Commit 0330b3ca authored by Markus Holzer's avatar Markus Holzer Committed by Michael Kuron
Browse files

Bump minimum SymPy version and add Python 3.9 to CI

parent 6374f339
......@@ -36,6 +36,31 @@ tests-and-coverage:
cobertura: coverage.xml
junit: report.xml
# pipeline with latest python version
latest-python:
stage: test
except:
variables:
- $ENABLE_NIGHTLY_BUILDS
image: i10git.cs.fau.de:5005/pycodegen/pycodegen/latest_python
before_script:
- pip install git+https://gitlab-ci-token:${CI_JOB_TOKEN}@i10git.cs.fau.de/pycodegen/pystencils.git@master#egg=pystencils
script:
- env
- pip list
- export NUM_CORES=$(nproc --all)
- mkdir -p ~/.config/matplotlib
- echo "backend:template" > ~/.config/matplotlib/matplotlibrc
- mkdir public
- py.test -v -n $NUM_CORES -m "not longrun" --junitxml=report.xml
tags:
- docker
- AVX
artifacts:
when: always
reports:
junit: report.xml
# Nightly test - runs "long run" jobs only
test-longrun:
stage: test
......@@ -85,15 +110,18 @@ ubuntu:
variables:
- $ENABLE_NIGHTLY_BUILDS
image: i10git.cs.fau.de:5005/pycodegen/pycodegen/ubuntu
script:
before_script:
- apt-get -y remove python3-sympy
- ln -s /usr/include/locale.h /usr/include/xlocale.h
- pip3 install `grep -Eo 'sympy[>=]+[0-9\.]+' setup.py | sed 's/>/=/g'`
- pip3 install `grep -Eo 'numpy[>=]+[0-9\.]+' setup.py | sed 's/>/=/g'`
- pip3 install git+https://gitlab-ci-token:${CI_JOB_TOKEN}@i10git.cs.fau.de/pycodegen/pystencils.git@master#egg=pystencils
script:
- export NUM_CORES=$(nproc --all)
- mkdir -p ~/.config/matplotlib
- echo "backend:template" > ~/.config/matplotlib/matplotlibrc
- pip3 install git+https://gitlab-ci-token:${CI_JOB_TOKEN}@i10git.cs.fau.de/pycodegen/pystencils.git@master#egg=pystencils
- env
- pip3 list
- pytest-3 -v -m "not longrun" --junitxml=report.xml
- pytest-3 -v -n $NUM_CORES -m "not longrun" --junitxml=report.xml
tags:
- docker
- cuda11
......
%% Cell type:code id: tags:
``` python
import pytest
pytest.importorskip('pycuda')
```
%%%% Output: execute_result
<module 'pycuda' from '/home/markus/miniconda3/envs/pystencils/lib/python3.8/site-packages/pycuda/__init__.py'>
%% Cell type:code id: tags:
``` python
%load_ext autoreload
%autoreload 2
```
%% Cell type:code id: tags:
......@@ -213,16 +224,15 @@
ps.plot.colorbar()
```
%%%% Output: execute_result
<matplotlib.colorbar.Colorbar at 0x7f8678eccbe0>
<matplotlib.colorbar.Colorbar at 0x7f20b2f75bb0>
%%%% Output: display_data
![](data:image/png;base64,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)
%% Cell type:markdown id: tags:
## 2. Centered Cumulant Method with Implicit Forcing
......@@ -275,16 +285,15 @@
ps.plot.colorbar()
```
%%%% Output: execute_result
<matplotlib.colorbar.Colorbar at 0x7f8678e35130>
<matplotlib.colorbar.Colorbar at 0x7f20aa846670>
%%%% Output: display_data
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)
%% Cell type:code id: tags:
``` python
assert_allclose(cm_impl_f_u, srt_u, rtol=1, atol=1e-4)
......@@ -339,16 +348,15 @@
ps.plot.colorbar()
```
%%%% Output: execute_result
<matplotlib.colorbar.Colorbar at 0x7f8678b73c10>
<matplotlib.colorbar.Colorbar at 0x7f20aa641070>
%%%% Output: display_data
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)
%% Cell type:code id: tags:
``` python
assert_allclose(cm_expl_f_u, srt_u, rtol=1, atol=1e-4)
......
This source diff could not be displayed because it is too large. You can view the blob instead.
from hashlib import sha256
from lbmpy.creationfunctions import create_lb_ast
from pystencils.llvm.llvmjit import generate_llvm
def test_hash_equivalence_llvm():
import pytest
pytest.importorskip("llvmlite")
from pystencils.llvm.llvmjit import generate_llvm
ref_value = "6db6ed9e2cbd05edae8fcaeb8168e3178dd578c2681133f3ae9228b23d2be432"
ast = create_lb_ast(stencil='D3Q19', method='srt', optimization={'target': 'llvm'})
code = generate_llvm(ast)
......
import pytest
from lbmpy.methods import create_srt
from lbmpy.stencils import get_stencil
from lbmpy.methods.creationfunctions import create_with_default_polynomial_cumulants
def test_weights():
for stencil_name in ('D2Q9', 'D3Q19', 'D3Q27'):
stencil = get_stencil(stencil_name)
cumulant_method = create_with_default_polynomial_cumulants(stencil, [1])
moment_method = create_srt(stencil, 1, cumulant=False, compressible=True, maxwellian_moments=True)
assert cumulant_method.weights == moment_method.weights
@pytest.mark.parametrize('stencil_name', ['D2Q9', 'D3Q19', 'D3Q27'])
def test_weights(stencil_name):
stencil = get_stencil(stencil_name)
cumulant_method = create_with_default_polynomial_cumulants(stencil, [1])
moment_method = create_srt(stencil, 1, cumulant=False, compressible=True, maxwellian_moments=True)
assert cumulant_method.weights == moment_method.weights
from lbmpy.creationfunctions import create_lb_ast
import pytest
def test_gpu_block_size_limiting():
pytest.importorskip("pycuda")
too_large = 2048*2048
opt = {'target': 'gpu', 'gpu_indexing_params': {'block_size': (too_large, too_large, too_large)}}
ast = create_lb_ast(stencil='D3Q19', cumulant=True, relaxation_rate=1.8, optimization=opt,
......
%% Cell type:code id: tags:
``` python
import pytest
pytest.importorskip('pycuda')
```
%%%% Output: execute_result
<module 'pycuda' from '/home/markus/miniconda3/envs/pystencils/lib/python3.8/site-packages/pycuda/__init__.py'>
%% Cell type:code id: tags:
``` python
from lbmpy.session import *
from lbmpy.sparse import *
from pystencils.field import FieldType
import pycuda.gpuarray as gpuarray
......@@ -62,11 +73,11 @@
plt.colorbar();
```
%%%% Output: display_data
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)
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)
%% Cell type:markdown id: tags:
### Mappings
......@@ -156,13 +167,13 @@
%%%% Output: execute_result
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)
$\displaystyle \left\{ d_{0} : {{d}_{0}^{0}}, \ d_{1} : {{d}_{0}^{1}}, \ d_{2} : {{d}_{0}^{2}}, \ d_{3} : {{d}_{0}^{3}}, \ d_{4} : {{d}_{0}^{4}}, \ d_{5} : {{d}_{0}^{5}}, \ d_{6} : {{d}_{0}^{6}}, \ d_{7} : {{d}_{0}^{7}}, \ d_{8} : {{d}_{0}^{8}}, \ f_{0} : {{f}_{0}^{0}}, \ f_{1} : {{f}_{\mathbf{{idx}_{0}^{0}}}^{0}}, \ f_{2} : {{f}_{\mathbf{{idx}_{0}^{1}}}^{0}}, \ f_{3} : {{f}_{\mathbf{{idx}_{0}^{2}}}^{0}}, \ f_{4} : {{f}_{\mathbf{{idx}_{0}^{3}}}^{0}}, \ f_{5} : {{f}_{\mathbf{{idx}_{0}^{4}}}^{0}}, \ f_{6} : {{f}_{\mathbf{{idx}_{0}^{5}}}^{0}}, \ f_{7} : {{f}_{\mathbf{{idx}_{0}^{6}}}^{0}}, \ f_{8} : {{f}_{\mathbf{{idx}_{0}^{7}}}^{0}}\right\}$
{d₀: d_C__0, d₁: d_C__1, d₂: d_C__2, d₃: d_C__3, d₄: d_C__4, d₅: d_C__5, d₆: d
_C__6, d₇: d_C__7, d₈: d_C__8, f₀: f_C__0, f₁: f_61b5837354b0, f₂: f_36af0df24
bba, f₃: f_d214085c20d0, f₄: f_06c0d23f3496, f₅: f_5310e9cbaf08, f₆: f_cfd14fa
00661, f₇: f_d120c0b13b57, f₈: f_675ebfd3380f}
_C__6, d₇: d_C__7, d₈: d_C__8, f₀: f_C__0, f₁: f_b59661980ed8, f₂: f_c4b733d80
293, f₃: f_46a6e6d3a3b5, f₄: f_31387ae7897f, f₅: f_24d70d6a047a, f₆: f_c9de861
6062f, f₇: f_c16814a33bbc, f₈: f_52ab73425808}
%% Cell type:code id: tags:
``` python
collision_rule = method.get_collision_rule()
......@@ -243,11 +254,11 @@
plt.vector_field(result, step=1);
```
%%%% Output: display_data
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)
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)
%% Cell type:markdown id: tags:
### Check against reference
......
......@@ -70,7 +70,7 @@ setup(name='lbmpy',
author_email='martin.bauer@fau.de',
url='https://i10git.cs.fau.de/pycodegen/lbmpy/',
packages=['lbmpy'] + ['lbmpy.' + s for s in find_packages('lbmpy')],
install_requires=['pystencils', 'sympy>=1.1', 'numpy'],
install_requires=['pystencils', 'sympy>=1.2', 'numpy>=1.11.0'],
classifiers=[
'Development Status :: 4 - Beta',
'Framework :: Jupyter',
......
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