Add 'LinearAlgebra/' from commit 'b60b248f7529a56244681bce0b204443abceacb2'
git-subtree-dir: LinearAlgebra git-subtree-mainline: b87c4df0e3c2ee2aaf58bb8446d4b970d6fcb433 git-subtree-split: b60b248f7529a56244681bce0b204443abceacb2
This commit is contained in:
commit
208b9056dc
170
LinearAlgebra/.gitignore
vendored
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170
LinearAlgebra/.gitignore
vendored
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|
|||||||
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# ---> Python
|
||||||
|
# Byte-compiled / optimized / DLL files
|
||||||
|
__pycache__/
|
||||||
|
*.py[cod]
|
||||||
|
*$py.class
|
||||||
|
|
||||||
|
# C extensions
|
||||||
|
*.so
|
||||||
|
|
||||||
|
# Distribution / packaging
|
||||||
|
.Python
|
||||||
|
build/
|
||||||
|
develop-eggs/
|
||||||
|
dist/
|
||||||
|
downloads/
|
||||||
|
eggs/
|
||||||
|
.eggs/
|
||||||
|
lib/
|
||||||
|
lib64/
|
||||||
|
parts/
|
||||||
|
sdist/
|
||||||
|
var/
|
||||||
|
wheels/
|
||||||
|
share/python-wheels/
|
||||||
|
*.egg-info/
|
||||||
|
.installed.cfg
|
||||||
|
*.egg
|
||||||
|
MANIFEST
|
||||||
|
|
||||||
|
# PyInstaller
|
||||||
|
# Usually these files are written by a python script from a template
|
||||||
|
# before PyInstaller builds the exe, so as to inject date/other infos into it.
|
||||||
|
*.manifest
|
||||||
|
*.spec
|
||||||
|
|
||||||
|
# Installer logs
|
||||||
|
pip-log.txt
|
||||||
|
pip-delete-this-directory.txt
|
||||||
|
|
||||||
|
# Unit test / coverage reports
|
||||||
|
htmlcov/
|
||||||
|
.tox/
|
||||||
|
.nox/
|
||||||
|
.coverage
|
||||||
|
.coverage.*
|
||||||
|
.cache
|
||||||
|
nosetests.xml
|
||||||
|
coverage.xml
|
||||||
|
*.cover
|
||||||
|
*.py,cover
|
||||||
|
.hypothesis/
|
||||||
|
.pytest_cache/
|
||||||
|
cover/
|
||||||
|
|
||||||
|
# Translations
|
||||||
|
*.mo
|
||||||
|
*.pot
|
||||||
|
|
||||||
|
# Django stuff:
|
||||||
|
*.log
|
||||||
|
local_settings.py
|
||||||
|
db.sqlite3
|
||||||
|
db.sqlite3-journal
|
||||||
|
|
||||||
|
# Flask stuff:
|
||||||
|
instance/
|
||||||
|
.webassets-cache
|
||||||
|
|
||||||
|
# Scrapy stuff:
|
||||||
|
.scrapy
|
||||||
|
|
||||||
|
# Sphinx documentation
|
||||||
|
docs/_build/
|
||||||
|
|
||||||
|
# PyBuilder
|
||||||
|
.pybuilder/
|
||||||
|
target/
|
||||||
|
|
||||||
|
# Jupyter Notebook
|
||||||
|
.ipynb_checkpoints
|
||||||
|
|
||||||
|
# IPython
|
||||||
|
profile_default/
|
||||||
|
ipython_config.py
|
||||||
|
|
||||||
|
# pyenv
|
||||||
|
# For a library or package, you might want to ignore these files since the code is
|
||||||
|
# intended to run in multiple environments; otherwise, check them in:
|
||||||
|
# .python-version
|
||||||
|
|
||||||
|
# pipenv
|
||||||
|
# According to pypa/pipenv#598, it is recommended to include Pipfile.lock in version control.
|
||||||
|
# However, in case of collaboration, if having platform-specific dependencies or dependencies
|
||||||
|
# having no cross-platform support, pipenv may install dependencies that don't work, or not
|
||||||
|
# install all needed dependencies.
|
||||||
|
#Pipfile.lock
|
||||||
|
|
||||||
|
# UV
|
||||||
|
# Similar to Pipfile.lock, it is generally recommended to include uv.lock in version control.
|
||||||
|
# This is especially recommended for binary packages to ensure reproducibility, and is more
|
||||||
|
# commonly ignored for libraries.
|
||||||
|
#uv.lock
|
||||||
|
|
||||||
|
# poetry
|
||||||
|
# Similar to Pipfile.lock, it is generally recommended to include poetry.lock in version control.
|
||||||
|
# This is especially recommended for binary packages to ensure reproducibility, and is more
|
||||||
|
# commonly ignored for libraries.
|
||||||
|
# https://python-poetry.org/docs/basic-usage/#commit-your-poetrylock-file-to-version-control
|
||||||
|
#poetry.lock
|
||||||
|
|
||||||
|
# pdm
|
||||||
|
# Similar to Pipfile.lock, it is generally recommended to include pdm.lock in version control.
|
||||||
|
#pdm.lock
|
||||||
|
# pdm stores project-wide configurations in .pdm.toml, but it is recommended to not include it
|
||||||
|
# in version control.
|
||||||
|
# https://pdm.fming.dev/latest/usage/project/#working-with-version-control
|
||||||
|
.pdm.toml
|
||||||
|
.pdm-python
|
||||||
|
.pdm-build/
|
||||||
|
|
||||||
|
# PEP 582; used by e.g. github.com/David-OConnor/pyflow and github.com/pdm-project/pdm
|
||||||
|
__pypackages__/
|
||||||
|
|
||||||
|
# Celery stuff
|
||||||
|
celerybeat-schedule
|
||||||
|
celerybeat.pid
|
||||||
|
|
||||||
|
# SageMath parsed files
|
||||||
|
*.sage.py
|
||||||
|
|
||||||
|
# Environments
|
||||||
|
.env
|
||||||
|
.venv
|
||||||
|
env/
|
||||||
|
venv/
|
||||||
|
ENV/
|
||||||
|
env.bak/
|
||||||
|
venv.bak/
|
||||||
|
|
||||||
|
# Spyder project settings
|
||||||
|
.spyderproject
|
||||||
|
.spyproject
|
||||||
|
|
||||||
|
# Rope project settings
|
||||||
|
.ropeproject
|
||||||
|
|
||||||
|
# mkdocs documentation
|
||||||
|
/site
|
||||||
|
|
||||||
|
# mypy
|
||||||
|
.mypy_cache/
|
||||||
|
.dmypy.json
|
||||||
|
dmypy.json
|
||||||
|
|
||||||
|
# Pyre type checker
|
||||||
|
.pyre/
|
||||||
|
|
||||||
|
# pytype static type analyzer
|
||||||
|
.pytype/
|
||||||
|
|
||||||
|
# Cython debug symbols
|
||||||
|
cython_debug/
|
||||||
|
|
||||||
|
# PyCharm
|
||||||
|
# JetBrains specific template is maintained in a separate JetBrains.gitignore that can
|
||||||
|
# be found at https://github.com/github/gitignore/blob/main/Global/JetBrains.gitignore
|
||||||
|
# and can be added to the global gitignore or merged into this file. For a more nuclear
|
||||||
|
# option (not recommended) you can uncomment the following to ignore the entire idea folder.
|
||||||
|
#.idea/
|
||||||
|
|
11
LinearAlgebra/.vscode/settings.json
vendored
Normal file
11
LinearAlgebra/.vscode/settings.json
vendored
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@ -0,0 +1,11 @@
|
|||||||
|
{
|
||||||
|
"python.testing.unittestArgs": [
|
||||||
|
"-v",
|
||||||
|
"-s",
|
||||||
|
"./test",
|
||||||
|
"-p",
|
||||||
|
"*_test.py"
|
||||||
|
],
|
||||||
|
"python.testing.pytestEnabled": false,
|
||||||
|
"python.testing.unittestEnabled": true
|
||||||
|
}
|
13
LinearAlgebra/Angle.py
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13
LinearAlgebra/Angle.py
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@ -0,0 +1,13 @@
|
|||||||
|
import math
|
||||||
|
|
||||||
|
class Angle:
|
||||||
|
Rad2Deg = 360 / (math.pi * 2)
|
||||||
|
Deg2Rad = (math.pi * 2) / 360
|
||||||
|
|
||||||
|
@staticmethod
|
||||||
|
def Normalize(angle):
|
||||||
|
while angle < -180:
|
||||||
|
angle += 360
|
||||||
|
while angle >= 180:
|
||||||
|
angle -= 360
|
||||||
|
return angle
|
52
LinearAlgebra/Direction.py
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52
LinearAlgebra/Direction.py
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|
|||||||
|
import math
|
||||||
|
from LinearAlgebra.Angle import Angle
|
||||||
|
|
||||||
|
class Direction:
|
||||||
|
def __init__(self, horizontal=0, vertical=0):
|
||||||
|
self.horizontal: float = Angle.Normalize(horizontal)
|
||||||
|
self.vertical: float = Angle.Normalize(vertical)
|
||||||
|
self.Normalize()
|
||||||
|
|
||||||
|
@staticmethod
|
||||||
|
def Degrees(horizontal: float, vertical: float):
|
||||||
|
direction = Direction (horizontal, vertical)
|
||||||
|
return direction
|
||||||
|
|
||||||
|
def __add__(self, other):
|
||||||
|
return Direction(self.horizontal + other.x, self.vertical + other.y)
|
||||||
|
|
||||||
|
def __neg__(self):
|
||||||
|
return Direction(self.horizontal + 180, -self.vertical)
|
||||||
|
|
||||||
|
def __sub__(self, other):
|
||||||
|
return Direction(self.horizontal - other.x, self.vertical - other.y)
|
||||||
|
|
||||||
|
def __mul__(self, scalar):
|
||||||
|
return Direction(self.horizontal * scalar, self.vertical * scalar)
|
||||||
|
|
||||||
|
def __truediv__(self, scalar):
|
||||||
|
if scalar != 0:
|
||||||
|
return Direction(self.horizontal / scalar, self.vertical / scalar)
|
||||||
|
else:
|
||||||
|
raise ValueError("Cannot divide by zero")
|
||||||
|
|
||||||
|
def Magnitude(self):
|
||||||
|
return math.sqrt(self.horizontal**2 + self.vertical**2)
|
||||||
|
|
||||||
|
def Normalize(self):
|
||||||
|
if self.vertical > 90 or self.vertical < -90:
|
||||||
|
self.horizontal += 180
|
||||||
|
self.verical = 180 - self.verical
|
||||||
|
|
||||||
|
def Dot(self, other):
|
||||||
|
return self.horizontal * other.x + self.vertical * other.y
|
||||||
|
|
||||||
|
def __repr__(self):
|
||||||
|
return f"Direction(x={self.horizontal}, y={self.vertical})"
|
||||||
|
|
||||||
|
Direction.forward = Direction(0, 0)
|
||||||
|
Direction.backward = Direction(-180, 0)
|
||||||
|
Direction.up = Direction(0, 90)
|
||||||
|
Direction.down = Direction(0, -90)
|
||||||
|
Direction.left = Direction(-90, 0)
|
||||||
|
Direction.right = Direction(90, 0)
|
373
LinearAlgebra/LICENSE
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373
LinearAlgebra/LICENSE
Normal file
@ -0,0 +1,373 @@
|
|||||||
|
Mozilla Public License Version 2.0
|
||||||
|
==================================
|
||||||
|
|
||||||
|
1. Definitions
|
||||||
|
--------------
|
||||||
|
|
||||||
|
1.1. "Contributor"
|
||||||
|
means each individual or legal entity that creates, contributes to
|
||||||
|
the creation of, or owns Covered Software.
|
||||||
|
|
||||||
|
1.2. "Contributor Version"
|
||||||
|
means the combination of the Contributions of others (if any) used
|
||||||
|
by a Contributor and that particular Contributor's Contribution.
|
||||||
|
|
||||||
|
1.3. "Contribution"
|
||||||
|
means Covered Software of a particular Contributor.
|
||||||
|
|
||||||
|
1.4. "Covered Software"
|
||||||
|
means Source Code Form to which the initial Contributor has attached
|
||||||
|
the notice in Exhibit A, the Executable Form of such Source Code
|
||||||
|
Form, and Modifications of such Source Code Form, in each case
|
||||||
|
including portions thereof.
|
||||||
|
|
||||||
|
1.5. "Incompatible With Secondary Licenses"
|
||||||
|
means
|
||||||
|
|
||||||
|
(a) that the initial Contributor has attached the notice described
|
||||||
|
in Exhibit B to the Covered Software; or
|
||||||
|
|
||||||
|
(b) that the Covered Software was made available under the terms of
|
||||||
|
version 1.1 or earlier of the License, but not also under the
|
||||||
|
terms of a Secondary License.
|
||||||
|
|
||||||
|
1.6. "Executable Form"
|
||||||
|
means any form of the work other than Source Code Form.
|
||||||
|
|
||||||
|
1.7. "Larger Work"
|
||||||
|
means a work that combines Covered Software with other material, in
|
||||||
|
a separate file or files, that is not Covered Software.
|
||||||
|
|
||||||
|
1.8. "License"
|
||||||
|
means this document.
|
||||||
|
|
||||||
|
1.9. "Licensable"
|
||||||
|
means having the right to grant, to the maximum extent possible,
|
||||||
|
whether at the time of the initial grant or subsequently, any and
|
||||||
|
all of the rights conveyed by this License.
|
||||||
|
|
||||||
|
1.10. "Modifications"
|
||||||
|
means any of the following:
|
||||||
|
|
||||||
|
(a) any file in Source Code Form that results from an addition to,
|
||||||
|
deletion from, or modification of the contents of Covered
|
||||||
|
Software; or
|
||||||
|
|
||||||
|
(b) any new file in Source Code Form that contains any Covered
|
||||||
|
Software.
|
||||||
|
|
||||||
|
1.11. "Patent Claims" of a Contributor
|
||||||
|
means any patent claim(s), including without limitation, method,
|
||||||
|
process, and apparatus claims, in any patent Licensable by such
|
||||||
|
Contributor that would be infringed, but for the grant of the
|
||||||
|
License, by the making, using, selling, offering for sale, having
|
||||||
|
made, import, or transfer of either its Contributions or its
|
||||||
|
Contributor Version.
|
||||||
|
|
||||||
|
1.12. "Secondary License"
|
||||||
|
means either the GNU General Public License, Version 2.0, the GNU
|
||||||
|
Lesser General Public License, Version 2.1, the GNU Affero General
|
||||||
|
Public License, Version 3.0, or any later versions of those
|
||||||
|
licenses.
|
||||||
|
|
||||||
|
1.13. "Source Code Form"
|
||||||
|
means the form of the work preferred for making modifications.
|
||||||
|
|
||||||
|
1.14. "You" (or "Your")
|
||||||
|
means an individual or a legal entity exercising rights under this
|
||||||
|
License. For legal entities, "You" includes any entity that
|
||||||
|
controls, is controlled by, or is under common control with You. For
|
||||||
|
purposes of this definition, "control" means (a) the power, direct
|
||||||
|
or indirect, to cause the direction or management of such entity,
|
||||||
|
whether by contract or otherwise, or (b) ownership of more than
|
||||||
|
fifty percent (50%) of the outstanding shares or beneficial
|
||||||
|
ownership of such entity.
|
||||||
|
|
||||||
|
2. License Grants and Conditions
|
||||||
|
--------------------------------
|
||||||
|
|
||||||
|
2.1. Grants
|
||||||
|
|
||||||
|
Each Contributor hereby grants You a world-wide, royalty-free,
|
||||||
|
non-exclusive license:
|
||||||
|
|
||||||
|
(a) under intellectual property rights (other than patent or trademark)
|
||||||
|
Licensable by such Contributor to use, reproduce, make available,
|
||||||
|
modify, display, perform, distribute, and otherwise exploit its
|
||||||
|
Contributions, either on an unmodified basis, with Modifications, or
|
||||||
|
as part of a Larger Work; and
|
||||||
|
|
||||||
|
(b) under Patent Claims of such Contributor to make, use, sell, offer
|
||||||
|
for sale, have made, import, and otherwise transfer either its
|
||||||
|
Contributions or its Contributor Version.
|
||||||
|
|
||||||
|
2.2. Effective Date
|
||||||
|
|
||||||
|
The licenses granted in Section 2.1 with respect to any Contribution
|
||||||
|
become effective for each Contribution on the date the Contributor first
|
||||||
|
distributes such Contribution.
|
||||||
|
|
||||||
|
2.3. Limitations on Grant Scope
|
||||||
|
|
||||||
|
The licenses granted in this Section 2 are the only rights granted under
|
||||||
|
this License. No additional rights or licenses will be implied from the
|
||||||
|
distribution or licensing of Covered Software under this License.
|
||||||
|
Notwithstanding Section 2.1(b) above, no patent license is granted by a
|
||||||
|
Contributor:
|
||||||
|
|
||||||
|
(a) for any code that a Contributor has removed from Covered Software;
|
||||||
|
or
|
||||||
|
|
||||||
|
(b) for infringements caused by: (i) Your and any other third party's
|
||||||
|
modifications of Covered Software, or (ii) the combination of its
|
||||||
|
Contributions with other software (except as part of its Contributor
|
||||||
|
Version); or
|
||||||
|
|
||||||
|
(c) under Patent Claims infringed by Covered Software in the absence of
|
||||||
|
its Contributions.
|
||||||
|
|
||||||
|
This License does not grant any rights in the trademarks, service marks,
|
||||||
|
or logos of any Contributor (except as may be necessary to comply with
|
||||||
|
the notice requirements in Section 3.4).
|
||||||
|
|
||||||
|
2.4. Subsequent Licenses
|
||||||
|
|
||||||
|
No Contributor makes additional grants as a result of Your choice to
|
||||||
|
distribute the Covered Software under a subsequent version of this
|
||||||
|
License (see Section 10.2) or under the terms of a Secondary License (if
|
||||||
|
permitted under the terms of Section 3.3).
|
||||||
|
|
||||||
|
2.5. Representation
|
||||||
|
|
||||||
|
Each Contributor represents that the Contributor believes its
|
||||||
|
Contributions are its original creation(s) or it has sufficient rights
|
||||||
|
to grant the rights to its Contributions conveyed by this License.
|
||||||
|
|
||||||
|
2.6. Fair Use
|
||||||
|
|
||||||
|
This License is not intended to limit any rights You have under
|
||||||
|
applicable copyright doctrines of fair use, fair dealing, or other
|
||||||
|
equivalents.
|
||||||
|
|
||||||
|
2.7. Conditions
|
||||||
|
|
||||||
|
Sections 3.1, 3.2, 3.3, and 3.4 are conditions of the licenses granted
|
||||||
|
in Section 2.1.
|
||||||
|
|
||||||
|
3. Responsibilities
|
||||||
|
-------------------
|
||||||
|
|
||||||
|
3.1. Distribution of Source Form
|
||||||
|
|
||||||
|
All distribution of Covered Software in Source Code Form, including any
|
||||||
|
Modifications that You create or to which You contribute, must be under
|
||||||
|
the terms of this License. You must inform recipients that the Source
|
||||||
|
Code Form of the Covered Software is governed by the terms of this
|
||||||
|
License, and how they can obtain a copy of this License. You may not
|
||||||
|
attempt to alter or restrict the recipients' rights in the Source Code
|
||||||
|
Form.
|
||||||
|
|
||||||
|
3.2. Distribution of Executable Form
|
||||||
|
|
||||||
|
If You distribute Covered Software in Executable Form then:
|
||||||
|
|
||||||
|
(a) such Covered Software must also be made available in Source Code
|
||||||
|
Form, as described in Section 3.1, and You must inform recipients of
|
||||||
|
the Executable Form how they can obtain a copy of such Source Code
|
||||||
|
Form by reasonable means in a timely manner, at a charge no more
|
||||||
|
than the cost of distribution to the recipient; and
|
||||||
|
|
||||||
|
(b) You may distribute such Executable Form under the terms of this
|
||||||
|
License, or sublicense it under different terms, provided that the
|
||||||
|
license for the Executable Form does not attempt to limit or alter
|
||||||
|
the recipients' rights in the Source Code Form under this License.
|
||||||
|
|
||||||
|
3.3. Distribution of a Larger Work
|
||||||
|
|
||||||
|
You may create and distribute a Larger Work under terms of Your choice,
|
||||||
|
provided that You also comply with the requirements of this License for
|
||||||
|
the Covered Software. If the Larger Work is a combination of Covered
|
||||||
|
Software with a work governed by one or more Secondary Licenses, and the
|
||||||
|
Covered Software is not Incompatible With Secondary Licenses, this
|
||||||
|
License permits You to additionally distribute such Covered Software
|
||||||
|
under the terms of such Secondary License(s), so that the recipient of
|
||||||
|
the Larger Work may, at their option, further distribute the Covered
|
||||||
|
Software under the terms of either this License or such Secondary
|
||||||
|
License(s).
|
||||||
|
|
||||||
|
3.4. Notices
|
||||||
|
|
||||||
|
You may not remove or alter the substance of any license notices
|
||||||
|
(including copyright notices, patent notices, disclaimers of warranty,
|
||||||
|
or limitations of liability) contained within the Source Code Form of
|
||||||
|
the Covered Software, except that You may alter any license notices to
|
||||||
|
the extent required to remedy known factual inaccuracies.
|
||||||
|
|
||||||
|
3.5. Application of Additional Terms
|
||||||
|
|
||||||
|
You may choose to offer, and to charge a fee for, warranty, support,
|
||||||
|
indemnity or liability obligations to one or more recipients of Covered
|
||||||
|
Software. However, You may do so only on Your own behalf, and not on
|
||||||
|
behalf of any Contributor. You must make it absolutely clear that any
|
||||||
|
such warranty, support, indemnity, or liability obligation is offered by
|
||||||
|
You alone, and You hereby agree to indemnify every Contributor for any
|
||||||
|
liability incurred by such Contributor as a result of warranty, support,
|
||||||
|
indemnity or liability terms You offer. You may include additional
|
||||||
|
disclaimers of warranty and limitations of liability specific to any
|
||||||
|
jurisdiction.
|
||||||
|
|
||||||
|
4. Inability to Comply Due to Statute or Regulation
|
||||||
|
---------------------------------------------------
|
||||||
|
|
||||||
|
If it is impossible for You to comply with any of the terms of this
|
||||||
|
License with respect to some or all of the Covered Software due to
|
||||||
|
statute, judicial order, or regulation then You must: (a) comply with
|
||||||
|
the terms of this License to the maximum extent possible; and (b)
|
||||||
|
describe the limitations and the code they affect. Such description must
|
||||||
|
be placed in a text file included with all distributions of the Covered
|
||||||
|
Software under this License. Except to the extent prohibited by statute
|
||||||
|
or regulation, such description must be sufficiently detailed for a
|
||||||
|
recipient of ordinary skill to be able to understand it.
|
||||||
|
|
||||||
|
5. Termination
|
||||||
|
--------------
|
||||||
|
|
||||||
|
5.1. The rights granted under this License will terminate automatically
|
||||||
|
if You fail to comply with any of its terms. However, if You become
|
||||||
|
compliant, then the rights granted under this License from a particular
|
||||||
|
Contributor are reinstated (a) provisionally, unless and until such
|
||||||
|
Contributor explicitly and finally terminates Your grants, and (b) on an
|
||||||
|
ongoing basis, if such Contributor fails to notify You of the
|
||||||
|
non-compliance by some reasonable means prior to 60 days after You have
|
||||||
|
come back into compliance. Moreover, Your grants from a particular
|
||||||
|
Contributor are reinstated on an ongoing basis if such Contributor
|
||||||
|
notifies You of the non-compliance by some reasonable means, this is the
|
||||||
|
first time You have received notice of non-compliance with this License
|
||||||
|
from such Contributor, and You become compliant prior to 30 days after
|
||||||
|
Your receipt of the notice.
|
||||||
|
|
||||||
|
5.2. If You initiate litigation against any entity by asserting a patent
|
||||||
|
infringement claim (excluding declaratory judgment actions,
|
||||||
|
counter-claims, and cross-claims) alleging that a Contributor Version
|
||||||
|
directly or indirectly infringes any patent, then the rights granted to
|
||||||
|
You by any and all Contributors for the Covered Software under Section
|
||||||
|
2.1 of this License shall terminate.
|
||||||
|
|
||||||
|
5.3. In the event of termination under Sections 5.1 or 5.2 above, all
|
||||||
|
end user license agreements (excluding distributors and resellers) which
|
||||||
|
have been validly granted by You or Your distributors under this License
|
||||||
|
prior to termination shall survive termination.
|
||||||
|
|
||||||
|
************************************************************************
|
||||||
|
* *
|
||||||
|
* 6. Disclaimer of Warranty *
|
||||||
|
* ------------------------- *
|
||||||
|
* *
|
||||||
|
* Covered Software is provided under this License on an "as is" *
|
||||||
|
* basis, without warranty of any kind, either expressed, implied, or *
|
||||||
|
* statutory, including, without limitation, warranties that the *
|
||||||
|
* Covered Software is free of defects, merchantable, fit for a *
|
||||||
|
* particular purpose or non-infringing. The entire risk as to the *
|
||||||
|
* quality and performance of the Covered Software is with You. *
|
||||||
|
* Should any Covered Software prove defective in any respect, You *
|
||||||
|
* (not any Contributor) assume the cost of any necessary servicing, *
|
||||||
|
* repair, or correction. This disclaimer of warranty constitutes an *
|
||||||
|
* essential part of this License. No use of any Covered Software is *
|
||||||
|
* authorized under this License except under this disclaimer. *
|
||||||
|
* *
|
||||||
|
************************************************************************
|
||||||
|
|
||||||
|
************************************************************************
|
||||||
|
* *
|
||||||
|
* 7. Limitation of Liability *
|
||||||
|
* -------------------------- *
|
||||||
|
* *
|
||||||
|
* Under no circumstances and under no legal theory, whether tort *
|
||||||
|
* (including negligence), contract, or otherwise, shall any *
|
||||||
|
* Contributor, or anyone who distributes Covered Software as *
|
||||||
|
* permitted above, be liable to You for any direct, indirect, *
|
||||||
|
* special, incidental, or consequential damages of any character *
|
||||||
|
* including, without limitation, damages for lost profits, loss of *
|
||||||
|
* goodwill, work stoppage, computer failure or malfunction, or any *
|
||||||
|
* and all other commercial damages or losses, even if such party *
|
||||||
|
* shall have been informed of the possibility of such damages. This *
|
||||||
|
* limitation of liability shall not apply to liability for death or *
|
||||||
|
* personal injury resulting from such party's negligence to the *
|
||||||
|
* extent applicable law prohibits such limitation. Some *
|
||||||
|
* jurisdictions do not allow the exclusion or limitation of *
|
||||||
|
* incidental or consequential damages, so this exclusion and *
|
||||||
|
* limitation may not apply to You. *
|
||||||
|
* *
|
||||||
|
************************************************************************
|
||||||
|
|
||||||
|
8. Litigation
|
||||||
|
-------------
|
||||||
|
|
||||||
|
Any litigation relating to this License may be brought only in the
|
||||||
|
courts of a jurisdiction where the defendant maintains its principal
|
||||||
|
place of business and such litigation shall be governed by laws of that
|
||||||
|
jurisdiction, without reference to its conflict-of-law provisions.
|
||||||
|
Nothing in this Section shall prevent a party's ability to bring
|
||||||
|
cross-claims or counter-claims.
|
||||||
|
|
||||||
|
9. Miscellaneous
|
||||||
|
----------------
|
||||||
|
|
||||||
|
This License represents the complete agreement concerning the subject
|
||||||
|
matter hereof. If any provision of this License is held to be
|
||||||
|
unenforceable, such provision shall be reformed only to the extent
|
||||||
|
necessary to make it enforceable. Any law or regulation which provides
|
||||||
|
that the language of a contract shall be construed against the drafter
|
||||||
|
shall not be used to construe this License against a Contributor.
|
||||||
|
|
||||||
|
10. Versions of the License
|
||||||
|
---------------------------
|
||||||
|
|
||||||
|
10.1. New Versions
|
||||||
|
|
||||||
|
Mozilla Foundation is the license steward. Except as provided in Section
|
||||||
|
10.3, no one other than the license steward has the right to modify or
|
||||||
|
publish new versions of this License. Each version will be given a
|
||||||
|
distinguishing version number.
|
||||||
|
|
||||||
|
10.2. Effect of New Versions
|
||||||
|
|
||||||
|
You may distribute the Covered Software under the terms of the version
|
||||||
|
of the License under which You originally received the Covered Software,
|
||||||
|
or under the terms of any subsequent version published by the license
|
||||||
|
steward.
|
||||||
|
|
||||||
|
10.3. Modified Versions
|
||||||
|
|
||||||
|
If you create software not governed by this License, and you want to
|
||||||
|
create a new license for such software, you may create and use a
|
||||||
|
modified version of this License if you rename the license and remove
|
||||||
|
any references to the name of the license steward (except to note that
|
||||||
|
such modified license differs from this License).
|
||||||
|
|
||||||
|
10.4. Distributing Source Code Form that is Incompatible With Secondary
|
||||||
|
Licenses
|
||||||
|
|
||||||
|
If You choose to distribute Source Code Form that is Incompatible With
|
||||||
|
Secondary Licenses under the terms of this version of the License, the
|
||||||
|
notice described in Exhibit B of this License must be attached.
|
||||||
|
|
||||||
|
Exhibit A - Source Code Form License Notice
|
||||||
|
-------------------------------------------
|
||||||
|
|
||||||
|
This Source Code Form is subject to the terms of the Mozilla Public
|
||||||
|
License, v. 2.0. If a copy of the MPL was not distributed with this
|
||||||
|
file, You can obtain one at https://mozilla.org/MPL/2.0/.
|
||||||
|
|
||||||
|
If it is not possible or desirable to put the notice in a particular
|
||||||
|
file, then You may include the notice in a location (such as a LICENSE
|
||||||
|
file in a relevant directory) where a recipient would be likely to look
|
||||||
|
for such a notice.
|
||||||
|
|
||||||
|
You may add additional accurate notices of copyright ownership.
|
||||||
|
|
||||||
|
Exhibit B - "Incompatible With Secondary Licenses" Notice
|
||||||
|
---------------------------------------------------------
|
||||||
|
|
||||||
|
This Source Code Form is "Incompatible With Secondary Licenses", as
|
||||||
|
defined by the Mozilla Public License, v. 2.0.
|
44
LinearAlgebra/Quaternion.py
Normal file
44
LinearAlgebra/Quaternion.py
Normal file
@ -0,0 +1,44 @@
|
|||||||
|
import math
|
||||||
|
|
||||||
|
Deg2Rad = (math.pi * 2) / 360
|
||||||
|
|
||||||
|
class Quaternion:
|
||||||
|
|
||||||
|
def __init__(self):
|
||||||
|
self.x = 0
|
||||||
|
self.y = 0
|
||||||
|
self.z = 0
|
||||||
|
self.w = 1
|
||||||
|
|
||||||
|
@staticmethod
|
||||||
|
def Euler(x, y, z):
|
||||||
|
yaw = x * Deg2Rad
|
||||||
|
pitch = y * Deg2Rad
|
||||||
|
roll = z * Deg2Rad
|
||||||
|
|
||||||
|
roll_over_2 = roll * 0.5
|
||||||
|
sin_roll_over_2 = math.sin(roll_over_2)
|
||||||
|
cos_roll_over_2 = math.cos(roll_over_2)
|
||||||
|
|
||||||
|
pitch_over_2 = pitch * 0.5
|
||||||
|
sin_pitch_over_2 = math.sin(pitch_over_2)
|
||||||
|
cos_pitch_over_2 = math.cos(pitch_over_2)
|
||||||
|
|
||||||
|
yaw_over_2 = yaw * 0.5
|
||||||
|
sin_yaw_over_2 = math.sin(yaw_over_2)
|
||||||
|
cos_yaw_over_2 = math.cos(yaw_over_2)
|
||||||
|
|
||||||
|
result = Quaternion()
|
||||||
|
result.w = (cos_yaw_over_2 * cos_pitch_over_2 * cos_roll_over_2 +
|
||||||
|
sin_yaw_over_2 * sin_pitch_over_2 * sin_roll_over_2)
|
||||||
|
result.x = (sin_yaw_over_2 * cos_pitch_over_2 * cos_roll_over_2 +
|
||||||
|
cos_yaw_over_2 * sin_pitch_over_2 * sin_roll_over_2)
|
||||||
|
result.y = (cos_yaw_over_2 * sin_pitch_over_2 * cos_roll_over_2 -
|
||||||
|
sin_yaw_over_2 * cos_pitch_over_2 * sin_roll_over_2)
|
||||||
|
result.z = (cos_yaw_over_2 * cos_pitch_over_2 * sin_roll_over_2 -
|
||||||
|
sin_yaw_over_2 * sin_pitch_over_2 * cos_roll_over_2)
|
||||||
|
|
||||||
|
return result
|
||||||
|
|
||||||
|
|
||||||
|
Quaternion.identity = Quaternion()
|
2
LinearAlgebra/README.md
Normal file
2
LinearAlgebra/README.md
Normal file
@ -0,0 +1,2 @@
|
|||||||
|
# LinearAlgebra-python
|
||||||
|
|
41
LinearAlgebra/Spherical.py
Normal file
41
LinearAlgebra/Spherical.py
Normal file
@ -0,0 +1,41 @@
|
|||||||
|
import math
|
||||||
|
from LinearAlgebra.Direction import Direction
|
||||||
|
|
||||||
|
class Spherical:
|
||||||
|
def __init__(self, distance, direction):
|
||||||
|
if distance < 0:
|
||||||
|
self.distance = -distance
|
||||||
|
self.direction = -direction
|
||||||
|
else:
|
||||||
|
self.distance: float = distance
|
||||||
|
self.direction: Direction = direction
|
||||||
|
|
||||||
|
# def __init__(self, distance, horizontal, vertical):
|
||||||
|
# self.distance = distance
|
||||||
|
# self.direction = Direction(horizontal, vertical)
|
||||||
|
|
||||||
|
def to_cartesian(self):
|
||||||
|
x = self.distance * math.sin(self.direction.horizontal) * math.cos(self.direction.vertical)
|
||||||
|
y = self.distance * math.sin(self.direction.horizontal) * math.sin(self.direction.vertical)
|
||||||
|
z = self.distance * math.cos(self.direction.horizontal)
|
||||||
|
return x, y, z
|
||||||
|
|
||||||
|
def from_cartesian(self, x, y, z):
|
||||||
|
self.distance = math.sqrt(x**2 + y**2 + z**2)
|
||||||
|
self.direction.horizontal = math.acos(z / self.distance)
|
||||||
|
self.direction.vertical = math.atan2(y, x)
|
||||||
|
|
||||||
|
def __add__(self, other):
|
||||||
|
x1, y1, z1 = self.to_cartesian()
|
||||||
|
x2, y2, z2 = other.to_cartesian()
|
||||||
|
return Spherical.from_cartesian(x1 + x2, y1 + y2, z1 + z2)
|
||||||
|
|
||||||
|
def __sub__(self, other):
|
||||||
|
x1, y1, z1 = self.to_cartesian()
|
||||||
|
x2, y2, z2 = other.to_cartesian()
|
||||||
|
return Spherical.from_cartesian(x1 - x2, y1 - y2, z1 - z2)
|
||||||
|
|
||||||
|
def __repr__(self):
|
||||||
|
return f"Spherical(r={self.distance}, horizontal={self.direction.horizontal}, phi={self.direction.vertical})"
|
||||||
|
|
||||||
|
Spherical.zero = Spherical(0, Direction.forward)
|
28
LinearAlgebra/SwingTwist.py
Normal file
28
LinearAlgebra/SwingTwist.py
Normal file
@ -0,0 +1,28 @@
|
|||||||
|
from LinearAlgebra.Direction import Direction
|
||||||
|
from LinearAlgebra.Quaternion import Quaternion
|
||||||
|
|
||||||
|
class SwingTwist:
|
||||||
|
"""A rotation using swing and twist angle components"""
|
||||||
|
def __init__(self, swing: Direction, twist: float):
|
||||||
|
if swing.vertical > 90 or swing.vertical < -90:
|
||||||
|
swing.horizontal += 180
|
||||||
|
swing.vertical = 180 - swing.vertical
|
||||||
|
twist += 180
|
||||||
|
|
||||||
|
## Swing component of the rotation
|
||||||
|
self.swing = swing
|
||||||
|
## The twist component of the rotation
|
||||||
|
self.twist = twist
|
||||||
|
|
||||||
|
@staticmethod
|
||||||
|
def Degrees(horizontal: float, vertical: float, twist: float):
|
||||||
|
direction = Direction(horizontal, vertical)
|
||||||
|
swing_twist = SwingTwist(direction, twist)
|
||||||
|
return swing_twist
|
||||||
|
|
||||||
|
def ToQuaternion(self) -> Quaternion:
|
||||||
|
"""Convert the SwingTwist rotation to a Quaternion"""
|
||||||
|
q = Quaternion.Euler(-self.swing.vertical,
|
||||||
|
self.swing.horizontal,
|
||||||
|
self.twist)
|
||||||
|
return q
|
14
LinearAlgebra/test/Angle_test.py
Normal file
14
LinearAlgebra/test/Angle_test.py
Normal file
@ -0,0 +1,14 @@
|
|||||||
|
import sys
|
||||||
|
from pathlib import Path
|
||||||
|
# Add the project root to sys.path
|
||||||
|
sys.path.append(str(Path(__file__).resolve().parent.parent))
|
||||||
|
|
||||||
|
import unittest
|
||||||
|
|
||||||
|
class AngleTest(unittest.TestCase):
|
||||||
|
def test_one(self):
|
||||||
|
pass
|
||||||
|
|
||||||
|
|
||||||
|
if __name__ == '__main__':
|
||||||
|
unittest.main()
|
Loading…
x
Reference in New Issue
Block a user