtlen = scale_expansion_zeroelim(xtlen, detxt, cextail, detxtxt); x1len = fast_expansion_sum_zeroelim(xxlen, detxx, xxtlen, detxxt, x1); x2len = fast_expansion_sum_zeroelim(x1len, x1, xtxtlen, detxtxt, x2); ylen = scale_expansion_zeroelim(temp192len, temp192, cey, dety); yylen = scale_expansion_zeroelim(ylen, dety, cey, detyy); ytlen = scale_expansion_zeroelim(temp192len, temp192, ceytail, detyt); yytlen = scale_expansion_zeroelim(ytlen, detyt, cey, detyyt); for (i = 0; i < yytlen; i++) { detyyt[i] *= 2.0; } ytytlen = scale_expansion_zeroelim(ytlen, detyt, ceytail, detytyt); y1len = fast_expansion_sum_zeroelim(yylen, detyy, yytlen, detyyt, y1); y2len = fast_expansion_sum_zeroelim(y1len, y1, ytytlen, detytyt, y2); zlen = scale_expansion_zeroelim(temp192len, temp192, cez, detz); zzlen = scale_expansion_zeroelim(zlen, detz, cez, detzz); ztlen = scale_expansion_zeroelim(temp192len, temp192, ceztail, detzt); zztlen = scale_expansion_zeroelim(ztlen, detzt, cez, detzzt); for (i = 0; i < zztlen; i++) { detzzt[i] *= 2.0; } ztztlen = scale_expansion_zeroelim(ztlen, detzt, ceztail, detztzt); z1len = fast_expansion_sum_zeroelim(zzlen, detzz, zztlen, detzzt, z1); z2len = fast_expansion_sum_zeroelim(z1len, z1, ztztlen, detztzt, z2); xylen = fast_expansion_sum_zeroelim(x2len, x2, y2len, y2, detxy); clen = fast_expansion_sum_zeroelim(z2len, z2, xylen, detxy, cdet); temp32alen = scale_expansion_zeroelim(bclen, bc, aez, temp32a); temp32blen = scale_expansion_zeroelim(bclen, bc, aeztail, temp32b); temp64alen = fast_expansion_sum_zeroelim(temp32alen, temp32a, temp32blen, temp32b, temp64a); temp32alen = scale_expansion_zeroelim(aclen, ac, -bez, temp32a); temp32blen = scale_expansion_zeroelim(aclen, ac, -beztail, temp32b); temp64blen = fast_expansion_sum_zeroelim(temp32alen, temp32a, temp32blen, temp32b, temp64b); temp32alen = scale_expansion_zeroelim(ablen, ab, cez, temp32a); temp32blen = scale_expansion_zeroelim(ablen, ab, ceztail, temp32b); temp64clen = fast_expansion_sum_zeroelim(temp32alen, temp32a, temp32blen, temp32b, temp64c); temp128len = fast_expansion_sum_zeroelim(temp64alen, temp64a, temp64blen, temp64b, temp128); temp192len = fast_expansion_sum_zeroelim(temp64clen, temp64c, temp128len, temp128, temp192); xlen = scale_expansion_zeroelim(temp192len, temp192, dex, detx); xxlen = scale_expansion_zeroelim(xlen, detx, dex, detxx); xtlen = scale_expansion_zeroelim(temp192len, temp192, dextail, detxt); xxtlen = scale_expansion_zeroelim(xtlen, detxt, dex, detxxt); for (i = 0; i < xxtlen; i++) { detxxt[i] *= 2.0; } xtxtlen = scale_expansion_zeroelim(xtlen, detxt, dextail, detxtxt); x1len = fast_expansion_sum_zeroelim(xxlen, detxx, xxtlen, detxxt, x1); x2len = fast_expansion_sum_zeroelim(x1len, x1, xtxtlen, detxtxt, x2); ylen = scale_expansion_zeroelim(temp192len, temp192, dey, dety); yylen = scale_expansion_zeroelim(ylen, dety, dey, detyy); ytlen = scale_expansion_zeroelim(temp192len, temp192, deytail, detyt); yytlen = scale_expansion_zeroelim(ytlen, detyt, dey, detyyt); for (i = 0; i < yytlen; i++) { detyyt[i] *= 2.0; } ytytlen = scale_expansion_zeroelim(ytlen, detyt, deytail, detytyt); y1len = fast_expansion_sum_zeroelim(yylen, detyy, yytlen, detyyt, y1); y2len = fast_expansion_sum_zeroelim(y1len, y1, ytytlen, detytyt, y2); zlen = scale_expansion_zeroelim(temp192len, temp192, dez, detz); zzlen = scale_expansion_zeroelim(zlen, detz, dez, detzz); ztlen = scale_expansion_zeroelim(temp192len, temp192, deztail, detzt); zztlen = scale_expansion_zeroelim(ztlen, detzt, dez, detzzt); for (i = 0; i < zztlen; i++) { detzzt[i] *= 2.0; } ztztlen = scale_expansion_zeroelim(ztlen, detzt, deztail, detztzt); z1len = fast_expansion_sum_zeroelim(zzlen, detzz, zztlen, detzzt, z1); z2len = fast_expansion_sum_zeroelim(z1len, z1, ztztlen, detztzt, z2); xylen = fast_expansion_sum_zeroelim(x2len, x2, y2len, y2, detxy); dlen = fast_expansion_sum_zeroelim(z2len, z2, xylen, detxy, ddet); ablen = fast_expansion_sum_zeroelim(alen, adet, blen, bdet, abdet); cdlen = fast_expansion_sum_zeroelim(clen, cdet, dlen, ddet, cddet); deterlen = fast_expansion_sum_zeroelim(ablen, abdet, cdlen, cddet, deter); return deter[deterlen - 1]; } REAL insphereadapt(pa, pb, pc, pd, pe, permanent) REAL *pa; REAL *pb; REAL *pc; REAL *pd; REAL *pe; REAL permanent; { INEXACT REAL aex, bex, cex, dex, aey, bey, cey, dey, aez, bez, cez, dez; REAL det, errbound; INEXACT REAL aexbey1, bexaey1, bexcey1, cexbey1; INEXACT REAL cexdey1, dexcey1, dexaey1, aexdey1; INEXACT REAL aexcey1, cexaey1, bexdey1, dexbey1; REAL aexbey0, bexaey0, bexcey0, cexbey0; REAL cexdey0, dexcey0, dexaey0, aexdey0; REAL aexcey0, cexaey0, bexdey0, dexbey0; REAL ab[4], bc[4], cd[4], da[4], ac[4], bd[4]; INEXACT REAL ab3, bc3, cd3, da3, ac3, bd3; REAL abeps, bceps, cdeps, daeps, aceps, bdeps; REAL temp8a[8], temp8b[8], temp8c[8], temp16[16], temp24[24], temp48[48]; int temp8alen, temp8blen, temp8clen, temp16len, temp24len, temp48len; REAL xdet[96], ydet[96], zdet[96], xydet[192]; int xlen, ylen, zlen, xylen; REAL adet[288], bdet[288], cdet[288], ddet[288]; int alen, blen, clen, dlen; REAL abdet[576], cddet[576]; int ablen, cdlen; REAL fin1[1152]; int finlength; REAL aextail, bextail, cextail, dextail; REAL aeytail, beytail, ceytail, deytail; REAL aeztail, beztail, ceztail, deztail; INEXACT REAL bvirt; REAL avirt, bround, around; INEXACT REAL c; INEXACT REAL abig; REAL ahi, alo, bhi, blo; REAL err1, err2, err3; INEXACT REAL _i, _j; REAL _0; aex = (REAL) (pa[0] - pe[0]); bex = (REAL) (pb[0] - pe[0]); cex = (REAL) (pc[0] - pe[0]); dex = (REAL) (pd[0] - pe[0]); aey = (REAL) (pa[1] - pe[1]); bey = (REAL) (pb[1] - pe[1]); cey = (REAL) (pc[1] - pe[1]); dey = (REAL) (pd[1] - pe[1]); aez = (REAL) (pa[2] - pe[2]); bez = (REAL) (pb[2] - pe[2]); cez = (REAL) (pc[2] - pe[2]); dez = (REAL) (pd[2] - pe[2]); Two_Product(aex, bey, aexbey1, aexbey0); Two_Product(bex, aey, bexaey1, bexaey0); Two_Two_Diff(aexbey1, aexbey0, bexaey1, bexaey0, ab3, ab[2], ab[1], ab[0]); ab[3] = ab3; Two_Product(bex, cey, bexcey1, bexcey0); Two_Product(cex, bey, cexbey1, cexbey0); Two_Two_Diff(bexcey1, bexcey0, cexbey1, cexbey0, bc3, bc[2], bc[1], bc[0]); bc[3] = bc3; Two_Product(cex, dey, cexdey1, cexdey0); Two_Product(dex, cey, dexcey1, dexcey0); Two_Two_Diff(cexdey1, cexdey0, dexcey1, dexcey0, cd3, cd[2], cd[1], cd[0]); cd[3] = cd3; Two_Product(dex, aey, dexaey1, dexaey0); Two_Product(aex, dey, aexdey1, aexdey0); Two_Two_Diff(dexaey1, dexaey0, aexdey1, aexdey0, da3, da[2], da[1], da[0]); da[3] = da3; Two_Product(aex, cey, aexcey1, aexcey0); Two_Product(cex, aey, cexaey1, cexaey0); Two_Two_Diff(aexcey1, aexcey0, cexaey1, cexaey0, ac3, ac[2], ac[1], ac[0]); ac[3] = ac3; Two_Product(bex, dey, bexdey1, bexdey0); Two_Product(dex, bey, dexbey1, dexbey0); Two_Two_Diff(bexdey1, bexdey0, dexbey1, dexbey0, bd3, bd[2], bd[1], bd[0]); bd[3] = bd3; temp8alen = scale_expansion_zeroelim(4, cd, bez, temp8a); temp8blen = scale_expansion_zeroelim(4, bd, -cez, temp8b); temp8clen = scale_expansion_zeroelim(4, bc, dez, temp8c); temp16len = fast_expansion_sum_zeroelim(temp8alen, temp8a, temp8blen, temp8b, temp16); temp24len = fast_expansion_sum_zeroelim(temp8clen, temp8c, temp16len, temp16, temp24); temp48len = scale_expansion_zeroelim(temp24len, temp24, aex, temp48); xlen = scale_expansion_zeroelim(temp48len, temp48, -aex, xdet); temp48len = scale_expansion_zeroelim(temp24len, temp24, aey, temp48); ylen = scale_expansion_zeroelim(temp48len, temp48, -aey, ydet); temp48len = scale_expansion_zeroelim(temp24len, temp24, aez, temp48); zlen = scale_expansion_zeroelim(temp48len, temp48, -aez, zdet); xylen = fast_expansion_sum_zeroelim(xlen, xdet, ylen, ydet, xydet); alen = fast_expansion_sum_zeroelim(xylen, xydet, zlen, zdet, adet); temp8alen = scale_expansion_zeroelim(4, da, cez, temp8a); temp8blen = scale_expansion_zeroelim(4, ac, dez, temp8b); temp8clen = scale_expansion_zeroelim(4, cd, aez, temp8c); temp16len = fast_expansion_sum_zeroelim(temp8alen, temp8a, temp8blen, temp8b, temp16); temp24len = fast_expansion_sum_zeroelim(temp8clen, temp8c, temp16len, temp16, temp24); temp48len = scale_expansion_zeroelim(temp24len, temp24, bex, temp48); xlen = scale_expansion_zeroelim(temp48len, temp48, bex, xdet); temp48len = scale_expansion_zeroelim(temp24len, temp24, bey, temp48); ylen = scale_expansion_zeroelim(temp48len, temp48, bey, ydet); temp48len = scale_expansion_zeroelim(temp24len, temp24, bez, temp48); zlen = scale_expansion_zeroelim(temp48len, temp48, bez, zdet); xylen = fast_expansion_sum_zeroelim(xlen, xdet, ylen, ydet, xydet); blen = fast_expansion_sum_zeroelim(xylen, xydet, zlen, zdet, bdet); temp8alen = scale_expansion_zeroelim(4, ab, dez, temp8a); temp8blen = scale_expansion_zeroelim(4, bd, aez, temp8b); temp8clen = scale_expansion_zeroelim(4, da, bez, temp8c); temp16len = fast_expansion_sum_zeroelim(temp8alen, temp8a, temp8blen, temp8b, temp16); temp24len = fast_expansion_sum_zeroelim(temp8clen, temp8c, temp16len, temp16, temp24); temp48len = scale_expansion_zeroelim(temp24len, temp24, cex, temp48); xlen = scale_expansion_zeroelim(temp48len, temp48, -cex, xdet); temp48len = scale_expansion_zeroelim(temp24len, temp24, cey, temp48); ylen = scale_expansion_zeroelim(temp48len, temp48, -cey, ydet); temp48len = scale_expansion_zeroelim(temp24len, temp24, cez, temp48); zlen = scale_expansion_zeroelim(temp48len, temp48, -cez, zdet); xylen = fast_expansion_sum_zeroelim(xlen, xdet, ylen, ydet, xydet); clen = fast_expansion_sum_zeroelim(xylen, xydet, zlen, zdet, cdet); temp8alen = scale_expansion_zeroelim(4, bc, aez, temp8a); temp8blen = scale_expansion_zeroelim(4, ac, -bez, temp8b); temp8clen = scale_expansion_zeroelim(4, ab, cez, temp8c); temp16len = fast_expansion_sum_zeroelim(temp8alen, temp8a, temp8blen, temp8b, temp16); temp24len = fast_expansion_sum_zeroelim(temp8clen, temp8c, temp16len, temp16, temp24); temp48len = scale_expansion_zeroelim(temp24len, temp24, dex, temp48); xlen = scale_expansion_zeroelim(temp48len, temp48, dex, xdet); temp48len = scale_expansion_zeroelim(temp24len, temp24, dey, temp48); ylen = scale_expansion_zeroelim(temp48len, temp48, dey, ydet); temp48len = scale_expansion_zeroelim(temp24len, temp24, dez, temp48); zlen = scale_expansion_zeroelim(temp48len, temp48, dez, zdet); xylen = fast_expansion_sum_zeroelim(xlen, xdet, ylen, ydet, xydet); dlen = fast_expansion_sum_zeroelim(xylen, xydet, zlen, zdet, ddet); ablen = fast_expansion_sum_zeroelim(alen, adet, blen, bdet, abdet); cdlen = fast_expansion_sum_zeroelim(clen, cdet, dlen, ddet, cddet); finlength = fast_expansion_sum_zeroelim(ablen, abdet, cdlen, cddet, fin1); det = estimate(finlength, fin1); errbound = isperrboundB * permanent; if ((det >= errbound) || (-det >= errbound)) { return det; } Two_Diff_Tail(pa[0], pe[0], aex, aextail); Two_Diff_Tail(pa[1], pe[1], aey, aeytail); Two_Diff_Tail(pa[2], pe[2], aez, aeztail); Two_Diff_Tail(pb[0], pe[0], bex, bextail); Two_Diff_Tail(pb[1], pe[1], bey, beytail); Two_Diff_Tail(pb[2], pe[2], bez, beztail); Two_Diff_Tail(pc[0], pe[0], cex, cextail); Two_Diff_Tail(pc[1], pe[1], cey, ceytail); Two_Diff_Tail(pc[2], pe[2], cez, ceztail); Two_Diff_Tail(pd[0], pe[0], dex, dextail); Two_Diff_Tail(pd[1], pe[1], dey, deytail); Two_Diff_Tail(pd[2], pe[2], dez, deztail); if ((aextail == 0.0) && (aeytail == 0.0) && (aeztail == 0.0) && (bextail == 0.0) && (beytail == 0.0) && (beztail == 0.0) && (cextail == 0.0) && (ceytail == 0.0) && (ceztail == 0.0) && (dextail == 0.0) && (deytail == 0.0) && (deztail == 0.0)) { return det; } errbound = isperrboundC * permanent + resulterrbound * Absolute(det); abeps = (aex * beytail + bey * aextail) - (aey * bextail + bex * aeytail); bceps = (bex * ceytail + cey * bextail) - (bey * cextail + cex * beytail); cdeps = (cex * deytail + dey * cextail) - (cey * dextail + dex * ceytail); daeps = (dex * aeytail + aey * dextail) - (dey * aextail + aex * deytail); aceps = (aex * ceytail + cey * aextail) - (aey * cextail + cex * aeytail); bdeps = (bex * deytail + dey * bextail) - (bey * dextail + dex * beytail); det += (((bex * bex + bey * bey + bez * bez) * ((cez * daeps + dez * aceps + aez * cdeps) + (ceztail * da3 + deztail * ac3 + aeztail * cd3)) + (dex * dex + dey * dey + dez * dez) * ((aez * bceps - bez * aceps + cez * abeps) + (aeztail * bc3 - beztail * ac3 + ceztail * ab3))) - ((aex * aex + aey * aey + aez * aez) * ((bez * cdeps - cez * bdeps + dez * bceps) + (beztail * cd3 - ceztail * bd3 + deztail * bc3)) + (cex * cex + cey * cey + cez * cez) * ((dez * abeps + aez * bdeps + bez * daeps) + (deztail * ab3 + aeztail * bd3 + beztail * da3)))) + 2.0 * (((bex * bextail + bey * beytail + bez * beztail) * (cez * da3 + dez * ac3 + aez * cd3) + (dex * dextail + dey * deytail + dez * deztail) * (aez * bc3 - bez * ac3 + cez * ab3)) - ((aex * aextail + aey * aeytail + aez * aeztail) * (bez * cd3 - cez * bd3 + dez * bc3) + (cex * cextail + cey * ceytail + cez * ceztail) * (dez * ab3 + aez * bd3 + bez * da3))); if ((det >= errbound) || (-det >= errbound)) { return det; } return insphereexact(pa, pb, pc, pd, pe); } REAL insphere(pa, pb, pc, pd, pe) REAL *pa; REAL *pb; REAL *pc; REAL *pd; REAL *pe; { REAL aex, bex, cex, dex; REAL aey, bey, cey, dey; REAL aez, bez, cez, dez; REAL aexbey, bexaey, bexcey, cexbey, cexdey, dexcey, dexaey, aexdey; REAL aexcey, cexaey, bexdey, dexbey; REAL alift, blift, clift, dlift; REAL ab, bc, cd, da, ac, bd; REAL abc, bcd, cda, dab; REAL aezplus, bezplus, cezplus, dezplus; REAL aexbeyplus, bexaeyplus, bexceyplus, cexbeyplus; REAL cexdeyplus, dexceyplus, dexaeyplus, aexdeyplus; REAL aexceyplus, cexaeyplus, bexdeyplus, dexbeyplus; REAL det; REAL permanent, errbound; aex = pa[0] - pe[0]; bex = pb[0] - pe[0]; cex = pc[0] - pe[0]; dex = pd[0] - pe[0]; aey = pa[1] - pe[1]; bey = pb[1] - pe[1]; cey = pc[1] - pe[1]; dey = pd[1] - pe[1]; aez = pa[2] - pe[2]; bez = pb[2] - pe[2]; cez = pc[2] - pe[2]; dez = pd[2] - pe[2]; aexbey = aex * bey; bexaey = bex * aey; ab = aexbey - bexaey; bexcey = bex * cey; cexbey = cex * bey; bc = bexcey - cexbey; cexdey = cex * dey; dexcey = dex * cey; cd = cexdey - dexcey; dexaey = dex * aey; aexdey = aex * dey; da = dexaey - aexdey; aexcey = aex * cey; cexaey = cex * aey; ac = aexcey - cexaey; bexdey = bex * dey; dexbey = dex * bey; bd = bexdey - dexbey; abc = aez * bc - bez * ac + cez * ab; bcd = bez * cd - cez * bd + dez * bc; cda = cez * da + dez * ac + aez * cd; dab = dez * ab + aez * bd + bez * da; alift = aex * aex + aey * aey + aez * aez; blift = bex * bex + bey * bey + bez * bez; clift = cex * cex + cey * cey + cez * cez; dlift = dex * dex + dey * dey + dez * dez; det = (dlift * abc - clift * dab) + (blift * cda - alift * bcd); aezplus = Absolute(aez); bezplus = Absolute(bez); cezplus = Absolute(cez); dezplus = Absolute(dez); aexbeyplus = Absolute(aexbey); bexaeyplus = Absolute(bexaey); bexceyplus = Absolute(bexcey); cexbeyplus = Absolute(cexbey); cexdeyplus = Absolute(cexdey); dexceyplus = Absolute(dexcey); dexaeyplus = Absolute(dexaey); aexdeyplus = Absolute(aexdey); aexceyplus = Absolute(aexcey); cexaeyplus = Absolute(cexaey); bexdeyplus = Absolute(bexdey); dexbeyplus = Absolute(dexbey); permanent = ((cexdeyplus + dexceyplus) * bezplus + (dexbeyplus + bexdeyplus) * cezplus + (bexceyplus + cexbeyplus) * dezplus) * alift + ((dexaeyplus + aexdeyplus) * cezplus + (aexceyplus + cexaeyplus) * dezplus + (cexdeyplus + dexceyplus) * aezplus) * blift + ((aexbeyplus + bexaeyplus) * dezplus + (bexdeyplus + dexbeyplus) * aezplus + (dexaeyplus + aexdeyplus) * bezplus) * clift + ((bexceyplus + cexbeyplus) * aezplus + (cexaeyplus + aexceyplus) * bezplus + (aexbeyplus + bexaeyplus) * cezplus) * dlift; errbound = isperrboundA * permanent; if ((det > errbound) || (-det > errbound)) { return det; } return insphereadapt(pa, pb, pc, pd, pe, permanent); } octave-iso2mesh-1.9.6+ds/meshfix/contrib/jrs_predicates/jrs_predicates.h0000644001356000007640000002305013673436411025403 0ustar fangqadmin#ifndef PREDICATES_H #define PREDICATES_H #ifdef __cplusplus extern "C" { #endif /* On some machines, the exact arithmetic routines might be defeated by the */ /* use of internal extended precision floating-point registers. Sometimes */ /* this problem can be fixed by defining certain values to be volatile, */ /* thus forcing them to be stored to memory and rounded off. This isn't */ /* a great solution, though, as it slows the arithmetic down. */ /* */ /* To try this out, write "#define INEXACT volatile" below. Normally, */ /* however, INEXACT should be defined to be nothing. ("#define INEXACT".) */ #define INEXACT /* Nothing */ /* #define INEXACT volatile */ #define REAL double /* float or double */ #define REALPRINT doubleprint #define REALRAND doublerand #define NARROWRAND narrowdoublerand #define UNIFORMRAND uniformdoublerand /* Which of the following two methods of finding the absolute values is */ /* fastest is compiler-dependent. A few compilers can inline and optimize */ /* the fabs() call; but most will incur the overhead of a function call, */ /* which is disastrously slow. A faster way on IEEE machines might be to */ /* mask the appropriate bit, but that's difficult to do in C. */ #define Absolute(a) ((a) >= 0.0 ? (a) : -(a)) /* #define Absolute(a) fabs(a) */ /* Many of the operations are broken up into two pieces, a main part that */ /* performs an approximate operation, and a "tail" that computes the */ /* roundoff error of that operation. */ /* */ /* The operations Fast_Two_Sum(), Fast_Two_Diff(), Two_Sum(), Two_Diff(), */ /* Split(), and Two_Product() are all implemented as described in the */ /* reference. Each of these macros requires certain variables to be */ /* defined in the calling routine. The variables `bvirt', `c', `abig', */ /* `_i', `_j', `_k', `_l', `_m', and `_n' are declared `INEXACT' because */ /* they store the result of an operation that may incur roundoff error. */ /* The input parameter `x' (or the highest numbered `x_' parameter) must */ /* also be declared `INEXACT'. */ #define Fast_Two_Sum_Tail(a, b, x, y) \ bvirt = x - a; \ y = b - bvirt #define Fast_Two_Sum(a, b, x, y) \ x = (REAL) (a + b); \ Fast_Two_Sum_Tail(a, b, x, y) #define Fast_Two_Diff_Tail(a, b, x, y) \ bvirt = a - x; \ y = bvirt - b #define Fast_Two_Diff(a, b, x, y) \ x = (REAL) (a - b); \ Fast_Two_Diff_Tail(a, b, x, y) #define Two_Sum_Tail(a, b, x, y) \ bvirt = (REAL) (x - a); \ avirt = x - bvirt; \ bround = b - bvirt; \ around = a - avirt; \ y = around + bround #define Two_Sum(a, b, x, y) \ x = (REAL) (a + b); \ Two_Sum_Tail(a, b, x, y) #define Two_Diff_Tail(a, b, x, y) \ bvirt = (REAL) (a - x); \ avirt = x + bvirt; \ bround = bvirt - b; \ around = a - avirt; \ y = around + bround #define Two_Diff(a, b, x, y) \ x = (REAL) (a - b); \ Two_Diff_Tail(a, b, x, y) #define Split(a, ahi, alo) \ c = (REAL) (splitter * a); \ abig = (REAL) (c - a); \ ahi = c - abig; \ alo = a - ahi #define Two_Product_Tail(a, b, x, y) \ Split(a, ahi, alo); \ Split(b, bhi, blo); \ err1 = x - (ahi * bhi); \ err2 = err1 - (alo * bhi); \ err3 = err2 - (ahi * blo); \ y = (alo * blo) - err3 #define Two_Product(a, b, x, y) \ x = (REAL) (a * b); \ Two_Product_Tail(a, b, x, y) /* Two_Product_Presplit() is Two_Product() where one of the inputs has */ /* already been split. Avoids redundant splitting. */ #define Two_Product_Presplit(a, b, bhi, blo, x, y) \ x = (REAL) (a * b); \ Split(a, ahi, alo); \ err1 = x - (ahi * bhi); \ err2 = err1 - (alo * bhi); \ err3 = err2 - (ahi * blo); \ y = (alo * blo) - err3 /* Two_Product_2Presplit() is Two_Product() where both of the inputs have */ /* already been split. Avoids redundant splitting. */ #define Two_Product_2Presplit(a, ahi, alo, b, bhi, blo, x, y) \ x = (REAL) (a * b); \ err1 = x - (ahi * bhi); \ err2 = err1 - (alo * bhi); \ err3 = err2 - (ahi * blo); \ y = (alo * blo) - err3 /* Square() can be done more quickly than Two_Product(). */ #define Square_Tail(a, x, y) \ Split(a, ahi, alo); \ err1 = x - (ahi * ahi); \ err3 = err1 - ((ahi + ahi) * alo); \ y = (alo * alo) - err3 #define Square(a, x, y) \ x = (REAL) (a * a); \ Square_Tail(a, x, y) /* Macros for summing expansions of various fixed lengths. These are all */ /* unrolled versions of Expansion_Sum(). */ #define Two_One_Sum(a1, a0, b, x2, x1, x0) \ Two_Sum(a0, b , _i, x0); \ Two_Sum(a1, _i, x2, x1) #define Two_One_Diff(a1, a0, b, x2, x1, x0) \ Two_Diff(a0, b , _i, x0); \ Two_Sum( a1, _i, x2, x1) #define Two_Two_Sum(a1, a0, b1, b0, x3, x2, x1, x0) \ Two_One_Sum(a1, a0, b0, _j, _0, x0); \ Two_One_Sum(_j, _0, b1, x3, x2, x1) #define Two_Two_Diff(a1, a0, b1, b0, x3, x2, x1, x0) \ Two_One_Diff(a1, a0, b0, _j, _0, x0); \ Two_One_Diff(_j, _0, b1, x3, x2, x1) #define Four_One_Sum(a3, a2, a1, a0, b, x4, x3, x2, x1, x0) \ Two_One_Sum(a1, a0, b , _j, x1, x0); \ Two_One_Sum(a3, a2, _j, x4, x3, x2) #define Four_Two_Sum(a3, a2, a1, a0, b1, b0, x5, x4, x3, x2, x1, x0) \ Four_One_Sum(a3, a2, a1, a0, b0, _k, _2, _1, _0, x0); \ Four_One_Sum(_k, _2, _1, _0, b1, x5, x4, x3, x2, x1) #define Four_Four_Sum(a3, a2, a1, a0, b4, b3, b1, b0, x7, x6, x5, x4, x3, x2, \ x1, x0) \ Four_Two_Sum(a3, a2, a1, a0, b1, b0, _l, _2, _1, _0, x1, x0); \ Four_Two_Sum(_l, _2, _1, _0, b4, b3, x7, x6, x5, x4, x3, x2) #define Eight_One_Sum(a7, a6, a5, a4, a3, a2, a1, a0, b, x8, x7, x6, x5, x4, \ x3, x2, x1, x0) \ Four_One_Sum(a3, a2, a1, a0, b , _j, x3, x2, x1, x0); \ Four_One_Sum(a7, a6, a5, a4, _j, x8, x7, x6, x5, x4) #define Eight_Two_Sum(a7, a6, a5, a4, a3, a2, a1, a0, b1, b0, x9, x8, x7, \ x6, x5, x4, x3, x2, x1, x0) \ Eight_One_Sum(a7, a6, a5, a4, a3, a2, a1, a0, b0, _k, _6, _5, _4, _3, _2, \ _1, _0, x0); \ Eight_One_Sum(_k, _6, _5, _4, _3, _2, _1, _0, b1, x9, x8, x7, x6, x5, x4, \ x3, x2, x1) #define Eight_Four_Sum(a7, a6, a5, a4, a3, a2, a1, a0, b4, b3, b1, b0, x11, \ x10, x9, x8, x7, x6, x5, x4, x3, x2, x1, x0) \ Eight_Two_Sum(a7, a6, a5, a4, a3, a2, a1, a0, b1, b0, _l, _6, _5, _4, _3, \ _2, _1, _0, x1, x0); \ Eight_Two_Sum(_l, _6, _5, _4, _3, _2, _1, _0, b4, b3, x11, x10, x9, x8, \ x7, x6, x5, x4, x3, x2) /* Macros for multiplying expansions of various fixed lengths. */ #define Two_One_Product(a1, a0, b, x3, x2, x1, x0) \ Split(b, bhi, blo); \ Two_Product_Presplit(a0, b, bhi, blo, _i, x0); \ Two_Product_Presplit(a1, b, bhi, blo, _j, _0); \ Two_Sum(_i, _0, _k, x1); \ Fast_Two_Sum(_j, _k, x3, x2) #define Four_One_Product(a3, a2, a1, a0, b, x7, x6, x5, x4, x3, x2, x1, x0) \ Split(b, bhi, blo); \ Two_Product_Presplit(a0, b, bhi, blo, _i, x0); \ Two_Product_Presplit(a1, b, bhi, blo, _j, _0); \ Two_Sum(_i, _0, _k, x1); \ Fast_Two_Sum(_j, _k, _i, x2); \ Two_Product_Presplit(a2, b, bhi, blo, _j, _0); \ Two_Sum(_i, _0, _k, x3); \ Fast_Two_Sum(_j, _k, _i, x4); \ Two_Product_Presplit(a3, b, bhi, blo, _j, _0); \ Two_Sum(_i, _0, _k, x5); \ Fast_Two_Sum(_j, _k, x7, x6) #define Two_Two_Product(a1, a0, b1, b0, x7, x6, x5, x4, x3, x2, x1, x0) \ Split(a0, a0hi, a0lo); \ Split(b0, bhi, blo); \ Two_Product_2Presplit(a0, a0hi, a0lo, b0, bhi, blo, _i, x0); \ Split(a1, a1hi, a1lo); \ Two_Product_2Presplit(a1, a1hi, a1lo, b0, bhi, blo, _j, _0); \ Two_Sum(_i, _0, _k, _1); \ Fast_Two_Sum(_j, _k, _l, _2); \ Split(b1, bhi, blo); \ Two_Product_2Presplit(a0, a0hi, a0lo, b1, bhi, blo, _i, _0); \ Two_Sum(_1, _0, _k, x1); \ Two_Sum(_2, _k, _j, _1); \ Two_Sum(_l, _j, _m, _2); \ Two_Product_2Presplit(a1, a1hi, a1lo, b1, bhi, blo, _j, _0); \ Two_Sum(_i, _0, _n, _0); \ Two_Sum(_1, _0, _i, x2); \ Two_Sum(_2, _i, _k, _1); \ Two_Sum(_m, _k, _l, _2); \ Two_Sum(_j, _n, _k, _0); \ Two_Sum(_1, _0, _j, x3); \ Two_Sum(_2, _j, _i, _1); \ Two_Sum(_l, _i, _m, _2); \ Two_Sum(_1, _k, _i, x4); \ Two_Sum(_2, _i, _k, x5); \ Two_Sum(_m, _k, x7, x6) /* An expansion of length two can be squared more quickly than finding the */ /* product of two different expansions of length two, and the result is */ /* guaranteed to have no more than six (rather than eight) components. */ #define Two_Square(a1, a0, x5, x4, x3, x2, x1, x0) \ Square(a0, _j, x0); \ _0 = a0 + a0; \ Two_Product(a1, _0, _k, _1); \ Two_One_Sum(_k, _1, _j, _l, _2, x1); \ Square(a1, _j, _1); \ Two_Two_Sum(_j, _1, _l, _2, x5, x4, x3, x2) REAL orient2d(REAL* pa, REAL* pb, REAL* pc); REAL orient2dadapt(REAL *pa, REAL *pb, REAL *pc, REAL detsum); REAL orient3d(REAL* pa, REAL* pb, REAL* pc, REAL* pd); REAL incircle(REAL* pa, REAL* pb, REAL* pc, REAL* pd); REAL insphere(REAL* pa, REAL* pb, REAL* pc, REAL* pd, REAL* pe); REAL doublerand(); REAL narrowdoublerand(); REAL uniformdoublerand(); float floatrand(); float narrowfloatrand(); float uniformfloatrand(); void exactinit(); extern REAL resulterrbound,ccwerrboundA,ccwerrboundB,ccwerrboundC, o3derrboundA,o3derrboundB,o3derrboundC,iccerrboundA,iccerrboundB, iccerrboundC,isperrboundA,isperrboundB,isperrboundC; #ifdef __cplusplus } #endif #endif octave-iso2mesh-1.9.6+ds/meshfix/contrib/JMeshLib/0000755001356000007640000000000013673436411020665 5ustar fangqadminoctave-iso2mesh-1.9.6+ds/meshfix/contrib/JMeshLib/vc8/0000755001356000007640000000000013673436411021365 5ustar fangqadminoctave-iso2mesh-1.9.6+ds/meshfix/contrib/JMeshLib/vc8/minJMeshLib.vcproj0000644001356000007640000001342713673436411024762 0ustar fangqadmin octave-iso2mesh-1.9.6+ds/meshfix/contrib/JMeshLib/src/0000755001356000007640000000000013673436411021454 5ustar fangqadminoctave-iso2mesh-1.9.6+ds/meshfix/contrib/JMeshLib/src/MESH_STRUCTURE/0000755001356000007640000000000013673436411023670 5ustar fangqadminoctave-iso2mesh-1.9.6+ds/meshfix/contrib/JMeshLib/src/MESH_STRUCTURE/triangle.cpp0000644001356000007640000002627713673436411026217 0ustar fangqadmin/**************************************************************************** * JMeshLib * * * * Consiglio Nazionale delle Ricerche * * Istituto di Matematica Applicata e Tecnologie Informatiche * * Sezione di Genova * * IMATI-GE / CNR * * * * Authors: Marco Attene * * * * Copyright(C) 2006: IMATI-GE / CNR * * * * All rights reserved. * * * * This program is free software; you can redistribute it and/or modify * * it under the terms of the GNU General Public License as published by * * the Free Software Foundation; either version 2 of the License, or * * (at your option) any later version. * * * * This program is distributed in the hope that it will be useful, * * but WITHOUT ANY WARRANTY; without even the implied warranty of * * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * * GNU General Public License (http://www.gnu.org/licenses/gpl.txt) * * for more details. * * * ****************************************************************************/ #include "triangle.h" #include //////////////////// Constructor ////////////////////// Triangle::Triangle(Edge *a, Edge *b, Edge *c) { e1 = a; e2 = b; e3 = c; mask = 0; info = NULL; } //////////////////// Normal vector ////////////////////// Point Triangle::getNormal() const { Vertex *va = v1(), *vb = v2(), *vc = v3(); Point vd = (((*va)-(*vb))&((*vb)-(*vc))); double l = vd.length(); if (l == 0) return Point(0,0,0); return vd/l; } ////// Directional vector (more robust than the above one) //////// Point Triangle::getVector() const { Vertex *va = v1(), *vb = v2(), *vc = v3(); Point vd1 = (((*va)-(*vb))&((*vb)-(*vc))); Point vd2 = (((*vb)-(*vc))&((*vc)-(*va))); Point vd3 = (((*vc)-(*va))&((*va)-(*vb))); Point vd = vd1+vd2+vd3; if (vd.isNull()) return Point(0,0,0); return vd; } /////////////////// Normal consistence check //////////////////// bool Triangle::checkAdjNor(const Triangle *t) const { Edge *e = commonEdge(t); if (e == NULL) return 1; Edge *ea = nextEdge(e); Edge *eb = t->nextEdge(e); if (ea->commonVertex(eb) == ea->commonVertex(e)) return 0; return 1; } //////////////////////// Triangle area ///////////////////////// double Triangle::area() const { double a = e1->length(), b = e2->length(), c = e3->length(); if (a==0.0 || b==0.0 || c==0.0) return 0.0; double p = (a+b+c)/2.0; p = p*(p-a)*(p-b)*(p-c); if (p<0) return 0.0; return sqrt(p); } /////////////////////// Triangle perimeter ///////////////////// double Triangle::perimeter() const { return e1->length()+e2->length()+e3->length(); } ///////////// Barycenter /////////////////////// Point Triangle::getCenter() const { Point va = *v1(), vb = *v2(), vc = *v3(); return (va+vb+vc)/3.0; } ///////////////////////// Circlecenter ///////////////////////// Point Triangle::getCircleCenter() const { Point va = *v1(), vb = *v2(), vc = *v3(); Point q1 = vb-va; Point q2 = vc-va; Point n = q2&q1; Point m1 = e2->getMidPoint(); Point m2 = e1->getMidPoint(); return Point(n*va,q1*m1,q2*m2).linearSystem(n,q1,q2); } /////// Check wether the point is inside the triangle's bounding ball ///// bool Triangle::inSphere(const Point *p) const { Point c = getCircleCenter(); double rad = c.squaredDistance(e1->v1); return (p->squaredDistance(&c) < rad); } //////////////////// Angle at a vertex ///////////////////// double Triangle::getAngle(const Vertex *v) const { Vertex *va = v1(), *vb = v2(), *vc = v3(); if (v == va) return v->getAngle(vb, vc); if (v == vb) return v->getAngle(va, vc); if (v == vc) return v->getAngle(vb, va); return -1.0; } /////////// Angle between the two directional vectors ///////// double Triangle::getDAngle(const Triangle *t) const { Point thisNormal = getVector(); Point otherNormal = t->getVector(); if (thisNormal.isNull() || otherNormal.isNull()) return -1.0; return thisNormal.getAngle(otherNormal); } ///////////// Distance from the plane of the triangle ////////////// double Triangle::distanceFromPoint(const Point *p) const { Point n = getNormal(); if (n.isNull()) return -1.0; double d = (n*(*p))-(n*(*(e1->v1))); return FABS(d); } ///////////// Squared distance from the plane of the triangle ////////////// double Triangle::squaredDistanceFromPoint(const Point *p) const { Point CA = e1->toVector()&e2->toVector(); double CA2 = CA*CA; if (CA2 == 0) return -1.0; double d = ((CA*(*p))-(CA*(*(e1->v1)))); return (d*d)/CA2; } ///////////// Distance of point from the triangle ////////////// double Triangle::pointTriangleDistance(const Point *p, Point *cp) const { Point n = getNormal(); if (n.isNull()) return -1.0; Vertex *va = v1(), *vb = v2(), *vc = v3(); Point p1 = e1->toUnitVector(); Point p2 = e2->toUnitVector(); double d1 = (p1*(*p)); double d2 = (p2*(*p)); double d3 = (n*(*va)); Point i = Point(d1,d2,d3).linearSystem(p1,p2,n); d1 = ((((*va)-(*vb))&((*vb)-i))*n); d2 = ((((*vb)-(*vc))&((*vc)-i))*n); d3 = ((((*vc)-(*va))&((*va)-i))*n); if (d1 >= 0 && d2 >= 0 && d3 >= 0) {if (cp) cp->setValue(i); return i.distance(p);} if (d2 < 0) {va=vb; vb=vc;} else if (d3 < 0) {vb=va; va=vc;} i = p->projection(va,vb); p1 = i-(*va); p2 = i-(*vb); if (p1*p2 <=0) {if (cp) cp->setValue(i); return i.distance(p);} d1=p1.squaredLength(); d2=p2.squaredLength(); if (d1setValue(va); return p->distance(va);} else {if (cp) cp->setValue(vb); return p->distance(vb);} } ///////////// Distance of point from the triangle ////////////// double Triangle::pointTriangleSquaredDistance(const Point *p) const { Vertex *va = v1(), *vb = v2(), *vc = v3(); Point n(((*va)-(*vb))&((*vb)-(*vc))); if (n.x == 0 && n.y == 0 && n.z == 0) return -1.0; double d1 = ((((*va)-(*vb))&((*vb)-(*p)))*n); double d2 = ((((*vb)-(*vc))&((*vc)-(*p)))*n); double d3 = ((((*vc)-(*va))&((*va)-(*p)))*n); if (d1 >= 0 && d2 >= 0 && d3 >= 0) return squaredDistanceFromPoint(p); if (d2 < 0) {va=vb; vb=vc;} else if (d3 < 0) {vb=va; va=vc;} Point i(p->projection(va,vb)); Point p1(i-(*va)); Point p2(i-(*vb)); if (p1*p2 <=0) return i.squaredDistance(p); d1=p1.squaredLength(); d2=p2.squaredLength(); if (d1squaredDistance(va); else return p->squaredDistance(vb); } /////////// Projection of point 'p' on the plane of the triangle ///// Point Triangle::project(const Point *p) const { Point n = getNormal(); if (n.isNull()) return INFINITE_POINT; Point v = *(v1()); Point p1 = e1->toUnitVector(); double d1 = (p1*(*p)); Point p2 = e2->toUnitVector(); double d2 = (p2*(*p)); double d3 = (n*v); Point i = Point(d1,d2,d3).linearSystem(p1,p2,n); return i; } ///////// TRUE if the point prjection belongs to the triangle ///////// bool Triangle::isInside(const Point *p) const { Vertex va = *v1(), vb = *v2(), vc = *v3(); Point v = *p; if (v == va || v == vb || v == vc) return 1; Point n = getNormal(); if (n.isNull()) return 0; Point pa1 = ((vb-va)&(v-va)); if (pa1.isNull()) return (((va-v)*(vb-v)) <= 0); Point pa2 = ((vc-vb)&(v-vb)); if (pa2.isNull()) return (((vb-v)*(vc-v)) <= 0); Point pa3 = ((va-vc)&(v-vc)); if (pa3.isNull()) return (((vc-v)*(va-v)) <= 0); double a1 = n.getAngle(pa1); double a2 = n.getAngle(pa2); double a3 = n.getAngle(pa3); return ((a1 >= PI2 && a2 >= PI2 && a3 >= PI2) || (a1 <= PI2 && a2 <= PI2 && a3 <= PI2)); } /// Checks wether the triangle intersects the edge 'e'. If it does, /// /// the method returns 1 and 'out' is initialized with the point of /// /// intersection. If there is no intersection or if the edge lies /// /// on the plane of the triangle, 0 is returned. 't' is a threshold /// /// distance within which a point is considered to be on the face. /// bool Triangle::intersectsEdge(const Edge *e, Point *out, const double t) const { Point p, p1, p2, p3, nor=getNormal(); p1.setValue(v1()); p2.setValue(v2()); p3.setValue(v3()); double dv1 = ((*(e->v1))-p1)*nor; double dv2 = ((*(e->v2))-p1)*nor; double dv3; if (FABS(dv1) < t) dv1 = 0; if (FABS(dv2) < t) dv2 = 0; if (dv1*dv2 > 0) return 0; if (dv1 == 0 && dv2 == 0) return 0; dv1 = FABS(dv1); dv2 = FABS(dv2); if (dv1 == 0) p.setValue(e->v1); else if (dv2 == 0) p.setValue(e->v2); else p = (((*(e->v2))*dv1)+((*(e->v1))*dv2))/(dv1+dv2); Point r1 = (p2-p1)&nor; r1.normalize(); dv1 = (p-p1)*r1; Point r2 = (p3-p2)&nor; r2.normalize(); dv2 = (p-p2)*r2; Point r3 = (p1-p3)&nor; r3.normalize(); dv3 = (p-p3)*r3; if (FABS(dv1) < t) dv1 = 0; if (FABS(dv2) < t) dv2 = 0; if (FABS(dv3) < t) dv3 = 0; if (dv1 > 0 || dv2 > 0 || dv3 > 0) return 0; out->setValue(p); return 1; } ////////// Cap-like degeneracy ////////// Edge *Triangle::isCap() const { if (e1->length()==0 || e2->length()==0 || e3->length()==0) return NULL; if (getAngle(v1()) == M_PI) return e3; if (getAngle(v2()) == M_PI) return e1; if (getAngle(v3()) == M_PI) return e2; return 0; } ////////// Needle-like degeneracy ////////// Edge *Triangle::isNeedle() const { if (e1->length() == 0) return e1; if (e2->length() == 0) return e2; if (e3->length() == 0) return e3; double a1 = getAngle(v1()); double a2 = getAngle(v2()); double a3 = getAngle(v3()); if (a1 == M_PI || a2 == M_PI || a3 == M_PI) return 0; if (a1 == 0) return e3; if (a2 == 0) return e1; if (a3 == 0) return e2; return 0; } //////////// Degenerate check ////////////////// bool Triangle::isDegenerate() const { return (isCap() != NULL || isNeedle() != NULL); } ///////////// Overlap check //////////////////// bool Triangle::overlaps() const { Triangle *tt1 = t1(); Triangle *tt2 = t2(); Triangle *tt3 = t3(); if (tt1 && getDAngle(tt1) == M_PI) return 1; if (tt2 && getDAngle(tt2) == M_PI) return 1; if (tt3 && getDAngle(tt3) == M_PI) return 1; return 0; } /// Debug void Triangle::printTriangle(FILE *fp) const { v1()->printPoint(fp); v2()->printPoint(fp); v3()->printPoint(fp); } void Triangle::unlinkEdgesWithVertices() { if (e1 != NULL) { if (e1->v1 != NULL) e1->v1->e0 = NULL; if (e1->v2 != NULL) e1->v2->e0 = NULL; e1->v1 = e1->v2 = NULL; } if (e2 != NULL) { if (e2->v1 != NULL) e2->v1->e0 = NULL; if (e2->v2 != NULL) e2->v2->e0 = NULL; e2->v1 = e2->v2 = NULL; } if (e3 != NULL) { if (e3->v1 != NULL) e3->v1->e0 = NULL; if (e3->v2 != NULL) e3->v2->e0 = NULL; e3->v1 = e3->v2 = NULL; } e1 = e2 = e3 = NULL; } octave-iso2mesh-1.9.6+ds/meshfix/contrib/JMeshLib/src/MESH_STRUCTURE/vertex.cpp0000644001356000007640000003644513673436411025725 0ustar fangqadmin/**************************************************************************** * JMeshLib * * * * Consiglio Nazionale delle Ricerche * * Istituto di Matematica Applicata e Tecnologie Informatiche * * Sezione di Genova * * IMATI-GE / CNR * * * * Authors: Marco Attene * * * * Copyright(C) 2006: IMATI-GE / CNR * * * * All rights reserved. * * * * This program is free software; you can redistribute it and/or modify * * it under the terms of the GNU General Public License as published by * * the Free Software Foundation; either version 2 of the License, or * * (at your option) any later version. * * * * This program is distributed in the hope that it will be useful, * * but WITHOUT ANY WARRANTY; without even the implied warranty of * * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * * GNU General Public License (http://www.gnu.org/licenses/gpl.txt) * * for more details. * * * ****************************************************************************/ #include "vertex.h" #include "edge.h" #include "triangle.h" #include #include //////////////////// Constructors //////////////////////// Vertex::Vertex() : Point() { e0 = NULL; mask = 0; } Vertex::Vertex(const coord& a, const coord& b, const coord& c) : Point(a,b,c) { e0 = NULL; mask = 0; } Vertex::Vertex(const Point *p) : Point(p->x, p->y, p->z) { e0 = NULL; mask = 0; } Vertex::Vertex(const Point& p) : Point(p.x, p.y, p.z) { e0 = NULL; mask = 0; } ///////////////////// Destructor /////////////////////// Vertex::~Vertex() { } /////////////// VE relation //////////////////////////// List *Vertex::VE() const { Triangle *t; Edge *e; Vertex *v; List *ve = new List(); if (e0 == NULL) return ve; e = e0; do { ve->appendTail(e); v = e->oppositeVertex(this); t = e->leftTriangle(this); if (t == NULL) break; e = t->oppositeEdge(v); } while (e != e0); if (e == e0 && ve->numels() > 1) return ve; ve->popHead(); e = e0; do { ve->appendHead(e); v = e->oppositeVertex(this); t = e->rightTriangle(this); if (t == NULL) break; e = t->oppositeEdge(v); } while (e != e0); return ve; } /////////////// VV relation //////////////////////////// List *Vertex::VV() const { Triangle *t; Edge *e; Vertex *v; List *vv = new List(); if (e0 == NULL) return vv; e = e0; do { v = e->oppositeVertex(this); vv->appendTail(v); t = e->leftTriangle(this); if (t == NULL) break; e = t->oppositeEdge(v); } while (e != e0); if (e == e0 && vv->numels() > 1) return vv; vv->popHead(); e = e0; do { v = e->oppositeVertex(this); vv->appendHead(v); t = e->rightTriangle(this); if (t == NULL) break; e = t->oppositeEdge(v); } while (e != e0); return vv; } /////////////// VT relation //////////////////////////// List *Vertex::VT() const { Triangle *t; Edge *e; Vertex *v; List *vt = new List(); if (e0 == NULL) return vt; e = e0; do { v = e->oppositeVertex(this); t = e->leftTriangle(this); if (t == NULL) break; vt->appendTail(t); e = t->oppositeEdge(v); } while (e != e0); if (e == e0 && vt->numels() > 1) return vt; e = e0; do { v = e->oppositeVertex(this); t = e->rightTriangle(this); if (t == NULL) break; vt->appendHead(t); e = t->oppositeEdge(v); } while (e != e0); return vt; } /////////////// Returns the edge (this,v2) //////////////// Edge *Vertex::getEdge(const Vertex *v2) const { List *ve = VE(); Node *m; Edge *e; FOREACHVEEDGE(ve, e, m) if (e->oppositeVertex(this) == v2) {delete(ve); return e;} delete(ve); return NULL; } ///////////// Returns the vertex valence /////////////////////// int Vertex::valence() const { List *ve = VE(); int n = ve->numels(); delete(ve); return n; } /////////////// Checks the boundary //////////////////////////// int Vertex::isOnBoundary(short markbit) const { Triangle *t; Edge *e; Vertex *v; if (e0 == NULL) return 0; e = e0; char found = 0; do { v = e->oppositeVertex(this); t = e->leftTriangle(this); if (t == NULL) return 1; if (markbit >= 0) found |= IS_BIT(t,markbit) ? 1 : 2; e = t->oppositeEdge(v); } while (e != e0); if (markbit >= 0 && found == 3) return 1; // we found at least one unmarked and one marked triangle return 0; } /////////////// Next boundary edge //////////////////////////// Edge *Vertex::nextBoundaryEdge(short markbit) const { Triangle *t; Edge *e; Vertex *v; if (e0 == NULL) return NULL; e = e0; do { v = e->oppositeVertex(this); t = e->leftTriangle(this); if (t == NULL) return e; if (markbit >= 0 && IS_BIT(e->rightTriangle(this),markbit) && !IS_BIT(t,markbit)) return e; e = t->oppositeEdge(v); } while (e != e0); return NULL; } /////////////// Next boundary vertex //////////////////////////// Vertex *Vertex::nextOnBoundary(short markbit) const { Edge *e = nextBoundaryEdge(markbit); if (e != NULL) return e->oppositeVertex(this); return NULL; } /////////////// Previous boundary edge //////////////////////////// Edge *Vertex::prevBoundaryEdge(short markbit) const { Triangle *t; Edge *e; Vertex *v; if (e0 == NULL) return NULL; e = e0; do { v = e->oppositeVertex(this); t = e->rightTriangle(this); if (t == NULL) return e; if (markbit >= 0 && IS_BIT(e->leftTriangle(this),markbit) && !IS_BIT(t,markbit)) return e; e = t->oppositeEdge(v); } while (e != e0); return NULL; } /////////////// Previous boundary vertex //////////////////////////// Vertex *Vertex::prevOnBoundary(short markbit) const { Edge *e = prevBoundaryEdge(markbit); if (e != NULL) return e->oppositeVertex(this); return NULL; } ///// Vertex normal as weighted average of the incident triangle normals //// ///// The weight is the incidence angle. //// ///// Possible degenerate triangles are not taken into account. //// Point Vertex::getNormal() const { List *vt = VT(); Node *n; Triangle *t; double pa; Point tnor, ttn; FOREACHVTTRIANGLE(vt, t, n) { pa = t->getAngle(this); ttn = t->getNormal(); if (!ttn.isNull()) tnor = tnor+(ttn*pa); } delete(vt); if (tnor.isNull()) return Point(0,0,0); tnor.normalize(); return tnor; } ////////// Returns the angle between the two boundary edges //////// double Vertex::getBoundaryAngle() const { Edge *e1 = prevBoundaryEdge(); Edge *e2 = nextBoundaryEdge(); if (e1 == NULL || e2 == NULL) return -1.0; Vertex *v1 = e1->oppositeVertex(this); Vertex *v2 = e2->oppositeVertex(this); double ang = getAngle(v1,v2); return ang; } ////////// Returns the discriminant for triangulation //////// double Vertex::getAngleForTriangulation() const { Edge *e1 = prevBoundaryEdge(); Edge *e2 = nextBoundaryEdge(); if (e1 == NULL || e2 == NULL) return DBL_MAX; Triangle *t1 = e1->getBoundaryTriangle(); Triangle *t2 = e2->getBoundaryTriangle(); Vertex *v1 = e1->oppositeVertex(this); Vertex *v2 = e2->oppositeVertex(this); if ((*v2)==(*v1)) return -2; if (distance(v1)*distance(v2) == 0.0) return -1; double ang = getAngle(v1,v2); if (ang == M_PI) return 3*M_PI; if (ang == 0) return 0; Edge e3(v1,v2); Triangle t(e1,e2,&e3); double da1 = t.getDAngle(t1); double da2 = t.getDAngle(t2); if (da1==M_PI && da2==M_PI) return (DBL_MAX/2.0); if (da1==M_PI || da2==M_PI) return (DBL_MAX/4.0); return da1+da2+ang; } ////////// Returns the AP discriminant for triangulation //////// double Vertex::getAngleOnAveragePlane(Point *nor) const { Edge *e1 = prevBoundaryEdge(); Edge *e2 = nextBoundaryEdge(); if (e1 == NULL || e2 == NULL) return DBL_MAX; Vertex *v1 = e1->oppositeVertex(this); Vertex *v2 = e2->oppositeVertex(this); Point p, p1, p2; p1.setValue(v1); p2.setValue(v2); p.setValue(this); p.project(nor); p1.project(nor); p2.project(nor); if (p.distance(p1)*p.distance(p2) == 0.0) { JMesh::warning("getAngleOnAveragePlane: coincident projections\n"); return 0.0; } double ang = p.getAngle(&p1, &p2); if (nor->side3D(&p1, &p, &p2) < 0) ang = 2*M_PI-ang; return ang; } ///// mean curvature at the vertex: sum of signed dihedral angles //// double Vertex::totalDihedralAngle() const { List *ve = VE(); double mc = 0; Edge *e; Node *n; FOREACHVEEDGE(ve, e, n) if (e->isOnBoundary()) {delete(ve); return DBL_MAX;} else mc += (M_PI-e->dihedralAngle()); mc /= ve->numels(); delete(ve); return mc; } ///// Sum of all the incident angles //// double Vertex::totalAngle() const { List *ve = VE(); double ta = 0.0; Edge *e; Node *n; FOREACHVEEDGE(ve, e, n) if (e->isOnBoundary()) {delete(ve); return -1.0;} else ta += e->leftTriangle(this)->getAngle(this); delete(ve); return ta; } /////// Voronoi area around the vertex /////////////////// double Vertex::voronoiArea() const { List *vt = VT(); Node *n; Triangle *t; double va=0.0; FOREACHVTTRIANGLE(vt, t, n) va += t->area(); delete(vt); return va/3.0; } // Closes the gap starting from this vertex // If 'check_geom' is true, the zipping stops // whether the coordinates of the vertices to // be zipped are not equal. int Vertex::zip(const bool check_geom) { Node *n; Edge *e; List *ve = VE(); Edge *be1 = (Edge *)ve->head()->data; Edge *be2 = (Edge *)ve->tail()->data; delete(ve); if (!be1->isOnBoundary() || !be2->isOnBoundary()) return 0; Vertex *ov1 = be1->oppositeVertex(this); Vertex *ov2 = be2->oppositeVertex(this); if (check_geom && ((*ov1)!=(*ov2))) return 0; if (ov1 != ov2) { ve = ov2->VE(); FOREACHVEEDGE(ve, e, n) e->replaceVertex(ov2, ov1); delete(ve); ov2->e0 = NULL; } Triangle *t = (be2->t1!=NULL)?(be2->t1):(be2->t2); t->replaceEdge(be2, be1); be1->replaceTriangle(NULL, t); be2->v1=be2->v2=NULL; e0 = ov1->e0 = be1; return 1+ov1->zip(check_geom); } /////// Progressive Mesh: Vertex split /////////////////// Edge *Vertex::inverseCollapse(Vertex *v2, Vertex *v3, Vertex *v4) { Edge *e, *e1, *e2=NULL, *e3=NULL, *e4; Triangle *t1, *t2, *ta1, *ta4; Node *n; Vertex *tmp; List *ve = VE(); FOREACHVEEDGE(ve, e, n) { tmp = e->oppositeVertex(this); if (tmp == v3) e2 = e; else if (tmp == v4) e3 = e; } if (!e2 || !e3) {delete(ve); return NULL;} ta1 = e2->rightTriangle(this); ta4 = e3->leftTriangle(this); FOREACHVEEDGE(ve, e, n) if (e == e3) break; FOREACHNODECIRCULAR((*ve), n, n) { e = ((Edge *)n->data); if (e == e2) break; else e->replaceVertex(this, v2); } delete(ve); e = new Edge(this, v2); e1 = new Edge(v2, v3); e4 = new Edge(v2, v4); t1 = new Triangle(e, e1, e2); t2 = new Triangle(e, e3, e4); e->t1 = t1; e->t2 = t2; e2->replaceTriangle(ta1, t1); e3->replaceTriangle(ta4, t2); if (ta1) ta1->replaceEdge(e2, e1); if (ta4) ta4->replaceEdge(e3, e4); e1->t1 = t1; e1->t2 = ta1; e4->t1 = ta4; e4->t2 = t2; v2->e0 = e0 = e; // Point p = (*this)-((*v2)-(*this)); // x = p.x; y = p.y; z = p.z; return e; } /////// Progressive Mesh: Vertex split /////////////////// Edge *Vertex::inverseCollapse(Vertex *v2, Edge *e, Edge *e1, Edge *e2, Edge *e3, Edge *e4, Triangle *t1, Triangle *t2) { Triangle *ta1, *ta4; Node *n; Edge *f; ta1 = e2->rightTriangle(this); ta4 = e3->leftTriangle(this); List *ve = VE(); FOREACHVEEDGE(ve, f, n) if (f == e3) break; FOREACHNODECIRCULAR((*ve), n, n) { f = ((Edge *)n->data); if (f == e2) break; else f->replaceVertex(this, v2); } delete(ve); e->v1 = this; e->v2 = v2; e1->v1 = v2; e1->v2 = e2->oppositeVertex(this); e4->v1 = v2; e4->v2 = e3->oppositeVertex(this); t1->e1 = e; t1->e2 = e1; t1->e3 = e2; t2->e1 = e; t2->e2 = e3; t2->e3 = e4; e->t1 = t1; e->t2 = t2; e2->replaceTriangle(ta1, t1); e3->replaceTriangle(ta4, t2); if (ta1) ta1->replaceEdge(e2, e1); if (ta4) ta4->replaceEdge(e3, e4); e1->t1 = t1; e1->t2 = ta1; e4->t1 = ta4; e4->t2 = t2; v2->e0 = e0 = e; return e; } //// Returns the number of boundaries of the spherical neighborhood //// //// of radius 'r'. //// #define INCREASE_INFO_FIELD(v) ((v)->info = (void *)(((j_voidint)(v)->info)+1)) #define DECREASE_INFO_FIELD(v) ((v)->info = (void *)(((j_voidint)(v)->info)-2)) int Vertex::getTopology(const double& r) const { int numBoundaries=0; double r2 = r*r; List *ve, triList, trisInSphere, edgsInSphere, edgsOnBoundary; Node *n; Triangle *t, *s; Edge *e, *f; Vertex *w; t = (e0->t1 != NULL)?(e0->t1):(e0->t2); triList.appendHead(t); MARK_BIT(t,3); while(triList.numels() > 0) { t = (Triangle *)triList.popHead(); trisInSphere.appendHead(t); if ((s = t->t1()) != NULL && !IS_BIT(s,3) && (squaredDistance(s->oppositeVertex(t->e1))t2()) != NULL && !IS_BIT(s,3) && (squaredDistance(s->oppositeVertex(t->e2))t3()) != NULL && !IS_BIT(s,3) && (squaredDistance(s->oppositeVertex(t->e3))e1; if (!IS_BIT(e, 3)) {MARK_BIT(e, 3); edgsInSphere.appendHead(e);} else UNMARK_BIT(e, 3); e = s->e2; if (!IS_BIT(e, 3)) {MARK_BIT(e, 3); edgsInSphere.appendHead(e);} else UNMARK_BIT(e, 3); e = s->e3; if (!IS_BIT(e, 3)) {MARK_BIT(e, 3); edgsInSphere.appendHead(e);} else UNMARK_BIT(e, 3); } while ((e = (Edge *)edgsInSphere.popHead()) != NULL) if (IS_BIT(e, 3)) edgsOnBoundary.appendHead(e); FOREACHVEEDGE((&edgsOnBoundary), e, n) e->v1->info = e->v2->info = 0; FOREACHVEEDGE((&edgsOnBoundary), e, n) { INCREASE_INFO_FIELD(e->v1); INCREASE_INFO_FIELD(e->v2); } while ((e = (Edge *)edgsOnBoundary.popHead()) != NULL) if (IS_BIT(e, 3)) { numBoundaries++; DECREASE_INFO_FIELD(e->v1); UNMARK_BIT(e, 3); w=e->v2; while (w->info) { e = NULL; ve = w->VE(); FOREACHVEEDGE(ve, f, n) if (IS_BIT(f, 3)) {e = f; UNMARK_BIT(e, 3); break;} delete(ve); DECREASE_INFO_FIELD(w); w = e->oppositeVertex(w); } } return numBoundaries; } #undef INCREASE_INFO_FIELD #undef DECREASE_INFO_FIELD octave-iso2mesh-1.9.6+ds/meshfix/contrib/JMeshLib/src/MESH_STRUCTURE/tin.cpp0000644001356000007640000017625313673436411025204 0ustar fangqadmin/**************************************************************************** * JMeshLib * * * * Consiglio Nazionale delle Ricerche * * Istituto di Matematica Applicata e Tecnologie Informatiche * * Sezione di Genova * * IMATI-GE / CNR * * * * Authors: Marco Attene * * * * Copyright(C) 2006: IMATI-GE / CNR * * * * All rights reserved. * * * * This program is free software; you can redistribute it and/or modify * * it under the terms of the GNU General Public License as published by * * the Free Software Foundation; either version 2 of the License, or * * (at your option) any later version. * * * * This program is distributed in the hope that it will be useful, * * but WITHOUT ANY WARRANTY; without even the implied warranty of * * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * * GNU General Public License (http://www.gnu.org/licenses/gpl.txt) * * for more details. * * * ****************************************************************************/ #include "tin.h" #include #include ////////////////////////////////////////////////////////////////// // // // C L A S S C O N S T R U C T O R S // // // ////////////////////////////////////////////////////////////////// ///////////////////// Constructor (Empty) //////////////////// Triangulation::Triangulation() { n_boundaries = n_handles = n_shells = 0; d_boundaries = d_handles = d_shells = 0; } //////////////////// Constructor (Pre-defined) /////////////// Triangulation::Triangulation(const char *tin_definition) { if (!strcmp(tin_definition, "tetrahedron")) { Vertex *v1 = new Vertex(-1,-1.4142136,0); Vertex *v2 = new Vertex(-1,1.4142136,0); Vertex *v3 = new Vertex(1,0,-1.4142136); Vertex *v4 = new Vertex(1,0,1.4142136); Edge *e1 = new Edge(v1,v2); v1->e0 = e1; Edge *e2 = new Edge(v2,v3); v2->e0 = e2; Edge *e3 = new Edge(v3,v1); v3->e0 = e3; Edge *e4 = new Edge(v1,v4); v4->e0 = e4; Edge *e5 = new Edge(v2,v4); Edge *e6 = new Edge(v3,v4); Triangle *t1 = new Triangle(e1,e2,e3); Triangle *t2 = new Triangle(e1,e4,e5); Triangle *t3 = new Triangle(e2,e5,e6); Triangle *t4 = new Triangle(e3,e6,e4); e1->t1 = t1; e1->t2 = t2; e2->t1 = t1; e2->t2 = t3; e3->t1 = t1; e3->t2 = t4; e4->t1 = t2; e4->t2 = t4; e5->t1 = t3; e5->t2 = t2; e6->t1 = t4; e6->t2 = t3; V.appendHead(v1); V.appendHead(v2); V.appendHead(v3); V.appendHead(v4); T.appendHead(t1); T.appendHead(t2); T.appendHead(t3); T.appendHead(t4); E.appendHead(e1); E.appendHead(e2); E.appendHead(e3); E.appendHead(e4); E.appendHead(e5); E.appendHead(e6); n_boundaries = 0; n_handles = 0; n_shells = 1; d_boundaries = d_handles = d_shells = 0; } else JMesh::error("Unknown triangulation type '%s'\n",tin_definition); } ///////////////////// Cloning TIN /////////////////////////// Triangulation::Triangulation(const Triangulation *tin, const bool clone_info) { Node *n; Vertex *v, *nv; Edge *e, *ne; Triangle *t, *nt; int i; void **t_info = new void *[tin->T.numels()]; i=0; FOREACHVTTRIANGLE((&(tin->T)), t, n) t_info[i++]=t->info; void **e_info = new void *[tin->E.numels()]; i=0; FOREACHVEEDGE((&(tin->E)), e, n) e_info[i++]=e->info; void **v_info = new void *[tin->V.numels()]; i=0; FOREACHVVVERTEX((&(tin->V)), v, n) v_info[i++]=v->info; FOREACHVVVERTEX((&(tin->V)), v, n) {nv=new Vertex(v); V.appendTail(nv); v->info = nv;} FOREACHVEEDGE((&(tin->E)), e, n) {ne=new Edge((Vertex *)e->v1->info, (Vertex *)e->v2->info); E.appendTail(ne); e->info = ne;} FOREACHVTTRIANGLE((&(tin->T)), t, n) {nt=new Triangle((Edge *)t->e1->info,(Edge *)t->e2->info,(Edge *)t->e3->info); T.appendTail(nt); t->info = nt;} FOREACHVVVERTEX((&(tin->V)), v, n) {((Vertex *)v->info)->e0 = (Edge *)v->e0->info; v->info = NULL;} FOREACHVEEDGE((&(tin->E)), e, n) {((Edge *)e->info)->t1 = (e->t1)?((Triangle *)e->t1->info):(NULL); ((Edge *)e->info)->t2 = (e->t2)?((Triangle *)e->t2->info):(NULL); e->info = NULL;} i=0; FOREACHVTTRIANGLE((&(tin->T)), t, n) t->info=t_info[i++]; i=0; FOREACHVEEDGE((&(tin->E)), e, n) e->info=e_info[i++]; i=0; FOREACHVVVERTEX((&(tin->V)), v, n) v->info=v_info[i++]; if (clone_info) { i=0; FOREACHTRIANGLE(t, n) t->info=t_info[i++]; i=0; FOREACHEDGE(e, n) e->info=e_info[i++]; i=0; FOREACHVERTEX(v, n) v->info=v_info[i++]; } delete [] t_info; delete [] e_info; delete [] v_info; d_boundaries = d_handles = d_shells = 1; } //// Creates a new Triangulation out of a connected component of an existing Triangulation. //// If 'keep_reference' is set to 'true', each element of the existing mesh keeps a //// pointer to the corresponding new element in the 'info' field. Triangulation::Triangulation(const Triangle *t0, const bool keep_reference) { List todo(t0), st, sv, se; Node *n; Triangle *t, *nt; Vertex *v, *nv; Edge *e, *ne; while (todo.numels()) { t = (Triangle *)todo.popHead(); st.appendHead(t); MARK_VISIT2(t); nt=t->t1(); if (nt != NULL && !IS_VISITED2(nt)) {MARK_VISIT2(nt); todo.appendHead(nt);} nt=t->t2(); if (nt != NULL && !IS_VISITED2(nt)) {MARK_VISIT2(nt); todo.appendHead(nt);} nt=t->t3(); if (nt != NULL && !IS_VISITED2(nt)) {MARK_VISIT2(nt); todo.appendHead(nt);} } FOREACHVTTRIANGLE((&st), t, n) { UNMARK_VISIT2(t); e = t->e1; if (!IS_VISITED2(e)) {MARK_VISIT2(e); se.appendHead(e);} e = t->e2; if (!IS_VISITED2(e)) {MARK_VISIT2(e); se.appendHead(e);} e = t->e3; if (!IS_VISITED2(e)) {MARK_VISIT2(e); se.appendHead(e);} v = t->v1(); if (!IS_VISITED2(v)) {MARK_VISIT2(v); sv.appendHead(v);} v = t->v2(); if (!IS_VISITED2(v)) {MARK_VISIT2(v); sv.appendHead(v);} v = t->v3(); if (!IS_VISITED2(v)) {MARK_VISIT2(v); sv.appendHead(v);} } FOREACHVVVERTEX((&sv), v, n) {UNMARK_VISIT2(v); nv=new Vertex(v); V.appendTail(nv); if (v->info != NULL) {nv->info = v->info;}; v->info = nv;} // modification A.T.: copy info pointer to nv FOREACHVEEDGE((&se), e, n) {UNMARK_VISIT2(e); ne=new Edge((Vertex *)e->v1->info, (Vertex *)e->v2->info); E.appendTail(ne); e->info = ne;} FOREACHVTTRIANGLE((&st), t, n) {nt=new Triangle((Edge *)t->e1->info,(Edge *)t->e2->info,(Edge *)t->e3->info); T.appendTail(nt); t->info = nt;} FOREACHVVVERTEX((&sv), v, n) ((Vertex *)v->info)->e0 = (Edge *)v->e0->info; FOREACHVEEDGE((&se), e, n) {((Edge *)e->info)->t1 = (e->t1)?((Triangle *)e->t1->info):(NULL); ((Edge *)e->info)->t2 = (e->t2)?((Triangle *)e->t2->info):(NULL);} if (!keep_reference) { FOREACHVVVERTEX((&sv), v, n) v->info = NULL; FOREACHVEEDGE((&se), e, n) e->info = NULL; FOREACHVTTRIANGLE((&st), t, n) t->info = NULL; } eulerUpdate(); } ///////////////////// Destructor /////////////////////////// Triangulation::~Triangulation() { T.freeNodes(); V.freeNodes(); E.freeNodes(); } ////////////////////////////////////////////////////////////////// // // // P R I M I T I V E C O N S T R U C T I O N // // // ////////////////////////////////////////////////////////////////// //////////////////// Creates an edge //////////////////////////// Edge *Triangulation::CreateEdge(Vertex *v1, Vertex *v2) { Edge *e; if ((e = v1->getEdge(v2)) != NULL) return e; e = new Edge(v1,v2); v1->e0 = e; v2->e0 = e; E.appendHead(e); return e; } //////////////////// Creates an edge //////////////////////////// Edge *Triangulation::CreateEdge(ExtVertex *v1, ExtVertex *v2, const bool check) { Edge *e; Node *n; if (check) FOREACHVEEDGE((&(v1->VE)), e, n) if (e->oppositeVertex(v1->v) == v2->v) return e; e = new Edge(v1->v,v2->v); if (v1->v->e0 == NULL) v1->v->e0 = e; if (v2->v->e0 == NULL) v2->v->e0 = e; v1->VE.appendHead(e); v2->VE.appendHead(e); E.appendHead(e); return e; } ///////////////////// Creates a triangle ////////////////////////// Triangle *Triangulation::CreateTriangle(Edge *e1, Edge *e2, Edge *e3) { Triangle *tt, **at1, **at2, **at3; if (e1->commonVertex(e2) == e1->v2 && e1->t1 == NULL) at1 = &(e1->t1); else if (e1->commonVertex(e2) == e1->v1 && e1->t2 == NULL) at1 = &(e1->t2); else return NULL; if (e2->commonVertex(e3) == e2->v2 && e2->t1 == NULL) at2 = &(e2->t1); else if (e2->commonVertex(e3) == e2->v1 && e2->t2 == NULL) at2 = &(e2->t2); else return NULL; if (e3->commonVertex(e1) == e3->v2 && e3->t1 == NULL) at3 = &(e3->t1); else if (e3->commonVertex(e1) == e3->v1 && e3->t2 == NULL) at3 = &(e3->t2); else return NULL; tt = new Triangle(e1,e2,e3); *at1 = *at2 = *at3 = tt; T.appendHead(tt); d_boundaries = d_handles = d_shells = 1; return tt; } ///////////////////// Creates an unoriented triangle ////////////////////////// Triangle *Triangulation::CreateUnorientedTriangle(Edge *e1, Edge *e2, Edge *e3) { Triangle *tt, **at1, **at2, **at3; if (e1->t1 == NULL) at1 = &(e1->t1); else if (e1->t2 == NULL) at1 = &(e1->t2); else return NULL; if (e2->t1 == NULL) at2 = &(e2->t1); else if (e2->t2 == NULL) at2 = &(e2->t2); else return NULL; if (e3->t1 == NULL) at3 = &(e3->t1); else if (e3->t2 == NULL) at3 = &(e3->t2); else return NULL; tt = new Triangle(e1,e2,e3); *at1 = *at2 = *at3 = tt; T.appendHead(tt); return tt; } ////////////// Euler operatior: Create edge and triangle ////////////////////// Triangle *Triangulation::EulerEdgeTriangle(Edge *e2, Edge *e3) { Vertex *cv = e2->commonVertex(e3); Triangle *adj = (e2->t1 == NULL)?(e2->t2):(e2->t1); if (cv == NULL || !e2->isOnBoundary() || !e3->isOnBoundary()) return NULL; Edge *e1 = CreateEdge(e2->oppositeVertex(cv), e3->oppositeVertex(cv)); if (adj->nextEdge(e2)->hasVertex(cv)) return CreateTriangle(e1,e3,e2); return CreateTriangle(e1,e2,e3); } ////////////////////////////////////////////////////////////////// // // // P R I M I T I V E D E S T R U C T I O N // // // ////////////////////////////////////////////////////////////////// /////// Unlinks the triangle (elements are not removed from the lists) ////////// void Triangulation::unlinkTriangle(Triangle *t) { Vertex *v1 = t->v1(), *v2 = t->v2(), *v3 = t->v3(); Edge *e1 = t->e1, *e2 = t->e2, *e3 = t->e3; int v1nm = (v1->isOnBoundary() && !e1->isOnBoundary() && !e2->isOnBoundary()); int v2nm = (v2->isOnBoundary() && !e2->isOnBoundary() && !e3->isOnBoundary()); int v3nm = (v3->isOnBoundary() && !e3->isOnBoundary() && !e1->isOnBoundary()); v1->e0 = ((e2->isOnBoundary())?(e1):(e2)); v2->e0 = ((e3->isOnBoundary())?(e2):(e3)); v3->e0 = ((e1->isOnBoundary())?(e3):(e1)); e1->replaceTriangle(t, NULL); e2->replaceTriangle(t, NULL); e3->replaceTriangle(t, NULL); if (e1->isIsolated() && e2->isIsolated()) v1->e0 = NULL; if (e2->isIsolated() && e3->isIsolated()) v2->e0 = NULL; if (e3->isIsolated() && e1->isIsolated()) v3->e0 = NULL; if (e1->isIsolated()) e1->v1 = e1->v2 = NULL; if (e2->isIsolated()) e2->v1 = e2->v2 = NULL; if (e3->isIsolated()) e3->v1 = e3->v2 = NULL; t->e1 = t->e2 = t->e3 = NULL; Vertex *nv; Edge *e; List *ve; Node *n; if (v1nm) { nv = new Vertex(v1->x, v1->y, v1->z); nv->e0 = v1->e0; ve = v1->VE(); FOREACHVEEDGE(ve, e, n) e->replaceVertex(v1, nv); delete(ve); v1->e0 = e1; V.appendHead(nv); } if (v2nm) { nv = new Vertex(v2->x, v2->y, v2->z); nv->e0 = v2->e0; ve = v2->VE(); FOREACHVEEDGE(ve, e, n) e->replaceVertex(v2, nv); delete(ve); v2->e0 = e2; V.appendHead(nv); } if (v3nm) { nv = new Vertex(v3->x, v3->y, v3->z); nv->e0 = v3->e0; ve = v3->VE(); FOREACHVEEDGE(ve, e, n) e->replaceVertex(v3, nv); delete(ve); v3->e0 = e3; V.appendHead(nv); } } //// Unlinks the triangle (elements are not removed from the lists) //// //// Differently from the above method, non-manifold vertices are not duplicated //// void Triangulation::unlinkTriangleNoManifold(Triangle *t) { Edge *e1 = t->e1, *e2 = t->e2, *e3 = t->e3; e1->replaceTriangle(t, NULL); e2->replaceTriangle(t, NULL); e3->replaceTriangle(t, NULL); if (e1->isIsolated()) e1->v1 = e1->v2 = NULL; if (e2->isIsolated()) e2->v1 = e2->v2 = NULL; if (e3->isIsolated()) e3->v1 = e3->v2 = NULL; t->e1 = t->e2 = t->e3 = NULL; } ///// Removes all the triangles with NULL edges ///// int Triangulation::removeTriangles() { Node *n; Triangle *t; int r = 0; n = T.head(); while(n != NULL) { t = (Triangle *)n->data; n = n->next(); if (t->e1 == NULL || t->e2 == NULL || t->e3 == NULL) { r++; T.removeCell((n!=NULL)?(n->prev()):T.tail()); delete t; } } d_boundaries = d_handles = d_shells = 1; return r; } ///// Removes all the edges with NULL vertices ///// int Triangulation::removeEdges() { Node *n; Edge *e; int r = 0; n = E.head(); while (n != NULL) { e = (Edge *)n->data; n = n->next(); if (e->v1 == NULL || e->v2 == NULL) { r++; E.removeCell((n!=NULL)?(n->prev()):E.tail()); delete e; } } d_boundaries = d_handles = d_shells = 1; return r; } /////////// Removes all the vertices with e0 field = NULL //////////// int Triangulation::removeVertices() { Node *n; Vertex *v; int r = 0; n = V.head(); while (n != NULL) { v = (Vertex *)n->data; n = n->next(); if (v->e0 == NULL) { r++; V.removeCell((n!=NULL)?(n->prev()):V.tail()); delete v; } } d_boundaries = d_handles = d_shells = 1; return r; } ////////////////////////////////////////////////////////////////// // // // S E L E C T I O N M A N A G E M E N T // // // ////////////////////////////////////////////////////////////////// //////////////// Select all the triangles ///////////// void Triangulation::selectAllTriangles(short markBit) { Triangle *t; Node *n; FOREACHTRIANGLE(t, n) MARK_BIT(t, markBit); } //////////////// Deselect all the triangles ///////////// void Triangulation::deselectTriangles(short markBit) { Triangle *t; Node *n; FOREACHTRIANGLE(t, n) UNMARK_BIT(t, markBit); } //////// Removes all the selected (IS_VISITED) triangles ///////////// void Triangulation::removeSelectedTriangles() { Node *n; Triangle *t; FOREACHTRIANGLE(t, n) if (IS_VISITED(t)) unlinkTriangle(t); removeUnlinkedElements(); } // Mark all the triangles having at least one boundary vertex as 'selected' int Triangulation::selectBoundaryTriangles() { Node *n; Edge *e; Vertex *v, *v1, *v2, *v3; Triangle *t; int ns=0; FOREACHEDGE(e, n) if (e->isOnBoundary()) {MARK_VISIT(e->v1); MARK_VISIT(e->v2);} FOREACHTRIANGLE(t, n) if (!IS_VISITED(t)) { v1 = t->v1(); v2 = t->v2(); v3 = t->v3(); if (IS_VISITED(v1) || IS_VISITED(v2) || IS_VISITED(v3)) {MARK_VISIT(t); ns++;} } FOREACHVERTEX(v, n) UNMARK_VISIT(v); return ns; } // Grows the current selection (1 triangle width) int Triangulation::growSelection() { Node *n; Vertex *v, *v1, *v2, *v3; Triangle *t; int ns=0; FOREACHTRIANGLE(t, n) if (IS_VISITED(t)) { v1 = t->v1(); v2 = t->v2(); v3 = t->v3(); MARK_VISIT(v1); MARK_VISIT(v2); MARK_VISIT(v3); } FOREACHTRIANGLE(t, n) if (!IS_VISITED(t)) { v1 = t->v1(); v2 = t->v2(); v3 = t->v3(); if (IS_VISITED(v1) || IS_VISITED(v2) || IS_VISITED(v3)) {MARK_VISIT(t); ns++;} } FOREACHVERTEX(v, n) UNMARK_VISIT(v); return ns; } // Shrinks the current selection (1 triangle width) void Triangulation::shrinkSelection() { Node *n; Vertex *v, *v1, *v2, *v3; Triangle *t; FOREACHTRIANGLE(t, n) if (!IS_VISITED(t)) { v1 = t->v1(); v2 = t->v2(); v3 = t->v3(); MARK_VISIT(v1); MARK_VISIT(v2); MARK_VISIT(v3); } FOREACHTRIANGLE(t, n) if (IS_VISITED(t)) { v1 = t->v1(); v2 = t->v2(); v3 = t->v3(); if (IS_VISITED(v1) || IS_VISITED(v2) || IS_VISITED(v3)) UNMARK_VISIT(t); } FOREACHVERTEX(v, n) UNMARK_VISIT(v); } // Toggles the selection status of the triangles void Triangulation::invertSelection(Triangle *t0) { Node *n; Triangle *t; if (t0 != NULL) { List totoggle(t0); Triangle *s; bool unmark = IS_VISITED(t0); if (unmark) UNMARK_VISIT(t0); else MARK_VISIT(t0); while ((t = (Triangle *)totoggle.popHead()) != NULL) { if ((s = t->t1()) != NULL && ((IS_VISITED(s) && unmark) || (!IS_VISITED(s) && !unmark))) {if (unmark) UNMARK_VISIT(s); else MARK_VISIT(s); totoggle.appendTail(s);} if ((s = t->t2()) != NULL && ((IS_VISITED(s) && unmark) || (!IS_VISITED(s) && !unmark))) {if (unmark) UNMARK_VISIT(s); else MARK_VISIT(s); totoggle.appendTail(s);} if ((s = t->t3()) != NULL && ((IS_VISITED(s) && unmark) || (!IS_VISITED(s) && !unmark))) {if (unmark) UNMARK_VISIT(s); else MARK_VISIT(s); totoggle.appendTail(s);} } } else { FOREACHTRIANGLE(t, n) if (IS_VISITED(t)) UNMARK_VISIT(t); else MARK_VISIT(t); } } void Triangulation::reselectSelection(Triangle *t0, char selectBit, bool deselectOthers) { if (!IS_VISITED(t0)) return; Node *n; Triangle *t, *s; List triList(t0); char tmpBit = selectBit == 1 ? 2 : 1; MARK_BIT(t0,tmpBit); while(triList.numels()) { t = (Triangle *)triList.popHead(); if ((s = t->t1()) != NULL && !IS_BIT(s,tmpBit) && IS_VISITED(s)) {triList.appendHead(s); MARK_BIT(s,tmpBit);} if ((s = t->t2()) != NULL && !IS_BIT(s,tmpBit) && IS_VISITED(s)) {triList.appendHead(s); MARK_BIT(s,tmpBit);} if ((s = t->t3()) != NULL && !IS_BIT(s,tmpBit) && IS_VISITED(s)) {triList.appendHead(s); MARK_BIT(s,tmpBit);} } FOREACHTRIANGLE(t, n) if (IS_BIT(t,tmpBit)) MARK_BIT(t, selectBit); else if(deselectOthers) UNMARK_VISIT(t); } // Creates a new mesh out of a selection. Triangulation *Triangulation::createSubMeshFromSelection(Triangle *t0, bool keep_ref) { Triangle *t,*s, *nt; Node *n; if (t0 != NULL && !IS_VISITED(t0)) return NULL; Triangulation *tin = new Triangulation; Vertex *v,*nv; Edge *e, *ne; List triList, sT, sE, sV; if (t0 != NULL) { triList.appendHead(t0); MARK_BIT(t0,3); while(triList.numels()) { t = (Triangle *)triList.popHead(); sT.appendHead(t); if (!IS_BIT(t->e1, 3)) {sE.appendHead(t->e1); MARK_BIT(t->e1, 3);} if (!IS_BIT(t->e2, 3)) {sE.appendHead(t->e2); MARK_BIT(t->e2, 3);} if (!IS_BIT(t->e3, 3)) {sE.appendHead(t->e3); MARK_BIT(t->e3, 3);} if ((v=t->v1()) && !IS_BIT(v, 3)) {sV.appendHead(v); MARK_BIT(v, 3);} if ((v=t->v2()) && !IS_BIT(v, 3)) {sV.appendHead(v); MARK_BIT(v, 3);} if ((v=t->v3()) && !IS_BIT(v, 3)) {sV.appendHead(v); MARK_BIT(v, 3);} if ((s = t->t1()) != NULL && !IS_BIT(s,3) && IS_VISITED(s)) {triList.appendHead(s); MARK_BIT(s,3);} if ((s = t->t2()) != NULL && !IS_BIT(s,3) && IS_VISITED(s)) {triList.appendHead(s); MARK_BIT(s,3);} if ((s = t->t3()) != NULL && !IS_BIT(s,3) && IS_VISITED(s)) {triList.appendHead(s); MARK_BIT(s,3);} } } else { FOREACHTRIANGLE(t, n) if (IS_VISITED(t)) {sT.appendHead(t); MARK_BIT(t->e1, 3); MARK_BIT(t->e2, 3); MARK_BIT(t->e3, 3);} FOREACHEDGE(e, n) if (IS_BIT(e,3)) {sE.appendHead(e); MARK_BIT(e->v1, 3); MARK_BIT(e->v2, 3);} FOREACHVERTEX(v, n) if (IS_BIT(v,3)) sV.appendHead(v); } FOREACHVEEDGE((&sE), e, n) e->v1->e0 = e->v2->e0 = e; int i; void **v_info = NULL, **e_info = NULL, **t_info = NULL; if (!keep_ref) { v_info = new void *[sV.numels()]; i=0; FOREACHVVVERTEX((&sV), v, n) v_info[i++] = v->info; e_info = new void *[sE.numels()]; i=0; FOREACHVEEDGE((&sE), e, n) e_info[i++] = e->info; t_info = new void *[sT.numels()]; i=0; FOREACHVTTRIANGLE((&sT), t, n) t_info[i++] = t->info; } FOREACHVVVERTEX((&sV), v, n) {nv=new Vertex(v); tin->V.appendTail(nv); v->info = nv;} FOREACHVEEDGE((&sE), e, n) {ne=new Edge((Vertex *)e->v1->info, (Vertex *)e->v2->info); tin->E.appendTail(ne); e->info = ne;} FOREACHVTTRIANGLE((&sT), t, n) {nt=new Triangle((Edge *)t->e1->info,(Edge *)t->e2->info,(Edge *)t->e3->info); tin->T.appendTail(nt); t->info = nt; nt->info = t;} FOREACHVVVERTEX((&sV), v, n) ((Vertex *)v->info)->e0 = (Edge *)v->e0->info; FOREACHVEEDGE((&sE), e, n) { ((Edge *)e->info)->t1 = (e->t1 && IS_VISITED(e->t1))?((Triangle *)e->t1->info):(NULL); ((Edge *)e->info)->t2 = (e->t2 && IS_VISITED(e->t2))?((Triangle *)e->t2->info):(NULL); } i=0; if (!keep_ref) FOREACHVVVERTEX((&sV), v, n) v->info = v_info[i++]; i=0; if (!keep_ref) FOREACHVEEDGE((&sE), e, n) e->info = e_info[i++]; i=0; if (!keep_ref) FOREACHVTTRIANGLE((&sT), t, n) t->info = t_info[i++]; FOREACHVTTRIANGLE((&sT), t, n) UNMARK_BIT(t, 3); FOREACHVEEDGE((&sE), e, n) UNMARK_BIT(e, 3); FOREACHVVVERTEX((&sV), v, n) UNMARK_BIT(v, 3); if (!sT.numels()) {delete(tin); return NULL;} tin->duplicateNonManifoldVertices(); tin->eulerUpdate(); return tin; } ///// Marks all the triangles within distance L as selected ////// int Triangulation::selectSphericalRegion(Triangle *t, const double L, const Point *center) { List *reg = getRegion(t, L, center); Node *n; Triangle *s; int nt=0; FOREACHVTTRIANGLE(reg, s, n) {MARK_VISIT(s); nt++;} delete(reg); return nt; } ///// Deselects all the triangles within distance L ////// int Triangulation::deselectSphericalRegion(Triangle *t, const double L, const Point *center) { List *reg = getRegion(t, L, center); Node *n; Triangle *s; int nt=0; FOREACHVTTRIANGLE(reg, s, n) {UNMARK_VISIT(s); nt++;} delete(reg); return nt; } ///// Selects all the triangles within distance L which were already ////// ///// selected. Deselects the others. ////// void Triangulation::reselectSphericalRegion(Triangle *t, const double L, const Point *center) { List *reg = getRegion(t, L, center); Node *n; Triangle *s; FOREACHVTTRIANGLE(reg, s, n) MARK_VISIT2(s); FOREACHTRIANGLE(s, n) if (IS_VISITED(s) && !IS_VISITED2(s)) UNMARK_VISIT(s); FOREACHVTTRIANGLE(reg, s, n) UNMARK_VISIT2(s); delete(reg); } //// Remove all the selected triangles and re-triangulate ///// bool Triangulation::retriangulateSelectedRegion() { List ttbr; Node *n; Triangle *u; Point nor; FOREACHTRIANGLE(u, n) if (IS_VISITED(u)) {ttbr.appendHead(u); nor = nor+(u->getNormal()*u->area());} if (ttbr.numels() < 2) { JMesh::warning("retriangulateRegion: Nothing to retriangulate.\n"); return 0; } FOREACHVTTRIANGLE((&(ttbr)), u, n) if (u->getNormal()*nor <= 0.0) { JMesh::warning("retriangulateRegion: Too complex geometry. Can't retriangulate.\n"); return 0; } if (!isSelectionSimple(&ttbr)) { JMesh::warning("retriangulateRegion: Non-simple region. Can't retriangulate.\n"); return 0; } List *ms = getRegionInternalVertices(&ttbr); FOREACHVTTRIANGLE((&(ttbr)), u, n) unlinkTriangle(u); Edge *e = ((Edge *)ms->head()->data); List *vl = ((List *)ms->head()->next()->data); TriangulateHole(e, vl); delete(vl); delete(ms); removeUnlinkedElements(); return 1; } ////////// Check wether 's' represents a simple selection //////// bool Triangulation::isSelectionSimple(List *s) { if (!s->numels()) return 0; // Empty region is not simple Node *n; Triangle *ta, *t = (Triangle *)s->head()->data; List bdr, top(t); MARK_VISIT2(t); int nv=0; while (top.numels()) { t = (Triangle *)top.popHead(); nv++; ta=t->t1(); if (ta && IS_VISITED(ta) && !IS_VISITED2(ta)) {MARK_VISIT2(ta); top.appendHead(ta);} else if (ta == NULL) break; else if (!IS_VISITED(ta)) bdr.appendHead(t->e1); ta=t->t2(); if (ta && IS_VISITED(ta) && !IS_VISITED2(ta)) {MARK_VISIT2(ta); top.appendHead(ta);} else if (ta == NULL) break; else if (!IS_VISITED(ta)) bdr.appendHead(t->e2); ta=t->t3(); if (ta && IS_VISITED(ta) && !IS_VISITED2(ta)) {MARK_VISIT2(ta); top.appendHead(ta);} else if (ta == NULL) break; else if (!IS_VISITED(ta)) bdr.appendHead(t->e3); } FOREACHVTTRIANGLE(s, t, n) UNMARK_VISIT2(t); if (top.numels()) return 0; // Mesh-boundary in selection if (nv != s->numels()) return 0; // Disconnected selection Edge *e, *f, *ge=NULL, *e0; List *ve; FOREACHVEEDGE((&(bdr)), e, n) MARK_VISIT(e); int nae; nv = 0; e = e0 = (Edge *)bdr.head()->data; Vertex *v = e->v1; do { nv++; v = e->oppositeVertex(v); ve = v->VE(); nae=0; FOREACHVEEDGE(ve, f, n) if (f!=e && IS_VISITED(f)) {ge=f; nae++;} delete(ve); if (nae > 1) break; e=ge; } while (e != e0); FOREACHVEEDGE((&(bdr)), e, n) UNMARK_VISIT(e); if (nv != bdr.numels()) return 0; // Non-simple selection return 1; } //// Unmarks all the elements of the triangulation //// //// but leaves selected triangles marked. //// void Triangulation::unmarkEverythingButSelections() { Vertex *v; Edge *e; Triangle *t; Node *n; FOREACHVERTEX(v, n) v->mask = 0; FOREACHEDGE(e, n) e->mask = 0; FOREACHTRIANGLE(t, n) t->mask &= (unsigned char)1; } //// Selects all the triangles of the shell containing 't' //// int Triangulation::selectConnectedComponent(Triangle *t0, bool sos) { List todo; Triangle *t, *t1, *t2, *t3; int ns = 0; todo.appendHead(t0); while (todo.numels()) { t = (Triangle *)todo.popHead(); if (!IS_VISITED(t)) { t1 = t->t1(); t2 = t->t2(); t3 = t->t3(); if (t1 != NULL && !IS_VISITED(t1) && (!(sos && IS_SHARPEDGE(t->e1)))) todo.appendHead(t1); if (t2 != NULL && !IS_VISITED(t2) && (!(sos && IS_SHARPEDGE(t->e2)))) todo.appendHead(t2); if (t3 != NULL && !IS_VISITED(t3) && (!(sos && IS_SHARPEDGE(t->e3)))) todo.appendHead(t3); MARK_VISIT(t); ns++; } } return ns; } //// Deselects all the triangles of the shell containing 't' //// int Triangulation::deselectConnectedComponent(Triangle *t0, bool sos) { List todo; Triangle *t, *t1, *t2, *t3; int ns = 0; todo.appendHead(t0); while (todo.numels()) { t = (Triangle *)todo.popHead(); if (IS_VISITED(t)) { t1 = t->t1(); t2 = t->t2(); t3 = t->t3(); if (t1 != NULL && IS_VISITED(t1) && (!(sos && IS_SHARPEDGE(t->e1)))) todo.appendHead(t1); if (t2 != NULL && IS_VISITED(t2) && (!(sos && IS_SHARPEDGE(t->e2)))) todo.appendHead(t2); if (t3 != NULL && IS_VISITED(t3) && (!(sos && IS_SHARPEDGE(t->e3)))) todo.appendHead(t3); UNMARK_VISIT(t); ns++; } } return ns; } // Append to the current mesh a copy of all the elements of 'src'. // The newly created elements form a new selection. void Triangulation::append(Triangulation *src) { deselectTriangles(); Triangulation cb(src); cb.invertSelection(); V.joinTailList(&(cb.V)); E.joinTailList(&(cb.E)); T.joinTailList(&(cb.T)); d_boundaries = d_handles = d_shells = 1; } void Triangulation::joinTailTriangulation(Triangulation *src) { V.joinTailList(&src->V); E.joinTailList(&src->E); T.joinTailList(&src->T); d_boundaries = d_handles = d_shells = 1; } void Triangulation::joinHeadTriangulation(Triangulation *src) { src->joinTailTriangulation(this); this->joinTailTriangulation(src); } Triangulation *Triangulation::extractShell(Triangle *t, const bool copy_mask) { Node *n, *nin; Vertex *v,*vin; Edge *e, *ein; Triangle *thlp,*thlpin; Triangulation *tin; int i; // modification A.T.: mask byte is copied if desired if(copy_mask) { // copy mask bits (V,E,T) into arrays char *v_mask = new char [V.numels()]; i=0; FOREACHVERTEX(v, n) { v_mask[i++] = v->mask; v->mask = 0; }; char *e_mask = new char [E.numels()]; i=0; FOREACHEDGE(e, n) { e_mask[i++] = e->mask; e->mask = 0; }; char *t_mask = new char [T.numels()]; i=0; FOREACHTRIANGLE(thlp, n) { t_mask[i++] = thlp->mask; thlp->mask = 0; }; // copy v->info pointers into array and set all v->info pointers to NULL void **v_info = new void *[V.numels()]; i=0; FOREACHVERTEX(v, n){ v_info[i++]=v->info; v->info = NULL;}; tin = new Triangulation((Triangle*) t,1); // the info->pointers in the original triangulation are now NULL or point // to corresponding new vertics, triangles and edges in tin: // so loop over original V,E,T, and whenever info is not NULL, copy mask bit // from array to tin (for V, also copy info pointers to keep numbering) i=0; FOREACHTRIANGLE(thlp, n) { if(thlp->info) { thlpin = (Triangle *)thlp->info; thlpin->mask = t_mask[i]; }; i++; } i=0; FOREACHVERTEX(v, n) { if(v->info) { vin = (Vertex *)v->info; vin->mask = v_mask[i]; vin->info = v_info[i]; }; i++; } i=0; FOREACHEDGE(e, n) { if(e->info) { ein = (Edge *)e->info; ein->mask = e_mask[i]; }; i++; } // copy v->info pointers back from array to original triangulation i=0; FOREACHVERTEX(v, n) v->info = v_info[i++]; // copy back mask bits from arrays to original triangulation i=0; FOREACHVERTEX(v, n) v->mask = v_mask[i++]; i=0; FOREACHEDGE(e, n) e->mask = e_mask[i++]; // copy back masks only for triangles that will not be removed below; otherwise this->removeShell(t) is "confused" i=0; FOREACHTRIANGLE(thlp, n) { if(!thlp->info) { thlp->mask = t_mask[i]; }; i++; }; // clean up memory delete [] v_mask; delete [] e_mask; delete [] t_mask; delete [] v_info; } else tin = new Triangulation((Triangle*) t); this->removeShell(t); // removeShell apparently does not change the mask bits of the triangles that are not removed !? // so this should be OK; but mask bit 2 of triangles that are removed have to be set to 0 before! return tin; } Triangulation *Triangulation::extractFirstShell(const bool copy_mask) { return this->extractShell((Triangle*)T.head()->data,copy_mask); } ////////////////////////////////////////////////////////////////// // // // R E G I O N M A N I P U L A T I O N // // // ////////////////////////////////////////////////////////////////// ///// Make a list with all the triangles within distance L ////// List *Triangulation::getRegion(Triangle *t, const double L, const Point *center) { List triList, *toRemove = new List; if (t->v1()->distance(center) > L) return toRemove; if (t->v2()->distance(center) > L) return toRemove; if (t->v3()->distance(center) > L) return toRemove; Triangle *s; Node *n; triList.appendHead(t); MARK_BIT(t,3); while(triList.numels() > 0) { t = (Triangle *)triList.head()->data; triList.removeCell(triList.head()); toRemove->appendHead(t); if ((s = t->t1()) != NULL && !IS_BIT(s,3) && s->oppositeVertex(t->e1)->distance(center) <= L) {triList.appendHead(s); MARK_BIT(s,3);} if ((s = t->t2()) != NULL && !IS_BIT(s,3) && s->oppositeVertex(t->e2)->distance(center) <= L) {triList.appendHead(s); MARK_BIT(s,3);} if ((s = t->t3()) != NULL && !IS_BIT(s,3) && s->oppositeVertex(t->e3)->distance(center) <= L) {triList.appendHead(s); MARK_BIT(s,3);} } FOREACHVTTRIANGLE(toRemove, s, n) UNMARK_BIT(s, 3); return toRemove; } ///// Unlink all the triangles within distance L ////// void Triangulation::removeRegion(Triangle *t, const double L, const Point *center) { List triList, toRemove; Node *n; Triangle *s; triList.appendHead(t); MARK_VISIT(t); while(triList.numels() > 0) { t = (Triangle *)triList.head()->data; triList.removeCell(triList.head()); toRemove.appendHead(t); if ((s = t->t1()) != NULL && !IS_VISITED(s) && s->oppositeVertex(t->e1)->distance(center) <= L) {triList.appendHead(s); MARK_VISIT(s);} if ((s = t->t2()) != NULL && !IS_VISITED(s) && s->oppositeVertex(t->e2)->distance(center) <= L) {triList.appendHead(s); MARK_VISIT(s);} if ((s = t->t3()) != NULL && !IS_VISITED(s) && s->oppositeVertex(t->e3)->distance(center) <= L) {triList.appendHead(s); MARK_VISIT(s);} } for (n = toRemove.tail(); n != NULL; n=n->prev()) { s = ((Triangle *)n->data); unlinkTriangle(s); } removeUnlinkedElements(); } //////// Next region's boundary vertex ///////////// Vertex *Triangulation::nextVertexOnRegionBoundary(Vertex *sv) const { Triangle *lt, *rt; Edge *e; List *ve = sv->VE(); Node *n; FOREACHVEEDGE(ve, e, n) { lt = e->leftTriangle(sv); rt = e->rightTriangle(sv); if (lt != NULL && IS_VISITED(lt) && (rt == NULL || !IS_VISITED(rt))) {delete(ve); return e->oppositeVertex(sv);} } delete(ve); return NULL; } //// This method returns a list containing an edge of the region's boundary //// //// as its first element, and all the internal vertices as the remaining //// List *Triangulation::getRegionInternalVertices(List *reg) { List *iVertices = new List; List *outList = new List; Edge *bEdge = NULL; Triangle *s, *t; Node *n; Vertex *v1, *v2, *v3; FOREACHVTTRIANGLE(reg, t, n) {MARK_VISIT(t); MARK_BIT(t, 3);} FOREACHVTTRIANGLE(reg, t, n) { if (IS_BIT(t,3)) { UNMARK_BIT(t,3); if ((s = t->t1()) != NULL && !IS_VISITED(s)) {bEdge = t->e1; MARK_BIT(t->e1->v1, 3); MARK_BIT(t->e1->v2, 3);} if ((s = t->t2()) != NULL && !IS_VISITED(s)) {bEdge = t->e2; MARK_BIT(t->e2->v1, 3); MARK_BIT(t->e2->v2, 3);} if ((s = t->t3()) != NULL && !IS_VISITED(s)) {bEdge = t->e3; MARK_BIT(t->e3->v1, 3); MARK_BIT(t->e3->v2, 3);} } } FOREACHVTTRIANGLE(reg, s, n) { v1 = s->v1(); v2 = s->v2(); v3 = s->v3(); if (!IS_BIT(v1, 3)) {iVertices->appendHead(v1); MARK_BIT(v1, 3);} if (!IS_BIT(v2, 3)) {iVertices->appendHead(v2); MARK_BIT(v2, 3);} if (!IS_BIT(v3, 3)) {iVertices->appendHead(v3); MARK_BIT(v3, 3);} } FOREACHVTTRIANGLE(reg, s, n) { v1 = s->v1(); v2 = s->v2(); v3 = s->v3(); UNMARK_BIT(v1, 3); UNMARK_BIT(v2, 3); UNMARK_BIT(v3, 3); } outList->appendHead(iVertices); outList->appendHead(bEdge); return outList; } // Transforms only the shell indicated by 't0' void Triangulation::transformShell(Triangle *t0, const Matrix4x4& m) { List todo(t0), st, sv; Triangle *t, *nt; Vertex *v; double x, y, z, w; while (todo.numels()) { t = (Triangle *)todo.popHead(); st.appendHead(t); nt=t->t1(); if (nt != NULL && !IS_VISITED(nt)) {MARK_VISIT(nt); todo.appendHead(nt);} nt=t->t2(); if (nt != NULL && !IS_VISITED(nt)) {MARK_VISIT(nt); todo.appendHead(nt);} nt=t->t3(); if (nt != NULL && !IS_VISITED(nt)) {MARK_VISIT(nt); todo.appendHead(nt);} } while (st.numels()) { t = (Triangle *)st.popHead(); UNMARK_VISIT(t); v = t->v1(); if (!IS_VISITED(v)) {MARK_VISIT(v); sv.appendHead(v);} v = t->v2(); if (!IS_VISITED(v)) {MARK_VISIT(v); sv.appendHead(v);} v = t->v3(); if (!IS_VISITED(v)) {MARK_VISIT(v); sv.appendHead(v);} } while (sv.numels()) { v = (Vertex *)sv.popHead(); UNMARK_VISIT(v); x = ((*v)*Point(m.matrix[0][0],m.matrix[1][0],m.matrix[2][0]))+m.matrix[3][0]; y = ((*v)*Point(m.matrix[0][1],m.matrix[1][1],m.matrix[2][1]))+m.matrix[3][1]; z = ((*v)*Point(m.matrix[0][2],m.matrix[1][2],m.matrix[2][2]))+m.matrix[3][2]; w = ((*v)*Point(m.matrix[0][3],m.matrix[1][3],m.matrix[2][3]))+m.matrix[3][3]; v->x = x/w; v->y = y/w; v->z = z/w; } } //// Removes all the triangles of the shell containing 't0' //// void Triangulation::removeShell(Triangle *t0) { List todo(t0); Triangle *t, *t1, *t2, *t3; while (todo.numels()) { t = (Triangle *)todo.popHead(); t1 = t->t1(); t2 = t->t2(); t3 = t->t3(); if (t1 != NULL && !IS_VISITED2(t1)) {MARK_VISIT2(t1); todo.appendHead(t1);} if (t2 != NULL && !IS_VISITED2(t2)) {MARK_VISIT2(t2); todo.appendHead(t2);} if (t3 != NULL && !IS_VISITED2(t3)) {MARK_VISIT2(t3); todo.appendHead(t3);} unlinkTriangle(t); } removeUnlinkedElements(); } List* Triangulation::getComponentsList() { List todo; List *component, *components = new List(); Triangle *t, *t1, *t2, *t3; Node *n; // unmark all triangles FOREACHTRIANGLE(t, n) if(t != NULL) UNMARK_VISIT2(t); // fill components list FOREACHTRIANGLE(t, n) { if(!IS_VISITED2(t)) { component = new List; components->appendHead(component); todo.appendHead(t); while (t = (Triangle*) todo.popHead()) { if (!IS_VISITED2(t)) { t1 = t->t1(); t2 = t->t2(); t3 = t->t3(); // append neighbor triangles to todo list if (t1 && !IS_VISITED2(t1)) todo.appendHead(t1); if (t2 && !IS_VISITED2(t2)) todo.appendHead(t2); if (t3 && !IS_VISITED2(t3)) todo.appendHead(t3); MARK_VISIT2(t); component->appendTail(t); } } } } // unmark all triangles FOREACHTRIANGLE(t, n) UNMARK_VISIT2(t); return components; } ////////////////////////////////////////////////////////////////// // // // G L O B A L O P E R A T I O N S // // // ////////////////////////////////////////////////////////////////// /////// Tags as sharp all the edges exceeding the given curvature /////////// void Triangulation::sharpEdgeTagging(const double ta) { Node *n; Edge *e; FOREACHEDGE(e, n) if (e->curvature() > ta) TAG_SHARPEDGE(e); else UNTAG_SHARPEDGE(e); } //// Unmarks all the elements of the triangulation //// void Triangulation::unmarkEverything() { Vertex *v; Edge *e; Triangle *t; Node *n; FOREACHVERTEX(v, n) v->mask = 0; FOREACHEDGE(e, n) e->mask = 0; FOREACHTRIANGLE(t, n) t->mask = 0; } ///// Compute the bounding box and return its max edge ///// double Triangulation::getBoundingBox(Point& mp, Point& Mp) const { Vertex *v; Node *n; Mp.x = -DBL_MAX, mp.x = DBL_MAX; Mp.y = -DBL_MAX, mp.y = DBL_MAX; Mp.z = -DBL_MAX, mp.z = DBL_MAX; FOREACHVERTEX(v, n) { if (v->x < mp.x) mp.x = v->x; if (v->x > Mp.x) Mp.x = v->x; if (v->y < mp.y) mp.y = v->y; if (v->y > Mp.y) Mp.y = v->y; if (v->z < mp.z) mp.z = v->z; if (v->z > Mp.z) Mp.z = v->z; } return MAX(Mp.x-mp.x,MAX(Mp.y-mp.y,Mp.z-mp.z)); } ///// Compute the approximate bounding ball radius ///// double Triangulation::getBoundingBallRadius() const { Vertex *v; Node *n; Point tc, mp, Mp; double tb, bsr = getBoundingBox(mp, Mp)/2; Point bsc = (Mp+mp)/2; FOREACHVERTEX(v, n) if ((tb = ((*v)-bsc).length()) > bsr) { tc = ((*v)-bsc); tc.normalize(); tb = ((tb-bsr)/2); bsc = bsc+(tc*tb); bsr += tb; } return bsr; } ////// Returns the surface area of the mesh ////// double Triangulation::area() const { Triangle *t; Node *n; double a=0.0; FOREACHTRIANGLE(t, n) a += t->area(); return a; } ////// Returns the volume of the mesh ////// double Triangulation::volume() const { Triangle *t; Node *n; double v=0.0; FOREACHTRIANGLE(t, n) v += (t->getCenter()*t->getNormal())*t->area(); return v/3; } ///// Places the mesh into the unit cube by translating and resizing ///// ///// so that all the coordinates are between 0 and mc (default =1). ///// void Triangulation::normalize(double mc) { Vertex *v; Node *n; Point mp, Mp; double mel = getBoundingBox(mp, Mp)/mc; FOREACHVERTEX(v, n) v->setValue(((*v)-mp)/mel); // Shift and normalize } /////// Transforms all the vertices using the 4x4 matrix 'm' /////////// void Triangulation::transform(const Matrix4x4& m) { Node *n; Vertex *v; double x,y,z,w; FOREACHVERTEX(v, n) { x = ((*v)*Point(m.matrix[0][0],m.matrix[1][0],m.matrix[2][0]))+m.matrix[3][0]; y = ((*v)*Point(m.matrix[0][1],m.matrix[1][1],m.matrix[2][1]))+m.matrix[3][1]; z = ((*v)*Point(m.matrix[0][2],m.matrix[1][2],m.matrix[2][2]))+m.matrix[3][2]; w = ((*v)*Point(m.matrix[0][3],m.matrix[1][3],m.matrix[2][3]))+m.matrix[3][3]; v->x = x/w; v->y = y/w; v->z = z/w; } } // Add noise in the normal direction. Normal displacement is // bounded by ns% of the bounding ball radius. void Triangulation::addNormalNoise(double ns) { Vertex *v; Node *n; Point np; int i; double noise; coord *xyz = (coord *)malloc(sizeof(coord)*V.numels()*3); ns *= (getBoundingBallRadius()/100.0); i=0; FOREACHVERTEX(v, n) { noise = ns*(((((double)rand()))-(((double)RAND_MAX)/2.0))/((double)RAND_MAX)); np = (*v)+((v->getNormal())*noise); xyz[i++]=np.x; xyz[i++]=np.y; xyz[i++]=np.z; } i=0; FOREACHVERTEX(v, n) {v->x=xyz[i++]; v->y=xyz[i++]; v->z=xyz[i++];} free(xyz); } // Iteratively swap edges to maximize the minimum angle. // Checks and avoids normal inversion. bool Triangulation::iterativeEdgeSwaps() { Node *n; Edge *e, *f; double l; int swaps=1, totits=1; Point n1, n2, nor; List toswap; bool selection=0; Triangle *t; FOREACHTRIANGLE(t, n) if (IS_VISITED(t)) {selection=1; break;} FOREACHEDGE(e, n) if (!IS_SHARPEDGE(e) && !e->isOnBoundary()) { MARK_VISIT(e); if ((!selection || (IS_VISITED(e->t1) && IS_VISITED(e->t2)))) toswap.appendTail(e); } JMesh::begin_progress(); while (swaps && totits++ < 10) { swaps = 0; for (n=toswap.head(); n!=NULL; ) { e = (Edge *)n->data; if (n==toswap.tail()) {toswap.removeCell(toswap.tail()); n=NULL;} else {n=n->next(); toswap.removeCell(n->prev());} UNMARK_VISIT(e); if (!e->t1->isNeedle() && !e->t2->isNeedle()) { n1 = e->t1->getNormal(); n2 = e->t2->getNormal(); nor = n1+n2; l = e->delaunayMinAngle(); if (e->swap()) { if (e->t1->isNeedle() || e->t2->isNeedle() || e->delaunayMinAngle() <= l*1.000001 || nor*e->t1->getNormal() <= 0 || nor*e->t2->getNormal() <= 0) e->swap(1); else { swaps++; f = e->t1->nextEdge(e); if (!IS_VISITED(f) && !IS_SHARPEDGE(f) && !f->isOnBoundary()) {MARK_VISIT(f); toswap.appendHead(f);} f = e->t1->prevEdge(e); if (!IS_VISITED(f) && !IS_SHARPEDGE(f) && !f->isOnBoundary()) {MARK_VISIT(f); toswap.appendHead(f);} f = e->t2->nextEdge(e); if (!IS_VISITED(f) && !IS_SHARPEDGE(f) && !f->isOnBoundary()) {MARK_VISIT(f); toswap.appendHead(f);} f = e->t2->prevEdge(e); if (!IS_VISITED(f) && !IS_SHARPEDGE(f) && !f->isOnBoundary()) {MARK_VISIT(f); toswap.appendHead(f);} } } } } JMesh::report_progress("Swaps: %d ", swaps); } JMesh::end_progress(); FOREACHEDGE(e, n) UNMARK_VISIT(e); if (totits >= 10) { JMesh::warning("Optimization did not converge after 10 iterations! Stopping.\n"); JMesh::warning("You may try to run the method again.\n"); return 0; } return 1; } ////////////////////////////////////////////////////////////////// // // // T O P O L O G Y M A N I P U L A T I O N // // // ////////////////////////////////////////////////////////////////// ////// Invertes all the triangle normals and edge orientations /////// void Triangulation::flipNormals() { Node *n; Edge *e; Triangle *t; FOREACHTRIANGLE(t, n) t->invert(); FOREACHEDGE(e, n) p_swap((void **)(&(e->v1)), (void **)(&(e->v2))); } //// Marks all the triangles of the shell containing 't' //// void Triangulation::flipNormals(Triangle *t0) { List todo; Triangle *t, *t1, *t2, *t3; todo.appendHead(t0); while (todo.numels()) { t = (Triangle *)todo.popHead(); if (!IS_BIT(t,2)) { t1 = t->t1(); t2 = t->t2(); t3 = t->t3(); if (t1 != NULL && !IS_BIT(t1,2)) todo.appendHead(t1); if (t2 != NULL && !IS_BIT(t2,2)) todo.appendHead(t2); if (t3 != NULL && !IS_BIT(t3,2)) todo.appendHead(t3); t->invert(); if (!IS_BIT(t->e1,2)) p_swap((void **)(&(t->e1->v1)), (void **)(&(t->e1->v2))); if (!IS_BIT(t->e2,2)) p_swap((void **)(&(t->e2->v1)), (void **)(&(t->e2->v2))); if (!IS_BIT(t->e3,2)) p_swap((void **)(&(t->e3->v1)), (void **)(&(t->e3->v2))); MARK_BIT(t->e1,2); MARK_BIT(t->e2,2); MARK_BIT(t->e3,2); MARK_BIT(t,2); } } todo.appendHead(t0); while (todo.numels()) { t = (Triangle *)todo.popHead(); if (IS_BIT(t,2)) { t1 = t->t1(); t2 = t->t2(); t3 = t->t3(); if (t1 != NULL && IS_BIT(t1,2)) todo.appendHead(t1); if (t2 != NULL && IS_BIT(t2,2)) todo.appendHead(t2); if (t3 != NULL && IS_BIT(t3,2)) todo.appendHead(t3); UNMARK_BIT(t->e1,2); UNMARK_BIT(t->e2,2); UNMARK_BIT(t->e3,2); UNMARK_BIT(t,2); } } } //// Returns the top triangle of the mesh (max. z) //// Triangle *Triangulation::topTriangle(Triangle *t0) { Node *n; Vertex *v, *hv = NULL, *v1, *v2, *v3; Edge *e, *fe = NULL; coord az, Mz = -COORD_MAX; Triangle *t, *t1, *t2, *t3; List *ve, todo, tlist, elist, vlist; todo.appendHead(t0); MARK_BIT(t0,2); while (todo.numels()) { t = (Triangle *)todo.popHead(); tlist.appendHead(t); t1 = t->t1(); t2 = t->t2(); t3 = t->t3(); v1 = t->v1(); v2 = t->v2(); v3 = t->v3(); if (!IS_VISITED(v1)) {MARK_VISIT(v1); vlist.appendHead(v1);} if (!IS_VISITED(v2)) {MARK_VISIT(v2); vlist.appendHead(v2);} if (!IS_VISITED(v3)) {MARK_VISIT(v3); vlist.appendHead(v3);} if (!IS_VISITED(t->e1)) {MARK_VISIT(t->e1); elist.appendHead(t->e1);} if (!IS_VISITED(t->e2)) {MARK_VISIT(t->e2); elist.appendHead(t->e2);} if (!IS_VISITED(t->e3)) {MARK_VISIT(t->e3); elist.appendHead(t->e3);} if (t1 != NULL && !IS_BIT(t1,2)) {MARK_BIT(t1,2); todo.appendHead(t1);} if (t2 != NULL && !IS_BIT(t2,2)) {MARK_BIT(t2,2); todo.appendHead(t2);} if (t3 != NULL && !IS_BIT(t3,2)) {MARK_BIT(t3,2); todo.appendHead(t3);} } ve = new List; FOREACHVVVERTEX((&(vlist)), v, n) {UNMARK_VISIT(v); if ((az = v->z) > Mz) {Mz=az; hv = v;}} Mz = COORD_MAX; FOREACHVEEDGE((&(elist)), e, n) {UNMARK_VISIT(e); if (e->hasVertex(hv) && e->length() != 0) ve->appendHead(e);} FOREACHVTTRIANGLE((&(tlist)), t, n) UNMARK_BIT(t, 2); FOREACHVEEDGE(ve, e, n) if ((az = (hv->z - e->oppositeVertex(hv)->z)/e->length()) < Mz) {Mz=az; fe = e;} delete(ve); if (fe == NULL) fe = hv->e0; if (fe->t1 == NULL || fe->t2 == NULL) return NULL; return (fabs(fe->t1->getNormal().z) > fabs(fe->t2->getNormal().z))?(fe->t1):(fe->t2); } /////// Computes boundaries and handles /////////// void Triangulation::eulerUpdate() { Vertex *v,*w; Edge *e; Triangle *t,*s; List triList; Node *n; n_boundaries = n_shells = n_handles = 0; FOREACHTRIANGLE(t, n) if (!IS_BIT(t, 3)) { n_shells++; triList.appendHead(t); MARK_BIT(t,3); while(triList.numels()) { t = (Triangle *)triList.popHead(); if ((s = t->t1()) != NULL && !IS_BIT(s,3)) {triList.appendHead(s); MARK_BIT(s,3);} if ((s = t->t2()) != NULL && !IS_BIT(s,3)) {triList.appendHead(s); MARK_BIT(s,3);} if ((s = t->t3()) != NULL && !IS_BIT(s,3)) {triList.appendHead(s); MARK_BIT(s,3);} } } FOREACHTRIANGLE(t, n) UNMARK_BIT(t, 3); FOREACHEDGE(e, n) if (e->isOnBoundary()) {MARK_BIT(e->v1, 3); MARK_BIT(e->v2, 3);} FOREACHVERTEX(v, n) if (IS_BIT(v,3)) { n_boundaries++; for (w=v; IS_BIT(w, 3); w = w->nextOnBoundary()) UNMARK_BIT(w, 3); } n_handles = (E.numels() - V.numels() - T.numels() + 2*n_shells - n_boundaries)/2; d_boundaries = d_handles = d_shells = 0; } // Makes the mesh equivalent to a topological disk. // Edges and vertices are duplicated when necessary. void Triangulation::openToDisk() { Triangle *t = (Triangle *)T.head()->data; Triangle *s; List triList, *ve; Vertex *v, *w; Edge *e, *ne; Node *n; triList.appendHead(t); MARK_BIT(t,3); while(triList.numels()) { t = (Triangle *)triList.popHead(); if ((s = t->t1()) != NULL && !IS_BIT(s,3)) {triList.appendTail(s); MARK_BIT(s,3); MARK_BIT(t->e1,3);} if ((s = t->t2()) != NULL && !IS_BIT(s,3)) {triList.appendTail(s); MARK_BIT(s,3); MARK_BIT(t->e2,3);} if ((s = t->t3()) != NULL && !IS_BIT(s,3)) {triList.appendTail(s); MARK_BIT(s,3); MARK_BIT(t->e3,3);} } FOREACHTRIANGLE (t, n) UNMARK_BIT(t, 3); FOREACHVERTEX(v, n) v->info = new List; FOREACHEDGE(e, n) if (!IS_BIT(e, 3)) { ((List *)e->v1->info)->appendHead(e); ((List *)e->v2->info)->appendHead(e); } FOREACHVERTEX(v, n) if (((List *)v->info)->numels()==1) triList.appendHead(v); if (!triList.numels()) JMesh::error("Triangulation::openToDisk: Couldn't find a root.\n"); while(triList.numels()) { v = (Vertex *)triList.popHead(); ve = ((List *)v->info); if (ve->numels()) { e = (Edge *)(ve->head()->data); MARK_BIT(e, 3); ve->popHead(); w = e->oppositeVertex(v); ve = ((List *)w->info); ve->removeNode(e); if (ve->numels() == 1) triList.appendHead(w); } else { ve = v->VE(); e = (Edge *)ve->head()->data; UNMARK_BIT(e, 3); ((List *)v->info)->appendHead(e); e = (Edge *)ve->head()->next()->data; UNMARK_BIT(e, 3); ((List *)v->info)->appendHead(e); delete(ve); } } FOREACHEDGE(e, n) if (!IS_BIT(e, 3) && !e->isOnBoundary()) { ne = new Edge(e->v1, e->v2); ne->t1 = e->t1; e->t1 = NULL; E.appendHead(ne); ne->t1->replaceEdge(e, ne); } FOREACHEDGE(e, n) UNMARK_BIT(e, 3); FOREACHVERTEX(v, n) if (v->info) {delete(((List *)v->info)); v->info = NULL;} duplicateNonManifoldVertices(); d_boundaries = d_handles = d_shells = 1; } ////////////////////////////////////////////////////////////////// // // // T R I A N G U L A T I O N M E T H O D S // // // ////////////////////////////////////////////////////////////////// /////// Computes the center of mass of the hole and star-patches //////// int Triangulation::StarTriangulateHole(Edge *e) { if (!e->isOnBoundary()) return 0; List bvs; Node *n; Edge *e1, *e2, *e3; Point np; Vertex *v, *nv, *v1, *v2; int nt=0; v = e->v1; do { bvs.appendHead(v); v = v->nextOnBoundary(); } while (v != e->v1); FOREACHVVVERTEX((&(bvs)), v, n) np = np+(*v); np = np/bvs.numels(); nv = new Vertex(&np); V.appendHead(nv); v1 = ((Vertex *)bvs.head()->data); e1 = CreateEdge(nv, v1); for (n=bvs.head()->next(); n!=NULL; n=n->next()) { v2 = ((Vertex *)n->data); e2 = CreateEdge(nv, v2); e3 = v1->getEdge(v2); CreateTriangle(e1, e2, e3); nt++; v1 = v2; e1 = e2; } v2 = ((Vertex *)bvs.head()->data); e2 = nv->getEdge(v2); e3 = v1->getEdge(v2); CreateTriangle(e1, e2, e3); nt++; return nt; } ///// Patch holes using 2D Delaunay triangulation on the plane 'nor' ///// int Triangulation::TriangulateHole(Edge *e, Point *nor) { if (!e->isOnBoundary()) return 0; List bvs; Node *n, *gn = NULL; Edge *e1, *e2; Vertex *v, *v1, *v2; double ang, gang; int nt = 0; v = e->v1; do { bvs.appendHead(v); v = v->nextOnBoundary(); } while (v != e->v1); while (bvs.numels() > 2) { gang = DBL_MAX; FOREACHVVVERTEX((&(bvs)), v, n) if (!IS_VISITED(v) && v->e0 && (ang = v->getAngleOnAveragePlane(nor)) < gang) {gang = ang; gn = n;} if (gang == DBL_MAX) { JMesh::warning("TriangulateHole: Can't complete the triangulation.\n"); FOREACHVVVERTEX((&(bvs)), v, n) UNMARK_VISIT(v); return 0; } v = ((Vertex *)gn->data); v1 = (Vertex *)((gn->next() != NULL)?(gn->next()):(bvs.head()))->data; v2 = (Vertex *)((gn->prev() != NULL)?(gn->prev()):(bvs.tail()))->data; e1 = v->getEdge(v1); e2 = v->getEdge(v2); if (!EulerEdgeTriangle(e1,e2)) MARK_VISIT(v); else {bvs.removeCell(gn); UNMARK_VISIT(v1); UNMARK_VISIT(v2); nt++;} } int i, skips; do { skips = 0; for (n=E.head(), i=2*nt*nt; inext(), i--) { e = ((Edge *)n->data); ang = e->delaunayMinAngle(); if (e->swap()) {if (e->delaunayMinAngle() <= ang) e->swap(1); else skips++;} } if (i < 0) {JMesh::warning("Optimization is taking too long. I give up.\n"); break;} } while (skips); return nt; } ///// Triangulates a hole using the additional vertices in 'vl' ///// int Triangulation::TriangulateHole(Edge *e, List *vl) { if (!e->isOnBoundary()) return 0; List bvs, ovbs, nedg; Node *n, *gn = NULL; Edge *e1, *e2; Vertex *v, *v1, *v2; double ang, gang; int nt = 0, neb; v = e->v1; do { bvs.appendHead(v); v = v->nextOnBoundary(); } while (v != e->v1); ovbs.appendList(&bvs); while (bvs.numels() > 2) // While there are more than two boundary vertices { gang = DBL_MAX; FOREACHVVVERTEX((&(bvs)), v, n) if (!IS_VISITED(v) && v->e0 && (ang = v->getAngleForTriangulation()) < gang) {gang = ang; gn = n;} if (gang == DBL_MAX) { JMesh::warning("TriangulateHole: Can't complete the triangulation.\n"); FOREACHVVVERTEX((&(bvs)), v, n) UNMARK_VISIT(v); return 0; } v = ((Vertex *)gn->data); v1 = (Vertex *)((gn->next() != NULL)?(gn->next()):(bvs.head()))->data; v2 = (Vertex *)((gn->prev() != NULL)?(gn->prev()):(bvs.tail()))->data; e1 = v->getEdge(v1); e2 = v->getEdge(v2); neb = E.numels(); if (!EulerEdgeTriangle(e1,e2)) MARK_VISIT(v); else { bvs.removeCell(gn); UNMARK_VISIT(v1); UNMARK_VISIT(v2); nt++; if (E.numels() > neb) nedg.appendHead(E.head()->data); } } // if (nt < 2) return nt; // Calcolo una normale per il buco come media dei nuovi triangoli int i; Point nor; for (i=0, n=T.head(); inext()) nor = nor+((Triangle *)n->data)->getNormal(); if (nor.isNull()) { JMesh::warning("TriangulateHole: Unable to compute an average normal. Can't optimize.\n"); return nt; } nor.normalize(); // Memorizzo da qualche parte la posizione originale dei vertici // e Proietto il boundary sul piano con normale quella appena calcolata coord *ovps = (coord *)malloc((ovbs.numels())*3*sizeof(coord)); int j = 0; FOREACHVVVERTEX((&(ovbs)), v, n) { ovps[j++] = v->x; ovps[j++] = v->y; ovps[j++] = v->z; v->project(&nor); } // Proietto i punti interni sul piano d'appoggio Point *p; coord *ovpsi = (coord *)malloc((vl->numels())*3*sizeof(coord)); j = 0; FOREACHNODE((*vl), n) { p = ((Point *)n->data); ovpsi[j++] = p->x; ovpsi[j++] = p->y; ovpsi[j++] = p->z; } FOREACHNODE((*vl), n) { p = ((Point *)n->data); p->project(&nor); } // Ottimizzo secondo Delaunay vincolato al boundary la nuova regione int sw; do { sw = 0; FOREACHVEEDGE((&(nedg)), e1, n) { ang = e1->delaunayMinAngle(); if (e1->swap()) {if (e1->delaunayMinAngle() <= ang) e1->swap(1); else sw++;} } } while (sw); // Inserisco i punti interni int ntt = T.numels()-nt; List ivs; FOREACHNODE((*vl), n) { p = ((Point *)n->data); ivs.appendTail(watsonInsert(p, &T, T.numels()-ntt)); } nt = (T.numels() - ntt); // Riporto i vertici interni al loro posto j=0; FOREACHVVVERTEX((&(ivs)), v, n) { if (v != NULL) { v->x = ovpsi[j++]; v->y = ovpsi[j++]; v->z = ovpsi[j++]; } else j+=3; } free(ovpsi); // Riporto i vertici del boundary al loro posto j=0; FOREACHVVVERTEX((&(ovbs)), v, n) { v->x = ovps[j++]; v->y = ovps[j++]; v->z = ovps[j++]; } free(ovps); return nt; } ////// Inserts the point 'p' in the Delaunay triangulation 'tR' with 'nt' triangles //// Vertex *Triangulation::watsonInsert(Point *p, List *tR, int nt) { Node *n, *m; Edge *e; Triangle *t; List bdr, bdrs, todo, *ve; Vertex *v1, *v2, *v3; int i; for (i=0, n = T.head(); inext(), i++) { t = ((Triangle *)n->data); if (t->e1 != NULL && t->inSphere(p)) { v1 = t->v1(); v2 = t->v2(); v3 = t->v3(); if (!IS_VISITED(v1)) bdr.appendHead(v1); if (!IS_VISITED(v2)) bdr.appendHead(v2); if (!IS_VISITED(v3)) bdr.appendHead(v3); MARK_VISIT(v1); MARK_VISIT(v2); MARK_VISIT(v3); MARK_BIT(t, 3); todo.appendHead(t); } } if (bdr.numels() == 0) return NULL; FOREACHVVVERTEX((&(bdr)), v1, n) { ve = v1->VE(); FOREACHVEEDGE(ve, e, m) if (!IS_BIT(e->t1, 3) || !IS_BIT(e->t2, 3)) v1->e0 = e; delete(ve); } while (todo.numels()) { t = ((Triangle *)todo.head()->data); todo.removeCell(todo.head()); unlinkTriangleNoManifold(t); } Node *tmp; for (i=0, n = T.head(); idata); if (t->e1 == NULL) {tmp = n; n=n->next(); T.freeCell(tmp);} else n=n->next(); } for (n = bdr.head(); n!=NULL;) { v1 = ((Vertex *)n->data); if (v1->e0 == NULL) {tmp = n; n=n->next(); bdr.removeCell(tmp);} else n=n->next(); } v1 = v2 = ((Vertex *)bdr.head()->data); do { bdrs.appendHead(v1); v1 = v1->nextOnBoundary(); } while (v1 != v2); Vertex *v = new Vertex(p->x, p->y, p->z); V.appendHead(v); v1 = ((Vertex *)bdrs.head()->data); v->e0 = e = new Edge(v, v1); UNMARK_VISIT(v1); E.appendHead(e); for (n = bdrs.head()->next(); n!=NULL; n=n->next()) { v1 = ((Vertex *)n->data); UNMARK_VISIT(v1); v2 = ((Vertex *)n->prev()->data); e = new Edge(v, v1); CreateTriangle(e, v1->getEdge(v2), (Edge *)E.head()->data); E.appendHead(e); } EulerEdgeTriangle(v->e0, (Edge *)E.head()->data); return v; } //// Removes a vertex and retriangulates its VT //// int Triangulation::retriangulateVT(Vertex *v) { Point nor; Edge *e, *e0 = v->e0->t1->oppositeEdge(v); List *vt = v->VT(); List oe; Triangle *t; Node *m, *n; int i, nt; FOREACHVTTRIANGLE(vt, t, m) { e = t->oppositeEdge(v); oe.appendTail(t->prevEdge(e)); oe.appendTail(e); oe.appendTail(t->nextEdge(e)); nor = nor+t->getNormal(); unlinkTriangle(t); } nor.normalize(); nt = TriangulateHole(e0, &nor); for (m=T.head(), i=0; inext()) { t = ((Triangle *)m->data); if (t->overlaps() || t->isDegenerate()) break; } if (inext()) unlinkTriangle(((Triangle *)m->data)); n = oe.head(); FOREACHVTTRIANGLE(vt, t, m) { t->e1 = ((Edge *)n->data); n=n->next(); t->e2 = ((Edge *)n->data); n=n->next(); t->e3 = ((Edge *)n->data); n=n->next(); t->e1->v1 = v; t->e1->v2 = (t->e2->t1 == NULL)?(t->e2->v1):(t->e2->v2); t->e3->v1 = v; t->e3->v2 = (t->e2->t1 == NULL)?(t->e2->v2):(t->e2->v1); ((t->e2->t1 == NULL)?(t->e2->t1):(t->e2->t2)) = t; t->e1->t1 = t; t->e3->t2 = t; } v->e0 = ((Triangle *)vt->head()->data)->e1; } delete(vt); return 1; } //// Splits the edge 'e' by the point 'p'. //// Vertex *Triangulation::splitEdge(Edge *e, Point *p, bool copy_mask) { if ((*p)==(*(e->v1))) return e->v1; if ((*p)==(*(e->v2))) return e->v2; Vertex *v3 = (e->t1 != NULL)?(e->t1->oppositeVertex(e)):(NULL); Vertex *v4 = (e->t2 != NULL)?(e->t2->oppositeVertex(e)):(NULL); Edge *be1 = (e->t1 != NULL)?(e->t1->nextEdge(e)):(NULL); Edge *be4 = (e->t2 != NULL)?(e->t2->prevEdge(e)):(NULL); Vertex *v = new Vertex(p->x, p->y, p->z); Edge *ne = new Edge(v, e->v2); Edge *ne1 = (e->t1 != NULL)?(new Edge(v, v3)):(NULL); Edge *ne2 = (e->t2 != NULL)?(new Edge(v, v4)):(NULL); Triangle *nt1 = (e->t1 != NULL)?(new Triangle(ne1, ne,be1)):(NULL); Triangle *nt2 = (e->t2 != NULL)?(new Triangle(ne, ne2,be4)):(NULL); ne->t1 = nt1; ne->t2 = nt2; if (ne1 != NULL) {ne1->t1 = e->t1; ne1->t2 = nt1;} if (ne2 != NULL) {ne2->t1 = nt2; ne2->t2 = e->t2;} if (be1 != NULL) be1->replaceTriangle(e->t1, nt1); if (be4 != NULL) be4->replaceTriangle(e->t2, nt2); e->v2->e0 = (be1 != NULL)?(be1):(be4); e->v2 = v; v->e0 = e; if (e->t1 != NULL) e->t1->replaceEdge(be1, ne1); if (e->t2 != NULL) e->t2->replaceEdge(be4, ne2); if (copy_mask) { ne->mask = e->mask; if (nt1 != NULL) nt1->mask = e->t1->mask; if (nt2 != NULL) nt2->mask = e->t2->mask; } V.appendHead(v); E.appendHead(ne); if (ne1 != NULL) E.appendHead(ne1); if (ne2 != NULL) E.appendHead(ne2); if (nt1 != NULL) T.appendHead(nt1); if (nt2 != NULL) T.appendHead(nt2); return v; } //// Splits the trianlge 't' by the point 'p'. If 'corr' is TRUE //// //// the method does not perform the split if this causes the //// //// creation of a triangle with a vertex angle < MIN_ANG_TRI. //// Vertex *Triangulation::splitTriangle(Triangle *t, Point *p, bool only_proper) { Vertex *v1 = t->v1(); Vertex *v2 = t->v2(); Vertex *v3 = t->v3(); if ((*p) == (*v1)) return (only_proper)?(NULL):v1; if ((*p) == (*v2)) return (only_proper)?(NULL):v2; if ((*p) == (*v3)) return (only_proper)?(NULL):v3; if (!only_proper) { if (p->getAngle(v1,v2) == M_PI) return splitEdge(t->e2, p); if (p->getAngle(v2,v3) == M_PI) return splitEdge(t->e3, p); if (p->getAngle(v3,v1) == M_PI) return splitEdge(t->e1, p); } Vertex *v = new Vertex(p->x, p->y, p->z); Edge *ne1 = new Edge(v, v1); Edge *ne2 = new Edge(v, v2); Edge *ne3 = new Edge(v, v3); Triangle *nt1 = new Triangle(ne2, t->e3,ne3); Triangle *nt2 = new Triangle(ne3, t->e1,ne1); t->e3->replaceTriangle(t, nt1); t->e1->replaceTriangle(t, nt2); t->replaceEdge(t->e3, ne2); t->replaceEdge(t->e1, ne1); ne1->t1 = t; ne1->t2 = nt2; ne2->t1 = nt1; ne2->t2 = t; ne3->t1 = nt2; ne3->t2 = nt1; v->e0 = ne1; V.appendHead(v); E.appendHead(ne1); E.appendHead(ne2); E.appendHead(ne3); T.appendHead(nt1); T.appendHead(nt2); return v; } ////////////////////////////////////////////////////////////////// // // // D E B U G AND WORK-IN-PROGRESS // // // ////////////////////////////////////////////////////////////////// /////// Prints general information /////////// void Triangulation::printReport() { eulerUpdate(); JMesh::info("*** Triangulation Report ***\n"); JMesh::info("V: %d\n",V.numels()); JMesh::info("E: %d\n",E.numels()); JMesh::info("T: %d\n",T.numels()); JMesh::info("Boundary: %d components.\n",boundaries()); JMesh::info("Handles: %d.\n",handles()); JMesh::info("Shells: %d.\n",shells()); } octave-iso2mesh-1.9.6+ds/meshfix/contrib/JMeshLib/src/MESH_STRUCTURE/point.cpp0000644001356000007640000002645613673436411025542 0ustar fangqadmin/**************************************************************************** * JMeshLib * * * * Consiglio Nazionale delle Ricerche * * Istituto di Matematica Applicata e Tecnologie Informatiche * * Sezione di Genova * * IMATI-GE / CNR * * * * Authors: Marco Attene * * * * Copyright(C) 2006: IMATI-GE / CNR * * * * All rights reserved. * * * * This program is free software; you can redistribute it and/or modify * * it under the terms of the GNU General Public License as published by * * the Free Software Foundation; either version 2 of the License, or * * (at your option) any later version. * * * * This program is distributed in the hope that it will be useful, * * but WITHOUT ANY WARRANTY; without even the implied warranty of * * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * * GNU General Public License (http://www.gnu.org/licenses/gpl.txt) * * for more details. * * * ****************************************************************************/ #include "point.h" #include #include #include const Point INFINITE_POINT(DBL_MAX, DBL_MAX, DBL_MAX); //////// Lexicographic Point comparison for qsort ////////// int xyzCompare(const void *a, const void *b) { coord c; if ((c=(((Point *)a)->x - ((Point *)b)->x)) < 0) return -1; if (c > 0) return 1; if ((c=(((Point *)a)->y - ((Point *)b)->y)) < 0) return -1; if (c > 0) return 1; if ((c=(((Point *)a)->z - ((Point *)b)->z)) < 0) return -1; if (c > 0) return 1; return 0; } //////////////// Normalization ///////////////////////// void Point::normalize() { double l = length(); if (l == 0) JMesh::error("normalize : Trying to normalize a null vector !\n"); x/=l; y/=l; z/=l; } //////////////////// Point rotation //////////////////// /////////// 'ang' radians CCW around 'axis' //////////// void Point::rotate(const Point& a, const double& ang) { double l, q[4], m[3][3]; if ((l = a.length())==0.0) return; l = sin(ang/2.0)/l; q[0] = a.x*l; q[1] = a.y*l; q[2] = a.z*l; q[3] = cos(ang/2.0); m[0][0] = 1 - 2.0*(q[1]*q[1] + q[2]*q[2]); m[0][1] = 2.0*(q[0]*q[1] + q[2]*q[3]); m[0][2] = 2.0*(q[2]*q[0] - q[1]*q[3]); m[1][0] = 2.0*(q[0]*q[1] - q[2]*q[3]); m[1][1] = 1 - 2.0*(q[2]*q[2] + q[0]*q[0]); m[1][2] = 2.0*(q[1]*q[2] + q[0]*q[3]); m[2][0] = 2.0*(q[2]*q[0] + q[1]*q[3]); m[2][1] = 2.0*(q[1]*q[2] - q[0]*q[3]); m[2][2] = 1 - 2.0*(q[1]*q[1] + q[0]*q[0]); q[0] = x; q[1] = y; q[2] = z; x = m[0][0]*q[0] + m[1][0]*q[1] + m[2][0]*q[2]; y = m[0][1]*q[0] + m[1][1]*q[1] + m[2][1]*q[2]; z = m[0][2]*q[0] + m[1][2]*q[1] + m[2][2]*q[2]; } ///// Project the point on the plane whose normal is 'nor' ///// void Point::project(const Point *nor) { Point pr = (*this)-((*nor)*((*this)*(*nor))); x = pr.x; y = pr.y; z = pr.z; } ////////////// Alignment check ///////////// bool Point::notAligned(const Point *A, const Point *B) const { Point p1 = ((*this)-(*A)), p2 = ((*this)-(*B)); if (p1.length()*p2.length() == 0.0) return 0; double a = p1.getAngle(p2); return (a != 0.0 && a != M_PI); } /////////// Distance from the line passing through A and B //////// double Point::distanceFromLine(const Point *A, const Point *B) const { Point BA = (*B)-(*A); double lba = BA.length(); if (lba == 0.0) JMesh::error("distanceFromLine : Degenerate line passed !\n"); return ((((*this)-(*A))&BA).length())/(lba); } /////////////////// Distance from a line /////////////////////// //// 'cc' is initialized as the point of the line whose //// //// distance from 'this' is minimum. //// double Point::distanceFromLine(const Point *A, const Point *B, Point *cc) const { Point AB = (*A)-(*B); Point AP = (*A)-(*this); Point BP = (*B)-(*this); if (AP.isNull()) { cc->x = A->x; cc->y = A->y; cc->z = A->z; return 0.0; } else if (BP.isNull()) { cc->x = B->x; cc->y = B->y; cc->z = B->z; return 0.0; } double t = (AB*AB); if (t == 0.0) JMesh::error("distanceFromLine : Degenerate line passed !\n"); else t = (AP*AB)/(-t); cc->x = t*AB.x + A->x; cc->y = t*AB.y + A->y; cc->z = t*AB.z + A->z; return distanceFromLine(A,B); } ////////////// Projection on the line passing through A and B /////////// Point Point::projection(const Point *A, const Point *B) const { Point BA = (*B)-(*A); double l = BA*BA; if (l == 0.0) JMesh::error("projection : Degenerate line passed !\n"); return ((*A)+(BA*((BA*((*this)-(*A)))/(l)))); } ////////////// Distance from a segment ///////////////// double Point::distanceFromEdge(const Point *A, const Point *B) const { Point AP = (*A)-(*this); double apl = AP.length(); Point BP = (*B)-(*this); double bpl = BP.length(); if (apl == 0 || bpl == 0.0) return 0.0; Point AB = (*A)-(*B); double abl = AP.length(); Point BA = (*B)-(*A); if (abl*apl == 0.0 || abl*bpl == 0.0) return apl; if (AB.getAngle(AP) > PI2) return apl; else if (BA.getAngle(BP) > PI2) return bpl; return distanceFromLine(A,B); } /////////////////// Distance from a segment /////////////////////// //// 'cc' is initialized as the point of the segment whose //// //// distance from 'this' is minimum. //// double Point::distanceFromEdge(const Point *A, const Point *B, Point *cc) const { Point AP = (*A)-(*this); double apl = AP.length(); Point BP = (*B)-(*this); double bpl = BP.length(); if (apl == 0) {cc->setValue(A); return 0.0;} if (bpl == 0) {cc->setValue(B); return 0.0;} Point AB = (*A)-(*B); double abl = AP.length(); Point BA = (*B)-(*A); if (abl*apl == 0.0 || abl*bpl == 0.0) {cc->setValue(A); return apl;} if (AB.getAngle(AP) > PI2) {cc->setValue(A); return apl;} else if (BA.getAngle(BP) > PI2) {cc->setValue(B); return bpl;} double t = (AB*AB); if (t == 0.0) {cc->setValue(A); return apl;} else t = (AP*AB)/(-t); cc->x = t*AB.x + A->x; cc->y = t*AB.y + A->y; cc->z = t*AB.z + A->z; return distanceFromLine(A,B); } ///////////////// Angle between two vectors /////////////// double Point::getAngle(const Point& p) const { double ac, l = (length()*(p.length())); if (l == 0.0) {JMesh::warning("getAngle : One or both vectors are null !\n"); return -1.0;} ac = ((*this)*p)/l; if ((FABS((ac - 1.0))) < JMesh::acos_tolerance) ac = 0.0; else if ((FABS((1.0 + ac))) < JMesh::acos_tolerance) ac = M_PI; else ac = acos(ac); if (errno == EDOM) { JMesh::warning("Point::getAngle(): Warning. acos domain overflow !\n"); errno = 0; return -1.0; } return ac; } //// Side: returns 1 if right, -1 if left, 0 aligned //// //// respect to the plane whose directional vector is "this" //// //// In other words: 1 if (p2-p1) cross (p3-p1) dot this > 0.//// int Point::side3D(const Point *p1, const Point *p2, const Point *p3) const { Point A = ((*p1)-(*p2)), B = ((*p2)-(*p3)); double l1 = A.length(), l2 = B.length(); if (l1*l2 == 0.0) return 0; double ang = A.getAngle(B); if (ang == 0.0 || ang == M_PI) return 0; double db = ((A&B)*(*this)); return (db > 0)?(1):(-1); } /////////// Distance of two straight lines /////////////// double Point::distanceLineLine(const Point *A, const Point *A1, const Point *B1) const { Point uu1 = ((*this)-(*A))&((*A1)-(*B1)); double nom = ((*A)-(*A1))*(uu1); return FABS(nom)/(uu1.length()); } /////////// Solution of a linear system 3 x 3 ////////// ///// System Ax = d, where A = (a,b,c) rows, d = this ///// Point Point::linearSystem(const Point& a, const Point& b, const Point& c) { Point ret; double det_A = a*(b&c); if (det_A == 0.0) return INFINITE_POINT; ret.x = (Point(x,a.y,a.z))*((Point(y,b.y,b.z))&(Point(z,c.y,c.z))); ret.y = (Point(a.x,x,a.z))*((Point(b.x,y,b.z))&(Point(c.x,z,c.z))); ret.z = (Point(a.x,a.y,x))*((Point(b.x,b.y,y))&(Point(c.x,c.y,z))); return (ret/det_A); } /// Initializes the point with the intersection between the edge AB and /// the plane ax+by+cz+d=0. If there is no intersection returns 0. If the edge /// lies entirely on the plane returns 2. int Point::intersectionWithPlane(const Point *A, const Point *B, const double& a, const double& b, const double& c, const double& d) { Point abc = Point(a,b,c); double pa = (abc*(*A))+d; double pb = (abc*(*B))+d; if (pa == 0) {x = A->x; y = A->y; z = A->z; return (pb==0)?(2):(1);} if (pb == 0) {x = B->x; y = B->y; z = B->z; return 1;} if (pa*pb > 0) return 0; pa = FABS(pa); pb = FABS(pb); Point o = ((*B)*pa + (*A)*pb)/(pa+pb); x = o.x; y = o.y; z = o.z; return 1; } //// As the previous one, the plane is (direction, starting point) //// int Point::intersectionWithPlane(const Point *A, const Point *B, const Point *nor, const Point *s) { return intersectionWithPlane(A, B, nor->x, nor->y, nor->z, -((*nor)*(*s))); } //// Computes the closest points of the two lines 'this'-v1 and p1-p2 //// //// Returns FALSE if the lines are parallel. //// int Point::closestPoints(const Point *v1, const Point *p1, const Point *p2, Point *ptOnThis, Point *ptOnLine2) const { Point pos1 = *this; Point dir1 = (*v1)-pos1; Point pos2 = *p1; Point dir2 = (*p2)-pos2; double d1l = dir1.length(), d2l = dir2.length(); if (d1l == 0.0 && d2l == 0.0) {ptOnThis->setValue(this); ptOnLine2->setValue(p1); return 1;} if (d1l*d2l == 0.0) { if (d1l <= d2l) {ptOnThis->setValue(this); distanceFromLine(p1, p2, ptOnLine2); return 1;} if (d2l <= d1l) {ptOnLine2->setValue(p1); p1->distanceFromLine(this, v1, ptOnThis); return 1;} } double ang = dir1.getAngle(dir2); if (ang == 0.0 || ang == M_PI) return 0; double s, t, A, B, C, D, E, F, denom; denom = ((dir1*dir2)/(d1l*d2l)); denom = denom*denom - 1; dir1.normalize(); dir2.normalize(); A = E = dir1*dir2; B = dir1*dir1; C = (dir1*pos1) - (dir1*pos2); D = dir2*dir2; F = (dir2*pos1) - (dir2*pos2); s = ( C * D - A * F ) / denom; t = ( C * E - B * F ) / denom; *ptOnThis = pos1 + (dir1*s); *ptOnLine2 = pos2 + (dir2*t); // Uncomment the following to compute the distance between segments // if (s < 0 || s > ((*v1)-(*this)).length() || t < 0 || t > ((*p2)-(*p1)).length()) // return 0; // The points does not belong to the edges return 1; } octave-iso2mesh-1.9.6+ds/meshfix/contrib/JMeshLib/src/MESH_STRUCTURE/edge.cpp0000644001356000007640000002231613673436411025304 0ustar fangqadmin/**************************************************************************** * JMeshLib * * * * Consiglio Nazionale delle Ricerche * * Istituto di Matematica Applicata e Tecnologie Informatiche * * Sezione di Genova * * IMATI-GE / CNR * * * * Authors: Marco Attene * * * * Copyright(C) 2006: IMATI-GE / CNR * * * * All rights reserved. * * * * This program is free software; you can redistribute it and/or modify * * it under the terms of the GNU General Public License as published by * * the Free Software Foundation; either version 2 of the License, or * * (at your option) any later version. * * * * This program is distributed in the hope that it will be useful, * * but WITHOUT ANY WARRANTY; without even the implied warranty of * * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * * GNU General Public License (http://www.gnu.org/licenses/gpl.txt) * * for more details. * * * ****************************************************************************/ #include "edge.h" #include "triangle.h" //////// Length-based edge comparison for qsort ////////// int edgeCompare(const void *a, const void *b) { double la = ((Edge *)a)->squaredLength(); double lb = ((Edge *)b)->squaredLength(); if (lalb) return 1; return 0; } //////// Lexycographic edge comparison for qsort ////////// int lexEdgeCompare(const void *a, const void *b) { Vertex *va1 = ((Edge *)a)->v1; Vertex *va2 = ((Edge *)a)->v2; Vertex *vb1 = ((Edge *)b)->v1; Vertex *vb2 = ((Edge *)b)->v2; if (xyzCompare(va1, va2) > 0) p_swap((void **)&va1, (void **)&va2); if (xyzCompare(vb1, vb2) > 0) p_swap((void **)&vb1, (void **)&vb2); int ca = xyzCompare(va1, vb1); if (ca == 0) return xyzCompare(va2, vb2); return ca; } //////////////////////// Constructor /////////////////////// Edge::Edge(Vertex *va, Vertex *vb) { v1 = va; v2 = vb; t1 = t2 = NULL; info = NULL; mask = 0; } ////////////////// Destructor ///////////////////////////// Edge::~Edge() { } ////// Returns the unit vector for the edge direction ////// Point Edge::toUnitVector() const { Point v = toVector(); double l = v.length(); if (l == 0) JMesh::error("Edge::toUnitVector : Degenerate Edge !\n"); return v/l; } /// Returns the edge normal. //// /// It is the average of the incident triangle normals //// Point Edge::getNormal() const { Point nor, n1, n2; if (t1 == NULL || t2 == NULL) return Point(0,0,0); n1 = t1->getNormal(); n2 = t2->getNormal(); nor = n1+n2; if (nor.length() != 0.0) nor.normalize(); return nor; } ////////////////////////// Edge swap //////////////////////// bool Edge::swap(const bool fast) { if (!fast && (t1 == NULL || t2 == NULL || t2->oppositeVertex(this)->getEdge(t1->oppositeVertex(this)) != NULL)) return 0; Edge *e1 = t1->nextEdge(this); Edge *e3 = t2->nextEdge(this); v1->e0 = e3; v2->e0 = e1; v1 = t2->oppositeVertex(this); v2 = t1->oppositeVertex(this); t1->replaceEdge(e1, e3); t2->replaceEdge(e3, e1); t1->invert(); t2->invert(); e1->replaceTriangle(t1, t2); e3->replaceTriangle(t2, t1); return 1; } ////////////////////////// Edge collapse //////////////////////// bool Edge::collapse(const Point& p) { Edge *e; Node *n; List *ve; Vertex *tv; Edge *e1 = (t1 != NULL)?(t1->nextEdge(this)):(NULL); Edge *e2 = (t1 != NULL)?(t1->prevEdge(this)):(NULL); Edge *e3 = (t2 != NULL)?(t2->nextEdge(this)):(NULL); Edge *e4 = (t2 != NULL)?(t2->prevEdge(this)):(NULL); Vertex *v3 = (e1 != NULL)?(e1->oppositeVertex(v2)):(NULL); Vertex *v4 = (e4 != NULL)?(e4->oppositeVertex(v2)):(NULL); Triangle *ta1 = (e1 != NULL)?(e1->oppositeTriangle(t1)):(NULL); Triangle *ta2 = (e2 != NULL)?(e2->oppositeTriangle(t1)):(NULL); Triangle *ta3 = (e3 != NULL)?(e3->oppositeTriangle(t2)):(NULL); Triangle *ta4 = (e4 != NULL)?(e4->oppositeTriangle(t2)):(NULL); if (v1->isOnBoundary() && v2->isOnBoundary()) if (!(((ta1 || ta2) && !ta3 && !ta4) || ((ta3 || ta4) && !ta1 && !ta2))) return 0; if (ta1 != NULL && ta2 != NULL && ta1->oppositeVertex(e1) == ta2->oppositeVertex(e2)) return 0; if (ta3 != NULL && ta4 != NULL && ta3->oppositeVertex(e3) == ta4->oppositeVertex(e4)) return 0; if (ta1 == NULL && ta2 == NULL) v1->e0 = e3; else v1->e0 = e2; if (v3 != NULL) v3->e0 = e2; if (v4 != NULL) v4->e0 = e3; ve = v2->VE(); FOREACHVEEDGE(ve, e, n) { tv = e->oppositeVertex(v2); if (tv != v3 && tv != v4 && tv->getEdge(v1) != NULL) {delete(ve); return 0;} } FOREACHVEEDGE(ve, e, n) if (e != this) e->replaceVertex(v2, v1); delete(ve); if (e2 != NULL) e2->replaceTriangle(t1, ta1); if (e3 != NULL) e3->replaceTriangle(t2, ta4); if (ta1 != NULL) ta1->replaceEdge(e1, e2); if (ta4 != NULL) ta4->replaceEdge(e4, e3); v2->e0 = NULL; // v2 must be removed if (e4 != NULL) e4->v1 = e4->v2 = NULL; // e4 must be removed if (e1 != NULL) e1->v1 = e1->v2 = NULL; // e1 must be removed if (t1 != NULL) t1->e1 = t1->e2 = t1->e3 = NULL; // t1 must be removed if (t2 != NULL) t2->e1 = t2->e2 = t2->e3 = NULL; // t2 must be removed if (e2 != NULL && e2->t1 == NULL && e2->t2 == NULL) { v3->e0 = NULL; e2->v1 = e2->v2 = NULL; } if (e3 != NULL && e3->t1 == NULL && e3->t2 == NULL) { v4->e0 = NULL; e3->v1 = e3->v2 = NULL; } v1->setValue(&p); // Average the collapse v2 = v1 = NULL; // this edge must be removed return 1; } bool Edge::collapse() { return collapse(((*v1)+(*v2))/2); } ///// Merge with another boundary edge ///// bool Edge::merge(Edge *e) { if (t1 && t2) return 0; if (e->t1 && e->t2) return 0; Triangle *ot = (e->t1==NULL)?(e->t2):(e->t1); if ((t1 && e->t1) || (t2 && e->t2)) e->invert(); Vertex *ov1 = e->v1, *ov2 = e->v2; List *ve1=NULL, *ve2=NULL; Node *n; Edge *f, *f2; if (ov1 != v1) { ve1 = ov1->VE(); FOREACHVEEDGE(ve1, f, n) { f2 = f->oppositeVertex(ov1)->getEdge(v1); if (f2 != NULL && (!f2->isOnBoundary() || !f->isOnBoundary())) {delete(ve1); return 0;} } } if (ov2 != v2) { ve2 = ov2->VE(); FOREACHVEEDGE(ve2, f, n) { f2 = f->oppositeVertex(ov2)->getEdge(v2); if (f2 != NULL && (!f2->isOnBoundary() || !f->isOnBoundary())) {delete(ve1); delete(ve2); return 0;} } } if (ov1 != v1) { FOREACHVEEDGE(ve1, f, n) f->replaceVertex(ov1, v1); delete(ve1); ov1->e0 = NULL; } if (ov2 != v2) { FOREACHVEEDGE(ve2, f, n) f->replaceVertex(ov2, v2); delete(ve2); ov2->e0 = NULL; } ot->replaceEdge(e, this); ((t1==NULL)?(t1):(t2)) = ot; v1->e0 = v2->e0 = this; e->v1 = e->v2 = NULL; return 1; } ///// Angle between the normal of incident triangles ///// double Edge::curvature() const { if (!t1 || !t2) return -1.0; return t1->getDAngle(t2); } //// Dihedral angle double Edge::dihedralAngle() const { if (!t1 || !t2) return -1.0; Point nor1 = t1->getNormal(); Point nor2 = t2->getNormal(); if (nor1.isNull() || nor2.isNull()) return -1.0; double c = nor1.getAngle(&nor2); Vertex *ov = t2->oppositeVertex(this); if (((*ov)*nor1)-((*v1)*nor1) < 0) return M_PI-c; return M_PI+c; } //// Min Angle among those of the two incident triangles //// double Edge::delaunayMinAngle() const { if (t1==NULL || t2==NULL) return 2*M_PI; if (length()==0) return 0; if (t1->nextEdge(this)->length()==0) return 0; if (t1->prevEdge(this)->length()==0) return 0; double a1 = t1->getAngle(v1); double a2 = t1->getAngle(v2); double a3 = t1->getAngle(t1->oppositeVertex(this)); if (t2->nextEdge(this)->length()==0) return 0; if (t2->prevEdge(this)->length()==0) return 0; double a4 = t2->getAngle(v1); double a5 = t2->getAngle(v2); double a6 = t2->getAngle(t2->oppositeVertex(this)); if (a1+a4 >= M_PI || a2+a5 >= M_PI) return 3*M_PI; return MIN(a1,(MIN(a2,(MIN(a3,(MIN(a4,(MIN(a5,a6))))))))); } // If edge is stitchable, merge it with its copy bool Edge::stitch() { if (!isOnBoundary()) return 0; Triangle *t, *t0 = (t1!=NULL)?(t1):(t2); Vertex *v0; Edge *e1; for (v0=v1; v0!=NULL; v0=((v0==v1)?(v2):(NULL))) { e1=this; t = t0; while (t!=NULL) { e1 = t->nextEdge(e1); if (!e1->hasVertex(v0)) e1 = t->nextEdge(e1); t = e1->oppositeTriangle(t); } if (e1->oppositeVertex(v0) == oppositeVertex(v0)) { t = (e1->t1!=NULL)?(e1->t1):(e1->t2); t->replaceEdge(e1, this); v1->e0 = v2->e0 = this; e1->v1=e1->v2=NULL; replaceTriangle(NULL, t); return 1; } } return 0; } octave-iso2mesh-1.9.6+ds/meshfix/contrib/JMeshLib/src/MESH_STRUCTURE/io.cpp0000644001356000007640000015345413673436411025017 0ustar fangqadmin/**************************************************************************** * JMeshLib * * * * Consiglio Nazionale delle Ricerche * * Istituto di Matematica Applicata e Tecnologie Informatiche * * Sezione di Genova * * IMATI-GE / CNR * * * * Authors: Marco Attene * * * * Copyright(C) 2006: IMATI-GE / CNR * * * * All rights reserved. * * * * This program is free software; you can redistribute it and/or modify * * it under the terms of the GNU General Public License as published by * * the Free Software Foundation; either version 2 of the License, or * * (at your option) any later version. * * * * This program is distributed in the hope that it will be useful, * * but WITHOUT ANY WARRANTY; without even the implied warranty of * * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * * GNU General Public License (http://www.gnu.org/licenses/gpl.txt) * * for more details. * * * ****************************************************************************/ #include "jmesh.h" #include #include #include #define VRML1_HEADER "#VRML V1.0 ascii" #define VRML1_HSIZE 16 #define VRML2_HEADER "#VRML V2.0 utf8" #define VRML2_HSIZE 15 #define OFF_HEADER "OFF" #define OFF_HSIZE 3 #define PLY_HEADER "ply" #define PLY_HSIZE 3 #define IV_HEADER "#Inventor V2.1 ascii" #define IV_HSIZE 20 #define PLY_FORMAT_ASCII 0 #define PLY_FORMAT_BIN_L 1 #define PLY_FORMAT_BIN_B 2 #define TVI1(a) ((int)(((Triangle *)a->data)->v1()->x)) #define TVI2(a) ((int)(((Triangle *)a->data)->v2()->x)) #define TVI3(a) ((int)(((Triangle *)a->data)->v3()->x)) inline void PRINT_HEADING_COMMENT(FILE *f) { if (JMesh::app_name != NULL) { fprintf(f, "# File created by %s",JMesh::app_name); if (JMesh::app_version != NULL) { fprintf(f, " v%s",JMesh::app_version); if (JMesh::app_year != NULL) fprintf(f, " (%s)",JMesh::app_year); } fprintf(f, "\n"); if (JMesh::app_url != NULL) fprintf(f, "# %s\n",JMesh::app_url); } fprintf(f, "\n"); } inline void PRINT_PLY_COMMENT(FILE *f) { if (JMesh::app_name != NULL) { fprintf(f, "comment File created by %s",JMesh::app_name); if (JMesh::app_version != NULL) { fprintf(f, " v%s",JMesh::app_version); if (JMesh::app_year != NULL) fprintf(f, " (%s)",JMesh::app_year); } fprintf(f, "\n"); if (JMesh::app_url != NULL) fprintf(f, "comment %s\n",JMesh::app_url); } } /// Returns TRUE if the two strings are equal in a case-insensitive sense ///// inline bool sameString(const char *a, const char *b) { int i=0; while (a[i] != '\0' && b[i] != '\0') if (tolower(a[i]) != tolower(b[i++])) return false; return (a[i] == '\0' && b[i] == '\0'); } // Swap endian-ness for four-byte elements inline void endian_swap_long(unsigned char *p) { unsigned char b0,b1,b2,b3; b0 = *p; b1 = *(p+1); b2 = *(p+2); b3 = *(p+3); *p = b3; *(p+1) = b2; *(p+2) = b1; *(p+3) = b0; } // Swap endian-ness (general function) inline void *SwapEndian(void* Addr, const int Nb) { static char Swapped[16]; switch (Nb) { case 2: Swapped[0]=*((char*)Addr+1); Swapped[1]=*((char*)Addr ); break; case 3: // As far as I know, 3 is used only with RGB images Swapped[0]=*((char*)Addr+2); Swapped[1]=*((char*)Addr+1); Swapped[2]=*((char*)Addr ); break; case 4: Swapped[0]=*((char*)Addr+3); Swapped[1]=*((char*)Addr+2); Swapped[2]=*((char*)Addr+1); Swapped[3]=*((char*)Addr ); break; case 8: Swapped[0]=*((char*)Addr+7); Swapped[1]=*((char*)Addr+6); Swapped[2]=*((char*)Addr+5); Swapped[3]=*((char*)Addr+4); Swapped[4]=*((char*)Addr+3); Swapped[5]=*((char*)Addr+2); Swapped[6]=*((char*)Addr+1); Swapped[7]=*((char*)Addr ); break; case 16:Swapped[0]=*((char*)Addr+15); Swapped[1]=*((char*)Addr+14); Swapped[2]=*((char*)Addr+13); Swapped[3]=*((char*)Addr+12); Swapped[4]=*((char*)Addr+11); Swapped[5]=*((char*)Addr+10); Swapped[6]=*((char*)Addr+9); Swapped[7]=*((char*)Addr+8); Swapped[8]=*((char*)Addr+7); Swapped[9]=*((char*)Addr+6); Swapped[10]=*((char*)Addr+5); Swapped[11]=*((char*)Addr+4); Swapped[12]=*((char*)Addr+3); Swapped[13]=*((char*)Addr+2); Swapped[14]=*((char*)Addr+1); Swapped[15]=*((char*)Addr ); break; } return (void*)Swapped; } // Read one line (max 1024 chars) and exit if EOF char *readLineFromFile(FILE *in, bool exit_on_eof = 1) { #define MAX_READLINE_CHARS 1024 static char line[MAX_READLINE_CHARS]; int i=0; char c; while ((c = fgetc(in)) != '\n' && i<(MAX_READLINE_CHARS-1)) if (c==EOF) { if (exit_on_eof) JMesh::error("\nUnexpected end of file!\n"); else return NULL; } else if (c != '\r') line[i++] = c; line[i] = '\0'; if (i==MAX_READLINE_CHARS-1) JMesh::warning("readLineFromFile: Line is too long. Truncated !\n"); return line; } // Looks for a keyword 'kw' in an ASCII file referenced through 'fp'. // The file pointer is set to the byte right after the first keyword matched. // Return 1 on success (keyword match), 0 otherwise. bool seek_keyword(FILE *fp, const char *kw) { static char s[256]; s[0]='\0'; do { if (!fscanf(fp,"%255s",s)) JMesh::error("fscanf %s:%d failed.", __FILE__, __LINE__); } while (strcmp(s,kw) && !feof(fp)); if (feof(fp)) return 0; return 1; } inline void skipCommentAndBlankLines(FILE *fp) { long pos0; char *line, s[2]; do {pos0 = ftell(fp); line = readLineFromFile(fp);} while (line[0] == '#' || line[0] == '\0' || !sscanf(line,"%1s",s)); fseek(fp, pos0, SEEK_SET); } ////////////////////// Dispatch the load /////////////////////////// int Triangulation::load(const char *fname, const bool doupdate) { FILE *fp; char header[256]; size_t as; int err = IO_UNKNOWN; if ((fp = fopen(fname,"r")) == NULL) return IO_CANTOPEN; as = fread(header, 1, 256, fp); fclose(fp); if (as >= VRML1_HSIZE && !strncmp(header, VRML1_HEADER, VRML1_HSIZE)) err = loadVRML1(fname); else if (as >= VRML2_HSIZE && !strncmp(header, VRML2_HEADER, VRML2_HSIZE)) err = loadVRML2(fname); else if (as >= OFF_HSIZE && !strncmp(header, OFF_HEADER, OFF_HSIZE)) err = loadOFF(fname); else if (as >= PLY_HSIZE && !strncmp(header, PLY_HEADER, PLY_HSIZE)) err = loadPLY(fname); else if (as >= IV_HSIZE && !strncmp(header, IV_HEADER, IV_HSIZE)) err = loadIV(fname); else if (sameString((char *)(fname+strlen(fname)-4), (char *)".obj")) err = loadOBJ(fname); else if (sameString((char *)(fname+strlen(fname)-4), (char *)".tri")) err = loadVerTri(fname); else if (sameString((char *)(fname+strlen(fname)-4), (char *)".stl")) err = loadSTL(fname); if (!err && doupdate) eulerUpdate(); return err; } int Triangulation::append(const char *filename, const bool doupdate) { if (!T.numels()) return load(filename, doupdate); Triangulation ntin; int err = ntin.load(filename, 0); if (err) return err; V.joinTailList(&(ntin.V)); E.joinTailList(&(ntin.E)); T.joinTailList(&(ntin.T)); if (doupdate) eulerUpdate(); else d_boundaries = d_handles = d_shells = 1; return 0; } int Triangulation::save(const char *fname, bool back_approx) { char nfname[4096]; strcpy(nfname, fname); int rv; size_t i=strlen(fname)-1; while (i>0 && fname[i] != '.') i--; if (i==0) {strcat(nfname,".wrl"); i=strlen(fname);} if (sameString(nfname+i, ".wrl")) rv = saveVRML1(nfname); else if (sameString(nfname+i, ".iv")) rv = saveIV(nfname); else if (sameString(nfname+i, ".off")) rv = saveOFF(nfname); else if (sameString(nfname+i, ".ply")) rv = savePLY(nfname); else if (sameString(nfname+i, ".obj")) rv = saveOBJ(nfname); else if (sameString(nfname+i, ".stl")) rv = saveSTL(nfname); else if (sameString(nfname+i, ".tri")) {nfname[i]='\0'; rv = saveVerTri(nfname);} else { JMesh::warning("Unknown extension '%s'.\n",nfname+i); JMesh::warning("I did not save anything.\n"); JMesh::warning("Recognized extensions are:"); JMesh::warning(".wrl (ASCII VRML 1.0)\n"); JMesh::warning(".iv (Open Inventor 2.1)\n"); JMesh::warning(".off (Object File Format)\n"); JMesh::warning(".obj (Wavefront/Java3D)\n"); JMesh::warning(".stl (Stereolithography)\n"); JMesh::warning(".ply (Ascii PLY 1.0 Format)\n"); JMesh::warning(".tri (IMATI ver-tri File Format)\n"); return 0; } if (!rv && back_approx) coordBackApproximation(); return rv; } // This part is common to all the loaders bool Triangulation::CreateIndexedTriangle(ExtVertex **var, int i1, int i2, int i3) { Edge *e1, *e2, *e3; e1 = CreateEdge(var[i1],var[i2]); if (IS_VISITED(e1) || (e1->t1 != NULL && e1->t2 != NULL)) MARK_VISIT(e1); e2 = CreateEdge(var[i2],var[i3]); if (IS_VISITED(e2) || (e2->t1 != NULL && e2->t2 != NULL)) MARK_VISIT(e2); e3 = CreateEdge(var[i3],var[i1]); if (IS_VISITED(e3) || (e3->t1 != NULL && e3->t2 != NULL)) MARK_VISIT(e3); if (IS_VISITED(e1)) {e1 = CreateEdge(var[i1],var[i2],0); MARK_VISIT(e1);} if (IS_VISITED(e2)) {e2 = CreateEdge(var[i2],var[i3],0); MARK_VISIT(e2);} if (IS_VISITED(e3)) {e3 = CreateEdge(var[i3],var[i1],0); MARK_VISIT(e3);} if (CreateUnorientedTriangle(e1,e2,e3) == NULL) { if (e3->t1 == NULL && e3->t2 == NULL) { E.freeNode(e3); var[i3]->VE.removeNode(e3); var[i1]->VE.removeNode(e3); if (var[i3]->v->e0 == e3) var[i3]->v->e0 = NULL; if (var[i1]->v->e0 == e3) var[i1]->v->e0 = NULL; } if (e2->t1 == NULL && e2->t2 == NULL) { E.freeNode(e2); var[i2]->VE.removeNode(e2); var[i3]->VE.removeNode(e2); if (var[i2]->v->e0 == e2) var[i2]->v->e0 = NULL; if (var[i3]->v->e0 == e2) var[i3]->v->e0 = NULL; } if (e1->t1 == NULL && e1->t2 == NULL) { E.freeNode(e1); var[i1]->VE.removeNode(e1); var[i2]->VE.removeNode(e1); if (var[i1]->v->e0 == e1) var[i1]->v->e0 = NULL; if (var[i2]->v->e0 == e1) var[i2]->v->e0 = NULL; } return 0; } return 1; } // This part is common to all the loaders void Triangulation::closeLoadingSession(FILE *fp, int loaded_faces, ExtVertex **var, bool triangulate) { int i, nv = V.numels(); fclose(fp); if (var != NULL) { for (i=0; ix); sscanf(floatver,"%f",&x); v->x = x; sprintf(floatver,"%f",v->y); sscanf(floatver,"%f",&x); v->y = x; sprintf(floatver,"%f",v->z); sscanf(floatver,"%f",&x); v->z = x; } } ////////////////////// Loads VRML 1.0 format /////////////////////////// int Triangulation::loadVRML1(const char *fname) { FILE *fp; Node *n; float x,y,z; int i,i1,i2,i3,i4,nv=0,triangulate=0; Vertex *v; if ((fp = fopen(fname,"r")) == NULL) return IO_CANTOPEN; if (!seek_keyword(fp, "point")) {closeLoadingSession(fp, 0, NULL, 0); return IO_FORMAT;} if (!seek_keyword(fp, "[")) {closeLoadingSession(fp, 0, NULL, 0); return IO_FORMAT;} while (fscanf(fp,"%f %f %f,",&x,&y,&z) == 3) V.appendTail(new Vertex(x,y,z)); nv = V.numels(); ExtVertex **var = (ExtVertex **)malloc(sizeof(ExtVertex *)*nv); i=0; FOREACHVERTEX(v, n) var[i++] = new ExtVertex(v); if (!seek_keyword(fp, "coordIndex")) {closeLoadingSession(fp, 0, var, 0); return IO_FORMAT;} if (!seek_keyword(fp, "[")) {closeLoadingSession(fp, 0, var, 0); return IO_FORMAT;} i=0; JMesh::begin_progress(); while (fscanf(fp,"%d, %d, %d,",&i1,&i2,&i3) == 3) { if (((i++)%1000) == 0) JMesh::report_progress("Loading ..%d%%",(i*100)/(nv*2)); if (i1<0 || i2<0 || i3<0 || i1>(nv-1) || i2>(nv-1) || i3>(nv-1)) JMesh::error("\nloadVRML1: Invalid indices %d %d %d!\n",i1,i2,i3); do { if (i1 == i2 || i2 == i3 || i3 == i1) JMesh::warning("\nloadVRML1: Coincident indexes at face %d! Skipping.\n",i); else if (!CreateIndexedTriangle(var, i1, i2, i3)) JMesh::warning("\nloadVRML1: This shouldn't happen!!! Skipping triangle.\n"); if (fscanf(fp,"%d,",&i4) != 1) JMesh::error("loadVRML1: Unexpected end of file at face %d!\n",i); i2=i3; i3=i4; if (i4 != -1) triangulate=1; } while (i4 != -1); } JMesh::end_progress(); closeLoadingSession(fp, i, var, (triangulate != 0)); return 0; } int Triangulation::loadIV(const char *fname) { return loadVRML1(fname); } ////////////////////// Loads OFF format /////////////////////////// int Triangulation::loadOFF(const char *fname) { FILE *fp; Node *n; char s[256], *line; float x,y,z; int i,j,i1,i2,i3,i4,nv,nt,ne,triangulate=0; Vertex *v; if ((fp = fopen(fname,"rb")) == NULL) return IO_CANTOPEN; if(!fscanf(fp,"%255s",s)) JMesh::error("fscanf %s:%d failed.", __FILE__, __LINE__); if (strcmp(s,"OFF") || feof(fp)) return IO_FORMAT; do {line = readLineFromFile(fp);} while (line[0] == '#' || line[0] == '\0' || !sscanf(line,"%256s",s)); if (sscanf(line,"%d %d %d",&nv,&nt,&ne) < 3) return IO_FORMAT; if (nv < 3) JMesh::error("\nloadOFF: Sorry. Can't load objects with less than 3 vertices.\n"); if (nt < 1) JMesh::error("\nloadOFF: Sorry. Can't load objects with no faces.\n"); skipCommentAndBlankLines(fp); for (i=0; i(nv-1) || i2>(nv-1) || i3>(nv-1)) JMesh::error("\nloadOFF: Invalid index at face %d!\n",i); for (j=3; j<=i4; j++) { if (i1 == i2 || i2 == i3 || i3 == i1) JMesh::warning("\nloadOFF: Coincident indexes at triangle %d! Skipping.\n",i); else if (!CreateIndexedTriangle(var, i1, i2, i3)) JMesh::warning("\nloadOFF: This shouldn't happen!!! Skipping triangle.\n"); i2 = i3; if (j(nv-1) || i2>(nv-1) || i3>(nv-1)) JMesh::error("\nloadVRML2: Invalid index at face %d!\n",i); do { if (i1 == i2 || i2 == i3 || i3 == i1) JMesh::warning("\nloadVRML2: Coincident indexes at triangle %d! Skipping.\n",i); else if (!CreateIndexedTriangle(var, i1, i2, i3)) JMesh::warning("\nloadVRML2: This shouldn't happen!!! Skipping triangle.\n"); if (fscanf(fp,"%d,",&i4) != 1) JMesh::error("loadVRML2: Unexpected end of file at triangle %d!\n",i); i2=i3; i3=i4; if (i4 != -1) triangulate=1; } while (i4 != -1); } JMesh::end_progress(); closeLoadingSession(fp, i, var, (triangulate != 0)); return 0; } ////////////////////// Loads Ver-Tri format //////////////////// int Triangulation::loadVerTri(const char *fname) { FILE *fpv, *fpt; int numvers, numtris, i, i1, i2, i3, a1, a2, a3; float x,y,z; char vername[256], triname[256]; Node *n; Vertex *v; if (!sameString((char *)(fname+strlen(fname)-4), (char *)".tri")) return IO_UNKNOWN; strcpy(triname,fname); strcpy(vername,fname); vername[strlen(vername)-4]='\0'; strcat(vername,".ver"); if ((fpv = fopen(vername,"r")) == NULL) { fprintf(stderr,"Can't open '%s' for input !\n",vername); return 1; } if ((fpt = fopen(triname,"r")) == NULL) { fclose(fpv); fprintf(stderr,"Can't open '%s' for input !\n",triname); return 1; } if (!fscanf(fpv,"%d\n",&numvers) || numvers < 3) {fclose(fpv); fclose(fpt); return IO_FORMAT;} if (!fscanf(fpt,"%d\n",&numtris) || numtris < 1) {fclose(fpv); fclose(fpt); return IO_FORMAT;} for (i=0; i (numvers) || i2 > (numvers) || i3 > (numvers)) JMesh::error("\nloadVerTri: Index out of bounds at triangle %d!\n",i); else if (i1 == i2 || i2 == i3 || i3 == i1) JMesh::warning("\nloadVerTri: Coincident indexes at triangle %d! Skipping.\n",i); else if (!CreateIndexedTriangle(var, i1-1, i2-1, i3-1)) JMesh::warning("\nloadVerTri: This shouldn't happen!!! Skipping triangle.\n"); } else JMesh::error("loadVerTri: Couldn't read %dth triangle !\n",i+1); JMesh::end_progress(); closeLoadingSession(fpt, T.numels(), var, 0); return 0; } ////////////////////// Saves IV 2.1 format //////////////////// int Triangulation::saveIV(const char *fname) { FILE *fp; int i; char triname[256]; Node *n; coord *ocds; Vertex *v; strcpy(triname,fname); if ((fp = fopen(triname,"w")) == NULL) { JMesh::warning("Can't open '%s' for output !\n",triname); return 1; } fprintf(fp,"#Inventor V2.1 ascii\n\n"); PRINT_HEADING_COMMENT(fp); fprintf(fp,"Separator {\n"); fprintf(fp," Coordinate3 {\n point [\n"); FOREACHVERTEX(v, n) fprintf(fp," %f %f %f,\n",v->x,v->y,v->z); fprintf(fp," ]\n }\n"); fprintf(fp," IndexedFaceSet {\n coordIndex [\n"); ocds = (coord *)malloc(sizeof(coord)*V.numels()); i=0; FOREACHVERTEX(v, n) ocds[i++] = v->x; i=0; FOREACHVERTEX(v, n) v->x = i++; FOREACHNODE(T, n) fprintf(fp," %d, %d, %d, -1,\n",TVI1(n),TVI2(n),TVI3(n)); fprintf(fp," ]\n }\n"); fprintf(fp,"}\n"); fclose(fp); i=0; FOREACHVERTEX(v, n) v->x = ocds[i++]; free(ocds); return 0; } ////////////////////// Saves VRML 1.0 format //////////////////// int Triangulation::saveVRML1(const char *fname, const int mode) { FILE *fp; int i; unsigned int pkc; char triname[256]; Node *n; Vertex *v; Triangle *t; coord *ocds; strcpy(triname,fname); if ((fp = fopen(triname,"w")) == NULL) { JMesh::warning("Can't open '%s' for output !\n",triname); return 1; } fprintf(fp,"#VRML V1.0 ascii\n\n"); PRINT_HEADING_COMMENT(fp); fprintf(fp,"Separator {\n"); fprintf(fp," Coordinate3 {\n point [\n"); FOREACHVERTEX(v, n) fprintf(fp," %f %f %f,\n",v->x,v->y,v->z); fprintf(fp," ]\n }\n"); ocds = (coord *)malloc(sizeof(coord)*V.numels()); i=0; FOREACHVERTEX(v, n) {ocds[i] = v->x; v->x = i++;} switch (mode) { case IO_CSAVE_OVERALL: fprintf(fp,"Material {\n diffuseColor 0.6 0.6 0.6\n}\n"); break; case IO_CSAVE_PERFACE: fprintf(fp,"Material {\n diffuseColor [\n"); FOREACHTRIANGLE(t, n) { pkc = (unsigned int)((j_voidint)t->info); fprintf(fp," %f %f %f,\n",((pkc>>24)&0x000000ff)/255.0,((pkc>>16)&0x000000ff)/255.0,((pkc>>8)&0x000000ff)/255.0); } fprintf(fp," ]\n}\nMaterialBinding {\n value PER_FACE_INDEXED\n}\n"); break; case IO_CSAVE_PERVERTEX: fprintf(fp,"Material {\n diffuseColor [\n"); FOREACHVERTEX(v, n) { pkc = (unsigned int)((j_voidint)v->info); fprintf(fp," %f %f %f,\n",((pkc>>24)&0x000000ff)/255.0,((pkc>>16)&0x000000ff)/255.0,((pkc>>8)&0x000000ff)/255.0); } fprintf(fp," ]\n}\nMaterialBinding {\n value PER_VERTEX_INDEXED\n}\n"); break; case IO_CSAVE_PERFACE_INDEXED: fprintf(fp,"Material {\n diffuseColor [\n"); fprintf(fp,"1.0 1.0 1.0,\n1.0 0.0 0.0,\n0.0 1.0 0.0,\n0.0 0.0 1.0,\n 0.8 0.8 0.0\n"); fprintf(fp," ]\n}\nMaterialBinding {\n value PER_FACE_INDEXED\n}\n"); break; case IO_CSAVE_PERVERTEX_INDEXED: fprintf(fp,"Material {\n diffuseColor [\n"); fprintf(fp,"1.0 1.0 1.0,\n1.0 0.0 0.0,\n0.0 1.0 0.0,\n0.0 0.0 1.0,\n 0.8 0.8 0.0\n"); fprintf(fp," ]\n}\nMaterialBinding {\n value PER_VERTEX_INDEXED\n}\n"); break; default: JMesh::error("Triangulation::saveVRML1. Unknown mode %d\n",mode); } fprintf(fp," IndexedFaceSet {\n coordIndex [\n"); FOREACHTRIANGLE(t, n) fprintf(fp," %d, %d, %d, -1,\n",(int)t->v1()->x,(int)t->v2()->x,(int)t->v3()->x); fprintf(fp," ]\n"); if (mode != IO_CSAVE_OVERALL) { fprintf(fp," materialIndex [\n"); switch (mode) { case IO_CSAVE_PERFACE_INDEXED: FOREACHTRIANGLE(t, n) fprintf(fp," %d,\n",t->mask); break; case IO_CSAVE_PERVERTEX_INDEXED: FOREACHTRIANGLE(t, n) fprintf(fp," %d, %d, %d, -1,\n",t->v1()->mask,t->v2()->mask,t->v3()->mask); break; case IO_CSAVE_PERFACE: i=0; FOREACHTRIANGLE(t, n) fprintf(fp," %d,\n",i++); break; case IO_CSAVE_PERVERTEX: FOREACHTRIANGLE(t, n) fprintf(fp," %d, %d, %d, -1,\n",(int)t->v1()->x,(int)t->v2()->x,(int)t->v3()->x); break; } fprintf(fp," ]\n"); } fprintf(fp," }\n}\n"); fclose(fp); i=0; FOREACHVERTEX(v, n) v->x = ocds[i++]; free(ocds); return 0; } ////////////////////// Saves OFF format /////////////////////////// int Triangulation::saveOFF(const char *fname) { FILE *fp; int i; char triname[256]; Node *n; coord *ocds; Vertex *v; strcpy(triname,fname); if ((fp = fopen(triname,"w")) == NULL) { JMesh::warning("Can't open '%s' for output !\n",triname); return 1; } fprintf(fp,"OFF\n"); PRINT_HEADING_COMMENT(fp); fprintf(fp,"%d %d 0\n",V.numels(),T.numels()); FOREACHVERTEX(v, n) fprintf(fp,"%f %f %f\n",v->x,v->y,v->z); ocds = (coord *)malloc(sizeof(coord)*V.numels()); i=0; FOREACHVERTEX(v, n) ocds[i++] = v->x; i=0; FOREACHVERTEX(v, n) v->x = i++; FOREACHNODE(T, n) fprintf(fp,"3 %d %d %d\n",TVI1(n),TVI2(n),TVI3(n)); fclose(fp); i=0; FOREACHVERTEX(v, n) v->x = ocds[i++]; free(ocds); return 0; } ////////////////////// Saves Ver-Tri format //////////////////// //#define SAVE_INFO int Triangulation::saveVerTri(const char *fname) { #ifdef SAVE_INFO JMesh::warning("saveVerTri: Assuming that the vertex info field is allocated!\n"); FILE *fpj; char jkkname[256]; #endif FILE *fpv, *fpt; int i, i1, i2, i3, a1, a2, a3; char vername[256], triname[256]; Node *n; Vertex *v; Triangle *t, *t1, *t2, *t3; coord *ocds; strcpy(triname,fname); strcpy(vername,fname); strcat(triname,".tri"); strcat(vername,".ver"); #ifdef SAVE_INFO strcpy(jkkname,fname); strcat(jkkname,".jkk"); #endif if ((fpv = fopen(vername,"w")) == NULL) { fprintf(stderr,"Can't open '%s' for output !\n",vername); return 1; } if ((fpt = fopen(triname,"w")) == NULL) { fclose(fpv); fprintf(stderr,"Can't open '%s' for output !\n",triname); return 1; } #ifdef SAVE_INFO if ((fpj = fopen(jkkname,"w")) == NULL) { fclose(fpv); fclose(fpt); fprintf(stderr,"Can't open '%s' for output !\n",jkkname); return 1; } #endif fprintf(fpv,"%d\n",V.numels()); FOREACHVERTEX(v, n) { fprintf(fpv,"%f %f %f\n",v->x,v->y,v->z); } fclose(fpv); #ifdef SAVE_INFO for (n=V.tail; n != NULL; n=n->prev) { v = ((Vertex *)n->data); fprintf(fpj,"%f\n",(*((double *)(v->info)))); } fclose(fpj); #endif ocds = (coord *)malloc(sizeof(coord)*V.numels()); i=0; FOREACHVERTEX(v, n) ocds[i++] = v->x; i=0; FOREACHVERTEX(v, n) v->x = ++i; i=0; FOREACHTRIANGLE(t, n) {i++; t->info = (void *)i;} fprintf(fpt,"%d\n",T.numels()); FOREACHTRIANGLE(t, n) { i1 = (int)(t->v1()->x); i2 = (int)(t->v2()->x); i3 = (int)(t->v3()->x); t1 = t->t1(); t2 = t->t2(); t3 = t->t3(); a1 = (t1)?((long int)(t1->info)):(0); a2 = (t2)?((long int)(t2->info)):(0); a3 = (t3)?((long int)(t3->info)):(0); fprintf(fpt,"%d %d %d %d %d %d\n",i1, i2, i3, a1, a2, a3); } fclose(fpt); i=0; FOREACHVERTEX(v, n) v->x = ocds[i++]; free(ocds); return 0; } // Implements the cutting and stitching procedure to convert to manifold mesh // // Assumes that singular edges to be cut and stitched are marked as VISITED. // int Triangulation::cutAndStitch() { Edge *e1, *e2; Node *n; List cut; int i; FOREACHEDGE(e1, n) if (IS_VISITED(e1)) { if (e1->t1 != NULL && e1->t2 != NULL) { e2 = new Edge(e1->v2, e1->v1); E.appendHead(e2); e1->t2->replaceEdge(e1, e2); e2->t2 = e1->t2; e1->t2 = NULL; } cut.appendHead(e1); UNMARK_VISIT(e1); } do { i=0; FOREACHVEEDGE((&cut), e1, n) if (e1->v1!=NULL) i += e1->stitch(); } while (i); removeEdges(); d_boundaries = d_handles = d_shells = 1; return cut.numels(); } ////////////////////// PLY LOADER ////////////////////////////////////////////// int ply_parseElements(FILE *in, const char *elname) { char c, keyword[64]; int num; // skip comments if (!fscanf(in,"%64s ",keyword)) JMesh::error("Unexpected token or end of file!\n"); while (!strcmp(keyword,"comment") || !strcmp(keyword,"obj_info")) { while ((c = fgetc(in)) != '\n') if (c==EOF) JMesh::error("\nUnexpected end of file!\n"); if (!fscanf(in,"%64s ",keyword)) JMesh::error("Unexpected token or end of file!\n"); } if (strcmp(keyword,"element")) JMesh::error("element definition expected!\n"); if (!fscanf(in,"%64s ",keyword)) JMesh::error("Unexpected token or end of file!\n"); if (strcmp(keyword,elname)) JMesh::error("Sorry. Element type '%s' is not supported!\n",keyword); if (!fscanf(in,"%d\n",&num)) JMesh::error("Unexpected token or end of file!\n"); if (num <= 0) JMesh::error("Unexpected empty element list!\n"); return num; } void ply_checkVertexProperties(FILE *in) { char keyword[64], dtype[64], dval[64]; if (fscanf(in,"%64s %64s %64s\n",keyword,dtype,dval) < 3) JMesh::error("Unexpected token or end of file!\n"); if (strcmp(keyword,"property")) JMesh::error("property definition expected!\n"); if (strcmp(dtype,"float") && strcmp(dtype,"float32")) JMesh::error("float property expected!\n"); if (strcmp(dval,"x")) JMesh::error("'x' float property expected!\n"); if (fscanf(in,"%64s %64s %64s\n",keyword,dtype,dval) < 3) JMesh::error("Unexpected token or end of file!\n"); if (strcmp(keyword,"property")) JMesh::error("property definition expected!\n"); if (strcmp(dtype,"float") && strcmp(dtype,"float32")) JMesh::error("float property expected!\n"); if (strcmp(dval,"y")) JMesh::error("'y' float property expected!\n"); if (fscanf(in,"%64s %64s %64s\n",keyword,dtype,dval) < 3) JMesh::error("Unexpected token or end of file!\n"); if (strcmp(keyword,"property")) JMesh::error("property definition expected!\n"); if (strcmp(dtype,"float") && strcmp(dtype,"float32")) JMesh::error("float property expected!\n"); if (strcmp(dval,"z")) JMesh::error("'z' float property expected!\n"); } int ply_getOverhead(FILE *in, int format, const char *element) { char keyword[64], ptype[64], pname[64]; int oh = 0; long pos = ftell(in); char *rline = readLineFromFile(in); if (!sscanf(rline,"%64s ",keyword)) JMesh::error("Unexpected token or end of file!\n"); while (!strcmp(keyword, "property")) { if (sscanf(rline,"%64s %64s %64s",keyword,ptype,pname) < 3) JMesh::error("Unexpected token or end of file!\n"); if (!strcmp(element,"vertex") && !strcmp(pname,"x")) break; else if (!strcmp(element,"face") && !strcmp(ptype,"list")) break; pos = ftell(in); if (!strcmp(ptype, "char") || !strcmp(ptype, "uchar")) oh += (format)?(1):1; else if (!strcmp(ptype, "short") || !strcmp(ptype, "ushort")) oh += (format)?(2):1; else if (!strcmp(ptype, "int") || !strcmp(ptype, "uint") || !strcmp(ptype, "float") || !strcmp(ptype,"float32")) oh += (format)?(4):1; else if (!strcmp(ptype, "double")) oh += (format)?(8):1; else if (!strcmp(ptype, "list")) JMesh::error("list properties other than face indices are not supported!\n"); else JMesh::error("Unrecognized property type!\n"); if (!sscanf(readLineFromFile(in),"%64s ",keyword)) JMesh::error("Unexpected token or end of file!\n"); } fseek(in, pos, SEEK_SET); return oh; } void ply_checkFaceProperties(FILE *in) { char keyword[64], ltype[64], uctype[64], dtype[64], dval[64]; if (fscanf(in,"%64s %64s %64s %64s %64s\n",keyword,ltype,uctype,dtype,dval) < 5) JMesh::error("Unexpected token or end of file!\n"); if (strcmp(keyword,"property")) JMesh::error("property definition expected!\n"); if (strcmp(ltype,"list")) JMesh::error("list property expected!\n"); if (strcmp(uctype,"uchar") && strcmp(uctype,"uint8")) JMesh::error("uchar property expected!\n"); if (strcmp(dtype,"int") && strcmp(dtype,"int32")) JMesh::error("int property expected!\n"); if (strcmp(dval,"vertex_indices")) JMesh::error("vertex_indices property expected!\n"); } void ply_readOverhead(FILE *in, int format, int oh) { int i; static char token[1024]; if (format == PLY_FORMAT_ASCII) for (i=0; i(nv-1) || i2>(nv-1) || i3>(nv-1)) JMesh::error("\nloadPLY: Invalid index at face %d!\n",i); for (j=3; j<=i4; j++) { if (i1 == i2 || i2 == i3 || i3 == i1) JMesh::warning("\nloadPLY: Coincident indexes at triangle %d! Skipping.\n",i); else if (!CreateIndexedTriangle(var, i1, i2, i3)) JMesh::warning("\nloadPLY: This shouldn't happen!!! Skipping triangle.\n"); i2 = i3; if (jx,v->y,v->z); else FOREACHVERTEX(v, n) { fc[0]=(float)v->x; fc[1]=(float)v->y; fc[2]=(float)v->z; fwrite(fc, sizeof(float), 3, fp); } ocds = (coord *)malloc(sizeof(coord)*V.numels()); i=0; FOREACHVERTEX(v, n) ocds[i++] = v->x; i=0; FOREACHVERTEX(v, n) v->x = i++; if (ascii) FOREACHNODE(T, n) fprintf(fp,"3 %d %d %d\n",TVI1(n),TVI2(n),TVI3(n)); else FOREACHNODE(T, n) { ii[0]=TVI1(n); ii[1]=TVI2(n); ii[2]=TVI3(n); fwrite(&ii0, sizeof(unsigned char), 1, fp); fwrite(ii, sizeof(int), 3, fp); } fclose(fp); i=0; FOREACHVERTEX(v, n) v->x = ocds[i++]; free(ocds); return 0; } ////////////////////// Loads OBJ format /////////////////////////// int Triangulation::loadOBJ(const char *fname) { FILE *fp; Node *n; char c, cmd[3] = ""; float x,y,z; bool face_section = 0; int i=0,i1,i2,i3,nv=0,triangulate=0; Vertex *v; ExtVertex **var=NULL; if ((fp = fopen(fname,"r")) == NULL) return IO_CANTOPEN; JMesh::begin_progress(); while (fscanf(fp, "%2s", cmd) && cmd[0] != '\0') { if (!strcmp(cmd,"v")) { if (face_section) JMesh::error("\nloadOBJ: Sorry. Couldn't manage disconnected vertex sections.\n"); if (fscanf(fp, "%f %f %f", &x, &y, &z) == 3) V.appendTail(new Vertex(x,y,z)); else JMesh::error("\nloadOBJ: Couldn't read coordinates for vertex # %d\n",i); } else if (!strcmp(cmd,"f")) { if (!face_section) { nv = V.numels(); var = (ExtVertex **)malloc(sizeof(ExtVertex *)*nv); i=0; FOREACHVERTEX(v, n) var[i++] = new ExtVertex(v); face_section = 1; i=0; } if (fscanf(fp,"%d %d %d",&i1,&i2,&i3) == 3) { if ((i%1000) == 0) JMesh::report_progress("Loading ..%d%%",(i*100)/(nv*2)); if (i1<0 || i2<0 || i3<0) JMesh::error("\nloadOBJ: Sorry. Negative vertex references not supported.\n"); if (i1<1 || i2<1 || i3<1 || i1>nv || i2>nv || i3>nv) JMesh::error("\nloadOBJ: Invalid index at face %d!\n",i); do { if (i1 == i2 || i2 == i3 || i3 == i1) JMesh::warning("\nloadOBJ: Coincident indexes at triangle %d! Skipping.\n",i); else if (!CreateIndexedTriangle(var, i1-1, i2-1, i3-1)) JMesh::warning("\nloadOBJ: This shouldn't happen!!! Skipping triangle.\n"); i2 = i3; while ((c=fgetc(fp)) != EOF && isspace(c) && c != '\n' && c != '\r'); if (c==EOF) JMesh::error("\nloadOBJ: Unexpected end of file!\n"); if (c != '\n' && c != '\r') { ungetc(c, fp); if (fscanf(fp,"%d",&i3) != 1) JMesh::error("\nloadOBJ: Couldn't read indexes for face # %d\n",i); else triangulate=1; } } while (c != '\n' && c != '\r'); } else JMesh::error("\nloadOBJ: Couldn't read indexes for face # %d\n",i); i++; } else if (readLineFromFile(fp, 0) == NULL) break; cmd[0]='\0'; } JMesh::end_progress(); closeLoadingSession(fp, i, var, (triangulate!=0)); return 0; } ////////////////////// Saves OBJ format /////////////////////////// int Triangulation::saveOBJ(const char *fname) { FILE *fp; int i; char triname[256]; Node *n; coord *ocds; Vertex *v; strcpy(triname,fname); if ((fp = fopen(triname,"w")) == NULL) { JMesh::warning("Can't open '%s' for output !\n",triname); return 1; } PRINT_HEADING_COMMENT(fp); FOREACHVERTEX(v, n) fprintf(fp,"v %f %f %f\n",v->x,v->y,v->z); ocds = (coord *)malloc(sizeof(coord)*V.numels()); i=0; FOREACHVERTEX(v, n) ocds[i++] = v->x; i=0; FOREACHVERTEX(v, n) v->x = i++; FOREACHNODE(T, n) fprintf(fp,"f %d %d %d\n",TVI1(n)+1,TVI2(n)+1,TVI3(n)+1); fclose(fp); i=0; FOREACHVERTEX(v, n) v->x = ocds[i++]; free(ocds); return 0; } ////////////////////// Loads STL format /////////////////////////// int Triangulation::loadSTL(const char *fname) { FILE *fp; int nt=0, i=0; char kw[64]="", kw2[64]="", *line, facet[50]; float x,y,z; bool binary=0; Vertex *v, *v1=NULL, *v2=NULL, *v3=NULL; Edge *e1, *e2, *e3; Triangle *t; Point nor; if ((fp = fopen(fname,"r")) == NULL) return IO_CANTOPEN; if (!fscanf(fp,"%5s",kw)) JMesh::error("fscanf %s:%d failed.", __FILE__, __LINE__); if (strcmp(kw,"solid")) binary=1; JMesh::begin_progress(); if (binary) { if( !fseek(fp, 80, SEEK_SET) ) JMesh::error("fseek %s:%d failed.", __FILE__, __LINE__); if( !fread(&nt, 4, 1, fp) ) JMesh::error("fread %s:%d failed.", __FILE__, __LINE__); for (i=0; igetNormal(); fprintf(fp," facet normal %f %f %f\n",nor.x,nor.y,nor.z); fprintf(fp," outer loop\n"); fprintf(fp," vertex %f %f %f\n",t->v1()->x,t->v1()->y,t->v1()->z); fprintf(fp," vertex %f %f %f\n",t->v2()->x,t->v2()->y,t->v2()->z); fprintf(fp," vertex %f %f %f\n",t->v3()->x,t->v3()->y,t->v3()->z); fprintf(fp," endloop\n"); fprintf(fp," endfacet\n"); } fprintf(fp,"endsolid JMESH_STL\n"); fclose(fp); return 0; } ////////////////////// Saves MSH format (gmsh) /////////////////////////// // saveMSH keeps masks and normals unchanged // and can be used anytime to write out intermediate results for debugging // (e.g. this->saveMSH("test.msh") will write out the maskByte) // when an additional maskByte is defined, then separate element data sets // are saved for each set bit (easier for visual inspection of specific mask bits) // (e.g. this->saveMSH("test.msh",3) will save separate data sets for mask bits 0 and 1) // additionally, the normals can be saved // (e.g. this->saveMSH("test.msh",0,1) int Triangulation::saveMSH(const char *fname, char maskByte, bool save_normals) { FILE *fp; char triname[256], mask; int i = 0,j = 0, k = 0, nShells; Node *n, *norg; Vertex *v, *vorg; Triangle *t, *torg; Edge *e, *eorg; Point Normal; Triangulation *shellPtr, *shellPtr2; // temporary triangulations void *info; int *hlpPtr, *hlpPtr2, *hlpPtr3; strcpy(triname,fname); if ((fp = fopen(triname,"w")) == NULL) { JMesh::warning("Can't open '%s' for output !\n",triname); return 1; } JMesh::info("Writing %s ...\n",triname); k=0; FOREACHTRIANGLE(t, n) { if(t->mask){ k++; }; } JMesh::info("N non-zero masks %d\n",k); // writing vertices fprintf(fp,"$MeshFormat\n2.0 0 8\n$EndMeshFormat\n$Nodes\n%d\n",V.numels()); FOREACHVERTEX(v, n) { i++; fprintf(fp,"%d %f %f %f\n",i,v->x,v->y,v->z); v->info = (int *) malloc(sizeof(int)); hlpPtr = (int *) v->info; // give vertex unique number; needed for triangle definition in msh format (see below) *hlpPtr = i; } fprintf(fp,"$EndNodes\n$Elements\n%d\n",T.numels()); JMesh::info("OrgShell: %d vertices and %d faces.\n",V.numels(),T.numels()); // writing triangles (separately for each shell): // copy the complete shell, as extractFirstShell successively removes the pointers to the info fields otherwise shellPtr = new Triangulation(this,1); nShells = shellPtr->shells(); i = 0; for(j=0; jextractFirstShell(1); JMesh::info("extractedShell: %d vertices and %d faces.\n",shellPtr2->V.numels(),shellPtr2->T.numels()); FOREACHVTTRIANGLE((&(shellPtr2->T)), t, n) { i++; hlpPtr = (int*) t->v1()->info; hlpPtr2 = (int*) t->v2()->info; hlpPtr3 = (int*) t->v3()->info; fprintf(fp,"%d 2 2 %d %d %d %d %d\n",i, j+1, j+1, *hlpPtr, *hlpPtr2, *hlpPtr3); } } // writing vertex normals if(save_normals) { i=0; fprintf(fp,"$NodeData\n1\n\"VertexNormals\"\n1\n0.0\n3\n0\n%d\n%d\n",3,V.numels()); FOREACHVERTEX(v, n) { i++; Normal = v->getNormal(); fprintf(fp,"%d %f %f %f\n",i,Normal.x,Normal.y,Normal.z); } fprintf(fp,"$EndNodeData\n"); } // writing vertex masks fprintf(fp,"$NodeData\n1\n\"VertexMasks\"\n1\n0.0\n3\n0\n%d\n%d\n",1,V.numels()); i=0; FOREACHVERTEX(v, n) { i++; fprintf(fp,"%d %d\n",i,v->mask); } fprintf(fp,"$EndNodeData\n"); // writing triangle normals (separately for each shell) if(save_normals) { shellPtr = new Triangulation(this,1); nShells = shellPtr->shells(); i=0; fprintf(fp,"$ElementData\n1\n\"TriangleNormals\"\n1\n0.0\n3\n0\n%d\n%d\n",3,T.numels()); for(j=0; jextractFirstShell(); JMesh::info("extractedShell: %d vertices and %d faces.\n",shellPtr2->V.numels(),shellPtr2->T.numels()); FOREACHVTTRIANGLE((&(shellPtr2->T)), t, n) { i++; Normal = t->getNormal(); fprintf(fp,"%d %f %f %f\n",i,Normal.x,Normal.y,Normal.z); } } fprintf(fp,"$EndElementData\n"); } // writing triangle masks (separately for each shell) shellPtr = new Triangulation(this,1); nShells = shellPtr->shells(); // copy mask bits from original Triangulation (V,T,E) to shellPtr norg = T.head(); FOREACHVTTRIANGLE((&(shellPtr->T)),t, n) { torg = (Triangle *)norg->data; t->mask = torg->mask; norg = norg->next(); } i=0; fprintf(fp,"$ElementData\n1\n\"TriangleMasks\"\n1\n0.0\n3\n0\n%d\n%d\n",1,T.numels()); for(j=0; jextractFirstShell(1); JMesh::info("extractedShell: %d vertices and %d faces.\n",shellPtr2->V.numels(),shellPtr2->T.numels()); FOREACHVTTRIANGLE((&(shellPtr2->T)), t, n) { i++; fprintf(fp,"%d %d\n",i,t->mask); } } fprintf(fp,"$EndElementData\n"); // write out set bits of triangle mask byte as separate element data if(maskByte) { for(k=0; k<8; k++) { if( maskByte & 1<shells(); // copy mask bits from original Triangulation (V,T,E) to shellPtr norg = T.head(); FOREACHVTTRIANGLE((&(shellPtr->T)),t, n) { torg = (Triangle *)norg->data; t->mask = torg->mask; norg = norg->next(); } i=0; fprintf(fp,"$ElementData\n1\n\"TriangleBit %d\"\n1\n0.0\n3\n0\n%d\n%d\n",k,1,T.numels()); for(j=0; jextractFirstShell(1); JMesh::info("extractedShell: %d vertices and %d faces.\n",shellPtr2->V.numels(),shellPtr2->T.numels()); FOREACHVTTRIANGLE((&(shellPtr2->T)), t, n) { i++; fprintf(fp,"%d %d\n",i,IS_BIT(t,k)); } } fprintf(fp,"$EndElementData\n"); } } } fclose(fp); // free memory of info fields FOREACHVERTEX(v, n) free(v->info); return 0; } ////////////////////// Saves FreeSurfer format /////////////////////////// int Triangulation::saveFSMESH(const char *fname, float xshift) { FILE *fp; char triname[256], IsLittleEndian=0; unsigned char mnpart1=255, mnpart2=254; // used for the "TRIANGLE_FILE_MAGIC_NUMBER" int vnum, fnum, i, v1, v2, v3, *hlpPtr; Node *n; Vertex *v; float x, y, z; Triangle *t; mergeCoincidentEdges(); vnum = V.numels(); fnum = T.numels(); JMesh::info("saveFSMESH: Saving %d vertices and %d faces.\n",vnum,fnum); // little endian machine? short int word = 0x0001; char *byte = (char *) &word; IsLittleEndian = byte[0]; IsLittleEndian? JMesh::info("Little_Endian machine\n") : JMesh::info("Big_Endian machine\n"); // open output file strcpy(triname,fname); if ((fp = fopen(triname,"wb")) == NULL) { JMesh::warning("Can't open '%s' for output !\n",triname); return 1; } // write "TRIANGLE_FILE_MAGIC_NUMBER" (defined as 16777214) to indicate that this is a binary triangle file // see fwrite3.m fwrite ( &mnpart1, sizeof(unsigned char), 1, fp ); fwrite ( &mnpart1, sizeof(unsigned char), 1, fp ); fwrite ( &mnpart2, sizeof(unsigned char), 1, fp ); // write two text lines fprintf(fp,"created by MeshFix\n\n"); // write number of vertices and faces (i.e., triangles) IsLittleEndian? fwrite ( SwapEndian(&vnum, sizeof(int)), sizeof(int), 1, fp ) : fwrite ( &vnum, sizeof(int), 1, fp ); IsLittleEndian? fwrite ( SwapEndian(&fnum, sizeof(int)), sizeof(int), 1, fp ) : fwrite ( &fnum, sizeof(int), 1, fp ); // write vertice coordinates and give vertex unique number (using info field) i=0; FOREACHVERTEX(v, n) { x=v->x+xshift; y=v->y; z=v->z; IsLittleEndian? fwrite ( SwapEndian(&x, sizeof(float)), sizeof(float), 1, fp ) : fwrite ( &x, sizeof(float), 1, fp ); IsLittleEndian? fwrite ( SwapEndian(&y, sizeof(float)), sizeof(float), 1, fp ) : fwrite ( &y, sizeof(float), 1, fp ); IsLittleEndian? fwrite ( SwapEndian(&z, sizeof(float)), sizeof(float), 1, fp ) : fwrite ( &z, sizeof(float), 1, fp ); v->info = (int *) malloc(sizeof(int)); hlpPtr = (int *) v->info; // give vertex unique number; needed for triangle definition in msh format (see below) *hlpPtr = i; i++; } // write vertex numbers of triangles FOREACHTRIANGLE(t, n) { v1= *((int*) t->v1()->info); v2= *((int*) t->v2()->info); v3= *((int*) t->v3()->info); IsLittleEndian? fwrite ( SwapEndian(&v1, sizeof(int)), sizeof(int), 1, fp ) : fwrite ( &v1, sizeof(int), 1, fp ); IsLittleEndian? fwrite ( SwapEndian(&v2, sizeof(int)), sizeof(int), 1, fp ) : fwrite ( &v2, sizeof(int), 1, fp ); IsLittleEndian? fwrite ( SwapEndian(&v3, sizeof(int)), sizeof(int), 1, fp ) : fwrite ( &v3, sizeof(int), 1, fp ); } // close file and free memory of info fields fclose(fp); FOREACHVERTEX(v, n) free(v->info); return 0; } octave-iso2mesh-1.9.6+ds/meshfix/contrib/JMeshLib/src/MESH_STRUCTURE/checkAndRepair.cpp0000644001356000007640000004752013673436411027247 0ustar fangqadmin/**************************************************************************** * JMeshLib * * * * Consiglio Nazionale delle Ricerche * * Istituto di Matematica Applicata e Tecnologie Informatiche * * Sezione di Genova * * IMATI-GE / CNR * * * * Authors: Marco Attene * * * * Copyright(C) 2006: IMATI-GE / CNR * * * * All rights reserved. * * * * This program is free software; you can redistribute it and/or modify * * it under the terms of the GNU General Public License as published by * * the Free Software Foundation; either version 2 of the License, or * * (at your option) any later version. * * * * This program is distributed in the hope that it will be useful, * * but WITHOUT ANY WARRANTY; without even the implied warranty of * * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * * GNU General Public License (http://www.gnu.org/licenses/gpl.txt) * * for more details. * * * ****************************************************************************/ #include "jmesh.h" #include "jqsort.h" #include #include #include ////////////// Performs some checks and attempts to fix possible errors or degeneracies ////////////// int Triangulation::checkAndRepair() { if (mergeCoincidentEdges()) JMesh::warning("Some coincident edges have been merged.\n"); if (removeDegenerateTriangles()) JMesh::warning("Some edges have been swapped or collapsed to eliminate degenerate triangles.\n"); printReport(); return 1; } ////////////// Checks the triangulation's connectivity ////////////// // // This method should be used when implementing new algorithms to // check the consistency of the connectivity graph. Because an // inconsistent graph is not assumed by all the other methods, such // a flaw is considered critical and the program should terminate. // If connectivity is ok, NULL is returned, otherwise a string // describing the error is returned. // ///////////////////////////////////////////////////////////////////// const char *Triangulation::checkConnectivity() { Vertex *v; Edge *e,*e2; Triangle *t; Node *n,*m; List *ve; FOREACHVERTEX(v, n) { if (v == NULL) return "checkConnectivity: detected NULL element in V list!"; if (v->e0 == NULL) return "checkConnectivity: detected NULL e0 pointer for a vertex!"; if (!v->e0->hasVertex(v)) return "checkConnectivity: detected wrong e0 pointer for a vertex!"; } FOREACHEDGE(e, n) { if (e == NULL) return "checkConnectivity: detected NULL element in E list!"; if (e->v1 == NULL || e->v2 == NULL) return "checkConnectivity: detected edge with one or two NULL end-points!"; if (e->v1 == e->v2) return "checkConnectivity: detected edge with two coincident end-points!"; if (e->t1 == NULL && e->t2 == NULL) return "checkConnectivity: detected edge with no incident triangles!"; if (e->t1 != NULL) { if (!e->t1->hasEdge(e)) return "checkConnectivity: detected wrong t1 triangle at an edge"; if (e->commonVertex(e->t1->nextEdge(e)) == e->v1) return "checkConnectivity: Edge orientation does not match t1 normal"; } if (e->t2 != NULL) { if (!e->t2->hasEdge(e)) return "checkConnectivity: detected wrong t2 triangle at an edge"; if (e->commonVertex(e->t2->nextEdge(e)) == e->v2) return "checkConnectivity: Edge orientation does not match t2 normal"; } } FOREACHTRIANGLE(t, n) { if (t == NULL) return "checkConnectivity: detected NULL element in T list!"; if (t->e1 == NULL || t->e2 == NULL || t->e3 == NULL) return "checkConnectivity: detected NULL as a triangle edge!"; if (t->e1 == t->e2 || t->e1 == t->e3 || t->e2 == t->e3) return "checkConnectivity: detected triangle with two coincident edges!"; if (t->v1() == NULL || t->v2() == NULL || t->v3() == NULL) return "checkConnectivity: triangle edges do not share vertices!"; if (t->e1->t1 != t && t->e1->t2 != t) return "checkConnectivity: detected triangle with 1st edge not pointing to the triangle itself!"; if (t->e2->t1 != t && t->e2->t2 != t) return "checkConnectivity: detected triangle with 2nd edge not pointing to the triangle itself!"; if (t->e3->t1 != t && t->e3->t2 != t) return "checkConnectivity: detected triangle with 3rd edge not pointing to the triangle itself!"; } FOREACHEDGE(e, n) { ve = e->v1->VE(); FOREACHVEEDGE(ve, e2, m) { if (e2 != e && e2->oppositeVertex(e->v1) == e->v2) return "checkConnectivity: detected duplicate edge!"; } if (ve->containsNode(e) == NULL) return "checkConnectivity: detected non manifold vertex!"; delete(ve); ve = e->v2->VE(); FOREACHVEEDGE(ve, e2, m) { if (e2 != e && e2->oppositeVertex(e->v2) == e->v1) return "checkConnectivity: detected duplicate edge!"; } if (ve->containsNode(e) == NULL) return "checkConnectivity: detected non manifold vertex!"; delete(ve); } return NULL; } ////////////// Duplicate non-manifold vertices ///////////////////// // // If a vertex is topologically non-manifold, this data structure // does not guarantee its functionality. Therefore, in order to use // the same triangle mesh, this method allows to duplicate such // vertices. Notice that the data-structure cannot code non-manifold // edges. // //////////////////////////////////////////////////////////////////// int Triangulation::duplicateNonManifoldVertices() { Vertex *v; Edge *e, *f; Node *n, *m; List *ve; int dv = 0; FOREACHEDGE(e, n) { ve = e->v1->VE(); if (ve->containsNode(e) == NULL) { V.appendHead(v = new Vertex(e->v1)); FOREACHVEEDGE(ve, f, m) f->replaceVertex(e->v1, v); v->e0 = e->v1->e0; e->v1->e0 = e; dv++; } delete(ve); } FOREACHEDGE(e, n) { ve = e->v2->VE(); if (ve->containsNode(e) == NULL) { V.appendHead(v = new Vertex(e->v2)); FOREACHVEEDGE(ve, f, m) f->replaceVertex(e->v2, v); v->e0 = e->v2->e0; e->v2->e0 = e; dv++; } delete(ve); } if (dv) d_boundaries = d_handles = d_shells = 1; return dv; } ////////////// Checks the triangulation geometry ////////////// //// ////// //// Looks for coincident vertices, degenerate triangles ////// //// and overlapping triangles. ////// //// If something is wrong returns the closest vertex. ////// //// ////// /////////////////////////////////////////////////////////////// Vertex *Triangulation::checkGeometry() { int i; Vertex *ret = NULL; double ang, minda = 0; Triangle *t; Edge *e; Vertex **varr = (Vertex **)V.toArray(); Edge **evarr; Vertex *v1, *v2; Node *n; if (varr == NULL) JMesh::warning("checkGeometry: Not enough memory. Can't check for coincident vertices.\n"); else { jqsort((void **)varr, V.numels(), xyzCompare); for (i=0; i<(V.numels()-1); i++) { v1 = ((Vertex *)varr[i]); v2 = ((Vertex *)varr[i+1]); if ((*v1)==(*v2)) { ret = v1; JMesh::warning("checkGeometry: detected coincident vertices.\n"); if (v1->getEdge(v2)) { JMesh::warning(" and there is an edge connecting them!\n"); free(varr); return v1; } } } free(varr); } evarr = (Edge **)E.toArray(); if (evarr == NULL) JMesh::warning("checkGeometry: Not enough memory. Can't check for coincident edges.\n"); else { jqsort((void **)evarr, E.numels(), lexEdgeCompare); for (i=0; i<(E.numels()-1); i++) { if (!lexEdgeCompare(evarr[i], evarr[i+1])) { ret = ((Edge *)evarr[i])->v1; JMesh::warning("checkGeometry: detected coincident edges.\n"); } } free(evarr); } FOREACHTRIANGLE(t, n) { ang = t->getAngle(t->v1()); if (ang == 0 || ang == M_PI) {JMesh::warning("checkGeometry: degenerate triangle detected.\n"); return t->v1();} ang = t->getAngle(t->v2()); if (ang == 0 || ang == M_PI) {JMesh::warning("checkGeometry: degenerate triangle detected.\n"); return t->v2();} ang = t->getAngle(t->v3()); if (ang == 0 || ang == M_PI) {JMesh::warning("checkGeometry: degenerate triangle detected.\n"); return t->v3();} } ang = minda = 0; FOREACHEDGE(e, n) if (e->t1 != NULL && e->t2 != NULL && (ang = e->t1->getDAngle(e->t2)) == M_PI) {JMesh::warning("checkGeometry: overlapping triangles detected.\n"); return e->v1;} else minda = MAX(minda,ang); JMesh::info("checkGeometry: minimum dihedral angle = %f (%f DEGs)\n", M_PI-minda, ((M_PI-minda)*360)/(2*M_PI)); return ret; } ///// Merges possible coincident edges ////////// int Triangulation::mergeCoincidentEdges() { List bes; Node *n; Edge *e1, *e2; FOREACHEDGE(e1, n) if (e1->isOnBoundary()) bes.appendHead(e1); if (!bes.numels()) return 0; Edge **evarr = (Edge **)bes.toArray(); int i, ret = 0, wrn = 0; jqsort((void **)evarr, bes.numels(), lexEdgeCompare); for (i=0; i<(bes.numels()-1); i++) { e1 = evarr[i]; e2 = evarr[i+1]; if (!e2->isLinked()) evarr[i+1]=e1; else if (!lexEdgeCompare(e1, e2) && ( (((*(e1->v1))==(*(e2->v1))) && ((e1->t1 && e2->t2) || (e1->t2 && e2->t1))) || (((*(e1->v1))==(*(e2->v2))) && ((e1->t1 && e2->t1) || (e1->t2 && e2->t2))) ) ) { if (!e2->merge(e1)) wrn++; else { ret += e2->v1->zip(); ret += e2->v2->zip(); } } } free(evarr); removeEdges(); removeVertices(); if (wrn) JMesh::warning("mergeCoincidentEdges: Couldn't merge unconsistently oriented edges.\n"); if (ret) d_boundaries = d_handles = d_shells = 1; return ret; } //////// Eliminates duplicated triangles (i.e. having the same vertices) ///////// int Triangulation::removeDuplicatedTriangles() { Edge *e; Node *n; Point p; int i=0; FOREACHEDGE(e, n) if (!e->isOnBoundary() && e->t1->oppositeVertex(e) == e->t2->oppositeVertex(e)) { p = e->t2->getCenter(); splitTriangle(e->t2, &p, 1); i++; } if (i) d_boundaries = d_handles = d_shells = 1; return i; } //////// Flip or collapse edges to eliminate degenerate triangles ///////// int Triangulation::removeDegenerateTriangles() { Triangle *t; Edge *e; int collapses, swaps, degn, tcs = 0; List todo, *vt; Node *n; int i=0; do { collapses = swaps = 0; FOREACHTRIANGLE(t, n) if (t->isDegenerate()) {MARK_VISIT2(t); todo.appendHead(t);} while (todo.numels()) { i++; t = (Triangle *)todo.popHead(); UNMARK_VISIT2(t); if (t->isLinked()) { if ((e = t->isCap()) != NULL) { if (e->isOnBoundary()) {unlinkTriangle(t); collapses++;} else if (e->swap()) { if (e->t1->overlaps() || e->t2->overlaps() || e->t1->isCap() || e->t2->isCap()) e->swap(1); else { swaps++; if (!IS_VISITED2(e->t1)) {MARK_VISIT2(e->t1); todo.appendTail(e->t1);} if (!IS_VISITED2(e->t2)) {MARK_VISIT2(e->t2); todo.appendTail(e->t2);} } } } else if ((e = t->isNeedle()) != NULL) { vt = e->v2->VT(); if (e->collapse()) { collapses++; FOREACHVTTRIANGLE(vt, t, n) if (t->isLinked() && !IS_VISITED2(t)) {MARK_VISIT2(t); todo.appendTail(t);} } else if (!e->isOnBoundary() && e->oppositeTriangle(t)->oppositeVertex(e)->valence() == 3) { if (e->oppositeTriangle(t)->nextEdge(e)->collapse()) { MARK_VISIT2(t); todo.appendHead(t); t = e->oppositeTriangle(t); if (t && !IS_VISITED2(t)) {MARK_VISIT2(t); todo.appendTail(t);} collapses++; } } delete(vt); } } } if (collapses) removeUnlinkedElements(); tcs += collapses; tcs += swaps; } while (collapses+swaps); degn=0; FOREACHTRIANGLE(t, n) if (t->isDegenerate()) degn++; if (degn) { FOREACHTRIANGLE(t, n) if (t->isDegenerate()) MARK_VISIT(t); else UNMARK_VISIT(t); JMesh::warning("removeDegenerateTriangles: %d degeneracies couldn't be removed.\n",degn); JMesh::warning("removeDegenerateTriangles: and have been selected.\n"); return -tcs; } return tcs; } //// If the mesh is made of more than one connected component //// //// keep only the number_to_keep biggest ones and remove all the others. //// int Triangulation::removeSmallestComponents( unsigned number_to_keep ) { JMesh::begin_progress(); std::multimap > sizeListMap; // fill components list List *components = getComponentsList(); int nt = 0, i = 0, deletion_counter = 0, nc = components->numels(); while(List *l = (List*) components->popHead()) sizeListMap.insert(std::pair(l->numels(), l)); std::map::iterator it = sizeListMap.begin(); for(; it != sizeListMap.end(); it++) { JMesh::report_progress("%d%%", (i*100)/nc); List *l = it->second; // skip number_to_keep first elements (since they have biggest number of elements) if( i++ >= number_to_keep ) { deletion_counter++; while(Triangle *t = (Triangle*) l->popHead()) { t->unlinkEdgesWithVertices(); nt++; } } l->removeNodes(); } JMesh::report_progress(""); JMesh::end_progress(false); // if there are components that were unlinked if (nt) { d_boundaries = d_handles = d_shells = 1; removeUnlinkedElements(); JMesh::info("Removed the smallest %d of %d shells\n", deletion_counter, nc); return nt; } return 0; } //// Traverses the triangulation and inverts normals in order //// //// to make the adjacences consistent. //// int Triangulation::forceNormalConsistence() { int ret = 0; Node *n; Triangle *t; FOREACHTRIANGLE(t, n) if (!IS_VISITED2(t)) ret |= forceNormalConsistence(t); FOREACHTRIANGLE(t, n) UNMARK_VISIT2(t); return ret; } int Triangulation::forceNormalConsistence(Triangle *t0) { Node *n; Edge *e; List todo, elist; Triangle *t, *t1, *t2, *t3; int tmp1, tmp2, r=0, wrn = 0, isclosed = 1; todo.appendHead(t0); while (todo.numels()) { t = (Triangle *)todo.head()->data; todo.removeCell(todo.head()); if (!IS_VISITED2(t)) { t1 = t->t1(); t2 = t->t2(); t3 = t->t3(); if (!IS_VISITED2(t->e1)) {MARK_VISIT2(t->e1); elist.appendHead(t->e1);} if (!IS_VISITED2(t->e2)) {MARK_VISIT2(t->e2); elist.appendHead(t->e2);} if (!IS_VISITED2(t->e3)) {MARK_VISIT2(t->e3); elist.appendHead(t->e3);} if (t1 != NULL && !IS_VISITED2(t1)) {todo.appendHead(t1); if (!t->checkAdjNor(t1)) {t1->invert(); r=1;}} if (t2 != NULL && !IS_VISITED2(t2)) {todo.appendHead(t2); if (!t->checkAdjNor(t2)) {t2->invert(); r=1;}} if (t3 != NULL && !IS_VISITED2(t3)) {todo.appendHead(t3); if (!t->checkAdjNor(t3)) {t3->invert(); r=1;}} MARK_VISIT2(t); } } FOREACHVEEDGE((&(elist)), e, n) { UNMARK_VISIT2(e); if (isclosed && e->isOnBoundary()) isclosed = 0; tmp1 = (e->t1 != NULL)?((e->commonVertex(e->t1->nextEdge(e)) == e->v1)?(-1):(1)):(0); tmp2 = (e->t2 != NULL)?((e->commonVertex(e->t2->nextEdge(e)) == e->v2)?(-1):(1)):(0); if (tmp1*tmp2 < 0) { wrn++; if (tmp1 == -1) p_swap((void **)(&(e->v1)), (void **)(&(e->v2))); Edge *ne = new Edge(e->v2, e->v1); E.appendHead(ne); e->t2->replaceEdge(e, ne); ne->t2 = e->t2; e->t2 = NULL; } else if (tmp1 == -1 || tmp2 == -1) p_swap((void **)(&(e->v1)), (void **)(&(e->v2))); } if (wrn) { d_boundaries = d_handles = d_shells = 1; JMesh::warning("forceNormalConsistence: Triangulation was not orientable. Cut performed.\n"); } if (isclosed) { t = topTriangle(t0); if (t->getNormal().z < 0) {flipNormals(t0); r=1;} } return r; } // If possible, swap edges to remove overlaps. When it is not // enough, remove the overlapping triangles from the mesh. int Triangulation::removeOverlappingTriangles() { Node *n; Edge *e, *ea; List oved; FOREACHEDGE(e, n) if (!e->isOnBoundary() && e->t1->getDAngle(e->t2) == M_PI) oved.appendHead(e); oved.sort(edgeCompare); for (n=oved.tail(); n!=NULL; n=n->prev()) { e = (Edge *)n->data; if (e->t1->getDAngle(e->t2) == M_PI && e->swap()) { if (e->t1->isDegenerate() || e->t2->isDegenerate()) {e->swap(1); continue;} ea = e->t1->nextEdge(e); if (!ea->isOnBoundary() && ea->t1->getDAngle(ea->t2) == M_PI) {e->swap(1); continue;} ea = e->t1->prevEdge(e); if (!ea->isOnBoundary() && ea->t1->getDAngle(ea->t2) == M_PI) {e->swap(1); continue;} ea = e->t2->nextEdge(e); if (!ea->isOnBoundary() && ea->t1->getDAngle(ea->t2) == M_PI) {e->swap(1); continue;} ea = e->t2->prevEdge(e); if (!ea->isOnBoundary() && ea->t1->getDAngle(ea->t2) == M_PI) {e->swap(1); continue;} } } for (n=oved.tail(); n!=NULL; n=n->prev()) { e = (Edge *)n->data; if (!e->isOnBoundary() && e->t1->getDAngle(e->t2) == M_PI) { unlinkTriangle(e->t1); unlinkTriangle(e->t2); } } return removeUnlinkedElements(); // >0 if something was removed } //// Selects all the handles within a radius L //// int Triangulation::selectTinyHandles(double L) { if (shells() > 1) {JMesh::warning("Sorry. This feature was not implemented for multi-component meshes.\n"); return 1;} int bdrr, nh = 0; Triangle *t, *lt, *rt; Edge *e, *se, *le, *re, *gate = NULL; Vertex *v, *ov; Node *n, *m; FOREACHTRIANGLE(t, n) if (!t->v1()->isOnBoundary() && !t->v2()->isOnBoundary() && !t->v3()->isOnBoundary()) break; if (n==NULL) return 1; unmarkEverything(); t->mask = t->v1()->mask = t->v2()->mask = t->v3()->mask = 1; t->e1->mask = t->e2->mask = t->e3->mask = 1; List todo((gate = t->e1)); while ((gate = (Edge *)todo.popHead()) != NULL) { while(1) { bdrr = 0; t = (gate->t1 == NULL || gate->t1->mask)?((gate->t2 == NULL || gate->t2->mask)?(NULL):(gate->t2)):(gate->t1); if (t == NULL) { if (gate->t1) MARK_VISIT2(gate->t1); else MARK_VISIT2(gate->t2); nh++; break; } t->mask = 1; t->e1->mask = t->e2->mask = t->e3->mask = 1; le = t->prevEdge(gate); re = t->nextEdge(gate); lt = t->leftTriangle(gate); rt = t->rightTriangle(gate); ov = t->oppositeVertex(gate); if (lt && rt && !lt->mask && !rt->mask && !ov->mask && ov->isOnBoundary()) { bdrr = 1; e = se = ov->nextBoundaryEdge(); v = ov; do { e->mask = e->v1->mask = e->v2->mask = 1; v = e->oppositeVertex(v); e = v->nextBoundaryEdge(); } while (e != se); } if (ov->mask) { if ((!lt || lt->mask) && (!rt || rt->mask)) break; // E else if ((!lt || lt->mask)) gate = re; // L else if ((!rt || rt->mask)) gate = le; // R else {if (!bdrr) todo.appendHead(le); gate = re;} // S } else gate = re; // C t->v1()->mask = t->v2()->mask = t->v3()->mask = 1; } } nh /= 2; FOREACHTRIANGLE(t, n) UNMARK_VISIT(t); FOREACHEDGE(e, n) UNMARK_VISIT(e); FOREACHVERTEX(v, n) UNMARK_VISIT(v); Point center; Triangulation *stin; int sh=0; FOREACHTRIANGLE(t, n) if (IS_VISITED2(t)) { center = t->getCenter(); selectSphericalRegion(t, L, ¢er); } FOREACHTRIANGLE(t, n) if (IS_VISITED2(t)) { UNMARK_VISIT2(t); if ((stin = createSubMeshFromSelection(t)) != NULL) { if (stin->handles() < 1) invertSelection(t); else { sh += stin->handles(); FOREACHVTTRIANGLE((&(stin->T)), lt, m) {rt = (Triangle *)lt->info; UNMARK_VISIT2(rt);} } delete(stin); } } JMesh::info("Selected %d out of %d handles\n",sh,nh); JMesh::info("Radius: %f\n",L); return 0; } octave-iso2mesh-1.9.6+ds/meshfix/contrib/JMeshLib/src/PRIMITIVES/0000755001356000007640000000000013673436411023147 5ustar fangqadminoctave-iso2mesh-1.9.6+ds/meshfix/contrib/JMeshLib/src/PRIMITIVES/heap.cpp0000644001356000007640000000672313673436411024600 0ustar fangqadmin/**************************************************************************** * JMeshLib * * * * Consiglio Nazionale delle Ricerche * * Istituto di Matematica Applicata e Tecnologie Informatiche * * Sezione di Genova * * IMATI-GE / CNR * * * * Authors: Marco Attene * * * * Copyright(C) 2006: IMATI-GE / CNR * * * * All rights reserved. * * * * This program is free software; you can redistribute it and/or modify * * it under the terms of the GNU General Public License as published by * * the Free Software Foundation; either version 2 of the License, or * * (at your option) any later version. * * * * This program is distributed in the hope that it will be useful, * * but WITHOUT ANY WARRANTY; without even the implied warranty of * * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * * GNU General Public License (http://www.gnu.org/licenses/gpl.txt) * * for more details. * * * ****************************************************************************/ #include #include #include "heap.h" abstractHeap::abstractHeap(int size) { heap = new void *[size+1]; numels = 0; maxels = size; positions = NULL; } abstractHeap::~abstractHeap() { delete(heap); } int abstractHeap::upheap(int k) { if (k < 2) return k; void *t = heap[k]; int fk = (k%2)?((k-1)/2):(k/2); void *f = heap[fk]; if (compare(t, f) <= 0) { heap[k] = f; heap[fk] = t; if (positions != NULL) { positions[(j_voidint)f] = k; positions[(j_voidint)t] = fk; } return upheap(fk); } return k; } int abstractHeap::downheap(int k) { int j; void *t = heap[k]; int fk = (numels%2)?((numels-1)/2):(numels/2); if (k > fk) return k; j = k+k; if (j < numels && compare(heap[j], heap[j+1]) >= 0) j++; void *f = heap[j]; if (compare(t, f) >= 0) { heap[k] = f; heap[j] = t; if (positions != NULL) { positions[(j_voidint)f] = k; positions[(j_voidint)t] = j; } return downheap(j); } return k; } int abstractHeap::insert(void *t) { if (numels == maxels) return -1; heap[++numels] = t; if (positions != NULL) positions[(j_voidint)t] = numels; return upheap(numels); } void *abstractHeap::removeHead() { void *t = heap[1]; if (positions != NULL) positions[(j_voidint)t] = 0; heap[1] = heap[numels--]; if (numels) { if (positions != NULL) positions[(j_voidint)heap[1]] = 1; downheap(1); } return t; } octave-iso2mesh-1.9.6+ds/meshfix/contrib/JMeshLib/src/PRIMITIVES/jqsort.cpp0000644001356000007640000000516013673436411025177 0ustar fangqadmin/**************************************************************************** * JMeshLib * * * * Consiglio Nazionale delle Ricerche * * Istituto di Matematica Applicata e Tecnologie Informatiche * * Sezione di Genova * * IMATI-GE / CNR * * * * Authors: Marco Attene * * * * Copyright(C) 2006: IMATI-GE / CNR * * * * All rights reserved. * * * * This program is free software; you can redistribute it and/or modify * * it under the terms of the GNU General Public License as published by * * the Free Software Foundation; either version 2 of the License, or * * (at your option) any later version. * * * * This program is distributed in the hope that it will be useful, * * but WITHOUT ANY WARRANTY; without even the implied warranty of * * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * * GNU General Public License (http://www.gnu.org/licenses/gpl.txt) * * for more details. * * * ****************************************************************************/ ///// Jaiko's quicksort inline void jswap(void *v[], int i, int j) { void *temp = v[i]; v[i] = v[j]; v[j] = temp; } void jqsort_prv(void *v[], int left, int right, int (*comp)(const void *, const void *)) { register int i, last; if (left >= right) return; jswap(v, left, (left+right)/2); last = left; for (i = left+1; i <= right; i++) if ((*comp)(v[i], v[left]) < 0) jswap(v, ++last, i); jswap(v, left, last); jqsort_prv(v, left, last-1, comp); jqsort_prv(v, last+1, right, comp); } void jqsort(void *v[], int numels, int (*comp)(const void *, const void *)) { jqsort_prv(v, 0, numels-1, comp); } octave-iso2mesh-1.9.6+ds/meshfix/contrib/JMeshLib/src/PRIMITIVES/list.cpp0000644001356000007640000001546413673436411024640 0ustar fangqadmin/**************************************************************************** * JMeshLib * * * * Consiglio Nazionale delle Ricerche * * Istituto di Matematica Applicata e Tecnologie Informatiche * * Sezione di Genova * * IMATI-GE / CNR * * * * Authors: Marco Attene * * * * Copyright(C) 2006: IMATI-GE / CNR * * * * All rights reserved. * * * * This program is free software; you can redistribute it and/or modify * * it under the terms of the GNU General Public License as published by * * the Free Software Foundation; either version 2 of the License, or * * (at your option) any later version. * * * * This program is distributed in the hope that it will be useful, * * but WITHOUT ANY WARRANTY; without even the implied warranty of * * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * * GNU General Public License (http://www.gnu.org/licenses/gpl.txt) * * for more details. * * * ****************************************************************************/ #include #include #include "list.h" #include "jqsort.h" // Create a new node containing 'd', and link it to // // 'p' on the left (prev) and to 'n' on the right (next). // Node::Node(const Node *p, const void *d, const Node *n) { data=(void *)d; if ((n_prev=(Node *)p) != NULL) n_prev->n_next = this; if ((n_next=(Node *)n) != NULL) n_next->n_prev = this; } // Destroy and unlink the node Node::~Node() { if (n_prev != NULL) n_prev->n_next = n_next; if (n_next != NULL) n_next->n_prev = n_prev; } /////////// Constructor from list /////////////////// List::List(const void **d, int n) { l_head = l_tail = NULL; l_numels = 0; for (int i=0; il_tail; while (n != NULL) { appendHead(n->data); n=n->prev(); } } ////////////////// Joins a list to the l_tail ////////////////// void List::joinTailList(List *l) { if (l->l_numels == 0) return; if (l_tail != NULL) { l_tail->n_next = l->l_head; l->l_head->n_prev = l_tail; l_tail = l->l_tail; l_numels += l->l_numels; } else { l_head = l->l_head; l_tail = l->l_tail; l_numels = l->l_numels; } l->l_head = l->l_tail = NULL; l->l_numels = 0; } void List::joinHeadList(List *l) { l->joinTailList(this); this->joinTailList(l); } //// Removes the first node and returns the corresponding data ///// void *List::popHead() { void *data = (l_head != NULL)?(l_head->data):(NULL); if (l_head != NULL) removeCell(l_head); return data; } //// Removes the last node and returns the corresponding data ///// void *List::popTail() { void *data = (l_tail != NULL)?(l_tail->data):(NULL); if (l_tail != NULL) removeCell(l_tail); return data; } //////////////////// Removes an element ////////////////// int List::removeNode(const void *d) { Node *tmp = l_head; int i=1; while (tmp != NULL) if (tmp->data == d) { removeCell(tmp); return i; } else {tmp=tmp->n_next; i++;} return 0; } //////////////////// Removes an element ////////////////// int List::removeNode(int i) { Node *tmp = l_head; while (tmp!=NULL && i--) tmp=tmp->n_next; if (tmp==NULL) return 0; removeCell(tmp); return 1; } //////////////////// Gets a node ////////////////// Node *List::getNode(int i) const { Node *tmp = l_head; while (tmp!=NULL && i--) tmp=tmp->n_next; return tmp; } //////////////////// Removes a node ////////////////// void List::removeCell(Node *n) { if (n==l_head) l_head = n->n_next; if (n==l_tail) l_tail = n->n_prev; delete(n); l_numels--; } ////////////////// Garbage collection ////////////// void List::freeCell(Node *n) { free(n->data); removeCell(n); } void List::freeNode(void *d) { free(d); removeNode(d); } //////////////////// Belonging check ///////////////// Node *List::containsNode(const void *d) const { Node *tmp = l_head; while (tmp != NULL) if (tmp->data == d) return tmp; else tmp=tmp->n_next; return NULL; } //////////////////// Replaces a node ///////////////// Node *List::replaceNode(const void *od, const void *nd) { Node *tmp = containsNode(od); if (tmp != NULL) {tmp->data = (void *)nd; return tmp;} appendTail(nd); return l_tail; } //////////////////////// Garbage collector ///////////////////// void List::freeNodes() { while (l_head != NULL) freeCell(l_head); } //////////////////////// Garbage collector ///////////////////// void List::removeNodes() { while (l_head != NULL) removeCell(l_head); } ///// Conversion to array /////// void **List::toArray() const { Node *n = l_head; int i; void **array; if (l_numels == 0) return NULL; array = (void **)malloc(sizeof(void *)*l_numels); if (array == NULL) return NULL; for (i=0; in_next) array[i] = n->data; return array; } ///// Sorts the list ///////// int List::sort(int (*comp)(const void *, const void *)) { void **array; int ne = l_numels-1; if (l_numels < 2) return 0; if ((array = toArray()) == NULL) return 1; jqsort(array, l_numels, comp); removeNodes(); for (; ne >= 0; ne--) appendHead(array[ne]); free(array); return 0; } octave-iso2mesh-1.9.6+ds/meshfix/contrib/JMeshLib/src/PRIMITIVES/graph.cpp0000644001356000007640000001002613673436411024753 0ustar fangqadmin/**************************************************************************** * JMeshLib * * * * Consiglio Nazionale delle Ricerche * * Istituto di Matematica Applicata e Tecnologie Informatiche * * Sezione di Genova * * IMATI-GE / CNR * * * * Authors: Marco Attene * * * * Copyright(C) 2006: IMATI-GE / CNR * * * * All rights reserved. * * * * This program is free software; you can redistribute it and/or modify * * it under the terms of the GNU General Public License as published by * * the Free Software Foundation; either version 2 of the License, or * * (at your option) any later version. * * * * This program is distributed in the hope that it will be useful, * * but WITHOUT ANY WARRANTY; without even the implied warranty of * * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * * GNU General Public License (http://www.gnu.org/licenses/gpl.txt) * * for more details. * * * ****************************************************************************/ #include "graph.h" graphEdge *graphNode::getEdge(graphNode *gn) { Node *n = edges.containsNode(gn); if (n != NULL) return (graphEdge *)n->data; return NULL; } graphEdge::graphEdge(graphNode *a, graphNode *b) { n1=a; n2=b; n1->edges.appendHead(this); n2->edges.appendHead(this); } graphEdge *Graph::createEdge(graphNode *n1, graphNode *n2) { Node *n; FOREACHNODE(n1->edges, n) if (((graphEdge *)n->data)->hasNode(n2)) return (graphEdge *)n->data; edges.appendHead(new graphEdge(n1, n2)); return (graphEdge *)edges.head()->data; } void graphEdge::collapse() { Node *n; graphEdge *e; graphNode *nx; while ((e = (graphEdge *)n2->edges.popHead()) != NULL) if (e != this) { ((e->n1 == n2)?(e->n1):(e->n2)) = n1; n1->edges.appendHead(e); } FOREACHNODE(n1->edges, n) { e = (graphEdge *)n->data; if (!e->isUnlinked()) e->oppositeNode(n1)->mask = 0; } n2->mask = 1; FOREACHNODE(n1->edges, n) { e = (graphEdge *)n->data; if (e != this) { nx = e->oppositeNode(n1); if (nx->mask) {nx->edges.removeNode(e); e->makeUnlinked();} nx->mask = 1; } } n = n1->edges.head(); while (n != NULL) { e = (graphEdge *)n->data; n = n->next(); if (e->isUnlinked()) n1->edges.removeCell((n!=NULL)?(n->prev()):n1->edges.tail()); } FOREACHNODE(n1->edges, n) ((graphEdge *)n->data)->oppositeNode(n1)->mask = 0; n1->edges.removeNode(this); makeUnlinked(); } Graph::~Graph() { graphNode *gn; graphEdge *ge; while ((gn=(graphNode *)nodes.popHead())!=NULL) delete gn; while ((ge=(graphEdge *)edges.popHead())!=NULL) delete ge; } void Graph::deleteUnlinkedElements() { Node *n; graphNode *gn; graphEdge *ge; n = nodes.head(); while (n != NULL) { gn = (graphNode *)n->data; n = n->next(); if (gn->isIsolated()) { nodes.removeCell((n!=NULL)?(n->prev()):nodes.tail()); delete(gn); } } n = edges.head(); while (n != NULL) { ge = (graphEdge *)n->data; n = n->next(); if (ge->isUnlinked()) { edges.removeCell((n!=NULL)?(n->prev()):edges.tail()); delete(ge); } } } octave-iso2mesh-1.9.6+ds/meshfix/contrib/JMeshLib/src/PRIMITIVES/clusterGraph.cpp0000644001356000007640000000653713673436411026331 0ustar fangqadmin/**************************************************************************** * JMeshLib * * * * Consiglio Nazionale delle Ricerche * * Istituto di Matematica Applicata e Tecnologie Informatiche * * Sezione di Genova * * IMATI-GE / CNR * * * * Authors: Marco Attene * * * * Copyright(C) 2006: IMATI-GE / CNR * * * * All rights reserved. * * * * This program is free software; you can redistribute it and/or modify * * it under the terms of the GNU General Public License as published by * * the Free Software Foundation; either version 2 of the License, or * * (at your option) any later version. * * * * This program is distributed in the hope that it will be useful, * * but WITHOUT ANY WARRANTY; without even the implied warranty of * * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * * GNU General Public License (http://www.gnu.org/licenses/gpl.txt) * * for more details. * * * ****************************************************************************/ #include "clusterGraph.h" int clusterHeap::compare(const void *e1, const void *e2) { clusterEdge *a = edges[(j_voidint)e1]; clusterEdge *b = edges[(j_voidint)e2]; double l1 = a->cost; double l2 = b->cost; if (l1 < l2) return -1; if (l1 > l2) return 1; return 0; } clusterEdge *clusterGraph::createEdge(graphNode *n1, graphNode *n2) { Node *n; FOREACHNODE(n1->edges, n) if (((clusterEdge *)n->data)->hasNode(n2)) return (clusterEdge *)n->data; if (curEdgeIndex >= maxNumEdges) return NULL; clusterEdge *ne = new clusterEdge(n1, n2, curEdgeIndex); edges.appendHead(ne); ces[curEdgeIndex] = ne; ne->cost = costFunction(ne->n1, ne->n2); ch->update(ne); curEdgeIndex++; return ne; } clusterEdge *clusterGraph::getFirstEdge() { while (!ch->isEmpty() && ch->getFirst()->isUnlinked()) ch->popHead(); return ch->getFirst(); } int clusterGraph::collapseFirstEdge(void (*mergenodes)(const void *, const void *)) { clusterEdge *e; while ((e=ch->popHead())!=NULL) if (!e->isUnlinked()) break; if (e==NULL) return 0; if (mergenodes != NULL) mergenodes(e->n1, e->n2); graphNode *gn = e->n1; e->collapse(); Node *n; clusterEdge *ne; FOREACHNODE(gn->edges, n) { ne = (clusterEdge *)n->data; ne->cost = costFunction(ne->n1, ne->n2); ch->update(ne); } return 1; } octave-iso2mesh-1.9.6+ds/meshfix/contrib/JMeshLib/src/PRIMITIVES/binTree.cpp0000644001356000007640000000460713673436411025252 0ustar fangqadmin/**************************************************************************** * JMeshLib * * * * Consiglio Nazionale delle Ricerche * * Istituto di Matematica Applicata e Tecnologie Informatiche * * Sezione di Genova * * IMATI-GE / CNR * * * * Authors: Marco Attene * * * * Copyright(C) 2006: IMATI-GE / CNR * * * * All rights reserved. * * * * This program is free software; you can redistribute it and/or modify * * it under the terms of the GNU General Public License as published by * * the Free Software Foundation; either version 2 of the License, or * * (at your option) any later version. * * * * This program is distributed in the hope that it will be useful, * * but WITHOUT ANY WARRANTY; without even the implied warranty of * * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * * GNU General Public License (http://www.gnu.org/licenses/gpl.txt) * * for more details. * * * ****************************************************************************/ #include #include "binTree.h" // Look at binTree.h for more comments binTree::binTree(void *d) { data = d; parent = left = right = NULL; } binTree::binTree(void *d, binTree *l, binTree *r) { data = d; parent = NULL; left = l; right = r; l->parent = r->parent = this; } binTree::~binTree() { if (left != NULL) delete(left); if (right != NULL) delete(right); } octave-iso2mesh-1.9.6+ds/meshfix/contrib/JMeshLib/src/PRIMITIVES/matrix.cpp0000644001356000007640000005340013673436411025161 0ustar fangqadmin/**************************************************************************** * JMeshLib * * * * Consiglio Nazionale delle Ricerche * * Istituto di Matematica Applicata e Tecnologie Informatiche * * Sezione di Genova * * IMATI-GE / CNR * * * * Authors: Marco Attene * * * * Copyright(C) 2006: IMATI-GE / CNR * * * * All rights reserved. * * * * This program is free software; you can redistribute it and/or modify * * it under the terms of the GNU General Public License as published by * * the Free Software Foundation; either version 2 of the License, or * * (at your option) any later version. * * * * This program is distributed in the hope that it will be useful, * * but WITHOUT ANY WARRANTY; without even the implied warranty of * * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * * GNU General Public License (http://www.gnu.org/licenses/gpl.txt) * * for more details. * * * ****************************************************************************/ #include #include "matrix.h" #define FABS(a) (((a)<0)?(-(a)):((a))) ////////////////////////////////////////////////////////////////////////// // // Generic 3x3 matrix // ////////////////////////////////////////////////////////////////////////// // Plain constructor Matrix3x3::Matrix3x3(const double& a11, const double& a12, const double& a13, const double& a21, const double& a22, const double& a23, const double& a31, const double& a32, const double& a33) { M[0] = a11; M[1] = a12; M[2] = a13; M[3] = a21; M[4] = a22; M[5] = a23; M[6] = a31; M[7] = a32; M[8] = a33; } // Matrix T(v1,v2,v3)*(w1,w2,w3). Matrix3x3::Matrix3x3(const double& v1, const double& v2, const double& v3, const double& w1, const double& w2, const double& w3) { M[0] = v1*w1; M[1] = v1*w2; M[2] = v1*w3; M[3] = v2*w1; M[4] = v2*w2; M[5] = v2*w3; M[6] = v3*w1; M[7] = v3*w2; M[8] = v3*w3; } // Symmetric matrix T(x,y,z)*(x,y,z) Matrix3x3::Matrix3x3(const double& x, const double& y, const double& z) { M[0] = x*x; M[1] = x*y; M[2] = x*z; M[3] = M[1]; M[4] = y*y; M[5] = y*z; M[6] = M[2]; M[7] = M[5]; M[8] = z*z; } // Self-sum void Matrix3x3::operator+=(const Matrix3x3& s) { M[0] += s.M[0]; M[1] += s.M[1]; M[2] += s.M[2]; M[3] += s.M[3]; M[4] += s.M[4]; M[5] += s.M[5]; M[6] += s.M[6]; M[7] += s.M[7]; M[8] += s.M[8]; } // Self-subtraction void Matrix3x3::operator-=(const Matrix3x3& s) { M[0] -= s.M[0]; M[1] -= s.M[1]; M[2] -= s.M[2]; M[3] -= s.M[3]; M[4] -= s.M[4]; M[5] -= s.M[5]; M[6] -= s.M[6]; M[7] -= s.M[7]; M[8] -= s.M[8]; } // Self-multiplication void Matrix3x3::operator*=(const double& d) { M[0] *= d; M[1] *= d; M[2] *= d; M[3] *= d; M[4] *= d; M[5] *= d; M[6] *= d; M[7] *= d; M[8] *= d; } // Sum Matrix3x3 Matrix3x3::operator+(const Matrix3x3& s) const { return Matrix3x3(M[0]+s.M[0], M[1]+s.M[1], M[2]+s.M[2], M[3]+s.M[3], M[4]+s.M[4], M[5]+s.M[5], M[6]+s.M[6], M[7]+s.M[7], M[8]+s.M[8]); } // Scalar Multiplication Matrix3x3 Matrix3x3::operator*(const double& d) const { return Matrix3x3(M[0]*d, M[1]*d, M[2]*d, M[3]*d, M[4]*d, M[5]*d, M[6]*d, M[7]*d, M[8]*d); } // Matrix multiplication Matrix3x3 Matrix3x3::operator*(const Matrix3x3& q) const { return Matrix3x3( M[0]*q.M[0]+M[1]*q.M[3]+M[2]*q.M[6], M[0]*q.M[1]+M[1]*q.M[4]+M[2]*q.M[7], M[0]*q.M[2]+M[1]*q.M[5]+M[2]*q.M[8], M[3]*q.M[0]+M[4]*q.M[3]+M[5]*q.M[6], M[3]*q.M[1]+M[4]*q.M[4]+M[5]*q.M[7], M[3]*q.M[2]+M[4]*q.M[5]+M[5]*q.M[8], M[6]*q.M[0]+M[7]*q.M[3]+M[8]*q.M[6], M[6]*q.M[1]+M[7]*q.M[4]+M[8]*q.M[7], M[6]*q.M[2]+M[7]*q.M[5]+M[8]*q.M[8] ); } // Matrix transpose Matrix3x3 Matrix3x3::operator~() const { return Matrix3x3(M[0],M[3],M[6],M[1],M[4],M[7],M[2],M[5],M[8]); } // Computes (x,y,z)*M*(x,y,z) double Matrix3x3::lrMultiply(const double& x, const double& y, const double& z) const { return (x*(x*M[0] + y*M[3] + z*M[6]) + y*(x*M[1] + y*M[4] + z*M[7]) + z*(x*M[2] + y*M[5] + z*M[8])); } // Computes v*M*w double Matrix3x3::lrMultiply(const double& v1, const double& v2, const double& v3, const double& w1, const double& w2, const double& w3) const { return (w1*(v1*M[0] + v2*M[3] + v3*M[6]) + w2*(v1*M[1] + v2*M[4] + v3*M[7]) + w3*(v1*M[2] + v2*M[5] + v3*M[8])); } Matrix3x3 Matrix3x3::transpose() const { return Matrix3x3(M[0], M[3], M[6], M[1], M[4], M[7], M[2], M[5], M[8]); } ////////////////////////////////////////////////////////////////////////// // // Symmetric 3x3 matrix // ////////////////////////////////////////////////////////////////////////// // Plain constructor SymMatrix3x3::SymMatrix3x3(const double&a11, const double&a12, const double&a22, const double&a13, const double&a23, const double&a33) { M[0] = a11; M[1] = a12; M[3] = a13; M[2] = a22; M[4] = a23; M[5] = a33; } // Symmetric matrix T(x,y,z)*(x,y,z) SymMatrix3x3::SymMatrix3x3(const double& x, const double& y, const double& z) { M[0] = x*x; M[1] = x*y; M[3] = x*z; M[2] = y*y; M[4] = y*z; M[5] = z*z; } // Constructor from generic matrix SymMatrix3x3::SymMatrix3x3(const Matrix3x3& q) { M[0] = q.M[0]; M[1] = q.M[1]; M[3] = q.M[2]; M[2] = q.M[4]; M[4] = q.M[5]; M[5] = q.M[8]; } // Self-sum void SymMatrix3x3::operator+=(const SymMatrix3x3& s) { M[0] += s.M[0]; M[1] += s.M[1]; M[2] += s.M[2]; M[3] += s.M[3]; M[4] += s.M[4]; M[5] += s.M[5]; } // Self-subtraction void SymMatrix3x3::operator-=(const SymMatrix3x3& s) { M[0] -= s.M[0]; M[1] -= s.M[1]; M[2] -= s.M[2]; M[3] -= s.M[3]; M[4] -= s.M[4]; M[5] -= s.M[5]; } // Self-multiplication void SymMatrix3x3::operator*=(const double& d) { M[0] *= d; M[1] *= d; M[2] *= d; M[3] *= d; M[4] *= d; M[5] *= d; } // Sum SymMatrix3x3 SymMatrix3x3::operator+(const SymMatrix3x3& s) const { return SymMatrix3x3(M[0]+s.M[0], M[1]+s.M[1], M[2]+s.M[2], M[3]+s.M[3], M[4]+s.M[4], M[5]+s.M[5]); } // Multiplication SymMatrix3x3 SymMatrix3x3::operator*(const double& d) const { return SymMatrix3x3(M[0]*d, M[1]*d, M[2]*d, M[3]*d, M[4]*d, M[5]*d); } // Computes (x,y,z)*M*(x,y,z) double SymMatrix3x3::lrMultiply(const double& x, const double& y, const double& z) const { double a,b,c; a = x*M[0] + y*M[1] + z*M[3]; b = x*M[1] + y*M[2] + z*M[4]; c = x*M[3] + y*M[4] + z*M[5]; return (x*a + y*b + z*c); } // Computes v*M*w double SymMatrix3x3::lrMultiply(const double& v1, const double& v2, const double& v3, const double& w1, const double& w2, const double& w3) const { return (w1*(v1*M[0] + v2*M[1] + v3*M[3]) + w2*(v1*M[1] + v2*M[2] + v3*M[4]) + w3*(v1*M[3] + v2*M[4] + v3*M[5])); } // Invert the matrix. If singular return FALSE bool SymMatrix3x3::invert() { double det, pos, neg, t, out[6]; pos = neg = 0.0; t = M[0]*M[2]*M[5]; ((t >= 0.0)?(pos):(neg)) += t; t = M[1]*M[4]*M[3]; ((t >= 0.0)?(pos):(neg)) += t; t = M[3]*M[1]*M[4]; ((t >= 0.0)?(pos):(neg)) += t; t = -M[3]*M[2]*M[3]; ((t >= 0.0)?(pos):(neg)) += t; t = -M[1]*M[1]*M[5]; ((t >= 0.0)?(pos):(neg)) += t; t = -M[0]*M[4]*M[4]; ((t >= 0.0)?(pos):(neg)) += t; det = pos+neg; t = det/(pos-neg); if (FABS(t) >= 1.0e-15) { out[0] = (M[2] * M[5] - M[4] * M[4]) /det; out[1] = -(M[1] * M[5] - M[4] * M[3]) /det; out[2] = (M[0] * M[5] - M[3] * M[3]) /det; out[3] = (M[1] * M[4] - M[2] * M[3]) /det; out[4] = -(M[0] * M[4] - M[1] * M[3]) /det; out[5] = (M[0] * M[2] - M[1] * M[1]) /det; M[0] = out[0]; M[1] = out[1]; M[2] = out[2]; M[3] = out[3]; M[4] = out[4]; M[5] = out[5]; return 1; } return 0; } // Compute eigenvalues and eigenvectors of the matrix (JACOBI method). // The calling function is responsible of verifying that the matrix // is diagonalizable. // // This routine was inspired from a software to estimate curvature // tensors developed at INRIA. Visit the following link for details: // http://www-sop.inria.fr/geometrica/team/Pierre.Alliez/demos/curvature/ // // This version has been slightly optimized. // void SymMatrix3x3::diagonalize(double *eigen_val, double *eigen_vec) const { static const double EPS = 0.00001; static const double cos_pi_4 = 0.70710678; static const int MAX_ITER = 100; double a_P[6], v_P[9]; double *a = a_P, *v = v_P; double a_norm,a_normEPS,thr,thr_nn; int nb_iter = 0; int i,j,k,ij,jj,ik,l,m,lm,mq,lq,ll,mm,imv,im,iq,ilv,il; int index_P[3]; int *index = index_P; double a_ij,a_lm,a_ll,a_mm,a_im,a_il,a_lm_2,v_ilv,v_imv,x; double sinx,sinx_2,cosx,cosx_2,sincos,delta; a[0] = M[0]; a[1] = M[1]; a[2] = M[2]; a[3] = M[3]; a[4] = M[4]; a[5] = M[5]; a--; // Step 2 : Init diagonalization matrix as the unit matrix for (ij=0, i=0; i<3; i++) for (j=0; j<3; j++) v[ij++] = (i==j)?(1.0):(0.0); v--; // Step 3 : compute the weight of the non diagonal terms a_norm = 0.0; for (i=1, ij=1; i<=3; i++) for (j=1; j<=i; j++, ij++) if( i!=j ) {a_ij = a[ij]; a_norm += a_ij*a_ij;} if( a_norm != 0.0 ) { a_normEPS = a_norm*EPS; thr = a_norm ; // Step 4 : rotations while (thr > a_normEPS && nb_iter < MAX_ITER) { nb_iter++; thr_nn = thr / 6; for (l=1; l<3; l++) for (m=l+1; m<=3; m++) { // compute sinx and cosx lq = (l*l-l)/2; mq = (m*m-m)/2; lm = l+mq; a_lm = a[lm]; a_lm_2 = a_lm*a_lm; if( a_lm_2 < thr_nn ) continue; ll = l+lq; mm = m+mq; a_ll = a[ll]; a_mm = a[mm]; delta = a_ll - a_mm; if (delta==0.0) {sinx = -cos_pi_4; cosx = cos_pi_4;} else {x = -atan( (a_lm+a_lm) / delta )/2.0; sinx=sin(x); cosx=cos(x);} sinx_2 = sinx*sinx; cosx_2 = cosx*cosx; sincos = sinx*cosx; // rotate L and M columns ilv = 3*(l-1); imv = 3*(m-1); for( i=1; i<=3;i++ ) { if( (i!=l) && (i!=m) ) { iq = (i*i-i)/2; im = (i1.0e-12) {*L1 = *L2 = *L3 = a11; return;} // Evecs = (1,0,0), (0,1,0), (0,0,1) double l1, l2, l3; // Eigenvalues to be computed if (Q>=0) {double p=(b>0)?(pow(b/2, 1.0/3.0)):(0); l1=l2=((c2/3.0)+p); l3=((c2/3.0)-2.0*p);} else { double t = atan2(sqrt(-Q), -b/2.0)/3.0, r = pow(((b*b)/4.0)-Q, 1.0/6.0); double cos_t = cos(t), sin_t = sin(t); const double sq3 = sqrt(3.0); l1 = l2 = l3 = (c2/3.0); l1 += (2*r*cos_t); l2 -= r*(cos_t+sq3*sin_t); l3 -= r*(cos_t-sq3*sin_t); } if (l1<=l2 && l1<=l3) {*L1=l1; *L2=(l2=l2 && l1>=l3) {c0=u11; c1=u12; c2=u13; l=l1;} else if (l2>=l1 && l2>=l3) {c0=u12; c1=u22; c2=u23; l=l2;} else {c0=u13; c1=u23; c2=u33; l=l3;} l = sqrt(l); *x = c0/l; *y = c1/l; *z = c2/l; } // Computes the eigenvector corresp. to the maximum eigenvalue void SymMatrix3x3::getMaxEigenvector(double *x, double *y, double *z) const { SymMatrix3x3(-M[0], -M[1], -M[2], -M[3], -M[4], -M[5]).getMinEigenvector(x, y, z); } // Prints the matrix values void SymMatrix3x3::print(FILE *fp) const { fprintf(fp,"%e %e %e\n",M[0],M[1],M[3]); fprintf(fp,"%e %e %e\n",M[1],M[2],M[4]); fprintf(fp,"%e %e %e\n",M[3],M[4],M[5]); } ////////////////////////////////////////////////////////////////////////// // // Symmetric 4x4 matrix // ////////////////////////////////////////////////////////////////////////// // Extend a 3x3 matrix SymMatrix4x4::SymMatrix4x4(const SymMatrix3x3& q) { a2 = q.M[0]; ab = q.M[1]; ac = q.M[3]; ad = 0; b2 = q.M[2]; bc = q.M[4]; bd = 0; c2 = q.M[5]; cd = 0; d2 = 1; } // Build a quadric SymMatrix4x4::SymMatrix4x4(const double& a, const double& b, const double& c, const double& d) { a2 = a*a; ab = a*b; ac = a*c; ad = a*d; b2 = b*b; bc = b*c; bd = b*d; c2 = c*c; cd = c*d; d2 = d*d; } // True iff equal bool SymMatrix4x4::operator==(const SymMatrix4x4& q) { return ( a2 == q.a2 && ab == q.ab && ac == q.ac && ad == q.ad &&\ b2 == q.b2 && bc == q.bc && bd == q.bd &&\ c2 == q.c2 && cd == q.cd && d2 == q.d2); } // True iff different bool SymMatrix4x4::operator!=(const SymMatrix4x4& q) { return ( a2 != q.a2 || ab != q.ab || ac != q.ac || ad != q.ad ||\ b2 != q.b2 || bc != q.bc || bd != q.bd ||\ c2 != q.c2 || cd != q.cd || d2 != q.d2); } // Sum the matrix 'q' to the current matrix void SymMatrix4x4::operator+=(const SymMatrix4x4& q) { a2 += q.a2; ab += q.ab; ac += q.ac; ad += q.ad; b2 += q.b2; bc += q.bc; bd += q.bd; c2 += q.c2; cd += q.cd; d2 += q.d2; } // Returns the sum of the matrix with another matrix 'q' SymMatrix4x4 SymMatrix4x4::operator+(const SymMatrix4x4& q) const { SymMatrix4x4 n; n.a2=a2+q.a2; n.ab=ab+q.ab; n.ac=ac+q.ac; n.ad=ad+q.ad; n.b2=b2+q.b2; n.bc=bc+q.bc; n.bd=bd+q.bd; n.c2=c2+q.c2; n.cd=cd+q.cd; n.d2=d2+q.d2; return n; } // Returns the product of the matrix with a scalar SymMatrix4x4 SymMatrix4x4::operator*(const double& d) const { SymMatrix4x4 n; n.a2=a2*d; n.ab=ab*d; n.ac=ac*d; n.ad=ad*d; n.b2=b2*d; n.bc=bc*d; n.bd=bd*d; n.c2=c2*d; n.cd=cd*d; n.d2=d2*d; return n; } void SymMatrix4x4::add(const double& a, const double& b, const double& c, const double& d) { a2 += a*a; ab += a*b; ac += a*c; ad += a*d; b2 += b*b; bc += b*c; bd += b*d; c2 += c*c; cd += c*d; d2 += d*d; } // Computes (a,b,c,w)*M*(a,b,c,w) double SymMatrix4x4::lrMultiply(const double& x, const double& y, const double& z, const double& w) const { double a,b,c,d; a = x*a2 + y*ab + z*ac + w*ad; b = x*ab + y*b2 + z*bc + w*bd; c = x*ac + y*bc + z*c2 + w*cd; d = x*ad + y*bd + z*cd + w*d2; return (x*a + y*b + z*c + w*d); } // Computes (a,b,c) s.t. (a,b,c,1)*M*(a,b,c,1) is minimized // Returns FALSE if the minimizer is not unique bool SymMatrix4x4::getMinimizer(double *a, double *b, double *c) const { double det, pos, neg, t; pos = neg = 0.0; t = a2*b2*c2; ((t >= 0.0)?(pos):(neg)) += t; t = ab*bc*ac; ((t >= 0.0)?(pos):(neg)) += t; t = ac*ab*bc; ((t >= 0.0)?(pos):(neg)) += t; t = -ac*b2*ac; ((t >= 0.0)?(pos):(neg)) += t; t = -ab*ab*c2; ((t >= 0.0)?(pos):(neg)) += t; t = -a2*bc*bc; ((t >= 0.0)?(pos):(neg)) += t; det = pos+neg; t = det/(pos-neg); if (FABS(t) >= 1.0e-15) { *a = -(ad*( (b2*c2 - bc*bc)) + bd*(-(ab*c2 - bc*ac)) + cd*( (ab*bc - b2*ac)))/det; *b = -(ad*(-(ab*c2 - ac*bc)) + bd*( (a2*c2 - ac*ac)) + cd*(-(a2*bc - ab*ac)))/det; *c = -(ad*( (ab*bc - ac*b2)) + bd*(-(a2*bc - ac*ab)) + cd*( (a2*b2 - ab*ab)))/det; return 1; } return 0; } // Invert a symmetric 4x4 matrix using L*D*L^T decomposition. // The calling function is responsible of verifying that the matrix // is positive definite. // bool SymMatrix4x4::invert() { if (a2 <= 0) return false; double d00 = 1.0/a2; double L10 = ab; double l10 = ab*d00; double L20 = ac; double l20 = ac*d00; double L30 = ad; double l30 = ad*d00; double d11 = b2-(L10*l10); if (d11 <= 0) return false; else d11 = 1.0/d11; double L21 = (bc-(L10*l20)); double l21 = L21*d11; double L31 = (bd-(L10*l30)); double l31 = L31*d11; double d22 = c2-(L20*l20)-(L21*l21); if (d22 <= 0) return false; else d22 = 1.0/d22; double L32 = (cd-(L20*l30)-(L21*l31)); double l32 = L32*d22; double d33 = d2-(L30*l30)-(L31*l31)-(L32*l32); if (d33 <= 0) return false; else d33 = 1.0/d33; L20 = l10*l21-l20; L31 = l21*l32-l31; L30 = l32*l20-L31*l10-l30; a2 = d00+(-l10)*((-l10)*d11)+L20*(L20*d22)+L30*(L30*d33); ab = ((-l10)*d11)+L20*((-l21)*d22)+L30*(L31*d33); b2 = d11+(-l21)*((-l21)*d22)+L31*(L31*d33); ac = (L20*d22)+L30*((-l32)*d33); bc = ((-l21)*d22)+L31*((-l32)*d33); c2 = d22+(-l32)*((-l32)*d33); ad = (L30*d33); bd = (L31*d33); cd = ((-l32)*d33); d2 = d33; return true; } ////////////////////////////////////////////////////////////////////////// // // Generic 4x4 matrix // ////////////////////////////////////////////////////////////////////////// Matrix4x4::Matrix4x4() {} Matrix4x4::Matrix4x4(const double& d) { matrix[0][0] = matrix[1][1] = matrix[2][2] = matrix[3][3] = d; matrix[1][0] = matrix[0][1] = matrix[1][2] = matrix[1][3] = 0; matrix[2][0] = matrix[2][1] = matrix[0][2] = matrix[2][3] = 0; matrix[3][0] = matrix[3][1] = matrix[3][2] = matrix[0][3] = 0; } Matrix4x4::Matrix4x4(const double& a11, const double& a12, const double& a13, const double& a14, const double& a21, const double& a22, const double& a23, const double& a24, const double& a31, const double& a32, const double& a33, const double& a34, const double& a41, const double& a42, const double& a43, const double& a44) { matrix[0][0] = a11; matrix[0][1] = a12; matrix[0][2] = a13; matrix[0][3] = a14; matrix[1][0] = a21; matrix[1][1] = a22; matrix[1][2] = a23; matrix[1][3] = a24; matrix[2][0] = a31; matrix[2][1] = a32; matrix[2][2] = a33; matrix[2][3] = a34; matrix[3][0] = a41; matrix[3][1] = a42; matrix[3][2] = a43; matrix[3][3] = a44; } void Matrix4x4::setRotation(const double& rx, const double& ry, const double& rz, const double& rw) { matrix[0][0] = rw*rw + rx*rx - ry*ry - rz*rz; matrix[0][1] = 2*rx*ry + 2*rw*rz; matrix[0][2] = 2*rx*rz - 2*rw*ry; matrix[0][3] = 0.0; matrix[1][0] = 2*rx*ry-2*rw*rz; matrix[1][1] = rw*rw - rx*rx + ry*ry - rz*rz; matrix[1][2] = 2*ry*rz + 2*rw*rx; matrix[1][3] = 0.0; matrix[2][0] = 2*rx*rz + 2*rw*ry; matrix[2][1] = 2*ry*rz - 2*rw*rx; matrix[2][2] = rw*rw - rx*rx - ry*ry + rz*rz; matrix[2][3] = 0.0; matrix[3][0] = 0.0; matrix[3][1] = 0.0; matrix[3][2] = 0.0; matrix[3][3] = rw*rw + rx*rx + ry*ry + rz*rz; } void Matrix4x4::setTranslation(const double& x, const double& y, const double& z) { matrix[0][0] = matrix[1][1] = matrix[2][2] = matrix[3][3] = 1; matrix[1][0] = matrix[0][1] = matrix[1][2] = 0; matrix[2][0] = matrix[2][1] = matrix[0][2] = 0; matrix[3][0] = matrix[3][1] = matrix[3][2] = 0; matrix[0][3] = x; matrix[1][3] = y; matrix[2][3] = z; } Matrix4x4 Matrix4x4::operator*(const Matrix4x4& q) const { int i, j; Matrix4x4 m; for (i=0; i<4; i++) for (j=0; j<4; j++) m.matrix[i][j] = matrix[i][0]*q.matrix[0][j] + matrix[i][1]*q.matrix[1][j] + matrix[i][2]*q.matrix[2][j] + matrix[i][3]*q.matrix[3][j]; return m; } void Matrix4x4::transform(double *x, double *y, double *z) { double w, a = *x, b = *y, c = *z; *x = matrix[0][0]*a + matrix[0][1]*b + matrix[0][2]*c + matrix[0][3]; *y = matrix[1][0]*a + matrix[1][1]*b + matrix[1][2]*c + matrix[1][3]; *z = matrix[2][0]*a + matrix[2][1]*b + matrix[2][2]*c + matrix[2][3]; w = matrix[3][0]*a + matrix[3][1]*b + matrix[3][2]*c + matrix[3][3]; (*x) /= w; (*y) /= w; (*z) /= w; } octave-iso2mesh-1.9.6+ds/meshfix/contrib/JMeshLib/src/PRIMITIVES/dijkstraGraph.cpp0000644001356000007640000000660213673436411026454 0ustar fangqadmin/**************************************************************************** * JMeshLib * * * * Consiglio Nazionale delle Ricerche * * Istituto di Matematica Applicata e Tecnologie Informatiche * * Sezione di Genova * * IMATI-GE / CNR * * * * Authors: Marco Attene * * * * Copyright(C) 2006: IMATI-GE / CNR * * * * All rights reserved. * * * * This program is free software; you can redistribute it and/or modify * * it under the terms of the GNU General Public License as published by * * the Free Software Foundation; either version 2 of the License, or * * (at your option) any later version. * * * * This program is distributed in the hope that it will be useful, * * but WITHOUT ANY WARRANTY; without even the implied warranty of * * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * * GNU General Public License (http://www.gnu.org/licenses/gpl.txt) * * for more details. * * * ****************************************************************************/ #include "dijkstraGraph.h" int dijkstraHeap::compare(const void *n1, const void *n2) { dijkstraNode *a = nodes[(j_voidint)n1]; dijkstraNode *b = nodes[(j_voidint)n2]; double l1 = a->dist; double l2 = b->dist; if (l1 < l2) return -1; if (l1 > l2) return 1; return 0; } dijkstraNode *dijkstraGraph::addNode(dijkstraNode *n) { nodes.appendHead(n); if (curNodeIndex >= maxNumNodes) return NULL; nds[curNodeIndex] = n; n->index = curNodeIndex; curNodeIndex++; return n; } dijkstraEdge *dijkstraGraph::createEdge(dijkstraNode *n1, dijkstraNode *n2, double cost) { Node *n; FOREACHNODE(n1->edges, n) if (((dijkstraEdge *)n->data)->hasNode(n2)) return (dijkstraEdge *)n->data; dijkstraEdge *ne = new dijkstraEdge(n1, n2, cost); edges.appendHead(ne); return ne; } void dijkstraGraph::runDijkstra(dijkstraNode *n0) { Node *n; dijkstraEdge *de; dijkstraNode *dn, *dd; double d; FOREACHNODE(nodes, n) {dn=((dijkstraNode *)n->data); dn->dist = DBL_MAX; dn->mask=0;} n0->dist = 0.0; ch->push(n0); while ((dn=ch->popHead())!=NULL) { dn->mask=1; FOREACHNODE(dn->edges, n) { de = ((dijkstraEdge *)n->data); dd = (dijkstraNode *)de->oppositeNode(dn); if (dd->mask == 0) { d = dn->dist + de->cost; if (d < dd->dist) { dd->dist = d; ch->update(dd); } } } } } octave-iso2mesh-1.9.6+ds/meshfix/contrib/JMeshLib/src/JMESH/0000755001356000007640000000000013673436411022322 5ustar fangqadminoctave-iso2mesh-1.9.6+ds/meshfix/contrib/JMeshLib/src/JMESH/jmesh.cpp0000644001356000007640000001231613673436411024137 0ustar fangqadmin/**************************************************************************** * JMeshLib * * * * Consiglio Nazionale delle Ricerche * * Istituto di Matematica Applicata e Tecnologie Informatiche * * Sezione di Genova * * IMATI-GE / CNR * * * * Authors: Marco Attene * * * * Copyright(C) 2006: IMATI-GE / CNR * * * * All rights reserved. * * * * This program is free software; you can redistribute it and/or modify * * it under the terms of the GNU General Public License as published by * * the Free Software Foundation; either version 2 of the License, or * * (at your option) any later version. * * * * This program is distributed in the hope that it will be useful, * * but WITHOUT ANY WARRANTY; without even the implied warranty of * * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * * GNU General Public License (http://www.gnu.org/licenses/gpl.txt) * * for more details. * * * ****************************************************************************/ #include "jmesh.h" #include #include #include double JMesh::acos_tolerance = 0.0001; FILE *JMesh::historyFile = NULL; void (* JMesh::display_message)(const char*, int) = NULL; const char *JMesh::app_name = NULL; const char *JMesh::app_version = NULL; const char *JMesh::app_year = NULL; const char *JMesh::app_authors = NULL; const char *JMesh::app_url = NULL; const char *JMesh::app_maillist = NULL; bool JMesh::quiet = false; void JMesh::init(double at, FILE *hf, void (*dm)(const char *, int)) { acos_tolerance = at; historyFile = hf; display_message = dm; app_name = NULL; app_version = NULL; app_year = NULL; app_authors = NULL; app_url = NULL; app_maillist = NULL; quiet = false; } ///////////// Prints a fatal error message and exits ///////////// void JMesh::error(const char *msg, ...) { static char fmt[2048], fms[4096]; va_list ap; va_start(ap, msg); strcpy(fmt,"\nERROR- "); strcat(fmt,msg); vsprintf(fms,fmt,ap); if (historyFile != NULL) { fclose(historyFile); strcat(fms, "Try the '-rescue' command line option.\n"); } if (display_message != NULL) display_message(fms, DISPMSG_ACTION_ERRORDIALOG); else { fprintf(stderr,"%s", fms); exit(-1); } } ///////////// Prints a warning message ///////////// void JMesh::warning(const char *msg, ...) { if (quiet) return; static char fmt[2048], fms[4096]; va_list ap; va_start(ap, msg); strcpy(fmt,"WARNING- "); strcat(fmt,msg); vsprintf(fms,fmt,ap); if (display_message != NULL) display_message(fms, DISPMSG_ACTION_PUTMESSAGE); else fprintf(stderr,"%s", fms); va_end(ap); } ///////////// Prints an information message ///////////// void JMesh::info(const char *msg, ...) { if (quiet) return; static char fmt[2048], fms[4096]; va_list ap; va_start(ap, msg); strcpy(fmt,"INFO- "); strcat(fmt,msg); vsprintf(fms,fmt,ap); if (display_message != NULL) display_message(fms, DISPMSG_ACTION_PUTMESSAGE); else printf("%s", fms); va_end(ap); } ///////// Reports progress status for a process ////////// void JMesh::begin_progress(bool newline) { if (quiet || !newline) return; if (display_message != NULL) display_message("\n", DISPMSG_ACTION_PUTNEWLINE); else printf("\n"); } void JMesh::report_progress(const char *msg, ...) { if (quiet) return; static char fmt[2048] = "\r"; static char fms[4096]; static char rotating_bar[5] = "-\\|/"; static unsigned char wc=0; if (msg == NULL) { sprintf(fms,"%c",rotating_bar[wc++]); if (wc==4) wc=0; strcpy(fmt+1,fms); if (display_message != NULL) display_message(fmt, DISPMSG_ACTION_PUTPROGRESS); else { printf("%s",fmt); fflush(stdout); } } else { va_list ap; va_start(ap, msg); strcpy(fmt+1,msg); vsprintf(fms,fmt,ap); if (display_message != NULL) display_message(fms, DISPMSG_ACTION_PUTPROGRESS); else { printf("%s", fms); fflush(stdout); } va_end(ap); } } void JMesh::end_progress(bool newline) { if (quiet || !newline) return; if (display_message != NULL) display_message("\n", DISPMSG_ACTION_PUTNEWLINE); else printf("\n"); } octave-iso2mesh-1.9.6+ds/meshfix/contrib/JMeshLib/changes.txt0000644001356000007640000000265513673436411023046 0ustar fangqadminFrom 1.0 to 1.1 - SymMatrix3x3 - added == and != operators - added method 'determinant' - added = operator - added trace method - added /= operator - added lrMultiply for different vectors - Matrix3x3 - added constructor from vector product - added lrMultiply for different vectors - added = operator - added /= operator - added transpose - SymMatrix4x4 - added == and != operators - List - Added method 'popTail()' - Corrected List::joinTailList(l) (buggy when l was empty) - removeNode now returns the index of the removed element - Added method 'getNode' - Triangulation - Clone constructor does no longer destroy info fields - Clone constructor allows to clone info fiels too (setting non-default second par) - CreateEdge modified. e0 pointer for vertices now points to new edge after creation. - CheckConnectivity does no longer exit in case of error. Now it returns the error string. - I/O - Updates for 64bit systems (to be checked carefully !) - Small bug-fix in ply loader - selectConnectedComponent and selectBoundaryTriangles return the # of selected tris - growSelection returns the # of newly selected tris - Point.cpp - getAngle() does no longer exit with error. Warning + return -1 now. - splitTriangle - Bug-fix: when splitEdge was invoked for robustness the method crashed - JMesh - added 'quiet' field to prevent message reporting octave-iso2mesh-1.9.6+ds/meshfix/contrib/JMeshLib/test/0000755001356000007640000000000013673436411021644 5ustar fangqadminoctave-iso2mesh-1.9.6+ds/meshfix/contrib/JMeshLib/test/README.iso2mesh0000644001356000007640000000172713673436411024263 0ustar fangqadmin=================================================================== = JMeshLib mesh cleaning utility modified for iso2mesh toolbox = =================================================================== Modified by Qianqian Fang Date: 2008/08 == Summary == The change is trivial, simply replace the input/outputs from WRL to OFF. However, if one want to compile JMeshLib on 64 bit linux, you will encounter the following error: error: cast from 'const void*' to 'int' loses precision to get around this, you have to replace (int) to (long) for most of the lines you get the error messages. == Compilation == First, download the JMeshLib source code from http://jmeshlib.sourceforge.net/ Unzip the file, and compile it based on the README file. Replace the test/test.cpp and test/Makefile files by the ones from this package, and type "make". Rename the generated meshfix binary to meshfix.mex??? where mex??? is the output for mexext from matlab. octave-iso2mesh-1.9.6+ds/meshfix/contrib/JMeshLib/test/Makefile0000644001356000007640000000063513673436411023310 0ustar fangqadminCFLAGS = -Wall -I../include LIBS = -L../ -ljmesh test: test.o g++ -o jmeshlib test.o $(LIBS) #------------------------------------------------------------------------- # Dependancies #------------------------------------------------------------------------- test.o: test.cpp $(CC) $(CFLAGS) -c $< #------------------------------------------------------------------------- clean : $(RM) -f *.o jmeshlib octave-iso2mesh-1.9.6+ds/meshfix/contrib/JMeshLib/test/test.cpp0000644001356000007640000000054013673436411023326 0ustar fangqadmin#include "jmesh.h" #include int main(int argc, char *argv[]) { JMesh::init(); Triangulation tin; if (argc < 3) JMesh::error("\nUsage: %s infile.off outfile.off\n",argv[0]); if (tin.load(argv[1]) != 0) JMesh::error("Can't open file.\n"); printf("Saving Manifold Oriented Triangulation ...\n"); tin.saveOFF(argv[2]); return 0; } octave-iso2mesh-1.9.6+ds/meshfix/contrib/JMeshLib/test/README.txt0000644001356000007640000000720613673436411023347 0ustar fangqadmin---------------------------- JMeshLib - Version 1.0 ---------------------------- by Marco Attene Consiglio Nazionale delle Ricerche Istituto di Matematica Applicata e Tecnologie Informatiche Sezione di Genova IMATI-GE / CNR JMeshLib provides a framework to work with manifold triangle meshes. It implements an edge-based data structure with all its fundamental functionalities (i.e., file I/O, mesh construction/destruction, traversal). It is written in C++ and includes support for reading and writing the following file formats: OFF (http://shape.cs.princeton.edu/benchmark/documentation/off_format.html) PLY (http://www.cs.unc.edu/~geom/Powerplant/Ply.doc) STL (http://www.sdsc.edu/tmf/Stl-specs/stl.html) VER-TRI (proprietary format used at IMATI-GE / CNR) and partially: IV 2.1, VRML 1.0, VRML 2.0, OBJ. In contrast to other generic libraries dealing with surface meshes, JMeshLib includes tools to automatically fix the most common problems present in surface meshes coming from laser scanning (conversion to oriented manifold, topological noise detection, hole filling, removal of degenerate faces, ...) through a clear and easy-to-learn C++ API. This package provides pre-compiled static libraries for both Linux and Windows (lib/libjmesh.a and lib/jmesh.lib respectively). See the comments within the source files for details or use doxygen to produce documentation in a more readable format. The file "tin.h" is a good starting point. ------------------- System Rrequirements -------------------- You need to have a 32 bit PC running either: - ELF Linux with standard development tools (gcc/g++) - Windows OS with MSVC 8.0 (Visual C++ 2005) ------------------- Building the tree ------------------- On WINDOWS: double-click on minJMeshLib.vcproj and press F7. On Linux: type 'make' on the command line. ------------------- Using the library ------------------- On WINDOWS: Add the path to jmesh's include dir to your project's include path AND add the path to jmesh.lib to your linker's command line On Linux: Add the path to jmesh's include dir to your project's include path AND add the path to jmesh.a to your linker's command line --------- Copyright --------- JMeshLib is Copyright(C) 2006: IMATI-GE / CNR All rights reserved. This program is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License (http://www.gnu.org/licenses/gpl.txt) for more details. octave-iso2mesh-1.9.6+ds/meshfix/contrib/JMeshLib/test/gpl.txt0000644001356000007640000004362613673436411023202 0ustar fangqadmin GNU GENERAL PUBLIC LICENSE Version 2, June 1991 Copyright (C) 1989, 1991 Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA Everyone is permitted to copy and distribute verbatim copies of this license document, but changing it is not allowed. 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It is safest to attach them to the start of each source file to most effectively convey the exclusion of warranty; and each file should have at least the "copyright" line and a pointer to where the full notice is found. Copyright (C) This program is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with this program; if not, write to the Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA. Also add information on how to contact you by electronic and paper mail. If the program is interactive, make it output a short notice like this when it starts in an interactive mode: Gnomovision version 69, Copyright (C) year name of author Gnomovision comes with ABSOLUTELY NO WARRANTY; for details type `show w'. This is free software, and you are welcome to redistribute it under certain conditions; type `show c' for details. The hypothetical commands `show w' and `show c' should show the appropriate parts of the General Public License. Of course, the commands you use may be called something other than `show w' and `show c'; they could even be mouse-clicks or menu items--whatever suits your program. You should also get your employer (if you work as a programmer) or your school, if any, to sign a "copyright disclaimer" for the program, if necessary. Here is a sample; alter the names: Yoyodyne, Inc., hereby disclaims all copyright interest in the program `Gnomovision' (which makes passes at compilers) written by James Hacker. , 1 April 1989 Ty Coon, President of Vice This General Public License does not permit incorporating your program into proprietary programs. If your program is a subroutine library, you may consider it more useful to permit linking proprietary applications with the library. If this is what you want to do, use the GNU Lesser General Public License instead of this License. octave-iso2mesh-1.9.6+ds/meshfix/contrib/JMeshLib/include/0000755001356000007640000000000013673436411022310 5ustar fangqadminoctave-iso2mesh-1.9.6+ds/meshfix/contrib/JMeshLib/include/vertex.h0000644001356000007640000002255213673436411024004 0ustar fangqadmin/**************************************************************************** * JMeshLib * * * * Consiglio Nazionale delle Ricerche * * Istituto di Matematica Applicata e Tecnologie Informatiche * * Sezione di Genova * * IMATI-GE / CNR * * * * Authors: Marco Attene * * * * Copyright(C) 2006: IMATI-GE / CNR * * * * All rights reserved. * * * * This program is free software; you can redistribute it and/or modify * * it under the terms of the GNU General Public License as published by * * the Free Software Foundation; either version 2 of the License, or * * (at your option) any later version. * * * * This program is distributed in the hope that it will be useful, * * but WITHOUT ANY WARRANTY; without even the implied warranty of * * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * * GNU General Public License (http://www.gnu.org/licenses/gpl.txt) * * for more details. * * * ****************************************************************************/ #ifndef _VERTEX_H #define _VERTEX_H #include "j_mesh.h" #include "list.h" #include "point.h" //! Vertex of a Triangulation //! This class represents a vertex of a manifold and oriented triangulation. //! The base-class Point //! describes geometrical and additional attributes of the vertex. The //! field 'e0' is sufficient to retrieve all the neighboring elements in //! optimal time, while the field 'mask' is useful for assigning up to 256 //! different states to the vertex. class Vertex : public Point { public : class Edge *e0; //!< One of the incident edges unsigned char mask; //!< bit-mask for marking purposes //! Creates a new vertex with coordinates (0,0,0). Vertex(); //! Creates a new vertex with the same coordinates (x,y,z). Vertex(const coord& x, const coord& y, const coord& z); //! Creates a new vertex with the same coordinates as 'p'. The info field is not copied. Vertex(const Point *p); //! Creates a new vertex with the same coordinates as 'p'. The info field is not copied. Vertex(const Point& p); ~Vertex(); //!< Destructor bool isLinked() const {return (e0!=0);} //!< TRUE iff vertex is not isolated //! List of adjacent vertices. //! Returns the list of vertices which are linked to this through an edge. //! The list is counter-clockwise ordered. In the case of an internal ver- //! tex the list starts from the opposite vertex of e0. If the vertex is on //! the boundary, the list starts from the opposite vertex of the clock- //! wise-most boundary edge. List *VV() const; //! List of incident edges. //! Returns the list of edges incident at this vertex. The list is counter-clockwise //! ordered. In the case of an internal vertex the list starts from 'e0' //! If the vertex is on the boundary, the list starts from its clockwise-most //! incident boundary edge. List *VE() const; //! List of incident triangles. //! Returns the list of triangles incident at this. The list is counter- //! clockwise ordered. In the case of an internal vertex the list starts //! from the triangle on the left of e0, when looking from this. If the //! vertex is on the boundary, the list starts from the clockwise-most //! boundary triangle. List *VT() const; //! Returns the edge connecting this vertex to 'v'. NULL if such an edge does not exist. class Edge *getEdge(const Vertex *v) const; int valence() const; //!< Returns the number of incident edges //! TRUE if vertex is on boundary //! For markbit >=0 boundary means boundary of the selection with this bit. int isOnBoundary(short markbit = -1) const; //! Returns the edge following this vertex on the boundary. //! This edge is the counterclockwise-most incident edge. //! Returns NULL if this vertex is not on the boundary. //! For markbit >=0 boundary means boundary of the selection with this bit. Edge *nextBoundaryEdge(short markbit = -1) const; //! Returns the edge preceeding this vertex on the boundary. //! This edge is the clockwise-most incident edge. //! Returns NULL if this vertex is not on the boundary. //! For markbit >=0 boundary means boundary of the selection with this bit. Edge *prevBoundaryEdge(short markbit = -1) const; //! Returns the vertex following this one on the boundary. //! If the vertex is on the boundary, this is equivalent to nextBoundaryEdge()->oppositeVertex(v) //! otherwise returns NULL. //! For markbit >=0 boundary means boundary of the selection with this bit. Vertex *nextOnBoundary(short markbit = -1) const; //! Returns the vertex preceeding this one on the boundary. //! If the vertex is on the boundary, this is equivalent to prevBoundaryEdge()->oppositeVertex(v) //! otherwise returns NULL. //! For markbit >=0 boundary means boundary of the selection with this bit. Vertex *prevOnBoundary(short markbit = -1) const; //! Normal at the vertex computed as the sum of incident triangle normals weighted on their incidence angle. Point getNormal() const; //! Returns the angle between the two incident boundary edges. If the vertex is not on the boundary, returns -1. //! For markbit >=0 boundary means boundary of the selection with this bit. double getBoundaryAngle() const; //! Discriminant Angle for triangulating 3D polygons. //! This method is useful when patching holes, and represents a heuristic //! for choosing which vertex of the hole's boundary must be patched first. //! Several cases are considered, including degenerate ones. Let 'v1' and 'v2' //! be the two boundary vertices which are linked to this one through a boundary //! edge. If 'v1' and 'v2' coincide, the method returns a negative number. //! If 'v1' , 'this' , 'v2' form a flat angle, the method returns 3PI (270 //! degrees). If the angle formed by 'v1' , 'this' , 'v2' is 0, the method //! returns 0. If the vertex is not on the boundary, the method returns the //! limit number DBL_MAX. In all the other cases the method returns the sum //! of three angles A + D1 + D2, where A is the angle formed by v1 , this , //! v2 , while D1 is the angle between the normal of the clockwise-most //! incident boundary triangle and the normal of the triangle v1 , this , //! v2; D2 is the analogous for the counterclockwise-most incident boundary //! triangle. double getAngleForTriangulation() const; //! Discriminant Angle for triangulating flat (or nearly flat) polygons. //! This method returns the angle between the two incident boundary edges //! when projected onto the plane whose normal is 'n'. This angle //! may be more than PI, because it represents the aperture of the non-tri- //! angulated region around the vertex when projected on the plane. If the //! vertex is not on the boundary, the method returns the limit value //! DBL_MAX. double getAngleOnAveragePlane(Point *n) const; double totalAngle() const; //!< Sum of incident angles. Returns -1 if on boundary. //! Excess angle. Returns DBL_MAX if on boundary. double gaussianCurvature() const {double t=totalAngle(); return (t>=0)?(t):(DBL_MAX);} double totalDihedralAngle() const; //!< Sum of signed dihedral angles. Returns DBL_MAX if on boundary. double voronoiArea() const; //!< A third of the total area of incident triangles. //! Zips the gap starting from here. int zip(const bool =1); Edge *inverseCollapse(Vertex *, Vertex *, Vertex *); Edge *inverseCollapse(Vertex *, Edge *, Edge *, Edge *, Edge *, Edge *, class Triangle *, class Triangle *); int getTopology(const double&) const; }; //! Scans the nodes 'n' of a list 'l' of vertices 'v'. #define FOREACHVVVERTEX(l, v, n) for (n = l->head(), v = (n)?((Vertex *)n->data):NULL; n != NULL; n=n->next(), v = (n)?((Vertex *)n->data):NULL) //! Scans the nodes 'n' of a list 'l' of edges 'e'. #define FOREACHVEEDGE(l, e, n) for (n = l->head(), e = (n)?((Edge *)n->data):NULL; n != NULL; n=n->next(), e = (n)?((Edge *)n->data):NULL) //! Scans the nodes 'n' of a list 'l' of triangles 't'. #define FOREACHVTTRIANGLE(l, t, n) for (n = l->head(), t = (n)?((Triangle *)n->data):NULL; n != NULL; n=n->next(), t = (n)?((Triangle *)n->data):NULL) //! Extended vertex for temporary use during connectivity creation. //! This class is used to allow the reconstruction of the connectivity //! in linear time (average case) and to handle badly oriented input files. //! It provides a complete VE relation. class ExtVertex { public : Vertex *v; List VE; ExtVertex(Vertex *a) {v=a;} }; #endif //_VERTEX_H octave-iso2mesh-1.9.6+ds/meshfix/contrib/JMeshLib/include/matrix.h0000644001356000007640000003020413673436411023764 0ustar fangqadmin/**************************************************************************** * JMeshLib * * * * Consiglio Nazionale delle Ricerche * * Istituto di Matematica Applicata e Tecnologie Informatiche * * Sezione di Genova * * IMATI-GE / CNR * * * * Authors: Marco Attene * * * * Copyright(C) 2006: IMATI-GE / CNR * * * * All rights reserved. * * * * This program is free software; you can redistribute it and/or modify * * it under the terms of the GNU General Public License as published by * * the Free Software Foundation; either version 2 of the License, or * * (at your option) any later version. * * * * This program is distributed in the hope that it will be useful, * * but WITHOUT ANY WARRANTY; without even the implied warranty of * * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * * GNU General Public License (http://www.gnu.org/licenses/gpl.txt) * * for more details. * * * ****************************************************************************/ #ifndef MATRIX_H #define MATRIX_H #include #include #include "list.h" ////////////////////////////////////////////////////////////////////////// // // Generic 3x3 matrix // ////////////////////////////////////////////////////////////////////////// //! Generic 3x3 matrix. //! Elements are stored in a row-dominant order, thus //! for example, M[4] is the first element of the second row. class Matrix3x3 { public: double M[9]; //!< Actual values of the matrix Matrix3x3() {M[0]=M[1]=M[2]=M[3]=M[4]=M[5]=M[6]=M[7]=M[8]=0.0;} //!< Contructs a null matrix //! Constructs a fully initialized matrix. Matrix3x3(const double& a11, const double& a12, const double& a13, const double& a21, const double& a22, const double& a23, const double& a31, const double& a32, const double& a33); //! Constructs a 3x3 matrix as the product of Transpose(v1,v2,v3) and (w1,w2,w3). Matrix3x3(const double& v1, const double& v2, const double& v3, const double& w1, const double& w2, const double& w3); //! Constructs a 3x3 matrix as the product of Transpose(a,b,c) and (a,b,c). Matrix3x3(const double& a, const double& b, const double& c); //! Returns TRUE if the matrix is symmetric bool isSymmetric() const {return (M[2]==M[4] && M[3]==M[7] && M[6]==M[8]);} //! Initializes all elements to 'd' void operator=(const double& d) {M[0]=M[1]=M[2]=M[3]=M[4]=M[5]=M[6]=M[7]=M[8]=d;} void operator+=(const Matrix3x3&); //!< Sum another matrix void operator-=(const Matrix3x3&); //!< Subtract another matrix void operator*=(const double&); //!< Multiply by a scalar void operator/=(const double& d) {operator *=(1.0/d);} //!< Divide by a scalar Matrix3x3 operator+(const Matrix3x3&) const; //!< Returns the sum of this and another matrix Matrix3x3 operator*(const double&) const; //!< Returns the product of this matrix with a scalar Matrix3x3 operator*(const Matrix3x3&) const; //!< Returns the product of this and another matrix (rows by columns) Matrix3x3 operator~() const; //!< Returns the transpose of this matrix //! Return the matrix transpose Matrix3x3 transpose() const; //! Returns Transpose(a,b,c)*M*(a,b,c) //! Returns the (scalar) result of multiplying the matrix on //! the left and on the right by the vector (a,b,c). double lrMultiply(const double& a, const double& b, const double& c) const; //! Returns the (scalar) result of v*M*w double lrMultiply(const double& v1, const double& v2, const double& v3, const double& w1, const double& w2, const double& w3) const; }; ////////////////////////////////////////////////////////////////////////// // // Symmetric 3x3 matrix // ////////////////////////////////////////////////////////////////////////// //! Symmetric 3x3 matrix //! Compact storage: \n //! M[0] M[1] M[3] \n //! M[1] M[2] M[4] \n //! M[3] M[4] M[5] \n class SymMatrix3x3 { public: double M[6]; //!< Actual values of the matrix SymMatrix3x3() {M[0]=M[1]=M[2]=M[3]=M[4]=M[5]=0.0;} //!< Constructs a null matrix. //! Constructs a fully initialized matrix. SymMatrix3x3(const double&a11, const double&a12, const double&a22, const double&a13, const double&a23, const double&a33); //! Constructs a symmetric matrix as the product of Transpose(a,b,c) and (a,b,c). SymMatrix3x3(const double& a, const double& b, const double& c); //! Constructs a symmetric 3x3 matrix as a copy of an existing 3x3 matrix S. //! If 'S' is not symmetric, its upper triangular part is reflected to the lower. SymMatrix3x3(const Matrix3x3& S); bool operator==(const SymMatrix3x3& s) //!< True iff all entries are equal {return (M[0]==s.M[0] && M[1]==s.M[1] && M[2]==s.M[2] && M[3]==s.M[3] && M[4]==s.M[4] && M[5]==s.M[5]);} bool operator!=(const SymMatrix3x3& s) //!< True iff at least one different entry {return (M[0]!=s.M[0] || M[1]!=s.M[1] || M[2]!=s.M[2] || M[3]!=s.M[3] || M[4]!=s.M[4] || M[5]!=s.M[5]);} void operator+=(const SymMatrix3x3&); //!< Sum another matrix void operator-=(const SymMatrix3x3&); //!< Subtract another matrix void operator*=(const double&); //!< Multiply by a scalar void operator/=(const double& d) {operator *=(1.0/d);} //!< Divide by a scalar SymMatrix3x3 operator+(const SymMatrix3x3&) const; //!< Returns the sum of this and another matrix SymMatrix3x3 operator*(const double&) const; //!< Returns the product of this matrix with a scalar //! Initializes all elements to 'd' void operator=(const double& d) {M[0]=M[1]=M[2]=M[3]=M[4]=M[5]=d;} //! Returns the determinant double determinant() const {return (M[0]*M[2]*M[5])+(2.0*M[1]*M[3]*M[4])-(M[0]*M[4]*M[4])-(M[2]*M[3]*M[3])-(M[5]*M[1]*M[1]);} //! Returns TRUE iff the matrix is made of all zeroes. bool isNull() const {return (M[0]==0 && M[1]==0 && M[2]==0 && M[3]==0 && M[4]==0 && M[5]==0);} //! Returns Transpose(a,b,c)*M*(a,b,c) //! Returns the (scalar) result of multiplying the matrix on //! the left and on the right by the vector (a,b,c). double lrMultiply(const double& a, const double& b, const double& c) const; //! Returns the (scalar) result of v*M*w double lrMultiply(const double& v1, const double& v2, const double& v3, const double& w1, const double& w2, const double& w3) const; bool invert(); //!< Inverts this matrix. Returns FALSE if not invertible, TRUE otherwise //! Returns the matrix trace double trace() const {return M[0]+M[2]+M[5];} //! Compute eigenvalues and eigenvectors of the matrix (Jacobi method). //! The calling function is responsible of verifying that the matrix //! is diagonalizable. Also, eigen_vals and eigen_vecs must be allocated //! prior to calling this method.\n //! eigen_vals are sorted in ascending order (i.e., eigen_vals[0] is the smallest one).\n //! eigen_vecs are sorted accordingly to the order of eigen_vals, that is, //! (eigen_vecs[0], eigen_vecs[1], eigen_vecs[2]) is the eigenvector corresponding to //! eigen_vals[0]. void diagonalize(double eigen_vals[3], double eigen_vecs[9]) const; //! Compute the eigenvalues l1, l2 and l3. //! This method is much faster and precise than 'diagonalize', as it uses //! an analytical direct method instead of an iterative approach. void getEigenvalues(double *l1, double *l2, double *l3) const; //! Compute the eigenvector (a,b,c) corresponding to the minimum eigenvalue. //! This method is much faster and precise than 'diagonalize', as it uses //! an analytical direct method instead of an iterative approach. void getMinEigenvector(double *a, double *b, double *c) const; //! This method is much faster and precise than 'diagonalize', as it uses //! an analytical direct method instead of an iterative approach. void getMaxEigenvector(double *a, double *b, double *c) const; //! Prints the contents of the matrix to the specified FILE id. //! If no 'id' is specifyed, results are printed to stdout. void print(FILE *id =stdout) const; }; ////////////////////////////////////////////////////////////////////////// // // Symmetric 4x4 matrix // ////////////////////////////////////////////////////////////////////////// //! Symmetric 4x4 matrix. //! Compact storage: \n //! a2 ab ac ad \n //! ab b2 bc bd \n //! ac bc c2 cd \n //! ad bd cd d2 \n class SymMatrix4x4 { public: double a2,ab,ac,ad,b2,bc,bd,c2,cd,d2; //!< Actual matrix coeffs. SymMatrix4x4() {a2=ab=ac=ad=b2=bc=bd=c2=cd=d2=0;} //!< Constructs a null matrix //! Extend a 3x3 symmetric matrix to homogeneous coordinates (ad=bd=cd=0 and d2=1). SymMatrix4x4(const SymMatrix3x3&); //! Quadric (a,b,c,d)*Transpose(a,b,c,d) SymMatrix4x4(const double& a, const double& b, const double& c, const double& d); bool operator==(const SymMatrix4x4&); //!< True iff equal bool operator!=(const SymMatrix4x4&); //!< True iff not equal void operator+=(const SymMatrix4x4&); //!< Sum another matrix SymMatrix4x4 operator+(const SymMatrix4x4&) const; //!< Returns the sum of this and another matrix SymMatrix4x4 operator*(const double&) const; //!< Returns the product of this matrix by a scalar //! Adds the quadric (a,b,c,d)*Transpose(a,b,c,d) void add(const double& a, const double& b, const double& c, const double& d); //! Returns Transpose(a,b,c,d)*M*(a,b,c,d) //! Returns the (scalar) result of multiplying the matrix on //! the left and on the right by the vector (a,b,c,d). double lrMultiply(const double& a, const double& b, const double& c, const double& d) const; //! \brief Computes the vector (a,b,c) that minimizes the quantity lrMultiply(a,b,c,1). //! Returns FALSE if such a vector is not unique. bool getMinimizer(double *a, double *b, double *c) const; bool invert(); //!< Inverts this matrix. Returns FALSE if not invertible, TRUE otherwise }; ////////////////////////////////////////////////////////////////////////// // // Generic 4x4 matrix // ////////////////////////////////////////////////////////////////////////// //! Generic 4x4 matrix. class Matrix4x4 { public: double matrix[4][4]; //!< Actual matrix coefficients //! Constructs an undefined matrix Matrix4x4(); //! Constructs a diagonal matrix with 'd' values on the diagonal Matrix4x4(const double& d); //! Constructs a fully initialized matrix (parameters are in row dominant order M[0][0], M[0][1], ...). Matrix4x4( const double&, const double&, const double&, const double&, const double&, const double&, const double&, const double&, const double&, const double&, const double&, const double&, const double&, const double&, const double&, const double& ); //! Rotation matrix from a quaternion void setRotation(const double &, const double&, const double&, const double&); //! Translation matrix from a vector void setTranslation(const double &, const double&, const double&); Matrix4x4 operator*(const Matrix4x4&) const; //!< Returns the product of this and another matrix (rows by columns) void transform(double *, double *, double *); //! Transform the vector by left-multiplication with the matrix }; #endif // MATRIX_H octave-iso2mesh-1.9.6+ds/meshfix/contrib/JMeshLib/include/edge.h0000644001356000007640000002345113673436411023372 0ustar fangqadmin/**************************************************************************** * JMeshLib * * * * Consiglio Nazionale delle Ricerche * * Istituto di Matematica Applicata e Tecnologie Informatiche * * Sezione di Genova * * IMATI-GE / CNR * * * * Authors: Marco Attene * * * * Copyright(C) 2006: IMATI-GE / CNR * * * * All rights reserved. * * * * This program is free software; you can redistribute it and/or modify * * it under the terms of the GNU General Public License as published by * * the Free Software Foundation; either version 2 of the License, or * * (at your option) any later version. * * * * This program is distributed in the hope that it will be useful, * * but WITHOUT ANY WARRANTY; without even the implied warranty of * * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * * GNU General Public License (http://www.gnu.org/licenses/gpl.txt) * * for more details. * * * ****************************************************************************/ #ifndef _EDGE_H #define _EDGE_H #include "j_mesh.h" #include "vertex.h" //! Edge of a Triangulation. //! This class represents an edge of a triangulation. An Edge is the main //! part of the Triangulation data structure. Each edge has an orientation //! (i.e. from v1 to v2) which forces the order in which incident triangles //! (t1 and t2) are stored in the class. When looking the edge so that it //! points "upwards", if the normal of t1 points towards the observer then //! t1 must be on the left of the edge. The field mask is useful for //! assigning up to 256 different states to the edge. class Edge { public : Vertex *v1,*v2; //!< End-points class Triangle *t1,*t2; //!< Incident triangles unsigned char mask; //!< bit-mask for marking purposes void *info; //!< Further information Edge(Vertex *s, Vertex *d); //!< Constructor ~Edge(); //!< Destructor //! TRUE iff edge is properly linked to a Triangulation. bool isLinked() const {return (v1 != NULL);} //! TRUE iff 'v' is an end-point of the edge. bool hasVertex(const Vertex *v) const {return (v1==v || v2==v);} //! TRUE iff 't' is incident to the edge. bool hasTriangle(const Triangle *t) const {return (t1==t || t2==t);} //! TRUE if both 'va' and 'vb' are vertices of the edge. bool hasVertices(const Vertex *va, const Vertex *vb) const {return ((v1==va && v2==vb) || (v2==va && v1==vb));} //! Euclidean length of the edge. double length() const {return v1->distance(v2);} //! Squared length of the edge. double squaredLength() const {return v1->squaredDistance(v2);} //! Convert to vector v2-v1. Point toVector() const {return (*v2)-(*v1);} //! Convert to normalized vector (v2-v1)/|v2-v1|. Point toUnitVector() const; //! Return the edge's mid-point. Point getMidPoint() const {return ((*v1)+(*v2))/2.0;} //! Invert the edge's orientation. void invert() {p_swap((void **)(&v1), (void **)(&v2)); p_swap((void **)(&t1), (void **)(&t2));} //! Triangle on the left of the edge when looking from 'v'. NULL if 'v' is not a vertex of the edge. Triangle *leftTriangle(const Vertex *v) const {return ((v1 == v)?(t1):((v2 == v)?(t2):(NULL)));} //! Triangle on the right of the edge when looking from 'v'. NULL if 'v' is not a vertex of the edge. Triangle *rightTriangle(const Vertex *v) const {return ((v1 == v)?(t2):((v2 == v)?(t1):(NULL)));} //! Vertex opposite to 'v'. NULL if 'v' is not a vertex of the edge. Vertex *oppositeVertex(const Vertex *v) const {return ((v1 == v)?(v2):((v2 == v)?(v1):(NULL)));} //! Incident triangle opposite to 't'. NULL if 't' is not incident to the edge. Triangle *oppositeTriangle(const Triangle *t) const {return ((t1 == t)?(t2):((t2 == t)?(t1):(NULL)));} //! Replace vertex 'a' with vertex 'b' in the edge and return TRUE. If 'a' is not a vertex of the edge return FALSE. bool replaceVertex(const Vertex *a, Vertex *b) {if (v1==a) v1=b; else if (v2==a) v2=b; else return 0; return 1;} //! Replace incident triangle 'a' with 'b' and return TRUE. If 'a' is not incident to the edge return FALSE. bool replaceTriangle(const Triangle *a, Triangle *b) {if (t1==a) t1=b; else if (t2==a) t2=b; else return 0; return 1;} //! Vertex shared with edge 'b'. NULL if this and 'b' do not share any vertex. Vertex *commonVertex(const Edge *b) const {return ((v1 == b->v1 || v1 == b->v2)?(v1):((v2 == b->v1 || v2 == b->v2)?(v2):(NULL)));} //! TRUE iff edge is on the boundary (i.e., one of the two incident triangles is NULL). bool isOnBoundary() const {return (t1 == NULL || t2 == NULL);} //! TRUE iff edge is isolated (i.e., both the two incident triangles are NULL). bool isIsolated() const {return (t1 == NULL && t2 == NULL);} //! If the edge is on boundary return its only incident triangle. NULL otherwise. Triangle *getBoundaryTriangle() const {return (t2 == NULL)?(t1):((t1 == NULL)?(t2):(NULL));} //! Print the coordinates of the end-ponts to the file handler pointed to by 'f' (stdout by default). void printEdge(FILE *f =stdout) const {v1->printPoint(f); v2->printPoint(f);} //! Return the normal at the edge as the average of the normals of the two incident triangles. //! A null (0,0,0) vector is returned if the edge is on boundary. Point getNormal() const; //! Combinatorial edge-swap. //! Vertices of the edge are replaced with vertices of the two incident triangles which are opposite to this edge. //! Connectivity information is updated properly. //! If the edge is on boundary or if the edge after the swap already exists return FALSE and do not change anything. //! Return TRUE on success. //! If 'fast' is set, no topological check is performed. bool swap(const bool fast=0); //! Edge collapse. //! This method collapses the edge and updates the connectivity of the //! neighboring elements consistently. The edge will be transformed into a //! vertex with the coordinates of 'p'. //! This method returns TRUE on success, FALSE otherwise. //! Failure occurs when the collapse would produce an invalid connectivity graph. //! Caution! If the collapse succeeds the //! edge, its incident triangles and the second vertex are unlinked, but //! they are still present in the lists of the Triangulation. //! The calling function is responsible of removing them from the lists using //! the method removeUnlinkedElements(). bool collapse(const Point& p); //! Edge collapse. //! This method collapses the edge and updates the connectivity of the //! neighboring elements consistently. The edge will be transformed into a //! vertex placed at the edge's mid-point. //! This method returns TRUE on success, FALSE otherwise. //! Failure occurs when the collapse would produce an invalid connectivity graph. //! Caution! If the collapse succeeds the //! edge, its incident triangles and the second vertex are unlinked, but //! they are still present in the lists of the Triangulation. //! The calling function is responsible of removing them from the lists using //! the method removeUnlinkedElements(). bool collapse(); //! Merge with another boundary edge. //! If both this and 'e' are boundary edges, the edge 'e' is identified with //! this one, and the connectivity of the neighboring elements is updated consistently. //! This method returns TRUE on success, FALSE otherwise. //! Failure occurs when the merge would produce an invalid connectivity graph (i.e., non orientable). //! Caution! If the merge succeeds the edge 'e' and its two end-points //! are unlinked, but they are still present in the lists of the //! Triangulation. It's responsibility of the calling function to remove //! them from the lists using the method removeUnlinkedElements(). bool merge(Edge *e); //! Stitching primitive. //! If there is a copy of this edge incident to one of the end-points, //! identify it with this edge, and update the connectivity properly. //! This method returns TRUE on success, FALSE otherwise. //! Caution! If the stitch succeeds, the duplicated edge //! is unlinked, but it is still present in the lists of the //! Triangulation. It's responsibility of the calling function to remove //! it from the lists using the method removeEdges(). bool stitch(); //! Dihedral angle at the edge. double dihedralAngle() const; //! Angle between the normals of the two incident triangles. //! Angle between the normals of the two incident triangles. If //! the edge is on boundary or one or both the incident triangles are //! degenerate, return -1. double curvature() const; //! Return the minimum among the six angles of the two incident triangles.2PI if on boundary. double delaunayMinAngle() const; }; //! Edge comparison based on length to be used with jqsort() or abstractHeap. int edgeCompare(const void *a, const void *b); //! Lexycographic edge comparison to be used with jqsort() or abstractHeap. int lexEdgeCompare(const void *a, const void *b); #endif //_EDGE_H octave-iso2mesh-1.9.6+ds/meshfix/contrib/JMeshLib/include/list.h0000644001356000007640000001745113673436411023444 0ustar fangqadmin/**************************************************************************** * JMeshLib * * * * Consiglio Nazionale delle Ricerche * * Istituto di Matematica Applicata e Tecnologie Informatiche * * Sezione di Genova * * IMATI-GE / CNR * * * * Authors: Marco Attene * * * * Copyright(C) 2006: IMATI-GE / CNR * * * * All rights reserved. * * * * This program is free software; you can redistribute it and/or modify * * it under the terms of the GNU General Public License as published by * * the Free Software Foundation; either version 2 of the License, or * * (at your option) any later version. * * * * This program is distributed in the hope that it will be useful, * * but WITHOUT ANY WARRANTY; without even the implied warranty of * * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * * GNU General Public License (http://www.gnu.org/licenses/gpl.txt) * * for more details. * * * ****************************************************************************/ #ifndef _JLIST_H #define _JLIST_H #include ///////////////////////////////////////////////////////////////////////////////////////////// //! Generic node of a doubly likned list. class Node { friend class List; // This is to make methods in 'List' able to modify n_prev and n_next public : void *data; //!< Actual data stored in the node //! Creates an isolated node storing 'd' Node(const void *d) {data=(void *)d; n_prev=n_next=NULL;} //! Creates a new node storing 'd' and links it to a previous node 'p' and to a next one 'n'. Node(const Node *p, const void *d, const Node *n); ~Node(); //!< Standard destructor Node *prev() {return n_prev;} //!< Returns the previous node in the list, possibly NULL Node *next() {return n_next;} //!< Returns the next node in the list, possibly NULL protected: Node *n_prev,*n_next; //!< Previous and next node pointers }; ///////////////////////////////////////////////////////////////////////////////////////////// //! Doubly linked list. class List { protected : Node *l_head; //!< First node pointer Node *l_tail; //!< Last node pointer int l_numels; //!< Number of elements in the list public : //! Creates an empty list List() {l_head = l_tail = NULL; l_numels = 0;} //! Creates a list containing an element 'd' (singleton) List(const void *d) {l_head = l_tail = new Node(d); l_numels = 1;} //! Creates a list out of an array 'd' made of 'n' elements. List(const void **d, int n); //! Creates a duplicated list. List(List& l) {l_head = l_tail = NULL; l_numels = 0; appendList(&l);} //! Creates a duplicated list. List(List* l) {l_head = l_tail = NULL; l_numels = 0; appendList(l);} //! Destructor ~List(); Node *head() const {return l_head;} //!< Gets the first node, NULL if empty. \n O(1). Node *tail() const {return l_tail;} //!< Gets the last node, NULL if empty. \n O(1). int numels() const {return l_numels;} //!< Gets the number of elements. \n O(1). void appendHead(const void *d); //!< Appends a new node storing 'd' to the head. \n O(1). void appendTail(const void *d); //!< Appends a new node storing 'd' to the tail. \n O(1). //! Deletes and removes the node containing 'd'. Returns its position, 0 if 'd' is not in the list. \n O(numels()). int removeNode(const void *d); //! Deletes and i'th node (starting from 0). Returns 0 if the list has less than i+1 nodes. \n O(numels()). int removeNode(int i); //! Returns the node at position 'i' (starting from 0). Returns NULL if the list has less than i+1 nodes. \n O(numels()). Node *getNode(int i) const; //! Deletes and removes the node 'n' from the list. \n O(1). void removeCell(Node *n); //! Appends a list 'l' to the head by duplicating nodes in 'l'. \n O(l->numels()). void appendList(const List *l); //! Appends a list 'l' to the tail by linking the first node of 'l' to the last one of this list. 'l' becomes empty. \n O(1). void joinTailList(List *l); //! Appends a list 'l' to the head by linking the last node of 'l' to the first one of this list. 'l' becomes empty. \n O(1). void joinHeadList(List *l); void *popHead(); //!< Deletes and removes the first node. Returns its data. \n O(1). void *popTail(); //!< Deletes and removes the last node. Returns its data. \n O(1). //! Deletes and removes the node 'n' from the list and frees data memory. \n O(1). //! Warning. This method uses the free() function to to dispose the memory space //! used by the data stored in the node. This means that such data should have //! been allocated through malloc(), calloc() or realloc(), and not through the //! 'new' operator. On some systems, however, the 'delete' operator simply calls 'free()' //! right after the execution of the proper object destructor so, if the object //! does not need to free internally allocated memory, it is safe to dispose the //! memory trhough free() although the object was allocated by 'new'. This works //! on Linux Fedora Core 2 distributions. void freeCell(Node *n); //! Deletes and removes the node storing 'd' and frees the memory occupied by 'd' itself. \n O(numels()). //! Warning. Read the comment for the method 'freeCell()' void freeNode(void *d); //! Returns the node storing 'd'. NULL if not found. \n O(numels()). Node *containsNode(const void *d) const; //! Replaces old_n with new_n. The Node containing new_n is returned. \n O(numels()). Node *replaceNode(const void *old_n, const void *new_n); //! Deletes and removes all the nodes and frees data memory. \n O(numels()). //! Warning. Read the comment for the method 'freeCell()' void freeNodes(); void removeNodes(); //!< Deletes and removes all the nodes. \n O(numels()). void **toArray() const; //!< Creates an array out of the list. \n O(numels()). //! Sorts the list using 'comp' as comparison function for two elements. \n O(numels()^2). //! This method uses the QuickSort algorithm for sorting, thus the complexity is N^2 in the //! worst case, but it is actually much faster in the average case. If, however, there is //! the need to have a guaranteed O(NlogN) complexity, it is possible to implement a heap //! based on the 'abstractHeap' class. See the documentation of the standard 'qsort' library //! function for details on the prototype of the comparison function 'comp'. int sort(int (*comp)(const void *, const void *)); }; //! Convenience macro to scan the nodes of a list. #define FOREACHNODE(l, n) for ((n) = (l).head(); (n) != NULL; (n)=(n)->next()) //! Convenience macro to circulate around the nodes of a list 'l' starting from node 'm'. Must exit with break or return. #define FOREACHNODECIRCULAR(l, m, n) for ((n) = (m); ; (n)=((n)!=(l).tail())?((n)->next()):((l).head())) #endif // _JLIST_H octave-iso2mesh-1.9.6+ds/meshfix/contrib/JMeshLib/include/j_mesh.h0000644001356000007640000000777613673436411023747 0ustar fangqadmin/**************************************************************************** * JMeshLib * * * * Consiglio Nazionale delle Ricerche * * Istituto di Matematica Applicata e Tecnologie Informatiche * * Sezione di Genova * * IMATI-GE / CNR * * * * Authors: Marco Attene * * * * Copyright(C) 2006: IMATI-GE / CNR * * * * All rights reserved. * * * * This program is free software; you can redistribute it and/or modify * * it under the terms of the GNU General Public License as published by * * the Free Software Foundation; either version 2 of the License, or * * (at your option) any later version. * * * * This program is distributed in the hope that it will be useful, * * but WITHOUT ANY WARRANTY; without even the implied warranty of * * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * * GNU General Public License (http://www.gnu.org/licenses/gpl.txt) * * for more details. * * * ****************************************************************************/ #ifndef _J_MESH_H #define _J_MESH_H #include #include #include #include #ifndef M_PI #define M_PI 3.14159265358979323846 #endif #define JMESH_VERSION "1.1" #define JMESH_YEAR 2006 class JMesh { public: static double acos_tolerance; static FILE *historyFile; static void (*display_message)(const char *, int); static const char *app_name; static const char *app_version; static const char *app_year; static const char *app_authors; static const char *app_url; static const char *app_maillist; static bool quiet; static bool global_quiet; static void init(double = 0.0001, FILE * =NULL, void (*)(const char *, int) = NULL); static void info(const char *, ...); static void warning(const char *, ...); static void error(const char *, ...); static void begin_progress(bool newline = false); static void report_progress(const char *, ...); static void end_progress(bool newline = true); }; #define DISPMSG_ACTION_SETWIDGET 1 #define DISPMSG_ACTION_PUTNEWLINE 2 #define DISPMSG_ACTION_PUTPROGRESS 3 #define DISPMSG_ACTION_PUTMESSAGE 4 #define DISPMSG_ACTION_ERRORDIALOG 5 typedef double coord; #define COORD_MAX DBL_MAX #define COORD_MIN DBL_MIN #ifndef _INC_WINDOWS typedef unsigned char UBYTE; typedef signed char BYTE; typedef unsigned short UINT16; typedef signed short INT16; #endif #ifdef IS64BITPLATFORM typedef long int j_voidint; #else typedef int j_voidint; #endif #define UBYTE_MAX 255 #define UINT16_MAX 65535 #define FABS(a) (((a)<0)?(-(a)):(a)) #define LOG2(a) (log(a)/log(2)) #define PI2 (M_PI/2.0) #ifndef MIN #define MIN(a,b) (((a)<(b))?(a):(b)) #endif #ifndef MAX #define MAX(a,b)(((a)>(b))?(a):(b)) #endif //////// Swaps two pointers. /////////////////////////////// inline void p_swap(void **a, void **b) {void *t = *a; *a = *b; *b = t;} ///////////////////////////////////////////////////////////////////////////////////////////// #endif //_J_MESH_H octave-iso2mesh-1.9.6+ds/meshfix/contrib/JMeshLib/include/point.h0000644001356000007640000002503513673436411023617 0ustar fangqadmin/**************************************************************************** * JMeshLib * * * * Consiglio Nazionale delle Ricerche * * Istituto di Matematica Applicata e Tecnologie Informatiche * * Sezione di Genova * * IMATI-GE / CNR * * * * Authors: Marco Attene * * * * Copyright(C) 2006: IMATI-GE / CNR * * * * All rights reserved. * * * * This program is free software; you can redistribute it and/or modify * * it under the terms of the GNU General Public License as published by * * the Free Software Foundation; either version 2 of the License, or * * (at your option) any later version. * * * * This program is distributed in the hope that it will be useful, * * but WITHOUT ANY WARRANTY; without even the implied warranty of * * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * * GNU General Public License (http://www.gnu.org/licenses/gpl.txt) * * for more details. * * * ****************************************************************************/ #ifndef _POINT_H #define _POINT_H #include "j_mesh.h" //! Geometric point definition //! This class represents a point in the Euclidean 3D space. It can be used //! to represent 3D vectors originating at (0,0,0) and terminating at the //! corresponding point. Several methods of this class are intended to //! manipulate vectors rather than points; for example, a call of the //! method normalize is an actual normalization if the object is a vector, //! but it has to be intended as a projection on the unit sphere if the //! object is intended to be a point. An object of type Point is a triplet //! (x,y,z) of coordinates endowed with a pointer 'info' to possible additional //! information. Each coordinate is a number of type 'coord' which, by //! default, is a standard double. Operations on points include addition, //! subtraction, cross and dot product, and many others. This class implements //! several useful operations using vector arithmethic. For example, //! the simple piece of code "A = B*C;" assignes to A the value of the dot //! product of B and C. //! Nearly zero or nearly flat angles are automatically snapped to //! exactly zero and exactly flat angles if the difference is smaller //! than the global variable _acos_tolerance. This is the very basic application //! of our version of the epsilon geometry for robust computation. class Point { public : coord x,y,z; //!< Coordinates void *info; //!< Further information //! Creates a new point with coordinates (0,0,0). Point() {x = y = z = 0; info = NULL;} //! Creates a new point with the same coordinates as 's'. The info field is not copied. Point(const Point *s) {x = s->x; y = s->y; z = s->z; info = NULL;} //! Creates a new point with the same coordinates as 's'. The info field is not copied. Point(const Point& s) {x = s.x; y = s.y; z = s.z; info = NULL;} //! Creates a new point with coordinates (a,b,c). Point(const coord& a, const coord& b, const coord& c) {x = a; y = b; z = c; info = NULL;} //! Set the coordinates to (a,b,c). void setValue(const coord& a, const coord& b, const coord& c) {x = a; y = b; z = c;} //! Set the coordinates as those of 'p' void setValue(const Point& p) {x = p.x; y = p.y; z = p.z;} //! Set the coordinates as those of '*p' void setValue(const Point *p) {x = p->x; y = p->y; z = p->z;} //! Returns the vector difference Point operator-(const Point& p) const {return Point(x-p.x, y-p.y, z-p.z);} //! Returns the vector sum Point operator+(const Point& p) const {return Point(x+p.x, y+p.y, z+p.z);} //! Sums another point void operator+=(const Point& p) {x+=p.x; y+=p.y; z+=p.z;} //! Subtracts another point void operator-=(const Point& p) {x-=p.x; y-=p.y; z-=p.z;} //! Returns the Cross Product Point operator&(const Point& p) const {return Point(y*p.z-z*p.y, z*p.x-x*p.z, x*p.y-y*p.x);} //! Returns the Dot Product double operator*(const Point& p) const {return (x*p.x+y*p.y+z*p.z);} //! Returns the product with a scalar Point operator*(const double& d) const {return Point(x*d,y*d,z*d);} //! Multiplies by a scalar void operator*=(const double& m) {x*=m; y*=m; z*=m;} //! Divides by a scalar void operator/=(const double& m) {x/=m; y/=m; z/=m;} //! Returns the vector divided by the scalar Point operator/(const double& d) const {return Point(x/d,y/d,z/d);} //! TRUE iff coordinates are equal bool operator==(const Point& p) const {return (x==p.x && y==p.y && z==p.z);} //! FALSE iff coordinates are equal bool operator!=(const Point& p) const {return (x!=p.x || y!=p.y || z!=p.z);} //! Returns the inverse vector Point inverse() const {return Point(-x,-y,-z);} //! Inverts the vector void invert() {x=-x; y=-y; z=-z;} //! TRUE if vector is (0,0,0) bool isNull() const {return (x==0 && y==0 && z==0);} //! Distance from origin double length() const {return sqrt(x*x + y*y + z*z);} //! Squared distance from origin double squaredLength() const {return (x*x + y*y + z*z);} //! Divides the vector by its length. If isNull() the application exits with an error. void normalize(); //! Rotates the vector around 'axis' by 'ang' radians ccw. void rotate(const Point& axis, const double& ang); //! Projects the vector on the plane with normal 'n' passing through the origin. void project(const Point *n); //! TRUE iff 'a', this vector and 'b' are not collinear bool notAligned(const Point *a, const Point *b) const; //! Distance from 'b' double distance(const Point& b) const {return (((*(this))-(b)).length());} //! Distance from '*b' double distance(const Point *b) const {return (((*(this))-(*b)).length());} //! Squared distance from '*b' double squaredDistance(const Point *b) const {return (((*(this))-(*b)).squaredLength());} //! Distance from straight line through 'a' and 'b' double distanceFromLine(const Point *a, const Point *b) const; //! Distance from straight line through 'a' and 'b'. *cc is set to the closest line point. double distanceFromLine(const Point *a, const Point *b, Point *cc) const; double distanceFromEdge(const Point *a, const Point *b) const; //!< Distance from segment a-b //! Distance from segment a-b. *cc is set to the closest edge point. double distanceFromEdge(const Point *a, const Point *b, Point *cc) const; //! Distance between the straight lines through (this) - l1_p2 and l2_p1 - l2_p2. double distanceLineLine(const Point *l1_p2, const Point *l2_p1, const Point *l2_p2) const; //!< Angle between this vector and 'v' in radians. double getAngle(const Point& v) const; //! Angle defined by in radians. double getAngle(const Point& a, const Point& b) const {return (a-(*this)).getAngle(b-(*this));} //! Angle defined by <*a, *this, *b> in radians. double getAngle(const Point *a, const Point *b) const {return ((*a)-(*this)).getAngle((*b)-(*this));} //! Returns the solution of the linear system Ax = d, where A is a 3x3 matrix whose rows are row1, row2 and row3, d = this Point linearSystem(const Point& row1, const Point& row2, const Point& row3); //! Side test. //! When looking from the direction pointed to by this vector, this method returns 1 if the points 'p1', //! 'p2' and 'p3' turn right, -1 if they turn left, 0 if they are aligned. //! Notice that in this latter case the three point do not need to be linearly dependent. int side3D(const Point *p1, const Point *p2, const Point *p3) const; //! Sets the point as the intersection of a segment and a plane. //! Initializes the coordinates with the intersection of the segment p1-p2 //! and the plane passing through 'source' with normal 'normal'. If the segment //! lies entirely on the plane, this method returns 2 and the coordinates //! are initialized with those of 'p1'. If there is no intersection, the //! method returns 0 and the coordinates are not modified. Otherwise the //! method returns 1. int intersectionWithPlane(const Point *p1, const Point *p2, const Point *source, const Point *normal); //! Sets the point as the intersection of a segment and a plane. //! Initializes the coordinates with the intersection of the segment p1-p2 //! and the plane of equation ax+by+cz+d = 0. If the segment //! lies entirely on the plane, this method returns 2 and the coordinates //! are initialized with those of 'p1'. If there is no intersection, the //! method returns 0 and the coordinates are not modified. Otherwise the //! method returns 1. int intersectionWithPlane(const Point *p1, const Point *p2, const double& a, const double& b, const double& c, const double& d); //! Line-line closest point computation. //! Computes the closest points of the line passing through this and this2, //! and the line passing through p1 and p2. The computed points are used to //! initialize the coordinates of cpOnThis and cpOnOther. The method //! returns 0 if the lines are parallel, 1 otherwise. int closestPoints(const Point *this2, const Point *p1, const Point *p2, Point *cpOnThis, Point *cpOnOther) const; //! Returns the projection of the point on the straight line though 'a' and 'b'. Point projection(const Point *a, const Point *b) const; //! Prints the coordinates of the point to a file handler. stdout is the default. void printPoint(FILE *fp =stdout) const {fprintf(fp,"%f %f %f,\n",x,y,z);} // Debug }; //! Lexycographic comparison to be used with jqsort() or abstractHeap. int xyzCompare(const void *p1, const void *p2); //! Static point with DBL_MAX coordinates. extern const Point INFINITE_POINT; //! Checks whether a point is INFINITE_POINT. #define IS_FINITE_POINT(p) ((p).x < DBL_MAX) #endif // _POINT_H octave-iso2mesh-1.9.6+ds/meshfix/contrib/JMeshLib/include/clusterGraph.h0000644001356000007640000000745513673436411025137 0ustar fangqadmin/**************************************************************************** * JMeshLib * * * * Consiglio Nazionale delle Ricerche * * Istituto di Matematica Applicata e Tecnologie Informatiche * * Sezione di Genova * * IMATI-GE / CNR * * * * Authors: Marco Attene * * * * Copyright(C) 2006: IMATI-GE / CNR * * * * All rights reserved. * * * * This program is free software; you can redistribute it and/or modify * * it under the terms of the GNU General Public License as published by * * the Free Software Foundation; either version 2 of the License, or * * (at your option) any later version. * * * * This program is distributed in the hope that it will be useful, * * but WITHOUT ANY WARRANTY; without even the implied warranty of * * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * * GNU General Public License (http://www.gnu.org/licenses/gpl.txt) * * for more details. * * * ****************************************************************************/ #ifndef _CLUSTER_GRAPH_H #define _CLUSTER_GRAPH_H #include "heap.h" #include "graph.h" #include "float.h" class clusterEdge : public graphEdge { public: int index; double cost; clusterEdge(graphNode *n1, graphNode *n2, int i) : graphEdge(n1,n2) {index = i; cost = 0.0;} }; class clusterHeap : abstractHeap { public: clusterEdge **edges; clusterHeap(int n, clusterEdge **edg) : abstractHeap(n) {positions = new int[n+1]; edges = edg; for (int i=0; i<=n; i++) positions[i]=0;} ~clusterHeap() {delete(positions);} void push(clusterEdge *e) {insert((void *)(e->index));} clusterEdge *getFirst() {return (numels)?(edges[(j_voidint)getHead()]):(NULL);} clusterEdge *popHead() {return (numels)?(edges[(j_voidint)removeHead()]):(NULL);} int isEmpty() {return (numels==0);} void remove(clusterEdge *e) {e->cost = -1; if (positions[e->index]) {upheap(positions[e->index]); removeHead();}} void update(clusterEdge *e) {if (!positions[e->index]) push(e); else downheap(upheap(positions[e->index]));} int compare(const void *, const void *); }; class clusterGraph : public Graph { int curEdgeIndex, maxNumEdges; clusterEdge **ces; clusterHeap *ch; double (*costFunction)(const void *, const void *); public: clusterGraph(int n, double (*cf)(const void *, const void *)) { ces = new clusterEdge *[n]; maxNumEdges = n; curEdgeIndex = 0; ch = new clusterHeap(n, ces); costFunction = cf; } ~clusterGraph() {delete ces; delete ch;} clusterEdge *createEdge(graphNode *n1, graphNode *n2); clusterEdge *getFirstEdge(); double getLowestCost() {clusterEdge *e = getFirstEdge(); return (e!=NULL)?(e->cost):(DBL_MAX);} int collapseFirstEdge(void (*)(const void *, const void *) = NULL); }; #endif // _CLUSTER_GRAPH_H octave-iso2mesh-1.9.6+ds/meshfix/contrib/JMeshLib/include/jqsort.h0000644001356000007640000000560013673436411024004 0ustar fangqadmin/**************************************************************************** * JMeshLib * * * * Consiglio Nazionale delle Ricerche * * Istituto di Matematica Applicata e Tecnologie Informatiche * * Sezione di Genova * * IMATI-GE / CNR * * * * Authors: Marco Attene * * * * Copyright(C) 2006: IMATI-GE / CNR * * * * All rights reserved. * * * * This program is free software; you can redistribute it and/or modify * * it under the terms of the GNU General Public License as published by * * the Free Software Foundation; either version 2 of the License, or * * (at your option) any later version. * * * * This program is distributed in the hope that it will be useful, * * but WITHOUT ANY WARRANTY; without even the implied warranty of * * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * * GNU General Public License (http://www.gnu.org/licenses/gpl.txt) * * for more details. * * * ****************************************************************************/ //! \file //! \brief Declaration of a generic QuickSort function. //! //! The jqsort() function sorts an array with numels elements. //! The v argument points to the start of the array of elements casted to void *. //! The contents of the array are sorted in ascending order according to a //! comparison function pointed to by comp, which is called with two //! arguments that point to the objects being compared. //! The comparison function must return an integer less than, equal to, or //! greater than zero if the first argument is considered to be respectively //! less than, equal to, or greater than the second. If two members //! compare as equal, their order in the sorted array is undefined. //! See the manpage of the standard library qsort() function for further information. extern void jqsort(void *v[], int numels, int (*comp)(const void *, const void *)); octave-iso2mesh-1.9.6+ds/meshfix/contrib/JMeshLib/include/jmesh.h0000644001356000007640000000433013673436411023567 0ustar fangqadmin/**************************************************************************** * JMeshLib * * * * Consiglio Nazionale delle Ricerche * * Istituto di Matematica Applicata e Tecnologie Informatiche * * Sezione di Genova * * IMATI-GE / CNR * * * * Authors: Marco Attene * * * * Copyright(C) 2006: IMATI-GE / CNR * * * * All rights reserved. * * * * This program is free software; you can redistribute it and/or modify * * it under the terms of the GNU General Public License as published by * * the Free Software Foundation; either version 2 of the License, or * * (at your option) any later version. * * * * This program is distributed in the hope that it will be useful, * * but WITHOUT ANY WARRANTY; without even the implied warranty of * * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * * GNU General Public License (http://www.gnu.org/licenses/gpl.txt) * * for more details. * * * ****************************************************************************/ #ifndef _JMESH_H #define _JMESH_H #include "j_mesh.h" #include "list.h" #include "point.h" #include "vertex.h" #include "edge.h" #include "triangle.h" #include "matrix.h" #include "tin.h" #endif //_JMESH_H octave-iso2mesh-1.9.6+ds/meshfix/contrib/JMeshLib/include/binTree.h0000644001356000007640000000575713673436411024067 0ustar fangqadmin/**************************************************************************** * JMeshLib * * * * Consiglio Nazionale delle Ricerche * * Istituto di Matematica Applicata e Tecnologie Informatiche * * Sezione di Genova * * IMATI-GE / CNR * * * * Authors: Marco Attene * * * * Copyright(C) 2006: IMATI-GE / CNR * * * * All rights reserved. * * * * This program is free software; you can redistribute it and/or modify * * it under the terms of the GNU General Public License as published by * * the Free Software Foundation; either version 2 of the License, or * * (at your option) any later version. * * * * This program is distributed in the hope that it will be useful, * * but WITHOUT ANY WARRANTY; without even the implied warranty of * * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * * GNU General Public License (http://www.gnu.org/licenses/gpl.txt) * * for more details. * * * ****************************************************************************/ #ifndef _BINTREE_H #define _BINTREE_H //! Generic binary tree. //! This class defines a node of a generic //! binary tree. class binTree { protected: void *data; //!< Data within the node binTree *parent, *left, *right; //!< Connectivity public: binTree(void *v); //!< Constructor (singleton) //! Constructor (join two sub-trees) //! Creates a new node for 'v' and makes it the parent //! of the existing binary trees 'l' and 'r'. binTree(void *v, binTree *l, binTree *r); ~binTree(); //!< Destructor void setValue(void *v) {data=v;} //!< Sets the value of this node void *getValue() const {return data;} //!< Returns the value of this node binTree *getLeftChild() const {return left;} //!< Returns the left child of this node binTree *getRightChild() const {return right;} //!< Returns the right child of this node binTree *getParentNode() const {return parent;} //!< Returns the parent of this node }; #endif // _BINTREE_H octave-iso2mesh-1.9.6+ds/meshfix/contrib/JMeshLib/include/dijkstraGraph.h0000644001356000007640000000740013673436411025257 0ustar fangqadmin/**************************************************************************** * JMeshLib * * * * Consiglio Nazionale delle Ricerche * * Istituto di Matematica Applicata e Tecnologie Informatiche * * Sezione di Genova * * IMATI-GE / CNR * * * * Authors: Marco Attene * * * * Copyright(C) 2006: IMATI-GE / CNR * * * * All rights reserved. * * * * This program is free software; you can redistribute it and/or modify * * it under the terms of the GNU General Public License as published by * * the Free Software Foundation; either version 2 of the License, or * * (at your option) any later version. * * * * This program is distributed in the hope that it will be useful, * * but WITHOUT ANY WARRANTY; without even the implied warranty of * * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * * GNU General Public License (http://www.gnu.org/licenses/gpl.txt) * * for more details. * * * ****************************************************************************/ #ifndef _DIJKSTRA_GRAPH_H #define _DIJKSTRA_GRAPH_H #include "heap.h" #include "graph.h" #include "float.h" class dijkstraNode : public graphNode { public: int index; double dist; dijkstraNode() : graphNode() {dist = DBL_MAX;} }; class dijkstraEdge : public graphEdge { public: double cost; dijkstraEdge(graphNode *n1, graphNode *n2, double c) : graphEdge(n1,n2) {cost = c;} }; class dijkstraHeap : abstractHeap { public: dijkstraNode **nodes; dijkstraHeap(int n, dijkstraNode **nod) : abstractHeap(n) {positions = new int[n+1]; nodes = nod; for (int i=0; i<=n; i++) positions[i]=0;} ~dijkstraHeap() {delete(positions);} void push(dijkstraNode *n) {insert((void *)(n->index));} dijkstraNode *getHead() {return (dijkstraNode *)getHead();} dijkstraNode *popHead() {return (numels)?(nodes[(j_voidint)removeHead()]):(NULL);} int isEmpty() {return (numels==0);} void remove(dijkstraNode *n) {n->dist = -1; if (positions[n->index]) {upheap(positions[n->index]); removeHead();}} void update(dijkstraNode *n) {if (!positions[n->index]) push(n); else downheap(upheap(positions[n->index]));} int compare(const void *, const void *); }; class dijkstraGraph : public Graph { int curNodeIndex, maxNumNodes; dijkstraNode **nds; dijkstraHeap *ch; public: dijkstraGraph(int n) { nds = new dijkstraNode *[n]; maxNumNodes = n; curNodeIndex = 0; ch = new dijkstraHeap(n, nds); } ~dijkstraGraph() {delete nds; delete ch;} dijkstraNode *addNode(dijkstraNode *n); dijkstraEdge *createEdge(dijkstraNode *n1, dijkstraNode *n2, double c); dijkstraNode *popFirstNode() {return ch->popHead();} void runDijkstra(dijkstraNode *s); }; #endif // _DIJKSTRA_GRAPH_H octave-iso2mesh-1.9.6+ds/meshfix/contrib/JMeshLib/include/triangle.h0000644001356000007640000002300713673436411024270 0ustar fangqadmin/**************************************************************************** * JMeshLib * * * * Consiglio Nazionale delle Ricerche * * Istituto di Matematica Applicata e Tecnologie Informatiche * * Sezione di Genova * * IMATI-GE / CNR * * * * Authors: Marco Attene * * * * Copyright(C) 2006: IMATI-GE / CNR * * * * All rights reserved. * * * * This program is free software; you can redistribute it and/or modify * * it under the terms of the GNU General Public License as published by * * the Free Software Foundation; either version 2 of the License, or * * (at your option) any later version. * * * * This program is distributed in the hope that it will be useful, * * but WITHOUT ANY WARRANTY; without even the implied warranty of * * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * * GNU General Public License (http://www.gnu.org/licenses/gpl.txt) * * for more details. * * * ****************************************************************************/ #ifndef _TRIANGLE_H #define _TRIANGLE_H #include "jmesh.h" //! Triangle of a Triangulation. //! This class represents a triangle of a triangulation. Each Triangle has //! an orientation (clockwise or counter-clockwise) due to the order in //! which its edges are stored in the class. When looking at the triangle //! so that (e1, e2, e3) are sorted counter-clockwise, the normal at the //! triangle points towards the observer. The field mask is useful for //! assigning up to 256 different states to the edge. class Triangle { public : Edge *e1, *e2, *e3; //!< Edges of the triangle void *info; //!< Further information unsigned char mask; //!< bit-mask for marking purposes Triangle(Edge *, Edge *, Edge *); //!< Constructor bool isLinked() const {return (e1!=NULL);} //!< TRUE if properly linked //! Inverts the orientation of the triangle void invert() {p_swap((void **)(&e2), (void **)(&e3));} Vertex *v1() const {return e1->commonVertex(e2);} //!< First vertex Vertex *v2() const {return e2->commonVertex(e3);} //!< Second vertex Vertex *v3() const {return e3->commonVertex(e1);} //!< Third vertex //! First adjacent triangle. NULL if boundary. Triangle *t1() const {return e1->oppositeTriangle(this);} //! Second adjacent triangle. NULL if boundary. Triangle *t2() const {return e2->oppositeTriangle(this);} //! Third adjacent triangle. NULL if boundary. Triangle *t3() const {return e3->oppositeTriangle(this);} //! TRUE iff 'e' is an edge of the triangle. bool hasEdge(const Edge *e) const {return (e==e1 || e==e2 || e==e3);} //! TRUE iff 'v' is a vertex of the triangle. bool hasVertex(const Vertex *v) const {return (e1->hasVertex(v) || e2->hasVertex(v) || e3->hasVertex(v));} //! Triangle's edge opposite to 'v'. NULL if 'v' is not a vertex of the triangle. Edge *oppositeEdge(const Vertex *v) const {return ((!e1->hasVertex(v))?(e1):((!e2->hasVertex(v))?(e2):((!e3->hasVertex(v))?(e3):(NULL))));} //! Adjacent triangle opposite to 'v'. NULL if 'v' is not a vertex of the triangle. Triangle *oppositeTriangle(const Vertex *v) const {return ((!e1->hasVertex(v))?(t1()):((!e2->hasVertex(v))?(t2()):((!e3->hasVertex(v))?(t3()):(NULL))));} //! Triangle's vertex opposite to 'e'. NULL if 'e' is not an edge of the triangle. Vertex *oppositeVertex(const Edge *e) const {return (e==e1)?(v2()):((e==e2)?(v3()):((e==e3)?(v1()):(NULL)));} //! Triangle adjacent to the next edge of 'e'. NULL if 'e' is not an edge of the triangle. Triangle *rightTriangle(const Edge *e) const {return (e==e1)?(t2()):((e==e2)?(t3()):((e==e3)?(t1()):(NULL)));} //! Triangle adjacent to the previous edge of 'e'. NULL if 'e' is not an edge of the triangle. Triangle *leftTriangle(const Edge *e) const {return (e==e1)?(t3()):((e==e2)?(t1()):((e==e3)?(t2()):(NULL)));} //! Edge next to 'e' in the ordering or the triangle. NULL if 'e' is not an edge of the triangle. Edge *nextEdge(const Edge *e) const {return ((e==e1)?(e2):((e==e2)?(e3):((e==e3)?(e1):(NULL))));} //! Edge preceeding 'e' in the ordering or the triangle. NULL if 'e' is not an edge of the triangle. Edge *prevEdge(const Edge *e) const {return ((e==e1)?(e3):((e==e2)?(e1):((e==e3)?(e2):(NULL))));} //! Vertex next to 'v' in the ordering or the triangle. NULL if 'v' is not a vertex of the triangle. Vertex *nextVertex(const Vertex *v) const {return (!e1->hasVertex(v))?(v3()):((!e2->hasVertex(v))?(v1()):((!e3->hasVertex(v))?(v2()):(NULL)));} //! Vertex preceeding 'v' in the ordering or the triangle. NULL if 'v' is not a vertex of the triangle. Vertex *prevVertex(const Vertex *v) const {return (!e1->hasVertex(v))?(v1()):((!e2->hasVertex(v))?(v2()):((!e3->hasVertex(v))?(v3()):(NULL)));} //! If this triangle shares an edge with 'b', then such an edge is returned. NULL otherwise. Edge *commonEdge(const Triangle *b) const {return ((e1 == b->e1 || e1 == b->e2 || e1 == b->e3)?(e1):\ (((e2 == b->e1 || e2 == b->e2 || e2 == b->e3)?(e2):\ (((e3 == b->e1 || e3 == b->e2 || e3 == b->e3)?(e3):(NULL))))));} //! Replace edge 'a' with edge 'b' in the triangle and return TRUE. If 'a' is not an edge of the triangle return FALSE. bool replaceEdge(const Edge *a, Edge *b) {if (e1==a) e1=b; else if (e2==a) e2=b; else if (e3==a) e3=b; else return 0; return 1;} //! Return a normal vector with direction (v1-v2) cross (v2-v3). If triangle is degenerate return a null vector. Point getNormal() const; //! Return a vector orthogonal to the plane of the triangle. If triangle is degenerate return a null vector. Point getVector() const; //! TRUE if the oriantation is consistent with the one of 't' OR if this and 't' do not share any edge. bool checkAdjNor(const Triangle *t) const; //! Area of the triangle (Heron's formula). double area() const; //! Perimeter of the triangle. double perimeter() const; //! Return the triangle's barycenter. Point getCenter() const; //! Return the center of the triangle's bounding sphere. Point getCircleCenter() const; //! TRUE iff 'p' is inside the triangle's bounding sphere. bool inSphere(const Point *p) const; //! Angle at vertex 'v'. Return -1 if 'v' is not a vertex of the triangle. double getAngle(const Vertex *v) const; //! Angle between the normal vector of this and the one of 't'. Return -1 if one or both the triangles are degenerate. double getDAngle(const Triangle *t) const; //! Distance of 'p' from the plane of the triangle. Return -1 if triangle is degenerate. double distanceFromPoint(const Point *p) const; //! Squared distance of 'p' from the plane of the triangle. Return -1 if triangle is degenerate. double squaredDistanceFromPoint(const Point *p) const; //! Distance of 'p' from the closest point of the triangle. Return -1 if triangle is degenerate. //! If 'c' is not NULL, its coordinates are set to the ones of the closest point. double pointTriangleDistance(const Point *p, Point *c =NULL) const; //! Squared distance of 'p' from the closest point of the triangle. Return -1 if triangle is degenerate. double pointTriangleSquaredDistance(const Point *p) const; //! Projection of 'p' on the plane of the triangle. Return INFINITE_POINT if triangle is degenerate. Point project(const Point *p) const; //! TRUE iff the projection of 'p' on the plane of the triangle is inside the triangle. bool isInside(const Point *p) const; //! Triangle-edge intersection. //! Checks whether the triangle intersects the edge 'e'. If it does, //! the method returns TRUE and 'p' is initialized with the point of //! intersection. If there is no intersection or if the edge lies //! on the plane of the triangle, FALSE is returned. 't' is a threshold //! distance within which a point is considered to be on the face. bool intersectsEdge(const Edge *e, Point *p, const double =0.0) const; //! Cap-like degeneracy check. //! If the angle at a vertex is flat, return the edge opposite to such vertex. //! Return NULL otherwise. Edge *isCap() const; //! Needle-like degeneracy check. //! If an edge of the triangle has zero length, return that edge. //! If the angle at a vertex is zero, return the edge opposite to such vertex. //! Return NULL otherwise. Edge *isNeedle() const; //! Degeneracy check. Return TRUE iff isCap() or isNeedle(). bool isDegenerate() const; //! Return TRUE iff one of the adjacent triangles overlaps with this one. bool overlaps() const; //! Print the coordinates of the three vertices to the file handler pointed to by 'f' (stdout by default). void printTriangle(FILE *f =stdout) const; //! Unlink all edges and vertices of the triangle void unlinkEdgesWithVertices(); }; #endif // _TRIANGLE_H octave-iso2mesh-1.9.6+ds/meshfix/contrib/JMeshLib/include/heap.h0000644001356000007640000001024713673436411023402 0ustar fangqadmin/**************************************************************************** * JMeshLib * * * * Consiglio Nazionale delle Ricerche * * Istituto di Matematica Applicata e Tecnologie Informatiche * * Sezione di Genova * * IMATI-GE / CNR * * * * Authors: Marco Attene * * * * Copyright(C) 2006: IMATI-GE / CNR * * * * All rights reserved. * * * * This program is free software; you can redistribute it and/or modify * * it under the terms of the GNU General Public License as published by * * the Free Software Foundation; either version 2 of the License, or * * (at your option) any later version. * * * * This program is distributed in the hope that it will be useful, * * but WITHOUT ANY WARRANTY; without even the implied warranty of * * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * * GNU General Public License (http://www.gnu.org/licenses/gpl.txt) * * for more details. * * * ****************************************************************************/ #ifndef _HEAP_H #define _HEAP_H #include "j_mesh.h" //! Heap base class type. //! abstractHeap is the base class for implementing heaps. //! Each implementation (class extension) must define the method //! compare to be used for sorting the heap. If the objects being //! sorted are non-negative numbers, a special implementation may //! use the field positions to record the index of each element //! within the heap. This feature is useful when there is a need to //! re-sort an element whose cost changes after its insertion into //! the heap. The array 'positions' must be allocated by //! the extended class constructor, and must be able to contain NMAX+1 //! integer numbers, where NMAX is the maximum value that can be //! assumed by an object. class abstractHeap { protected: void **heap; //!< Heap data is stored here int numels; //!< Current number of elements int maxels; //!< Maximum number of elements int *positions; //!< Optional pointer to an array of positions int upheap(int i); //!< Moves the i'th object up on the heap int downheap(int i); //!< Moves the i'th object down on the heap //! Comparison of two heap elements //! This function must be implemented in the extended class. //! The return value must be <0 if a0 if a>b or 0 if a=b. virtual int compare(const void *a, const void *b) = 0; public : abstractHeap(int n); //!< Creates a heap which can contain up to 'n' elements virtual ~abstractHeap() = 0; //!< Default destructor //! Inserts 'e' into the heap //! Inserts an element 'e' into the heap in the correct position, according to the //! method compare. If the insertion fails because the heap is full, -1 is //! returned, otherwise the index position of the newly inserted element is //! returned. int insert(void *e); int isEmpty() const {return (numels == 0);} //!< Returns TRUE if the heap is empty void *getHead() const {return heap[1];} //!< Returns the first element of the heap void *removeHead(); //!< Removes and returns the first element after rearranging the heap void flush() {numels=0;} //!< Removes all the elements }; #endif // _HEAP_H octave-iso2mesh-1.9.6+ds/meshfix/contrib/JMeshLib/include/graph.h0000644001356000007640000001017513673436411023566 0ustar fangqadmin/**************************************************************************** * JMeshLib * * * * Consiglio Nazionale delle Ricerche * * Istituto di Matematica Applicata e Tecnologie Informatiche * * Sezione di Genova * * IMATI-GE / CNR * * * * Authors: Marco Attene * * * * Copyright(C) 2006: IMATI-GE / CNR * * * * All rights reserved. * * * * This program is free software; you can redistribute it and/or modify * * it under the terms of the GNU General Public License as published by * * the Free Software Foundation; either version 2 of the License, or * * (at your option) any later version. * * * * This program is distributed in the hope that it will be useful, * * but WITHOUT ANY WARRANTY; without even the implied warranty of * * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * * GNU General Public License (http://www.gnu.org/licenses/gpl.txt) * * for more details. * * * ****************************************************************************/ #ifndef _GRAPH_H #define _GRAPH_H #include "list.h" //! Base class type for nodes of non-oriented graphs class graphNode { public: //! List of incident edges. List edges; //! Generic 8-bit mask for marking purposes. unsigned char mask; graphNode() {mask=0;} virtual ~graphNode() {} //! Returns TRUE if the node is isolated. O(1). bool isIsolated() {return (edges.numels()==0);} //! Returns the edge connecting this with 'n'. NULL if not connected. O(degree). class graphEdge *getEdge(graphNode *n); }; //! Base class type for edges of non-oriented graphs class graphEdge { public: //! Edge's end-points graphNode *n1, *n2; //! Generic 8-bit mask for marking purposes. unsigned char mask; //! Constructor. graphEdge(graphNode *, graphNode *); virtual ~graphEdge() {} //! Returns the node oppsite to 'n'. O(1). graphNode *oppositeNode(graphNode *n) {return (n1==n)?(n2):((n2==n)?(n1):(NULL));} //! Returns TRUE if this edge does not connect points. O(1). bool isUnlinked() {return (n1==NULL);} //! Returns TRUE if 'n' is a node of this edge. O(1). bool hasNode(graphNode *n) {return (n1==n || n2==n);} //! Makes this edge as 'unlinked' from the graph. O(1). void makeUnlinked() {n1=NULL; n2=NULL;} //! Edge collapse. O(degree of neighbors). //! After one (or a series of) collapse, remember to call Graph::deleteUnlinkedElements() //! to make the graph coherent with its node and edge lists. void collapse(); }; //! Base class type for non oriented graphs class Graph { public: //! Nodes and edges of the graph. List nodes, edges; ~Graph(); //! Adds an existing isolated node to the graph. O(1). graphNode *addNode(graphNode *n) {nodes.appendHead(n); return n;} //! Creates a new edge out of a pair of nodes. O(degree of nodes). //! If the edges already exists, no new edge is created and the //! existing one is returned. Otherwise the newly created edge is returned. graphEdge *createEdge(graphNode *n1, graphNode *n2); //! Eliminates isolated nodes and unlinked edges from the lists. O(N). //! The eliminated elements are deleted too. void deleteUnlinkedElements(); }; #endif // _GRAPH_H octave-iso2mesh-1.9.6+ds/meshfix/contrib/JMeshLib/include/tin.h0000644001356000007640000006130513673436411023260 0ustar fangqadmin/**************************************************************************** * JMeshLib * * * * Consiglio Nazionale delle Ricerche * * Istituto di Matematica Applicata e Tecnologie Informatiche * * Sezione di Genova * * IMATI-GE / CNR * * * * Authors: Marco Attene * * * * Copyright(C) 2006: IMATI-GE / CNR * * * * All rights reserved. * * * * This program is free software; you can redistribute it and/or modify * * it under the terms of the GNU General Public License as published by * * the Free Software Foundation; either version 2 of the License, or * * (at your option) any later version. * * * * This program is distributed in the hope that it will be useful, * * but WITHOUT ANY WARRANTY; without even the implied warranty of * * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * * GNU General Public License (http://www.gnu.org/licenses/gpl.txt) * * for more details. * * * ****************************************************************************/ #ifndef _TIN_H #define _TIN_H #include "jmesh.h" //! Triangulation //! This class represents a manifold and oriented triangle mesh. //! Vertices, Edges and Triangles are stored in the Lists V, E and T //! respectively. Methods boundaries(), handles() and shells() may //! be used to retrieve the respective topological entities. //! Navigation of the mesh is based on the topological relationships //! stored in each Vertex, Edge and Triangle. //! Some methods would require a global update only to maintain //! consistent values of the protected fields n_boundaries, n_handles //! and n_shells. On the other hand, the same methods would work in //! constant time if these values would not need to be updated. //! To keep complexity as low as possible, //! we make use of the 'dirty bits' d_boundaries, d_handles and //! d_shells to mark that the respective entities must be updated. //! The access functions boundaries(), handles() and shells() //! check the status of the respective dirty bit and do a global //! update (i.e., eulerUpdate()) only if necessary. //! The complexity of the methods is provided as a function of a //! generic 'N', which is O(V.numels()) = O(E.numels()) = O(T.numels()). class Triangulation { protected: int n_boundaries; //!< Number of boundary loops int n_handles; //!< Number of handles int n_shells; //!< Number of connected components bool d_boundaries; //!< Dirty bit for n_boundaries bool d_handles; //!< Dirty bit for n_handles bool d_shells; //!< Dirty bit for n_shells public : List V; //!< Vertex set List E; //!< Edge set List T; //!< Triangle set // Constructors //! Empty triangulation. Should be used only prior to a call to load(). Triangulation(); //! Pre-defined triangulation. Currently, only "tetrahedron" is recognized. Triangulation(const char *); //! Clones an existing Trianglation. Triangulation(const Triangulation *, const bool clone_info =false); //! Clones an existing connected component. //! Creates a new Triangulation out of a connected component of an existing //! Triangulation. 't' is a triangle of the connected component that must //! be copied. If 'keep_ref' is TRUE, each element of the existing mesh //! keeps a pointer to the corresponding new element in the 'info' field. Triangulation(const Triangle *t, const bool keep_ref =false); //! Destructor. Frees the memory allocated for all the mesh elements. //! Warning! This method uses the freeNodes() method of the class List, //! which is not guaranteed to work correctly on systems other than //! Linux (see the documentation of List for details). //! Assuming that the method works correctly, however, the calling //! function is responsible of freeing the memory that was possibly //! allocated for objects pointed to by the 'info' field of mesh //! elements. Clearly, this must be done before calling the destructor. ~Triangulation(); //! Get the number of boundary loops of the triangle mesh. O(1) or O(N). int boundaries() {if (d_boundaries) eulerUpdate(); return n_boundaries;} //! Get the number of handles of the triangle mesh. O(1) or O(N). int handles() {if (d_handles) eulerUpdate(); return n_handles;} //! Get the number of connected components of the triangle mesh. O(1) or O(N). int shells() {if (d_shells) eulerUpdate(); return n_shells;} ///////////////////////////////////////////////////////////////////////////// // // Input/Output methods (Implemented in "MESH_STRUCTURE/io.cpp") // ///////////////////////////////////////////////////////////////////////////// //! Initialize the triangle mesh from the file 'filename'. //! The file format is automatically deduced from the magic number //! or the filename extension. If 'doupdate' is FALSE, the //! global update for the topological entities is prevented. //! Currently, the following file formats are supported: //! Open Inventor (IV), VRML 1.0 and 2.0 (WRL), Object File Format (OFF), //! IMATI Ver-Tri (VER, TRI). //! A non-zero value is returned in case of error. Specifically, //! IO_CANTOPEN means that the file couldn't be opened for reading. //! IO_FORMAT means that the file format was not recognized by the loader. //! IO_UNKNOWN represents all the other errors. //! The calling function is responsible of verifying that the mesh is //! empty before calling this method. int load(const char *filename, const bool update=1); int cutAndStitch(); //!< Convert to manifold bool CreateIndexedTriangle(ExtVertex **, int, int, int); int loadIV(const char *); //!< Loads IV int loadVRML1(const char *); //!< Loads VRML 1.0 int loadOFF(const char *); //!< Loads OFF int loadPLY(const char *); //!< Loads PLY int loadVerTri(const char *); //!< Loads VER-TRI int loadVRML2(const char *); //!< Loads VRML 2.0 int loadOBJ(const char *); //!< Loads OBJ int loadSTL(const char *); //!< Loads STL protected: void closeLoadingSession(FILE *, int, ExtVertex **, bool); void coordBackApproximation(); public: //! Save the triangle mesh to file 'filename'. //! The file format is deduced from the filename extension //! (wrl = vrml 1.0), (iv = OpenInventor), (off = Object //! file format), (ply = PLY format), (tri = IMATI Ver-Tri). //! If 'back_approx' is set, vertex coordinates are approximated //! to reflect the limited precision of floating point //! representation in ASCII files. This should be used when //! coherence is necessary between in-memory and saved data. //! A non-zero return value is returned if errors occur. int save(const char *filename, bool back_approx=0); int saveIV(const char *); //!< Saves IV int saveOFF(const char *); //!< Saves OFF 1.0 int saveOBJ(const char *); //!< Saves OBJ int saveSTL(const char *); //!< Saves STL int saveMSH(const char *, char maskByte = 0, bool save_normals = 0); //!< Saves gmsh MSH format int saveFSMESH(const char *, float xshift = 0.0 ); //!< Saves FreeSurfer format int savePLY(const char *, bool ascii = 1); //!< Saves PLY 1.0 (ascii or binary) int saveVerTri(const char *); //!< Saves Ver-Tri //! Saves the triangle mesh to a VRML 1.0 file. //! The value of 'mode' specifies whether to use additional //! information attached to mesh elements in order to assign //! them a proper color. //! IO_CSAVE_OVERALL assigns a unique color for the entire mesh (default). //! IO_CSAVE_PERFACE assigns a color to each triangle depending on the value //! of its 'info' field. //! IO_CSAVE_PERVERTEX assigns a color to each vertex depending on the value //! of its 'info' field. //! IO_CSAVE_PERFACE_INDEXED assigns one of five base colors to each triangle //! depending on the value of its 'mask' field. //! IO_CSAVE_PERVERTEX_INDEXED assigns one of five base colors to each vertex //! depending on the value of its 'mask' field. int saveVRML1(const char *, const int mode=0); //! Append another triangle mesh to the existing one. //! This method works exactly as the 'load()' method, except for the fact //! that it does not assume that the mesh is empty. int append(const char *filename, const bool doupdate=1); ///////////////////////////////////////////////////////////////////////////// // // Primitive Construction (Implemented in "MESH_STRUCTURE/tin.cpp") // ///////////////////////////////////////////////////////////////////////////// //! Creates an Edge connecting two existing mesh vertices. //! Returns the newly created edge. If an edge connecting the two vertices //! already exists in the mesh, then no new edge is created and the old one //! is returned. Edge *CreateEdge(Vertex *v1, Vertex *v2); //! Creates an Edge connecting two existing mesh Extended vertices. //! Returns the newly created edge. If an edge connecting the two vertices //! already exists in the mesh, then no new edge is created and the old one //! is returned. //! If 'check' is FALSE, the check for previously existing edges is skipped. Edge *CreateEdge(ExtVertex *v1, ExtVertex *v2, const bool check=1); //! Creates a properly oriented Triangle bounded by three existing mesh edges. //! Returns the newly created Triangle. If e1, e2 and e3 //! are not suitable for creating a properly oriented and //! manifold triangle, the creation fails and NULL is returned. Triangle *CreateTriangle(Edge *e1, Edge *e2, Edge *e3); //! Creates an arbitrarily oriented Triangle bounded by three existing mesh edges. //! Returns the newly created Triangle. If either e1, e2 or e3 //! has already two incident triangles, the creation fails and NULL is returned. //! This method assumes that e1, e2 and e3 are incident to exactly three vertices. Triangle *CreateUnorientedTriangle(Edge *, Edge *, Edge *); //! Creates a new Edge 'e' and an oriented Triangle bounded by 'e', 'e1' and 'e2'. //! The newly created triangle is returned, unless 'e1' and 'e2' do not share a //! vertex or they are not boundary edges. In this cases, NULL is returned. Triangle *EulerEdgeTriangle(Edge *e1, Edge *e2); ///////////////////////////////////////////////////////////////////////////// // // Primitive Destruction (Implemented in "MESH_STRUCTURE/tin.cpp") // ///////////////////////////////////////////////////////////////////////////// //! Unlinks a triangle from the mesh. O(1). //! Resulting isolated vertices and edges are unlinked too. //! If necessary, this method duplicates non-manifold vertices that can //! occur due to the removal of the triangle. //! The unlinked triangle, along with the other possible unlinked elements, //! must be removed from the List T through removeUnlinkedElements(). void unlinkTriangle(Triangle *); //! Unlinks a triangle from the mesh. O(1). //! No check is performed on the resulting topology, which may be inconsistent. //! The unlinked triangle, along with the other possible unlinked elements, //! must be removed from the List T through removeUnlinkedElements(). void unlinkTriangleNoManifold(Triangle *); //! Removes a triangle from the mesh. O(N). //! This is equivalent to an unlinkTriangle(t) followed by a //! removeUnlinkedElements(). void removeTriangle(Triangle *t) {unlinkTriangle(t); removeUnlinkedElements();} //! Removes all the unlinked triangles from List T. Returns the number of removed triangles. O(N). int removeTriangles(); //! Removes all the unlinked edges from List E. Returns the number of removed edges. O(N). int removeEdges(); //! Removes all the unlinked vertices from List V. Returns the number of removed vertices. O(N). int removeVertices(); //! Removes all the unlinked elements from the lists. Returns the number of removed elements. O(N). int removeUnlinkedElements() {return removeTriangles()+removeEdges()+removeVertices();} ///////////////////////////////////////////////////////////////////////////// // // Methods acting on selections (Implemented in "MESH_STRUCTURE/tin.cpp") // ///////////////////////////////////////////////////////////////////////////// //! Selects all the triangles. O(N). void selectAllTriangles(short markBit = 0); //! Deselects all the triangles. O(N). void deselectTriangles(short markBit = 0); //! Removes all the selected triangles. O(N). void removeSelectedTriangles(); //! Selects all the triangles having at least one boundary vertex. O(N). //! Returns the number of selected triangles. int selectBoundaryTriangles(); //! Enlarges the current selection of one triangle in width. O(N). //! Each triangle sharing at least one vertex with a currently selected //! triangle becomes selected. //! Returns the number of newly selected triangles. int growSelection(); //! Shrinks the current selection of one triangle in width. O(N). //! Each triangle sharing at least one vertex with a currently unselected //! triangle becomes unselected. void shrinkSelection(); //! Inverts the selection status of all the triangles. O(N). //! If 't0' is not NULL, then only the connected component containing 't0' //! is inverted. void invertSelection(Triangle *t0 =NULL); //! If 't0' is selected, deselect everything but the selected triangles connected to 't0' //! selectBit determines the target bit number (default 0 == IS_VISITED) void reselectSelection(Triangle *t0, char selectBit = 0, bool deselectOthers = true); //! Creates a new Triangulation out of an existing selection containing 't0'. O(output). //! If necessary, non-manifold vertices are properly duplicated. //! If 'keep_ref' is set to TRUE, then elements of the original mesh point //! (through their info field) to corresponding elements of the newly created copy. Triangulation *createSubMeshFromSelection(Triangle *t0 = NULL, bool keep_ref = 0); //! Marks all the triangles within distance L from 'p' as selected. O(output). //! A triangle is considered to be within distance L from 'p' only if all //! its three vertices are so. //! Point 'p' is assumed to belong to triangle 't0', which is required to //! limit the complexity to the size of the selected region. //! Returns the number of selected triangles. int selectSphericalRegion(Triangle *t0, const double L, const Point *p); //! Marks all the triangles within distance L from 'p' as deselected. O(output). //! A triangle is considered to be within distance L from 'p' only if all //! its three vertices are so. //! Point 'p' is assumed to belong to triangle 't0', which is required to //! limit the complexity to the size of the selected region. //! Returns the number of deselected triangles. int deselectSphericalRegion(Triangle *t0, const double L, const Point *p); //! Deselects all the triangles farther than L from 'p'. O(N). //! A triangle is considered to be farther than L from 'p' if at least //! one of its three vertices is so. //! Point 'p' is assumed to belong to triangle 't0'. Passing 't0' avoids //! the non robust and expensive computation of point-in-triangle. void reselectSphericalRegion(Triangle *t0, const double L, const Point *p); //! Re-triangulates the currently selected region using a Delaunay-like approach. O(SlogS). //! A common plane is computed as the average of the planes of the triangles selected; //! then, the vertices of the region are projected on the plane and edges are iteratively //! swapped up to convergence (which is guaranteed on planar and simple domains). //! Finally, the vertices are moved back to their original positions. This operation is //! particularly useful to improve the quality of nearly flat regions. The selection must //! be simple and its Gauss map must be entirely contained in a semi-sphere. //! Returns TRUE on success, FALSE otherwise. bool retriangulateSelectedRegion(); //! TRUE iff the set of selected triangles in 'l' is simply connected. O(l->numels()). bool isSelectionSimple(List *l); //! Unmarks all the elements but leaves the selection status of triangles as is. O(N). void unmarkEverythingButSelections(); //! Selects all the triangles of the connected component containing t0. O(N). //! If 'stop_on_sharp', expansion from 't0' brakes at tagged sharp edges. //! Returns the number of selected triangles. int selectConnectedComponent(Triangle *t0, bool stop_on_sharp=0); //! Deselects all the triangles of the connected component containing t0. O(N). //! If 'stop_on_sharp', expansion from 't0' brakes at tagged sharp edges. //! Returns the number of deselected triangles. int deselectConnectedComponent(Triangle *t0, bool stop_on_sharp=0); //! Append to the current mesh a copy of all the elements of 't'. //! The newly created elements form a new selection. void append(Triangulation *t); //! Joins the element lists of the triangulation src to the tail of the current lists. void joinTailTriangulation(Triangulation *src); //! Joins the element lists of the triangulation src to the head of the current lists. void joinHeadTriangulation(Triangulation *src); //! Convenience function to extract the shell connected to the triangle t (while removing it from the current mesh). Triangulation *extractShell(Triangle *t, const bool copy_mask=false); //! Convenience function to extract the first shell (shell connected to the first triangle in T). Triangulation *extractFirstShell(const bool copy_mask=false); ///////////////////////////////////////////////////////////////////////////// // // Region manipulation (Implemented in "MESH_STRUCTURE/tin.cpp") // ///////////////////////////////////////////////////////////////////////////// //! Make a list of triangles within distance L from 'p'. O(output). //! Starting from 't0', which is assumed to contain 'p', add a triangle at a //! time to the list as long as all the vertices stay within distance L from 'p'. List *getRegion(Triangle *t0, const double L, const Point *p); //! Removes triangles within distance L from 'p'. O(N). //! Starting from 't0', which is assumed to contain 'p', remove a triangle at a //! time as long as all its vertices stay within distance L from 'p'. void removeRegion(Triangle *t0, const double L, const Point *p); //! Get the vertex next to 'v' on the boundary of the region. O(1). //! UPDATE: Use Vertex::nextOnBoundary(0) instead. Vertex *nextVertexOnRegionBoundary(Vertex *v) const; //! Retrieve internal vertices of a region. O(l->numels()). //! This method returns a list containing an edge of the region's boundary //! as its first element, and all the internal vertices as the remaining elements. List *getRegionInternalVertices(List *l); //! Transform the vertices of the shell containing 't0' using the matrix m. O(S). void transformShell(Triangle *t0, const Matrix4x4& m); //! Remove all the triangles belonging to the shell containing 't0'. O(N). void removeShell(Triangle *t0); //! Returns a list with components (lists of connected triangles) of the Triangulation. //! UNMARK_VISIT2() is applied to all triangles. List* getComponentsList(); ///////////////////////////////////////////////////////////////////////////// // // Global Operations (Implemented in "MESH_STRUCTURE/tin.cpp") // ///////////////////////////////////////////////////////////////////////////// //! Tag sharp edges based on threshold angle. O(N). //! Tag as sharp all the edges in which the normals of the two incident //! triangles form an angle greater than 't'. void sharpEdgeTagging(const double t); //! Unmark all the elements. O(N). void unmarkEverything(); //! Bounding box longest edge. 'b' and 't' are set as the longest diagonal end-points. O(N). double getBoundingBox(Point& b, Point& t) const; //! Bounding box longest diagonal. O(N). double bboxLongestDiagonal() {Point a, b; getBoundingBox(a, b); return a.distance(b);} //! Approximate bounding ball radius. O(N). double getBoundingBallRadius() const; //! Total area of the mesh. O(N). double area() const; //! Total volume of the mesh assuming that boundaries() = 0. O(N). double volume() const; //! Scale the mesh to make it fit within a cube [0,0,0]-[s,s,s]. O(N). void normalize(const double s =1.0); //! Transform the mesh geometry using the transformation matrix m. O(N). void transform(const Matrix4x4& m); //! Randomly move vertices along their normals. O(N). //! Displacement is bounded by 'p'% of the bounding ball radius. void addNormalNoise(const double p); //! Iteratively swaps edges to minimize the Delaunay minimum angle. O(N). //! Edges tagged as sharp are constrained not to swap. //! On generically curved manifolds this process is not guaranteed to converge. //! This method returns TRUE if convergence is reached, FALSE otherwise. bool iterativeEdgeSwaps(); ///////////////////////////////////////////////////////////////////////////// // // Surface topology manipulation (Implemented in "MESH_STRUCTURE/tin.cpp") // ///////////////////////////////////////////////////////////////////////////// //! Invert all the triangle and edge orientations. O(N). void flipNormals(); //! Invert the orientation of triangles and edges belonging to the shell containing 't0'. O(S). void flipNormals(Triangle *t0); //! Return the triangle with the maximum 'z' coordinate in the shell containing 't0'. O(N). //! Useful for orienting meshes bounding solids. Triangle *topTriangle(Triangle *t0); //! Updates the values of n_boundaries, n_handles and n_shells. O(N). //! The relative dirty bits are set to zero. void eulerUpdate(); //! Duplicates edges and vertices to make the mesh homeomorphic to a disk. O(N). void openToDisk(); ///////////////////////////////////////////////////////////////////////////// // // Handling wrong topology (Implemented in "MESH_STRUCTURE/checkAndRepair.cpp") // ///////////////////////////////////////////////////////////////////////////// int removeSmallestComponents( unsigned number_to_keep = 1); int forceNormalConsistence(); int forceNormalConsistence(Triangle *); int duplicateNonManifoldVertices(); const char *checkConnectivity(); int removeDuplicatedTriangles(); int checkAndRepair(); // Degenerate geometry manipulation (Implemented in "MESH_STRUCTURE/checkAndRepair.cpp") int mergeCoincidentEdges(); int removeDegenerateTriangles(); int removeOverlappingTriangles(); int selectTinyHandles(double); Vertex *checkGeometry(); // Triangulation methods int StarTriangulateHole(Edge *); int TriangulateHole(Edge *, Point *); int TriangulateHole(Edge *, List *); Vertex *watsonInsert(Point *, List *, int); int retriangulateVT(Vertex *); Vertex *splitEdge(Edge *, Point *, bool =0); Vertex *splitTriangle(Triangle *, Point *, bool =0); // Debug and work-in-progress void printReport(); }; #define FOREACHTRIANGLE(Tt, n) for (n = T.head(), Tt = (n)?((Triangle *)n->data):NULL; n != NULL; n=n->next(), Tt = (n)?((Triangle *)n->data):NULL) #define FOREACHEDGE(Tt, n) for (n = E.head(), Tt = (n)?((Edge *)n->data):NULL; n != NULL; n=n->next(), Tt = (n)?((Edge *)n->data):NULL) #define FOREACHVERTEX(Tt, n) for (n = V.head(), Tt = (n)?((Vertex *)n->data):NULL; n != NULL; n=n->next(), Tt = (n)?((Vertex *)n->data):NULL) #define MARK_VISIT(a) ((a)->mask |= ((unsigned char)1)) #define IS_VISITED(a) ((a)->mask & ((unsigned char)1)) #define UNMARK_VISIT(a) ((a)->mask &= (~((unsigned char)1))) #define MARK_VISIT2(a) ((a)->mask |= ((unsigned char)2)) #define IS_VISITED2(a) ((a)->mask & ((unsigned char)2)) #define UNMARK_VISIT2(a) ((a)->mask &= (~((unsigned char)2))) #define MARK_BIT(a,b) ((a)->mask |= ((unsigned char)(1<mask & ((unsigned char)(1<mask &= (~((unsigned char)(1< Copyright (C) This program is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with this program; if not, write to the Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA. Also add information on how to contact you by electronic and paper mail. If the program is interactive, make it output a short notice like this when it starts in an interactive mode: Gnomovision version 69, Copyright (C) year name of author Gnomovision comes with ABSOLUTELY NO WARRANTY; for details type `show w'. This is free software, and you are welcome to redistribute it under certain conditions; type `show c' for details. The hypothetical commands `show w' and `show c' should show the appropriate parts of the General Public License. Of course, the commands you use may be called something other than `show w' and `show c'; they could even be mouse-clicks or menu items--whatever suits your program. You should also get your employer (if you work as a programmer) or your school, if any, to sign a "copyright disclaimer" for the program, if necessary. Here is a sample; alter the names: Yoyodyne, Inc., hereby disclaims all copyright interest in the program `Gnomovision' (which makes passes at compilers) written by James Hacker. , 1 April 1989 Ty Coon, President of Vice This General Public License does not permit incorporating your program into proprietary programs. If your program is a subroutine library, you may consider it more useful to permit linking proprietary applications with the library. If this is what you want to do, use the GNU Lesser General Public License instead of this License. octave-iso2mesh-1.9.6+ds/meshfix/contrib/JMeshLib/CMakeLists.txt0000755001356000007640000000266513673436411023441 0ustar fangqadmincmake_minimum_required (VERSION 2.6) project (JMeshLib) include_directories(include) set(jmesh_h include/binTree.h include/clusterGraph.h include/dijkstraGraph.h include/edge.h include/graph.h include/heap.h include/jmesh.h include/jqsort.h include/j_mesh.h include/list.h include/matrix.h include/point.h include/tin.h include/triangle.h include/vertex.h ) set(jmesh_src src/PRIMITIVES/binTree.cpp src/PRIMITIVES/clusterGraph.cpp src/PRIMITIVES/dijkstraGraph.cpp src/PRIMITIVES/graph.cpp src/PRIMITIVES/heap.cpp src/PRIMITIVES/jqsort.cpp src/PRIMITIVES/list.cpp src/PRIMITIVES/matrix.cpp src/MESH_STRUCTURE/checkAndRepair.cpp src/MESH_STRUCTURE/edge.cpp src/MESH_STRUCTURE/point.cpp src/MESH_STRUCTURE/tin.cpp src/MESH_STRUCTURE/triangle.cpp src/MESH_STRUCTURE/vertex.cpp src/MESH_STRUCTURE/io.cpp src/JMESH/jmesh.cpp ) add_library(jmesh STATIC ${jmesh_src} ${jmesh_h}) add_executable(test_jmeshlib ${jmesh_src} ${jmesh_h} test/test.cpp) ## Compiler flags if(CMAKE_COMPILER_IS_GNUCXX) ## Use '-pg' to prfile/debug; '-O1' for development; '-O2' for release version set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -O2") ## On some versions of gcc the optimizer uses strict aliasing rules. ## If this is not your case try to comment out the following line. set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -fno-strict-aliasing") if(CMAKE_CXX_SIZEOF_DATA_PTR EQUAL 8) ADD_DEFINITIONS(-DIS64BITPLATFORM) ## needed for 64 bit endif() endif() octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/0000755001356000007640000000000013673436411020745 5ustar fangqadminoctave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/src/0000755001356000007640000000000013673436411021534 5ustar fangqadminoctave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/src/NL/0000755001356000007640000000000013673436411022045 5ustar fangqadminoctave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/src/NL/nl_preconditioners.c0000644001356000007640000001133013673436411026107 0ustar fangqadmin/* * Copyright (c) 2004-2010, Bruno Levy * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * * Redistributions of source code must retain the above copyright notice, * this list of conditions and the following disclaimer. * * Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * Neither the name of the ALICE Project-Team nor the names of its * contributors may be used to endorse or promote products derived from this * software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * * If you modify this software, you should include a notice giving the * name of the person performing the modification, the date of modification, * and the reason for such modification. * * Contact: Bruno Levy * * levy@loria.fr * * ALICE Project * LORIA, INRIA Lorraine, * Campus Scientifique, BP 239 * 54506 VANDOEUVRE LES NANCY CEDEX * FRANCE * */ #include #include #include #include /******************************************************************************/ /* preconditioners */ /* Utilities for preconditioners */ void nlMultDiagonal(NLdouble* xy, NLdouble omega) { NLuint N = nlCurrentContext->n ; NLuint i ; NLdouble* diag = nlCurrentContext->M.diag ; for(i=0; in ; NLuint i ; NLdouble* diag = nlCurrentContext->M.diag ; for(i=0; iM) ; NLuint n = A->n ; NLdouble* diag = A->diag ; NLuint i ; NLuint ij ; NLRowColumn* Ri = NULL ; NLCoeff* c = NULL ; NLdouble S ; nl_assert(A->storage & NL_MATRIX_STORE_SYMMETRIC) ; nl_assert(A->storage & NL_MATRIX_STORE_ROWS) ; for(i=0; irow[i]) ; for(ij=0; ij < Ri->size; ij++) { c = &(Ri->coeff[ij]) ; nl_parano_assert(c->index <= i) ; if(c->index != i) { S += c->value * y[c->index] ; } } y[i] = (x[i] - S) * omega / diag[i] ; } } void nlMultUpperInverse(NLdouble* x, NLdouble* y, NLdouble omega) { NLSparseMatrix* A = &(nlCurrentContext->M) ; NLuint n = A->n ; NLdouble* diag = A->diag ; NLint i ; NLuint ij ; NLRowColumn* Ci = NULL ; NLCoeff* c = NULL ; NLdouble S ; nl_assert(A->storage & NL_MATRIX_STORE_SYMMETRIC) ; nl_assert(A->storage & NL_MATRIX_STORE_COLUMNS) ; for(i=n-1; i>=0; i--) { S = 0 ; Ci = &(A->column[i]) ; for(ij=0; ij < Ci->size; ij++) { c = &(Ci->coeff[ij]) ; nl_parano_assert(c->index >= i) ; if(c->index != i) { S += c->value * y[c->index] ; } } y[i] = (x[i] - S) * omega / diag[i] ; } } void nlPreconditioner_Jacobi(NLdouble* x, NLdouble* y) { NLuint N = nlCurrentContext->n ; dcopy(N, x, 1, y, 1) ; nlMultDiagonalInverse(y, 1.0) ; } void nlPreconditioner_SSOR(NLdouble* x, NLdouble* y) { NLdouble omega = nlCurrentContext->omega ; static double* work = NULL ; static int work_size = 0 ; NLuint n = nlCurrentContext->n ; if(n != work_size) { work = NL_RENEW_ARRAY(NLdouble, work, n) ; work_size = n ; } nlMultLowerInverse(x, work, omega) ; nlMultDiagonal(work, omega) ; nlMultUpperInverse(work, y, omega) ; dscal(n, 2.0 - omega, y, 1) ; } octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/src/NL/nl_preconditioners.h0000644001356000007640000000511413673436411026117 0ustar fangqadmin/* * Copyright (c) 2004-2010, Bruno Levy * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * * Redistributions of source code must retain the above copyright notice, * this list of conditions and the following disclaimer. * * Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * Neither the name of the ALICE Project-Team nor the names of its * contributors may be used to endorse or promote products derived from this * software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * * If you modify this software, you should include a notice giving the * name of the person performing the modification, the date of modification, * and the reason for such modification. * * Contact: Bruno Levy * * levy@loria.fr * * ALICE Project * LORIA, INRIA Lorraine, * Campus Scientifique, BP 239 * 54506 VANDOEUVRE LES NANCY CEDEX * FRANCE * */ #ifndef __NL_PRECONDITIONERS__ #define __NL_PRECONDITIONERS__ #include /******************************************************************************/ /* preconditioners */ void nlPreconditioner_Jacobi(NLdouble* x, NLdouble* y) ; void nlPreconditioner_SSOR(NLdouble* x, NLdouble* y) ; /* Utilities for preconditioners */ /* (use the matrix in the current context) */ void nlMultDiagonal(NLdouble* xy, NLdouble omega) ; void nlMultDiagonalInverse(NLdouble* xy, NLdouble omega) ; void nlMultLowerInverse(NLdouble* x, NLdouble* y, double omega) ; void nlMultUpperInverse(NLdouble* x, NLdouble* y, NLdouble omega) ; #endif octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/src/NL/nl_context.c0000644001356000007640000001736413673436411024401 0ustar fangqadmin/* * Copyright (c) 2004-2010, Bruno Levy * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * * Redistributions of source code must retain the above copyright notice, * this list of conditions and the following disclaimer. * * Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * Neither the name of the ALICE Project-Team nor the names of its * contributors may be used to endorse or promote products derived from this * software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * * If you modify this software, you should include a notice giving the * name of the person performing the modification, the date of modification, * and the reason for such modification. * * Contact: Bruno Levy * * levy@loria.fr * * ALICE Project * LORIA, INRIA Lorraine, * Campus Scientifique, BP 239 * 54506 VANDOEUVRE LES NANCY CEDEX * FRANCE * */ #include #include #include #include #include NLContextStruct* nlCurrentContext = NULL ; void nlMatrixVectorProd_default(NLdouble* x, NLdouble* y) { nlSparseMatrixMult(&(nlCurrentContext->M), x, y) ; } NLContext nlNewContext() { NLContextStruct* result = NL_NEW(NLContextStruct) ; result->state = NL_STATE_INITIAL ; result->solver = NL_BICGSTAB ; result->max_iterations = 100 ; result->threshold = 1e-6 ; result->omega = 1.5 ; result->row_scaling = 1.0 ; result->right_hand_side = 0.0 ; result->inner_iterations = 5 ; result->matrix_vector_prod = nlMatrixVectorProd_default ; result->solver_func = nlDefaultSolver ; nlMakeCurrent(result) ; return result ; } void nlDeleteContext(NLContext context_in) { NLContextStruct* context = (NLContextStruct*)(context_in) ; if(nlCurrentContext == context) { nlCurrentContext = NULL ; } if(context->alloc_M) { nlSparseMatrixDestroy(&context->M) ; } if(context->alloc_af) { nlRowColumnDestroy(&context->af) ; } if(context->alloc_al) { nlRowColumnDestroy(&context->al) ; } if(context->alloc_xl) { nlRowColumnDestroy(&context->xl) ; } if(context->alloc_variable) { NL_DELETE_ARRAY(context->variable) ; } if(context->alloc_x) { NL_DELETE_ARRAY(context->x) ; } if(context->alloc_b) { NL_DELETE_ARRAY(context->b) ; } #ifdef NL_PARANOID NL_CLEAR(NLContextStruct, context) ; #endif NL_DELETE(context) ; } void nlMakeCurrent(NLContext context) { nlCurrentContext = (NLContextStruct*)(context) ; } NLContext nlGetCurrent() { return nlCurrentContext ; } /************************************************************************/ /* Finite state automaton */ void nlCheckState(NLenum state) { nl_assert(nlCurrentContext->state == state) ; } void nlTransition(NLenum from_state, NLenum to_state) { nlCheckState(from_state) ; nlCurrentContext->state = to_state ; } /************************************************************************/ /* Default solver */ static void nlSetupPreconditioner() { switch(nlCurrentContext->preconditioner) { case NL_PRECOND_NONE: nlCurrentContext->precond_vector_prod = NULL ; break ; case NL_PRECOND_JACOBI: nlCurrentContext->precond_vector_prod = nlPreconditioner_Jacobi ; break ; case NL_PRECOND_SSOR: nlCurrentContext->precond_vector_prod = nlPreconditioner_SSOR ; break ; default: nl_assert_not_reached ; break ; } /* Check compatibility between solver and preconditioner */ if( nlCurrentContext->solver == NL_BICGSTAB && nlCurrentContext->preconditioner == NL_PRECOND_SSOR ) { nlWarning( "nlSolve", "cannot use SSOR preconditioner with non-symmetric matrix, switching to Jacobi" ) ; nlCurrentContext->preconditioner = NL_PRECOND_JACOBI ; nlCurrentContext->precond_vector_prod = nlPreconditioner_Jacobi ; } if( nlCurrentContext->solver == NL_GMRES && nlCurrentContext->preconditioner != NL_PRECOND_NONE ) { nlWarning("nlSolve", "Preconditioner not implemented yet for GMRES") ; nlCurrentContext->preconditioner = NL_PRECOND_NONE ; nlCurrentContext->precond_vector_prod = NULL ; } if( nlCurrentContext->solver == NL_SUPERLU_EXT && nlCurrentContext->preconditioner != NL_PRECOND_NONE ) { nlWarning("nlSolve", "Preconditioner not implemented yet for SUPERLU") ; nlCurrentContext->preconditioner = NL_PRECOND_NONE ; nlCurrentContext->precond_vector_prod = NULL ; } if( nlCurrentContext->solver == NL_PERM_SUPERLU_EXT && nlCurrentContext->preconditioner != NL_PRECOND_NONE ) { nlWarning("nlSolve", "Preconditioner not implemented yet for PERMSUPERLU") ; nlCurrentContext->preconditioner = NL_PRECOND_NONE ; nlCurrentContext->precond_vector_prod = NULL ; } if( nlCurrentContext->solver == NL_SYMMETRIC_SUPERLU_EXT && nlCurrentContext->preconditioner != NL_PRECOND_NONE ) { nlWarning("nlSolve", "Preconditioner not implemented yet for PERMSUPERLU") ; nlCurrentContext->preconditioner = NL_PRECOND_NONE ; nlCurrentContext->precond_vector_prod = NULL ; } } NLboolean nlDefaultSolver() { NLboolean result = NL_TRUE ; nlSetupPreconditioner() ; switch(nlCurrentContext->solver) { case NL_CG: { if(nlCurrentContext->preconditioner == NL_PRECOND_NONE) { nlCurrentContext->used_iterations = nlSolve_CG() ; } else { nlCurrentContext->used_iterations = nlSolve_CG_precond() ; } } break ; case NL_BICGSTAB: { if(nlCurrentContext->preconditioner == NL_PRECOND_NONE) { nlCurrentContext->used_iterations = nlSolve_BICGSTAB() ; } else { nlCurrentContext->used_iterations = nlSolve_BICGSTAB_precond() ; } } break ; case NL_GMRES: { nlCurrentContext->used_iterations = nlSolve_GMRES() ; } break ; case NL_CNC_FLOAT_CRS: case NL_CNC_DOUBLE_CRS: case NL_CNC_FLOAT_BCRS2: case NL_CNC_DOUBLE_BCRS2: case NL_CNC_FLOAT_ELL: case NL_CNC_DOUBLE_ELL: case NL_CNC_FLOAT_HYB: case NL_CNC_DOUBLE_HYB: { nlCurrentContext->used_iterations = nlSolve_CNC() ; } break ; case NL_SUPERLU_EXT: case NL_PERM_SUPERLU_EXT: case NL_SYMMETRIC_SUPERLU_EXT: { result = nlSolve_SUPERLU() ; } break ; default: nl_assert_not_reached ; } return result ; } octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/src/NL/nl_linkage.h0000644001356000007640000000443513673436411024327 0ustar fangqadmin/* * Copyright (c) 2004-2010, Bruno Levy * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * * Redistributions of source code must retain the above copyright notice, * this list of conditions and the following disclaimer. * * Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * Neither the name of the ALICE Project-Team nor the names of its * contributors may be used to endorse or promote products derived from this * software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * * If you modify this software, you should include a notice giving the * name of the person performing the modification, the date of modification, * and the reason for such modification. * * Contact: Bruno Levy * * levy@loria.fr * * ALICE Project * LORIA, INRIA Lorraine, * Campus Scientifique, BP 239 * 54506 VANDOEUVRE LES NANCY CEDEX * FRANCE * */ #ifndef __LIBNL_LINKAGE__ #define __LIBNL_LINKAGE__ #ifdef WIN32 #ifdef NL_SHARED_LIBS #ifdef NL_EXPORTS #define NLAPIENTRY __declspec( dllexport ) #else #define NLAPIENTRY __declspec( dllimport ) #endif #else #define NLAPIENTRY #endif #else #define NLAPIENTRY #endif #endif octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/src/NL/nl_iterative_solvers.c0000644001356000007640000003445413673436411026465 0ustar fangqadmin/* * Copyright (c) 2004-2010, Bruno Levy * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * * Redistributions of source code must retain the above copyright notice, * this list of conditions and the following disclaimer. * * Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * Neither the name of the ALICE Project-Team nor the names of its * contributors may be used to endorse or promote products derived from this * software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * * If you modify this software, you should include a notice giving the * name of the person performing the modification, the date of modification, * and the reason for such modification. * * Contact: Bruno Levy * * levy@loria.fr * * ALICE Project * LORIA, INRIA Lorraine, * Campus Scientifique, BP 239 * 54506 VANDOEUVRE LES NANCY CEDEX * FRANCE * */ #include #include #include #include /************************************************************************/ /* Solvers */ /* * The implementation of the solvers is inspired by * the lsolver library, by Christian Badura, available from: * http://www.mathematik.uni-freiburg.de * /IAM/Research/projectskr/lin_solver/ * * About the Conjugate Gradient, details can be found in: * Ashby, Manteuffel, Saylor * A taxononmy for conjugate gradient methods * SIAM J Numer Anal 27, 1542-1568 (1990) */ NLuint nlSolve_CG() { NLdouble* b = nlCurrentContext->b ; NLdouble* x = nlCurrentContext->x ; NLdouble eps = nlCurrentContext->threshold ; NLuint max_iter = nlCurrentContext->max_iterations ; NLint N = nlCurrentContext->n ; NLdouble *g = NL_NEW_ARRAY(NLdouble, N) ; NLdouble *r = NL_NEW_ARRAY(NLdouble, N) ; NLdouble *p = NL_NEW_ARRAY(NLdouble, N) ; NLuint its=0; NLint i; NLdouble t, tau, sig, rho, gam; NLdouble b_square=ddot(N,b,1,b,1); NLdouble err=eps*eps*b_square; NLdouble accu =0.0; NLdouble * Ax=NL_NEW_ARRAY(NLdouble,nlCurrentContext->n); NLdouble curr_err; nlCurrentContext->matrix_vector_prod(x,g); daxpy(N,-1.,b,1,g,1); dscal(N,-1.,g,1); dcopy(N,g,1,r,1); curr_err = ddot(N,g,1,g,1); while ( curr_err >err && its < max_iter) { if(!(its % 100)) { printf ( "%d : %.10e -- %.10e\n", its, curr_err, err ) ; } nlCurrentContext->matrix_vector_prod(r,p); rho=ddot(N,p,1,p,1); sig=ddot(N,r,1,p,1); tau=ddot(N,g,1,r,1); t=tau/sig; daxpy(N,t,r,1,x,1); daxpy(N,-t,p,1,g,1); gam=(t*t*rho-tau)/tau; dscal(N,gam,r,1); daxpy(N,1.,g,1,r,1); ++its; curr_err = ddot(N,g,1,g,1); } nlCurrentContext->matrix_vector_prod(x,Ax); for(i = 0 ; i < N ; ++i) accu+=(Ax[i]-b[i])*(Ax[i]-b[i]); printf("in OpenNL : ||Ax-b||/||b|| = %e\n",sqrt(accu)/sqrt(b_square)); NL_DELETE_ARRAY(Ax); NL_DELETE_ARRAY(g) ; NL_DELETE_ARRAY(r) ; NL_DELETE_ARRAY(p) ; return its; } NLuint nlSolve_CG_precond() { NLdouble* b = nlCurrentContext->b ; NLdouble* x = nlCurrentContext->x ; NLdouble eps = nlCurrentContext->threshold ; NLuint max_iter = nlCurrentContext->max_iterations ; NLint N = nlCurrentContext->n ; NLdouble* r = NL_NEW_ARRAY(NLdouble, N) ; NLdouble* d = NL_NEW_ARRAY(NLdouble, N) ; NLdouble* h = NL_NEW_ARRAY(NLdouble, N) ; NLdouble *Ad = h; NLuint its=0; NLdouble rh, alpha, beta; NLdouble b_square = ddot(N,b,1,b,1); NLdouble err=eps*eps*b_square; NLint i; NLdouble * Ax=NL_NEW_ARRAY(NLdouble,nlCurrentContext->n); NLdouble accu =0.0; NLdouble curr_err; nlCurrentContext->matrix_vector_prod(x,r); daxpy(N,-1.,b,1,r,1); nlCurrentContext->precond_vector_prod(r,d); dcopy(N,d,1,h,1); rh=ddot(N,r,1,h,1); curr_err = ddot(N,r,1,r,1); while ( curr_err >err && its < max_iter) { if(!(its % 100)) { printf ( "%d : %.10e -- %.10e\n", its, curr_err, err ) ; } nlCurrentContext->matrix_vector_prod(d,Ad); alpha=rh/ddot(N,d,1,Ad,1); daxpy(N,-alpha,d,1,x,1); daxpy(N,-alpha,Ad,1,r,1); nlCurrentContext->precond_vector_prod(r,h); beta=1./rh; rh=ddot(N,r,1,h,1); beta*=rh; dscal(N,beta,d,1); daxpy(N,1.,h,1,d,1); ++its; // calcul de l'erreur courante curr_err = ddot(N,r,1,r,1); } nlCurrentContext->matrix_vector_prod(x,Ax); for(i = 0 ; i < N ; ++i) accu+=(Ax[i]-b[i])*(Ax[i]-b[i]); printf("in OpenNL : ||Ax-b||/||b|| = %e\n",sqrt(accu)/sqrt(b_square)); NL_DELETE_ARRAY(Ax); NL_DELETE_ARRAY(r) ; NL_DELETE_ARRAY(d) ; NL_DELETE_ARRAY(h) ; return its; } NLuint nlSolve_BICGSTAB() { NLdouble* b = nlCurrentContext->b ; NLdouble* x = nlCurrentContext->x ; NLdouble eps = nlCurrentContext->threshold ; NLuint max_iter = nlCurrentContext->max_iterations ; NLint N = nlCurrentContext->n ; NLint i ; NLdouble *rT = NL_NEW_ARRAY(NLdouble, N) ; NLdouble *d = NL_NEW_ARRAY(NLdouble, N) ; NLdouble *h = NL_NEW_ARRAY(NLdouble, N) ; NLdouble *u = NL_NEW_ARRAY(NLdouble, N) ; NLdouble *Ad = NL_NEW_ARRAY(NLdouble, N) ; NLdouble *t = NL_NEW_ARRAY(NLdouble, N) ; NLdouble *s = h; NLdouble rTh, rTAd, rTr, alpha, beta, omega, st, tt ; NLuint its=0; NLdouble b_square = ddot(N,b,1,b,1); NLdouble err=eps*eps*b_square; NLdouble *r = NL_NEW_ARRAY(NLdouble, N) ; NLdouble * Ax=NL_NEW_ARRAY(NLdouble,nlCurrentContext->n); NLdouble accu =0.0; nlCurrentContext->matrix_vector_prod(x,r); daxpy(N,-1.,b,1,r,1); dcopy(N,r,1,d,1); dcopy(N,d,1,h,1); dcopy(N,h,1,rT,1); nl_assert( ddot(N,rT,1,rT,1)>1e-40 ); rTh=ddot(N,rT,1,h,1); rTr=ddot(N,r,1,r,1); while ( rTr>err && its < max_iter) { if(!(its % 100)) { printf ( "%d : %.10e -- %.10e\n", its, rTr, err ) ; } nlCurrentContext->matrix_vector_prod(d,Ad); rTAd=ddot(N,rT,1,Ad,1); nl_assert( fabs(rTAd)>1e-40 ); alpha=rTh/rTAd; daxpy(N,-alpha,Ad,1,r,1); dcopy(N,h,1,s,1); daxpy(N,-alpha,Ad,1,s,1); nlCurrentContext->matrix_vector_prod(s,t); daxpy(N,1.,t,1,u,1); dscal(N,alpha,u,1); st=ddot(N,s,1,t,1); tt=ddot(N,t,1,t,1); if ( fabs(st)<1e-40 || fabs(tt)<1e-40 ) { omega = 0.; } else { omega = st/tt; } daxpy(N,-omega,t,1,r,1); daxpy(N,-alpha,d,1,x,1); daxpy(N,-omega,s,1,x,1); dcopy(N,s,1,h,1); daxpy(N,-omega,t,1,h,1); beta=(alpha/omega)/rTh; rTh=ddot(N,rT,1,h,1); beta*=rTh; dscal(N,beta,d,1); daxpy(N,1.,h,1,d,1); daxpy(N,-beta*omega,Ad,1,d,1); rTr=ddot(N,r,1,r,1); ++its; } nlCurrentContext->matrix_vector_prod(x,Ax); for(i = 0 ; i < N ; ++i){ accu+=(Ax[i]-b[i])*(Ax[i]-b[i]); } printf("in OpenNL : ||Ax-b||/||b|| = %e\n",sqrt(accu)/sqrt(b_square)); NL_DELETE_ARRAY(Ax); NL_DELETE_ARRAY(r) ; NL_DELETE_ARRAY(rT) ; NL_DELETE_ARRAY(d) ; NL_DELETE_ARRAY(h) ; NL_DELETE_ARRAY(u) ; NL_DELETE_ARRAY(Ad) ; NL_DELETE_ARRAY(t) ; return its; } NLuint nlSolve_BICGSTAB_precond() { NLdouble* b = nlCurrentContext->b ; NLdouble* x = nlCurrentContext->x ; NLdouble eps = nlCurrentContext->threshold ; NLuint max_iter = nlCurrentContext->max_iterations ; NLint N = nlCurrentContext->n ; NLint i; NLdouble *rT = NL_NEW_ARRAY(NLdouble, N) ; NLdouble *d = NL_NEW_ARRAY(NLdouble, N) ; NLdouble *h = NL_NEW_ARRAY(NLdouble, N) ; NLdouble *u = NL_NEW_ARRAY(NLdouble, N) ; NLdouble *Sd = NL_NEW_ARRAY(NLdouble, N) ; NLdouble *t = NL_NEW_ARRAY(NLdouble, N) ; NLdouble *aux = NL_NEW_ARRAY(NLdouble, N) ; NLdouble *s = h; NLdouble rTh, rTSd, rTr, alpha, beta, omega, st, tt; NLuint its=0; NLdouble b_square = ddot(N,b,1,b,1); NLdouble err = eps*eps*b_square; NLdouble *r = NL_NEW_ARRAY(NLdouble, N); NLdouble * Ax = NL_NEW_ARRAY(NLdouble,nlCurrentContext->n); NLdouble accu =0.0; nlCurrentContext->matrix_vector_prod(x,r); daxpy(N,-1.,b,1,r,1); nlCurrentContext->precond_vector_prod(r,d); dcopy(N,d,1,h,1); dcopy(N,h,1,rT,1); nl_assert( ddot(N,rT,1,rT,1)>1e-40 ); rTh=ddot(N,rT,1,h,1); rTr=ddot(N,r,1,r,1); while ( rTr>err && its < max_iter) { if(!(its % 100)) { printf ( "%d : %.10e -- %.10e\n", its, rTr, err ) ; } nlCurrentContext->matrix_vector_prod(d,aux); nlCurrentContext->precond_vector_prod(aux,Sd); rTSd=ddot(N,rT,1,Sd,1); nl_assert( fabs(rTSd)>1e-40 ); alpha=rTh/rTSd; daxpy(N,-alpha,aux,1,r,1); dcopy(N,h,1,s,1); daxpy(N,-alpha,Sd,1,s,1); nlCurrentContext->matrix_vector_prod(s,aux); nlCurrentContext->precond_vector_prod(aux,t); daxpy(N,1.,t,1,u,1); dscal(N,alpha,u,1); st=ddot(N,s,1,t,1); tt=ddot(N,t,1,t,1); if ( fabs(st)<1e-40 || fabs(tt)<1e-40 ) { omega = 0.; } else { omega = st/tt; } daxpy(N,-omega,aux,1,r,1); daxpy(N,-alpha,d,1,x,1); daxpy(N,-omega,s,1,x,1); dcopy(N,s,1,h,1); daxpy(N,-omega,t,1,h,1); beta=(alpha/omega)/rTh; rTh=ddot(N,rT,1,h,1); beta*=rTh; dscal(N,beta,d,1); daxpy(N,1.,h,1,d,1); daxpy(N,-beta*omega,Sd,1,d,1); rTr=ddot(N,r,1,r,1); ++its; } nlCurrentContext->matrix_vector_prod(x,Ax); for(i = 0 ; i < N ; ++i){ accu+=(Ax[i]-b[i])*(Ax[i]-b[i]); } printf("in OpenNL : ||Ax-b||/||b|| = %e\n",sqrt(accu)/sqrt(b_square)); NL_DELETE_ARRAY(Ax); NL_DELETE_ARRAY(r); NL_DELETE_ARRAY(rT); NL_DELETE_ARRAY(d); NL_DELETE_ARRAY(h); NL_DELETE_ARRAY(u); NL_DELETE_ARRAY(Sd); NL_DELETE_ARRAY(t); NL_DELETE_ARRAY(aux); return its; } NLuint nlSolve_GMRES() { NLdouble* b = nlCurrentContext->b ; NLdouble* x = nlCurrentContext->x ; NLdouble eps = nlCurrentContext->threshold ; NLint max_iter = nlCurrentContext->max_iterations ; NLint n = nlCurrentContext->n ; NLint m = nlCurrentContext->inner_iterations ; typedef NLdouble *NLdoubleP; NLdouble *V = NL_NEW_ARRAY(NLdouble, n*(m+1) ) ; NLdouble *U = NL_NEW_ARRAY(NLdouble, m*(m+1)/2 ) ; NLdouble *r = NL_NEW_ARRAY(NLdouble, n ) ; NLdouble *y = NL_NEW_ARRAY(NLdouble, m+1 ) ; NLdouble *c = NL_NEW_ARRAY(NLdouble, m ) ; NLdouble *s = NL_NEW_ARRAY(NLdouble, m ) ; NLdouble **v = NL_NEW_ARRAY(NLdoubleP, m+1 ) ; NLdouble * Ax = NL_NEW_ARRAY(NLdouble,nlCurrentContext->n); NLdouble accu =0.0; NLint i, j, io, uij, u0j ; NLint its = -1 ; NLdouble beta, h, rd, dd, nrm2b ; for ( i=0; i<=m; ++i ){ v[i]=V+i*n ; } nrm2b=dnrm2(n,b,1); io=0; do { /* outer loop */ ++io; nlCurrentContext->matrix_vector_prod(x,r); daxpy(n,-1.,b,1,r,1); beta=dnrm2(n,r,1); dcopy(n,r,1,v[0],1); dscal(n,1./beta,v[0],1); y[0]=beta; j=0; uij=0; do { /* inner loop: j=0,...,m-1 */ u0j=uij; nlCurrentContext->matrix_vector_prod(v[j],v[j+1]); dgemv( Transpose,n,j+1,1.,V,n,v[j+1],1,0.,U+u0j,1 ); dgemv( NoTranspose,n,j+1,-1.,V,n,U+u0j,1,1.,v[j+1],1 ); h=dnrm2(n,v[j+1],1); dscal(n,1./h,v[j+1],1); for (i=0; i=eps*nrm2b ) ; { /* minimiere bzgl Y */ dtpsv( UpperTriangle, NoTranspose, NotUnitTriangular, j,U,y,1 ); /* correct X */ dgemv(NoTranspose,n,j,-1.,V,n,y,1,1.,x,1); } } while ( fabs(y[j])>=eps*nrm2b && (m*(io-1)+j) < max_iter); /* Count the inner iterations */ its = m*(io-1)+j; nlCurrentContext->matrix_vector_prod(x,Ax); for(i = 0 ; i < n ; ++i) accu+=(Ax[i]-b[i])*(Ax[i]-b[i]); printf("in OpenNL : ||Ax-b||/||b|| = %e\n",sqrt(accu)/nrm2b); NL_DELETE_ARRAY(Ax); NL_DELETE_ARRAY(V) ; NL_DELETE_ARRAY(U) ; NL_DELETE_ARRAY(r) ; NL_DELETE_ARRAY(y) ; NL_DELETE_ARRAY(c) ; NL_DELETE_ARRAY(s) ; NL_DELETE_ARRAY(v) ; return its; } octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/src/NL/nl_superlu.h0000644001356000007640000000406213673436411024410 0ustar fangqadmin/* * Copyright (c) 2004-2010, Bruno Levy * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * * Redistributions of source code must retain the above copyright notice, * this list of conditions and the following disclaimer. * * Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * Neither the name of the ALICE Project-Team nor the names of its * contributors may be used to endorse or promote products derived from this * software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * * If you modify this software, you should include a notice giving the * name of the person performing the modification, the date of modification, * and the reason for such modification. * * Contact: Bruno Levy * * levy@loria.fr * * ALICE Project * LORIA, INRIA Lorraine, * Campus Scientifique, BP 239 * 54506 VANDOEUVRE LES NANCY CEDEX * FRANCE * */ #ifndef __NL_SUPERLU__ #define __NL_SUPERLU__ #include NLboolean nlSolve_SUPERLU() ; #endif octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/src/NL/nl_private.h0000644001356000007640000001227513673436411024370 0ustar fangqadmin/* * Copyright (c) 2004-2010, Bruno Levy * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * * Redistributions of source code must retain the above copyright notice, * this list of conditions and the following disclaimer. * * Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * Neither the name of the ALICE Project-Team nor the names of its * contributors may be used to endorse or promote products derived from this * software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * * If you modify this software, you should include a notice giving the * name of the person performing the modification, the date of modification, * and the reason for such modification. * * Contact: Bruno Levy * * levy@loria.fr * * ALICE Project * LORIA, INRIA Lorraine, * Campus Scientifique, BP 239 * 54506 VANDOEUVRE LES NANCY CEDEX * FRANCE * */ #ifndef __NL_PRIVATE__ #define __NL_PRIVATE__ #include #include #include #include #include /******************************************************************************/ /*** Assertion checks ***/ /******************************************************************************/ void nl_assertion_failed(const char* cond, const char* file, int line) ; void nl_range_assertion_failed( double x, double min_val, double max_val, const char* file, int line ) ; void nl_should_not_have_reached(const char* file, int line) ; #define nl_assert(x) { \ if(!(x)) { \ nl_assertion_failed(#x,__FILE__, __LINE__) ; \ } \ } #define nl_range_assert(x,min_val,max_val) { \ if(((x) < (min_val)) || ((x) > (max_val))) { \ nl_range_assertion_failed(x, min_val, max_val, \ __FILE__, __LINE__ \ ) ; \ } \ } #define nl_assert_not_reached { \ nl_should_not_have_reached(__FILE__, __LINE__) ; \ } #ifdef NL_DEBUG #define nl_debug_assert(x) nl_assert(x) #define nl_debug_range_assert(x,min_val,max_val) \ nl_range_assert(x,min_val,max_val) #else #define nl_debug_assert(x) #define nl_debug_range_assert(x,min_val,max_val) #endif #ifdef NL_PARANOID #define nl_parano_assert(x) nl_assert(x) #define nl_parano_range_assert(x,min_val,max_val) \ nl_range_assert(x,min_val,max_val) #else #define nl_parano_assert(x) #define nl_parano_range_assert(x,min_val,max_val) #endif /******************************************************************************/ /*** Error reporting ***/ /******************************************************************************/ void nlError(const char* function, const char* message) ; void nlWarning(const char* function, const char* message) ; /******************************************************************************/ /*** OS ***/ /******************************************************************************/ NLdouble nlCurrentTime() ; /******************************************************************************/ /* classic macros */ #ifndef MIN #define MIN(x,y) (((x) < (y)) ? (x) : (y)) #endif #ifndef MAX #define MAX(x,y) (((x) > (y)) ? (x) : (y)) #endif /******************************************************************************/ /* Memory management */ /******************************************************************************/ #define NL_NEW(T) (T*)(calloc(1, sizeof(T))) #define NL_NEW_ARRAY(T,NB) (T*)(calloc((NB),sizeof(T))) #define NL_RENEW_ARRAY(T,x,NB) (T*)(realloc(x,(NB)*sizeof(T))) #define NL_DELETE(x) free(x); x = NULL #define NL_DELETE_ARRAY(x) free(x); x = NULL #define NL_CLEAR(T, x) memset(x, 0, sizeof(T)) #define NL_CLEAR_ARRAY(T,x,NB) memset(x, 0, (NB)*sizeof(T)) #endif octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/src/NL/nl_context.h0000644001356000007640000001001113673436411024364 0ustar fangqadmin/* * Copyright (c) 2004-2010, Bruno Levy * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * * Redistributions of source code must retain the above copyright notice, * this list of conditions and the following disclaimer. * * Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * Neither the name of the ALICE Project-Team nor the names of its * contributors may be used to endorse or promote products derived from this * software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * * If you modify this software, you should include a notice giving the * name of the person performing the modification, the date of modification, * and the reason for such modification. * * Contact: Bruno Levy * * levy@loria.fr * * ALICE Project * LORIA, INRIA Lorraine, * Campus Scientifique, BP 239 * 54506 VANDOEUVRE LES NANCY CEDEX * FRANCE * */ #ifndef __NL_CONTEXT__ #define __NL_CONTEXT__ #include #include /******************************************************************************/ /* NLContext data structure */ typedef void(*NLMatrixFunc)(double* x, double* y) ; typedef NLboolean(*NLSolverFunc)() ; typedef struct { NLdouble value ; NLboolean locked ; NLuint index ; } NLVariable ; #define NL_STATE_INITIAL 0 #define NL_STATE_SYSTEM 1 #define NL_STATE_MATRIX 2 #define NL_STATE_ROW 3 #define NL_STATE_MATRIX_CONSTRUCTED 4 #define NL_STATE_SYSTEM_CONSTRUCTED 5 #define NL_STATE_SOLVED 6 typedef struct { NLenum state ; NLVariable* variable ; NLuint n ; NLSparseMatrix M ; NLRowColumn af ; NLRowColumn al ; NLRowColumn xl ; NLdouble* x ; NLdouble* b ; NLdouble right_hand_side ; NLdouble row_scaling ; NLenum solver ; NLenum preconditioner ; NLuint nb_variables ; NLuint current_row ; NLboolean least_squares ; NLboolean symmetric ; NLuint max_iterations ; NLuint inner_iterations ; NLdouble threshold ; NLdouble omega ; NLboolean normalize_rows ; NLboolean alloc_M ; NLboolean alloc_af ; NLboolean alloc_al ; NLboolean alloc_xl ; NLboolean alloc_variable ; NLboolean alloc_x ; NLboolean alloc_b ; NLuint used_iterations ; NLdouble error ; NLdouble elapsed_time ; NLMatrixFunc matrix_vector_prod ; NLMatrixFunc precond_vector_prod ; NLSolverFunc solver_func ; } NLContextStruct ; extern NLContextStruct* nlCurrentContext ; void nlCheckState(NLenum state) ; void nlTransition(NLenum from_state, NLenum to_state) ; void nlMatrixVectorProd_default(NLdouble* x, NLdouble* y) ; NLboolean nlDefaultSolver() ; #endif octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/src/NL/nl_api.c0000644001356000007640000004645113673436411023465 0ustar fangqadmin/* * Copyright (c) 2004-2010, Bruno Levy * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * * Redistributions of source code must retain the above copyright notice, * this list of conditions and the following disclaimer. * * Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * Neither the name of the ALICE Project-Team nor the names of its * contributors may be used to endorse or promote products derived from this * software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * * If you modify this software, you should include a notice giving the * name of the person performing the modification, the date of modification, * and the reason for such modification. * * Contact: Bruno Levy * * levy@loria.fr * * ALICE Project * LORIA, INRIA Lorraine, * Campus Scientifique, BP 239 * 54506 VANDOEUVRE LES NANCY CEDEX * FRANCE * */ #include #include #include #include #include #include #include NLboolean nlInitExtension(const char* extension) { #ifdef NL_USE_SUPERLU if(!strcmp(extension, "SUPERLU")) { return NL_TRUE ; } #endif #ifdef NL_USE_CNC if(!strcmp(extension, "CNC")) { return NL_TRUE ; } #endif return NL_FALSE ; } /************************************************************************************/ /* Get/Set parameters */ void nlSolverParameterd(NLenum pname, NLdouble param) { nlCheckState(NL_STATE_INITIAL) ; switch(pname) { case NL_SOLVER: { nlCurrentContext->solver = (NLenum)param ; } break ; case NL_NB_VARIABLES: { nl_assert(param > 0) ; nlCurrentContext->nb_variables = (NLuint)param ; } break ; case NL_LEAST_SQUARES: { nlCurrentContext->least_squares = (NLboolean)param ; } break ; case NL_MAX_ITERATIONS: { nl_assert(param > 0) ; nlCurrentContext->max_iterations = (NLuint)param ; } break ; case NL_THRESHOLD: { nl_assert(param >= 0) ; nlCurrentContext->threshold = (NLdouble)param ; } break ; case NL_OMEGA: { nl_range_assert(param,1.0,2.0) ; nlCurrentContext->omega = (NLdouble)param ; } break ; case NL_SYMMETRIC: { nlCurrentContext->symmetric = (NLboolean)param ; } case NL_INNER_ITERATIONS: { nl_assert(param > 0) ; nlCurrentContext->inner_iterations = (NLuint)param ; } break ; case NL_PRECONDITIONER: { nlCurrentContext->preconditioner = (NLuint)param ; } break ; default: { nl_assert_not_reached ; } break ; } } void nlSolverParameteri(NLenum pname, NLint param) { nlCheckState(NL_STATE_INITIAL) ; switch(pname) { case NL_SOLVER: { nlCurrentContext->solver = (NLenum)param ; } break ; case NL_NB_VARIABLES: { nl_assert(param > 0) ; nlCurrentContext->nb_variables = (NLuint)param ; } break ; case NL_LEAST_SQUARES: { nlCurrentContext->least_squares = (NLboolean)param ; } break ; case NL_MAX_ITERATIONS: { nl_assert(param > 0) ; nlCurrentContext->max_iterations = (NLuint)param ; } break ; case NL_THRESHOLD: { nl_assert(param >= 0) ; nlCurrentContext->threshold = (NLdouble)param ; } break ; case NL_OMEGA: { nl_range_assert(param,1,2) ; nlCurrentContext->omega = (NLdouble)param ; } break ; case NL_SYMMETRIC: { nlCurrentContext->symmetric = (NLboolean)param ; } case NL_INNER_ITERATIONS: { nl_assert(param > 0) ; nlCurrentContext->inner_iterations = (NLuint)param ; } break ; case NL_PRECONDITIONER: { nlCurrentContext->preconditioner = (NLuint)param ; } break ; default: { nl_assert_not_reached ; } break ; } } void nlRowParameterd(NLenum pname, NLdouble param) { nlCheckState(NL_STATE_MATRIX) ; switch(pname) { case NL_RIGHT_HAND_SIDE: { nlCurrentContext->right_hand_side = param ; } break ; case NL_ROW_SCALING: { nlCurrentContext->row_scaling = param ; } break ; } } void nlRowParameteri(NLenum pname, NLint param) { nlCheckState(NL_STATE_MATRIX) ; switch(pname) { case NL_RIGHT_HAND_SIDE: { nlCurrentContext->right_hand_side = (NLdouble)param ; } break ; case NL_ROW_SCALING: { nlCurrentContext->row_scaling = (NLdouble)param ; } break ; } } void nlGetBooleanv(NLenum pname, NLboolean* params) { switch(pname) { case NL_LEAST_SQUARES: { *params = nlCurrentContext->least_squares ; } break ; case NL_SYMMETRIC: { *params = nlCurrentContext->symmetric ; } break ; default: { nl_assert_not_reached ; } break ; } } void nlGetDoublev(NLenum pname, NLdouble* params) { switch(pname) { case NL_SOLVER: { *params = (NLdouble)(nlCurrentContext->solver) ; } break ; case NL_NB_VARIABLES: { *params = (NLdouble)(nlCurrentContext->nb_variables) ; } break ; case NL_LEAST_SQUARES: { *params = (NLdouble)(nlCurrentContext->least_squares) ; } break ; case NL_MAX_ITERATIONS: { *params = (NLdouble)(nlCurrentContext->max_iterations) ; } break ; case NL_THRESHOLD: { *params = (NLdouble)(nlCurrentContext->threshold) ; } break ; case NL_OMEGA: { *params = (NLdouble)(nlCurrentContext->omega) ; } break ; case NL_SYMMETRIC: { *params = (NLdouble)(nlCurrentContext->symmetric) ; } break ; case NL_USED_ITERATIONS: { *params = (NLdouble)(nlCurrentContext->used_iterations) ; } break ; case NL_ERROR: { *params = (NLdouble)(nlCurrentContext->error) ; } break ; case NL_ELAPSED_TIME: { *params = (NLdouble)(nlCurrentContext->elapsed_time) ; } break ; case NL_PRECONDITIONER: { *params = (NLdouble)(nlCurrentContext->preconditioner) ; } break ; default: { nl_assert_not_reached ; } break ; } } void nlGetIntergerv(NLenum pname, NLint* params) { switch(pname) { case NL_SOLVER: { *params = (NLint)(nlCurrentContext->solver) ; } break ; case NL_NB_VARIABLES: { *params = (NLint)(nlCurrentContext->nb_variables) ; } break ; case NL_LEAST_SQUARES: { *params = (NLint)(nlCurrentContext->least_squares) ; } break ; case NL_MAX_ITERATIONS: { *params = (NLint)(nlCurrentContext->max_iterations) ; } break ; case NL_THRESHOLD: { *params = (NLint)(nlCurrentContext->threshold) ; } break ; case NL_OMEGA: { *params = (NLint)(nlCurrentContext->omega) ; } break ; case NL_SYMMETRIC: { *params = (NLint)(nlCurrentContext->symmetric) ; } break ; case NL_USED_ITERATIONS: { *params = (NLint)(nlCurrentContext->used_iterations) ; } break ; case NL_PRECONDITIONER: { *params = (NLint)(nlCurrentContext->preconditioner) ; } break ; default: { nl_assert_not_reached ; } break ; } } /************************************************************************************/ /* Enable / Disable */ void nlEnable(NLenum pname) { switch(pname) { case NL_NORMALIZE_ROWS: { nl_assert(nlCurrentContext->state != NL_STATE_ROW) ; nlCurrentContext->normalize_rows = NL_TRUE ; } break ; default: { nl_assert_not_reached ; } } } void nlDisable(NLenum pname) { switch(pname) { case NL_NORMALIZE_ROWS: { nl_assert(nlCurrentContext->state != NL_STATE_ROW) ; nlCurrentContext->normalize_rows = NL_FALSE ; } break ; default: { nl_assert_not_reached ; } } } NLboolean nlIsEnabled(NLenum pname) { switch(pname) { case NL_NORMALIZE_ROWS: { return nlCurrentContext->normalize_rows ; } break ; default: { nl_assert_not_reached ; } } return NL_FALSE ; } /************************************************************************************/ /* NL functions */ void nlSetFunction(NLenum pname, void* param) { switch(pname) { case NL_FUNC_SOLVER: nlCurrentContext->solver_func = (NLSolverFunc)(param) ; break ; case NL_FUNC_MATRIX: nlCurrentContext->matrix_vector_prod = (NLMatrixFunc)(param) ; nlCurrentContext->solver = NL_SOLVER_USER ; break ; case NL_FUNC_PRECONDITIONER: nlCurrentContext->precond_vector_prod = (NLMatrixFunc)(param) ; nlCurrentContext->preconditioner = NL_PRECOND_USER ; break ; default: nl_assert_not_reached ; } } void nlGetFunction(NLenum pname, void** param) { switch(pname) { case NL_FUNC_SOLVER: *param = nlCurrentContext->solver_func ; break ; case NL_FUNC_MATRIX: *param = nlCurrentContext->matrix_vector_prod ; break ; case NL_FUNC_PRECONDITIONER: *param = nlCurrentContext->precond_vector_prod ; break ; default: nl_assert_not_reached ; } } /************************************************************************************/ /* Get/Set Lock/Unlock variables */ void nlSetVariable(NLuint index, NLdouble value) { nlCheckState(NL_STATE_SYSTEM) ; nl_debug_range_assert(index, 0, nlCurrentContext->nb_variables - 1) ; nlCurrentContext->variable[index].value = value ; } NLdouble nlGetVariable(NLuint index) { nl_assert(nlCurrentContext->state != NL_STATE_INITIAL) ; nl_debug_range_assert(index, 0, nlCurrentContext->nb_variables - 1) ; return nlCurrentContext->variable[index].value ; } void nlLockVariable(NLuint index) { nlCheckState(NL_STATE_SYSTEM) ; nl_debug_range_assert(index, 0, nlCurrentContext->nb_variables - 1) ; nlCurrentContext->variable[index].locked = NL_TRUE ; } void nlUnlockVariable(NLuint index) { nlCheckState(NL_STATE_SYSTEM) ; nl_debug_range_assert(index, 0, nlCurrentContext->nb_variables - 1) ; nlCurrentContext->variable[index].locked = NL_FALSE ; } NLboolean nlVariableIsLocked(NLuint index) { nl_assert(nlCurrentContext->state != NL_STATE_INITIAL) ; nl_debug_range_assert(index, 0, nlCurrentContext->nb_variables - 1) ; return nlCurrentContext->variable[index].locked ; } /************************************************************************************/ /* System construction */ void nlVariablesToVector() { NLuint i ; nl_assert(nlCurrentContext->alloc_x) ; nl_assert(nlCurrentContext->alloc_variable) ; for(i=0; inb_variables; i++) { NLVariable* v = &(nlCurrentContext->variable[i]) ; if(!v->locked) { nl_assert(v->index < nlCurrentContext->n) ; nlCurrentContext->x[v->index] = v->value ; } } } void nlVectorToVariables() { NLuint i ; nl_assert(nlCurrentContext->alloc_x) ; nl_assert(nlCurrentContext->alloc_variable) ; for(i=0; inb_variables; i++) { NLVariable* v = &(nlCurrentContext->variable[i]) ; if(!v->locked) { nl_assert(v->index < nlCurrentContext->n) ; v->value = nlCurrentContext->x[v->index] ; } } } void nlBeginSystem() { nlTransition(NL_STATE_INITIAL, NL_STATE_SYSTEM) ; nl_assert(nlCurrentContext->nb_variables > 0) ; nlCurrentContext->variable = NL_NEW_ARRAY( NLVariable, nlCurrentContext->nb_variables ) ; nlCurrentContext->alloc_variable = NL_TRUE ; } void nlEndSystem() { nlTransition(NL_STATE_MATRIX_CONSTRUCTED, NL_STATE_SYSTEM_CONSTRUCTED) ; } void nlBeginMatrix() { NLuint i ; NLuint n = 0 ; NLenum storage = NL_MATRIX_STORE_ROWS ; nlTransition(NL_STATE_SYSTEM, NL_STATE_MATRIX) ; for(i=0; inb_variables; i++) { if(!nlCurrentContext->variable[i].locked) { nlCurrentContext->variable[i].index = n ; n++ ; } else { nlCurrentContext->variable[i].index = ~0 ; } } nlCurrentContext->n = n ; /* SSOR preconditioner requires rows and columns */ if(nlCurrentContext->preconditioner == NL_PRECOND_SSOR) { storage = (storage | NL_MATRIX_STORE_COLUMNS) ; } /* a least squares problem results in a symmetric matrix */ if(nlCurrentContext->least_squares && !nlSolverIsCNC(nlCurrentContext->solver)) { nlCurrentContext->symmetric = NL_TRUE ; } if(nlCurrentContext->symmetric) { storage = (storage | NL_MATRIX_STORE_SYMMETRIC) ; } /* SuperLU storage does not support symmetric storage */ if( nlCurrentContext->solver == NL_SUPERLU_EXT || nlCurrentContext->solver == NL_PERM_SUPERLU_EXT || nlCurrentContext->solver == NL_SYMMETRIC_SUPERLU_EXT ) { storage = (storage & ~NL_SYMMETRIC) ; } nlSparseMatrixConstruct(&nlCurrentContext->M, n, n, storage) ; nlCurrentContext->alloc_M = NL_TRUE ; nlCurrentContext->x = NL_NEW_ARRAY(NLdouble, n) ; nlCurrentContext->alloc_x = NL_TRUE ; nlCurrentContext->b = NL_NEW_ARRAY(NLdouble, n) ; nlCurrentContext->alloc_b = NL_TRUE ; nlVariablesToVector() ; nlRowColumnConstruct(&nlCurrentContext->af) ; nlCurrentContext->alloc_af = NL_TRUE ; nlRowColumnConstruct(&nlCurrentContext->al) ; nlCurrentContext->alloc_al = NL_TRUE ; nlRowColumnConstruct(&nlCurrentContext->xl) ; nlCurrentContext->alloc_xl = NL_TRUE ; nlCurrentContext->current_row = 0 ; } void nlEndMatrix() { nlTransition(NL_STATE_MATRIX, NL_STATE_MATRIX_CONSTRUCTED) ; nlRowColumnDestroy(&nlCurrentContext->af) ; nlCurrentContext->alloc_af = NL_FALSE ; nlRowColumnDestroy(&nlCurrentContext->al) ; nlCurrentContext->alloc_al = NL_FALSE ; nlRowColumnDestroy(&nlCurrentContext->xl) ; nlCurrentContext->alloc_al = NL_FALSE ; if(!nlCurrentContext->least_squares) { nl_assert( nlCurrentContext->current_row == nlCurrentContext->n ) ; } } void nlBeginRow() { nlTransition(NL_STATE_MATRIX, NL_STATE_ROW) ; nlRowColumnZero(&nlCurrentContext->af) ; nlRowColumnZero(&nlCurrentContext->al) ; nlRowColumnZero(&nlCurrentContext->xl) ; } void nlScaleRow(NLdouble s) { NLRowColumn* af = &nlCurrentContext->af ; NLRowColumn* al = &nlCurrentContext->al ; NLuint nf = af->size ; NLuint nl = al->size ; NLuint i ; for(i=0; icoeff[i].value *= s ; } for(i=0; icoeff[i].value *= s ; } nlCurrentContext->right_hand_side *= s ; } void nlNormalizeRow(NLdouble weight) { NLRowColumn* af = &nlCurrentContext->af ; NLRowColumn* al = &nlCurrentContext->al ; NLuint nf = af->size ; NLuint nl = al->size ; NLuint i ; NLdouble norm = 0.0 ; for(i=0; icoeff[i].value * af->coeff[i].value ; } for(i=0; icoeff[i].value * al->coeff[i].value ; } norm = sqrt(norm) ; nlScaleRow(weight / norm) ; } void nlEndRow() { NLRowColumn* af = &nlCurrentContext->af ; NLRowColumn* al = &nlCurrentContext->al ; NLRowColumn* xl = &nlCurrentContext->xl ; NLSparseMatrix* M = &nlCurrentContext->M ; NLdouble* b = nlCurrentContext->b ; NLuint nf = af->size ; NLuint nl = al->size ; NLuint current_row = nlCurrentContext->current_row ; NLuint i ; NLuint j ; NLdouble S ; nlTransition(NL_STATE_ROW, NL_STATE_MATRIX) ; if(nlCurrentContext->normalize_rows) { nlNormalizeRow(nlCurrentContext->row_scaling) ; } else { nlScaleRow(nlCurrentContext->row_scaling) ; } // if least_squares : we want to solve // A'A x = A'b // if(nlCurrentContext->least_squares) { for(i=0; icoeff[i].index, af->coeff[j].index, af->coeff[i].value * af->coeff[j].value ) ; } } S = -nlCurrentContext->right_hand_side ; for(j=0; jcoeff[j].value * xl->coeff[j].value ; } for(i=0; icoeff[i].index ] -= af->coeff[i].value * S ; } } else { for(i=0; icoeff[i].index, af->coeff[i].value ) ; } b[current_row] = -nlCurrentContext->right_hand_side ; for(i=0; icoeff[i].value * xl->coeff[i].value ; } } nlCurrentContext->current_row++ ; nlCurrentContext->right_hand_side = 0.0 ; nlCurrentContext->row_scaling = 1.0 ; } void nlCoefficient(NLuint index, NLdouble value) { NLVariable* v = NULL ; nlCheckState(NL_STATE_ROW) ; nl_debug_range_assert(index, 0, nlCurrentContext->nb_variables - 1) ; v = &(nlCurrentContext->variable[index]) ; if(v->locked) { nlRowColumnAppend(&(nlCurrentContext->al), 0, value) ; nlRowColumnAppend(&(nlCurrentContext->xl), 0, v->value) ; } else { nlRowColumnAppend(&(nlCurrentContext->af), v->index, value) ; } } void nlBegin(NLenum prim) { switch(prim) { case NL_SYSTEM: { nlBeginSystem() ; } break ; case NL_MATRIX: { nlBeginMatrix() ; } break ; case NL_ROW: { nlBeginRow() ; } break ; default: { nl_assert_not_reached ; } } } void nlEnd(NLenum prim) { switch(prim) { case NL_SYSTEM: { nlEndSystem() ; } break ; case NL_MATRIX: { nlEndMatrix() ; } break ; case NL_ROW: { nlEndRow() ; } break ; default: { nl_assert_not_reached ; } } } /************************************************************************/ /* nlSolve() driver routine */ NLboolean nlSolve() { NLboolean result ; NLdouble start_time = nlCurrentTime() ; nlCheckState(NL_STATE_SYSTEM_CONSTRUCTED) ; nlCurrentContext->elapsed_time = 0 ; result = nlCurrentContext->solver_func() ; nlVectorToVariables() ; nlCurrentContext->elapsed_time = nlCurrentTime() - start_time ; nlTransition(NL_STATE_SYSTEM_CONSTRUCTED, NL_STATE_SOLVED) ; return result ; } octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/src/NL/nl_blas.h0000644001356000007640000000634713673436411023642 0ustar fangqadmin/* * Copyright (c) 2004-2010, Bruno Levy * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * * Redistributions of source code must retain the above copyright notice, * this list of conditions and the following disclaimer. * * Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * Neither the name of the ALICE Project-Team nor the names of its * contributors may be used to endorse or promote products derived from this * software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * * If you modify this software, you should include a notice giving the * name of the person performing the modification, the date of modification, * and the reason for such modification. * * Contact: Bruno Levy * * levy@loria.fr * * ALICE Project * LORIA, INRIA Lorraine, * Campus Scientifique, BP 239 * 54506 VANDOEUVRE LES NANCY CEDEX * FRANCE * */ #include #ifndef __NL_BLAS__ #define __NL_BLAS__ #ifndef NL_FORTRAN_WRAP #define NL_FORTRAN_WRAP(x) x##_ #endif /***********************************************************************************/ /* C wrappers for BLAS routines */ /* x <- a*x */ void dscal( int n, double alpha, double *x, int incx ) ; /* y <- x */ void dcopy( int n, double *x, int incx, double *y, int incy ) ; /* y <- a*x+y */ void daxpy( int n, double alpha, double *x, int incx, double *y, int incy ) ; /* returns x^T*y */ double ddot( int n, double *x, int incx, double *y, int incy ) ; /** returns |x|_2 */ double dnrm2( int n, double *x, int incx ) ; typedef enum { NoTranspose=0, Transpose=1, ConjugateTranspose=2 } MatrixTranspose ; typedef enum { UpperTriangle=0, LowerTriangle=1 } MatrixTriangle ; typedef enum { UnitTriangular=0, NotUnitTriangular=1 } MatrixUnitTriangular ; /** x <- A^{-1}*x, x <- A^{-T}*x */ void dtpsv( MatrixTriangle uplo, MatrixTranspose trans, MatrixUnitTriangular diag, int n, double *AP, double *x, int incx ) ; /** y <- alpha*A*x + beta*y, y <- alpha*A^T*x + beta*y, A-(m,n) */ void dgemv( MatrixTranspose trans, int m, int n, double alpha, double *A, int ldA, double *x, int incx, double beta, double *y, int incy ) ; #endif octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/src/NL/nl_cnc_gpu_cuda.c0000644001356000007640000000705013673436411025316 0ustar fangqadmin/* * Copyright (c) 2004-2010, Bruno Levy * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * * Redistributions of source code must retain the above copyright notice, * this list of conditions and the following disclaimer. * * Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * Neither the name of the ALICE Project-Team nor the names of its * contributors may be used to endorse or promote products derived from this * software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * * If you modify this software, you should include a notice giving the * name of the person performing the modification, the date of modification, * and the reason for such modification. * * Contact: Bruno Levy * * levy@loria.fr * * ALICE Project * LORIA, INRIA Lorraine, * Campus Scientifique, BP 239 * 54506 VANDOEUVRE LES NANCY CEDEX * FRANCE * */ #include #include NLboolean nlSolverIsCNC(NLint solver){ return solver == NL_CNC_FLOAT_CRS || solver == NL_CNC_DOUBLE_CRS || solver == NL_CNC_FLOAT_BCRS2 || solver == NL_CNC_DOUBLE_BCRS2 || solver == NL_CNC_FLOAT_ELL || solver == NL_CNC_DOUBLE_ELL || solver == NL_CNC_FLOAT_HYB || solver == NL_CNC_DOUBLE_HYB; } /************************************************************************/ /* CNC wrapper */ #ifdef NL_USE_CNC NLuint nlSolve_CNC() { unsigned int i; NLdouble* b = nlCurrentContext->b ; NLdouble* x = nlCurrentContext->x ; NLdouble eps = nlCurrentContext->threshold ; NLuint max_iter = nlCurrentContext->max_iterations ; NLSparseMatrix *M = &(nlCurrentContext->M); // local variables for the final error computation NLuint val_ret; NLdouble * Ax=NL_NEW_ARRAY(NLdouble,nlCurrentContext->n); NLdouble accu = 0.0; NLdouble b_square = 0.0; //nl_assert( M->n == nlCurrentContext->n); // call to cnc solver val_ret=cnc_solve_cg(M, b, x, max_iter, eps, nlCurrentContext->solver); // compute the final error nlCurrentContext->matrix_vector_prod(x,Ax); for(i = 0 ; i < M->n ; ++i) { accu +=(Ax[i]-b[i])*(Ax[i]-b[i]); b_square += b[i]*b[i]; } printf("in OpenNL : ||Ax-b||/||b|| = %e\n",sqrt(accu)/sqrt(b_square)); // cleaning NL_DELETE_ARRAY(Ax); return val_ret; } #else NLuint nlSolve_CNC() { nl_assert_not_reached ; } #endif octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/src/NL/nl_cnc_gpu_cuda.h0000644001356000007640000000424313673436411025324 0ustar fangqadmin/* * Copyright (c) 2004-2010, Bruno Levy * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * * Redistributions of source code must retain the above copyright notice, * this list of conditions and the following disclaimer. * * Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * Neither the name of the ALICE Project-Team nor the names of its * contributors may be used to endorse or promote products derived from this * software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * * If you modify this software, you should include a notice giving the * name of the person performing the modification, the date of modification, * and the reason for such modification. * * Contact: Bruno Levy * * levy@loria.fr * * ALICE Project * LORIA, INRIA Lorraine, * Campus Scientifique, BP 239 * 54506 VANDOEUVRE LES NANCY CEDEX * FRANCE * */ #ifndef __NL_CNC_GPU_CUDA__ #define __NL_CNC_GPU_CUDA__ #ifdef __cplusplus extern "C" { #endif #include NLboolean nlSolverIsCNC(NLint solver) ; NLuint nlSolve_CNC() ; #ifdef __cplusplus } #endif #endif octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/src/NL/nl_iterative_solvers.h0000644001356000007640000000457413673436411026472 0ustar fangqadmin/* * Copyright (c) 2004-2010, Bruno Levy * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * * Redistributions of source code must retain the above copyright notice, * this list of conditions and the following disclaimer. * * Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * Neither the name of the ALICE Project-Team nor the names of its * contributors may be used to endorse or promote products derived from this * software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * * If you modify this software, you should include a notice giving the * name of the person performing the modification, the date of modification, * and the reason for such modification. * * Contact: Bruno Levy * * levy@loria.fr * * ALICE Project * LORIA, INRIA Lorraine, * Campus Scientifique, BP 239 * 54506 VANDOEUVRE LES NANCY CEDEX * FRANCE * * The implementation of the solvers is inspired by * the lsolver library, by Christian Badura, available from: * http://www.mathematik.uni-freiburg.de * /IAM/Research/projectskr/lin_solver/ * */ #ifndef __NL_ITERATIVE_SOLVERS__ #define __NL_ITERATIVE_SOLVERS__ #include NLuint nlSolve_CG() ; NLuint nlSolve_CG_precond() ; NLuint nlSolve_BICGSTAB() ; NLuint nlSolve_BICGSTAB_precond() ; NLuint nlSolve_GMRES() ; #endif octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/src/NL/nl_matrix.c0000644001356000007640000002307413673436411024214 0ustar fangqadmin/* * Copyright (c) 2004-2010, Bruno Levy * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * * Redistributions of source code must retain the above copyright notice, * this list of conditions and the following disclaimer. * * Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * Neither the name of the ALICE Project-Team nor the names of its * contributors may be used to endorse or promote products derived from this * software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * * If you modify this software, you should include a notice giving the * name of the person performing the modification, the date of modification, * and the reason for such modification. * * Contact: Bruno Levy * * levy@loria.fr * * ALICE Project * LORIA, INRIA Lorraine, * Campus Scientifique, BP 239 * 54506 VANDOEUVRE LES NANCY CEDEX * FRANCE * */ #include void nlRowColumnConstruct(NLRowColumn* c) { c->size = 0 ; c->capacity = 0 ; c->coeff = NULL ; } void nlRowColumnDestroy(NLRowColumn* c) { NL_DELETE_ARRAY(c->coeff) ; #ifdef NL_PARANOID NL_CLEAR(NLRowColumn, c) ; #endif } void nlRowColumnGrow(NLRowColumn* c) { if(c->capacity != 0) { c->capacity = 2 * c->capacity ; c->coeff = NL_RENEW_ARRAY(NLCoeff, c->coeff, c->capacity) ; } else { c->capacity = 4 ; c->coeff = NL_NEW_ARRAY(NLCoeff, c->capacity) ; } } void nlRowColumnAdd(NLRowColumn* c, NLint index, NLdouble value) { NLuint i ; for(i=0; isize; i++) { if(c->coeff[i].index == index) { c->coeff[i].value += value ; return ; } } if(c->size == c->capacity) { nlRowColumnGrow(c) ; } c->coeff[c->size].index = index ; c->coeff[c->size].value = value ; c->size++ ; } /* Does not check whether the index already exists */ void nlRowColumnAppend(NLRowColumn* c, NLint index, NLdouble value) { if(c->size == c->capacity) { nlRowColumnGrow(c) ; } c->coeff[c->size].index = index ; c->coeff[c->size].value = value ; c->size++ ; } void nlRowColumnZero(NLRowColumn* c) { c->size = 0 ; } void nlRowColumnClear(NLRowColumn* c) { c->size = 0 ; c->capacity = 0 ; NL_DELETE_ARRAY(c->coeff) ; } static int nlCoeffCompare(const void* p1, const void* p2) { return (((NLCoeff*)(p2))->index > ((NLCoeff*)(p1))->index) ; } void nlRowColumnSort(NLRowColumn* c) { qsort(c->coeff, c->size, sizeof(NLCoeff), nlCoeffCompare) ; } /******************************************************************************/ /* SparseMatrix data structure */ void nlSparseMatrixConstruct( NLSparseMatrix* M, NLuint m, NLuint n, NLenum storage ) { NLuint i ; M->m = m ; M->n = n ; M->storage = storage ; if(storage & NL_MATRIX_STORE_ROWS) { M->row = NL_NEW_ARRAY(NLRowColumn, m) ; for(i=0; irow[i])) ; } } else { M->row = NULL ; } if(storage & NL_MATRIX_STORE_COLUMNS) { M->column = NL_NEW_ARRAY(NLRowColumn, n) ; for(i=0; icolumn[i])) ; } } else { M->column = NULL ; } M->diag_size = MIN(m,n) ; M->diag = NL_NEW_ARRAY(NLdouble, M->diag_size) ; } void nlSparseMatrixDestroy(NLSparseMatrix* M) { NLuint i ; NL_DELETE_ARRAY(M->diag) ; if(M->storage & NL_MATRIX_STORE_ROWS) { for(i=0; im; i++) { nlRowColumnDestroy(&(M->row[i])) ; } NL_DELETE_ARRAY(M->row) ; } if(M->storage & NL_MATRIX_STORE_COLUMNS) { for(i=0; in; i++) { nlRowColumnDestroy(&(M->column[i])) ; } NL_DELETE_ARRAY(M->column) ; } #ifdef NL_PARANOID NL_CLEAR(NLSparseMatrix,M) ; #endif } void nlSparseMatrixAdd(NLSparseMatrix* M, NLuint i, NLuint j, NLdouble value) { nl_parano_range_assert(i, 0, M->m - 1) ; nl_parano_range_assert(j, 0, M->n - 1) ; if((M->storage & NL_MATRIX_STORE_SYMMETRIC) && (j > i)) { return ; } if(i == j) { M->diag[i] += value ; } if(M->storage & NL_MATRIX_STORE_ROWS) { nlRowColumnAdd(&(M->row[i]), j, value) ; } if(M->storage & NL_MATRIX_STORE_COLUMNS) { nlRowColumnAdd(&(M->column[j]), i, value) ; } } void nlSparseMatrixZero( NLSparseMatrix* M) { NLuint i ; if(M->storage & NL_MATRIX_STORE_ROWS) { for(i=0; im; i++) { nlRowColumnZero(&(M->row[i])) ; } } if(M->storage & NL_MATRIX_STORE_COLUMNS) { for(i=0; in; i++) { nlRowColumnZero(&(M->column[i])) ; } } NL_CLEAR_ARRAY(NLdouble, M->diag, M->diag_size) ; } void nlSparseMatrixClear( NLSparseMatrix* M) { NLuint i ; if(M->storage & NL_MATRIX_STORE_ROWS) { for(i=0; im; i++) { nlRowColumnClear(&(M->row[i])) ; } } if(M->storage & NL_MATRIX_STORE_COLUMNS) { for(i=0; in; i++) { nlRowColumnClear(&(M->column[i])) ; } } NL_CLEAR_ARRAY(NLdouble, M->diag, M->diag_size) ; } /* Returns the number of non-zero coefficients */ NLuint nlSparseMatrixNNZ( NLSparseMatrix* M) { NLuint nnz = 0 ; NLuint i ; if(M->storage & NL_MATRIX_STORE_ROWS) { for(i = 0; im; i++) { nnz += M->row[i].size ; } } else if (M->storage & NL_MATRIX_STORE_COLUMNS) { for(i = 0; in; i++) { nnz += M->column[i].size ; } } else { nl_assert_not_reached ; } return nnz ; } void nlSparseMatrixSort( NLSparseMatrix* M) { NLuint i ; if(M->storage & NL_MATRIX_STORE_ROWS) { for(i = 0; im; i++) { nlRowColumnSort(&(M->row[i])) ; } } if (M->storage & NL_MATRIX_STORE_COLUMNS) { for(i = 0; in; i++) { nlRowColumnSort(&(M->row[i])) ; } } } /************************************************************************************/ /* SparseMatrix x Vector routines, internal helper routines */ static void nlSparseMatrix_mult_rows_symmetric( NLSparseMatrix* A, NLdouble* x, NLdouble* y) { NLuint m = A->m ; NLuint i,ij ; NLRowColumn* Ri = NULL ; NLCoeff* c = NULL ; for(i=0; irow[i]) ; for(ij=0; ijsize; ij++) { c = &(Ri->coeff[ij]) ; y[i] += c->value * x[c->index] ; if(i != c->index) { y[c->index] += c->value * x[i] ; } } } } static void nlSparseMatrix_mult_rows( NLSparseMatrix* A, NLdouble* x, NLdouble* y) { NLuint m = A->m ; NLuint i,ij ; NLRowColumn* Ri = NULL ; NLCoeff* c = NULL ; for(i=0; irow[i]) ; for(ij=0; ijsize; ij++) { c = &(Ri->coeff[ij]) ; y[i] += c->value * x[c->index] ; } } } static void nlSparseMatrix_mult_cols_symmetric( NLSparseMatrix* A, NLdouble* x, NLdouble* y) { NLuint n = A->n ; NLuint j,ii ; NLRowColumn* Cj = NULL ; NLCoeff* c = NULL ; for(j=0; jcolumn[j]) ; for(ii=0; iisize; ii++) { c = &(Cj->coeff[ii]) ; y[c->index] += c->value * x[j] ; if(j != c->index) { y[j] += c->value * x[c->index] ; } } } } static void nlSparseMatrix_mult_cols( NLSparseMatrix* A, NLdouble* x, NLdouble* y) { NLuint n = A->n ; NLuint j,ii ; NLRowColumn* Cj = NULL ; NLCoeff* c = NULL ; NL_CLEAR_ARRAY(NLdouble, y, A->m) ; for(j=0; jcolumn[j]) ; for(ii=0; iisize; ii++) { c = &(Cj->coeff[ii]) ; y[c->index] += c->value * x[j] ; } } } /************************************************************************************/ /* SparseMatrix x Vector routines, main driver routine */ void nlSparseMatrixMult(NLSparseMatrix* A, NLdouble* x, NLdouble* y) { if(A->storage & NL_MATRIX_STORE_ROWS) { if(A->storage & NL_MATRIX_STORE_SYMMETRIC) { nlSparseMatrix_mult_rows_symmetric(A, x, y) ; } else { nlSparseMatrix_mult_rows(A, x, y) ; } } else { if(A->storage & NL_MATRIX_STORE_SYMMETRIC) { nlSparseMatrix_mult_cols_symmetric(A, x, y) ; } else { nlSparseMatrix_mult_cols(A, x, y) ; } } } octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/src/NL/filelist.txt0000644001356000007640000000037213673436411024423 0ustar fangqadminnl_private.h nl_matrix.h nl_context.h nl_blas.h nl_iterative_solvers.h nl_preconditioners.h nl_superlu.h nl_cnc_gpu_cuda.h nl_os.c nl_matrix.c nl_context.c nl_blas.c nl_iterative_solvers.c nl_preconditioners.c nl_superlu.c nl_cnc_gpu_cuda.c nl_api.c octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/src/NL/nl_os.c0000644001356000007640000000711713673436411023331 0ustar fangqadmin/* * Copyright (c) 2004-2010, Bruno Levy * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * * Redistributions of source code must retain the above copyright notice, * this list of conditions and the following disclaimer. * * Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * Neither the name of the ALICE Project-Team nor the names of its * contributors may be used to endorse or promote products derived from this * software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * * If you modify this software, you should include a notice giving the * name of the person performing the modification, the date of modification, * and the reason for such modification. * * Contact: Bruno Levy * * levy@loria.fr * * ALICE Project * LORIA, INRIA Lorraine, * Campus Scientifique, BP 239 * 54506 VANDOEUVRE LES NANCY CEDEX * FRANCE * */ #include #ifdef WIN32 #include #else #include #include #endif /******************************************************************************/ /* Assertions */ void nl_assertion_failed(const char* cond, const char* file, int line) { fprintf( stderr, "OpenNL assertion failed: %s, file:%s, line:%d\n", cond,file,line ) ; abort() ; } void nl_range_assertion_failed( double x, double min_val, double max_val, const char* file, int line ) { fprintf( stderr, "OpenNL range assertion failed: %f in [ %f ... %f ], file:%s, line:%d\n", x, min_val, max_val, file,line ) ; abort() ; } void nl_should_not_have_reached(const char* file, int line) { fprintf( stderr, "OpenNL should not have reached this point: file:%s, line:%d\n", file,line ) ; abort() ; } /************************************************************************************/ /* Timing */ #ifdef WIN32 NLdouble nlCurrentTime() { return (NLdouble)GetTickCount() / 1000.0 ; } #else double nlCurrentTime() { clock_t user_clock ; struct tms user_tms ; user_clock = times(&user_tms) ; return (NLdouble)user_clock / 100.0 ; } #endif /************************************************************************************/ /* Error-reporting functions */ void nlError(const char* function, const char* message) { fprintf(stderr, "OpenNL error in %s(): %s\n", function, message) ; } void nlWarning(const char* function, const char* message) { fprintf(stderr, "OpenNL warning in %s(): %s\n", function, message) ; } octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/src/NL/nl_blas.c0000644001356000007640000010026313673436411023625 0ustar fangqadmin/* * Copyright (c) 2004-2010, Bruno Levy * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * * Redistributions of source code must retain the above copyright notice, * this list of conditions and the following disclaimer. * * Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * Neither the name of the ALICE Project-Team nor the names of its * contributors may be used to endorse or promote products derived from this * software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * * If you modify this software, you should include a notice giving the * name of the person performing the modification, the date of modification, * and the reason for such modification. * * Contact: Bruno Levy * * levy@loria.fr * * ALICE Project * LORIA, INRIA Lorraine, * Campus Scientifique, BP 239 * 54506 VANDOEUVRE LES NANCY CEDEX * FRANCE * */ #include #ifdef NL_USE_ATLAS int NL_FORTRAN_WRAP(xerbla)(char *srname, int *info) { printf("** On entry to %6s, parameter number %2d had an illegal value\n", srname, *info ); return 0; } #ifndef NL_USE_BLAS #define NL_USE_BLAS #endif #endif #ifdef NL_USE_SUPERLU #ifndef NL_USE_BLAS #define NL_USE_BLAS /* * The BLAS included in SuperLU does not have DTPSV, * we use the DTPSV embedded in OpenNL. */ #define NEEDS_DTPSV #endif #endif #ifndef NL_USE_BLAS #define NEEDS_DTPSV #endif /************************************************************************/ /* BLAS routines */ /* copy-pasted from CBLAS (i.e. generated from f2c) */ /* * lsame * xerbla * daxpy * ddot * dscal * dnrm2 * dcopy * dgemv * dtpsv */ typedef NLint integer ; typedef NLdouble doublereal ; typedef NLboolean logical ; typedef NLint ftnlen ; #ifndef max #define max(x,y) ((x) > (y) ? (x) : (y)) #endif #ifndef NL_USE_BLAS int NL_FORTRAN_WRAP(lsame)(char *ca, char *cb) { /* -- LAPACK auxiliary routine (version 2.0) -- Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd., Courant Institute, Argonne National Lab, and Rice University September 30, 1994 Purpose ======= LSAME returns .TRUE. if CA is the same letter as CB regardless of case. Arguments ========= CA (input) CHARACTER*1 CB (input) CHARACTER*1 CA and CB specify the single characters to be compared. ===================================================================== */ /* System generated locals */ int ret_val; /* Local variables */ int inta, intb, zcode; ret_val = *(unsigned char *)ca == *(unsigned char *)cb; if (ret_val) { return ret_val; } /* Now test for equivalence if both characters are alphabetic. */ zcode = 'Z'; /* Use 'Z' rather than 'A' so that ASCII can be detected on Prime machines, on which ICHAR returns a value with bit 8 set. ICHAR('A') on Prime machines returns 193 which is the same as ICHAR('A') on an EBCDIC machine. */ inta = *(unsigned char *)ca; intb = *(unsigned char *)cb; if (zcode == 90 || zcode == 122) { /* ASCII is assumed - ZCODE is the ASCII code of either lower or upper case 'Z'. */ if (inta >= 97 && inta <= 122) inta += -32; if (intb >= 97 && intb <= 122) intb += -32; } else if (zcode == 233 || zcode == 169) { /* EBCDIC is assumed - ZCODE is the EBCDIC code of either lower or upper case 'Z'. */ if ((inta >= 129 && inta <= 137) || (inta >= 145 && inta <= 153) || (inta >= 162 && inta <= 169) ) inta += 64; if ( (intb >= 129 && intb <= 137) || (intb >= 145 && intb <= 153) || (intb >= 162 && intb <= 169) ) intb += 64; } else if (zcode == 218 || zcode == 250) { /* ASCII is assumed, on Prime machines - ZCODE is the ASCII code plus 128 of either lower or upper case 'Z'. */ if (inta >= 225 && inta <= 250) inta += -32; if (intb >= 225 && intb <= 250) intb += -32; } ret_val = inta == intb; return ret_val; } /* lsame_ */ /* Subroutine */ int NL_FORTRAN_WRAP(xerbla)(char *srname, int *info) { /* -- LAPACK auxiliary routine (version 2.0) -- Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd., Courant Institute, Argonne National Lab, and Rice University September 30, 1994 Purpose ======= XERBLA is an error handler for the LAPACK routines. It is called by an LAPACK routine if an input parameter has an invalid value. A message is printed and execution stops. Installers may consider modifying the STOP statement in order to call system-specific exception-handling facilities. Arguments ========= SRNAME (input) CHARACTER*6 The name of the routine which called XERBLA. INFO (input) INT The position of the invalid parameter in the parameter list of the calling routine. ===================================================================== */ printf("** On entry to %6s, parameter number %2d had an illegal value\n", srname, *info); /* End of XERBLA */ return 0; } /* xerbla_ */ /* Subroutine */ int NL_FORTRAN_WRAP(daxpy)(integer *n, doublereal *da, doublereal *dx, integer *incx, doublereal *dy, integer *incy) { /* System generated locals */ integer i__1; /* Local variables */ static integer i, m, ix, iy, mp1; /* constant times a vector plus a vector. uses unrolled loops for increments equal to one. jack dongarra, linpack, 3/11/78. modified 12/3/93, array(1) declarations changed to array(*) Parameter adjustments Function Body */ #define DY(I) dy[(I)-1] #define DX(I) dx[(I)-1] if (*n <= 0) { return 0; } if (*da == 0.) { return 0; } if (*incx == 1 && *incy == 1) { goto L20; } /* code for unequal increments or equal increments not equal to 1 */ ix = 1; iy = 1; if (*incx < 0) { ix = (-(*n) + 1) * *incx + 1; } if (*incy < 0) { iy = (-(*n) + 1) * *incy + 1; } i__1 = *n; for (i = 1; i <= *n; ++i) { DY(iy) += *da * DX(ix); ix += *incx; iy += *incy; /* L10: */ } return 0; /* code for both increments equal to 1 clean-up loop */ L20: m = *n % 4; if (m == 0) { goto L40; } i__1 = m; for (i = 1; i <= m; ++i) { DY(i) += *da * DX(i); /* L30: */ } if (*n < 4) { return 0; } L40: mp1 = m + 1; i__1 = *n; for (i = mp1; i <= *n; i += 4) { DY(i) += *da * DX(i); DY(i + 1) += *da * DX(i + 1); DY(i + 2) += *da * DX(i + 2); DY(i + 3) += *da * DX(i + 3); /* L50: */ } return 0; } /* daxpy_ */ #undef DY #undef DX doublereal NL_FORTRAN_WRAP(ddot)(integer *n, doublereal *dx, integer *incx, doublereal *dy, integer *incy) { /* System generated locals */ integer i__1; doublereal ret_val; /* Local variables */ static integer i, m; static doublereal dtemp; static integer ix, iy, mp1; /* forms the dot product of two vectors. uses unrolled loops for increments equal to one. jack dongarra, linpack, 3/11/78. modified 12/3/93, array(1) declarations changed to array(*) Parameter adjustments Function Body */ #define DY(I) dy[(I)-1] #define DX(I) dx[(I)-1] ret_val = 0.; dtemp = 0.; if (*n <= 0) { return ret_val; } if (*incx == 1 && *incy == 1) { goto L20; } /* code for unequal increments or equal increments not equal to 1 */ ix = 1; iy = 1; if (*incx < 0) { ix = (-(*n) + 1) * *incx + 1; } if (*incy < 0) { iy = (-(*n) + 1) * *incy + 1; } i__1 = *n; for (i = 1; i <= *n; ++i) { dtemp += DX(ix) * DY(iy); ix += *incx; iy += *incy; /* L10: */ } ret_val = dtemp; return ret_val; /* code for both increments equal to 1 clean-up loop */ L20: m = *n % 5; if (m == 0) { goto L40; } i__1 = m; for (i = 1; i <= m; ++i) { dtemp += DX(i) * DY(i); /* L30: */ } if (*n < 5) { goto L60; } L40: mp1 = m + 1; i__1 = *n; for (i = mp1; i <= *n; i += 5) { dtemp = dtemp + DX(i) * DY(i) + DX(i + 1) * DY(i + 1) + DX(i + 2) * DY(i + 2) + DX(i + 3) * DY(i + 3) + DX(i + 4) * DY(i + 4); /* L50: */ } L60: ret_val = dtemp; return ret_val; } /* ddot_ */ #undef DY #undef DX /* Subroutine */ int NL_FORTRAN_WRAP(dscal)(integer *n, doublereal *da, doublereal *dx, integer *incx) { /* System generated locals */ integer i__1, i__2; /* Local variables */ static integer i, m, nincx, mp1; /* scales a vector by a constant. uses unrolled loops for increment equal to one. jack dongarra, linpack, 3/11/78. modified 3/93 to return if incx .le. 0. modified 12/3/93, array(1) declarations changed to array(*) Parameter adjustments Function Body */ #ifdef DX #undef DX #endif #define DX(I) dx[(I)-1] if (*n <= 0 || *incx <= 0) { return 0; } if (*incx == 1) { goto L20; } /* code for increment not equal to 1 */ nincx = *n * *incx; i__1 = nincx; i__2 = *incx; for (i = 1; *incx < 0 ? i >= nincx : i <= nincx; i += *incx) { DX(i) = *da * DX(i); /* L10: */ } return 0; /* code for increment equal to 1 clean-up loop */ L20: m = *n % 5; if (m == 0) { goto L40; } i__2 = m; for (i = 1; i <= m; ++i) { DX(i) = *da * DX(i); /* L30: */ } if (*n < 5) { return 0; } L40: mp1 = m + 1; i__2 = *n; for (i = mp1; i <= *n; i += 5) { DX(i) = *da * DX(i); DX(i + 1) = *da * DX(i + 1); DX(i + 2) = *da * DX(i + 2); DX(i + 3) = *da * DX(i + 3); DX(i + 4) = *da * DX(i + 4); /* L50: */ } return 0; } /* dscal_ */ #undef DX doublereal NL_FORTRAN_WRAP(dnrm2)(integer *n, doublereal *x, integer *incx) { /* System generated locals */ integer i__1, i__2; doublereal ret_val, d__1; /* Builtin functions */ double sqrt(doublereal); /* Local variables */ static doublereal norm, scale, absxi; static integer ix; static doublereal ssq; /* DNRM2 returns the euclidean norm of a vector via the function name, so that DNRM2 := sqrt( x'*x ) -- This version written on 25-October-1982. Modified on 14-October-1993 to inline the call to DLASSQ. Sven Hammarling, Nag Ltd. Parameter adjustments Function Body */ #ifdef X #undef X #endif #define X(I) x[(I)-1] if (*n < 1 || *incx < 1) { norm = 0.; } else if (*n == 1) { norm = fabs(X(1)); } else { scale = 0.; ssq = 1.; /* The following loop is equivalent to this call to the LAPACK auxiliary routine: CALL DLASSQ( N, X, INCX, SCALE, SSQ ) */ i__1 = (*n - 1) * *incx + 1; i__2 = *incx; for (ix = 1; *incx < 0 ? ix >= (*n-1)**incx+1 : ix <= (*n-1)**incx+1; ix += *incx) { if (X(ix) != 0.) { absxi = (d__1 = X(ix), fabs(d__1)); if (scale < absxi) { /* Computing 2nd power */ d__1 = scale / absxi; ssq = ssq * (d__1 * d__1) + 1.; scale = absxi; } else { /* Computing 2nd power */ d__1 = absxi / scale; ssq += d__1 * d__1; } } /* L10: */ } norm = scale * sqrt(ssq); } ret_val = norm; return ret_val; /* End of DNRM2. */ } /* dnrm2_ */ #undef X /* Subroutine */ int NL_FORTRAN_WRAP(dcopy)(integer *n, doublereal *dx, integer *incx, doublereal *dy, integer *incy) { /* System generated locals */ integer i__1; /* Local variables */ static integer i, m, ix, iy, mp1; /* copies a vector, x, to a vector, y. uses unrolled loops for increments equal to one. jack dongarra, linpack, 3/11/78. modified 12/3/93, array(1) declarations changed to array(*) Parameter adjustments Function Body */ #define DY(I) dy[(I)-1] #define DX(I) dx[(I)-1] if (*n <= 0) { return 0; } if (*incx == 1 && *incy == 1) { goto L20; } /* code for unequal increments or equal increments not equal to 1 */ ix = 1; iy = 1; if (*incx < 0) { ix = (-(*n) + 1) * *incx + 1; } if (*incy < 0) { iy = (-(*n) + 1) * *incy + 1; } i__1 = *n; for (i = 1; i <= *n; ++i) { DY(iy) = DX(ix); ix += *incx; iy += *incy; /* L10: */ } return 0; /* code for both increments equal to 1 clean-up loop */ L20: m = *n % 7; if (m == 0) { goto L40; } i__1 = m; for (i = 1; i <= m; ++i) { DY(i) = DX(i); /* L30: */ } if (*n < 7) { return 0; } L40: mp1 = m + 1; i__1 = *n; for (i = mp1; i <= *n; i += 7) { DY(i) = DX(i); DY(i + 1) = DX(i + 1); DY(i + 2) = DX(i + 2); DY(i + 3) = DX(i + 3); DY(i + 4) = DX(i + 4); DY(i + 5) = DX(i + 5); DY(i + 6) = DX(i + 6); /* L50: */ } return 0; } /* dcopy_ */ #undef DX #undef DY /* Subroutine */ int NL_FORTRAN_WRAP(dgemv)(char *trans, integer *m, integer *n, doublereal * alpha, doublereal *a, integer *lda, doublereal *x, integer *incx, doublereal *beta, doublereal *y, integer *incy) { /* System generated locals */ /* integer a_dim1, a_offset ; */ integer i__1, i__2; /* Local variables */ static integer info; static doublereal temp; static integer lenx, leny, i, j; /* extern logical lsame_(char *, char *); */ static integer ix, iy, jx, jy, kx, ky; /* extern int xerbla_(char *, integer *); */ /* Purpose ======= DGEMV performs one of the matrix-vector operations y := alpha*A*x + beta*y, or y := alpha*A'*x + beta*y, where alpha and beta are scalars, x and y are vectors and A is an m by n matrix. Parameters ========== TRANS - CHARACTER*1. On entry, TRANS specifies the operation to be performed as follows: TRANS = 'N' or 'n' y := alpha*A*x + beta*y. TRANS = 'T' or 't' y := alpha*A'*x + beta*y. TRANS = 'C' or 'c' y := alpha*A'*x + beta*y. Unchanged on exit. M - INTEGER. On entry, M specifies the number of rows of the matrix A. M must be at least zero. Unchanged on exit. N - INTEGER. On entry, N specifies the number of columns of the matrix A. N must be at least zero. Unchanged on exit. ALPHA - DOUBLE PRECISION. On entry, ALPHA specifies the scalar alpha. Unchanged on exit. A - DOUBLE PRECISION array of DIMENSION ( LDA, n ). Before entry, the leading m by n part of the array A must contain the matrix of coefficients. Unchanged on exit. LDA - INTEGER. On entry, LDA specifies the first dimension of A as declared in the calling (sub) program. LDA must be at least max( 1, m ). Unchanged on exit. X - DOUBLE PRECISION array of DIMENSION at least ( 1 + ( n - 1 )*abs( INCX ) ) when TRANS = 'N' or 'n' and at least ( 1 + ( m - 1 )*abs( INCX ) ) otherwise. Before entry, the incremented array X must contain the vector x. Unchanged on exit. INCX - INTEGER. On entry, INCX specifies the increment for the elements of X. INCX must not be zero. Unchanged on exit. BETA - DOUBLE PRECISION. On entry, BETA specifies the scalar beta. When BETA is supplied as zero then Y need not be set on input. Unchanged on exit. Y - DOUBLE PRECISION array of DIMENSION at least ( 1 + ( m - 1 )*abs( INCY ) ) when TRANS = 'N' or 'n' and at least ( 1 + ( n - 1 )*abs( INCY ) ) otherwise. Before entry with BETA non-zero, the incremented array Y must contain the vector y. On exit, Y is overwritten by the updated vector y. INCY - INTEGER. On entry, INCY specifies the increment for the elements of Y. INCY must not be zero. Unchanged on exit. Level 2 Blas routine. -- Written on 22-October-1986. Jack Dongarra, Argonne National Lab. Jeremy Du Croz, Nag Central Office. Sven Hammarling, Nag Central Office. Richard Hanson, Sandia National Labs. Test the input parameters. Parameter adjustments Function Body */ #define X(I) x[(I)-1] #define Y(I) y[(I)-1] #define A(I,J) a[(I)-1 + ((J)-1)* ( *lda)] info = 0; if (! NL_FORTRAN_WRAP(lsame)(trans, "N") && ! NL_FORTRAN_WRAP(lsame)(trans, "T") && ! NL_FORTRAN_WRAP(lsame)(trans, "C")) { info = 1; } else if (*m < 0) { info = 2; } else if (*n < 0) { info = 3; } else if (*lda < max(1,*m)) { info = 6; } else if (*incx == 0) { info = 8; } else if (*incy == 0) { info = 11; } if (info != 0) { NL_FORTRAN_WRAP(xerbla)("DGEMV ", &info); return 0; } /* Quick return if possible. */ if (*m == 0 || *n == 0 || (*alpha == 0. && *beta == 1.)) { return 0; } /* Set LENX and LENY, the lengths of the vectors x and y, and set up the start points in X and Y. */ if (NL_FORTRAN_WRAP(lsame)(trans, "N")) { lenx = *n; leny = *m; } else { lenx = *m; leny = *n; } if (*incx > 0) { kx = 1; } else { kx = 1 - (lenx - 1) * *incx; } if (*incy > 0) { ky = 1; } else { ky = 1 - (leny - 1) * *incy; } /* Start the operations. In this version the elements of A are accessed sequentially with one pass through A. First form y := beta*y. */ if (*beta != 1.) { if (*incy == 1) { if (*beta == 0.) { i__1 = leny; for (i = 1; i <= leny; ++i) { Y(i) = 0.; /* L10: */ } } else { i__1 = leny; for (i = 1; i <= leny; ++i) { Y(i) = *beta * Y(i); /* L20: */ } } } else { iy = ky; if (*beta == 0.) { i__1 = leny; for (i = 1; i <= leny; ++i) { Y(iy) = 0.; iy += *incy; /* L30: */ } } else { i__1 = leny; for (i = 1; i <= leny; ++i) { Y(iy) = *beta * Y(iy); iy += *incy; /* L40: */ } } } } if (*alpha == 0.) { return 0; } if (NL_FORTRAN_WRAP(lsame)(trans, "N")) { /* Form y := alpha*A*x + y. */ jx = kx; if (*incy == 1) { i__1 = *n; for (j = 1; j <= *n; ++j) { if (X(jx) != 0.) { temp = *alpha * X(jx); i__2 = *m; for (i = 1; i <= *m; ++i) { Y(i) += temp * A(i,j); /* L50: */ } } jx += *incx; /* L60: */ } } else { i__1 = *n; for (j = 1; j <= *n; ++j) { if (X(jx) != 0.) { temp = *alpha * X(jx); iy = ky; i__2 = *m; for (i = 1; i <= *m; ++i) { Y(iy) += temp * A(i,j); iy += *incy; /* L70: */ } } jx += *incx; /* L80: */ } } } else { /* Form y := alpha*A'*x + y. */ jy = ky; if (*incx == 1) { i__1 = *n; for (j = 1; j <= *n; ++j) { temp = 0.; i__2 = *m; for (i = 1; i <= *m; ++i) { temp += A(i,j) * X(i); /* L90: */ } Y(jy) += *alpha * temp; jy += *incy; /* L100: */ } } else { i__1 = *n; for (j = 1; j <= *n; ++j) { temp = 0.; ix = kx; i__2 = *m; for (i = 1; i <= *m; ++i) { temp += A(i,j) * X(ix); ix += *incx; /* L110: */ } Y(jy) += *alpha * temp; jy += *incy; /* L120: */ } } } return 0; /* End of DGEMV . */ } /* dgemv_ */ #undef X #undef Y #undef A #else extern void NL_FORTRAN_WRAP(daxpy)( int *n, double *alpha, double *x, int *incx, double *y, int *incy ) ; extern double NL_FORTRAN_WRAP(ddot)( int *n, double *x, int *incx, double *y, int *incy ) ; extern double NL_FORTRAN_WRAP(dnrm2)( int *n, double *x, int *incx ) ; extern int NL_FORTRAN_WRAP(dcopy)(int* n, double* dx, int* incx, double* dy, int* incy) ; extern void NL_FORTRAN_WRAP(dscal)(int* n, double* alpha, double *x, int* incx) ; #ifndef NEEDS_DTPSV extern void NL_FORTRAN_WRAP(dtpsv)( char *uplo, char *trans, char *diag, int *n, double *AP, double *x, int *incx ) ; #endif extern void NL_FORTRAN_WRAP(dgemv)( char *trans, int *m, int *n, double *alpha, double *A, int *ldA, double *x, int *incx, double *beta, double *y, int *incy ) ; #endif #ifdef NEEDS_DTPSV /* DECK DTPSV */ /* Subroutine */ int NL_FORTRAN_WRAP(dtpsv)(uplo, trans, diag, n, ap, x, incx, uplo_len, trans_len, diag_len) char *uplo, *trans, *diag; integer *n; doublereal *ap, *x; integer *incx; ftnlen uplo_len; ftnlen trans_len; ftnlen diag_len; { /* System generated locals */ integer i__1, i__2; /* Local variables */ static integer info; static doublereal temp; static integer i__, j, k; /* extern logical lsame_(); */ static integer kk, ix, jx, kx; /* extern int xerbla_(); */ static logical nounit; /* ***BEGIN PROLOGUE DTPSV */ /* ***PURPOSE Solve one of the systems of equations. */ /* ***LIBRARY SLATEC (BLAS) */ /* ***CATEGORY D1B4 */ /* ***TYPE DOUBLE PRECISION (STPSV-S, DTPSV-D, CTPSV-C) */ /* ***KEYWORDS LEVEL 2 BLAS, LINEAR ALGEBRA */ /* ***AUTHOR Dongarra, J. J., (ANL) */ /* Du Croz, J., (NAG) */ /* Hammarling, S., (NAG) */ /* Hanson, R. J., (SNLA) */ /* ***DESCRIPTION */ /* DTPSV solves one of the systems of equations */ /* A*x = b, or A'*x = b, */ /* where b and x are n element vectors and A is an n by n unit, or */ /* non-unit, upper or lower triangular matrix, supplied in packed form. */ /* No test for singularity or near-singularity is included in this */ /* routine. Such tests must be performed before calling this routine. */ /* Parameters */ /* ========== */ /* UPLO - CHARACTER*1. */ /* On entry, UPLO specifies whether the matrix is an upper or */ /* lower triangular matrix as follows: */ /* UPLO = 'U' or 'u' A is an upper triangular matrix. */ /* UPLO = 'L' or 'l' A is a lower triangular matrix. */ /* Unchanged on exit. */ /* TRANS - CHARACTER*1. */ /* On entry, TRANS specifies the equations to be solved as */ /* follows: */ /* TRANS = 'N' or 'n' A*x = b. */ /* TRANS = 'T' or 't' A'*x = b. */ /* TRANS = 'C' or 'c' A'*x = b. */ /* Unchanged on exit. */ /* DIAG - CHARACTER*1. */ /* On entry, DIAG specifies whether or not A is unit */ /* triangular as follows: */ /* DIAG = 'U' or 'u' A is assumed to be unit triangular. */ /* DIAG = 'N' or 'n' A is not assumed to be unit */ /* triangular. */ /* Unchanged on exit. */ /* N - INTEGER. */ /* On entry, N specifies the order of the matrix A. */ /* N must be at least zero. */ /* Unchanged on exit. */ /* AP - DOUBLE PRECISION array of DIMENSION at least */ /* ( ( n*( n + 1))/2). */ /* Before entry with UPLO = 'U' or 'u', the array AP must */ /* contain the upper triangular matrix packed sequentially, */ /* column by column, so that AP( 1 ) contains a( 1, 1 ), */ /* AP( 2 ) and AP( 3 ) contain a( 1, 2 ) and a( 2, 2 ) */ /* respectively, and so on. */ /* Before entry with UPLO = 'L' or 'l', the array AP must */ /* contain the lower triangular matrix packed sequentially, */ /* column by column, so that AP( 1 ) contains a( 1, 1 ), */ /* AP( 2 ) and AP( 3 ) contain a( 2, 1 ) and a( 3, 1 ) */ /* respectively, and so on. */ /* Note that when DIAG = 'U' or 'u', the diagonal elements of */ /* A are not referenced, but are assumed to be unity. */ /* Unchanged on exit. */ /* X - DOUBLE PRECISION array of dimension at least */ /* ( 1 + ( n - 1 )*abs( INCX ) ). */ /* Before entry, the incremented array X must contain the n */ /* element right-hand side vector b. On exit, X is overwritten */ /* with the solution vector x. */ /* INCX - INTEGER. */ /* On entry, INCX specifies the increment for the elements of */ /* X. INCX must not be zero. */ /* Unchanged on exit. */ /* ***REFERENCES Dongarra, J. J., Du Croz, J., Hammarling, S., and */ /* Hanson, R. J. An extended set of Fortran basic linear */ /* algebra subprograms. ACM TOMS, Vol. 14, No. 1, */ /* pp. 1-17, March 1988. */ /* ***ROUTINES CALLED LSAME, XERBLA */ /* ***REVISION HISTORY (YYMMDD) */ /* 861022 DATE WRITTEN */ /* 910605 Modified to meet SLATEC prologue standards. Only comment */ /* lines were modified. (BKS) */ /* ***END PROLOGUE DTPSV */ /* .. Scalar Arguments .. */ /* .. Array Arguments .. */ /* .. Parameters .. */ /* .. Local Scalars .. */ /* .. External Functions .. */ /* .. External Subroutines .. */ /* ***FIRST EXECUTABLE STATEMENT DTPSV */ /* Test the input parameters. */ /* Parameter adjustments */ --x; --ap; /* Function Body */ info = 0; if (!NL_FORTRAN_WRAP(lsame)(uplo, "U") && !NL_FORTRAN_WRAP(lsame)(uplo, "L") ) { info = 1; } else if ( !NL_FORTRAN_WRAP(lsame)(trans, "N") && !NL_FORTRAN_WRAP(lsame)(trans, "T") && !NL_FORTRAN_WRAP(lsame)(trans, "C") ) { info = 2; } else if ( !NL_FORTRAN_WRAP(lsame)(diag, "U") && !NL_FORTRAN_WRAP(lsame)(diag, "N") ) { info = 3; } else if (*n < 0) { info = 4; } else if (*incx == 0) { info = 7; } if (info != 0) { NL_FORTRAN_WRAP(xerbla)("DTPSV ", &info); return 0; } /* Quick return if possible. */ if (*n == 0) { return 0; } nounit = NL_FORTRAN_WRAP(lsame)(diag, "N"); /* Set up the start point in X if the increment is not unity. This */ /* will be ( N - 1 )*INCX too small for descending loops. */ if (*incx <= 0) { kx = 1 - (*n - 1) * *incx; } else if (*incx != 1) { kx = 1; } /* Start the operations. In this version the elements of AP are */ /* accessed sequentially with one pass through AP. */ if (NL_FORTRAN_WRAP(lsame)(trans, "N")) { /* Form x := inv( A )*x. */ if (NL_FORTRAN_WRAP(lsame)(uplo, "U")) { kk = *n * (*n + 1) / 2; if (*incx == 1) { for (j = *n; j >= 1; --j) { if (x[j] != 0.) { if (nounit) { x[j] /= ap[kk]; } temp = x[j]; k = kk - 1; for (i__ = j - 1; i__ >= 1; --i__) { x[i__] -= temp * ap[k]; --k; /* L10: */ } } kk -= j; /* L20: */ } } else { jx = kx + (*n - 1) * *incx; for (j = *n; j >= 1; --j) { if (x[jx] != 0.) { if (nounit) { x[jx] /= ap[kk]; } temp = x[jx]; ix = jx; i__1 = kk - j + 1; for (k = kk - 1; k >= i__1; --k) { ix -= *incx; x[ix] -= temp * ap[k]; /* L30: */ } } jx -= *incx; kk -= j; /* L40: */ } } } else { kk = 1; if (*incx == 1) { i__1 = *n; for (j = 1; j <= i__1; ++j) { if (x[j] != 0.) { if (nounit) { x[j] /= ap[kk]; } temp = x[j]; k = kk + 1; i__2 = *n; for (i__ = j + 1; i__ <= i__2; ++i__) { x[i__] -= temp * ap[k]; ++k; /* L50: */ } } kk += *n - j + 1; /* L60: */ } } else { jx = kx; i__1 = *n; for (j = 1; j <= i__1; ++j) { if (x[jx] != 0.) { if (nounit) { x[jx] /= ap[kk]; } temp = x[jx]; ix = jx; i__2 = kk + *n - j; for (k = kk + 1; k <= i__2; ++k) { ix += *incx; x[ix] -= temp * ap[k]; /* L70: */ } } jx += *incx; kk += *n - j + 1; /* L80: */ } } } } else { /* Form x := inv( A' )*x. */ if (NL_FORTRAN_WRAP(lsame)(uplo, "U")) { kk = 1; if (*incx == 1) { i__1 = *n; for (j = 1; j <= i__1; ++j) { temp = x[j]; k = kk; i__2 = j - 1; for (i__ = 1; i__ <= i__2; ++i__) { temp -= ap[k] * x[i__]; ++k; /* L90: */ } if (nounit) { temp /= ap[kk + j - 1]; } x[j] = temp; kk += j; /* L100: */ } } else { jx = kx; i__1 = *n; for (j = 1; j <= i__1; ++j) { temp = x[jx]; ix = kx; i__2 = kk + j - 2; for (k = kk; k <= i__2; ++k) { temp -= ap[k] * x[ix]; ix += *incx; /* L110: */ } if (nounit) { temp /= ap[kk + j - 1]; } x[jx] = temp; jx += *incx; kk += j; /* L120: */ } } } else { kk = *n * (*n + 1) / 2; if (*incx == 1) { for (j = *n; j >= 1; --j) { temp = x[j]; k = kk; i__1 = j + 1; for (i__ = *n; i__ >= i__1; --i__) { temp -= ap[k] * x[i__]; --k; /* L130: */ } if (nounit) { temp /= ap[kk - *n + j]; } x[j] = temp; kk -= *n - j + 1; /* L140: */ } } else { kx += (*n - 1) * *incx; jx = kx; for (j = *n; j >= 1; --j) { temp = x[jx]; ix = kx; i__1 = kk - (*n - (j + 1)); for (k = kk; k >= i__1; --k) { temp -= ap[k] * x[ix]; ix -= *incx; /* L150: */ } if (nounit) { temp /= ap[kk - *n + j]; } x[jx] = temp; jx -= *incx; kk -= *n - j + 1; /* L160: */ } } } } return 0; /* End of DTPSV . */ } /* dtpsv_ */ #endif /***********************************************************************************/ /* C wrappers for BLAS routines */ /* x <- a*x */ void dscal( int n, double alpha, double *x, int incx ) { NL_FORTRAN_WRAP(dscal)(&n,&alpha,x,&incx); } /* y <- x */ void dcopy( int n, double *x, int incx, double *y, int incy ) { NL_FORTRAN_WRAP(dcopy)(&n,x,&incx,y,&incy); } /* y <- a*x+y */ void daxpy( int n, double alpha, double *x, int incx, double *y, int incy ) { NL_FORTRAN_WRAP(daxpy)(&n,&alpha,x,&incx,y,&incy); } /* returns x^T*y */ double ddot( int n, double *x, int incx, double *y, int incy ) { return NL_FORTRAN_WRAP(ddot)(&n,x,&incx,y,&incy); } /** returns |x|_2 */ double dnrm2( int n, double *x, int incx ) { return NL_FORTRAN_WRAP(dnrm2)(&n,x,&incx); } /** x <- A^{-1}*x, x <- A^{-T}*x */ void dtpsv( MatrixTriangle uplo, MatrixTranspose trans, MatrixUnitTriangular diag, int n, double *AP, double *x, int incx ) { static char *UL[2] = { "U", "L" }; static char *T[3] = { "N", "T", 0 }; static char *D[2] = { "U", "N" }; NL_FORTRAN_WRAP(dtpsv)(UL[(int)uplo],T[(int)trans],D[(int)diag],&n,AP,x,&incx); } /** y <- alpha*A*x + beta*y, y <- alpha*A^T*x + beta*y, A-(m,n) */ void dgemv( MatrixTranspose trans, int m, int n, double alpha, double *A, int ldA, double *x, int incx, double beta, double *y, int incy ) { static char *T[3] = { "N", "T", 0 }; NL_FORTRAN_WRAP(dgemv)(T[(int)trans],&m,&n,&alpha,A,&ldA,x,&incx,&beta,y,&incy); } /************************************************************************/ /* End of BLAS routines */ /************************************************************************/ octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/src/NL/nl_matrix.h0000644001356000007640000000740213673436411024216 0ustar fangqadmin/* * Copyright (c) 2004-2010, Bruno Levy * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * * Redistributions of source code must retain the above copyright notice, * this list of conditions and the following disclaimer. * * Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * Neither the name of the ALICE Project-Team nor the names of its * contributors may be used to endorse or promote products derived from this * software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * * If you modify this software, you should include a notice giving the * name of the person performing the modification, the date of modification, * and the reason for such modification. * * Contact: Bruno Levy * * levy@loria.fr * * ALICE Project * LORIA, INRIA Lorraine, * Campus Scientifique, BP 239 * 54506 VANDOEUVRE LES NANCY CEDEX * FRANCE * */ #include #ifndef __NL_MATRIX__ #define __NL_MATRIX__ #ifdef __cplusplus extern "C" { #endif /************************************************************************************/ /* Dynamic arrays for sparse row/columns */ typedef struct { NLuint index ; NLdouble value ; } NLCoeff ; typedef struct { NLuint size ; NLuint capacity ; NLCoeff* coeff ; } NLRowColumn ; void nlRowColumnConstruct(NLRowColumn* c) ; void nlRowColumnDestroy(NLRowColumn* c) ; void nlRowColumnGrow(NLRowColumn* c) ; void nlRowColumnAdd(NLRowColumn* c, NLint index, NLdouble value) ; void nlRowColumnAppend(NLRowColumn* c, NLint index, NLdouble value) ; void nlRowColumnZero(NLRowColumn* c) ; void nlRowColumnClear(NLRowColumn* c) ; void nlRowColumnSort(NLRowColumn* c) ; /************************************************************************************/ /* SparseMatrix data structure */ #define NL_MATRIX_STORE_ROWS 1 #define NL_MATRIX_STORE_COLUMNS 2 #define NL_MATRIX_STORE_SYMMETRIC 4 typedef struct { NLuint m ; NLuint n ; NLuint diag_size ; NLenum storage ; NLRowColumn* row ; NLRowColumn* column ; NLdouble* diag ; } NLSparseMatrix ; void nlSparseMatrixConstruct( NLSparseMatrix* M, NLuint m, NLuint n, NLenum storage ) ; void nlSparseMatrixDestroy(NLSparseMatrix* M) ; void nlSparseMatrixAdd( NLSparseMatrix* M, NLuint i, NLuint j, NLdouble value ) ; void nlSparseMatrixZero( NLSparseMatrix* M) ; void nlSparseMatrixClear( NLSparseMatrix* M) ; NLuint nlSparseMatrixNNZ( NLSparseMatrix* M) ; void nlSparseMatrixSort( NLSparseMatrix* M) ; /************************************************************************************/ /* SparseMatrix x Vector routine */ void nlSparseMatrixMult(NLSparseMatrix* A, NLdouble* x, NLdouble* y) ; #ifdef __cplusplus } #endif #endif octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/src/NL/nl_superlu.c0000644001356000007640000001543713673436411024413 0ustar fangqadmin/* * Copyright (c) 2004-2010, Bruno Levy * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * * Redistributions of source code must retain the above copyright notice, * this list of conditions and the following disclaimer. * * Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * Neither the name of the ALICE Project-Team nor the names of its * contributors may be used to endorse or promote products derived from this * software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * * If you modify this software, you should include a notice giving the * name of the person performing the modification, the date of modification, * and the reason for such modification. * * Contact: Bruno Levy * * levy@loria.fr * * ALICE Project * LORIA, INRIA Lorraine, * Campus Scientifique, BP 239 * 54506 VANDOEUVRE LES NANCY CEDEX * FRANCE * */ #include #include /************************************************************************/ /* SuperLU wrapper */ #ifdef NL_USE_SUPERLU /* SuperLU includes */ #include #include /* Note: SuperLU is difficult to call, but it is worth it. */ /* Here is a driver inspired by A. Sheffer's "cow flattener". */ NLboolean nlSolve_SUPERLU() { /* OpenNL Context */ NLSparseMatrix* M = &(nlCurrentContext->M) ; NLdouble* b = nlCurrentContext->b ; NLdouble* x = nlCurrentContext->x ; /* Compressed Row Storage matrix representation */ NLuint n = nlCurrentContext->n ; NLuint nnz = nlSparseMatrixNNZ(M) ; /* Number of Non-Zero coeffs */ NLint* xa = NL_NEW_ARRAY(NLint, n+1) ; NLdouble* rhs = NL_NEW_ARRAY(NLdouble, n) ; NLdouble* a = NL_NEW_ARRAY(NLdouble, nnz) ; NLint* asub = NL_NEW_ARRAY(NLint, nnz) ; /* Permutation vector */ NLint* perm_r = NL_NEW_ARRAY(NLint, n) ; NLint* perm = NL_NEW_ARRAY(NLint, n) ; /* SuperLU variables */ SuperMatrix A, B ; /* System */ SuperMatrix L, U ; /* Inverse of A */ NLint info ; /* status code */ DNformat *vals = NULL ; /* access to result */ double *rvals = NULL ; /* access to result */ /* SuperLU options and stats */ superlu_options_t options ; SuperLUStat_t stat ; /* Temporary variables */ NLRowColumn* Ri = NULL ; NLuint i,jj,count ; /* Sanity checks */ nl_assert(!(M->storage & NL_MATRIX_STORE_SYMMETRIC)) ; nl_assert(M->storage & NL_MATRIX_STORE_ROWS) ; nl_assert(M->m == M->n) ; /* * Step 1: convert matrix M into SuperLU compressed column * representation. * ------------------------------------------------------- */ count = 0 ; for(i=0; irow[i]) ; xa[i] = count ; for(jj=0; jjsize; jj++) { a[count] = Ri->coeff[jj].value ; asub[count] = Ri->coeff[jj].index ; count++ ; } } xa[n] = nnz ; /* Save memory for SuperLU */ nlSparseMatrixClear(M) ; /* * Rem: SuperLU does not support symmetric storage. * In fact, for symmetric matrix, what we need * is a SuperLLt algorithm (SuperNodal sparse Cholesky), * but it does not exist, anybody wants to implement it ? * However, this is not a big problem (SuperLU is just * a superset of what we really need. */ dCreate_CompCol_Matrix( &A, n, n, nnz, a, asub, xa, SLU_NR, /* Row_wise, no supernode */ SLU_D, /* doubles */ SLU_GE /* general storage */ ); /* Step 2: create vector */ dCreate_Dense_Matrix( &B, n, 1, b, n, SLU_DN, /* Fortran-type column-wise storage */ SLU_D, /* doubles */ SLU_GE /* general */ ); /* Step 3: set SuperLU options * ------------------------------ */ set_default_options(&options) ; switch(nlCurrentContext->solver) { case NL_SUPERLU_EXT: { options.ColPerm = NATURAL ; } break ; case NL_PERM_SUPERLU_EXT: { options.ColPerm = COLAMD ; } break ; case NL_SYMMETRIC_SUPERLU_EXT: { options.ColPerm = MMD_AT_PLUS_A ; options.SymmetricMode = YES ; } break ; default: { nl_assert_not_reached ; } break ; } StatInit(&stat) ; /* Step 4: call SuperLU main routine * --------------------------------- */ dgssv(&options, &A, perm, perm_r, &L, &U, &B, &stat, &info); /* Step 5: get the solution * ------------------------ * Fortran-type column-wise storage */ vals = (DNformat*)B.Store; rvals = (double*)(vals->nzval); if(info == 0) { for(i = 0; i < n; i++){ x[i] = rvals[i]; } } else { nlError("nlSolve()", "SuperLU failed") ; } /* Step 6: cleanup * --------------- */ /* * For these two ones, only the "store" structure * needs to be deallocated (the arrays have been allocated * by us). */ Destroy_SuperMatrix_Store(&A) ; Destroy_SuperMatrix_Store(&B) ; /* * These ones need to be fully deallocated (they have been * allocated by SuperLU). */ Destroy_SuperNode_Matrix(&L); Destroy_CompCol_Matrix(&U); /* There are some dynamically allocated vectors in the stats */ StatFree(&stat) ; NL_DELETE_ARRAY(xa) ; NL_DELETE_ARRAY(rhs) ; NL_DELETE_ARRAY(a) ; NL_DELETE_ARRAY(asub) ; NL_DELETE_ARRAY(perm_r) ; NL_DELETE_ARRAY(perm) ; return (info == 0) ; } #else NLboolean nlSolve_SUPERLU() { nl_assert_not_reached ; return 0; } #endif octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/src/NL/nl.h0000644001356000007640000001406313673436411022633 0ustar fangqadmin/* * Copyright (c) 2004-2010, Bruno Levy * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * * Redistributions of source code must retain the above copyright notice, * this list of conditions and the following disclaimer. * * Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * Neither the name of the ALICE Project-Team nor the names of its * contributors may be used to endorse or promote products derived from this * software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * * If you modify this software, you should include a notice giving the * name of the person performing the modification, the date of modification, * and the reason for such modification. * * Contact: Bruno Levy * * levy@loria.fr * * ALICE Project * LORIA, INRIA Lorraine, * Campus Scientifique, BP 239 * 54506 VANDOEUVRE LES NANCY CEDEX * FRANCE * */ #ifndef __nl_h__ #define __nl_h__ #ifdef __cplusplus extern "C" { #endif #define NL_VERSION_0_0 1 #define NLAPI #include /* * * Datatypes * */ typedef unsigned int NLenum; typedef unsigned char NLboolean; typedef unsigned int NLbitfield; typedef void NLvoid; typedef signed char NLbyte; /* 1-byte signed */ typedef short NLshort; /* 2-byte signed */ typedef int NLint; /* 4-byte signed */ typedef unsigned char NLubyte; /* 1-byte unsigned */ typedef unsigned short NLushort; /* 2-byte unsigned */ typedef unsigned int NLuint; /* 4-byte unsigned */ typedef int NLsizei; /* 4-byte signed */ typedef float NLfloat; /* single precision float */ typedef double NLdouble; /* double precision float */ typedef void* NLContext ; /* * * Constants * */ #define NL_FALSE 0x0 #define NL_TRUE 0x1 /* Primitives */ #define NL_SYSTEM 0x0 #define NL_MATRIX 0x1 #define NL_ROW 0x2 /* Solver Parameters */ #define NL_SOLVER 0x100 #define NL_NB_VARIABLES 0x101 #define NL_LEAST_SQUARES 0x102 #define NL_MAX_ITERATIONS 0x103 #define NL_THRESHOLD 0x104 #define NL_OMEGA 0x105 #define NL_SYMMETRIC 0x106 #define NL_USED_ITERATIONS 0x107 #define NL_ERROR 0x108 #define NL_INNER_ITERATIONS 0x109 #define NL_ELAPSED_TIME 0x10a #define NL_PRECONDITIONER 0x10b /* Solvers */ #define NL_CG 0x200 #define NL_BICGSTAB 0x201 #define NL_GMRES 0x202 #define NL_SUPERLU_EXT 0x210 #define NL_PERM_SUPERLU_EXT 0x211 #define NL_SYMMETRIC_SUPERLU_EXT 0x212 #define NL_SOLVER_USER 0x213 #define NL_CNC_FLOAT_CRS 0x220 #define NL_CNC_DOUBLE_CRS 0x222 #define NL_CNC_FLOAT_BCRS2 0x221 #define NL_CNC_DOUBLE_BCRS2 0x223 #define NL_CNC_FLOAT_ELL 0x224 #define NL_CNC_DOUBLE_ELL 0x225 #define NL_CNC_FLOAT_HYB 0x229 #define NL_CNC_DOUBLE_HYB 0x22a /* Preconditioners */ #define NL_PRECOND_NONE 0x000 #define NL_PRECOND_JACOBI 0x300 #define NL_PRECOND_SSOR 0x301 #define NL_PRECOND_USER 0x303 /* Enable / Disable */ #define NL_NORMALIZE_ROWS 0x400 /* Row parameters */ #define NL_RIGHT_HAND_SIDE 0x500 #define NL_ROW_SCALING 0x501 /* Functions */ #define NL_FUNC_SOLVER 0x600 #define NL_FUNC_MATRIX 0x601 #define NL_FUNC_PRECONDITIONER 0x602 /* * Contexts */ NLAPI NLContext NLAPIENTRY nlNewContext() ; NLAPI void NLAPIENTRY nlDeleteContext(NLContext context) ; NLAPI void NLAPIENTRY nlMakeCurrent(NLContext context) ; NLAPI NLContext NLAPIENTRY nlGetCurrent() ; NLAPI NLboolean NLAPIENTRY nlInitExtension(const char* extension) ; /* * State set/get */ NLAPI void NLAPIENTRY nlSolverParameterd(NLenum pname, NLdouble param) ; NLAPI void NLAPIENTRY nlSolverParameteri(NLenum pname, NLint param) ; NLAPI void NLAPIENTRY nlRowParameterd(NLenum pname, NLdouble param) ; NLAPI void NLAPIENTRY nlRowParameteri(NLenum pname, NLint param) ; NLAPI void NLAPIENTRY nlGetBooleanv(NLenum pname, NLboolean* params) ; NLAPI void NLAPIENTRY nlGetDoublev(NLenum pname, NLdouble* params) ; NLAPI void NLAPIENTRY nlGetIntergerv(NLenum pname, NLint* params) ; NLAPI void NLAPIENTRY nlEnable(NLenum pname) ; NLAPI void NLAPIENTRY nlDisable(NLenum pname) ; NLAPI NLboolean nlIsEnabled(NLenum pname) ; /* * Functions */ NLAPI void NLAPIENTRY nlSetFunction(NLenum pname, void* param) ; NLAPI void NLAPIENTRY nlGetFunction(NLenum pname, void** param) ; /* * Variables */ NLAPI void NLAPIENTRY nlSetVariable(NLuint index, NLdouble value) ; NLAPI NLdouble NLAPIENTRY nlGetVariable(NLuint index) ; NLAPI void NLAPIENTRY nlLockVariable(NLuint index) ; NLAPI void NLAPIENTRY nlUnlockVariable(NLuint index) ; NLAPI NLboolean NLAPIENTRY nlVariableIsLocked(NLuint index) ; /* * Begin/End */ NLAPI void NLAPIENTRY nlBegin(NLenum primitive) ; NLAPI void NLAPIENTRY nlEnd(NLenum primitive) ; NLAPI void NLAPIENTRY nlCoefficient(NLuint index, NLdouble value) ; /* * Solve */ NLAPI NLboolean NLAPIENTRY nlSolve() ; #ifdef __cplusplus } #endif #endif octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/src/nl_single_file.c0000644001356000007640000037400713673436411024664 0ustar fangqadmin#include "nl.h" /* * Copyright (c) 2004-2010, Bruno Levy * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * * Redistributions of source code must retain the above copyright notice, * this list of conditions and the following disclaimer. * * Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * Neither the name of the ALICE Project-Team nor the names of its * contributors may be used to endorse or promote products derived from this * software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * * If you modify this software, you should include a notice giving the * name of the person performing the modification, the date of modification, * and the reason for such modification. * * Contact: Bruno Levy * * levy@loria.fr * * ALICE Project * LORIA, INRIA Lorraine, * Campus Scientifique, BP 239 * 54506 VANDOEUVRE LES NANCY CEDEX * FRANCE * */ #ifndef __NL_PRIVATE__ #define __NL_PRIVATE__ #include #include #include #include /******************************************************************************/ /*** Assertion checks ***/ /******************************************************************************/ void nl_assertion_failed(const char* cond, const char* file, int line) ; void nl_range_assertion_failed( double x, double min_val, double max_val, const char* file, int line ) ; void nl_should_not_have_reached(const char* file, int line) ; #define nl_assert(x) { \ if(!(x)) { \ nl_assertion_failed(#x,__FILE__, __LINE__) ; \ } \ } #define nl_range_assert(x,min_val,max_val) { \ if(((x) < (min_val)) || ((x) > (max_val))) { \ nl_range_assertion_failed(x, min_val, max_val, \ __FILE__, __LINE__ \ ) ; \ } \ } #define nl_assert_not_reached { \ nl_should_not_have_reached(__FILE__, __LINE__) ; \ } #ifdef NL_DEBUG #define nl_debug_assert(x) nl_assert(x) #define nl_debug_range_assert(x,min_val,max_val) \ nl_range_assert(x,min_val,max_val) #else #define nl_debug_assert(x) #define nl_debug_range_assert(x,min_val,max_val) #endif #ifdef NL_PARANOID #define nl_parano_assert(x) nl_assert(x) #define nl_parano_range_assert(x,min_val,max_val) \ nl_range_assert(x,min_val,max_val) #else #define nl_parano_assert(x) #define nl_parano_range_assert(x,min_val,max_val) #endif /******************************************************************************/ /*** Error reporting ***/ /******************************************************************************/ void nlError(const char* function, const char* message) ; void nlWarning(const char* function, const char* message) ; /******************************************************************************/ /*** OS ***/ /******************************************************************************/ NLdouble nlCurrentTime() ; /******************************************************************************/ /* classic macros */ #ifndef MIN #define MIN(x,y) (((x) < (y)) ? (x) : (y)) #endif #ifndef MAX #define MAX(x,y) (((x) > (y)) ? (x) : (y)) #endif /******************************************************************************/ /* Memory management */ /******************************************************************************/ #define NL_NEW(T) (T*)(calloc(1, sizeof(T))) #define NL_NEW_ARRAY(T,NB) (T*)(calloc((NB),sizeof(T))) #define NL_RENEW_ARRAY(T,x,NB) (T*)(realloc(x,(NB)*sizeof(T))) #define NL_DELETE(x) free(x); x = NULL #define NL_DELETE_ARRAY(x) free(x); x = NULL #define NL_CLEAR(T, x) memset(x, 0, sizeof(T)) #define NL_CLEAR_ARRAY(T,x,NB) memset(x, 0, (NB)*sizeof(T)) #endif /* * Copyright (c) 2004-2010, Bruno Levy * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * * Redistributions of source code must retain the above copyright notice, * this list of conditions and the following disclaimer. * * Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * Neither the name of the ALICE Project-Team nor the names of its * contributors may be used to endorse or promote products derived from this * software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * * If you modify this software, you should include a notice giving the * name of the person performing the modification, the date of modification, * and the reason for such modification. * * Contact: Bruno Levy * * levy@loria.fr * * ALICE Project * LORIA, INRIA Lorraine, * Campus Scientifique, BP 239 * 54506 VANDOEUVRE LES NANCY CEDEX * FRANCE * */ #ifndef __NL_MATRIX__ #define __NL_MATRIX__ #ifdef __cplusplus extern "C" { #endif /************************************************************************************/ /* Dynamic arrays for sparse row/columns */ typedef struct { NLuint index ; NLdouble value ; } NLCoeff ; typedef struct { NLuint size ; NLuint capacity ; NLCoeff* coeff ; } NLRowColumn ; void nlRowColumnConstruct(NLRowColumn* c) ; void nlRowColumnDestroy(NLRowColumn* c) ; void nlRowColumnGrow(NLRowColumn* c) ; void nlRowColumnAdd(NLRowColumn* c, NLint index, NLdouble value) ; void nlRowColumnAppend(NLRowColumn* c, NLint index, NLdouble value) ; void nlRowColumnZero(NLRowColumn* c) ; void nlRowColumnClear(NLRowColumn* c) ; void nlRowColumnSort(NLRowColumn* c) ; /************************************************************************************/ /* SparseMatrix data structure */ #define NL_MATRIX_STORE_ROWS 1 #define NL_MATRIX_STORE_COLUMNS 2 #define NL_MATRIX_STORE_SYMMETRIC 4 typedef struct { NLuint m ; NLuint n ; NLuint diag_size ; NLenum storage ; NLRowColumn* row ; NLRowColumn* column ; NLdouble* diag ; } NLSparseMatrix ; void nlSparseMatrixConstruct( NLSparseMatrix* M, NLuint m, NLuint n, NLenum storage ) ; void nlSparseMatrixDestroy(NLSparseMatrix* M) ; void nlSparseMatrixAdd( NLSparseMatrix* M, NLuint i, NLuint j, NLdouble value ) ; void nlSparseMatrixZero( NLSparseMatrix* M) ; void nlSparseMatrixClear( NLSparseMatrix* M) ; NLuint nlSparseMatrixNNZ( NLSparseMatrix* M) ; void nlSparseMatrixSort( NLSparseMatrix* M) ; /************************************************************************************/ /* SparseMatrix x Vector routine */ void nlSparseMatrixMult(NLSparseMatrix* A, NLdouble* x, NLdouble* y) ; #ifdef __cplusplus } #endif #endif /* * Copyright (c) 2004-2010, Bruno Levy * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * * Redistributions of source code must retain the above copyright notice, * this list of conditions and the following disclaimer. * * Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * Neither the name of the ALICE Project-Team nor the names of its * contributors may be used to endorse or promote products derived from this * software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * * If you modify this software, you should include a notice giving the * name of the person performing the modification, the date of modification, * and the reason for such modification. * * Contact: Bruno Levy * * levy@loria.fr * * ALICE Project * LORIA, INRIA Lorraine, * Campus Scientifique, BP 239 * 54506 VANDOEUVRE LES NANCY CEDEX * FRANCE * */ #ifndef __NL_CONTEXT__ #define __NL_CONTEXT__ /******************************************************************************/ /* NLContext data structure */ typedef void(*NLMatrixFunc)(double* x, double* y) ; typedef NLboolean(*NLSolverFunc)() ; typedef struct { NLdouble value ; NLboolean locked ; NLuint index ; } NLVariable ; #define NL_STATE_INITIAL 0 #define NL_STATE_SYSTEM 1 #define NL_STATE_MATRIX 2 #define NL_STATE_ROW 3 #define NL_STATE_MATRIX_CONSTRUCTED 4 #define NL_STATE_SYSTEM_CONSTRUCTED 5 #define NL_STATE_SOLVED 6 typedef struct { NLenum state ; NLVariable* variable ; NLuint n ; NLSparseMatrix M ; NLRowColumn af ; NLRowColumn al ; NLRowColumn xl ; NLdouble* x ; NLdouble* b ; NLdouble right_hand_side ; NLdouble row_scaling ; NLenum solver ; NLenum preconditioner ; NLuint nb_variables ; NLuint current_row ; NLboolean least_squares ; NLboolean symmetric ; NLuint max_iterations ; NLuint inner_iterations ; NLdouble threshold ; NLdouble omega ; NLboolean normalize_rows ; NLboolean alloc_M ; NLboolean alloc_af ; NLboolean alloc_al ; NLboolean alloc_xl ; NLboolean alloc_variable ; NLboolean alloc_x ; NLboolean alloc_b ; NLuint used_iterations ; NLdouble error ; NLdouble elapsed_time ; NLMatrixFunc matrix_vector_prod ; NLMatrixFunc precond_vector_prod ; NLSolverFunc solver_func ; } NLContextStruct ; extern NLContextStruct* nlCurrentContext ; void nlCheckState(NLenum state) ; void nlTransition(NLenum from_state, NLenum to_state) ; void nlMatrixVectorProd_default(NLdouble* x, NLdouble* y) ; NLboolean nlDefaultSolver() ; #endif /* * Copyright (c) 2004-2010, Bruno Levy * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * * Redistributions of source code must retain the above copyright notice, * this list of conditions and the following disclaimer. * * Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * Neither the name of the ALICE Project-Team nor the names of its * contributors may be used to endorse or promote products derived from this * software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * * If you modify this software, you should include a notice giving the * name of the person performing the modification, the date of modification, * and the reason for such modification. * * Contact: Bruno Levy * * levy@loria.fr * * ALICE Project * LORIA, INRIA Lorraine, * Campus Scientifique, BP 239 * 54506 VANDOEUVRE LES NANCY CEDEX * FRANCE * */ #ifndef __NL_BLAS__ #define __NL_BLAS__ #ifndef NL_FORTRAN_WRAP #define NL_FORTRAN_WRAP(x) x##_ #endif /***********************************************************************************/ /* C wrappers for BLAS routines */ /* x <- a*x */ void dscal( int n, double alpha, double *x, int incx ) ; /* y <- x */ void dcopy( int n, double *x, int incx, double *y, int incy ) ; /* y <- a*x+y */ void daxpy( int n, double alpha, double *x, int incx, double *y, int incy ) ; /* returns x^T*y */ double ddot( int n, double *x, int incx, double *y, int incy ) ; /** returns |x|_2 */ double dnrm2( int n, double *x, int incx ) ; typedef enum { NoTranspose=0, Transpose=1, ConjugateTranspose=2 } MatrixTranspose ; typedef enum { UpperTriangle=0, LowerTriangle=1 } MatrixTriangle ; typedef enum { UnitTriangular=0, NotUnitTriangular=1 } MatrixUnitTriangular ; /** x <- A^{-1}*x, x <- A^{-T}*x */ void dtpsv( MatrixTriangle uplo, MatrixTranspose trans, MatrixUnitTriangular diag, int n, double *AP, double *x, int incx ) ; /** y <- alpha*A*x + beta*y, y <- alpha*A^T*x + beta*y, A-(m,n) */ void dgemv( MatrixTranspose trans, int m, int n, double alpha, double *A, int ldA, double *x, int incx, double beta, double *y, int incy ) ; #endif /* * Copyright (c) 2004-2010, Bruno Levy * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * * Redistributions of source code must retain the above copyright notice, * this list of conditions and the following disclaimer. * * Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * Neither the name of the ALICE Project-Team nor the names of its * contributors may be used to endorse or promote products derived from this * software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * * If you modify this software, you should include a notice giving the * name of the person performing the modification, the date of modification, * and the reason for such modification. * * Contact: Bruno Levy * * levy@loria.fr * * ALICE Project * LORIA, INRIA Lorraine, * Campus Scientifique, BP 239 * 54506 VANDOEUVRE LES NANCY CEDEX * FRANCE * * The implementation of the solvers is inspired by * the lsolver library, by Christian Badura, available from: * http://www.mathematik.uni-freiburg.de * /IAM/Research/projectskr/lin_solver/ * */ #ifndef __NL_ITERATIVE_SOLVERS__ #define __NL_ITERATIVE_SOLVERS__ NLuint nlSolve_CG() ; NLuint nlSolve_CG_precond() ; NLuint nlSolve_BICGSTAB() ; NLuint nlSolve_BICGSTAB_precond() ; NLuint nlSolve_GMRES() ; #endif /* * Copyright (c) 2004-2010, Bruno Levy * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * * Redistributions of source code must retain the above copyright notice, * this list of conditions and the following disclaimer. * * Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * Neither the name of the ALICE Project-Team nor the names of its * contributors may be used to endorse or promote products derived from this * software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * * If you modify this software, you should include a notice giving the * name of the person performing the modification, the date of modification, * and the reason for such modification. * * Contact: Bruno Levy * * levy@loria.fr * * ALICE Project * LORIA, INRIA Lorraine, * Campus Scientifique, BP 239 * 54506 VANDOEUVRE LES NANCY CEDEX * FRANCE * */ #ifndef __NL_PRECONDITIONERS__ #define __NL_PRECONDITIONERS__ /******************************************************************************/ /* preconditioners */ void nlPreconditioner_Jacobi(NLdouble* x, NLdouble* y) ; void nlPreconditioner_SSOR(NLdouble* x, NLdouble* y) ; /* Utilities for preconditioners */ /* (use the matrix in the current context) */ void nlMultDiagonal(NLdouble* xy, NLdouble omega) ; void nlMultDiagonalInverse(NLdouble* xy, NLdouble omega) ; void nlMultLowerInverse(NLdouble* x, NLdouble* y, double omega) ; void nlMultUpperInverse(NLdouble* x, NLdouble* y, NLdouble omega) ; #endif /* * Copyright (c) 2004-2010, Bruno Levy * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * * Redistributions of source code must retain the above copyright notice, * this list of conditions and the following disclaimer. * * Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * Neither the name of the ALICE Project-Team nor the names of its * contributors may be used to endorse or promote products derived from this * software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * * If you modify this software, you should include a notice giving the * name of the person performing the modification, the date of modification, * and the reason for such modification. * * Contact: Bruno Levy * * levy@loria.fr * * ALICE Project * LORIA, INRIA Lorraine, * Campus Scientifique, BP 239 * 54506 VANDOEUVRE LES NANCY CEDEX * FRANCE * */ #ifndef __NL_SUPERLU__ #define __NL_SUPERLU__ NLboolean nlSolve_SUPERLU() ; #endif /* * Copyright (c) 2004-2010, Bruno Levy * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * * Redistributions of source code must retain the above copyright notice, * this list of conditions and the following disclaimer. * * Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * Neither the name of the ALICE Project-Team nor the names of its * contributors may be used to endorse or promote products derived from this * software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * * If you modify this software, you should include a notice giving the * name of the person performing the modification, the date of modification, * and the reason for such modification. * * Contact: Bruno Levy * * levy@loria.fr * * ALICE Project * LORIA, INRIA Lorraine, * Campus Scientifique, BP 239 * 54506 VANDOEUVRE LES NANCY CEDEX * FRANCE * */ #ifndef __NL_CNC_GPU_CUDA__ #define __NL_CNC_GPU_CUDA__ #ifdef __cplusplus extern "C" { #endif NLboolean nlSolverIsCNC(NLint solver) ; NLuint nlSolve_CNC() ; #ifdef __cplusplus } #endif #endif /* * Copyright (c) 2004-2010, Bruno Levy * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * * Redistributions of source code must retain the above copyright notice, * this list of conditions and the following disclaimer. * * Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * Neither the name of the ALICE Project-Team nor the names of its * contributors may be used to endorse or promote products derived from this * software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * * If you modify this software, you should include a notice giving the * name of the person performing the modification, the date of modification, * and the reason for such modification. * * Contact: Bruno Levy * * levy@loria.fr * * ALICE Project * LORIA, INRIA Lorraine, * Campus Scientifique, BP 239 * 54506 VANDOEUVRE LES NANCY CEDEX * FRANCE * */ #ifdef WIN32 #include #else #include #include #endif /******************************************************************************/ /* Assertions */ void nl_assertion_failed(const char* cond, const char* file, int line) { fprintf( stderr, "OpenNL assertion failed: %s, file:%s, line:%d\n", cond,file,line ) ; abort() ; } void nl_range_assertion_failed( double x, double min_val, double max_val, const char* file, int line ) { fprintf( stderr, "OpenNL range assertion failed: %f in [ %f ... %f ], file:%s, line:%d\n", x, min_val, max_val, file,line ) ; abort() ; } void nl_should_not_have_reached(const char* file, int line) { fprintf( stderr, "OpenNL should not have reached this point: file:%s, line:%d\n", file,line ) ; abort() ; } /************************************************************************************/ /* Timing */ #ifdef WIN32 NLdouble nlCurrentTime() { return (NLdouble)GetTickCount() / 1000.0 ; } #else double nlCurrentTime() { clock_t user_clock ; struct tms user_tms ; user_clock = times(&user_tms) ; return (NLdouble)user_clock / 100.0 ; } #endif /************************************************************************************/ /* Error-reporting functions */ void nlError(const char* function, const char* message) { fprintf(stderr, "OpenNL error in %s(): %s\n", function, message) ; } void nlWarning(const char* function, const char* message) { fprintf(stderr, "OpenNL warning in %s(): %s\n", function, message) ; } /* * Copyright (c) 2004-2010, Bruno Levy * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * * Redistributions of source code must retain the above copyright notice, * this list of conditions and the following disclaimer. * * Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * Neither the name of the ALICE Project-Team nor the names of its * contributors may be used to endorse or promote products derived from this * software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * * If you modify this software, you should include a notice giving the * name of the person performing the modification, the date of modification, * and the reason for such modification. * * Contact: Bruno Levy * * levy@loria.fr * * ALICE Project * LORIA, INRIA Lorraine, * Campus Scientifique, BP 239 * 54506 VANDOEUVRE LES NANCY CEDEX * FRANCE * */ void nlRowColumnConstruct(NLRowColumn* c) { c->size = 0 ; c->capacity = 0 ; c->coeff = NULL ; } void nlRowColumnDestroy(NLRowColumn* c) { NL_DELETE_ARRAY(c->coeff) ; #ifdef NL_PARANOID NL_CLEAR(NLRowColumn, c) ; #endif } void nlRowColumnGrow(NLRowColumn* c) { if(c->capacity != 0) { c->capacity = 2 * c->capacity ; c->coeff = NL_RENEW_ARRAY(NLCoeff, c->coeff, c->capacity) ; } else { c->capacity = 4 ; c->coeff = NL_NEW_ARRAY(NLCoeff, c->capacity) ; } } void nlRowColumnAdd(NLRowColumn* c, NLint index, NLdouble value) { NLuint i ; for(i=0; isize; i++) { if(c->coeff[i].index == index) { c->coeff[i].value += value ; return ; } } if(c->size == c->capacity) { nlRowColumnGrow(c) ; } c->coeff[c->size].index = index ; c->coeff[c->size].value = value ; c->size++ ; } /* Does not check whether the index already exists */ void nlRowColumnAppend(NLRowColumn* c, NLint index, NLdouble value) { if(c->size == c->capacity) { nlRowColumnGrow(c) ; } c->coeff[c->size].index = index ; c->coeff[c->size].value = value ; c->size++ ; } void nlRowColumnZero(NLRowColumn* c) { c->size = 0 ; } void nlRowColumnClear(NLRowColumn* c) { c->size = 0 ; c->capacity = 0 ; NL_DELETE_ARRAY(c->coeff) ; } static int nlCoeffCompare(const void* p1, const void* p2) { return (((NLCoeff*)(p2))->index > ((NLCoeff*)(p1))->index) ; } void nlRowColumnSort(NLRowColumn* c) { qsort(c->coeff, c->size, sizeof(NLCoeff), nlCoeffCompare) ; } /******************************************************************************/ /* SparseMatrix data structure */ void nlSparseMatrixConstruct( NLSparseMatrix* M, NLuint m, NLuint n, NLenum storage ) { NLuint i ; M->m = m ; M->n = n ; M->storage = storage ; if(storage & NL_MATRIX_STORE_ROWS) { M->row = NL_NEW_ARRAY(NLRowColumn, m) ; for(i=0; irow[i])) ; } } else { M->row = NULL ; } if(storage & NL_MATRIX_STORE_COLUMNS) { M->column = NL_NEW_ARRAY(NLRowColumn, n) ; for(i=0; icolumn[i])) ; } } else { M->column = NULL ; } M->diag_size = MIN(m,n) ; M->diag = NL_NEW_ARRAY(NLdouble, M->diag_size) ; } void nlSparseMatrixDestroy(NLSparseMatrix* M) { NLuint i ; NL_DELETE_ARRAY(M->diag) ; if(M->storage & NL_MATRIX_STORE_ROWS) { for(i=0; im; i++) { nlRowColumnDestroy(&(M->row[i])) ; } NL_DELETE_ARRAY(M->row) ; } if(M->storage & NL_MATRIX_STORE_COLUMNS) { for(i=0; in; i++) { nlRowColumnDestroy(&(M->column[i])) ; } NL_DELETE_ARRAY(M->column) ; } #ifdef NL_PARANOID NL_CLEAR(NLSparseMatrix,M) ; #endif } void nlSparseMatrixAdd(NLSparseMatrix* M, NLuint i, NLuint j, NLdouble value) { nl_parano_range_assert(i, 0, M->m - 1) ; nl_parano_range_assert(j, 0, M->n - 1) ; if((M->storage & NL_MATRIX_STORE_SYMMETRIC) && (j > i)) { return ; } if(i == j) { M->diag[i] += value ; } if(M->storage & NL_MATRIX_STORE_ROWS) { nlRowColumnAdd(&(M->row[i]), j, value) ; } if(M->storage & NL_MATRIX_STORE_COLUMNS) { nlRowColumnAdd(&(M->column[j]), i, value) ; } } void nlSparseMatrixZero( NLSparseMatrix* M) { NLuint i ; if(M->storage & NL_MATRIX_STORE_ROWS) { for(i=0; im; i++) { nlRowColumnZero(&(M->row[i])) ; } } if(M->storage & NL_MATRIX_STORE_COLUMNS) { for(i=0; in; i++) { nlRowColumnZero(&(M->column[i])) ; } } NL_CLEAR_ARRAY(NLdouble, M->diag, M->diag_size) ; } void nlSparseMatrixClear( NLSparseMatrix* M) { NLuint i ; if(M->storage & NL_MATRIX_STORE_ROWS) { for(i=0; im; i++) { nlRowColumnClear(&(M->row[i])) ; } } if(M->storage & NL_MATRIX_STORE_COLUMNS) { for(i=0; in; i++) { nlRowColumnClear(&(M->column[i])) ; } } NL_CLEAR_ARRAY(NLdouble, M->diag, M->diag_size) ; } /* Returns the number of non-zero coefficients */ NLuint nlSparseMatrixNNZ( NLSparseMatrix* M) { NLuint nnz = 0 ; NLuint i ; if(M->storage & NL_MATRIX_STORE_ROWS) { for(i = 0; im; i++) { nnz += M->row[i].size ; } } else if (M->storage & NL_MATRIX_STORE_COLUMNS) { for(i = 0; in; i++) { nnz += M->column[i].size ; } } else { nl_assert_not_reached ; } return nnz ; } void nlSparseMatrixSort( NLSparseMatrix* M) { NLuint i ; if(M->storage & NL_MATRIX_STORE_ROWS) { for(i = 0; im; i++) { nlRowColumnSort(&(M->row[i])) ; } } if (M->storage & NL_MATRIX_STORE_COLUMNS) { for(i = 0; in; i++) { nlRowColumnSort(&(M->row[i])) ; } } } /************************************************************************************/ /* SparseMatrix x Vector routines, internal helper routines */ static void nlSparseMatrix_mult_rows_symmetric( NLSparseMatrix* A, NLdouble* x, NLdouble* y) { NLuint m = A->m ; NLuint i,ij ; NLRowColumn* Ri = NULL ; NLCoeff* c = NULL ; for(i=0; irow[i]) ; for(ij=0; ijsize; ij++) { c = &(Ri->coeff[ij]) ; y[i] += c->value * x[c->index] ; if(i != c->index) { y[c->index] += c->value * x[i] ; } } } } static void nlSparseMatrix_mult_rows( NLSparseMatrix* A, NLdouble* x, NLdouble* y) { NLuint m = A->m ; NLuint i,ij ; NLRowColumn* Ri = NULL ; NLCoeff* c = NULL ; for(i=0; irow[i]) ; for(ij=0; ijsize; ij++) { c = &(Ri->coeff[ij]) ; y[i] += c->value * x[c->index] ; } } } static void nlSparseMatrix_mult_cols_symmetric( NLSparseMatrix* A, NLdouble* x, NLdouble* y) { NLuint n = A->n ; NLuint j,ii ; NLRowColumn* Cj = NULL ; NLCoeff* c = NULL ; for(j=0; jcolumn[j]) ; for(ii=0; iisize; ii++) { c = &(Cj->coeff[ii]) ; y[c->index] += c->value * x[j] ; if(j != c->index) { y[j] += c->value * x[c->index] ; } } } } static void nlSparseMatrix_mult_cols( NLSparseMatrix* A, NLdouble* x, NLdouble* y) { NLuint n = A->n ; NLuint j,ii ; NLRowColumn* Cj = NULL ; NLCoeff* c = NULL ; NL_CLEAR_ARRAY(NLdouble, y, A->m) ; for(j=0; jcolumn[j]) ; for(ii=0; iisize; ii++) { c = &(Cj->coeff[ii]) ; y[c->index] += c->value * x[j] ; } } } /************************************************************************************/ /* SparseMatrix x Vector routines, main driver routine */ void nlSparseMatrixMult(NLSparseMatrix* A, NLdouble* x, NLdouble* y) { if(A->storage & NL_MATRIX_STORE_ROWS) { if(A->storage & NL_MATRIX_STORE_SYMMETRIC) { nlSparseMatrix_mult_rows_symmetric(A, x, y) ; } else { nlSparseMatrix_mult_rows(A, x, y) ; } } else { if(A->storage & NL_MATRIX_STORE_SYMMETRIC) { nlSparseMatrix_mult_cols_symmetric(A, x, y) ; } else { nlSparseMatrix_mult_cols(A, x, y) ; } } } /* * Copyright (c) 2004-2010, Bruno Levy * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * * Redistributions of source code must retain the above copyright notice, * this list of conditions and the following disclaimer. * * Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * Neither the name of the ALICE Project-Team nor the names of its * contributors may be used to endorse or promote products derived from this * software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * * If you modify this software, you should include a notice giving the * name of the person performing the modification, the date of modification, * and the reason for such modification. * * Contact: Bruno Levy * * levy@loria.fr * * ALICE Project * LORIA, INRIA Lorraine, * Campus Scientifique, BP 239 * 54506 VANDOEUVRE LES NANCY CEDEX * FRANCE * */ NLContextStruct* nlCurrentContext = NULL ; void nlMatrixVectorProd_default(NLdouble* x, NLdouble* y) { nlSparseMatrixMult(&(nlCurrentContext->M), x, y) ; } NLContext nlNewContext() { NLContextStruct* result = NL_NEW(NLContextStruct) ; result->state = NL_STATE_INITIAL ; result->solver = NL_BICGSTAB ; result->max_iterations = 100 ; result->threshold = 1e-6 ; result->omega = 1.5 ; result->row_scaling = 1.0 ; result->right_hand_side = 0.0 ; result->inner_iterations = 5 ; result->matrix_vector_prod = nlMatrixVectorProd_default ; result->solver_func = nlDefaultSolver ; nlMakeCurrent(result) ; return result ; } void nlDeleteContext(NLContext context_in) { NLContextStruct* context = (NLContextStruct*)(context_in) ; if(nlCurrentContext == context) { nlCurrentContext = NULL ; } if(context->alloc_M) { nlSparseMatrixDestroy(&context->M) ; } if(context->alloc_af) { nlRowColumnDestroy(&context->af) ; } if(context->alloc_al) { nlRowColumnDestroy(&context->al) ; } if(context->alloc_xl) { nlRowColumnDestroy(&context->xl) ; } if(context->alloc_variable) { NL_DELETE_ARRAY(context->variable) ; } if(context->alloc_x) { NL_DELETE_ARRAY(context->x) ; } if(context->alloc_b) { NL_DELETE_ARRAY(context->b) ; } #ifdef NL_PARANOID NL_CLEAR(NLContextStruct, context) ; #endif NL_DELETE(context) ; } void nlMakeCurrent(NLContext context) { nlCurrentContext = (NLContextStruct*)(context) ; } NLContext nlGetCurrent() { return nlCurrentContext ; } /************************************************************************/ /* Finite state automaton */ void nlCheckState(NLenum state) { nl_assert(nlCurrentContext->state == state) ; } void nlTransition(NLenum from_state, NLenum to_state) { nlCheckState(from_state) ; nlCurrentContext->state = to_state ; } /************************************************************************/ /* Default solver */ static void nlSetupPreconditioner() { switch(nlCurrentContext->preconditioner) { case NL_PRECOND_NONE: nlCurrentContext->precond_vector_prod = NULL ; break ; case NL_PRECOND_JACOBI: nlCurrentContext->precond_vector_prod = nlPreconditioner_Jacobi ; break ; case NL_PRECOND_SSOR: nlCurrentContext->precond_vector_prod = nlPreconditioner_SSOR ; break ; default: nl_assert_not_reached ; break ; } /* Check compatibility between solver and preconditioner */ if( nlCurrentContext->solver == NL_BICGSTAB && nlCurrentContext->preconditioner == NL_PRECOND_SSOR ) { nlWarning( "nlSolve", "cannot use SSOR preconditioner with non-symmetric matrix, switching to Jacobi" ) ; nlCurrentContext->preconditioner = NL_PRECOND_JACOBI ; nlCurrentContext->precond_vector_prod = nlPreconditioner_Jacobi ; } if( nlCurrentContext->solver == NL_GMRES && nlCurrentContext->preconditioner != NL_PRECOND_NONE ) { nlWarning("nlSolve", "Preconditioner not implemented yet for GMRES") ; nlCurrentContext->preconditioner = NL_PRECOND_NONE ; nlCurrentContext->precond_vector_prod = NULL ; } if( nlCurrentContext->solver == NL_SUPERLU_EXT && nlCurrentContext->preconditioner != NL_PRECOND_NONE ) { nlWarning("nlSolve", "Preconditioner not implemented yet for SUPERLU") ; nlCurrentContext->preconditioner = NL_PRECOND_NONE ; nlCurrentContext->precond_vector_prod = NULL ; } if( nlCurrentContext->solver == NL_PERM_SUPERLU_EXT && nlCurrentContext->preconditioner != NL_PRECOND_NONE ) { nlWarning("nlSolve", "Preconditioner not implemented yet for PERMSUPERLU") ; nlCurrentContext->preconditioner = NL_PRECOND_NONE ; nlCurrentContext->precond_vector_prod = NULL ; } if( nlCurrentContext->solver == NL_SYMMETRIC_SUPERLU_EXT && nlCurrentContext->preconditioner != NL_PRECOND_NONE ) { nlWarning("nlSolve", "Preconditioner not implemented yet for PERMSUPERLU") ; nlCurrentContext->preconditioner = NL_PRECOND_NONE ; nlCurrentContext->precond_vector_prod = NULL ; } } NLboolean nlDefaultSolver() { NLboolean result = NL_TRUE ; nlSetupPreconditioner() ; switch(nlCurrentContext->solver) { case NL_CG: { if(nlCurrentContext->preconditioner == NL_PRECOND_NONE) { nlCurrentContext->used_iterations = nlSolve_CG() ; } else { nlCurrentContext->used_iterations = nlSolve_CG_precond() ; } } break ; case NL_BICGSTAB: { if(nlCurrentContext->preconditioner == NL_PRECOND_NONE) { nlCurrentContext->used_iterations = nlSolve_BICGSTAB() ; } else { nlCurrentContext->used_iterations = nlSolve_BICGSTAB_precond() ; } } break ; case NL_GMRES: { nlCurrentContext->used_iterations = nlSolve_GMRES() ; } break ; case NL_CNC_FLOAT_CRS: case NL_CNC_DOUBLE_CRS: case NL_CNC_FLOAT_BCRS2: case NL_CNC_DOUBLE_BCRS2: case NL_CNC_FLOAT_ELL: case NL_CNC_DOUBLE_ELL: case NL_CNC_FLOAT_HYB: case NL_CNC_DOUBLE_HYB: { nlCurrentContext->used_iterations = nlSolve_CNC() ; } break ; case NL_SUPERLU_EXT: case NL_PERM_SUPERLU_EXT: case NL_SYMMETRIC_SUPERLU_EXT: { result = nlSolve_SUPERLU() ; } break ; default: nl_assert_not_reached ; } return result ; } /* * Copyright (c) 2004-2010, Bruno Levy * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * * Redistributions of source code must retain the above copyright notice, * this list of conditions and the following disclaimer. * * Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * Neither the name of the ALICE Project-Team nor the names of its * contributors may be used to endorse or promote products derived from this * software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * * If you modify this software, you should include a notice giving the * name of the person performing the modification, the date of modification, * and the reason for such modification. * * Contact: Bruno Levy * * levy@loria.fr * * ALICE Project * LORIA, INRIA Lorraine, * Campus Scientifique, BP 239 * 54506 VANDOEUVRE LES NANCY CEDEX * FRANCE * */ #ifdef NL_USE_ATLAS int NL_FORTRAN_WRAP(xerbla)(char *srname, int *info) { printf("** On entry to %6s, parameter number %2d had an illegal value\n", srname, *info ); return 0; } #ifndef NL_USE_BLAS #define NL_USE_BLAS #endif #endif #ifdef NL_USE_SUPERLU #ifndef NL_USE_BLAS #define NL_USE_BLAS /* * The BLAS included in SuperLU does not have DTPSV, * we use the DTPSV embedded in OpenNL. */ #define NEEDS_DTPSV #endif #endif #ifndef NL_USE_BLAS #define NEEDS_DTPSV #endif /************************************************************************/ /* BLAS routines */ /* copy-pasted from CBLAS (i.e. generated from f2c) */ /* * lsame * xerbla * daxpy * ddot * dscal * dnrm2 * dcopy * dgemv * dtpsv */ typedef NLint integer ; typedef NLdouble doublereal ; typedef NLboolean logical ; typedef NLint ftnlen ; #ifndef max #define max(x,y) ((x) > (y) ? (x) : (y)) #endif #ifndef NL_USE_BLAS int NL_FORTRAN_WRAP(lsame)(char *ca, char *cb) { /* -- LAPACK auxiliary routine (version 2.0) -- Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd., Courant Institute, Argonne National Lab, and Rice University September 30, 1994 Purpose ======= LSAME returns .TRUE. if CA is the same letter as CB regardless of case. Arguments ========= CA (input) CHARACTER*1 CB (input) CHARACTER*1 CA and CB specify the single characters to be compared. ===================================================================== */ /* System generated locals */ int ret_val; /* Local variables */ int inta, intb, zcode; ret_val = *(unsigned char *)ca == *(unsigned char *)cb; if (ret_val) { return ret_val; } /* Now test for equivalence if both characters are alphabetic. */ zcode = 'Z'; /* Use 'Z' rather than 'A' so that ASCII can be detected on Prime machines, on which ICHAR returns a value with bit 8 set. ICHAR('A') on Prime machines returns 193 which is the same as ICHAR('A') on an EBCDIC machine. */ inta = *(unsigned char *)ca; intb = *(unsigned char *)cb; if (zcode == 90 || zcode == 122) { /* ASCII is assumed - ZCODE is the ASCII code of either lower or upper case 'Z'. */ if (inta >= 97 && inta <= 122) inta += -32; if (intb >= 97 && intb <= 122) intb += -32; } else if (zcode == 233 || zcode == 169) { /* EBCDIC is assumed - ZCODE is the EBCDIC code of either lower or upper case 'Z'. */ if ((inta >= 129 && inta <= 137) || (inta >= 145 && inta <= 153) || (inta >= 162 && inta <= 169) ) inta += 64; if ( (intb >= 129 && intb <= 137) || (intb >= 145 && intb <= 153) || (intb >= 162 && intb <= 169) ) intb += 64; } else if (zcode == 218 || zcode == 250) { /* ASCII is assumed, on Prime machines - ZCODE is the ASCII code plus 128 of either lower or upper case 'Z'. */ if (inta >= 225 && inta <= 250) inta += -32; if (intb >= 225 && intb <= 250) intb += -32; } ret_val = inta == intb; return ret_val; } /* lsame_ */ /* Subroutine */ int NL_FORTRAN_WRAP(xerbla)(char *srname, int *info) { /* -- LAPACK auxiliary routine (version 2.0) -- Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd., Courant Institute, Argonne National Lab, and Rice University September 30, 1994 Purpose ======= XERBLA is an error handler for the LAPACK routines. It is called by an LAPACK routine if an input parameter has an invalid value. A message is printed and execution stops. Installers may consider modifying the STOP statement in order to call system-specific exception-handling facilities. Arguments ========= SRNAME (input) CHARACTER*6 The name of the routine which called XERBLA. INFO (input) INT The position of the invalid parameter in the parameter list of the calling routine. ===================================================================== */ printf("** On entry to %6s, parameter number %2d had an illegal value\n", srname, *info); /* End of XERBLA */ return 0; } /* xerbla_ */ /* Subroutine */ int NL_FORTRAN_WRAP(daxpy)(integer *n, doublereal *da, doublereal *dx, integer *incx, doublereal *dy, integer *incy) { /* System generated locals */ integer i__1; /* Local variables */ static integer i, m, ix, iy, mp1; /* constant times a vector plus a vector. uses unrolled loops for increments equal to one. jack dongarra, linpack, 3/11/78. modified 12/3/93, array(1) declarations changed to array(*) Parameter adjustments Function Body */ #define DY(I) dy[(I)-1] #define DX(I) dx[(I)-1] if (*n <= 0) { return 0; } if (*da == 0.) { return 0; } if (*incx == 1 && *incy == 1) { goto L20; } /* code for unequal increments or equal increments not equal to 1 */ ix = 1; iy = 1; if (*incx < 0) { ix = (-(*n) + 1) * *incx + 1; } if (*incy < 0) { iy = (-(*n) + 1) * *incy + 1; } i__1 = *n; for (i = 1; i <= *n; ++i) { DY(iy) += *da * DX(ix); ix += *incx; iy += *incy; /* L10: */ } return 0; /* code for both increments equal to 1 clean-up loop */ L20: m = *n % 4; if (m == 0) { goto L40; } i__1 = m; for (i = 1; i <= m; ++i) { DY(i) += *da * DX(i); /* L30: */ } if (*n < 4) { return 0; } L40: mp1 = m + 1; i__1 = *n; for (i = mp1; i <= *n; i += 4) { DY(i) += *da * DX(i); DY(i + 1) += *da * DX(i + 1); DY(i + 2) += *da * DX(i + 2); DY(i + 3) += *da * DX(i + 3); /* L50: */ } return 0; } /* daxpy_ */ #undef DY #undef DX doublereal NL_FORTRAN_WRAP(ddot)(integer *n, doublereal *dx, integer *incx, doublereal *dy, integer *incy) { /* System generated locals */ integer i__1; doublereal ret_val; /* Local variables */ static integer i, m; static doublereal dtemp; static integer ix, iy, mp1; /* forms the dot product of two vectors. uses unrolled loops for increments equal to one. jack dongarra, linpack, 3/11/78. modified 12/3/93, array(1) declarations changed to array(*) Parameter adjustments Function Body */ #define DY(I) dy[(I)-1] #define DX(I) dx[(I)-1] ret_val = 0.; dtemp = 0.; if (*n <= 0) { return ret_val; } if (*incx == 1 && *incy == 1) { goto L20; } /* code for unequal increments or equal increments not equal to 1 */ ix = 1; iy = 1; if (*incx < 0) { ix = (-(*n) + 1) * *incx + 1; } if (*incy < 0) { iy = (-(*n) + 1) * *incy + 1; } i__1 = *n; for (i = 1; i <= *n; ++i) { dtemp += DX(ix) * DY(iy); ix += *incx; iy += *incy; /* L10: */ } ret_val = dtemp; return ret_val; /* code for both increments equal to 1 clean-up loop */ L20: m = *n % 5; if (m == 0) { goto L40; } i__1 = m; for (i = 1; i <= m; ++i) { dtemp += DX(i) * DY(i); /* L30: */ } if (*n < 5) { goto L60; } L40: mp1 = m + 1; i__1 = *n; for (i = mp1; i <= *n; i += 5) { dtemp = dtemp + DX(i) * DY(i) + DX(i + 1) * DY(i + 1) + DX(i + 2) * DY(i + 2) + DX(i + 3) * DY(i + 3) + DX(i + 4) * DY(i + 4); /* L50: */ } L60: ret_val = dtemp; return ret_val; } /* ddot_ */ #undef DY #undef DX /* Subroutine */ int NL_FORTRAN_WRAP(dscal)(integer *n, doublereal *da, doublereal *dx, integer *incx) { /* System generated locals */ integer i__1, i__2; /* Local variables */ static integer i, m, nincx, mp1; /* scales a vector by a constant. uses unrolled loops for increment equal to one. jack dongarra, linpack, 3/11/78. modified 3/93 to return if incx .le. 0. modified 12/3/93, array(1) declarations changed to array(*) Parameter adjustments Function Body */ #ifdef DX #undef DX #endif #define DX(I) dx[(I)-1] if (*n <= 0 || *incx <= 0) { return 0; } if (*incx == 1) { goto L20; } /* code for increment not equal to 1 */ nincx = *n * *incx; i__1 = nincx; i__2 = *incx; for (i = 1; *incx < 0 ? i >= nincx : i <= nincx; i += *incx) { DX(i) = *da * DX(i); /* L10: */ } return 0; /* code for increment equal to 1 clean-up loop */ L20: m = *n % 5; if (m == 0) { goto L40; } i__2 = m; for (i = 1; i <= m; ++i) { DX(i) = *da * DX(i); /* L30: */ } if (*n < 5) { return 0; } L40: mp1 = m + 1; i__2 = *n; for (i = mp1; i <= *n; i += 5) { DX(i) = *da * DX(i); DX(i + 1) = *da * DX(i + 1); DX(i + 2) = *da * DX(i + 2); DX(i + 3) = *da * DX(i + 3); DX(i + 4) = *da * DX(i + 4); /* L50: */ } return 0; } /* dscal_ */ #undef DX doublereal NL_FORTRAN_WRAP(dnrm2)(integer *n, doublereal *x, integer *incx) { /* System generated locals */ integer i__1, i__2; doublereal ret_val, d__1; /* Builtin functions */ double sqrt(doublereal); /* Local variables */ static doublereal norm, scale, absxi; static integer ix; static doublereal ssq; /* DNRM2 returns the euclidean norm of a vector via the function name, so that DNRM2 := sqrt( x'*x ) -- This version written on 25-October-1982. Modified on 14-October-1993 to inline the call to DLASSQ. Sven Hammarling, Nag Ltd. Parameter adjustments Function Body */ #ifdef X #undef X #endif #define X(I) x[(I)-1] if (*n < 1 || *incx < 1) { norm = 0.; } else if (*n == 1) { norm = fabs(X(1)); } else { scale = 0.; ssq = 1.; /* The following loop is equivalent to this call to the LAPACK auxiliary routine: CALL DLASSQ( N, X, INCX, SCALE, SSQ ) */ i__1 = (*n - 1) * *incx + 1; i__2 = *incx; for (ix = 1; *incx < 0 ? ix >= (*n-1)**incx+1 : ix <= (*n-1)**incx+1; ix += *incx) { if (X(ix) != 0.) { absxi = (d__1 = X(ix), fabs(d__1)); if (scale < absxi) { /* Computing 2nd power */ d__1 = scale / absxi; ssq = ssq * (d__1 * d__1) + 1.; scale = absxi; } else { /* Computing 2nd power */ d__1 = absxi / scale; ssq += d__1 * d__1; } } /* L10: */ } norm = scale * sqrt(ssq); } ret_val = norm; return ret_val; /* End of DNRM2. */ } /* dnrm2_ */ #undef X /* Subroutine */ int NL_FORTRAN_WRAP(dcopy)(integer *n, doublereal *dx, integer *incx, doublereal *dy, integer *incy) { /* System generated locals */ integer i__1; /* Local variables */ static integer i, m, ix, iy, mp1; /* copies a vector, x, to a vector, y. uses unrolled loops for increments equal to one. jack dongarra, linpack, 3/11/78. modified 12/3/93, array(1) declarations changed to array(*) Parameter adjustments Function Body */ #define DY(I) dy[(I)-1] #define DX(I) dx[(I)-1] if (*n <= 0) { return 0; } if (*incx == 1 && *incy == 1) { goto L20; } /* code for unequal increments or equal increments not equal to 1 */ ix = 1; iy = 1; if (*incx < 0) { ix = (-(*n) + 1) * *incx + 1; } if (*incy < 0) { iy = (-(*n) + 1) * *incy + 1; } i__1 = *n; for (i = 1; i <= *n; ++i) { DY(iy) = DX(ix); ix += *incx; iy += *incy; /* L10: */ } return 0; /* code for both increments equal to 1 clean-up loop */ L20: m = *n % 7; if (m == 0) { goto L40; } i__1 = m; for (i = 1; i <= m; ++i) { DY(i) = DX(i); /* L30: */ } if (*n < 7) { return 0; } L40: mp1 = m + 1; i__1 = *n; for (i = mp1; i <= *n; i += 7) { DY(i) = DX(i); DY(i + 1) = DX(i + 1); DY(i + 2) = DX(i + 2); DY(i + 3) = DX(i + 3); DY(i + 4) = DX(i + 4); DY(i + 5) = DX(i + 5); DY(i + 6) = DX(i + 6); /* L50: */ } return 0; } /* dcopy_ */ #undef DX #undef DY /* Subroutine */ int NL_FORTRAN_WRAP(dgemv)(char *trans, integer *m, integer *n, doublereal * alpha, doublereal *a, integer *lda, doublereal *x, integer *incx, doublereal *beta, doublereal *y, integer *incy) { /* System generated locals */ /* integer a_dim1, a_offset ; */ integer i__1, i__2; /* Local variables */ static integer info; static doublereal temp; static integer lenx, leny, i, j; /* extern logical lsame_(char *, char *); */ static integer ix, iy, jx, jy, kx, ky; /* extern int xerbla_(char *, integer *); */ /* Purpose ======= DGEMV performs one of the matrix-vector operations y := alpha*A*x + beta*y, or y := alpha*A'*x + beta*y, where alpha and beta are scalars, x and y are vectors and A is an m by n matrix. Parameters ========== TRANS - CHARACTER*1. On entry, TRANS specifies the operation to be performed as follows: TRANS = 'N' or 'n' y := alpha*A*x + beta*y. TRANS = 'T' or 't' y := alpha*A'*x + beta*y. TRANS = 'C' or 'c' y := alpha*A'*x + beta*y. Unchanged on exit. M - INTEGER. On entry, M specifies the number of rows of the matrix A. M must be at least zero. Unchanged on exit. N - INTEGER. On entry, N specifies the number of columns of the matrix A. N must be at least zero. Unchanged on exit. ALPHA - DOUBLE PRECISION. On entry, ALPHA specifies the scalar alpha. Unchanged on exit. A - DOUBLE PRECISION array of DIMENSION ( LDA, n ). Before entry, the leading m by n part of the array A must contain the matrix of coefficients. Unchanged on exit. LDA - INTEGER. On entry, LDA specifies the first dimension of A as declared in the calling (sub) program. LDA must be at least max( 1, m ). Unchanged on exit. X - DOUBLE PRECISION array of DIMENSION at least ( 1 + ( n - 1 )*abs( INCX ) ) when TRANS = 'N' or 'n' and at least ( 1 + ( m - 1 )*abs( INCX ) ) otherwise. Before entry, the incremented array X must contain the vector x. Unchanged on exit. INCX - INTEGER. On entry, INCX specifies the increment for the elements of X. INCX must not be zero. Unchanged on exit. BETA - DOUBLE PRECISION. On entry, BETA specifies the scalar beta. When BETA is supplied as zero then Y need not be set on input. Unchanged on exit. Y - DOUBLE PRECISION array of DIMENSION at least ( 1 + ( m - 1 )*abs( INCY ) ) when TRANS = 'N' or 'n' and at least ( 1 + ( n - 1 )*abs( INCY ) ) otherwise. Before entry with BETA non-zero, the incremented array Y must contain the vector y. On exit, Y is overwritten by the updated vector y. INCY - INTEGER. On entry, INCY specifies the increment for the elements of Y. INCY must not be zero. Unchanged on exit. Level 2 Blas routine. -- Written on 22-October-1986. Jack Dongarra, Argonne National Lab. Jeremy Du Croz, Nag Central Office. Sven Hammarling, Nag Central Office. Richard Hanson, Sandia National Labs. Test the input parameters. Parameter adjustments Function Body */ #define X(I) x[(I)-1] #define Y(I) y[(I)-1] #define A(I,J) a[(I)-1 + ((J)-1)* ( *lda)] info = 0; if (! NL_FORTRAN_WRAP(lsame)(trans, "N") && ! NL_FORTRAN_WRAP(lsame)(trans, "T") && ! NL_FORTRAN_WRAP(lsame)(trans, "C")) { info = 1; } else if (*m < 0) { info = 2; } else if (*n < 0) { info = 3; } else if (*lda < max(1,*m)) { info = 6; } else if (*incx == 0) { info = 8; } else if (*incy == 0) { info = 11; } if (info != 0) { NL_FORTRAN_WRAP(xerbla)("DGEMV ", &info); return 0; } /* Quick return if possible. */ if (*m == 0 || *n == 0 || (*alpha == 0. && *beta == 1.)) { return 0; } /* Set LENX and LENY, the lengths of the vectors x and y, and set up the start points in X and Y. */ if (NL_FORTRAN_WRAP(lsame)(trans, "N")) { lenx = *n; leny = *m; } else { lenx = *m; leny = *n; } if (*incx > 0) { kx = 1; } else { kx = 1 - (lenx - 1) * *incx; } if (*incy > 0) { ky = 1; } else { ky = 1 - (leny - 1) * *incy; } /* Start the operations. In this version the elements of A are accessed sequentially with one pass through A. First form y := beta*y. */ if (*beta != 1.) { if (*incy == 1) { if (*beta == 0.) { i__1 = leny; for (i = 1; i <= leny; ++i) { Y(i) = 0.; /* L10: */ } } else { i__1 = leny; for (i = 1; i <= leny; ++i) { Y(i) = *beta * Y(i); /* L20: */ } } } else { iy = ky; if (*beta == 0.) { i__1 = leny; for (i = 1; i <= leny; ++i) { Y(iy) = 0.; iy += *incy; /* L30: */ } } else { i__1 = leny; for (i = 1; i <= leny; ++i) { Y(iy) = *beta * Y(iy); iy += *incy; /* L40: */ } } } } if (*alpha == 0.) { return 0; } if (NL_FORTRAN_WRAP(lsame)(trans, "N")) { /* Form y := alpha*A*x + y. */ jx = kx; if (*incy == 1) { i__1 = *n; for (j = 1; j <= *n; ++j) { if (X(jx) != 0.) { temp = *alpha * X(jx); i__2 = *m; for (i = 1; i <= *m; ++i) { Y(i) += temp * A(i,j); /* L50: */ } } jx += *incx; /* L60: */ } } else { i__1 = *n; for (j = 1; j <= *n; ++j) { if (X(jx) != 0.) { temp = *alpha * X(jx); iy = ky; i__2 = *m; for (i = 1; i <= *m; ++i) { Y(iy) += temp * A(i,j); iy += *incy; /* L70: */ } } jx += *incx; /* L80: */ } } } else { /* Form y := alpha*A'*x + y. */ jy = ky; if (*incx == 1) { i__1 = *n; for (j = 1; j <= *n; ++j) { temp = 0.; i__2 = *m; for (i = 1; i <= *m; ++i) { temp += A(i,j) * X(i); /* L90: */ } Y(jy) += *alpha * temp; jy += *incy; /* L100: */ } } else { i__1 = *n; for (j = 1; j <= *n; ++j) { temp = 0.; ix = kx; i__2 = *m; for (i = 1; i <= *m; ++i) { temp += A(i,j) * X(ix); ix += *incx; /* L110: */ } Y(jy) += *alpha * temp; jy += *incy; /* L120: */ } } } return 0; /* End of DGEMV . */ } /* dgemv_ */ #undef X #undef Y #undef A #else extern void NL_FORTRAN_WRAP(daxpy)( int *n, double *alpha, double *x, int *incx, double *y, int *incy ) ; extern double NL_FORTRAN_WRAP(ddot)( int *n, double *x, int *incx, double *y, int *incy ) ; extern double NL_FORTRAN_WRAP(dnrm2)( int *n, double *x, int *incx ) ; extern int NL_FORTRAN_WRAP(dcopy)(int* n, double* dx, int* incx, double* dy, int* incy) ; extern void NL_FORTRAN_WRAP(dscal)(int* n, double* alpha, double *x, int* incx) ; #ifndef NEEDS_DTPSV extern void NL_FORTRAN_WRAP(dtpsv)( char *uplo, char *trans, char *diag, int *n, double *AP, double *x, int *incx ) ; #endif extern void NL_FORTRAN_WRAP(dgemv)( char *trans, int *m, int *n, double *alpha, double *A, int *ldA, double *x, int *incx, double *beta, double *y, int *incy ) ; #endif #ifdef NEEDS_DTPSV /* DECK DTPSV */ /* Subroutine */ int NL_FORTRAN_WRAP(dtpsv)(uplo, trans, diag, n, ap, x, incx, uplo_len, trans_len, diag_len) char *uplo, *trans, *diag; integer *n; doublereal *ap, *x; integer *incx; ftnlen uplo_len; ftnlen trans_len; ftnlen diag_len; { /* System generated locals */ integer i__1, i__2; /* Local variables */ static integer info; static doublereal temp; static integer i__, j, k; /* extern logical lsame_(); */ static integer kk, ix, jx, kx; /* extern int xerbla_(); */ static logical nounit; /* ***BEGIN PROLOGUE DTPSV */ /* ***PURPOSE Solve one of the systems of equations. */ /* ***LIBRARY SLATEC (BLAS) */ /* ***CATEGORY D1B4 */ /* ***TYPE DOUBLE PRECISION (STPSV-S, DTPSV-D, CTPSV-C) */ /* ***KEYWORDS LEVEL 2 BLAS, LINEAR ALGEBRA */ /* ***AUTHOR Dongarra, J. J., (ANL) */ /* Du Croz, J., (NAG) */ /* Hammarling, S., (NAG) */ /* Hanson, R. J., (SNLA) */ /* ***DESCRIPTION */ /* DTPSV solves one of the systems of equations */ /* A*x = b, or A'*x = b, */ /* where b and x are n element vectors and A is an n by n unit, or */ /* non-unit, upper or lower triangular matrix, supplied in packed form. */ /* No test for singularity or near-singularity is included in this */ /* routine. Such tests must be performed before calling this routine. */ /* Parameters */ /* ========== */ /* UPLO - CHARACTER*1. */ /* On entry, UPLO specifies whether the matrix is an upper or */ /* lower triangular matrix as follows: */ /* UPLO = 'U' or 'u' A is an upper triangular matrix. */ /* UPLO = 'L' or 'l' A is a lower triangular matrix. */ /* Unchanged on exit. */ /* TRANS - CHARACTER*1. */ /* On entry, TRANS specifies the equations to be solved as */ /* follows: */ /* TRANS = 'N' or 'n' A*x = b. */ /* TRANS = 'T' or 't' A'*x = b. */ /* TRANS = 'C' or 'c' A'*x = b. */ /* Unchanged on exit. */ /* DIAG - CHARACTER*1. */ /* On entry, DIAG specifies whether or not A is unit */ /* triangular as follows: */ /* DIAG = 'U' or 'u' A is assumed to be unit triangular. */ /* DIAG = 'N' or 'n' A is not assumed to be unit */ /* triangular. */ /* Unchanged on exit. */ /* N - INTEGER. */ /* On entry, N specifies the order of the matrix A. */ /* N must be at least zero. */ /* Unchanged on exit. */ /* AP - DOUBLE PRECISION array of DIMENSION at least */ /* ( ( n*( n + 1))/2). */ /* Before entry with UPLO = 'U' or 'u', the array AP must */ /* contain the upper triangular matrix packed sequentially, */ /* column by column, so that AP( 1 ) contains a( 1, 1 ), */ /* AP( 2 ) and AP( 3 ) contain a( 1, 2 ) and a( 2, 2 ) */ /* respectively, and so on. */ /* Before entry with UPLO = 'L' or 'l', the array AP must */ /* contain the lower triangular matrix packed sequentially, */ /* column by column, so that AP( 1 ) contains a( 1, 1 ), */ /* AP( 2 ) and AP( 3 ) contain a( 2, 1 ) and a( 3, 1 ) */ /* respectively, and so on. */ /* Note that when DIAG = 'U' or 'u', the diagonal elements of */ /* A are not referenced, but are assumed to be unity. */ /* Unchanged on exit. */ /* X - DOUBLE PRECISION array of dimension at least */ /* ( 1 + ( n - 1 )*abs( INCX ) ). */ /* Before entry, the incremented array X must contain the n */ /* element right-hand side vector b. On exit, X is overwritten */ /* with the solution vector x. */ /* INCX - INTEGER. */ /* On entry, INCX specifies the increment for the elements of */ /* X. INCX must not be zero. */ /* Unchanged on exit. */ /* ***REFERENCES Dongarra, J. J., Du Croz, J., Hammarling, S., and */ /* Hanson, R. J. An extended set of Fortran basic linear */ /* algebra subprograms. ACM TOMS, Vol. 14, No. 1, */ /* pp. 1-17, March 1988. */ /* ***ROUTINES CALLED LSAME, XERBLA */ /* ***REVISION HISTORY (YYMMDD) */ /* 861022 DATE WRITTEN */ /* 910605 Modified to meet SLATEC prologue standards. Only comment */ /* lines were modified. (BKS) */ /* ***END PROLOGUE DTPSV */ /* .. Scalar Arguments .. */ /* .. Array Arguments .. */ /* .. Parameters .. */ /* .. Local Scalars .. */ /* .. External Functions .. */ /* .. External Subroutines .. */ /* ***FIRST EXECUTABLE STATEMENT DTPSV */ /* Test the input parameters. */ /* Parameter adjustments */ --x; --ap; /* Function Body */ info = 0; if (!NL_FORTRAN_WRAP(lsame)(uplo, "U") && !NL_FORTRAN_WRAP(lsame)(uplo, "L") ) { info = 1; } else if ( !NL_FORTRAN_WRAP(lsame)(trans, "N") && !NL_FORTRAN_WRAP(lsame)(trans, "T") && !NL_FORTRAN_WRAP(lsame)(trans, "C") ) { info = 2; } else if ( !NL_FORTRAN_WRAP(lsame)(diag, "U") && !NL_FORTRAN_WRAP(lsame)(diag, "N") ) { info = 3; } else if (*n < 0) { info = 4; } else if (*incx == 0) { info = 7; } if (info != 0) { NL_FORTRAN_WRAP(xerbla)("DTPSV ", &info); return 0; } /* Quick return if possible. */ if (*n == 0) { return 0; } nounit = NL_FORTRAN_WRAP(lsame)(diag, "N"); /* Set up the start point in X if the increment is not unity. This */ /* will be ( N - 1 )*INCX too small for descending loops. */ if (*incx <= 0) { kx = 1 - (*n - 1) * *incx; } else if (*incx != 1) { kx = 1; } /* Start the operations. In this version the elements of AP are */ /* accessed sequentially with one pass through AP. */ if (NL_FORTRAN_WRAP(lsame)(trans, "N")) { /* Form x := inv( A )*x. */ if (NL_FORTRAN_WRAP(lsame)(uplo, "U")) { kk = *n * (*n + 1) / 2; if (*incx == 1) { for (j = *n; j >= 1; --j) { if (x[j] != 0.) { if (nounit) { x[j] /= ap[kk]; } temp = x[j]; k = kk - 1; for (i__ = j - 1; i__ >= 1; --i__) { x[i__] -= temp * ap[k]; --k; /* L10: */ } } kk -= j; /* L20: */ } } else { jx = kx + (*n - 1) * *incx; for (j = *n; j >= 1; --j) { if (x[jx] != 0.) { if (nounit) { x[jx] /= ap[kk]; } temp = x[jx]; ix = jx; i__1 = kk - j + 1; for (k = kk - 1; k >= i__1; --k) { ix -= *incx; x[ix] -= temp * ap[k]; /* L30: */ } } jx -= *incx; kk -= j; /* L40: */ } } } else { kk = 1; if (*incx == 1) { i__1 = *n; for (j = 1; j <= i__1; ++j) { if (x[j] != 0.) { if (nounit) { x[j] /= ap[kk]; } temp = x[j]; k = kk + 1; i__2 = *n; for (i__ = j + 1; i__ <= i__2; ++i__) { x[i__] -= temp * ap[k]; ++k; /* L50: */ } } kk += *n - j + 1; /* L60: */ } } else { jx = kx; i__1 = *n; for (j = 1; j <= i__1; ++j) { if (x[jx] != 0.) { if (nounit) { x[jx] /= ap[kk]; } temp = x[jx]; ix = jx; i__2 = kk + *n - j; for (k = kk + 1; k <= i__2; ++k) { ix += *incx; x[ix] -= temp * ap[k]; /* L70: */ } } jx += *incx; kk += *n - j + 1; /* L80: */ } } } } else { /* Form x := inv( A' )*x. */ if (NL_FORTRAN_WRAP(lsame)(uplo, "U")) { kk = 1; if (*incx == 1) { i__1 = *n; for (j = 1; j <= i__1; ++j) { temp = x[j]; k = kk; i__2 = j - 1; for (i__ = 1; i__ <= i__2; ++i__) { temp -= ap[k] * x[i__]; ++k; /* L90: */ } if (nounit) { temp /= ap[kk + j - 1]; } x[j] = temp; kk += j; /* L100: */ } } else { jx = kx; i__1 = *n; for (j = 1; j <= i__1; ++j) { temp = x[jx]; ix = kx; i__2 = kk + j - 2; for (k = kk; k <= i__2; ++k) { temp -= ap[k] * x[ix]; ix += *incx; /* L110: */ } if (nounit) { temp /= ap[kk + j - 1]; } x[jx] = temp; jx += *incx; kk += j; /* L120: */ } } } else { kk = *n * (*n + 1) / 2; if (*incx == 1) { for (j = *n; j >= 1; --j) { temp = x[j]; k = kk; i__1 = j + 1; for (i__ = *n; i__ >= i__1; --i__) { temp -= ap[k] * x[i__]; --k; /* L130: */ } if (nounit) { temp /= ap[kk - *n + j]; } x[j] = temp; kk -= *n - j + 1; /* L140: */ } } else { kx += (*n - 1) * *incx; jx = kx; for (j = *n; j >= 1; --j) { temp = x[jx]; ix = kx; i__1 = kk - (*n - (j + 1)); for (k = kk; k >= i__1; --k) { temp -= ap[k] * x[ix]; ix -= *incx; /* L150: */ } if (nounit) { temp /= ap[kk - *n + j]; } x[jx] = temp; jx -= *incx; kk -= *n - j + 1; /* L160: */ } } } } return 0; /* End of DTPSV . */ } /* dtpsv_ */ #endif /***********************************************************************************/ /* C wrappers for BLAS routines */ /* x <- a*x */ void dscal( int n, double alpha, double *x, int incx ) { NL_FORTRAN_WRAP(dscal)(&n,&alpha,x,&incx); } /* y <- x */ void dcopy( int n, double *x, int incx, double *y, int incy ) { NL_FORTRAN_WRAP(dcopy)(&n,x,&incx,y,&incy); } /* y <- a*x+y */ void daxpy( int n, double alpha, double *x, int incx, double *y, int incy ) { NL_FORTRAN_WRAP(daxpy)(&n,&alpha,x,&incx,y,&incy); } /* returns x^T*y */ double ddot( int n, double *x, int incx, double *y, int incy ) { return NL_FORTRAN_WRAP(ddot)(&n,x,&incx,y,&incy); } /** returns |x|_2 */ double dnrm2( int n, double *x, int incx ) { return NL_FORTRAN_WRAP(dnrm2)(&n,x,&incx); } /** x <- A^{-1}*x, x <- A^{-T}*x */ void dtpsv( MatrixTriangle uplo, MatrixTranspose trans, MatrixUnitTriangular diag, int n, double *AP, double *x, int incx ) { static char *UL[2] = { "U", "L" }; static char *T[3] = { "N", "T", 0 }; static char *D[2] = { "U", "N" }; NL_FORTRAN_WRAP(dtpsv)(UL[(int)uplo],T[(int)trans],D[(int)diag],&n,AP,x,&incx); } /** y <- alpha*A*x + beta*y, y <- alpha*A^T*x + beta*y, A-(m,n) */ void dgemv( MatrixTranspose trans, int m, int n, double alpha, double *A, int ldA, double *x, int incx, double beta, double *y, int incy ) { static char *T[3] = { "N", "T", 0 }; NL_FORTRAN_WRAP(dgemv)(T[(int)trans],&m,&n,&alpha,A,&ldA,x,&incx,&beta,y,&incy); } /************************************************************************/ /* End of BLAS routines */ /************************************************************************/ /* * Copyright (c) 2004-2010, Bruno Levy * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * * Redistributions of source code must retain the above copyright notice, * this list of conditions and the following disclaimer. * * Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * Neither the name of the ALICE Project-Team nor the names of its * contributors may be used to endorse or promote products derived from this * software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * * If you modify this software, you should include a notice giving the * name of the person performing the modification, the date of modification, * and the reason for such modification. * * Contact: Bruno Levy * * levy@loria.fr * * ALICE Project * LORIA, INRIA Lorraine, * Campus Scientifique, BP 239 * 54506 VANDOEUVRE LES NANCY CEDEX * FRANCE * */ /************************************************************************/ /* Solvers */ /* * The implementation of the solvers is inspired by * the lsolver library, by Christian Badura, available from: * http://www.mathematik.uni-freiburg.de * /IAM/Research/projectskr/lin_solver/ * * About the Conjugate Gradient, details can be found in: * Ashby, Manteuffel, Saylor * A taxononmy for conjugate gradient methods * SIAM J Numer Anal 27, 1542-1568 (1990) */ NLuint nlSolve_CG() { NLdouble* b = nlCurrentContext->b ; NLdouble* x = nlCurrentContext->x ; NLdouble eps = nlCurrentContext->threshold ; NLuint max_iter = nlCurrentContext->max_iterations ; NLint N = nlCurrentContext->n ; NLdouble *g = NL_NEW_ARRAY(NLdouble, N) ; NLdouble *r = NL_NEW_ARRAY(NLdouble, N) ; NLdouble *p = NL_NEW_ARRAY(NLdouble, N) ; NLuint its=0; NLint i; NLdouble t, tau, sig, rho, gam; NLdouble b_square=ddot(N,b,1,b,1); NLdouble err=eps*eps*b_square; NLdouble accu =0.0; NLdouble * Ax=NL_NEW_ARRAY(NLdouble,nlCurrentContext->n); NLdouble curr_err; nlCurrentContext->matrix_vector_prod(x,g); daxpy(N,-1.,b,1,g,1); dscal(N,-1.,g,1); dcopy(N,g,1,r,1); curr_err = ddot(N,g,1,g,1); while ( curr_err >err && its < max_iter) { if(!(its % 100)) { printf ( "%d : %.10e -- %.10e\n", its, curr_err, err ) ; } nlCurrentContext->matrix_vector_prod(r,p); rho=ddot(N,p,1,p,1); sig=ddot(N,r,1,p,1); tau=ddot(N,g,1,r,1); t=tau/sig; daxpy(N,t,r,1,x,1); daxpy(N,-t,p,1,g,1); gam=(t*t*rho-tau)/tau; dscal(N,gam,r,1); daxpy(N,1.,g,1,r,1); ++its; curr_err = ddot(N,g,1,g,1); } nlCurrentContext->matrix_vector_prod(x,Ax); for(i = 0 ; i < N ; ++i) accu+=(Ax[i]-b[i])*(Ax[i]-b[i]); printf("in OpenNL : ||Ax-b||/||b|| = %e\n",sqrt(accu)/sqrt(b_square)); NL_DELETE_ARRAY(Ax); NL_DELETE_ARRAY(g) ; NL_DELETE_ARRAY(r) ; NL_DELETE_ARRAY(p) ; return its; } NLuint nlSolve_CG_precond() { NLdouble* b = nlCurrentContext->b ; NLdouble* x = nlCurrentContext->x ; NLdouble eps = nlCurrentContext->threshold ; NLuint max_iter = nlCurrentContext->max_iterations ; NLint N = nlCurrentContext->n ; NLdouble* r = NL_NEW_ARRAY(NLdouble, N) ; NLdouble* d = NL_NEW_ARRAY(NLdouble, N) ; NLdouble* h = NL_NEW_ARRAY(NLdouble, N) ; NLdouble *Ad = h; NLuint its=0; NLdouble rh, alpha, beta; NLdouble b_square = ddot(N,b,1,b,1); NLdouble err=eps*eps*b_square; NLint i; NLdouble * Ax=NL_NEW_ARRAY(NLdouble,nlCurrentContext->n); NLdouble accu =0.0; NLdouble curr_err; nlCurrentContext->matrix_vector_prod(x,r); daxpy(N,-1.,b,1,r,1); nlCurrentContext->precond_vector_prod(r,d); dcopy(N,d,1,h,1); rh=ddot(N,r,1,h,1); curr_err = ddot(N,r,1,r,1); while ( curr_err >err && its < max_iter) { if(!(its % 100)) { printf ( "%d : %.10e -- %.10e\n", its, curr_err, err ) ; } nlCurrentContext->matrix_vector_prod(d,Ad); alpha=rh/ddot(N,d,1,Ad,1); daxpy(N,-alpha,d,1,x,1); daxpy(N,-alpha,Ad,1,r,1); nlCurrentContext->precond_vector_prod(r,h); beta=1./rh; rh=ddot(N,r,1,h,1); beta*=rh; dscal(N,beta,d,1); daxpy(N,1.,h,1,d,1); ++its; // calcul de l'erreur courante curr_err = ddot(N,r,1,r,1); } nlCurrentContext->matrix_vector_prod(x,Ax); for(i = 0 ; i < N ; ++i) accu+=(Ax[i]-b[i])*(Ax[i]-b[i]); printf("in OpenNL : ||Ax-b||/||b|| = %e\n",sqrt(accu)/sqrt(b_square)); NL_DELETE_ARRAY(Ax); NL_DELETE_ARRAY(r) ; NL_DELETE_ARRAY(d) ; NL_DELETE_ARRAY(h) ; return its; } NLuint nlSolve_BICGSTAB() { NLdouble* b = nlCurrentContext->b ; NLdouble* x = nlCurrentContext->x ; NLdouble eps = nlCurrentContext->threshold ; NLuint max_iter = nlCurrentContext->max_iterations ; NLint N = nlCurrentContext->n ; NLint i ; NLdouble *rT = NL_NEW_ARRAY(NLdouble, N) ; NLdouble *d = NL_NEW_ARRAY(NLdouble, N) ; NLdouble *h = NL_NEW_ARRAY(NLdouble, N) ; NLdouble *u = NL_NEW_ARRAY(NLdouble, N) ; NLdouble *Ad = NL_NEW_ARRAY(NLdouble, N) ; NLdouble *t = NL_NEW_ARRAY(NLdouble, N) ; NLdouble *s = h; NLdouble rTh, rTAd, rTr, alpha, beta, omega, st, tt ; NLuint its=0; NLdouble b_square = ddot(N,b,1,b,1); NLdouble err=eps*eps*b_square; NLdouble *r = NL_NEW_ARRAY(NLdouble, N) ; NLdouble * Ax=NL_NEW_ARRAY(NLdouble,nlCurrentContext->n); NLdouble accu =0.0; nlCurrentContext->matrix_vector_prod(x,r); daxpy(N,-1.,b,1,r,1); dcopy(N,r,1,d,1); dcopy(N,d,1,h,1); dcopy(N,h,1,rT,1); nl_assert( ddot(N,rT,1,rT,1)>1e-40 ); rTh=ddot(N,rT,1,h,1); rTr=ddot(N,r,1,r,1); while ( rTr>err && its < max_iter) { if(!(its % 100)) { printf ( "%d : %.10e -- %.10e\n", its, rTr, err ) ; } nlCurrentContext->matrix_vector_prod(d,Ad); rTAd=ddot(N,rT,1,Ad,1); nl_assert( fabs(rTAd)>1e-40 ); alpha=rTh/rTAd; daxpy(N,-alpha,Ad,1,r,1); dcopy(N,h,1,s,1); daxpy(N,-alpha,Ad,1,s,1); nlCurrentContext->matrix_vector_prod(s,t); daxpy(N,1.,t,1,u,1); dscal(N,alpha,u,1); st=ddot(N,s,1,t,1); tt=ddot(N,t,1,t,1); if ( fabs(st)<1e-40 || fabs(tt)<1e-40 ) { omega = 0.; } else { omega = st/tt; } daxpy(N,-omega,t,1,r,1); daxpy(N,-alpha,d,1,x,1); daxpy(N,-omega,s,1,x,1); dcopy(N,s,1,h,1); daxpy(N,-omega,t,1,h,1); beta=(alpha/omega)/rTh; rTh=ddot(N,rT,1,h,1); beta*=rTh; dscal(N,beta,d,1); daxpy(N,1.,h,1,d,1); daxpy(N,-beta*omega,Ad,1,d,1); rTr=ddot(N,r,1,r,1); ++its; } nlCurrentContext->matrix_vector_prod(x,Ax); for(i = 0 ; i < N ; ++i){ accu+=(Ax[i]-b[i])*(Ax[i]-b[i]); } printf("in OpenNL : ||Ax-b||/||b|| = %e\n",sqrt(accu)/sqrt(b_square)); NL_DELETE_ARRAY(Ax); NL_DELETE_ARRAY(r) ; NL_DELETE_ARRAY(rT) ; NL_DELETE_ARRAY(d) ; NL_DELETE_ARRAY(h) ; NL_DELETE_ARRAY(u) ; NL_DELETE_ARRAY(Ad) ; NL_DELETE_ARRAY(t) ; return its; } NLuint nlSolve_BICGSTAB_precond() { NLdouble* b = nlCurrentContext->b ; NLdouble* x = nlCurrentContext->x ; NLdouble eps = nlCurrentContext->threshold ; NLuint max_iter = nlCurrentContext->max_iterations ; NLint N = nlCurrentContext->n ; NLint i; NLdouble *rT = NL_NEW_ARRAY(NLdouble, N) ; NLdouble *d = NL_NEW_ARRAY(NLdouble, N) ; NLdouble *h = NL_NEW_ARRAY(NLdouble, N) ; NLdouble *u = NL_NEW_ARRAY(NLdouble, N) ; NLdouble *Sd = NL_NEW_ARRAY(NLdouble, N) ; NLdouble *t = NL_NEW_ARRAY(NLdouble, N) ; NLdouble *aux = NL_NEW_ARRAY(NLdouble, N) ; NLdouble *s = h; NLdouble rTh, rTSd, rTr, alpha, beta, omega, st, tt; NLuint its=0; NLdouble b_square = ddot(N,b,1,b,1); NLdouble err = eps*eps*b_square; NLdouble *r = NL_NEW_ARRAY(NLdouble, N); NLdouble * Ax = NL_NEW_ARRAY(NLdouble,nlCurrentContext->n); NLdouble accu =0.0; nlCurrentContext->matrix_vector_prod(x,r); daxpy(N,-1.,b,1,r,1); nlCurrentContext->precond_vector_prod(r,d); dcopy(N,d,1,h,1); dcopy(N,h,1,rT,1); nl_assert( ddot(N,rT,1,rT,1)>1e-40 ); rTh=ddot(N,rT,1,h,1); rTr=ddot(N,r,1,r,1); while ( rTr>err && its < max_iter) { if(!(its % 100)) { printf ( "%d : %.10e -- %.10e\n", its, rTr, err ) ; } nlCurrentContext->matrix_vector_prod(d,aux); nlCurrentContext->precond_vector_prod(aux,Sd); rTSd=ddot(N,rT,1,Sd,1); nl_assert( fabs(rTSd)>1e-40 ); alpha=rTh/rTSd; daxpy(N,-alpha,aux,1,r,1); dcopy(N,h,1,s,1); daxpy(N,-alpha,Sd,1,s,1); nlCurrentContext->matrix_vector_prod(s,aux); nlCurrentContext->precond_vector_prod(aux,t); daxpy(N,1.,t,1,u,1); dscal(N,alpha,u,1); st=ddot(N,s,1,t,1); tt=ddot(N,t,1,t,1); if ( fabs(st)<1e-40 || fabs(tt)<1e-40 ) { omega = 0.; } else { omega = st/tt; } daxpy(N,-omega,aux,1,r,1); daxpy(N,-alpha,d,1,x,1); daxpy(N,-omega,s,1,x,1); dcopy(N,s,1,h,1); daxpy(N,-omega,t,1,h,1); beta=(alpha/omega)/rTh; rTh=ddot(N,rT,1,h,1); beta*=rTh; dscal(N,beta,d,1); daxpy(N,1.,h,1,d,1); daxpy(N,-beta*omega,Sd,1,d,1); rTr=ddot(N,r,1,r,1); ++its; } nlCurrentContext->matrix_vector_prod(x,Ax); for(i = 0 ; i < N ; ++i){ accu+=(Ax[i]-b[i])*(Ax[i]-b[i]); } printf("in OpenNL : ||Ax-b||/||b|| = %e\n",sqrt(accu)/sqrt(b_square)); NL_DELETE_ARRAY(Ax); NL_DELETE_ARRAY(r); NL_DELETE_ARRAY(rT); NL_DELETE_ARRAY(d); NL_DELETE_ARRAY(h); NL_DELETE_ARRAY(u); NL_DELETE_ARRAY(Sd); NL_DELETE_ARRAY(t); NL_DELETE_ARRAY(aux); return its; } NLuint nlSolve_GMRES() { NLdouble* b = nlCurrentContext->b ; NLdouble* x = nlCurrentContext->x ; NLdouble eps = nlCurrentContext->threshold ; NLint max_iter = nlCurrentContext->max_iterations ; NLint n = nlCurrentContext->n ; NLint m = nlCurrentContext->inner_iterations ; typedef NLdouble *NLdoubleP; NLdouble *V = NL_NEW_ARRAY(NLdouble, n*(m+1) ) ; NLdouble *U = NL_NEW_ARRAY(NLdouble, m*(m+1)/2 ) ; NLdouble *r = NL_NEW_ARRAY(NLdouble, n ) ; NLdouble *y = NL_NEW_ARRAY(NLdouble, m+1 ) ; NLdouble *c = NL_NEW_ARRAY(NLdouble, m ) ; NLdouble *s = NL_NEW_ARRAY(NLdouble, m ) ; NLdouble **v = NL_NEW_ARRAY(NLdoubleP, m+1 ) ; NLdouble * Ax = NL_NEW_ARRAY(NLdouble,nlCurrentContext->n); NLdouble accu =0.0; NLint i, j, io, uij, u0j ; NLint its = -1 ; NLdouble beta, h, rd, dd, nrm2b ; for ( i=0; i<=m; ++i ){ v[i]=V+i*n ; } nrm2b=dnrm2(n,b,1); io=0; do { /* outer loop */ ++io; nlCurrentContext->matrix_vector_prod(x,r); daxpy(n,-1.,b,1,r,1); beta=dnrm2(n,r,1); dcopy(n,r,1,v[0],1); dscal(n,1./beta,v[0],1); y[0]=beta; j=0; uij=0; do { /* inner loop: j=0,...,m-1 */ u0j=uij; nlCurrentContext->matrix_vector_prod(v[j],v[j+1]); dgemv( Transpose,n,j+1,1.,V,n,v[j+1],1,0.,U+u0j,1 ); dgemv( NoTranspose,n,j+1,-1.,V,n,U+u0j,1,1.,v[j+1],1 ); h=dnrm2(n,v[j+1],1); dscal(n,1./h,v[j+1],1); for (i=0; i=eps*nrm2b ) ; { /* minimiere bzgl Y */ dtpsv( UpperTriangle, NoTranspose, NotUnitTriangular, j,U,y,1 ); /* correct X */ dgemv(NoTranspose,n,j,-1.,V,n,y,1,1.,x,1); } } while ( fabs(y[j])>=eps*nrm2b && (m*(io-1)+j) < max_iter); /* Count the inner iterations */ its = m*(io-1)+j; nlCurrentContext->matrix_vector_prod(x,Ax); for(i = 0 ; i < n ; ++i) accu+=(Ax[i]-b[i])*(Ax[i]-b[i]); printf("in OpenNL : ||Ax-b||/||b|| = %e\n",sqrt(accu)/nrm2b); NL_DELETE_ARRAY(Ax); NL_DELETE_ARRAY(V) ; NL_DELETE_ARRAY(U) ; NL_DELETE_ARRAY(r) ; NL_DELETE_ARRAY(y) ; NL_DELETE_ARRAY(c) ; NL_DELETE_ARRAY(s) ; NL_DELETE_ARRAY(v) ; return its; } /* * Copyright (c) 2004-2010, Bruno Levy * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * * Redistributions of source code must retain the above copyright notice, * this list of conditions and the following disclaimer. * * Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * Neither the name of the ALICE Project-Team nor the names of its * contributors may be used to endorse or promote products derived from this * software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * * If you modify this software, you should include a notice giving the * name of the person performing the modification, the date of modification, * and the reason for such modification. * * Contact: Bruno Levy * * levy@loria.fr * * ALICE Project * LORIA, INRIA Lorraine, * Campus Scientifique, BP 239 * 54506 VANDOEUVRE LES NANCY CEDEX * FRANCE * */ /******************************************************************************/ /* preconditioners */ /* Utilities for preconditioners */ void nlMultDiagonal(NLdouble* xy, NLdouble omega) { NLuint N = nlCurrentContext->n ; NLuint i ; NLdouble* diag = nlCurrentContext->M.diag ; for(i=0; in ; NLuint i ; NLdouble* diag = nlCurrentContext->M.diag ; for(i=0; iM) ; NLuint n = A->n ; NLdouble* diag = A->diag ; NLuint i ; NLuint ij ; NLRowColumn* Ri = NULL ; NLCoeff* c = NULL ; NLdouble S ; nl_assert(A->storage & NL_MATRIX_STORE_SYMMETRIC) ; nl_assert(A->storage & NL_MATRIX_STORE_ROWS) ; for(i=0; irow[i]) ; for(ij=0; ij < Ri->size; ij++) { c = &(Ri->coeff[ij]) ; nl_parano_assert(c->index <= i) ; if(c->index != i) { S += c->value * y[c->index] ; } } y[i] = (x[i] - S) * omega / diag[i] ; } } void nlMultUpperInverse(NLdouble* x, NLdouble* y, NLdouble omega) { NLSparseMatrix* A = &(nlCurrentContext->M) ; NLuint n = A->n ; NLdouble* diag = A->diag ; NLint i ; NLuint ij ; NLRowColumn* Ci = NULL ; NLCoeff* c = NULL ; NLdouble S ; nl_assert(A->storage & NL_MATRIX_STORE_SYMMETRIC) ; nl_assert(A->storage & NL_MATRIX_STORE_COLUMNS) ; for(i=n-1; i>=0; i--) { S = 0 ; Ci = &(A->column[i]) ; for(ij=0; ij < Ci->size; ij++) { c = &(Ci->coeff[ij]) ; nl_parano_assert(c->index >= i) ; if(c->index != i) { S += c->value * y[c->index] ; } } y[i] = (x[i] - S) * omega / diag[i] ; } } void nlPreconditioner_Jacobi(NLdouble* x, NLdouble* y) { NLuint N = nlCurrentContext->n ; dcopy(N, x, 1, y, 1) ; nlMultDiagonalInverse(y, 1.0) ; } void nlPreconditioner_SSOR(NLdouble* x, NLdouble* y) { NLdouble omega = nlCurrentContext->omega ; static double* work = NULL ; static int work_size = 0 ; NLuint n = nlCurrentContext->n ; if(n != work_size) { work = NL_RENEW_ARRAY(NLdouble, work, n) ; work_size = n ; } nlMultLowerInverse(x, work, omega) ; nlMultDiagonal(work, omega) ; nlMultUpperInverse(work, y, omega) ; dscal(n, 2.0 - omega, y, 1) ; } /* * Copyright (c) 2004-2010, Bruno Levy * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * * Redistributions of source code must retain the above copyright notice, * this list of conditions and the following disclaimer. * * Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * Neither the name of the ALICE Project-Team nor the names of its * contributors may be used to endorse or promote products derived from this * software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * * If you modify this software, you should include a notice giving the * name of the person performing the modification, the date of modification, * and the reason for such modification. * * Contact: Bruno Levy * * levy@loria.fr * * ALICE Project * LORIA, INRIA Lorraine, * Campus Scientifique, BP 239 * 54506 VANDOEUVRE LES NANCY CEDEX * FRANCE * */ /************************************************************************/ /* SuperLU wrapper */ #ifdef NL_USE_SUPERLU /* SuperLU includes */ #include #include /* Note: SuperLU is difficult to call, but it is worth it. */ /* Here is a driver inspired by A. Sheffer's "cow flattener". */ NLboolean nlSolve_SUPERLU() { /* OpenNL Context */ NLSparseMatrix* M = &(nlCurrentContext->M) ; NLdouble* b = nlCurrentContext->b ; NLdouble* x = nlCurrentContext->x ; /* Compressed Row Storage matrix representation */ NLuint n = nlCurrentContext->n ; NLuint nnz = nlSparseMatrixNNZ(M) ; /* Number of Non-Zero coeffs */ NLint* xa = NL_NEW_ARRAY(NLint, n+1) ; NLdouble* rhs = NL_NEW_ARRAY(NLdouble, n) ; NLdouble* a = NL_NEW_ARRAY(NLdouble, nnz) ; NLint* asub = NL_NEW_ARRAY(NLint, nnz) ; /* Permutation vector */ NLint* perm_r = NL_NEW_ARRAY(NLint, n) ; NLint* perm = NL_NEW_ARRAY(NLint, n) ; /* SuperLU variables */ SuperMatrix A, B ; /* System */ SuperMatrix L, U ; /* Inverse of A */ NLint info ; /* status code */ DNformat *vals = NULL ; /* access to result */ double *rvals = NULL ; /* access to result */ /* SuperLU options and stats */ superlu_options_t options ; SuperLUStat_t stat ; /* Temporary variables */ NLRowColumn* Ri = NULL ; NLuint i,jj,count ; /* Sanity checks */ nl_assert(!(M->storage & NL_MATRIX_STORE_SYMMETRIC)) ; nl_assert(M->storage & NL_MATRIX_STORE_ROWS) ; nl_assert(M->m == M->n) ; /* * Step 1: convert matrix M into SuperLU compressed column * representation. * ------------------------------------------------------- */ count = 0 ; for(i=0; irow[i]) ; xa[i] = count ; for(jj=0; jjsize; jj++) { a[count] = Ri->coeff[jj].value ; asub[count] = Ri->coeff[jj].index ; count++ ; } } xa[n] = nnz ; /* Save memory for SuperLU */ nlSparseMatrixClear(M) ; /* * Rem: SuperLU does not support symmetric storage. * In fact, for symmetric matrix, what we need * is a SuperLLt algorithm (SuperNodal sparse Cholesky), * but it does not exist, anybody wants to implement it ? * However, this is not a big problem (SuperLU is just * a superset of what we really need. */ dCreate_CompCol_Matrix( &A, n, n, nnz, a, asub, xa, SLU_NR, /* Row_wise, no supernode */ SLU_D, /* doubles */ SLU_GE /* general storage */ ); /* Step 2: create vector */ dCreate_Dense_Matrix( &B, n, 1, b, n, SLU_DN, /* Fortran-type column-wise storage */ SLU_D, /* doubles */ SLU_GE /* general */ ); /* Step 3: set SuperLU options * ------------------------------ */ set_default_options(&options) ; switch(nlCurrentContext->solver) { case NL_SUPERLU_EXT: { options.ColPerm = NATURAL ; } break ; case NL_PERM_SUPERLU_EXT: { options.ColPerm = COLAMD ; } break ; case NL_SYMMETRIC_SUPERLU_EXT: { options.ColPerm = MMD_AT_PLUS_A ; options.SymmetricMode = YES ; } break ; default: { nl_assert_not_reached ; } break ; } StatInit(&stat) ; /* Step 4: call SuperLU main routine * --------------------------------- */ dgssv(&options, &A, perm, perm_r, &L, &U, &B, &stat, &info); /* Step 5: get the solution * ------------------------ * Fortran-type column-wise storage */ vals = (DNformat*)B.Store; rvals = (double*)(vals->nzval); if(info == 0) { for(i = 0; i < n; i++){ x[i] = rvals[i]; } } else { nlError("nlSolve()", "SuperLU failed") ; } /* Step 6: cleanup * --------------- */ /* * For these two ones, only the "store" structure * needs to be deallocated (the arrays have been allocated * by us). */ Destroy_SuperMatrix_Store(&A) ; Destroy_SuperMatrix_Store(&B) ; /* * These ones need to be fully deallocated (they have been * allocated by SuperLU). */ Destroy_SuperNode_Matrix(&L); Destroy_CompCol_Matrix(&U); /* There are some dynamically allocated vectors in the stats */ StatFree(&stat) ; NL_DELETE_ARRAY(xa) ; NL_DELETE_ARRAY(rhs) ; NL_DELETE_ARRAY(a) ; NL_DELETE_ARRAY(asub) ; NL_DELETE_ARRAY(perm_r) ; NL_DELETE_ARRAY(perm) ; return (info == 0) ; } #else NLboolean nlSolve_SUPERLU() { nl_assert_not_reached ; return 0; } #endif /* * Copyright (c) 2004-2010, Bruno Levy * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * * Redistributions of source code must retain the above copyright notice, * this list of conditions and the following disclaimer. * * Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * Neither the name of the ALICE Project-Team nor the names of its * contributors may be used to endorse or promote products derived from this * software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * * If you modify this software, you should include a notice giving the * name of the person performing the modification, the date of modification, * and the reason for such modification. * * Contact: Bruno Levy * * levy@loria.fr * * ALICE Project * LORIA, INRIA Lorraine, * Campus Scientifique, BP 239 * 54506 VANDOEUVRE LES NANCY CEDEX * FRANCE * */ NLboolean nlSolverIsCNC(NLint solver){ return solver == NL_CNC_FLOAT_CRS || solver == NL_CNC_DOUBLE_CRS || solver == NL_CNC_FLOAT_BCRS2 || solver == NL_CNC_DOUBLE_BCRS2 || solver == NL_CNC_FLOAT_ELL || solver == NL_CNC_DOUBLE_ELL || solver == NL_CNC_FLOAT_HYB || solver == NL_CNC_DOUBLE_HYB; } /************************************************************************/ /* CNC wrapper */ #ifdef NL_USE_CNC NLuint nlSolve_CNC() { unsigned int i; NLdouble* b = nlCurrentContext->b ; NLdouble* x = nlCurrentContext->x ; NLdouble eps = nlCurrentContext->threshold ; NLuint max_iter = nlCurrentContext->max_iterations ; NLSparseMatrix *M = &(nlCurrentContext->M); // local variables for the final error computation NLuint val_ret; NLdouble * Ax=NL_NEW_ARRAY(NLdouble,nlCurrentContext->n); NLdouble accu = 0.0; NLdouble b_square = 0.0; //nl_assert( M->n == nlCurrentContext->n); // call to cnc solver val_ret=cnc_solve_cg(M, b, x, max_iter, eps, nlCurrentContext->solver); // compute the final error nlCurrentContext->matrix_vector_prod(x,Ax); for(i = 0 ; i < M->n ; ++i) { accu +=(Ax[i]-b[i])*(Ax[i]-b[i]); b_square += b[i]*b[i]; } printf("in OpenNL : ||Ax-b||/||b|| = %e\n",sqrt(accu)/sqrt(b_square)); // cleaning NL_DELETE_ARRAY(Ax); return val_ret; } #else NLuint nlSolve_CNC() { nl_assert_not_reached ; } #endif /* * Copyright (c) 2004-2010, Bruno Levy * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * * Redistributions of source code must retain the above copyright notice, * this list of conditions and the following disclaimer. * * Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * Neither the name of the ALICE Project-Team nor the names of its * contributors may be used to endorse or promote products derived from this * software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * * If you modify this software, you should include a notice giving the * name of the person performing the modification, the date of modification, * and the reason for such modification. * * Contact: Bruno Levy * * levy@loria.fr * * ALICE Project * LORIA, INRIA Lorraine, * Campus Scientifique, BP 239 * 54506 VANDOEUVRE LES NANCY CEDEX * FRANCE * */ NLboolean nlInitExtension(const char* extension) { #ifdef NL_USE_SUPERLU if(!strcmp(extension, "SUPERLU")) { return NL_TRUE ; } #endif #ifdef NL_USE_CNC if(!strcmp(extension, "CNC")) { return NL_TRUE ; } #endif return NL_FALSE ; } /************************************************************************************/ /* Get/Set parameters */ void nlSolverParameterd(NLenum pname, NLdouble param) { nlCheckState(NL_STATE_INITIAL) ; switch(pname) { case NL_SOLVER: { nlCurrentContext->solver = (NLenum)param ; } break ; case NL_NB_VARIABLES: { nl_assert(param > 0) ; nlCurrentContext->nb_variables = (NLuint)param ; } break ; case NL_LEAST_SQUARES: { nlCurrentContext->least_squares = (NLboolean)param ; } break ; case NL_MAX_ITERATIONS: { nl_assert(param > 0) ; nlCurrentContext->max_iterations = (NLuint)param ; } break ; case NL_THRESHOLD: { nl_assert(param >= 0) ; nlCurrentContext->threshold = (NLdouble)param ; } break ; case NL_OMEGA: { nl_range_assert(param,1.0,2.0) ; nlCurrentContext->omega = (NLdouble)param ; } break ; case NL_SYMMETRIC: { nlCurrentContext->symmetric = (NLboolean)param ; } case NL_INNER_ITERATIONS: { nl_assert(param > 0) ; nlCurrentContext->inner_iterations = (NLuint)param ; } break ; case NL_PRECONDITIONER: { nlCurrentContext->preconditioner = (NLuint)param ; } break ; default: { nl_assert_not_reached ; } break ; } } void nlSolverParameteri(NLenum pname, NLint param) { nlCheckState(NL_STATE_INITIAL) ; switch(pname) { case NL_SOLVER: { nlCurrentContext->solver = (NLenum)param ; } break ; case NL_NB_VARIABLES: { nl_assert(param > 0) ; nlCurrentContext->nb_variables = (NLuint)param ; } break ; case NL_LEAST_SQUARES: { nlCurrentContext->least_squares = (NLboolean)param ; } break ; case NL_MAX_ITERATIONS: { nl_assert(param > 0) ; nlCurrentContext->max_iterations = (NLuint)param ; } break ; case NL_THRESHOLD: { nl_assert(param >= 0) ; nlCurrentContext->threshold = (NLdouble)param ; } break ; case NL_OMEGA: { nl_range_assert(param,1,2) ; nlCurrentContext->omega = (NLdouble)param ; } break ; case NL_SYMMETRIC: { nlCurrentContext->symmetric = (NLboolean)param ; } case NL_INNER_ITERATIONS: { nl_assert(param > 0) ; nlCurrentContext->inner_iterations = (NLuint)param ; } break ; case NL_PRECONDITIONER: { nlCurrentContext->preconditioner = (NLuint)param ; } break ; default: { nl_assert_not_reached ; } break ; } } void nlRowParameterd(NLenum pname, NLdouble param) { nlCheckState(NL_STATE_MATRIX) ; switch(pname) { case NL_RIGHT_HAND_SIDE: { nlCurrentContext->right_hand_side = param ; } break ; case NL_ROW_SCALING: { nlCurrentContext->row_scaling = param ; } break ; } } void nlRowParameteri(NLenum pname, NLint param) { nlCheckState(NL_STATE_MATRIX) ; switch(pname) { case NL_RIGHT_HAND_SIDE: { nlCurrentContext->right_hand_side = (NLdouble)param ; } break ; case NL_ROW_SCALING: { nlCurrentContext->row_scaling = (NLdouble)param ; } break ; } } void nlGetBooleanv(NLenum pname, NLboolean* params) { switch(pname) { case NL_LEAST_SQUARES: { *params = nlCurrentContext->least_squares ; } break ; case NL_SYMMETRIC: { *params = nlCurrentContext->symmetric ; } break ; default: { nl_assert_not_reached ; } break ; } } void nlGetDoublev(NLenum pname, NLdouble* params) { switch(pname) { case NL_SOLVER: { *params = (NLdouble)(nlCurrentContext->solver) ; } break ; case NL_NB_VARIABLES: { *params = (NLdouble)(nlCurrentContext->nb_variables) ; } break ; case NL_LEAST_SQUARES: { *params = (NLdouble)(nlCurrentContext->least_squares) ; } break ; case NL_MAX_ITERATIONS: { *params = (NLdouble)(nlCurrentContext->max_iterations) ; } break ; case NL_THRESHOLD: { *params = (NLdouble)(nlCurrentContext->threshold) ; } break ; case NL_OMEGA: { *params = (NLdouble)(nlCurrentContext->omega) ; } break ; case NL_SYMMETRIC: { *params = (NLdouble)(nlCurrentContext->symmetric) ; } break ; case NL_USED_ITERATIONS: { *params = (NLdouble)(nlCurrentContext->used_iterations) ; } break ; case NL_ERROR: { *params = (NLdouble)(nlCurrentContext->error) ; } break ; case NL_ELAPSED_TIME: { *params = (NLdouble)(nlCurrentContext->elapsed_time) ; } break ; case NL_PRECONDITIONER: { *params = (NLdouble)(nlCurrentContext->preconditioner) ; } break ; default: { nl_assert_not_reached ; } break ; } } void nlGetIntergerv(NLenum pname, NLint* params) { switch(pname) { case NL_SOLVER: { *params = (NLint)(nlCurrentContext->solver) ; } break ; case NL_NB_VARIABLES: { *params = (NLint)(nlCurrentContext->nb_variables) ; } break ; case NL_LEAST_SQUARES: { *params = (NLint)(nlCurrentContext->least_squares) ; } break ; case NL_MAX_ITERATIONS: { *params = (NLint)(nlCurrentContext->max_iterations) ; } break ; case NL_THRESHOLD: { *params = (NLint)(nlCurrentContext->threshold) ; } break ; case NL_OMEGA: { *params = (NLint)(nlCurrentContext->omega) ; } break ; case NL_SYMMETRIC: { *params = (NLint)(nlCurrentContext->symmetric) ; } break ; case NL_USED_ITERATIONS: { *params = (NLint)(nlCurrentContext->used_iterations) ; } break ; case NL_PRECONDITIONER: { *params = (NLint)(nlCurrentContext->preconditioner) ; } break ; default: { nl_assert_not_reached ; } break ; } } /************************************************************************************/ /* Enable / Disable */ void nlEnable(NLenum pname) { switch(pname) { case NL_NORMALIZE_ROWS: { nl_assert(nlCurrentContext->state != NL_STATE_ROW) ; nlCurrentContext->normalize_rows = NL_TRUE ; } break ; default: { nl_assert_not_reached ; } } } void nlDisable(NLenum pname) { switch(pname) { case NL_NORMALIZE_ROWS: { nl_assert(nlCurrentContext->state != NL_STATE_ROW) ; nlCurrentContext->normalize_rows = NL_FALSE ; } break ; default: { nl_assert_not_reached ; } } } NLboolean nlIsEnabled(NLenum pname) { switch(pname) { case NL_NORMALIZE_ROWS: { return nlCurrentContext->normalize_rows ; } break ; default: { nl_assert_not_reached ; } } return NL_FALSE ; } /************************************************************************************/ /* NL functions */ void nlSetFunction(NLenum pname, void* param) { switch(pname) { case NL_FUNC_SOLVER: nlCurrentContext->solver_func = (NLSolverFunc)(param) ; break ; case NL_FUNC_MATRIX: nlCurrentContext->matrix_vector_prod = (NLMatrixFunc)(param) ; nlCurrentContext->solver = NL_SOLVER_USER ; break ; case NL_FUNC_PRECONDITIONER: nlCurrentContext->precond_vector_prod = (NLMatrixFunc)(param) ; nlCurrentContext->preconditioner = NL_PRECOND_USER ; break ; default: nl_assert_not_reached ; } } void nlGetFunction(NLenum pname, void** param) { switch(pname) { case NL_FUNC_SOLVER: *param = nlCurrentContext->solver_func ; break ; case NL_FUNC_MATRIX: *param = nlCurrentContext->matrix_vector_prod ; break ; case NL_FUNC_PRECONDITIONER: *param = nlCurrentContext->precond_vector_prod ; break ; default: nl_assert_not_reached ; } } /************************************************************************************/ /* Get/Set Lock/Unlock variables */ void nlSetVariable(NLuint index, NLdouble value) { nlCheckState(NL_STATE_SYSTEM) ; nl_debug_range_assert(index, 0, nlCurrentContext->nb_variables - 1) ; nlCurrentContext->variable[index].value = value ; } NLdouble nlGetVariable(NLuint index) { nl_assert(nlCurrentContext->state != NL_STATE_INITIAL) ; nl_debug_range_assert(index, 0, nlCurrentContext->nb_variables - 1) ; return nlCurrentContext->variable[index].value ; } void nlLockVariable(NLuint index) { nlCheckState(NL_STATE_SYSTEM) ; nl_debug_range_assert(index, 0, nlCurrentContext->nb_variables - 1) ; nlCurrentContext->variable[index].locked = NL_TRUE ; } void nlUnlockVariable(NLuint index) { nlCheckState(NL_STATE_SYSTEM) ; nl_debug_range_assert(index, 0, nlCurrentContext->nb_variables - 1) ; nlCurrentContext->variable[index].locked = NL_FALSE ; } NLboolean nlVariableIsLocked(NLuint index) { nl_assert(nlCurrentContext->state != NL_STATE_INITIAL) ; nl_debug_range_assert(index, 0, nlCurrentContext->nb_variables - 1) ; return nlCurrentContext->variable[index].locked ; } /************************************************************************************/ /* System construction */ void nlVariablesToVector() { NLuint i ; nl_assert(nlCurrentContext->alloc_x) ; nl_assert(nlCurrentContext->alloc_variable) ; for(i=0; inb_variables; i++) { NLVariable* v = &(nlCurrentContext->variable[i]) ; if(!v->locked) { nl_assert(v->index < nlCurrentContext->n) ; nlCurrentContext->x[v->index] = v->value ; } } } void nlVectorToVariables() { NLuint i ; nl_assert(nlCurrentContext->alloc_x) ; nl_assert(nlCurrentContext->alloc_variable) ; for(i=0; inb_variables; i++) { NLVariable* v = &(nlCurrentContext->variable[i]) ; if(!v->locked) { nl_assert(v->index < nlCurrentContext->n) ; v->value = nlCurrentContext->x[v->index] ; } } } void nlBeginSystem() { nlTransition(NL_STATE_INITIAL, NL_STATE_SYSTEM) ; nl_assert(nlCurrentContext->nb_variables > 0) ; nlCurrentContext->variable = NL_NEW_ARRAY( NLVariable, nlCurrentContext->nb_variables ) ; nlCurrentContext->alloc_variable = NL_TRUE ; } void nlEndSystem() { nlTransition(NL_STATE_MATRIX_CONSTRUCTED, NL_STATE_SYSTEM_CONSTRUCTED) ; } void nlBeginMatrix() { NLuint i ; NLuint n = 0 ; NLenum storage = NL_MATRIX_STORE_ROWS ; nlTransition(NL_STATE_SYSTEM, NL_STATE_MATRIX) ; for(i=0; inb_variables; i++) { if(!nlCurrentContext->variable[i].locked) { nlCurrentContext->variable[i].index = n ; n++ ; } else { nlCurrentContext->variable[i].index = ~0 ; } } nlCurrentContext->n = n ; /* SSOR preconditioner requires rows and columns */ if(nlCurrentContext->preconditioner == NL_PRECOND_SSOR) { storage = (storage | NL_MATRIX_STORE_COLUMNS) ; } /* a least squares problem results in a symmetric matrix */ if(nlCurrentContext->least_squares && !nlSolverIsCNC(nlCurrentContext->solver)) { nlCurrentContext->symmetric = NL_TRUE ; } if(nlCurrentContext->symmetric) { storage = (storage | NL_MATRIX_STORE_SYMMETRIC) ; } /* SuperLU storage does not support symmetric storage */ if( nlCurrentContext->solver == NL_SUPERLU_EXT || nlCurrentContext->solver == NL_PERM_SUPERLU_EXT || nlCurrentContext->solver == NL_SYMMETRIC_SUPERLU_EXT ) { storage = (storage & ~NL_SYMMETRIC) ; } nlSparseMatrixConstruct(&nlCurrentContext->M, n, n, storage) ; nlCurrentContext->alloc_M = NL_TRUE ; nlCurrentContext->x = NL_NEW_ARRAY(NLdouble, n) ; nlCurrentContext->alloc_x = NL_TRUE ; nlCurrentContext->b = NL_NEW_ARRAY(NLdouble, n) ; nlCurrentContext->alloc_b = NL_TRUE ; nlVariablesToVector() ; nlRowColumnConstruct(&nlCurrentContext->af) ; nlCurrentContext->alloc_af = NL_TRUE ; nlRowColumnConstruct(&nlCurrentContext->al) ; nlCurrentContext->alloc_al = NL_TRUE ; nlRowColumnConstruct(&nlCurrentContext->xl) ; nlCurrentContext->alloc_xl = NL_TRUE ; nlCurrentContext->current_row = 0 ; } void nlEndMatrix() { nlTransition(NL_STATE_MATRIX, NL_STATE_MATRIX_CONSTRUCTED) ; nlRowColumnDestroy(&nlCurrentContext->af) ; nlCurrentContext->alloc_af = NL_FALSE ; nlRowColumnDestroy(&nlCurrentContext->al) ; nlCurrentContext->alloc_al = NL_FALSE ; nlRowColumnDestroy(&nlCurrentContext->xl) ; nlCurrentContext->alloc_al = NL_FALSE ; if(!nlCurrentContext->least_squares) { nl_assert( nlCurrentContext->current_row == nlCurrentContext->n ) ; } } void nlBeginRow() { nlTransition(NL_STATE_MATRIX, NL_STATE_ROW) ; nlRowColumnZero(&nlCurrentContext->af) ; nlRowColumnZero(&nlCurrentContext->al) ; nlRowColumnZero(&nlCurrentContext->xl) ; } void nlScaleRow(NLdouble s) { NLRowColumn* af = &nlCurrentContext->af ; NLRowColumn* al = &nlCurrentContext->al ; NLuint nf = af->size ; NLuint nl = al->size ; NLuint i ; for(i=0; icoeff[i].value *= s ; } for(i=0; icoeff[i].value *= s ; } nlCurrentContext->right_hand_side *= s ; } void nlNormalizeRow(NLdouble weight) { NLRowColumn* af = &nlCurrentContext->af ; NLRowColumn* al = &nlCurrentContext->al ; NLuint nf = af->size ; NLuint nl = al->size ; NLuint i ; NLdouble norm = 0.0 ; for(i=0; icoeff[i].value * af->coeff[i].value ; } for(i=0; icoeff[i].value * al->coeff[i].value ; } norm = sqrt(norm) ; nlScaleRow(weight / norm) ; } void nlEndRow() { NLRowColumn* af = &nlCurrentContext->af ; NLRowColumn* al = &nlCurrentContext->al ; NLRowColumn* xl = &nlCurrentContext->xl ; NLSparseMatrix* M = &nlCurrentContext->M ; NLdouble* b = nlCurrentContext->b ; NLuint nf = af->size ; NLuint nl = al->size ; NLuint current_row = nlCurrentContext->current_row ; NLuint i ; NLuint j ; NLdouble S ; nlTransition(NL_STATE_ROW, NL_STATE_MATRIX) ; if(nlCurrentContext->normalize_rows) { nlNormalizeRow(nlCurrentContext->row_scaling) ; } else { nlScaleRow(nlCurrentContext->row_scaling) ; } // if least_squares : we want to solve // A'A x = A'b // if(nlCurrentContext->least_squares) { for(i=0; icoeff[i].index, af->coeff[j].index, af->coeff[i].value * af->coeff[j].value ) ; } } S = -nlCurrentContext->right_hand_side ; for(j=0; jcoeff[j].value * xl->coeff[j].value ; } for(i=0; icoeff[i].index ] -= af->coeff[i].value * S ; } } else { for(i=0; icoeff[i].index, af->coeff[i].value ) ; } b[current_row] = -nlCurrentContext->right_hand_side ; for(i=0; icoeff[i].value * xl->coeff[i].value ; } } nlCurrentContext->current_row++ ; nlCurrentContext->right_hand_side = 0.0 ; nlCurrentContext->row_scaling = 1.0 ; } void nlCoefficient(NLuint index, NLdouble value) { NLVariable* v = NULL ; nlCheckState(NL_STATE_ROW) ; nl_debug_range_assert(index, 0, nlCurrentContext->nb_variables - 1) ; v = &(nlCurrentContext->variable[index]) ; if(v->locked) { nlRowColumnAppend(&(nlCurrentContext->al), 0, value) ; nlRowColumnAppend(&(nlCurrentContext->xl), 0, v->value) ; } else { nlRowColumnAppend(&(nlCurrentContext->af), v->index, value) ; } } void nlBegin(NLenum prim) { switch(prim) { case NL_SYSTEM: { nlBeginSystem() ; } break ; case NL_MATRIX: { nlBeginMatrix() ; } break ; case NL_ROW: { nlBeginRow() ; } break ; default: { nl_assert_not_reached ; } } } void nlEnd(NLenum prim) { switch(prim) { case NL_SYSTEM: { nlEndSystem() ; } break ; case NL_MATRIX: { nlEndMatrix() ; } break ; case NL_ROW: { nlEndRow() ; } break ; default: { nl_assert_not_reached ; } } } /************************************************************************/ /* nlSolve() driver routine */ NLboolean nlSolve() { NLboolean result ; NLdouble start_time = nlCurrentTime() ; nlCheckState(NL_STATE_SYSTEM_CONSTRUCTED) ; nlCurrentContext->elapsed_time = 0 ; result = nlCurrentContext->solver_func() ; nlVectorToVariables() ; nlCurrentContext->elapsed_time = nlCurrentTime() - start_time ; nlTransition(NL_STATE_SYSTEM_CONSTRUCTED, NL_STATE_SOLVED) ; return result ; } octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/src/plugins/0000755001356000007640000000000013673436411023215 5ustar fangqadminoctave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/src/plugins/cnc/0000755001356000007640000000000013673436411023760 5ustar fangqadminoctave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/src/plugins/cnc/cnc_utils.h0000644001356000007640000001614013673436411026116 0ustar fangqadmin/* * Copyright (c) 2004-2010, Bruno Levy * All rights reserved. * * CNC: Concurrent Number Cruncher, original code by Luc Buatois * Copyright (C) 2008-2010 GOCAD/ASGA, INRIA/ALICE * * Sparse matrix-vector multiplication (SpMV) CUDA kernels based on code * by Nathan Bell and Michael Garland at NVIDIA. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * * Redistributions of source code must retain the above copyright notice, * this list of conditions and the following disclaimer. * * Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * Neither the name of the ALICE Project-Team nor the names of its * contributors may be used to endorse or promote products derived from this * software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * * If you modify this software, you should include a notice giving the * name of the person performing the modification, the date of modification, * and the reason for such modification. * * Contact: Bruno Levy * * levy@loria.fr * * ALICE Project * LORIA, INRIA Lorraine, * Campus Scientifique, BP 239 * 54506 VANDOEUVRE LES NANCY CEDEX * FRANCE * */ #ifndef CNC_UTILS_H #define CNC_UTILS_H #include "cnc_cublas_utils.h" #include "cnc_arrays.h" //---------------------------------------------------------------------------// #define CNC_ASSERT(isOK,message) \ if ( !(isOK) ) { \ (void)printf("ERROR!! Assert '%s' failed\n%s\n", \ #isOK, message); \ return false ; \ } #define CNC_SHORT_ASSERT(isOK,message) \ if ( !(isOK) ) { \ (void)printf("%s\n", message); \ return false ; \ } #define CNC_SIMPLE_ASSERT(isOK,message) \ if ( !(isOK) ) { \ (void)printf("ERROR!! Assert '%s' failed\n%s\n", \ #isOK, message); \ } //---------------------------------------------------------------------------// // Memory allocation functions host / device // //---------------------------------------------------------------------------// template inline void new_device_vector(TypeVector ** device_vec, unsigned int size_vec){ cublasAlloc( size_vec , sizeof(TypeVector), (void **)device_vec ) ; } template inline void new_host_vector(TypeVector ** host_vec, unsigned int size_vec){ *host_vec = NL_NEW_ARRAY(TypeVector, size_vec); NL_CLEAR_ARRAY(TypeVector , *host_vec , size_vec); } //---------------------------------------------------------------------------// // Memory deallocation functions host / device // //---------------------------------------------------------------------------// template inline void delete_device_vector(TypeVector ** device_vec){ cublasFree( *device_vec ) ; *device_vec = NULL; } template inline void delete_host_vector(TypeVector ** host_vec){ NL_DELETE_ARRAY( *host_vec); } //---------------------------------------------------------------------------// // Memory copying functions host to device // //---------------------------------------------------------------------------// template inline void copy_host_to_device_vector( const TypeVector * host_vec, TypeVector * device_vec, unsigned int size_vec){ cublasSetVector( size_vec, sizeof(TypeVector), host_vec, 1, (void*)device_vec, 1 ) ; } template inline void copy_host_to_device_vector( const CNCArray1d & host_array, TypeVector * device_vec){ cublasSetVector( host_array.size(), sizeof(TypeVector), host_array.data(), 1, (void*)device_vec, 1 ) ; } //---------------------------------------------------------------------------// // Memory copying functions device to host // //---------------------------------------------------------------------------// template inline void copy_device_to_host_vector( const TypeVector * device_vec, TypeVector * host_vec, unsigned int size_vec){ cublasGetVector( size_vec, sizeof(TypeVector), (void*)device_vec, 1, host_vec, 1 ); } template inline void copy_device_to_host_vector( const TypeVector * device_vec, CNCArray1d & host_array){ cublasGetVector( host_array.size(), sizeof(TypeVector), (void*)device_vec, 1, host_array.data(), 1 ); } //---------------------------------------------------------------------------// // Wrappers for cublas : wrapXfunc -> cublas + {S|D} + {axpy | scal | dot } //---------------------------------------------------------------------------// // cublasSaxpy inline void wrapXaxpy ( int N, float alpha, const float * gpu_x, int inc_x, float * gpu_y, int inc_y){ cublasSaxpy( N, alpha, gpu_x, inc_x, gpu_y, inc_y); } // cublasDaxpy inline void wrapXaxpy ( int N, double alpha, const double * gpu_x, int inc_x, double * gpu_y, int inc_y){ cublasDaxpy( N, alpha, gpu_x, inc_x, gpu_y, inc_y); } // cublasScal inline void wrapXscal ( int N, float alpha, float * gpu_x, int inc_x){ cublasSscal( N, alpha, gpu_x, inc_x); } // cublasDscal inline void wrapXscal ( int N, double alpha, double * gpu_x, int inc_x){ cublasDscal( N, alpha, gpu_x, inc_x); } // cublasSdot inline float wrapXdot ( int N, const float * x, int inc_x, const float *y, int inc_y){ return cublasSdot( N, x, inc_x ,y, inc_y); } // cublasDdot inline double wrapXdot ( int N, const double * x, int inc_x, const double *y, int inc_y){ return cublasDdot( N, x, inc_x ,y, inc_y); } //---------------------------------// // Wrapper for the sqrt function // //-------------------------------- // inline float sqrt_gen ( float x){ return sqrtf(x); } inline double sqrt_gen ( double x){ return sqrt(x); } #endif octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/src/plugins/cnc/cnc_sparse_matrix_ell.h0000644001356000007640000002470013673436411030474 0ustar fangqadmin/* * Copyright (c) 2004-2010, Bruno Levy * All rights reserved. * * CNC: Concurrent Number Cruncher, original code by Luc Buatois * Copyright (C) 2008-2010 GOCAD/ASGA, INRIA/ALICE * * Sparse matrix-vector multiplication (SpMV) CUDA kernels based on code * by Nathan Bell and Michael Garland at NVIDIA. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * * Redistributions of source code must retain the above copyright notice, * this list of conditions and the following disclaimer. * * Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * Neither the name of the ALICE Project-Team nor the names of its * contributors may be used to endorse or promote products derived from this * software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * * If you modify this software, you should include a notice giving the * name of the person performing the modification, the date of modification, * and the reason for such modification. * * Contact: Bruno Levy * * levy@loria.fr * * ALICE Project * LORIA, INRIA Lorraine, * Campus Scientifique, BP 239 * 54506 VANDOEUVRE LES NANCY CEDEX * FRANCE * */ #ifndef CNC_SPARSE_MATRIX_ELL_H #define CNC_SPARSE_MATRIX_ELL_H #include "cnc_utils.h" #include "cnc_cublas_utils.h" #include "cnc_arrays.h" #include "cnc_kernels.h" #include "cnc_texture.h" #include #include #include #include extern "C" { #include } class CNCSparseMatrixPatternELL { public: typedef unsigned int index_type; typedef CNCArray1d IndexArray ; CNCSparseMatrixPatternELL() { num_rows = 0 ; num_cols = 0 ; num_nonzeros = 0 ; num_cols_per_row = 0 ; stride = 0 ; } void clear() { num_rows = 0 ; num_cols = 0 ; num_nonzeros = 0 ; num_cols_per_row = 0 ; stride = 0 ; indices.clear() ; } // number of rows unsigned int m() const { return num_rows ; } /** number of columns */ unsigned int n() const { return num_cols ; } /** number of non-zero coefficients */ unsigned int nnz() const { return num_nonzeros ; } /** number of num_cols_per_rows */ unsigned int ncpr() const { return num_cols_per_row ; } public: index_type num_rows; index_type num_cols; index_type num_nonzeros; index_type num_cols_per_row; index_type stride; IndexArray indices; }; template class CNCSparseMatrixELL : public CNCSparseMatrixPatternELL { public: typedef TypeMatrix type_value; typedef CNCArray1d CoeffArray ; inline CNCSparseMatrixELL() { } template inline void mult(const TypeVector* x, TypeVector* y, const unsigned int vec_size) const ; template inline void mult(const CNCArray1d& x, CNCArray1d& y) const { mult(x.data(), y.data(), x.size()) ; } inline unsigned int data_size() const { return a.size() ; } inline TypeMatrix * diagonal() { return diag.data() ; } inline const TypeMatrix * diagonal() const { return diag.data() ; } inline void gpu_allocate_and_upload () ; inline void gpu_deallocate () ; template inline void gpu_mult ( const TypeVector * x, TypeVector* y, unsigned int vec_size) ; //inline void print(std::ostream& out) ; inline void print (); // arrays to store data and diag CoeffArray a ; CoeffArray diag ; // GPU data unsigned int * gpu_indices_ ; TypeMatrix * gpu_mat_ ; } ; //---------------------------------------------------------------------------// // printf function for ELL sparse matrix // //---------------------------------------------------------------------------// template inline void CNCSparseMatrixELL::print () { for(unsigned int i=0; i< m(); i++) { for(unsigned int jj=0 ; jj< ncpr() ; jj++) { unsigned int index= stride * jj + i; if(a[index] != 0.0){ printf ( "%d %d %f\n", i, indices[index], a[index] ) ; } } } } //---------------------------------------------------------------------------// // Matrix-Vector product for ELL sparse matrix on CPU // //---------------------------------------------------------------------------// template template inline void CNCSparseMatrixELL::mult( const TypeVector* x, TypeVector* y, const unsigned int vec_size) const { for(unsigned int i=0; i< num_rows; i++) { TypeVector sum = 0.0 ; for(unsigned int j=0 ; j< num_cols_per_row ; j++) { unsigned int index= stride * j + i; if (indices[index] < vec_size){ sum += static_cast(a[index]) * x[indices[index]] ; } } if (i < vec_size){ y[i] = sum ; } } } //---------------------------------------------------------------------------// // Allocate and upload a ELL sparse matrix on GPU memory // //---------------------------------------------------------------------------// template inline void CNCSparseMatrixELL::gpu_allocate_and_upload () { // allocate and upload non-zero matrix coefficients new_device_vector ( &gpu_mat_, a.size()+16 ) ; copy_host_to_device_vector( a, gpu_mat_ ) ; // allocate and upload indices new_device_vector ( &gpu_indices_, indices.size()+16 ) ; copy_host_to_device_vector ( indices , gpu_indices_ ) ; } //---------------------------------------------------------------------------// // Free graphics memory used to store a ELL sparse matrix // //---------------------------------------------------------------------------// template inline void CNCSparseMatrixELL::gpu_deallocate () { delete_device_vector ( &gpu_mat_ ) ; delete_device_vector ( &gpu_indices_ ) ; } //---------------------------------------------------------------------------// // GPU ELL Matrix / Vector Multiply // //---------------------------------------------------------------------------// template template inline void CNCSparseMatrixELL::gpu_mult ( const TypeVector * x, TypeVector * y, unsigned int vec_size) { #ifdef USE_TEXTURE // store the x vector in texture bind_x(x); #endif CNC_SIMPLE_ASSERT( (num_cols == num_rows ) && (num_cols == vec_size), "matrix not square or vec_size != num_cols!"); const unsigned int BLOCK_SIZE = 256; const dim3 grid = make_large_grid(num_rows, BLOCK_SIZE); CNCMatELL_Nathan_Bell <<>> ( num_rows, num_cols, num_cols_per_row, stride, gpu_mat_, gpu_indices_, x, y); #ifdef USE_TEXTURE // store the x vector in texture unbind_x(x); #endif } //---------------------------------------------------------------------------// // Conversion NLSparseMatrix to CNCSparseMatrixELL : definition // //---------------------------------------------------------------------------// template inline void convert_matrix( NLSparseMatrix * rhs, CNCSparseMatrixELL& A, const unsigned int alignment = 32 ) { CNC_SIMPLE_ASSERT ( rhs->n == rhs->m, "In CNC, matrices must be square!" ) ; A.num_cols = rhs->n ; A.num_rows = rhs->m ; unsigned int num_nonzeros = nlSparseMatrixNNZ(rhs) ; // seeking for the max number of nnz elements per row unsigned int max_nnz_per_rows = 0; for(unsigned int i=0; im; i++) { max_nnz_per_rows = std::max(max_nnz_per_rows,rhs->row[i].size); } // compute the stride A.stride = alignment * ((A.num_rows + alignment - 1)/ alignment); A.num_cols_per_row = max_nnz_per_rows; unsigned int common_size = A.stride * A.num_cols_per_row ; // allocate A.indices.allocate( common_size) ; A.a.allocate( common_size) ; A.diag.allocate( A.num_rows ) ; // filling with 0 std::fill( A.indices.data(), A.indices.data() + common_size, 0); std::fill( A.a.data(), A.a.data() + common_size, static_cast(0)); std::fill( A.diag.data(), A.diag.data() + A.num_rows , static_cast(0)); for(unsigned int i=0; im; i++) { NLRowColumn * R = &(rhs->row[i]) ; for(unsigned int jj=0; jjsize; jj++) { // index of (i,jj) in A unsigned int index = A.stride* jj + i; A.a[index] = static_cast(R->coeff[jj].value) ; A.indices[index] = R->coeff[jj].index ; // if diagonal element we store it in diag if (i == R->coeff[jj].index){ A.diag[i] = static_cast(R->coeff[jj].value); } } } std::cout << "average nnz per rows = " << num_nonzeros / rhs->n << std::endl << "max nnz per rows = " << max_nnz_per_rows << std::endl; } #endif octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/src/plugins/cnc/cnc_gpu_solver.h0000644001356000007640000002136213673436411027145 0ustar fangqadmin/* * Copyright (c) 2004-2010, Bruno Levy * All rights reserved. * * CNC: Concurrent Number Cruncher, original code by Luc Buatois * Copyright (C) 2008-2010 GOCAD/ASGA, INRIA/ALICE * * Sparse matrix-vector multiplication (SpMV) CUDA kernels based on code * by Nathan Bell and Michael Garland at NVIDIA. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * * Redistributions of source code must retain the above copyright notice, * this list of conditions and the following disclaimer. * * Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * Neither the name of the ALICE Project-Team nor the names of its * contributors may be used to endorse or promote products derived from this * software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * * If you modify this software, you should include a notice giving the * name of the person performing the modification, the date of modification, * and the reason for such modification. * * Contact: Bruno Levy * * levy@loria.fr * * ALICE Project * LORIA, INRIA Lorraine, * Campus Scientifique, BP 239 * 54506 VANDOEUVRE LES NANCY CEDEX * FRANCE * */ #ifndef CNC_GPU_SOLVER_H #define CNC_GPU_SOLVER_H #include #include #ifdef __cplusplus #include "cnc_utils.h" #include "cnc_cublas_utils.h" #include "cnc_sparse_matrix_ell.h" #include "cnc_sparse_matrix_coo.h" #include "cnc_sparse_matrix_crs.h" #include "cnc_sparse_matrix_bcrs.h" #include "cnc_sparse_matrix_hyb.h" #include "cnc_timer.h" #include #include //------------------------------------------------------------------------------// // Implementation of the Conjugate Gradient Solver on the GPU // // Matrix \in { CNCSparseMatrixCRS, CNCSparseMatrixCRS, // // CNCSparseMatrixBCRS, CNCSparseMatrixBCRS // // CNCSparseMatrixELL, CNCSparseMatrixELL // // CNCSparseMatrixCOO, CNCSparseMatrixCOO // // CNCSparseMatrixHYB, CNCSparseMatrixHYB // // TypeVector \in { float, double } // //------------------------------------------------------------------------------// template inline NLuint solve_cg_internal ( Matrix &A, CNCArray1d & b, CNCArray1d & x, const unsigned int nb_iter_max, const double epsilon) { CNCTimer time ; double full_time = time.GetTime() ; unsigned int N = x.size(); // init and check cublas cublasStatus st = cublasInit () ; CNCgetError ( st ) ; // vars to be defined specifically for each storage format (CRS/BCRS...) const typename Matrix::type_value * diag_matrix = A.diagonal() ; TypeVector *gpu_r = NULL ; TypeVector *gpu_d = NULL ; TypeVector *gpu_h = NULL ; TypeVector *gpu_Ad= NULL ; TypeVector *gpu_diag_inv = NULL ; TypeVector *gpu_b = NULL ; TypeVector *gpu_x = NULL ; // matrix allocation and upload A.gpu_allocate_and_upload() ; new_device_vector ( &gpu_r, N+16 ); new_device_vector ( &gpu_d, N+16 ); new_device_vector ( &gpu_h, N+16 ); new_device_vector ( &gpu_Ad, N+16 ); new_device_vector ( &gpu_diag_inv, N+16 ); new_device_vector ( &gpu_x, N+16 ); new_device_vector ( &gpu_b, N+16 ); // building the Jacobi preconditionner CNCArray1d cpu_diag_inv ( N+16 ) ; for(unsigned int i=0; i( (i >= N || diag_matrix[i] == 0.0) ? 1.0 : 1.0 / diag_matrix[i] ) ; } copy_host_to_device_vector ( cpu_diag_inv, gpu_diag_inv ); copy_host_to_device_vector ( x , gpu_x ); copy_host_to_device_vector ( b , gpu_b ); unsigned int its=0; TypeVector alpha, beta; printf ( "------------------------------------------------------------\n" ) ; printf ( "End init of CG solver\n" ) ; printf ( "------------------------------------------------------------\n" ) ; printf ( "Start of CG solver\n" ) ; printf ( "------------------------------------------------------------\n" ) ; // r = A*x A.gpu_mult ( gpu_x, gpu_r, N ) ; // r = b - A*x wrapXaxpy ( N, -1.0, gpu_b, 1, gpu_r, 1 ) ; wrapXscal ( N, -1.0, gpu_r, 1 ) ; const unsigned int BLOCK_SIZE = 256; const dim3 grid = make_large_grid(N, BLOCK_SIZE); // d = M^(-1) * r // Hadamard product between diagonal preconditioner and r CNCVecVecMultKernel<<>>( N, gpu_diag_inv, gpu_r, gpu_d ); // cur_err = rTypeVector*d err = epsilon^2 * rTypeVector*d TypeVector cur_err = wrapXdot ( N, gpu_r, 1, gpu_d, 1 ) ; // using same stopping criterion than NL_CG #define TRAD_ERROR #ifndef TRAD_ERROR TypeVector err = static_cast(cur_err * epsilon * epsilon) ; while ( cur_err > err && its < nb_iter_max) { if(!(its & 31)) { printf ( "%d : %.10e -- %.10e\n", its, cur_err, err ) ; } #else // cur_err = ||r||^2 and err= epsilon^2 ||b|| TypeVector trad_err = wrapXdot ( N, gpu_r, 1, gpu_r, 1 ) ; TypeVector b_square = wrapXdot ( N, gpu_b, 1, gpu_b, 1 ) ; TypeVector err = static_cast(b_square * epsilon * epsilon) ; while ( trad_err > err && its < nb_iter_max) { if(!(its & 31)) { printf ( "%d : %.10e -- %.10e\n", its, trad_err, err ) ; } #endif // Ad = A*d A.gpu_mult ( gpu_d, gpu_Ad, N) ; // alpha = cur_err / (dTypeVector*Ad) alpha = cur_err / wrapXdot ( N, gpu_d, 1, gpu_Ad, 1 ) ; // x = x + alpha * d wrapXaxpy ( N, alpha, gpu_d, 1, gpu_x, 1 ) ; // r = r - alpha * Ad wrapXaxpy ( N, -alpha, gpu_Ad, 1, gpu_r, 1 ) ; // h = M^(-1) * r // Hadamard product between diagonal preconditioner and r CNCVecVecMultKernel<<>>( N, gpu_diag_inv, gpu_r, gpu_h ); TypeVector old_err = cur_err ; // cur_err = rT * h cur_err = wrapXdot ( N, gpu_r, 1, gpu_h, 1 ) ; beta = cur_err / old_err ; // d = h + beta * d wrapXscal ( N, beta, gpu_d, 1 ) ; wrapXaxpy ( N, 1.0, gpu_h, 1, gpu_d, 1 ) ; ++its; // using same stopping criterion than NL_CG #ifdef TRAD_ERROR trad_err = wrapXdot (N, gpu_r, 1, gpu_r, 1 ) ; #endif } printf ( "------------------------------------------------------------\n" ) ; if ( its==nb_iter_max ) { printf ( "Maximum #itr reached: SOLVER DID NOT CONVERGE !!!\n" ) ; printf ( "------------------------------------------------------------\n" ) ; } double seconds = time.GetElapsedTime(full_time) ; double sec_per_iteration = seconds / its; double GFLOPs = (sec_per_iteration == 0) ? 0 : ((2.0 * (double) (A.data_size())+(double)(11*N))/sec_per_iteration)/1e9; printf("Nathan Bell GFLOPs %2.2f GFLOP/s Time : %g\n",GFLOPs, seconds); copy_device_to_host_vector( gpu_x, x ) ; // check test : value of ||Ax-b|| on CPU CNCArray1d Ax ( N ); A.mult( x, Ax); TypeVector accu = static_cast(0); for(unsigned int i = 0; i < N ; ++i){ accu += (Ax[i]-b[i])*(Ax[i]-b[i]); } printf("in CNC : ||Ax-b||/||b|| = %e\n",sqrt_gen(accu)/sqrt_gen(b_square)); delete_device_vector ( &gpu_r ) ; delete_device_vector ( &gpu_d ) ; delete_device_vector ( &gpu_h ) ; delete_device_vector ( &gpu_Ad ) ; delete_device_vector ( &gpu_diag_inv ) ; delete_device_vector ( &gpu_x ) ; delete_device_vector ( &gpu_b ) ; A.gpu_deallocate () ; st = cublasShutdown() ; CNCgetError ( st ) ; return its ; } extern "C" { #endif NLuint cnc_solve_cg (NLSparseMatrix *A, NLdouble *b, NLdouble *x, NLuint nb_iter_max, NLdouble epsilon, NLint solver_type ); #ifdef __cplusplus } #endif #endif //---------------------------------------------------------------------------// octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/src/plugins/cnc/cnc_cuda_blas.cu0000644001356000007640000003155313673436411027060 0ustar fangqadmin/* * Copyright (c) 2004-2010, Bruno Levy * All rights reserved. * * CNC: Concurrent Number Cruncher, original code by Luc Buatois * Copyright (C) 2008-2010 GOCAD/ASGA, INRIA/ALICE * * Sparse matrix-vector multiplication (SpMV) CUDA kernels based on code * by Nathan Bell and Michael Garland at NVIDIA. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * * Redistributions of source code must retain the above copyright notice, * this list of conditions and the following disclaimer. * * Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * Neither the name of the ALICE Project-Team nor the names of its * contributors may be used to endorse or promote products derived from this * software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * * If you modify this software, you should include a notice giving the * name of the person performing the modification, the date of modification, * and the reason for such modification. * * Contact: Bruno Levy * * levy@loria.fr * * ALICE Project * LORIA, INRIA Lorraine, * Campus Scientifique, BP 239 * 54506 VANDOEUVRE LES NANCY CEDEX * FRANCE * */ // Header files #include #include #include #include "cnc_kernels.h" #include "cnc_gpu_solver.h" #include "cnc_texture.h" // a convert fonctor to use with the transform algorithm // when copying from double vector to float vector and vice-versa template struct convert : std::unary_function { Result operator() (const Arg x) { return static_cast(x); } }; //---------------------------------------------------------------------------// // kernel for matrix-product vector with a BCRS matrix // //---------------------------------------------------------------------------// __global__ void CNCMat2x2VecMult4Kernel ( float4 * matrix, unsigned int size_matrix, uint2 * rowptr, unsigned int size_rowptr, unsigned int * colind, unsigned int size_colind, const float2 * x, float2 * b, unsigned int size_vec ) { // Thread index const unsigned int index = large_grid_thread_id(void) ; if ( index<<1 < size_vec ) { uint2 rowptr_bounds = rowptr[index] ; float2 res ; res.x = res.y = 0.0f ; unsigned int ci = 0 ; float2 x_vec ; float4 mat_vec ; // for each block of the block_row, mult for ( int i=rowptr_bounds.x; i matrix // //---------------------------------------------------------------------------// __global__ void CNCMat2x2VecMult4Kernel ( double2 * mat0, double2 *mat1 , unsigned int size_matrix, uint2 * rowptr, unsigned int size_rowptr, unsigned int * colind, unsigned int size_colind, const double2 * x, double2 * b, unsigned int size_vec ) { // Thread index const unsigned int index = large_grid_thread_id(void); if ( index<<1 < size_vec ) { uint2 rowptr_bounds = rowptr[index] ; double2 res ; res.x = res.y = 0.0; unsigned int ci = 0 ; double2 row0; double2 row1; double2 x_vec ; // for each block of the block_row, mult for ( int i=rowptr_bounds.x; in == A->m, "Non-square sparse matrix unsupported" ) ; CNC_ASSERT ( nlSolverIsCNC(solver_type), "Wrong solver type" ) ; CNC_ASSERT ( nb_iter_max>=1, "Wrong number if iterations" ) ; CNC_ASSERT ( epsilon>0.0, "Wrong convergence threshold" ) ; CNC_ASSERT ( CNCConfigureDevice (), "CUDA device could not be configured properly"); NLuint block_size = 1; switch(solver_type) { case NL_CNC_FLOAT_CRS: case NL_CNC_DOUBLE_CRS: case NL_CNC_FLOAT_ELL: case NL_CNC_DOUBLE_ELL: case NL_CNC_FLOAT_HYB: case NL_CNC_DOUBLE_HYB: { block_size = 1; } break ; case NL_CNC_FLOAT_BCRS2: case NL_CNC_DOUBLE_BCRS2: { block_size = 2; } break ; default: nl_assert_not_reached ; } printf ( "############################################################\n" ) ; printf ( "Start Init CG Solver: data conversion, allocation and upload\n" ) ; printf ( "------------------------------------------------------------\n" ) ; printf ( "max iter: %d\ntolerance: %e\nblock_size: %dx%d\n", nb_iter_max, epsilon, block_size, block_size ) ; printf ( "size vector: %d\n", A->n ) ; NLuint val_ret=static_cast(-1); switch(solver_type) { case NL_CNC_FLOAT_CRS: case NL_CNC_FLOAT_BCRS2: { printf("using SINGLE precision floating point.\n"); CNCArray1d array_x( A->n ); CNCArray1d array_b( A->n ); std::transform(x,x+A->n,array_x.data(),convert()); std::transform(b,b+A->n,array_b.data(),convert()); if ( block_size == 1 ) { CNCSparseMatrixCRS smcrs ; convert_matrix ( A, smcrs, false ) ; val_ret = solve_cg_internal, float> ( smcrs, array_b, array_x, nb_iter_max, epsilon ) ; } else if ( block_size == 2 ) { CNCSparseMatrixBCRS smbcrs2x2 ; convert_matrix ( A, smbcrs2x2 ) ; val_ret = solve_cg_internal ,float > ( smbcrs2x2, array_b, array_x, nb_iter_max, epsilon ) ; } else { printf ( "Wrong Block size\n" ) ; // you should never reach this point... } std::transform(array_x.data(),array_x.data()+A->n,x,convert()); std::transform(array_b.data(),array_b.data()+A->n,b,convert()); } break ; case NL_CNC_FLOAT_ELL:{ printf("using SINGLE precision floating point.\n"); CNCArray1d array_x( A->n ); CNCArray1d array_b( A->n ); std::transform(x,x+A->n,array_x.data(),convert()); std::transform(b,b+A->n,array_b.data(),convert()); CNCSparseMatrixELL smell ; convert_matrix ( A, smell) ; val_ret = solve_cg_internal, float> ( smell, array_b, array_x, nb_iter_max, epsilon ) ; std::transform(array_x.data(),array_x.data()+A->n,x,convert()); std::transform(array_b.data(),array_b.data()+A->n,b,convert()); } break ; case NL_CNC_FLOAT_HYB:{ printf("using SINGLE precision floating point.\n"); CNCArray1d array_x( A->n ); CNCArray1d array_b( A->n ); std::transform(x,x+A->n,array_x.data(),convert()); std::transform(b,b+A->n,array_b.data(),convert()); CNCSparseMatrixHYB smhyb ; convert_matrix ( A, smhyb) ; val_ret = solve_cg_internal, float> ( smhyb, array_b, array_x, nb_iter_max, epsilon ) ; std::transform(array_x.data(),array_x.data()+A->n,x,convert()); std::transform(array_b.data(),array_b.data()+A->n,b,convert()); } break ; case NL_CNC_DOUBLE_ELL: { CNC_ASSERT ( CNCCheckDeviceDoubleSupport() , "No support for double precision floating point on the CUDA device found" ) ; printf("Nice ! using DOUBLE precision floating point.\n"); CNCArray1d array_x( A->n ); CNCArray1d array_b( A->n ); std::copy(x,x+A->n,array_x.data()); std::copy(b,b+A->n,array_b.data()); CNCSparseMatrixELL smell ; convert_matrix ( A, smell) ; val_ret = solve_cg_internal, double> ( smell, array_b, array_x, nb_iter_max, epsilon ) ; std::copy(array_x.data(),array_x.data()+A->n,x); std::copy(array_b.data(),array_b.data()+A->n,b); } break ; case NL_CNC_DOUBLE_HYB: { CNC_ASSERT ( CNCCheckDeviceDoubleSupport() , "No support for double precision floating point on the CUDA device found" ) ; printf("Nice ! using DOUBLE precision floating point.\n"); CNCArray1d array_x( A->n ); CNCArray1d array_b( A->n ); std::copy(x,x+A->n,array_x.data()); std::copy(b,b+A->n,array_b.data()); CNCSparseMatrixHYB smhyb ; convert_matrix ( A, smhyb ) ; val_ret = solve_cg_internal, double> ( smhyb, array_b, array_x, nb_iter_max, epsilon ) ; std::copy(array_x.data(),array_x.data()+A->n,x); std::copy(array_b.data(),array_b.data()+A->n,b); } break ; case NL_CNC_DOUBLE_CRS: case NL_CNC_DOUBLE_BCRS2: { CNC_ASSERT ( CNCCheckDeviceDoubleSupport() , "No support for double precision floating point on the CUDA device found" ) ; printf("Nice ! using DOUBLE precision floating point.\n"); CNCArray1d array_x( A->n ); CNCArray1d array_b( A->n ); std::copy(x,x+A->n,array_x.data()); std::copy(b,b+A->n,array_b.data()); if ( block_size == 1 ) { CNCSparseMatrixCRS smcrs ; convert_matrix ( A, smcrs, false ) ; val_ret = solve_cg_internal, double> ( smcrs, array_b, array_x, nb_iter_max, epsilon ) ; } else if ( block_size == 2 ) { CNCSparseMatrixBCRS smbcrs2x2 ; convert_matrix ( A, smbcrs2x2 ) ; val_ret = solve_cg_internal ,double> ( smbcrs2x2, array_b, array_x, nb_iter_max, epsilon ) ; } else { printf ( "Wrong Block size\n" ) ; // you should never reach this point... } std::copy(array_x.data(),array_x.data()+A->n,x); std::copy(array_b.data(),array_b.data()+A->n,b); } break ; default: nl_assert_not_reached ; } return val_ret; } octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/src/plugins/cnc/cnc_kernels.h0000644001356000007640000004604713673436411026432 0ustar fangqadmin/* * Copyright (c) 2004-2010, Bruno Levy * All rights reserved. * * CNC: Concurrent Number Cruncher, original code by Luc Buatois * Copyright (C) 2008-2010 GOCAD/ASGA, INRIA/ALICE * * Sparse matrix-vector multiplication (SpMV) CUDA kernels based on code * by Nathan Bell and Michael Garland at NVIDIA. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * * Redistributions of source code must retain the above copyright notice, * this list of conditions and the following disclaimer. * * Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * Neither the name of the ALICE Project-Team nor the names of its * contributors may be used to endorse or promote products derived from this * software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * * If you modify this software, you should include a notice giving the * name of the person performing the modification, the date of modification, * and the reason for such modification. * * Contact: Bruno Levy * * levy@loria.fr * * ALICE Project * LORIA, INRIA Lorraine, * Campus Scientifique, BP 239 * 54506 VANDOEUVRE LES NANCY CEDEX * FRANCE * */ #ifndef CNC_KERNELS_H #define CNC_KERNELS_H #include #include #include "cnc_texture.h" #define THREAD_BLOCK_SIZE 16 #define CUDA_BLOCK_SIZE 256 #ifndef WARP_SIZE #define WARP_SIZE 32 #endif #ifndef MAX_THREADS #define MAX_THREADS (4*768) #endif //#define USE_SHARED_CRS //#define USE_TEXTURE #ifdef __DEVICE_EMULATION__ #define EMUSYNC __syncthreads() #else #define EMUSYNC #endif //#define small_grid_thread_id(void) ((blockDim.x * blockIdx.x + threadIdx.x)) //#define large_grid_thread_id(void) ((blockDim.x * (blockIdx.x + blockIdx.y*gridDim.x) + threadIdx.x)) #define small_grid_thread_id(void) ((__umul24(blockDim.x, blockIdx.x) + threadIdx.x)) #define large_grid_thread_id(void) ((__umul24(blockDim.x,blockIdx.x + __umul24(blockIdx.y,gridDim.x)) + threadIdx.x)) #define DIVIDE_INTO(x,y) ((x + y - 1)/y) //---------------------------------------------------------------------------// // to make a grid a block : taken from Nathan Bell spmv program // //---------------------------------------------------------------------------// dim3 make_large_grid(const unsigned int num_threads, const unsigned int blocksize){ const unsigned int num_blocks = DIVIDE_INTO(num_threads, blocksize); if (num_blocks <= 65535){ //fits in a 1D grid return dim3(num_blocks); } else { //2D grid is required const unsigned int side = (unsigned int) ceil(sqrt((double)num_blocks)); return dim3(side,side); } } //---------------------------------------------------------------------------// // kernel matrix-vector product for FLOAT BCRS2x2 matrix // //---------------------------------------------------------------------------// __global__ void CNCMat2x2VecMult4Kernel ( float4 * matrix, unsigned int size_matrix, uint2 * rowptr, unsigned int size_rowptr, unsigned int * colind, unsigned int size_colind, const float2 * x, float2 * b, unsigned int size_vec ); //---------------------------------------------------------------------------// // kernel matrix-vector product for DOUBLE BCRS2x2 matrix // //---------------------------------------------------------------------------// __global__ void CNCMat2x2VecMult4Kernel ( double2 * mat0, double2 *mat1 , unsigned int size_matrix, uint2 * rowptr, unsigned int size_rowptr, unsigned int * colind, unsigned int size_colind, const double2 * x, double2 * b, unsigned int size_vec ); //---------------------------------------------------------------------------// // template kernel for matrix-vector product with a CRS matrix // //---------------------------------------------------------------------------// template __global__ void CNCMat1x1VecMultKernel ( TypeMatrix * matrix, unsigned int size_matrix, uint2 * rowptr, unsigned int size_rowptr, unsigned int * colind, unsigned int size_colind, const TypeVector * x, TypeVector * b, unsigned int size_vec) { // Thread index const unsigned int index = large_grid_thread_id(void); if ( index < size_vec ) { uint2 rowptr_bounds = rowptr[index] ; TypeVector res = 0.; // for each block of the block_row, mult for ( unsigned int i=rowptr_bounds.x; i(matrix[i]) * x[colind[i]] ; #else res += static_cast(matrix[i]) * fetch_x(colind[i],x) ; #endif } b[index] = res ; } } //---------------------------------------------------------------------------// // template kernel vector for matrix-product vector with a CRS matrix // // taken from Nathan Bell spmv program // //---------------------------------------------------------------------------// template __global__ void CNCCRSNathan_Bell ( TypeMatrix * matrix, unsigned int size_matrix, uint2 * rowptr, unsigned int size_rowptr, unsigned int * colind, unsigned int size_colind, const TypeVector * x, TypeVector * b, unsigned int size_vec) { __shared__ TypeMatrix sdata[BLOCK_SIZE+16]; __shared__ uint2 ptrs[BLOCK_SIZE/WARP_SIZE]; const unsigned int thread_id = BLOCK_SIZE * blockIdx.x + threadIdx.x; // global thread index const unsigned int thread_lane = threadIdx.x & (WARP_SIZE-1); // thread index within the warp const unsigned int warp_id = thread_id / WARP_SIZE; // global warp index const unsigned int warp_lane = threadIdx.x / WARP_SIZE; // warp index within the CTA const unsigned int num_warps = (BLOCK_SIZE / WARP_SIZE) * gridDim.x; // total number of active warps for(unsigned int index = warp_id; index < size_vec; index += num_warps){ // use two threads to fetch Ap[index] and Ap[index+1] // this is considerably faster than the more straightforward option if (thread_lane < 2){ ptrs[warp_lane] = rowptr[index]; } const unsigned int row_start = ptrs[warp_lane].x; //same as: row_start = Ap[index]; const unsigned int row_end = ptrs[warp_lane].y; //same as: row_end = Ap[index+1]; // compute local sum TypeVector sum = 0; for(unsigned int jj = row_start + thread_lane; jj < row_end; jj += WARP_SIZE){ #ifndef USE_TEXTURE sum += static_cast(matrix[jj]) * x[colind[jj]]; #else sum += static_cast(matrix[jj]) * fetch_x(colind[jj],x); #endif } // reduce local sums to row sum (ASSUME: warpsize 32) sdata[threadIdx.x] = sum; sdata[threadIdx.x] = sum = sum + sdata[threadIdx.x + 16]; EMUSYNC; sdata[threadIdx.x] = sum = sum + sdata[threadIdx.x + 8]; EMUSYNC; sdata[threadIdx.x] = sum = sum + sdata[threadIdx.x + 4]; EMUSYNC; sdata[threadIdx.x] = sum = sum + sdata[threadIdx.x + 2]; EMUSYNC; sdata[threadIdx.x] = sum = sum + sdata[threadIdx.x + 1]; EMUSYNC; // first thread writes warp result if (thread_lane == 0){ b[index] = sdata[threadIdx.x]; } } } //---------------------------------------------------------------------------// // template kernel vector for matrix-product vector with a ELL matrix // // taken from Nathan Bell article // //---------------------------------------------------------------------------// template __global__ void CNCMatELL_Nathan_Bell ( const unsigned int num_rows, const unsigned int num_cols, const unsigned int num_cols_per_row, const unsigned int stride, TypeMatrix * matrix, unsigned int * indices, const TypeVector * x, TypeVector * y) { const unsigned int row = large_grid_thread_id(void); if (row < num_rows) { TypeVector accu = 0; for(unsigned int j = 0 ; j < num_cols_per_row ; ++j) { unsigned int index = indices[ stride * j + row ]; TypeVector val = matrix[ stride * j + row ]; if ( val != 0) { #ifndef USE_TEXTURE accu += static_cast(val) * x[index] ; #else accu += static_cast(val) * fetch_x(index, x); #endif } } y[row] = accu; } } //---------------------------------------------------------------------------// // segmented reduction in shared memory for COO kernel // // taken from Nathan Bell // //---------------------------------------------------------------------------// template __device__ VectorType segreduce_warp( const unsigned int thread_lane, unsigned int row, VectorType val, unsigned int * rows, VectorType * vals){ rows[threadIdx.x] = row; vals[threadIdx.x] = val; if( thread_lane >= 1 && row == rows[threadIdx.x - 1] ) { vals[threadIdx.x] = val = val + vals[threadIdx.x - 1]; } if( thread_lane >= 2 && row == rows[threadIdx.x - 2] ) { vals[threadIdx.x] = val = val + vals[threadIdx.x - 2]; } if( thread_lane >= 4 && row == rows[threadIdx.x - 4] ) { vals[threadIdx.x] = val = val + vals[threadIdx.x - 4]; } if( thread_lane >= 8 && row == rows[threadIdx.x - 8] ) { vals[threadIdx.x] = val = val + vals[threadIdx.x - 8]; } if( thread_lane >= 16 && row == rows[threadIdx.x - 16] ) { vals[threadIdx.x] = val = val + vals[threadIdx.x - 16]; } return val; } //---------------------------------------------------------------------------// // subroutine for the COO kernel // // taken from Nathan Bell // //---------------------------------------------------------------------------// template __device__ void segreduce_block(const unsigned int * idx, VectorType * val) { VectorType left = 0; if( threadIdx.x >= 1 && idx[threadIdx.x] == idx[threadIdx.x - 1] ) { left = val[threadIdx.x - 1]; } __syncthreads(); val[threadIdx.x] += left; left = 0; __syncthreads(); if( threadIdx.x >= 2 && idx[threadIdx.x] == idx[threadIdx.x - 2] ) { left = val[threadIdx.x - 2]; } __syncthreads(); val[threadIdx.x] += left; left = 0; __syncthreads(); if( threadIdx.x >= 4 && idx[threadIdx.x] == idx[threadIdx.x - 4] ) { left = val[threadIdx.x - 4]; } __syncthreads(); val[threadIdx.x] += left; left = 0; __syncthreads(); if( threadIdx.x >= 8 && idx[threadIdx.x] == idx[threadIdx.x - 8] ) { left = val[threadIdx.x - 8]; } __syncthreads(); val[threadIdx.x] += left; left = 0; __syncthreads(); if( threadIdx.x >= 16 && idx[threadIdx.x] == idx[threadIdx.x - 16] ) { left = val[threadIdx.x - 16]; } __syncthreads(); val[threadIdx.x] += left; left = 0; __syncthreads(); if( threadIdx.x >= 32 && idx[threadIdx.x] == idx[threadIdx.x - 32] ) { left = val[threadIdx.x - 32]; } __syncthreads(); val[threadIdx.x] += left; left = 0; __syncthreads(); if( threadIdx.x >= 64 && idx[threadIdx.x] == idx[threadIdx.x - 64] ) { left = val[threadIdx.x - 64]; } __syncthreads(); val[threadIdx.x] += left; left = 0; __syncthreads(); if( threadIdx.x >= 128 && idx[threadIdx.x] == idx[threadIdx.x - 128] ) { left = val[threadIdx.x - 128]; } __syncthreads(); val[threadIdx.x] += left; left = 0; __syncthreads(); if( threadIdx.x >= 256 && idx[threadIdx.x] == idx[threadIdx.x - 256] ) { left = val[threadIdx.x - 256]; } __syncthreads(); val[threadIdx.x] += left; left = 0; __syncthreads(); } //---------------------------------------------------------------------------// // template kernel vector for matrix-product vector with a COO matrix // // taken from Nathan Bell spmv // //---------------------------------------------------------------------------// template __global__ void spmv_coo_flat_kernel( const unsigned int num_nonzeros, const unsigned int interval_size, const unsigned int * I, const unsigned int * J, const TypeMatrix * V, const TypeVector * x, TypeVector * y, unsigned int * temp_rows, TypeVector * temp_vals){ __shared__ unsigned int rows[BLOCK_SIZE]; __shared__ TypeVector vals[BLOCK_SIZE]; const unsigned int thread_id = BLOCK_SIZE * blockIdx.x + threadIdx.x; // global thread index const unsigned int thread_lane = threadIdx.x & (WARP_SIZE-1); // thread index within the warp const unsigned int warp_id = thread_id / WARP_SIZE; // global warp index const unsigned int interval_begin = warp_id * interval_size; // warp's offset into I,J,V const unsigned int interval_end = min(interval_begin + interval_size, num_nonzeros); // end of warps's work if(interval_begin >= interval_end){ // warp has no work to do return; } if (thread_lane == 31){ // initialize the carry in values rows[threadIdx.x] = I[interval_begin]; vals[threadIdx.x] = 0; } for(unsigned int n = interval_begin + thread_lane; n < interval_end; n += WARP_SIZE){ unsigned int row = I[n]; // row index (i) #ifndef USE_TEXTURE TypeVector val = static_cast(V[n]) * x[J[n]]; // A(i,j) * x(j) #else TypeVector val = static_cast(V[n]) * fetch_x(J[n], x); // A(i,j) * x(j) #endif if (thread_lane == 0){ if(row == rows[threadIdx.x + 31]){ val += vals[threadIdx.x + 31]; // row continues } else { y[rows[threadIdx.x + 31]] += vals[threadIdx.x + 31]; // row terminated } } val = segreduce_warp(thread_lane, row, val, rows, vals); // segmented reduction in shared memory if(thread_lane < 31 && row != rows[threadIdx.x + 1]){ y[row] += val; // row terminated } } if(thread_lane == 31){ // write the carry out values temp_rows[warp_id] = rows[threadIdx.x]; temp_vals[warp_id] = vals[threadIdx.x]; } } // The second level of the segmented reduction operation template __global__ void spmv_coo_reduce_update_kernel( const unsigned int num_warps, const unsigned int * temp_rows, const TypeVector * temp_vals, TypeVector * y){ __shared__ unsigned int rows[BLOCK_SIZE + 1]; __shared__ TypeVector vals[BLOCK_SIZE + 1]; const unsigned int end = num_warps - (num_warps & (BLOCK_SIZE - 1)); if (threadIdx.x == 0){ rows[BLOCK_SIZE] = (unsigned int) -1; vals[BLOCK_SIZE] = (TypeVector) 0; } __syncthreads(); unsigned int i = threadIdx.x; while (i < end){ // do full blocks rows[threadIdx.x] = temp_rows[i]; vals[threadIdx.x] = temp_vals[i]; __syncthreads(); segreduce_block(rows, vals); if (rows[threadIdx.x] != rows[threadIdx.x + 1]){ y[rows[threadIdx.x]] += vals[threadIdx.x]; } __syncthreads(); i += BLOCK_SIZE; } if (end < num_warps){ if (i < num_warps){ rows[threadIdx.x] = temp_rows[i]; vals[threadIdx.x] = temp_vals[i]; } else { rows[threadIdx.x] = (unsigned int) -1; vals[threadIdx.x] = (TypeVector) 0; } __syncthreads(); segreduce_block(rows, vals); if (i < num_warps){ if (rows[threadIdx.x] != rows[threadIdx.x + 1]){ y[rows[threadIdx.x]] += vals[threadIdx.x]; } } } } template __global__ void spmv_coo_serial_kernel ( const unsigned int num_nonzeros, const unsigned int * I, const unsigned int * J, const TypeMatrix * V, const TypeVector * x, TypeVector * y){ for(unsigned int n = 0; n < num_nonzeros; n++){ y[I[n]] += static_cast(V[n]) * x[J[n]]; } } //---------------------------------------------------------------------------// // template kernel for Hadamard product // //---------------------------------------------------------------------------// template __global__ void CNCVecVecMultKernel ( unsigned int size, const TypeVector * x, const TypeVector * y, TypeVector * r ) { // Thread index const unsigned int index = large_grid_thread_id(void) ; if ( index < size ){ r[index] = x[index]*y[index] ; } } //---------------------------------------------------------------------------// // template kernel for for memory device filling with a constant value // //---------------------------------------------------------------------------// template __global__ void CNCfill ( TypeVector * dest, unsigned int vec_size, const TypeVector val ) { // Thread index const unsigned int index = large_grid_thread_id(void); // global thread index if ( index < vec_size ){ dest[index] = val; } } #endif octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/src/plugins/cnc/cnc_sparse_matrix_bcrs.h0000644001356000007640000004056013673436411030653 0ustar fangqadmin/* * Copyright (c) 2004-2010, Bruno Levy * All rights reserved. * * CNC: Concurrent Number Cruncher, original code by Luc Buatois * Copyright (C) 2008-2010 GOCAD/ASGA, INRIA/ALICE * * Sparse matrix-vector multiplication (SpMV) CUDA kernels based on code * by Nathan Bell and Michael Garland at NVIDIA. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * * Redistributions of source code must retain the above copyright notice, * this list of conditions and the following disclaimer. * * Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * Neither the name of the ALICE Project-Team nor the names of its * contributors may be used to endorse or promote products derived from this * software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * * If you modify this software, you should include a notice giving the * name of the person performing the modification, the date of modification, * and the reason for such modification. * * Contact: Bruno Levy * * levy@loria.fr * * ALICE Project * LORIA, INRIA Lorraine, * Campus Scientifique, BP 239 * 54506 VANDOEUVRE LES NANCY CEDEX * FRANCE * */ #ifndef CNC_SPARSE_MATRIX_BCRS_H #define CNC_SPARSE_MATRIX_BCRS_H #include "cnc_utils.h" #include "cnc_cublas_utils.h" #include "cnc_arrays.h" #include "cnc_kernels.h" #include "cnc_texture.h" #include #include // -------------------------------------------------------------------------- // // BCRS Sparse matrix data structure with CPU and GPU storage // // -------------------------------------------------------------------------- // template class CNCGenericSparseMatrixBCRS { public: typedef CNCArray1d IndexArray ; typedef CNCArray1d CoeffArray ; enum { BM=BLOCM } ; enum { BN=BLOCN } ; enum { BLOC_SIZE=BM*BN } ; inline CNCGenericSparseMatrixBCRS() : N_(0) { } inline float filling_ratio() const ; /** number of bloc rows */ unsigned int M() const { return rowptr.size() - 1 ; } /** number of bloc columns */ unsigned int N() const { return N_ ; } /** number of rows */ unsigned int m() const { return M() * BM ; } /** number of columns */ unsigned int n() const { return N() * BN ; } unsigned int number_of_blocs_in_row(unsigned int i) { return rowptr[i+1] - rowptr[i] ; } unsigned int max_number_of_blocs_in_row() { unsigned int result = 0 ; for(unsigned int i=0; inumber_of_blocs_in_row(i))?(result):(number_of_blocs_in_row(i)) ; } return result ; } template void mult(const TypeVector* x, TypeVector* y, const unsigned int vec_size) const ; template inline void mult(const CNCArray1d& x, CNCArray1d& y) const { mult( x.data(), y.data(), x.size()) ; } inline unsigned int data_size() const { return a.size() ; } inline TypeMatrix * diagonal() { return diag.data() ; } inline const TypeMatrix * diagonal() const { return diag.data() ; } inline void print() const { for(unsigned int I=0; I class CNCSparseMatrixBCRS : public CNCGenericSparseMatrixBCRS { public: typedef TypeMatrix type_value; typedef CNCGenericSparseMatrixBCRS superclass ; typedef CNCArray1d IndexArray ; CNCSparseMatrixBCRS() : gpu_redundant_rp_(NULL), gpu_ci_(NULL), gpu_mat_(NULL), gpu_mat0_(NULL), gpu_mat1_(NULL), gpu_mat2_(NULL), gpu_mat3_(NULL) { } inline void gpu_allocate_and_upload () ; inline void gpu_deallocate () ; template inline void gpu_mult ( const TypeVector * x, TypeVector * y, unsigned int vec_size) ; // GPU data uint2 * gpu_redundant_rp_ ; unsigned int * gpu_ci_ ; TypeMatrix * gpu_mat_ ; TypeMatrix * gpu_mat0_; TypeMatrix * gpu_mat1_; TypeMatrix * gpu_mat2_; TypeMatrix * gpu_mat3_; } ; //---------------------------------------------------------------------------// // Matrix-Vector product on CPU fror Generic BCRS Sparse Matrix // //---------------------------------------------------------------------------// template template void CNCGenericSparseMatrixBCRS::mult( const TypeVector* x, TypeVector* y, const unsigned int vec_size) const { unsigned int y_base = 0 ; for(unsigned int I=0; I(a[a_base+ofs]) * x[x_base+dj] ; } ofs++ ; } } } for(unsigned int i=0; i inline void CNCSparseMatrixBCRS::gpu_allocate_and_upload () { unsigned int size_matrix = a.size () ; // allocate and upload non-zero matrix coefficients new_device_vector ( &gpu_mat_, size_matrix +16 ) ; copy_host_to_device_vector ( a , gpu_mat_ ) ; // allocate and upload rowptr and colind new_device_vector ( &gpu_ci_, colind.size()+16) ; new_device_vector ( &gpu_redundant_rp_, (rowptr.size()-1)+16 ) ; uint2 * cpu_redundant_rp ; new_host_vector( &cpu_redundant_rp, rowptr.size()-1 + 16) ; for (unsigned int i=0; i inline void CNCSparseMatrixBCRS::gpu_allocate_and_upload () { unsigned int size_matrix = a.size () ; // allocate and upload non-zero matrix coefficients new_device_vector ( &gpu_mat0_, size_matrix/2+16 ) ; new_device_vector ( &gpu_mat1_, size_matrix/2+16 ) ; double * m0 ; double * m1 ; new_host_vector( &m0, size_matrix/2 + 16 ); new_host_vector( &m1, size_matrix/2 + 16 ); // reorder sparse matrix blocs(double) to fit into two arrays (double2) for(unsigned int i=0; i<(unsigned int)(size_matrix/4); i++) { m0[i*2 ] = a.data()[i*4 ] ; m0[i*2+1] = a.data()[i*4+ 1] ; m1[i*2 ] = a.data()[i*4+ 2] ; m1[i*2+1] = a.data()[i*4+ 3] ; } copy_host_to_device_vector ( m0, gpu_mat0_, size_matrix/2+16 ) ; copy_host_to_device_vector ( m1, gpu_mat1_, size_matrix/2+16 ) ; delete_host_vector( &m0 ); delete_host_vector( &m1 ); // allocate and upload rowptr on GPU new_device_vector ( &gpu_redundant_rp_, (rowptr.size()-1)+16 ) ; new_device_vector ( &gpu_ci_ , colind.size()+16 ) ; // beware : rowptr is unsigned int but gpu_redundant will be uint2 // the point is the following : (rowptr[i],rowptr[i+1]) are the bounds for the j-index in spVM product // to facilitate the product on GPU we duplicate rowptr[i+1] on CPU // in gpu_redundant_rp[i].y and gpu_redundant_rp[i+1].x uint2 * cpu_redundant_rp ; new_host_vector( &cpu_redundant_rp, rowptr.size()-1 + 16) ; for (unsigned int i=0; i inline void CNCSparseMatrixBCRS::gpu_deallocate () { delete_device_vector ( &gpu_ci_ ) ; delete_device_vector ( &gpu_redundant_rp_ ) ; delete_device_vector ( &gpu_mat_ ) ; } //---------------------------------------------------------------------------// // Free the gpu memory used to store a BCRS double 2x2 matrix // //---------------------------------------------------------------------------// template <> inline void CNCSparseMatrixBCRS::gpu_deallocate () { delete_device_vector ( &gpu_ci_ ) ; delete_device_vector ( &gpu_redundant_rp_ ) ; delete_device_vector ( &gpu_mat0_ ) ; delete_device_vector ( &gpu_mat1_ ) ; } //---------------------------------------------------------------------------// // GPU BCRS float 2x2 Matrix / Vector Multiply on GPU // //---------------------------------------------------------------------------// template <> template inline void CNCSparseMatrixBCRS::gpu_mult ( const TypeVector * x, TypeVector * y, unsigned int vec_size) { #ifdef USE_TEXTURE // store the x vector in texture bind_x((const float2*)x); #endif const unsigned int BLOCK_SIZE = 256; const dim3 grid = make_large_grid(vec_size, BLOCK_SIZE); CNCMat2x2VecMult4Kernel<<>>( (float4 *)(gpu_mat_), a.size(), gpu_redundant_rp_, rowptr.size(), gpu_ci_, colind.size(), (const float2 *)(x), (float2 *)(y), vec_size ) ; #ifdef USE_TEXTURE // store the x vector in texture unbind_x((const float2*)x); #endif } //---------------------------------------------------------------------------// // GPU BCRS double 2x2 Matrix / Vector Multiply on GPU // //---------------------------------------------------------------------------// template <> template inline void CNCSparseMatrixBCRS::gpu_mult ( const TypeVector * x, TypeVector * y, unsigned int vec_size) { #ifdef USE_TEXTURE // store the x vector in texture bind_x((const double2*)x); #endif const unsigned int BLOCK_SIZE = 256 ; const dim3 grid = make_large_grid(vec_size, BLOCK_SIZE); CNCMat2x2VecMult4Kernel<<>>( (double2 *)gpu_mat0_, (double2 *)gpu_mat1_ , a.size(), gpu_redundant_rp_, rowptr.size(), gpu_ci_, colind.size(), (const double2 *)x, (double2 *)y, vec_size ) ; #ifdef USE_TEXTURE // store the x vector in texture unbind_x((const double2*)x); #endif } //---------------------------------------------------------------------------// // Conversion from NLSparseMatrix to CNCSparseMatrixBCRS : definition // //---------------------------------------------------------------------------// template inline void convert_matrix( NLSparseMatrix * rhs, CNCSparseMatrixBCRS& A ) { unsigned int BLOC_SIZE = CNCSparseMatrixBCRS::BLOC_SIZE ; // Compute number of bloc rows and bloc columns unsigned int M = rhs->m / BM ; if((rhs->m % BM) != 0) { M++ ; } unsigned int N = rhs->n / BN ; if((rhs->n % BN) != 0) { N++ ; } A.N_ = N ; // Step 1: determine blocs to use CNCArray1d< std::set > row_blocs(M) ; for(unsigned int i=0; im; i++) { unsigned int I = i / BM ; const NLRowColumn * Ri = &(rhs->row[i]) ; for(unsigned int jj=0 ; jj < Ri->size ; jj++) { unsigned int j = Ri->coeff[jj].index ; unsigned int J = j / BN ; row_blocs[I].insert(J) ; } } // Step 2: initialize rowptr A.rowptr.allocate(M+1) ; A.rowptr[0] = 0 ; for(unsigned int I=0; I::iterator it = row_blocs[I].begin(); it != row_blocs[I].end(); it++) { A.colind[cur++] = (*it) ; } } // Step 4: initialize a A.a.allocate(NNZ * BLOC_SIZE) ; A.a.set_all(0.0) ; for(unsigned int i=0; im; i++) { unsigned int I = i / BM ; unsigned int di = i % BM ; const NLRowColumn * Ri = &(rhs->row[i]) ; for(unsigned int jj=0; jj < Ri->size; jj++) { unsigned int j = Ri->coeff[jj].index ; unsigned int J = j / BN ; unsigned int dj = j % BN ; for(unsigned int K=A.rowptr[I]; K(Ri->coeff[jj].value) ; break ; } } } } // Step 5: initialize diag A.diag.allocate(rhs->diag_size) ; for(unsigned int i=0; i (rhs->diag[i]) ; } } #endif octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/src/plugins/cnc/cnc_sparse_matrix_coo.h0000644001356000007640000002507313673436411030504 0ustar fangqadmin/* * Copyright (c) 2004-2010, Bruno Levy * All rights reserved. * * CNC: Concurrent Number Cruncher, original code by Luc Buatois * Copyright (C) 2008-2010 GOCAD/ASGA, INRIA/ALICE * * Sparse matrix-vector multiplication (SpMV) CUDA kernels based on code * by Nathan Bell and Michael Garland at NVIDIA. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * * Redistributions of source code must retain the above copyright notice, * this list of conditions and the following disclaimer. * * Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * Neither the name of the ALICE Project-Team nor the names of its * contributors may be used to endorse or promote products derived from this * software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * * If you modify this software, you should include a notice giving the * name of the person performing the modification, the date of modification, * and the reason for such modification. * * Contact: Bruno Levy * * levy@loria.fr * * ALICE Project * LORIA, INRIA Lorraine, * Campus Scientifique, BP 239 * 54506 VANDOEUVRE LES NANCY CEDEX * FRANCE * */ #ifndef CNC_SPARSE_MATRIX_COO_H #define CNC_SPARSE_MATRIX_COO_H #include "cnc_utils.h" #include "cnc_cublas_utils.h" #include "cnc_arrays.h" #include "cnc_kernels.h" #include "cnc_texture.h" #include "cnc_sparse_matrix_crs.h" #include #include #include #include extern "C" { #include } class CNCSparseMatrixPatternCOO { public: typedef unsigned int index_type; typedef CNCArray1d IndexArray ; CNCSparseMatrixPatternCOO() { num_rows = 0 ; num_cols = 0 ; num_nonzeros = 0 ; } void clear() { num_rows = 0 ; num_cols = 0 ; num_nonzeros = 0 ; I.clear() ; J.clear() ; } // number of rows unsigned int m() const { return num_rows ; } /** number of columns */ unsigned int n() const { return num_cols ; } /** number of non-zero coefficients */ unsigned int nnz() const { return num_nonzeros ; } public: index_type num_rows; index_type num_cols; index_type num_nonzeros; IndexArray I; IndexArray J; }; template class CNCSparseMatrixCOO : public CNCSparseMatrixPatternCOO { public: typedef TypeMatrix type_value; typedef CNCArray1d CoeffArray ; inline CNCSparseMatrixCOO() { } template inline void mult(const TypeVector* x, TypeVector* y, const unsigned int vec_size) const ; template inline void mult(const CNCArray1d& x, CNCArray1d& y) const { mult(x.data(), y.data(), x.size()) ; } inline unsigned int data_size() const { return V.size() ; } inline TypeMatrix * diagonal() { return diag.data(); } inline const TypeMatrix * diagonal() const { return diag.data(); } inline void gpu_allocate_and_upload () ; inline void gpu_deallocate () ; template inline void gpu_mult ( const TypeVector * x, TypeVector* y, unsigned int vec_size) ; inline void print (); // arrays to store data and diag CoeffArray V ; CoeffArray diag ; // GPU data unsigned int * gpu_I_ ; unsigned int * gpu_J_ ; TypeMatrix * gpu_V_ ; }; //---------------------------------------------------------------------------// // printf function for COO sparse matrix // //---------------------------------------------------------------------------// template inline void CNCSparseMatrixCOO::print () { for(unsigned int i=0; i< nnz() ; i++){ printf ( "%d %d %f\n", I[i], J[i], V[i] ) ; } } //---------------------------------------------------------------------------// // Matrix-Vector product for COO sparse matrix on CPU // //---------------------------------------------------------------------------// template template inline void CNCSparseMatrixCOO::mult( const TypeVector* x, TypeVector* y, const unsigned int vec_size) const { std::fill(y,y + vec_size, static_cast(0)); for(unsigned int i=0; i< num_nonzeros ; i++) { if (I[i] < vec_size){ y[I[i]] += static_cast(V[i]) * x[J[i]] ; } } } //---------------------------------------------------------------------------// // Allocate and upload a COO sparse matrix on GPU memory // //---------------------------------------------------------------------------// template inline void CNCSparseMatrixCOO::gpu_allocate_and_upload () { // allocate the I,J,V triplet new_device_vector ( &gpu_V_, V.size()+16 ) ; new_device_vector ( &gpu_I_, I.size()+16 ) ; new_device_vector ( &gpu_J_, J.size()+16 ) ; // and upload! copy_host_to_device_vector ( V , gpu_V_ ) ; copy_host_to_device_vector ( I , gpu_I_ ) ; copy_host_to_device_vector ( J , gpu_J_ ) ; } //---------------------------------------------------------------------------// // Free graphics memory used to store a COO sparse matrix // //---------------------------------------------------------------------------// template inline void CNCSparseMatrixCOO::gpu_deallocate () { delete_device_vector ( &gpu_V_ ) ; delete_device_vector ( &gpu_I_ ) ; delete_device_vector ( &gpu_J_ ) ; } //---------------------------------------------------------------------------// // GPU COO Matrix / Vector Multiply : Taken Directly From Nathan Bell spmv // //---------------------------------------------------------------------------// template template inline void CNCSparseMatrixCOO::gpu_mult ( const TypeVector * x, TypeVector * y, unsigned int vec_size) { // fill y with zeroes const unsigned int TMP_BLOCK_SIZE = 256; const dim3 grid = make_large_grid(vec_size, TMP_BLOCK_SIZE); CNCfill <<>>(y,vec_size,static_cast(0)); if(num_nonzeros == 0){ // empty matrix return; } else if (num_nonzeros < WARP_SIZE){ // small matrix spmv_coo_serial_kernel <<<1,1>>> ( num_nonzeros, gpu_I_, gpu_J_, gpu_V_, x, y); return; } const unsigned int BLOCK_SIZE = 256; const unsigned int MAX_BLOCKS = MAX_THREADS / (2 * BLOCK_SIZE); const unsigned int WARPS_PER_BLOCK = BLOCK_SIZE / WARP_SIZE; const unsigned int num_units = num_nonzeros / WARP_SIZE; const unsigned int num_warps = std::min( num_units, WARPS_PER_BLOCK * MAX_BLOCKS); const unsigned int num_blocks = DIVIDE_INTO(num_warps, WARPS_PER_BLOCK); const unsigned int num_iters = DIVIDE_INTO(num_units, num_warps); const unsigned int interval_size = WARP_SIZE * num_iters; // do the last few nonzeros separately (fewer than WARP_SIZE elements) const unsigned int tail = num_units * WARP_SIZE; const unsigned int active_warps = (interval_size == 0) ? 0 : DIVIDE_INTO(tail, interval_size); #ifdef USE_TEXTURE bind_x(x); #endif unsigned int * temp_rows ; TypeVector * temp_vals ; new_device_vector( &temp_rows, active_warps ); new_device_vector( &temp_vals, active_warps ); spmv_coo_flat_kernel <<>> ( tail, interval_size, gpu_I_, gpu_J_, gpu_V_, x, y, temp_rows, temp_vals); spmv_coo_serial_kernel <<<1,1>>> ( num_nonzeros - tail, gpu_I_ + tail, gpu_J_ + tail, gpu_V_ + tail, x, y); spmv_coo_reduce_update_kernel <<<1, 512>>> ( active_warps, temp_rows, temp_vals, y); delete_device_vector ( &temp_rows ); delete_device_vector ( &temp_vals ); #ifdef USE_TEXTURE unbind_x(x); #endif } //------------------------------------------------------------------------------// // Conversion CNCSparseCRSMatrix to CNCSparseMatrixCOO / //------------------------------------------------------------------------------// template inline void convert_matrix( CNCSparseMatrixCRS &rhs, CNCSparseMatrixCOO & A ) { CNC_SIMPLE_ASSERT ( rhs.n() == rhs.m(), "In CNC, matrices must be square!" ) ; A.num_nonzeros = rhs.a.size(); A.num_cols = rhs.n() ; A.num_rows = rhs.m() ; // allocation of the triplet I,J,V and diagonal A.I.allocate( A.num_nonzeros) ; A.J.allocate( A.num_nonzeros) ; A.V.allocate( A.num_nonzeros) ; A.diag.allocate( A.num_rows ) ; // copying data from CRS format to COO format std::copy( rhs.a.data(), rhs.a.data() + A.num_nonzeros, A.V.data() ); std::copy( rhs.colind.data(), rhs.colind.data() + A.num_nonzeros, A.J.data() ); std::copy( rhs.diag.data(), rhs.diag.data() + rhs.m(), A.diag.data() ); unsigned int *begin = A.I.data(); unsigned int *end; for(unsigned int i=0; i< rhs.m() ; i++) { end = begin+ rhs.rowptr[i+1]-rhs.rowptr[i]; // we "decompress" the crs format in the coo format! std::fill( begin, end , i); begin = end; } } #endif octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/src/plugins/cnc/cnc_sparse_matrix_hyb.h0000644001356000007640000003041113673436411030476 0ustar fangqadmin/* * Copyright (c) 2004-2010, Bruno Levy * All rights reserved. * * CNC: Concurrent Number Cruncher, original code by Luc Buatois * Copyright (C) 2008-2010 GOCAD/ASGA, INRIA/ALICE * * Sparse matrix-vector multiplication (SpMV) CUDA kernels based on code * by Nathan Bell and Michael Garland at NVIDIA. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * * Redistributions of source code must retain the above copyright notice, * this list of conditions and the following disclaimer. * * Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * Neither the name of the ALICE Project-Team nor the names of its * contributors may be used to endorse or promote products derived from this * software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * * If you modify this software, you should include a notice giving the * name of the person performing the modification, the date of modification, * and the reason for such modification. * * Contact: Bruno Levy * * levy@loria.fr * * ALICE Project * LORIA, INRIA Lorraine, * Campus Scientifique, BP 239 * 54506 VANDOEUVRE LES NANCY CEDEX * FRANCE * */ #ifndef CNC_SPARSE_MATRIX_HYB_H #define CNC_SPARSE_MATRIX_HYB_H #include "cnc_utils.h" #include "cnc_cublas_utils.h" #include "cnc_arrays.h" #include "cnc_kernels.h" #include "cnc_texture.h" #include "cnc_sparse_matrix_ell.h" #include "cnc_sparse_matrix_coo.h" #include #include #include #include extern "C" { #include } class CNCSparseMatrixPatternHYB { public: typedef unsigned int index_type; typedef CNCArray1d IndexArray ; CNCSparseMatrixPatternHYB() { num_rows = 0 ; num_cols = 0 ; num_nonzeros = 0 ; } void clear() { num_rows = 0 ; num_cols = 0 ; num_nonzeros = 0 ; } // number of rows unsigned int m() const { return num_rows ; } /** number of columns */ unsigned int n() const { return num_cols ; } /** number of non-zero coefficients */ unsigned int nnz() const { return num_nonzeros ; } public: index_type num_rows; index_type num_cols; index_type num_nonzeros; }; template class CNCSparseMatrixHYB : public CNCSparseMatrixPatternHYB { public: typedef TypeMatrix type_value; typedef CNCArray1d CoeffArray ; inline CNCSparseMatrixHYB() { } template inline void mult(const TypeVector* x, TypeVector* y, const unsigned int vec_size) const ; template inline void mult(const CNCArray1d& x, CNCArray1d& y) const { mult(x.data(), y.data(), x.size()) ; } inline unsigned int data_size() const { return ell.a.size() + coo.V.size() ; } inline TypeMatrix * diagonal() { return ell.diag.data() ; } inline const TypeMatrix * diagonal() const { return ell.diag.data() ; } inline void gpu_allocate_and_upload () ; inline void gpu_deallocate () ; template inline void gpu_mult ( const TypeVector * x, TypeVector* y, unsigned int vec_size) ; //inline void print(std::ostream& out) ; inline void print (); CNCSparseMatrixELL ell; CNCSparseMatrixCOO coo; } ; //---------------------------------------------------------------------------// // printf function for HYB sparse matrix // //---------------------------------------------------------------------------// template inline void CNCSparseMatrixHYB::print () { std::cout << "ELL Part " << std::endl; ell.print(); std::cout << "COO Part " << std::endl; coo.print(); } //---------------------------------------------------------------------------// // Matrix-Vector product for HYB sparse matrix on CPU // //---------------------------------------------------------------------------// template template inline void CNCSparseMatrixHYB::mult( const TypeVector* x, TypeVector* y, const unsigned int vec_size) const { ell.mult( x, y, vec_size ); TypeVector * tmp ; new_host_vector( &tmp, vec_size ); coo.mult( x, tmp, vec_size ); std::transform(y , y + vec_size, tmp , y , std::plus()); delete_host_vector( &tmp ); } //---------------------------------------------------------------------------// // Allocate and upload a HYB sparse matrix on GPU memory // //---------------------------------------------------------------------------// template inline void CNCSparseMatrixHYB::gpu_allocate_and_upload () { ell.gpu_allocate_and_upload(); coo.gpu_allocate_and_upload(); } //---------------------------------------------------------------------------// // Free graphics memory used to store a HYB sparse matrix // //---------------------------------------------------------------------------// template inline void CNCSparseMatrixHYB::gpu_deallocate () { ell.gpu_deallocate(); coo.gpu_deallocate(); } //---------------------------------------------------------------------------// // GPU HYB Matrix / Vector Multiply // //---------------------------------------------------------------------------// template template inline void CNCSparseMatrixHYB::gpu_mult ( const TypeVector * x, TypeVector * y, unsigned int vec_size) { ell.gpu_mult( x, y, vec_size ); // slow, should be done only once in gpu_allocate_and_upload // but TypeVector is not a template parameter of the class TypeVector * coo_res; new_device_vector( &coo_res, vec_size); coo.gpu_mult( x, coo_res, vec_size ); wrapXaxpy( vec_size , 1. , coo_res , 1 , y , 1 ); delete_device_vector( &coo_res ); } //---------------------------------------------------------------------------// // Heuristic to choose the number of columns per row for the ELL part // // Taken From Nathan Bell programs // //---------------------------------------------------------------------------// unsigned int compute_hyb_cols_per_row(const NLSparseMatrix *rhs, float relative_speed = 3.0, unsigned int breakeven_threshold = 4096){ // compute maximum row length unsigned int max_cols_per_row = 0; for(unsigned int i = 0; i < rhs->m; i++){ max_cols_per_row = std::max(max_cols_per_row, rhs->row[i].size ); } // compute distribution of nnz per row unsigned int * histogram ; new_host_vector( &histogram, max_cols_per_row + 1); std::fill(histogram, histogram + max_cols_per_row + 1, 0); for(unsigned int i = 0; i < rhs->m; i++){ histogram[rhs->row[i].size]++; } // compute optimal ELL col unsigned int num_cols_per_row = max_cols_per_row; for(unsigned int i = 0, rows = rhs->m; i < max_cols_per_row; i++){ rows -= histogram[i]; //number of rows of length > i if(relative_speed * rows < rhs->m || rows < breakeven_threshold){ num_cols_per_row = i; break; } } delete_host_vector( &histogram ); return num_cols_per_row; } //---------------------------------------------------------------------------// // Conversion NLSparseMatrix to CNCSparseMatrixHYB // //---------------------------------------------------------------------------// template inline void convert_matrix( NLSparseMatrix * rhs, CNCSparseMatrixHYB& A, const unsigned int alignment = 32 ) { CNC_SIMPLE_ASSERT ( rhs->n == rhs->m, "In CNC, matrices must be square!" ) ; // references on the target matrix A CNCSparseMatrixELL & ell = A.ell; CNCSparseMatrixCOO & coo = A.coo; // assign num_cols A.num_cols = rhs->n; ell.num_cols = rhs->n; coo.num_cols = rhs->n; // assign num_rows A.num_rows = rhs->m ; ell.num_rows = rhs->m ; coo.num_rows = rhs->m ; // assign nonzeros unsigned int num_nonzeros = nlSparseMatrixNNZ(rhs); A.num_nonzeros = num_nonzeros; // compute the nnz number in the ELL and COO portion ell.num_cols_per_row = compute_hyb_cols_per_row(rhs); ell.num_nonzeros = 0; for(unsigned int i=0; im; i++) { ell.num_nonzeros += std::min(ell.num_cols_per_row,rhs->row[i].size); } // we store the rest part of nnz in COO format coo.num_nonzeros = num_nonzeros - ell.num_nonzeros; if (coo.num_nonzeros > 0) { coo.I.allocate( coo.num_nonzeros ); coo.J.allocate( coo.num_nonzeros ); coo.V.allocate( coo.num_nonzeros ); } else { // set to zeros the triplet I,J,V coo.I.clear(); coo.J.clear(); coo.V.clear(); } // compute the stride ell.stride = alignment * ((ell.num_rows + alignment - 1)/ alignment); unsigned int common_size = ell.stride * ell.num_cols_per_row ; // allocate the ell part ell.indices.allocate( common_size ) ; ell.a.allocate( common_size ) ; ell.diag.allocate( A.num_rows ) ; // filling to zero the ell part std::fill( ell.indices.data(), ell.indices.data() + common_size, 0); std::fill( ell.a.data(), ell.a.data() + common_size, static_cast(0)); std::fill( ell.diag.data(), ell.diag.data() + ell.num_rows, static_cast(0)); for(unsigned int i=0, coo_nnz = 0; im; i++) { NLRowColumn * R = &(rhs->row[i]) ; unsigned int jj = 0; while( jjsize && jj < ell.num_cols_per_row ) { // in of (i,jj) in A unsigned int index = ell.stride* jj + i; ell.a[index] = static_cast(R->coeff[jj].value) ; ell.indices[index] = R->coeff[jj].index ; // if diagonal element we store it in diag if (i == R->coeff[jj].index){ ell.diag[i] = static_cast(R->coeff[jj].value); } jj++; } while( jj < R->size) { coo.I[coo_nnz] = i; coo.J[coo_nnz] = R->coeff[jj].index; coo.V[coo_nnz] = static_cast(R->coeff[jj].value) ; jj++; coo_nnz++; } } std::cout << "ELL num cols per rows = " << ell.num_cols_per_row << std::endl; std::cout << "ELL nnz = " << ell.num_nonzeros << std::endl; std::cout << "COO nnz per rows = " << coo.num_nonzeros << std::endl; //A.print(); } #endif octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/src/plugins/cnc/cnc_timer.h0000644001356000007640000001017213673436411026075 0ustar fangqadmin/* * Copyright (c) 2004-2010, Bruno Levy * All rights reserved. * * CNC: Concurrent Number Cruncher, original code by Luc Buatois * Copyright (C) 2008-2010 GOCAD/ASGA, INRIA/ALICE * * Sparse matrix-vector multiplication (SpMV) CUDA kernels based on code * by Nathan Bell and Michael Garland at NVIDIA. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * * Redistributions of source code must retain the above copyright notice, * this list of conditions and the following disclaimer. * * Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * Neither the name of the ALICE Project-Team nor the names of its * contributors may be used to endorse or promote products derived from this * software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * * If you modify this software, you should include a notice giving the * name of the person performing the modification, the date of modification, * and the reason for such modification. * * Contact: Bruno Levy * * levy@loria.fr * * ALICE Project * LORIA, INRIA Lorraine, * Campus Scientifique, BP 239 * 54506 VANDOEUVRE LES NANCY CEDEX * FRANCE * */ #ifndef CNC_TIMER_H #define CNC_TIMER_H #ifdef OS_WIN #include typedef __int64 i64 ; class CNCTimer { public: CNCTimer () ; double GetTime () ; double GetElapsedTime ( double old_time ) ; private: i64 _freq ; i64 _clocks ; }; CNCTimer::CNCTimer () : _clocks(0) { QueryPerformanceFrequency((LARGE_INTEGER *)&_freq); } double CNCTimer::GetTime () { QueryPerformanceCounter((LARGE_INTEGER *)&_clocks); return (double)_clocks / (double)_freq; } double CNCTimer::GetElapsedTime ( double old_time ) { QueryPerformanceCounter((LARGE_INTEGER *)&_clocks); return ((double)_clocks / (double)_freq - old_time) ; } #endif #ifdef OS_LINUX typedef long long i64; typedef long long LARGE_INTEGER; class CNCTimer { public: CNCTimer () ; double GetTime () ; double GetElapsedTime ( double old_time ) ; private: i64 _freq ; i64 _clocks ; cudaEvent_t start; cudaEvent_t stop; }; CNCTimer::CNCTimer () : _clocks(0) { //QueryPerformanceFrequency((LARGE_INTEGER *)&_freq); // lpFrequency // [out] Pointer to a variable that receives the current // performance-counter frequency, in counts per second. // If the installed hardware does not support a high-resolution // performance counter, this parameter can be zero. _freq = 1000000; cudaEventCreate(&start); cudaEventRecord(start, 0); } double CNCTimer::GetTime () { float elaps; cudaEventCreate(&stop); cudaEventRecord(stop, 0); cudaEventSynchronize(stop); /* return milliseconds from start to stop event */ cudaEventElapsedTime(&elaps, start, stop); cudaEventDestroy(stop); _clocks = (long long)(elaps * 1000.0); // store microseconds return (double)_clocks / (double)_freq; // returns seconds } double CNCTimer::GetElapsedTime ( double old_time ) { CNCTimer::GetTime(); return ((double)_clocks / (double)_freq - old_time) ; // returns seconds } #endif #endif // CNC_TIMER_H octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/src/plugins/cnc/cnc_sparse_matrix_crs.h0000644001356000007640000003144613673436411030514 0ustar fangqadmin/* * Copyright (c) 2004-2010, Bruno Levy * All rights reserved. * * CNC: Concurrent Number Cruncher, original code by Luc Buatois * Copyright (C) 2008-2010 GOCAD/ASGA, INRIA/ALICE * * Sparse matrix-vector multiplication (SpMV) CUDA kernels based on code * by Nathan Bell and Michael Garland at NVIDIA. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * * Redistributions of source code must retain the above copyright notice, * this list of conditions and the following disclaimer. * * Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * Neither the name of the ALICE Project-Team nor the names of its * contributors may be used to endorse or promote products derived from this * software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * * If you modify this software, you should include a notice giving the * name of the person performing the modification, the date of modification, * and the reason for such modification. * * Contact: Bruno Levy * * levy@loria.fr * * ALICE Project * LORIA, INRIA Lorraine, * Campus Scientifique, BP 239 * 54506 VANDOEUVRE LES NANCY CEDEX * FRANCE * */ #ifndef CNC_SPARSE_MATRIX_CRS_H #define CNC_SPARSE_MATRIX_CRS_H #include "cnc_utils.h" #include "cnc_cublas_utils.h" #include "cnc_arrays.h" #include "cnc_kernels.h" #include #include #include extern "C" { #include } // -------------------------------------------------------------------------- // // CRS Sparse matrix data structure with CPU and GPU storage // // -------------------------------------------------------------------------- // class CNCSparseMatrixPatternCRS { public: typedef CNCArray1d IndexArray ; enum { NO_INDEX = ~0 } ; CNCSparseMatrixPatternCRS() { N = 0 ; symmetric_storage = false ; } void clear() { N = 0 ; symmetric_storage = false ; colind.clear() ; rowptr.clear() ; } /** number of rows */ unsigned int m() const { return rowptr.size() - 1 ; } /** number of columns */ unsigned int n() const { return N ; } /** number of non-zero coefficients */ unsigned int nnz() const { return colind.size() ; } /** number of non-zero coefficients in row i */ unsigned int row_nnz(unsigned int i) const { return rowptr[i+1] - rowptr[i] ; } public: IndexArray colind ; IndexArray rowptr ; unsigned int N ; bool symmetric_storage ; } ; //---------------------------------------------------------------------------// template class CNCSparseMatrixCRS : public CNCSparseMatrixPatternCRS { public: typedef TypeMatrix type_value; typedef CNCArray1d CoeffArray ; inline CNCSparseMatrixCRS() : separate_diag(true) { } template inline void mult(const TypeVector* x, TypeVector* y, const unsigned int vec_size) const ; template inline void mult(const CNCArray1d& x, CNCArray1d& y) const { mult( x.data(), y.data(), x.size()) ; } inline void print(std::ostream& out) ; inline unsigned int data_size() const { return a.size(); } inline TypeMatrix * diagonal() { return diag.data(); } inline const TypeMatrix * diagonal() const { return diag.data(); } inline void gpu_allocate_and_upload () ; inline void gpu_deallocate () ; template inline void gpu_mult ( const TypeVector * x, TypeVector * y, unsigned int vec_size) ; inline void print () { for(unsigned int i=0; i template inline void CNCSparseMatrixCRS::mult( const TypeVector * x, TypeVector* y, const unsigned int vec_size) const { if(separate_diag) { if(symmetric_storage) { // Symmetric storage and separate diagonal for(unsigned int i=0; i(diag[i]) ; } for(unsigned int i=diag.size(); i(a[j]) * x[colind[j]] ; y[colind[j]] += static_cast(a[j]) * x[i] ; } } } } else { // No symmetric storage and separate diagonal for(unsigned int i=0; i(a[j]) * x[colind[j]] ; } y[i] = sum ; } for(unsigned int i=0; i(diag[i]) ; } } } else { if(symmetric_storage) { // Symmetric storage, no separate diagonal memset ( y, 0, sizeof(TypeVector) ) ; for(unsigned int i=0; i(a[j]) * x[colind[j]] ; if(colind[j] != i) { y[colind[j]] += static_cast(a[j]) * x[i] ; } } } } else { // No symmetric storage, no separate diagonal for(unsigned int i=0; i(a[j]) * x[colind[j]] ; } y[i] = sum ; } } } } //---------------------------------------------------------------------------// // Allocate and upload a CRS sparse matrix on GPU memory // //---------------------------------------------------------------------------// template inline void CNCSparseMatrixCRS::gpu_allocate_and_upload () { // allocate and upload non-zero matrix coefficients new_device_vector( &gpu_mat_, a.size()+16 ); copy_host_to_device_vector( a, gpu_mat_ ); // allocate and upload rowptr and colind new_device_vector( &gpu_ci_, colind.size()+16 ) ; new_device_vector( &gpu_redundant_rp_, (rowptr.size()-1)+16 ) ; uint2 * cpu_redundant_rp ; new_host_vector( &cpu_redundant_rp, rowptr.size()-1 +16) ; for (unsigned int i=0; i inline void CNCSparseMatrixCRS::gpu_deallocate () { delete_device_vector ( &gpu_mat_ ) ; delete_device_vector ( &gpu_ci_ ) ; delete_device_vector ( &gpu_redundant_rp_ ) ; } //---------------------------------------------------------------------------// // GPU CRS Matrix / Vector Multiply // //---------------------------------------------------------------------------// template template inline void CNCSparseMatrixCRS::gpu_mult ( const TypeVector * x, TypeVector * y, unsigned int vec_size) { #ifdef USE_TEXTURE // store the x vector in texture bind_x(x); #endif #ifndef USE_SHARED_CRS const unsigned int BLOCK_SIZE = 256; const dim3 grid = make_large_grid(vec_size, BLOCK_SIZE); CNCMat1x1VecMultKernel <<>>( gpu_mat_, a.size(), gpu_redundant_rp_, rowptr.size(), gpu_ci_, colind.size(), x, y, vec_size); #else const unsigned int NB_BLOCK_SIZE = 128; const unsigned int WARPS_PER_BLOCK = NB_BLOCK_SIZE / WARP_SIZE; const unsigned int MAX_BLOCKS = MAX_THREADS / NB_BLOCK_SIZE; const unsigned int NUM_BLOCKS = std::min(MAX_BLOCKS, DIVIDE_INTO(m(), WARPS_PER_BLOCK)); CNCCRSNathan_Bell <<>> ( gpu_mat_, a.size(), gpu_redundant_rp_, rowptr.size(), gpu_ci_, colind.size(), x, y, vec_size); #endif #ifdef USE_TEXTURE // store the x vector in texture unbind_x(x); #endif } //---------------------------------------------------------------------------// // Conversion NLSparseMatrix to CNCSparseMatrixCRS : definition // //---------------------------------------------------------------------------// template inline void convert_matrix( NLSparseMatrix * rhs, CNCSparseMatrixCRS& A, bool separate_diag ) { A.separate_diag = separate_diag ; A.symmetric_storage = static_cast(rhs->storage & NL_MATRIX_STORE_SYMMETRIC); A.N = rhs->n ; A.rowptr.allocate(rhs->m + 1) ; unsigned int nnz = nlSparseMatrixNNZ(rhs) ; if(separate_diag) { nnz -= rhs->diag_size; } // allocation A.colind.allocate(nnz) ; A.a.allocate(nnz) ; A.diag.allocate(rhs->diag_size) ; unsigned int max_nnz_per_rows = 0; unsigned int cur = 0 ; for(unsigned int i=0; im; i++) { A.rowptr[i] = cur ; NLRowColumn * R = &(rhs->row[i]) ; max_nnz_per_rows = std::max(max_nnz_per_rows,R->size); for(unsigned int jj=0; jjsize; jj++) { if(!separate_diag || (R->coeff[jj].index != i )) { A.a[cur] = static_cast(R->coeff[jj].value) ; A.colind[cur] = R->coeff[jj].index ; cur++ ; } } } A.rowptr[rhs->m] = nnz ; // we retrieve the diagonal for(unsigned int i=0; idiag_size; i++) { A.diag[i] = static_cast(rhs->diag[i]) ; } std::cout << "average nnz per rows = " << nnz / rhs->n << std::endl << "max nnz per rows = " << max_nnz_per_rows << std::endl; } #endif octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/src/plugins/cnc/cnc_cublas_utils.h0000644001356000007640000001372113673436411027451 0ustar fangqadmin/* * Copyright (c) 2004-2010, Bruno Levy * All rights reserved. * * CNC: Concurrent Number Cruncher, original code by Luc Buatois * Copyright (C) 2008-2010 GOCAD/ASGA, INRIA/ALICE * * Sparse matrix-vector multiplication (SpMV) CUDA kernels based on code * by Nathan Bell and Michael Garland at NVIDIA. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * * Redistributions of source code must retain the above copyright notice, * this list of conditions and the following disclaimer. * * Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * Neither the name of the ALICE Project-Team nor the names of its * contributors may be used to endorse or promote products derived from this * software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * * If you modify this software, you should include a notice giving the * name of the person performing the modification, the date of modification, * and the reason for such modification. * * Contact: Bruno Levy * * levy@loria.fr * * ALICE Project * LORIA, INRIA Lorraine, * Campus Scientifique, BP 239 * 54506 VANDOEUVRE LES NANCY CEDEX * FRANCE * */ #ifndef CNC_GPU_UTILS_H #define CNC_GPU_UTILS_H #include #include #include #include #include //---------------------------------------------------------------------------// // thread block size (number of threads per block = BLOCK_SIZE*BLOCK_SIZE) // //---------------------------------------------------------------------------// #define THREAD_BLOCK_SIZE 16 static void CNCgetError ( cublasStatus st ) { switch (st) { case CUBLAS_STATUS_SUCCESS: break ; //printf ( "cublas : no error\n" ) ; break ; case CUBLAS_STATUS_NOT_INITIALIZED: printf ("CUBLAS_STATUS_NOT_INITIALIZED\n") ;break ; case CUBLAS_STATUS_ALLOC_FAILED: printf ("CUBLAS_STATUS_ALLOC_FAILED\n") ; break ; case CUBLAS_STATUS_INVALID_VALUE: printf ("CUBLAS_STATUS_INVALID_VALUE\n") ; break ; case CUBLAS_STATUS_MAPPING_ERROR: printf ("CUBLAS_STATUS_MAPPING_ERROR\n") ; break ; case CUBLAS_STATUS_EXECUTION_FAILED:printf ("CUBLAS_STATUS_EXECUTION_FAILED\n");break ; case CUBLAS_STATUS_INTERNAL_ERROR: printf ("CUBLAS_STATUS_INTERNAL_ERROR\n") ; break ; default: printf ("unkown error message\n"); break ; } } //static void CNCgetError () { // cublasStatus st = cublasGetError() ; // CNCgetError ( st ) ; //} // Check if there is a device supporting CUDA static bool CNCCheckDevice() { #if __DEVICE_EMULATION__ return true; #else int deviceCount; cudaGetDeviceCount(&deviceCount); if (deviceCount == 0){ return false; } int dev; for (dev = 0; dev < deviceCount; ++dev) { cudaDeviceProp deviceProp; cudaGetDeviceProperties(&deviceProp, dev); if (strncmp(deviceProp.name, "Device Emulation", 16)) break; } if (dev == deviceCount) { return false; } else { cudaSetDevice(dev); return true; } #endif } // Check if the device that would be found by CNCCheckDevice supports doubles static bool CNCCheckDeviceDoubleSupport() { #if __DEVICE_EMULATION__ return true; #else int deviceCount; cudaGetDeviceCount(&deviceCount); if (deviceCount == 0){ return false; } int dev; for (dev = 0; dev < deviceCount; ++dev) { cudaDeviceProp deviceProp; cudaGetDeviceProperties(&deviceProp, dev); if (strncmp(deviceProp.name, "Device Emulation", 16)){ if(deviceProp.major > 1 || deviceProp.minor >= 3){ return true; } return false; } } return false; #endif } // dummy kernel used to setup L1 cache on Fermi cards #if CUDA_VERSION >= 3000 extern "C" __global__ static void dummy_kernel() { } #endif // Configure a CUDA device to have the best performance static bool CNCConfigureDevice() { #if __DEVICE_EMULATION__ return true; #else int deviceCount, dev, devCurrent; cudaDeviceProp deviceProp; // Save current device cudaGetDevice(&devCurrent); // Loop through all the available devices cudaGetDeviceCount(&deviceCount); for (dev=0; dev < deviceCount; ++dev) { cudaGetDeviceProperties(&deviceProp, dev); // Use 48k of L1 cache on Fermi cards. We only set this on a dummy // kernel, but this setting is persistent and will thus affect all our // kernels. Launching this kernel is required for this setting to be // taken into account. #if CUDA_VERSION >= 3000 if (deviceProp.major >= 2) { cudaSetDevice(dev); if (cudaFuncSetCacheConfig(dummy_kernel, cudaFuncCachePreferL1) != cudaSuccess) return false; dummy_kernel<<< 8192, 256 >>>(); if (cudaThreadSynchronize() != cudaSuccess) return false; } } #endif // Restore current device cudaSetDevice(devCurrent); return true; #endif } #endif //CNC_UTILS_H octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/src/plugins/cnc/cnc_arrays.h0000644001356000007640000001221213673436411026253 0ustar fangqadmin/* * Copyright (c) 2004-2010, Bruno Levy * All rights reserved. * * CNC: Concurrent Number Cruncher, original code by Luc Buatois * Copyright (C) 2008-2010 GOCAD/ASGA, INRIA/ALICE * * Sparse matrix-vector multiplication (SpMV) CUDA kernels based on code * by Nathan Bell and Michael Garland at NVIDIA. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * * Redistributions of source code must retain the above copyright notice, * this list of conditions and the following disclaimer. * * Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * Neither the name of the ALICE Project-Team nor the names of its * contributors may be used to endorse or promote products derived from this * software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * * If you modify this software, you should include a notice giving the * name of the person performing the modification, the date of modification, * and the reason for such modification. * * Contact: Bruno Levy * * levy@loria.fr * * ALICE Project * LORIA, INRIA Lorraine, * Campus Scientifique, BP 239 * 54506 VANDOEUVRE LES NANCY CEDEX * FRANCE * */ #ifndef CNC_BASIC_ARRAYS_H #define CNC_BASIC_ARRAYS_H #include #include "cnc_kernels.h" template class CNCArray1d { public: typedef CNCArray1d thisclass ; CNCArray1d(unsigned int size = 0, unsigned int alignment = 1) { data_ = NULL ; base_mem_ = NULL ; size_ = 0 ; allocate(size, alignment) ; } inline ~CNCArray1d() { deallocate() ; } /** does not preserve previous values stored in the array */ void allocate(unsigned int size, unsigned int alignment = 1) { deallocate() ; if(size != 0) { base_mem_ = (char*)malloc(size * sizeof(T) + alignment -1) ; char* p = base_mem_ ; // GMY 20090825 original: while(unsigned __int64(p) % alignment){p++;} while (((unsigned long long) p) % alignment) { ++p; } data_ = (T*)p ; for(unsigned int i=0; i floatArray ; typedef CNCArray1d doubleArray ; #endif octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/src/plugins/cnc/cnc_texture.h0000644001356000007640000001320513673436411026455 0ustar fangqadmin/* * Copyright (c) 2004-2010, Bruno Levy * All rights reserved. * * CNC: Concurrent Number Cruncher, original code by Luc Buatois * Copyright (C) 2008-2010 GOCAD/ASGA, INRIA/ALICE * * Sparse matrix-vector multiplication (SpMV) CUDA kernels based on code * by Nathan Bell and Michael Garland at NVIDIA. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * * Redistributions of source code must retain the above copyright notice, * this list of conditions and the following disclaimer. * * Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * Neither the name of the ALICE Project-Team nor the names of its * contributors may be used to endorse or promote products derived from this * software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * * If you modify this software, you should include a notice giving the * name of the person performing the modification, the date of modification, * and the reason for such modification. * * Contact: Bruno Levy * * levy@loria.fr * * ALICE Project * LORIA, INRIA Lorraine, * Campus Scientifique, BP 239 * 54506 VANDOEUVRE LES NANCY CEDEX * FRANCE * */ #ifndef CNC_TEXTURE_H #define CNC_TEXTURE_H // taken from Nathan Bell's spmv #ifdef __CUDACC__ #include # define CUDA_SAFE_CALL_NO_SYNC( call) do { \ cudaError err = call; \ if( cudaSuccess != err) { \ fprintf(stderr, "Cuda error in file '%s' in line %i : %s.\n", \ __FILE__, __LINE__, cudaGetErrorString( err) ); \ exit(EXIT_FAILURE); \ } } while (0) # define CUDA_SAFE_CALL( call) do { \ CUDA_SAFE_CALL_NO_SYNC(call); \ cudaError err = cudaThreadSynchronize(); \ if( cudaSuccess != err) { \ fprintf(stderr, "Cuda error in file '%s' in line %i : %s.\n", \ __FILE__, __LINE__, cudaGetErrorString( err) ); \ exit(EXIT_FAILURE); \ } } while (0) #else // drop all CUDA calls #define CUDA_SAFE_CALL_NO_SYNC(x) #define CUDA_SAFE_CALL(x) #endif texture tex_x_float; texture tex_x_float4; texture tex_x_float2; // Use int2 to pull doubles through texture cache texture tex_x_double; // Use int4 to pull double2s through texture cache texture tex_x_double2; void bind_x(const float * x) { CUDA_SAFE_CALL(cudaBindTexture(NULL, tex_x_float, x)); } void bind_x(const float2 * x) { CUDA_SAFE_CALL(cudaBindTexture(NULL, tex_x_float2, x)); } void bind_x(const float4 * x) { CUDA_SAFE_CALL(cudaBindTexture(NULL, tex_x_float4, x)); } void bind_x(const double * x) { CUDA_SAFE_CALL(cudaBindTexture(NULL, tex_x_double, x)); } void bind_x(const double2 * x) { CUDA_SAFE_CALL(cudaBindTexture(NULL, tex_x_double2, x)); } void unbind_x(const float * x) { CUDA_SAFE_CALL(cudaUnbindTexture(tex_x_float)); } void unbind_x(const float4 * x) { CUDA_SAFE_CALL(cudaUnbindTexture(tex_x_float4)); } void unbind_x(const float2 * x) { CUDA_SAFE_CALL(cudaUnbindTexture(tex_x_float2)); } void unbind_x(const double * x) { CUDA_SAFE_CALL(cudaUnbindTexture(tex_x_double)); } void unbind_x(const double2 * x) { CUDA_SAFE_CALL(cudaUnbindTexture(tex_x_double2)); } __inline__ __device__ float fetch_x(const int& i, const float * x) { return tex1Dfetch(tex_x_float, i); } __inline__ __device__ float4 fetch_x(const int& i, const float4 * x) { return tex1Dfetch(tex_x_float4, i); } __inline__ __device__ float2 fetch_x(const int& i, const float2 * x) { return tex1Dfetch(tex_x_float2, i); } #if !defined(CUDA_NO_SM_13_DOUBLE_INTRINSICS) __inline__ __device__ double fetch_x(const int& i, const double * x) { int2 v = tex1Dfetch(tex_x_double, i); return __hiloint2double(v.y, v.x); } __inline__ __device__ double2 fetch_x(const int& i, const double2 * x) { int4 v=tex1Dfetch(tex_x_double2, i); return make_double2(__hiloint2double(v.y, v.x),__hiloint2double(v.w, v.z)); } #else // !defined(CUDA_NO_SM_13_DOUBLE_INTRINSICS) // dummy implementation just for compiling __inline__ __device__ double fetch_x(const int& i, const double * x) { return 0.; } __inline__ __device__ double2 fetch_x(const int& i, const double2 * x) { return make_double2(0.,0.); } #endif #endif octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/src/make_single_file.sh0000755001356000007640000000060513673436411025351 0ustar fangqadmincd NL cat nl_linkage.h nl.h |egrep -v "NL/" >> ../nl.h echo "#include \"nl.h\"" > ../nl_single_file.c cat `cat filelist.txt` | egrep -v "NL/" >> ../nl_single_file.c cd .. # for each source plugin specified, add the sources #cd plugins # for plugin_dir in $* # do # cd ${plugin_dir} # echo Adding plugin ${plugin_dir} # #TODO # cd .. # done octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/src/nl.h0000644001356000007640000002046513673436411022325 0ustar fangqadmin/* * Copyright (c) 2004-2010, Bruno Levy * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * * Redistributions of source code must retain the above copyright notice, * this list of conditions and the following disclaimer. * * Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * Neither the name of the ALICE Project-Team nor the names of its * contributors may be used to endorse or promote products derived from this * software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * * If you modify this software, you should include a notice giving the * name of the person performing the modification, the date of modification, * and the reason for such modification. * * Contact: Bruno Levy * * levy@loria.fr * * ALICE Project * LORIA, INRIA Lorraine, * Campus Scientifique, BP 239 * 54506 VANDOEUVRE LES NANCY CEDEX * FRANCE * */ #ifndef __LIBNL_LINKAGE__ #define __LIBNL_LINKAGE__ #ifdef WIN32 #ifdef NL_SHARED_LIBS #ifdef NL_EXPORTS #define NLAPIENTRY __declspec( dllexport ) #else #define NLAPIENTRY __declspec( dllimport ) #endif #else #define NLAPIENTRY #endif #else #define NLAPIENTRY #endif #endif /* * Copyright (c) 2004-2010, Bruno Levy * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * * Redistributions of source code must retain the above copyright notice, * this list of conditions and the following disclaimer. * * Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * Neither the name of the ALICE Project-Team nor the names of its * contributors may be used to endorse or promote products derived from this * software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * * If you modify this software, you should include a notice giving the * name of the person performing the modification, the date of modification, * and the reason for such modification. * * Contact: Bruno Levy * * levy@loria.fr * * ALICE Project * LORIA, INRIA Lorraine, * Campus Scientifique, BP 239 * 54506 VANDOEUVRE LES NANCY CEDEX * FRANCE * */ #ifndef __nl_h__ #define __nl_h__ #ifdef __cplusplus extern "C" { #endif #define NL_VERSION_0_0 1 #define NLAPI /* * * Datatypes * */ typedef unsigned int NLenum; typedef unsigned char NLboolean; typedef unsigned int NLbitfield; typedef void NLvoid; typedef signed char NLbyte; /* 1-byte signed */ typedef short NLshort; /* 2-byte signed */ typedef int NLint; /* 4-byte signed */ typedef unsigned char NLubyte; /* 1-byte unsigned */ typedef unsigned short NLushort; /* 2-byte unsigned */ typedef unsigned int NLuint; /* 4-byte unsigned */ typedef int NLsizei; /* 4-byte signed */ typedef float NLfloat; /* single precision float */ typedef double NLdouble; /* double precision float */ typedef void* NLContext ; /* * * Constants * */ #define NL_FALSE 0x0 #define NL_TRUE 0x1 /* Primitives */ #define NL_SYSTEM 0x0 #define NL_MATRIX 0x1 #define NL_ROW 0x2 /* Solver Parameters */ #define NL_SOLVER 0x100 #define NL_NB_VARIABLES 0x101 #define NL_LEAST_SQUARES 0x102 #define NL_MAX_ITERATIONS 0x103 #define NL_THRESHOLD 0x104 #define NL_OMEGA 0x105 #define NL_SYMMETRIC 0x106 #define NL_USED_ITERATIONS 0x107 #define NL_ERROR 0x108 #define NL_INNER_ITERATIONS 0x109 #define NL_ELAPSED_TIME 0x10a #define NL_PRECONDITIONER 0x10b /* Solvers */ #define NL_CG 0x200 #define NL_BICGSTAB 0x201 #define NL_GMRES 0x202 #define NL_SUPERLU_EXT 0x210 #define NL_PERM_SUPERLU_EXT 0x211 #define NL_SYMMETRIC_SUPERLU_EXT 0x212 #define NL_SOLVER_USER 0x213 #define NL_CNC_FLOAT_CRS 0x220 #define NL_CNC_DOUBLE_CRS 0x222 #define NL_CNC_FLOAT_BCRS2 0x221 #define NL_CNC_DOUBLE_BCRS2 0x223 #define NL_CNC_FLOAT_ELL 0x224 #define NL_CNC_DOUBLE_ELL 0x225 #define NL_CNC_FLOAT_HYB 0x229 #define NL_CNC_DOUBLE_HYB 0x22a /* Preconditioners */ #define NL_PRECOND_NONE 0x000 #define NL_PRECOND_JACOBI 0x300 #define NL_PRECOND_SSOR 0x301 #define NL_PRECOND_USER 0x303 /* Enable / Disable */ #define NL_NORMALIZE_ROWS 0x400 /* Row parameters */ #define NL_RIGHT_HAND_SIDE 0x500 #define NL_ROW_SCALING 0x501 /* Functions */ #define NL_FUNC_SOLVER 0x600 #define NL_FUNC_MATRIX 0x601 #define NL_FUNC_PRECONDITIONER 0x602 /* * Contexts */ NLAPI NLContext NLAPIENTRY nlNewContext() ; NLAPI void NLAPIENTRY nlDeleteContext(NLContext context) ; NLAPI void NLAPIENTRY nlMakeCurrent(NLContext context) ; NLAPI NLContext NLAPIENTRY nlGetCurrent() ; NLAPI NLboolean NLAPIENTRY nlInitExtension(const char* extension) ; /* * State set/get */ NLAPI void NLAPIENTRY nlSolverParameterd(NLenum pname, NLdouble param) ; NLAPI void NLAPIENTRY nlSolverParameteri(NLenum pname, NLint param) ; NLAPI void NLAPIENTRY nlRowParameterd(NLenum pname, NLdouble param) ; NLAPI void NLAPIENTRY nlRowParameteri(NLenum pname, NLint param) ; NLAPI void NLAPIENTRY nlGetBooleanv(NLenum pname, NLboolean* params) ; NLAPI void NLAPIENTRY nlGetDoublev(NLenum pname, NLdouble* params) ; NLAPI void NLAPIENTRY nlGetIntergerv(NLenum pname, NLint* params) ; NLAPI void NLAPIENTRY nlEnable(NLenum pname) ; NLAPI void NLAPIENTRY nlDisable(NLenum pname) ; NLAPI NLboolean nlIsEnabled(NLenum pname) ; /* * Functions */ NLAPI void NLAPIENTRY nlSetFunction(NLenum pname, void* param) ; NLAPI void NLAPIENTRY nlGetFunction(NLenum pname, void** param) ; /* * Variables */ NLAPI void NLAPIENTRY nlSetVariable(NLuint index, NLdouble value) ; NLAPI NLdouble NLAPIENTRY nlGetVariable(NLuint index) ; NLAPI void NLAPIENTRY nlLockVariable(NLuint index) ; NLAPI void NLAPIENTRY nlUnlockVariable(NLuint index) ; NLAPI NLboolean NLAPIENTRY nlVariableIsLocked(NLuint index) ; /* * Begin/End */ NLAPI void NLAPIENTRY nlBegin(NLenum primitive) ; NLAPI void NLAPIENTRY nlEnd(NLenum primitive) ; NLAPI void NLAPIENTRY nlCoefficient(NLuint index, NLdouble value) ; /* * Solve */ NLAPI NLboolean NLAPIENTRY nlSolve() ; #ifdef __cplusplus } #endif #endif octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/src/CMakeLists.txt0000644001356000007640000000177513673436411024306 0ustar fangqadmin IF(WIN32) IF(BUILD_SHARED_LIBS) ADD_DEFINITIONS(-DNL_EXPORTS) ADD_DEFINITIONS(-DNL_SHARED_LIBS) ENDIF(BUILD_SHARED_LIBS) ENDIF(WIN32) AUX_SOURCE_DIRECTORY(NL SOURCES) # extensions IF(USE_CNC) AUX_SOURCE_DIRECTORY(plugins/cnc SOURCES) set(SOURCES ${SOURCES};plugins/cnc/cnc_cuda_blas.cu) ENDIF(USE_CNC) IF(USE_ATLAS) ADD_DEFINITIONS(-DNL_USE_ATLAS) ENDIF(USE_ATLAS) IF(USE_SUPERLU) ADD_DEFINITIONS(-DNL_USE_SUPERLU) SET(SUPERLU_INCS ${SUPERLU_HOME}/SRC) INCLUDE_DIRECTORIES(${SUPERLU_INCS}) ENDIF(USE_SUPERLU) # creation of the library IF(USE_CNC) IF(WIN32) CUDA_ADD_LIBRARY(nl ${SOURCES} ${HeaderFiles}) ELSE(WIN32) CUDA_ADD_LIBRARY(nl ${SOURCES} ) set_target_properties(nl PROPERTIES COMPILE_FLAGS "-malign-double") ENDIF(WIN32) CUDA_ADD_CUBLAS_TO_TARGET(nl) ELSE(USE_CNC) IF(WIN32) ADD_LIBRARY(nl ${SOURCES} ${HeaderFiles}) ELSE(WIN32) ADD_LIBRARY(nl ${SOURCES} ) ENDIF(WIN32) ENDIF(USE_CNC) octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/CMake/0000755001356000007640000000000013673436411021725 5ustar fangqadminoctave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/CMake/cmCUDA_DISCOVER_DEVICE_FLAGS.cpp0000644001356000007640000001442513673436411026724 0ustar fangqadmin #include #include #include #if WIN32 #include #else //#include #include #include #endif /*WIN32*/ #include "cmCPluginAPI.h" #include #include class FlagBuilder{ public: void add_flag(const std::string& flag){ oss << "-D" << flag << ";"; } template void add_def(const std::string& def, const T value){ oss << "-D" << def << "=" << value << ";"; } std::string str(){ return oss.str(); } private: std::ostringstream oss; }; FlagBuilder fb; // Check if there is a device supporting CUDA void GetCUDADeviceFlags() { int deviceCount; bool archi_13 = false; cudaGetDeviceCount(&deviceCount); // This function call returns 0 if there are no CUDA capable devices. if (deviceCount == 0) printf("There is no device supporting CUDA\n"); int dev = 0; for (dev = 0; dev < 1/*deviceCount/*HACK : we want the first one only for now*/; ++dev) { printf("\nFirst device is selected by default.\n\n"); cudaDeviceProp deviceProp; cudaGetDeviceProperties(&deviceProp, dev); if (dev == 0) { // This function call returns 9999 for both major & minor fields, if no CUDA capable devices are present if (deviceProp.major == 9999 && deviceProp.minor == 9999) printf("There is no device supporting CUDA.\n"); else if (deviceCount == 1) printf("There is 1 device supporting CUDA\n"); else printf("There are %d devices supporting CUDA\n", deviceCount); if ((deviceProp.major * 10 + deviceProp.minor) >= 13 ) { // OK on peut faire du double et rajouter des optimizations archi_13 = true; } #if CUDART_VERSION >= 2000 if (archi_13){ fb.add_def("MAX_THREADS", deviceProp.multiProcessorCount*1024); } else { fb.add_def("MAX_THREADS", deviceProp.multiProcessorCount*768); } #endif fb.add_def("WARP_SIZE", deviceProp.warpSize); fb.add_flag("USE_CRS_SHARED"); fb.add_flag("USE_TEXTURE"); } printf("\nDevice %d: \"%s\"\n", dev, deviceProp.name); #if CUDART_VERSION >= 2020 int driverVersion = 0, runtimeVersion = 0; cudaDriverGetVersion(&driverVersion); printf(" CUDA Driver Version: %d.%d\n", driverVersion/1000, driverVersion%100); cudaRuntimeGetVersion(&runtimeVersion); printf(" CUDA Runtime Version: %d.%d\n", runtimeVersion/1000, runtimeVersion%100); #endif printf(" CUDA Capability Major revision number: %d\n", deviceProp.major); printf(" CUDA Capability Minor revision number: %d\n", deviceProp.minor); printf(" Total amount of global memory: %u bytes\n", deviceProp.totalGlobalMem); #if CUDART_VERSION >= 2000 printf(" Number of multiprocessors: %d\n", deviceProp.multiProcessorCount); printf(" Number of cores: %d\n", 8 * deviceProp.multiProcessorCount); #endif printf(" Total amount of constant memory: %u bytes\n", deviceProp.totalConstMem); printf(" Total amount of shared memory per block: %u bytes\n", deviceProp.sharedMemPerBlock); printf(" Total number of registers available per block: %d\n", deviceProp.regsPerBlock); printf(" Warp size: %d\n", deviceProp.warpSize); printf(" Warp size: %d\n", deviceProp.warpSize); printf(" Maximum number of threads per block: %d\n", deviceProp.maxThreadsPerBlock); printf(" Maximum sizes of each dimension of a block: %d x %d x %d\n", deviceProp.maxThreadsDim[0], deviceProp.maxThreadsDim[1], deviceProp.maxThreadsDim[2]); printf(" Maximum sizes of each dimension of a grid: %d x %d x %d\n", deviceProp.maxGridSize[0], deviceProp.maxGridSize[1], deviceProp.maxGridSize[2]); printf(" Maximum memory pitch: %u bytes\n", deviceProp.memPitch); printf(" Texture alignment: %u bytes\n", deviceProp.textureAlignment); printf(" Clock rate: %.2f GHz\n", deviceProp.clockRate * 1e-6f); #if CUDART_VERSION >= 2000 printf(" Concurrent copy and execution: %s\n", deviceProp.deviceOverlap ? "Yes" : "No"); #endif #if CUDART_VERSION >= 2020 printf(" Run time limit on kernels: %s\n", deviceProp.kernelExecTimeoutEnabled ? "Yes" : "No"); printf(" Integrated: %s\n", deviceProp.integrated ? "Yes" : "No"); printf(" Support host page-locked memory mapping: %s\n", deviceProp.canMapHostMemory ? "Yes" : "No"); printf(" Compute mode: %s\n", deviceProp.computeMode == cudaComputeModeDefault ? "Default (multiple host threads can use this device simultaneously)" : deviceProp.computeMode == cudaComputeModeExclusive ? "Exclusive (only one host thread at a time can use this device)" : deviceProp.computeMode == cudaComputeModeProhibited ? "Prohibited (no host thread can use this device)" : "Unknown"); #endif } } #ifdef __cplusplus extern "C" { #endif static int InitialPass(void *inf, void *mf, int argc, char *argv[]) { cmLoadedCommandInfo *info = (cmLoadedCommandInfo *)(inf); const char *pwd = info->CAPI->GetCurrentDirectory(mf); info->CAPI->DisplaySatus(mf, pwd); GetCUDADeviceFlags(); info->CAPI->DisplaySatus(mf, fb.str().c_str()); info->CAPI->AddDefinition(mf, "CUDA_DEVICE_FLAGS", fb.str().c_str()); return 1; } void CM_PLUGIN_EXPORT CUDA_DISCOVER_DEVICE_FLAGSInit(cmLoadedCommandInfo *info) { info->InitialPass = InitialPass; info->m_Inherited = 0; info->Name = "CUDA_DISCOVER_DEVICE_FLAGS"; } #ifdef __cplusplus } #endif octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/CMake/CMakeLists.txt0000644001356000007640000000074713673436411024475 0ustar fangqadminPROJECT(CUDA_DISCOVER_DEVICE_FLAGS) if(COMMAND cmake_minimum_required) cmake_minimum_required(VERSION 2.4) endif(COMMAND cmake_minimum_required) INCLUDE(${CMAKE_SOURCE_DIR}/../CMakeModules/FindCUDA.cmake) SET(CMAKE_CXX_FLAGS ${CMAKE_CXX_FLAGS} ${CMAKE_ANSI_CXXFLAGS}) SET(CMAKE_C_FLAGS ${CMAKE_C_FLAGS} ${CMAKE_ANSI_CFLAGS}) INCLUDE_DIRECTORIES(${CMAKE_ROOT}/include ${CMAKE_ROOT}/Source) CUDA_ADD_LIBRARY(cmCUDA_DISCOVER_DEVICE_FLAGS MODULE cmCUDA_DISCOVER_DEVICE_FLAGS.cpp) octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/doc/0000755001356000007640000000000013673436411021512 5ustar fangqadminoctave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/doc/INSTALL.txt0000644001356000007640000002575213673436411023374 0ustar fangqadmin================================================================================ Compilation ================================================================================ -------------------------------------------------------------------------------- 1) Prerequisites -------------------------------------------------------------------------------- - CMake >= 2.4 Additional requirements if you want to enable CNC: - a CUDA-enabled device with 1.0 capabilities for floating point computation, or with 1.3 capabilities for double precision computation. (see Apendix A of the "NVIDIA CUDA Programming guide") - CMake >= 2.6.3 - CUDA toolkit (tested on 2.3 and 3.1) Additional requirements if you want to enable SuperLU: - SuperLU 4.0 -------------------------------------------------------------------------------- 2) Configuration -------------------------------------------------------------------------------- OpenNL can be configured using a file named "CMakeOptions.txt". If you are only interested in getting the minimal version of the library, you can go to next step. In the base directory of the sources, copy "CMakeOptions.txt.sample" and rename the copy to "CMakeOptions.txt". This file is composed of two parts: the first one is used to set options for OpenNL core, and the second is dedicated to the extensions. Before changing any setting, please read all corresponding comments. -PARANOID_DEBUG : enables a high level of (time consumming) assertion checks. If your code core dumps or gives unexpected results, I recommand trying to recompile it with a version of OpenNL compiled with this flag set, as it turns out all range assertion checks (and can detect a wrongly intialized index, which is the most common bug in numerical code) Options related to SuperLU: -USE_SUPERLU : activates support for SuperLU 4.0 sparse direct solver (in most cases it is much more efficient that OpenNL built-in direct solvers) To activate this option, you need the SuperLU library. The latest version can be downloaded from http://crd.lbl.gov/~xiaoye/SuperLU/ Note1: check in SUPERLUHOME/make.inc that CDEFS = -DAdd_ (with a single underscore) rather than -DAdd__ (with two underscores). If you got two underscores, remove the second one, make clean and re-make SuperLU. See also the example Makefile. Note2: client code can check at run time whether OpenNL was compiled with SuperLU support with the nlInitExtension() function (see the example program) Options related to the CNC[4] plugin : -USE_CNC: please uncomment the following line, SET(USE_CNC TRUE) if you want to enable the CNC plugin in OpenNL. -SET CNC_NVCC_FLAGS : you should indicate what version of CUDA is supported by your hardware (see Compute Capabilities in Appendix A of the "NVIDIA CUDA Programming guide" to find out), by uncommenting the corresponding line SET(CNC_NVCC_FLAGS -arch=sm_XX) where XX belongs to {10, 11 , 12, 13, 20} Please note that if you want to use the double precision solvers ( DOUBLE_CRS, DOUBLE_BCRS2, DOUBLE_ELL, DOUBLE_HYB) you need to have a device that supports at least compute capabilities 1.3 (ie -arch=sm_13 or -arch=sm_20) -CUDA_BUILD_EMULATION : set this variable to TRUE if you want to emulate a CUDA device instead of using a physical one. This option should be used only when debugging. -CNC_OPTIMIZE_FOR_THIS_MACHINE : DEPRECATED setting this variable to TRUE will enable a CMake command that will try to determine some compilation directives to optimize for you hardware. On some systems, it may cause a crash at the end of the configuration, but it does not seem to impact the project, as it happens after CMake has written the project files. On other systems, this option may fail completely (telling you that the commande cmCUDA_DISCOVER_DEVICE_FLAGS does not exist). If you prefer not to (or cannot) use this command, you can edit the following options in src/plugins/cnc-kernels.h: - USE_TEXTURE: this directive enables the use of textures for caching the vector of current entries 'x' (speedup of about 10%). - USE_CRS_SHARED: for {FLOAT | DOUBLE}_CRS solvers, OpenNL uses an optimization taken from Nathan Bell Article[3] to speed-up the sparse matrix vector product; it is very efficient, but you need to have enough non-zero entries by row in your matrix, at least as much as WARP_SIZE (which is 32). - MAX_THREADS: the maximum number of coresidents threads; it corresponds to the number of multiprocessors times the maximum number of active threads per multiprocessor. You can find these informations in Appendix A of NVIDIA CUDA Programmation Guide; "A.1 General specifications" or you could run the deviceQuery example in the NVIDIA_GPU_Computing_SDK. For Compute capabilities 1.0 and 1.1, the maximum number of active threads per multiprocessor is 768, and for 1.2 and 1.3 it is 1024. Examples: for a Quadro FX 3700: #define MAX_THREADS (14*768) for a Tesla C1060: #define MAX_THREADS (30*1024) See comments in CMakeOptions.txt.sample for more details. -------------------------------------------------------------------------------- 3) Building -------------------------------------------------------------------------------- The installation process varies a little between plateforms. Refer to the appropriate sub-section for GNU/Linux and various Windows flavors. *** On GNU/Linux plateforms: cd ./configure cd build/Linux-Release/ make Executables are put in /build/Linux-Release/binaries/bin/. To ensure that all went well, try to run the basic tests: cd ../../examples ./make_test [option] Note : if the time of CNC solver is longer than time for CG solver in basic tests, it is normal. basic tests ensure just computations are rights. options of make_test are as follow: -h display help message. -f perform tests with simple precision floating point versions of cnc solvers (default). -d perform tests with double precision floating point versions of cnc solvers. You can cumulate -f and -d to test both versions. -s serious tests (with large systems). Takes more time than the basic tests. -S very serious tests (with quite large systems). Takes way more time than the serious tests and only works in double precision (-d). For these tests, you need to download additional data sets at http://alice.loria.fr/software/OpenNL/ and uncompress them in /examples/DATA. -i : test on the given file only. *** On Windows plateforms, with Visual C++ 2008: ** For XP_32 bits: - in folder, run "configure.bat" (if needed, edit it to reflect your CMake installation directory) - open \build\windows\OpenNL.sln in VC++ - build the solution in the desired configuration. You can run some examples with /examples/make_test.bat Feel free to edit make_test.bat to try other examples. ** For XP_64 bits : We only tested compilation with a VC++ Express 2008 tweaked to support 64 bits compilation (which seems to cause some trouble with CMake commands...). It should work out of the box with Visual Studio 2008. Modify "configure.bat" and set GENERATOR="Visual Studio 9 2008 Win64" Then, follow the same installation process as for XP_32 bits. ** Other Windows and Visual Studio / Visual C++ Express versions have not been tested yet, but it should not be so much different. We appreciate feedback and would love to include contributions to this project and documentation. ================================================================================ Examples ================================================================================ To show how to use OpenNL, we put two examples in the examples sub-directory: - mmtx : a basic program who loads a sparse matrix A from a file .mtx (Matrix Market format[2]), generates a random right hand side b and solves the corresponding linear system ( A x = b ) with OpenNL. Note that, if the matrix is not square or not symmetric, OpenNL will solve the least-squares systeme A'*A x = A'*b - parameterize : this example implements the lscm [3] algorithm using OpenNL to solve the linear least-squares problem. For the mmtx example, the syntax is the following, mmtx - solver_type must belong to { CG | BICGSTAB | GMRES | SUPERLU |FLOAT_CRS | DOUBLE_CRS | FLOAT_BCRS2 | DOUBLE_BCRS2 | FLOAT_ELL | DOUBLE_ELL | FLOAT_HYB | DOUBLE_HYB } - max_iterations is the maximal number of iterations - precision is the error bound precision for the ratio |Ax-b|/|b| with the euclidean norm |.| - input_file is the name of the file containing the matrix and possibly the rhs For the parameterize example (lscm_NL) parameterize - solver_type is the same as the previous example - input_file is the name of the file containing the input object (.obj) - output_file is the name of the output file (.obj) You can download additional data sets at http://alice.loria.fr/software/OpenNL/ and uncompress them in /examples/DATA ================================================================================ Known bugs ================================================================================ - For the 8800 GPU architecture, FLOAT_HYB and DOUBLE_HYB solvers may encounter some problems. Use it only if you have a nvidia GPU architecture >=1.1! - On some plateforms (win64 with VC++Express tweaked for 64bit compilation), the option CNC_OPTIMIZE_FOR_THIS_MACHINE must not be set. - On some plateforms, configuring sometimes outputs a segfault of CMake, but the build seems to work fine anyway. ================================================================================ References ================================================================================ [1] Implementing Sparse Matrix-Vector Multiplication on Throughput-Oriented Processors Nathan Bell and Michael Garland Proc. Supercomputing '09", November 2009, [2] “Least Squares Conformal Maps for Automatic Texture Atlas Generation” Bruno Lévy, Sylvain Petitjean, Nicolas Ray and Jérome Maillot ACM SIGGRAPH conference proceedings, 2002 [3] http://math.nist.gov/MatrixMarket/ [4] “Concurrent number cruncher - A GPU implementation of a general sparse linear solver” Luc Buatois, Guillaume Caumon and Bruno Levy International Journal of Parallel, Emergent and Distributed Systems octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/doc/LICENSE.txt0000644001356000007640000000275313673436411023344 0ustar fangqadminCopyright (c) 2004-2010, Bruno Levy All rights reserved. Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: * Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. * Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution. * Neither the name of the ALICE Project-Team nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission. THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/doc/User_Guide.txt0000644001356000007640000001700313673436411024307 0ustar fangqadminUser's guide ============ No user guide for the moment, sorry about that. Please have a look at the example programs and at the short note below. OpenNL is a state machine, i.e. its functions need to be called in a specific order (for instance, you cannot query the solution of a linear problem before having solved it). The functions nlBegin() and nlEnd() control the transitions between the different states. To make debugging easier, OpenNL provides an assertion checking mechanism, that stops the program if the calling sequence is not respected. Here is list of OpenNL functions, presented in an order corresponding to a typical scenario (see also main.cpp for an example) Basic functions --------------- nlNewContext() ; void nlSolverParameteri(NL_NB_VARIABLES, NLint number_of_variables) ; specifies the total number of variables. Note: some variables can be transformed into constants (see nlLockVariable()) void nlSolverParameteri(NL_SOLVER, NLenum solver) ; where solver is one of NL_BICGSTAB (default), NL_CG, NL_GMRES, or one of the solvers from the plugins (see nl.h for the complete list). void nlSolverParameteri(NL_LEAST_SQUARES, NLboolean least_squares) ; where least_squares is one of NL_FALSE (default), NL_TRUE. Note : you can use that parameter when you problem is not square, OpenNL will solve the system A'*A x = A'*b void nlSolverParameteri(NL_MAX_ITERATIONS, NLint max_iterations) ; where max_iterations is the maximum number of iterations used by the solver (default = 100) void nlSolverParameterd(NL_THRESHOLD, NLdouble threshold) ; convergence is reached when ||A.x - b || / || b || < threshold void nlBegin(NL_SYSTEM) ; void nlSetVariable(NLuint variable_index, NLdouble variable_value) ; sets the initial value of the variable (used by iterative solvers, and by locked variables) void nlLockVariable(NLuint variable_index) ; locks the specified variables (i.e. transforms it into a constant). It means that the solver puts this variable in the right-hand-side (this is done automatically) void nlUnlockVariable(NLuint variable_index) ; unlocks the specified variable (i.e. you can change your mind before calling nlBegin(NL_MATRIX)). NLboolean nlVariableIsLocked(NLuint variable_index) ; void nlBegin(NL_MATRIX) ; void nlRowParameterd(NL_RIGHT_HAND_SIZE, NLdouble rhs) ; specifies the right hand side for the next row (default value is 0.0) void nlRowParameterd(NL_ROW_SCALING, NLdouble w) ; all coefficients of the next row (including the right hand side) will be multiplied by w (default is 1.0) NOTE: nlRowParameterd() is only set for the next row (i.e. nlEnd(NL_ROW) resets row parameters to their default values). void nlBegin(NL_ROW) ; nlCoefficient(NLuint variable_index, NLdouble coefficient) ; * Adds a coefficient to the current row of the matrix. * In least-squares mode, it constructs the matrix A^t.A * Coefficients corresponding to locked variables are substracted by the row's right-hand-side (in least-squares mode, something slightly more complicated is done). void nlEnd(NL_ROW) ; void nlEnd(NL_MATRIX) ; nlEnd(NL_SYSTEM) ; nlSolve() ; NLdouble nlGetVariable(NLuint variable_index) ; nlDeleteContext(nlGetCurrent()) ; Advanced functions ------------------ void nlSolverParameteri(NL_PRECONDITIONER, NLenum precond) ; where precond is one of NL_PRECOND_NONE (default), NL_PRECOND_JACOBI, NL_PRECOND_SSOR can be called before nlBegin(NL_SYSTEM) NLboolean nlInitExtension(char* extension_name) ; Attemps to initialize an OpenNL extension. Returns NL_TRUE on success. Existing OpenNL extensions are: "SUPERLU" (faster solver than built-in OpenNL solvers) If nlInitExtension("SUPERLU") succeeds, nlSolverParameteri(NL_SOLVER, superlu_solver) can be called, where superlu_solver is one of NL_SUPERLU_EXT : plain SuperNodal solver NL_PERM_SUPERLU_EXT : SuperNodal solver with permutation matrix (I recommand this one) NL_SYMMETRIC_SUPERLU_EXT : SuperNodal solver in symmetric mode (can speed-up computations on some matrices) void nlEnable(NL_NORMALIZE_ROWS) ; If set, the coefficients of each row k (included the right-hand-side bk) are divided by sqrt(sum(aki^2)). Row scaling is subsequently applied (see nlRowParameterd()). void nlGetBooleanv(nlEnum, nlBoolean*) void nlGetIntergerv(nlEnum, nlInt*) void nlGetDoublev(nlEnum, nlDouble*) nlBoolean nlIsEnabled(nlEnum) Queries OpenNL's state. Note : as an example you can retrieve the Elapsed Solving Time by nlGetDoublev(NL_ELAPSED_TIME, &time) ; or the number of used iterations by nlGetIntergerv(NL_USED_ITERATIONS, &iterations); NLContext nlNewContext() ; nlMakeCurrent(NLContext) ; nlDeleteContext(NLContext) ; NLContext nlMakeCurrent() ; Some programs may need to construct and solve multiple systems, in an interleaved way. These functions make it possible to manage multiple OpenNL contexts. CNC Plugin ----------- Here are some information about the CNC plugin: - solver_type: The name of the CNC solver identifiers when used in nlSolverParameteri(NL_SOLVER, NLenum solver) are constructed this way: NL_CNC__ The types are FLOAT or DOUBLE. Solver formats are CRS, BRCS2, ELL and HYB. * CRS format corresponds to the Compress Row Storage format which is use by programs such as matlab. Unfortunately, this format is not very efficient using GPU programming due to the acces in global which are not contiguous. * BCRS2 is a version of the previous format using 2x2 blocks of non-zero data. Sometimes is as efficient as the ELL format. * ELL is a format where there is a fixed number of nonzero entries by row; thus, if in a row there are less than this fix number, zero are padded to complete the row. Therefore, there is a contiguous acces in global memory, the GPU kernel is very often the best. * HYB is a format combining two formats : ELL for the main part of the matrix and a internal COO (coordinate sparse format) format. The number of non-zero entries per row for COO is computed to maximize the portion of the matrix that will be treated with ELL while minimizing the number of zeroes added as padding. On rows with too many elements, the exceeding ones are treated separately with the COO format. For very large problems and for matrices with a few rows with a quite bigger number of non-zero entries than the others, it can converge faster than the other alternatives. About using FLOAT solvers : - OpenNL was programmed in C, and the floating precision is double by default. So If your using a float solver, the precision is double, but computations in CNC plugin are done in float, so you can obtain a result with an error greater than requested. - due to rounding errors, the FLOAT solvers need more iterations to converge. octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/doc/README.txt0000644001356000007640000000214013673436411023205 0ustar fangqadmin --------------------- Open Numerical Library 3.2 ------------------------- General information =================== This is OpenNL, a library to easily construct and solve sparse linear systems. * OpenNL is supplied with a set of built-in iterative solvers (Conjugate gradient, BICGSTAB, GMRes) and preconditioners (Jacobi, SSOR). * OpenNL can also use other solvers (SuperLU 4.0 is supported as an OpenNL extension, CNC can be enabled on compatible hardware, MUMPS will be supported in a future version) To install OpenNL please look at the INSTALL.txt The OpenNL API is described in User_Guide.txt See http://alice.loria.fr/software/OpenNL/ for information and additional example data sets. Changelog: 3.2 (Sept. 2010) (fix) - Added some missing documentation 3.1 (Sept. 2010) - CNC: support for CUDA 2.0 capabilities, compatibility with Fermi-specific features 3.0 (Feb. 2010) - added CNC, with CRS, BCRS2, ELL, Hybrid(ELL+COO) kernels, in simple and double precision versions - uses CMake Contributors: Bruno LEVY Luc BUATOIS Marc FUENTES Thomas JOST Nicolas SAUGNIER octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/configure.bat0000644001356000007640000000320713673436411023420 0ustar fangqadminecho OFF rem GENERATOR is the tool you want to compile the sources with. See below for possible targets. set GENERATOR="Visual Studio 9 2008" rem set here the path to your installation of CMake. set CMAKE_PATH="C:\Program Files (x86)\CMake 2.8" rem Possible values for the generator (-G) are as follow. Ues the one suitable for you rem rem "Borland Makefiles" rem "MSYS Makefiles" rem "MinGW Makefiles" rem "NMake Makefiles" rem "Unix Makefiles" rem "Visual Studio 6" rem "Visual Studio 7" rem "Visual Studio 7 .NET 2003" rem "Visual Studio 8 2005" rem "Visual Studio 8 2005 Win64" rem "Visual Studio 9 2008" rem "Visual Studio 9 2008 Win64" rem "Visual Studio 10" rem "Visual Studio 10 Win64" rem "Watcom WMake" rem "CodeBlocks - MinGW Makefiles" rem "CodeBlocks - NMake Makefiles" rem "CodeBlocks - Unix Makefiles" rem "Eclipse CDT4 - MinGW Makefiles" rem "Eclipse CDT4 - NMake Makefiles" rem "Eclipse CDT4 - Unix Makefiles" rem ***************************************************************************** rem Creating directories if they are missing if NOT EXIST build ( echo creating build directory... md build ) if NOT EXIST build\Windows ( echo creating build\Windows directory... md build\Windows ) chdir build\Windows\ echo ***** Creating %GENERATOR% project ***** rem Reg QUERY "HKLM\SOFTWARE\Wow6432Node\Kitware\Cmake 2.6.1" /ve rem for /f "tokens=2* delims= " %%i in ('reg query "HKLM\SOFTWARE\Wow6432Node\Kitware\Cmake 2.6.1" /ve') do ( rem set CMAKE_PATH=%%j rem ) rem echo CMake found at %CMAKE_PATH% %CMAKE_PATH%\bin\cmake.exe -G %GENERATOR% ..\..\ pause octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/examples/0000755001356000007640000000000013673436411022563 5ustar fangqadminoctave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/examples/lscm_NL/0000755001356000007640000000000013673436411024112 5ustar fangqadminoctave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/examples/lscm_NL/lscm_with_c_api.cpp0000644001356000007640000004677313673436411027763 0ustar fangqadmin/* * Copyright (c) 2004-2010, Bruno Levy * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * * Redistributions of source code must retain the above copyright notice, * this list of conditions and the following disclaimer. * * Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * Neither the name of the ALICE Project-Team nor the names of its * contributors may be used to endorse or promote products derived from this * software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * * If you modify this software, you should include a notice giving the * name of the person performing the modification, the date of modification, * and the reason for such modification. * * Contact: Bruno Levy * * levy@loria.fr * * ALICE Project * LORIA, INRIA Lorraine, * Campus Scientifique, BP 239 * 54506 VANDOEUVRE LES NANCY CEDEX * FRANCE * */ #include #include #include #include #include #include #include #include #include #include #include char* type_solver; /*************************************************************************************/ /* Basic functions */ template inline T nl_min(T x, T y) { return x < y ? x : y ; } template inline T nl_max(T x, T y) { return x > y ? x : y ; } /*************************************************************************************/ /* Basic geometric types */ class Vector2 { public: Vector2(double x_in, double y_in) : x(x_in), y(y_in) { } Vector2() : x(0), y(0) { } double x ; double y ; } ; class Vector3 { public: Vector3(double x_in, double y_in, double z_in) : x(x_in), y(y_in), z(z_in) { } Vector3() : x(0), y(0), z(0) { } double length() const { return sqrt(x*x + y*y + z*z) ; } void normalize() { double l = length() ; x /= l ; y /= l ; z /= l ; } double x ; double y ; double z ; } ; // I/O std::ostream& operator<<(std::ostream& out, const Vector2& v) { return out << v.x << " " << v.y ; } std::ostream& operator<<(std::ostream& out, const Vector3& v) { return out << v.x << " " << v.y << " " << v.z ; } std::istream& operator>>(std::istream& in, Vector2& v) { return in >> v.x >> v.y ; } std::istream& operator>>(std::istream& in, Vector3& v) { return in >> v.x >> v.y >> v.z ; } /* dot product */ double operator*(const Vector3& v1, const Vector3& v2) { return v1.x * v2.x + v1.y * v2.y + v1.z * v2.z ; } /* cross product */ Vector3 operator^(const Vector3& v1, const Vector3& v2) { return Vector3( v1.y*v2.z - v2.y*v1.z, v1.z*v2.x - v2.z*v1.x, v1.x*v2.y - v2.x*v1.y ) ; } Vector3 operator+(const Vector3& v1, const Vector3& v2) { return Vector3( v1.x + v2.x, v1.y + v2.y, v1.z + v2.z ) ; } Vector3 operator-(const Vector3& v1, const Vector3& v2) { return Vector3( v1.x - v2.x, v1.y - v2.y, v1.z - v2.z ) ; } Vector2 operator+(const Vector2& v1, const Vector2& v2) { return Vector2( v1.x + v2.x, v1.y + v2.y ) ; } Vector2 operator-(const Vector2& v1, const Vector2& v2) { return Vector2( v1.x - v2.x, v1.y - v2.y ) ; } /***********************************************************************************/ /* Mesh class */ // Note1: this is a minimum mesh class, it does not have facet adjacency information // (we do not need it for LSCM). This is just like an Inventor indexed face set. // // Note2: load() and save() use Alias|Wavefront .obj file format class Vertex { public: Vertex() : locked(false), id(-1) { } Vertex( const Vector3& p, const Vector2& t ) : point(p), tex_coord(t), locked(false), id(-1) { } Vector3 point ; Vector2 tex_coord ; bool locked ; int id ; } ; class Facet : public std::vector { public: } ; class IndexedMesh { public: IndexedMesh() : in_facet(false) { } Vertex* add_vertex() { vertex.push_back(Vertex()) ; vertex.rbegin()->id = vertex.size() - 1 ; return &*(vertex.rbegin()) ; } Vertex* add_vertex(const Vector3& p, const Vector2& t) { vertex.push_back(Vertex(p,t)) ; vertex.rbegin()->id = vertex.size() - 1 ; return &*(vertex.rbegin()) ; } void begin_facet() { assert(!in_facet) ; facet.push_back(Facet()) ; in_facet = true ; } void end_facet() { assert(in_facet) ; in_facet = false ; } void add_vertex_to_facet(unsigned int i) { assert(in_facet) ; assert(i < vertex.size()) ; facet.rbegin()->push_back(i) ; } void clear() { vertex.clear() ; facet.clear() ; } void load(const std::string& file_name) { std::ifstream input(file_name.c_str()) ; clear() ; while(input) { char line[1024] ; input.getline(line, 1024) ; std::stringstream line_input(line) ; std::string keyword ; line_input >> keyword ; if(keyword == "v") { Vector3 p ; line_input >> p ; add_vertex(p,Vector2(0,0)) ; } else if(keyword == "vt") { // Ignore tex vertices } else if(keyword == "f") { begin_facet() ; while(line_input) { std::string s ; line_input >> s ; if(s.length() > 0) { std::stringstream v_input(s.c_str()) ; int index ; v_input >> index ; add_vertex_to_facet(index - 1) ; char c ; v_input >> c ; if(c == '/') { v_input >> index ; // Ignore tex vertex index } } } end_facet() ; } } std::cout << "Loaded " << vertex.size() << " vertices and " << facet.size() << " facets" << std::endl ; } void save(const std::string& file_name) { unsigned int i,j ; std::ofstream out(file_name.c_str()) ; for(i=0; i vertex ; std::vector facet ; bool in_facet ; } ; class LSCM { public: LSCM(IndexedMesh& m) : mesh_(&m) { } // Outline of the algorithm: // 1) Find an initial solution by projecting on a plane // 2) Lock two vertices of the mesh // 3) Copy the initial u,v coordinates to OpenNL // 3) Construct the LSCM equation with OpenNL // 4) Solve the equation with OpenNL // 5) Copy OpenNL solution to the u,v coordinates void apply() { int nb_vertices = mesh_->vertex.size() ; project() ; nlNewContext() ; std::cout << type_solver << std::endl; if (!strcmp(type_solver,"CG")) { nlSolverParameteri(NL_SOLVER, NL_CG) ; nlSolverParameteri(NL_PRECONDITIONER, NL_PRECOND_JACOBI) ; } else if (!strcmp(type_solver,"BICGSTAB")) { nlSolverParameteri(NL_SOLVER, NL_BICGSTAB) ; nlSolverParameteri(NL_PRECONDITIONER, NL_PRECOND_JACOBI) ; } else if (!strcmp(type_solver,"GMRES")) { nlSolverParameteri(NL_SOLVER, NL_GMRES) ; } else if (!strcmp(type_solver,"SUPERLU")) { if(nlInitExtension("SUPERLU")) { nlSolverParameteri(NL_SOLVER, NL_PERM_SUPERLU_EXT) ; } else { std::cerr << "OpenNL has not been compiled with SuperLU support." << std::endl; exit(-1); } }else if( !strcmp(type_solver,"FLOAT_CRS") || !strcmp(type_solver,"DOUBLE_CRS") || !strcmp(type_solver,"FLOAT_BCRS2") || !strcmp(type_solver,"DOUBLE_BCRS2") || !strcmp(type_solver,"FLOAT_ELL") || !strcmp(type_solver,"DOUBLE_ELL") || !strcmp(type_solver,"FLOAT_HYB") || !strcmp(type_solver,"DOUBLE_HYB") ) { if(nlInitExtension("CNC")) { if (!strcmp(type_solver,"FLOAT_CRS")) { nlSolverParameteri(NL_SOLVER, NL_CNC_FLOAT_CRS) ; nlSolverParameteri(NL_PRECONDITIONER, NL_PRECOND_JACOBI) ; } else if (!strcmp(type_solver,"DOUBLE_CRS")) { nlSolverParameteri(NL_SOLVER, NL_CNC_DOUBLE_CRS) ; nlSolverParameteri(NL_PRECONDITIONER, NL_PRECOND_JACOBI) ; } else if (!strcmp(type_solver,"FLOAT_BCRS2")) { nlSolverParameteri(NL_SOLVER, NL_CNC_FLOAT_BCRS2) ; nlSolverParameteri(NL_PRECONDITIONER, NL_PRECOND_JACOBI) ; } else if (!strcmp(type_solver,"DOUBLE_BCRS2")) { nlSolverParameteri(NL_SOLVER, NL_CNC_DOUBLE_BCRS2) ; nlSolverParameteri(NL_PRECONDITIONER, NL_PRECOND_JACOBI) ; } else if (!strcmp(type_solver,"FLOAT_ELL")) { nlSolverParameteri(NL_SOLVER, NL_CNC_FLOAT_ELL) ; nlSolverParameteri(NL_PRECONDITIONER, NL_PRECOND_JACOBI) ; } else if (!strcmp(type_solver,"DOUBLE_ELL")) { nlSolverParameteri(NL_SOLVER, NL_CNC_DOUBLE_ELL) ; nlSolverParameteri(NL_PRECONDITIONER, NL_PRECOND_JACOBI) ; } else if (!strcmp(type_solver,"FLOAT_HYB")) { nlSolverParameteri(NL_SOLVER, NL_CNC_FLOAT_HYB) ; nlSolverParameteri(NL_PRECONDITIONER, NL_PRECOND_JACOBI) ; } else if (!strcmp(type_solver,"DOUBLE_HYB")) { nlSolverParameteri(NL_SOLVER, NL_CNC_DOUBLE_HYB) ; nlSolverParameteri(NL_PRECONDITIONER, NL_PRECOND_JACOBI) ; } } else { std::cerr << "OpenNL has not been compiled with CNC support." << std::endl; exit(-1); } } else { std::cerr << "type_solver must belong to { CG | BICGSTAB | GMRES | " << "SUPERLU | FLOAT_CRS | FLOAT_BCRS2 | DOUBLE_CRS | " << "DOUBLE_BCRS2 | FLOAT_ELL | DOUBLE_ELL | FLOAT_HYB |" << "DOUBLE_HYB } " << std::endl; exit(-1); } nlSolverParameteri(NL_NB_VARIABLES, 2*nb_vertices) ; nlSolverParameteri(NL_LEAST_SQUARES, NL_TRUE) ; nlSolverParameteri(NL_MAX_ITERATIONS, 5*nb_vertices) ; nlSolverParameterd(NL_THRESHOLD, 1e-10) ; nlBegin(NL_SYSTEM) ; mesh_to_solver() ; nlBegin(NL_MATRIX) ; setup_lscm() ; nlEnd(NL_MATRIX) ; nlEnd(NL_SYSTEM) ; std::cout << "Solving ..." << std::endl ; nlSolve() ; solver_to_mesh() ; double time ; NLint iterations; nlGetDoublev(NL_ELAPSED_TIME, &time) ; nlGetIntergerv(NL_USED_ITERATIONS, &iterations); std::cout << "Solver time: " << time << std::endl ; std::cout << "Used iterations: " << iterations << std::endl ; nlDeleteContext(nlGetCurrent()) ; } protected: void setup_lscm() { for(unsigned int i=0; ifacet.size(); i++) { const Facet& F = mesh_->facet[i] ; setup_lscm(F) ; } } // Note: no-need to triangulate the facet, // we can do that "virtually", by creating triangles // radiating around vertex 0 of the facet. // (however, this may be invalid for concave facets) void setup_lscm(const Facet& F) { for(unsigned int i=1; i < F.size() - 1; i++) { setup_conformal_map_relations( mesh_->vertex[F[0]], mesh_->vertex[F[i]], mesh_->vertex[F[i+1]] ) ; } } // Computes the coordinates of the vertices of a triangle // in a local 2D orthonormal basis of the triangle's plane. static void project_triangle( const Vector3& p0, const Vector3& p1, const Vector3& p2, Vector2& z0, Vector2& z1, Vector2& z2 ) { Vector3 X = p1 - p0 ; X.normalize() ; Vector3 Z = X ^ (p2 - p0) ; Z.normalize() ; Vector3 Y = Z ^ X ; const Vector3& O = p0 ; double x0 = 0 ; double y0 = 0 ; double x1 = (p1 - O).length() ; double y1 = 0 ; double x2 = (p2 - O) * X ; double y2 = (p2 - O) * Y ; z0 = Vector2(x0,y0) ; z1 = Vector2(x1,y1) ; z2 = Vector2(x2,y2) ; } // LSCM equation, geometric form : // (Z1 - Z0)(U2 - U0) = (Z2 - Z0)(U1 - U0) // Where Uk = uk + i.vk is the complex number // corresponding to (u,v) coords // Zk = xk + i.yk is the complex number // corresponding to local (x,y) coords // cool: no divide with this expression, // makes it more numerically stable in // the presence of degenerate triangles. void setup_conformal_map_relations( const Vertex& v0, const Vertex& v1, const Vertex& v2 ) { int id0 = v0.id ; int id1 = v1.id ; int id2 = v2.id ; const Vector3& p0 = v0.point ; const Vector3& p1 = v1.point ; const Vector3& p2 = v2.point ; Vector2 z0,z1,z2 ; project_triangle(p0,p1,p2,z0,z1,z2) ; Vector2 z01 = z1 - z0 ; Vector2 z02 = z2 - z0 ; double a = z01.x ; double b = z01.y ; double c = z02.x ; double d = z02.y ; assert(b == 0.0) ; // Note : 2*id + 0 --> u // 2*id + 1 --> v int u0_id = 2*id0 ; int v0_id = 2*id0 + 1 ; int u1_id = 2*id1 ; int v1_id = 2*id1 + 1 ; int u2_id = 2*id2 ; int v2_id = 2*id2 + 1 ; // Note : b = 0 // Real part nlBegin(NL_ROW) ; nlCoefficient(u0_id, -a+c) ; nlCoefficient(v0_id, b-d) ; nlCoefficient(u1_id, -c) ; nlCoefficient(v1_id, d) ; nlCoefficient(u2_id, a) ; nlEnd(NL_ROW) ; // Imaginary part nlBegin(NL_ROW) ; nlCoefficient(u0_id, -b+d) ; nlCoefficient(v0_id, -a+c) ; nlCoefficient(u1_id, -d) ; nlCoefficient(v1_id, -c) ; nlCoefficient(v2_id, a) ; nlEnd(NL_ROW) ; } /** * copies u,v coordinates from OpenNL solver to the mesh. */ void solver_to_mesh() { for(unsigned int i=0; ivertex.size(); i++) { Vertex& it = mesh_->vertex[i] ; double u = nlGetVariable(2 * it.id ) ; double v = nlGetVariable(2 * it.id + 1) ; it.tex_coord = Vector2(u,v) ; } } /** * copies u,v coordinates from the mesh to OpenNL solver. */ void mesh_to_solver() { for(unsigned int i=0; ivertex.size(); i++) { Vertex& it = mesh_->vertex[i] ; double u = it.tex_coord.x ; double v = it.tex_coord.y ; nlSetVariable(2 * it.id , u) ; nlSetVariable(2 * it.id + 1, v) ; if(it.locked) { nlLockVariable(2 * it.id ) ; nlLockVariable(2 * it.id + 1) ; } } } // Chooses an initial solution, and locks two vertices void project() { // Get bbox unsigned int i ; double xmin = 1e30 ; double ymin = 1e30 ; double zmin = 1e30 ; double xmax = -1e30 ; double ymax = -1e30 ; double zmax = -1e30 ; for(i=0; ivertex.size(); i++) { const Vertex& v = mesh_->vertex[i] ; xmin = nl_min(v.point.x, xmin) ; ymin = nl_min(v.point.y, xmin) ; zmin = nl_min(v.point.z, xmin) ; xmax = nl_max(v.point.x, xmin) ; ymax = nl_max(v.point.y, xmin) ; zmax = nl_max(v.point.z, xmin) ; } double dx = xmax - xmin ; double dy = ymax - ymin ; double dz = zmax - zmin ; Vector3 V1,V2 ; // Find shortest bbox axis if(dx < dy && dx < dz) { if(dy > dz) { V1 = Vector3(0,1,0) ; V2 = Vector3(0,0,1) ; } else { V2 = Vector3(0,1,0) ; V1 = Vector3(0,0,1) ; } } else if(dy < dx && dy < dz) { if(dx > dz) { V1 = Vector3(1,0,0) ; V2 = Vector3(0,0,1) ; } else { V2 = Vector3(1,0,0) ; V1 = Vector3(0,0,1) ; } } else if(dz < dx && dz < dy) { if(dx > dy) { V1 = Vector3(1,0,0) ; V2 = Vector3(0,1,0) ; } else { V2 = Vector3(1,0,0) ; V1 = Vector3(0,1,0) ; } } // Project onto shortest bbox axis, // and lock extrema vertices Vertex* vxmin = NULL ; double umin = 1e30 ; Vertex* vxmax = NULL ; double umax = -1e30 ; for(i=0; ivertex.size(); i++) { Vertex& V = mesh_->vertex[i] ; double u = V.point * V1 ; double v = V.point * V2 ; V.tex_coord = Vector2(u,v) ; if(u < umin) { vxmin = &V ; umin = u ; } if(u > umax) { vxmax = &V ; umax = u ; } } vxmin->locked = true ; vxmax->locked = true ; } IndexedMesh* mesh_ ; } ; int main(int argc, char** argv) { if(argc != 4) { std::cerr << "usage: " << argv[0] << " type_solver infile.obj outfile.obj" << std::endl ; return -1 ; } type_solver = argv[1]; IndexedMesh mesh ; std::cout << "Loading ..." << std::endl ; mesh.load(argv[2]) ; LSCM lscm(mesh) ; lscm.apply() ; std::cout << "Saving ..." << std::endl ; mesh.save(argv[3]) ; } octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/examples/lscm_NL/CMakeLists.txt0000644001356000007640000000056613673436411026661 0ustar fangqadmin IF(USE_SUPERLU) LINK_DIRECTORIES(${SUPERLU_HOME}/lib/) ENDIF(USE_SUPERLU) ADD_EXECUTABLE(parameterize lscm_with_c_api ) ADD_DEPENDENCIES(parameterize nl) TARGET_LINK_LIBRARIES(parameterize nl) IF(USE_ATLAS) TARGET_LINK_LIBRARIES(parameterize blas) ENDIF(USE_ATLAS) IF(USE_SUPERLU) TARGET_LINK_LIBRARIES(parameterize ${SUPERLU_NAME} blas) ENDIF(USE_SUPERLU) octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/examples/DATA/0000755001356000007640000000000013673436411023274 5ustar fangqadminoctave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/examples/DATA/girl_face.obj0000644001356000007640000015704413673436411025716 0ustar fangqadminv -0.127072 0.342403 -0.146946 v -0.137739 0.318025 -0.138378 v -0.177792 0.357181 -0.131208 v -0.191948 0.336173 -0.151968 v -0.132216 0.307086 -0.101002 v -0.192189 0.310041 -0.136764 v -0.271779 0.381913 -0.141892 v -0.273026 0.370382 -0.149327 v -0.359052 0.406627 -0.10939 v -0.355958 0.376428 -0.105132 v -0.465785 0.383006 0.000168207 v -0.455315 0.359878 0.00724778 v -0.359087 0.365199 -0.0889703 v -0.492795 0.351432 0.101781 v -0.483446 0.343159 0.0932612 v -0.515075 0.300258 0.16823 v -0.442055 0.355047 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1978/16389 f 20681/16560 40628/16561 20680/16562 10083/16563 f 20682/16564 40628/16561 20681/16560 10085/16565 f 20683/16566 40628/16561 20682/16564 10084/16567 f 20680/16562 40628/16561 20683/16566 2000/16568 f 20685/16569 40629/16570 20684/16571 10086/16572 f 20686/16573 40629/16570 20685/16569 10089/16574 f 20687/16575 40629/16570 20686/16573 10088/16576 f 20684/16571 40629/16570 20687/16575 2001/16577 f 20689/16578 40630/16579 20688/16580 5194/16581 f 20690/16582 40630/16579 20689/16578 10090/16583 f 20691/16584 40630/16579 20690/16582 10064/16585 f 20688/16580 40630/16579 20691/16584 1990/16484 f 20693/16586 40631/16587 20692/16588 10091/16589 f 20694/16590 40631/16587 20693/16586 10092/16591 f 20695/16592 40631/16587 20694/16590 5177/3381 f 20692/16588 40631/16587 20695/16592 1991/16493 f 20697/16593 40632/16594 20696/16595 10093/16596 f 20698/16597 40632/16594 20697/16593 10094/16598 f 20699/16599 40632/16594 20698/16597 5225/3464 f 20696/16595 40632/16594 20699/16599 2003/16600 f 20701/16601 40633/16602 20700/16603 5199/16604 f 20702/16605 40633/16602 20701/16601 10097/16606 f 20703/16607 40633/16602 20702/16605 10096/16608 f 20700/16603 40633/16602 20703/16607 2004/16609 f 20705/16610 40634/16611 20704/16612 10098/16613 f 20706/16614 40634/16611 20705/16610 10100/16615 f 20707/16616 40634/16611 20706/16614 5182/3390 f 20704/16612 40634/16611 20707/16616 1995/16518 f 20709/16617 40635/16618 20708/16619 10101/16620 f 20710/16621 40635/16618 20709/16617 10103/16622 f 20711/16623 40635/16618 20710/16621 10102/16624 f 20708/16619 40635/16618 20711/16623 2007/16625 f 20713/16626 40636/16627 20712/16628 5204/16629 f 20714/16630 40636/16627 20713/16626 10105/16631 f 20715/16632 40636/16627 20714/16630 10104/16633 f 20712/16628 40636/16627 20715/16632 2008/16634 f 20717/16635 40637/16636 20716/16637 10106/16638 f 20718/16639 40637/16636 20717/16635 10108/16640 f 20719/16641 40637/16636 20718/16639 10107/16642 f 20716/16637 40637/16636 20719/16641 2010/16643 f 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43023/31098 27926/31100 1962/31102 f 27925/31099 43023/31098 27927/31101 5124/16242 f 27925/31099 43024/31103 14426/3289 5126/3290 f 20528/16241 43024/31103 27925/31099 5124/16242 f 20407/15991 43024/31103 20528/16241 1931/15992 f 14426/3289 43024/31103 20407/15991 5125/3292 f 14429/3294 43025/31104 27928/31105 5131/3299 f 27929/31106 43025/31104 14429/3294 5127/3297 f 27930/31107 43025/31104 27929/31106 1963/23836 f 27928/31105 43025/31104 27930/31107 5128/31108 f 27928/31105 43026/31109 27931/31110 5131/3299 f 27932/31111 43026/31109 27928/31105 5128/31108 f 27933/31112 43026/31109 27932/31111 1965/31113 f 27931/31110 43026/31109 27933/31112 5129/16267 f 27931/31110 43027/31114 14430/3298 5131/3299 f 20540/16266 43027/31114 27931/31110 5129/16267 f 20463/16102 43027/31114 20540/16266 1944/16103 f 14430/3298 43027/31114 20463/16102 5130/3301 f 14433/3303 43028/31115 27934/31116 5136/3308 f 27935/31117 43028/31115 14433/3303 5132/3306 f 27936/31118 43028/31115 27935/31117 1966/16460 f 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20651/16500 5140/3319 f 14441/3321 43034/31137 27946/31138 5145/3326 f 27947/31139 43034/31137 14441/3321 5142/3324 f 27948/31140 43034/31137 27947/31139 1973/16527 f 27946/31138 43034/31137 27948/31140 5143/31141 f 27946/31138 43035/31142 27949/31143 5145/3326 f 27950/31144 43035/31142 27946/31138 5143/31141 f 27951/31145 43035/31142 27950/31144 1975/31146 f 27949/31143 43035/31142 27951/31145 5144/16344 f 27949/31143 43036/31147 14442/3325 5145/3326 f 20576/16343 43036/31147 27949/31143 5144/16344 f 27941/31128 43036/31147 20576/16343 1969/16349 f 14442/3325 43036/31147 27941/31128 5137/3315 f 14444/3327 43037/31148 27952/31149 5150/3332 f 27953/31150 43037/31148 14444/3327 5146/3330 f 27954/31151 43037/31148 27953/31150 1956/16204 f 27952/31149 43037/31148 27954/31151 5147/31152 f 27952/31149 43038/31153 27955/31154 5150/3332 f 27956/31155 43038/31153 27952/31149 5147/31152 f 27957/31156 43038/31153 27956/31155 1977/31157 f 27955/31154 43038/31153 27957/31156 5148/16368 f 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5160/3350 f 27969/31178 43044/31176 27965/31172 5157/31175 f 27970/31179 43044/31176 27969/31178 1982/31180 f 27968/31177 43044/31176 27970/31179 5158/16402 f 27968/31177 43045/31181 14453/3349 5160/3350 f 20604/16401 43045/31181 27968/31177 5158/16402 f 20523/16228 43045/31181 20604/16401 1960/16229 f 14453/3349 43045/31181 20523/16228 5159/3352 f 14456/3353 43046/31182 27971/31183 5164/3358 f 27972/31184 43046/31182 14456/3353 5161/3356 f 27973/31185 43046/31182 27972/31184 1961/16238 f 27971/31183 43046/31182 27973/31185 5162/31186 f 27971/31183 43047/31187 27974/31188 5164/3358 f 27975/31189 43047/31187 27971/31183 5162/31186 f 27976/31190 43047/31187 27975/31189 1984/31191 f 27974/31188 43047/31187 27976/31190 5163/16419 f 27974/31188 43048/31192 14457/3357 5164/3358 f 20612/16418 43048/31192 27974/31188 5163/16419 f 27870/30995 43048/31192 20612/16418 1934/16424 f 14457/3357 43048/31192 27870/30995 5079/3213 f 14459/3359 43049/31193 27977/31194 5168/3364 f 27978/31195 43049/31193 14459/3359 5165/3362 f 27979/31196 43049/31193 27978/31195 1935/16017 f 27977/31194 43049/31193 27979/31196 5166/31197 f 27977/31194 43050/31198 27980/31199 5168/3364 f 27981/31200 43050/31198 27977/31194 5166/31197 f 27982/31201 43050/31198 27981/31200 1986/31202 f 27980/31199 43050/31198 27982/31201 5167/16437 f 27980/31199 43051/31203 14460/3363 5168/3364 f 20620/16436 43051/31203 27980/31199 5167/16437 f 27876/31006 43051/31203 20620/16436 1937/16442 f 14460/3363 43051/31203 27876/31006 5084/3222 f 14462/3365 43052/31204 27983/31205 5173/3370 f 27984/31206 43052/31204 14462/3365 5169/3368 f 27985/31207 43052/31204 27984/31206 1987/24049 f 27983/31205 43052/31204 27985/31207 5170/31208 f 27983/31205 43053/31209 27986/31210 5173/3370 f 27987/31211 43053/31209 27983/31205 5170/31208 f 27988/31212 43053/31209 27987/31211 1989/31213 f 27986/31210 43053/31209 27988/31212 5171/16464 f 27986/31210 43054/31214 14463/3369 5173/3370 f 20632/16463 43054/31214 27986/31210 5171/16464 f 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1996/31235 f 27998/31232 43059/31231 28000/31234 5181/16513 f 27998/31232 43060/31236 14471/3387 5183/3388 f 20656/16512 43060/31236 27998/31232 5181/16513 f 20707/16616 43060/31236 20656/16512 1995/16518 f 14471/3387 43060/31236 20707/16616 5182/3390 f 14474/3392 43061/31237 28001/31238 5187/3397 f 28002/31239 43061/31237 14474/3392 5184/3395 f 28003/31240 43061/31237 28002/31239 1997/31241 f 28001/31238 43061/31237 28003/31240 5185/31242 f 28001/31238 43062/31243 28004/31244 5187/3397 f 28005/31245 43062/31243 28001/31238 5185/31242 f 28006/31246 43062/31243 28005/31245 1998/31247 f 28004/31244 43062/31243 28006/31246 5186/16531 f 28004/31244 43063/31248 14475/3396 5187/3397 f 20664/16530 43063/31248 28004/31244 5186/16531 f 27996/31228 43063/31248 20664/16530 1993/16536 f 14475/3396 43063/31248 27996/31228 5179/3386 f 14476/3398 43064/31249 28007/31250 5191/3401 f 27958/31159 43064/31249 14476/3398 5149/3334 f 28008/31251 43064/31249 27958/31159 1976/16373 f 28007/31250 43064/31249 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28112/31443 2051/31445 f 28111/31442 43116/31441 28113/31444 5270/16942 f 28111/31442 43117/31446 14541/3539 5272/3540 f 20860/16941 43117/31446 28111/31442 5270/16942 f 20903/17031 43117/31446 20860/16941 2050/16947 f 14541/3539 43117/31446 20903/17031 5271/3542 f 14544/3544 43118/31447 28114/31448 5277/3549 f 28115/31449 43118/31447 14544/3544 5273/3547 f 28116/31450 43118/31447 28115/31449 2041/31417 f 28114/31448 43118/31447 28116/31450 5274/31451 f 28114/31448 43119/31452 28117/31453 5277/3549 f 28118/31454 43119/31452 28114/31448 5274/31451 f 28119/31455 43119/31452 28118/31454 2054/31456 f 28117/31453 43119/31452 28119/31455 5275/16968 f 28117/31453 43120/31457 14545/3548 5277/3549 f 20872/16967 43120/31457 28117/31453 5275/16968 f 20847/16912 43120/31457 20872/16967 2045/16913 f 14545/3548 43120/31457 20847/16912 5276/3551 f 14548/3553 43121/31458 28120/31459 5282/3558 f 28121/31460 43121/31458 14548/3553 5278/3556 f 28122/31461 43121/31458 28121/31460 2049/16938 f 28120/31459 43121/31458 28122/31461 5279/31462 f 28120/31459 43122/31463 28123/31464 5282/3558 f 28124/31465 43122/31463 28120/31459 5279/31462 f 28125/31466 43122/31463 28124/31465 2057/31467 f 28123/31464 43122/31463 28125/31466 5280/16992 f 28123/31464 43123/31468 14549/3557 5282/3558 f 20884/16991 43123/31468 28123/31464 5280/16992 f 20951/17135 43123/31468 20884/16991 2056/16997 f 14549/3557 43123/31468 20951/17135 5281/3560 f 14552/3562 43124/31469 28126/31470 5287/3567 f 28127/31471 43124/31469 14552/3562 5283/3565 f 28128/31472 43124/31469 28127/31471 2058/17067 f 28126/31470 43124/31469 28128/31472 5284/31473 f 28126/31470 43125/31474 28129/31475 5287/3567 f 28130/31476 43125/31474 28126/31470 5284/31473 f 28131/31477 43125/31474 28130/31476 2060/31478 f 28129/31475 43125/31474 28131/31477 5285/17019 f 28129/31475 43126/31479 14553/3566 5287/3567 f 20896/17018 43126/31479 28129/31475 5285/17019 f 20927/17083 43126/31479 20896/17018 2059/17024 f 14553/3566 43126/31479 20927/17083 5286/3569 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5166/31197 f 20419/16015 47730/43495 27979/31196 1935/16017 f 34512/43496 47730/43495 20419/16015 9931/16016 f 34512/43496 47731/43497 20618/16429 10050/16430 f 34345/43175 47731/43497 34512/43496 9931/16016 f 34513/43498 47731/43497 34345/43175 409/43176 f 20618/16429 47731/43497 34513/43498 10049/16432 f 20621/16434 47732/43499 34514/43500 10052/16439 f 27982/31201 47732/43499 20621/16434 5167/16437 f 34511/43494 47732/43499 27982/31201 1986/31202 f 34514/43500 47732/43499 34511/43494 10048/16428 f 34514/43500 47733/43501 34515/43502 10052/16439 f 20616/16427 47733/43501 34514/43500 10048/16428 f 21559/18405 47733/43501 20616/16427 1985/16433 f 34515/43502 47733/43501 21559/18405 10051/18406 f 34515/43502 47734/43503 20622/16438 10052/16439 f 34516/43504 47734/43503 34515/43502 10051/18406 f 34354/43194 47734/43503 34516/43504 407/3200 f 20622/16438 47734/43503 34354/43194 9937/16441 f 20625/16443 47735/43505 34517/43506 10056/16448 f 34518/43507 47735/43505 20625/16443 10053/16446 f 27987/31211 47735/43505 34518/43507 1989/31213 f 34517/43506 47735/43505 27987/31211 5170/31208 f 34517/43506 47736/43508 34519/43509 10056/16448 f 27985/31207 47736/43508 34517/43506 5170/31208 f 24263/24047 47736/43508 27985/31207 1987/24049 f 34519/43509 47736/43508 24263/24047 10054/24048 f 34519/43509 47737/43510 20626/16447 10056/16448 f 34520/43511 47737/43510 34519/43509 10054/24048 f 34521/43512 47737/43510 34520/43511 422/43513 f 20626/16447 47737/43510 34521/43512 10055/16450 f 20629/16452 47738/43514 34522/43515 10058/16457 f 34523/43516 47738/43514 20629/16452 10057/16455 f 34518/43507 47738/43514 34523/43516 1989/31213 f 34522/43515 47738/43514 34518/43507 10053/16446 f 34522/43515 47739/43517 34524/43518 10058/16457 f 20624/16445 47739/43517 34522/43515 10053/16446 f 28013/31261 47739/43517 20624/16445 1988/16451 f 34524/43518 47739/43517 28013/31261 5192/3407 f 34524/43518 47740/43519 20630/16456 10058/16457 f 14479/3406 47740/43519 34524/43518 5192/3407 f 34451/43382 47740/43519 14479/3406 419/3412 f 20630/16456 47740/43519 34451/43382 10005/16459 f 20633/16461 47741/43520 34525/43521 10059/16466 f 27988/31212 47741/43520 20633/16461 5171/16464 f 34523/43516 47741/43520 27988/31212 1989/31213 f 34525/43521 47741/43520 34523/43516 10057/16455 f 34525/43521 47742/43522 34526/43523 10059/16466 f 20628/16454 47742/43522 34525/43521 10057/16455 f 27935/31117 47742/43522 20628/16454 1966/16460 f 34526/43523 47742/43522 27935/31117 5132/3306 f 34526/43523 47743/43524 20634/16465 10059/16466 f 14432/3305 47743/43524 34526/43523 5132/3306 f 34445/43370 47743/43524 14432/3305 411/3311 f 20634/16465 47743/43524 34445/43370 10001/16468 f 20637/16469 47744/43525 34527/43526 10061/16474 f 34528/43527 47744/43525 20637/16469 10060/16472 f 27993/31222 47744/43525 34528/43527 1992/31224 f 34527/43526 47744/43525 27993/31222 5175/31219 f 34527/43526 47745/43528 34529/43529 10061/16474 f 27991/31218 47745/43528 34527/43526 5175/31219 f 20563/16312 47745/43528 27991/31218 1970/16314 f 34529/43529 47745/43528 20563/16312 10016/16313 f 34529/43529 47746/43530 20638/16473 10061/16474 f 34466/43409 47746/43530 34529/43529 10016/16313 f 34456/43390 47746/43530 34466/43409 412/43281 f 20638/16473 47746/43530 34456/43390 10009/16476 f 20641/16477 47747/43531 34530/43532 10063/16482 f 34531/43533 47747/43531 20641/16477 10062/16480 f 34528/43527 47747/43531 34531/43533 1992/31224 f 34530/43532 47747/43531 34528/43527 10060/16472 f 34530/43532 47748/43534 34532/43535 10063/16482 f 20636/16471 47748/43534 34530/43532 10060/16472 f 20547/16278 47748/43534 20636/16471 1967/16280 f 34532/43535 47748/43534 20547/16278 10006/16279 f 34532/43535 47749/43536 20642/16481 10063/16482 f 34452/43383 47749/43536 34532/43535 10006/16279 f 14482/3410 47749/43536 34452/43383 419/3412 f 20642/16481 47749/43536 14482/3410 5195/3411 f 20645/16485 47750/43537 34533/43538 10066/16490 f 27994/31223 47750/43537 20645/16485 5176/16488 f 34531/43533 47750/43537 27994/31223 1992/31224 f 34533/43538 47750/43537 34531/43533 10062/16480 f 34533/43538 47751/43539 34534/43540 10066/16490 f 20640/16479 47751/43539 34533/43538 10062/16480 f 20691/16584 47751/43539 20640/16479 1990/16484 f 34534/43540 47751/43539 20691/16584 10064/16585 f 34534/43540 47752/43541 20646/16489 10066/16490 f 34535/43542 47752/43541 34534/43540 10064/16585 f 34536/43543 47752/43541 34535/43542 423/3465 f 20646/16489 47752/43541 34536/43543 10065/16492 f 20649/16494 47753/43544 34537/43545 10069/16499 f 34538/43546 47753/43544 20649/16494 10067/16497 f 27999/31233 47753/43544 34538/43546 1996/31235 f 34537/43545 47753/43544 27999/31233 5180/31230 f 34537/43545 47754/43547 34539/43548 10069/16499 f 27997/31229 47754/43547 34537/43545 5180/31230 f 20667/16534 47754/43547 27997/31229 1993/16536 f 34539/43548 47754/43547 20667/16534 10068/16535 f 34539/43548 47755/43549 20650/16498 10069/16499 f 34540/43550 47755/43549 34539/43548 10068/16535 f 14439/3318 47755/43549 34540/43550 420/3320 f 20650/16498 47755/43549 14439/3318 5140/3319 f 20653/16501 47756/43551 34541/43552 10072/16506 f 34542/43553 47756/43551 20653/16501 10070/16504 f 34538/43546 47756/43551 34542/43553 1996/31235 f 34541/43552 47756/43551 34538/43546 10067/16497 f 34541/43552 47757/43554 34543/43555 10072/16506 f 20648/16496 47757/43554 34541/43552 10067/16497 f 20567/16321 47757/43554 20648/16496 1971/16323 f 34543/43555 47757/43554 20567/16321 10018/16322 f 34543/43555 47758/43556 20654/16505 10072/16506 f 34469/43415 47758/43556 34543/43555 10018/16322 f 34544/43557 47758/43556 34469/43415 421/3382 f 20654/16505 47758/43556 34544/43557 10071/16508 f 20657/16510 47759/43558 34545/43559 10074/16515 f 28000/31234 47759/43558 20657/16510 5181/16513 f 34542/43553 47759/43558 28000/31234 1996/31235 f 34545/43559 47759/43558 34542/43553 10070/16504 f 34545/43559 47760/43560 34546/43561 10074/16515 f 20652/16503 47760/43560 34545/43559 10070/16504 f 28019/31272 47760/43560 20652/16503 1994/16509 f 34546/43561 47760/43560 28019/31272 5197/3416 f 34546/43561 47761/43562 20658/16514 10074/16515 f 14483/3415 47761/43562 34546/43561 5197/3416 f 34547/43563 47761/43562 14483/3415 425/3421 f 20658/16514 47761/43562 34547/43563 10073/16517 f 20661/16519 47762/43564 34548/43565 10076/16524 f 34549/43566 47762/43564 20661/16519 10075/16522 f 28005/31245 47762/43564 34549/43566 1998/31247 f 34548/43565 47762/43564 28005/31245 5185/31242 f 34548/43565 47763/43567 34550/43568 10076/16524 f 28003/31240 47763/43567 34548/43565 5185/31242 f 28031/31294 47763/43567 28003/31240 1997/31241 f 34550/43568 47763/43567 28031/31294 5207/3434 f 34550/43568 47764/43569 20662/16523 10076/16524 f 14491/3433 47764/43569 34550/43568 5207/3434 f 34473/43422 47764/43569 14491/3433 1/9 f 20662/16523 47764/43569 34473/43422 10021/16526 f 20665/16528 47765/43570 34551/43571 10077/16533 f 28006/31246 47765/43570 20665/16528 5186/16531 f 34549/43566 47765/43570 28006/31246 1998/31247 f 34551/43571 47765/43570 34549/43566 10075/16522 f 34551/43571 47766/43572 34552/43573 10077/16533 f 20660/16521 47766/43572 34551/43571 10075/16522 f 27947/31139 47766/43572 20660/16521 1973/16527 f 34552/43573 47766/43572 27947/31139 5142/3324 f 34552/43573 47767/43574 20666/16532 10077/16533 f 14440/3323 47767/43574 34552/43573 5142/3324 f 34540/43550 47767/43574 14440/3323 420/3320 f 20666/16532 47767/43574 34540/43550 10068/16535 f 20669/16537 47768/43575 34553/43576 10079/16542 f 34554/43577 47768/43575 20669/16537 10078/16540 f 28010/31255 47768/43575 34554/43577 1999/31257 f 34553/43576 47768/43575 28010/31255 5188/31252 f 34553/43576 47769/43578 34555/43579 10079/16542 f 28008/31251 47769/43578 34553/43576 5188/31252 f 20591/16371 47769/43578 28008/31251 1976/16373 f 34555/43579 47769/43578 20591/16371 10032/16372 f 34555/43579 47770/43580 20670/16541 10079/16542 f 34489/43453 47770/43580 34555/43579 10032/16372 f 12929/25 47770/43580 34489/43453 4/27 f 20670/16541 47770/43580 12929/25 3268/26 f 20673/16544 47771/43581 34556/43582 10081/16549 f 34557/43583 47771/43581 20673/16544 10080/16547 f 34554/43577 47771/43581 34557/43583 1999/31257 f 34556/43582 47771/43581 34554/43577 10078/16540 f 34556/43582 47772/43584 34558/43585 10081/16549 f 20668/16539 47772/43584 34556/43582 10078/16540 f 16236/7224 47772/43584 20668/16539 774/7226 f 34558/43585 47772/43584 16236/7224 7396/7225 f 34558/43585 47773/43586 20674/16548 10081/16549 f 30789/36399 47773/43586 34558/43585 7396/7225 f 34498/43471 47773/43586 30789/36399 7/36400 f 20674/16548 47773/43586 34498/43471 10038/16551 f 20677/16553 47774/43587 34559/43588 10082/16558 f 28011/31256 47774/43587 20677/16553 5189/16556 f 34557/43583 47774/43587 28011/31256 1999/31257 f 34559/43588 47774/43587 34557/43583 10080/16547 f 34559/43588 47775/43589 34560/43590 10082/16558 f 20672/16546 47775/43589 34559/43588 10080/16547 f 27966/31173 47775/43589 20672/16546 1980/16552 f 34560/43590 47775/43589 27966/31173 5156/3348 f 34560/43590 47776/43591 20678/16557 10082/16558 f 14451/3347 47776/43591 34560/43590 5156/3348 f 14450/3342 47776/43591 14451/3347 416/3344 f 20678/16557 47776/43591 14450/3342 5154/3343 f 20681/16560 47777/43592 34561/43593 10085/16565 f 34562/43594 47777/43592 20681/16560 10083/16563 f 28016/31266 47777/43592 34562/43594 2002/31268 f 34561/43593 47777/43592 28016/31266 5193/31263 f 34561/43593 47778/43595 34563/43596 10085/16565 f 28014/31262 47778/43595 34561/43593 5193/31263 f 20627/16449 47778/43595 28014/31262 1988/16451 f 34563/43596 47778/43595 20627/16449 10055/16450 f 34563/43596 47779/43597 20682/16564 10085/16565 f 34521/43512 47779/43597 34563/43596 10055/16450 f 34564/43598 47779/43597 34521/43512 422/43513 f 20682/16564 47779/43597 34564/43598 10084/16567 f 20685/16569 47780/43599 34565/43600 10089/16574 f 34566/43601 47780/43599 20685/16569 10086/16572 f 34562/43594 47780/43599 34566/43601 2002/31268 f 34565/43600 47780/43599 34562/43594 10083/16563 f 34565/43600 47781/43602 34567/43603 10089/16574 f 20680/16562 47781/43602 34565/43600 10083/16563 f 24291/24105 47781/43602 20680/16562 2000/16568 f 34567/43603 47781/43602 24291/24105 10087/24106 f 34567/43603 47782/43604 20686/16573 10089/16574 f 34568/43605 47782/43604 34567/43603 10087/24106 f 34569/43606 47782/43604 34568/43605 24/36607 f 20686/16573 47782/43604 34569/43606 10088/16576 f 20689/16578 47783/43607 34570/43608 10090/16583 f 28017/31267 47783/43607 20689/16578 5194/16581 f 34566/43601 47783/43607 28017/31267 2002/31268 f 34570/43608 47783/43607 34566/43601 10086/16572 f 34570/43608 47784/43609 34571/43610 10090/16583 f 20684/16571 47784/43609 34570/43608 10086/16572 f 28051/31329 47784/43609 20684/16571 2001/16577 f 34571/43610 47784/43609 28051/31329 5222/3460 f 34571/43610 47785/43611 20690/16582 10090/16583 f 14503/3459 47785/43611 34571/43610 5222/3460 f 34535/43542 47785/43611 14503/3459 423/3465 f 20690/16582 47785/43611 34535/43542 10064/16585 f 20693/16586 47786/43612 34572/43613 10092/16591 f 34573/43614 47786/43612 20693/16586 10091/16589 f 28022/31277 47786/43612 34573/43614 2005/31279 f 34572/43613 47786/43612 28022/31277 5198/31274 f 34572/43613 47787/43615 34574/43616 10092/16591 f 28020/31273 47787/43615 34572/43613 5198/31274 f 20655/16507 47787/43615 28020/31273 1994/16509 f 34574/43616 47787/43615 20655/16507 10071/16508 f 34574/43616 47788/43617 20694/16590 10092/16591 f 34544/43557 47788/43617 34574/43616 10071/16508 f 14468/3380 47788/43617 34544/43557 421/3382 f 20694/16590 47788/43617 14468/3380 5177/3381 f 20697/16593 47789/43618 34575/43619 10094/16598 f 34576/43620 47789/43618 20697/16593 10093/16596 f 34573/43614 47789/43618 34576/43620 2005/31279 f 34575/43619 47789/43618 34573/43614 10091/16589 f 34575/43619 47790/43621 34577/43622 10094/16598 f 20692/16588 47790/43621 34575/43619 10091/16589 f 20647/16491 47790/43621 20692/16588 1991/16493 f 34577/43622 47790/43621 20647/16491 10065/16492 f 34577/43622 47791/43623 20698/16597 10094/16598 f 34536/43543 47791/43623 34577/43622 10065/16492 f 14506/3463 47791/43623 34536/43543 423/3465 f 20698/16597 47791/43623 14506/3463 5225/3464 f 20701/16601 47792/43624 34578/43625 10097/16606 f 28023/31278 47792/43624 20701/16601 5199/16604 f 34576/43620 47792/43624 28023/31278 2005/31279 f 34578/43625 47792/43624 34576/43620 10093/16596 f 34578/43625 47793/43626 34579/43627 10097/16606 f 20696/16595 47793/43626 34578/43625 10093/16596 f 20751/16711 47793/43626 20696/16595 2003/16600 f 34579/43627 47793/43626 20751/16711 10095/16712 f 34579/43627 47794/43628 20702/16605 10097/16606 f 34580/43629 47794/43628 34579/43627 10095/16712 f 34581/43630 47794/43628 34580/43629 426/43631 f 20702/16605 47794/43628 34581/43630 10096/16608 f 20705/16610 47795/43632 34582/43633 10100/16615 f 34583/43634 47795/43632 20705/16610 10098/16613 f 28028/31288 47795/43632 34583/43634 2009/31290 f 34582/43633 47795/43632 28028/31288 5203/31285 f 34582/43633 47796/43635 34584/43636 10100/16615 f 28026/31284 47796/43635 34582/43633 5203/31285 f 20727/16659 47796/43635 28026/31284 2006/16661 f 34584/43636 47796/43635 20727/16659 10099/16660 f 34584/43636 47797/43637 20706/16614 10100/16615 f 34585/43638 47797/43637 34584/43636 10099/16660 f 14472/3389 47797/43637 34585/43638 424/3391 f 20706/16614 47797/43637 14472/3389 5182/3390 f 20709/16617 47798/43639 34586/43640 10103/16622 f 34587/43641 47798/43639 20709/16617 10101/16620 f 34583/43634 47798/43639 34587/43641 2009/31290 f 34586/43640 47798/43639 34583/43634 10098/16613 f 34586/43640 47799/43642 34588/43643 10103/16622 f 20704/16612 47799/43642 34586/43640 10098/16613 f 20659/16516 47799/43642 20704/16612 1995/16518 f 34588/43643 47799/43642 20659/16516 10073/16517 f 34588/43643 47800/43644 20710/16621 10103/16622 f 34547/43563 47800/43644 34588/43643 10073/16517 f 34589/43645 47800/43644 34547/43563 425/3421 f 20710/16621 47800/43644 34589/43645 10102/16624 f 20713/16626 47801/43646 34590/43647 10105/16631 f 28029/31289 47801/43646 20713/16626 5204/16629 f 34587/43641 47801/43646 28029/31289 2009/31290 f 34590/43647 47801/43646 34587/43641 10101/16620 f 34590/43647 47802/43648 34591/43649 10105/16631 f 20708/16619 47802/43648 34590/43647 10101/16620 f 28057/31340 47802/43648 20708/16619 2007/16625 f 34591/43649 47802/43648 28057/31340 5227/3469 f 34591/43649 47803/43650 20714/16630 10105/16631 f 14507/3468 47803/43650 34591/43649 5227/3469 f 34592/43651 47803/43650 14507/3468 428/3474 f 20714/16630 47803/43650 34592/43651 10104/16633 f 20717/16635 47804/43652 34593/43653 10108/16640 f 34594/43654 47804/43652 20717/16635 10106/16638 f 28034/31299 47804/43652 34594/43654 2012/31301 f 34593/43653 47804/43652 28034/31299 5208/31296 f 34593/43653 47805/43655 34595/43656 10108/16640 f 28032/31295 47805/43655 34593/43653 5208/31296 f 28002/31239 47805/43655 28032/31295 1997/31241 f 34595/43656 47805/43655 28002/31239 5184/3395 f 34595/43656 47806/43657 20718/16639 10108/16640 f 14473/3394 47806/43657 34595/43656 5184/3395 f 34596/43658 47806/43657 14473/3394 424/3391 f 20718/16639 47806/43657 34596/43658 10107/16642 f 20721/16644 47807/43659 34597/43660 10110/16649 f 28035/31300 47807/43659 20721/16644 5209/16647 f 34594/43654 47807/43659 28035/31300 2012/31301 f 34597/43660 47807/43659 34594/43654 10106/16638 f 34597/43660 47808/43661 34598/43662 10110/16649 f 20716/16637 47808/43661 34597/43660 10106/16638 f 28037/31305 47808/43661 20716/16637 2010/16643 f 34598/43662 47808/43661 28037/31305 5212/3442 f 34598/43662 47809/43663 20722/16648 10110/16649 f 14495/3441 47809/43663 34598/43662 5212/3442 f 34599/43664 47809/43663 14495/3441 429/3447 f 20722/16648 47809/43663 34599/43664 10109/16651 f 20725/16653 47810/43665 34600/43666 10112/16658 f 34601/43667 47810/43665 20725/16653 10111/16656 f 28040/31310 47810/43665 34601/43667 2015/31312 f 34600/43666 47810/43665 28040/31310 5213/31307 f 34600/43666 47811/43668 34602/43669 10112/16658 f 28038/31306 47811/43668 34600/43666 5213/31307 f 20719/16641 47811/43668 28038/31306 2010/16643 f 34602/43669 47811/43668 20719/16641 10107/16642 f 34602/43669 47812/43670 20726/16657 10112/16658 f 34596/43658 47812/43670 34602/43669 10107/16642 f 34585/43638 47812/43670 34596/43658 424/3391 f 20726/16657 47812/43670 34585/43638 10099/16660 f 20729/16662 47813/43671 34603/43672 10115/16667 f 34604/43673 47813/43671 20729/16662 10113/16665 f 34601/43667 47813/43671 34604/43673 2015/31312 f 34603/43672 47813/43671 34601/43667 10111/16656 f 34603/43672 47814/43674 34605/43675 10115/16667 f 20724/16655 47814/43674 34603/43672 10111/16656 f 28025/31283 47814/43674 20724/16655 2006/16661 f 34605/43675 47814/43674 28025/31283 5202/3425 f 34605/43675 47815/43676 20730/16666 10115/16667 f 14487/3424 47815/43676 34605/43675 5202/3425 f 34606/43677 47815/43676 14487/3424 427/3430 f 20730/16666 47815/43676 34606/43677 10114/16669 f 20733/16671 47816/43678 34607/43679 10118/16676 f 28041/31311 47816/43678 20733/16671 5214/16674 f 34604/43673 47816/43678 28041/31311 2015/31312 f 34607/43679 47816/43678 34604/43673 10113/16665 f 34607/43679 47817/43680 34608/43681 10118/16676 f 20728/16664 47817/43680 34607/43679 10113/16665 f 20783/16778 47817/43680 20728/16664 2013/16670 f 34608/43681 47817/43680 20783/16778 10116/16779 f 34608/43681 47818/43682 20734/16675 10118/16676 f 34609/43683 47818/43682 34608/43681 10116/16779 f 34610/43684 47818/43682 34609/43683 430/43685 f 20734/16675 47818/43682 34610/43684 10117/16678 f 20737/16680 47819/43686 34611/43687 10120/16685 f 34612/43688 47819/43686 20737/16680 10119/16683 f 28047/31322 47819/43686 34612/43688 2017/31324 f 34611/43687 47819/43686 28047/31322 5218/31319 f 34611/43687 47820/43689 34613/43690 10120/16685 f 28045/31318 47820/43689 34611/43687 5218/31319 f 25587/26783 47820/43689 28045/31318 764/26785 f 34613/43690 47820/43689 25587/26783 3255/4 f 34613/43690 47821/43691 20738/16684 10120/16685 f 12918/3 47821/43691 34613/43690 3255/4 f 14494/3437 47821/43691 12918/3 1/9 f 20738/16684 47821/43691 14494/3437 5210/3438 f 20741/16687 47822/43692 34614/43693 10122/16692 f 28048/31323 47822/43692 20741/16687 5219/16690 f 34612/43688 47822/43692 28048/31323 2017/31324 f 34614/43693 47822/43692 34612/43688 10119/16683 f 34614/43693 47823/43694 34615/43695 10122/16692 f 20736/16682 47823/43694 34614/43693 10119/16683 f 20723/16650 47823/43694 20736/16682 2011/16652 f 34615/43695 47823/43694 20723/16650 10109/16651 f 34615/43695 47824/43696 20742/16691 10122/16692 f 34599/43664 47824/43696 34615/43695 10109/16651 f 34616/43697 47824/43696 34599/43664 429/3447 f 20742/16691 47824/43696 34616/43697 10121/16694 f 20745/16696 47825/43698 34617/43699 10125/16701 f 34618/43700 47825/43698 20745/16696 10123/16699 f 28054/31334 47825/43698 34618/43700 2019/31336 f 34617/43699 47825/43698 28054/31334 5223/31331 f 34617/43699 47826/43701 34619/43702 10125/16701 f 28052/31330 47826/43701 34617/43699 5223/31331 f 20687/16575 47826/43701 28052/31330 2001/16577 f 34619/43702 47826/43701 20687/16575 10088/16576 f 34619/43702 47827/43703 20746/16700 10125/16701 f 34569/43606 47827/43703 34619/43702 10088/16576 f 34620/43704 47827/43703 34569/43606 24/36607 f 20746/16700 47827/43703 34620/43704 10124/16703 f 20749/16705 47828/43705 34621/43706 10127/16710 f 28055/31335 47828/43705 20749/16705 5224/16708 f 34618/43700 47828/43705 28055/31335 2019/31336 f 34621/43706 47828/43705 34618/43700 10123/16699 f 34621/43706 47829/43707 34622/43708 10127/16710 f 20744/16698 47829/43707 34621/43706 10123/16699 f 24339/24201 47829/43707 20744/16698 2018/16704 f 34622/43708 47829/43707 24339/24201 10126/24202 f 34622/43708 47830/43709 20750/16709 10127/16710 f 34623/43710 47830/43709 34622/43708 10126/24202 f 34580/43629 47830/43709 34623/43710 426/43631 f 20750/16709 47830/43709 34580/43629 10095/16712 f 20753/16713 47831/43711 34624/43712 10129/16718 f 34625/43713 47831/43711 20753/16713 10128/16716 f 28060/31345 47831/43711 34625/43713 2022/31347 f 34624/43712 47831/43711 28060/31345 5228/31342 f 34624/43712 47832/43714 34626/43715 10129/16718 f 28058/31341 47832/43714 34624/43712 5228/31342 f 20711/16623 47832/43714 28058/31341 2007/16625 f 34626/43715 47832/43714 20711/16623 10102/16624 f 34626/43715 47833/43716 20754/16717 10129/16718 f 34589/43645 47833/43716 34626/43715 10102/16624 f 14486/3419 47833/43716 34589/43645 425/3421 f 20754/16717 47833/43716 14486/3419 5200/3420 f 20757/16720 47834/43717 34627/43718 10132/16725 f 34628/43719 47834/43717 20757/16720 10130/16723 f 34625/43713 47834/43717 34628/43719 2022/31347 f 34627/43718 47834/43717 34625/43713 10128/16716 f 34627/43718 47835/43720 34629/43721 10132/16725 f 20752/16715 47835/43720 34627/43718 10128/16716 f 20703/16607 47835/43720 20752/16715 2004/16609 f 34629/43721 47835/43720 20703/16607 10096/16608 f 34629/43721 47836/43722 20758/16724 10132/16725 f 34581/43630 47836/43722 34629/43721 10096/16608 f 34630/43723 47836/43722 34581/43630 426/43631 f 20758/16724 47836/43722 34630/43723 10131/16727 f 20761/16729 47837/43724 34631/43725 10135/16734 f 28061/31346 47837/43724 20761/16729 5229/16732 f 34628/43719 47837/43724 28061/31346 2022/31347 f 34631/43725 47837/43724 34628/43719 10130/16723 f 34631/43725 47838/43726 34632/43727 10135/16734 f 20756/16722 47838/43726 34631/43725 10130/16723 f 20831/16879 47838/43726 20756/16722 2020/16728 f 34632/43727 47838/43726 20831/16879 10133/16880 f 34632/43727 47839/43728 20762/16733 10135/16734 f 34633/43729 47839/43728 34632/43727 10133/16880 f 34634/43730 47839/43728 34633/43729 431/3552 f 20762/16733 47839/43728 34634/43730 10134/16736 f 20765/16738 47840/43731 34635/43732 10138/16743 f 34636/43733 47840/43731 20765/16738 10136/16741 f 28066/31356 47840/43731 34636/43733 2026/31358 f 34635/43732 47840/43731 28066/31356 5233/31353 f 34635/43732 47841/43734 34637/43735 10138/16743 f 28064/31352 47841/43734 34635/43732 5233/31353 f 20787/16786 47841/43734 28064/31352 2023/16788 f 34637/43735 47841/43734 20787/16786 10137/16787 f 34637/43735 47842/43736 20766/16742 10138/16743 f 34638/43737 47842/43736 34637/43735 10137/16787 f 14490/3428 47842/43736 34638/43737 427/3430 f 20766/16742 47842/43736 14490/3428 5205/3429 f 20769/16745 47843/43738 34639/43739 10141/16750 f 34640/43740 47843/43738 20769/16745 10139/16748 f 34636/43733 47843/43738 34640/43740 2026/31358 f 34639/43739 47843/43738 34636/43733 10136/16741 f 34639/43739 47844/43741 34641/43742 10141/16750 f 20764/16740 47844/43741 34639/43739 10136/16741 f 20715/16632 47844/43741 20764/16740 2008/16634 f 34641/43742 47844/43741 20715/16632 10104/16633 f 34641/43742 47845/43743 20770/16749 10141/16750 f 34592/43651 47845/43743 34641/43742 10104/16633 f 34642/43744 47845/43743 34592/43651 428/3474 f 20770/16749 47845/43743 34642/43744 10140/16752 f 20773/16754 47846/43745 34643/43746 10143/16759 f 28067/31357 47846/43745 20773/16754 5234/16757 f 34640/43740 47846/43745 28067/31357 2026/31358 f 34643/43746 47846/43745 34640/43740 10139/16748 f 34643/43746 47847/43747 34644/43748 10143/16759 f 20768/16747 47847/43747 34643/43746 10139/16748 f 28103/31427 47847/43747 20768/16747 2024/16753 f 34644/43748 47847/43747 28103/31427 5263/3529 f 34644/43748 47848/43749 20774/16758 10143/16759 f 14535/3528 47848/43749 34644/43748 5263/3529 f 34645/43750 47848/43749 14535/3528 433/3534 f 20774/16758 47848/43749 34645/43750 10142/16761 f 20777/16763 47849/43751 34646/43752 10147/16768 f 34647/43753 47849/43751 20777/16763 10144/16766 f 28072/31367 47849/43751 34647/43753 2029/31369 f 34646/43752 47849/43751 28072/31367 5238/31364 f 34646/43752 47850/43754 34648/43755 10147/16768 f 28070/31363 47850/43754 34646/43752 5238/31364 f 20803/16821 47850/43754 28070/31363 2027/16823 f 34648/43755 47850/43754 20803/16821 10145/16822 f 34648/43755 47851/43756 20778/16767 10147/16768 f 34649/43757 47851/43756 34648/43755 10145/16822 f 34650/43758 47851/43756 34649/43757 434/43759 f 20778/16767 47851/43756 34650/43758 10146/16770 f 20781/16772 47852/43760 34651/43761 10150/16777 f 34652/43762 47852/43760 20781/16772 10148/16775 f 34647/43753 47852/43760 34652/43762 2029/31369 f 34651/43761 47852/43760 34647/43753 10144/16766 f 34651/43761 47853/43763 34653/43764 10150/16777 f 20776/16765 47853/43763 34651/43761 10144/16766 f 20811/16838 47853/43763 20776/16765 2028/16771 f 34653/43764 47853/43763 20811/16838 10149/16839 f 34653/43764 47854/43765 20782/16776 10150/16777 f 34654/43766 47854/43765 34653/43764 10149/16839 f 34609/43683 47854/43765 34654/43766 430/43685 f 20782/16776 47854/43765 34609/43683 10116/16779 f 20785/16780 47855/43767 34655/43768 10151/16785 f 28073/31368 47855/43767 20785/16780 5239/16783 f 34652/43762 47855/43767 28073/31368 2029/31369 f 34655/43768 47855/43767 34652/43762 10148/16775 f 34655/43768 47856/43769 34656/43770 10151/16785 f 20780/16774 47856/43769 34655/43768 10148/16775 f 20731/16668 47856/43769 20780/16774 2013/16670 f 34656/43770 47856/43769 20731/16668 10114/16669 f 34656/43770 47857/43771 20786/16784 10151/16785 f 34606/43677 47857/43771 34656/43770 10114/16669 f 34638/43737 47857/43771 34606/43677 427/3430 f 20786/16784 47857/43771 34638/43737 10137/16787 f 20789/16789 47858/43772 34657/43773 10154/16794 f 34658/43774 47858/43772 20789/16789 10152/16792 f 28077/31377 47858/43772 34658/43774 2032/31379 f 34657/43773 47858/43772 28077/31377 5241/31374 f 34657/43773 47859/43775 34659/43776 10154/16794 f 28075/31373 47859/43775 34657/43773 5241/31374 f 20735/16677 47859/43775 28075/31373 2014/16679 f 34659/43776 47859/43775 20735/16677 10117/16678 f 34659/43776 47860/43777 20790/16793 10154/16794 f 34610/43684 47860/43777 34659/43776 10117/16678 f 34660/43778 47860/43777 34610/43684 430/43685 f 20790/16793 47860/43777 34660/43778 10153/16796 f 20793/16798 47861/43779 34661/43780 10157/16803 f 28078/31378 47861/43779 20793/16798 5242/16801 f 34658/43774 47861/43779 28078/31378 2032/31379 f 34661/43780 47861/43779 34658/43774 10152/16792 f 34661/43780 47862/43781 34662/43782 10157/16803 f 20788/16791 47862/43781 34661/43780 10152/16792 f 20807/16830 47862/43781 20788/16791 2030/16797 f 34662/43782 47862/43781 20807/16830 10155/16831 f 34662/43782 47863/43783 20794/16802 10157/16803 f 34663/43784 47863/43783 34662/43782 10155/16831 f 34664/43785 47863/43783 34663/43784 435/43786 f 20794/16802 47863/43783 34664/43785 10156/16805 f 20797/16807 47864/43787 34665/43788 10160/16812 f 34666/43789 47864/43787 20797/16807 10158/16810 f 28083/31388 47864/43787 34666/43789 2035/31390 f 34665/43788 47864/43787 28083/31388 5246/31385 f 34665/43788 47865/43790 34667/43791 10160/16812 f 28081/31384 47865/43790 34665/43788 5246/31385 f 20891/17004 47865/43790 28081/31384 2033/17006 f 34667/43791 47865/43790 20891/17004 10159/17005 f 34667/43791 47866/43792 20798/16811 10160/16812 f 34668/43793 47866/43792 34667/43791 10159/17005 f 14582/3631 47866/43792 34668/43793 436/3633 f 20798/16811 47866/43792 14582/3631 5321/3632 f 20801/16815 47867/43794 34669/43795 10162/16820 f 28084/31389 47867/43794 20801/16815 5247/16818 f 34666/43789 47867/43794 28084/31389 2035/31390 f 34669/43795 47867/43794 34666/43789 10158/16810 f 34669/43795 47868/43796 34670/43797 10162/16820 f 20796/16809 47868/43796 34669/43795 10158/16810 f 20983/17199 47868/43796 20796/16809 2034/16814 f 34670/43797 47868/43796 20983/17199 10161/17200 f 34670/43797 47869/43798 20802/16819 10162/16820 f 34671/43799 47869/43798 34670/43797 10161/17200 f 34649/43757 47869/43798 34671/43799 434/43759 f 20802/16819 47869/43798 34649/43757 10145/16822 f 20805/16824 47870/43800 34672/43801 10165/16829 f 34673/43802 47870/43800 20805/16824 10163/16827 f 28089/31399 47870/43800 34673/43802 2038/31401 f 34672/43801 47870/43800 28089/31399 5250/31396 f 34672/43801 47871/43803 34674/43804 10165/16829 f 28087/31395 47871/43803 34672/43801 5250/31396 f 20991/17216 47871/43803 28087/31395 2036/17218 f 34674/43804 47871/43803 20991/17216 10164/17217 f 34674/43804 47872/43805 20806/16828 10165/16829 f 34675/43806 47872/43805 34674/43804 10164/17217 f 34663/43784 47872/43805 34675/43806 435/43786 f 20806/16828 47872/43805 34663/43784 10155/16831 f 20809/16832 47873/43807 34676/43808 10167/16837 f 34677/43809 47873/43807 20809/16832 10166/16835 f 34673/43802 47873/43807 34677/43809 2038/31401 f 34676/43808 47873/43807 34673/43802 10163/16827 f 34676/43808 47874/43810 34678/43811 10167/16837 f 20804/16826 47874/43810 34676/43808 10163/16827 f 20791/16795 47874/43810 20804/16826 2030/16797 f 34678/43811 47874/43810 20791/16795 10153/16796 f 34678/43811 47875/43812 20810/16836 10167/16837 f 34660/43778 47875/43812 34678/43811 10153/16796 f 34654/43766 47875/43812 34660/43778 430/43685 f 20810/16836 47875/43812 34654/43766 10149/16839 f 20813/16840 47876/43813 34679/43814 10169/16845 f 28090/31400 47876/43813 20813/16840 5251/16843 f 34677/43809 47876/43813 28090/31400 2038/31401 f 34679/43814 47876/43813 34677/43809 10166/16835 f 34679/43814 47877/43815 34680/43816 10169/16845 f 20808/16834 47877/43815 34679/43814 10166/16835 f 20779/16769 47877/43815 20808/16834 2028/16771 f 34680/43816 47877/43815 20779/16769 10146/16770 f 34680/43816 47878/43817 20814/16844 10169/16845 f 34650/43758 47878/43817 34680/43816 10146/16770 f 34681/43818 47878/43817 34650/43758 434/43759 f 20814/16844 47878/43817 34681/43818 10168/16847 f 20817/16849 47879/43819 34682/43820 10171/16854 f 34683/43821 47879/43819 20817/16849 10170/16852 f 28094/31409 47879/43819 34683/43821 2040/31411 f 34682/43820 47879/43819 28094/31409 5254/31406 f 34682/43820 47880/43822 34684/43823 10171/16854 f 28092/31405 47880/43822 34682/43820 5254/31406 f 20743/16693 47880/43822 28092/31405 2016/16695 f 34684/43823 47880/43822 20743/16693 10121/16694 f 34684/43823 47881/43824 20818/16853 10171/16854 f 34616/43697 47881/43824 34684/43823 10121/16694 f 14520/3494 47881/43824 34616/43697 429/3447 f 20818/16853 47881/43824 14520/3494 5243/3495 f 20821/16856 47882/43825 34685/43826 10174/16861 f 34686/43827 47882/43825 20821/16856 10172/16859 f 34683/43821 47882/43825 34686/43827 2040/31411 f 34685/43826 47882/43825 34683/43821 10170/16852 f 34685/43826 47883/43828 34687/43829 10174/16861 f 20816/16851 47883/43828 34685/43826 10170/16852 f 20795/16804 47883/43828 20816/16851 2031/16806 f 34687/43829 47883/43828 20795/16804 10156/16805 f 34687/43829 47884/43830 20822/16860 10174/16861 f 34664/43785 47884/43830 34687/43829 10156/16805 f 34688/43831 47884/43830 34664/43785 435/43786 f 20822/16860 47884/43830 34688/43831 10173/16863 f 20825/16865 47885/43832 34689/43833 10175/16870 f 28095/31410 47885/43832 20825/16865 5255/16868 f 34686/43827 47885/43832 28095/31410 2040/31411 f 34689/43833 47885/43832 34686/43827 10172/16859 f 34689/43833 47886/43834 34690/43835 10175/16870 f 20820/16858 47886/43834 34689/43833 10172/16859 f 28364/31907 47886/43834 20820/16858 2039/16864 f 34690/43835 47886/43834 28364/31907 5469/3889 f 34690/43835 47887/43836 20826/16869 10175/16870 f 14698/3888 47887/43836 34690/43835 5469/3889 f 30777/36378 47887/43836 14698/3888 5/3894 f 20826/16869 47887/43836 30777/36378 7387/16872 f 20829/16873 47888/43837 34691/43838 10177/16878 f 34692/43839 47888/43837 20829/16873 10176/16876 f 28100/31421 47888/43837 34692/43839 2044/31423 f 34691/43838 47888/43837 28100/31421 5259/31418 f 34691/43838 47889/43840 34693/43841 10177/16878 f 28098/31416 47889/43840 34691/43838 5259/31418 f 28115/31449 47889/43840 28098/31416 2041/31417 f 34693/43841 47889/43840 28115/31449 5273/3547 f 34693/43841 47890/43842 20830/16877 10177/16878 f 14543/3546 47890/43842 34693/43841 5273/3547 f 34633/43729 47890/43842 14543/3546 431/3552 f 20830/16877 47890/43842 34633/43729 10133/16880 f 20833/16881 47891/43843 34694/43844 10180/16886 f 34695/43845 47891/43843 20833/16881 10178/16884 f 34692/43839 47891/43843 34695/43845 2044/31423 f 34694/43844 47891/43843 34692/43839 10176/16876 f 34694/43844 47892/43846 34696/43847 10180/16886 f 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12915/26769 f 25537/26682 51456/51455 25578/26768 3246/26684 f 38645/51456 51456/51455 25537/26682 12893/26683 f 38645/51456 51457/51457 25584/26778 12917/26779 f 38610/51386 51457/51457 38645/51456 12893/26683 f 13076/351 51457/51457 38610/51386 60/353 f 25584/26778 51457/51457 13076/351 3453/352 octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/examples/DATA/hilbert.mtx0000644001356000007640000000244113673436411025460 0ustar fangqadmin%%MatrixMarket matrix coordinate integer general % 10 10 100 1 1 0.5 1 2 0.333333 1 3 0.25 1 4 0.2 1 5 0.166667 1 6 0.142857 1 7 0.125 1 8 0.111111 1 9 0.1 1 10 0.0909091 2 1 0.333333 2 2 0.25 2 3 0.2 2 4 0.166667 2 5 0.142857 2 6 0.125 2 7 0.111111 2 8 0.1 2 9 0.0909091 2 10 0.0833333 3 1 0.25 3 2 0.2 3 3 0.166667 3 4 0.142857 3 5 0.125 3 6 0.111111 3 7 0.1 3 8 0.0909091 3 9 0.0833333 3 10 0.0769231 4 1 0.2 4 2 0.166667 4 3 0.142857 4 4 0.125 4 5 0.111111 4 6 0.1 4 7 0.0909091 4 8 0.0833333 4 9 0.0769231 4 10 0.0714286 5 1 0.166667 5 2 0.142857 5 3 0.125 5 4 0.111111 5 5 0.1 5 6 0.0909091 5 7 0.0833333 5 8 0.0769231 5 9 0.0714286 5 10 0.0666667 6 1 0.142857 6 2 0.125 6 3 0.111111 6 4 0.1 6 5 0.0909091 6 6 0.0833333 6 7 0.0769231 6 8 0.0714286 6 9 0.0666667 6 10 0.0625 7 1 0.125 7 2 0.111111 7 3 0.1 7 4 0.0909091 7 5 0.0833333 7 6 0.0769231 7 7 0.0714286 7 8 0.0666667 7 9 0.0625 7 10 0.0588235 8 1 0.111111 8 2 0.1 8 3 0.0909091 8 4 0.0833333 8 5 0.0769231 8 6 0.0714286 8 7 0.0666667 8 8 0.0625 8 9 0.0588235 8 10 0.0555556 9 1 0.1 9 2 0.0909091 9 3 0.0833333 9 4 0.0769231 9 5 0.0714286 9 6 0.0666667 9 7 0.0625 9 8 0.0588235 9 9 0.0555556 9 10 0.0526316 10 1 0.0909091 10 2 0.0833333 10 3 0.0769231 10 4 0.0714286 10 5 0.0666667 10 6 0.0625 10 7 0.0588235 10 8 0.0555556 10 9 0.0526316 10 10 0.05 octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/examples/DATA/5pt_10x10.mtx0000644001356000007640000000776213673436411025403 0ustar fangqadmin%%MatrixMarket matrix coordinate integer general %A 5 point Laplacian stencil in 2 dimensions 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octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/examples/DATA/example_1.mtx0000644001356000007640000000000013673436411025667 0ustar fangqadminoctave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/examples/DATA/rand.mtx0000644001356000007640000001247413673436411024762 0ustar fangqadmin%%MatrixMarket matrix coordinate integer general % 20 20 400 1 1 1.20805 1 2 0.700801 1 3 1.11848 1 4 1.16188 1 5 1.17299 1 6 1.36985 1 7 0.877481 1 8 1.53647 1 9 0.975977 1 10 1.15501 1 11 1.50734 1 12 0.600075 1 13 1.76093 1 14 1.56448 1 15 0.799832 1 16 0.14341 1 17 1.35906 1 18 0.366422 1 19 1.23667 1 20 0.702456 2 1 0.700801 2 2 1.35537 2 3 1.17643 2 4 0.554703 2 5 0.336681 2 6 1.54901 2 7 1.02219 2 8 1.28019 2 9 1.59162 2 10 0.975685 2 11 0.933903 2 12 1.01958 2 13 1.18168 2 14 0.699169 2 15 0.915581 2 16 0.586669 2 17 0.881721 2 18 1.52455 2 19 1.39885 2 20 0.87631 3 1 1.11848 3 2 1.17643 3 3 0.128286 3 4 1.03064 3 5 1.59133 3 6 0.566753 3 7 0.689658 3 8 0.417153 3 9 0.557435 3 10 0.418301 3 11 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409/409 f 1985/1985 1986/1986 1935/1935 409/409 f 1937/1937 1986/1986 1985/1985 407/407 f 1988/1988 1989/1989 1987/1987 422/422 f 1966/1966 1989/1989 1988/1988 419/419 f 1964/1964 1989/1989 1966/1966 411/411 f 1967/1967 1992/1992 1970/1970 412/412 f 1990/1990 1992/1992 1967/1967 419/419 f 1991/1991 1992/1992 1990/1990 423/423 f 1971/1971 1996/1996 1993/1993 420/420 f 1994/1994 1996/1996 1971/1971 421/421 f 1995/1995 1996/1996 1994/1994 425/425 f 1973/1973 1998/1998 1997/1997 1/1 f 1993/1993 1998/1998 1973/1973 420/420 f 774/774 1999/1999 1976/1976 4/4 f 1980/1980 1999/1999 774/774 7/7 f 1978/1978 1999/1999 1980/1980 416/416 f 2000/2000 2002/2002 1988/1988 422/422 f 2001/2001 2002/2002 2000/2000 24/24 f 1990/1990 2002/2002 2001/2001 423/423 f 1991/1991 2005/2005 1994/1994 421/421 f 2003/2003 2005/2005 1991/1991 423/423 f 2004/2004 2005/2005 2003/2003 426/426 f 1995/1995 2009/2009 2006/2006 424/424 f 2007/2007 2009/2009 1995/1995 425/425 f 2008/2008 2009/2009 2007/2007 428/428 f 2010/2010 2012/2012 1997/1997 424/424 f 2011/2011 2012/2012 2010/2010 429/429 f 2006/2006 2015/2015 2010/2010 424/424 f 2013/2013 2015/2015 2006/2006 427/427 f 2014/2014 2015/2015 2013/2013 430/430 f 2011/2011 2017/2017 764/764 1/1 f 2016/2016 2017/2017 2011/2011 429/429 f 2018/2018 2019/2019 2001/2001 24/24 f 2003/2003 2019/2019 2018/2018 426/426 f 2004/2004 2022/2022 2007/2007 425/425 f 2020/2020 2022/2022 2004/2004 426/426 f 2021/2021 2022/2022 2020/2020 431/431 f 2008/2008 2026/2026 2023/2023 427/427 f 2024/2024 2026/2026 2008/2008 428/428 f 2025/2025 2026/2026 2024/2024 433/433 f 2028/2028 2029/2029 2027/2027 434/434 f 2013/2013 2029/2029 2028/2028 430/430 f 2023/2023 2029/2029 2013/2013 427/427 f 2030/2030 2032/2032 2014/2014 430/430 f 2031/2031 2032/2032 2030/2030 435/435 f 2034/2034 2035/2035 2033/2033 436/436 f 2027/2027 2035/2035 2034/2034 434/434 f 2030/2030 2038/2038 2036/2036 435/435 f 2028/2028 2038/2038 2030/2030 430/430 f 2037/2037 2038/2038 2028/2028 434/434 f 2031/2031 2040/2040 2016/2016 429/429 f 2039/2039 2040/2040 2031/2031 435/435 f 769/769 2040/2040 2039/2039 5/5 f 2020/2020 2044/2044 2041/2041 431/431 f 2042/2042 2044/2044 2020/2020 426/426 f 2043/2043 2044/2044 2042/2042 439/439 f 2021/2021 2047/2047 2024/2024 428/428 f 2045/2045 2047/2047 2021/2021 431/431 f 2046/2046 2047/2047 2045/2045 440/440 f 2025/2025 2051/2051 2048/2048 432/432 f 2049/2049 2051/2051 2025/2025 433/433 f 2050/2050 2051/2051 2049/2049 442/442 f 2052/2052 2054/2054 2041/2041 438/438 f 2053/2053 2054/2054 2052/2052 443/443 f 2045/2045 2054/2054 2053/2053 440/440 f 2046/2046 2057/2057 2049/2049 433/433 f 2055/2055 2057/2057 2046/2046 440/440 f 2056/2056 2057/2057 2055/2055 444/444 f 2033/2033 2060/2060 2058/2058 436/436 f 2048/2048 2060/2060 2033/2033 432/432 f 2059/2059 2060/2060 2048/2048 441/441 f 2050/2050 2064/2064 2061/2061 441/441 f 2062/2062 2064/2064 2050/2050 442/442 f 2063/2063 2064/2064 2062/2062 447/447 f 2066/2066 2068/2068 2065/2065 449/449 f 2058/2058 2068/2068 2066/2066 436/436 f 2067/2067 2068/2068 2058/2058 445/445 f 2059/2059 2071/2071 2069/2069 445/445 f 2061/2061 2071/2071 2059/2059 441/441 f 2070/2070 2071/2071 2061/2061 446/446 f 2072/2072 2075/2075 2055/2055 440/440 f 2073/2073 2075/2075 2072/2072 451/451 f 2074/2074 2075/2075 2073/2073 452/452 f 2056/2056 2078/2078 2062/2062 442/442 f 2076/2076 2078/2078 2056/2056 444/444 f 2077/2077 2078/2078 2076/2076 453/453 f 2080/2080 2082/2082 2079/2079 455/455 f 2063/2063 2082/2082 2080/2080 446/446 f 2081/2081 2082/2082 2063/2063 447/447 f 2083/2083 2084/2084 2066/2066 449/449 f 2037/2037 2084/2084 2083/2083 437/437 f 2034/2034 2084/2084 2037/2037 434/434 f 2086/2086 2087/2087 2085/2085 456/456 f 2036/2036 2087/2087 2086/2086 435/435 f 2083/2083 2089/2089 2085/2085 437/437 f 2088/2088 2089/2089 2083/2083 449/449 f 2091/2091 2093/2093 2090/2090 458/458 f 2065/2065 2093/2093 2091/2091 449/449 f 2092/2092 2093/2093 2065/2065 448/448 f 2067/2067 2096/2096 2094/2094 448/448 f 2069/2069 2096/2096 2067/2067 445/445 f 2095/2095 2096/2096 2069/2069 450/450 f 2098/2098 2099/2099 2097/2097 460/460 f 2070/2070 2099/2099 2098/2098 450/450 f 2080/2080 2099/2099 2070/2070 446/446 f 1155/1155 2102/2102 2100/2100 148/148 f 2101/2101 2102/2102 1155/1155 150/150 f 1156/1156 2104/2104 2103/2103 150/150 f 1159/1159 2104/2104 1156/1156 149/149 f 2105/2105 2108/2108 2101/2101 150/150 f 2106/2106 2108/2108 2105/2105 462/462 f 2107/2107 2108/2108 2106/2106 463/463 f 2103/2103 2111/2111 2109/2109 150/150 f 2110/2110 2111/2111 2103/2103 151/151 f 2105/2105 2114/2114 2112/2112 462/462 f 2109/2109 2114/2114 2105/2105 150/150 f 2113/2113 2114/2114 2109/2109 464/464 f 2115/2115 2118/2118 2110/2110 151/151 f 2116/2116 2118/2118 2115/2115 466/466 f 2117/2117 2118/2118 2116/2116 458/458 f 2115/2115 2120/2120 2119/2119 466/466 f 1158/1158 2120/2120 2115/2115 151/151 f 790/790 2120/2120 1158/1158 14/14 f 2121/2121 2124/2124 2106/2106 462/462 f 2122/2122 2124/2124 2121/2121 467/467 f 2123/2123 2124/2124 2122/2122 468/468 f 2112/2112 2127/2127 2125/2125 462/462 f 2126/2126 2127/2127 2112/2112 465/465 f 2117/2117 2129/2129 2113/2113 464/464 f 2090/2090 2129/2129 2117/2117 458/458 f 2128/2128 2129/2129 2090/2090 457/457 f 2121/2121 2132/2132 2130/2130 467/467 f 2125/2125 2132/2132 2121/2121 462/462 f 2131/2131 2132/2132 2125/2125 469/469 f 2134/2134 2135/2135 2133/2133 471/471 f 2122/2122 2135/2135 2134/2134 468/468 f 2126/2126 2139/2139 2136/2136 469/469 f 2137/2137 2139/2139 2126/2126 465/465 f 2138/2138 2139/2139 2137/2137 473/473 f 2128/2128 2141/2141 2137/2137 465/465 f 2140/2140 2141/2141 2128/2128 457/457 f 2116/2116 2143/2143 2091/2091 458/458 f 2142/2142 2143/2143 2116/2116 466/466 f 2088/2088 2143/2143 2142/2142 456/456 f 2142/2142 2145/2145 2144/2144 456/456 f 2119/2119 2145/2145 2142/2142 466/466 f 783/783 2145/2145 2119/2119 11/11 f 2092/2092 2147/2147 2140/2140 457/457 f 2094/2094 2147/2147 2092/2092 448/448 f 2146/2146 2147/2147 2094/2094 459/459 f 2131/2131 2150/2150 2148/2148 470/470 f 2136/2136 2150/2150 2131/2131 469/469 f 2149/2149 2150/2150 2136/2136 472/472 f 2146/2146 2153/2153 2138/2138 473/473 f 2151/2151 2153/2153 2146/2146 459/459 f 2152/2152 2153/2153 2151/2151 475/475 f 2133/2133 2155/2155 2154/2154 471/471 f 2130/2130 2155/2155 2133/2133 467/467 f 2157/2157 2158/2158 2156/2156 476/476 f 2154/2154 2158/2158 2157/2157 471/471 f 2148/2148 2158/2158 2154/2154 470/470 f 2152/2152 2161/2161 2149/2149 472/472 f 2159/2159 2161/2161 2152/2152 475/475 f 2160/2160 2161/2161 2159/2159 477/477 f 2160/2160 2164/2164 2156/2156 474/474 f 2162/2162 2164/2164 2160/2160 477/477 f 2163/2163 2164/2164 2162/2162 478/478 f 2157/2157 2167/2167 2165/2165 471/471 f 2166/2166 2167/2167 2157/2157 476/476 f 2168/2168 2171/2171 2159/2159 475/475 f 2169/2169 2171/2171 2168/2168 460/460 f 2170/2170 2171/2171 2169/2169 480/480 f 2095/2095 2172/2172 2151/2151 459/459 f 2098/2098 2172/2172 2095/2095 450/450 f 2168/2168 2172/2172 2098/2098 460/460 f 2086/2086 2173/2173 2039/2039 435/435 f 2144/2144 2173/2173 2086/2086 456/456 f 779/779 2173/2173 2144/2144 9/9 f 2169/2169 2176/2176 2174/2174 480/480 f 2097/2097 2176/2176 2169/2169 460/460 f 2175/2175 2176/2176 2097/2097 455/455 f 2170/2170 2179/2179 2162/2162 477/477 f 2177/2177 2179/2179 2170/2170 480/480 f 2178/2178 2179/2179 2177/2177 482/482 f 2166/2166 2182/2182 2180/2180 479/479 f 2163/2163 2182/2182 2166/2166 476/476 f 2181/2181 2182/2182 2163/2163 478/478 f 2177/2177 2185/2185 2183/2183 482/482 f 2174/2174 2185/2185 2177/2177 480/480 f 2184/2184 2185/2185 2174/2174 481/481 f 2181/2181 2188/2188 2186/2186 483/483 f 2178/2178 2188/2188 2181/2181 478/478 f 2187/2187 2188/2188 2178/2178 482/482 f 2074/2074 2191/2191 2076/2076 444/444 f 2189/2189 2191/2191 2074/2074 452/452 f 2190/2190 2191/2191 2189/2189 486/486 f 2192/2192 2194/2194 2077/2077 453/453 f 2193/2193 2194/2194 2192/2192 487/487 f 2081/2081 2194/2194 2193/2193 454/454 f 2175/2175 2197/2197 2195/2195 481/481 f 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2205/2205 2221/2221 2220/2220 491/491 f 2222/2222 2224/2224 2217/2217 495/495 f 2223/2223 2224/2224 2222/2222 497/497 f 2213/2213 2224/2224 2223/2223 494/494 f 2225/2225 2227/2227 2223/2223 497/497 f 2226/2226 2227/2227 2225/2225 498/498 f 2219/2219 2227/2227 2226/2226 496/496 f 1983/1983 2230/2230 2228/2228 409/409 f 1981/1981 2230/2230 1983/1983 417/417 f 2229/2229 2230/2230 1981/1981 7/7 f 1985/1985 2232/2232 1939/1939 407/407 f 2231/2231 2232/2232 1985/1985 409/409 f 2228/2228 2235/2235 2233/2233 409/409 f 2234/2234 2235/2235 2228/2228 499/499 f 2229/2229 2238/2238 2236/2236 499/499 f 2237/2237 2238/2238 2229/2229 7/7 f 2236/2236 2241/2241 2234/2234 499/499 f 2239/2239 2241/2241 2236/2236 501/501 f 2240/2240 2241/2241 2239/2239 502/502 f 776/776 2243/2243 2237/2237 7/7 f 2242/2242 2243/2243 776/776 8/8 f 2244/2244 2247/2247 2239/2239 501/501 f 2245/2245 2247/2247 2244/2244 503/503 f 2246/2246 2247/2247 2245/2245 504/504 f 2248/2248 2250/2250 2240/2240 502/502 f 2249/2249 2250/2250 2248/2248 505/505 f 788/788 2253/2253 2242/2242 8/8 f 2251/2251 2253/2253 788/788 13/13 f 2252/2252 2253/2253 2251/2251 506/506 f 795/795 2256/2256 2251/2251 13/13 f 2254/2254 2256/2256 795/795 16/16 f 2255/2255 2256/2256 2254/2254 507/507 f 2252/2252 2258/2258 2244/2244 501/501 f 2257/2257 2258/2258 2252/2252 506/506 f 807/807 2260/2260 2254/2254 16/16 f 2259/2259 2260/2260 807/807 20/20 f 2259/2259 2263/2263 2261/2261 507/507 f 1174/1174 2263/2263 2259/2259 20/20 f 2262/2262 2263/2263 1174/1174 155/155 f 2255/2255 2265/2265 2257/2257 506/506 f 2261/2261 2265/2265 2255/2255 507/507 f 2264/2264 2265/2265 2261/2261 508/508 f 2262/2262 2269/2269 2266/2266 508/508 f 2267/2267 2269/2269 2262/2262 155/155 f 2268/2268 2269/2269 2267/2267 510/510 f 2264/2264 2271/2271 2245/2245 503/503 f 2266/2266 2271/2271 2264/2264 508/508 f 2270/2270 2271/2271 2266/2266 509/509 f 2273/2273 2274/2274 2272/2272 511/511 f 2248/2248 2274/2274 2273/2273 505/505 f 2246/2246 2274/2274 2248/2248 502/502 f 2276/2276 2277/2277 2275/2275 512/512 f 2272/2272 2277/2277 2276/2276 511/511 f 2270/2270 2277/2277 2272/2272 504/504 f 1175/1175 2279/2279 2267/2267 155/155 f 1178/1178 2279/2279 1175/1175 152/152 f 2278/2278 2279/2279 1178/1178 156/156 f 2281/2281 2282/2282 2280/2280 513/513 f 2275/2275 2282/2282 2281/2281 512/512 f 2268/2268 2282/2282 2275/2275 509/509 f 2284/2284 2285/2285 2283/2283 514/514 f 2280/2280 2285/2285 2284/2284 513/513 f 2278/2278 2285/2285 2280/2280 510/510 f 2286/2286 2287/2287 1180/1180 157/157 f 1177/1177 2287/2287 2286/2286 156/156 f 2286/2286 2289/2289 2283/2283 156/156 f 2288/2288 2289/2289 2286/2286 157/157 f 2288/2288 2292/2292 2290/2290 514/514 f 2291/2291 2292/2292 2288/2288 157/157 f 1182/1182 2294/2294 2291/2291 157/157 f 2293/2293 2294/2294 1182/1182 158/158 f 2293/2293 2295/2295 871/871 50/50 f 1185/1185 2295/2295 2293/2293 158/158 f 1781/1781 2295/2295 1185/1185 159/159 f 1867/1867 2296/2296 1869/1869 362/362 f 1690/1690 2296/2296 1867/1867 316/316 f 1873/1873 2299/2299 2297/2297 386/386 f 1696/1696 2299/2299 1873/1873 333/333 f 2298/2298 2299/2299 1696/1696 318/318 f 1388/1388 2301/2301 1411/1411 230/230 f 1391/1391 2301/2301 1388/1388 217/217 f 2300/2300 2301/2301 1391/1391 231/231 f 2303/2303 2305/2305 2302/2302 517/517 f 2304/2304 2305/2305 2303/2303 518/518 f 2307/2307 2309/2309 2306/2306 520/520 f 2308/2308 2309/2309 2307/2307 521/521 f 2310/2310 2312/2312 2307/2307 520/520 f 2311/2311 2312/2312 2310/2310 522/522 f 2313/2313 2315/2315 2302/2302 516/516 f 2314/2314 2315/2315 2313/2313 520/520 f 2316/2316 2317/2317 2313/2313 516/516 f 2310/2310 2317/2317 2316/2316 522/522 f 2319/2319 2321/2321 2318/2318 524/524 f 2303/2303 2321/2321 2319/2319 518/518 f 2320/2320 2321/2321 2303/2303 517/517 f 2323/2323 2325/2325 2322/2322 525/525 f 2324/2324 2325/2325 2323/2323 526/526 f 2304/2304 2325/2325 2324/2324 516/516 f 2324/2324 2327/2327 2316/2316 516/516 f 2326/2326 2327/2327 2324/2324 526/526 f 2329/2329 2331/2331 2328/2328 527/527 f 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635/635 f 2686/2686 3230/3230 3228/3228 634/634 f 3135/3135 3232/3232 932/932 69/69 f 3130/3130 3232/3232 3135/3135 745/745 f 3231/3231 3232/3232 3130/3130 744/744 f 3231/3231 3234/3234 3165/3165 71/71 f 3127/3127 3234/3234 3231/3231 744/744 f 3233/3233 3234/3234 3127/3127 743/743 f 3233/3233 3236/3236 3172/3172 754/754 f 3122/3122 3236/3236 3233/3233 743/743 f 3235/3235 3236/3236 3122/3122 742/742 f 3235/3235 3238/3238 3175/3175 755/755 f 3119/3119 3238/3238 3235/3235 742/742 f 3237/3237 3238/3238 3119/3119 736/736 f 3237/3237 3240/3240 3152/3152 749/749 f 3096/3096 3240/3240 3237/3237 736/736 f 3239/3239 3240/3240 3096/3096 731/731 f 3239/3239 3241/3241 913/913 61/61 f 3080/3080 3241/3241 3239/3239 731/731 f 3075/3075 3241/3241 3080/3080 698/698 f 3242/3242 3243/3243 874/874 51/51 f 2284/2284 3243/3243 3242/3242 513/513 f 2290/2290 3243/3243 2284/2284 514/514 f 3244/3244 3245/3245 886/886 56/56 f 2281/2281 3245/3245 3244/3244 512/512 f 3242/3242 3245/3245 2281/2281 513/513 f 3246/3246 3247/3247 897/897 60/60 f 2276/2276 3247/3247 3246/3246 511/511 f 3244/3244 3247/3247 2276/2276 512/512 f 3248/3248 3250/3250 876/876 43/43 f 2273/2273 3250/3250 3248/3248 505/505 f 3249/3249 3250/3250 2273/2273 511/511 f 3251/3251 3252/3252 855/855 42/42 f 2249/2249 3252/3252 3251/3251 500/500 f 3248/3248 3252/3252 2249/2249 505/505 f 2231/2231 3253/3253 3251/3251 42/42 f 2233/2233 3253/3253 2231/2231 409/409 f 3246/3246 3254/3254 3249/3249 511/511 f 902/902 3254/3254 3246/3246 60/60 octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/examples/make_test.bat0000644001356000007640000000063713673436411025235 0ustar fangqadmin..\build\Windows\binaries\bin\Release\parameterize FLOAT_ELL DATA/girl_face_hires3.obj out.obj pause REM un comment the two following lines if you have a 1.3 CUDA device REM ..\build\Windows\binaries\bin\Release\parameterize DOUBLE_ELL DATA/girl_face_hires3.obj out.obj REM pause REM Example with a MatrixMarket file REM ..\build\Windows\binaries\bin\Release\mmtx CG 10000 1e-6 DATA/5pt_10x10.mtx REM pause octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/examples/make_test0000644001356000007640000001202713673436411024464 0ustar fangqadmin#!/bin/bash function TEST_MODE() { local execu="$1" local data="$2" local mode="$3" local max_iter="$4" local prec_exp="$5" local out="$6" local erreur local erreur_bc local error_msg if [ "$prec_exp" -eq 0 ]; then prec= else prec=1e-$prec_exp fi if [ "$max_iter" -eq 0 ]; then max_iter= fi $execu $mode $max_iter $prec $data $out >tmp_$mode error_msg=`grep '^ERROR' tmp_$mode` if [ ! -z "$error_msg" ]; then echo "test $mode $error_msg" return fi erreur=`grep "in OpenNL : ||Ax-b||" tmp_$mode | cut -f2 -d'=' -` solveur_time=`grep "Solver time: " tmp_$mode | cut -f2 -d':' -` #echo $solveur_time its=`grep "Used iterations: " tmp_$mode | cut -f3 -d' ' -` #gflops=`grep "Nathan Bell GFLOPs " tmp_$mode | cut -f4 -d' ' -` rm tmp_$mode # parceque bc ne gere pas la notation scientifique erreur_bc=`echo "$erreur" |sed 's/e+*\(.*\)/*10^(\1)/' ` #echo " $erreur_bc < 10^(-$prec)" | bc -l if [ $(echo " $erreur_bc < 10^(-$prec_exp)" | bc -l) -eq 1 ]; then #echo "test $mode PASSED : err = $erreur time = $solveur_time its = $its GfLops =$gflops" echo "test $mode PASSED : err = $erreur time = $solveur_time its = $its " else #echo "test $mode FAILED : err = $erreur time = $solveur_time its = $its Gflops =$gflops" echo "test $mode FAILED : err = $erreur time = $solveur_time its = $its " fi } function TEST_MMTX(){ local comma="../build/Linux-Release/binaries/bin/mmtx" local data="$1" local if_float="$2" local if_double="$3" local max_iter=100000 echo "processing $comma on file $data" if [ "$if_float" -eq 1 ]; then TEST_MODE $comma $data "FLOAT_CRS " $max_iter 6 TEST_MODE $comma $data "FLOAT_BCRS2 " $max_iter 6 TEST_MODE $comma $data "FLOAT_ELL " $max_iter 6 TEST_MODE $comma $data "FLOAT_HYB " $max_iter 6 fi if [ "$if_double" -eq 1 ]; then TEST_MODE $comma $data "DOUBLE_CRS " $max_iter 10 TEST_MODE $comma $data "DOUBLE_BCRS2" $max_iter 10 TEST_MODE $comma $data "DOUBLE_ELL " $max_iter 10 TEST_MODE $comma $data "DOUBLE_HYB " $max_iter 10 fi TEST_MODE $comma $data "CG " $max_iter 10 #TEST_MODE $comma $data "BICGSTAB " $max_iter 10 #TEST_MODE $comma $data "GMRES " $max_iter 10 } function TEST_PARAMETRIZE(){ local comma="../build/Linux-Release/binaries/bin/parameterize" local data="$1" local if_float="$2" local if_double="$3" echo "processing $comma on file $data" if [ "$if_float" -eq 1 ]; then TEST_MODE $comma $data "FLOAT_CRS " 0 0 out.obj TEST_MODE $comma $data "FLOAT_BCRS2 " 0 0 out.obj TEST_MODE $comma $data "FLOAT_ELL " 0 0 out.obj TEST_MODE $comma $data "FLOAT_HYB " 0 0 out.obj fi if [ "$if_double" -eq 1 ]; then TEST_MODE $comma $data "DOUBLE_CRS " 0 0 out.obj TEST_MODE $comma $data "DOUBLE_BCRS2" 0 0 out.obj TEST_MODE $comma $data "DOUBLE_ELL " 0 0 out.obj TEST_MODE $comma $data "DOUBLE_HYB " 0 0 out.obj fi TEST_MODE $comma $data "CG " 0 0 out.obj rm out.obj } # choice variables very_serious=0 serious=0 with_double=0 with_float=0 input_file= while getopts dsSfhi: option do case $option in h)echo $0 -s -d -S -f [-i file] echo "-f for using single floating point precision" echo "-d for using double floating point precision" echo "-s for doing serious tests" echo "-S for doing very serious tests" echo "-i for doing the tests only on a given file" exit 0 ;; f) with_float=1 ;; d) with_double=1 ;; s) serious=1 ;; S) very_serious=1 ;; i) input_file=$OPTARG ;; esac done if [ -f "$input_file" ]; then if [[ "$input_file" =~ ".mtx" ]]; then TEST_MMTX "$input_file" $with_float $with_double else TEST_PARAMETRIZE "$input_file" $with_float $with_double fi exit 0 fi if [ "$serious" -eq 0 ] && [ "$very_serious" -eq 0 ]; then TEST_PARAMETRIZE "DATA/girl_face.obj" $with_float $with_double TEST_MMTX "DATA/5pt_10x10.mtx" $with_float $with_double TEST_MMTX "DATA/test_10x10.mtx" $with_float $with_double TEST_MMTX "DATA/rand.mtx" $with_float $with_double fi if [ "$serious" -eq 1 ]; then TEST_PARAMETRIZE "DATA/girl_face_hires3.obj" $with_float $with_double if [ -f "DATA/cfd1.mtx" ]; then TEST_MMTX "DATA/cfd1.mtx" $with_float $with_double fi fi if [ "$very_serious" -eq 1 ]; then if [ -f "DATA/pdb1HYS.mtx" ]; then TEST_MMTX "DATA/pdb1HYS.mtx" $with_float $with_double fi if [ -f "DATA/consph.mtx" ]; then TEST_MMTX "DATA/consph.mtx" $with_float $with_double fi if [ -f "DATA/girl_face_hires4.obj" ]; then TEST_PARAMETRIZE "DATA/girl_face_hires4.obj" $with_float $with_double fi if [ -f "DATA/girl_face_hires5.obj" ]; then TEST_PARAMETRIZE "DATA/girl_face_hires5.obj" $with_float $with_double fi if [ -f "DATA/nd24k.mtx" ]; then TEST_MMTX "DATA/nd24k.mtx" $with_float $with_double fi fi octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/examples/mmtx/0000755001356000007640000000000013673436411023550 5ustar fangqadminoctave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/examples/mmtx/mmio.h0000644001356000007640000001015613673436411024665 0ustar fangqadmin/* * Matrix Market I/O library for ANSI C * * See http://math.nist.gov/MatrixMarket for details. * * */ #ifndef MM_IO_H #define MM_IO_H #define MM_MAX_LINE_LENGTH 1025 #define MatrixMarketBanner "%%MatrixMarket" #define MM_MAX_TOKEN_LENGTH 64 typedef char MM_typecode[4]; char *mm_typecode_to_str(MM_typecode matcode); int mm_read_banner(FILE *f, MM_typecode *matcode); int mm_read_mtx_crd_size(FILE *f, int *M, int *N, int *nz); int mm_read_mtx_array_size(FILE *f, int *M, int *N); int mm_write_banner(FILE *f, MM_typecode matcode); int mm_write_mtx_crd_size(FILE *f, int M, int N, int nz); int mm_write_mtx_array_size(FILE *f, int M, int N); /********************* MM_typecode query fucntions ***************************/ #define mm_is_matrix(typecode) ((typecode)[0]=='M') #define mm_is_sparse(typecode) ((typecode)[1]=='C') #define mm_is_coordinate(typecode)((typecode)[1]=='C') #define mm_is_dense(typecode) ((typecode)[1]=='A') #define mm_is_array(typecode) ((typecode)[1]=='A') #define mm_is_complex(typecode) ((typecode)[2]=='C') #define mm_is_real(typecode) ((typecode)[2]=='R') #define mm_is_pattern(typecode) ((typecode)[2]=='P') #define mm_is_integer(typecode) ((typecode)[2]=='I') #define mm_is_symmetric(typecode)((typecode)[3]=='S') #define mm_is_general(typecode) ((typecode)[3]=='G') #define mm_is_skew(typecode) ((typecode)[3]=='K') #define mm_is_hermitian(typecode)((typecode)[3]=='H') int mm_is_valid(MM_typecode matcode); /* too complex for a macro */ /********************* MM_typecode modify fucntions ***************************/ #define mm_set_matrix(typecode) ((*typecode)[0]='M') #define mm_set_coordinate(typecode) ((*typecode)[1]='C') #define mm_set_array(typecode) ((*typecode)[1]='A') #define mm_set_dense(typecode) mm_set_array(typecode) #define mm_set_sparse(typecode) mm_set_coordinate(typecode) #define mm_set_complex(typecode)((*typecode)[2]='C') #define mm_set_real(typecode) ((*typecode)[2]='R') #define mm_set_pattern(typecode)((*typecode)[2]='P') #define mm_set_integer(typecode)((*typecode)[2]='I') #define mm_set_symmetric(typecode)((*typecode)[3]='S') #define mm_set_general(typecode)((*typecode)[3]='G') #define mm_set_skew(typecode) ((*typecode)[3]='K') #define mm_set_hermitian(typecode)((*typecode)[3]='H') #define mm_clear_typecode(typecode) ((*typecode)[0]=(*typecode)[1]= \ (*typecode)[2]=' ',(*typecode)[3]='G') #define mm_initialize_typecode(typecode) mm_clear_typecode(typecode) /********************* Matrix Market error codes ***************************/ #define MM_COULD_NOT_READ_FILE 11 #define MM_PREMATURE_EOF 12 #define MM_NOT_MTX 13 #define MM_NO_HEADER 14 #define MM_UNSUPPORTED_TYPE 15 #define MM_LINE_TOO_LONG 16 #define MM_COULD_NOT_WRITE_FILE 17 /******************** Matrix Market internal definitions ******************** MM_matrix_typecode: 4-character sequence ojbect sparse/ data storage dense type scheme string position: [0] [1] [2] [3] Matrix typecode: M(atrix) C(oord) R(eal) G(eneral) A(array) C(omplex) H(ermitian) P(attern) S(ymmetric) I(nteger) K(kew) ***********************************************************************/ #define MM_MTX_STR "matrix" #define MM_ARRAY_STR "array" #define MM_DENSE_STR "array" #define MM_COORDINATE_STR "coordinate" #define MM_SPARSE_STR "coordinate" #define MM_COMPLEX_STR "complex" #define MM_REAL_STR "real" #define MM_INT_STR "integer" #define MM_GENERAL_STR "general" #define MM_SYMM_STR "symmetric" #define MM_HERM_STR "hermitian" #define MM_SKEW_STR "skew-symmetric" #define MM_PATTERN_STR "pattern" /* high level routines */ int mm_write_mtx_crd(char fname[], int M, int N, int nz, int I[], int J[], double val[], MM_typecode matcode); int mm_read_mtx_crd_data(FILE *f, int M, int N, int nz, int I[], int J[], double val[], MM_typecode matcode); int mm_read_mtx_crd_entry(FILE *f, int *I, int *J, double *real, double *img, MM_typecode matcode); int mm_read_unsymmetric_sparse(const char *fname, int *M_, int *N_, int *nz_, double **val_, int **I_, int **J_); #endif octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/examples/mmtx/mmtx.cpp0000644001356000007640000002125613673436411025247 0ustar fangqadmin/* * Copyright (c) 2004-2010, Bruno Levy * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * * Redistributions of source code must retain the above copyright notice, * this list of conditions and the following disclaimer. * * Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * Neither the name of the ALICE Project-Team nor the names of its * contributors may be used to endorse or promote products derived from this * software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * * If you modify this software, you should include a notice giving the * name of the person performing the modification, the date of modification, * and the reason for such modification. * * Contact: Bruno Levy * * levy@loria.fr * * ALICE Project * LORIA, INRIA Lorraine, * Campus Scientifique, BP 239 * 54506 VANDOEUVRE LES NANCY CEDEX * FRANCE * */ #include #include #include #include #include #include #include #include #include #include #include #include #include "nb_coo.h" typedef std::map mapVect; typedef std::map mapMatrix; bool isSymmetric(mapMatrix & M) { for (mapMatrix::iterator it = M.begin(); it != M.end() ; ++it) { int i = it->first; for (mapVect::iterator it2 = it->second.begin() ; it2!=it->second.end() ; ++it2) { int j = it2->first ; double val = it2->second ; if (!M.count(j)) { std::cout << i << " " << j << "but" << j << " not present" << std::endl; return false; } else if ((!M[j].count(i)) || (M[j][i]!=M[i][j])) { if (M[j].count(i)) std::cout << i << " " << j << " "<< val << " " << M[j][i] << " " << M[j][i] < coo = read_coo_matrix (const_cast(argv[4])); std::cout << "rows = " << coo.num_cols << " cols = " << coo.num_rows << " nnz = " << coo.num_nonzeros << std::endl; mapMatrix map_a; // insertion of triplet (I,(J,V)) in the multimap for(unsigned int i = 0; i < coo.num_nonzeros ; ++i) { map_a[coo.I[i]][coo.J[i]]=coo.V[i]; } int max_iter = atoi(argv[2]); double epsilon = atof(argv[3]); const char * type_solver =argv[1]; nlNewContext() ; if (!strcmp(type_solver,"CG")) { nlSolverParameteri(NL_SOLVER, NL_CG) ; nlSolverParameteri(NL_PRECONDITIONER, NL_PRECOND_JACOBI) ; } else if (!strcmp(type_solver,"BICGSTAB")) { nlSolverParameteri(NL_SOLVER, NL_BICGSTAB) ; nlSolverParameteri(NL_PRECONDITIONER, NL_PRECOND_JACOBI) ; } else if (!strcmp(type_solver,"GMRES")) { nlSolverParameteri(NL_SOLVER, NL_GMRES) ; } else if (!strcmp(type_solver,"SUPERLU")) { if(nlInitExtension("SUPERLU")) { nlSolverParameteri(NL_SOLVER, NL_PERM_SUPERLU_EXT) ; } else { std::cerr << "OpenNL has not been compiled with SuperLU support." << std::endl; exit(-1); } }else if( !strcmp(type_solver,"FLOAT_CRS") || !strcmp(type_solver,"DOUBLE_CRS") || !strcmp(type_solver,"FLOAT_BCRS2") || !strcmp(type_solver,"DOUBLE_BCRS2") || !strcmp(type_solver,"FLOAT_ELL") || !strcmp(type_solver,"DOUBLE_ELL") || !strcmp(type_solver,"FLOAT_HYB") || !strcmp(type_solver,"DOUBLE_HYB") ) { if(nlInitExtension("CNC")) { if (!strcmp(type_solver,"FLOAT_CRS")) { nlSolverParameteri(NL_SOLVER, NL_CNC_FLOAT_CRS) ; nlSolverParameteri(NL_PRECONDITIONER, NL_PRECOND_JACOBI) ; } else if (!strcmp(type_solver,"DOUBLE_CRS")) { nlSolverParameteri(NL_SOLVER, NL_CNC_DOUBLE_CRS) ; nlSolverParameteri(NL_PRECONDITIONER, NL_PRECOND_JACOBI) ; } else if (!strcmp(type_solver,"FLOAT_BCRS2")) { nlSolverParameteri(NL_SOLVER, NL_CNC_FLOAT_BCRS2) ; nlSolverParameteri(NL_PRECONDITIONER, NL_PRECOND_JACOBI) ; } else if (!strcmp(type_solver,"DOUBLE_BCRS2")) { nlSolverParameteri(NL_SOLVER, NL_CNC_DOUBLE_BCRS2) ; nlSolverParameteri(NL_PRECONDITIONER, NL_PRECOND_JACOBI) ; } else if (!strcmp(type_solver,"FLOAT_ELL")) { nlSolverParameteri(NL_SOLVER, NL_CNC_FLOAT_ELL) ; nlSolverParameteri(NL_PRECONDITIONER, NL_PRECOND_JACOBI) ; } else if (!strcmp(type_solver,"DOUBLE_ELL")) { nlSolverParameteri(NL_SOLVER, NL_CNC_DOUBLE_ELL) ; nlSolverParameteri(NL_PRECONDITIONER, NL_PRECOND_JACOBI) ; } else if (!strcmp(type_solver,"FLOAT_HYB")) { nlSolverParameteri(NL_SOLVER, NL_CNC_FLOAT_HYB) ; nlSolverParameteri(NL_PRECONDITIONER, NL_PRECOND_JACOBI) ; } else if (!strcmp(type_solver,"DOUBLE_HYB")) { nlSolverParameteri(NL_SOLVER, NL_CNC_DOUBLE_HYB) ; nlSolverParameteri(NL_PRECONDITIONER, NL_PRECOND_JACOBI) ; } } else { std::cerr << "OpenNL has not been compiled with CNC support." << std::endl; exit(-1); } } else { std::cerr << "type_solver must belong to { CG | BICGSTAB | GMRES | " << "SUPERLU | FLOAT_CRS | FLOAT_BCRS2 | DOUBLE_CRS | " << "DOUBLE_BCRS2 | FLOAT_ELL | DOUBLE_ELL | FLOAT_HYB |" << "DOUBLE_HYB } " << std::endl; exit(-1); } nlSolverParameteri(NL_NB_VARIABLES, coo.num_cols) ; if (coo.num_cols != coo.num_rows) { std::cout << "the matrix ist not square : using least-squares solutions" << std::endl; nlSolverParameteri(NL_LEAST_SQUARES, NL_TRUE) ; } else if (!isSymmetric(map_a)) { std::cout << "the matrix is not symmetric : using least-squares solutions" << std::endl; nlSolverParameteri(NL_LEAST_SQUARES, NL_TRUE) ; } else nlSolverParameteri(NL_LEAST_SQUARES, NL_FALSE); nlSolverParameteri(NL_MAX_ITERATIONS, max_iter) ; nlSolverParameterd(NL_THRESHOLD, epsilon) ; nlBegin(NL_SYSTEM) ; nlBegin(NL_MATRIX) ; // generation d'un b std::vector b(coo.num_rows,0.); for(NLuint i = 0; i < coo.num_rows; i++){ b[i] = (double)(rand() / (RAND_MAX + 1.0)); } //NLdouble scale_factor = 1.0 / (coo.num_rows*coo.num_cols); for(unsigned int i =0 ; i < coo.num_rows ; ++i) { nlRowParameterd(NL_RIGHT_HAND_SIDE,b[i]); //nlRowParameterd(NL_ROW_SCALING,scale_factor); // starting row i nlBegin(NL_ROW); if (map_a.count(i)) { // we go trough the i-th row for (mapVect::iterator it=map_a[i].begin(); it!=map_a[i].end(); ++it) nlCoefficient(it->first,it->second); } nlEnd(NL_ROW) ; } nlEnd(NL_MATRIX) ; nlEnd(NL_SYSTEM) ; std::cout << "Solving ..." << std::endl ; double time ; NLint iterations; nlSolve() ; nlGetDoublev(NL_ELAPSED_TIME, &time) ; nlGetIntergerv(NL_USED_ITERATIONS, &iterations); std::cout << "Solver time: " << time << std::endl ; std::cout << "Used iterations: " << iterations << std::endl ; nlDeleteContext(nlGetCurrent()) ; return 0; } octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/examples/mmtx/nb_coo.h0000644001356000007640000001046113673436411025162 0ustar fangqadmin#ifndef CNC_NB_COO_H #define CNC_NB_COO_H #include #include #include extern "C"{ #include "mmio.h" } template struct matrix_shape { typedef IndexType index_type; IndexType num_rows, num_cols, num_nonzeros; }; // COOrdinate matrix (aka IJV or Triplet format) template struct coo_matrix : public matrix_shape { typedef IndexType index_type; typedef ValueType value_type; IndexType * I; //row indices IndexType * J; //column indices ValueType * V; //nonzero values }; template coo_matrix read_coo_matrix(const char * mm_filename) { coo_matrix coo; FILE * fid; MM_typecode matcode; fid = fopen(mm_filename, "r"); if (fid == NULL){ printf("Unable to open file %s\n", mm_filename); exit(1); } if (mm_read_banner(fid, &matcode) != 0){ printf("Could not process Matrix Market banner.\n"); exit(1); } if (!mm_is_valid(matcode)){ printf("Invalid Matrix Market file.\n"); exit(1); } if (!((mm_is_real(matcode) || mm_is_integer(matcode) || mm_is_pattern(matcode)) && mm_is_coordinate(matcode) && mm_is_sparse(matcode) ) ){ printf("Sorry, this application does not support "); printf("Market Market type: [%s]\n", mm_typecode_to_str(matcode)); printf("Only sparse real-valued or pattern coordinate matrices are supported\n"); exit(1); } int num_rows, num_cols, num_nonzeros; if ( mm_read_mtx_crd_size(fid,&num_rows,&num_cols,&num_nonzeros) !=0) exit(1); coo.num_rows = (IndexType) num_rows; coo.num_cols = (IndexType) num_cols; coo.num_nonzeros = (IndexType) num_nonzeros; coo.I = NL_NEW_ARRAY(IndexType ,coo.num_nonzeros); coo.J = NL_NEW_ARRAY(IndexType ,coo.num_nonzeros); coo.V = NL_NEW_ARRAY(ValueType ,coo.num_nonzeros); printf("Reading sparse matrix from file (%s):",mm_filename); fflush(stdout); if (mm_is_pattern(matcode)){ // pattern matrix defines sparsity pattern, but not values for( IndexType i = 0; i < coo.num_nonzeros; i++ ){ if (fscanf(fid, " %d %d \n", &(coo.I[i]), &(coo.J[i])) >=2 ) { coo.I[i]--; //adjust from 1-based to 0-based indexing coo.J[i]--; coo.V[i] = 1.0; //use value 1.0 for all nonzero entries } } } else if (mm_is_real(matcode) || mm_is_integer(matcode)){ for( IndexType i = 0; i < coo.num_nonzeros; i++ ){ IndexType I,J; double V; // always read in a double and convert later if necessary if (fscanf(fid, " %d %d %lf \n", &I, &J, &V) >= 3) { coo.I[i] = (IndexType) I - 1; coo.J[i] = (IndexType) J - 1; coo.V[i] = (ValueType) V; } } } else { printf("Unrecognized data type\n"); exit(1); } fclose(fid); printf(" done\n"); if( mm_is_symmetric(matcode) ){ //duplicate off diagonal entries IndexType off_diagonals = 0; for( IndexType i = 0; i < coo.num_nonzeros; i++ ){ if( coo.I[i] != coo.J[i] ) off_diagonals++; } IndexType true_nonzeros = 2*off_diagonals + (coo.num_nonzeros - off_diagonals); IndexType* new_I = NL_NEW_ARRAY(IndexType,true_nonzeros); IndexType* new_J = NL_NEW_ARRAY(IndexType,true_nonzeros); ValueType * new_V = NL_NEW_ARRAY(ValueType,true_nonzeros); IndexType ptr = 0; for( IndexType i = 0; i < coo.num_nonzeros; i++ ){ if( coo.I[i] != coo.J[i] ){ new_I[ptr] = coo.I[i]; new_J[ptr] = coo.J[i]; new_V[ptr] = coo.V[i]; ptr++; new_J[ptr] = coo.I[i]; new_I[ptr] = coo.J[i]; new_V[ptr] = coo.V[i]; ptr++; } else { new_I[ptr] = coo.I[i]; new_J[ptr] = coo.J[i]; new_V[ptr] = coo.V[i]; ptr++; } } NL_DELETE_ARRAY(coo.I); NL_DELETE_ARRAY(coo.J); NL_DELETE_ARRAY(coo.V); coo.I = new_I; coo.J = new_J; coo.V = new_V; coo.num_nonzeros = true_nonzeros; } //end symmetric case return coo; } #endif octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/examples/mmtx/mmio.c0000644001356000007640000003113013673436411024653 0ustar fangqadmin/* * Matrix Market I/O library for ANSI C * * See http://math.nist.gov/MatrixMarket for details. * * */ #include #include #include #include #include "mmio.h" int mm_read_unsymmetric_sparse(const char *fname, int *M_, int *N_, int *nz_, double **val_, int **I_, int **J_) { FILE *f; MM_typecode matcode; int M, N, nz; int i; double *val; int *I, *J; if ((f = fopen(fname, "r")) == NULL) return -1; if (mm_read_banner(f, &matcode) != 0) { printf("mm_read_unsymetric: Could not process Matrix Market banner "); printf(" in file [%s]\n", fname); return -1; } if ( !(mm_is_real(matcode) && mm_is_matrix(matcode) && mm_is_sparse(matcode))) { fprintf(stderr, "Sorry, this application does not support "); fprintf(stderr, "Market Market type: [%s]\n", mm_typecode_to_str(matcode)); return -1; } /* find out size of sparse matrix: M, N, nz .... */ if (mm_read_mtx_crd_size(f, &M, &N, &nz) !=0) { fprintf(stderr, "read_unsymmetric_sparse(): could not parse matrix size.\n"); return -1; } *M_ = M; *N_ = N; *nz_ = nz; /* reseve memory for matrices */ I = (int *) malloc(nz * sizeof(int)); J = (int *) malloc(nz * sizeof(int)); val = (double *) malloc(nz * sizeof(double)); *val_ = val; *I_ = I; *J_ = J; /* NOTE: when reading in doubles, ANSI C requires the use of the "l" */ /* specifier as in "%lg", "%lf", "%le", otherwise errors will occur */ /* (ANSI C X3.159-1989, Sec. 4.9.6.2, p. 136 lines 13-15) */ for (i=0; i OFF: Be as quiet as possible (default) # ON : Describe each step # # build_configuration:STRING=<> Typically one of Debug, MinSizeRel, Release, or # RelWithDebInfo, but it should match one of the # entries in CUDA_HOST_FLAGS. This is the build # configuration used when compiling the code. If # blank or unspecified Debug is assumed as this is # what CMake does. # # generated_file:STRING=<> File to generate. This argument must be passed in. # # generated_cubin_file:STRING=<> File to generate. This argument must be passed # in if build_cubin is true. if(NOT generated_file) message(FATAL_ERROR "You must specify generated_file on the command line") endif() # Set these up as variables to make reading the generated file easier set(CMAKE_COMMAND "@CMAKE_COMMAND@") set(source_file "@source_file@") set(NVCC_generated_dependency_file "@NVCC_generated_dependency_file@") set(cmake_dependency_file "@cmake_dependency_file@") set(CUDA_make2cmake "@CUDA_make2cmake@") set(CUDA_parse_cubin "@CUDA_parse_cubin@") set(build_cubin @build_cubin@) # We won't actually use these variables for now, but we need to set this, in # order to force this file to be run again if it changes. set(generated_file_path "@generated_file_path@") set(generated_file_internal "@generated_file@") set(generated_cubin_file_internal "@generated_cubin_file@") set(CUDA_NVCC_EXECUTABLE "@CUDA_NVCC_EXECUTABLE@") set(CUDA_NVCC_FLAGS "@CUDA_NVCC_FLAGS@;;@CUDA_WRAP_OPTION_NVCC_FLAGS@") @CUDA_NVCC_FLAGS_CONFIG@ set(nvcc_flags "@nvcc_flags@") set(CUDA_NVCC_INCLUDE_ARGS "@CUDA_NVCC_INCLUDE_ARGS@") set(format_flag "@format_flag@") if(build_cubin AND NOT generated_cubin_file) message(FATAL_ERROR "You must specify generated_cubin_file on the command line") endif() # This is the list of host compilation flags. It C or CXX should already have # been chosen by FindCUDA.cmake. @CUDA_HOST_FLAGS@ # Take the compiler flags and package them up to be sent to the compiler via -Xcompiler set(nvcc_host_compiler_flags "") # If we weren't given a build_configuration, use Debug. if(NOT build_configuration) set(build_configuration Debug) endif() string(TOUPPER "${build_configuration}" build_configuration) #message("CUDA_NVCC_HOST_COMPILER_FLAGS = ${CUDA_NVCC_HOST_COMPILER_FLAGS}") foreach(flag ${CMAKE_HOST_FLAGS} ${CMAKE_HOST_FLAGS_${build_configuration}}) # Extra quotes are added around each flag to help nvcc parse out flags with spaces. set(nvcc_host_compiler_flags "${nvcc_host_compiler_flags},\"${flag}\"") endforeach() if (nvcc_host_compiler_flags) set(nvcc_host_compiler_flags "-Xcompiler" ${nvcc_host_compiler_flags}) endif() #message("nvcc_host_compiler_flags = \"${nvcc_host_compiler_flags}\"") # Add the build specific configuration flags list(APPEND CUDA_NVCC_FLAGS ${CUDA_NVCC_FLAGS_${build_configuration}}) if(DEFINED CCBIN) set(CCBIN -ccbin "${CCBIN}") endif() # cuda_execute_process - Executes a command with optional command echo and status message. # # status - Status message to print if verbose is true # command - COMMAND argument from the usual execute_process argument structure # ARGN - Remaining arguments are the command with arguments # # CUDA_result - return value from running the command # # Make this a macro instead of a function, so that things like RESULT_VARIABLE # and other return variables are present after executing the process. macro(cuda_execute_process status command) set(_command ${command}) if(NOT _command STREQUAL "COMMAND") message(FATAL_ERROR "Malformed call to cuda_execute_process. Missing COMMAND as second argument. (command = ${command})") endif() if(verbose) execute_process(COMMAND "${CMAKE_COMMAND}" -E echo -- ${status}) # Now we need to build up our command string. We are accounting for quotes # and spaces, anything else is left up to the user to fix if they want to # copy and paste a runnable command line. set(cuda_execute_process_string) foreach(arg ${ARGN}) # If there are quotes, excape them, so they come through. string(REPLACE "\"" "\\\"" arg ${arg}) # Args with spaces need quotes around them to get them to be parsed as a single argument. if(arg MATCHES " ") list(APPEND cuda_execute_process_string "\"${arg}\"") else() list(APPEND cuda_execute_process_string ${arg}) endif() endforeach() # Echo the command execute_process(COMMAND ${CMAKE_COMMAND} -E echo ${cuda_execute_process_string}) endif(verbose) # Run the command execute_process(COMMAND ${ARGN} RESULT_VARIABLE CUDA_result ) endmacro() # Delete the target file cuda_execute_process( "Removing ${generated_file}" COMMAND "${CMAKE_COMMAND}" -E remove "${generated_file}" ) # Generate the dependency file cuda_execute_process( "Generating dependency file: ${NVCC_generated_dependency_file}" COMMAND "${CUDA_NVCC_EXECUTABLE}" "${source_file}" ${CUDA_NVCC_FLAGS} ${nvcc_flags} ${CCBIN} ${nvcc_host_compiler_flags} -DNVCC -M -o "${NVCC_generated_dependency_file}" ${CUDA_NVCC_INCLUDE_ARGS} ) if(CUDA_result) message(FATAL_ERROR "Error generating ${generated_file}") endif() # Generate the cmake readable dependency file to a temp file. Don't put the # quotes just around the filenames for the input_file and output_file variables. # CMake will pass the quotes through and not be able to find the file. cuda_execute_process( "Generating temporary cmake readable file: ${cmake_dependency_file}.tmp" COMMAND "${CMAKE_COMMAND}" -D "input_file:FILEPATH=${NVCC_generated_dependency_file}" -D "output_file:FILEPATH=${cmake_dependency_file}.tmp" -P "${CUDA_make2cmake}" ) if(CUDA_result) message(FATAL_ERROR "Error generating ${generated_file}") endif() # Copy the file if it is different cuda_execute_process( "Copy if different ${cmake_dependency_file}.tmp to ${cmake_dependency_file}" COMMAND "${CMAKE_COMMAND}" -E copy_if_different "${cmake_dependency_file}.tmp" "${cmake_dependency_file}" ) if(CUDA_result) message(FATAL_ERROR "Error generating ${generated_file}") endif() # Delete the temporary file cuda_execute_process( "Removing ${cmake_dependency_file}.tmp and ${NVCC_generated_dependency_file}" COMMAND "${CMAKE_COMMAND}" -E remove "${cmake_dependency_file}.tmp" "${NVCC_generated_dependency_file}" ) if(CUDA_result) message(FATAL_ERROR "Error generating ${generated_file}") endif() # Generate the code cuda_execute_process( "Generating ${generated_file}" COMMAND "${CUDA_NVCC_EXECUTABLE}" "${source_file}" ${CUDA_NVCC_FLAGS} ${nvcc_flags} @CUDA_COMPILE_TIME_EXTRA_FLAGS@ ${CCBIN} ${nvcc_host_compiler_flags} -DNVCC ${format_flag} -o "${generated_file}" ${CUDA_NVCC_INCLUDE_ARGS} ) if(CUDA_result) # Since nvcc can sometimes leave half done files make sure that we delete the output file. cuda_execute_process( "Removing ${generated_file}" COMMAND "${CMAKE_COMMAND}" -E remove "${generated_file}" ) message(FATAL_ERROR "Error generating file ${generated_file}") else() if(verbose) message("Generated ${generated_file} successfully.") endif() endif() # Cubin resource report commands. if( build_cubin ) # Run with -cubin to produce resource usage report. cuda_execute_process( "Generating ${generated_cubin_file}" COMMAND "${CUDA_NVCC_EXECUTABLE}" "${source_file}" ${CUDA_NVCC_FLAGS} ${nvcc_flags} ${CCBIN} ${nvcc_host_compiler_flags} -DNVCC -cubin -o "${generated_cubin_file}" ${CUDA_NVCC_INCLUDE_ARGS} ) # Execute the parser script. cuda_execute_process( "Executing the parser script" COMMAND "${CMAKE_COMMAND}" -D "input_file:STRING=${generated_cubin_file}" -P "${CUDA_parse_cubin}" ) endif( build_cubin ) octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/CMakeModules/FindCUDA/make2cmake.cmake0000644001356000007640000000576213673436411027607 0ustar fangqadmin# James Bigler, NVIDIA Corp (nvidia.com - jbigler) # Abe Stephens, SCI Institute -- http://www.sci.utah.edu/~abe/FindCuda.html # # Copyright (c) 2008 - 2009 NVIDIA Corporation. All rights reserved. # # Copyright (c) 2007-2009 # Scientific Computing and Imaging Institute, University of Utah # # This code is licensed under the MIT License. See the FindCUDA.cmake script # for the text of the license. # The MIT License # # License for the specific language governing rights and limitations under # Permission is hereby granted, free of charge, to any person obtaining a # copy of this software and associated documentation files (the "Software"), # to deal in the Software without restriction, including without limitation # the rights to use, copy, modify, merge, publish, distribute, sublicense, # and/or sell copies of the Software, and to permit persons to whom the # Software is furnished to do so, subject to the following conditions: # # The above copyright notice and this permission notice shall be included # in all copies or substantial portions of the Software. # # THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS # OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, # FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL # THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER # LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING # FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER # DEALINGS IN THE SOFTWARE. # ####################################################################### # This converts a file written in makefile syntax into one that can be included # by CMake. file(READ ${input_file} depend_text) if (${depend_text} MATCHES ".+") # message("FOUND DEPENDS") # Remember, four backslashes is escaped to one backslash in the string. string(REGEX REPLACE "\\\\ " " " depend_text ${depend_text}) # This works for the nvcc -M generated dependency files. string(REGEX REPLACE "^.* : " "" depend_text ${depend_text}) string(REGEX REPLACE "[ \\\\]*\n" ";" depend_text ${depend_text}) set(dependency_list "") foreach(file ${depend_text}) string(REGEX REPLACE "^ +" "" file ${file}) if(NOT IS_DIRECTORY ${file}) # If softlinks start to matter, we should change this to REALPATH. For now we need # to flatten paths, because nvcc can generate stuff like /bin/../include instead of # just /include. get_filename_component(file_absolute "${file}" ABSOLUTE) list(APPEND dependency_list "${file_absolute}") endif(NOT IS_DIRECTORY ${file}) endforeach(file) else() # message("FOUND NO DEPENDS") endif() # Remove the duplicate entries and sort them. list(REMOVE_DUPLICATES dependency_list) list(SORT dependency_list) foreach(file ${dependency_list}) set(cuda_nvcc_depend "${cuda_nvcc_depend} \"${file}\"\n") endforeach() file(WRITE ${output_file} "# Generated by: make2cmake.cmake\nSET(CUDA_NVCC_DEPEND\n ${cuda_nvcc_depend})\n\n") octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/CMakeModules/FindCUDA.cmake0000644001356000007640000014631013673436411025602 0ustar fangqadmin# - Tools for building CUDA C files: libraries and build dependencies. # This script locates the NVIDIA CUDA C tools. It should work on linux, windows, # and mac and should be reasonably up to date with CUDA C releases. # # This script makes use of the standard find_package arguments of , # REQUIRED and QUIET. CUDA_FOUND will report if an acceptable version of CUDA # was found. # # The script will prompt the user to specify CUDA_TOOLKIT_ROOT_DIR if the prefix # cannot be determined by the location of nvcc in the system path and REQUIRED # is specified to find_package(). To use a different installed version of the # toolkit set the environment variable CUDA_BIN_PATH before running cmake # (e.g. CUDA_BIN_PATH=/usr/local/cuda1.0 instead of the default /usr/local/cuda) # or set CUDA_TOOLKIT_ROOT_DIR after configuring. If you change the value of # CUDA_TOOLKIT_ROOT_DIR, various components that depend on the path will be # relocated. # # It might be necessary to set CUDA_TOOLKIT_ROOT_DIR manually on certain # platforms, or to use a cuda runtime not installed in the default location. In # newer versions of the toolkit the cuda library is included with the graphics # driver- be sure that the driver version matches what is needed by the cuda # runtime version. # # The following variables affect the behavior of the macros in the script (in # alphebetical order). Note that any of these flags can be changed multiple # times in the same directory before calling CUDA_ADD_EXECUTABLE, # CUDA_ADD_LIBRARY, CUDA_COMPILE, CUDA_COMPILE_PTX or CUDA_WRAP_SRCS. # # CUDA_64_BIT_DEVICE_CODE (Default matches host bit size) # -- Set to ON to compile for 64 bit device code, OFF for 32 bit device code. # Note that making this different from the host code when generating object # or C files from CUDA code just won't work, because size_t gets defined by # nvcc in the generated source. If you compile to PTX and then load the # file yourself, you can mix bit sizes between device and host. # # CUDA_ATTACH_VS_BUILD_RULE_TO_CUDA_FILE (Default ON) # -- Set to ON if you want the custom build rule to be attached to the source # file in Visual Studio. Turn OFF if you add the same cuda file to multiple # targets. # # This allows the user to build the target from the CUDA file; however, bad # things can happen if the CUDA source file is added to multiple targets. # When performing parallel builds it is possible for the custom build # command to be run more than once and in parallel causing cryptic build # errors. VS runs the rules for every source file in the target, and a # source can have only one rule no matter how many projects it is added to. # When the rule is run from multiple targets race conditions can occur on # the generated file. Eventually everything will get built, but if the user # is unaware of this behavior, there may be confusion. It would be nice if # this script could detect the reuse of source files across multiple targets # and turn the option off for the user, but no good solution could be found. # # CUDA_BUILD_CUBIN (Default OFF) # -- Set to ON to enable and extra compilation pass with the -cubin option in # Device mode. The output is parsed and register, shared memory usage is # printed during build. # # CUDA_BUILD_EMULATION (Default OFF for device mode) # -- Set to ON for Emulation mode. -D_DEVICEEMU is defined for CUDA C files # when CUDA_BUILD_EMULATION is TRUE. # # CUDA_GENERATED_OUTPUT_DIR (Default CMAKE_CURRENT_BINARY_DIR) # -- Set to the path you wish to have the generated files placed. If it is # blank output files will be placed in CMAKE_CURRENT_BINARY_DIR. # Intermediate files will always be placed in # CMAKE_CURRENT_BINARY_DIR/CMakeFiles. # # CUDA_HOST_COMPILATION_CPP (Default ON) # -- Set to OFF for C compilation of host code. # # CUDA_NVCC_FLAGS # CUDA_NVCC_FLAGS_ # -- Additional NVCC command line arguments. NOTE: multiple arguments must be # semi-colon delimited (e.g. --compiler-options;-Wall) # # CUDA_PROPAGATE_HOST_FLAGS (Default ON) # -- Set to ON to propagate CMAKE_{C,CXX}_FLAGS and their configuration # dependent counterparts (e.g. CMAKE_C_FLAGS_DEBUG) automatically to the # host compiler through nvcc's -Xcompiler flag. This helps make the # generated host code match the rest of the system better. Sometimes # certain flags give nvcc problems, and this will help you turn the flag # propagation off. This does not affect the flags supplied directly to nvcc # via CUDA_NVCC_FLAGS or through the OPTION flags specified through # CUDA_ADD_LIBRARY, CUDA_ADD_EXECUTABLE, or CUDA_WRAP_SRCS. Flags used for # shared library compilation are not affected by this flag. # # CUDA_VERBOSE_BUILD (Default OFF) # -- Set to ON to see all the commands used when building the CUDA file. When # using a Makefile generator the value defaults to VERBOSE (run make # VERBOSE=1 to see output), although setting CUDA_VERBOSE_BUILD to ON will # always print the output. # # The script creates the following macros (in alphebetical order): # # CUDA_ADD_CUFFT_TO_TARGET( cuda_target ) # -- Adds the cufft library to the target (can be any target). Handles whether # you are in emulation mode or not. # # CUDA_ADD_CUBLAS_TO_TARGET( cuda_target ) # -- Adds the cublas library to the target (can be any target). Handles # whether you are in emulation mode or not. # # CUDA_ADD_EXECUTABLE( cuda_target file0 file1 ... # [WIN32] [MACOSX_BUNDLE] [EXCLUDE_FROM_ALL] [OPTIONS ...] ) # -- Creates an executable "cuda_target" which is made up of the files # specified. All of the non CUDA C files are compiled using the standard # build rules specified by CMAKE and the cuda files are compiled to object # files using nvcc and the host compiler. In addition CUDA_INCLUDE_DIRS is # added automatically to include_directories(). Standard CMake target calls # can be used on the target after calling this macro # (e.g. set_target_properties and target_link_libraries). # # CUDA_ADD_LIBRARY( cuda_target file0 file1 ... # [STATIC | SHARED | MODULE] [EXCLUDE_FROM_ALL] [OPTIONS ...] ) # -- Same as CUDA_ADD_EXECUTABLE except that a library is created. # # CUDA_BUILD_CLEAN_TARGET() # -- Creates a convience target that deletes all the dependency files # generated. You should make clean after running this target to ensure the # dependency files get regenerated. # # CUDA_COMPILE( generated_files file0 file1 ... [STATIC | SHARED | MODULE] # [OPTIONS ...] ) # -- Returns a list of generated files from the input source files to be used # with ADD_LIBRARY or ADD_EXECUTABLE. # # CUDA_COMPILE_PTX( generated_files file0 file1 ... [OPTIONS ...] ) # -- Returns a list of PTX files generated from the input source files. # # CUDA_INCLUDE_DIRECTORIES( path0 path1 ... ) # -- Sets the directories that should be passed to nvcc # (e.g. nvcc -Ipath0 -Ipath1 ... ). These paths usually contain other .cu # files. # # CUDA_WRAP_SRCS ( cuda_target format generated_files file0 file1 ... # [STATIC | SHARED | MODULE] [OPTIONS ...] ) # -- This is where all the magic happens. CUDA_ADD_EXECUTABLE, # CUDA_ADD_LIBRARY, CUDA_COMPILE, and CUDA_COMPILE_PTX all call this # function under the hood. # # Given the list of files (file0 file1 ... fileN) this macro generates # custom commands that generate either PTX or linkable objects (use "PTX" or # "OBJ" for the format argument to switch). Files that don't end with .cu # or have the HEADER_FILE_ONLY property are ignored. # # The arguments passed in after OPTIONS are extra command line options to # give to nvcc. You can also specify per configuration options by # specifying the name of the configuration followed by the options. General # options must preceed configuration specific options. Not all # configurations need to be specified, only the ones provided will be used. # # OPTIONS -DFLAG=2 "-DFLAG_OTHER=space in flag" # DEBUG -g # RELEASE --use_fast_math # RELWITHDEBINFO --use_fast_math;-g # MINSIZEREL --use_fast_math # # For certain configurations (namely VS generating object files with # CUDA_ATTACH_VS_BUILD_RULE_TO_CUDA_FILE set to ON), no generated file will # be produced for the given cuda file. This is because when you add the # cuda file to Visual Studio it knows that this file produces an object file # and will link in the resulting object file automatically. # # This script will also generate a separate cmake script that is used at # build time to invoke nvcc. This is for serveral reasons. # # 1. nvcc can return negative numbers as return values which confuses # Visual Studio into thinking that the command succeeded. The script now # checks the error codes and produces errors when there was a problem. # # 2. nvcc has been known to not delete incomplete results when it # encounters problems. This confuses build systems into thinking the # target was generated when in fact an unusable file exists. The script # now deletes the output files if there was an error. # # 3. By putting all the options that affect the build into a file and then # make the build rule dependent on the file, the output files will be # regenerated when the options change. # # This script also looks at optional arguments STATIC, SHARED, or MODULE to # determine when to target the object compilation for a shared library. # BUILD_SHARED_LIBS is ignored in CUDA_WRAP_SRCS, but it is respected in # CUDA_ADD_LIBRARY. On some systems special flags are added for building # objects intended for shared libraries. A preprocessor macro, # _EXPORTS is defined when a shared library compilation is # detected. # # Flags passed into add_definitions with -D or /D are passed along to nvcc. # # The script defines the following variables: # # CUDA_VERSION_MAJOR -- The major version of cuda as reported by nvcc. # CUDA_VERSION_MINOR -- The minor version. # CUDA_VERSION # CUDA_VERSION_STRING -- CUDA_VERSION_MAJOR.CUDA_VERSION_MINOR # # CUDA_TOOLKIT_ROOT_DIR -- Path to the CUDA Toolkit (defined if not set). # CUDA_SDK_ROOT_DIR -- Path to the CUDA SDK. Use this to find files in the # SDK. This script will not directly support finding # specific libraries or headers, as that isn't # supported by NVIDIA. If you want to change # libraries when the path changes see the # FindCUDA.cmake script for an example of how to clear # these variables. There are also examples of how to # use the CUDA_SDK_ROOT_DIR to locate headers or # libraries, if you so choose (at your own risk). # CUDA_INCLUDE_DIRS -- Include directory for cuda headers. Added automatically # for CUDA_ADD_EXECUTABLE and CUDA_ADD_LIBRARY. # CUDA_LIBRARIES -- Cuda RT library. # CUDA_CUFFT_LIBRARIES -- Device or emulation library for the Cuda FFT # implementation (alternative to: # CUDA_ADD_CUFFT_TO_TARGET macro) # CUDA_CUBLAS_LIBRARIES -- Device or emulation library for the Cuda BLAS # implementation (alterative to: # CUDA_ADD_CUBLAS_TO_TARGET macro). # # # James Bigler, NVIDIA Corp (nvidia.com - jbigler) # Abe Stephens, SCI Institute -- http://www.sci.utah.edu/~abe/FindCuda.html # # Copyright (c) 2008 - 2009 NVIDIA Corporation. All rights reserved. # # Copyright (c) 2007-2009 # Scientific Computing and Imaging Institute, University of Utah # # This code is licensed under the MIT License. See the FindCUDA.cmake script # for the text of the license. # The MIT License # # License for the specific language governing rights and limitations under # Permission is hereby granted, free of charge, to any person obtaining a # copy of this software and associated documentation files (the "Software"), # to deal in the Software without restriction, including without limitation # the rights to use, copy, modify, merge, publish, distribute, sublicense, # and/or sell copies of the Software, and to permit persons to whom the # Software is furnished to do so, subject to the following conditions: # # The above copyright notice and this permission notice shall be included # in all copies or substantial portions of the Software. # # THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS # OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, # FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL # THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER # LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING # FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER # DEALINGS IN THE SOFTWARE. # ############################################################################### # FindCUDA.cmake # We need to have at least this version to support the VERSION_LESS argument to 'if' (2.6.2) and unset (2.6.3) cmake_policy(PUSH) cmake_minimum_required(VERSION 2.6.3) cmake_policy(POP) # This macro helps us find the location of helper files we will need the full path to macro(CUDA_FIND_HELPER_FILE _name _extension) set(_full_name "${_name}.${_extension}") # CMAKE_CURRENT_LIST_FILE contains the full path to the file currently being # processed. Using this variable, we can pull out the current path, and # provide a way to get access to the other files we need local to here. get_filename_component(CMAKE_CURRENT_LIST_DIR "${CMAKE_CURRENT_LIST_FILE}" PATH) find_file(CUDA_${_name} ${_full_name} PATHS ${CMAKE_CURRENT_LIST_DIR}/FindCUDA NO_DEFAULT_PATH) if(NOT CUDA_${_name}) set(error_message "${_full_name} not found in CMAKE_MODULE_PATH") if(CUDA_FIND_REQUIRED) message(FATAL_ERROR "${error_message}") else(CUDA_FIND_REQUIRED) if(NOT CUDA_FIND_QUIETLY) message(STATUS "${error_message}") endif(NOT CUDA_FIND_QUIETLY) endif(CUDA_FIND_REQUIRED) endif(NOT CUDA_${_name}) # Set this variable as internal, so the user isn't bugged with it. set(CUDA_${_name} ${CUDA_${_name}} CACHE INTERNAL "Location of ${_full_name}" FORCE) endmacro(CUDA_FIND_HELPER_FILE) ##################################################################### ## CUDA_INCLUDE_NVCC_DEPENDENCIES ## # So we want to try and include the dependency file if it exists. If # it doesn't exist then we need to create an empty one, so we can # include it. # If it does exist, then we need to check to see if all the files it # depends on exist. If they don't then we should clear the dependency # file and regenerate it later. This covers the case where a header # file has disappeared or moved. macro(CUDA_INCLUDE_NVCC_DEPENDENCIES dependency_file) set(CUDA_NVCC_DEPEND) set(CUDA_NVCC_DEPEND_REGENERATE FALSE) # Include the dependency file. Create it first if it doesn't exist . The # INCLUDE puts a dependency that will force CMake to rerun and bring in the # new info when it changes. DO NOT REMOVE THIS (as I did and spent a few # hours figuring out why it didn't work. if(NOT EXISTS ${dependency_file}) file(WRITE ${dependency_file} "#FindCUDA.cmake generated file. Do not edit.\n") endif() # Always include this file to force CMake to run again next # invocation and rebuild the dependencies. #message("including dependency_file = ${dependency_file}") include(${dependency_file}) # Now we need to verify the existence of all the included files # here. If they aren't there we need to just blank this variable and # make the file regenerate again. # if(DEFINED CUDA_NVCC_DEPEND) # message("CUDA_NVCC_DEPEND set") # else() # message("CUDA_NVCC_DEPEND NOT set") # endif() if(CUDA_NVCC_DEPEND) #message("CUDA_NVCC_DEPEND true") foreach(f ${CUDA_NVCC_DEPEND}) #message("searching for ${f}") if(NOT EXISTS ${f}) #message("file ${f} not found") set(CUDA_NVCC_DEPEND_REGENERATE TRUE) endif() endforeach(f) else(CUDA_NVCC_DEPEND) #message("CUDA_NVCC_DEPEND false") # No dependencies, so regenerate the file. set(CUDA_NVCC_DEPEND_REGENERATE TRUE) endif(CUDA_NVCC_DEPEND) #message("CUDA_NVCC_DEPEND_REGENERATE = ${CUDA_NVCC_DEPEND_REGENERATE}") # No incoming dependencies, so we need to generate them. Make the # output depend on the dependency file itself, which should cause the # rule to re-run. if(CUDA_NVCC_DEPEND_REGENERATE) file(WRITE ${dependency_file} "#FindCUDA.cmake generated file. Do not edit.\n") endif(CUDA_NVCC_DEPEND_REGENERATE) endmacro(CUDA_INCLUDE_NVCC_DEPENDENCIES) ############################################################################### ############################################################################### # Setup variables' defaults ############################################################################### ############################################################################### # Allow the user to specify if the device code is supposed to be 32 or 64 bit. if(CMAKE_SIZEOF_VOID_P EQUAL 8) set(CUDA_64_BIT_DEVICE_CODE_DEFAULT ON) else() set(CUDA_64_BIT_DEVICE_CODE_DEFAULT OFF) endif() option(CUDA_64_BIT_DEVICE_CODE "Compile device code in 64 bit mode" ${CUDA_64_BIT_DEVICE_CODE_DEFAULT}) # Attach the build rule to the source file in VS. This option option(CUDA_ATTACH_VS_BUILD_RULE_TO_CUDA_FILE "Attach the build rule to the CUDA source file. Enable only when the CUDA source file is added to at most one target." ON) # Prints out extra information about the cuda file during compilation option(CUDA_BUILD_CUBIN "Generate and parse .cubin files in Device mode." OFF) # Set whether we are using emulation or device mode. option(CUDA_BUILD_EMULATION "Build in Emulation mode" OFF) # Where to put the generated output. set(CUDA_GENERATED_OUTPUT_DIR "" CACHE PATH "Directory to put all the output files. If blank it will default to the CMAKE_CURRENT_BINARY_DIR") # Parse HOST_COMPILATION mode. option(CUDA_HOST_COMPILATION_CPP "Generated file extension" ON) # Extra user settable flags set(CUDA_NVCC_FLAGS "" CACHE STRING "Semi-colon delimit multiple arguments.") # Propagate the host flags to the host compiler via -Xcompiler option(CUDA_PROPAGATE_HOST_FLAGS "Propage C/CXX_FLAGS and friends to the host compiler via -Xcompile" ON) # Specifies whether the commands used when compiling the .cu file will be printed out. option(CUDA_VERBOSE_BUILD "Print out the commands run while compiling the CUDA source file. With the Makefile generator this defaults to VERBOSE variable specified on the command line, but can be forced on with this option." OFF) mark_as_advanced( CUDA_64_BIT_DEVICE_CODE CUDA_ATTACH_VS_BUILD_RULE_TO_CUDA_FILE CUDA_GENERATED_OUTPUT_DIR CUDA_HOST_COMPILATION_CPP CUDA_NVCC_FLAGS CUDA_PROPAGATE_HOST_FLAGS ) # Makefile and similar generators don't define CMAKE_CONFIGURATION_TYPES, so we # need to add another entry for the CMAKE_BUILD_TYPE. We also need to add the # standerd set of 4 build types (Debug, MinSizeRel, Release, and RelWithDebInfo) # for completeness. We need run this loop in order to accomodate the addition # of extra configuration types. Duplicate entries will be removed by # REMOVE_DUPLICATES. set(CUDA_configuration_types ${CMAKE_CONFIGURATION_TYPES} ${CMAKE_BUILD_TYPE} Debug MinSizeRel Release RelWithDebInfo) list(REMOVE_DUPLICATES CUDA_configuration_types) foreach(config ${CUDA_configuration_types}) string(TOUPPER ${config} config_upper) set(CUDA_NVCC_FLAGS_${config_upper} "" CACHE STRING "Semi-colon delimit multiple arguments.") mark_as_advanced(CUDA_NVCC_FLAGS_${config_upper}) endforeach() ############################################################################### ############################################################################### # Locate CUDA, Set Build Type, etc. ############################################################################### ############################################################################### # Check to see if the CUDA_TOOLKIT_ROOT_DIR and CUDA_SDK_ROOT_DIR have changed, # if they have then clear the cache variables, so that will be detected again. if(NOT "${CUDA_TOOLKIT_ROOT_DIR}" STREQUAL "${CUDA_TOOLKIT_ROOT_DIR_INTERNAL}") unset(CUDA_NVCC_EXECUTABLE CACHE) unset(CUDA_VERSION CACHE) unset(CUDA_TOOLKIT_INCLUDE CACHE) unset(CUDA_CUDART_LIBRARY CACHE) unset(CUDA_CUDA_LIBRARY CACHE) unset(CUDA_cublas_LIBRARY CACHE) unset(CUDA_cublasemu_LIBRARY CACHE) unset(CUDA_cufft_LIBRARY CACHE) unset(CUDA_cufftemu_LIBRARY CACHE) endif() if(NOT "${CUDA_SDK_ROOT_DIR}" STREQUAL "${CUDA_SDK_ROOT_DIR_INTERNAL}") # No specific variables to catch. Use this kind of code before calling # find_package(CUDA) to clean up any variables that may depend on this path. # unset(MY_SPECIAL_CUDA_SDK_INCLUDE_DIR CACHE) # unset(MY_SPECIAL_CUDA_SDK_LIBRARY CACHE) endif() # Search for the cuda distribution. if(NOT CUDA_TOOLKIT_ROOT_DIR) # Search in the CUDA_BIN_PATH first. find_path(CUDA_TOOLKIT_ROOT_DIR NAMES nvcc nvcc.exe PATHS ENV CUDA_BIN_PATH DOC "Toolkit location." NO_DEFAULT_PATH ) # Now search default paths find_path(CUDA_TOOLKIT_ROOT_DIR NAMES nvcc nvcc.exe PATHS /usr/local/bin /usr/local/cuda/bin DOC "Toolkit location." ) if (CUDA_TOOLKIT_ROOT_DIR) string(REGEX REPLACE "[/\\\\]?bin[64]*[/\\\\]?$" "" CUDA_TOOLKIT_ROOT_DIR ${CUDA_TOOLKIT_ROOT_DIR}) # We need to force this back into the cache. set(CUDA_TOOLKIT_ROOT_DIR ${CUDA_TOOLKIT_ROOT_DIR} CACHE PATH "Toolkit location." FORCE) endif(CUDA_TOOLKIT_ROOT_DIR) if (NOT EXISTS ${CUDA_TOOLKIT_ROOT_DIR}) if(CUDA_FIND_REQUIRED) message(FATAL_ERROR "Specify CUDA_TOOLKIT_ROOT_DIR") elseif(NOT CUDA_FIND_QUIETLY) message("CUDA_TOOLKIT_ROOT_DIR not found or specified") endif() endif (NOT EXISTS ${CUDA_TOOLKIT_ROOT_DIR}) endif (NOT CUDA_TOOLKIT_ROOT_DIR) # CUDA_NVCC_EXECUTABLE find_program(CUDA_NVCC_EXECUTABLE NAMES nvcc PATHS "${CUDA_TOOLKIT_ROOT_DIR}/bin" "${CUDA_TOOLKIT_ROOT_DIR}/bin64" ENV CUDA_BIN_PATH NO_DEFAULT_PATH ) # Search default search paths, after we search our own set of paths. find_program(CUDA_NVCC_EXECUTABLE nvcc) mark_as_advanced(CUDA_NVCC_EXECUTABLE) if(CUDA_NVCC_EXECUTABLE AND NOT CUDA_VERSION) # Compute the version. exec_program(${CUDA_NVCC_EXECUTABLE} ARGS "--version" OUTPUT_VARIABLE NVCC_OUT) string(REGEX REPLACE ".*release ([0-9]+)\\.([0-9]+).*" "\\1" CUDA_VERSION_MAJOR ${NVCC_OUT}) string(REGEX REPLACE ".*release ([0-9]+)\\.([0-9]+).*" "\\2" CUDA_VERSION_MINOR ${NVCC_OUT}) set(CUDA_VERSION "${CUDA_VERSION_MAJOR}.${CUDA_VERSION_MINOR}" CACHE STRING "Version of CUDA as computed from nvcc.") mark_as_advanced(CUDA_VERSION) endif() # Always set this convenience variable set(CUDA_VERSION_STRING "${CUDA_VERSION}") # Here we need to determine if the version we found is acceptable. We will # assume that is unless CUDA_FIND_VERSION_EXACT or CUDA_FIND_VERSION is # specified. The presence of either of these options checks the version # string and signals if the version is acceptable or not. set(_cuda_version_acceptable TRUE) # if(CUDA_FIND_VERSION_EXACT AND NOT CUDA_VERSION VERSION_EQUAL CUDA_FIND_VERSION) set(_cuda_version_acceptable FALSE) endif() # if(CUDA_FIND_VERSION AND CUDA_VERSION VERSION_LESS CUDA_FIND_VERSION) set(_cuda_version_acceptable FALSE) endif() # if(NOT _cuda_version_acceptable) set(_cuda_error_message "Requested CUDA version ${CUDA_FIND_VERSION}, but found unacceptable version ${CUDA_VERSION}") if(CUDA_FIND_REQUIRED) message("${_cuda_error_message}") elseif(NOT CUDA_FIND_QUIETLY) message("${_cuda_error_message}") endif() endif() # CUDA_TOOLKIT_INCLUDE find_path(CUDA_TOOLKIT_INCLUDE device_functions.h # Header included in toolkit PATHS "${CUDA_TOOLKIT_ROOT_DIR}/include" ENV CUDA_INC_PATH NO_DEFAULT_PATH ) # Search default search paths, after we search our own set of paths. find_path(CUDA_TOOLKIT_INCLUDE device_functions.h) mark_as_advanced(CUDA_TOOLKIT_INCLUDE) # Set the user list of include dir to nothing to initialize it. set (CUDA_NVCC_INCLUDE_ARGS_USER "") set (CUDA_INCLUDE_DIRS ${CUDA_TOOLKIT_INCLUDE}) macro(FIND_LIBRARY_LOCAL_FIRST _var _names _doc) if(CMAKE_SIZEOF_VOID_P EQUAL 8) set(_cuda_64bit_lib_dir "${CUDA_TOOLKIT_ROOT_DIR}/lib64") endif() find_library(${_var} NAMES ${_names} PATHS ${_cuda_64bit_lib_dir} "${CUDA_TOOLKIT_ROOT_DIR}/lib" ENV CUDA_LIB_PATH DOC ${_doc} NO_DEFAULT_PATH ) # Search default search paths, after we search our own set of paths. find_library(${_var} NAMES ${_names} DOC ${_doc}) endmacro() # CUDA_LIBRARIES find_library_local_first(CUDA_CUDART_LIBRARY cudart "\"cudart\" library") set(CUDA_LIBRARIES ${CUDA_CUDART_LIBRARY}) # 1.1 toolkit on linux doesn't appear to have a separate library on # some platforms. find_library_local_first(CUDA_CUDA_LIBRARY cuda "\"cuda\" library (older versions only).") # Add cuda library to the link line only if it is found. if (CUDA_CUDA_LIBRARY) set(CUDA_LIBRARIES ${CUDA_LIBRARIES} ${CUDA_CUDA_LIBRARY}) endif(CUDA_CUDA_LIBRARY) mark_as_advanced( CUDA_CUDA_LIBRARY CUDA_CUDART_LIBRARY ) ####################### # Look for some of the toolkit helper libraries macro(FIND_CUDA_HELPER_LIBS _name) find_library_local_first(CUDA_${_name}_LIBRARY ${_name} "\"${_name}\" library") mark_as_advanced(CUDA_${_name}_LIBRARY) endmacro(FIND_CUDA_HELPER_LIBS) # Search for cufft and cublas libraries. find_cuda_helper_libs(cufftemu) find_cuda_helper_libs(cublasemu) find_cuda_helper_libs(cufft) find_cuda_helper_libs(cublas) if (CUDA_BUILD_EMULATION) set(CUDA_CUFFT_LIBRARIES ${CUDA_cufftemu_LIBRARY}) set(CUDA_CUBLAS_LIBRARIES ${CUDA_cublasemu_LIBRARY}) else() set(CUDA_CUFFT_LIBRARIES ${CUDA_cufft_LIBRARY}) set(CUDA_CUBLAS_LIBRARIES ${CUDA_cublas_LIBRARY}) endif() ######################## # Look for the SDK stuff find_path(CUDA_SDK_ROOT_DIR common/inc/cutil.h "$ENV{NVSDKCUDA_ROOT}" "[HKEY_LOCAL_MACHINE\\SOFTWARE\\NVIDIA Corporation\\Installed Products\\NVIDIA SDK 10\\Compute;InstallDir]" "/Developer/GPU\ Computing/C" ) # Keep the CUDA_SDK_ROOT_DIR first in order to be able to override the # environment variables. set(CUDA_SDK_SEARCH_PATH "${CUDA_SDK_ROOT_DIR}" "${CUDA_TOOLKIT_ROOT_DIR}/local/NVSDK0.2" "${CUDA_TOOLKIT_ROOT_DIR}/NVSDK0.2" "${CUDA_TOOLKIT_ROOT_DIR}/NV_CUDA_SDK" "$ENV{HOME}/NVIDIA_CUDA_SDK" "$ENV{HOME}/NVIDIA_CUDA_SDK_MACOSX" "/Developer/CUDA" ) # Example of how to find an include file from the CUDA_SDK_ROOT_DIR # find_path(CUDA_CUT_INCLUDE_DIR # cutil.h # PATHS ${CUDA_SDK_SEARCH_PATH} # PATH_SUFFIXES "common/inc" # DOC "Location of cutil.h" # NO_DEFAULT_PATH # ) # # Now search system paths # find_path(CUDA_CUT_INCLUDE_DIR cutil.h DOC "Location of cutil.h") # mark_as_advanced(CUDA_CUT_INCLUDE_DIR) # Example of how to find a library in the CUDA_SDK_ROOT_DIR # # cutil library is called cutil64 for 64 bit builds on windows. We don't want # # to get these confused, so we are setting the name based on the word size of # # the build. # if(CMAKE_SIZEOF_VOID_P EQUAL 8) # set(cuda_cutil_name cutil64) # else(CMAKE_SIZEOF_VOID_P EQUAL 8) # set(cuda_cutil_name cutil32) # endif(CMAKE_SIZEOF_VOID_P EQUAL 8) # find_library(CUDA_CUT_LIBRARY # NAMES cutil ${cuda_cutil_name} # PATHS ${CUDA_SDK_SEARCH_PATH} # # The new version of the sdk shows up in common/lib, but the old one is in lib # PATH_SUFFIXES "common/lib" "lib" # DOC "Location of cutil library" # NO_DEFAULT_PATH # ) # # Now search system paths # find_library(CUDA_CUT_LIBRARY NAMES cutil ${cuda_cutil_name} DOC "Location of cutil library") # mark_as_advanced(CUDA_CUT_LIBRARY) # set(CUDA_CUT_LIBRARIES ${CUDA_CUT_LIBRARY}) ############################# # Check for required components set(CUDA_FOUND TRUE) set(CUDA_TOOLKIT_ROOT_DIR_INTERNAL "${CUDA_TOOLKIT_ROOT_DIR}" CACHE INTERNAL "This is the value of the last time CUDA_TOOLKIT_ROOT_DIR was set successfully." FORCE) set(CUDA_SDK_ROOT_DIR_INTERNAL "${CUDA_SDK_ROOT_DIR}" CACHE INTERNAL "This is the value of the last time CUDA_SDK_ROOT_DIR was set successfully." FORCE) include(FindPackageHandleStandardArgs) find_package_handle_standard_args(CUDA DEFAULT_MSG CUDA_TOOLKIT_ROOT_DIR CUDA_NVCC_EXECUTABLE CUDA_INCLUDE_DIRS CUDA_CUDART_LIBRARY _cuda_version_acceptable ) ############################################################################### ############################################################################### # Macros ############################################################################### ############################################################################### ############################################################################### # Add include directories to pass to the nvcc command. macro(CUDA_INCLUDE_DIRECTORIES) foreach(dir ${ARGN}) list(APPEND CUDA_NVCC_INCLUDE_ARGS_USER "-I${dir}") endforeach(dir ${ARGN}) endmacro(CUDA_INCLUDE_DIRECTORIES) ############################################################################## cuda_find_helper_file(parse_cubin cmake) cuda_find_helper_file(make2cmake cmake) cuda_find_helper_file(run_nvcc cmake) ############################################################################## # Separate the OPTIONS out from the sources # macro(CUDA_GET_SOURCES_AND_OPTIONS _sources _cmake_options _options) set( ${_sources} ) set( ${_cmake_options} ) set( ${_options} ) set( _found_options FALSE ) foreach(arg ${ARGN}) if(arg STREQUAL "OPTIONS") set( _found_options TRUE ) elseif( arg STREQUAL "WIN32" OR arg STREQUAL "MACOSX_BUNDLE" OR arg STREQUAL "EXCLUDE_FROM_ALL" OR arg STREQUAL "STATIC" OR arg STREQUAL "SHARED" OR arg STREQUAL "MODULE" ) list(APPEND ${_cmake_options} "${arg}") else() if ( _found_options ) list(APPEND ${_options} "${arg}") else() # Assume this is a file list(APPEND ${_sources} "${arg}") endif() endif() endforeach() endmacro() ############################################################################## # Parse the OPTIONS from ARGN and set the variables prefixed by _option_prefix # macro(CUDA_PARSE_NVCC_OPTIONS _option_prefix) set( _found_config ) foreach(arg ${ARGN}) # Determine if we are dealing with a perconfiguration flag foreach(config ${CUDA_configuration_types}) string(TOUPPER ${config} config_upper) if (arg STREQUAL "${config_upper}") set( _found_config _${arg}) # Set arg to nothing to keep it from being processed further set( arg ) endif() endforeach() if ( arg ) list(APPEND ${_option_prefix}${_found_config} "${arg}") endif() endforeach() endmacro() ############################################################################## # Helper to add the include directory for CUDA only once function(CUDA_ADD_CUDA_INCLUDE_ONCE) get_directory_property(_include_directories INCLUDE_DIRECTORIES) set(_add TRUE) if(_include_directories) foreach(dir ${_include_directories}) if("${dir}" STREQUAL "${CUDA_INCLUDE_DIRS}") set(_add FALSE) endif() endforeach() endif() if(_add) include_directories(${CUDA_INCLUDE_DIRS}) endif() endfunction() function(CUDA_BUILD_SHARED_LIBRARY shared_flag) set(cmake_args ${ARGN}) # If SHARED, MODULE, or STATIC aren't already in the list of arguments, then # add SHARED or STATIC based on the value of BUILD_SHARED_LIBS. list(FIND cmake_args SHARED _cuda_found_SHARED) list(FIND cmake_args MODULE _cuda_found_MODULE) list(FIND cmake_args STATIC _cuda_found_STATIC) if( _cuda_found_SHARED GREATER -1 OR _cuda_found_MODULE GREATER -1 OR _cuda_found_STATIC GREATER -1) set(_cuda_build_shared_libs) else() if (BUILD_SHARED_LIBS) set(_cuda_build_shared_libs SHARED) else() set(_cuda_build_shared_libs STATIC) endif() endif() set(${shared_flag} ${_cuda_build_shared_libs} PARENT_SCOPE) endfunction() ############################################################################## # This helper macro populates the following variables and setups up custom # commands and targets to invoke the nvcc compiler to generate C or PTX source # dependant upon the format parameter. The compiler is invoked once with -M # to generate a dependency file and a second time with -cuda or -ptx to generate # a .cpp or .ptx file. # INPUT: # cuda_target - Target name # format - PTX or OBJ # FILE1 .. FILEN - The remaining arguments are the sources to be wrapped. # OPTIONS - Extra options to NVCC # OUTPUT: # generated_files - List of generated files ############################################################################## ############################################################################## macro(CUDA_WRAP_SRCS cuda_target format generated_files) if( ${format} MATCHES "PTX" ) set( compile_to_ptx ON ) elseif( ${format} MATCHES "OBJ") set( compile_to_ptx OFF ) else() message( FATAL_ERROR "Invalid format flag passed to CUDA_WRAP_SRCS: '${format}'. Use OBJ or PTX.") endif() # Set up all the command line flags here, so that they can be overriden on a per target basis. set(nvcc_flags "") # Emulation if the card isn't present. if (CUDA_BUILD_EMULATION) # Emulation. set(nvcc_flags ${nvcc_flags} --device-emulation -D_DEVICEEMU -g) else(CUDA_BUILD_EMULATION) # Device mode. No flags necessary. endif(CUDA_BUILD_EMULATION) if(CUDA_HOST_COMPILATION_CPP) set(CUDA_C_OR_CXX CXX) else(CUDA_HOST_COMPILATION_CPP) set(nvcc_flags ${nvcc_flags} --host-compilation C) set(CUDA_C_OR_CXX C) endif(CUDA_HOST_COMPILATION_CPP) set(generated_extension ${CMAKE_${CUDA_C_OR_CXX}_OUTPUT_EXTENSION}) if(CUDA_64_BIT_DEVICE_CODE) set(nvcc_flags ${nvcc_flags} -m64) else() set(nvcc_flags ${nvcc_flags} -m32) endif() # This needs to be passed in at this stage, because VS needs to fill out the # value of VCInstallDir from within VS. if(CMAKE_GENERATOR MATCHES "Visual Studio") if( CMAKE_SIZEOF_VOID_P EQUAL 8 ) # Add nvcc flag for 64b Windows set(ccbin_flags -D "\"CCBIN:PATH=$(VCInstallDir)bin\"" ) endif() endif() # Figure out which configure we will use and pass that in as an argument to # the script. We need to defer the decision until compilation time, because # for VS projects we won't know if we are making a debug or release build # until build time. if(CMAKE_GENERATOR MATCHES "Visual Studio") set( CUDA_build_configuration "$(ConfigurationName)" ) else() set( CUDA_build_configuration "${CMAKE_BUILD_TYPE}") endif() # Initialize our list of includes with the user ones followed by the CUDA system ones. set(CUDA_NVCC_INCLUDE_ARGS ${CUDA_NVCC_INCLUDE_ARGS_USER} "-I${CUDA_INCLUDE_DIRS}") # Get the include directories for this directory and use them for our nvcc command. get_directory_property(CUDA_NVCC_INCLUDE_DIRECTORIES INCLUDE_DIRECTORIES) if(CUDA_NVCC_INCLUDE_DIRECTORIES) foreach(dir ${CUDA_NVCC_INCLUDE_DIRECTORIES}) list(APPEND CUDA_NVCC_INCLUDE_ARGS "-I${dir}") endforeach() endif() # Reset these variables set(CUDA_WRAP_OPTION_NVCC_FLAGS) foreach(config ${CUDA_configuration_types}) string(TOUPPER ${config} config_upper) set(CUDA_WRAP_OPTION_NVCC_FLAGS_${config_upper}) endforeach() CUDA_GET_SOURCES_AND_OPTIONS(_cuda_wrap_sources _cuda_wrap_cmake_options _cuda_wrap_options ${ARGN}) CUDA_PARSE_NVCC_OPTIONS(CUDA_WRAP_OPTION_NVCC_FLAGS ${_cuda_wrap_options}) # Figure out if we are building a shared library. BUILD_SHARED_LIBS is # respected in CUDA_ADD_LIBRARY. set(_cuda_build_shared_libs FALSE) # SHARED, MODULE list(FIND _cuda_wrap_cmake_options SHARED _cuda_found_SHARED) list(FIND _cuda_wrap_cmake_options MODULE _cuda_found_MODULE) if(_cuda_found_SHARED GREATER -1 OR _cuda_found_MODULE GREATER -1) set(_cuda_build_shared_libs TRUE) endif() # STATIC list(FIND _cuda_wrap_cmake_options STATIC _cuda_found_STATIC) if(_cuda_found_STATIC GREATER -1) set(_cuda_build_shared_libs FALSE) endif() # CUDA_HOST_FLAGS if(_cuda_build_shared_libs) # If we are setting up code for a shared library, then we need to add extra flags for # compiling objects for shared libraries. set(CUDA_HOST_SHARED_FLAGS ${CMAKE_SHARED_LIBRARY_${CUDA_C_OR_CXX}_FLAGS}) else() set(CUDA_HOST_SHARED_FLAGS) endif() # Only add the CMAKE_{C,CXX}_FLAGS if we are propagating host flags. We # always need to set the SHARED_FLAGS, though. if(CUDA_PROPAGATE_HOST_FLAGS) set(CUDA_HOST_FLAGS "set(CMAKE_HOST_FLAGS ${CMAKE_${CUDA_C_OR_CXX}_FLAGS} ${CUDA_HOST_SHARED_FLAGS})") else() set(CUDA_HOST_FLAGS "set(CMAKE_HOST_FLAGS ${CUDA_HOST_SHARED_FLAGS})") endif() set(CUDA_NVCC_FLAGS_CONFIG "# Build specific configuration flags") # Loop over all the configuration types to generate appropriate flags for run_nvcc.cmake foreach(config ${CUDA_configuration_types}) string(TOUPPER ${config} config_upper) # CMAKE_FLAGS are strings and not lists. By not putting quotes around CMAKE_FLAGS # we convert the strings to lists (like we want). if(CUDA_PROPAGATE_HOST_FLAGS) # nvcc chokes on -g3, so replace it with -g if(CMAKE_COMPILER_IS_GNUCC) string(REPLACE "-g3" "-g" _cuda_C_FLAGS "${CMAKE_${CUDA_C_OR_CXX}_FLAGS_${config_upper}}") else() set(_cuda_C_FLAGS "${CMAKE_${CUDA_C_OR_CXX}_FLAGS_${config_upper}}") endif() set(CUDA_HOST_FLAGS "${CUDA_HOST_FLAGS}\nset(CMAKE_HOST_FLAGS_${config_upper} ${_cuda_C_FLAGS})") endif() # Note that if we ever want CUDA_NVCC_FLAGS_ to be string (instead of a list # like it is currently), we can remove the quotes around the # ${CUDA_NVCC_FLAGS_${config_upper}} variable like the CMAKE_HOST_FLAGS_ variable. set(CUDA_NVCC_FLAGS_CONFIG "${CUDA_NVCC_FLAGS_CONFIG}\nset(CUDA_NVCC_FLAGS_${config_upper} \"${CUDA_NVCC_FLAGS_${config_upper}};;${CUDA_WRAP_OPTION_NVCC_FLAGS_${config_upper}}\")") endforeach() if(compile_to_ptx) # Don't use any of the host compilation flags for PTX targets. set(CUDA_HOST_FLAGS) set(CUDA_NVCC_FLAGS_CONFIG) endif() # Get the list of definitions from the directory property get_directory_property(CUDA_NVCC_DEFINITIONS COMPILE_DEFINITIONS) if(CUDA_NVCC_DEFINITIONS) foreach(_definition ${CUDA_NVCC_DEFINITIONS}) list(APPEND nvcc_flags "-D${_definition}") endforeach() endif() if(_cuda_build_shared_libs) list(APPEND nvcc_flags "-D${cuda_target}_EXPORTS") endif() # Determine output directory if(CUDA_GENERATED_OUTPUT_DIR) set(cuda_compile_output_dir "${CUDA_GENERATED_OUTPUT_DIR}") else() set(cuda_compile_output_dir "${CMAKE_CURRENT_BINARY_DIR}") endif() # Reset the output variable set(_cuda_wrap_generated_files "") # Iterate over the macro arguments and create custom # commands for all the .cu files. foreach(file ${ARGN}) # Ignore any file marked as a HEADER_FILE_ONLY get_source_file_property(_is_header ${file} HEADER_FILE_ONLY) if(${file} MATCHES ".*\\.cu$" AND NOT _is_header) # Add a custom target to generate a c or ptx file. ###################### get_filename_component( basename ${file} NAME ) if( compile_to_ptx ) set(generated_file_path "${cuda_compile_output_dir}") set(generated_file_basename "${cuda_target}_generated_${basename}.ptx") set(format_flag "-ptx") file(MAKE_DIRECTORY "${cuda_compile_output_dir}") else( compile_to_ptx ) set(generated_file_path "${cuda_compile_output_dir}/${CMAKE_CFG_INTDIR}") set(generated_file_basename "${cuda_target}_generated_${basename}${generated_extension}") set(format_flag "-c") endif( compile_to_ptx ) # Set all of our file names. Make sure that whatever filenames that have # generated_file_path in them get passed in through as a command line # argument, so that the ${CMAKE_CFG_INTDIR} gets expanded at run time # instead of configure time. set(generated_file "${generated_file_path}/${generated_file_basename}") set(cmake_dependency_file "${CMAKE_CURRENT_BINARY_DIR}/CMakeFiles/${generated_file_basename}.depend") set(NVCC_generated_dependency_file "${CMAKE_CURRENT_BINARY_DIR}/CMakeFiles/${generated_file_basename}.NVCC-depend") set(generated_cubin_file "${generated_file_path}/${generated_file_basename}.cubin.txt") set(custom_target_script "${CMAKE_CURRENT_BINARY_DIR}/CMakeFiles/${generated_file_basename}.cmake") # Setup properties for obj files: if( NOT compile_to_ptx ) set_source_files_properties("${generated_file}" PROPERTIES EXTERNAL_OBJECT true # This is an object file not to be compiled, but only be linked. ) endif() # Don't add CMAKE_CURRENT_SOURCE_DIR if the path is already an absolute path. get_filename_component(file_path "${file}" PATH) if(IS_ABSOLUTE "${file_path}") set(source_file "${file}") else() set(source_file "${CMAKE_CURRENT_SOURCE_DIR}/${file}") endif() # Bring in the dependencies. Creates a variable CUDA_NVCC_DEPEND ####### cuda_include_nvcc_dependencies(${cmake_dependency_file}) # Convience string for output ########################################### if(CUDA_BUILD_EMULATION) set(cuda_build_type "Emulation") else(CUDA_BUILD_EMULATION) set(cuda_build_type "Device") endif(CUDA_BUILD_EMULATION) # Build the NVCC made dependency file ################################### set(build_cubin OFF) if ( NOT CUDA_BUILD_EMULATION AND CUDA_BUILD_CUBIN ) if ( NOT compile_to_ptx ) set ( build_cubin ON ) endif( NOT compile_to_ptx ) endif( NOT CUDA_BUILD_EMULATION AND CUDA_BUILD_CUBIN ) # Configure the build script configure_file("${CUDA_run_nvcc}" "${custom_target_script}" @ONLY) # So if a user specifies the same cuda file as input more than once, you # can have bad things happen with dependencies. Here we check an option # to see if this is the behavior they want. if(CUDA_ATTACH_VS_BUILD_RULE_TO_CUDA_FILE) set(main_dep MAIN_DEPENDENCY ${source_file}) else() set(main_dep DEPENDS ${source_file}) endif() if(CUDA_VERBOSE_BUILD) set(verbose_output ON) elseif(CMAKE_GENERATOR MATCHES "Makefiles") set(verbose_output "$(VERBOSE)") else() set(verbose_output OFF) endif() # Create up the comment string file(RELATIVE_PATH generated_file_relative_path "${CMAKE_BINARY_DIR}" "${generated_file}") if(compile_to_ptx) set(cuda_build_comment_string "Building NVCC ptx file ${generated_file_relative_path}") else() set(cuda_build_comment_string "Building NVCC (${cuda_build_type}) object ${generated_file_relative_path}") endif() # Build the generated file and dependency file ########################## add_custom_command( OUTPUT ${generated_file} # These output files depend on the source_file and the contents of cmake_dependency_file ${main_dep} DEPENDS ${CUDA_NVCC_DEPEND} DEPENDS ${custom_target_script} # Make sure the output directory exists before trying to write to it. COMMAND ${CMAKE_COMMAND} -E make_directory "${generated_file_path}" COMMAND ${CMAKE_COMMAND} ARGS -D verbose:BOOL=${verbose_output} ${ccbin_flags} -D build_configuration:STRING=${CUDA_build_configuration} -D "generated_file:STRING=${generated_file}" -D "generated_cubin_file:STRING=${generated_cubin_file}" -P "${custom_target_script}" COMMENT "${cuda_build_comment_string}" ) # Make sure the build system knows the file is generated. set_source_files_properties(${generated_file} PROPERTIES GENERATED TRUE) # Don't add the object file to the list of generated files if we are using # visual studio and we are attaching the build rule to the cuda file. VS # will add our object file to the linker automatically for us. set(cuda_add_generated_file TRUE) if(NOT compile_to_ptx AND CMAKE_GENERATOR MATCHES "Visual Studio" AND CUDA_ATTACH_VS_BUILD_RULE_TO_CUDA_FILE) # Visual Studio 8 crashes when you close the solution when you don't add the object file. if(NOT CMAKE_GENERATOR MATCHES "Visual Studio 8") #message("Not adding ${generated_file}") set(cuda_add_generated_file FALSE) endif() endif() if(cuda_add_generated_file) list(APPEND _cuda_wrap_generated_files ${generated_file}) endif() # Add the other files that we want cmake to clean on a cleanup ########## list(APPEND CUDA_ADDITIONAL_CLEAN_FILES "${cmake_dependency_file}") list(REMOVE_DUPLICATES CUDA_ADDITIONAL_CLEAN_FILES) set(CUDA_ADDITIONAL_CLEAN_FILES ${CUDA_ADDITIONAL_CLEAN_FILES} CACHE INTERNAL "List of intermediate files that are part of the cuda dependency scanning.") endif(${file} MATCHES ".*\\.cu$" AND NOT _is_header) endforeach(file) # Set the return parameter set(${generated_files} ${_cuda_wrap_generated_files}) endmacro(CUDA_WRAP_SRCS) ############################################################################### ############################################################################### # ADD LIBRARY ############################################################################### ############################################################################### macro(CUDA_ADD_LIBRARY cuda_target) CUDA_ADD_CUDA_INCLUDE_ONCE() # Separate the sources from the options CUDA_GET_SOURCES_AND_OPTIONS(_sources _cmake_options _options ${ARGN}) CUDA_BUILD_SHARED_LIBRARY(_cuda_shared_flag ${ARGN}) # Create custom commands and targets for each file. CUDA_WRAP_SRCS( ${cuda_target} OBJ _generated_files ${_sources} ${_cmake_options} ${_cuda_shared_flag} OPTIONS ${_options} ) # Add the library. add_library(${cuda_target} ${_cmake_options} ${_generated_files} ${_sources} ) target_link_libraries(${cuda_target} ${CUDA_LIBRARIES} ) # We need to set the linker language based on what the expected generated file # would be. CUDA_C_OR_CXX is computed based on CUDA_HOST_COMPILATION_CPP. set_target_properties(${cuda_target} PROPERTIES LINKER_LANGUAGE ${CUDA_C_OR_CXX} ) endmacro(CUDA_ADD_LIBRARY cuda_target) ############################################################################### ############################################################################### # ADD EXECUTABLE ############################################################################### ############################################################################### macro(CUDA_ADD_EXECUTABLE cuda_target) CUDA_ADD_CUDA_INCLUDE_ONCE() # Separate the sources from the options CUDA_GET_SOURCES_AND_OPTIONS(_sources _cmake_options _options ${ARGN}) # Create custom commands and targets for each file. CUDA_WRAP_SRCS( ${cuda_target} OBJ _generated_files ${_sources} OPTIONS ${_options} ) # Add the library. add_executable(${cuda_target} ${_cmake_options} ${_generated_files} ${_sources} ) target_link_libraries(${cuda_target} ${CUDA_LIBRARIES} ) # We need to set the linker language based on what the expected generated file # would be. CUDA_C_OR_CXX is computed based on CUDA_HOST_COMPILATION_CPP. set_target_properties(${cuda_target} PROPERTIES LINKER_LANGUAGE ${CUDA_C_OR_CXX} ) endmacro(CUDA_ADD_EXECUTABLE cuda_target) ############################################################################### ############################################################################### # CUDA COMPILE ############################################################################### ############################################################################### macro(CUDA_COMPILE generated_files) # Separate the sources from the options CUDA_GET_SOURCES_AND_OPTIONS(_sources _cmake_options _options ${ARGN}) # Create custom commands and targets for each file. CUDA_WRAP_SRCS( cuda_compile OBJ _generated_files ${_sources} ${_cmake_options} OPTIONS ${_options} ) set( ${generated_files} ${_generated_files}) endmacro(CUDA_COMPILE) ############################################################################### ############################################################################### # CUDA COMPILE PTX ############################################################################### ############################################################################### macro(CUDA_COMPILE_PTX generated_files) # Separate the sources from the options CUDA_GET_SOURCES_AND_OPTIONS(_sources _cmake_options _options ${ARGN}) # Create custom commands and targets for each file. CUDA_WRAP_SRCS( cuda_compile_ptx PTX _generated_files ${_sources} ${_cmake_options} OPTIONS ${_options} ) set( ${generated_files} ${_generated_files}) endmacro(CUDA_COMPILE_PTX) ############################################################################### ############################################################################### # CUDA ADD CUFFT TO TARGET ############################################################################### ############################################################################### macro(CUDA_ADD_CUFFT_TO_TARGET target) if (CUDA_BUILD_EMULATION) target_link_libraries(${target} ${CUDA_cufftemu_LIBRARY}) else() target_link_libraries(${target} ${CUDA_cufft_LIBRARY}) endif() endmacro() ############################################################################### ############################################################################### # CUDA ADD CUBLAS TO TARGET ############################################################################### ############################################################################### macro(CUDA_ADD_CUBLAS_TO_TARGET target) if (CUDA_BUILD_EMULATION) target_link_libraries(${target} ${CUDA_cublasemu_LIBRARY}) else() target_link_libraries(${target} ${CUDA_cublas_LIBRARY}) endif() endmacro() ############################################################################### ############################################################################### # CUDA BUILD CLEAN TARGET ############################################################################### ############################################################################### macro(CUDA_BUILD_CLEAN_TARGET) # Call this after you add all your CUDA targets, and you will get a convience # target. You should also make clean after running this target to get the # build system to generate all the code again. set(cuda_clean_target_name clean_cuda_depends) if (CMAKE_GENERATOR MATCHES "Visual Studio") string(TOUPPER ${cuda_clean_target_name} cuda_clean_target_name) endif() add_custom_target(${cuda_clean_target_name} COMMAND ${CMAKE_COMMAND} -E remove ${CUDA_ADDITIONAL_CLEAN_FILES}) # Clear out the variable, so the next time we configure it will be empty. # This is useful so that the files won't persist in the list after targets # have been removed. set(CUDA_ADDITIONAL_CLEAN_FILES "" CACHE INTERNAL "List of intermediate files that are part of the cuda dependency scanning.") endmacro(CUDA_BUILD_CLEAN_TARGET) octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/CMakeOptions.txt.sample0000644001356000007640000001004613673436411025323 0ustar fangqadmin#Copyright (c) 2004-2010, Bruno Levy #All rights reserved. # #Redistribution and use in source and binary forms, with or without #modification, are permitted provided that the following conditions are met: # # * Redistributions of source code must retain the above copyright notice, # this list of conditions and the following disclaimer. # * Redistributions in binary form must reproduce the above copyright notice, # this list of conditions and the following disclaimer in the documentation # and/or other materials provided with the distribution. # * Neither the name of the ALICE Project-Team nor the names of its # contributors may be used to endorse or promote products derived from this # software without specific prior written permission. # #THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND #ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED #WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE #DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE #FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL #DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR #SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER #CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, #OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE #OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ################################################################## # Options # Use this file as a template to create CMakeOptions.txt # # Set the appropriate variables to tweak the build, then run # ./configure on GNU/Linux plateforms or configure.bat on Windows # plateforms. ################################################################## # build exemple programs SET(BUILD_EXAMPLES TRUE) # To enable (expensive) runtime checks in debug mode, uncomment next line. # This can be used to detect out of bounds indices. #SET(PARANOID_DEBUG TRUE) ################################################################## # Extensions ################################################################## ########### # SuperLU ########### # To enable SuperLU support, uncomment next line. # Note: check in SUPERLUHOME/make.inc that CDEFS = -DAdd_ # (with a single underscore) rather than -DAdd__ (with two # underscores). If you got two underscores, remove the # second one, make clean and re-make SuperLU. #SET(USE_SUPERLU TRUE) # Edit these lines to match your installation SET(SUPERLU_HOME /home/yourself/SuperLU_4.0 ) SET(SUPERLU_NAME superlu_4.0) ########### # CNC ########### # Concurrent Number Cruncher (CNC): a general purpose symmetric sparse solver # on the GPU. # Uncomment this line to enable CNC support. #SET(USE_CNC TRUE) # Uncomment the line corresponding to your device. # For the complete list of compute capability of all CUDA-enabled products, # see Appendix A.1 of the NVIDIA CUDA Programming Guide. #SET(CNC_NVCC_FLAGS -arch=sm_10) #SET(CNC_NVCC_FLAGS -arch=sm_11) #SET(CNC_NVCC_FLAGS -arch=sm_12) #SET(CNC_NVCC_FLAGS -arch=sm_13) #SET(CNC_NVCC_FLAGS -arch=sm_20;-Xptxas;-dlcm=cg) # DEPRECATED Uncomment to enable automatic optimisations for your machine. If you # don't use this, you could have to set the values yourself (cf doc/README.txt). #SET(CNC_OPTIMIZE_FOR_THIS_MACHINE TRUE) # If you are using a recent version of gcc, you may need to use an older one # with nvcc (e.g. gcc 4.3 for nvcc 3.0). In this case, create symlinks named # gcc and g++ in a folder, and add the name of this folder here. #SET(CNC_NVCC_FLAGS ${CNC_NVCC_FLAGS};--compiler-bindir=/opt/gcc-4.3) # Uncomment to enable thread debugging in CUDA #SET(CUDA_DEBUG_THREADS TRUE) # Uncomment to enable emulation of CUDA device (very slow but works on machines # without a CUDA-enabled device) #SET(CUDA_BUILD_EMULATION TRUE) ########### # ATLAS ########### # If your BLAS implementation is ATLAS, uncomment the next line. #SET(USE_ATLAS TRUE) octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/CMakeLists.txt0000644001356000007640000000674513673436411023521 0ustar fangqadmin###################################### # CMake version checks ###################################### if(COMMAND cmake_minimum_required) cmake_minimum_required(VERSION 2.4) endif(COMMAND cmake_minimum_required) if(COMMAND cmake_policy) if(POLICY CMP0003) cmake_policy(SET CMP0003 OLD) endif(POLICY CMP0003) if(POLICY CMP0005) cmake_policy(SET CMP0005 OLD) endif(POLICY CMP0005) if(POLICY CMP0011) cmake_policy(SET CMP0011 OLD) # or NEW endif(POLICY CMP0011) endif(COMMAND cmake_policy) ###################################### # Project ###################################### PROJECT(OpenNL3) SET(GEEX_BUILD_PATH ${PROJECT_BINARY_DIR}) SET(BINARIES_RELATIVE_PATH /binaries/bin/) IF (WIN32) SET(LIBRARIES_RELATIVE_PATH /binaries/bin/) ELSE(WIN32) SET(LIBRARIES_RELATIVE_PATH /binaries/lib/) ENDIF(WIN32) IF(WIN32) SET(LIBRARY_OUTPUT_PATH ${PROJECT_BINARY_DIR}${BINARIES_RELATIVE_PATH}) ELSE(WIN32) SET(LIBRARY_OUTPUT_PATH ${PROJECT_BINARY_DIR}${LIBRARIES_RELATIVE_PATH}) ENDIF(WIN32) SET(EXECUTABLE_OUTPUT_PATH ${PROJECT_BINARY_DIR}${BINARIES_RELATIVE_PATH}) IF (EXISTS ${CMAKE_SOURCE_DIR}/CMakeOptions.txt) MESSAGE(INFO: "Using local options file: " ${CMAKE_SOURCE_DIR}/CMakeOptions.txt) INCLUDE(${CMAKE_SOURCE_DIR}/CMakeOptions.txt) ENDIF(EXISTS ${CMAKE_SOURCE_DIR}/CMakeOptions.txt) IF(USE_CNC) ADD_DEFINITIONS(-DNL_USE_CNC) IF(CUDA_BUILD_EMULATION) ADD_DEFINITIONS(-D__DEVICE_EMULATION__) ENDIF(CUDA_BUILD_EMULATION) IF(WIN32) ADD_DEFINITIONS(-DOS_WIN) ELSE(WIN32) ADD_DEFINITIONS(-DOS_LINUX) ENDIF(WIN32) INCLUDE(${CMAKE_SOURCE_DIR}/CMakeModules/FindCUDA.cmake) IF (CMAKE_BUILD_TYPE MATCHES Debug) SET(CUDA_COMPILE_TIME_EXTRA_FLAGS -G) ENDIF (CMAKE_BUILD_TYPE MATCHES Debug) IF(CNC_OPTIMIZE_FOR_THIS_MACHINE) IF(COMMAND CUDA_DISCOVER_DEVICE_FLAGS) ELSE(COMMAND CUDA_DISCOVER_DEVICE_FLAGS) TRY_COMPILE(COMPILE_OK ${PROJECT_BINARY_DIR}/CMake ${PROJECT_SOURCE_DIR}/CMake CUDA_DISCOVER_DEVICE_FLAGS) IF(NOT COMPILE_OK) IF(WIN32) MESSAGE("error compiling CUDA_DISCOVER_DEVICE_FLAGS extention") ELSE(WIN32) MESSAGE(FATAL_ERROR "error compiling CUDA_DISCOVER_DEVICE_FLAGS extention") ENDIF(WIN32) ENDIF(NOT COMPILE_OK) LOAD_COMMAND(CUDA_DISCOVER_DEVICE_FLAGS ${PROJECT_BINARY_DIR}/CMake ${PROJECT_BINARY_DIR}/CMake/Debug) ENDIF(COMMAND CUDA_DISCOVER_DEVICE_FLAGS) CUDA_DISCOVER_DEVICE_FLAGS() SET(CUDA_NVCC_FLAGS ${CUDA_NVCC_FLAGS} ${CUDA_DEVICE_FLAGS} ) ADD_DEFINITIONS(${CUDA_DEVICE_FLAGS}) ELSE(CNC_OPTIMIZE_FOR_THIS_MACHINE) SET(CUDA_NVCC_FLAGS ${CNC_NVCC_FLAGS}) ENDIF(CNC_OPTIMIZE_FOR_THIS_MACHINE) ENDIF(USE_CNC) IF (CMAKE_BUILD_TYPE MATCHES Debug) ADD_DEFINITIONS(-DNL_DEBUG) IF(PARANOID_DEBUG) ADD_DEFINITIONS(-DNL_PARANOID) ENDIF(PARANOID_DEBUG) ENDIF (CMAKE_BUILD_TYPE MATCHES Debug) ######################################### # ADD HERE ADDITIONAL INCLUDE DIRECTORIES ######################################### INCLUDE_DIRECTORIES(${CMAKE_SOURCE_DIR}) INCLUDE_DIRECTORIES(src) ######################################### # ADD HERE SUBDIRECTORIES ######################################### ADD_SUBDIRECTORY(src) IF(BUILD_EXAMPLES) ADD_SUBDIRECTORY(examples) ENDIF(BUILD_EXAMPLES) IF(WIN32) MESSAGE("Configure done. You may need to click on configure again if the OK button is disabled") ENDIF(WIN32) octave-iso2mesh-1.9.6+ds/meshfix/contrib/OpenNL3.2.1/configure.sh0000644001356000007640000000160113673436411023260 0ustar fangqadmin#!/bin/sh # This file for Linux users, # launches CMake and creates configuration for # Release and Debug modes. echo ============= Checking for cmake ============ if (cmake --version) then echo "found CMake" else echo "cmake not found, please install it (see http://www.cmake.org/)" exit fi os=`uname` for config in Release Debug do echo echo ============= Creating makefiles for $config mode ============ mkdir -p build/$os-$config (cd build/$os-$config; cmake ../../ -DCMAKE_BUILD_TYPE:STRING=$config) done echo echo ============== OpenNL build configured ================== cat << EOF to build the libBL library : go to build/$os-Release or build/$os-Debug and 'make' Note: local configuration can be specified in CMakeOptions.txt (see CMakeOptions.txt.sample for an example) You'll need to re-run configure.sh if you create or modify CMakeOptions.txt EOF octave-iso2mesh-1.9.6+ds/meshfix/gpl.txt0000644001356000007640000004362613673436411017126 0ustar fangqadmin GNU GENERAL PUBLIC LICENSE Version 2, June 1991 Copyright (C) 1989, 1991 Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA Everyone is permitted to copy and distribute verbatim copies of this license document, but changing it is not allowed. Preamble The licenses for most software are designed to take away your freedom to share and change it. By contrast, the GNU General Public License is intended to guarantee your freedom to share and change free software--to make sure the software is free for all its users. This General Public License applies to most of the Free Software Foundation's software and to any other program whose authors commit to using it. (Some other Free Software Foundation software is covered by the GNU Lesser General Public License instead.) You can apply it to your programs, too. When we speak of free software, we are referring to freedom, not price. Our General Public Licenses are designed to make sure that you have the freedom to distribute copies of free software (and charge for this service if you wish), that you receive source code or can get it if you want it, that you can change the software or use pieces of it in new free programs; and that you know you can do these things. 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If the software is modified by someone else and passed on, we want its recipients to know that what they have is not the original, so that any problems introduced by others will not reflect on the original authors' reputations. Finally, any free program is threatened constantly by software patents. We wish to avoid the danger that redistributors of a free program will individually obtain patent licenses, in effect making the program proprietary. To prevent this, we have made it clear that any patent must be licensed for everyone's free use or not licensed at all. The precise terms and conditions for copying, distribution and modification follow. GNU GENERAL PUBLIC LICENSE TERMS AND CONDITIONS FOR COPYING, DISTRIBUTION AND MODIFICATION 0. This License applies to any program or other work which contains a notice placed by the copyright holder saying it may be distributed under the terms of this General Public License. The "Program", below, refers to any such program or work, and a "work based on the Program" means either the Program or any derivative work under copyright law: that is to say, a work containing the Program or a portion of it, either verbatim or with modifications and/or translated into another language. (Hereinafter, translation is included without limitation in the term "modification".) Each licensee is addressed as "you". Activities other than copying, distribution and modification are not covered by this License; they are outside its scope. The act of running the Program is not restricted, and the output from the Program is covered only if its contents constitute a work based on the Program (independent of having been made by running the Program). Whether that is true depends on what the Program does. 1. You may copy and distribute verbatim copies of the Program's source code as you receive it, in any medium, provided that you conspicuously and appropriately publish on each copy an appropriate copyright notice and disclaimer of warranty; keep intact all the notices that refer to this License and to the absence of any warranty; and give any other recipients of the Program a copy of this License along with the Program. You may charge a fee for the physical act of transferring a copy, and you may at your option offer warranty protection in exchange for a fee. 2. You may modify your copy or copies of the Program or any portion of it, thus forming a work based on the Program, and copy and distribute such modifications or work under the terms of Section 1 above, provided that you also meet all of these conditions: a) You must cause the modified files to carry prominent notices stating that you changed the files and the date of any change. b) You must cause any work that you distribute or publish, that in whole or in part contains or is derived from the Program or any part thereof, to be licensed as a whole at no charge to all third parties under the terms of this License. c) If the modified program normally reads commands interactively when run, you must cause it, when started running for such interactive use in the most ordinary way, to print or display an announcement including an appropriate copyright notice and a notice that there is no warranty (or else, saying that you provide a warranty) and that users may redistribute the program under these conditions, and telling the user how to view a copy of this License. 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If the Program specifies a version number of this License which applies to it and "any later version", you have the option of following the terms and conditions either of that version or of any later version published by the Free Software Foundation. If the Program does not specify a version number of this License, you may choose any version ever published by the Free Software Foundation. 10. If you wish to incorporate parts of the Program into other free programs whose distribution conditions are different, write to the author to ask for permission. For software which is copyrighted by the Free Software Foundation, write to the Free Software Foundation; we sometimes make exceptions for this. Our decision will be guided by the two goals of preserving the free status of all derivatives of our free software and of promoting the sharing and reuse of software generally. NO WARRANTY 11. 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It is safest to attach them to the start of each source file to most effectively convey the exclusion of warranty; and each file should have at least the "copyright" line and a pointer to where the full notice is found. Copyright (C) This program is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with this program; if not, write to the Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA. Also add information on how to contact you by electronic and paper mail. If the program is interactive, make it output a short notice like this when it starts in an interactive mode: Gnomovision version 69, Copyright (C) year name of author Gnomovision comes with ABSOLUTELY NO WARRANTY; for details type `show w'. This is free software, and you are welcome to redistribute it under certain conditions; type `show c' for details. The hypothetical commands `show w' and `show c' should show the appropriate parts of the General Public License. Of course, the commands you use may be called something other than `show w' and `show c'; they could even be mouse-clicks or menu items--whatever suits your program. You should also get your employer (if you work as a programmer) or your school, if any, to sign a "copyright disclaimer" for the program, if necessary. Here is a sample; alter the names: Yoyodyne, Inc., hereby disclaims all copyright interest in the program `Gnomovision' (which makes passes at compilers) written by James Hacker. , 1 April 1989 Ty Coon, President of Vice This General Public License does not permit incorporating your program into proprietary programs. If your program is a subroutine library, you may consider it more useful to permit linking proprietary applications with the library. If this is what you want to do, use the GNU Lesser General Public License instead of this License. octave-iso2mesh-1.9.6+ds/meshfix/meshfix.files0000644001356000007640000000427113673436411020263 0ustar fangqadmingpl.txt include/detectIntersections.h include/exttrimesh.h include/holeFilling.h include/sparselsystem.h include/triangleoctree.h include/component.h src/detectIntersections.cpp src/holeFilling.cpp src/mwExtensions.cpp src/sparseLSystem.cpp src/triangleoctree.cpp src/smoothing.cpp meshfix.cpp readme.txt CMakeLists.txt contrib/jrs_predicates/jrs_predicates.h contrib/jrs_predicates/jrs_predicates.c contrib/octree/octree contrib/octree/octree_cursor.cxx contrib/octree/octree_cursor.h contrib/octree/octree.cxx contrib/octree/octree_dox.h contrib/octree/octree.h contrib/octree/octree_iterator.cxx contrib/octree/octree_iterator.h contrib/octree/octree_node.cxx contrib/octree/octree_node.h contrib/octree/octree_path.cxx contrib/octree/octree_path.h contrib/JMeshLib/include/vertex.h contrib/JMeshLib/include/triangle.h contrib/JMeshLib/include/tin.h contrib/JMeshLib/include/point.h contrib/JMeshLib/include/matrix.h contrib/JMeshLib/include/list.h contrib/JMeshLib/include/jqsort.h contrib/JMeshLib/include/j_mesh.h contrib/JMeshLib/include/jmesh.h contrib/JMeshLib/include/heap.h contrib/JMeshLib/include/graph.h contrib/JMeshLib/include/edge.h contrib/JMeshLib/include/dijkstraGraph.h contrib/JMeshLib/include/clusterGraph.h contrib/JMeshLib/include/binTree.h contrib/JMeshLib/src/JMESH/jmesh.cpp contrib/JMeshLib/src/MESH_STRUCTURE/vertex.cpp contrib/JMeshLib/src/MESH_STRUCTURE/triangle.cpp contrib/JMeshLib/src/MESH_STRUCTURE/tin.cpp contrib/JMeshLib/src/MESH_STRUCTURE/point.cpp contrib/JMeshLib/src/MESH_STRUCTURE/io.cpp contrib/JMeshLib/src/MESH_STRUCTURE/edge.cpp contrib/JMeshLib/src/MESH_STRUCTURE/checkAndRepair.cpp contrib/JMeshLib/test/test.cpp contrib/JMeshLib/src/PRIMITIVES/matrix.cpp contrib/JMeshLib/src/PRIMITIVES/list.cpp contrib/JMeshLib/src/PRIMITIVES/jqsort.cpp contrib/JMeshLib/src/PRIMITIVES/heap.cpp contrib/JMeshLib/src/PRIMITIVES/graph.cpp contrib/JMeshLib/src/PRIMITIVES/dijkstraGraph.cpp contrib/JMeshLib/src/PRIMITIVES/clusterGraph.cpp contrib/JMeshLib/src/PRIMITIVES/binTree.cpp test/sphere_join_test.sh test/close_objects_join_test.sh include/simplification.h include/epsilonSampling.h src/simplification.cpp src/uniform.cpp src/epsilonSampling.cpp src/cleaning.cpp test/sphere_decouple_test.sh octave-iso2mesh-1.9.6+ds/meshfix/CMakeLists.txt0000644001356000007640000000177313673436411020340 0ustar fangqadmincmake_minimum_required (VERSION 2.6) project (MeshFix) add_subdirectory(contrib/JMeshLib) include_directories( include /usr/include/superlu /usr/include/SuperLU contrib/JMeshLib/include contrib/OpenNL3.2.1/src contrib/jrs_predicates ) file(GLOB meshfix_h include/*.h) set(meshfix_src contrib/jrs_predicates/jrs_predicates.c src/detectIntersections.cpp src/holeFilling.cpp src/sparseLSystem.cpp src/mwExtensions.cpp src/smoothing.cpp contrib/OpenNL3.2.1/src/nl_single_file.c src/epsilonSampling.cpp src/simplification.cpp src/uniform.cpp src/cleaning.cpp ) add_custom_command( TARGET meshfix PRE_LINK COMMAND make WORKING_DIRECTORY ${CMAKE_CURRENT_SOURCE_DIR}/contrib/JMeshLib/ ) if(CMAKE_CXX_SIZEOF_DATA_PTR EQUAL 8) ADD_DEFINITIONS(-DIS64BITPLATFORM) ## needed for 64 bit endif() ADD_DEFINITIONS(-DNL_USE_SUPERLU) add_executable(meshfix ${meshfix_src} ${meshfix_h} meshfix.cpp) target_link_libraries(meshfix jmesh superlu blas) octave-iso2mesh-1.9.6+ds/lz4hcdecode.m0000644001356000007640000000267313724766530016510 0ustar fangqadminfunction varargout = lz4hcdecode(varargin) % % output = lz4hcdecode(input) % or % output = lz4hcdecode(input,info) % % Decompressing an LZ4HC-compressed byte-stream to recover the original data % This function depends on the ZMat toolbox (http://github.com/fangq/zmat) % % authors:Qianqian Fang (q.fang neu.edu) % % input: % input: a string, int8/uint8 vector or numerical array to store LZ4HC-compressed data % info (optional): a struct produced by the zmat/lz4hcencode function during % compression; if not given, the inputs/outputs will be treated as a % 1-D vector % % output: % output: the decompressed byte stream stored in a uint8 vector; if info is % given, output will restore the original data's type and dimensions % % examples: % [bytes, info]=lz4hcencode(eye(10)); % orig=lz4hcdecode(bytes,info); % % license: % BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details % % -- this function is part of JSONLab toolbox (http://iso2mesh.sf.net/cgi-bin/index.cgi?jsonlab) % if(nargin==0) error('you must provide at least 1 input'); end if(exist('zmat','file')==2 || exist('zmat','file')==3) if(nargin>1) [varargout{1:nargout}]=zmat(varargin{1},varargin{2:end}); else [varargout{1:nargout}]=zmat(varargin{1},0,'lz4hc',varargin{2:end}); end else error('you must install ZMat toolbox to use this feature: http://github.com/fangq/zmat') end octave-iso2mesh-1.9.6+ds/meshremap.m0000644001356000007640000000437113724766530016276 0ustar fangqadminfunction newval=meshremap(fromval,elemid,elembary,toelem,nodeto) % % newval=meshremap(fromval,elemid,elembary,toelem,nodeto) % % Redistribute nodal values from the source mesh to the target mesh so that % the sum of each property on each mesh is the same % % author: Qianqian Fang (q.fang at neu.edu) % % input: % fromval: values defined at the source mesh nodes, the row or column % number must be the same as the source mesh node number, which % is the same as the elemid length % elemid: the IDs of the target mesh element that encloses the nodes of % the source mesh nodes; a vector of length of src mesh node % count; elemid and elembary can be generated by calling % % [elemid,elembary]=tsearchn(node_target, elem_target, node_src); % % note that the mapping here is inverse to that in meshinterp() % % elembary: the bary-centric coordinates of each source mesh nodes % within the target mesh elements, sum of each row is 1, expect % 3 or 4 columns (or can be N-D) % toelem: the element list of the target mesh % nodeto: the total number of target mesh nodes % % % output: % newval: a 2D array with rows equal to the target mesh nodes (nodeto), % and columns equals to the value numbers defined at each source % mesh node % example: % % [n1,f1,e1]=meshabox([0 0 0],[10 20 5],1); % src mesh % [n2,f2,e2]=meshabox([0 0 0],[10 20 5],2); % target mesh % [id, ww]=tsearchn(n2,e2,n1); % project src to target mesh % value_src=n1(:,[2 3 1]); % create dummy values at src mesh % newval=meshremap(value_src,id,ww,e2,size(n2,1)); % map to target % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % if(size(fromval,1)==1) fromval=fromval(:); end if(size(fromval,2)==length(elemid)) fromval=fromval.'; end newval=zeros(nodeto,size(fromval,2)); idx=~isnan(elemid); fromval=fromval(idx,:); elembary=elembary(idx,:); idx=elemid(idx); nodeval=repmat(fromval,1,1,size(elembary,2)).*repmat(permute(elembary,[1,3,2]),1,size(fromval,2),1); for i=1:size(elembary,2) [ix,iy]=meshgrid(toelem(idx,i),1:size(fromval,2)); nval=nodeval(:,:,i).'; newval=newval + accumarray([ix(:),iy(:)],nval(:), size(newval)); endoctave-iso2mesh-1.9.6+ds/vol2restrictedtri.m0000644001356000007640000000433313724766530020005 0ustar fangqadminfunction [node,elem]=vol2restrictedtri(vol,thres,cent,brad,ang,radbound,distbound,maxnode) % % [node,elem]=vol2restrictedtri(vol,thres,cent,brad,ang,radbound,distbound,maxnode) % % surface mesh extraction using CGAL mesher % % author: Qianqian Fang, % date: 2009/01/06 % % input: % vol: a 3D volumetric image % thres: a scalar as the threshold of of the extraction % cent: a 3d position (x,y,z) which locates inside the resulting % mesh, this is automatically computed from vol2surf % brad: maximum bounding sphere squared of the resulting mesh % ang: minimum angular constrains of the resulting tranglar elements % (in degrees) % radbound: maximum triangle delaunay circle radius % distbound: maximum delaunay sphere distances % maxnode: maximum number of surface nodes (even radbound is not reached) % output: % node: the list of 3d nodes in the resulting surface (x,y,z) % elem: the element list of the resulting mesh (3 columns of integers) % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % if(radbound<1) warning(['You are meshing the surface with sub-pixel size. If this ' ... 'is not your your intent, please check if you set ' ... '"opt.radbound" correctly for the default meshing method.']); end exesuff=getexeext; exesuff=fallbackexeext(exesuff,'cgalsurf'); saveinr(vol,mwpath('pre_extract.inr')); deletemeshfile(mwpath('post_extract.off')); randseed=hex2dec('623F9A9E'); % "U+623F U+9A9E" if(~isempty(getvarfrom({'caller','base'},'ISO2MESH_RANDSEED'))) randseed=getvarfrom({'caller','base'},'ISO2MESH_RANDSEED'); end initnum=50; if(~isempty(getvarfrom({'caller','base'},'ISO2MESH_INITSIZE'))) initnum=getvarfrom({'caller','base'},'ISO2MESH_INITSIZE'); end system([' "' mcpath('cgalsurf') exesuff '" "' mwpath('pre_extract.inr') ... '" ' sprintf('%.16f %.16f %.16f %.16f %.16f %.16f %.16f %.16f %d ',thres,cent,brad,ang,radbound,distbound,maxnode) ... ' "' mwpath('post_extract.off') '" ' sprintf('%.0f %d',randseed,initnum)]); [node,elem]=readoff(mwpath('post_extract.off')); % assuming the origin [0 0 0] is located at the lower-bottom corner of the image node=node+0.5; octave-iso2mesh-1.9.6+ds/delendelem.m0000644001356000007640000000074313724766530016412 0ustar fangqadminfunction elem=delendelem(elem,mask) % % elem=delendelem(elem,mask) % % delete elements whose nodes are all edge nodes % % author: Qianqian Fang, % date: 2007/11/24 % % input/output: % elem: input/output, surface/volumetric element list % mask: of length of node number, =0 for internal nodes, =1 for edge nodes % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % badidx=sum(mask(elem)'); elem(find(badidx==size(elem,2)),:)=[]; octave-iso2mesh-1.9.6+ds/README.md0000644001356000007640000003232613724766530015417 0ustar fangqadmin# Iso2Mesh: An Image-based 3D Surface and Volumetric Mesh Generator | | | |----------------|------------------------- | | **Author** | Qianqian Fang | | **E-mail** | | | **Department** | Bioengineering | | **Institute** | Northeastern University | | **Address** | 360 Huntington Ave, Boston, MA 02115 | | **Version** | 1.9.6 (Lion's Head) | | **License** | GPL v2 or later (see COPYING) (this license does not cover the binaries under the bin/ directory, see Section III for more details) | | **URL** | http://iso2mesh.sf.net | ## Table of Contents - [Introduction](#introduction) - [Iso2Mesh Suite](#iso2mesh-suite) - [Overview of functions](#overview-of-functions) - [Compiling Iso2mesh](#compiling-iso2mesh) - [Acknowledgement](#acknowledgement) #### Introduction "Iso2Mesh" is a MATLAB/Octave-based mesh generation toolbox, designed for easy creation of high quality surface and tetrahedral meshes from 3D volumetric images. It contains over 200 mesh processing scripts/programs, working either independently or interacting with external free meshing utilities. Iso2Mesh toolbox can directly convert a 3D image stack, including binary, segmented or gray-scale images such as MRI or CT scans, into quality volumetric meshes. This makes it particularly suitable for multi-modality medical imaging data analysis and multi-physics modeling. Above all, iso2mesh is open-source. You can download it for free. You are also allowed to extend the toolbox for your own research and share with other users. Iso2Mesh is cross-platform and is compatible with both MATLAB and GNU Octave (a free MATLAB clone). The details of this toolbox can be found in the following papers (citing the first paper is highly encouraged): - Anh Phong Tran, Shijie Yan and Qianqian Fang*, (2020) "Improving model-based fNIRS analysis using mesh-based anatomical and light-transport models," Neurophotonics, 7(1), 015008 - Qianqian Fang and David Boas, "Tetrahedral mesh generation from volumetric binary and gray-scale images," Proceedings of IEEE International Symposium on Biomedical Imaging (ISBI 2009), pp. 1142-1145, 2009 The first paper published recently describes a fully automated high-quality [brain mesh generation pipeline](http://mcx.space/brain2mesh) built upon Iso2Mesh, providing a showcase for nearly all core functionalities provided in this toolbox. #### Iso2Mesh Suite In addition to convenient 3D mesh generation functionalities, the development of Iso2Mesh has also resulted in a number of submodules that have also received wide adoption - some are even more popular than Iso2Mesh itself. For example: - JSONLab (http://openjdata.org/jsonlab): a JSON/UBJSON/MassagePack encoder and decoder [(Editor Pick-of-the-week, Popular File 2018)](https://www.mathworks.com/matlabcentral/fileexchange/33381-jsonlab-a-toolbox-to-encode-decode-json-files) - Brain2Mesh (http://mcx.space/brain2mesh): a fully automated high-quality brain mesh generation toolbox built on Iso2Mesh - JNIfTI (http://github.com/fangq/jnifti): a fast and portable NIfTI-1/2 reader/writer and next-gen NIfTI file format - Metch (http://iso2mesh.sf.net/metch): a 3D mesh registration toolbox - JData specification (http://openjdata.org): a highly portable easy-to-use scientific data annotation method and specification - ZMat (http://github.com/fangq/zmat): a data compression library and MATLAB/Octave toolbox Currently, Iso2Mesh and its submodules are broadly distributed among popular open-source MATLAB toolboxes, especially among major neuroimaging tools, including - Fieldtrip (http://www.fieldtriptoolbox.org) [[iso2mesh/jsonlab](https://github.com/fieldtrip/fieldtrip/tree/master/external/iso2mesh)] - BrainStorm (https://neuroimage.usc.edu/brainstorm) [[iso2mesh/brain2mesh/easyh5](https://neuroimage.usc.edu/brainstorm/Tutorials/FemMesh#Mesh_tools)] - Lead-DBS (http://www.lead-dbs.org) [[iso2mesh](https://github.com/netstim/leaddbs/tree/master/ext_libs/iso2mesh)] - ROAST (https://www.parralab.org/roast) [[iso2mesh](https://github.com/andypotatohy/roast/tree/master/lib/iso2mesh)] - HOMER2 (https://github.com/BUNPC/AtlasViewer) [[iso2mesh/metch](https://github.com/BUNPC/AtlasViewer/tree/master/iso2mesh)] - REST (https://github.com/goodshawn12/REST) [[iso2mesh](https://github.com/goodshawn12/REST/tree/master/dependencies/iso2mesh)] #### Overview of functions Creation of high-quality surface and tetrahedral meshes from volumetric images has been a challenging task. There are very limited software and resources available for this purpose. Commercial tools, such as Mimics and Simpleware, are both expensive and limited in flexibility. Iso2Mesh was developed as a free alternative to these expensive commercial tools and provides researchers a highly flexible, modular and streamlined image-based mesh generation pipeline. Intuitive interfaces and rich functionalities allow one to enjoy a wide range of mesh-based analyses, ranging from 3D volumetric image pre-processing (hole-filling, thinning and thickening), surface mesh modeling (extraction, remeshing, repairing, and smoothing) to volumetric mesh creation. Converting 3D image stacks into quality surface and tetrahedral meshes is one of the core features of iso2mesh. We provide serveral automated functions to perform the image->mesh and mesh->image conversion, including - `vol2mesh` (`v2m`): convert a 3D volumetric image into a tetrahedral mesh - `vol2surf` (`v2s`): extract triangular surfaces from a 3D image volume - `surf2mesh` (`s2m`): create a tetrahedral mesh from a triangular surface mesh - `surf2vol` (`s2v`): rasterize a close-surface to a volumetric image - `mesh2vol` (`m2v`): rasterize a tetrahedral mesh to a volumetric image Most of these function are associated with several meshing options and parameters to give users full control to mesh density, adaptivity, region labeling and mesh quality. The output data for some of these functions can be used as the input for the others, giving endless combinations to analyze your data. In addition to image-based mesh generation, iso2mesh can also mesh geometry primitives such as spheres, cubes and cylinders. This makes iso2mesh a CAD-capable software, fully integrated in the MATLAB/Octave environments. Another core feature of iso2mesh is surface mesh processing. A surface mesh is the bridge between a voxelated image and a tetrahedral mesh, and is the foundation for successful 3D mesh generation. In iso2mesh, we provide the following key functions for surface mesh processing: - `smoothsurf` (`sms`): smoothing a surface mesh - `surfboolean`: boolean operations (join, intersect, diff) of two surfaces - `meshresample`: downsample a surface mesh to a coarse surface - `meshrefine`: refine a surface mesh - `remeshsurf`: remesh a surface mesh, including up-sampling and down-sampling - `meshcheckrepair`: test a surface mesh and remove defects and self-intersecting elements A third area iso2mesh excels is the rich set of mesh analysis and inquiry functions. For both surface and tetrahedral meshes, iso2mesh can report the element volume (or area), mesh quality metrics, node connectivity and neighbors, interior edges and boundaries, surface norms, element centroids, etc. Last, but not the least, iso2mesh can import and export mesh data from/to a dozen of file formats, including those used by the popular FEA software like COMSOL and ABAQUS. The STL format can export an iso2mesh-generated mesh for 3D printing. Users can not only export the data to a file, but also make 3D plots in MATLAB/Octave using the powerful "plotmesh" function. These examples are only a small fraction in the over 200 optimized functions provided by iso2mesh. The modular design of iso2mesh makes the code easy to understand and easy to be intergrated in your data analysis workflow. Please check out the full iso2mesh function list and detailed help information in the following URL: http://iso2mesh.sf.net/cgi-bin/index.cgi?Doc/FunctionList #### Compiling Iso2Mesh The default release of Iso2Mesh packages already contains pre-compiled binaries for a wide range of platforms (32/64bit Windows, 32/64bit Linux and Mac with 64bit Intel and 32 bit PowerPC CPUs). So, without needing to recompile, Iso2Mesh can be executed out-of-box on MATLAB or GNU Octave. However, in the event that your operating system is not supported, or due to license restrictions, such as creating a release for various Linux distributions, you can recreate the mesh utility binaries under `iso2mesh/bin` folder using the source codes provided under `iso2mesh/tools` by following the below commands: ``` git clone --recurse-submodules https://github.com/fangq/iso2mesh.git cd iso2mesh rm -rf bin/*.mex* bin/*.exe cd tools make clean make ``` This will download and recompile the below binaries in the bin folder: - cgalmesh - cgalsurf - cgalsimp2 - jmeshlib - meshfix - tetgen1.5 - cork Once these binary files are recreated, you can run all the major functionalities of Iso2Mesh. The gtrefine utility is depreciated and replaced by cork and tetgen. To compile the above external tools, the below tools must be pre-installed (tested on Ubuntu 14.04 LTS, if you use another Linux distribution, the package names might be different) - gcc - cmake - libcgal-dev - libsuitesparse-dev - zlib1g-dev you can install these on Ubuntu by running: ``` sudo apt-get install gcc cmake libcgal-dev libsuitesparse-dev zlib1g-dev ``` on Ubuntu or Debian. If you use Fedora, you need to install the below packages ``` sudo dnf install cmake CGAL-devel SuperLU-devel blas-static gcc-c++ zlib-devel octave-devel ``` #### Acknowledgement This toolbox interacts with a number external meshing tools to perform the essential functionalities. These tools are listed below: > bin/tetgen and bin/tetgen1.5: - Summary: tetgen is a compact and fast 3D mesh generator - License: GNU Affero General Public License version 3 - URL: http://tetgen.org/ - Author: Hang Si - Research Group: Numerical Mathematics and Scientific Computing ::Weierstrass Institute for Applied Analysis and Stochastics ::Mohrenstr. 39, 10117 Berlin, Germany > bin/cgalsurf: - Summary: cgalsurf is a utility to extract a surface mesh from a gray-scale or a binary 3D image - Source: it is a slightly modified version from Surface_mesher example from CGAL 3.4 - License: CGAL v3 core library is licensed under QPL (Q Public License) other modules are under the Lesser General Public License (LGPL) - URL: http://www.cgal.org/Manual/3.3/doc_html/cgal_manual/Surface_mesher/Chapter_main.html > bin/cgalmesh and bin/cgalpoly: - Summary: cgalmesh and cgalpoly are utilities to produce surface and volumetric meshes from a multi-valued volumetric image - Source: it is a slightly modified version from Mesh_3 example from CGAL 3.5 - License: CGAL v3 core library is licensed under QPL (Q Public License) other modules are under the Lesser General Public License (LGPL) - URL: http://www.cgal.org/Manual/3.5/doc_html/cgal_manual/Mesh_3/Chapter_main.html > bin/cgalsimp2: - Summary: cgalsimp2 performs surface mesh simplification in iso2mesh. - Source: it is adapted from Surface_mesh_simplification example of CGAL library - License: CGAL v3 core library is licensed under QPL (Q Public License) other modules are under the Lesser General Public License (LGPL) - URL: http://www.cgal.org/Manual/3.4/doc_html/cgal_manual/Surface_mesh_simplification/Chapter_main.html > bin/jmeshlib: - Summary: meshfix is adapted from the sample code of JMeshLib - License: GPL (GNU General Public License) v2 or later - URL:http://jmeshlib.sourceforge.net/ - Author:Marco Attene ::Istituto di Matematica Applicata e Tecnologie Informatiche ::Consiglio Nazionale delle Ricerche ::Via De Marini, 6 (Torre di Francia) ::16149 Genoa - ITALY > bin/meshfix: - Summary: meshfix is a mesh-repairing utility - License: GPL (GNU General Public License) v2 or later - URL:http://code.google.com/p/meshfix/ - Author: Marco Attene, Mirko Windhoff and Axel Thielscher. ::Istituto di Matematica Applicata e Tecnologie Informatiche ::Consiglio Nazionale delle Ricerche ::Via De Marini, 6 (Torre di Francia) ::16149 Genoa - ITALY > bin/cork: - Summary: A robust surface mesh Boolean operation algorithm - License: LGPL (GNU Lesser General Public License) - URL:https://github.com/gilbo/cork - Author: Gilbert Bernstein > bin/gtsrefine: - Summary: GTS is the GNU Triangulated Surface Library - License: LGPL (GNU Lesser General Public License) - URL:http://gts.sourceforge.net/ - Author: GTS developers **Note:** Iso2Mesh and the above meshing utilities are considered as an "aggregate" rather than "derived work", based on the definitions in GPL FAQ (http://www.gnu.org/licenses/gpl-faq.html#MereAggregation) Therefore, the license of Iso2Mesh and these utilities are independent. The Iso2Mesh license only applies to the scripts and documentation/data in this package and exclude those programs stored in the bin/ directory. The source codes of the modified meshing utilities are available separately at Iso2Mesh's website and retain their upstream licenses. Your acknowledgement of Iso2Mesh in your publications or presentations would be greatly appreciated by the author of this toolbox. The citation information can be found in the Introduction section. octave-iso2mesh-1.9.6+ds/mesh2vol.m0000644001356000007640000000654613724766530016062 0ustar fangqadminfunction [mask weight]=mesh2vol(node,elem,xi,yi,zi) % % [mask weight]=mesh2vol(node,face,Nxyz) % [mask weight]=mesh2vol(node,face,[Nx,Ny,Nz]) % [mask weight]=mesh2vol(node,face,xi,yi,zi,hf) % or % newval=mesh2vol(node_val,face,...) % % fast rasterization of a 3D mesh to a volume with tetrahedron index labels % % author: Qianqian Fang % date for initial version: Feb 10,2014 % % input: % node: node coordinates, dimension N by 2 or N by 3 array % nodeval: a 4-column array, the first 3 columns are the node coordinates, % the last column denotes the values associated with each node % face: a triangle surface, N by 3 or N by 4 array % Nx,Ny,Nxy: output image in x/y dimensions, or both % xi,yi: linear vectors for the output pixel center positions in x/y % hf: the handle of a pre-created figure window for faster rendering % % output: % mask: a 3D image, the value of each pixel is the index of the % enclosing triangle, if the pixel is outside of the mesh, NaN % weight: (optional) a 3 by Nx by Ny array, where Nx/Ny are the dimensions % for the mask % newval: when the node has 4 columns, the last column represents the % values (color) at each node, the output newval is the rasterized % mesh value map over the specified grid. % % note: This function only works for matlab % % example: % % [no,el]=meshgrid6(0:5,0:5,0:3); % mask=mesh2vol(no,el(:,1:4),0:0.1:5,0:0.1:5,0:0.1:4); % imagesc(mask(:,:,3)) % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % nodeval=[]; if(size(node,2)==4) nodeval=node(:,4); node(:,4)=[]; end if(nargin==3 && length(xi)==1 && xi>0) mn=min(node); mx=max(node); df=(mx(1:min(3,size(node,2)))-mn(1:min(3,size(node,2))))/xi; elseif(nargin==3 && length(xi)==3 && all(xi>0)) mn=min(node); mx=max(node); df=(mx(1:min(3,size(node,2)))-mn(1:min(3,size(node,2))))./(xi(:)'); elseif(nargin==5) mx=[max(xi) max(yi) max(zi)]; mn=[min(xi) min(yi) min(zi)]; df=[min(diff(xi(:))) min(diff(yi(:))) min(diff(zi(:)))]; else error('you must give at least xi input'); end xi=mn(1):df(1):mx(1); yi=mn(2):df(2):mx(2); zi=mn(3):df(3):mx(3); if(size(node,2)~=3 || size(elem,2)<=3) error('node must have 3 columns; face can not have less than 3 columns'); end nz=length(zi); mask=zeros(length(xi)-1,length(yi)-1,length(zi)-1); if(nargout>1 || ~isempty(nodeval)) weight=zeros(4,length(xi)-1,length(yi)-1,length(zi)-1); end hf=figure('visible','on'); for i=1:nz if(~isempty(nodeval)) [cutpos,cutvalue,facedata,elemid]=qmeshcut(elem,node,nodeval,['z=' num2str(zi(i))]); else [cutpos,cutvalue,facedata,elemid]=qmeshcut(elem,node,node(:,1),['z=' num2str(zi(i))]); end if(isempty(cutpos)) continue; end if(nargout>1 || ~isempty(nodeval)) [maskz, weightz]=mesh2mask(cutpos,facedata,xi,yi,hf); weight(:,:,:,i)=weightz; else maskz=mesh2mask(cutpos,facedata,xi,yi,hf); end idx=find(~isnan(maskz)); if(~isempty(nodeval)) eid=facedata(maskz(idx),:); maskz(idx)=cutvalue(eid(:,1)).*weightz(1,idx)'+cutvalue(eid(:,2)).*weightz(2,idx)'+... cutvalue(eid(:,3)).*weightz(3,idx)'+cutvalue(eid(:,4)).*weightz(4,idx)'; else maskz(idx)=elemid(maskz(idx)); end mask(:,:,i)=maskz; end close(hf); octave-iso2mesh-1.9.6+ds/sample/0000755001356000007640000000000013724766530015413 5ustar fangqadminoctave-iso2mesh-1.9.6+ds/sample/demo_registration_ex1.m0000644001356000007640000000605213724766530022067 0ustar fangqadmin%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Sample Data and Metch Registration Sessions % % % % by Qianqian Fang % % % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % first of all, make sure you've already add the metch root % folder to your matlab/octave search path list % load the sample data, where % no: the node coordinates of a surface mesh % el: the surface triangles % pt: the point cloud to be registered disp('(*)First load the mesh and point cloud. Hit Enter to continue...'); pause; load sampledata if(exist('OCTAVE_VERSION')~=0) trimesh(el,no(:,1),no(:,2),no(:,3)); else cla; trisurf(el,no(:,1),no(:,2),no(:,3)); end title('Metch toolbox demonstration'); axis equal; hold on; % use metch functions to perform the registration pnum=size(pt,1); % define a number of point pairs to initialize the registration disp('(*)Create 4 mapping pairs to initialize the mapping. Hit Enter to continue...'); pause; % select 4 land-marks on the point cloud (specified by their indicies) ptidx=[4 107 1 190]; ptselected=pt(ptidx,:); % find the corresponding land-marks on the mesh meshidx=[3173 1715 156 1740]; meshselected=no(meshidx,:); % calculate the affine mapping using these point pairs [A0,b0]=affinemap(ptselected,meshselected) disp('(*)Display the updated points. Hit Enter to continue...'); pause; % a rough registration from the selected point pairs points_after_initmap=(A0*pt'+repmat(b0(:),1,pnum))'; plot3(points_after_initmap(:,1),points_after_initmap(:,2),points_after_initmap(:,3),'r.'); disp('(*)Optimize the mapping matrix to fit the surface. Hit Enter to continue...'); pause; % set pmask: if pmask(i) is -1, it is a free nodes to be optimized % if pmask(i) is 0, it is fixed % if pmask(i) is a positive number, it is the index of % the mesh node to map to pmask=-1*ones(pnum,1); pmask(ptidx)=meshidx; % perform mesh registration with Gauss-Newton method using A0/b0 % as initial guess [A,b,newpos]=regpt2surf(no,el,pt,pmask,A0,b0,ones(12,1),10); A b disp('(*)Display the optimized point cloud. Hit Enter to continue...'); pause; % update point cloud with the optimized mapping points_after_optimize=(A*pt'+repmat(b(:),1,pnum))'; plot3(points_after_optimize(:,1),points_after_optimize(:,2),points_after_optimize(:,3),'g+'); disp('(*)Project the point cloud on the surface. Hit Enter to continue...'); pause; % project the optimized point cloud onto the surface, and make % sure the comformity nv=nodesurfnorm(no,el); [d2surf,cn]=dist2surf(no,nv,points_after_optimize); [points_after_proj eid weights]=proj2mesh(no,el,points_after_optimize,nv,cn); disp('(*)Display the final results. Hit Enter to continue...'); pause; plot3(points_after_proj(:,1),points_after_proj(:,2),points_after_proj(:,3),'c*'); legend('surface mesh','points after initial map','points after optimized map',... 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" " # # $ $ % HHoctave-iso2mesh-1.9.6+ds/sample/demo_remesh_surface.m0000644001356000007640000000152713724766530021575 0ustar fangqadmin%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % demo script for surface repairing using surf2vol and remeshsurf %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% preparation % user must add the path of iso2mesh to matlab path list % addpath('../'); % user need to add the full path to .../iso2mesh/bin directory % to windows/Linux/Unix PATH environment variable %% load the sample data load rat_head.mat % volimage is a volumetric image such as an X-ray or MRI image % A,b are registration matrix and vector, respectively %% perform mesh generation [node,face]=v2s(volimage,0.5,2,'cgalmesh'); node=node(:,1:3); face=face(:,1:3); plotmesh(node,face); axis equal [newno,newfc]=remeshsurf(node,face,1); newno=sms(newno,newfc(:,1:3),3,0.5); figure; plotmesh(newno,newfc(:,1:3)); axis equal octave-iso2mesh-1.9.6+ds/sample/demo_mesh_smoothing.m0000644001356000007640000000544713724766530021632 0ustar fangqadmin%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % demo script for surface smoothing %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% preparation % user must add the path of iso2mesh to matlab path list % addpath('../'); % user need to add the full path to .../iso2mesh/bin directory % to windows/Linux/Unix PATH environment variable %% load the sample data load rat_head.mat % volimage is a volumetric image such as an X-ray or MRI image % A,b are registration matrix and vector, respectively %% perform mesh generation [node,face]=v2s(volimage,0.5,2,'cgalmesh'); face=face(:,1:3); p0=min(node); p1=max(node); rownum=3; colnum=4; figure; subplot(rownum,colnum,1); plotmesh(node,face(:,1:3)); if(~isoctavemesh) title({'Laplacian+HC Smoothing Test','no smoothing'}); else title('Laplacian+HC - no smoothing'); end axis equal; set(gca,'xlim',[p0(1),p1(1)],'ylim',[p0(2),p1(2)],'zlim',[p0(3),p1(3)]) %========================================================= % apply Laplacian+HC smoothing %========================================================= n1=node; for i=1:rownum*colnum-1 n1=sms(n1,face(:,1:3),1,0.5); % apply Laplacian+HC mesh smoothing subplot(rownum,colnum,i+1); plotmesh(n1,face(:,1:3)); title(['iter=' num2str(i)]); axis equal; set(gca,'xlim',[p0(1),p1(1)],'ylim',[p0(2),p1(2)],'zlim',[p0(3),p1(3)]) end %========================================================= % apply Laplacian smoothing %========================================================= figure; subplot(rownum,colnum,1); plotmesh(node,face(:,1:3)); if(~isoctavemesh) title({'Laplacian Smoothing Test','no smoothing'}); else title('Laplacian - no smoothing'); end axis equal; set(gca,'xlim',[p0(1),p1(1)],'ylim',[p0(2),p1(2)],'zlim',[p0(3),p1(3)]) conn=meshconn(face(:,1:3),size(node,1)); n1=node; for i=1:rownum*colnum-1 n1=smoothsurf(n1,[],conn,1,0.5,'laplacian'); subplot(rownum,colnum,i+1); plotmesh(n1,face(:,1:3)); title(['iter=' num2str(i)]); axis equal; set(gca,'xlim',[p0(1),p1(1)],'ylim',[p0(2),p1(2)],'zlim',[p0(3),p1(3)]) end %========================================================= % apply Low-pass smoothing %========================================================= figure; subplot(rownum,colnum,1); plotmesh(node,face(:,1:3)); if(~isoctavemesh) title({'Low-pass Smoothing Test','no smoothing'}); else title('Low-pass - no smoothing'); end axis equal; set(gca,'xlim',[p0(1),p1(1)],'ylim',[p0(2),p1(2)],'zlim',[p0(3),p1(3)]) conn=meshconn(face(:,1:3),size(node,1)); n1=node; for i=1:rownum*colnum-1 n1=smoothsurf(n1,[],conn,1,0.5,'lowpass'); subplot(rownum,colnum,i+1); plotmesh(n1,face(:,1:3)); title(['iter=' num2str(i)]); axis equal; set(gca,'xlim',[p0(1),p1(1)],'ylim',[p0(2),p1(2)],'zlim',[p0(3),p1(3)]) end octave-iso2mesh-1.9.6+ds/sample/demo_directplc_ex1.m0000644001356000007640000000312713724766530021326 0ustar fangqadmin%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% angular resolution dt=pi/40; t=0:dt:2*pi-dt; %% parameters of a side-cut fiber h=100; r1=20; r2=25; a=-1; b=0; c=1; d=-h; %% key nodes of a side-cut fiber n1=[r1*sin(t(:)) r1*cos(t(:)) zeros(size(t(:)))]; n2=[r2*sin(t(:)) r2*cos(t(:)) zeros(size(t(:)))]; n3=[r1*sin(t(:)) r1*cos(t(:)) -d-(a*r1*sin(t(:))+b*r1*cos(t(:)))/c]; n4=[r2*sin(t(:)) r2*cos(t(:)) -d-(a*r2*sin(t(:))+b*r2*cos(t(:)))/c]; no=[n1;n2;n3;n4]; %% PLCs of the side-cut fiber clear fc; count=1; for i=1:length(t)-1 % the last number in each cell is the fc id fc{count}={[i+length(t) i+3*length(t) i+3*length(t)+1 i+length(t)+1],1}; count=count+1; fc{count}={[i i+2*length(t) i+2*length(t)+1 i+1],2}; count=count+1; end i=length(t); fc{count}={[i+length(t) i+3*length(t) 1+3*length(t) 1+length(t)],1}; count=count+1; fc{count}={[i i+2*length(t) 1+2*length(t) 1],2}; count=count+1; fc{count}={1:1+length(t)-1,3};count=count+1; % bottom inner circle fc{count}={[1+length(t):1+length(t)*2-1 nan fliplr(1:1+length(t)-1)],4};count=count+1; % button outter circle fc{count}={1+length(t)*2:1+length(t)*3-1,5};count=count+1; % top inner circle fc{count}={[1+length(t)*3:1+length(t)*4-1 nan fliplr(1+length(t)*2:1+length(t)*3-1)],6}; % top outter circle %% mesh generation of the cladding for the side-cut fiber %[node,elem,face]=s2m(no,face,1,50); [node,elem,face]=surf2mesh(no,fc,min(no),max(no),1,50,[0 0 1],[],0); plotmesh(no,fc,'y>-0.1'); figure plotmesh(node,elem,'x>0 | y>0'); octave-iso2mesh-1.9.6+ds/sample/demo_surf2mesh_ex1.m0000644001356000007640000000126213724766530021271 0ustar fangqadmin%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % demo script for mesh generation from surface patches and bounding box %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% preparation % user must add the path of iso2mesh to matlab path list % addpath('../'); % user need to add the full path to .../iso2mesh/bin directory % to windows/Linux/Unix PATH environment variable %% load the sample data load tube_surface.mat % f and v stores the surface patch faces and nodes %% perform mesh generation [node,elem,face]=surf2mesh(v,f,[1 1 1],[100 100 100],0.1,25); %% visualize the resulting mesh plotmesh(node,face(:,1:3)); axis equal; octave-iso2mesh-1.9.6+ds/sample/demo_label_sizing.m0000644001356000007640000000253513724766530021244 0ustar fangqadmin%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % specify maximum cell sizes for different labels % (this is only valid when using 'cgalmesh' with v2m or vol2mesh) %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % create a dummy image rad = 10:10:50; maxRad = max(rad); box = zeros(maxRad+1,maxRad+1,maxRad+1); image = box; box(1,1,1) = 1; %DT = bwdist(box,'euclidean'); [ix,iy,iz]=meshgrid(1:maxRad+1,1:maxRad+1,1:maxRad+1); DT = sqrt((ix - 1).*(ix -1) + (iy - 1).*(iy -1) + (iz - 1).*(iz -1)); for i = 1:size(rad,2) ball = DT<=rad(i); image(ball~=0) = image(ball~=0) + ball(ball~=0); end image = uint8(image); % mesh the domain with different sizing options figure; maxvol='1'; [no,el]=v2m(image,[],5,maxvol,'cgalmesh'); subplot(221); plotmesh(no(:,1:3),el,'x-y<0'); title('a single scalar sets cell size for all labels'); maxvol='1=2:2=1:3=2:4=1'; [no,el]=v2m(image,[],5,maxvol,'cgalmesh'); subplot(222); plotmesh(no(:,1:3),el,'x-y<0'); title(sprintf('maxvol is "%s"',maxvol)); maxvol='2:1:2:1'; [no,el]=v2m(image,[],5,maxvol,'cgalmesh'); subplot(224); plotmesh(no(:,1:3),el,'x-y<0'); title(sprintf('maxvol is "%s", same as above',maxvol)); maxvol='3=2:1:0.5'; [no,el]=v2m(image,[],5,maxvol,'cgalmesh'); subplot(223); plotmesh(no(:,1:3),el,'x-y<0'); title(sprintf('maxvol is "%s", same to 3=2:4=1:5=0.5',maxvol)); octave-iso2mesh-1.9.6+ds/sample/demo_registration_ex2.m0000644001356000007640000000336413724766530022073 0ustar fangqadmin%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Sample Data and Metch Registration Sessions % % % % by Qianqian Fang % % % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % first of all, make sure you've already add the metch root % folder to your matlab/octave search path list % load the sample data, where % no: the node coordinates of a surface mesh % el: the surface triangles % pt: the point cloud to be registered load sampledata % start the metch-gui to perform the registration %== Description of the workflow == % % 1. when the GUI pops up, it will display the mesh and the points, % you can rotate both plots so that you can identify the matching % features % 2. switch on "Select" mode, then, click on a land-mark point on the point % plot, when a data-tip shows up, click "Add Selected" button % 3. click on the corresponding position on the mesh, and click % "Add Selected" % 4. repeat the above for at least 4 point pairs (you can select more); % if you want to change views, switch off "Select" box and rotate; % after rotation, switch on "Select" box again % 5. click "Initialize": this will create the initial mapping using the % selected point pairs % 6. click "Optimize": this will fit the surface with the whole point cloud % 7. click "Proj2Mesh": this will project the fitted point clouds onto the % mesh % 8. you can quit the GUI by hit "Close", your results will be saved to reg % 9. close the window if(exist('OCTAVE_VERSION')~=0) reg=metchgui_one(no,el,pt); else reg=metchgui(no,el,pt); end octave-iso2mesh-1.9.6+ds/sample/head.tif0000644001356000007640000065045213724766530017034 0ustar fangqadminII*& & & & & & & & . 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CV4!}Hf4 M@& Ñ 7H\]I{3 G_C[{ X;5?& & & 4O TOtO|O(,PMMMMNXNgNvN':HH& & & &O <.ZD>h &×?Pw}@C[|@& & & P PQ"Q(OOOOOO PP -HHoctave-iso2mesh-1.9.6+ds/sample/rat_head.mat0000644001356000007640000000633213724766530017671 0ustar fangqadminMATLAB 5.0 MAT-file, Platform: GLNX86, Created on: Thu Oct 2 13:38:17 2008 IMR xA @ B<+wѼAJ?iI6VU_,cmbcb=x>-g(((J l mNLH"= &{)L4 @/4p8̷UN?C8g@C6$1zD?EQ>ѥy<tCˌyhmvͲ(Y:o##q$ a/e i/x0TQ& 聿n[_0 a`ǚ' 5V#|V-13:I$M쀬);.vy>J@U -xsYY.fxVj<ޗ9f䳲Dڼ)MTAc{n҉cP.+ҽRG?YY w^"^K0 fAK!Ty A\F)j[B !`,,!aN^F @h 4L NrY0p= %<0?+l$;᜜m?J%Fm,w&; / ?)|6@#c"yY.XeLAk l;APm^LhK Yz;\@>o9 .m}+D@bf?FD"p5Q#esVcWJY> @ A̤֬6 yC?>d"E>FA@`' H࿬ϤS,~A K1VAg'1s=%NEQ 5NkW>;%kfYhl(xcOEO,D^@s^Y˧}B +e\Aj@^s`ffI h^ͲI45˧ 5J ,o`\RQ~SbSr|#r#0h 0CS5%l'eX2`2IPAd`OUy _z(\^}A(f&09#rĄ0Ĉď&_WsX1A"d=77vQi/%^,fslKZi3f|euV <Os[p,jr5'rw@`(]JO 1d+DYFѝG#_z2^lË%)YV*/ .TT4ȞN aa.:ʫ-jˑKAyO4j® fqȋ@ރ}O9EkBE s{aX+qCB~0 vR.K-TY‹aB@R $xY e;*]ӆk@XT+#L#l0 ɹ6 !zXsBu'!p"0^Y&J}wdy@k'aOhw YKq@ gDiGӶbLO+LX#C#<[lZ_,`EfWd9)mgG݋ s?Ps{PN̸%n/r KW-,`D!ܽ `>Y (\^HO" B/vȫ[2Q(z1>=_Id9CrCO297&%XDMx+Yd> `e?exر0DA? s$ d\pbi994r`+nr+'R۸m Y@Nf ,fui$4K A @?i3s v ˷hC/ȏu 2ϓeS}.Y\Hg'O@ա0 zJCό$K+X~.c`Q0 Fwpoctave-iso2mesh-1.9.6+ds/sample/demo_vol2mesh_ex1b.m0000644001356000007640000000203513724766530021253 0ustar fangqadmin%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % demo script for mesh generation from binarized volumetric image %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% preparation % user must add the path of iso2mesh to matlab path list % addpath('../'); % user need to add the full path to .../iso2mesh/bin directory % to windows/Linux/Unix PATH environment variable %% load the sample data load rat_head.mat % volimage is a volumetric image such as an X-ray or MRI image % A,b are registration matrix and vector, respectively %% perform mesh generation %% use the alternative 'simplify' method: first create voxel-based % surface mesh, and then resample it to desired density. % this method does not guarantee to be free of self-intersecting % element, as 'cgalsurf' promises. [node,elem,face]=vol2mesh(volimage>0.05,1:size(volimage,1),1:size(volimage,2),... 1:size(volimage,3),0.1,2,1,'simplify'); %% visualize the resulting mesh plotmesh(node,face); axis equal; octave-iso2mesh-1.9.6+ds/sample/sampledata.mat0000644001356000007640000022623713724766530020245 0ustar fangqadminMATLAB 5.0 MAT-file, Platform: GLNX86, Created on: Sat Dec 13 23:17:32 2008 IMxYwPT_Ɩh"XX5}=g- `0ī^0"M]-1vc^ cQP?z}ߧs6:;^f[/埦X_kyfZ 5'K]xZ쓜>%vA52+?e2`}HZz;$H^"I_7͌+/W#)iS6ERK#W´sԬnI"oyw`G?G-̣%ԳvE gl =)yyC?S1K^k >A_ཙc"4(x^y0@~O]2rEC?|Mt=#==m\D`5U ;XKJ/"4"|. ޹Q!Wk_N.K~z8_N*iH}@t0H߫[gu`}z Tb 8j}:ހ<hO ܷ\4o:@{װk~·}U ;eлh52P_Fj!hr@>0p d~-϶FŃi]G4R xedFbqK6"~#{u}H)Yf]~X3rfBon^xEF;aT %sHrFϿ_ wH꠯KZ#_15wgo΄96є/\Dug'Z_d>Ov|53=1q ?{ 3b9A_~㞄YX/2qӱ`g#^f߫A.`^;0 ?@~E^nؿkaS N9_3翳Af:Vke./ 2zA]3c>2fڹ<~-fR63c͜f;q;S͔=fgi?݃} r+Zf͜ufo< f )r.3I|9l{'-c5bsz-Wk z#Zj[(sFtW yz݀,'B?v=y 0 ! p^jGMna8 ?O&a?~퀼Yxfl-~nd%k+o#Ȳ}qf@?zI> ,WXn~:l;VQ{>-A~X`}sB*u aunke +O[VV_ZdEݬt|?QVlp@nC? h(~@v;/$+IHҊʚꑟZis{ȍ YVzmwdY yVz+P6ĻߊypQ`wR{Vq+|~ |O#VV:S+?wu6@M>6̧y4q|-lC;P7!6@lOfb<i|τ\e>/{yq٨ #"tOxqcuɄmnG<ɻ`6ʚW'PYO_cCԁ|ӈ𧓘Gr]$09Ry^6WH4| wNzuH/ rr!QD>bcJ4[PM={ɮXxNv )i ?Ռr QVo6(ORּO*WKcRKWD럯'̶( raG-輾1H'vcu^Gkk6þEim?K"/DvBqYmDM;oЛ*яS\g&fH^Kf#y; D+bA?%gy] ??ϑi6;%j/p%vneBKo2unLɯrn2#_9~2=dջ}u2)f ,PsqLn+P12?:5;=Yౡunwv_E9Ƥ 2mwrfxD˜#zez?i_k*#e^ys=ϓiшa>b/E-zK2.n{1?z8_Amׂ:Avm\&0 ɖ̓/wO>꟏~ 乂w> BԫD>^[N)rȟAp~.ةf/:?@zP|?<zdEs~[y;kv~v~zٙozs$;wgRK_2X~\v58ϴs rYvg7g>n;g_QwA;Q;?ES?WgBDX+޿OǍԼب_M݂;)w=>;}3uq0oՁ_:H5o˙y= qpF8p:~A?2dc堏䇎wp{acvS`_Y<% t2W98& Is`'OҜ?+o}sqƺB;CV܇ kJx .U/O܇eiȝE?4/hWQ ثB|nPi]E>j=A>yvRMvt򺓓tu''Ru/'+߻̧y;978rz'UuN78eؗ3G"ÿ|}'*M,d_i;=JY~MN JBwLv7Ay9DOr QuF|Ƿuu[]gB@8hQqC u 40zĽAޜtI.Kt1#FMpP(orCX?){ɧf] o [#y9ȝ_E}S| Ǵ/rpD^-NNo'4%*;6Uk5'd>д/wrNs'g&w8@dfQq דɎuiNԁtj qRԞF'ZvxY|?AIzXs`gjQD'gX~Y>،9m8Ӡx{ဓ>(X|(x<N|09_pG^A<͹'pyj9Ml r!q=ȏ X 4*rr$s^,#3O!2QYf5dz<-tMF ~mjnu֕YO=Зv.Jm-s>Z|;밃uI<$s?t2zQ=]e !ӷ/d~%mhO"*5V*3y+ӜKZ~x]ijI2ϙ\)*z R Q6a cP~]֝jmYh+W8o F CD:hAa(Tr[M>?=M 4疮p R[Nlcpn}1M!-l ?(gL:_?/V+ͼWoR& ~z|oU(|}+G'N(#[{W_R/+O p>o  ϝ {!gsxrq?u|*.!pN\xx.qutqQ.aߚ_+ֻB_/S@]E/oj;1.;SS;ޝ⺍sa8ߋ $@dv".*W =eB. tq^q ؽ⺽M[SSY:\ +]<V8-*P.|EUw 빎y W9+Ǿ@3ǻ*12MU(g@KlrݷS@s^uP9TTc.|F\c>NŻS,n~y6eO@Ux82Q<$8綁4~uX| ~b=gghڹrt{PkˠrS|R|}Ou_\OU~o]9P7G׫F_Ӎ<ٿni9n-i? tp3oݔV|VY]ȿoM]6̗@݂u =}9WnE9 ƾxw#f`}^# vֹ1OQL|x,fTFEWX[O; h *}yVv_mzs]y >?E|zh;,5}B_%Y97K`ע 4XK_Zg}euW^g}tPsD߷t~p/ms6VA 4N:ߵa]t7f@sEiBO:@wwysǰGt=s] ·@? 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The segmentation was done by FreeSurfer % and there are 41 different types of tissues. Each tissue % type is labeled by a unique integer. fprintf(1,'loading segmented brain image...\n'); for i=1:256 brain(:,:,i)=imread('brain_seg.tif',i); end brain=uint8(brain); % call cgalmesher to mesh the segmented volume % this will take 30 seconds on an Intel P4 2.4GHz PC fprintf(1,'meshing the segmented brain (this may take a few minutes) ...\n'); [node,elem,face]=v2m(brain,[],2,100,'cgalmesh'); figure hs=plotmesh(node,face,'y>100'); axis equal; title('cross-cut view of the generated surface mesh'); % find the sub-region number 3, it happens to be the right-hemisphere % cerebellum white matter. Use volface to extract the white matter surface. fprintf(1,'extracting the right-hemisphere cerebellum white matter surface\n') LHwhitemat=elem(find(elem(:,5)==5),:); wmsurf=volface(LHwhitemat(:,1:4)); figure; hs=plotmesh(node,wmsurf); axis equal; title('pre-smoothed cerebellum white matter surface'); fprintf(1,'performing mesh smoothing on the white matter surface\n') [no,el]=removeisolatednode(node,wmsurf); wmno=sms(no(:,1:3),el,3,0.5); figure; hs=plotmesh(wmno,el); axis equal; title('smoothed cerebellum white matter surface of the right-hemisphere'); fprintf(1,'generate volumetric mesh from the smoothed cerebellum white matter surface \n') [wmnode,wmelem,wmface]=s2m(wmno(:,1:3),el(:,1:3),1,200); octave-iso2mesh-1.9.6+ds/sample/tube_surface.mat0000644001356000007640000010720413724766530020571 0ustar fangqadminMATLAB 5.0 MAT-file, Platform: PCWIN, Created on: Wed Nov 14 17:10:57 2007 IM߀x,eVUӅ>gCwww#Ht HtwItww|y_kqOzz)?<i Z_F9<GEQ(:㡸xBOQ2<JEi (=e³xNxAT/ Q1*Ee <^U«xMTjQ=j7EM9¿Gm= uĻ.xz}Q|C|FX|OBh >MgY\4_㿡ER_+h57 ߎN|/ڃ@!(:@7:_@K"/_G[&~c/ zGO#}X)Ext bqQ<'Fd()0i Io2@&l&; CNS B. 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This will call % cgalmesher to process labled volume to produce surfaces % and tetrahedral mesh in a single run. clear opt opt.radbound=2; [node,elem,face]=v2m(uint8(volimage),0.5,opt,100,'cgalmesh'); %% visualize the resulting mesh plotmesh(node,face(:,1:3)); axis equal; octave-iso2mesh-1.9.6+ds/sample/demo_shortcut_ex1.m0000644001356000007640000000213213724766530021223 0ustar fangqadmin%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % demo script for using short-hand version of the meshing wrappers %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% preparation % user must add the path of iso2mesh to matlab path list % addpath('../'); % user need to add the full path to .../iso2mesh/bin directory % to windows/Linux/Unix PATH environment variable %% load the sample data load rat_head.mat % volimage is a volumetric image such as an X-ray or MRI image %% v2m is the short-hand version of vol2mesh % mesh volimage at threshold level 0.05, max surface element size 3, % maximum tetrahedral element volume 2 [node,elem,face]=v2m(volimage,0.05,3,2); %% visualize the resulting mesh subplot(211); plotmesh(node,face); axis equal; %% alternatively, one can call vol2surf and surf2mesh separately % v2s: shorthand version of vol2surf, s2m: shorthand version of surf2mesh [node,face,regions,holes]=v2s(volimage,0.05,3); [node,elem,face]=s2m(node,face,1,2); %% visualize the resulting mesh subplot(212) plotmesh(node,face); axis equal; octave-iso2mesh-1.9.6+ds/sample/demo_grayscale_ex1.m0000644001356000007640000000145613724766530021332 0ustar fangqadmin% this example demonstrates how to mesh a gray-scale volume directly. % the data set is a Jacobian matrix obtained by multiplying two % Green's functions % see Appendix in Qianqian Fang, Computational methods for microwave medical imaging. Ph.D. % Dissertation, Dartmouth College, Hanover, NH, U.S.A., Dec 2004. [xi,yi,zi]=meshgrid(1:40,1:40,1:80); r1=[xi(:)-20,yi(:)-20,zi(:)-20]; r2=[xi(:)-20,yi(:)-20,zi(:)-60]; r1=reshape(r1(:,1).^2+r1(:,2).^2+r1(:,3).^2,size(xi)); r2=reshape(r2(:,1).^2+r2(:,2).^2+r2(:,3).^2,size(xi)); k=10; % generate Green's functions g1=exp(sqrt(-1)*k*r1)./(4*pi*r1); g2=exp(sqrt(-1)*k*r2)./(4*pi*r2); %get Jacobian (sensitivity) g12=g1.*g2; % create a mesh based on the level-set at log(J)=-7.5 [node,elem,face]=v2m(log10(abs(g12))+10,2.5,2,10,'cgalsurf'); plotmesh(node,face); octave-iso2mesh-1.9.6+ds/sample/demo_merge_surfaces.m0000644001356000007640000000220113724766530021562 0ustar fangqadmin%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Merge multiple surfaces and remove self-intersection elements %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % generate a mesh for load rat_head.mat [node0,face0]=v2s(volimage,0.5,2); c0=mean(meshcentroid(node0,face0(:,1:3))); c1=2*[18.5 20.7 20.9]-c0; [cnode,cface]=meshacylinder(c0,c1,4); [cnode,cface]=meshcheckrepair(cnode,cface(:,1:3)); % combine two surfaces, producing 4 pieces of subsurfaces: surf 1 % outside/inside of surf2 and surf2 outside/inside of surf1 [no,el]=surfboolean(node0,face0(:,1:3),'all',cnode,cface); figure plotmesh(no,el,'y>20') % take the first surface only % el(:,4)==1: surf 1 outside of surf 2; el(:,4)==3: surf 1 inside of surf 2 [no,el]=surfboolean(node0,face0(:,1:3),'first',cnode,cface); figure plotmesh(no,el) % the mesh after boolean operation can have self-intersecting elements, one % has to fix those defects before passing to s2m [no1,el1]=meshcheckrepair(no(:,1:3),el(:,1:3),'meshfix'); %ISO2MESH_TETGENOPT=' -A -q 0.8 -a 10 '; [node,elem,face]=s2m(no1,el1,1,10); figure; plotmesh(node,face) octave-iso2mesh-1.9.6+ds/sample/demo_insert_nodes.m0000644001356000007640000000147713724766530021302 0ustar fangqadmin%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % demo script to insert new nodes to a tetrahedral mesh %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% load rat_head.mat [node,elem,face]=vol2mesh(volimage>0.05,1:size(volimage,1),1:size(volimage,2),... 1:size(volimage,3),2,2,1); plotmesh(node,face); dt=pi/10; r=3; x0=30; y0=28; theta=dt:dt:2*pi; x=x0+r*cos(theta); y=y0+r*sin(theta); p0=[x;y;ones(1,length(theta))*50]'; v0=[0,0,-1]; [t,u,v,idx,xnode]=raysurf(p0,v0,node,face(:,1:3)); hold on plotmesh(p0,'r+'); goodpt=find(~isnan(xnode(:,1)) & ~isnan(xnode(:,2)) & ~isnan(xnode(:,3))); [newnode,newelem,newface]=meshrefine(node,elem,face,xnode(goodpt,:)); figure plotmesh(newnode,newface); hold on plotmesh(p0,'r+'); plotmesh(xnode,'r.') octave-iso2mesh-1.9.6+ds/sample/helloworld_gray.png0000644001356000007640000001140413724766530021316 0ustar fangqadminPNG  IHDRm@ KsRGBbKGD̿ pHYs  tIME,;*tEXtCommentCreated with GIMPWcIDATx{y?{gvrg!\l 42DI:mnqMMS뤙:Dj3f$MhZ@P-.7]`/d}y/|wa\>|9<9EF2ITQI9eP)~b!p`f&)"d%>r~2y[x1^V:IXA^PV&d,F| 0pTfGG%T4hyPLE2%SF2pĹ"I{llmVڐ5a6s;iEz^d7xY8<_ye5V<9eO'-_Y֜i* /ĭhƍUHK7BjC*LQ}ڴWLBw͈qd*$2L)^Sfrd4"+:t iBIL G>zԱ_ %GBfM 4͘vz$/;4fMfi*iT:292]*dgD&?.!3OLfFfNqd*,_H-TΣĈLniXK/3LntI͚=. 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Create a Spherical Mesh %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% [no,el]=meshasphere([30 30 30],20,2.5); %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Part I. A Coarse Mesh for a Sphere Inside a Box with Refinement %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % generate a coarse volumetric mesh from the sphere with an additional bounding box % the maximum element volume is 8 ISO2MESH_SESSION='demo_sph3_'; srcpos=[30. 30. 0.]; % set the center of the ROI fixednodes=[30.,30.,0.1; 30 30 30]; % add control points so we can refine mesh densities there nodesize=[ones(size(no,1),1) ; 0.2; 4]; % set target edge size of 1 for all nodes on the sphere % target edge size 0.3 near (30,30,0.05) % and target edge size 4 near (30,30,30) nfull=[no;fixednodes]; % append additional control points [node3,elem3,face3]=surf2mesh([nfull,nodesize],el,[0 0 0],[61 61 61],1,8,[30 30 30],[],[2 2 2 2 6 6 6 6]); % ^- add node size as the last ^ max volume ^- edge sizes at the 8 % column to node corners of the bounding box [node3,elem3,face3]=sortmesh(srcpos,node3,elem3,1:4,face3,1:3); % reorder the nodes/elements % so that the nodes near earch order % are more clustered in the memory elem3(:,1:4)=meshreorient(node3,elem3(:,1:4)); % reorient elements to ensure the volumns are positive %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Part II. A Dense Mesh for a Sphere Inside a Box with Refinement %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % generate a dense volumetric mesh from the sphere with an additional bounding box % the maximum element volume is 2 ISO2MESH_SESSION='demo_sph2_'; nodesize=[0.7*ones(size(no,1),1) ; 0.2; 2]; % set target edge size to 0.7 near the sphere % 0.2 near (30,30,0.5) and 2 near (30,30,30) [node2,elem2,face2]=surf2mesh([nfull,nodesize],el,[0 0 0],[61 61 61],1,2,[30 30 30],[],[1 1 1 1 5 5 5 5]); figure; plotmesh(node2,face2(:,1:3),'y>30');axis equal; [node2,elem2,face2]=sortmesh(srcpos,node2,elem2,1:4,face2,1:3); elem2(:,1:4)=meshreorient(node2,elem2(:,1:4)); %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Part III. A Coarse Mesh for a Sphere Inside a Box without Refinement %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% ISO2MESH_SESSION='demo_sph1_'; % reduce the surface node numbers to 20% [no2,el2]=meshresample(no,el,0.2); % down sample the sphere mesh % using the coarse spherical surface, we generate a coarse volumetric % mesh with maximum volume of 10 [node1,elem1,face1]=surf2mesh(no2,el2,[0 0 0],[61 61 61],1,10,[30 30 30],[],1); [node1,elem1,face1]=sortmesh(srcpos,node1,elem1,1:4,face1,1:3); elem1(:,1:4)=meshreorient(node1,elem1(:,1:4)); clear ISO2MESH_SESSION octave-iso2mesh-1.9.6+ds/sample/iso2mesh_bar.tif0000644001356000007640000000170213724766530020474 0ustar fangqadminII*&jʰC Al4d0@dd@Cb-pDCdl$ 0 0tRI pl H IK}WA' 6*<{I?\@&k 0NgP0s5u .}NiWzId3t]%K N:_4~@ od " =+տIH4!"km֖A?-[pxO`TM=aJh-%\%ޜ@&j  ak u5s NbAh/5_Juҥ@uk ~_Bu_i/I0Ki~J_oH0׆W(:+uA zIVH& L?&D85 H9:P7 `:T X}BQA?Aa [0iz54oKi"6"U_F˯@k[]u/W ^ O" T=/KKIzJ]|@& 00T` 3a>FBS.u 鴫t[IZҰ+ҾI7ⴹVAaA6i~J :[QXaAdQ(pV-k *`G A.8a acDBa!Z0XƤ GK(r>jHHoctave-iso2mesh-1.9.6+ds/sample/demo_helloworld.m0000644001356000007640000000333213724766530020751 0ustar fangqadmin%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Hello World - The "getting started" example of iso2mesh %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % In this example, we illustrate the basic mesh density and precision % controls in iso2mesh. %% the first step is to load a binary or gray-scale image hw=imread('helloworld.png'); % now we stack the image and form a binary volume hw3d=1-repmat(hw,[1 1 50]); %% create 3D mesh |--------> threshold at v=0.7 [node,elem,face]=v2m(hw3d,0.7,5,40); % | |-> maximum volume % |----> maximum surface triangle size figure; subplot(211); plotmesh(node,face);axis equal;view(90,60); subplot(212); plotmesh(node,elem,'z<20');axis equal;view(90,60); % mesh with denser surface |----> surface triangle size is now 2 [node,elem,face]=v2m(hw3d,0.7,2,40); figure; subplot(211); plotmesh(node,face);axis equal;view(90,60); subplot(212); plotmesh(node,elem,'z<20');axis equal;view(90,60); %% create 3D mesh from gray-scale image to get smoother boundary hw=imread('helloworld_gray.png'); hw3d=255-repmat(hw,[1 1 50]); [node,elem,face]=v2m(hw3d,128,2,40); figure; subplot(211); plotmesh(node,face);axis equal;view(90,60); subplot(212); plotmesh(node,elem,'z<20');axis equal;view(90,60); %% create 3D mesh from gray-scale image with advanced distbound control clear opt opt.radbound=4; % set surface triangle maximum size opt.distbound=0.2; % set max distance that deviates from the level-set opt.autoregion=1; [node,elem,face]=v2m(hw3d,128,opt,40); figure; subplot(211); plotmesh(node,face);axis equal;view(90,60); subplot(212); plotmesh(node,elem,'z<20');axis equal;view(90,60); octave-iso2mesh-1.9.6+ds/sample/demo_vol2mesh_ex2.m0000644001356000007640000000143713724766530021117 0ustar fangqadmin% sample script to create volumetric mesh from % multiple levelsets of a binary segmented head image. % % Author: Qianqian Fang % load iso2mesh image img=imread('iso2mesh_bar.tif'); img=fliplr(img); fullimg=repmat(1-img,[1,1,30]); fullimg(:,:,31:60)=repmat(ones(size(img)),[1,1,30]); % create volumetric tetrahedral mesh from the two-layer 3D images % this may take another few minutes for a 256x256x256 volume clear opt opt.keepratio=0.1; % this option is only useful when vol2mesh uses 'simplify' method opt.radbound=3; % set the target surface mesh element bounding sphere be <3 pixels in radius. tic [node,elem,face]=vol2mesh(fullimg,1:size(fullimg,1),1:size(fullimg,2),1:size(fullimg,3),opt,100,1); toc hb=plotmesh(node,face); axis equal view(-90.5,-72); octave-iso2mesh-1.9.6+ds/sample/demo_surf2vol_ex1.m0000644001356000007640000000332213724766530021134 0ustar fangqadmin%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % demo script to convert a closed surface to a binary image %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% preparation % user must add the path of iso2mesh to matlab path list % addpath('../'); %% load the sample data load rat_head.mat % first, generate a surface from the original image % similar to demo_shortcuts_ex1.m [node,face,regions,holes]=v2s(volimage,0.5,3); node=sms(node,face(:,1:3),3,0.5); % apply 3 mesh smoothing mdim=ceil(max(node)+1); dstep=0.25; zslice=15; xrange=0:dstep:mdim(1); yrange=0:dstep:mdim(2); zrange=0:dstep:mdim(3); img=surf2vol(node,face(:,1:3),xrange,yrange,zrange); imagesc(squeeze(img(:,:,zslice))); % z=10 hold on z0=zslice*dstep; plane=[min(node(:,1)) min(node(:,2)) z0 min(node(:,1)) max(node(:,2)) z0 max(node(:,1)) min(node(:,2)) z0]; % run qmeshcut to get the cross-section information at z=mean(node(:,1)) % use the x-coordinates as the nodal values [bcutpos,bcutvalue,bcutedges]=qmeshcut(face(:,1:3),node,node(:,1),plane); [bcutpos,bcutedges]=removedupnodes(bcutpos,bcutedges); bcutloop=extractloops(bcutedges); bcutloop(isnan(bcutloop))=[]; % there can be multiple loops, remove the separators plot(bcutpos(bcutloop,2)*(1/dstep),bcutpos(bcutloop,1)*(1/dstep),'w'); if(isoctavemesh) if(~exist('bwfill')) error('you need to install octave-image toolbox first'); end img2=zeros(size(img),'uint8'); for i=1:size(img,3) img2(:,:,i)=bwfill(img(:,:,i),'holes'); end img2=img2+img; else img2=imfill(img,'holes')+img; end figure; imagesc(squeeze(img2(:,:,zslice))); % z=10 hold on; plot(bcutpos(bcutloop,2)*(1/dstep),bcutpos(bcutloop,1)*(1/dstep),'y--'); octave-iso2mesh-1.9.6+ds/sample/demo_vol2mesh_ex1.m0000644001356000007640000000202313724766530021106 0ustar fangqadmin%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % demo script for mesh generation from binarized volumetric image %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% preparation % user must add the path of iso2mesh to matlab path list % addpath('../'); % user need to add the full path to .../iso2mesh/bin directory % to windows/Linux/Unix PATH environment variable %% load the sample data load rat_head.mat % volimage is a volumetric image such as an X-ray or MRI image % A,b are registration matrix and vector, respectively %% perform mesh generation [node,elem,face]=vol2mesh(volimage>0.05,1:size(volimage,1),1:size(volimage,2),... 1:size(volimage,3),2,2,1); %% alternatively, one can use the following cmd as a less robust approach % [node,elem,face]=vol2mesh(volimage>0.05,1:size(volimage,1),1:size(volimage,2),... % 1:size(volimage,3),0.2,2,1,'simplify'); %% visualize the resulting mesh plotmesh(node,face); axis equal; octave-iso2mesh-1.9.6+ds/sample/helloworld.png0000644001356000007640000000156713724766530020305 0ustar fangqadminPNG  IHDRmWsRGBPLTEٟbKGDH pHYs  tIME2ȝwtEXtCommentCreated with GIMPWIDATXYn b, @$n4dQ8|XPU`q$%M= K>=tNT=ET:[Sat,FP1C}ejM ]ʤ턂+ʼKy)|"МSeoWpHWJI mzT_).j'hKe9xR}R&nq,5RA|b"⮍qPH$Cz, £TijLTñjX5j* {ܞ*~>N 'N+i=RjenVj[(sRVH㔇JV[V*SUFӊS"&>DBTC9-+]RzW55+M ezJJL-{Ϭ0ClUIw+P@qU*n{[ʈ 8JUn_ kUBٔoUGʥ{˼WH5YMf>m4_fկgE>MjdqU1*𨇴GpED5iiq&$GPdzXIENDB`octave-iso2mesh-1.9.6+ds/sample/demo_qmeshcut_ex1.m0000644001356000007640000000464613724766530021215 0ustar fangqadmin% qmeshcut demonstration % % by Qianqian Fang, % % to demonstrate how to use qmeshcut to produce cross-sectional plot % of an un-structured (tetrahedral) mesh % run vol2mesh demo 1 to create a 3d mesh demo_vol2mesh_ex1 % define a plane by 3 points, in this case, z=mean(node(:,3)) z0=mean(node(:,3)); plane=[min(node(:,1)) min(node(:,2)) z0 min(node(:,1)) max(node(:,2)) z0 max(node(:,1)) min(node(:,2)) z0]; % run qmeshcut to get the cross-section information at z=mean(node(:,1)) % use the x-coordinates as the nodal values [cutpos,cutvalue,facedata]=qmeshcut(elem(:,1:4),node,node(:,1),plane); % plot your results figure; hsurf=trimesh(face(:,1:3),node(:,1),node(:,2),node(:,3),'facecolor','none'); hold on; if(isoctavemesh) hcut=patch('Faces',facedata,'Vertices',cutpos); else hcut=patch('Faces',facedata,'Vertices',cutpos,'FaceVertexCData',cutvalue,'facecolor','interp'); end %set(hcut, 'linestyle','none') axis equal; % qmeshcut can also cut a surface [bcutpos,bcutvalue,bcutedges]=qmeshcut(face(:,1:3),node,node(:,1),plane); [bcutpos,bcutedges]=removedupnodes(bcutpos,bcutedges); bcutloop=extractloops(bcutedges); bcutloop(isnan(bcutloop))=[]; % there can be multiple loops, remove the separators % plot the plane-surface cuts plot3(bcutpos(bcutloop,1),bcutpos(bcutloop,2),bcutpos(bcutloop,3),'r','LineWidth',4); % essencially, this should be the same as you do a removedupnodes(cutpos,facedata) % and then call extractloop(facedata) % qmeshcut can also cut along an isosurface % define a field over the mesh: sensitivity map from a source/detector pair r1=[node(:,1)-20,node(:,2)-25,node(:,3)-25]; r2=[node(:,1)-10,node(:,2)-25,node(:,3)-14]; r1=sqrt(r1(:,1).^2+r1(:,2).^2+r1(:,3).^2); r2=sqrt(r2(:,1).^2+r2(:,2).^2+r2(:,3).^2); k=10; g1=exp(sqrt(-1)*k*r1)./(4*pi*r1); % calculate the Green's function g2=exp(sqrt(-1)*k*r2)./(4*pi*r2); g12=g1.*g2; % this is the sensitivity map figure plotmesh([node log10(abs(g12))],elem,'facealpha',0.5,'linestyle','none'); % plot the mesh hold on; % cut the mesh at value=-4 [cutpos,cutvalue,facedata]=qmeshcut(elem(:,1:4),node(:,1:3),log10(abs(g12)),-4); patch('Vertices',cutpos,'Faces',facedata,'FaceVertexCData',cutvalue,'FaceColor','interp'); % cut the mesh at value=-4.5 [cutpos,cutvalue,facedata]=qmeshcut(elem(:,1:4),node(:,1:3),log10(abs(g12)),-4.5); patch('Vertices',cutpos,'Faces',facedata,'FaceVertexCData',cutvalue,'FaceColor','interp'); octave-iso2mesh-1.9.6+ds/mergemesh.m0000644001356000007640000000404013724766530016262 0ustar fangqadminfunction [newnode,newelem]=mergemesh(node,elem,varargin) % % [newnode,newelem]=mergemesh(node,elem,varargin) % % concatenate two or more tetrahedral meshes or triangular surfaces % % author: Qianqian Fang % % input: % node: node coordinates, dimension (nn,3) % elem: tetrahedral element or triangle surface (nn,3) to (nn,5) % % output: % newnode: the node coordinates after merging, dimension (nn,3) % newelem: tetrahedral element or surfaces after merging (nn,4) or (nhn,5) % % note: you can call meshcheckrepair for the output newnode and % newelem to remove the duplicated nodes or elements. mergemesh does % detect self-intersecting elements when merging; to remove self-intersecting % elements, you need to use mergesurf(). % % example: % % [node1,face1,elem1]=meshabox([0 0 0],[10 10 10],1,1); % [node2,face2,elem2]=meshasphere([5 5 13.1],3,0.3,3); % [newnode,newelem]=mergemesh(node1,elem1,node2,elem2); % plotmesh(newnode,newelem); % figure; % [newnode,newface]=mergemesh(node1,face1,node2,face2); % plotmesh(newnode,newface,'x>5'); % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % len=length(varargin); newnode=node; newelem=elem; if(len>0 && mod(len,2)~=0) error('you must give node and element in pairs'); end X=mesheuler(newelem); if(size(newelem,2)==4) if(X>=0) newelem(:,end+1)=1; end end if(size(newelem,2)==3) newelem(:,end+1)=1; end for i=1:2:len no=varargin{i}; el=varargin{i+1}; baseno=size(newnode,1); if(size(no,2)~=size(newnode,2)) error('input node arrays have inconsistent columns'); end if(size(el,2)==5 || size(el,2)==4) el(:,1:4)=el(:,1:4)+baseno; if(size(el,2)==4 && X>=0) el(:,5)=1+(i+1)/2; end newnode=[newnode;no]; newelem=[newelem;el]; elseif(size(el,2)==3 && size(newelem,2)==4) el(:,1:3)=el(:,1:3)+baseno; if(size(el,2)==3) el(:,4)=1+(i+1)/2; end newnode=[newnode;no]; newelem=[newelem;el]; else error('input element arrays have inconsistent columns'); end end octave-iso2mesh-1.9.6+ds/img2mesh.m0000644001356000007640000011702113724766530016025 0ustar fangqadminfunction varargout = img2mesh(varargin) % % Format: % newworkspace = img2mesh or imgmesh(workspace) % % A GUI for Iso2Mesh for streamlined mesh data processing % % Author: Qianqian Fang % % Input: % workspace (optional): a struct containing the below fields % .graph: a digraph object containing the i2m workspace data % Output: % newworkspace (optional): the updated workspace, with the same % subfields as the input. % % If a user supplys an output variable, the GUI will not return until % the user closes the window; if a user does not provide any output, % the call will return immediately. % % Please find more information at http://iso2mesh.sf.net/ % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % % Begin initialization code - DO NOT EDIT gui_Singleton = 1; gui_State = struct('gui_Name', mfilename, ... 'gui_Singleton', gui_Singleton, ... 'gui_OpeningFcn', @i2m_OpeningFcn, ... 'gui_OutputFcn', @i2m_OutputFcn, ... 'gui_LayoutFcn', [] , ... 'gui_Callback', []); if nargin && ischar(varargin{1}) gui_State.gui_Callback = str2func(varargin{1}); end if nargout [varargout{1:nargout}] = gui_mainfcn(gui_State, varargin{:}); else gui_mainfcn(gui_State, varargin{:}); end % End initialization code - DO NOT EDIT % --- Executes just before i2m is made visible. function i2m_OpeningFcn(hObject, eventdata, handles, varargin) cm = uicontextmenu; uimenu(cm,'Label','Plot','CallBack',{@processdata,handles}); uimenu(cm,'Label','Rename','CallBack',{@processdata,handles}); uimenu(cm,'Label','Delete','CallBack',{@processdata,handles}); mimeshing = uimenu(cm,'Label','Meshing'); miv2s = uimenu(mimeshing,'Label','Volume to surface','CallBack',{@processdata,handles}); uimenu(mimeshing,'Label','Volume to mesh','CallBack',{@processdata,handles}); uimenu(mimeshing,'Label','Surface to mesh','CallBack',{@processdata,handles}); uimenu(mimeshing,'Label','Surface to volume','CallBack',{@processdata,handles}); uimenu(mimeshing,'Label','Close and fill volume','CallBack',{@processdata,handles}); uimenu(mimeshing,'Label','Extract surface','CallBack',{@processdata,handles}); uimenu(mimeshing,'Label','Tessellate surface','CallBack',{@processdata,handles}); mirepair = uimenu(cm,'Label','Surface repair'); uimenu(mirepair,'Label','Clean surface','CallBack',{@processdata,handles}); uimenu(mirepair,'Label','Repair surface','CallBack',{@processdata,handles}); uimenu(mirepair,'Label','Smooth surface','CallBack',{@processdata,handles}); uimenu(mirepair,'Label','Simplify surface','CallBack',{@processdata,handles}); uimenu(mirepair,'Label','Remesh surface','CallBack',{@processdata,handles}); uimenu(mirepair,'Label','Simplify surface','CallBack',{@processdata,handles}); uimenu(mirepair,'Label','Reorient mesh elements','CallBack',{@processdata,handles}); mibool = uimenu(cm,'Label','Surface boolean'); uimenu(mibool,'Label','Or','CallBack',{@processdata,handles}); uimenu(mibool,'Label','And','CallBack',{@processdata,handles}); uimenu(mibool,'Label','All','CallBack',{@processdata,handles}); uimenu(mibool,'Label','Diff','CallBack',{@processdata,handles}); uimenu(mibool,'Label','First','CallBack',{@processdata,handles}); uimenu(mibool,'Label','Second','CallBack',{@processdata,handles}); mireport = uimenu(cm,'Label','Report'); uimenu(mireport,'Label','Containing data','CallBack',{@processdata,handles}); uimenu(mireport,'Label','Mesh quality histogram','CallBack',{@processdata,handles}); uimenu(mireport,'Label','Element volume histogram','CallBack',{@processdata,handles}); uimenu(mireport,'Label','Total volume','CallBack',{@processdata,handles}); mirefresh=uimenu(cm,'Label','Refresh','CallBack',{@miRefresh_Callback,handles}); uimenu(cm,'Label','Save as','CallBack',{@processdata,handles}); miv2s.Separator='on'; mimeshing.Separator='on'; mirefresh.Separator='on'; root=get(handles.fgI2M,'userdata'); if(isempty(root)) root=struct('graph',digraph,'menu',cm); end set(handles.fgI2M,'userdata',root); set(handles.axFlow,'position',[0 0 1 1]); set(handles.axPreview,'position',[0 0 1 1]); set(handles.fgI2M,'UIContextMenu',handles.meCreate); axis(handles.axFlow,'off'); axis(handles.axPreview,'off'); % Choose default command line output for i2m handles.output = hObject; % Update handles structure guidata(hObject, handles); % UIWAIT makes i2m wait for user response (see UIRESUME) % uiwait(handles.fgI2M); function processdata(source,callbackdata,handles) try obj=get(handles.fgI2M,'currentobject'); if(strcmp(class(obj),'matlab.graphics.chart.primitive.GraphPlot')==0) if(~isempty(obj.UserData) && strcmp(class(obj.UserData),'matlab.graphics.chart.primitive.GraphPlot')) obj=obj.UserData; else return end end root=get(handles.fgI2M,'userdata'); pos=get(handles.axFlow,'currentpoint'); [nodedata,nodetype,nodeid]=getnodeat(root,obj,pos); newtype=dummytype; prefix='x'; switch source.Label case 'Volume to surface' if(isstruct(nodetype) && isfield(nodetype,'hasvol') && nodetype.hasvol) [newdata,newtype]=v2sgui(nodedata); prefix='Vol2Surf'; else error('no volume data found'); end case 'Volume to mesh' if(nodetype.hasvol) [newdata,newtype]=v2mgui(nodedata); prefix='Vol2Mesh'; else error('no volume data found'); end case 'Surface to mesh' if(nodetype.hasnode && nodetype.hasface) [newdata,newtype]=s2mgui(nodedata); prefix='Surf2Mesh'; else error('no surface data found'); end case 'Surface to volume' if(nodetype.hasnode && nodetype.hasface) ndiv = inputdlg('Division number along the shortest dimension:',... 'surf2vol - rasterizing a surface mesh',1,{'50'}); if(isempty(ndiv)) return; end newdata.vol=s2v(nodedata.node,nodedata.face,str2num(ndiv{1})); newtype.hasvol=1; prefix='Surf2Vol'; else error('no surface data found'); end case 'Close and fill volume' if(nodetype.hasvol) rad=inputdlg('maximum gap length in voxel (scalar)','Close and fill a volume',1,{'1'}); newdata.vol=fillholes3d(nodedata.vol,str2num(rad{1})); newtype=nodetype; prefix='FillVol'; else error('no volume data found'); end case 'Extract surface' if(isstruct(nodetype) && isfield(nodetype,'hasvol') && nodetype.hasvol) [newdata.node,newdata.face]=binsurface(nodedata.vol); prefix='BinSurf'; elseif(nodetype.hasnode && nodetype.haselem) newdata.node=nodedata.node; newdata.face=volface(nodedata.elem(:,1:min(4,size(nodedata.elem,2)))); [newdata.node,newdata.face]=removeisolatednode(newdata.node,newdata.face); prefix='VolSurf'; elseif(nodetype.hasnode && nodetype.hasface) [newdata.node,newdata.face]=deal(nodedata.node,nodedata.face); prefix='CopySurf'; end newtype.hasnode=1; newtype.hasface=1; case 'Clean surface' if(nodetype.hasnode && nodetype.hasface) [newdata.node,newdata.face]=meshcheckrepair(nodedata.node,nodedata.face,'deep'); newtype=nodetype; prefix='CleanSurf'; else error('no surface data found'); end case 'Repair surface' if(nodetype.hasnode && nodetype.hasface) [newdata.node,newdata.face]=meshcheckrepair(nodedata.node,nodedata.face,'meshfix'); newtype=nodetype; prefix='RepairSurf'; else error('no surface data found'); end case 'Smooth surface' if(nodetype.hasnode && nodetype.hasface) res = inputdlg({'Method (laplacian,laplacianhc,lowpass):','Iteration (integer):','Alpha (scalar):'},... 'sms - smoothing a surface mesh',[1,1,1],{'lowpass','20','0.5'}); if(isempty(res)) return; end newdata=nodedata; newtype=nodetype; newdata.node=sms(nodedata.node,nodedata.face,str2num(res{2}),str2num(res{3}),res{1}); prefix='SmoothSurf'; else error('no surface data found'); end case 'Simplify surface' if(nodetype.hasnode && nodetype.hasface) res = inputdlg('Percentage of edges to keep (0-1):',... 'Simplify mesh',[1],{'1'}); if(isempty(res)) return; end [newdata.node,newdata.face]=meshresample(nodedata.node,nodedata.face,str2num(res{1})); newtype=nodetype; prefix='SimplifySurf'; else error('no surface data found'); end case 'Remesh surface' if(nodetype.hasnode && nodetype.hasface) res = inputdlg({'Rasterization voxel size (scalar):','Max gap to close (scalar):','Max surface element radis (scalar):'},... 'Remesh surface',[1,1,1],{'1','20','3'}); if(isempty(res)) return; end opt.gridsize=str2num(res{1}); opt.closesize=str2num(res{2}); opt.elemsize=str2num(res{3}); [newdata.node, newdata.face]=remeshsurf(nodedata.node,nodedata.face,opt); newtype.hasnode=1; newtype.hasface=1; prefix='RemeshSurf'; else error('no surface data found'); end case 'Tessellate surface' if(nodetype.hasnode && nodetype.hasface) [newdata.node,newdata.elem]=fillsurf(nodedata.node,nodedata.face); newdata.face=volface(newdata.elem(:,1:min(4,size(newdata.elem,2)))); newtype=nodetype; newtype.haselem=1; prefix='TessMesh'; else error('no surface data found'); end case 'Reorient mesh elements' if(nodetype.hasnode && nodetype.haselem) [newdata.node,newdata.elem]=meshreorient(nodedata.node,nodedata.elem); newtype=nodetype; prefix='ReorientMesh'; elseif(nodetype.hasnode && nodetype.hasface) [newdata.node,newdata.face]=surfreorient(nodedata.node,nodedata.face); newtype=nodetype; prefix='ReorientSurf'; else error('no surface or tetrahedral mesh data found'); end case 'Mesh quality histogram' if(nodetype.hasnode && nodetype.haselem) quality=meshquality(nodedata.node,nodedata.elem); elseif(nodetype.hasnode && nodetype.hasface) quality=meshquality(nodedata.node,nodedata.face); end if(exist('quality','var')) figure; hist(quality,50); end return; case 'Element volume histogram' if(nodetype.hasnode && nodetype.haselem) evol=elemvolume(nodedata.node,nodedata.elem); elseif(nodetype.hasnode && nodetype.hasface) evol=elemvolume(nodedata.node,nodedata.face); end if(exist('evol','var')) figure; hist(evol,50); end return; case 'Total volume' if(nodetype.hasnode && nodetype.haselem) evol=elemvolume(nodedata.node,nodedata.elem); elseif(nodetype.hasnode && nodetype.hasface) [no,el]=fillsurf(nodedata.node,nodedata.face); evol=elemvolume(no,el); end if(exist('evol','var')) msgbox(sprintf('Total volume is %f cubic voxel',sum(evol)),'Total volume'); end return; case 'Containing data' msg=''; if(nodetype.hasnode) msg=[msg sprintf('\nContaining %d nodes (%d columns)',size(nodedata.node,1),size(nodedata.node,2))]; end if(nodetype.hasface) msg=[msg sprintf('\nContaining %d triangles (%d columns)',size(nodedata.face,1),size(nodedata.face,2))]; end if(nodetype.haselem) msg=[msg sprintf('\nContaining %d tetrehedra (%d columns)',size(nodedata.elem,1),size(nodedata.elem,2))]; end if(nodetype.hasvol) msg=[msg sprintf('\nContaining [%d x %d x %d ] volume',size(nodedata.vol,1),size(nodedata.vol,2),size(nodedata.vol,3))]; end msgbox(msg,'Mesh data report'); return; case 'Plot' if(isstruct(nodetype) && isfield(nodetype,'hasnode') && nodetype.hasnode) if(isfield(nodetype,'haselem') && nodetype.haselem) figure('keypressfcn',@plotfigevent,'userdata',struct('node',nodedata.node,'face',[],'elem',nodedata.elem)); plotmesh(nodedata.node,[],nodedata.elem); else figure('keypressfcn',@plotfigevent,'userdata',struct('node',nodedata.node,'elem',[],'face',nodedata.face)); plotmesh(nodedata.node,nodedata.face); end else figure('keypressfcn',@plotfigevent,'userdata',struct('vol',nodedata.vol)); hs=slice(double(nodedata.vol),[],[ceil(size(nodedata.vol,2)*0.5)],ceil(size(nodedata.vol,3)*0.5)); set(hs,'linestyle','none'); end case {'Or','And','Diff','All','First','Second'} if(isstruct(nodetype) && isfield(nodetype,'hasnode')) if((nodetype.hasface || nodetype.haselem) && nodetype.hasnode) pt=ginput(1); [nodedata2,nodetype2,nodeid2]=getnodeat(root,obj,pt); if(~nodetype2.hasnode || ~nodetype2.hasface) if(nodetype2.hasnode && nodetype2.haselem) nodedata2.face=volface(nodedata2.elem); else error('Second operand does not contain a surface'); end end op=source.Label; if(strcmp(op,'Intersect')) op='inter'; end if(~nodetype.hasface) nodedata.face=volface(nodedata.elem); end [newdata.node,newdata.face]=surfboolean(nodedata.node,nodedata.face,lower(op),nodedata2.node,nodedata2.face(:,[1 3 2])); newtype.hasnode=1; newtype.hasface=1; prefix=source.Label; else warndlg('Selected node does not contain a surface mesh'); end end case 'Delete' button = questdlg('Are you sure to delete the selected node?', 'Confirm','No'); if strcmpi(button, 'No') || strcmpi(button, 'Cancel') return; end root.graph=rmnode(root.graph,root.graph.Nodes.Name{nodeid}); updategraph(root,handles); case 'Rename' newname = inputdlg('Define a new name:',... 'Rename',1,{root.graph.Nodes.Name{nodeid}}); if(isempty(newname)) return; end if(isempty(newname{1}) || ~isempty(cell2mat(regexp( root.graph.Nodes.Name, ['^' newname{1} '$'])))) error('empty or duplicated node name'); end root.graph.Nodes.Name{nodeid}=newname{1}; updategraph(root,handles); case 'Save as' if(~nodetype.haselem && ~nodetype.hasnode) error('selected data does not have a mesh'); return; end filter = {'*.jmesh';'*.*'}; [file, path] = uiputfile(filter,'Export mesh'); if ~isequal(file,0) && ~isequal(path,0) if(nodetype.haselem) savejmesh(nodedata.node,nodedata.face,nodedata.elem,fullfile(path,file)); else savejmesh(nodedata.node,nodedata.face,fullfile(path,file)); end end end if(exist('newdata','var') && exist('newtype','var')) cla(handles.axPreview); cla(handles.axFlow); newdata.preview=getpreview(newdata,newtype,[400,400]); [newkey,root.graph]=addnodewithdata(handles,newdata,newtype,prefix); root.graph=addedge(root.graph,{root.graph.Nodes.Name{nodeid}},{newkey}); if(strcmp(source.Parent.Type, 'uimenu') && strcmp(source.Parent.Label,'Surface boolean')) root.graph=addedge(root.graph,{root.graph.Nodes.Name{nodeid2}},{newkey}); end updategraph(root,handles); end catch ME msg=sprintf('Error: \n%s\n',ME.message); for e=1:length(ME.stack) msg=sprintf('%s\nFile: %s\nFunction: %s\nLine: %d\n\n',msg,ME.stack(e).file,ME.stack(e).name,ME.stack(e).line); end uiwait(warndlg(msg,'I2M ERROR')); updategraph(root,handles); end function plotfigevent(hobject,event) data=get(hobject,'userdata'); plotpos=[]; if(isfield(data,'plotpos')) plotpos=data.plotpos; end if(isempty(plotpos)) switch event.Key case {'rightarrow','uparrow'} plotpos=0; case {'leftarrow','downarrow'} plotpos=9; otherwise end end if(isfield(data,'node')) pmax=max(data.node); pmin=min(data.node); cla; switch event.Key case 'rightarrow' plotpos=min(plotpos+1,9); plotmesh(data.node,data.face,data.elem,sprintf('x>%f',(pmax(1)-pmin(1))*plotpos*0.1+pmin(1))) case 'leftarrow' plotpos=max(plotpos-1,0); plotmesh(data.node,data.face,data.elem,sprintf('x>%f',(pmax(1)-pmin(1))*plotpos*0.1+pmin(1))) case 'uparrow' plotpos=min(plotpos+1,9); plotmesh(data.node,data.face,data.elem,sprintf('y>%f',(pmax(2)-pmin(2))*plotpos*0.1+pmin(2))) case 'downarrow' plotpos=max(plotpos-1,0); plotmesh(data.node,data.face,data.elem,sprintf('y>%f',(pmax(2)-pmin(2))*plotpos*0.1+pmin(2))) otherwise end end data.plotpos=plotpos; set(hobject,'userdata',data); %---------------------------------------------------------------- function [nodedata,nodetype,nodeid]=getnodeat(root,obj,pos) nodedist=[obj.XData(:)-pos(1,1) obj.YData(:)-pos(1,2)]; nodedist=sum(nodedist.*nodedist,2); [mindist, nodeid]=min(nodedist); nodedata=root.graph.Nodes.Data{nodeid}; nodetype=root.graph.Nodes.Type{nodeid}; %---------------------------------------------------------------- function mytype=dummytype mytype.hasnode=0; mytype.hasface=0; mytype.haselem=0; mytype.hasvol=0; %---------------------------------------------------------------- function [newdata, newtype]=v2sgui(data) prompt = {'Threshold (scalar or array):',... 'Surface element radius bound (scalar):',... 'Surface element distance bound (scalar)','Method: (cgalsurf,cgalmesh,simplify)'}; title = 'vol2surf - extracting surface mesh from volume'; dims = [1 1 1 1]; definput = {'0.5','5','1','cgalsurf'}; res = inputdlg(prompt,title,dims,definput); newdata=[]; newtype=dummytype; if(isempty(res)) return; end opt=struct('radbound',str2num(res{2}),'distbound',str2num(res{3})); [newdata.node,newdata.face]=v2s(data.vol,eval(res{1}),opt, res{4}); newtype.hasnode=1; newtype.hasface=1; %---------------------------------------------------------------- function [newdata, newtype]=v2mgui(data) prompt = {'Threshold (scalar or []):',... 'Surface element radius bound (scalar):',... 'Surface element distance bound (scalar)',... 'Max element volume (scalar):',... 'Method (cgalsurf,cgalmesh,simplify):'}; title = 'vol2mesh - extracting tet mesh from volume'; dims = [1 1 1 1 1]; definput = {'[]','5','1','30','cgalmesh'}; res = inputdlg(prompt,title,dims,definput); newdata=[]; newtype=dummytype; if(isempty(res)) return; end opt=struct('radbound',str2num(res{2}),'distbound',str2num(res{3})); [newdata.node,newdata.elem,newdata.face]=v2m(data.vol,eval(res{1}),... opt, res{4}); newtype.hasnode=1; newtype.hasface=1; newtype.haselem=1; %---------------------------------------------------------------- function img=getpreview(nodedata,nodetype,imsize) hfpreview=figure('visible', 'off'); ax=axes('parent',hfpreview,'Units','pixels','position',[1, 1, imsize(1), imsize(2)]); if(isfield(nodetype,'haselem') && nodetype.haselem) plotmesh(nodedata.node,[],nodedata.elem,'linestyle',':','edgealpha',0.3,'parent',ax); elseif(isfield(nodetype,'hasface') && nodetype.hasface) plotmesh(nodedata.node,nodedata.face,'linestyle','-','parent',ax); elseif(isfield(nodetype,'hasvol') && nodetype.hasvol) hs=slice(double(nodedata.vol),[],[ceil(size(nodedata.vol,2)*0.5)],ceil(size(nodedata.vol,3)*0.5),'parent',ax); set(hs,'linestyle','none'); elseif(isfield(nodetype,'hasnode') && nodetype.hasnode) plotmesh(nodedata.node,'.','parent',ax); end set(ax,'color','none') axis(ax,'equal'); axis(ax,'off'); img=getframe(gca); img=flipud(img.cdata); delete(ax); close(hfpreview); %---------------------------------------------------------------- function [newdata, newtype]=s2mgui(data) prompt = {'Simplification ratio (%edges to keep, 0-1):',... 'Max element volume (scalar):',... 'Method (tetgen,tetgen1.5,cgalpoly):',... 'Region seeds (N x 3 array):',... 'Hole seeds (N x 3 array):'}; title = 'surf2mesh - creating tet mesh from surfaces'; dims = [1 1 1 1 1]; definput = {'1','30','tetgen','[]','[]'}; res = inputdlg(prompt,title,dims,definput); newdata=[]; newtype=dummytype; if(isempty(res)) return; end [newdata.node,newdata.elem,newdata.face]=... s2m(data.node,data.face,str2num(res{1}),... str2num(res{2}),res{3},eval(res{4}),eval(res{5})); newtype.hasnode=1; newtype.hasface=1; newtype.haselem=1; % --- Outputs from this function are returned to the command line. function varargout = i2m_OutputFcn(hObject, eventdata, handles) % varargout cell array for returning output args (see VARARGOUT); % hObject handle to figure % eventdata reserved - to be defined in a future version of MATLAB % handles structure with handles and user data (see GUIDATA) % Get default command line output from handles structure handles.output=get(handles.fgI2M,'userdata'); varargout{1} = handles.output; % -------------------------------------------------------------------- function miWeb_Callback(hObject, eventdata, handles) web('http://iso2mesh.sourceforge.net'); % -------------------------------------------------------------------- function miDoc_Callback(hObject, eventdata, handles) web('http://iso2mesh.sourceforge.net/cgi-bin/index.cgi?Doc'); % -------------------------------------------------------------------- function miAbout_Callback(hObject, eventdata, handles) helpmsg={ '\bf\fontsize{12}I2M: An Integrated GUI for Iso2Mesh Meshing Toolbox\rm\fontsize{10}', '', 'Copyright (c) 2018 Qianqian Fang ', '' 'Computational Optics&Translational Imaging Lab (http://fanglab.org)', 'Department of Bioengineering', 'Northeastern University', '360 Huntington Ave, Boston, MA 02115, USA', '', 'URL: http://iso2mesh.sourceforge.net', ''}; opt.Interpreter = 'tex'; opt.WindowStyle = 'modal'; msgbox(helpmsg,'About','help',opt); % -------------------------------------------------------------------- function miSphere_Callback(hObject, eventdata, handles) prompt = {'Center:','Radius (scalar):',... 'Surface element radius bound (scalar)',... 'Max element volume (scalar, 0 - only create surface):'}; title = 'Create Mesh'; dims = [1 1 1 1]; definput = {'[0 0 0]','50','6','20'}; res = inputdlg(prompt,title,dims,definput); if(isempty(res)) return; end newtype=dummytype; opt=str2num(res{3}); if(str2num(res{4})==0) [newdata.node,newdata.face]=meshasphere(eval(res{1}),... str2num(res{2}),opt); else [newdata.node,newdata.face,newdata.elem]=meshasphere(eval(res{1}),... str2num(res{2}),opt, str2num(res{4})); newtype.haselem=1; end newtype.hasnode=1; newtype.hasface=1; if(exist('newdata','var') && exist('newtype','var')) newkey=addnodewithdata(handles,newdata,newtype,'Sphere'); end % -------------------------------------------------------------------- function miBox_Callback(hObject, eventdata, handles) prompt = {'Diagonal end point 1 (1x3 vector):','Diagonal end point 2 (1x3 vector):',... 'Surface element radius bound (scalar)',... 'Max element volume (scalar, 0 - only create surface):'}; title = 'Create Mesh'; dims = [1 1 1 1]; definput = {'[0 0 0]','[100 60 30]','6','30'}; res = inputdlg(prompt,title,dims,definput); if(isempty(res)) return; end newtype=dummytype; opt=str2num(res{3}); if(str2num(res{4})==0) [newdata.node,newdata.face]=meshabox(eval(res{1}),eval(res{2}),opt); else [newdata.node,newdata.face,newdata.elem]=meshabox(eval(res{1}),... eval(res{2}),opt, str2num(res{4})); newtype.haselem=1; end newtype.hasnode=1; newtype.hasface=1; if(exist('newdata','var') && exist('newtype','var')) newkey=addnodewithdata(handles,newdata,newtype,'Box'); end % -------------------------------------------------------------------- function miCylinder_Callback(hObject, eventdata, handles) prompt = {'Axis end-point 1','Axis end-point 2','Radius (scalar):',... 'Surface element radius bound (scalar)',... 'Max element volume (scalar, 0 - only create surface):',... 'Circle division:'}; title = 'Create Mesh'; dims = [1 1 1 1 1 1]; definput = {'[0 0 0]','[0 0 50]','10','3','20','20'}; res = inputdlg(prompt,title,dims,definput); if(isempty(res)) return; end newtype=dummytype; opt=str2num(res{4}); maxvol=str2num(res{5}); if(maxvol==0) [newdata.node,newdata.face]=meshacylinder(eval(res{1}),eval(res{2}),... str2num(res{3}),opt); else [newdata.node,newdata.face,newdata.elem]=meshacylinder(eval(res{1}),eval(res{2}),... str2num(res{3}),opt,maxvol); newtype.haselem=1; end newtype.hasnode=1; newtype.hasface=1; if(exist('newdata','var') && exist('newtype','var')) newkey=addnodewithdata(handles,newdata,newtype,'Cyl'); end % -------------------------------------------------------------------- function miLoadVol_Callback(hObject, eventdata, handles) nodedata=struct; nodetype=dummytype; filters={'*.nii;*.hdr;*.img;*.tif;*.tiff;*.inr;*.bin;*.ubj','3D volume file (*.nii;*.hdr;*.img;*.tif;*.tiff;*.inr;*.bin;*.ubj)';... '*.nii','Nifti file (*.nii)';... '*.hdr;*.img','Analyze 7.5 file (*.hdr;*.img)';... '*.tif;*.tiff','Multipage TIFF file (*.tif)';... '*.inr','INR image (*.inr)';... '*.bin','Binary file (*.bin)';... '*.ubj','Universal JSON (*.ubj)';... '*.*','All (*.*)'}; [file,path,idx] = uigetfile(filters); if isequal(file,0) return; else if(regexp(file,'\.[Nn][Ii][Ii]$')) im=readnifti(fullfile(path,file)); nodedata.vol=im.img; nodetype.hasvol=1; elseif(regexp(file,'(\.[Hh][Dd][Rr]$|\.[Ii][Mm][Gg]$)')) im=readnifti(fullfile(path,file)); nodedata.vol=im.img; nodetype.hasvol=1; elseif(regexp(file,'\.[Tt][Ii][Ff][Ff]*$')) nodedata.vol=readmptiff(fullfile(path,file)); nodetype.hasvol=1; elseif(regexp(file,'\.[Ii][Nn][Rr]$')) nodedata.vol=readinr(fullfile(path,file)); nodetype.hasvol=1; elseif(regexp(file,'\.[Bb][Ii][Nn]$')) prompt = {'Dimension (1x3 vector):',... 'Datatype (short,float,double,integer,...):'}; title = 'Load generic binary file'; dims = [1 1]; definput = {'[]','short'}; [res,isok] = inputdlg(prompt,title,dims,definput); if(isok==0) return; end nodedata.vol=loadmc2(fullfile(path,file),eval(res{1}),res{2}); nodetype.hasvol=1; elseif(regexp(file,'\.[Uu][Bb][Jj]$')) nodedata=loadubjson(fullfile(path,file)); if(isstruct(nodedata) && isfield(nodedata,'vol')) nodetype.hasvol=1; end end end if(exist('nodedata','var')) nodetype=getnodetype(nodedata); if(nodetype.hasvol) addnodewithdata(handles,nodedata,nodetype,'Vol'); end else warndlg('no valid mesh data found','Warning'); end % -------------------------------------------------------------------- function miLoadMesh_Callback(hObject, eventdata, handles) nodedata=struct; nodetype=dummytype; filters={'*.jmesh;*.off;*.medit;*.smf;*.json','3D Mesh files (*.jmesh;*.off;*.medit;*.smf;*.json)';... '*.jmesh','JSON mesh (*.jmesh)';... '*.off','OFF file (*.off)';... '*.medit','Medit file (*.medit)';... '*.ele','Tetgen element mesh file (*.ele)';... '*.json','JSON file (*.json)';'*.*','All (*.*)'}; [file,path,idx] = uigetfile(filters); if isequal(file,0) return; else if(regexp(file,'\.[Oo][Ff][Ff]$')) [nodedata.node, nodedata.face]=readoff(fullfile(path,file)); elseif(regexp(file,'\.[Mm][Ee][Dd][Ii][Tt]$')) [nodedata.node, nodedata.elem]=readmedit(fullfile(path,file)); elseif(regexp(file,'\.[Ee][Ll][Ee]$')) [pathstr,name,ext] = fileparts(fullfile(path,file)); [nodedata.node, nodedata.elem]=readtetgen(fullfile(pathstr,name)); elseif(regexp(file,'\.[Jj][Mm][Ee][Ss][Hh]$')) nodedata=importjmesh(fullfile(path,file)); elseif(regexp(file,'\.[Jj][Ss][Oo][Nn]$')) nodedata=loadjson(fullfile(path,file)); end end if(exist('nodedata','var')) adddatatograph(handles,nodedata); else warndlg('no valid mesh data found','Warning'); end % -------------------------------------------------------------------- function miLoadSurf_Callback(hObject, eventdata, handles) nodedata=struct; nodetype=dummytype; filters={'*.jmesh;*.off;*.asc;*.smf;*.smf;*.json','3D Mesh files (*.jmesh;*.off;*.asc;*.smf;*.smf;*.json)';... '*.jmesh','JSON mesh (*.jmesh)';... '*.off','OFF file (*.off)';... '*.asc','ASC file (*.asc)';... '*.gts','GNU Trangulated Surface file (*.gts)';... '*.smf','Simple Model Format (*.smf)';... '*.json','JSON file (*.json)';'*.*','All (*.*)'}; [file,path,idx] = uigetfile(filters); if isequal(file,0) return; else if(regexp(file,'\.[Oo][Ff][Ff]$')) [nodedata.node, nodedata.face]=readoff(fullfile(path,file)); elseif(regexp(file,'\.[Aa][Ss][Cc]$')) [nodedata.node, nodedata.face]=readasc(fullfile(path,file)); elseif(regexp(file,'\.[Gg][Tt][Ss]$')) [nodedata.node, nodedata.face]=readgts(fullfile(path,file)); elseif(regexp(file,'\.[Ss][Mm][Ff]$')) [nodedata.node, nodedata.face]=readsmf(fullfile(path,file)); elseif(regexp(file,'\.[Jj][Mm][Ee][Ss][Hh]$')) nodedata=importjmesh(fullfile(path,file)); elseif(regexp(file,'\.[Jj][Ss][Oo][Nn]$')) nodedata=loadjson(fullfile(path,file)); end end if(exist('nodedata','var')) adddatatograph(handles,nodedata); else warndlg('no valid mesh data found','Warning'); end % -------------------------------------------------------------------- function nodedata=importjmesh(filename) data=loadjson(filename); nodedata=struct; if(isfield(data,'MeshNode')) nodedata.node=data.MeshNode; end if(isfield(data,'MeshElem')) nodedata.elem=data.MeshElem; end if(isfield(data,'MeshSurf')) nodedata.face=data.MeshSurf; end if(isfield(data,'MeshNodeVal')) nodedata.node(:,end+1:end+size(data.MeshNodeVal,2))=data.MeshNodeVal; end if(isfield(data,'MeshTetraVal')) nodedata.elem(:,end+1:end+size(data.MeshTetraVal,2))=data.MeshTetraVal; end % -------------------------------------------------------------------- function adddatatograph(handles,nodedata) nodetype=getnodetype(nodedata); if(nodetype.haselem) addnodewithdata(handles,nodedata,nodetype,'Tet'); elseif(nodetype.hasface) addnodewithdata(handles,nodedata,nodetype,'Surf'); elseif(nodetype.hasnode) addnodewithdata(handles,nodedata,nodetype,'Point'); elseif(nodetype.hasvol) addnodewithdata(handles,nodedata,nodetype,'Vol'); end % --- Executes during object creation, after setting all properties. function axFlow_CreateFcn(hObject, eventdata, handles) % hObject handle to axFlow (see GCBO) % eventdata reserved - to be defined in a future version of MATLAB % handles empty - handles not created until after all CreateFcns called % Hint: place code in OpeningFcn to populate axFlow % --- Executes during object creation, after setting all properties. function fgI2M_CreateFcn(hObject, eventdata, handles) % hObject handle to fgI2M (see GCBO) % eventdata reserved - to be defined in a future version of MATLAB % handles empty - handles not created until after all CreateFcns called %-------------------------------------------------------------------- function nodetype=getnodetype(nodedata) nodetype=dummytype; if(~isstruct(nodedata)) return; end names=fieldnames(nodedata); for i=1:length(names) switch names{i} case 'node' nodetype.hasnode=1; case 'face' nodetype.hasface=1; case 'elem' nodetype.haselem=1; case 'vol' nodetype.hasvol=1; end dat=nodedata.(names{i}); if((isnumeric(dat) || islogical(dat)) && ndims(dat)==3) nodetype.hasvol=1; end end % -------------------------------------------------------------------- function [key,newgraph]=addnodewithdata(handles,nodedata,nodetype,name) root=get(handles.fgI2M,'userdata'); if(isempty(root)) root=struct('graph',digraph,'menu',uicontextmenu); end if(nargin<4) name='x'; end id=1; if(~isempty(root.graph.Nodes)) while(find(strcmp(root.graph.Nodes.Name,sprintf('%s%d',name,id)))) id=id+1; end end key=sprintf('%s%d',name,id); cla(handles.axPreview); cla(handles.axFlow); nodedata.preview=getpreview(nodedata,nodetype,[400,400]); nodeprop=table({key},{nodedata},{nodetype},'VariableNames',{'Name','Data','Type'}); root.graph=addnode(root.graph,nodeprop); if(nargout>1) newgraph=root.graph; end updategraph(root, handles); % -------------------------------------------------------------------- function hobj=updatepreview(root,obj,handles) cla(handles.axPreview); view(handles.axPreview,2) nx=obj.XData(:); ny=obj.YData(:); nn=length(nx); hold(handles.axPreview,'on'); dx=get(handles.axFlow,'xlim'); dy=get(handles.axFlow,'ylim'); wd=min([diff(dx) diff(dy)])/15; hobj=zeros(1,nn); set(handles.axPreview,'xlim',dx); set(handles.axPreview,'ylim',dy); dim=get(handles.axPreview,'dataaspectratio'); [wfig, hfig]=getwindowsize(handles.fgI2M); wfig=wfig*dim(2); hfig=hfig*dim(1); for i=1:nn if(isfield(root.graph.Nodes.Data{i},'preview')) hobj(i)=imagesc(nx(i)+[-2*wd 0], ny(i)+[-wd wd]*(wfig/hfig), imresize(root.graph.Nodes.Data{i}.preview,0.25), ... 'parent',handles.axPreview); end end set(hobj,'userdata',obj); set(hobj,'UIContextMenu',root.menu); set(handles.axPreview,'xlim',dx); set(handles.axPreview,'ylim',dy); axis(handles.axPreview,'off'); hold(handles.axPreview,'off'); % -------------------------------------------------------------------- function [width, height]=getwindowsize(fig) oldunits = get(fig, 'Units'); set(fig, 'Units', 'pixels'); figpos = get(fig, 'Position'); set(fig, 'Units', oldunits); width=figpos(3); height=figpos(4); function [hg,hobj]=updategraph(root, handles) set(handles.fgI2M,'userdata',root); hg=plot(root.graph,'parent',handles.axFlow,'ArrowSize',15); hobj=updatepreview(root,hg,handles); % set(hg,'Selected','on'); axis(handles.axFlow,'off'); set(handles.axFlow,'XColor','none') set(hg,'UIContextMenu',root.menu); % -------------------------------------------------------------------- function miEllipsoid_Callback(hObject, eventdata, handles) prompt = {'Center (1x3 vector):',... 'Radii (a scalar, or 1x3 or 1x5 vector):',... 'Max element volume (scalar, 0 - only create surface):',... 'Circle division:'}; title = 'Create an Ellipsoid Mesh'; dims = [1 1 1 1]; definput = {'[0 0 0]','[50 30 20]','3','30'}; res = inputdlg(prompt,title,dims,definput); if(isempty(res)) return; end newtype=dummytype; opt=str2num(res{3}); maxvol=str2num(res{4}); if(maxvol==0) [newdata.node,newdata.face]=meshanellip(eval(res{1}),eval(res{2}),opt); else [newdata.node,newdata.face,newdata.elem]=meshanellip(eval(res{1}),... eval(res{2}),opt, maxvol); newtype.haselem=1; end newtype.hasnode=1; newtype.hasface=1; if(exist('newdata','var') && exist('newtype','var')) newkey=addnodewithdata(handles,newdata,newtype,'Cyl'); end % -------------------------------------------------------------------- function miLattice_Callback(hObject, eventdata, handles) prompt = {'X-lattice range (a vector):',... 'Y-lattice range (a vector):',... 'Z-lattice range (a vector):',... 'Max element volume (scalar, 0 - only create surface):'}; title = 'Create Lattice Grid Mesh'; dims = [1 1 1 1]; definput = {'[1 100]','[1 50]','[1 10 30]','30'}; res = inputdlg(prompt,title,dims,definput); if(isempty(res)) return; end newtype=dummytype; maxvol=str2num(res{4}); if(maxvol==0) [newdata.node,newdata.face]=latticegrid(eval(res{1}),eval(res{2}),eval(res{3})); else [no,fc,c0]=latticegrid(eval(res{1}),eval(res{2}),eval(res{3})); [newdata.node,newdata.elem,newdata.face]=surf2mesh(no,fc,[],[],1,maxvol,c0); newtype.haselem=1; end newtype.hasnode=1; newtype.hasface=1; if(exist('newdata','var') && exist('newtype','var')) newkey=addnodewithdata(handles,newdata,newtype,'Lattice'); end % -------------------------------------------------------------------- function miMeshgrid5_Callback(hObject, eventdata, handles) prompt = {'X-lattice range (a vector):',... 'Y-lattice range (a vector):',... 'Z-lattice range (a vector):'}; title = 'Create Meshgrid (5 tet/cell) Mesh'; dims = [1 1 1]; definput = {'1:10','1:8','1:5'}; res = inputdlg(prompt,title,dims,definput); if(isempty(res)) return; end newtype=dummytype; [newdata.node,newdata.elem]=meshgrid5(eval(res{1}),eval(res{2}),eval(res{3})); newdata.face=volface(newdata.elem); newtype.hasnode=1; newtype.hasface=1; newtype.haselem=1; if(exist('newdata','var') && exist('newtype','var')) newkey=addnodewithdata(handles,newdata,newtype,'Meshgrid5_'); end % -------------------------------------------------------------------- function miMeshgrid6_Callback(hObject, eventdata, handles) prompt = {'X-lattice range (a vector):',... 'Y-lattice range (a vector):',... 'Z-lattice range (a vector):'}; title = 'Create Meshgrid (6 tet/cell) Mesh'; dims = [1 1 1]; definput = {'1:10','1:8','1:5'}; res = inputdlg(prompt,title,dims,definput); if(isempty(res)) return; end newtype=dummytype; [newdata.node,newdata.elem]=meshgrid5(eval(res{1}),eval(res{2}),eval(res{3})); newdata.face=volface(newdata.elem); newtype.hasnode=1; newtype.hasface=1; newtype.haselem=1; if(exist('newdata','var') && exist('newtype','var')) newkey=addnodewithdata(handles,newdata,newtype,'Meshgrid6_'); end % -------------------------------------------------------------------- function miOpen_Callback(hObject, eventdata, handles) filter = {'*.mat';'*.*'}; root=get(handles.fgI2M,'userdata'); [file, path] = uigetfile(filter,'Load workspace'); if isequal(file,0) return; else data=load(fullfile(path,file)); end if(isfield(data,'i2mworkspace')) root.graph=data.i2mworkspace; updategraph(root,handles); else warndlg('no saved workspace found','Warning'); end % -------------------------------------------------------------------- function miSaveAll_Callback(hObject, eventdata, handles) root=get(handles.fgI2M,'userdata'); i2mworkspace=root.graph; filter = {'*.mat';'*.*'}; [file, path] = uiputfile(filter,'Save workspace'); if ~isequal(file,0) && ~isequal(path,0) save(fullfile(path,file),'i2mworkspace'); end % -------------------------------------------------------------------- function miLoadVar_Callback(hObject, eventdata, handles) nodedata=struct; [file,path] = uigetfile({'*.mat','MATLAB data (*.mat)'}); if isequal(file,0) return; else data=load(fullfile(path,file)); vars=fieldnames(data); [idx, isok]=listdlg('ListString',vars,... 'PromptString','Select a 3D array:'); if(~isok) return; end for i=1:length(idx) dat=data.(vars{idx(i)}); if(ndims(dat)==3 && ~isfield(nodedata,'vol')) nodedata.vol=dat; else nodedata.(vars{idx(i)})=dat; end end end adddatatograph(handles,nodedata); % -------------------------------------------------------------------- function miExit_Callback(hObject, eventdata, handles) close(handles.fgI2M); % -------------------------------------------------------------------- function miRefresh_Callback(hObject, eventdata, handles) root=get(handles.fgI2M,'userdata'); updategraph(root, handles); octave-iso2mesh-1.9.6+ds/raysurf.m0000644001356000007640000000402013724766530015777 0ustar fangqadminfunction [t,u,v,idx,xnode]=raysurf(p0,v0,node,face) % % [t,u,v,idx,xnode]=raysurf(p,v,node,face) % % perform a Havel-styled ray tracing for a triangular surface % % author: Qianqian Fang, % % input: % p0: list of starting points of the rays % v0: directional vector of the rays, % node: a list of node coordinates (nn x 3) % face: a surface mesh triangle list (ne x 3) % % output: % t: distance from p0 to the intersection point for each surface % triangle, if t(i)=NaN, no intersection was found for that ray % u: bary-centric coordinate 1 of all intersection points % v: bary-centric coordinate 2 of all intersection points % the final bary-centric triplet is [u,v,1-u-v] % idx: idx lists the IDs of the face elements that intersects % each ray % xnode: optional output, if requested, xnode gives the intersection % point coordinates; to compute manually, xnode=p0+repmat(t,1,3).*v0 % % Reference: % [1] J. Havel and A. Herout, "Yet faster ray-triangle intersection (using % SSE4)," IEEE Trans. on Visualization and Computer Graphics, % 16(3):434-438 (2010) % [2] Q. Fang, "Comment on 'A study on tetrahedron-based inhomogeneous % Monte-Carlo optical simulation'," Biomed. Opt. Express, (in % press) % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % len=size(p0,1); if(len==0) error('p0 can not be empty'); end if(size(node,2)<3) error('node must contain at least 3 columns'); end if(size(face,2)<3) error('face must contain at least 3 columns'); end if(size(v0,1)==1 || size(v0,2)==1 && len>1) v0=repmat(v0(:)',len,1); end t=zeros(len,1)*nan; u=t; v=t; idx=t; for i=1:len [ti,ui,vi,id]=raytrace(p0(i,:),v0(i,:),node,face); if(isempty(id)) continue; end ti=ti(id); tpid=find(ti>=0); if(isempty(tpid)) continue; end [tmin,tloc]=min(ti(find(ti>=0))); t(i)=tmin; u(i)=ui(id(tpid(tloc))); v(i)=vi(id(tpid(tloc))); idx(i)=id(tpid(tloc)); end if(nargout>=5) xnode=p0+repmat(t,1,3).*v0; end octave-iso2mesh-1.9.6+ds/highordertet.m0000644001356000007640000000220413724766530016776 0ustar fangqadminfunction [newnode,newelem]=highordertet(node,elem,order) % % [newnode,newelem]=highordertet(node,elem) % % generate high-order straight-edge tetrahedral mesh from % the 1st order tetrahedral mesh % % author: Qianqian Fang, % % input: % node: list of nodes % elem: list of elements (each row are indices of nodes of each element) % order: optional, the order of the generated mesh; if missing, order=2 % % output: % newnode: all new edge-nodes on the output mesh % newelem: the indices of the edge nodes for each original tet element % % currently, this function only supports order=2 % to combine the newnode/newelem with the old mesh, one should use % % elemfull=[elem(:,1:4) newelem+size(node,1)]; % 10-node element % nodefull=[node;newnode]; % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % if(nargin<3) order=2; end if(order>=3 || order<=1) error('currently this function only supports order=2'); end [edges,idx,newelem]=uniqedges(elem(:,1:4)); newnode=node(edges',1:3); newnode=reshape(newnode',[3,2,size(edges,1)]); newnode=squeeze(mean(permute(newnode,[3 2 1]),2)); octave-iso2mesh-1.9.6+ds/neighborelem.m0000644001356000007640000000154613724766530016756 0ustar fangqadminfunction [conn,connnum,count]=neighborelem(elem,nn); % % [conn,connnum,count]=neighborelem(elem,nn) % % create node neighbor list from a mesh % % author: Qianqian Fang, % date: 2007/11/21 % % input: % elem: element table of a mesh % nn : total node number of the mesh % % output: % conn: output, a cell structure of length nn, conn{n} % contains a list of all neighboring elem ID for node n % connnum: vector of length nn, denotes the neighbor number of each node % count: total neighbor numbers % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % conn=cell(nn,1); dim=size(elem); for i=1:dim(1) for j=1:dim(2) conn{elem(i,j)}=[conn{elem(i,j)},i]; end end count=0; connnum=zeros(1,nn); for i=1:nn conn{i}=sort(conn{i}); connnum(i)=length(conn{i}); count=count+connnum(i); end octave-iso2mesh-1.9.6+ds/memmapstream.m0000644001356000007640000000477313724766530017013 0ustar fangqadminfunction outstruct=memmapstream(bytes, format) % % outstruct=memmapstream(bytes, format) % % Map a byte-array (in char array or uint8/int8 array) into a structure % using a dictionary (format is compatible with memmapfile in MATLAB) % % This function is compatible with both MATLAB and GNU Octave. % % author: Qianqian Fang (q.fang neu.edu) % % input: % bytes: a char, int8 or uint8 vector or array % format: a 3-column cell array in the format compatible with the % 'Format' parameter of memmapfile in MATLAB. It has the % following structure % % column 1: data type string, it can be one of the following % 'int8','int16','int32','int64', % 'uint8','uint16','uint32','uint64', % 'single','double','logical' % column 2: an integer vector denoting the size of the data % column 3: a string denoting the fieldname in the output struct % % For example format={'int8',[1,8],'key'; 'float',[1,1],'value'} % reads the first 8 bytes from 'bytes' as the first subfield % 'key' and the following 4 bytes as the floating point 'value' % subfield. % % output: % outstruct: a structure containing the required field % % example: % bytestream=['Andy' 5 'JT']; % format={'uint8', [1,4], 'name', % 'uint8', [1,1], 'age', % 'uint8', [1,2], 'school'}; % data=memmapstream(bytestream,format); % % this file is part of JNIfTI specification: https://github.com/fangq/jnifti % % License: Apache 2.0, see https://github.com/fangq/jnifti for details % if(nargin<2) error('must provide bytes and format as inputs'); end if(~ischar(bytes) && ~isa(bytes,'int8') && ~isa(bytes,'uint8') || isempty(bytes)) error('first input, bytes, must be a char-array or uint8/int8 vector'); end if(~iscell(format) || size(format,2)<3 || size(format,1)==0 || ~ischar(format{1,1})) error('second input, format, must be a 3-column cell array, in a format described by the memmapfile Format field.'); end bytes=bytes(:)'; datatype=struct('int8',1,'int16',2,'int32',4,'int64',8,'uint8',1,'uint16',2,'uint32',4,'uint64',8,'single',4,'double',8); outstruct=struct(); len=1; for i=1:size(format,1) bytelen=datatype.(format{i,1})*prod(format{i,2}); outstruct.(format{i,3})=reshape(typecast(uint8(bytes(len:bytelen+len-1)),format{i,1}),format{i,2}); len=len+bytelen; if(len>length(bytes)) break; end endoctave-iso2mesh-1.9.6+ds/gendocs.sh0000755001356000007640000001120713724766530016114 0ustar fangqadmin#!/bin/sh #============================================================ # iso2mesh inline documentation to wiki convertor # # Author: Qianqian Fang #============================================================ printhelp=$1 if [ "$#" -ge 1 ]; then echo "iso2mesh >> Iso2Mesh" fi print_help() { if [ -z "$printhelp" ]; then awk '/^%/ {dp=1} /-- this function is part of iso2mesh/ {exit} \ / this function is part of / {exit} \ / this file is part of / {exit} \ /^function/ {dp=1} /./ {if(dp==1) print;}' $1 \ | grep -v 'Qianqian' | grep -v 'date:' | #grep -v '^%\s*$'| \ sed -e 's/^%//g' -e 's/^function\(.*$\)/\n==== function\1 ====/g' else echo " $1" | sed -e 's/\.m$//g' fi } print_group() { for fun in $@ do print_help $fun.m done } print_title () { if [ -z "$printhelp" ]; then echo "=== # $@ ===" else echo $@ fi } func_shortcut="v2m v2s s2m s2v m2v sms i2m" func_mainfun="vol2mesh vol2surf surf2mesh surf2vol mesh2vol img2mesh" func_backend="binsurface cgalv2m cgals2m vol2restrictedtri surf2volz mesh2mask" func_primitive="meshabox meshasphere meshanellip meshunitsphere meshacylinder meshgrid5 meshgrid6 latticegrid extrudecurve meshcylinders" func_inquery="finddisconnsurf surfedge volface extractloops meshconn meshcentroid nodevolume elemvolume neighborelem layersurf faceneighbors edgeneighbors maxsurf flatsegment orderloopedge mesheuler bbxflatsegment surfplane surfinterior surfpart surfseeds meshquality meshedge meshface surfacenorm nodesurfnorm uniqedges uniqfaces advancefront innersurf outersurf surfvolume insurface" func_meshfix="meshcheckrepair meshreorient removedupelem removedupnodes removeisolatednode removeisolatedsurf surfaceclean getintersecttri delendelem surfreorient" func_metch="proj2mesh dist2surf regpt2surf affinemap metchgui metchgui_one" func_remesh="meshresample remeshsurf smoothsurf sortmesh mergemesh meshrefine mergesurf surfboolean fillsurf highordertet elemfacecenter barydualmesh meshinterp meshremap extrudesurf" func_polyline="slicesurf slicesurf3 polylinelen polylinesimplify polylineinterp closestnode" func_fileio="saveasc savedxf savestl savebinstl saveinr saveoff savesmf savesurfpoly savegts readgts savemsh savevrml readasc readinr readmedit readoff readsmf readtetgen deletemeshfile mcpath mwpath savemedit savejson loadjson saveubjson loadubjson loadmsgpack savemsgpack savebj loadbj savemphtxt savetetgenele savetetgennode saveabaqus savenirfast readnirfast readnifti readmptiff" func_jdata="savejmesh loadjnifti savejnifti loadnifti savenifti jdataencode jdatadecode jload jsave decodevarname encodevarname jnifticreate nifticreate nii2jnii jnii2nii niicodemap niiformat savebnii savejnii" func_compression="zlibencode zlibdecode gzipencode gzipdecode lzmaencode lzmadecode lzipencode lzipdecode lz4encode lz4decode lz4hcencode lz4hcdecode base64decode base64encode" func_binimage="bwislands fillholes3d deislands2d deislands3d ndgaussian ndimfilter imedge3d internalpoint smoothbinvol thickenbinvol thinbinvol maskdist" func_plotting="plotmesh plotsurf plottetra plotedges qmeshcut" func_misc="surfdiffuse volmap2mesh isoctavemesh getvarfrom raytrace linextriangle getplanefrom3pt getexeext fallbackexeext iso2meshver raysurf getoptkey rotatevec3d rotmat2vec varargin2struct jsonopt mergestruct orthdisk nestbracket2dim fast_match_bracket match_bracket memmapstream" print_title Streamlined mesh generation - shortcuts print_group $func_shortcut print_title Streamlined mesh generation print_group $func_mainfun print_title Iso2mesh main function backend print_group $func_backend print_title Iso2mesh primitive meshing functions print_group $func_primitive print_title Mesh decomposition and query print_group $func_inquery print_title Mesh processing and reparing print_group $func_meshfix print_title Mesh registration - Metch Toolbox print_group $func_metch print_title Polyline handling print_group $func_polyline print_title Mesh resampling and optimization print_group $func_remesh print_title File I/O print_group $func_fileio print_title JData functions print_group $func_jdata print_title Data compression print_group $func_compression print_title Volumetric image pre-processing print_group $func_binimage print_title Mesh plotting print_group $func_plotting print_title Miscellaneous functions print_group $func_misc octave-iso2mesh-1.9.6+ds/jnifticreate.m0000644001356000007640000000650513724766530016765 0ustar fangqadminfunction jnii=jnifticreate(varargin) % % jnii=jnifticreate % or % jnii=jnifticreate('header1', value1, 'header2', value2, ...) % jnii=jnifticreate(img, 'header1', value1, ...) % % Create a default JNIfTI structure with default header and image volume % % author: Qianqian Fang (q.fang neu.edu) % % input: % img: set the jnii.NIFTIData section % 'header_i': the header subfield name defined in the JNIfTI % specification, see https://github.com/fangq/jnifti % value_i: set the value for the specified JNIfTI header field % % output: % jnii: without any input, jnii gives the default jnii header % if img is given, jnii also includes the NIFTIData field % % % this file is part of JNIfTI specification: https://github.com/fangq/jnifti % % License: Apache 2.0, see https://github.com/fangq/jnifti for details % jnii=struct('NIFTIHeader',struct(), 'NIFTIData', []); % jnii.NIFTIHeader.NIIHeaderSize= 0; % jnii.NIFTIHeader.A75DataTypeName= 'uint8'; % jnii.NIFTIHeader.A75DBName= ''; % jnii.NIFTIHeader.A75Extends= 0; % jnii.NIFTIHeader.A75SessionError=''; % jnii.NIFTIHeader.A75Regular= 0; jnii.NIFTIHeader.DimInfo.Freq= 0; jnii.NIFTIHeader.DimInfo.Phase= 0; jnii.NIFTIHeader.DimInfo.Slice= 0; jnii.NIFTIHeader.Dim= []; jnii.NIFTIHeader.Param1= 0; jnii.NIFTIHeader.Param2= 0; jnii.NIFTIHeader.Param3= 0; jnii.NIFTIHeader.Intent= ''; jnii.NIFTIHeader.DataType= 'uint8'; jnii.NIFTIHeader.BitDepth= 8; jnii.NIFTIHeader.FirstSliceID= 1; jnii.NIFTIHeader.VoxelSize= [1,1,1,1]; jnii.NIFTIHeader.Orientation= struct('x','r','y','a','z','s'); % jnii.NIFTIHeader.NIIByteOffset= 0; jnii.NIFTIHeader.ScaleSlope= 0; jnii.NIFTIHeader.ScaleOffset= 0; jnii.NIFTIHeader.LastSliceID= 1; jnii.NIFTIHeader.SliceType= ''; jnii.NIFTIHeader.Unit= struct('L','mm','T', 's'); jnii.NIFTIHeader.MaxIntensity= 255; jnii.NIFTIHeader.MinIntensity= 0; jnii.NIFTIHeader.SliceTime= 1; jnii.NIFTIHeader.TimeOffset= 0; % jnii.NIFTIHeader.A75GlobalMax= 255; % jnii.NIFTIHeader.A75GlobalMin= 0; jnii.NIFTIHeader.Description= ''; % jnii.NIFTIHeader.AuxFile= ''; jnii.NIFTIHeader.QForm= 0; jnii.NIFTIHeader.SForm= 1; jnii.NIFTIHeader.Quatern.b= 0; jnii.NIFTIHeader.Quatern.c= 0; jnii.NIFTIHeader.Quatern.d= 0; jnii.NIFTIHeader.QuaternOffset.x=0; jnii.NIFTIHeader.QuaternOffset.y=0; jnii.NIFTIHeader.QuaternOffset.z=0; jnii.NIFTIHeader.Affine(1,:)= [1 0 0 0]; jnii.NIFTIHeader.Affine(2,:)= [0 1 0 0]; jnii.NIFTIHeader.Affine(3,:)= [0 0 1 0]; jnii.NIFTIHeader.Name= 'default'; jnii.NIFTIHeader.NIIFormat= 'jnifti'; % jnii.NIFTIHeader.NIIExtender= [0,0,0,0]; if(nargin==0) return; end img=[]; pid=1; if(~ischar(varargin{1})) img=varargin{1}; pid=2; end if(~isempty(varargin)) for i=pid:2:length(varargin) jnii.NIFTIHeader.(varargin{i})=varargin{i+1}; end end if(~isnumeric(img) && ~islogical(img)) error('img input must be a numerical or logical array'); end jnii.NIFTIHeader.Dim=size(img); jnii.NIFTIHeader.DataType=class(img); info=whos('img'); jnii.NIFTIHeader.BitDepth=info.bytes/numel(img)*8; jnii.NIFTIHeader.MinIntensity=min(img(:)); jnii.NIFTIHeader.MaxIntensity=max(img(:)); jnii.NIFTIData=img; octave-iso2mesh-1.9.6+ds/plotedges.m0000644001356000007640000000425113724766530016300 0ustar fangqadminfunction hh=plotedges(node,edges,varargin) % % hm=plotedges(node,edges,opt) % or % hm=plotedges(node,loops,opt) % % plot a 3D polyline or close loop (1d manifold) % % author: Qianqian Fang % % input: % node: node coordinates, dimension (nn,3); if node has a % 4th column, it will be used to set the color at each node. % edges:edge list: a 2-column index array, with each row being % an edge connecting the two indexed node % loops:loops is an NaN separated integer array, with each segment % denoting a 3D polyline or loop represented by a list of node % indices % opt: additional options for the plotting, see plotmesh % % output: % hm: handle or handles (vector) to the plotted surfaces % % example: % % h=plotedges(node,[1 2 3 4 5 nan 6 7 8 9]); % h=plotedges(node,edges,'marker','o','linewidth',2,'color','r'); % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % edlen=size(edges,1); hh=[]; if(isempty(edges)) return; end rngstate = rand ('state'); if(size(edges,1)==1 || size(edges,2)==1) % a loop: single column/row edges randseed=hex2dec('623F9A9E'); % "U+623F U+9A9E" if(isoctavemesh) randseed=randseed+3; end if(~isempty(getvarfrom({'caller','base'},'ISO2MESH_RANDSEED'))) randseed=getvarfrom({'caller','base'},'ISO2MESH_RANDSEED'); end rand('state',randseed); loops=edges(:)'; if(~isnan(loops(end))) loops(end+1)=nan; end seg=find(isnan(loops)); seglen=length(seg); seghead=1; for i=1:seglen h=plotmesh(node(loops(seghead:seg(i)-1),:), 'color',rand(3,1), varargin{:}); hh=[hh h]; seghead=seg(i)+1; end else % an edge list if(size(node,2)==2) % 2D polyline for i=1:edlen h = line([node(edges(i,1),1) node(edges(i,2),1)],[node(edges(i,1),2) node(edges(i,2),2)], varargin{:}); hh=[hh,h]; end else % 3D polyline for i=1:edlen h = line([node(edges(i,1),1) node(edges(i,2),1)],[node(edges(i,1),2) ... node(edges(i,2),2)],[node(edges(i,1),3) node(edges(i,2),3)], varargin{:}); hh=[hh,h]; end end end rand ('state',rngstate); octave-iso2mesh-1.9.6+ds/savegts.m0000644001356000007640000000162213724766530015765 0ustar fangqadminfunction nedge=savegts(v,f,fname,edges) % % nedge=savegts(v,f,fname,edges) % % save a surface mesh to GNU Triangulated Surface Format (GTS) % % author: Qianqian Fang, % date: 2011/02/23 % % input: % v: input, surface node list, dimension (nn,3) % f: input, surface face element list, dimension (be,3) % fname: output file name % edges: edge list, if ignored, savegts will compute % % output: % nedge: the number of unique edges in the mesh % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % fid=fopen(fname,'wt'); if(fid==-1) error('You do not have permission to save mesh files.'); end v=v(:,1:3); f=f(:,1:3); [edges,idx,edgemap]=uniqedges(f); nedge=size(edges,1); fprintf(fid,'%d %d %d\n',size(v,1),nedge,size(f,1)); fprintf(fid,'%.16f %.16f %.16f\n',v'); fprintf(fid,'%d %d\n',edges'); fprintf(fid,'%d %d %d\n',edgemap'); fclose(fid); octave-iso2mesh-1.9.6+ds/mergestruct.m0000644001356000007640000000136213724766530016656 0ustar fangqadminfunction s=mergestruct(s1,s2) % % s=mergestruct(s1,s2) % % merge two struct objects into one % % authors:Qianqian Fang (q.fang neu.edu) % date: 2012/12/22 % % input: % s1,s2: a struct object, s1 and s2 can not be arrays % % output: % s: the merged struct object. fields in s1 and s2 will be combined in s. % % license: % BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details % % -- this function is part of JSONLab toolbox (http://iso2mesh.sf.net/cgi-bin/index.cgi?jsonlab) % if(~isstruct(s1) || ~isstruct(s2)) error('input parameters contain non-struct'); end if(length(s1)>1 || length(s2)>1) error('can not merge struct arrays'); end fn=fieldnames(s2); s=s1; for i=1:length(fn) s.(fn{i})=s2.(fn{i}); end octave-iso2mesh-1.9.6+ds/plottetra.m0000644001356000007640000000422613724766530016332 0ustar fangqadminfunction hm=plottetra(node,elem,varargin) % % hm=plottetra(node,elem,opt) % % plot 3D surface meshes % % author: Qianqian Fang % % input: % node: a node coordinate list, 3 columns for x/y/z; if node has a % 4th column, it will be used to set the color at each node. % elem: a tetrahedral element list; if elem has a 5th column, % and the 5th column are all integers, it will be treated % as labels of sub-domains and display them in different colors. % if the 5th column contains non-integer values, it will be % used to map to the color of triangles. % opt: additional options for a patch object, see plotmesh % % output: % hm: handle or handles (vector) to the plotted surfaces % % example: % % h=plottetra(node,elem); % h=plottetra(node,elem,'facealpha',0.5); % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % rngstate = rand ('state'); randseed=hex2dec('623F9A9E'); % "U+623F U+9A9E" if(isoctavemesh) randseed=randseed+3; end if(~isempty(getvarfrom({'caller','base'},'ISO2MESH_RANDSEED'))) randseed=getvarfrom({'caller','base'},'ISO2MESH_RANDSEED'); end rand('state',randseed); if(~iscell(elem)) if(size(elem,2)>4) tag=elem(:,5); types=unique(tag); hold on; h=[]; if(all(isinteger(tag))) for i=1:length(types) idx=find(tag==types(i)); face=volface(elem(idx,1:4)); if(size(node,2)==3) h=[h plotsurf(node,face,'facecolor',rand(3,1),varargin{:})]; else h=[h plotsurf(node,face,varargin{:})]; end end else [face,eid]=volface(elem(:,1:4)); if(size(elem,2)>=5) h=[h plotsurf(node,face,'FaceVertexCData',tag(eid), varargin{:})]; else h=[h plotsurf(node,face,varargin{:})]; end end else face=volface(elem(:,1:4)); h=plotsurf(node,face,varargin{:}); end end if(~isempty(h)) axis equal; end if(~isempty(h) && nargout>=1) hm=h; end rand ('state',rngstate); octave-iso2mesh-1.9.6+ds/mergesurf.m0000644001356000007640000000224713724766530016314 0ustar fangqadminfunction [newnode,newelem]=mergesurf(node,elem,varargin) % % [newnode,newelem]=mergesurf(node1,elem1,node2,elem2,...) % % merge two or more triangular meshes and split intersecting elements % % author: Qianqian Fang % % input: % node: node coordinates, dimension (nn,3) % elem: tetrahedral element or triangle surface (nn,3) % % output: % newnode: the node coordinates after merging, dimension (nn,3) % newelem: tetrahedral element or surfaces after merging (nn,4) or (nhn,5) % % note: you can call meshcheckrepair for the output newnode and % newelem to remove the duplicated nodes or elements % % example: % % [node1,face1,elem1]=meshabox([0 0 0],[10 10 10],1,1); % [node2,face2,elem2]=meshasphere([5 5 10],3,0.3,3); % [newnode,newface]=mergesurf(node1,face1,node2,face2); % plotmesh(newnode,newface,'x>5'); % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % len=length(varargin); newnode=node; newelem=elem; if(len>0 && mod(len,2)~=0) error('you must give node and element in pairs'); end for i=1:2:len no=varargin{i}; el=varargin{i+1}; [newnode,newelem]=surfboolean(newnode,newelem,'all',no,el); end octave-iso2mesh-1.9.6+ds/thinbinvol.m0000644001356000007640000000216413724766530016467 0ustar fangqadminfunction vol=thinbinvol(vol,layer,nobd) % % vol=thinbinvol(vol,layer,nobd) % % thinning a binary volume by a given pixel width % this is similar to bwmorph(vol,'thin',n) except % this does it in 3d and only run thinning for % non-zero elements (and hopefully faster) % % author: Qianqian Fang, % % input: % vol: a volumetric binary image % layer: number of iterations for the thickenining % nobd: (optional) if set to 1, boundaries will not % erode. if not given, nobd=0. % % output: % vol: the volume image after the thinning operations % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % dim=size(vol); 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OKDkŠ.Qn맼ɒ<3[iZ?'s\T^[>3}TrfzA-@ޟ/FvDKKkzXR|ī{~Fy- vy}?Ǻ0oWL?{'Wf=e"m6lϽx7Dn>^\7{!z|CJ9qTnAn kγMXn@IPZDIr@QHESdve;ygEB⌔S-p&zڸp*4govwvftS][= SC>BT>UCh &2uOޓJ#@ab ml!^sz;֏{~Pa+f"lZ u#6FUC foy q 5B<&̣Alu!Q qt $Ǣ7h~WMO@v CF#1#~`H(*{a ̖i;mk];$r@Cb!1Dxqv`.@'yy}yߙ 8+- |o_j{K̯[ @eċijGZWW$Z2KU+%75|w(S'0M7_h9;um!S=H;vyu񪿿[o\]:XqX~ޛz?w{SLR+9(=`Wz..Lgo + 8n]jTY+ 9@2sB]Db bcPad2Jf 2}6N˰|%;h2scuLCuzlsk?s\4 G uZlk,?m\:?Yo^wޟ?A3.VIAThjw%bCIv%u/+abu%Ӗ;r t\RoиZ3 sMtYW!}A>z_,?WGH#};Q@7 8\/~K9s%/ r_octave-iso2mesh-1.9.6+ds/.gitmodules0000644001356000007640000000041013724766530016302 0ustar fangqadmin[submodule "tools/cork"] path = tools/cork url = https://github.com/fangq/cork.git [submodule "tools/meshfix"] path = tools/meshfix url = https://github.com/fangq/meshfix.git [submodule "tools/tetgen"] path = tools/tetgen url = https://github.com/ufz/tetgen octave-iso2mesh-1.9.6+ds/linextriangle.m0000644001356000007640000000355413724766530017164 0ustar fangqadminfunction [isinside,pt,coord]=linextriangle(p0,p1,plane) % [isinside,pt,coord]=linextriangle(p0,p1,plane) % % calculate the intersection of a 3d line (passing two points) % with a plane (determined by 3 points) % % author: Qianqian Fang % date: 12/12/2008 % % parameters: % p0: a 3d point in form of (x,y,z) % p1: another 3d point in form of (x,y,z), p0 and p1 determins the line % plane: a 3x3 matrix, each row is a 3d point in form of (x,y,z) % this is used to define a plane % outputs: % isinside: a boolean variable, 1 for the intersection is within the % 3d triangle determined by the 3 points in plane; 0 is outside % pt: the coordinates of the intersection pint % coord: 1x3 vector, if isinside=1, coord will record the barycentric % coordinate for the intersection point within the triangle; % otherwise it will be all zeros. % % for degenerated lines or triangles, this will stop % % Please find more information at http://iso2mesh.sf.net/cgi-bin/index.cgi?metch % % this function is part of "metch" toobox, see COPYING for license [a,b,c,d]=getplanefrom3pt(plane); if(a*a+b*b+c*c==0.0) error('degenerated plane'); end dl_n=sum([a b c].*(p1-p0)); if(dl_n==0.0) error('degenerated line'); end % solve for the intersection point t=-(a*p0(1)+b*p0(2)+c*p0(3)+d)/dl_n; pt=p0+(p1-p0)*t; dist=sum(abs(diff(plane))); [md,imax]=sort(dist); if(md(2)==0.0) error('degenerated triangle'); end goodidx=imax(2:end); ptproj=pt(goodidx); mat0=[plane(:,goodidx)',ptproj';1 1 1 1]; isinside=0; coord=[0 0 0]; det1=det(mat0(:,[4 2 3],:)); det2=det(mat0(:,[1 4 3],:)); if(det1*det2<0) return; end det3=det(mat0(:,[1 2 4],:)); if(det2*det3<0) return; end if(det1*det3<0) return; end isinside=1; det0=det(mat0(:,1:3)); coord=[det1 det2 det3]/det0; octave-iso2mesh-1.9.6+ds/niicodemap.m0000644001356000007640000000645213724766530016427 0ustar fangqadminfunction newval=niicodemap(name, value) % % newval=niicodemap(name, value) % % Bi-directional conversion from NIFTI codes to human-readable JNIfTI % header string values % % author: Qianqian Fang (q.fang neu.edu) % % input: % name: a header name as a string, currently support the below nii % headers: 'intent_code', 'slice_code', 'datatype', 'qform', % 'sform' and 'xyzt_units' and their corresponding JNIfTI % headers: % 'Intent','SliceType','DataType','QForm','SForm','Unit' % value:the current header value, if it is a code, newval will % output the string version; if it is a string, newval will % return the code % % output: % newval: the converted header value % % For the detailed nii header codes, please see % https://nifti.nimh.nih.gov/pub/dist/src/niftilib/nifti1.h % % example: % newval=niicodemap('slice_code', '') % newval=niicodemap('datatype', 'uint64') % newval=niicodemap('datatype', 2) % % this file was initially developed for the MCX project: https://github.com/fangq/mcx/blob/master/utils/mcxloadnii.m % % this file is part of JNIfTI specification: https://github.com/fangq/jnifti % % License: Apache 2.0, see https://github.com/fangq/jnifti for details % % code to name look-up-table if(~exist('containers.Map')) newval=value; return; end lut.intent_code=containers.Map([0,2:24 1001:1011 2001:2005], ... {'', 'corr', 'ttest', 'ftest', 'zscore', 'chi2', 'beta', ... 'binomial', 'gamma', 'poisson', 'normal', 'ncftest', ... 'ncchi2', 'logistic', 'laplace', 'uniform', 'ncttest', ... 'weibull', 'chi', 'invgauss', 'extval', 'pvalue', ... 'logpvalue', 'log10pvalue', 'estimate', 'label', 'neuronames', ... 'matrix', 'symmatrix', 'dispvec', 'vector', 'point', 'triangle', ... 'quaternion', 'unitless', 'tseries', 'elem', 'rgb', 'rgba', 'shape'}); lut.slice_code=containers.Map(0:6,{'','seq+','seq-','alt+','alt-','alt2+','alt-'}); lut.datatype=containers.Map([0,2,4,8,16,32,64,128,256,512,768,1024,1280,1536,1792,2048,2304],... {'','uint8','int16','int32','single','complex64','double','rgb24','int8',... 'uint16','uint32','int64','uint64','double128','complex128',... 'complex256','rgba32' }); lut.xyzt_units=containers.Map([0:3 8 16 24 32 40 48],... {'','m','mm','um','s','ms','us','hz','ppm','rad'}); lut.qform=containers.Map(0:4, {'','scanner','aligned','talairach','mni'}); lut.unit=lut.xyzt_units; lut.sform=lut.qform; lut.slicetype=lut.slice_code; lut.intent=lut.intent_code; % inverse look up table tul.intent_code=containers.Map(values(lut.intent_code), keys(lut.intent_code)); tul.slice_code=containers.Map(values(lut.slice_code), keys(lut.slice_code)); tul.datatype=containers.Map(values(lut.datatype), keys(lut.datatype)); tul.xyzt_units=containers.Map(values(lut.xyzt_units), keys(lut.xyzt_units)); tul.qform=containers.Map(values(lut.qform), keys(lut.qform)); tul.sform=tul.qform; tul.slicetype=tul.slice_code; tul.intent=tul.intent_code; tul.unit=tul.xyzt_units; % map from code to name, or frmo name to code if(~isfield(lut,lower(name))) error('property can not be found'); end if(~(ischar(value) || isa(value,'string'))) newval=lut.(lower(name))(value); else newval=tul.(lower(name))(value); endoctave-iso2mesh-1.9.6+ds/savesmf.m0000644001356000007640000000076113724766530015760 0ustar fangqadminfunction savesmf(v,f,fname) % % savesmf(v,f,fname) % % save a surface mesh to smf format % % author: Qianqian Fang, % date: 2007/11/21 % % input: % v: input, surface node list, dimension (nn,3) % f: input, surface face element list, dimension (be,3) % fname: output file name % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % fid=fopen(fname,'wt'); fprintf(fid,'v %.16f %.16f %.16f\n',v'); fprintf(fid,'f %d %d %d\n',f'); fclose(fid); octave-iso2mesh-1.9.6+ds/v2s.m0000644001356000007640000000201313724766530015016 0ustar fangqadminfunction [no,el,regions,holes]=v2s(img,isovalues,opt,method) % % [no,el,regions,holes]=v2s(img,isovalues,opt,method) % % surface mesh generation from binary or gray-scale volumetric images % shortcut for vol2surf % % author: Qianqian Fang (q.fang at neu.edu) % % inputs and outputs are similar to those defined in vol2surf; In v2s, % method can be set to 'cgalmesh' in addition to those allowed by vol2surf. % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % if(nargin==3) method='cgalsurf'; end if(strcmp(method,'cgalmesh')) [no,tet,el]=v2m(uint8(img),isovalues,opt,1000,method); regions=[]; fclist=unique(el(:,4)); len=length(fclist); for i=1:len pt=surfinterior(no(:,1:3),el(find(el(:,4)==fclist(i)),1:3)); if(~isempty(pt)) regions=[regions;pt]; end end el=unique(el(:,1:3),'rows'); [no,el]=removeisolatednode(no(:,1:3),el(:,1:3)); holes=[]; return; end [no,el,regions,holes]=vol2surf(img,1:size(img,1),1:size(img,2),1:size(img,3),opt,1,method,isovalues); octave-iso2mesh-1.9.6+ds/advancefront.m0000644001356000007640000000261413724766530016765 0ustar fangqadminfunction [elist,nextfront]=advancefront(edges,loop,elen) % % [elist,nextfront]=advancefront(edges,loop,elen) % % advance an edge-front on an oriented surface to the next separated by % one-element width % % author: Qianqian Fang, % date: 2012/02/09 % % input: % edges: edge list of an oriented surface mesh, must be in CCW order % loop: a 2-column array, specifying a closed loop in CCW order % elen: node number inside each element, if ignored, elen is set to 3 % % output: % elist: list of triangles that is enclosed between the two % edge-fronts % nextfront: a new edge loop list representing the next edge-front % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % elist=[]; nextfront=[]; if(nargin<3) elen=3; end [hasedge, loc]=ismember(loop,edges,'rows'); if(~all(hasedge)) error('loop edge is not defined in the mesh'); end nodenum=size(edges,1)/elen; elist=unique(mod(loc-1,nodenum))+1; nextfront=edges(elist,:); for i=1:elen-1 nextfront=[nextfront;edges(elist+nodenum*i,:)]; end nextfront=setdiff(nextfront,loop,'rows'); % remove reversed edge pairs [flag,loc]=ismember(nextfront,nextfront(:,[2 1]),'rows'); id=find(flag); if(~isempty(id)) delmark=flag; delmark(loc(find(loc>0)))=1; nextfront(find(delmark),:)=[]; end nextfront=nextfront(:,[2 1]); % reverse this loop, as it is reversed to the input loop octave-iso2mesh-1.9.6+ds/i2m.m0000644001356000007640000000056013724766530015000 0ustar fangqadminfunction varargout=i2m(varargin) % % newworkspace=i2m; % or % newworkspace=i2m(workspace) % % Shortcut for img2mesh, a GUI for iso2mesh % % author: Qianqian Fang (q.fang at neu.edu) % % input/output: please see details in the help for img2mesh % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % [varargout{1:nargout}]=img2mesh(varargin{:}); octave-iso2mesh-1.9.6+ds/slicesurf.m0000644001356000007640000000227513724766530016315 0ustar fangqadminfunction [bcutpos, bcutloop, bcutvalue]=slicesurf(node, face, varargin) % % [bcutpos, bcutloop]=slicesurf(node, face, varargin) % % Slice a closed surface by a plane and extract the intersection curve as a % polyline loop % % author: Qianqian Fang (q.fang at neu.edu) % % input: % node: an N x 3 array defining the 3-D positions of the mesh % face: an N x 3 interger array specifying the surface triangle indices; % % output: % bcutpos: the nodes on the intersection curve % bcutloop: the sequential order of the nodes to form a polyline loop; % the last node is assumed to be connected to the first node; an % nan indicates the end of a loop; the intersection may contain % multiple loops; if only bcutpos is returned, the nodes will be % made in sequential order. % % % -- this function is part of brain2mesh toolbox (http://mcx.space/brain2mesh) % License: GPL v3 or later, see LICENSE.txt for details % [bcutpos,bcutvalue,bcutedges]=qmeshcut(face(:,1:3),node,node(:,1),varargin{:}); [bcutpos,bcutedges]=removedupnodes(bcutpos,bcutedges); bcutloop=extractloops(bcutedges); if(nargout==1) bcutloop(isnan(bcutloop))=[]; bcutpos=bcutpos(bcutloop,:); endoctave-iso2mesh-1.9.6+ds/meshinterp.m0000644001356000007640000000373613724766530016477 0ustar fangqadminfunction newval=meshinterp(fromval,elemid,elembary,fromelem) % % newval=meshinterp(fromval,elemid,elembary,fromelem) % % Interpolate nodal values from the source mesh to the target mesh based on % a linear interpolation % % author: Qianqian Fang (q.fang at neu.edu) % % input: % fromval: values defined at the source mesh nodes, the row or column % number must be the same as the source mesh node number, which % is the same as the elemid length % elemid: the IDs of the source mesh element that encloses the nodes of % the target mesh nodes; a vector of length of target mesh node % count; elemid and elembary can be generated by calling % % [elemid,elembary]=tsearchn(node_src, elem_src, node_target); % % note that the mapping here is inverse to that in meshremap() % % elembary: the bary-centric coordinates of each target mesh nodes % within the source mesh elements, sum of each row is 1, expect % 3 or 4 columns (or can be N-D) % fromelem: the element list of the source mesh % % % output: % newval: a 2D array with rows equal to the target mesh nodes (nodeto), % and columns equals to the value numbers defined at each source % mesh node % example: % % [n1,f1,e1]=meshabox([0 0 0],[10 20 5],1); % target mesh % [n2,f2,e2]=meshabox([0 0 0],[10 20 5],2); % src mesh % [id, ww]=tsearchn(n2,e2,n1); % project target to src mesh % value_src=n2(:,[2 1 3]); % create dummy values at src mesh % newval=meshinterp(value_src,id, ww, e2); % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % if(size(fromval,1)==1) fromval=fromval(:); end idx=find(~isnan(elemid)); allval=reshape(fromval(fromelem(elemid(idx),:),:),length(idx),size(elembary,2),size(fromval,2)); tmp=cellfun(@(x) sum(elembary(idx,:).*x,2), num2cell(allval,[1 2]),'UniformOutput',false); newval=size(length(elemid),size(fromval,2)); newval(idx,:)=squeeze(cat(3,tmp{:})); octave-iso2mesh-1.9.6+ds/lzipencode.m0000644001356000007640000000221313724766530016442 0ustar fangqadminfunction varargout = lzipencode(varargin) % % output = lzipencode(input) % or % [output, info] = lzipencode(input) % % Compress a string or a numerical array using LZip-compression % % This function depends on the ZMat toolbox (http://github.com/fangq/zmat) % % authors:Qianqian Fang (q.fang neu.edu) % % input: % input: the original data, can be a string, a numerical vector or array % % output: % output: the compressed byte stream stored in a uint8 vector % info: (optional) a struct storing the metadata of the input, see "help zmat" for details % % examples: % [bytes, info]=lzipencode(eye(10)); % orig=lzipdecode(bytes,info); % % license: % BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details % % -- this function is part of JSONLab toolbox (http://iso2mesh.sf.net/cgi-bin/index.cgi?jsonlab) % if(nargin==0) error('you must provide at least 1 input'); end if(exist('zmat','file')==2 || exist('zmat','file')==3) [varargout{1:nargout}]=zmat(varargin{1}, 1,'lzip',varargin{2:end}); return; else error('you must install ZMat toolbox to use this feature: http://github.com/fangq/zmat') end octave-iso2mesh-1.9.6+ds/meshrefine.m0000644001356000007640000002314013724766530016435 0ustar fangqadminfunction [newnode,newelem,newface]=meshrefine(node,elem,varargin) % % [newnode,newelem,newface]=meshrefine(node,elem,face,opt) % % refine a tetrahedral mesh by adding new nodes or constraints % % author: Qianqian Fang, % % input parameters: % node: existing tetrahedral mesh node list % elem: existing tetrahedral element list % face: (optional) existing tetrahedral mesh surface triangle list % opt: options for mesh refinement: % if opt is a Nx3 array, opt is treated as a list of new nodes to % be inserted into the mesh. the new nodes must be located on the % surface or inside the original mesh. external nodes are % discarded, unless the opt.extcmdopt is specified. % if opt is a vector with a length that equals to that of node, % it will be used to specify the desired edge-length at each node; % setting a node value to 0 will by-pass the refinement at this node % if opt is a vector with a length that equals to that of elem, % it will be used as the desired maximum element volume of each % tetrahedron; setting to 0 will by-pass the refinement of that element. % if opt is a struct, it can have the following fields: % opt.newnode: same as setting opt to an Nx3 array % opt.reratio: radius-edge ratio, by default, iso2mesh uses 1.414 % opt.maxvol: maximum element volume % opt.sizefield: a vector specifying either the desired edge-length % at each node, or the maximum volume constraint within each % tetrahedron, see above for details. % opt.extcmdopt: by default, meshrefine can only insert nodes % that are inside the original mesh. if one prefers to insert % nodes that are outside of the original mesh, one can define % this parameter to specify the meshing option (for tetgen) % for the extended domain, i.e. the convex hull including % both the original and the external nodes. If not defined, % '-Y' option is used by default (prevent tetgen from % inserting new nodes on the surface). % opt.extlabel: when external nodes are inserted, the new elements % will be assigned with an element label to group them % together, by default, this label is 0, unless opt.extlabel % is given % opt.extcorelabel: when external nodes are inserted, par of the % new elements share the polyhedra between the inserted nodes, % these special elements will be marked by opt.extcorelabel, % otherwise the label will be set to -1 % % outputs: % newnode: node coordinates of the tetrahedral mesh % newelem: element list of the tetrahedral mesh % newface: mesh surface element list of the tetrahedral mesh % the last column denotes the boundary ID % % examples: % % [node,face,elem]=meshasphere([0 0 0],24,1,2); % elem(:,5)=1; % % % inserting nodes that are inside the original mesh % innernodes=double([1 1 1; 2 2 2; 3 3 3]); % [newno,newel]=meshrefine(node,elem,innernodes); % all(ismember(round(innernodes*1e10)*1e-10,round(newno*1e10)*1e-10,'rows')) % plotmesh(newno,[],newel,'x>-3') % % % inserting nodes that are external to the original mesh % extnodes=double([-5 -5 25;-5 5 25;5 5 25;5 -5 25]); % [newno,newel]=meshrefine(node,elem,struct('newnode',extnodes,'extcmdopt','-Y')); % figure; % plotmesh(newno,[],newel,'x>-3') % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % exesuff=getexeext; exesuff=fallbackexeext(exesuff,'tetgen'); newpt=[]; sizefield=[]; if(size(node,2)==4) sizefield=node(:,4); node=node(:,1:3); end opt=struct; if(length(varargin)==1) face=[]; if(isstruct(varargin{1})) opt=varargin{1}; else if(length(varargin{1})==size(node,1) || length(varargin{1})==size(elem,1)) sizefield=varargin{1}; else newpt=varargin{1}; end end elseif(length(varargin)>=2) face=varargin{1}; if(isstruct(varargin{2})) opt=varargin{2}; else if(length(varargin{2})==size(node,1) || length(varargin{1})==size(elem,1)) sizefield=varargin{2}; else newpt=varargin{2}; end end else error('meshrefine requires at least 3 inputs'); end if(isstruct(opt) && isfield(opt,'newnode')) newpt=opt.newnode; end if(isstruct(opt) && isfield(opt,'sizefield')) sizefield=opt.sizefield; end % call tetgen to create volumetric mesh deletemeshfile(mwpath('pre_refine.*')); deletemeshfile(mwpath('post_refine.*')); moreopt=''; setquality=0; if(isstruct(opt) && isfield(opt,'reratio')) moreopt=[moreopt sprintf(' -q %.10f ',opt.reratio)]; setquality=1; end if(isstruct(opt) && isfield(opt,'maxvol')) moreopt=[moreopt sprintf(' -a %.10f ',opt.maxvol)]; end externalpt=[]; if(isstruct(opt) && isfield(opt,'extcmdopt')) isinside=tsearchn(node(:,1:3),elem(:,1:4),newpt(:,1:3)); externalpt=newpt(isnan(isinside),:); newpt=newpt(find(isnan(isinside)==0),:); end if(~isempty(newpt)) if(size(newpt,1)<4) newpt=[newpt; repmat(newpt(1,:),4-size(newpt,1),1)]; end savetetgennode(newpt,mwpath('pre_refine.1.a.node')); moreopt=' -i '; end if(~isempty(sizefield)) if(length(sizefield)==size(node,1)) fid=fopen(mwpath('pre_refine.1.mtr'),'wt'); fprintf(fid,'%d 1\n',size(sizefield,1)); fprintf(fid,'%.16f\n',sizefield); fclose(fid); moreopt=[moreopt ' -qa ']; else fid=fopen(mwpath('pre_refine.1.vol'),'wt'); fprintf(fid,'%d\n',size(sizefield,1)); fprintf(fid,'%d\t%.16f\n',[(1:size(sizefield,1))' sizefield]'); fclose(fid); moreopt=[moreopt ' -qa ']; end end if(size(elem,2)==3 && setquality==0) if(~isempty(newpt)) error('inserting new point can not be used for surfaces'); end nedge=savegts(node, elem,mwpath('pre_refine.gts')); exesuff=fallbackexeext(getexeext,'gtsrefine'); elseif(size(elem,2)==3) savesurfpoly(node,elem,[],[],[],[],mwpath('pre_refine.poly')); else savetetgennode(node, mwpath('pre_refine.1.node')); savetetgenele (elem, mwpath('pre_refine.1.ele')); end fprintf(1,'refining the input mesh ...\n'); if(size(elem,2)==3 && setquality==0) if(isstruct(opt) && isfield(opt,'scale')) moreopt=sprintf('%s -n %d ',moreopt,round(nedge*opt.scale)); else error('you must give opt.scale value for refining a surface'); end end if(isstruct(opt) && isfield(opt,'moreopt')) moreopt=[moreopt opt.moreopt]; end if(size(elem,2)==3 && setquality==0) status=system([' "' mcpath('gtsrefine') exesuff '" ' moreopt ' < "' ... mwpath('pre_refine.gts') '" > "' mwpath('post_refine.gts') '"']); if(status) error('gtsrefine command failed'); end [newnode,newelem]=readgts(mwpath('post_refine.gts')); newface=newelem; elseif(size(elem,2)==3) status=system([' "' mcpath('tetgen') exesuff '" ' moreopt ' -p -A "' mwpath('pre_refine.poly') '"']); if(status) error('tetgen command failed'); end [newnode,newelem,newface]=readtetgen(mwpath('pre_refine.1')); elseif(~isempty(moreopt)) status=system([' "' mcpath('tetgen') exesuff '" ' moreopt ' -r "' mwpath('pre_refine.1') '"']); if(status) error('tetgen command failed'); end [newnode,newelem,newface]=readtetgen(mwpath('pre_refine.2')); else newnode=node; newelem=elem; newface=face; end if(~isempty(externalpt)) % user request to insert nodes that are outside of the original mesh % create a mesh including the external points externalpt=unique(externalpt,'rows'); allnode=[newnode;externalpt]; % define the convexhull as the external surface try outface=convhull(allnode,'simplify',false); catch if(isoctavemesh) outface=volface(delaunayn(allnode)); else outface=convhulln(allnode); end end outface=sort(outface,2); face=volface(newelem(:,1:4)); inface=sort(face(:,1:3),2); % define the surface that bounds the newly extended convex hull space bothsides=removedupelem([outface;inface]); % define a seed point to avoid meshing the interior space holelist=surfseeds(newnode,face(:,1:3)); % mesh the extended space ISO2MESH_TETGENOPT=jsonopt('extcmdopt','-Y',opt); try if(size(bothsides,1)>=size(inface,1)) [no,el]=surf2mesh(allnode,bothsides,[],[],1,10,[],holelist); else [no,el]=surf2mesh(allnode,bothsides,[],[],1,10); end catch bothsides=maxsurf(finddisconnsurf(bothsides),allnode); if(size(bothsides,1)>=size(inface,1)) [no,el]=surf2mesh(allnode,bothsides,[],[],1,10,[],holelist); else [no,el]=surf2mesh(allnode,bothsides,[],[],1,10); end end [isinside,map]=ismember(round(no*1e10)*1e-10,round(allnode*1e10)*1e-10,'rows'); snid=[length(newnode)+1:length(allnode)]; if(~isempty(map==0)) oldsize=size(allnode,1); allnode=[allnode;no(map==0,:)]; map(map==0)=oldsize+1:size(allnode,1); end % merge the external space with the original mesh el2=map(el(:,1:4)); % label all new elements with -1 if(size(newelem,2)==5) el2(:,5)=jsonopt('extlabel',0,opt); % search elements that contain source(s) and save their id(s) iselm=ismember(el2(:,1:4),snid); el2(sum(iselm,2)>=3,5)=jsonopt('extcorelabel',-1,opt); end % merge nodes/elements and replace the original ones newnode=allnode; newelem=[newelem;el2]; end % read in the generated mesh fprintf(1,'mesh refinement is complete\n'); octave-iso2mesh-1.9.6+ds/saveinr.m0000644001356000007640000000214413724766530015760 0ustar fangqadminfunction saveinr(vol,fname) % % saveinr(vol,fname) % % save a surface mesh to INR Format % % author: Qianqian Fang, % date: 2009/01/04 % % input: % vol: input, a binary volume % fname: output file name % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % fid=fopen(fname,'wb'); if(fid==-1) error('You do not have permission to save mesh files.'); end dtype=class(vol); if(islogical(vol) || strcmp(dtype,'uint8')) btype='unsigned fixed'; dtype='uint8'; bitlen=8; elseif(strcmp(dtype,'uint16')) btype='unsigned fixed'; dtype='uint16'; bitlen=16; elseif(strcmp(dtype,'float')) btype='float'; dtype='float'; bitlen=32; elseif(strcmp(dtype,'double')) btype='float'; dtype='double'; bitlen=64; else error('volume format not supported'); end header=sprintf(['#INRIMAGE-4#{\nXDIM=%d\nYDIM=%d\nZDIM=%d\nVDIM=1\nTYPE=%s\n' ... 'PIXSIZE=%d bits\nCPU=decm\nVX=1\nVY=1\nVZ=1\n'],size(vol),btype,bitlen); header=[header char(10*ones(1,256-4-length(header))) '##}' char(10)]; fwrite(fid,header,'char'); fwrite(fid,vol,dtype); fclose(fid); octave-iso2mesh-1.9.6+ds/savenifti.m0000644001356000007640000000406213724766530016302 0ustar fangqadminfunction bytestream=savenifti(img, filename, varargin) % % savenifti(img, filename) % or % savenifti(img, filename, rawhdr) % savenifti(img, filename, 'nifti2') % bytestream=savenifti(img) % % Write an image to a NIfTI (*.nii) or compressed NIfTI file (.nii.gz) % % author: Qianqian Fang (q.fang neu.edu) % % input: % img: this is a numerical array to be stored in the NIfTI file % filename: output file name, can have a suffix of '.nii' or '.nii.gz' % if a .gz suffix is used, this function needs the JSONLab % (http://gitlab.com/fangq/jsonlab) and ZMat (http://gitlab.com/fangq/zmat) % to perform the compression. % rawhdr (optional): a struct, as a pre-created/loaded NIfTI header data structure % if rawhdr is 'nifti1' or 'nifti2', this function calls % nifticreate to create a default header. % output: % bytestream (optional): the output file byte stream. it only returns this output if % no filename is given. % % example: % a=single(rand(10,20,30)); % savenifti(a,'randnii.nii'); % savenifti(a,'randnii2.nii.gz','nifti2'); % needs zmat % % % this file is part of JNIfTI specification: https://github.com/fangq/jnifti % % License: Apache 2.0, see https://github.com/fangq/jnifti for details % if(~isempty(varargin)) if(isstruct(varargin{1})) header=varargin{1}; elseif(ischar(varargin{1})) header=nifticreate(img,varargin{1}); end else header=nifticreate(img); end names=fieldnames(header); buf=[]; for i=1:length(names) buf=[buf,typecast(header.(names{i}),'uint8')]; end if(length(buf)~=352 && length(buf)~=544) error('incorrect nifti-1/2 header %d',length(buf)); end buf=[buf,typecast(img(:)','uint8')]; if(nargout>1 && nargin<2) bytestream=buf; return; end if(regexp(filename,'\.[Gg][Zz]$')) buf=gzipencode(buf); end fid=fopen(filename,'wb'); if(fid==0) error('can not write to the specified file'); end fwrite(fid,buf); fclose(fid); octave-iso2mesh-1.9.6+ds/flatsegment.m0000644001356000007640000000221113724766530016615 0ustar fangqadminfunction mask=flatsegment(node,edge) % % mask=flatsegment(node,edge) % % decompose edge loops into flat segments alone arbitrary planes of the bounding box % % author: Qianqian Fang, % date: 2008/04/08 % % this code is fragile: it can not handle curves with many co-linear % nodes near the corner point % % input: % node: x,y,z coordinates of each node of the mesh % edge: input, a single vector separated by NaN, each segment % is a close-polygon consisted by node IDs % % output: % mask: output, a cell, each element is a close-polygon % on x/y/z plane % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % idx=edge; nn=length(idx); val=zeros(nn,1); for i=1:nn tet=mod(i:i+3,nn); tet(find(tet==0))=nn; val(i)=(abs(det([node(idx(tet),:),ones(4,1)]))>1e-5); end val(end+1:end+2)=val(1:2); mask={}; oldend=1; for i=1:nn if(val(i)==1&val(i+1)==1&val(i+2)==0) val(i+2)=2; mask{count}=idx(oldend:i+2); count=count+1; oldend=i+2; else mask{count}=[idx(oldend:end);mask{1}]; break; end end octave-iso2mesh-1.9.6+ds/latticegrid.m0000644001356000007640000000400613724766530016603 0ustar fangqadminfunction [node,face,centroids]=latticegrid(varargin) % % [node,face,centroids]=latticegrid(xrange,yrange,zrange,...) % % generate a 3D lattice % % author: Qianqian Fang, % % input: % xrange, yrange, zrange ...: 1D vectors specifying the range of each % dimension of the lattice % % output: % node: the vertices of the 3D lattice % face: the list of cell faces of the lattice, including both internal % and external facets. By default, face is in the form of a cell % array, with each row representing a face. One can use % cell2mat(face) to convert it to an array % centroids: the centroids of each lattice cell % % example: % % generate a 3D lattice % [node,face,c0]=latticegrid([1 2 4],1:3,1:4); % plotmesh(node,face) % % % mesh the 3D lattice based on the face info % [no,el]=surf2mesh(node,face,[],[],1,0.01,c0); % figure; plotmesh(no,el) % % % mesh a 2-layer structure using a simple lattice % [node,face,c0]=latticegrid([0 10],[0 5],[0 3.5 4]); % c0(:,4)=[0.01;0.001]; % [no,el]=surf2mesh(node,face,[],[],1,[],c0); % figure; plotmesh(no,el) % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % n=length(varargin); p=cell(n,1); [p{:}]=ndgrid(varargin{:}); node=zeros(length(p{1}(:)),n); for i=1:n node(:,i)=p{i}(:); end if(nargout==1) return; end dim=size(p{1}); dd=[dim(1) dim(1)*dim(2)]; onecube=[0 dd(1) dd(1)+1 1; ... 0 1 dd(2)+1 dd(2); ... 0 dd(2) dd(2)+dd(1) dd(1)]; onecube=[onecube;onecube+repmat([dd(2);dd(1);1],1,4)]; len=prod(dim(1:3)-1); face=repmat(onecube,len,1); [xx,yy,zz]=ndgrid(1:dim(1)-1,1:dim(2)-1,1:dim(3)-1); idx=sub2ind(dim,xx(:),yy(:),zz(:))'; orig=repmat(idx,size(onecube,1),1); for i=1:size(onecube,2) face(:,i)=face(:,i)+orig(:); end face=unique(face,'rows'); face=mat2cell(face,ones(size(face,1),1)); if(nargout>=3) diffvec=cellfun(@diff,varargin,'UniformOutput',false); [xx,yy,zz]=ndgrid(diffvec{:}); centroids=node(idx,:)+[xx(:) yy(:) zz(:)]*0.5; endoctave-iso2mesh-1.9.6+ds/readnifti.m0000644001356000007640000002065313724766530016263 0ustar fangqadminfunction nii=readnifti(filename) % % nii=readnifti(filename) % % Read a Nifti (*.nii) or Analyze 7.5 (*.hdr/*.img) image file % % author: Qianqian Fang (q.fang neu.edu) % % input: % fname: the file name to a .nii file, or an Analyze 7.5 file (*.hdr,*.img) % % output: % nii.img: the data volume read from the nii file % nii.datatype: the data type of the voxel, in matlab data type string % nii.datalen: data count per voxel - for example RGB data has 3x % uint8 per voxel, so datatype='uint8', datalen=3 % nii.voxelbyte: total number of bytes per voxel: for RGB data, % voxelbyte=3; also voxelbyte=header.bitpix/8 % nii.hdr: file header info, a structure has the full nii header % key subfileds include % % sizeof_hdr: must be 348 if the input is nifti % dim: short array, dim(2: dim(1)+1) defines the array size % datatype: the type of data stored in each voxel % bitpix: total bits per voxel % magic: must be 'ni1\0' or 'n+1\0' % % For the detailed nii header, please see % https://nifti.nimh.nih.gov/pub/dist/src/niftilib/nifti1.h % % this file was ported from mcxloadnii.m from the MCX Project (http://mcx.space) % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % hdrfile=filename; isnii=-1; if(regexp(filename,'(\.[Hh][Dd][Rr]$|\.[Ii][Mm][Gg]$)')) isnii=0; elseif(regexp(filename,'\.[Nn][Ii][Ii]$')) isnii=1; end if(isnii<0) error('file is not a Nifti or Analyze 7.5 data file'); end if(regexp(filename,'\.[Ii][Mm][Gg]$')) hdrfile=regexprep(filename,'\.[Ii][Mm][Gg]$','.hdr'); end header = memmapfile(hdrfile, ... 'Offset', 0, ... 'Writable', false, ... 'Format', { ... 'int32' [1 1] 'sizeof_hdr' ; %!< MUST be 348 % % int sizeof_hdr; % ... 'int8' [1 10] 'data_type' ; %!< ++UNUSED++ % % char data_type[10]; % ... 'int8' [1 18] 'db_name' ; %!< ++UNUSED++ % % char db_name[18]; % ... 'int32' [1 1] 'extents' ; %!< ++UNUSED++ % % int extents; % ... 'int16' [1 1] 'session_error' ; %!< ++UNUSED++ % % short session_error; % ... 'int8' [1 1] 'regular' ; %!< ++UNUSED++ % % char regular; % ... 'int8' [1 1] 'dim_info' ; %!< MRI slice ordering. % % char hkey_un0; % ... 'uint16' [1 8] 'dim' ; %!< Data array dimensions.% % short dim[8]; % ... 'single' [1 1] 'intent_p1' ; %!< 1st intent parameter. % % short unused8/9; % ... 'single' [1 1] 'intent_p2' ; %!< 2nd intent parameter. % % short unused10/11; % ... 'single' [1 1] 'intent_p3' ; %!< 3rd intent parameter. % % short unused12/13; % ... 'int16' [1 1] 'intent_code' ; %!< NIFTI_INTENT_* code. % % short unused14; % ... 'int16' [1 1] 'datatype' ; %!< Defines data type! % % short datatype; % ... 'int16' [1 1] 'bitpix' ; %!< Number bits/voxel. % % short bitpix; % ... 'int16' [1 1] 'slice_start' ; %!< First slice index. % % short dim_un0; % ... 'single' [1 8] 'pixdim' ; %!< Grid spacings. % % float pixdim[8]; % ... 'single' [1 1] 'vox_offset' ; %!< Offset into .nii file % % float vox_offset; % ... 'single' [1 1] 'scl_slope' ; %!< Data scaling: slope. % % float funused1; % ... 'single' [1 1] 'scl_inter' ; %!< Data scaling: offset. % % float funused2; % ... 'int16' [1 1] 'slice_end' ; %!< Last slice index. % % float funused3; % ... 'int8' [1 1] 'slice_code' ; %!< Slice timing order. % ... 'int8' [1 1] 'xyzt_units' ; %!< Units of pixdim[1..4] % ... 'single' [1 1] 'cal_max' ; %!< Max display intensity % % float cal_max; % ... 'single' [1 1] 'cal_min' ; %!< Min display intensity % % float cal_min; % ... 'single' [1 1] 'slice_duration'; %!< Time for 1 slice. % % float compressed; % ... 'single' [1 1] 'toffset' ; %!< Time axis shift. % % float verified; % ... 'int32' [1 1] 'glmax' ; %!< ++UNUSED++ % % int glmax; % ... 'int32' [1 1] 'glmin' ; %!< ++UNUSED++ % % int glmin; % ... 'int8' [1 80] 'descrip' ; %!< any text you like. % % char descrip[80]; % ... 'int8' [1 24] 'aux_file' ; %!< auxiliary filename. % % char aux_file[24]; % ... 'int16' [1 1] 'qform_code' ; %!< NIFTI_XFORM_* code. % %-- all ANALYZE 7.5 --- % ... 'int16' [1 1] 'sform_code' ; %!< NIFTI_XFORM_* code. % %below here are replaced% ... 'single' [1 1] 'quatern_b' ; %!< Quaternion b param. % ... 'single' [1 1] 'quatern_c' ; %!< Quaternion c param. % ... 'single' [1 1] 'quatern_d' ; %!< Quaternion d param. % ... 'single' [1 1] 'qoffset_x' ; %!< Quaternion x shift. % ... 'single' [1 1] 'qoffset_y' ; %!< Quaternion y shift. % ... 'single' [1 1] 'qoffset_z' ; %!< Quaternion z shift. % ... 'single' [1 4] 'srow_x' ; %!< 1st row affine transform. % ... 'single' [1 4] 'srow_y' ; %!< 2nd row affine transform. % ... 'single' [1 4] 'srow_z' ; %!< 3rd row affine transform. % ... 'int8' [1 16] 'intent_name' ; %!< 'name' or meaning of data. % ... 'int8' [1 4] 'magic' ; %!< MUST be "ni1\0" or "n+1\0". % ... 'int8' [1 4] 'extension' %!< header extension % ... }); nii.hdr=header.Data(1); type2byte=[ 0 0 % unknown % 1 0 % binary (1 bit/voxel) % 2 1 % unsigned char (8 bits/voxel) % 4 2 % signed short (16 bits/voxel) % 8 4 % signed int (32 bits/voxel) % 16 4 % float (32 bits/voxel) % 32 8 % complex (64 bits/voxel) % 64 8 % double (64 bits/voxel) % 128 3 % RGB triple (24 bits/voxel) % 255 0 % not very useful (?) % 256 1 % signed char (8 bits) % 512 2 % unsigned short (16 bits) % 768 4 % unsigned int (32 bits) % 1024 8 % long long (64 bits) % 1280 8 % unsigned long long (64 bits) % 1536 16 % long double (128 bits) % 1792 16 % double pair (128 bits) % 2048 32 % long double pair (256 bits) % 2304 4 % 4 byte RGBA (32 bits/voxel) % ]; type2str={ 'uint8' 0 % unknown % 'uint8' 0 % binary (1 bit/voxel) % 'uint8' 1 % unsigned char (8 bits/voxel) % 'uint16' 1 % signed short (16 bits/voxel) % 'int32' 1 % signed int (32 bits/voxel) % 'float32' 1 % float (32 bits/voxel) % 'float32' 2 % complex (64 bits/voxel) % 'float64' 1 % double (64 bits/voxel) % 'uint8' 3 % RGB triple (24 bits/voxel) % 'uint8' 0 % not very useful (?) % 'int8' 1 % signed char (8 bits) % 'uint16' 1 % unsigned short (16 bits) % 'uint32' 1 % unsigned int (32 bits) % 'long' 1 % long long (64 bits) % 'ulong' 1 % unsigned long long (64 bits) % 'uint8' 16 % long double (128 bits) % 'uint8' 16 % double pair (128 bits) % 'uint8' 32 % long double pair (256 bits) % 'uint8' 4 % 4 byte RGBA (32 bits/voxel) % }; typeidx=find(type2byte(:,1)==nii.hdr.datatype); nii.datatype=type2str{typeidx,1}; nii.datalen=type2str{typeidx,2}; nii.voxelbyte=type2byte(typeidx,2); if(type2byte(typeidx,2)==0) nii.img=[]; return; end if(type2str{typeidx,2}>1) nii.hdr.dim=[nii.hdr.dim(1)+1 uint16(nii.datalen) nii.hdr.dim(2:end)]; end if(regexp(filename,'\.[Hh][Dd][Rr]$')) filename=regexprep(filename,'\.[Hh][Dd][Rr]$','.img'); end fid=fopen(filename,'rb'); if(isnii) fseek(fid,nii.hdr.vox_offset,'bof'); end nii.img=fread(fid,prod(nii.hdr.dim(2:nii.hdr.dim(1)+1)),[nii.datatype '=>' nii.datatype]); fclose(fid); nii.img=reshape(nii.img,nii.hdr.dim(2:nii.hdr.dim(1)+1)); octave-iso2mesh-1.9.6+ds/lz4hcencode.m0000644001356000007640000000222213724766530016510 0ustar fangqadminfunction varargout = lz4hcencode(varargin) % % output = lz4hcencode(input) % or % [output, info] = lz4hcencode(input) % % Compress a string or a numerical array using LZ4HC-compression % % This function depends on the ZMat toolbox (http://github.com/fangq/zmat) % % authors:Qianqian Fang (q.fang neu.edu) % % input: % input: the original data, can be a string, a numerical vector or array % % output: % output: the compressed byte stream stored in a uint8 vector % info: (optional) a struct storing the metadata of the input, see "help zmat" for details % % examples: % [bytes, info]=lz4hcencode(eye(10)); % orig=lz4hcdecode(bytes,info); % % license: % BSD or GPL version 3, see LICENSE_{BSD,GPLv3}.txt files for details % % -- this function is part of JSONLab toolbox (http://iso2mesh.sf.net/cgi-bin/index.cgi?jsonlab) % if(nargin==0) error('you must provide at least 1 input'); end if(exist('zmat','file')==2 || exist('zmat','file')==3) [varargout{1:nargout}]=zmat(varargin{1}, 1,'lz4hc',varargin{2:end}); return; else error('you must install ZMat toolbox to use this feature: http://github.com/fangq/zmat') end octave-iso2mesh-1.9.6+ds/savestl.m0000644001356000007640000000273713724766530016002 0ustar fangqadminfunction savestl(node,elem,fname,solidname) % % savestl(node,elem,fname,solidname) % % save a tetrahedral mesh to an STL (Standard Tessellation Language) file % % author: Qianqian Fang, % date: 2012/02/14 % % input: % node: input, surface node list, dimension Nx3 % elem: input, tetrahedral element list; if size(elem,2)==3, it is a surface % fname: output file name % solidname: an optional string for the name of the object % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % fid=fopen(fname,'wt'); if(fid==-1) error('You do not have permission to save mesh files.'); end if(nargin<4) solidname=''; end fprintf(fid,'solid %s\n', solidname); if(nargin<3) error('incomplete input'); end if(isempty(node) || size(node,2)<3) error('invalid node input'); end if(~isempty(elem)) if(size(elem,2)>=5) elem(:,5:end)=[]; end if(size(elem,2)==4) elem=meshreorient(node,elem); elem=volface(elem); end ev=surfplane(node,elem); ev=ev(:,1:3)./repmat(sqrt(sum(ev(:,1:3).*ev(:,1:3),2)),1,3); len=size(elem,1); for i=1:len fprintf(fid,['facet normal %e %e %e\n' ... ' outer loop\n' ... ' vertex %e %e %e\n' ... ' vertex %e %e %e\n' ... ' vertex %e %e %e\n' ... ' endloop\n' ... 'endfacet\n'], [ev(i,:)',node(elem(i,:),1:3)']); end end fprintf(fid,'endsolid %s\n', solidname); fclose(fid); octave-iso2mesh-1.9.6+ds/dist2surf.m0000644001356000007640000000232513724766530016237 0ustar fangqadminfunction [d2surf,cn]=dist2surf(node,nv,p,cn) % [d2surf,cn]=dist2surf(node,nv,p) % % calculate the distances from a point cloud to a surface, and return % the indices of the closest surface node % % author: Qianqian Fang % date: 12/12/2008 % % parameters: % node: node coordinate of the surface mesh (nn x 3) % nv: nodal norms (vector) calculated from nodesurfnorm.m % with dimensions of (size(node,1),3), this can be % calcuated from nodesurfnorm.m % pt: points to be calculated, 3 columns for x,y and z respectively % % outputs: % d2surf: a vector of length of p, the distances from p(i) to the surface % cn: a integer vector with the length of p, the indices of the closest surface node % % Please find more information at http://iso2mesh.sf.net/cgi-bin/index.cgi?metch % % this function is part of "metch" toobox, see COPYING for license if(nargin<4) nn=size(node,1); pnum=size(p,1); mindist=zeros(pnum,1); cn=zeros(pnum,1); for i=1:pnum d0=node-repmat(p(i,:),nn,1); d0=sum(d0.*d0,2); [mindist(i),cn(i)]=min(d0); end end d2surf=abs(sum(nv(cn,:).*(p-node(cn,:)),2)); octave-iso2mesh-1.9.6+ds/meshgrid5.m0000644001356000007640000000503613724766530016203 0ustar fangqadminfunction [node,elem]=meshgrid5(varargin) % % [node,elem]=meshgrid5(v1,v2,v3,...) % % mesh an ND rectangular lattice by splitting % each hypercube into 5 tetrahedra % % author: Qianqian Fang, % inspired by John D'Errico % URL: http://www.mathworks.com/matlabcentral/newsreader/view_thread/107191 % % input: % v1,v2,v3,... - numeric vectors defining the lattice in % each dimension. % Each vector must be of length >= 1 % % output: % node - factorial lattice created from (v1,v2,v3,...) % Each row of this array is one node in the lattice % elem - integer array defining simplexes as references to % rows of "node". % % example: % [node,elem]=meshgrid5(0:5,0:6,0:4); % plotmesh(node,elem); % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % % dimension of the lattice n = length(varargin); if(n~=3) error('only works for 3D case!'); end for i=1:n v=varargin{i}; if(mod(length(v),2)==0) varargin{i}=linspace(v(1),v(end),length(v)+1); end end % create a single n-d hypercube % list of node of the cube itself cube8=... [1 4 5 13;1 2 5 11;1 10 11 13;11 13 14 5;11 13 1 5;... 2 3 5 11;3 5 6 15;15 11 12 3;15 11 14 5;11 15 3 5;... 4 5 7 13;5 7 8 17;16 17 13 7;13 17 14 5;5 7 17 13;... 5 6 9 15;5 8 9 17;17 18 15 9;17 15 14 5;17 15 5 9;... 10 13 11 19;13 11 14 23;22 19 23 13;19 23 20 11;13 11 19 23;... 11 12 15 21;11 15 14 23;23 21 20 11;23 24 21 15;23 21 11 15;... 16 13 17 25;13 17 14 23;25 26 23 17;25 22 23 13;13 17 25 23;... 17 18 15 27;17 15 14 23;26 27 23 17;27 23 24 15;23 27 17 15]'; % build the complete lattice nodecount = cellfun('length',varargin); if any(nodecount<2) error 'Each dimension must be of size 2 or more.' end node = lattice(varargin{:}); [ix,iy,iz]=meshgrid(1:2:nodecount(1)-2,1:2:nodecount(2)-2,1:2:nodecount(3)-2); ind=sub2ind(nodecount,ix(:),iy(:),iz(:)); nodeshift=[0 1 2 nodecount(1) nodecount(1)+1 nodecount(1)+2 ... 2*nodecount(1) 2*nodecount(1)+1 2*nodecount(1)+2]; nodeshift=[nodeshift,nodeshift+nodecount(1)*nodecount(2),nodeshift+2*nodecount(1)*nodecount(2)]; nc=length(ind); elem=zeros(nc*40,4); for i=1:nc elem((1:40)+(i-1)*40,:)=reshape(nodeshift(cube8(:)),4,40)'+ind(i); end % ======== subfunction ======== function g = lattice(varargin) % generate a factorial lattice in n variables n=nargin; sizes = cellfun('length',varargin); c=cell(1,n); [c{1:n}]=ndgrid(varargin{:}); g=zeros(prod(sizes),n); for i=1:n g(:,i)=c{i}(:); end octave-iso2mesh-1.9.6+ds/meshreorient.m0000644001356000007640000000144713724766530017022 0ustar fangqadminfunction [newelem, evol]=meshreorient(node,elem) % % [newelem, evol]=meshreorient(node,elem) % % reorder nodes in a surface or tetrahedral mesh to ensure all % elements are oriented consistently % % author: Qianqian Fang, % date: 2010/05/05 % % input: % node: list of nodes % elem: list of elements (each row are indices of nodes of each element) % % output: % newelem: the element list with consistent ordering % evol: the signed element volume before reorientation % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % % calculate the canonical volume of the element (can be a 2D or 3D) evol=elemvolume(node,elem,'signed'); % make sure all elements are positive in volume idx=find(evol<0); elem(idx,[end-1,end])=elem(idx,[end,end-1]); newelem=elem; octave-iso2mesh-1.9.6+ds/internalpoint.m0000644001356000007640000000234113724766530017176 0ustar fangqadminfunction p=internalpoint(v,aloop) % % p=internalpoint(v,aloop) % % imperical function to find an internal point % of a planar polygon % % author: Qianqian Fang, % date: 2008/04/08 % % input: % v: x,y,z coordinates of each node of the mesh % aloop: input, a single vector separated by NaN, each segment % is a close-polygon consisted by node IDs % output: % p: output, [x y z] of an internal point of aloop % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % p=[]; nd=v(aloop,:); boxfacet=find(sum(abs(diff(nd)))<1e-2); % find a flat loop if(length(boxfacet)) % if the loop is flat along x/y/z dir bf=boxfacet(1); % no degeneracy allowed idx=setdiff([1 2 3],bf); p0=(nd(1,:)+nd(2,:))/2; pvec=complex(p0(idx(1)),p0(idx(2))); vec=nd(2,:)-nd(1,:); vec=complex(vec(idx(1)),vec(idx(2)))*exp(i*pi/2)*(1e-5)/sqrt(sum(vec.*vec)); testpt=[real(pvec+vec) imag(pvec+vec);real(pvec-vec) imag(pvec-vec)]; in=inpolygon(testpt(:,1),testpt(:,2), nd(:,idx(1)),nd(:,idx(2))); p=testpt(find(in>0),:); p([bf,idx(1),idx(2)])=[nd(1,bf),p]; end if(length(p)==0|length(p)==2) error('fail to find an internal point of curve'); end octave-iso2mesh-1.9.6+ds/ndgaussian.m0000644001356000007640000000212513724766530016444 0ustar fangqadminfunction h=ndgaussian(r, sigma, ndim) % % h=ndgaussian(r, sigma, ndim) % % create an ND Gaussian or box filter kernel matrix % % author: Qianqian Fang (q.fang at neu.edu) % % input: % r: kernel half-width, the output is 2*r+1 in each dimension; if % missing, use 1 % sigma: the standard deviation of the Gaussian; if not given, use 1; if % set to inf, output box filter % ndim: an integer for the output dimension; if not given, use 3 % % output: % h: an ndim-dimensional matrix % % -- this function is part of the Iso2Mesh Toolbox (http://iso2mesh.sf.net) % License: GPL v3 or later, see LICENSE.txt for details % if(nargin<3) ndim=3; if(nargin<2) sigma=1; if(nargin==0) r=1; end end end latt=cell(ndim,1); if(isinf(sigma)) % ND box filter if(ndim==1) h=ones(1,(2*r+1)); else h=ones((2*r+1)*ones(1,ndim)); end return; end [latt{:}]=meshgrid(-r:r); latt=cellfun(@(x) x.*x, latt,'uniformoutput',false); h=exp(-(sum(cat(ndims(latt{1})+1,latt{:}),ndims(latt{1})+1))./(2*sigma*sigma)); h=h./(sum(h(:)));octave-iso2mesh-1.9.6+ds/getintersecttri.m0000644001356000007640000000156413724766530017535 0ustar fangqadminfunction eid=getintersecttri(tmppath) % % eid=getintersecttri(tmppath) % % get the IDs of self-intersecting elements from tetgen % call this when tetgen complains about self-intersection % % author: Qianqian Fang, % % input: % tmppath: working dir, use mwpath('') in most cases % % output: % eid: an array of all intersecting surface elements, % one can read the corresponding node/elem by % [no,el]=readoff(mwpath('post_vmesh.off')); % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % exesuff=getexeext; exesuff=fallbackexeext(exesuff,'tetgen'); [status,str] = system(['"' mcpath('tetgen') exesuff '" -d "' ... tmppath 'post_vmesh.poly"']) eid=[]; if(status==0) id=regexp(str, ' #([0-9]+) ', 'tokens'); for j=1:length(id) eid(end+1)=str2num(id{j}{1}); end end eid=unique(eid); octave-iso2mesh-1.9.6+ds/finddisconnsurf.m0000644001356000007640000000146713724766530017516 0ustar fangqadminfunction facecell=finddisconnsurf(f) % % facecell=finddisconnsurf(f) % % subroutine to extract disconnected surfaces from a % cluster of surfaces % % author: Qianqian Fang (q.fang at neu.edu) % Date: 2008/03/06 % % input: % f: faces defined by node indices for all surface triangles % % output: % facecell: separated disconnected surface node indices % % -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net) % facecell={}; subset=[]; while(~isempty(f)) idx=reshape(ismember(f,f(1,:)), size(f)); ii=find(sum(idx,2)); while(~isempty(ii)) if(isempty(ii)) break; end %ii=unique(ii); subset(end+1:end+length(ii),:)=f(ii,:); f(ii,:)=[]; idx=reshape(ismember(f,subset), size(f)); ii=find(sum(idx,2)); end if(~isempty(subset)) facecell{end+1}=subset; subset=[]; end end