lssa-0.1.4/ 0000755 0000000 0000000 00000000000 13743165726 010662 5 ustar 00 0000000 0000000 lssa-0.1.4/COPYING 0000644 0000000 0000000 00000104513 13743165726 011721 0 ustar 00 0000000 0000000 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. Our General Public Licenses are designed to make sure that you
have the freedom to distribute copies of free software (and charge for
them if you wish), that you receive source code or can get it if you
want it, that you can change the software or use pieces of it in new
free programs, and that you know you can do these things.
To protect your rights, we need to prevent others from denying you
these rights or asking you to surrender the rights. Therefore, you have
certain responsibilities if you distribute copies of the software, or if
you modify it: responsibilities to respect the freedom of others.
For example, if you distribute copies of such a program, whether
gratis or for a fee, you must pass on to the recipients the same
freedoms that you received. You must make sure that they, too, receive
or can get the source code. And you must show them these terms so they
know their rights.
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. If such problems arise substantially in other domains, we
stand ready to extend this provision to those domains in future versions
of the GPL, as needed to protect the freedom of users.
Finally, every program is threatened constantly by software patents.
States should not allow patents to restrict development and use of
software on general-purpose computers, but in those that do, we wish to
avoid the special danger that patents applied to a free program could
make it effectively proprietary. To prevent this, the GPL assures that
patents cannot be used to render the program non-free.
The precise terms and conditions for copying, distribution and
modification follow.
TERMS AND CONDITIONS
0. Definitions.
"This License" refers to version 3 of the GNU General Public License.
"Copyright" also means copyright-like laws that apply to other kinds of
works, such as semiconductor masks.
"The Program" refers to any copyrightable work licensed under this
License. Each licensee is addressed as "you". "Licensees" and
"recipients" may be individuals or organizations.
To "modify" a work means to copy from or adapt all or part of the work
in a fashion requiring copyright permission, other than the making of an
exact copy. The resulting work is called a "modified version" of the
earlier work or a work "based on" the earlier work.
A "covered work" means either the unmodified Program or a work based
on the Program.
To "propagate" a work means to do anything with it that, without
permission, would make you directly or secondarily liable for
infringement under applicable copyright law, except executing it on a
computer or modifying a private copy. Propagation includes copying,
distribution (with or without modification), making available to the
public, and in some countries other activities as well.
To "convey" a work means any kind of propagation that enables other
parties to make or receive copies. Mere interaction with a user through
a computer network, with no transfer of a copy, is not conveying.
An interactive user interface displays "Appropriate Legal Notices"
to the extent that it includes a convenient and prominently visible
feature that (1) displays an appropriate copyright notice, and (2)
tells the user that there is no warranty for the work (except to the
extent that warranties are provided), that licensees may convey the
work under this License, and how to view a copy of this License. If
the interface presents a list of user commands or options, such as a
menu, a prominent item in the list meets this criterion.
1. Source Code.
The "source code" for a work means the preferred form of the work
for making modifications to it. "Object code" means any non-source
form of a work.
A "Standard Interface" means an interface that either is an official
standard defined by a recognized standards body, or, in the case of
interfaces specified for a particular programming language, one that
is widely used among developers working in that language.
The "System Libraries" of an executable work include anything, other
than the work as a whole, that (a) is included in the normal form of
packaging a Major Component, but which is not part of that Major
Component, and (b) serves only to enable use of the work with that
Major Component, or to implement a Standard Interface for which an
implementation is available to the public in source code form. A
"Major Component", in this context, means a major essential component
(kernel, window system, and so on) of the specific operating system
(if any) on which the executable work runs, or a compiler used to
produce the work, or an object code interpreter used to run it.
The "Corresponding Source" for a work in object code form means all
the source code needed to generate, install, and (for an executable
work) run the object code and to modify the work, including scripts to
control those activities. However, it does not include the work's
System Libraries, or general-purpose tools or generally available free
programs which are used unmodified in performing those activities but
which are not part of the work. For example, Corresponding Source
includes interface definition files associated with source files for
the work, and the source code for shared libraries and dynamically
linked subprograms that the work is specifically designed to require,
such as by intimate data communication or control flow between those
subprograms and other parts of the work.
The Corresponding Source need not include anything that users
can regenerate automatically from other parts of the Corresponding
Source.
The Corresponding Source for a work in source code form is that
same work.
2. Basic Permissions.
All rights granted under this License are granted for the term of
copyright on the Program, and are irrevocable provided the stated
conditions are met. This License explicitly affirms your unlimited
permission to run the unmodified Program. The output from running a
covered work is covered by this License only if the output, given its
content, constitutes a covered work. This License acknowledges your
rights of fair use or other equivalent, as provided by copyright law.
You may make, run and propagate covered works that you do not
convey, without conditions so long as your license otherwise remains
in force. You may convey covered works to others for the sole purpose
of having them make modifications exclusively for you, or provide you
with facilities for running those works, provided that you comply with
the terms of this License in conveying all material for which you do
not control copyright. Those thus making or running the covered works
for you must do so exclusively on your behalf, under your direction
and control, on terms that prohibit them from making any copies of
your copyrighted material outside their relationship with you.
Conveying under any other circumstances is permitted solely under
the conditions stated below. Sublicensing is not allowed; section 10
makes it unnecessary.
3. Protecting Users' Legal Rights From Anti-Circumvention Law.
No covered work shall be deemed part of an effective technological
measure under any applicable law fulfilling obligations under article
11 of the WIPO copyright treaty adopted on 20 December 1996, or
similar laws prohibiting or restricting circumvention of such
measures.
When you convey a covered work, you waive any legal power to forbid
circumvention of technological measures to the extent such circumvention
is effected by exercising rights under this License with respect to
the covered work, and you disclaim any intention to limit operation or
modification of the work as a means of enforcing, against the work's
users, your or third parties' legal rights to forbid circumvention of
technological measures.
4. Conveying Verbatim Copies.
You may convey verbatim copies of the Program's source code as you
receive it, in any medium, provided that you conspicuously and
appropriately publish on each copy an appropriate copyright notice;
keep intact all notices stating that this License and any
non-permissive terms added in accord with section 7 apply to the code;
keep intact all notices of the absence of any warranty; and give all
recipients a copy of this License along with the Program.
You may charge any price or no price for each copy that you convey,
and you may offer support or warranty protection for a fee.
5. Conveying Modified Source Versions.
You may convey a work based on the Program, or the modifications to
produce it from the Program, in the form of source code under the
terms of section 4, provided that you also meet all of these conditions:
a) The work must carry prominent notices stating that you modified
it, and giving a relevant date.
b) The work must carry prominent notices stating that it is
released under this License and any conditions added under section
7. This requirement modifies the requirement in section 4 to
"keep intact all notices".
c) You must license the entire work, as a whole, under this
License to anyone who comes into possession of a copy. This
License will therefore apply, along with any applicable section 7
additional terms, to the whole of the work, and all its parts,
regardless of how they are packaged. This License gives no
permission to license the work in any other way, but it does not
invalidate such permission if you have separately received it.
d) If the work has interactive user interfaces, each must display
Appropriate Legal Notices; however, if the Program has interactive
interfaces that do not display Appropriate Legal Notices, your
work need not make them do so.
A compilation of a covered work with other separate and independent
works, which are not by their nature extensions of the covered work,
and which are not combined with it such as to form a larger program,
in or on a volume of a storage or distribution medium, is called an
"aggregate" if the compilation and its resulting copyright are not
used to limit the access or legal rights of the compilation's users
beyond what the individual works permit. Inclusion of a covered work
in an aggregate does not cause this License to apply to the other
parts of the aggregate.
6. Conveying Non-Source Forms.
You may convey a covered work in object code form under the terms
of sections 4 and 5, provided that you also convey the
machine-readable Corresponding Source under the terms of this License,
in one of these ways:
a) Convey the object code in, or embodied in, a physical product
(including a physical distribution medium), accompanied by the
Corresponding Source fixed on a durable physical medium
customarily used for software interchange.
b) Convey the object code in, or embodied in, a physical product
(including a physical distribution medium), accompanied by a
written offer, valid for at least three years and valid for as
long as you offer spare parts or customer support for that product
model, to give anyone who possesses the object code either (1) a
copy of the Corresponding Source for all the software in the
product that is covered by this License, on a durable physical
medium customarily used for software interchange, for a price no
more than your reasonable cost of physically performing this
conveying of source, or (2) access to copy the
Corresponding Source from a network server at no charge.
c) Convey individual copies of the object code with a copy of the
written offer to provide the Corresponding Source. This
alternative is allowed only occasionally and noncommercially, and
only if you received the object code with such an offer, in accord
with subsection 6b.
d) Convey the object code by offering access from a designated
place (gratis or for a charge), and offer equivalent access to the
Corresponding Source in the same way through the same place at no
further charge. You need not require recipients to copy the
Corresponding Source along with the object code. If the place to
copy the object code is a network server, the Corresponding Source
may be on a different server (operated by you or a third party)
that supports equivalent copying facilities, provided you maintain
clear directions next to the object code saying where to find the
Corresponding Source. Regardless of what server hosts the
Corresponding Source, you remain obligated to ensure that it is
available for as long as needed to satisfy these requirements.
e) Convey the object code using peer-to-peer transmission, provided
you inform other peers where the object code and Corresponding
Source of the work are being offered to the general public at no
charge under subsection 6d.
A separable portion of the object code, whose source code is excluded
from the Corresponding Source as a System Library, need not be
included in conveying the object code work.
A "User Product" is either (1) a "consumer product", which means any
tangible personal property which is normally used for personal, family,
or household purposes, or (2) anything designed or sold for incorporation
into a dwelling. In determining whether a product is a consumer product,
doubtful cases shall be resolved in favor of coverage. For a particular
product received by a particular user, "normally used" refers to a
typical or common use of that class of product, regardless of the status
of the particular user or of the way in which the particular user
actually uses, or expects or is expected to use, the product. A product
is a consumer product regardless of whether the product has substantial
commercial, industrial or non-consumer uses, unless such uses represent
the only significant mode of use of the product.
"Installation Information" for a User Product means any methods,
procedures, authorization keys, or other information required to install
and execute modified versions of a covered work in that User Product from
a modified version of its Corresponding Source. The information must
suffice to ensure that the continued functioning of the modified object
code is in no case prevented or interfered with solely because
modification has been made.
If you convey an object code work under this section in, or with, or
specifically for use in, a User Product, and the conveying occurs as
part of a transaction in which the right of possession and use of the
User Product is transferred to the recipient in perpetuity or for a
fixed term (regardless of how the transaction is characterized), the
Corresponding Source conveyed under this section must be accompanied
by the Installation Information. But this requirement does not apply
if neither you nor any third party retains the ability to install
modified object code on the User Product (for example, the work has
been installed in ROM).
The requirement to provide Installation Information does not include a
requirement to continue to provide support service, warranty, or updates
for a work that has been modified or installed by the recipient, or for
the User Product in which it has been modified or installed. Access to a
network may be denied when the modification itself materially and
adversely affects the operation of the network or violates the rules and
protocols for communication across the network.
Corresponding Source conveyed, and Installation Information provided,
in accord with this section must be in a format that is publicly
documented (and with an implementation available to the public in
source code form), and must require no special password or key for
unpacking, reading or copying.
7. Additional Terms.
"Additional permissions" are terms that supplement the terms of this
License by making exceptions from one or more of its conditions.
Additional permissions that are applicable to the entire Program shall
be treated as though they were included in this License, to the extent
that they are valid under applicable law. If additional permissions
apply only to part of the Program, that part may be used separately
under those permissions, but the entire Program remains governed by
this License without regard to the additional permissions.
When you convey a copy of a covered work, you may at your option
remove any additional permissions from that copy, or from any part of
it. (Additional permissions may be written to require their own
removal in certain cases when you modify the work.) You may place
additional permissions on material, added by you to a covered work,
for which you have or can give appropriate copyright permission.
Notwithstanding any other provision of this License, for material you
add to a covered work, you may (if authorized by the copyright holders of
that material) supplement the terms of this License with terms:
a) Disclaiming warranty or limiting liability differently from the
terms of sections 15 and 16 of this License; or
b) Requiring preservation of specified reasonable legal notices or
author attributions in that material or in the Appropriate Legal
Notices displayed by works containing it; or
c) Prohibiting misrepresentation of the origin of that material, or
requiring that modified versions of such material be marked in
reasonable ways as different from the original version; or
d) Limiting the use for publicity purposes of names of licensors or
authors of the material; or
e) Declining to grant rights under trademark law for use of some
trade names, trademarks, or service marks; or
f) Requiring indemnification of licensors and authors of that
material by anyone who conveys the material (or modified versions of
it) with contractual assumptions of liability to the recipient, for
any liability that these contractual assumptions directly impose on
those licensors and authors.
All other non-permissive additional terms are considered "further
restrictions" within the meaning of section 10. If the Program as you
received it, or any part of it, contains a notice stating that it is
governed by this License along with a term that is a further
restriction, you may remove that term. If a license document contains
a further restriction but permits relicensing or conveying under this
License, you may add to a covered work material governed by the terms
of that license document, provided that the further restriction does
not survive such relicensing or conveying.
If you add terms to a covered work in accord with this section, you
must place, in the relevant source files, a statement of the
additional terms that apply to those files, or a notice indicating
where to find the applicable terms.
Additional terms, permissive or non-permissive, may be stated in the
form of a separately written license, or stated as exceptions;
the above requirements apply either way.
8. Termination.
You may not propagate or modify a covered work except as expressly
provided under this License. Any attempt otherwise to propagate or
modify it is void, and will automatically terminate your rights under
this License (including any patent licenses granted under the third
paragraph of section 11).
However, if you cease all violation of this License, then your
license from a particular copyright holder is reinstated (a)
provisionally, unless and until the copyright holder explicitly and
finally terminates your license, and (b) permanently, if the copyright
holder fails to notify you of the violation by some reasonable means
prior to 60 days after the cessation.
Moreover, your license from a particular copyright holder is
reinstated permanently if the copyright holder notifies you of the
violation by some reasonable means, this is the first time you have
received notice of violation of this License (for any work) from that
copyright holder, and you cure the violation prior to 30 days after
your receipt of the notice.
Termination of your rights under this section does not terminate the
licenses of parties who have received copies or rights from you under
this License. If your rights have been terminated and not permanently
reinstated, you do not qualify to receive new licenses for the same
material under section 10.
9. Acceptance Not Required for Having Copies.
You are not required to accept this License in order to receive or
run a copy of the Program. Ancillary propagation of a covered work
occurring solely as a consequence of using peer-to-peer transmission
to receive a copy likewise does not require acceptance. However,
nothing other than this License grants you permission to propagate or
modify any covered work. These actions infringe copyright if you do
not accept this License. Therefore, by modifying or propagating a
covered work, you indicate your acceptance of this License to do so.
10. Automatic Licensing of Downstream Recipients.
Each time you convey a covered work, the recipient automatically
receives a license from the original licensors, to run, modify and
propagate that work, subject to this License. You are not responsible
for enforcing compliance by third parties with this License.
An "entity transaction" is a transaction transferring control of an
organization, or substantially all assets of one, or subdividing an
organization, or merging organizations. If propagation of a covered
work results from an entity transaction, each party to that
transaction who receives a copy of the work also receives whatever
licenses to the work the party's predecessor in interest had or could
give under the previous paragraph, plus a right to possession of the
Corresponding Source of the work from the predecessor in interest, if
the predecessor has it or can get it with reasonable efforts.
You may not impose any further restrictions on the exercise of the
rights granted or affirmed under this License. For example, you may
not impose a license fee, royalty, or other charge for exercise of
rights granted under this License, and you may not initiate litigation
(including a cross-claim or counterclaim in a lawsuit) alleging that
any patent claim is infringed by making, using, selling, offering for
sale, or importing the Program or any portion of it.
11. Patents.
A "contributor" is a copyright holder who authorizes use under this
License of the Program or a work on which the Program is based. The
work thus licensed is called the contributor's "contributor version".
A contributor's "essential patent claims" are all patent claims
owned or controlled by the contributor, whether already acquired or
hereafter acquired, that would be infringed by some manner, permitted
by this License, of making, using, or selling its contributor version,
but do not include claims that would be infringed only as a
consequence of further modification of the contributor version. For
purposes of this definition, "control" includes the right to grant
patent sublicenses in a manner consistent with the requirements of
this License.
Each contributor grants you a non-exclusive, worldwide, royalty-free
patent license under the contributor's essential patent claims, to
make, use, sell, offer for sale, import and otherwise run, modify and
propagate the contents of its contributor version.
In the following three paragraphs, a "patent license" is any express
agreement or commitment, however denominated, not to enforce a patent
(such as an express permission to practice a patent or covenant not to
sue for patent infringement). To "grant" such a patent license to a
party means to make such an agreement or commitment not to enforce a
patent against the party.
If you convey a covered work, knowingly relying on a patent license,
and the Corresponding Source of the work is not available for anyone
to copy, free of charge and under the terms of this License, through a
publicly available network server or other readily accessible means,
then you must either (1) cause the Corresponding Source to be so
available, or (2) arrange to deprive yourself of the benefit of the
patent license for this particular work, or (3) arrange, in a manner
consistent with the requirements of this License, to extend the patent
license to downstream recipients. "Knowingly relying" means you have
actual knowledge that, but for the patent license, your conveying the
covered work in a country, or your recipient's use of the covered work
in a country, would infringe one or more identifiable patents in that
country that you have reason to believe are valid.
If, pursuant to or in connection with a single transaction or
arrangement, you convey, or propagate by procuring conveyance of, a
covered work, and grant a patent license to some of the parties
receiving the covered work authorizing them to use, propagate, modify
or convey a specific copy of the covered work, then the patent license
you grant is automatically extended to all recipients of the covered
work and works based on it.
A patent license is "discriminatory" if it does not include within
the scope of its coverage, prohibits the exercise of, or is
conditioned on the non-exercise of one or more of the rights that are
specifically granted under this License. You may not convey a covered
work if you are a party to an arrangement with a third party that is
in the business of distributing software, under which you make payment
to the third party based on the extent of your activity of conveying
the work, and under which the third party grants, to any of the
parties who would receive the covered work from you, a discriminatory
patent license (a) in connection with copies of the covered work
conveyed by you (or copies made from those copies), or (b) primarily
for and in connection with specific products or compilations that
contain the covered work, unless you entered into that arrangement,
or that patent license was granted, prior to 28 March 2007.
Nothing in this License shall be construed as excluding or limiting
any implied license or other defenses to infringement that may
otherwise be available to you under applicable patent law.
12. No Surrender of Others' Freedom.
If conditions are imposed on you (whether by court order, agreement or
otherwise) that contradict the conditions of this License, they do not
excuse you from the conditions of this License. If you cannot convey a
covered work so as to satisfy simultaneously your obligations under this
License and any other pertinent obligations, then as a consequence you may
not convey it at all. For example, if you agree to terms that obligate you
to collect a royalty for further conveying from those to whom you convey
the Program, the only way you could satisfy both those terms and this
License would be to refrain entirely from conveying the Program.
13. Use with the GNU Affero General Public License.
Notwithstanding any other provision of this License, you have
permission to link or combine any covered work with a work licensed
under version 3 of the GNU Affero General Public License into a single
combined work, and to convey the resulting work. The terms of this
License will continue to apply to the part which is the covered work,
but the special requirements of the GNU Affero General Public License,
section 13, concerning interaction through a network will apply to the
combination as such.
14. Revised Versions of this License.
The Free Software Foundation may publish revised and/or new versions of
the GNU General Public License from time to time. Such new versions will
be similar in spirit to the present version, but may differ in detail to
address new problems or concerns.
Each version is given a distinguishing version number. If the
Program specifies that a certain numbered version of the GNU General
Public License "or any later version" applies to it, you have the
option of following the terms and conditions either of that numbered
version or of any later version published by the Free Software
Foundation. If the Program does not specify a version number of the
GNU General Public License, you may choose any version ever published
by the Free Software Foundation.
If the Program specifies that a proxy can decide which future
versions of the GNU General Public License can be used, that proxy's
public statement of acceptance of a version permanently authorizes you
to choose that version for the Program.
Later license versions may give you additional or different
permissions. However, no additional obligations are imposed on any
author or copyright holder as a result of your choosing to follow a
later version.
15. Disclaimer of Warranty.
THERE IS NO WARRANTY FOR THE PROGRAM, TO THE EXTENT PERMITTED BY
APPLICABLE LAW. EXCEPT WHEN OTHERWISE STATED IN WRITING THE COPYRIGHT
HOLDERS AND/OR OTHER PARTIES PROVIDE THE PROGRAM "AS IS" WITHOUT WARRANTY
OF ANY KIND, EITHER EXPRESSED OR IMPLIED, INCLUDING, BUT NOT LIMITED TO,
THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
PURPOSE. THE ENTIRE RISK AS TO THE QUALITY AND PERFORMANCE OF THE PROGRAM
IS WITH YOU. SHOULD THE PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF
ALL NECESSARY SERVICING, REPAIR OR CORRECTION.
16. Limitation of Liability.
IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING
WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MODIFIES AND/OR CONVEYS
THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES, INCLUDING ANY
GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING OUT OF THE
USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED TO LOSS OF
DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY YOU OR THIRD
PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER PROGRAMS),
EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF
SUCH DAMAGES.
17. Interpretation of Sections 15 and 16.
If the disclaimer of warranty and limitation of liability provided
above cannot be given local legal effect according to their terms,
reviewing courts shall apply local law that most closely approximates
an absolute waiver of all civil liability in connection with the
Program, unless a warranty or assumption of liability accompanies a
copy of the Program in return for a fee.
END OF TERMS AND CONDITIONS
How to Apply These Terms to Your New Programs
If you develop a new program, and you want it to be of the greatest
possible use to the public, the best way to achieve this is to make it
free software which everyone can redistribute and change under these terms.
To do so, attach the following notices to the program. It is safest
to attach them to the start of each source file to most effectively
state the exclusion of warranty; and each file should have at least
the "copyright" line and a pointer to where the full notice is found.
Copyright (C)
This program is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program. If not, see .
Also add information on how to contact you by electronic and paper mail.
If the program does terminal interaction, make it output a short
notice like this when it starts in an interactive mode:
Copyright (C)
This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
This is free software, and you are welcome to redistribute it
under certain conditions; type `show c' for details.
The hypothetical commands `show w' and `show c' should show the appropriate
parts of the General Public License. Of course, 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
.
lssa-0.1.4/DESCRIPTION 0000644 0000000 0000000 00000001223 13743165726 012366 0 ustar 00 0000000 0000000 Name: lssa
Version: 0.1.4
Date: 2020-10-18
Author: Ben Lewis
Maintainer: Ben Lewis , John Donoghue
Title: Least squares spectral analysis
Description: A package implementing tools to compute spectral decompositions of
irregularly-spaced time series. Currently includes functions based off the
Lomb-Scargle periodogram and Adolf Mathias' implementation for R and C (see
URLs).
Url: https://octave.sourceforge.io/lssa/
Url2: http://www.jstatsoft.org/v11/i02
Problems: fast implementations, wavelet functions are currently not functional.
Depends: octave (>= 3.6.0)
Autoload: no
License: GPLv3+
lssa-0.1.4/INDEX 0000644 0000000 0000000 00000000601 13743165726 011451 0 ustar 00 0000000 0000000 lssa >> Least Squares Spectral Analysis
Windowing
cubicwgt
Periodogram
lombcoeff lombnormcoeff
Accelerated time-series functions
fastlscomplex
Complex time-series functions
lscomplex
Real time-series functions
lsreal
Correlation
lscorrcoeff
Wavelet Transform
lswaveletcoeff
# lscomplexwavelet lsrealwavelet
## The wavelet functions are unavailable until I can get them working.
lssa-0.1.4/Makefile 0000644 0000000 0000000 00000021757 13743165726 012336 0 ustar 00 0000000 0000000 ## Copyright 2015-2016 Carnë Draug
## Copyright 2015-2016 Oliver Heimlich
## Copyright 2017 Julien Bect
## Copyright 2017 Olaf Till
## Copyright 2018 John Donoghue
##
## Copying and distribution of this file, with or without modification,
## are permitted in any medium without royalty provided the copyright
## notice and this notice are preserved. This file is offered as-is,
## without any warranty.
## Some basic tools (can be overriden using environment variables)
SED ?= sed
TAR ?= tar
GREP ?= grep
CUT ?= cut
TR ?= tr
## Note the use of ':=' (immediate set) and not just '=' (lazy set).
## http://stackoverflow.com/a/448939/1609556
package := $(shell $(GREP) "^Name: " DESCRIPTION | $(CUT) -f2 -d" " | \
$(TR) '[:upper:]' '[:lower:]')
version := $(shell $(GREP) "^Version: " DESCRIPTION | $(CUT) -f2 -d" ")
## These are the paths that will be created for the releases.
target_dir := target
release_dir := $(target_dir)/$(package)-$(version)
release_tarball := $(target_dir)/$(package)-$(version).tar.gz
html_dir := $(target_dir)/$(package)-html
html_tarball := $(target_dir)/$(package)-html.tar.gz
## Using $(realpath ...) avoids problems with symlinks due to bug
## #50994 in Octaves scripts/pkg/private/install.m. But at least the
## release directory above is needed in the relative form, for 'git
## archive --format=tar --prefix=$(release_dir).
real_target_dir := $(realpath .)/$(target_dir)
installation_dir := $(real_target_dir)/.installation
package_list := $(installation_dir)/.octave_packages
install_stamp := $(installation_dir)/.install_stamp
## These can be set by environment variables which allow to easily
## test with different Octave versions.
ifndef OCTAVE
OCTAVE := octave
endif
OCTAVE := $(OCTAVE) --no-gui --silent --norc
MKOCTFILE ?= mkoctfile
## Command used to set permissions before creating tarballs
FIX_PERMISSIONS ?= chmod -R a+rX,u+w,go-w,ug-s
## Detect which VCS is used
vcs := $(if $(wildcard .hg),hg,$(if $(wildcard .git),git,unknown))
ifeq ($(vcs),hg)
release_dir_dep := .hg/dirstate
HG := hg
HG_CMD = $(HG) --config alias.$(1)=$(1) --config defaults.$(1)= $(1)
HG_ID := $(shell $(call HG_CMD,identify) --id | sed -e 's/+//' )
REPO_TIMESTAMP := $(firstword $(shell $(call HG_CMD,log) --rev $(HG_ID) --template '{date|hgdate}'))
endif
ifeq ($(vcs),git)
release_dir_dep := .git/index
GIT := git
REPO_TIMESTAMP := $(firstword $(shell $(GIT) log -n1 --date=unix --format="%ad"))
endif
TAR_REPRODUCIBLE_OPTIONS := --sort=name --mtime="@$(REPO_TIMESTAMP)" --owner=0 --group=0 --numeric-owner
TAR_OPTIONS := --format=ustar $(TAR_REPRODUCIBLE_OPTIONS)
## .PHONY indicates targets that are not filenames
## (https://www.gnu.org/software/make/manual/html_node/Phony-Targets.html)
.PHONY: help
## make will display the command before runnning them. Use @command
## to not display it (makes specially sense for echo).
help:
@echo "Targets:"
@echo " dist - Create $(release_tarball) for release."
@echo " html - Create $(html_tarball) for release."
@echo " release - Create both of the above and show md5sums."
@echo " install - Install the package in $(installation_dir), where it is not visible in a normal Octave session."
@echo " check - Execute package tests."
@echo " doctest - Test the help texts with the doctest package."
@echo " run - Run Octave with the package installed in $(installation_dir) in the path."
@echo " clean - Remove everything made with this Makefile."
##
## Recipes for release tarballs (package + html)
##
.PHONY: release dist html clean-tarballs clean-unpacked-release
## To make a release, build the distribution and html tarballs.
release: dist html
md5sum $(release_tarball) $(html_tarball)
@echo "Upload @ https://sourceforge.net/p/octave/package-releases/new/"
@echo " and note the changeset the release corresponds to"
## dist and html targets are only PHONY/alias targets to the release
## and html tarballs.
dist: $(release_tarball)
html: $(html_tarball)
## An implicit rule with a recipe to build the tarballs correctly.
%.tar.gz: %
$(TAR) -cf - $(TAR_OPTIONS) -C "$(target_dir)/" "$(notdir $<)" | gzip -9n > "$@"
clean-tarballs:
@echo "## Cleaning release tarballs (package + html)..."
-$(RM) $(release_tarball) $(html_tarball)
@echo
## Create the unpacked package.
##
## Notes:
## * having ".hg/dirstate" (or ".git/index") as a prerequesite means it is
## only rebuilt if we are at a different commit.
## * the variable RM usually defaults to "rm -f"
## * having this recipe separate from the one that makes the tarball
## makes it easy to have packages in alternative formats (such as zip)
## * note that if a commands needs to be run in a specific directory,
## the command to "cd" needs to be on the same line. Each line restores
## the original working directory.
$(release_dir): $(release_dir_dep)
-$(RM) -r "$@"
ifeq (${vcs},hg)
hg archive --exclude ".hg*" --type files "$@"
endif
ifeq (${vcs},git)
git archive --format=tar --prefix="$@/" HEAD | $(TAR) -x
$(RM) "$@/.gitignore"
endif
## Don't fall back to run the supposed necessary contents of
## 'bootstrap' here. Users are better off if they provide
## 'bootstrap'. Administrators, checking build reproducibility, can
## put in the missing 'bootstrap' file if they feel they know its
## necessary contents.
ifneq (,$(wildcard src/bootstrap))
cd "$@/src" && ./bootstrap && $(RM) -r "autom4te.cache"
endif
## Uncomment this if your src/Makefile.in has these targets for
## pre-building something for the release (e.g. documentation).
# cd "$@/src" && ./configure && $(MAKE) prebuild && \
# $(MAKE) distclean && $(RM) Makefile
##
${FIX_PERMISSIONS} "$@"
run_in_place = $(OCTAVE) --eval ' pkg ("local_list", "$(package_list)"); ' \
--eval ' pkg ("load", "$(package)"); '
# html_options = --eval 'options = get_html_options ("octave-forge");'
## Uncomment this for package documentation.
##html_options = --eval 'options = get_html_options ("octave-forge");' \
## --eval 'options.package_doc = "$(package).texi";'
html_options = --eval 'options = get_html_options ("octave-forge");'
$(html_dir): $(install_stamp)
$(RM) -r "$@";
$(run_in_place) \
--eval ' pkg load generate_html; ' \
$(html_options) \
--eval ' generate_package_html ("$(package)", "$@", options); ';
$(FIX_PERMISSIONS) "$@";
clean-unpacked-release:
@echo "## Cleaning unpacked release tarballs (package + html)..."
-$(RM) -r $(release_dir) $(html_dir)
@echo
##
## Recipes for installing the package.
##
.PHONY: install clean-install
octave_install_commands = \
' llist_path = pkg ("local_list"); \
mkdir ("$(installation_dir)"); \
load (llist_path); \
local_packages(cellfun (@ (x) strcmp ("$(package)", x.name), local_packages)) = []; \
save ("$(package_list)", "local_packages"); \
pkg ("local_list", "$(package_list)"); \
pkg ("prefix", "$(installation_dir)", "$(installation_dir)"); \
pkg ("install", "-local", "-verbose", "$(release_tarball)"); '
## Install unconditionally. Maybe useful for testing installation with
## different versions of Octave.
install: $(release_tarball)
@echo "Installing package under $(installation_dir) ..."
$(OCTAVE) --eval $(octave_install_commands)
touch $(install_stamp)
## Install only if installation (under target/...) is not current.
$(install_stamp): $(release_tarball)
@echo "Installing package under $(installation_dir) ..."
$(OCTAVE) --eval $(octave_install_commands)
touch $(install_stamp)
clean-install:
@echo "## Cleaning installation under $(installation_dir) ..."
-$(RM) -r $(installation_dir)
@echo
##
## Recipes for testing purposes
##
.PHONY: run doctest check
## Start an Octave session with the package directories on the path for
## interactice test of development sources.
run: $(install_stamp)
$(run_in_place) --persist
## Test example blocks in the documentation. Needs doctest package
## https://octave.sourceforge.io/doctest/index.html
doctest: $(install_stamp)
$(run_in_place) --eval 'pkg load doctest;' \
--eval "targets = pkg('list', '$(package)'){1}.dir;" \
--eval "doctest (targets);"
## Test package.
octave_test_commands = \
' pkgs = pkg("list", "$(package)"); \
dirs = {pkgs{1}.dir}; \
__run_test_suite__ (dirs, {}); '
## the following works, too, but provides no overall summary output as
## __run_test_suite__ does:
##
## else cellfun (@runtests, horzcat (cellfun (@ (dir) ostrsplit (([~, dirs] = system (sprintf ("find %s -type d", dir))), "\n\r", true), dirs, "UniformOutput", false){:})); endif '
check: $(install_stamp)
$(run_in_place) --eval $(octave_test_commands)
clean-check:
@echo "## Removing fntests.log..."
-$(RM) $(target_dir)/fntests.log
@echo
##
## CLEAN
##
.PHONY: clean
clean: clean-tarballs clean-unpacked-release clean-install clean-check
@echo "## Removing target directory (if empty)..."
-rmdir $(target_dir)
@echo
@echo "## Cleaning done"
@echo
lssa-0.1.4/NEWS 0000644 0000000 0000000 00000003615 13743165726 011366 0 ustar 00 0000000 0000000 Summary of changes in lssa 0.1.4:
** Code updates to support install in Octave 6.0
Summary of changes in lssa 0.1.3:
** Mark fastlscomplex BIT as a known failure (Bug #53963)
** Update package with maintainer makefile
** Code updates to support install in Octave 4.4
Summary of changes in lssa 0.1.2:
** All functions now have input checks in place to return useful errors as
opposed to division by zero, etc. Documentation has also been improved.
Summary of status of the intial lssa release, 0.1.1:
Current status:
** lscomplex and lsreal both produce accurate results; they can be slow for
very large datasets.
** fastlscomplex is accurate for the first octave of results; there is still an
error I need to pin down in the merging for additional octaves. fastlsreal
is disabled at the moment as I move to an implementation based on the new
fastlscomplex.
** lscorrcoeff works, although I'm still attempting to understand the initial
author's reasoning. Its generated results are relevant to any given data
set, but it does not appear to be normalized to any great extent.
** There are two wavelet functions under development, but they are not included
in this release as they are currently not functional. For all your wavelet
needs, the specific transformation used is available in the lswaveletcoeff
function, and will generate a single cosine/sine magnitude pair (as a
complex number) for a complex-valued series (this function may be joined by
a companion for real-valued series) and can be looped to simulate a full
wavelet transform.
** For all the working functions, tests have been written and formatted to
Octave coding standards. These tests should pass on any given architecture
(there was some question about that previously) and often provide examples
of how the function operates. For a few functions, there are demo scripts.
lssa-0.1.4/ONEWS 0000644 0000000 0000000 00000002662 13743165726 011506 0 ustar 00 0000000 0000000 Welcome to the first release of lssa, 0.1.1
Current status:
** lscomplex and lsreal both produce accurate results; they can be slow for
very large datasets.
** fastlscomplex is accurate for the first octave of results; there is still an
error I need to pin down in the merging for additional octaves. fastlsreal
is disabled at the moment as I move to an implementation based on the new
fastlscomplex.
** lscorrcoeff works, although I'm still attempting to understand the initial
author's reasoning. Its generated results are relevant to any given data
set, but it does not appear to be normalized to any great extent.
** There are two wavelet functions under development, but they are not included
in this release as they are currently not functional. For all your wavelet
needs, the specific transformation used is available in the lswaveletcoeff
function, and will generate a single cosine/sine magnitude pair (as a
complex number) for a complex-valued series (this function may be joined by
a companion for real-valued series) and can be looped to simulate a full
wavelet transform.
** For all the working functions, tests have been written and formatted to
Octave coding standards. These tests should pass on any given architecture
(there was some question about that previously) and often provide examples
of how the function operates. For a few functions, there are demo scripts.
lssa-0.1.4/data/ 0000755 0000000 0000000 00000000000 13743165726 011573 5 ustar 00 0000000 0000000 lssa-0.1.4/data/ch4.csv 0000644 0000000 0000000 00000025346 13743165726 013000 0 ustar 00 0000000 0000000 149.2,5683,2347,668
173.1,6828,3634,636
177.4,7043,3833,595
228.7,9528,6225,588
236.4,9901,6614,574
266,11334,8113,616
303.8,13526,10189,667
321.2,14538,11013,621
325,14775,11143,511
331.7,15215,11329,477
342.1,15922,11719,501
356,16974,12626,662
365.6,17755,13412,610
366.2,17803,13457,642
381.7,19089,14241,445
426.3,22829,16417,395
443.5,24315,17695,363
458.3,25557,18950,349
471,26595,20004,379
491.3,28356,21636,348
506.4,29630,22977,406
507.4,29716,23059,339
510.2,29967,23392,371
513.6,30250,23714,377
517.6,30591,24146,403
519.7,30761,24327,403
522.5,30998,24643,340
522.6,31011,24654,360
522.7,31020,24662,381
525.6,31266,24875,358
528.2,31487,25073,392
532.2,31828,25423,377
532.4,31845,25440,381
532.4,31845,25440,379
535,32058,25684,360
540,32465,25999,363
541.5,32583,26099,382
541.5,32583,26099,386
545.2,32887,26336,387
547,33042,26471,412
549.4,33240,26672,426
552,33461,26884,418
554.2,33646,27064,448
556.5,33833,27342,464
560.2,34136,27702,435
562.5,34318,27951,416
563.1,34371,28016,403
565.2,34530,28195,382
569.2,34832,28551,396
571.4,34985,28743,425
574.3,35210,28943,435
577.8,35464,29130,436
581.8,35766,29410,421
582.8,35839,29493,416
583.3,35876,29542,429
589.2,36346,30175,481
591.7,36558,30385,489
593.8,36729,30591,482
599.1,37157,31088,394
602.6,37444,31479,429
609.7,38013,32176,469
612,38203,32384,505
615.5,38491,32715,548
617.7,38678,32952,532
619.5,38826,33161,520
622.2,39039,33474,530
625.1,39268,33823,509
627.6,39464,34108,500
627.6,39464,34108,483
629.2,39593,34285,484
633.4,39917,34644,418
635.1,40060,34784,403
639.5,40424,35038,459
641.3,40573,35163,414
644.6,40841,35387,375
648,41112,35573,423
649.2,41209,35645,443
653.8,41551,35883,431
664.1,42305,36641,484
682,43702,38109,520
683,43785,38201,493
694.6,44764,39388,424
699.5,45181,39828,448
706.1,45770,40626,537
712.9,46360,41358,522
724.8,47360,42131,441
748.3,49296,43546,419
765.3,50634,44788,402
788.2,52446,47024,466
812,54457,49398,504
834.8,56300,51174,480
860.6,58258,52870,514
885.3,60288,55564,528
911.4,62633,57737,442
937.3,65016,59604,411
962.4,67405,61582,414
986.3,69627,63694,415
1011.3,71767,65701,434
1037.5,74017,68495,424
1062.2,76023,71014,458
1087.2,78042,72849,430
1112.6,80064,75367,462
1137.7,81921,76875,402
1162.1,83615,78995,438
1186.5,85262,81122,497
1209.7,86826,82843,545
1237.2,88808,84929,594
1261.2,90609,86323,529
1289.2,92632,88051,425
1309.2,94039,89363,417
1338.2,96047,91691,454
1363.7,97841,93660,443
1387.2,99498,95349,406
1413,101234,96900,407
1442.8,103125,99067,476
1451.4,103726,99833,480
1463.3,104574,100842,521
1476.1,105492,101829,493
1505,107599,103372,559
1526.2,109395,105204,591
1532,109872,105675,564
1542.1,110674,106203,437
1557.4,111923,107007,451
1582.8,113952,108994,468
1614.8,116215,111442,448
1627.7,117059,112559,443
1630.3,117221,112793,463
1637.7,117677,113479,505
1638.8,117747,113574,483
1643.4,118037,114031,497
1649,118376,114508,511
1654.5,118705,115060,485
1658.6,118958,115401,503
1664.5,119314,115768,520
1667.6,119504,116037,550
1669.5,119620,116200,531
1671.3,119728,116353,548
1674.2,119907,116605,575
1680,120259,117052,541
1684.5,120528,117342,555
1686.2,120623,117446,572
1688.4,120749,117589,590
1694,121079,117964,560
1694.6,121116,118010,573
1697.7,121296,118205,575
1704.7,121710,118631,563
1708.8,121941,118853,559
1714.2,122245,119164,589
1716,122345,119273,573
1719.4,122538,119499,584
1722.6,122718,119704,591
1731.2,123222,120320,603
1735.2,123443,120571,601
1736.8,123535,120652,578
1739,123658,120765,606
1744.3,123953,121090,592
1751.5,124348,121561,598
1754.3,124505,121752,594
1759.4,124787,122020,618
1765.5,125136,122367,592
1768.5,125298,122528,594
1770,125380,122606,600
1775.7,125692,122968,598
1780,125933,123279,604
1783.1,126109,123445,601
1786.8,126316,123677,622
1789.2,126447,123815,602
1789.4,126458,123826,630
1794.2,126710,124077,618
1797.8,126893,124244,619
1804.5,127236,124597,610
1814.8,127750,125176,649
1818.4,127930,125354,645
1819.6,127992,125424,623
1820.4,128032,125468,677
1824.6,128239,125679,672
1831,128549,126093,633
1832.3,128614,126200,644
1834.2,128712,126343,644
1834.7,128738,126380,636
1838.5,128932,126652,632
1844.8,129266,127008,638
1848.4,129450,127214,655
1852.3,129669,127440,666
1853.9,129752,127526,683
1857.4,129937,127716,653
1860.6,130111,127890,687
1863.8,130286,128080,708
1869.4,130605,128364,710
1870.2,130653,128399,699
1874.4,130904,128576,700
1875.5,130973,128632,704
1878.8,131178,128812,676
1883.3,131459,129062,552
1884.2,131519,129125,565
1888.6,131813,129348,540
1893.4,132149,129675,560
1897.9,132470,129898,524
1903.6,132880,130172,542
1910.9,133444,130549,492
1921.5,134310,131146,477
1922.3,134383,131195,491
1932.1,135318,131795,453
1954.6,137611,133340,431
1969.9,139296,134211,399
1980.2,140452,135003,352
1987.4,141257,135683,357
1994.7,142075,136367,374
1998,142440,136659,377
2005.9,143326,137393,348
2009.4,143720,137686,339
2016.4,144496,138408,318
2030.9,146122,140072,319
2042.5,147403,141422,345
2063.7,149756,143980,355
2088.6,152467,146784,356
2102.4,154026,148566,400
2109,154786,149406,418
2116,155625,150303,410
2119,155987,150633,376
2127.2,156981,151441,395
2137.1,158157,152562,445
2143,158819,153173,414
2153.4,159908,154129,382
2164,161077,155299,377
2167.2,161450,155706,406
2177.3,162574,157299,403
2180.4,162912,157806,381
2196.4,164820,159791,376
2225,168391,162996,405
2247,170922,165278,420
2273,174105,169266,478
2302,177644,172596,456
2312.3,179000,174189,402
2325,180546,175440,468
2348,183525,178550,503
2363,185640,180779,522
2373,187067,181718,464
2386,188892,183355,470
2399,190587,185063,510
2414,192382,187199,445
2425,193816,189335,440
2437,195298,191057,414
2475,199904,195625,460
2501,202717,199292,558
2525,205458,202212,612
2543,207803,204283,482
2552,208947,205148,425
2554.9,209310,205439,421
2557.7,209648,205715,413
2560.9,210056,206122,436
2564.9,210526,206675,466
2567.5,210840,207033,463
2570.4,211178,207418,455
2574.2,211628,207991,496
2575.5,211784,208183,475
2579.9,212295,208796,476
2581.9,212531,209078,485
2584.7,212846,209414,515
2588.5,213282,209975,473
2590.4,213503,210237,498
2595.1,214036,210830,567
2596.7,214219,211005,503
2600.4,214642,211481,509
2603.7,215011,211929,586
2606.6,215343,212281,551
2609.7,215685,212662,554
2612.5,216019,213010,545
2615.5,216377,213385,569
2621.7,217099,214153,581
2629,217944,214996,558
2633.5,218492,215504,568
2636.7,218908,215879,586
2639.5,219276,216310,544
2643.7,219835,216923,557
2646.4,220230,217253,541
2649.4,220678,217577,483
2656.2,221718,218342,440
2659.5,222273,218767,436
2666.7,223548,219680,476
2669.4,224060,220047,473
2674.6,224993,220760,498
2676.9,225380,220997,480
2682.6,226339,221612,482
2691,227885,222958,494
2693.6,228349,223446,532
2698,229167,224630,532
2700.5,229641,225136,512
2702.9,230076,225535,506
2705.6,230547,225888,497
2707.9,230945,226213,483
2711.8,231619,226726,484
2714.7,232092,227224,476
2717.7,232571,227840,445
2732.5,234771,230668,439
2735.7,235233,231383,460
2738.7,235652,231990,495
2741.9,236109,232615,502
2744.8,236498,233139,514
2747.6,236866,233646,541
2751.1,237301,234126,540
2753.6,237602,234470,550
2756.2,237889,234781,540
2759.2,238213,235222,554
2765.2,238907,236234,582
2771.2,239672,237466,619
2773.5,240010,237834,631
2776.5,240465,238199,650
2780,241055,238623,500
2782.8,241549,238943,554
2785.5,242091,239249,538
2788.5,242675,239545,522
2794.6,243821,240205,498
2797.5,244444,240576,484
2800.5,245091,240966,470
2806.5,246378,242067,509
2815.6,248369,243657,402
2818.5,249027,244198,437
2821.5,249668,244861,401
2824.5,250307,245481,380
2830.4,251542,246709,405
2833.8,252268,247436,399
2836.5,252876,248083,424
2839.5,253557,248977,447
2842.4,254218,249751,465
2845.5,254871,250460,467
2851.5,256180,251519,421
2854.4,256860,252183,410
2857.5,257602,252957,511
2860.5,258358,253889,486
2866.5,259879,255230,398
2870.4,260916,256038,408
2872.7,261510,256489,385
2876.2,262453,257245,402
2881.5,263865,258495,457
2884.5,264663,259226,445
2887.5,265454,259956,426
2890.5,266260,260759,448
2893.5,267040,261596,454
2896.4,267804,262388,448
2899.5,268556,263204,441
2902.5,269304,264042,442
2905.5,270050,264831,443
2911.4,271448,266485,417
2914.5,272177,267443,453
2917.5,272836,268273,429
2919.4,273254,268677,441
2926.5,274800,270677,484
2935.5,276729,273010,472
2941.5,278016,274443,508
2944.5,278704,275209,516
2951.2,280356,276867,522
2956.5,281738,277924,430
2964.5,283807,279541,430
2973.9,286496,282325,507
2979.5,288010,283491,464
2988.6,290551,286214,482
2994.5,292129,287852,522
2997.5,292853,288492,454
3000.4,293619,289444,433
3003.5,294493,290568,438
3009.5,296156,292472,475
3015.6,297835,293700,429
3018.5,298620,294611,468
3021.5,299407,295514,464
3027.7,300970,297181,460
3030.4,301671,298058,487
3033.5,302450,299016,486
3036.5,303199,299875,511
3039.5,303931,300639,545
3042.5,304738,301489,539
3045.5,305609,302452,603
3048.5,306552,303328,568
3051.5,307461,303951,588
3054.5,308352,304584,435
3057.7,309277,305303,443
3060.5,310076,306088,457
3063.5,310900,307124,478
3066.5,311701,308097,478
3072.5,313289,310035,488
3075.6,314077,310980,522
3078.5,314816,311769,570
3081.6,315590,312666,561
3084.6,316319,313510,589
3087.8,317098,314366,624
3090.5,317773,315139,620
3093.5,318507,315937,621
3096.4,319224,316674,639
3099.5,319976,317442,627
3102.5,320731,318261,637
3105.5,321446,318978,639
3109.5,322330,319871,636
3111.5,322753,320388,604
3114.8,323439,321383,604
3117.5,324019,322109,647
3119.7,324496,322618,665
3120.6,324718,322833,731
3123.5,325403,323488,773
3126.5,326197,324186,575
3129.9,327237,324991,581
3132.4,328055,325525,588
3135.5,329132,326236,558
3138.5,330287,327121,537
3141.5,331496,328084,517
3145,333066,329234,471
3147.5,334351,330204,451
3153.5,337299,332289,458
3156.5,338745,333600,371
3159.5,340342,335404,383
3162.8,341844,336967,342
3165.5,343109,338273,369
3169,344841,340163,422
3171.5,346049,341572,397
3174.5,347584,342993,442
3177.8,349293,344729,406
3180.5,350757,346095,384
3183.4,352372,347604,398
3186.5,354121,349160,391
3189.5,355789,350759,386
3192.5,357445,352406,392
3195.7,359181,354326,384
3199,360896,356202,399
3200,361445,356838,399
3201.4,362204,357728,396
3204.7,363957,359682,454
3207.5,365473,361167,422
3210.6,367094,362814,386
3213.7,368664,364471,397
3216.5,370069,366191,432
3219.5,371827,368105,463
3222.5,373615,369552,517
3225.5,375314,370919,405
3228.9,377171,373007,432
3231.5,378475,374567,482
3237.5,381820,378183,521
3240.5,383388,379625,445
3243.5,384986,381612,516
3246.5,386818,383527,542
3249.5,388758,384910,578
3252.5,390609,386543,567
3255.5,392628,388652,544
3258.5,394611,390567,439
3261.5,396400,392427,448
3264.5,398086,394620,478
3267.5,399720,396698,550
3270.6,401444,398575,574
3273.8,403146,400362,566
3276.5,404597,401860,598
3280.5,406690,404164,600
3283.5,408217,405823,672
3286.5,409724,407442,634
3289.5,411177,408995,644
3292.8,412968,410793,623
3295.5,414399,412182,626
3299,416327,414080,653
3301.4,417656,415452,678
3304.4,419336,417173,695
0,0,0,0
lssa-0.1.4/data/co2.csv 0000644 0000000 0000000 00000016555 13743165726 013007 0 ustar 00 0000000 0000000 149.1,5679,2342,284.7
173.1,6828,3634,272.8
177.4,7043,3833,268.1
228.6,9523,6220,262.2
250.3,10579,7327,254.6
266,11334,8113,259.6
302.6,13449,10123,261.6
321.2,14538,11013,263.7
331.6,15208,11326,244.8
342.1,15922,11719,238.3
365.5,17747,13405,236.2
375.6,18580,13989,225.3
443.5,24315,17695,182.2
470.8,26578,19988,189.2
506.4,29630,22977,191.6
544.7,32844,26303,188.5
554.2,33645,27062,191.7
602.3,37421,31447,205.4
625.6,39310,33884,209.1
700.2,45242,39880,209.1
765,50610,44766,189.3
788.2,52446,47024,188.4
800,53436,48229,210.1
812.2,54474,49414,215.7
834.8,56300,51174,190.4
902.2,61783,57068,221.8
912,62689,57799,210.4
986.2,69618,63687,195.4
1011.3,71767,65701,191.4
1023.5,72797,66883,195
1087.2,78042,72849,227.4
1112.5,80057,75360,229.2
1162.1,83615,78995,217.1
1175,84515,80059,221.8
1209.9,86840,82858,231
1237.2,88808,84929,241.1
1251.5,89864,85727,236.4
1261.2,90609,86323,228.1
1274.2,91560,87180,214.2
1289.2,92632,88051,217
1309.2,94039,89363,208
1338.2,96047,91691,224.3
1349,96791,92460,228.4
1387.2,99498,95349,232.1
1451.5,103733,99842,225.9
1463.2,104566,100833,230.9
1476.1,105492,101829,236.9
1505,107599,103372,228.2
1526.3,109404,105213,236.9
1542.1,110674,106203,230.7
1575.2,113363,108308,238.2
1582.8,113952,108994,245.7
1598,115077,110253,251.3
1615,116228,111456,256.8
1627.9,117072,112577,266.3
1637.6,117671,113472,261.4
1644,118074,114082,274.6
1651,118499,114738,273.3
1669.2,119601,116175,262.5
1687.2,120680,117519,267.6
1700.9,121485,118396,273.8
1716,122345,119273,272
1726.8,122965,120002,265.2
1736.8,123535,120652,277.7
1758.2,124721,121961,272.2
1770,125380,122606,276.5
1789.2,126447,123815,268.7
1790,126491,123858,266.6
1799,126955,124306,266.3
1804,127210,124571,279.8
1810,127510,124876,277.2
1825.7,128293,125746,273.8
1830,128501,126023,267.1
1836,128804,126475,262.5
1841.6,129097,126809,262.6
1852.4,129674,127445,275.4
1869.3,130599,128300,274.1
1870.2,130653,128399,287.1
1875.9,130998,128652,286.8
1882.5,131406,129007,282.7
1890,131908,129411,264.1
1895,132264,129755,263.4
1903.5,132873,130167,259
1932,135308,131789,240.4
1954.5,137601,133334,224
1969.8,139285,134205,208.9
1980.2,140452,135003,204.6
1987.4,141257,135683,198.1
1990.6,141615,135976,201.8
1994.6,142064,136359,202.5
1998,142440,136659,195.9
2005.8,143315,137383,194.4
2009.5,143732,137694,193.4
2015,144346,138226,190.2
2025.7,145527,139445,192.3
2041.5,147292,141312,196.5
2050.3,148287,142357,190.4
2077.5,151234,145435,197
2116,155625,150303,191.9
2157,160293,154471,189
2164,161077,155299,185.5
2203,165646,160494,204.4
2225,168391,162996,191.6
2247,170922,165278,183.8
2280,174920,169870,197.9
2302,177644,172596,197.8
2325,180546,175440,190.3
2333,181502,176271,190.1
2348,183525,178550,207.7
2363,185640,180779,213.2
2372,186927,181617,217.7
2386,188892,183355,199.8
2399,190587,185063,203.5
2414,192382,187199,210.7
2425,193816,189335,231.4
2437,195298,191057,231.5
2451,197086,192632,218
2475,199904,195625,220.1
2499,202496,199025,242.6
2525,205458,202212,251
2533,206496,203191,239.1
2543,207803,204283,247.7
2552.01,208947,205148,244.4
2557.71,209648,205715,232.2
2560.91,210053,206119,228.7
2574.21,211628,207991,238.2
2584.71,212846,209414,242.2
2588.81,213315,210022,244.6
2595.11,214036,210830,247.3
2596.71,214219,211005,252
2606.61,215343,212281,257.4
2621.71,217099,214153,251.2
2629.41,217989,215041,241.4
2634.41,218602,215593,240.3
2636.71,218908,215879,242.7
2640.41,219393,216459,247.5
2644.41,219935,217009,251.7
2646.61,220255,217271,251.2
2650.41,220822,217676,245.4
2656.21,221718,218342,240.5
2666.71,223548,219680,212.2
2670.41,224240,220182,216.2
2674.61,224993,220760,207.2
2677.41,225469,221054,208.9
2682.61,226339,221612,205.7
2691.01,227885,222958,203.4
2693.61,228349,223446,215.7
2698.01,229167,224630,236.9
2701.41,229802,225299,234.5
2702.71,230039,225509,233.1
2705.61,230547,225888,224.5
2711.71,231601,226710,232.4
2715.41,232206,227384,233.9
2717.71,232571,227840,241.7
2732.71,234795,230703,245.2
2735.71,235232,231382,252.2
2738.71,235652,231990,241.4
2741.71,236077,232570,247.4
2744.61,236467,233102,243.1
2747.61,236866,233646,239.2
2751.11,237301,234126,245.7
2753.61,237602,234470,245.9
2756.21,237889,234781,247.4
2759.11,238206,235213,252.9
2765.21,238908,236236,259.8
2773.51,240006,237831,279
2782.71,241535,238935,263.8
2785.51,242092,239250,252.4
2788.51,242675,239545,249.9
2794.51,243813,240201,230.4
2797.51,244446,240577,219.4
2806.51,246379,242068,214.7
2815.61,248364,243653,200.2
2818.61,249046,244215,213.9
2821.51,249670,244863,195.4
2824.51,250309,245483,196.7
2833.81,252279,247447,199
2836.51,252879,248087,201.9
2839.51,253559,248980,204
2845.51,254873,250461,203.9
2851.51,256182,251521,209.7
2857.51,257604,252959,208.9
2860.51,258351,253880,214.7
2866.51,259882,255233,228.2
2870.51,260936,256053,199.9
2872.71,261526,256501,211.7
2876.21,262455,257247,188.7
2881.42,263844,258477,194.2
2884.51,264666,259228,198.9
2887.51,265457,259958,184.7
2890.51,266255,260754,190.4
2893.51,267039,261595,193.9
2896.51,267825,262411,194.2
2899.51,268558,263207,198.4
2902.51,269307,264046,193.2
2905.51,270052,264834,202.2
2911.46,271454,266492,211
2914.51,272171,267434,215.4
2919.41,273256,268679,223.7
2926.51,274802,270680,231.4
2935.51,276731,273012,226.4
2941.51,278017,274445,230.4
2944.51,278711,275218,231
2956.51,281740,277925,220.4
2959.51,282539,278602,217.2
2964.51,283810,279543,207.7
2973.81,286475,282301,212.7
2979.51,288013,283492,213.2
2988.61,290554,286217,224.4
2994.51,292121,287846,236.2
3003.51,294495,290571,240.2
3007.01,295477,291769,240.7
3009.51,296158,292474,250.2
3015.51,297810,293676,244.9
3018.51,298623,294615,225.9
3022.71,299716,295849,227.9
3027.51,300928,297131,233.2
3030.41,301665,298051,237.9
3033.51,302452,299020,239
3036.51,303201,299877,241.9
3039.51,303939,300646,251.7
3042.51,304745,301496,256.8
3045.51,305612,302456,257.2
3048.56,306561,303334,246.9
3051.51,307464,303953,272.7
3054.51,308358,304590,251.7
3057.71,309281,305306,244.7
3063.51,310905,307131,255.9
3066.51,311704,308101,249.2
3072.51,313292,310039,256.3
3075.41,314032,310930,260.4
3078.51,314822,311774,260.3
3084.51,316304,313493,266.3
3090.51,317775,315143,266.2
3093.51,318509,315940,270.2
3096.46,319231,316681,271.9
3099.51,319978,317445,275.2
3105.51,321448,318980,265
3109.01,322216,319754,271.8
3111.51,322746,320378,272.7
3114.81,323441,321386,273.2
3117.51,324021,322111,282.4
3119.51,324461,322582,289.2
3120.61,324711,322827,288.4
3123.51,325400,323485,298.7
3126.51,326200,324189,278.2
3129.91,327237,324991,285.8
3132.41,328058,325527,278.7
3135.51,329135,326239,270.5
3138.51,330278,327114,255.7
3141.51,331513,328097,241.9
3145.01,333111,329267,239.7
3147.51,334356,330208,234.2
3153.51,337304,332293,250.2
3156.51,338770,333627,200.7
3159.51,340242,335290,205.2
3162.81,341849,336972,204.9
3169.01,344844,340165,220.4
3174.51,347589,342998,221.2
3177.81,349298,344735,216.2
3183.41,352377,347610,209.2
3189.51,355795,350765,193
3192.51,357450,352412,186.2
3200.01,361445,356838,201.2
3204.71,363962,359688,206.4
3210.51,367048,362766,201.9
3216.45,370095,366221,214.7
3222.51,373629,369563,229.7
3228.91,377177,373014,227
3231.51,378469,374561,240
3237.51,381834,378194,246.9
3240.51,383395,379633,245.9
3249.51,388757,384909,264.7
3252.45,390641,386579,259.3
3258.51,394634,390589,255.2
3261.51,396423,392451,250.2
3264.51,398091,394628,266.3
3267.51,399733,396713,274.7
3273.81,403173,400390,278
3283.51,408236,405844,279.7
3289.45,411202,409022,283.7
3292.91,413010,410831,276.3
3299.01,416332,414085,285.5
lssa-0.1.4/data/deut.csv 0000644 0000000 0000000 00000234411 13743165726 013256 0 ustar 00 0000000 0000000 0,0,-438,0
1,17,-438,0
2,35,-438,0
3,53,-438,0
4,72,-438,0
5,91,-438,0
6,110,-438,0
7,129,-438,0
8,149,-442.9,-0.8100000000000001
9,170,-437.9,0.02
10,190,-435.8,0.36
11,211,-443.7,-0.95
12,234,-449.1,-1.84
13,258,-444.6,-1.09
14,281,-442.5,-0.75
15,304,-439.3,-0.22
16,327,-440.9,-0.48
17,351,-442.5,-0.75
18,375,-436.6,0.23
19,397,-430,1.33
20,420,-435.9,0.35
21,444,-436.9,0.18
22,469,-438.5,-0.08
23,495,-444.5,-1.08
24,523,-446.4,-1.39
25,552,-447.7,-1.61
26,581,-443.4,-0.9
27,609,-441.6,-0.6
28,637,-438.1,-0.02
29,665,-439.1,-0.18
30,695,-445.4,-1.23
31,726,-447.3,-1.54
32,757,-443.1,-0.85
33,788,-438.6,-0.1
34,817,-439,-0.17
35,848,-442.7,-0.78
36,881,-442.7,-0.78
37,912,-439,-0.17
38,944,-439.5,-0.25
39,976,-439.7,-0.28
40,1009,-442.9,-0.8100000000000001
41,1042,-438.3,-0.05
42,1074,-436.4,0.27
43,1107,-443,-0.83
44,1142,-441.9,-0.65
45,1176,-439.6,-0.27
46,1211,-441.9,-0.65
47,1247,-446.9,-1.48
48,1285,-447.9,-1.64
49,1321,-440.4,-0.4
50,1356,-436,0.33
51,1390,-438.3,-0.05
52,1426,-438.8,-0.13
53,1461,-438.2,-0.03
54,1497,-440.8,-0.46
55,1535,-444,-1
56,1573,-443.8,-0.96
57,1612,-446,-1.33
58,1652,-447.1,-1.51
59,1692,-443.3,-0.88
60,1732,-444.4,-1.06
61,1772,-445.3,-1.21
62,1812,-445.5,-1.24
63,1853,-443.8,-0.96
64,1893,-441.2,-0.53
65,1931,-437.1,0.15
66,1970,-439.7,-0.28
67,2009,-440.7,-0.45
68,2049,-440.3,-0.38
69,2089,-441.2,-0.53
70,2129,-441.7,-0.61
71,2171,-443.7,-0.95
72,2212,-442.4,-0.73
73,2253,-437.3,0.12
74,2291,-431,1.16
75,2331,-443.9,-0.98
76,2374,-446.7,-1.44
77,2418,-442.4,-0.73
78,2460,-441.8,-0.63
79,2501,-436.2,0.3
80,2542,-439.6,-0.27
81,2585,-446.2,-1.36
82,2628,-439,-0.17
83,2670,-438.1,-0.02
84,2713,-445.2,-1.19
85,2760,-449.9,-1.97
86,2805,-441.7,-0.61
87,2847,-434.5,0.58
88,2889,-440.3,-0.38
89,2934,-446.1,-1.34
90,2980,-446.5,-1.41
91,3026,-442.4,-0.73
92,3070,-439.5,-0.25
93,3114,-441.2,-0.53
94,3158,-438.5,-0.08
95,3201,-437.1,0.15
96,3245,-440.6,-0.43
97,3289,-441.7,-0.61
98,3334,-439.8,-0.3
99,3379,-438.8,-0.13
100,3422,-436.7,0.22
101,3466,-437,0.17
102,3511,-443.5,-0.91
103,3558,-443.4,-0.9
104,3603,-436.2,0.3
105,3646,-434.1,0.65
106,3689,-434.5,0.58
107,3732,-437.8,0.03
108,3778,-441.8,-0.63
109,3824,-440.8,-0.46
110,3870,-438,0
111,3915,-439.4,-0.23
112,3962,-442,-0.66
113,4009,-442.4,-0.73
114,4057,-442.5,-0.75
115,4104,-443.5,-0.91
116,4153,-444.6,-1.09
117,4202,-444,-1
118,4250,-441.2,-0.53
119,4295,-434.7,0.55
120,4339,-431.2,1.13
121,4381,-431.2,1.13
122,4423,-431.2,1.13
123,4466,-431.2,1.13
124,4509,-431.2,1.13
125,4552,-432.7,0.88
126,4596,-436.8,0.2
127,4642,-440,-0.33
128,4690,-443.3,-0.88
129,4739,-441.5,-0.58
130,4786,-436.5,0.25
131,4831,-438,0
132,4880,-444.9,-1.14
133,4929,-442,-0.66
134,4977,-440.2,-0.36
135,5025,-442,-0.66
136,5072,-437.2,0.13
137,5118,-436.9,0.18
138,5165,-440.3,-0.38
139,5212,-439.3,-0.22
140,5259,-436.3,0.28
141,5305,-437.4,0.1
142,5351,-437.5,0.08
143,5397,-435,0.5
144,5442,-435,0.5
145,5488,-436.8,0.2
146,5534,-437.9,0.02
147,5581,-437.5,0.08
148,5627,-437.8,0.03
149,5674,-438.37,-0.06
150,5721,-438.93,-0.15
151,5769,-439.5,-0.25
152,5816,-439.3,-0.22
153,5863,-437.1,0.15
154,5909,-435.3,0.45
155,5955,-438.8,-0.13
156,6004,-442.4,-0.73
157,6052,-439.25,-0.21
158,6099,-436.1,0.32
159,6145,-439,-0.17
160,6193,-440.2,-0.33
161,6241,-437.6,0.09
162,6287,-436.4,0.28
163,6334,-441.3,-0.55
164,6385,-447.5,-1.59
165,6436,-444.4,-1.09
166,6486,-439.6,-0.31
167,6534,-441.4,-0.62
168,6583,-441.5,-0.65
169,6631,-435.3,0.37
170,6677,-435.2,0.37
171,6724,-439.5,-0.36
172,6773,-442.3,-0.84
173,6823,-444.9,-1.28
174,6874,-444,-1.14
175,6924,-440.5,-0.58
176,6973,-440.5,-0.59
177,7023,-443.2,-1.05
178,7074,-444,-1.2
179,7124,-440.5,-0.63
180,7172,-436.5,0.02
181,7220,-436.8,-0.04
182,7267,-437.1,-0.11
183,7315,-438.1,-0.29
184,7364,-441.2,-0.8100000000000001
185,7413,-439.7,-0.58
186,7462,-436,0.02
187,7509,-436.2,-0.03
188,7555,-433.1,0.48
189,7602,-436,-0.02
190,7649,-435.7,0.02
191,7697,-436,-0.04
192,7745,-440,-0.72
193,7794,-439,-0.57
194,7844,-440.9,-0.9
195,7894,-441,-0.93
196,7944,-439.5,-0.6899999999999999
197,7994,-438.5,-0.54
198,8043,-439,-0.64
199,8091,-433.3,0.3
200,8135,-422.6,2.06
201,8178,-431.35,0.59
202,8226,-440.1,-0.87
203,8276,-439.5,-0.78
204,8325,-438,-0.55
205,8374,-435.9,-0.21
206,8422,-436.1,-0.26
207,8471,-437.6,-0.52
208,8520,-438.3,-0.65
209,8569,-438.4,-0.68
210,8619,-438.6,-0.73
211,8668,-437.5,-0.5600000000000001
212,8716,-432,0.34
213,8763,-433.2,0.13
214,8811,-438.8,-0.8100000000000001
215,8861,-437,-0.53
216,8910,-437,-0.54
217,8960,-439,-0.88
218,9009,-436.5,-0.48
219,9058,-436,-0.41
220,9107,-437.1,-0.6
221,9156,-436.5,-0.51
222,9204,-434.1,-0.13
223,9252,-431.7,0.26
224,9298,-433,0.03
225,9346,-435.5,-0.39
226,9396,-438,-0.82
227,9445,-437.2,-0.7
228,9494,-433.9,-0.16
229,9542,-433.8,-0.16
230,9589,-430.2,0.43
231,9635,-429.6,0.51
232,9682,-435.4,-0.46
233,9732,-437.4,-0.8
234,9782,-437.6,-0.85
235,9831,-436.9,-0.74
236,9881,-434.5,-0.36
237,9929,-434.5,-0.37
238,9978,-436.1,-0.65
239,10027,-433.8,-0.28
240,10075,-434.9,-0.47
241,10124,-435.5,-0.58
242,10172,-430,0.31
243,10218,-428.7,0.52
244,10265,-432.8,-0.18
245,10315,-439.5,-1.3
246,10366,-437.4,-0.97
247,10415,-434.1,-0.43
248,10465,-436,-0.76
249,10515,-436,-0.77
250,10564,-436,-0.79
251,10614,-436.6,-0.9
252,10665,-436.9,-0.96
253,10715,-435.2,-0.7
254,10764,-432.5,-0.26
255,10812,-433.5,-0.44
256,10861,-434.5,-0.62
257,10910,-431.6,-0.15
258,10957,-431.3,-0.12
259,11005,-431.9,-0.23
260,11053,-430.3,0.02
261,11100,-429.8,0.09
262,11146,-425.8,0.74
263,11191,-425.3,0.8100000000000001
264,11237,-431.2,-0.18
265,11286,-433,-0.48
266,11334,-431.7,-0.27
267,11383,-434.5,-0.73
268,11434,-437.4,-1.22
269,11485,-437.8,-1.29
270,11537,-439.5,-1.57
271,11590,-439.6,-1.59
272,11642,-439.7,-1.61
273,11695,-441,-1.83
274,11749,-443.2,-2.2
275,11805,-444.2,-2.37
276,11861,-447.1,-2.85
277,11918,-445.3,-2.55
278,11973,-443.1,-2.19
279,12029,-447,-2.84
280,12087,-448.5,-3.09
281,12144,-446.5,-2.77
282,12202,-447.3,-2.9
283,12261,-453.2,-3.88
284,12323,-455,-4.18
285,12385,-453.6,-3.96
286,12446,-451.5,-3.61
287,12507,-452.4,-3.76
288,12569,-455.3,-4.25
289,12632,-455.3,-4.25
290,12694,-453.27,-3.91
291,12755,-451.23,-3.57
292,12815,-449.2,-3.24
293,12874,-450.2,-3.4
294,12934,-450.8,-3.5
295,12994,-451.8,-3.67
296,13055,-452.9,-3.85
297,13116,-452.3,-3.75
298,13177,-452.1,-3.72
299,13237,-450.5,-3.45
300,13296,-448.8,-3.17
301,13355,-448.8,-3.17
302,13414,-451.8,-3.67
303,13476,-455.5,-4.28
304,13539,-453.9,-4.02
305,13600,-451.2,-3.57
306,13659,-449.4,-3.27
307,13718,-447.2,-2.91
308,13774,-442.9,-2.19
309,13828,-442,-2.04
310,13883,-443.2,-2.24
311,13938,-442.1,-2.06
312,13992,-443.65,-2.32
313,14048,-445.2,-2.57
314,14105,-446.75,-2.83
315,14163,-448.3,-3.08
316,14221,-449.85,-3.34
317,14281,-451.4,-3.6
318,14342,-452.95,-3.85
319,14404,-454.5,-4.11
320,14466,-451.7,-3.64
321,14526,-452.8,-3.82
322,14589,-456,-4.34
323,14651,-453.8,-3.98
324,14713,-453.5,-3.92
325,14775,-454.8,-4.14
326,14839,-457.1,-4.52
327,14904,-458.1,-4.68
328,14968,-456.7,-4.44
329,15032,-458,-4.66
330,15099,-462,-5.32
331,15167,-462.5,-5.4
332,15234,-460.1,-5
333,15300,-459,-4.81
334,15366,-458.6,-4.74
335,15432,-461.1,-5.15
336,15501,-464.5,-5.71
337,15570,-463.8,-5.6
338,15639,-462.9,-5.44
339,15708,-463.7,-5.57
340,15777,-462,-5.29
341,15845,-462.4,-5.35
342,15915,-467.5,-6.19
343,15987,-466.3,-5.99
344,16057,-464.9,-5.75
345,16128,-466.9,-6.08
346,16201,-468.5,-6.34
347,16275,-470.9,-6.74
348,16350,-471.8,-6.88
349,16426,-471.8,-6.88
350,16502,-471,-6.74
351,16577,-471.2,-6.77
352,16653,-472.4,-6.97
353,16729,-473.6,-7.16
354,16808,-475.6,-7.49
355,16889,-480.7,-8.33
356,16974,-481.8,-8.51
357,17058,-479,-8.039999999999999
358,17139,-476.4,-7.6
359,17219,-476,-7.53
360,17298,-475.5,-7.45
361,17379,-479.4,-8.09
362,17462,-480.5,-8.27
363,17544,-477,-7.68
364,17625,-477.6,-7.78
365,17706,-478,-7.84
366,17787,-477.9,-7.82
367,17868,-477.3,-7.72
368,17949,-477.5,-7.75
369,18031,-480.15,-8.19
370,18116,-482.8,-8.630000000000001
371,18201,-480,-8.16
372,18283,-478.4,-7.89
373,18365,-477.5,-7.74
374,18446,-478.9,-7.97
375,18530,-482.1,-8.5
376,18615,-481.7,-8.43
377,18701,-483.5,-8.73
378,18787,-481.9,-8.460000000000001
379,18870,-476.6,-7.58
380,18950,-476.9,-7.63
381,19032,-479.8,-8.109999999999999
382,19116,-480.7,-8.26
383,19199,-479.35,-8.029999999999999
384,19282,-478,-7.81
385,19362,-476.4,-7.54
386,19443,-477.4,-7.7
387,19525,-480.1,-8.15
388,19610,-481.9,-8.449999999999999
389,19696,-483.5,-8.710000000000001
390,19782,-482.4,-8.52
391,19868,-482.9,-8.609999999999999
392,19953,-479.2,-7.99
393,20035,-477,-7.62
394,20116,-478.3,-7.84
395,20197,-476.4,-7.52
396,20278,-478.2,-7.82
397,20361,-480,-8.109999999999999
398,20444,-479.8,-8.08
399,20528,-479.5,-8.029999999999999
400,20611,-479.6,-8.039999999999999
401,20694,-479.1,-7.96
402,20777,-478.6,-7.87
403,20859,-479,-7.94
404,20943,-480.1,-8.119999999999999
405,21026,-480,-8.1
406,21110,-479,-7.93
407,21192,-478.9,-7.91
408,21275,-478.9,-7.91
409,21358,-479.45,-8
410,21442,-480,-8.09
411,21525,-477.8,-7.73
412,21605,-475.6,-7.36
413,21686,-477.4,-7.66
414,21769,-480.9,-8.24
415,21854,-481.5,-8.33
416,21939,-480.2,-8.119999999999999
417,22023,-480.4,-8.15
418,22108,-482,-8.41
419,22196,-484.5,-8.82
420,22284,-484.5,-8.82
421,22371,-482.3,-8.449999999999999
422,22457,-481.4,-8.300000000000001
423,22543,-481.85,-8.369999999999999
424,22629,-482.3,-8.449999999999999
425,22716,-482.75,-8.52
426,22803,-483.2,-8.59
427,22888,-479.5,-7.97
428,22972,-479.2,-7.92
429,23057,-482.7,-8.5
430,23145,-484.5,-8.800000000000001
431,23234,-485.1,-8.890000000000001
432,23324,-485.8,-9.01
433,23412,-483,-8.539999999999999
434,23497,-478.3,-7.76
435,23581,-480.95,-8.199999999999999
436,23668,-483.6,-8.630000000000001
437,23755,-483.6,-8.630000000000001
438,23843,-483.6,-8.630000000000001
439,23931,-482.5,-8.44
440,24017,-481.4,-8.26
441,24102,-480,-8.029999999999999
442,24186,-479.1,-7.87
443,24272,-484,-8.68
444,24363,-488.3,-9.390000000000001
445,24453,-482.7,-8.460000000000001
446,24537,-477.1,-7.53
447,24619,-477,-7.51
448,24700,-477,-7.5
449,24781,-475.5,-7.25
450,24860,-474,-7
451,24941,-477.45,-7.57
452,25024,-480.9,-8.140000000000001
453,25109,-480,-7.98
454,25193,-479.1,-7.83
455,25277,-478.2,-7.68
456,25360,-479.5,-7.89
457,25445,-481.8,-8.27
458,25531,-481,-8.130000000000001
459,25615,-478.4,-7.7
460,25697,-474.5,-7.05
461,25776,-474.1,-6.98
462,25855,-475.8,-7.26
463,25936,-476,-7.29
464,26017,-477.1,-7.47
465,26099,-477.2,-7.48
466,26180,-475.3,-7.16
467,26261,-475.8,-7.24
468,26342,-477.7,-7.55
469,26425,-479.3,-7.82
470,26510,-480.7,-8.050000000000001
471,26595,-481,-8.09
472,26681,-481,-8.09
473,26766,-478.9,-7.74
474,26849,-477.8,-7.56
475,26933,-479.9,-7.9
476,27019,-484.4,-8.640000000000001
477,27110,-486.7,-9.02
478,27202,-486.7,-9.02
479,27293,-485.5,-8.82
480,27382,-484.3,-8.619999999999999
481,27470,-481.4,-8.140000000000001
482,27555,-479.6,-7.84
483,27641,-482.3,-8.279999999999999
484,27730,-484.6,-8.66
485,27819,-483.8,-8.52
486,27907,-482.3,-8.27
487,27993,-481.2,-8.09
488,28079,-480.1,-7.9
489,28163,-478.85,-7.69
490,28247,-477.6,-7.49
491,28331,-481.7,-8.16
492,28420,-485.7,-8.82
493,28510,-483.58,-8.470000000000001
494,28597,-481.47,-8.119999999999999
495,28683,-479.35,-7.77
496,28766,-477.23,-7.42
497,28848,-475.12,-7.07
498,28927,-473,-6.71
499,29006,-473,-6.71
500,29085,-474.62,-6.98
501,29166,-476.24,-7.25
502,29249,-477.86,-7.52
503,29332,-479.48,-7.79
504,29418,-481.1,-8.050000000000001
505,29505,-482.9,-8.35
506,29594,-483,-8.369999999999999
507,29682,-482.8,-8.33
508,29771,-484.3,-8.58
509,29861,-483.4,-8.43
510,29949,-482.6,-8.300000000000001
511,30036,-480.5,-7.95
512,30120,-475.6,-7.14
513,30201,-474.9,-7.02
514,30283,-478.5,-7.62
515,30368,-479.8,-7.83
516,30453,-479.3,-7.75
517,30538,-478.63,-7.64
518,30622,-477.95,-7.52
519,30705,-477.27,-7.41
520,30788,-476.6,-7.3
521,30871,-478.6,-7.63
522,30957,-480.5,-7.95
523,31043,-480.8,-8
524,31130,-481.1,-8.050000000000001
525,31216,-479.9,-7.85
526,31302,-478.7,-7.65
527,31387,-479.4,-7.77
528,31473,-481,-8.029999999999999
529,31560,-482,-8.199999999999999
530,31648,-480.4,-7.93
531,31733,-477.2,-7.4
532,31815,-475.6,-7.14
533,31896,-473.4,-6.77
534,31976,-473.2,-6.74
535,32056,-473.5,-6.79
536,32137,-475.3,-7.09
537,32219,-476.4,-7.27
538,32300,-472.4,-6.61
539,32380,-475.2,-7.07
540,32463,-477.7,-7.49
541,32546,-474.7,-6.99
542,32626,-472.5,-6.62
543,32705,-473,-6.71
544,32787,-477.6,-7.47
545,32871,-477.6,-7.47
546,32955,-476.5,-7.29
547,33039,-478.3,-7.59
548,33124,-478.4,-7.6
549,33209,-478.4,-7.6
550,33293,-476.8,-7.34
551,33376,-475.2,-7.07
552,33459,-477.4,-7.44
553,33544,-478,-7.54
554,33628,-476.6,-7.31
555,33711,-475.5,-7.12
556,33793,-475.8,-7.17
557,33877,-476.9,-7.36
558,33960,-475.8,-7.17
559,34041,-471.9,-6.53
560,34121,-474,-6.88
561,34202,-473.3,-6.76
562,34281,-470.2,-6.25
563,34360,-472.3,-6.59
564,34438,-469.2,-6.08
565,34515,-468.8,-6.01
566,34592,-469.6,-6.15
567,34669,-467.9,-5.87
568,34744,-466.9,-5.7
569,34818,-463.5,-5.14
570,34889,-461.6,-4.82
571,34960,-463,-5.05
572,35033,-465.8,-5.52
573,35108,-468.6,-5.98
574,35185,-468.1,-5.9
575,35261,-467.6,-5.82
576,35336,-465,-5.39
577,35409,-464.1,-5.24
578,35482,-464.9,-5.37
579,35556,-466,-5.55
580,35631,-466.6,-5.65
581,35705,-465.1,-5.41
582,35780,-466.4,-5.62
583,35855,-467,-5.72
584,35930,-467.3,-5.77
585,36007,-470,-6.22
586,36086,-471.1,-6.4
587,36166,-472.9,-6.7
588,36248,-474.9,-7.03
589,36331,-476,-7.22
590,36416,-478.9,-7.7
591,36502,-476.5,-7.3
592,36585,-472.7,-6.67
593,36666,-474.5,-6.97
594,36748,-472.6,-6.65
595,36827,-468.8,-6.02
596,36905,-470.6,-6.32
597,36985,-472.4,-6.62
598,37066,-473.25,-6.76
599,37148,-474.1,-6.9
600,37230,-474.1,-6.9
601,37313,-474.5,-6.97
602,37396,-475.9,-7.2
603,37479,-473.5,-6.8
604,37558,-468.5,-5.97
605,37637,-471,-6.38
606,37718,-474,-6.88
607,37799,-472.3,-6.6
608,37880,-471.4,-6.45
609,37959,-470.5,-6.3
610,38039,-471.3,-6.43
611,38120,-472.7,-6.66
612,38201,-473.5,-6.8
613,38284,-474.5,-6.96
614,38367,-475.3,-7.09
615,38451,-475.8,-7.18
616,38535,-475.8,-7.18
617,38619,-474.4,-6.94
618,38702,-473.1,-6.73
619,38783,-472.85,-6.69
620,38865,-472.6,-6.64
621,38946,-472.35,-6.6
622,39027,-472.1,-6.56
623,39107,-470,-6.21
624,39185,-468.3,-5.93
625,39263,-468.3,-5.93
626,39341,-469.7,-6.16
627,39420,-470.2,-6.24
628,39499,-470.2,-6.24
629,39579,-469.5,-6.13
630,39657,-469.5,-6.13
631,39735,-468.2,-5.91
632,39812,-465.6,-5.48
633,39889,-470.2,-6.24
634,39971,-474.5,-6.96
635,40054,-474.2,-6.91
636,40138,-476,-7.21
637,40223,-475.2,-7.07
638,40305,-470.6,-6.31
639,40386,-471.8,-6.51
640,40468,-474.2,-6.91
641,40551,-473,-6.71
642,40632,-472.1,-6.56
643,40714,-472.8,-6.67
644,40796,-471.5,-6.46
645,40875,-467.2,-5.74
646,40952,-467.2,-5.74
647,41031,-471,-6.37
648,41112,-472.3,-6.59
649,41191,-468.1,-5.89
650,41268,-463.9,-5.19
651,41342,-463.4,-5.11
652,41415,-462.9,-5.02
653,41489,-463.3,-5.09
654,41564,-465.7,-5.48
655,41638,-461.6,-4.8
656,41710,-460,-4.53
657,41782,-463.3,-5.08
658,41855,-461.7,-4.81
659,41927,-460.9,-4.68
660,42001,-464.5,-5.27
661,42077,-467,-5.69
662,42152,-462.8,-4.99
663,42225,-460.8,-4.65
664,42298,-464.7,-5.3
665,42374,-467.1,-5.7
666,42451,-465.3,-5.4
667,42527,-465.9,-5.49
668,42603,-465.5,-5.43
669,42679,-467.1,-5.69
670,42758,-469.8,-6.13
671,42837,-468.7,-5.95
672,42916,-468.3,-5.88
673,42994,-468.6,-5.93
674,43073,-467.8,-5.8
675,43150,-466.2,-5.53
676,43226,-466,-5.5
677,43304,-469.3,-6.04
678,43385,-471.8,-6.45
679,43464,-465.6,-5.42
680,43540,-465.9,-5.47
681,43619,-473.2,-6.68
682,43702,-472.7,-6.6
683,43785,-472,-6.48
684,43868,-474.8,-6.94
685,43952,-474.4,-6.88
686,44036,-473.5,-6.72
687,44120,-475.1,-6.99
688,44206,-476.8,-7.27
689,44292,-474.8,-6.94
690,44377,-475,-6.97
691,44463,-478.3,-7.51
692,44551,-476,-7.13
693,44634,-470.1,-6.15
694,44715,-472.5,-6.55
695,44800,-477.9,-7.44
696,44887,-475.5,-7.04
697,44972,-473.3,-6.68
698,45055,-473.6,-6.72
699,45139,-473.4,-6.69
700,45225,-477.7,-7.4
701,45315,-482.3,-8.16
702,45407,-480.8,-7.91
703,45497,-479.2,-7.64
704,45587,-481,-7.94
705,45677,-477.6,-7.38
706,45762,-472.6,-6.55
707,45846,-474.9,-6.93
708,45932,-475.4,-7.01
709,46018,-475.5,-7.02
710,46104,-477.7,-7.39
711,46193,-477.7,-7.38
712,46281,-478.2,-7.47
713,46370,-478.5,-7.51
714,46457,-476.3,-7.15
715,46543,-474.1,-6.78
716,46628,-474.8,-6.9
717,46713,-474.9,-6.91
718,46797,-472.3,-6.48
719,46881,-473.7,-6.71
720,46966,-475,-6.92
721,47050,-473.5,-6.67
722,47133,-471.2,-6.29
723,47214,-469,-5.92
724,47295,-470.5,-6.17
725,47378,-473.9,-6.73
726,47462,-472.8,-6.55
727,47546,-474.2,-6.78
728,47631,-475.5,-6.99
729,47716,-471.7,-6.36
730,47798,-471.2,-6.28
731,47881,-474,-6.74
732,47966,-474.7,-6.85
733,48050,-472.3,-6.46
734,48134,-473.5,-6.65
735,48218,-472.5,-6.49
736,48300,-469.7,-6.02
737,48381,-469.9,-6.05
738,48461,-468.4,-5.8
739,48541,-468.6,-5.83
740,48622,-471.2,-6.26
741,48704,-471.8,-6.36
742,48787,-472.5,-6.48
743,48870,-472,-6.39
744,48953,-471.1,-6.24
745,49034,-468.2,-5.76
746,49113,-468.3,-5.77
747,49193,-469,-5.89
748,49272,-466.7,-5.51
749,49350,-466.7,-5.51
750,49430,-469,-5.89
751,49510,-469.5,-5.97
752,49591,-470.1,-6.07
753,49672,-468.3,-5.78
754,49750,-465.4,-5.3
755,49828,-467.1,-5.58
756,49907,-467.2,-5.6
757,49985,-464.7,-5.18
758,50061,-463.8,-5.03
759,50138,-466.3,-5.45
760,50217,-467.8,-5.7
761,50295,-465.8,-5.37
762,50374,-466.8,-5.54
763,50452,-466.8,-5.54
764,50531,-467.5,-5.65
765,50610,-467,-5.57
766,50688,-464.7,-5.19
767,50766,-467.9,-5.72
768,50847,-470,-6.07
769,50928,-468.9,-5.89
770,51009,-468,-5.74
771,51086,-463,-4.91
772,51159,-456.1,-3.77
773,51230,-459.5,-4.34
774,51306,-465.8,-5.38
775,51384,-467.1,-5.6
776,51465,-470.8,-6.21
777,51549,-473.1,-6.6
778,51633,-472.1,-6.43
779,51715,-466.3,-5.47
780,51794,-467,-5.59
781,51874,-469.6,-6.02
782,51955,-466.8,-5.56
783,52034,-466.8,-5.56
784,52114,-468.3,-5.81
785,52195,-468.5,-5.84
786,52275,-466.7,-5.55
787,52352,-463.6,-5.03
788,52430,-467,-5.6
789,52511,-470.2,-6.13
790,52594,-470.8,-6.23
791,52679,-473.7,-6.71
792,52763,-470.3,-6.15
793,52846,-470,-6.1
794,52931,-475,-6.93
795,53019,-476.5,-7.18
796,53107,-475.8,-7.07
797,53193,-471.5,-6.36
798,53275,-467.2,-5.65
799,53355,-466.6,-5.55
800,53436,-469.6,-6.05
801,53520,-473.2,-6.65
802,53606,-473.2,-6.65
803,53692,-472.6,-6.55
804,53775,-469.5,-6.04
805,53858,-470.6,-6.22
806,53942,-472.2,-6.49
807,54026,-470.1,-6.14
808,54111,-472.85,-6.6
809,54198,-475.6,-7.06
810,54286,-475,-6.96
811,54372,-471.6,-6.4
812,54457,-472.4,-6.53
813,54544,-474,-6.8
814,54629,-470.2,-6.17
815,54713,-471.3,-6.35
816,54797,-470.9,-6.29
817,54881,-471.3,-6.36
818,54967,-473.4,-6.71
819,55052,-471,-6.31
820,55136,-470.1,-6.16
821,55218,-466.6,-5.58
822,55297,-465.1,-5.34
823,55377,-467,-5.65
824,55457,-465.6,-5.42
825,55536,-464.3,-5.21
826,55615,-465.6,-5.43
827,55694,-466.3,-5.54
828,55775,-467.9,-5.81
829,55855,-464.4,-5.23
830,55933,-461.8,-4.8
831,56009,-463.5,-5.09
832,56087,-462.7,-4.95
833,56163,-461.2,-4.71
834,56239,-462.5,-4.92
835,56317,-463.6,-5.11
836,56394,-461.5,-4.76
837,56471,-463.5,-5.09
838,56548,-463.5,-5.1
839,56624,-459,-4.35
840,56698,-459.4,-4.42
841,56774,-462.2,-4.88
842,56850,-459.7,-4.47
843,56922,-455.1,-3.71
844,56993,-454.9,-3.68
845,57065,-457.9,-4.18
846,57139,-460.1,-4.54
847,57215,-461.2,-4.73
848,57289,-456.9,-4.01
849,57362,-457.1,-4.05
850,57436,-461.9,-4.85
851,57513,-461.9,-4.85
852,57590,-462,-4.86
853,57669,-467.5,-5.78
854,57750,-465.9,-5.51
855,57828,-460.7,-4.65
856,57905,-462.7,-4.98
857,57981,-460.7,-4.65
858,58057,-460.5,-4.62
859,58133,-462.2,-4.9
860,58211,-462.6,-4.96
861,58286,-458.4,-4.27
862,58360,-458.1,-4.22
863,58436,-462.4,-4.93
864,58514,-464.1,-5.21
865,58594,-466.8,-5.66
866,58676,-468,-5.86
867,58759,-469.2,-6.06
868,58842,-468.4,-5.93
869,58925,-467.9,-5.85
870,59008,-469.1,-6.04
871,59093,-471.3,-6.41
872,59178,-470.7,-6.31
873,59262,-468,-5.86
874,59345,-467.9,-5.85
875,59428,-469,-6.03
876,59511,-468,-5.86
877,59593,-466,-5.53
878,59674,-466,-5.53
879,59755,-466,-5.53
880,59836,-467.7,-5.81
881,59921,-471.8,-6.49
882,60007,-472,-6.53
883,60093,-469.7,-6.15
884,60177,-469.5,-6.11
885,60262,-470,-6.2
886,60348,-471.5,-6.45
887,60433,-470.6,-6.3
888,60519,-470.5,-6.28
889,60605,-472,-6.53
890,60692,-472.3,-6.58
891,60779,-472.5,-6.61
892,60869,-476.7,-7.31
893,60961,-477.7,-7.48
894,61052,-474.7,-6.98
895,61141,-473.7,-6.81
896,61229,-472,-6.53
897,61317,-474.1,-6.88
898,61406,-474,-6.86
899,61496,-474.8,-7
900,61586,-476.4,-7.26
901,61677,-474,-6.86
902,61765,-471.8,-6.5
903,61852,-472.4,-6.6
904,61941,-474.8,-7
905,62031,-475.4,-7.1
906,62121,-475.1,-7.05
907,62213,-477.5,-7.44
908,62307,-479.2,-7.72
909,62401,-478.7,-7.64
910,62497,-481.4,-8.09
911,62594,-481,-8.02
912,62689,-478.9,-7.67
913,62783,-478.1,-7.54
914,62877,-477.9,-7.51
915,62970,-477.9,-7.51
916,63064,-477.9,-7.51
917,63157,-477.9,-7.51
918,63249,-475.5,-7.11
919,63338,-471.4,-6.43
920,63424,-470.4,-6.26
921,63512,-473.9,-6.84
922,63600,-472.8,-6.66
923,63688,-471.3,-6.41
924,63776,-473.8,-6.83
925,63865,-473.8,-6.82
926,63954,-473.6,-6.79
927,64043,-474.5,-6.94
928,64134,-476.5,-7.27
929,64228,-479.1,-7.7
930,64322,-478.2,-7.55
931,64416,-477.3,-7.4
932,64510,-480.4,-7.91
933,64605,-477.5,-7.43
934,64698,-477.9,-7.49
935,64793,-480.8,-7.97
936,64890,-480.5,-7.92
937,64987,-482,-8.17
938,65085,-480.9,-7.98
939,65182,-480.7,-7.95
940,65278,-479.6,-7.76
941,65371,-476.5,-7.25
942,65464,-478,-7.49
943,65559,-479.3,-7.71
944,65655,-482,-8.15
945,65756,-486.2,-8.85
946,65855,-479.6,-7.75
947,65949,-477.5,-7.4
948,66045,-482.4,-8.210000000000001
949,66144,-483,-8.31
950,66243,-481.5,-8.06
951,66338,-477.1,-7.33
952,66429,-474.4,-6.88
953,66520,-475.6,-7.07
954,66613,-479.6,-7.73
955,66708,-479.8,-7.76
956,66803,-478.5,-7.54
957,66898,-479.7,-7.73
958,66992,-478,-7.44
959,67085,-476.7,-7.22
960,67178,-478.2,-7.47
961,67272,-479.2,-7.63
962,67367,-478.6,-7.52
963,67462,-480.3,-7.8
964,67557,-479.8,-7.71
965,67653,-480.7,-7.86
966,67750,-482.5,-8.15
967,67848,-481.9,-8.039999999999999
968,67945,-481,-7.89
969,68041,-479,-7.55
970,68136,-480.5,-7.8
971,68233,-483.4,-8.27
972,68330,-479.7,-7.65
973,68424,-478.5,-7.45
974,68520,-481.9,-8.01
975,68617,-481.5,-7.94
976,68715,-483.1,-8.199999999999999
977,68811,-479.5,-7.59
978,68902,-472.1,-6.36
979,68987,-468.8,-5.81
980,69071,-470.7,-6.12
981,69155,-467.7,-5.62
982,69238,-468.5,-5.75
983,69324,-474.2,-6.69
984,69413,-475.6,-6.92
985,69506,-479.4,-7.54
986,69599,-478.1,-7.33
987,69691,-476,-6.97
988,69780,-473.5,-6.55
989,69869,-474.7,-6.75
990,69959,-478.1,-7.31
991,70054,-481.3,-7.84
992,70149,-480.6,-7.72
993,70243,-476.6,-7.05
994,70334,-476.8,-7.08
995,70425,-477.9,-7.26
996,70515,-473.5,-6.52
997,70600,-468.4,-5.67
998,70683,-468.4,-5.67
999,70766,-468.4,-5.67
1000,70848,-468.4,-5.66
1001,70931,-468.4,-5.66
1002,71013,-468.7,-5.7
1003,71096,-469,-5.75
1004,71180,-470.1,-5.93
1005,71264,-470.5,-5.99
1006,71347,-467.2,-5.44
1007,71427,-465.5,-5.15
1008,71506,-462.2,-4.6
1009,71584,-466.4,-5.3
1010,71664,-465.8,-5.2
1011,71743,-463.5,-4.81
1012,71822,-466.8,-5.36
1013,71905,-471.5,-6.13
1014,71989,-468,-5.55
1015,72070,-467,-5.38
1016,72152,-468.9,-5.69
1017,72235,-469.6,-5.81
1018,72318,-469.7,-5.82
1019,72403,-472.5,-6.28
1020,72489,-474,-6.53
1021,72578,-476.2,-6.89
1022,72666,-473.2,-6.39
1023,72753,-474.7,-6.64
1024,72840,-470.7,-5.97
1025,72922,-466.6,-5.29
1026,73003,-469.5,-5.77
1027,73087,-470.9,-6
1028,73172,-472.8,-6.31
1029,73258,-473.6,-6.44
1030,73347,-477.6,-7.1
1031,73440,-481.9,-7.81
1032,73533,-476.8,-6.96
1033,73620,-471.6,-6.1
1034,73706,-474.7,-6.61
1035,73795,-477.8,-7.12
1036,73885,-476.2,-6.85
1037,73973,-473.8,-6.45
1038,74060,-474.5,-6.56
1039,74150,-478.2,-7.17
1040,74238,-473,-6.31
1041,74322,-470.6,-5.91
1042,74405,-468.9,-5.62
1043,74484,-463.6,-4.74
1044,74565,-471.4,-6.03
1045,74651,-476.8,-6.92
1046,74738,-470.5,-5.87
1047,74821,-470.4,-5.85
1048,74903,-469.4,-5.68
1049,74985,-469,-5.61
1050,75066,-467.8,-5.41
1051,75147,-469.7,-5.72
1052,75229,-467.9,-5.42
1053,75308,-466.1,-5.12
1054,75388,-467.3,-5.32
1055,75468,-467.9,-5.41
1056,75547,-466.2,-5.13
1057,75625,-463.4,-4.66
1058,75701,-462.6,-4.53
1059,75776,-461.8,-4.39
1060,75850,-461.6,-4.35
1061,75928,-468,-5.41
1062,76007,-465.5,-5
1063,76084,-464.5,-4.83
1064,76162,-466.9,-5.23
1065,76239,-461.7,-4.37
1066,76313,-459.8,-4.05
1067,76388,-464.3,-4.8
1068,76465,-466,-5.08
1069,76543,-466.5,-5.16
1070,76622,-466.9,-5.22
1071,76700,-465.1,-4.92
1072,76777,-463.6,-4.67
1073,76854,-466.1,-5.09
1074,76933,-468.6,-5.5
1075,77014,-468.4,-5.47
1076,77094,-468.1,-5.42
1077,77175,-471,-5.9
1078,77259,-473.6,-6.33
1079,77345,-475.9,-6.71
1080,77433,-478.5,-7.14
1081,77521,-475.2,-6.59
1082,77606,-470.5,-5.81
1083,77687,-470.2,-5.76
1084,77769,-470.5,-5.81
1085,77853,-474.4,-6.45
1086,77938,-474.8,-6.52
1087,78025,-475.4,-6.62
1088,78113,-479.4,-7.28
1089,78200,-472,-6.06
1090,78277,-458.5,-3.82
1091,78353,-469.9,-5.71
1092,78437,-476.4,-6.79
1093,78522,-472.4,-6.12
1094,78606,-473.6,-6.32
1095,78690,-472,-6.06
1096,78772,-470.3,-5.78
1097,78854,-470.9,-5.87
1098,78937,-473.1,-6.24
1099,79020,-471.1,-5.91
1100,79098,-464.4,-4.8
1101,79174,-464.4,-4.8
1102,79251,-465.6,-5
1103,79327,-464.2,-4.76
1104,79402,-461.6,-4.33
1105,79478,-468.2,-5.43
1106,79557,-468.6,-5.5
1107,79636,-467,-5.23
1108,79714,-465.2,-4.93
1109,79791,-467.3,-5.28
1110,79870,-468.1,-5.41
1111,79947,-465.3,-4.95
1112,80020,-457.5,-3.66
1113,80093,-464.8,-4.87
1114,80173,-473.9,-6.38
1115,80257,-472.3,-6.11
1116,80341,-474,-6.39
1117,80422,-468.1,-5.41
1118,80498,-462.3,-4.45
1119,80572,-461.1,-4.25
1120,80645,-462,-4.4
1121,80719,-464.1,-4.75
1122,80794,-464.1,-4.75
1123,80869,-462.6,-4.5
1124,80943,-463.6,-4.67
1125,81019,-465.2,-4.93
1126,81096,-466.8,-5.2
1127,81170,-459.8,-4.04
1128,81240,-455.3,-3.29
1129,81309,-458.8,-3.87
1130,81381,-462.3,-4.45
1131,81453,-458.9,-3.89
1132,81523,-455.5,-3.33
1133,81592,-458.3,-3.79
1134,81662,-458.3,-3.79
1135,81732,-458.4,-3.81
1136,81802,-458,-3.74
1137,81872,-457.9,-3.73
1138,81942,-458.5,-3.83
1139,82012,-456.4,-3.48
1140,82080,-456.9,-3.56
1141,82148,-453.6,-3.01
1142,82213,-450.7,-2.54
1143,82280,-457.4,-3.65
1144,82352,-464.6,-4.85
1145,82427,-463,-4.59
1146,82500,-461.3,-4.31
1147,82573,-462.6,-4.53
1148,82647,-463.9,-4.75
1149,82721,-461,-4.27
1150,82792,-458,-3.78
1151,82860,-453.9,-3.1
1152,82925,-449.8,-2.42
1153,82990,-453.1,-2.98
1154,83055,-450.7,-2.58
1155,83121,-456,-3.46
1156,83190,-458.7,-3.92
1157,83261,-458.8,-3.94
1158,83331,-458.8,-3.94
1159,83401,-457.3,-3.7
1160,83470,-456.8,-3.62
1161,83538,-454.7,-3.27
1162,83608,-461.4,-4.39
1163,83679,-457.3,-3.71
1164,83747,-454.4,-3.23
1165,83814,-454.2,-3.2
1166,83881,-456.2,-3.54
1167,83952,-460.9,-4.32
1168,84025,-462.8,-4.64
1169,84097,-460.5,-4.27
1170,84168,-458.3,-3.91
1171,84238,-458.3,-3.91
1172,84308,-458.3,-3.92
1173,84378,-458.8,-4.01
1174,84448,-457.3,-3.76
1175,84515,-449.8,-2.53
1176,84576,-444.4,-1.64
1177,84638,-450.5,-2.65
1178,84703,-452.7,-3.03
1179,84770,-455.1,-3.43
1180,84838,-455.4,-3.49
1181,84905,-454.2,-3.29
1182,84971,-451.9,-2.92
1183,85036,-450.2,-2.64
1184,85100,-449.2,-2.48
1185,85164,-451.8,-2.92
1186,85229,-453,-3.12
1187,85296,-453.6,-3.23
1188,85361,-450.3,-2.69
1189,85425,-450,-2.64
1190,85489,-448.9,-2.47
1191,85551,-448.1,-2.34
1192,85615,-450.3,-2.71
1193,85680,-452,-3
1194,85746,-455.2,-3.53
1195,85814,-454.5,-3.42
1196,85881,-455.1,-3.53
1197,85949,-455,-3.51
1198,86016,-454.2,-3.38
1199,86083,-454.2,-3.38
1200,86150,-454.2,-3.38
1201,86218,-455.7,-3.63
1202,86286,-456.5,-3.76
1203,86355,-455.8,-3.64
1204,86423,-456.6,-3.78
1205,86492,-457.4,-3.91
1206,86562,-460,-4.34
1207,86635,-463.2,-4.87
1208,86707,-457.9,-3.99
1209,86777,-460.1,-4.35
1210,86848,-458.8,-4.14
1211,86919,-458.7,-4.12
1212,86989,-459,-4.17
1213,87060,-460.4,-4.4
1214,87132,-460.9,-4.49
1215,87203,-460.3,-4.39
1216,87274,-457.1,-3.86
1217,87342,-454.7,-3.46
1218,87410,-458.9,-4.15
1219,87482,-463,-4.83
1220,87554,-460.1,-4.35
1221,87624,-456.8,-3.8
1222,87695,-461.3,-4.55
1223,87766,-459.7,-4.28
1224,87837,-458.8,-4.13
1225,87907,-459.3,-4.21
1226,87978,-460.7,-4.43
1227,88049,-460.7,-4.43
1228,88122,-462.9,-4.79
1229,88196,-465,-5.13
1230,88271,-465,-5.12
1231,88345,-465,-5.12
1232,88420,-465,-5.11
1233,88495,-465,-5.1
1234,88570,-464.8,-5.07
1235,88644,-464.6,-5.03
1236,88719,-464.9,-5.07
1237,88793,-464.1,-4.93
1238,88866,-463.7,-4.86
1239,88938,-459.1,-4.09
1240,89008,-459.2,-4.1
1241,89077,-459.3,-4.11
1242,89148,-462.6,-4.65
1243,89221,-464.2,-4.91
1244,89296,-466.8,-5.34
1245,89373,-469.4,-5.76
1246,89450,-466.2,-5.23
1247,89523,-463,-4.69
1248,89597,-465.5,-5.1
1249,89672,-467.5,-5.43
1250,89748,-467.5,-5.42
1251,89825,-467.5,-5.41
1252,89900,-465.4,-5.06
1253,89973,-463.2,-4.69
1254,90048,-468.8,-5.61
1255,90128,-475.3,-6.68
1256,90209,-470.9,-5.94
1257,90286,-467.3,-5.34
1258,90362,-468.8,-5.58
1259,90440,-469.7,-5.73
1260,90517,-470,-5.77
1261,90594,-466.5,-5.18
1262,90668,-466.1,-5.11
1263,90740,-460.4,-4.16
1264,90812,-465.5,-5
1265,90885,-464.3,-4.79
1266,90959,-465.7,-5.02
1267,91033,-465.6,-4.99
1268,91107,-466.8,-5.19
1269,91182,-467,-5.21
1270,91258,-470.1,-5.72
1271,91336,-470.7,-5.81
1272,91411,-464.2,-4.73
1273,91480,-457,-3.53
1274,91547,-457.5,-3.61
1275,91615,-460.2,-4.05
1276,91685,-460.7,-4.12
1277,91753,-459.1,-3.85
1278,91823,-463.7,-4.61
1279,91896,-465.2,-4.85
1280,91968,-463.6,-4.59
1281,92040,-465.1,-4.83
1282,92114,-466.7,-5.1
1283,92187,-464.4,-4.71
1284,92259,-463.4,-4.54
1285,92329,-460.1,-3.99
1286,92398,-460.9,-4.12
1287,92470,-465.8,-4.94
1288,92542,-464.8,-4.77
1289,92617,-468.9,-5.45
1290,92690,-463.7,-4.58
1291,92759,-456.1,-3.32
1292,92827,-461.9,-4.28
1293,92897,-463,-4.46
1294,92967,-460.6,-4.06
1295,93037,-461.1,-4.14
1296,93107,-464,-4.62
1297,93180,-467.2,-5.15
1298,93254,-464.5,-4.7
1299,93325,-463.2,-4.48
1300,93397,-464.5,-4.69
1301,93468,-463,-4.44
1302,93540,-465.9,-4.92
1303,93615,-470.1,-5.61
1304,93690,-464.5,-4.68
1305,93761,-462,-4.27
1306,93829,-457.1,-3.45
1307,93895,-456,-3.27
1308,93961,-457.1,-3.45
1309,94026,-455.9,-3.25
1310,94093,-459.7,-3.88
1311,94164,-466.3,-4.97
1312,94238,-466.3,-4.97
1313,94311,-465.5,-4.84
1314,94382,-461.2,-4.12
1315,94450,-458.4,-3.66
1316,94517,-457.5,-3.51
1317,94585,-461.4,-4.15
1318,94655,-462.6,-4.35
1319,94725,-463.2,-4.45
1320,94795,-460.8,-4.05
1321,94864,-459.7,-3.87
1322,94932,-459.3,-3.8
1323,95000,-460.3,-3.96
1324,95070,-462.9,-4.39
1325,95141,-465.2,-4.77
1326,95214,-466,-4.9
1327,95284,-458.4,-3.64
1328,95351,-456.9,-3.39
1329,95418,-459.9,-3.89
1330,95487,-460.6,-4
1331,95556,-460.6,-4
1332,95624,-460.6,-4
1333,95693,-459.7,-3.85
1334,95761,-458.8,-3.7
1335,95828,-458.8,-3.7
1336,95895,-458.8,-3.7
1337,95964,-460.6,-4
1338,96033,-462.4,-4.3
1339,96103,-460.3,-3.95
1340,96170,-457.6,-3.5
1341,96237,-457.6,-3.5
1342,96304,-459.4,-3.8
1343,96372,-459.8,-3.87
1344,96441,-462,-4.23
1345,96511,-462.7,-4.35
1346,96582,-462.3,-4.28
1347,96652,-462.7,-4.35
1348,96722,-459.9,-3.88
1349,96791,-461.8,-4.2
1350,96861,-463.7,-4.51
1351,96933,-463.7,-4.51
1352,97004,-463.7,-4.51
1353,97075,-463.1,-4.42
1354,97148,-468.1,-5.24
1355,97222,-466,-4.9
1356,97294,-462.7,-4.35
1357,97365,-464,-4.57
1358,97439,-469.4,-5.46
1359,97514,-466.5,-4.98
1360,97588,-465.9,-4.88
1361,97659,-461.3,-4.12
1362,97727,-456.7,-3.36
1363,97794,-461.2,-4.1
1364,97864,-462,-4.24
1365,97936,-465.5,-4.82
1366,98010,-468.9,-5.38
1367,98085,-465.8,-4.87
1368,98157,-462.8,-4.38
1369,98228,-463.6,-4.51
1370,98300,-465.6,-4.84
1371,98371,-460.1,-3.93
1372,98439,-457.5,-3.5
1373,98505,-457.5,-3.51
1374,98572,-457.5,-3.51
1375,98640,-461.2,-4.12
1376,98712,-465,-4.75
1377,98783,-462.8,-4.39
1378,98855,-463.8,-4.56
1379,98925,-460.4,-4
1380,98994,-459.2,-3.8
1381,99063,-461.4,-4.17
1382,99134,-463.9,-4.58
1383,99205,-462.5,-4.35
1384,99275,-461.1,-4.12
1385,99345,-460.8,-4.07
1386,99414,-460.5,-4.03
1387,99484,-460.4,-4.01
1388,99553,-460,-3.95
1389,99622,-459.8,-3.92
1390,99691,-460.8,-4.08
1391,99760,-459.6,-3.89
1392,99828,-457.2,-3.49
1393,99894,-457.2,-3.49
1394,99961,-457.2,-3.49
1395,100028,-456.9,-3.45
1396,100095,-458.1,-3.65
1397,100163,-459.2,-3.83
1398,100232,-460.7,-4.08
1399,100301,-457.7,-3.59
1400,100367,-454.8,-3.11
1401,100432,-454.8,-3.11
1402,100498,-456.5,-3.39
1403,100565,-458.2,-3.68
1404,100633,-458.2,-3.68
1405,100700,-457.8,-3.61
1406,100768,-457.3,-3.53
1407,100835,-456.6,-3.42
1408,100902,-457.9,-3.64
1409,100969,-457.2,-3.52
1410,101036,-456.5,-3.41
1411,101102,-455.8,-3.29
1412,101168,-455.1,-3.18
1413,101234,-455.1,-3.18
1414,101299,-453.9,-2.99
1415,101363,-452.6,-2.77
1416,101427,-452,-2.67
1417,101490,-451.4,-2.58
1418,101554,-453.7,-2.96
1419,101618,-452.8,-2.81
1420,101681,-449.5,-2.27
1421,101743,-450.1,-2.37
1422,101806,-450.8,-2.49
1423,101868,-450,-2.36
1424,101930,-449.2,-2.23
1425,101991,-448.4,-2.1
1426,102052,-447.6,-1.97
1427,102114,-450.3,-2.42
1428,102177,-452.9,-2.86
1429,102241,-451.5,-2.63
1430,102304,-450.2,-2.42
1431,102366,-449.2,-2.26
1432,102427,-448.3,-2.11
1433,102489,-450.5,-2.48
1434,102553,-452.7,-2.85
1435,102618,-454.1,-3.08
1436,102684,-455.5,-3.32
1437,102749,-452.5,-2.82
1438,102812,-449.5,-2.33
1439,102876,-453.1,-2.93
1440,102942,-456.8,-3.55
1441,103008,-454,-3.09
1442,103073,-451.1,-2.61
1443,103137,-454.6,-3.19
1444,103205,-458.1,-3.78
1445,103273,-457.4,-3.67
1446,103341,-456.7,-3.55
1447,103410,-459.6,-4.04
1448,103481,-462.5,-4.52
1449,103553,-462.1,-4.46
1450,103625,-461.8,-4.41
1451,103697,-461.8,-4.41
1452,103769,-462.3,-4.5
1453,103841,-462,-4.45
1454,103912,-461.1,-4.3
1455,103984,-460.7,-4.24
1456,104054,-460.2,-4.16
1457,104125,-459.9,-4.11
1458,104195,-459.5,-4.05
1459,104266,-460.5,-4.22
1460,104337,-461.6,-4.4
1461,104409,-461.4,-4.37
1462,104480,-461.1,-4.32
1463,104552,-461.1,-4.33
1464,104623,-461.1,-4.33
1465,104695,-460.6,-4.25
1466,104766,-460.1,-4.17
1467,104837,-460.1,-4.17
1468,104908,-462.2,-4.52
1469,104982,-464.2,-4.85
1470,105055,-463,-4.66
1471,105128,-461.9,-4.48
1472,105200,-460.7,-4.28
1473,105271,-459.6,-4.1
1474,105342,-460.2,-4.2
1475,105413,-460.7,-4.29
1476,105485,-462,-4.51
1477,105559,-463.2,-4.71
1478,105631,-460.9,-4.33
1479,105702,-458.5,-3.93
1480,105772,-458.5,-3.93
1481,105842,-458.5,-3.92
1482,105911,-457.9,-3.82
1483,105980,-457.2,-3.71
1484,106048,-454.2,-3.21
1485,106114,-451.2,-2.71
1486,106179,-455.2,-3.37
1487,106248,-459.1,-4.02
1488,106319,-460.5,-4.25
1489,106391,-461.9,-4.48
1490,106463,-460.6,-4.26
1491,106535,-459.3,-4.04
1492,106606,-461,-4.32
1493,106678,-462.7,-4.6
1494,106752,-464.1,-4.84
1495,106828,-465.5,-5.07
1496,106902,-463.5,-4.73
1497,106976,-461.5,-4.4
1498,107048,-461.5,-4.4
1499,107121,-461.5,-4.4
1500,107194,-464.4,-4.88
1501,107270,-467.3,-5.36
1502,107349,-470.7,-5.92
1503,107431,-474.1,-6.48
1504,107515,-474.1,-6.48
1505,107599,-474.1,-6.48
1506,107683,-474.1,-6.48
1507,107767,-475.3,-6.67
1508,107852,-476.4,-6.85
1509,107938,-476.7,-6.9
1510,108025,-477,-6.95
1511,108111,-477,-6.95
1512,108198,-476.3,-6.83
1513,108283,-475.6,-6.71
1514,108369,-475.6,-6.71
1515,108454,-475.2,-6.64
1516,108538,-474.8,-6.57
1517,108622,-474,-6.43
1518,108706,-473.1,-6.28
1519,108789,-473.1,-6.28
1520,108872,-473.1,-6.28
1521,108954,-473.1,-6.27
1522,109037,-473.1,-6.27
1523,109121,-474.7,-6.53
1524,109206,-476.4,-6.81
1525,109292,-476.4,-6.81
1526,109378,-474.2,-6.44
1527,109461,-472.1,-6.09
1528,109543,-472.1,-6.09
1529,109625,-472.1,-6.09
1530,109707,-472.8,-6.2
1531,109790,-473.4,-6.3
1532,109872,-470.9,-5.88
1533,109952,-468.4,-5.47
1534,110031,-468.8,-5.53
1535,110110,-469.1,-5.58
1536,110189,-469.1,-5.58
1537,110269,-469.1,-5.58
1538,110348,-469.1,-5.58
1539,110427,-469.1,-5.57
1540,110507,-469.1,-5.57
1541,110586,-469.1,-5.57
1542,110666,-469.1,-5.57
1543,110746,-471.7,-6
1544,110829,-474.2,-6.42
1545,110913,-473.2,-6.25
1546,110996,-472.2,-6.08
1547,111078,-471,-5.88
1548,111159,-469.8,-5.68
1549,111239,-469.8,-5.68
1550,111319,-469.8,-5.68
1551,111399,-469.8,-5.68
1552,111480,-469.8,-5.68
1553,111560,-469.8,-5.68
1554,111640,-469.8,-5.68
1555,111721,-471.9,-6.02
1556,111805,-474,-6.37
1557,111889,-474,-6.37
1558,111973,-472.7,-6.16
1559,112055,-471.4,-5.94
1560,112137,-471.4,-5.94
1561,112219,-471.4,-5.94
1562,112301,-471.4,-5.94
1563,112383,-471.4,-5.94
1564,112465,-471.4,-5.93
1565,112547,-470.7,-5.82
1566,112628,-470,-5.7
1567,112708,-469.8,-5.67
1568,112790,-471,-5.86
1569,112872,-472.2,-6.06
1570,112954,-471.4,-5.93
1571,113036,-470.6,-5.8
1572,113116,-468.2,-5.4
1573,113195,-465.7,-4.98
1574,113272,-465.7,-4.98
1575,113348,-465,-4.86
1576,113425,-464.9,-4.85
1577,113501,-465.2,-4.89
1578,113578,-465.5,-4.94
1579,113656,-467.5,-5.27
1580,113736,-469.6,-5.62
1581,113815,-466.5,-5.1
1582,113891,-463.3,-4.57
1583,113966,-463.3,-4.57
1584,114041,-462.6,-4.45
1585,114115,-461.9,-4.33
1586,114189,-462.1,-4.36
1587,114264,-462.3,-4.39
1588,114338,-461.8,-4.31
1589,114411,-461.4,-4.24
1590,114486,-463.5,-4.59
1591,114562,-465.7,-4.95
1592,114639,-464.7,-4.78
1593,114715,-463.6,-4.6
1594,114790,-462,-4.33
1595,114863,-460.4,-4.06
1596,114935,-458.5,-3.75
1597,115006,-456.7,-3.45
1598,115077,-459.4,-3.89
1599,115150,-462,-4.32
1600,115222,-456.5,-3.41
1601,115289,-450.9,-2.48
1602,115355,-450.9,-2.47
1603,115420,-450.9,-2.47
1604,115486,-450.9,-2.47
1605,115551,-450.9,-2.47
1606,115617,-450.9,-2.47
1607,115683,-451.5,-2.56
1608,115749,-452,-2.64
1609,115816,-454.8,-3.11
1610,115886,-457.6,-3.57
1611,115956,-456.2,-3.34
1612,116025,-454.7,-3.08
1613,116093,-454,-2.97
1614,116161,-453.4,-2.86
1615,116228,-453.5,-2.88
1616,116296,-453.2,-2.83
1617,116363,-452.8,-2.76
1618,116430,-452.5,-2.71
1619,116497,-452.3,-2.67
1620,116563,-452.3,-2.67
1621,116630,-452.3,-2.67
1622,116697,-451.5,-2.53
1623,116762,-450.8,-2.41
1624,116827,-449,-2.11
1625,116891,-447.3,-1.83
1626,116954,-446.1,-1.62
1627,117016,-445,-1.44
1628,117077,-445,-1.44
1629,117139,-446.2,-1.63
1630,117202,-447.4,-1.83
1631,117264,-446,-1.59
1632,117326,-444.6,-1.36
1633,117388,-446.5,-1.67
1634,117451,-448.5,-2
1635,117514,-445.5,-1.5
1636,117575,-442.4,-0.98
1637,117635,-444.1,-1.26
1638,117697,-445.8,-1.54
1639,117759,-446.6,-1.67
1640,117822,-447.7,-1.85
1641,117886,-447.9,-1.88
1642,117949,-447.3,-1.78
1643,118012,-446.6,-1.66
1644,118074,-444.5,-1.31
1645,118135,-442.3,-0.9399999999999999
1646,118194,-442.3,-0.93
1647,118254,-442.3,-0.93
1648,118314,-443.9,-1.19
1649,118376,-445.5,-1.46
1650,118438,-445.5,-1.45
1651,118499,-443.5,-1.12
1652,118559,-441.6,-0.8
1653,118618,-440.2,-0.57
1654,118676,-438.7,-0.31
1655,118735,-443.1,-1.04
1656,118796,-447.5,-1.77
1657,118859,-445.7,-1.47
1658,118921,-443.9,-1.16
1659,118981,-443.9,-1.16
1660,119042,-442,-0.84
1661,119101,-440,-0.51
1662,119160,-442.7,-0.95
1663,119221,-445.4,-1.4
1664,119283,-445.4,-1.4
1665,119345,-445,-1.33
1666,119406,-444.7,-1.27
1667,119467,-443.5,-1.07
1668,119528,-443.6,-1.09
1669,119589,-445,-1.31
1670,119650,-443.1,-1
1671,119710,-441.2,-0.68
1672,119770,-443.6,-1.07
1673,119831,-446,-1.47
1674,119894,-446,-1.47
1675,119955,-444.2,-1.16
1676,120016,-442.4,-0.86
1677,120076,-443.7,-1.08
1678,120138,-445,-1.29
1679,120199,-443.8,-1.09
1680,120259,-442.5,-0.87
1681,120319,-442.5,-0.86
1682,120379,-442.5,-0.86
1683,120439,-441.1,-0.63
1684,120498,-439.8,-0.41
1685,120555,-438.2,-0.14
1686,120612,-436.6,0.13
1687,120669,-437.3,0.02
1688,120726,-438,-0.1
1689,120783,-438.9,-0.24
1690,120841,-440.4,-0.49
1691,120900,-441,-0.59
1692,120959,-441,-0.58
1693,121018,-442,-0.75
1694,121079,-443.1,-0.93
1695,121139,-443.1,-0.92
1696,121199,-440.4,-0.47
1697,121256,-437.6,0
1698,121314,-439.5,-0.32
1699,121373,-441.5,-0.65
1700,121432,-441.5,-0.64
1701,121492,-441.4,-0.62
1702,121551,-441.3,-0.6
1703,121610,-441.3,-0.6
1704,121669,-439.6,-0.32
1705,121727,-437.9,-0.03
1706,121784,-437.9,-0.03
1707,121840,-436.1,0.28
1708,121896,-434.3,0.58
1709,121951,-434.3,0.59
1710,122006,-437.2,0.11
1711,122064,-440.1,-0.37
1712,122122,-438,-0.01
1713,122178,-436,0.32
1714,122234,-435.5,0.41
1715,122290,-435,0.5
1716,122345,-436.1,0.32
1717,122402,-437.3,0.13
1718,122458,-437.3,0.13
1719,122515,-436.5,0.27
1720,122571,-435.8,0.39
1721,122627,-437.1,0.18
1722,122684,-438.5,-0.05
1723,122742,-440.6,-0.39
1724,122801,-442.8,-0.75
1725,122861,-440.1,-0.3
1726,122919,-438.9,-0.09
1727,122977,-440.3,-0.32
1728,123036,-440.9,-0.41
1729,123095,-441.5,-0.51
1730,123154,-439.9,-0.24
1731,123211,-438.2,0.05
1732,123268,-435.3,0.54
1733,123322,-432.4,1.02
1734,123377,-434.8,0.63
1735,123432,-437.3,0.22
1736,123489,-437,0.27
1737,123545,-436.6,0.34
1738,123602,-437.2,0.25
1739,123658,-437.8,0.16
1740,123715,-436.1,0.44
1741,123770,-434.5,0.71
1742,123825,-434.5,0.72
1743,123880,-435.1,0.62
1744,123936,-435.8,0.51
1745,123991,-436.5,0.4
1746,124046,-432.5,1.07
1747,124100,-431.5,1.24
1748,124154,-435.4,0.59
1749,124209,-435.4,0.6
1750,124265,-435.4,0.6
1751,124320,-436,0.5
1752,124376,-436.6,0.4
1753,124432,-436,0.5
1754,124488,-435.5,0.58
1755,124544,-435.3,0.62
1756,124599,-435.1,0.65
1757,124654,-435.3,0.62
1758,124710,-435.4,0.6
1759,124765,-435.4,0.6
1760,124821,-435.1,0.65
1761,124877,-437.4,0.27
1762,124935,-439.9,-0.14
1763,124993,-438.8,0.04
1764,125050,-437.6,0.24
1765,125107,-436.2,0.47
1766,125162,-434.9,0.6899999999999999
1767,125217,-433.3,0.95
1768,125271,-431.7,1.22
1769,125325,-433.5,0.92
1770,125380,-435.4,0.61
1771,125435,-434.1,0.82
1772,125490,-432.9,1.02
1773,125544,-432.6,1.07
1774,125598,-432.4,1.11
1775,125653,-434.5,0.76
1776,125708,-436.5,0.43
1777,125765,-436.4,0.45
1778,125821,-435.9,0.53
1779,125877,-435.4,0.61
1780,125933,-435.8,0.55
1781,125989,-436.3,0.47
1782,126046,-436.8,0.38
1783,126103,-437.4,0.28
1784,126160,-438.1,0.17
1785,126217,-435.9,0.53
1786,126272,-432.9,1.03
1787,126327,-433.1,1
1788,126381,-433.3,0.97
1789,126436,-433.5,0.93
1790,126491,-433.7,0.9
1791,126545,-431.5,1.26
1792,126598,-429.3,1.61
1793,126650,-427.3,1.93
1794,126700,-423.8,2.5
1795,126749,-422.3,2.74
1796,126799,-426.3,2.07
1797,126851,-430.2,1.41
1798,126904,-428.2,1.73
1799,126955,-426.1,2.07
1800,127006,-426.1,2.06
1801,127057,-426.1,2.05
1802,127108,-426.1,2.04
1803,127159,-425.5,2.13
1804,127210,-424.9,2.22
1805,127260,-424.2,2.33
1806,127310,-423.5,2.44
1807,127360,-423.4,2.44
1808,127410,-423.2,2.46
1809,127460,-423.7,2.37
1810,127510,-424.1,2.29
1811,127560,-423.3,2.4
1812,127610,-422.5,2.52
1813,127660,-423.3,2.37
1814,127710,-424.1,2.22
1815,127760,-422.7,2.43
1816,127810,-421.7,2.58
1817,127860,-422.1,2.49
1818,127910,-424,2.16
1819,127961,-424.5,2.06
1820,128012,-423.2,2.26
1821,128062,-421.7,2.49
1822,128112,-420.2,2.72
1823,128161,-420.2,2.7
1824,128210,-420.2,2.68
1825,128259,-421.2,2.5
1826,128309,-419.4,2.78
1827,128357,-416.6,3.23
1828,128405,-416.9,3.16
1829,128453,-417.2,3.08
1830,128501,-417.2,3.06
1831,128549,-419.1,2.71
1832,128599,-421,2.37
1833,128650,-422.4,2.11
1834,128702,-423.7,1.87
1835,128753,-421.8,2.16
1836,128804,-419.9,2.45
1837,128854,-421.2,2.2
1838,128906,-422.5,1.96
1839,128958,-423.9,1.7
1840,129011,-425.3,1.44
1841,129065,-425.3,1.42
1842,129119,-425.3,1.39
1843,129172,-422.5,1.83
1844,129224,-419.8,2.25
1845,129274,-418,2.52
1846,129324,-416.3,2.78
1847,129374,-419.6,2.2
1848,129428,-428.7,0.67
1849,129486,-434.5,-0.31
1850,129545,-429.1,0.5600000000000001
1851,129600,-423.8,1.42
1852,129653,-421.5,1.78
1853,129705,-419.1,2.16
1854,129757,-420.2,1.95
1855,129809,-421.4,1.73
1856,129863,-422.1,1.6
1857,129916,-423.7,1.31
1858,129971,-424.6,1.14
1859,130026,-422.5,1.47
1860,130079,-420.3,1.81
1861,130131,-420.3,1.79
1862,130185,-423.5,1.24
1863,130241,-426.7,0.68
1864,130297,-425.4,0.88
1865,130353,-425.5,0.84
1866,130410,-426.9,0.59
1867,130467,-427,0.57
1868,130525,-427.2,0.53
1869,130582,-428,0.4
1870,130641,-428.9,0.24
1871,130699,-429.5,0.14
1872,130759,-431.1,-0.13
1873,130819,-432.2,-0.31
1874,130880,-432.9,-0.43
1875,130942,-433.5,-0.54
1876,131004,-433.6,-0.5600000000000001
1877,131066,-433.7,-0.58
1878,131128,-435,-0.79
1879,131190,-432.7,-0.42
1880,131250,-429.2,0.16
1881,131311,-433.1,-0.49
1882,131374,-437,-1.14
1883,131439,-439.4,-1.54
1884,131506,-441.8,-1.94
1885,131574,-440.5,-1.73
1886,131641,-439.2,-1.51
1887,131707,-439,-1.48
1888,131773,-438.8,-1.45
1889,131840,-441.3,-1.87
1890,131908,-443.8,-2.28
1891,131978,-443.5,-2.23
1892,132048,-445,-2.48
1893,132120,-446.8,-2.78
1894,132192,-446.8,-2.78
1895,132264,-445.7,-2.6
1896,132335,-444.6,-2.42
1897,132406,-444.7,-2.44
1898,132477,-445.2,-2.52
1899,132548,-445.5,-2.57
1900,132619,-445.5,-2.58
1901,132691,-445.5,-2.58
1902,132763,-446.6,-2.76
1903,132836,-449,-3.16
1904,132911,-450.2,-3.36
1905,132987,-451.7,-3.61
1906,133065,-453.1,-3.84
1907,133142,-452.2,-3.69
1908,133219,-451.3,-3.54
1909,133296,-452.5,-3.73
1910,133374,-453.7,-3.93
1911,133452,-451.6,-3.58
1912,133528,-449.5,-3.23
1913,133603,-449.5,-3.23
1914,133679,-453,-3.81
1915,133759,-456.6,-4.41
1916,133841,-456.9,-4.46
1917,133923,-457,-4.47
1918,134005,-459.5,-4.89
1919,134091,-461.9,-5.28
1920,134178,-462.6,-5.4
1921,134266,-464.7,-5.74
1922,134356,-465.8,-5.93
1923,134447,-466.8,-6.09
1924,134538,-464.8,-5.76
1925,134628,-464.7,-5.74
1926,134719,-468.6,-6.39
1927,134815,-472.1,-6.97
1928,134912,-471.7,-6.9
1929,135009,-471.6,-6.88
1930,135107,-473.4,-7.18
1931,135207,-473.9,-7.26
1932,135308,-475.2,-7.48
1933,135408,-474.1,-7.3
1934,135507,-471.3,-6.83
1935,135604,-471.8,-6.91
1936,135702,-473.1,-7.13
1937,135802,-474.3,-7.33
1938,135903,-474.2,-7.31
1939,136003,-473.2,-7.14
1940,136103,-475.4,-7.51
1941,136206,-477.2,-7.81
1942,136309,-475,-7.44
1943,136411,-474.7,-7.39
1944,136512,-475.6,-7.54
1945,136614,-474.1,-7.29
1946,136715,-475.4,-7.51
1947,136819,-478,-7.94
1948,136923,-476.1,-7.62
1949,137026,-475.4,-7.5
1950,137130,-477.3,-7.82
1951,137235,-478,-7.93
1952,137341,-478.3,-7.98
1953,137446,-476.7,-7.72
1954,137549,-475.1,-7.45
1955,137651,-475.2,-7.47
1956,137754,-475.7,-7.55
1957,137858,-477.7,-7.88
1958,137966,-481.5,-8.51
1959,138078,-483.8,-8.890000000000001
1960,138193,-485.9,-9.24
1961,138308,-484.1,-8.94
1962,138420,-482,-8.59
1963,138532,-482.8,-8.720000000000001
1964,138644,-482.5,-8.67
1965,138756,-482.5,-8.67
1966,138868,-482,-8.59
1967,138978,-480.3,-8.300000000000001
1968,139087,-480.3,-8.300000000000001
1969,139197,-481.7,-8.529999999999999
1970,139308,-480.9,-8.4
1971,139418,-480.9,-8.4
1972,139530,-482.7,-8.699999999999999
1973,139643,-483.7,-8.859999999999999
1974,139756,-482.5,-8.66
1975,139868,-481.1,-8.43
1976,139979,-482.4,-8.640000000000001
1977,140093,-484.5,-8.99
1978,140207,-483.5,-8.82
1979,140319,-480.6,-8.34
1980,140430,-481.2,-8.44
1981,140542,-482.6,-8.67
1982,140655,-482.2,-8.6
1983,140766,-480.9,-8.380000000000001
1984,140876,-479.3,-8.109999999999999
1985,140986,-482.2,-8.59
1986,141100,-483.2,-8.75
1987,141212,-481,-8.380000000000001
1988,141323,-480.6,-8.31
1989,141434,-482,-8.539999999999999
1990,141547,-483,-8.699999999999999
1991,141661,-482.3,-8.58
1992,141773,-481.9,-8.51
1993,141885,-481.2,-8.390000000000001
1994,141997,-482.1,-8.539999999999999
1995,142108,-480.1,-8.210000000000001
1996,142218,-479.6,-8.119999999999999
1997,142329,-481.1,-8.359999999999999
1998,142440,-480.4,-8.25
1999,142551,-481.9,-8.49
2000,142665,-483.4,-8.73
2001,142779,-483.1,-8.68
2002,142893,-482.5,-8.58
2003,143006,-481.5,-8.41
2004,143117,-479.6,-8.09
2005,143227,-480.1,-8.17
2006,143338,-481,-8.31
2007,143450,-481.2,-8.34
2008,143562,-481.2,-8.34
2009,143675,-483.1,-8.65
2010,143790,-484.5,-8.869999999999999
2011,143905,-481.4,-8.359999999999999
2012,144016,-479,-7.95
2013,144126,-480.4,-8.18
2014,144237,-480.1,-8.130000000000001
2015,144346,-477.6,-7.71
2016,144453,-478.1,-7.79
2017,144562,-478.5,-7.85
2018,144671,-479,-7.93
2019,144782,-480.7,-8.210000000000001
2020,144894,-481.4,-8.32
2021,145006,-480.6,-8.19
2022,145116,-478.9,-7.9
2023,145226,-479.5,-8
2024,145337,-480.3,-8.130000000000001
2025,145449,-481.4,-8.31
2026,145563,-483.3,-8.619999999999999
2027,145678,-482.5,-8.49
2028,145792,-481.6,-8.34
2029,145905,-482.3,-8.449999999999999
2030,146019,-481.5,-8.31
2031,146131,-479.6,-8
2032,146242,-479.6,-7.99
2033,146352,-478.8,-7.86
2034,146461,-477.9,-7.71
2035,146570,-478.6,-7.82
2036,146681,-479.6,-7.98
2037,146792,-479.8,-8.02
2038,146903,-479.7,-8
2039,147014,-479,-7.88
2040,147124,-479.4,-7.95
2041,147236,-479.8,-8.02
2042,147347,-479.8,-8.02
2043,147459,-480.6,-8.15
2044,147572,-480,-8.050000000000001
2045,147684,-479.5,-7.97
2046,147796,-481.2,-8.25
2047,147910,-481.6,-8.32
2048,148025,-482.5,-8.470000000000001
2049,148141,-482.4,-8.449999999999999
2050,148253,-477.7,-7.67
2051,148362,-476.8,-7.52
2052,148471,-477.9,-7.7
2053,148581,-477.5,-7.64
2054,148691,-478.7,-7.84
2055,148802,-478.7,-7.84
2056,148913,-478,-7.72
2057,149022,-477.4,-7.62
2058,149132,-476.9,-7.54
2059,149241,-477.7,-7.67
2060,149351,-476.8,-7.52
2061,149460,-476.4,-7.46
2062,149569,-477.6,-7.66
2063,149679,-477.5,-7.64
2064,149789,-477.3,-7.61
2065,149899,-477.1,-7.57
2066,150008,-475.7,-7.34
2067,150116,-475.6,-7.33
2068,150224,-476.9,-7.54
2069,150333,-475.7,-7.34
2070,150440,-473.2,-6.93
2071,150545,-473.4,-6.96
2072,150653,-476.2,-7.43
2073,150762,-476.1,-7.41
2074,150868,-472.1,-6.75
2075,150972,-471.3,-6.61
2076,151076,-472.8,-6.86
2077,151181,-473.1,-6.91
2078,151287,-473.1,-6.91
2079,151393,-475,-7.22
2080,151502,-476.2,-7.42
2081,151611,-476,-7.38
2082,151721,-476.1,-7.4
2083,151832,-478.7,-7.82
2084,151945,-479.1,-7.89
2085,152058,-479.1,-7.89
2086,152171,-477.9,-7.69
2087,152283,-478.4,-7.77
2088,152398,-480.7,-8.15
2089,152513,-480.3,-8.08
2090,152628,-479,-7.86
2091,152740,-477.7,-7.64
2092,152852,-476.8,-7.49
2093,152963,-477.9,-7.67
2094,153076,-477.7,-7.64
2095,153188,-478.5,-7.78
2096,153301,-477.9,-7.68
2097,153412,-475.2,-7.23
2098,153523,-477.5,-7.61
2099,153637,-480.2,-8.06
2100,153753,-480.4,-8.1
2101,153868,-478.2,-7.74
2102,153981,-477.5,-7.62
2103,154094,-478.1,-7.72
2104,154207,-477.6,-7.64
2105,154322,-480.6,-8.140000000000001
2106,154438,-478.9,-7.86
2107,154551,-475.9,-7.37
2108,154664,-478.8,-7.85
2109,154783,-485.7,-9
2110,154907,-484.5,-8.800000000000001
2111,155029,-482.9,-8.529999999999999
2112,155151,-484.7,-8.84
2113,155271,-480,-8.06
2114,155388,-480.1,-8.08
2115,155506,-480.9,-8.210000000000001
2116,155625,-482,-8.4
2117,155743,-478.9,-7.89
2118,155861,-481.8,-8.369999999999999
2119,155983,-484.8,-8.869999999999999
2120,156105,-481.2,-8.279999999999999
2121,156225,-482.5,-8.5
2122,156349,-486,-9.08
2123,156473,-482.7,-8.539999999999999
2124,156593,-480.5,-8.17
2125,156714,-482.6,-8.52
2126,156835,-482.4,-8.49
2127,156957,-482.7,-8.550000000000001
2128,157080,-482.9,-8.58
2129,157202,-482.4,-8.5
2130,157324,-482.9,-8.59
2131,157444,-478.4,-7.84
2132,157560,-477.5,-7.69
2133,157677,-478.8,-7.91
2134,157793,-477.4,-7.67
2135,157909,-477.9,-7.75
2136,158026,-479,-7.93
2137,158140,-473.2,-6.97
2138,158250,-473,-6.93
2139,158359,-471.2,-6.63
2140,158469,-474.2,-7.13
2141,158584,-479.8,-8.050000000000001
2142,158702,-477.2,-7.62
2143,158815,-473.9,-7.07
2144,158925,-471.2,-6.62
2145,159033,-471.8,-6.72
2146,159139,-466.8,-5.89
2147,159240,-463.1,-5.27
2148,159340,-465.3,-5.63
2149,159444,-471,-6.58
2150,159548,-463.7,-5.36
2151,159651,-469.2,-6.27
2152,159757,-469.8,-6.37
2153,159865,-470.9,-6.54
2154,159971,-467.3,-5.94
2155,160076,-469.2,-6.25
2156,160184,-472.3,-6.76
2157,160293,-471.8,-6.67
2158,160403,-472.5,-6.78
2159,160514,-472.6,-6.79
2160,160626,-476.3,-7.4
2161,160740,-473,-6.85
2162,160851,-474.4,-7.07
2163,160963,-472.7,-6.79
2164,161077,-476.9,-7.48
2165,161192,-476.1,-7.34
2166,161308,-477.2,-7.52
2167,161427,-480,-7.97
2168,161545,-476.6,-7.41
2169,161661,-476.5,-7.38
2170,161776,-474.4,-7.03
2171,161890,-475.7,-7.25
2172,162005,-475.3,-7.18
2173,162117,-471.8,-6.6
2174,162227,-471.8,-6.6
2175,162336,-469.5,-6.22
2176,162440,-464.9,-5.46
2177,162543,-465.7,-5.59
2178,162649,-471.8,-6.6
2179,162759,-470.7,-6.42
2180,162867,-469,-6.14
2181,162976,-471.3,-6.52
2182,163089,-475.7,-7.25
2183,163204,-474.4,-7.03
2184,163318,-474.5,-7.05
2185,163432,-474.2,-7
2186,163546,-473.1,-6.81
2187,163660,-475.6,-7.23
2188,163777,-476.6,-7.39
2189,163896,-478.2,-7.66
2190,164016,-478.8,-7.76
2191,164136,-477.7,-7.58
2192,164258,-481.8,-8.26
2193,164385,-483,-8.460000000000001
2194,164512,-483.7,-8.57
2195,164642,-484.9,-8.77
2196,164769,-480.9,-8.109999999999999
2197,164894,-482,-8.289999999999999
2198,165021,-482.9,-8.44
2199,165148,-482,-8.300000000000001
2200,165274,-482.1,-8.31
2201,165399,-479.1,-7.82
2202,165522,-480.1,-7.98
2203,165646,-481.2,-8.17
2204,165774,-483.6,-8.57
2205,165903,-483.4,-8.529999999999999
2206,166029,-480,-7.97
2207,166155,-482.8,-8.44
2208,166284,-482.5,-8.390000000000001
2209,166411,-480.9,-8.119999999999999
2210,166537,-482.2,-8.34
2211,166662,-478,-7.65
2212,166785,-479.5,-7.9
2213,166909,-479,-7.82
2214,167035,-482.8,-8.449999999999999
2215,167164,-481.6,-8.25
2216,167290,-480,-7.99
2217,167414,-478.6,-7.76
2218,167539,-479.8,-7.96
2219,167664,-479.8,-7.96
2220,167790,-480.3,-8.050000000000001
2221,167915,-479.3,-7.89
2222,168039,-477.3,-7.56
2223,168159,-474.7,-7.13
2224,168276,-471.8,-6.65
2225,168391,-471.6,-6.62
2226,168506,-473.3,-6.9
2227,168623,-472.1,-6.71
2228,168739,-473.5,-6.94
2229,168857,-474.1,-7.05
2230,168974,-471.3,-6.59
2231,169088,-469.7,-6.33
2232,169201,-469.7,-6.33
2233,169314,-469.4,-6.29
2234,169425,-466.5,-5.81
2235,169531,-462.1,-5.08
2236,169638,-466.6,-5.83
2237,169750,-470.4,-6.47
2238,169866,-472.8,-6.87
2239,169983,-471.2,-6.61
2240,170101,-473.6,-7.01
2241,170221,-475.3,-7.3
2242,170340,-471.7,-6.71
2243,170455,-468.8,-6.23
2244,170568,-467.7,-6.05
2245,170683,-472.5,-6.85
2246,170803,-474.9,-7.25
2247,170922,-471.1,-6.61
2248,171040,-473.5,-7.01
2249,171165,-479.3,-7.97
2250,171289,-473.5,-7
2251,171405,-468.4,-6.16
2252,171519,-469.1,-6.27
2253,171638,-476,-7.41
2254,171760,-472.8,-6.88
2255,171880,-474,-7.08
2256,172004,-477.5,-7.65
2257,172132,-479.9,-8.050000000000001
2258,172262,-480.5,-8.15
2259,172393,-480.5,-8.140000000000001
2260,172522,-476.8,-7.53
2261,172647,-477,-7.56
2262,172774,-477.5,-7.64
2263,172900,-476.7,-7.51
2264,173027,-478,-7.72
2265,173153,-475.5,-7.31
2266,173275,-473,-6.89
2267,173397,-474.3,-7.11
2268,173519,-473.4,-6.96
2269,173642,-474.4,-7.13
2270,173761,-469.4,-6.3
2271,173875,-466,-5.74
2272,173988,-467,-5.91
2273,174105,-472.7,-6.86
2274,174226,-472,-6.74
2275,174344,-468.6,-6.18
2276,174459,-467.6,-6.02
2277,174573,-467.2,-5.95
2278,174688,-468,-6.09
2279,174804,-469.1,-6.27
2280,174920,-467,-5.92
2281,175034,-467.6,-6.02
2282,175150,-468.3,-6.14
2283,175266,-468.4,-6.16
2284,175386,-472.5,-6.84
2285,175509,-475,-7.25
2286,175630,-468,-6.09
2287,175746,-467.7,-6.04
2288,175866,-473.5,-7
2289,175991,-474.8,-7.22
2290,176117,-474.9,-7.23
2291,176244,-476.9,-7.56
2292,176373,-475.5,-7.33
2293,176501,-476.5,-7.5
2294,176630,-477,-7.58
2295,176759,-476.8,-7.54
2296,176887,-474.7,-7.19
2297,177015,-476.5,-7.49
2298,177142,-474,-7.08
2299,177268,-473.9,-7.06
2300,177393,-472.8,-6.88
2301,177517,-473.1,-6.92
2302,177644,-476,-7.4
2303,177773,-476.2,-7.44
2304,177900,-473.2,-6.94
2305,178026,-474,-7.07
2306,178153,-475.1,-7.25
2307,178283,-477.5,-7.64
2308,178417,-480.8,-8.19
2309,178554,-480.6,-8.15
2310,178691,-481.4,-8.279999999999999
2311,178830,-481.8,-8.35
2312,178965,-476.7,-7.5
2313,179093,-472.3,-6.77
2314,179217,-471.6,-6.65
2315,179342,-473.7,-7
2316,179468,-472.7,-6.83
2317,179590,-468.2,-6.08
2318,179706,-463.5,-5.3
2319,179820,-464.7,-5.49
2320,179939,-470.1,-6.39
2321,180060,-469.8,-6.34
2322,180182,-469.9,-6.35
2323,180304,-469.5,-6.28
2324,180426,-470.5,-6.44
2325,180546,-466.1,-5.71
2326,180663,-465.7,-5.64
2327,180780,-465.7,-5.64
2328,180895,-463.8,-5.32
2329,181011,-466.3,-5.73
2330,181132,-471.8,-6.64
2331,181259,-473.5,-6.92
2332,181382,-466.8,-5.8
2333,181502,-469.2,-6.2
2334,181626,-472.7,-6.77
2335,181753,-472.3,-6.71
2336,181881,-473.8,-6.95
2337,182011,-475.9,-7.3
2338,182146,-479.4,-7.87
2339,182284,-480.2,-8
2340,182421,-477.3,-7.52
2341,182556,-478.2,-7.66
2342,182694,-480.7,-8.08
2343,182830,-476,-7.29
2344,182965,-478.5,-7.7
2345,183102,-478.9,-7.77
2346,183243,-483.8,-8.58
2347,183386,-481,-8.109999999999999
2348,183525,-478.2,-7.64
2349,183664,-481.4,-8.17
2350,183807,-481.6,-8.199999999999999
2351,183948,-480.9,-8.08
2352,184088,-479.2,-7.79
2353,184229,-481.1,-8.1
2354,184367,-476.7,-7.37
2355,184501,-475.1,-7.1
2356,184641,-484.9,-8.720000000000001
2357,184787,-481.8,-8.210000000000001
2358,184928,-479.1,-7.75
2359,185069,-481.2,-8.1
2360,185212,-482,-8.23
2361,185354,-479.1,-7.75
2362,185494,-480.3,-7.94
2363,185640,-485,-8.720000000000001
2364,185788,-483.6,-8.49
2365,185931,-478.5,-7.64
2366,186071,-480.1,-7.9
2367,186213,-480.6,-7.98
2368,186356,-480.4,-7.95
2369,186499,-481.6,-8.140000000000001
2370,186642,-478.8,-7.68
2371,186784,-481.3,-8.09
2372,186927,-480.4,-7.94
2373,187067,-476.9,-7.36
2374,187204,-476.4,-7.27
2375,187343,-479.3,-7.75
2376,187486,-481.7,-8.140000000000001
2377,187630,-479.5,-7.78
2378,187770,-477.4,-7.42
2379,187907,-475,-7.01
2380,188042,-475.2,-7.03
2381,188181,-480.3,-7.87
2382,188324,-480.2,-7.84
2383,188467,-479,-7.63
2384,188609,-480.8,-7.92
2385,188752,-478.4,-7.51
2386,188892,-478.2,-7.46
2387,189030,-476.1,-7.1
2388,189165,-473.4,-6.64
2389,189297,-472.5,-6.48
2390,189431,-476.2,-7.08
2391,189568,-475.9,-7.02
2392,189702,-473.6,-6.63
2393,189832,-470,-6.02
2394,189961,-471.6,-6.27
2395,190092,-473,-6.49
2396,190222,-470.1,-6
2397,190348,-467.8,-5.61
2398,190469,-463.2,-4.84
2399,190587,-463,-4.79
2400,190705,-462.6,-4.72
2401,190822,-461.4,-4.51
2402,190934,-456,-3.6
2403,191043,-456.5,-3.68
2404,191156,-462.3,-4.63
2405,191276,-465.7,-5.18
2406,191398,-466.8,-5.35
2407,191522,-467.8,-5.51
2408,191647,-468.1,-5.55
2409,191771,-467,-5.36
2410,191895,-467.7,-5.46
2411,192018,-464.8,-4.97
2412,192138,-464,-4.83
2413,192258,-465.2,-5.02
2414,192382,-468.2,-5.51
2415,192509,-470.3,-5.85
2416,192638,-471.3,-6.01
2417,192768,-471.1,-5.97
2418,192895,-467.4,-5.35
2419,193022,-470.4,-5.84
2420,193152,-472.7,-6.21
2421,193285,-473.1,-6.28
2422,193421,-476.2,-6.78
2423,193556,-473,-6.25
2424,193687,-469.6,-5.68
2425,193816,-470.9,-5.89
2426,193946,-470.9,-5.88
2427,194075,-469.4,-5.63
2428,194201,-466.8,-5.19
2429,194324,-464.5,-4.8
2430,194444,-462.9,-4.53
2431,194565,-465.5,-4.96
2432,194687,-464.5,-4.79
2433,194806,-461.2,-4.23
2434,194926,-466.3,-5.07
2435,195051,-467.2,-5.22
2436,195175,-465.3,-4.9
2437,195298,-464.8,-4.81
2438,195420,-465.5,-4.92
2439,195546,-468.9,-5.48
2440,195676,-471.3,-5.88
2441,195808,-471.8,-5.95
2442,195940,-470.8,-5.78
2443,196071,-470.5,-5.73
2444,196202,-469.7,-5.59
2445,196332,-470.5,-5.72
2446,196463,-470.5,-5.72
2447,196593,-468.9,-5.45
2448,196722,-468.5,-5.37
2449,196846,-463.2,-4.49
2450,196965,-460.5,-4.04
2451,197086,-465.5,-4.86
2452,197211,-467.4,-5.17
2453,197338,-466.2,-4.97
2454,197462,-465.1,-4.79
2455,197587,-465.6,-4.87
2456,197711,-465.4,-4.83
2457,197833,-462.2,-4.3
2458,197954,-463.3,-4.48
2459,198075,-460.8,-4.07
2460,198192,-459.5,-3.85
2461,198309,-459.2,-3.8
2462,198426,-459.3,-3.81
2463,198542,-458.5,-3.68
2464,198656,-455.6,-3.2
2465,198768,-456.2,-3.29
2466,198881,-454.9,-3.08
2467,198992,-454.2,-2.96
2468,199104,-456.7,-3.37
2469,199220,-459.5,-3.84
2470,199337,-458.2,-3.62
2471,199452,-456.9,-3.4
2472,199567,-458.3,-3.63
2473,199682,-455.5,-3.17
2474,199793,-453.2,-2.8
2475,199904,-454.1,-2.95
2476,200015,-452.4,-2.68
2477,200124,-453,-2.78
2478,200236,-454.7,-3.07
2479,200345,-449.6,-2.23
2480,200451,-448.3,-2.02
2481,200558,-450.7,-2.42
2482,200666,-451,-2.48
2483,200776,-453,-2.82
2484,200887,-453.1,-2.84
2485,200998,-452.7,-2.78
2486,201109,-451.5,-2.59
2487,201216,-447.3,-1.9
2488,201319,-444.8,-1.49
2489,201423,-447.6,-1.96
2490,201529,-448.5,-2.11
2491,201635,-447.7,-1.99
2492,201742,-449.3,-2.26
2493,201849,-448.2,-2.08
2494,201957,-449.7,-2.34
2495,202065,-447.7,-2.02
2496,202169,-444.7,-1.53
2497,202275,-449.9,-2.4
2498,202386,-451,-2.59
2499,202496,-450.5,-2.51
2500,202607,-450.6,-2.54
2501,202717,-449.4,-2.35
2502,202826,-449,-2.29
2503,202936,-450.2,-2.49
2504,203046,-449.5,-2.38
2505,203155,-447,-1.98
2506,203262,-446.5,-1.9
2507,203370,-449.1,-2.34
2508,203481,-450.4,-2.56
2509,203592,-449.6,-2.43
2510,203704,-451.4,-2.73
2511,203818,-452.5,-2.92
2512,203933,-453.1,-3.03
2513,204049,-453.5,-3.1
2514,204164,-451.1,-2.71
2515,204278,-451.9,-2.84
2516,204394,-454.3,-3.25
2517,204512,-453.8,-3.17
2518,204629,-452.4,-2.94
2519,204743,-450.1,-2.56
2520,204857,-451.4,-2.78
2521,204973,-453.7,-3.17
2522,205092,-456,-3.55
2523,205214,-456.8,-3.69
2524,205336,-456.7,-3.68
2525,205458,-456.4,-3.63
2526,205582,-458.3,-3.95
2527,205708,-460.1,-4.25
2528,205836,-460.7,-4.35
2529,205965,-461.3,-4.45
2530,206097,-464.3,-4.95
2531,206232,-464.9,-5.05
2532,206366,-462.6,-4.67
2533,206496,-460.9,-4.39
2534,206627,-462.3,-4.62
2535,206759,-462.5,-4.65
2536,206890,-460.2,-4.27
2537,207019,-460.8,-4.37
2538,207149,-460.3,-4.29
2539,207278,-460.4,-4.31
2540,207409,-461.5,-4.49
2541,207540,-460.8,-4.37
2542,207671,-461.4,-4.47
2543,207803,-461.7,-4.51
2544,207933,-459.3,-4.11
2545,208061,-458.8,-4.02
2546,208191,-460.8,-4.35
2547,208319,-456.9,-3.7
2548,208445,-457.6,-3.81
2549,208571,-456.8,-3.68
2550,208696,-456.3,-3.59
2551,208821,-456.4,-3.6
2552,208946,-456.1,-3.55
2553,209072,-457,-3.7
2554,209195,-453.2,-3.06
2555,209315,-452.1,-2.88
2556,209436,-453.9,-3.17
2557,209560,-456.2,-3.55
2558,209686,-457.3,-3.73
2559,209812,-455.8,-3.48
2560,209938,-456.4,-3.58
2561,210062,-453.4,-3.07
2562,210182,-450,-2.51
2563,210300,-450.8,-2.64
2564,210418,-451,-2.67
2565,210538,-452.5,-2.91
2566,210659,-451.8,-2.79
2567,210777,-449,-2.33
2568,210893,-447.9,-2.14
2569,211009,-448.3,-2.21
2570,211127,-450.9,-2.64
2571,211246,-451.1,-2.67
2572,211366,-450.5,-2.56
2573,211485,-450.3,-2.53
2574,211603,-448.8,-2.28
2575,211721,-450.8,-2.61
2576,211842,-452,-2.8
2577,211960,-447.2,-2
2578,212075,-447.4,-2.03
2579,212190,-446.1,-1.81
2580,212305,-448.3,-2.17
2581,212422,-447.7,-2.07
2582,212538,-447.5,-2.03
2583,212653,-445.2,-1.65
2584,212766,-445.1,-1.63
2585,212881,-447.8,-2.07
2586,212996,-445.3,-1.65
2587,213109,-444.4,-1.5
2588,213223,-447.2,-1.96
2589,213338,-446,-1.76
2590,213453,-445.5,-1.67
2591,213567,-446.4,-1.82
2592,213684,-447.8,-2.06
2593,213799,-444.1,-1.45
2594,213911,-443.5,-1.35
2595,214024,-444.9,-1.58
2596,214138,-444.4,-1.5
2597,214251,-443.8,-1.4
2598,214364,-443.8,-1.41
2599,214478,-445,-1.61
2600,214592,-444.8,-1.58
2601,214706,-443.5,-1.36
2602,214819,-443,-1.29
2603,214932,-443.6,-1.39
2604,215047,-445.2,-1.67
2605,215161,-443.5,-1.4
2606,215274,-442.5,-1.24
2607,215386,-441.1,-1.02
2608,215497,-440.4,-0.91
2609,215608,-442.2,-1.22
2610,215723,-445.3,-1.74
2611,215839,-443.5,-1.45
2612,215955,-445.5,-1.79
2613,216075,-448.4,-2.28
2614,216197,-449,-2.39
2615,216319,-447.3,-2.11
2616,216439,-447.4,-2.14
2617,216560,-447.1,-2.1
2618,216678,-442.8,-1.39
2619,216792,-440.7,-1.05
2620,216904,-440.2,-0.97
2621,217018,-441.7,-1.23
2622,217131,-440.7,-1.07
2623,217244,-439.4,-0.86
2624,217356,-440.3,-1.02
2625,217470,-440.9,-1.13
2626,217584,-441.3,-1.2
2627,217699,-441.1,-1.18
2628,217817,-447.1,-2.18
2629,217939,-446.2,-2.04
2630,218060,-445,-1.85
2631,218181,-445.7,-1.97
2632,218303,-446.3,-2.08
2633,218426,-447,-2.2
2634,218551,-449.5,-2.62
2635,218681,-453.1,-3.23
2636,218814,-452.9,-3.2
2637,218946,-451.3,-2.94
2638,219076,-451,-2.9
2639,219207,-451.4,-2.98
2640,219339,-452.5,-3.17
2641,219472,-453.5,-3.35
2642,219605,-450.4,-2.84
2643,219738,-453.8,-3.42
2644,219878,-459.5,-4.37
2645,220023,-459.1,-4.31
2646,220167,-458.5,-4.23
2647,220312,-459.7,-4.43
2648,220461,-463,-4.99
2649,220613,-462,-4.84
2650,220761,-459,-4.35
2651,220907,-459.8,-4.49
2652,221058,-463,-5.03
2653,221210,-462.1,-4.89
2654,221363,-462.4,-4.95
2655,221520,-467.4,-5.78
2656,221684,-469.8,-6.19
2657,221850,-468.7,-6.02
2658,222015,-468.9,-6.06
2659,222182,-469.8,-6.21
2660,222355,-474.9,-7.07
2661,222535,-476.2,-7.29
2662,222711,-471.3,-6.49
2663,222885,-473,-6.78
2664,223062,-474.5,-7.02
2665,223240,-473.7,-6.89
2666,223420,-476.2,-7.3
2667,223605,-478.2,-7.63
2668,223792,-478,-7.6
2669,223979,-477.7,-7.55
2670,224164,-476.6,-7.36
2671,224351,-478.3,-7.64
2672,224536,-475.6,-7.19
2673,224716,-472.4,-6.66
2674,224888,-467.8,-5.89
2675,225058,-469.8,-6.22
2676,225229,-469.7,-6.2
2677,225399,-467.8,-5.88
2678,225562,-462.5,-4.99
2679,225726,-468.4,-5.96
2680,225900,-472.2,-6.59
2681,226072,-467,-5.72
2682,226238,-466.2,-5.58
2683,226408,-469.8,-6.17
2684,226582,-470.8,-6.33
2685,226758,-472.1,-6.53
2686,226939,-475.2,-7.04
2687,227128,-479.2,-7.7
2688,227321,-478.8,-7.62
2689,227512,-476.3,-7.19
2690,227699,-475.9,-7.12
2691,227883,-474.1,-6.81
2692,228064,-472.3,-6.5
2693,228241,-469.4,-6.01
2694,228416,-470.6,-6.19
2695,228596,-474.4,-6.81
2696,228783,-477.6,-7.33
2697,228974,-477.7,-7.34
2698,229165,-476.9,-7.19
2699,229354,-475.9,-7.01
2700,229541,-475.2,-6.89
2701,229726,-474.2,-6.71
2702,229909,-472.1,-6.34
2703,230088,-471,-6.15
2704,230264,-469.3,-5.85
2705,230440,-471.3,-6.17
2706,230618,-470,-5.94
2707,230794,-470.2,-5.96
2708,230972,-471.1,-6.09
2709,231146,-466.8,-5.37
2710,231315,-465.6,-5.15
2711,231482,-465.2,-5.07
2712,231649,-464.7,-4.98
2713,231815,-464.5,-4.93
2714,231979,-462.2,-4.54
2715,232140,-461.3,-4.38
2716,232299,-460.4,-4.21
2717,232458,-460.9,-4.29
2718,232617,-460.2,-4.16
2719,232774,-458.8,-3.91
2720,232930,-458.2,-3.8
2721,233083,-456.1,-3.44
2722,233236,-457.5,-3.66
2723,233390,-457.9,-3.71
2724,233542,-455.2,-3.26
2725,233691,-452.9,-2.87
2726,233836,-451.2,-2.59
2727,233979,-449.6,-2.33
2728,234122,-452.3,-2.78
2729,234268,-451.6,-2.66
2730,234411,-448.9,-2.22
2731,234552,-448.9,-2.22
2732,234694,-449.1,-2.25
2733,234837,-451.5,-2.65
2734,234984,-452.2,-2.77
2735,235129,-450.2,-2.44
2736,235271,-447.1,-1.93
2737,235411,-447,-1.92
2738,235552,-448.9,-2.24
2739,235694,-448.2,-2.13
2740,235836,-448,-2.11
2741,235977,-446.6,-1.89
2742,236114,-443.9,-1.45
2743,236250,-443.6,-1.4
2744,236385,-441.8,-1.11
2745,236518,-442.1,-1.17
2746,236652,-441.9,-1.15
2747,236785,-440.6,-0.9399999999999999
2748,236916,-438.5,-0.6
2749,237043,-434.2,0.1
2750,237166,-433.8,0.16
2751,237288,-431.8,0.48
2752,237410,-432.5,0.36
2753,237529,-428.4,1.03
2754,237643,-424.1,1.73
2755,237755,-424,1.74
2756,237866,-422.4,1.99
2757,237975,-421.1,2.2
2758,238084,-421.7,2.09
2759,238194,-422.8,1.9
2760,238306,-423.6,1.75
2761,238419,-424.1,1.66
2762,238532,-424.7,1.55
2763,238647,-426.1,1.3
2764,238764,-427.1,1.12
2765,238883,-427.8,0.99
2766,239003,-429.5,0.6899999999999999
2767,239125,-430.2,0.5600000000000001
2768,239248,-430.7,0.46
2769,239375,-434.4,-0.18
2770,239506,-436.5,-0.54
2771,239642,-440.9,-1.29
2772,239784,-443.6,-1.76
2773,239931,-446.2,-2.22
2774,240080,-445.5,-2.12
2775,240231,-448.2,-2.59
2776,240387,-451.1,-3.09
2777,240548,-453,-3.43
2778,240711,-453.6,-3.55
2779,240877,-455.3,-3.85
2780,241048,-457.1,-4.17
2781,241224,-460.9,-4.82
2782,241406,-463.3,-5.23
2783,241596,-466.6,-5.8
2784,241792,-469,-6.21
2785,241991,-468.3,-6.1
2786,242187,-466.8,-5.86
2787,242382,-466.4,-5.8
2788,242576,-466,-5.74
2789,242770,-465.4,-5.65
2790,242959,-461.6,-5.02
2791,243144,-461,-4.93
2792,243330,-462.5,-5.18
2793,243519,-464.2,-5.46
2794,243714,-467,-5.93
2795,243916,-469.7,-6.38
2796,244124,-472.4,-6.82
2797,244337,-473.1,-6.94
2798,244551,-473.6,-7.02
2799,244767,-473.9,-7.07
2800,244983,-473.3,-6.97
2801,245196,-471.8,-6.72
2802,245407,-471,-6.58
2803,245618,-471.8,-6.71
2804,245834,-474.7,-7.19
2805,246053,-474,-7.07
2806,246269,-472.8,-6.86
2807,246485,-472.6,-6.83
2808,246700,-472.3,-6.78
2809,246917,-474.1,-7.07
2810,247135,-473.2,-6.92
2811,247351,-471.3,-6.6
2812,247566,-472.4,-6.78
2813,247785,-474.5,-7.13
2814,248007,-474.5,-7.13
2815,248229,-474.3,-7.1
2816,248453,-475.9,-7.36
2817,248680,-476.2,-7.41
2818,248907,-475.2,-7.24
2819,249128,-472.3,-6.76
2820,249345,-470.8,-6.51
2821,249560,-470.6,-6.48
2822,249772,-468.4,-6.11
2823,249984,-470.1,-6.39
2824,250199,-470.9,-6.52
2825,250413,-468.8,-6.17
2826,250618,-463.6,-5.31
2827,250818,-463.5,-5.29
2828,251021,-466.1,-5.72
2829,251231,-469.8,-6.34
2830,251448,-470.7,-6.48
2831,251666,-470.8,-6.5
2832,251883,-469.3,-6.25
2833,252102,-472.6,-6.79
2834,252329,-474.8,-7.16
2835,252553,-470.8,-6.49
2836,252769,-467.9,-6.01
2837,252986,-471.2,-6.55
2838,253213,-474.7,-7.13
2839,253442,-473.5,-6.93
2840,253670,-473.2,-6.88
2841,253896,-471.7,-6.63
2842,254121,-472.4,-6.75
2843,254345,-470.6,-6.45
2844,254560,-465.5,-5.6
2845,254767,-462.7,-5.14
2846,254972,-464.3,-5.41
2847,255183,-466.4,-5.77
2848,255399,-468.7,-6.16
2849,255620,-470.1,-6.39
2850,255844,-470.3,-6.43
2851,256068,-469.8,-6.36
2852,256294,-471.8,-6.69
2853,256525,-473.3,-6.95
2854,256759,-473.2,-6.93
2855,256994,-474.4,-7.13
2856,257234,-476.1,-7.42
2857,257479,-477.1,-7.58
2858,257726,-477.8,-7.7
2859,257975,-478.7,-7.85
2860,258224,-476.6,-7.5
2861,258471,-477.6,-7.67
2862,258723,-479.7,-8.01
2863,258978,-479.5,-7.98
2864,259235,-480.2,-8.09
2865,259492,-480,-8.050000000000001
2866,259750,-479.6,-7.99
2867,260009,-481.5,-8.300000000000001
2868,260272,-481.6,-8.31
2869,260536,-481.3,-8.26
2870,260801,-482.9,-8.52
2871,261069,-482.4,-8.43
2872,261336,-482.4,-8.43
2873,261602,-481,-8.19
2874,261865,-480.8,-8.16
2875,262131,-482.4,-8.42
2876,262399,-481.7,-8.300000000000001
2877,262665,-481.2,-8.210000000000001
2878,262933,-482.5,-8.42
2879,263201,-480.8,-8.130000000000001
2880,263466,-480.5,-8.08
2881,263732,-481.9,-8.300000000000001
2882,264004,-483.3,-8.529999999999999
2883,264273,-479.7,-7.93
2884,264533,-477.3,-7.52
2885,264792,-479.4,-7.86
2886,265055,-479.4,-7.85
2887,265321,-481.1,-8.130000000000001
2888,265595,-483.8,-8.57
2889,265865,-479.1,-7.78
2890,266123,-475.5,-7.18
2891,266380,-478.1,-7.61
2892,266643,-479,-7.75
2893,266905,-477.8,-7.54
2894,267167,-478.5,-7.66
2895,267431,-478.5,-7.65
2896,267692,-476.3,-7.28
2897,267946,-473.8,-6.86
2898,268194,-472.2,-6.59
2899,268435,-468.4,-5.96
2900,268677,-472.4,-6.61
2901,268926,-473.4,-6.77
2902,269178,-473.8,-6.84
2903,269429,-472.7,-6.65
2904,269678,-472.4,-6.59
2905,269926,-471.7,-6.47
2906,270169,-468.6,-5.95
2907,270409,-469,-6
2908,270648,-467.8,-5.8
2909,270883,-465.7,-5.44
2910,271114,-464.9,-5.3
2911,271347,-467.1,-5.65
2912,271584,-467.7,-5.74
2913,271822,-467.3,-5.65
2914,272053,-462.3,-4.8
2915,272276,-461.2,-4.6
2916,272500,-463.2,-4.9
2917,272724,-461.8,-4.65
2918,272946,-460.6,-4.43
2919,273166,-460.3,-4.35
2920,273385,-460.3,-4.33
2921,273605,-460.4,-4.33
2922,273827,-461.8,-4.55
2923,274048,-459.2,-4.1
2924,274263,-457.7,-3.84
2925,274477,-457.6,-3.8
2926,274692,-458.6,-3.95
2927,274909,-458.7,-3.95
2928,275127,-459.8,-4.13
2929,275344,-457.5,-3.73
2930,275559,-457.4,-3.71
2931,275772,-456.4,-3.53
2932,275983,-455.5,-3.38
2933,276195,-456.2,-3.48
2934,276409,-457.1,-3.62
2935,276622,-455.5,-3.35
2936,276830,-452.7,-2.88
2937,277036,-453.5,-3.01
2938,277246,-455.5,-3.33
2939,277460,-457.2,-3.61
2940,277680,-459.3,-3.95
2941,277903,-459.6,-4
2942,278130,-462.3,-4.44
2943,278361,-462.4,-4.46
2944,278593,-462.2,-4.44
2945,278825,-462.1,-4.43
2946,279057,-462.1,-4.44
2947,279292,-463.4,-4.67
2948,279533,-465.9,-5.1
2949,279781,-468.2,-5.49
2950,280038,-472.2,-6.17
2951,280303,-472.2,-6.18
2952,280564,-469.1,-5.69
2953,280817,-466.6,-5.3
2954,281071,-468.6,-5.66
2955,281332,-471.2,-6.11
2956,281602,-473.4,-6.5
2957,281875,-472.6,-6.39
2958,282143,-469.9,-5.96
2959,282405,-468.1,-5.67
2960,282661,-464.9,-5.15
2961,282910,-463,-4.85
2962,283160,-465.2,-5.22
2963,283417,-467.1,-5.55
2964,283677,-467,-5.54
2965,283941,-469.4,-5.95
2966,284218,-474.7,-6.83
2967,284508,-477.3,-7.27
2968,284804,-477.5,-7.3
2969,285102,-478.4,-7.45
2970,285398,-475.6,-6.99
2971,285686,-473,-6.57
2972,285968,-472,-6.4
2973,286248,-471.2,-6.27
2974,286525,-470.2,-6.1
2975,286802,-470.6,-6.15
2976,287079,-469.5,-5.96
2977,287351,-467.5,-5.62
2978,287617,-465.5,-5.28
2979,287879,-464.4,-5.09
2980,288145,-468,-5.68
2981,288418,-468.8,-5.8
2982,288698,-472.1,-6.34
2983,288986,-473.1,-6.5
2984,289271,-470.5,-6.06
2985,289549,-468.2,-5.67
2986,289823,-467.6,-5.56
2987,290100,-470.3,-6
2988,290382,-470.4,-6
2989,290660,-466.8,-5.39
2990,290929,-465.4,-5.15
2991,291193,-462.5,-4.65
2992,291455,-464.3,-4.93
2993,291721,-465.2,-5.07
2994,291986,-462.6,-4.62
2995,292242,-459.7,-4.13
2996,292490,-456.1,-3.52
2997,292732,-455.8,-3.46
2998,292976,-457.1,-3.67
2999,293232,-463.7,-4.76
3000,293502,-466.5,-5.22
3001,293779,-467.3,-5.34
3002,294060,-468.9,-5.6
3003,294348,-471.7,-6.06
3004,294637,-468.7,-5.56
3005,294919,-467.4,-5.34
3006,295198,-466.2,-5.13
3007,295474,-465.2,-4.96
3008,295749,-465.1,-4.94
3009,296020,-462.9,-4.57
3010,296289,-462.7,-4.53
3011,296562,-465.8,-5.04
3012,296840,-465.1,-4.92
3013,297116,-464.5,-4.81
3014,297393,-465.1,-4.9
3015,297669,-463.9,-4.7
3016,297943,-463.2,-4.57
3017,298215,-462.7,-4.48
3018,298485,-461,-4.2
3019,298749,-458.7,-3.81
3020,299012,-460.1,-4.04
3021,299275,-458,-3.69
3022,299533,-456.6,-3.45
3023,299788,-455,-3.19
3024,300039,-454.4,-3.08
3025,300293,-455.5,-3.26
3026,300547,-454.7,-3.13
3027,300799,-453.7,-2.97
3028,301052,-454.9,-3.17
3029,301305,-453.4,-2.92
3030,301560,-455.8,-3.32
3031,301813,-451,-2.52
3032,302061,-452.4,-2.76
3033,302320,-457.7,-3.64
3034,302583,-455,-3.19
3035,302834,-449.5,-2.28
3036,303077,-448,-2.04
3037,303316,-446.2,-1.74
3038,303558,-449.8,-2.34
3039,303810,-453,-2.88
3040,304068,-453.9,-3.03
3041,304333,-456.5,-3.46
3042,304606,-459,-3.88
3043,304886,-460.5,-4.13
3044,305171,-461.6,-4.32
3045,305463,-464.6,-4.82
3046,305764,-466.5,-5.14
3047,306073,-468.2,-5.42
3048,306386,-468.9,-5.54
3049,306698,-466.5,-5.14
3050,307005,-466.2,-5.09
3051,307309,-464,-4.72
3052,307608,-463.2,-4.58
3053,307908,-463.9,-4.69
3054,308206,-462.2,-4.41
3055,308500,-460.3,-4.09
3056,308789,-459.5,-3.95
3057,309077,-459,-3.86
3058,309365,-458.8,-3.83
3059,309651,-458,-3.69
3060,309934,-456.2,-3.39
3061,310215,-455.8,-3.32
3062,310493,-454.3,-3.06
3063,310766,-452.6,-2.78
3064,311035,-451.2,-2.54
3065,311302,-450.4,-2.39
3066,311568,-450.1,-2.33
3067,311832,-449.5,-2.22
3068,312099,-450.9,-2.45
3069,312367,-450.4,-2.35
3070,312634,-450.1,-2.29
3071,312899,-447.9,-1.92
3072,313159,-447.2,-1.79
3073,313418,-446.2,-1.61
3074,313674,-444.7,-1.34
3075,313928,-445,-1.38
3076,314183,-445,-1.36
3077,314438,-444.8,-1.32
3078,314692,-443.6,-1.1
3079,314943,-443,-0.99
3080,315194,-443,-0.97
3081,315443,-441.1,-0.64
3082,315689,-440.3,-0.48
3083,315934,-440.3,-0.46
3084,316179,-440.7,-0.51
3085,316424,-438.8,-0.18
3086,316666,-438.9,-0.18
3087,316910,-439.9,-0.33
3088,317155,-439.2,-0.2
3089,317401,-440.4,-0.39
3090,317649,-440.6,-0.42
3091,317897,-439,-0.14
3092,318141,-438.4,-0.03
3093,318385,-438.1,0.02
3094,318628,-437,0.2
3095,318872,-438.1,0.01
3096,319118,-437.9,0.02
3097,319364,-436.9,0.16
3098,319608,-436.3,0.24
3099,319853,-436.7,0.15
3100,320102,-438.2,-0.12
3101,320354,-438.4,-0.18
3102,320607,-437.7,-0.09
3103,320856,-434.7,0.38
3104,321095,-430,1.14
3105,321329,-429.1,1.26
3106,321559,-426.5,1.66
3107,321783,-423.2,2.18
3108,322000,-420.2,2.65
3109,322214,-418.8,2.85
3110,322426,-418.7,2.82
3111,322638,-416.2,3.19
3112,322847,-415.9,3.18
3113,323057,-416.2,3.08
3114,323269,-415.8,3.08
3115,323482,-414.9,3.14
3116,323695,-415.2,2.99
3117,323911,-415.5,2.84
3118,324129,-414.8,2.86
3119,324349,-415.6,2.65
3120,324574,-417.2,2.34
3121,324804,-419,2
3122,325039,-420.3,1.74
3123,325278,-421,1.59
3124,325527,-426.3,0.68
3125,325789,-430,0.05
3126,326061,-431.7,-0.25
3127,326342,-435.9,-0.96
3128,326639,-440.5,-1.73
3129,326952,-444.4,-2.39
3130,327273,-444.5,-2.41
3131,327597,-445.4,-2.55
3132,327924,-445.9,-2.64
3133,328258,-448.3,-3.03
3134,328602,-450.6,-3.41
3135,328955,-452.3,-3.68
3136,329318,-455.6,-4.21
3137,329694,-457.8,-4.56
3138,330081,-459.9,-4.9
3139,330476,-461.4,-5.11
3140,330883,-465,-5.67
3141,331300,-465.8,-5.76
3142,331725,-467.8,-6.06
3143,332164,-471.5,-6.63
3144,332624,-475.8,-7.3
3145,333106,-479.4,-7.86
3146,333602,-480.7,-8.039999999999999
3147,334101,-480.3,-7.94
3148,334600,-480.4,-7.93
3149,335100,-480.1,-7.87
3150,335595,-478.4,-7.58
3151,336081,-476.6,-7.28
3152,336567,-477.5,-7.43
3153,337055,-476.7,-7.3
3154,337544,-477.4,-7.42
3155,338033,-475.8,-7.16
3156,338521,-476.6,-7.3
3157,339015,-477.2,-7.4
3158,339505,-474.6,-6.98
3159,339993,-475.5,-7.13
3160,340490,-477.3,-7.44
3161,340984,-473.9,-6.88
3162,341462,-470.4,-6.31
3163,341930,-470,-6.26
3164,342401,-470.3,-6.32
3165,342879,-471.8,-6.59
3166,343364,-472,-6.64
3167,343853,-472.6,-6.76
3168,344348,-473,-6.84
3169,344839,-470.5,-6.43
3170,345327,-471.3,-6.58
3171,345821,-471.7,-6.65
3172,346319,-472.3,-6.76
3173,346823,-472.8,-6.84
3174,347330,-472.7,-6.83
3175,347841,-473.3,-6.92
3176,348357,-474.1,-7.05
3177,348877,-473.9,-7.02
3178,349404,-475.8,-7.32
3179,349945,-477.6,-7.61
3180,350493,-477.8,-7.64
3181,351044,-477.9,-7.64
3182,351596,-477.5,-7.57
3183,352150,-478,-7.64
3184,352710,-478.9,-7.77
3185,353273,-478.6,-7.71
3186,353838,-478.7,-7.71
3187,354400,-477.3,-7.46
3188,354958,-477.1,-7.41
3189,355512,-475.5,-7.13
3190,356060,-474.5,-6.94
3191,356612,-476.4,-7.24
3192,357167,-475.1,-7.01
3193,357712,-472.6,-6.58
3194,358247,-471.6,-6.39
3195,358786,-473.2,-6.64
3196,359327,-471.9,-6.41
3197,359855,-468.3,-5.8
3198,360376,-468.9,-5.89
3199,360904,-469.9,-6.05
3200,361440,-471.1,-6.24
3201,361973,-468.4,-5.79
3202,362503,-469.1,-5.9
3203,363042,-470.9,-6.2
3204,363580,-468,-5.72
3205,364114,-468.7,-5.84
3206,364659,-470.9,-6.21
3207,365208,-468.9,-5.88
3208,365743,-466,-5.4
3209,366267,-464.3,-5.13
3210,366784,-462.5,-4.84
3211,367297,-462.6,-4.86
3212,367816,-463.3,-4.97
3213,368329,-460.2,-4.46
3214,368829,-457.6,-4.03
3215,369331,-460.7,-4.54
3216,369858,-464.9,-5.23
3217,370403,-466.1,-5.42
3218,370960,-468.1,-5.74
3219,371545,-473.8,-6.67
3220,372149,-473.3,-6.58
3221,372746,-470.8,-6.15
3222,373331,-469.4,-5.9
3223,373909,-468,-5.66
3224,374478,-466.1,-5.33
3225,375042,-465.8,-5.26
3226,375604,-464.8,-5.08
3227,376155,-461.7,-4.55
3228,376690,-458.9,-4.07
3229,377204,-454.2,-3.27
3230,377702,-452.6,-2.99
3231,378210,-457.1,-3.72
3232,378743,-460.6,-4.29
3233,379297,-462.7,-4.63
3234,379864,-464.3,-4.88
3235,380435,-463.1,-4.68
3236,380997,-461,-4.32
3237,381551,-459.4,-4.05
3238,382095,-457.4,-3.72
3239,382622,-452.6,-2.92
3240,383134,-451.4,-2.72
3241,383641,-450.1,-2.5
3242,384159,-454.5,-3.24
3243,384710,-459.6,-4.1
3244,385288,-462.2,-4.54
3245,385894,-467.1,-5.36
3246,386528,-468.8,-5.65
3247,387167,-467.6,-5.46
3248,387804,-467.2,-5.4
3249,388435,-464.8,-5.02
3250,389061,-465.1,-5.07
3251,389700,-467.3,-5.44
3252,390349,-466.7,-5.34
3253,390999,-466.8,-5.36
3254,391658,-468.3,-5.6
3255,392317,-465.7,-5.17
3256,392972,-466.6,-5.31
3257,393636,-467.2,-5.4
3258,394297,-465,-5.02
3259,394935,-460.3,-4.23
3260,395543,-455.6,-3.43
3261,396126,-451.9,-2.8
3262,396694,-450.5,-2.54
3263,397253,-448.6,-2.2
3264,397808,-448.3,-2.13
3265,398361,-447.2,-1.92
3266,398909,-445.9,-1.68
3267,399455,-445.9,-1.65
3268,400003,-446,-1.64
3269,400553,-445.8,-1.58
3270,401097,-443.5,-1.17
3271,401636,-443.2,-1.09
3272,402179,-444.4,-1.26
3273,402728,-444.4,-1.23
3274,403276,-443.3,-1.01
3275,403815,-440.9,-0.58
3276,404346,-439.8,-0.37
3277,404874,-439.5,-0.28
3278,405401,-438.6,-0.1
3279,405923,-437.1,0.18
3280,406441,-436.5,0.31
3281,406957,-435.6,0.49
3282,407469,-434.4,0.71
3283,407977,-433.7,0.85
3284,408485,-433.3,0.9399999999999999
3285,408992,-432.3,1.12
3286,409496,-431.4,1.28
3287,409995,-429.3,1.64
3288,410483,-426.4,2.13
3289,410979,-431.6,1.27
3290,411492,-431.2,1.34
3291,412009,-431.9,1.23
3292,412533,-432.4,1.15
3293,413062,-432.8,1.08
3294,413601,-434.5,0.8
3295,414147,-434.2,0.85
3296,414692,-432.8,1.07
3297,415235,-432.2,1.16
3298,415781,-432.3,1.13
3299,416327,-431.1,1.32
3300,416872,-430.8,1.36
3301,417419,-430.3,1.43
3302,417969,-430.4,1.4
3303,418526,-431.1,1.27
3304,419095,-433,0.9399999999999999
3305,419682,-435.5,0.51
3306,420281,-435.2,0.54
3307,420888,-436.4,0.32
3308,421507,-437.3,0.15
3309,422135,-437.6,0.08
3310,422766,-436.6,0.23
lssa-0.1.4/data/dust.csv 0000644 0000000 0000000 00000023303 13743165726 013270 0 ustar 00 0000000 0000000 124,4509,0.025
125,4552,0.018
128,4690,0.015
140,5259,0.033
149,5674,0.028
166,6486,0.013
174,6874,0.02
175,6924,0.018
182,7267,0.038
191,7697,0.023
192,7745,0.065
199,8091,0.038
220,9107,0.04
224,9298,0.05
244,10265,0.018
249,10515,0.03
256,10861,0.033
260,11053,0.045
274,11749,0.05
278,11973,0.025
288,12569,0.075
296,13055,0.075
299,13237,0.04
309,13828,0.033
319,14404,0.08500000000000001
324,14713,0.163
325,14775,0.18
329,15032,0.17
349,16426,0.638
350,16502,0.773
352,16653,0.32
363,17544,1.098
374,18446,0.22
379,18870,1.21
399,20528,0.973
402,20777,0.71
403,20859,1.735
417,22023,0.733
424,22629,1.213
433,23412,1.745
447,24619,1.573
449,24781,0.668
451,24941,0.45
460,25697,0.968
474,26849,1.48
475,26933,1.353
492,28420,0.51
499,29006,0.415
500,29085,0.365
502,29249,0.783
524,31130,0.708
549,33209,0.495
574,35185,0.09
575,35261,0.113
598,37066,0.49
599,37148,0.603
601,37313,0.293
624,39185,0.203
625,39263,0.22
649,41191,0.188
650,41268,0.21
674,43073,0.238
675,43150,0.185
698,45055,0.19
699,45139,0.468
700,45225,0.375
724,47295,0.28
749,49350,0.128
750,49430,0.208
774,51306,0.073
775,51384,0.15
777,51549,0.295
799,53355,0.19
800,53436,0.165
802,53606,0.155
823,55377,0.278
824,55457,0.205
848,57289,0.21
849,57362,0.145
873,59262,0.833
874,59345,0.468
898,61406,0.475
899,61496,0.378
923,63688,0.98
924,63776,0.708
948,66045,1.1
949,66144,0.748
955,66708,0.425
973,68424,1.285
974,68520,0.86
984,69413,0.328
993,70243,0.305
998,70683,0.16
999,70766,0.063
1005,71264,0.08500000000000001
1015,72070,0.098
1023,72753,0.155
1024,72840,0.053
1034,73706,0.19
1041,74322,0.205
1048,74903,0.063
1049,74985,0.103
1073,76854,0.073
1074,76933,0.075
1098,78937,0.178
1099,79020,0.233
1123,80869,0.28
1124,80943,0.193
1144,82352,0.078
1148,82647,0.188
1149,82721,0.223
1173,84378,0.068
1174,84448,0.058
1198,86016,0.065
1199,86083,0.078
1223,87766,0.09
1224,87837,0.09
1248,89597,0.19
1249,89672,0.208
1273,91480,0.113
1274,91547,0.12
1298,93254,0.27
1299,93325,0.238
1323,95000,0.07000000000000001
1324,95070,0.103
1348,96722,0.048
1349,96791,0.043
1350,96861,0.053
1373,98505,0.075
1374,98572,0.068
1375,98640,0.005
1398,100232,0.17
1399,100301,0.14
1423,101868,0.133
1424,101930,0.11
1448,103481,0.248
1449,103553,0.18
1450,103625,0.315
1451,103697,0.258
1473,105271,0.058
1474,105342,0.058
1475,105413,0.058
1498,107048,0.128
1499,107121,0.098
1500,107194,0.08500000000000001
1523,109121,0.093
1524,109206,0.05
1525,109292,0.065
1548,111159,0.07000000000000001
1549,111239,0.043
1550,111319,0.01
1573,113195,0.05
1574,113272,0.078
1575,113348,0.043
1582,113891,0.068
1591,114562,0.058
1598,115077,0.035
1599,115150,0.08
1606,115617,0.028
1616,116296,0.048
1623,116762,0.033
1624,116827,0.028
1625,116891,0.073
1632,117326,0.068
1635,117514,0.015
1643,118012,0.035
1648,118314,0.038
1649,118376,0.058
1655,118735,0.11
1665,119345,0.045
1673,119831,0.04
1674,119894,0.038
1675,119955,0.073
1682,120379,0.053
1692,120959,0.08500000000000001
1698,121314,0.02
1699,121373,0.013
1709,121951,0.018
1716,122345,0.213
1723,122742,0.055
1724,122801,0.053
1732,123268,0.06
1739,123658,0.04
1749,124209,0.12
1756,124599,0.048
1761,124877,0.043
1768,125271,0.028
1783,126103,0.078
1798,126904,0.048
1799,126955,0.06
1800,127006,0.26
1816,127810,0.043
1823,128161,0.028
1824,128210,0.038
1825,128259,0.045
1830,128501,0.018
1848,129428,0.135
1849,129486,0.115
1850,129545,0.02
1866,130410,0.035
1872,130759,0.015
1873,130819,0.113
1874,130880,0.038
1875,130942,0.14
1879,131190,0.045
1883,131439,0.033
1886,131641,0.023
1890,131908,0.02
1895,132264,0.03
1898,132477,0.048
1899,132548,0.045
1900,132619,0.078
1901,132691,0.055
1902,132763,0.038
1903,132836,0.055
1906,133065,0.025
1907,133142,0.06
1912,133528,0.06
1919,134091,0.105
1921,134266,0.095
1923,134447,0.5
1924,134538,0.12
1932,135308,0.298
1933,135408,0.095
1934,135507,0.105
1940,136103,0.16
1943,136411,0.123
1945,136614,0.245
1948,136923,0.883
1949,137026,0.86
1953,137446,0.158
1954,137549,0.183
1963,138532,0.288
1964,138644,0.235
1966,138868,0.553
1970,139308,0.338
1973,139643,0.848
1974,139756,0.498
1979,140319,0.405
1981,140542,0.553
1984,140876,0.6879999999999999
1989,141434,0.245
1990,141547,0.438
1991,141661,0.303
1996,142218,0.5649999999999999
1998,142440,1.01
1999,142551,0.753
2004,143117,0.625
2009,143675,0.74
2014,144237,0.46
2023,145226,0.973
2024,145337,0.673
2025,145449,0.738
2032,146242,0.528
2043,147459,0.423
2049,148141,0.77
2052,148471,0.158
2063,149679,0.265
2069,150333,0.55
2074,150868,0.418
2080,151502,0.325
2081,151611,0.318
2089,152513,0.313
2098,153523,0.871
2103,154094,0.305
2111,155029,1.177
2119,155983,1.228
2128,157080,0.671
2135,157909,0.715
2143,158815,0.426
2151,159651,0.13
2160,160626,0.237
2168,161545,0.728
2176,162440,0.238
2184,163318,0.22
2191,164136,0.36
2199,165148,0.618
2202,165522,0.092
2208,166284,0.271
2217,167414,0.115
2225,168391,0.154
2232,169201,0.073
2241,170221,0.151
2248,171040,0.284
2256,172004,0.307
2264,173027,0.025
2272,173988,0.105
2280,174920,0.142
2287,175746,0.232
2294,176630,0.391
2308,178417,0.341
2325,180546,0.202
2325,180546,0.067
2333,181502,0.138
2342,182694,0.236
2348,183525,0.5610000000000001
2356,184641,0.715
2364,185788,0.761
2373,187067,0.274
2387,189030,0.147
2398,190469,0.05
2400,190705,0.055
2404,191156,0.016
2410,191895,0.114
2414,192382,0.067
2420,193152,0.142
2425,193816,0.141
2430,194444,0.052
2434,194926,0.104
2440,195676,0.113
2444,196202,0.221
2451,197086,0.067
2454,197462,0.111
2459,198075,0.114
2462,198426,0.074
2471,199452,0.047
2473,199682,0.052
2475,199904,0.063
2477,200124,0.048
2479,200345,0.021
2491,201635,0.03
2502,202826,0.029
2505,203155,0.024
2505.41,203200,0.024
2508.41,203527,0.023
2509,203592,0.021
2512.41,203980,0.02
2515,204278,0.029
2515.41,204325,0.028
2521,204973,0.022
2524.41,205386,0.032
2525,205458,0.024
2527.41,205760,0.032
2531,206232,0.025
2531.41,206287,0.028
2534.41,206681,0.031
2537.41,207072,0.042
2540.41,207463,0.041
2543.41,207857,0.023
2545,208061,0.029
2546.41,208244,0.023
2549.41,208623,0.031
2555.41,209364,0.028
2559.41,209864,0.021
2564.41,210466,0.023
2568.41,210941,0.032
2569.41,211057,0.015
2574.41,211651,0.022
2576.41,211892,0.04
2579.41,212237,0.029
2583.41,212700,0.03
2585.41,212928,0.022
2597.41,214297,0.031
2600.41,214639,0.018
2603.41,214978,0.06
2607.41,215432,0.022
2612.41,216003,0.036
2612.41,216003,0.054
2615.41,216369,0.029
2619.41,216839,0.032
2629.41,217989,0.022
2634.41,218602,0.035
2637.41,219000,0.082
2640.41,219393,0.041
2642.41,219660,0.053
2646.41,220226,0.093
2651.41,220967,0.077
2653.41,221272,0.06900000000000001
2660.41,222426,0.119
2664.41,223135,0.138
2667.41,223681,0.194
2670.41,224240,0.158
2674.41,224959,0.029
2677.41,225469,0.08500000000000001
2680.41,225971,0.06900000000000001
2684.41,226653,0.036
2691.41,227958,0.076
2694.41,228488,0.07000000000000001
2697.41,229052,0.045
2701.41,229802,0.073
2703.41,230161,0.031
2706.41,230691,0.076
2715.41,232206,0.036
2715.41,232206,0.043
2718.41,232682,0.039
2719.41,232838,0.007
2721.41,233146,0.033
2721.41,233146,0.055
2723.41,233453,0.056
2733.41,234896,0.096
2736.41,235329,0.038
2748.41,236970,0.058
2751.41,237338,0.033
2754.41,237690,0.083
2756.41,237912,0.079
2762.41,238578,0.012
2765.41,238932,0.015
2768.41,239298,0.014
2771.41,239698,0.011
2774.41,240141,0.029
2777.41,240614,0.014
2780.41,241118,0.06
2780.41,241118,0.067
2783.41,241674,0.029
2786.41,242267,0.083
2789.41,242850,0.039
2792.41,243406,0.023
2795.41,243999,0.06
2797.41,244424,0.131
2797.41,244424,0.052
2798.41,244639,0.156
2801.41,245283,0.104
2807.41,246574,0.378
2816.41,248545,0.191
2819.41,249219,0.116
2825.41,250501,0.078
2828.41,251104,0.169
2834.41,252422,0.208
2837.41,253075,0.12
2840.41,253763,0.115
2846.41,255056,0.219
2849.41,255711,0.053
2852.41,256387,0.223
2858.41,257827,0.439
2864.41,259340,1.012
2868.41,260380,0.64
2871.41,261179,0.9419999999999999
2874.41,261973,0.167
2878.41,263043,0.554
2883.41,264383,0.791
2888.41,265707,0.5580000000000001
2897.41,268050,0.093
2903.41,269532,0.168
2907.41,270507,0.077
2913.41,271920,0.017
2918.41,273037,0.08500000000000001
2922.41,273918,0.123
2928.41,275216,0.08599999999999999
2937.41,277120,0.045
2943.41,278456,0.08
2948.41,279632,0.146
2954.41,281175,0.184
2958.41,282253,0.14
2968.41,284925,0.204
2974.41,286639,0.041
2978.41,287726,0.059
2981.41,288530,0.059
2987.41,290214,0.066
2993.41,291830,0.054
2998.41,293076,0.042
3001.41,293893,0.063
3005.41,295035,0.045
3008.41,295862,0.09
3017.41,298327,0.257
3021.41,299383,0.097
3025.41,300397,0.078
3028.41,301156,0.053
3031.41,301917,0.032
3034.41,302691,0.013
3035.41,302937,0.029
3038.41,303657,0.022
3044.41,305288,0.021
3047.41,306200,0.111
3050.41,307131,0.102
3053.41,308031,0.026
3056.41,308907,0.02
3058.41,309483,0.008999999999999999
3061.41,310330,0.036
3065.41,311411,0.022
3068.41,312208,0.019
3077.41,314543,0.021
3080.41,315297,0.045
3085.41,316524,0.02
3086.41,316765,0.027
3088.41,317255,0.044
3091.41,317999,0.037
3098.41,319708,0.019
3107.41,321875,0.032
3110.41,322513,0.014
3118.41,324218,0.008
3124.41,325629,0.012
3128.41,326761,0.01
3131.41,327730,0.046
3137.41,329848,0.117
3140.41,331050,0.142
3147.41,334306,0.586
3148.41,334805,1.035
3152.41,336766,0.395
3155.41,338233,0.366
3158.41,339706,0.439
3161.41,341187,0.164
3164.41,342594,0.034
3172.41,346523,0.277
3178.41,349620,0.401
3188.41,355187,0.38
3194.41,358466,0.24
3197.41,360071,0.155
3205.41,364333,0.076
3208.41,365962,0.268
3211.41,367507,0.058
3214.41,369034,0.091
3218.41,371188,0.224
3221.41,372991,0.208
3224.41,374711,0.07099999999999999
3227.41,376381,0.08500000000000001
3233.41,379524,0.019
3236.41,381227,0.125
3238.41,382318,0.033
3248.41,388065,0.122
3254.41,391928,0.114
3257.41,393908,0.157
3260.41,395792,0.023
3263.41,397482,0.023
3266.41,399134,0.019
3268.41,400228,0.021
3274.41,403501,0.033
3278.41,405617,0.016
3287.41,410200,0.018
3288.41,410683,0.012
3300.41,417095,0.013
3306.41,420527,0.015
3308.41,421761,0.012
lssa-0.1.4/data/o18.csv 0000644 0000000 0000000 00000017372 13743165726 012731 0 ustar 00 0000000 0000000 114.8,4095,724,-0.06
116.3,4168,813,0.03
120.3,4352,987,-0.06
125.2,4561,1184,-0.02
130.1,4791,1418,0.08
135.3,5039,1675,0.04
139.7,5245,1932,-0.05
139.8,5250,1935,0.14
143.7,5429,2108,-0.09
149.6,5702,2370,-0.05
152.8,5854,2541,-0.09
156.9,6048,2745,-0.08
161.8,6279,3041,-0.11
165.1,6441,3214,-0.13
166.8,6526,3306,-0.05
169.7,6665,3453,-0.15
174.2,6884,3679,0.06
174.6,6905,3695,-0.14
177.1,7028,3814,0.04
184.3,7379,4262,0.15
184.9,7408,4299,-0.19
205.6,8403,5207,-0.18
213.1,8768,5529,-0.13
213.8,8801,5559,-0.2
224,9298,6009,-0.24
230,9589,6278,-0.05
230.4,9608,6293,-0.11
250,10564,7313,0.1
252.9,10711,7475,-0.21
270.8,11579,8285,0.04
271.3,11606,8318,0.06
280.2,12099,8808,0.04
280.9,12139,8856,-0.11
281.3,12161,8879,-0.38
290.4,12719,9443,0.24
291.3,12773,9503,0.33
294.5,12964,9655,0.25
298.5,13208,9898,0.29
299.5,13267,9952,0.24
311.1,13944,10544,0.58
311.6,13971,10570,0.32
322.6,14627,11066,0.88
322.8,14639,11073,0.93
330.5,15133,11288,0.9
336.7,15549,11499,0.72
345.8,16185,11909,0.87
355.9,16962,12609,1.11
363.9,17618,13299,1.02
372,18283,13850,1.21
372.1,18291,13853,0.97
383,19199,14302,1.06
396.1,20286,14927,1.23
400.2,20628,15123,0.91
410.2,21459,15615,0.92
422.3,22483,16185,1.16
422.4,22491,16189,1.33
431.4,23270,16719,0.97
446.5,24579,17937,0.98
456.5,25402,18797,0.89
467.6,26310,19661,0.74
476.7,27079,20435,0.98
486.7,27969,21288,0.82
495.8,28752,21999,0.67
496.8,28832,22076,0.76
502.4,29282,22590,0.9
511.9,30114,23561,0.49
515.5,30411,23928,1.02
528,31473,25057,0.44
537.1,32227,25812,0.44
547.1,33047,26477,0.41
562,34281,27904,0.37
571.9,35024,28784,0.33
576.4,35366,29056,0.47
576.5,35374,29062,0.52
597.8,37049,30942,0.35
615.8,38518,32740,0.64
627.8,39483,34133,0.58
631.5,39774,34495,0.58
636.8,40205,34893,0.57
637.8,40291,34947,0.29
645.7,40930,35449,0.49
659.7,41977,36237,0.46
671.7,42892,37241,0.49
677.7,43359,37752,0.57
686.6,44086,38599,0.52
696.6,44939,39582,0.43
709.6,46070,41011,0.57
721.5,47092,41928,0.65
734.5,48176,42711,0.46
747.5,49233,43509,0.5
759.4,50169,44336,0.43
771.4,51117,45279,0.43
784.4,52146,46655,0.29
796.3,53133,47826,0.18
809.3,54224,49156,0.31
821.3,55243,50188,0.5600000000000001
834.2,56254,51152,0.37
846.2,57154,51881,0.33
859.2,58148,52763,0.22
871.1,59101,53867,0.3
884.1,60185,55442,0.26
892.2,60887,56257,0.6
897.1,61326,56713,0.31
909,62401,57529,0.77
921,63512,58373,0.71
934,64698,59346,0.8
945.9,65847,60229,0.72
959.9,67169,61370,0.77
970.9,68222,62301,0.67
983.8,69393,63515,0.83
1020.5,72532,66581,0.77
1032.6,73589,67850,0.78
1045.6,74703,69299,0.71
1056.7,75602,70607,0.65
1069.8,76605,71543,0.5600000000000001
1082.8,77674,72407,0.58
1095.9,78766,73689,0.42
1108,79714,74974,0.35
1121,80719,75937,0.31
1133.1,81599,76634,0.37
1146.2,82515,77505,0.14
1158.3,83352,78596,0.07000000000000001
1171.3,84259,79753,0.02
1183.4,85062,80841,-0.05
1196.5,85915,81826,-0.03
1209.5,86812,82827,-0.25
1221.6,87666,83681,-0.21
1233.7,88548,84668,0.21
1234.7,88623,84733,0.13
1245.6,89419,85433,0.37
1246.8,89512,85498,0.05
1258.8,90423,86174,0.31
1284,92259,87755,0.26
1297,93180,88597,0.37
1309.1,94033,89355,0.23
1322.2,94946,90430,0.33
1334.2,95775,91475,0.43
1347.3,96673,92352,0.47
1358.4,97469,93181,0.5600000000000001
1384.5,99310,95132,0.48
1408.7,100949,96632,0.41
1432.8,102476,98365,0.02
1444.9,103266,99254,-0.11
1459,104266,100462,-0.07000000000000001
1473,105271,101636,-0.11
1485.1,106121,102314,-0.01
1496.2,106917,102869,-0.14
1507.2,107784,103548,-0.14
1512.3,108224,104017,0.06
1520.3,108897,104686,0.14
1529.3,109650,105444,0.33
1539.4,110459,106102,0.46
1551.5,111439,106686,0.44
1566.2,112644,107470,0.59
1592,114639,109824,0.73
1636.3,117593,113370,0.73
1656.1,118802,115226,0.39
1683.3,120457,117267,0.28
1693.1,121024,117891,-0.07000000000000001
1716.7,122384,119319,-0.21
1732.7,123308,120424,-0.19
1757,124654,121904,-0.25
1784.3,126177,123521,-0.34
1823.5,128186,125622,-0.22
1831.9,128592,126162,-0.21
1845.2,129284,127030,0.17
1858,129971,127752,0.27
1868.5,130554,128325,0.65
1882.3,131393,128995,1
1883.4,131465,129069,0.9
1907.6,133188,130379,1.13
1934.5,135557,131959,1.23
1954.6,137611,133340,1.21
1955.8,137733,133418,1.12
1965.5,138812,133941,1.16
1982.3,140689,135202,1.03
1990.8,141637,135994,0.86
2016.4,144496,138408,0.91
2058.8,149220,143362,0.59
2092.1,152863,147205,0.6
2104,154207,148765,0.74
2112.1,155163,149816,0.82
2132.2,157583,151981,0.98
2142,158702,153069,0.89
2161.1,160751,154894,0.88
2170,161776,156102,0.8
2191,164136,159270,0.87
2201.1,165412,160281,0.79
2222.4,168089,162810,0.66
2236.1,169649,163928,0.38
2254.1,171772,166309,0.09
2281.1,175045,169989,0.11
2293,176501,171357,-0.13
2301,177517,172412,-0.1
2312.2,178992,174181,0.04
2332,181382,176144,-0.01
2341.1,182570,177430,0.24
2353.1,184243,179606,0.47
2372.1,186941,181627,0.88
2391.1,189582,184076,0.87
2404.5,191213,185778,0.72
2415.4,192560,187408,0.53
2425.6,193893,189454,0.47
2435.6,195126,190962,0.38
2444.1,196215,191858,0.12
2455.2,197612,193211,-0.11
2465.2,198790,194611,-0.03
2472.2,199590,195320,-0.11
2492.2,201763,198189,-0.14
2502.4,202870,199497,-0.06
2509,203592,200370,-0.15
2512.4,203979,200759,0.04
2514.8,204256,201104,-0.02
2520.4,204903,201707,0.2
2520.8,204948,201751,0.03
2530.7,206189,202917,0.39
2531.7,206327,203049,0.15
2536.8,206995,203585,0.39
2546.4,208243,204656,0.66
2549.7,208659,204934,0.52
2554.8,209293,205426,0.51
2572.7,211450,207759,0.47
2586.7,213077,209691,0.35
2595.7,214103,210894,0.26
2607.7,215464,212419,0.06
2616.7,216523,213539,-0.06
2625.7,217550,214611,-0.12
2634.7,218639,215622,-0.14
2644.7,219976,217045,0
2649.7,220719,217606,0.13
2658.7,222130,218640,0.05
2667.2,223642,219735,0.08
2677.2,225433,221031,0.14
2686.2,226975,222104,0.44
2692.2,228100,223181,0.51
2699.2,229392,224894,0.77
2706.2,230654,225994,0.84
2712.2,231682,226779,0.68
2718.2,232649,227928,0.65
2734.2,235013,231061,0.37
2736.2,235299,231478,0.27
2739.2,235722,232087,0.24
2743.2,236277,232849,0.09
2745.2,236545,233199,-0.01
2763.9,238752,235990,0.03
2772.9,239913,237741,0.48
2778.9,240859,238490,0.76
2787.9,242559,239486,0.75
2796.9,244313,240495,0.62
2802.9,245599,241301,0.63
2811.9,247548,243128,0.84
2820.9,249542,244726,0.75
2828.9,251206,246382,0.63
2835.9,252757,247944,0.51
2844.9,254756,250337,0.45
2853.9,256735,252048,0.37
2859.9,258202,253691,0.47
2869.9,260776,255933,0.59
2877.9,262907,257646,0.6899999999999999
2885.9,265028,259567,0.66
2891.9,266614,261142,0.66
2900.9,268897,263563,0.73
2909.9,271097,266106,0.5600000000000001
2918.9,273148,268568,0.4
2924.9,274459,270247,0.2
2933.9,276388,272620,0
2942.9,278337,274784,-0.15
2948.9,279752,276308,-0.09
2957.9,282123,278250,0
2965.9,284181,279851,-0.03
2971.9,285948,281656,0.09
2980.9,288387,283752,0.53
2989.9,290913,286629,0.6
2995.9,292475,288134,0.59
3004.9,294900,291089,0.45
3013.9,297367,293273,0.25
3019.9,298989,295052,-0.02
3028.9,301282,297568,0.02
3037.9,303533,300215,0.19
3043.9,305141,301918,0.26
3052.9,307880,304243,0.57
3061.9,310471,306589,0.59
3067.9,312072,308551,0.5600000000000001
3076.9,314415,311344,0.38
3085.9,316647,313862,0.18
3091.9,318123,315533,-0.03
3100.9,320329,317837,-0.21
3109.9,322409,319956,-0.16
3115.9,323676,321706,0.03
3124.9,325754,323802,0.77
3130.9,327565,325218,1.02
3142.9,332112,328540,1.12
3147.9,334555,330355,1.19
3154.9,337989,332841,1.21
3160.9,340942,336045,1.05
3163.9,342356,337494,0.92
3172.9,346772,342238,0.7
3178.9,349884,345278,0.67
3184.9,353220,348373,0.68
3190.9,356559,351525,0.67
3196.9,359819,355044,0.63
3199.9,361384,356764,0.41
3208.9,366230,361967,0.07000000000000001
3211.9,367764,363534,0.11
3220.9,372699,368878,0.23
3226.9,376115,371710,0.33
3232.9,379228,375539,0.15
3238.9,382590,378831,0.39
3244.9,385814,382627,0.35
3250.9,389631,385590,0.65
3259.9,395516,391478,0.52
3268.9,400502,397554,0.55
3274.9,403775,401044,0.38
3277.9,405354,402666,0.24
3284.9,408947,406607,0.02
3290.9,411959,409860,-0.08
3296.9,415188,412938,0.02
3299.9,416824,414603,-0.06
lssa-0.1.4/inst/ 0000755 0000000 0000000 00000000000 13743165726 011637 5 ustar 00 0000000 0000000 lssa-0.1.4/inst/cubicwgt.m 0000644 0000000 0000000 00000003717 13743165726 013634 0 ustar 00 0000000 0000000 ## Copyright (C) 2012 Benjamin Lewis
##
## This program is free software; you can redistribute it and/or modify it under
## the terms of the GNU General Public License as published by the Free Software
## Foundation; either version 3 of the License, or (at your option) any later
## version.
##
## This program is distributed in the hope that it will be useful, but WITHOUT
## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
## FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more
## details.
##
## You should have received a copy of the GNU General Public License along with
## this program; if not, see .
## -*- texinfo -*-
## @deftypefn {Function File} {@var{a} =} cubicwgt (@var{series})
##
## Returns the input series, windowed by a polynomial similar to a Hanning
## window. To window an arbitrary section of the series, subtract or add an
## offset to it to adjust the centre of the window; for an offset of k, the call
## would be cubicwgt (@var{s} - k). Similarly, the radius of the window is 1;
## if an arbitrary radius r is desired, dividing the series by the radius after
## centering is the best way to adjust to fit the window: cubicwgt ((@var{s} -
## k) / r).
##
## The windowing function itself is:
## w = 1 + ( x ^ 2 * ( 2 x - 3 ) ), x in [-1,1], else w = 0.
##
## @end deftypefn
function a = cubicwgt (s)
if (nargin != 1)
print_usage ();
endif
## s is the value/vector/matrix to be windowed
a = abs (s);
a = ifelse ((a < 1), 1 + ((a .^ 2) .* (2 .* a - 3)), 0);
endfunction
%!shared h, m, k
%! h = 2;
%! m = 0.01;
%! k = [0, 3, 1.5, -1, -0.5, -0.25, 0.75];
%!assert (cubicwgt (h), 0 );
%!assert (cubicwgt (m), 1 + m ^ 2 * (2 * m - 3));
%!assert (cubicwgt (k), [1.00000, 0.00000, 0.00000, 0.00000, ...
%! 0.50000, 0.84375, 0.15625], 1e-6);
%! ## Tests cubicwgt on two scalars and two vectors; cubicwgt will work
%! ## on any array input.
lssa-0.1.4/inst/lombcoeff.m 0000644 0000000 0000000 00000004074 13743165726 013756 0 ustar 00 0000000 0000000 ## Copyright (C) 2012 Benjamin Lewis
##
## This program is free software; you can redistribute it and/or modify it under
## the terms of the GNU General Public License as published by the Free Software
## Foundation; either version 3 of the License, or (at your option) any later
## version.
##
## This program is distributed in the hope that it will be useful, but WITHOUT
## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
## FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more
## details.
##
## You should have received a copy of the GNU General Public License along with
## this program; if not, see .
## -*- texinfo -*-
## @deftypefn {Function File} {@var{c} =} lombcoeff (@var{time}, @var{mag}, @var{freq})
##
## Return the Lomb Periodogram value at one frequency for a time series.
##
## @seealso{lombnormcoeff}
## @end deftypefn
function coeff = lombcoeff (T, X, o)
if (nargin != 3)
print_usage ();
elseif (! all (size (T) == size (X)))
error ("lombcoeff: Time series vectors of uneven size");
elseif (! isscalar (o))
error ("lombcoeff: Supplied frequency is not a scalar");
elseif (o == 0)
error ("lombcoeff: Supplied frequency is not a frequency");
endif
oT = o .* T;
theta = atan2 (sum (sin (2 * oT)),
sum (cos (2 * oT))) ./ (2 * o);
coeff = (sum (X .* cos (oT - theta)) ^2 /
sum (cos (oT - theta) .^2) +
sum (X .* sin (oT - theta)) ^2 /
sum (sin (oT - theta) .^2));
endfunction
%!shared t, x, o, maxfreq
%! maxfreq = 4 / (2 * pi);
%! t = linspace (0, 8);
%! x = (2 .* sin (maxfreq .* t) +
%! 3 .* sin ((3/4) * maxfreq .* t) -
%! 0.5 .* sin ((1/4) * maxfreq .* t) -
%! 0.2 .* cos (maxfreq .* t) +
%! cos ((1/4) * maxfreq .* t));
%! o = [maxfreq , (3/4 * maxfreq) , (1/4 * maxfreq)];
%!assert (lombcoeff (t, x, maxfreq), 1076.77574184435, 5e-10);
%!assert (lombcoeff (t, x, 3/4*maxfreq), 1226.53572492183, 5e-10);
%!assert (lombcoeff (t, x, 1/4*maxfreq), 1341.63962181896, 5e-10);
lssa-0.1.4/inst/lombnormcoeff.m 0000644 0000000 0000000 00000004310 13743165726 014643 0 ustar 00 0000000 0000000 ## Copyright (c) 2012 Benjamin Lewis
##
## This program is free software; you can redistribute it and/or modify it under
## the terms of the GNU General Public License as published by the Free Software
## Foundation; either version 3 of the License, or (at your option) any later
## version.
##
## This program is distributed in the hope that it will be useful, but WITHOUT
## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
## FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more
## details.
##
## You should have received a copy of the GNU General Public License along with
## this program; if not, see .
## -*- texinfo -*-
## @deftypefn {Function File} {@var{c} =} lombnormcoeff (@var{time}, @var{mag}, @var{freq})
##
## Return the normalized Lomb Periodogram value at one frequency for a time
## series.
##
## @seealso{lombcoeff}
##
## @end deftypefn
function coeff = lombnormcoeff (T, X, omega)
if (nargin != 3)
print_usage ();
elseif (! all (size (T) == size (X)))
error ("lombnormcoeff: Time series vectors of uneven size");
elseif (! isscalar (omega))
error ("lombnormcoeff: Supplied frequency is not a scalar");
elseif (omega == 0)
error ("lombnormcoeff: Supplied frequency is not a frequency");
endif
xmean = mean (X);
theta = atan2 (sum (sin (2 .* omega .*T)),
sum (cos (2 .* omega .* T))) / (2*omega);
coeff = ((sum ((X-xmean) .* cos (omega .* T - theta)) .^ 2 /
sum (cos (omega .* T - theta) .^ 2) +
sum ((X-xmean) .* sin (omega .* T - theta)) .^ 2 /
sum (sin (omega .* T - theta) .^ 2 )) /
(2 * var(X)));
endfunction
%!shared t, x, o, maxfreq
%! maxfreq = 4 / (2 * pi);
%! t = linspace (0, 8);
%! x = (2 .* sin (maxfreq .* t) +
%! 3 .* sin ((3/4) * maxfreq .* t) -
%! 0.5 .* sin((1/4) * maxfreq .* t) -
%! 0.2 .* cos (maxfreq .* t) +
%! cos ((1/4) * maxfreq .*t));
%! o = [maxfreq , (3/4 * maxfreq) , (1/4 * maxfreq)];
%!assert (lombnormcoeff (t,x,o(1)), 44.7068607258824, 5e-10);
%!assert (lombnormcoeff (t,x,o(2)), 35.7769955188467, 5e-10);
%!assert (lombnormcoeff (t,x,o(3)), 20.7577786183241, 5e-10);
lssa-0.1.4/inst/lscomplex.m 0000644 0000000 0000000 00000006556 13743165726 014037 0 ustar 00 0000000 0000000 ## Copyright (C) 2012 Benjamin Lewis
##
## This program is free software; you can redistribute it and/or modify it under
## the terms of the GNU General Public License as published by the Free Software
## Foundation; either version 3 of the License, or (at your option) any later
## version.
##
## This program is distributed in the hope that it will be useful, but WITHOUT
## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
## FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more
## details.
##
## You should have received a copy of the GNU General Public License along with
## this program; if not, see .
## -*- texinfo -*-
## @deftypefn {Function File} {@var{t} =} lscomplex (@var{time}, @var{mag}, @var{maxfreq}, @var{numcoeff}, @var{numoctaves})
##
## Return a series of least-squares transforms of a complex-valued time series.
## Each transform is minimized independently at each frequency. @var{numcoeff}
## frequencies are tested for each of @var{numoctaves} octaves, starting from
## @var{maxfreq}.
##
## Each result (a + bi) at a given frequency, o, defines the real and imaginary
## coefficients for a sum of cosine and sine functions: a cos(ot) + b i
## sin(ot). The specific frequency can be determined by its index in @var{t},
## @var{ind}, as @var{maxfreq} * 2 ^ (- (@var{ind} - 1) / @var{numcoeff}).
##
## @seealso{lsreal}
## @end deftypefn
function transform = lscomplex (t, x, omegamax, ncoeff, noctave)
if (nargin != 5)
print_usage ();
elseif (! isvector (t))
error ("lscomplex: Time values are not a vector");
elseif (! isvector (x))
error ("lscomplex: Magnitude values are not a vector");
elseif (! all (size (t) == size (x)))
error ("lscomplex: Size of time vector, magnitude vector unequal");
elseif (! isscalar (omegamax))
error ("lscomplex: More than one value for maximum frequency specified");
elseif (! isscalar (ncoeff))
error ("lscomplex: More than one number of frequencies per octave specified");
elseif (! isscalar (noctave))
error ("lscomplex: More than one number of octaves to traverse specified");
elseif (omegamax == 0)
error ("lscomplex: Specified maximum frequency is not a frequency");
elseif (noctave == 0)
error ("lscomplex: No octaves of results requested");
elseif (ncoeff == 0)
error ("lscomplex: No frequencies per octave requested");
elseif (ncoeff != floor (ncoeff))
error ("lscomplex: Specified number of frequencies per octave is not integral");
elseif (noctave != floor (noctave))
error ("lscomplex: Specified number of octaves of results is not integral");
endif
n = numel (t);
iter = 0 : (ncoeff * noctave - 1);
omul = (2 .^ (- iter / ncoeff));
ot = t(:) * (omul * omegamax);
transform = sum ((cos (ot) - (sin (ot) .* i)) .* x(:), 1) / n;
endfunction
%!test
%! maxfreq = 4 / ( 2 * pi );
%! t = [0:0.008:8];
%! x = ( 2 .* sin (maxfreq .* t) +
%! 3 .* sin ( (3 / 4) * maxfreq .* t)-
%! 0.5 .* sin ((1/4) * maxfreq .* t) -
%! 0.2 .* cos (maxfreq .* t) +
%! cos ((1/4) * maxfreq .* t));
%! assert (lscomplex (t, x, maxfreq, 2, 2),
%! [(-0.400924546169395 - 2.371555305867469i), ...
%! (1.218065147708429 - 2.256125004156890i), ...
%! (1.935428592212907 - 1.539488163739336i), ...
%! (2.136692292751917 - 0.980532175174563i)], 5e-10);
lssa-0.1.4/inst/lscomplexwavelet.m 0000644 0000000 0000000 00000010770 13743165726 015420 0 ustar 00 0000000 0000000 ## Copyright (C) 2012 Ben Lewis
##
## This software is free software; you can redistribute it and/or modify it under
## the terms of the GNU General Public License as published by the Free Software
## Foundation; either version 3 of the License, or (at your option) any later
## version.
##
## This program is distributed in the hope that it will be useful, but WITHOUT
## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
## FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more
## details.
##
## You should have received a copy of the GNU General Public License along with
## this program; if not, see .
## -*- texinfo -*-
##
## @deftypefn {Function File} {@var{t} =} lscomplexwavelet (@var{time},
##@var{mag}, @var{maxfreq}, @var{numcoeff}, @var{numoctave}, @var{min_time},
##@var{max_time}, @var{step_time}, @var{sigma}
##
##
## @end deftypefn
function transform = lscomplexwavelet( T, X, omegamax, ncoeff, noctave, tmin, tmax, tstep, sigma = 0.05)
## This function applies a wavelet version of the lscomplex transform; the
## transform is applied for each of multiple windows centred on different time
## values, depending on how many windows are required, since the number of
## windows required for each frequency decreases as the size of the windows
## increases. A higher frequency requires a smaller window to accurately
## capture its details, while a low frequency requires a larger window to
## accomodate its commensurately slower rate of change. For each window, the
## time series is weighted against the cubicwgt function, whose shape is near
## coincident with the Hanning window; unlike the Hanning window, however, the
## cubicwgt window does not involve trigonometric functions—thus it is faster
## to apply to large sets. (Well, testing on my system suggests that for very
## large data sets it actually slows down as it needs to allocate more
## memory. In this instance, a loop may be more effective than a vectorized
## function; more study is needed.) After the window is found, the transform
## is taken at the given frequency, wherein each term is also multiplied by
## the value of the window at its position in the time series. This reduces
## the size of the time series under consideration and improves the local
## accuracy of the transform to the frequency in question.
##
## My problem with the code as it stands is, it doesn't have a good way of
## determining the window size. Sigma is currently up to the user, and sigma
## determines the window width (but that might be best.) Moreover, the method
## of windowing involved (from the source code provided with the paper,
## Mathias, A. et. al. "Algorithms for Spectral Analysis of Irregularly
## Sampled Time Series". Journal of Statistical Software, vol. 11 issue 2, May
## 2004.) does not seem to always cover all values in the data set, and makes
## me suspicious of its ability to accurately transform a data set.
##
transform = cell(noctave*ncoeff,1);
for octave_iter = 1:noctave
## In fastnu.c, winrad is set as π/(sigma*omegaoct); I suppose this is
## ... feasible, although it will need to be noted that if sigma is set too
## large, the windows will exclude data. I can work with that.
##
## An additional consideration is that
for coeff_iter = 1:ncoeff
## in this, win_t is the centre of the window in question
## Although that will vary depending on the window. This is just an
## implementation for the first window.
current_iteration = (octave_iter-1)*ncoeff+coeff_iter;
window_radius = pi / ( sigma * omegamax * ( 2 ^ ( current_iteration - 1 ) ) );
window_count = 2 * ceil ( ( tmax - tmin ) / window_radius ) - 1;
omega = current_frequency = omegamax * 2 ^ ( - octave_iter*coeff_iter / ncoeff );
transform{current_iteration}=zeros(1,window_count);
## win_t is the centre of the current window.
win_t = tmin + window_radius;
for iter_window = 1:window_count
## Computes the transform as stated in the paper for each given frequency.
zeta = sum ( cubicwgt ( sigma .* omega .* ( T - win_t ) ) .* exp ( -i .* omega .* ( T - win_t ) ) .* X ) / sum ( cubicwgt ( sigma .* omega .* ( T - win_t ) ) .* exp ( -i .* omega .* ( T - win_t ) ) );
transform{current_iteration}(iter_window) = zeta;
window_min += window_radius ;
endfor
endfor
endfor
endfunction
lssa-0.1.4/inst/lscorrcoeff.m 0000644 0000000 0000000 00000012137 13743165726 014330 0 ustar 00 0000000 0000000 ## Copyright (C) 2012 Benjamin Lewis
##
## This program is free software; you can redistribute it and/or modify it under
## the terms of the GNU General Public License as published by the Free Software
## Foundation; either version 3 of the License, or (at your option) any later
## version.
##
## This program is distributed in the hope that it will be useful, but WITHOUT
## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
## FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more
## details.
##
## You should have received a copy of the GNU General Public License along with
## this program; if not, see .
## -*- texinfo -*-
## @deftypefn {Function File} {@var{c} =} lscorrcoeff (@var{time1}, @var{mag1}, @var{time2}, @var{mag2}, @var{time}, @var{freq})
## @deftypefnx {Function File} {@var{c} =} lscorrcoeff (@var{time1}, @var{mag1}, @var{time2}, @var{mag2}, @var{time}, @var{freq}, @var{window} = @var{cubicwgt})
## @deftypefnx {Function File} {@var{c} =} lscorrcoeff (@var{time1}, @var{mag1}, @var{time2}, @var{mag2}, @var{time}, @var{freq}, @var{window} = @var{cubicwgt}, @var{winradius} = 1)
##
## Return the coefficient of the wavelet correlation of two complex time
## series. The correlation is only effective at a given time and frequency.
## The windowing function applied by default is cubicwgt, this can be changed by
## passing a different function handle to @var{window}, while the radius applied
## is set by @var{winradius}. Note that this will be most effective when both
## series have had their mean value (if it is not zero) subtracted (and stored
## separately); this reduces the constant-offset error further, and allows the
## functions to be compared on their periodic features rather than their
## constant features.
##
## @seealso{lswaveletcoeff, lscomplexwavelet, lsrealwavelet}
##
## @end deftypefn
function coeff = lscorrcoeff (x1, y1, x2, y2, t, o, wgt = @cubicwgt, wgtrad = 1)
## Input checking is absolutely necessary.
if (!((nargin >= 6) && (nargin <= 8)))
print_usage ();
## Test to be sure x1, y1, x2, y2 are all vectors, and that t and o are
## scalars.
elseif (! isvector (x1))
error ("lscorrcoeff: First time series time values are not a vector");
elseif (! isvector (y1))
error ("lscorrcoeff: First time series magnitude values are not a vector");
elseif (! isvector (x2))
error ("lscorrcoeff: Second time series time values are not a vector");
elseif (! isvector (y2))
error ("lscorrcoeff: Second time series magnitude values are not a vector");
elseif (! isscalar (t))
error ("lscorrcoeff: Window centre is not a scalar");
elseif (! isscalar (o))
error ("lscorrcoeff: Specified frequency is not a scalar");
elseif (! isscalar (wgtrad))
error ("lscorrcoeff: Window radius is not a scalar");
elseif (! all (size (x1) == size (y1)))
error ("lscorrcoeff: First time series vectors not of matching size");
elseif (! all (size (x2) == size (y2)))
error ("lscorrcoeff: Second time series vectors not of matching size");
endif
## How to determine if a weight function has been assigned or not? (Possible
## to get name of function?)
so = 0.05 * o;
## The first solution that comes to mind is admittedly slightly
## ugly and has a data footprint of O(2n) but it is vectorised.
mask = (abs (x1 - t) * so) < wgtrad;
rx1 = x1(mask);
## FIXME : Needs to have a noisy error if length(y1) != length(x1) -- add this!
ry1 = y1(mask);
mask = (abs (x2 - t) * so ) < wgtrad;
rx2 = x2(mask);
ry2 = y2(mask);
windowed_element_count = length (rx1);
if (windowed_element_count == 0)
error("lscorrcoeff: No time-series elements contained in window");
endif
s = sum (wgt ((rx1 - t) .* so)) * sum (wgt ((rx2 - t ) .* so ));
if (s != 0)
coeff = sum (wgt ((rx1 - t) .* so) .* exp (i * o .* rx1) .* ry1) * ...
sum (wgt ((rx2 - t) .* so) .* exp (i * o .* rx2) .* conj (ry2)) / s;
else
coeff = 0;
endif
endfunction
%!shared t, p, x, y, z, o, maxfreq
%! maxfreq = 4 / (2 * pi);
%! t = linspace (0, 8);
%! x = (2 .* sin (maxfreq .* t) +
%! 3 .* sin ((3/4) * maxfreq .* t) -
%! 0.5 .* sin ((1/4) * maxfreq .* t) -
%! 0.2 .* cos (maxfreq .* t) +
%! cos ((1/4) * maxfreq .* t));
%! y = - x;
%! p = linspace (0, 8, 500);
%! z = (2 .* sin (maxfreq .* p) +
%! 3 .* sin ((3/4) * maxfreq .* p) -
%! 0.5 .* sin ((1/4) * maxfreq .* p) -
%! 0.2 .* cos (maxfreq .* p) +
%! cos ((1/4) * maxfreq .* p));
%! o = [maxfreq , (3/4 * maxfreq) , (1/4 * maxfreq)];
%!assert (lscorrcoeff (t, x, t, x, 0.5, maxfreq),
%! -5.54390340863576 - 1.82439880893383i, 5e-10);
%!assert (lscorrcoeff (t, x, t, y, 0.5, maxfreq),
%! 5.54390340863576 + 1.82439880893383i, 5e-10);
%!assert (lscorrcoeff (t, x, p, z, 0.5, maxfreq),
%! -5.55636741054624 - 1.82803733863170i, 5e-10);
## Demo with sin, cos as Nir suggested.
%!demo
%! ## This generates the correlation coefficient at time 0.5 and circular freq. 0.9
%! x = 1:10;
%! y = sin (x);
%! z = cos (x);
%! a = lscorrcoeff (x, y, x, z, 0.5, 0.9)
lssa-0.1.4/inst/lsreal.m 0000644 0000000 0000000 00000010170 13743165726 013276 0 ustar 00 0000000 0000000 ## Copyright (C) 2012 Benjamin Lewis
##
## This program is free software; you can redistribute it and/or modify it under
## the terms of the GNU General Public License as published by the Free Software
## Foundation; either version 3 of the License, or (at your option) any later
## version.
##
## This program is distributed in the hope that it will be useful, but WITHOUT
## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
## FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more
## details.
##
## You should have received a copy of the GNU General Public License along with
## this program; if not, see .
## -*- texinfo -*-
## @deftypefn {Function File} {@var{t} =} lsreal (@var{time}, @var{mag}, @var{maxfreq}, @var{numcoeff}, @var{numoctaves})
##
## Return a series of least-squares transforms of a real-valued time series.
## Each transform is minimized independently for each frequency. The method
## used is a Lomb-Scargle transform of the real-valued (@var{time}, @var{mag})
## series, starting from frequency @var{maxfreq} and descending @var{numoctaves}
## octaves with @var{numcoeff} coefficients per octave.
##
## The result of the transform for each frequency is the coefficient of a sum of
## sine and cosine functions modified by that frequency, in the form of a
## complex number—where the cosine coefficient is encoded in the real term, and
## the sine coefficient is encoded in the imaginary term. Each frequency is fit
## independently from the others, and to minimize very low frequency error,
## consider storing the mean of a dataset with a constant or near-constant
## offset separately, and subtracting it from the dataset.
##
## @seealso{lscomplex}
## @end deftypefn
function transform = lsreal (t, x, omegamax, ncoeff, noctave)
## Sanity checks to make sure that the user can get meaningful errors.
if (nargin != 5)
print_usage ();
elseif (! isvector (t))
error ("lsreal: Time values are not a vector");
elseif (! isvector (x))
error ("lsreal: Magnitude values are not a vector");
elseif (! all (size (t) == size (x)))
error ("lsreal: Size of time vector, magnitude vector unequal");
elseif (! isscalar (omegamax))
error ("lsreal: More than one value for maximum frequency specified");
elseif (! isscalar (ncoeff))
error ("lsreal: More than one number of frequencies per octave specified");
elseif (! isscalar (noctave))
error ("lsreal: More than one number of octaves to traverse specified");
elseif (omegamax == 0)
error ("lsreal: Specified maximum frequency is not a frequency");
elseif (noctave == 0)
error ("lsreal: No octaves of results requested");
elseif (ncoeff == 0)
error ("lsreal: No frequencies per octave requested");
elseif (ncoeff != floor (ncoeff))
error ("lsreal: Specified number of frequencies per octave is not integral");
elseif (noctave != floor (noctave))
error ("lsreal: Specified number of octaves of results is not integral");
endif
n = numel (t);
iter = 0 : (ncoeff * noctave - 1);
omul = (2 .^ (- iter / ncoeff));
## For a given frequency, the iota term is taken at twice the frequency of the
## zeta term.
ot = t(:) * (omul * omegamax);
oit = t(:) * (omul * omegamax * 2);
zeta = sum ((cos (ot) - (sin (ot) .* i)) .* x(:), 1) / n;
iota = sum ((cos (oit) - (sin (oit) .* i)), 1) / n;
transform = 2 .* (conj (zeta) - conj (iota) .* zeta) ./ (1 - abs (iota) .^ 2);
endfunction
%!test
%! maxfreq = 4 / ( 2 * pi );
%! t = linspace(0,8);
%! x = ( 2 .* sin ( maxfreq .* t ) +
%! 3 .* sin ( (3/4) * maxfreq .* t ) -
%! 0.5 .* sin ( (1/4) * maxfreq .* t ) -
%! 0.2 .* cos ( maxfreq .* t ) +
%! cos ( (1/4) * maxfreq .* t ) );
%! # In the assert here, I've got an error bound large enough to catch
%! # individual system errors which would present no real issue.
%! assert (lsreal (t,x,maxfreq,2,2),
%! [(-1.68275915310663 + 4.70126183846743i), ...
%! (1.93821553170889 + 4.95660209883437i), ...
%! (4.38145452686697 + 2.14403733658600i), ...
%! (5.27425332281147 - 0.73933440226597i)],
%! 5e-10)
lssa-0.1.4/inst/lsrealwavelet.m 0000644 0000000 0000000 00000007721 13743165726 014676 0 ustar 00 0000000 0000000 ## Copyright (C) 2012 Benjamin Lewis
##
## This program is free software; you can redistribute it and/or modify it under
## the terms of the GNU General Public License as published by the Free Software
## Foundation; either version 3 of the License, or (at your option) any later
## version.
##
## This program is distributed in the hope that it will be useful, but WITHOUT
## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
## FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more
## details.
##
## You should have received a copy of the GNU General Public License along with
## this program; if not, see .
##-*- texinfo -*-
## @deftypefn {Function File} {t =} lsrealwavelet( @var{time}, @var{mag},
## @var{maxfreq}, @var{coefficients}, @var{octaves}, @var{time_min},
## @var{time_max}, @var{min_window_count} )
##
## Computes a windowed transform of the supplied (@var{time}, @var{mag}) series
## of real-valued magnitudes, applying progressively wider windows as the
## frequencies tested decline from the maximum frequency.
##
## Currently non-functional.
##
## @seealso{lscomplexwavelet, lswaveletcoeff, lscorrcoeff}
##
## @end deftypefn
function transform = lsrealwavelet(T, X, maxfreq, ncoeff, noctave, t_min, t_max, minimum_window_number )
omegamult = 2 ^ ( - 1/ ncoeff )
omegamult_inv = 1 / omegamult
minimum_window_width = ( t_max - t_min ) / minimum_window_number;
minimum_window_radius = minimum_window_width / 2;
sigma = maxfreq * 2 ^ ( noctave ) / minimum_window_radius;
## sigma needs to be such that | t _ k - t | = minimum_window_radius implies
## that sigma * maxfrequency * 2 ^ ( - noctave ) * minimum_window_radius = 1
## for a specific other frequency, sigma * frequency * window_radius = 1 means
## window_radius = 1 / ( frequency * sigma )
o = maxfreq;
# zeta _ ( t , omega ) = sum(w(sigma omega (t_k - t )e^(-i omega (t_k - t))xi_k)
# / sum( w(sigma omega ( t_k - t ) ) );
#
# w ( t ) = { 1 - 3 | t | ^ 2 + 2 | t | ^ 3 , t in [ - 1 , 1 ] ; 0 for others }
# Now, I *think* that this transform is supposed to be applied by taking
# t as the centre of each window, while sigma should scale the time
# values inside the window to the window. I think.
transform = cell(noctave*ncoeff,1);
for iter = 1:(noctave*ncoeff)
## in this, win_t is the centre of the window in question
window_min = t_min;
## Although that will vary depending on the window. This is just an
## implementation for the first window.
current_frequency = maxfreq * 2 ^ ( - iter / ncoeff );
current_radius = 1 / ( current_frequency * sigma );
current_window_number = ceil( ( t_max - t_min ) / current_radius);
transform{iter} = zeros(1,current_window_number);
win_t = window_min + current_radius;
for iter_window = 1:current_window_number
## the beautiful part of this code is that if parts end up falling outside the
## vector, it won't matter (although it's wasted computations.)
## I may add a trap to avoid too many wasted cycles.
windowed_t = ((abs (T-win_t) < current_radius) .* T);
## this will of course involve an additional large memory allocation, at least in the short term,
## but it's faster to do the operation once on the time series, then multiply it by the data series.
iota0 = sum ( cubicwgt (windowed_t ./ current_radius ) );
zeta = sum( cubicwgt ((windowed_t - win_t) ./ current_radius) .* exp( - i * o .* windowed_t ) .* X ) / iota0;
iota = sum( cubicwgt ((windowed_t - win_t) ./ current_radius) .* exp( - i * 2 * o .* windowed_t) .* X ) / sum ( cubicwgt( windowed_t .* 2 * o ) );
transform{iter}(iter_window) = 2 * ( conj(zeta) * iota0 + zeta * conj(iota) ) / ( ( length ( find (windowed_t)) + iota0 ) ^ 2 - real(iota) ^ 2 - imag(iota) ^ 2 );
window_min += 2 * current_radius;
## I remain hesitant about this value, since it is entirely possible necessary precision will be lost. Should I try to reduce that?
endfor
o *= omegamult;
endfor
endfunction
lssa-0.1.4/inst/lswaveletcoeff.m 0000644 0000000 0000000 00000007315 13743165726 015034 0 ustar 00 0000000 0000000 ## Copyright (C) 2012 Benjamin Lewis
##
## This program is free software; you can redistribute it and/or modify it under
## the terms of the GNU General Public License as published by the Free Software
## Foundation; either version 3 of the License, or (at your option) any later
## version.
##
## This program is distributed in the hope that it will be useful, but WITHOUT
## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
## FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more
## details.
##
## You should have received a copy of the GNU General Public License along with
## this program; if not, see .
## -*- texinfo -*-
## @deftypefn {Function File} {@var{c} =} lswaveletcoeff (@var{t}, @var{x}, @var{time}, @var{freq})
## @deftypefnx {Function File} {@var{c} =} lswaveletcoeff (@var{t}, @var{x}, @var{time}, @var{freq}, @var{window}=cubicwgt)
## @deftypefnx {Function File} {@var{c} =} lswaveletcoeff (@var{t}, @var{x}, @var{time}, @var{freq}, @var{window}=cubicwgt, @var{winradius}=1)
##
## Return the wavelet transform of a complex time series in a given window. The
## transform takes a complex time series (@var{t}, @var{x}) at time @var{time}
## and frequency @var{freq}, then applies a windowing function to it; the
## default is cubicwgt, however by providing a function handle for the optional
## variable @var{window}, the user may select their own function; to determine
## the radius of the interval around the @var{time} selected, set
## @var{winradius} to some value other than 1.
##
## This transform operates identically to the transform at the heart of
## lscomplexwavelet, however for one window only.
##
## @seealso{lscorrcoeff, lscomplexwavelet, lsrealwavelet}
##
## @end deftypefn
function coeff = lswaveletcoeff (x, y, t, o, wgt = @cubicwgt, wgtrad = 1)
if (! (nargin >= 4) && (nargin <= 6))
print_usage ();
elseif (! isvector (x))
error ("lswaveletcoeff: Time values are not a vector");
elseif (! isvector (y))
error ("lswaveletcoeff: Magnitude values are not a vector");
elseif (! all (size (x) == size (y)))
error ("lswaveletcoeff: Time series vectors of uneven size");
elseif (! isscalar (t))
error ("lswaveletcoeff: Window centre specified is not scalar");
elseif (! isscalar (o))
error ("lswaveletcoeff: Frequency specified is not scalar");
elseif (! isscalar (wgtrad))
error ("lswaveletcoeff: Window radius specified is not scalar");
endif
so = 0.05 .* o;
if ((ndims (x) == 2) && ! (rows (x) == 1))
x = reshape (x, 1, length (x));
y = reshape (y, 1, length (y));
endif
mask = (abs (x - t) * so < wgtrad);
rx = x(mask);
ry = y(mask);
## Going by the R code, this can use the same mask.
s = sum (wgt ((x - t) .* so));
coeff = ifelse (s != 0,
sum (wgt ((rx - t) .* so) .*
exp (i .* o .* (rx - t)) .* ry) ./ s,
0);
endfunction
%!shared t, p, x, y, maxfreq
%! maxfreq = 4 / (2 * pi);
%! t = linspace (0, 8);
%! x = (2 .* sin (maxfreq .* t) +
%! 3 .* sin ((3/4) * maxfreq .* t) -
%! 0.5 .* sin ((1/4) * maxfreq .* t) -
%! 0.2 .* cos (maxfreq .* t) +
%! cos ((1/4) * maxfreq .* t));
%! y = - x;
%! p = linspace (0, 8, 500);
%!assert (lswaveletcoeff (t, x, 0.5, maxfreq),
%! 0.383340407638780 + 2.385251997545446i, 5e-10);
%!assert (lswaveletcoeff (t, y, 3.3, 3/4 * maxfreq),
%! -2.35465091096084 + 1.01892561714824i, 5e-10);
%!demo
%! ## Generates the wavelet transform coefficient for time 0.5 and circ. freq. 0.9, for row & column vectors.
%! x = 1:10;
%! y = sin (x);
%! xt = x';
%! yt = y';
%! a = lswaveletcoeff (x, y, 0.5, 0.9)
%! b = lswaveletcoeff (xt, yt, 0.5, 0.9)
lssa-0.1.4/samples/ 0000755 0000000 0000000 00000000000 13743165726 012326 5 ustar 00 0000000 0000000 lssa-0.1.4/samples/SampleDataSet.m 0000644 0000000 0000000 00000002014 13743165726 015170 0 ustar 00 0000000 0000000 ## Copyright (C) 2012 Benjamin Lewis
##
## This program is free software; you can redistribute it and/or modify it under
## the terms of the GNU General Public License as published by the Free Software
## Foundation; either version 3 of the License, or (at your option) any later
## version.
##
## This program is distributed in the hope that it will be useful, but WITHOUT
## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
## FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more
## details.
##
## You should have received a copy of the GNU General Public License along with
## this program; if not, see .
## No function structure to this, I just want to use it to store the
## sums of sines and cosines I'll use for testing.
xvec = linspace(0,8,1000);
maxfreq = 4 / ( 2 * pi );
yvec = ( 2.*sin(maxfreq.*xvec) + 3.*sin((3/4)*maxfreq.*xvec)
- 0.5 .* sin((1/4)*maxfreq.*xvec) - 0.2 .* cos(maxfreq .* xvec)
+ cos((1/4)*maxfreq.*xvec));
lssa-0.1.4/samples/SampleScriptWithVostokData 0000644 0000000 0000000 00000016614 13743165726 017523 0 ustar 00 0000000 0000000 ## Copyright (C) 2012 Benjamin Lewis
## Licensed under the GNU GPL v2
## This is just a sample script to introduce the purpose and usage of
## the Lomb-Scargle Least Squares method with experimental data, here
## using the Vostok ice core data collected and measured by J.R. Petit
## et. al. and published in Nature; also available from the NOAA's
## Paleoclimatology pages here:
## .
co2 = csvread("./data/co2.csv")(2:end,2:end);
ch4 = csvread("./data/ch4.csv")(2:end,2:end);
o18 = csvread("./data/o18.csv")(2:end,2:end);
deut = csvread("./data/deut.csv")(2:end,2:end);
dust = csvread("./data/dust.csv")(2:end,2:end);
## The limited ranges are to deal with artifacts from the extraction of
## the R data, notably that it leaves an extra column on the front of 0s
## and the first row is text that Octave refuses to process.
## Columns in co2 are Depth, Ice Age, Gas Age, and CO2 Concentration.
## Columns in ch4 are Depth, Ice Age, Gas Age, and CH4 Concentration.
## Columns in o18 are Depth, Ice Age, Gas Age, and Atmospheric O18.
## Columns in dust are Depth, Ice Age, Dust Concentration.
## Columns in deut are Depth, Ice Age, D concentration, and DeltaTS.
co2_fig = figure("visible","off","name","CO2");
ch4_fig = figure("visible","off","name","CH4");
o18_fig = figure("visible","off","name","O18");
deut_fig = figure("visible","off","name","Deuterium");
dust_fig = figure("visible","off","name","Dust");
## Generates figures and attaches handles to them for easy access.
## Now we need some data to display; I'll run a few functions.
ls_complex_co2_ice_age = lscomplex(co2(:,2),co2(:,4),1,100,20);
ls_complex_co2_gas_age = lscomplex(co2(:,3),co2(:,4),1,100,20);
ls_real_co2_ice_age = lsreal(co2(:,2),co2(:,4),1,100,20);
ls_real_co2_gas_age = lsreal(co2(:,3),co2(:,4),1,100,20);
ls_complex_ch4_ice_age = lscomplex(ch4(:,2),ch4(:,4),1,100,20);
ls_complex_ch4_gas_age = lscomplex(ch4(:,3),ch4(:,4),1,100,20);
ls_real_ch4_ice_age = lsreal(ch4(:,2),ch4(:,4),1,100,20);
ls_real_ch4_gas_age = lsreal(ch4(:,3),ch4(:,4),1,100,20);
ls_complex_o18_ice_age = lscomplex(o18(:,2),o18(:,4),1,100,20);
ls_complex_o18_gas_age = lscomplex(o18(:,3),o18(:,4),1,100,20);
ls_real_o18_ice_age = lsreal(o18(:,2),o18(:,4),1,100,20);
ls_real_o18_gas_age = lsreal(o18(:,3),o18(:,4),1,100,20);
ls_complex_deut = lscomplex(deut(:,2),deut(:,3),1,100,20);
ls_real_deut = lsreal(deut(:,2),deut(:,3),1,100,20);
ls_complex_dust = lscomplex(dust(:,2),dust(:,3),1,100,20);
ls_real_dust = lsreal(dust(:,2),dust(:,3),1,100,20);
x_data_axis_vector = [ -430000, 0 ];
## Useful because all of the data extends over 430 000 years up to the
## present.
## Setting up the CO2 plots:
figure(co2_fig);
subplot(4,2,1);
axis(x_data_axis_vector);
plot(-(co2(:,2)),co2(:,4));
title("Gas levels over ice age");
subplot(4,2,2);
axis(x_data_axis_vector);
plot(-(co2(:,3),co2(:,4));
title("Gas levels over gas age");
subplot(4,2,3);
plot(real(ls_complex_co2_ice_age));
hold on;
plot(imag(ls_complex_co2_ice_age),'r');
title("Complex L-S transform of Gas/ice age data");
legend("Real part","Imaginary part");
subplot(4,2,4);
plot(real(ls_complex_co2_gas_age));
hold on;
plot(imag(ls_complex_co2_gas_age),'r');
title("Complex L-S transform of Gas/gas age data");
legend("Real part","Imaginary part");
subplot(4,2,5);
plot(real(ls_real_co2_ice_age));
hold on;
plot(imag(ls_real_co2_ice_age),'r');
title("Real L-S transform of Gas/ice age data");
legend("Real part","Imaginary part");
subplot(4,2,6);
plot(real(ls_real_co2_gas_age));
hold on;
plot(imag(ls_real_co2_gas_age));
title("Real L-S transform of Gas/gas age data");
legend("Real part","Imaginary part");
## At this point, we have transforms of both datasets, real and complex,
## and just need to figure out what cool thing to do with the remaining slot.
## Setting up the CH4 plots
figure(ch4_fig);
subplot(4,2,1);
axis(x_data_axis_vector);
plot(-(ch4(:,2)),ch4(:,4));
title("Gas levels over ice age");
subplot(4,2,2);
axis(x_data_axis_vector);
plot(-(ch4(:,3),ch4(:,4));
title("Gas levels over gas age");
subplot(4,2,3);
plot(real(ls_complex_ch4_ice_age));
hold on;
plot(imag(ls_complex_ch4_ice_age),'r');
title("Complex L-S transform of Gas/ice age data");
legend("Real part","Imaginary part");
subplot(4,2,4);
plot(real(ls_complex_ch4_gas_age));
hold on;
plot(imag(ls_complex_ch4_gas_age),'r');
title("Complex L-S transform of Gas/gas age data");
legend("Real part","Imaginary part");
subplot(4,2,5);
plot(real(ls_real_ch4_ice_age));
hold on;
plot(imag(ls_real_ch4_ice_age),'r');
title("Real L-S transform of Gas/ice age data");
legend("Real part","Imaginary part");
subplot(4,2,6);
plot(real(ls_real_ch4_gas_age));
hold on;
plot(imag(ls_real_ch4_gas_age));
title("Real L-S transform of Gas/gas age data");
legend("Real part","Imaginary part");
## Setting up the O18 plots:
figure(o18_fig);
subplot(4,2,1);
axis(x_data_axis_vector);
plot(-(o18(:,2)),o18(:,4));
title("Gas levels over ice age");
subplot(4,2,2);
axis(x_data_axis_vector);
plot(-(o18(:,3),o18(:,4));
title("Gas levels over gas age");
subplot(4,2,3);
plot(real(ls_complex_o18_ice_age));
hold on;
plot(imag(ls_complex_o18_ice_age),'r');
title("Complex L-S transform of Gas/ice age data");
legend("Real part","Imaginary part");
subplot(4,2,4);
plot(real(ls_complex_o18_gas_age));
hold on;
plot(imag(ls_complex_o18_gas_age),'r');
title("Complex L-S transform of Gas/gas age data");
legend("Real part","Imaginary part");
subplot(4,2,5);
plot(real(ls_real_o18_ice_age));
hold on;
plot(imag(ls_real_o18_ice_age),'r');
title("Real L-S transform of Gas/ice age data");
legend("Real part","Imaginary part");
subplot(4,2,6);
plot(real(ls_real_o18_gas_age));
hold on;
plot(imag(ls_real_o18_gas_age));
title("Real L-S transform of Gas/gas age data");
legend("Real part","Imaginary part");
## Setting up Dust plots:
figure(dust_fig);
subplot(4,1,1);
axis(x_data_axis_vector);
plot(-(dust(:,2)),dust(:,3));
title("Dust levels over ice age");
subplot(4,1,2);
plot(real(ls_complex_dust_ice_age));
hold on;
plot(imag(ls_complex_dust_ice_age),'r');
title("Complex L-S transform of Dust/ice age data");
legend("Real part","Imaginary part");
subplot(4,1,3);
plot(real(ls_real_dust_ice_age));
hold on;
plot(imag(ls_real_dust_ice_age),'r');
title("Real L-S transform of Dust/ice age data");
legend("Real part","Imaginary part");
## Setting up Deuterium plots:
figure(deut_fig);
subplot(4,1,1);
axis(x_data_axis_vector);
plot(-(deut(:,2)),deut(:,3));
title("Deuterium levels over ice age");
subplot(4,1,2);
plot(real(ls_complex_deut_ice_age));
hold on;
plot(imag(ls_complex_deut_ice_age),'r');
title("Complex L-S transform of Deuterium/ice age data");
legend("Real part","Imaginary part");
subplot(4,1,3);
plot(real(ls_real_deut_ice_age));
hold on;
plot(imag(ls_real_deut_ice_age),'r');
title("Real L-S transform of Deuterium/ice age data");
legend("Real part","Imaginary part");
co2_ch4_comparison_figure = figure("visible","off","name","CO2/CH4
comparison");
subplot(4,1,1);
axes(x_data_axis_vector);
plot(-(co2(:,2)),co2(:,4));
hold on;
plot(-(ch4(:,2)),ch4(:,4),'g');
title("CO2 and CH4 data");
legend("CO2","CH4");
subplot(4,1,2);
plot(abs(ls_complex_co2_ice_age));
hold on;
plot(abs(ls_complex_ch4_gas_age),'g');
title("Abs. values of CO2 and CH4 L-S complex transforms");
legend("CO2,CH4");
## to implement:
## - displays of all the data and flaws in trying to model with just
## using L-S data
## - correlations of every data set with every other data set
## - Comparing ls* results to periodogram results lssa-0.1.4/src/ 0000755 0000000 0000000 00000000000 13743165726 011451 5 ustar 00 0000000 0000000 lssa-0.1.4/src/Makefile 0000644 0000000 0000000 00000001347 13743165726 013116 0 ustar 00 0000000 0000000 MKOCTFILE ?= mkoctfile
GREP ?= grep
CC_SOURCES := $(wildcard *.cc)
CC_TST_SOURCES := $(shell $(GREP) --files-with-matches '^%!' $(CC_SOURCES))
TST_SOURCES := $(patsubst %.cc,../inst/test/%.cc-tst,$(CC_TST_SOURCES))
all: fastlscomplex.oct $(TST_SOURCES)
fastlscomplex.oct: fastlscomplex.cc
$(MKOCTFILE) fastlscomplex.cc
# fastlsreal compilation is disabled for the time being
#fastlsreal.oct: fastlsreal.cc
# $(MKOCTFILE) fastlsreal.cc
../inst/test:
@mkdir -p "$@"
$(TST_SOURCES): ../inst/test/%.cc-tst: %.cc | ../inst/test
@echo "Extracting tests from $< ..."
@$(RM) -f "$@" "$@-t"
@( echo "## Generated from $<"; \
$(GREP) '^%!' "$<") > "$@"
# helper function just in case
clean:
rm -f *.o *.oct *~ octave-core $(TST_SOURCES)
lssa-0.1.4/src/fastlscomplex.cc 0000644 0000000 0000000 00000050637 13743165726 014657 0 ustar 00 0000000 0000000 /* Copyright (C) 2012 Benjamin Lewis
* Copyright (C) 2016-2020 John Donoghue
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation; either version 3 of the License, or
* (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License along
* with this program; if not, write to the Free Software Foundation, Inc.,
* 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
*/
#include
#include
#include
#include
#include
#include
#include
bool flscomplex (const RowVector & tvec, const ComplexRowVector & xvec,
double maxfreq, int coefficients, int octaves, ComplexRowVector & result);
DEFUN_DLD(fastlscomplex,args,nargout,
"-*- texinfo -*-\n\
@deftypefn {Function File} { C = } fastlscomplex \
(@var{time},@var{magnitude},@var{maxfreq},@var{ncoeff},@var{noctave})\n \
\n\
Return a series of least-squares transforms of a complex time series via a divide and\n\
conquer algorithm. Each transform is minimized independently at each frequency,\n\
starting from @var{maxfreq} and descending over @var{ncoeff} frequencies for\n\
each of @var{noctave} octaves.\n\
\n\
For each result, the complex result for a given frequency o defines the real and\n\
imaginary sinusoids which have the least distance to the data set: for a + bi,\n\
the matching sinusoids are a cos (ot) + b i sin (ot).\n\
\n\
@seealso{lscomplex, fastlsreal}\n\
\n\
@end deftypefn")
{
octave_value_list retval;
if (args.length() != 5)
print_usage();
else if (!args(0).is_matrix_type() || args(0).rows() != 1)
{
error ("fastlscomplex: expected times to be a row vector");
return retval;
}
else if (!args(1).is_matrix_type() || args(1).rows() != 1)
{
error ("fastlscomplex: expected magnitude to be a row vector");
return retval;
}
else
{
RowVector tvals = args(0).row_vector_value ();
ComplexRowVector xvals = args(1).complex_row_vector_value ();
double omegamax = args(2).double_value ();
int noctaves = args(3).int_value ();
int ncoeff = args(4).int_value ();
if (tvals.numel () != xvals.numel ())
{
if (tvals.numel () > xvals.numel ())
{
error ("fastlscomplex: More time values than magnitude values");
return retval;
}
else
{
error ("fastlscomplex: More magnitude values than time values");
return retval;
}
}
if (ncoeff == 0)
{
error ("fastlscomplex: No coefficients to compute");
return retval;
}
if (noctaves == 0)
{
error ("fastlscomplex: No octaves to compute over");
return retval;
}
if (omegamax == 0)
{
error ("fastlscomplex: No difference between minimal and maximal frequency");
return retval;
}
ComplexRowVector results;
if (flscomplex (tvals, xvals, omegamax, noctaves, ncoeff, results))
retval(0) = octave_value (results);
else
{
error ("fastlscomplex: error in the underlying flscomplex function");
}
}
return retval;
}
bool flscomplex (const RowVector & tvec, const ComplexRowVector & xvec,
double maxfreq, int octaves, int coefficients,
ComplexRowVector & results)
{
struct Precomputation_Record
{
Precomputation_Record *next;
std::complex power_series[12]; // I'm using 12 as a matter of compatibility, only.
bool stored_data;
};
const std::complex *xvec_ptr = xvec.data ();
const double *tvec_ptr = tvec.data ();
results.resize (coefficients * octaves);
const std::complex *results_ptr = results.fortran_vec ();
double tau, delta_tau, tau_0, tau_h, n_inv, mu, te,
omega_oct, omega_multiplier, octavemax, omega_working,
loop_tau_0, loop_delta_tau, on_1, n_1, o;
double length = tvec_ptr[tvec.numel () - 1] - tvec_ptr[0];
int octave_iter, coeff_iter;
std::complex zeta, zz, z_accumulator, exp_term, exp_multiplier,
alpha, h, *tpra, *temp_ptr_alpha, temp_alpha[12], *tprb, *temp_ptr_beta,
temp_beta[12], temp_array[12], *p, x;
octave_idx_type n = tvec.numel ();
for (int array_iter = 0; array_iter < 12; array_iter++)
temp_array[array_iter] = std::complex (0 , 0);
int factorial_array[12];
factorial_array[0] = 1;
for (int i = 1; i < 12; i++)
factorial_array[i] = factorial_array[i-1] * i;
n_1 = n_inv = 1.0 / n;
mu = (0.5 * M_PI) / length; // Per the article; this is in place to improve numerical accuracy if desired.
/* Viz. the paper, in which Dtau = c / omega_max, and c is stated as pi/2 for floating point processors,
* In the case of this computation, I'll go by the recommendation.
*/
delta_tau = (0.5 * M_PI) / maxfreq;
tau_0 = tvec_ptr[0] + delta_tau;
tau_h = tau_0;
te = tau_h + delta_tau;
octave_idx_type k = 0; // Iterator for accessing xvec, tvec.
Precomputation_Record * precomp_records_head, *record_current, *record_tail, *record_ref, *record_next;
record_current = precomp_records_head = new Precomputation_Record;
for (te = tvec_ptr[k] + (2 * delta_tau) ; ;)
{
x = xvec_ptr[k];
{
double t = mu *(tvec_ptr[k] - tau_h), tt;
p = record_current->power_series;
// p = 0
*p++ = x;
// p = 1
tt = -t;
h = x * tt;
*p++ = std::complex (-h.imag (), h.real ());
// p = 2
tt *= t*(1.0/2.0);
*p++ = x*tt;
// p = 3
tt *= t*(-1.0/3.0);
h = x * tt;
*p++ = std::complex (-h.imag (), h.real ());
// p = 4
tt *= t*(1.0/4.0);
*p++ = x*tt;
// p = 5
tt *= t*(-1.0/5.0);
h = x * tt;
*p++ = std::complex(-h.imag () ,h.real ());
// p = 6
tt *= t*(1.0/6.0);
*p++ = x*tt;
// p = 7
tt *= t*(-1.0/7.0);
h = x * tt;
*p++ = std::complex(-h.imag(),h.real());
// p = 8
tt *= t*(1.0/8.0);
*p++ = x*tt;
// p = 9
tt *= t*(-1.0/9.0);
h = x * tt;
*p++ = std::complex(-h.imag(),h.real());
// p = 10
tt *= t*(1.0/10.0);
*p++ = x*tt;
// p = 11
tt *= t*(-1.0/11.0);
h = x * tt;
*p++ = std::complex(-h.imag(),h.real());
}
record_current->stored_data = true;
for(k++; k < n && tvec_ptr[k] < te; k++)
{
x = std::complex (xvec_ptr[k]);
{
double t = mu * (tvec_ptr[k] - tau_h), tt;
p = record_current->power_series;
// p = 0
*p++ += std::complex(x);
// p = 1
tt = -t;
h = x * tt;
*p++ += std::complex(- h.imag(), h.real());
// p = 2
tt *= t*(1.0/2.0);
*p++ += x*tt;
// p = 3
tt *= t*(-1.0/3.0);
h = x * tt;
*p++ += std::complex(-h.imag(),h.real());
// p = 4
tt *= t*(1.0/4.0);
*p++ += x*tt;
// p = 5
tt *= t*(-1.0/5.0);
h = x * tt;
*p++ += std::complex(-h.imag(),h.real());
// p = 6
tt *= t*(1.0/6.0);
*p++ += x*tt;
// p = 7
tt *= t*(-1.0/7.0);
h = x * tt;
*p++ += std::complex(-h.imag(),h.real());
// p = 8
tt *= t*(1.0/8.0);
*p++ += x*tt;
// p = 9
tt *= t*(-1.0/9.0);
h = x * tt;
*p++ += std::complex(-h.imag(),h.real());
// p = 10
tt *= t*(1.0/10.0);
*p++ += x*tt;
// p = 11
tt *= t*(-1.0/11.0);
h = x * tt;
*p++ += std::complex(-h.imag(),h.real());
}
record_current->stored_data = true;
}
if (k >= n)
break;
tau_h = te + delta_tau;
te = tau_h + delta_tau;
record_current->next = new Precomputation_Record;
record_current = record_current->next;
}
record_tail = record_current;
record_current = precomp_records_head;
record_tail->next = 0;
/* Summation of coefficients for each frequency. As we have ncoeffs * noctaves elements,
* it makes sense to work from the top down, as we have omega_max by default (maxfreq)
*/
omega_oct = maxfreq / mu;
omega_multiplier = exp (-log(2) / coefficients);
octavemax = maxfreq;
loop_tau_0 = tau_0;
loop_delta_tau = delta_tau;
octave_idx_type iter = 0;
// Loops need to first travel over octaves, then coefficients;
for (octave_iter = octaves; ;
omega_oct *= 0.5, octavemax *= 0.5, loop_tau_0 += loop_delta_tau, loop_delta_tau *= 2)
{
o = omega_oct;
omega_working = octavemax;
for (coeff_iter = 0;
coeff_iter < coefficients;
coeff_iter++, o *= omega_multiplier,
omega_working *= omega_multiplier)
{
exp_term = std::complex (cos (- omega_working * loop_tau_0),
sin (- omega_working * loop_tau_0));
exp_multiplier = std::complex (cos (- 2 * omega_working * loop_delta_tau) ,
sin (- 2 * omega_working * loop_delta_tau));
for (zeta = 0, record_current = precomp_records_head;
record_current;
record_current = record_current->next, exp_term *= exp_multiplier )
{
if (record_current->stored_data)
{
int p;
for (zz = 0, p = 0, on_1 = n_1; p < 12; p++)
{
zz += record_current->power_series[p] * on_1;
on_1 *= o;
}
zeta += exp_term * zz;
}
}
results(iter) = std::complex (zeta);
iter++;
}
if (! (--octave_iter))
break;
/* If we've already reached the lowest value, stop.
* Otherwise, merge with the next computation range.
*/
double *exp_pse_ptr, *exp_ptr, exp_power_series_elements[12];
{
double t = mu * loop_delta_tau, tt;
exp_ptr = exp_power_series_elements;
*exp_ptr++ = 1;
*exp_ptr++ = t;
tt = t * t * ( 1.0 / 2.0 );
*exp_ptr++ = tt;
tt *= t * ( 1.0 / 3.0 );
*exp_ptr++ = tt;
tt *= t * ( 1.0 / 4.0 );
*exp_ptr++ = tt;
tt *= t * ( 1.0 / 5.0 );
*exp_ptr++ = tt;
tt *= t * ( 1.0 / 6.0 );
*exp_ptr++ = tt;
tt *= t * ( 1.0 / 7.0 );
*exp_ptr++ = tt;
tt *= t * ( 1.0 / 8.0 );
*exp_ptr++ = tt;
tt *= t * ( 1.0 / 9.0 );
*exp_ptr++ = tt;
tt *= t * ( 1.0 / 10.0 );
*exp_ptr++ = tt;
tt *= t * ( 1.0 / 11.0 );
*exp_ptr++ = tt;
}
exp_pse_ptr = exp_ptr = exp_power_series_elements;
try
{
for (record_current = precomp_records_head;
record_current;
record_current = record_current->next)
{
if (! (record_ref = record_current->next )
|| ! record_ref->stored_data )
{
// In this case, there is no next record, but this record has data.
if (record_current->stored_data)
{
int p = 0;
for (exp_pse_ptr = exp_power_series_elements + 1, temp_ptr_alpha = temp_alpha;
p < 12;
p++ , exp_pse_ptr++)
{
tpra = temp_ptr_alpha;
*(temp_ptr_alpha++) = std::complex(record_current->power_series[p]);
for( exp_ptr = exp_power_series_elements, record_current->power_series[p] = *temp_ptr_alpha * *exp_ptr; ; ) {
/* This next block is from Mathias' code, and it does a few
* ... unsavoury things. First off, it uses conditionals with
* break in order to avoid potentially accessing null regions
* of memory, and then it does ... painful things with a few
* numbers. However, remembering that most of these will not
* actually be accessed for the first iterations, it's easier.
*/
if (++exp_ptr >= exp_pse_ptr)
break;
--tpra;
h = *tpra * *exp_ptr;
record_current->power_series[p].real (
record_current->power_series[p].real() - h.imag());
record_current->power_series[p].imag (
record_current->power_series[p].imag() + h.real());
if (++exp_ptr >= exp_pse_ptr )
break;
--tpra;
record_current->power_series[p] -= *tpra * *exp_ptr;
if (++exp_ptr >= exp_pse_ptr)
break;
--tpra;
h = -*tpra * *exp_ptr;
record_current->power_series[p].real (
record_current->power_series[p].real() - h.imag());
record_current->power_series[p].imag (
record_current->power_series[p].imag() + h.real());
if (++exp_ptr >= exp_pse_ptr)
break;
--tpra;
record_current->power_series[p] += *tpra * *exp_ptr;
}
}
if ( ! record_ref )
break; // Last record was reached
}
else
{
record_next = record_ref;
if ( record_current->stored_data )
{
int p = 0, q = 0;
for (exp_pse_ptr = exp_power_series_elements + 1, temp_ptr_alpha = temp_alpha, temp_ptr_beta = temp_beta;
p < 12; p++, q++, exp_pse_ptr++)
{
tpra = temp_ptr_alpha;
*temp_ptr_alpha++ = record_current->power_series[p] + record_next->power_series[q];
*temp_ptr_beta++ = record_current->power_series[p] - record_next->power_series[q];
tprb = temp_ptr_beta;
for (exp_ptr = exp_power_series_elements, record_current->power_series[p] = *tpra * *exp_ptr; ;)
{
if (++exp_ptr >= exp_pse_ptr )
break;
tprb -= 2;
h = *tprb * *exp_ptr;
record_current->power_series[p].real (
record_current->power_series[p].real() - h.imag());
record_current->power_series[p].imag (
record_current->power_series[p].imag() + h.real());
if ( ++exp_ptr >= exp_pse_ptr )
break;
tpra -= 2;
record_current->power_series[p] -= *tpra * *exp_ptr;
if (++exp_ptr >= exp_pse_ptr)
break;
tprb -= 2;
h = - *tprb * *exp_ptr;
record_current->power_series[p].real (
record_current->power_series[p].real() - h.imag());
record_current->power_series[p].imag (
record_current->power_series[p].imag() + h.real());
if (++exp_ptr >= exp_pse_ptr)
break;
tpra -= 2;
record_current->power_series[p] += *tpra * *exp_ptr;
}
}
}
else
{
int q = 0;
for (exp_pse_ptr = exp_power_series_elements + 1,
temp_ptr_alpha = temp_alpha,
temp_ptr_beta = temp_beta;
q < 12;
q++, exp_pse_ptr++)
{
tpra = temp_ptr_alpha;
*temp_ptr_alpha++ = std::complex(record_next->power_series[q]);
for (exp_ptr = exp_power_series_elements,
record_next->power_series[q] = *tpra * *exp_ptr; ;)
{
if (++exp_ptr >= exp_pse_ptr)
break;
--tpra;
h = *tpra * *exp_ptr;
record_next->power_series[q].real (
record_next->power_series[q].real() - h.imag());
record_next->power_series[q].imag (
record_next->power_series[q].imag() + h.real());
if (++exp_ptr >= exp_pse_ptr)
break;
--tpra;
record_next->power_series[q] -= *tpra * *exp_ptr;
if ( ++exp_ptr >= exp_pse_ptr )
break;
--tpra;
h = -*tpra * *exp_ptr;
record_next->power_series[q].real (
record_next->power_series[q].real() - h.imag());
record_next->power_series[q].imag (
record_next->power_series[q].imag() + h.real());
if (++exp_ptr >= exp_pse_ptr)
break;
--tpra;
record_next->power_series[q] += *tpra * *exp_ptr;
}
}
}
record_current->stored_data = true;
record_ref = record_next;
record_current->next = record_ref->next;
delete record_ref;
}
}
}
}
catch (std::exception & e)
{//This section was part of my debugging, and may be removed.
std::cout << "Exception thrown: " << e.what() << std::endl;
return (false);
}
}
return true;
}
/*
%!xtest <48905>
%! maxfreq = 4 / ( 2 * pi );
%! t = [0:0.008:8];
%! x = ( 2 .* sin (maxfreq .* t) +
%! 3 .* sin ( (3 / 4) * maxfreq .* t)-
%! 0.5 .* sin ((1/4) * maxfreq .* t) -
%! 0.2 .* cos (maxfreq .* t) +
%! cos ((1/4) * maxfreq .* t));
%! assert (fastlscomplex (t, x, maxfreq, 2, 2),
%! [(-0.400924546169395 - 2.371555305867469i), ...
%! (1.218065147708429 - 2.256125004156890i), ...
%! (1.935428592212907 - 1.539488163739336i), ...
%! (2.136692292751917 - 0.980532175174563i)], 5e-10);
*/
lssa-0.1.4/src/fastlsreal.cc 0000644 0000000 0000000 00000037200 13743165726 014122 0 ustar 00 0000000 0000000 /* Copyright (C) 2012 Benjamin Lewis
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation; either version 3 of the License, or
* (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License along
* with this program; if not, write to the Free Software Foundation, Inc.,
* 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
*/
#include
#include
#include
#include
#include
#include
#include
ComplexRowVector flsreal( RowVector tvec , ComplexRowVector xvec ,
double maxfreq , int octaves , int coefficients);
DEFUN_DLD(fastlsreal,args,nargout,
"-*- texinfo -*-\n\
@deftypefn {Function File} { C = } fastlsreal(@var{time},@var{magnitude},@var{maximum_frequency},@var{octaves},@var{coefficients})\n\
\n\
Return the real least-sqaures spectral fit to the (@var{time},@var{magnitude})\n\
data supplied, using the fast algorithm.\n\
\n\
@seealso{lsreal, fastlscomplex}\n\
@end deftypefn") {
if ( args.length() != 5 ) {
print_usage();
return octave_value_list ();
}
RowVector tvals = args(0).row_vector_value();
ComplexRowVector xvals = args(1).complex_row_vector_value();
double omegamax = args(2).double_value();
int noctaves = args(3).int_value();
int ncoeff = args(4).int_value();
if ( tvals.numel() != xvals.numel() ){
if ( tvals.numel() > xvals.numel() ) {
error("More time values than magnitude values.");
} else {
error("More magnitude values than time values.");
}
}
if ( ncoeff == 0 ) error("No coefficients to compute.");
if ( noctaves == 0 ) error("No octaves to compute over.");
if ( omegamax == 0 ) error("No difference between minimal and maximal frequency.");
octave_value_list retval;
if ( !error_state) {
ComplexRowVector results = flsreal(tvals,xvals,omegamax,noctaves,ncoeff);
retval(0) = octave_value(results);
} else {
return octave_value_list ();
}
return retval;
}
ComplexRowVector flsreal( RowVector tvec , RowVector xvec ,
double maxfreq, int octaves, int coefficients ) {
struct XTElem {
double x, t;
};
struct Precomputation_Record {
Precomputation_Record *next;
XTElem power_series[12]; // I'm using 12 as a matter of compatibility, only.
bool stored_data;
};
ComplexRowVector results = ComplexRowVector (coefficients * octaves );
double tau, delta_tau, tau_0, tau_h, n_inv, mu,
omega_oct, omega_multiplier, octavemax, omega_working,
loop_tau_0, loop_delta_tau, x;
double length = ( tvec((tvec.numel()-1)) - tvec( octave_idx_type (0)));
int octave_iter, coeff_iter;
std::complex zeta, z_accumulator, zeta_exp_term, zeta_exp_multiplier, alpha,
iota, i_accumulator, iota_exp_term, iota_exp_multiplier, exp_squared, exp_squared_multiplier;
octave_idx_type n = tvec.numel();
XTElem *tpra, *temp_ptr_alpha, temp_alpha[12], *tprb, *temp_ptr_beta, temp_beta[12], temp_array[12];
int factorial_array[12];
factorial_array[0] = 1;
for ( int i = 1 ; i < 12 ; i++ ) {
factorial_array[i] = factorial_array[i-1] * i;
}
n_inv = 1.0 / n;
mu = (0.5 * M_PI)/length; // Per the article; this is in place to improve numerical accuracy if desired.
/* Viz. the paper, in which Dtau = c / omega_max, and c is stated as pi/2 for floating point processors,
* In the case of this computation, I'll go by the recommendation.
*/
delta_tau = M_PI / ( 2 * maxfreq );
tau_0 = tvec(0) + delta_tau;
tau_h = tau_0;
size_t precomp_subset_count = (size_t) ceil( ( tvec(tvec.numel()-1) - tvec(0) ) / ( 2 * delta_tau ) );
// I've used size_t because it will work for my purposes without threatening undefined behaviour.
const std::complex im = std::complex ( 0 , 1 ); //I seriously prefer C99's complex numbers.
octave_idx_type k ( 0 ); // Iterator for accessing xvec, tvec.
Precomputation_Record * precomp_records_head, *record_current, *record_tail, *record_ref, *record_next;
record_current = precomp_records_head = new Precomputation_Record;
for ( te = tvec(k) + (2 * delta_tau) ; ; ) {
x = xvec(k);
{
double t = mu*(tvec(k)-tau_h), tt;
p = record_current->power_series;
// p = 0
p->x = x;
(p++)->t = 1;
// p = 1
tt = -t;
p->x = x * tt;
(p++)->t = tt;
// p = 2
tt *= t*(1.0/2.0);
p->x = x*tt;
(p++)->t = tt;
// p = 3
tt *= t*(-1.0/3.0);
p->x = x * tt;
(p++)->t = tt;
// p = 4
tt *= t*(1.0/4.0);
p->x = x * tt;
(p++)->t = tt;
// p = 5
tt *= t*(-1.0/5.0);
p->x = x * tt;
(p++)->t = tt;
// p = 6
tt *= t*(1.0/6.0);
p->x = x * tt;
(p++)->t = tt;
// p = 7
tt *= t*(-1.0/7.0);
p->x = x * tt;
(p++)->t = tt;
// p = 8
tt *= t*(1.0/8.0);
p->x = x * tt;
(p++)->t = tt;
// p = 9
tt *= t*(-1.0/9.0);
p->x = x * tt;
(p++)->t = tt;
// p = 10
tt *= t*(1.0/10.0);
p->x = x * tt;
(p++)->t = tt;
// p = 11
tt *= t*(-1.0/11.0);
p->x = x * tt;
(p++)->t = tt;
}
record_current->stored_data = true;
for(k++; ( k < n ) && tvec(k) < te ; k++ ) {
x = xvec(k);
{
double t = mu*(tvec(k)-tau_h), tt;
p = record_current->power_series;
// p = 0
p->x += x;
(p++)->t += 1;
// p = 1
tt = -t;
p->x += x * tt;
(p++)->t += tt;
// p = 2
tt *= t*(1.0/2.0);
p->x += x * tt;
(p++)->t += tt;
// p = 3
tt *= t*(-1.0/3.0);
p->x += x * tt;
(p++)->t += tt;
// p = 4
tt *= t*(1.0/4.0);
p->x += x * tt;
(p++)->t += tt;
// p = 5
tt *= t*(-1.0/5.0);
p->x += x * tt;
(p++)->t += tt;
// p = 6
tt *= t*(1.0/6.0);
p->x += x * tt;
(p++)->t += tt;
// p = 7
tt *= t*(-1.0/7.0);
p->x += x * tt;
(p++)->t += tt;
// p = 8
tt *= t*(1.0/8.0);
p->x += x * tt;
(p++)->t += tt;
// p = 9
tt *= t*(-1.0/9.0);
p->x += x * tt;
(p++)->t += tt;
// p = 10
tt *= t*(1.0/10.0);
p->x += x * tt;
(p++)->t += tt;
// p = 11
tt *= t*(-1.0/11.0);
p->x += x * tt;
(p++)->t += tt;
}
record_current->stored_data = true;
}
if( k >= n ) break;
tau_h = te + delta_tau;
te = tau_h + delta_tau;
record_current->next = new Precomputation_Record;
record_current = record_current->next;
}
record_tail = record_current;
record_current = precomp_records_head;
record_tail->next = 0;
/* Summation of coefficients for each frequency. As we have ncoeffs * noctaves elements,
* it makes sense to work from the top down, as we have omega_max by default (maxfreq)
*/
omega_oct = maxfreq / mu;
omega_multiplier = exp(-log(2)/coefficients);
octavemax = maxfreq;
loop_tau_0 = tau_0;
loop_delta_tau = delta_tau;
octave_idx_type iter ( 0 );
// Loops need to first travel over octaves, then coefficients;
for ( octave_iter = octaves ; ; omega_oct *= 0.5 , octavemax *= 0.5 , loop_tau_0 += loop_delta_tau , loop_delta_tau *= 2 ) {
o = omega_oct;
omega_working = octavemax;
for ( coeff_iter = 0 ; coeff_iter < coefficients ; coeff_iter++, o *= omega_multiplier, omega_working *= omega_multiplier){
exp_term = std::complex ( cos( - omega_working * loop_tau_0 ) ,
sin ( - omega_working * loop_tau_0 ) );
exp_squared = exp_term * exp_term;
exp_multiplier = std::complex ( cos ( - 2 * omega_working * loop_delta_tau ) ,
sin ( - 2 * omega_working * loop_delta_tau ) );
exp_squared_multiplier = exp_multiplier * exp_multiplier;
for ( zeta = iota = 0, record_current = precomp_records_head ; record_current ;
record_current = record_current->next, exp_term *= exp_multiplier,
exp_squared *= exp_squared_multiplier ) {
if ( record_current->stored_data ) {
int p;
for ( zz = ii = 0 , p = 0, on_1 = n_1 ; p < 12 ; ) {
zz.real() += record_current->power_series[p]->x * on_1;
ii.real() += record_current->power_series[p++]-> t * o2n_1;
on_1 *= o;
o2n_1 *= o2;
zz.imag() += record_current->power_series[p]->x * on_1;
ii.imag() += record_current->power_series[p++]-> t * o2n_1;
on_1 *= o;
o2n_1 *= o2;
}
zeta += exp_term * zz;
iota += exp_squared * ii;
}
}
results(iter) = 2 / ( 1 - ( iota.real() * iota.real() ) - (iota.imag() *
iota.imag() )
* ( conj(zeta) - conj(iota) * zeta );
iter++;
}
if ( !(--octave_iter) ) break;
/* If we've already reached the lowest value, stop.
* Otherwise, merge with the next computation range.
*/
double *exp_pse_ptr, *exp_ptr, exp_power_series_elements[12];
exp_power_series_elements[0] = 1;
exp_pse_ptr = exp_ptr = exp_power_series_elements;
for ( int r_iter = 1 ; r_iter < 12 ; r_iter++ ) {
exp_power_series_elements[r_iter] = exp_power_series_elements[r_iter-1]
* ( mu * loop_delta_tau) * ( 1.0 / ( (double) r_iter ) );
}
try{
for ( record_current = precomp_records_head ; record_current ;
record_current = record_current->next ) {
if ( ! ( record_ref = record_current->next ) || ! record_ref->stored_data ) {
// In this case, there is no next record, but this record has data.
if ( record_current->stored_data ) {
int p = 0;
for( exp_pse_ptr = exp_power_series_elements , temp_ptr_alpha = temp_alpha ; ; ) {
tpra = temp_ptr_alpha;
temp_ptr_alpha->x = record_current->power_series[p]->x;
(temp_ptr_alpha++)->t = record_current->power_series[p]->t;
temp_ptr_beta->x = -record_current->power_series[p]->x;
(temp_ptr_beta++)->t = -record_current->power_series[p]->t;
for( exp_ptr = exp_pse_ptr++, record_current->power_series[p]->x = tpra->x * *exp_ptr, record_current->power_series[p]->t = tpra->t * *exp_ptr ; ; ) {
/* This next block is from Mathias' code, and it does a few
* ... unsavoury things. First off, it uses conditionals with
* break in order to avoid potentially accessing null regions
* of memory, and then it does ... painful things with a few
* numbers. However, remembering that most of these will not
* actually be accessed for the first iterations, it's easier.
*/
if ( --exp_ptr < exp_power_series_elements ) break;
++tpra;
record_current->power_series[p]->x -= tpra->x * *exp_ptr;
record_current->power_series[p]->t -= tpra->t * *exp_ptr;
if ( --exp_ptr < exp_power_series_elements ) break;
++tpra;
record_current->power_series[p]->x += tpra->x * *exp_ptr;
record_current->power_series[p]->t += tpra->x * *exp_ptr;
}
if ( ++p >= 12 ) break;
temp_ptr_alpha->x = -record_current->power_series[p]->x;
(temp_ptr_alpha++)->t = -record_current->power_series[p]->t;
temp_ptr_beta->x = record_current->power_series[p]->x;
(temp_ptr_beta++)->t = record_current->power_series[p]->t;
for( tprb = temp_beta, exp_ptr = exp_pse_ptr++, record_current->power_series[p]->t = tprb->t * *exp_ptr; exp_ptr > exp_power_series_elements ; ) {
++tprb;
--exp_ptr;
record_current->power_series[p]->t += tprb->t * *exp_ptr;
}
if ( ++p >= 12 ) break;
}
}
if ( ! record_ref ) break; // Last record was reached
}
else {
record_next = record_ref;
if ( record_current->stored_data ) {
int p = 0;
for( exp_pse_ptr = exp_power_series_elements, temp_ptr_alpha = temp_alpha, temp_ptr_beta = temp_beta; ; ) {
temp_ptr_alpha->x = record_current->power_series[p]->x + record_next->power_series[p]->x;
(temp_ptr_alpha++)->t = record_current->power_series[p]->t + record_next->power_series[p]->t;
temp_ptr_beta->x = record_ref->power_series[p]->x - record_current->power_series[p]->x;
(temp_ptr_beta++)->t = record_ref->power_series[p]->t - record_current->power_series[p]->t;
for( tpra = temp_alpha, exp_ptr = exp_pse_ptr++, record_current->power_series[p]->x = tpra->x * *exp_ptr, record_current->power_series[p]->t = tpra->x * *exp_ptr; ; ) {
if ( --exp_ptr < exp_pse_ptr ) break;
++tpra;
record_current->power_series[p]->x -= tpra->x * *exp_ptr;
record_current->power_series[p]->t -= tpra->t * *exp_ptr;
if ( --exp_ptr < exp_pse_ptr ) break;
++tpra;
record_current->power_series[p]->x += tpra->x * *exp_ptr;
record_current->power_series[p]->t += tpra->t * *exp_ptr;
}
if ( ++p >= 12 ) break;
temp_ptr_alpha->x = record_next->power_series[p]->x - record_current->power_series[p]->x;
(temp_ptr_alpha++)->t = record_next->power_series[p]->t - record_current->power_series[p]->t;
temp_ptr_beta->x = record_current->power_series[p]->x + record_next->power_series[p]->x;
(temp_ptr_beta++)->t = record_current->power_series[p]->t + record_next->power_series[p]->t;
for(tprb = temp_beta, exp_ptr = exp_pse_ptr++, record_current->power_series[p]->x = tprb->x * *exp_ptr, record_current->power_series[p]->t = tprb->x * *exp_ptr; exp_ptr > exp_power_series_elements; ) {
++tprb;
--exp_ptr;
record_current->power_series[p]->x += tprb->x * *exp_ptr;
record_current->power_series[p]->t += tprb->t * *exp_ptr;
}
if ( ++p >= 12 ) break;
}
} else {
int q = 0;
for( exp_pse_ptr = exp_power_series_elements, temp_ptr_alpha = temp_alpha, temp_ptr_beta = temp_beta; ; ) {
temp_ptr_alpha->x = record_next->power_series[q]->x;
temp_ptr_alpha->t = record_next->power_series[q]->t;
for(tpra = temp_alpha, exp_ptr = exp_pse_ptr++, record_next->power_series[q]->x = tpra->x * *exp_ptr, record_next->power_series[q]->t = tpra->t * *exp_ptr; exp_ptr > exp_power_series_elements; ) {
++tpra;
--exp_ptr;
record_next->power_series[q]->x += tpra->x * *exp_ptr;
record_next->power_series[q]->t += tpra->t * *exp_ptr;
}
if ( ++q >= 12 ) break;
}
record_current->stored_data = true;
record_ref = record_next;
record_current->next = record_ref->next;
record_next = 0;
delete record_ref;
}
}
}
return results;
}