Compare commits
3 Commits
6f475e5c20
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4a9de633d4
| Author | SHA1 | Date |
|---|---|---|
 morgan
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4a9de633d4 | |
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morgan
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d5dd02736b | |
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morgan
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bc00240aef |
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@ -37,6 +37,11 @@
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old: {
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buildInputs = (old.buildInputs or [ ]) ++ [ super.setuptools ];
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});
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control = super.control.overridePythonAttrs (
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# ModuleNotFoundError: No module named 'setuptools'
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old: {
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buildInputs = (old.buildInputs or [ ]) ++ [ super.setuptools ];
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});
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jupytext = super.jupytext.override {
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# bypass error: metadata-generation-failed
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preferWheel = true;
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@ -493,6 +493,105 @@ traitlets = ">=4"
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[package.extras]
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test = ["pytest"]
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[[package]]
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name = "contourpy"
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version = "1.2.0"
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description = "Python library for calculating contours of 2D quadrilateral grids"
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optional = false
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python-versions = ">=3.9"
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files = [
|
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{file = "contourpy-1.2.0-cp310-cp310-macosx_10_9_x86_64.whl", hash = "sha256:0274c1cb63625972c0c007ab14dd9ba9e199c36ae1a231ce45d725cbcbfd10a8"},
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{file = "contourpy-1.2.0-cp310-cp310-macosx_11_0_arm64.whl", hash = "sha256:ab459a1cbbf18e8698399c595a01f6dcc5c138220ca3ea9e7e6126232d102bb4"},
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{file = "contourpy-1.2.0-cp310-cp310-manylinux_2_17_aarch64.manylinux2014_aarch64.whl", hash = "sha256:6fdd887f17c2f4572ce548461e4f96396681212d858cae7bd52ba3310bc6f00f"},
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{file = "contourpy-1.2.0-cp310-cp310-win32.whl", hash = "sha256:34b9071c040d6fe45d9826cbbe3727d20d83f1b6110d219b83eb0e2a01d79488"},
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||||
{file = "contourpy-1.2.0-cp310-cp310-win_amd64.whl", hash = "sha256:bd2f1ae63998da104f16a8b788f685e55d65760cd1929518fd94cd682bf03e41"},
|
||||
{file = "contourpy-1.2.0-cp311-cp311-macosx_10_9_x86_64.whl", hash = "sha256:dd10c26b4eadae44783c45ad6655220426f971c61d9b239e6f7b16d5cdaaa727"},
|
||||
{file = "contourpy-1.2.0-cp311-cp311-macosx_11_0_arm64.whl", hash = "sha256:5c6b28956b7b232ae801406e529ad7b350d3f09a4fde958dfdf3c0520cdde0dd"},
|
||||
{file = "contourpy-1.2.0-cp311-cp311-manylinux_2_17_aarch64.manylinux2014_aarch64.whl", hash = "sha256:ebeac59e9e1eb4b84940d076d9f9a6cec0064e241818bcb6e32124cc5c3e377a"},
|
||||
{file = "contourpy-1.2.0-cp311-cp311-manylinux_2_17_ppc64le.manylinux2014_ppc64le.whl", hash = "sha256:139d8d2e1c1dd52d78682f505e980f592ba53c9f73bd6be102233e358b401063"},
|
||||
{file = "contourpy-1.2.0-cp311-cp311-manylinux_2_17_s390x.manylinux2014_s390x.whl", hash = "sha256:1e9dc350fb4c58adc64df3e0703ab076f60aac06e67d48b3848c23647ae4310e"},
|
||||
{file = "contourpy-1.2.0-cp311-cp311-manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:18fc2b4ed8e4a8fe849d18dce4bd3c7ea637758c6343a1f2bae1e9bd4c9f4686"},
|
||||
{file = "contourpy-1.2.0-cp311-cp311-musllinux_1_1_aarch64.whl", hash = "sha256:16a7380e943a6d52472096cb7ad5264ecee36ed60888e2a3d3814991a0107286"},
|
||||
{file = "contourpy-1.2.0-cp311-cp311-musllinux_1_1_x86_64.whl", hash = "sha256:8d8faf05be5ec8e02a4d86f616fc2a0322ff4a4ce26c0f09d9f7fb5330a35c95"},
|
||||
{file = "contourpy-1.2.0-cp311-cp311-win32.whl", hash = "sha256:67b7f17679fa62ec82b7e3e611c43a016b887bd64fb933b3ae8638583006c6d6"},
|
||||
{file = "contourpy-1.2.0-cp311-cp311-win_amd64.whl", hash = "sha256:99ad97258985328b4f207a5e777c1b44a83bfe7cf1f87b99f9c11d4ee477c4de"},
|
||||
{file = "contourpy-1.2.0-cp312-cp312-macosx_10_9_x86_64.whl", hash = "sha256:575bcaf957a25d1194903a10bc9f316c136c19f24e0985a2b9b5608bdf5dbfe0"},
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||||
{file = "contourpy-1.2.0-cp312-cp312-macosx_11_0_arm64.whl", hash = "sha256:9e6c93b5b2dbcedad20a2f18ec22cae47da0d705d454308063421a3b290d9ea4"},
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||||
{file = "contourpy-1.2.0-cp312-cp312-manylinux_2_17_aarch64.manylinux2014_aarch64.whl", hash = "sha256:464b423bc2a009088f19bdf1f232299e8b6917963e2b7e1d277da5041f33a779"},
|
||||
{file = "contourpy-1.2.0-cp312-cp312-manylinux_2_17_ppc64le.manylinux2014_ppc64le.whl", hash = "sha256:68ce4788b7d93e47f84edd3f1f95acdcd142ae60bc0e5493bfd120683d2d4316"},
|
||||
{file = "contourpy-1.2.0-cp312-cp312-manylinux_2_17_s390x.manylinux2014_s390x.whl", hash = "sha256:3d7d1f8871998cdff5d2ff6a087e5e1780139abe2838e85b0b46b7ae6cc25399"},
|
||||
{file = "contourpy-1.2.0-cp312-cp312-manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:6e739530c662a8d6d42c37c2ed52a6f0932c2d4a3e8c1f90692ad0ce1274abe0"},
|
||||
{file = "contourpy-1.2.0-cp312-cp312-musllinux_1_1_aarch64.whl", hash = "sha256:247b9d16535acaa766d03037d8e8fb20866d054d3c7fbf6fd1f993f11fc60ca0"},
|
||||
{file = "contourpy-1.2.0-cp312-cp312-musllinux_1_1_x86_64.whl", hash = "sha256:461e3ae84cd90b30f8d533f07d87c00379644205b1d33a5ea03381edc4b69431"},
|
||||
{file = "contourpy-1.2.0-cp312-cp312-win32.whl", hash = "sha256:1c2559d6cffc94890b0529ea7eeecc20d6fadc1539273aa27faf503eb4656d8f"},
|
||||
{file = "contourpy-1.2.0-cp312-cp312-win_amd64.whl", hash = "sha256:491b1917afdd8638a05b611a56d46587d5a632cabead889a5440f7c638bc6ed9"},
|
||||
{file = "contourpy-1.2.0-cp39-cp39-macosx_10_9_x86_64.whl", hash = "sha256:5fd1810973a375ca0e097dee059c407913ba35723b111df75671a1976efa04bc"},
|
||||
{file = "contourpy-1.2.0-cp39-cp39-macosx_11_0_arm64.whl", hash = "sha256:999c71939aad2780f003979b25ac5b8f2df651dac7b38fb8ce6c46ba5abe6ae9"},
|
||||
{file = "contourpy-1.2.0-cp39-cp39-manylinux_2_17_aarch64.manylinux2014_aarch64.whl", hash = "sha256:b7caf9b241464c404613512d5594a6e2ff0cc9cb5615c9475cc1d9b514218ae8"},
|
||||
{file = "contourpy-1.2.0-cp39-cp39-manylinux_2_17_ppc64le.manylinux2014_ppc64le.whl", hash = "sha256:266270c6f6608340f6c9836a0fb9b367be61dde0c9a9a18d5ece97774105ff3e"},
|
||||
{file = "contourpy-1.2.0-cp39-cp39-manylinux_2_17_s390x.manylinux2014_s390x.whl", hash = "sha256:dbd50d0a0539ae2e96e537553aff6d02c10ed165ef40c65b0e27e744a0f10af8"},
|
||||
{file = "contourpy-1.2.0-cp39-cp39-manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:11f8d2554e52f459918f7b8e6aa20ec2a3bce35ce95c1f0ef4ba36fbda306df5"},
|
||||
{file = "contourpy-1.2.0-cp39-cp39-musllinux_1_1_aarch64.whl", hash = "sha256:ce96dd400486e80ac7d195b2d800b03e3e6a787e2a522bfb83755938465a819e"},
|
||||
{file = "contourpy-1.2.0-cp39-cp39-musllinux_1_1_x86_64.whl", hash = "sha256:6d3364b999c62f539cd403f8123ae426da946e142312a514162adb2addd8d808"},
|
||||
{file = "contourpy-1.2.0-cp39-cp39-win32.whl", hash = "sha256:1c88dfb9e0c77612febebb6ac69d44a8d81e3dc60f993215425b62c1161353f4"},
|
||||
{file = "contourpy-1.2.0-cp39-cp39-win_amd64.whl", hash = "sha256:78e6ad33cf2e2e80c5dfaaa0beec3d61face0fb650557100ee36db808bfa6843"},
|
||||
{file = "contourpy-1.2.0-pp39-pypy39_pp73-macosx_10_9_x86_64.whl", hash = "sha256:be16975d94c320432657ad2402f6760990cb640c161ae6da1363051805fa8108"},
|
||||
{file = "contourpy-1.2.0-pp39-pypy39_pp73-manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:b95a225d4948b26a28c08307a60ac00fb8671b14f2047fc5476613252a129776"},
|
||||
{file = "contourpy-1.2.0-pp39-pypy39_pp73-win_amd64.whl", hash = "sha256:0d7e03c0f9a4f90dc18d4e77e9ef4ec7b7bbb437f7f675be8e530d65ae6ef956"},
|
||||
{file = "contourpy-1.2.0.tar.gz", hash = "sha256:171f311cb758de7da13fc53af221ae47a5877be5a0843a9fe150818c51ed276a"},
|
||||
]
|
||||
|
||||
[package.dependencies]
|
||||
numpy = ">=1.20,<2.0"
|
||||
|
||||
[package.extras]
|
||||
bokeh = ["bokeh", "selenium"]
|
||||
docs = ["furo", "sphinx (>=7.2)", "sphinx-copybutton"]
|
||||
mypy = ["contourpy[bokeh,docs]", "docutils-stubs", "mypy (==1.6.1)", "types-Pillow"]
|
||||
test = ["Pillow", "contourpy[test-no-images]", "matplotlib"]
|
||||
test-no-images = ["pytest", "pytest-cov", "pytest-xdist", "wurlitzer"]
|
||||
|
||||
[[package]]
|
||||
name = "control"
|
||||
version = "0.10.0"
|
||||
description = "Python Control Systems Library"
|
||||
optional = false
|
||||
python-versions = ">=3.10"
|
||||
files = [
|
||||
{file = "control-0.10.0-py3-none-any.whl", hash = "sha256:ed1e0eb73f1e2945fc9af9d7b9121ef328fe980e7903b2a14b149d4f1855a808"},
|
||||
{file = "control-0.10.0.tar.gz", hash = "sha256:2c18b767537f45c7fd07b2e4afe8fbe5964019499b5f52f888edb5d8560bab53"},
|
||||
]
|
||||
|
||||
[package.dependencies]
|
||||
matplotlib = ">=3.6"
|
||||
numpy = ">=1.23"
|
||||
scipy = ">=1.8"
|
||||
|
||||
[package.extras]
|
||||
cvxopt = ["cvxopt (>=1.2.0)"]
|
||||
slycot = ["slycot (>=0.4.0)"]
|
||||
test = ["pytest", "pytest-timeout"]
|
||||
|
||||
[[package]]
|
||||
name = "cycler"
|
||||
version = "0.12.1"
|
||||
description = "Composable style cycles"
|
||||
optional = false
|
||||
python-versions = ">=3.8"
|
||||
files = [
|
||||
{file = "cycler-0.12.1-py3-none-any.whl", hash = "sha256:85cef7cff222d8644161529808465972e51340599459b8ac3ccbac5a854e0d30"},
|
||||
{file = "cycler-0.12.1.tar.gz", hash = "sha256:88bb128f02ba341da8ef447245a9e138fae777f6a23943da4540077d3601eb1c"},
|
||||
]
|
||||
|
||||
[package.extras]
|
||||
docs = ["ipython", "matplotlib", "numpydoc", "sphinx"]
|
||||
tests = ["pytest", "pytest-cov", "pytest-xdist"]
|
||||
|
||||
[[package]]
|
||||
name = "dash"
|
||||
version = "2.14.2"
|
||||
|
|
@ -693,6 +792,71 @@ Werkzeug = ">=3.0.0"
|
|||
async = ["asgiref (>=3.2)"]
|
||||
dotenv = ["python-dotenv"]
|
||||
|
||||
[[package]]
|
||||
name = "fonttools"
|
||||
version = "4.49.0"
|
||||
description = "Tools to manipulate font files"
|
||||
optional = false
|
||||
python-versions = ">=3.8"
|
||||
files = [
|
||||
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|
||||
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|
||||
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|
||||
{file = "fonttools-4.49.0-cp310-cp310-manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:cdee3ab220283057e7840d5fb768ad4c2ebe65bdba6f75d5d7bf47f4e0ed7d29"},
|
||||
{file = "fonttools-4.49.0-cp310-cp310-musllinux_1_1_aarch64.whl", hash = "sha256:ce7033cb61f2bb65d8849658d3786188afd80f53dad8366a7232654804529532"},
|
||||
{file = "fonttools-4.49.0-cp310-cp310-musllinux_1_1_x86_64.whl", hash = "sha256:07bc5ea02bb7bc3aa40a1eb0481ce20e8d9b9642a9536cde0218290dd6085828"},
|
||||
{file = "fonttools-4.49.0-cp310-cp310-win32.whl", hash = "sha256:86eef6aab7fd7c6c8545f3ebd00fd1d6729ca1f63b0cb4d621bccb7d1d1c852b"},
|
||||
{file = "fonttools-4.49.0-cp310-cp310-win_amd64.whl", hash = "sha256:1fac1b7eebfce75ea663e860e7c5b4a8831b858c17acd68263bc156125201abf"},
|
||||
{file = "fonttools-4.49.0-cp311-cp311-macosx_10_9_universal2.whl", hash = "sha256:edc0cce355984bb3c1d1e89d6a661934d39586bb32191ebff98c600f8957c63e"},
|
||||
{file = "fonttools-4.49.0-cp311-cp311-macosx_10_9_x86_64.whl", hash = "sha256:83a0d9336de2cba86d886507dd6e0153df333ac787377325a39a2797ec529814"},
|
||||
{file = "fonttools-4.49.0-cp311-cp311-manylinux_2_17_aarch64.manylinux2014_aarch64.whl", hash = "sha256:36c8865bdb5cfeec88f5028e7e592370a0657b676c6f1d84a2108e0564f90e22"},
|
||||
{file = "fonttools-4.49.0-cp311-cp311-manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:33037d9e56e2562c710c8954d0f20d25b8386b397250d65581e544edc9d6b942"},
|
||||
{file = "fonttools-4.49.0-cp311-cp311-musllinux_1_1_aarch64.whl", hash = "sha256:8fb022d799b96df3eaa27263e9eea306bd3d437cc9aa981820850281a02b6c9a"},
|
||||
{file = "fonttools-4.49.0-cp311-cp311-musllinux_1_1_x86_64.whl", hash = "sha256:33c584c0ef7dc54f5dd4f84082eabd8d09d1871a3d8ca2986b0c0c98165f8e86"},
|
||||
{file = "fonttools-4.49.0-cp311-cp311-win32.whl", hash = "sha256:cbe61b158deb09cffdd8540dc4a948d6e8f4d5b4f3bf5cd7db09bd6a61fee64e"},
|
||||
{file = "fonttools-4.49.0-cp311-cp311-win_amd64.whl", hash = "sha256:fc11e5114f3f978d0cea7e9853627935b30d451742eeb4239a81a677bdee6bf6"},
|
||||
{file = "fonttools-4.49.0-cp312-cp312-macosx_10_9_universal2.whl", hash = "sha256:d647a0e697e5daa98c87993726da8281c7233d9d4ffe410812a4896c7c57c075"},
|
||||
{file = "fonttools-4.49.0-cp312-cp312-macosx_10_9_x86_64.whl", hash = "sha256:f3bbe672df03563d1f3a691ae531f2e31f84061724c319652039e5a70927167e"},
|
||||
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|
||||
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|
||||
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|
||||
{file = "fonttools-4.49.0-cp312-cp312-musllinux_1_1_x86_64.whl", hash = "sha256:c076a9e548521ecc13d944b1d261ff3d7825048c338722a4bd126d22316087b7"},
|
||||
{file = "fonttools-4.49.0-cp312-cp312-win32.whl", hash = "sha256:b607ea1e96768d13be26d2b400d10d3ebd1456343eb5eaddd2f47d1c4bd00880"},
|
||||
{file = "fonttools-4.49.0-cp312-cp312-win_amd64.whl", hash = "sha256:a974c49a981e187381b9cc2c07c6b902d0079b88ff01aed34695ec5360767034"},
|
||||
{file = "fonttools-4.49.0-cp38-cp38-macosx_10_9_universal2.whl", hash = "sha256:b85ec0bdd7bdaa5c1946398cbb541e90a6dfc51df76dfa88e0aaa41b335940cb"},
|
||||
{file = "fonttools-4.49.0-cp38-cp38-macosx_10_9_x86_64.whl", hash = "sha256:af20acbe198a8a790618ee42db192eb128afcdcc4e96d99993aca0b60d1faeb4"},
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[[package]]
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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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{file = "pillow-10.2.0-cp39-cp39-win32.whl", hash = "sha256:babf5acfede515f176833ed6028754cbcd0d206f7f614ea3447d67c33be12516"},
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{file = "pillow-10.2.0-cp39-cp39-win_amd64.whl", hash = "sha256:0304004f8067386b477d20a518b50f3fa658a28d44e4116970abfcd94fac34a8"},
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{file = "pillow-10.2.0-cp39-cp39-win_arm64.whl", hash = "sha256:0fb3e7fc88a14eacd303e90481ad983fd5b69c761e9e6ef94c983f91025da869"},
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{file = "pillow-10.2.0-pp310-pypy310_pp73-manylinux_2_28_aarch64.whl", hash = "sha256:33870dc4653c5017bf4c8873e5488d8f8d5f8935e2f1fb9a2208c47cdd66efd2"},
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{file = "pillow-10.2.0-pp310-pypy310_pp73-win_amd64.whl", hash = "sha256:a2b56ba36e05f973d450582fb015594aaa78834fefe8dfb8fcd79b93e64ba4c6"},
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||||
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||||
{file = "pillow-10.2.0-pp39-pypy39_pp73-win_amd64.whl", hash = "sha256:fe4c15f6c9285dc54ce6553a3ce908ed37c8f3825b5a51a15c91442bb955b868"},
|
||||
{file = "pillow-10.2.0.tar.gz", hash = "sha256:e87f0b2c78157e12d7686b27d63c070fd65d994e8ddae6f328e0dcf4a0cd007e"},
|
||||
]
|
||||
|
||||
[package.extras]
|
||||
docs = ["furo", "olefile", "sphinx (>=2.4)", "sphinx-copybutton", "sphinx-inline-tabs", "sphinx-removed-in", "sphinxext-opengraph"]
|
||||
fpx = ["olefile"]
|
||||
mic = ["olefile"]
|
||||
tests = ["check-manifest", "coverage", "defusedxml", "markdown2", "olefile", "packaging", "pyroma", "pytest", "pytest-cov", "pytest-timeout"]
|
||||
typing = ["typing-extensions"]
|
||||
xmp = ["defusedxml"]
|
||||
|
||||
[[package]]
|
||||
name = "platformdirs"
|
||||
version = "4.1.0"
|
||||
|
|
@ -2032,6 +2442,20 @@ files = [
|
|||
plugins = ["importlib-metadata"]
|
||||
windows-terminal = ["colorama (>=0.4.6)"]
|
||||
|
||||
[[package]]
|
||||
name = "pyparsing"
|
||||
version = "3.1.1"
|
||||
description = "pyparsing module - Classes and methods to define and execute parsing grammars"
|
||||
optional = false
|
||||
python-versions = ">=3.6.8"
|
||||
files = [
|
||||
{file = "pyparsing-3.1.1-py3-none-any.whl", hash = "sha256:32c7c0b711493c72ff18a981d24f28aaf9c1fb7ed5e9667c9e84e3db623bdbfb"},
|
||||
{file = "pyparsing-3.1.1.tar.gz", hash = "sha256:ede28a1a32462f5a9705e07aea48001a08f7cf81a021585011deba701581a0db"},
|
||||
]
|
||||
|
||||
[package.extras]
|
||||
diagrams = ["jinja2", "railroad-diagrams"]
|
||||
|
||||
[[package]]
|
||||
name = "python-dateutil"
|
||||
version = "2.8.2"
|
||||
|
|
@ -2966,4 +3390,4 @@ testing = ["big-O", "jaraco.functools", "jaraco.itertools", "more-itertools", "p
|
|||
[metadata]
|
||||
lock-version = "2.0"
|
||||
python-versions = "^3.11"
|
||||
content-hash = "5c5b288075581046408471099dc252467fad16a37215d5ad9f1ccb1b5f079821"
|
||||
content-hash = "d23686c97c95ce46d0496e88b4a97e5a3bc0bd4c58981e62218cb74c27ba41d8"
|
||||
|
|
|
|||
|
|
@ -18,6 +18,7 @@ plotly = "^5.18.0"
|
|||
plotly-resampler = "^0.9.1"
|
||||
flake8-black = "^0.3.6"
|
||||
jupytext = "^1.16.1"
|
||||
control = "^0.10.0"
|
||||
|
||||
|
||||
[build-system]
|
||||
|
|
|
|||
|
|
@ -0,0 +1,55 @@
|
|||
# %%
|
||||
import control as ct
|
||||
import numpy as np
|
||||
|
||||
# %%
|
||||
# Gain term
|
||||
N = 0x8000
|
||||
F_s = 125e6 / N # Hz
|
||||
T = 1 / F_s
|
||||
|
||||
K_dxco = 0.0001164 * (2**np.pi) * N / (1e6)
|
||||
K_pd = N / (2**np.pi)
|
||||
|
||||
# PI controller
|
||||
K_P, K_I = 6, 2
|
||||
|
||||
sims = [
|
||||
["KP=6,KI=2", (K_P + K_I), -K_P, 0, 1, -1, 0],
|
||||
[
|
||||
# from https://www.earlevel.com/main/2021/09/02/biquad-calculator-v3/
|
||||
"Biquad Low pass",
|
||||
0.07209205036273991,
|
||||
0.14418410072547982,
|
||||
0.07209205036273991,
|
||||
1,
|
||||
-0.6114078511562919,
|
||||
-0.10022394739274834,
|
||||
],
|
||||
]
|
||||
|
||||
open_loops = []
|
||||
close_loops = []
|
||||
|
||||
for [name, b0, b1, b2, a0, a1, a2] in sims:
|
||||
ph_gain = ct.tf([K_pd], [1], dt=T)
|
||||
loop_filter = ct.tf([b0, b1, b2], [a0, a1, a2], dt=T)
|
||||
dcxo = ct.tf([K_dxco], [1, -1], dt=T)
|
||||
|
||||
open_tf = ct.series(ph_gain, loop_filter, dcxo)
|
||||
close_tf = ct.feedback(open_tf, 1)
|
||||
gm, pm, _, _ = ct.margin(open_tf)
|
||||
print(f"{name} | gain margin:{gm} phase margin:{pm}")
|
||||
|
||||
# HACK labeling graph
|
||||
open_tf.name = name
|
||||
close_tf.name = name
|
||||
open_loops.append(open_tf)
|
||||
close_loops.append(close_tf)
|
||||
|
||||
ct.bode_plot(open_loops, dB=True, Hz=True, title="Open loop bode")
|
||||
ct.bode_plot(
|
||||
close_loops, dB=True, Hz=True, plot_phase=False, title="Close loop response"
|
||||
)
|
||||
|
||||
# %%
|
||||
|
|
@ -0,0 +1,51 @@
|
|||
|
||||
## Frequency simulation
|
||||
|
||||
Model is based on https://www.dsprelated.com/showarticle/973.php
|
||||
|
||||
### Time domain block diagram
|
||||
|
||||
|
||||
|
||||
### Z domain block diagram
|
||||
|
||||
|
||||
|
||||
## DDMTD Phase detector gain ($K_{PD}$)
|
||||
|
||||
$$
|
||||
\begin{align*}
|
||||
|
||||
\Delta tag[n] &= \dfrac{N}{2\pi} \cdot \Delta\theta[n] \\[10pt]
|
||||
\Delta tag(z) &= \dfrac{N}{2\pi} \cdot \Delta\theta(z) \\[10pt]
|
||||
\dfrac{\Delta tag(z)}{\Delta \theta(z)} &= \dfrac{N}{2\pi} \\[10pt]
|
||||
K_{PD} &= \dfrac{N}{2\pi} \\[10pt]
|
||||
|
||||
\end{align*}
|
||||
$$
|
||||
|
||||
## Loop Filter
|
||||
|
||||
Low pass biquad filter calculator: https://www.earlevel.com/main/2021/09/02/biquad-calculator-v3/
|
||||
|
||||
## Si549 DCXO gain ($K_{DCXO}$)
|
||||
|
||||
Consider Si549 as a phase accumulator:
|
||||
$$
|
||||
|
||||
\begin{align*}
|
||||
\theta_{DCXO}[n] &= 2\pi f[n] \cdot T + \theta_{DCXO}[n-1] \\[10pt]
|
||||
\theta_{DCXO}[n] &= 2\pi \bigg( f_{center} + 0.0001164 \cdot (\text{BASEADPLL} + ADPLL[n]) \cdot \dfrac{f_{center}}{10^6} \bigg) \cdot T_s + \theta_{DCXO}[n-1] \\[10pt]
|
||||
|
||||
\theta_{DCXO}[n] &= \underbrace{ 2\pi \bigg(0.0001164 \cdot \dfrac{f_{center}}{10^6} \cdot T_s \bigg)}_{K_{DCXO}} \cdot ADPLL[n] +
|
||||
\underbrace{ 2\pi \bigg( f_{center} + 0.0001164 \cdot \text{BASEADPLL} \cdot \dfrac{f_{center}}{10^6} \bigg) }_{f} \cdot T_s + \theta_{DCXO}[n-1] \\[20pt]
|
||||
|
||||
K_{DCXO} &= 2\pi 0.0001164 \cdot \dfrac{f_{center}}{10^6} \cdot T_s \\[10pt]
|
||||
K_{DCXO} &= 2\pi * 0.0001164 \cdot \dfrac{f_{center}}{10^6} \cdot \dfrac{1}{f_s} \\[10pt]
|
||||
K_{DCXO} &= 2\pi * 0.0001164 \cdot \dfrac{f_{center}}{10^6} \cdot \dfrac{N}{f_{center}} \\[10pt]
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K_{DCXO} &= \dfrac{0.0001164\cdot N\cdot 2\pi}{10^6} \\[10pt]
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\end{align*}
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$$
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