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v1.3.1
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v2.1.0.pos
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65
.github/workflows/python-test-and-build.yml
vendored
Normal file
65
.github/workflows/python-test-and-build.yml
vendored
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@@ -0,0 +1,65 @@
|
|||||||
|
# This workflow will install Python dependencies, run tests and lint with a single version of Python
|
||||||
|
# For more information see: https://docs.github.com/en/actions/automating-builds-and-tests/building-and-testing-python
|
||||||
|
|
||||||
|
name: Python application
|
||||||
|
|
||||||
|
on:
|
||||||
|
push
|
||||||
|
|
||||||
|
permissions:
|
||||||
|
contents: read
|
||||||
|
|
||||||
|
jobs:
|
||||||
|
|
||||||
|
test:
|
||||||
|
runs-on: ubuntu-latest
|
||||||
|
steps:
|
||||||
|
- uses: actions/checkout@v3
|
||||||
|
with:
|
||||||
|
fetch-depth: 0
|
||||||
|
- name: Install poetry
|
||||||
|
run: pipx install poetry
|
||||||
|
|
||||||
|
- name: Set up Python 3.10
|
||||||
|
uses: actions/setup-python@v3
|
||||||
|
with:
|
||||||
|
python-version: "3.10"
|
||||||
|
- name: Install dependencies
|
||||||
|
run: |
|
||||||
|
poetry self add "poetry-dynamic-versioning[plugin]"
|
||||||
|
if [ -f pyproject.toml ]; then poetry install; fi
|
||||||
|
- name: Run unittest
|
||||||
|
run: |
|
||||||
|
poetry run python -m unittest
|
||||||
|
|
||||||
|
pypi-upload:
|
||||||
|
needs: [test]
|
||||||
|
if: startsWith(github.ref, 'refs/tags/v')
|
||||||
|
runs-on: ubuntu-latest
|
||||||
|
steps:
|
||||||
|
- uses: actions/checkout@v3
|
||||||
|
with:
|
||||||
|
fetch-depth: 0
|
||||||
|
- name: Install poetry
|
||||||
|
run: pipx install poetry
|
||||||
|
|
||||||
|
- name: Set up Python 3.10
|
||||||
|
uses: actions/setup-python@v3
|
||||||
|
with:
|
||||||
|
python-version: "3.10"
|
||||||
|
- name: Install dependencies
|
||||||
|
run: |
|
||||||
|
poetry self add "poetry-dynamic-versioning[plugin]"
|
||||||
|
if [ -f pyproject.toml ]; then poetry install; fi
|
||||||
|
- name: Build Python Package
|
||||||
|
run: |
|
||||||
|
poetry build -f sdist
|
||||||
|
poetry install
|
||||||
|
echo "Builded yoshi-seals - $(poetry version)"
|
||||||
|
- name: Configure PyPI
|
||||||
|
run: |
|
||||||
|
poetry config repositories.pypi https://upload.pypi.org/legacy/
|
||||||
|
poetry config pypi-token.pypi ${{secrets.PYPI_TOKEN}}
|
||||||
|
- name: Upload Python Package
|
||||||
|
run: |
|
||||||
|
poetry publish --repository pypi
|
||||||
59
.gitignore
vendored
Normal file
59
.gitignore
vendored
Normal file
@@ -0,0 +1,59 @@
|
|||||||
|
# Byte-compiled / optimized / DLL files
|
||||||
|
__pycache__/
|
||||||
|
*.py[cod]
|
||||||
|
|
||||||
|
# C extensions
|
||||||
|
*.c
|
||||||
|
*.so
|
||||||
|
|
||||||
|
# Environment variables
|
||||||
|
.env
|
||||||
|
.secret
|
||||||
|
|
||||||
|
# Distribution / packaging
|
||||||
|
bin/
|
||||||
|
build/
|
||||||
|
develop-eggs/
|
||||||
|
dist/
|
||||||
|
eggs/
|
||||||
|
lib/
|
||||||
|
lib64/
|
||||||
|
parts/
|
||||||
|
sdist/
|
||||||
|
var/
|
||||||
|
*.egg-info/
|
||||||
|
.installed.cfg
|
||||||
|
*.egg
|
||||||
|
|
||||||
|
# Installer logs
|
||||||
|
pip-log.txt
|
||||||
|
pip-delete-this-directory.txt
|
||||||
|
|
||||||
|
# Unit test / coverage reports
|
||||||
|
.tox/
|
||||||
|
.coverage
|
||||||
|
.cache
|
||||||
|
nosetests.xml
|
||||||
|
coverage.xml
|
||||||
|
|
||||||
|
# Translations
|
||||||
|
*.mo
|
||||||
|
|
||||||
|
# Mr Developer
|
||||||
|
.mr.developer.cfg
|
||||||
|
.project
|
||||||
|
.pydevproject
|
||||||
|
|
||||||
|
# Rope
|
||||||
|
.ropeproject
|
||||||
|
|
||||||
|
# Django stuff:
|
||||||
|
*.log
|
||||||
|
*.pot
|
||||||
|
|
||||||
|
# Sphinx documentation
|
||||||
|
docs/_build/
|
||||||
|
|
||||||
|
# IDE
|
||||||
|
.idea/
|
||||||
|
.vscode/
|
||||||
Binary file not shown.
@@ -1,278 +0,0 @@
|
|||||||
GNU GENERAL PUBLIC LICENSE
|
|
||||||
Version 2, June 1991
|
|
||||||
|
|
||||||
Copyright (C) 1989, 1991 Free Software Foundation, Inc.,
|
|
||||||
51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
|
|
||||||
Everyone is permitted to copy and distribute verbatim copies
|
|
||||||
of this license document, but changing it is not allowed.
|
|
||||||
|
|
||||||
Preamble
|
|
||||||
|
|
||||||
The licenses for most software are designed to take away your
|
|
||||||
freedom to share and change it. By contrast, the GNU General Public
|
|
||||||
License is intended to guarantee your freedom to share and change free
|
|
||||||
software--to make sure the software is free for all its users. This
|
|
||||||
General Public License applies to most of the Free Software
|
|
||||||
Foundation's software and to any other program whose authors commit to
|
|
||||||
using it. (Some other Free Software Foundation software is covered by
|
|
||||||
the GNU Lesser General Public License instead.) You can apply it to
|
|
||||||
your programs, too.
|
|
||||||
|
|
||||||
When we speak of free software, we are referring to freedom, not
|
|
||||||
price. Our General Public Licenses are designed to make sure that you
|
|
||||||
have the freedom to distribute copies of free software (and charge for
|
|
||||||
this service if you wish), that you receive source code or can get it
|
|
||||||
if you want it, that you can change the software or use pieces of it
|
|
||||||
in new free programs; and that you know you can do these things.
|
|
||||||
|
|
||||||
To protect your rights, we need to make restrictions that forbid
|
|
||||||
anyone to deny you these rights or to ask you to surrender the rights.
|
|
||||||
These restrictions translate to certain responsibilities for you if you
|
|
||||||
distribute copies of the software, or if you modify it.
|
|
||||||
|
|
||||||
For example, if you distribute copies of such a program, whether
|
|
||||||
gratis or for a fee, you must give the recipients all the rights that
|
|
||||||
you have. 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.
|
|
||||||
|
|
||||||
We protect your rights with two steps: (1) copyright the software, and
|
|
||||||
(2) offer you this license which gives you legal permission to copy,
|
|
||||||
distribute and/or modify the software.
|
|
||||||
|
|
||||||
Also, for each author's protection and ours, we want to make certain
|
|
||||||
that everyone understands that there is no warranty for this free
|
|
||||||
software. If the software is modified by someone else and passed on, we
|
|
||||||
want its recipients to know that what they have is not the original, so
|
|
||||||
that any problems introduced by others will not reflect on the original
|
|
||||||
authors' reputations.
|
|
||||||
|
|
||||||
Finally, any free program is threatened constantly by software
|
|
||||||
patents. We wish to avoid the danger that redistributors of a free
|
|
||||||
program will individually obtain patent licenses, in effect making the
|
|
||||||
program proprietary. To prevent this, we have made it clear that any
|
|
||||||
patent must be licensed for everyone's free use or not licensed at all.
|
|
||||||
|
|
||||||
The precise terms and conditions for copying, distribution and
|
|
||||||
modification follow.
|
|
||||||
|
|
||||||
GNU GENERAL PUBLIC LICENSE
|
|
||||||
TERMS AND CONDITIONS FOR COPYING, DISTRIBUTION AND MODIFICATION
|
|
||||||
|
|
||||||
0. This License applies to any program or other work which contains
|
|
||||||
a notice placed by the copyright holder saying it may be distributed
|
|
||||||
under the terms of this General Public License. The "Program", below,
|
|
||||||
refers to any such program or work, and a "work based on the Program"
|
|
||||||
means either the Program or any derivative work under copyright law:
|
|
||||||
that is to say, a work containing the Program or a portion of it,
|
|
||||||
either verbatim or with modifications and/or translated into another
|
|
||||||
language. (Hereinafter, translation is included without limitation in
|
|
||||||
the term "modification".) Each licensee is addressed as "you".
|
|
||||||
|
|
||||||
Activities other than copying, distribution and modification are not
|
|
||||||
covered by this License; they are outside its scope. The act of
|
|
||||||
running the Program is not restricted, and the output from the Program
|
|
||||||
is covered only if its contents constitute a work based on the
|
|
||||||
Program (independent of having been made by running the Program).
|
|
||||||
Whether that is true depends on what the Program does.
|
|
||||||
|
|
||||||
1. You may copy and distribute verbatim copies of the Program's
|
|
||||||
source code as you receive it, in any medium, provided that you
|
|
||||||
conspicuously and appropriately publish on each copy an appropriate
|
|
||||||
copyright notice and disclaimer of warranty; keep intact all the
|
|
||||||
notices that refer to this License and to the absence of any warranty;
|
|
||||||
and give any other recipients of the Program a copy of this License
|
|
||||||
along with the Program.
|
|
||||||
|
|
||||||
You may charge a fee for the physical act of transferring a copy, and
|
|
||||||
you may at your option offer warranty protection in exchange for a fee.
|
|
||||||
|
|
||||||
2. You may modify your copy or copies of the Program or any portion
|
|
||||||
of it, thus forming a work based on the Program, and copy and
|
|
||||||
distribute such modifications or work under the terms of Section 1
|
|
||||||
above, provided that you also meet all of these conditions:
|
|
||||||
|
|
||||||
a) You must cause the modified files to carry prominent notices
|
|
||||||
stating that you changed the files and the date of any change.
|
|
||||||
|
|
||||||
b) You must cause any work that you distribute or publish, that in
|
|
||||||
whole or in part contains or is derived from the Program or any
|
|
||||||
part thereof, to be licensed as a whole at no charge to all third
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|
||||||
parties under the terms of this License.
|
|
||||||
|
|
||||||
c) If the modified program normally reads commands interactively
|
|
||||||
when run, you must cause it, when started running for such
|
|
||||||
interactive use in the most ordinary way, to print or display an
|
|
||||||
announcement including an appropriate copyright notice and a
|
|
||||||
notice that there is no warranty (or else, saying that you provide
|
|
||||||
a warranty) and that users may redistribute the program under
|
|
||||||
these conditions, and telling the user how to view a copy of this
|
|
||||||
License. (Exception: if the Program itself is interactive but
|
|
||||||
does not normally print such an announcement, your work based on
|
|
||||||
the Program is not required to print an announcement.)
|
|
||||||
|
|
||||||
These requirements apply to the modified work as a whole. If
|
|
||||||
identifiable sections of that work are not derived from the Program,
|
|
||||||
and can be reasonably considered independent and separate works in
|
|
||||||
themselves, then this License, and its terms, do not apply to those
|
|
||||||
sections when you distribute them as separate works. But when you
|
|
||||||
distribute the same sections as part of a whole which is a work based
|
|
||||||
on the Program, the distribution of the whole must be on the terms of
|
|
||||||
this License, whose permissions for other licensees extend to the
|
|
||||||
entire whole, and thus to each and every part regardless of who wrote it.
|
|
||||||
|
|
||||||
Thus, it is not the intent of this section to claim rights or contest
|
|
||||||
your rights to work written entirely by you; rather, the intent is to
|
|
||||||
exercise the right to control the distribution of derivative or
|
|
||||||
collective works based on the Program.
|
|
||||||
|
|
||||||
In addition, mere aggregation of another work not based on the Program
|
|
||||||
with the Program (or with a work based on the Program) on a volume of
|
|
||||||
a storage or distribution medium does not bring the other work under
|
|
||||||
the scope of this License.
|
|
||||||
|
|
||||||
3. You may copy and distribute the Program (or a work based on it,
|
|
||||||
under Section 2) in object code or executable form under the terms of
|
|
||||||
Sections 1 and 2 above provided that you also do one of the following:
|
|
||||||
|
|
||||||
a) Accompany it with the complete corresponding machine-readable
|
|
||||||
source code, which must be distributed under the terms of Sections
|
|
||||||
1 and 2 above on a medium customarily used for software interchange; or,
|
|
||||||
|
|
||||||
b) Accompany it with a written offer, valid for at least three
|
|
||||||
years, to give any third party, for a charge no more than your
|
|
||||||
cost of physically performing source distribution, a complete
|
|
||||||
machine-readable copy of the corresponding source code, to be
|
|
||||||
distributed under the terms of Sections 1 and 2 above on a medium
|
|
||||||
customarily used for software interchange; or,
|
|
||||||
|
|
||||||
c) Accompany it with the information you received as to the offer
|
|
||||||
to distribute corresponding source code. (This alternative is
|
|
||||||
allowed only for noncommercial distribution and only if you
|
|
||||||
received the program in object code or executable form with such
|
|
||||||
an offer, in accord with Subsection b above.)
|
|
||||||
|
|
||||||
The source code for a work means the preferred form of the work for
|
|
||||||
making modifications to it. For an executable work, complete source
|
|
||||||
code means all the source code for all modules it contains, plus any
|
|
||||||
associated interface definition files, plus the scripts used to
|
|
||||||
control compilation and installation of the executable. However, as a
|
|
||||||
special exception, the source code distributed need not include
|
|
||||||
anything that is normally distributed (in either source or binary
|
|
||||||
form) with the major components (compiler, kernel, and so on) of the
|
|
||||||
operating system on which the executable runs, unless that component
|
|
||||||
itself accompanies the executable.
|
|
||||||
|
|
||||||
If distribution of executable or object code is made by offering
|
|
||||||
access to copy from a designated place, then offering equivalent
|
|
||||||
access to copy the source code from the same place counts as
|
|
||||||
distribution of the source code, even though third parties are not
|
|
||||||
compelled to copy the source along with the object code.
|
|
||||||
|
|
||||||
4. You may not copy, modify, sublicense, or distribute the Program
|
|
||||||
except as expressly provided under this License. Any attempt
|
|
||||||
otherwise to copy, modify, sublicense or distribute the Program is
|
|
||||||
void, and will automatically terminate your rights under this License.
|
|
||||||
However, parties who have received copies, or rights, from you under
|
|
||||||
this License will not have their licenses terminated so long as such
|
|
||||||
parties remain in full compliance.
|
|
||||||
|
|
||||||
5. You are not required to accept this License, since you have not
|
|
||||||
signed it. However, nothing else grants you permission to modify or
|
|
||||||
distribute the Program or its derivative works. These actions are
|
|
||||||
prohibited by law if you do not accept this License. Therefore, by
|
|
||||||
modifying or distributing the Program (or any work based on the
|
|
||||||
Program), you indicate your acceptance of this License to do so, and
|
|
||||||
all its terms and conditions for copying, distributing or modifying
|
|
||||||
the Program or works based on it.
|
|
||||||
|
|
||||||
6. Each time you redistribute the Program (or any work based on the
|
|
||||||
Program), the recipient automatically receives a license from the
|
|
||||||
original licensor to copy, distribute or modify the Program subject to
|
|
||||||
these terms and conditions. You may not impose any further
|
|
||||||
restrictions on the recipients' exercise of the rights granted herein.
|
|
||||||
You are not responsible for enforcing compliance by third parties to
|
|
||||||
this License.
|
|
||||||
|
|
||||||
7. If, as a consequence of a court judgment or allegation of patent
|
|
||||||
infringement or for any other reason (not limited to patent issues),
|
|
||||||
conditions are imposed on you (whether by court order, agreement or
|
|
||||||
otherwise) that contradict the conditions of this License, they do not
|
|
||||||
excuse you from the conditions of this License. If you cannot
|
|
||||||
distribute so as to satisfy simultaneously your obligations under this
|
|
||||||
License and any other pertinent obligations, then as a consequence you
|
|
||||||
may not distribute the Program at all. For example, if a patent
|
|
||||||
license would not permit royalty-free redistribution of the Program by
|
|
||||||
all those who receive copies directly or indirectly through you, then
|
|
||||||
the only way you could satisfy both it and this License would be to
|
|
||||||
refrain entirely from distribution of the Program.
|
|
||||||
|
|
||||||
If any portion of this section is held invalid or unenforceable under
|
|
||||||
any particular circumstance, the balance of the section is intended to
|
|
||||||
apply and the section as a whole is intended to apply in other
|
|
||||||
circumstances.
|
|
||||||
|
|
||||||
It is not the purpose of this section to induce you to infringe any
|
|
||||||
patents or other property right claims or to contest validity of any
|
|
||||||
such claims; this section has the sole purpose of protecting the
|
|
||||||
integrity of the free software distribution system, which is
|
|
||||||
implemented by public license practices. Many people have made
|
|
||||||
generous contributions to the wide range of software distributed
|
|
||||||
through that system in reliance on consistent application of that
|
|
||||||
system; it is up to the author/donor to decide if he or she is willing
|
|
||||||
to distribute software through any other system and a licensee cannot
|
|
||||||
impose that choice.
|
|
||||||
|
|
||||||
This section is intended to make thoroughly clear what is believed to
|
|
||||||
be a consequence of the rest of this License.
|
|
||||||
|
|
||||||
8. If the distribution and/or use of the Program is restricted in
|
|
||||||
certain countries either by patents or by copyrighted interfaces, the
|
|
||||||
original copyright holder who places the Program under this License
|
|
||||||
may add an explicit geographical distribution limitation excluding
|
|
||||||
those countries, so that distribution is permitted only in or among
|
|
||||||
countries not thus excluded. In such case, this License incorporates
|
|
||||||
the limitation as if written in the body of this License.
|
|
||||||
|
|
||||||
9. The Free Software Foundation may publish revised and/or new versions
|
|
||||||
of the General Public License from time to time. Such new versions will
|
|
||||||
be similar in spirit to the present version, but may differ in detail to
|
|
||||||
address new problems or concerns.
|
|
||||||
|
|
||||||
Each version is given a distinguishing version number. If the Program
|
|
||||||
specifies a version number of this License which applies to it and "any
|
|
||||||
later version", you have the option of following the terms and conditions
|
|
||||||
either of that version or of any later version published by the Free
|
|
||||||
Software Foundation. If the Program does not specify a version number of
|
|
||||||
this License, you may choose any version ever published by the Free Software
|
|
||||||
Foundation.
|
|
||||||
|
|
||||||
10. If you wish to incorporate parts of the Program into other free
|
|
||||||
programs whose distribution conditions are different, write to the author
|
|
||||||
to ask for permission. For software which is copyrighted by the Free
|
|
||||||
Software Foundation, write to the Free Software Foundation; we sometimes
|
|
||||||
make exceptions for this. Our decision will be guided by the two goals
|
|
||||||
of preserving the free status of all derivatives of our free software and
|
|
||||||
of promoting the sharing and reuse of software generally.
|
|
||||||
|
|
||||||
NO WARRANTY
|
|
||||||
|
|
||||||
11. BECAUSE THE PROGRAM IS LICENSED FREE OF CHARGE, THERE IS NO WARRANTY
|
|
||||||
FOR THE PROGRAM, TO THE EXTENT PERMITTED BY APPLICABLE LAW. EXCEPT WHEN
|
|
||||||
OTHERWISE STATED IN WRITING THE COPYRIGHT HOLDERS AND/OR OTHER PARTIES
|
|
||||||
PROVIDE THE PROGRAM "AS IS" WITHOUT WARRANTY OF ANY KIND, EITHER EXPRESSED
|
|
||||||
OR IMPLIED, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
|
|
||||||
MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE. THE ENTIRE RISK AS
|
|
||||||
TO THE QUALITY AND PERFORMANCE OF THE PROGRAM IS WITH YOU. SHOULD THE
|
|
||||||
PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF ALL NECESSARY SERVICING,
|
|
||||||
REPAIR OR CORRECTION.
|
|
||||||
|
|
||||||
12. IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING
|
|
||||||
WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MAY MODIFY AND/OR
|
|
||||||
REDISTRIBUTE THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES,
|
|
||||||
INCLUDING ANY GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING
|
|
||||||
OUT OF THE USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED
|
|
||||||
TO LOSS OF DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY
|
|
||||||
YOU OR THIRD PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER
|
|
||||||
PROGRAMS), EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE
|
|
||||||
POSSIBILITY OF SUCH DAMAGES.
|
|
||||||
@@ -1,53 +0,0 @@
|
|||||||
# Seals - Numeric Calculus
|
|
||||||
|
|
||||||
This python package is made for applied Numeric Calculus of Linear Algebra. It is made with the following objectives in mind:
|
|
||||||
|
|
||||||
* Scan *csv* files to make a numpy matrix.
|
|
||||||
|
|
||||||
* Write a matrix into a *csv* file
|
|
||||||
|
|
||||||
* Insert user input into a matrix or a vector.
|
|
||||||
|
|
||||||
* Use methods to proccess the matrices.
|
|
||||||
* Identity Matrix
|
|
||||||
* Gauss Elimination
|
|
||||||
* Inverse Matrix
|
|
||||||
* Cholesky Decomposition
|
|
||||||
* LU Decomposition
|
|
||||||
* Cramer
|
|
||||||
|
|
||||||
## Syntax
|
|
||||||
|
|
||||||
The function *scan* has the following syntax `scan(path)`, where `path` is the path to your directory.
|
|
||||||
|
|
||||||
The function *solution* has the following syntax `write(array,path)`, where `array` is the matrix that you desire to output and `path` is the path to your directory.
|
|
||||||
|
|
||||||
The python class *Insert* has a method for *matrix* and another for *vector*, and it has the following syntax `Insert.method(array)`, where `Insert` is the *Python Class* and `method` is either a `matrix` or a `vector` and `array` is either a *matrix* or a *vector*.
|
|
||||||
|
|
||||||
### Processes
|
|
||||||
|
|
||||||
The python class *process* has all the methods described in the first session.
|
|
||||||
|
|
||||||
To call the method use a syntax like `sl = Seals.process()`, where `sl` is an instance and to use a method you have to append the method in front of the instance like: `sl.identity(array)`.
|
|
||||||
|
|
||||||
* The method *identity* returns a *numpy* identity matrix of the order of the matrix passed into to it, and it has the following syntax `sl.identity(array)`, which `array` is a square matrix.
|
|
||||||
|
|
||||||
* The method *gauss* returns a *numpy* vector containing the vector of variables from the augmented matrix. `sl.gauss(matrix)`, which `matrix` is the augmented matrix.
|
|
||||||
|
|
||||||
* The method *inverse* returns a *numpy* inverse matrix of the matrix passed into to it, and it has the following syntax `sl.inverse(matrix)`, which `matrix` is a square matrix.
|
|
||||||
|
|
||||||
* The method *cholesky* returns a *numpy* vector containing the vector of variables from the coefficient matrix and the constants vector, and it has the following syntax `sl.cholesky(A,b)`, which `A` is the coefficient matrix and `b` is the constants vector.
|
|
||||||
|
|
||||||
* The method *decomposition* returns a *numpy* vector containing the vector of variables from the coefficient matrix and the constants vector, and it has the following syntax `sl.cholesky(A,b)`, which `A` is the coefficient matrix and `b` is the constants vector.
|
|
||||||
|
|
||||||
* The method *cramer* returns a *numpy* vector containing the vector of variables from the coefficient matrix and the constants vector, and it has the following syntax `sl.cholesky(A,b)`, which `A` is the coefficient matrix and `b` is the constants vector.
|
|
||||||
|
|
||||||
## Installation
|
|
||||||
|
|
||||||
To install the package from source `cd` into the directory and run:
|
|
||||||
|
|
||||||
`pip install .`
|
|
||||||
|
|
||||||
or run
|
|
||||||
|
|
||||||
`pip install yoshi-seals`
|
|
||||||
@@ -1,268 +0,0 @@
|
|||||||
# Seals - Program made for educational intent, can be freely distributed
|
|
||||||
# and can be used for economical intent. I will not take legal actions
|
|
||||||
# unless my intelectual propperty, the code, is stolen or change without permission.
|
|
||||||
|
|
||||||
# Copyright (C) 2020 VItor Hideyoshi Nakazone Batista
|
|
||||||
|
|
||||||
# This program is free software; you can redistribute it and/or modify
|
|
||||||
# it under the terms of the GNU General Public License version 2 as published by
|
|
||||||
# the Free Software Foundation.
|
|
||||||
|
|
||||||
# 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.
|
|
||||||
|
|
||||||
import numpy as np
|
|
||||||
import csv
|
|
||||||
import pandas as pd
|
|
||||||
import math
|
|
||||||
|
|
||||||
class scan:
|
|
||||||
|
|
||||||
def __init__(self):
|
|
||||||
pass
|
|
||||||
|
|
||||||
def np(self, path):
|
|
||||||
|
|
||||||
df=pd.read_csv(path, sep=';',decimal=",",header=None)
|
|
||||||
array = df.to_numpy()
|
|
||||||
|
|
||||||
return array
|
|
||||||
|
|
||||||
def pd(self, path):
|
|
||||||
return pd.read_csv(path, sep=';',decimal=",")
|
|
||||||
|
|
||||||
def write(array, path):
|
|
||||||
|
|
||||||
with open(path, mode='w') as sistema_linear:
|
|
||||||
|
|
||||||
solution_writer = csv.writer(sistema_linear, delimiter=',', quotechar='"', quoting=csv.QUOTE_MINIMAL)
|
|
||||||
solution_writer.writerows(array)
|
|
||||||
|
|
||||||
return array
|
|
||||||
|
|
||||||
class insert:
|
|
||||||
|
|
||||||
def __init__(self):
|
|
||||||
pass
|
|
||||||
|
|
||||||
def matrix(self, matrix):
|
|
||||||
|
|
||||||
|
|
||||||
i = 0
|
|
||||||
|
|
||||||
while (i < matrix.shape[0]):
|
|
||||||
|
|
||||||
j = 0
|
|
||||||
|
|
||||||
while (j < matrix.shape[1]):
|
|
||||||
|
|
||||||
matrix[i][j] = float(input('Insira o elemento {}x{}: '.format((i+1),(j+1))))
|
|
||||||
j += 1
|
|
||||||
|
|
||||||
i += 1
|
|
||||||
|
|
||||||
return matrix
|
|
||||||
|
|
||||||
def vector(self, vector):
|
|
||||||
|
|
||||||
j=0
|
|
||||||
|
|
||||||
while (j < vector.shape[0]):
|
|
||||||
|
|
||||||
vector[j] = float(input('Insira o elemento b{}: '.format((j+1))))
|
|
||||||
j += 1
|
|
||||||
|
|
||||||
return vector
|
|
||||||
|
|
||||||
class process:
|
|
||||||
|
|
||||||
def __init__(self):
|
|
||||||
pass
|
|
||||||
|
|
||||||
def identity(self, matrix):
|
|
||||||
|
|
||||||
i = 0
|
|
||||||
|
|
||||||
while (i < matrix.shape[0]):
|
|
||||||
|
|
||||||
j = 0
|
|
||||||
|
|
||||||
while (j < matrix.shape[0]):
|
|
||||||
|
|
||||||
if (i == j):
|
|
||||||
|
|
||||||
matrix[i][j] = 1
|
|
||||||
|
|
||||||
elif (i != j):
|
|
||||||
|
|
||||||
matrix[i][j] = 0
|
|
||||||
|
|
||||||
j += 1
|
|
||||||
|
|
||||||
i += 1
|
|
||||||
|
|
||||||
return matrix
|
|
||||||
|
|
||||||
def gauss(self, matrix):
|
|
||||||
|
|
||||||
i = 0
|
|
||||||
k = 0
|
|
||||||
|
|
||||||
while (i < matrix.shape[0]):
|
|
||||||
|
|
||||||
if (matrix[i][i] == 0):
|
|
||||||
|
|
||||||
n = i
|
|
||||||
|
|
||||||
while (matrix[i][i] == 0) and (n < matrix.shape[0]):
|
|
||||||
|
|
||||||
temp = matrix[i].copy()
|
|
||||||
matrix[i] = matrix[n]
|
|
||||||
matrix[n] = temp
|
|
||||||
|
|
||||||
n += 1
|
|
||||||
|
|
||||||
while (k < matrix.shape[0]):
|
|
||||||
|
|
||||||
if (k == i) or (matrix[i][i] == 0):
|
|
||||||
|
|
||||||
k += 1
|
|
||||||
|
|
||||||
else:
|
|
||||||
|
|
||||||
mult = matrix[k][i]/matrix[i][i]
|
|
||||||
matrix[k] = matrix[k] - mult*matrix[i]
|
|
||||||
k += 1
|
|
||||||
|
|
||||||
i += 1
|
|
||||||
k = 0
|
|
||||||
|
|
||||||
i = 0
|
|
||||||
|
|
||||||
while ((i) < matrix.shape[0]) and (matrix[i][i] != 0):
|
|
||||||
|
|
||||||
matrix[i] = matrix[i]/matrix[i][i]
|
|
||||||
i += 1
|
|
||||||
|
|
||||||
return matrix[:,(matrix.shape[0]):]
|
|
||||||
|
|
||||||
def inverse(self, matrix):
|
|
||||||
|
|
||||||
return self.gauss(np.hstack((matrix, self.identity(np.zeros(matrix.shape)))))
|
|
||||||
|
|
||||||
def cholesky(self, A, b):
|
|
||||||
|
|
||||||
g = np.zeros((A.shape))
|
|
||||||
|
|
||||||
i = 0
|
|
||||||
j = 0
|
|
||||||
|
|
||||||
while j < A.shape[1]:
|
|
||||||
while i < A.shape[0]:
|
|
||||||
|
|
||||||
if i == 0 and j == 0:
|
|
||||||
|
|
||||||
g[i][j] = math.sqrt(A[0][0])
|
|
||||||
|
|
||||||
elif j == 0:
|
|
||||||
|
|
||||||
g[i][j] = A[i][0]/g[0][0]
|
|
||||||
|
|
||||||
elif i == j:
|
|
||||||
|
|
||||||
k = 0
|
|
||||||
theta = 0
|
|
||||||
|
|
||||||
while k < i:
|
|
||||||
|
|
||||||
theta += g[i][k]**2
|
|
||||||
k += 1
|
|
||||||
|
|
||||||
g[i][j] = math.sqrt(A[i][i] - theta)
|
|
||||||
|
|
||||||
else:
|
|
||||||
|
|
||||||
k = 0
|
|
||||||
theta = 0
|
|
||||||
|
|
||||||
while k < j:
|
|
||||||
|
|
||||||
theta += g[i][k]*g[j][k]
|
|
||||||
k += 1
|
|
||||||
|
|
||||||
g[i][j] = (A[i][j] - theta)/g[j][j]
|
|
||||||
|
|
||||||
i += 1
|
|
||||||
|
|
||||||
j += 1
|
|
||||||
i = j
|
|
||||||
|
|
||||||
y = (self.inverse(g)).dot(b)
|
|
||||||
|
|
||||||
x = (self.inverse(g.T)).dot(y)
|
|
||||||
|
|
||||||
return x
|
|
||||||
|
|
||||||
def decomposition(self, U, b):
|
|
||||||
|
|
||||||
L = self.identity(np.zeros(U.shape))
|
|
||||||
|
|
||||||
i = 0
|
|
||||||
k = 0
|
|
||||||
|
|
||||||
while (i < U.shape[0]):
|
|
||||||
|
|
||||||
k = 0
|
|
||||||
|
|
||||||
if (U[i][i] == 0):
|
|
||||||
|
|
||||||
n = i
|
|
||||||
|
|
||||||
while (U[i][i] == 0) and (n < U.shape[0]):
|
|
||||||
|
|
||||||
temp = U[i].copy()
|
|
||||||
U[i] = U[n]
|
|
||||||
U[n] = temp
|
|
||||||
|
|
||||||
n += 1
|
|
||||||
|
|
||||||
while (k < U.shape[0]):
|
|
||||||
|
|
||||||
if (k <= i) or (U[i][i] == 0):
|
|
||||||
|
|
||||||
k += 1
|
|
||||||
|
|
||||||
else:
|
|
||||||
L[k][i] = U[k][i]/U[i][i]
|
|
||||||
U[k] = U[k] - L[k][i]*U[i]
|
|
||||||
k += 1
|
|
||||||
|
|
||||||
i += 1
|
|
||||||
|
|
||||||
y = (self.inverse(L)).dot(b)
|
|
||||||
|
|
||||||
x = (self.inverse(U)).dot(y)
|
|
||||||
|
|
||||||
return x
|
|
||||||
|
|
||||||
def cramer(self, A, b):
|
|
||||||
|
|
||||||
x = np.vstack(np.zeros(b.shape))
|
|
||||||
k = 0
|
|
||||||
|
|
||||||
while (k < A.shape[0]):
|
|
||||||
|
|
||||||
temp = A.copy()
|
|
||||||
temp[:,k] = b
|
|
||||||
|
|
||||||
x[k] = np.linalg.det(temp)/np.linalg.det(A)
|
|
||||||
|
|
||||||
k += 1
|
|
||||||
|
|
||||||
return x
|
|
||||||
@@ -1,23 +0,0 @@
|
|||||||
# Seals - Program made for educational intent, can be freely distributed
|
|
||||||
# and can be used for economical intent. I will not take legal actions
|
|
||||||
# unless my intelectual propperty, the code, is stolen or change without permission.
|
|
||||||
|
|
||||||
# Copyright (C) 2020 VItor Hideyoshi Nakazone Batista
|
|
||||||
|
|
||||||
# This program is free software; you can redistribute it and/or modify
|
|
||||||
# it under the terms of the GNU General Public License version 2 as published by
|
|
||||||
# the Free Software Foundation.
|
|
||||||
|
|
||||||
# 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.
|
|
||||||
|
|
||||||
from .Seals import process
|
|
||||||
from .Seals import insert
|
|
||||||
from .Seals import scan
|
|
||||||
from .Seals import write
|
|
||||||
Binary file not shown.
Binary file not shown.
@@ -1,268 +0,0 @@
|
|||||||
# Seals - Program made for educational intent, can be freely distributed
|
|
||||||
# and can be used for economical intent. I will not take legal actions
|
|
||||||
# unless my intelectual propperty, the code, is stolen or change without permission.
|
|
||||||
|
|
||||||
# Copyright (C) 2020 VItor Hideyoshi Nakazone Batista
|
|
||||||
|
|
||||||
# This program is free software; you can redistribute it and/or modify
|
|
||||||
# it under the terms of the GNU General Public License version 2 as published by
|
|
||||||
# the Free Software Foundation.
|
|
||||||
|
|
||||||
# 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.
|
|
||||||
|
|
||||||
import numpy as np
|
|
||||||
import csv
|
|
||||||
import pandas as pd
|
|
||||||
import math
|
|
||||||
|
|
||||||
class scan:
|
|
||||||
|
|
||||||
def __init__(self):
|
|
||||||
pass
|
|
||||||
|
|
||||||
def np(self, path):
|
|
||||||
|
|
||||||
df=pd.read_csv(path, sep=';',decimal=",",header=None)
|
|
||||||
array = df.to_numpy()
|
|
||||||
|
|
||||||
return array
|
|
||||||
|
|
||||||
def pd(self, path):
|
|
||||||
return pd.read_csv(path, sep=';',decimal=",")
|
|
||||||
|
|
||||||
def write(array, path):
|
|
||||||
|
|
||||||
with open(path, mode='w') as sistema_linear:
|
|
||||||
|
|
||||||
solution_writer = csv.writer(sistema_linear, delimiter=',', quotechar='"', quoting=csv.QUOTE_MINIMAL)
|
|
||||||
solution_writer.writerows(array)
|
|
||||||
|
|
||||||
return array
|
|
||||||
|
|
||||||
class insert:
|
|
||||||
|
|
||||||
def __init__(self):
|
|
||||||
pass
|
|
||||||
|
|
||||||
def matrix(self, matrix):
|
|
||||||
|
|
||||||
|
|
||||||
i = 0
|
|
||||||
|
|
||||||
while (i < matrix.shape[0]):
|
|
||||||
|
|
||||||
j = 0
|
|
||||||
|
|
||||||
while (j < matrix.shape[1]):
|
|
||||||
|
|
||||||
matrix[i][j] = float(input('Insira o elemento {}x{}: '.format((i+1),(j+1))))
|
|
||||||
j += 1
|
|
||||||
|
|
||||||
i += 1
|
|
||||||
|
|
||||||
return matrix
|
|
||||||
|
|
||||||
def vector(self, vector):
|
|
||||||
|
|
||||||
j=0
|
|
||||||
|
|
||||||
while (j < vector.shape[0]):
|
|
||||||
|
|
||||||
vector[j] = float(input('Insira o elemento b{}: '.format((j+1))))
|
|
||||||
j += 1
|
|
||||||
|
|
||||||
return vector
|
|
||||||
|
|
||||||
class process:
|
|
||||||
|
|
||||||
def __init__(self):
|
|
||||||
pass
|
|
||||||
|
|
||||||
def identity(self, matrix):
|
|
||||||
|
|
||||||
i = 0
|
|
||||||
|
|
||||||
while (i < matrix.shape[0]):
|
|
||||||
|
|
||||||
j = 0
|
|
||||||
|
|
||||||
while (j < matrix.shape[0]):
|
|
||||||
|
|
||||||
if (i == j):
|
|
||||||
|
|
||||||
matrix[i][j] = 1
|
|
||||||
|
|
||||||
elif (i != j):
|
|
||||||
|
|
||||||
matrix[i][j] = 0
|
|
||||||
|
|
||||||
j += 1
|
|
||||||
|
|
||||||
i += 1
|
|
||||||
|
|
||||||
return matrix
|
|
||||||
|
|
||||||
def gauss(self, matrix):
|
|
||||||
|
|
||||||
i = 0
|
|
||||||
k = 0
|
|
||||||
|
|
||||||
while (i < matrix.shape[0]):
|
|
||||||
|
|
||||||
if (matrix[i][i] == 0):
|
|
||||||
|
|
||||||
n = i
|
|
||||||
|
|
||||||
while (matrix[i][i] == 0) and (n < matrix.shape[0]):
|
|
||||||
|
|
||||||
temp = matrix[i].copy()
|
|
||||||
matrix[i] = matrix[n]
|
|
||||||
matrix[n] = temp
|
|
||||||
|
|
||||||
n += 1
|
|
||||||
|
|
||||||
while (k < matrix.shape[0]):
|
|
||||||
|
|
||||||
if (k == i) or (matrix[i][i] == 0):
|
|
||||||
|
|
||||||
k += 1
|
|
||||||
|
|
||||||
else:
|
|
||||||
|
|
||||||
mult = matrix[k][i]/matrix[i][i]
|
|
||||||
matrix[k] = matrix[k] - mult*matrix[i]
|
|
||||||
k += 1
|
|
||||||
|
|
||||||
i += 1
|
|
||||||
k = 0
|
|
||||||
|
|
||||||
i = 0
|
|
||||||
|
|
||||||
while ((i) < matrix.shape[0]) and (matrix[i][i] != 0):
|
|
||||||
|
|
||||||
matrix[i] = matrix[i]/matrix[i][i]
|
|
||||||
i += 1
|
|
||||||
|
|
||||||
return matrix[:,(matrix.shape[0]):]
|
|
||||||
|
|
||||||
def inverse(self, matrix):
|
|
||||||
|
|
||||||
return self.gauss(np.hstack((matrix, self.identity(np.zeros(matrix.shape)))))
|
|
||||||
|
|
||||||
def cholesky(self, A, b):
|
|
||||||
|
|
||||||
g = np.zeros((A.shape))
|
|
||||||
|
|
||||||
i = 0
|
|
||||||
j = 0
|
|
||||||
|
|
||||||
while j < A.shape[1]:
|
|
||||||
while i < A.shape[0]:
|
|
||||||
|
|
||||||
if i == 0 and j == 0:
|
|
||||||
|
|
||||||
g[i][j] = math.sqrt(A[0][0])
|
|
||||||
|
|
||||||
elif j == 0:
|
|
||||||
|
|
||||||
g[i][j] = A[i][0]/g[0][0]
|
|
||||||
|
|
||||||
elif i == j:
|
|
||||||
|
|
||||||
k = 0
|
|
||||||
theta = 0
|
|
||||||
|
|
||||||
while k < i:
|
|
||||||
|
|
||||||
theta += g[i][k]**2
|
|
||||||
k += 1
|
|
||||||
|
|
||||||
g[i][j] = math.sqrt(A[i][i] - theta)
|
|
||||||
|
|
||||||
else:
|
|
||||||
|
|
||||||
k = 0
|
|
||||||
theta = 0
|
|
||||||
|
|
||||||
while k < j:
|
|
||||||
|
|
||||||
theta += g[i][k]*g[j][k]
|
|
||||||
k += 1
|
|
||||||
|
|
||||||
g[i][j] = (A[i][j] - theta)/g[j][j]
|
|
||||||
|
|
||||||
i += 1
|
|
||||||
|
|
||||||
j += 1
|
|
||||||
i = j
|
|
||||||
|
|
||||||
y = (self.inverse(g)).dot(b)
|
|
||||||
|
|
||||||
x = (self.inverse(g.T)).dot(y)
|
|
||||||
|
|
||||||
return x
|
|
||||||
|
|
||||||
def decomposition(self, U, b):
|
|
||||||
|
|
||||||
L = self.identity(np.zeros(U.shape))
|
|
||||||
|
|
||||||
i = 0
|
|
||||||
k = 0
|
|
||||||
|
|
||||||
while (i < U.shape[0]):
|
|
||||||
|
|
||||||
k = 0
|
|
||||||
|
|
||||||
if (U[i][i] == 0):
|
|
||||||
|
|
||||||
n = i
|
|
||||||
|
|
||||||
while (U[i][i] == 0) and (n < U.shape[0]):
|
|
||||||
|
|
||||||
temp = U[i].copy()
|
|
||||||
U[i] = U[n]
|
|
||||||
U[n] = temp
|
|
||||||
|
|
||||||
n += 1
|
|
||||||
|
|
||||||
while (k < U.shape[0]):
|
|
||||||
|
|
||||||
if (k <= i) or (U[i][i] == 0):
|
|
||||||
|
|
||||||
k += 1
|
|
||||||
|
|
||||||
else:
|
|
||||||
L[k][i] = U[k][i]/U[i][i]
|
|
||||||
U[k] = U[k] - L[k][i]*U[i]
|
|
||||||
k += 1
|
|
||||||
|
|
||||||
i += 1
|
|
||||||
|
|
||||||
y = (self.inverse(L)).dot(b)
|
|
||||||
|
|
||||||
x = (self.inverse(U)).dot(y)
|
|
||||||
|
|
||||||
return x
|
|
||||||
|
|
||||||
def cramer(self, A, b):
|
|
||||||
|
|
||||||
x = np.vstack(np.zeros(b.shape))
|
|
||||||
k = 0
|
|
||||||
|
|
||||||
while (k < A.shape[0]):
|
|
||||||
|
|
||||||
temp = A.copy()
|
|
||||||
temp[:,k] = b
|
|
||||||
|
|
||||||
x[k] = np.linalg.det(temp)/np.linalg.det(A)
|
|
||||||
|
|
||||||
k += 1
|
|
||||||
|
|
||||||
return x
|
|
||||||
@@ -1,23 +0,0 @@
|
|||||||
# Seals - Program made for educational intent, can be freely distributed
|
|
||||||
# and can be used for economical intent. I will not take legal actions
|
|
||||||
# unless my intelectual propperty, the code, is stolen or change without permission.
|
|
||||||
|
|
||||||
# Copyright (C) 2020 VItor Hideyoshi Nakazone Batista
|
|
||||||
|
|
||||||
# This program is free software; you can redistribute it and/or modify
|
|
||||||
# it under the terms of the GNU General Public License version 2 as published by
|
|
||||||
# the Free Software Foundation.
|
|
||||||
|
|
||||||
# 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.
|
|
||||||
|
|
||||||
from .Seals import process
|
|
||||||
from .Seals import insert
|
|
||||||
from .Seals import scan
|
|
||||||
from .Seals import write
|
|
||||||
Binary file not shown.
Binary file not shown.
Binary file not shown.
Binary file not shown.
@@ -1,27 +0,0 @@
|
|||||||
import setuptools
|
|
||||||
|
|
||||||
with open("README.md", "r") as fh:
|
|
||||||
long_description = fh.read()
|
|
||||||
|
|
||||||
setuptools.setup(
|
|
||||||
name="yoshi-seals",
|
|
||||||
version="1.2.1",
|
|
||||||
author="Vitor Hideyoshi",
|
|
||||||
author_email="vitor.h.n.batista@gmail.com",
|
|
||||||
description="Numeric Calculus python module in the topic of Linear Algebra",
|
|
||||||
long_description=long_description,
|
|
||||||
long_description_content_type="text/markdown",
|
|
||||||
url="https://github.com/HideyoshiNakazone/Seals-NumericCalculus.git",
|
|
||||||
packages=setuptools.find_packages(),
|
|
||||||
classifiers=[
|
|
||||||
"Programming Language :: Python :: 3",
|
|
||||||
"License :: OSI Approved :: GNU General Public License v2 (GPLv2)",
|
|
||||||
"Operating System :: OS Independent",
|
|
||||||
"Development Status :: 2 - Pre-Alpha",
|
|
||||||
],
|
|
||||||
python_requires='>=3.6',
|
|
||||||
install_requires=[
|
|
||||||
'numpy',
|
|
||||||
'pandas',
|
|
||||||
],
|
|
||||||
)
|
|
||||||
@@ -1,69 +0,0 @@
|
|||||||
Metadata-Version: 2.1
|
|
||||||
Name: yoshi-seals
|
|
||||||
Version: 1.2.1
|
|
||||||
Summary: Numeric Calculus python module in the topic of Linear Algebra
|
|
||||||
Home-page: https://github.com/HideyoshiNakazone/Seals-NumericCalculus.git
|
|
||||||
Author: Vitor Hideyoshi
|
|
||||||
Author-email: vitor.h.n.batista@gmail.com
|
|
||||||
License: UNKNOWN
|
|
||||||
Description: # Seals - Numeric Calculus
|
|
||||||
|
|
||||||
This python package is made for applied Numeric Calculus of Linear Algebra. It is made with the following objectives in mind:
|
|
||||||
|
|
||||||
* Scan *csv* files to make a numpy matrix.
|
|
||||||
|
|
||||||
* Write a matrix into a *csv* file
|
|
||||||
|
|
||||||
* Insert user input into a matrix or a vector.
|
|
||||||
|
|
||||||
* Use methods to proccess the matrices.
|
|
||||||
* Identity Matrix
|
|
||||||
* Gauss Elimination
|
|
||||||
* Inverse Matrix
|
|
||||||
* Cholesky Decomposition
|
|
||||||
* LU Decomposition
|
|
||||||
* Cramer
|
|
||||||
|
|
||||||
## Syntax
|
|
||||||
|
|
||||||
The function *scan* has the following syntax `scan(path)`, where `path` is the path to your directory.
|
|
||||||
|
|
||||||
The function *solution* has the following syntax `write(array,path)`, where `array` is the matrix that you desire to output and `path` is the path to your directory.
|
|
||||||
|
|
||||||
The python class *Insert* has a method for *matrix* and another for *vector*, and it has the following syntax `Insert.method(array)`, where `Insert` is the *Python Class* and `method` is either a `matrix` or a `vector` and `array` is either a *matrix* or a *vector*.
|
|
||||||
|
|
||||||
### Processes
|
|
||||||
|
|
||||||
The python class *process* has all the methods described in the first session.
|
|
||||||
|
|
||||||
To call the method use a syntax like `sl = Seals.process()`, where `sl` is an instance and to use a method you have to append the method in front of the instance like: `sl.identity(array)`.
|
|
||||||
|
|
||||||
* The method *identity* returns a *numpy* identity matrix of the order of the matrix passed into to it, and it has the following syntax `sl.identity(array)`, which `array` is a square matrix.
|
|
||||||
|
|
||||||
* The method *gauss* returns a *numpy* vector containing the vector of variables from the augmented matrix. `sl.gauss(matrix)`, which `matrix` is the augmented matrix.
|
|
||||||
|
|
||||||
* The method *inverse* returns a *numpy* inverse matrix of the matrix passed into to it, and it has the following syntax `sl.inverse(matrix)`, which `matrix` is a square matrix.
|
|
||||||
|
|
||||||
* The method *cholesky* returns a *numpy* vector containing the vector of variables from the coefficient matrix and the constants vector, and it has the following syntax `sl.cholesky(A,b)`, which `A` is the coefficient matrix and `b` is the constants vector.
|
|
||||||
|
|
||||||
* The method *decomposition* returns a *numpy* vector containing the vector of variables from the coefficient matrix and the constants vector, and it has the following syntax `sl.cholesky(A,b)`, which `A` is the coefficient matrix and `b` is the constants vector.
|
|
||||||
|
|
||||||
* The method *cramer* returns a *numpy* vector containing the vector of variables from the coefficient matrix and the constants vector, and it has the following syntax `sl.cholesky(A,b)`, which `A` is the coefficient matrix and `b` is the constants vector.
|
|
||||||
|
|
||||||
## Installation
|
|
||||||
|
|
||||||
To install the package from source `cd` into the directory and run:
|
|
||||||
|
|
||||||
`pip install .`
|
|
||||||
|
|
||||||
or run
|
|
||||||
|
|
||||||
`pip install yoshi-seals`
|
|
||||||
|
|
||||||
Platform: UNKNOWN
|
|
||||||
Classifier: Programming Language :: Python :: 3
|
|
||||||
Classifier: License :: OSI Approved :: GNU General Public License v2 (GPLv2)
|
|
||||||
Classifier: Operating System :: OS Independent
|
|
||||||
Classifier: Development Status :: 2 - Pre-Alpha
|
|
||||||
Requires-Python: >=3.6
|
|
||||||
Description-Content-Type: text/markdown
|
|
||||||
@@ -1,9 +0,0 @@
|
|||||||
README.md
|
|
||||||
setup.py
|
|
||||||
Seals/Seals.py
|
|
||||||
Seals/__init__.py
|
|
||||||
yoshi_seals.egg-info/PKG-INFO
|
|
||||||
yoshi_seals.egg-info/SOURCES.txt
|
|
||||||
yoshi_seals.egg-info/dependency_links.txt
|
|
||||||
yoshi_seals.egg-info/requires.txt
|
|
||||||
yoshi_seals.egg-info/top_level.txt
|
|
||||||
@@ -1,2 +0,0 @@
|
|||||||
numpy
|
|
||||||
pandas
|
|
||||||
@@ -1 +0,0 @@
|
|||||||
Seals
|
|
||||||
Binary file not shown.
@@ -1,278 +0,0 @@
|
|||||||
GNU GENERAL PUBLIC LICENSE
|
|
||||||
Version 2, June 1991
|
|
||||||
|
|
||||||
Copyright (C) 1989, 1991 Free Software Foundation, Inc.,
|
|
||||||
51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
|
|
||||||
Everyone is permitted to copy and distribute verbatim copies
|
|
||||||
of this license document, but changing it is not allowed.
|
|
||||||
|
|
||||||
Preamble
|
|
||||||
|
|
||||||
The licenses for most software are designed to take away your
|
|
||||||
freedom to share and change it. By contrast, the GNU General Public
|
|
||||||
License is intended to guarantee your freedom to share and change free
|
|
||||||
software--to make sure the software is free for all its users. This
|
|
||||||
General Public License applies to most of the Free Software
|
|
||||||
Foundation's software and to any other program whose authors commit to
|
|
||||||
using it. (Some other Free Software Foundation software is covered by
|
|
||||||
the GNU Lesser General Public License instead.) You can apply it to
|
|
||||||
your programs, too.
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||||||
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|
||||||
When we speak of free software, we are referring to freedom, not
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|
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To protect your rights, we need to make restrictions that forbid
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|
||||||
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These restrictions translate to certain responsibilities for you if you
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For example, if you distribute copies of such a program, whether
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|
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We protect your rights with two steps: (1) copyright the software, and
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|
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Also, for each author's protection and ours, we want to make certain
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|
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Finally, any free program is threatened constantly by software
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The precise terms and conditions for copying, distribution and
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|
||||||
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|
||||||
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|
||||||
GNU GENERAL PUBLIC LICENSE
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|
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TERMS AND CONDITIONS FOR COPYING, DISTRIBUTION AND MODIFICATION
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|
||||||
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|
||||||
0. This License applies to any program or other work which contains
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|
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These requirements apply to the modified work as a whole. If
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In addition, mere aggregation of another work not based on the Program
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|
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The source code for a work means the preferred form of the work for
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If distribution of executable or object code is made by offering
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||||||
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4. You may not copy, modify, sublicense, or distribute the Program
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||||||
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||||||
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However, parties who have received copies, or rights, from you under
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6. Each time you redistribute the Program (or any work based on the
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You are not responsible for enforcing compliance by third parties to
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|
||||||
7. If, as a consequence of a court judgment or allegation of patent
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||||||
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license would not permit royalty-free redistribution of the Program by
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|
||||||
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refrain entirely from distribution of the Program.
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|
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If any portion of this section is held invalid or unenforceable under
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|
||||||
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|
||||||
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|
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|
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It is not the purpose of this section to induce you to infringe any
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||||||
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||||||
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||||||
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|
||||||
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||||||
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|
||||||
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|
||||||
to distribute software through any other system and a licensee cannot
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|
||||||
impose that choice.
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|
||||||
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|
||||||
This section is intended to make thoroughly clear what is believed to
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|
||||||
be a consequence of the rest of this License.
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|
||||||
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|
||||||
8. If the distribution and/or use of the Program is restricted in
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|
||||||
certain countries either by patents or by copyrighted interfaces, the
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|
||||||
original copyright holder who places the Program under this License
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|
||||||
may add an explicit geographical distribution limitation excluding
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|
||||||
those countries, so that distribution is permitted only in or among
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|
||||||
countries not thus excluded. In such case, this License incorporates
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|
||||||
the limitation as if written in the body of this License.
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|
||||||
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|
||||||
9. The Free Software Foundation may publish revised and/or new versions
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|
||||||
of the General Public License from time to time. Such new versions will
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|
||||||
be similar in spirit to the present version, but may differ in detail to
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|
||||||
address new problems or concerns.
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|
||||||
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|
||||||
Each version is given a distinguishing version number. If the Program
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|
||||||
specifies a version number of this License which applies to it and "any
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|
||||||
later version", you have the option of following the terms and conditions
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|
||||||
either of that version or of any later version published by the Free
|
|
||||||
Software Foundation. If the Program does not specify a version number of
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|
||||||
this License, you may choose any version ever published by the Free Software
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|
||||||
Foundation.
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|
||||||
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|
||||||
10. If you wish to incorporate parts of the Program into other free
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|
||||||
programs whose distribution conditions are different, write to the author
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|
||||||
to ask for permission. For software which is copyrighted by the Free
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|
||||||
Software Foundation, write to the Free Software Foundation; we sometimes
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|
||||||
make exceptions for this. Our decision will be guided by the two goals
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|
||||||
of preserving the free status of all derivatives of our free software and
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|
||||||
of promoting the sharing and reuse of software generally.
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|
||||||
|
|
||||||
NO WARRANTY
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|
||||||
|
|
||||||
11. BECAUSE THE PROGRAM IS LICENSED FREE OF CHARGE, THERE IS NO WARRANTY
|
|
||||||
FOR THE PROGRAM, TO THE EXTENT PERMITTED BY APPLICABLE LAW. EXCEPT WHEN
|
|
||||||
OTHERWISE STATED IN WRITING THE COPYRIGHT HOLDERS AND/OR OTHER PARTIES
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|
||||||
PROVIDE THE PROGRAM "AS IS" WITHOUT WARRANTY OF ANY KIND, EITHER EXPRESSED
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|
||||||
OR IMPLIED, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
|
|
||||||
MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE. THE ENTIRE RISK AS
|
|
||||||
TO THE QUALITY AND PERFORMANCE OF THE PROGRAM IS WITH YOU. SHOULD THE
|
|
||||||
PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF ALL NECESSARY SERVICING,
|
|
||||||
REPAIR OR CORRECTION.
|
|
||||||
|
|
||||||
12. IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING
|
|
||||||
WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MAY MODIFY AND/OR
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|
||||||
REDISTRIBUTE THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES,
|
|
||||||
INCLUDING ANY GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING
|
|
||||||
OUT OF THE USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED
|
|
||||||
TO LOSS OF DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY
|
|
||||||
YOU OR THIRD PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER
|
|
||||||
PROGRAMS), EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE
|
|
||||||
POSSIBILITY OF SUCH DAMAGES.
|
|
||||||
@@ -1,53 +0,0 @@
|
|||||||
# Seals - Numeric Calculus
|
|
||||||
|
|
||||||
This python package is made for applied Numeric Calculus of Linear Algebra. It is made with the following objectives in mind:
|
|
||||||
|
|
||||||
* Scan *csv* files to make a numpy matrix.
|
|
||||||
|
|
||||||
* Write a matrix into a *csv* file
|
|
||||||
|
|
||||||
* Insert user input into a matrix or a vector.
|
|
||||||
|
|
||||||
* Use methods to proccess the matrices.
|
|
||||||
* Identity Matrix
|
|
||||||
* Gauss Elimination
|
|
||||||
* Inverse Matrix
|
|
||||||
* Cholesky Decomposition
|
|
||||||
* LU Decomposition
|
|
||||||
* Cramer
|
|
||||||
|
|
||||||
## Syntax
|
|
||||||
|
|
||||||
The function *scan* has the following syntax `scan(path)`, where `path` is the path to your directory.
|
|
||||||
|
|
||||||
The function *solution* has the following syntax `write(array,path)`, where `array` is the matrix that you desire to output and `path` is the path to your directory.
|
|
||||||
|
|
||||||
The python class *Insert* has a method for *matrix* and another for *vector*, and it has the following syntax `Insert.method(array)`, where `Insert` is the *Python Class* and `method` is either a `matrix` or a `vector` and `array` is either a *matrix* or a *vector*.
|
|
||||||
|
|
||||||
### Processes
|
|
||||||
|
|
||||||
The python class *process* has all the methods described in the first session.
|
|
||||||
|
|
||||||
To call the method use a syntax like `sl = Seals.process()`, where `sl` is an instance and to use a method you have to append the method in front of the instance like: `sl.identity(array)`.
|
|
||||||
|
|
||||||
* The method *identity* returns a *numpy* identity matrix of the order of the matrix passed into to it, and it has the following syntax `sl.identity(array)`, which `array` is a square matrix.
|
|
||||||
|
|
||||||
* The method *gauss* returns a *numpy* vector containing the vector of variables from the augmented matrix. `sl.gauss(matrix)`, which `matrix` is the augmented matrix.
|
|
||||||
|
|
||||||
* The method *inverse* returns a *numpy* inverse matrix of the matrix passed into to it, and it has the following syntax `sl.inverse(matrix)`, which `matrix` is a square matrix.
|
|
||||||
|
|
||||||
* The method *cholesky* returns a *numpy* vector containing the vector of variables from the coefficient matrix and the constants vector, and it has the following syntax `sl.cholesky(A,b)`, which `A` is the coefficient matrix and `b` is the constants vector.
|
|
||||||
|
|
||||||
* The method *decomposition* returns a *numpy* vector containing the vector of variables from the coefficient matrix and the constants vector, and it has the following syntax `sl.cholesky(A,b)`, which `A` is the coefficient matrix and `b` is the constants vector.
|
|
||||||
|
|
||||||
* The method *cramer* returns a *numpy* vector containing the vector of variables from the coefficient matrix and the constants vector, and it has the following syntax `sl.cholesky(A,b)`, which `A` is the coefficient matrix and `b` is the constants vector.
|
|
||||||
|
|
||||||
## Installation
|
|
||||||
|
|
||||||
To install the package from source `cd` into the directory and run:
|
|
||||||
|
|
||||||
`pip install .`
|
|
||||||
|
|
||||||
or run
|
|
||||||
|
|
||||||
`pip install yoshi-seals`
|
|
||||||
@@ -1,260 +0,0 @@
|
|||||||
# Seals - Program made for educational intent, can be freely distributed
|
|
||||||
# and can be used for economical intent. I will not take legal actions
|
|
||||||
# unless my intelectual propperty, the code, is stolen or change without permission.
|
|
||||||
|
|
||||||
# Copyright (C) 2020 VItor Hideyoshi Nakazone Batista
|
|
||||||
|
|
||||||
# This program is free software; you can redistribute it and/or modify
|
|
||||||
# it under the terms of the GNU General Public License version 2 as published by
|
|
||||||
# the Free Software Foundation.
|
|
||||||
|
|
||||||
# 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.
|
|
||||||
|
|
||||||
import numpy as np
|
|
||||||
import csv
|
|
||||||
import pandas as pd
|
|
||||||
import math
|
|
||||||
|
|
||||||
def scan(path):
|
|
||||||
|
|
||||||
df=pd.read_csv(path, sep=';',decimal=",",header=None)
|
|
||||||
array = df.to_numpy()
|
|
||||||
|
|
||||||
return array
|
|
||||||
|
|
||||||
def write(array, path):
|
|
||||||
|
|
||||||
with open(path, mode='w') as sistema_linear:
|
|
||||||
|
|
||||||
solution_writer = csv.writer(sistema_linear, delimiter=',', quotechar='"', quoting=csv.QUOTE_MINIMAL)
|
|
||||||
solution_writer.writerows(array)
|
|
||||||
|
|
||||||
return array
|
|
||||||
|
|
||||||
class Insert:
|
|
||||||
|
|
||||||
def __init__(self):
|
|
||||||
pass
|
|
||||||
|
|
||||||
def matrix(self, matrix):
|
|
||||||
|
|
||||||
|
|
||||||
i = 0
|
|
||||||
|
|
||||||
while (i < matrix.shape[0]):
|
|
||||||
|
|
||||||
j = 0
|
|
||||||
|
|
||||||
while (j < matrix.shape[1]):
|
|
||||||
|
|
||||||
matrix[i][j] = float(input('Insira o elemento {}x{}: '.format((i+1),(j+1))))
|
|
||||||
j += 1
|
|
||||||
|
|
||||||
i += 1
|
|
||||||
|
|
||||||
return matrix
|
|
||||||
|
|
||||||
def vector(self, vector):
|
|
||||||
|
|
||||||
j=0
|
|
||||||
|
|
||||||
while (j < vector.shape[0]):
|
|
||||||
|
|
||||||
vector[j] = float(input('Insira o elemento b{}: '.format((j+1))))
|
|
||||||
j += 1
|
|
||||||
|
|
||||||
return vector
|
|
||||||
|
|
||||||
class process:
|
|
||||||
|
|
||||||
def __init__(self):
|
|
||||||
pass
|
|
||||||
|
|
||||||
def identity(self, matrix):
|
|
||||||
|
|
||||||
i = 0
|
|
||||||
|
|
||||||
while (i < matrix.shape[0]):
|
|
||||||
|
|
||||||
j = 0
|
|
||||||
|
|
||||||
while (j < matrix.shape[0]):
|
|
||||||
|
|
||||||
if (i == j):
|
|
||||||
|
|
||||||
matrix[i][j] = 1
|
|
||||||
|
|
||||||
elif (i != j):
|
|
||||||
|
|
||||||
matrix[i][j] = 0
|
|
||||||
|
|
||||||
j += 1
|
|
||||||
|
|
||||||
i += 1
|
|
||||||
|
|
||||||
return matrix
|
|
||||||
|
|
||||||
def gauss(self, matrix):
|
|
||||||
|
|
||||||
i = 0
|
|
||||||
k = 0
|
|
||||||
|
|
||||||
while (i < matrix.shape[0]):
|
|
||||||
|
|
||||||
if (matrix[i][i] == 0):
|
|
||||||
|
|
||||||
n = i
|
|
||||||
|
|
||||||
while (matrix[i][i] == 0) and (n < matrix.shape[0]):
|
|
||||||
|
|
||||||
temp = matrix[i].copy()
|
|
||||||
matrix[i] = matrix[n]
|
|
||||||
matrix[n] = temp
|
|
||||||
|
|
||||||
n += 1
|
|
||||||
|
|
||||||
while (k < matrix.shape[0]):
|
|
||||||
|
|
||||||
if (k == i) or (matrix[i][i] == 0):
|
|
||||||
|
|
||||||
k += 1
|
|
||||||
|
|
||||||
else:
|
|
||||||
|
|
||||||
mult = matrix[k][i]/matrix[i][i]
|
|
||||||
matrix[k] = matrix[k] - mult*matrix[i]
|
|
||||||
k += 1
|
|
||||||
|
|
||||||
i += 1
|
|
||||||
k = 0
|
|
||||||
|
|
||||||
i = 0
|
|
||||||
|
|
||||||
while ((i) < matrix.shape[0]) and (matrix[i][i] != 0):
|
|
||||||
|
|
||||||
matrix[i] = matrix[i]/matrix[i][i]
|
|
||||||
i += 1
|
|
||||||
|
|
||||||
return matrix[:,(matrix.shape[0]):]
|
|
||||||
|
|
||||||
def inverse(self, matrix):
|
|
||||||
|
|
||||||
return self.gauss(np.hstack((matrix, self.identity(np.zeros(matrix.shape)))))
|
|
||||||
|
|
||||||
def cholesky(self, A, b):
|
|
||||||
|
|
||||||
g = np.zeros((A.shape))
|
|
||||||
|
|
||||||
i = 0
|
|
||||||
j = 0
|
|
||||||
|
|
||||||
while j < A.shape[1]:
|
|
||||||
while i < A.shape[0]:
|
|
||||||
|
|
||||||
if i == 0 and j == 0:
|
|
||||||
|
|
||||||
g[i][j] = math.sqrt(A[0][0])
|
|
||||||
|
|
||||||
elif j == 0:
|
|
||||||
|
|
||||||
g[i][j] = A[i][0]/g[0][0]
|
|
||||||
|
|
||||||
elif i == j:
|
|
||||||
|
|
||||||
k = 0
|
|
||||||
theta = 0
|
|
||||||
|
|
||||||
while k < i:
|
|
||||||
|
|
||||||
theta += g[i][k]**2
|
|
||||||
k += 1
|
|
||||||
|
|
||||||
g[i][j] = math.sqrt(A[i][i] - theta)
|
|
||||||
|
|
||||||
else:
|
|
||||||
|
|
||||||
k = 0
|
|
||||||
theta = 0
|
|
||||||
|
|
||||||
while k < j:
|
|
||||||
|
|
||||||
theta += g[i][k]*g[j][k]
|
|
||||||
k += 1
|
|
||||||
|
|
||||||
g[i][j] = (A[i][j] - theta)/g[j][j]
|
|
||||||
|
|
||||||
i += 1
|
|
||||||
|
|
||||||
j += 1
|
|
||||||
i = j
|
|
||||||
|
|
||||||
y = (self.inverse(g)).dot(b)
|
|
||||||
|
|
||||||
x = (self.inverse(g.T)).dot(y)
|
|
||||||
|
|
||||||
return x
|
|
||||||
|
|
||||||
def decomposition(self, U, b):
|
|
||||||
|
|
||||||
L = self.identity(np.zeros(U.shape))
|
|
||||||
|
|
||||||
i = 0
|
|
||||||
k = 0
|
|
||||||
|
|
||||||
while (i < U.shape[0]):
|
|
||||||
|
|
||||||
k = 0
|
|
||||||
|
|
||||||
if (U[i][i] == 0):
|
|
||||||
|
|
||||||
n = i
|
|
||||||
|
|
||||||
while (U[i][i] == 0) and (n < U.shape[0]):
|
|
||||||
|
|
||||||
temp = U[i].copy()
|
|
||||||
U[i] = U[n]
|
|
||||||
U[n] = temp
|
|
||||||
|
|
||||||
n += 1
|
|
||||||
|
|
||||||
while (k < U.shape[0]):
|
|
||||||
|
|
||||||
if (k <= i) or (U[i][i] == 0):
|
|
||||||
|
|
||||||
k += 1
|
|
||||||
|
|
||||||
else:
|
|
||||||
L[k][i] = U[k][i]/U[i][i]
|
|
||||||
U[k] = U[k] - L[k][i]*U[i]
|
|
||||||
k += 1
|
|
||||||
|
|
||||||
i += 1
|
|
||||||
|
|
||||||
y = (self.inverse(L)).dot(b)
|
|
||||||
|
|
||||||
x = (self.inverse(U)).dot(y)
|
|
||||||
|
|
||||||
return x
|
|
||||||
|
|
||||||
def cramer(self, A, b):
|
|
||||||
|
|
||||||
x = np.vstack(np.zeros(b.shape))
|
|
||||||
k = 0
|
|
||||||
|
|
||||||
while (k < A.shape[0]):
|
|
||||||
|
|
||||||
temp = A.copy()
|
|
||||||
temp[:,k] = b
|
|
||||||
|
|
||||||
x[k] = np.linalg.det(temp)/np.linalg.det(A)
|
|
||||||
|
|
||||||
k += 1
|
|
||||||
|
|
||||||
return x
|
|
||||||
@@ -1,23 +0,0 @@
|
|||||||
# Seals - Program made for educational intent, can be freely distributed
|
|
||||||
# and can be used for economical intent. I will not take legal actions
|
|
||||||
# unless my intelectual propperty, the code, is stolen or change without permission.
|
|
||||||
|
|
||||||
# Copyright (C) 2020 VItor Hideyoshi Nakazone Batista
|
|
||||||
|
|
||||||
# This program is free software; you can redistribute it and/or modify
|
|
||||||
# it under the terms of the GNU General Public License version 2 as published by
|
|
||||||
# the Free Software Foundation.
|
|
||||||
|
|
||||||
# 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.
|
|
||||||
|
|
||||||
from .Seals import process
|
|
||||||
from .Seals import Insert
|
|
||||||
from .Seals import scan
|
|
||||||
from .Seals import write
|
|
||||||
@@ -1,260 +0,0 @@
|
|||||||
# Seals - Program made for educational intent, can be freely distributed
|
|
||||||
# and can be used for economical intent. I will not take legal actions
|
|
||||||
# unless my intelectual propperty, the code, is stolen or change without permission.
|
|
||||||
|
|
||||||
# Copyright (C) 2020 VItor Hideyoshi Nakazone Batista
|
|
||||||
|
|
||||||
# This program is free software; you can redistribute it and/or modify
|
|
||||||
# it under the terms of the GNU General Public License version 2 as published by
|
|
||||||
# the Free Software Foundation.
|
|
||||||
|
|
||||||
# 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.
|
|
||||||
|
|
||||||
import numpy as np
|
|
||||||
import csv
|
|
||||||
import pandas as pd
|
|
||||||
import math
|
|
||||||
|
|
||||||
def scan(path):
|
|
||||||
|
|
||||||
df=pd.read_csv(path, sep=';',decimal=",",header=None)
|
|
||||||
array = df.to_numpy()
|
|
||||||
|
|
||||||
return array
|
|
||||||
|
|
||||||
def write(array, path):
|
|
||||||
|
|
||||||
with open(path, mode='w') as sistema_linear:
|
|
||||||
|
|
||||||
solution_writer = csv.writer(sistema_linear, delimiter=',', quotechar='"', quoting=csv.QUOTE_MINIMAL)
|
|
||||||
solution_writer.writerows(array)
|
|
||||||
|
|
||||||
return array
|
|
||||||
|
|
||||||
class Insert:
|
|
||||||
|
|
||||||
def __init__(self):
|
|
||||||
pass
|
|
||||||
|
|
||||||
def matrix(self, matrix):
|
|
||||||
|
|
||||||
|
|
||||||
i = 0
|
|
||||||
|
|
||||||
while (i < matrix.shape[0]):
|
|
||||||
|
|
||||||
j = 0
|
|
||||||
|
|
||||||
while (j < matrix.shape[1]):
|
|
||||||
|
|
||||||
matrix[i][j] = float(input('Insira o elemento {}x{}: '.format((i+1),(j+1))))
|
|
||||||
j += 1
|
|
||||||
|
|
||||||
i += 1
|
|
||||||
|
|
||||||
return matrix
|
|
||||||
|
|
||||||
def vector(self, vector):
|
|
||||||
|
|
||||||
j=0
|
|
||||||
|
|
||||||
while (j < vector.shape[0]):
|
|
||||||
|
|
||||||
vector[j] = float(input('Insira o elemento b{}: '.format((j+1))))
|
|
||||||
j += 1
|
|
||||||
|
|
||||||
return vector
|
|
||||||
|
|
||||||
class process:
|
|
||||||
|
|
||||||
def __init__(self):
|
|
||||||
pass
|
|
||||||
|
|
||||||
def identity(self, matrix):
|
|
||||||
|
|
||||||
i = 0
|
|
||||||
|
|
||||||
while (i < matrix.shape[0]):
|
|
||||||
|
|
||||||
j = 0
|
|
||||||
|
|
||||||
while (j < matrix.shape[0]):
|
|
||||||
|
|
||||||
if (i == j):
|
|
||||||
|
|
||||||
matrix[i][j] = 1
|
|
||||||
|
|
||||||
elif (i != j):
|
|
||||||
|
|
||||||
matrix[i][j] = 0
|
|
||||||
|
|
||||||
j += 1
|
|
||||||
|
|
||||||
i += 1
|
|
||||||
|
|
||||||
return matrix
|
|
||||||
|
|
||||||
def gauss(self, matrix):
|
|
||||||
|
|
||||||
i = 0
|
|
||||||
k = 0
|
|
||||||
|
|
||||||
while (i < matrix.shape[0]):
|
|
||||||
|
|
||||||
if (matrix[i][i] == 0):
|
|
||||||
|
|
||||||
n = i
|
|
||||||
|
|
||||||
while (matrix[i][i] == 0) and (n < matrix.shape[0]):
|
|
||||||
|
|
||||||
temp = matrix[i].copy()
|
|
||||||
matrix[i] = matrix[n]
|
|
||||||
matrix[n] = temp
|
|
||||||
|
|
||||||
n += 1
|
|
||||||
|
|
||||||
while (k < matrix.shape[0]):
|
|
||||||
|
|
||||||
if (k == i) or (matrix[i][i] == 0):
|
|
||||||
|
|
||||||
k += 1
|
|
||||||
|
|
||||||
else:
|
|
||||||
|
|
||||||
mult = matrix[k][i]/matrix[i][i]
|
|
||||||
matrix[k] = matrix[k] - mult*matrix[i]
|
|
||||||
k += 1
|
|
||||||
|
|
||||||
i += 1
|
|
||||||
k = 0
|
|
||||||
|
|
||||||
i = 0
|
|
||||||
|
|
||||||
while ((i) < matrix.shape[0]) and (matrix[i][i] != 0):
|
|
||||||
|
|
||||||
matrix[i] = matrix[i]/matrix[i][i]
|
|
||||||
i += 1
|
|
||||||
|
|
||||||
return matrix[:,(matrix.shape[0]):]
|
|
||||||
|
|
||||||
def inverse(self, matrix):
|
|
||||||
|
|
||||||
return self.gauss(np.hstack((matrix, self.identity(np.zeros(matrix.shape)))))
|
|
||||||
|
|
||||||
def cholesky(self, A, b):
|
|
||||||
|
|
||||||
g = np.zeros((A.shape))
|
|
||||||
|
|
||||||
i = 0
|
|
||||||
j = 0
|
|
||||||
|
|
||||||
while j < A.shape[1]:
|
|
||||||
while i < A.shape[0]:
|
|
||||||
|
|
||||||
if i == 0 and j == 0:
|
|
||||||
|
|
||||||
g[i][j] = math.sqrt(A[0][0])
|
|
||||||
|
|
||||||
elif j == 0:
|
|
||||||
|
|
||||||
g[i][j] = A[i][0]/g[0][0]
|
|
||||||
|
|
||||||
elif i == j:
|
|
||||||
|
|
||||||
k = 0
|
|
||||||
theta = 0
|
|
||||||
|
|
||||||
while k < i:
|
|
||||||
|
|
||||||
theta += g[i][k]**2
|
|
||||||
k += 1
|
|
||||||
|
|
||||||
g[i][j] = math.sqrt(A[i][i] - theta)
|
|
||||||
|
|
||||||
else:
|
|
||||||
|
|
||||||
k = 0
|
|
||||||
theta = 0
|
|
||||||
|
|
||||||
while k < j:
|
|
||||||
|
|
||||||
theta += g[i][k]*g[j][k]
|
|
||||||
k += 1
|
|
||||||
|
|
||||||
g[i][j] = (A[i][j] - theta)/g[j][j]
|
|
||||||
|
|
||||||
i += 1
|
|
||||||
|
|
||||||
j += 1
|
|
||||||
i = j
|
|
||||||
|
|
||||||
y = (self.inverse(g)).dot(b)
|
|
||||||
|
|
||||||
x = (self.inverse(g.T)).dot(y)
|
|
||||||
|
|
||||||
return x
|
|
||||||
|
|
||||||
def decomposition(self, U, b):
|
|
||||||
|
|
||||||
L = self.identity(np.zeros(U.shape))
|
|
||||||
|
|
||||||
i = 0
|
|
||||||
k = 0
|
|
||||||
|
|
||||||
while (i < U.shape[0]):
|
|
||||||
|
|
||||||
k = 0
|
|
||||||
|
|
||||||
if (U[i][i] == 0):
|
|
||||||
|
|
||||||
n = i
|
|
||||||
|
|
||||||
while (U[i][i] == 0) and (n < U.shape[0]):
|
|
||||||
|
|
||||||
temp = U[i].copy()
|
|
||||||
U[i] = U[n]
|
|
||||||
U[n] = temp
|
|
||||||
|
|
||||||
n += 1
|
|
||||||
|
|
||||||
while (k < U.shape[0]):
|
|
||||||
|
|
||||||
if (k <= i) or (U[i][i] == 0):
|
|
||||||
|
|
||||||
k += 1
|
|
||||||
|
|
||||||
else:
|
|
||||||
L[k][i] = U[k][i]/U[i][i]
|
|
||||||
U[k] = U[k] - L[k][i]*U[i]
|
|
||||||
k += 1
|
|
||||||
|
|
||||||
i += 1
|
|
||||||
|
|
||||||
y = (self.inverse(L)).dot(b)
|
|
||||||
|
|
||||||
x = (self.inverse(U)).dot(y)
|
|
||||||
|
|
||||||
return x
|
|
||||||
|
|
||||||
def cramer(self, A, b):
|
|
||||||
|
|
||||||
x = np.vstack(np.zeros(b.shape))
|
|
||||||
k = 0
|
|
||||||
|
|
||||||
while (k < A.shape[0]):
|
|
||||||
|
|
||||||
temp = A.copy()
|
|
||||||
temp[:,k] = b
|
|
||||||
|
|
||||||
x[k] = np.linalg.det(temp)/np.linalg.det(A)
|
|
||||||
|
|
||||||
k += 1
|
|
||||||
|
|
||||||
return x
|
|
||||||
@@ -1,23 +0,0 @@
|
|||||||
# Seals - Program made for educational intent, can be freely distributed
|
|
||||||
# and can be used for economical intent. I will not take legal actions
|
|
||||||
# unless my intelectual propperty, the code, is stolen or change without permission.
|
|
||||||
|
|
||||||
# Copyright (C) 2020 VItor Hideyoshi Nakazone Batista
|
|
||||||
|
|
||||||
# This program is free software; you can redistribute it and/or modify
|
|
||||||
# it under the terms of the GNU General Public License version 2 as published by
|
|
||||||
# the Free Software Foundation.
|
|
||||||
|
|
||||||
# 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.
|
|
||||||
|
|
||||||
from .Seals import process
|
|
||||||
from .Seals import Insert
|
|
||||||
from .Seals import scan
|
|
||||||
from .Seals import write
|
|
||||||
Binary file not shown.
Binary file not shown.
@@ -1,27 +0,0 @@
|
|||||||
import setuptools
|
|
||||||
|
|
||||||
with open("README.md", "r") as fh:
|
|
||||||
long_description = fh.read()
|
|
||||||
|
|
||||||
setuptools.setup(
|
|
||||||
name="yoshi-seals",
|
|
||||||
version="1.2",
|
|
||||||
author="Vitor Hideyoshi",
|
|
||||||
author_email="vitor.h.n.batista@gmail.com",
|
|
||||||
description="Numeric Calculus python module in the topic of Linear Algebra",
|
|
||||||
long_description=long_description,
|
|
||||||
long_description_content_type="text/markdown",
|
|
||||||
url="https://github.com/HideyoshiNakazone/Seals-NumericCalculus.git",
|
|
||||||
packages=setuptools.find_packages(),
|
|
||||||
classifiers=[
|
|
||||||
"Programming Language :: Python :: 3",
|
|
||||||
"License :: OSI Approved :: GNU General Public License v2 (GPLv2)",
|
|
||||||
"Operating System :: OS Independent",
|
|
||||||
"Development Status :: 2 - Pre-Alpha",
|
|
||||||
],
|
|
||||||
python_requires='>=3.6',
|
|
||||||
install_requires=[
|
|
||||||
'numpy',
|
|
||||||
'pandas',
|
|
||||||
],
|
|
||||||
)
|
|
||||||
@@ -1,69 +0,0 @@
|
|||||||
Metadata-Version: 2.1
|
|
||||||
Name: yoshi-seals
|
|
||||||
Version: 1.2
|
|
||||||
Summary: Numeric Calculus python module in the topic of Linear Algebra
|
|
||||||
Home-page: https://github.com/HideyoshiNakazone/Seals-NumericCalculus.git
|
|
||||||
Author: Vitor Hideyoshi
|
|
||||||
Author-email: vitor.h.n.batista@gmail.com
|
|
||||||
License: UNKNOWN
|
|
||||||
Description: # Seals - Numeric Calculus
|
|
||||||
|
|
||||||
This python package is made for applied Numeric Calculus of Linear Algebra. It is made with the following objectives in mind:
|
|
||||||
|
|
||||||
* Scan *csv* files to make a numpy matrix.
|
|
||||||
|
|
||||||
* Write a matrix into a *csv* file
|
|
||||||
|
|
||||||
* Insert user input into a matrix or a vector.
|
|
||||||
|
|
||||||
* Use methods to proccess the matrices.
|
|
||||||
* Identity Matrix
|
|
||||||
* Gauss Elimination
|
|
||||||
* Inverse Matrix
|
|
||||||
* Cholesky Decomposition
|
|
||||||
* LU Decomposition
|
|
||||||
* Cramer
|
|
||||||
|
|
||||||
## Syntax
|
|
||||||
|
|
||||||
The function *scan* has the following syntax `scan(path)`, where `path` is the path to your directory.
|
|
||||||
|
|
||||||
The function *solution* has the following syntax `write(array,path)`, where `array` is the matrix that you desire to output and `path` is the path to your directory.
|
|
||||||
|
|
||||||
The python class *Insert* has a method for *matrix* and another for *vector*, and it has the following syntax `Insert.method(array)`, where `Insert` is the *Python Class* and `method` is either a `matrix` or a `vector` and `array` is either a *matrix* or a *vector*.
|
|
||||||
|
|
||||||
### Processes
|
|
||||||
|
|
||||||
The python class *process* has all the methods described in the first session.
|
|
||||||
|
|
||||||
To call the method use a syntax like `sl = Seals.process()`, where `sl` is an instance and to use a method you have to append the method in front of the instance like: `sl.identity(array)`.
|
|
||||||
|
|
||||||
* The method *identity* returns a *numpy* identity matrix of the order of the matrix passed into to it, and it has the following syntax `sl.identity(array)`, which `array` is a square matrix.
|
|
||||||
|
|
||||||
* The method *gauss* returns a *numpy* vector containing the vector of variables from the augmented matrix. `sl.gauss(matrix)`, which `matrix` is the augmented matrix.
|
|
||||||
|
|
||||||
* The method *inverse* returns a *numpy* inverse matrix of the matrix passed into to it, and it has the following syntax `sl.inverse(matrix)`, which `matrix` is a square matrix.
|
|
||||||
|
|
||||||
* The method *cholesky* returns a *numpy* vector containing the vector of variables from the coefficient matrix and the constants vector, and it has the following syntax `sl.cholesky(A,b)`, which `A` is the coefficient matrix and `b` is the constants vector.
|
|
||||||
|
|
||||||
* The method *decomposition* returns a *numpy* vector containing the vector of variables from the coefficient matrix and the constants vector, and it has the following syntax `sl.cholesky(A,b)`, which `A` is the coefficient matrix and `b` is the constants vector.
|
|
||||||
|
|
||||||
* The method *cramer* returns a *numpy* vector containing the vector of variables from the coefficient matrix and the constants vector, and it has the following syntax `sl.cholesky(A,b)`, which `A` is the coefficient matrix and `b` is the constants vector.
|
|
||||||
|
|
||||||
## Installation
|
|
||||||
|
|
||||||
To install the package from source `cd` into the directory and run:
|
|
||||||
|
|
||||||
`pip install .`
|
|
||||||
|
|
||||||
or run
|
|
||||||
|
|
||||||
`pip install yoshi-seals`
|
|
||||||
|
|
||||||
Platform: UNKNOWN
|
|
||||||
Classifier: Programming Language :: Python :: 3
|
|
||||||
Classifier: License :: OSI Approved :: GNU General Public License v2 (GPLv2)
|
|
||||||
Classifier: Operating System :: OS Independent
|
|
||||||
Classifier: Development Status :: 2 - Pre-Alpha
|
|
||||||
Requires-Python: >=3.6
|
|
||||||
Description-Content-Type: text/markdown
|
|
||||||
@@ -1,9 +0,0 @@
|
|||||||
README.md
|
|
||||||
setup.py
|
|
||||||
Seals/Seals.py
|
|
||||||
Seals/__init__.py
|
|
||||||
yoshi_seals.egg-info/PKG-INFO
|
|
||||||
yoshi_seals.egg-info/SOURCES.txt
|
|
||||||
yoshi_seals.egg-info/dependency_links.txt
|
|
||||||
yoshi_seals.egg-info/requires.txt
|
|
||||||
yoshi_seals.egg-info/top_level.txt
|
|
||||||
@@ -1,2 +0,0 @@
|
|||||||
numpy
|
|
||||||
pandas
|
|
||||||
@@ -1 +0,0 @@
|
|||||||
Seals
|
|
||||||
Binary file not shown.
@@ -1,278 +0,0 @@
|
|||||||
GNU GENERAL PUBLIC LICENSE
|
|
||||||
Version 2, June 1991
|
|
||||||
|
|
||||||
Copyright (C) 1989, 1991 Free Software Foundation, Inc.,
|
|
||||||
51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
|
|
||||||
Everyone is permitted to copy and distribute verbatim copies
|
|
||||||
of this license document, but changing it is not allowed.
|
|
||||||
|
|
||||||
Preamble
|
|
||||||
|
|
||||||
The licenses for most software are designed to take away your
|
|
||||||
freedom to share and change it. By contrast, the GNU General Public
|
|
||||||
License is intended to guarantee your freedom to share and change free
|
|
||||||
software--to make sure the software is free for all its users. This
|
|
||||||
General Public License applies to most of the Free Software
|
|
||||||
Foundation's software and to any other program whose authors commit to
|
|
||||||
using it. (Some other Free Software Foundation software is covered by
|
|
||||||
the GNU Lesser General Public License instead.) You can apply it to
|
|
||||||
your programs, too.
|
|
||||||
|
|
||||||
When we speak of free software, we are referring to freedom, not
|
|
||||||
price. Our General Public Licenses are designed to make sure that you
|
|
||||||
have the freedom to distribute copies of free software (and charge for
|
|
||||||
this service if you wish), that you receive source code or can get it
|
|
||||||
if you want it, that you can change the software or use pieces of it
|
|
||||||
in new free programs; and that you know you can do these things.
|
|
||||||
|
|
||||||
To protect your rights, we need to make restrictions that forbid
|
|
||||||
anyone to deny you these rights or to ask you to surrender the rights.
|
|
||||||
These restrictions translate to certain responsibilities for you if you
|
|
||||||
distribute copies of the software, or if you modify it.
|
|
||||||
|
|
||||||
For example, if you distribute copies of such a program, whether
|
|
||||||
gratis or for a fee, you must give the recipients all the rights that
|
|
||||||
you have. 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.
|
|
||||||
|
|
||||||
We protect your rights with two steps: (1) copyright the software, and
|
|
||||||
(2) offer you this license which gives you legal permission to copy,
|
|
||||||
distribute and/or modify the software.
|
|
||||||
|
|
||||||
Also, for each author's protection and ours, we want to make certain
|
|
||||||
that everyone understands that there is no warranty for this free
|
|
||||||
software. If the software is modified by someone else and passed on, we
|
|
||||||
want its recipients to know that what they have is not the original, so
|
|
||||||
that any problems introduced by others will not reflect on the original
|
|
||||||
authors' reputations.
|
|
||||||
|
|
||||||
Finally, any free program is threatened constantly by software
|
|
||||||
patents. We wish to avoid the danger that redistributors of a free
|
|
||||||
program will individually obtain patent licenses, in effect making the
|
|
||||||
program proprietary. To prevent this, we have made it clear that any
|
|
||||||
patent must be licensed for everyone's free use or not licensed at all.
|
|
||||||
|
|
||||||
The precise terms and conditions for copying, distribution and
|
|
||||||
modification follow.
|
|
||||||
|
|
||||||
GNU GENERAL PUBLIC LICENSE
|
|
||||||
TERMS AND CONDITIONS FOR COPYING, DISTRIBUTION AND MODIFICATION
|
|
||||||
|
|
||||||
0. This License applies to any program or other work which contains
|
|
||||||
a notice placed by the copyright holder saying it may be distributed
|
|
||||||
under the terms of this General Public License. The "Program", below,
|
|
||||||
refers to any such program or work, and a "work based on the Program"
|
|
||||||
means either the Program or any derivative work under copyright law:
|
|
||||||
that is to say, a work containing the Program or a portion of it,
|
|
||||||
either verbatim or with modifications and/or translated into another
|
|
||||||
language. (Hereinafter, translation is included without limitation in
|
|
||||||
the term "modification".) Each licensee is addressed as "you".
|
|
||||||
|
|
||||||
Activities other than copying, distribution and modification are not
|
|
||||||
covered by this License; they are outside its scope. The act of
|
|
||||||
running the Program is not restricted, and the output from the Program
|
|
||||||
is covered only if its contents constitute a work based on the
|
|
||||||
Program (independent of having been made by running the Program).
|
|
||||||
Whether that is true depends on what the Program does.
|
|
||||||
|
|
||||||
1. You may copy and distribute verbatim copies of the Program's
|
|
||||||
source code as you receive it, in any medium, provided that you
|
|
||||||
conspicuously and appropriately publish on each copy an appropriate
|
|
||||||
copyright notice and disclaimer of warranty; keep intact all the
|
|
||||||
notices that refer to this License and to the absence of any warranty;
|
|
||||||
and give any other recipients of the Program a copy of this License
|
|
||||||
along with the Program.
|
|
||||||
|
|
||||||
You may charge a fee for the physical act of transferring a copy, and
|
|
||||||
you may at your option offer warranty protection in exchange for a fee.
|
|
||||||
|
|
||||||
2. You may modify your copy or copies of the Program or any portion
|
|
||||||
of it, thus forming a work based on the Program, and copy and
|
|
||||||
distribute such modifications or work under the terms of Section 1
|
|
||||||
above, provided that you also meet all of these conditions:
|
|
||||||
|
|
||||||
a) You must cause the modified files to carry prominent notices
|
|
||||||
stating that you changed the files and the date of any change.
|
|
||||||
|
|
||||||
b) You must cause any work that you distribute or publish, that in
|
|
||||||
whole or in part contains or is derived from the Program or any
|
|
||||||
part thereof, to be licensed as a whole at no charge to all third
|
|
||||||
parties under the terms of this License.
|
|
||||||
|
|
||||||
c) If the modified program normally reads commands interactively
|
|
||||||
when run, you must cause it, when started running for such
|
|
||||||
interactive use in the most ordinary way, to print or display an
|
|
||||||
announcement including an appropriate copyright notice and a
|
|
||||||
notice that there is no warranty (or else, saying that you provide
|
|
||||||
a warranty) and that users may redistribute the program under
|
|
||||||
these conditions, and telling the user how to view a copy of this
|
|
||||||
License. (Exception: if the Program itself is interactive but
|
|
||||||
does not normally print such an announcement, your work based on
|
|
||||||
the Program is not required to print an announcement.)
|
|
||||||
|
|
||||||
These requirements apply to the modified work as a whole. If
|
|
||||||
identifiable sections of that work are not derived from the Program,
|
|
||||||
and can be reasonably considered independent and separate works in
|
|
||||||
themselves, then this License, and its terms, do not apply to those
|
|
||||||
sections when you distribute them as separate works. But when you
|
|
||||||
distribute the same sections as part of a whole which is a work based
|
|
||||||
on the Program, the distribution of the whole must be on the terms of
|
|
||||||
this License, whose permissions for other licensees extend to the
|
|
||||||
entire whole, and thus to each and every part regardless of who wrote it.
|
|
||||||
|
|
||||||
Thus, it is not the intent of this section to claim rights or contest
|
|
||||||
your rights to work written entirely by you; rather, the intent is to
|
|
||||||
exercise the right to control the distribution of derivative or
|
|
||||||
collective works based on the Program.
|
|
||||||
|
|
||||||
In addition, mere aggregation of another work not based on the Program
|
|
||||||
with the Program (or with a work based on the Program) on a volume of
|
|
||||||
a storage or distribution medium does not bring the other work under
|
|
||||||
the scope of this License.
|
|
||||||
|
|
||||||
3. You may copy and distribute the Program (or a work based on it,
|
|
||||||
under Section 2) in object code or executable form under the terms of
|
|
||||||
Sections 1 and 2 above provided that you also do one of the following:
|
|
||||||
|
|
||||||
a) Accompany it with the complete corresponding machine-readable
|
|
||||||
source code, which must be distributed under the terms of Sections
|
|
||||||
1 and 2 above on a medium customarily used for software interchange; or,
|
|
||||||
|
|
||||||
b) Accompany it with a written offer, valid for at least three
|
|
||||||
years, to give any third party, for a charge no more than your
|
|
||||||
cost of physically performing source distribution, a complete
|
|
||||||
machine-readable copy of the corresponding source code, to be
|
|
||||||
distributed under the terms of Sections 1 and 2 above on a medium
|
|
||||||
customarily used for software interchange; or,
|
|
||||||
|
|
||||||
c) Accompany it with the information you received as to the offer
|
|
||||||
to distribute corresponding source code. (This alternative is
|
|
||||||
allowed only for noncommercial distribution and only if you
|
|
||||||
received the program in object code or executable form with such
|
|
||||||
an offer, in accord with Subsection b above.)
|
|
||||||
|
|
||||||
The source code for a work means the preferred form of the work for
|
|
||||||
making modifications to it. For an executable work, complete source
|
|
||||||
code means all the source code for all modules it contains, plus any
|
|
||||||
associated interface definition files, plus the scripts used to
|
|
||||||
control compilation and installation of the executable. However, as a
|
|
||||||
special exception, the source code distributed need not include
|
|
||||||
anything that is normally distributed (in either source or binary
|
|
||||||
form) with the major components (compiler, kernel, and so on) of the
|
|
||||||
operating system on which the executable runs, unless that component
|
|
||||||
itself accompanies the executable.
|
|
||||||
|
|
||||||
If distribution of executable or object code is made by offering
|
|
||||||
access to copy from a designated place, then offering equivalent
|
|
||||||
access to copy the source code from the same place counts as
|
|
||||||
distribution of the source code, even though third parties are not
|
|
||||||
compelled to copy the source along with the object code.
|
|
||||||
|
|
||||||
4. You may not copy, modify, sublicense, or distribute the Program
|
|
||||||
except as expressly provided under this License. Any attempt
|
|
||||||
otherwise to copy, modify, sublicense or distribute the Program is
|
|
||||||
void, and will automatically terminate your rights under this License.
|
|
||||||
However, parties who have received copies, or rights, from you under
|
|
||||||
this License will not have their licenses terminated so long as such
|
|
||||||
parties remain in full compliance.
|
|
||||||
|
|
||||||
5. You are not required to accept this License, since you have not
|
|
||||||
signed it. However, nothing else grants you permission to modify or
|
|
||||||
distribute the Program or its derivative works. These actions are
|
|
||||||
prohibited by law if you do not accept this License. Therefore, by
|
|
||||||
modifying or distributing the Program (or any work based on the
|
|
||||||
Program), you indicate your acceptance of this License to do so, and
|
|
||||||
all its terms and conditions for copying, distributing or modifying
|
|
||||||
the Program or works based on it.
|
|
||||||
|
|
||||||
6. Each time you redistribute the Program (or any work based on the
|
|
||||||
Program), the recipient automatically receives a license from the
|
|
||||||
original licensor to copy, distribute or modify the Program subject to
|
|
||||||
these terms and conditions. You may not impose any further
|
|
||||||
restrictions on the recipients' exercise of the rights granted herein.
|
|
||||||
You are not responsible for enforcing compliance by third parties to
|
|
||||||
this License.
|
|
||||||
|
|
||||||
7. If, as a consequence of a court judgment or allegation of patent
|
|
||||||
infringement or for any other reason (not limited to patent issues),
|
|
||||||
conditions are imposed on you (whether by court order, agreement or
|
|
||||||
otherwise) that contradict the conditions of this License, they do not
|
|
||||||
excuse you from the conditions of this License. If you cannot
|
|
||||||
distribute so as to satisfy simultaneously your obligations under this
|
|
||||||
License and any other pertinent obligations, then as a consequence you
|
|
||||||
may not distribute the Program at all. For example, if a patent
|
|
||||||
license would not permit royalty-free redistribution of the Program by
|
|
||||||
all those who receive copies directly or indirectly through you, then
|
|
||||||
the only way you could satisfy both it and this License would be to
|
|
||||||
refrain entirely from distribution of the Program.
|
|
||||||
|
|
||||||
If any portion of this section is held invalid or unenforceable under
|
|
||||||
any particular circumstance, the balance of the section is intended to
|
|
||||||
apply and the section as a whole is intended to apply in other
|
|
||||||
circumstances.
|
|
||||||
|
|
||||||
It is not the purpose of this section to induce you to infringe any
|
|
||||||
patents or other property right claims or to contest validity of any
|
|
||||||
such claims; this section has the sole purpose of protecting the
|
|
||||||
integrity of the free software distribution system, which is
|
|
||||||
implemented by public license practices. Many people have made
|
|
||||||
generous contributions to the wide range of software distributed
|
|
||||||
through that system in reliance on consistent application of that
|
|
||||||
system; it is up to the author/donor to decide if he or she is willing
|
|
||||||
to distribute software through any other system and a licensee cannot
|
|
||||||
impose that choice.
|
|
||||||
|
|
||||||
This section is intended to make thoroughly clear what is believed to
|
|
||||||
be a consequence of the rest of this License.
|
|
||||||
|
|
||||||
8. If the distribution and/or use of the Program is restricted in
|
|
||||||
certain countries either by patents or by copyrighted interfaces, the
|
|
||||||
original copyright holder who places the Program under this License
|
|
||||||
may add an explicit geographical distribution limitation excluding
|
|
||||||
those countries, so that distribution is permitted only in or among
|
|
||||||
countries not thus excluded. In such case, this License incorporates
|
|
||||||
the limitation as if written in the body of this License.
|
|
||||||
|
|
||||||
9. The Free Software Foundation may publish revised and/or new versions
|
|
||||||
of the General Public License from time to time. Such new versions will
|
|
||||||
be similar in spirit to the present version, but may differ in detail to
|
|
||||||
address new problems or concerns.
|
|
||||||
|
|
||||||
Each version is given a distinguishing version number. If the Program
|
|
||||||
specifies a version number of this License which applies to it and "any
|
|
||||||
later version", you have the option of following the terms and conditions
|
|
||||||
either of that version or of any later version published by the Free
|
|
||||||
Software Foundation. If the Program does not specify a version number of
|
|
||||||
this License, you may choose any version ever published by the Free Software
|
|
||||||
Foundation.
|
|
||||||
|
|
||||||
10. If you wish to incorporate parts of the Program into other free
|
|
||||||
programs whose distribution conditions are different, write to the author
|
|
||||||
to ask for permission. For software which is copyrighted by the Free
|
|
||||||
Software Foundation, write to the Free Software Foundation; we sometimes
|
|
||||||
make exceptions for this. Our decision will be guided by the two goals
|
|
||||||
of preserving the free status of all derivatives of our free software and
|
|
||||||
of promoting the sharing and reuse of software generally.
|
|
||||||
|
|
||||||
NO WARRANTY
|
|
||||||
|
|
||||||
11. BECAUSE THE PROGRAM IS LICENSED FREE OF CHARGE, THERE IS NO WARRANTY
|
|
||||||
FOR THE PROGRAM, TO THE EXTENT PERMITTED BY APPLICABLE LAW. EXCEPT WHEN
|
|
||||||
OTHERWISE STATED IN WRITING THE COPYRIGHT HOLDERS AND/OR OTHER PARTIES
|
|
||||||
PROVIDE THE PROGRAM "AS IS" WITHOUT WARRANTY OF ANY KIND, EITHER EXPRESSED
|
|
||||||
OR IMPLIED, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
|
|
||||||
MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE. THE ENTIRE RISK AS
|
|
||||||
TO THE QUALITY AND PERFORMANCE OF THE PROGRAM IS WITH YOU. SHOULD THE
|
|
||||||
PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF ALL NECESSARY SERVICING,
|
|
||||||
REPAIR OR CORRECTION.
|
|
||||||
|
|
||||||
12. IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING
|
|
||||||
WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MAY MODIFY AND/OR
|
|
||||||
REDISTRIBUTE THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES,
|
|
||||||
INCLUDING ANY GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING
|
|
||||||
OUT OF THE USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED
|
|
||||||
TO LOSS OF DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY
|
|
||||||
YOU OR THIRD PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER
|
|
||||||
PROGRAMS), EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE
|
|
||||||
POSSIBILITY OF SUCH DAMAGES.
|
|
||||||
@@ -1,55 +0,0 @@
|
|||||||
# Seals - Numeric Calculus
|
|
||||||
|
|
||||||
This python package is made for applied Numeric Calculus of Linear Algebra. It is made with the following objectives in mind:
|
|
||||||
|
|
||||||
* Scan *csv* files to make a numpy matrix.
|
|
||||||
|
|
||||||
* Write a matrix into a *csv* file
|
|
||||||
|
|
||||||
* Insert user input into a matrix or a vector.
|
|
||||||
|
|
||||||
* Calculate Eigen Values
|
|
||||||
|
|
||||||
* Use methods to proccess the matrices.
|
|
||||||
* Identity Matrix
|
|
||||||
* Gauss Elimination
|
|
||||||
* Inverse Matrix
|
|
||||||
* Cholesky Decomposition
|
|
||||||
* LU Decomposition
|
|
||||||
* Cramer
|
|
||||||
|
|
||||||
## Syntax
|
|
||||||
|
|
||||||
The module *scan* has a function for *Numpy* arrays and *Pandas* dataframes, and used the following syntax `Seals.scan.np(path)` for *Numpy* and `Seals.scan.pd(path)` for *Pandas*, where `path` is the path to your directory.
|
|
||||||
|
|
||||||
The module *write* has a function for *Numpy* arrays and *Pandas* dataframes, and uses the following syntax `Seals.write.np(array,path)` for *Numpy*, where `array` is the matrix that you desire to output and `path` is the path to your directory, and `Seals.write.pd(df,path)` for *Pandas*, where `df` is the matrix that you desire to output and `path` is the path to your directory.
|
|
||||||
|
|
||||||
The module *insert* has a function for *matrix* and another for *vector*, and it has the following syntax `Seals.insert.function(array)`, where `insert` is the *Python Module* and `function` is either a `matrix` or a `vector` and `array` is either a *matrix* or a *vector*.
|
|
||||||
|
|
||||||
There is also a function that given a matrix it return all real eigen values
|
|
||||||
|
|
||||||
### Processes
|
|
||||||
|
|
||||||
To call the module `process` use the syntax: `sl = Seals.process`, where `sl` is an instance and to use a function you have to append the desired function in front of the instance like: `sl.identity(array)`.
|
|
||||||
|
|
||||||
* The function *identity* returns a *numpy* identity matrix of the order of the matrix passed into to it, and it has the following syntax `sl.identity(array)`, which `array` is a square matrix.
|
|
||||||
|
|
||||||
* The function *gauss* returns a *numpy* vector containing the vector of variables from the augmented matrix. `sl.gauss(matrix)`, which `matrix` is the augmented matrix.
|
|
||||||
|
|
||||||
* The function *inverse* returns a *numpy* inverse matrix of the matrix passed into to it, and it has the following syntax `sl.inverse(matrix)`, which `matrix` is a square matrix.
|
|
||||||
|
|
||||||
* The function *cholesky* returns a *numpy* vector containing the vector of variables from the coefficient matrix and the constants vector, and it has the following syntax `sl.cholesky(A,b)`, which `A` is the coefficient matrix and `b` is the constants vector.
|
|
||||||
|
|
||||||
* The function *decomposition* returns a *numpy* vector containing the vector of variables from the coefficient matrix and the constants vector, and it has the following syntax `sl.cholesky(A,b)`, which `A` is the coefficient matrix and `b` is the constants vector.
|
|
||||||
|
|
||||||
* The function *cramer* returns a *numpy* vector containing the vector of variables from the coefficient matrix and the constants vector, and it has the following syntax `sl.cholesky(A,b)`, which `A` is the coefficient matrix and `b` is the constants vector.
|
|
||||||
|
|
||||||
## Installation
|
|
||||||
|
|
||||||
To install the package from source `cd` into the directory and run:
|
|
||||||
|
|
||||||
`pip install .`
|
|
||||||
|
|
||||||
or run
|
|
||||||
|
|
||||||
`pip install yoshi-seals`
|
|
||||||
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@@ -1,46 +0,0 @@
|
|||||||
# Seals - Program made for educational intent, can be freely distributed
|
|
||||||
# and can be used for economical intent. I will not take legal actions
|
|
||||||
# unless my intelectual propperty, the code, is stolen or change without permission.
|
|
||||||
|
|
||||||
# Copyright (C) 2020 VItor Hideyoshi Nakazone Batista
|
|
||||||
|
|
||||||
# This program is free software; you can redistribute it and/or modify
|
|
||||||
# it under the terms of the GNU General Public License version 2 as published by
|
|
||||||
# the Free Software Foundation.
|
|
||||||
|
|
||||||
# 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.
|
|
||||||
|
|
||||||
def matrix(matrix):
|
|
||||||
|
|
||||||
i = 0
|
|
||||||
|
|
||||||
while (i < matrix.shape[0]):
|
|
||||||
|
|
||||||
j = 0
|
|
||||||
|
|
||||||
while (j < matrix.shape[1]):
|
|
||||||
|
|
||||||
matrix[i][j] = float(input('Insira o elemento {}x{}: '.format((i+1),(j+1))))
|
|
||||||
j += 1
|
|
||||||
|
|
||||||
i += 1
|
|
||||||
|
|
||||||
return matrix
|
|
||||||
|
|
||||||
def vector(vector):
|
|
||||||
|
|
||||||
j=0
|
|
||||||
|
|
||||||
while (j < vector.shape[0]):
|
|
||||||
|
|
||||||
vector[j] = float(input('Insira o elemento b{}: '.format((j+1))))
|
|
||||||
j += 1
|
|
||||||
|
|
||||||
return vector
|
|
||||||
@@ -1,25 +0,0 @@
|
|||||||
# Seals - Program made for educational intent, can be freely distributed
|
|
||||||
# and can be used for economical intent. I will not take legal actions
|
|
||||||
# unless my intelectual propperty, the code, is stolen or change without permission.
|
|
||||||
|
|
||||||
# Copyright (C) 2020 VItor Hideyoshi Nakazone Batista
|
|
||||||
|
|
||||||
# This program is free software; you can redistribute it and/or modify
|
|
||||||
# it under the terms of the GNU General Public License version 2 as published by
|
|
||||||
# the Free Software Foundation.
|
|
||||||
|
|
||||||
# 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.
|
|
||||||
|
|
||||||
from .process import identity
|
|
||||||
from .process import gauss
|
|
||||||
from .process import inverse
|
|
||||||
from .process import cholesky
|
|
||||||
from .process import decomposition
|
|
||||||
from .process import cramer
|
|
||||||
Binary file not shown.
Binary file not shown.
@@ -1,203 +0,0 @@
|
|||||||
# Seals - Program made for educational intent, can be freely distributed
|
|
||||||
# and can be used for economical intent. I will not take legal actions
|
|
||||||
# unless my intelectual propperty, the code, is stolen or change without permission.
|
|
||||||
|
|
||||||
# Copyright (C) 2020 VItor Hideyoshi Nakazone Batista
|
|
||||||
|
|
||||||
# This program is free software; you can redistribute it and/or modify
|
|
||||||
# it under the terms of the GNU General Public License version 2 as published by
|
|
||||||
# the Free Software Foundation.
|
|
||||||
|
|
||||||
# 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.
|
|
||||||
|
|
||||||
import numpy as np
|
|
||||||
import math
|
|
||||||
|
|
||||||
def identity(matrix):
|
|
||||||
|
|
||||||
i = 0
|
|
||||||
|
|
||||||
while (i < matrix.shape[0]):
|
|
||||||
|
|
||||||
j = 0
|
|
||||||
|
|
||||||
while (j < matrix.shape[0]):
|
|
||||||
|
|
||||||
if (i == j):
|
|
||||||
|
|
||||||
matrix[i][j] = 1
|
|
||||||
|
|
||||||
elif (i != j):
|
|
||||||
|
|
||||||
matrix[i][j] = 0
|
|
||||||
|
|
||||||
j += 1
|
|
||||||
|
|
||||||
i += 1
|
|
||||||
|
|
||||||
return matrix
|
|
||||||
|
|
||||||
def gauss(matrix):
|
|
||||||
|
|
||||||
i = 0
|
|
||||||
k = 0
|
|
||||||
|
|
||||||
while (i < matrix.shape[0]):
|
|
||||||
|
|
||||||
if (matrix[i][i] == 0):
|
|
||||||
|
|
||||||
n = i
|
|
||||||
|
|
||||||
while (matrix[i][i] == 0) and (n < matrix.shape[0]):
|
|
||||||
|
|
||||||
temp = matrix[i].copy()
|
|
||||||
matrix[i] = matrix[n]
|
|
||||||
matrix[n] = temp
|
|
||||||
|
|
||||||
n += 1
|
|
||||||
|
|
||||||
while (k < matrix.shape[0]):
|
|
||||||
|
|
||||||
if (k == i) or (matrix[i][i] == 0):
|
|
||||||
|
|
||||||
k += 1
|
|
||||||
|
|
||||||
else:
|
|
||||||
|
|
||||||
mult = matrix[k][i]/matrix[i][i]
|
|
||||||
matrix[k] = matrix[k] - mult*matrix[i]
|
|
||||||
k += 1
|
|
||||||
|
|
||||||
i += 1
|
|
||||||
k = 0
|
|
||||||
|
|
||||||
i = 0
|
|
||||||
|
|
||||||
while ((i) < matrix.shape[0]) and (matrix[i][i] != 0):
|
|
||||||
|
|
||||||
matrix[i] = matrix[i]/matrix[i][i]
|
|
||||||
i += 1
|
|
||||||
|
|
||||||
return matrix[:,(matrix.shape[0]):]
|
|
||||||
|
|
||||||
def inverse(matrix):
|
|
||||||
|
|
||||||
return gauss(np.hstack((matrix, identity(np.zeros(matrix.shape)))))
|
|
||||||
|
|
||||||
def cholesky(A, b):
|
|
||||||
|
|
||||||
g = np.zeros((A.shape))
|
|
||||||
|
|
||||||
i = 0
|
|
||||||
j = 0
|
|
||||||
|
|
||||||
while j < A.shape[1]:
|
|
||||||
while i < A.shape[0]:
|
|
||||||
|
|
||||||
if i == 0 and j == 0:
|
|
||||||
|
|
||||||
g[i][j] = math.sqrt(A[0][0])
|
|
||||||
|
|
||||||
elif j == 0:
|
|
||||||
|
|
||||||
g[i][j] = A[i][0]/g[0][0]
|
|
||||||
|
|
||||||
elif i == j:
|
|
||||||
|
|
||||||
k = 0
|
|
||||||
theta = 0
|
|
||||||
|
|
||||||
while k < i:
|
|
||||||
|
|
||||||
theta += g[i][k]**2
|
|
||||||
k += 1
|
|
||||||
|
|
||||||
g[i][j] = math.sqrt(A[i][i] - theta)
|
|
||||||
|
|
||||||
else:
|
|
||||||
|
|
||||||
k = 0
|
|
||||||
theta = 0
|
|
||||||
|
|
||||||
while k < j:
|
|
||||||
|
|
||||||
theta += g[i][k]*g[j][k]
|
|
||||||
k += 1
|
|
||||||
|
|
||||||
g[i][j] = (A[i][j] - theta)/g[j][j]
|
|
||||||
|
|
||||||
i += 1
|
|
||||||
|
|
||||||
j += 1
|
|
||||||
i = j
|
|
||||||
|
|
||||||
y = (inverse(g)).dot(b)
|
|
||||||
|
|
||||||
x = (inverse(g.T)).dot(y)
|
|
||||||
|
|
||||||
return x
|
|
||||||
|
|
||||||
def decomposition(U, b):
|
|
||||||
|
|
||||||
L = identity(np.zeros(U.shape))
|
|
||||||
|
|
||||||
i = 0
|
|
||||||
k = 0
|
|
||||||
|
|
||||||
while (i < U.shape[0]):
|
|
||||||
|
|
||||||
k = 0
|
|
||||||
|
|
||||||
if (U[i][i] == 0):
|
|
||||||
|
|
||||||
n = i
|
|
||||||
|
|
||||||
while (U[i][i] == 0) and (n < U.shape[0]):
|
|
||||||
|
|
||||||
temp = U[i].copy()
|
|
||||||
U[i] = U[n]
|
|
||||||
U[n] = temp
|
|
||||||
|
|
||||||
n += 1
|
|
||||||
|
|
||||||
while (k < U.shape[0]):
|
|
||||||
|
|
||||||
if (k <= i) or (U[i][i] == 0):
|
|
||||||
|
|
||||||
k += 1
|
|
||||||
|
|
||||||
else:
|
|
||||||
L[k][i] = U[k][i]/U[i][i]
|
|
||||||
U[k] = U[k] - L[k][i]*U[i]
|
|
||||||
k += 1
|
|
||||||
|
|
||||||
i += 1
|
|
||||||
|
|
||||||
y = (inverse(L)).dot(b)
|
|
||||||
|
|
||||||
x = (inverse(U)).dot(y)
|
|
||||||
|
|
||||||
return x
|
|
||||||
|
|
||||||
def cramer(A, b):
|
|
||||||
|
|
||||||
x = np.vstack(np.zeros(b.shape))
|
|
||||||
k = 0
|
|
||||||
|
|
||||||
while (k < A.shape[0]):
|
|
||||||
|
|
||||||
temp = A.copy()
|
|
||||||
temp[:,k] = b
|
|
||||||
|
|
||||||
x[k] = np.linalg.det(temp)/np.linalg.det(A)
|
|
||||||
|
|
||||||
k += 1
|
|
||||||
|
|
||||||
return x
|
|
||||||
Binary file not shown.
Binary file not shown.
Binary file not shown.
Binary file not shown.
@@ -1,18 +0,0 @@
|
|||||||
# Seals - Program made for educational intent, can be freely distributed
|
|
||||||
# and can be used for economical intent. I will not take legal actions
|
|
||||||
# unless my intelectual propperty, the code, is stolen or change without permission.
|
|
||||||
|
|
||||||
# Copyright (C) 2020 VItor Hideyoshi Nakazone Batista
|
|
||||||
|
|
||||||
# This program is free software; you can redistribute it and/or modify
|
|
||||||
# it under the terms of the GNU General Public License version 2 as published by
|
|
||||||
# the Free Software Foundation.
|
|
||||||
|
|
||||||
# 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.
|
|
||||||
@@ -1,20 +0,0 @@
|
|||||||
# Seals - Program made for educational intent, can be freely distributed
|
|
||||||
# and can be used for economical intent. I will not take legal actions
|
|
||||||
# unless my intelectual propperty, the code, is stolen or change without permission.
|
|
||||||
|
|
||||||
# Copyright (C) 2020 VItor Hideyoshi Nakazone Batista
|
|
||||||
|
|
||||||
# This program is free software; you can redistribute it and/or modify
|
|
||||||
# it under the terms of the GNU General Public License version 2 as published by
|
|
||||||
# the Free Software Foundation.
|
|
||||||
|
|
||||||
# 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.
|
|
||||||
|
|
||||||
from .eigen import eigen
|
|
||||||
@@ -1,51 +0,0 @@
|
|||||||
# Seals - Program made for educational intent, can be freely distributed
|
|
||||||
# and can be used for economical intent. I will not take legal actions
|
|
||||||
# unless my intelectual propperty, the code, is stolen or change without permission.
|
|
||||||
|
|
||||||
# Copyright (C) 2020 VItor Hideyoshi Nakazone Batista
|
|
||||||
|
|
||||||
# This program is free software; you can redistribute it and/or modify
|
|
||||||
# it under the terms of the GNU General Public License version 2 as published by
|
|
||||||
# the Free Software Foundation.
|
|
||||||
|
|
||||||
# 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.
|
|
||||||
|
|
||||||
import numpy as np
|
|
||||||
|
|
||||||
def eigen(a):
|
|
||||||
|
|
||||||
k = 0
|
|
||||||
l = np.ones((a.shape[0]))
|
|
||||||
|
|
||||||
while (k < a.shape[0]):
|
|
||||||
|
|
||||||
u = np.random.rand(a.shape[0],1)
|
|
||||||
u = u/max(u.min(), u.max(), key=abs)
|
|
||||||
|
|
||||||
ctrl = 0
|
|
||||||
|
|
||||||
while (ctrl != l[k]):
|
|
||||||
|
|
||||||
ctrl = l[k]
|
|
||||||
u = a.dot(u)
|
|
||||||
l[k] = max(u.min(), u.max(), key=abs)
|
|
||||||
u = u/l[k]
|
|
||||||
|
|
||||||
|
|
||||||
i = 0
|
|
||||||
|
|
||||||
while (u[i] == 0):
|
|
||||||
i += 1
|
|
||||||
|
|
||||||
a = a - (1/u[i])*u*a[i]
|
|
||||||
|
|
||||||
k += 1
|
|
||||||
|
|
||||||
return l
|
|
||||||
@@ -1,21 +0,0 @@
|
|||||||
# Seals - Program made for educational intent, can be freely distributed
|
|
||||||
# and can be used for economical intent. I will not take legal actions
|
|
||||||
# unless my intelectual propperty, the code, is stolen or change without permission.
|
|
||||||
|
|
||||||
# Copyright (C) 2020 VItor Hideyoshi Nakazone Batista
|
|
||||||
|
|
||||||
# This program is free software; you can redistribute it and/or modify
|
|
||||||
# it under the terms of the GNU General Public License version 2 as published by
|
|
||||||
# the Free Software Foundation.
|
|
||||||
|
|
||||||
# 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.
|
|
||||||
|
|
||||||
from .insert import matrix
|
|
||||||
from .insert import vector
|
|
||||||
@@ -1,46 +0,0 @@
|
|||||||
# Seals - Program made for educational intent, can be freely distributed
|
|
||||||
# and can be used for economical intent. I will not take legal actions
|
|
||||||
# unless my intelectual propperty, the code, is stolen or change without permission.
|
|
||||||
|
|
||||||
# Copyright (C) 2020 VItor Hideyoshi Nakazone Batista
|
|
||||||
|
|
||||||
# This program is free software; you can redistribute it and/or modify
|
|
||||||
# it under the terms of the GNU General Public License version 2 as published by
|
|
||||||
# the Free Software Foundation.
|
|
||||||
|
|
||||||
# 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.
|
|
||||||
|
|
||||||
def matrix(matrix):
|
|
||||||
|
|
||||||
i = 0
|
|
||||||
|
|
||||||
while (i < matrix.shape[0]):
|
|
||||||
|
|
||||||
j = 0
|
|
||||||
|
|
||||||
while (j < matrix.shape[1]):
|
|
||||||
|
|
||||||
matrix[i][j] = float(input('Insira o elemento {}x{}: '.format((i+1),(j+1))))
|
|
||||||
j += 1
|
|
||||||
|
|
||||||
i += 1
|
|
||||||
|
|
||||||
return matrix
|
|
||||||
|
|
||||||
def vector(vector):
|
|
||||||
|
|
||||||
j=0
|
|
||||||
|
|
||||||
while (j < vector.shape[0]):
|
|
||||||
|
|
||||||
vector[j] = float(input('Insira o elemento b{}: '.format((j+1))))
|
|
||||||
j += 1
|
|
||||||
|
|
||||||
return vector
|
|
||||||
@@ -1,25 +0,0 @@
|
|||||||
# Seals - Program made for educational intent, can be freely distributed
|
|
||||||
# and can be used for economical intent. I will not take legal actions
|
|
||||||
# unless my intelectual propperty, the code, is stolen or change without permission.
|
|
||||||
|
|
||||||
# Copyright (C) 2020 VItor Hideyoshi Nakazone Batista
|
|
||||||
|
|
||||||
# This program is free software; you can redistribute it and/or modify
|
|
||||||
# it under the terms of the GNU General Public License version 2 as published by
|
|
||||||
# the Free Software Foundation.
|
|
||||||
|
|
||||||
# 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.
|
|
||||||
|
|
||||||
from .process import identity
|
|
||||||
from .process import gauss
|
|
||||||
from .process import inverse
|
|
||||||
from .process import cholesky
|
|
||||||
from .process import decomposition
|
|
||||||
from .process import cramer
|
|
||||||
@@ -1,203 +0,0 @@
|
|||||||
# Seals - Program made for educational intent, can be freely distributed
|
|
||||||
# and can be used for economical intent. I will not take legal actions
|
|
||||||
# unless my intelectual propperty, the code, is stolen or change without permission.
|
|
||||||
|
|
||||||
# Copyright (C) 2020 VItor Hideyoshi Nakazone Batista
|
|
||||||
|
|
||||||
# This program is free software; you can redistribute it and/or modify
|
|
||||||
# it under the terms of the GNU General Public License version 2 as published by
|
|
||||||
# the Free Software Foundation.
|
|
||||||
|
|
||||||
# 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.
|
|
||||||
|
|
||||||
import numpy as np
|
|
||||||
import math
|
|
||||||
|
|
||||||
def identity(matrix):
|
|
||||||
|
|
||||||
i = 0
|
|
||||||
|
|
||||||
while (i < matrix.shape[0]):
|
|
||||||
|
|
||||||
j = 0
|
|
||||||
|
|
||||||
while (j < matrix.shape[0]):
|
|
||||||
|
|
||||||
if (i == j):
|
|
||||||
|
|
||||||
matrix[i][j] = 1
|
|
||||||
|
|
||||||
elif (i != j):
|
|
||||||
|
|
||||||
matrix[i][j] = 0
|
|
||||||
|
|
||||||
j += 1
|
|
||||||
|
|
||||||
i += 1
|
|
||||||
|
|
||||||
return matrix
|
|
||||||
|
|
||||||
def gauss(matrix):
|
|
||||||
|
|
||||||
i = 0
|
|
||||||
k = 0
|
|
||||||
|
|
||||||
while (i < matrix.shape[0]):
|
|
||||||
|
|
||||||
if (matrix[i][i] == 0):
|
|
||||||
|
|
||||||
n = i
|
|
||||||
|
|
||||||
while (matrix[i][i] == 0) and (n < matrix.shape[0]):
|
|
||||||
|
|
||||||
temp = matrix[i].copy()
|
|
||||||
matrix[i] = matrix[n]
|
|
||||||
matrix[n] = temp
|
|
||||||
|
|
||||||
n += 1
|
|
||||||
|
|
||||||
while (k < matrix.shape[0]):
|
|
||||||
|
|
||||||
if (k == i) or (matrix[i][i] == 0):
|
|
||||||
|
|
||||||
k += 1
|
|
||||||
|
|
||||||
else:
|
|
||||||
|
|
||||||
mult = matrix[k][i]/matrix[i][i]
|
|
||||||
matrix[k] = matrix[k] - mult*matrix[i]
|
|
||||||
k += 1
|
|
||||||
|
|
||||||
i += 1
|
|
||||||
k = 0
|
|
||||||
|
|
||||||
i = 0
|
|
||||||
|
|
||||||
while ((i) < matrix.shape[0]) and (matrix[i][i] != 0):
|
|
||||||
|
|
||||||
matrix[i] = matrix[i]/matrix[i][i]
|
|
||||||
i += 1
|
|
||||||
|
|
||||||
return matrix[:,(matrix.shape[0]):]
|
|
||||||
|
|
||||||
def inverse(matrix):
|
|
||||||
|
|
||||||
return gauss(np.hstack((matrix, identity(np.zeros(matrix.shape)))))
|
|
||||||
|
|
||||||
def cholesky(A, b):
|
|
||||||
|
|
||||||
g = np.zeros((A.shape))
|
|
||||||
|
|
||||||
i = 0
|
|
||||||
j = 0
|
|
||||||
|
|
||||||
while j < A.shape[1]:
|
|
||||||
while i < A.shape[0]:
|
|
||||||
|
|
||||||
if i == 0 and j == 0:
|
|
||||||
|
|
||||||
g[i][j] = math.sqrt(A[0][0])
|
|
||||||
|
|
||||||
elif j == 0:
|
|
||||||
|
|
||||||
g[i][j] = A[i][0]/g[0][0]
|
|
||||||
|
|
||||||
elif i == j:
|
|
||||||
|
|
||||||
k = 0
|
|
||||||
theta = 0
|
|
||||||
|
|
||||||
while k < i:
|
|
||||||
|
|
||||||
theta += g[i][k]**2
|
|
||||||
k += 1
|
|
||||||
|
|
||||||
g[i][j] = math.sqrt(A[i][i] - theta)
|
|
||||||
|
|
||||||
else:
|
|
||||||
|
|
||||||
k = 0
|
|
||||||
theta = 0
|
|
||||||
|
|
||||||
while k < j:
|
|
||||||
|
|
||||||
theta += g[i][k]*g[j][k]
|
|
||||||
k += 1
|
|
||||||
|
|
||||||
g[i][j] = (A[i][j] - theta)/g[j][j]
|
|
||||||
|
|
||||||
i += 1
|
|
||||||
|
|
||||||
j += 1
|
|
||||||
i = j
|
|
||||||
|
|
||||||
y = (inverse(g)).dot(b)
|
|
||||||
|
|
||||||
x = (inverse(g.T)).dot(y)
|
|
||||||
|
|
||||||
return x
|
|
||||||
|
|
||||||
def decomposition(U, b):
|
|
||||||
|
|
||||||
L = identity(np.zeros(U.shape))
|
|
||||||
|
|
||||||
i = 0
|
|
||||||
k = 0
|
|
||||||
|
|
||||||
while (i < U.shape[0]):
|
|
||||||
|
|
||||||
k = 0
|
|
||||||
|
|
||||||
if (U[i][i] == 0):
|
|
||||||
|
|
||||||
n = i
|
|
||||||
|
|
||||||
while (U[i][i] == 0) and (n < U.shape[0]):
|
|
||||||
|
|
||||||
temp = U[i].copy()
|
|
||||||
U[i] = U[n]
|
|
||||||
U[n] = temp
|
|
||||||
|
|
||||||
n += 1
|
|
||||||
|
|
||||||
while (k < U.shape[0]):
|
|
||||||
|
|
||||||
if (k <= i) or (U[i][i] == 0):
|
|
||||||
|
|
||||||
k += 1
|
|
||||||
|
|
||||||
else:
|
|
||||||
L[k][i] = U[k][i]/U[i][i]
|
|
||||||
U[k] = U[k] - L[k][i]*U[i]
|
|
||||||
k += 1
|
|
||||||
|
|
||||||
i += 1
|
|
||||||
|
|
||||||
y = (inverse(L)).dot(b)
|
|
||||||
|
|
||||||
x = (inverse(U)).dot(y)
|
|
||||||
|
|
||||||
return x
|
|
||||||
|
|
||||||
def cramer(A, b):
|
|
||||||
|
|
||||||
x = np.vstack(np.zeros(b.shape))
|
|
||||||
k = 0
|
|
||||||
|
|
||||||
while (k < A.shape[0]):
|
|
||||||
|
|
||||||
temp = A.copy()
|
|
||||||
temp[:,k] = b
|
|
||||||
|
|
||||||
x[k] = np.linalg.det(temp)/np.linalg.det(A)
|
|
||||||
|
|
||||||
k += 1
|
|
||||||
|
|
||||||
return x
|
|
||||||
@@ -1,21 +0,0 @@
|
|||||||
# Seals - Program made for educational intent, can be freely distributed
|
|
||||||
# and can be used for economical intent. I will not take legal actions
|
|
||||||
# unless my intelectual propperty, the code, is stolen or change without permission.
|
|
||||||
|
|
||||||
# Copyright (C) 2020 VItor Hideyoshi Nakazone Batista
|
|
||||||
|
|
||||||
# This program is free software; you can redistribute it and/or modify
|
|
||||||
# it under the terms of the GNU General Public License version 2 as published by
|
|
||||||
# the Free Software Foundation.
|
|
||||||
|
|
||||||
# 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.
|
|
||||||
|
|
||||||
from .scan import numpy as np
|
|
||||||
from .scan import pandas as pd
|
|
||||||
@@ -1,45 +0,0 @@
|
|||||||
# Seals - Program made for educational intent, can be freely distributed
|
|
||||||
# and can be used for economical intent. I will not take legal actions
|
|
||||||
# unless my intelectual propperty, the code, is stolen or change without permission.
|
|
||||||
|
|
||||||
# Copyright (C) 2020 VItor Hideyoshi Nakazone Batista
|
|
||||||
|
|
||||||
# This program is free software; you can redistribute it and/or modify
|
|
||||||
# it under the terms of the GNU General Public License version 2 as published by
|
|
||||||
# the Free Software Foundation.
|
|
||||||
|
|
||||||
# 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.
|
|
||||||
|
|
||||||
import numpy as np
|
|
||||||
import pandas as pd
|
|
||||||
|
|
||||||
def numpy(path, sep=None, decimal=None):
|
|
||||||
|
|
||||||
if sep is None:
|
|
||||||
sep = ","
|
|
||||||
|
|
||||||
if decimal is None:
|
|
||||||
decimal = "."
|
|
||||||
|
|
||||||
df=pd.read_csv(path, sep=sep, decimal=decimal, header=None)
|
|
||||||
array = df.to_numpy()
|
|
||||||
|
|
||||||
return array
|
|
||||||
|
|
||||||
def pandas(path, sep=None, decimal=None):
|
|
||||||
|
|
||||||
if sep is None:
|
|
||||||
sep = ","
|
|
||||||
|
|
||||||
if decimal is None:
|
|
||||||
decimal = "."
|
|
||||||
|
|
||||||
return pd.read_csv(path, sep=sep, decimal=decimal)
|
|
||||||
|
|
||||||
@@ -1,21 +0,0 @@
|
|||||||
# Seals - Program made for educational intent, can be freely distributed
|
|
||||||
# and can be used for economical intent. I will not take legal actions
|
|
||||||
# unless my intelectual propperty, the code, is stolen or change without permission.
|
|
||||||
|
|
||||||
# Copyright (C) 2020 VItor Hideyoshi Nakazone Batista
|
|
||||||
|
|
||||||
# This program is free software; you can redistribute it and/or modify
|
|
||||||
# it under the terms of the GNU General Public License version 2 as published by
|
|
||||||
# the Free Software Foundation.
|
|
||||||
|
|
||||||
# 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.
|
|
||||||
|
|
||||||
from .write import numpy as np
|
|
||||||
from .write import pandas as pd
|
|
||||||
@@ -1,33 +0,0 @@
|
|||||||
# Seals - Program made for educational intent, can be freely distributed
|
|
||||||
# and can be used for economical intent. I will not take legal actions
|
|
||||||
# unless my intelectual propperty, the code, is stolen or change without permission.
|
|
||||||
|
|
||||||
# Copyright (C) 2020 VItor Hideyoshi Nakazone Batista
|
|
||||||
|
|
||||||
# This program is free software; you can redistribute it and/or modify
|
|
||||||
# it under the terms of the GNU General Public License version 2 as published by
|
|
||||||
# the Free Software Foundation.
|
|
||||||
|
|
||||||
# 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.
|
|
||||||
|
|
||||||
import csv
|
|
||||||
|
|
||||||
def numpy(array, path):
|
|
||||||
|
|
||||||
with open(path, mode='w') as sistema_linear:
|
|
||||||
|
|
||||||
solution_writer = csv.writer(sistema_linear, delimiter=',', quotechar='"', quoting=csv.QUOTE_MINIMAL)
|
|
||||||
solution_writer.writerows(array)
|
|
||||||
|
|
||||||
return array
|
|
||||||
|
|
||||||
def pandas(df, path):
|
|
||||||
|
|
||||||
df.to_csv(path)
|
|
||||||
Binary file not shown.
Binary file not shown.
@@ -1,27 +0,0 @@
|
|||||||
import setuptools
|
|
||||||
|
|
||||||
with open("README.md", "r") as fh:
|
|
||||||
long_description = fh.read()
|
|
||||||
|
|
||||||
setuptools.setup(
|
|
||||||
name="yoshi-seals",
|
|
||||||
version="1.3",
|
|
||||||
author="Vitor Hideyoshi",
|
|
||||||
author_email="vitor.h.n.batista@gmail.com",
|
|
||||||
description="Numeric Calculus python module in the topic of Linear Algebra",
|
|
||||||
long_description=long_description,
|
|
||||||
long_description_content_type="text/markdown",
|
|
||||||
url="https://github.com/HideyoshiNakazone/Seals-NumericCalculus.git",
|
|
||||||
packages=setuptools.find_packages(),
|
|
||||||
classifiers=[
|
|
||||||
"Programming Language :: Python :: 3",
|
|
||||||
"License :: OSI Approved :: GNU General Public License v2 (GPLv2)",
|
|
||||||
"Operating System :: OS Independent",
|
|
||||||
"Development Status :: 2 - Pre-Alpha",
|
|
||||||
],
|
|
||||||
python_requires='>=3.6',
|
|
||||||
install_requires=[
|
|
||||||
'numpy',
|
|
||||||
'pandas',
|
|
||||||
],
|
|
||||||
)
|
|
||||||
@@ -1,71 +0,0 @@
|
|||||||
Metadata-Version: 2.1
|
|
||||||
Name: yoshi-seals
|
|
||||||
Version: 1.3
|
|
||||||
Summary: Numeric Calculus python module in the topic of Linear Algebra
|
|
||||||
Home-page: https://github.com/HideyoshiNakazone/Seals-NumericCalculus.git
|
|
||||||
Author: Vitor Hideyoshi
|
|
||||||
Author-email: vitor.h.n.batista@gmail.com
|
|
||||||
License: UNKNOWN
|
|
||||||
Description: # Seals - Numeric Calculus
|
|
||||||
|
|
||||||
This python package is made for applied Numeric Calculus of Linear Algebra. It is made with the following objectives in mind:
|
|
||||||
|
|
||||||
* Scan *csv* files to make a numpy matrix.
|
|
||||||
|
|
||||||
* Write a matrix into a *csv* file
|
|
||||||
|
|
||||||
* Insert user input into a matrix or a vector.
|
|
||||||
|
|
||||||
* Calculate Eigen Values
|
|
||||||
|
|
||||||
* Use methods to proccess the matrices.
|
|
||||||
* Identity Matrix
|
|
||||||
* Gauss Elimination
|
|
||||||
* Inverse Matrix
|
|
||||||
* Cholesky Decomposition
|
|
||||||
* LU Decomposition
|
|
||||||
* Cramer
|
|
||||||
|
|
||||||
## Syntax
|
|
||||||
|
|
||||||
The module *scan* has a function for *Numpy* arrays and *Pandas* dataframes, and used the following syntax `Seals.scan.np(path)` for *Numpy* and `Seals.scan.pd(path)` for *Pandas*, where `path` is the path to your directory.
|
|
||||||
|
|
||||||
The module *write* has a function for *Numpy* arrays and *Pandas* dataframes, and uses the following syntax `Seals.write.np(array,path)` for *Numpy*, where `array` is the matrix that you desire to output and `path` is the path to your directory, and `Seals.write.pd(df,path)` for *Pandas*, where `df` is the matrix that you desire to output and `path` is the path to your directory.
|
|
||||||
|
|
||||||
The module *insert* has a function for *matrix* and another for *vector*, and it has the following syntax `Seals.insert.function(array)`, where `insert` is the *Python Module* and `function` is either a `matrix` or a `vector` and `array` is either a *matrix* or a *vector*.
|
|
||||||
|
|
||||||
There is also a function that given a matrix it return all real eigen values
|
|
||||||
|
|
||||||
### Processes
|
|
||||||
|
|
||||||
To call the module `process` use the syntax: `sl = Seals.process`, where `sl` is an instance and to use a function you have to append the desired function in front of the instance like: `sl.identity(array)`.
|
|
||||||
|
|
||||||
* The function *identity* returns a *numpy* identity matrix of the order of the matrix passed into to it, and it has the following syntax `sl.identity(array)`, which `array` is a square matrix.
|
|
||||||
|
|
||||||
* The function *gauss* returns a *numpy* vector containing the vector of variables from the augmented matrix. `sl.gauss(matrix)`, which `matrix` is the augmented matrix.
|
|
||||||
|
|
||||||
* The function *inverse* returns a *numpy* inverse matrix of the matrix passed into to it, and it has the following syntax `sl.inverse(matrix)`, which `matrix` is a square matrix.
|
|
||||||
|
|
||||||
* The function *cholesky* returns a *numpy* vector containing the vector of variables from the coefficient matrix and the constants vector, and it has the following syntax `sl.cholesky(A,b)`, which `A` is the coefficient matrix and `b` is the constants vector.
|
|
||||||
|
|
||||||
* The function *decomposition* returns a *numpy* vector containing the vector of variables from the coefficient matrix and the constants vector, and it has the following syntax `sl.cholesky(A,b)`, which `A` is the coefficient matrix and `b` is the constants vector.
|
|
||||||
|
|
||||||
* The function *cramer* returns a *numpy* vector containing the vector of variables from the coefficient matrix and the constants vector, and it has the following syntax `sl.cholesky(A,b)`, which `A` is the coefficient matrix and `b` is the constants vector.
|
|
||||||
|
|
||||||
## Installation
|
|
||||||
|
|
||||||
To install the package from source `cd` into the directory and run:
|
|
||||||
|
|
||||||
`pip install .`
|
|
||||||
|
|
||||||
or run
|
|
||||||
|
|
||||||
`pip install yoshi-seals`
|
|
||||||
|
|
||||||
Platform: UNKNOWN
|
|
||||||
Classifier: Programming Language :: Python :: 3
|
|
||||||
Classifier: License :: OSI Approved :: GNU General Public License v2 (GPLv2)
|
|
||||||
Classifier: Operating System :: OS Independent
|
|
||||||
Classifier: Development Status :: 2 - Pre-Alpha
|
|
||||||
Requires-Python: >=3.6
|
|
||||||
Description-Content-Type: text/markdown
|
|
||||||
@@ -1,18 +0,0 @@
|
|||||||
README.md
|
|
||||||
setup.py
|
|
||||||
Seals/__init__.py
|
|
||||||
Seals/eigen/__init__.py
|
|
||||||
Seals/eigen/eigen.py
|
|
||||||
Seals/insert/__init__.py
|
|
||||||
Seals/insert/insert.py
|
|
||||||
Seals/process/__init__.py
|
|
||||||
Seals/process/process.py
|
|
||||||
Seals/scan/__init__.py
|
|
||||||
Seals/scan/scan.py
|
|
||||||
Seals/write/__init__.py
|
|
||||||
Seals/write/write.py
|
|
||||||
yoshi_seals.egg-info/PKG-INFO
|
|
||||||
yoshi_seals.egg-info/SOURCES.txt
|
|
||||||
yoshi_seals.egg-info/dependency_links.txt
|
|
||||||
yoshi_seals.egg-info/requires.txt
|
|
||||||
yoshi_seals.egg-info/top_level.txt
|
|
||||||
@@ -1,2 +0,0 @@
|
|||||||
numpy
|
|
||||||
pandas
|
|
||||||
@@ -1 +0,0 @@
|
|||||||
Seals
|
|
||||||
22
README.md
22
README.md
@@ -4,11 +4,11 @@ This python namespace is made for applied Numeric Calculus of Linear Algebra. It
|
|||||||
|
|
||||||
* Scan *csv* files to make a numpy matrix.
|
* Scan *csv* files to make a numpy matrix.
|
||||||
|
|
||||||
* Write a matrix into a *csv* file
|
* Write a matrix into a *csv* file.
|
||||||
|
|
||||||
* Insert user input into a matrix or a vector.
|
* Insert user input into a matrix or a vector.
|
||||||
|
|
||||||
* Calculate Eigen Values
|
* Calculate Eigenvalues and his Eigenvectors.
|
||||||
|
|
||||||
* Use methods to proccess the matrices.
|
* Use methods to proccess the matrices.
|
||||||
* Identity Matrix
|
* Identity Matrix
|
||||||
@@ -20,29 +20,27 @@ This python namespace is made for applied Numeric Calculus of Linear Algebra. It
|
|||||||
|
|
||||||
## Syntax
|
## Syntax
|
||||||
|
|
||||||
To call the package *scan* use the syntax: `from Seals import scan`. The package also has a function for *Numpy* arrays and *Pandas* dataframes, and used the following syntax `scan.np(path)` for *Numpy* and `scan.pd(path)` for *Pandas*, where `path` is the path to your directory.
|
To call the package *scan* use the syntax: `from yoshi_seals import scan`. The package also has a function for *Numpy* arrays and *Pandas* dataframes, and used the following syntax `scan.np(path)` for *Numpy* and `scan.pd(path)` for *Pandas*, where `path` is the path to your directory.
|
||||||
|
|
||||||
To call the package *write* use the syntax: `from Seals import write`. The package also has a function for *Numpy* arrays and *Pandas* dataframes, and uses the following syntax `write.np(array,path)` for *Numpy*, where `array` is the matrix that you desire to output and `path` is the path to your directory, and `write.pd(df,path)` for *Pandas*, where `df` is the matrix that you desire to output and `path` is the path to your directory.
|
To call the package *write* use the syntax: `from yoshi_seals import write`. The package also has a function for *Numpy* arrays and *Pandas* dataframes, and uses the following syntax `write.np(array,path)` for *Numpy*, where `array` is the matrix that you desire to output and `path` is the path to your directory, and `write.pd(df,path)` for *Pandas*, where `df` is the matrix that you desire to output and `path` is the path to your directory.
|
||||||
|
|
||||||
To call the package *insert* use the syntax: `from Seals import insert`. The package also has a function for *matrix* and another for *vector*, and it has the following syntax `insert.function(array)`, where `insert` is the *Python Module* and `function` is either a `matrix` or a `vector` and `array` is either a *matrix* or a *vector*.
|
To call the package *insert* use the syntax: `from yoshi_seals import insert`. The package also has a function for *matrix* and another for *vector*, and it has the following syntax `insert.function(array)`, where `insert` is the *Python Module* and `function` is either a `matrix` or a `vector` and `array` is either a *matrix* or a *vector*.
|
||||||
|
|
||||||
There is also a function that given a matrix it return all real eigen values
|
There is also a function that given a matrix it return all real eigenvalues and all real eigenvectors, this function uses the power method to find the eigenvalues and inverse power method for the eigenvector.
|
||||||
|
|
||||||
### Processes
|
### Processes
|
||||||
|
|
||||||
To call the module `process` use the syntax: `from Seals import process as sl`, where `sl` is an instance and to use a function you have to append the desired function in front of the instance like: `sl.identity(array)`.
|
To call the module `process` use the syntax: `from yoshi_seals import process as sl`, where `sl` is an alias and will be used to call functions: `sl.inverse(array)`.
|
||||||
|
|
||||||
* The function *identity* returns a *numpy* identity matrix of the order of the matrix passed into to it, and it has the following syntax `sl.identity(array)`, which `array` is a square matrix.
|
* The function *gauss* returns a *numpy* vector containing the vector of variables from the augmented matrix. `sl.gauss(A,b)`, which `A` is the coefficient matrix and `b` is the constants vector.
|
||||||
|
|
||||||
* The function *gauss* returns a *numpy* vector containing the vector of variables from the augmented matrix. `sl.gauss(matrix)`, which `matrix` is the augmented matrix.
|
|
||||||
|
|
||||||
* The function *inverse* returns a *numpy* inverse matrix of the matrix passed into to it, and it has the following syntax `sl.inverse(matrix)`, which `matrix` is a square matrix.
|
* The function *inverse* returns a *numpy* inverse matrix of the matrix passed into to it, and it has the following syntax `sl.inverse(matrix)`, which `matrix` is a square matrix.
|
||||||
|
|
||||||
* The function *cholesky* returns a *numpy* vector containing the vector of variables from the coefficient matrix and the constants vector, and it has the following syntax `sl.cholesky(A,b)`, which `A` is the coefficient matrix and `b` is the constants vector.
|
* The function *cholesky* returns a *numpy* vector containing the vector of variables from the coefficient matrix and the constants vector, and it has the following syntax `sl.cholesky(A,b)`, which `A` is the coefficient matrix and `b` is the constants vector.
|
||||||
|
|
||||||
* The function *decomposition* returns a *numpy* vector containing the vector of variables from the coefficient matrix and the constants vector, and it has the following syntax `sl.cholesky(A,b)`, which `A` is the coefficient matrix and `b` is the constants vector.
|
* The function *decomposition* returns a *numpy* vector containing the vector of variables from the coefficient matrix and the constants vector, and it has the following syntax `sl.decomposition(A,b)`, which `A` is the coefficient matrix and `b` is the constants vector.
|
||||||
|
|
||||||
* The function *cramer* returns a *numpy* vector containing the vector of variables from the coefficient matrix and the constants vector, and it has the following syntax `sl.cholesky(A,b)`, which `A` is the coefficient matrix and `b` is the constants vector.
|
* The function *cramer* returns a *numpy* vector containing the vector of variables from the coefficient matrix and the constants vector, and it has the following syntax `sl.cramer(A,b)`, which `A` is the coefficient matrix and `b` is the constants vector.
|
||||||
|
|
||||||
## Installation
|
## Installation
|
||||||
|
|
||||||
|
|||||||
41
build.py
Normal file
41
build.py
Normal file
@@ -0,0 +1,41 @@
|
|||||||
|
import os
|
||||||
|
import numpy
|
||||||
|
|
||||||
|
|
||||||
|
try:
|
||||||
|
from Cython.Build import cythonize
|
||||||
|
except ImportError:
|
||||||
|
def build(setup_kwargs):
|
||||||
|
pass
|
||||||
|
else:
|
||||||
|
from setuptools import Extension
|
||||||
|
from setuptools.dist import Distribution
|
||||||
|
from setuptools.command.build_ext import build_ext
|
||||||
|
|
||||||
|
|
||||||
|
def build_ext_modules_array(ext: list[dict]) -> list[Extension]:
|
||||||
|
return [
|
||||||
|
Extension(
|
||||||
|
name=e['name'],
|
||||||
|
sources=[e['path']],
|
||||||
|
extra_compile_args=['-O3', '-fopenmp'],
|
||||||
|
extra_link_args=['-fopenmp'],
|
||||||
|
language='c',
|
||||||
|
) for e in ext
|
||||||
|
]
|
||||||
|
|
||||||
|
def build(setup_kwargs):
|
||||||
|
extensions = [
|
||||||
|
{"name": "yoshi_seals.shared.array", "path": "yoshi_seals/shared/array.pyx"},
|
||||||
|
{"name": "yoshi_seals.process.process", "path": "yoshi_seals/process/process.pyx"},
|
||||||
|
]
|
||||||
|
|
||||||
|
setup_kwargs.update({
|
||||||
|
'ext_modules': cythonize(
|
||||||
|
build_ext_modules_array(extensions),
|
||||||
|
language_level=3,
|
||||||
|
compiler_directives={'linetrace': True},
|
||||||
|
),
|
||||||
|
'include_dirs': [numpy.get_include()],
|
||||||
|
'cmdclass': {'build_ext': build_ext}
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262
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||||||
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||||||
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||||||
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|
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|
||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
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||||||
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||||||
|
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||||||
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|
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|
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|
||||||
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|
||||||
|
[[package]]
|
||||||
|
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|
||||||
|
version = "1.16.0"
|
||||||
|
description = "Python 2 and 3 compatibility utilities"
|
||||||
|
optional = false
|
||||||
|
python-versions = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*"
|
||||||
|
files = [
|
||||||
|
{file = "six-1.16.0-py2.py3-none-any.whl", hash = "sha256:8abb2f1d86890a2dfb989f9a77cfcfd3e47c2a354b01111771326f8aa26e0254"},
|
||||||
|
{file = "six-1.16.0.tar.gz", hash = "sha256:1e61c37477a1626458e36f7b1d82aa5c9b094fa4802892072e49de9c60c4c926"},
|
||||||
|
]
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "tzdata"
|
||||||
|
version = "2024.1"
|
||||||
|
description = "Provider of IANA time zone data"
|
||||||
|
optional = false
|
||||||
|
python-versions = ">=2"
|
||||||
|
files = [
|
||||||
|
{file = "tzdata-2024.1-py2.py3-none-any.whl", hash = "sha256:9068bc196136463f5245e51efda838afa15aaeca9903f49050dfa2679db4d252"},
|
||||||
|
{file = "tzdata-2024.1.tar.gz", hash = "sha256:2674120f8d891909751c38abcdfd386ac0a5a1127954fbc332af6b5ceae07efd"},
|
||||||
|
]
|
||||||
|
|
||||||
|
[metadata]
|
||||||
|
lock-version = "2.0"
|
||||||
|
python-versions = "^3.10"
|
||||||
|
content-hash = "8c13f2e0cc0cd4be7860bdfc44ede036db41f77b195d33b52ac3e63b51540387"
|
||||||
35
pyproject.toml
Normal file
35
pyproject.toml
Normal file
@@ -0,0 +1,35 @@
|
|||||||
|
[tool.poetry]
|
||||||
|
name = "yoshi-seals"
|
||||||
|
version = "0.0.0"
|
||||||
|
description = ""
|
||||||
|
authors = ["Vitor Hideyoshi Nakazone Batista <vitor.h.n.batista@gmail.com>"]
|
||||||
|
license = "GPL-2.0-only"
|
||||||
|
packages = [
|
||||||
|
{ include = "yoshi_seals", from = "." },
|
||||||
|
]
|
||||||
|
readme = "README.md"
|
||||||
|
|
||||||
|
[tool.poetry.build]
|
||||||
|
generate-setup-file = true
|
||||||
|
script = "build.py"
|
||||||
|
|
||||||
|
|
||||||
|
[tool.poetry.dependencies]
|
||||||
|
python = "^3.10"
|
||||||
|
numpy = "^2.0.0"
|
||||||
|
pandas = "^2.2.2"
|
||||||
|
cython = "^3.0.10"
|
||||||
|
|
||||||
|
|
||||||
|
[tool.poetry.group.dev.dependencies]
|
||||||
|
setuptools = "^70.1.0"
|
||||||
|
|
||||||
|
|
||||||
|
[tool.poetry-dynamic-versioning]
|
||||||
|
enable = true
|
||||||
|
vcs = "git"
|
||||||
|
|
||||||
|
|
||||||
|
[build-system]
|
||||||
|
requires = ["poetry-core>=1.0.0", "poetry-dynamic-versioning>=1.0.0,<2.0.0", "setuptools>=70.1.0", "cython>=3.0.10", "numpy>=2.0.0"]
|
||||||
|
build-backend = "poetry_dynamic_versioning.backend"
|
||||||
0
tests/__init__.py
Normal file
0
tests/__init__.py
Normal file
90
tests/test_process.py
Normal file
90
tests/test_process.py
Normal file
@@ -0,0 +1,90 @@
|
|||||||
|
from yoshi_seals import process as ps
|
||||||
|
|
||||||
|
import numpy as np
|
||||||
|
|
||||||
|
from numpy import testing as npt
|
||||||
|
import unittest
|
||||||
|
|
||||||
|
|
||||||
|
class TestProcess(unittest.TestCase):
|
||||||
|
|
||||||
|
def test_det(self):
|
||||||
|
a = np.array(([1., 0.], [0., 1.]))
|
||||||
|
|
||||||
|
a_det = ps.det(a)
|
||||||
|
|
||||||
|
self.assertEqual(a_det, 1)
|
||||||
|
|
||||||
|
def test_inverse(self):
|
||||||
|
a = np.array(([1., 0.], [0., 1.]))
|
||||||
|
a_inv = ps.inverse(a)
|
||||||
|
|
||||||
|
npt.assert_array_equal(a, a_inv)
|
||||||
|
|
||||||
|
def test_hstack_returns_stacked_array(self):
|
||||||
|
a = np.array(([1., ], [1., ]))
|
||||||
|
b = np.array(([1., ], [1., ]))
|
||||||
|
|
||||||
|
stacked = ps.hstack(a, b)
|
||||||
|
expected_stacked_array = np.array(([1., 1.], [1., 1.]))
|
||||||
|
|
||||||
|
npt.assert_array_equal(stacked, expected_stacked_array)
|
||||||
|
|
||||||
|
def test_hstack_throws_exception(self):
|
||||||
|
a = np.array(([1., ], [1., ]))
|
||||||
|
b = np.array(([1., ]))
|
||||||
|
|
||||||
|
with self.assertRaises(ValueError):
|
||||||
|
ps.hstack(a, b)
|
||||||
|
|
||||||
|
def test_vstack_returns_stacked_array(self):
|
||||||
|
a = np.array(([[1., 1.]]))
|
||||||
|
b = np.array(([[1., 1.]]))
|
||||||
|
|
||||||
|
stacked = ps.vstack(a, b)
|
||||||
|
expected_stacked_array = np.array(([1., 1.], [1., 1.]))
|
||||||
|
|
||||||
|
npt.assert_array_equal(stacked, expected_stacked_array)
|
||||||
|
|
||||||
|
def test_vstack_throws_exception(self):
|
||||||
|
a = np.array(([[1., 1.]]))
|
||||||
|
b = np.array(([[1.]]))
|
||||||
|
|
||||||
|
with self.assertRaises(ValueError):
|
||||||
|
ps.vstack(a, b)
|
||||||
|
|
||||||
|
def test_gauss(self):
|
||||||
|
a = np.array(([4., 10., 8.], [10., 26., 26], [8., 26., 61.]))
|
||||||
|
b = np.array(([44.], [128.], [214.]))
|
||||||
|
|
||||||
|
matrix = ps.gauss(a, b)
|
||||||
|
expected_matrix = np.array([[-8.], [6.], [2.]])
|
||||||
|
|
||||||
|
npt.assert_almost_equal(matrix, expected_matrix)
|
||||||
|
|
||||||
|
def test_cholesky(self):
|
||||||
|
a = np.array(([4., 10., 8.], [10., 26., 26], [8., 26., 61.]))
|
||||||
|
b = np.array(([44.], [128.], [214.]))
|
||||||
|
|
||||||
|
matrix = ps.cholesky(a, b)
|
||||||
|
expected_matrix = np.array([[-8.], [6.], [2.]])
|
||||||
|
|
||||||
|
npt.assert_almost_equal(matrix, expected_matrix)
|
||||||
|
|
||||||
|
def test_decomposition(self):
|
||||||
|
a = np.array(([4., 10., 8.], [10., 26., 26], [8., 26., 61.]))
|
||||||
|
b = np.array(([44.], [128.], [214.]))
|
||||||
|
|
||||||
|
matrix = ps.decomposition(a, b)
|
||||||
|
expected_matrix = np.array([[-8.], [6.], [2.]])
|
||||||
|
|
||||||
|
npt.assert_almost_equal(matrix, expected_matrix)
|
||||||
|
|
||||||
|
def test_cramer(self):
|
||||||
|
a = np.array(([4., 10., 8.], [10., 26., 26], [8., 26., 61.]))
|
||||||
|
b = np.array(([44.], [128.], [214.]))
|
||||||
|
|
||||||
|
matrix = ps.cramer(a, b)
|
||||||
|
expected_matrix = np.array([[-8.], [6.], [2.]])
|
||||||
|
|
||||||
|
npt.assert_almost_equal(matrix, expected_matrix)
|
||||||
Binary file not shown.
@@ -1,278 +0,0 @@
|
|||||||
GNU GENERAL PUBLIC LICENSE
|
|
||||||
Version 2, June 1991
|
|
||||||
|
|
||||||
Copyright (C) 1989, 1991 Free Software Foundation, Inc.,
|
|
||||||
51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
|
|
||||||
Everyone is permitted to copy and distribute verbatim copies
|
|
||||||
of this license document, but changing it is not allowed.
|
|
||||||
|
|
||||||
Preamble
|
|
||||||
|
|
||||||
The licenses for most software are designed to take away your
|
|
||||||
freedom to share and change it. By contrast, the GNU General Public
|
|
||||||
License is intended to guarantee your freedom to share and change free
|
|
||||||
software--to make sure the software is free for all its users. This
|
|
||||||
General Public License applies to most of the Free Software
|
|
||||||
Foundation's software and to any other program whose authors commit to
|
|
||||||
using it. (Some other Free Software Foundation software is covered by
|
|
||||||
the GNU Lesser General Public License instead.) You can apply it to
|
|
||||||
your programs, too.
|
|
||||||
|
|
||||||
When we speak of free software, we are referring to freedom, not
|
|
||||||
price. Our General Public Licenses are designed to make sure that you
|
|
||||||
have the freedom to distribute copies of free software (and charge for
|
|
||||||
this service if you wish), that you receive source code or can get it
|
|
||||||
if you want it, that you can change the software or use pieces of it
|
|
||||||
in new free programs; and that you know you can do these things.
|
|
||||||
|
|
||||||
To protect your rights, we need to make restrictions that forbid
|
|
||||||
anyone to deny you these rights or to ask you to surrender the rights.
|
|
||||||
These restrictions translate to certain responsibilities for you if you
|
|
||||||
distribute copies of the software, or if you modify it.
|
|
||||||
|
|
||||||
For example, if you distribute copies of such a program, whether
|
|
||||||
gratis or for a fee, you must give the recipients all the rights that
|
|
||||||
you have. 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.
|
|
||||||
|
|
||||||
We protect your rights with two steps: (1) copyright the software, and
|
|
||||||
(2) offer you this license which gives you legal permission to copy,
|
|
||||||
distribute and/or modify the software.
|
|
||||||
|
|
||||||
Also, for each author's protection and ours, we want to make certain
|
|
||||||
that everyone understands that there is no warranty for this free
|
|
||||||
software. If the software is modified by someone else and passed on, we
|
|
||||||
want its recipients to know that what they have is not the original, so
|
|
||||||
that any problems introduced by others will not reflect on the original
|
|
||||||
authors' reputations.
|
|
||||||
|
|
||||||
Finally, any free program is threatened constantly by software
|
|
||||||
patents. We wish to avoid the danger that redistributors of a free
|
|
||||||
program will individually obtain patent licenses, in effect making the
|
|
||||||
program proprietary. To prevent this, we have made it clear that any
|
|
||||||
patent must be licensed for everyone's free use or not licensed at all.
|
|
||||||
|
|
||||||
The precise terms and conditions for copying, distribution and
|
|
||||||
modification follow.
|
|
||||||
|
|
||||||
GNU GENERAL PUBLIC LICENSE
|
|
||||||
TERMS AND CONDITIONS FOR COPYING, DISTRIBUTION AND MODIFICATION
|
|
||||||
|
|
||||||
0. This License applies to any program or other work which contains
|
|
||||||
a notice placed by the copyright holder saying it may be distributed
|
|
||||||
under the terms of this General Public License. The "Program", below,
|
|
||||||
refers to any such program or work, and a "work based on the Program"
|
|
||||||
means either the Program or any derivative work under copyright law:
|
|
||||||
that is to say, a work containing the Program or a portion of it,
|
|
||||||
either verbatim or with modifications and/or translated into another
|
|
||||||
language. (Hereinafter, translation is included without limitation in
|
|
||||||
the term "modification".) Each licensee is addressed as "you".
|
|
||||||
|
|
||||||
Activities other than copying, distribution and modification are not
|
|
||||||
covered by this License; they are outside its scope. The act of
|
|
||||||
running the Program is not restricted, and the output from the Program
|
|
||||||
is covered only if its contents constitute a work based on the
|
|
||||||
Program (independent of having been made by running the Program).
|
|
||||||
Whether that is true depends on what the Program does.
|
|
||||||
|
|
||||||
1. You may copy and distribute verbatim copies of the Program's
|
|
||||||
source code as you receive it, in any medium, provided that you
|
|
||||||
conspicuously and appropriately publish on each copy an appropriate
|
|
||||||
copyright notice and disclaimer of warranty; keep intact all the
|
|
||||||
notices that refer to this License and to the absence of any warranty;
|
|
||||||
and give any other recipients of the Program a copy of this License
|
|
||||||
along with the Program.
|
|
||||||
|
|
||||||
You may charge a fee for the physical act of transferring a copy, and
|
|
||||||
you may at your option offer warranty protection in exchange for a fee.
|
|
||||||
|
|
||||||
2. You may modify your copy or copies of the Program or any portion
|
|
||||||
of it, thus forming a work based on the Program, and copy and
|
|
||||||
distribute such modifications or work under the terms of Section 1
|
|
||||||
above, provided that you also meet all of these conditions:
|
|
||||||
|
|
||||||
a) You must cause the modified files to carry prominent notices
|
|
||||||
stating that you changed the files and the date of any change.
|
|
||||||
|
|
||||||
b) You must cause any work that you distribute or publish, that in
|
|
||||||
whole or in part contains or is derived from the Program or any
|
|
||||||
part thereof, to be licensed as a whole at no charge to all third
|
|
||||||
parties under the terms of this License.
|
|
||||||
|
|
||||||
c) If the modified program normally reads commands interactively
|
|
||||||
when run, you must cause it, when started running for such
|
|
||||||
interactive use in the most ordinary way, to print or display an
|
|
||||||
announcement including an appropriate copyright notice and a
|
|
||||||
notice that there is no warranty (or else, saying that you provide
|
|
||||||
a warranty) and that users may redistribute the program under
|
|
||||||
these conditions, and telling the user how to view a copy of this
|
|
||||||
License. (Exception: if the Program itself is interactive but
|
|
||||||
does not normally print such an announcement, your work based on
|
|
||||||
the Program is not required to print an announcement.)
|
|
||||||
|
|
||||||
These requirements apply to the modified work as a whole. If
|
|
||||||
identifiable sections of that work are not derived from the Program,
|
|
||||||
and can be reasonably considered independent and separate works in
|
|
||||||
themselves, then this License, and its terms, do not apply to those
|
|
||||||
sections when you distribute them as separate works. But when you
|
|
||||||
distribute the same sections as part of a whole which is a work based
|
|
||||||
on the Program, the distribution of the whole must be on the terms of
|
|
||||||
this License, whose permissions for other licensees extend to the
|
|
||||||
entire whole, and thus to each and every part regardless of who wrote it.
|
|
||||||
|
|
||||||
Thus, it is not the intent of this section to claim rights or contest
|
|
||||||
your rights to work written entirely by you; rather, the intent is to
|
|
||||||
exercise the right to control the distribution of derivative or
|
|
||||||
collective works based on the Program.
|
|
||||||
|
|
||||||
In addition, mere aggregation of another work not based on the Program
|
|
||||||
with the Program (or with a work based on the Program) on a volume of
|
|
||||||
a storage or distribution medium does not bring the other work under
|
|
||||||
the scope of this License.
|
|
||||||
|
|
||||||
3. You may copy and distribute the Program (or a work based on it,
|
|
||||||
under Section 2) in object code or executable form under the terms of
|
|
||||||
Sections 1 and 2 above provided that you also do one of the following:
|
|
||||||
|
|
||||||
a) Accompany it with the complete corresponding machine-readable
|
|
||||||
source code, which must be distributed under the terms of Sections
|
|
||||||
1 and 2 above on a medium customarily used for software interchange; or,
|
|
||||||
|
|
||||||
b) Accompany it with a written offer, valid for at least three
|
|
||||||
years, to give any third party, for a charge no more than your
|
|
||||||
cost of physically performing source distribution, a complete
|
|
||||||
machine-readable copy of the corresponding source code, to be
|
|
||||||
distributed under the terms of Sections 1 and 2 above on a medium
|
|
||||||
customarily used for software interchange; or,
|
|
||||||
|
|
||||||
c) Accompany it with the information you received as to the offer
|
|
||||||
to distribute corresponding source code. (This alternative is
|
|
||||||
allowed only for noncommercial distribution and only if you
|
|
||||||
received the program in object code or executable form with such
|
|
||||||
an offer, in accord with Subsection b above.)
|
|
||||||
|
|
||||||
The source code for a work means the preferred form of the work for
|
|
||||||
making modifications to it. For an executable work, complete source
|
|
||||||
code means all the source code for all modules it contains, plus any
|
|
||||||
associated interface definition files, plus the scripts used to
|
|
||||||
control compilation and installation of the executable. However, as a
|
|
||||||
special exception, the source code distributed need not include
|
|
||||||
anything that is normally distributed (in either source or binary
|
|
||||||
form) with the major components (compiler, kernel, and so on) of the
|
|
||||||
operating system on which the executable runs, unless that component
|
|
||||||
itself accompanies the executable.
|
|
||||||
|
|
||||||
If distribution of executable or object code is made by offering
|
|
||||||
access to copy from a designated place, then offering equivalent
|
|
||||||
access to copy the source code from the same place counts as
|
|
||||||
distribution of the source code, even though third parties are not
|
|
||||||
compelled to copy the source along with the object code.
|
|
||||||
|
|
||||||
4. You may not copy, modify, sublicense, or distribute the Program
|
|
||||||
except as expressly provided under this License. Any attempt
|
|
||||||
otherwise to copy, modify, sublicense or distribute the Program is
|
|
||||||
void, and will automatically terminate your rights under this License.
|
|
||||||
However, parties who have received copies, or rights, from you under
|
|
||||||
this License will not have their licenses terminated so long as such
|
|
||||||
parties remain in full compliance.
|
|
||||||
|
|
||||||
5. You are not required to accept this License, since you have not
|
|
||||||
signed it. However, nothing else grants you permission to modify or
|
|
||||||
distribute the Program or its derivative works. These actions are
|
|
||||||
prohibited by law if you do not accept this License. Therefore, by
|
|
||||||
modifying or distributing the Program (or any work based on the
|
|
||||||
Program), you indicate your acceptance of this License to do so, and
|
|
||||||
all its terms and conditions for copying, distributing or modifying
|
|
||||||
the Program or works based on it.
|
|
||||||
|
|
||||||
6. Each time you redistribute the Program (or any work based on the
|
|
||||||
Program), the recipient automatically receives a license from the
|
|
||||||
original licensor to copy, distribute or modify the Program subject to
|
|
||||||
these terms and conditions. You may not impose any further
|
|
||||||
restrictions on the recipients' exercise of the rights granted herein.
|
|
||||||
You are not responsible for enforcing compliance by third parties to
|
|
||||||
this License.
|
|
||||||
|
|
||||||
7. If, as a consequence of a court judgment or allegation of patent
|
|
||||||
infringement or for any other reason (not limited to patent issues),
|
|
||||||
conditions are imposed on you (whether by court order, agreement or
|
|
||||||
otherwise) that contradict the conditions of this License, they do not
|
|
||||||
excuse you from the conditions of this License. If you cannot
|
|
||||||
distribute so as to satisfy simultaneously your obligations under this
|
|
||||||
License and any other pertinent obligations, then as a consequence you
|
|
||||||
may not distribute the Program at all. For example, if a patent
|
|
||||||
license would not permit royalty-free redistribution of the Program by
|
|
||||||
all those who receive copies directly or indirectly through you, then
|
|
||||||
the only way you could satisfy both it and this License would be to
|
|
||||||
refrain entirely from distribution of the Program.
|
|
||||||
|
|
||||||
If any portion of this section is held invalid or unenforceable under
|
|
||||||
any particular circumstance, the balance of the section is intended to
|
|
||||||
apply and the section as a whole is intended to apply in other
|
|
||||||
circumstances.
|
|
||||||
|
|
||||||
It is not the purpose of this section to induce you to infringe any
|
|
||||||
patents or other property right claims or to contest validity of any
|
|
||||||
such claims; this section has the sole purpose of protecting the
|
|
||||||
integrity of the free software distribution system, which is
|
|
||||||
implemented by public license practices. Many people have made
|
|
||||||
generous contributions to the wide range of software distributed
|
|
||||||
through that system in reliance on consistent application of that
|
|
||||||
system; it is up to the author/donor to decide if he or she is willing
|
|
||||||
to distribute software through any other system and a licensee cannot
|
|
||||||
impose that choice.
|
|
||||||
|
|
||||||
This section is intended to make thoroughly clear what is believed to
|
|
||||||
be a consequence of the rest of this License.
|
|
||||||
|
|
||||||
8. If the distribution and/or use of the Program is restricted in
|
|
||||||
certain countries either by patents or by copyrighted interfaces, the
|
|
||||||
original copyright holder who places the Program under this License
|
|
||||||
may add an explicit geographical distribution limitation excluding
|
|
||||||
those countries, so that distribution is permitted only in or among
|
|
||||||
countries not thus excluded. In such case, this License incorporates
|
|
||||||
the limitation as if written in the body of this License.
|
|
||||||
|
|
||||||
9. The Free Software Foundation may publish revised and/or new versions
|
|
||||||
of the General Public License from time to time. Such new versions will
|
|
||||||
be similar in spirit to the present version, but may differ in detail to
|
|
||||||
address new problems or concerns.
|
|
||||||
|
|
||||||
Each version is given a distinguishing version number. If the Program
|
|
||||||
specifies a version number of this License which applies to it and "any
|
|
||||||
later version", you have the option of following the terms and conditions
|
|
||||||
either of that version or of any later version published by the Free
|
|
||||||
Software Foundation. If the Program does not specify a version number of
|
|
||||||
this License, you may choose any version ever published by the Free Software
|
|
||||||
Foundation.
|
|
||||||
|
|
||||||
10. If you wish to incorporate parts of the Program into other free
|
|
||||||
programs whose distribution conditions are different, write to the author
|
|
||||||
to ask for permission. For software which is copyrighted by the Free
|
|
||||||
Software Foundation, write to the Free Software Foundation; we sometimes
|
|
||||||
make exceptions for this. Our decision will be guided by the two goals
|
|
||||||
of preserving the free status of all derivatives of our free software and
|
|
||||||
of promoting the sharing and reuse of software generally.
|
|
||||||
|
|
||||||
NO WARRANTY
|
|
||||||
|
|
||||||
11. BECAUSE THE PROGRAM IS LICENSED FREE OF CHARGE, THERE IS NO WARRANTY
|
|
||||||
FOR THE PROGRAM, TO THE EXTENT PERMITTED BY APPLICABLE LAW. EXCEPT WHEN
|
|
||||||
OTHERWISE STATED IN WRITING THE COPYRIGHT HOLDERS AND/OR OTHER PARTIES
|
|
||||||
PROVIDE THE PROGRAM "AS IS" WITHOUT WARRANTY OF ANY KIND, EITHER EXPRESSED
|
|
||||||
OR IMPLIED, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
|
|
||||||
MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE. THE ENTIRE RISK AS
|
|
||||||
TO THE QUALITY AND PERFORMANCE OF THE PROGRAM IS WITH YOU. SHOULD THE
|
|
||||||
PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF ALL NECESSARY SERVICING,
|
|
||||||
REPAIR OR CORRECTION.
|
|
||||||
|
|
||||||
12. IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING
|
|
||||||
WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MAY MODIFY AND/OR
|
|
||||||
REDISTRIBUTE THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES,
|
|
||||||
INCLUDING ANY GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING
|
|
||||||
OUT OF THE USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED
|
|
||||||
TO LOSS OF DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY
|
|
||||||
YOU OR THIRD PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER
|
|
||||||
PROGRAMS), EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE
|
|
||||||
POSSIBILITY OF SUCH DAMAGES.
|
|
||||||
@@ -1,55 +0,0 @@
|
|||||||
# Seals - Numeric Calculus
|
|
||||||
|
|
||||||
This python namespace is made for applied Numeric Calculus of Linear Algebra. It is made with the following objectives in mind:
|
|
||||||
|
|
||||||
* Scan *csv* files to make a numpy matrix.
|
|
||||||
|
|
||||||
* Write a matrix into a *csv* file
|
|
||||||
|
|
||||||
* Insert user input into a matrix or a vector.
|
|
||||||
|
|
||||||
* Calculate Eigen Values
|
|
||||||
|
|
||||||
* Use methods to proccess the matrices.
|
|
||||||
* Identity Matrix
|
|
||||||
* Gauss Elimination
|
|
||||||
* Inverse Matrix
|
|
||||||
* Cholesky Decomposition
|
|
||||||
* LU Decomposition
|
|
||||||
* Cramer
|
|
||||||
|
|
||||||
## Syntax
|
|
||||||
|
|
||||||
To call the package *scan* use the syntax: `from Seals import scan`. The package also has a function for *Numpy* arrays and *Pandas* dataframes, and used the following syntax `scan.np(path)` for *Numpy* and `scan.pd(path)` for *Pandas*, where `path` is the path to your directory.
|
|
||||||
|
|
||||||
To call the package *write* use the syntax: `from Seals import write`. The package also has a function for *Numpy* arrays and *Pandas* dataframes, and uses the following syntax `write.np(array,path)` for *Numpy*, where `array` is the matrix that you desire to output and `path` is the path to your directory, and `write.pd(df,path)` for *Pandas*, where `df` is the matrix that you desire to output and `path` is the path to your directory.
|
|
||||||
|
|
||||||
To call the package *insert* use the syntax: `from Seals import insert`. The package also has a function for *matrix* and another for *vector*, and it has the following syntax `insert.function(array)`, where `insert` is the *Python Module* and `function` is either a `matrix` or a `vector` and `array` is either a *matrix* or a *vector*.
|
|
||||||
|
|
||||||
There is also a function that given a matrix it return all real eigen values
|
|
||||||
|
|
||||||
### Processes
|
|
||||||
|
|
||||||
To call the module `process` use the syntax: `from Seals import process as sl`, where `sl` is an instance and to use a function you have to append the desired function in front of the instance like: `sl.identity(array)`.
|
|
||||||
|
|
||||||
* The function *identity* returns a *numpy* identity matrix of the order of the matrix passed into to it, and it has the following syntax `sl.identity(array)`, which `array` is a square matrix.
|
|
||||||
|
|
||||||
* The function *gauss* returns a *numpy* vector containing the vector of variables from the augmented matrix. `sl.gauss(matrix)`, which `matrix` is the augmented matrix.
|
|
||||||
|
|
||||||
* The function *inverse* returns a *numpy* inverse matrix of the matrix passed into to it, and it has the following syntax `sl.inverse(matrix)`, which `matrix` is a square matrix.
|
|
||||||
|
|
||||||
* The function *cholesky* returns a *numpy* vector containing the vector of variables from the coefficient matrix and the constants vector, and it has the following syntax `sl.cholesky(A,b)`, which `A` is the coefficient matrix and `b` is the constants vector.
|
|
||||||
|
|
||||||
* The function *decomposition* returns a *numpy* vector containing the vector of variables from the coefficient matrix and the constants vector, and it has the following syntax `sl.cholesky(A,b)`, which `A` is the coefficient matrix and `b` is the constants vector.
|
|
||||||
|
|
||||||
* The function *cramer* returns a *numpy* vector containing the vector of variables from the coefficient matrix and the constants vector, and it has the following syntax `sl.cholesky(A,b)`, which `A` is the coefficient matrix and `b` is the constants vector.
|
|
||||||
|
|
||||||
## Installation
|
|
||||||
|
|
||||||
To install the package from source `cd` into the directory and run:
|
|
||||||
|
|
||||||
`pip install .`
|
|
||||||
|
|
||||||
or run
|
|
||||||
|
|
||||||
`pip install yoshi-seals`
|
|
||||||
@@ -1,18 +0,0 @@
|
|||||||
# Seals - Program made for educational intent, can be freely distributed
|
|
||||||
# and can be used for economical intent. I will not take legal actions
|
|
||||||
# unless my intelectual propperty, the code, is stolen or change without permission.
|
|
||||||
|
|
||||||
# Copyright (C) 2020 VItor Hideyoshi Nakazone Batista
|
|
||||||
|
|
||||||
# This program is free software; you can redistribute it and/or modify
|
|
||||||
# it under the terms of the GNU General Public License version 2 as published by
|
|
||||||
# the Free Software Foundation.
|
|
||||||
|
|
||||||
# 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.
|
|
||||||
Binary file not shown.
@@ -1,20 +0,0 @@
|
|||||||
# Seals - Program made for educational intent, can be freely distributed
|
|
||||||
# and can be used for economical intent. I will not take legal actions
|
|
||||||
# unless my intelectual propperty, the code, is stolen or change without permission.
|
|
||||||
|
|
||||||
# Copyright (C) 2020 VItor Hideyoshi Nakazone Batista
|
|
||||||
|
|
||||||
# This program is free software; you can redistribute it and/or modify
|
|
||||||
# it under the terms of the GNU General Public License version 2 as published by
|
|
||||||
# the Free Software Foundation.
|
|
||||||
|
|
||||||
# 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.
|
|
||||||
|
|
||||||
from .eigen import eigen
|
|
||||||
Binary file not shown.
Binary file not shown.
@@ -1,51 +0,0 @@
|
|||||||
# Seals - Program made for educational intent, can be freely distributed
|
|
||||||
# and can be used for economical intent. I will not take legal actions
|
|
||||||
# unless my intelectual propperty, the code, is stolen or change without permission.
|
|
||||||
|
|
||||||
# Copyright (C) 2020 VItor Hideyoshi Nakazone Batista
|
|
||||||
|
|
||||||
# This program is free software; you can redistribute it and/or modify
|
|
||||||
# it under the terms of the GNU General Public License version 2 as published by
|
|
||||||
# the Free Software Foundation.
|
|
||||||
|
|
||||||
# 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.
|
|
||||||
|
|
||||||
import numpy as np
|
|
||||||
|
|
||||||
def eigen(a):
|
|
||||||
|
|
||||||
k = 0
|
|
||||||
l = np.ones((a.shape[0]))
|
|
||||||
|
|
||||||
while (k < a.shape[0]):
|
|
||||||
|
|
||||||
u = np.random.rand(a.shape[0],1)
|
|
||||||
u = u/max(u.min(), u.max(), key=abs)
|
|
||||||
|
|
||||||
ctrl = 0
|
|
||||||
|
|
||||||
while (ctrl != l[k]):
|
|
||||||
|
|
||||||
ctrl = l[k]
|
|
||||||
u = a.dot(u)
|
|
||||||
l[k] = max(u.min(), u.max(), key=abs)
|
|
||||||
u = u/l[k]
|
|
||||||
|
|
||||||
|
|
||||||
i = 0
|
|
||||||
|
|
||||||
while (u[i] == 0):
|
|
||||||
i += 1
|
|
||||||
|
|
||||||
a = a - (1/u[i])*u*a[i]
|
|
||||||
|
|
||||||
k += 1
|
|
||||||
|
|
||||||
return l
|
|
||||||
@@ -1,21 +0,0 @@
|
|||||||
# Seals - Program made for educational intent, can be freely distributed
|
|
||||||
# and can be used for economical intent. I will not take legal actions
|
|
||||||
# unless my intelectual propperty, the code, is stolen or change without permission.
|
|
||||||
|
|
||||||
# Copyright (C) 2020 VItor Hideyoshi Nakazone Batista
|
|
||||||
|
|
||||||
# This program is free software; you can redistribute it and/or modify
|
|
||||||
# it under the terms of the GNU General Public License version 2 as published by
|
|
||||||
# the Free Software Foundation.
|
|
||||||
|
|
||||||
# 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.
|
|
||||||
|
|
||||||
from .insert import matrix
|
|
||||||
from .insert import vector
|
|
||||||
Binary file not shown.
Binary file not shown.
@@ -1,46 +0,0 @@
|
|||||||
# Seals - Program made for educational intent, can be freely distributed
|
|
||||||
# and can be used for economical intent. I will not take legal actions
|
|
||||||
# unless my intelectual propperty, the code, is stolen or change without permission.
|
|
||||||
|
|
||||||
# Copyright (C) 2020 VItor Hideyoshi Nakazone Batista
|
|
||||||
|
|
||||||
# This program is free software; you can redistribute it and/or modify
|
|
||||||
# it under the terms of the GNU General Public License version 2 as published by
|
|
||||||
# the Free Software Foundation.
|
|
||||||
|
|
||||||
# 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.
|
|
||||||
|
|
||||||
def matrix(matrix):
|
|
||||||
|
|
||||||
i = 0
|
|
||||||
|
|
||||||
while (i < matrix.shape[0]):
|
|
||||||
|
|
||||||
j = 0
|
|
||||||
|
|
||||||
while (j < matrix.shape[1]):
|
|
||||||
|
|
||||||
matrix[i][j] = float(input('Insira o elemento {}x{}: '.format((i+1),(j+1))))
|
|
||||||
j += 1
|
|
||||||
|
|
||||||
i += 1
|
|
||||||
|
|
||||||
return matrix
|
|
||||||
|
|
||||||
def vector(vector):
|
|
||||||
|
|
||||||
j=0
|
|
||||||
|
|
||||||
while (j < vector.shape[0]):
|
|
||||||
|
|
||||||
vector[j] = float(input('Insira o elemento b{}: '.format((j+1))))
|
|
||||||
j += 1
|
|
||||||
|
|
||||||
return vector
|
|
||||||
@@ -1,25 +0,0 @@
|
|||||||
# Seals - Program made for educational intent, can be freely distributed
|
|
||||||
# and can be used for economical intent. I will not take legal actions
|
|
||||||
# unless my intelectual propperty, the code, is stolen or change without permission.
|
|
||||||
|
|
||||||
# Copyright (C) 2020 VItor Hideyoshi Nakazone Batista
|
|
||||||
|
|
||||||
# This program is free software; you can redistribute it and/or modify
|
|
||||||
# it under the terms of the GNU General Public License version 2 as published by
|
|
||||||
# the Free Software Foundation.
|
|
||||||
|
|
||||||
# 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.
|
|
||||||
|
|
||||||
from .process import identity
|
|
||||||
from .process import gauss
|
|
||||||
from .process import inverse
|
|
||||||
from .process import cholesky
|
|
||||||
from .process import decomposition
|
|
||||||
from .process import cramer
|
|
||||||
Binary file not shown.
Binary file not shown.
@@ -1,203 +0,0 @@
|
|||||||
# Seals - Program made for educational intent, can be freely distributed
|
|
||||||
# and can be used for economical intent. I will not take legal actions
|
|
||||||
# unless my intelectual propperty, the code, is stolen or change without permission.
|
|
||||||
|
|
||||||
# Copyright (C) 2020 VItor Hideyoshi Nakazone Batista
|
|
||||||
|
|
||||||
# This program is free software; you can redistribute it and/or modify
|
|
||||||
# it under the terms of the GNU General Public License version 2 as published by
|
|
||||||
# the Free Software Foundation.
|
|
||||||
|
|
||||||
# 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.
|
|
||||||
|
|
||||||
import numpy as np
|
|
||||||
import math
|
|
||||||
|
|
||||||
def identity(matrix):
|
|
||||||
|
|
||||||
i = 0
|
|
||||||
|
|
||||||
while (i < matrix.shape[0]):
|
|
||||||
|
|
||||||
j = 0
|
|
||||||
|
|
||||||
while (j < matrix.shape[0]):
|
|
||||||
|
|
||||||
if (i == j):
|
|
||||||
|
|
||||||
matrix[i][j] = 1
|
|
||||||
|
|
||||||
elif (i != j):
|
|
||||||
|
|
||||||
matrix[i][j] = 0
|
|
||||||
|
|
||||||
j += 1
|
|
||||||
|
|
||||||
i += 1
|
|
||||||
|
|
||||||
return matrix
|
|
||||||
|
|
||||||
def gauss(matrix):
|
|
||||||
|
|
||||||
i = 0
|
|
||||||
k = 0
|
|
||||||
|
|
||||||
while (i < matrix.shape[0]):
|
|
||||||
|
|
||||||
if (matrix[i][i] == 0):
|
|
||||||
|
|
||||||
n = i
|
|
||||||
|
|
||||||
while (matrix[i][i] == 0) and (n < matrix.shape[0]):
|
|
||||||
|
|
||||||
temp = matrix[i].copy()
|
|
||||||
matrix[i] = matrix[n]
|
|
||||||
matrix[n] = temp
|
|
||||||
|
|
||||||
n += 1
|
|
||||||
|
|
||||||
while (k < matrix.shape[0]):
|
|
||||||
|
|
||||||
if (k == i) or (matrix[i][i] == 0):
|
|
||||||
|
|
||||||
k += 1
|
|
||||||
|
|
||||||
else:
|
|
||||||
|
|
||||||
mult = matrix[k][i]/matrix[i][i]
|
|
||||||
matrix[k] = matrix[k] - mult*matrix[i]
|
|
||||||
k += 1
|
|
||||||
|
|
||||||
i += 1
|
|
||||||
k = 0
|
|
||||||
|
|
||||||
i = 0
|
|
||||||
|
|
||||||
while ((i) < matrix.shape[0]) and (matrix[i][i] != 0):
|
|
||||||
|
|
||||||
matrix[i] = matrix[i]/matrix[i][i]
|
|
||||||
i += 1
|
|
||||||
|
|
||||||
return matrix[:,(matrix.shape[0]):]
|
|
||||||
|
|
||||||
def inverse(matrix):
|
|
||||||
|
|
||||||
return gauss(np.hstack((matrix, identity(np.zeros(matrix.shape)))))
|
|
||||||
|
|
||||||
def cholesky(A, b):
|
|
||||||
|
|
||||||
g = np.zeros((A.shape))
|
|
||||||
|
|
||||||
i = 0
|
|
||||||
j = 0
|
|
||||||
|
|
||||||
while j < A.shape[1]:
|
|
||||||
while i < A.shape[0]:
|
|
||||||
|
|
||||||
if i == 0 and j == 0:
|
|
||||||
|
|
||||||
g[i][j] = math.sqrt(A[0][0])
|
|
||||||
|
|
||||||
elif j == 0:
|
|
||||||
|
|
||||||
g[i][j] = A[i][0]/g[0][0]
|
|
||||||
|
|
||||||
elif i == j:
|
|
||||||
|
|
||||||
k = 0
|
|
||||||
theta = 0
|
|
||||||
|
|
||||||
while k < i:
|
|
||||||
|
|
||||||
theta += g[i][k]**2
|
|
||||||
k += 1
|
|
||||||
|
|
||||||
g[i][j] = math.sqrt(A[i][i] - theta)
|
|
||||||
|
|
||||||
else:
|
|
||||||
|
|
||||||
k = 0
|
|
||||||
theta = 0
|
|
||||||
|
|
||||||
while k < j:
|
|
||||||
|
|
||||||
theta += g[i][k]*g[j][k]
|
|
||||||
k += 1
|
|
||||||
|
|
||||||
g[i][j] = (A[i][j] - theta)/g[j][j]
|
|
||||||
|
|
||||||
i += 1
|
|
||||||
|
|
||||||
j += 1
|
|
||||||
i = j
|
|
||||||
|
|
||||||
y = (inverse(g)).dot(b)
|
|
||||||
|
|
||||||
x = (inverse(g.T)).dot(y)
|
|
||||||
|
|
||||||
return x
|
|
||||||
|
|
||||||
def decomposition(U, b):
|
|
||||||
|
|
||||||
L = identity(np.zeros(U.shape))
|
|
||||||
|
|
||||||
i = 0
|
|
||||||
k = 0
|
|
||||||
|
|
||||||
while (i < U.shape[0]):
|
|
||||||
|
|
||||||
k = 0
|
|
||||||
|
|
||||||
if (U[i][i] == 0):
|
|
||||||
|
|
||||||
n = i
|
|
||||||
|
|
||||||
while (U[i][i] == 0) and (n < U.shape[0]):
|
|
||||||
|
|
||||||
temp = U[i].copy()
|
|
||||||
U[i] = U[n]
|
|
||||||
U[n] = temp
|
|
||||||
|
|
||||||
n += 1
|
|
||||||
|
|
||||||
while (k < U.shape[0]):
|
|
||||||
|
|
||||||
if (k <= i) or (U[i][i] == 0):
|
|
||||||
|
|
||||||
k += 1
|
|
||||||
|
|
||||||
else:
|
|
||||||
L[k][i] = U[k][i]/U[i][i]
|
|
||||||
U[k] = U[k] - L[k][i]*U[i]
|
|
||||||
k += 1
|
|
||||||
|
|
||||||
i += 1
|
|
||||||
|
|
||||||
y = (inverse(L)).dot(b)
|
|
||||||
|
|
||||||
x = (inverse(U)).dot(y)
|
|
||||||
|
|
||||||
return x
|
|
||||||
|
|
||||||
def cramer(A, b):
|
|
||||||
|
|
||||||
x = np.vstack(np.zeros(b.shape))
|
|
||||||
k = 0
|
|
||||||
|
|
||||||
while (k < A.shape[0]):
|
|
||||||
|
|
||||||
temp = A.copy()
|
|
||||||
temp[:,k] = b
|
|
||||||
|
|
||||||
x[k] = np.linalg.det(temp)/np.linalg.det(A)
|
|
||||||
|
|
||||||
k += 1
|
|
||||||
|
|
||||||
return x
|
|
||||||
@@ -1,21 +0,0 @@
|
|||||||
# Seals - Program made for educational intent, can be freely distributed
|
|
||||||
# and can be used for economical intent. I will not take legal actions
|
|
||||||
# unless my intelectual propperty, the code, is stolen or change without permission.
|
|
||||||
|
|
||||||
# Copyright (C) 2020 VItor Hideyoshi Nakazone Batista
|
|
||||||
|
|
||||||
# This program is free software; you can redistribute it and/or modify
|
|
||||||
# it under the terms of the GNU General Public License version 2 as published by
|
|
||||||
# the Free Software Foundation.
|
|
||||||
|
|
||||||
# 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.
|
|
||||||
|
|
||||||
from .scan import numpy as np
|
|
||||||
from .scan import pandas as pd
|
|
||||||
Binary file not shown.
Binary file not shown.
@@ -1,45 +0,0 @@
|
|||||||
# Seals - Program made for educational intent, can be freely distributed
|
|
||||||
# and can be used for economical intent. I will not take legal actions
|
|
||||||
# unless my intelectual propperty, the code, is stolen or change without permission.
|
|
||||||
|
|
||||||
# Copyright (C) 2020 VItor Hideyoshi Nakazone Batista
|
|
||||||
|
|
||||||
# This program is free software; you can redistribute it and/or modify
|
|
||||||
# it under the terms of the GNU General Public License version 2 as published by
|
|
||||||
# the Free Software Foundation.
|
|
||||||
|
|
||||||
# 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.
|
|
||||||
|
|
||||||
import numpy as np
|
|
||||||
import pandas as pd
|
|
||||||
|
|
||||||
def numpy(path, sep=None, decimal=None):
|
|
||||||
|
|
||||||
if sep is None:
|
|
||||||
sep = ","
|
|
||||||
|
|
||||||
if decimal is None:
|
|
||||||
decimal = "."
|
|
||||||
|
|
||||||
df=pd.read_csv(path, sep=sep, decimal=decimal, header=None)
|
|
||||||
array = df.to_numpy()
|
|
||||||
|
|
||||||
return array
|
|
||||||
|
|
||||||
def pandas(path, sep=None, decimal=None):
|
|
||||||
|
|
||||||
if sep is None:
|
|
||||||
sep = ","
|
|
||||||
|
|
||||||
if decimal is None:
|
|
||||||
decimal = "."
|
|
||||||
|
|
||||||
return pd.read_csv(path, sep=sep, decimal=decimal)
|
|
||||||
|
|
||||||
@@ -1,21 +0,0 @@
|
|||||||
# Seals - Program made for educational intent, can be freely distributed
|
|
||||||
# and can be used for economical intent. I will not take legal actions
|
|
||||||
# unless my intelectual propperty, the code, is stolen or change without permission.
|
|
||||||
|
|
||||||
# Copyright (C) 2020 VItor Hideyoshi Nakazone Batista
|
|
||||||
|
|
||||||
# This program is free software; you can redistribute it and/or modify
|
|
||||||
# it under the terms of the GNU General Public License version 2 as published by
|
|
||||||
# the Free Software Foundation.
|
|
||||||
|
|
||||||
# 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.
|
|
||||||
|
|
||||||
from .write import numpy as np
|
|
||||||
from .write import pandas as pd
|
|
||||||
Some files were not shown because too many files have changed in this diff Show More
Reference in New Issue
Block a user