diff --git a/.all-contributorsrc b/.all-contributorsrc index 7cc68678e0..1cc25d48f8 100644 --- a/.all-contributorsrc +++ b/.all-contributorsrc @@ -773,6 +773,16 @@ "contributions": [ "infra" ] + }, + { + "login": "XuboGU", + "name": "XuboGU", + "avatar_url": "https://avatars.githubusercontent.com/u/53944452?v=4", + "profile": "https://github.com/XuboGU", + "contributions": [ + "code", + "bug" + ] } ], "contributorsPerLine": 7, diff --git a/.github/workflows/periodic_benchmarks.yml b/.github/workflows/periodic_benchmarks.yml index 9bd105ae92..c778c934bf 100644 --- a/.github/workflows/periodic_benchmarks.yml +++ b/.github/workflows/periodic_benchmarks.yml @@ -48,9 +48,9 @@ jobs: LD_LIBRARY_PATH: $HOME/.local/lib - name: Upload results as artifact - uses: actions/upload-artifact@v3 + uses: actions/upload-artifact@v4 with: - name: asv_new_results + name: asv_periodic_results path: results publish-results: @@ -73,9 +73,9 @@ jobs: token: ${{ secrets.BENCH_PAT }} - name: Download results artifact - uses: actions/download-artifact@v3 + uses: actions/download-artifact@v4 with: - name: asv_new_results + name: asv_periodic_results path: new_results - name: Copy new results and push to pybamm-bench repo diff --git a/.github/workflows/publish_pypi.yml b/.github/workflows/publish_pypi.yml index 3fe7e755f1..90b67e9f87 100644 --- a/.github/workflows/publish_pypi.yml +++ b/.github/workflows/publish_pypi.yml @@ -57,7 +57,7 @@ jobs: CIBW_ARCHS: "AMD64" - name: Upload Windows wheels - uses: actions/upload-artifact@v3 + uses: actions/upload-artifact@v4 with: name: windows_wheels path: ./wheelhouse/*.whl @@ -110,7 +110,7 @@ jobs: CIBW_SKIP: "pp* *musllinux*" - name: Upload wheels - uses: actions/upload-artifact@v3 + uses: actions/upload-artifact@v4 with: name: wheels path: ./wheelhouse/*.whl @@ -133,7 +133,7 @@ jobs: run: pipx run build --sdist - name: Upload SDist - uses: actions/upload-artifact@v3 + uses: actions/upload-artifact@v4 with: name: sdist path: ./dist/*.tar.gz @@ -146,7 +146,7 @@ jobs: runs-on: ubuntu-latest steps: - name: Download all artifacts - uses: actions/download-artifact@v3 + uses: actions/download-artifact@v4 - name: Move all package files to files/ run: | diff --git a/.github/workflows/run_benchmarks_over_history.yml b/.github/workflows/run_benchmarks_over_history.yml index cb16f65847..4f7302a4a5 100644 --- a/.github/workflows/run_benchmarks_over_history.yml +++ b/.github/workflows/run_benchmarks_over_history.yml @@ -42,9 +42,9 @@ jobs: asv run -m "GitHubRunner" -s ${{ github.event.inputs.ncommits }} \ ${{ github.event.inputs.commit_start }}..${{ github.event.inputs.commit_end }} - name: Upload results as artifact - uses: actions/upload-artifact@v3 + uses: actions/upload-artifact@v4 with: - name: asv_new_results + name: asv_over_history_results path: results publish-results: @@ -65,9 +65,9 @@ jobs: repository: pybamm-team/pybamm-bench token: ${{ secrets.BENCH_PAT }} - name: Download results artifact - uses: actions/download-artifact@v3 + uses: actions/download-artifact@v4 with: - name: asv_new_results + name: asv_over_history_results path: new_results - name: Copy new results and push to pybamm-bench repo env: diff --git a/README.md b/README.md index 8bad257378..d5050cfe55 100644 --- a/README.md +++ b/README.md @@ -14,7 +14,7 @@ [![code style](https://img.shields.io/endpoint?url=https://raw.githubusercontent.com/charliermarsh/ruff/main/assets/badge/v2.json)](https://github.com/astral-sh/ruff) -[![All Contributors](https://img.shields.io/badge/all_contributors-71-orange.svg)](#-contributors) +[![All Contributors](https://img.shields.io/badge/all_contributors-72-orange.svg)](#-contributors) @@ -277,6 +277,7 @@ Thanks goes to these wonderful people ([emoji key](https://allcontributors.org/d Pradyot Ranjan
Pradyot Ranjan

🚇 + XuboGU
XuboGU

💻 🐛 diff --git a/docs/source/examples/notebooks/solvers/speed-up-solver.ipynb b/docs/source/examples/notebooks/solvers/speed-up-solver.ipynb index 0955b68310..80dc0ddb88 100644 --- a/docs/source/examples/notebooks/solvers/speed-up-solver.ipynb +++ b/docs/source/examples/notebooks/solvers/speed-up-solver.ipynb @@ -17,13 +17,17 @@ { "cell_type": "code", "execution_count": 1, - "metadata": {}, + "metadata": { + "ExecuteTime": { + "end_time": "2023-10-07T00:46:40.608248Z", + "start_time": "2023-10-07T00:46:38.357851Z" + } + }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "zsh:1: no matches found: pybamm[plot,cite]\n", "Note: you may need to restart the kernel to use updated packages.\n" ] } @@ -43,7 +47,6 @@ ] }, { - "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ @@ -115,13 +118,13 @@ "name": "stdout", "output_type": "stream", "text": [ - "Safe: 125.714 ms\n", - "Fast: 77.698 ms\n" + "Safe: 161.060 ms\n", + "Fast: 78.290 ms\n" ] }, { 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", 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", 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" ] @@ -168,22 +171,22 @@ "name": "stdout", "output_type": "stream", "text": [ - "Safe: 7.791 s\n", - "Solving fast mode, error occured: Error in Function::call for 'F' [IdasInterface] at .../casadi/core/function.cpp:1401:\n", + "Safe: 7.181 s\n", + "Solving fast mode, error occurred: Error in Function::call for 'F' [IdasInterface] at .../casadi/core/function.cpp:1401:\n", "Error in Function::call for 'F' [IdasInterface] at .../casadi/core/function.cpp:330:\n", - ".../casadi/interfaces/sundials/idas_interface.cpp:604: IDASolve returned \"IDA_CONV_FAIL\". Consult IDAS documentation.\n" + ".../casadi/interfaces/sundials/idas_interface.cpp:596: IDASolve returned \"IDA_TOO_MUCH_WORK\". Consult IDAS documentation.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ - "At t = 4051.62 and h = 2.10435e-15, the corrector convergence failed repeatedly or with |h| = hmin.\n" + "At t = 4051.62, , mxstep steps taken before reaching tout.\n" ] }, { "data": { - "image/png": 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", + "image/png": 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", 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" ] @@ -222,12 +225,12 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "d84d30bf7d8d4df1a330e8c9a69267a1", + "model_id": "a679a5fa8fc34bf782956e3d2c040fcb", "version_major": 2, "version_minor": 0 }, "text/plain": [ - "interactive(children=(FloatSlider(value=0.0, description='t', max=3617.9769611086454, step=36.179769611086456)…" + "interactive(children=(FloatSlider(value=0.0, description='t', max=3617.9769611091, step=36.179769611091004), O…" ] }, "metadata": {}, @@ -245,7 +248,6 @@ ] }, { - "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ @@ -264,9 +266,16 @@ "execution_count": 6, "metadata": {}, "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "At t = 159.516 and h = 1.33464e-07, the corrector convergence failed repeatedly or with |h| = hmin.\n" + ] + }, { "data": { - "image/png": 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eeYSbb76Z7t27c+jQoUxDQkBAAEuXLuWGG26gffv23HrrrYwZM8Z5Fqlt27a88MILPP3009x+++2cPXuWqKiodMcYPnw4vr6+1KxZk9KlS6ebUfVXQUFBLFmyhNOnT3P77bfTtWtXWrVqxcSJE7P+w3dxDuvvF9xcUEJCAqGhocTHxxMSEmJfIZMnmzEyhQtDbCzcfLN9tYiIZNPFixc5cOAAN954o/NLV3Ln6NGjhIWFsXz5clq1amV3ObbK6u9Xfn9/60xMTgwYAK1bw4UL5rJSDka/i4iI+/r+++/56quvOHDgAGvXrqV79+5UrlyZZs2a2V2aV1OIyQmHAz76CIoWhbVrzawlERHxeJcuXeJf//oXtWrVonPnzpQuXZqYmJh0g2yl4Gl2Uk6Fh8Pbb0O/fmYl3w4doEYNu6sSEZF81LZtW9q2bWt3GfI3OhNzPR59FNq1g6Qk6NMHsjFvX0RERPKWQsz1cDjggw8gNBTWr4dnn7W7IhEREa+ToxAzadIkIiIiCAkJISQkhMjISBYvXpxp+2nTpjl31ky7eczI+IoVIW2TsbfegnnzbC1HRORa3GAyqrghO/9e5SjEVKxYkTFjxrB582Y2bdpEy5Yt6dSpEzt37sz0d0JCQpy7X8bFxXHo0KFcF+0y7r8fRoww9x95BH75xdZyREQykrbuSE6W0RfJrvP/21fQjkHOORrY27Fjx3SPX331VSZNmsRPP/1ErVq1Mvwdh8NB2bJlr79CV/faa+aS0o8/Qteu8NNPEBRkd1UiIk5+fn4EBQXxxx9/4O/vf9VeRyLXw7Iszp8/z4kTJyhWrFimWz3kp+uenZSSksKcOXM4d+4ckZGRmbZLTEykUqVKpKamUq9ePV577bVMA49b8vODWbOgbl3Yvh0ee8xcZvrfUtQiInZzOByUK1eOAwcOeNbZcHEJxYoVs+1kRY5DzPbt24mMjOTixYsEBwezYMECatasmWHb6tWr8/HHHxMREUF8fDxvvPEGjRs3ZufOnVSsWDHT10hKSiIpKcn5OCEhIadlFqxy5eCLL6BlS5g+HZo0MQvjiYi4iICAAKpVq6ZLSpKn/P39bTkDkybH2w4kJydz+PBh4uPjmTt3Lh9++CE//PBDpkHmry5dusQtt9xCjx49GDVqVKbtXnrpJV5++eWrnrd924Fref11M1MpIMBcXmrY0O6KREREbJPf2w7keu+k1q1bU6VKFSZPnpyt9g888AB+fn58/vnnmbbJ6ExMWFiY64cYy4L/+z9YuBDKlDFjZTLYEl1ERMQbuPzeSampqekCR1ZSUlLYvn075cqVy7JdYGCgcxp32s0tOBzmclJEBPz+O3TsCK5+KUxERMRN5SjEREdH8+OPP3Lw4EG2b99OdHQ0MTExPPTQQwBERUURHR3tbP/KK6+wdOlSfv31V/773//y8MMPc+jQIfr165e3vXAlRYvCokVQtqwZ6NujB1y+bHdVIiIiHidHA3tPnDhBVFQUcXFxhIaGEhERwZIlS2jTpg0Ahw8fTjd1788//6R///4cP36c4sWLU79+fdauXZut8TNuLSwMvvoKmjWDb7+F4cO1WaSIiEgey/WYmIKQ39fU8s3cufDAA+b+f/5jpl+LiIh4CZcfEyNZ6NoVXn3V3H/ySfjuO3vrERER8SAKMfktOhp694aUFBNqNmywuyIRERGPoBCT3xwOmDIF7r4bzp2D9u3h55/trkpERMTtKcQUhIAAs8v17bfDqVPQti0cPWp3VSIiIm5NIaagBAfDN9/AzTfD4cPQrh2cPm13VSIiIm5LIaYglS4NS5ZA+fKwcyfcdx/8bwtzERERyRmFmIJWubKZpVSsGKxZY6Zga0M2ERGRHFOIscOtt8LXX0OhQmYxvJ49taqviIhIDinE2OXOO81GkWmDfvv0MdOwRUREJFsUYuzUti3MmQN+fjBjBgwaZHbCFhERkWtSiLHbffeZAOPjAx9+CEOHKsiIiIhkg0KMK+jWDaZONfcnTIBnn1WQERERuQaFGFcRFQXvv2/ujx0Lzz2nICMiIpIFhRhXMnAgvPuuuT96tIKMiIhIFhRiXM2TT8L48ea+goyIiEimFGJc0ZAhCjIiIiLXoBDjqhRkREREsqQQ48r+HmSioxVkRERE/kchxtX9Nci8/jqMGKEgIyIigkKMexgyBCZONPfffBP+8Q8FGRER8XoKMe7i8cevrCMzfryZxaQgIyIiXkwhxp0MHGi2JnA44L33YPBgSE21uyoRERFbKMS4m759zRYFDoc5MzNggHa/FhERr6QQ445694bp082mkR99BI88Apcv212ViIhIgVKIcVcPPwwzZ4KvL3z6qXl86ZLdVYmIiBQYhRh39uCDMGcO+PvDF1+Yx8nJdlclIiJSIBRi3F3nzjB/PgQEwIIF0KULXLxod1UiIiL5TiHGE9x7L3z9NRQqBIsWQadOcP683VWJiIjkK4UYT3H33fDttxAUBEuXQrt2kJBgd1UiIiL5RiHGk9x1lwkwISGwahW0aQOnT9tdlYiISL5QiPE0TZrA999DiRKwYQO0bAknTthdlYiISJ5TiPFE9evDDz9AmTKwdSs0bw6//WZ3VSIiInlKIcZT1a4NP/4IFSvCzz9D06awf7/dVYmIiOQZhRhPdvPNZmxMlSpw4ADceSds3253VSIiInlCIcbTVa5sgsytt8Lx4+bS0k8/2V2ViIhIrinEeINy5SAmBho1gj//hFatYNkyu6sSERHJFYUYb1GiBCxfbqZdnz8PHTrAvHl2VyUiInLdFGK8SZEiZmXfrl3NZpHdusGUKXZXJSIicl0UYrxNYCDMmgX9+kFqKgwcCC+/DJZld2UiIiI5ohDjjXx9zRmY5583j196CR57DFJSbC1LREQkJxRivJXDAaNGwXvvmfuTJ5vLTBcu2F2ZiIhItijEeLvBg2H2bAgIgIULoW1bM4NJRETExSnEiDkDs2TJlY0jmzSBgwftrkpERCRLCjFitGhhAkyFCrB7t1lTZvNmu6sSERHJlEKMXBERYVbzjYiA33+HZs1g0SK7qxIREcmQQoykV7GiOSOTtihep04waZLdVYmIiFxFIUauFhIC33wDjz5q1pIZPBiGD9cUbBERcSkKMZIxf3/48EMzDRvgzTfh//4PEhPtrUtEROR/FGIkcw6HWRBv5kyz0u9XX8Gdd8Lhw3ZXJiIiohAj2dCjh9kFu0wZ2LoV7rgD1q+3uyoREfFyCjGSPY0awYYNV2YuNW9u9mASERGxiUKMZF94OKxeDffeC0lJ5gxNdLQG/IqIiC0UYiRnihY12xOMGGEejxkDHTvCmTN2ViUiIl5IIUZyztcXxo6FGTOgUCFYvNiMk9m92+7KRETEiyjEyPXr2RPWrIGwMNi7Fxo2NDOYRERECoBCjOROvXqwaZPZouDsWbPC74svapyMiIjkO4UYyb0bboDly+Hxx83jUaOgfXs4edLeukRExKMpxEje8PeHiRPh00+hcGFYutScpdmwwe7KRETEQynESN56+GGzEF61anDkCDRtCu+/D5Zld2UiIuJhFGIk7916K2zcCJ07Q3IyPPaYCTdnz9pdmYiIeBCFGMkfoaEwb56Ziu3ra/Zfql8fYmPtrkxERDyEQozkH4fDLIr3ww9QsaKZht2oEfznP7q8JCIiuaYQI/mvSRNzBqZjR7NdweOPQ7duWuVXRERyRSFGCkbJkvDll/DWW2Ym09y5cNttZrE8ERGR66AQIwXH4YB//MNsInnjjXDokFkkb+RIuHzZ7upERMTN5CjETJo0iYiICEJCQggJCSEyMpLFixdn63dnzZqFw+Hg/vvvv546xZPccYe5vBQVBamp8MorZir2/v12VyYiIm4kRyGmYsWKjBkzhs2bN7Np0yZatmxJp06d2LlzZ5a/d/DgQYYPH07Tpk1zVax4kJAQ+OQT+PxzM5Ppp5/M5aVp0zToV0REssVhWbn7xihRogTjxo2jb9++Gf48JSWFZs2a8eijj7Jq1SrOnDnDwoULc/QaCQkJhIaGEh8fT0hISG7KFVd0+DD06gU//mge33+/WSCvTBlbyxIRkdzJ7+/v6x4Tk5KSwqxZszh37hyRkZGZtnvllVe44YYbMg05GUlKSiIhISHdTTxYeDh8/z289poZ9LtwIdSubQb/ioiIZCLHIWb79u0EBwcTGBjIoEGDWLBgATVr1syw7erVq/noo4/44IMPcvQao0ePJjQ01HkLCwvLaZnibnx9ITra7Ihdp47ZPPKBB+Chh+D0aburExERF5TjEFO9enViY2NZv349jz32GL1792bXrl1XtTt79iy9evXigw8+oFSpUjl6jejoaOLj4523I0eO5LRMcVcREWbTyOeeAx8fs9Jv7drw1Vd2VyYiIi4m12NiWrduTZUqVZg8eXK652NjY6lbty6+vr7O51JTUwHw8fFhz549VKlSJVuvoTExXmr9eujdG/bsMY+7d4d334XSpe2tS0REssVlx8SkSU1NJSkp6arna9Sowfbt24mNjXXe7rvvPu666y5iY2N1iUiurWFD2LIFnn7anJWZNQtq1jQzmjSDSUTE6/nlpHF0dDT33HMP4eHhnD17lpkzZxITE8OSJUsAiIqKokKFCowePZpChQpRu3btdL9frFgxgKueF8lU4cLw+utmfEzfvrBtG/TsaS4zTZpk9mQSERGvlKMzMSdOnCAqKorq1avTqlUrNm7cyJIlS2jTpg0Ahw8fJi4uLl8KFS/XoAFs3GgWxvP3h0WL4JZb4J13tNqviIiXyvWYmIKgMTGSzs6dMGAArF1rHterB5Mnm6AjIiIuw+XHxIgUuFq1YNUqE1yKFYP//teMnxk6FLSmkIiI11CIEffk42POxvz8sxkjk5pqZi7VqGHGy7j+CUYREcklhRhxb2XKwIwZsGQJVKkCcXFmgbwWLWD7drurExGRfKQQI57h7rthxw7497/NjKYff4S6dc0lpjNn7K5ORETygUKMeI5ChcxKvz//DF26QEqKucR0880wZYp5LCIiHkMhRjxPeLjZPHLpUjNG5o8/YOBAM4tp5Uq7qxMRkTyiECOeq00bszjeO++YWUzbtkHLltC5M+zbZ3d1IiKSSwox4tn8/c24mH374IknzG7ZCxea7Qv+8Q84dcruCkVE5DopxIh3KFkSJkwwZ2PatoVLl8wZmipVzLYGFy7YXaGIiOSQQox4l5o14bvvzJTsOnUgPh6efdYM/v3kEw3+FRFxIwox4p3uvtus9Dt9OoSFwdGj0KcP3HYbfPmlFssTEXEDCjHivXx8oFcv+OUXGDvWDP7dsQPuvx8aNYIVK+yuUEREsqAQI1KoEIwYAQcOmHVmgoJgwwZo3drcfvrJ7gpFRCQDCjEiaYoVMyv+/vorDBkCAQHmbExkJNxzjwk2IiLiMhRiRP6uTBkYP95cZnr0UTMt+7vvzE7ZHTrAxo12VygiIijEiGSuUiX46CPYs8cM+vX1hW+/hTvuMGFm3Tq7KxQR8WoKMSLXUqUKTJ1q9mSKijIDgr/9Fho3NmNmYmI0m0lExAYKMSLZVbWqWUvm55/NZSY/PzNm5q674M47YfFihRkRkQKkECOSU9WqmctM+/bB4MEQGAhr10L79lC3LsycCZcv212liIjHU4gRuV6VKsF775nZTP/8JxQpAlu3wkMPmaAzcSKcP293lSIiHkshRiS3ypeHN9+Ew4fhlVegVCk4eBCefNIEnZdeghMn7K5SRMTjKMSI5JUSJeCFF+DQIXMWpnJlOHkSXn4ZwsNhwADYvdvuKkVEPIZCjEheCwqCxx+HvXth1iy4/XZISoIPPjAbUHboAMuXaxCwiEguKcSI5Bc/P3jwQVi/HlatMnsyORxmenabNlC7NkyerHEzIiLXSSFGJL85HGYK9oIFZhXgJ54wg4B37YJBg6BiRXj6aXMZSkREsk0hRqQgVa0KEybAb7/B22/DTTfBn3/CuHHmfqdOsGQJpKbaXamIiMtTiBGxQ2goDBtmzsx89RW0amWCy1dfQbt2UL06vPUWnD5td6UiIi5LIUbETr6+0LGjGei7ezcMHWoCzr598NRTUKEC9O5tFtPTQGARkXQUYkRcRY0a8M475lLTlClQpw5cvAjTp0OTJhARYaZunzljd6UiIi5BIUbE1RQpAv37w5YtZqfsPn2gcGHYscMsoFe+vHlu1SqdnRERr6YQI+KqHA5o1MjsoH3smBkQXLs2XLhgNqJs1sycvRk7Fo4ft7taEZEC57As1/9fuYSEBEJDQ4mPjyckJMTuckTsY1nw009mA8pZs+DcOfO8r69ZRK9PH/PfgABbyxQRgfz//laIEXFXZ8/C7Nkm0Kxbd+X5kiXNJpR9+sBtt5kzOiIiNlCIQSFG5Jp27zaXmKZPh7i4K8/feitERUHPnmYsjYhIAVKIQSFGJNsuXzbTtadNg4ULzZ5NAD4+Zi2aXr2gc2cIDrazShHxEgoxKMSIXJc//4Q5c8zZmTVrrjxfpIjZx6lnT7OHk7+/bSWKiGdTiEEhRiTX9u+Hzz6DTz8199OULg3dupkxNI0aafyMiOQphRgUYkTyjGWZXbVnzIAvvoA//rjys8qVoXt36NHDjKVRoBGRXFKIQSFGJF+kjZ+ZMcPssJ02XRugZk0TZrp3N5tWiohcB4UYFGJE8t3587BokVl75ptvIDn5ys/q1zdhpls3CA+3r0YRcTsKMSjEiBSo+HhzZubzz2HFCkhJufKzxo3hwQfhgQegXDn7ahQRt6AQg0KMiG3++APmzTNnaH788cpeTQ4HNG9uAk2XLmaAsIjI3yjEoBAj4hJ++81M2f7iC7P1QRpfX2jZ0gSazp2hRAn7ahQRl6IQg0KMiMs5dMhsefDFF7B585Xn/f3h7rvNGJr77gN9XkW8mkIMCjEiLm3fviuBZtu2K88HBprNKLt3h3vvhcKF7atRRGyhEINCjIjb2L3bhJkvvoCff77yfHAwdOpkAs3dd2uXbREvoRCDQoyI27Esc1Zm1ixzO3jwys9KlDCzm3r2hDvvNPs6iYhHUohBIUbErVkWbNhgpmzPnp1+l+2KFc2iej17Qp06WiVYxMMoxKAQI+IxUlLghx/MKsHz5pk1adLUrm122X7oIahQwb4aRSTPKMSgECPikS5ehMWLTaD5+usrqwQ7HGbKdq9eZg2a4GB76xSR66YQg0KMiMc7c8asQfPpp7Bq1ZXnixQx2x306QNNm+pyk4ibUYhBIUbEqxw4YM7OfPKJmb6d5qabTJjp0wfCwuyqTkRyQCEGhRgRr2RZsHYtTJ1qpmwnJprnHQ5o1w769YOOHc0CeyLikvL7+1tzG0XENTkc0KQJfPghHD8O06eb/Zosy4yl6dLFzG56+mn45Re7qxURG+hMjIi4l7174eOPYdo0E27S3HUXDBxo9m/SYnoiLkFnYkRE/qpaNRg9Gg4fhoULzdYGDgesXGlWBK5YEZ55Bvbvt7tSEclnCjEi4p78/c1WBosWmRWBX3gBypeHP/6AsWOhalVo29YEncuX7a5WRPKBQoyIuL/wcHjlFbO79oIFZuCvwwFLl5rLSzfeaH5+7JjdlYpIHlKIERHP4ecH999vBv7u22cuK5UqBUePwsiRJuw88IC59OT6wwFF5BoUYkTEM910E4wZYwLMjBlms8mUFJg716wIXKsWTJwICQl2Vyoi10khRkQ8W2Cg2WBy1SrYuhUGDTIrAe/eDU8+afZpGjwYdu60u1IRySGFGBHxHhERMGkS/PYbTJgANWqYRfQmTTIbUN51l9mYUgOBRdyCQoyIeJ/QUHjiCdi1C1asgP/7P/DxgZgY6NoVKleGV181M51ExGUpxIiI90rbMXvePLNn07/+BaVLmzM1zz9v9mh65BHYssXuSkUkAzkKMZMmTSIiIoKQkBBCQkKIjIxk8eLFmbafP38+DRo0oFixYhQpUoTbbruNTz/9NNdFi4jkufBwc/blyBGzxUGDBpCUZFYGrlfP7KI9d64uNYm4kBxtO/D111/j6+tLtWrVsCyLTz75hHHjxrFlyxZq1ap1VfuYmBj+/PNPatSoQUBAAIsWLeKpp57im2++oW3bttkuUtsOiEiBsyxYvx7efRfmzLkSXipVMgOC+/Uzl6VEJFMuv4t1iRIlGDduHH379s1W+3r16tGhQwdGjRqV7ddQiBERWx07Zgb/vv8+nDxpngsOhkcfhSFDoEoVe+sTcVEuu3dSSkoKs2bN4ty5c0RGRl6zvWVZrFixgj179tCsWbMs2yYlJZGQkJDuJiJim/LlYdQos1/TBx9AzZpmVtO775q9nLp2NWdtRKRA5TjEbN++neDgYAIDAxk0aBALFiygZs2ambaPj48nODiYgIAAOnTowIQJE2jTpk2WrzF69GhCQ0Odt7CwsJyWKSKS9woXNpeRduyAJUvM9gaWZQYGN2oEzZubvZxSU+2uVMQr5PhyUnJyMocPHyY+Pp65c+fy4Ycf8sMPP2QaZFJTU/n1119JTExkxYoVjBo1ioULF9KiRYtMXyMpKYmkpCTn44SEBMLCwnQ5SURcz44d8MYbMHMmXLpknqtZE0aMgIceMhtVingplx8T07p1a6pUqcLkyZOz1b5fv34cOXKEJUuWZPs1NCZGRFze0aMwfjxMngxnz5rnwsNh+HDo2xeCguytT8QGLjsmJk1qamq6syZ53V5ExC1UrAjjxpkp2mPGQJkyZgzNkCFXFs87c8buKkU8So5CTHR0ND/++CMHDx5k+/btREdHExMTw0MPPQRAVFQU0dHRzvajR49m2bJl/Prrr+zevZs333yTTz/9lIcffjhveyEi4ipCQ83u2QcOwH/+AzfeaFb+ff55Mz37+eevzHASkVzJUYg5ceIEUVFRVK9enVatWrFx40aWLFniHKh7+PBh4uLinO3PnTvH4MGDqVWrFk2aNGHevHl89tln9OvXL297ISLiagoXhsceg19+Mbto165tdsx+9VVzZmbECDh+3O4qRdxarsfEFASNiRERt5eaCl9+aaZqp21jUKgQ9O9vztxUqGBvfSL5wOXHxIiISDb4+EDnzrB5s5mG3bAhXLxodtOuUsVsSHn0qN1VirgVhRgRkYLkcECHDrBuHSxdCnfeafZoeu89E2YGDzaDg0XkmhRiRETs4HBAmzbw44+wYgU0awbJyWZ7gypVzHgahRmRLCnEiIjYyeGAli3hhx8gJgbuusssmvf++1C1Kjz+uC4ziWRCIUZExFU0bw7ff2/CTIsW5szMf/5zZczMb7/ZXaGIS1GIERFxNc2bw8qV5pZ2mSltzMw//gG//253hSIuQSFGRMRVtWhhzsqsWAFNmpgBwO+8AzfdZKZlnzplc4Ei9lKIERFxZWljZlatgu++g9tvh/PnYexYs2jeiy9CfLzdVYrYQiFGRMQdOBzQti2sXw9ffQW33QaJiWbxvJtuMvs2nT9vd5UiBUohRkTEnTgc0LGjWTRv7lyoUQNOn4annzazmSZNMmNoRLyAQoyIiDvy8YEuXWD7dpg61WwuGRdnFsu75Rb44guz1YGIB1OIERFxZ35+0KcP7NljtjAoUwZ+/RW6dzdbG6xcaXeFIvlGIUZExBMEBpq1ZPbtg5dfhuBg2LTJDApu396csRHxMAoxIiKeJDjYzFjav9+s9uvnB4sXQ506Zsfs48ftrlAkzyjEiIh4ohtugIkTYdcueOABsCz48EOoVg1eew0uXLC7QpFcU4gREfFk1arB7NmwZg3ccYeZlv3cc2ZW06xZJtyIuCmFGBERb9C4MaxbB599BhUrwuHD0KMHNG0K//2v3dWJXBeFGBERb+HjAw89ZGYyjRoFQUHmDE2DBjBwIPzxh90ViuSIQoyIiLcJCoLnnzdhpmdPc0lpyhS4+WYzTfvyZbsrFMkWhRgREW9VsSLMmAE//mi2MThzBoYMgXr1zF5NIi5OIUZExNs1bWrWlHn/fShRwqwp06wZREVpSra4NIUYEREBX18zLuaXX2DAALNH06efQvXq8O67usQkLkkhRkRErihZEiZPhp9+MgN+ExJg6FBzf906u6sTSUchRkRErnbHHSbIvP8+FC8OW7eaadoDBphds0VcgEKMiIhkLO0S0549ZpNJgA8+MJeYpk3TQnliO4UYERHJWunSMHWqmcVUqxacPAmPPALNm5ttDURsohAjIiLZ07QpbNkCY8eatWZWrTJTs59/XnsxiS0UYkREJPv8/WHECNi9G+67Dy5dgldfhVtvhWXL7K5OvIxCjIiI5Fx4OCxcCPPnQ4UKsH8/3H232dbgxAm7qxMvoRAjIiLXx+GAzp3NuJghQ8zjmTPhlltg+nQN/JV8pxAjIiK5ExIC48fD+vVQp46Zgt27N7RrBwcP2l2deDCFGBERyRu33w4bN8Jrr0FgICxdCrVrm4CTkmJ3deKBFGJERCTv+PtDdDRs22b2Xzp3DoYNgzvvhJ9/trs68TAKMSIikvduvhlWrjRbGISEmNV/b7sN3nhDZ2UkzyjEiIhI/vDxMdsU7NgBbdtCUpKZnq2zMpJHFGJERCR/hYXB4sXw4Yfpz8q8+SakptpdnbgxhRgREcl/Dgf07Zv+rMzw4dCqFRw+bHd14qYUYkREpOCknZX54AMoUgRiYiAiwqwvI5JDCjEiIlKwHA7o1w9iY6FRI4iPNyv99uwJf/5pd3XiRhRiRETEHlWrmk0kX34ZfH3h88/NYnk//mh3ZeImFGJERMQ+fn7w4ouwZo0JNUeOwF13wUsvweXLdlcnLk4hRkRE7NewIWzZAo88YmYsvfwytGypQb+SJYUYERFxDcHB8PHHZpBv0aLmUtNtt5mdskUyoBAjIiKupUcPM+j3jjvMQN8uXeDxx+HiRbsrExejECMiIq7npptg9Wp45hnz+D//gSZNYP9+e+sSl6IQIyIirsnfH8aMMevKlCwJ//0v1KsHc+bYXZm4CIUYERFxbe3amctLTZpAQgJ06wZPPGFW/RWvphAjIiKur2JFsyv2s8+ax++9Z0LNgQP21iW2UogRERH34O8Po0fDN99AiRKweTPUrw+LFtldmdhEIUZERNxL+/ZmTZm02UsdO8K//qXF8byQQoyIiLif8HCzjswTT5jHo0dDmzZw/Li9dUmBUogRERH3FBAAEyaYPZfSdsSuV89sYSBeQSFGRETcW/fusHEj1KwJcXHQogW8+y5Ylt2VST5TiBEREfd3yy2wfj08+KAZGzN0KDz8MJw7Z3dlko8UYkRExDMEB5tLS2+/Db6+Zg+myEjYt8/uyiSfKMSIiIjncDhg2DD4/nsoUwa2b4cGDeDbb+2uTPKBQoyIiHieZs3MNgWNG0N8PNx7L7z+usbJeBiFGBER8Uzly5tVfgcMMOHl2WehZ084f97uyiSPKMSIiIjnCgiAyZNh0iTw84NZs+DOO+HwYbsrkzygECMiIp5v0CBYsQJKlzar/TZoAKtX212V5JJCjIiIeIdmzWDTJqhbF/74A1q1ghkz7K5KckEhRkREvEd4uDkD83//B8nJZi2Zl1/WgF83pRAjIiLeJSgI5syBESPM45degqgoSEqytSzJOYUYERHxPj4+MHYsTJliFsb77DNo3RpOnrS7MskBhRgREfFe/fvD4sUQEmIuMzVuDAcP2l2VZFOOQsykSZOIiIggJCSEkJAQIiMjWbx4cabtP/jgA5o2bUrx4sUpXrw4rVu3ZsOGDbkuWkREJM+0aQNr15rxMnv3miCzbZvdVUk25CjEVKxYkTFjxrB582Y2bdpEy5Yt6dSpEzt37sywfUxMDD169GDlypWsW7eOsLAw7r77bn777bc8KV5ERCRP1Kplgkzt2mYn7GbN4Icf7K5KrsFhWbkbkl2iRAnGjRtH3759r9k2JSWF4sWLM3HiRKKiorL9GgkJCYSGhhIfH09ISEhuyhUREcncn3/CffeZS0uBgWZDyc6d7a7KbeX39/d1j4lJSUlh1qxZnDt3jsjIyGz9zvnz57l06RIlSpTIsl1SUhIJCQnpbiIiIvmueHFYuhQ6dTKzlbp2NYN/xSXlOMRs376d4OBgAgMDGTRoEAsWLKBmzZrZ+t1nnnmG8uXL07p16yzbjR49mtDQUOctLCwsp2WKiIhcn8KFYe5c6NcPUlNh4EAYN87uqiQDOb6clJyczOHDh4mPj2fu3Ll8+OGH/PDDD9cMMmPGjGHs2LHExMQQERGRZdukpCSS/jJfPyEhgbCwMF1OEhGRgmNZ8NxzMHq0efz88/DKK+Bw2FuXG8nvy0m5HhPTunVrqlSpwuTJkzNt88Ybb/Dvf/+b5cuX06BBgxy/hsbEiIiIbcaMgehoc3/oUHj7bQWZbHLZMTFpUlNT0501+buxY8cyatQovvvuu+sKMCIiIrZ69lmYONHcHz/erC2TkmJvTQKAX04aR0dHc8899xAeHs7Zs2eZOXMmMTExLFmyBICoqCgqVKjA6P+denv99dd58cUXmTlzJpUrV+b48eMABAcHExwcnMddERERySePPw7BwfDoo/DRR3DuHEyfDv7+dlfm1XIUYk6cOEFUVBRxcXGEhoYSERHBkiVLaNOmDQCHDx/Gx+fKyZ1JkyaRnJxM165d0x1n5MiRvPTSS7mvXkREpKD07g1FikDPnjBrFly8CF98AQEBdlfmtXI9JqYgaEyMiIi4jMWLzdoxSUnQoYOZyVSokN1VuSSXHxMjIiLiVe65BxYtMlOxv/nGrClz4YLdVXklhRgREZGcat0avv3WXF5auhTuvdeMk5ECpRAjIiJyPVq0gO++g6JF4fvvzRmas2ftrsqrKMSIiIhcrzvvNGdiQkNh1SoFmQKmECMiIpIbjRrB8uVQrBisWaMgU4AUYkRERHKrQQNYtuxKkGnfXkGmACjEiIiI5IW/BpnVqxVkCoBCjIiISF5JCzKhoVeCTGKi3VV5LIUYERGRvPT3INOhA5w/b3dVHkkhRkREJK/dfrsJMiEh8OOPV1b4lTylECMiIpIfbr/dbFGQtiBet25w6ZLdVXkUhRgREZH80rgxfPUVBAaa//bqBSkpdlflMRRiRERE8lPLljB/Pvj7m12v+/eH1FS7q/IICjEiIiL5rX17mDkTfHxg6lQYOhQsy+6q3J5CjIiISEHo2hWmTQOHAyZOhNdes7sit6cQIyIiUlB69YJ33zX3n3/ehBq5bgoxIiIiBemJJ+DZZ839fv3MDCa5LgoxIiIiBe21167MVHrgAdi0ye6K3JJCjIiISEFzOODDD6FNGzh3zqzqu3+/3VW5HYUYEREROwQEwLx5ULcunDgBbdvCyZN2V+VWFGJERETsUrQofPstVK5szsQ88IBW9c0BhRgRERE7lS0L33xjAk1MDAwbZndFbkMhRkRExG41a8KMGWaszH/+A5Mn212RW1CIERERcQUdO8K//23uP/GE2f1asqQQIyIi4iqio+HBB+HyZejSBQ4dsrsil6YQIyIi4iocDvj4YzNj6eRJ6NTJTMGWDCnEiIiIuJKgIFi4EG64AbZuNbtea7PIDCnEiIiIuJrwcJg7F3x94fPP4f337a7IJSnEiIiIuKKmTeH11839YcNg40Zby3FFCjEiIiKu6p//hPvvh+RksxDe6dN2V+RSFGJERERclcMBU6dClSpmplJUFKSm2l2Vy1CIERERcWXFipnxMYGBZmXfsWPtrshlKMSIiIi4uttug/feM/efe85sTyAKMSIiIm7h0UehTx9zOalHD7PztZdTiBEREXEHDoc5G1OrFhw/fiXQeDGFGBEREXcRFASzZkGhQrB4Mbz9tt0V2UohRkRExJ3Urg3jx5v7zz7r1evHKMSIiIi4m/79zboxly9D9+6QkGB3RbZQiBEREXE3DgdMmQKVKsGvv8LAgV65v5JCjIiIiDsqVsyMj/H1Nf+dOtXuigqcQoyIiIi7atQI/v1vc/+JJ2DPHnvrKWAKMSIiIu7s6aehVSu4cAEefhguXbK7ogKjECMiIuLOfHxg2jQoXhw2bYJRo+yuqMAoxIiIiLi7ihVh8mRz/9VXYe1ae+spIAoxIiIinuCBB6BXL7OKb69ecPas3RXlO4UYERERTzFhwpVp18OG2V1NvlOIERER8RShofDpp2YdmY8/hvnz7a4oXynEiIiIeJKmTeGZZ8z9/v0hLs7eevKRQoyIiIinefllqFsXTp8268d4KIUYERERTxMQYKZd+/mZS0rz5tldUb5QiBEREfFEERFml2uAxx83Z2U8jEKMiIiIp3r+eahRA37/HZ56yu5q8pxCjIiIiKcKDISPPjKzlaZNg6VL7a4oTynEiIiIeLLGjeHJJ839AQMgMdHeevKQQoyIiIine/VVswjeoUPw3HN2V5NnFGJEREQ8XXAwTJli7k+Y4DF7KynEiIiIeIO774bevcGyzNoxKSl2V5RrCjEiIiLeYuxYCAmBLVvgk0/sribXFGJERES8xQ03wIsvmvv/+hckJNhbTy4pxIiIiHiTJ5+EqlXN2jGvvWZ3NbmiECMiIuJNAgLgzTfN/bffhl9/tbeeXFCIERER8TYdO0Lr1pCcDCNG2F3NdfOzuwC7nTt3LtOf+fr6UqhQoWy19fHxoXDhwtfV9vz581iWlWFbh8NBUFDQdbW9cOECqampmdZRpEiR62p78eJFUrIY1Z6TtkFBQTgcDgCSkpK4fPlynrQtXLgwPj4moycnJ3Pp0qU8aVuoUCF8fX1z3PbSpUskJydn2jYwMBA/P78ct718+TJJSUmZtg0ICMDf3z/HbVNSUrh48WKmbf39/QkICMhx29TUVC5cuJAnbf38/AgMDATAsizOnz+fJ21z8rnXvxEZt9W/EW7yb8SrrxKwYgX+8+dDTAy0aJHpMV2W5Qbi4+MtwIqPj8/zYwOZ3tq3b5+ubVBQUKZtmzdvnq5tqVKlMm3boEGDdG0rVaqUaduaNWuma1uzZs1M21aqVCld2wYNGmTatlSpUunaNm/ePNO2QUFB6dq2b98+yz+3v+ratWuWbRMTE51te/funWXbEydOONsOHjw4y7YHDhxwth0+fHiWbXfs2OFsO3LkyCzbbtiwwdl27NixWbZduXKls+3EiROzbLto0SJn26lTp2bZdvbs2c62s2fPzrLt1KlTnW0XLVqUZduJEyc6265cuTLLtmPHjnW23bBhQ5ZtR44c6Wy7Y8eOLNsOHz7c2fbAgQNZth08eLCz7YkTJ7Js27t3b2fbxMTELNt27do13d/hrNrq3whz078RV25u92/EXXdZFlhWnTqWdfmyldfy8/vbsiwrR5eTJk2aREREBCEhIYSEhBAZGcnixYszbb9z5066dOlC5cqVcTgcvPPOOzl5OREREclPnTtDsWKwdSt89pnd1eSYw7IyOe+Yga+//hpfX1+qVauGZVl88sknjBs3ji1btlCrVq2r2m/cuJHZs2dTv359/vGPf/DMM88wbNiwHBeZkJBAaGgo8fHxhISE5Pj3s6JTxTlvq1PFbnKqGF1Oup62upx0hf6NyHlbt/w34qOP4ORJs8v1X/7e5YX8/P6GHIaYjJQoUYJx48bRt2/fLNtVrlyZYcOGuVyIERERkfyR39/f1z2wNyUlhTlz5nDu3DkiIyPzsiaSkpLSJccEN1+MR0RERPJejqdYb9++neDgYAIDAxk0aBALFiygZs2aeVrU6NGjCQ0Ndd7CwsLy9PgiIiLi/nIcYqpXr05sbCzr16/nscceo3fv3uzatStPi4qOjiY+Pt55O3LkSJ4eX0RERNxfji8nBQQEULVqVQDq16/Pxo0bGT9+PJMnT86zogIDA52D8EREREQykusVe1NTU7Mc+SwiIiKSH3J0JiY6Opp77rmH8PBwzp49y8yZM4mJiWHJkiUAREVFUaFCBUaPHg2Y6WVpl5qSk5P57bffiI2NJTg42Hk2R0REROR65CjEnDhxgqioKOLi4ggNDSUiIoIlS5bQpk0bAA4fPuycSw9w7Ngx6tat63z8xhtv8MYbb9C8eXNiYmLypgciIiLilXK9TkxB0DoxIiIi7ie/v7+1i7WIiIi4JYUYERERcUsKMSIiIuKWFGJERETELSnEiIiIiFu67g0gC1LaBCptBCkiIuI+0r6382sitFuEmLNnzwJoI0gRERE3dPbsWUJDQ/P8uG6xTkxqairHjh2jaNGiOByOPDtuQkICYWFhHDlyxOPXn/GWvnpLP8F7+uot/QTv6au39BO8p6+Z9dOyLM6ePUv58uXTLYabV9ziTIyPjw8VK1bMt+OHhIR49F+uv/KWvnpLP8F7+uot/QTv6au39BO8p68Z9TM/zsCk0cBeERERcUsKMSIiIuKWvDrEBAYGMnLkSAIDA+0uJd95S1+9pZ/gPX31ln6C9/TVW/oJ3tNXu/rpFgN7RURERP7Oq8/EiIiIiPtSiBERERG3pBAjIiIibkkhRkRERNySW4eY9957j8qVK1OoUCEaNmzIhg0bsmw/Z84catSoQaFChbj11lv59ttv0/3csixefPFFypUrR+HChWndujV79+5N1+b06dM89NBDhISEUKxYMfr27UtiYmKe9+3v7Ohr5cqVcTgc6W5jxozJ8779VV73c/78+dx9992ULFkSh8NBbGzsVce4ePEijz/+OCVLliQ4OJguXbrw+++/52W3MmRHX1u0aHHVezpo0KC87NZV8rKfly5d4plnnuHWW2+lSJEilC9fnqioKI4dO5buGJ7wOc1uXz3hc/rSSy9Ro0YNihQpQvHixWndujXr169P18YT3lPIXl894T39q0GDBuFwOHjnnXfSPZ8n76nlpmbNmmUFBARYH3/8sbVz506rf//+VrFixazff/89w/Zr1qyxfH19rbFjx1q7du2ynn/+ecvf39/avn27s82YMWOs0NBQa+HChdbWrVut++67z7rxxhutCxcuONu0a9fOqlOnjvXTTz9Zq1atsqpWrWr16NHDI/taqVIl65VXXrHi4uKct8TERLfq5/Tp062XX37Z+uCDDyzA2rJly1XHGTRokBUWFmatWLHC2rRpk9WoUSOrcePG+dVNy7Ls62vz5s2t/v37p3tP4+Pj86ubed7PM2fOWK1bt7a++OIL6+eff7bWrVtn3XHHHVb9+vXTHccTPqfZ7asnfE5nzJhhLVu2zNq/f7+1Y8cOq2/fvlZISIh14sQJZxtPeE+z21dPeE/TzJ8/36pTp45Vvnx56+233073s7x4T902xNxxxx3W448/7nyckpJilS9f3ho9enSG7bt162Z16NAh3XMNGza0Bg4caFmWZaWmplply5a1xo0b5/z5mTNnrMDAQOvzzz+3LMuydu3aZQHWxo0bnW0WL15sORwO67fffsuzvv2dHX21LPNB+vtfuvyU1/38qwMHDmT4xX7mzBnL39/fmjNnjvO53bt3W4C1bt26XPQma3b01bJMiBk6dGiuas+J/Oxnmg0bNliAdejQIcuyPOdzmpG/99WyPOtzmiY+Pt4CrOXLl1uW5dnv6d/7alme854ePXrUqlChgrVjx46r+pRX76lbXk5KTk5m8+bNtG7d2vmcj48PrVu3Zt26dRn+zrp169K1B2jbtq2z/YEDBzh+/Hi6NqGhoTRs2NDZZt26dRQrVowGDRo427Ru3RofH5+rTgfmFbv6mmbMmDGULFmSunXrMm7cOC5fvpxXXUsnP/qZHZs3b+bSpUvpjlOjRg3Cw8NzdJycsKuvaWbMmEGpUqWoXbs20dHRnD9/PsfHyI6C6md8fDwOh4NixYo5j+EJn9OM/L2vaTzpc5qcnMyUKVMIDQ2lTp06zmN44nuaUV/TuPt7mpqaSq9evRgxYgS1atXK8Bh58Z66xQaQf3fy5ElSUlIoU6ZMuufLlCnDzz//nOHvHD9+PMP2x48fd/487bms2txwww3pfu7n50eJEiWcbfKaXX0FGDJkCPXq1aNEiRKsXbuW6Oho4uLieOutt3Ldr7/Lj35mx/HjxwkICLjqSyGnx8kJu/oK0LNnTypVqkT58uXZtm0bzzzzDHv27GH+/Pk560Q2FEQ/L168yDPPPEOPHj2cm855yuf07zLqK3jO53TRokV0796d8+fPU65cOZYtW0apUqWcx/Ck9zSrvoJnvKevv/46fn5+DBkyJNNj5MV76pYhRgrGP//5T+f9iIgIAgICGDhwIKNHj/b4JbQ91YABA5z3b731VsqVK0erVq3Yv38/VapUsbGynLt06RLdunXDsiwmTZpkdzn5Kqu+esrn9K677iI2NpaTJ0/ywQcf0K1bN9avX3/VF50nuFZf3f093bx5M+PHj+e///0vDocjX1/LLS8nlSpVCl9f36tmkPz++++ULVs2w98pW7Zslu3T/nutNidOnEj388uXL3P69OlMXze37OprRho2bMjly5c5ePBgTrtxTfnRz+woW7YsycnJnDlzJlfHyQm7+pqRhg0bArBv375cHScj+dnPtC/1Q4cOsWzZsnRnJjzlc5omq75mxF0/p0WKFKFq1ao0atSIjz76CD8/Pz766CPnMTzpPc2qrxlxt/d01apVnDhxgvDwcPz8/PDz8+PQoUM89dRTVK5c2XmMvHhP3TLEBAQEUL9+fVasWOF8LjU1lRUrVhAZGZnh70RGRqZrD7Bs2TJn+xtvvJGyZcuma5OQkMD69eudbSIjIzlz5gybN292tvn+++9JTU11fhnkNbv6mpHY2Fh8fHzy5f+M8qOf2VG/fn38/f3THWfPnj0cPnw4R8fJCbv6mpG0adjlypXL1XEykl/9TPtS37t3L8uXL6dkyZJXHcMTPqdw7b5mxFM+p6mpqSQlJTmP4SnvaUb+2teMuNt72qtXL7Zt20ZsbKzzVr58eUaMGMGSJUucx8iT9zTbQ4BdzKxZs6zAwEBr2rRp1q5du6wBAwZYxYoVs44fP25ZlmX16tXLevbZZ53t16xZY/n5+VlvvPGGtXv3bmvkyJEZTjsuVqyY9eWXX1rbtm2zOnXqlOEU67p161rr16+3Vq9ebVWrVq1ApvkVdF/Xrl1rvf3221ZsbKy1f/9+67PPPrNKly5tRUVFuVU/T506ZW3ZssX65ptvLMCaNWuWtWXLFisuLs7ZZtCgQVZ4eLj1/fffW5s2bbIiIyOtyMjIfOunXX3dt2+f9corr1ibNm2yDhw4YH355ZfWTTfdZDVr1sxt+pmcnGzdd999VsWKFa3Y2Nh0U1CTkpKcx/GEz2l2+uoJn9PExEQrOjraWrdunXXw4EFr06ZN1iOPPGIFBgZaO3bscB7HE97T7PTVE97TjGQ04yov3lO3DTGWZVkTJkywwsPDrYCAAOuOO+6wfvrpJ+fPmjdvbvXu3Ttd+9mzZ1s333yzFRAQYNWqVcv65ptv0v08NTXVeuGFF6wyZcpYgYGBVqtWraw9e/aka3Pq1CmrR48eVnBwsBUSEmI98sgj1tmzZ/Otj2kKuq+bN2+2GjZsaIWGhlqFChWybrnlFuu1116zLl686Fb9nDp1qgVcdRs5cqSzzYULF6zBgwdbxYsXt4KCgqzOnTunCzn5paD7evjwYatZs2ZWiRIlrMDAQKtq1arWiBEj8nWdmLzuZ9r08YxuK1eudLbzhM9pdvrqCZ/TCxcuWJ07d7bKly9vBQQEWOXKlbPuu+8+a8OGDemO4QnvaXb66gnvaUYyCjF58Z46LMuysn/eRkRERMQ1uOWYGBERERGFGBEREXFLCjEiIiLilhRiRERExC0pxIiIiIhbUogRERERt6QQIyIiIm5JIUZERETckkKMiIiIuCWFGBEREXFLCjEiIiLilhRiRERExC39P0Y5pILi1TRQAAAAAElFTkSuQmCC", + "image/png": 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", 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" ] @@ -296,7 +305,7 @@ "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -346,12 +355,12 @@ "name": "stdout", "output_type": "stream", "text": [ - "With dt_max=10, took 610.021 ms (integration time: 534.636 ms)\n", - "With dt_max=20, took 686.939 ms (integration time: 536.861 ms)\n", - "With dt_max=100, took 338.657 ms (integration time: 291.815 ms)\n", - "With dt_max=1000, took 83.867 ms (integration time: 51.518 ms)\n", - "With dt_max=3700, took 52.384 ms (integration time: 32.960 ms)\n", - "With 'fast' mode, took 44.846 ms (integration time: 32.949 ms)\n" + "With dt_max=10, took 575.783 ms (integration time: 508.473 ms)\n", + "With dt_max=20, took 575.500 ms (integration time: 510.705 ms)\n", + "With dt_max=100, took 316.721 ms (integration time: 275.459 ms)\n", + "With dt_max=1000, took 76.646 ms (integration time: 49.294 ms)\n", + "With dt_max=3700, took 48.773 ms (integration time: 32.436 ms)\n", + "With 'fast' mode, took 42.224 ms (integration time: 32.177 ms)\n" ] } ], @@ -396,20 +405,26 @@ "name": "stdout", "output_type": "stream", "text": [ - "With dt_max=10, took 541.980 ms (integration time: 447.827 ms)\n", - "With dt_max=20, took 518.415 ms (integration time: 428.332 ms)\n", - "With dt_max=100, took 300.344 ms (integration time: 245.695 ms)\n", - "With dt_max=1000, took 101.787 ms (integration time: 60.608 ms)\n", - "With dt_max=3600, took 516.396 ms (integration time: 32.718 ms)\n" + "With dt_max=10, took 504.163 ms (integration time: 419.740 ms)\n", + "With dt_max=20, took 504.691 ms (integration time: 421.396 ms)\n", + "With dt_max=100, took 286.620 ms (integration time: 238.390 ms)\n", + "With dt_max=1000, took 98.500 ms (integration time: 60.880 ms)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ - "At t = 460.712 and h = 4.16966e-15, the corrector convergence failed repeatedly or with |h| = hmin.\n", - "At t = 460.712 and h = 5.11965e-15, the corrector convergence failed repeatedly or with |h| = hmin.\n", - "At t = 460.712 and h = 8.91111e-13, the corrector convergence failed repeatedly or with |h| = hmin.\n" + "At t = 460.712, , mxstep steps taken before reaching tout.\n", + "At t = 460.712 and h = 1.26752e-15, the corrector convergence failed repeatedly or with |h| = hmin.\n", + "At t = 460.712 and h = 9.51455e-16, the corrector convergence failed repeatedly or with |h| = hmin.\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "With dt_max=3600, took 645.118 ms (integration time: 32.601 ms)\n" ] } ], @@ -462,7 +477,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Took 813.671 ms\n" + "Took 693.344 ms\n" ] } ], @@ -496,7 +511,7 @@ "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -525,12 +540,12 @@ "name": "stdout", "output_type": "stream", "text": [ - "Took 629.273 ms\n" + "Took 598.237 ms\n" ] }, { "data": { - "image/png": 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", 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", 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" ] @@ -572,19 +587,19 @@ "name": "stderr", "output_type": "stream", "text": [ - "At t = 1262.29 and h = 1.0534e-15, the corrector convergence failed repeatedly or with |h| = hmin.\n" + "At t = 1262.29 and h = 3.51225e-14, the corrector convergence failed repeatedly or with |h| = hmin.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ - "Took 539.358 ms\n" + "Took 532.042 ms\n" ] }, { "data": { - "image/png": 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", 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", 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" ] @@ -626,12 +641,12 @@ "name": "stdout", "output_type": "stream", "text": [ - "Took 289.618 ms\n" + "Took 257.314 ms\n" ] }, { "data": { - "image/png": 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", + "image/png": 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", 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" ] @@ -689,7 +704,6 @@ ] }, { - "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ @@ -713,7 +727,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Some functions, such as `minimum`, `maximum`, `heaviside`, and `abs`, are discontinuous and/or non-differentiable (their derivative is discontinuous). Adaptive solvers can deal with this discontinuity, but will take many more steps close to the discontinuity in order to resolve it. Therefore, using smooth approximations instead can reduce the number of steps taken by the solver, and hence the integration time. See [this post](https://discourse.julialang.org/t/handling-instability-when-solving-ode-problems/9019/5) for more details.\n", + "Some functions, such as `minimum`, `maximum`, `heaviside`, and `abs`, are discontinuous and/or non-differentiable (their derivative is discontinuous). Adaptive solvers can deal with this discontinuity, but will take many more steps close to the discontinuity in order to resolve it. Therefore, using soft approximations instead can reduce the number of steps taken by the solver, and hence the integration time. See [this post](https://discourse.julialang.org/t/handling-instability-when-solving-ode-problems/9019/5) for more details.\n", "\n", "Here is an example using the `maximum` function. The function `maximum(x,1)` is continuous but non-differentiable at `x=1`, where its derivative jumps from 0 to 1. However, we can approximate it using the [`softplus` function](https://en.wikipedia.org/wiki/Rectifier_(neural_networks)#Softplus), which is smooth everywhere and is sometimes used in neural networks as a smooth approximation to the RELU activation function. The `softplus` function is given by\n", "$$\n", @@ -734,7 +748,7 @@ "output_type": "stream", "text": [ "Exact maximum: maximum(x, y)\n", - "Softplus (k=10): 0.1 * log(exp(10.0 * x) + exp(10.0 * y))\n", + "Softplus (k=10): 0.1 * log(exp(10.0 * x) + exp(10.0 * y))\n", "Softplus (k=20): 0.05 * log(exp(20.0 * x) + exp(20.0 * y))\n", "Softplus (k=30): 0.03333333333333333 * log(exp(30.0 * x) + exp(30.0 * y))\n", "Exact maximum: maximum(x, y)\n" @@ -746,22 +760,23 @@ "y = pybamm.Variable(\"y\")\n", "\n", "# Normal maximum\n", - "print(\"Exact maximum:\", pybamm.maximum(x,y))\n", + "print(f\"Exact maximum: {pybamm.maximum(x,y)}\")\n", "\n", "# Softplus\n", - "print(\"Softplus (k=10):\", pybamm.softplus(x,y,10))\n", + "print(\"Softplus (k=10): \", pybamm.softplus(x,y,10))\n", "\n", "# Changing the setting to call softplus automatically\n", - "pybamm.settings.max_smoothing = 20\n", - "print(\"Softplus (k=20):\", pybamm.maximum(x,y))\n", + "pybamm.settings.min_max_mode = \"soft\"\n", + "pybamm.settings.min_max_smoothing = 20\n", + "print(f\"Softplus (k=20): {pybamm.maximum(x,y)}\")\n", "\n", "# All smoothing parameters can be changed at once\n", "pybamm.settings.set_smoothing_parameters(30)\n", - "print(\"Softplus (k=30):\", pybamm.maximum(x,y))\n", + "print(f\"Softplus (k=30): {pybamm.maximum(x,y)}\")\n", "\n", "# Change back\n", "pybamm.settings.set_smoothing_parameters(\"exact\")\n", - "print(\"Exact maximum:\", pybamm.maximum(x,y))" + "print(f\"Exact maximum: {pybamm.maximum(x,y)}\")" ] }, { @@ -781,7 +796,7 @@ "output_type": "stream", "text": [ "Exact: 1.0\n", - "Softplus: 1.0341598589863317\n" + "Softplus: 1.0\n" ] } ], @@ -809,17 +824,7 @@ "outputs": [ { "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 18, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", 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" ] @@ -836,14 +841,14 @@ "ax.plot(pts.evaluate(), pybamm.softplus(pts,1,5).evaluate(), \":\", lw=2, label=\"softplus (k=5)\")\n", "ax.plot(pts.evaluate(), pybamm.softplus(pts,1,10).evaluate(), \":\", lw=2, label=\"softplus (k=10)\")\n", "ax.plot(pts.evaluate(), pybamm.softplus(pts,1,100).evaluate(), \":\", lw=2, label=\"softplus (k=100)\")\n", - "ax.legend()" + "ax.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "Solving a model with the exact maximum, and smooth approximations, demonstrates a clear speed-up even for a very simple model" + "Solving a model with the exact maximum and soft approximation, demonstrates a clear speed-up even for a very simple model" ] }, { @@ -855,16 +860,16 @@ "name": "stdout", "output_type": "stream", "text": [ - "Exact: 172.240 us\n", - "Smooth, k=5: 161.790 us\n", - "Smooth, k=10: 150.367 us\n", - "Smooth, k=100: 193.054 us\n" + "Exact: 172.706 us\n", + "Soft, k=5: 160.098 us\n", + "Soft, k=10: 133.737 us\n", + "Soft, k=100: 168.833 us\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "13ea3acf77af43019375fb4f53395b28", + "model_id": "d29d9970463440e9a4f57c708b961ed5", "version_major": 2, "version_minor": 0 }, @@ -907,10 +912,180 @@ " for _ in range(100):\n", " sol = solver.solve(model_smooth, [0, 2], inputs={\"k\": k})\n", " time += sol.integration_time\n", + " print(f\"Soft, k={k}:\", time/100)\n", + " sols.append(sol)\n", + "\n", + "pybamm.dynamic_plot(sols, [\"x\", \"max(x,1)\"], labels=[\"exact\"] + [f\"soft (k={k})\" for k in ks]);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "For the minimum and maximum functions, an alternative smoothing functions (smooth_max, smooth_min) are provided.\n", + "$$\n", + " \\textrm{min}(x, y) = 0.5 * (\\sqrt((x - y)^2 + \\sigma) + (x + y))\n", + " \\quad , \\quad\n", + " \\textrm{max}(x, y) = 0.5 * ((x + y) - \\sqrt((x - y)^2 + \\sigma))\n", + "$$\n", + "where\n", + "$$\n", + " \\sigma = \\frac{1}{k^2}\n", + "$$\n", + "For the smooth minimum and maximum functions, the recommended value of k is 100, where the function closely approximates the exact function, but is differentiable.\n", + "\n", + "Changing between the soft, smooth, and exact functions can be done by setting the `min_max_mode` and the value of `k` stored in `min_max_smoothing`" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Exact maximum: maximum(x, y)\n", + "Smooth plus (k=100): 0.5 * (sqrt(0.0001 + (x - y) ** 2.0) + x + y)\n", + "Smooth plus (k=200): 0.5 * (sqrt(2.5e-05 + (x - y) ** 2.0) + x + y)\n", + "Softplus (k=10): 0.1 * log(exp(10.0 * x) + exp(10.0 * y))\n", + "Exact maximum: maximum(x, y)\n" + ] + } + ], + "source": [ + "x = pybamm.Variable(\"x\")\n", + "y = pybamm.Variable(\"y\")\n", + "\n", + "# Normal maximum\n", + "print(f\"Exact maximum: {pybamm.maximum(x,y)}\")\n", + "\n", + "# Smooth plus can be called explicitly\n", + "print(\"Smooth plus (k=100): \", pybamm.smooth_max(x,y,100))\n", + "\n", + "# Smooth plus and smooth minus will be used when the mode is set to \"smooth\"\n", + "pybamm.settings.min_max_mode = \"smooth\"\n", + "pybamm.settings.min_max_smoothing = 200\n", + "print(f\"Smooth plus (k=200): {pybamm.maximum(x,y)}\")\n", + "\n", + "# Setting the smoothing parameters with set_smoothing_parameters() defaults to softplus\n", + "pybamm.settings.set_smoothing_parameters(10)\n", + "print(f\"Softplus (k=10): {pybamm.maximum(x,y)}\")\n", + "\n", + "# Change back\n", + "pybamm.settings.set_smoothing_parameters(\"exact\")\n", + "print(f\"Exact maximum: {pybamm.maximum(x,y)}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here is the plot of smooth_max with different values of `k`" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "pts = pybamm.linspace(0, 2, 100)\n", + "\n", + "fig, ax = plt.subplots(figsize=(10,5))\n", + "ax.plot(pts.evaluate(), pybamm.maximum(pts,1).evaluate(), lw=2, label=\"exact\")\n", + "ax.plot(pts.evaluate(), pybamm.smooth_max(pts,1,5).evaluate(), \":\", lw=2, label=\"smooth_max (k=5)\")\n", + "ax.plot(pts.evaluate(), pybamm.smooth_max(pts,1,10).evaluate(), \":\", lw=2, label=\"smooth_max (k=10)\")\n", + "ax.plot(pts.evaluate(), pybamm.smooth_max(pts,1,100).evaluate(), \":\", lw=2, label=\"smooth_max (k=100)\")\n", + "ax.legend();" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Solving a model with the exact maximum and smooth approximation, demonstrates a clear speed-up even for a very simple model" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Exact: 168.348 us\n", + "Smooth, k=10: 149.515 us\n", + "Smooth, k=50: 170.092 us\n", + "Smooth, k=100: 137.928 us\n", + "Smooth, k=1000: 200.991 us\n", + "Smooth, k=10000: 175.300 us\n" + ] + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "711bb9dbf6634320ba57199bf925b84a", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "interactive(children=(FloatSlider(value=0.0, description='t', max=2.0, step=0.02), Output()), _dom_classes=('w…" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "model_exact = pybamm.BaseModel()\n", + "model_exact.rhs = {x: pybamm.maximum(x, 1)}\n", + "model_exact.initial_conditions = {x: 0.5}\n", + "model_exact.variables = {\"x\": x, \"max(x,1)\": pybamm.maximum(x, 1)}\n", + "\n", + "model_smooth = pybamm.BaseModel()\n", + "k = pybamm.InputParameter(\"k\")\n", + "model_smooth.rhs = {x: pybamm.smooth_max(x, 1, k)}\n", + "model_smooth.initial_conditions = {x: 0.5}\n", + "model_smooth.variables = {\"x\": x, \"max(x,1)\": pybamm.smooth_max(x, 1, k)}\n", + "\n", + "\n", + "# Exact solution\n", + "timer = pybamm.Timer()\n", + "time = 0\n", + "solver = pybamm.CasadiSolver(mode=\"fast\")\n", + "for _ in range(100):\n", + " exact_sol = solver.solve(model_exact, [0, 2])\n", + " # Report integration time, which is the time spent actually doing the integration\n", + " time += exact_sol.integration_time\n", + "print(\"Exact:\", time/100)\n", + "sols = [exact_sol]\n", + "\n", + "ks = [10, 50, 100, 1000, 10000]\n", + "solver = pybamm.CasadiSolver(mode=\"fast\")\n", + "for k in ks:\n", + " time = 0\n", + " for _ in range(100):\n", + " sol = solver.solve(model_smooth, [0, 2], inputs={\"k\": k})\n", + " time += sol.integration_time\n", " print(f\"Smooth, k={k}:\", time/100)\n", " sols.append(sol)\n", "\n", - "pybamm.dynamic_plot(sols, [\"x\", \"max(x,1)\"], labels=[\"exact\"] + [f\"smooth (k={k})\" for k in ks]);" + "pybamm.dynamic_plot(sols, [\"x\", \"max(x,1)\"], labels=[\"exact\"] + [f\"soft (k={k})\" for k in ks]);" ] }, { @@ -929,24 +1104,27 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 23, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Smooth minimum (softminus):\t -0.1 * log(exp(-10.0 * x) + exp(-10.0 * y))\n", + "Soft minimum (softminus):\t -0.1 * log(exp(-10.0 * x) + exp(-10.0 * y))\n", "Smooth heaviside (sigmoid):\t 0.5 + 0.5 * tanh(10.0 * (y - x))\n", - "Smooth absolute value: \t\t x * (exp(10.0 * x) - exp(-10.0 * x)) / (exp(10.0 * x) + exp(-10.0 * x))\n" + "Smooth absolute value: \t\t x * (exp(10.0 * x) - exp(-10.0 * x)) / (exp(10.0 * x) + exp(-10.0 * x))\n", + "Smooth minimum:\t\t\t 0.5 * (x + y - sqrt(0.010000000000000002 + (x - y) ** 2.0))\n" ] } ], "source": [ "pybamm.settings.set_smoothing_parameters(10)\n", - "print(f\"Smooth minimum (softminus):\\t {pybamm.minimum(x,y)!s}\")\n", + "print(f\"Soft minimum (softminus):\\t {pybamm.minimum(x,y)!s}\")\n", "print(f\"Smooth heaviside (sigmoid):\\t {x < y!s}\")\n", "print(f\"Smooth absolute value: \\t\\t {abs(x)!s}\")\n", + "pybamm.settings.min_max_mode = \"smooth\"\n", + "print(f\"Smooth minimum:\\t\\t\\t {pybamm.minimum(x,y)!s}\")\n", "pybamm.settings.set_smoothing_parameters(\"exact\")" ] }, @@ -961,7 +1139,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 24, "metadata": {}, "outputs": [ { @@ -975,8 +1153,7 @@ "[5] Peyman Mohtat, Suhak Lee, Jason B Siegel, and Anna G Stefanopoulou. Towards better estimability of electrode-specific state of health: decoding the cell expansion. Journal of Power Sources, 427:101–111, 2019.\n", "[6] Valentin Sulzer, Scott G. Marquis, Robert Timms, Martin Robinson, and S. Jon Chapman. Python Battery Mathematical Modelling (PyBaMM). Journal of Open Research Software, 9(1):14, 2021. doi:10.5334/jors.309.\n", "[7] Pauli Virtanen, Ralf Gommers, Travis E. Oliphant, Matt Haberland, Tyler Reddy, David Cournapeau, Evgeni Burovski, Pearu Peterson, Warren Weckesser, Jonathan Bright, and others. SciPy 1.0: fundamental algorithms for scientific computing in Python. Nature Methods, 17(3):261–272, 2020. doi:10.1038/s41592-019-0686-2.\n", - "[8] Andrew Weng, Jason B Siegel, and Anna Stefanopoulou. Differential voltage analysis for battery manufacturing process control. arXiv preprint arXiv:2303.07088, 2023.\n", - "\n" + "[8] Andrew Weng, Jason B Siegel, and Anna Stefanopoulou. Differential voltage analysis for battery manufacturing process control. arXiv preprint arXiv:2303.07088, 2023.\n" ] } ], @@ -987,7 +1164,7 @@ ], "metadata": { "kernelspec": { - "display_name": "dev", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -1001,7 +1178,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.16" + "version": "3.9.18" }, "toc": { "base_numbering": 1, diff --git a/noxfile.py b/noxfile.py index 4805bff83c..a670b48e17 100644 --- a/noxfile.py +++ b/noxfile.py @@ -60,6 +60,10 @@ def run_coverage(session): """Run the coverage tests and generate an XML report.""" set_environment_variables(PYBAMM_ENV, session=session) session.install("coverage", silent=False) + # Temporary fix for Python 3.12 CI. TODO: remove after + # https://bitbucket.org/pybtex-devs/pybtex/issues/169/replace-pkg_resources-with + # is fixed + session.install("setuptools", silent=False) if sys.platform != "win32": if sys.version_info > (3, 12): session.install("-e", ".[all,jax]", silent=False) @@ -79,6 +83,10 @@ def run_coverage(session): def run_integration(session): """Run the integration tests.""" set_environment_variables(PYBAMM_ENV, session=session) + # Temporary fix for Python 3.12 CI. TODO: remove after + # https://bitbucket.org/pybtex-devs/pybtex/issues/169/replace-pkg_resources-with + # is fixed + session.install("setuptools", silent=False) if sys.platform != "win32": if sys.version_info > (3, 12): session.install("-e", ".[all,jax]", silent=False) @@ -95,6 +103,10 @@ def run_integration(session): @nox.session(name="doctests") def run_doctests(session): """Run the doctests and generate the output(s) in the docs/build/ directory.""" + # Temporary fix for Python 3.12 CI. TODO: remove after + # https://bitbucket.org/pybtex-devs/pybtex/issues/169/replace-pkg_resources-with + # is fixed + session.install("setuptools", silent=False) session.install("-e", ".[all,docs]", silent=False) session.run("python", "run-tests.py", "--doctest") @@ -103,6 +115,10 @@ def run_doctests(session): def run_unit(session): """Run the unit tests.""" set_environment_variables(PYBAMM_ENV, session=session) + # Temporary fix for Python 3.12 CI. TODO: remove after + # https://bitbucket.org/pybtex-devs/pybtex/issues/169/replace-pkg_resources-with + # is fixed + session.install("setuptools", silent=False) if sys.platform != "win32": if sys.version_info > (3, 12): session.install("-e", ".[all,jax]", silent=False) @@ -120,6 +136,10 @@ def run_unit(session): def run_examples(session): """Run the examples tests for Jupyter notebooks.""" set_environment_variables(PYBAMM_ENV, session=session) + # Temporary fix for Python 3.12 CI. TODO: remove after + # https://bitbucket.org/pybtex-devs/pybtex/issues/169/replace-pkg_resources-with + # is fixed + session.install("setuptools", silent=False) session.install("-e", ".[all,dev]", silent=False) notebooks_to_test = session.posargs if session.posargs else [] session.run("pytest", "--nbmake", *notebooks_to_test, external=True) @@ -129,6 +149,10 @@ def run_examples(session): def run_scripts(session): """Run the scripts tests for Python scripts.""" set_environment_variables(PYBAMM_ENV, session=session) + # Temporary fix for Python 3.12 CI. TODO: remove after + # https://bitbucket.org/pybtex-devs/pybtex/issues/169/replace-pkg_resources-with + # is fixed + session.install("setuptools", silent=False) session.install("-e", ".[all]", silent=False) session.run("python", "run-tests.py", "--scripts") @@ -140,6 +164,10 @@ def set_dev(session): session.install("virtualenv", "cmake") session.run("virtualenv", os.fsdecode(VENV_DIR), silent=True) python = os.fsdecode(VENV_DIR.joinpath("bin/python")) + # Temporary fix for Python 3.12 CI. TODO: remove after + # https://bitbucket.org/pybtex-devs/pybtex/issues/169/replace-pkg_resources-with + # is fixed + session.run(python, "-m", "pip", "install", "setuptools", external=True) if sys.platform == "linux": if sys.version_info > (3, 12): session.run( @@ -188,6 +216,10 @@ def set_dev(session): def run_tests(session): """Run the unit tests and integration tests sequentially.""" set_environment_variables(PYBAMM_ENV, session=session) + # Temporary fix for Python 3.12 CI. TODO: remove after + # https://bitbucket.org/pybtex-devs/pybtex/issues/169/replace-pkg_resources-with + # is fixed + session.install("setuptools", silent=False) if sys.platform != "win32": if sys.version_info > (3, 12): session.install("-e", ".[all,jax]", silent=False) @@ -206,6 +238,10 @@ def build_docs(session): """Build the documentation and load it in a browser tab, rebuilding on changes.""" envbindir = session.bin session.install("-e", ".[all,docs]", silent=False) + # Temporary fix for Python 3.12 CI. TODO: remove after + # https://bitbucket.org/pybtex-devs/pybtex/issues/169/replace-pkg_resources-with + # is fixed + session.install("setuptools", silent=False) session.chdir("docs") # Local development if session.interactive: diff --git a/pybamm/expression_tree/binary_operators.py b/pybamm/expression_tree/binary_operators.py index 20c0fc66bd..7348e08712 100644 --- a/pybamm/expression_tree/binary_operators.py +++ b/pybamm/expression_tree/binary_operators.py @@ -1239,11 +1239,14 @@ def minimum(left, right): if out is not None: return out - k = pybamm.settings.min_smoothing + mode = pybamm.settings.min_max_mode + k = pybamm.settings.min_max_smoothing # Return exact approximation if that is the setting or the outcome is a constant # (i.e. no need for smoothing) - if k == "exact" or (left.is_constant() and right.is_constant()): + if mode == "exact" or (left.is_constant() and right.is_constant()): out = Minimum(left, right) + elif mode == "smooth": + out = pybamm.smooth_min(left, right, k) else: out = pybamm.softminus(left, right, k) return pybamm.simplify_if_constant(out) @@ -1260,11 +1263,14 @@ def maximum(left, right): if out is not None: return out - k = pybamm.settings.max_smoothing + mode = pybamm.settings.min_max_mode + k = pybamm.settings.min_max_smoothing # Return exact approximation if that is the setting or the outcome is a constant # (i.e. no need for smoothing) - if k == "exact" or (left.is_constant() and right.is_constant()): + if mode == "exact" or (left.is_constant() and right.is_constant()): out = Maximum(left, right) + elif mode == "smooth": + out = pybamm.smooth_max(left, right, k) else: out = pybamm.softplus(left, right, k) return pybamm.simplify_if_constant(out) @@ -1311,8 +1317,8 @@ def _heaviside(left, right, equal): def softminus(left, right, k): """ - Softplus approximation to the minimum function. k is the smoothing parameter, - set by `pybamm.settings.min_smoothing`. The recommended value is k=10. + Softminus approximation to the minimum function. k is the smoothing parameter, + set by `pybamm.settings.min_max_smoothing`. The recommended value is k=10. """ return pybamm.log(pybamm.exp(-k * left) + pybamm.exp(-k * right)) / -k @@ -1320,11 +1326,29 @@ def softminus(left, right, k): def softplus(left, right, k): """ Softplus approximation to the maximum function. k is the smoothing parameter, - set by `pybamm.settings.max_smoothing`. The recommended value is k=10. + set by `pybamm.settings.min_max_smoothing`. The recommended value is k=10. """ return pybamm.log(pybamm.exp(k * left) + pybamm.exp(k * right)) / k +def smooth_min(left, right, k): + """ + Smooth_min approximation to the minimum function. k is the smoothing parameter, + set by `pybamm.settings.min_max_smoothing`. The recommended value is k=100. + """ + sigma = (1.0 / k)**2 + return ((left + right) - (pybamm.sqrt((left - right)**2 + sigma))) / 2 + + +def smooth_max(left, right, k): + """ + Smooth_max approximation to the maximum function. k is the smoothing parameter, + set by `pybamm.settings.min_max_smoothing`. The recommended value is k=100. + """ + sigma = (1.0 / k) ** 2 + return (pybamm.sqrt((left - right)**2 + sigma) + (left + right)) / 2 + + def sigmoid(left, right, k): """ Sigmoidal approximation to the heaviside function. k is the smoothing parameter, diff --git a/pybamm/input/parameters/lithium_ion/Ai2020.py b/pybamm/input/parameters/lithium_ion/Ai2020.py index abae3087ea..31b9ab228d 100644 --- a/pybamm/input/parameters/lithium_ion/Ai2020.py +++ b/pybamm/input/parameters/lithium_ion/Ai2020.py @@ -451,7 +451,7 @@ def electrolyte_diffusivity_Ai2020(c_e, T): Solid diffusivity """ - D_c_e = 10 ** (-8.43 - 54 / (T - 229 - 5e-3 * c_e) - 0.22e-3 * c_e) + D_c_e = 10 ** (-4.43 - 54 / (T - 229 - 5e-3 * c_e) - 0.22e-3 * c_e) return D_c_e diff --git a/pybamm/settings.py b/pybamm/settings.py index 591d9fd101..30b4c3aa0a 100644 --- a/pybamm/settings.py +++ b/pybamm/settings.py @@ -6,8 +6,8 @@ class Settings: _debug_mode = False _simplify = True - _min_smoothing = "exact" - _max_smoothing = "exact" + _min_max_mode = "exact" + _min_max_smoothing = 10 _heaviside_smoothing = "exact" _abs_smoothing = "exact" max_words_in_line = 4 @@ -43,35 +43,49 @@ def simplify(self, value): self._simplify = value def set_smoothing_parameters(self, k): - "Helper function to set all smoothing parameters" - self.min_smoothing = k - self.max_smoothing = k + """Helper function to set all smoothing parameters""" + if k == "exact": + self.min_max_mode = "exact" + else: + self.min_max_smoothing = k + self.min_max_mode = "soft" self.heaviside_smoothing = k self.abs_smoothing = k - def check_k(self, k): + @staticmethod + def check_k(k): if k != "exact" and k <= 0: raise ValueError( - "smoothing parameter must be 'exact' or a strictly positive number" + "Smoothing parameter must be 'exact' or a strictly positive number" ) @property - def min_smoothing(self): - return self._min_smoothing + def min_max_mode(self): + return self._min_max_mode - @min_smoothing.setter - def min_smoothing(self, k): - self.check_k(k) - self._min_smoothing = k + @min_max_mode.setter + def min_max_mode(self, mode): + if mode not in ["exact", "soft", "smooth"]: + raise ValueError( + "Smoothing mode must be 'exact', 'soft', or 'smooth'" + ) + self._min_max_mode = mode @property - def max_smoothing(self): - return self._max_smoothing + def min_max_smoothing(self): + return self._min_max_smoothing - @max_smoothing.setter - def max_smoothing(self, k): - self.check_k(k) - self._max_smoothing = k + @min_max_smoothing.setter + def min_max_smoothing(self, k): + if self._min_max_mode == "soft" and k <= 0: + raise ValueError( + "Smoothing parameter must be a strictly positive number" + ) + if self._min_max_mode == "smooth" and k < 1: + raise ValueError( + "Smoothing parameter must be greater than 1" + ) + self._min_max_smoothing = k @property def heaviside_smoothing(self): diff --git a/pybamm/solvers/base_solver.py b/pybamm/solvers/base_solver.py index 36f101b1d0..76cf3e9367 100644 --- a/pybamm/solvers/base_solver.py +++ b/pybamm/solvers/base_solver.py @@ -698,7 +698,6 @@ def solve( model, t_eval=None, inputs=None, - initial_conditions=None, nproc=None, calculate_sensitivities=False, ): @@ -717,14 +716,10 @@ def solve( inputs : dict or list, optional A dictionary or list of dictionaries describing any input parameters to pass to the model when solving - initial_conditions : :class:`pybamm.Symbol`, optional - Initial conditions to use when solving the model. If None (default), - `model.concatenated_initial_conditions` is used. Otherwise, must be a symbol - of size `len(model.rhs) + len(model.algebraic)`. nproc : int, optional Number of processes to use when solving for more than one set of input parameters. Defaults to value returned by "os.cpu_count()". - calculate_sensitivites : list of str or bool + calculate_sensitivities : list of str or bool If true, solver calculates sensitivities of all input parameters. If only a subset of sensitivities are required, can also pass a list of input parameter names diff --git a/tests/unit/test_expression_tree/test_binary_operators.py b/tests/unit/test_expression_tree/test_binary_operators.py index 20decfeb6f..ab582ade12 100644 --- a/tests/unit/test_expression_tree/test_binary_operators.py +++ b/tests/unit/test_expression_tree/test_binary_operators.py @@ -412,8 +412,8 @@ def test_softminus_softplus(self): ) # Test that smooth min/max are used when the setting is changed - pybamm.settings.min_smoothing = 10 - pybamm.settings.max_smoothing = 10 + pybamm.settings.min_max_mode = "soft" + pybamm.settings.min_max_smoothing = 10 self.assertEqual(str(pybamm.minimum(a, b)), str(pybamm.softminus(a, b, 10))) self.assertEqual(str(pybamm.maximum(a, b)), str(pybamm.softplus(a, b, 10))) @@ -425,8 +425,46 @@ def test_softminus_softplus(self): self.assertEqual(str(pybamm.maximum(a, b)), str(b)) # Change setting back for other tests - pybamm.settings.min_smoothing = "exact" - pybamm.settings.max_smoothing = "exact" + pybamm.settings.set_smoothing_parameters("exact") + + def test_smooth_minus_plus(self): + a = pybamm.Scalar(1) + b = pybamm.StateVector(slice(0, 1)) + + minimum = pybamm.smooth_min(a, b, 3000) + self.assertAlmostEqual(minimum.evaluate(y=np.array([2]))[0, 0], 1) + self.assertAlmostEqual(minimum.evaluate(y=np.array([0]))[0, 0], 0) + + maximum = pybamm.smooth_max(a, b, 3000) + self.assertAlmostEqual(maximum.evaluate(y=np.array([2]))[0, 0], 2) + self.assertAlmostEqual(maximum.evaluate(y=np.array([0]))[0, 0], 1) + + minimum = pybamm.smooth_min(a, b, 1) + self.assertEqual( + str(minimum), + "0.5 * (1.0 + y[0:1] - sqrt(1.0 + (1.0 - y[0:1]) ** 2.0))", + ) + maximum = pybamm.smooth_max(a, b, 1) + self.assertEqual( + str(maximum), + "0.5 * (sqrt(1.0 + (1.0 - y[0:1]) ** 2.0) + 1.0 + y[0:1])", + ) + + # Test that smooth min/max are used when the setting is changed + pybamm.settings.min_max_mode = "smooth" + + pybamm.settings.min_max_smoothing = 1 + self.assertEqual(str(pybamm.minimum(a, b)), str(pybamm.smooth_min(a, b, 1))) + self.assertEqual(str(pybamm.maximum(a, b)), str(pybamm.smooth_max(a, b, 1))) + + pybamm.settings.min_max_smoothing = 3000 + a = pybamm.Scalar(1) + b = pybamm.Scalar(2) + self.assertEqual(str(pybamm.minimum(a, b)), str(a)) + self.assertEqual(str(pybamm.maximum(a, b)), str(b)) + + # Change setting back for other tests + pybamm.settings.set_smoothing_parameters("exact") def test_binary_simplifications(self): a = pybamm.Scalar(0) diff --git a/tests/unit/test_settings.py b/tests/unit/test_settings.py index 5e40399315..a3b62f8ee4 100644 --- a/tests/unit/test_settings.py +++ b/tests/unit/test_settings.py @@ -16,27 +16,30 @@ def test_simplify(self): pybamm.settings.simplify = True def test_smoothing_parameters(self): - self.assertEqual(pybamm.settings.min_smoothing, "exact") - self.assertEqual(pybamm.settings.max_smoothing, "exact") + self.assertEqual(pybamm.settings.min_max_mode, "exact") self.assertEqual(pybamm.settings.heaviside_smoothing, "exact") self.assertEqual(pybamm.settings.abs_smoothing, "exact") pybamm.settings.set_smoothing_parameters(10) - self.assertEqual(pybamm.settings.min_smoothing, 10) - self.assertEqual(pybamm.settings.max_smoothing, 10) + self.assertEqual(pybamm.settings.min_max_smoothing, 10) self.assertEqual(pybamm.settings.heaviside_smoothing, 10) self.assertEqual(pybamm.settings.abs_smoothing, 10) pybamm.settings.set_smoothing_parameters("exact") # Test errors - with self.assertRaisesRegex(ValueError, "strictly positive"): - pybamm.settings.min_smoothing = -10 - with self.assertRaisesRegex(ValueError, "strictly positive"): - pybamm.settings.max_smoothing = -10 - with self.assertRaisesRegex(ValueError, "strictly positive"): + with self.assertRaisesRegex(ValueError, "greater than 1"): + pybamm.settings.min_max_mode = "smooth" + pybamm.settings.min_max_smoothing = 0.9 + with self.assertRaisesRegex(ValueError, "positive number"): + pybamm.settings.min_max_mode = "soft" + pybamm.settings.min_max_smoothing = -10 + with self.assertRaisesRegex(ValueError, "positive number"): pybamm.settings.heaviside_smoothing = -10 - with self.assertRaisesRegex(ValueError, "strictly positive"): + with self.assertRaisesRegex(ValueError, "positive number"): pybamm.settings.abs_smoothing = -10 + with self.assertRaisesRegex(ValueError, "'soft', or 'smooth'"): + pybamm.settings.min_max_mode = "unknown" + pybamm.settings.set_smoothing_parameters("exact") if __name__ == "__main__":