sketch-0.3.7/0040755000076400010400000000000011722043474015575 5ustar freddieresslerAdministratorssketch-0.3.7/bsp.c0100644000076400010400000007522511722043474016535 0ustar freddieresslerAdministrators/* bsp.c Copyright (C) 2005,2006,2007,2008 Eugene K. Ressler, Jr. This file is part of Sketch, a small, simple system for making 3d drawings with LaTeX and the PSTricks or TikZ package. Sketch 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, or (at your option) any later version. Sketch 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 Sketch; see the file COPYING.txt. If not, see http://www.gnu.org/copyleft */ #include #include "bsp.h" #include "geomio.h" DECLARE_DYNAMIC_ARRAY_FUNCS(BSP_POLYGON_ATTR, BSP_VERTEX_ATTR, polygon_attr, elt, n_elts, NO_OTHER_INIT); // ---- polylines -------------------------------------------------------------- static BSP_POLYLINE_NODE *new_bsp_polyline_node(void *attr) { BSP_POLYLINE_NODE *n = safe_malloc(sizeof *n); n->tag = BSP_POLYLINE; n->attr = attr; n->prev = n->next = n->mark = n->in = n->on = n->out = NULL; n->first_p = n->last_p = 0; init_box_3d(n->extent); init_polyline_3d(n->polyline); return n; } static void delete_bsp_polyline_node(BSP_POLYLINE_NODE * node) { clear_polyline_3d(node->polyline); safe_free(node); } static void set_bsp_polyline_extent(BSP_POLYLINE_NODE * node) { // set extent init_box_3d(node->extent); fold_min_max_polyline_3d(node->extent, node->polyline); } static void init_bsp_polyline(BSP_POLYLINE_NODE * node, POLYLINE_3D * polyline) { // initial polyline contains first and last points; split ones don't node->first_p = node->last_p = 1; copy_polyline_3d(node->polyline, polyline); set_bsp_polyline_extent(node); } static void split_polyline_with_plane(BSP_POLYLINE_NODE * node, PLANE * plane, BSP_POLYLINE_NODE ** in_nodes, BSP_POLYLINE_NODE ** on_nodes, BSP_POLYLINE_NODE ** out_nodes) { int i, j, i_side, current_side; BSP_POLYLINE_NODE *current, **list; VECTOR_3D v, dp; POINT_3D isect; FLOAT t; // initialize all the output lists to empty *in_nodes = *on_nodes = *out_nodes = NULL; // initialize the current polyline that's being "built", copying attributes // of the original current = new_bsp_polyline_node(node->attr); // copy source polygon's first_ attribute current->first_p = node->first_p; // j is the trail index as we step through vertices with head i j = 0; // copy first vertex of polyline onto current output polyline copy_pt_3d(pushed_polyline_3d_v(current->polyline), node->polyline->v[j]); // find side of cutting plane that first vertex is on. current_side = (S_IN | S_ON | S_OUT) & pt_side_of_plane(plane, node->polyline->v[j]); // loop through all directed segments j->i for (i = 1; i < node->polyline->n_vertices; j = i++) { i_side = (S_IN | S_ON | S_OUT) & pt_side_of_plane(plane, node->polyline->v[i]); #define HASH(Current, I) ((Current << 3) | I) switch (HASH(current_side, i_side)) { case HASH(S_OUT, S_IN): case HASH(S_IN, S_OUT): // vertices straddle the plane; compute the intersection sub_pts_3d(v, node->polyline->v[i], node->polyline->v[j]); // direction vector sub_pts_3d(dp, plane->p, node->polyline->v[j]); // P - L t = dot_3d(dp, plane->n) / dot_3d(v, plane->n); // parameter of intersect add_scaled_vec_to_pt_3d(isect, node->polyline->v[j], v, t); // intersect // finish current polyline and add to current list copy_pt_3d(pushed_polyline_3d_v(current->polyline), isect); set_bsp_polyline_extent(current); list = current_side == S_IN ? in_nodes : out_nodes; current->in = (BSP_NODE *) * list; *list = current; // start a new one by adding the isect and new point current = new_bsp_polyline_node(node->attr); copy_pt_3d(pushed_polyline_3d_v(current->polyline), isect); copy_pt_3d(pushed_polyline_3d_v(current->polyline), node->polyline->v[i]); current_side = i_side; break; case HASH(S_OUT, S_ON): case HASH(S_IN, S_ON): // line that was away from the plane joins it; // finish current polyline and add to current list copy_pt_3d(pushed_polyline_3d_v(current->polyline), node->polyline->v[i]); set_bsp_polyline_extent(current); list = current_side == S_IN ? in_nodes : out_nodes; current->in = (BSP_NODE *) * list; *list = current; // start a new one if there are still vertices left to process if (i < node->polyline->n_vertices - 1) { current = new_bsp_polyline_node(node->attr); copy_pt_3d(pushed_polyline_3d_v(current->polyline), node->polyline->v[i]); current_side = S_ON; } else { // copy last_p attribute from source current->last_p = node->last_p; current = NULL; current_side = 0; } break; case HASH(S_ON, S_OUT): case HASH(S_ON, S_IN): // line that was on the plane springs away from it; // if there is more than one point in the current polyline, // complete it and start a new one if (current->polyline->n_vertices > 1) { FLOAT *last_vertex = current->polyline->v[current->polyline->n_vertices - 1]; //remember last vertex set_bsp_polyline_extent(current); current->in = (BSP_NODE *) * on_nodes; *on_nodes = current; current = new_bsp_polyline_node(node->attr); copy_pt_3d(pushed_polyline_3d_v(current->polyline), last_vertex); } // add the new vertex to the current polyline copy_pt_3d(pushed_polyline_3d_v(current->polyline), node->polyline->v[i]); current_side = i_side; // now either in or out break; default: // nothing has changed, so just add the new point // to the ccurrent polygon copy_pt_3d(pushed_polyline_3d_v(current->polyline), node->polyline->v[i]); break; } } // finish the final polyline if (current) { // copy last_p attribute from source current->last_p = node->last_p; set_bsp_polyline_extent(current); list = (current_side & S_IN) ? in_nodes : (current_side & S_OUT) ? out_nodes : on_nodes; current->in = (BSP_NODE *) * list; *list = current; } } static void insert_polyline(BSP_TREE * bsp, BSP_POLYLINE_NODE * node) { if (*bsp == NULL) { *bsp = (BSP_NODE *) node; } else if ((*bsp)->tag == BSP_POLYLINE) { BSP_POLYLINE_NODE *bsp_node = (BSP_POLYLINE_NODE *) * bsp; #ifdef EXPERIMENTAL_OPTIMIZATION node->in = bsp_node; *bsp = (BSP_NODE *) node; #else insert_polyline((BSP_TREE *) & bsp_node->in, node); #endif } else { // BSP_POLYGON BSP_POLYGON_NODE *bsp_node = (BSP_POLYGON_NODE *) * bsp; int side = polyline_side_of_plane(node->polyline, bsp_node->plane); if (side == S_IN) insert_polyline(&bsp_node->in, node); else if (side == S_ON) insert_polyline(&bsp_node->on, node); else if (side == S_OUT) insert_polyline(&bsp_node->out, node); else { // S_SPLIT BSP_POLYLINE_NODE *in_polylines, *on_polylines, *out_polylines, *p, *p_next; split_polyline_with_plane(node, bsp_node->plane, &in_polylines, &on_polylines, &out_polylines); // remove polylines from lists and add to respective bsp subtrees recursively for (p = in_polylines; p; p = p_next) { p_next = (BSP_POLYLINE_NODE *) p->in; p->in = NULL; insert_polyline(&bsp_node->in, p); } for (p = on_polylines; p; p = p_next) { p_next = (BSP_POLYLINE_NODE *) p->in; p->in = NULL; insert_polyline(&bsp_node->on, p); } for (p = out_polylines; p; p = p_next) { p_next = (BSP_POLYLINE_NODE *) p->in; p->in = NULL; insert_polyline(&bsp_node->out, p); } delete_bsp_polyline_node(node); } } } void add_polyline_to_bsp(BSP_TREE * bsp, POLYLINE_3D * polyline, void *attr) { BSP_POLYLINE_NODE *node = new_bsp_polyline_node(attr); init_bsp_polyline(node, polyline); insert_polyline(bsp, node); } // ---- polygons --------------------------------------------------------------- static BSP_POLYGON_NODE *new_bsp_polygon_node(void *attr) { BSP_POLYGON_NODE *n = safe_malloc(sizeof *n); n->tag = BSP_POLYGON; n->attr = attr; n->prev = n->next = n->mark = n->in = n->on = n->out = NULL; init_box_3d(n->extent); init_polygon_3d(n->polygon); init_polygon_attr(n->polygon_attr); return n; } static void set_bsp_polygon_extent(BSP_POLYGON_NODE * node) { // set extent init_box_3d(node->extent); fold_min_max_polygon_3d(node->extent, node->polygon); } static void init_bsp_polygon_node(BSP_POLYGON_NODE * node, POLYGON_3D * polygon) { int i; // fill in the polygon verticies copy_polygon_3d(node->polygon, polygon); // fill in the plane find_polygon_plane(node->plane, polygon); // mark all edges as border edges setup_polygon_attr(node->polygon_attr, polygon->n_sides); for (i = 0; i < polygon->n_sides; i++) node->polygon_attr->elt[i].border_p = 1; node->polygon_attr->n_elts = polygon->n_sides; // fill in the extent set_bsp_polygon_extent(node); } static void delete_bsp_polygon_node(BSP_POLYGON_NODE * node) { clear_polygon_3d(node->polygon); clear_polygon_attr(node->polygon_attr); safe_free(node); } // decide whether a j->i edge of the the new polygon that has // been split from parent is part of the border. static int is_new_border_p(BSP_VERTEX_ATTR * i_attr, BSP_VERTEX_ATTR * j_attr, BSP_POLYGON_ATTR * parent_attr, int parent_n_sides) { int parent_is_border_p; if (parent_attr->n_elts != parent_n_sides) die(no_line, "failed assumption on attribute size"); parent_is_border_p = parent_attr->elt[j_attr->parent_vtx].border_p; if (!parent_is_border_p) return 0; if (i_attr->cut_p) { if (j_attr->cut_p) { return 0; } else { return i_attr->parent_vtx == j_attr->parent_vtx; } } return (i_attr->parent_vtx - j_attr->parent_vtx + parent_n_sides) % parent_n_sides == 1; } static void decide_boundaries(BSP_POLYGON_NODE * new_node, BSP_POLYGON_NODE * node) { int i, j, last_border_p; i = 0; j = new_node->polygon->n_sides - 1; last_border_p = is_new_border_p(&new_node->polygon_attr->elt[i], &new_node->polygon_attr->elt[j], node->polygon_attr, node->polygon->n_sides); for (j = i++; i < new_node->polygon->n_sides; j = i++) { new_node->polygon_attr->elt[j].border_p = is_new_border_p(&new_node->polygon_attr->elt[i], &new_node->polygon_attr->elt[j], node->polygon_attr, node->polygon->n_sides); } new_node->polygon_attr->elt[j].border_p = last_border_p; } static void push_polygon_attr(BSP_POLYGON_NODE * node, int parent_vtx, int cut_p) { BSP_VERTEX_ATTR *vertex_attr = pushed_polygon_attr_elt(node->polygon_attr); vertex_attr->border_p = 0; vertex_attr->parent_vtx = parent_vtx; vertex_attr->cut_p = cut_p; } static void split_polygon_with_plane(BSP_POLYGON_NODE * node, PLANE * plane, BSP_POLYGON_NODE * in_node, BSP_POLYGON_NODE * out_node) { int i, j, i_side, j_side; VECTOR_3D v, dp; POINT_3D isect; FLOAT t; // reset fill pointers in_node->polygon->n_sides = out_node->polygon->n_sides = 0; in_node->polygon_attr->n_elts = out_node->polygon_attr->n_elts = 0; // process all pairs of vertices j = node->polygon->n_sides - 1; i_side = pt_side_of_plane(plane, node->polygon->v[j]); for (i = 0; i < node->polygon->n_sides; j = i++) { j_side = i_side; i_side = pt_side_of_plane(plane, node->polygon->v[i]); if ((i_side | j_side) == (S_IN | S_OUT)) { // the two most recent points straddle the the plane // compute the intersection sub_pts_3d(v, node->polygon->v[i], node->polygon->v[j]); // direction vector sub_pts_3d(dp, plane->p, node->polygon->v[j]); // P - L t = dot_3d(dp, plane->n) / dot_3d(v, plane->n); // parameter of intersect add_scaled_vec_to_pt_3d(isect, node->polygon->v[j], v, t); // intersect // put intersect in both polygons copy_pt_3d(pushed_polygon_3d_v(in_node->polygon), isect); copy_pt_3d(pushed_polygon_3d_v(out_node->polygon), isect); if (i_side == S_IN) { // edge traversed from outside to in push_polygon_attr(out_node, j, 1); push_polygon_attr(in_node, j, 1); copy_pt_3d(pushed_polygon_3d_v(in_node->polygon), node->polygon->v[i]); push_polygon_attr(in_node, i, 0); } else { // edge traversed from inside to out push_polygon_attr(out_node, j, 1); push_polygon_attr(in_node, j, 1); copy_pt_3d(pushed_polygon_3d_v(out_node->polygon), node->polygon->v[i]); push_polygon_attr(out_node, i, 0);; } } else if (i_side & S_ON) { // the current vertex is on the plane // put it in both polygons copy_pt_3d(pushed_polygon_3d_v(in_node->polygon), node->polygon->v[i]); copy_pt_3d(pushed_polygon_3d_v(out_node->polygon), node->polygon->v[i]); push_polygon_attr(in_node, i, 0); push_polygon_attr(out_node, i, 0); } else { // the new vertex is not straddling nor on the plane // so we output it to the correct polygon if (i_side == S_IN) { copy_pt_3d(pushed_polygon_3d_v(in_node->polygon), node->polygon->v[i]); push_polygon_attr(in_node, i, 0); } else { copy_pt_3d(pushed_polygon_3d_v(out_node->polygon), node->polygon->v[i]); push_polygon_attr(out_node, i, 0); } } } // fill in the planes find_polygon_plane(in_node->plane, in_node->polygon); find_polygon_plane(out_node->plane, out_node->polygon); // set up extents set_bsp_polygon_extent(in_node); set_bsp_polygon_extent(out_node); // make a pass around the in and out polygons to fill in boundardy_p decide_boundaries(in_node, node); decide_boundaries(out_node, node); } static void insert_polygon(BSP_TREE * bsp, BSP_POLYGON_NODE * node) { if (*bsp == NULL) *bsp = (BSP_NODE *) node; else { BSP_POLYGON_NODE *bsp_node = (BSP_POLYGON_NODE *) * bsp; int side = polygon_side_of_plane(node->polygon, bsp_node->plane); if (side & (S_IN | S_ON)) insert_polygon(&bsp_node->in, node); else if (side == S_OUT) insert_polygon(&bsp_node->out, node); else { BSP_POLYGON_NODE *in_node = new_bsp_polygon_node(node->attr); BSP_POLYGON_NODE *out_node = new_bsp_polygon_node(node->attr); split_polygon_with_plane(node, bsp_node->plane, in_node, out_node); insert_polygon(&bsp_node->in, in_node); insert_polygon(&bsp_node->out, out_node); delete_bsp_polygon_node(node); } } } void add_polygon_to_bsp(BSP_TREE * bsp, POLYGON_3D * polygon, void *attr) { BSP_POLYGON_NODE *node = new_bsp_polygon_node(attr); init_bsp_polygon_node(node, polygon); insert_polygon(bsp, node); } static struct { BSP_NODE_FUNC func; void *env; } traverse_closure[1]; static void walk_bsp(BSP_NODE * bsp) { if (bsp == NULL) return; if (bsp->tag == BSP_POLYGON) { BSP_POLYGON_NODE *node = (BSP_POLYGON_NODE *) bsp; if (node->plane->n[Z] < 0) { walk_bsp(node->out); traverse_closure->func(bsp, traverse_closure->env); walk_bsp(node->on); walk_bsp(node->in); } else { walk_bsp(node->in); traverse_closure->func(bsp, traverse_closure->env); walk_bsp(node->on); walk_bsp(node->out); } } else { // BSP_POLYLINE BSP_POLYLINE_NODE *node = (BSP_POLYLINE_NODE *) bsp; traverse_closure->func(bsp, traverse_closure->env); walk_bsp((BSP_NODE *) node->in); } } void traverse_bsp(BSP_NODE * bsp, BSP_NODE_FUNC func, void *env) { traverse_closure->func = func; traverse_closure->env = env; walk_bsp(bsp); } void traverse_depth_sort(BSP_NODE * bsp, BSP_NODE_FUNC func, void *env) { traverse_closure->func = func; traverse_closure->env = env; for (; bsp; bsp = bsp->next) walk_bsp(bsp); } static void indent(FILE * f, int n) { while (n-- > 0) fprintf(f, " "); } static void print_bsp_internal(FILE * f, BSP_NODE * bsp, int n) { if (bsp == NULL) return; indent(f, 2 * n); if (bsp->tag == BSP_POLYGON) { BSP_POLYGON_NODE *node = (BSP_POLYGON_NODE *) bsp; fprintf(f, "BSPpolygon\n"); indent(f, 2 * n + 1); print_plane(f, node->plane); indent(f, 2 * n + 1); print_polygon_3d(f, node->polygon); indent(f, 2 * n + 1); fprintf(f, "in\n"); print_bsp_internal(f, node->in, n + 1); indent(f, 2 * n + 1); fprintf(f, "on\n"); print_bsp_internal(f, node->on, n + 1); indent(f, 2 * n + 1); fprintf(f, "out\n"); print_bsp_internal(f, node->out, n + 1); } else { // BSP_POLYLINE BSP_POLYLINE_NODE *node = (BSP_POLYLINE_NODE *) bsp; fprintf(f, "BSPpolyline "); print_polyline_3d(f, node->polyline); print_bsp_internal(f, (BSP_NODE *) node->in, n); } } void print_bsp(FILE * f, BSP_NODE * bsp) { print_bsp_internal(f, bsp, 0); } void add_polygon_to_sort(BSP_TREE * bsp, POLYGON_3D * polygon, void *attr) { BSP_POLYGON_NODE *node = new_bsp_polygon_node(attr); init_bsp_polygon_node(node, polygon); node->next = *bsp; *bsp = (BSP_NODE *) node; } void add_polyline_to_sort(BSP_TREE * bsp, POLYLINE_3D * polyline, void *attr) { BSP_POLYLINE_NODE *node = new_bsp_polyline_node(attr); init_bsp_polyline(node, polyline); node->next = *bsp; *bsp = (BSP_NODE *) node; } // quicksort of linked list #define FAR_DEPTH(Node) (-(Node)->extent->min[Z]) #define NEAR_DEPTH(Node) (-(Node)->extent->max[Z]) // leq provides ascending sort, so reverse to get max depth at head of list #define LEQ(A,B) (FAR_DEPTH(A) >= FAR_DEPTH(B)) static void qs(BSP_NODE * hd, BSP_NODE * tl, BSP_NODE ** rtn) { int nlo, nhi; BSP_NODE *lo, *hi, *q, *p; /* Invariant: Return head sorted with `tl' appended. */ while (hd != NULL) { nlo = nhi = 0; lo = hi = NULL; q = hd; p = hd->next; /* Reverse ascending prefix onto hi. This gives O(n) behavior on sorted and reverse-sorted inputs. */ while (p != NULL && LEQ(p, hd)) { hd->next = hi; hi = hd; ++nhi; hd = p; p = p->next; } /* If entire list was ascending, we're done. */ if (p == NULL) { *rtn = hd; hd->next = hi; q->next = tl; return; } /* Partition and count sizes. */ while (p != NULL) { q = p->next; if (LEQ(p, hd)) { p->next = lo; lo = p; ++nlo; } else { p->next = hi; hi = p; ++nhi; } p = q; } /* Recur to establish invariant for sublists of hd, choosing shortest list first to limit stack. */ if (nlo < nhi) { qs(lo, hd, rtn); rtn = &hd->next; hd = hi; /* Eliminated tail-recursive call. */ } else { qs(hi, tl, &hd->next); tl = hd; hd = lo; /* Eliminated tail-recursive call. */ } } /* Base case of recurrence. Invariant is easy here. */ *rtn = tl; } static int xy_intersect_p(BOX_3D * a, BOX_3D * b) { if (a->max[X] < b->min[X]) // a left of b return 0; if (a->min[X] > b->max[X]) // a right of b return 0; if (a->max[Y] < b->min[Y]) // a below b return 0; if (a->min[Y] > b->max[Y]) // a above b return 0; return 1; } #define SHORTEST_ALLOWABLE_SIDE 1e-4 static void make_polygon_projection(POLYGON_2D * projection, BSP_POLYGON_NODE * polygon_node) { int i, j; clear_polygon_2d(projection); if (polygon_node->plane->n[Z] >= 0) { for (i = 0, j = polygon_node->polygon->n_sides - 1; i < polygon_node->polygon->n_sides; j = i++) { if (dist_2d (polygon_node->polygon->v[i], polygon_node->polygon->v[j]) > SHORTEST_ALLOWABLE_SIDE) copy_pt_2d(pushed_polygon_2d_v(projection), polygon_node->polygon->v[i]); } } else { for (i = polygon_node->polygon->n_sides - 1, j = 0; i >= 0; j = i--) { if (dist_2d (polygon_node->polygon->v[i], polygon_node->polygon->v[j]) > SHORTEST_ALLOWABLE_SIDE) copy_pt_2d(pushed_polygon_2d_v(projection), polygon_node->polygon->v[i]); } } } #define OVERLAP_EPS 1e-3 int projections_overlap_p(BSP_POLYGON_NODE * p, BSP_POLYGON_NODE * q) { int r; POLYGON_2D p_projection[1], q_projection[1], cso[1]; init_polygon_2d(p_projection); init_polygon_2d(q_projection); init_polygon_2d(cso); make_polygon_projection(p_projection, p); make_polygon_projection(q_projection, q); if (p_projection->n_sides < 2 && q_projection->n_sides < 2) { r = 0; } else if (p_projection->n_sides < 2) { r = point_near_convex_polygon_2d_p(p->polygon->v[0], q_projection, OVERLAP_EPS); } else if (q_projection->n_sides < 2) { r = point_near_convex_polygon_2d_p(q->polygon->v[0], p_projection, OVERLAP_EPS); } else { make_cso_polygon_2d(cso, p_projection, origin_2d, q_projection); r = point_near_convex_polygon_2d_p(origin_2d, cso, OVERLAP_EPS); } clear_polygon_2d(p_projection); clear_polygon_2d(q_projection); clear_polygon_2d(cso); return r; } #define OVERLAP_TOLERANCE 1e-3 int polyline_projection_overlaps_polygon(BSP_POLYLINE_NODE * polyline_node, BSP_POLYGON_NODE * polygon_node) { int i, r; POLYGON_2D polygon_projection[1], line_seg_projection[1], cso[1]; init_polygon_2d(polygon_projection); init_polygon_2d(line_seg_projection); init_polygon_2d(cso); make_polygon_projection(polygon_projection, polygon_node); if (polygon_projection->n_sides < 2) { // a point can't obscure a line r = 0; } else if (polyline_node->polyline->n_vertices == 1) { // polyline is single vertex; just check to see if it lies in projection r = point_near_convex_polygon_2d_p(polyline_node->polyline->v[0], polygon_projection, OVERLAP_TOLERANCE); } else { // use a two-sided polygon to model each edge; setup_polygon_2d(line_seg_projection, 2); line_seg_projection->n_sides = 2; r = 0; for (i = 0; i < polyline_node->polyline->n_vertices - 1; i++) { copy_pt_2d(line_seg_projection->v[0], polyline_node->polyline->v[i]); copy_pt_2d(line_seg_projection->v[1], polyline_node->polyline->v[i + 1]); make_cso_polygon_2d(cso, line_seg_projection, origin_2d, polygon_projection); r |= point_near_convex_polygon_2d_p(origin_2d, cso, OVERLAP_TOLERANCE); if (r) break; } } clear_polygon_2d(polygon_projection); clear_polygon_2d(line_seg_projection); clear_polygon_2d(cso); return r; } static void debug_print(BSP_NODE * p) { fprintf(stderr, "\nlist:\n"); while (p) { fprintf(stderr, " %p:%sprev=%p near=%.4g far=%.4g\n", p, p->mark ? "*" : " ", p->prev, NEAR_DEPTH(p), FAR_DEPTH(p)); p = p->next; } } typedef struct make_list_of_bsp_env_t { BSP_NODE *head, *tail; int n; } MAKE_LIST_OF_BSP_ENV; static void make_list_of_bsp(BSP_NODE * bsp, void *v_env) { MAKE_LIST_OF_BSP_ENV *env = (MAKE_LIST_OF_BSP_ENV *) v_env; if (env->tail) { env->tail->next = bsp; bsp->prev = env->tail; bsp->next = NULL; env->tail = bsp; } else { env->head = env->tail = bsp; } ++env->n; } // check invariants in the depth sort list static void check_consistency(BSP_TREE hd) { int n_marks, n_other; BSP_NODE *p, *q; n_marks = 0; for (q = NULL, p = hd; p && p->mark; q = p, p = p->next) { n_marks++; if (p->prev != q) { debug_print(hd); die(no_line, "broken prev pointer @ %d (%p != %p)", n_marks, p->prev, q); } if (p->extent->min[X] == 0 && p->extent->max[X] == 0 && p->extent->min[Y] == 0 && p->extent->max[Y] == 0 && p->extent->min[Z] == 0 && p->extent->max[Z] == 0) die(no_line, "unset extent"); } n_other = 0; for (; p; q = p, p = p->next) { n_other++; if (p->mark) die(no_line, "unexpected mark"); if (p->prev != q) { debug_print(hd); die(no_line, "broken prev pointer @ %d (%p != %p)", n_marks + n_other, p->prev, q); } if (p->extent->min[X] > p->extent->max[X]) die(no_line, "unset extent"); if (q && !q->mark && FAR_DEPTH(p) > FAR_DEPTH(q)) { debug_print(hd); die(no_line, "far depth out of order @ %d", n_marks + n_other); } } } void insert_by_depth(BSP_TREE * hd, BSP_NODE * node) { BSP_NODE *p, *q; // place p after insert point and q before for (q = NULL, p = *hd; p && (p->mark || FAR_DEPTH(p) > FAR_DEPTH(node)); q = p, p = p->next) /* skip */ ; // insert node->prev = q; node->next = p; if (q) q->next = node; else *hd = node; if (p) p->prev = node; } // this is taken almost directly from Newell's 1972 paper except that // a BSP is used to resolve intersections and cyclic overlaps and it // incorporates polyline objects void sort_by_depth(BSP_TREE * bsp) { int side, n_probes, n_swaps, n_nodes, n_bsps, n_in, n_out, n_ppos, n_plos, n_bsp_in_nodes, n_bsp_out_nodes; BSP_NODE *p, *p_next, *q, *prev, *t, *t_next, *r; BSP_POLYGON_NODE *polygon_node; BSP_POLYLINE_NODE *polyline_node; PLANE *plane; BSP_TREE sub_bsp; MAKE_LIST_OF_BSP_ENV env[1]; // quicksort on deepest vertex, back-to-front qs(*bsp, NULL, &p); // hook up prev pointers and make sure marks are clear n_nodes = 0; for (prev = NULL, q = p; q; prev = q, q = q->next) { q->prev = prev; q->mark = NULL; ++n_nodes; } // keep some stats just for fun n_probes = n_swaps = n_bsps = n_bsp_in_nodes = n_bsp_out_nodes = n_ppos = n_plos = 0; // debug_print(p); // this is now output list r = NULL; // goto here whenever the current check fails // for "p", the hopeful deepest polygon restart_overlap_check: while (p) { if (n_nodes < 1000) check_consistency(p); // check overlapping objects for necessary swaps. for (q = p->next; q && (q->mark || FAR_DEPTH(q) > NEAR_DEPTH(p)); q = q->next) { ++n_probes; // rectangular x-y extents don't overlap, so a moo point (utterly meaningless) if (!xy_intersect_p(p->extent, q->extent)) continue; // two polylines don't matter // DEBUG: it really does if they're different colors if (p->tag == BSP_POLYLINE && q->tag == BSP_POLYLINE) continue; // two polygons if (p->tag == BSP_POLYGON && q->tag == BSP_POLYGON) { // p is contained wholly in the back halfspace of q polygon_node = (BSP_POLYGON_NODE *) p; plane = ((BSP_POLYGON_NODE *) q)->plane; side = polygon_side_of_plane(polygon_node->polygon, plane); if (side == S_ON || (plane->n[Z] >= 0 && side == S_IN) || (plane->n[Z] <= 0 && side == S_OUT)) continue; // q is contained wholly in the front halfspace of p polygon_node = (BSP_POLYGON_NODE *) q; plane = ((BSP_POLYGON_NODE *) p)->plane; side = polygon_side_of_plane(polygon_node->polygon, plane); if (side == S_ON || (plane->n[Z] >= 0 && side == S_OUT) || (plane->n[Z] <= 0 && side == S_IN)) continue; // projections do not overlap ++n_ppos; if (!projections_overlap_p ((BSP_POLYGON_NODE *) p, (BSP_POLYGON_NODE *) q)) continue; } if (p->tag == BSP_POLYLINE) { // and q is a polygon polyline_node = (BSP_POLYLINE_NODE *) p; plane = ((BSP_POLYGON_NODE *) q)->plane; side = polyline_side_of_plane(polyline_node->polyline, plane); // line is contained wholly in the back halfspace of plane // lines lying on plane should be swapped so plane is drawn first if ((plane->n[Z] >= 0 && side == S_IN) || (plane->n[Z] <= 0 && side == S_OUT)) continue; // projections do not overlap ++n_plos; if (!polyline_projection_overlaps_polygon (polyline_node, (BSP_POLYGON_NODE *) q)) continue; } if (q->tag == BSP_POLYLINE) { // and p is a polygon polyline_node = (BSP_POLYLINE_NODE *) q; plane = ((BSP_POLYGON_NODE *) p)->plane; side = polyline_side_of_plane(polyline_node->polyline, plane); // line is on or contained wholly in the front halfspace of the plane // a line lying on the plane can stay where it is if (side == S_ON || (plane->n[Z] >= 0 && side == S_OUT) || (plane->n[Z] <= 0 && side == S_IN)) continue; // projections do not overlap ++n_plos; if (!polyline_projection_overlaps_polygon (polyline_node, (BSP_POLYGON_NODE *) p)) continue; } if (q->mark) { // we've discovered an intersection or cyclic overlap; break it by // putting all the marked nodes in a bsp, then pulling them // out and inserting them back on the list; remember our bsps // need all polygons inserted before all polylines ++n_bsps; sub_bsp = NULL; n_in = 0; t = NULL; // use t to hold polylines temporarily while (p && p->mark) { p_next = p->next; if (p->tag == BSP_POLYGON) { p->next = p->prev = NULL; insert_polygon(&sub_bsp, (BSP_POLYGON_NODE *) p); } else { // save polyline temporarily p->next = t; t = p; } ++n_in; p = p_next; if (p) p->prev = NULL; } // insert the polylines now that all polygons are complete while (t) { t_next = t->next; t->next = t->prev = NULL; insert_polyline(&sub_bsp, (BSP_POLYLINE_NODE *) t); t = t_next; } // now traverse the bsp to get the objects back out, including split ones env->n = 0; env->head = env->tail = NULL; traverse_bsp(sub_bsp, make_list_of_bsp, env); n_out = env->n; // splitting should always increase the number of primitives, but // polygons very close in depth can cause split to fail; just shovel // the result polygons to the output with a warning. if (n_out <= n_in) { warn(no_line, "split failed in=%d, out=%d", n_in, n_out); remark(no_line, "if hidden surfaces are wrong, try -b option"); for (t = env->head; t; t = t_next) { t_next = t->next; t->next = r; t->in = t->out = t->on = t->prev = t->mark = NULL; r = t; } goto restart_overlap_check; } // re-insert in the sorted list for (t = env->head; t; t = t_next) { t_next = t->next; t->in = t->out = t->on = t->prev = t->next = t->mark = NULL; insert_by_depth(&p, t); } n_bsp_in_nodes += n_in; n_bsp_out_nodes += n_out; goto restart_overlap_check; } else { // no overlap, so pull q forward to head of list // unlink q if (q->next) q->next->prev = q->prev; q->prev->next = q->next; // mark q->mark = p; // push q->prev = NULL; q->next = p; p->prev = q; p = q; ++n_swaps; goto restart_overlap_check; } } // overlap check saw no problems; pop head onto return list p_next = p->next; if (p_next) p_next->prev = NULL; // push on output p->next = r; p->prev = NULL; r = p; // move to next item p = p_next; } // pop from q and push onto q until q is empty q = r; r = NULL; while (q) { t = q; q = q->next; // pop t->next = r; r = t; // push } { int n_probes_possible = n_nodes + n_bsp_out_nodes - n_bsp_in_nodes; remark(no_line, "node=%d probe=%.1lf swap=%d split=%d (in=%d out=%d) ols=%d/%d", n_nodes, (n_probes_possible > 0) ? (double) n_probes / n_probes_possible : 0.0, n_swaps, n_bsps, n_bsp_in_nodes, n_bsp_out_nodes, n_ppos, n_plos); } *bsp = r; } sketch-0.3.7/bsp.h0100644000076400010400000000460611722043474016535 0ustar freddieresslerAdministrators/* bsp.h Copyright (C) 2005,2006,2007,2008 Eugene K. Ressler, Jr. This file is part of Sketch, a small, simple system for making 3d drawings with LaTeX and the PSTricks or TikZ package. Sketch 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, or (at your option) any later version. Sketch 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 Sketch; see the file COPYING.txt. If not, see http://www.gnu.org/copyleft */ #ifndef __BSP_H #define __BSP_H #include "geometry.h" typedef enum bsp_node_type_t { BSP_POLYGON, BSP_POLYLINE, } BSP_NODE_TYPE; #define BASE_BSP_NODE_FIELDS \ BSP_NODE_TYPE tag; \ struct bsp_node_t *prev, *next, *mark, *in, *on, *out; \ void *attr; \ BOX_3D extent[1] typedef struct bsp_node_t { BASE_BSP_NODE_FIELDS; } BSP_NODE, *BSP_TREE; typedef struct bsp_vertex_attr_t { int border_p; int parent_vtx; int cut_p; } BSP_VERTEX_ATTR; typedef struct bsp_polygon_attr_t { DYNAMIC_ARRAY_FIELDS(BSP_VERTEX_ATTR, elt, n_elts); } BSP_POLYGON_ATTR; DECLARE_DYNAMIC_ARRAY_PROTOS(BSP_POLYGON_ATTR, BSP_VERTEX_ATTR, polygon_attr, elt, n_elts); typedef struct bsp_polygon_node_t { BASE_BSP_NODE_FIELDS; PLANE plane[1]; POLYGON_3D polygon[1]; BSP_POLYGON_ATTR polygon_attr[1]; // attributes of polygon vertices } BSP_POLYGON_NODE; typedef struct bsp_polyline_node_t { BASE_BSP_NODE_FIELDS; POLYLINE_3D polyline[1]; int first_p, last_p; } BSP_POLYLINE_NODE; void add_polygon_to_bsp(BSP_TREE * bsp, POLYGON_3D * polygon, void *attr); void add_polyline_to_bsp(BSP_TREE * bsp, POLYLINE_3D * polylines, void *attr); typedef void (*BSP_NODE_FUNC) (BSP_NODE * node, void *env); void traverse_bsp(BSP_NODE * bsp, BSP_NODE_FUNC func, void *env); void traverse_depth_sort(BSP_NODE * bsp, BSP_NODE_FUNC func, void *env); void print_bsp(FILE * f, BSP_NODE * bsp); void add_polygon_to_sort(BSP_TREE * bsp, POLYGON_3D * polygon, void *attr); void add_polyline_to_sort(BSP_TREE * bsp, POLYLINE_3D * polyline, void *attr); void sort_by_depth(BSP_TREE * bsp); #endif sketch-0.3.7/cmdline.c0100644000076400010400000001737011722043474017361 0ustar freddieresslerAdministrators/* cmdline.c Copyright (C) 2005,2006,2007,2008 Eugene K. Ressler, Jr. This file is part of Sketch, a small, simple system for making 3d drawings with LaTeX and the PSTricks or TikZ package. Sketch 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, or (at your option) any later version. Sketch 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 Sketch; see the file COPYING.txt. If not, see http://www.gnu.org/copyleft */ #include #include "cmdline.h" #include "emit.h" #include "memutil.h" #include "parse.h" #include "symbol.h" #include "version.h" void usage(int exit_code) { fprintf(stderr, "\n" "sketch [options] file1 [-D tag][-U tag] file2...\n" "-h Print this message to standard error\n" "-v Print version info to standard output\n" "-V x.y Tell Sketch your PSTricks or TikZ version is x.y\n" "-d Debug parser (for developers)\n" "-b Use BSP rather than Painters algorithm for HSR\n" "-T[u|e][p[P|T]] Produce a complete LaTeX document\n" " u U.S. paper size (8.5 x 11 inches) (default)\n" " e European A4 paper size (297 x 210 mm)\n" " p Print document template to stdout\n" " P Print PSTricks version of doc template (default)\n" " T Print TikZ version of doc template\n" " L Print LaTeX version of template (default)\n" " C Print ConTeXt version of template\n" "-t templatefile Load user document template\n" " (any text file with escape %%SKETCH_OUTPUT%%)\n" "-o outfile Put output in outfile (default is stdout)\n" "-D tag Define given tag\n" "-U tag Undefine given tag\n"); exit(exit_code); } static int is_doc_template_file_name(char *s) { return s[0] != '-' || s[1] == '\0'; } // process argv[1..argc-1] to fill in env and prepare it for wrapping void process_global_options(CMD_LINE_OPT_ENV * env, int argc, char **argv, SYMBOL_TABLE * sym_tab) { int i, j; unsigned lang, set; // i = 0 // argc = 0; // argv = NULL; // sym_tab = NULL; // bsp_only_p = false // doc_template_file_name = NULL // out_file_name = NULL // skip_input_p = false // n_files = 0 SET_STRUCT_ZERO(env); env->sym_tab = sym_tab; parse_pst_version(env->pst_version, STRINGIFY(ASSUMED_PST_VERSION), no_line); parse_tikz_version(env->tikz_version, STRINGIFY(ASSUMED_TIKZ_VERSION), no_line); // we'll copy args that need to be processed in order with filenames here. // the convention will be that args with paramaters like -Dfoo will be // separated into -D and foo, so we could end up doubling the number of args. env->argv = safe_malloc(2 * (argc - 1) * sizeof(char *)); for (i = 1; i < argc; i++) { if (argv[i][0] == '-') { switch (argv[i][1]) { case 'b': env->bsp_only_p = 1; break; case 'd': yydebug = 1; break; case 'h': usage(0); break; case 'D': case 'U': env->argv[env->argc++] = argv[i]; if (argv[i][2]) env->argv[env->argc++] = &argv[i][2]; else if (i + 1 < argc) env->argv[env->argc++] = argv[++i]; else err(no_line, "missing tag after %s", argv[i]); break; case 'o': if (env->out_file_name) err(no_line, "only one use of -o is allowed"); if (argv[i][2]) env->out_file_name = &argv[i][2]; else { if (i + 1 < argc) env->out_file_name = &argv[++i][0]; else err(no_line, "missing file name after -o"); } break; case 't': if (argv[i][2]) env->doc_template_file_name = &argv[i][2]; else if (i + 1 < argc && is_doc_template_file_name(argv[i + 1])) env->doc_template_file_name = argv[++i]; else err(no_line, "missing document template file name after -t"); break; case 'T': j = 2; if (argv[i][j] == 'e') { env->doc_template_file_name = standard_euro_doc_template_file_name_flag; ++j; } else if (argv[i][j] == 'u') { env->doc_template_file_name = standard_us_doc_template_file_name_flag; ++j; } else { env->doc_template_file_name = standard_us_doc_template_file_name_flag; } if (argv[i][j] == 'p') { lang = set = 0; for (++j; argv[i][j]; ++j) { switch (argv[i][j]) { case 'P': if (set & GEOL_GRAPHICS_BIT) err(no_line, "-tP with two graphics package specs"); lang |= GEOL_PSTRICKS; set |= GEOL_GRAPHICS_BIT; break; case 'T': if (set & GEOL_GRAPHICS_BIT) err(no_line, "-tP with two graphics package specs"); lang |= GEOL_TIKZ; set |= GEOL_GRAPHICS_BIT; break; case 'L': if (set & GEOL_TEX_MACROS_BIT) err(no_line, "-tP with two macro package specs"); lang |= GEOL_LATEX; set |= GEOL_TEX_MACROS_BIT; break; case 'C': if (set & GEOL_TEX_MACROS_BIT) err(no_line, "-tP with two macro package specs"); lang |= GEOL_CONTEXT; set |= GEOL_TEX_MACROS_BIT; break; default: err(no_line, "unrecognized language spec after -Tp, '%c'", argv[i][j]); } } printf("%% %s document template:\n%s", output_language_str[lang], doc_template_from_file(env-> doc_template_file_name, lang)); env->skip_input_p = 1; } else if (argv[i][j] != '\0') { err(no_line, "unrecognized modifier of option '-T%c'", argv[i][j]); } break; case 'V': if (argv[i][2] != '\0') { parse_pst_version(env->pst_version, &argv[i][2], no_line); parse_tikz_version(env->tikz_version, &argv[i][2], no_line); } else { if (i + 1 < argc) { ++i; parse_pst_version(env->pst_version, &argv[i][0], no_line); parse_tikz_version(env->pst_version, &argv[i][0], no_line); } else { err(no_line, "missing PSTricks or TikZ version after -V"); } } break; case 'v': fprintf(stdout, "%% sketch version %s\n", VER_STRING); fprintf(stdout, "%% assumes PSTricks version %s\n", env->pst_version->str); fprintf(stdout, "%% assumes TikZ version %s\n", env->tikz_version->str); fprintf(stdout, "%% use -V to select earlier versions\n"); env->skip_input_p = 1; break; default: err(no_line, "unrecognized option '%s'", argv[i]); break; } } else { // no leading - ++env->n_files; env->argv[env->argc++] = argv[i]; } } env->argv = safe_realloc(env->argv, env->argc * sizeof(char *)); } // advance the environment initialized above until the next filename // has been found, processing non-global arguments char *advance_to_next_file_name(CMD_LINE_OPT_ENV * env) { for (; env->i < env->argc; env->i++) { if (env->argv[env->i][0] == '-') { switch (env->argv[env->i][1]) { case 'D': ++env->i; (void) new_symbol(env->sym_tab, env->argv[env->i], NULL, new_tag_def(), no_line); break; case 'U': // this will produce an error message if tag doesn't exist ++env->i; if (tag_exists_p(env->sym_tab, env->argv[env->i])) remove_symbol(env->sym_tab, env->argv[env->i], no_line); break; default: die(no_line, "advance_to_next_file_name: unexpected option %c", env->argv[env->i][1]); break; } } else { return env->argv[env->i++]; } } return NULL; } sketch-0.3.7/cmdline.h0100644000076400010400000000374011722043474017362 0ustar freddieresslerAdministrators/* cmdline.h Copyright (C) 2005,2006,2007,2008 Eugene K. Ressler, Jr. This file is part of Sketch, a small, simple system for making 3d drawings with LaTeX and the PSTricks or TikZ package. Sketch 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, or (at your option) any later version. Sketch 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 Sketch; see the file COPYING.txt. If not, see http://www.gnu.org/copyleft */ #ifndef __CMDLINE_H #define __CMDLINE_H #include "langver.h" #include "symbol.h" typedef struct cmd_opt_env_t { int i; // index of opt currently being processed (init zero) int argc; // cmd line param count char **argv; // cmd line params SYMBOL_TABLE *sym_tab; // symbol table int bsp_only_p; // bsp only (default off) char *doc_template_file_name; // document template file name (default NULL) char *out_file_name; // output file name (default NULL for stdout) int skip_input_p; // true for options where processing input makes no sense int n_files; // number of input file names PST_VERSION pst_version[1]; // version of pstricks to generate for output TIKZ_VERSION tikz_version[1]; // version of tikz to generate for output } CMD_LINE_OPT_ENV; void usage(int exit_code); // process argv[1..argc-1] to fill in env and prepare it for wrapping void process_global_options(CMD_LINE_OPT_ENV * env, int argc, char **argv, SYMBOL_TABLE * sym_tab); // advance the environment initialized above until the next filename has been found // return a pointer to the name or NULL if there is none char *advance_to_next_file_name(CMD_LINE_OPT_ENV * env); #endif sketch-0.3.7/COPYING.txt0100644000076400010400000010575511722043474017460 0ustar freddieresslerAdministrators GNU GENERAL PUBLIC LICENSE Version 3, 29 June 2007 Copyright (C) 2007 Free Software Foundation, Inc. Everyone is permitted to copy and distribute verbatim copies of this license document, but changing it is not allowed. Preamble The GNU General Public License is a free, copyleft license for software and other kinds of works. The licenses for most software and other practical works are designed to take away your freedom to share and change the works. By contrast, the GNU General Public License is intended to guarantee your freedom to share and change all versions of a program--to make sure it remains free software for all its users. We, the Free Software Foundation, use the GNU General Public License for most of our software; it applies also to any other work released this way by its authors. You can apply it to your programs, too. When we speak of free software, we are referring to freedom, not price. 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Developers that use the GNU GPL protect your rights with two steps: (1) assert copyright on the software, and (2) offer you this License giving you legal permission to copy, distribute and/or modify it. For the developers' and authors' protection, the GPL clearly explains that there is no warranty for this free software. For both users' and authors' sake, the GPL requires that modified versions be marked as changed, so that their problems will not be attributed erroneously to authors of previous versions. Some devices are designed to deny users access to install or run modified versions of the software inside them, although the manufacturer can do so. This is fundamentally incompatible with the aim of protecting users' freedom to change the software. The systematic pattern of such abuse occurs in the area of products for individuals to use, which is precisely where it is most unacceptable. Therefore, we have designed this version of the GPL to prohibit the practice for those products. 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The hypothetical commands `show w' and `show c' should show the appropriate parts of the General Public License. Of course, your program's commands might be different; for a GUI interface, you would use an "about box". You should also get your employer (if you work as a programmer) or school, if any, to sign a "copyright disclaimer" for the program, if necessary. For more information on this, and how to apply and follow the GNU GPL, see . The GNU 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. But first, please read . sketch-0.3.7/Data/0040755000076400010400000000000011722043474016446 5ustar freddieresslerAdministratorssketch-0.3.7/Data/2tori.sk0100644000076400010400000000131211722043474020036 0ustar freddieresslerAdministrators# origin def O (0,0,0) def s1 [fill=red] def s2 [line width=.2pt,line style=solid] def sweeptorus { def N 80 put { translate([1,0,0]) } { sweep[s1,s2]{N, rotate(360/N, (-1,0,0), [0,1,0]) } { line(0,-1,0)(1,-1,0)(1,1,0)(0,1,0)(0,-1,0) } } } def tori { put { translate([-2.2,0,0]) } {sweeptorus} put { rotate(-30, (O), [0,0,1]) then translate([2.2,.5,0]) } {sweeptorus} } def sceneProjection { put { rotate(20, (O), [0,0,1]) then rotate(30, (O), [1,0,0]) then translate([0,0,-10]) then perspective(7) } {tori} } {sceneProjection} global { language tikz set [line width=.1pt] picturebox (-2,-2)(2,2) frame } sketch-0.3.7/Data/buggy.sk0100644000076400010400000001544511722043474020130 0ustar freddieresslerAdministratorsdef O (0,0,0) def I [1,0,0] def J [0,1,0] def K [0,0,1] def cornerRad 0.1 def tireRad 0.5 def wheelWidth .4 def nArcSegs 3 def nTireSegs 20 def nAxleSegs 6 def axleRad .05 def robotWidth 1.5 def robotLength 2.5 def bodyWidth .5 def bodyHeight .4 def steeringGamma .2 def leftSteeringAngle atan2(2 * robotLength * steeringGamma, 2 - robotWidth * steeringGamma) def rightSteeringAngle atan2(2 * robotLength * steeringGamma, 2 + robotWidth * steeringGamma) def wheelRad tireRad - cornerRad def wheelXofs wheelWidth/2 - cornerRad def rightArc put { translate([ wheelXofs, wheelRad, 0]) } sweep { nArcSegs, rotate(90 / nArcSegs) } (cornerRad,0) def leftArc put { translate([-wheelXofs, wheelRad, 0]) } sweep { nArcSegs, rotate(90 / nArcSegs) } (0,cornerRad) def tread line(wheelXofs, tireRad)(-wheelXofs, tireRad) def hubPlate sweep[fillcolor=lightgray] { nTireSegs<>, rotate(-360 / nTireSegs, (O), [I]) } (0,wheelRad) def tire sweep[fillcolor=lightgray]{ nTireSegs, rotate(360 / nTireSegs, (O), -[I]) } { {leftArc} {rightArc} {tread} } def wheel { def leftHubPlate put { translate( [-wheelWidth/2, 0, 0] ) } {hubPlate} def rightHubPlate put { rotate(180, (O), [K]) } {leftHubPlate} {rightHubPlate} {leftHubPlate} {tire} } def axle sweep[fillcolor=darkgray]{ nAxleSegs, rotate(360 / nAxleSegs, (O), -[I]) } line (robotWidth/2, axleRad)(-robotWidth/2, axleRad) def leftSteerableWheel put { rotate(leftSteeringAngle, (O), [J]) then translate( [-robotWidth/2, 0, 0] ) } {wheel} def rightSteerableWheel put { rotate(rightSteeringAngle, (O), [J]) then translate( [robotWidth/2, 0, 0] ) } {wheel} def steerableAxleAssembly { {leftSteerableWheel} {rightSteerableWheel} {axle} } def fixedAxleAssembly { put { translate( [-robotWidth/2, 0, 0] ) } {wheel} put { translate( [ robotWidth/2, 0, 0] ) } {wheel} {axle} } def bodyopts [fillcolor=white] def bodyCorner # first octant "rounded corner" sweep [bodyopts]{ nArcSegs, rotate(90 / nArcSegs, (O), [I]) } sweep { nArcSegs, rotate(90 / nArcSegs, (O),-[K]) } (0,cornerRad) def zBodyEdge sweep [bodyopts] { 1, translate([K]) } sweep { nArcSegs, rotate(90 / nArcSegs, (O), -[K]) } (0,cornerRad,0) def xBodyEdge # positive y-z quadrant about x axis quarter-pipe of unit length sweep [bodyopts] { 1, translate([I]) } sweep { nArcSegs, rotate(90 / nArcSegs, (O), -[I]) } (0,0,cornerRad) def body { def xOfs bodyWidth/2 - cornerRad def yOfs bodyHeight/2 - cornerRad def zOfs robotLength/2 + cornerRad def posZend { # 4 corners put { translate([ xOfs, yOfs, zOfs]) } {bodyCorner} put { rotate(90, (O), [K]) then translate([-xOfs, yOfs, zOfs]) } {bodyCorner} put { rotate(180, (O), [K]) then translate([-xOfs, -yOfs, zOfs]) } {bodyCorner} put { rotate(270, (O), [K]) then translate([ xOfs, -yOfs, zOfs]) } {bodyCorner} # 4 edges put { scale([2*xOfs, 1, 1]) then translate([-xOfs, yOfs, zOfs]) } {xBodyEdge} put { scale([2*yOfs, 1, 1]) then rotate(90, (O), [K]) then translate([-xOfs,-yOfs, zOfs]) } {xBodyEdge} put { scale([2*xOfs, 1, 1]) then rotate(180, (O), [K]) then translate([ xOfs,-yOfs, zOfs]) } {xBodyEdge} put { scale([2*yOfs, 1, 1]) then rotate(270, (O), [K]) then translate([ xOfs, yOfs, zOfs]) } {xBodyEdge} def z zOfs + cornerRad polygon[bodyopts](xOfs,yOfs,z)(-xOfs,yOfs,z)(-xOfs,-yOfs,z)(xOfs,-yOfs,z) } def top { put { scale([1,1,2*zOfs]) then translate([xOfs, yOfs, -zOfs]) } {zBodyEdge} put { scale([1,1,2*zOfs]) then rotate(90) then translate([-xOfs, yOfs, -zOfs]) } {zBodyEdge} def y bodyHeight/2 polygon[bodyopts](xOfs,y,zOfs)(xOfs,y,-zOfs)(-xOfs,y,-zOfs)(-xOfs,y,zOfs) } def posXside { def x bodyWidth/2 polygon[bodyopts](x,yOfs,zOfs)(x,-yOfs,zOfs)(x,-yOfs,-zOfs)(x,yOfs,-zOfs) } # ends of the body {posZend} put { rotate(180, (O), [I]) } {posZend} {top} {posXside} # bottom and negative X side put { rotate(180) } { {top} {posXside} } } def robot { {fixedAxleAssembly} put { translate([0, 0, -robotLength]) } {steerableAxleAssembly} put { translate([0, 0, -robotLength/2]) } {body} } def centerXform translate(robotLength/2 * [K]) then rotate(90, (O), [J]) def winWidth 0.6 1.5 <> 1 def foreshorteningFactor .3 30 <> 1 # base def pai 8 def panAngle -pai -pai -pai pai 0 -pai pai pai pai <> 0 def panAxis [-1,-1,0] [-1,0,0] [-1,1,0] [0,1,0] [0,1,0] [0,1,0] [-1,1,0] [-1,0,0] [-1,-1,0] <> [0,1,0] def eyeAxis [10,7,10] def eyeI (O) + .5 * foreshorteningFactor * [eyeAxis] def dvI (O) - (eyeI) def upRot -20 20 <> 0 def up [0,1,0] then rotate(upRot, (O), -[eyeAxis]) def viewXformI view ((eyeI), [dvI], [up]) then rotate(-panAngle, (O), [panAxis]) then perspective(|[dvI]|) then scale(1.5/winWidth) then scale([1,1,1000]) <> view ((eyeI), [dvI], [up]) then rotate(-panAngle, (O), [panAxis]) then perspective(|[dvI]|) then scale(1.5/winWidth) def dashframe { line[linestyle=dashed](-1,-1, 1)( 1,-1, 1)(1,1, 1)(-1,1, 1)(-1,-1, 1) line[linestyle=dashed](-1,-1,-1)( 1,-1,-1)(1,1,-1)(-1,1,-1)(-1,-1,-1) line[linestyle=dashed](-1,-1, 1)(-1,-1,-1) line[linestyle=dashed]( 1,-1, 1)( 1,-1,-1) line[linestyle=dashed]( 1, 1, 1)( 1, 1,-1) line[linestyle=dashed](-1, 1, 1)(-1, 1,-1) } def floor_grid { def opts [linewidth=.2pt] def nX 7 def nZ 5 def dx (robotLength+tireRad*2) + 2 def dz (robotWidth+wheelWidth) + 2 def y -tireRad-.001 repeat { nX+1, translate([dx/nX,0,0]) } line[opts](-dx/2,y,-dz/2)(-dx/2,y,dz/2) repeat { nZ+1, translate([0,0,dz/nZ]) } line[opts](-dx/2,y,-dz/2)(dx/2,y,-dz/2) } put { [[viewXformI]] } { put { [[centerXform]] } {robot} {floor_grid} # put { scale([(robotLength+tireRad*2)/2, tireRad, (robotWidth+wheelWidth)/2]) } {dashframe} } #def frameOfs 2 #put { [[viewXformI]] then translate(-frameOfs * [I]) } {robot} #put { [[viewXformI]] then translate(frameOfs * [I]) } {robot} #put { [[simpleViewXform]] then translate(2*frameOfs * [I]) } {robot} global { set [linewidth=.3pt] % set up a bounding box def w 3 def ar 3/2.2 def cbp1 (-w,-w/ar,0) def cbp2 (w,w/ar,0) picturebox [.5] (cbp1)(cbp2) frame } sketch-0.3.7/Data/bunny.sk0100644000076400010400000026523711722043474020154 0ustar freddieresslerAdministratorsdef bunny { 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line[linecolor=red,linewidth=1pt](p1)(p2)(p3) line[linecolor=red,linewidth=1pt](p2)(p4) } put { view( (2,4.5,3) ) then scale(100) } {bunny} global { set [linewidth=.3pt] } sketch-0.3.7/Data/cone.sk0100644000076400010400000000756111722043474017737 0ustar freddieresslerAdministrators% truncated cone diagram % Modified for PGF/TikZ def O (0,0,0) def I [1,0,0] def J [0,1,0] def K [0,0,1] def p0 (1,2) def p1 (1.5,0) def N 8 def seg_rot rotate(360 / N, [J]) def dx 2 <> 2.3 def dy 2 <> 3.3 def dz dx def basic_cone { % draw the cone; this is the easy part! sweep[cull=false,fill=blue!20,fill opacity=0.8] { N, [[seg_rot]] } line(p0)(p1) % draw the axes def ax (dx,0,0) def ay (0,dy,0) def az (0,0,dz) line[arrows=<->,linewidth=.4pt](ax)(O)(ay) line[arrows=->,linewidth=.4pt](O)(az) % repeat dotted as an overlay to hint at the hidden lines %line[lay=over,linestyle=dotted,linewidth=.4pt](ax)(O)(ay) % line[lay=over,linestyle=dotted,linewidth=.4pt](O)(az) % label special|\path #1 node[below] {$x$} #2 node[above] {$y$} #3 node[left] {$z$};| (ax)(ay)(az) % height measurement mark takes too much code! def c0 (p0) then scale([J]) def hdim_ref unit((p1) - (O)) then [[seg_rot]]^2 def h00 (c0) + 1.1 * [hdim_ref] def h01 (c0) + 1.9 * [hdim_ref] def h02 (c0) + 1.8 * [hdim_ref] line(h00)(h01) def h10 (O) + 1.6 * [hdim_ref] def h11 (O) + 1.9 * [hdim_ref] def h12 (O) + 1.8 * [hdim_ref] line(h10)(h11) line[arrows=<->](h02)(h12) def hm2 ((h02)-(O)+(h12)-(O)) / 2 + (O) special|\node[ann] at #1 {$h$};|(hm2) % radius measurement marks def gap [0,.2,0] % first r1 def up1 [0,3.1,0] def r1 ((p1) then [[seg_rot]]^-2) + [up1] def r1c (r1) then scale([J]) def r1t (r1) + [gap] def r1b ((r1t) then scale([1,0,1])) + [gap] line[arrows=<->](r1c)(r1) line(r1b)(r1t) def r1m ((r1) - (O) + (r1c) - (O)) / 2 + (O) special |\node[ann] at #1 {$r_1$};|(r1m) % same drill for r0, but must project down first def up0 [0,2.7,0] def r0 ((p0) then scale([1,0,1]) then [[seg_rot]]^-2) + [up0] def r0c (r0) then scale([J]) def r0t (r0) + [gap] def r0b ((p0) then [[seg_rot]]^-2) + [gap] line[arrows=<->](r0c)(r0) line(r0b)(r0t) def r0m ((r0) - (O) + (r0c) - (O)) / 2 + (O) special |\node[ann] at #1 {$r_0$};|(r0m) } def labeled_cone { % the "ghost" of the entire cone sweep[draw=lightgray,cull=false] { N-1, [[seg_rot]] } line(p0)(p1) % for the highlighted face, we need explicit points def p00 (p0) then [[seg_rot]]^-1 def p10 (p1) then [[seg_rot]]^-1 def p01 (p0) def p11 (p1) %polygon[showpoints=true](p00)(p10)(p11)(p01) polygon[fillcolor=red,dotsep=semitransparent](p00)(p10)(p11)(p01) % TikZ does not have a showpoints option. Use dots. dots(p00)(p10)(p11)(p01) % TikZ special for labels. special|\fill[black,font=\footnotesize] #1 node [above] {$P_{00}$} #2 node [below] {$P_{10}$} #3 node [above] {$P_{01}$} #4 node [below] {$P_{11}$};| (p00)(p10)(p01)(p11) def mid ((p00)-(O)+(p10)-(O)+(p11)-(O)+(p01)-(O))/4+(O) % The TikZ arc operation starts at the current point. We therefore % need to shift it to get mid to be the center of the arc special|\draw #1+(-60:.25) [yscale=1.3,->] arc(-60:240:.25);| [lay=over](mid) def mid_left ((p00)-(O)+(p10)-(O))/2+(O) def mid_right ((p11)-(O)+(p01)-(O))/2+(O) special|\path[font=\footnotesize] #1 node[left] {$j$} #2 node[right] {$j\hbox{$+$}1$};| (mid_left)(mid_right) def top_lbl (p01) then [[seg_rot]]^2 def bot_lbl (p11) then [[seg_rot]]^2 special|\path[font=\footnotesize] #1 node[right] {$i\hbox{$=$}0$} #2 node[right] {$i\hbox{$=$}1$};| (top_lbl)(bot_lbl) } def cone {labeled_cone} <> {basic_cone} put { view((10,4,2)) } {cone} % Cool trick: lay = under forces this to be output first in the tikz picture block. special |\tikzstyle{ann} = [fill=white,font=\footnotesize,inner sep=1pt]|[lay=under] global { language tikz } sketch-0.3.7/Data/hand.sk0100644000076400010400000002523111722043474017717 0ustar freddieresslerAdministrators% % Very simple model of my hand % % Gene Ressler % % In particular, this completely ignores the carpal joints. % % Try this with various options to sketch. % % -D fist \ % -D ok > none or one of these % -D spread / % % -D topview \ % -D frontview > none or one of these % -D sideview / % % -D repeated % % I am not responsible for modifications to draw % obscene gestures. % parameterization of model % for fingers, 0 is thumb, 1 is index, % 2 is middle, 3 is ring, 4 is little % lateral angle between fingers def spread_rot 0 5 10 <> 0 % and between thumb and index finger def spread_rot_0 40 55 55 <> 25 % rotations of finger parts % distal is the finger tip % middle is below that % meta is the knuckle def distal_0_rot 60 45 <> -10 def middle_0_rot 50 40 0 <> 10 def meta_0_rot 40 35 <> 0 def distal_1_rot 90 54 <> 0 def meta_1_rot 90 60 <> 0 def distal_2_rot 90 30 <> 0 def meta_2_rot 90 35 <> 0 def distal_3_rot 90 30 <> 0 def meta_3_rot 90 30 <> 0 def distal_4_rot 90 30 <> 0 def meta_4_rot 90 25 <> 0 % end parameters % useful stuff def O (0,0,0) def I [1,0,0] def J [0,1,0] def K [0,0,1] % dependent rotations % fingers have the last two joints wired together def middle_1_rot distal_1_rot def middle_2_rot distal_2_rot def middle_3_rot distal_3_rot def middle_4_rot distal_4_rot % proportions def proximal_rad .6 def distal_rad .5 def distal_len 1.8 def joint_rad .6 def joint_gap .7 def middle_ratio 1.8 def proximal_distal_ratio proximal_rad / distal_rad % primitive segment of a finger is a truncated cone def segment { def n_faces 8 sweep { n_faces<>, rotate(360 / n_faces, [J]) } line(proximal_rad, 0)(distal_rad, distal_len) } % spheres to connect segments at joints def joint_sphere { def n_joint_faces 8 sweep [fillcolor=lightgray] { n_joint_faces, rotate(360 / n_joint_faces, [J]) } sweep { n_joint_faces, rotate(180 / n_joint_faces) } (0, -joint_rad) } % following is five separate definitions for five fingers % with parameters, this would be much shorter! def distal_0 { put { translate(joint_gap * joint_rad * [J]) then rotate(distal_0_rot, [I]) then translate((distal_len + joint_gap * joint_rad) * [J]) } {segment} put { rotate(distal_0_rot / 2, [I]) then translate((distal_len + joint_gap * joint_rad) * [J]) } {joint_sphere} put { scale( [J] + proximal_distal_ratio * ([I]+[K]) ) } {segment} } def finger_0 { put { translate(joint_gap * joint_rad * [J]) then rotate(middle_0_rot, [I]) then translate((middle_ratio * distal_len + joint_gap * joint_rad) * [J]) } {distal_0} put { scale(proximal_distal_ratio) then rotate(middle_0_rot / 2, [I]) then translate((middle_ratio * distal_len + joint_gap * joint_rad) * [J]) } {joint_sphere} put { scale( middle_ratio * [J] + proximal_distal_ratio^2 * ([I]+[K]) ) } {segment} } def distal_1 { put { translate(joint_gap * joint_rad * [J]) then rotate(distal_1_rot, [I]) then translate((distal_len + joint_gap * joint_rad) * [J]) } {segment} put { rotate(distal_1_rot / 2, [I]) then translate((distal_len + joint_gap * joint_rad) * [J]) } {joint_sphere} put { scale( [J] + proximal_distal_ratio * ([I]+[K]) ) } {segment} } def finger_1 { put { translate(joint_gap * joint_rad * [J]) then rotate(middle_1_rot, [I]) then translate((middle_ratio * distal_len + joint_gap * joint_rad) * [J]) } {distal_1} put { scale(proximal_distal_ratio) then rotate(middle_1_rot / 2, [I]) then translate((middle_ratio * distal_len + joint_gap * joint_rad) * [J]) } {joint_sphere} put { scale( middle_ratio * [J] + proximal_distal_ratio^2 * ([I]+[K]) ) } {segment} } def distal_2 { put { translate(joint_gap * joint_rad * [J]) then rotate(distal_2_rot, [I]) then translate((distal_len + joint_gap * joint_rad) * [J]) } {segment} put { rotate(distal_2_rot / 2, [I]) then translate((distal_len + joint_gap * joint_rad) * [J]) } {joint_sphere} put { scale( [J] + proximal_distal_ratio * ([I]+[K]) ) } {segment} } def finger_2 { put { translate(joint_gap * joint_rad * [J]) then rotate(middle_2_rot, [I]) then translate((middle_ratio * distal_len + joint_gap * joint_rad) * [J]) } {distal_2} put { scale(proximal_distal_ratio) then rotate(middle_2_rot / 2, [I]) then translate((middle_ratio * distal_len + joint_gap * joint_rad) * [J]) } {joint_sphere} put { scale( middle_ratio * [J] + proximal_distal_ratio^2 * ([I]+[K]) ) } {segment} } def distal_3 { put { translate(joint_gap * joint_rad * [J]) then rotate(distal_3_rot, [I]) then translate((distal_len + joint_gap * joint_rad) * [J]) } {segment} put { rotate(distal_3_rot / 2, [I]) then translate((distal_len + joint_gap * joint_rad) * [J]) } {joint_sphere} put { scale( [J] + proximal_distal_ratio * ([I]+[K]) ) } {segment} } def finger_3 { put { translate(joint_gap * joint_rad * [J]) then rotate(middle_3_rot, [I]) then translate((middle_ratio * distal_len + joint_gap * joint_rad) * [J]) } {distal_3} put { scale(proximal_distal_ratio) then rotate(middle_3_rot / 2, [I]) then translate((middle_ratio * distal_len + joint_gap * joint_rad) * [J]) } {joint_sphere} put { scale( middle_ratio * [J] + proximal_distal_ratio^2 * ([I]+[K]) ) } {segment} } def distal_4 { put { translate(joint_gap * joint_rad * [J]) then rotate(distal_4_rot, [I]) then translate((distal_len + joint_gap * joint_rad) * [J]) } {segment} put { rotate(distal_4_rot / 2, [I]) then translate((distal_len + joint_gap * joint_rad) * [J]) } {joint_sphere} put { scale( [J] + proximal_distal_ratio * ([I]+[K]) ) } {segment} } def finger_4 { put { translate(joint_gap * joint_rad * [J]) then rotate(middle_4_rot, [I]) then translate((middle_ratio * distal_len + joint_gap * joint_rad) * [J]) } {distal_4} put { scale(proximal_distal_ratio) then rotate(middle_4_rot / 2, [I]) then translate((middle_ratio * distal_len + joint_gap * joint_rad) * [J]) } {joint_sphere} put { scale( middle_ratio * [J] + proximal_distal_ratio^2 * ([I]+[K]) ) } {segment} } % points on the palm of the hand def proximal_0_loc (1.8,-5.5,0) def proximal_1_loc (1.8,.1,0) def proximal_2_loc (O) def proximal_3_loc (-1.8,-.2,0) def proximal_4_loc (-3.6,-.5,0) def h5 (proximal_4_loc) + [-.6,-.2] def h6 (h5) + [1,-5] def h8 (proximal_0_loc) + [.75,-.5] def h7 (h8) + [-.6,-.8] def h6a (h6) + .6 * ((h7) - (h6)) def h9 (h8) + [-1.9,1] def h10 (proximal_1_loc) + [.85,-.3] def hand { % thumb has an extra rotation for opposable-ness! def opposition_rot rotate(-50, [J]) def thk_scale_0 1.2 put { scale([thk_scale_0,.9,thk_scale_0]) % this distorts a little; oh well then translate((joint_gap * joint_rad) * [J]) then [[opposition_rot]] then rotate(meta_0_rot, [I]) then rotate(-spread_rot_0, [K]) then translate((proximal_0_loc) - (O)) } {finger_0} put { scale(thk_scale_0 * proximal_distal_ratio^2) then [[opposition_rot]] then rotate(meta_0_rot / 2, [I]) then rotate(-spread_rot_0, [K]) then translate((proximal_0_loc) - (O)) } {joint_sphere} % index finger def scale_1 .85 put { scale(scale_1) then translate((joint_gap * joint_rad) * [J]) then rotate(meta_1_rot, [I]) then rotate(-spread_rot, [K]) then translate((proximal_1_loc) - (O)) } {finger_1} put { scale(scale_1 * proximal_distal_ratio^2) then rotate(meta_1_rot / 2, [I]) then rotate(-spread_rot, [K]) then translate((proximal_1_loc) - (O)) } {joint_sphere} % middle finger put { % no scale then translate((joint_gap * joint_rad) * [J]) then rotate(meta_2_rot, [I]) % no spread rotation then translate((proximal_2_loc) - (O)) } {finger_2} put { scale(proximal_distal_ratio^2) then rotate(meta_2_rot / 2, [I]) then rotate(-spread_rot, [K]) then translate((proximal_2_loc) - (O)) } {joint_sphere} % ring finger def scale_3 .85 put { scale(scale_3) then translate((joint_gap * joint_rad) * [J]) then rotate(meta_3_rot, [I]) then rotate(spread_rot, [K]) then translate((proximal_3_loc) - (O)) } {finger_3} put { scale(scale_3 * proximal_distal_ratio^2) then rotate(meta_3_rot / 2, [I]) then rotate(-spread_rot, [K]) then translate((proximal_3_loc) - (O)) } {joint_sphere} % little finger def scale_4 .7 put { scale(scale_4) then translate((joint_gap * joint_rad) * [J]) then rotate(meta_4_rot, [I]) then rotate(2 * spread_rot, [K]) then translate((proximal_4_loc) - (O)) } {finger_4} put { scale(scale_4 * proximal_distal_ratio^2) then rotate(meta_4_rot / 2, [I]) then rotate(-spread_rot, [K]) then translate((proximal_4_loc) - (O)) } {joint_sphere} % palm is built by sweeping a polygon through a small % angle in order to make it thicker at the wrist put { translate(joint_gap * joint_rad * -[J]) } % drop polytope to expose knuckles sweep { 1, rotate(6, (0,15,0), [I]) } put { rotate(-3, (0,15,0), [I]) } { % need two polygons for convexity; the desired shape is concave at the thumb polygon(proximal_1_loc)(proximal_2_loc)(proximal_3_loc)(proximal_4_loc) (h5)(h6)(h6a)(h9)(h10) polygon(h6a)(h7)(h8)(h9) } } % a few views def viewxf view((0,0,10)) view((10,0,0)) view((0,10,0), (O), -[K]) <> view((4,3,10)) % either a single copy or a repeat to show different angles def scene put { [[viewxf]] then scale(.25) } { def N 4 repeat { N, rotate(270/N, [3,2,1]), translate(14*[I]) } {hand} } <> put { [[viewxf]] then scale(.3) } {hand} {scene} global { set [linewidth=.3pt] } sketch-0.3.7/Data/test.sk0100644000076400010400000001053011722043474017760 0ustar freddieresslerAdministrators# origin def O (0,0,0) def cube { polygon[linecolor=blue,fillcolor=red]( 1,-1,-1)( 1, 1,-1)( 1, 1, 1)( 1,-1, 1) polygon[linecolor=blue,fillcolor=green](-1,-1, 1)(-1, 1, 1)(-1, 1,-1)(-1,-1,-1) polygon[linecolor=blue,fillcolor=blue](-1,-1,-1)( 1,-1,-1)( 1,-1, 1)(-1,-1, 1) polygon[linecolor=blue,fillcolor=yellow](-1, 1, 1)( 1, 1, 1)( 1, 1,-1)(-1, 1,-1) polygon[linecolor=blue,fillcolor=cyan](-1,-1, 1)( 1,-1, 1)( 1, 1, 1)(-1, 1, 1) polygon[linecolor=blue,fillcolor=magenta](-1, 1,-1)( 1, 1,-1)( 1,-1,-1)(-1,-1,-1) } def rawcubes { {cube} put { translate([2.5,0,0]) } {cube} put { translate([0,0,-2.5]) } {cube} put { translate([0,0,2.5]) } {cube} put { translate([-2.5,0,0]) } {cube} } def ofs -1.5 #def ofs -2.1 def cubeviews { put { rotate(0, (O), [0,1,0]) then translate([0,0*ofs,0]) then view((3, 5, 10), [-3, -5, -10]) then perspective(10) } {rawcubes} put { rotate(5, (O), [0,1,0]) then translate([0,1*ofs,0]) then view((3, 5, 10), [-3, -5, -10]) then perspective(10) } {rawcubes} put { rotate(10, (O), [0,1,0]) then translate([0,2*ofs,0]) then view((3, 5, 10), [-3, -5, -10]) then perspective(10) } {rawcubes} put { rotate(15, (O), [0,1,0]) then translate([0,3*ofs,0]) then view((3, 5, 10), [-3, -5, -10]) then perspective(10) } {rawcubes} put { rotate(20, (O), [0,1,0]) then translate([0,4*ofs,0]) then view((3, 5, 10), [-3, -5, -10]) then perspective(10) } {rawcubes} put { rotate(25, (O), [0,1,0]) then translate([0,5*ofs,0]) then view((3, 5, 10), [-3, -5, -10]) then perspective(10) } {rawcubes} put { rotate(30, (O), [0,1,0]) then translate([0,6*ofs,0]) then view((3, 5, 10), [-3, -5, -10]) then perspective(10) } {rawcubes} put { rotate(35, (O), [0,1,0]) then translate([0,7*ofs,0]) then view((3, 5, 10), [-3, -5, -10]) then perspective(10) } {rawcubes} put { rotate(40, (O), [0,1,0]) then translate([0,8*ofs,0]) then view((3, 5, 10), [-3, -5, -10]) then perspective(10) } {rawcubes} put { rotate(45, (O), [0,1,0]) then translate([0,9*ofs,0]) then view((3, 5, 10), [-3, -5, -10]) then perspective(10) } {rawcubes} put { rotate(50, (O), [0,1,0]) then translate([0,10*ofs,0]) then view((3, 5, 10), [-3, -5, -10]) then perspective(10) } {rawcubes} put { rotate(55, (O), [0,1,0]) then translate([0,11*ofs,0]) then view((3, 5, 10), [-3, -5, -10]) then perspective(10) } {rawcubes} put { rotate(60, (O), [0,1,0]) then translate([0,12*ofs,0]) then view((3, 5, 10), [-3, -5, -10]) then perspective(10) } {rawcubes} put { rotate(65, (O), [0,1,0]) then translate([0,13*ofs,0]) then view((3, 5, 10), [-3, -5, -10]) then perspective(10) } {rawcubes} put { rotate(70, (O), [0,1,0]) then translate([0,14*ofs,0]) then view((3, 5, 10), [-3, -5, -10]) then perspective(10) } {rawcubes} put { rotate(75, (O), [0,1,0]) then translate([0,15*ofs,0]) then view((3, 5, 10), [-3, -5, -10]) then perspective(10) } {rawcubes} put { rotate(80, (O), [0,1,0]) then translate([0,16*ofs,0]) then view((3, 5, 10), [-3, -5, -10]) then perspective(10) } {rawcubes} put { rotate(85, (O), [0,1,0]) then translate([0,17*ofs,0]) then view((3, 5, 10), [-3, -5, -10]) then perspective(10) } {rawcubes} put { rotate(90, (O), [0,1,0]) then translate([0,18*ofs,0]) then view((3, 5, 10), [-3, -5, -10]) then perspective(10) } {rawcubes} } def dstest { def ts polygon (-1,-1,1)(1,-1,-1)(1,1,-1)(-1,1,1) {ts} def ofsv [.2,0,-.1] put { translate( [ofsv] ) } {ts} put { translate( 2*[ofsv] ) } {ts} put { translate( 3*[ofsv] ) } {ts} put { translate( 4*[ofsv] ) } {ts} put { translate( 5*[ofsv] ) } {ts} } #put { view((10,2,10), [-1,-2,-5]) } {dstest} put { scale(1) } {cubeviews} def cross { polygon[fillcolor=red] (-10,-1,-10)(10,-1,10)(10,1,10)(-10,1,-10) polygon[fillcolor=blue] (-10,-1,10)(10,-1,-10)(10,1,-10)(-10,1,10) } # put { view( (0,5,10) ) then scale(.1) } {cross} def edgeon { polygon[fillcolor=red] (0,0,1)(10,0,1)(10,0,-1)(0,0,-1) 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~eõYB)µw`Æõ&jY/·¹å&jÍŽ[_°lþAwIðA^õÅøslï@SÚ[^‹4½%-Tö-ÝwGWXÍÉݼ­ú±•÷+|(•ÐáÛÙÜòŒo[³÷íþ°ž-À6„¯³õ¨¼Ž-¼Ù·¬võˆ)²ÿðÒ3;øÄIEND®B`‚sketch-0.3.7/Doc/hand.sk0100644000076400010400000002510711722043475017556 0ustar freddieresslerAdministrators% % Very simple model of my hand % % Gene Ressler % % In particular, this completely ignores the carpal joints. % % Try this with various options to sketch. % % -D fist \ % -D ok > none or one of these % -D spread / % % -D topview \ % -D frontview > none or one of these % -D sideview / % % -D repeated % % I am not responsible for modifications to draw % obscene gestures. % parameterization of model % for fingers, 0 is thumb, 1 is index, % 2 is middle, 3 is ring, 4 is little % lateral angle between fingers def spread_rot 0 5 10 <> 0 % and between thumb and index finger def spread_rot_0 40 55 55 <> 25 % rotations of finger parts % distal is the finger tip % middle is below that % meta is the knuckle def distal_0_rot 60 45 <> -10 def middle_0_rot 50 40 0 <> 10 def meta_0_rot 40 33 <> 0 def distal_1_rot 90 60 <> 0 def meta_1_rot 90 55 <> 0 def distal_2_rot 90 30 <> 0 def meta_2_rot 90 35 <> 0 def distal_3_rot 90 30 <> 0 def meta_3_rot 90 30 <> 0 def distal_4_rot 90 30 <> 0 def meta_4_rot 90 25 <> 0 % end parameters % useful stuff def O (0,0,0) def I [1,0,0] def J [0,1,0] def K [0,0,1] % dependent rotations % fingers have the last two joints wired together def middle_1_rot distal_1_rot def middle_2_rot distal_2_rot def middle_3_rot distal_3_rot def middle_4_rot distal_4_rot % proportions def proximal_rad .6 def distal_rad .5 def distal_len 1.8 def joint_rad .6 def joint_gap .7 def middle_ratio 1.8 def proximal_distal_ratio proximal_rad / distal_rad % primitive segment of a finger is a truncated cone def segment { def n_faces 8 sweep { n_faces<>, rotate(360 / n_faces, [J]) } line(proximal_rad, 0)(distal_rad, distal_len) } % spheres to connect segments at joints def joint_sphere { def n_joint_faces 8 sweep [fillcolor=red] { n_joint_faces, rotate(360 / n_joint_faces, [J]) } sweep { n_joint_faces, rotate(180 / n_joint_faces) } (0, -joint_rad) } % following is five separate definitions for five fingers % with parameters, this would be much shorter! def distal_0 { put { translate(joint_gap * joint_rad * [J]) then rotate(distal_0_rot, [I]) then translate((distal_len + joint_gap * joint_rad) * [J]) } {segment} put { rotate(distal_0_rot / 2, [I]) then translate((distal_len + joint_gap * joint_rad) * [J]) } {joint_sphere} put { scale( [J] + proximal_distal_ratio * ([I]+[K]) ) } {segment} } def finger_0 { put { translate(joint_gap * joint_rad * [J]) then rotate(middle_0_rot, [I]) then translate((middle_ratio * distal_len + joint_gap * joint_rad) * [J]) } {distal_0} put { scale(proximal_distal_ratio) then rotate(middle_0_rot / 2, [I]) then translate((middle_ratio * distal_len + joint_gap * joint_rad) * [J]) } {joint_sphere} put { scale( middle_ratio * [J] + proximal_distal_ratio^2 * ([I]+[K]) ) } {segment} } def distal_1 { put { translate(joint_gap * joint_rad * [J]) then rotate(distal_1_rot, [I]) then translate((distal_len + joint_gap * joint_rad) * [J]) } {segment} put { rotate(distal_1_rot / 2, [I]) then translate((distal_len + joint_gap * joint_rad) * [J]) } {joint_sphere} put { scale( [J] + proximal_distal_ratio * ([I]+[K]) ) } {segment} } def finger_1 { put { translate(joint_gap * joint_rad * [J]) then rotate(middle_1_rot, [I]) then translate((middle_ratio * distal_len + joint_gap * joint_rad) * [J]) } {distal_1} put { scale(proximal_distal_ratio) then rotate(middle_1_rot / 2, [I]) then translate((middle_ratio * distal_len + joint_gap * joint_rad) * [J]) } {joint_sphere} put { scale( middle_ratio * [J] + proximal_distal_ratio^2 * ([I]+[K]) ) } {segment} } def distal_2 { put { translate(joint_gap * joint_rad * [J]) then rotate(distal_2_rot, [I]) then translate((distal_len + joint_gap * joint_rad) * [J]) } {segment} put { rotate(distal_2_rot / 2, [I]) then translate((distal_len + joint_gap * joint_rad) * [J]) } {joint_sphere} put { scale( [J] + proximal_distal_ratio * ([I]+[K]) ) } {segment} } def finger_2 { put { translate(joint_gap * joint_rad * [J]) then rotate(middle_2_rot, [I]) then translate((middle_ratio * distal_len + joint_gap * joint_rad) * [J]) } {distal_2} put { scale(proximal_distal_ratio) then rotate(middle_2_rot / 2, [I]) then translate((middle_ratio * distal_len + joint_gap * joint_rad) * [J]) } {joint_sphere} put { scale( middle_ratio * [J] + proximal_distal_ratio^2 * ([I]+[K]) ) } {segment} } def distal_3 { put { translate(joint_gap * joint_rad * [J]) then rotate(distal_3_rot, [I]) then translate((distal_len + joint_gap * joint_rad) * [J]) } {segment} put { rotate(distal_3_rot / 2, [I]) then translate((distal_len + joint_gap * joint_rad) * [J]) } {joint_sphere} put { scale( [J] + proximal_distal_ratio * ([I]+[K]) ) } {segment} } def finger_3 { put { translate(joint_gap * joint_rad * [J]) then rotate(middle_3_rot, [I]) then translate((middle_ratio * distal_len + joint_gap * joint_rad) * [J]) } {distal_3} put { scale(proximal_distal_ratio) then rotate(middle_3_rot / 2, [I]) then translate((middle_ratio * distal_len + joint_gap * joint_rad) * [J]) } {joint_sphere} put { scale( middle_ratio * [J] + proximal_distal_ratio^2 * ([I]+[K]) ) } {segment} } def distal_4 { put { translate(joint_gap * joint_rad * [J]) then rotate(distal_4_rot, [I]) then translate((distal_len + joint_gap * joint_rad) * [J]) } {segment} put { rotate(distal_4_rot / 2, [I]) then translate((distal_len + joint_gap * joint_rad) * [J]) } {joint_sphere} put { scale( [J] + proximal_distal_ratio * ([I]+[K]) ) } {segment} } def finger_4 { put { translate(joint_gap * joint_rad * [J]) then rotate(middle_4_rot, [I]) then translate((middle_ratio * distal_len + joint_gap * joint_rad) * [J]) } {distal_4} put { scale(proximal_distal_ratio) then rotate(middle_4_rot / 2, [I]) then translate((middle_ratio * distal_len + joint_gap * joint_rad) * [J]) } {joint_sphere} put { scale( middle_ratio * [J] + proximal_distal_ratio^2 * ([I]+[K]) ) } {segment} } % points on the palm of the hand def proximal_0_loc (1.8,-5.5,0) def proximal_1_loc (1.8,.1,0) def proximal_2_loc (O) def proximal_3_loc (-1.8,-.2,0) def proximal_4_loc (-3.6,-.5,0) def h5 (proximal_4_loc) + [-.6,-.2] def h6 (h5) + [1,-5] def h8 (proximal_0_loc) + [.75,-.5] def h7 (h8) + [-.6,-.8] def h6a (h6) + .6 * ((h7) - (h6)) def h9 (h8) + [-1.9,1] def h10 (proximal_1_loc) + [.85,-.3] def hand { % thumb has an extra rotation for opposable-ness! def opposition_rot rotate(-50, [J]) def thk_scale_0 1.2 put { scale([thk_scale_0,.9,thk_scale_0]) % this distorts a little; oh well then translate((joint_gap * joint_rad) * [J]) then [[opposition_rot]] then rotate(meta_0_rot, [I]) then rotate(-spread_rot_0, [K]) then translate((proximal_0_loc) - (O)) } {finger_0} put { scale(thk_scale_0 * proximal_distal_ratio^2) then [[opposition_rot]] then rotate(meta_0_rot / 2, [I]) then rotate(-spread_rot_0, [K]) then translate((proximal_0_loc) - (O)) } {joint_sphere} % index finger def scale_1 .85 put { scale(scale_1) then translate((joint_gap * joint_rad) * [J]) then rotate(meta_1_rot, [I]) then rotate(-spread_rot, [K]) then translate((proximal_1_loc) - (O)) } {finger_1} put { scale(scale_1 * proximal_distal_ratio^2) then rotate(meta_1_rot / 2, [I]) then rotate(-spread_rot, [K]) then translate((proximal_1_loc) - (O)) } {joint_sphere} % middle finger put { % no scale then translate((joint_gap * joint_rad) * [J]) then rotate(meta_2_rot, [I]) % no spread rotation then translate((proximal_2_loc) - (O)) } {finger_2} put { scale(proximal_distal_ratio^2) then rotate(meta_2_rot / 2, [I]) then translate((proximal_2_loc) - (O)) } {joint_sphere} % ring finger def scale_3 .85 put { scale(scale_3) then translate((joint_gap * joint_rad) * [J]) then rotate(meta_3_rot, [I]) then rotate(spread_rot, [K]) then translate((proximal_3_loc) - (O)) } {finger_3} put { scale(scale_3 * proximal_distal_ratio^2) then rotate(meta_3_rot / 2, [I]) then rotate(spread_rot, [K]) then translate((proximal_3_loc) - (O)) } {joint_sphere} % little finger def scale_4 .7 put { scale(scale_4) then translate((joint_gap * joint_rad) * [J]) then rotate(meta_4_rot, [I]) then rotate(2 * spread_rot, [K]) then translate((proximal_4_loc) - (O)) } {finger_4} put { scale(scale_4 * proximal_distal_ratio^2) then rotate(meta_4_rot / 2, [I]) then rotate(2 * spread_rot, [K]) then translate((proximal_4_loc) - (O)) } {joint_sphere} % palm is built by sweeping a polygon through a small % angle in order to make it thicker at the wrist put { translate(joint_gap * joint_rad * -[J]) } % drop polytope to expose knuckles sweep { 1, rotate(6, (0,15,0), [I]) } put { rotate(-3, (0,15,0), [I]) } { % need two polygons for convexity; the desired shape is concave at the thumb polygon(proximal_1_loc)(proximal_2_loc)(proximal_3_loc)(proximal_4_loc) (h5)(h6)(h6a)(h9)(h10) polygon(h6a)(h7)(h8)(h9) } } % a few views def viewxf view((0,0,10)) view((10,0,0)) view((0,10,0), (O), -[K]) <> view((7,3,10)) % either a single copy or a repeat to show different angles def scene put { [[viewxf]] then scale(.25) } { def N 4 repeat { N, rotate(270/N, [3,2,1]), translate(14*[I]) } {hand} } <> put { [[viewxf]] then scale(.3) } {hand} {scene} sketch-0.3.7/Doc/make.bat0100755000076400010400000000013011722043475017702 0ustar freddieresslerAdministrators@echo off path %path%;C:\gs\gs8.54\bin;C:\bin perl make.pl %1 %2 %3 %4 %5 %6 %7 %8 %9 sketch-0.3.7/Doc/make.pl0100644000076400010400000000700011722043475017547 0ustar freddieresslerAdministrators# # make sketch documentation with Windows and Cygwin # use strict; use File::Copy; our $WIN32 = ($^O =~ /win32/i); sub make_example { my $ex = shift; die "missing example name" unless $ex; my %arg = map { $_ => 1 } @_; my ($GS, $SKETCH, $LATEX_OPTS); if ($WIN32) { $GS = 'gswin32.exe'; $SKETCH = -x '..\sketch.exe' ? '..\sketch.exe' : 'sketch.exe'; # $LATEX_OPTS = ""; # MikTeX 2.6 $LATEX_OPTS = '--extra-mem-top=5000000'; # MikTeX 2.7 } else { $GS = 'gs'; $SKETCH = -x '../sketch' ? '../sketch' : 'sketch'; $LATEX_OPTS = ''; } unless ($arg{nosketch}) { my $cmd = "$SKETCH -D $ex manexamples.sk > $ex.tex"; print STDERR "$cmd\n"; system($cmd) == 0 or die "$!"; } unless ($arg{nobitmaps}) { print STDERR "latex example '$ex-tmp.tex':\n"; system("sed -e s/TEXFILE/$ex/ makeex-tmp.tex > $ex-tmp.tex") == 0 or die "$!"; system("latex $LATEX_OPTS $ex-tmp.tex") == 0 or die "$!"; system("dvips -E $ex-tmp -o tmp.eps") == 0 or die "$!"; # fix up bounding box (originally this was not necessary; something was "improved") system("epstool --copy --bbox tmp.eps $ex.eps") == 0 or die "$!"; unlink "tmp.eps"; local *F; open(F, "> $ex.txt") or die "$!"; print F "Image $ex omitted in text version of this document."; close F; system("$GS -q -dQUIET -dNOPAUSE -dBATCH -dEPSCrop -sDEVICE=pdfwrite -sOutputFile=$ex.pdf -r120 $ex.eps") == 0 or die "$!"; system("$GS -q -dQUIET -dNOPAUSE -dBATCH -dEPSCrop -sDEVICE=png256 -sOutputFile=$ex.png -r120 $ex.eps") == 0 or die "$!"; unlink <$ex-tmp.*>; } } sub make_all { my %arg = map { $_ => 1 } @_; if ($arg{examples}) { local *F; open(F, "tags.sk") or die "$!"; while () { if (/<([^>]*)>/) { make_example $1, @_; } } close(F); } # Delete spurious carriage returns in unix/linux. unless ($WIN32){ rename("sketch.texi","sketch.texi.dist") || die "$!"; open (IN,"sketch.texi") || die "$!"; while(){ tr/\r//d; print OUT; } close OUT; } unless ($arg{notypeset}) { print "info:\n"; system("makeinfo sketch.texi") == 0 or die "$!"; print "html, one page per node:\n"; system("makeinfo --html sketch.texi") == 0 or die "$!"; while (<*.png>) { copy($_, "sketch/$_"); } print "html, single page:\n"; system("makeinfo --html --no-split sketch.texi") == 0 or die "$!"; # run twice to ensure labels are ok print "TeX DVI\n"; system("texi2dvi sketch.texi") == 0 or die "$!"; system("texi2dvi sketch.texi") == 0 or die "$!"; print "Postscript:\n"; system("dvips sketch.dvi -o sketch.ps") == 0 or die "$!"; # texi2dvi finds PNG before the PDF graphics, so delete... my @unlink_list = ; unlink @unlink_list; # make PDF manual print "PDF:\n"; system("texi2dvi --pdf sketch.texi") == 0 or die "$!"; # ... and restore for (@unlink_list) { copy("sketch/$_", $_); } } # Restor the distibution version of the texi file if we rewrote it. unless ($WIN32){ unlink "sketch.texi" || die "$!"; rename "sketch.texi.dist","sketch.texi" || die "$!"; } } if (grep { /help/ } @ARGV) { print "usage: perl make.pl [examples] [nosketch] [nobitmaps] [notypeset]\n"; } elsif ($ARGV[0] =~ /^ex[0-9]+/ ) { make_example @ARGV } else { make_all @ARGV } sketch-0.3.7/Doc/makeex-tmp.tex0100644000076400010400000000025711722043475021076 0ustar freddieresslerAdministrators\documentclass{article} \usepackage{pst-all} \usepackage{amsmath} \pagestyle{empty} \begin{document} \begin{TeXtoEPS} \input{TEXFILE} \end{TeXtoEPS} \end{document} sketch-0.3.7/Doc/manexamples.sk0100644000076400010400000002222611722043475021155 0ustar freddieresslerAdministratorsdef x000 { def O (0,0,0) def I [1,0,0] def J [0,1,0] def K [0,0,1] def eye (18,12,10) put { view( (eye) ) then perspective(|(eye)-(O)|) then scale(3/8) } { def R 3 def N 16 def degrees_per_seg 15 def pitch 1/7 def darc degrees_per_seg / 360 * 2 * 3.14159 * R def dy darc * pitch def n_segs 114 line[linecolor=red,linewidth=2pt](0,-1,0)(0, n_segs * dy + 1, 0) sweep { n_segs, rotate( degrees_per_seg, (O), [J] ) then translate([0, dy, 0]) } put { translate([R,0,0]) then rotate(atan2(dy, darc), (O), [I]) } sweep[fillcolor=lightgray] { N<>, rotate(360/N, (O), [K]) } (1,0) } } def x010 { put { view((5,4,8)) } { def L 1.5 line[arrows=<->](L,0,0)(0,0,0)(0,L,0) line[arrows=->](0,0,0)(0,0,L) special|\uput[r]#1{$x$} \uput[u]#2{$y$} \uput[l]#3{$z$}| (L,0,0) % 1 (0,L,0) % 2 (0,0,L) % 3 } } def x020 { polygon(0,0,1)(1,0,0)(0,1,0) line(-1,-1,-1)(2,2,2) special|\psline[linecolor=lightgray]{<->}#1#2#3 \pscircle*[linecolor=lightgray,fillcolor=lightgray]#2{2pt} \pscircle[linecolor=lightgray]#2{4pt}| [lay=under](0,2,0)(0,0,0)(2,0,0) } def x030 { polygon[fillcolor=lightgray,linewidth=3pt](0,0,1)(1,0,0)(0,1,0) line[linestyle=dotted](-1,-1,-1)(2,2,2) } def x040 { % vertices of the tetrahedron def p1 (0,0,1) def p2 (1,0,0) def p3 (0,1,0) def p4 (-.3,-.5,-.8) % faces of the tetrahedron. polygon(p1)(p2)(p3) % original front polygon polygon(p1)(p4)(p2) % bottom polygon(p1)(p3)(p4) % left polygon(p3)(p2)(p4) % rear % line to pierce the tetrahedron line[linecolor=red](-1,-1,-1)(2,2,2) } def x042 { % vertices of the tetrahedron def p1 (0,0,1) def p2 (1,0,0) def p3 (0,1,0) def p4 (-.3,-.5,-.8) % faces of the tetrahedron. polygon(p1)(p2)(p3) % original front polygon polygon(p1)(p4)(p2) % bottom polygon(p1)(p3)(p4) % left polygon(p3)(p2)(p4) % rear % line to pierce the tetrahedron line[linecolor=red](-1,-1,-1)(2,2,2) % labels special |\footnotesize \uput{2pt}[ur]#1{$P1$}\uput[r]#2{$P2$} \uput[u]#3{$P3$}\uput[d]#4{$P4$}| (p1)(p2)(p3)(p4) } def x045 { def O (0,0,0) def K [0,0,1] def n_segs 60 def degrees_per_seg 20 def pitch 3 put { view((20,7,4)) then perspective(22) } { sweep[cull=false] { n_segs, rotate(10, (O), [K]) then translate(pitch * degrees_per_seg / 360 * [K]) } line[cull=false](-1,0)(1,0) put { translate([0,2.5,0]) } sweep[cull=true] { n_segs, rotate(10, (O), [K]) then translate(pitch * degrees_per_seg / 360 * [K]) } line[cull=false](-1,0)(1,0) } } def x050 { def pierced_tetrahedron { def p1 (0,0,1) def p2 (1,0,0) def p3 (0,1,0) def p4 (-.3,-.5,-.8) % faces of the tetrahedron. polygon(p1)(p2)(p3) % original polygon(p1)(p4)(p2) % bottom polygon(p1)(p3)(p4) % left polygon[fillcolor=lightgray](p3)(p2)(p4) % rear line[linecolor=red](-1,-1,-1)(2,2,2) } {pierced_tetrahedron} % tetrahedron in original position put { rotate(90, (0,0,0), [1,0,0]) % copy in new position then translate([2.5,0,0]) } {pierced_tetrahedron} } def x060 { def pierced_tetrahedron { def p1 (0,0,1) def p2 (1,0,0) def p3 (0,1,0) def p4 (-.3,-.5,-.8) % faces of the tetrahedron. polygon(p1)(p2)(p3) % original polygon(p1)(p4)(p2) % bottom polygon(p1)(p3)(p4) % left polygon[fillcolor=lightgray](p3)(p2)(p4) % rear line[linecolor=red](-1,-1,-1)(2,2,2) } repeat { 7, rotate(15, (0,0,0), [1,0,0]) % copy in new position then translate([1.8,0,0]) } {pierced_tetrahedron} } def x070 { def n_segs 8 sweep { n_segs, rotate(180 / n_segs, [0,0,1]) } (1,0,0) } def x080 { def n_segs 8 sweep { n_segs<>, rotate(180 / n_segs, [0,0,1]) } (1,0,0) } % toroid def x090 { put { view((4,5,10)) } { def n_toroid_segs 20 def n_circle_segs 16 def r_minor 1 def r_major 1.5 sweep { n_toroid_segs, rotate(360 / n_toroid_segs, [0,1,0]) } sweep { n_circle_segs, rotate(360 / n_circle_segs, (r_major,0,0)) } (r_major + r_minor, 0) def al 1.5 line[linecolor=red,arrows=->](0,0,0)(r_major + r_minor + al,0,0) line[linecolor=red,arrows=->](0,0,0)(0,r_minor + al,0) line[linecolor=red,arrows=->](0,0,0)(0,0,r_major + r_minor + al) special|\uput[r]#1{$x$} \uput[u]#2{$y$} \uput[dl]#3{$z$}|(r_major + r_minor + al,0,0)(0,r_minor + al,0)(0,0,r_major + r_minor + al) } } % triangle with normal def x100 { def p1 (1,0,0) def p2 (0,0.5,0) def p3 (-0.5,-1,2) def O (0,0,0) def N unit( ((p3) - (p2)) * ((p1) - (p2)) ) def n1 ((p1) - (O) + (p2) - (O) + (p3) - (O)) / 3 + (O) def n2 (n1)+[N] polygon(p1)(p2)(p3) line[arrows=*->](n1)(n2) } % views of cylinder def x110 { def n_cyl_segs 20 def n_views 5 def I [1,0,0] repeat { n_views, rotate(180/n_views, [I]) then translate([I] * 2.1) } sweep[fillcolor=lightgray]{ n_cyl_segs<>, rotate(360/n_cyl_segs, [0,1,0]) } line[fillcolor=white](1,-1)(1,1) } % mobius strip def x120 { put { view ((3,5,10)) } { def R 4 def N 64 def T .3 sweep[cull=false] { N, rotate(180/N, (R,0,0)), rotate(360/N, [0,1,0]) } line(R - 1,-T)(R + 1,-T)(R + 1,T)(R - 1,T)(R - 1,-T) } } def x130_200 { % useful common defs def O (0,0,0) % right side (outside to right) def ht 2 % height of peak of house def R1 (1,1,1) def R2 (1,-1,1) def R3 (1,-1,-1) def R4 (1,1,-1) def R5 (1,ht,0) % left side (outside to right--backward) def W [2,0,0] def L1 (R1)-[W] def L2 (R2)-[W] def L3 (R3)-[W] def L4 (R4)-[W] def L5 (R5)-[W] % door def e .01 def D1 (0,-1,1+e) def D2 (.5,-1,1+e) def D3 (.5,0,1+e) def D4 (0,0,1+e) def hp scale(1) scale(1) <> rotate(-40, [0,1,0]) then translate([0,0,-12]) % house positioner def pR1 [[hp]]*(R1) def pR2 [[hp]]*(R2) def pR3 [[hp]]*(R3) def pR4 [[hp]]*(R4) def pR5 [[hp]]*(R5) def pL1 [[hp]]*(L1) def pL2 [[hp]]*(L2) def pL3 [[hp]]*(L3) def pL4 [[hp]]*(L4) def pL5 [[hp]]*(L5) def pD1 [[hp]]*(D1) def pD2 [[hp]]*(D2) def pD3 [[hp]]*(D3) def pD4 [[hp]]*(D4) % house def rgt polygon (pR1)(pR2)(pR3)(pR4)(pR5) def lft polygon (pL5)(pL4)(pL3)(pL2)(pL1) def frt polygon (pR2)(pR1)(pL1)(pL2) def bck polygon (pR4)(pR3)(pL3)(pL4) def tfr polygon (pR1)(pR5)(pL5)(pL1) def tbk polygon (pR5)(pR4)(pL4)(pL5) def bot polygon (pR2)(pL2)(pL3)(pR3) def door polygon[fillcolor=brown] (pD1)(pD2)(pD3)(pD4) def house { {rgt}{lft}{frt}{bck}{tfr}{tbk}{bot}{door} } % perspective system def axes { def sz 1 line [arrows=<->] (sz,0,0)(O)(0,sz,0) line [arrows=->] (O)(0,0,sz) line [linewidth=.2pt,linecolor=blue,linestyle=dashed] (O)(0,0,-12) special |\uput[r]#1{$x$}\uput[u]#2{$y$}\uput[l]#3{$z$}| (sz,0,0)(0,sz,0)(0,0,sz) } def p 5 % projection distance (plane at z=-p) def projection_plane { def sz 1.5 polygon (-sz,-sz,-p)(sz,-sz,-p)(sz,sz,-p)(-sz,sz,-p) special |\rput[b]#1-2#3{\footnotesize\sf projection plane}| [lay=over](-sz,-sz,-p)(sz,-sz,-p)(0,-sz+.1,-p) } def projection_rays { def ray [linewidth=.3pt,linecolor=lightgray] % right line [ray](O)(pR1) line [ray](O)(pR2) line[ray](O)(pR3) line [ray](O)(pR4) line [ray](O)(pR5) % left line [ray](O)(pL1) line [ray](O)(pL2) line[ray](O)(pL5) %door line [ray](O)(pD1) line [ray](O)(pD2) line [ray](O)(pD3) line [ray](O)(pD4) } def projection { put { project(p) then translate([0,0,e]) } {house} put { project(p) then translate([0,0,2*e]) } {door} } def eye (5,2,2.5) def look_at (0,0,-5) def all {house} put { scale(.3) } repeat { 13, rotate(30, [1,2,3]), translate([3,0,0]) } {house} put { view((eye), (look_at)) } { {house} {axes} } put { view((eye), (look_at)) } { {house} {axes} {projection_plane} } put { view((eye), (look_at)) } { {house} {axes} {projection_plane} {projection_rays} } put { view((eye), (look_at)) } { {house} {axes} {projection_plane} {projection_rays} {projection} } put { view((eye), (look_at)) then perspective(9)} { {house} {axes} {projection_plane} {projection_rays} {projection} } <> {house} {all} } def x210 { input {hand.sk} } def x220 { def fist <> input {hand.sk} } def x230 { def ok <> input {hand.sk} } def x240 { def spread <> input {hand.sk} } def x250 { input {truncatedcone.sk} } def x260 { def labeled <> input {truncatedcone.sk} } def tomake input{tags.sk} <> special|No case was selected!| {tomake} global { set [linewidth=.3pt] } sketch-0.3.7/Doc/sketch/0040755000076400010400000000000011722043476017565 5ustar freddieresslerAdministratorssketch-0.3.7/Doc/sketch/A-hierarchical-model.html0100644000076400010400000002377011722043475024352 0ustar freddieresslerAdministrators A hierarchical model - Sketch

4.3 A hierarchical model

While sketch was never meant to be a geometric modeling language, it comes fairly close. The following example puts all we have seen to work in a very simple model of the human hand. Start by sweeping a line to make a truncated cone, which will be copied over and over again to make the segments of fingers. 

  def O (0,0,0) % origin
  def I [1,0,0] def J [0,1,0] def K [0,0,1] % canonical unit vectors
  def segment {
    def n_faces 8
    sweep { n_faces<>, rotate(360 / n_faces, [J]) } 
      line(proximal_rad, 0)(distal_rad, distal_len)
  }
In hand anatomy, distal is “at the tip” and proximal is “in the area of the palm.” We have omitted all the scalar constants. You can find them in hand.sk, which is provided in the sketch distribution.

We also need a prototypical sphere to use for the joints themselves. 

  def joint_sphere {
    def n_joint_faces 8
    sweep [fillcolor=red] { n_joint_faces, rotate(360 / n_joint_faces, [J]) }
      sweep { n_joint_faces, rotate(180 / n_joint_faces) } 
        (0, -joint_rad)
  }

We'll now design the index finger (number 1 in our notational convention; finger 0 is the thumb). The distal rotation for the finger applies only to the tip, so we define the following. 

  def distal_1 {
    put { translate(joint_gap * joint_rad * [J]) 
          then rotate(distal_1_rot, [I]) 
          then translate((distal_len + joint_gap * joint_rad) * [J]) }
      {segment}
    put { rotate(distal_1_rot / 2, [I])
          then translate((distal_len + joint_gap * joint_rad) * [J]) } 
      {joint_sphere}
    put { scale( [J] + proximal_distal_ratio * ([I]+[K]) ) }
      {segment}
  }
The identifiers here are for size and location constants. The exception is distal_rot_1. This rotation parameter models the flexing of the finger tip. The first put makes a copy of the finger segment that is translated upward just far enough to make room for the spherical joint. Then it applies the distal rotation. Finally it translates the whole assembly upward again to make room for the middle phlanges (the next bone toward the palm). The second put positions the sphere. There is a rotation to place the grid on the sphere surface at an nice angle, then a translation to the base of the distal phlanges, which is also center of its rotation. Finally, the last put positions the middle segment itself.

The middle joint is the next one down, with rotation angle middle_rot_1. When this angle changes, we need all the objects in distal_1 to rotate as a unit. This is the reasoning behind the next definition. 

  def finger_1 {
    put { translate(joint_gap * joint_rad * [J])
          then rotate(middle_1_rot, [I])
          then translate((middle_ratio * distal_len + 
                          joint_gap * joint_rad) * [J]) }
      {distal_1}
    put { scale(proximal_distal_ratio)
          then rotate(middle_1_rot / 2, [I])
          then translate((middle_ratio * distal_len + 
                          joint_gap * joint_rad) * [J]) } 
      {joint_sphere}
    put { scale( middle_ratio * [J] + 
                 proximal_distal_ratio^2 * ([I]+[K]) ) }
      {segment}
  }
This looks very similar to the previous definition, and it is. The important difference is that rather than positioning and rotating a single segment, we position and rotate the entire “assembly” defined as distal_1. The rest is just arithmetic to compute sizes and positions that look nice. The last put places an appropriately shaped segment that is the proximal phlanges, the bone that joins the palm of the hand. This completes the finger itself.

All the other fingers are described identically to this one. We account for the fact that real fingers are different sizes in the next step, which is to build the entire hand.

The hand definition that follows includes a section for each finger. We'll continue with finger 1 and omit all the others. (Of note is that the thumb needs slightly special treatment—an extra rotation to account for its opposing angle. This is clear in the full source code.) Not surprisingly, the hand definition looks very much like the previous two. It should be no surprise that when the rotation parameter meta_1_rot changes, the entire finger rotates! There is an additional rotation that allows the fingers to spread laterally. We say these joints of the proximal phlanges have two degrees of freedom. The joints higher on the finger have only one. Finally, each finger is scaled by a factor to lend it proportion. 

  def hand {
    % finger 1 [all other fingers omitted]
    def scale_1 .85
    put { scale(scale_1) 
          then translate((joint_gap * joint_rad) * [J])
	  then rotate(meta_1_rot, [I])
          then rotate(-spread_rot, [K])
          then translate((proximal_1_loc) - (O)) } 
      {finger_1}
    put { scale(scale_1 * proximal_distal_ratio^2)
          then rotate(meta_1_rot / 2, [I])
          then rotate(-spread_rot, [K])
          then translate((proximal_1_loc) - (O)) } 
      {joint_sphere}

    % palm
    sweep { 1, rotate(6, (0,15,0), [I]) }
      put { rotate(-3, (0,15,0), [I]) } {
        polygon(proximal_1_loc)(proximal_2_loc)
               (proximal_3_loc)(proximal_4_loc)
               (h5)(h6)(h6a)(h9)(h10)
        polygon(h6a)(h7)(h8)(h9)
   }  }
The last section of the definition creates the polytope for the palm of the hand by sweeping a 10-sided polygon through a very short arc (9 degrees). This provides a wedge-shaped profile when viewed from the side. The thick end of the wedge is the wrist. Because the polygon is concave, it is split into into two convex shapes with nine and four vertices.

We can now have fun positioning the hand by adjusting the various rotation angles. The complete source includes definitions with alternatives that include the following views and more.

ex210.pngex220.pngex230.pngex240.png
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4.2 A technical drawing

Let's look at a drawing that represents the kind of problem sketch was meant to solve—a pair of textbook figures regarding a polygonal approximation of a truncated cone. Here are the pictures we will produce.

ex250.png ex260.png

The cone shape is just a swept line with no closure tag and culling turned off. Begin by setting up some useful constants. 

  def O (0,0,0) def I [1,0,0] def J [0,1,0] def K [0,0,1]
  def p0 (1,2) def p1 (1.5,0) def N 8
  def seg_rot rotate(360 / N, [J])
The points p0 and p1 are the end points of the line to be swept. The definition seg_rot is the sweep transformation. With these, the cone itself is simple. 
  sweep[cull=false] { N, [[seg_rot]] } line(p0)(p1)

The axes are next and include an interesing trick that shows the hidden parts as dotted lines. The secret is draw the axes twice—solid lines with the normal hidden surface algorithm in effect, and then dotted with the option lay=over so that no polygons can hide them. 

  def ax (dx,0,0) % tips of the axes
  def ay (0,dy,0)
  def az (0,0,dz)
  line[arrows=<->,linewidth=.4pt](ax)(O)(ay)
  line[arrows=->,linewidth=.4pt](O)(az)
  % repeat dotted as an overlay to hint at the hidden lines
  line[lay=over,linestyle=dotted,linewidth=.4pt](ax)(O)(ay)
  line[lay=over,linestyle=dotted,linewidth=.4pt](O)(az)
  special|\footnotesize
          \uput[d]#1{$x$}\uput[u]#2{$y$}\uput[l]#3{$z$}|
    (ax)(ay)(az)
The labels are applied with PSTricks special objects as usual.

For the height dimension mark, the power of affine arithetic is very helpful. 

  def hdim_ref unit((p1) - (O)) then [[seg_rot]]^2
  def c0 (p0) then scale([J])
  def h00 (c0) + 1.1 * [hdim_ref]
  def h01 (c0) + 1.9 * [hdim_ref]
  def h02 (c0) + 1.8 * [hdim_ref]
  line(h00)(h01)
  def h10 (O) + 1.6 * [hdim_ref]
  def h11 (O) + 1.9 * [hdim_ref]
  def h12 (O) + 1.8 * [hdim_ref]
  line(h10)(h11)
  line[arrows=<->](h02)(h12)
  def hm2 ((h02) - (O) + (h12) - (O)) / 2 + (O)
  special|\footnotesize\rput*#1{$h$}|(hm2)
The general idea employed here is to compute a unit “reference vector” parallel to the xz-plane in the desired direction of the dimension from the origin. The transformation [[seg_rot]]^2 rotates two segments about the y-axis. When applied to (p1) - (O), the resulting vector points to the right as shown. In this manner, we can pick any vertex as the location of the height dimension lines by varying the exponent of [[seg_rot]]. This is only one of many possible strategies.

The computation of hm2 is a useful idiom for finding the centroid of a set of points.

The two radius marks are done similarly, so we present the code without comment. 

  % radius measurement marks
  def gap [0,.2,0]  % used to create small vertical gaps

  % first r1
  def up1 [0,3.1,0] % tick rises above dimension a little
  def r1 ((p1) then [[seg_rot]]^-2) + [up1]
  def r1c (r1) then scale([J])
  def r1t (r1) + [gap]
  def r1b ((r1t) then scale([1,0,1])) + [gap]
  line[arrows=<->](r1c)(r1)  % dimension line
  line(r1b)(r1t)             % tick
  def r1m ((r1) - (O) + (r1c) - (O)) / 2 + (O) % label position
  special |\footnotesize\rput*#1{$r_1$}|(r1m)  % label

  % same drill for r0, but must project down first
  def up0 [0,2.7,0]
  def r0 ((p0) then scale([1,0,1]) then [[seg_rot]]^-2) + [up0]
  def r0c (r0) then scale([J])
  def r0t (r0) + [gap]
  def r0b ((p0) then [[seg_rot]]^-2) + [gap]
  line[arrows=<->](r0c)(r0)
  line(r0b)(r0t)
  def r0m ((r0) - (O) + (r0c) - (O)) / 2 + (O)
  special |\footnotesize\rput*#1{$r_0$}|(r0m)

The second drawing uses the same techniques. Only the method for drawing the elliptical arc is new. Here is the code. 

  def mid ((p00)-(O)+(p10)-(O)+(p11)-(O)+(p01)-(O))/4+(O)
  special|\rput#1{\pscustom{
    \scale{1 1.3}
    \psarc[arrowlength=.5]{->}{.25}{-60}{240}}}|
    [lay=over](mid)
We could have swept a point to make the arc with sketch, but using a PSTricks custom graphic was simpler. Again we computed the centroid of the quadrilateral by averaging points. Note that scaling in Postscript distorts the arrowhead, but in this case the distortion actually looks better in the projection of the slanted face. A sketch arrowhead would not have been distorted.

The complete code for this example, which draws either figure depending on the definition of the tag <labeled>, is included in the sketch distribution in the file truncatedcone.sk. sketch-0.3.7/Doc/sketch/About-sketch.html0100644000076400010400000000753311722043475023010 0ustar freddieresslerAdministrators About sketch - Sketch

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1 About sketch

Sketch is a small, simple system for producing line drawings of two- or three-dimensional objects and scenes. It began as a way to make illustrations for a textbook after we could find no suitable tool for this purpose. Existing scene processors emphasized GUIs and/or photo-realism, both un-useful to us. We wanted to produce finely wrought, mathematically-based illustrations with no extraneous detail.

Sketch accepts a tiny scene description language and generates PSTricks or TikZ/PGF code for LaTeX. The sketch language is similar to PSTricks, making it easy to learn for current PSTricks users. See www.pstricks.de for information on PSTricks. TikZ/PGF is similar. See http://sourceforge.net/projects/pgf. One can easily include arbitrary PSTricks or TikZ/PGF drawings and text over, in, or under sketch drawings, providing access to the full power of LaTeX text and mathematics formatting in a three-dimensional setting. sketch-0.3.7/Doc/sketch/Affine-arithmetic.html0100644000076400010400000001162511722043475023773 0ustar freddieresslerAdministrators Affine arithmetic - Sketch

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2.7.6 Affine arithmetic

The arithmetic [I] * 2.1 above hints at a larger truth. Sketch operators work on scalars, vectors, points, and transforms according to the general rules of affine algebra. This can be helpful for setting up diagrams with computed geometry. For example, if you have triangle vertices (p1) through (p3) and need to draw a unit normal vector pointing out of the center of the triangle, this code does the trick. 

  def p1 (1,0,0)  def p2 (0,0.5,0)  def p3 (-0.5,-1,2)
  def O (0,0,0)
  def N unit( ((p3) - (p2)) * ((p1) - (p2)) )
  def n1 ((p1)-(O) + (p2)-(O) + (p3)-(O)) / 3 + (O)
  def n2 (n1)+[N]
  polygon(p1)(p2)(p3)
  line[arrows=*->](n1)(n2)
The first line computes the cross product of two edge vectors of the triangle and scales it to unit length. The second computes the average of the vertices. Note that subtraction and addition of the origin effectively convert vectors to points and vice versa. The line command draws the normal at the correct spot.
ex100.png

Two caveats regarding this example remain. First, the only way to use PSTricks-style arrows is with arrows=. The alternative syntax for PSTricks arrows is not allowed in sketch. Second, you might like to eliminate the third def and write instead the following. 

  line[arrows=*->](n1) (n1)+[N]
This is not allowed. The point lists in drawables may consist only of explicit points or point references. You may, however, use arithmetic to calculate point components. The following works, though it's a little cumbersome. 
  line[arrows=*->](n1)((n1)'x+(N)'x, (n1)'y+(N)'y, (n1)'z+(N)'z)
Obviously, the tick operator 'x extracts components of points and vectors. sketch-0.3.7/Doc/sketch/Arithmetic.html0100644000076400010400000000551011722043475022541 0ustar freddieresslerAdministrators Arithmetic - Sketch

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3.1.4 Arithmetic expressions

Arithmetic expressions over sketch literals and defined identifiers are summarized in the following tables.

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3.2.7 Blocks

Any sequence of drawables may be grouped in a block merely by enclosing them in braces { }. A block is itself drawable. A key use of blocks is to extend the effect of a single def, Definitions, put Puts, sweep Sweeps, or repeat Repeats to include several objects rather than one.

Definitions (See Definitions.) inside a block have lexical scope extending from the place of definition to the end of the block. sketch-0.3.7/Doc/sketch/Bugs-and-anomalies.html0100644000076400010400000001074311722043475024062 0ustar freddieresslerAdministrators Bugs and anomalies - Sketch

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4.4.3.2 Bugs and anomalies

Polygon and line splitting can both cause anomalies in the output. PSTricks dash patterns, specified with linestyle=dashed, can be disrupted by splitting. This occurs when the depth sort gives up too early and splits a line where it is not really necessary. A workaround is to use gray or finely dotted lines instead. If your drawing is small, you can also edit the sketch output by hand to merge the pieces of the offending line.

Another anomaly is tiny (or in degenerate cases not-so-tiny) notches in the lines that border split polygons. These derive from the way each polygon is painted: first, all pixels within the boundary are filled with color (perhaps white), then the same boundary is stroked (a Postscript term) with a line. The result is that half the line lies inside the boundary and half outside, while the Painter's algorithm assumes the polygon lies entirely within its boundary. The notches are due to one polygon fill operation overwriting the already-drawn inside of the border of another polygon.1 One workaround is to make border lines very thin. In fact linewidth=0pt is guaranteed to eliminate this problem, though this results in the thinnest line your output device can draw, which is usually too thin. You might get lucky by merely reordering things in the input file, which is likely to move the splits to different places. The only sure-fire solution is pretty terrible: custom fit special overlay lines (with \psline) to cover the notches.

Polygon splitting also breaks PSTricks hatch patterns. The only known workaround is to substitute a solid fill for the hatch.

Footnotes

[1] I know how to fix this problem, but I don't like my solution, and I'm interested in yours.

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4 Building a drawing

Successful drawings with sketch and with any scene description language require that the user develop an accurate mental picture of her code and its meaning. This image is best built in small pieces. Therefore, sketch inputs are best created in small increments with frequent pauses to compile and view the results. Careful comments in the input often help as a scene grows in complexity.

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3.4.2 Camera

Syntax: 

     camera transform_expression

The transform_expression is applied after all other transformations of the scene. This is currently only useful for transforming the bounding box. See Picture box. It will play a role in any future implementation of clipping. sketch-0.3.7/Doc/sketch/Caveats.html0100644000076400010400000000613611722043475022043 0ustar freddieresslerAdministrators Caveats - Sketch

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4.4 Caveats

Sketch is a fairly powerful tool for drawing, but, just as with TeX, the power to create beautiful results comes along with the power to make mistakes. The following are some points where care is necessary and where the current version of sketch is limited or has known bugs.

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4.4.2 Clipping

The current version of sketch has no clipping operations. The entire scene is always drawn. This means that when a perspective transform is employed, it is the user's responsibility to make sure the entire scene remains in front of the viewer, the region z<0. sketch-0.3.7/Doc/sketch/Command-line.html0100644000076400010400000001423011722043475022752 0ustar freddieresslerAdministrators Command line - Sketch

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5 Command line

Synopsis: 

     sketch [-h][-V x.y][-v][-b][-d][t doctmp][-T[u|e][p[P|T][L|C]]][-o output.tex]
       [-D tag ...] input1.sk [-U tag ...] input2.sk ...

Description Processes the sketch input files in order to produce PSTricks output code suitable for inclusion in a TeX or LaTeX document.

Options:

-h
Print a short catalog of options.
-V
Set the PSTricks version assumed for output purposes to x.y, for example 1.19. Usually needed only if your PSTricks is old compared to your sketch. Use -v to see what sketch assumes by default.
-v
Print version information to standard output, including the version of PSTricks assumed for output (can be changed with -V above).
-b
Use a BSP (See Hidden surface removal.) for all hidden surface removal rather than the default, which is the depth sort algorithm with BSPs used only for cycle resolution. This may produce correct output in certain degenerate cases where the depth sort cannot, but it also leads to many gratuitous splits, hence more anomalies Bugs and anomalies and big output files.
-d
Run sketch's parser in debugging mode. This is primarily for development.
-t
Use contents of file doctmp as a document template in which to enclose PSTricks output code. The code is inserted in place of the first instance of the escape string %%SKETCH_OUTPUT%%.
-T
Causes PSTricks output to be enclosed in default US document template text. Option -Tu is a synonym. Option -Te causes the Euro standard document template to be used. A p appended to any of these options causes the respective default PSTricks document template to be printed to standard output. An appended P is a synonym. An appended T causes the the TikZ/PGF template to be printed. An appended L prints the LaTeX version of the document template, a synonym for the default. A C prints the ConTeXt template.
-o
Use output.tex as the output file. The default is standard output.
-D
Define a tag for purposes of selecting definition alternatives. See Definitions. The definition applies for all input files that follow unless the tag is undefined with -U.
inputi.sk
Input files, read in the sequence they are given.
-U
Un-define a tag for purposes of selecting definition alternatives.
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1.2 Contributions

If you intend to implement an enhancement of your own, that's terrific! Consider collaborating with us first to see if we're already working on your idea or if we can use your work in the official release.

ex000.png

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3.2.3 Curves

Syntax: 

     curve[options] point_list

This command is the three-dimensional equivalent of the PSTricks command \pscurve. It is not implemented in the current version of sketch. sketch-0.3.7/Doc/sketch/Definitions.html0100644000076400010400000000767211722043475022736 0ustar freddieresslerAdministrators Definitions - Sketch

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3.3 Definitions

Definitions give names to sketch objects. Definitions alone are benign. A sketch input file consisting entirely of definitions will generate no drawing. Only when definitions are referenced do they potentially lead to ink on the drawing.

The intent of definitions is to make sketch code more concise and readable. There is no input file employing definitions that could not be re-written without them.

Definable objects include any result of an affine arithmetic expression (scalar, point, vector, or transform), any drawable object (dots, line, curve, polygon, block, sweep, put, repeat, or special), and option strings. In addition, tag definitions, which have no associated object at all, allow the meaning of other definitions to be selected from a set of alternatives. Since tags may be defined (and undefined) in the command line of sketch, they can be an aid in the script-driven preparation of documents.

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3.1.5.3 Dots in TikZ/PGF

TikZ/PGF does not have a dots command as does PSTricks. Instead, Sketch emits dots as filldraw circles. The diameter may be set using the option dotsize borrowed from PSTricks. The dotsize option will be removed from the option list in the output filldraw command. Other options work in the expected way. For example, fill sets fill color and color sets line color of the circles. sketch-0.3.7/Doc/sketch/Dots.html0100644000076400010400000000523311722043475021363 0ustar freddieresslerAdministrators Dots - Sketch

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3.2.1 Dots

Syntax: 

     dots[options] point_list

This command is the three-dimensional equivalent of the PSTricks command \psdots. sketch-0.3.7/Doc/sketch/Drawables.html0100644000076400010400000000760411722043475022362 0ustar freddieresslerAdministrators Drawables - Sketch

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3.2 Drawables

Drawables are simply sketch objects that might appear in the drawing. They include dots, polylines, curves, polygons, and more complex objects that are built up from simpler ones in various ways. Finally, special objects are those composed of LaTeX or PSTricks code, perhaps including coordinates and angles computed by sketch.

  • Dots: Draw dots.
  • Lines: Draw polylines.
  • Curves: Draw curves.
  • Polygons: Draw polygons.
  • Specials: Embed raw LaTeX and PSTricks.
  • Sweeps: Draw sweeps of dots and polylines.
  • Blocks: Group other drawables.
  • Repeats: Draw transformed copies of objects.
  • Puts: Draw one object transformed.
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2.3 Drawing a solid

Let's try something more exciting. Sketch has no notion of a solid, but polygonal faces can be used to represent the boundary of a solid. To the previous example, let's add three more triangular polygons to make the faces of an irregular tetrahedron. 

  % vertices of the tetrahedron
  def p1 (0,0,1) def p2 (1,0,0)
  def p3 (0,1,0) def p4 (-.3,-.5,-.8)

  % faces of the tetrahedron.
  polygon(p1)(p2)(p3) % original front polygon
  polygon(p1)(p4)(p2) % bottom
  polygon(p1)(p3)(p4) % left
  polygon(p3)(p2)(p4) % rear

  % line to pierce the tetrahedron
  line[linecolor=red](-1,-1,-1)(2,2,2)
This example uses definitions, which begin with def. These define or give names to points, which are then available as references by enclosing the names in parentheses, e.g. (foo). The parentheses denote that the names refer to points; they are required. There can be no white space between them and the name.

As you can see, comments start with % as in TeX and extend to the end of the line (though # will work as well). White space, including spaces, tabs and blank lines, has no effect in the sketch language.

ex040.png

If we look inside the TeX file produced by sketch, there will be only three polygons. The fourth has been culled because it is a “back face” of the tetrahedron, invisible to our view. It is unnecessary, and so it is removed.

In some drawings, polygons act as zero-thickness solid surfaces with both sides visible rather than as the faces of solid objects, where back faces can be culled. For zero-thickness solids, culling is a problem. One solution is to use a pair of sketch polygons for each zero-thickness face, identical except with opposite vertex orders. This is unwieldy and expensive. A better way is to set the sketch internal option cull to false in the usual PSTricks manner. 

  polygon[cull=false](p1)(p2)(p3)
The following shows the same helix shape drawn first with cull=true (the default) and then cull=false.
ex045.png

We'll soon see how to produce these helixes with a few lines of sketch language code.

It may be tempting to turn culling off gratuitously so that vertex order can be ignored. This is not a good idea because output file size and TeX and Postscript processing time both depend on the number of output polygons. Culling usually improves performance by a factor of two. On the other hand, globally setting cull=false is reasonable while debugging. See Global options and Limits on error detection. sketch-0.3.7/Doc/sketch/Drawing-options.html0100644000076400010400000000762611722043475023546 0ustar freddieresslerAdministrators Drawing options - Sketch

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2.2 Options

Many PSTricks and TikZ/PGF options work just fine in sketch. If generating PSTricks, the code 

  polygon[fillcolor=lightgray,linewidth=3pt](0,0,1)(1,0,0)(0,1,0)
  line[linestyle=dotted](-1,-1,-1)(2,2,2)
produces
ex030.png

To produce TikZ/PGF, the corresponding code is 

  polygon[fill=lightgray,line width=3pt](0,0,1)(1,0,0)(0,1,0)
  line[style=dotted](-1,-1,-1)(2,2,2)
  global { language tikz }
The final global instructs sketch to produce TikZ/PGF code as output rather than the default, PSTricks. Note that polygon fill color and line style options both conform to TikZ syntax rules. The resulting TikZ/PGF output is 
  \begin{tikzpicture}[join=round]
  \draw[dotted](-1,-1)--(.333,.333);
  \filldraw[fill=lightgray,line width=3pt](0,0)--(1,0)--(0,1)--cycle;
  \draw[dotted](.333,.333)--(2,2);
  \end{tikzpicture}
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3.3.1 Forms of definitions

Definitions have three possible forms, simple, with alternatives, and tag as shown here in order.

Syntax: 

     def id object  % simple def
     def id <tag_1> object_1  % def with alternatives
            <tag_2> object_2
            ...
            <> default_object
     def id <>  % tag def

The simple definition merely associates object with the identifier id.

The definition with alternatives associates object_i with id, where tag_i is the first defined tag in the list of alternative tag references. If no tag in the list is defined, then default_object is associated with identifier id.

The final form defines id as a tag. Another way to define a tag is with the -D command line option. See Command line. sketch-0.3.7/Doc/sketch/Forms-of-references.html0100644000076400010400000001266411722043475024267 0ustar freddieresslerAdministrators Forms of references - Sketch

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3.3.2 Forms of references

References to defined names are enclosed in bracketing delimiters. The delimiter characters imply the type of the associated value as shown in the table below. A type error is raised if the type of a reference does not match the type of the defined value. The intent of this mechanism is, again, to make sketch input files more readable.

Type Reference
scalar id
point (id)
vector [id]
transform [[id]]
drawable {id}
options [id] or [id1,...,idN]
tag <id>
Note that square brackets [ ] are used both for vector and for options references. Details of sketch syntax make it impossible for these two reference types to be confused. The special multiple reference [id1,id2,...,idN] acts as if the respective lists of options were concatenated. sketch-0.3.7/Doc/sketch/Frame.html0100644000076400010400000000632411722043475021506 0ustar freddieresslerAdministrators Frame - Sketch

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3.4.4 Frame

Syntax: 

     frame [options]

Causes a \psframebox to surround the pspicture environment in the output. If options are present, they are copied as-is. Normally one would want to set linewidth, linestyle, linecolor, etc. If omitted, then framesep=0pt is added so that the frame tightly hugs the pspicture. sketch-0.3.7/Doc/sketch/Global-environment.html0100644000076400010400000000704111722043475024213 0ustar freddieresslerAdministrators Global environment - Sketch

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3.4 Global environment

An optional global environment block provides a few ways to affect the entire scene. The block must appear as the last text in the sketch input file. It may include definitions, but note that previous definitions at the top level (not nested inside blocks) are also available.

Syntax: 

     global { environment_settings }

The contents of environment_settings are discussed in the sections that follow.

  • Global options: Attributes of the entire drawing.
  • Camera: A final camera transformation of the scene.
  • Picture box: Setting the bounding box and 2d clipping.
  • Frame: Adding a box around the drawing.
  • Language: Setting the output language.
sketch-0.3.7/Doc/sketch/Global-options.html0100644000076400010400000000663611722043475023353 0ustar freddieresslerAdministrators Global options - Sketch

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3.4.1 Global options

Syntax: 

     set [ options ]

The contents of options, except for sketch internal options, are copied as-is to a \psset that appears before anything else in the output file. This is a good place to set unit, a default linewidth, etc.

Internal options work on all objects where they make sense. This includes cull and split (but not lay). See Internal options. sketch-0.3.7/Doc/sketch/Helix-with-cull-set-false-then-true.html0100644000076400010400000000016311722043475027220 0ustar freddieresslerAdministrators sketch-0.3.7/Doc/sketch/Hello-world.html0100644000076400010400000001403311722043475022640 0ustar freddieresslerAdministrators Hello world - Sketch

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2.1 Hello world

The sketch program above is nearly the simplest one possible, the equivalent of a “hello world” program you might find at the start of a programming language text. If it is saved in the file simple.sk, then the command 

  sketch simple.sk -o simple.tex
creates a file simple.tex containing PSTricks commands to draw these objects on paper. The contents of simple.tex look like this. 
  \begin{pspicture}(-1,-1)(2,2)
  \pstVerb{1 setlinejoin}
  \psline(-1,-1)(.333,.333)
  \pspolygon[fillstyle=solid,fillcolor=white](0,0)(1,0)(0,1)
  \psline(.333,.333)(2,2)
  \end{pspicture}
The hidden surface algorithm of sketch has split the line into two pieces and ordered the three resulting objects so that the correct portion of the line is hidden.

If you've noticed that the projection we are using seems equivalent to erasing the z-coordinate of the three-dimensional input points, pat yourself on the back. You are correct. This is called a parallel projection. The z-coordinate axis is pointing straight out of the paper at us, while the x- and y-axes point to the right and up as usual.

The resulting picture file can be included in a LaTeX document with \input{simple}. Alternately, adding the command line option -T1 causes the pspicture to be wrapped in a short but complete document, ready to run though LaTeX. In a finished, typeset document, the picture looks like this. (The axes have been added in light gray.)

ex020.png

It is important to know that only the “outside” of a polygon is normally drawn. The outside is where the vertices given in the polygon command appear in counter-clockwise order. Thus, if the command above had been 

  polygon(0,1,0)(1,0,0)(0,0,1)
the polygon would not appear in the picture at all. It would have been culled from the scene. This culling behavior may seem strange, but stay tuned.

Footnotes

[1] Or for European users of A4 size paper, -Te.

sketch-0.3.7/Doc/sketch/Hidden-surface-removal.html0100644000076400010400000001162211722043475024735 0ustar freddieresslerAdministrators Hidden surface removal - Sketch

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4.4.3 Hidden surface removal and polygon splitting

Sketch uses the depth sort algorithm for hidden surface removal. This is a very old technique due to Newell.1 It is generally regarded as too slow for real time graphics, but it is ideal for our purpose where speed is not very important.2

The depth sort algorithm merely sorts objects on a key of increasing z-coordinate, equivalent to decreasing depth. Objects are then drawn in the sorted sequence so that those at the rear of the scene are overwritten by those closer to the viewer. Since this is also how oil painters practice their art, depth sort is sometimes called “the painter's algorithm.”

In some cases it is impossible to strictly order polygons according to depth. Moreover, even if a correct depth ordering exists, the computation needed to find it may be too complex and slow. In these cases, sketch splits one or more polygons into pieces. The expectation is that the new, smaller polygons will be simpler to order. Sketch uses a BSP (binary space partition) to handle the splitting operation.

Footnotes

[1] Newell, M.E., R.G. Newell, and T.L. Sancha, A solution to the hidden surface problem. Proceedings of the ACM annual conference - Volume 1, page 443–450, ACM Press, 1972.

[2] We have run sketch on the famous Stanford Bunny, which consists of nearly 70,000 triangles. Run time was about 6 seconds. Most of this was spent writing the output file rather than in the hidden surface algorithm. LaTeX took much longer to process the resulting PSTricks code. The obvious conclusion is that the speed of the depth sort algorithm is not a worry.

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3.1.1 Identifiers

Identifiers in sketch are references to earlier-defined options, scalars, points, vectors, transforms, drawables, and tags. Definitions are explained in Definitions.

An identifier consists of a leading letter followed by letters, numbers and underscores. The last character may not be an underscore. Keywords cannot be used as identifiers, and reserved words ought to be avoided. See Key and reserved words. sketch-0.3.7/Doc/sketch/Index-of-syntax.html0100644000076400010400000010551411722043475023452 0ustar freddieresslerAdministrators Index of syntax - Sketch

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Index of syntax

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  • affine arithmetic: A technical drawing
  • affine arithmetic: Affine arithmetic
  • alternatives, definition: Forms of definitions
  • argument, special: Special objects
  • argument, special: Specials
  • associativity, operator: Two-operand (binary) forms
  • axis, rotation: Object transforms
  • back face: Drawing a solid
  • baseline fraction: Picture box
  • binary form: Two-operand (binary) forms
  • binary space partition: Command line
  • binary space partition: Hidden surface removal
  • binary space partition: Statistics
  • block: Swept blocks
  • block: Blocks
  • block: Object transforms
  • block sweep: Swept blocks
  • body polygon: Swept polygons
  • body polygon: Swept lines
  • body polygon: Internal options
  • bounding box: Picture box
  • BSP, binary space partition: Command line
  • BSP, binary space partition: Hidden surface removal
  • camera: Camera
  • center of rotation: Object transforms
  • center of rotation: Nested sweeps
  • centroid: A technical drawing
  • clipping: Clipping
  • clipping: Picture box
  • closure tag, <>: Swept lines
  • closure tag, <>: Swept points
  • closure tag, <>: Sweeps
  • closure tag, <>: Polyline sweeps with closure
  • closure tag, <>: Sweep face splitting
  • closure tag, <>: Point sweeps
  • command line option: Hello world
  • command line options: Command line
  • command line, sketch: Hello world
  • command line, sketch: Command line
  • comments: Drawing a solid
  • comments: Language basics
  • constructor: Transform literals
  • coordinate system, right-handed: Introduction by example
  • counter-clockwise polygon vertex order: Hello world
  • culling: Swept lines
  • culling: Drawing a solid
  • culling: Hello world
  • culling: Drawing a solid
  • declarative language: Language basics
  • definition: Drawing a solid
  • definition: Definitions
  • definition with alternatives: Forms of definitions
  • definition, drawable: Object transforms
  • definition, options: Polyline sweeps with closure
  • definition, point: Drawing a solid
  • definition, scalar: Swept objects
  • definition, simple: Forms of definitions
  • definition, tag: Command line
  • definition, tag: Forms of definitions
  • definition, tag: Definitions
  • definition, transform: Overview
  • definition, vector: Polyline sweeps
  • depth sort: Hidden surface removal
  • depth sort: Internal options
  • depth sort: Bugs and anomalies
  • direct transform: Transform literals
  • document template: Command line
  • document template: Hello world
  • drawable: Object transforms
  • drawable: Drawables
  • drawable definition: Object transforms
  • drawable reference: Forms of references
  • end polygon: Swept lines
  • end polygon: Swept polygons
  • faces: Drawing a solid
  • faces: Polyline sweeps
  • file, include: Language basics
  • file, input: Language basics
  • frame box: Frame
  • global options: Drawing options
  • global options: Global options
  • helix: Polyline sweeps
  • helix: Drawing a solid
  • hello world: Hello world
  • hidden surface algorithm: A technical drawing
  • hidden surface algorithm: Hello world
  • hidden surface algorithm: Transform literals
  • hidden surface algorithm: Special objects
  • hidden surface algorithm: Hidden surface removal
  • hierarchical model: A hierarchical model
  • identifiers: Identifiers
  • include file: Language basics
  • input file: Language basics
  • internal option: Special objects
  • internal options: Global options
  • internal options: Internal options
  • keywords: Key and reserved words
  • labels: Special objects
  • language, declarative: Language basics
  • language, output: Language
  • language, scene description: Language basics
  • lexical scope: Blocks
  • lexical scope: Object transforms
  • line sweep: Swept lines
  • line sweep: A technical drawing
  • line sweep: Polyline sweeps
  • literal, point: Point and vector literals
  • literal, scalar: Scalar literals
  • literal, transform: Transform literals
  • literal, vector: Point and vector literals
  • nesting, swept object: Nested sweeps
  • one-operand form: Unary forms
  • operator associativity: Two-operand (binary) forms
  • operator precedence: Two-operand (binary) forms
  • option: Drawing options
  • option, command line: Hello world
  • option, internal: Special objects
  • options: Options
  • options definition: Polyline sweeps with closure
  • options multiple reference: Forms of references
  • options reference: Forms of references
  • options, command line: Command line
  • options, global: Drawing options
  • options, global: Global options
  • options, internal: Internal options
  • options, internal: Global options
  • options, sweep: Polygon sweeps
  • options, sweep: Swept points
  • options, sweep: Swept lines
  • options, sweep: Polyline sweeps
  • options, sweep: Swept lines
  • options, swept object: Polygon sweeps
  • options, swept object: Swept lines
  • options, swept object: Polyline sweeps with closure
  • options, swept object: Swept lines
  • order, polygon vertex: Overview
  • order, polygon vertex: Swept polygons
  • order, polygon vertex: Hello world
  • order, polygon vertex: Swept lines
  • output language: Language
  • outside of a polygon: Hello world
  • parallel projection: Picture box
  • parallel projection: Transform literals
  • parallel projection: Hello world
  • parentheses: Two-operand (binary) forms
  • perspective projection: Overview
  • perspective projection: Transform literals
  • picture box: Picture box
  • planarity of polygons: Polygons
  • planarity of polygons: Sweep face splitting
  • point definition: Drawing a solid
  • point list: Swept points
  • point literal: Point and vector literals
  • point reference: Forms of references
  • point sweep: Swept objects
  • point sweep: Swept points
  • polygon sweep: Polygon sweeps
  • polygon sweep: Swept polygons
  • polygon sweep: A hierarchical model
  • polygon vertex order: Swept lines
  • polygon vertex order: Swept polygons
  • polygon vertex order: Overview
  • polygon vertex order: Swept lines
  • polygon vertex order: Hello world
  • polygon vertex order: Overview
  • polygon, body: Swept polygons
  • polygon, body: Swept lines
  • polygon, body: Internal options
  • polygon, end: Swept polygons
  • polygon, end: Swept lines
  • polygon, outside of: Hello world
  • polygon, planar: Polygons
  • polygon, planar: Sweep face splitting
  • precedence, operator: Two-operand (binary) forms
  • program, hello world: Hello world
  • projection, parallel: Picture box
  • projection, parallel: Hello world
  • projection, parallel: Transform literals
  • projection, perspective: Overview
  • projection, perspective: Transform literals
  • pseudo-options: TikZ/PGF user-defined styles
  • psframebox: Frame
  • pspicture: Picture box
  • PSTricks: About sketch
  • quoting, special: Special objects
  • quoting, special: Specials
  • reference, drawable: Overview
  • reference, drawable: Object transforms
  • reference, drawable: Forms of references
  • reference, drawable: Overview
  • reference, multiple options: Forms of references
  • reference, options: Forms of references
  • reference, options: Polyline sweeps with closure
  • reference, point: Forms of references
  • reference, point: Drawing a solid
  • reference, scalar: Swept objects
  • reference, scalar: Forms of references
  • reference, tag: Forms of definitions
  • reference, tag: Forms of references
  • reference, transform: Overview
  • reference, transform: Forms of references
  • reference, vector: Polyline sweeps
  • reference, vector: Forms of references
  • repeated object: Repeats
  • reserved words: Key and reserved words
  • right hand rule: Object transforms
  • right-hand coordinate system: Introduction by example
  • rotation: Object transforms
  • rotation transform: A hierarchical model
  • rotation transform: Transform literals
  • rotation transform: A hierarchical model
  • rotation, center of: Object transforms
  • rotation, center of: Nested sweeps
  • running sketch: Hello world
  • scalar definition: Swept objects
  • scalar literal: Scalar literals
  • scalar reference: Forms of references
  • scale transform: Transform literals
  • scene description language: Building a drawing
  • scene description language: Language basics
  • scope, identifier: Object transforms
  • scope, identifier: Blocks
  • simple definition: Forms of definitions
  • solid: Drawing a solid
  • special argument substitution: Specials
  • special argument substitution: Special objects
  • special object: Special objects
  • special objects: A technical drawing
  • splitting, line and surface: Hidden surface removal
  • splitting, line and surface: Hello world
  • substitution, special: Special objects
  • surface: Polyline sweeps
  • sweep: Swept objects
  • swept bock: Swept blocks
  • swept line: Polyline sweeps
  • swept line: Swept lines
  • swept line: A technical drawing
  • swept object: Swept objects
  • swept object: Sweeps
  • swept point: Swept points
  • swept point: Swept objects
  • swept polygon: A hierarchical model
  • swept polygon: Polygon sweeps
  • tag definition: Definitions
  • tag definition: Command line
  • tag definition: Forms of definitions
  • tag reference: Forms of definitions
  • tag reference: Forms of references
  • template, document: Command line
  • template, document: Hello world
  • tetrahedron: Drawing a solid
  • tick operator ('): Two-operand (binary) forms
  • tick operator ('): Affine arithmetic
  • TikZ/PGF: About sketch
  • toroid: Nested sweeps
  • transform: Repeats
  • transform: Overview
  • transform: Sweeps
  • transform: Two-operand (binary) forms
  • transform: Object transforms
  • transform definition: Overview
  • transform literal: Transform literals
  • transform reference: Forms of references
  • transform reference: Overview
  • transform, direct: Transform literals
  • transform, rotation: A hierarchical model
  • transform, rotation: Transform literals
  • transform, rotation: A hierarchical model
  • transform, scale: Transform literals
  • transform, translation: Object transforms
  • transform, translation: Transform literals
  • transform, translation: A hierarchical model
  • transform, view: Transform literals
  • translation transform: Transform literals
  • translation transform: A hierarchical model
  • translation transform: Object transforms
  • transparency: Transparency
  • two-operand form: Two-operand (binary) forms
  • unary form: Unary forms
  • vector: Object transforms
  • vector definition: Polyline sweeps
  • vector literal: Point and vector literals
  • vector reference: Forms of references
  • view transform: Transform literals
  • virtual camera: Overview
  • white space: Language basics
  • white space: Drawing a solid
  • white space: Object transforms
    • ">

    Sketch

    Table of Contents

    Next: , Previous: (dir), Up: (dir)


    Sketch

    Copyright © 2005 to 2012 Eugene K. Ressler.

    This manual is for sketch, version 0.3 (build 7), Friday, February 24, 2012, a program that converts descriptions of simple three-dimensional scenes into line drawings. This version generates PSTricks or PGF/TikZ code suitable for use with the TeX document processing system.

    Sketch 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, or (at your option) any later version.

    Sketch 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 sketch; see the file COPYING.txt. If not, see http://www.gnu.org/copyleft.

    --- The Detailed Node Listing ---

    About sketch

    Introduction by example

    Swept objects

    Input language

    Basics

    Literals

    Arithmetic expressions

    Options

    Point lists

    Drawables

    • Dots: Draw dots.
    • Lines: Draw polylines.
    • Curves: Draw curves.
    • Polygons: Draw polygons.
    • Specials: Embed raw LaTeX and PSTricks.
    • Sweeps: Draw sweeps of dots and polylines.
    • Blocks: Group other drawables.
    • Repeats: Draw transformed copies of objects.
    • Puts: Draw one object transformed.

    Sweeps

    Definitions

    Global environment

    • Global options: Attributes of the entire drawing.
    • Camera: A final camera transformation of the scene.
    • Picture box: Setting the bounding box and 2d clipping.
    • Frame: Adding a box around the drawing.
    • Language: Setting the output language.

    Building a drawing

    Caveats

    Hidden surface removal and polygon splitting

    Previous: Index of syntax, Up: Top


    Index of concepts

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    3 Input language

    This chapter describes the sketch input language in detail.

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    6 Building and installing sketch

    Sketch is so small that compiling by brute force is probably best. The following command ought to do the trick on any systems where gcc is installed. Make sure to first change current directories to the place where you have unpacked the sources. 

         gcc *.c -o sketch.exe -lm

    The .exe at the end is necessary for Windows systems. Drop it if your system is some version of Unix. Other C compilers ought to work as just as well. For example, 

         cl *.c -o sketch.exe

    is the correct command for many versions of MS Visual C. In the latest versions, Microsoft has deprecated the -o option and, by default, does not define the __STDC__ macro. This causes problems with some versions of flex, bison, lex, and yacc, which are used to create the sketch scanner and parser. It's nearly always possible to find a set of options that compiles with no errors or warnings, and this means sketch is very likely to work correctly. For example, the Visual C++ 2005 Express Edition compiler (available free of charge from the Microsoft web site), flex version 2.5.4, and bison version 2.1 build error-free with 

         cl -DYY_NEVER_INTERACTIVE=1 -Za -Ox -Fesketch.exe *.c

    For purists, there is also a makefile compatible with GNU make and gcc. The command 

         make

    will build the executable, including the rebuilding of the scanner and parser with flex and bison if you have changed sketch.l or sketch.y respectively.

    While not essential, building the manual is an excellent test of your sketch installation. To build this document in all its myriad forms (assuming you have the necessary conversion programs on your system), use 

         make docs

    The possibilities are listed in this following table.

    Format Converter Pictures Description
    manual.info makeinfo .txt GNU Info.
    manual.dvi texi2dvi .eps TeX typeset output.
    manual.ps texi2dvi,dvips .eps Postscript.
    manual.pdf texi2dvi .pdf Adobe PDF.
    manual.html makeinfo .png A single web page.
    manual/index.html makeinfo .png Linked web pages, one per node.
    All the required tools are included in the standard TeX Live distribution except that an additional open source program epstool is needed to refine the Encapsulated Postscript bounding boxes of sketch-generated figures in the manual. This tool is available in binary form for Windows, and it builds easily with a simple make under linux or Cygwin installations that have development tools installed or under Mac OS X with XCode installed. sketch-0.3.7/Doc/sketch/Internal-options.html0100644000076400010400000001135111722043475023715 0ustar freddieresslerAdministrators Internal options - Sketch

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    3.1.5.6 Internal options

    There are also internal options used only by sketch and not passed on to PSTricks. These are summarized in the following table.

    Key Possible values Description
    cull true, false Turn culling of backfaces on and off respectively for this object. The default value is true.
    lay over, in, under Force this object to be under or over all other objects in the depth sort order created by the hidden surface algorithm. The default value over guarantees that output due to the special will be visible.
    split true, false Turn splitting of sweep-generated body polygons on and off respectively. See Sweeps. The default value true causes “warped” polygons to be split into triangles, which avoids mistakes by the hidden surface algorithm.

    3.1.6 Point lists

    Syntax: 

         (x1,y1,z1)(x2,y2,z2)...

    A sequence of one or more points makes a point list, a feature common to all drawables. Each of the point components is a scalar arithmetic expression. Any point may have the z-component omitted; it will default to z=0.

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    2 Introduction by example

    The sketch input language will seem familiar to users of the PSTricks package for LaTeX. The following program draws a triangular polygon pierced by a line. 

      polygon(0,0,1)(1,0,0)(0,1,0)
  line(-1,-1,-1)(2,2,2)
    The coordinate system is a standard right-handed Cartesian one.
    ex010.png
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    3.1.2 Key and reserved words

    The keywords of sketch are picturebox curve def dots frame global input line polygon put repeat set sweep and then. The sketch parser will note a syntax error if any of these are used in place of a proper identifier.

    In addition, there are reserved words that can currently be defined by the user, but with the risk that future versions of sketch will reject those definitions. The reserved words are acos asin atan2 cos inverse perspective project rotate scale sin special sqrt translate unit and view. sketch-0.3.7/Doc/sketch/Language-basics.html0100644000076400010400000001131111722043475023431 0ustar freddieresslerAdministrators Language basics - Sketch

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    3.1 Basics

    Sketch input is plain ASCII text, usually stored in an input file. It describes a scene, so the sketch language is a scene description language. Sketch input is also declarative. It merely declares what the scene ought to look like when drawing is complete and says very little about how sketch should do its work. Sketch commands are not executed sequentially as in the usual programming language. They merely contribute to that declaration.

    A few syntactic details are important. Case is significant in the sketch language. With a few exceptions, white space is not. This includes line breaks. Comments begin with % or # and extend to the end of the line. You can disable a chunk of syntactically correct sketch code by enclosing it in a def. There is a simple “include file” mechanism. The command 

      input{otherfile.sk}
    causes the contents of otherfile.sk to be inserted as though they were part of the current file. sketch-0.3.7/Doc/sketch/Language.html0100644000076400010400000000725411722043475022202 0ustar freddieresslerAdministrators Language - Sketch

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    3.4.5 Language

         language tikz
     language tikz, context
     language pstricks
     language pstricks, latex

    Sets the output language generated by sketch. The set of options understood by sketch also changes. For example, the PSTricks option linewidth will not be properly handled if language is set to tikz. Similarly, the TikZ option line style (note the space) will not be properly handled if language is set to pstricks. If no language is specified, the default pstricks is used.

    An optional comma followed by latex or context specifies the macro package that the output should assume. This affects the picture environment commands emitted and the document template used with the -T option. See Command line. Note that at the time this manual was generated, PSTricks was not supported by LaTeX or by ConTeXt. sketch-0.3.7/Doc/sketch/Limits-on-error-detection.html0100644000076400010400000000747711722043475025444 0ustar freddieresslerAdministrators Limits on error detection - Sketch

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    4.4.1 Limits on sketch error detection

    Sketch catches many kinds of errors, but not all. For example, options that sketch does not recognize, even incorrect ones, are quietly copied to PSTricks commands in the output. It is also unfortunately easy to produce sketch inputs that lead to no picture at all (improper vertex ordering causes everything to be culled), to pictures that are too big or too small for PSTricks to draw (due to limits of TeX math), and pictures that look nothing like what was intended. A picture with one of these problems can be difficult to “debug.” We offer the following suggestions.

    • Follow the suggested incremental development method described in Overview.
    • Always maintain one or two back-versions of a drawing so that it is easy to fall back to a known-good increment.
    • When using perspective, ensure all finally transformed objects satisfy z<0 and, in fact, do not come very close to the origin at all.
    • Temporarily use cull=false to see where vertex ordering problems lie.
    • Use temporary changes of color of one or more objects to ensure that your understanding of the scene geometry is correct.
    • If PSTricks complains about something, inspect the output directly for clues.
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    3.2.2 Lines

    Syntax: 

         line[options] point_list

    This command is the three-dimensional equivalent of the PSTricks command \psline. sketch-0.3.7/Doc/sketch/Literals.html0100644000076400010400000000624011722043475022230 0ustar freddieresslerAdministrators Literals - Sketch

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    3.1.3 Literals

    Literals in sketch include scalars, points, vectors, and transforms. Literals, along with defined object references, are used in arithmetic expressions. See Arithmetic.

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    2.7.7 More to learn

    This is not the end of the story on sweeps! We invite the reader into the main body of this documentation Sweeps to learn more.

    ex120.png

    Who knows where you'll finish? sketch-0.3.7/Doc/sketch/Nested-sweeps.html0100644000076400010400000001033511722043475023177 0ustar freddieresslerAdministrators Nested sweeps - Sketch

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    2.7.3 Nested sweeps

    When the center point of rotation is omitted, the origin is assumed. When a point has only two coordinates, they are taken as x and y, with z=0 assumed. A toroid is therefore obtained with this code. 

      def n_toroid_segs 20   def n_circle_segs 16
  def r_minor 1          def r_major 1.5
  sweep { n_toroid_segs, rotate(360 / n_toroid_segs, [0,1,0]) }
    sweep { n_circle_segs, rotate(360 / n_circle_segs, (r_major,0,0)) } 
      (r_major + r_minor, 0)
    For intuition, the idea of the code is to sketch a circle to the right of the origin in the xy-plane, then rotate that circle “out of the plane” about the y-axis to make the final figure. This produces the following. (A view rotation and some axes have been added.)
    ex090.png

    This example also shows that the swept object may itself be another sweep. In fact, it may be any sketch expression that results in a list of one or more points or, alternately, a list of one or more polylines and polygons. The latter kind of list can be created with a { }-enclosed block, perhaps following a put or repeat. sketch-0.3.7/Doc/sketch/Object-transforms.html0100644000076400010400000001475411722043475024064 0ustar freddieresslerAdministrators Object transforms - Sketch

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    2.5 Transforms

    Now let's add a second copy of the pierced tetrahedron. We'll rotate the copy 90 degrees about the x-axis with the origin as center of rotation so we can see the back, then translate it to the right—in the positive x-direction—so it doesn't collide with the original. To help us see what's going on, make the back side gray. 

      def pierced_tetrahedron {
    def p1 (0,0,1) def p2 (1,0,0)
    def p3 (0,1,0) def p4 (-.3,-.5,-.8)
    polygon(p1)(p2)(p3)                      % original
    polygon(p1)(p4)(p2)                      % bottom
    polygon(p1)(p3)(p4)                      % left
    polygon[fillcolor=lightgray](p3)(p2)(p4) % rear
    line[linecolor=red](-1,-1,-1)(2,2,2)
  }
  {pierced_tetrahedron}  % tetrahedron in original position
  put { rotate(90, (0,0,0), [1,0,0]) % copy in new position
        then translate([2.5,0,0]) } {pierced_tetrahedron}
    Here the entire code of the previous example has been wrapped in a definition by forming a block with braces (a single item would not need them). The point definitions nested inside the braces are lexically scoped. Their meaning extends only to the end of the block. The outer def is called a drawable definition because it describes something that can be drawn.

    A drawable definition by itself causes nothing to happen until its name is referenced. Drawable references must be enclosed in curly braces, e.g. {foo}, with no intervening white space. In the code above, the first reference {pierced_tetrahedron} is a plain one. Its effect is merely to duplicate the earlier drawing. Almost any series of sketch commands stuff may be replaced with def foo { stuff } {foo} without changing its meaning.

    The put command supplies a second reference, this time with a transform applied first. The rotate transform turns the tetrahedron 90 degrees about the origin. The axis of rotation is the vector [1,0,0]. By the right hand rule, this causes the top of the tetrahedron to rotate toward the viewer and the bottom away. The rule receives its name from the following definition:

    Right hand rule. If the right hand is wrapped around any axis with the thumb pointing in the axis direction, then the fingers curl in the direction of positive rotation about that axis.
    The translate transform moves the pyramid laterally to the right by adding the vector [2.5,0,0] to each vertex coordinate. The result is shown here.
    ex050.png
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    3.1.5 Options

    Syntax: 

         [key1=val1,key2=val2,...]

    Options are used to specify details of the appearance of drawables. As shown above, they are given as comma-separated key-value pairs.

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    4.1 Overview

    As an overview, let's develop a diagram that shows how a perspective projection transform works. We'll start with the traditional reference object used in computer graphics textbooks, a house-shaped prism. Begin by defining the points of the house. Rather than defining the faces of the house as polygons and transforming those, we are going to transform the points themselves with sketch arithmetic so that we have names for the transformed points later. 

      % right side (outside to right)
  def R1 (1,1,1) def R2 (1,-1,1) def R3 (1,-1,-1) def R4 (1,1,-1)
  def R5 (1,1.5,0)

  % left side (outside to right--backward)
  def W  [2,0,0]
  def L1 (R1)-[W] def L2 (R2)-[W] def L3 (R3)-[W] def L4 (R4)-[W]
  def L5 (R5)-[W]
    To add a door to the house, we use a polygon slightly in front of the foremost face of the house. 
      % door
  def e .01
  def D1 (0,-1,1+e) def D2 (.5,-1,1+e) def D3 (.5,0,1+e) def D4 (0,0,1+e)
    Now let's create a new set of points that are a to-be-determined transform of the originals. 
      def hp scale(1) % house positioner
  def pR1 [[hp]]*(R1) def pR2 [[hp]]*(R2) def pR3 [[hp]]*(R3)
  def pR4 [[hp]]*(R4) def pR5 [[hp]]*(R5)
  def pL1 [[hp]]*(L1) def pL2 [[hp]]*(L2) def pL3 [[hp]]*(L3)
  def pL4 [[hp]]*(L4) def pL5 [[hp]]*(L5)
  def pD1 [[hp]]*(D1) def pD2 [[hp]]*(D2) def pD3 [[hp]]*(D3)
  def pD4 [[hp]]*(D4)
    Note the use of a transform definition and transform references. Now define the seven polygonal faces of the house and the door using the transformed points as vertices. Be careful with vertex order! 
      def rgt polygon (pR1)(pR2)(pR3)(pR4)(pR5)
  def lft polygon (pL5)(pL4)(pL3)(pL2)(pL1)
  def frt polygon (pR2)(pR1)(pL1)(pL2)
  def bck polygon (pR4)(pR3)(pL3)(pL4)
  def tfr polygon (pR1)(pR5)(pL5)(pL1)
  def tbk polygon (pR5)(pR4)(pL4)(pL5)
  def bot polygon (pR2)(pL2)(pL3)(pR3)
  def door polygon[fillcolor=brown] (pD1)(pD2)(pD3)(pD4)
  def house { {rgt}{lft}{frt}{bck}{tfr}{tbk}{bot}{door} }
    Time for a sanity check. Add the line 
      {house}
    and this is what we get.
    ex130.png

    This is correct, but does not reveal very much. Common errors are misplaced vertices and polygons missing entirely due to incorrect vertex order. To rule these out, let's inspect all sides of the house. This is not hard. Merely replace the reference {house} with a repeat. See Repeats. 

      repeat { 13, rotate(30, [1,2,3]), translate([3,0,0]) } {house}
    ex140.png

    Again things look correct. Note that the hidden surface algorithm handles intersecting polygons correctly where some copies of the house overlap.

    Let's lay out the geometry of perspective projection of the house onto a plane with rays passing through the origin. Begin by positioning the house twelve units back on the negative z-axis and adding a set of coordinate axes. To move the house we need only change the “house positioning” transform defined earlier. 

      def hp rotate(-40, [0,1,0]) then translate([0,0,-12])
  def axes {
    def sz 1
    line [arrows=<->] (sz,0,0)(O)(0,sz,0)
    line [arrows=->]  (O)(0,0,sz)
    line [linewidth=.2pt,linecolor=blue,linestyle=dashed] (O)(0,0,-10)
    special |\uput[r]#1{$x$}\uput[u]#2{$y$}\uput[l]#3{$z$}|
      (sz,0,0)(0,sz,0)(0,0,sz)
  }

    Time for another test. Let's build a real view transform, creating a virtual camera to look at the scene we are constructing. Replace the repeat with 

      def eye (10,4,10)
  def look_at (0,0,-5)
  put { view((eye), (look_at)) } { {house}{axes} }
    The view transform repositions the scene so that the point eye is at the origin and the direction from eye to look_at is the negative z-axis. This requires a rotation and a translation that are all packed into the constructor view.
    ex150.png

    This is starting to look good! Add the projection plane half way between the origin and the house at z=-5. We'll try the angle argument feature of special to position a label. 

      def p 5 % projection distance (plane at z=-p)
  def projection_plane {
    def sz 1.5
    polygon (-sz,-sz,-p)(sz,-sz,-p)(sz,sz,-p)(-sz,sz,-p)
    special |\rput[b]#1-2#3{\footnotesize\sf projection plane}| 
      (-sz,-sz,-p)(sz,-sz,-p)(0,-sz+.1,-p)
  }
    Add {projection_plane} to the list of objects in the put above.
    ex160.png

    The way we constructed the points of the house now makes it easy to draw rays of projection. We'll cast one ray from every visible vertex of the house and define options so the appearance of all rays can be changed at the same time. 

      def projection_rays {
    def rayopt [linewidth=.3pt,linecolor=lightgray]
    line [rayopt](O)(pR1) line [rayopt](O)(pR2) line[rayopt](O)(pR3)
    line [rayopt](O)(pR4) line [rayopt](O)(pR5)
    line [rayopt](O)(pL1) line [rayopt](O)(pL2) line[rayopt](O)(pL5)
    line [rayopt](O)(pD1) line [rayopt](O)(pD2) 
    line [rayopt](O)(pD3) line [rayopt](O)(pD4) 
  }
    The result is shown here.
    ex170.png

    The rays pierce the projection plane at the corresponding points on the perspective image we are trying to draw. Albrecht Dürer and his Renaissance contemporaries had the same idea in the early 1500's.

    duerer.png

    All that's left is to find a way to connect the points of the house on the projection plane. We could pull out a good computer graphics text, find the necessary matrix, and enter it ourselves as a transform literal. See Transform literals. That work is already done, however. We can use the project(p) constructor.

    There are still some details that require care. Projection will flatten whatever is transformed onto the plane z=-p. Therefore any part of the house could disappear behind the projection plane (the hidden surface algorithm orders objects at the same depth arbitrarily). The door may also disappear behind the front of the house. To make sure everything remains visible, we'll place the house a tiny bit in front of the projection plane and a second copy of the door in front of the house. 

      def projection {
    % e is a small number defined above
    put { project(p) then translate([0,0,1*e]) } {house}
    put { project(p) then translate([0,0,2*e]) } {door}
  }
    ex180.png

    If you have studied and understand all this, you are well on the way to success with sketch. Not shown are the 20 or so iterations that were required to find a reasonable viewing angle and house position, etc. Nonetheless, this drawing was completed in about an hour. While a GUI tool may have been a little faster, it is unlikely that a new drawing, itself a perspective projection of the scene, could be generated with two more minutes' work! Just change the view transform to 

      put { view((eye), (look_at)) then perspective(9) } { ...
    and produce this.
    ex190.png
    sketch-0.3.7/Doc/sketch/Picture-box.html0100644000076400010400000000761011722043475022654 0ustar freddieresslerAdministrators Picture box - Sketch

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    3.4.3 Picture box

    Syntax: 

         picturebox[baseline]
     picturebox[baseline] (p1)(p2)

    The first form of picturebox causes a scalar baseline fraction to be emitted in the pspicture environment of the output. See PSTricks documentation for pspicture.

    In the second form, the baseline fraction is optional, and the two points that follow define the diagonal of a three-dimensional bounding box for the completed scene. The parallel projection of the bounding box determines the corners of the drawing's pspicture* environment, which is used in place of pspicture. This causes PostScript to clip the final drawing to the bounding box in 2d. If there is a camera specified, the camera tranformation is applied to the bounding box, and the pspicture is set just large enough to include the transformed box.

    When no bounding box is given, sketch computes one automatically. sketch-0.3.7/Doc/sketch/Point-and-vector-literals.html0100644000076400010400000000577511722043475025433 0ustar freddieresslerAdministrators Point and vector literals - Sketch

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    3.1.3.2 Point and vector literals

    Points and vector literals have these forms respectively. 

         (X,Y,Z)  [X,Y,Z]

    Each of the components is itself a scalar expression. The z-components are optional and default to zero. sketch-0.3.7/Doc/sketch/Point-sweeps.html0100644000076400010400000000720511722043475023050 0ustar freddieresslerAdministrators Point sweeps - Sketch

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    2.7.1 Point sweeps

    Sweeping a point makes a one-dimensional path, which is a polyline. Since we have swept with a rotation, the result is a circular arc. Here is what it looks like.

    ex070.png

    This is the first example we have seen of sketch arithmetic. The expression 180 / n_segs causes the eight rotations to add to 180. If you're paying attention, you'll have already noted that there are nine points, producing eight line segments.

    You can cause the swept point to generate a single polygon rather than a polyline by using the closure tag <> after the number of swept objects. Code and result follow 

      def n_segs 8
  sweep { n_segs<>, rotate(180 / n_segs, (0,0,0), [0,0,1]) } (1,0,0)
    ex080.png
    sketch-0.3.7/Doc/sketch/Polygon-sweeps.html0100644000076400010400000000615011722043475023404 0ustar freddieresslerAdministrators Polygon sweeps - Sketch

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    2.7.4 Polygon sweeps

    Sweeping a polygon creates a closed surface with polygons at the ends, which are just copies of the original, appropriately positioned. See Solid coil example. Options on the swept polygon, if they exist, are applied to the ends. Otherwise the sweep options are used throughout. sketch-0.3.7/Doc/sketch/Polygons.html0100644000076400010400000000570711722043475022272 0ustar freddieresslerAdministrators Polygons - Sketch

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    3.2.4 Polygons

    Syntax: 

         polygon[options] point_list

    This command is the three-dimensional equivalent of the PSTricks command \pspolygon. The sketch hidden surface algorithm assumes that polygons are convex and planar. In practice, drawings may well turn out correctly even if these assumptions are violated. sketch-0.3.7/Doc/sketch/Polyline-sweeps-with-closure.html0100644000076400010400000001153411722043475026175 0ustar freddieresslerAdministrators Polyline sweeps with closure - Sketch

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    2.7.5 Polyline sweeps with closure

    A polyline sweep with a closure tag creates another kind of closed surface. First, the polyline segments are connected by faces, just as without the closure tag. Then, each set of end points is joined to make a polygon, one for each end. A code for several views of a cylindrical prism follows. 

      def n_cyl_segs 20  def n_views 5  def I [1,0,0]
  def endopts [fillcolor=lightgray]
  repeat { n_views, rotate(180/n_views, [I]) then translate([I] * 2.1) } 
    sweep[endopts]{ n_cyl_segs<>, rotate(360/n_cyl_segs, [0,1,0]) } 
      line[fillcolor=white](1,-1)(1,1)
    It produces this drawing.
    ex110.png

    The options of the swept line, if any, are applied to the faces produced by sweeping the line, but not the end polygons. Otherwise, the sweep options are applied throughout. The def in this example is an option definition. References to options must be enclosed in square brackets, e.g.  [foo]. You can concatenate several sets of options with a single reference, e.g.  [color, size, style] would cause the option definitions for color, size, and style to appear in sequence in the output created by the sketch command containing the reference. Happily, the syntax of sketch is such that options references can never be confused with vector references. While not apparent in this example, options references are useful when defining many objects with a similar appearance. sketch-0.3.7/Doc/sketch/Polyline-sweeps.html0100644000076400010400000001005711722043475023551 0ustar freddieresslerAdministrators Polyline sweeps - Sketch

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    2.7.2 Polyline sweeps

    Sweeping a polyline produces a surface composed of many faces. The unbroken helix in the example Helix with cull set false then true is produced by this code (plus a surrounding put rotation to make an interesting view; this has been omitted). 

      def K [0,0,1]
  sweep[cull=false] {
    60, 
    rotate(10, (0,0,0), [K]) then translate(1/6 * [K]) 
  } line[linewidth=2pt](-1,0)(1,0)
    Again, 60 segments of the helix are produced by connecting 61 instances of the swept line. Options applied to the sweep, here cull=false, are treated as options for the generated polygon or polyline. Options of the swept line itself, here linewidth=2pt, are ignored, though with a warning. This def is a vector definition, which must be referenced with square brackets, e.g. [foo]. sketch-0.3.7/Doc/sketch/PSTricks-options.html0100644000076400010400000000721611722043475023650 0ustar freddieresslerAdministrators PSTricks options - Sketch

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    3.1.5.1 PSTricks options

    When language pstricks is selected (the default), permissible key-value pairs include all those for similar PSTricks objects. For example, a polygon might have the options 

      [linewidth=1pt,linecolor=blue,fillcolor=cyan]
    Sketch merely passes these on to PSTricks without checking or modification. Option lists are always optional. A missing options list is equivalent to an empty one [].

    When a polygon has options for both its face and its edges, and the polygon is split by the hidden surface algorithm, sketch must copy the edge options to pslines for the edge segments and the face options to pspolygons. Options known to sketch for purposes of this splitting operation include arrows, dash, dotsep, fillcolor, fillstyle, linecolor, linestyle, linewidth, opacity, showpoints, strokeopacity, and transpalpha. sketch-0.3.7/Doc/sketch/Puts.html0100644000076400010400000000475211722043475021412 0ustar freddieresslerAdministrators Puts - Sketch

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    3.2.9 Puts

    Syntax: 

         put { T } put_object

    Put merely applies transform T to the drawable put_object. sketch-0.3.7/Doc/sketch/Repeated-objects.html0100644000076400010400000000616511722043475023637 0ustar freddieresslerAdministrators Repeated objects - Sketch

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    2.6 Repeated objects

    To draw seven instances of the tetrahedron, each differing from the last by the same transform, replace the last two commands of the previous example with 

      repeat { 7, rotate(15, (0,0,0), [1,0,0]) % copy in new position
              then translate([2,0,0]) } {pierced_tetrahedron}
    And the result....
    ex060.png
    sketch-0.3.7/Doc/sketch/Repeats.html0100644000076400010400000000651411722043475022060 0ustar freddieresslerAdministrators Repeats - Sketch

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    3.2.8 Repeats

    Syntax: 

         repeat { n, T_1, T_2, ..., T_r } repeated_object

    The repeat makes n transformed copies of repeated_object (including the original). The T_i are transforms. The k'th copy of the repeated_object (for k=0,1,...,n-1) is produced in the same manner as for sweeps described in Sweeps. This is repeated here (no pun intended) for convenience. To make the k'th copy, the following transform is applied to the original object. 

         T_1^k then T_2^k then ... then T_r^k

    Here T^k means “transform T applied k times.” sketch-0.3.7/Doc/sketch/Reporting-bugs.html0100644000076400010400000000662011722043475023362 0ustar freddieresslerAdministrators Reporting bugs - Sketch

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    1.1 Reporting bugs and recommending improvements.

    The group http://groups.google.com/group/sketch-users is the best place to report bugs and make improvements. A second method that will probably produce a slower response is email to sketch@frontiernet.net. We will try to respond, but can't promise. In any event, don't be offended if a reply is not forthcoming. We're just busy and will get to your suggestion eventually.

    For bugs, attach a sketch input file that causes the bad behavior. Embed comments that explain what to look for in the behavior of sketch or its output.

    A recommendation for improvement from one unknown person counts as one vote. We use overall vote tallies to decide what to do next as resources permit. We reserve the right to assign any number of votes to suggestions from people who have been helpful and supportive in the past. sketch-0.3.7/Doc/sketch/Right-hand-rule.html0100644000076400010400000000013111722043475023374 0ustar freddieresslerAdministrators sketch-0.3.7/Doc/sketch/Scalar-literals.html0100644000076400010400000000560611722043475023500 0ustar freddieresslerAdministrators Scalar literals - Sketch

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    3.1.3.1 Scalar literals

    Scalar literals are positive floating point numbers with syntax according to C conventions. The following are some examples. 

         0 1004 .001 8.3143 3. 1.60E-19 6.02e+23

    Scalar literals may not contain embedded spaces. sketch-0.3.7/Doc/sketch/Solid-coil-example.html0100644000076400010400000000013011722043475024070 0ustar freddieresslerAdministrators sketch-0.3.7/Doc/sketch/Special-objects.html0100644000076400010400000001451711722043476023467 0ustar freddieresslerAdministrators Special objects - Sketch

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    2.4 Special objects

    We can add labels to a drawing by using special objects, which provide a way to embed raw LaTeX and PSTricks code. Adding this to the tetrahedron does the trick. 

      special |\footnotesize
           \uput{2pt}[ur]#1{$P1$}
           \uput[r]#2{$P2$}
           \uput[u]#3{$P3$}
           \uput[d]#4{$P4$}|
    (p1)(p2)(p3)(p4)
    Here is the result.
    ex042.png

    There are several details to note here. First, the quoting convention for the raw code is similar to the LaTeX \verb command. The first non-white space character following special is understood to be the quote character, in this case |. The raw text continues until this character recurs.

    Second, the argument references #1, #2, #3, and #4 refer to point, vector, or scalar values in the list that follow. This is similar to TeX macro syntax. The transformed and two-dimensional projections of these three-dimensional points are substituted in the final output. An argument reference of the form #1-2 is replaced with the angle in degrees of the two-dimensional vector that connects the projections of the two respective argument points, here #1 and #2. The substituted angle is enclosed in curly braces { }. When TikZ/PGF output is being generated, the angle is rounded to the nearest degree because non-integer angles are not allowed by TikZ/PGF primitives.

    As of Version 0.3 of sketch, special arguments may be scalars or vectors in addition to points. References to scalar arguments are merely replaced with a number formatted just as any point coordinate. References to vectors become two-dimensional points. The tick operator that selects individual components of points and vectors elsewhere in sketch (see for example Affine arithmetic) can also be applied to point and vector argument references. All three dimensions of a transformed point or vector can also be substitued with '3. See Specials for details.

    By default, special objects are printed last, overlaying all other objects in the scene. If you specify the internal option lay=in, the hidden surface algorithm considers the entire special object to be the first point (#1) in the argument list. If that point is behind (of smaller z-component than) any drawable, then the entire special object is drawn before that drawable, so the drawable obscures parts of the special object that overlaps it. In our example, p1 is the front-most point in the scene (has the largest z-component), so adding lay=in has no effect.

    With option lay=under, a special is drawn before, hence appears under any of the objects handled by the hidden surface algorithm. This is how the light gray axes were added to the “hello world” example Hello world.

    Special objects are powerful, with many possible uses. sketch-0.3.7/Doc/sketch/Specials.html0100644000076400010400000001330111722043476022211 0ustar freddieresslerAdministrators Specials - Sketch

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    3.2.5 Specials

    Syntax: 

         special $raw_text$[options] arg_list

    Here $ can be any character and is used to delimit the start and end of raw_text. The command embeds raw_text in the sketch output after performing substitutions as follows.

    • #i where i is a positive integer is replaced by the i'th value in arg_list. Point and vector arguments become two-dimensional points, which are the transformed 3d arguments projected onto the x-y plane. This allows two-dimentional output elements such as labels to be easily positioned with respect to three-dimensional features in the drawing. Scalar arguments are subsituted directly. No transformation is applied.
    • #{i} is also replaced as above.
    • #i'2 is replaced as above for points or vectors. It is an error for the i'th argument to be a scalar.
    • #i'x, #i'y, or #i'z is replaced, respectively, by the scalar x, y, or z-coordinate of the argument point or vector. It is an error for the i'th argument to be a scalar.
    • #i'3 is replaced by the three-dimensional transformed argument. Note that if a perspective transformation has been applied, the z-coordinate has little geometric significance, though it accurately indicates relative depth.
    • #i-j where i and j are positive integers is replaced by a string {angle} where angle is the polar angle of a vector from the i'th point in point_list to the j'th point projected into the x-y plane. It is an error for the i'th or j'th argument to be a scalar or a vector.
    • #{i-j} is also replaced as above.
    • ## is replaced with #.
    The forms with braces { } are useful when the argument is immediately followed by a digit or a tick character that is part of the TeX code.

    The only useful option of special is lay, which determines if the substitued raw text is emitted before, after, or using the first point in point_list as an indicator of depth. These occur, respectively, with lay=under, lay=over, and lay=in. See Special objects and TikZ/PGF user-defined styles for examples. See Internal options. sketch-0.3.7/Doc/sketch/Statistics.html0100644000076400010400000000765411722043476022616 0ustar freddieresslerAdministrators Statistics - Sketch

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    4.4.3.1 Statistics

    For the curious, sketch writes one line of depth sort statistics. Here is an example for a large collection of triangles. 

      remark, node=34824 probe=581.9 swap=5 split=2 (in=4 out=6) ols=24851/0
    It means that 34,824 objects were depth sorted after culling. For each, an average of 581.9 others had to be checked to ensure that the initial, approximate ordering was correct. Among all these checks, only 5 resulted in swaps to reorder the initial sort. In two cases, a correct ordering could not be determined, so binary space partitions were constructed for splitting. A total of 4 objects (triangles in this case) were inserted in the partitions, and 6 polygons were produced. Finally, 24,851 “last resort” polygon overlap checks were performed after simpler, faster checks failed to yield conclusive results. The final /0 is for line-polygon overlap checks. For comparison, the statistics for the last figure in Overview follow. 
      remark, node=27 probe=14.6 swap=36 split=15 (in=30 out=45) ols=0/69
    Note that there was proportionally much more swapping and splitting activity in this highly connected scene. sketch-0.3.7/Doc/sketch/Sweep-face-splitting.html0100644000076400010400000000603011722043476024441 0ustar freddieresslerAdministrators Sweep face splitting - Sketch

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    3.2.6.5 Sweep face splitting

    Before sending each four-sided body polygon of a sweep to the output, sketch tests to see if it is roughly planar. Since planarity is necessary for proper functioning of the hidden surface algorithm, “warped” polygons are automatically split into two triangles.

    Hole-filling polygons produced by closure-tagged line sweeps are not split. Nor are original polygons in polygon sweeps. It is the user's responsibility to ensure these are planar. sketch-0.3.7/Doc/sketch/Sweeps.html0100644000076400010400000001113011722043476021712 0ustar freddieresslerAdministrators Sweeps - Sketch

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    3.2.6 Sweeps

    Syntax: 

         sweep { n, T_1, T_2, ..., T_r }[options] swept_object
     sweep { n<>, T_1, T_2, ..., T_r }[options] swept_object

    The sweep connects n (or perhaps n+1) copies of swept_object in order to create a new object of higher dimension. The T_i (for i between 1 and r) are transforms. The k'th copy of swept_object is produced by applying the following transform to the original. 

         T_1^k then T_2^k then ... then T_r^k

    Here T^k means “transform T applied k times.” The original object is the zero'th copy, with k=0 and effectively no transform applied (T^0=I, the identity transform).

    The method of connecting the copies depends on the type of swept_object and on whether the closure tag <> is present or not.

    An example of a sweep where r=2 is the Mobius figure at More to learn.

    sketch-0.3.7/Doc/sketch/Swept-blocks.html0100644000076400010400000000646511722043476023040 0ustar freddieresslerAdministrators Swept blocks - Sketch

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    3.2.6.4 Swept blocks

    The swept object swept_object may also be any collection of polylines and polygons. This may be a block composed of line and/or polygon commands in braces { }, or it may be the result of a repeat, another sweep, etc. The sweep acts independently on each object in the block exactly as if it were a single swept object described above in Swept lines and Swept polygons. sketch-0.3.7/Doc/sketch/Swept-lines.html0100644000076400010400000001437711722043476022676 0ustar freddieresslerAdministrators Swept lines - Sketch

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    3.2.6.2 Swept lines

    If swept_object is a polyline and there is no closure tag, then sweep connects n+1 successive copies of the polyline (including the original) with four-sided polygons, each pair of copies giving rise to a “polygon strip.” If there are m points in the original polyline, then (m-1)n polygons are formed by the sweep. We call these body polygons. In this manner, sweep forms a two-dimensional surface from from a one-dimensional polyline.

    The order of vertices produced by sweep is important. If a polygon's vertices do not appear in counter-clockwise order in the final image, the polygon will be culled (unless cull=false is set). If the points in the k'th copy of the polyline are P_1, P_2, ..., P_m, and the points in the next copy, the (k+1)st, are P_1', P_2', ..., P_m', then the vertex order of the generated polygons is 

         Body polygon 1: P_2 P_1 P_1' P_2'
     Body polygon 2: P_3 P_2 P_2' P_3'
     ...
     Body polygon m-1: P_m P_m-1 P_m-1' P_m'

    Options of unclosed line sweeps are copied to each output polygon. Options of the swept line are ignored. When there is a closure tag, then sweep connects n successive copies of the polyline (including the original) with four-sided body polygons just as the case with no closure tag. It then connects the last copy back to the original to form a ribbon-shaped surface that closes on itself with two holes remaining.

    Finally, the sweep adds two more polygons to seal the holes and form a closed surface that, depending on the sweep transforms, may represent the boundary of a solid. In this manner, sweep forms the boundary of a three-dimensional object from a one-dimensional polyline. We call these hole-filling polygons ends. The order of vertices of end polygons is important for correct culling as described above. If P_1^1, P_1^2, ..., P_1^n are the n copies of the first polyline point and P_m^1, P_m^2, ... ,P_m^n are the n copies of the last polyline point, then the end polygon vertex order is 

         End polygon 1: P_1^n, P_1^n-1, ... ,P_1^1
     End polygon 2: P_m^1, P_m^2, ... ,P_m^n

    If there are no options on the swept line, then the sweep options are copied to each output polygon. If the swept line does have options, these are copied to corresponding body polygons; the sweep options are copied to the end polygons. In this manner, body and ends may be drawn with different characteristics such as fillcolor. sketch-0.3.7/Doc/sketch/Swept-objects.html0100644000076400010400000001040411722043476023200 0ustar freddieresslerAdministrators Swept objects - Sketch

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    2.7 Swept objects

    Many familiar shapes can be generated by sweeping simpler ones through space and considering the resulting path, surface, or volume. Sketch implements this idea in the sweep command. 

      def n_segs 8
  sweep { n_segs, rotate(180 / n_segs, (0,0,0), [0,0,1]) } (1,0,0)
    This code sweeps the point (1,0,0) eight times by rotating it 180/8 = 22.5 degrees each time and connecting the resulting points with line segments. The def used here is a scalar definition. References to scalars have no enclosing brackets at all. sketch-0.3.7/Doc/sketch/Swept-points.html0100644000076400010400000000764211722043476023075 0ustar freddieresslerAdministrators Swept points - Sketch

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    3.2.6.1 Swept points

    If swept_object is a point list and there is no closure tag, then sweep connects n+1 successive copies of each point (including the original) with straight line segments to form a polyline. If there are m points in the original point list, then m polylines with n segments each are formed by the sweep. In this manner, sweep forms a set of one-dimensional objects (polylines) from zero-dimensional ones (points).

    When there is a closure tag, sweep connects n successive copies of each point (including the original) with straight line segments and finally connects the last copy back to the original to form a polygon with n sides. If there are m points in the original point list, then m polygons with n sides each are formed by the sweep. In this manner, sweep forms a set of two-dimensional objects (polygons) from zero-dimensional ones (points).

    Options of the sweep are copied directly to the resulting polyline(s). sketch-0.3.7/Doc/sketch/Swept-polygons.html0100644000076400010400000001056511722043476023431 0ustar freddieresslerAdministrators Swept polygons - Sketch

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    3.2.6.3 Swept polygons

    If swept_object is a polygon, the sweep connects n+1 successive copies of the closed polyline border of the polygon to form body polygons exactly as though the border were a swept polyline as described in Swept lines. If there are m points in the original polygon, then mn body polygons are formed by this sweep. The body polygons form an extrusion of the boundary of the original polygon with two holes at the open ends.

    Finally, the sweep adds two copies of the original polygon to cover the holes. We call these hole-filling polygons ends. In this manner, sweep forms the boundary of a three-dimensional object from a two-dimensional polygon.

    The order of vertices of end polygons is important for correct culling as described above. An exact copy of the original polygon with vertex order intact forms the first end polygon. The other end polygon results from transforming and the reversing the order of vertices in the original. The transform places the original polygon at the uncovered hole; it is 

         T_1^n then T_2^n then ... then T_r^n.

    If there are no options on the swept polygon, then the sweep options are copied to each output polygon. If the swept polygon does have options, these are copied to the ends; the sweep options are copied to the body polygons. In this manner, body and ends may be drawn with different characteristics such as fillcolor. sketch-0.3.7/Doc/sketch/TikZ_002fPGF-options.html0100644000076400010400000001106011722043476024104 0ustar freddieresslerAdministrators TikZ/PGF options - Sketch

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    3.1.5.2 TikZ/PGF options

    TikZ/PGF options are handled much as for PSTricks. Though TikZ/PGF often allows colors and styles to be given without corresponding keys, for example, 

      \draw[red,ultra thick](0,0)--(1,1);
    this is not permitted in sketch. To draw a red, ultra-thick line in sketch, the form is 
      line[draw=red,style=ultra thick](0,0)(1,1)

    Just as for PSTricks, when a polygon has options for both its face and its edges, and the polygon is split by the hidden surface algorithm, sketch must copy the edge options to pslines for the edge segments and the face options to pspolygons. TikZ/PGF options known to sketch for purposes of this splitting operation include arrows, cap, color, dash pattern, dash phase, double, double distance, draw, draw opacity, fill, fill opacity, join, line width, miter limit, pattern, pattern color, and style.

    The style option can contain both face and edge information, so sketch must check the style value. Values known to sketch include dashed, densely dashed, densely dotted, dotted, double, loosely dashed, loosely dotted, nearly opaque, nearly transparent, semithick, semitransparent, solid, thick, thin, transparent, ultra nearly transparent, ultra thick, ultra thin, very nearly transparent, very thick, and very thin. sketch-0.3.7/Doc/sketch/TikZ_002fPGF-user_002ddefined-styles.html0100644000076400010400000001212211722043476026754 0ustar freddieresslerAdministrators TikZ/PGF user-defined styles - Sketch

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    3.1.5.4 TikZ/PGF user-defined styles

    TikZ/PGF allows named styles defined by the user, for example 

      \tikzstyle{mypolygonstyle} = [fill=blue!20,fill opacity=0.8]  
  \tikzstyle{mylinestyle} = [red!20,dashed]
    Since sketch has no information on the contents of such styles, it omits them entirely from lines, polygons, and their edges during option splitting. For example, 
      polygon[style=mypolygonstyle,style=thick](0,0,1)(1,0,0)(0,1,0)
  line[style=mylinestyle](-1,-1,-1)(2,2,2)
    produces the TikZ output 
      \draw(-1,-1)--(.333,.333);
  \filldraw[thick,fill=white](0,0)--(1,0)--(0,1)--cycle;
  \draw(.333,.333)--(2,2);
    Note that the user-defined styles are not present. Sketch also issues warnings: 
      warning, unknown polygon option style=mypolygonstyle will be ignored
  warning, unknown line option style=mylinestyle will be ignored

    The remedy is to state explicitly whether a user-defined style should be attched to polygons or lines in the TikZ output using pseudo-options fill style and line style, 

      polygon[fill style=mypolygonstyle,style=thick](0,0,1)(1,0,0)(0,1,0)
  line[line style=mylinestyle](-1,-1,-1)(2,2,2)
    Now, the output is 
      \draw[mylinestyle](-1,-1)--(.333,.333);
  \filldraw[mypolygonstyle,thick](0,0)--(1,0)--(0,1)--cycle;
  \draw[mylinestyle](.333,.333)--(2,2);

    A useful technique is to include user-defined style definitions in sketch code as specials with option [lay=under] to ensure that the styles are emitted first in the output, before any uses of the style names. 1 For example, 

      special|\tikzstyle{mypolygonstyle} = [fill=blue!20,fill opacity=0.8]|[lay=under]
  special|\tikzstyle{mylinestyle} = [red!20,dashed]|[lay=under]
    The author is responsible for using the key, line style or fill style, that matches the content of the style definition.

    Footnotes

    [1] This clever trick is due to Kjell Magne Fauske.

    sketch-0.3.7/Doc/sketch/Transform-literals.html0100644000076400010400000002124111722043476024240 0ustar freddieresslerAdministrators Transform literals - Sketch

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    3.1.3.3 Transform literals

    Most transform literals are formed by constructors. These are summarized in the following table.

    Constructor Param types Description
    rotate(A,P,X) scalar,point,vector Rotate A degrees about point P with axis X according to the right hand rule. See Right hand rule. P and X are both optional and default to the origin and the z-axis respectively.
    translate(X) vector Translate by X.
    scale(S) scalar Scale uniformly by factor S.
    scale(V) vector Scale along each axis by components of V.
    project() — Same as scale([1,1,0]).
    project(S) scalar Perspective projection with view center at origin and projection plane z=-S.
    perspective(S) scalar Perspective transform identical to project(S) except that the z-coordinate of the transformed result is pseudodepth, usable by the hidden surface algorithm.
    view(E,D,U) point,vector,vector View transform similar to that of OpenGL's. The eye point E is translated to the origin while a rotation is also applied that makes the view direction vector D and the view “up” vector U point in the negative z- and the y-directions respectively. If U is omitted, it defaults to [0,1,0]. When U is omitted, D may be also; it defaults to (0,0,0)-(E), a vector pointing from the eye toward the origin.
    view(E,L,U) point,point,vector An alternate form of view(E,D,U) above where the view direction parameter D is replaced with a “look at” point L, i.e., a point where the viewer is focusing her attention. This form of view is equivalent to view(E, (L)-(E), U), where (L)-(E) is a direction vector. U is optional and defaults to [0,1,0].
    [[a_11,a_12,a_13,a_14]
     [a_21,a_22,a_23,a_24]
     [a_31,a_32,a_33,a_34]
     [a_41,a_42,a_43,a_44]]
    		16 scalars Direct transform matrix definition. Each of the a_ij is a scalar expression. See text for details.
    The project constructor is not generally useful because it defeats hidden surface removal by collapsing the scene onto a single plane. It is a special purpose transform for drawing pictures of scenes where three-dimensional objects are being projected onto planes. See, for example, Overview.

    The direct transform constructor allows direct entry of a 4x4 transformation matrix. Most 3d graphics systems, including sketch, use 4-dimensional homogeneous coordinates internally. These are transformed by multiplication with 4x4 matrices. The built-in constructors (rotate, scale, etc.) are all translated internally to such 4x4 matrices. For more information on homogeneous coordinate transformations, see any good computer graphics textbook. The direct transform feature of sketch allows you to enter a matrix of your own choice. There are not many cases where this is useful, but if you do need it, you need it badly! sketch-0.3.7/Doc/sketch/Transparency.html0100644000076400010400000000704111722043476023123 0ustar freddieresslerAdministrators Transparency - Sketch

    Next: , Previous: TikZ/PGF user-defined styles, Up: Options


    3.1.5.5 Transparency

    Both PSTricks and TikZ/PGF support polygon options that have the effect of making the polygon appear transparent. For PSTricks, keyword transpalpha was used during initial development of transparency features, and opacity was adopted later. Sketch honors both. TikZ/PGF uses opacity only. When transparent polygons are in the foreground, objects behind them (drawn earlier) are visible with color subdued and tinted. The hidden surface algorithm of sketch works well with such transparent polygons.

    Note that cull=false must be used for rear-facing polygons to be visible when positioned behind other transparent surfaces. sketch-0.3.7/Doc/sketch/transparent.png0100644000076400010400000002176511722043476022644 0ustar freddieresslerAdministrators‰PNG  IHDR?V” pHYsÃÃÇo¨d IDATxœíûsUÕÙÇß:•‹$ 9 QKnÜ’X0‰úBL"ÂM¢Ò¢–¨Ì@«DÄQy«/P¬Üƒ€ áCS¹ˆbµnÑW3gÚéô}g:þy¿É‚åfïsö~öÞk_ÎÙÏwžÉÀÉ>;ëœõ|Öm¯çYÿÑËbÅ[ÿvX¬Å °â.f€w1¬¸‹`Å]Ì+îbXq3ÀŠ»˜LÒ~|‹0óë¡”';Ä dŒ¤£›1`¼ˆÈ é½ÜÀ@ÊžE328½áWÌ€1¦”!fÀ‹˜ O”‹È$q'à‡˜L3à‡˜L„ü3aâUQåb2Oú§ÅÌ€w1™-fÀ»˜ŒO|312o‘±0Ù$f cijaŸÄ d’Òífy3ÀŠ»˜VÜÅ °â.f€w1¬¸‹`Å]Ì+îbXq3©:~ôXØEÈ1©9ÍÍ?úñ-øvA²AÌ@æI Œ1ð.f Ã$Øöb›üY__v¡2[Ì@&éÚW×àñb& vÎuwuá¼vÑ2XÌ@¦ŠwªR–0C‡ˆáGöIÌ@& £ 9ì‰ÉG@Ì€³¿¢Oè|8Ëc?_“››ƒ9@/3 NÌ€›¿bþG0ú׿þUQ^ vïÜÅ ¨3àøOXü-_‹0Úûæï««ª8¢R¡˜•Ë]1àÙ¶½Ø†Ñléâ–š)S„¡Õ—ã.ñÊOî¼sàÀÌ€*eh,û[†-ÚfáÙ0éÙ…‰„| †7âÅúú:y¥ðöÉ€x<Ì ¨RV1 †Ë¾n&³ö<[ÐÒ ÏóZ<øŒø¤Ì€*eh1rp×Èv÷¹Ö r@’îYÃ?¡OÀ=3 JÙüVl¡Ñ¿ŽæVxö€$¯Lù‡¬‹¡øƒEãoe·²‡&‹pbx³ôlx¹ôxéÙàÁõ€„È>e99CŠ‹Ç¶=ÿ|ˆÁ%Ì@&*{@£.ž…¸‰’ÈDe½7Ö…BÙO/G_=½bT)«èíÇÃýp Œ˜UÊ6â£~dŸÄ dªbø‘}3©ŠáGöIÌ@¦*†Ù'1ÝP¹¢_ÂL3Ð •+ú%Ì1êoLÈ%3 JÌ€úúr¹tq‹L,Ç ¨3 ø†ÄK×g2¿"3 JÌ€_7LwƒÈ¯(öƺ/K'fÀ憻wîr· /]È¥í5½7Âç 1=hþÅ&pðã[8¦^™˜«Š& à l0„Ïëczƒ ¢¸xlnN3 JÌ@ÚÂõsss(»PÍ…kl…i1Þ%&NßËJ)f í  ´¸{ßü½!ÈX¶Ð²Í*Äòxd@„Ò£0.ÞËJ'f í aE……æ ãtYO(åñ΀ÀÅ{YéÄ ¤½¡<íBím-þëåV,×b¬n(0P”£êÁ3 JÌ€Í 1öPœ©d÷3 JÌ@@7T®è—0SÄ tCåŠ~ 3EÌ@@7T®è—0SÄ tCåŠ~ 3EÌ@@7T®è—0SÄ tCåŠ~ 3EÌ@@7T®è—0SÄ tCåŠ~ 3EÌ@@7¤ëøÑckV­ž4qR²:¹xá¢5®†µ>ý+¹OI2 ¨3Ð ­Õç÷®†Ó$f5nlÝœ(Hô|ûïoì†WV,[)¬º*Y]D ËJËðaØÖ-^{Š›˜€nh–ô{¸òü¹ ·nÙ~årü^ØØ¢±òß) %”ÿÆ%-ëÖ>)PK@E˜¤¥öîZIËïvì´Ý1Ý°÷FNl ¿×›#èÖyê’@Zv,3gÜ­Ge„‰M÷7pÂgDÄ ø{Cxš[ ëá^¶~¯·‚þ±r(¶níú‰'£˜–(ù".f@ý õ~±;Z´»N±d\IX tž¾\RRPQr|L0~±3 æ†R¿ÔÖæÑï#ÂlÄðâ óŠò²²wŽUû GGÌ€ûÂïÑF656% Jü>: f#˜E`΀©Bˆçú'fÀÙ ?êî~ön±ní“í:”»à*“!20¾bž7^á@Ÿ=ËÖ‘˜g7:t¨O~¯7ÌJÌk ‘ŸÞ5sÓƶ”¿ è÷/jÉš…#fÀÁ ŸùÕ†aÃnóÕû#€m6¶nFO¸fÕê,  Þ•““ƒAB  ƲfሠÞpÍ£«‡ 2§yn ,_üp¸ À E”Ë@Âü¹ 1:ŠÔÂQÊ„­K·¤¼˜ Ýß)<4h `ÃñW¶í—ÛÕzë?ZÊ{2¤676a|Ûmà " ¤\²6× GÝ]]³wïÜ%ýµ¾¾Nxva"!=»¢¼\¼ˆßÊ+ñ.Ã6A‘+V¤Á´Ý;È Ø 5ZZZÖqüü¸ŸØ¬ÙgKC¶$Œ)0/ákÔ{¶8BA¼\¶åÒ³ÑÒ»Û+÷?­“2öBÆzýÅcOßwϬø0°tÑrÛ9‰…-Y´lÀÀú¯Q0 3Èûô¸ €%‘Ÿ?E²@ ˜a€‹þ•:sfÝó›·Ãæ£èvÂeÙõÛ«*«QÂ-¿þµOõb!éîÒ+¬{fÀF˜ç‰r MF™úÍ@a¿F:Ûºe{¢ Q_{ï´©S}ªŠˆ^Á X @ìFTê¥ ß9Y'ÉòóG¹{#h}jÓo6½Œ;øQ/D1 „ºìíx÷¢üïëÛ÷TU&ssrŸÛ°9  0÷Ïn¶¾f×û†ææÊVÃlõµ÷bx©ª‚èb\jú´éb2 ìhû¹Kÿb¨TP0&ó.uÉT¤7-Ã@ai¨ª²úñ5ëÓÃÀÃKUD3àRùù£~³éeYö¼—®jå‘ZˆCðÀHùкóÔ¥­›1ÎÏ…ñ¡bi!”MÌ€‰É€¬uµ÷¹šp&L0i“µ…fïèá¼øMlj‹”‡Gª0Øs÷×SÆ„§Þ½lqÁÑÃç h{Ÿ€÷Q3΄É&m²¶PågN}âÅo_½¾´¤,,´þ^HW?ýûá6¥8hЦ[­¯AgåkF@ƒ˜g2LPå¨x/~sÿìæ Ý*ÑlãCa@#<*I&§â#ÛÞ'//?°}ÔÌ€a¢¦Ÿ À,‹ sÄŸÍmqÁ€õ¨#,lgGø°'N¶½OSÃœÀöQ3„‰ša2ÐÞ7ãÅ0zxùª¬aÀvih[Û‰Â"ÛûlÞøR~^¾ªz·3à@˜¨é'†¸w‡p±0ªDA¡íV6ºÙ. gáAî£fó9ý³Ò”q3NmÀ€GŸSîjtÆ+UÈÎáÇSþâøŠ Áì£f¨Âd odž¾’,âfèæn(òÎÛ]ÖC:Œ)dàÒ¸j «½»~æŒ:Û[-š¿¤ªªJaí§3@&uµ÷Êú˜PÙ¶çÃP$\**&(d@#<8_±|5e9øµ—7thÉ瘪0XÿD«¬¡ÎÓW)q3Ö¶xÁ2 £gÀvióÊR­?ù\û¨™ª “Gq3é,Y]Ó0«ÉÅÑ}L›ŠØ2@™¨-*¢ã„ýrB0û¨™’~ûÚ«ÆÉ€ç­r°É“«]<Ðm- rrµBÐGÿЦu(+« t>«V¬ `Ó3@Ò}÷Þ«Ÿ \½òWë z¢Œ)p±0q(KCÄ ¤}û¨ýO>Ç T\|ûS¿xVÖ͇ïá1nF†Å»w´‡ÎÀ]Óg*dàÒÅ¿m·Yí]÷ØÓ·ß~'ånè~ýÞGÍ Pߨß]ì=nF˜ëg´ô=Á3 –†@þ€(· xµ…b̀ȱ)¶iãÖÛn»Í''£3ððòUî6®Z¥›Â Ç6®†î7”äsfÅš™c]˜’¸­ÿá@yùxwï%nœ¦0€ I^^¾Z(KC”¸JíƦ åž $Ãë(ÇšCŽuïAôÂ0­½»>+À÷󇿲¾†¸†NØ¿C¼é._ 9Öµþ¸™Ó{wŒÂÝ-Œ*g€²‘Ó‘9õ‰íÒ1®RëßGíß!ÞÌ€½ 9Ö5q3ÂF?pñÆî®kï9¯¢¢±j ”ðèásÄ%_ñfìeȱ®©ˆ›6rDž»‡ôÓDPµ h´žjøðá¶q•ÂüÛGÍ ØËcý¿;rè¬/q½0ª–/%±0JKAŒ«Ôü<Ä›°‘!ǺÖ?xÏ.ÝÅv¼~`à AYÌ@ûþÓW¯üÕúL‡ˆË²‹æ/ñ#ùœôÊQL0äX×ÅÍhý £eeîÞÛñîÅÎSŸFœÊÎÖþaØHÊÝ|:Ä[øƒÞ+,<$¦ r¬kŠâf`3gÔ¹^¥oœ‘ÊÒ£?íÇ>jsÛÏ eȱ®$nFØô©w¹^͈‹W”ƒ9„ùqˆ·Ù˜›dȱ®) ¢–.Ïn( ¨ «—FYBgXGëùĵû¨ÐO 9ÖaGÚÏy›æ.ÏîõbØå/qÊ€Ú°ziû~o“Š]ëß­D9˜CóáofÀ^†뚢¸aîòì s´[‰Â1¢ÅE9ÿü§X_C<˜C˜ÚC¼Ó1ÎIâÈ€!­¢ª¸ÍCž]ŸPR,Œ8f#ÆUjªñN7f®Ëc]#>I1×yv3‹â.q©¦ô`ýˆ v r¬ÃŽ9¯$nFëϳ›LNÊÃê…ã*µðñŠ†뚢¸aîòìº+ …å!ÅÒ(KC[_5j ñ†¡â-; 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    Next: , Previous: Arithmetic, Up: Arithmetic


    3.1.4.1 Two-operand (binary) forms and precedence

    Most two-operand binary forms have meanings dependent on the types of their arguments. An exhaustive summary of the possibilities is given in the following table.

    Left Op Right Result Description
    scalar + scalar scalar Scalar sum.
    vector + vector vector Vector sum.
    point + vector point Point-vector affine sum.
    vector + point " "
    scalar - scalar scalar Scalar difference.
    vector - vector vector Vector difference.
    point - point vector Point-point affine difference.
    point - vector point Point-vector affine difference.
    scalar * or . scalar scalar Scalar product.
    scalar * or . vector vector Scalar-vector product.
    vector * or . scalar " "
    vector * vector vector Vector cross-product.
    vector . vector scalar Vector dot product.
    scalar ^ scalar scalar Raise scalar to scalar power.
    transform ^ integer transform Raise transform to integer power.
    transform * or . point point Affine point transform (right-to-left).
    transform * or . vector vector Affine vector transform (right-to-left).
    transform * or . transform transform Transform composition (right-to-left).
    point then transform point Affine point transform (left-to-right).
    vector then transform vector Affine vector transform (left-to-right).
    transform then transform transform Transform composition (left-to-right).
    scalar / scalar scalar Scalar division.
    vector / scalar vector Vector component-wise division by scalar.
    point ' x, y, or z scalar Point component extraction.
    vector ' x, y, or z scalar Vector component extraction.
    Operator precedence is shown in this table.

    Op Precedence
    ' highest (most tightly binding)
    ^
    - (unary negation)
    * . /
    + -
    then lowest (least tightly binding)
    All operations are left-associative except for ^. Parentheses ( ) are used for grouping to override precedence in the usual way.

    As you can see, the dot operator . is usually a synonym for run-of-the-mill multiplication, *. The meanings differ only for vector operands. The then operator merely reverses the operand order with respect to normal multiplication *. The intent here is to make compositions read more naturally. The code 

         (1,2,3) then scale(2) then rotate(30) then translate([1,3,0])

    expresses a series of successive modifications to the point, whereas the equivalent form 

         translate([1,3,0]) * rotate(30) * scale(2) * (1,2,3)

    will be intuitive only to mathematicians (and perhaps Arabic language readers). sketch-0.3.7/Doc/sketch/Unary-forms.html0100644000076400010400000001273111722043476022676 0ustar freddieresslerAdministrators Unary forms - Sketch

    Previous: Two-operand (binary) forms, Up: Arithmetic


    3.1.4.2 Unary forms

    Unary or one-operand forms are summarized in the following table, where X stands for the operand.

    Op Operand Result Description
    -X scalar scalar Unary scalar negation.
    -X vector vector Unary vector negation.
    |X| vector scalar Vector length.
    unit(X) vector vector Unit vector with same direction.
    sqrt(X) scalar scalar Scalar square root.
    sin(X) scalar scalar Trigonometric sine (X in degrees).
    cos(X) scalar scalar Trigonometric cosine (X in degrees).
    asin(X) scalar scalar Inverse sine (X in degrees).
    acos(X) scalar scalar Inverse cosine (X in degrees).
    atan2(X,Y) scalar scalar Polar angle in degrees of vector [X,Y].
    inverse(X) transform transform Inverse transform.
    Errors are reported when |X|, unit, asin, acos, sqrt, atan2, and inverse fail due to operands outside their respective domains. sketch-0.3.7/Doc/sketch.html0100644000076400010400000073737511722043476020476 0ustar freddieresslerAdministrators Sketch

    Sketch

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    Sketch

    Copyright © 2005 to 2012 Eugene K. Ressler.

    This manual is for sketch, version 0.3 (build 7), Friday, February 24, 2012, a program that converts descriptions of simple three-dimensional scenes into line drawings. This version generates PSTricks or PGF/TikZ code suitable for use with the TeX document processing system.

    Sketch 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, or (at your option) any later version.

    Sketch 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 sketch; see the file COPYING.txt. If not, see http://www.gnu.org/copyleft.

    --- The Detailed Node Listing ---

    About sketch

    Introduction by example

    Swept objects

    Input language

    Basics

    Literals

    Arithmetic expressions

    Options

    Point lists

    Drawables

    • Dots: Draw dots.
    • Lines: Draw polylines.
    • Curves: Draw curves.
    • Polygons: Draw polygons.
    • Specials: Embed raw LaTeX and PSTricks.
    • Sweeps: Draw sweeps of dots and polylines.
    • Blocks: Group other drawables.
    • Repeats: Draw transformed copies of objects.
    • Puts: Draw one object transformed.

    Sweeps

    Definitions

    Global environment

    • Global options: Attributes of the entire drawing.
    • Camera: A final camera transformation of the scene.
    • Picture box: Setting the bounding box and 2d clipping.
    • Frame: Adding a box around the drawing.
    • Language: Setting the output language.

    Building a drawing

    Caveats

    Hidden surface removal and polygon splitting

    Next: , Previous: Top, Up: Top

    1 About sketch

    Sketch is a small, simple system for producing line drawings of two- or three-dimensional objects and scenes. It began as a way to make illustrations for a textbook after we could find no suitable tool for this purpose. Existing scene processors emphasized GUIs and/or photo-realism, both un-useful to us. We wanted to produce finely wrought, mathematically-based illustrations with no extraneous detail.

    Sketch accepts a tiny scene description language and generates PSTricks or TikZ/PGF code for LaTeX. The sketch language is similar to PSTricks, making it easy to learn for current PSTricks users. See www.pstricks.de for information on PSTricks. TikZ/PGF is similar. See http://sourceforge.net/projects/pgf. One can easily include arbitrary PSTricks or TikZ/PGF drawings and text over, in, or under sketch drawings, providing access to the full power of LaTeX text and mathematics formatting in a three-dimensional setting.

    Next: , Previous: About sketch, Up: About sketch

    1.1 Reporting bugs and recommending improvements.

    The group http://groups.google.com/group/sketch-users is the best place to report bugs and make improvements. A second method that will probably produce a slower response is email to sketch@frontiernet.net. We will try to respond, but can't promise. In any event, don't be offended if a reply is not forthcoming. We're just busy and will get to your suggestion eventually.

    For bugs, attach a sketch input file that causes the bad behavior. Embed comments that explain what to look for in the behavior of sketch or its output.

    A recommendation for improvement from one unknown person counts as one vote. We use overall vote tallies to decide what to do next as resources permit. We reserve the right to assign any number of votes to suggestions from people who have been helpful and supportive in the past.

    Previous: Reporting bugs, Up: About sketch

    1.2 Contributions

    If you intend to implement an enhancement of your own, that's terrific! Consider collaborating with us first to see if we're already working on your idea or if we can use your work in the official release.

    ex000.png

    Next: , Previous: About sketch, Up: Top

    2 Introduction by example

    The sketch input language will seem familiar to users of the PSTricks package for LaTeX. The following program draws a triangular polygon pierced by a line. 

      polygon(0,0,1)(1,0,0)(0,1,0)
  line(-1,-1,-1)(2,2,2)
    The coordinate system is a standard right-handed Cartesian one.
    ex010.png

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    2.1 Hello world

    The sketch program above is nearly the simplest one possible, the equivalent of a “hello world” program you might find at the start of a programming language text. If it is saved in the file simple.sk, then the command 

      sketch simple.sk -o simple.tex
    creates a file simple.tex containing PSTricks commands to draw these objects on paper. The contents of simple.tex look like this. 
      \begin{pspicture}(-1,-1)(2,2)
  \pstVerb{1 setlinejoin}
  \psline(-1,-1)(.333,.333)
  \pspolygon[fillstyle=solid,fillcolor=white](0,0)(1,0)(0,1)
  \psline(.333,.333)(2,2)
  \end{pspicture}
    The hidden surface algorithm of sketch has split the line into two pieces and ordered the three resulting objects so that the correct portion of the line is hidden.

    If you've noticed that the projection we are using seems equivalent to erasing the z-coordinate of the three-dimensional input points, pat yourself on the back. You are correct. This is called a parallel projection. The z-coordinate axis is pointing straight out of the paper at us, while the x- and y-axes point to the right and up as usual.

    The resulting picture file can be included in a LaTeX document with \input{simple}. Alternately, adding the command line option -T1 causes the pspicture to be wrapped in a short but complete document, ready to run though LaTeX. In a finished, typeset document, the picture looks like this. (The axes have been added in light gray.)

    ex020.png

    It is important to know that only the “outside” of a polygon is normally drawn. The outside is where the vertices given in the polygon command appear in counter-clockwise order. Thus, if the command above had been 

      polygon(0,1,0)(1,0,0)(0,0,1)
    the polygon would not appear in the picture at all. It would have been culled from the scene. This culling behavior may seem strange, but stay tuned.

    Next: , Previous: Hello world, Up: Introduction by example

    2.2 Options

    Many PSTricks and TikZ/PGF options work just fine in sketch. If generating PSTricks, the code 

      polygon[fillcolor=lightgray,linewidth=3pt](0,0,1)(1,0,0)(0,1,0)
  line[linestyle=dotted](-1,-1,-1)(2,2,2)
    produces
    ex030.png

    To produce TikZ/PGF, the corresponding code is 

      polygon[fill=lightgray,line width=3pt](0,0,1)(1,0,0)(0,1,0)
  line[style=dotted](-1,-1,-1)(2,2,2)
  global { language tikz }
    The final global instructs sketch to produce TikZ/PGF code as output rather than the default, PSTricks. Note that polygon fill color and line style options both conform to TikZ syntax rules. The resulting TikZ/PGF output is 
      \begin{tikzpicture}[join=round]
  \draw[dotted](-1,-1)--(.333,.333);
  \filldraw[fill=lightgray,line width=3pt](0,0)--(1,0)--(0,1)--cycle;
  \draw[dotted](.333,.333)--(2,2);
  \end{tikzpicture}
    The remaining examples of this manual are in PSTricks style.

    Next: , Previous: Drawing options, Up: Introduction by example

    2.3 Drawing a solid

    Let's try something more exciting. Sketch has no notion of a solid, but polygonal faces can be used to represent the boundary of a solid. To the previous example, let's add three more triangular polygons to make the faces of an irregular tetrahedron. 

      % vertices of the tetrahedron
  def p1 (0,0,1) def p2 (1,0,0)
  def p3 (0,1,0) def p4 (-.3,-.5,-.8)

  % faces of the tetrahedron.
  polygon(p1)(p2)(p3) % original front polygon
  polygon(p1)(p4)(p2) % bottom
  polygon(p1)(p3)(p4) % left
  polygon(p3)(p2)(p4) % rear

  % line to pierce the tetrahedron
  line[linecolor=red](-1,-1,-1)(2,2,2)
    This example uses definitions, which begin with def. These define or give names to points, which are then available as references by enclosing the names in parentheses, e.g. (foo). The parentheses denote that the names refer to points; they are required. There can be no white space between them and the name.

    As you can see, comments start with % as in TeX and extend to the end of the line (though # will work as well). White space, including spaces, tabs and blank lines, has no effect in the sketch language.

    ex040.png

    If we look inside the TeX file produced by sketch, there will be only three polygons. The fourth has been culled because it is a “back face” of the tetrahedron, invisible to our view. It is unnecessary, and so it is removed.

    In some drawings, polygons act as zero-thickness solid surfaces with both sides visible rather than as the faces of solid objects, where back faces can be culled. For zero-thickness solids, culling is a problem. One solution is to use a pair of sketch polygons for each zero-thickness face, identical except with opposite vertex orders. This is unwieldy and expensive. A better way is to set the sketch internal option cull to false in the usual PSTricks manner. 

      polygon[cull=false](p1)(p2)(p3)
    The following shows the same helix shape drawn first with cull=true (the default) and then cull=false.
    ex045.png

    We'll soon see how to produce these helixes with a few lines of sketch language code.

    It may be tempting to turn culling off gratuitously so that vertex order can be ignored. This is not a good idea because output file size and TeX and Postscript processing time both depend on the number of output polygons. Culling usually improves performance by a factor of two. On the other hand, globally setting cull=false is reasonable while debugging. See Global options and Limits on error detection.

    Next: , Previous: Drawing a solid, Up: Introduction by example

    2.4 Special objects

    We can add labels to a drawing by using special objects, which provide a way to embed raw LaTeX and PSTricks code. Adding this to the tetrahedron does the trick. 

      special |\footnotesize
           \uput{2pt}[ur]#1{$P1$}
           \uput[r]#2{$P2$}
           \uput[u]#3{$P3$}
           \uput[d]#4{$P4$}|
    (p1)(p2)(p3)(p4)
    Here is the result.
    ex042.png

    There are several details to note here. First, the quoting convention for the raw code is similar to the LaTeX \verb command. The first non-white space character following special is understood to be the quote character, in this case |. The raw text continues until this character recurs.

    Second, the argument references #1, #2, #3, and #4 refer to point, vector, or scalar values in the list that follow. This is similar to TeX macro syntax. The transformed and two-dimensional projections of these three-dimensional points are substituted in the final output. An argument reference of the form #1-2 is replaced with the angle in degrees of the two-dimensional vector that connects the projections of the two respective argument points, here #1 and #2. The substituted angle is enclosed in curly braces { }. When TikZ/PGF output is being generated, the angle is rounded to the nearest degree because non-integer angles are not allowed by TikZ/PGF primitives.

    As of Version 0.3 of sketch, special arguments may be scalars or vectors in addition to points. References to scalar arguments are merely replaced with a number formatted just as any point coordinate. References to vectors become two-dimensional points. The tick operator that selects individual components of points and vectors elsewhere in sketch (see for example Affine arithmetic) can also be applied to point and vector argument references. All three dimensions of a transformed point or vector can also be substitued with '3. See Specials for details.

    By default, special objects are printed last, overlaying all other objects in the scene. If you specify the internal option lay=in, the hidden surface algorithm considers the entire special object to be the first point (#1) in the argument list. If that point is behind (of smaller z-component than) any drawable, then the entire special object is drawn before that drawable, so the drawable obscures parts of the special object that overlaps it. In our example, p1 is the front-most point in the scene (has the largest z-component), so adding lay=in has no effect.

    With option lay=under, a special is drawn before, hence appears under any of the objects handled by the hidden surface algorithm. This is how the light gray axes were added to the “hello world” example Hello world.

    Special objects are powerful, with many possible uses.

    Next: , Previous: Special objects, Up: Introduction by example

    2.5 Transforms

    Now let's add a second copy of the pierced tetrahedron. We'll rotate the copy 90 degrees about the x-axis with the origin as center of rotation so we can see the back, then translate it to the right—in the positive x-direction—so it doesn't collide with the original. To help us see what's going on, make the back side gray. 

      def pierced_tetrahedron {
    def p1 (0,0,1) def p2 (1,0,0)
    def p3 (0,1,0) def p4 (-.3,-.5,-.8)
    polygon(p1)(p2)(p3)                      % original
    polygon(p1)(p4)(p2)                      % bottom
    polygon(p1)(p3)(p4)                      % left
    polygon[fillcolor=lightgray](p3)(p2)(p4) % rear
    line[linecolor=red](-1,-1,-1)(2,2,2)
  }
  {pierced_tetrahedron}  % tetrahedron in original position
  put { rotate(90, (0,0,0), [1,0,0]) % copy in new position
        then translate([2.5,0,0]) } {pierced_tetrahedron}
    Here the entire code of the previous example has been wrapped in a definition by forming a block with braces (a single item would not need them). The point definitions nested inside the braces are lexically scoped. Their meaning extends only to the end of the block. The outer def is called a drawable definition because it describes something that can be drawn.

    A drawable definition by itself causes nothing to happen until its name is referenced. Drawable references must be enclosed in curly braces, e.g. {foo}, with no intervening white space. In the code above, the first reference {pierced_tetrahedron} is a plain one. Its effect is merely to duplicate the earlier drawing. Almost any series of sketch commands stuff may be replaced with def foo { stuff } {foo} without changing its meaning.

    The put command supplies a second reference, this time with a transform applied first. The rotate transform turns the tetrahedron 90 degrees about the origin. The axis of rotation is the vector [1,0,0]. By the right hand rule, this causes the top of the tetrahedron to rotate toward the viewer and the bottom away. The rule receives its name from the following definition:

    Right hand rule. If the right hand is wrapped around any axis with the thumb pointing in the axis direction, then the fingers curl in the direction of positive rotation about that axis.
    The translate transform moves the pyramid laterally to the right by adding the vector [2.5,0,0] to each vertex coordinate. The result is shown here.
    ex050.png

    Next: , Previous: Object transforms, Up: Introduction by example

    2.6 Repeated objects

    To draw seven instances of the tetrahedron, each differing from the last by the same transform, replace the last two commands of the previous example with 

      repeat { 7, rotate(15, (0,0,0), [1,0,0]) % copy in new position
              then translate([2,0,0]) } {pierced_tetrahedron}
    And the result....
    ex060.png

    Previous: Repeated objects, Up: Introduction by example

    2.7 Swept objects

    Many familiar shapes can be generated by sweeping simpler ones through space and considering the resulting path, surface, or volume. Sketch implements this idea in the sweep command. 

      def n_segs 8
  sweep { n_segs, rotate(180 / n_segs, (0,0,0), [0,0,1]) } (1,0,0)
    This code sweeps the point (1,0,0) eight times by rotating it 180/8 = 22.5 degrees each time and connecting the resulting points with line segments. The def used here is a scalar definition. References to scalars have no enclosing brackets at all.

    Next: , Previous: Swept objects, Up: Swept objects

    2.7.1 Point sweeps

    Sweeping a point makes a one-dimensional path, which is a polyline. Since we have swept with a rotation, the result is a circular arc. Here is what it looks like.

    ex070.png

    This is the first example we have seen of sketch arithmetic. The expression 180 / n_segs causes the eight rotations to add to 180. If you're paying attention, you'll have already noted that there are nine points, producing eight line segments.

    You can cause the swept point to generate a single polygon rather than a polyline by using the closure tag <> after the number of swept objects. Code and result follow 

      def n_segs 8
  sweep { n_segs<>, rotate(180 / n_segs, (0,0,0), [0,0,1]) } (1,0,0)
    ex080.png

    Next: , Previous: Point sweeps, Up: Swept objects

    2.7.2 Polyline sweeps

    Sweeping a polyline produces a surface composed of many faces. The unbroken helix in the example Helix with cull set false then true is produced by this code (plus a surrounding put rotation to make an interesting view; this has been omitted). 

      def K [0,0,1]
  sweep[cull=false] {
    60, 
    rotate(10, (0,0,0), [K]) then translate(1/6 * [K]) 
  } line[linewidth=2pt](-1,0)(1,0)
    Again, 60 segments of the helix are produced by connecting 61 instances of the swept line. Options applied to the sweep, here cull=false, are treated as options for the generated polygon or polyline. Options of the swept line itself, here linewidth=2pt, are ignored, though with a warning. This def is a vector definition, which must be referenced with square brackets, e.g. [foo].

    Next: , Previous: Polyline sweeps, Up: Swept objects

    2.7.3 Nested sweeps

    When the center point of rotation is omitted, the origin is assumed. When a point has only two coordinates, they are taken as x and y, with z=0 assumed. A toroid is therefore obtained with this code. 

      def n_toroid_segs 20   def n_circle_segs 16
  def r_minor 1          def r_major 1.5
  sweep { n_toroid_segs, rotate(360 / n_toroid_segs, [0,1,0]) }
    sweep { n_circle_segs, rotate(360 / n_circle_segs, (r_major,0,0)) } 
      (r_major + r_minor, 0)
    For intuition, the idea of the code is to sketch a circle to the right of the origin in the xy-plane, then rotate that circle “out of the plane” about the y-axis to make the final figure. This produces the following. (A view rotation and some axes have been added.)
    ex090.png

    This example also shows that the swept object may itself be another sweep. In fact, it may be any sketch expression that results in a list of one or more points or, alternately, a list of one or more polylines and polygons. The latter kind of list can be created with a { }-enclosed block, perhaps following a put or repeat.

    Next: , Previous: Nested sweeps, Up: Swept objects

    2.7.4 Polygon sweeps

    Sweeping a polygon creates a closed surface with polygons at the ends, which are just copies of the original, appropriately positioned. See Solid coil example. Options on the swept polygon, if they exist, are applied to the ends. Otherwise the sweep options are used throughout.

    Next: , Previous: Polygon sweeps, Up: Swept objects

    2.7.5 Polyline sweeps with closure

    A polyline sweep with a closure tag creates another kind of closed surface. First, the polyline segments are connected by faces, just as without the closure tag. Then, each set of end points is joined to make a polygon, one for each end. A code for several views of a cylindrical prism follows. 

      def n_cyl_segs 20  def n_views 5  def I [1,0,0]
  def endopts [fillcolor=lightgray]
  repeat { n_views, rotate(180/n_views, [I]) then translate([I] * 2.1) } 
    sweep[endopts]{ n_cyl_segs<>, rotate(360/n_cyl_segs, [0,1,0]) } 
      line[fillcolor=white](1,-1)(1,1)
    It produces this drawing.
    ex110.png

    The options of the swept line, if any, are applied to the faces produced by sweeping the line, but not the end polygons. Otherwise, the sweep options are applied throughout. The def in this example is an option definition. References to options must be enclosed in square brackets, e.g.  [foo]. You can concatenate several sets of options with a single reference, e.g.  [color, size, style] would cause the option definitions for color, size, and style to appear in sequence in the output created by the sketch command containing the reference. Happily, the syntax of sketch is such that options references can never be confused with vector references. While not apparent in this example, options references are useful when defining many objects with a similar appearance.

    Next: , Previous: Polyline sweeps with closure, Up: Swept objects

    2.7.6 Affine arithmetic

    The arithmetic [I] * 2.1 above hints at a larger truth. Sketch operators work on scalars, vectors, points, and transforms according to the general rules of affine algebra. This can be helpful for setting up diagrams with computed geometry. For example, if you have triangle vertices (p1) through (p3) and need to draw a unit normal vector pointing out of the center of the triangle, this code does the trick. 

      def p1 (1,0,0)  def p2 (0,0.5,0)  def p3 (-0.5,-1,2)
  def O (0,0,0)
  def N unit( ((p3) - (p2)) * ((p1) - (p2)) )
  def n1 ((p1)-(O) + (p2)-(O) + (p3)-(O)) / 3 + (O)
  def n2 (n1)+[N]
  polygon(p1)(p2)(p3)
  line[arrows=*->](n1)(n2)
    The first line computes the cross product of two edge vectors of the triangle and scales it to unit length. The second computes the average of the vertices. Note that subtraction and addition of the origin effectively convert vectors to points and vice versa. The line command draws the normal at the correct spot.
    ex100.png

    Two caveats regarding this example remain. First, the only way to use PSTricks-style arrows is with arrows=. The alternative syntax for PSTricks arrows is not allowed in sketch. Second, you might like to eliminate the third def and write instead the following. 

      line[arrows=*->](n1) (n1)+[N]
    This is not allowed. The point lists in drawables may consist only of explicit points or point references. You may, however, use arithmetic to calculate point components. The following works, though it's a little cumbersome. 
      line[arrows=*->](n1)((n1)'x+(N)'x, (n1)'y+(N)'y, (n1)'z+(N)'z)
    Obviously, the tick operator 'x extracts components of points and vectors.

    Previous: Affine arithmetic, Up: Swept objects

    2.7.7 More to learn

    This is not the end of the story on sweeps! We invite the reader into the main body of this documentation Sweeps to learn more.

    ex120.png

    Who knows where you'll finish?

    Next: , Previous: Introduction by example, Up: Top

    3 Input language

    This chapter describes the sketch input language in detail.

    Next: , Previous: Input language, Up: Input language

    3.1 Basics

    Sketch input is plain ASCII text, usually stored in an input file. It describes a scene, so the sketch language is a scene description language. Sketch input is also declarative. It merely declares what the scene ought to look like when drawing is complete and says very little about how sketch should do its work. Sketch commands are not executed sequentially as in the usual programming language. They merely contribute to that declaration.

    A few syntactic details are important. Case is significant in the sketch language. With a few exceptions, white space is not. This includes line breaks. Comments begin with % or # and extend to the end of the line. You can disable a chunk of syntactically correct sketch code by enclosing it in a def. There is a simple “include file” mechanism. The command 

      input{otherfile.sk}
    causes the contents of otherfile.sk to be inserted as though they were part of the current file.

    Next: , Previous: Language basics, Up: Language basics

    3.1.1 Identifiers

    Identifiers in sketch are references to earlier-defined options, scalars, points, vectors, transforms, drawables, and tags. Definitions are explained in Definitions.

    An identifier consists of a leading letter followed by letters, numbers and underscores. The last character may not be an underscore. Keywords cannot be used as identifiers, and reserved words ought to be avoided. See Key and reserved words.

    Next: , Previous: Identifiers, Up: Language basics

    3.1.2 Key and reserved words

    The keywords of sketch are picturebox curve def dots frame global input line polygon put repeat set sweep and then. The sketch parser will note a syntax error if any of these are used in place of a proper identifier.

    In addition, there are reserved words that can currently be defined by the user, but with the risk that future versions of sketch will reject those definitions. The reserved words are acos asin atan2 cos inverse perspective project rotate scale sin special sqrt translate unit and view.

    Next: , Previous: Key and reserved words, Up: Language basics

    3.1.3 Literals

    Literals in sketch include scalars, points, vectors, and transforms. Literals, along with defined object references, are used in arithmetic expressions. See Arithmetic.

    Next: , Previous: Literals, Up: Literals
    3.1.3.1 Scalar literals

    Scalar literals are positive floating point numbers with syntax according to C conventions. The following are some examples. 

         0 1004 .001 8.3143 3. 1.60E-19 6.02e+23

    Scalar literals may not contain embedded spaces.

    Next: , Previous: Scalar literals, Up: Literals
    3.1.3.2 Point and vector literals

    Points and vector literals have these forms respectively. 

         (X,Y,Z)  [X,Y,Z]

    Each of the components is itself a scalar expression. The z-components are optional and default to zero.

    Previous: Point and vector literals, Up: Literals
    3.1.3.3 Transform literals

    Most transform literals are formed by constructors. These are summarized in the following table.

    Constructor Param types Description
    rotate(A,P,X) scalar,point,vector Rotate A degrees about point P with axis X according to the right hand rule. See Right hand rule. P and X are both optional and default to the origin and the z-axis respectively.
    translate(X) vector Translate by X.
    scale(S) scalar Scale uniformly by factor S.
    scale(V) vector Scale along each axis by components of V.
    project() — Same as scale([1,1,0]).
    project(S) scalar Perspective projection with view center at origin and projection plane z=-S.
    perspective(S) scalar Perspective transform identical to project(S) except that the z-coordinate of the transformed result is pseudodepth, usable by the hidden surface algorithm.
    view(E,D,U) point,vector,vector View transform similar to that of OpenGL's. The eye point E is translated to the origin while a rotation is also applied that makes the view direction vector D and the view “up” vector U point in the negative z- and the y-directions respectively. If U is omitted, it defaults to [0,1,0]. When U is omitted, D may be also; it defaults to (0,0,0)-(E), a vector pointing from the eye toward the origin.
    view(E,L,U) point,point,vector An alternate form of view(E,D,U) above where the view direction parameter D is replaced with a “look at” point L, i.e., a point where the viewer is focusing her attention. This form of view is equivalent to view(E, (L)-(E), U), where (L)-(E) is a direction vector. U is optional and defaults to [0,1,0].
    [[a_11,a_12,a_13,a_14]
     [a_21,a_22,a_23,a_24]
     [a_31,a_32,a_33,a_34]
     [a_41,a_42,a_43,a_44]]
    		16 scalars Direct transform matrix definition. Each of the a_ij is a scalar expression. See text for details.
    The project constructor is not generally useful because it defeats hidden surface removal by collapsing the scene onto a single plane. It is a special purpose transform for drawing pictures of scenes where three-dimensional objects are being projected onto planes. See, for example, Overview.

    The direct transform constructor allows direct entry of a 4x4 transformation matrix. Most 3d graphics systems, including sketch, use 4-dimensional homogeneous coordinates internally. These are transformed by multiplication with 4x4 matrices. The built-in constructors (rotate, scale, etc.) are all translated internally to such 4x4 matrices. For more information on homogeneous coordinate transformations, see any good computer graphics textbook. The direct transform feature of sketch allows you to enter a matrix of your own choice. There are not many cases where this is useful, but if you do need it, you need it badly!

    Next: , Previous: Literals, Up: Language basics

    3.1.4 Arithmetic expressions

    Arithmetic expressions over sketch literals and defined identifiers are summarized in the following tables.

    Next: , Previous: Arithmetic, Up: Arithmetic
    3.1.4.1 Two-operand (binary) forms and precedence

    Most two-operand binary forms have meanings dependent on the types of their arguments. An exhaustive summary of the possibilities is given in the following table.

    Left Op Right Result Description
    scalar + scalar scalar Scalar sum.
    vector + vector vector Vector sum.
    point + vector point Point-vector affine sum.
    vector + point " "
    scalar - scalar scalar Scalar difference.
    vector - vector vector Vector difference.
    point - point vector Point-point affine difference.
    point - vector point Point-vector affine difference.
    scalar * or . scalar scalar Scalar product.
    scalar * or . vector vector Scalar-vector product.
    vector * or . scalar " "
    vector * vector vector Vector cross-product.
    vector . vector scalar Vector dot product.
    scalar ^ scalar scalar Raise scalar to scalar power.
    transform ^ integer transform Raise transform to integer power.
    transform * or . point point Affine point transform (right-to-left).
    transform * or . vector vector Affine vector transform (right-to-left).
    transform * or . transform transform Transform composition (right-to-left).
    point then transform point Affine point transform (left-to-right).
    vector then transform vector Affine vector transform (left-to-right).
    transform then transform transform Transform composition (left-to-right).
    scalar / scalar scalar Scalar division.
    vector / scalar vector Vector component-wise division by scalar.
    point ' x, y, or z scalar Point component extraction.
    vector ' x, y, or z scalar Vector component extraction.
    Operator precedence is shown in this table.

    Op Precedence
    ' highest (most tightly binding)
    ^
    - (unary negation)
    * . /
    + -
    then lowest (least tightly binding)
    All operations are left-associative except for ^. Parentheses ( ) are used for grouping to override precedence in the usual way.

    As you can see, the dot operator . is usually a synonym for run-of-the-mill multiplication, *. The meanings differ only for vector operands. The then operator merely reverses the operand order with respect to normal multiplication *. The intent here is to make compositions read more naturally. The code 

         (1,2,3) then scale(2) then rotate(30) then translate([1,3,0])

    expresses a series of successive modifications to the point, whereas the equivalent form 

         translate([1,3,0]) * rotate(30) * scale(2) * (1,2,3)

    will be intuitive only to mathematicians (and perhaps Arabic language readers).

    Previous: Two-operand (binary) forms, Up: Arithmetic
    3.1.4.2 Unary forms

    Unary or one-operand forms are summarized in the following table, where X stands for the operand.

    Op Operand Result Description
    -X scalar scalar Unary scalar negation.
    -X vector vector Unary vector negation.
    |X| vector scalar Vector length.
    unit(X) vector vector Unit vector with same direction.
    sqrt(X) scalar scalar Scalar square root.
    sin(X) scalar scalar Trigonometric sine (X in degrees).
    cos(X) scalar scalar Trigonometric cosine (X in degrees).
    asin(X) scalar scalar Inverse sine (X in degrees).
    acos(X) scalar scalar Inverse cosine (X in degrees).
    atan2(X,Y) scalar scalar Polar angle in degrees of vector [X,Y].
    inverse(X) transform transform Inverse transform.
    Errors are reported when |X|, unit, asin, acos, sqrt, atan2, and inverse fail due to operands outside their respective domains.

    Previous: Arithmetic, Up: Language basics

    3.1.5 Options

    Syntax: 

         [key1=val1,key2=val2,...]

    Options are used to specify details of the appearance of drawables. As shown above, they are given as comma-separated key-value pairs.

    Next: , Previous: Options, Up: Options
    3.1.5.1 PSTricks options

    When language pstricks is selected (the default), permissible key-value pairs include all those for similar PSTricks objects. For example, a polygon might have the options 

      [linewidth=1pt,linecolor=blue,fillcolor=cyan]
    Sketch merely passes these on to PSTricks without checking or modification. Option lists are always optional. A missing options list is equivalent to an empty one [].

    When a polygon has options for both its face and its edges, and the polygon is split by the hidden surface algorithm, sketch must copy the edge options to pslines for the edge segments and the face options to pspolygons. Options known to sketch for purposes of this splitting operation include arrows, dash, dotsep, fillcolor, fillstyle, linecolor, linestyle, linewidth, opacity, showpoints, strokeopacity, and transpalpha.

    Next: , Previous: PSTricks options, Up: Options
    3.1.5.2 TikZ/PGF options

    TikZ/PGF options are handled much as for PSTricks. Though TikZ/PGF often allows colors and styles to be given without corresponding keys, for example, 

      \draw[red,ultra thick](0,0)--(1,1);
    this is not permitted in sketch. To draw a red, ultra-thick line in sketch, the form is 
      line[draw=red,style=ultra thick](0,0)(1,1)

    Just as for PSTricks, when a polygon has options for both its face and its edges, and the polygon is split by the hidden surface algorithm, sketch must copy the edge options to pslines for the edge segments and the face options to pspolygons. TikZ/PGF options known to sketch for purposes of this splitting operation include arrows, cap, color, dash pattern, dash phase, double, double distance, draw, draw opacity, fill, fill opacity, join, line width, miter limit, pattern, pattern color, and style.

    The style option can contain both face and edge information, so sketch must check the style value. Values known to sketch include dashed, densely dashed, densely dotted, dotted, double, loosely dashed, loosely dotted, nearly opaque, nearly transparent, semithick, semitransparent, solid, thick, thin, transparent, ultra nearly transparent, ultra thick, ultra thin, very nearly transparent, very thick, and very thin.

    Next: , Previous: TikZ/PGF options, Up: Options
    3.1.5.3 Dots in TikZ/PGF

    TikZ/PGF does not have a dots command as does PSTricks. Instead, Sketch emits dots as filldraw circles. The diameter may be set using the option dotsize borrowed from PSTricks. The dotsize option will be removed from the option list in the output filldraw command. Other options work in the expected way. For example, fill sets fill color and color sets line color of the circles.

    Next: , Previous: Dots in TikZ/PGF, Up: Options
    3.1.5.4 TikZ/PGF user-defined styles

    TikZ/PGF allows named styles defined by the user, for example 

      \tikzstyle{mypolygonstyle} = [fill=blue!20,fill opacity=0.8]  
  \tikzstyle{mylinestyle} = [red!20,dashed]
    Since sketch has no information on the contents of such styles, it omits them entirely from lines, polygons, and their edges during option splitting. For example, 
      polygon[style=mypolygonstyle,style=thick](0,0,1)(1,0,0)(0,1,0)
  line[style=mylinestyle](-1,-1,-1)(2,2,2)
    produces the TikZ output 
      \draw(-1,-1)--(.333,.333);
  \filldraw[thick,fill=white](0,0)--(1,0)--(0,1)--cycle;
  \draw(.333,.333)--(2,2);
    Note that the user-defined styles are not present. Sketch also issues warnings: 
      warning, unknown polygon option style=mypolygonstyle will be ignored
  warning, unknown line option style=mylinestyle will be ignored

    The remedy is to state explicitly whether a user-defined style should be attched to polygons or lines in the TikZ output using pseudo-options fill style and line style, 

      polygon[fill style=mypolygonstyle,style=thick](0,0,1)(1,0,0)(0,1,0)
  line[line style=mylinestyle](-1,-1,-1)(2,2,2)
    Now, the output is 
      \draw[mylinestyle](-1,-1)--(.333,.333);
  \filldraw[mypolygonstyle,thick](0,0)--(1,0)--(0,1)--cycle;
  \draw[mylinestyle](.333,.333)--(2,2);

    A useful technique is to include user-defined style definitions in sketch code as specials with option [lay=under] to ensure that the styles are emitted first in the output, before any uses of the style names. 2 For example, 

      special|\tikzstyle{mypolygonstyle} = [fill=blue!20,fill opacity=0.8]|[lay=under]
  special|\tikzstyle{mylinestyle} = [red!20,dashed]|[lay=under]
    The author is responsible for using the key, line style or fill style, that matches the content of the style definition.

    Next: , Previous: TikZ/PGF user-defined styles, Up: Options
    3.1.5.5 Transparency

    Both PSTricks and TikZ/PGF support polygon options that have the effect of making the polygon appear transparent. For PSTricks, keyword transpalpha was used during initial development of transparency features, and opacity was adopted later. Sketch honors both. TikZ/PGF uses opacity only. When transparent polygons are in the foreground, objects behind them (drawn earlier) are visible with color subdued and tinted. The hidden surface algorithm of sketch works well with such transparent polygons.

    Note that cull=false must be used for rear-facing polygons to be visible when positioned behind other transparent surfaces.

    Previous: Transparency, Up: Options
    3.1.5.6 Internal options

    There are also internal options used only by sketch and not passed on to PSTricks. These are summarized in the following table.

    Key Possible values Description
    cull true, false Turn culling of backfaces on and off respectively for this object. The default value is true.
    lay over, in, under Force this object to be under or over all other objects in the depth sort order created by the hidden surface algorithm. The default value over guarantees that output due to the special will be visible.
    split true, false Turn splitting of sweep-generated body polygons on and off respectively. See Sweeps. The default value true causes “warped” polygons to be split into triangles, which avoids mistakes by the hidden surface algorithm.

    3.1.6 Point lists

    Syntax: 

         (x1,y1,z1)(x2,y2,z2)...

    A sequence of one or more points makes a point list, a feature common to all drawables. Each of the point components is a scalar arithmetic expression. Any point may have the z-component omitted; it will default to z=0.

    Next: , Previous: Language basics, Up: Input language

    3.2 Drawables

    Drawables are simply sketch objects that might appear in the drawing. They include dots, polylines, curves, polygons, and more complex objects that are built up from simpler ones in various ways. Finally, special objects are those composed of LaTeX or PSTricks code, perhaps including coordinates and angles computed by sketch.

    • Dots: Draw dots.
    • Lines: Draw polylines.
    • Curves: Draw curves.
    • Polygons: Draw polygons.
    • Specials: Embed raw LaTeX and PSTricks.
    • Sweeps: Draw sweeps of dots and polylines.
    • Blocks: Group other drawables.
    • Repeats: Draw transformed copies of objects.
    • Puts: Draw one object transformed.

    Next: , Previous: Drawables, Up: Drawables

    3.2.1 Dots

    Syntax: 

         dots[options] point_list

    This command is the three-dimensional equivalent of the PSTricks command \psdots.

    Next: , Previous: Dots, Up: Drawables

    3.2.2 Lines

    Syntax: 

         line[options] point_list

    This command is the three-dimensional equivalent of the PSTricks command \psline.

    Next: , Previous: Lines, Up: Drawables

    3.2.3 Curves

    Syntax: 

         curve[options] point_list

    This command is the three-dimensional equivalent of the PSTricks command \pscurve. It is not implemented in the current version of sketch.

    Next: , Previous: Curves, Up: Drawables

    3.2.4 Polygons

    Syntax: 

         polygon[options] point_list

    This command is the three-dimensional equivalent of the PSTricks command \pspolygon. The sketch hidden surface algorithm assumes that polygons are convex and planar. In practice, drawings may well turn out correctly even if these assumptions are violated.

    Next: , Previous: Polygons, Up: Drawables

    3.2.5 Specials

    Syntax: 

         special $raw_text$[options] arg_list

    Here $ can be any character and is used to delimit the start and end of raw_text. The command embeds raw_text in the sketch output after performing substitutions as follows.

    • #i where i is a positive integer is replaced by the i'th value in arg_list. Point and vector arguments become two-dimensional points, which are the transformed 3d arguments projected onto the x-y plane. This allows two-dimentional output elements such as labels to be easily positioned with respect to three-dimensional features in the drawing. Scalar arguments are subsituted directly. No transformation is applied.
    • #{i} is also replaced as above.
    • #i'2 is replaced as above for points or vectors. It is an error for the i'th argument to be a scalar.
    • #i'x, #i'y, or #i'z is replaced, respectively, by the scalar x, y, or z-coordinate of the argument point or vector. It is an error for the i'th argument to be a scalar.
    • #i'3 is replaced by the three-dimensional transformed argument. Note that if a perspective transformation has been applied, the z-coordinate has little geometric significance, though it accurately indicates relative depth.
    • #i-j where i and j are positive integers is replaced by a string {angle} where angle is the polar angle of a vector from the i'th point in point_list to the j'th point projected into the x-y plane. It is an error for the i'th or j'th argument to be a scalar or a vector.
    • #{i-j} is also replaced as above.
    • ## is replaced with #.
    The forms with braces { } are useful when the argument is immediately followed by a digit or a tick character that is part of the TeX code.

    The only useful option of special is lay, which determines if the substitued raw text is emitted before, after, or using the first point in point_list as an indicator of depth. These occur, respectively, with lay=under, lay=over, and lay=in. See Special objects and TikZ/PGF user-defined styles for examples. See Internal options.

    Next: , Previous: Specials, Up: Drawables

    3.2.6 Sweeps

    Syntax: 

         sweep { n, T_1, T_2, ..., T_r }[options] swept_object
     sweep { n<>, T_1, T_2, ..., T_r }[options] swept_object

    The sweep connects n (or perhaps n+1) copies of swept_object in order to create a new object of higher dimension. The T_i (for i between 1 and r) are transforms. The k'th copy of swept_object is produced by applying the following transform to the original. 

         T_1^k then T_2^k then ... then T_r^k

    Here T^k means “transform T applied k times.” The original object is the zero'th copy, with k=0 and effectively no transform applied (T^0=I, the identity transform).

    The method of connecting the copies depends on the type of swept_object and on whether the closure tag <> is present or not.

    An example of a sweep where r=2 is the Mobius figure at More to learn.

    Next: , Previous: Sweeps, Up: Sweeps
    3.2.6.1 Swept points

    If swept_object is a point list and there is no closure tag, then sweep connects n+1 successive copies of each point (including the original) with straight line segments to form a polyline. If there are m points in the original point list, then m polylines with n segments each are formed by the sweep. In this manner, sweep forms a set of one-dimensional objects (polylines) from zero-dimensional ones (points).

    When there is a closure tag, sweep connects n successive copies of each point (including the original) with straight line segments and finally connects the last copy back to the original to form a polygon with n sides. If there are m points in the original point list, then m polygons with n sides each are formed by the sweep. In this manner, sweep forms a set of two-dimensional objects (polygons) from zero-dimensional ones (points).

    Options of the sweep are copied directly to the resulting polyline(s).

    Next: , Previous: Swept points, Up: Sweeps
    3.2.6.2 Swept lines

    If swept_object is a polyline and there is no closure tag, then sweep connects n+1 successive copies of the polyline (including the original) with four-sided polygons, each pair of copies giving rise to a “polygon strip.” If there are m points in the original polyline, then (m-1)n polygons are formed by the sweep. We call these body polygons. In this manner, sweep forms a two-dimensional surface from from a one-dimensional polyline.

    The order of vertices produced by sweep is important. If a polygon's vertices do not appear in counter-clockwise order in the final image, the polygon will be culled (unless cull=false is set). If the points in the k'th copy of the polyline are P_1, P_2, ..., P_m, and the points in the next copy, the (k+1)st, are P_1', P_2', ..., P_m', then the vertex order of the generated polygons is 

         Body polygon 1: P_2 P_1 P_1' P_2'
     Body polygon 2: P_3 P_2 P_2' P_3'
     ...
     Body polygon m-1: P_m P_m-1 P_m-1' P_m'

    Options of unclosed line sweeps are copied to each output polygon. Options of the swept line are ignored. When there is a closure tag, then sweep connects n successive copies of the polyline (including the original) with four-sided body polygons just as the case with no closure tag. It then connects the last copy back to the original to form a ribbon-shaped surface that closes on itself with two holes remaining.

    Finally, the sweep adds two more polygons to seal the holes and form a closed surface that, depending on the sweep transforms, may represent the boundary of a solid. In this manner, sweep forms the boundary of a three-dimensional object from a one-dimensional polyline. We call these hole-filling polygons ends. The order of vertices of end polygons is important for correct culling as described above. If P_1^1, P_1^2, ..., P_1^n are the n copies of the first polyline point and P_m^1, P_m^2, ... ,P_m^n are the n copies of the last polyline point, then the end polygon vertex order is 

         End polygon 1: P_1^n, P_1^n-1, ... ,P_1^1
     End polygon 2: P_m^1, P_m^2, ... ,P_m^n

    If there are no options on the swept line, then the sweep options are copied to each output polygon. If the swept line does have options, these are copied to corresponding body polygons; the sweep options are copied to the end polygons. In this manner, body and ends may be drawn with different characteristics such as fillcolor.

    Next: , Previous: Swept lines, Up: Sweeps
    3.2.6.3 Swept polygons

    If swept_object is a polygon, the sweep connects n+1 successive copies of the closed polyline border of the polygon to form body polygons exactly as though the border were a swept polyline as described in Swept lines. If there are m points in the original polygon, then mn body polygons are formed by this sweep. The body polygons form an extrusion of the boundary of the original polygon with two holes at the open ends.

    Finally, the sweep adds two copies of the original polygon to cover the holes. We call these hole-filling polygons ends. In this manner, sweep forms the boundary of a three-dimensional object from a two-dimensional polygon.

    The order of vertices of end polygons is important for correct culling as described above. An exact copy of the original polygon with vertex order intact forms the first end polygon. The other end polygon results from transforming and the reversing the order of vertices in the original. The transform places the original polygon at the uncovered hole; it is 

         T_1^n then T_2^n then ... then T_r^n.

    If there are no options on the swept polygon, then the sweep options are copied to each output polygon. If the swept polygon does have options, these are copied to the ends; the sweep options are copied to the body polygons. In this manner, body and ends may be drawn with different characteristics such as fillcolor.

    Next: , Previous: Swept polygons, Up: Sweeps
    3.2.6.4 Swept blocks

    The swept object swept_object may also be any collection of polylines and polygons. This may be a block composed of line and/or polygon commands in braces { }, or it may be the result of a repeat, another sweep, etc. The sweep acts independently on each object in the block exactly as if it were a single swept object described above in Swept lines and Swept polygons.

    Previous: Swept blocks, Up: Sweeps
    3.2.6.5 Sweep face splitting

    Before sending each four-sided body polygon of a sweep to the output, sketch tests to see if it is roughly planar. Since planarity is necessary for proper functioning of the hidden surface algorithm, “warped” polygons are automatically split into two triangles.

    Hole-filling polygons produced by closure-tagged line sweeps are not split. Nor are original polygons in polygon sweeps. It is the user's responsibility to ensure these are planar.

    Next: , Previous: Sweeps, Up: Drawables

    3.2.7 Blocks

    Any sequence of drawables may be grouped in a block merely by enclosing them in braces { }. A block is itself drawable. A key use of blocks is to extend the effect of a single def, Definitions, put Puts, sweep Sweeps, or repeat Repeats to include several objects rather than one.

    Definitions (See Definitions.) inside a block have lexical scope extending from the place of definition to the end of the block.

    Next: , Previous: Blocks, Up: Drawables

    3.2.8 Repeats

    Syntax: 

         repeat { n, T_1, T_2, ..., T_r } repeated_object

    The repeat makes n transformed copies of repeated_object (including the original). The T_i are transforms. The k'th copy of the repeated_object (for k=0,1,...,n-1) is produced in the same manner as for sweeps described in Sweeps. This is repeated here (no pun intended) for convenience. To make the k'th copy, the following transform is applied to the original object. 

         T_1^k then T_2^k then ... then T_r^k

    Here T^k means “transform T applied k times.”

    Previous: Repeats, Up: Drawables

    3.2.9 Puts

    Syntax: 

         put { T } put_object

    Put merely applies transform T to the drawable put_object.

    Next: , Previous: Drawables, Up: Input language

    3.3 Definitions

    Definitions give names to sketch objects. Definitions alone are benign. A sketch input file consisting entirely of definitions will generate no drawing. Only when definitions are referenced do they potentially lead to ink on the drawing.

    The intent of definitions is to make sketch code more concise and readable. There is no input file employing definitions that could not be re-written without them.

    Definable objects include any result of an affine arithmetic expression (scalar, point, vector, or transform), any drawable object (dots, line, curve, polygon, block, sweep, put, repeat, or special), and option strings. In addition, tag definitions, which have no associated object at all, allow the meaning of other definitions to be selected from a set of alternatives. Since tags may be defined (and undefined) in the command line of sketch, they can be an aid in the script-driven preparation of documents.

    Next: , Previous: Definitions, Up: Definitions

    3.3.1 Forms of definitions

    Definitions have three possible forms, simple, with alternatives, and tag as shown here in order.

    Syntax: 

         def id object  % simple def
     def id <tag_1> object_1  % def with alternatives
            <tag_2> object_2
            ...
            <> default_object
     def id <>  % tag def

    The simple definition merely associates object with the identifier id.

    The definition with alternatives associates object_i with id, where tag_i is the first defined tag in the list of alternative tag references. If no tag in the list is defined, then default_object is associated with identifier id.

    The final form defines id as a tag. Another way to define a tag is with the -D command line option. See Command line.

    Previous: Forms of definitions, Up: Definitions

    3.3.2 Forms of references

    References to defined names are enclosed in bracketing delimiters. The delimiter characters imply the type of the associated value as shown in the table below. A type error is raised if the type of a reference does not match the type of the defined value. The intent of this mechanism is, again, to make sketch input files more readable.

    Type Reference
    scalar id
    point (id)
    vector [id]
    transform [[id]]
    drawable {id}
    options [id] or [id1,...,idN]
    tag <id>
    Note that square brackets [ ] are used both for vector and for options references. Details of sketch syntax make it impossible for these two reference types to be confused. The special multiple reference [id1,id2,...,idN] acts as if the respective lists of options were concatenated.

    Previous: Definitions, Up: Input language

    3.4 Global environment

    An optional global environment block provides a few ways to affect the entire scene. The block must appear as the last text in the sketch input file. It may include definitions, but note that previous definitions at the top level (not nested inside blocks) are also available.

    Syntax: 

         global { environment_settings }

    The contents of environment_settings are discussed in the sections that follow.

    • Global options: Attributes of the entire drawing.
    • Camera: A final camera transformation of the scene.
    • Picture box: Setting the bounding box and 2d clipping.
    • Frame: Adding a box around the drawing.
    • Language: Setting the output language.

    Next: , Previous: Global environment, Up: Global environment

    3.4.1 Global options

    Syntax: 

         set [ options ]

    The contents of options, except for sketch internal options, are copied as-is to a \psset that appears before anything else in the output file. This is a good place to set unit, a default linewidth, etc.

    Internal options work on all objects where they make sense. This includes cull and split (but not lay). See Internal options.

    Next: , Previous: Global options, Up: Global environment

    3.4.2 Camera

    Syntax: 

         camera transform_expression

    The transform_expression is applied after all other transformations of the scene. This is currently only useful for transforming the bounding box. See Picture box. It will play a role in any future implementation of clipping.

    Next: , Previous: Camera, Up: Global environment

    3.4.3 Picture box

    Syntax: 

         picturebox[baseline]
     picturebox[baseline] (p1)(p2)

    The first form of picturebox causes a scalar baseline fraction to be emitted in the pspicture environment of the output. See PSTricks documentation for pspicture.

    In the second form, the baseline fraction is optional, and the two points that follow define the diagonal of a three-dimensional bounding box for the completed scene. The parallel projection of the bounding box determines the corners of the drawing's pspicture* environment, which is used in place of pspicture. This causes PostScript to clip the final drawing to the bounding box in 2d. If there is a camera specified, the camera tranformation is applied to the bounding box, and the pspicture is set just large enough to include the transformed box.

    When no bounding box is given, sketch computes one automatically.

    Next: , Previous: Picture box, Up: Global environment

    3.4.4 Frame

    Syntax: 

         frame [options]

    Causes a \psframebox to surround the pspicture environment in the output. If options are present, they are copied as-is. Normally one would want to set linewidth, linestyle, linecolor, etc. If omitted, then framesep=0pt is added so that the frame tightly hugs the pspicture.

    Previous: Frame, Up: Global environment

    3.4.5 Language

         language tikz
     language tikz, context
     language pstricks
     language pstricks, latex

    Sets the output language generated by sketch. The set of options understood by sketch also changes. For example, the PSTricks option linewidth will not be properly handled if language is set to tikz. Similarly, the TikZ option line style (note the space) will not be properly handled if language is set to pstricks. If no language is specified, the default pstricks is used.

    An optional comma followed by latex or context specifies the macro package that the output should assume. This affects the picture environment commands emitted and the document template used with the -T option. See Command line. Note that at the time this manual was generated, PSTricks was not supported by LaTeX or by ConTeXt.

    Next: , Previous: Input language, Up: Top

    4 Building a drawing

    Successful drawings with sketch and with any scene description language require that the user develop an accurate mental picture of her code and its meaning. This image is best built in small pieces. Therefore, sketch inputs are best created in small increments with frequent pauses to compile and view the results. Careful comments in the input often help as a scene grows in complexity.

    Next: , Previous: Building a drawing, Up: Building a drawing

    4.1 Overview

    As an overview, let's develop a diagram that shows how a perspective projection transform works. We'll start with the traditional reference object used in computer graphics textbooks, a house-shaped prism. Begin by defining the points of the house. Rather than defining the faces of the house as polygons and transforming those, we are going to transform the points themselves with sketch arithmetic so that we have names for the transformed points later. 

      % right side (outside to right)
  def R1 (1,1,1) def R2 (1,-1,1) def R3 (1,-1,-1) def R4 (1,1,-1)
  def R5 (1,1.5,0)

  % left side (outside to right--backward)
  def W  [2,0,0]
  def L1 (R1)-[W] def L2 (R2)-[W] def L3 (R3)-[W] def L4 (R4)-[W]
  def L5 (R5)-[W]
    To add a door to the house, we use a polygon slightly in front of the foremost face of the house. 
      % door
  def e .01
  def D1 (0,-1,1+e) def D2 (.5,-1,1+e) def D3 (.5,0,1+e) def D4 (0,0,1+e)
    Now let's create a new set of points that are a to-be-determined transform of the originals. 
      def hp scale(1) % house positioner
  def pR1 [[hp]]*(R1) def pR2 [[hp]]*(R2) def pR3 [[hp]]*(R3)
  def pR4 [[hp]]*(R4) def pR5 [[hp]]*(R5)
  def pL1 [[hp]]*(L1) def pL2 [[hp]]*(L2) def pL3 [[hp]]*(L3)
  def pL4 [[hp]]*(L4) def pL5 [[hp]]*(L5)
  def pD1 [[hp]]*(D1) def pD2 [[hp]]*(D2) def pD3 [[hp]]*(D3)
  def pD4 [[hp]]*(D4)
    Note the use of a transform definition and transform references. Now define the seven polygonal faces of the house and the door using the transformed points as vertices. Be careful with vertex order! 
      def rgt polygon (pR1)(pR2)(pR3)(pR4)(pR5)
  def lft polygon (pL5)(pL4)(pL3)(pL2)(pL1)
  def frt polygon (pR2)(pR1)(pL1)(pL2)
  def bck polygon (pR4)(pR3)(pL3)(pL4)
  def tfr polygon (pR1)(pR5)(pL5)(pL1)
  def tbk polygon (pR5)(pR4)(pL4)(pL5)
  def bot polygon (pR2)(pL2)(pL3)(pR3)
  def door polygon[fillcolor=brown] (pD1)(pD2)(pD3)(pD4)
  def house { {rgt}{lft}{frt}{bck}{tfr}{tbk}{bot}{door} }
    Time for a sanity check. Add the line 
      {house}
    and this is what we get.
    ex130.png

    This is correct, but does not reveal very much. Common errors are misplaced vertices and polygons missing entirely due to incorrect vertex order. To rule these out, let's inspect all sides of the house. This is not hard. Merely replace the reference {house} with a repeat. See Repeats. 

      repeat { 13, rotate(30, [1,2,3]), translate([3,0,0]) } {house}
    ex140.png

    Again things look correct. Note that the hidden surface algorithm handles intersecting polygons correctly where some copies of the house overlap.

    Let's lay out the geometry of perspective projection of the house onto a plane with rays passing through the origin. Begin by positioning the house twelve units back on the negative z-axis and adding a set of coordinate axes. To move the house we need only change the “house positioning” transform defined earlier. 

      def hp rotate(-40, [0,1,0]) then translate([0,0,-12])
  def axes {
    def sz 1
    line [arrows=<->] (sz,0,0)(O)(0,sz,0)
    line [arrows=->]  (O)(0,0,sz)
    line [linewidth=.2pt,linecolor=blue,linestyle=dashed] (O)(0,0,-10)
    special |\uput[r]#1{$x$}\uput[u]#2{$y$}\uput[l]#3{$z$}|
      (sz,0,0)(0,sz,0)(0,0,sz)
  }

    Time for another test. Let's build a real view transform, creating a virtual camera to look at the scene we are constructing. Replace the repeat with 

      def eye (10,4,10)
  def look_at (0,0,-5)
  put { view((eye), (look_at)) } { {house}{axes} }
    The view transform repositions the scene so that the point eye is at the origin and the direction from eye to look_at is the negative z-axis. This requires a rotation and a translation that are all packed into the constructor view.
    ex150.png

    This is starting to look good! Add the projection plane half way between the origin and the house at z=-5. We'll try the angle argument feature of special to position a label. 

      def p 5 % projection distance (plane at z=-p)
  def projection_plane {
    def sz 1.5
    polygon (-sz,-sz,-p)(sz,-sz,-p)(sz,sz,-p)(-sz,sz,-p)
    special |\rput[b]#1-2#3{\footnotesize\sf projection plane}| 
      (-sz,-sz,-p)(sz,-sz,-p)(0,-sz+.1,-p)
  }
    Add {projection_plane} to the list of objects in the put above.
    ex160.png

    The way we constructed the points of the house now makes it easy to draw rays of projection. We'll cast one ray from every visible vertex of the house and define options so the appearance of all rays can be changed at the same time. 

      def projection_rays {
    def rayopt [linewidth=.3pt,linecolor=lightgray]
    line [rayopt](O)(pR1) line [rayopt](O)(pR2) line[rayopt](O)(pR3)
    line [rayopt](O)(pR4) line [rayopt](O)(pR5)
    line [rayopt](O)(pL1) line [rayopt](O)(pL2) line[rayopt](O)(pL5)
    line [rayopt](O)(pD1) line [rayopt](O)(pD2) 
    line [rayopt](O)(pD3) line [rayopt](O)(pD4) 
  }
    The result is shown here.
    ex170.png

    The rays pierce the projection plane at the corresponding points on the perspective image we are trying to draw. Albrecht Dürer and his Renaissance contemporaries had the same idea in the early 1500's.

    duerer.png

    All that's left is to find a way to connect the points of the house on the projection plane. We could pull out a good computer graphics text, find the necessary matrix, and enter it ourselves as a transform literal. See Transform literals. That work is already done, however. We can use the project(p) constructor.

    There are still some details that require care. Projection will flatten whatever is transformed onto the plane z=-p. Therefore any part of the house could disappear behind the projection plane (the hidden surface algorithm orders objects at the same depth arbitrarily). The door may also disappear behind the front of the house. To make sure everything remains visible, we'll place the house a tiny bit in front of the projection plane and a second copy of the door in front of the house. 

      def projection {
    % e is a small number defined above
    put { project(p) then translate([0,0,1*e]) } {house}
    put { project(p) then translate([0,0,2*e]) } {door}
  }
    ex180.png

    If you have studied and understand all this, you are well on the way to success with sketch. Not shown are the 20 or so iterations that were required to find a reasonable viewing angle and house position, etc. Nonetheless, this drawing was completed in about an hour. While a GUI tool may have been a little faster, it is unlikely that a new drawing, itself a perspective projection of the scene, could be generated with two more minutes' work! Just change the view transform to 

      put { view((eye), (look_at)) then perspective(9) } { ...
    and produce this.
    ex190.png

    Next: , Previous: Overview, Up: Building a drawing

    4.2 A technical drawing

    Let's look at a drawing that represents the kind of problem sketch was meant to solve—a pair of textbook figures regarding a polygonal approximation of a truncated cone. Here are the pictures we will produce.

    ex250.png ex260.png

    The cone shape is just a swept line with no closure tag and culling turned off. Begin by setting up some useful constants. 

      def O (0,0,0) def I [1,0,0] def J [0,1,0] def K [0,0,1]
  def p0 (1,2) def p1 (1.5,0) def N 8
  def seg_rot rotate(360 / N, [J])
    The points p0 and p1 are the end points of the line to be swept. The definition seg_rot is the sweep transformation. With these, the cone itself is simple. 
      sweep[cull=false] { N, [[seg_rot]] } line(p0)(p1)

    The axes are next and include an interesing trick that shows the hidden parts as dotted lines. The secret is draw the axes twice—solid lines with the normal hidden surface algorithm in effect, and then dotted with the option lay=over so that no polygons can hide them. 

      def ax (dx,0,0) % tips of the axes
  def ay (0,dy,0)
  def az (0,0,dz)
  line[arrows=<->,linewidth=.4pt](ax)(O)(ay)
  line[arrows=->,linewidth=.4pt](O)(az)
  % repeat dotted as an overlay to hint at the hidden lines
  line[lay=over,linestyle=dotted,linewidth=.4pt](ax)(O)(ay)
  line[lay=over,linestyle=dotted,linewidth=.4pt](O)(az)
  special|\footnotesize
          \uput[d]#1{$x$}\uput[u]#2{$y$}\uput[l]#3{$z$}|
    (ax)(ay)(az)
    The labels are applied with PSTricks special objects as usual.

    For the height dimension mark, the power of affine arithetic is very helpful. 

      def hdim_ref unit((p1) - (O)) then [[seg_rot]]^2
  def c0 (p0) then scale([J])
  def h00 (c0) + 1.1 * [hdim_ref]
  def h01 (c0) + 1.9 * [hdim_ref]
  def h02 (c0) + 1.8 * [hdim_ref]
  line(h00)(h01)
  def h10 (O) + 1.6 * [hdim_ref]
  def h11 (O) + 1.9 * [hdim_ref]
  def h12 (O) + 1.8 * [hdim_ref]
  line(h10)(h11)
  line[arrows=<->](h02)(h12)
  def hm2 ((h02) - (O) + (h12) - (O)) / 2 + (O)
  special|\footnotesize\rput*#1{$h$}|(hm2)
    The general idea employed here is to compute a unit “reference vector” parallel to the xz-plane in the desired direction of the dimension from the origin. The transformation [[seg_rot]]^2 rotates two segments about the y-axis. When applied to (p1) - (O), the resulting vector points to the right as shown. In this manner, we can pick any vertex as the location of the height dimension lines by varying the exponent of [[seg_rot]]. This is only one of many possible strategies.

    The computation of hm2 is a useful idiom for finding the centroid of a set of points.

    The two radius marks are done similarly, so we present the code without comment. 

      % radius measurement marks
  def gap [0,.2,0]  % used to create small vertical gaps

  % first r1
  def up1 [0,3.1,0] % tick rises above dimension a little
  def r1 ((p1) then [[seg_rot]]^-2) + [up1]
  def r1c (r1) then scale([J])
  def r1t (r1) + [gap]
  def r1b ((r1t) then scale([1,0,1])) + [gap]
  line[arrows=<->](r1c)(r1)  % dimension line
  line(r1b)(r1t)             % tick
  def r1m ((r1) - (O) + (r1c) - (O)) / 2 + (O) % label position
  special |\footnotesize\rput*#1{$r_1$}|(r1m)  % label

  % same drill for r0, but must project down first
  def up0 [0,2.7,0]
  def r0 ((p0) then scale([1,0,1]) then [[seg_rot]]^-2) + [up0]
  def r0c (r0) then scale([J])
  def r0t (r0) + [gap]
  def r0b ((p0) then [[seg_rot]]^-2) + [gap]
  line[arrows=<->](r0c)(r0)
  line(r0b)(r0t)
  def r0m ((r0) - (O) + (r0c) - (O)) / 2 + (O)
  special |\footnotesize\rput*#1{$r_0$}|(r0m)

    The second drawing uses the same techniques. Only the method for drawing the elliptical arc is new. Here is the code. 

      def mid ((p00)-(O)+(p10)-(O)+(p11)-(O)+(p01)-(O))/4+(O)
  special|\rput#1{\pscustom{
    \scale{1 1.3}
    \psarc[arrowlength=.5]{->}{.25}{-60}{240}}}|
    [lay=over](mid)
    We could have swept a point to make the arc with sketch, but using a PSTricks custom graphic was simpler. Again we computed the centroid of the quadrilateral by averaging points. Note that scaling in Postscript distorts the arrowhead, but in this case the distortion actually looks better in the projection of the slanted face. A sketch arrowhead would not have been distorted.

    The complete code for this example, which draws either figure depending on the definition of the tag <labeled>, is included in the sketch distribution in the file truncatedcone.sk.

    Next: , Previous: A technical drawing, Up: Building a drawing

    4.3 A hierarchical model

    While sketch was never meant to be a geometric modeling language, it comes fairly close. The following example puts all we have seen to work in a very simple model of the human hand. Start by sweeping a line to make a truncated cone, which will be copied over and over again to make the segments of fingers. 

      def O (0,0,0) % origin
  def I [1,0,0] def J [0,1,0] def K [0,0,1] % canonical unit vectors
  def segment {
    def n_faces 8
    sweep { n_faces<>, rotate(360 / n_faces, [J]) } 
      line(proximal_rad, 0)(distal_rad, distal_len)
  }
    In hand anatomy, distal is “at the tip” and proximal is “in the area of the palm.” We have omitted all the scalar constants. You can find them in hand.sk, which is provided in the sketch distribution.

    We also need a prototypical sphere to use for the joints themselves. 

      def joint_sphere {
    def n_joint_faces 8
    sweep [fillcolor=red] { n_joint_faces, rotate(360 / n_joint_faces, [J]) }
      sweep { n_joint_faces, rotate(180 / n_joint_faces) } 
        (0, -joint_rad)
  }

    We'll now design the index finger (number 1 in our notational convention; finger 0 is the thumb). The distal rotation for the finger applies only to the tip, so we define the following. 

      def distal_1 {
    put { translate(joint_gap * joint_rad * [J]) 
          then rotate(distal_1_rot, [I]) 
          then translate((distal_len + joint_gap * joint_rad) * [J]) }
      {segment}
    put { rotate(distal_1_rot / 2, [I])
          then translate((distal_len + joint_gap * joint_rad) * [J]) } 
      {joint_sphere}
    put { scale( [J] + proximal_distal_ratio * ([I]+[K]) ) }
      {segment}
  }
    The identifiers here are for size and location constants. The exception is distal_rot_1. This rotation parameter models the flexing of the finger tip. The first put makes a copy of the finger segment that is translated upward just far enough to make room for the spherical joint. Then it applies the distal rotation. Finally it translates the whole assembly upward again to make room for the middle phlanges (the next bone toward the palm). The second put positions the sphere. There is a rotation to place the grid on the sphere surface at an nice angle, then a translation to the base of the distal phlanges, which is also center of its rotation. Finally, the last put positions the middle segment itself.

    The middle joint is the next one down, with rotation angle middle_rot_1. When this angle changes, we need all the objects in distal_1 to rotate as a unit. This is the reasoning behind the next definition. 

      def finger_1 {
    put { translate(joint_gap * joint_rad * [J])
          then rotate(middle_1_rot, [I])
          then translate((middle_ratio * distal_len + 
                          joint_gap * joint_rad) * [J]) }
      {distal_1}
    put { scale(proximal_distal_ratio)
          then rotate(middle_1_rot / 2, [I])
          then translate((middle_ratio * distal_len + 
                          joint_gap * joint_rad) * [J]) } 
      {joint_sphere}
    put { scale( middle_ratio * [J] + 
                 proximal_distal_ratio^2 * ([I]+[K]) ) }
      {segment}
  }
    This looks very similar to the previous definition, and it is. The important difference is that rather than positioning and rotating a single segment, we position and rotate the entire “assembly” defined as distal_1. The rest is just arithmetic to compute sizes and positions that look nice. The last put places an appropriately shaped segment that is the proximal phlanges, the bone that joins the palm of the hand. This completes the finger itself.

    All the other fingers are described identically to this one. We account for the fact that real fingers are different sizes in the next step, which is to build the entire hand.

    The hand definition that follows includes a section for each finger. We'll continue with finger 1 and omit all the others. (Of note is that the thumb needs slightly special treatment—an extra rotation to account for its opposing angle. This is clear in the full source code.) Not surprisingly, the hand definition looks very much like the previous two. It should be no surprise that when the rotation parameter meta_1_rot changes, the entire finger rotates! There is an additional rotation that allows the fingers to spread laterally. We say these joints of the proximal phlanges have two degrees of freedom. The joints higher on the finger have only one. Finally, each finger is scaled by a factor to lend it proportion. 

      def hand {
    % finger 1 [all other fingers omitted]
    def scale_1 .85
    put { scale(scale_1) 
          then translate((joint_gap * joint_rad) * [J])
	  then rotate(meta_1_rot, [I])
          then rotate(-spread_rot, [K])
          then translate((proximal_1_loc) - (O)) } 
      {finger_1}
    put { scale(scale_1 * proximal_distal_ratio^2)
          then rotate(meta_1_rot / 2, [I])
          then rotate(-spread_rot, [K])
          then translate((proximal_1_loc) - (O)) } 
      {joint_sphere}

    % palm
    sweep { 1, rotate(6, (0,15,0), [I]) }
      put { rotate(-3, (0,15,0), [I]) } {
        polygon(proximal_1_loc)(proximal_2_loc)
               (proximal_3_loc)(proximal_4_loc)
               (h5)(h6)(h6a)(h9)(h10)
        polygon(h6a)(h7)(h8)(h9)
   }  }
    The last section of the definition creates the polytope for the palm of the hand by sweeping a 10-sided polygon through a very short arc (9 degrees). This provides a wedge-shaped profile when viewed from the side. The thick end of the wedge is the wrist. Because the polygon is concave, it is split into into two convex shapes with nine and four vertices.

    We can now have fun positioning the hand by adjusting the various rotation angles. The complete source includes definitions with alternatives that include the following views and more.

    ex210.pngex220.pngex230.pngex240.png

    Previous: A hierarchical model, Up: Building a drawing

    4.4 Caveats

    Sketch is a fairly powerful tool for drawing, but, just as with TeX, the power to create beautiful results comes along with the power to make mistakes. The following are some points where care is necessary and where the current version of sketch is limited or has known bugs.

    Next: , Previous: Caveats, Up: Caveats

    4.4.1 Limits on sketch error detection

    Sketch catches many kinds of errors, but not all. For example, options that sketch does not recognize, even incorrect ones, are quietly copied to PSTricks commands in the output. It is also unfortunately easy to produce sketch inputs that lead to no picture at all (improper vertex ordering causes everything to be culled), to pictures that are too big or too small for PSTricks to draw (due to limits of TeX math), and pictures that look nothing like what was intended. A picture with one of these problems can be difficult to “debug.” We offer the following suggestions.

    • Follow the suggested incremental development method described in Overview.
    • Always maintain one or two back-versions of a drawing so that it is easy to fall back to a known-good increment.
    • When using perspective, ensure all finally transformed objects satisfy z<0 and, in fact, do not come very close to the origin at all.
    • Temporarily use cull=false to see where vertex ordering problems lie.
    • Use temporary changes of color of one or more objects to ensure that your understanding of the scene geometry is correct.
    • If PSTricks complains about something, inspect the output directly for clues.

    Next: , Previous: Limits on error detection, Up: Caveats

    4.4.2 Clipping

    The current version of sketch has no clipping operations. The entire scene is always drawn. This means that when a perspective transform is employed, it is the user's responsibility to make sure the entire scene remains in front of the viewer, the region z<0.

    Previous: Clipping, Up: Caveats

    4.4.3 Hidden surface removal and polygon splitting

    Sketch uses the depth sort algorithm for hidden surface removal. This is a very old technique due to Newell.3 It is generally regarded as too slow for real time graphics, but it is ideal for our purpose where speed is not very important.4

    The depth sort algorithm merely sorts objects on a key of increasing z-coordinate, equivalent to decreasing depth. Objects are then drawn in the sorted sequence so that those at the rear of the scene are overwritten by those closer to the viewer. Since this is also how oil painters practice their art, depth sort is sometimes called “the painter's algorithm.”

    In some cases it is impossible to strictly order polygons according to depth. Moreover, even if a correct depth ordering exists, the computation needed to find it may be too complex and slow. In these cases, sketch splits one or more polygons into pieces. The expectation is that the new, smaller polygons will be simpler to order. Sketch uses a BSP (binary space partition) to handle the splitting operation.

    Next: , Previous: Hidden surface removal, Up: Hidden surface removal
    4.4.3.1 Statistics

    For the curious, sketch writes one line of depth sort statistics. Here is an example for a large collection of triangles. 

      remark, node=34824 probe=581.9 swap=5 split=2 (in=4 out=6) ols=24851/0
    It means that 34,824 objects were depth sorted after culling. For each, an average of 581.9 others had to be checked to ensure that the initial, approximate ordering was correct. Among all these checks, only 5 resulted in swaps to reorder the initial sort. In two cases, a correct ordering could not be determined, so binary space partitions were constructed for splitting. A total of 4 objects (triangles in this case) were inserted in the partitions, and 6 polygons were produced. Finally, 24,851 “last resort” polygon overlap checks were performed after simpler, faster checks failed to yield conclusive results. The final /0 is for line-polygon overlap checks. For comparison, the statistics for the last figure in Overview follow. 
      remark, node=27 probe=14.6 swap=36 split=15 (in=30 out=45) ols=0/69
    Note that there was proportionally much more swapping and splitting activity in this highly connected scene.

    Previous: Statistics, Up: Hidden surface removal
    4.4.3.2 Bugs and anomalies

    Polygon and line splitting can both cause anomalies in the output. PSTricks dash patterns, specified with linestyle=dashed, can be disrupted by splitting. This occurs when the depth sort gives up too early and splits a line where it is not really necessary. A workaround is to use gray or finely dotted lines instead. If your drawing is small, you can also edit the sketch output by hand to merge the pieces of the offending line.

    Another anomaly is tiny (or in degenerate cases not-so-tiny) notches in the lines that border split polygons. These derive from the way each polygon is painted: first, all pixels within the boundary are filled with color (perhaps white), then the same boundary is stroked (a Postscript term) with a line. The result is that half the line lies inside the boundary and half outside, while the Painter's algorithm assumes the polygon lies entirely within its boundary. The notches are due to one polygon fill operation overwriting the already-drawn inside of the border of another polygon.5 One workaround is to make border lines very thin. In fact linewidth=0pt is guaranteed to eliminate this problem, though this results in the thinnest line your output device can draw, which is usually too thin. You might get lucky by merely reordering things in the input file, which is likely to move the splits to different places. The only sure-fire solution is pretty terrible: custom fit special overlay lines (with \psline) to cover the notches.

    Polygon splitting also breaks PSTricks hatch patterns. The only known workaround is to substitute a solid fill for the hatch.

    Next: , Previous: Building a drawing, Up: Top

    5 Command line

    Synopsis: 

         sketch [-h][-V x.y][-v][-b][-d][t doctmp][-T[u|e][p[P|T][L|C]]][-o output.tex]
       [-D tag ...] input1.sk [-U tag ...] input2.sk ...

    Description Processes the sketch input files in order to produce PSTricks output code suitable for inclusion in a TeX or LaTeX document.

    Options:

    -h
    Print a short catalog of options.
    -V
    Set the PSTricks version assumed for output purposes to x.y, for example 1.19. Usually needed only if your PSTricks is old compared to your sketch. Use -v to see what sketch assumes by default.
    -v
    Print version information to standard output, including the version of PSTricks assumed for output (can be changed with -V above).
    -b
    Use a BSP (See Hidden surface removal.) for all hidden surface removal rather than the default, which is the depth sort algorithm with BSPs used only for cycle resolution. This may produce correct output in certain degenerate cases where the depth sort cannot, but it also leads to many gratuitous splits, hence more anomalies Bugs and anomalies and big output files.
    -d
    Run sketch's parser in debugging mode. This is primarily for development.
    -t
    Use contents of file doctmp as a document template in which to enclose PSTricks output code. The code is inserted in place of the first instance of the escape string %%SKETCH_OUTPUT%%.
    -T
    Causes PSTricks output to be enclosed in default US document template text. Option -Tu is a synonym. Option -Te causes the Euro standard document template to be used. A p appended to any of these options causes the respective default PSTricks document template to be printed to standard output. An appended P is a synonym. An appended T causes the the TikZ/PGF template to be printed. An appended L prints the LaTeX version of the document template, a synonym for the default. A C prints the ConTeXt template.
    -o
    Use output.tex as the output file. The default is standard output.
    -D
    Define a tag for purposes of selecting definition alternatives. See Definitions. The definition applies for all input files that follow unless the tag is undefined with -U.
    inputi.sk
    Input files, read in the sequence they are given.
    -U
    Un-define a tag for purposes of selecting definition alternatives.

    Next: , Previous: Command line, Up: Top

    6 Building and installing sketch

    Sketch is so small that compiling by brute force is probably best. The following command ought to do the trick on any systems where gcc is installed. Make sure to first change current directories to the place where you have unpacked the sources. 

         gcc *.c -o sketch.exe -lm

    The .exe at the end is necessary for Windows systems. Drop it if your system is some version of Unix. Other C compilers ought to work as just as well. For example, 

         cl *.c -o sketch.exe

    is the correct command for many versions of MS Visual C. In the latest versions, Microsoft has deprecated the -o option and, by default, does not define the __STDC__ macro. This causes problems with some versions of flex, bison, lex, and yacc, which are used to create the sketch scanner and parser. It's nearly always possible to find a set of options that compiles with no errors or warnings, and this means sketch is very likely to work correctly. For example, the Visual C++ 2005 Express Edition compiler (available free of charge from the Microsoft web site), flex version 2.5.4, and bison version 2.1 build error-free with 

         cl -DYY_NEVER_INTERACTIVE=1 -Za -Ox -Fesketch.exe *.c

    For purists, there is also a makefile compatible with GNU make and gcc. The command 

         make

    will build the executable, including the rebuilding of the scanner and parser with flex and bison if you have changed sketch.l or sketch.y respectively.

    While not essential, building the manual is an excellent test of your sketch installation. To build this document in all its myriad forms (assuming you have the necessary conversion programs on your system), use 

         make docs

    The possibilities are listed in this following table.

    Format Converter Pictures Description
    manual.info makeinfo .txt GNU Info.
    manual.dvi texi2dvi .eps TeX typeset output.
    manual.ps texi2dvi,dvips .eps Postscript.
    manual.pdf texi2dvi .pdf Adobe PDF.
    manual.html makeinfo .png A single web page.
    manual/index.html makeinfo .png Linked web pages, one per node.
    All the required tools are included in the standard TeX Live distribution except that an additional open source program epstool is needed to refine the Encapsulated Postscript bounding boxes of sketch-generated figures in the manual. This tool is available in binary form for Windows, and it builds easily with a simple make under linux or Cygwin installations that have development tools installed or under Mac OS X with XCode installed.

    Next: , Previous: Installing sketch, Up: Top

    Index of syntax

    Previous: Index of syntax, Up: Top

    Index of concepts

    Footnotes

    [1] Or for European users of A4 size paper, -Te.

    [2] This clever trick is due to Kjell Magne Fauske.

    [3] Newell, M.E., R.G. Newell, and T.L. Sancha, A solution to the hidden surface problem. Proceedings of the ACM annual conference - Volume 1, page 443–450, ACM Press, 1972.

    [4] We have run sketch on the famous Stanford Bunny, which consists of nearly 70,000 triangles. Run time was about 6 seconds. Most of this was spent writing the output file rather than in the hidden surface algorithm. LaTeX took much longer to process the resulting PSTricks code. The obvious conclusion is that the speed of the depth sort algorithm is not a worry.

    [5] I know how to fix this problem, but I don't like my solution, and I'm interested in yours.

    sketch-0.3.7/Doc/sketch.info0100644000076400010400000045675011722043476020460 0ustar freddieresslerAdministratorsThis is sketch.info, produced by makeinfo version 4.7 from sketch.texi. Copyright (C) 2005 to 2012 Eugene K. Ressler. This manual is for `sketch', version 0.3 (build 7), Friday, February 24, 2012, a program that converts descriptions of simple three-dimensional scenes into line drawings. This version generates `PSTricks' or `PGF/TikZ' code suitable for use with the TeX document processing system. `Sketch' 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, or (at your option) any later version. Sketch 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 `sketch'; see the file COPYING.txt. If not, see http://www.gnu.org/copyleft. INFO-DIR-SECTION TeX START-INFO-DIR-ENTRY * Sketch: (sketch). Simple 3D sketching for TeX END-INFO-DIR-ENTRY  File: sketch.info, Node: Top, Next: About sketch, Prev: (dir), Up: (dir) Sketch ****** Copyright (C) 2005 to 2012 Eugene K. Ressler. This manual is for `sketch', version 0.3 (build 7), Friday, February 24, 2012, a program that converts descriptions of simple three-dimensional scenes into line drawings. This version generates `PSTricks' or `PGF/TikZ' code suitable for use with the TeX document processing system. `Sketch' 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, or (at your option) any later version. Sketch 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 `sketch'; see the file COPYING.txt. If not, see http://www.gnu.org/copyleft. * Menu: * About sketch:: Why sketch exists and what it does. * Introduction by example:: Most features shown as working code. * Input language:: Syntax and semantics of `sketch' commands. * Building a drawing:: How to use `sketch' productively. * Command line:: Options and their usage. * Installing sketch:: Building and installing from sources. * Index of syntax:: * Index:: --- The Detailed Node Listing --- About sketch * Reporting bugs:: Let use know what's wrong! * Contributions:: How you can help.... Introduction by example * Hello world:: Simplest possible `sketch' program. * Drawing options:: Controlling object appearance. * Drawing a solid:: Drawing an object with 3d appearance. * Special objects:: Laying TeX over, in, or under drawings. * Object transforms:: Rotate, translate, scale, and others. * Repeated objects:: Making transformed copies. * Swept objects:: Sweeping objects in space to make new shapes. Swept objects * Point sweeps:: Swept points make lines and polygons. * Polyline sweeps:: Swept lines make surfaces. * Nested sweeps:: Swept sweeps are useful! * Polygon sweeps:: Swept polygons make solids... * Polyline sweeps with closure:: and so do closed polyline sweeps. * Affine arithmetic:: Sketch useful math expression. * More to learn:: Check out the Mobius strip! Input language * Language basics:: Case, space, comments, include files. * Drawables:: Things that can be drawn. * Definitions:: Giving things names. * Global environment:: Affect the entire drawing. Basics * Identifiers:: Names for things. * Key and reserved words:: Names you shouldn't use. * Literals:: Constants and constructors. * Arithmetic:: Rules for expressions. * Options:: Modifying object appearance. Literals * Scalar literals:: Just the numbers. * Point and vector literals:: 3d quantities. * Transform literals:: Matrix form. Arithmetic expressions * Two-operand (binary) forms:: A op B * Unary forms:: op A (and others) Options * PSTricks options:: Options inherited from `PSTricks'. * TikZ/PGF options:: Options inherited from `TikZ/PGF'. * Dots in TikZ/PGF:: Sketch uses `TikZ/PGF' circles for dots. * TikZ/PGF user-defined styles:: Support for `TikZ/PGF' named, user-defined styles. * Transparency:: See-through polygons. * Internal options:: Options used by `sketch'. Point lists * Drawables:: Things that are drawn. * Definitions:: Things with names. Drawables * Dots:: Draw dots. * Lines:: Draw polylines. * Curves:: Draw curves. * Polygons:: Draw polygons. * Specials:: Embed raw LaTeX and `PSTricks'. * Sweeps:: Draw sweeps of dots and polylines. * Blocks:: Group other drawables. * Repeats:: Draw transformed copies of objects. * Puts:: Draw one object transformed. Sweeps * Swept points:: Swept points make lines or polygons. * Swept lines:: Swept lines make open or closed surfaces. * Swept polygons:: Swept polygons make closed surfaces. * Swept blocks:: Swept block == block of sweeps. * Sweep face splitting:: Fixing warped faces with triangles. Definitions * Forms of definitions:: Different defs for different purposes. * Forms of references:: How references denote types. Global environment * Global options:: Attributes of the entire drawing. * Camera:: A final camera transformation of the scene. * Picture box:: Setting the bounding box and 2d clipping. * Frame:: Adding a box around the drawing. * Language:: Setting the output language. Building a drawing * Overview:: Building a substantial drawing. * A technical drawing:: An example with fine placement. * A hierarchical model:: An example with sweeps and puts. * Caveats:: Where trouble can occur. Caveats * Limits on error detection:: What sketch doesn't do. * Clipping:: No clipping at present. * Hidden surface removal:: Imperfections to fix. Hidden surface removal and polygon splitting * Statistics:: Performance numbers on depth sort. * Bugs and anomalies:: Imperfections in this implementation.  File: sketch.info, Node: About sketch, Next: Introduction by example, Prev: Top, Up: Top 1 About sketch ************** * Menu: * Reporting bugs:: Let use know what's wrong! * Contributions:: How you can help.... `Sketch' is a small, simple system for producing line drawings of two- or three-dimensional objects and scenes. It began as a way to make illustrations for a textbook after we could find no suitable tool for this purpose. Existing scene processors emphasized GUIs and/or photo-realism, both un-useful to us. We wanted to produce finely wrought, mathematically-based illustrations with no extraneous detail. `Sketch' accepts a tiny scene description language and generates `PSTricks' or `TikZ/PGF' code for LaTeX. The `sketch' language is similar to `PSTricks', making it easy to learn for current `PSTricks' users. See www.pstricks.de for information on `PSTricks'. `TikZ/PGF' is similar. See http://sourceforge.net/projects/pgf. One can easily include arbitrary `PSTricks' or `TikZ/PGF' drawings and text over, in, or under `sketch' drawings, providing access to the full power of LaTeX text and mathematics formatting in a three-dimensional setting.  File: sketch.info, Node: Reporting bugs, Next: Contributions, Prev: About sketch, Up: About sketch 1.1 Reporting bugs and recommending improvements. ================================================= The group http://groups.google.com/group/sketch-users is the best place to report bugs and make improvements. A second method that will probably produce a slower response is email to sketch@frontiernet.net. We will try to respond, but can't promise. In any event, don't be offended if a reply is not forthcoming. We're just busy and will get to your suggestion eventually. For bugs, attach a `sketch' input file that causes the bad behavior. Embed comments that explain what to look for in the behavior of `sketch' or its output. A recommendation for improvement from one unknown person counts as one vote. We use overall vote tallies to decide what to do next as resources permit. We reserve the right to assign any number of votes to suggestions from people who have been helpful and supportive in the past.  File: sketch.info, Node: Contributions, Prev: Reporting bugs, Up: About sketch 1.2 Contributions ================= If you intend to implement an enhancement of your own, that's terrific! Consider collaborating with us first to see if we're already working on your idea or if we can use your work in the official release. [image src="ex000.png" text="Image ex000 omitted in text version of this document."]  File: sketch.info, Node: Introduction by example, Next: Input language, Prev: About sketch, Up: Top 2 Introduction by example ************************* The `sketch' input language will seem familiar to users of the `PSTricks' package for LaTeX. The following program draws a triangular polygon pierced by a line. polygon(0,0,1)(1,0,0)(0,1,0) line(-1,-1,-1)(2,2,2) The coordinate system is a standard right-handed Cartesian one. [image src="ex010.png" text="Image ex010 omitted in text version of this document."] * Menu: * Hello world:: Simplest possible `sketch' program. * Drawing options:: Controlling object appearance. * Drawing a solid:: Drawing an object with 3d appearance. * Special objects:: Laying TeX over, in, or under drawings. * Object transforms:: Rotate, translate, scale, and others. * Repeated objects:: Making transformed copies. * Swept objects:: Sweeping objects in space to make new shapes.  File: sketch.info, Node: Hello world, Next: Drawing options, Prev: Introduction by example, Up: Introduction by example 2.1 Hello world =============== The `sketch' program above is nearly the simplest one possible, the equivalent of a "hello world" program you might find at the start of a programming language text. If it is saved in the file `simple.sk', then the command sketch simple.sk -o simple.tex creates a file `simple.tex' containing `PSTricks' commands to draw these objects on paper. The contents of `simple.tex' look like this. \begin{pspicture}(-1,-1)(2,2) \pstVerb{1 setlinejoin} \psline(-1,-1)(.333,.333) \pspolygon[fillstyle=solid,fillcolor=white](0,0)(1,0)(0,1) \psline(.333,.333)(2,2) \end{pspicture} The hidden surface algorithm of `sketch' has split the line into two pieces and ordered the three resulting objects so that the correct portion of the line is hidden. If you've noticed that the projection we are using seems equivalent to erasing the z-coordinate of the three-dimensional input points, pat yourself on the back. You are correct. This is called a "parallel projection". The z-coordinate axis is pointing straight out of the paper at us, while the x- and y-axes point to the right and up as usual. The resulting picture file can be included in a LaTeX document with \input{simple}. Alternately, adding the command line option `-T'(1) causes the `pspicture' to be wrapped in a short but complete document, ready to run though LaTeX. In a finished, typeset document, the picture looks like this. (The axes have been added in light gray.) [image src="ex020.png" text="Image ex020 omitted in text version of this document."] It is important to know that only the "outside" of a polygon is normally drawn. The "outside" is where the vertices given in the `polygon' command appear in _counter-clockwise_ order. Thus, if the command above had been polygon(0,1,0)(1,0,0)(0,0,1) the polygon would not appear in the picture at all. It would have been "culled" from the scene. This culling behavior may seem strange, but stay tuned. ---------- Footnotes ---------- (1) Or for European users of A4 size paper, `-Te'.  File: sketch.info, Node: Drawing options, Next: Drawing a solid, Prev: Hello world, Up: Introduction by example 2.2 Options =========== Many `PSTricks' and `TikZ/PGF' options work just fine in `sketch'. If generating `PSTricks', the code polygon[fillcolor=lightgray,linewidth=3pt](0,0,1)(1,0,0)(0,1,0) line[linestyle=dotted](-1,-1,-1)(2,2,2) produces [image src="ex030.png" text="Image ex030 omitted in text version of this document."] To produce `TikZ/PGF', the corresponding code is polygon[fill=lightgray,line width=3pt](0,0,1)(1,0,0)(0,1,0) line[style=dotted](-1,-1,-1)(2,2,2) global { language tikz } The final `global' instructs `sketch' to produce `TikZ/PGF' code as output rather than the default, `PSTricks'. Note that `polygon' fill color and `line' style options both conform to `TikZ' syntax rules. The resulting `TikZ/PGF' output is \begin{tikzpicture}[join=round] \draw[dotted](-1,-1)--(.333,.333); \filldraw[fill=lightgray,line width=3pt](0,0)--(1,0)--(0,1)--cycle; \draw[dotted](.333,.333)--(2,2); \end{tikzpicture} The remaining examples of this manual are in PSTricks style.  File: sketch.info, Node: Drawing a solid, Next: Special objects, Prev: Drawing options, Up: Introduction by example 2.3 Drawing a solid =================== Let's try something more exciting. `Sketch' has no notion of a solid, but polygonal "faces" can be used to represent the boundary of a solid. To the previous example, let's add three more triangular polygons to make the faces of an irregular tetrahedron. % vertices of the tetrahedron def p1 (0,0,1) def p2 (1,0,0) def p3 (0,1,0) def p4 (-.3,-.5,-.8) % faces of the tetrahedron. polygon(p1)(p2)(p3) % original front polygon polygon(p1)(p4)(p2) % bottom polygon(p1)(p3)(p4) % left polygon(p3)(p2)(p4) % rear % line to pierce the tetrahedron line[linecolor=red](-1,-1,-1)(2,2,2) This example uses "definitions", which begin with `def'. These "define" or give names to points, which are then available as "references" by enclosing the names in parentheses, e.g. (foo). The parentheses denote that the names refer to points; they are required. There can be no white space between them and the name. As you can see, comments start with % as in TeX and extend to the end of the line (though # will work as well). White space, including spaces, tabs and blank lines, has no effect in the `sketch' language. [image src="ex040.png" text="Image ex040 omitted in text version of this document."] If we look inside the TeX file produced by `sketch', there will be only three polygons. The fourth has been culled because it is a "back face" of the tetrahedron, invisible to our view. It is unnecessary, and so it is removed. In some drawings, polygons act as zero-thickness solid surfaces with both sides visible rather than as the faces of solid objects, where back faces can be culled. For zero-thickness solids, culling is a problem. One solution is to use a pair of `sketch' polygons for each zero-thickness face, identical except with opposite vertex orders. This is unwieldy and expensive. A better way is to set the `sketch' internal option `cull' to `false' in the usual `PSTricks' manner. polygon[cull=false](p1)(p2)(p3) The following shows the same helix shape drawn first with cull=true (the default) and then cull=false. [image src="ex045.png" text="Image ex045 omitted in text version of this document."] We'll soon see how to produce these helixes with a few lines of `sketch' language code. It may be tempting to turn culling off gratuitously so that vertex order can be ignored. This is not a good idea because output file size and TeX and Postscript processing time both depend on the number of output polygons. Culling usually improves performance by a factor of two. On the other hand, globally setting `cull=false' is reasonable while debugging. See *Note Global options:: and *Note Limits on error detection::.  File: sketch.info, Node: Special objects, Next: Object transforms, Prev: Drawing a solid, Up: Introduction by example 2.4 Special objects =================== We can add labels to a drawing by using special objects, which provide a way to embed raw LaTeX and `PSTricks' code. Adding this to the tetrahedron does the trick. special |\footnotesize \uput{2pt}[ur]#1{$P1$} \uput[r]#2{$P2$} \uput[u]#3{$P3$} \uput[d]#4{$P4$}| (p1)(p2)(p3)(p4) Here is the result. [image src="ex042.png" text="Image ex042 omitted in text version of this document."] There are several details to note here. First, the quoting convention for the raw code is similar to the LaTeX \verb command. The first non-white space character following special is understood to be the quote character, in this case `|'. The raw text continues until this character recurs. Second, the argument references #1, #2, #3, and #4 refer to point, vector, or scalar values in the list that follow. This is similar to TeX macro syntax. The transformed and two-dimensional projections of these three-dimensional points are substituted in the final output. An argument reference of the form #1-2 is replaced with the angle in degrees of the two-dimensional vector that connects the projections of the two respective argument points, here #1 and #2. The substituted angle is enclosed in curly braces `{ }'. When `TikZ/PGF' output is being generated, the angle is rounded to the nearest degree because non-integer angles are not allowed by `TikZ/PGF' primitives. As of Version 0.3 of `sketch', special arguments may be scalars or vectors in addition to points. References to scalar arguments are merely replaced with a number formatted just as any point coordinate. References to vectors become two-dimensional points. The tick operator that selects individual components of points and vectors elsewhere in `sketch' (see for example *Note Affine arithmetic::) can also be applied to point and vector argument references. All three dimensions of a transformed point or vector can also be substitued with `'3'. See *Note Specials:: for details. By default, `special' objects are printed last, overlaying all other objects in the scene. If you specify the internal option `lay=in', the hidden surface algorithm considers the entire special object to be the first point (#1) in the argument list. If that point is behind (of smaller z-component than) any drawable, then the entire special object is drawn before that drawable, so the drawable obscures parts of the special object that overlaps it. In our example, p1 is the front-most point in the scene (has the largest z-component), so adding `lay=in' has no effect. With option `lay=under', a special is drawn _before_, hence appears _under_ any of the objects handled by the hidden surface algorithm. This is how the light gray axes were added to the "hello world" example *Note Hello world::. Special objects are powerful, with many possible uses.  File: sketch.info, Node: Object transforms, Next: Repeated objects, Prev: Special objects, Up: Introduction by example 2.5 Transforms ============== Now let's add a second copy of the pierced tetrahedron. We'll rotate the copy 90 degrees about the x-axis with the origin as "center of rotation" so we can see the back, then translate it to the right--in the positive x-direction--so it doesn't collide with the original. To help us see what's going on, make the back side gray. def pierced_tetrahedron { def p1 (0,0,1) def p2 (1,0,0) def p3 (0,1,0) def p4 (-.3,-.5,-.8) polygon(p1)(p2)(p3) % original polygon(p1)(p4)(p2) % bottom polygon(p1)(p3)(p4) % left polygon[fillcolor=lightgray](p3)(p2)(p4) % rear line[linecolor=red](-1,-1,-1)(2,2,2) } {pierced_tetrahedron} % tetrahedron in original position put { rotate(90, (0,0,0), [1,0,0]) % copy in new position then translate([2.5,0,0]) } {pierced_tetrahedron} Here the entire code of the previous example has been wrapped in a definition by forming a "block" with braces (a single item would not need them). The point definitions nested inside the braces are "lexically scoped". Their meaning extends only to the end of the block. The outer def is called a "drawable" definition because it describes something that can be drawn. A drawable definition by itself causes nothing to happen until its name is referenced. Drawable references must be enclosed in curly braces, e.g. {foo}, with no intervening white space. In the code above, the first reference {pierced_tetrahedron} is a plain one. Its effect is merely to duplicate the earlier drawing. Almost any series of `sketch' commands stuff may be replaced with def foo { stuff } {foo} without changing its meaning. The put command supplies a second reference, this time with a "transform" applied first. The rotate transform turns the tetrahedron 90 degrees about the origin. The axis of rotation is the vector [1,0,0]. By the "right hand rule", this causes the top of the tetrahedron to rotate toward the viewer and the bottom away. The rule receives its name from the following definition: *Right hand rule.* If the right hand is wrapped around any axis with the thumb pointing in the axis direction, then the fingers curl in the direction of positive rotation about that axis. The translate transform moves the pyramid laterally to the right by adding the vector [2.5,0,0] to each vertex coordinate. The result is shown here. [image src="ex050.png" text="Image ex050 omitted in text version of this document."]  File: sketch.info, Node: Repeated objects, Next: Swept objects, Prev: Object transforms, Up: Introduction by example 2.6 Repeated objects ==================== To draw seven instances of the tetrahedron, each differing from the last by the same transform, replace the last two commands of the previous example with repeat { 7, rotate(15, (0,0,0), [1,0,0]) % copy in new position then translate([2,0,0]) } {pierced_tetrahedron} And the result.... [image src="ex060.png" text="Image ex060 omitted in text version of this document."]  File: sketch.info, Node: Swept objects, Prev: Repeated objects, Up: Introduction by example 2.7 Swept objects ================= Many familiar shapes can be generated by sweeping simpler ones through space and considering the resulting path, surface, or volume. `Sketch' implements this idea in the sweep command. def n_segs 8 sweep { n_segs, rotate(180 / n_segs, (0,0,0), [0,0,1]) } (1,0,0) This code sweeps the point (1,0,0) eight times by rotating it 180/8 = 22.5 degrees each time and connecting the resulting points with line segments. The def used here is a "scalar" definition. References to scalars have no enclosing brackets at all. * Menu: * Point sweeps:: Swept points make lines and polygons. * Polyline sweeps:: Swept lines make surfaces. * Nested sweeps:: Swept sweeps are useful! * Polygon sweeps:: Swept polygons make solids... * Polyline sweeps with closure:: and so do closed polyline sweeps. * Affine arithmetic:: Sketch useful math expression. * More to learn:: Check out the Mobius strip!  File: sketch.info, Node: Point sweeps, Next: Polyline sweeps, Prev: Swept objects, Up: Swept objects 2.7.1 Point sweeps ------------------ Sweeping a point makes a one-dimensional path, which is a polyline. Since we have swept with a rotation, the result is a circular arc. Here is what it looks like. [image src="ex070.png" text="Image ex070 omitted in text version of this document."] This is the first example we have seen of `sketch' arithmetic. The expression 180 / n_segs causes the eight rotations to add to 180. If you're paying attention, you'll have already noted that there are _nine_ points, producing eight line segments. You can cause the swept point to generate a single polygon rather than a polyline by using the "closure tag" <> after the number of swept objects. Code and result follow def n_segs 8 sweep { n_segs<>, rotate(180 / n_segs, (0,0,0), [0,0,1]) } (1,0,0) [image src="ex080.png" text="[Image ex080 omitted in text version of this document.]"]  File: sketch.info, Node: Polyline sweeps, Next: Nested sweeps, Prev: Point sweeps, Up: Swept objects 2.7.2 Polyline sweeps --------------------- Sweeping a polyline produces a surface composed of many faces. The unbroken helix in the example *Note Helix with cull set false then true:: is produced by this code (plus a surrounding put rotation to make an interesting view; this has been omitted). def K [0,0,1] sweep[cull=false] { 60, rotate(10, (0,0,0), [K]) then translate(1/6 * [K]) } line[linewidth=2pt](-1,0)(1,0) Again, 60 segments of the helix are produced by connecting 61 instances of the swept line. Options applied to the sweep, here cull=false, are treated as options for the generated polygon or polyline. Options of the swept line itself, here linewidth=2pt, are ignored, though with a warning. This def is a "vector" definition, which must be referenced with square brackets, e.g. [foo].  File: sketch.info, Node: Nested sweeps, Next: Polygon sweeps, Prev: Polyline sweeps, Up: Swept objects 2.7.3 Nested sweeps ------------------- When the center point of rotation is omitted, the origin is assumed. When a point has only two coordinates, they are taken as x and y, with z=0 assumed. A toroid is therefore obtained with this code. def n_toroid_segs 20 def n_circle_segs 16 def r_minor 1 def r_major 1.5 sweep { n_toroid_segs, rotate(360 / n_toroid_segs, [0,1,0]) } sweep { n_circle_segs, rotate(360 / n_circle_segs, (r_major,0,0)) } (r_major + r_minor, 0) For intuition, the idea of the code is to sketch a circle to the right of the origin in the xy-plane, then rotate that circle "out of the plane" about the y-axis to make the final figure. This produces the following. (A view rotation and some axes have been added.) [image src="ex090.png" text="Image ex090 omitted in text version of this document."] This example also shows that the swept object may itself be another `sweep'. In fact, it may be _any_ `sketch' expression that results in a list of one or more points or, alternately, a list of one or more polylines and polygons. The latter kind of list can be created with a { }-enclosed block, perhaps following a put or repeat.  File: sketch.info, Node: Polygon sweeps, Next: Polyline sweeps with closure, Prev: Nested sweeps, Up: Swept objects 2.7.4 Polygon sweeps -------------------- Sweeping a polygon creates a closed surface with polygons at the ends, which are just copies of the original, appropriately positioned. *Note Solid coil example::. Options on the swept polygon, if they exist, are applied to the ends. Otherwise the sweep options are used throughout.  File: sketch.info, Node: Polyline sweeps with closure, Next: Affine arithmetic, Prev: Polygon sweeps, Up: Swept objects 2.7.5 Polyline sweeps with closure ---------------------------------- A polyline sweep with a closure tag creates another kind of closed surface. First, the polyline segments are connected by faces, just as without the closure tag. Then, each set of end points is joined to make a polygon, one for each end. A code for several views of a cylindrical prism follows. def n_cyl_segs 20 def n_views 5 def I [1,0,0] def endopts [fillcolor=lightgray] repeat { n_views, rotate(180/n_views, [I]) then translate([I] * 2.1) } sweep[endopts]{ n_cyl_segs<>, rotate(360/n_cyl_segs, [0,1,0]) } line[fillcolor=white](1,-1)(1,1) It produces this drawing. [image src="ex110.png" text="Image ex110 omitted in text version of this document."] The options of the swept line, if any, are applied to the faces produced by sweeping the line, but not the end polygons. Otherwise, the sweep options are applied throughout. The def in this example is an "option" definition. References to options must be enclosed in square brackets, e.g. [foo]. You can concatenate several sets of options with a single reference, e.g. [color, size, style] would cause the option definitions for `color', `size', and `style' to appear in sequence in the output created by the `sketch' command containing the reference. Happily, the syntax of `sketch' is such that options references can never be confused with vector references. While not apparent in this example, options references are useful when defining many objects with a similar appearance.  File: sketch.info, Node: Affine arithmetic, Next: More to learn, Prev: Polyline sweeps with closure, Up: Swept objects 2.7.6 Affine arithmetic ----------------------- The arithmetic [I] * 2.1 above hints at a larger truth. `Sketch' operators work on scalars, vectors, points, and transforms according to the general rules of "affine algebra". This can be helpful for setting up diagrams with computed geometry. For example, if you have triangle vertices (p1) through (p3) and need to draw a unit normal vector pointing out of the center of the triangle, this code does the trick. def p1 (1,0,0) def p2 (0,0.5,0) def p3 (-0.5,-1,2) def O (0,0,0) def N unit( ((p3) - (p2)) * ((p1) - (p2)) ) def n1 ((p1)-(O) + (p2)-(O) + (p3)-(O)) / 3 + (O) def n2 (n1)+[N] polygon(p1)(p2)(p3) line[arrows=*->](n1)(n2) The first line computes the cross product of two edge vectors of the triangle and scales it to unit length. The second computes the average of the vertices. Note that subtraction and addition of the origin effectively convert vectors to points and _vice versa_. The line command draws the normal at the correct spot. [image src="ex100.png" text="Image ex100 omitted in text version of this document."] Two caveats regarding this example remain. First, the only way to use `PSTricks'-style arrows is with arrows=. The alternative syntax for `PSTricks' arrows is not allowed in sketch. Second, you might like to eliminate the third def and write instead the following. line[arrows=*->](n1) (n1)+[N] This is not allowed. The point lists in drawables may consist only of explicit points or point references. You may, however, use arithmetic to calculate point components. The following works, though it's a little cumbersome. line[arrows=*->](n1)((n1)'x+(N)'x, (n1)'y+(N)'y, (n1)'z+(N)'z) Obviously, the "tick operator" `'x' extracts components of points and vectors.  File: sketch.info, Node: More to learn, Prev: Affine arithmetic, Up: Swept objects 2.7.7 More to learn ------------------- This is not the end of the story on sweeps! We invite the reader into the main body of this documentation *Note Sweeps:: to learn more. [image src="ex120.png" text="Image ex120 omitted in text version of this document."] Who knows where you'll finish?  File: sketch.info, Node: Input language, Next: Building a drawing, Prev: Introduction by example, Up: Top 3 Input language **************** This chapter describes the `sketch' input language in detail. * Menu: * Language basics:: Case, space, comments, include files. * Drawables:: Things that can be drawn. * Definitions:: Giving things names. * Global environment:: Affect the entire drawing.  File: sketch.info, Node: Language basics, Next: Drawables, Prev: Input language, Up: Input language 3.1 Basics ========== `Sketch' input is plain ASCII text, usually stored in an input file. It describes a "scene", so the sketch language is a "scene description language". `Sketch' input is also "declarative". It merely declares what the scene ought to look like when drawing is complete and says very little about how `sketch' should do its work. `Sketch' commands are not executed sequentially as in the usual programming language. They merely contribute to that declaration. A few syntactic details are important. Case is significant in the `sketch' language. With a few exceptions, white space is not. This includes line breaks. Comments begin with `%' or `#' and extend to the end of the line. You can disable a chunk of syntactically correct `sketch' code by enclosing it in a `def'. There is a simple "include file" mechanism. The command input{otherfile.sk} causes the contents of `otherfile.sk' to be inserted as though they were part of the current file. * Menu: * Identifiers:: Names for things. * Key and reserved words:: Names you shouldn't use. * Literals:: Constants and constructors. * Arithmetic:: Rules for expressions. * Options:: Modifying object appearance.  File: sketch.info, Node: Identifiers, Next: Key and reserved words, Prev: Language basics, Up: Language basics 3.1.1 Identifiers ----------------- Identifiers in `sketch' are references to earlier-defined options, scalars, points, vectors, transforms, drawables, and tags. Definitions are explained in *Note Definitions::. An identifier consists of a leading letter followed by letters, numbers and underscores. The last character may _not_ be an underscore. Keywords cannot be used as identifiers, and reserved words ought to be avoided. *Note Key and reserved words::.  File: sketch.info, Node: Key and reserved words, Next: Literals, Prev: Identifiers, Up: Language basics 3.1.2 Key and reserved words ---------------------------- The keywords of `sketch' are `picturebox' `curve' `def' `dots' `frame' `global' `input' `line' `polygon' `put' `repeat' `set' `sweep' and `then'. The `sketch' parser will note a syntax error if any of these are used in place of a proper identifier. In addition, there are reserved words that can currently be defined by the user, but with the risk that future versions of `sketch' will reject those definitions. The reserved words are `acos' `asin' `atan2' `cos' `inverse' `perspective' `project' `rotate' `scale' `sin' `special' `sqrt' `translate' `unit' and `view'.  File: sketch.info, Node: Literals, Next: Arithmetic, Prev: Key and reserved words, Up: Language basics 3.1.3 Literals -------------- Literals in `sketch' include scalars, points, vectors, and transforms. Literals, along with defined object references, are used in arithmetic expressions. *Note Arithmetic::. * Menu: * Scalar literals:: Just the numbers. * Point and vector literals:: 3d quantities. * Transform literals:: Matrix form.  File: sketch.info, Node: Scalar literals, Next: Point and vector literals, Prev: Literals, Up: Literals 3.1.3.1 Scalar literals ....................... Scalar literals are positive floating point numbers with syntax according to C conventions. The following are some examples. 0 1004 .001 8.3143 3. 1.60E-19 6.02e+23 Scalar literals may not contain embedded spaces.  File: sketch.info, Node: Point and vector literals, Next: Transform literals, Prev: Scalar literals, Up: Literals 3.1.3.2 Point and vector literals ................................. Points and vector literals have these forms respectively. (X,Y,Z) [X,Y,Z] Each of the components is itself a scalar expression. The z-components are optional and default to zero.  File: sketch.info, Node: Transform literals, Prev: Point and vector literals, Up: Literals 3.1.3.3 Transform literals .......................... Most transform literals are formed by "constructors". These are summarized in the following table. Constructor Param types Description --------------------------------------------------------------------------------------------------- `rotate(A,P,X)' scalar,point,vector Rotate `A' degrees about point `P' with axis `X' according to the right hand rule. *Note Right hand rule::. `P' and `X' are both optional and default to the origin and the z-axis respectively. `translate(X)' vector Translate by `X'. `scale(S)' scalar Scale uniformly by factor `S'. `scale(V)' vector Scale along each axis by components of `V'. `project()' -- Same as `scale([1,1,0])'. `project(S)' scalar Perspective projection with view center at origin and projection plane z=-`S'. `perspective(S)' scalar Perspective _transform_ identical to `project(S)' except that the z-coordinate of the transformed result is "pseudodepth", usable by the hidden surface algorithm. `view(E,D,U)' point,vector,vector View transform similar to that of `OpenGL''s. The _eye point_ `E' is translated to the origin while a rotation is also applied that makes the _view direction vector_ `D' and the _view "up" vector_ `U' point in the negative z- and the y-directions respectively. If `U' is omitted, it defaults to [0,1,0]. When `U' is omitted, `D' may be also; it defaults to `(0,0,0)-(E)', a vector pointing from the eye toward the origin. `view(E,L,U)' point,point,vector An alternate form of `view(E,D,U)' above where the view direction parameter `D' is replaced with a "look at" point `L', i.e., a point where the viewer is focusing her attention. This form of view is equivalent to `view(E, (L)-(E), U)', where `(L)-(E)' is a direction vector. `U' is optional and defaults to [0,1,0]. `[[a_11,a_12,a_13,a_14]' 16 scalars Direct transform matrix definition. Each of ` [a_21,a_22,a_23,a_24]' the a_ij is a scalar expression. See text for ` [a_31,a_32,a_33,a_34]' details. ` [a_41,a_42,a_43,a_44]]' The `project' constructor is not generally useful because it defeats hidden surface removal by collapsing the scene onto a single plane. It is a special purpose transform for drawing pictures of scenes where three-dimensional objects are being projected onto planes. See, for example, *Note Overview::. The direct transform constructor allows direct entry of a 4x4 transformation matrix. Most 3d graphics systems, including `sketch', use 4-dimensional homogeneous coordinates internally. These are transformed by multiplication with 4x4 matrices. The built-in constructors (`rotate', `scale', etc.) are all translated internally to such 4x4 matrices. For more information on homogeneous coordinate transformations, see any good computer graphics textbook. The direct transform feature of `sketch' allows you to enter a matrix of your own choice. There are not many cases where this is useful, but if you do need it, you need it badly!  File: sketch.info, Node: Arithmetic, Next: Options, Prev: Literals, Up: Language basics 3.1.4 Arithmetic expressions ---------------------------- Arithmetic expressions over `sketch' literals and defined identifiers are summarized in the following tables. * Menu: * Two-operand (binary) forms:: A op B * Unary forms:: op A (and others)  File: sketch.info, Node: Two-operand (binary) forms, Next: Unary forms, Prev: Arithmetic, Up: Arithmetic 3.1.4.1 Two-operand (binary) forms and precedence ................................................. Most two-operand binary forms have meanings dependent on the types of their arguments. An exhaustive summary of the possibilities is given in the following table. Left Op Right Result Description ---------------------------------------------------------------------------------------------------------------------- scalar `+' scalar scalar Scalar sum. vector `+' vector vector Vector sum. point `+' vector point Point-vector affine sum. vector `+' point " " scalar `-' scalar scalar Scalar difference. vector `-' vector vector Vector difference. point `-' point vector Point-point affine difference. point `-' vector point Point-vector affine difference. scalar `*' or scalar scalar Scalar product. `.' scalar `*' or vector vector Scalar-vector product. `.' vector `*' or scalar " " `.' vector `*' vector vector Vector cross-product. vector `.' vector scalar Vector dot product. scalar `^' scalar scalar Raise scalar to scalar power. transform `^' integer transform Raise transform to integer power. transform `*' or point point Affine point transform (right-to-left). `.' transform `*' or vector vector Affine vector transform (right-to-left). `.' transform `*' or transform transform Transform composition (right-to-left). `.' point `then' transform point Affine point transform (left-to-right). vector `then' transform vector Affine vector transform (left-to-right). transform `then' transform transform Transform composition (left-to-right). scalar `/' scalar scalar Scalar division. vector `/' scalar vector Vector component-wise division by scalar. point `'' `x', `y', scalar Point component extraction. or `z' vector `'' `x', `y', scalar Vector component extraction. or `z' Operator precedence is shown in this table. Op Precedence ------------------------------------------ `'' highest (most tightly binding) `^' `-' (unary negation) `*' `.' `/' `+' `-' `then' lowest (least tightly binding) All operations are left-associative except for `^'. Parentheses `( )' are used for grouping to override precedence in the usual way. As you can see, the dot operator `.' is usually a synonym for run-of-the-mill multiplication, `*'. The meanings differ only for vector operands. The `then' operator merely reverses the operand order with respect to normal multiplication `*'. The intent here is to make compositions read more naturally. The code (1,2,3) then scale(2) then rotate(30) then translate([1,3,0]) expresses a series of successive modifications to the point, whereas the equivalent form translate([1,3,0]) * rotate(30) * scale(2) * (1,2,3) will be intuitive only to mathematicians (and perhaps Arabic language readers).  File: sketch.info, Node: Unary forms, Prev: Two-operand (binary) forms, Up: Arithmetic 3.1.4.2 Unary forms ................... Unary or one-operand forms are summarized in the following table, where `X' stands for the operand. Op Operand Result Description ------------------------------------------------------------------------------------ `-X' scalar scalar Unary scalar negation. `-X' vector vector Unary vector negation. `|X|' vector scalar Vector length. `unit(X)' vector vector Unit vector with same direction. `sqrt(X)' scalar scalar Scalar square root. `sin(X)' scalar scalar Trigonometric sine (`X' in degrees). `cos(X)' scalar scalar Trigonometric cosine (`X' in degrees). `asin(X)' scalar scalar Inverse sine (`X' in degrees). `acos(X)' scalar scalar Inverse cosine (`X' in degrees). `atan2(X,Y)' scalar scalar Polar angle in degrees of vector [X,Y]. `inverse(X)' transform transform Inverse transform. Errors are reported when `|X|', `unit', `asin', `acos', `sqrt', `atan2', and `inverse' fail due to operands outside their respective domains.  File: sketch.info, Node: Options, Prev: Arithmetic, Up: Language basics 3.1.5 Options ------------- *Syntax:* [KEY1=VAL1,KEY2=VAL2,...] Options are used to specify details of the appearance of drawables. As shown above, they are given as comma-separated key-value pairs. * Menu: * PSTricks options:: Options inherited from `PSTricks'. * TikZ/PGF options:: Options inherited from `TikZ/PGF'. * Dots in TikZ/PGF:: Sketch uses `TikZ/PGF' circles for dots. * TikZ/PGF user-defined styles:: Support for `TikZ/PGF' named, user-defined styles. * Transparency:: See-through polygons. * Internal options:: Options used by `sketch'.  File: sketch.info, Node: PSTricks options, Next: TikZ/PGF options, Prev: Options, Up: Options 3.1.5.1 `PSTricks' options .......................... When `language pstricks' is selected (the default), permissible key-value pairs include all those for similar `PSTricks' objects. For example, a polygon might have the options [linewidth=1pt,linecolor=blue,fillcolor=cyan] `Sketch' merely passes these on to `PSTricks' without checking or modification. Option lists are always optional. A missing options list is equivalent to an empty one `[]'. When a `polygon' has options for both its face and its edges, and the polygon is split by the hidden surface algorithm, `sketch' must copy the edge options to `psline's for the edge segments and the face options to `pspolygon's. Options known to `sketch' for purposes of this splitting operation include `arrows', `dash', `dotsep', `fillcolor', `fillstyle', `linecolor', `linestyle', `linewidth', `opacity', `showpoints', `strokeopacity', and `transpalpha'.  File: sketch.info, Node: TikZ/PGF options, Next: Dots in TikZ/PGF, Prev: PSTricks options, Up: Options 3.1.5.2 `TikZ/PGF' options .......................... `TikZ/PGF' options are handled much as for `PSTricks'. Though `TikZ/PGF' often allows colors and styles to be given without corresponding keys, for example, \draw[red,ultra thick](0,0)--(1,1); this is not permitted in `sketch'. To draw a red, ultra-thick line in `sketch', the form is line[draw=red,style=ultra thick](0,0)(1,1) Just as for `PSTricks', when a `polygon' has options for both its face and its edges, and the polygon is split by the hidden surface algorithm, `sketch' must copy the edge options to `psline's for the edge segments and the face options to `pspolygon's. `TikZ/PGF' options known to `sketch' for purposes of this splitting operation include `arrows', `cap', `color', `dash pattern', `dash phase', `double', `double distance', `draw', `draw opacity', `fill', `fill opacity', `join', `line width', `miter limit', `pattern', `pattern color', and `style'. The `style' option can contain both face and edge information, so `sketch' must check the style value. Values known to `sketch' include `dashed', `densely dashed', `densely dotted', `dotted', `double', `loosely dashed', `loosely dotted', `nearly opaque', `nearly transparent', `semithick', `semitransparent', `solid', `thick', `thin', `transparent', `ultra nearly transparent', `ultra thick', `ultra thin', `very nearly transparent', `very thick', and `very thin'.  File: sketch.info, Node: Dots in TikZ/PGF, Next: TikZ/PGF user-defined styles, Prev: TikZ/PGF options, Up: Options 3.1.5.3 Dots in `TikZ/PGF' .......................... `TikZ/PGF' does not have a `dots' command as does PSTricks. Instead, `Sketch' emits dots as `filldraw' circles. The diameter may be set using the option `dotsize' borrowed from PSTricks. The `dotsize' option will be removed from the option list in the output `filldraw' command. Other options work in the expected way. For example, `fill' sets fill color and `color' sets line color of the circles.  File: sketch.info, Node: TikZ/PGF user-defined styles, Next: Transparency, Prev: Dots in TikZ/PGF, Up: Options 3.1.5.4 `TikZ/PGF' user-defined styles ...................................... `TikZ/PGF' allows named styles defined by the user, for example \tikzstyle{mypolygonstyle} = [fill=blue!20,fill opacity=0.8] \tikzstyle{mylinestyle} = [red!20,dashed] Since `sketch' has no information on the contents of such styles, it omits them entirely from lines, polygons, and their edges during option splitting. For example, polygon[style=mypolygonstyle,style=thick](0,0,1)(1,0,0)(0,1,0) line[style=mylinestyle](-1,-1,-1)(2,2,2) produces the `TikZ' output \draw(-1,-1)--(.333,.333); \filldraw[thick,fill=white](0,0)--(1,0)--(0,1)--cycle; \draw(.333,.333)--(2,2); Note that the user-defined styles are not present. Sketch also issues warnings: warning, unknown polygon option style=mypolygonstyle will be ignored warning, unknown line option style=mylinestyle will be ignored The remedy is to state explicitly whether a user-defined style should be attched to polygons or lines in the `TikZ' output using _pseudo-options_ `fill style' and `line style', polygon[fill style=mypolygonstyle,style=thick](0,0,1)(1,0,0)(0,1,0) line[line style=mylinestyle](-1,-1,-1)(2,2,2) Now, the output is \draw[mylinestyle](-1,-1)--(.333,.333); \filldraw[mypolygonstyle,thick](0,0)--(1,0)--(0,1)--cycle; \draw[mylinestyle](.333,.333)--(2,2); A useful technique is to include user-defined style definitions in `sketch' code as `special's with option `[lay=under]' to ensure that the styles are emitted first in the output, before any uses of the style names. (1) For example, special|\tikzstyle{mypolygonstyle} = [fill=blue!20,fill opacity=0.8]|[lay=under] special|\tikzstyle{mylinestyle} = [red!20,dashed]|[lay=under] The author is responsible for using the key, `line style' or `fill style', that matches the content of the style definition. ---------- Footnotes ---------- (1) This clever trick is due to Kjell Magne Fauske.  File: sketch.info, Node: Transparency, Next: Internal options, Prev: TikZ/PGF user-defined styles, Up: Options 3.1.5.5 Transparency .................... Both `PSTricks' and `TikZ/PGF' support polygon options that have the effect of making the polygon appear transparent. For `PSTricks', keyword `transpalpha' was used during initial development of transparency features, and `opacity' was adopted later. `Sketch' honors both. `TikZ/PGF' uses `opacity' only. When transparent polygons are in the foreground, objects behind them (drawn earlier) are visible with color subdued and tinted. The hidden surface algorithm of `sketch' works well with such transparent polygons. Note that cull=false must be used for rear-facing polygons to be visible when positioned behind other transparent surfaces.  File: sketch.info, Node: Internal options, Prev: Transparency, Up: Options 3.1.5.6 Internal options ........................ There are also _internal_ options used only by `sketch' and not passed on to `PSTricks'. These are summarized in the following table. Key Possible values Description ------------------------------------------------------------------------------------------------ `cull' `true', `false' Turn culling of backfaces on and off respectively for this object. The default value is `true'. `lay' `over', `in', `under' Force this object to be `under' or `over' all other objects in the depth sort order created by the hidden surface algorithm. The default value `over' guarantees that output due to the `special' will be visible. `split' `true', `false' Turn splitting of sweep-generated body polygons on and off respectively. *Note Sweeps::. The default value `true' causes "warped" polygons to be split into triangles, which avoids mistakes by the hidden surface algorithm. 3.1.6 Point lists ----------------- *Syntax:* (X1,Y1,Z1)(X2,Y2,Z2)... A sequence of one or more points makes a point list, a feature common to all drawables. Each of the point components is a scalar arithmetic expression. Any point may have the z-component omitted; it will default to z=0. * Menu: * Drawables:: Things that are drawn. * Definitions:: Things with names.  File: sketch.info, Node: Drawables, Next: Definitions, Prev: Language basics, Up: Input language 3.2 Drawables ============= Drawables are simply `sketch' objects that might appear in the drawing. They include dots, polylines, curves, polygons, and more complex objects that are built up from simpler ones in various ways. Finally, "special" objects are those composed of LaTeX or `PSTricks' code, perhaps including coordinates and angles computed by `sketch'. * Menu: * Dots:: Draw dots. * Lines:: Draw polylines. * Curves:: Draw curves. * Polygons:: Draw polygons. * Specials:: Embed raw LaTeX and `PSTricks'. * Sweeps:: Draw sweeps of dots and polylines. * Blocks:: Group other drawables. * Repeats:: Draw transformed copies of objects. * Puts:: Draw one object transformed.  File: sketch.info, Node: Dots, Next: Lines, Prev: Drawables, Up: Drawables 3.2.1 Dots ---------- *Syntax:* dots[OPTIONS] POINT_LIST This command is the three-dimensional equivalent of the `PSTricks' command `\psdots'.  File: sketch.info, Node: Lines, Next: Curves, Prev: Dots, Up: Drawables 3.2.2 Lines ----------- *Syntax:* line[OPTIONS] POINT_LIST This command is the three-dimensional equivalent of the `PSTricks' command `\psline'.  File: sketch.info, Node: Curves, Next: Polygons, Prev: Lines, Up: Drawables 3.2.3 Curves ------------ *Syntax:* curve[OPTIONS] POINT_LIST This command is the three-dimensional equivalent of the `PSTricks' command `\pscurve'. It is not implemented in the current version of `sketch'.  File: sketch.info, Node: Polygons, Next: Specials, Prev: Curves, Up: Drawables 3.2.4 Polygons -------------- *Syntax:* polygon[OPTIONS] POINT_LIST This command is the three-dimensional equivalent of the `PSTricks' command `\pspolygon'. The `sketch' hidden surface algorithm assumes that polygons are convex and planar. In practice, drawings may well turn out correctly even if these assumptions are violated.  File: sketch.info, Node: Specials, Next: Sweeps, Prev: Polygons, Up: Drawables 3.2.5 Specials -------------- *Syntax:* special $RAW_TEXT$[OPTIONS] ARG_LIST Here `$' can be any character and is used to delimit the start and end of RAW_TEXT. The command embeds RAW_TEXT in the `sketch' output after performing substitutions as follows. * `#I' where I is a positive integer is replaced by the I'th value in ARG_LIST. Point and vector arguments become two-dimensional points, which are the transformed 3d arguments projected onto the X-Y plane. This allows two-dimentional output elements such as labels to be easily positioned with respect to three-dimensional features in the drawing. Scalar arguments are subsituted directly. No transformation is applied. * `#{I}' is also replaced as above. * `#I'2' is replaced as above for points or vectors. It is an error for the I'th argument to be a scalar. * `#I'x', `#I'y', or `#I'z' is replaced, respectively, by the scalar X, Y, or Z-coordinate of the argument point or vector. It is an error for the I'th argument to be a scalar. * `#I'3' is replaced by the three-dimensional transformed argument. Note that if a perspective transformation has been applied, the Z-coordinate has little geometric significance, though it accurately indicates relative depth. * `#I-J' where I and J are positive integers is replaced by a string `{ANGLE}' where ANGLE is the polar angle of a vector from the I'th point in POINT_LIST to the J'th point projected into the x-y plane. It is an error for the I'th or J'th argument to be a scalar or a vector. * `#{I-J}' is also replaced as above. * `##' is replaced with `#'. The forms with braces `{ }' are useful when the argument is immediately followed by a digit or a tick character that is part of the TeX code. The only useful option of `special' is `lay', which determines if the substitued raw text is emitted before, after, or using the first point in POINT_LIST as an indicator of depth. These occur, respectively, with `lay=under', `lay=over', and `lay=in'. See *Note Special objects:: and *Note TikZ/PGF user-defined styles:: for examples. *Note Internal options::.  File: sketch.info, Node: Sweeps, Next: Blocks, Prev: Specials, Up: Drawables 3.2.6 Sweeps ------------ *Syntax:* sweep { N, T_1, T_2, ..., T_R }[OPTIONS] SWEPT_OBJECT sweep { N<>, T_1, T_2, ..., T_R }[OPTIONS] SWEPT_OBJECT The sweep connects N (or perhaps N+1) copies of SWEPT_OBJECT in order to create a new object of higher dimension. The T_I (for i between 1 and r) are transforms. The k'th copy of SWEPT_OBJECT is produced by applying the following transform to the original. T_1^k then T_2^k then ... then T_R^k Here T^k means "transform T applied k times." The original object is the zero'th copy, with k=0 and effectively no transform applied (T^0=I, the identity transform). The method of connecting the copies depends on the type of SWEPT_OBJECT and on whether the closure tag `<>' is present or not. An example of a sweep where r=2 is the Mobius figure at *Note More to learn::. * Menu: * Swept points:: Swept points make lines or polygons. * Swept lines:: Swept lines make open or closed surfaces. * Swept polygons:: Swept polygons make closed surfaces. * Swept blocks:: Swept block == block of sweeps. * Sweep face splitting:: Fixing warped faces with triangles.  File: sketch.info, Node: Swept points, Next: Swept lines, Prev: Sweeps, Up: Sweeps 3.2.6.1 Swept points .................... If SWEPT_OBJECT is a point list and there is no closure tag, then `sweep' connects N+1 successive copies of each point (including the original) with straight line segments to form a polyline. If there are m points in the original point list, then m polylines with N segments each are formed by the sweep. In this manner, `sweep' forms a set of one-dimensional objects (polylines) from zero-dimensional ones (points). When there _is_ a closure tag, `sweep' connects N successive copies of each point (including the original) with straight line segments and finally connects the last copy back to the original to form a polygon with N sides. If there are m points in the original point list, then m polygons with N sides each are formed by the sweep. In this manner, `sweep' forms a set of two-dimensional objects (polygons) from zero-dimensional ones (points). Options of the `sweep' are copied directly to the resulting polyline(s).  File: sketch.info, Node: Swept lines, Next: Swept polygons, Prev: Swept points, Up: Sweeps 3.2.6.2 Swept lines ................... If SWEPT_OBJECT is a polyline and there is no closure tag, then `sweep' connects N+1 successive copies of the polyline (including the original) with four-sided polygons, each pair of copies giving rise to a "polygon strip." If there are m points in the original polyline, then (m-1)N polygons are formed by the sweep. We call these "body polygons". In this manner, `sweep' forms a two-dimensional surface from from a one-dimensional polyline. The order of vertices produced by `sweep' is important. If a polygon's vertices do not appear in counter-clockwise order in the final image, the polygon will be culled (unless `cull=false' is set). If the points in the k'th copy of the polyline are P_1, P_2, ..., P_m, and the points in the next copy, the (k+1)st, are P_1', P_2', ..., P_m', then the vertex order of the generated polygons is Body polygon 1: P_2 P_1 P_1' P_2' Body polygon 2: P_3 P_2 P_2' P_3' ... Body polygon m-1: P_m P_m-1 P_m-1' P_m' Options of unclosed line sweeps are copied to each output polygon. Options of the swept line are ignored. When there _is_ a closure tag, then `sweep' connects N successive copies of the polyline (including the original) with four-sided body polygons just as the case with no closure tag. It then connects the last copy back to the original to form a ribbon-shaped surface that closes on itself with two holes remaining. Finally, the sweep adds two more polygons to seal the holes and form a closed surface that, depending on the sweep transforms, may represent the boundary of a solid. In this manner, `sweep' forms the boundary of a three-dimensional object from a one-dimensional polyline. We call these hole-filling polygons "ends". The order of vertices of end polygons is important for correct culling as described above. If P_1^1, P_1^2, ..., P_1^n are the N copies of the first polyline point and P_m^1, P_m^2, ... ,P_m^n are the N copies of the last polyline point, then the end polygon vertex order is End polygon 1: P_1^n, P_1^n-1, ... ,P_1^1 End polygon 2: P_m^1, P_m^2, ... ,P_m^n If there are no options on the swept line, then the `sweep' options are copied to each output polygon. If the swept line does have options, these are copied to corresponding body polygons; the sweep options are copied to the end polygons. In this manner, body and ends may be drawn with different characteristics such as `fillcolor'.  File: sketch.info, Node: Swept polygons, Next: Swept blocks, Prev: Swept lines, Up: Sweeps 3.2.6.3 Swept polygons ...................... If SWEPT_OBJECT is a polygon, the `sweep' connects N+1 successive copies of the closed polyline border of the polygon to form body polygons exactly as though the border were a swept polyline as described in *Note Swept lines::. If there are m points in the original polygon, then mN body polygons are formed by this sweep. The body polygons form an "extrusion" of the boundary of the original polygon with two holes at the open ends. Finally, the sweep adds two copies of the original polygon to cover the holes. We call these hole-filling polygons "ends". In this manner, `sweep' forms the boundary of a three-dimensional object from a two-dimensional polygon. The order of vertices of end polygons is important for correct culling as described above. An exact copy of the original polygon with vertex order intact forms the first end polygon. The other end polygon results from transforming and the reversing the order of vertices in the original. The transform places the original polygon at the uncovered hole; it is T_1^n then T_2^n then ... then T_R^n. If there are no options on the swept polygon, then the `sweep' options are copied to each output polygon. If the swept polygon does have options, these are copied to the ends; the sweep options are copied to the body polygons. In this manner, body and ends may be drawn with different characteristics such as `fillcolor'.  File: sketch.info, Node: Swept blocks, Next: Sweep face splitting, Prev: Swept polygons, Up: Sweeps 3.2.6.4 Swept blocks .................... The swept object SWEPT_OBJECT may also be any collection of polylines and polygons. This may be a block composed of `line' and/or `polygon' commands in braces `{ }', or it may be the result of a `repeat', another `sweep', etc. The sweep acts independently on each object in the block exactly as if it were a single swept object described above in *Note Swept lines:: and *Note Swept polygons::.  File: sketch.info, Node: Sweep face splitting, Prev: Swept blocks, Up: Sweeps 3.2.6.5 Sweep face splitting ............................ Before sending each four-sided body polygon of a `sweep' to the output, `sketch' tests to see if it is roughly planar. Since planarity is necessary for proper functioning of the hidden surface algorithm, "warped" polygons are automatically split into two triangles. Hole-filling polygons produced by closure-tagged line sweeps are not split. Nor are original polygons in polygon sweeps. It is the user's responsibility to ensure these are planar.  File: sketch.info, Node: Blocks, Next: Repeats, Prev: Sweeps, Up: Drawables 3.2.7 Blocks ------------ Any sequence of drawables may be grouped in a "block" merely by enclosing them in braces `{ }'. A block is itself drawable. A key use of blocks is to extend the effect of a single `def', *Note Definitions::, `put' *Note Puts::, `sweep' *Note Sweeps::, or `repeat' *Note Repeats:: to include several objects rather than one. Definitions (*Note Definitions::.) inside a block have "lexical scope" extending from the place of definition to the end of the block.  File: sketch.info, Node: Repeats, Next: Puts, Prev: Blocks, Up: Drawables 3.2.8 Repeats ------------- *Syntax:* repeat { N, T_1, T_2, ..., T_R } REPEATED_OBJECT The repeat makes N transformed copies of REPEATED_OBJECT (including the original). The T_I are transforms. The k'th copy of the REPEATED_OBJECT (for k=0,1,...,n-1) is produced in the same manner as for `sweep's described in *Note Sweeps::. This is repeated here (no pun intended) for convenience. To make the k'th copy, the following transform is applied to the original object. T_1^k then T_2^k then ... then T_R^k Here T^k means "transform T applied k times."  File: sketch.info, Node: Puts, Prev: Repeats, Up: Drawables 3.2.9 Puts ---------- *Syntax:* put { T } PUT_OBJECT Put merely applies transform T to the drawable PUT_OBJECT.  File: sketch.info, Node: Definitions, Next: Global environment, Prev: Drawables, Up: Input language 3.3 Definitions =============== Definitions give names to `sketch' objects. Definitions alone are benign. A `sketch' input file consisting entirely of definitions will generate no drawing. Only when definitions are "referenced" do they potentially lead to ink on the drawing. The intent of definitions is to make `sketch' code more concise and readable. There is no input file employing definitions that could not be re-written without them. Definable objects include any result of an affine arithmetic expression (scalar, point, vector, or transform), any drawable object (dots, line, curve, polygon, block, sweep, put, repeat, or special), and option strings. In addition, "tag definitions", which have no associated object at all, allow the meaning of other definitions to be selected from a set of alternatives. Since tags may be defined (and undefined) in the command line of `sketch', they can be an aid in the script-driven preparation of documents. * Menu: * Forms of definitions:: Different defs for different purposes. * Forms of references:: How references denote types.  File: sketch.info, Node: Forms of definitions, Next: Forms of references, Prev: Definitions, Up: Definitions 3.3.1 Forms of definitions -------------------------- Definitions have three possible forms, "simple", "with alternatives", and "tag" as shown here in order. *Syntax:* def ID OBJECT % simple def def ID OBJECT_1 % def with alternatives OBJECT_2 ... <> DEFAULT_OBJECT def ID <> % tag def The simple definition merely associates OBJECT with the identifier ID. The definition with alternatives associates OBJECT_I with ID, where TAG_I is the first defined tag in the list of alternative tag references. If no tag in the list is defined, then DEFAULT_OBJECT is associated with identifier ID. The final form defines ID as a tag. Another way to define a tag is with the `-D' command line option. *Note Command line::.  File: sketch.info, Node: Forms of references, Prev: Forms of definitions, Up: Definitions 3.3.2 Forms of references ------------------------- References to defined names are enclosed in bracketing delimiters. The delimiter characters imply the type of the associated value as shown in the table below. A type error is raised if the type of a reference does not match the type of the defined value. The intent of this mechanism is, again, to make `sketch' input files more readable. Type Reference ------------------------------------------ scalar `ID' point `(ID)' vector `[ID]' transform `[[ID]]' drawable `{ID}' options `[ID]' or `[ID1,...,IDN]' tag `' Note that square brackets `[ ]' are used both for vector and for options references. Details of `sketch' syntax make it impossible for these two reference types to be confused. The special multiple reference `[ID1,ID2,...,IDN]' acts as if the respective lists of options were concatenated.  File: sketch.info, Node: Global environment, Prev: Definitions, Up: Input language 3.4 Global environment ====================== An optional global environment block provides a few ways to affect the entire scene. The block must appear as the last text in the `sketch' input file. It may include definitions, but note that previous definitions at the top level (not nested inside blocks) are also available. *Syntax:* global { ENVIRONMENT_SETTINGS } The contents of ENVIRONMENT_SETTINGS are discussed in the sections that follow. * Menu: * Global options:: Attributes of the entire drawing. * Camera:: A final camera transformation of the scene. * Picture box:: Setting the bounding box and 2d clipping. * Frame:: Adding a box around the drawing. * Language:: Setting the output language.  File: sketch.info, Node: Global options, Next: Camera, Prev: Global environment, Up: Global environment 3.4.1 Global options -------------------- *Syntax:* set [ OPTIONS ] The contents of OPTIONS, except for `sketch' internal options, are copied as-is to a \psset that appears before anything else in the output file. This is a good place to set `unit', a default `linewidth', etc. Internal options work on all objects where they make sense. This includes `cull' and `split' (but not `lay'). *Note Internal options::.  File: sketch.info, Node: Camera, Next: Picture box, Prev: Global options, Up: Global environment 3.4.2 Camera ------------ *Syntax:* camera TRANSFORM_EXPRESSION The TRANSFORM_EXPRESSION is applied after all other transformations of the scene. This is currently only useful for transforming the bounding box. *Note Picture box::. It will play a role in any future implementation of clipping.  File: sketch.info, Node: Picture box, Next: Frame, Prev: Camera, Up: Global environment 3.4.3 Picture box ----------------- *Syntax:* picturebox[BASELINE] picturebox[BASELINE] (P1)(P2) The first form of `picturebox' causes a scalar BASELINE fraction to be emitted in the `pspicture' environment of the output. See `PSTricks' documentation for `pspicture'. In the second form, the BASELINE fraction is optional, and the two points that follow define the diagonal of a three-dimensional bounding box for the completed scene. The parallel projection of the bounding box determines the corners of the drawing's `pspicture*' environment, which is used in place of `pspicture'. This causes PostScript to clip the final drawing to the bounding box in 2d. If there is a `camera' specified, the camera tranformation is applied to the bounding box, and the `pspicture' is set just large enough to include the transformed box. When no bounding box is given, `sketch' computes one automatically.  File: sketch.info, Node: Frame, Next: Language, Prev: Picture box, Up: Global environment 3.4.4 Frame ----------- *Syntax:* frame [OPTIONS] Causes a \psframebox to surround the `pspicture' environment in the output. If OPTIONS are present, they are copied as-is. Normally one would want to set `linewidth', `linestyle', `linecolor', etc. If omitted, then `framesep=0pt' is added so that the frame tightly hugs the `pspicture'.  File: sketch.info, Node: Language, Prev: Frame, Up: Global environment 3.4.5 Language -------------- language tikz language tikz, context language pstricks language pstricks, latex Sets the output language generated by `sketch'. The set of options understood by sketch also changes. For example, the `PSTricks' option `linewidth' will not be properly handled if `language' is set to `tikz'. Similarly, the `TikZ' option `line style' (note the space) will not be properly handled if `language' is set to `pstricks'. If no language is specified, the default `pstricks' is used. An optional comma followed by `latex' or `context' specifies the macro package that the output should assume. This affects the `picture' environment commands emitted and the document template used with the `-T' option. *Note Command line::. Note that at the time this manual was generated, `PSTricks' was not supported by LaTeX or by `ConTeXt'.  File: sketch.info, Node: Building a drawing, Next: Command line, Prev: Input language, Up: Top 4 Building a drawing ******************** Successful drawings with `sketch' and with any scene description language require that the user develop an accurate mental picture of her code and its meaning. This image is best built in small pieces. Therefore, `sketch' inputs are best created in small increments with frequent pauses to compile and view the results. Careful comments in the input often help as a scene grows in complexity. * Menu: * Overview:: Building a substantial drawing. * A technical drawing:: An example with fine placement. * A hierarchical model:: An example with sweeps and puts. * Caveats:: Where trouble can occur.  File: sketch.info, Node: Overview, Next: A technical drawing, Prev: Building a drawing, Up: Building a drawing 4.1 Overview ============ As an overview, let's develop a diagram that shows how a perspective projection transform works. We'll start with the traditional reference object used in computer graphics textbooks, a house-shaped prism. Begin by defining the points of the house. Rather than defining the faces of the house as polygons and transforming those, we are going to transform the points themselves with `sketch' arithmetic so that we have names for the transformed points later. % right side (outside to right) def R1 (1,1,1) def R2 (1,-1,1) def R3 (1,-1,-1) def R4 (1,1,-1) def R5 (1,1.5,0) % left side (outside to right--backward) def W [2,0,0] def L1 (R1)-[W] def L2 (R2)-[W] def L3 (R3)-[W] def L4 (R4)-[W] def L5 (R5)-[W] To add a door to the house, we use a polygon slightly in front of the foremost face of the house. % door def e .01 def D1 (0,-1,1+e) def D2 (.5,-1,1+e) def D3 (.5,0,1+e) def D4 (0,0,1+e) Now let's create a new set of points that are a to-be-determined transform of the originals. def hp scale(1) % house positioner def pR1 [[hp]]*(R1) def pR2 [[hp]]*(R2) def pR3 [[hp]]*(R3) def pR4 [[hp]]*(R4) def pR5 [[hp]]*(R5) def pL1 [[hp]]*(L1) def pL2 [[hp]]*(L2) def pL3 [[hp]]*(L3) def pL4 [[hp]]*(L4) def pL5 [[hp]]*(L5) def pD1 [[hp]]*(D1) def pD2 [[hp]]*(D2) def pD3 [[hp]]*(D3) def pD4 [[hp]]*(D4) Note the use of a "transform definition" and "transform references". Now define the seven polygonal faces of the house and the door using the transformed points as vertices. Be careful with vertex order! def rgt polygon (pR1)(pR2)(pR3)(pR4)(pR5) def lft polygon (pL5)(pL4)(pL3)(pL2)(pL1) def frt polygon (pR2)(pR1)(pL1)(pL2) def bck polygon (pR4)(pR3)(pL3)(pL4) def tfr polygon (pR1)(pR5)(pL5)(pL1) def tbk polygon (pR5)(pR4)(pL4)(pL5) def bot polygon (pR2)(pL2)(pL3)(pR3) def door polygon[fillcolor=brown] (pD1)(pD2)(pD3)(pD4) def house { {rgt}{lft}{frt}{bck}{tfr}{tbk}{bot}{door} } Time for a sanity check. Add the line {house} and this is what we get. [image src="ex130.png" text="Image ex130 omitted in text version of this document."] This is correct, but does not reveal very much. Common errors are misplaced vertices and polygons missing entirely due to incorrect vertex order. To rule these out, let's inspect all sides of the house. This is not hard. Merely replace the reference {house} with a `repeat'. *Note Repeats::. repeat { 13, rotate(30, [1,2,3]), translate([3,0,0]) } {house} [image src="ex140.png" text="[Image ex140 omitted in text version of this document.]"] Again things look correct. Note that the hidden surface algorithm handles intersecting polygons correctly where some copies of the house overlap. Let's lay out the geometry of perspective projection of the house onto a plane with rays passing through the origin. Begin by positioning the house twelve units back on the negative z-axis and adding a set of coordinate axes. To move the house we need only change the "house positioning" transform defined earlier. def hp rotate(-40, [0,1,0]) then translate([0,0,-12]) def axes { def sz 1 line [arrows=<->] (sz,0,0)(O)(0,sz,0) line [arrows=->] (O)(0,0,sz) line [linewidth=.2pt,linecolor=blue,linestyle=dashed] (O)(0,0,-10) special |\uput[r]#1{$x$}\uput[u]#2{$y$}\uput[l]#3{$z$}| (sz,0,0)(0,sz,0)(0,0,sz) } Time for another test. Let's build a real view transform, creating a "virtual camera" to look at the scene we are constructing. Replace the `repeat' with def eye (10,4,10) def look_at (0,0,-5) put { view((eye), (look_at)) } { {house}{axes} } The "view transform" repositions the scene so that the point `eye' is at the origin and the direction from `eye' to `look_at' is the negative z-axis. This requires a rotation and a translation that are all packed into the constructor `view'. [image src="ex150.png" text="Image ex150 omitted in text version of this document."] This is starting to look good! Add the projection plane half way between the origin and the house at z=-5. We'll try the angle argument feature of `special' to position a label. def p 5 % projection distance (plane at z=-p) def projection_plane { def sz 1.5 polygon (-sz,-sz,-p)(sz,-sz,-p)(sz,sz,-p)(-sz,sz,-p) special |\rput[b]#1-2#3{\footnotesize\sf projection plane}| (-sz,-sz,-p)(sz,-sz,-p)(0,-sz+.1,-p) } Add {projection_plane} to the list of objects in the `put' above. [image src="ex160.png" text="Image ex160 omitted in text version of this document."] The way we constructed the points of the house now makes it easy to draw rays of projection. We'll cast one ray from every visible vertex of the house and define options so the appearance of all rays can be changed at the same time. def projection_rays { def rayopt [linewidth=.3pt,linecolor=lightgray] line [rayopt](O)(pR1) line [rayopt](O)(pR2) line[rayopt](O)(pR3) line [rayopt](O)(pR4) line [rayopt](O)(pR5) line [rayopt](O)(pL1) line [rayopt](O)(pL2) line[rayopt](O)(pL5) line [rayopt](O)(pD1) line [rayopt](O)(pD2) line [rayopt](O)(pD3) line [rayopt](O)(pD4) } The result is shown here. [image src="ex170.png" text="Image ex170 omitted in text version of this document."] The rays pierce the projection plane at the corresponding points on the perspective image we are trying to draw. Albrecht Du"rer and his Renaissance contemporaries had the same idea in the early 1500's. [image src="duerer.png" text="Image of Duerer's perspective computer omitted in text version of this document."] All that's left is to find a way to connect the points of the house on the projection plane. We could pull out a good computer graphics text, find the necessary matrix, and enter it ourselves as a transform literal. *Note Transform literals::. That work is already done, however. We can use the `project(p)' constructor. There are still some details that require care. Projection will flatten whatever is transformed onto the plane z=-p. Therefore any part of the house could disappear behind the projection plane (the hidden surface algorithm orders objects at the same depth arbitrarily). The door may also disappear behind the front of the house. To make sure everything remains visible, we'll place the house a tiny bit in front of the projection plane and a second copy of the door in front of the house. def projection { % e is a small number defined above put { project(p) then translate([0,0,1*e]) } {house} put { project(p) then translate([0,0,2*e]) } {door} } [image src="ex180.png" text="Image ex180 omitted in text version of this document."] If you have studied and understand all this, you are well on the way to success with `sketch'. Not shown are the 20 or so iterations that were required to find a reasonable viewing angle and house position, etc. Nonetheless, this drawing was completed in about an hour. While a GUI tool may have been a little faster, it is unlikely that a new drawing, itself a perspective projection of the scene, could be generated with two more minutes' work! Just change the view transform to put { view((eye), (look_at)) then perspective(9) } { ... and produce this. [image src="ex190.png" text="Image ex190 omitted in text version of this document."]  File: sketch.info, Node: A technical drawing, Next: A hierarchical model, Prev: Overview, Up: Building a drawing 4.2 A technical drawing ======================= Let's look at a drawing that represents the kind of problem `sketch' was meant to solve--a pair of textbook figures regarding a polygonal approximation of a truncated cone. Here are the pictures we will produce. [image src="ex250.png" text="Image ex250 omitted in text version of this document."] [image src="ex260.png" text="[Image ex260 omitted in text version of this document.]"] The cone shape is just a swept line with no closure tag and culling turned off. Begin by setting up some useful constants. def O (0,0,0) def I [1,0,0] def J [0,1,0] def K [0,0,1] def p0 (1,2) def p1 (1.5,0) def N 8 def seg_rot rotate(360 / N, [J]) The points `p0' and `p1' are the end points of the line to be swept. The definition `seg_rot' is the sweep transformation. With these, the cone itself is simple. sweep[cull=false] { N, [[seg_rot]] } line(p0)(p1) The axes are next and include an interesing trick that shows the hidden parts as dotted lines. The secret is draw the axes twice--solid lines with the normal hidden surface algorithm in effect, and then dotted with the option `lay=over' so that no polygons can hide them. def ax (dx,0,0) % tips of the axes def ay (0,dy,0) def az (0,0,dz) line[arrows=<->,linewidth=.4pt](ax)(O)(ay) line[arrows=->,linewidth=.4pt](O)(az) % repeat dotted as an overlay to hint at the hidden lines line[lay=over,linestyle=dotted,linewidth=.4pt](ax)(O)(ay) line[lay=over,linestyle=dotted,linewidth=.4pt](O)(az) special|\footnotesize \uput[d]#1{$x$}\uput[u]#2{$y$}\uput[l]#3{$z$}| (ax)(ay)(az) The labels are applied with `PSTricks' special objects as usual. For the height dimension mark, the power of affine arithetic is very helpful. def hdim_ref unit((p1) - (O)) then [[seg_rot]]^2 def c0 (p0) then scale([J]) def h00 (c0) + 1.1 * [hdim_ref] def h01 (c0) + 1.9 * [hdim_ref] def h02 (c0) + 1.8 * [hdim_ref] line(h00)(h01) def h10 (O) + 1.6 * [hdim_ref] def h11 (O) + 1.9 * [hdim_ref] def h12 (O) + 1.8 * [hdim_ref] line(h10)(h11) line[arrows=<->](h02)(h12) def hm2 ((h02) - (O) + (h12) - (O)) / 2 + (O) special|\footnotesize\rput*#1{$h$}|(hm2) The general idea employed here is to compute a unit "reference vector" parallel to the xz-plane in the desired direction of the dimension from the origin. The transformation `[[seg_rot]]^2' rotates two segments about the y-axis. When applied to `(p1) - (O)', the resulting vector points to the right as shown. In this manner, we can pick any vertex as the location of the height dimension lines by varying the exponent of `[[seg_rot]]'. This is only one of many possible strategies. The computation of `hm2' is a useful idiom for finding the centroid of a set of points. The two radius marks are done similarly, so we present the code without comment. % radius measurement marks def gap [0,.2,0] % used to create small vertical gaps % first r1 def up1 [0,3.1,0] % tick rises above dimension a little def r1 ((p1) then [[seg_rot]]^-2) + [up1] def r1c (r1) then scale([J]) def r1t (r1) + [gap] def r1b ((r1t) then scale([1,0,1])) + [gap] line[arrows=<->](r1c)(r1) % dimension line line(r1b)(r1t) % tick def r1m ((r1) - (O) + (r1c) - (O)) / 2 + (O) % label position special |\footnotesize\rput*#1{$r_1$}|(r1m) % label % same drill for r0, but must project down first def up0 [0,2.7,0] def r0 ((p0) then scale([1,0,1]) then [[seg_rot]]^-2) + [up0] def r0c (r0) then scale([J]) def r0t (r0) + [gap] def r0b ((p0) then [[seg_rot]]^-2) + [gap] line[arrows=<->](r0c)(r0) line(r0b)(r0t) def r0m ((r0) - (O) + (r0c) - (O)) / 2 + (O) special |\footnotesize\rput*#1{$r_0$}|(r0m) The second drawing uses the same techniques. Only the method for drawing the elliptical arc is new. Here is the code. def mid ((p00)-(O)+(p10)-(O)+(p11)-(O)+(p01)-(O))/4+(O) special|\rput#1{\pscustom{ \scale{1 1.3} \psarc[arrowlength=.5]{->}{.25}{-60}{240}}}| [lay=over](mid) We could have swept a point to make the arc with `sketch', but using a `PSTricks' custom graphic was simpler. Again we computed the centroid of the quadrilateral by averaging points. Note that scaling in Postscript distorts the arrowhead, but in this case the distortion actually looks better in the projection of the slanted face. A `sketch' arrowhead would not have been distorted. The complete code for this example, which draws either figure depending on the definition of the tag `', is included in the `sketch' distribution in the file `truncatedcone.sk'.  File: sketch.info, Node: A hierarchical model, Next: Caveats, Prev: A technical drawing, Up: Building a drawing 4.3 A hierarchical model ======================== While `sketch' was never meant to be a geometric modeling language, it comes fairly close. The following example puts all we have seen to work in a very simple model of the human hand. Start by sweeping a line to make a truncated cone, which will be copied over and over again to make the segments of fingers. def O (0,0,0) % origin def I [1,0,0] def J [0,1,0] def K [0,0,1] % canonical unit vectors def segment { def n_faces 8 sweep { n_faces<>, rotate(360 / n_faces, [J]) } line(proximal_rad, 0)(distal_rad, distal_len) } In hand anatomy, _distal_ is "at the tip" and _proximal_ is "in the area of the palm." We have omitted all the scalar constants. You can find them in `hand.sk', which is provided in the `sketch' distribution. We also need a prototypical sphere to use for the joints themselves. def joint_sphere { def n_joint_faces 8 sweep [fillcolor=red] { n_joint_faces, rotate(360 / n_joint_faces, [J]) } sweep { n_joint_faces, rotate(180 / n_joint_faces) } (0, -joint_rad) } We'll now design the index finger (number 1 in our notational convention; finger 0 is the thumb). The distal rotation for the finger applies only to the tip, so we define the following. def distal_1 { put { translate(joint_gap * joint_rad * [J]) then rotate(distal_1_rot, [I]) then translate((distal_len + joint_gap * joint_rad) * [J]) } {segment} put { rotate(distal_1_rot / 2, [I]) then translate((distal_len + joint_gap * joint_rad) * [J]) } {joint_sphere} put { scale( [J] + proximal_distal_ratio * ([I]+[K]) ) } {segment} } The identifiers here are for size and location constants. The exception is `distal_rot_1'. This rotation parameter models the flexing of the finger tip. The first `put' makes a copy of the finger segment that is translated upward just far enough to make room for the spherical joint. Then it applies the distal rotation. Finally it translates the whole assembly upward again to make room for the middle phlanges (the next bone toward the palm). The second `put' positions the sphere. There is a rotation to place the grid on the sphere surface at an nice angle, then a translation to the base of the distal phlanges, which is also center of its rotation. Finally, the last `put' positions the middle segment itself. The middle joint is the next one down, with rotation angle `middle_rot_1'. When this angle changes, we need all the objects in `distal_1' to rotate as a unit. This is the reasoning behind the next definition. def finger_1 { put { translate(joint_gap * joint_rad * [J]) then rotate(middle_1_rot, [I]) then translate((middle_ratio * distal_len + joint_gap * joint_rad) * [J]) } {distal_1} put { scale(proximal_distal_ratio) then rotate(middle_1_rot / 2, [I]) then translate((middle_ratio * distal_len + joint_gap * joint_rad) * [J]) } {joint_sphere} put { scale( middle_ratio * [J] + proximal_distal_ratio^2 * ([I]+[K]) ) } {segment} } This looks very similar to the previous definition, and it is. The important difference is that rather than positioning and rotating a single segment, we position and rotate the entire "assembly" defined as `distal_1'. The rest is just arithmetic to compute sizes and positions that look nice. The last `put' places an appropriately shaped segment that is the _proximal phlanges_, the bone that joins the palm of the hand. This completes the finger itself. All the other fingers are described identically to this one. We account for the fact that real fingers are different sizes in the next step, which is to build the entire hand. The `hand' definition that follows includes a section for each finger. We'll continue with finger 1 and omit all the others. (Of note is that the thumb needs slightly special treatment--an extra rotation to account for its opposing angle. This is clear in the full source code.) Not surprisingly, the `hand' definition looks very much like the previous two. It should be no surprise that when the rotation parameter `meta_1_rot' changes, the entire finger rotates! There is an additional rotation that allows the fingers to spread laterally. We say these joints of the proximal phlanges have two _degrees of freedom_. The joints higher on the finger have only one. Finally, each finger is scaled by a factor to lend it proportion. def hand { % finger 1 [all other fingers omitted] def scale_1 .85 put { scale(scale_1) then translate((joint_gap * joint_rad) * [J]) then rotate(meta_1_rot, [I]) then rotate(-spread_rot, [K]) then translate((proximal_1_loc) - (O)) } {finger_1} put { scale(scale_1 * proximal_distal_ratio^2) then rotate(meta_1_rot / 2, [I]) then rotate(-spread_rot, [K]) then translate((proximal_1_loc) - (O)) } {joint_sphere} % palm sweep { 1, rotate(6, (0,15,0), [I]) } put { rotate(-3, (0,15,0), [I]) } { polygon(proximal_1_loc)(proximal_2_loc) (proximal_3_loc)(proximal_4_loc) (h5)(h6)(h6a)(h9)(h10) polygon(h6a)(h7)(h8)(h9) } } The last section of the definition creates the polytope for the palm of the hand by `sweep'ing a 10-sided polygon through a very short arc (9 degrees). This provides a wedge-shaped profile when viewed from the side. The thick end of the wedge is the wrist. Because the polygon is concave, it is split into into two convex shapes with nine and four vertices. We can now have fun positioning the hand by adjusting the various rotation angles. The complete source includes definitions with alternatives that include the following views and more. [image src="ex210.png" text="Image ex210 omitted in text version of this document."][image src="ex220.png" text="[Image ex220 omitted in text version of this document.]"][image src="ex230.png" text="[Image ex230 omitted in text version of this document.]"][image src="ex240.png" text="[Image ex240 omitted in text version of this document.]"]  File: sketch.info, Node: Caveats, Prev: A hierarchical model, Up: Building a drawing 4.4 Caveats =========== `Sketch' is a fairly powerful tool for drawing, but, just as with TeX, the power to create beautiful results comes along with the power to make mistakes. The following are some points where care is necessary and where the current version of `sketch' is limited or has known bugs. * Menu: * Limits on error detection:: What sketch doesn't do. * Clipping:: No clipping at present. * Hidden surface removal:: Imperfections to fix.  File: sketch.info, Node: Limits on error detection, Next: Clipping, Prev: Caveats, Up: Caveats 4.4.1 Limits on `sketch' error detection ---------------------------------------- `Sketch' catches many kinds of errors, but not all. For example, options that sketch does not recognize, even incorrect ones, are quietly copied to `PSTricks' commands in the output. It is also unfortunately easy to produce `sketch' inputs that lead to no picture at all (improper vertex ordering causes everything to be culled), to pictures that are too big or too small for `PSTricks' to draw (due to limits of TeX math), and pictures that look nothing like what was intended. A picture with one of these problems can be difficult to "debug." We offer the following suggestions. * Follow the suggested incremental development method described in *Note Overview::. * Always maintain one or two back-versions of a drawing so that it is easy to fall back to a known-good increment. * When using `perspective', ensure all finally transformed objects satisfy z<0 and, in fact, do not come very close to the origin at all. * Temporarily use `cull=false' to see where vertex ordering problems lie. * Use temporary changes of color of one or more objects to ensure that your understanding of the scene geometry is correct. * If `PSTricks' complains about something, inspect the output directly for clues.  File: sketch.info, Node: Clipping, Next: Hidden surface removal, Prev: Limits on error detection, Up: Caveats 4.4.2 Clipping -------------- The current version of `sketch' has no clipping operations. The entire scene is always drawn. This means that when a perspective transform is employed, it is the user's responsibility to make sure the entire scene remains in front of the viewer, the region z<0.  File: sketch.info, Node: Hidden surface removal, Prev: Clipping, Up: Caveats 4.4.3 Hidden surface removal and polygon splitting -------------------------------------------------- `Sketch' uses the "depth sort algorithm" for hidden surface removal. This is a very old technique due to Newell.(1) It is generally regarded as too slow for real time graphics, but it is ideal for our purpose where speed is not very important.(2) The depth sort algorithm merely sorts objects on a key of increasing z-coordinate, equivalent to decreasing depth. Objects are then drawn in the sorted sequence so that those at the rear of the scene are overwritten by those closer to the viewer. Since this is also how oil painters practice their art, depth sort is sometimes called "the painter's algorithm." In some cases it is impossible to strictly order polygons according to depth. Moreover, even if a correct depth ordering exists, the computation needed to find it may be too complex and slow. In these cases, `sketch' splits one or more polygons into pieces. The expectation is that the new, smaller polygons will be simpler to order. `Sketch' uses a BSP (binary space partition) to handle the splitting operation. * Menu: * Statistics:: Performance numbers on depth sort. * Bugs and anomalies:: Imperfections in this implementation. ---------- Footnotes ---------- (1) Newell, M.E., R.G. Newell, and T.L. Sancha, A solution to the hidden surface problem. Proceedings of the ACM annual conference - Volume 1, page 443-450, ACM Press, 1972. (2) We have run `sketch' on the famous Stanford Bunny, which consists of nearly 70,000 triangles. Run time was about 6 seconds. Most of this was spent writing the output file rather than in the hidden surface algorithm. LaTeX took much longer to process the resulting `PSTricks' code. The obvious conclusion is that the speed of the depth sort algorithm is not a worry.  File: sketch.info, Node: Statistics, Next: Bugs and anomalies, Prev: Hidden surface removal, Up: Hidden surface removal 4.4.3.1 Statistics .................. For the curious, `sketch' writes one line of depth sort statistics. Here is an example for a large collection of triangles. remark, node=34824 probe=581.9 swap=5 split=2 (in=4 out=6) ols=24851/0 It means that 34,824 objects were depth sorted after culling. For each, an average of 581.9 others had to be checked to ensure that the initial, approximate ordering was correct. Among all these checks, only 5 resulted in swaps to reorder the initial sort. In two cases, a correct ordering could not be determined, so binary space partitions were constructed for splitting. A total of 4 objects (triangles in this case) were inserted in the partitions, and 6 polygons were produced. Finally, 24,851 "last resort" polygon overlap checks were performed after simpler, faster checks failed to yield conclusive results. The final /0 is for line-polygon overlap checks. For comparison, the statistics for the last figure in *Note Overview:: follow. remark, node=27 probe=14.6 swap=36 split=15 (in=30 out=45) ols=0/69 Note that there was proportionally much more swapping and splitting activity in this highly connected scene.  File: sketch.info, Node: Bugs and anomalies, Prev: Statistics, Up: Hidden surface removal 4.4.3.2 Bugs and anomalies .......................... Polygon and line splitting can both cause anomalies in the output. `PSTricks' dash patterns, specified with `linestyle=dashed', can be disrupted by splitting. This occurs when the depth sort gives up too early and splits a line where it is not really necessary. A workaround is to use gray or finely dotted lines instead. If your drawing is small, you can also edit the `sketch' output by hand to merge the pieces of the offending line. Another anomaly is tiny (or in degenerate cases not-so-tiny) notches in the lines that border split polygons. These derive from the way each polygon is painted: first, all pixels within the boundary are "filled" with color (perhaps white), then the same boundary is "stroked" (a Postscript term) with a line. The result is that half the line lies inside the boundary and half outside, while the Painter's algorithm assumes the polygon lies entirely within its boundary. The notches are due to one polygon fill operation overwriting the already-drawn inside of the border of another polygon.(1) One workaround is to make border lines very thin. In fact `linewidth=0pt' is guaranteed to eliminate this problem, though this results in the thinnest line your output device can draw, which is usually too thin. You might get lucky by merely reordering things in the input file, which is likely to move the splits to different places. The only sure-fire solution is pretty terrible: custom fit `special' overlay lines (with `\psline') to cover the notches. Polygon splitting also breaks `PSTricks' hatch patterns. The only known workaround is to substitute a solid fill for the hatch. ---------- Footnotes ---------- (1) I know how to fix this problem, but I don't like my solution, and I'm interested in yours.  File: sketch.info, Node: Command line, Next: Installing sketch, Prev: Building a drawing, Up: Top 5 Command line ************** *Synopsis:* sketch [-h][-V x.y][-v][-b][-d][t doctmp][-T[u|e][p[P|T][L|C]]][-o output.tex] [-D TAG ...] input1.sk [-U TAG ...] input2.sk ... *Description* Processes the `sketch' input files in order to produce `PSTricks' output code suitable for inclusion in a TeX or LaTeX document. *Options:* `-h' Print a short catalog of options. `-V' Set the `PSTricks' version assumed for output purposes to `x.y', for example 1.19. Usually needed only if your `PSTricks' is old compared to your `sketch'. Use `-v' to see what `sketch' assumes by default. `-v' Print version information to standard output, including the version of `PSTricks' assumed for output (can be changed with `-V' above). `-b' Use a BSP (*Note Hidden surface removal::.) for _all_ hidden surface removal rather than the default, which is the depth sort algorithm with BSPs used only for cycle resolution. This may produce correct output in certain degenerate cases where the depth sort cannot, but it also leads to many gratuitous splits, hence more anomalies *Note Bugs and anomalies:: and big output files. `-d' Run `sketch''s parser in debugging mode. This is primarily for development. `-t' Use contents of file `doctmp' as a document template in which to enclose `PSTricks' output code. The code is inserted in place of the first instance of the escape string %%SKETCH_OUTPUT%%. `-T' Causes `PSTricks' output to be enclosed in default US document template text. Option `-Tu' is a synonym. Option `-Te' causes the Euro standard document template to be used. A `p' appended to any of these options causes the respective default `PSTricks' document template to be printed to standard output. An appended `P' is a synonym. An appended `T' causes the the `TikZ/PGF' template to be printed. An appended `L' prints the LaTeX version of the document template, a synonym for the default. A `C' prints the `ConTeXt' template. `-o' Use `output.tex' as the output file. The default is standard output. `-D' Define a tag for purposes of selecting definition alternatives. *Note Definitions::. The definition applies for all input files that follow unless the tag is undefined with `-U'. `inputi.sk' Input files, read in the sequence they are given. `-U' Un-define a tag for purposes of selecting definition alternatives.  File: sketch.info, Node: Installing sketch, Next: Index of syntax, Prev: Command line, Up: Top 6 Building and installing `sketch' ********************************** `Sketch' is so small that compiling by brute force is probably best. The following command ought to do the trick on any systems where `gcc' is installed. Make sure to first change current directories to the place where you have unpacked the sources. gcc *.c -o sketch.exe -lm The `.exe' at the end is necessary for Windows systems. Drop it if your system is some version of Unix. Other C compilers ought to work as just as well. For example, cl *.c -o sketch.exe is the correct command for many versions of MS Visual C. In the latest versions, Microsoft has deprecated the `-o' option and, by default, does not define the `__STDC__' macro. This causes problems with some versions of `flex', `bison', `lex', and `yacc', which are used to create the `sketch' scanner and parser. It's nearly always possible to find a set of options that compiles with no errors or warnings, and this means `sketch' is _very_ likely to work correctly. For example, the Visual C++ 2005 Express Edition compiler (available free of charge from the Microsoft web site), `flex' version 2.5.4, and `bison' version 2.1 build error-free with cl -DYY_NEVER_INTERACTIVE=1 -Za -Ox -Fesketch.exe *.c For purists, there is also a `makefile' compatible with GNU `make' and `gcc'. The command make will build the executable, including the rebuilding of the scanner and parser with `flex' and `bison' if you have changed `sketch.l' or `sketch.y' respectively. While not essential, building the manual is an excellent test of your `sketch' installation. To build this document in all its myriad forms (assuming you have the necessary conversion programs on your system), use make docs The possibilities are listed in this following table. Format Converter Pictures Description ----------------------------------------------------------------------------------------------------------- manual.info makeinfo `.txt' GNU Info. manual.dvi texi2dvi `.eps' TeX typeset output. manual.ps texi2dvi,dvips `.eps' Postscript. manual.pdf texi2dvi `.pdf' Adobe PDF. manual.html makeinfo `.png' A single web page. manual/index.html makeinfo `.png' Linked web pages, one per node. All the required tools are included in the standard `TeX Live' distribution except that an additional open source program `epstool' is needed to refine the Encapsulated Postscript bounding boxes of `sketch'-generated figures in the manual. This tool is available in binary form for Windows, and it builds easily with a simple `make' under linux or Cygwin installations that have development tools installed or under `Mac OS X' with `XCode' installed.  File: sketch.info, Node: Index of syntax, Next: Index, Prev: Installing sketch, Up: Top Index of syntax *************** [index] * Menu: * 'x, 'y, and 'z <1>: Affine arithmetic. (line 40) * 'x, 'y, and 'z: Two-operand (binary) forms. (line 40) * ( ), grouping: Two-operand (binary) forms. (line 60) * (foo), point reference <1>: Drawing a solid. (line 25) * (foo), point reference: Forms of references. (line 14) * *, multiplication operator: Two-operand (binary) forms. (line 70) * +, plus operator: Two-operand (binary) forms. (line 11) * -, minus operator: Two-operand (binary) forms. (line 15) * -, unary minus operator: Unary forms. (line 10) * ., dot operator: Two-operand (binary) forms. (line 63) * /, division operator: Two-operand (binary) forms. (line 38) * <>, closure tag <1>: Swept points. (line 13) * <>, closure tag <2>: Swept lines. (line 6) * <>, closure tag <3>: Point sweeps. (line 18) * <>, closure tag <4>: Swept lines. (line 28) * <>, closure tag <5>: Polyline sweeps with closure. (line 6) * <>, closure tag <6>: Sweep face splitting. (line 11) * <>, closure tag: Sweeps. (line 19) * , tag reference <1>: Forms of definitions. (line 21) * , tag reference: Forms of references. (line 19) * [[ ][ ][ ][ ]], transform literal: Transform literals. (line 52) * [[foo]], transform reference <1>: Forms of references. (line 16) * [[foo]], transform reference: Overview. (line 38) * [foo,...,bar], multiple options reference: Forms of references. (line 18) * [foo], options reference <1>: Polyline sweeps with closure. (line 25) * [foo], options reference: Forms of references. (line 18) * [foo], vector reference <1>: Forms of references. (line 15) * [foo], vector reference: Polyline sweeps. (line 22) * ^, exponentiation operator: Two-operand (binary) forms. (line 27) * acos: Unary forms. (line 18) * arrows <1>: A technical drawing. (line 29) * arrows <2>: Overview. (line 75) * arrows: Affine arithmetic. (line 11) * asin: Unary forms. (line 17) * atan2: Unary forms. (line 19) * camera: Camera. (line 6) * context: Language. (line 17) * cos: Unary forms. (line 16) * cull <1>: Transparency. (line 15) * cull <2>: Global options. (line 14) * cull <3>: Internal options. (line 7) * cull <4>: A technical drawing. (line 22) * cull <5>: Drawing a solid. (line 46) * cull: Polyline sweeps. (line 10) * curve: Curves. (line 6) * def <1>: Affine arithmetic. (line 11) * def <2>: A hierarchical model. (line 10) * def <3>: Drawing a solid. (line 9) * def <4>: Object transforms. (line 10) * def <5>: A technical drawing. (line 100) * def <6>: Polyline sweeps with closure. (line 10) * def <7>: Overview. (line 12) * def <8>: A hierarchical model. (line 34) * def <9>: Nested sweeps. (line 8) * def <10>: A technical drawing. (line 45) * def <11>: Polyline sweeps. (line 10) * def <12>: A technical drawing. (line 15) * def <13>: Overview. (line 40) * def <14>: A hierarchical model. (line 23) * def <15>: Drawing a solid. (line 23) * def <16>: A technical drawing. (line 29) * def: Point sweeps. (line 19) * dots: Dots. (line 6) * fill opacity: Transparency. (line 10) * fill style: TikZ/PGF user-defined styles. (line 29) * fillcolor <1>: Overview. (line 40) * fillcolor <2>: Polyline sweeps with closure. (line 10) * fillcolor: Object transforms. (line 10) * frame: Frame. (line 6) * framesep: Frame. (line 11) * global: Global environment. (line 12) * input: Language basics. (line 19) * inverse: Unary forms. (line 20) * language: Language. (line 6) * latex: Language. (line 17) * lay <1>: Special objects. (line 49) * lay <2>: TikZ/PGF user-defined styles. (line 42) * lay <3>: A technical drawing. (line 100) * lay <4>: Global options. (line 14) * lay <5>: A technical drawing. (line 29) * lay <6>: Internal options. (line 7) * lay <7>: A technical drawing. (line 29) * lay: Specials. (line 50) * line <1>: A technical drawing. (line 22) * line <2>: Swept blocks. (line 7) * line <3>: Object transforms. (line 10) * line <4>: Affine arithmetic. (line 11) * line <5>: A hierarchical model. (line 10) * line <6>: Polyline sweeps with closure. (line 10) * line <7>: A technical drawing. (line 45) * line <8>: Overview. (line 75) * line <9>: A technical drawing. (line 29) * line <10>: Drawing options. (line 7) * line <11>: Lines. (line 6) * line: A technical drawing. (line 72) * line style: TikZ/PGF user-defined styles. (line 29) * linecolor <1>: Overview. (line 75) * linecolor <2>: Object transforms. (line 10) * linecolor: Frame. (line 10) * linestyle <1>: Frame. (line 10) * linestyle <2>: Overview. (line 75) * linestyle <3>: A technical drawing. (line 29) * linestyle: Bugs and anomalies. (line 7) * linewidth <1>: Polyline sweeps. (line 10) * linewidth <2>: A technical drawing. (line 29) * linewidth <3>: Overview. (line 75) * linewidth: Frame. (line 10) * opacity: Transparency. (line 10) * perspective: Transform literals. (line 21) * picturebox: Picture box. (line 6) * point list: Internal options. (line 24) * polygon <1>: Swept blocks. (line 7) * polygon <2>: Object transforms. (line 10) * polygon <3>: Drawing a solid. (line 9) * polygon <4>: Polygons. (line 6) * polygon <5>: Hello world. (line 41) * polygon <6>: Affine arithmetic. (line 11) * polygon: Overview. (line 40) * project: Transform literals. (line 19) * pstricks: Language. (line 10) * put <1>: Puts. (line 6) * put <2>: Nested sweeps. (line 27) * put <3>: A hierarchical model. (line 34) * put: Object transforms. (line 10) * repeat <1>: Overview. (line 62) * repeat <2>: Polyline sweeps with closure. (line 10) * repeat <3>: Repeated objects. (line 9) * repeat <4>: Nested sweeps. (line 27) * repeat: Repeats. (line 6) * rotate <1>: Repeated objects. (line 9) * rotate <2>: Overview. (line 75) * rotate <3>: Nested sweeps. (line 8) * rotate <4>: A hierarchical model. (line 34) * rotate <5>: Polyline sweeps with closure. (line 10) * rotate <6>: Object transforms. (line 40) * rotate <7>: A technical drawing. (line 15) * rotate <8>: A hierarchical model. (line 23) * rotate <9>: Transform literals. (line 10) * rotate <10>: Swept objects. (line 9) * rotate <11>: Overview. (line 62) * rotate <12>: Polyline sweeps. (line 10) * rotate <13>: A hierarchical model. (line 10) * rotate <14>: Object transforms. (line 10) * rotate: Point sweeps. (line 19) * scale <1>: A hierarchical model. (line 34) * scale <2>: A technical drawing. (line 45) * scale: Transform literals. (line 16) * set: Global options. (line 6) * sin: Unary forms. (line 15) * special <1>: Overview. (line 75) * special <2>: Specials. (line 6) * special <3>: Special objects. (line 6) * special: A technical drawing. (line 72) * split <1>: Global options. (line 14) * split: Internal options. (line 7) * sqrt: Unary forms. (line 14) * sweep <1>: Nested sweeps. (line 8) * sweep <2>: Swept objects. (line 9) * sweep <3>: A technical drawing. (line 22) * sweep <4>: A hierarchical model. (line 23) * sweep <5>: Sweeps. (line 6) * sweep <6>: Polyline sweeps. (line 10) * sweep <7>: A hierarchical model. (line 10) * sweep <8>: Polyline sweeps with closure. (line 10) * sweep <9>: Point sweeps. (line 19) * sweep: Nested sweeps. (line 24) * then <1>: Object transforms. (line 10) * then <2>: Two-operand (binary) forms. (line 35) * then <3>: Polyline sweeps with closure. (line 10) * then: Two-operand (binary) forms. (line 65) * tikz: Language. (line 10) * translate <1>: Overview. (line 62) * translate <2>: Repeated objects. (line 9) * translate <3>: Object transforms. (line 49) * translate <4>: Transform literals. (line 15) * translate <5>: A hierarchical model. (line 34) * translate <6>: Overview. (line 75) * translate <7>: Polyline sweeps. (line 10) * translate <8>: Object transforms. (line 10) * translate: Polyline sweeps with closure. (line 10) * transpalpha: Transparency. (line 10) * unit <1>: Unary forms. (line 13) * unit: A technical drawing. (line 45) * view: Transform literals. (line 35) * { }, block drawable <1>: Overview. (line 40) * { }, block drawable <2>: Swept blocks. (line 7) * { }, block drawable <3>: Blocks. (line 6) * { }, block drawable <4>: Nested sweeps. (line 27) * { }, block drawable: Object transforms. (line 25) * {foo}, drawable reference <1>: Object transforms. (line 34) * {foo}, drawable reference <2>: Forms of references. (line 17) * {foo}, drawable reference: Overview. (line 51) * |X|, magnitude operator: Unary forms. (line 12)  File: sketch.info, Node: Index, Prev: Index of syntax, Up: Top Index of concepts ***************** [index] * Menu: * affine arithmetic <1>: A technical drawing. (line 44) * affine arithmetic: Affine arithmetic. (line 8) * alternatives, definition: Forms of definitions. (line 6) * argument, special <1>: Special objects. (line 26) * argument, special: Specials. (line 10) * associativity, operator: Two-operand (binary) forms. (line 60) * axis, rotation: Object transforms. (line 41) * back face: Drawing a solid. (line 36) * baseline fraction: Picture box. (line 10) * binary form: Two-operand (binary) forms. (line 6) * binary space partition <1>: Command line. (line 29) * binary space partition <2>: Hidden surface removal. (line 23) * binary space partition: Statistics. (line 14) * block <1>: Swept blocks. (line 7) * block <2>: Blocks. (line 6) * block: Object transforms. (line 25) * block sweep: Swept blocks. (line 6) * body polygon <1>: Swept polygons. (line 9) * body polygon <2>: Swept lines. (line 10) * body polygon: Internal options. (line 16) * bounding box: Picture box. (line 15) * BSP, binary space partition <1>: Command line. (line 29) * BSP, binary space partition: Hidden surface removal. (line 23) * camera: Camera. (line 6) * center of rotation <1>: Object transforms. (line 8) * center of rotation: Nested sweeps. (line 6) * centroid: A technical drawing. (line 108) * clipping <1>: Clipping. (line 6) * clipping: Picture box. (line 17) * closure tag, <> <1>: Swept lines. (line 28) * closure tag, <> <2>: Swept points. (line 6) * closure tag, <> <3>: Sweeps. (line 19) * closure tag, <> <4>: Polyline sweeps with closure. (line 6) * closure tag, <> <5>: Sweep face splitting. (line 11) * closure tag, <>: Point sweeps. (line 18) * command line option: Hello world. (line 32) * command line options: Command line. (line 14) * command line, sketch <1>: Hello world. (line 9) * command line, sketch: Command line. (line 6) * comments <1>: Drawing a solid. (line 29) * comments: Language basics. (line 18) * constructor: Transform literals. (line 6) * coordinate system, right-handed: Introduction by example. (line 12) * counter-clockwise polygon vertex order: Hello world. (line 41) * culling <1>: Swept lines. (line 16) * culling <2>: Drawing a solid. (line 36) * culling <3>: Hello world. (line 46) * culling: Drawing a solid. (line 42) * declarative language: Language basics. (line 8) * definition <1>: Drawing a solid. (line 23) * definition: Definitions. (line 6) * definition with alternatives: Forms of definitions. (line 6) * definition, drawable: Object transforms. (line 28) * definition, options: Polyline sweeps with closure. (line 24) * definition, point: Drawing a solid. (line 24) * definition, scalar: Swept objects. (line 15) * definition, simple: Forms of definitions. (line 6) * definition, tag <1>: Command line. (line 61) * definition, tag <2>: Forms of definitions. (line 7) * definition, tag: Definitions. (line 18) * definition, transform: Overview. (line 38) * definition, vector: Polyline sweeps. (line 21) * depth sort <1>: Hidden surface removal. (line 6) * depth sort <2>: Internal options. (line 12) * depth sort: Bugs and anomalies. (line 8) * direct transform: Transform literals. (line 42) * document template <1>: Command line. (line 41) * document template: Hello world. (line 34) * drawable <1>: Object transforms. (line 28) * drawable: Drawables. (line 6) * drawable definition: Object transforms. (line 28) * drawable reference: Forms of references. (line 17) * end polygon <1>: Swept lines. (line 38) * end polygon: Swept polygons. (line 15) * faces <1>: Drawing a solid. (line 7) * faces: Polyline sweeps. (line 7) * file, include: Language basics. (line 19) * file, input: Language basics. (line 6) * frame box: Frame. (line 6) * global options <1>: Drawing options. (line 20) * global options: Global options. (line 6) * helix <1>: Polyline sweeps. (line 17) * helix: Drawing a solid. (line 49) * hello world: Hello world. (line 7) * hidden surface algorithm <1>: A technical drawing. (line 28) * hidden surface algorithm <2>: Hello world. (line 21) * hidden surface algorithm <3>: Transform literals. (line 21) * hidden surface algorithm <4>: Special objects. (line 49) * hidden surface algorithm: Hidden surface removal. (line 6) * hierarchical model: A hierarchical model. (line 6) * identifiers: Identifiers. (line 7) * include file: Language basics. (line 19) * input file: Language basics. (line 6) * internal option: Special objects. (line 48) * internal options <1>: Global options. (line 13) * internal options: Internal options. (line 6) * keywords: Key and reserved words. (line 6) * labels: Special objects. (line 6) * language, declarative: Language basics. (line 8) * language, output: Language. (line 6) * language, scene description: Language basics. (line 8) * lexical scope <1>: Blocks. (line 13) * lexical scope: Object transforms. (line 27) * line sweep <1>: Swept lines. (line 6) * line sweep <2>: A technical drawing. (line 22) * line sweep: Polyline sweeps. (line 7) * literal, point: Point and vector literals. (line 6) * literal, scalar: Scalar literals. (line 6) * literal, transform: Transform literals. (line 6) * literal, vector: Point and vector literals. (line 6) * nesting, swept object: Nested sweeps. (line 24) * one-operand form: Unary forms. (line 6) * operator associativity: Two-operand (binary) forms. (line 60) * operator precedence: Two-operand (binary) forms. (line 46) * option: Drawing options. (line 6) * option, command line: Hello world. (line 32) * option, internal: Special objects. (line 48) * options: Options. (line 6) * options definition: Polyline sweeps with closure. (line 24) * options multiple reference: Forms of references. (line 18) * options reference: Forms of references. (line 18) * options, command line: Command line. (line 14) * options, global <1>: Drawing options. (line 20) * options, global: Global options. (line 6) * options, internal <1>: Internal options. (line 6) * options, internal: Global options. (line 13) * options, sweep <1>: Polygon sweeps. (line 9) * options, sweep <2>: Swept points. (line 21) * options, sweep <3>: Swept lines. (line 25) * options, sweep <4>: Polyline sweeps. (line 18) * options, sweep: Swept lines. (line 48) * options, swept object <1>: Polygon sweeps. (line 8) * options, swept object <2>: Swept lines. (line 26) * options, swept object <3>: Polyline sweeps with closure. (line 23) * options, swept object: Swept lines. (line 48) * order, polygon vertex <1>: Overview. (line 60) * order, polygon vertex <2>: Swept polygons. (line 19) * order, polygon vertex <3>: Hello world. (line 41) * order, polygon vertex: Swept lines. (line 14) * output language: Language. (line 6) * outside of a polygon: Hello world. (line 39) * parallel projection <1>: Picture box. (line 15) * parallel projection <2>: Transform literals. (line 18) * parallel projection: Hello world. (line 28) * parentheses: Two-operand (binary) forms. (line 60) * perspective projection <1>: Overview. (line 7) * perspective projection: Transform literals. (line 19) * picture box: Picture box. (line 6) * planarity of polygons <1>: Polygons. (line 10) * planarity of polygons: Sweep face splitting. (line 7) * point definition: Drawing a solid. (line 24) * point list: Swept points. (line 9) * point literal: Point and vector literals. (line 6) * point reference: Forms of references. (line 14) * point sweep <1>: Swept objects. (line 13) * point sweep: Swept points. (line 6) * polygon sweep <1>: Polygon sweeps. (line 6) * polygon sweep <2>: Swept polygons. (line 6) * polygon sweep: A hierarchical model. (line 127) * polygon vertex order <1>: Swept lines. (line 14) * polygon vertex order <2>: Swept polygons. (line 19) * polygon vertex order <3>: Overview. (line 60) * polygon vertex order <4>: Swept lines. (line 40) * polygon vertex order <5>: Hello world. (line 41) * polygon vertex order: Overview. (line 40) * polygon, body <1>: Swept polygons. (line 9) * polygon, body <2>: Swept lines. (line 10) * polygon, body: Internal options. (line 16) * polygon, end <1>: Swept polygons. (line 15) * polygon, end: Swept lines. (line 38) * polygon, outside of: Hello world. (line 39) * polygon, planar <1>: Polygons. (line 10) * polygon, planar: Sweep face splitting. (line 7) * precedence, operator: Two-operand (binary) forms. (line 46) * program, hello world: Hello world. (line 7) * projection, parallel <1>: Picture box. (line 15) * projection, parallel <2>: Hello world. (line 28) * projection, parallel: Transform literals. (line 18) * projection, perspective <1>: Overview. (line 7) * projection, perspective: Transform literals. (line 21) * pseudo-options: TikZ/PGF user-defined styles. (line 29) * psframebox: Frame. (line 8) * pspicture: Picture box. (line 10) * PSTricks: About sketch. (line 21) * quoting, special <1>: Special objects. (line 20) * quoting, special: Specials. (line 8) * reference, drawable <1>: Overview. (line 51) * reference, drawable <2>: Object transforms. (line 34) * reference, drawable <3>: Forms of references. (line 17) * reference, drawable: Overview. (line 62) * reference, multiple options: Forms of references. (line 18) * reference, options <1>: Forms of references. (line 18) * reference, options: Polyline sweeps with closure. (line 25) * reference, point <1>: Forms of references. (line 14) * reference, point: Drawing a solid. (line 25) * reference, scalar <1>: Swept objects. (line 15) * reference, scalar: Forms of references. (line 13) * reference, tag <1>: Forms of definitions. (line 21) * reference, tag: Forms of references. (line 19) * reference, transform <1>: Overview. (line 38) * reference, transform: Forms of references. (line 16) * reference, vector <1>: Polyline sweeps. (line 22) * reference, vector: Forms of references. (line 15) * repeated object: Repeats. (line 6) * reserved words: Key and reserved words. (line 11) * right hand rule: Object transforms. (line 42) * right-hand coordinate system: Introduction by example. (line 12) * rotation: Object transforms. (line 40) * rotation transform <1>: A hierarchical model. (line 97) * rotation transform <2>: Transform literals. (line 10) * rotation transform: A hierarchical model. (line 82) * rotation, center of <1>: Object transforms. (line 8) * rotation, center of: Nested sweeps. (line 6) * running sketch: Hello world. (line 9) * scalar definition: Swept objects. (line 15) * scalar literal: Scalar literals. (line 6) * scalar reference: Forms of references. (line 13) * scale transform: Transform literals. (line 16) * scene description language <1>: Building a drawing. (line 7) * scene description language: Language basics. (line 8) * scope, identifier <1>: Object transforms. (line 27) * scope, identifier: Blocks. (line 13) * simple definition: Forms of definitions. (line 6) * solid: Drawing a solid. (line 6) * special argument substitution <1>: Specials. (line 10) * special argument substitution: Special objects. (line 29) * special object: Special objects. (line 6) * special objects: A technical drawing. (line 42) * splitting, line and surface <1>: Hidden surface removal. (line 21) * splitting, line and surface: Hello world. (line 21) * substitution, special: Special objects. (line 29) * surface: Polyline sweeps. (line 7) * sweep: Swept objects. (line 7) * swept bock: Swept blocks. (line 6) * swept line <1>: Polyline sweeps. (line 7) * swept line <2>: Swept lines. (line 6) * swept line: A technical drawing. (line 22) * swept object <1>: Swept objects. (line 7) * swept object: Sweeps. (line 9) * swept point <1>: Swept points. (line 6) * swept point: Swept objects. (line 13) * swept polygon <1>: A hierarchical model. (line 127) * swept polygon: Polygon sweeps. (line 6) * tag definition <1>: Definitions. (line 18) * tag definition <2>: Command line. (line 61) * tag definition: Forms of definitions. (line 7) * tag reference <1>: Forms of definitions. (line 21) * tag reference: Forms of references. (line 19) * template, document <1>: Command line. (line 41) * template, document: Hello world. (line 34) * tetrahedron: Drawing a solid. (line 9) * tick operator (') <1>: Two-operand (binary) forms. (line 40) * tick operator ('): Affine arithmetic. (line 40) * TikZ/PGF: About sketch. (line 22) * toroid: Nested sweeps. (line 8) * transform <1>: Repeats. (line 9) * transform <2>: Overview. (line 7) * transform <3>: Sweeps. (line 11) * transform <4>: Two-operand (binary) forms. (line 28) * transform: Object transforms. (line 6) * transform definition: Overview. (line 38) * transform literal: Transform literals. (line 6) * transform reference <1>: Forms of references. (line 16) * transform reference: Overview. (line 38) * transform, direct: Transform literals. (line 52) * transform, rotation <1>: A hierarchical model. (line 61) * transform, rotation <2>: Transform literals. (line 10) * transform, rotation: A hierarchical model. (line 97) * transform, scale: Transform literals. (line 16) * transform, translation <1>: Object transforms. (line 49) * transform, translation <2>: Transform literals. (line 15) * transform, translation: A hierarchical model. (line 50) * transform, view: Transform literals. (line 35) * translation transform <1>: Transform literals. (line 15) * translation transform <2>: A hierarchical model. (line 50) * translation transform: Object transforms. (line 49) * transparency: Transparency. (line 6) * two-operand form: Two-operand (binary) forms. (line 6) * unary form: Unary forms. (line 6) * vector: Object transforms. (line 50) * vector definition: Polyline sweeps. (line 21) * vector literal: Point and vector literals. (line 6) * vector reference: Forms of references. (line 15) * view transform: Transform literals. (line 25) * virtual camera: Overview. (line 88) * white space <1>: Language basics. (line 16) * white space <2>: Drawing a solid. (line 30) * white space: Object transforms. (line 33)  Tag Table: Node: Top1147 Node: About sketch7113 Node: Reporting bugs8330 Node: Contributions9360 Ref: Solid coil example9778 Node: Introduction by example9778 Node: Hello world10802 Ref: Hello world-Footnote-112953 Node: Drawing options13008 Node: Drawing a solid14144 Ref: Helix with cull set false then true16474 Node: Special objects16998 Node: Object transforms20044 Ref: Right hand rule22277 Node: Repeated objects22724 Node: Swept objects23287 Node: Point sweeps24397 Node: Polyline sweeps25400 Node: Nested sweeps26336 Node: Polygon sweeps27642 Node: Polyline sweeps with closure28095 Node: Affine arithmetic29770 Node: More to learn31688 Node: Input language32078 Node: Language basics32539 Node: Identifiers33927 Node: Key and reserved words34514 Node: Literals35259 Node: Scalar literals35729 Node: Point and vector literals36113 Node: Transform literals36493 Node: Arithmetic41062 Node: Two-operand (binary) forms41426 Node: Unary forms45161 Node: Options46419 Node: PSTricks options47120 Node: TikZ/PGF options48142 Node: Dots in TikZ/PGF49670 Node: TikZ/PGF user-defined styles50252 Ref: TikZ/PGF user-defined styles-Footnote-152273 Node: Transparency52329 Node: Internal options53139 Node: Drawables54843 Node: Dots55822 Node: Lines56057 Node: Curves56291 Node: Polygons56591 Node: Specials57019 Node: Sweeps59311 Node: Swept points60595 Node: Swept lines61674 Node: Swept polygons64257 Node: Swept blocks65809 Node: Sweep face splitting66357 Node: Blocks66955 Node: Repeats67531 Node: Puts68183 Node: Definitions68371 Node: Forms of definitions69592 Node: Forms of references70505 Node: Global environment71510 Node: Global options72412 Node: Camera72954 Node: Picture box73366 Node: Frame74385 Node: Language74833 Node: Building a drawing75792 Node: Overview76593 Node: A technical drawing84079 Node: A hierarchical model88849 Node: Caveats95246 Node: Limits on error detection95821 Node: Clipping97267 Node: Hidden surface removal97680 Ref: Hidden surface removal-Footnote-199085 Ref: Hidden surface removal-Footnote-299263 Node: Statistics99641 Node: Bugs and anomalies100938 Ref: Bugs and anomalies-Footnote-1102760 Node: Command line102859 Node: Installing sketch105480 Node: Index of syntax108439 Node: Index125239  End Tag Table sketch-0.3.7/Doc/sketch.pdf0100644000076400010400000335061411722043476020271 0ustar freddieresslerAdministrators%PDF-1.4 %ÐÔÅØ 1 0 obj << /Length 587 /Filter /FlateDecode >> stream xÚmTM¢@½ó+z&ÎÁ±?tBL$ñ°ãd4›½*´.‰<øï·_•èÌf’W¯_wÕ«îrðãc;Šòê`GæUŠOÛV×&³£øç¾öƒ¤Ê®[vïÖæ6ïWÛ7ñÑTÙÖvb¯“uYt/N¼.³ó5·½êÿ¢¥=åS‚> stream xÚmTM¢@½ó+z&ÎÁ±?tBL0ñ°ãd4›½*´.‰<Ì¿ß~U¢Îf’W¯_u½ªîvðãc;ZäÕÁŽÌ«Ÿ¶­®MfGñÏ}í I•]/¶ìÞ­ÍmÞ¯¶o⣩²­íÄ0^'ë²è^œx]fçkn{ÕÿEK{*ʇuÄpg6;µÞ$4»¢;»µgZ8, ’ü²M[Tå›P¯RJG¤eWxm½ñ­ž÷ŽE™7·¢â žÒ"/²îÑ7»¸¦‘¼ýj;{Y—ÇÊ‹"1þt‹m×|‘£o¼irÛåI É‘c¶×º>[TÒ›ÏEnn#×ÛûþbÅø¹‘ûÒBS¬ØEV嶭÷™möåÉz‘”s…«¹gËüŸµ)gŽÏR©ð133wÄ xAÄbêí;¬ÒaGL6K& 0+‡}&ö"?‘á°(Ò¦Òa/ ¡cì,•!£½¥‰î-fö3¤Ù*IÃx {aªùð”sIC%ÒðhSô¢¨7å£Å}­HÏ=ŤIYƒ¹(îƒêjŧ ÿZóéàü4{ÖØSOØá5˜‡áZ ä®ekxvKº·Ǭü÷…Ü@2aÂ> stream 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00000 n 0000876131 00000 n 0000876321 00000 n 0000876544 00000 n 0000876752 00000 n 0000876974 00000 n 0000877184 00000 n 0000877423 00000 n 0000877572 00000 n 0000877677 00000 n 0000877792 00000 n 0000877924 00000 n 0000878020 00000 n 0000878117 00000 n 0000878157 00000 n 0000878270 00000 n trailer << /Size 1347 /Root 1345 0 R /Info 1346 0 R /ID [<1F8417FDB044FFBEB2B4FCCCFD04625B> <1F8417FDB044FFBEB2B4FCCCFD04625B>] >> startxref 878506 %%EOF sketch-0.3.7/Doc/sketch.texi0100644000076400010400000037247711722043476020501 0ustar freddieresslerAdministrators\input texinfo @c -*-texinfo-*- @c %**start of header @setfilename sketch.info @include version.texi @settitle Sketch @c an index for sketch commands @defcodeindex sx @defcodeindex op @syncodeindex op sx @c %**end of header @copying Copyright @copyright{} 2005 to 2012 Eugene K. Ressler. This manual is for @code{sketch}, version @value{VERSION}, @value{UPDATED}, a program that converts descriptions of simple three-dimensional scenes into line drawings. This version generates @code{PSTricks} or @code{PGF/TikZ} code suitable for use with the @TeX{} document processing system. @code{Sketch} 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, or (at your option) any later version. Sketch 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 @code{sketch}; see the file COPYING.txt. If not, see @verb{|http://www.gnu.org/copyleft|}. @end copying @dircategory TeX @direntry * Sketch: (sketch). Simple 3D sketching for TeX @end direntry @titlepage @title Sketch @subtitle Simple 3D sketching @subtitle Version @value{VERSION}, @value{UPDATED} @author Gene Ressler @page @vskip 0pt plus 1fill @insertcopying @end titlepage @c TOC @contents @ifnottex @node Top, About sketch, (dir), (dir) @top Sketch @insertcopying @end ifnottex @menu * About sketch:: Why sketch exists and what it does. * Introduction by example:: Most features shown as working code. * Input language:: Syntax and semantics of @code{sketch} commands. * Building a drawing:: How to use @code{sketch} productively. * Command line:: Options and their usage. * Installing sketch:: Building and installing from sources. * Index of syntax:: * Index:: @detailmenu --- The Detailed Node Listing --- About sketch * Reporting bugs:: Let use know what's wrong! * Contributions:: How you can help@dots{}. Introduction by example * Hello world:: Simplest possible @code{sketch} program. * Drawing options:: Controlling object appearance. * Drawing a solid:: Drawing an object with 3d appearance. * Special objects:: Laying @TeX{} over, in, or under drawings. * Object transforms:: Rotate, translate, scale, and others. * Repeated objects:: Making transformed copies. * Swept objects:: Sweeping objects in space to make new shapes. Swept objects * Point sweeps:: Swept points make lines and polygons. * Polyline sweeps:: Swept lines make surfaces. * Nested sweeps:: Swept sweeps are useful! * Polygon sweeps:: Swept polygons make solids... * Polyline sweeps with closure:: and so do closed polyline sweeps. * Affine arithmetic:: Sketch useful math expression. * More to learn:: Check out the Mobius strip! Input language * Language basics:: Case, space, comments, include files. * Drawables:: Things that can be drawn. * Definitions:: Giving things names. * Global environment:: Affect the entire drawing. Basics * Identifiers:: Names for things. * Key and reserved words:: Names you shouldn't use. * Literals:: Constants and constructors. * Arithmetic:: Rules for expressions. * Options:: Modifying object appearance. Literals * Scalar literals:: Just the numbers. * Point and vector literals:: 3d quantities. * Transform literals:: Matrix form. Arithmetic expressions * Two-operand (binary) forms:: A op B * Unary forms:: op A (and others) Options * PSTricks options:: Options inherited from @code{PSTricks}. * TikZ/PGF options:: Options inherited from @code{TikZ/PGF}. * Dots in TikZ/PGF:: Sketch uses @code{TikZ/PGF} circles for dots. * TikZ/PGF user-defined styles:: Support for @code{TikZ/PGF} named, user-defined styles. * Transparency:: See-through polygons. * Internal options:: Options used by @code{sketch}. Point lists * Drawables:: Things that are drawn. * Definitions:: Things with names. Drawables * Dots:: Draw dots. * Lines:: Draw polylines. * Curves:: Draw curves. * Polygons:: Draw polygons. * Specials:: Embed raw @LaTeX{} and @code{PSTricks}. * Sweeps:: Draw sweeps of dots and polylines. * Blocks:: Group other drawables. * Repeats:: Draw transformed copies of objects. * Puts:: Draw one object transformed. Sweeps * Swept points:: Swept points make lines or polygons. * Swept lines:: Swept lines make open or closed surfaces. * Swept polygons:: Swept polygons make closed surfaces. * Swept blocks:: Swept block @equiv{} block of sweeps. * Sweep face splitting:: Fixing warped faces with triangles. Definitions * Forms of definitions:: Different defs for different purposes. * Forms of references:: How references denote types. Global environment * Global options:: Attributes of the entire drawing. * Camera:: A final camera transformation of the scene. * Picture box:: Setting the bounding box and 2d clipping. * Frame:: Adding a box around the drawing. * Language:: Setting the output language. Building a drawing * Overview:: Building a substantial drawing. * A technical drawing:: An example with fine placement. * A hierarchical model:: An example with sweeps and puts. * Caveats:: Where trouble can occur. Caveats * Limits on error detection:: What sketch doesn't do. * Clipping:: No clipping at present. * Hidden surface removal:: Imperfections to fix. Hidden surface removal and polygon splitting * Statistics:: Performance numbers on depth sort. * Bugs and anomalies:: Imperfections in this implementation. @end detailmenu @end menu @node About sketch, Introduction by example, Top, Top @comment node-name, next, previous, up @chapter About sketch @menu * Reporting bugs:: Let use know what's wrong! * Contributions:: How you can help@dots{}. @end menu @code{Sketch} is a small, simple system for producing line drawings of two- or three-dimensional objects and scenes. It began as a way to make illustrations for a textbook after we could find no suitable tool for this purpose. Existing scene processors emphasized GUIs and/or photo-realism, both un-useful to us. We wanted to produce finely wrought, mathematically-based illustrations with no extraneous detail. @code{Sketch} accepts a tiny scene description language and generates @code{PSTricks} or @code{TikZ/PGF} code for @LaTeX{}. The @code{sketch} language is similar to @code{PSTricks}, making it easy to learn for current @code{PSTricks} users. See @cindex PSTricks @verb{|www.pstricks.de|} for information on @code{PSTricks}. @code{TikZ/PGF} is similar. See @cindex TikZ/PGF @verb{|http://sourceforge.net/projects/pgf|}. One can easily include arbitrary @code{PSTricks} or @code{TikZ/PGF} drawings and text over, in, or under @code{sketch} drawings, providing access to the full power of @LaTeX{} text and mathematics formatting in a three-dimensional setting. @node Reporting bugs, Contributions, About sketch, About sketch @comment node-name, next, previous, up @section Reporting bugs and recommending improvements. The group @verb{|http://groups.google.com/group/sketch-users|} is the best place to report bugs and make improvements. A second method that will probably produce a slower response is email to @verb{|sketch@frontiernet.net|}. We will try to respond, but can't promise. In any event, don't be offended if a reply is not forthcoming. We're just busy and will get to your suggestion eventually. For bugs, attach a @code{sketch} input file that causes the bad behavior. Embed comments that explain what to look for in the behavior of @code{sketch} or its output. A recommendation for improvement from one unknown person counts as one vote. We use overall vote tallies to decide what to do next as resources permit. We reserve the right to assign any number of votes to suggestions from people who have been helpful and supportive in the past. @node Contributions, , Reporting bugs, About sketch @comment node-name, next, previous, up @section Contributions If you intend to implement an enhancement of your own, that's terrific! Consider collaborating with us first to see if we're already working on your idea or if we can use your work in the official release. @center @image{ex000} @anchor{Solid coil example} @node Introduction by example, Input language, About sketch, Top @comment node-name, next, previous, up @chapter Introduction by example The @code{sketch} input language will seem familiar to users of the @code{PSTricks} package for @LaTeX{}. The following program draws a triangular polygon pierced by a line. @verbatim polygon(0,0,1)(1,0,0)(0,1,0) line(-1,-1,-1)(2,2,2) @end verbatim @noindent The coordinate system @cindex coordinate system, right-handed @cindex right-hand coordinate system is a standard right-handed Cartesian one. @center @image{ex010} @menu * Hello world:: Simplest possible @code{sketch} program. * Drawing options:: Controlling object appearance. * Drawing a solid:: Drawing an object with 3d appearance. * Special objects:: Laying @TeX{} over, in, or under drawings. * Object transforms:: Rotate, translate, scale, and others. * Repeated objects:: Making transformed copies. * Swept objects:: Sweeping objects in space to make new shapes. @end menu @node Hello world, Drawing options, Introduction by example, Introduction by example @comment node-name, next, previous, up @section Hello world The @code{sketch} program above is nearly the simplest one possible, the equivalent of a ``hello world'' @cindex hello world @cindex program, hello world program you might find at the start of a programming language text. If it is saved in the file @file{simple.sk}, then the command @cindex command line, @code{sketch} @cindex running @code{sketch} @verbatim sketch simple.sk -o simple.tex @end verbatim @noindent creates a file @file{simple.tex} containing @code{PSTricks} commands to draw these objects on paper. The contents of @file{simple.tex} look like this. @verbatim \begin{pspicture}(-1,-1)(2,2) \pstVerb{1 setlinejoin} \psline(-1,-1)(.333,.333) \pspolygon[fillstyle=solid,fillcolor=white](0,0)(1,0)(0,1) \psline(.333,.333)(2,2) \end{pspicture} @end verbatim @noindent The hidden surface algorithm @cindex hidden surface algorithm of @code{sketch} has split @cindex splitting, line and surface the line into two pieces and ordered the three resulting objects so that the correct portion of the line is hidden. If you've noticed that the projection we are using seems equivalent to erasing the @math{z}-coordinate of the three-dimensional input points, pat yourself on the back. You are correct. This is called a @dfn{parallel projection}. @cindex parallel projection @cindex projection, parallel The @math{z}-coordinate axis is pointing straight out of the paper at us, while the @math{x}- and @math{y}-axes point to the right and up as usual. The resulting picture file can be included in a @LaTeX{} document with @verb{|\input{simple}|}. Alternately, adding the command line option @option{-T}@footnote{Or for European users of A4 size paper, @option{-Te}.} @cindex command line option @cindex option, command line causes the @code{pspicture} to be wrapped in a short but complete document, ready to run though @LaTeX{}. @cindex document template @cindex template, document In a finished, typeset document, the picture looks like this. (The axes have been added in light gray.) @center @image{ex020} @noindent It is important to know that only the ``outside'' @cindex outside of a polygon @cindex polygon, outside of of a polygon is normally drawn. The @dfn{outside} is where the vertices given in the @code{polygon} @sxindex polygon command appear in @emph{counter-clockwise} @cindex counter-clockwise polygon vertex order @cindex polygon vertex order @cindex order, polygon vertex order. Thus, if the command above had been @verbatim polygon(0,1,0)(1,0,0)(0,0,1) @end verbatim @noindent the polygon would not appear in the picture at all. It would have been @dfn{culled} @cindex culling from the scene. This culling behavior may seem strange, but stay tuned. @node Drawing options, Drawing a solid, Hello world, Introduction by example @comment node-name, next, previous, up @section Options Many @code{PSTricks} and @code{TikZ/PGF} options @cindex option work just fine in @code{sketch}. If generating @code{PSTricks}, the code @sxindex line @verbatim polygon[fillcolor=lightgray,linewidth=3pt](0,0,1)(1,0,0)(0,1,0) line[linestyle=dotted](-1,-1,-1)(2,2,2) @end verbatim @noindent produces @center @image{ex030} To produce @code{TikZ/PGF}, the corresponding code is @verbatim polygon[fill=lightgray,line width=3pt](0,0,1)(1,0,0)(0,1,0) line[style=dotted](-1,-1,-1)(2,2,2) global { language tikz } @end verbatim @noindent The final @code{global} @cindex options, global @cindex global options instructs @code{sketch} to produce @code{TikZ/PGF} code as output rather than the default, @code{PSTricks}. Note that @code{polygon} fill color and @code{line} style options both conform to @code{TikZ} syntax rules. The resulting @code{TikZ/PGF} output is @verbatim \begin{tikzpicture}[join=round] \draw[dotted](-1,-1)--(.333,.333); \filldraw[fill=lightgray,line width=3pt](0,0)--(1,0)--(0,1)--cycle; \draw[dotted](.333,.333)--(2,2); \end{tikzpicture} @end verbatim @noindent The remaining examples of this manual are in PSTricks style. @node Drawing a solid, Special objects, Drawing options, Introduction by example @comment node-name, next, previous, up @section Drawing a solid Let's try something more exciting. @code{Sketch} has no notion of a solid, @cindex solid but polygonal @dfn{faces} @cindex faces can be used to represent the boundary of a solid. To the previous example, let's add three more triangular polygons to make the faces of an irregular tetrahedron. @cindex tetrahedron @sxindex def @sxindex polygon @verbatim % vertices of the tetrahedron def p1 (0,0,1) def p2 (1,0,0) def p3 (0,1,0) def p4 (-.3,-.5,-.8) % faces of the tetrahedron. polygon(p1)(p2)(p3) % original front polygon polygon(p1)(p4)(p2) % bottom polygon(p1)(p3)(p4) % left polygon(p3)(p2)(p4) % rear % line to pierce the tetrahedron line[linecolor=red](-1,-1,-1)(2,2,2) @end verbatim @noindent This example uses @dfn{definitions}, @cindex definition which begin with @code{def}. @sxindex def These @dfn{define} or give names to points, @cindex definition, point @cindex point definition which are then available as @dfn{references} @cindex reference, point by enclosing the names in parentheses, e.g.@ @verb{|(foo)|}. @sxindex (foo)@r{, point reference} The parentheses denote that the names refer to points; they are required. There can be no @cindex white space white space between them and the name. As you can see, comments @cindex comments start with @verb{|%|} as in @TeX{} and extend to the end of the line (though @verb{|#|} will work as well). White space, @cindex white space including spaces, tabs and blank lines, has no effect in the @code{sketch} language. @center @image{ex040} @noindent If we look inside the @TeX{} file produced by @code{sketch}, there will be only three polygons. The fourth has been @cindex culling culled because it is a ``back face'' @cindex back face of the tetrahedron, invisible to our view. It is unnecessary, and so it is removed. In some drawings, polygons act as zero-thickness solid surfaces with both sides visible rather than as the faces of solid objects, where back faces can be culled. For zero-thickness solids, culling @cindex culling is a problem. One solution is to use a pair of @code{sketch} polygons for each zero-thickness face, identical except with opposite vertex orders. This is unwieldy and expensive. A better way is to set the @code{sketch} internal option @code{cull} to @code{false} in the usual @code{PSTricks} manner. @opindex cull @verbatim polygon[cull=false](p1)(p2)(p3) @end verbatim @noindent The following shows the same helix @cindex helix shape drawn first with @verb{|cull=true|} (the default) and then @verb{|cull=false|}. @center @image{ex045} @anchor{Helix with cull set false then true} @noindent We'll soon see how to produce these helixes with a few lines of @code{sketch} language code. It may be tempting to turn culling off gratuitously so that vertex order can be ignored. This is not a good idea because output file size and @TeX{} and Postscript processing time both depend on the number of output polygons. Culling usually improves performance by a factor of two. On the other hand, globally setting @code{cull=false} is reasonable while debugging. See @ref{Global options} and @ref{Limits on error detection}. @node Special objects, Object transforms, Drawing a solid, Introduction by example @comment node-name, next, previous, up @section Special objects We can add labels @cindex labels to a drawing by using @verb{|special|} @sxindex special @cindex special object objects, which provide a way to embed raw @LaTeX{} and @code{PSTricks} code. Adding this to the tetrahedron does the trick. @verbatim special |\footnotesize \uput{2pt}[ur]#1{$P1$} \uput[r]#2{$P2$} \uput[u]#3{$P3$} \uput[d]#4{$P4$}| (p1)(p2)(p3)(p4) @end verbatim @noindent Here is the result. @center @image{ex042} There are several details to note here. First, the quoting convention @cindex quoting, special for the raw code is similar to the @LaTeX{} @verb{|\verb|} command. The first non-white space character following @verb{|special|} is understood to be the quote character, in this case @samp{|}. The raw text continues until this character recurs. Second, the argument references @cindex argument, special @verb{|#1|}, @verb{|#2|}, @verb{|#3|}, and @verb{|#4|} refer to point, vector, or scalar values in the list that follow. This is similar to @TeX{} macro syntax. The transformed and two-dimensional projections of these three-dimensional points are substituted @cindex substitution, special @cindex special argument substitution in the final output. An argument reference of the form @verb{|#1-2|} is replaced with the angle in degrees of the two-dimensional vector that connects the projections of the two respective argument points, here @verb{|#1|} and @verb{|#2|}. The substituted angle is enclosed in curly braces @code{@{ @}}. When @code{TikZ/PGF} output is being generated, the angle is rounded to the nearest degree because non-integer angles are not allowed by @code{TikZ/PGF} primitives. As of Version 0.3 of @code{sketch}, special arguments may be scalars or vectors in addition to points. References to scalar arguments are merely replaced with a number formatted just as any point coordinate. References to vectors become two-dimensional points. The tick operator that selects individual components of points and vectors elsewhere in @code{sketch} (see for example @ref{Affine arithmetic}) can also be applied to point and vector argument references. All three dimensions of a transformed point or vector can also be substitued with @code{'3}. See @ref{Specials} for details. By default, @code{special} objects are printed last, overlaying all other objects in the scene. If you specify the internal option @cindex internal option @cindex option, internal @code{lay=in}, the hidden surface algorithm @opindex lay @cindex hidden surface algorithm considers the entire special object to be the first point (@verb{|#1|}) in the argument list. If that point is behind (of smaller @math{z}-component than) any drawable, then the entire special object is drawn before that drawable, so the drawable obscures parts of the special object that overlaps it. In our example, @verb{|p1|} is the front-most point in the scene (has the largest @math{z}-component), so adding @code{lay=in} has no effect. With option @code{lay=under}, a special is drawn @emph{before}, hence appears @emph{under} any of the objects handled by the hidden surface algorithm. This is how the light gray axes were added to the ``hello world'' example @ref{Hello world}. @verb{|Special|} objects are powerful, with many possible uses. @node Object transforms, Repeated objects, Special objects, Introduction by example @comment node-name, next, previous, up @section Transforms @cindex transform Now let's add a second copy of the pierced tetrahedron. We'll rotate the copy 90 degrees about the @math{x}-axis with the origin as @dfn{center of rotation} @cindex center of rotation @cindex rotation, center of so we can see the back, then translate it to the right---in the positive @math{x}-direction---so it doesn't collide with the original. To help us see what's going on, make the back side gray. @sxindex def @sxindex put @sxindex line @sxindex polygon @opindex linecolor @opindex fillcolor @sxindex rotate @sxindex translate @sxindex then @verbatim def pierced_tetrahedron { def p1 (0,0,1) def p2 (1,0,0) def p3 (0,1,0) def p4 (-.3,-.5,-.8) polygon(p1)(p2)(p3) % original polygon(p1)(p4)(p2) % bottom polygon(p1)(p3)(p4) % left polygon[fillcolor=lightgray](p3)(p2)(p4) % rear line[linecolor=red](-1,-1,-1)(2,2,2) } {pierced_tetrahedron} % tetrahedron in original position put { rotate(90, (0,0,0), [1,0,0]) % copy in new position then translate([2.5,0,0]) } {pierced_tetrahedron} @end verbatim @noindent Here the entire code of the previous example has been wrapped in a definition by forming a @dfn{block} @cindex block @sxindex @{ @}@r{, block drawable} with braces (a single item would not need them). The point definitions nested inside the braces are @dfn{lexically scoped}. @cindex lexical scope @cindex scope, identifier Their meaning extends only to the end of the block. The outer @verb{|def|} is called a @dfn{drawable} @cindex drawable definition @cindex definition, drawable @cindex drawable definition because it describes something that can be drawn. A drawable definition by itself causes nothing to happen until its name is referenced. Drawable references must be enclosed in curly braces, e.g.@ @verb{|{foo}|}, with no intervening @cindex white space white space. In the code above, the first reference @cindex reference, drawable @verb{|{pierced_tetrahedron}|} @sxindex @{foo@}@r{, drawable reference} is a plain one. Its effect is merely to duplicate the earlier drawing. Almost any series of @code{sketch} commands @verb{|stuff|} may be replaced with @verb{|def foo { stuff } {foo}|} without changing its meaning. The @verb{|put|} command supplies a second reference, this time with a @dfn{transform} applied first. The @verb{|rotate|} @sxindex rotate @cindex rotation transform turns the tetrahedron 90 degrees about the origin. The axis of rotation @cindex axis, rotation is the vector @math{[1,0,0]}. By the @dfn{right hand rule}, @cindex right hand rule this causes the top of the tetrahedron to rotate toward the viewer and the bottom away. The rule receives its name from the following definition: @quotation @anchor{Right hand rule} @strong{Right hand rule.} If the right hand is wrapped around any axis with the thumb pointing in the axis direction, then the fingers curl in the direction of positive rotation about that axis. @end quotation The @verb{|translate|} @sxindex translate @cindex translation transform @cindex transform, translation transform moves the pyramid laterally to the right by adding the vector @cindex vector @math{[2.5,0,0]} to each vertex coordinate. The result is shown here. @center @image{ex050} @node Repeated objects, Swept objects, Object transforms, Introduction by example @comment node-name, next, previous, up @section Repeated objects To draw seven instances of the tetrahedron, each differing from the last by the same transform, replace the last two commands of the previous example with @sxindex repeat @sxindex rotate @sxindex translate @verbatim repeat { 7, rotate(15, (0,0,0), [1,0,0]) % copy in new position then translate([2,0,0]) } {pierced_tetrahedron} @end verbatim @noindent And the result@enddots{} @center @image{ex060} @node Swept objects, , Repeated objects, Introduction by example @comment node-name, next, previous, up @section Swept objects @cindex swept object @cindex sweep Many familiar shapes can be generated by sweeping simpler ones through space and considering the resulting path, surface, or volume. @code{Sketch} implements this idea in the @verb{|sweep|} command. @sxindex sweep @sxindex rotate @verbatim def n_segs 8 sweep { n_segs, rotate(180 / n_segs, (0,0,0), [0,0,1]) } (1,0,0) @end verbatim @noindent This code sweeps the point @math{(1,0,0)} @cindex point sweep @cindex swept point eight times by rotating it @math{180/8 = 22.5} degrees each time and connecting the resulting points with line segments. The @verb{|def|} used here is a @dfn{scalar} definition. @cindex definition, scalar @cindex scalar definition References to @cindex reference, scalar scalars have no enclosing brackets at all. @menu * Point sweeps:: Swept points make lines and polygons. * Polyline sweeps:: Swept lines make surfaces. * Nested sweeps:: Swept sweeps are useful! * Polygon sweeps:: Swept polygons make solids... * Polyline sweeps with closure:: and so do closed polyline sweeps. * Affine arithmetic:: Sketch useful math expression. * More to learn:: Check out the Mobius strip! @end menu @node Point sweeps, Polyline sweeps, Swept objects, Swept objects @comment node-name, next, previous, up @subsection Point sweeps Sweeping a point makes a one-dimensional path, which is a polyline. Since we have swept with a rotation, the result is a circular arc. Here is what it looks like. @center @image{ex070} This is the first example we have seen of @code{sketch} arithmetic. The expression @verb{|180 / n_segs|} causes the eight rotations to add to 180. If you're paying attention, you'll have already noted that there are @emph{nine} points, producing eight line segments. You can cause the swept point to generate a single polygon rather than a polyline by using the @dfn{closure tag} @verb{|<>|} @sxindex <>@r{, closure tag} @cindex closure tag, @code{<>} after the number of swept objects. Code and result follow @sxindex def @sxindex rotate @sxindex sweep @verbatim def n_segs 8 sweep { n_segs<>, rotate(180 / n_segs, (0,0,0), [0,0,1]) } (1,0,0) @end verbatim @center @image{ex080} @node Polyline sweeps, Nested sweeps, Point sweeps, Swept objects @comment node-name, next, previous, up @subsection Polyline sweeps Sweeping a polyline produces a @cindex line sweep @cindex swept line @cindex surface surface composed of many faces. @cindex faces The unbroken helix in the example @ref{Helix with cull set false then true} is produced by this code (plus a surrounding @verb{|put|} rotation to make an interesting view; this has been omitted). @sxindex def @sxindex sweep @sxindex rotate @sxindex translate @opindex cull @opindex linewidth @verbatim def K [0,0,1] sweep[cull=false] { 60, rotate(10, (0,0,0), [K]) then translate(1/6 * [K]) } line[linewidth=2pt](-1,0)(1,0) @end verbatim @noindent Again, 60 segments of the helix @cindex helix are produced by connecting 61 instances of the swept line. Options @cindex options, sweep applied to the sweep, here @verb{|cull=false|}, are treated as options for the generated polygon or polyline. Options of the swept line itself, here @verb{|linewidth=2pt|}, are ignored, though with a warning. This @verb{|def|} is a @dfn{vector} definition, @cindex definition, vector @cindex vector definition which must be referenced with square brackets, e.g.@ @verb{|[foo]|}. @cindex reference, vector @sxindex [foo]@r{, vector reference} @node Nested sweeps, Polygon sweeps, Polyline sweeps, Swept objects @comment node-name, next, previous, up @subsection Nested sweeps When the center point of rotation is omitted, @cindex center of rotation @cindex rotation, center of the origin is assumed. When a point has only two coordinates, they are taken as @math{x}@tie{}and @math{y},@tie{}with @math{z=0} assumed. A toroid @cindex toroid is therefore obtained with this code. @sxindex def @sxindex sweep @sxindex rotate @verbatim def n_toroid_segs 20 def n_circle_segs 16 def r_minor 1 def r_major 1.5 sweep { n_toroid_segs, rotate(360 / n_toroid_segs, [0,1,0]) } sweep { n_circle_segs, rotate(360 / n_circle_segs, (r_major,0,0)) } (r_major + r_minor, 0) @end verbatim @indent For intuition, the idea of the code is to sketch a circle to the right of the origin in the @math{xy}-plane, then rotate that circle ``out of the plane'' about the @math{y}-axis to make the final figure. This produces the following. (A view rotation and some axes have been added.) @center @image{ex090} This example also shows that the swept object may itself be another @code{sweep}. @sxindex sweep @cindex nesting, swept object In fact, it may be @emph{any} @code{sketch} expression that results in a list of one or more points or, alternately, a list of one or more polylines and polygons. The latter kind of list can be created with a @verb{|{ }|}-enclosed block, perhaps following a @sxindex put @verb{|put|} or @sxindex repeat @verb{|repeat|}. @sxindex @{ @}@r{, block drawable} @node Polygon sweeps, Polyline sweeps with closure, Nested sweeps, Swept objects @comment node-name, next, previous, up @subsection Polygon sweeps Sweeping a polygon @cindex polygon sweep @cindex swept polygon creates a closed surface with polygons at the ends, which are just copies of the original, appropriately positioned. @xref{Solid coil example}. @cindex options, swept object Options on the swept polygon, if they exist, are applied to the ends. Otherwise the sweep options @cindex options, sweep are used throughout. @node Polyline sweeps with closure, Affine arithmetic, Polygon sweeps, Swept objects @comment node-name, next, previous, up @subsection Polyline sweeps with closure A polyline sweep with a closure tag @sxindex <>@r{, closure tag} @cindex closure tag, @code{<>} creates another kind of closed surface. First, the polyline segments are connected by faces, just as without the closure tag. Then, each set of end points is joined to make a polygon, one for each end. A code for several views of a cylindrical prism follows. @sxindex def @sxindex repeat @sxindex rotate @sxindex then @sxindex translate @sxindex sweep @sxindex line @opindex fillcolor @verbatim def n_cyl_segs 20 def n_views 5 def I [1,0,0] def endopts [fillcolor=lightgray] repeat { n_views, rotate(180/n_views, [I]) then translate([I] * 2.1) } sweep[endopts]{ n_cyl_segs<>, rotate(360/n_cyl_segs, [0,1,0]) } line[fillcolor=white](1,-1)(1,1) @end verbatim @noindent It produces this drawing. @center @image{ex110} @noindent The options of the swept line, if any, are applied to the faces produced by sweeping the line, but not the end polygons. Otherwise, the sweep options are applied throughout. @cindex options, swept object The @verb{|def|} in this example is an @dfn{option} definition. @cindex definition, options @cindex options definition References to options must be enclosed in square brackets, e.g.@tie{} @verb{|[foo]|}. @cindex reference, options @sxindex [foo]@r{, options reference} You can concatenate several sets of options with a single reference, e.g.@tie{} @verb{|[color, size, style]|} would cause the option definitions for @code{color}, @code{size}, and @code{style} to appear in sequence in the output created by the @code{sketch} command containing the reference. Happily, the syntax of @code{sketch} is such that options references can never be confused with vector references. While not apparent in this example, options references are useful when defining many objects with a similar appearance. @node Affine arithmetic, More to learn, Polyline sweeps with closure, Swept objects @comment node-name, next, previous, up @subsection Affine arithmetic The arithmetic @verb{|[I] * 2.1|} above hints at a larger truth. @code{Sketch} operators work on scalars, vectors, points, and transforms according to the general rules of @dfn{affine algebra}. @cindex affine arithmetic This can be helpful for setting up diagrams with computed geometry. For example, if you have triangle vertices @verb{|(p1)|} through @verb{|(p3)|} and need to draw a unit normal vector pointing out of the center of the triangle, this code does the trick. @sxindex def @sxindex polygon @sxindex line @opindex arrows @verbatim def p1 (1,0,0) def p2 (0,0.5,0) def p3 (-0.5,-1,2) def O (0,0,0) def N unit( ((p3) - (p2)) * ((p1) - (p2)) ) def n1 ((p1)-(O) + (p2)-(O) + (p3)-(O)) / 3 + (O) def n2 (n1)+[N] polygon(p1)(p2)(p3) line[arrows=*->](n1)(n2) @end verbatim @noindent The first line computes the cross product of two edge vectors of the triangle and scales it to unit length. The second computes the average of the vertices. Note that subtraction and addition of the origin effectively convert vectors to points and @emph{vice versa}. The line command draws the normal at the correct spot. @center @image{ex100} Two caveats regarding this example remain. First, the only way to use @code{PSTricks}-style arrows is with @verb{|arrows=|}. @opindex arrows The alternative syntax for @code{PSTricks} arrows is not allowed in @verb{|sketch|}. Second, you might like to eliminate the third @verb{|def|} and write instead the following. @verbatim line[arrows=*->](n1) (n1)+[N] @end verbatim @noindent This is not allowed. The point lists in drawables may consist only of explicit points or point references. You may, however, use arithmetic to calculate point components. The following works, though it's a little cumbersome. @verbatim line[arrows=*->](n1)((n1)'x+(N)'x, (n1)'y+(N)'y, (n1)'z+(N)'z) @end verbatim @noindent Obviously, the @dfn{tick operator} @cindex tick operator (@code{'}) @sxindex 'x@r{,} 'y@r{, and }'z @samp{'x} extracts components of points and vectors. @node More to learn, , Affine arithmetic, Swept objects @comment node-name, next, previous, up @subsection More to learn This is not the end of the story on sweeps! We invite the reader into the main body of this documentation @ref{Sweeps} to learn more. @center @image{ex120} @noindent Who knows where you'll finish? @node Input language, Building a drawing, Introduction by example, Top @comment node-name, next, previous, up @chapter Input language This chapter describes the @code{sketch} input language in detail. @menu * Language basics:: Case, space, comments, include files. * Drawables:: Things that can be drawn. * Definitions:: Giving things names. * Global environment:: Affect the entire drawing. @end menu @node Language basics, Drawables, Input language, Input language @comment node-name, next, previous, up @section Basics @code{Sketch} input is plain ASCII text, usually stored in an input file. @cindex input file @cindex file, input It describes a @dfn{scene}, so the sketch language is a @dfn{scene description language}. @cindex scene description language @cindex language, scene description @code{Sketch} input is also @dfn{declarative}. @cindex declarative language @cindex language, declarative It merely declares what the scene ought to look like when drawing is complete and says very little about how @code{sketch} should do its work. @code{Sketch} commands are not executed sequentially as in the usual programming language. They merely contribute to that declaration. A few syntactic details are important. Case is significant in the @code{sketch} language. With a few exceptions, white space is not. This includes line breaks. @cindex white space Comments begin with @code{%} or @code{#} and extend to the end of the line. You can disable a chunk of syntactically correct @code{sketch} code by enclosing it in a @code{def}. @cindex comments There is a simple ``include file'' mechanism. @cindex include file @cindex file, include The command @sxindex input @verbatim input{otherfile.sk} @end verbatim @noindent causes the contents of @file{otherfile.sk} to be inserted as though they were part of the current file. @menu * Identifiers:: Names for things. * Key and reserved words:: Names you shouldn't use. * Literals:: Constants and constructors. * Arithmetic:: Rules for expressions. * Options:: Modifying object appearance. @end menu @node Identifiers, Key and reserved words, Language basics, Language basics @comment node-name, next, previous, up @subsection Identifiers Identifiers in @code{sketch} are references to earlier-defined options, scalars, points, vectors, transforms, drawables, and tags. @cindex identifiers Definitions are explained in @ref{Definitions}. An identifier consists of a leading letter followed by letters, numbers and underscores. The last character may @emph{not} be an underscore. Keywords cannot be used as identifiers, and reserved words ought to be avoided. @xref{Key and reserved words}. @node Key and reserved words, Literals, Identifiers, Language basics @comment node-name, next, previous, up @subsection Key and reserved words @cindex keywords The keywords of @code{sketch} are @code{picturebox} @code{curve} @code{def} @code{dots} @code{frame} @code{global} @code{input} @code{line} @code{polygon} @code{put} @code{repeat} @code{set} @code{sweep} and @code{then}. The @code{sketch} parser will note a syntax error if any of these are used in place of a proper identifier. In addition, there are reserved words @cindex reserved words that can currently be defined by the user, but with the risk that future versions of @code{sketch} will reject those definitions. The reserved words are @code{acos} @code{asin} @code{atan2} @code{cos} @code{inverse} @code{perspective} @code{project} @code{rotate} @code{scale} @code{sin} @code{special} @code{sqrt} @code{translate} @code{unit} and @code{view}. @node Literals, Arithmetic, Key and reserved words, Language basics @comment node-name, next, previous, up @subsection Literals Literals in @code{sketch} include scalars, points, vectors, and transforms. Literals, along with defined object references, are used in arithmetic expressions. @xref{Arithmetic}. @menu * Scalar literals:: Just the numbers. * Point and vector literals:: 3d quantities. * Transform literals:: Matrix form. @end menu @node Scalar literals, Point and vector literals, Literals, Literals @comment node-name, next, previous, up @subsubsection Scalar literals @cindex scalar literal @cindex literal, scalar Scalar literals are positive floating point numbers with syntax according to C conventions. The following are some examples. @example 0 1004 .001 8.3143 3. 1.60E-19 6.02e+23 @end example @noindent Scalar literals may not contain embedded spaces. @node Point and vector literals, Transform literals, Scalar literals, Literals @comment node-name, next, previous, up @subsubsection Point and vector literals @cindex point literal @cindex literal, point @cindex vector literal @cindex literal, vector Points and vector literals have these forms respectively. @example (@i{X},@i{Y},@i{Z}) [@i{X},@i{Y},@i{Z}] @end example @noindent Each of the components is itself a scalar expression. The @math{z}-components are optional and default to zero. @node Transform literals, , Point and vector literals, Literals @comment node-name, next, previous, up @subsubsection Transform literals @cindex transform literal @cindex literal, transform Most transform literals are formed by @dfn{constructors}. @cindex constructor These are summarized in the following table. @multitable {@code{[[@math{a_{11}},@math{a_{12}},@math{a_{13}},@math{a_{14}}],}}{point,vector,vector}{Long column meant to wrap but does it? Maybe.} @headitem Constructor @tab Param types @tab Description @item @code{rotate(A,P,X)} @sxindex rotate @cindex rotation transform @cindex transform, rotation @tab scalar,point,vector @tab Rotate @code{A} degrees about point @code{P} with axis @code{X} according to the right hand rule. @xref{Right hand rule}. @code{P} and @code{X} are both optional and default to the origin and the @math{z}-axis respectively. @item @code{translate(X)} @sxindex translate @cindex translation transform @cindex transform, translation @tab vector @tab Translate by @code{X}. @item @code{scale(S)} @sxindex scale @cindex scale transform @cindex transform, scale @tab scalar @tab Scale uniformly by factor @code{S}. @item @code{scale(V)} @sxindex scale @cindex scale transform @cindex transform, scale @tab vector @tab Scale along each axis by components of @code{V}. @item @code{project()} @sxindex project @cindex parallel projection @cindex projection, parallel @tab --- @tab Same as @code{scale([1,1,0])}. @item @code{project(S)} @sxindex project @cindex perspective projection @cindex projection, perspective @tab scalar @tab Perspective projection with view center at origin and projection plane @math{z=-@code{S}}. @item @code{perspective(S)} @sxindex perspective @cindex perspective projection @cindex projection, perspective @tab scalar @tab Perspective @emph{transform} identical to @code{project(S)} except that the @math{z}-coordinate of the transformed result is @dfn{pseudodepth}, usable by the hidden surface algorithm. @cindex hidden surface algorithm @item @code{view(E,D,U)} @sxindex view @cindex view transform @cindex transform, view @tab point,vector,vector @tab View transform similar to that of @code{OpenGL}'s. The @emph{eye point} @code{E} is translated to the origin while a rotation is also applied that makes the @emph{view direction vector} @code{D} and the @emph{view ``up'' vector} @code{U} point in the negative @math{z}- and the @math{y}-directions respectively. If @code{U} is omitted, it defaults to @math{[0,1,0]}. When @code{U} is omitted, @code{D} may be also; it defaults to @code{(0,0,0)-(E)}, a vector pointing from the eye toward the origin. @item @code{view(E,L,U)} @sxindex view @cindex view transform @cindex transform, view @tab point,point,vector @tab An alternate form of @code{view(E,D,U)} above where the view direction parameter @code{D} is replaced with a ``look at'' point @code{L}, i.e., a point where the viewer is focusing her attention. This form of view is equivalent to @code{view(E, (L)-(E), U)}, where @code{(L)-(E)} is a direction vector. @code{U} is optional and defaults to @math{[0,1,0]}. @item @code{[[@math{a_{11}},@math{a_{12}},@math{a_{13}},@math{a_{14}}]}@* @code{@w{ }[@math{a_{21}},@math{a_{22}},@math{a_{23}},@math{a_{24}}]}@* @code{@w{ }[@math{a_{31}},@math{a_{32}},@math{a_{33}},@math{a_{34}}]}@* @code{@w{ }[@math{a_{41}},@math{a_{42}},@math{a_{43}},@math{a_{44}}]]}@* @sxindex [[ ][ ][ ][ ]]@r{, transform literal} @cindex direct transform @cindex transform, direct @tab 16 scalars @tab Direct transform matrix definition. Each of the @math{a_{ij}} is a scalar expression. See text for details. @end multitable @noindent The @code{project} @sxindex project constructor is not generally useful because it defeats hidden surface removal by collapsing the scene onto a single plane. It is a special purpose transform for drawing pictures of scenes where three-dimensional objects are being projected onto planes. See, for example, @ref{Overview}. The direct transform constructor @sxindex [[ ][ ][ ][ ]]@r{, transform literal} @cindex direct transform @cindex transform, direct allows direct entry of a 4x4 transformation matrix. Most 3d graphics systems, including @code{sketch}, use 4-dimensional homogeneous coordinates internally. These are transformed by multiplication with 4x4 matrices. The built-in constructors (@code{rotate}, @code{scale}, etc.) are all translated internally to such 4x4 matrices. For more information on homogeneous coordinate transformations, see any good computer graphics textbook. The direct transform feature of @code{sketch} allows you to enter a matrix of your own choice. There are not many cases where this is useful, but if you do need it, you need it badly! @node Arithmetic, Options, Literals, Language basics @subsection Arithmetic expressions Arithmetic expressions over @code{sketch} literals and defined identifiers are summarized in the following tables. @menu * Two-operand (binary) forms:: A op B * Unary forms:: op A (and others) @end menu @node Two-operand (binary) forms, Unary forms, Arithmetic, Arithmetic @comment node-name, next, previous, up @subsubsection Two-operand (binary) forms and precedence Most two-operand binary @cindex binary form @cindex two-operand form forms have meanings dependent on the types of their arguments. An exhaustive summary of the possibilities is given in the following table. @multitable {transform}{@code{then}}{transform}{transform}{a long description that really ought to wrap but does it I do not know} @headitem Left @tab Op @tab Right @tab Result @tab Description @item scalar @tab @code{+} @tab scalar @sxindex +@r{, plus operator} @tab scalar @tab Scalar sum. @item vector @tab @code{+} @tab vector @tab vector @tab Vector sum. @item point @tab @code{+} @tab vector @tab point @tab Point-vector affine sum. @item vector @tab @code{+} @tab point @tab " @tab " @item scalar @tab @code{-} @tab scalar @sxindex -@r{, minus operator} @tab scalar @tab Scalar difference. @item vector @tab @code{-} @tab vector @tab vector @tab Vector difference. @item point @tab @code{-} @tab point @tab vector @tab Point-point affine difference. @item point @tab @code{-} @tab vector @tab point @tab Point-vector affine difference. @item scalar @tab @code{*} or @code{.} @tab scalar @sxindex *@r{, multiplication operator} @sxindex .@r{, dot operator} @tab scalar @tab Scalar product. @item scalar @tab @code{*} or @code{.} @tab vector @tab vector @tab Scalar-vector product. @item vector @tab @code{*} or @code{.} @tab scalar @tab " @tab " @item vector @tab @code{*} @tab vector @tab vector @tab Vector cross-product. @item vector @tab @code{.} @tab vector @tab scalar @tab Vector dot product. @item scalar @tab @code{^} @tab scalar @sxindex ^@r{, exponentiation operator} @tab scalar @tab Raise scalar to scalar power. @item transform @tab @code{^} @tab integer @tab transform @tab Raise transform to integer power. @cindex transform @item transform @tab @code{*} or @code{.} @tab point @tab point @tab Affine point transform (right-to-left). @item transform @tab @code{*} or @code{.} @tab vector @tab vector @tab Affine vector transform (right-to-left). @item transform @tab @code{*} or @code{.} @tab transform @tab transform @tab Transform composition (right-to-left). @item point @tab @code{then} @tab transform @sxindex then @tab point @tab Affine point transform (left-to-right). @item vector @tab @code{then} @tab transform @tab vector @tab Affine vector transform (left-to-right). @item transform @tab @code{then} @tab transform @tab transform @tab Transform composition (left-to-right). @item scalar @tab @code{/} @tab scalar @sxindex /@r{, division operator} @tab scalar @tab Scalar division. @item vector @tab @code{/} @tab scalar @tab vector @tab Vector component-wise division by scalar. @item point @tab @code{'} @tab @code{x}, @code{y}, or @code{z} @cindex tick operator (@code{'}) @sxindex 'x@r{,} 'y@r{, and }'z @tab scalar @tab Point component extraction. @item vector @tab @code{'} @tab @code{x}, @code{y}, or @code{z} @tab scalar @tab Vector component extraction. @end multitable @sp 1 @noindent Operator precedence @cindex precedence, operator @cindex operator precedence is shown in this table. @multitable {@code{then}} {highest (most tightly binding)} @headitem Op @tab Precedence @item @code{'} @tab highest (most tightly binding) @item @code{^} @tab @item @code{-} @tab (unary negation) @item @code{*} @code{.} @code{/} @tab @item @code{+} @code{-} @tab @item @code{then} @tab lowest (least tightly binding) @end multitable @sp 1 @noindent All operations are left-associative @cindex operator associativity @cindex associativity, operator except for @samp{^}. Parentheses @samp{( )} @cindex parentheses @sxindex ( )@r{, grouping} are used for grouping to override precedence in the usual way. As you can see, the dot operator @samp{.} @sxindex .@r{, dot operator} is usually a synonym for run-of-the-mill multiplication, @samp{*}. The meanings differ only for vector operands. The @code{then} operator @sxindex then merely reverses the operand order with respect to normal multiplication @samp{*}. The intent here is to make compositions read more naturally. The code @example (1,2,3) then scale(2) then rotate(30) then translate([1,3,0]) @end example @noindent expresses a series of successive modifications to the point, whereas the equivalent form @sxindex *@r{, multiplication operator} @example translate([1,3,0]) * rotate(30) * scale(2) * (1,2,3) @end example @noindent will be intuitive only to mathematicians (and perhaps Arabic language readers). @node Unary forms, , Two-operand (binary) forms, Arithmetic @comment node-name, next, previous, up @subsubsection Unary forms Unary or one-operand forms @cindex unary form @cindex one-operand form are summarized in the following table, where @code{X} stands for the operand. @multitable{@code{inverse(X)}}{transform}{transform}{Long description meant to wrap eventually.} @headitem Op @tab Operand @tab Result @tab Description @item @code{-X} @tab scalar @sxindex -@r{, unary minus operator} @tab scalar @tab Unary scalar negation. @item @code{-X} @tab vector @tab vector @tab Unary vector negation. @item @code{|X|} @tab vector @sxindex |@math{X}|@r{, magnitude operator} @tab scalar @tab Vector length. @item @code{unit(X)} @tab vector @sxindex unit @tab vector @tab Unit vector with same direction. @item @code{sqrt(X)} @tab scalar @sxindex sqrt @tab scalar @tab Scalar square root. @item @code{sin(X)} @tab scalar @sxindex sin @tab scalar @tab Trigonometric sine (@code{X} in degrees). @item @code{cos(X)} @tab scalar @sxindex cos @tab scalar @tab Trigonometric cosine (@code{X} in degrees). @item @code{asin(X)} @tab scalar @sxindex asin @tab scalar @tab Inverse sine (@code{X} in degrees). @item @code{acos(X)} @tab scalar @sxindex acos @tab scalar @tab Inverse cosine (@code{X} in degrees). @item @code{atan2(X,Y)} @tab scalar @sxindex atan2 @tab scalar @tab Polar angle in degrees of vector @math{[X,Y]}. @item @code{inverse(X)} @tab transform @sxindex inverse @tab transform @tab Inverse transform. @end multitable @sp 1 @noindent Errors are reported when @code{|X|}, @code{unit}, @code{asin}, @code{acos}, @code{sqrt}, @code{atan2}, and @code{inverse} fail due to operands outside their respective domains. @node Options, , Arithmetic, Language basics @comment node-name, next, previous, up @subsection Options @cindex options @strong{Syntax:} @example [@var{key1}=@var{val1},@var{key2}=@var{val2},@dots{}] @end example @noindent Options are used to specify details of the appearance of drawables. As shown above, they are given as comma-separated key-value pairs. @menu * PSTricks options:: Options inherited from @code{PSTricks}. * TikZ/PGF options:: Options inherited from @code{TikZ/PGF}. * Dots in TikZ/PGF:: Sketch uses @code{TikZ/PGF} circles for dots. * TikZ/PGF user-defined styles:: Support for @code{TikZ/PGF} named, user-defined styles. * Transparency:: See-through polygons. * Internal options:: Options used by @code{sketch}. @end menu @node PSTricks options, TikZ/PGF options, Options, Options @comment node-name, next, previous, up @subsubsection @code{PSTricks} options When @code{language pstricks} is selected (the default), permissible key-value pairs include all those for similar @code{PSTricks} objects. For example, a polygon might have the options @verbatim [linewidth=1pt,linecolor=blue,fillcolor=cyan] @end verbatim @noindent @code{Sketch} merely passes these on to @code{PSTricks} without checking or modification. Option lists are always optional. A missing options list is equivalent to an empty one @samp{[]}. When a @code{polygon} has options for both its face and its edges, and the polygon is split by the hidden surface algorithm, @code{sketch} must copy the edge options to @code{psline}s for the edge segments and the face options to @code{pspolygon}s. Options known to @code{sketch} for purposes of this splitting operation include @code{arrows}, @code{dash}, @code{dotsep}, @code{fillcolor}, @code{fillstyle}, @code{linecolor}, @code{linestyle}, @code{linewidth}, @code{opacity}, @code{showpoints}, @code{strokeopacity}, and @code{transpalpha}. @node TikZ/PGF options, Dots in TikZ/PGF, PSTricks options, Options @comment node-name, next, previous, up @subsubsection @code{TikZ/PGF} options @code{TikZ/PGF} options are handled much as for @code{PSTricks}. Though @code{TikZ/PGF} often allows colors and styles to be given without corresponding keys, for example, @verbatim \draw[red,ultra thick](0,0)--(1,1); @end verbatim @noindent this is not permitted in @code{sketch}. To draw a red, ultra-thick line in @code{sketch}, the form is @verbatim line[draw=red,style=ultra thick](0,0)(1,1) @end verbatim Just as for @code{PSTricks}, when a @code{polygon} has options for both its face and its edges, and the polygon is split by the hidden surface algorithm, @code{sketch} must copy the edge options to @code{psline}s for the edge segments and the face options to @code{pspolygon}s. @code{TikZ/PGF} options known to @code{sketch} for purposes of this splitting operation include @code{arrows}, @code{cap}, @code{color}, @code{dash pattern}, @code{dash phase}, @code{double}, @code{double distance}, @code{draw}, @code{draw opacity}, @code{fill}, @code{fill opacity}, @code{join}, @code{line width}, @code{miter limit}, @code{pattern}, @code{pattern color}, and @code{style}. The @code{style} option can contain both face and edge information, so @code{sketch} must check the style value. Values known to @code{sketch} include @code{dashed}, @code{densely dashed}, @code{densely dotted}, @code{dotted}, @code{double}, @code{loosely dashed}, @code{loosely dotted}, @code{nearly opaque}, @code{nearly transparent}, @code{semithick}, @code{semitransparent}, @code{solid}, @code{thick}, @code{thin}, @code{transparent}, @code{ultra nearly transparent}, @code{ultra thick}, @code{ultra thin}, @code{very nearly transparent}, @code{very thick}, and @code{very thin}. @node Dots in TikZ/PGF, TikZ/PGF user-defined styles, TikZ/PGF options, Options @comment node-name, next, previous, up @subsubsection Dots in @code{TikZ/PGF} @code{TikZ/PGF} does not have a @code{dots} command as does PSTricks. Instead, @code{Sketch} emits dots as @code{filldraw} circles. The diameter may be set using the option @code{dotsize} borrowed from PSTricks. The @code{dotsize} option will be removed from the option list in the output @code{filldraw} command. Other options work in the expected way. For example, @code{fill} sets fill color and @code{color} sets line color of the circles. @node TikZ/PGF user-defined styles, Transparency, Dots in TikZ/PGF, Options @comment node-name, next, previous, up @subsubsection @code{TikZ/PGF} user-defined styles @code{TikZ/PGF} allows named styles defined by the user, for example @verbatim \tikzstyle{mypolygonstyle} = [fill=blue!20,fill opacity=0.8] \tikzstyle{mylinestyle} = [red!20,dashed] @end verbatim @noindent Since @code{sketch} has no information on the contents of such styles, it omits them entirely from lines, polygons, and their edges during option splitting. For example, @verbatim polygon[style=mypolygonstyle,style=thick](0,0,1)(1,0,0)(0,1,0) line[style=mylinestyle](-1,-1,-1)(2,2,2) @end verbatim @noindent produces the @code{TikZ} output @verbatim \draw(-1,-1)--(.333,.333); \filldraw[thick,fill=white](0,0)--(1,0)--(0,1)--cycle; \draw(.333,.333)--(2,2); @end verbatim @noindent Note that the user-defined styles are not present. Sketch also issues warnings: @verbatim warning, unknown polygon option style=mypolygonstyle will be ignored warning, unknown line option style=mylinestyle will be ignored @end verbatim The remedy is to state explicitly whether a user-defined style should be attched to polygons or lines in the @code{TikZ} output using @emph{pseudo-options} @code{fill style} and @code{line style}, @cindex pseudo-options @sxindex fill style @sxindex line style @verbatim polygon[fill style=mypolygonstyle,style=thick](0,0,1)(1,0,0)(0,1,0) line[line style=mylinestyle](-1,-1,-1)(2,2,2) @end verbatim @noindent Now, the output is @verbatim \draw[mylinestyle](-1,-1)--(.333,.333); \filldraw[mypolygonstyle,thick](0,0)--(1,0)--(0,1)--cycle; \draw[mylinestyle](.333,.333)--(2,2); @end verbatim A useful technique is to include user-defined style definitions in @code{sketch} code as @code{special}s with option @code{[lay=under]} to ensure that the styles are emitted first in the output, before any uses of the style names. @opindex lay @footnote{This clever trick is due to Kjell Magne Fauske.} For example, @verbatim special|\tikzstyle{mypolygonstyle} = [fill=blue!20,fill opacity=0.8]|[lay=under] special|\tikzstyle{mylinestyle} = [red!20,dashed]|[lay=under] @end verbatim @noindent The author is responsible for using the key, @code{line style} or @code{fill style}, that matches the content of the style definition. @node Transparency, Internal options, TikZ/PGF user-defined styles, Options @comment node-name, next, previous, up @subsubsection Transparency @cindex transparency Both @code{PSTricks} and @code{TikZ/PGF} support polygon options that have the effect of making the polygon appear transparent. For @code{PSTricks}, keyword @code{transpalpha} was used during initial development of transparency features, and @code{opacity} was adopted later. @code{Sketch} honors both. @code{TikZ/PGF} uses @code{opacity} only. @opindex transpalpha @opindex opacity @opindex fill opacity When transparent polygons are in the foreground, objects behind them (drawn earlier) are visible with color subdued and tinted. The hidden surface algorithm of @code{sketch} works well with such transparent polygons. Note that @verb{|cull=false|} @opindex cull must be used for rear-facing polygons to be visible when positioned behind other transparent surfaces. @node Internal options, , Transparency, Options @comment node-name, next, previous, up @subsubsection Internal options There are also @emph{internal} options @cindex options, internal @cindex internal options used only by @code{sketch} and not passed on to @code{PSTricks}. These are summarized in the following table. @sxindex cull @sxindex lay @sxindex split @multitable {@code{split}}{@code{over}, @code{in}, @code{under}}{A column that ought to wrap. Will it wrap? I do not know.} @headitem Key @tab Possible values @tab Description @item @code{cull} @tab @code{true}, @code{false} @tab Turn culling of backfaces on and off respectively for this object. The default value is @code{true}. @item @code{lay} @tab @code{over}, @code{in}, @code{under} @tab Force this object to be @code{under} or @code{over} all other objects in the depth sort @cindex depth sort order created by the hidden surface algorithm. The default value @code{over} guarantees that output due to the @code{special} will be visible. @item @code{split} @tab @code{true}, @code{false} @tab Turn splitting of sweep-generated body polygons @cindex body polygon @cindex polygon, body on and off respectively. @xref{Sweeps}. The default value @code{true} causes ``warped'' polygons to be split into triangles, which avoids mistakes by the hidden surface algorithm. @end multitable @subsection Point lists @sxindex point list @strong{Syntax:} @example (@var{x1},@var{y1},@var{z1})(@var{x2},@var{y2},@var{z2})@dots{} @end example @noindent A sequence of one or more points makes a point list, a feature common to all drawables. Each of the point components is a scalar arithmetic expression. Any point may have the @math{z}-component omitted; it will default to @math{z=0}. @menu * Drawables:: Things that are drawn. * Definitions:: Things with names. @end menu @node Drawables, Definitions, Language basics, Input language @comment node-name, next, previous, up @section Drawables @cindex drawable Drawables are simply @code{sketch} objects that might appear in the drawing. They include dots, polylines, curves, polygons, and more complex objects that are built up from simpler ones in various ways. Finally, @dfn{special} objects are those composed of @LaTeX{} or @code{PSTricks} code, perhaps including coordinates and angles computed by @code{sketch}. @menu * Dots:: Draw dots. * Lines:: Draw polylines. * Curves:: Draw curves. * Polygons:: Draw polygons. * Specials:: Embed raw @LaTeX{} and @code{PSTricks}. * Sweeps:: Draw sweeps of dots and polylines. * Blocks:: Group other drawables. * Repeats:: Draw transformed copies of objects. * Puts:: Draw one object transformed. @end menu @node Dots, Lines, Drawables, Drawables @comment node-name, next, previous, up @subsection Dots @sxindex dots @strong{Syntax:} @example dots[@var{options}] @var{point_list} @end example @noindent This command is the three-dimensional equivalent of the @code{PSTricks} command @code{\psdots}. @node Lines, Curves, Dots, Drawables @comment node-name, next, previous, up @subsection Lines @sxindex line @strong{Syntax:} @example line[@var{options}] @var{point_list} @end example @noindent This command is the three-dimensional equivalent of the @code{PSTricks} command @code{\psline}. @node Curves, Polygons, Lines, Drawables @comment node-name, next, previous, up @subsection Curves @sxindex curve @strong{Syntax:} @example curve[@var{options}] @var{point_list} @end example @noindent This command is the three-dimensional equivalent of the @code{PSTricks} command @code{\pscurve}. @b{It is not implemented in the current version of @code{sketch}}. @node Polygons, Specials, Curves, Drawables @comment node-name, next, previous, up @subsection Polygons @sxindex polygon @strong{Syntax:} @example polygon[@var{options}] @var{point_list} @end example @noindent @noindent This command is the three-dimensional equivalent of the @code{PSTricks} command @code{\pspolygon}. The @code{sketch} hidden surface algorithm assumes that polygons are convex and planar. @cindex polygon, planar @cindex planarity of polygons In practice, drawings may well turn out correctly even if these assumptions are violated. @node Specials, Sweeps, Polygons, Drawables @comment node-name, next, previous, up @subsection Specials @sxindex special @strong{Syntax:} @example special $@var{raw_text}$[@var{options}] @var{arg_list} @end example @noindent Here @code{$} @cindex quoting, special can be any character and is used to delimit the start and end of @var{raw_text}. The command embeds @var{raw_text} in the @code{sketch} output after performing substitutions as follows. @cindex special argument substitution @cindex argument, special @itemize @item @code{#@var{i}} where @var{i} is a positive integer is replaced by the @var{i}'th value in @var{arg_list}. Point and vector arguments become two-dimensional points, which are the transformed 3d arguments projected onto the @var{x}-@var{y} plane. This allows two-dimentional output elements such as labels to be easily positioned with respect to three-dimensional features in the drawing. Scalar arguments are subsituted directly. No transformation is applied. @item @code{#@{@var{i}@}} is also replaced as above. @item @code{#@var{i}'2} is replaced as above for points or vectors. It is an error for the @var{i}'th argument to be a scalar. @item @code{#@var{i}'x}, @code{#@var{i}'y}, or @code{#@var{i}'z} is replaced, respectively, by the scalar @var{x}, @var{y}, or @var{z}-coordinate of the argument point or vector. It is an error for the @var{i}'th argument to be a scalar. @item @code{#@var{i}'3} is replaced by the three-dimensional transformed argument. Note that if a perspective transformation has been applied, the @var{z}-coordinate has little geometric significance, though it accurately indicates relative depth. @item @code{#@var{i}-@var{j}} where @var{i} and @var{j} are positive integers is replaced by a string @code{@{@var{angle}@}} where @var{angle} is the polar angle of a vector from the @var{i}'th point in @var{point_list} to the @var{j}'th point projected into the @math{x}-@math{y} plane. It is an error for the @var{i}'th or @var{j}'th argument to be a scalar or a vector. @item @code{#@{@var{i}-@var{j}@}} is also replaced as above. @item @code{##} is replaced with @code{#}. @end itemize @noindent The forms with braces @samp{@{ @}} are useful when the argument is immediately followed by a digit or a tick character that is part of the @TeX{} code. The only useful option of @code{special} is @code{lay}, which determines if the substitued raw text is emitted before, after, or using the first point in @var{point_list} as an indicator of depth. These occur, respectively, with @code{lay=under}, @code{lay=over}, and @code{lay=in}. See @ref{Special objects} and @ref{TikZ/PGF user-defined styles} for examples. @sxindex lay @xref{Internal options}. @node Sweeps, Blocks, Specials, Drawables @comment node-name, next, previous, up @subsection Sweeps @sxindex sweep @strong{Syntax:} @example sweep @{ @var{n}, @var{T_1}, @var{T_2}, @dots{}, @var{T_@math{r}} @}[@var{options}] @var{swept_object} sweep @{ @var{n}<>, @var{T_1}, @var{T_2}, @dots{}, @var{T_@math{r}} @}[@var{options}] @var{swept_object} @end example @noindent The sweep connects @var{n} (or perhaps @math{@var{n}+1}) copies of @var{swept_object} @cindex swept object in order to create a new object of higher dimension. The @var{T_@math{i}} (for @math{i} between @math{1} and @math{r}) are transforms. @cindex transform The @math{k}'th copy of @var{swept_object} is produced by applying the following transform to the original. @example @math{@var{T_1}^k} then @math{@var{T_2}^k} then @dots{} then @math{@var{T_r}^k} @end example @noindent Here @math{@var{T}^k} means ``transform @var{T} applied @math{k} times.'' The original object is the zero'th copy, with @math{k=0} and effectively no transform applied (@math{T^0=I}, the identity transform). The method of connecting the copies depends on the type of @var{swept_object} and on whether the closure tag @sxindex <>@r{, closure tag} @cindex closure tag, @code{<>} @samp{<>} is present or not. An example of a sweep where @math{r=2} is the Mobius figure at @ref{More to learn}. @menu * Swept points:: Swept points make lines or polygons. * Swept lines:: Swept lines make open or closed surfaces. * Swept polygons:: Swept polygons make closed surfaces. * Swept blocks:: Swept block @equiv{} block of sweeps. * Sweep face splitting:: Fixing warped faces with triangles. @end menu @node Swept points, Swept lines, Sweeps, Sweeps @comment node-name, next, previous, up @subsubsection Swept points @cindex swept point @cindex point sweep If @var{swept_object} is a point list and there is no closure tag, @sxindex <>@r{, closure tag} @cindex closure tag, @code{<>} then @code{sweep} connects @math{@var{n}+1} successive copies of each point (including the original) with straight line segments to form a polyline. If there are @math{m} points in the original point list, @cindex point list then @math{m} polylines with @var{n} segments each are formed by the sweep. In this manner, @code{sweep} forms a set of one-dimensional objects (polylines) from zero-dimensional ones (points). When there @emph{is} a closure tag, @sxindex <>@r{, closure tag} @cindex closure tag, @code{<>} @code{sweep} connects @var{n} successive copies of each point (including the original) with straight line segments and finally connects the last copy back to the original to form a polygon with @var{n} sides. If there are @math{m} points in the original point list, then @math{m} polygons with @var{n} sides each are formed by the sweep. In this manner, @code{sweep} forms a set of two-dimensional objects (polygons) from zero-dimensional ones (points). Options @cindex options, sweep of the @code{sweep} are copied directly to the resulting polyline(s). @node Swept lines, Swept polygons, Swept points, Sweeps @comment node-name, next, previous, up @subsubsection Swept lines @cindex swept line @cindex line sweep If @var{swept_object} is a polyline and there is no closure tag, @sxindex <>@r{, closure tag} @cindex closure tag, @code{<>} then @code{sweep} connects @math{@var{n}+1} successive copies of the polyline (including the original) with four-sided polygons, each pair of copies giving rise to a ``polygon strip.'' If there are @math{m} points in the original polyline, then @math{(m-1)@var{n}} polygons are formed by the sweep. We call these @dfn{body polygons}. @cindex body polygon @cindex polygon, body In this manner, @code{sweep} forms a two-dimensional surface from from a one-dimensional polyline. The order of vertices @cindex polygon vertex order @cindex order, polygon vertex produced by @code{sweep} is important. If a polygon's vertices do not appear in counter-clockwise order in the final image, the polygon will be culled @cindex culling (unless @code{cull=false} is set). If the points in the @math{k}'th copy of the polyline are @math{P_1}, @math{P_2}, @dots{}, @math{P_m}, and the points in the next copy, the @math{(k+1)}st, are @math{P_1'}, @math{P_2'}, @dots{}, @math{P_m'}, then the vertex order of the generated polygons is @display Body polygon 1: @math{P_2} @math{P_1} @math{P_1'} @math{P_2'} Body polygon 2: @math{P_3} @math{P_2} @math{P_2'} @math{P_3'} @dots{} Body polygon @math{m-1}: @math{P_m} @math{P_{m-1}} @math{P_{m-1}'} @math{P_m'} @end display Options of unclosed line sweeps @cindex options, sweep are copied to each output polygon. Options of the swept line are ignored. @cindex options, swept object When there @emph{is} a closure tag, @sxindex <>@r{, closure tag} @cindex closure tag, @code{<>} then @code{sweep} connects @var{n} successive copies of the polyline (including the original) with four-sided body polygons just as the case with no closure tag. It then connects the last copy back to the original to form a ribbon-shaped surface that closes on itself with two holes remaining. Finally, the sweep adds two more polygons to seal the holes and form a closed surface that, depending on the sweep transforms, may represent the boundary of a solid. In this manner, @code{sweep} forms the boundary of a three-dimensional object from a one-dimensional polyline. We call these hole-filling polygons @dfn{ends}. @cindex end polygon @cindex polygon, end The order of vertices of end polygons @cindex polygon vertex order @cindex order, polygon vertex is important for correct culling as described above. If @math{P_1^1}, @math{P_1^2}, @dots{}, @math{P_1^n} are the @var{n} copies of the first polyline point and @math{P_m^1}, @math{P_m^2}, @dots{} ,@math{P_m^n} are the @var{n} copies of the last polyline point, then the end polygon vertex order is @display End polygon 1: @math{P_1^n}, @math{P_1^{n-1}}, @dots{} ,@math{P_1^1} End polygon 2: @math{P_m^1}, @math{P_m^2}, @dots{} ,@math{P_m^n} @end display If there are no options on the swept line, @cindex options, swept object then the @samp{sweep} options @cindex options, sweep are copied to each output polygon. If the swept line does have options, these are copied to corresponding body polygons; the sweep options are copied to the end polygons. In this manner, body and ends may be drawn with different characteristics such as @code{fillcolor}. @node Swept polygons, Swept blocks, Swept lines, Sweeps @comment node-name, next, previous, up @subsubsection Swept polygons @cindex polygon sweep If @var{swept_object} is a polygon, the @code{sweep} connects @math{@var{n}+1} successive copies of the closed polyline border of the polygon to form body polygons exactly as though the border were a swept polyline as described in @ref{Swept lines}. @cindex body polygon @cindex polygon, body If there are @math{m} points in the original polygon, then @math{m@var{n}} body polygons are formed by this sweep. The body polygons form an @dfn{extrusion} of the boundary of the original polygon with two holes at the open ends. Finally, the sweep adds two copies of the original polygon to cover the holes. We call these hole-filling polygons @dfn{ends}. @cindex end polygon @cindex polygon, end In this manner, @code{sweep} forms the boundary of a three-dimensional object from a two-dimensional polygon. The order of vertices @cindex polygon vertex order @cindex order, polygon vertex of end polygons is important for correct culling as described above. An exact copy of the original polygon with vertex order intact forms the first end polygon. The other end polygon results from transforming and the reversing the order of vertices in the original. The transform places the original polygon at the uncovered hole; it is @example @math{@var{T_1}^n} then @math{@var{T_2}^n} then @dots{} then @math{@var{T_r}^n}. @end example @noindent If there are no options on the swept polygon, then the @samp{sweep} options are copied to each output polygon. If the swept polygon does have options, these are copied to the ends; the sweep options are copied to the body polygons. In this manner, body and ends may be drawn with different characteristics such as @code{fillcolor}. @node Swept blocks, Sweep face splitting, Swept polygons, Sweeps @comment node-name, next, previous, up @subsubsection Swept blocks @cindex swept bock @cindex block sweep The swept object @var{swept_object} may also be any collection of polylines and polygons. This may be a block @cindex block @sxindex @{ @}@r{, block drawable} composed of @code{line} @sxindex line and/or @code{polygon} @sxindex polygon commands in braces @samp{@{ @}}, or it may be the result of a @code{repeat}, another @code{sweep}, etc. The sweep acts independently on each object in the block exactly as if it were a single swept object described above in @ref{Swept lines} and @ref{Swept polygons}. @node Sweep face splitting, , Swept blocks, Sweeps @comment node-name, next, previous, up @subsubsection Sweep face splitting Before sending each four-sided body polygon of a @code{sweep} to the output, @code{sketch} tests to see if it is roughly planar. @cindex polygon, planar @cindex planarity of polygons Since planarity is necessary for proper functioning of the hidden surface algorithm, ``warped'' polygons are automatically split into two triangles. Hole-filling polygons produced by closure-tagged @sxindex <>@r{, closure tag} @cindex closure tag, @code{<>} line sweeps are not split. Nor are original polygons in polygon sweeps. It is the user's responsibility to ensure these are planar. @node Blocks, Repeats, Sweeps, Drawables @comment node-name, next, previous, up @subsection Blocks @cindex block @sxindex @{ @}@r{, block drawable} Any sequence of drawables may be grouped in a @dfn{block} merely by enclosing them in braces @samp{@{ @}}. A block is itself drawable. A key use of blocks is to extend the effect of a single @code{def}, @ref{Definitions}, @code{put} @ref{Puts}, @code{sweep} @ref{Sweeps}, or @code{repeat} @ref{Repeats} to include several objects rather than one. Definitions (@xref{Definitions}.) inside a block have @dfn{lexical scope} @cindex lexical scope @cindex scope, identifier extending from the place of definition to the end of the block. @node Repeats, Puts, Blocks, Drawables @comment node-name, next, previous, up @subsection Repeats @sxindex repeat @cindex repeated object @strong{Syntax:} @example repeat @{ @var{n}, @var{T_1}, @var{T_2}, @dots{}, @var{T_r} @} @var{repeated_object} @end example @noindent The repeat makes @var{n} transformed copies of @var{repeated_object} (including the original). The @var{T_@math{i}} are transforms. @cindex transform The @math{k}'th copy of the @var{repeated_object} (for @math{k=0,1,...,n-1}) is produced in the same manner as for @code{sweep}s described in @ref{Sweeps}. This is repeated here (no pun intended) for convenience. To make the @math{k}'th copy, the following transform is applied to the original object. @example @math{@var{T_1}^k} then @math{@var{T_2}^k} then @dots{} then @math{@var{T_r}^k} @end example @noindent Here @math{@var{T}^k} means ``transform @var{T} applied @math{k} times.'' @node Puts, , Repeats, Drawables @comment node-name, next, previous, up @subsection Puts @sxindex put @strong{Syntax:} @example put @{ @var{T} @} @var{put_object} @end example @noindent Put merely applies transform @var{T} to the drawable @var{put_object}. @node Definitions, Global environment, Drawables, Input language @comment node-name, next, previous, up @section Definitions @cindex definition Definitions give names to @code{sketch} objects. Definitions alone are benign. A @code{sketch} input file consisting entirely of definitions will generate no drawing. Only when definitions are @dfn{referenced} do they potentially lead to ink on the drawing. The intent of definitions is to make @code{sketch} code more concise and readable. There is no input file employing definitions that could not be re-written without them. Definable objects include any result of an affine arithmetic expression (scalar, point, vector, or transform), any drawable object (dots, line, curve, polygon, block, sweep, put, repeat, or special), and option strings. In addition, @dfn{tag definitions}, @cindex definition, tag @cindex tag definition which have no associated object at all, allow the meaning of other definitions to be selected from a set of alternatives. Since tags may be defined (and undefined) in the command line of @code{sketch}, they can be an aid in the script-driven preparation of documents. @menu * Forms of definitions:: Different defs for different purposes. * Forms of references:: How references denote types. @end menu @node Forms of definitions, Forms of references, Definitions, Definitions @comment node-name, next, previous, up @subsection Forms of definitions Definitions have three possible forms, @dfn{simple}, @cindex simple definition @cindex definition, simple @dfn{with alternatives}, @cindex definition with alternatives @cindex alternatives, definition and @dfn{tag} @cindex tag definition @cindex definition, tag as shown here in order. @noindent @strong{Syntax:} @example def @var{id} @var{object} % simple def def @var{id} <@var{tag_1}> @var{object_1} % def with alternatives <@var{tag_2}> @var{object_2} @dots{} <> @var{default_object} def @var{id} <> % tag def @end example @noindent The simple definition merely associates @var{object} with the identifier @var{id}. The definition with alternatives associates @var{object_i} with @var{id}, where @var{tag_i} is the first defined tag in the list of alternative tag references. @cindex tag reference @cindex reference, tag @sxindex @r{, tag reference} If no tag in the list is defined, then @var{default_object} is associated with identifier @var{id}. The final form defines @var{id} as a tag. Another way to define a tag is with the @option{-D} command line option. @xref{Command line}. @node Forms of references, , Forms of definitions, Definitions @subsection Forms of references References to defined names are enclosed in bracketing delimiters. The delimiter characters imply the type of the associated value as shown in the table below. A type error is raised if the type of a reference does not match the type of the defined value. The intent of this mechanism is, again, to make @code{sketch} input files more readable. @multitable {transform}{@code{[@var{id}]} or @code{[@var{id1}, ..., @var{idN}]}} @headitem Type @tab Reference @item scalar @tab @code{@var{id}} @cindex scalar reference @cindex reference, scalar @item point @tab @code{(@var{id})} @cindex point reference @cindex reference, point @sxindex (foo)@r{, point reference} @item vector @tab @code{[@var{id}]} @cindex vector reference @cindex reference, vector @sxindex [foo]@r{, vector reference} @item transform @tab @code{[[@var{id}]]} @cindex transform reference @cindex reference, transform @sxindex [[foo]]@r{, transform reference} @item drawable @tab @code{@{@var{id}@}} @cindex drawable reference @cindex reference, drawable @sxindex @{foo@}@r{, drawable reference} @item options @tab @code{[@var{id}]} or @code{[@var{id1},...,@var{idN}]} @cindex options reference @cindex reference, options @sxindex [foo]@r{, options reference} @cindex options multiple reference @cindex reference, multiple options @sxindex [foo,...,bar]@r{, multiple options reference} @item tag @tab @code{<@var{id}>} @cindex tag reference @cindex reference, tag @sxindex @r{, tag reference} @end multitable @sp 1 @noindent Note that square brackets @samp{[ ]} are used both for vector and for options references. Details of @code{sketch} syntax make it impossible for these two reference types to be confused. The special multiple reference @code{[@var{id1},@var{id2},...,@var{idN}]} acts as if the respective lists of options were concatenated. @node Global environment, , Definitions, Input language @comment node-name, next, previous, up @section Global environment An optional global environment block provides a few ways to affect the entire scene. The block must appear as the last text in the @code{sketch} input file. It may include definitions, but note that previous definitions at the top level (not nested inside blocks) are also available. @noindent @strong{Syntax:} @sxindex global @example global @{ @var{environment_settings} @} @end example @noindent The contents of @var{environment_settings} are discussed in the sections that follow. @menu * Global options:: Attributes of the entire drawing. * Camera:: A final camera transformation of the scene. * Picture box:: Setting the bounding box and 2d clipping. * Frame:: Adding a box around the drawing. * Language:: Setting the output language. @end menu @node Global options, Camera, Global environment, Global environment @comment node-name, next, previous, up @subsection Global options @cindex options, global @cindex global options @sxindex set @strong{Syntax:} @example set [ @var{options} ] @end example @noindent The contents of @var{options}, except for @code{sketch} internal options, are copied as-is to a @verb{|\psset|} that appears before anything else in the output file. This is a good place to set @code{unit}, a default @code{linewidth}, etc. Internal options @cindex options, internal @cindex internal options work on all objects where they make sense. This includes @sxindex cull @sxindex split @sxindex lay @code{cull} and @code{split} (but not @code{lay}). @xref{Internal options}. @node Camera, Picture box, Global options, Global environment @comment node-name, next, previous, up @subsection Camera @cindex camera @strong{Syntax:} @sxindex camera @example camera @var{transform_expression} @end example The @var{transform_expression} is applied after all other transformations of the scene. This is currently only useful for transforming the bounding box. @xref{Picture box}. It will play a role in any future implementation of clipping. @node Picture box, Frame, Camera, Global environment @comment node-name, next, previous, up @subsection Picture box @cindex picture box @strong{Syntax:} @sxindex picturebox @example picturebox[@var{baseline}] picturebox[@var{baseline}] (@var{p1})(@var{p2}) @end example @noindent The first form of @code{picturebox} causes a scalar @var{baseline} fraction to be emitted in the @code{pspicture} @cindex @code{pspicture} @cindex baseline fraction environment of the output. See @code{PSTricks} documentation for @code{pspicture}. In the second form, the @var{baseline} fraction is optional, and the two points that follow define the diagonal of a three-dimensional bounding box @cindex bounding box for the completed scene. The parallel projection @cindex parallel projection @cindex projection, parallel of the bounding box determines the corners of the drawing's @code{pspicture*} environment, which is used in place of @code{pspicture}. This causes PostScript to clip @cindex clipping the final drawing to the bounding box in 2d. If there is a @code{camera} specified, the camera tranformation is applied to the bounding box, and the @code{pspicture} is set just large enough to include the transformed box. When no bounding box is given, @code{sketch} computes one automatically. @node Frame, Language, Picture box, Global environment @comment node-name, next, previous, up @subsection Frame @cindex frame box @strong{Syntax:} @sxindex frame @example frame [@var{options}] @end example @noindent Causes a @verb{|\psframebox|} @cindex @code{psframebox} to surround the @code{pspicture} environment in the output. If @var{options} are present, they are copied as-is. Normally one would want to set @opindex linewidth @code{linewidth}, @opindex linestyle @code{linestyle}, @opindex linecolor @code{linecolor}, etc. If omitted, then @opindex framesep @code{framesep=0pt} is added so that the frame tightly hugs the @code{pspicture}. @node Language, , Frame, Global environment @comment node-name, next, previous, up @subsection Language @cindex language, output @cindex output language @sxindex language @example language tikz language tikz, context language pstricks language pstricks, latex @end example @noindent Sets the output language generated by @code{sketch}. @sxindex pstricks @sxindex tikz The set of options understood by sketch also changes. For example, the @code{PSTricks} option @code{linewidth} will not be properly handled if @code{language} is set to @code{tikz}. Similarly, the @code{TikZ} option @code{line style} (note the space) will not be properly handled if @code{language} is set to @code{pstricks}. If no language is specified, the default @code{pstricks} is used. An optional comma followed by @code{latex} @sxindex latex or @code{context} @sxindex context specifies the macro package that the output should assume. This affects the @code{picture} environment commands emitted and the document template used with the @option{-T} option. @xref{Command line}. Note that at the time this manual was generated, @code{PSTricks} was not supported by @LaTeX{} or by @code{ConTeXt}. @node Building a drawing, Command line, Input language, Top @comment node-name, next, previous, up @chapter Building a drawing Successful drawings with @code{sketch} and with any scene description language @cindex scene description language require that the user develop an accurate mental picture of her code and its meaning. This image is best built in small pieces. Therefore, @code{sketch} inputs are best created in small increments with frequent pauses to compile and view the results. Careful comments in the input often help as a scene grows in complexity. @menu * Overview:: Building a substantial drawing. * A technical drawing:: An example with fine placement. * A hierarchical model:: An example with sweeps and puts. * Caveats:: Where trouble can occur. @end menu @node Overview, A technical drawing, Building a drawing, Building a drawing @comment node-name, next, previous, up @section Overview As an overview, let's develop a diagram that shows how a perspective projection transform @cindex perspective projection @cindex transform @cindex projection, perspective works. We'll start with the traditional reference object used in computer graphics textbooks, a house-shaped prism. Begin by defining the points of the house. Rather than defining the faces of the house as polygons and transforming those, we are going to transform the points themselves with @code{sketch} arithmetic so that we have names for the transformed points later. @sxindex def @verbatim % right side (outside to right) def R1 (1,1,1) def R2 (1,-1,1) def R3 (1,-1,-1) def R4 (1,1,-1) def R5 (1,1.5,0) % left side (outside to right--backward) def W [2,0,0] def L1 (R1)-[W] def L2 (R2)-[W] def L3 (R3)-[W] def L4 (R4)-[W] def L5 (R5)-[W] @end verbatim @noindent To add a door to the house, we use a polygon slightly in front of the foremost face of the house. @verbatim % door def e .01 def D1 (0,-1,1+e) def D2 (.5,-1,1+e) def D3 (.5,0,1+e) def D4 (0,0,1+e) @end verbatim @noindent Now let's create a new set of points that are a to-be-determined transform of the originals. @verbatim def hp scale(1) % house positioner def pR1 [[hp]]*(R1) def pR2 [[hp]]*(R2) def pR3 [[hp]]*(R3) def pR4 [[hp]]*(R4) def pR5 [[hp]]*(R5) def pL1 [[hp]]*(L1) def pL2 [[hp]]*(L2) def pL3 [[hp]]*(L3) def pL4 [[hp]]*(L4) def pL5 [[hp]]*(L5) def pD1 [[hp]]*(D1) def pD2 [[hp]]*(D2) def pD3 [[hp]]*(D3) def pD4 [[hp]]*(D4) @end verbatim @noindent Note the use of a @dfn{transform definition} @cindex transform definition @cindex definition, transform @sxindex [[foo]]@r{, transform reference} and @dfn{transform references}. @cindex transform reference @cindex reference, transform @sxindex [[foo]]@r{, transform reference} Now define the seven polygonal faces of the house and the door using the transformed points as vertices. Be careful with vertex order! @cindex polygon vertex order @cindex order, polygon vertex @opindex fillcolor @sxindex def @sxindex polygon @sxindex @{ @}@r{, block drawable} @verbatim def rgt polygon (pR1)(pR2)(pR3)(pR4)(pR5) def lft polygon (pL5)(pL4)(pL3)(pL2)(pL1) def frt polygon (pR2)(pR1)(pL1)(pL2) def bck polygon (pR4)(pR3)(pL3)(pL4) def tfr polygon (pR1)(pR5)(pL5)(pL1) def tbk polygon (pR5)(pR4)(pL4)(pL5) def bot polygon (pR2)(pL2)(pL3)(pR3) def door polygon[fillcolor=brown] (pD1)(pD2)(pD3)(pD4) def house { {rgt}{lft}{frt}{bck}{tfr}{tbk}{bot}{door} } @end verbatim Time for a sanity check. Add the line @sxindex @{foo@}@r{, drawable reference} @cindex reference, drawable @verbatim {house} @end verbatim @noindent and this is what we get. @center @image{ex130} @noindent This is correct, but does not reveal very much. Common errors are misplaced vertices and polygons missing entirely due to incorrect vertex order. @cindex polygon vertex order @cindex order, polygon vertex To rule these out, let's inspect all sides of the house. This is not hard. Merely replace the reference @verb{|{house}|} with a @code{repeat}. @xref{Repeats}. @sxindex @{foo@}@r{, drawable reference} @cindex reference, drawable @sxindex repeat @sxindex rotate @sxindex translate @verbatim repeat { 13, rotate(30, [1,2,3]), translate([3,0,0]) } {house} @end verbatim @center @image{ex140} @noindent Again things look correct. Note that the hidden surface algorithm handles intersecting polygons correctly where some copies of the house overlap. Let's lay out the geometry of perspective projection of the house onto a plane with rays passing through the origin. Begin by positioning the house twelve units back on the negative @math{z}-axis and adding a set of coordinate axes. To move the house we need only change the ``house positioning'' transform defined earlier. @sxindex def @sxindex rotate @sxindex translate @opindex arrows @opindex linewidth @opindex linecolor @opindex linestyle @sxindex special @sxindex line @verbatim def hp rotate(-40, [0,1,0]) then translate([0,0,-12]) def axes { def sz 1 line [arrows=<->] (sz,0,0)(O)(0,sz,0) line [arrows=->] (O)(0,0,sz) line [linewidth=.2pt,linecolor=blue,linestyle=dashed] (O)(0,0,-10) special |\uput[r]#1{$x$}\uput[u]#2{$y$}\uput[l]#3{$z$}| (sz,0,0)(0,sz,0)(0,0,sz) } @end verbatim Time for another test. Let's build a real view transform, creating a @dfn{virtual camera} @cindex virtual camera to look at the scene we are constructing. Replace the @code{repeat} with @verbatim def eye (10,4,10) def look_at (0,0,-5) put { view((eye), (look_at)) } { {house}{axes} } @end verbatim The @dfn{view transform} repositions the scene so that the point @code{eye} is at the origin and the direction from @code{eye} to @code{look_at} is the negative @math{z}-axis. This requires a rotation and a translation that are all packed into the constructor @code{view}. @center @image{ex150} @noindent This is starting to look good! Add the projection plane half way between the origin and the house at @math{z=-5}. We'll try the angle argument feature of @code{special} to position a label. @verbatim def p 5 % projection distance (plane at z=-p) def projection_plane { def sz 1.5 polygon (-sz,-sz,-p)(sz,-sz,-p)(sz,sz,-p)(-sz,sz,-p) special |\rput[b]#1-2#3{\footnotesize\sf projection plane}| (-sz,-sz,-p)(sz,-sz,-p)(0,-sz+.1,-p) } @end verbatim @noindent Add @verb{|{projection_plane}|} to the list of objects in the @code{put} above. @center @image{ex160} @indent The way we constructed the points of the house now makes it easy to draw rays of projection. We'll cast one ray from every visible vertex of the house and define options so the appearance of all rays can be changed at the same time. @verbatim def projection_rays { def rayopt [linewidth=.3pt,linecolor=lightgray] line [rayopt](O)(pR1) line [rayopt](O)(pR2) line[rayopt](O)(pR3) line [rayopt](O)(pR4) line [rayopt](O)(pR5) line [rayopt](O)(pL1) line [rayopt](O)(pL2) line[rayopt](O)(pL5) line [rayopt](O)(pD1) line [rayopt](O)(pD2) line [rayopt](O)(pD3) line [rayopt](O)(pD4) } @end verbatim @noindent The result is shown here. @center @image{ex170} @noindent The rays pierce the projection plane at the corresponding points on the perspective image we are trying to draw. Albrecht D@"urer and his Renaissance contemporaries had the same idea in the early 1500's. @center @image{duerer,,1.5in} All that's left is to find a way to connect the points of the house on the projection plane. We could pull out a good computer graphics text, find the necessary matrix, and enter it ourselves as a transform literal. @xref{Transform literals}. That work is already done, however. We can use the @code{project(p)} constructor. There are still some details that require care. Projection will flatten whatever is transformed onto the plane @math{z=-p}. Therefore any part of the house could disappear behind the projection plane (the hidden surface algorithm orders objects at the same depth arbitrarily). The door may also disappear behind the front of the house. To make sure everything remains visible, we'll place the house a tiny bit in front of the projection plane and a second copy of the door in front of the house. @verbatim def projection { % e is a small number defined above put { project(p) then translate([0,0,1*e]) } {house} put { project(p) then translate([0,0,2*e]) } {door} } @end verbatim @center @image{ex180} If you have studied and understand all this, you are well on the way to success with @code{sketch}. Not shown are the 20 or so iterations that were required to find a reasonable viewing angle and house position, etc. Nonetheless, this drawing was completed in about an hour. While a GUI tool may have been a little faster, it is unlikely that a new drawing, itself a perspective projection of the scene, could be generated with two more minutes' work! Just change the view transform to @verbatim put { view((eye), (look_at)) then perspective(9) } { ... @end verbatim @noindent and produce this. @center @image{ex190} @node A technical drawing, A hierarchical model, Overview, Building a drawing @comment node-name, next, previous, up @section A technical drawing Let's look at a drawing that represents the kind of problem @code{sketch} was meant to solve---a pair of textbook figures regarding a polygonal approximation of a truncated cone. Here are the pictures we will produce. @center @image{ex250}@ @ @ @ @ @image{ex260} The cone shape is just a swept line with no closure tag and culling turned off. Begin by setting up some useful constants. @sxindex def @sxindex rotate @verbatim def O (0,0,0) def I [1,0,0] def J [0,1,0] def K [0,0,1] def p0 (1,2) def p1 (1.5,0) def N 8 def seg_rot rotate(360 / N, [J]) @end verbatim @noindent The points @code{p0} and @code{p1} are the end points of the line to be swept. The definition @code{seg_rot} is the sweep transformation. With these, the cone itself is simple. @sxindex sweep @opindex cull @sxindex line @cindex swept line @cindex line sweep @verbatim sweep[cull=false] { N, [[seg_rot]] } line(p0)(p1) @end verbatim The axes are next and include an interesing trick that shows the hidden parts as dotted lines. The secret is draw the axes twice---solid lines with the normal @cindex hidden surface algorithm hidden surface algorithm in effect, and then dotted with the option @opindex lay @code{lay=over} so that no polygons can hide them. @sxindex def @sxindex line @opindex arrows @opindex linewidth @opindex lay @opindex linestyle @sxindex special @verbatim def ax (dx,0,0) % tips of the axes def ay (0,dy,0) def az (0,0,dz) line[arrows=<->,linewidth=.4pt](ax)(O)(ay) line[arrows=->,linewidth=.4pt](O)(az) % repeat dotted as an overlay to hint at the hidden lines line[lay=over,linestyle=dotted,linewidth=.4pt](ax)(O)(ay) line[lay=over,linestyle=dotted,linewidth=.4pt](O)(az) special|\footnotesize \uput[d]#1{$x$}\uput[u]#2{$y$}\uput[l]#3{$z$}| (ax)(ay)(az) @end verbatim @noindent The labels are applied with @code{PSTricks} special objects @cindex special objects as usual. For the height dimension mark, the power of affine @cindex affine arithmetic arithetic is very helpful. @sxindex def @sxindex unit @sxindex scale @sxindex line @sxindex special @verbatim def hdim_ref unit((p1) - (O)) then [[seg_rot]]^2 def c0 (p0) then scale([J]) def h00 (c0) + 1.1 * [hdim_ref] def h01 (c0) + 1.9 * [hdim_ref] def h02 (c0) + 1.8 * [hdim_ref] line(h00)(h01) def h10 (O) + 1.6 * [hdim_ref] def h11 (O) + 1.9 * [hdim_ref] def h12 (O) + 1.8 * [hdim_ref] line(h10)(h11) line[arrows=<->](h02)(h12) def hm2 ((h02) - (O) + (h12) - (O)) / 2 + (O) special|\footnotesize\rput*#1{$h$}|(hm2) @end verbatim The general idea employed here is to compute a unit ``reference vector'' parallel to the @math{xz}-plane in the desired direction of the dimension from the origin. The transformation @code{[[seg_rot]]^2} rotates two segments about the @math{y}-axis. When applied to @code{(p1) - (O)}, the resulting vector points to the right as shown. In this manner, we can pick any vertex as the location of the height dimension lines by varying the exponent of @code{[[seg_rot]]}. This is only one of many possible strategies. The computation of @code{hm2} is a useful idiom for finding the @cindex centroid centroid of a set of points. The two radius marks are done similarly, so we present the code without comment. @sxindex def @sxindex line @sxindex special @sxindex scale @opindex arrows @verbatim % radius measurement marks def gap [0,.2,0] % used to create small vertical gaps % first r1 def up1 [0,3.1,0] % tick rises above dimension a little def r1 ((p1) then [[seg_rot]]^-2) + [up1] def r1c (r1) then scale([J]) def r1t (r1) + [gap] def r1b ((r1t) then scale([1,0,1])) + [gap] line[arrows=<->](r1c)(r1) % dimension line line(r1b)(r1t) % tick def r1m ((r1) - (O) + (r1c) - (O)) / 2 + (O) % label position special |\footnotesize\rput*#1{$r_1$}|(r1m) % label % same drill for r0, but must project down first def up0 [0,2.7,0] def r0 ((p0) then scale([1,0,1]) then [[seg_rot]]^-2) + [up0] def r0c (r0) then scale([J]) def r0t (r0) + [gap] def r0b ((p0) then [[seg_rot]]^-2) + [gap] line[arrows=<->](r0c)(r0) line(r0b)(r0t) def r0m ((r0) - (O) + (r0c) - (O)) / 2 + (O) special |\footnotesize\rput*#1{$r_0$}|(r0m) @end verbatim The second drawing uses the same techniques. Only the method for drawing the elliptical arc is new. Here is the code. @sxindex def @sxindex special @opindex lay @verbatim def mid ((p00)-(O)+(p10)-(O)+(p11)-(O)+(p01)-(O))/4+(O) special|\rput#1{\pscustom{ \scale{1 1.3} \psarc[arrowlength=.5]{->}{.25}{-60}{240}}}| [lay=over](mid) @end verbatim @noindent We could have swept a point to make the arc with @code{sketch}, but using a @code{PSTricks} custom graphic was simpler. Again we computed the @cindex centroid centroid of the quadrilateral by averaging points. Note that scaling in Postscript distorts the arrowhead, but in this case the distortion actually looks better in the projection of the slanted face. A @code{sketch} arrowhead would not have been distorted. The complete code for this example, which draws either figure depending on the definition of the tag @code{}, is included in the @code{sketch} distribution in the file @file{truncatedcone.sk}. @node A hierarchical model, Caveats, A technical drawing, Building a drawing @comment node-name, next, previous, up @section A hierarchical model @cindex hierarchical model While @code{sketch} was never meant to be a geometric modeling language, it comes fairly close. The following example puts all we have seen to work in a very simple model of the human hand. Start by sweeping a line to make a truncated cone, which will be copied over and over again to make the segments of fingers. @sxindex def @sxindex sweep @sxindex rotate @sxindex line @verbatim def O (0,0,0) % origin def I [1,0,0] def J [0,1,0] def K [0,0,1] % canonical unit vectors def segment { def n_faces 8 sweep { n_faces<>, rotate(360 / n_faces, [J]) } line(proximal_rad, 0)(distal_rad, distal_len) } @end verbatim @noindent In hand anatomy, @emph{distal} is ``at the tip'' and @emph{proximal} is ``in the area of the palm.'' We have omitted all the scalar constants. You can find them in @file{hand.sk}, which is provided in the @code{sketch} distribution. We also need a prototypical sphere to use for the joints themselves. @sxindex def @sxindex sweep @sxindex rotate @verbatim def joint_sphere { def n_joint_faces 8 sweep [fillcolor=red] { n_joint_faces, rotate(360 / n_joint_faces, [J]) } sweep { n_joint_faces, rotate(180 / n_joint_faces) } (0, -joint_rad) } @end verbatim We'll now design the index finger (number@w{ }1 in our notational convention; finger@w{ }0 is the thumb). The distal rotation for the finger applies only to the tip, so we define the following. @sxindex def @sxindex put @sxindex translate @sxindex rotate @sxindex scale @verbatim def distal_1 { put { translate(joint_gap * joint_rad * [J]) then rotate(distal_1_rot, [I]) then translate((distal_len + joint_gap * joint_rad) * [J]) } {segment} put { rotate(distal_1_rot / 2, [I]) then translate((distal_len + joint_gap * joint_rad) * [J]) } {joint_sphere} put { scale( [J] + proximal_distal_ratio * ([I]+[K]) ) } {segment} } @end verbatim @noindent The identifiers here are for size and location constants. The exception is @code{distal_rot_1}. This rotation parameter models the flexing of the finger tip. The first @code{put} makes a copy of the finger segment that is translated upward @cindex translation transform @cindex transform, translation just far enough to make room for the spherical joint. Then it applies the distal rotation. @cindex rotation transform @cindex transform, rotation Finally it translates the whole assembly upward again to make room for the middle phlanges (the next bone toward the palm). The second @code{put} positions the sphere. There is a rotation to place the grid on the sphere surface at an nice angle, then a translation to the base of the distal phlanges, which is also center of its rotation. Finally, the last @code{put} positions the middle segment itself. The middle joint is the next one down, with rotation angle @code{middle_rot_1}. When this angle changes, we need all the objects in @code{distal_1} to rotate as a unit. @cindex rotation transform @cindex transform, rotation This is the reasoning behind the next definition. @verbatim def finger_1 { put { translate(joint_gap * joint_rad * [J]) then rotate(middle_1_rot, [I]) then translate((middle_ratio * distal_len + joint_gap * joint_rad) * [J]) } {distal_1} put { scale(proximal_distal_ratio) then rotate(middle_1_rot / 2, [I]) then translate((middle_ratio * distal_len + joint_gap * joint_rad) * [J]) } {joint_sphere} put { scale( middle_ratio * [J] + proximal_distal_ratio^2 * ([I]+[K]) ) } {segment} } @end verbatim @noindent This looks very similar to the previous definition, and it is. The important difference is that rather than positioning and rotating a single segment, we position and rotate the entire ``assembly'' defined as @code{distal_1}. @cindex rotation transform @cindex transform, rotation The rest is just arithmetic to compute sizes and positions that look nice. The last @code{put} places an appropriately shaped segment that is the @emph{proximal phlanges}, the bone that joins the palm of the hand. This completes the finger itself. All the other fingers are described identically to this one. We account for the fact that real fingers are different sizes in the next step, which is to build the entire hand. The @code{hand} definition that follows includes a section for each finger. We'll continue with finger@w{ }1 and omit all the others. (Of note is that the thumb needs slightly special treatment---an extra rotation to account for its opposing angle. This is clear in the full source code.) Not surprisingly, the @code{hand} definition looks very much like the previous two. It should be no surprise that when the rotation parameter @code{meta_1_rot} changes, the entire finger rotates! @cindex rotation transform @cindex transform, rotation There is an additional rotation that allows the fingers to spread laterally. We say these joints of the proximal phlanges have two @emph{degrees of freedom}. The joints higher on the finger have only one. Finally, each finger is scaled by a factor to lend it proportion. @verbatim def hand { % finger 1 [all other fingers omitted] def scale_1 .85 put { scale(scale_1) then translate((joint_gap * joint_rad) * [J]) then rotate(meta_1_rot, [I]) then rotate(-spread_rot, [K]) then translate((proximal_1_loc) - (O)) } {finger_1} put { scale(scale_1 * proximal_distal_ratio^2) then rotate(meta_1_rot / 2, [I]) then rotate(-spread_rot, [K]) then translate((proximal_1_loc) - (O)) } {joint_sphere} % palm sweep { 1, rotate(6, (0,15,0), [I]) } put { rotate(-3, (0,15,0), [I]) } { polygon(proximal_1_loc)(proximal_2_loc) (proximal_3_loc)(proximal_4_loc) (h5)(h6)(h6a)(h9)(h10) polygon(h6a)(h7)(h8)(h9) } } @end verbatim @noindent The last section of the definition creates the polytope for the palm of the hand by @code{sweep}ing @cindex swept polygon @cindex polygon sweep a 10-sided polygon through a very short arc (9@w{ }degrees). This provides a wedge-shaped profile when viewed from the side. The thick end of the wedge is the wrist. Because the polygon is concave, it is split into into two convex shapes with nine and four vertices. We can now have fun positioning the hand by adjusting the various rotation angles. The complete source includes definitions with alternatives that include the following views and more. @center @image{ex210}@image{ex220}@image{ex230}@image{ex240} @node Caveats, , A hierarchical model, Building a drawing @comment node-name, next, previous, up @section Caveats @code{Sketch} is a fairly powerful tool for drawing, but, just as with @TeX{}, the power to create beautiful results comes along with the power to make mistakes. The following are some points where care is necessary and where the current version of @code{sketch} is limited or has known bugs. @menu * Limits on error detection:: What sketch doesn't do. * Clipping:: No clipping at present. * Hidden surface removal:: Imperfections to fix. @end menu @node Limits on error detection, Clipping, Caveats, Caveats @comment node-name, next, previous, up @subsection Limits on @code{sketch} error detection @code{Sketch} catches many kinds of errors, but not all. For example, options that sketch does not recognize, even incorrect ones, are quietly copied to @code{PSTricks} commands in the output. It is also unfortunately easy to produce @code{sketch} inputs that lead to no picture at all (improper vertex ordering causes everything to be culled), to pictures that are too big or too small for @code{PSTricks} to draw (due to limits of @TeX{} math), and pictures that look nothing like what was intended. A picture with one of these problems can be difficult to ``debug.'' We offer the following suggestions. @itemize @item Follow the suggested incremental development method described in @ref{Overview}. @item Always maintain one or two back-versions of a drawing so that it is easy to fall back to a known-good increment. @item When using @code{perspective}, ensure all finally transformed objects satisfy @math{z<0} and, in fact, do not come very close to the origin at all. @item Temporarily use @code{cull=false} to see where vertex ordering problems lie. @item Use temporary changes of color of one or more objects to ensure that your understanding of the scene geometry is correct. @item If @code{PSTricks} complains about something, inspect the output directly for clues. @end itemize @node Clipping, Hidden surface removal, Limits on error detection, Caveats @comment node-name, next, previous, up @subsection Clipping The current version of @code{sketch} has no clipping @cindex clipping operations. The entire scene is always drawn. This means that when a perspective transform is employed, it is the user's responsibility to make sure the entire scene remains in front of the viewer, the region @math{z<0}. @node Hidden surface removal, , Clipping, Caveats @comment node-name, next, previous, up @subsection Hidden surface removal and polygon splitting @code{Sketch} uses the @dfn{depth sort algorithm} @cindex depth sort @cindex hidden surface algorithm for hidden surface removal. This is a very old technique due to Newell.@footnote{Newell, M.E., R.G.@: Newell, and T.L.@: Sancha, A solution to the hidden surface problem. @i{Proceedings of the ACM annual conference - Volume 1}, page 443--450, ACM Press, 1972.} It is generally regarded as too slow for real time graphics, but it is ideal for our purpose where speed is not very important.@footnote{We have run @code{sketch} on the famous Stanford Bunny, which consists of nearly @math{70,000} triangles. Run time was about 6 seconds. Most of this was spent writing the output file rather than in the hidden surface algorithm. @LaTeX{} took much longer to process the resulting @code{PSTricks} code. The obvious conclusion is that the speed of the depth sort algorithm is not a worry.} The depth sort algorithm merely sorts objects on a key of increasing @math{z}-coordinate, equivalent to decreasing depth. Objects are then drawn in the sorted sequence so that those at the rear of the scene are overwritten by those closer to the viewer. Since this is also how oil painters practice their art, depth sort is sometimes called ``the painter's algorithm.'' In some cases it is impossible to strictly order polygons according to depth. Moreover, even if a correct depth ordering exists, the computation needed to find it may be too complex and slow. In these cases, @code{sketch} splits @cindex splitting, line and surface one or more polygons into pieces. The expectation is that the new, smaller polygons will be simpler to order. @code{Sketch} uses a @acronym{BSP,binary space partition} @cindex binary space partition @cindex BSP, binary space partition to handle the splitting operation. @menu * Statistics:: Performance numbers on depth sort. * Bugs and anomalies:: Imperfections in this implementation. @end menu @node Statistics, Bugs and anomalies, Hidden surface removal, Hidden surface removal @comment node-name, next, previous, up @subsubsection Statistics For the curious, @code{sketch} writes one line of depth sort statistics. Here is an example for a large collection of triangles. @verbatim remark, node=34824 probe=581.9 swap=5 split=2 (in=4 out=6) ols=24851/0 @end verbatim @noindent It means that @math{34,824} objects were depth sorted after culling. For each, an average of @math{581.9} others had to be checked to ensure that the initial, approximate ordering was correct. Among all these checks, only @math{5} resulted in swaps to reorder the initial sort. In two cases, a correct ordering could not be determined, so binary space partitions @cindex binary space partition were constructed for splitting. A total of @math{4} objects (triangles in this case) were inserted in the partitions, and @math{6} polygons were produced. Finally, @math{24,851} ``last resort'' polygon overlap checks were performed after simpler, faster checks failed to yield conclusive results. The final @math{/0} is for line-polygon overlap checks. For comparison, the statistics for the last figure in @ref{Overview} follow. @verbatim remark, node=27 probe=14.6 swap=36 split=15 (in=30 out=45) ols=0/69 @end verbatim @noindent Note that there was proportionally much more swapping and splitting activity in this highly connected scene. @node Bugs and anomalies, , Statistics, Hidden surface removal @comment node-name, next, previous, up @subsubsection Bugs and anomalies Polygon and line splitting can both cause anomalies in the output. @code{PSTricks} dash patterns, specified with @code{linestyle=dashed}, @opindex linestyle can be disrupted by splitting. This occurs when the depth sort @cindex depth sort gives up too early and splits a line where it is not really necessary. A workaround is to use gray or finely dotted lines instead. If your drawing is small, you can also edit the @code{sketch} output by hand to merge the pieces of the offending line. Another anomaly is tiny (or in degenerate cases not-so-tiny) notches in the lines that border split polygons. These derive from the way each polygon is painted: first, all pixels within the boundary are @dfn{filled} with color (perhaps white), then the same boundary is @dfn{stroked} (a Postscript term) with a line. The result is that half the line lies inside the boundary and half outside, while the Painter's algorithm assumes the polygon lies entirely within its boundary. The notches are due to one polygon fill operation overwriting the already-drawn inside of the border of another polygon.@footnote{I know how to fix this problem, but I don't like my solution, and I'm interested in yours.} One workaround is to make border lines very thin. In fact @code{linewidth=0pt} is guaranteed to eliminate this problem, though this results in the thinnest line your output device can draw, which is usually too thin. You might get lucky by merely reordering things in the input file, which is likely to move the splits to different places. The only sure-fire solution is pretty terrible: custom fit @code{special} overlay lines (with @code{\psline}) to cover the notches. Polygon splitting also breaks @code{PSTricks} hatch patterns. The only known workaround is to substitute a solid fill for the hatch. @node Command line, Installing sketch, Building a drawing, Top @comment node-name, next, previous, up @chapter Command line @cindex command line, @code{sketch} @strong{Synopsis:} @example sketch [-h][-V x.y][-v][-b][-d][t doctmp][-T[u|e][p[P|T][L|C]]][-o output.tex] [-D @var{tag} @dots{}] input1.sk [-U @var{tag} @dots{}] input2.sk @dots{} @end example @noindent @strong{Description} Processes the @code{sketch} input files in order to produce @code{PSTricks} output code suitable for inclusion in a @TeX{} or @LaTeX{} document. @noindent @strong{Options:} @cindex options, command line @cindex command line options @table @code @item -h Print a short catalog of options. @item -V Set the @code{PSTricks} version assumed for output purposes to @code{x.y}, for example 1.19. Usually needed only if your @code{PSTricks} is old compared to your @code{sketch}. Use @code{-v} to see what @code{sketch} assumes by default. @item -v Print version information to standard output, including the version of @code{PSTricks} assumed for output (can be changed with @code{-V} above). @item -b Use a BSP @cindex binary space partition @cindex BSP, binary space partition (@xref{Hidden surface removal}.) for @emph{all} hidden surface removal rather than the default, which is the depth sort algorithm with BSPs used only for cycle resolution. This may produce correct output in certain degenerate cases where the depth sort cannot, but it also leads to many gratuitous splits, hence more anomalies @ref{Bugs and anomalies} and big output files. @item -d Run @code{sketch}'s parser in debugging mode. This is primarily for development. @item -t Use contents of file @file{doctmp} as a document template @cindex document template @cindex template, document in which to enclose @code{PSTricks} output code. The code is inserted in place of the first instance of the escape string @verb{|%%SKETCH_OUTPUT%%|}. @item -T Causes @code{PSTricks} output to be enclosed in default US document template text. Option @option{-Tu} is a synonym. Option @option{-Te} causes the Euro standard document template to be used. A @option{p} appended to any of these options causes the respective default @code{PSTricks} document template to be printed to standard output. An appended @option{P} is a synonym. An appended @option{T} causes the the @code{TikZ/PGF} template to be printed. An appended @option{L} prints the @LaTeX{} version of the document template, a synonym for the default. A @option{C} prints the @code{ConTeXt} template. @item -o Use @file{output.tex} as the output file. The default is standard output. @item -D Define a tag @cindex tag definition @cindex definition, tag for purposes of selecting definition alternatives. @xref{Definitions}. The definition applies for all input files that follow unless the tag is undefined with @option{-U}. @item input@math{i}.sk Input files, read in the sequence they are given. @item -U Un-define a tag for purposes of selecting definition alternatives. @end table @node Installing sketch, Index of syntax, Command line, Top @comment node-name, next, previous, up @chapter Building and installing @code{sketch} @code{Sketch} is so small that compiling by brute force is probably best. The following command ought to do the trick on any systems where @code{gcc} is installed. Make sure to first change current directories to the place where you have unpacked the sources. @example gcc *.c -o sketch.exe -lm @end example @noindent The @samp{.exe} at the end is necessary for Windows systems. Drop it if your system is some version of Unix. Other C compilers ought to work as just as well. For example, @example cl *.c -o sketch.exe @end example @noindent is the correct command for many versions of MS Visual C. In the latest versions, Microsoft has deprecated the @code{-o} option and, by default, does not define the @code{__STDC__} macro. This causes problems with some versions of @code{flex}, @code{bison}, @code{lex}, and @code{yacc}, which are used to create the @code{sketch} scanner and parser. It's nearly always possible to find a set of options that compiles with no errors or warnings, and this means @code{sketch} is @emph{very} likely to work correctly. For example, the Visual C++ 2005 Express Edition compiler (available free of charge from the Microsoft web site), @code{flex} version 2.5.4, and @code{bison} version 2.1 build error-free with @example cl -DYY_NEVER_INTERACTIVE=1 -Za -Ox -Fesketch.exe *.c @end example For purists, there is also a @code{makefile} compatible with GNU @code{make} and @code{gcc}. The command @example make @end example @noindent will build the executable, including the rebuilding of the scanner and parser with @code{flex} and @code{bison} if you have changed @file{sketch.l} or @code{sketch.y} respectively. While not essential, building the manual is an excellent test of your @code{sketch} installation. To build this document in all its myriad forms (assuming you have the necessary conversion programs on your system), use @example make docs @end example @noindent The possibilities are listed in this following table. @multitable {@code{manual/index.html}}{texi2dvi,dvips}{@b{Pictures}}{wide column that needs to be as big as it needs to be,} @headitem Format @tab Converter @tab Pictures @tab Description @item manual.info @tab makeinfo @tab @file{.txt} @tab @acronym{GNU} Info. @item manual.dvi @tab texi2dvi @tab @file{.eps} @tab @TeX{} typeset output. @item manual.ps @tab texi2dvi,dvips @tab @file{.eps} @tab Postscript. @item manual.pdf @tab texi2dvi @tab @file{.pdf} @tab Adobe PDF. @item manual.html @tab makeinfo @tab @file{.png} @tab A single web page. @item manual/index.html @tab makeinfo @tab @file{.png} @tab Linked web pages, one per node. @end multitable All the required tools are included in the standard @code{TeX Live} distribution except that an additional open source program @code{epstool} is needed to refine the Encapsulated Postscript bounding boxes of @code{sketch}-generated figures in the manual. This tool is available in binary form for Windows, and it builds easily with a simple @code{make} under linux or Cygwin installations that have development tools installed or under @code{Mac OS X} with @code{XCode} installed. @node Index of syntax, Index, Installing sketch, Top @comment node-name, next, previous, up @unnumbered Index of syntax @printindex sx @node Index, , Index of syntax, Top @comment node-name, next, previous, up @unnumbered Index of concepts @printindex cp @bye sketch-0.3.7/Doc/tags.sk0100644000076400010400000000102211722043476017571 0ustar freddieresslerAdministrators {x000} {x010} {x020} {x030} {x040} {x042} {x045} {x050} {x060} {x070} {x080} {x090} {x100} {x110} {x120} {x130_200} {x130_200} {x130_200} {x130_200} {x130_200} {x130_200} {x130_200} {x210} {x220} {x230} {x240} {x250} {x260}sketch-0.3.7/Doc/Thumbs.db0100644000076400010400000001500011722043476020046 0ustar freddieresslerAdministratorsÐÏࡱá>þÿ þÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿýÿÿÿþÿÿÿþÿÿÿ þÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿRoot Entryÿÿÿÿÿÿÿÿ É8ËÉ€1ÿÿÿÿÿÿÿÿêCatalogÿÿÿÿÿÿÿÿÿÿÿÿ@pÿÿÿÿÿÿÿÿÿÿÿÿ  !"#$%&'()*+,-./0123456789:;<=>?þÿÿÿAþÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿ ÞÿØÿàJFIFxxÿÛC     ÿÛC   ÿÀ``"ÿÄ ÿĵ}!1AQa"q2‘¡#B±ÁRÑð$3br‚ %&'()*456789:CDEFGHIJSTUVWXYZcdefghijstuvwxyzƒ„…†‡ˆ‰Š’“”•–—˜™š¢£¤¥¦§¨©ª²³´µ¶·¸¹ºÂÃÄÅÆÇÈÉÊÒÓÔÕÖ×ØÙÚáâãäåæçèéêñòóôõö÷øùúÿÄ ÿĵw!1AQaq"2B‘¡±Á #3RðbrÑ $4á%ñ&'()*56789:CDEFGHIJSTUVWXYZcdefghijstuvwxyz‚ƒ„…†‡ˆ‰Š’“”•–—˜™š¢£¤¥¦§¨©ª²³´µ¶·¸¹ºÂÃÄÅÆÇÈÉÊÒÓÔÕÖ×ØÙÚâãäåæçèéêòóôõö÷øùúÿÚ ?ýñÏ-ô=ö0ê6ºtã}Bí—ʵÜ2ªV…Î|ÍÕNL|KÓñpûý²ÃÿŒ×C¢Ú@èo±\çÙÍ|wÿÿ_aÿ¥DôpjþÓü/òbÚ'ŸãŸûo™ªB¹Æq›+Q]_ü"Gþ~ÿòÿ^¹M=±ñÄ£þ¢öÿúGk^›^fW–á1õñrÄC™ª’¶­}§Ù£§Z¥(Óäv¼WäŠ,ׂå"ó`Ã#6ï(ñ‚1»ßô¬ÏxHxËD›L¾¸Xâ“‘,bHÛûÊKœ9­m?üCÿ\ßù­O_wõxwø¿Ìò9ßô‘Íh~ ·ðï‡×G°h¡¶Éw(™$rrÎÇw,O_È`-KI6oåC7Úny®vˆãYŽN3‚êO°b: GQ‘'[%_H»²Ã)tÞÿ‘Âõb1À„–Á4íõUšI7yf¿+íå›ò¼œ~UƒÄBUªÁ¹$ìÜ¥Òï¹ÑJ½Hµ½/Ù–¾7ÑKö­¾bÇ—œdgÖ¤ÿ„HÿÏßþBÿëÖƗΙiÿ\SÿAj¹hdléBR¥«K¬»z—k‘ºF‡ÇÞ…ˆ%5…$z‹;‘^›D7˜ø2Ž:(ôãÞ¼ÏRlüLðÀÿ¨­Ïþ’\×Íæùn[ ,<9[« êßÚvÎü-j•cSÞÑ—äIJl|Iñÿ¨½·þ’ZשW”Ú¶>'x„Ô^ÛÿI-kÕ«Õáÿãcëì¿ô¦g^íð¯Éþ²/Äú`³Ÿc­ÔžKŸÝˇ€moN§ 9ÔdÛßnÿF±Oø˜ô–)‡üzú™?çêÜ°ËÕ¼Gicã« yåÞ; 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this is the easy part! sweep[cull=false] { N, [[seg_rot]] } line(p0)(p1) % draw the axes def ax (dx,0,0) def ay (0,dy,0) def az (0,0,dz) line[arrows=<->,linewidth=.4pt](ax)(O)(ay) line[arrows=->,linewidth=.4pt](O)(az) % repeat dotted as an overlay to hint at the hidden lines line[lay=over,linestyle=dotted,linewidth=.4pt](ax)(O)(ay) line[lay=over,linestyle=dotted,linewidth=.4pt](O)(az) % label special|\footnotesize \uput[d]#1{$x$}\uput[u]#2{$y$}\uput[l]#3{$z$}| (ax)(ay)(az) % height measurement mark takes too much code! def c0 (p0) then scale([J]) def hdim_ref unit((p1) - (O)) then [[seg_rot]]^2 def h00 (c0) + 1.1 * [hdim_ref] def h01 (c0) + 1.9 * [hdim_ref] def h02 (c0) + 1.8 * [hdim_ref] line(h00)(h01) def h10 (O) + 1.6 * [hdim_ref] def h11 (O) + 1.9 * [hdim_ref] def h12 (O) + 1.8 * [hdim_ref] line(h10)(h11) line[arrows=<->](h02)(h12) def hm2 ((h02)-(O)+(h12)-(O)) / 2 + (O) special|\footnotesize\rput*#1{$h$}|(hm2) % radius measurement marks def gap [0,.2,0] % first r1 def up1 [0,3.1,0] def r1 ((p1) then [[seg_rot]]^-2) + [up1] def r1c (r1) then scale([J]) def r1t (r1) + [gap] def r1b ((r1t) then scale([1,0,1])) + [gap] line[arrows=<->](r1c)(r1) line(r1b)(r1t) def r1m ((r1) - (O) + (r1c) - (O)) / 2 + (O) special |\footnotesize\rput*#1{$r_1$}|(r1m) % same drill for r0, but must project down first def up0 [0,2.7,0] def r0 ((p0) then scale([1,0,1]) then [[seg_rot]]^-2) + [up0] def r0c (r0) then scale([J]) def r0t (r0) + [gap] def r0b ((p0) then [[seg_rot]]^-2) + [gap] line[arrows=<->](r0c)(r0) line(r0b)(r0t) def r0m ((r0) - (O) + (r0c) - (O)) / 2 + (O) special |\footnotesize\rput*#1{$r_0$}|(r0m) } def labeled_cone { % the "ghost" of the entire cone sweep[linecolor=lightgray,cull=false] { N-1, [[seg_rot]] } line(p0)(p1) % for the highlighted face, we need explicit points def p00 (p0) then [[seg_rot]]^-1 def p10 (p1) then [[seg_rot]]^-1 def p01 (p0) def p11 (p1) polygon[showpoints=true](p00)(p10)(p11)(p01) special|\footnotesize \uput[u]#1{$P_{00}$}\uput[d]#2{$P_{10}$} \uput[u]#3{$P_{01}$}\uput[d]#4{$P_{11}$}| (p00)(p10)(p01)(p11) def mid ((p00)-(O)+(p10)-(O)+(p11)-(O)+(p01)-(O))/4+(O) special|\rput#1{\pscustom{ \scale{1 1.3} \psarc[arrowlength=.5]{->}{.25}{-60}{240}}}| [lay=over](mid) def mid_left ((p00)-(O)+(p10)-(O))/2+(O) def mid_right ((p11)-(O)+(p01)-(O))/2+(O) special|\footnotesize \uput{2pt}[l]#1{$j$}\uput{2pt}[r]#2{$j\hbox{$+$}1$}| (mid_left)(mid_right) def top_lbl (p01) then [[seg_rot]]^2 def bot_lbl (p11) then [[seg_rot]]^2 special|\footnotesize \uput{2pt}[r]#1{$i\hbox{$=$}0$}\uput{2pt}[r]#2{$i\hbox{$=$}1$}| (top_lbl)(bot_lbl) } def cone {labeled_cone} <> {basic_cone} put { view((10,4,2)) } {cone} sketch-0.3.7/Doc/version.texi0100644000076400010400000000033111722043476020656 0ustar freddieresslerAdministrators@comment Produced by makever.pl. Don't edit. @set VER_MAJOR 0 @set VER_MINOR 3 @set VER_BUILD 7 @set UPDATED Friday, February 24, 2012 @set VERSION @value{VER_MAJOR}.@value{VER_MINOR} (build @value{VER_BUILD}) sketch-0.3.7/dynarray.h0100644000076400010400000003014111722043474017573 0ustar freddieresslerAdministrators/* dynarray.h Copyright (C) 2005,2006,2007,2008 Eugene K. Ressler, Jr. This file is part of Sketch, a small, simple system for making 3d drawings with LaTeX and the PSTricks or TikZ package. Sketch 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, or (at your option) any later version. Sketch 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 Sketch; see the file COPYING.txt. If not, see http://www.gnu.org/copyleft */ #ifndef __DYNARRAY #define __DYNARRAY /* dyanamic arrays in C (through preprocessor abuse) parameters: ELEMENT_TYPE - type of elements of dynamic array to be declared NAME - base name used in constructor, destructor, and accessor functions ELTS - field name of C array of elements inside the dynamic array struct N_ELTS - field name for fill pointer, current number of valid elements structure: a dynamic array is a struct with the following fields: current_size - the number of array elements currently allocated to the array N_ELTS - a "fill pointer" that tracks the number of elements that have been pushed onto the array so far; push()ing grows the array automatically ELTS - a pointer to ELEMENT_TYPE with specified name; these are the array elements an example // ---- in foo.h ---- // we need a dynamic array of these things typedef struct foo_t { char *name; int count; } FOO; // create the typedef for the type FOO_ARRAY TYPEDEF_DYNAMIC_ARRAY(FOO_ARRAY, FOO, foo_list, val, n_vals) // no semicolons! // do the prototypes for the constructor, destructor, and accessor functions DECLARE_DYNAMIC_ARRAY_PROTOS(FOO_ARRAY, FOO, foo_list, val, n_vals) // ---- in foo.c ---- // create the bodies for the constructor, destructor, and accessor functions DECLARE_DYNAMIC_ARRAY_FUNCS(FOO_ARRAY, FOO, foo_list, val, n_vals) // use all the new stuff! void do_stuff_with_foos(void) { int i; char buf[100]; FOO_ARRAY list[1]; // or FOO_ARRAY list; but then we're forever &'ing FOO_ARRAY copy[1]; init_foo_list(list); // do this JUST ONCE right after declaration init_foo_list(copy); // (not necessary for static/global decls) setup_foo_list(list, 10); // allow for 10 elements // read some data and push it on the list tail while (scanf("%d %s", &i, buf) == 2) { // get pointer to new (empty) element at the end of array FOO *p = pushed_foo_list_val(list); // fill in field values p->name = strdup(buf); p->count = i; } // shows unsafe access to elements printf("forward listing:\n"); for (i = 0; i < list->n_val; i++) printf("name=%s count=%d (%d)\n", list->val[i].name, // fast unsafe access foo_list_val_ptr(list, i)->count, // slower safe pointer access foo_list_val(list, i).count); // copying access copy_foo_list_filled(copy, list); // copies only filled elements // print in reverse order by popping from tail printf("backward listing:\n"); while (copy->n_val > 0) { FOO *p = popped_foo_list_val(copy); printf("name=%s count=%d\n", p->name, p->count); } // clear out all the allocated storage for the ilst clear_foo_list(list); clear_foo_list(copy); } notes on the example: * NAME (foo_list) must be unique in the namespace to avoid collisions * ELTS need not be unique * the declaration FOO_ARRAY list[1]; is an idiom that avoids lots of &'s in the rest of the code; feel free to use FOO_ARRAY list; if you like &'s * init_foo_list() is not needed on static or global declarations because it merely sets things to zero * the call pushed_foo_list_val() grows the list automatically to accomodate more than 10 elements; arrays grow (never shrink) until they are clear()ed; the fill pointer is foo_list->n_val * safe copying access is good for reading small elements; pointer access is for writing elements and for reading within large struct elements * copy_foo_list_filled() copies only n_val elements after ensuring there is enough space in the destination; copy_foo_list() does the same thing for all current_size elements; it ignores the fill pointer except to copy its value macros: TYPEDEF_DYNAMIC_ARRAY(ELEMENT_TYPE, NAME, ELTS) - declare a typedef for a new dyamic array type with the given attributes */ #include #include "error.h" #define DYNAMIC_ARRAY_FIELDS(ELEMENT_TYPE, ELTS, N_ELTS) \ int current_size, N_ELTS; \ ELEMENT_TYPE *ELTS #define DECLARE_DYNAMIC_ARRAY_PROTOS(ARRAY_TYPE, ELEMENT_TYPE, NAME, ELTS, N_ELTS) \ void init_##NAME(ARRAY_TYPE *a); \ ARRAY_TYPE *new_##NAME(int size); \ void delete_##NAME(ARRAY_TYPE *a); \ void setup_##NAME(ARRAY_TYPE *a, int size); \ void extend_##NAME(ARRAY_TYPE *a, int new_size); \ ELEMENT_TYPE *pushed_##NAME##_##ELTS(ARRAY_TYPE *a); \ ELEMENT_TYPE *popped_##NAME##_##ELTS(ARRAY_TYPE *a); \ void copy_##NAME(ARRAY_TYPE *dst, ARRAY_TYPE *src); \ void copy_filled_##NAME(ARRAY_TYPE *dst, ARRAY_TYPE *src); \ void reverse_copy_##NAME(ARRAY_TYPE *dst, ARRAY_TYPE *src); \ void clear_##NAME(ARRAY_TYPE *a); \ ELEMENT_TYPE *NAME##_##ELTS##_ptr(ARRAY_TYPE *a, int i); \ ELEMENT_TYPE NAME##_##ELTS(ARRAY_TYPE *a, int i) // use this for OTHER_INIT parameter when there is none #define NO_OTHER_INIT /**/ #define DECLARE_DYNAMIC_ARRAY_FUNCS(ARRAY_TYPE, ELEMENT_TYPE, NAME, ELTS, N_ELTS, OTHER_INIT) \ \ /* initialize raw array record */ \ void init_##NAME(ARRAY_TYPE *a) \ { \ a->current_size = a->N_ELTS = 0; \ a->ELTS = 0; \ OTHER_INIT \ } \ \ /* allocate an array dynamically and initialize it */ \ ARRAY_TYPE *new_##NAME(int size) \ { \ ARRAY_TYPE *a = safe_malloc(sizeof(ARRAY_TYPE)); \ init_##NAME(a); \ setup_##NAME(a, size); \ return a; \ } \ \ void delete_##NAME(ARRAY_TYPE *a) \ { \ if (!a) return; \ clear_##NAME(a); \ safe_free(a); \ } \ /* set up (or increase size of existing) initialized array with given size */ \ void setup_##NAME(ARRAY_TYPE *a, int size) \ { \ if (size > a->current_size) { \ a->ELTS = safe_realloc(a->ELTS, size * sizeof(ELEMENT_TYPE)); \ a->current_size = size; \ } \ } \ \ void extend_##NAME(ARRAY_TYPE *a, int new_size) \ { \ int actual_new_size = a->current_size; \ if (actual_new_size <= 0) actual_new_size = 1; \ while (actual_new_size < new_size) \ actual_new_size *= 2; \ setup_##NAME(a, actual_new_size); \ } \ ELEMENT_TYPE *pushed_##NAME##_##ELTS(ARRAY_TYPE *a) \ { \ extend_##NAME(a, a->N_ELTS + 1); \ return &a->ELTS[a->N_ELTS++]; \ } \ \ ELEMENT_TYPE *popped_##NAME##_##ELTS(ARRAY_TYPE *a) \ { \ if (a->N_ELTS <= 0) \ die(no_line, "popped_" #NAME "_" #ELTS ": no elements to pop"); \ return &a->ELTS[--a->N_ELTS]; \ } \ \ void copy_##NAME(ARRAY_TYPE *dst, ARRAY_TYPE *src) \ { \ extend_##NAME(dst, src->current_size); \ dst->N_ELTS = src->N_ELTS; \ memcpy(dst->ELTS, src->ELTS, src->current_size * sizeof(ELEMENT_TYPE)); \ } \ \ void copy_##NAME##_filled(ARRAY_TYPE *dst, ARRAY_TYPE *src) \ { \ extend_##NAME(dst, src->N_ELTS); \ dst->N_ELTS = src->N_ELTS; \ memcpy(dst->ELTS, src->ELTS, src->N_ELTS * sizeof(ELEMENT_TYPE)); \ } \ \ void reverse_copy_##NAME(ARRAY_TYPE *dst, ARRAY_TYPE *src) \ { \ int i, j; \ extend_##NAME(dst, src->N_ELTS); \ dst->N_ELTS = src->N_ELTS; \ for (i = 0, j = dst->N_ELTS - 1; j >= 0; i++, j--) \ dst->ELTS[j] = src->ELTS[i]; \ } \ \ void clear_##NAME(ARRAY_TYPE *a) \ { \ safe_free(a->ELTS); \ init_##NAME(a); \ } \ \ ELEMENT_TYPE *NAME##_##ELTS##_ptr(ARRAY_TYPE *a, int i) \ { \ if (i < 0 || i >= a->N_ELTS) \ die(no_line, #NAME "_elt_ptr: " #ELEMENT_TYPE "_ARRAY reference [%d] out of bounds", i); \ return &a->ELTS[i]; \ } \ \ ELEMENT_TYPE NAME##_##ELTS(ARRAY_TYPE *a, int i) \ { \ if (i < 0 || i >= a->N_ELTS) \ die(no_line, #NAME "_elt: " #ELEMENT_TYPE "_ARRAY reference [%d] out of bounds", i); \ return a->ELTS[i]; \ } \ void init_##NAME(ARRAY_TYPE *a) // ---- dyanmic arrays of elements that are static one-dimensional arrays ------ // this is meant to be identical to the above except to compensate for C's strange // quirks regarding arrays of arrays #define DYNAMIC_2D_ARRAY_FIELDS(ELEMENT_TYPE, ELTS, N_ELTS) \ int current_size, N_ELTS; \ ELEMENT_TYPE *ELTS #define DECLARE_DYNAMIC_2D_ARRAY_PROTOS(ARRAY_TYPE, ELEMENT_TYPE, SUB_ELEMENT_TYPE, NAME, ELTS, N_ELTS) \ void init_##NAME(ARRAY_TYPE *a); \ ARRAY_TYPE *new_##NAME(int size); \ void delete_##NAME(ARRAY_TYPE *a); \ void setup_##NAME(ARRAY_TYPE *a, int size); \ void extend_##NAME(ARRAY_TYPE *a, int new_size); \ SUB_ELEMENT_TYPE *pushed_##NAME##_##ELTS(ARRAY_TYPE *a); \ SUB_ELEMENT_TYPE *popped_##NAME##_##ELTS(ARRAY_TYPE *a); \ void copy_##NAME(ARRAY_TYPE *dst, ARRAY_TYPE *src); \ void copy_##NAME##_filled(ARRAY_TYPE *dst, ARRAY_TYPE *src); \ void reverse_copy_##NAME(ARRAY_TYPE *dst, ARRAY_TYPE *src); \ void clear_##NAME(ARRAY_TYPE *a); \ SUB_ELEMENT_TYPE *NAME##_##ELTS(ARRAY_TYPE *a, int i); \ SUB_ELEMENT_TYPE NAME##_##ELTS##_elt(ARRAY_TYPE *a, int i, int j) #define DECLARE_DYNAMIC_2D_ARRAY_FUNCS(ARRAY_TYPE, ELEMENT_TYPE, SUB_ELEMENT_TYPE, NAME, ELTS, N_ELTS, OTHER_INIT) \ \ /* initialize raw array record */ \ void init_##NAME(ARRAY_TYPE *a) \ { \ a->current_size = a->N_ELTS = 0; \ a->ELTS = 0; \ OTHER_INIT \ } \ \ /* allocate an array dynamically and initialize it */ \ ARRAY_TYPE *new_##NAME(int size) \ { \ ARRAY_TYPE *a = safe_malloc(sizeof(ARRAY_TYPE)); \ init_##NAME(a); \ setup_##NAME(a, size); \ return a; \ } \ \ void delete_##NAME(ARRAY_TYPE *a) \ { \ if (!a) return; \ clear_##NAME(a); \ safe_free(a); \ } \ \ /* set up (or increase size of existing) initialized array with given size */ \ void setup_##NAME(ARRAY_TYPE *a, int size) \ { \ if (size > a->current_size) { \ a->ELTS = safe_realloc(a->ELTS, size * sizeof(ELEMENT_TYPE)); \ a->current_size = size; \ } \ } \ \ void extend_##NAME(ARRAY_TYPE *a, int new_size) \ { \ int actual_new_size = a->current_size; \ if (actual_new_size <= 0) actual_new_size = 1; \ while (actual_new_size < new_size) \ actual_new_size *= 2; \ setup_##NAME(a, actual_new_size); \ } \ \ SUB_ELEMENT_TYPE *pushed_##NAME##_##ELTS(ARRAY_TYPE *a) \ { \ extend_##NAME(a, a->N_ELTS + 1); \ return a->ELTS[a->N_ELTS++]; \ } \ \ SUB_ELEMENT_TYPE *popped_##NAME##_##ELTS(ARRAY_TYPE *a) \ { \ if (a->N_ELTS <= 0) \ die(no_line, "popped_" #NAME "_" #ELTS ": no elements to pop"); \ return a->ELTS[--a->N_ELTS]; \ } \ \ void copy_##NAME(ARRAY_TYPE *dst, ARRAY_TYPE *src) \ { \ extend_##NAME(dst, src->current_size); \ dst->N_ELTS = src->N_ELTS; \ memcpy(dst->ELTS, src->ELTS, src->current_size * sizeof(ELEMENT_TYPE)); \ } \ \ void copy_filled_##NAME(ARRAY_TYPE *dst, ARRAY_TYPE *src) \ { \ extend_##NAME(dst, src->N_ELTS); \ dst->N_ELTS = src->N_ELTS; \ memcpy(dst->ELTS, src->ELTS, src->N_ELTS * sizeof(ELEMENT_TYPE)); \ } \ \ void reverse_copy_##NAME(ARRAY_TYPE *dst, ARRAY_TYPE *src) \ { \ int i, j; \ extend_##NAME(dst, src->N_ELTS); \ dst->N_ELTS = src->N_ELTS; \ for (i = 0, j = dst->N_ELTS - 1; j >= 0; i++, j--) \ memcpy(dst->ELTS[j], src->ELTS[i], sizeof dst->ELTS[0]); \ } \ \ void clear_##NAME(ARRAY_TYPE *a) \ { \ safe_free(a->ELTS); \ init_##NAME(a); \ } \ \ SUB_ELEMENT_TYPE *NAME##_##ELTS(ARRAY_TYPE *a, int i) \ { \ if (i < 0 || i > a->N_ELTS) \ die(no_line, #NAME "_elt: " #ELEMENT_TYPE "_ARRAY reference out of bounds"); \ return a->ELTS[i]; \ } \ \ SUB_ELEMENT_TYPE NAME##_##ELTS##_elt(ARRAY_TYPE *a, int i, int j) \ { \ if (i < 0 || i >= a->N_ELTS || j < 0 || j >= sizeof(ELEMENT_TYPE) / sizeof(SUB_ELEMENT_TYPE)) \ die(no_line, #NAME "_subelt: " #ELEMENT_TYPE "_ARRAY reference [%d][%d] out of bounds", i, j); \ return a->ELTS[i][j]; \ } \ void init_##NAME(ARRAY_TYPE *a) #endif sketch-0.3.7/emit.c0100644000076400010400000005661511722043474016711 0ustar freddieresslerAdministrators/* emit.c Copyright (C) 2005,2006,2007,2008 Eugene K. Ressler, Jr. This file is part of Sketch, a small, simple system for making 3d drawings with LaTeX and the PSTricks or TikZ package. Sketch 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, or (at your option) any later version. Sketch 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 Sketch; see the file COPYING.txt. If not, see http://www.gnu.org/copyleft */ #include #include "emit.h" #include "scene.h" #include "version.h" // ---- emit output ----------------------------------------------------------- char standard_us_doc_template_file_name_flag[] = ""; char standard_euro_doc_template_file_name_flag[] = ""; // concise floating point output // idea of %g but with fixed rather than relative precision // removing excessive 0's often reduces output file size dramatically // and also eases reading char *flt_str_fmt(char *fmt, char *buf, double f) { size_t i; sprintf(buf, fmt, f); // trim off useless zeros and decimals for (i = strlen(buf); i > 0 && buf[i - 1] == '0'; i--) /* skip */ ; if (i > 0 && buf[i - 1] == '.') i--; buf[i] = '\0'; // remove leading zeros before decimal if (buf[0] == '0' && buf[1] == '.') for (i = 0; (buf[i] = buf[i + 1]) != '\0'; i++) /* skip */ ; else if (buf[0] == '-' && buf[1] == '0' && buf[2] == '.') for (i = 1; (buf[i] = buf[i + 1]) != '\0'; i++) /* skip */ ; // fix -0 if (strcmp(buf, "-0") == 0) strcpy(buf, "0"); return buf; } char *flt_str(char *buf, double f) { return flt_str_fmt("%.3f", buf, f); } // TikZ only does integer angles char *fmt_angle_tikz(char *buf, double theta, SRC_LINE line) { int i_theta = (int) ((theta >= 0) ? (theta + 0.5) : (theta - 0.5)); double err = theta - i_theta; if (fabs(err) >= 0.1) warn(line, "TikZ angle rounding error is %.2 degrees", err); return flt_str_fmt("%1.f", buf, theta); } char *fmt_angle_pst(char *buf, double theta, SRC_LINE line) { return flt_str(buf, theta); } typedef char *(*FMT_ANGLE_FUNC) (char *buf, double theta, SRC_LINE line); FMT_ANGLE_FUNC fmt_angle_tbl[] = { fmt_angle_pst, fmt_angle_tikz, fmt_angle_pst, fmt_angle_tikz, }; #define SA_SCALAR_BIT (1 << SA_SCALAR) #define SA_POINT_BIT (1 << SA_POINT) #define SA_VECTOR_BIT (1 << SA_VECTOR) SPECIAL_ARG *range_check(SPECIAL_OBJECT * special, int *p, int types, SRC_LINE line) { int i = *p; if (1 <= i && i <= special->args->n_args) { SPECIAL_ARG *arg = &special->args->arg[i - 1]; if (arg->tag == SA_SCALAR && (types & SA_SCALAR_BIT) == 0) err(line, "reference to special arg %d cannot accept a scalar", i); if (arg->tag == SA_POINT && (types & SA_POINT_BIT) == 0) err(line, "reference to special arg %d cannot accept a point", i); if (arg->tag == SA_VECTOR && (types & SA_VECTOR_BIT) == 0) err(line, "reference to special arg %d cannot accept a vector", i); return arg; } err(line, "reference to special arg %d: out of range [1-%d]", i, special->args->n_args); *p = i = (i < 1) ? 1 : special->args->n_args; return &special->args->arg[i - 1]; } static int process_special_arg(FILE * f, SPECIAL_OBJECT * special, int p, SRC_LINE line) { char tic, buf1[16], buf2[16], buf3[16]; int i1, i2, len; FLOAT *v1, *v2; SPECIAL_ARG *arg1, *arg2; // try #, two-arg cases, then one with tic, then one, then assume zero if (special->code[p] == '#') { if (f) fprintf(f, "#"); len = 1; } else if (sscanf(&special->code[p], "%d-%d%n", &i1, &i2, &len) >= 2 || sscanf(&special->code[p], "{%d-%d}%n", &i1, &i2, &len) >= 2) { arg1 = range_check(special, &i1, SA_POINT_BIT, line); arg2 = range_check(special, &i2, SA_POINT_BIT, line); v1 = arg1->val.pt; v2 = arg2->val.pt; if (f) fprintf(f, "{%s}", (*fmt_angle_tbl[global_env->output_language]) (buf1, 180 / PI * atan2(v2[Y] - v1[Y], v2[X] - v1[X]), line)); } else if (sscanf(&special->code[p], "%d'%c%n", &i1, &tic, &len) >= 2) { arg1 = range_check(special, &i1, (SA_POINT_BIT | SA_VECTOR_BIT), line); v1 = (arg1->tag == SA_POINT) ? arg1->val.pt : arg1->val.v; switch (tic) { case 'x': case 'y': case 'z': if (f) fprintf(f, "%s", flt_str(buf1, v1[tic - 'x'])); break; case '2': if (f) fprintf(f, "(%s,%s)", flt_str(buf1, v1[X]), flt_str(buf2, v1[Y])); break; case '3': if (f) fprintf(f, "(%s,%s,%s)", flt_str(buf1, v1[X]), flt_str(buf2, v1[Y]), flt_str(buf3, v1[Z])); break; default: if (f) fprintf(f, "(%s,%s)'%c", flt_str(buf1, v1[X]), flt_str(buf2, v1[Y]), tic); else warn(line, "bad tick option character in #%d'%c (try #{%d}'%c)", i1, tic, i1, tic); break; } } else if (sscanf(&special->code[p], "%d%n", &i1, &len) >= 1 || sscanf(&special->code[p], "{%d}%n", &i1, &len) >= 1) { // simple single arg can be scalar or point arg1 = range_check(special, &i1, (SA_SCALAR_BIT | SA_POINT_BIT | SA_VECTOR_BIT), line); switch (arg1->tag) { case SA_SCALAR: if (f) fprintf(f, "%s", flt_str(buf1, arg1->val.flt)); break; case SA_POINT: case SA_VECTOR: v1 = (arg1->tag == SA_POINT) ? arg1->val.pt : arg1->val.v; if (f) fprintf(f, "(%s,%s)", flt_str(buf1, v1[X]), flt_str(buf2, v1[Y])); break; default: die(line, "unknown special arg from flatten"); break; } } else { len = 0; if (f) fprintf(f, "#"); else warn(line, "use of '#' not as special arg (try ##)"); } return p + len; } void process_special(FILE * f, SPECIAL_OBJECT * special, SRC_LINE line) { int p, q; // print stretches of code between args and call the // arg processor to take care of them p = q = 0; while (special->code[p] != '\0') { if (special->code[p] == '#') { if (f) fprintf(f, "%.*s", p - q, &special->code[q]); p = q = process_special_arg(f, special, p + 1, line); } else { p++; } } if (f) fprintf(f, "%.*s", p - q, &special->code[q]); } static void emit_points_pst(FILE * f, POINT_LIST_3D * pts) { int i; char buf1[16], buf2[16]; for (i = 0; i < pts->n_pts; i++) fprintf(f, "(%s,%s)", flt_str(buf1, pts->v[i][X]), flt_str(buf2, pts->v[i][Y])); } static void emit_dots_pst(FILE * f, OBJECT * obj) { DOTS_OBJECT *dots = (DOTS_OBJECT *) obj; fprintf(f, "\\psdots"); emit_opts(f, dots->opts, global_env->output_language); emit_points_pst(f, dots->pts); fprintf(f, "\n"); } static void emit_line_pst(FILE * f, OBJECT * obj) { LINE_OBJECT *line = (LINE_OBJECT *) obj; fprintf(f, "\\psline"); emit_opts(f, line->opts, global_env->output_language); emit_points_pst(f, line->pts); fprintf(f, "\n"); } static void emit_curve_pst(FILE * f, OBJECT * obj) { CURVE_OBJECT *curve = (CURVE_OBJECT *) obj; fprintf(f, "\\pscurve"); emit_opts(f, curve->opts, global_env->output_language); emit_points_pst(f, curve->pts); fprintf(f, "\n"); } static void emit_polygon_pst(FILE * f, OBJECT * obj) { POLYGON_OBJECT *poly = (POLYGON_OBJECT *) obj; fprintf(f, "\\pspolygon"); emit_opts(f, poly->opts, global_env->output_language); emit_points_pst(f, poly->pts); fprintf(f, "\n"); } static void emit_special_pst(FILE * f, OBJECT * obj) { process_special(f, (SPECIAL_OBJECT *) obj, no_line); } typedef void (*EMIT_FUNC) (FILE * f, OBJECT *); static EMIT_FUNC emit_tbl_pst[] = { NULL, // O_BASE NULL, // O_TAG_DEF NULL, // O_OPTS_DEF NULL, // O_SCALAR_DEF NULL, // O_POINT_DEF NULL, // O_VECTOR_DEF NULL, // O_TRANSFORM_DEF emit_dots_pst, emit_line_pst, emit_curve_pst, emit_polygon_pst, emit_special_pst, NULL, // O_SWEEP (flattened) NULL, // O_REPEAT (flattened) NULL, // O_COMPOUND (flattened) }; static void emit_points_tkz(FILE * f, POINT_LIST_3D * pts, char *twixt, char *final) { int i; char buf1[16], buf2[16]; for (i = 0; i < pts->n_pts; i++) fprintf(f, "(%s,%s)%s", flt_str(buf1, pts->v[i][X]), flt_str(buf2, pts->v[i][Y]), (i == pts->n_pts - 1) ? final : twixt); } static void emit_dots_tkz(FILE * f, OBJECT * obj) { static char *skip[] = { "dotsize", NULL }; char *dotsize, *cmd; DOTS_OBJECT *dots = (DOTS_OBJECT *) obj; // An ugly hack because TikZ uses special syntax for circles... dotsize = opt_val(dots->opts, "dotsize"); if (dotsize == NULL) dotsize = "2pt"; cmd = safe_malloc(strlen(dotsize) + 100); sprintf(cmd, " circle (%s)", dotsize); fprintf(f, "\\filldraw"); emit_opts_with_exceptions(f, dots->opts, skip, global_env->output_language); emit_points_tkz(f, dots->pts, cmd, cmd); fprintf(f, ";\n"); safe_free(cmd); } static void emit_line_tkz(FILE * f, OBJECT * obj) { LINE_OBJECT *line = (LINE_OBJECT *) obj; fprintf(f, "\\draw"); emit_opts(f, line->opts, global_env->output_language); emit_points_tkz(f, line->pts, "--", ""); fprintf(f, ";\n"); } static void emit_curve_tkz(FILE * f, OBJECT * obj) { CURVE_OBJECT *curve = (CURVE_OBJECT *) obj; fprintf(f, "\\curve"); emit_opts(f, curve->opts, global_env->output_language); emit_points_tkz(f, curve->pts, "--", ""); fprintf(f, ";\n"); } static void emit_polygon_tkz(FILE * f, OBJECT * obj) { POLYGON_OBJECT *poly = (POLYGON_OBJECT *) obj; fprintf(f, "\\filldraw"); emit_opts(f, poly->opts, global_env->output_language); emit_points_tkz(f, poly->pts, "--", "--cycle"); fprintf(f, ";\n"); } static void emit_special_tkz(FILE * f, OBJECT * obj) { process_special(f, (SPECIAL_OBJECT *) obj, no_line); } static EMIT_FUNC emit_tbl_tkz[] = { NULL, // O_BASE NULL, // O_TAG_DEF NULL, // O_OPTS_DEF NULL, // O_SCALAR_DEF NULL, // O_POINT_DEF NULL, // O_VECTOR_DEF NULL, // O_TRANSFORM_DEF emit_dots_tkz, emit_line_tkz, emit_curve_tkz, emit_polygon_tkz, emit_special_tkz, NULL, // O_SWEEP (flattened) NULL, // O_REPEAT (flattened) NULL, // O_COMPOUND (flattened) }; static EMIT_FUNC *emit_tbl_tbl[] = { emit_tbl_pst, emit_tbl_tkz, emit_tbl_pst, emit_tbl_tkz, }; #define DOC_TEMPLATE_ESCAPE_STRING "%%SKETCH_OUTPUT%%" #define DOC_TEMPLATE_ESCAPE_STRING_LEN (sizeof(DOC_TEMPLATE_ESCAPE_STRING) - 1) char standard_us_doc_template_tikz_latex[] = "\\documentclass[letterpaper,12pt]{article}\n" "\\usepackage[x11names,rgb]{xcolor}\n" "\\usepackage{tikz}\n" "\\usetikzlibrary{snakes}\n" "\\usetikzlibrary{arrows}\n" "\\usetikzlibrary{shapes}\n" "\\usetikzlibrary{backgrounds}\n" "\\usepackage{amsmath}\n" "\\oddsidemargin 0in\n" "\\evensidemargin 0in\n" "\\topmargin 0in\n" "\\headheight 0in\n" "\\headsep 0in\n" "\\textheight 9in\n" "\\textwidth 6.5in\n" "\\begin{document}\n" "\\pagestyle{empty}\n" "\\vspace*{\\fill}\n" "\\begin{center}\n" DOC_TEMPLATE_ESCAPE_STRING "\n" "\\end{center}\n" "\\vspace*{\\fill}\n" "\\end{document}\n"; char standard_euro_doc_template_tikz_latex[] = "\\documentclass[a4paper,12pt]{article}\n" "\\usepackage[x11names,rgb]{xcolor}\n" "\\usepackage{tikz}\n" "\\usetikzlibrary{snakes}\n" "\\usetikzlibrary{arrows}\n" "\\usetikzlibrary{shapes}\n" "\\usetikzlibrary{backgrounds}\n" "\\usepackage{amsmath}\n" "\\oddsidemargin -10mm\n" "\\evensidemargin -10mm\n" "\\topmargin 5mm\n" "\\headheight 0cm\n" "\\headsep 0cm\n" "\\textheight 247mm\n" "\\textwidth 160mm\n" "\\begin{document}\n" "\\pagestyle{empty}\n" "\\vspace*{\\fill}\n" "\\begin{center}\n" DOC_TEMPLATE_ESCAPE_STRING "\n" "\\end{center}\n" "\\vspace*{\\fill}\n" "\\end{document}\n"; char standard_us_doc_template_pst_latex[] = "\\documentclass[letterpaper,12pt]{article}\n" "\\usepackage{amsmath}\n" "\\usepackage{pstricks}\n" "\\usepackage{pstricks-add}\n" "\\oddsidemargin 0in\n" "\\evensidemargin 0in\n" "\\topmargin 0in\n" "\\headheight 0in\n" "\\headsep 0in\n" "\\textheight 9in\n" "\\textwidth 6.5in\n" "\\begin{document}\n" "\\pagestyle{empty}\n" "\\vspace*{\\fill}\n" "\\begin{center}\n" DOC_TEMPLATE_ESCAPE_STRING "\n" "\\end{center}\n" "\\vspace*{\\fill}\n" "\\end{document}\n"; char standard_euro_doc_template_pst_latex[] = "\\documentclass[a4paper,12pt]{article}\n" "\\usepackage{amsmath}\n" "\\usepackage{pstricks}\n" "\\usepackage{pstricks-add}\n" "\\oddsidemargin -10mm\n" "\\evensidemargin -10mm\n" "\\topmargin 5mm\n" "\\headheight 0cm\n" "\\headsep 0cm\n" "\\textheight 247mm\n" "\\textwidth 160mm\n" "\\begin{document}\n" "\\pagestyle{empty}\n" "\\vspace*{\\fill}\n" "\\begin{center}\n" DOC_TEMPLATE_ESCAPE_STRING "\n" "\\end{center}\n" "\\vspace*{\\fill}\n" "\\end{document}\n"; /* ---------------------------------------------------------------------- */ char standard_us_doc_template_tikz_context[] = "\\usemodule[tikz] \\usetikzlibrary[snakes,arrows,shapes,backgrounds]\n" "\\setuppapersize[letter][letter]\n" "\\setuplayout[topspace=0in,backspace=0in,header=0in,footer=0in,height=middle,width=middle]\n" "\\setuppagenumbering[state=stop] % no page numbers\n" "\\starttext\n" "\\startalignment[middle]\n" DOC_TEMPLATE_ESCAPE_STRING "\n" "\\stopalignment\n" "\\stoptext\n"; char standard_euro_doc_template_tikz_context[] = "\\usemodule[tikz] \\usetikzlibrary[snakes,arrows,shapes,backgrounds]\n" "\\setuppapersize[a4][a4]\n" "\\setuplayout[topspace=0cm,backspace=0cm,header=0cm,footer=0cm,height=middle,width=middle]\n" "\\setuppagenumbering[state=stop] % no page numbers\n" "\\starttext\n" "\\startalignment[middle]\n" DOC_TEMPLATE_ESCAPE_STRING "\n" "\\stopalignment\n" "\\stoptext\n"; char standard_us_doc_template_pst_context[] = "PSTricks does not work with ConTeXt as of 1 Feb 2008.\n"; char standard_euro_doc_template_pst_context[] = "PSTricks does not work with ConTeXt as of 1 Feb 2008.\n"; char *standard_us_doc_template[] = { standard_us_doc_template_pst_latex, standard_us_doc_template_tikz_latex, standard_us_doc_template_pst_context, standard_us_doc_template_tikz_context, }; char *standard_euro_doc_template[] = { standard_euro_doc_template_pst_latex, standard_euro_doc_template_tikz_latex, standard_euro_doc_template_pst_context, standard_euro_doc_template_tikz_context, }; char *read_file_as_string(FILE * f) { size_t len = 0; int buf_size = 1024; char *buf = safe_malloc(buf_size + 1); for (;;) { len += fread(buf + len, 1, buf_size - len, f); if (feof(f) || ferror(f)) { buf[len] = '\0'; return buf; } buf_size *= 2; buf = safe_realloc(buf, buf_size + 1); } } char *doc_template_from_file(char *file_name, int output_language) { FILE *f; char *r; if (file_name == NULL) return NULL; if (file_name == standard_us_doc_template_file_name_flag) return safe_strdup(standard_us_doc_template[output_language]); if (file_name == standard_euro_doc_template_file_name_flag) return safe_strdup(standard_euro_doc_template[output_language]); f = fopen(file_name, "r"); if (!f) { err(no_line, "can't open document template '%s%' for input\n", file_name); return safe_strdup(standard_us_doc_template_pst_latex); } r = read_file_as_string(f); fclose(f); return r; } void emit_preamble_pst_latex(FILE * f, BOX_3D * ext, GLOBAL_ENV * env) { char buf1[16], buf2[16], buf3[16], buf4[16]; if (global_env_is_set_p(env, GE_OPTS)) { fprintf(f, "\\psset{"); emit_opts_raw(f, env->opts, global_env->output_language); fprintf(f, "}\n"); } if (global_env_is_set_p(env, GE_FRAME)) { if (env->frame_opts) fprintf(f, "\\psframebox[%s]{", env->frame_opts); else fprintf(f, "\\psframebox[framesep=0pt]{"); } fprintf(f, "\\begin{pspicture%s}", global_env_is_set_p(env, GE_EXTENT) ? "*" : ""); if (global_env_is_set_p(env, GE_BASELINE)) fprintf(f, "[%s]", flt_str(buf1, env->baseline)); fprintf(f, "(%s,%s)(%s,%s)\n", flt_str(buf1, ext->min[X]), flt_str(buf2, ext->min[Y]), flt_str(buf3, ext->max[X]), flt_str(buf4, ext->max[Y])); if (cmp_with_global_pst_version (env, STRINGIFY(PST_LINEJOIN_VERSION), no_line) < 0) { // old way to set linejoin fprintf(f, "\\pstVerb{1 setlinejoin}\n"); } else { fprintf(f, "%% If your PSTricks is earlier than Version " STRINGIFY(PST_LINEJOIN_VERSION) ", it will fail here.\n" "%% Use sketch -V option for backward compatibility.\n" "\\psset{linejoin=1}\n"); } } void emit_preamble_tkz_latex(FILE * f, BOX_3D * ext, GLOBAL_ENV * env) { char buf1[16], buf2[16], buf3[16], buf4[16]; if (global_env_is_set_p(env, GE_FRAME)) { if (env->frame_opts) warn(no_line, "frame options [%s] ignored (TikZ)", env->frame_opts); else { fprintf(f, "{\\fboxsep=0pt\\fbox{"); warn(no_line, "remove frame around TikZ/PGF pictures for debugging"); } } if (cmp_with_global_tikz_version (env, STRINGIFY(TIKZ_DECORATIONS_VERSION), no_line) >= 0) { remark(no_line, "TikZ warning about deprecated decorations library is okay to ignore"); } fprintf(f, "\\begin{tikzpicture}[line join=round"); if (global_env_is_set_p(env, GE_OPTS)) { fprintf(f, ","); emit_opts_raw(f, env->opts, global_env->output_language); } if (global_env_is_set_p(env, GE_BASELINE)) { fprintf(f, ","); fprintf(f, "baseline=%s", flt_str(buf1, env->baseline)); } fprintf(f, "]\n"); if (global_env_is_set_p(env, GE_EXTENT)) { flt_str(buf1, ext->min[X]); flt_str(buf2, ext->min[Y]); flt_str(buf3, ext->max[X]); flt_str(buf4, ext->max[Y]); fprintf(f, "\\useasboundingbox(%s,%s) rectangle (%s,%s);\n" "\\clip(%s,%s) rectangle (%s,%s);\n", buf1, buf2, buf3, buf4, buf1, buf2, buf3, buf4); } } // ----------------------------------------------------------------- void emit_preamble_pst_context(FILE * f, BOX_3D * ext, GLOBAL_ENV * env) { char buf1[16], buf2[16], buf3[16], buf4[16]; if (global_env_is_set_p(env, GE_OPTS)) { fprintf(f, "\\psset{"); emit_opts_raw(f, env->opts, global_env->output_language); fprintf(f, "}\n"); } fprintf(f, "%% ConTeXt does not yet support PSTricks.\n" "%% This is a guess at what the syntax might be.\n"); if (global_env_is_set_p(env, GE_FRAME)) { if (env->frame_opts) fprintf(f, "\\psframebox[%s]{", env->frame_opts); else fprintf(f, "\\psframebox[framesep=0pt]{"); } fprintf(f, "\\startpspicture%s", global_env_is_set_p(env, GE_EXTENT) ? "*" : ""); if (global_env_is_set_p(env, GE_BASELINE)) fprintf(f, "[%s]", flt_str(buf1, env->baseline)); fprintf(f, "(%s,%s)(%s,%s)\n", flt_str(buf1, ext->min[X]), flt_str(buf2, ext->min[Y]), flt_str(buf3, ext->max[X]), flt_str(buf4, ext->max[Y])); fprintf(f, "\\pstVerb{1 setlinejoin}\n"); } void emit_preamble_tkz_context(FILE * f, BOX_3D * ext, GLOBAL_ENV * env) { char buf1[16], buf2[16], buf3[16], buf4[16]; if (global_env_is_set_p(env, GE_FRAME)) { if (env->frame_opts) warn(no_line, "frame options [%s] ignored (TikZ)", env->frame_opts); else { fprintf(f, "{\\fboxsep=0pt\\fbox{"); warn(no_line, "remove frame around TikZ/PGF pictures for debugging"); } } fprintf(f, "\\starttikzpicture[join=round"); if (global_env_is_set_p(env, GE_OPTS)) { fprintf(f, ","); emit_opts_raw(f, env->opts, global_env->output_language); } if (global_env_is_set_p(env, GE_BASELINE)) { fprintf(f, ","); fprintf(f, "baseline=%s", flt_str(buf1, env->baseline)); } fprintf(f, "]\n"); if (global_env_is_set_p(env, GE_EXTENT)) { flt_str(buf1, ext->min[X]); flt_str(buf2, ext->min[Y]); flt_str(buf3, ext->max[X]); flt_str(buf4, ext->max[Y]); fprintf(f, "\\useasboundingbox(%s,%s) rectangle (%s,%s);\n" "\\clip(%s,%s) rectangle (%s,%s);\n", buf1, buf2, buf3, buf4, buf1, buf2, buf3, buf4); } } typedef void (*EMIT_PREAMBLE_FUNC) (FILE * f, BOX_3D * ext, GLOBAL_ENV * env); EMIT_PREAMBLE_FUNC emit_preamble_tbl[] = { emit_preamble_pst_latex, emit_preamble_tkz_latex, emit_preamble_pst_context, emit_preamble_tkz_context, }; void emit_postamble_pst_latex(FILE * f, GLOBAL_ENV * env) { fprintf(f, "\\end{pspicture%s}", global_env_is_set_p(env, GE_EXTENT) ? "*" : ""); if (global_env_is_set_p(env, GE_FRAME)) fprintf(f, "}"); } void emit_postamble_tkz_latex(FILE * f, GLOBAL_ENV * env) { fprintf(f, "\\end{tikzpicture}"); if (global_env_is_set_p(env, GE_FRAME)) fprintf(f, "}}"); } void emit_postamble_pst_context(FILE * f, GLOBAL_ENV * env) { fprintf(f, "\\stoppspicture%s}", global_env_is_set_p(env, GE_EXTENT) ? "*" : ""); if (global_env_is_set_p(env, GE_FRAME)) fprintf(f, "}"); } void emit_postamble_tkz_context(FILE * f, GLOBAL_ENV * env) { fprintf(f, "\\stoptikzpicture"); if (global_env_is_set_p(env, GE_FRAME)) fprintf(f, "}}"); } typedef void (*EMIT_POSTAMBLE_FUNC) (FILE * f, GLOBAL_ENV * env); EMIT_POSTAMBLE_FUNC emit_postamble_tbl[] = { emit_postamble_pst_latex, emit_postamble_tkz_latex, emit_postamble_pst_context, emit_postamble_tkz_context, }; void emit(FILE * f, OBJECT * obj, GLOBAL_ENV * env, char *doc_template_file_name) { BOX_3D ext[1]; int n_obj; OBJECT *p; char buf1[16], buf2[16], buf3[16], buf4[16]; char *escape, *doc_template; doc_template = doc_template_from_file(doc_template_file_name, env->output_language); get_extent(obj, ext, &n_obj); if (n_obj == 0) err(no_line, "no objects to write"); else { remark(no_line, "scene bb=(%s,%s)(%s,%s)", flt_str(buf1, ext->min[X]), flt_str(buf2, ext->min[Y]), flt_str(buf3, ext->max[X]), flt_str(buf4, ext->max[Y])); if (get_transformed_global_env_extent(ext, env)) { remark(no_line, "actual bb=(%s,%s)(%s,%s)", flt_str(buf1, ext->min[X]), flt_str(buf2, ext->min[Y]), flt_str(buf3, ext->max[X]), flt_str(buf4, ext->max[Y])); } remark(no_line, "writing %d objects", n_obj); fprintf(f, "%% Sketch output, version " VER_STRING "\n" "%% Output language: %s\n", output_language_str[env->output_language]); escape = NULL; if (doc_template) { escape = strstr(doc_template, DOC_TEMPLATE_ESCAPE_STRING); if (escape) fprintf(f, "%.*s", (int) (escape - doc_template), doc_template); else warn(no_line, "document template with no escape '%s' has been ignored", DOC_TEMPLATE_ESCAPE_STRING); } (*emit_preamble_tbl[env->output_language]) (f, ext, env); for (p = obj; p; p = p->sibling) { if (emit_tbl_tbl[global_env->output_language][p->tag] == NULL) die(no_line, "emit: bad tag %d", p->tag); if (xy_overlap_p(p, ext)) (*emit_tbl_tbl[global_env->output_language][p->tag]) (f, p); } (*emit_postamble_tbl[env->output_language]) (f, env); if (escape) { escape += DOC_TEMPLATE_ESCAPE_STRING_LEN; fprintf(f, "%s", escape); if (strstr(escape, DOC_TEMPLATE_ESCAPE_STRING)) warn(no_line, "more than one escape in document template; all but first ignored"); } fprintf(f, "%% End sketch output\n"); } } sketch-0.3.7/emit.h0100644000076400010400000000237511722043474016710 0ustar freddieresslerAdministrators/* emit.h Copyright (C) 2005,2006,2007,2008 Eugene K. Ressler, Jr. This file is part of Sketch, a small, simple system for making 3d drawings with LaTeX and the PSTricks or TikZ package. Sketch 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, or (at your option) any later version. Sketch 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 Sketch; see the file COPYING.txt. If not, see http://www.gnu.org/copyleft */ #ifndef __EMIT_H #define __EMIT_H #include #include "scene.h" #include "global.h" char *flt_str(char *buf, double f); void process_special(FILE * f, SPECIAL_OBJECT * special, SRC_LINE line); char *doc_template_from_file(char *file_name, int output_language); extern char standard_us_doc_template_file_name_flag[]; extern char standard_euro_doc_template_file_name_flag[]; void emit(FILE * f, OBJECT * obj, GLOBAL_ENV * env, char *doc_template_file_name); #endif sketch-0.3.7/error.c0100644000076400010400000000567011722043474017077 0ustar freddieresslerAdministrators/* error.c Copyright (C) 2005,2006,2007,2008 Eugene K. Ressler, Jr. This file is part of Sketch, a small, simple system for making 3d drawings with LaTeX and the PSTricks or TikZ package. Sketch 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, or (at your option) any later version. Sketch 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 Sketch; see the file COPYING.txt. If not, see http://www.gnu.org/copyleft */ #include #include #include #include "error.h" SRC_LINE no_line = { NULL, 0 }; typedef enum error_type_t { E_REMARK, E_WARNING, E_ERROR, E_FATAL_ERROR, E_N // keep last; this is the number of error types } ERROR_TYPE; char *error_type_str[] = { "remark", "warning", "error", "fatal", }; static int n_errors[E_N]; // assumes C initialization to zero static void print_error(ERROR_TYPE type, SRC_LINE line, char *fmt, va_list arg_list) { n_errors[type]++; if (line.file_name) fprintf(stderr, "%s", line.file_name); if (line.number > 0) fprintf(stderr, "(%u) : ", line.number); fprintf(stderr, "%s, ", error_type_str[type]); vfprintf(stderr, fmt, arg_list); fprintf(stderr, "\n"); } void remark(SRC_LINE line, char *fmt, ...) { va_list arg_list; va_start(arg_list, fmt); print_error(E_REMARK, line, fmt, arg_list); va_end(arg_list); } void warn(SRC_LINE line, char *fmt, ...) { va_list arg_list; va_start(arg_list, fmt); print_error(E_WARNING, line, fmt, arg_list); va_end(arg_list); } void err(SRC_LINE line, char *fmt, ...) { va_list arg_list; va_start(arg_list, fmt); print_error(E_ERROR, line, fmt, arg_list); va_end(arg_list); } void die(SRC_LINE line, char *fmt, ...) { va_list arg_list; va_start(arg_list, fmt); print_error(E_FATAL_ERROR, line, fmt, arg_list); va_end(arg_list); report_errors(); } int trouble_p(void) { return n_errors[E_ERROR] > 0 || n_errors[E_FATAL_ERROR] > 0; } void report_errors(void) { int i, n_total = 0; // start printing summary fprintf(stderr, "summary: "); for (i = 0; i < E_N; i++) { if (n_errors[i] > 0) { if (n_total > 0) fprintf(stderr, ", "); fprintf(stderr, "%d %s", n_errors[i], error_type_str[i]); n_total++; } } // see if we need to abort if (trouble_p()) { fprintf(stderr, "\nquitting...\n"); exit(1); } // not aborting, so finish up the summary if (n_total == 0) { fprintf(stderr, "no errors"); } fprintf(stderr, "\n"); // zero the error counters for (i = 0; i < E_N; i++) n_errors[i] = 0; } sketch-0.3.7/error.h0100644000076400010400000000231311722043474017073 0ustar freddieresslerAdministrators/* error.h Copyright (C) 2005,2006,2007,2008 Eugene K. Ressler, Jr. This file is part of Sketch, a small, simple system for making 3d drawings with LaTeX and the PSTricks or TikZ package. Sketch 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, or (at your option) any later version. Sketch 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 Sketch; see the file COPYING.txt. If not, see http://www.gnu.org/copyleft */ #ifndef __ERROR_H #define __ERROR_H typedef struct source_line_t { char *file_name; int include_p; int number; } SRC_LINE; extern SRC_LINE no_line; #define is_no_line_p(L) ((L).number <= 0) void remark(SRC_LINE line, char *fmt, ...); void warn(SRC_LINE line, char *fmt, ...); void err(SRC_LINE line, char *fmt, ...); void die(SRC_LINE line, char *fmt, ...); int trouble_p(void); void report_errors(void); #endif sketch-0.3.7/expr.c0100644000076400010400000003126211722043474016720 0ustar freddieresslerAdministrators/* expr.c Copyright (C) 2005,2006,2007,2008 Eugene K. Ressler, Jr. This file is part of Sketch, a small, simple system for making 3d drawings with LaTeX and the PSTricks or TikZ package. Sketch 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, or (at your option) any later version. Sketch 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 Sketch; see the file COPYING.txt. If not, see http://www.gnu.org/copyleft */ #include #include #include "expr.h" #include "error.h" #define F "%.3f" char *expr_val_type_str[] = { "float", "point", "vector", "transform", }; // set expression value to given type and value void set_float(EXPR_VAL * r, FLOAT val) { r->tag = E_FLOAT; r->val.flt = val; } void print_float(FILE * f, EXPR_VAL * val) { fprintf(f, F, val->val.flt); } void set_point(EXPR_VAL * r, POINT_3D val) { r->tag = E_POINT; copy_pt_3d(r->val.pt, val); } void print_point(FILE * f, EXPR_VAL * val) { FLOAT *p = val->val.pt; fprintf(f, "(" F "," F "," F ")", p[X], p[Y], p[Z]); } void set_vector(EXPR_VAL * r, VECTOR_3D val) { r->tag = E_VECTOR; copy_vec_3d(r->val.vec, val); } void print_vector(FILE * f, EXPR_VAL * val) { FLOAT *v = val->val.vec; fprintf(f, "[" F "," F "," F "]", v[X], v[Y], v[Z]); } void set_transform(EXPR_VAL * r, TRANSFORM val) { r->tag = E_TRANSFORM; copy_transform(r->val.xf, val); } void print_transform(FILE * f, EXPR_VAL * val) { FLOAT *xf = val->val.xf; int i, j; fprintf(f, "["); for (i = 0; i < 4; i++) { fprintf(f, "["); for (j = 0; j < 16; j += 4) fprintf(f, "%s" F, (j == 0) ? "" : ",", xf[i + j]); fprintf(f, "]"); } fprintf(f, "]"); } // coerce an expression value to given type // generate error message if it can't be done void coerce_to_float(EXPR_VAL * r, FLOAT * val, SRC_LINE line) { if (r->tag == E_FLOAT) { *val = r->val.flt; } else { *val = 0; err(line, "expected float, found %s", expr_val_type_str[r->tag]); } } void coerce_to_point(EXPR_VAL * r, POINT_3D val, SRC_LINE line) { if (r->tag == E_POINT) { copy_pt_3d(val, r->val.pt); } else { val[X] = val[Y] = val[Z] = 0; err(line, "expected point, found %s", expr_val_type_str[r->tag]); } } void coerce_to_vector(EXPR_VAL * r, VECTOR_3D val, SRC_LINE line) { if (r->tag == E_VECTOR) { copy_vec_3d(val, r->val.vec); } else { val[X] = val[Y] = val[Z] = 0; err(line, "expected vector, found %s", expr_val_type_str[r->tag]); } } void coerce_to_transform(EXPR_VAL * r, TRANSFORM val, SRC_LINE line) { if (r->tag == E_TRANSFORM) { copy_transform(val, r->val.xf); } else { set_ident(val); err(line, "expected transform, found %s", expr_val_type_str[r->tag]); } } typedef void (*PRINT_FUNC) (FILE *, EXPR_VAL *); static PRINT_FUNC print_expr_val_tbl[] = { print_float, print_point, print_vector, print_transform, }; void print_expr_val(FILE * f, EXPR_VAL * r) { (*print_expr_val_tbl[r->tag]) (f, r); } #define HASH(A, B) (((A) << 2) | (B)) void do_add(EXPR_VAL * r, EXPR_VAL * a, EXPR_VAL * b, SRC_LINE line) { switch (HASH(a->tag, b->tag)) { case HASH(E_FLOAT, E_FLOAT): set_float(r, a->val.flt + b->val.flt); break; case HASH(E_POINT, E_VECTOR): r->tag = E_POINT; add_vec_to_pt_3d(r->val.pt, a->val.pt, b->val.vec); break; case HASH(E_VECTOR, E_POINT): r->tag = E_POINT; add_vec_to_pt_3d(r->val.pt, b->val.pt, a->val.vec); break; case HASH(E_VECTOR, E_VECTOR): r->tag = E_VECTOR; add_vecs_3d(r->val.vec, a->val.vec, b->val.vec); break; default: err(line, "operands of + (types %s and %s) cannot be added", expr_val_type_str[a->tag], expr_val_type_str[b->tag]); set_float(r, 0); break; } } void do_sub(EXPR_VAL * r, EXPR_VAL * a, EXPR_VAL * b, SRC_LINE line) { switch (HASH(a->tag, b->tag)) { case HASH(E_FLOAT, E_FLOAT): set_float(r, a->val.flt - b->val.flt); break; case HASH(E_POINT, E_POINT): r->tag = E_VECTOR; sub_pts_3d(r->val.vec, a->val.pt, b->val.pt); break; case HASH(E_POINT, E_VECTOR): r->tag = E_POINT; add_scaled_vec_to_pt_3d(r->val.pt, a->val.pt, b->val.vec, -1); break; case HASH(E_VECTOR, E_VECTOR): r->tag = E_VECTOR; sub_vecs_3d(r->val.vec, a->val.vec, b->val.vec); break; default: err(line, "operands of - (types %s and %s) cannot be subtracted", expr_val_type_str[a->tag], expr_val_type_str[b->tag]); set_float(r, 0); break; } } void do_mul(EXPR_VAL * r, EXPR_VAL * a, EXPR_VAL * b, SRC_LINE line) { switch (HASH(a->tag, b->tag)) { case HASH(E_FLOAT, E_FLOAT): set_float(r, a->val.flt * b->val.flt); break; case HASH(E_VECTOR, E_FLOAT): r->tag = E_VECTOR; scale_vec_3d(r->val.vec, a->val.vec, b->val.flt); break; case HASH(E_FLOAT, E_VECTOR): r->tag = E_VECTOR; scale_vec_3d(r->val.vec, b->val.vec, a->val.flt); break; case HASH(E_VECTOR, E_VECTOR): r->tag = E_VECTOR; cross(r->val.vec, a->val.vec, b->val.vec); break; case HASH(E_TRANSFORM, E_TRANSFORM): r->tag = E_TRANSFORM; compose(r->val.xf, a->val.xf, b->val.xf); break; case HASH(E_TRANSFORM, E_POINT): r->tag = E_POINT; transform_pt_3d(r->val.pt, a->val.xf, b->val.pt); break; case HASH(E_TRANSFORM, E_VECTOR): r->tag = E_VECTOR; transform_vec_3d(r->val.vec, a->val.xf, b->val.vec); break; default: err(line, "operands of * (types %s and %s) cannot be multiplied", expr_val_type_str[a->tag], expr_val_type_str[b->tag]); set_float(r, 0); break; } } void do_thn(EXPR_VAL * r, EXPR_VAL * a, EXPR_VAL * b, SRC_LINE line) { switch (HASH(a->tag, b->tag)) { case HASH(E_TRANSFORM, E_TRANSFORM): r->tag = E_TRANSFORM; compose(r->val.xf, b->val.xf, a->val.xf); break; case HASH(E_POINT, E_TRANSFORM): r->tag = E_POINT; transform_pt_3d(r->val.pt, b->val.xf, a->val.pt); break; case HASH(E_VECTOR, E_TRANSFORM): r->tag = E_VECTOR; transform_vec_3d(r->val.vec, b->val.xf, a->val.vec); break; default: err(line, "operands of 'then' (types %s and %s) cannot be multiplied", expr_val_type_str[a->tag], expr_val_type_str[b->tag]); set_float(r, 0); break; } } static FLOAT safe_dvd(FLOAT a, FLOAT b, SRC_LINE line) { if (-FLOAT_EPS < b && b < FLOAT_EPS) { err(line, "attempt to divide " F " by zero", a); return 0; } return a / b; } void do_dvd(EXPR_VAL * r, EXPR_VAL * a, EXPR_VAL * b, SRC_LINE line) { switch (HASH(a->tag, b->tag)) { case HASH(E_FLOAT, E_FLOAT): set_float(r, safe_dvd(a->val.flt, b->val.flt, line)); break; case HASH(E_VECTOR, E_FLOAT): r->tag = E_VECTOR; scale_vec_3d(r->val.vec, a->val.vec, safe_dvd(1, b->val.flt, line)); break; case HASH(E_FLOAT, E_VECTOR): r->tag = E_VECTOR; scale_vec_3d(r->val.vec, b->val.vec, safe_dvd(1, a->val.flt, line)); break; default: err(line, "operands of / (types %s and %s) cannot be divided", expr_val_type_str[a->tag], expr_val_type_str[b->tag]); set_float(r, 0); break; } } void do_dot(EXPR_VAL * r, EXPR_VAL * a, EXPR_VAL * b, SRC_LINE line) { switch (HASH(a->tag, b->tag)) { case HASH(E_VECTOR, E_VECTOR): r->tag = E_FLOAT; r->val.flt = dot_3d(a->val.vec, b->val.vec); break; case HASH(E_FLOAT, E_FLOAT): case HASH(E_VECTOR, E_FLOAT): case HASH(E_FLOAT, E_VECTOR): case HASH(E_TRANSFORM, E_TRANSFORM): case HASH(E_TRANSFORM, E_POINT): case HASH(E_TRANSFORM, E_VECTOR): do_mul(r, a, b, line); break; default: err(line, "operands of dot (types %s and %s) cannot be multiplied", expr_val_type_str[a->tag], expr_val_type_str[b->tag]); set_float(r, 0); break; } } void do_index(EXPR_VAL * r, EXPR_VAL * a, int index, SRC_LINE line) { switch (a->tag) { case E_VECTOR: set_float(r, a->val.vec[index]); break; case E_POINT: set_float(r, a->val.pt[index]); break; default: err(line, "operand of 'index is a %s and should be a point or a vector", expr_val_type_str[a->tag]); set_float(r, 0); break; } } void do_inverse(TRANSFORM inv, TRANSFORM xf, SRC_LINE line) { FLOAT det; invert(inv, &det, xf, 1e-4); if (det == 0) { err(line, "inverse of singular transform"); set_ident(inv); } } // put a^n into r; r and a can't both be the same storage // exploits a^(2n) = (a^n)^2 to reduce work void do_transform_power(TRANSFORM r, TRANSFORM a, int n, SRC_LINE line) { if (n < 0) { TRANSFORM inv; do_inverse(inv, a, line); do_transform_power(r, inv, -n, line); } else if (n == 0) { set_ident(r); } else { int m = (int) bit(30); while ((m & n) == 0) m >>= 1; copy_transform(r, a); for (m >>= 1; m; m >>= 1) { compose(r, r, r); if (m & n) compose(r, r, a); } } } int to_integer(FLOAT x, int *n) { double frac_part, int_part; frac_part = modf(x, &int_part); if (-1e9 <= int_part && int_part <= 1e9) { *n = (int) int_part; return 1; } return 0; } void do_pwr(EXPR_VAL * r, EXPR_VAL * a, EXPR_VAL * b, SRC_LINE line) { TRANSFORM xf_pwr; int n; switch (HASH(a->tag, b->tag)) { case HASH(E_FLOAT, E_FLOAT): set_float(r, pow(a->val.flt, b->val.flt)); break; case HASH(E_TRANSFORM, E_FLOAT): if (to_integer(b->val.flt, &n)) { do_transform_power(xf_pwr, a->val.xf, n, line); } else { err(line, "transform power out of domain (integer -1e9..1e9)"); set_ident(xf_pwr); } set_transform(r, xf_pwr); break; default: err(line, "operands of ^ (types %s and %s) must be type float", expr_val_type_str[a->tag], expr_val_type_str[b->tag]); set_float(r, 0); break; } } void do_mag(EXPR_VAL * r, EXPR_VAL * a, SRC_LINE line) { switch (a->tag) { case E_FLOAT: set_float(r, a->val.flt >= 0 ? a->val.flt : -a->val.flt); break; case E_VECTOR: set_float(r, length_vec_3d(a->val.vec)); break; default: err(line, "operand of magnitude operator (type %s) must be vector", expr_val_type_str[a->tag]); *r = *a; break; } } void do_neg(EXPR_VAL * r, EXPR_VAL * a, SRC_LINE line) { switch (a->tag) { case E_FLOAT: set_float(r, -a->val.flt); break; case E_VECTOR: r->tag = E_VECTOR; negate_vec_3d(r->val.vec, a->val.vec); break; default: err(line, "operand of unary minus (type %s) cannot be negated", expr_val_type_str[a->tag]); *r = *a; break; } } void do_unit(EXPR_VAL * r, EXPR_VAL * a, SRC_LINE line) { if (a->tag == E_VECTOR) { r->tag = E_VECTOR; find_unit_vec_3d(r->val.vec, a->val.vec); } else { static VECTOR_3D k = { 0, 0, 1 }; err(line, "operand of unit operator (type %s) must be vector", expr_val_type_str[a->tag]); set_vector(r, k); } } void do_sqrt(EXPR_VAL * r, EXPR_VAL * a, SRC_LINE line) { switch (a->tag) { case E_FLOAT: if (a->val.flt < 0) err(line, "square root of negative number"); set_float(r, sqrt(a->val.flt)); break; default: err(line, "operand of sqrt (type %s) must be float", expr_val_type_str[a->tag]); break; } } void do_sin(EXPR_VAL * r, EXPR_VAL * a, SRC_LINE line) { switch (a->tag) { case E_FLOAT: set_float(r, sin((PI / 180) * a->val.flt)); break; default: err(line, "operand of sin (type %s) must be float", expr_val_type_str[a->tag]); break; } } void do_cos(EXPR_VAL * r, EXPR_VAL * a, SRC_LINE line) { switch (a->tag) { case E_FLOAT: set_float(r, cos((PI / 180) * a->val.flt)); break; default: err(line, "operand of cos (type %s) must be float", expr_val_type_str[a->tag]); break; } } void do_asin(EXPR_VAL * r, EXPR_VAL * a, SRC_LINE line) { switch (a->tag) { case E_FLOAT: if (-1 < a->val.flt || a->val.flt > 1) err(line, "asin operand is out of range [-1..1]"); set_float(r, (180 / PI) * asin(a->val.flt)); break; default: err(line, "operand of asin (type %s) must be float", expr_val_type_str[a->tag]); break; } } void do_acos(EXPR_VAL * r, EXPR_VAL * a, SRC_LINE line) { switch (a->tag) { case E_FLOAT: if (-1 < a->val.flt || a->val.flt > 1) err(line, "asin operand is out of range [-1..1]"); set_float(r, (180 / PI) * acos(a->val.flt)); break; default: err(line, "operand of acos (type %s) must be float", expr_val_type_str[a->tag]); break; } } void do_atan2(EXPR_VAL * r, EXPR_VAL * a, EXPR_VAL * b, SRC_LINE line) { switch (HASH(a->tag, b->tag)) { case HASH(E_FLOAT, E_FLOAT): set_float(r, (180 / PI) * atan2(a->val.flt, b->val.flt)); break; default: err(line, "operands of atan2 (types %s, %s) must be float", expr_val_type_str[a->tag], expr_val_type_str[b->tag]); break; } } sketch-0.3.7/expr.h0100644000076400010400000000601611722043474016724 0ustar freddieresslerAdministrators/* expr.h Copyright (C) 2005,2006,2007,2008 Eugene K. Ressler, Jr. This file is part of Sketch, a small, simple system for making 3d drawings with LaTeX and the PSTricks or TikZ package. Sketch 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, or (at your option) any later version. Sketch 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 Sketch; see the file COPYING.txt. If not, see http://www.gnu.org/copyleft */ #ifndef __EXPR_H #define __EXPR_H #include #include "geometry.h" // used by parser for dynamically typed expression evaluation // must match expr_val_type_str[] in expr.c typedef enum expr_typa_t { E_FLOAT, E_POINT, E_VECTOR, E_TRANSFORM, } EXPR_TYPE; extern char *expr_val_type_str[]; typedef struct expr_val_t { EXPR_TYPE tag; union { FLOAT flt; POINT_3D pt; VECTOR_3D vec; TRANSFORM xf; } val; } EXPR_VAL; #define EXPR_TYPE_IS(E, T) ((E)->tag == (T)) // set expression value to given type and value void set_float(EXPR_VAL * r, FLOAT val); void set_point(EXPR_VAL * r, POINT_3D val); void set_vector(EXPR_VAL * r, VECTOR_3D val); void set_transform(EXPR_VAL * r, TRANSFORM val); // coerce an expression value to given type // generate error message if it can't be done void coerce_to_float(EXPR_VAL * r, FLOAT * val, SRC_LINE line); void coerce_to_point(EXPR_VAL * r, POINT_3D val, SRC_LINE line); void coerce_to_vector(EXPR_VAL * r, VECTOR_3D val, SRC_LINE line); void coerce_to_transform(EXPR_VAL * r, TRANSFORM val, SRC_LINE line); void print_expr_val(FILE * f, EXPR_VAL * r); void do_add(EXPR_VAL * r, EXPR_VAL * a, EXPR_VAL * b, SRC_LINE line); void do_sub(EXPR_VAL * r, EXPR_VAL * a, EXPR_VAL * b, SRC_LINE line); void do_mul(EXPR_VAL * r, EXPR_VAL * a, EXPR_VAL * b, SRC_LINE line); void do_thn(EXPR_VAL * r, EXPR_VAL * a, EXPR_VAL * b, SRC_LINE line); void do_dvd(EXPR_VAL * r, EXPR_VAL * a, EXPR_VAL * b, SRC_LINE line); void do_dot(EXPR_VAL * r, EXPR_VAL * a, EXPR_VAL * b, SRC_LINE line); void do_pwr(EXPR_VAL * r, EXPR_VAL * a, EXPR_VAL * b, SRC_LINE line); void do_mag(EXPR_VAL * r, EXPR_VAL * a, SRC_LINE line); void do_neg(EXPR_VAL * r, EXPR_VAL * a, SRC_LINE line); void do_unit(EXPR_VAL * r, EXPR_VAL * a, SRC_LINE line); void do_sqrt(EXPR_VAL * r, EXPR_VAL * a, SRC_LINE line); void do_sin(EXPR_VAL * r, EXPR_VAL * a, SRC_LINE line); void do_cos(EXPR_VAL * r, EXPR_VAL * a, SRC_LINE line); void do_asin(EXPR_VAL * r, EXPR_VAL * a, SRC_LINE line); void do_acos(EXPR_VAL * r, EXPR_VAL * a, SRC_LINE line); void do_index(EXPR_VAL * r, EXPR_VAL * a, int index, SRC_LINE line); void do_atan2(EXPR_VAL * r, EXPR_VAL * a, EXPR_VAL * b, SRC_LINE line); void do_inverse(TRANSFORM inv, TRANSFORM xf, SRC_LINE line); #endif sketch-0.3.7/geometry.c0100644000076400010400000007252611722043474017605 0ustar freddieresslerAdministrators/* geometry.c Copyright (C) 2005,2006,2007,2008 Eugene K. Ressler, Jr. This file is part of Sketch, a small, simple system for making 3d drawings with LaTeX and the PSTricks or TikZ package. Sketch 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, or (at your option) any later version. Sketch 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 Sketch; see the file COPYING.txt. If not, see http://www.gnu.org/copyleft */ #include #include #include #include #include "geometry.h" #include "error.h" #include "memutil.h" // global constants POINT_2D origin_2d = { 0, 0 }; POINT_3D origin_3d = { 0, 0, 0 }; VECTOR_2D I_2d = { 1, 0 }; VECTOR_2D J_2d = { 0, 1 }; VECTOR_3D I_3d = { 1, 0, 0 }; VECTOR_3D J_3d = { 0, 1, 0 }; VECTOR_3D K_3d = { 0, 0, 1 }; TRANSFORM identity = { 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1 }; // numerics FLOAT max_float(FLOAT x, FLOAT y) { return x > y ? x : y; } FLOAT min_float(FLOAT x, FLOAT y) { return x < y ? x : y; } // points void copy_pt_2d(POINT_2D r, POINT_2D s) { r[X] = s[X]; r[Y] = s[Y]; } void copy_pt_3d(POINT_3D r, POINT_3D s) { r[X] = s[X]; r[Y] = s[Y]; r[Z] = s[Z]; } void find_pt_3d_from_2d(POINT_3D r, POINT_2D pt) { r[X] = pt[X]; r[Y] = pt[Y]; r[Z] = 0; } // polyline initialization and cleanup #define SET_NEXT_NULL a->next = NULL; DECLARE_DYNAMIC_2D_ARRAY_FUNCS(POLYLINE_2D, POINT_2D, FLOAT, polyline_2d, v, n_vertices, SET_NEXT_NULL); DECLARE_DYNAMIC_2D_ARRAY_FUNCS(POLYLINE_3D, POINT_3D, FLOAT, polyline_3d, v, n_vertices, SET_NEXT_NULL); // polygon initialization and cleanup DECLARE_DYNAMIC_2D_ARRAY_FUNCS(POLYGON_2D, POINT_2D, FLOAT, polygon_2d, v, n_sides, SET_NEXT_NULL); DECLARE_DYNAMIC_2D_ARRAY_FUNCS(POLYGON_3D, POINT_3D, FLOAT, polygon_3d, v, n_sides, SET_NEXT_NULL); // rudimentary vectors of variable size void init_vec(VECTOR * v) { *v = 0; } void clear_vec(VECTOR * v) { safe_free(*v); init_vec(v); } void setup_vec(VECTOR * v, SIZE n) { clear_vec(v); *v = safe_malloc(n * sizeof(FLOAT)); } void init_and_setup_vec(VECTOR * v, SIZE n) { *v = safe_malloc(n * sizeof(FLOAT)); } void zero_vec(VECTOR r, SIZE n) { INDEX i; for (i = 0; i < n; i++) r[i] = 0; } void copy_vec(VECTOR r, VECTOR v, SIZE n) { INDEX i; for (i = 0; i < n; i++) r[i] = v[i]; } FLOAT length_vec_2d(VECTOR_2D v) { return sqrt(dot_2d(v, v)); } FLOAT length_vec_3d(VECTOR_3D v) { return sqrt(dot_3d(v, v)); } FLOAT dist_2d(POINT_2D p1, POINT_2D p2) { VECTOR_2D dif; sub_pts_2d(dif, p1, p2); return length_vec_2d(dif); } FLOAT dist_3d(POINT_3D p1, POINT_3D p2) { VECTOR_3D dif; sub_pts_3d(dif, p1, p2); return length_vec_3d(dif); } FLOAT length_vec_2d_sqr(VECTOR_2D v) { return dot_2d(v, v); } FLOAT length_vec_3d_sqr(VECTOR_3D v) { return dot_3d(v, v); } FLOAT dist_2d_sqr(POINT_2D p1, POINT_2D p2) { VECTOR_2D dif; sub_pts_2d(dif, p1, p2); return length_vec_2d_sqr(dif); } FLOAT dist_3d_sqr(POINT_3D p1, POINT_3D p2) { VECTOR_3D dif; sub_pts_3d(dif, p1, p2); return length_vec_3d_sqr(dif); } void zero_vec_2d(VECTOR_2D v) { v[X] = v[Y] = 0; } void zero_vec_3d(VECTOR_3D v) { v[X] = v[Y] = v[Z] = 0; } void negate_vec_2d(VECTOR_2D r, VECTOR_2D v) { r[X] = -v[X]; r[Y] = -v[Y]; } void negate_vec_3d(VECTOR_3D r, VECTOR_3D v) { r[X] = -v[X]; r[Y] = -v[Y]; r[Z] = -v[Z]; } void copy_vec_2d(VECTOR_2D r, VECTOR_2D s) { r[X] = s[X]; r[Y] = s[Y]; } void copy_vec_3d(VECTOR_3D r, VECTOR_3D s) { r[X] = s[X]; r[Y] = s[Y]; r[Z] = s[Z]; } void scale_vec_2d(VECTOR_2D r, VECTOR_2D v, FLOAT s) { r[X] = v[X] * s; r[Y] = v[Y] * s; } void scale_vec_3d(VECTOR_3D r, VECTOR_3D v, FLOAT s) { r[X] = v[X] * s; r[Y] = v[Y] * s; r[Z] = v[Z] * s; } int find_unit_vec_2d(VECTOR_2D r, VECTOR_2D v) { FLOAT len = length_vec_2d(v); if (len <= FLT_EPSILON) { r[X] = 1; r[Y] = 0; return 0; } else { scale_vec_2d(r, v, 1 / len); return 1; } } int find_unit_vec_3d(VECTOR_3D r, VECTOR_3D v) { FLOAT len = length_vec_3d(v); if (len == FLT_EPSILON) { r[X] = 1; r[Y] = r[Z] = 0; return 0; } else { scale_vec_3d(r, v, 1 / len); return 1; } } void add_vecs_2d(VECTOR_2D r, VECTOR_2D a, VECTOR_2D b) { r[X] = a[X] + b[X]; r[Y] = a[Y] + b[Y]; } void add_vecs_3d(VECTOR_3D r, VECTOR_3D a, VECTOR_3D b) { r[X] = a[X] + b[X]; r[Y] = a[Y] + b[Y]; r[Z] = a[Z] + b[Z]; } void sub_vecs_2d(VECTOR_2D r, VECTOR_2D a, VECTOR_2D b) { r[X] = a[X] - b[X]; r[Y] = a[Y] - b[Y]; } void sub_vecs_3d(VECTOR_3D r, VECTOR_3D a, VECTOR_3D b) { r[X] = a[X] - b[X]; r[Y] = a[Y] - b[Y]; r[Z] = a[Z] - b[Z]; } void add_vec_to_pt_2d(POINT_2D r, POINT_2D pt, VECTOR_2D v) { r[X] = pt[X] + v[X]; r[Y] = pt[Y] + v[Y]; } void add_vec_to_pt_3d(POINT_3D r, POINT_3D pt, VECTOR_3D v) { r[X] = pt[X] + v[X]; r[Y] = pt[Y] + v[Y]; r[Z] = pt[Z] + v[Z]; } void add_scaled_vec_to_pt_2d(POINT_2D r, POINT_2D pt, VECTOR_2D v, FLOAT s) { r[X] = pt[X] + v[X] * s; r[Y] = pt[Y] + v[Y] * s; } void add_scaled_vec_to_pt_3d(POINT_3D r, POINT_3D pt, VECTOR_3D v, FLOAT s) { r[X] = pt[X] + v[X] * s; r[Y] = pt[Y] + v[Y] * s; r[Z] = pt[Z] + v[Z] * s; } void sub_pts_2d(VECTOR_2D r, POINT_2D a, POINT_2D b) { r[X] = a[X] - b[X]; r[Y] = a[Y] - b[Y]; } void sub_pts_3d(VECTOR_3D r, POINT_3D a, POINT_3D b) { r[X] = a[X] - b[X]; r[Y] = a[Y] - b[Y]; r[Z] = a[Z] - b[Z]; } void fold_min_pt_2d(POINT_2D min, POINT_2D new_pt) { int i; for (i = 0; i < 2; i++) if (new_pt[i] < min[i]) min[i] = new_pt[i]; } void fold_min_pt_3d(POINT_3D min, POINT_3D new_pt) { int i; for (i = 0; i < 3; i++) if (new_pt[i] < min[i]) min[i] = new_pt[i]; } void fold_max_pt_2d(POINT_2D max, POINT_3D new_pt) { int i; for (i = 0; i < 2; i++) if (new_pt[i] > max[i]) max[i] = new_pt[i]; } void fold_max_pt_3d(POINT_3D max, POINT_3D new_pt) { int i; for (i = 0; i < 3; i++) if (new_pt[i] > max[i]) max[i] = new_pt[i]; } FLOAT dot_2d(VECTOR_2D a, VECTOR_2D b) { return a[X] * b[X] + a[Y] * b[Y]; } FLOAT dot_3d(VECTOR_3D a, VECTOR_3D b) { return a[X] * b[X] + a[Y] * b[Y] + a[Z] * b[Z]; } void cross(VECTOR_3D r, VECTOR_3D a, VECTOR_3D b) { r[X] = a[Y] * b[Z] - a[Z] * b[Y]; r[Y] = a[Z] * b[X] - a[X] * b[Z]; r[Z] = a[X] * b[Y] - a[Y] * b[X]; } void lerp_2d(POINT_2D r, FLOAT t, POINT_2D p1, POINT_2D p2) { r[0] = p1[0] + t * (p2[0] - p1[0]); r[1] = p1[1] + t * (p2[1] - p1[1]); } void lerp_3d(POINT_3D r, FLOAT t, POINT_3D p1, POINT_3D p2) { r[0] = p1[0] + t * (p2[0] - p1[0]); r[1] = p1[1] + t * (p2[1] - p1[1]); r[2] = p1[2] + t * (p2[2] - p1[2]); } int line_intersect_2d(POINT_2D a, POINT_2D b, POINT_2D c, POINT_2D d, FLOAT eps, FLOAT * t_ab, FLOAT * t_cd) { FLOAT dx_ab, dy_ab, dx_dc, dy_dc, det, dx_ac, dy_ac; dx_ab = b[X] - a[X]; dy_ab = b[Y] - a[Y]; dx_dc = c[X] - d[X]; dy_dc = c[Y] - d[Y]; det = dx_ab * dy_dc - dx_dc * dy_ab; if (-eps < det && det < eps) return 1; dx_ac = c[X] - a[X]; dy_ac = c[Y] - a[Y]; *t_ab = (dx_ac * dy_dc - dx_dc * dy_ac) / det; *t_cd = (dx_ab * dy_ac - dx_ac * dy_ab) / det; return 0; } void find_polygon_plane(PLANE * plane, POLYGON_3D * polygon) { int i, j; VECTOR_3D sum, dif; zero_vec_3d(plane->p); zero_vec_3d(plane->n); for (i = 0, j = polygon->n_sides - 1; i < polygon->n_sides; j = i++) { add_vecs_3d(plane->p, plane->p, polygon->v[i]); add_vecs_3d(sum, polygon->v[j], polygon->v[i]); sub_vecs_3d(dif, polygon->v[j], polygon->v[i]); plane->n[X] += dif[Y] * sum[Z]; plane->n[Y] += dif[Z] * sum[X]; plane->n[Z] += dif[X] * sum[Y]; } scale_vec_3d(plane->p, plane->p, 1.0 / polygon->n_sides); find_unit_vec_3d(plane->n, plane->n); plane->c = -dot_3d(plane->p, plane->n); } int pt_side_of_plane(PLANE * plane, POINT_3D p) { FLOAT d = dot_3d(p, plane->n) + plane->c; return d < -PLANE_HALF_THICKNESS ? S_IN : d > PLANE_HALF_THICKNESS ? S_OUT : d < 0 ? S_IN_ON : d > 0 ? S_OUT_ON : S_ON; } int polygon_side_of_plane(POLYGON_3D * polygon, PLANE * plane) { int i, j, i_side, j_side, n_in, n_out; // initialize with last point in polygon // scan for OUT-IN or IN-OUT pair j = polygon->n_sides - 1; j_side = pt_side_of_plane(plane, polygon->v[j]); n_in = n_out = 0; for (i = 0; i < polygon->n_sides; i++) { // advance to next vertex i_side = pt_side_of_plane(plane, polygon->v[i]); if ((i_side | j_side) == (S_IN | S_OUT)) // found a straddling pair return S_SPLIT; if (i_side & (S_IN | S_OUT)) // found an IN or an OUT; remember it j_side = i_side; // keep counts for polygons entirely inside the thick plane if (i_side == S_OUT_ON) n_out++; if (i_side == S_IN_ON) n_in++; } return j_side & (S_IN | S_OUT) ? j_side : (n_out > n_in) ? S_OUT : (n_in > n_out) ? S_IN : S_ON; } #if TREAT_POLYLINE_POINTS_ON_PLANE_AS_IN_OR_OUT // this will work only with BSPs, not with depth sort // it causes polylines that end on a plane to be split into a line and a point int polyline_side_of_plane(POLYLINE_3D * polyline, PLANE * plane) { int i, j, i_side, j_side, n_in, n_out; // predicate for "if more than one bit set..." // 0 1 2 3 4 5 6 7 static int is_split_p[] = { 0, 0, 0, 1, 0, 1, 1, 1 }; // initialize with first point in polyline // scan for OUT-IN or IN-OUT pair j = 0; i_side = pt_side_of_plane(plane, polyline->v[j]); n_in = n_out = 0; for (i = 1; i < polyline->n_vertices; i++) { // advance to next vertex, remembering side of last j_side = i_side; i_side = pt_side_of_plane(plane, polyline->v[i]); if (is_split_p[(i_side | j_side) & 7]) return S_SPLIT; // keep counts for polylines entirely inside the thick plane if (i_side == S_OUT_ON) n_out++; if (i_side == S_IN_ON) n_in++; } return i_side & (S_IN | S_OUT) ? i_side : (n_out > n_in) ? S_OUT : (n_in > n_out) ? S_IN : S_ON; } #else int polyline_side_of_plane(POLYLINE_3D * polyline, PLANE * plane) { int i, j, i_side, j_side, n_in, n_out; // initialize with last point in polygon // scan for OUT-IN or IN-OUT pair j = polyline->n_vertices - 1; j_side = pt_side_of_plane(plane, polyline->v[j]); n_in = n_out = 0; for (i = 0; i < polyline->n_vertices; i++) { // advance to next vertex i_side = pt_side_of_plane(plane, polyline->v[i]); if ((i_side | j_side) == (S_IN | S_OUT)) // found a straddling pair return S_SPLIT; if (i_side & (S_IN | S_OUT)) // found an IN or an OUT; remember it j_side = i_side; // keep counts for polylines entirely inside the thick plane if (i_side == S_OUT_ON) n_out++; if (i_side == S_IN_ON) n_in++; } return j_side & (S_IN | S_OUT) ? j_side : (n_out > n_in) ? S_OUT : (n_in > n_out) ? S_IN : S_ON; } #endif void init_box_2d(BOX_2D * b) { b->min[X] = b->min[Y] = FLOAT_MAX; b->max[X] = b->max[Y] = -FLOAT_MAX; } void init_box_3d(BOX_3D * b) { b->min[X] = b->min[Y] = b->min[Z] = FLOAT_MAX; b->max[X] = b->max[Y] = b->max[Z] = -FLOAT_MAX; } void fold_min_max_pt_2d(BOX_2D * b, POINT_2D p) { fold_min_pt_2d(b->min, p); fold_max_pt_2d(b->max, p); } void fold_min_max_pt_3d(BOX_3D * b, POINT_3D p) { fold_min_pt_3d(b->min, p); fold_max_pt_3d(b->max, p); } void fold_min_max_polygon_2d(BOX_2D * b, POLYGON_2D * polygon) { int i; for (i = 0; i < polygon->n_sides; i++) fold_min_max_pt_2d(b, polygon->v[i]); } void fold_min_max_polygon_3d(BOX_3D * b, POLYGON_3D * polygon) { int i; for (i = 0; i < polygon->n_sides; i++) fold_min_max_pt_3d(b, polygon->v[i]); } void fold_min_max_polyline_2d(BOX_2D * b, POLYLINE_2D * polyline) { int i; for (i = 0; i < polyline->n_vertices; i++) fold_min_max_pt_2d(b, polyline->v[i]); } void fold_min_max_polyline_3d(BOX_3D * b, POLYLINE_3D * polyline) { int i; for (i = 0; i < polyline->n_vertices; i++) fold_min_max_pt_3d(b, polyline->v[i]); } void copy_box_2d(BOX_2D * r, BOX_2D * s) { *r = *s; } void copy_box_3d(BOX_3D * r, BOX_3D * s) { *r = *s; } int boxes_2d_intersect_p(BOX_2D * a, BOX_2D * b) { if (a->max[X] < b->min[X]) // a left of b return 0; if (a->min[X] > b->max[X]) // a right of b return 0; if (a->max[Y] < b->min[Y]) // a below b return 0; if (a->min[Y] > b->max[Y]) // a above b return 0; return 1; } int boxes_3d_intersect_p(BOX_2D * a, BOX_2D * b) { if (a->max[X] < b->min[X]) // a left of b return 0; if (a->min[X] > b->max[X]) // a right of b return 0; if (a->max[Y] < b->min[Y]) // a below b return 0; if (a->min[Y] > b->max[Y]) // a above b return 0; if (a->max[Z] < b->min[Z]) // a behind b return 0; if (a->min[Z] > b->max[Z]) // a in front of b return 0; return 1; } void copy_transform(TRANSFORM r, TRANSFORM s) { int i; for (i = 0; i < 16; i++) r[i] = s[i]; } #define R(I,J) r[IT(I,J)] void set_ident(TRANSFORM r) { R(1, 1) = 1; // hard code for speed R(2, 1) = 0; R(3, 1) = 0; R(4, 1) = 0; R(1, 2) = 0; R(2, 2) = 1; R(3, 2) = 0; R(4, 2) = 0; R(1, 3) = 0; R(2, 3) = 0; R(3, 3) = 1; R(4, 3) = 0; R(1, 4) = 0; R(2, 4) = 0; R(3, 4) = 0; R(4, 4) = 1; } void set_scale(TRANSFORM r, FLOAT sx, FLOAT sy, FLOAT sz) { set_ident(r); R(1, 1) = sx; R(2, 2) = sy; R(3, 3) = sz; } void set_translation(TRANSFORM r, FLOAT dx, FLOAT dy, FLOAT dz) { set_ident(r); R(1, 4) = dx; R(2, 4) = dy; R(3, 4) = dz; } #define SQR(A) ((A) * (A)) void set_angle_axis_rot(TRANSFORM r, FLOAT theta, VECTOR_3D u) { FLOAT c = cos(theta); FLOAT s = sin(theta); FLOAT d = 1 - c; R(1, 1) = d * (SQR(u[X]) - 1) + 1; R(1, 2) = d * u[X] * u[Y] - u[Z] * s; R(1, 3) = d * u[X] * u[Z] + u[Y] * s; R(2, 1) = d * u[X] * u[Y] + u[Z] * s; R(2, 2) = d * (SQR(u[Y]) - 1) + 1; R(2, 3) = d * u[Y] * u[Z] - u[X] * s; R(3, 1) = d * u[X] * u[Z] - u[Y] * s; R(3, 2) = d * u[Y] * u[Z] + u[X] * s; R(3, 3) = d * (SQR(u[Z]) - 1) + 1; R(1, 4) = R(4, 1) = R(2, 4) = R(4, 2) = R(3, 4) = R(4, 3) = 0; R(4, 4) = 1; } void set_angle_axis_rot_about_point(TRANSFORM r, FLOAT theta, POINT_3D p, VECTOR_3D u) { VECTOR_3D u_unit; TRANSFORM tmp; if (u) { find_unit_vec_3d(u_unit, u); } else { u_unit[X] = u_unit[Y] = 0; u_unit[Z] = 1; } set_angle_axis_rot(r, theta, u_unit); if (p) { set_translation(tmp, -p[X], -p[Y], -p[Z]); compose(r, r, tmp); set_translation(tmp, p[X], p[Y], p[Z]); compose(r, tmp, r); } } void set_perspective_projection(TRANSFORM r, FLOAT p) { set_scale(r, p, p, p); R(4, 4) = 0; R(4, 3) = -1; } void set_perspective_transform(TRANSFORM r, FLOAT p) { set_scale(r, p, p, 1); R(3, 4) = 1; R(4, 3) = -1; R(4, 4) = 0; } void set_parallel_projection(TRANSFORM r) { set_scale(r, 1, 1, 0); } void set_view_transform(TRANSFORM r, POINT_3D eye, VECTOR_3D vd, VECTOR_3D up) { static VECTOR_3D default_up = { 0, 1, 0 }; VECTOR_3D unit_vd, unit_up, h, v; TRANSFORM tmp; if (vd) { find_unit_vec_3d(unit_vd, vd); } else { negate_vec_3d(unit_vd, eye); // assumes point and vector are compatible find_unit_vec_3d(unit_vd, unit_vd); } if (up) find_unit_vec_3d(unit_up, up); else copy_vec_3d(unit_up, default_up); cross(h, unit_vd, unit_up); cross(v, h, unit_vd); R(1, 1) = h[X]; R(1, 2) = h[Y]; R(1, 3) = h[Z]; R(1, 4) = 0; R(2, 1) = v[X]; R(2, 2) = v[Y]; R(2, 3) = v[Z]; R(2, 4) = 0; R(3, 1) = -unit_vd[X]; R(3, 2) = -unit_vd[Y]; R(3, 3) = -unit_vd[Z]; R(3, 4) = 0; R(4, 1) = 0; R(4, 2) = 0; R(4, 3) = 0; R(4, 4) = 1; if (eye) { set_translation(tmp, -eye[X], -eye[Y], -eye[Z]); compose(r, r, tmp); } } void set_view_transform_with_look_at(TRANSFORM r, POINT_3D eye, POINT_3D look_at, VECTOR_3D up) { VECTOR_3D vd; sub_vecs_3d(vd, look_at, eye); set_view_transform(r, eye, vd, up); } #define M(I,J) m[IT(I,J)] // invert a transform using the method of cofactors // this code was generated by the Perl program geninv.pl void invert(TRANSFORM r, FLOAT * det_rtn, TRANSFORM m, FLOAT min_det) { int i; FLOAT det; FLOAT t001, t002, t003, t004, t005, t006, t007, t008, t009, t010, t011, t012, t013, t014, t015, t016, t017, t018, t019, t020, t021, t022, t023, t024, t025, t026, t027, t028, t029, t030, t031, t032, t033, t034, t035, t036, t037, t038, t039, t040, t057, t058, t061, t062, t065, t066, t072, t073, t076, t077, t085, t086, t097, t098, t101, t102, t105, t106, t112, t113, t116, t117, t125, t126; t001 = M(3, 3) * M(4, 4); t002 = M(3, 4) * M(4, 3); t003 = t001 - t002; t004 = M(2, 2) * t003; t005 = M(3, 2) * M(4, 4); t006 = M(3, 4) * M(4, 2); t007 = t006 - t005; t008 = M(2, 3) * t007; t009 = M(3, 2) * M(4, 3); t010 = M(3, 3) * M(4, 2); t011 = t009 - t010; t012 = M(2, 4) * t011; t013 = t004 + t008 + t012; R(1, 1) = t013; t014 = t002 - t001; t015 = M(2, 1) * t014; t016 = M(3, 1) * M(4, 4); t017 = M(3, 4) * M(4, 1); t018 = t016 - t017; t019 = M(2, 3) * t018; t020 = M(3, 1) * M(4, 3); t021 = M(3, 3) * M(4, 1); t022 = t021 - t020; t023 = M(2, 4) * t022; t024 = t015 + t019 + t023; R(2, 1) = t024; t025 = t005 - t006; t026 = M(2, 1) * t025; t027 = t017 - t016; t028 = M(2, 2) * t027; t029 = M(3, 1) * M(4, 2); t030 = M(3, 2) * M(4, 1); t031 = t029 - t030; t032 = M(2, 4) * t031; t033 = t026 + t028 + t032; R(3, 1) = t033; t034 = t010 - t009; t035 = M(2, 1) * t034; t036 = t020 - t021; t037 = M(2, 2) * t036; t038 = t030 - t029; t039 = M(2, 3) * t038; t040 = t035 + t037 + t039; R(4, 1) = t040; det = (M(1, 1) * t013) + (M(1, 2) * t024) + (M(1, 3) * t033) + (M(1, 4) * t040); R(1, 2) = (M(1, 2) * t014) + (M(1, 3) * t025) + (M(1, 4) * t034); R(2, 2) = (M(1, 1) * t003) + (M(1, 3) * t027) + (M(1, 4) * t036); R(3, 2) = (M(1, 1) * t007) + (M(1, 2) * t018) + (M(1, 4) * t038); R(4, 2) = (M(1, 1) * t011) + (M(1, 2) * t022) + (M(1, 3) * t031); t057 = M(2, 3) * M(4, 4); t058 = M(2, 4) * M(4, 3); t061 = M(2, 2) * M(4, 4); t062 = M(2, 4) * M(4, 2); t065 = M(2, 2) * M(4, 3); t066 = M(2, 3) * M(4, 2); R(1, 3) = ((t057 - t058) * M(1, 2)) + ((t062 - t061) * M(1, 3)) + ((t065 - t066) * M(1, 4)); t072 = M(2, 1) * M(4, 4); t073 = M(2, 4) * M(4, 1); t076 = M(2, 1) * M(4, 3); t077 = M(2, 3) * M(4, 1); R(2, 3) = ((t058 - t057) * M(1, 1)) + ((t072 - t073) * M(1, 3)) + ((t077 - t076) * M(1, 4)); t085 = M(2, 1) * M(4, 2); t086 = M(2, 2) * M(4, 1); R(3, 3) = ((t061 - t062) * M(1, 1)) + ((t073 - t072) * M(1, 2)) + ((t085 - t086) * M(1, 4)); R(4, 3) = ((t066 - t065) * M(1, 1)) + ((t076 - t077) * M(1, 2)) + ((t086 - t085) * M(1, 3)); t097 = M(2, 3) * M(3, 4); t098 = M(2, 4) * M(3, 3); t101 = M(2, 2) * M(3, 4); t102 = M(2, 4) * M(3, 2); t105 = M(2, 2) * M(3, 3); t106 = M(2, 3) * M(3, 2); R(1, 4) = ((t098 - t097) * M(1, 2)) + ((t101 - t102) * M(1, 3)) + ((t106 - t105) * M(1, 4)); t112 = M(2, 1) * M(3, 4); t113 = M(2, 4) * M(3, 1); t116 = M(2, 1) * M(3, 3); t117 = M(2, 3) * M(3, 1); R(2, 4) = ((t097 - t098) * M(1, 1)) + ((t113 - t112) * M(1, 3)) + ((t116 - t117) * M(1, 4)); t125 = M(2, 1) * M(3, 2); t126 = M(2, 2) * M(3, 1); R(3, 4) = ((t102 - t101) * M(1, 1)) + ((t112 - t113) * M(1, 2)) + ((t126 - t125) * M(1, 4)); R(4, 4) = ((t105 - t106) * M(1, 1)) + ((t117 - t116) * M(1, 2)) + ((t125 - t126) * M(1, 3)); if (-min_det <= det && det <= min_det) { *det_rtn = 0; } else { *det_rtn = det; for (i = 0; i < 16; i++) r[i] *= 1 / det; } } #define A(I,J) a[IT(I,J)] #define B(I,J) b[IT(I,J)] void compose_unsafe(TRANSFORM r, TRANSFORM a, TRANSFORM b) { int i, j; FLOAT *p = r; for (j = 1; j <= 4; j++) for (i = 1; i <= 4; i++) *p++ = A(i, 1) * B(1, j) + A(i, 2) * B(2, j) + A(i, 3) * B(3, j) + A(i, 4) * B(4, j); } void compose(TRANSFORM r, TRANSFORM a, TRANSFORM b) { TRANSFORM t; compose_unsafe(t, a, b); copy_transform(r, t); } void transform_pt_3d(POINT_3D r, TRANSFORM m, POINT_3D p) { POINT_3D t; FLOAT wi; wi = 1 / (M(4, 1) * p[X] + M(4, 2) * p[Y] + M(4, 3) * p[Z] + M(4, 4)); t[X] = (M(1, 1) * p[X] + M(1, 2) * p[Y] + M(1, 3) * p[Z] + M(1, 4)) * wi; t[Y] = (M(2, 1) * p[X] + M(2, 2) * p[Y] + M(2, 3) * p[Z] + M(2, 4)) * wi; t[Z] = (M(3, 1) * p[X] + M(3, 2) * p[Y] + M(3, 3) * p[Z] + M(3, 4)) * wi; copy_pt_3d(r, t); } void transform_vec_3d(VECTOR_3D r, TRANSFORM m, VECTOR_3D v) { VECTOR_3D t; t[X] = M(1, 1) * v[X] + M(1, 2) * v[Y] + M(1, 3) * v[Z]; t[Y] = M(2, 1) * v[X] + M(2, 2) * v[Y] + M(2, 3) * v[Z]; t[Z] = M(3, 1) * v[X] + M(3, 2) * v[Y] + M(3, 3) * v[Z]; copy_vec_3d(r, t); } void set_ident_quat(QUATERNION q) { q[W] = 1; q[X] = q[Y] = q[Z] = 0; } void set_angle_axis_quat(QUATERNION q, FLOAT theta, VECTOR_3D axis) { VECTOR_3D v; find_unit_vec_3d(v, axis); scale_vec_3d(&q[X], v, sin(theta)); q[W] = cos(theta); } void mult_quat(QUATERNION r, QUATERNION a, QUATERNION b) { r[W] = a[W] * b[W] - a[X] * b[X] - a[Y] * b[Y] - a[Z] * b[Z]; r[X] = a[W] * b[X] + a[X] * b[W] + a[Y] * b[Z] - a[Z] * b[Y]; r[Y] = a[W] * b[Y] - a[X] * b[Z] + a[Y] * b[W] + a[Z] * b[X]; r[Z] = a[W] * b[Z] + a[X] * b[Y] - a[Y] * b[X] + a[Z] * b[W]; } #define R(I,J) r[IT(I,J)] #define SQR(A) ((A) * (A)) void find_rot_from_quat(TRANSFORM r, QUATERNION q) { FLOAT len2 = SQR(q[W]) + SQR(q[X]) + SQR(q[Y]) + SQR(q[Z]); FLOAT s = len2 > 0 ? 2 / len2 : 0; R(1, 1) = 1 - s * (SQR(q[Y]) + SQR(q[Z])); R(1, 2) = s * (q[X] * q[Y] - q[W] * q[Z]); R(1, 3) = s * (q[X] * q[Z] + q[W] * q[Y]); R(2, 1) = s * (q[X] * q[Y] + q[W] * q[Z]); R(2, 2) = 1 - s * (SQR(q[X]) + SQR(q[Z])); R(2, 3) = s * (q[Y] * q[Z] - q[W] * q[X]); R(3, 1) = s * (q[X] * q[Z] - q[W] * q[Y]); R(3, 2) = s * (q[Y] * q[Z] + q[W] * q[X]); R(3, 3) = 1 - s * (SQR(q[X]) + SQR(q[Y])); R(1, 4) = R(4, 1) = R(2, 4) = R(4, 2) = R(3, 4) = R(4, 3) = 0; R(4, 4) = 1; } void find_quat_from_rot(QUATERNION q, TRANSFORM r) { if (R(1, 1) + R(2, 2) + R(3, 3) >= 0) { // w first FLOAT w2 = sqrt(R(1, 1) + R(2, 2) + R(3, 3) + 1); q[W] = 0.5 * w2; // 1st q[X] = (0.5 / w2) * (R(3, 2) - R(2, 3)); // (f) q[Y] = (0.5 / w2) * (R(1, 3) - R(3, 1)); // (d) q[Z] = (0.5 / w2) * (R(2, 1) - R(1, 2)); // (b) return; } // x, y, or z first if (R(1, 1) > R(2, 2)) if (R(1, 1) > R(3, 3)) goto x_first; else goto z_first; else // R(2,2) >= R(1,1) if (R(2, 2) > R(3, 3)) goto y_first; else goto z_first; x_first:{ FLOAT x2 = sqrt(R(1, 1) - R(2, 2) - R(3, 3) + 1); q[W] = (0.5 / x2) * (R(3, 2) - R(2, 3)); // (f) q[X] = 0.5 * x2; // 1st q[Y] = (0.5 / x2) * (R(2, 1) + R(1, 2)); // (a) q[Z] = (0.5 / x2) * (R(1, 3) + R(3, 1)); // (c) return; } y_first:{ FLOAT y2 = sqrt(-R(1, 1) + R(2, 2) - R(3, 3) + 1); q[W] = (0.5 / y2) * (R(1, 3) - R(3, 1)); // (d) q[X] = (0.5 / y2) * (R(2, 1) + R(1, 2)); // (a) q[Y] = 0.5 * y2; // 1st q[Z] = (0.5 / y2) * (R(3, 2) + R(2, 3)); // (e) return; } z_first:{ FLOAT z2 = sqrt(-R(1, 1) - R(2, 2) + R(3, 3) + 1); q[W] = (0.5 / z2) * (R(2, 1) - R(1, 2)); // (b) q[X] = (0.5 / z2) * (R(1, 3) + R(3, 1)); // (c) q[Y] = (0.5 / z2) * (R(3, 2) + R(2, 3)); // (e) q[Z] = 0.5 * z2; // 1st return; } } #undef R void make_cso_polygon_2d(POLYGON_2D * r, POLYGON_2D * a, POINT_2D p, POLYGON_2D * b) { int j, ia, ja, ib, jb, ir, nb; FLOAT x, y, dx_a, dy_a, dx_b, dy_b; setup_polygon_2d(r, a->n_sides + b->n_sides); r->n_sides = a->n_sides + b->n_sides; ja = 0; x = a->v[ja][X]; for (j = 1; j < a->n_sides; j++) if (a->v[j][X] < x) { x = a->v[j][X]; ja = j; } jb = 0; x = b->v[0][X]; for (j = 1; j < b->n_sides; j++) if (b->v[j][X] > x) { x = b->v[j][X]; jb = j; } // this point is certain to be an extreme point of the cso x = b->v[jb][X] + (p[X] - a->v[ja][X]); y = b->v[jb][Y] + (p[Y] - a->v[ja][Y]); ia = (ja + 1) % a->n_sides; dx_a = a->v[ja][X] - a->v[ia][X]; dy_a = a->v[ja][Y] - a->v[ia][Y]; ib = (jb + 1) % b->n_sides; dx_b = b->v[ib][X] - b->v[jb][X]; dy_b = b->v[ib][Y] - b->v[jb][Y]; nb = b->n_sides; ir = 0; for (;;) { // record obstacle polygon point and quit if done r->v[ir][X] = x; r->v[ir][Y] = y; if (++ir == r->n_sides) break; // merge next edge of lowest theta. */ if (nb == 0 || dx_a * dy_b - dy_a * dx_b > 0) { x += dx_a; y += dy_a; ja = ia; ia = (ja + 1) % a->n_sides; dx_a = a->v[ja][X] - a->v[ia][X]; dy_a = a->v[ja][Y] - a->v[ia][Y]; } else { x += dx_b; y += dy_b; jb = ib; ib = (jb + 1) % b->n_sides; dx_b = b->v[ib][X] - b->v[jb][X]; dy_b = b->v[ib][Y] - b->v[jb][Y]; nb--; } } } int point_near_convex_polygon_2d_p(POINT_2D p, POLYGON_2D * a, FLOAT eps) { int i, j; VECTOR_2D vji_perp, vjp; // if the point is more than eps right of any edge, we're outside for (i = 0, j = a->n_sides - 1; i < a->n_sides; j = i++) { vji_perp[X] = a->v[j][Y] - a->v[i][Y]; vji_perp[Y] = a->v[i][X] - a->v[j][X]; find_unit_vec_2d(vji_perp, vji_perp); sub_pts_2d(vjp, p, a->v[j]); if (dot_2d(vjp, vji_perp) <= eps) return 0; } // else we're inside! return 1; } int point_inside_convex_polygon_2d_p(POINT_2D p, POLYGON_2D * a) { int i, j; // if the point is right of any edge, we're outside for (i = 0, j = a->n_sides - 1; i < a->n_sides; j = i++) if ((p[X] - a->v[j][X]) * (a->v[i][Y] - a->v[j][Y]) - (p[Y] - a->v[j][Y]) * (a->v[i][X] - a->v[j][X]) >= 0) return 0; // else we're inside! return 1; } // The Franklin code... int point_inside_polygon_2d_p(POINT_2D p, POLYGON_2D * a) { int i, j, r = 0; for (i = 0, j = a->n_sides - 1; i < a->n_sides; j = i++) { if (((a->v[i][Y] <= p[Y] && p[Y] < a->v[j][Y]) || (a->v[j][Y] <= p[Y] && p[Y] < a->v[i][Y])) && (p[X] < (a->v[j][X] - a->v[i][X]) * (p[Y] - a->v[i][Y]) / (a->v[j][Y] - a->v[i][Y]) + a->v[i][X])) r ^= 1; } return r; } #ifdef TEST_INVERT void print_transform(TRANSFORM m) { int i, j; printf("[\n"); for (i = 1; i <= 4; i++) { printf("["); for (j = 1; j <= 4; j++) { printf(" %8.3g", m[IT(i, j)]); } printf("]\n"); } printf("]\n"); } int main(void) { TRANSFORM m = { 1, 0, 1, 1, 2, 4, 0, 19, 3, 5, 6, 57, 14, -3, 34, 1 }, r; FLOAT det; VECTOR_3D axis = { 1, 2, 3 }; POINT_3D pt = { -10, 2, 41 }; // set_angle_axis_rot_about_point(m, 30, pt, axis); print_transform(m); invert(r, &det, m, 1e-4); printf("det=%.3g\n", det); print_transform(r); invert(m, &det, r, 1e-4); printf("det=%.3g\n", det); print_transform(m); } #endif #ifdef TEST_DYNARRAY_H // we need a dynamic arrao of these things typedef struct foo_t { char *name; int count; } FOO; typedef struct foo_array_t { DYNAMIC_ARRAY_FIELDS(FOO, val, n_vals); } FOO_ARRAY; // do the prototypes for the constructor, destructor, and accessor functions DECLARE_DYNAMIC_ARRAY_PROTOS(FOO_ARRAY, FOO, foo_list, val, n_vals) // ---- in foo.c ---- // create the bodies for the constructor, destructor, and accessor functions DECLARE_DYNAMIC_ARRAY_FUNCS(FOO_ARRAY, FOO, foo_list, val, n_vals) // use all the new stuff! void do_stuff_with_foos(void) { int i; char buf[100]; FOO_ARRAY list[1]; // or FOO_ARRAY list; but then we're forever &'ing FOO_ARRAY copy[1]; init_foo_list(list); // do this JUST ONCE right after declaration init_foo_list(copy); // (not necessary for static/global decls) setup_foo_list(list, 10); // allow for 10 elements // read some data and push it on the list tail while (scanf("%d %s", &i, buf) == 2) { // get pointer to new (empty) element at the end of array FOO *p = pushed_foo_list_val(list); // fill in field values p->name = strdup(buf); p->count = i; } // shows unsafe access to elements printf("forward listing:\n"); for (i = 0; i < list->n_vals; i++) printf("name=%s count=%d (%d)\n", list->val[i].name, // fast unsafe access foo_list_val_ptr(list, i)->count, // slower safe pointer access foo_list_val(list, i).count); // copying access copy_foo_list_filled(copy, list); // copies only filled elements // print in reverse order by popping from tail printf("backward listing:\n"); while (copy->n_vals > 0) { FOO *p = popped_foo_list_val(copy); printf("name=%s count=%d\n", p->name, p->count); } // clear out all the allocated storage for the ilst clear_foo_list(list); clear_foo_list(copy); } #endif sketch-0.3.7/geometry.h0100644000076400010400000002777711722043474017622 0ustar freddieresslerAdministrators/* geometry.h Copyright (C) 2005,2006,2007,2008 Eugene K. Ressler, Jr. This file is part of Sketch, a small, simple system for making 3d drawings with LaTeX and the PSTricks or TikZ package. Sketch 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, or (at your option) any later version. Sketch 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 Sketch; see the file COPYING.txt. If not, see http://www.gnu.org/copyleft */ #ifndef __GEOMETRY_H #define __GEOMETRY_H // ---- memory ----------------------------------------------------------------- #include // floating point definitions #include "dynarray.h" // dynamic arrays // bit N #define bit(N) (1u << (N)) // size of a static or auto declared array #define ARRAY_SIZE(A) (sizeof (A) / sizeof (A)[0]) // checking memory allocators void *safe_malloc(unsigned size); void *safe_realloc(void *p, unsigned size); char *safe_strdup(char *str); void safe_free(void *p); #ifdef _DEBUG #define malloc(N) __call_safe_malloc_instead() #define realloc(P,N) __call_safe_alloc_instead() #define strdup(S) __call_safe_alloc_instead() #define free(P) __call_safe_free_instead() #endif // ---- numerics --------------------------------------------------------------- // float declarations to ease compilation // with either single or double precision typedef unsigned int SIZE, INDEX; typedef double FLOAT; #define FLOAT_SCAN_FMT "%lf" #define FLOAT_EPS (8*DBL_EPSILON) #define FLOAT_MIN FLT_MIN #define FLOAT_MAX FLT_MAX #ifdef _MSC_VER // kill loss of precision warnings for case where FLOAT is float #pragma warning(disable:4244 4305) #endif #define PI ((FLOAT)3.1415926535897932384626433832795028841971693993751) // Max and min operators FLOAT max_float(FLOAT x, FLOAT y); FLOAT min_float(FLOAT x, FLOAT y); // ---- points ----------------------------------------------------------------- // indices #define X 0 #define Y 1 #define Z 2 #define W 3 // points typedef FLOAT POINT_2D[2], POINT_3D[3]; void copy_pt_2d(POINT_2D r, POINT_2D s); void copy_pt_3d(POINT_3D r, POINT_3D s); void find_pt_3d_from_2d(POINT_3D r, POINT_2D pt); // ---- polylines -------------------------------------------------------------- // polylines are just dynamic arrays of points typedef struct polyline_2d_t { DYNAMIC_2D_ARRAY_FIELDS(POINT_2D, v, n_vertices); struct polyline_2d_t *next; } POLYLINE_2D; DECLARE_DYNAMIC_2D_ARRAY_PROTOS(POLYLINE_2D, POINT_2D, FLOAT, polyline_2d, v, n_vertices); typedef struct polyline_3d_t { DYNAMIC_2D_ARRAY_FIELDS(POINT_3D, v, n_vertices); struct polyline_3d_t *next; } POLYLINE_3D; DECLARE_DYNAMIC_2D_ARRAY_PROTOS(POLYLINE_3D, POINT_3D, FLOAT, polyline_3d, v, n_vertices); // ---- polygons --------------------------------------------------------------- // polygons are just a dynamic arrays of points; chains represent complex polygons typedef struct polygon_2d_t { DYNAMIC_2D_ARRAY_FIELDS(POINT_2D, v, n_sides); struct polygon_2d_t *next; } POLYGON_2D; DECLARE_DYNAMIC_2D_ARRAY_PROTOS(POLYGON_2D, POINT_2D, FLOAT, polygon_2d, v, n_sides); typedef struct polygon_3d_t { DYNAMIC_2D_ARRAY_FIELDS(POINT_3D, v, n_sides); struct polygon_3d_t *next; } POLYGON_3D; DECLARE_DYNAMIC_2D_ARRAY_PROTOS(POLYGON_3D, POINT_3D, FLOAT, polygon_3d, v, n_sides); // ---- vectors ---------------------------------------------------------------- typedef FLOAT *VECTOR; // vectors of dynamic length void init_vec(VECTOR * v); void clear_vec(VECTOR * v); void setup_vec(VECTOR * v, SIZE n); void init_and_setup_vec(VECTOR * v, SIZE n); void zero_vec(VECTOR r, SIZE n); void copy_vec(VECTOR r, VECTOR v, SIZE n); // vectors of useful static length. typedef FLOAT VECTOR_2D[2], VECTOR_3D[3], VECTOR_4D[4]; FLOAT length_vec_2d(VECTOR_2D v); FLOAT length_vec_3d(VECTOR_3D v); FLOAT dist_2d(POINT_2D p1, POINT_2D p2); FLOAT dist_3d(POINT_3D p1, POINT_3D p2); FLOAT length_vec_2d_sqr(VECTOR_2D v); FLOAT length_vec_3d_sqr(VECTOR_3D v); FLOAT dist_2d_sqr(POINT_2D p1, POINT_2D p2); FLOAT dist_3d_sqr(POINT_3D p1, POINT_3D p2); void zero_vec_2d(VECTOR_2D v); void zero_vec_3d(VECTOR_3D v); void negate_vec_2d(VECTOR_2D r, VECTOR_2D v); void negate_vec_3d(VECTOR_3D r, VECTOR_3D v); void copy_vec_2d(VECTOR_2D r, VECTOR_2D s); void copy_vec_3d(VECTOR_3D r, VECTOR_3D s); void scale_vec_2d(VECTOR_2D r, VECTOR_2D v, FLOAT s); void scale_vec_3d(VECTOR_3D r, VECTOR_3D v, FLOAT s); int find_unit_vec_2d(VECTOR_2D r, VECTOR_2D v); int find_unit_vec_3d(VECTOR_3D r, VECTOR_3D v); void add_vecs_2d(VECTOR_2D r, VECTOR_2D a, VECTOR_2D b); void add_vecs_3d(VECTOR_3D r, VECTOR_3D a, VECTOR_3D b); void sub_vecs_2d(VECTOR_2D r, VECTOR_2D a, VECTOR_2D b); void sub_vecs_3d(VECTOR_3D r, VECTOR_3D a, VECTOR_3D b); void add_vec_to_pt_2d(POINT_2D r, POINT_2D pt, VECTOR_2D v); void add_vec_to_pt_3d(POINT_3D r, POINT_3D pt, VECTOR_3D v); void add_scaled_vec_to_pt_2d(POINT_2D r, POINT_2D pt, VECTOR_2D v, FLOAT s); void add_scaled_vec_to_pt_3d(POINT_3D r, POINT_3D pt, VECTOR_3D v, FLOAT s); void sub_pts_2d(VECTOR_2D r, POINT_2D a, POINT_2D b); void sub_pts_3d(VECTOR_3D r, POINT_3D a, POINT_3D b); void fold_min_pt_2d(POINT_2D min, POINT_2D new_pt); void fold_min_pt_3d(POINT_3D min, POINT_3D new_pt); void fold_max_pt_2d(POINT_2D max, POINT_2D new_pt); void fold_max_pt_3d(POINT_3D max, POINT_3D new_pt); FLOAT dot_2d(VECTOR_2D a, VECTOR_2D b); FLOAT dot_3d(VECTOR_3D a, VECTOR_3D b); void cross(VECTOR_3D r, VECTOR_3D a, VECTOR_3D b); // linear interpolation operators void lerp_2d(POINT_2D r, FLOAT t, POINT_2D p1, POINT_2D p2); void lerp_3d(POINT_3D r, FLOAT t, POINT_3D p1, POINT_3D p2); // find parameters of intersection point of two line segments int line_intersect_2d(POINT_2D a, POINT_2D b, POINT_2D c, POINT_2D d, FLOAT eps, FLOAT * t_ab, FLOAT * t_cd); // ---- planes ----------------------------------------------------------------- typedef struct plane_t { VECTOR_3D n; POINT_3D p; FLOAT c; } PLANE; // return description of the plane of a polygon using Newell's method void find_polygon_plane(PLANE * plane, POLYGON_3D * polygon); #define S_IN (1) #define S_ON (2) #define S_OUT (4) #define S_IN_ON (S_ON | 8) #define S_OUT_ON (S_ON | 16) #define S_SPLIT (32) // #define PLANE_HALF_THICKNESS (10.0 * FLOAT_EPS) #define PLANE_HALF_THICKNESS (.001/2) // given a plane of thickness 2 * half_thickness, return: // S_IN or S_OUT if the point is resp. inside or outside the thickness of the plane // S_IN_ON or S_OUT_ON if the point is within half_thickness of the plane on the resp. side // S_ON if the point is precisely on the plane; no IN or OUT determination can be made int pt_side_of_plane(PLANE * plane, POINT_3D p); // given a polygon and a plane, return: // S_IN if all the verices are IN or ON the thickened plane // S_OUT if all the verices are OUTside or ON the thickened plane // S_ON if all vertice are ON the thickened plane // S_SPLIT otherwise int polygon_side_of_plane(POLYGON_3D * polygon, PLANE * plane); // given a polyline and a plane, return: // S_IN if all segments of the line are fully INside the thickened plane // S_OUT if all segments of the line are fully OUTside the thickened plane // S_ON if all vertice are ON the thickened plane // S_SPLIT otherwise int polyline_side_of_plane(POLYLINE_3D * polyline, PLANE * plane); // ---- boxes ------------------------------------------------------------------ typedef struct box_2d_t { POINT_2D min, max; } BOX_2D; typedef struct box_3d_t { POINT_3D min, max; } BOX_3D; void init_box_2d(BOX_2D * b); void init_box_3d(BOX_3D * b); void fold_min_max_pt_2d(BOX_2D * b, POINT_2D p); void fold_min_max_pt_3d(BOX_3D * b, POINT_3D p); void fold_min_max_polygon_2d(BOX_2D * b, POLYGON_2D * polygon); void fold_min_max_polygon_3d(BOX_3D * b, POLYGON_3D * polygon); void fold_min_max_polyline_2d(BOX_2D * b, POLYLINE_2D * polyline); void fold_min_max_polyline_3d(BOX_3D * b, POLYLINE_3D * polyline); void copy_box_2d(BOX_2D * r, BOX_2D * s); void copy_box_3d(BOX_3D * r, BOX_3D * s); int boxes_2d_intersect_p(BOX_2D * a, BOX_2D * b); int boxes_3d_intersect_p(BOX_2D * a, BOX_2D * b); // ---- transformations -------------------------------------------------------- // homogeneous transform stored in column major order typedef FLOAT TRANSFORM[16]; // for initializations of identity transforms #define IDENT_TRANSFORM \ { 1.0, 0.0, 0.0, 0.0, \ 0.0, 1.0, 0.0, 0.0, \ 0.0, 0.0, 1.0, 0.0, \ 0.0, 0.0, 0.0, 1.0 } // ---- global contstants ------------------------------------------------------ extern TRANSFORM identity; extern POINT_2D origin_2d; extern POINT_3D origin_3d; extern VECTOR_2D I_2d; extern VECTOR_2D J_2d; extern VECTOR_3D I_3d; extern VECTOR_3D J_3d; extern VECTOR_3D K_3d; // row-column tranform indexing matches OpenGL convention: column major #define IT(I,J) (4 * ((J) - 1) + ((I) - 1)) // copy source to result transform void copy_transform(TRANSFORM r, TRANSFORM s); // set the result transform to the identity void set_ident(TRANSFORM r); // create a rotation transform thru angle theta about axis u (must be unit vec) void set_angle_axis_rot(TRANSFORM r, FLOAT theta, VECTOR_3D u); // create a rotation transform thru angle theta // u is optional axis which need not be a unit vector (default is [0,0,1]) // p is optional center of rotation (default is (0,0,0)) void set_angle_axis_rot_about_point(TRANSFORM r, FLOAT theta, POINT_3D p, VECTOR_3D u); // create a scale transform void set_scale(TRANSFORM r, FLOAT sx, FLOAT sy, FLOAT sz); // create a translation transform void set_translation(TRANSFORM r, FLOAT dx, FLOAT dy, FLOAT dz); // create a true perspective projection (depth = p for all projected points) void set_perspective_projection(TRANSFORM r, FLOAT p); // create a perspective transformation (depth is a pseudodepth) void set_perspective_transform(TRANSFORM r, FLOAT p); // create a true parallel projection (depth = 0 for all projected points) void set_parallel_projection(TRANSFORM r); // create an OpenGL-like view transformation matrix void set_view_transform(TRANSFORM r, POINT_3D eye, VECTOR_3D vd, VECTOR_3D up); void set_view_transform_with_look_at(TRANSFORM r, POINT_3D eye, POINT_3D look_at, VECTOR_3D up); // invert a given transform m; return its determinant; we give up if the // determinant is too small void invert(TRANSFORM r, FLOAT * det_rtn, TRANSFORM m, FLOAT min_det); // compose two transforms, but result cannot be the same as either operand void compose_unsafe(TRANSFORM r, TRANSFORM a, TRANSFORM b); // same as above, but safe to use either operand to hold result. void compose(TRANSFORM r, TRANSFORM a, TRANSFORM b); void transform_pt_3d(POINT_3D r, TRANSFORM m, POINT_3D p); void transform_vec_3d(VECTOR_3D r, TRANSFORM m, VECTOR_3D p); // ---- quaternions ------------------------------------------------------------ typedef FLOAT QUATERNION[4]; // for initializations of identity quaternions #define IDENT_QUAT { 0.0, 0.0, 0.0, 1.0 } void set_ident_quat(QUATERNION q); void set_angle_axis_quat(QUATERNION q, FLOAT theta, VECTOR_3D axis); void find_rot_from_quat(TRANSFORM r, QUATERNION q); void find_quat_from_rot(QUATERNION q, TRANSFORM r); void mult_quat(QUATERNION r, QUATERNION a, QUATERNION b); // clear any storage for vertices in a polygon; after this, // its state is the same as after init_polygon_2d() void clear_polygon_2d(POLYGON_2D * poly); // compute minkowski difference B - A with distinguished point p void make_cso_polygon_2d(POLYGON_2D * r, POLYGON_2D * a, POINT_2D p, POLYGON_2D * b); // checks to see if p is left of or on all the edges of polygon a. int point_inside_convex_polygon_2d_p(POINT_2D p, POLYGON_2D * a); // checks to see if p is no more than eps right of all the edges of polygon a. int point_near_convex_polygon_2d_p(POINT_2D p, POLYGON_2D * a, FLOAT eps); #endif sketch-0.3.7/geomio.c0100644000076400010400000000344011722043474017216 0ustar freddieresslerAdministrators/* geomio.c Copyright (C) 2005,2006,2007,2008 Eugene K. Ressler, Jr. This file is part of Sketch, a small, simple system for making 3d drawings with LaTeX and the PSTricks or TikZ package. Sketch 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, or (at your option) any later version. Sketch 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 Sketch; see the file COPYING.txt. If not, see http://www.gnu.org/copyleft */ #include "geomio.h" void print_pt_2d(FILE * f, POINT_2D pt) { fprintf(f, "(%.3f,%.3f)", pt[X], pt[Y]); } void print_pt_3d(FILE * f, POINT_3D pt) { fprintf(f, "(%.3f,%.3f,%.3f)", pt[X], pt[Y], pt[Z]); } void print_polyline_3d(FILE * f, POLYLINE_3D * polyline) { int i; fprintf(f, "\\line"); for (i = 0; i < polyline->n_vertices; i++) print_pt_3d(f, polyline->v[i]); fprintf(f, "\n"); } void print_polygon_2d(FILE * f, POLYGON_2D * polygon) { int i; fprintf(f, "\\polygon"); for (i = 0; i < polygon->n_sides; i++) print_pt_2d(f, polygon->v[i]); fprintf(f, "\n"); } void print_polygon_3d(FILE * f, POLYGON_3D * polygon) { int i; fprintf(f, "\\polygon"); for (i = 0; i < polygon->n_sides; i++) print_pt_3d(f, polygon->v[i]); fprintf(f, "\n"); } void print_plane(FILE * f, PLANE * plane) { fprintf(f, "\\plane[n=%.3f %.3f %.3f,p=%.3f %.3f %.3f,c=%.3f]\n", plane->n[X], plane->n[Y], plane->n[Z], plane->p[X], plane->p[Y], plane->p[Z], plane->c); } sketch-0.3.7/geomio.h0100644000076400010400000000223711722043474017226 0ustar freddieresslerAdministrators/* geomio.h Copyright (C) 2005,2006,2007,2008 Eugene K. Ressler, Jr. This file is part of Sketch, a small, simple system for making 3d drawings with LaTeX and the PSTricks or TikZ package. Sketch 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, or (at your option) any later version. Sketch 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 Sketch; see the file COPYING.txt. If not, see http://www.gnu.org/copyleft */ #ifndef __GEOMIO_H #define __GEOMIO_H #include #include "geometry.h" void print_pt_2d(FILE * f, POINT_2D pt); void print_pt_3d(FILE * f, POINT_3D pt); void print_polyline_3d(FILE * f, POLYLINE_3D * polyline); void print_polygon_2d(FILE * f, POLYGON_2D * polygon); void print_polygon_3d(FILE * f, POLYGON_3D * polygon); void print_plane(FILE * f, PLANE * plane); #endif sketch-0.3.7/global.c0100644000076400010400000001043711722043474017203 0ustar freddieresslerAdministrators/* global.c Copyright (C) 2005,2006,2007,2008 Eugene K. Ressler, Jr. This file is part of Sketch, a small, simple system for making 3d drawings with LaTeX and the PSTricks or TikZ package. Sketch 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, or (at your option) any later version. Sketch 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 Sketch; see the file COPYING.txt. If not, see http://www.gnu.org/copyleft */ #include "global.h" GLOBAL_ENV __the_global_env[1]; // must match GEOL_lang definitions in global.h char *output_language_str[] = { "PSTricks,LaTeX", "PGF/TikZ,LaTeX", "PSTricks,ConTeXt", "PGF/TikZ,ConTeXt", }; void init_global_env(GLOBAL_ENV * env, PST_VERSION * pst_version, TIKZ_VERSION * tikz_version) { env->set_p_mask = 0; set_ident(env->camera); copy_pt_3d(env->bb1, origin_3d); copy_pt_3d(env->bb2, origin_3d); init_opts(env->opts); env->baseline = 0; env->output_language = GEOL_PSTRICKS | GEOL_LATEX; *env->pst_version = *pst_version; *env->tikz_version = *tikz_version; } void set_global_baseline(GLOBAL_ENV * env, FLOAT baseline, SRC_LINE line) { if (baseline == NO_BASELINE) return; if (global_env_is_set_p(env, GE_BASELINE)) { err(line, "baseline is already set"); return; } env->set_p_mask |= bit(GE_BASELINE); env->baseline = baseline; } void set_global_env_extent(GLOBAL_ENV * env, POINT_3D p1, POINT_3D p2, SRC_LINE line) { if (global_env_is_set_p(env, GE_EXTENT)) { err(line, "bounding box is already set"); return; } env->set_p_mask |= bit(GE_EXTENT); copy_pt_3d(env->bb1, p1); copy_pt_3d(env->bb2, p2); } int get_transformed_global_env_extent(BOX_3D * extent, GLOBAL_ENV * env) { POINT_3D t; int i; if (!global_env_is_set_p(env, GE_EXTENT)) return 0; init_box_3d(extent); if (global_env_is_set_p(env, GE_CAMERA)) { for (i = 0; i < 8; i++) { t[X] = (i & 1) ? env->bb1[X] : env->bb2[X]; t[Y] = (i & 2) ? env->bb1[Y] : env->bb2[Y]; t[Z] = (i & 4) ? env->bb1[Z] : env->bb2[Z]; transform_pt_3d(t, env->camera, t); fold_min_max_pt_3d(extent, t); } } else { fold_min_max_pt_3d(extent, env->bb1); fold_min_max_pt_3d(extent, env->bb2); } return 1; } void set_global_env_opts(GLOBAL_ENV * env, char *opt_str, SRC_LINE line) { if (global_env_is_set_p(env, GE_OPTS)) { err(line, "global options are already set"); return; } env->set_p_mask |= bit(GE_OPTS); setup_opts(env->opts, opt_str, no_line); } void set_global_env_frame(GLOBAL_ENV * env, char *opt_str, SRC_LINE line) { if (global_env_is_set_p(env, GE_FRAME)) { err(line, "frame is already set"); return; } env->set_p_mask |= bit(GE_FRAME); safe_free(env->frame_opts); env->frame_opts = opt_str ? safe_strdup(opt_str) : NULL; } void set_global_env_camera(GLOBAL_ENV * env, TRANSFORM camera, SRC_LINE line) { if (global_env_is_set_p(env, GE_CAMERA)) { err(line, "camera is already set"); return; } env->set_p_mask |= bit(GE_CAMERA); copy_transform(env->camera, camera); } void set_global_output_language(GLOBAL_ENV * env, int output_language, SRC_LINE line) { if (global_env_is_set_p(env, GE_OUTPUT_LANGUAGE)) { err(line, "output language is already set"); return; } env->set_p_mask |= bit(GE_OUTPUT_LANGUAGE); env->output_language = output_language; } int get_global_output_language(int *output_language, GLOBAL_ENV * env) { *output_language = env->output_language; return global_env_is_set_p(env, GE_OUTPUT_LANGUAGE); } int cmp_with_global_pst_version(GLOBAL_ENV * env, char *version_str, SRC_LINE line) { PST_VERSION v[1]; parse_pst_version(v, version_str, line); return pst_version_cmp(env->pst_version, v); } int cmp_with_global_tikz_version(GLOBAL_ENV * env, char *version_str, SRC_LINE line) { PST_VERSION v[1]; parse_tikz_version(v, version_str, line); return tikz_version_cmp(env->tikz_version, v); } sketch-0.3.7/global.h0100644000076400010400000000561311722043474017210 0ustar freddieresslerAdministrators/* global.h Copyright (C) 2005,2006,2007,2008 Eugene K. Ressler, Jr. This file is part of Sketch, a small, simple system for making 3d drawings with LaTeX and the PSTricks or TikZ package. Sketch 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, or (at your option) any later version. Sketch 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 Sketch; see the file COPYING.txt. If not, see http://www.gnu.org/copyleft */ #ifndef __GLOBAL_H #define __GLOBAL_H #include "opts.h" #include "error.h" #include "geometry.h" #include "langver.h" #define GE_EXTENT 0 #define GE_BASELINE 1 #define GE_OPTS 2 #define GE_FRAME 3 #define GE_SPLIT 4 #define GE_CAMERA 8 #define GE_OUTPUT_LANGUAGE 9 // these must match table in opt.c and global.c #define GEOL_GRAPHICS_BIT 1 #define GEOL_TEX_MACROS_BIT 2 #define GEOL_PSTRICKS (GEOL_GRAPHICS_BIT*0) #define GEOL_TIKZ (GEOL_GRAPHICS_BIT*1) #define GEOL_LATEX (GEOL_TEX_MACROS_BIT*0) #define GEOL_CONTEXT (GEOL_TEX_MACROS_BIT*1) // this must match string table in global.c extern char *output_language_str[]; typedef struct global_env_t { unsigned set_p_mask; OPTS opts[1]; POINT_3D bb1, bb2; // bounding box char *frame_opts; // null if frame has none FLOAT baseline; int split_p; TRANSFORM camera; int output_language; PST_VERSION pst_version[1]; TIKZ_VERSION tikz_version[1]; } GLOBAL_ENV; #define global_env_is_set_p(Env, F) ((Env)->set_p_mask & bit(F)) void init_global_env(GLOBAL_ENV * env, PST_VERSION * pst_version, TIKZ_VERSION * tikz_version); void set_global_baseline(GLOBAL_ENV * env, FLOAT baseline, SRC_LINE line); #define NO_BASELINE FLT_MAX void set_global_env_extent(GLOBAL_ENV * env, POINT_3D p1, POINT_3D p2, SRC_LINE line); int get_transformed_global_env_extent(BOX_3D * extent, GLOBAL_ENV * env); void set_global_env_opts(GLOBAL_ENV * env, char *opt_str, SRC_LINE line); void set_global_env_frame(GLOBAL_ENV * env, char *opt_str, SRC_LINE line); void set_global_env_camera(GLOBAL_ENV * env, TRANSFORM camera, SRC_LINE line); void set_global_output_language(GLOBAL_ENV * env, int output_language, SRC_LINE line); int get_global_output_language(int *output_language, GLOBAL_ENV * env); int cmp_with_global_pst_version(GLOBAL_ENV * env, char *version_str, SRC_LINE line); int cmp_with_global_tikz_version(GLOBAL_ENV * env, char *version_str, SRC_LINE line); extern GLOBAL_ENV __the_global_env[1]; #define global_env __the_global_env #endif sketch-0.3.7/langver.c0100644000076400010400000000563711722043474017407 0ustar freddieresslerAdministrators/* langver.c Copyright (C) 2005,2006,2007,2008 Eugene K. Ressler, Jr. This file is part of Sketch, a small, simple system for making 3d drawings with LaTeX and the PSTricks or TikZ package. Sketch 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, or (at your option) any later version. Sketch 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 Sketch; see the file COPYING.txt. If not, see http://www.gnu.org/copyleft */ #include #include "langver.h" int is_digit(int ch) { return '0' <= ch && ch <= '9'; } int lower(int ch) { return ('A' <= ch && ch <= 'Z') ? ch + ('a' - 'A') : ch; } int is_alpha(int ch) { return ('a' <= ch && ch <= 'z') || ('A' <= ch && ch <= 'Z'); } int parse_pst_version(PST_VERSION * v, char *str, SRC_LINE line) { #define M (sizeof v->key / 2) int i = 0, iv = 0, i_minor = -1; memset(v->key, '0', sizeof v->key); memset(v->str, '\0', sizeof v->str); if (strlen(str) > sizeof v->str - 1) { err(line, "PSTricks version string too long"); return 1; } //A : if (is_digit(str[i])) { v->str[iv++] = str[i++]; goto B; } else { err(line, "bad character '%c' in PSTricks version", str[i]); return 2; } B: if (is_digit(str[i])) { v->str[iv++] = str[i++]; goto B; } else if (str[i] == '.') { memcpy(&v->key[M - i], v->str, i); // save major in key v->str[iv++] = str[i++]; i_minor = iv; // remember where minor version starts goto C; } else { err(line, "expected dot in PSTricks version"); return 3; } C: if (is_digit(str[i])) { v->str[iv++] = str[i++]; goto D; } else { err(line, "expected digit after dot in PSTricks version"); return 4; } D: if (is_digit(str[i])) { v->str[iv++] = str[i++]; goto D; } else if (is_alpha(str[i])) { v->str[iv++] = lower(str[i++]); goto F; } else if (str[i] == '\0') { memcpy(&v->key[M], &v->str[i_minor], i - i_minor); // save minor in key return 0; /* accept */ } else { err(line, "expected digit or subversion letter in PSTricks version"); return 5; } F: if (str[i] == '\0') { memcpy(&v->key[M], &v->str[i_minor], i - i_minor); return 0; /* accept */ } else { err(line, "expected end of PSTricks version, found '%c'", str[i]); return 6; } return -1; } int pst_version_cmp(PST_VERSION * a, PST_VERSION * b) { return strncmp(a->key, b->key, sizeof a->key); } int parse_tikz_version(TIKZ_VERSION * v, char *str, SRC_LINE line) { return parse_pst_version(v, str, line); } int tikz_version_cmp(TIKZ_VERSION * a, TIKZ_VERSION * b) { return pst_version_cmp(a, b); } sketch-0.3.7/langver.h0100644000076400010400000000335611722043474017410 0ustar freddieresslerAdministrators/* langver.h Copyright (C) 2005,2006,2007,2008 Eugene K. Ressler, Jr. This file is part of Sketch, a small, simple system for making 3d drawings with LaTeX and the PSTricks or TikZ package. Sketch 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, or (at your option) any later version. Sketch 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 Sketch; see the file COPYING.txt. If not, see http://www.gnu.org/copyleft */ #ifndef __LANGVER_H #define __LANGVER_H #include "error.h" #define MAX_PST_VERSION_STRING_SIZE 10 typedef struct pst_version_t { char str[MAX_PST_VERSION_STRING_SIZE]; char key[MAX_PST_VERSION_STRING_SIZE * 2]; } PST_VERSION; int parse_pst_version(PST_VERSION * v, char *str, SRC_LINE line); int pst_version_cmp(PST_VERSION * a, PST_VERSION * b); /* Version 1.20 added linejoin option, where pstverb was needed previously. */ #define PST_LINEJOIN_VERSION 1.20 /* This should be set to the latest version that makes a difference for Sketch output. */ #define ASSUMED_PST_VERSION PST_LINEJOIN_VERSION /* TikZ versions are just like PSTricks versions (except no letter qualifiers yet */ typedef PST_VERSION TIKZ_VERSION; int parse_tikz_version(TIKZ_VERSION * v, char *str, SRC_LINE line); int tikz_version_cmp(TIKZ_VERSION * a, TIKZ_VERSION * b); #define TIKZ_DECORATIONS_VERSION 2.00 #define ASSUMED_TIKZ_VERSION TIKZ_DECORATIONS_VERSION #endif sketch-0.3.7/lex.yy.c0100644000076400010400000020672711722043474017204 0ustar freddieresslerAdministrators/* A lexical scanner generated by flex */ /* Scanner skeleton version: * $Header: /home/daffy/u0/vern/flex/RCS/flex.skl,v 2.91 96/09/10 16:58:48 vern Exp $ */ #define FLEX_SCANNER #define YY_FLEX_MAJOR_VERSION 2 #define YY_FLEX_MINOR_VERSION 5 #include /* cfront 1.2 defines "c_plusplus" instead of "__cplusplus" */ #ifdef c_plusplus #ifndef __cplusplus #define __cplusplus #endif #endif #ifdef __cplusplus #include #include /* Use prototypes in function declarations. */ #define YY_USE_PROTOS /* The "const" storage-class-modifier is valid. */ #define YY_USE_CONST #else /* ! __cplusplus */ #if __STDC__ #define YY_USE_PROTOS #define YY_USE_CONST #endif /* __STDC__ */ #endif /* ! __cplusplus */ #ifdef __TURBOC__ #pragma warn -rch #pragma warn -use #include #include #define YY_USE_CONST #define YY_USE_PROTOS #endif #ifdef YY_USE_CONST #define yyconst const #else #define yyconst #endif #ifdef YY_USE_PROTOS #define YY_PROTO(proto) proto #else #define YY_PROTO(proto) () #endif /* Returned upon end-of-file. */ #define YY_NULL 0 /* Promotes a possibly negative, possibly signed char to an unsigned * integer for use as an array index. If the signed char is negative, * we want to instead treat it as an 8-bit unsigned char, hence the * double cast. */ #define YY_SC_TO_UI(c) ((unsigned int) (unsigned char) c) /* Enter a start condition. This macro really ought to take a parameter, * but we do it the disgusting crufty way forced on us by the ()-less * definition of BEGIN. */ #define BEGIN yy_start = 1 + 2 * /* Translate the current start state into a value that can be later handed * to BEGIN to return to the state. The YYSTATE alias is for lex * compatibility. */ #define YY_START ((yy_start - 1) / 2) #define YYSTATE YY_START /* Action number for EOF rule of a given start state. */ #define YY_STATE_EOF(state) (YY_END_OF_BUFFER + state + 1) /* Special action meaning "start processing a new file". */ #define YY_NEW_FILE yyrestart( yyin ) #define YY_END_OF_BUFFER_CHAR 0 /* Size of default input buffer. */ #define YY_BUF_SIZE 16384 typedef struct yy_buffer_state *YY_BUFFER_STATE; extern int yyleng; extern FILE *yyin, *yyout; #define EOB_ACT_CONTINUE_SCAN 0 #define EOB_ACT_END_OF_FILE 1 #define EOB_ACT_LAST_MATCH 2 /* The funky do-while in the following #define is used to turn the definition * int a single C statement (which needs a semi-colon terminator). This * avoids problems with code like: * * if ( condition_holds ) * yyless( 5 ); * else * do_something_else(); * * Prior to using the do-while the compiler would get upset at the * "else" because it interpreted the "if" statement as being all * done when it reached the ';' after the yyless() call. */ /* Return all but the first 'n' matched characters back to the input stream. */ #define yyless(n) \ do \ { \ /* Undo effects of setting up yytext. */ \ *yy_cp = yy_hold_char; \ YY_RESTORE_YY_MORE_OFFSET \ yy_c_buf_p = yy_cp = yy_bp + n - YY_MORE_ADJ; \ YY_DO_BEFORE_ACTION; /* set up yytext again */ \ } \ while ( 0 ) #define unput(c) yyunput( c, yytext_ptr ) /* The following is because we cannot portably get our hands on size_t * (without autoconf's help, which isn't available because we want * flex-generated scanners to compile on their own). */ typedef unsigned int yy_size_t; struct yy_buffer_state { FILE *yy_input_file; char *yy_ch_buf; /* input buffer */ char *yy_buf_pos; /* current position in input buffer */ /* Size of input buffer in bytes, not including room for EOB * characters. */ yy_size_t yy_buf_size; /* Number of characters read into yy_ch_buf, not including EOB * characters. */ int yy_n_chars; /* Whether we "own" the buffer - i.e., we know we created it, * and can realloc() it to grow it, and should free() it to * delete it. */ int yy_is_our_buffer; /* Whether this is an "interactive" input source; if so, and * if we're using stdio for input, then we want to use getc() * instead of fread(), to make sure we stop fetching input after * each newline. */ int yy_is_interactive; /* Whether we're considered to be at the beginning of a line. * If so, '^' rules will be active on the next match, otherwise * not. */ int yy_at_bol; /* Whether to try to fill the input buffer when we reach the * end of it. */ int yy_fill_buffer; int yy_buffer_status; #define YY_BUFFER_NEW 0 #define YY_BUFFER_NORMAL 1 /* When an EOF's been seen but there's still some text to process * then we mark the buffer as YY_EOF_PENDING, to indicate that we * shouldn't try reading from the input source any more. We might * still have a bunch of tokens to match, though, because of * possible backing-up. * * When we actually see the EOF, we change the status to "new" * (via yyrestart()), so that the user can continue scanning by * just pointing yyin at a new input file. */ #define YY_BUFFER_EOF_PENDING 2 }; static YY_BUFFER_STATE yy_current_buffer = 0; /* We provide macros for accessing buffer states in case in the * future we want to put the buffer states in a more general * "scanner state". */ #define YY_CURRENT_BUFFER yy_current_buffer /* yy_hold_char holds the character lost when yytext is formed. */ static char yy_hold_char; static int yy_n_chars; /* number of characters read into yy_ch_buf */ int yyleng; /* Points to current character in buffer. */ static char *yy_c_buf_p = (char *) 0; static int yy_init = 1; /* whether we need to initialize */ static int yy_start = 0; /* start state number */ /* Flag which is used to allow yywrap()'s to do buffer switches * instead of setting up a fresh yyin. A bit of a hack ... */ static int yy_did_buffer_switch_on_eof; void yyrestart YY_PROTO(( FILE *input_file )); void yy_switch_to_buffer YY_PROTO(( YY_BUFFER_STATE new_buffer )); void yy_load_buffer_state YY_PROTO(( void )); YY_BUFFER_STATE yy_create_buffer YY_PROTO(( FILE *file, int size )); void yy_delete_buffer YY_PROTO(( YY_BUFFER_STATE b )); void yy_init_buffer YY_PROTO(( YY_BUFFER_STATE b, FILE *file )); void yy_flush_buffer YY_PROTO(( YY_BUFFER_STATE b )); #define YY_FLUSH_BUFFER yy_flush_buffer( yy_current_buffer ) YY_BUFFER_STATE yy_scan_buffer YY_PROTO(( char *base, yy_size_t size )); YY_BUFFER_STATE yy_scan_string YY_PROTO(( yyconst char *yy_str )); YY_BUFFER_STATE yy_scan_bytes YY_PROTO(( yyconst char *bytes, int len )); static void *yy_flex_alloc YY_PROTO(( yy_size_t )); static void *yy_flex_realloc YY_PROTO(( void *, yy_size_t )); static void yy_flex_free YY_PROTO(( void * )); #define yy_new_buffer yy_create_buffer #define yy_set_interactive(is_interactive) \ { \ if ( ! yy_current_buffer ) \ yy_current_buffer = yy_create_buffer( yyin, YY_BUF_SIZE ); \ yy_current_buffer->yy_is_interactive = is_interactive; \ } #define yy_set_bol(at_bol) \ { \ if ( ! yy_current_buffer ) \ yy_current_buffer = yy_create_buffer( yyin, YY_BUF_SIZE ); \ yy_current_buffer->yy_at_bol = at_bol; \ } #define YY_AT_BOL() (yy_current_buffer->yy_at_bol) typedef unsigned char YY_CHAR; FILE *yyin = (FILE *) 0, *yyout = (FILE *) 0; typedef int yy_state_type; extern char *yytext; #define yytext_ptr yytext static yy_state_type yy_get_previous_state YY_PROTO(( void )); static yy_state_type yy_try_NUL_trans YY_PROTO(( yy_state_type current_state )); static int yy_get_next_buffer YY_PROTO(( void )); static void yy_fatal_error YY_PROTO(( yyconst char msg[] )); /* Done after the current pattern has been matched and before the * corresponding action - sets up yytext. */ #define YY_DO_BEFORE_ACTION \ yytext_ptr = yy_bp; \ yyleng = (int) (yy_cp - yy_bp); \ yy_hold_char = *yy_cp; \ *yy_cp = '\0'; \ yy_c_buf_p = yy_cp; #define YY_NUM_RULES 59 #define YY_END_OF_BUFFER 60 static yyconst short int yy_accept[293] = { 0, 0, 0, 0, 0, 60, 58, 2, 3, 1, 58, 56, 56, 56, 50, 58, 40, 56, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 56, 59, 59, 2, 1, 0, 43, 44, 45, 0, 0, 50, 50, 50, 0, 0, 42, 0, 40, 0, 0, 0, 0, 0, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 0, 0, 0, 57, 0, 0, 46, 0, 0, 50, 0, 50, 0, 0, 0, 41, 0, 0, 0, 0, 0, 47, 0, 0, 0, 40, 40, 40, 40, 40, 40, 40, 13, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 19, 40, 40, 40, 21, 40, 40, 40, 40, 40, 40, 40, 40, 40, 0, 0, 0, 0, 49, 51, 0, 0, 0, 55, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 40, 40, 40, 40, 40, 0, 27, 40, 14, 40, 40, 40, 40, 40, 40, 17, 40, 40, 40, 40, 40, 40, 40, 40, 0, 34, 40, 40, 40, 23, 7, 40, 40, 40, 0, 0, 53, 4, 0, 0, 0, 48, 0, 25, 0, 24, 40, 40, 40, 11, 15, 40, 10, 40, 40, 8, 40, 40, 40, 40, 40, 40, 40, 40, 40, 0, 36, 22, 40, 0, 38, 0, 39, 54, 0, 26, 12, 40, 16, 10, 40, 40, 40, 40, 40, 40, 40, 20, 40, 0, 33, 40, 40, 9, 40, 40, 40, 40, 18, 40, 40, 0, 32, 35, 40, 0, 28, 5, 40, 40, 0, 31, 6, 35, 40, 40, 40, 40, 40, 29, 0, 37, 40, 0, 30, 0 } ; static yyconst int yy_ec[256] = { 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 1, 4, 1, 5, 6, 7, 8, 9, 8, 9, 10, 8, 11, 11, 12, 11, 11, 11, 11, 11, 11, 11, 1, 1, 13, 14, 15, 1, 1, 16, 16, 16, 16, 17, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 18, 1, 19, 8, 20, 1, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 8, 48, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 } ; static yyconst int yy_meta[49] = { 0, 1, 2, 3, 1, 1, 1, 4, 1, 1, 1, 5, 5, 1, 6, 7, 8, 8, 1, 9, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 10 } ; static yyconst short int yy_base[316] = { 0, 0, 0, 905, 904, 950, 1119, 947, 1119, 0, 47, 49, 1119, 42, 45, 56, 919, 93, 40, 46, 48, 44, 45, 41, 89, 87, 49, 94, 104, 52, 56, 86, 1119, 877, 922, 0, 118, 1119, 1119, 1119, 132, 136, 133, 135, 155, 142, 146, 1119, 166, 903, 902, 907, 186, 234, 282, 135, 107, 153, 151, 225, 137, 156, 139, 157, 226, 230, 231, 95, 235, 237, 58, 242, 165, 236, 238, 311, 247, 312, 313, 250, 315, 314, 316, 249, 258, 317, 318, 342, 346, 872, 1119, 352, 354, 1119, 360, 362, 359, 362, 366, 383, 385, 387, 1119, 389, 0, 409, 418, 457, 1119, 423, 505, 553, 340, 361, 363, 376, 410, 432, 141, 899, 416, 373, 320, 413, 419, 348, 420, 421, 429, 411, 428, 423, 449, 898, 454, 460, 458, 897, 480, 385, 544, 464, 465, 478, 468, 545, 549, 573, 575, 577, 579, 1119, 1119, 584, 587, 593, 1119, 600, 896, 627, 1119, 603, 675, 636, 723, 894, 607, 646, 651, 338, 550, 471, 491, 1119, 591, 885, 592, 598, 604, 623, 631, 554, 869, 650, 667, 636, 639, 472, 647, 671, 640, 694, 1119, 672, 696, 683, 866, 815, 695, 715, 742, 737, 744, 1119, 1119, 792, 771, 747, 1119, 703, 1119, 749, 1119, 757, 692, 734, 747, 700, 733, 766, 736, 752, 694, 754, 738, 638, 684, 760, 741, 762, 811, 768, 813, 1119, 690, 771, 818, 1119, 820, 1119, 1119, 826, 1119, 594, 764, 563, 806, 805, 642, 813, 817, 807, 798, 814, 483, 841, 846, 1119, 826, 830, 475, 851, 835, 836, 842, 427, 863, 839, 871, 1119, 865, 850, 878, 1119, 379, 843, 859, 885, 1119, 281, 890, 875, 855, 862, 896, 876, 243, 901, 1119, 906, 908, 1119, 1119, 926, 936, 945, 952, 956, 964, 973, 981, 990, 997, 1004, 1011, 1019, 1029, 1038, 1045, 1054, 1061, 1069, 1079, 1089, 1098, 1108 } ; static yyconst short int yy_def[316] = { 0, 292, 1, 293, 293, 292, 292, 292, 292, 294, 292, 295, 292, 292, 292, 296, 297, 298, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 299, 292, 300, 292, 294, 292, 292, 292, 292, 301, 302, 292, 292, 292, 292, 303, 292, 304, 297, 297, 305, 292, 306, 292, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 307, 308, 300, 292, 309, 292, 292, 302, 302, 292, 292, 292, 310, 292, 304, 292, 304, 311, 312, 305, 306, 292, 107, 292, 313, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 314, 292, 308, 308, 292, 292, 309, 309, 310, 292, 310, 311, 312, 292, 159, 315, 305, 313, 292, 164, 297, 297, 297, 297, 297, 292, 292, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 292, 292, 297, 297, 297, 297, 297, 297, 297, 297, 314, 314, 292, 292, 315, 292, 205, 292, 292, 292, 292, 292, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 292, 292, 297, 297, 292, 292, 292, 292, 292, 292, 292, 297, 297, 297, 292, 297, 297, 297, 297, 297, 297, 297, 297, 297, 292, 292, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 292, 292, 297, 297, 292, 292, 297, 297, 297, 292, 292, 297, 292, 297, 297, 297, 297, 297, 297, 292, 292, 297, 292, 292, 0, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292 } ; static yyconst short int yy_nxt[1168] = { 0, 6, 7, 8, 9, 10, 11, 12, 12, 12, 13, 14, 14, 15, 12, 6, 16, 16, 17, 12, 6, 18, 16, 19, 20, 16, 21, 22, 16, 23, 16, 16, 24, 16, 16, 16, 25, 16, 26, 27, 28, 29, 30, 16, 16, 16, 16, 31, 12, 36, 36, 40, 40, 42, 42, 43, 44, 44, 46, 46, 50, 50, 45, 55, 50, 50, 50, 58, 50, 50, 45, 47, 50, 61, 74, 65, 50, 64, 50, 56, 57, 59, 63, 62, 75, 86, 85, 60, 87, 87, 130, 37, 38, 39, 51, 52, 52, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 50, 51, 50, 66, 54, 68, 51, 50, 50, 69, 76, 67, 77, 36, 36, 70, 78, 50, 71, 72, 50, 73, 127, 79, 80, 82, 83, 40, 40, 113, 81, 92, 92, 51, 51, 84, 93, 42, 42, 96, 96, 46, 46, 45, 97, 45, 98, 98, 50, 95, 50, 45, 50, 45, 50, 37, 38, 39, 43, 44, 44, 100, 100, 112, 50, 45, 50, 114, 118, 50, 50, 121, 120, 45, 102, 119, 174, 115, 50, 103, 51, 52, 52, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 104, 51, 105, 105, 51, 132, 51, 105, 105, 105, 105, 105, 105, 105, 105, 105, 105, 105, 105, 105, 105, 105, 105, 105, 105, 105, 105, 105, 105, 105, 105, 105, 105, 51, 51, 51, 106, 106, 51, 51, 51, 51, 51, 51, 51, 50, 50, 51, 104, 51, 50, 50, 51, 108, 109, 50, 50, 50, 50, 116, 129, 122, 50, 50, 117, 125, 123, 50, 136, 50, 50, 126, 124, 128, 134, 139, 133, 131, 50, 144, 143, 51, 51, 51, 110, 110, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 104, 51, 111, 111, 51, 50, 51, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 51, 51, 50, 50, 50, 50, 50, 50, 50, 50, 141, 50, 142, 177, 146, 87, 87, 145, 138, 148, 148, 213, 135, 137, 140, 92, 92, 92, 92, 50, 152, 50, 152, 92, 92, 292, 292, 150, 93, 50, 292, 96, 96, 154, 98, 98, 180, 45, 98, 98, 167, 95, 50, 95, 50, 45, 100, 100, 100, 100, 100, 100, 292, 292, 50, 151, 168, 50, 169, 156, 50, 156, 170, 102, 157, 292, 50, 176, 103, 193, 103, 51, 106, 106, 51, 51, 51, 51, 51, 51, 51, 106, 106, 51, 104, 51, 51, 51, 51, 160, 161, 50, 50, 104, 50, 172, 172, 50, 160, 173, 50, 50, 50, 292, 50, 179, 181, 182, 50, 50, 50, 171, 184, 50, 186, 178, 175, 51, 51, 51, 106, 106, 51, 51, 51, 51, 51, 51, 51, 183, 50, 51, 104, 51, 185, 50, 51, 108, 109, 50, 188, 50, 189, 191, 191, 50, 50, 192, 187, 50, 195, 190, 50, 50, 172, 172, 50, 215, 173, 50, 196, 50, 227, 198, 50, 51, 51, 51, 110, 110, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 104, 51, 162, 162, 51, 197, 51, 162, 162, 162, 162, 162, 162, 162, 162, 162, 162, 162, 162, 162, 162, 162, 162, 162, 162, 162, 162, 162, 162, 162, 162, 162, 162, 51, 51, 51, 163, 163, 51, 51, 51, 51, 51, 51, 51, 50, 50, 51, 104, 51, 50, 50, 51, 165, 166, 50, 148, 148, 148, 148, 148, 148, 292, 292, 50, 194, 199, 92, 92, 214, 292, 292, 152, 200, 202, 292, 100, 100, 150, 222, 150, 51, 51, 292, 292, 154, 51, 51, 154, 156, 51, 51, 50, 50, 157, 50, 292, 216, 217, 50, 218, 157, 203, 292, 203, 50, 151, 292, 292, 51, 106, 106, 51, 51, 51, 51, 51, 51, 51, 163, 163, 51, 104, 51, 50, 219, 51, 160, 161, 209, 209, 104, 50, 210, 211, 211, 206, 50, 212, 50, 50, 50, 220, 50, 225, 226, 230, 50, 50, 228, 262, 50, 50, 221, 251, 51, 51, 51, 163, 163, 51, 51, 51, 51, 51, 51, 51, 223, 50, 51, 104, 51, 50, 50, 51, 206, 207, 191, 191, 232, 232, 192, 231, 233, 50, 50, 209, 209, 252, 224, 210, 50, 229, 50, 243, 50, 50, 50, 236, 236, 234, 50, 237, 51, 51, 51, 163, 163, 51, 51, 51, 51, 51, 51, 51, 235, 50, 51, 104, 51, 148, 148, 51, 165, 166, 238, 238, 292, 292, 239, 51, 51, 211, 211, 50, 50, 212, 50, 202, 50, 241, 241, 50, 50, 242, 202, 245, 292, 50, 246, 246, 51, 51, 50, 248, 50, 247, 250, 50, 244, 249, 50, 254, 50, 253, 50, 203, 50, 255, 50, 258, 240, 50, 292, 51, 163, 163, 51, 51, 51, 51, 51, 51, 51, 259, 260, 51, 104, 51, 246, 246, 51, 206, 207, 256, 256, 232, 232, 257, 50, 233, 236, 236, 238, 238, 237, 50, 239, 50, 241, 241, 261, 50, 242, 50, 50, 50, 263, 50, 266, 51, 51, 265, 264, 268, 268, 267, 50, 269, 256, 256, 50, 271, 257, 272, 272, 50, 50, 273, 270, 50, 274, 50, 50, 50, 276, 277, 277, 280, 280, 278, 50, 50, 282, 268, 268, 50, 275, 269, 279, 50, 272, 272, 50, 50, 273, 50, 50, 277, 277, 50, 281, 278, 280, 280, 283, 50, 50, 285, 287, 287, 284, 289, 288, 287, 287, 50, 286, 288, 290, 290, 290, 290, 291, 208, 291, 204, 50, 50, 50, 50, 90, 104, 50, 50, 34, 90, 50, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 35, 35, 50, 35, 35, 35, 35, 35, 35, 35, 41, 41, 34, 292, 33, 33, 41, 48, 48, 292, 292, 292, 48, 48, 49, 292, 292, 49, 53, 53, 53, 53, 53, 292, 53, 53, 292, 53, 88, 88, 292, 292, 292, 292, 88, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 91, 91, 292, 292, 292, 292, 91, 94, 94, 94, 94, 292, 292, 94, 99, 99, 292, 292, 292, 292, 99, 101, 101, 292, 101, 292, 101, 101, 51, 51, 51, 51, 51, 51, 51, 51, 292, 51, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 147, 147, 292, 292, 292, 292, 147, 149, 149, 292, 149, 292, 292, 149, 292, 149, 153, 153, 153, 153, 292, 292, 153, 155, 155, 292, 155, 292, 155, 155, 158, 158, 158, 158, 158, 158, 158, 158, 292, 158, 159, 159, 159, 159, 159, 159, 159, 159, 159, 159, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 201, 201, 292, 201, 292, 292, 201, 292, 201, 205, 205, 205, 205, 205, 205, 205, 205, 205, 205, 5, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292 } ; static yyconst short int yy_chk[1168] = { 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 10, 10, 11, 11, 13, 13, 14, 14, 14, 15, 15, 18, 23, 14, 18, 21, 22, 19, 19, 20, 26, 14, 15, 29, 20, 26, 23, 30, 22, 70, 18, 18, 19, 21, 20, 26, 30, 29, 19, 31, 31, 70, 10, 10, 10, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 25, 17, 24, 24, 17, 25, 17, 27, 67, 25, 27, 24, 27, 36, 36, 25, 27, 28, 25, 25, 56, 25, 67, 27, 27, 28, 28, 40, 40, 56, 27, 41, 41, 17, 17, 28, 41, 42, 42, 43, 43, 46, 46, 42, 45, 43, 45, 45, 55, 41, 60, 42, 62, 43, 118, 36, 36, 36, 44, 44, 44, 48, 48, 55, 58, 44, 57, 57, 60, 61, 63, 63, 62, 44, 48, 61, 118, 58, 72, 48, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 72, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 59, 64, 53, 53, 53, 65, 66, 53, 53, 53, 68, 73, 69, 74, 59, 69, 64, 71, 286, 59, 66, 65, 76, 76, 83, 79, 66, 65, 68, 74, 79, 73, 71, 84, 84, 83, 53, 53, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 279, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 75, 77, 78, 81, 80, 82, 85, 86, 81, 122, 82, 122, 86, 87, 87, 85, 78, 88, 88, 169, 75, 77, 80, 91, 91, 92, 92, 169, 91, 112, 92, 94, 94, 95, 95, 88, 94, 125, 95, 96, 96, 91, 97, 97, 125, 96, 98, 98, 112, 94, 113, 95, 114, 96, 99, 99, 100, 100, 101, 101, 103, 103, 121, 88, 113, 115, 114, 99, 274, 100, 115, 101, 99, 103, 139, 121, 101, 139, 103, 105, 105, 105, 105, 105, 105, 105, 105, 105, 105, 106, 106, 105, 105, 105, 109, 109, 105, 105, 105, 116, 129, 106, 123, 117, 117, 120, 106, 117, 124, 126, 127, 109, 131, 124, 126, 127, 265, 130, 128, 116, 129, 117, 131, 123, 120, 105, 105, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 128, 132, 107, 107, 107, 130, 134, 107, 107, 107, 136, 134, 135, 135, 138, 138, 141, 142, 138, 132, 144, 141, 136, 171, 187, 172, 172, 260, 171, 172, 143, 142, 138, 187, 144, 254, 107, 107, 110, 110, 110, 110, 110, 110, 110, 110, 110, 110, 110, 110, 110, 110, 110, 110, 110, 110, 143, 110, 110, 110, 110, 110, 110, 110, 110, 110, 110, 110, 110, 110, 110, 110, 110, 110, 110, 110, 110, 110, 110, 110, 110, 110, 110, 110, 110, 110, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 140, 145, 111, 111, 111, 146, 170, 111, 111, 111, 181, 147, 147, 148, 148, 149, 149, 150, 150, 245, 140, 145, 153, 153, 170, 154, 154, 153, 146, 147, 154, 155, 155, 149, 181, 150, 111, 111, 157, 157, 153, 161, 161, 154, 155, 166, 166, 174, 176, 155, 243, 157, 174, 176, 177, 177, 157, 147, 161, 148, 178, 149, 166, 150, 159, 159, 159, 159, 159, 159, 159, 159, 159, 159, 163, 163, 159, 159, 159, 179, 178, 159, 159, 159, 167, 167, 163, 180, 167, 168, 168, 163, 185, 168, 225, 186, 190, 179, 248, 185, 186, 190, 167, 188, 188, 248, 183, 168, 180, 225, 159, 159, 162, 162, 162, 162, 162, 162, 162, 162, 162, 162, 183, 184, 162, 162, 162, 189, 193, 162, 162, 162, 191, 191, 194, 194, 191, 193, 194, 195, 226, 209, 209, 226, 184, 209, 234, 189, 214, 214, 222, 198, 194, 199, 199, 195, 217, 199, 162, 162, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 198, 199, 164, 164, 164, 201, 201, 164, 164, 164, 200, 200, 202, 202, 200, 207, 207, 211, 211, 218, 215, 211, 220, 201, 224, 213, 213, 228, 200, 213, 202, 218, 207, 216, 219, 219, 164, 164, 221, 221, 223, 220, 224, 213, 215, 223, 227, 228, 229, 227, 244, 201, 219, 229, 231, 231, 206, 235, 202, 205, 205, 205, 205, 205, 205, 205, 205, 205, 205, 235, 244, 205, 205, 205, 246, 246, 205, 205, 205, 230, 230, 232, 232, 230, 252, 232, 236, 236, 238, 238, 236, 247, 238, 251, 241, 241, 247, 230, 241, 249, 253, 197, 249, 250, 252, 205, 205, 251, 250, 255, 255, 253, 258, 255, 256, 256, 259, 259, 256, 261, 261, 262, 263, 261, 258, 267, 262, 255, 264, 275, 264, 266, 266, 270, 270, 266, 271, 261, 275, 268, 268, 282, 263, 268, 267, 276, 272, 272, 283, 266, 272, 270, 196, 277, 277, 182, 271, 277, 280, 280, 276, 281, 285, 282, 284, 284, 281, 285, 284, 287, 287, 175, 283, 287, 289, 289, 290, 290, 289, 165, 290, 158, 284, 137, 133, 119, 89, 51, 50, 49, 34, 33, 289, 293, 293, 293, 293, 293, 293, 293, 293, 293, 293, 294, 294, 16, 294, 294, 294, 294, 294, 294, 294, 295, 295, 7, 5, 4, 3, 295, 296, 296, 0, 0, 0, 296, 296, 297, 0, 0, 297, 298, 298, 298, 298, 298, 0, 298, 298, 0, 298, 299, 299, 0, 0, 0, 0, 299, 300, 300, 300, 300, 300, 300, 300, 300, 300, 300, 301, 301, 0, 0, 0, 0, 301, 302, 302, 302, 302, 0, 0, 302, 303, 303, 0, 0, 0, 0, 303, 304, 304, 0, 304, 0, 304, 304, 305, 305, 305, 305, 305, 305, 305, 305, 0, 305, 306, 306, 306, 306, 306, 306, 306, 306, 306, 306, 307, 307, 0, 0, 0, 0, 307, 308, 308, 0, 308, 0, 0, 308, 0, 308, 309, 309, 309, 309, 0, 0, 309, 310, 310, 0, 310, 0, 310, 310, 311, 311, 311, 311, 311, 311, 311, 311, 0, 311, 312, 312, 312, 312, 312, 312, 312, 312, 312, 312, 313, 313, 313, 313, 313, 313, 313, 313, 313, 313, 314, 314, 0, 314, 0, 0, 314, 0, 314, 315, 315, 315, 315, 315, 315, 315, 315, 315, 315, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292 } ; static yy_state_type yy_last_accepting_state; static char *yy_last_accepting_cpos; /* The intent behind this definition is that it'll catch * any uses of REJECT which flex missed. */ #define REJECT reject_used_but_not_detected #define yymore() yymore_used_but_not_detected #define YY_MORE_ADJ 0 #define YY_RESTORE_YY_MORE_OFFSET char *yytext; #line 1 "sketch.l" #define INITIAL 0 #line 2 "sketch.l" /* sketch.l Copyright (C) 2005,2006,2007,2008 Eugene K. Ressler, Jr. This file is part of Sketch, a small, simple system for making 3d drawings with LaTeX and the PSTricks or TikZ package. Sketch 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, or (at your option) any later version. Sketch 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 Sketch; see the file COPYING.txt. If not, see http://www.gnu.org/copyleft */ #include #include #include #include "geometry.h" #include "symbol.h" #include "expr.h" #include "parse.h" #include "y.tab.h" #include "error.h" #include "opts.h" #if defined(_WIN32) && !defined fileno #define fileno(F) _fileno(F) #pragma warning(disable:4102) #endif // undo the safety net in polygon.h so flex scanner can use these library functions #undef malloc #undef realloc #undef free #undef strdup SRC_LINE line; #define MAX_INPUT_DEPTH 10 struct { YY_BUFFER_STATE buffer_state; SRC_LINE line; } input_stack[MAX_INPUT_DEPTH]; int input_stack_ptr = 0; #define INIT_SPECIAL_BUF_SIZE 40 void update_line_number(void) { int i; for (i = 0; yytext[i]; i++) if (yytext[i] == '\n') line.number++; } #define inputdirective 1 #line 788 "lex.yy.c" /* Macros after this point can all be overridden by user definitions in * section 1. */ #ifndef YY_SKIP_YYWRAP #ifdef __cplusplus extern "C" int yywrap YY_PROTO(( void )); #else extern int yywrap YY_PROTO(( void )); #endif #endif #ifndef YY_NO_UNPUT static void yyunput YY_PROTO(( int c, char *buf_ptr )); #endif #ifndef yytext_ptr static void yy_flex_strncpy YY_PROTO(( char *, yyconst char *, int )); #endif #ifdef YY_NEED_STRLEN static int yy_flex_strlen YY_PROTO(( yyconst char * )); #endif #ifndef YY_NO_INPUT #ifdef __cplusplus static int yyinput YY_PROTO(( void )); #else static int input YY_PROTO(( void )); #endif #endif #if YY_STACK_USED static int yy_start_stack_ptr = 0; static int yy_start_stack_depth = 0; static int *yy_start_stack = 0; #ifndef YY_NO_PUSH_STATE static void yy_push_state YY_PROTO(( int new_state )); #endif #ifndef YY_NO_POP_STATE static void yy_pop_state YY_PROTO(( void )); #endif #ifndef YY_NO_TOP_STATE static int yy_top_state YY_PROTO(( void )); #endif #else #define YY_NO_PUSH_STATE 1 #define YY_NO_POP_STATE 1 #define YY_NO_TOP_STATE 1 #endif #ifdef YY_MALLOC_DECL YY_MALLOC_DECL #else #if __STDC__ #ifndef __cplusplus #include #endif #else /* Just try to get by without declaring the routines. This will fail * miserably on non-ANSI systems for which sizeof(size_t) != sizeof(int) * or sizeof(void*) != sizeof(int). */ #endif #endif /* Amount of stuff to slurp up with each read. */ #ifndef YY_READ_BUF_SIZE #define YY_READ_BUF_SIZE 8192 #endif /* Copy whatever the last rule matched to the standard output. */ #ifndef ECHO /* This used to be an fputs(), but since the string might contain NUL's, * we now use fwrite(). */ #define ECHO (void) fwrite( yytext, yyleng, 1, yyout ) #endif /* Gets input and stuffs it into "buf". number of characters read, or YY_NULL, * is returned in "result". */ #ifndef YY_INPUT #define YY_INPUT(buf,result,max_size) \ if ( yy_current_buffer->yy_is_interactive ) \ { \ int c = '*', n; \ for ( n = 0; n < max_size && \ (c = getc( yyin )) != EOF && c != '\n'; ++n ) \ buf[n] = (char) c; \ if ( c == '\n' ) \ buf[n++] = (char) c; \ if ( c == EOF && ferror( yyin ) ) \ YY_FATAL_ERROR( "input in flex scanner failed" ); \ result = n; \ } \ else if ( ((result = fread( buf, 1, max_size, yyin )) == 0) \ && ferror( yyin ) ) \ YY_FATAL_ERROR( "input in flex scanner failed" ); #endif /* No semi-colon after return; correct usage is to write "yyterminate();" - * we don't want an extra ';' after the "return" because that will cause * some compilers to complain about unreachable statements. */ #ifndef yyterminate #define yyterminate() return YY_NULL #endif /* Number of entries by which start-condition stack grows. */ #ifndef YY_START_STACK_INCR #define YY_START_STACK_INCR 25 #endif /* Report a fatal error. */ #ifndef YY_FATAL_ERROR #define YY_FATAL_ERROR(msg) yy_fatal_error( msg ) #endif /* Default declaration of generated scanner - a define so the user can * easily add parameters. */ #ifndef YY_DECL #define YY_DECL int yylex YY_PROTO(( void )) #endif /* Code executed at the beginning of each rule, after yytext and yyleng * have been set up. */ #ifndef YY_USER_ACTION #define YY_USER_ACTION #endif /* Code executed at the end of each rule. */ #ifndef YY_BREAK #define YY_BREAK break; #endif #define YY_RULE_SETUP \ YY_USER_ACTION YY_DECL { register yy_state_type yy_current_state; register char *yy_cp, *yy_bp; register int yy_act; #line 74 "sketch.l" #line 942 "lex.yy.c" if ( yy_init ) { yy_init = 0; #ifdef YY_USER_INIT YY_USER_INIT; #endif if ( ! yy_start ) yy_start = 1; /* first start state */ if ( ! yyin ) yyin = stdin; if ( ! yyout ) yyout = stdout; if ( ! yy_current_buffer ) yy_current_buffer = yy_create_buffer( yyin, YY_BUF_SIZE ); yy_load_buffer_state(); } while ( 1 ) /* loops until end-of-file is reached */ { yy_cp = yy_c_buf_p; /* Support of yytext. */ *yy_cp = yy_hold_char; /* yy_bp points to the position in yy_ch_buf of the start of * the current run. */ yy_bp = yy_cp; yy_current_state = yy_start; yy_match: do { register YY_CHAR yy_c = yy_ec[YY_SC_TO_UI(*yy_cp)]; if ( yy_accept[yy_current_state] ) { yy_last_accepting_state = yy_current_state; yy_last_accepting_cpos = yy_cp; } while ( yy_chk[yy_base[yy_current_state] + yy_c] != yy_current_state ) { yy_current_state = (int) yy_def[yy_current_state]; if ( yy_current_state >= 293 ) yy_c = yy_meta[(unsigned int) yy_c]; } yy_current_state = yy_nxt[yy_base[yy_current_state] + (unsigned int) yy_c]; ++yy_cp; } while ( yy_base[yy_current_state] != 1119 ); yy_find_action: yy_act = yy_accept[yy_current_state]; if ( yy_act == 0 ) { /* have to back up */ yy_cp = yy_last_accepting_cpos; yy_current_state = yy_last_accepting_state; yy_act = yy_accept[yy_current_state]; } YY_DO_BEFORE_ACTION; do_action: /* This label is used only to access EOF actions. */ switch ( yy_act ) { /* beginning of action switch */ case 0: /* must back up */ /* undo the effects of YY_DO_BEFORE_ACTION */ *yy_cp = yy_hold_char; yy_cp = yy_last_accepting_cpos; yy_current_state = yy_last_accepting_state; goto yy_find_action; case 1: YY_RULE_SETUP #line 76 "sketch.l" /* comment; do nothing */ YY_BREAK case 2: YY_RULE_SETUP #line 78 "sketch.l" /* white space; do nothing */ YY_BREAK case 3: YY_RULE_SETUP #line 80 "sketch.l" { line.number++; } YY_BREAK case 4: YY_RULE_SETUP #line 84 "sketch.l" { /* [=] */ // elide the brackets yylval.str = safe_malloc(yyleng + 1 - 2); str_slice(yylval.str, yyleng + 1 - 2, yytext, 1, -1); return OPTS_STR; } YY_BREAK case 5: YY_RULE_SETUP #line 91 "sketch.l" { return LANGUAGE; } YY_BREAK case 6: YY_RULE_SETUP #line 95 "sketch.l" { return PSTRICKS; } YY_BREAK case 7: YY_RULE_SETUP #line 99 "sketch.l" { return TIKZ; } YY_BREAK case 8: YY_RULE_SETUP #line 103 "sketch.l" { return LaTeX; } YY_BREAK case 9: YY_RULE_SETUP #line 107 "sketch.l" { return ConTeXt; } YY_BREAK case 10: YY_RULE_SETUP #line 111 "sketch.l" { update_line_number(); BEGIN(inputdirective); } YY_BREAK case 11: YY_RULE_SETUP #line 116 "sketch.l" { return CURVE; } YY_BREAK case 12: YY_RULE_SETUP #line 120 "sketch.l" { return CAMERA; } YY_BREAK case 13: YY_RULE_SETUP #line 124 "sketch.l" { return DEF; } YY_BREAK case 14: YY_RULE_SETUP #line 128 "sketch.l" { return DOTS; } YY_BREAK case 15: YY_RULE_SETUP #line 132 "sketch.l" { return FRAME; } YY_BREAK case 16: YY_RULE_SETUP #line 136 "sketch.l" { return GLOBAL; } YY_BREAK case 17: YY_RULE_SETUP #line 140 "sketch.l" { return LINE; } YY_BREAK case 18: YY_RULE_SETUP #line 144 "sketch.l" { return POLYGON; } YY_BREAK case 19: YY_RULE_SETUP #line 148 "sketch.l" { return PUT; } YY_BREAK case 20: YY_RULE_SETUP #line 152 "sketch.l" { return REPEAT; } YY_BREAK case 21: YY_RULE_SETUP #line 156 "sketch.l" { return SET; } YY_BREAK case 22: YY_RULE_SETUP #line 160 "sketch.l" { return SWEEP; } YY_BREAK case 23: YY_RULE_SETUP #line 164 "sketch.l" { return THEN; } YY_BREAK case 24: YY_RULE_SETUP #line 168 "sketch.l" { update_line_number(); return ASIN; } YY_BREAK case 25: YY_RULE_SETUP #line 173 "sketch.l" { update_line_number(); return ACOS; } YY_BREAK case 26: YY_RULE_SETUP #line 178 "sketch.l" { update_line_number(); return ATAN2; } YY_BREAK case 27: YY_RULE_SETUP #line 183 "sketch.l" { update_line_number(); return COS; } YY_BREAK case 28: YY_RULE_SETUP #line 188 "sketch.l" { update_line_number(); return INVERSE; } YY_BREAK case 29: YY_RULE_SETUP #line 193 "sketch.l" { return PICTUREBOX; } YY_BREAK case 30: YY_RULE_SETUP #line 197 "sketch.l" { update_line_number(); return PERSPECTIVE; } YY_BREAK case 31: YY_RULE_SETUP #line 202 "sketch.l" { update_line_number(); return PROJECT; } YY_BREAK case 32: YY_RULE_SETUP #line 207 "sketch.l" { update_line_number(); return ROTATE; } YY_BREAK case 33: YY_RULE_SETUP #line 212 "sketch.l" { update_line_number(); return SCALE; } YY_BREAK case 34: YY_RULE_SETUP #line 217 "sketch.l" { update_line_number(); return SIN; } YY_BREAK case 35: YY_RULE_SETUP #line 222 "sketch.l" { char *rtn; int max_rtn_len, delim, i, ch; update_line_number(); max_rtn_len = INIT_SPECIAL_BUF_SIZE - 1; rtn = safe_malloc(max_rtn_len + 1); i = 0; delim = input(); if (delim == EOF) { err(line, "expected special text, found end of file"); } else { while ((ch = input()) != delim && ch != EOF) { if (ch == '\n') ++line.number; if (i == max_rtn_len) { max_rtn_len *= 2; rtn = safe_realloc(rtn, max_rtn_len + 1); } rtn[i++] = ch; } if (ch != delim) err(line, "missing end delimeter '%c' in special", delim); } rtn[i] = '\0'; yylval.str = rtn; return SPECIAL; } YY_BREAK case 36: YY_RULE_SETUP #line 255 "sketch.l" { update_line_number(); return SQRT; } YY_BREAK case 37: YY_RULE_SETUP #line 260 "sketch.l" { update_line_number(); return TRANSLATE; } YY_BREAK case 38: YY_RULE_SETUP #line 265 "sketch.l" { update_line_number(); return UNIT; } YY_BREAK case 39: YY_RULE_SETUP #line 270 "sketch.l" { update_line_number(); return VIEW; } YY_BREAK case 40: YY_RULE_SETUP #line 275 "sketch.l" { str_slice(yylval.name, sizeof yylval.name, yytext, 0, sizeof yylval.name); return ID; } YY_BREAK case 41: YY_RULE_SETUP #line 280 "sketch.l" { str_slice(yylval.name, sizeof yylval.name, yytext, 1, -1); return ANGLE_ID; } YY_BREAK case 42: YY_RULE_SETUP #line 285 "sketch.l" { return EMPTY_ANGLE; } YY_BREAK case 43: YY_RULE_SETUP #line 289 "sketch.l" { update_line_number(); yylval.index = 0; return TICK; } YY_BREAK case 44: YY_RULE_SETUP #line 295 "sketch.l" { update_line_number(); yylval.index = 1; return TICK; } YY_BREAK case 45: YY_RULE_SETUP #line 301 "sketch.l" { update_line_number(); yylval.index = 2; return TICK; } YY_BREAK case 46: YY_RULE_SETUP #line 307 "sketch.l" { str_slice(yylval.name, sizeof yylval.name, yytext, 1, -1); return PAREN_ID; } YY_BREAK case 47: YY_RULE_SETUP #line 312 "sketch.l" { str_slice(yylval.name, sizeof yylval.name, yytext, 1, -1); return BRACKET_ID; } YY_BREAK case 48: YY_RULE_SETUP #line 317 "sketch.l" { str_slice(yylval.name, sizeof yylval.name, yytext, 2, -2); return DBL_BRACKET_ID; } YY_BREAK case 49: YY_RULE_SETUP #line 322 "sketch.l" { str_slice(yylval.name, sizeof yylval.name, yytext, 1, -1); return CURLY_ID; } YY_BREAK case 50: YY_RULE_SETUP #line 327 "sketch.l" { if (sscanf(yytext, FLOAT_SCAN_FMT, &yylval.flt) != 1) { err(line, "numeric constant %s could not be converted (probably out of range)", yytext); yylval.flt = 0; } return NUM; } YY_BREAK case 51: YY_RULE_SETUP #line 335 "sketch.l" { warn(line, "found parenthesized identifier '%s'; delete space if you meant a point ref", yytext); yyless(1); return '('; } YY_BREAK case 52: YY_RULE_SETUP #line 341 "sketch.l" { warn(line, "found id in brackets '%s'; delete space if you meant a vector ref", yytext); yyless(1); return '['; } YY_BREAK case 53: YY_RULE_SETUP #line 347 "sketch.l" { warn(line, "found id in braces '%s'; delete space if you meant a drawable ref", yytext); yyless(1); return '{'; } YY_BREAK case 54: YY_RULE_SETUP #line 353 "sketch.l" { warn(line, "found id in double-brackets '%s'; delete space if you meant a transform ref", yytext); yyless(1); return '['; } YY_BREAK case 55: YY_RULE_SETUP #line 359 "sketch.l" { warn(line, "found id in angle-brackets '%s'; delete space if you meant a tag ref", yytext); yyless(1); return '<'; } YY_BREAK case 56: YY_RULE_SETUP #line 365 "sketch.l" { return yytext[0]; } YY_BREAK case 57: YY_RULE_SETUP #line 369 "sketch.l" { FILE *f; char buf[1024]; int i; // Copy path from current sketch source file name, if any. i = str_last_occurance(line.file_name, "/\\"); if (i >= 0) { str_slice(buf, sizeof buf, line.file_name, 0, i + 1); } else { buf[0] = '\0'; } i = strlen(buf); str_slice(&buf[i], sizeof buf - i, yytext, 1, -1); if (input_stack_ptr >= MAX_INPUT_DEPTH) { err(line, "inputs nested too deeply (file '%s' ignored)", buf); } else { f = fopen(buf, "r"); if (f) { yyin = f; input_stack[input_stack_ptr].buffer_state = YY_CURRENT_BUFFER; input_stack[input_stack_ptr].line = line; input_stack_ptr++; yy_switch_to_buffer(yy_create_buffer(yyin, YY_BUF_SIZE)); line.number = 1; line.include_p = 1; line.file_name = safe_strdup(buf); } else err(line, "can't open input '%s'", buf); } BEGIN(INITIAL); } YY_BREAK case YY_STATE_EOF(INITIAL): case YY_STATE_EOF(inputdirective): #line 408 "sketch.l" { if (input_stack_ptr == 0) { yyterminate(); } else { yy_delete_buffer(YY_CURRENT_BUFFER); // don't free: refs may still exist for def locs in the symbol table // safe_free(line.file_name); --input_stack_ptr; yy_switch_to_buffer(input_stack[input_stack_ptr].buffer_state); line = input_stack[input_stack_ptr].line; } } YY_BREAK case 58: YY_RULE_SETUP #line 422 "sketch.l" { die(line, "bad char '%c' (%d)\n", yytext[0], (int)yytext[0]); } YY_BREAK case 59: YY_RULE_SETUP #line 426 "sketch.l" ECHO; YY_BREAK #line 1557 "lex.yy.c" case YY_END_OF_BUFFER: { /* Amount of text matched not including the EOB char. */ int yy_amount_of_matched_text = (int) (yy_cp - yytext_ptr) - 1; /* Undo the effects of YY_DO_BEFORE_ACTION. */ *yy_cp = yy_hold_char; YY_RESTORE_YY_MORE_OFFSET if ( yy_current_buffer->yy_buffer_status == YY_BUFFER_NEW ) { /* We're scanning a new file or input source. It's * possible that this happened because the user * just pointed yyin at a new source and called * yylex(). If so, then we have to assure * consistency between yy_current_buffer and our * globals. Here is the right place to do so, because * this is the first action (other than possibly a * back-up) that will match for the new input source. */ yy_n_chars = yy_current_buffer->yy_n_chars; yy_current_buffer->yy_input_file = yyin; yy_current_buffer->yy_buffer_status = YY_BUFFER_NORMAL; } /* Note that here we test for yy_c_buf_p "<=" to the position * of the first EOB in the buffer, since yy_c_buf_p will * already have been incremented past the NUL character * (since all states make transitions on EOB to the * end-of-buffer state). Contrast this with the test * in input(). */ if ( yy_c_buf_p <= &yy_current_buffer->yy_ch_buf[yy_n_chars] ) { /* This was really a NUL. */ yy_state_type yy_next_state; yy_c_buf_p = yytext_ptr + yy_amount_of_matched_text; yy_current_state = yy_get_previous_state(); /* Okay, we're now positioned to make the NUL * transition. We couldn't have * yy_get_previous_state() go ahead and do it * for us because it doesn't know how to deal * with the possibility of jamming (and we don't * want to build jamming into it because then it * will run more slowly). */ yy_next_state = yy_try_NUL_trans( yy_current_state ); yy_bp = yytext_ptr + YY_MORE_ADJ; if ( yy_next_state ) { /* Consume the NUL. */ yy_cp = ++yy_c_buf_p; yy_current_state = yy_next_state; goto yy_match; } else { yy_cp = yy_c_buf_p; goto yy_find_action; } } else switch ( yy_get_next_buffer() ) { case EOB_ACT_END_OF_FILE: { yy_did_buffer_switch_on_eof = 0; if ( yywrap() ) { /* Note: because we've taken care in * yy_get_next_buffer() to have set up * yytext, we can now set up * yy_c_buf_p so that if some total * hoser (like flex itself) wants to * call the scanner after we return the * YY_NULL, it'll still work - another * YY_NULL will get returned. */ yy_c_buf_p = yytext_ptr + YY_MORE_ADJ; yy_act = YY_STATE_EOF(YY_START); goto do_action; } else { if ( ! yy_did_buffer_switch_on_eof ) YY_NEW_FILE; } break; } case EOB_ACT_CONTINUE_SCAN: yy_c_buf_p = yytext_ptr + yy_amount_of_matched_text; yy_current_state = yy_get_previous_state(); yy_cp = yy_c_buf_p; yy_bp = yytext_ptr + YY_MORE_ADJ; goto yy_match; case EOB_ACT_LAST_MATCH: yy_c_buf_p = &yy_current_buffer->yy_ch_buf[yy_n_chars]; yy_current_state = yy_get_previous_state(); yy_cp = yy_c_buf_p; yy_bp = yytext_ptr + YY_MORE_ADJ; goto yy_find_action; } break; } default: YY_FATAL_ERROR( "fatal flex scanner internal error--no action found" ); } /* end of action switch */ } /* end of scanning one token */ } /* end of yylex */ /* yy_get_next_buffer - try to read in a new buffer * * Returns a code representing an action: * EOB_ACT_LAST_MATCH - * EOB_ACT_CONTINUE_SCAN - continue scanning from current position * EOB_ACT_END_OF_FILE - end of file */ static int yy_get_next_buffer() { register char *dest = yy_current_buffer->yy_ch_buf; register char *source = yytext_ptr; register int number_to_move, i; int ret_val; if ( yy_c_buf_p > &yy_current_buffer->yy_ch_buf[yy_n_chars + 1] ) YY_FATAL_ERROR( "fatal flex scanner internal error--end of buffer missed" ); if ( yy_current_buffer->yy_fill_buffer == 0 ) { /* Don't try to fill the buffer, so this is an EOF. */ if ( yy_c_buf_p - yytext_ptr - YY_MORE_ADJ == 1 ) { /* We matched a single character, the EOB, so * treat this as a final EOF. */ return EOB_ACT_END_OF_FILE; } else { /* We matched some text prior to the EOB, first * process it. */ return EOB_ACT_LAST_MATCH; } } /* Try to read more data. */ /* First move last chars to start of buffer. */ number_to_move = (int) (yy_c_buf_p - yytext_ptr) - 1; for ( i = 0; i < number_to_move; ++i ) *(dest++) = *(source++); if ( yy_current_buffer->yy_buffer_status == YY_BUFFER_EOF_PENDING ) /* don't do the read, it's not guaranteed to return an EOF, * just force an EOF */ yy_current_buffer->yy_n_chars = yy_n_chars = 0; else { int num_to_read = yy_current_buffer->yy_buf_size - number_to_move - 1; while ( num_to_read <= 0 ) { /* Not enough room in the buffer - grow it. */ #ifdef YY_USES_REJECT YY_FATAL_ERROR( "input buffer overflow, can't enlarge buffer because scanner uses REJECT" ); #else /* just a shorter name for the current buffer */ YY_BUFFER_STATE b = yy_current_buffer; int yy_c_buf_p_offset = (int) (yy_c_buf_p - b->yy_ch_buf); if ( b->yy_is_our_buffer ) { int new_size = b->yy_buf_size * 2; if ( new_size <= 0 ) b->yy_buf_size += b->yy_buf_size / 8; else b->yy_buf_size *= 2; b->yy_ch_buf = (char *) /* Include room in for 2 EOB chars. */ yy_flex_realloc( (void *) b->yy_ch_buf, b->yy_buf_size + 2 ); } else /* Can't grow it, we don't own it. */ b->yy_ch_buf = 0; if ( ! b->yy_ch_buf ) YY_FATAL_ERROR( "fatal error - scanner input buffer overflow" ); yy_c_buf_p = &b->yy_ch_buf[yy_c_buf_p_offset]; num_to_read = yy_current_buffer->yy_buf_size - number_to_move - 1; #endif } if ( num_to_read > YY_READ_BUF_SIZE ) num_to_read = YY_READ_BUF_SIZE; /* Read in more data. */ YY_INPUT( (&yy_current_buffer->yy_ch_buf[number_to_move]), yy_n_chars, num_to_read ); yy_current_buffer->yy_n_chars = yy_n_chars; } if ( yy_n_chars == 0 ) { if ( number_to_move == YY_MORE_ADJ ) { ret_val = EOB_ACT_END_OF_FILE; yyrestart( yyin ); } else { ret_val = EOB_ACT_LAST_MATCH; yy_current_buffer->yy_buffer_status = YY_BUFFER_EOF_PENDING; } } else ret_val = EOB_ACT_CONTINUE_SCAN; yy_n_chars += number_to_move; yy_current_buffer->yy_ch_buf[yy_n_chars] = YY_END_OF_BUFFER_CHAR; yy_current_buffer->yy_ch_buf[yy_n_chars + 1] = YY_END_OF_BUFFER_CHAR; yytext_ptr = &yy_current_buffer->yy_ch_buf[0]; return ret_val; } /* yy_get_previous_state - get the state just before the EOB char was reached */ static yy_state_type yy_get_previous_state() { register yy_state_type yy_current_state; register char *yy_cp; yy_current_state = yy_start; for ( yy_cp = yytext_ptr + YY_MORE_ADJ; yy_cp < yy_c_buf_p; ++yy_cp ) { register YY_CHAR yy_c = (*yy_cp ? yy_ec[YY_SC_TO_UI(*yy_cp)] : 1); if ( yy_accept[yy_current_state] ) { yy_last_accepting_state = yy_current_state; yy_last_accepting_cpos = yy_cp; } while ( yy_chk[yy_base[yy_current_state] + yy_c] != yy_current_state ) { yy_current_state = (int) yy_def[yy_current_state]; if ( yy_current_state >= 293 ) yy_c = yy_meta[(unsigned int) yy_c]; } yy_current_state = yy_nxt[yy_base[yy_current_state] + (unsigned int) yy_c]; } return yy_current_state; } /* yy_try_NUL_trans - try to make a transition on the NUL character * * synopsis * next_state = yy_try_NUL_trans( current_state ); */ #ifdef YY_USE_PROTOS static yy_state_type yy_try_NUL_trans( yy_state_type yy_current_state ) #else static yy_state_type yy_try_NUL_trans( yy_current_state ) yy_state_type yy_current_state; #endif { register int yy_is_jam; register char *yy_cp = yy_c_buf_p; register YY_CHAR yy_c = 1; if ( yy_accept[yy_current_state] ) { yy_last_accepting_state = yy_current_state; yy_last_accepting_cpos = yy_cp; } while ( yy_chk[yy_base[yy_current_state] + yy_c] != yy_current_state ) { yy_current_state = (int) yy_def[yy_current_state]; if ( yy_current_state >= 293 ) yy_c = yy_meta[(unsigned int) yy_c]; } yy_current_state = yy_nxt[yy_base[yy_current_state] + (unsigned int) yy_c]; yy_is_jam = (yy_current_state == 292); return yy_is_jam ? 0 : yy_current_state; } #ifndef YY_NO_UNPUT #ifdef YY_USE_PROTOS static void yyunput( int c, register char *yy_bp ) #else static void yyunput( c, yy_bp ) int c; register char *yy_bp; #endif { register char *yy_cp = yy_c_buf_p; /* undo effects of setting up yytext */ *yy_cp = yy_hold_char; if ( yy_cp < yy_current_buffer->yy_ch_buf + 2 ) { /* need to shift things up to make room */ /* +2 for EOB chars. */ register int number_to_move = yy_n_chars + 2; register char *dest = &yy_current_buffer->yy_ch_buf[ yy_current_buffer->yy_buf_size + 2]; register char *source = &yy_current_buffer->yy_ch_buf[number_to_move]; while ( source > yy_current_buffer->yy_ch_buf ) *--dest = *--source; yy_cp += (int) (dest - source); yy_bp += (int) (dest - source); yy_current_buffer->yy_n_chars = yy_n_chars = yy_current_buffer->yy_buf_size; if ( yy_cp < yy_current_buffer->yy_ch_buf + 2 ) YY_FATAL_ERROR( "flex scanner push-back overflow" ); } *--yy_cp = (char) c; yytext_ptr = yy_bp; yy_hold_char = *yy_cp; yy_c_buf_p = yy_cp; } #endif /* ifndef YY_NO_UNPUT */ #ifdef __cplusplus static int yyinput() #else static int input() #endif { int c; *yy_c_buf_p = yy_hold_char; if ( *yy_c_buf_p == YY_END_OF_BUFFER_CHAR ) { /* yy_c_buf_p now points to the character we want to return. * If this occurs *before* the EOB characters, then it's a * valid NUL; if not, then we've hit the end of the buffer. */ if ( yy_c_buf_p < &yy_current_buffer->yy_ch_buf[yy_n_chars] ) /* This was really a NUL. */ *yy_c_buf_p = '\0'; else { /* need more input */ int offset = yy_c_buf_p - yytext_ptr; ++yy_c_buf_p; switch ( yy_get_next_buffer() ) { case EOB_ACT_LAST_MATCH: /* This happens because yy_g_n_b() * sees that we've accumulated a * token and flags that we need to * try matching the token before * proceeding. But for input(), * there's no matching to consider. * So convert the EOB_ACT_LAST_MATCH * to EOB_ACT_END_OF_FILE. */ /* Reset buffer status. */ yyrestart( yyin ); /* fall through */ case EOB_ACT_END_OF_FILE: { if ( yywrap() ) return EOF; if ( ! yy_did_buffer_switch_on_eof ) YY_NEW_FILE; #ifdef __cplusplus return yyinput(); #else return input(); #endif } case EOB_ACT_CONTINUE_SCAN: yy_c_buf_p = yytext_ptr + offset; break; } } } c = *(unsigned char *) yy_c_buf_p; /* cast for 8-bit char's */ *yy_c_buf_p = '\0'; /* preserve yytext */ yy_hold_char = *++yy_c_buf_p; return c; } #ifdef YY_USE_PROTOS void yyrestart( FILE *input_file ) #else void yyrestart( input_file ) FILE *input_file; #endif { if ( ! yy_current_buffer ) yy_current_buffer = yy_create_buffer( yyin, YY_BUF_SIZE ); yy_init_buffer( yy_current_buffer, input_file ); yy_load_buffer_state(); } #ifdef YY_USE_PROTOS void yy_switch_to_buffer( YY_BUFFER_STATE new_buffer ) #else void yy_switch_to_buffer( new_buffer ) YY_BUFFER_STATE new_buffer; #endif { if ( yy_current_buffer == new_buffer ) return; if ( yy_current_buffer ) { /* Flush out information for old buffer. */ *yy_c_buf_p = yy_hold_char; yy_current_buffer->yy_buf_pos = yy_c_buf_p; yy_current_buffer->yy_n_chars = yy_n_chars; } yy_current_buffer = new_buffer; yy_load_buffer_state(); /* We don't actually know whether we did this switch during * EOF (yywrap()) processing, but the only time this flag * is looked at is after yywrap() is called, so it's safe * to go ahead and always set it. */ yy_did_buffer_switch_on_eof = 1; } #ifdef YY_USE_PROTOS void yy_load_buffer_state( void ) #else void yy_load_buffer_state() #endif { yy_n_chars = yy_current_buffer->yy_n_chars; yytext_ptr = yy_c_buf_p = yy_current_buffer->yy_buf_pos; yyin = yy_current_buffer->yy_input_file; yy_hold_char = *yy_c_buf_p; } #ifdef YY_USE_PROTOS YY_BUFFER_STATE yy_create_buffer( FILE *file, int size ) #else YY_BUFFER_STATE yy_create_buffer( file, size ) FILE *file; int size; #endif { YY_BUFFER_STATE b; b = (YY_BUFFER_STATE) yy_flex_alloc( sizeof( struct yy_buffer_state ) ); if ( ! b ) YY_FATAL_ERROR( "out of dynamic memory in yy_create_buffer()" ); b->yy_buf_size = size; /* yy_ch_buf has to be 2 characters longer than the size given because * we need to put in 2 end-of-buffer characters. */ b->yy_ch_buf = (char *) yy_flex_alloc( b->yy_buf_size + 2 ); if ( ! b->yy_ch_buf ) YY_FATAL_ERROR( "out of dynamic memory in yy_create_buffer()" ); b->yy_is_our_buffer = 1; yy_init_buffer( b, file ); return b; } #ifdef YY_USE_PROTOS void yy_delete_buffer( YY_BUFFER_STATE b ) #else void yy_delete_buffer( b ) YY_BUFFER_STATE b; #endif { if ( ! b ) return; if ( b == yy_current_buffer ) yy_current_buffer = (YY_BUFFER_STATE) 0; if ( b->yy_is_our_buffer ) yy_flex_free( (void *) b->yy_ch_buf ); yy_flex_free( (void *) b ); } #ifndef YY_ALWAYS_INTERACTIVE #ifndef YY_NEVER_INTERACTIVE extern int isatty YY_PROTO(( int )); #endif #endif #ifdef YY_USE_PROTOS void yy_init_buffer( YY_BUFFER_STATE b, FILE *file ) #else void yy_init_buffer( b, file ) YY_BUFFER_STATE b; FILE *file; #endif { yy_flush_buffer( b ); b->yy_input_file = file; b->yy_fill_buffer = 1; #if YY_ALWAYS_INTERACTIVE b->yy_is_interactive = 1; #else #if YY_NEVER_INTERACTIVE b->yy_is_interactive = 0; #else b->yy_is_interactive = file ? (isatty( fileno(file) ) > 0) : 0; #endif #endif } #ifdef YY_USE_PROTOS void yy_flush_buffer( YY_BUFFER_STATE b ) #else void yy_flush_buffer( b ) YY_BUFFER_STATE b; #endif { if ( ! b ) return; b->yy_n_chars = 0; /* We always need two end-of-buffer characters. The first causes * a transition to the end-of-buffer state. The second causes * a jam in that state. */ b->yy_ch_buf[0] = YY_END_OF_BUFFER_CHAR; b->yy_ch_buf[1] = YY_END_OF_BUFFER_CHAR; b->yy_buf_pos = &b->yy_ch_buf[0]; b->yy_at_bol = 1; b->yy_buffer_status = YY_BUFFER_NEW; if ( b == yy_current_buffer ) yy_load_buffer_state(); } #ifndef YY_NO_SCAN_BUFFER #ifdef YY_USE_PROTOS YY_BUFFER_STATE yy_scan_buffer( char *base, yy_size_t size ) #else YY_BUFFER_STATE yy_scan_buffer( base, size ) char *base; yy_size_t size; #endif { YY_BUFFER_STATE b; if ( size < 2 || base[size-2] != YY_END_OF_BUFFER_CHAR || base[size-1] != YY_END_OF_BUFFER_CHAR ) /* They forgot to leave room for the EOB's. */ return 0; b = (YY_BUFFER_STATE) yy_flex_alloc( sizeof( struct yy_buffer_state ) ); if ( ! b ) YY_FATAL_ERROR( "out of dynamic memory in yy_scan_buffer()" ); b->yy_buf_size = size - 2; /* "- 2" to take care of EOB's */ b->yy_buf_pos = b->yy_ch_buf = base; b->yy_is_our_buffer = 0; b->yy_input_file = 0; b->yy_n_chars = b->yy_buf_size; b->yy_is_interactive = 0; b->yy_at_bol = 1; b->yy_fill_buffer = 0; b->yy_buffer_status = YY_BUFFER_NEW; yy_switch_to_buffer( b ); return b; } #endif #ifndef YY_NO_SCAN_STRING #ifdef YY_USE_PROTOS YY_BUFFER_STATE yy_scan_string( yyconst char *yy_str ) #else YY_BUFFER_STATE yy_scan_string( yy_str ) yyconst char *yy_str; #endif { int len; for ( len = 0; yy_str[len]; ++len ) ; return yy_scan_bytes( yy_str, len ); } #endif #ifndef YY_NO_SCAN_BYTES #ifdef YY_USE_PROTOS YY_BUFFER_STATE yy_scan_bytes( yyconst char *bytes, int len ) #else YY_BUFFER_STATE yy_scan_bytes( bytes, len ) yyconst char *bytes; int len; #endif { YY_BUFFER_STATE b; char *buf; yy_size_t n; int i; /* Get memory for full buffer, including space for trailing EOB's. */ n = len + 2; buf = (char *) yy_flex_alloc( n ); if ( ! buf ) YY_FATAL_ERROR( "out of dynamic memory in yy_scan_bytes()" ); for ( i = 0; i < len; ++i ) buf[i] = bytes[i]; buf[len] = buf[len+1] = YY_END_OF_BUFFER_CHAR; b = yy_scan_buffer( buf, n ); if ( ! b ) YY_FATAL_ERROR( "bad buffer in yy_scan_bytes()" ); /* It's okay to grow etc. this buffer, and we should throw it * away when we're done. */ b->yy_is_our_buffer = 1; return b; } #endif #ifndef YY_NO_PUSH_STATE #ifdef YY_USE_PROTOS static void yy_push_state( int new_state ) #else static void yy_push_state( new_state ) int new_state; #endif { if ( yy_start_stack_ptr >= yy_start_stack_depth ) { yy_size_t new_size; yy_start_stack_depth += YY_START_STACK_INCR; new_size = yy_start_stack_depth * sizeof( int ); if ( ! yy_start_stack ) yy_start_stack = (int *) yy_flex_alloc( new_size ); else yy_start_stack = (int *) yy_flex_realloc( (void *) yy_start_stack, new_size ); if ( ! yy_start_stack ) YY_FATAL_ERROR( "out of memory expanding start-condition stack" ); } yy_start_stack[yy_start_stack_ptr++] = YY_START; BEGIN(new_state); } #endif #ifndef YY_NO_POP_STATE static void yy_pop_state() { if ( --yy_start_stack_ptr < 0 ) YY_FATAL_ERROR( "start-condition stack underflow" ); BEGIN(yy_start_stack[yy_start_stack_ptr]); } #endif #ifndef YY_NO_TOP_STATE static int yy_top_state() { return yy_start_stack[yy_start_stack_ptr - 1]; } #endif #ifndef YY_EXIT_FAILURE #define YY_EXIT_FAILURE 2 #endif #ifdef YY_USE_PROTOS static void yy_fatal_error( yyconst char msg[] ) #else static void yy_fatal_error( msg ) char msg[]; #endif { (void) fprintf( stderr, "%s\n", msg ); exit( YY_EXIT_FAILURE ); } /* Redefine yyless() so it works in section 3 code. */ #undef yyless #define yyless(n) \ do \ { \ /* Undo effects of setting up yytext. */ \ yytext[yyleng] = yy_hold_char; \ yy_c_buf_p = yytext + n; \ yy_hold_char = *yy_c_buf_p; \ *yy_c_buf_p = '\0'; \ yyleng = n; \ } \ while ( 0 ) /* Internal utility routines. */ #ifndef yytext_ptr #ifdef YY_USE_PROTOS static void yy_flex_strncpy( char *s1, yyconst char *s2, int n ) #else static void yy_flex_strncpy( s1, s2, n ) char *s1; yyconst char *s2; int n; #endif { register int i; for ( i = 0; i < n; ++i ) s1[i] = s2[i]; } #endif #ifdef YY_NEED_STRLEN #ifdef YY_USE_PROTOS static int yy_flex_strlen( yyconst char *s ) #else static int yy_flex_strlen( s ) yyconst char *s; #endif { register int n; for ( n = 0; s[n]; ++n ) ; return n; } #endif #ifdef YY_USE_PROTOS static void *yy_flex_alloc( yy_size_t size ) #else static void *yy_flex_alloc( size ) yy_size_t size; #endif { return (void *) malloc( size ); } #ifdef YY_USE_PROTOS static void *yy_flex_realloc( void *ptr, yy_size_t size ) #else static void *yy_flex_realloc( ptr, size ) void *ptr; yy_size_t size; #endif { /* The cast to (char *) in the following accommodates both * implementations that use char* generic pointers, and those * that use void* generic pointers. It works with the latter * because both ANSI C and C++ allow castless assignment from * any pointer type to void*, and deal with argument conversions * as though doing an assignment. */ return (void *) realloc( (char *) ptr, size ); } #ifdef YY_USE_PROTOS static void yy_flex_free( void *ptr ) #else static void yy_flex_free( ptr ) void *ptr; #endif { free( ptr ); } #if YY_MAIN int main() { yylex(); return 0; } #endif #line 426 "sketch.l" void set_lexer_file(char *file_name, FILE *f) { line.file_name = safe_strdup(file_name); line.include_p = 0; line.number = 1; yyin = f; } sketch-0.3.7/main.c0100644000076400010400000000614711722043474016672 0ustar freddieresslerAdministrators/* main.c Copyright (C) 2005,2006,2007,2008 Eugene K. Ressler, Jr. This file is part of Sketch, a small, simple system for making 3d drawings with LaTeX and the PSTricks or TikZ package. Sketch 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, or (at your option) any later version. Sketch 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 Sketch; see the file COPYING.txt. If not, see http://www.gnu.org/copyleft */ #include #include "main.h" #include "cmdline.h" #include "parse.h" #include "emit.h" static CMD_LINE_OPT_ENV wrap_env[1]; int main(int argc, char *argv[]) { OBJECT *scene, *hsr_scene; int ret; FILE *out_file; SYMBOL_TABLE *sym_tab; // create the outer symbol table sym_tab = new_scope(NULL); // make first pass through options to process those that are position-independent // save the rest in the wrap environment for later processing process_global_options(wrap_env, argc, argv, sym_tab); // die if there were errors parsing options if (trouble_p()) report_errors(); // if options show no interest in input if (wrap_env->skip_input_p) { if (wrap_env->n_files > 0) warn(no_line, "input ignored"); return 0; } if (wrap_env->out_file_name) { out_file = fopen(wrap_env->out_file_name, "w"); if (!out_file) err(no_line, "can't open '%s' for output", wrap_env->out_file_name); } else { out_file = stdout; } // die if there were errors preparing output stream if (trouble_p()) report_errors(); // set up the global environment for the parser init_global_env(global_env, wrap_env->pst_version, wrap_env->tikz_version); // process first set of tag defs and set up first input file ret = yywrap(); // quits if there were file opening errors in wrap if (ret == 0) { if (trouble_p()) report_errors(); } else { set_lexer_file("", stdin); } if (parse(sym_tab) != 0 && !trouble_p()) // emit an error to ensure report_errors halts err(line, "parse error"); // quits if there is trouble report_errors(); // flatten the object hierarchy into a scene scene = flat_scene(parsed_objects(), global_env); // painter's algorithm for HSR / HLR if (wrap_env->bsp_only_p) { hsr_scene = hsr_scene_with_bsp(scene); } else { hsr_scene = hsr_scene_with_depth_sort(scene); } // emit PStricks or TikZ emit(out_file, hsr_scene, global_env, wrap_env->doc_template_file_name); return 0; } int yywrap(void) { char *file_name = advance_to_next_file_name(wrap_env); if (file_name) { FILE *f = fopen(file_name, "r"); if (f) { set_lexer_file(file_name, f); return 0; } else { err(no_line, "can't open file '%s' for input", file_name); } } return 1; } sketch-0.3.7/main.h0100644000076400010400000000157511722043474016677 0ustar freddieresslerAdministrators/* main.h Copyright (C) 2005,2006,2007,2008 Eugene K. Ressler, Jr. This file is part of Sketch, a small, simple system for making 3d drawings with LaTeX and the PSTricks or TikZ package. Sketch 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, or (at your option) any later version. Sketch 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 Sketch; see the file COPYING.txt. If not, see http://www.gnu.org/copyleft */ #ifndef __MAIN_H #define __MAIN_H int main(int argc, char *argv[]); int yywrap(void); #endif sketch-0.3.7/makefile0100644000076400010400000001043311722043474017273 0ustar freddieresslerAdministrators# # sketch: 3d line drawings from a simple scene description language # # (c) Gene Ressler # # makefile v0.03 # CC = gcc -O1 -g -Wall #CC = gcc -g -Wall YACC = bison --defines --debug --report=all --yacc LEX = flex verdata=$(shell cat version.dat) VER_MINOR=$(word 3,$(verdata)) VER_MAJOR=$(word 6,$(verdata)) VER_BUILD=$(word 9,$(verdata)) VER=$(VER_MAJOR).$(VER_MINOR).$(VER_BUILD) ifeq ($(OS),Windows_NT) EXE=sketch.exe MAKEDOCS=cmd /c "make examples" else EXE=sketch MAKEDOCS=perl make.pl examples endif DISTDIR=sketch-$(VER) TARFILE=$(DISTDIR).tar TARZIP=$(DISTDIR).tgz ZIP=$(DISTDIR).zip EXEZIP=sketchexe-$(VER).zip UPLOAD=Upload OBJECTS=bsp.o cmdline.o emit.o error.o expr.o geometry.o geomio.o global.o\ langver.o lex.yy.o main.o memutil.o opts.o scene.o symbol.o y.tab.o SOURCES=$(OBJECTS:%.o=%.c) sketch.l sketch.y HEADERS=bsp.h cmdline.h dynarray.h emit.h error.h expr.h geometry.h geomio.h\ global.h langver.h main.h memutil.h opts.h parse.h resource.h scene.h\ symbol.h version.h y.tab.h $(EXE) : $(OBJECTS) $(CC) -o $(EXE) $(OBJECTS) -lm y.tab.c y.tab.h : sketch.y $(YACC) $< lex.yy.c : sketch.l $(LEX) $< version.h : version.dat FORCE perl makever.pl FORCE: .PHONY : dist dist : clean -rm $(TARZIP) -rm -rf $(DISTDIR) mkdir $(DISTDIR) perl distadmin.pl cp readme COPYING.txt makefile updates.htm makever.pl $(DISTDIR) echo dist=1 | cat version.dat - > $(DISTDIR)/version.dat cp $(SOURCES) $(DISTDIR) touch $(DISTDIR)/lex.yy.c $(DISTDIR)/y.tab.c cp $(HEADERS) $(DISTDIR) mkdir $(DISTDIR)/Data -cp Data/bunny.sk Data/buggy.sk Data/test.sk \ Data/2tori.sk Data/hand.sk Data/cone.sk $(DISTDIR)/Data cp -r Doc $(DISTDIR) tar cfv $(TARFILE) $(DISTDIR) gzip $(TARFILE) mv -f $(TARFILE).gz $(TARZIP) -rm -f $(ZIP) zip -r $(ZIP) $(DISTDIR) -rm -f $(EXEZIP) cl -DYY_NEVER_INTERACTIVE=1 -Za -Ox -Fe$(EXE) *.c zip $(EXEZIP) $(EXE) -rm -rf $(UPLOAD) mkdir $(UPLOAD) mv $(EXEZIP) $(UPLOAD) mv $(ZIP) $(UPLOAD) mv $(TARZIP) $(UPLOAD) cp Doc/sketch.pdf $(UPLOAD) cp Doc/sketch.html $(UPLOAD) cp index.htm updates.htm $(UPLOAD) .PHONY : upload upload : ftp -s:upload.ftp -d ftp.frontiernet.net .PHONY : clean clean : -rm -f $(EXE) $(OBJECTS) *.obj core *~ *.stackdump y.output -rm -rf Debug Release -cd Doc; rm -f \ sketch.ps sketch.dvi \ sketch.aux sketch.cp sketch.cps sketch.fn sketch.ky \ sketch.log sketch.op sketch.ops sketch.pg \ sketch.sx sketch.sxs sketch.tmp sketch.toc sketch.tp \ sketch.vr texput.log ex*\.pdf ex*\.eps ex*\.tex ex*\.txt \ \#*\# *~ -cd Data; rm -f *~ \#*\# MANUAL=sketch MANUALTEXI=$(MANUAL).texi .PHONY : realclean realclean: clean cd Doc;\ rm -f *~ $(MANUAL).dvi $(MANUAL).pdf $(MANUAL).ps $(MANUAL).html;\ cd $(MANUAL); rm -f *; cd ..;\ cd Data; rm -f *~; cd .. .PHONY : docs docs : clean $(EXE) cd Doc;\ $(MAKEDOCS) bsp.o: bsp.c bsp.h geometry.h dynarray.h error.h geomio.h cmdline.o: cmdline.c cmdline.h langver.h error.h memutil.h symbol.h \ scene.h opts.h dynarray.h geometry.h expr.h bsp.h global.h emit.h \ parse.h version.h emit.o: emit.c emit.h scene.h opts.h dynarray.h error.h geometry.h expr.h \ bsp.h global.h langver.h memutil.h version.h error.o: error.c error.h expr.o: expr.c expr.h geometry.h dynarray.h error.h geometry.o: geometry.c geometry.h dynarray.h error.h memutil.h geomio.o: geomio.c geomio.h geometry.h dynarray.h error.h global.o: global.c global.h opts.h dynarray.h error.h geometry.h \ langver.h memutil.h langver.o: langver.c langver.h error.h lex.yy.o: lex.yy.c geometry.h dynarray.h error.h symbol.h scene.h opts.h \ expr.h bsp.h global.h langver.h memutil.h parse.h y.tab.h main.o: main.c main.h cmdline.h langver.h error.h memutil.h symbol.h \ scene.h opts.h dynarray.h geometry.h expr.h bsp.h global.h parse.h \ emit.h memutil.o: memutil.c memutil.h opts.o: opts.c opts.h dynarray.h error.h geometry.h scene.o: scene.c scene.h opts.h dynarray.h error.h geometry.h expr.h \ bsp.h global.h langver.h memutil.h emit.h symbol.o: symbol.c error.h geometry.h dynarray.h symbol.h scene.h opts.h \ expr.h bsp.h global.h langver.h memutil.h y.tab.o: y.tab.c parse.h scene.h opts.h dynarray.h error.h geometry.h \ expr.h bsp.h global.h langver.h memutil.h symbol.h sketch-0.3.7/makever.pl0100644000076400010400000000465211722043474017570 0ustar freddieresslerAdministratorsuse strict; use POSIX qw(strftime); sub run { local $/ = undef; local *F; # get raw data open(F, "version.dat") || die "can't open version.dat for input"; my $x = ; close F; # put data pairs in a hash my %pairs = $x =~ /([a-z]+)\s*=\s*(\S+)\s*/g; die "syntax error in version.dat\n" unless defined $pairs{major} && defined $pairs{minor} && defined $pairs{build}; # update the build number $pairs{build}++ unless $pairs{dist} or $ARGV[0] eq 'noinc'; # get the current time/date my $t = time; $pairs{time} = $t; my $slt = scalar(localtime($t)); my $nicelt = strftime("%A, %B %d, %Y", localtime($t)); # print the header open(F, "> version.h") || die "can't open version.h for output"; print F "// Produced by makever.pl. Don't edit.\n"; print F "#define VER_MAJOR $pairs{major}\n"; print F "#define VER_MINOR $pairs{minor}\n"; print F "#define VER_BUILD $pairs{build}\n"; print F "#define VER_BUILD_TIME $t\n"; print F "#ifndef STRINGIFY\n"; print F "#define ___S(X) #X\n"; print F "#define STRINGIFY(X) ___S(X)\n"; print F "#endif\n"; print F "#define VER_BUILD_TIME_STRING STRINGIFY($slt)\n"; my $d = $pairs{dist} ? "d" : ""; print F qq|#define VER_STRING STRINGIFY(VER_MAJOR) "." STRINGIFY(VER_MINOR) " (build " STRINGIFY(VER_BUILD) "$d, " VER_BUILD_TIME_STRING ")"\n|; close F; # print doc version information open(F, "> Doc/version.texi") || die "can't open version.texi"; print F "\@comment Produced by makever.pl. Don't edit.\n"; print F "\@set VER_MAJOR $pairs{major}\n"; print F "\@set VER_MINOR $pairs{minor}\n"; print F "\@set VER_BUILD $pairs{build}\n"; print F "\@set UPDATED $nicelt\n"; print F "\@set VERSION \@value{VER_MAJOR}.\@value{VER_MINOR} (build \@value{VER_BUILD})\n"; close F; if ( open(F, "index-tmp.htm") ) { my $html = ; close F; my $version = "$pairs{major}.$pairs{minor} (build $pairs{build}), $nicelt"; $html =~ s/VERSION/$version/g; my $ver = "$pairs{major}.$pairs{minor}.$pairs{build}"; $html =~ s/VER/$ver/g; open(F, "> index.htm") || die "can't open index.htm for output"; print F $html; close F; } else { warn "not generating web page\n"; } # update the version header open(F, "> version.dat") || die "can't open version.dat for output"; print F join('', map { "$_ = $pairs{$_}\n" } keys %pairs); close F; } run; sketch-0.3.7/memutil.c0100644000076400010400000000264511722043474017421 0ustar freddieresslerAdministrators/* memutil.c Copyright (C) 2005,2006,2007,2008 Eugene K. Ressler, Jr. This file is part of Sketch, a small, simple system for making 3d drawings with LaTeX and the PSTricks or TikZ package. Sketch 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, or (at your option) any later version. Sketch 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 Sketch; see the file COPYING.txt. If not, see http://www.gnu.org/copyleft */ #include #include "memutil.h" void *safe_malloc(unsigned size) { #undef malloc void *p = malloc(size); if (size > 0 && p == NULL) { fprintf(stderr, "\nsafe_malloc: out of memory\n"); exit(1); } return p; } void *safe_realloc(void *p, unsigned size) { #undef realloc void *q = realloc(p, size); if (size > 0 && q == NULL) { fprintf(stderr, "\nsafe_realloc: out of memory\n"); exit(1); } return q; } char *safe_strdup(char *str) { #undef strdup char *new_str = safe_malloc(strlen(str) + 1); strcpy(new_str, str); return new_str; } void safe_free(void *p) { #undef free free(p); } sketch-0.3.7/memutil.h0100644000076400010400000000333611722043474017424 0ustar freddieresslerAdministrators/* memutil.h Copyright (C) 2005,2006,2007,2008 Eugene K. Ressler, Jr. This file is part of Sketch, a small, simple system for making 3d drawings with LaTeX and the PSTricks or TikZ package. Sketch 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, or (at your option) any later version. Sketch 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 Sketch; see the file COPYING.txt. If not, see http://www.gnu.org/copyleft */ #ifndef __MEMUTIL_H #define __MEMUTIL_H #include #include // booleans typedef int bool; // bit N #define bit(N) (1u << (N)) // size of a static or auto declared array #define ARRAY_SIZE(A) (sizeof (A) / sizeof (A)[0]) // zero the memory of struct at *P to zero #define SET_STRUCT_ZERO(P) memset((P), 0, sizeof *(P)) // zero the array A to zero #define SET_ARRAY_ZERO(A) memset((A), 0, sizeof (A)) // checking memory allocators void *safe_malloc(unsigned size); void *safe_realloc(void *p, unsigned size); char *safe_strdup(char *str); void safe_free(void *p); #define MALLOC_STRUCT(P) (P) = safe_malloc(sizeof *(P)) // deliberately cause compilation errors if caller uses // system memory routines #ifdef _DEBUG #define malloc(N) __call_safe_malloc_instead() #define realloc(P,N) __call_safe_alloc_instead() #define strdup(S) __call_safe_alloc_instead() #define free(P) __call_safe_free_instead() #endif #endif sketch-0.3.7/opts.c0100644000076400010400000003267511722043474016740 0ustar freddieresslerAdministrators/* opts.c Copyright (C) 2005,2006,2007,2008 Eugene K. Ressler, Jr. This file is part of Sketch, a small, simple system for making 3d drawings with LaTeX and the PSTricks or TikZ package. Sketch 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, or (at your option) any later version. Sketch 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 Sketch; see the file COPYING.txt. If not, see http://www.gnu.org/copyleft */ #include "opts.h" #include "geometry.h" DECLARE_DYNAMIC_ARRAY_FUNCS(OPT_LIST, OPT, opt_list, elt, n_elts, NO_OTHER_INIT); // ---- useful string stuff ---------------------------------------------------- // slice a string using Perl/Python position indexing conventions // (position == dst_size is always at the end of the string) static int clipat0(int x) { return x < 0 ? 0 : x; } char *str_slice(char *dst, int dst_size, char *src, int beg, int end) { int len; if (dst_size > 0) { len = strlen(src); if (beg < 0) beg = clipat0(len + beg); else if (beg > len) beg = len; if (end < 0) end = clipat0(len + end); else if (end > len) end = len; len = end - beg; if (len <= 0) { dst[0] = '\0'; } else { if (len >= dst_size) len = dst_size - 1; memcpy(dst, &src[beg], len); dst[len] = '\0'; } } return dst; } // a modified version of C library strtok // uses state variable p, which should be // initially set to zero. char *istrtok(int *p, char *s, char sep) { int i, r; // advance r to next non-space character for (r = *p; s[r] == ' ' || s[r] == '\t'; r++) /* skip */ ; // if we're at terminating null, return null if (s[r] == '\0') { *p = r; return NULL; } // look for a separator character for (i = r; s[i] != '\0'; i++) { if (s[i] == sep) { // found one; set to null char, // advance state variable, and // return pointer to first char s[i] = '\0'; *p = i + 1; return &s[r]; } } // did not find a terminator, so this // is the last token; return it *p = i; return &s[r]; } int str_last_occurance(char *src, char *set) { int i; for (i = 0; src[i]; i++) /* skip */ ; for (--i; i >= 0 && !strchr(set, src[i]); --i) /* skip */ ; return i; } // ---- options ---------------------------------------------------------------- void init_opts(OPTS * opts) { init_opt_list(opts->list); } OPTS *raw_opts(void) { OPTS *r = safe_malloc(sizeof *r); init_opts(r); return r; } void setup_opts(OPTS * opts, char *opts_str, SRC_LINE line) { int p_pair, p_side; char *pair, *key, *val, *buf; OPT *opt; clear_opts(opts); buf = safe_strdup(opts_str); p_pair = 0; while ((pair = istrtok(&p_pair, buf, ',')) != NULL) { p_side = 0; key = istrtok(&p_side, pair, '='); if (key == NULL) { err(line, "null keyword in option"); key = ""; } val = istrtok(&p_side, pair, ','); if (val == NULL) { err(line, "null value in option"); val = ""; } opt = pushed_opt_list_elt(opts->list); opt->key = safe_strdup(key); opt->val = safe_strdup(val); } safe_free(buf); } OPTS *new_opts(char *opts_str, SRC_LINE line) { OPTS *r = raw_opts(); setup_opts(r, opts_str, line); return r; } void clear_opts(OPTS * opts) { int i; for (i = 0; i < opts->list->n_elts; ++i) { safe_free(opts->list->elt[i].key); safe_free(opts->list->elt[i].val); } clear_opt_list(opts->list); } char *opt_val(OPTS * opts, char *opt) { int i; if (!opts) return 0; for (i = 0; i < opts->list->n_elts; i++) if (strcmp(opts->list->elt[i].key, opt) == 0) return opts->list->elt[i].val; return NULL; } int bool_opt_p(OPTS * opts, char *opt, int default_p) { char *r = opt_val(opts, opt); if (!r) return default_p; return strcmp(r, "false") != 0; // all not false is true } typedef struct opt_desc_t { char *opt; int type; } OPT_DESC; typedef struct opt_desc_tbl_t { OPT_DESC *key_desc; int n_key_desc; OPT_DESC *val_desc; int n_val_desc; } OPT_DESC_TBL; static OPT_DESC key_tbl_pst[] = { {"arrows", OPT_LINE}, {"cull", OPT_INTERNAL}, {"dash", OPT_LINE}, {"dotsep", OPT_LINE}, {"fillcolor", OPT_POLYGON | OPT_FILL_COLOR}, {"fillstyle", OPT_POLYGON | OPT_FILL_STYLE}, {"lay", OPT_INTERNAL}, {"linecolor", OPT_LINE}, {"linestyle", OPT_LINE | OPT_LINE_STYLE}, {"linewidth", OPT_LINE}, {"opacity", OPT_POLYGON}, {"showpoints", OPT_LINE | OPT_POLYGON}, {"split", OPT_INTERNAL}, {"strokeopacity", OPT_LINE}, {"transpalpha", OPT_POLYGON} }; OPT_DESC_TBL opt_desc_tbl_pst[1] = { { key_tbl_pst, ARRAY_SIZE(key_tbl_pst), NULL, 0} }; static OPT_DESC opt_key_tbl_tikz[] = { {"arrows", OPT_LINE}, {"cap", OPT_LINE}, {"color", OPT_LINE | OPT_POLYGON | OPT_FILL_COLOR}, {"cull", OPT_INTERNAL}, {"dash pattern", OPT_LINE}, {"dash phase", OPT_LINE}, {"double distance", OPT_LINE}, {"double", OPT_LINE | OPT_LINE_STYLE}, {"draw", OPT_LINE | OPT_LINE_STYLE}, {"draw opacity", OPT_LINE}, {"fill", OPT_POLYGON | OPT_FILL_COLOR}, {"fill opacity", OPT_POLYGON}, {"fill style", OPT_POLYGON | OPT_FILL_COLOR | OPT_EMIT_VAL}, {"join", OPT_LINE}, {"lay", OPT_INTERNAL}, {"line style", OPT_LINE | OPT_EMIT_VAL}, {"line width", OPT_LINE}, {"miter limit", OPT_LINE}, {"pattern", OPT_POLYGON | OPT_FILL_COLOR}, {"pattern color", OPT_POLYGON}, {"split", OPT_INTERNAL}, {"style", OPT_TYPE_IN_VAL | OPT_EMIT_VAL}, }; static OPT_DESC opt_val_tbl_tikz[] = { {"dashed", OPT_LINE}, {"densely dashed", OPT_LINE}, {"densely dotted", OPT_LINE}, {"dotted", OPT_LINE}, {"double", OPT_LINE}, {"loosely dashed", OPT_LINE}, {"loosely dotted", OPT_LINE}, {"nearly opaque", OPT_POLYGON}, {"nearly transparent", OPT_POLYGON}, {"semithick", OPT_LINE}, {"semitransparent", OPT_POLYGON}, {"solid", OPT_LINE}, {"thick", OPT_LINE}, {"thin", OPT_LINE}, {"transparent", OPT_POLYGON}, {"ultra nearly transparent", OPT_POLYGON}, {"ultra thick", OPT_LINE}, {"ultra thin", OPT_LINE}, {"very nearly transparent", OPT_POLYGON}, {"very thick", OPT_LINE}, {"very thin", OPT_LINE}, }; OPT_DESC_TBL opt_desc_tbl_tikz[1] = { { opt_key_tbl_tikz, ARRAY_SIZE(opt_key_tbl_tikz), opt_val_tbl_tikz, ARRAY_SIZE(opt_val_tbl_tikz), } }; int opt_index(char *opt, OPT_DESC * desc, int n_desc) { int hi, lo, mid, cmp_val; hi = n_desc - 1; lo = 0; while (hi >= lo) { mid = (hi + lo) / 2; cmp_val = strcmp(opt, desc[mid].opt); if (cmp_val < 0) hi = mid - 1; else if (cmp_val > 0) lo = mid + 1; else return mid; } return -1; } static OPT_DESC_TBL *lang_to_opt_desc_tbl[] = { opt_desc_tbl_pst, opt_desc_tbl_tikz, opt_desc_tbl_pst, opt_desc_tbl_tikz, }; int simple_opt_type(OPT * opt, int default_type, int lang) { OPT_DESC_TBL *desc; int i; if (lang < 0) return default_type; desc = lang_to_opt_desc_tbl[lang]; i = opt_index(opt->key, desc->key_desc, desc->n_key_desc); return (i < 0) ? default_type : desc->key_desc[i].type; } int opt_type(OPT * opt, int default_type, int lang) { OPT_DESC_TBL *desc; int i, type; type = simple_opt_type(opt, default_type, lang); if (type & OPT_TYPE_IN_VAL) { desc = lang_to_opt_desc_tbl[lang]; i = opt_index(opt->val, desc->val_desc, desc->n_val_desc); if (i < 0) return default_type; type = desc->val_desc[i].type; } return type; } typedef struct opts_desc_t { OPT *opts; int n_opts; } OPTS_DESC; OPT no_edges_opts_pst[] = { {"linestyle", "none"} }; OPT no_edges_opts_tikz[] = { {"draw", "none"} }; OPTS_DESC no_edges_opts_desc_tbl[] = { {no_edges_opts_pst, ARRAY_SIZE(no_edges_opts_pst)}, {no_edges_opts_tikz, ARRAY_SIZE(no_edges_opts_tikz)}, {no_edges_opts_pst, ARRAY_SIZE(no_edges_opts_pst)}, {no_edges_opts_tikz, ARRAY_SIZE(no_edges_opts_tikz)}, }; static int any_opt_p(OPTS * opts, int type, int lang) { int i; if (!opts) return 0; for (i = 0; i < opts->list->n_elts; i++) if (type & opt_type(&opts->list->elt[i], OPT_NONE, lang)) return 1; return 0; } static void add_default_opt(OPTS ** opts_ptr, OPT * default_opt, int lang) { OPT *opt; OPTS *opts; int default_type; opts = *opts_ptr; default_type = opt_type(default_opt, OPT_NONE, lang) & OPT_DEFAULTS; if (any_opt_p(opts, default_type, lang)) return; if (!opts) opts = raw_opts(); opt = pushed_opt_list_elt(opts->list); opt->key = safe_strdup(default_opt->key); opt->val = safe_strdup(default_opt->val); *opts_ptr = opts; } static void add_default_opts(OPTS ** opts_ptr, OPTS_DESC * opts_desc, int lang) { int i; for (i = 0; i < opts_desc->n_opts; i++) add_default_opt(opts_ptr, &opts_desc->opts[i], lang); } void add_no_edges_default_opt(OPTS ** opts_ptr, int lang) { add_default_opts(opts_ptr, &no_edges_opts_desc_tbl[lang], lang); } OPT solid_white_opts_pst[] = { {"fillstyle", "solid"}, {"fillcolor", "white"} }; OPT solid_white_opts_tikz[] = { {"fill", "white"} }; OPTS_DESC solid_white_opts_desc_tbl[] = { {solid_white_opts_pst, ARRAY_SIZE(solid_white_opts_pst)}, {solid_white_opts_tikz, ARRAY_SIZE(solid_white_opts_tikz)}, {solid_white_opts_pst, ARRAY_SIZE(solid_white_opts_pst)}, {solid_white_opts_tikz, ARRAY_SIZE(solid_white_opts_tikz)}, }; void add_solid_white_default_opt(OPTS ** opts_ptr, int lang) { add_default_opts(opts_ptr, &solid_white_opts_desc_tbl[lang], lang); } void check_opts(OPTS * opts, int allowed, char *allowed_msg, int lang, SRC_LINE line) { int i, type; if (!opts) return; for (i = 0; i < opts->list->n_elts; i++) { type = opt_type(&opts->list->elt[i], OPT_NONE, lang); if ((type & allowed) == 0) warn(line, allowed_msg, opts->list->elt[i].key, opts->list->elt[i].val); } } // selective copy for splitting option lists by type OPTS *copy_opts(OPTS * opts, int type_mask, int lang) { int i; OPTS *r; OPT *opt; if (!opts) return NULL; r = raw_opts(); for (i = 0; i < opts->list->n_elts; i++) if (type_mask & opt_type(&opts->list->elt[i], OPT_NONE, lang)) { opt = pushed_opt_list_elt(r->list); opt->key = safe_strdup(opts->list->elt[i].key); opt->val = safe_strdup(opts->list->elt[i].val); } return r; } OPTS *cat_opts(OPTS * dst, OPTS * src) { int i; OPT *opt; for (i = 0; i < src->list->n_elts; i++) { opt = pushed_opt_list_elt(dst->list); opt->key = safe_strdup(src->list->elt[i].key); opt->val = safe_strdup(src->list->elt[i].val); } return dst; } // selective copy for splitting out line options and modifying arrows OPTS *copy_line_opts(OPTS * opts, int first_p, int last_p, int lang) { int i; OPTS *r; char buf[100]; if (!opts) return NULL; // no modifications necessary if line contains first and last points if (first_p && last_p) return opts; // make a clean copy and modify the arrows r = copy_opts(opts, OPT_LINE, lang); for (i = 0; i < r->list->n_elts; i++) { if (strcmp("arrows", r->list->elt[i].key) == 0) { char *val = r->list->elt[i].val; char *dash = strchr(val, '-'); if (!dash) { warn(no_line, "could not find '-' while splitting arrows option"); continue; } if (first_p) { str_slice(buf, sizeof buf, val, 0, dash - val + 1); } else if (last_p) { str_slice(buf, sizeof buf, val, dash - val, SLICE_TO_END); } else { // could just delete option entirely, but this is good for debugging str_slice(buf, sizeof buf, val, dash - val, dash - val + 1); } r->list->elt[i].val = safe_strdup(buf); } } return r; } static int member_p(char *str, char **str_list) { if (str_list == NULL) return 0; while (*str_list) { if (strcmp(str, *str_list) == 0) return 1; ++str_list; } return 0; } static void emit_opts_internal(FILE * f, OPTS * opts, char **exceptions, int brackets_p, int lang) { int i, n, type; // do nothing if no options if (!opts || !opts->list || opts->list->n_elts == 0) return; // do nothing if no non-excepted options for (n = i = 0; i < opts->list->n_elts; i++) { if (!member_p(opts->list->elt[i].key, exceptions)) ++n; } if (n == 0) return; if (brackets_p) fputc('[', f); for (n = i = 0; i < opts->list->n_elts; i++) { if (member_p(opts->list->elt[i].key, exceptions)) continue; type = simple_opt_type(&opts->list->elt[i], OPT_NONE, lang); if ((type & OPT_INTERNAL) == 0) { if (n > 0) fprintf(f, ","); if (type & OPT_EMIT_VAL) fprintf(f, "%s", opts->list->elt[i].val); else fprintf(f, "%s=%s", opts->list->elt[i].key, opts->list->elt[i].val); ++n; } } if (brackets_p) fputc(']', f); } void emit_opts_raw(FILE * f, OPTS * opts, int lang) { emit_opts_internal(f, opts, NULL, 0, lang); } void emit_opts(FILE * f, OPTS * opts, int lang) { emit_opts_internal(f, opts, NULL, 1, lang); } void emit_opts_with_exceptions(FILE * f, OPTS * opts, char **exceptions, int lang) { emit_opts_internal(f, opts, exceptions, 1, lang); } sketch-0.3.7/opts.h0100644000076400010400000000615411722043474016736 0ustar freddieresslerAdministrators/* opts.h Copyright (C) 2005,2006,2007,2008 Eugene K. Ressler, Jr. This file is part of Sketch, a small, simple system for making 3d drawings with LaTeX and the PSTricks or TikZ package. Sketch 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, or (at your option) any later version. Sketch 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 Sketch; see the file COPYING.txt. If not, see http://www.gnu.org/copyleft */ #ifndef __OPTS_H #define __OPTS_H #include #include "dynarray.h" #include "error.h" #define OPT_NONE 0x00 // type flags #define OPT_INTERNAL 0x01 #define OPT_LINE 0x02 #define OPT_POLYGON 0x04 // default class flags #define OPT_LINE_STYLE 0x08 #define OPT_FILL_STYLE 0x10 #define OPT_FILL_COLOR 0x20 #define OPT_DEFAULTS (OPT_LINE_STYLE|OPT_FILL_STYLE|OPT_FILL_COLOR) // key doesn't have type information; use val #define OPT_TYPE_IN_VAL 0x40 // sufficient to emit value without key #define OPT_EMIT_VAL 0x80 // some dynamic array types typedef struct opt_t { char *key, *val; } OPT; typedef struct opt_list_t { DYNAMIC_ARRAY_FIELDS(OPT, elt, n_elts); } OPT_LIST; DECLARE_DYNAMIC_ARRAY_PROTOS(OPT_LIST, OPT, opt_list, elt, n_elts); #define OPTS_LAY 0 #define LAY_IN 0 #define LAY_OVER 1 #define LAY_UNDER -1 typedef struct opts_t { OPT_LIST list[1]; // Cached values. unsigned long set_p_mask; int lay; } OPTS; void init_opts(OPTS * opts); void setup_opts(OPTS * opts, char *opt_str, SRC_LINE line); OPTS *raw_opts(void); OPTS *new_opts(char *opts_str, SRC_LINE line); void clear_opts(OPTS * opts); char *opt_val(OPTS * opts, char *opt); int bool_opt_p(OPTS * opts, char *opt, int default_p); int opt_type(OPT * opt, int default_type, int lang); void add_no_edges_default_opt(OPTS ** opts_ptr, int lang); void add_solid_white_default_opt(OPTS ** opts_ptr, int lang); // selective copy for splitting option lists by type OPTS *copy_opts(OPTS * opts, int type_mask, int lang); OPTS *cat_opts(OPTS * dst, OPTS * src); // selective copy for splitting out line options and modifying arrows OPTS *copy_line_opts(OPTS * opts, int first_p, int last_p, int lang); void emit_opts_raw(FILE * f, OPTS * opts, int lang); void emit_opts(FILE * f, OPTS * opts, int lang); void emit_opts_with_exceptions(FILE * f, OPTS * opts, char **exceptions, int lang); void check_opts(OPTS * opts, int allowed, char *allowed_msg, int lang, SRC_LINE line); // slice src into dest using Perl/Python conventions char *str_slice(char *dst, int dst_size, char *src, int beg, int end); #define SLICE_TO_END ((int)(~0u >> 1)) // find last occurance of aachar in set in src; return index or -1 if none int str_last_occurance(char *src, char *set); // strtok with a state variable instead of static char *istrtok(int *p, char *s, char sep); #endif sketch-0.3.7/parse.h0100644000076400010400000000220411722043474017053 0ustar freddieresslerAdministrators/* parse.h Copyright (C) 2005,2006,2007,2008 Eugene K. Ressler, Jr. This file is part of Sketch, a small, simple system for making 3d drawings with LaTeX and the PSTricks or TikZ package. Sketch 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, or (at your option) any later version. Sketch 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 Sketch; see the file COPYING.txt. If not, see http://www.gnu.org/copyleft */ #ifndef __PARSE_H #define __PARSE_H #include "scene.h" #include "error.h" #include "symbol.h" /* Skip yyunput() as we don't use it. */ #define YY_NO_UNPUT extern int yydebug; extern SRC_LINE line; extern GLOBAL_ENV parsed_global_env[1]; void set_lexer_file(char *file_name, FILE * f); int parse(SYMBOL_TABLE * st); OBJECT *parsed_objects(void); #endif sketch-0.3.7/readme0100644000076400010400000000127711722043474016761 0ustar freddieresslerAdministratorsSketch (c) 2005, 2006, 2007 Eugene K. Ressler Sketch is a simple system for producing line drawings of three-dimensional objects and scenes. It began as a way to make illustrations for a textbook after we could find no suitable tool for this purpose. Existing scene processors emphasized GUIs and/or photo-realism, both un-useful to us. We wanted to produce finely wrought, mathematically-based illustrations with no extraneous detail and be able to easily overlay TeX math and text. The input language is reminiscent of PSTricks, so will be easy to learn for current PSTricks users. It generates either PSTricks or TikZ/PGF code as output. See http://www.frontiernet.net/~eugene.ressler . sketch-0.3.7/resource.h0100644000076400010400000000225611722043474017577 0ustar freddieresslerAdministrators/* resource.h Copyright (C) 2005,2006,2007,2008 Eugene K. Ressler, Jr. This file is part of Sketch, a small, simple system for making 3d drawings with LaTeX and the PSTricks or TikZ package. Sketch 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, or (at your option) any later version. Sketch 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 Sketch; see the file COPYING.txt. If not, see http://www.gnu.org/copyleft */ //{{NO_DEPENDENCIES}} // Microsoft Developer Studio generated include file. // Used by Script1.rc // // Next default values for new objects // #ifdef APSTUDIO_INVOKED #ifndef APSTUDIO_READONLY_SYMBOLS #define _APS_NEXT_RESOURCE_VALUE 101 #define _APS_NEXT_COMMAND_VALUE 40001 #define _APS_NEXT_CONTROL_VALUE 1000 #define _APS_NEXT_SYMED_VALUE 101 #endif #endif sketch-0.3.7/scene.c0100644000076400010400000013006211722043474017035 0ustar freddieresslerAdministrators/* scene.c Copyright (C) 2005,2006,2007,2008,2009,2010,2011 Eugene K. Ressler, Jr. This file is part of Sketch, a small, simple system for making 3d drawings with LaTeX and the PSTricks or TikZ package. Sketch 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, or (at your option) any later version. Sketch 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 Sketch; see the file COPYING.txt. If not, see http://www.gnu.org/copyleft */ #include #include #include "scene.h" #include "emit.h" DECLARE_DYNAMIC_2D_ARRAY_FUNCS(POINT_LIST_3D, POINT_3D, FLOAT, point_list_3d, v, n_pts, NO_OTHER_INIT); DECLARE_DYNAMIC_2D_ARRAY_FUNCS(TRANSFORM_LIST, TRANSFORM, FLOAT, transform_list, xf, n_xfs, NO_OTHER_INIT); DECLARE_DYNAMIC_ARRAY_FUNCS(SPECIAL_ARG_LIST, SPECIAL_ARG, special_arg_list, arg, n_args, NO_OTHER_INIT); // this must match the definition of OBJECT_TYPE char *object_type_str[] = { "base", "tag", "option list", "scalar", "point", "vector", "transform", "dots", "line", "curve", "polygon", "special", "sweep", "repeat", "compound", }; #define LAY_IN 0 #define LAY_OVER 1 #define LAY_UNDER -1 int lay_val(OPTS * opts, int lay_default) { char *val = opt_val(opts, "lay"); if (!val) return lay_default; if (strcmp(val, "over") == 0) return LAY_OVER; else if (strcmp(val, "under") == 0) return LAY_UNDER; else if (strcmp(val, "in") == 0) return LAY_IN; else { warn(no_line, "lay=%s has been ignored", val); return lay_default; } } OBJECT *new_tag_def(void) { TAG_DEF *r = safe_malloc(sizeof *r); r->tag = O_TAG_DEF; r->sibling = NULL; return (OBJECT *) r; } OBJECT *new_opts_def_copy(OPTS * opts) { OPTS_DEF *r = safe_malloc(sizeof *r); r->tag = O_OPTS_DEF; r->sibling = NULL; r->opts = opts; return (OBJECT *) r; } OBJECT *new_opts_def(char *opts_str, SRC_LINE line) { return new_opts_def_copy(new_opts(opts_str, line)); } OBJECT *new_scalar_def(FLOAT val) { SCALAR_DEF *r = safe_malloc(sizeof *r); r->tag = O_SCALAR_DEF; r->sibling = NULL; r->val = val; return (OBJECT *) r; } OBJECT *new_point_def(POINT_3D p) { POINT_DEF *r = safe_malloc(sizeof *r); r->tag = O_POINT_DEF; r->sibling = NULL; copy_pt_3d(r->p, p); return (OBJECT *) r; } OBJECT *new_vector_def(VECTOR_3D v) { VECTOR_DEF *r = safe_malloc(sizeof *r); r->tag = O_VECTOR_DEF; r->sibling = NULL; copy_vec_3d(r->v, v); return (OBJECT *) r; } OBJECT *new_transform_def(TRANSFORM xf) { TRANSFORM_DEF *r = safe_malloc(sizeof *r); r->tag = O_TRANSFORM_DEF; r->sibling = NULL; copy_transform(r->xf, xf); return (OBJECT *) r; } void translate_points(POINT_LIST_3D * dst, OBJECT * src_obj) { POINT_DEF *sibling, *src = (POINT_DEF *) src_obj; while (src) { copy_pt_3d(pushed_point_list_3d_v(dst), src->p); sibling = (POINT_DEF *) src->sibling; safe_free(src); src = sibling; } } void translate_special_args(SPECIAL_ARG_LIST * dst, OBJECT * src) { OBJECT *sibling; while (src) { SPECIAL_ARG *arg = pushed_special_arg_list_arg(dst); switch (src->tag) { case O_SCALAR_DEF:{ SCALAR_DEF *scalar_def = (SCALAR_DEF *) src; arg->tag = SA_SCALAR; arg->val.flt = scalar_def->val; } break; case O_POINT_DEF:{ POINT_DEF *pt_def = (POINT_DEF *) src; arg->tag = SA_POINT; copy_pt_3d(arg->val.pt, pt_def->p); } break; case O_VECTOR_DEF:{ VECTOR_DEF *vec_def = (VECTOR_DEF *) src; arg->tag = SA_VECTOR; copy_vec_3d(arg->val.v, vec_def->v); } break; default: die(no_line, "unexpected special arg object %s(%d)", object_type_str[src->tag], src->tag); } sibling = src->sibling; safe_free(src); src = sibling; } } DOTS_OBJECT *raw_dots(OPTS * opts) { DOTS_OBJECT *r = safe_malloc(sizeof *r); r->tag = O_DOTS; r->sibling = NULL; r->opts = opts; init_point_list_3d(r->pts); return r; } OBJECT *new_dots(OPTS * opts, OBJECT * pts) { DOTS_OBJECT *r = raw_dots(opts); translate_points(r->pts, pts); return (OBJECT *) r; } OBJECT *copy_dots(OBJECT * obj) { DOTS_OBJECT *org = (DOTS_OBJECT *) obj, *r = raw_dots(org->opts); copy_point_list_3d(r->pts, org->pts); return (OBJECT *) r; } LINE_OBJECT *raw_line(OPTS * opts) { LINE_OBJECT *r = safe_malloc(sizeof *r); r->tag = O_LINE; r->sibling = NULL; r->opts = opts; init_point_list_3d(r->pts); return r; } OBJECT *new_line(OPTS * opts, OBJECT * pts) { LINE_OBJECT *r = raw_line(opts); translate_points(r->pts, pts); return (OBJECT *) r; } OBJECT *copy_line(OBJECT * obj) { LINE_OBJECT *org = (LINE_OBJECT *) obj, *r = raw_line(org->opts); copy_point_list_3d(r->pts, org->pts); return (OBJECT *) r; } CURVE_OBJECT *raw_curve(OPTS * opts) { CURVE_OBJECT *r = safe_malloc(sizeof *r); r->tag = O_CURVE; r->sibling = NULL; r->opts = opts; init_point_list_3d(r->pts); return r; } OBJECT *new_curve(OPTS * opts, OBJECT * pts) { CURVE_OBJECT *r = raw_curve(opts); translate_points(r->pts, pts); return (OBJECT *) r; } OBJECT *copy_curve(OBJECT * obj) { CURVE_OBJECT *org = (CURVE_OBJECT *) obj, *r = raw_curve(org->opts); copy_point_list_3d(r->pts, org->pts); return (OBJECT *) r; } POLYGON_OBJECT *raw_polygon(OPTS * opts) { POLYGON_OBJECT *r = safe_malloc(sizeof *r); r->tag = O_POLYGON; r->sibling = NULL; r->opts = opts; init_point_list_3d(r->pts); r->border_p = 0; return r; } OBJECT *new_polygon(OPTS * opts, OBJECT * pts) { POLYGON_OBJECT *r = raw_polygon(opts); translate_points(r->pts, pts); return (OBJECT *) r; } OBJECT *copy_polygon(OBJECT * obj) { POLYGON_OBJECT *org = (POLYGON_OBJECT *) obj, *r = raw_polygon(org->opts); copy_point_list_3d(r->pts, org->pts); return (OBJECT *) r; } static SPECIAL_OBJECT *raw_special(OPTS * opts) { SPECIAL_OBJECT *r = safe_malloc(sizeof *r); r->tag = O_SPECIAL; r->sibling = NULL; r->code = NULL; r->opts = opts; init_special_arg_list(r->args); return r; } /* The parser may put options anywhere in the arg list. We must flag options in any location except the first as an error. In the first location, we unlink from args list and install. */ OBJECT *new_special(char *code, OBJECT * args, SRC_LINE line) { SPECIAL_OBJECT *r; OPTS_DEF *d; OBJECT *p, *q; // use the first arg as options if that's what's there if (args && args->tag == O_OPTS_DEF) { d = (OPTS_DEF *) args; r = raw_special(d->opts); args = args->sibling; safe_free(d); } else { r = raw_special(NULL); } // ensure no options are left q = NULL; for (p = args; p != NULL; p = p->sibling) { if (p->tag == O_OPTS_DEF) { err(line, "unexpected options found in special argument list"); // unlink if (q == NULL) args = p->sibling; else q->sibling = p->sibling; } else { q = p; } } r->code = code; translate_special_args(r->args, args); // syntax check process_special(NULL, r, line); return (OBJECT *) r; } OBJECT *copy_special(OBJECT * obj) { SPECIAL_OBJECT *org = (SPECIAL_OBJECT *) obj, *r = raw_special(org->opts); copy_special_arg_list(r->args, org->args); r->code = safe_strdup(org->code); return (OBJECT *) r; } SWEEP_OBJECT *raw_sweep(OPTS * opts) { SWEEP_OBJECT *r = safe_malloc(sizeof *r); r->tag = O_SWEEP; r->sibling = NULL; r->n_slices = 0; r->closed_p = 0; init_transform_list(r->xforms); r->opts = opts; r->swept = NULL; return r; } void translate_transforms(TRANSFORM_LIST * dst, OBJECT * src_obj) { TRANSFORM_DEF *sibling, *src = (TRANSFORM_DEF *) src_obj; while (src) { copy_transform(pushed_transform_list_xf(dst), src->xf); sibling = (TRANSFORM_DEF *) src->sibling; safe_free(src); src = sibling; } } OBJECT *new_sweep(OPTS * opts, int n_slices, int closed_p, OBJECT * xfs, OBJECT * swept) { SWEEP_OBJECT *r = raw_sweep(opts); r->n_slices = n_slices; r->closed_p = closed_p; translate_transforms(r->xforms, xfs); r->swept = swept; return (OBJECT *) r; } // this is a shallow copy OBJECT *copy_sweep(OBJECT * obj) { SWEEP_OBJECT *org = (SWEEP_OBJECT *) obj, *r = raw_sweep(org->opts); r->n_slices = org->n_slices; r->closed_p = org->closed_p; copy_transform_list(r->xforms, org->xforms); r->swept = org->swept; return (OBJECT *) r; } REPEAT_OBJECT *raw_repeat(void) { REPEAT_OBJECT *r = safe_malloc(sizeof *r); r->tag = O_REPEAT; r->sibling = NULL; r->n = 0; init_transform_list(r->xforms); r->repeated = NULL; return r; } OBJECT *new_repeat(int n, OBJECT * xfs, OBJECT * repeated) { REPEAT_OBJECT *r = raw_repeat(); r->n = n; translate_transforms(r->xforms, xfs); r->repeated = repeated; return (OBJECT *) r; } OBJECT *copy_repeat(OBJECT * obj) { REPEAT_OBJECT *org = (REPEAT_OBJECT *) obj, *r = raw_repeat(); r->n = org->n; copy_transform_list(r->xforms, org->xforms); r->repeated = org->repeated; // shallow copy return (OBJECT *) r; } OBJECT *new_compound(TRANSFORM xform, OBJECT * child) { COMPOUND_OBJECT *r = safe_malloc(sizeof *r); r->tag = O_COMPOUND; r->sibling = NULL; copy_transform(r->xform, xform); r->child = child; return (OBJECT *) r; } // this is a shallow copy OBJECT *copy_compound(OBJECT * obj) { COMPOUND_OBJECT *org = (COMPOUND_OBJECT *) obj; return new_compound(org->xform, org->child); } typedef OBJECT *(*COPY_FUNC) (OBJECT *); static COPY_FUNC copy_tbl[] = { NULL, // O_BASE NULL, // O_TAG_DEF NULL, // O_OPTS_DEF NULL, // O_SCALAR_DEF NULL, // O_POINT_DEF NULL, // O_VECTOR_DEF NULL, // O_TRANSFORM_DEF copy_dots, copy_line, copy_curve, copy_polygon, copy_special, copy_sweep, copy_repeat, copy_compound, }; OBJECT *copy_drawable_without_siblings(OBJECT * obj) { return (*copy_tbl[obj->tag]) (obj); } OBJECT *copy_drawable(OBJECT * obj) { OBJECT *r = NULL; while (obj) { if (copy_tbl[obj->tag]) { OBJECT *copy = copy_drawable_without_siblings(obj); copy->sibling = r; r = copy; } else { die(no_line, "copy_drawable: attempt to copy non-drawable %s", object_type_str[obj->tag]); } obj = obj->sibling; } return sibling_reverse(r); } OBJECT *sibling_reverse(OBJECT * obj) { OBJECT *p, *q, *t; // pop from p and push onto q until p is empty p = obj; q = NULL; while (p) { t = p; p = p->sibling; // pop t->sibling = q; q = t; // push } return q; } OBJECT *object_from_expr(EXPR_VAL * val) { switch (val->tag) { case E_FLOAT: return new_scalar_def(val->val.flt); case E_POINT: return new_point_def(val->val.pt); case E_VECTOR: return new_vector_def(val->val.vec); case E_TRANSFORM: return new_transform_def(val->val.xf); default: die(no_line, "object_from_expr: unknown value tag %d", val->tag); } return NULL; // never occurs } void transform_points(POINT_LIST_3D * dst_pts, TRANSFORM xf, POINT_LIST_3D * src_pts) { int i; setup_point_list_3d(dst_pts, src_pts->n_pts); for (i = 0; i < src_pts->n_pts; i++) transform_pt_3d(dst_pts->v[i], xf, src_pts->v[i]); dst_pts->n_pts = src_pts->n_pts; } void transform_special_args(SPECIAL_ARG_LIST * dst_args, TRANSFORM xf, SPECIAL_ARG_LIST * src_args) { int i; setup_special_arg_list(dst_args, src_args->n_args); for (i = 0; i < src_args->n_args; i++) { switch (dst_args->arg[i].tag = src_args->arg[i].tag) { case SA_SCALAR: dst_args->arg[i].val.flt = src_args->arg[i].val.flt; break; case SA_POINT: transform_pt_3d(dst_args->arg[i].val.pt, xf, src_args->arg[i].val.pt); break; case SA_VECTOR: transform_vec_3d(dst_args->arg[i].val.v, xf, src_args->arg[i].val.v); break; default: die(no_line, "unexpected special arg type"); } } dst_args->n_args = src_args->n_args; } static void fill_transform_accum(TRANSFORM_LIST * accum, TRANSFORM_LIST * inc) { int i; setup_transform_list(accum, inc->n_xfs); accum->n_xfs = inc->n_xfs; for (i = 0; i < inc->n_xfs; i++) set_ident(accum->xf[i]); } static void advance_transform_accum(TRANSFORM_LIST * accum, TRANSFORM_LIST * inc) { int i; for (i = 0; i < accum->n_xfs; i++) compose(accum->xf[i], accum->xf[i], inc->xf[i]); } static void compose_transform_accum(TRANSFORM xf, TRANSFORM_LIST * accum, TRANSFORM model_view_xf) { int i; if (accum->n_xfs <= 0) die(no_line, "zero size accumulator"); copy_transform(xf, accum->xf[0]); // left-multiply because accumulator is in "then" order for (i = 1; i < accum->n_xfs; i++) compose(xf, accum->xf[i], xf); if (model_view_xf) compose(xf, model_view_xf, xf); } OBJECT *flat_dots(OBJECT * obj, TRANSFORM xf) { DOTS_OBJECT *s = (DOTS_OBJECT *) obj, *dots = raw_dots(s->opts); transform_points(dots->pts, xf, s->pts); return (OBJECT *) dots; } OBJECT *flat_line(OBJECT * obj, TRANSFORM xf) { LINE_OBJECT *s = (LINE_OBJECT *) obj, *line = raw_line(s->opts); check_opts(s->opts, OPT_INTERNAL | OPT_LINE, "unknown line option %s=%s will be ignored", global_env->output_language, no_line); transform_points(line->pts, xf, s->pts); return (OBJECT *) line; } OBJECT *flat_curve(OBJECT * obj, TRANSFORM xf) { CURVE_OBJECT *s = (CURVE_OBJECT *) obj, *curve = raw_curve(s->opts); transform_points(curve->pts, xf, s->pts); return (OBJECT *) curve; } OBJECT *flat_polygon(OBJECT * obj, TRANSFORM xf) { POLYGON_OBJECT *s = (POLYGON_OBJECT *) obj, *polygon = raw_polygon(s->opts); check_opts(s->opts, OPT_INTERNAL | OPT_POLYGON | OPT_LINE, "unknown polygon option %s=%s will be ignored", global_env->output_language, no_line); transform_points(polygon->pts, xf, s->pts); return (OBJECT *) polygon; } OBJECT *flat_special(OBJECT * obj, TRANSFORM xf) { SPECIAL_OBJECT *s = (SPECIAL_OBJECT *) obj, *special = raw_special(s->opts); special->code = safe_strdup(s->code); transform_special_args(special->args, xf, s->args); return (OBJECT *) special; } #define MAX_WARP 1e-5 // return -1 if no split is necessary // return 0 if best spilt is on the 0--2 line // return 1 if best split is on the 1--3 line static int best_triangle_split(POINT_3D v0, POINT_3D v1, POINT_3D v2, POINT_3D v3) { VECTOR_3D n, d0, d1, e, e_max; FLOAT e_len_sqr, e_max_len_sqr, warp; sub_vecs_3d(d0, v2, v0); sub_vecs_3d(d1, v3, v1); cross(n, d0, d1); // if the cross product is zero length, the polygon is degenerate and can // be considered flat; no need to traingulate if (!find_unit_vec_3d(n, n)) return -1; // find the edge of maximum length; probably not necessary sub_vecs_3d(e_max, v1, v0); e_max_len_sqr = dot_3d(e_max, e_max); sub_vecs_3d(e, v2, v1); e_len_sqr = dot_3d(e, e); if (e_len_sqr > e_max_len_sqr) { e_max_len_sqr = e_len_sqr; copy_vec_3d(e_max, e); } sub_vecs_3d(e, v3, v2); e_len_sqr = dot_3d(e, e); if (e_len_sqr > e_max_len_sqr) { e_max_len_sqr = e_len_sqr; copy_vec_3d(e_max, e); } sub_vecs_3d(e, v0, v3); e_len_sqr = dot_3d(e, e); if (e_len_sqr > e_max_len_sqr) { e_max_len_sqr = e_len_sqr; copy_vec_3d(e_max, e); } // flat if projection of edge on normal is small, else split on shortest diagonal warp = dot_3d(e_max, n); return -MAX_WARP <= warp && warp <= MAX_WARP ? -1 : dot_3d(d0, d0) < dot_3d(d1, d1) ? 0 : 1; } // add triangular or quadrilateral faces to object list depending on flatness static void make_faces(OBJECT ** r, OPTS * opts, TRANSFORM xf, POINT_3D v0, POINT_3D v1, POINT_3D v2, POINT_3D v3, int split_p) { POLYGON_OBJECT *new_polygon; if (!split_p) goto no_split; switch (best_triangle_split(v0, v1, v2, v3)) { case -1: no_split: new_polygon = raw_polygon(opts); setup_point_list_3d(new_polygon->pts, 4); transform_pt_3d(new_polygon->pts->v[0], xf, v0); transform_pt_3d(new_polygon->pts->v[1], xf, v1); transform_pt_3d(new_polygon->pts->v[2], xf, v2); transform_pt_3d(new_polygon->pts->v[3], xf, v3); new_polygon->pts->n_pts = 4; new_polygon->sibling = *r; *r = (OBJECT *) new_polygon; break; case 0: new_polygon = raw_polygon(opts); setup_point_list_3d(new_polygon->pts, 3); transform_pt_3d(new_polygon->pts->v[0], xf, v0); transform_pt_3d(new_polygon->pts->v[1], xf, v1); transform_pt_3d(new_polygon->pts->v[2], xf, v2); new_polygon->pts->n_pts = 3; new_polygon->sibling = *r; *r = (OBJECT *) new_polygon; new_polygon = raw_polygon(opts); setup_point_list_3d(new_polygon->pts, 3); transform_pt_3d(new_polygon->pts->v[0], xf, v2); transform_pt_3d(new_polygon->pts->v[1], xf, v3); transform_pt_3d(new_polygon->pts->v[2], xf, v0); new_polygon->pts->n_pts = 3; new_polygon->sibling = *r; *r = (OBJECT *) new_polygon; break; case 1: new_polygon = raw_polygon(opts); setup_point_list_3d(new_polygon->pts, 3); transform_pt_3d(new_polygon->pts->v[0], xf, v1); transform_pt_3d(new_polygon->pts->v[1], xf, v2); transform_pt_3d(new_polygon->pts->v[2], xf, v3); new_polygon->pts->n_pts = 3; new_polygon->sibling = *r; *r = (OBJECT *) new_polygon; new_polygon = raw_polygon(opts); setup_point_list_3d(new_polygon->pts, 3); transform_pt_3d(new_polygon->pts->v[0], xf, v3); transform_pt_3d(new_polygon->pts->v[1], xf, v0); transform_pt_3d(new_polygon->pts->v[2], xf, v1); new_polygon->pts->n_pts = 3; new_polygon->sibling = *r; *r = (OBJECT *) new_polygon; break; } } OBJECT *flat_sweep(OBJECT * obj, TRANSFORM xf) { int i, j, jj, split_p; POINT_LIST_3D *a, *b, *t; OBJECT *swept, *r; TRANSFORM sweep_xf; POINT_LIST_3D pts_1[1], pts_2[1]; TRANSFORM_LIST sweep_accum[1]; SWEEP_OBJECT *s = (SWEEP_OBJECT *) obj; init_point_list_3d(pts_1); init_point_list_3d(pts_2); init_transform_list(sweep_accum); split_p = bool_opt_p(s->opts, "split", 1) && bool_opt_p(global_env->opts, "split", 1); r = NULL; #define ADD_TO_OUTPUT(O) do { \ (O)->sibling = r; \ r = (OBJECT*)(O); \ } while (0) // handle definitions first; a point becomes a single line or a polygon if (s->swept->tag == O_POINT_DEF) { fill_transform_accum(sweep_accum, s->xforms); for (swept = s->swept; swept; swept = swept->sibling) { POINT_DEF *pd = (POINT_DEF *) swept; if (s->closed_p) { POLYGON_OBJECT *polygon = raw_polygon(s->opts); for (i = 0; i < s->n_slices; i++) { compose_transform_accum(sweep_xf, sweep_accum, xf); transform_pt_3d(pushed_point_list_3d_v(polygon->pts), sweep_xf, pd->p); advance_transform_accum(sweep_accum, s->xforms); } ADD_TO_OUTPUT(polygon); } else { LINE_OBJECT *line = raw_line(s->opts); for (i = 0; i < s->n_slices + 1; i++) { compose_transform_accum(sweep_xf, sweep_accum, xf); transform_pt_3d(pushed_point_list_3d_v(line->pts), sweep_xf, pd->p); advance_transform_accum(sweep_accum, s->xforms); } ADD_TO_OUTPUT(line); } } } else { // it's drawable; recursively flatten swept object in its own coordinates for (swept = flat_scene(s->swept, NULL); swept; swept = swept->sibling) { // refill with identity for each swept object fill_transform_accum(sweep_accum, s->xforms); // now the different flavors of sweep depend on what's being swept and // the setting of the closure tag if (swept->tag == O_LINE) { // a line becomes a surface represented by a sequence of 4-sided polygons LINE_OBJECT *line = (LINE_OBJECT *) swept; // a is the trail buffer and b the lead a = pts_1; b = pts_2; copy_point_list_3d(a, line->pts); if (s->closed_p) { POLYGON_OBJECT *e1 = raw_polygon(s->opts); POLYGON_OBJECT *e2 = raw_polygon(s->opts); OPTS *face_opts = line->opts ? line->opts : s->opts; // set up in advance; e1 is filled in forward, e2 in reverse setup_point_list_3d(e1->pts, s->n_slices); e1->pts->n_pts = s->n_slices; setup_point_list_3d(e2->pts, s->n_slices); e2->pts->n_pts = s->n_slices; for (i = 0; i < s->n_slices - 1; i++) { advance_transform_accum(sweep_accum, s->xforms); compose_transform_accum(sweep_xf, sweep_accum, 0); // apply mv transform in make_faces transform_points(b, sweep_xf, line->pts); // copy first and last points for 'end caps' transform_pt_3d(e1->pts->v[i], xf, b->v[b->n_pts - 1]); transform_pt_3d(e2->pts->v[s->n_slices - 1 - i], xf, b->v[0]); for (jj = 0, j = 1; j < a->n_pts; jj = j++) make_faces(&r, face_opts, xf, b->v[jj], b->v[j], a->v[j], a->v[jj], split_p); t = a; a = b; b = t; // swap a and b for next pass } // closure: add last point of original line. first to ends, then as faces transform_pt_3d(e1->pts->v[i], xf, line->pts->v[line->pts->n_pts - 1]); transform_pt_3d(e2->pts->v[0], xf, line->pts->v[0]); for (jj = 0, j = 1; j < a->n_pts; jj = j++) make_faces(&r, face_opts, xf, line->pts->v[jj], line->pts->v[j], a->v[j], a->v[jj], split_p); // add ends to output ADD_TO_OUTPUT(e1); ADD_TO_OUTPUT(e2); } else { for (i = 0; i < s->n_slices; i++) { advance_transform_accum(sweep_accum, s->xforms); compose_transform_accum(sweep_xf, sweep_accum, 0); transform_points(b, sweep_xf, line->pts); for (jj = 0, j = 1; j < a->n_pts; jj = j++) make_faces(&r, s->opts, xf, b->v[jj], b->v[j], a->v[j], a->v[jj], split_p); t = a; a = b; b = t; // swap a and b for next pass } } } else if (swept->tag == O_POLYGON) { // a polygon becomes a surface represented by a sequence of 4-sided polygons (with "end caps") POLYGON_OBJECT *new_polygon, *polygon = (POLYGON_OBJECT *) swept; OPTS *end_opts = polygon->opts ? polygon->opts : s->opts; if (s->closed_p) warn(no_line, "closure tag on polygon sweep ignored (sorry, no line number)"); a = pts_1; b = pts_2; copy_point_list_3d(a, polygon->pts); // initial end cap new_polygon = raw_polygon(end_opts); transform_points(new_polygon->pts, xf, a); ADD_TO_OUTPUT(new_polygon); for (i = 0; i < s->n_slices; i++) { advance_transform_accum(sweep_accum, s->xforms); compose_transform_accum(sweep_xf, sweep_accum, 0); transform_points(b, sweep_xf, polygon->pts); for (jj = a->n_pts - 1, j = 0; j < a->n_pts; jj = j++) make_faces(&r, s->opts, xf, b->v[jj], b->v[j], a->v[j], a->v[jj], split_p); t = a; a = b; b = t; // swap a and b for next pass } // final end cap is copy of a (note reverse point order) new_polygon = raw_polygon(end_opts); reverse_copy_point_list_3d(new_polygon->pts, a); transform_points(new_polygon->pts, xf, new_polygon->pts); ADD_TO_OUTPUT(new_polygon); } else { warn(no_line, "cannot sweep a %s; object ignored (sorry, no line number)", object_type_str[swept->tag]); } } } clear_point_list_3d(pts_1); clear_point_list_3d(pts_2); clear_transform_list(sweep_accum); return r; #undef ADD_TO_OUTPUT } // forward declaration static OBJECT *rev_transformed_flat_scene(OBJECT * obj, TRANSFORM xf); OBJECT *flat_repeat(OBJECT * obj, TRANSFORM xf) { int i; REPEAT_OBJECT *s = (REPEAT_OBJECT *) obj; OBJECT *flat_repeated, *r; TRANSFORM_LIST repeat_accum[1]; TRANSFORM child_xf; init_transform_list(repeat_accum); if (s->n <= 0) return NULL; // recursively flatten repeated object in its own coordinates flat_repeated = flat_scene(s->repeated, NULL); fill_transform_accum(repeat_accum, s->xforms); r = NULL; for (i = 0; i < s->n; i++) { compose_transform_accum(child_xf, repeat_accum, xf); r = cat_objects(rev_transformed_flat_scene (flat_repeated, child_xf), r); advance_transform_accum(repeat_accum, s->xforms); } // flat_repeated is a memory leak return r; } OBJECT *flat_compound(OBJECT * obj, TRANSFORM xf) { COMPOUND_OBJECT *compound = (COMPOUND_OBJECT *) obj; TRANSFORM child_xf; compose(child_xf, xf, compound->xform); return rev_transformed_flat_scene(compound->child, child_xf); } typedef OBJECT *(*FLATTEN_FUNC) (OBJECT *, TRANSFORM); static FLATTEN_FUNC flatten_tbl[] = { NULL, // O_BASE NULL, // O_TAG_DEF NULL, // O_OPTS_DEF NULL, // O_SCALAR_DEF NULL, // O_POINT_DEF NULL, // O_VECTOR_DEF NULL, // O_TRANSFORM_DEF flat_dots, flat_line, flat_curve, flat_polygon, flat_special, flat_sweep, flat_repeat, flat_compound, }; OBJECT *cat_objects(OBJECT * lft, OBJECT * rgt) { OBJECT *p; if (!lft) return rgt; for (p = lft; p->sibling; p = p->sibling) /* skip */ ; p->sibling = rgt; return lft; } static OBJECT *rev_transformed_flat_scene(OBJECT * obj, TRANSFORM xf) { OBJECT *r = NULL; while (obj) { // flatten the object if (flatten_tbl[obj->tag] == NULL) die(no_line, "rev_transformed_flat_scene: bad tag %d", obj->tag); // join scene sibling lists r = cat_objects((*flatten_tbl[obj->tag]) (obj, xf), r); // on to next object obj = obj->sibling; } return r; } // call with null env omits camera transformation OBJECT *flat_scene(OBJECT * obj, GLOBAL_ENV * env) { FLOAT *camera = env && global_env_is_set_p(env, GE_CAMERA) ? env->camera : identity; return sibling_reverse(rev_transformed_flat_scene(obj, camera)); } // ---- overlay/underlay/depth sort flag -------------------------------------- static int dots_lay_val(OBJECT * obj) { return lay_val(((DOTS_OBJECT *) obj)->opts, LAY_IN); } static int line_lay_val(OBJECT * obj) { return lay_val(((LINE_OBJECT *) obj)->opts, LAY_IN); } static int curve_lay_val(OBJECT * obj) { return lay_val(((CURVE_OBJECT *) obj)->opts, LAY_IN); } static int polygon_lay_val(OBJECT * obj) { return lay_val(((POLYGON_OBJECT *) obj)->opts, LAY_IN); } static int special_lay_val(OBJECT * obj) { return lay_val(((SPECIAL_OBJECT *) obj)->opts, LAY_OVER); } typedef int (*LAY_VAL_FUNC) (OBJECT *); static LAY_VAL_FUNC lay_val_tbl[] = { NULL, // O_BASE NULL, // O_TAG_DEF NULL, // O_OPTS_DEF NULL, // O_SCALAR_DEF NULL, // O_POINT_DEF NULL, // O_VECTOR_DEF NULL, // O_TRANSFORM_DEF dots_lay_val, line_lay_val, curve_lay_val, polygon_lay_val, special_lay_val, NULL, // O_SWEEP (flattened) NULL, // O_REPEAT (flattened) NULL, // O_COMPOUND (flattened) }; int object_lay_val(OBJECT * obj) { if (!lay_val_tbl[obj->tag]) die(no_line, "bad tag in object_lay_val"); return (*lay_val_tbl[obj->tag]) (obj); } // ---- binary space partition ------------------------------------------------ static void add_dots_object_to_bsp_pass_1(OBJECT * obj, BSP_TREE * bsp) { } static void add_line_object_to_bsp_pass_1(OBJECT * obj, BSP_TREE * bsp) { } static void add_curve_object_to_bsp_pass_1(OBJECT * obj, BSP_TREE * bsp) { } static void add_polygon_object_to_bsp_pass_1(OBJECT * obj, BSP_TREE * bsp) { int i; POLYGON_3D *polygon; POLYGON_OBJECT *polygon_obj = (POLYGON_OBJECT *) obj; PLANE plane[1]; // copy point list to new polygon polygon = new_polygon_3d(polygon_obj->pts->n_pts); polygon->n_sides = polygon_obj->pts->n_pts; for (i = 0; i < polygon->n_sides; i++) copy_pt_3d(polygon->v[i], polygon_obj->pts->v[i]); find_polygon_plane(plane, polygon); // backface elimination // put the new polygon in the tree if (plane->n[Z] >= -FLOAT_EPS || !bool_opt_p(polygon_obj->opts, "cull", 1) || !bool_opt_p(global_env->opts, "cull", 1)) { add_polygon_to_bsp(bsp, polygon, obj); } else { delete_polygon_3d(polygon); } } static void add_special_object_to_bsp_pass_1(OBJECT * obj, BSP_TREE * bsp) { } typedef void (*BSP_INSERT_FUNC) (OBJECT *, BSP_TREE *); static BSP_INSERT_FUNC insert_in_bsp_pass_1_tbl[] = { NULL, // O_BASE NULL, // O_TAG_DEF NULL, // O_OPTS_DEF NULL, // O_SCALAR_DEF NULL, // O_POINT_DEF NULL, // O_VECTOR_DEF NULL, // O_TRANSFORM_DEF add_dots_object_to_bsp_pass_1, add_line_object_to_bsp_pass_1, add_curve_object_to_bsp_pass_1, add_polygon_object_to_bsp_pass_1, add_special_object_to_bsp_pass_1, NULL, // O_SWEEP (flattened) NULL, // O_REPEAT (flattened) NULL, // O_COMPOUND (flattened) }; static void add_dots_object_to_bsp_pass_2(OBJECT * obj, BSP_TREE * bsp) { int i; DOTS_OBJECT *dots_obj = (DOTS_OBJECT *) obj; // insert each dot as a polyline with only one vertex for (i = 0; i < dots_obj->pts->n_pts; i++) { POLYLINE_3D *dot = new_polyline_3d(1); dot->n_vertices = 1; copy_pt_3d(dot->v[0], dots_obj->pts->v[i]); add_polyline_to_bsp(bsp, dot, obj); } } static void add_line_object_to_bsp_pass_2(OBJECT * obj, BSP_TREE * bsp) { int i; POLYLINE_3D *polyline; LINE_OBJECT *line_obj = (LINE_OBJECT *) obj; // copy point list to new polyline polyline = new_polyline_3d(line_obj->pts->n_pts); polyline->n_vertices = line_obj->pts->n_pts; for (i = 0; i < line_obj->pts->n_pts; i++) copy_pt_3d(polyline->v[i], line_obj->pts->v[i]); // fprintf(stderr, "adding to bsp [%p(%d)]\n", line_obj->opts, line_obj->opts->list->n_elts); // DEBUG // put the new polyline in the tree add_polyline_to_bsp(bsp, polyline, obj); } static void add_curve_object_to_bsp_pass_2(OBJECT * obj, BSP_TREE * bsp) { } static void add_polygon_object_to_bsp_pass_2(OBJECT * obj, BSP_TREE * bsp) { } static int special_first_point_index(SPECIAL_OBJECT * special) { int i; for (i = 0; i < special->args->n_args; i++) if (special->args->arg[i].tag == SA_POINT) return i; return -1; } // Really returninga location of a POINT_3D here static FLOAT *special_first_point(SPECIAL_OBJECT * special) { int i = special_first_point_index(special); return (i >= 0) ? special->args->arg[i].val.pt : origin_3d; } static void add_special_object_to_bsp_pass_2(OBJECT * obj, BSP_TREE * bsp) { SPECIAL_OBJECT *special_obj = (SPECIAL_OBJECT *) obj; POLYLINE_3D *special = new_polyline_3d(1); special->n_vertices = 1; // Find the first point. copy_pt_3d(special->v[0], special_first_point(special_obj)); add_polyline_to_bsp(bsp, special, obj); } static BSP_INSERT_FUNC insert_in_bsp_pass_2_tbl[] = { NULL, // O_BASE NULL, // O_TAG_DEF NULL, // O_OPTS_DEF NULL, // O_SCALAR_DEF NULL, // O_POINT_DEF NULL, // O_VECTOR_DEF NULL, // O_TRANSFORM_DEF add_dots_object_to_bsp_pass_2, add_line_object_to_bsp_pass_2, add_curve_object_to_bsp_pass_2, add_polygon_object_to_bsp_pass_2, add_special_object_to_bsp_pass_2, NULL, // O_SWEEP (flattened) NULL, // O_REPEAT (flattened) NULL, // O_COMPOUND (flattened) }; // table functions are called in // OBJECT *hsr_scene_with_bsp(OBJECT *scene); static void get_dots_from_polyline(OBJECT * src, OBJECT ** output, BSP_POLYLINE_NODE * polyline_node) { DOTS_OBJECT *dots_src = (DOTS_OBJECT *) src; DOTS_OBJECT *new_obj = raw_dots(dots_src->opts); copy_point_list_3d(new_obj->pts, (POINT_LIST_3D *) polyline_node->polyline); new_obj->sibling = *output; *output = (OBJECT *) new_obj; } static void get_line_from_polyline(OBJECT * src, OBJECT ** output, BSP_POLYLINE_NODE * polyline_node) { LINE_OBJECT *line_src = (LINE_OBJECT *) src; LINE_OBJECT *new_obj = raw_line(copy_line_opts(line_src->opts, polyline_node->first_p, polyline_node->last_p, global_env->output_language)); copy_point_list_3d(new_obj->pts, (POINT_LIST_3D *) polyline_node->polyline); new_obj->sibling = *output; *output = (OBJECT *) new_obj; } static void get_curve_from_polyline(OBJECT * src, OBJECT ** output, BSP_POLYLINE_NODE * polyline_node) { } static void get_polygon_border_from_polyline(OBJECT * src, OBJECT ** output, BSP_POLYLINE_NODE * polyline_node) { // no longer used POLYGON_OBJECT *polygon_src = (POLYGON_OBJECT *) src; LINE_OBJECT *new_obj = raw_line(copy_opts(polygon_src->opts, OPT_LINE, global_env-> output_language)); copy_point_list_3d(new_obj->pts, (POINT_LIST_3D *) polyline_node->polyline); new_obj->sibling = *output; *output = (OBJECT *) new_obj; } static void get_special_from_polyline(OBJECT * src, OBJECT ** output, BSP_POLYLINE_NODE * polyline_node) { SPECIAL_OBJECT *special_src = (SPECIAL_OBJECT *) src; SPECIAL_OBJECT *new_obj = raw_special(copy_opts(special_src->opts, OPT_INTERNAL, global_env->output_language)); // go back to original special since we didn't split copy_special_arg_list(new_obj->args, special_src->args); new_obj->code = safe_strdup(special_src->code); new_obj->sibling = *output; *output = (OBJECT *) new_obj; } typedef void (*GET_OBJ_FROM_POLYLINE_FUNC) (OBJECT * src, OBJECT ** output, BSP_POLYLINE_NODE * polyline_node); static GET_OBJ_FROM_POLYLINE_FUNC get_obj_from_polyline_tbl[] = { NULL, // O_BASE NULL, // O_TAG_DEF NULL, // O_OPTS_DEF NULL, // O_SCALAR_DEF NULL, // O_POINT_DEF NULL, // O_VECTOR_DEF NULL, // O_TRANSFORM_DEF get_dots_from_polyline, get_line_from_polyline, get_curve_from_polyline, get_polygon_border_from_polyline, get_special_from_polyline, NULL, // O_SWEEP (flattened) NULL, // O_REPEAT (flattened) NULL, // O_COMPOUND (flattened) }; void get_objects_from_bsp_node(BSP_NODE * bsp, void *env) { int i, j, k, broken_border_p; OBJECT **output = (OBJECT **) env; if (bsp == NULL) return; if (bsp->tag == BSP_POLYGON) { OPTS *opts; LINE_OBJECT *new_line_obj = NULL; BSP_POLYGON_NODE *polygon_node = (BSP_POLYGON_NODE *) bsp; POLYGON_OBJECT *src = bsp->attr, *new_polygon_obj; broken_border_p = 0; for (i = 0; i < polygon_node->polygon->n_sides; i++) { if (!polygon_node->polygon_attr->elt[i].border_p) { broken_border_p = 1; break; } } if (broken_border_p) { // add these options if user didn't specify them opts = copy_opts(src->opts, OPT_POLYGON, global_env->output_language); add_no_edges_default_opt(&opts, global_env->output_language); add_solid_white_default_opt(&opts, global_env->output_language); new_polygon_obj = raw_polygon(opts); copy_point_list_3d(new_polygon_obj->pts, (POINT_LIST_3D *) polygon_node->polygon); new_polygon_obj->sibling = *output; *output = (OBJECT *) new_polygon_obj; // create the border from edges that did not result from splitting // // find a break in the border if there is one for (j = polygon_node->polygon->n_sides - 1, i = 0; i < polygon_node->polygon->n_sides; j = i++) { if (!polygon_node->polygon_attr->elt[j].border_p) break; } if (i == polygon_node->polygon->n_sides) i = 0; // j->i now isn't inside a border edge section, which is what we want for (k = 0; k < polygon_node->polygon->n_sides; j = i, i = (i + 1) % polygon_node->polygon->n_sides, k++) { if (polygon_node->polygon_attr->elt[j].border_p) { if (new_line_obj == NULL) { opts = copy_opts(src->opts, OPT_LINE, global_env->output_language); new_line_obj = raw_line(opts); copy_pt_3d(pushed_point_list_3d_v (new_line_obj->pts), polygon_node->polygon->v[j]); } copy_pt_3d(pushed_point_list_3d_v(new_line_obj->pts), polygon_node->polygon->v[i]); } else if (new_line_obj) { new_line_obj->sibling = *output; *output = (OBJECT *) new_line_obj; new_line_obj = NULL; } } if (new_line_obj) { new_line_obj->sibling = *output; *output = (OBJECT *) new_line_obj; new_line_obj = NULL; } } else { opts = copy_opts(src->opts, OPT_POLYGON | OPT_LINE, global_env->output_language); add_solid_white_default_opt(&opts, global_env->output_language); new_polygon_obj = raw_polygon(opts); new_polygon_obj->border_p = 1; copy_point_list_3d(new_polygon_obj->pts, (POINT_LIST_3D *) polygon_node->polygon); new_polygon_obj->sibling = *output; *output = (OBJECT *) new_polygon_obj; } } else { // BSP_POLYLINE OBJECT *src = bsp->attr; (*get_obj_from_polyline_tbl[src->tag]) (src, output, (BSP_POLYLINE_NODE *) bsp); } } static void add_default_fill_opts(POLYGON_OBJECT * src) { OPTS *opts = copy_opts(src->opts, OPT_POLYGON | OPT_LINE, global_env->output_language); add_solid_white_default_opt(&opts, global_env->output_language); src->opts = opts; } static void add_default_fill_opts_to_polygons(OBJECT * src) { OBJECT *obj; for (obj = src; obj; obj = obj->sibling) if (obj->tag == O_POLYGON) add_default_fill_opts((POLYGON_OBJECT *) obj); } OBJECT *hsr_scene_with_bsp(OBJECT * scene) { OBJECT *p, *t, *underlay, *overlay, *sorted; BSP_TREE bsp; // two passes are needed to serve the bsp requirement // that polylines be inserted after all polygons are // already there // also take care of underlays and ovelays in the first pass bsp = NULL; underlay = overlay = sorted = NULL; for (p = scene; p; p = p->sibling) { switch (object_lay_val(p)) { case LAY_UNDER: t = copy_drawable_without_siblings(p); t->sibling = underlay; underlay = t; break; case LAY_IN: (*insert_in_bsp_pass_1_tbl[p->tag]) (p, &bsp); break; case LAY_OVER: t = copy_drawable_without_siblings(p); t->sibling = overlay; overlay = t; break; default: die(no_line, "bad lay value in hsr_scene_with_bsp"); break; } } for (p = scene; p; p = p->sibling) if (object_lay_val(p) == LAY_IN) (*insert_in_bsp_pass_2_tbl[p->tag]) (p, &bsp); traverse_bsp(bsp, get_objects_from_bsp_node, &sorted); // Overlay and underlay polygons still need fill options added. add_default_fill_opts_to_polygons(overlay); add_default_fill_opts_to_polygons(underlay); // All three sublists are now in reverse order, so cat overlay then underlay sorted = cat_objects(overlay, sorted); sorted = cat_objects(sorted, underlay); // Final reverse makes everything right. sorted = sibling_reverse(sorted); return sorted; } // ---- depth sort ------------------------------------------------------------ static void add_dots_object_to_sort(OBJECT * obj, BSP_TREE * bsp) { int i; DOTS_OBJECT *dots_obj = (DOTS_OBJECT *) obj; POLYLINE_3D dot[1]; init_polyline_3d(dot); setup_polyline_3d(dot, 1); dot->n_vertices = 1; // insert each dot as a polyline with only one vertex for (i = 0; i < dots_obj->pts->n_pts; i++) { copy_pt_3d(dot->v[0], dots_obj->pts->v[i]); add_polyline_to_sort(bsp, dot, obj); } clear_polyline_3d(dot); } static void add_line_object_to_sort(OBJECT * obj, BSP_TREE * bsp) { LINE_OBJECT *line_obj = (LINE_OBJECT *) obj; // DANGER: assumes point list in polyline object is congruent to a geometry.h polyline add_polyline_to_sort(bsp, (POLYLINE_3D *) line_obj->pts, obj); } static void add_curve_object_to_sort(OBJECT * obj, BSP_TREE * bsp) { } static void add_polygon_object_to_sort(OBJECT * obj, BSP_TREE * bsp) { POLYGON_OBJECT *polygon_obj = (POLYGON_OBJECT *) obj; PLANE plane[1]; // backface elimination // put the new polygon in the tree find_polygon_plane(plane, (POLYGON_3D *) polygon_obj->pts); if (plane->n[Z] >= -FLOAT_EPS || !bool_opt_p(polygon_obj->opts, "cull", 1) || !bool_opt_p(global_env->opts, "cull", 1)) add_polygon_to_sort(bsp, (POLYGON_3D *) polygon_obj->pts, obj); } static void add_special_object_to_sort(OBJECT * obj, BSP_TREE * bsp) { SPECIAL_OBJECT *special_obj = (SPECIAL_OBJECT *) obj; POLYLINE_3D *special = new_polyline_3d(1); special->n_vertices = 1; copy_pt_3d(special->v[0], special_first_point(special_obj)); add_polyline_to_sort(bsp, special, obj); } typedef void (*ADD_TO_DS_FUNC) (OBJECT *, BSP_TREE *); static ADD_TO_DS_FUNC add_to_sort_tbl[] = { NULL, // O_BASE NULL, // O_TAG_DEF NULL, // O_OPTS_DEF NULL, // O_SCALAR_DEF NULL, // O_POINT_DEF NULL, // O_VECTOR_DEF NULL, // O_TRANSFORM_DEF add_dots_object_to_sort, add_line_object_to_sort, add_curve_object_to_sort, add_polygon_object_to_sort, add_special_object_to_sort, NULL, // O_SWEEP (flattened) NULL, // O_REPEAT (flattened) NULL, // O_COMPOUND (flattened) }; OBJECT *hsr_scene_with_depth_sort(OBJECT * scene) { OBJECT *p, *t, *underlay, *overlay, *sorted; BSP_TREE bsp; // two passes are needed to serve the bsp requirement // that polylines be inserted after all polygons are // already there // also take care of underlays and ovelays in the first pass bsp = NULL; underlay = overlay = sorted = NULL; for (p = scene; p; p = p->sibling) { switch (object_lay_val(p)) { case LAY_UNDER: t = copy_drawable_without_siblings(p); t->sibling = underlay; underlay = t; break; case LAY_IN: (*add_to_sort_tbl[p->tag]) (p, &bsp); break; case LAY_OVER: t = copy_drawable_without_siblings(p); t->sibling = overlay; overlay = t; break; default: die(no_line, "bad lay value in hsr_scene_with_depth_sort"); break; } } sort_by_depth(&bsp); traverse_depth_sort(bsp, get_objects_from_bsp_node, &sorted); // Overlay and underlay polygons still need fill options added. add_default_fill_opts_to_polygons(overlay); add_default_fill_opts_to_polygons(underlay); // all three sublists are now in reverse order, so cat overlay to start sorted = cat_objects(overlay, sorted); sorted = cat_objects(sorted, underlay); // final reverse makes everything good. sorted = sibling_reverse(sorted); return sorted; } // ---- extent finding -------------------------------------------------------- static void get_extent_of_points(POINT_LIST_3D * pts, BOX_3D * e) { int i; for (i = 0; i < pts->n_pts; i++) fold_min_max_pt_3d(e, pts->v[i]); } static void get_extent_of_dots(OBJECT * obj, BOX_3D * e) { DOTS_OBJECT *dots = (DOTS_OBJECT *) obj; get_extent_of_points(dots->pts, e); } static void get_extent_of_line(OBJECT * obj, BOX_3D * e) { LINE_OBJECT *line = (LINE_OBJECT *) obj; get_extent_of_points(line->pts, e); } static void get_extent_of_curve(OBJECT * obj, BOX_3D * e) { CURVE_OBJECT *curve = (CURVE_OBJECT *) obj; get_extent_of_points(curve->pts, e); } static void get_extent_of_polygon(OBJECT * obj, BOX_3D * e) { POLYGON_OBJECT *polygon = (POLYGON_OBJECT *) obj; get_extent_of_points(polygon->pts, e); } static void get_extent_of_special(OBJECT * obj, BOX_3D * e) { SPECIAL_OBJECT *special = (SPECIAL_OBJECT *) obj; fold_min_max_pt_3d(e, special_first_point(special)); } typedef void (*EXTENT_FUNC) (OBJECT *, BOX_3D *); static EXTENT_FUNC extent_tbl[] = { NULL, // O_BASE NULL, // O_TAG_DEF NULL, // O_OPTS_DEF NULL, // O_SCALAR_DEF NULL, // O_POINT_DEF NULL, // O_VECTOR_DEF NULL, // O_TRANSFORM_DEF get_extent_of_dots, get_extent_of_line, get_extent_of_curve, get_extent_of_polygon, get_extent_of_special, NULL, // O_SWEEP (flattened) NULL, // O_REPEAT (flattened) NULL, // O_COMPOUND (flattened) }; void get_extent(OBJECT * obj, BOX_3D * e, int *n_obj) { if (obj) { int n = 0; init_box_3d(e); while (obj) { if (extent_tbl[obj->tag] == NULL) die(no_line, "get_extent: bad tag %d", obj->tag); (*extent_tbl[obj->tag]) (obj, e); obj = obj->sibling; ++n; } *n_obj = n; } else { // reasonable empty box e->min[X] = e->min[Y] = e->min[Z] = 0; e->max[X] = e->max[Y] = e->max[Z] = 1; *n_obj = 0; } } int xy_overlap_p(OBJECT * obj, BOX_3D * e) { BOX_3D e_obj[1]; init_box_3d(e_obj); (*extent_tbl[obj->tag]) (obj, e_obj); return !(e_obj->max[X] < e->min[X] || e_obj->min[X] > e->max[X] || e_obj->max[Y] < e->min[Y] || e_obj->min[Y] > e->max[Y]); } sketch-0.3.7/scene.h0100644000076400010400000001160411722043474017042 0ustar freddieresslerAdministrators/* scene.h Copyright (C) 2005,2006,2007,2008 Eugene K. Ressler, Jr. This file is part of Sketch, a small, simple system for making 3d drawings with LaTeX and the PSTricks or TikZ package. Sketch 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, or (at your option) any later version. Sketch 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 Sketch; see the file COPYING.txt. If not, see http://www.gnu.org/copyleft */ #ifndef __SCENE_H #define __SCENE_H #include "opts.h" #include "error.h" #include "geometry.h" #include "expr.h" #include "bsp.h" #include "dynarray.h" #include "global.h" typedef struct point_list_3d_t { DYNAMIC_2D_ARRAY_FIELDS(POINT_3D, v, n_pts); } POINT_LIST_3D; DECLARE_DYNAMIC_2D_ARRAY_PROTOS(POINT_LIST_3D, POINT_3D, FLOAT, point_list_3d, v, n_pts); typedef struct transform_list_t { DYNAMIC_2D_ARRAY_FIELDS(TRANSFORM, xf, n_xfs); } TRANSFORM_LIST; DECLARE_DYNAMIC_2D_ARRAY_PROTOS(TRANSFORM_LIST, TRANSFORM, FLOAT, transform_list, xf, n_xfs); // object_type_str[] definition in scene.c must match! typedef enum object_type_t { O_BASE, O_TAG_DEF, O_OPTS_DEF, O_SCALAR_DEF, O_POINT_DEF, O_VECTOR_DEF, O_TRANSFORM_DEF, O_DOTS, O_LINE, O_CURVE, O_POLYGON, O_SPECIAL, O_SWEEP, O_REPEAT, O_COMPOUND, } OBJECT_TYPE; #define is_drawable(P) ((P)->tag >= O_DOTS) extern char *object_type_str[]; #define BASE_OBJECT_FIELDS \ struct object_t *sibling; \ OBJECT_TYPE tag typedef struct object_t { BASE_OBJECT_FIELDS; } OBJECT; typedef OBJECT TAG_DEF; OBJECT *new_tag_def(void); typedef struct opts_def_t { BASE_OBJECT_FIELDS; OPTS *opts; } OPTS_DEF; OBJECT *new_opts_def(char *opts_str, SRC_LINE line); OBJECT *new_opts_def_copy(OPTS * opts); typedef struct scalar_def_t { BASE_OBJECT_FIELDS; FLOAT val; } SCALAR_DEF; OBJECT *new_scalar_def(FLOAT val); typedef struct point_def_t { BASE_OBJECT_FIELDS; POINT_3D p; } POINT_DEF; OBJECT *new_point_def(POINT_3D p); typedef struct vector_def_t { BASE_OBJECT_FIELDS; VECTOR_3D v; } VECTOR_DEF; OBJECT *new_vector_def(VECTOR_3D v); typedef struct transform_def_t { BASE_OBJECT_FIELDS; TRANSFORM xf; } TRANSFORM_DEF; OBJECT *new_transform_def(TRANSFORM xf); typedef struct dots_t { BASE_OBJECT_FIELDS; OPTS *opts; POINT_LIST_3D pts[1]; } DOTS_OBJECT; OBJECT *new_dots(OPTS * opts, OBJECT * pts); typedef struct line_object_t { BASE_OBJECT_FIELDS; OPTS *opts; POINT_LIST_3D pts[1]; } LINE_OBJECT; OBJECT *new_line(OPTS * opts, OBJECT * pts); typedef struct curve_t { BASE_OBJECT_FIELDS; OPTS *opts; POINT_LIST_3D pts[1]; } CURVE_OBJECT; OBJECT *new_curve(OPTS * opts, OBJECT * pts); typedef struct polygon_t { BASE_OBJECT_FIELDS; OPTS *opts; int border_p; POINT_LIST_3D pts[1]; } POLYGON_OBJECT; OBJECT *new_polygon(OPTS * opts, OBJECT * pts); typedef enum { SA_SCALAR, SA_POINT, SA_VECTOR, } SPECIAL_ARG_TYPE; typedef struct special_arg_t { SPECIAL_ARG_TYPE tag; union val_u { POINT_3D pt; VECTOR_3D v; FLOAT flt; } val; } SPECIAL_ARG; typedef struct special_arg_list_t { DYNAMIC_ARRAY_FIELDS(SPECIAL_ARG, arg, n_args); } SPECIAL_ARG_LIST; DECLARE_DYNAMIC_ARRAY_PROTOS(SPECIAL_ARG_LIST, SPECIAL_ARG, special_arg_list, arg, n_args); typedef struct special_t { BASE_OBJECT_FIELDS; char *code; OPTS *opts; SPECIAL_ARG_LIST args[1]; } SPECIAL_OBJECT; OBJECT *new_special(char *code, OBJECT * pts, SRC_LINE line); typedef struct sweep_t { BASE_OBJECT_FIELDS; OPTS *opts; int n_slices; int closed_p; TRANSFORM_LIST xforms[1]; OBJECT *swept; } SWEEP_OBJECT; OBJECT *new_sweep(OPTS * opts, int n_slices, int closed_p, OBJECT * xfs, OBJECT * swept); typedef struct repeat_t { BASE_OBJECT_FIELDS; int n; TRANSFORM_LIST xforms[1]; OBJECT *repeated; } REPEAT_OBJECT; OBJECT *new_repeat(int n, OBJECT * xfs, OBJECT * repeated); typedef struct compound_t { BASE_OBJECT_FIELDS; TRANSFORM xform; OBJECT *child; } COMPOUND_OBJECT; OBJECT *new_compound(TRANSFORM xform, OBJECT * child); OBJECT *copy_drawable(OBJECT * obj); OBJECT *cat_objects(OBJECT * lft, OBJECT * rgt); OBJECT *sibling_reverse(OBJECT * obj); OBJECT *object_from_expr(EXPR_VAL * val); OBJECT *flat_scene(OBJECT * obj, GLOBAL_ENV * env); OBJECT *hsr_scene_with_bsp(OBJECT * scene); OBJECT *hsr_scene_with_depth_sort(OBJECT * scene); void get_extent(OBJECT * obj, BOX_3D * e, int *n_obj); int xy_overlap_p(OBJECT * obj, BOX_3D * e); #endif sketch-0.3.7/sketch.l0100644000076400010400000001675611722043474017247 0ustar freddieresslerAdministrators%{ /* sketch.l Copyright (C) 2005,2006,2007,2008 Eugene K. Ressler, Jr. This file is part of Sketch, a small, simple system for making 3d drawings with LaTeX and the PSTricks or TikZ package. Sketch 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, or (at your option) any later version. Sketch 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 Sketch; see the file COPYING.txt. If not, see http://www.gnu.org/copyleft */ #include #include #include #include "geometry.h" #include "symbol.h" #include "expr.h" #include "parse.h" #include "y.tab.h" #include "error.h" #include "opts.h" #if defined(_WIN32) && !defined fileno #define fileno(F) _fileno(F) #pragma warning(disable:4102) #endif // undo the safety net in polygon.h so flex scanner can use these library functions #undef malloc #undef realloc #undef free #undef strdup SRC_LINE line; #define MAX_INPUT_DEPTH 10 struct { YY_BUFFER_STATE buffer_state; SRC_LINE line; } input_stack[MAX_INPUT_DEPTH]; int input_stack_ptr = 0; #define INIT_SPECIAL_BUF_SIZE 40 void update_line_number(void) { int i; for (i = 0; yytext[i]; i++) if (yytext[i] == '\n') line.number++; } %} %x inputdirective Identifier [A-Za-z]([A-Za-z0-9_]*[A-Za-z0-9])? WSnotNL [ \t\r] WS [ \t\r\n] %% [%#].* /* comment; do nothing */ {WSnotNL}+ /* white space; do nothing */ "\n" { line.number++; } "["[^\]=]+"="[^\]]+"]" { /* [=] */ // elide the brackets yylval.str = safe_malloc(yyleng + 1 - 2); str_slice(yylval.str, yyleng + 1 - 2, yytext, 1, -1); return OPTS_STR; } "language" { return LANGUAGE; } "pstricks" { return PSTRICKS; } "tikz" { return TIKZ; } "latex" { return LaTeX; } "context" { return ConTeXt; } "input"{WS}* { update_line_number(); BEGIN(inputdirective); } "curve" { return CURVE; } "camera" { return CAMERA; } "def" { return DEF; } "dots" { return DOTS; } "frame" { return FRAME; } "global" { return GLOBAL; } "line" { return LINE; } "polygon" { return POLYGON; } "put" { return PUT; } "repeat" { return REPEAT; } "set" { return SET; } "sweep" { return SWEEP; } "then" { return THEN; } "asin"{WS}*"(" { update_line_number(); return ASIN; } "acos"{WS}*"(" { update_line_number(); return ACOS; } "atan2"{WS}*"(" { update_line_number(); return ATAN2; } "cos"{WS}*"(" { update_line_number(); return COS; } "inverse"{WS}*"(" { update_line_number(); return INVERSE; } "picturebox" { return PICTUREBOX; } "perspective"{WS}*"(" { update_line_number(); return PERSPECTIVE; } "project"{WS}*"(" { update_line_number(); return PROJECT; } "rotate"{WS}*"(" { update_line_number(); return ROTATE; } "scale"{WS}*"(" { update_line_number(); return SCALE; } "sin"{WS}*"(" { update_line_number(); return SIN; } "special"{WS}* { char *rtn; int max_rtn_len, delim, i, ch; update_line_number(); max_rtn_len = INIT_SPECIAL_BUF_SIZE - 1; rtn = safe_malloc(max_rtn_len + 1); i = 0; delim = input(); if (delim == EOF) { err(line, "expected special text, found end of file"); } else { while ((ch = input()) != delim && ch != EOF) { if (ch == '\n') ++line.number; if (i == max_rtn_len) { max_rtn_len *= 2; rtn = safe_realloc(rtn, max_rtn_len + 1); } rtn[i++] = ch; } if (ch != delim) err(line, "missing end delimeter '%c' in special", delim); } rtn[i] = '\0'; yylval.str = rtn; return SPECIAL; } "sqrt"{WS}*"(" { update_line_number(); return SQRT; } "translate"{WS}*"(" { update_line_number(); return TRANSLATE; } "unit"{WS}*"(" { update_line_number(); return UNIT; } "view"{WS}*"(" { update_line_number(); return VIEW; } {Identifier} { str_slice(yylval.name, sizeof yylval.name, yytext, 0, sizeof yylval.name); return ID; } "<"{Identifier}">" { str_slice(yylval.name, sizeof yylval.name, yytext, 1, -1); return ANGLE_ID; } "<>" { return EMPTY_ANGLE; } "'"{WS}*"x" { update_line_number(); yylval.index = 0; return TICK; } "'"{WS}*"y" { update_line_number(); yylval.index = 1; return TICK; } "'"{WS}*"z" { update_line_number(); yylval.index = 2; return TICK; } "("{Identifier}")" { str_slice(yylval.name, sizeof yylval.name, yytext, 1, -1); return PAREN_ID; } "["{Identifier}"]" { str_slice(yylval.name, sizeof yylval.name, yytext, 1, -1); return BRACKET_ID; } "[["{Identifier}"]]" { str_slice(yylval.name, sizeof yylval.name, yytext, 2, -2); return DBL_BRACKET_ID; } "{"{Identifier}"}" { str_slice(yylval.name, sizeof yylval.name, yytext, 1, -1); return CURLY_ID; } (([0-9]+"."[0-9]*)|("."[0-9]+)|([0-9]+))([eE][-+]?[0-9]+)? { if (sscanf(yytext, FLOAT_SCAN_FMT, &yylval.flt) != 1) { err(line, "numeric constant %s could not be converted (probably out of range)", yytext); yylval.flt = 0; } return NUM; } "("{WS}*{Identifier}{WS}*")" { warn(line, "found parenthesized identifier '%s'; delete space if you meant a point ref", yytext); yyless(1); return '('; } "["{WS}*{Identifier}{WS}*"]" { warn(line, "found id in brackets '%s'; delete space if you meant a vector ref", yytext); yyless(1); return '['; } "{"{WS}*{Identifier}{WS}*"}" { warn(line, "found id in braces '%s'; delete space if you meant a drawable ref", yytext); yyless(1); return '{'; } "[["{WS}*{Identifier}{WS}*"]]" { warn(line, "found id in double-brackets '%s'; delete space if you meant a transform ref", yytext); yyless(1); return '['; } "<"{WS}*{Identifier}{WS}*">" { warn(line, "found id in angle-brackets '%s'; delete space if you meant a tag ref", yytext); yyless(1); return '<'; } [-+*/^|.()\[\]{}=,] { return yytext[0]; } "{"[^}]*"}" { FILE *f; char buf[1024]; int i; // Copy path from current sketch source file name, if any. i = str_last_occurance(line.file_name, "/\\"); if (i >= 0) { str_slice(buf, sizeof buf, line.file_name, 0, i + 1); } else { buf[0] = '\0'; } i = strlen(buf); str_slice(&buf[i], sizeof buf - i, yytext, 1, -1); if (input_stack_ptr >= MAX_INPUT_DEPTH) { err(line, "inputs nested too deeply (file '%s' ignored)", buf); } else { f = fopen(buf, "r"); if (f) { yyin = f; input_stack[input_stack_ptr].buffer_state = YY_CURRENT_BUFFER; input_stack[input_stack_ptr].line = line; input_stack_ptr++; yy_switch_to_buffer(yy_create_buffer(yyin, YY_BUF_SIZE)); line.number = 1; line.include_p = 1; line.file_name = safe_strdup(buf); } else err(line, "can't open input '%s'", buf); } BEGIN(INITIAL); } <> { if (input_stack_ptr == 0) { yyterminate(); } else { yy_delete_buffer(YY_CURRENT_BUFFER); // don't free: refs may still exist for def locs in the symbol table // safe_free(line.file_name); --input_stack_ptr; yy_switch_to_buffer(input_stack[input_stack_ptr].buffer_state); line = input_stack[input_stack_ptr].line; } } . { die(line, "bad char '%c' (%d)\n", yytext[0], (int)yytext[0]); } %% void set_lexer_file(char *file_name, FILE *f) { line.file_name = safe_strdup(file_name); line.include_p = 0; line.number = 1; yyin = f; } sketch-0.3.7/sketch.y0100644000076400010400000004401711722043474017253 0ustar freddieresslerAdministrators/* sketch.y Copyright (C) 2005,2006,2007,2008 Eugene K. Ressler, Jr. This file is part of Sketch, a small, simple system for making 3d drawings with LaTeX and the PSTricks or TikZ package. Sketch 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, or (at your option) any later version. Sketch 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 Sketch; see the file COPYING.txt. If not, see http://www.gnu.org/copyleft */ %{ #include #include #if defined(_WIN32) # include # if !defined(alloca) # define alloca _alloca # endif # ifdef _MSC_VER // turn of warning about unused goto label in bison skeleton # pragma warning(disable:4102) # endif # define YYSTACK_USE_ALLOCA 1 #endif #include "parse.h" #include "expr.h" #include "global.h" int yylex(void); void yyerror (char *s) /* Called by yyparse on error */ { extern SRC_LINE line; err(line, "%s", s); } static SYMBOL_TABLE *sym_tab; // exported parse tree and global environment static OBJECT *objects; %} %union { char *str; FLOAT flt; POINT_3D pt; VECTOR_3D vec; TRANSFORM xf; EXPR_VAL exv; SYMBOL_NAME name; OBJECT *obj; OPTS *opts; int bool; int index; } %token ID PAREN_ID BRACKET_ID %token DBL_BRACKET_ID CURLY_ID ANGLE_ID %token NUM %token OPTS_STR SPECIAL %token TICK %token THEN DEF EMPTY_ANGLE %token DOTS LINE CURVE POLYGON REPEAT SWEEP PUT %token TRANSLATE ROTATE SCALE PROJECT PERSPECTIVE VIEW %token SQRT SIN ASIN COS ACOS ATAN2 UNIT INVERSE %token GLOBAL SET PICTUREBOX FRAME CAMERA %token LANGUAGE PSTRICKS TIKZ LaTeX ConTeXt %type tagged_defs %type options option_id_list %type scalar scalar_expr opt_baseline %type point point_expr %type vector_literal vector_id vector vector_expr %type transform transform_expr %type expr %type defs_and_decls rev_defs_and_decls decl def_or_decl defable %type points rev_points transforms rev_transforms special_arg %type special_args rev_special_args %type opt_star %type output_language comma_macro_package graphics_language macro_package %right THEN %left '-' '+' %left '*' '/' '.' %left NEG /* negation--unary minus */ %right '^' /* exponentiation */ %left TICK /* point and vector indexing */ %% input : defs_and_decls global_decl_block { objects = $1; } /* sets global_env as a side effect */ global_decl_block : GLOBAL '{' global_decls '}' | /* empty */ ; global_decls : global_decls global_decl | global_decl ; global_decl : SET OPTS_STR { set_global_env_opts(global_env, $2, line); } | PICTUREBOX '[' scalar_expr ']' { set_global_baseline(global_env, $3, line); } | PICTUREBOX opt_baseline point point { set_global_baseline(global_env, $2, line); set_global_env_extent(global_env, $3, $4, line); } | CAMERA transform_expr { set_global_env_camera(global_env, $2, line); } | FRAME { set_global_env_frame(global_env, NULL, line); } | FRAME OPTS_STR { set_global_env_frame(global_env, $2, line); } | LANGUAGE output_language { set_global_output_language(global_env, $2, line); } | def ; output_language : graphics_language comma_macro_package { $$ = $1 | $2; } ; graphics_language : PSTRICKS { $$ = GEOL_PSTRICKS; } | TIKZ { $$ = GEOL_TIKZ; } ; comma_macro_package : ',' macro_package { $$ = $2; } | /* empty */ { $$ = GEOL_LATEX; } ; macro_package : LaTeX { $$ = GEOL_LATEX; } | ConTeXt { $$ = GEOL_CONTEXT; } ; opt_baseline : '[' scalar_expr ']' { $$ = $2; } | /* empty */ { $$ = NO_BASELINE; } ; defs_and_decls : rev_defs_and_decls { $$ = sibling_reverse($1); } ; rev_defs_and_decls : rev_defs_and_decls def_or_decl { $$ = cat_objects(sibling_reverse($2), $1); } | def_or_decl { $$ = sibling_reverse($1); } ; def_or_decl : def { $$ = NULL; } | decl { $$ = $1; } ; /* slightly strange rules are to avoid inherited attributes */ def : DEF ID defable { new_symbol(sym_tab, $2, 0, $3, line); } | tagged_defs EMPTY_ANGLE defable { new_symbol(sym_tab, $1, 0, $3, line); } | DEF ID EMPTY_ANGLE { new_symbol(sym_tab, $2, 0, new_tag_def(), line); } ; tagged_defs : DEF ID ANGLE_ID defable { strcpy($$, new_symbol(sym_tab, $2, $3, $4, line) ? "" : $2); } | tagged_defs ANGLE_ID defable { strcpy($$, new_symbol(sym_tab, $1, $2, $3, line) ? "" : $1); } ; defable : expr { $$ = object_from_expr(&$1); } | decl { $$ = $1; } | OPTS_STR { $$ = new_opts_def($1, line); } ; decl : DOTS options points { $$ = new_dots($2, $3); } | LINE options points { $$ = new_line($2, $3); } | CURVE options points { $$ = new_curve($2, $3); } | POLYGON options points { $$ = new_polygon($2, $3); } | SWEEP options '{' scalar_expr opt_star ',' transforms '}' point { $$ = new_sweep($2, $4, $5, $7, new_point_def($9)); } | SWEEP options '{' scalar_expr opt_star ',' transforms '}' decl { $$ = new_sweep($2, $4, $5, $7, $9); } | REPEAT '{' scalar_expr ',' transforms '}' decl { $$ = new_repeat($3, $5, $7); } | PUT '{' transform_expr '}' decl { $$ = new_compound($3, $5); } | SPECIAL special_args { $$ = new_special($1, $2, line); } | CURLY_ID { look_up_drawable(sym_tab, &$$, line, $1); } | '{' { sym_tab = new_scope(sym_tab); } defs_and_decls { sym_tab = old_scope(sym_tab); } '}' { if ($3 == NULL) err(line, "no drawables in compound declaration"); $$ = $3; } ; opt_star : EMPTY_ANGLE { $$ = 1; } | /* empty */ { $$ = 0; } ; option_id_list : option_id_list ',' ID { $$ = look_up_and_append_to_opts(sym_tab, &$1, line, $3); } | ID { $$ = NULL; $$ = look_up_and_append_to_opts(sym_tab, &$$, line, $1); } ; options : OPTS_STR { $$ = new_opts($1, line); } | BRACKET_ID { look_up_opts(sym_tab, &$$, line, $1); } | '[' option_id_list ']' { $$ = $2; } | /* empty */ { $$ = NULL; } ; points : rev_points { $$ = sibling_reverse($1); } ; rev_points : rev_points point { $$ = cat_objects(new_point_def($2), $1); } | point { $$ = new_point_def($1); } ; special_args : rev_special_args { $$ = sibling_reverse($1); } ; rev_special_args : rev_special_args special_arg { $$ = cat_objects($2, $1); } | /* empty */ { $$ = NULL; } ; special_arg : scalar { $$ = new_scalar_def($1); } | point { $$ = new_point_def($1); } | vector_literal { $$ = new_vector_def($1); } | OPTS_STR { $$ = new_opts_def($1, line); } | BRACKET_ID { look_up_vector_or_opts(sym_tab, &$$, line, $1); } ; transforms : rev_transforms { $$ = sibling_reverse($1); } ; rev_transforms : rev_transforms ',' transform_expr { $$ = cat_objects(new_transform_def($3), $1); } | transform_expr { $$ = new_transform_def($1); } ; expr : scalar { set_float(&$$, $1); } | point { set_point(&$$, $1); } | vector { set_vector(&$$, $1); } | transform { set_transform(&$$, $1); } | expr '+' expr { do_add(&$$, &$1, &$3, line); } | expr '-' expr { do_sub(&$$, &$1, &$3, line); } | expr '*' expr { do_mul(&$$, &$1, &$3, line); } | expr '/' expr { do_dvd(&$$, &$1, &$3, line); } | expr '.' expr { do_dot(&$$, &$1, &$3, line); } | expr THEN expr { do_thn(&$$, &$1, &$3, line); } | '|' expr '|' { do_mag(&$$, &$2, line); } | '-' expr %prec NEG { do_neg(&$$, &$2, line); } | expr '^' expr { do_pwr(&$$, &$1, &$3, line); } | '(' expr ')' { $$ = $2; } | UNIT expr ')' { do_unit(&$$, &$2, line); } | SQRT expr ')' { do_sqrt(&$$, &$2, line); } | SIN expr ')' { do_sin(&$$, &$2, line); } | COS expr ')' { do_cos(&$$, &$2, line); } | ASIN expr ')' { do_asin(&$$, &$2, line); } | ACOS expr ')' { do_acos(&$$, &$2, line); } | ATAN2 expr ',' expr ')' { do_atan2(&$$, &$2, &$4, line); } | expr TICK { do_index(&$$, &$1, $2, line); } ; scalar : NUM { $$ = $1; } | ID { look_up_scalar(sym_tab, &$$, line, $1); } ; scalar_expr : expr { coerce_to_float(&$1, &$$, line); } ; point : '(' scalar_expr ',' scalar_expr ',' scalar_expr ')' { $$[X] = $2; $$[Y] = $4; $$[Z] = $6; } | '(' scalar_expr ',' scalar_expr ')' { $$[X] = $2; $$[Y] = $4; $$[Z] = 0; } | PAREN_ID { look_up_point(sym_tab, $$, line, $1); } ; point_expr : expr { coerce_to_point(&$1, $$, line); } ; vector : vector_literal { copy_vec_3d($$, $1); } | vector_id { copy_vec_3d($$, $1); } ; vector_literal : '[' scalar_expr ',' scalar_expr ',' scalar_expr ']' { $$[X] = $2; $$[Y] = $4; $$[Z] = $6; } | '[' scalar_expr ',' scalar_expr ']' { $$[X] = $2; $$[Y] = $4; $$[Z] = 0; } ; vector_id : BRACKET_ID { look_up_vector(sym_tab, $$, line, $1); } ; vector_expr : expr { coerce_to_vector(&$1, $$, line); } ; transform : '[' '[' scalar_expr ',' scalar_expr ',' scalar_expr',' scalar_expr ']' '[' scalar_expr ',' scalar_expr ',' scalar_expr',' scalar_expr ']' '[' scalar_expr ',' scalar_expr ',' scalar_expr',' scalar_expr ']' '[' scalar_expr ',' scalar_expr ',' scalar_expr',' scalar_expr ']' ']' { // transform is column major while elements are row major $$[0] = $3; $$[4] = $5; $$[8] = $7; $$[12] = $9; $$[1] = $12; $$[5] = $14; $$[9] = $16; $$[13] = $18; $$[2] = $21; $$[6] = $23; $$[10] = $25; $$[14] = $27; $$[3] = $30; $$[7] = $32; $$[11] = $34; $$[15] = $36; } | ROTATE scalar_expr ')' { set_angle_axis_rot_about_point($$, $2 * (PI/180), 0, 0); } | ROTATE scalar_expr ',' expr ')' { if (EXPR_TYPE_IS(&$4, E_POINT)) set_angle_axis_rot_about_point($$, $2 * (PI/180), $4.val.pt, 0); else if (EXPR_TYPE_IS(&$4, E_VECTOR)) set_angle_axis_rot_about_point($$, $2 * (PI/180), 0, $4.val.vec); else err(line, "expected point or vector rotation parameter, and it's a %s", expr_val_type_str[$4.tag]); } | ROTATE scalar_expr ',' point_expr ',' vector_expr ')' { set_angle_axis_rot_about_point($$, $2 * (PI/180), $4, $6); } | TRANSLATE vector_expr ')' { set_translation($$, $2[X], $2[Y], $2[Z]); } | SCALE expr ')' { if ($2.tag == E_FLOAT) { FLOAT s = $2.val.flt; set_scale($$, s, s, s); } else if ($2.tag == E_VECTOR) { VECTOR v = $2.val.vec; set_scale($$, v[X], v[Y], v[Z]); } else { err(line, "expected scalar or vector scale parameter, and it's a %s", expr_val_type_str[$2.tag]); set_ident($$); } } | PROJECT ')' { set_parallel_projection($$); } | PROJECT scalar_expr ')' { set_perspective_projection($$, $2); } | PERSPECTIVE scalar_expr ')' { set_perspective_transform($$, $2); } | VIEW point_expr ',' expr ',' vector_expr ')' { if ($4.tag == E_VECTOR) set_view_transform($$, $2, $4.val.vec, $6); else if ($4.tag == E_POINT) set_view_transform_with_look_at($$, $2, $4.val.pt, $6); else err(line, "expected point or vector view parameter, and it's a %s", expr_val_type_str[$4.tag]); } | VIEW point_expr ',' expr ')' { if ($4.tag == E_VECTOR) set_view_transform($$, $2, $4.val.vec, NULL); else if ($4.tag == E_POINT) set_view_transform_with_look_at($$, $2, $4.val.pt, NULL); else err(line, "expected point or vector view parameter, and it's a %s", expr_val_type_str[$4.tag]); } | VIEW point_expr ')' { set_view_transform($$, $2, NULL, NULL); } | INVERSE transform_expr ')' { do_inverse($$, $2, line); } | DBL_BRACKET_ID { look_up_transform(sym_tab, $$, line, $1); } ; transform_expr : expr { coerce_to_transform(&$1, $$, line); } ; %% int parse(SYMBOL_TABLE *st) { int ret; objects = NULL; sym_tab = st; ret = yyparse(); // should set sym_tab back to NULL sym_tab = old_scope(sym_tab); if (sym_tab) die(no_line, "zombie symbol table"); return ret; } OBJECT *parsed_objects(void) { return objects; } sketch-0.3.7/symbol.c0100644000076400010400000002241211722043474017244 0ustar freddieresslerAdministrators/* symbol.c Copyright (C) 2005,2006,2007,2008 Eugene K. Ressler, Jr. This file is part of Sketch, a small, simple system for making 3d drawings with LaTeX and the PSTricks or TikZ package. Sketch 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, or (at your option) any later version. Sketch 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 Sketch; see the file COPYING.txt. If not, see http://www.gnu.org/copyleft */ #include #include #include "error.h" #include "geometry.h" #include "symbol.h" // dragon book hash function due to as&u. unsigned hash(char *s) { unsigned h = 0, g; while (*s) { h = (h << 4) + *s++; if ((g = h & 0xf0000000L) != 0) { h ^= (g >> 24); h ^= g; } } return h; } // chain a new scope onto an existing symbol table (or NULL) // and return the new table SYMBOL_TABLE *new_scope(SYMBOL_TABLE * sym_tab) { int i; SYMBOL_TABLE *new_sym_tab = safe_malloc(sizeof *new_sym_tab); new_sym_tab->enclosing = sym_tab; for (i = 0; i < ARRAY_SIZE(new_sym_tab->head); i++) new_sym_tab->head[i] = NULL; return new_sym_tab; } // unchain the inner scope from an existing symbol table // and return the next outer scope or NULL if this was // the outermost scope; as a side effect, warns of unused // symbols // // we are not worrying about freeing storage; the def nodes // are needed for object names anyway SYMBOL_TABLE *old_scope(SYMBOL_TABLE * sym_tab) { int i; SYMBOL *sym, *sym_next; SYMBOL_TABLE *sym_tab_enclosing; // warn of unreferenced symbols for (i = 0; i < ARRAY_SIZE(sym_tab->head); i++) { for (sym = sym_tab->head[i]; sym; sym = sym_next) { sym_next = sym->next; if (sym->n_references == 0 && !sym->def_line.include_p) { if (sym->obj) warn(sym->def_line, "%s '%s' is never referenced", object_type_str[sym->obj->tag], sym->name); else warn(sym->def_line, "'%s' is never referenced", sym->name); } safe_free(sym); } } sym_tab_enclosing = sym_tab->enclosing; safe_free(sym_tab); return sym_tab_enclosing; } static SYMBOL *lookup_in_inner_scope(SYMBOL_TABLE * sym_tab, char *name, unsigned index) { SYMBOL *sym; for (sym = sym_tab->head[index]; sym; sym = sym->next) if (strncmp(name, sym->name, sizeof sym->name - 1) == 0) return sym; return NULL; } SYMBOL *lookup(SYMBOL_TABLE * sym_tab, char *name) { SYMBOL *sym; unsigned index; index = hash(name) % ARRAY_SIZE(sym_tab->head); do { sym = lookup_in_inner_scope(sym_tab, name, index); if (sym) { sym->n_references++; return sym; } sym_tab = sym_tab->enclosing; } while (sym_tab); return NULL; } static OBJECT *lookup_with_type_check(SYMBOL_TABLE * sym_tab, OBJECT_TYPE tag, SRC_LINE line, char *name) { SYMBOL *sym = lookup(sym_tab, name); if (sym) { if (sym->obj) { if (sym->obj->tag == tag) return sym->obj; else err(line, "expected %s to be a %s and instead it's a %s", name, object_type_str[tag], object_type_str[sym->obj->tag]); } else { err(line, "%s has a null definition", name); } } else { err(line, "found undefined identifier %s while looking for %s", name, object_type_str[tag]); } return NULL; } void look_up_tag(SYMBOL_TABLE * sym_tab, int *exists_p, SRC_LINE line, char *name) { SYMBOL *sym; if (name) { sym = lookup(sym_tab, name); *exists_p = sym && sym->obj && sym->obj->tag == O_TAG_DEF; } else { *exists_p = 0; } } int tag_exists_p(SYMBOL_TABLE * sym_tab, char *name) { int exists_p; look_up_tag(sym_tab, &exists_p, no_line, name); if (!exists_p) err(no_line, "undefined tag %s", name); return exists_p; } void look_up_opts(SYMBOL_TABLE * sym_tab, OPTS ** r, SRC_LINE line, char *name) { OPTS_DEF *def = (OPTS_DEF *) lookup_with_type_check(sym_tab, O_OPTS_DEF, line, name); *r = def ? def->opts : NULL; } OPTS *look_up_and_append_to_opts(SYMBOL_TABLE * sym_tab, OPTS ** r, SRC_LINE line, char *name) { OPTS *opts; look_up_opts(sym_tab, &opts, line, name); if (opts) { if (*r == NULL) *r = raw_opts(); cat_opts(*r, opts); } return *r; } void look_up_scalar(SYMBOL_TABLE * sym_tab, FLOAT * r, SRC_LINE line, char *name) { SCALAR_DEF *def = (SCALAR_DEF *) lookup_with_type_check(sym_tab, O_SCALAR_DEF, line, name); *r = def ? def->val : 0; } void look_up_point(SYMBOL_TABLE * sym_tab, POINT_3D r, SRC_LINE line, char *name) { POINT_DEF *def = (POINT_DEF *) lookup_with_type_check(sym_tab, O_POINT_DEF, line, name); if (def) copy_pt_3d(r, def->p); else r[X] = r[Y] = r[Z] = 0; } void look_up_vector(SYMBOL_TABLE * sym_tab, VECTOR_3D r, SRC_LINE line, char *name) { VECTOR_DEF *def = (VECTOR_DEF *) lookup_with_type_check(sym_tab, O_VECTOR_DEF, line, name); if (def) copy_vec_3d(r, def->v); else zero_vec_3d(r); } void look_up_transform(SYMBOL_TABLE * sym_tab, TRANSFORM r, SRC_LINE line, char *name) { TRANSFORM_DEF *def = (TRANSFORM_DEF *) lookup_with_type_check(sym_tab, O_TRANSFORM_DEF, line, name); if (def) copy_transform(r, def->xf); else set_ident(r); } void look_up_drawable(SYMBOL_TABLE * sym_tab, OBJECT ** r, SRC_LINE line, char *name) { SYMBOL *sym = lookup(sym_tab, name); *r = NULL; if (sym) { if (sym->obj) { if (is_drawable(sym->obj)) *r = copy_drawable(sym->obj); // copy needed so concat of lookup result is ok else { err(line, "expected %s to be a drawable object and instead it's a %s", name, object_type_str[sym->obj->tag]); } } else { err(line, "%s contains no drawable objects", name); } } else { err(line, "found undefined identifier %s while looking for a drawable object", name); } } void look_up_vector_or_opts(SYMBOL_TABLE * sym_tab, OBJECT ** r, SRC_LINE line, char *name) { SYMBOL *sym = lookup(sym_tab, name); *r = NULL; if (sym) { if (sym->obj) { switch (sym->obj->tag) { case O_VECTOR_DEF:{ VECTOR_DEF *d = (VECTOR_DEF *) sym->obj; *r = new_vector_def(d->v); } break; case O_OPTS_DEF:{ OPTS_DEF *d = (OPTS_DEF *) sym->obj; *r = new_opts_def_copy(d->opts); } break; default: err(line, "expected %s to be special options or argument", name); break; } } } else { err(line, "found undefined identifier %s while looking for special options or argument", name); } } OBJECT *remove_from_inner_scope(SYMBOL_TABLE * sym_tab, char *name, unsigned index) { OBJECT *r; SYMBOL *sym, *prev_sym; for (prev_sym = NULL, sym = sym_tab->head[index]; sym; prev_sym = sym, sym = sym->next) if (strncmp(name, sym->name, sizeof sym->name - 1) == 0) { if (prev_sym) prev_sym->next = sym->next; else sym_tab->head[index] = sym->next; r = sym->obj; safe_free(sym); return r; } return NULL; } OBJECT *remove_symbol(SYMBOL_TABLE * sym_tab, char *name, SRC_LINE line) { unsigned index; OBJECT *obj; index = hash(name) % ARRAY_SIZE(sym_tab->head); do { obj = remove_from_inner_scope(sym_tab, name, index); if (obj) return obj; sym_tab = sym_tab->enclosing; } while (sym_tab); return NULL; } SYMBOL *new_symbol(SYMBOL_TABLE * sym_tab, char *name, char *tag, OBJECT * obj, SRC_LINE def_line) { int exists_p; unsigned index; SYMBOL *sym; if (!name || !name[0]) return NULL; index = hash(name) % ARRAY_SIZE(sym_tab->head); // def has a tag that is undefined, so ignore it if (tag) { look_up_tag(sym_tab, &exists_p, def_line, tag); if (!exists_p) return NULL; } sym = lookup_in_inner_scope(sym_tab, name, index); // ok to redefine if tag is given and the existing definition // is default and no uses have yet occurred if (sym && !(tag && !sym->tag[0] && sym->n_references == 0)) { // symbol already defined in the inner scope; this is an error if (is_no_line_p(sym->def_line)) err(def_line, "name %s is already defined", name); else err(def_line, "name %s is already defined on line %d", name, sym->def_line.number); return NULL; } if (sym) warn(def_line, "def of '%s' with tag '%s' after default", name, tag); // create a new symbol and fill it in sym = safe_malloc(sizeof *sym); // copy up chars that fit then make sure the last is \0 strncpy(sym->name, name, sizeof sym->name); sym->name[sizeof sym->name - 1] = '\0'; if (strlen(name) > sizeof sym->name - 1) warn(def_line, "long identifier shortened to '%s'", sym->name); if (tag) { strncpy(sym->tag, tag, sizeof sym->tag); sym->tag[sizeof sym->tag - 1] = '\0'; } else sym->tag[0] = '\0'; // other fields sym->def_line = def_line; sym->n_references = 0; sym->obj = obj; // push onto hash table list sym->next = sym_tab->head[index]; sym_tab->head[index] = sym; return sym; } sketch-0.3.7/symbol.h0100644000076400010400000000605611722043474017257 0ustar freddieresslerAdministrators/* symbol.h Copyright (C) 2005,2006,2007,2008 Eugene K. Ressler, Jr. This file is part of Sketch, a small, simple system for making 3d drawings with LaTeX and the PSTricks or TikZ package. Sketch 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, or (at your option) any later version. Sketch 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 Sketch; see the file COPYING.txt. If not, see http://www.gnu.org/copyleft */ #ifndef __SYMBOL_H #define __SYMBOL_H #include "error.h" #include "scene.h" typedef char SYMBOL_NAME[32]; typedef struct symbol_t { struct symbol_t *next; SYMBOL_NAME name, tag; SRC_LINE def_line; int n_references; OBJECT *obj; } SYMBOL; #define SYMBOL_HASH_SIZE 79 typedef struct symbol_table_t { struct symbol_table_t *enclosing; SYMBOL *head[SYMBOL_HASH_SIZE]; } SYMBOL_TABLE; // chain a new scope onto an existing symbol table (or NULL) // and return the new table SYMBOL_TABLE *new_scope(SYMBOL_TABLE * sym_tab); // unchain the inner scope from an existing symbol table // and return the next outer scope or NULL if this was // the outermost scope SYMBOL_TABLE *old_scope(SYMBOL_TABLE * sym_tab); // look up a symbol of the given name in all the scopes of the // provided symbol table SYMBOL *lookup(SYMBOL_TABLE * sym_tab, char *name); // look up a symbol with type checking and value extraction void look_up_tag(SYMBOL_TABLE * sym_tab, int *exists_p, SRC_LINE line, char *name); void look_up_opts(SYMBOL_TABLE * sym_tab, OPTS ** opts, SRC_LINE line, char *name); void look_up_scalar(SYMBOL_TABLE * sym_tab, FLOAT * r, SRC_LINE line, char *name); void look_up_point(SYMBOL_TABLE * sym_tab, POINT_3D r, SRC_LINE line, char *name); void look_up_vector(SYMBOL_TABLE * sym_tab, VECTOR_3D r, SRC_LINE line, char *name); void look_up_transform(SYMBOL_TABLE * sym_tab, TRANSFORM r, SRC_LINE line, char *name); void look_up_drawable(SYMBOL_TABLE * sym_tab, OBJECT ** r, SRC_LINE line, char *name); void look_up_vector_or_opts(SYMBOL_TABLE * sym_tab, OBJECT ** r, SRC_LINE line, char *name); // predicated for tag existence; raises error if not int tag_exists_p(SYMBOL_TABLE * sym_tab, char *name); // insert a given name in the symbol table SYMBOL *new_symbol(SYMBOL_TABLE * sym_tab, char *name, char *tag, OBJECT * obj, SRC_LINE def_line); OBJECT *remove_symbol(SYMBOL_TABLE * sym_tab, char *name, SRC_LINE line); // look up the name, which must be an option // if the lookup succeeds, append the option to options at *r (creating a new raw option // structure in the case where *r is null) // return the options *r OPTS *look_up_and_append_to_opts(SYMBOL_TABLE * sym_tab, OPTS ** r, SRC_LINE line, char *name); #endif sketch-0.3.7/updates.htm0100644000076400010400000002416511722043474017761 0ustar freddieresslerAdministrators Sketch Update Log

    Sketch Update Log

    • Version 0.3 (build 7, Fri Feb 24 21:22:17 2012) Fri Feb 24 21:27:03 2012:
         Added asin() and acos() to built-in functions.
    • Version 0.3 (build 2, Sun Feb 6 13:50:26 2011) Sun Feb 6 13:50:39 2011:
         Fixed a typo in the manual - extra {} in description of special arg options.
         Used a more recent version of indent to clean up macro confusion. Back to K&R style.
    • Version 0.3 (build 1, Sat Jan 29 21:39:53 2011) Sat Jan 29 22:05:01 2011:
         Added new special argument substitution options. Thanks to Don for the suggestion.
         Fixed a bug where duplicate error messages could be emitted for bad special args.
    • Version 0.2 (build 187, Fri Dec 17 23:57:13 2010) Sat Dec 18 12:21:11 2010:
         Fixed bug where over/underlay polygons did not receive fillstyle=solid automatically
         as do polygons with lay=in. All polygon fills are how handled similarly.
    • Version 0.2 (build 183, Mon Aug 9 23:18:38 2010) Mon Aug 9 23:23:11 2010:
         Fixed one more case where [lay=under] and [lay=over] object order was reversed with
         respect to the input: simple blocks.
    • Version 0.2 (build 171, Sat Jul 24 11:55:43 2010) Sat Jul 24 12:19:41 2010:
         Attempt to ensure the order of objects with [lay=under] and [lay=over] is preserved
         from input file to output. Request from Alex. Tested only on simple examples.
    • Version 0.2 (build 170, Sat Jun 12 21:26:01 2010) Sat Jun 12 21:28:24 2010:
         Mac/linux build compatibility release. No changes to sketch code. The only mods
         are to doc make facility. Making the manual is effectively the test suite, so
         this is worthwhile.
         Verified correct build under OS X Snow Leopard. Probably fine under other OS X
         versions. Note: XCode development environment provides compiler. See Apple
         web site for free download.
         Update to makefile so that 'make' and 'make docs' work fine under OS X. 'make docs'
         should also now work fine with linux and Cygwin, too.
         Required to build docs under OS X and linux:
         TeXLive installation - For Mac, this is MacTeX. It's a >1GB download. Yikes!
         Other TeXs are likely to work fine except that some drawings may require more
         than default memory size. This normally means adding command line flags or ini
         file entries to make TeX internal arrays bigger. See local TeX documentation.
         epstool - Sources build with a simple 'make' and the binary can be copied to
         /usr/local/bin
         with sudo.
         Cheers, Mac and linux users of sketch!
    • Version 0.2 (build 169, Sat Jun 12 17:23:12 2010) Sat Jun 12 17:31:20 2010:
         Added double=... option for TikZ.
         Fixed undefined behavior if input directive is an absolute path.
         Added Dave Bremner's contribution to make.pl for building the manual on linux.
    • Version 0.2 (build 161, Tue Sep 8 23:35:27 2009) Tue Sep 8 23:42:48 2009:
         Added information about direct transform literals to the manual. No code changes.
    • Version 0.2 (build 160, Sun Aug 9 16:13:10 2009) Sun Aug 9 16:20:03 2009:
         Disabled warnings about unused symbols in include (input directive) files.
         Suggested by David Bremner. Examples now run without fuss.
    • Version 0.2 (build 159, Sun May 10 00:49:32 2009) Sun May 10 00:50:03 2009:
         Fixed bug in cmdline.c: -V1.15 worked, but -V 1.15 didn't.
    • Version 0.2 (build 158, Sat May 2 19:48:10 2009) Sat May 2 20:13:41 2009:
         Fixed bug where a vector literal form [a,b] (no spaces) was scanned as
         a concatenated option token, causing a syntax error.
         Added an explanation of concatenated options to Getting Started in the manual
         (explanation in the Input Language section remains).
         Updated TikZ -T template to use 'line join' rather than just join (KMF contribution).
         Changed PSTricks version option to include TikZ. Currently only emits remark
         that snakes library warning for 2.0 and later can be safely ignored.
    • Version 0.2 (build 142, Sun Apr 5 12:54:05 2009) Sat Apr 11 21:44:36 2009:
         Fix corrupted distribution binary. No code changes.
    • Version 0.2 (build 142, Sun Apr 5 12:54:05 2009) Sun Apr 5 13:10:54 2009:
         Changed web page and manual to refer to Google group. No code changes.
    • Version 0.2 (build 141, Mon Sep 8 23:10:06 2008) Wed Dec 10 22:28:44 2008:
         No changes to sketch.
         Fixed manual build script because newer tool chain handles EPS bounding boxes
         differently. The utility epstool is now required for the manual build.
    • Version 0.2 (build 141, Mon Sep 8 23:10:06 2008) Mon Sep 8 23:16:10 2008:
         Fixed copying of [lay=over|under], which was requiring O(N^2) space and time
         for N over\under objects. Now we're O(N)! Thanks to Sola Aina for pointing
         out this problem.
    • Version 0.2 (build 136, Sat Aug 9 01:55:09 2008) Tue Aug 19 22:13:29 2008:
         Changed web page to mention new fixes. Added TikZ output code listing.
    • Version 0.2 (build 130, Fri Aug 8 21:30:03 2008) Fri Aug 8 21:41:02 2008:
         Alas, Herbert Voss's linejoin option in PST V1.20 broke Sketch graphical quality!
         So we must replace pstverb{1 setlinejoin} in PSTricks output with psset{linejoin=1}.
         Also added -V option for backward compatibility with older PSTricks versions.
         Updated manual to reflect all of this.
    • Version 0.2 (build 90, Tue Jul 15 00:28:08 2008) Tue Jul 15 00:30:49 2008:
         Changed manual.* to sketch.* to avoid info dir clash. Added @dircategory
         and @direntry for compatibility with install-info. Contributed by Dmitry Dzhus.
    • Version 0.2 (build 89, Mon May 5 12:20:05 2008) Mon May 5 12:49:27 2008:
         Fixed lay=in and added support for dotsize in TikZ. Suggestion of Giovanni Pizzi.
    • Version 0.2 (build 84, Tue Apr 22 20:17:04 2008) Tue Apr 22 20:24:33 2008:
         Cause -v or -Tx option always to ignore all input - files and stdin.
    • Version 0.2 (build 75, Mon Apr 21 22:45:11 2008) Mon Apr 21 22:45:27 2008:
         Switch all computations to double precision for better dynamic range.
    • Version 0.2 (build 65, Mon Apr 21 22:14:51 2008) Mon Apr 21 22:15:38 2008:
         Bug fix: Extent finder had variables uninitialized. If random stuff has
         been missing from your sketch output, this is the build for you! Thanks
         David Bremner.
    • Version 0.2 (build 60, Thu Apr 10 13:13:26 2008) Thu Apr 10 13:21:35 2008:
         Added pstricks-add to -T templates for transparency support.
    • Version 0.2 (build 59, Sun Mar 16 13:30:57 2008) Sun Mar 16 13:43:01 2008:
         Added "transpalpha" to split options for PSTricks at suggestion of maxi.
         Manual updated, but a nice transparent example drawing ought to be added.
    • Version 0.2 (build 57, Thu Mar 6 22:39:13 2008) Sun Mar 9 22:11:46 2008:
         Added ConTeXt support as per suggestion of Jesse Alma and updated web page.
    • Version 0.2 (build 27, Tue Sep 25 00:23:31 2007) Tue Sep 25 00:23:43 2007:
         Added concatentate multiple option references as per suggestion of kmf.
    • Version 0.2 (build 18, Sun Sep 23 00:30:20 2007) Sun Sep 23 00:34:03 2007:
         Changed copyright to GPL.
         Distribution builds now have "d" version suffix.
    • Version 0.2 (build 16, Sun Mar 4 14:56:52 2007) Sun Mar 4 23:06:08 2007:
         Fixed makefile to work in distribution (rather than development) environment.
    • Version 0.2 (build 9, Thu Feb 8 22:06:23 2007) Sun Feb 11 14:50:09 2007:
         Added "fill style=..." and "line style=..." pseudo options for TikZ (idea of KMF).
         Fixed seg fault on certain syntax errors within option strings.
    • Version 0.2 (build 8, Tue Feb 6 19:25:59 2007) Tue Feb 6 19:26:07 2007:
         Fixed option processing bug. Thanks to Kjell Magne Fauske!
    • Version 0.2 (build 7, Mon Feb 5 23:27:30 2007) Tue Feb 6 19:24:34 2007:
         Added TikZ support.
         Added -v (version info) and -h (option help) command line options.
         Updated documents.
    • Version 0.1 (build 310, Fri Jun 24 14:05:28 2005) Wed Jan 31 22:06:48 2007:
         Test build in new environment.
    • Version 0.1 (build 282, Tue May 17 12:16:05 2005) Tue May 17 12:28:50 2005:
         Added -t and -T options (document template); adjusted manual
         Made exponentiation work on transforms for all integers; adjusted manual
         Fixed empty option bracket output on some PSTricks commands
    • Version 0.1 (build 254, Thu May 12 04:16:43 2005) Thu May 12 04:17:15 2005:
         Rebuild to incorporate this update log.
    • Version 0.1 (build 253, Thu May 12 01:28:29 2005) Thu May 12 04:06:22 2005:
         Fixed lay option problems.
         Fixed picturebox bounding box computation.
         Added the technical drawing section to the manual.
    sketch-0.3.7/version.dat0100644000076400010400000000007311722043474017751 0ustar freddieresslerAdministratorsminor = 3 major = 0 build = 7 time = 1330136537 dist=1 sketch-0.3.7/version.h0100644000076400010400000000063411722043474017433 0ustar freddieresslerAdministrators// Produced by makever.pl. Don't edit. #define VER_MAJOR 0 #define VER_MINOR 3 #define VER_BUILD 7 #define VER_BUILD_TIME 1330136537 #ifndef STRINGIFY #define ___S(X) #X #define STRINGIFY(X) ___S(X) #endif #define VER_BUILD_TIME_STRING STRINGIFY(Fri Feb 24 21:22:17 2012) #define VER_STRING STRINGIFY(VER_MAJOR) "." STRINGIFY(VER_MINOR) " (build " STRINGIFY(VER_BUILD) ", " VER_BUILD_TIME_STRING ")" sketch-0.3.7/y.tab.c0100644000076400010400000023567011722043474016770 0ustar freddieresslerAdministrators/* A Bison parser, made by GNU Bison 2.1. */ /* Skeleton parser for Yacc-like parsing with Bison, Copyright (C) 1984, 1989, 1990, 2000, 2001, 2002, 2003, 2004, 2005 Free Software Foundation, Inc. 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, 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. */ /* As a special exception, when this file is copied by Bison into a Bison output file, you may use that output file without restriction. This special exception was added by the Free Software Foundation in version 1.24 of Bison. */ /* Written by Richard Stallman by simplifying the original so called ``semantic'' parser. */ /* All symbols defined below should begin with yy or YY, to avoid infringing on user name space. This should be done even for local variables, as they might otherwise be expanded by user macros. There are some unavoidable exceptions within include files to define necessary library symbols; they are noted "INFRINGES ON USER NAME SPACE" below. */ /* Identify Bison output. */ #define YYBISON 1 /* Bison version. */ #define YYBISON_VERSION "2.1" /* Skeleton name. */ #define YYSKELETON_NAME "yacc.c" /* Pure parsers. */ #define YYPURE 0 /* Using locations. */ #define YYLSP_NEEDED 0 /* Tokens. */ #ifndef YYTOKENTYPE # define YYTOKENTYPE /* Put the tokens into the symbol table, so that GDB and other debuggers know about them. */ enum yytokentype { ID = 258, PAREN_ID = 259, BRACKET_ID = 260, DBL_BRACKET_ID = 261, CURLY_ID = 262, ANGLE_ID = 263, NUM = 264, OPTS_STR = 265, SPECIAL = 266, TICK = 267, THEN = 268, DEF = 269, EMPTY_ANGLE = 270, DOTS = 271, LINE = 272, CURVE = 273, POLYGON = 274, REPEAT = 275, SWEEP = 276, PUT = 277, TRANSLATE = 278, ROTATE = 279, SCALE = 280, PROJECT = 281, PERSPECTIVE = 282, VIEW = 283, SQRT = 284, SIN = 285, ASIN = 286, COS = 287, ACOS = 288, ATAN2 = 289, UNIT = 290, INVERSE = 291, GLOBAL = 292, SET = 293, PICTUREBOX = 294, FRAME = 295, CAMERA = 296, LANGUAGE = 297, PSTRICKS = 298, TIKZ = 299, LaTeX = 300, ConTeXt = 301, NEG = 302 }; #endif /* Tokens. */ #define ID 258 #define PAREN_ID 259 #define BRACKET_ID 260 #define DBL_BRACKET_ID 261 #define CURLY_ID 262 #define ANGLE_ID 263 #define NUM 264 #define OPTS_STR 265 #define SPECIAL 266 #define TICK 267 #define THEN 268 #define DEF 269 #define EMPTY_ANGLE 270 #define DOTS 271 #define LINE 272 #define CURVE 273 #define POLYGON 274 #define REPEAT 275 #define SWEEP 276 #define PUT 277 #define TRANSLATE 278 #define ROTATE 279 #define SCALE 280 #define PROJECT 281 #define PERSPECTIVE 282 #define VIEW 283 #define SQRT 284 #define SIN 285 #define ASIN 286 #define COS 287 #define ACOS 288 #define ATAN2 289 #define UNIT 290 #define INVERSE 291 #define GLOBAL 292 #define SET 293 #define PICTUREBOX 294 #define FRAME 295 #define CAMERA 296 #define LANGUAGE 297 #define PSTRICKS 298 #define TIKZ 299 #define LaTeX 300 #define ConTeXt 301 #define NEG 302 /* Copy the first part of user declarations. */ #line 21 "sketch.y" #include #include #if defined(_WIN32) # include # if !defined(alloca) # define alloca _alloca # endif # ifdef _MSC_VER // turn of warning about unused goto label in bison skeleton # pragma warning(disable:4102) # endif # define YYSTACK_USE_ALLOCA 1 #endif #include "parse.h" #include "expr.h" #include "global.h" int yylex(void); void yyerror (char *s) /* Called by yyparse on error */ { extern SRC_LINE line; err(line, "%s", s); } static SYMBOL_TABLE *sym_tab; // exported parse tree and global environment static OBJECT *objects; /* Enabling traces. */ #ifndef YYDEBUG # define YYDEBUG 1 #endif /* Enabling verbose error messages. */ #ifdef YYERROR_VERBOSE # undef YYERROR_VERBOSE # define YYERROR_VERBOSE 1 #else # define YYERROR_VERBOSE 0 #endif /* Enabling the token table. */ #ifndef YYTOKEN_TABLE # define YYTOKEN_TABLE 0 #endif #if ! defined (YYSTYPE) && ! defined (YYSTYPE_IS_DECLARED) #line 57 "sketch.y" typedef union YYSTYPE { char *str; FLOAT flt; POINT_3D pt; VECTOR_3D vec; TRANSFORM xf; EXPR_VAL exv; SYMBOL_NAME name; OBJECT *obj; OPTS *opts; int bool; int index; } YYSTYPE; /* Line 196 of yacc.c. */ #line 229 "y.tab.c" # define yystype YYSTYPE /* obsolescent; will be withdrawn */ # define YYSTYPE_IS_DECLARED 1 # define YYSTYPE_IS_TRIVIAL 1 #endif /* Copy the second part of user declarations. */ /* Line 219 of yacc.c. */ #line 241 "y.tab.c" #if ! defined (YYSIZE_T) && defined (__SIZE_TYPE__) # define YYSIZE_T __SIZE_TYPE__ #endif #if ! defined (YYSIZE_T) && defined (size_t) # define YYSIZE_T size_t #endif #if ! defined (YYSIZE_T) && (defined (__STDC__) || defined (__cplusplus)) # include /* INFRINGES ON USER NAME SPACE */ # define YYSIZE_T size_t #endif #if ! defined (YYSIZE_T) # define YYSIZE_T unsigned int #endif #ifndef YY_ # if YYENABLE_NLS # if ENABLE_NLS # include /* INFRINGES ON USER NAME SPACE */ # define YY_(msgid) dgettext ("bison-runtime", msgid) # endif # endif # ifndef YY_ # define YY_(msgid) msgid # endif #endif #if ! defined (yyoverflow) || YYERROR_VERBOSE /* The parser invokes alloca or malloc; define the necessary symbols. */ # ifdef YYSTACK_USE_ALLOCA # if YYSTACK_USE_ALLOCA # ifdef __GNUC__ # define YYSTACK_ALLOC __builtin_alloca # else # define YYSTACK_ALLOC alloca # if defined (__STDC__) || defined (__cplusplus) # include /* INFRINGES ON USER NAME SPACE */ # define YYINCLUDED_STDLIB_H # endif # endif # endif # endif # ifdef YYSTACK_ALLOC /* Pacify GCC's `empty if-body' warning. */ # define YYSTACK_FREE(Ptr) do { /* empty */; } while (0) # ifndef YYSTACK_ALLOC_MAXIMUM /* The OS might guarantee only one guard page at the bottom of the stack, and a page size can be as small as 4096 bytes. So we cannot safely invoke alloca (N) if N exceeds 4096. Use a slightly smaller number to allow for a few compiler-allocated temporary stack slots. */ # define YYSTACK_ALLOC_MAXIMUM 4032 /* reasonable circa 2005 */ # endif # else # define YYSTACK_ALLOC YYMALLOC # define YYSTACK_FREE YYFREE # ifndef YYSTACK_ALLOC_MAXIMUM # define YYSTACK_ALLOC_MAXIMUM ((YYSIZE_T) -1) # endif # ifdef __cplusplus extern "C" { # endif # ifndef YYMALLOC # define YYMALLOC malloc # if (! defined (malloc) && ! defined (YYINCLUDED_STDLIB_H) \ && (defined (__STDC__) || defined (__cplusplus))) void *malloc (YYSIZE_T); /* INFRINGES ON USER NAME SPACE */ # endif # endif # ifndef YYFREE # define YYFREE free # if (! defined (free) && ! defined (YYINCLUDED_STDLIB_H) \ && (defined (__STDC__) || defined (__cplusplus))) void free (void *); /* INFRINGES ON USER NAME SPACE */ # endif # endif # ifdef __cplusplus } # endif # endif #endif /* ! defined (yyoverflow) || YYERROR_VERBOSE */ #if (! defined (yyoverflow) \ && (! defined (__cplusplus) \ || (defined (YYSTYPE_IS_TRIVIAL) && YYSTYPE_IS_TRIVIAL))) /* A type that is properly aligned for any stack member. */ union yyalloc { short int yyss; YYSTYPE yyvs; }; /* The size of the maximum gap between one aligned stack and the next. */ # define YYSTACK_GAP_MAXIMUM (sizeof (union yyalloc) - 1) /* The size of an array large to enough to hold all stacks, each with N elements. */ # define YYSTACK_BYTES(N) \ ((N) * (sizeof (short int) + sizeof (YYSTYPE)) \ + YYSTACK_GAP_MAXIMUM) /* Copy COUNT objects from FROM to TO. The source and destination do not overlap. */ # ifndef YYCOPY # if defined (__GNUC__) && 1 < __GNUC__ # define YYCOPY(To, From, Count) \ __builtin_memcpy (To, From, (Count) * sizeof (*(From))) # else # define YYCOPY(To, From, Count) \ do \ { \ YYSIZE_T yyi; \ for (yyi = 0; yyi < (Count); yyi++) \ (To)[yyi] = (From)[yyi]; \ } \ while (0) # endif # endif /* Relocate STACK from its old location to the new one. The local variables YYSIZE and YYSTACKSIZE give the old and new number of elements in the stack, and YYPTR gives the new location of the stack. Advance YYPTR to a properly aligned location for the next stack. */ # define YYSTACK_RELOCATE(Stack) \ do \ { \ YYSIZE_T yynewbytes; \ YYCOPY (&yyptr->Stack, Stack, yysize); \ Stack = &yyptr->Stack; \ yynewbytes = yystacksize * sizeof (*Stack) + YYSTACK_GAP_MAXIMUM; \ yyptr += yynewbytes / sizeof (*yyptr); \ } \ while (0) #endif #if defined (__STDC__) || defined (__cplusplus) typedef signed char yysigned_char; #else typedef short int yysigned_char; #endif /* YYFINAL -- State number of the termination state. */ #define YYFINAL 33 /* YYLAST -- Last index in YYTABLE. */ #define YYLAST 648 /* YYNTOKENS -- Number of terminals. */ #define YYNTOKENS 62 /* YYNNTS -- Number of nonterminals. */ #define YYNNTS 40 /* YYNRULES -- Number of rules. */ #define YYNRULES 121 /* YYNRULES -- Number of states. */ #define YYNSTATES 269 /* YYTRANSLATE(YYLEX) -- Bison symbol number corresponding to YYLEX. */ #define YYUNDEFTOK 2 #define YYMAXUTOK 302 #define YYTRANSLATE(YYX) \ ((unsigned int) (YYX) <= YYMAXUTOK ? yytranslate[YYX] : YYUNDEFTOK) /* YYTRANSLATE[YYLEX] -- Bison symbol number corresponding to YYLEX. */ static const unsigned char yytranslate[] = { 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 60, 61, 49, 48, 58, 47, 51, 50, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 56, 2, 57, 53, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 54, 59, 55, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 52 }; #if YYDEBUG /* YYPRHS[YYN] -- Index of the first RHS symbol of rule number YYN in YYRHS. */ static const unsigned short int yyprhs[] = { 0, 0, 3, 6, 11, 12, 15, 17, 20, 25, 30, 33, 35, 38, 41, 43, 46, 48, 50, 53, 54, 56, 58, 62, 63, 65, 68, 70, 72, 74, 78, 82, 86, 91, 95, 97, 99, 101, 105, 109, 113, 117, 127, 137, 145, 151, 154, 156, 157, 158, 164, 166, 167, 171, 173, 175, 177, 181, 182, 184, 187, 189, 191, 194, 195, 197, 199, 201, 203, 205, 207, 211, 213, 215, 217, 219, 221, 225, 229, 233, 237, 241, 245, 249, 252, 256, 260, 264, 268, 272, 276, 280, 284, 290, 293, 295, 297, 299, 307, 313, 315, 317, 319, 321, 329, 335, 337, 339, 378, 382, 388, 396, 400, 404, 407, 411, 415, 423, 429, 433, 437, 439 }; /* YYRHS -- A `-1'-separated list of the rules' RHS. */ static const yysigned_char yyrhs[] = { 63, 0, -1, 72, 64, -1, 37, 54, 65, 55, -1, -1, 65, 66, -1, 66, -1, 38, 10, -1, 39, 56, 93, 57, -1, 39, 71, 94, 94, -1, 41, 101, -1, 40, -1, 40, 10, -1, 42, 67, -1, 75, -1, 68, 69, -1, 43, -1, 44, -1, 58, 70, -1, -1, 45, -1, 46, -1, 56, 93, 57, -1, -1, 73, -1, 73, 74, -1, 74, -1, 75, -1, 78, -1, 14, 3, 77, -1, 76, 15, 77, -1, 14, 3, 15, -1, 14, 3, 8, 77, -1, 76, 8, 77, -1, 91, -1, 78, -1, 10, -1, 16, 83, 84, -1, 17, 83, 84, -1, 18, 83, 84, -1, 19, 83, 84, -1, 21, 83, 54, 93, 81, 58, 89, 55, 94, -1, 21, 83, 54, 93, 81, 58, 89, 55, 78, -1, 20, 54, 93, 58, 89, 55, 78, -1, 22, 54, 101, 55, 78, -1, 11, 86, -1, 7, -1, -1, -1, 54, 79, 72, 80, 55, -1, 15, -1, -1, 82, 58, 3, -1, 3, -1, 10, -1, 5, -1, 56, 82, 57, -1, -1, 85, -1, 85, 94, -1, 94, -1, 87, -1, 87, 88, -1, -1, 92, -1, 94, -1, 97, -1, 10, -1, 5, -1, 90, -1, 90, 58, 101, -1, 101, -1, 92, -1, 94, -1, 96, -1, 100, -1, 91, 48, 91, -1, 91, 47, 91, -1, 91, 49, 91, -1, 91, 50, 91, -1, 91, 51, 91, -1, 91, 13, 91, -1, 59, 91, 59, -1, 47, 91, -1, 91, 53, 91, -1, 60, 91, 61, -1, 35, 91, 61, -1, 29, 91, 61, -1, 30, 91, 61, -1, 32, 91, 61, -1, 31, 91, 61, -1, 33, 91, 61, -1, 34, 91, 58, 91, 61, -1, 91, 12, -1, 9, -1, 3, -1, 91, -1, 60, 93, 58, 93, 58, 93, 61, -1, 60, 93, 58, 93, 61, -1, 4, -1, 91, -1, 97, -1, 98, -1, 56, 93, 58, 93, 58, 93, 57, -1, 56, 93, 58, 93, 57, -1, 5, -1, 91, -1, 56, 56, 93, 58, 93, 58, 93, 58, 93, 57, 56, 93, 58, 93, 58, 93, 58, 93, 57, 56, 93, 58, 93, 58, 93, 58, 93, 57, 56, 93, 58, 93, 58, 93, 58, 93, 57, 57, -1, 24, 93, 61, -1, 24, 93, 58, 91, 61, -1, 24, 93, 58, 95, 58, 99, 61, -1, 23, 99, 61, -1, 25, 91, 61, -1, 26, 61, -1, 26, 93, 61, -1, 27, 93, 61, -1, 28, 95, 58, 91, 58, 99, 61, -1, 28, 95, 58, 91, 61, -1, 28, 95, 61, -1, 36, 101, 61, -1, 6, -1, 91, -1 }; /* YYRLINE[YYN] -- source line where rule number YYN was defined. */ static const unsigned short int yyrline[] = { 0, 105, 105, 108, 109, 112, 113, 116, 120, 124, 129, 133, 137, 141, 145, 148, 151, 152, 155, 156, 159, 160, 163, 164, 167, 170, 171, 174, 175, 179, 180, 181, 184, 185, 188, 189, 190, 193, 194, 195, 196, 197, 201, 205, 209, 210, 211, 212, 213, 212, 222, 223, 226, 230, 237, 238, 239, 240, 243, 246, 247, 250, 253, 254, 257, 258, 259, 260, 261, 264, 267, 268, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 295, 296, 299, 302, 306, 310, 313, 316, 317, 320, 324, 330, 333, 336, 348, 352, 362, 366, 370, 387, 388, 389, 390, 400, 410, 415, 416, 419 }; #endif #if YYDEBUG || YYERROR_VERBOSE || YYTOKEN_TABLE /* YYTNAME[SYMBOL-NUM] -- String name of the symbol SYMBOL-NUM. First, the terminals, then, starting at YYNTOKENS, nonterminals. */ static const char *const yytname[] = { "$end", "error", "$undefined", "ID", "PAREN_ID", "BRACKET_ID", "DBL_BRACKET_ID", "CURLY_ID", "ANGLE_ID", "NUM", "OPTS_STR", "SPECIAL", "TICK", "THEN", "DEF", "EMPTY_ANGLE", "DOTS", "LINE", "CURVE", "POLYGON", "REPEAT", "SWEEP", "PUT", "TRANSLATE", "ROTATE", "SCALE", "PROJECT", "PERSPECTIVE", "VIEW", "SQRT", "SIN", "ASIN", "COS", "ACOS", "ATAN2", "UNIT", "INVERSE", "GLOBAL", "SET", "PICTUREBOX", "FRAME", "CAMERA", "LANGUAGE", "PSTRICKS", "TIKZ", "LaTeX", "ConTeXt", "'-'", "'+'", "'*'", "'/'", "'.'", "NEG", "'^'", "'{'", "'}'", "'['", "']'", "','", "'|'", "'('", "')'", "$accept", "input", "global_decl_block", "global_decls", "global_decl", "output_language", "graphics_language", "comma_macro_package", "macro_package", "opt_baseline", "defs_and_decls", "rev_defs_and_decls", "def_or_decl", "def", "tagged_defs", "defable", "decl", "@1", "@2", "opt_star", "option_id_list", "options", "points", "rev_points", "special_args", "rev_special_args", "special_arg", "transforms", "rev_transforms", "expr", "scalar", "scalar_expr", "point", "point_expr", "vector", "vector_literal", "vector_id", "vector_expr", "transform", "transform_expr", 0 }; #endif # ifdef YYPRINT /* YYTOKNUM[YYLEX-NUM] -- Internal token number corresponding to token YYLEX-NUM. */ static const unsigned short int yytoknum[] = { 0, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 45, 43, 42, 47, 46, 302, 94, 123, 125, 91, 93, 44, 124, 40, 41 }; # endif /* YYR1[YYN] -- Symbol number of symbol that rule YYN derives. */ static const unsigned char yyr1[] = { 0, 62, 63, 64, 64, 65, 65, 66, 66, 66, 66, 66, 66, 66, 66, 67, 68, 68, 69, 69, 70, 70, 71, 71, 72, 73, 73, 74, 74, 75, 75, 75, 76, 76, 77, 77, 77, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 79, 80, 78, 81, 81, 82, 82, 83, 83, 83, 83, 84, 85, 85, 86, 87, 87, 88, 88, 88, 88, 88, 89, 90, 90, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 92, 92, 93, 94, 94, 94, 95, 96, 96, 97, 97, 98, 99, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 101 }; /* YYR2[YYN] -- Number of symbols composing right hand side of rule YYN. */ static const unsigned char yyr2[] = { 0, 2, 2, 4, 0, 2, 1, 2, 4, 4, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 3, 0, 1, 2, 1, 1, 1, 3, 3, 3, 4, 3, 1, 1, 1, 3, 3, 3, 3, 9, 9, 7, 5, 2, 1, 0, 0, 5, 1, 0, 3, 1, 1, 1, 3, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 5, 2, 1, 1, 1, 7, 5, 1, 1, 1, 1, 7, 5, 1, 1, 38, 3, 5, 7, 3, 3, 2, 3, 3, 7, 5, 3, 3, 1, 1 }; /* YYDEFACT[STATE-NAME] -- Default rule to reduce with in state STATE-NUM when YYTABLE doesn't specify something else to do. Zero means the default is an error. */ static const unsigned char yydefact[] = { 0, 46, 63, 0, 57, 57, 57, 57, 0, 57, 0, 47, 0, 4, 24, 26, 27, 0, 28, 45, 61, 0, 55, 54, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 25, 0, 0, 95, 99, 68, 94, 67, 0, 0, 62, 64, 65, 66, 105, 120, 0, 36, 31, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 29, 35, 34, 72, 73, 74, 101, 102, 75, 53, 0, 37, 58, 60, 38, 39, 40, 96, 0, 0, 121, 0, 48, 0, 33, 30, 0, 0, 32, 106, 0, 0, 0, 113, 0, 0, 100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 83, 0, 0, 96, 93, 0, 0, 0, 0, 0, 0, 0, 56, 0, 59, 0, 51, 0, 0, 0, 23, 11, 0, 0, 0, 6, 14, 0, 0, 111, 0, 108, 112, 114, 115, 0, 118, 87, 88, 90, 89, 91, 0, 86, 119, 0, 82, 85, 81, 77, 76, 78, 79, 80, 84, 52, 0, 69, 71, 50, 0, 44, 49, 7, 0, 0, 12, 10, 16, 17, 13, 19, 3, 5, 0, 0, 100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 104, 0, 0, 98, 109, 0, 0, 117, 92, 0, 43, 70, 0, 8, 9, 20, 21, 18, 0, 0, 0, 0, 0, 0, 103, 97, 110, 116, 0, 42, 41, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 107 }; /* YYDEFGOTO[NTERM-NUM]. */ static const short int yydefgoto[] = { -1, 12, 35, 143, 144, 189, 190, 206, 224, 184, 13, 14, 15, 16, 17, 73, 74, 32, 137, 179, 83, 25, 84, 85, 19, 20, 46, 175, 176, 90, 76, 99, 77, 110, 78, 79, 80, 103, 81, 177 }; /* YYPACT[STATE-NUM] -- Index in YYTABLE of the portion describing STATE-NUM. */ #define YYPACT_NINF -101 static const short int yypact[] = { 78, -101, -101, 21, -3, -3, -3, -3, -35, -3, -28, -101, 31, 11, 78, -101, -101, 5, -101, -101, 55, 291, -101, -101, 53, 2, 2, 2, 2, 116, 29, 116, 78, -101, 36, -101, -101, 367, 367, -101, -101, -101, -101, -101, 116, 116, -101, -101, -101, -101, -101, -101, 367, -101, -101, 116, 116, 116, 46, 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 407, 116, 116, -101, -101, 595, -101, -101, -101, -101, -101, -101, -101, -23, -101, 2, -101, -101, -101, -101, 595, 43, 116, 595, 61, -101, -2, -101, -101, 52, 72, -101, 595, 70, -16, 447, -101, 73, 74, 595, -14, 456, 463, 479, 506, 521, 111, 530, 75, -7, 407, 316, 537, -101, 116, 116, 116, 116, 116, 116, 116, -101, 130, -101, 116, 123, 232, 98, 145, 100, 155, 116, 23, 143, -101, -101, 116, 116, -101, 116, -101, -101, -101, -101, 116, -101, -101, -101, -101, -101, -101, 116, -101, -101, 108, -101, -101, 595, 293, 293, -7, -7, -7, -7, -101, 113, 115, -101, -101, 119, -101, -101, -101, 116, 2, -101, -101, -101, -101, -101, 120, -101, -101, 51, -4, 552, 128, 432, 580, 116, 232, 116, 116, 114, 2, 58, -101, -101, 116, 116, -101, -101, 116, 116, -101, -101, 69, -101, -101, 133, 24, -101, -101, -101, -101, 132, 131, 134, 135, 116, 186, -101, -101, -101, -101, 71, -101, -101, 116, 137, 154, 116, 141, 116, 153, 116, 157, 116, 160, 163, 116, 162, 116, 164, 116, 166, 116, 169, 173, 116, 175, 116, 177, 116, 179, 116, 184, 185, -101 }; /* YYPGOTO[NTERM-NUM]. */ static const short int yypgoto[] = { -101, -101, -101, -101, 48, -101, -101, -101, -101, -101, 215, -101, 241, -82, -101, -20, 1, -101, -101, -101, -101, 16, 60, -101, -101, -101, -101, 54, -101, 207, 237, -29, -17, 109, -101, 240, -101, -100, -101, -27 }; /* YYTABLE[YYPACT[STATE-NUM]]. What to do in state STATE-NUM. If positive, shift that token. If negative, reduce the rule which number is the opposite. If zero, do what YYDEFACT says. If YYTABLE_NINF, syntax error. */ #define YYTABLE_NINF -23 static const short int yytable[] = { 91, 18, 22, 48, 94, 123, 40, 23, 86, 86, 86, 86, 3, 37, 145, 18, 100, 97, 98, 29, 38, 26, 27, 28, 21, 30, 31, 104, -22, 107, 108, 33, 101, 18, 131, 132, 138, 139, 140, 141, 142, 118, 149, 100, 154, 150, 130, 155, 34, 39, 40, 50, 51, 24, 209, 42, 82, 210, 39, 40, 41, 145, 45, 135, 42, 43, 187, 188, 133, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 92, -22, 1, 87, 88, 89, 2, 96, 164, 3, 69, 4, 5, 6, 7, 8, 9, 10, 134, 70, 222, 223, 71, 72, 106, 207, 208, 146, 44, 227, 228, 186, 45, 136, 193, 194, 39, 40, 50, 51, 123, 124, 42, 207, 229, 231, 238, 147, 148, 11, 174, 152, 153, 163, 180, 178, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 181, 203, 182, 183, 3, 125, 126, 127, 128, 129, 69, 130, 185, 199, 204, 200, 161, 216, 220, 70, 201, 218, 71, 72, 202, 205, 225, 226, 138, 139, 140, 141, 142, 212, 221, 230, 231, 40, 192, 232, 1, 240, 233, 234, 2, 191, 243, 235, 217, 4, 5, 6, 7, 8, 9, 10, 239, 241, 245, 242, 237, 244, 247, 246, 249, 248, 250, 252, 251, 254, 253, 256, 255, 258, 257, 75, 259, 260, 236, 262, 261, 264, 263, 266, 265, 93, 1, 11, 267, 268, 2, 75, 75, 45, 95, 4, 5, 6, 7, 8, 9, 10, 36, 219, 47, 196, 75, 49, 0, 102, 0, 105, 0, 0, 109, 111, 112, 113, 114, 115, 116, 117, 93, 119, 0, 121, 122, 0, 0, 0, 0, 0, 0, 11, 0, 0, 0, 0, 0, 0, 0, 39, 40, 50, 51, 1, 52, 42, 53, 2, 0, 0, 123, 54, 4, 5, 6, 7, 8, 9, 10, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 123, 124, 0, 167, 168, 169, 170, 171, 172, 173, 69, 0, 0, 93, 127, 128, 129, 11, 130, 70, 93, 0, 71, 72, 0, 0, 0, 0, 195, 0, 0, 0, 0, 197, 0, 125, 126, 127, 128, 129, 198, 130, 39, 40, 50, 51, 1, 165, 42, 53, 2, 0, 0, 0, 0, 4, 5, 6, 7, 8, 9, 10, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 0, 0, 0, 0, 93, 93, 39, 40, 50, 51, 69, 0, 42, 0, 0, 102, 102, 11, 0, 70, 0, 0, 71, 72, 0, 0, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 123, 124, 0, 0, 0, 0, 0, 0, 0, 0, 69, 0, 0, 0, 0, 123, 124, 0, 0, 120, 0, 0, 71, 72, 123, 124, 0, 0, 0, 0, 0, 123, 124, 0, 0, 125, 126, 127, 128, 129, 0, 130, 0, 0, 0, 0, 213, 123, 124, 214, 125, 126, 127, 128, 129, 0, 130, 0, 0, 125, 126, 127, 128, 129, 151, 130, 125, 126, 127, 128, 129, 0, 130, 156, 123, 124, 0, 0, 0, 0, 157, 0, 125, 126, 127, 128, 129, 0, 130, 123, 124, 0, 0, 0, 0, 0, 158, 0, 123, 124, 0, 0, 0, 0, 0, 123, 124, 0, 0, 125, 126, 127, 128, 129, 0, 130, 0, 0, 0, 0, 123, 124, 0, 159, 125, 126, 127, 128, 129, 0, 130, 0, 0, 125, 126, 127, 128, 129, 160, 130, 125, 126, 127, 128, 129, 0, 130, 162, 123, 124, 0, 0, 0, 0, 166, 125, 126, 127, 128, 129, 0, 130, 0, 123, 124, 0, 0, 0, 0, 211, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 125, 126, 127, 128, 129, 0, 130, 0, 0, 0, 0, 0, 0, 0, 215, 125, 126, 127, 128, 129, 0, 130 }; static const short int yycheck[] = { 29, 0, 5, 20, 31, 12, 4, 10, 25, 26, 27, 28, 14, 8, 96, 14, 45, 37, 38, 54, 15, 5, 6, 7, 3, 9, 54, 56, 4, 58, 59, 0, 52, 32, 57, 58, 38, 39, 40, 41, 42, 68, 58, 72, 58, 61, 53, 61, 37, 3, 4, 5, 6, 56, 58, 9, 3, 61, 3, 4, 5, 143, 60, 92, 9, 10, 43, 44, 85, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 54, 60, 7, 26, 27, 28, 11, 54, 120, 14, 47, 16, 17, 18, 19, 20, 21, 22, 58, 56, 45, 46, 59, 60, 61, 57, 58, 58, 56, 212, 213, 141, 60, 55, 146, 147, 3, 4, 5, 6, 12, 13, 9, 57, 58, 57, 58, 58, 61, 54, 3, 61, 61, 61, 136, 15, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 55, 183, 10, 56, 14, 47, 48, 49, 50, 51, 47, 53, 10, 58, 184, 55, 58, 199, 57, 56, 58, 201, 59, 60, 58, 58, 208, 209, 38, 39, 40, 41, 42, 58, 204, 55, 57, 4, 143, 61, 7, 57, 61, 61, 11, 55, 58, 229, 200, 16, 17, 18, 19, 20, 21, 22, 238, 56, 58, 241, 230, 243, 58, 245, 57, 247, 56, 58, 250, 58, 252, 58, 254, 57, 256, 21, 56, 259, 230, 261, 58, 263, 58, 265, 58, 31, 7, 54, 57, 57, 11, 37, 38, 60, 32, 16, 17, 18, 19, 20, 21, 22, 14, 202, 20, 149, 52, 20, -1, 55, -1, 57, -1, -1, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, -1, 71, 72, -1, -1, -1, -1, -1, -1, 54, -1, -1, -1, -1, -1, -1, -1, 3, 4, 5, 6, 7, 8, 9, 10, 11, -1, -1, 12, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 12, 13, -1, 124, 125, 126, 127, 128, 129, 130, 47, -1, -1, 134, 49, 50, 51, 54, 53, 56, 141, -1, 59, 60, -1, -1, -1, -1, 149, -1, -1, -1, -1, 154, -1, 47, 48, 49, 50, 51, 161, 53, 3, 4, 5, 6, 7, 59, 9, 10, 11, -1, -1, -1, -1, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, -1, -1, -1, -1, 201, 202, 3, 4, 5, 6, 47, -1, 9, -1, -1, 212, 213, 54, -1, 56, -1, -1, 59, 60, -1, -1, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 12, 13, -1, -1, -1, -1, -1, -1, -1, -1, 47, -1, -1, -1, -1, 12, 13, -1, -1, 56, -1, -1, 59, 60, 12, 13, -1, -1, -1, -1, -1, 12, 13, -1, -1, 47, 48, 49, 50, 51, -1, 53, -1, -1, -1, -1, 58, 12, 13, 61, 47, 48, 49, 50, 51, -1, 53, -1, -1, 47, 48, 49, 50, 51, 61, 53, 47, 48, 49, 50, 51, -1, 53, 61, 12, 13, -1, -1, -1, -1, 61, -1, 47, 48, 49, 50, 51, -1, 53, 12, 13, -1, -1, -1, -1, -1, 61, -1, 12, 13, -1, -1, -1, -1, -1, 12, 13, -1, -1, 47, 48, 49, 50, 51, -1, 53, -1, -1, -1, -1, 12, 13, -1, 61, 47, 48, 49, 50, 51, -1, 53, -1, -1, 47, 48, 49, 50, 51, 61, 53, 47, 48, 49, 50, 51, -1, 53, 61, 12, 13, -1, -1, -1, -1, 61, 47, 48, 49, 50, 51, -1, 53, -1, 12, 13, -1, -1, -1, -1, 61, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 47, 48, 49, 50, 51, -1, 53, -1, -1, -1, -1, -1, -1, -1, 61, 47, 48, 49, 50, 51, -1, 53 }; /* YYSTOS[STATE-NUM] -- The (internal number of the) accessing symbol of state STATE-NUM. */ static const unsigned char yystos[] = { 0, 7, 11, 14, 16, 17, 18, 19, 20, 21, 22, 54, 63, 72, 73, 74, 75, 76, 78, 86, 87, 3, 5, 10, 56, 83, 83, 83, 83, 54, 83, 54, 79, 0, 37, 64, 74, 8, 15, 3, 4, 5, 9, 10, 56, 60, 88, 92, 94, 97, 5, 6, 8, 10, 15, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 47, 56, 59, 60, 77, 78, 91, 92, 94, 96, 97, 98, 100, 3, 82, 84, 85, 94, 84, 84, 84, 91, 93, 54, 91, 101, 72, 54, 77, 77, 93, 93, 77, 91, 99, 93, 91, 61, 93, 93, 91, 95, 91, 91, 91, 91, 91, 91, 91, 101, 91, 56, 91, 91, 12, 13, 47, 48, 49, 50, 51, 53, 57, 58, 94, 58, 93, 55, 80, 38, 39, 40, 41, 42, 65, 66, 75, 58, 58, 61, 58, 61, 61, 61, 61, 58, 61, 61, 61, 61, 61, 61, 58, 61, 61, 93, 59, 61, 91, 91, 91, 91, 91, 91, 91, 3, 89, 90, 101, 15, 81, 78, 55, 10, 56, 71, 10, 101, 43, 44, 67, 68, 55, 66, 93, 93, 91, 95, 91, 91, 58, 55, 58, 58, 93, 94, 58, 69, 57, 58, 58, 61, 61, 58, 58, 61, 61, 93, 78, 101, 89, 57, 94, 45, 46, 70, 93, 93, 99, 99, 58, 55, 57, 61, 61, 61, 93, 78, 94, 58, 93, 57, 56, 93, 58, 93, 58, 93, 58, 93, 57, 56, 93, 58, 93, 58, 93, 58, 93, 57, 56, 93, 58, 93, 58, 93, 58, 93, 57, 57 }; #define yyerrok (yyerrstatus = 0) #define yyclearin (yychar = YYEMPTY) #define YYEMPTY (-2) #define YYEOF 0 #define YYACCEPT goto yyacceptlab #define YYABORT goto yyabortlab #define YYERROR goto yyerrorlab /* Like YYERROR except do call yyerror. This remains here temporarily to ease the transition to the new meaning of YYERROR, for GCC. Once GCC version 2 has supplanted version 1, this can go. */ #define YYFAIL goto yyerrlab #define YYRECOVERING() (!!yyerrstatus) #define YYBACKUP(Token, Value) \ do \ if (yychar == YYEMPTY && yylen == 1) \ { \ yychar = (Token); \ yylval = (Value); \ yytoken = YYTRANSLATE (yychar); \ YYPOPSTACK; \ goto yybackup; \ } \ else \ { \ yyerror (YY_("syntax error: cannot back up")); \ YYERROR; \ } \ while (0) #define YYTERROR 1 #define YYERRCODE 256 /* YYLLOC_DEFAULT -- Set CURRENT to span from RHS[1] to RHS[N]. If N is 0, then set CURRENT to the empty location which ends the previous symbol: RHS[0] (always defined). */ #define YYRHSLOC(Rhs, K) ((Rhs)[K]) #ifndef YYLLOC_DEFAULT # define YYLLOC_DEFAULT(Current, Rhs, N) \ do \ if (N) \ { \ (Current).first_line = YYRHSLOC (Rhs, 1).first_line; \ (Current).first_column = YYRHSLOC (Rhs, 1).first_column; \ (Current).last_line = YYRHSLOC (Rhs, N).last_line; \ (Current).last_column = YYRHSLOC (Rhs, N).last_column; \ } \ else \ { \ (Current).first_line = (Current).last_line = \ YYRHSLOC (Rhs, 0).last_line; \ (Current).first_column = (Current).last_column = \ YYRHSLOC (Rhs, 0).last_column; \ } \ while (0) #endif /* YY_LOCATION_PRINT -- Print the location on the stream. This macro was not mandated originally: define only if we know we won't break user code: when these are the locations we know. */ #ifndef YY_LOCATION_PRINT # if YYLTYPE_IS_TRIVIAL # define YY_LOCATION_PRINT(File, Loc) \ fprintf (File, "%d.%d-%d.%d", \ (Loc).first_line, (Loc).first_column, \ (Loc).last_line, (Loc).last_column) # else # define YY_LOCATION_PRINT(File, Loc) ((void) 0) # endif #endif /* YYLEX -- calling `yylex' with the right arguments. */ #ifdef YYLEX_PARAM # define YYLEX yylex (YYLEX_PARAM) #else # define YYLEX yylex () #endif /* Enable debugging if requested. */ #if YYDEBUG # ifndef YYFPRINTF # include /* INFRINGES ON USER NAME SPACE */ # define YYFPRINTF fprintf # endif # define YYDPRINTF(Args) \ do { \ if (yydebug) \ YYFPRINTF Args; \ } while (0) # define YY_SYMBOL_PRINT(Title, Type, Value, Location) \ do { \ if (yydebug) \ { \ YYFPRINTF (stderr, "%s ", Title); \ yysymprint (stderr, \ Type, Value); \ YYFPRINTF (stderr, "\n"); \ } \ } while (0) /*------------------------------------------------------------------. | yy_stack_print -- Print the state stack from its BOTTOM up to its | | TOP (included). | `------------------------------------------------------------------*/ #if defined (__STDC__) || defined (__cplusplus) static void yy_stack_print (short int *bottom, short int *top) #else static void yy_stack_print (bottom, top) short int *bottom; short int *top; #endif { YYFPRINTF (stderr, "Stack now"); for (/* Nothing. */; bottom <= top; ++bottom) YYFPRINTF (stderr, " %d", *bottom); YYFPRINTF (stderr, "\n"); } # define YY_STACK_PRINT(Bottom, Top) \ do { \ if (yydebug) \ yy_stack_print ((Bottom), (Top)); \ } while (0) /*------------------------------------------------. | Report that the YYRULE is going to be reduced. | `------------------------------------------------*/ #if defined (__STDC__) || defined (__cplusplus) static void yy_reduce_print (int yyrule) #else static void yy_reduce_print (yyrule) int yyrule; #endif { int yyi; unsigned long int yylno = yyrline[yyrule]; YYFPRINTF (stderr, "Reducing stack by rule %d (line %lu), ", yyrule - 1, yylno); /* Print the symbols being reduced, and their result. */ for (yyi = yyprhs[yyrule]; 0 <= yyrhs[yyi]; yyi++) YYFPRINTF (stderr, "%s ", yytname[yyrhs[yyi]]); YYFPRINTF (stderr, "-> %s\n", yytname[yyr1[yyrule]]); } # define YY_REDUCE_PRINT(Rule) \ do { \ if (yydebug) \ yy_reduce_print (Rule); \ } while (0) /* Nonzero means print parse trace. It is left uninitialized so that multiple parsers can coexist. */ int yydebug; #else /* !YYDEBUG */ # define YYDPRINTF(Args) # define YY_SYMBOL_PRINT(Title, Type, Value, Location) # define YY_STACK_PRINT(Bottom, Top) # define YY_REDUCE_PRINT(Rule) #endif /* !YYDEBUG */ /* YYINITDEPTH -- initial size of the parser's stacks. */ #ifndef YYINITDEPTH # define YYINITDEPTH 200 #endif /* YYMAXDEPTH -- maximum size the stacks can grow to (effective only if the built-in stack extension method is used). Do not make this value too large; the results are undefined if YYSTACK_ALLOC_MAXIMUM < YYSTACK_BYTES (YYMAXDEPTH) evaluated with infinite-precision integer arithmetic. */ #ifndef YYMAXDEPTH # define YYMAXDEPTH 10000 #endif #if YYERROR_VERBOSE # ifndef yystrlen # if defined (__GLIBC__) && defined (_STRING_H) # define yystrlen strlen # else /* Return the length of YYSTR. */ static YYSIZE_T # if defined (__STDC__) || defined (__cplusplus) yystrlen (const char *yystr) # else yystrlen (yystr) const char *yystr; # endif { const char *yys = yystr; while (*yys++ != '\0') continue; return yys - yystr - 1; } # endif # endif # ifndef yystpcpy # if defined (__GLIBC__) && defined (_STRING_H) && defined (_GNU_SOURCE) # define yystpcpy stpcpy # else /* Copy YYSRC to YYDEST, returning the address of the terminating '\0' in YYDEST. */ static char * # if defined (__STDC__) || defined (__cplusplus) yystpcpy (char *yydest, const char *yysrc) # else yystpcpy (yydest, yysrc) char *yydest; const char *yysrc; # endif { char *yyd = yydest; const char *yys = yysrc; while ((*yyd++ = *yys++) != '\0') continue; return yyd - 1; } # endif # endif # ifndef yytnamerr /* Copy to YYRES the contents of YYSTR after stripping away unnecessary quotes and backslashes, so that it's suitable for yyerror. The heuristic is that double-quoting is unnecessary unless the string contains an apostrophe, a comma, or backslash (other than backslash-backslash). YYSTR is taken from yytname. If YYRES is null, do not copy; instead, return the length of what the result would have been. */ static YYSIZE_T yytnamerr (char *yyres, const char *yystr) { if (*yystr == '"') { size_t yyn = 0; char const *yyp = yystr; for (;;) switch (*++yyp) { case '\'': case ',': goto do_not_strip_quotes; case '\\': if (*++yyp != '\\') goto do_not_strip_quotes; /* Fall through. */ default: if (yyres) yyres[yyn] = *yyp; yyn++; break; case '"': if (yyres) yyres[yyn] = '\0'; return yyn; } do_not_strip_quotes: ; } if (! yyres) return yystrlen (yystr); return yystpcpy (yyres, yystr) - yyres; } # endif #endif /* YYERROR_VERBOSE */ #if YYDEBUG /*--------------------------------. | Print this symbol on YYOUTPUT. | `--------------------------------*/ #if defined (__STDC__) || defined (__cplusplus) static void yysymprint (FILE *yyoutput, int yytype, YYSTYPE *yyvaluep) #else static void yysymprint (yyoutput, yytype, yyvaluep) FILE *yyoutput; int yytype; YYSTYPE *yyvaluep; #endif { /* Pacify ``unused variable'' warnings. */ (void) yyvaluep; if (yytype < YYNTOKENS) YYFPRINTF (yyoutput, "token %s (", yytname[yytype]); else YYFPRINTF (yyoutput, "nterm %s (", yytname[yytype]); # ifdef YYPRINT if (yytype < YYNTOKENS) YYPRINT (yyoutput, yytoknum[yytype], *yyvaluep); # endif switch (yytype) { default: break; } YYFPRINTF (yyoutput, ")"); } #endif /* ! YYDEBUG */ /*-----------------------------------------------. | Release the memory associated to this symbol. | `-----------------------------------------------*/ #if defined (__STDC__) || defined (__cplusplus) static void yydestruct (const char *yymsg, int yytype, YYSTYPE *yyvaluep) #else static void yydestruct (yymsg, yytype, yyvaluep) const char *yymsg; int yytype; YYSTYPE *yyvaluep; #endif { /* Pacify ``unused variable'' warnings. */ (void) yyvaluep; if (!yymsg) yymsg = "Deleting"; YY_SYMBOL_PRINT (yymsg, yytype, yyvaluep, yylocationp); switch (yytype) { default: break; } } /* Prevent warnings from -Wmissing-prototypes. */ #ifdef YYPARSE_PARAM # if defined (__STDC__) || defined (__cplusplus) int yyparse (void *YYPARSE_PARAM); # else int yyparse (); # endif #else /* ! YYPARSE_PARAM */ #if defined (__STDC__) || defined (__cplusplus) int yyparse (void); #else int yyparse (); #endif #endif /* ! YYPARSE_PARAM */ /* The look-ahead symbol. */ int yychar; /* The semantic value of the look-ahead symbol. */ YYSTYPE yylval; /* Number of syntax errors so far. */ int yynerrs; /*----------. | yyparse. | `----------*/ #ifdef YYPARSE_PARAM # if defined (__STDC__) || defined (__cplusplus) int yyparse (void *YYPARSE_PARAM) # else int yyparse (YYPARSE_PARAM) void *YYPARSE_PARAM; # endif #else /* ! YYPARSE_PARAM */ #if defined (__STDC__) || defined (__cplusplus) int yyparse (void) #else int yyparse () ; #endif #endif { int yystate; int yyn; int yyresult; /* Number of tokens to shift before error messages enabled. */ int yyerrstatus; /* Look-ahead token as an internal (translated) token number. */ int yytoken = 0; /* Three stacks and their tools: `yyss': related to states, `yyvs': related to semantic values, `yyls': related to locations. Refer to the stacks thru separate pointers, to allow yyoverflow to reallocate them elsewhere. */ /* The state stack. */ short int yyssa[YYINITDEPTH]; short int *yyss = yyssa; short int *yyssp; /* The semantic value stack. */ YYSTYPE yyvsa[YYINITDEPTH]; YYSTYPE *yyvs = yyvsa; YYSTYPE *yyvsp; #define YYPOPSTACK (yyvsp--, yyssp--) YYSIZE_T yystacksize = YYINITDEPTH; /* The variables used to return semantic value and location from the action routines. */ YYSTYPE yyval; /* When reducing, the number of symbols on the RHS of the reduced rule. */ int yylen; YYDPRINTF ((stderr, "Starting parse\n")); yystate = 0; yyerrstatus = 0; yynerrs = 0; yychar = YYEMPTY; /* Cause a token to be read. */ /* Initialize stack pointers. Waste one element of value and location stack so that they stay on the same level as the state stack. The wasted elements are never initialized. */ yyssp = yyss; yyvsp = yyvs; goto yysetstate; /*------------------------------------------------------------. | yynewstate -- Push a new state, which is found in yystate. | `------------------------------------------------------------*/ yynewstate: /* In all cases, when you get here, the value and location stacks have just been pushed. so pushing a state here evens the stacks. */ yyssp++; yysetstate: *yyssp = yystate; if (yyss + yystacksize - 1 <= yyssp) { /* Get the current used size of the three stacks, in elements. */ YYSIZE_T yysize = yyssp - yyss + 1; #ifdef yyoverflow { /* Give user a chance to reallocate the stack. Use copies of these so that the &'s don't force the real ones into memory. */ YYSTYPE *yyvs1 = yyvs; short int *yyss1 = yyss; /* Each stack pointer address is followed by the size of the data in use in that stack, in bytes. This used to be a conditional around just the two extra args, but that might be undefined if yyoverflow is a macro. */ yyoverflow (YY_("memory exhausted"), &yyss1, yysize * sizeof (*yyssp), &yyvs1, yysize * sizeof (*yyvsp), &yystacksize); yyss = yyss1; yyvs = yyvs1; } #else /* no yyoverflow */ # ifndef YYSTACK_RELOCATE goto yyexhaustedlab; # else /* Extend the stack our own way. */ if (YYMAXDEPTH <= yystacksize) goto yyexhaustedlab; yystacksize *= 2; if (YYMAXDEPTH < yystacksize) yystacksize = YYMAXDEPTH; { short int *yyss1 = yyss; union yyalloc *yyptr = (union yyalloc *) YYSTACK_ALLOC (YYSTACK_BYTES (yystacksize)); if (! yyptr) goto yyexhaustedlab; YYSTACK_RELOCATE (yyss); YYSTACK_RELOCATE (yyvs); # undef YYSTACK_RELOCATE if (yyss1 != yyssa) YYSTACK_FREE (yyss1); } # endif #endif /* no yyoverflow */ yyssp = yyss + yysize - 1; yyvsp = yyvs + yysize - 1; YYDPRINTF ((stderr, "Stack size increased to %lu\n", (unsigned long int) yystacksize)); if (yyss + yystacksize - 1 <= yyssp) YYABORT; } YYDPRINTF ((stderr, "Entering state %d\n", yystate)); goto yybackup; /*-----------. | yybackup. | `-----------*/ yybackup: /* Do appropriate processing given the current state. */ /* Read a look-ahead token if we need one and don't already have one. */ /* yyresume: */ /* First try to decide what to do without reference to look-ahead token. */ yyn = yypact[yystate]; if (yyn == YYPACT_NINF) goto yydefault; /* Not known => get a look-ahead token if don't already have one. */ /* YYCHAR is either YYEMPTY or YYEOF or a valid look-ahead symbol. */ if (yychar == YYEMPTY) { YYDPRINTF ((stderr, "Reading a token: ")); yychar = YYLEX; } if (yychar <= YYEOF) { yychar = yytoken = YYEOF; YYDPRINTF ((stderr, "Now at end of input.\n")); } else { yytoken = YYTRANSLATE (yychar); YY_SYMBOL_PRINT ("Next token is", yytoken, &yylval, &yylloc); } /* If the proper action on seeing token YYTOKEN is to reduce or to detect an error, take that action. */ yyn += yytoken; if (yyn < 0 || YYLAST < yyn || yycheck[yyn] != yytoken) goto yydefault; yyn = yytable[yyn]; if (yyn <= 0) { if (yyn == 0 || yyn == YYTABLE_NINF) goto yyerrlab; yyn = -yyn; goto yyreduce; } if (yyn == YYFINAL) YYACCEPT; /* Shift the look-ahead token. */ YY_SYMBOL_PRINT ("Shifting", yytoken, &yylval, &yylloc); /* Discard the token being shifted unless it is eof. */ if (yychar != YYEOF) yychar = YYEMPTY; *++yyvsp = yylval; /* Count tokens shifted since error; after three, turn off error status. */ if (yyerrstatus) yyerrstatus--; yystate = yyn; goto yynewstate; /*-----------------------------------------------------------. | yydefault -- do the default action for the current state. | `-----------------------------------------------------------*/ yydefault: yyn = yydefact[yystate]; if (yyn == 0) goto yyerrlab; goto yyreduce; /*-----------------------------. | yyreduce -- Do a reduction. | `-----------------------------*/ yyreduce: /* yyn is the number of a rule to reduce with. */ yylen = yyr2[yyn]; /* If YYLEN is nonzero, implement the default value of the action: `$$ = $1'. Otherwise, the following line sets YYVAL to garbage. This behavior is undocumented and Bison users should not rely upon it. Assigning to YYVAL unconditionally makes the parser a bit smaller, and it avoids a GCC warning that YYVAL may be used uninitialized. */ yyval = yyvsp[1-yylen]; YY_REDUCE_PRINT (yyn); switch (yyn) { case 2: #line 105 "sketch.y" { objects = (yyvsp[-1].obj); } break; case 7: #line 117 "sketch.y" { set_global_env_opts(global_env, (yyvsp[0].str), line); } break; case 8: #line 121 "sketch.y" { set_global_baseline(global_env, (yyvsp[-1].flt), line); } break; case 9: #line 125 "sketch.y" { set_global_baseline(global_env, (yyvsp[-2].flt), line); set_global_env_extent(global_env, (yyvsp[-1].pt), (yyvsp[0].pt), line); } break; case 10: #line 130 "sketch.y" { set_global_env_camera(global_env, (yyvsp[0].xf), line); } break; case 11: #line 134 "sketch.y" { set_global_env_frame(global_env, NULL, line); } break; case 12: #line 138 "sketch.y" { set_global_env_frame(global_env, (yyvsp[0].str), line); } break; case 13: #line 142 "sketch.y" { set_global_output_language(global_env, (yyvsp[0].index), line); } break; case 15: #line 148 "sketch.y" { (yyval.index) = (yyvsp[-1].index) | (yyvsp[0].index); } break; case 16: #line 151 "sketch.y" { (yyval.index) = GEOL_PSTRICKS; } break; case 17: #line 152 "sketch.y" { (yyval.index) = GEOL_TIKZ; } break; case 18: #line 155 "sketch.y" { (yyval.index) = (yyvsp[0].index); } break; case 19: #line 156 "sketch.y" { (yyval.index) = GEOL_LATEX; } break; case 20: #line 159 "sketch.y" { (yyval.index) = GEOL_LATEX; } break; case 21: #line 160 "sketch.y" { (yyval.index) = GEOL_CONTEXT; } break; case 22: #line 163 "sketch.y" { (yyval.flt) = (yyvsp[-1].flt); } break; case 23: #line 164 "sketch.y" { (yyval.flt) = NO_BASELINE; } break; case 24: #line 167 "sketch.y" { (yyval.obj) = sibling_reverse((yyvsp[0].obj)); } break; case 25: #line 170 "sketch.y" { (yyval.obj) = cat_objects(sibling_reverse((yyvsp[0].obj)), (yyvsp[-1].obj)); } break; case 26: #line 171 "sketch.y" { (yyval.obj) = sibling_reverse((yyvsp[0].obj)); } break; case 27: #line 174 "sketch.y" { (yyval.obj) = NULL; } break; case 28: #line 175 "sketch.y" { (yyval.obj) = (yyvsp[0].obj); } break; case 29: #line 179 "sketch.y" { new_symbol(sym_tab, (yyvsp[-1].name), 0, (yyvsp[0].obj), line); } break; case 30: #line 180 "sketch.y" { new_symbol(sym_tab, (yyvsp[-2].name), 0, (yyvsp[0].obj), line); } break; case 31: #line 181 "sketch.y" { new_symbol(sym_tab, (yyvsp[-1].name), 0, new_tag_def(), line); } break; case 32: #line 184 "sketch.y" { strcpy((yyval.name), new_symbol(sym_tab, (yyvsp[-2].name), (yyvsp[-1].name), (yyvsp[0].obj), line) ? "" : (yyvsp[-2].name)); } break; case 33: #line 185 "sketch.y" { strcpy((yyval.name), new_symbol(sym_tab, (yyvsp[-2].name), (yyvsp[-1].name), (yyvsp[0].obj), line) ? "" : (yyvsp[-2].name)); } break; case 34: #line 188 "sketch.y" { (yyval.obj) = object_from_expr(&(yyvsp[0].exv)); } break; case 35: #line 189 "sketch.y" { (yyval.obj) = (yyvsp[0].obj); } break; case 36: #line 190 "sketch.y" { (yyval.obj) = new_opts_def((yyvsp[0].str), line); } break; case 37: #line 193 "sketch.y" { (yyval.obj) = new_dots((yyvsp[-1].opts), (yyvsp[0].obj)); } break; case 38: #line 194 "sketch.y" { (yyval.obj) = new_line((yyvsp[-1].opts), (yyvsp[0].obj)); } break; case 39: #line 195 "sketch.y" { (yyval.obj) = new_curve((yyvsp[-1].opts), (yyvsp[0].obj)); } break; case 40: #line 196 "sketch.y" { (yyval.obj) = new_polygon((yyvsp[-1].opts), (yyvsp[0].obj)); } break; case 41: #line 198 "sketch.y" { (yyval.obj) = new_sweep((yyvsp[-7].opts), (yyvsp[-5].flt), (yyvsp[-4].bool), (yyvsp[-2].obj), new_point_def((yyvsp[0].pt))); } break; case 42: #line 202 "sketch.y" { (yyval.obj) = new_sweep((yyvsp[-7].opts), (yyvsp[-5].flt), (yyvsp[-4].bool), (yyvsp[-2].obj), (yyvsp[0].obj)); } break; case 43: #line 206 "sketch.y" { (yyval.obj) = new_repeat((yyvsp[-4].flt), (yyvsp[-2].obj), (yyvsp[0].obj)); } break; case 44: #line 209 "sketch.y" { (yyval.obj) = new_compound((yyvsp[-2].xf), (yyvsp[0].obj)); } break; case 45: #line 210 "sketch.y" { (yyval.obj) = new_special((yyvsp[-1].str), (yyvsp[0].obj), line); } break; case 46: #line 211 "sketch.y" { look_up_drawable(sym_tab, &(yyval.obj), line, (yyvsp[0].name)); } break; case 47: #line 212 "sketch.y" { sym_tab = new_scope(sym_tab); } break; case 48: #line 213 "sketch.y" { sym_tab = old_scope(sym_tab); } break; case 49: #line 215 "sketch.y" { if ((yyvsp[-2].obj) == NULL) err(line, "no drawables in compound declaration"); (yyval.obj) = (yyvsp[-2].obj); } break; case 50: #line 222 "sketch.y" { (yyval.bool) = 1; } break; case 51: #line 223 "sketch.y" { (yyval.bool) = 0; } break; case 52: #line 227 "sketch.y" { (yyval.opts) = look_up_and_append_to_opts(sym_tab, &(yyvsp[-2].opts), line, (yyvsp[0].name)); } break; case 53: #line 231 "sketch.y" { (yyval.opts) = NULL; (yyval.opts) = look_up_and_append_to_opts(sym_tab, &(yyval.opts), line, (yyvsp[0].name)); } break; case 54: #line 237 "sketch.y" { (yyval.opts) = new_opts((yyvsp[0].str), line); } break; case 55: #line 238 "sketch.y" { look_up_opts(sym_tab, &(yyval.opts), line, (yyvsp[0].name)); } break; case 56: #line 239 "sketch.y" { (yyval.opts) = (yyvsp[-1].opts); } break; case 57: #line 240 "sketch.y" { (yyval.opts) = NULL; } break; case 58: #line 243 "sketch.y" { (yyval.obj) = sibling_reverse((yyvsp[0].obj)); } break; case 59: #line 246 "sketch.y" { (yyval.obj) = cat_objects(new_point_def((yyvsp[0].pt)), (yyvsp[-1].obj)); } break; case 60: #line 247 "sketch.y" { (yyval.obj) = new_point_def((yyvsp[0].pt)); } break; case 61: #line 250 "sketch.y" { (yyval.obj) = sibling_reverse((yyvsp[0].obj)); } break; case 62: #line 253 "sketch.y" { (yyval.obj) = cat_objects((yyvsp[0].obj), (yyvsp[-1].obj)); } break; case 63: #line 254 "sketch.y" { (yyval.obj) = NULL; } break; case 64: #line 257 "sketch.y" { (yyval.obj) = new_scalar_def((yyvsp[0].flt)); } break; case 65: #line 258 "sketch.y" { (yyval.obj) = new_point_def((yyvsp[0].pt)); } break; case 66: #line 259 "sketch.y" { (yyval.obj) = new_vector_def((yyvsp[0].vec)); } break; case 67: #line 260 "sketch.y" { (yyval.obj) = new_opts_def((yyvsp[0].str), line); } break; case 68: #line 261 "sketch.y" { look_up_vector_or_opts(sym_tab, &(yyval.obj), line, (yyvsp[0].name)); } break; case 69: #line 264 "sketch.y" { (yyval.obj) = sibling_reverse((yyvsp[0].obj)); } break; case 70: #line 267 "sketch.y" { (yyval.obj) = cat_objects(new_transform_def((yyvsp[0].xf)), (yyvsp[-2].obj)); } break; case 71: #line 268 "sketch.y" { (yyval.obj) = new_transform_def((yyvsp[0].xf)); } break; case 72: #line 271 "sketch.y" { set_float(&(yyval.exv), (yyvsp[0].flt)); } break; case 73: #line 272 "sketch.y" { set_point(&(yyval.exv), (yyvsp[0].pt)); } break; case 74: #line 273 "sketch.y" { set_vector(&(yyval.exv), (yyvsp[0].vec)); } break; case 75: #line 274 "sketch.y" { set_transform(&(yyval.exv), (yyvsp[0].xf)); } break; case 76: #line 275 "sketch.y" { do_add(&(yyval.exv), &(yyvsp[-2].exv), &(yyvsp[0].exv), line); } break; case 77: #line 276 "sketch.y" { do_sub(&(yyval.exv), &(yyvsp[-2].exv), &(yyvsp[0].exv), line); } break; case 78: #line 277 "sketch.y" { do_mul(&(yyval.exv), &(yyvsp[-2].exv), &(yyvsp[0].exv), line); } break; case 79: #line 278 "sketch.y" { do_dvd(&(yyval.exv), &(yyvsp[-2].exv), &(yyvsp[0].exv), line); } break; case 80: #line 279 "sketch.y" { do_dot(&(yyval.exv), &(yyvsp[-2].exv), &(yyvsp[0].exv), line); } break; case 81: #line 280 "sketch.y" { do_thn(&(yyval.exv), &(yyvsp[-2].exv), &(yyvsp[0].exv), line); } break; case 82: #line 281 "sketch.y" { do_mag(&(yyval.exv), &(yyvsp[-1].exv), line); } break; case 83: #line 282 "sketch.y" { do_neg(&(yyval.exv), &(yyvsp[0].exv), line); } break; case 84: #line 283 "sketch.y" { do_pwr(&(yyval.exv), &(yyvsp[-2].exv), &(yyvsp[0].exv), line); } break; case 85: #line 284 "sketch.y" { (yyval.exv) = (yyvsp[-1].exv); } break; case 86: #line 285 "sketch.y" { do_unit(&(yyval.exv), &(yyvsp[-1].exv), line); } break; case 87: #line 286 "sketch.y" { do_sqrt(&(yyval.exv), &(yyvsp[-1].exv), line); } break; case 88: #line 287 "sketch.y" { do_sin(&(yyval.exv), &(yyvsp[-1].exv), line); } break; case 89: #line 288 "sketch.y" { do_cos(&(yyval.exv), &(yyvsp[-1].exv), line); } break; case 90: #line 289 "sketch.y" { do_asin(&(yyval.exv), &(yyvsp[-1].exv), line); } break; case 91: #line 290 "sketch.y" { do_acos(&(yyval.exv), &(yyvsp[-1].exv), line); } break; case 92: #line 291 "sketch.y" { do_atan2(&(yyval.exv), &(yyvsp[-3].exv), &(yyvsp[-1].exv), line); } break; case 93: #line 292 "sketch.y" { do_index(&(yyval.exv), &(yyvsp[-1].exv), (yyvsp[0].index), line); } break; case 94: #line 295 "sketch.y" { (yyval.flt) = (yyvsp[0].flt); } break; case 95: #line 296 "sketch.y" { look_up_scalar(sym_tab, &(yyval.flt), line, (yyvsp[0].name)); } break; case 96: #line 299 "sketch.y" { coerce_to_float(&(yyvsp[0].exv), &(yyval.flt), line); } break; case 97: #line 303 "sketch.y" { (yyval.pt)[X] = (yyvsp[-5].flt); (yyval.pt)[Y] = (yyvsp[-3].flt); (yyval.pt)[Z] = (yyvsp[-1].flt); } break; case 98: #line 307 "sketch.y" { (yyval.pt)[X] = (yyvsp[-3].flt); (yyval.pt)[Y] = (yyvsp[-1].flt); (yyval.pt)[Z] = 0; } break; case 99: #line 310 "sketch.y" { look_up_point(sym_tab, (yyval.pt), line, (yyvsp[0].name)); } break; case 100: #line 313 "sketch.y" { coerce_to_point(&(yyvsp[0].exv), (yyval.pt), line); } break; case 101: #line 316 "sketch.y" { copy_vec_3d((yyval.vec), (yyvsp[0].vec)); } break; case 102: #line 317 "sketch.y" { copy_vec_3d((yyval.vec), (yyvsp[0].vec)); } break; case 103: #line 321 "sketch.y" { (yyval.vec)[X] = (yyvsp[-5].flt); (yyval.vec)[Y] = (yyvsp[-3].flt); (yyval.vec)[Z] = (yyvsp[-1].flt); } break; case 104: #line 325 "sketch.y" { (yyval.vec)[X] = (yyvsp[-3].flt); (yyval.vec)[Y] = (yyvsp[-1].flt); (yyval.vec)[Z] = 0; } break; case 105: #line 330 "sketch.y" { look_up_vector(sym_tab, (yyval.vec), line, (yyvsp[0].name)); } break; case 106: #line 333 "sketch.y" { coerce_to_vector(&(yyvsp[0].exv), (yyval.vec), line); } break; case 107: #line 342 "sketch.y" { // transform is column major while elements are row major (yyval.xf)[0] = (yyvsp[-35].flt); (yyval.xf)[4] = (yyvsp[-33].flt); (yyval.xf)[8] = (yyvsp[-31].flt); (yyval.xf)[12] = (yyvsp[-29].flt); (yyval.xf)[1] = (yyvsp[-26].flt); (yyval.xf)[5] = (yyvsp[-24].flt); (yyval.xf)[9] = (yyvsp[-22].flt); (yyval.xf)[13] = (yyvsp[-20].flt); (yyval.xf)[2] = (yyvsp[-17].flt); (yyval.xf)[6] = (yyvsp[-15].flt); (yyval.xf)[10] = (yyvsp[-13].flt); (yyval.xf)[14] = (yyvsp[-11].flt); (yyval.xf)[3] = (yyvsp[-8].flt); (yyval.xf)[7] = (yyvsp[-6].flt); (yyval.xf)[11] = (yyvsp[-4].flt); (yyval.xf)[15] = (yyvsp[-2].flt); } break; case 108: #line 349 "sketch.y" { set_angle_axis_rot_about_point((yyval.xf), (yyvsp[-1].flt) * (PI/180), 0, 0); } break; case 109: #line 353 "sketch.y" { if (EXPR_TYPE_IS(&(yyvsp[-1].exv), E_POINT)) set_angle_axis_rot_about_point((yyval.xf), (yyvsp[-3].flt) * (PI/180), (yyvsp[-1].exv).val.pt, 0); else if (EXPR_TYPE_IS(&(yyvsp[-1].exv), E_VECTOR)) set_angle_axis_rot_about_point((yyval.xf), (yyvsp[-3].flt) * (PI/180), 0, (yyvsp[-1].exv).val.vec); else err(line, "expected point or vector rotation parameter, and it's a %s", expr_val_type_str[(yyvsp[-1].exv).tag]); } break; case 110: #line 363 "sketch.y" { set_angle_axis_rot_about_point((yyval.xf), (yyvsp[-5].flt) * (PI/180), (yyvsp[-3].pt), (yyvsp[-1].vec)); } break; case 111: #line 367 "sketch.y" { set_translation((yyval.xf), (yyvsp[-1].vec)[X], (yyvsp[-1].vec)[Y], (yyvsp[-1].vec)[Z]); } break; case 112: #line 371 "sketch.y" { if ((yyvsp[-1].exv).tag == E_FLOAT) { FLOAT s = (yyvsp[-1].exv).val.flt; set_scale((yyval.xf), s, s, s); } else if ((yyvsp[-1].exv).tag == E_VECTOR) { VECTOR v = (yyvsp[-1].exv).val.vec; set_scale((yyval.xf), v[X], v[Y], v[Z]); } else { err(line, "expected scalar or vector scale parameter, and it's a %s", expr_val_type_str[(yyvsp[-1].exv).tag]); set_ident((yyval.xf)); } } break; case 113: #line 387 "sketch.y" { set_parallel_projection((yyval.xf)); } break; case 114: #line 388 "sketch.y" { set_perspective_projection((yyval.xf), (yyvsp[-1].flt)); } break; case 115: #line 389 "sketch.y" { set_perspective_transform((yyval.xf), (yyvsp[-1].flt)); } break; case 116: #line 391 "sketch.y" { if ((yyvsp[-3].exv).tag == E_VECTOR) set_view_transform((yyval.xf), (yyvsp[-5].pt), (yyvsp[-3].exv).val.vec, (yyvsp[-1].vec)); else if ((yyvsp[-3].exv).tag == E_POINT) set_view_transform_with_look_at((yyval.xf), (yyvsp[-5].pt), (yyvsp[-3].exv).val.pt, (yyvsp[-1].vec)); else err(line, "expected point or vector view parameter, and it's a %s", expr_val_type_str[(yyvsp[-3].exv).tag]); } break; case 117: #line 401 "sketch.y" { if ((yyvsp[-1].exv).tag == E_VECTOR) set_view_transform((yyval.xf), (yyvsp[-3].pt), (yyvsp[-1].exv).val.vec, NULL); else if ((yyvsp[-1].exv).tag == E_POINT) set_view_transform_with_look_at((yyval.xf), (yyvsp[-3].pt), (yyvsp[-1].exv).val.pt, NULL); else err(line, "expected point or vector view parameter, and it's a %s", expr_val_type_str[(yyvsp[-1].exv).tag]); } break; case 118: #line 411 "sketch.y" { set_view_transform((yyval.xf), (yyvsp[-1].pt), NULL, NULL); } break; case 119: #line 415 "sketch.y" { do_inverse((yyval.xf), (yyvsp[-1].xf), line); } break; case 120: #line 416 "sketch.y" { look_up_transform(sym_tab, (yyval.xf), line, (yyvsp[0].name)); } break; case 121: #line 419 "sketch.y" { coerce_to_transform(&(yyvsp[0].exv), (yyval.xf), line); } break; default: break; } /* Line 1126 of yacc.c. */ #line 2209 "y.tab.c" yyvsp -= yylen; yyssp -= yylen; YY_STACK_PRINT (yyss, yyssp); *++yyvsp = yyval; /* Now `shift' the result of the reduction. Determine what state that goes to, based on the state we popped back to and the rule number reduced by. */ yyn = yyr1[yyn]; yystate = yypgoto[yyn - YYNTOKENS] + *yyssp; if (0 <= yystate && yystate <= YYLAST && yycheck[yystate] == *yyssp) yystate = yytable[yystate]; else yystate = yydefgoto[yyn - YYNTOKENS]; goto yynewstate; /*------------------------------------. | yyerrlab -- here on detecting error | `------------------------------------*/ yyerrlab: /* If not already recovering from an error, report this error. */ if (!yyerrstatus) { ++yynerrs; #if YYERROR_VERBOSE yyn = yypact[yystate]; if (YYPACT_NINF < yyn && yyn < YYLAST) { int yytype = YYTRANSLATE (yychar); YYSIZE_T yysize0 = yytnamerr (0, yytname[yytype]); YYSIZE_T yysize = yysize0; YYSIZE_T yysize1; int yysize_overflow = 0; char *yymsg = 0; # define YYERROR_VERBOSE_ARGS_MAXIMUM 5 char const *yyarg[YYERROR_VERBOSE_ARGS_MAXIMUM]; int yyx; #if 0 /* This is so xgettext sees the translatable formats that are constructed on the fly. */ YY_("syntax error, unexpected %s"); YY_("syntax error, unexpected %s, expecting %s"); YY_("syntax error, unexpected %s, expecting %s or %s"); YY_("syntax error, unexpected %s, expecting %s or %s or %s"); YY_("syntax error, unexpected %s, expecting %s or %s or %s or %s"); #endif char *yyfmt; char const *yyf; static char const yyunexpected[] = "syntax error, unexpected %s"; static char const yyexpecting[] = ", expecting %s"; static char const yyor[] = " or %s"; char yyformat[sizeof yyunexpected + sizeof yyexpecting - 1 + ((YYERROR_VERBOSE_ARGS_MAXIMUM - 2) * (sizeof yyor - 1))]; char const *yyprefix = yyexpecting; /* Start YYX at -YYN if negative to avoid negative indexes in YYCHECK. */ int yyxbegin = yyn < 0 ? -yyn : 0; /* Stay within bounds of both yycheck and yytname. */ int yychecklim = YYLAST - yyn; int yyxend = yychecklim < YYNTOKENS ? yychecklim : YYNTOKENS; int yycount = 1; yyarg[0] = yytname[yytype]; yyfmt = yystpcpy (yyformat, yyunexpected); for (yyx = yyxbegin; yyx < yyxend; ++yyx) if (yycheck[yyx + yyn] == yyx && yyx != YYTERROR) { if (yycount == YYERROR_VERBOSE_ARGS_MAXIMUM) { yycount = 1; yysize = yysize0; yyformat[sizeof yyunexpected - 1] = '\0'; break; } yyarg[yycount++] = yytname[yyx]; yysize1 = yysize + yytnamerr (0, yytname[yyx]); yysize_overflow |= yysize1 < yysize; yysize = yysize1; yyfmt = yystpcpy (yyfmt, yyprefix); yyprefix = yyor; } yyf = YY_(yyformat); yysize1 = yysize + yystrlen (yyf); yysize_overflow |= yysize1 < yysize; yysize = yysize1; if (!yysize_overflow && yysize <= YYSTACK_ALLOC_MAXIMUM) yymsg = (char *) YYSTACK_ALLOC (yysize); if (yymsg) { /* Avoid sprintf, as that infringes on the user's name space. Don't have undefined behavior even if the translation produced a string with the wrong number of "%s"s. */ char *yyp = yymsg; int yyi = 0; while ((*yyp = *yyf)) { if (*yyp == '%' && yyf[1] == 's' && yyi < yycount) { yyp += yytnamerr (yyp, yyarg[yyi++]); yyf += 2; } else { yyp++; yyf++; } } yyerror (yymsg); YYSTACK_FREE (yymsg); } else { yyerror (YY_("syntax error")); goto yyexhaustedlab; } } else #endif /* YYERROR_VERBOSE */ yyerror (YY_("syntax error")); } if (yyerrstatus == 3) { /* If just tried and failed to reuse look-ahead token after an error, discard it. */ if (yychar <= YYEOF) { /* Return failure if at end of input. */ if (yychar == YYEOF) YYABORT; } else { yydestruct ("Error: discarding", yytoken, &yylval); yychar = YYEMPTY; } } /* Else will try to reuse look-ahead token after shifting the error token. */ goto yyerrlab1; /*---------------------------------------------------. | yyerrorlab -- error raised explicitly by YYERROR. | `---------------------------------------------------*/ yyerrorlab: /* Pacify compilers like GCC when the user code never invokes YYERROR and the label yyerrorlab therefore never appears in user code. */ if (0) goto yyerrorlab; yyvsp -= yylen; yyssp -= yylen; yystate = *yyssp; goto yyerrlab1; /*-------------------------------------------------------------. | yyerrlab1 -- common code for both syntax error and YYERROR. | `-------------------------------------------------------------*/ yyerrlab1: yyerrstatus = 3; /* Each real token shifted decrements this. */ for (;;) { yyn = yypact[yystate]; if (yyn != YYPACT_NINF) { yyn += YYTERROR; if (0 <= yyn && yyn <= YYLAST && yycheck[yyn] == YYTERROR) { yyn = yytable[yyn]; if (0 < yyn) break; } } /* Pop the current state because it cannot handle the error token. */ if (yyssp == yyss) YYABORT; yydestruct ("Error: popping", yystos[yystate], yyvsp); YYPOPSTACK; yystate = *yyssp; YY_STACK_PRINT (yyss, yyssp); } if (yyn == YYFINAL) YYACCEPT; *++yyvsp = yylval; /* Shift the error token. */ YY_SYMBOL_PRINT ("Shifting", yystos[yyn], yyvsp, yylsp); yystate = yyn; goto yynewstate; /*-------------------------------------. | yyacceptlab -- YYACCEPT comes here. | `-------------------------------------*/ yyacceptlab: yyresult = 0; goto yyreturn; /*-----------------------------------. | yyabortlab -- YYABORT comes here. | `-----------------------------------*/ yyabortlab: yyresult = 1; goto yyreturn; #ifndef yyoverflow /*-------------------------------------------------. | yyexhaustedlab -- memory exhaustion comes here. | `-------------------------------------------------*/ yyexhaustedlab: yyerror (YY_("memory exhausted")); yyresult = 2; /* Fall through. */ #endif yyreturn: if (yychar != YYEOF && yychar != YYEMPTY) yydestruct ("Cleanup: discarding lookahead", yytoken, &yylval); while (yyssp != yyss) { yydestruct ("Cleanup: popping", yystos[*yyssp], yyvsp); YYPOPSTACK; } #ifndef yyoverflow if (yyss != yyssa) YYSTACK_FREE (yyss); #endif return yyresult; } #line 422 "sketch.y" int parse(SYMBOL_TABLE *st) { int ret; objects = NULL; sym_tab = st; ret = yyparse(); // should set sym_tab back to NULL sym_tab = old_scope(sym_tab); if (sym_tab) die(no_line, "zombie symbol table"); return ret; } OBJECT *parsed_objects(void) { return objects; } sketch-0.3.7/y.tab.h0100644000076400010400000000716411722043474016770 0ustar freddieresslerAdministrators/* A Bison parser, made by GNU Bison 2.1. */ /* Skeleton parser for Yacc-like parsing with Bison, Copyright (C) 1984, 1989, 1990, 2000, 2001, 2002, 2003, 2004, 2005 Free Software Foundation, Inc. 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, 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. */ /* As a special exception, when this file is copied by Bison into a Bison output file, you may use that output file without restriction. This special exception was added by the Free Software Foundation in version 1.24 of Bison. */ /* Tokens. */ #ifndef YYTOKENTYPE # define YYTOKENTYPE /* Put the tokens into the symbol table, so that GDB and other debuggers know about them. */ enum yytokentype { ID = 258, PAREN_ID = 259, BRACKET_ID = 260, DBL_BRACKET_ID = 261, CURLY_ID = 262, ANGLE_ID = 263, NUM = 264, OPTS_STR = 265, SPECIAL = 266, TICK = 267, THEN = 268, DEF = 269, EMPTY_ANGLE = 270, DOTS = 271, LINE = 272, CURVE = 273, POLYGON = 274, REPEAT = 275, SWEEP = 276, PUT = 277, TRANSLATE = 278, ROTATE = 279, SCALE = 280, PROJECT = 281, PERSPECTIVE = 282, VIEW = 283, SQRT = 284, SIN = 285, ASIN = 286, COS = 287, ACOS = 288, ATAN2 = 289, UNIT = 290, INVERSE = 291, GLOBAL = 292, SET = 293, PICTUREBOX = 294, FRAME = 295, CAMERA = 296, LANGUAGE = 297, PSTRICKS = 298, TIKZ = 299, LaTeX = 300, ConTeXt = 301, NEG = 302 }; #endif /* Tokens. */ #define ID 258 #define PAREN_ID 259 #define BRACKET_ID 260 #define DBL_BRACKET_ID 261 #define CURLY_ID 262 #define ANGLE_ID 263 #define NUM 264 #define OPTS_STR 265 #define SPECIAL 266 #define TICK 267 #define THEN 268 #define DEF 269 #define EMPTY_ANGLE 270 #define DOTS 271 #define LINE 272 #define CURVE 273 #define POLYGON 274 #define REPEAT 275 #define SWEEP 276 #define PUT 277 #define TRANSLATE 278 #define ROTATE 279 #define SCALE 280 #define PROJECT 281 #define PERSPECTIVE 282 #define VIEW 283 #define SQRT 284 #define SIN 285 #define ASIN 286 #define COS 287 #define ACOS 288 #define ATAN2 289 #define UNIT 290 #define INVERSE 291 #define GLOBAL 292 #define SET 293 #define PICTUREBOX 294 #define FRAME 295 #define CAMERA 296 #define LANGUAGE 297 #define PSTRICKS 298 #define TIKZ 299 #define LaTeX 300 #define ConTeXt 301 #define NEG 302 #if ! defined (YYSTYPE) && ! defined (YYSTYPE_IS_DECLARED) #line 57 "sketch.y" typedef union YYSTYPE { char *str; FLOAT flt; POINT_3D pt; VECTOR_3D vec; TRANSFORM xf; EXPR_VAL exv; SYMBOL_NAME name; OBJECT *obj; OPTS *opts; int bool; int index; } YYSTYPE; /* Line 1447 of yacc.c. */ #line 146 "y.tab.h" # define yystype YYSTYPE /* obsolescent; will be withdrawn */ # define YYSTYPE_IS_DECLARED 1 # define YYSTYPE_IS_TRIVIAL 1 #endif extern YYSTYPE yylval;

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