diff --git a/.github/ISSUE_TEMPLATE/config.yml b/.github/ISSUE_TEMPLATE/config.yml new file mode 100644 index 0000000..a49eab2 --- /dev/null +++ b/.github/ISSUE_TEMPLATE/config.yml @@ -0,0 +1 @@ +blank_issues_enabled: true \ No newline at end of file diff --git a/.github/workflows/docker.yml b/.github/workflows/docker.yml new file mode 100644 index 0000000..57f7784 --- /dev/null +++ b/.github/workflows/docker.yml @@ -0,0 +1,31 @@ +name: docker_container + +on: + push: + branches: + - main + +jobs: + build: + runs-on: ubuntu-latest + steps: + - + name: Checkout the repository + uses: actions/checkout@v3 + - + name: Login to Docker Hub + uses: docker/login-action@v2 + with: + username: ${{ secrets.DOCKERHUB_USERNAME }} + password: ${{ secrets.DOCKERHUB_TOKEN }} + - + name: Set up Docker Buildx + uses: docker/setup-buildx-action@v2 + - + name: Build and push + uses: docker/build-push-action@v4 + with: + context: . + file: ./docker/Dockerfile + push: true + tags: ${{ secrets.DOCKERHUB_USERNAME }}/DeepINN:pre-release \ No newline at end of file diff --git a/.github/workflows/main.yml b/.github/workflows/main.yml index a66b4b6..6f8d9b5 100644 --- a/.github/workflows/main.yml +++ b/.github/workflows/main.yml @@ -16,7 +16,7 @@ jobs: #- run: echo "🎉 The job was automatically triggered by a ${{ github.event_name }} event." #- run: echo "🐧 This job is now running on a ${{ runner.os }} server hosted by GitHub!" #- run: echo "🔎 The name of your branch is ${{ github.ref }} and your repository is ${{ github.repository }}." - - name: Check out repository code + - name: Check out repository uses: actions/checkout@v3 #- run: echo "💡 The ${{ github.repository }} repository has been cloned to the runner." #- run: echo "🖥️ The workflow is now ready to test your code on the runner." diff --git a/.gitignore b/.gitignore index b658b08..d1d1e4b 100644 --- a/.gitignore +++ b/.gitignore @@ -12,4 +12,4 @@ docs/_build/ .vscode/ # Python virtual environment -.venv/ +.venv/ \ No newline at end of file diff --git a/Tutorials/Basic_domains.ipynb b/Tutorials/1. Geometry/Basic_domains.ipynb similarity index 95% rename from Tutorials/Basic_domains.ipynb rename to Tutorials/1. Geometry/Basic_domains.ipynb index 9963d5e..5f32757 100644 --- a/Tutorials/Basic_domains.ipynb +++ b/Tutorials/1. Geometry/Basic_domains.ipynb @@ -8,7 +8,7 @@ "source": [ "# This is only valid when the package is not installed\n", "import sys\n", - "sys.path.append('/home/hell/Desktop/repos/DeepINN/')" + "sys.path.append('../../') # two folders up" ] }, { diff --git a/Tutorials/1. Geometry/L_plate.stl b/Tutorials/1. Geometry/L_plate.stl new file mode 100644 index 0000000..e39bc4d Binary files /dev/null and b/Tutorials/1. Geometry/L_plate.stl differ diff --git a/Tutorials/1. Geometry/UKAEA SUT.ipynb b/Tutorials/1. Geometry/UKAEA SUT.ipynb new file mode 100644 index 0000000..c67e47f --- /dev/null +++ b/Tutorials/1. Geometry/UKAEA SUT.ipynb @@ -0,0 +1,263 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Using default backend: PyTorch\n", + "Using Pytorch: 2.0.1+cu117\n" + ] + } + ], + "source": [ + "# This is only valid when the package is not installed\n", + "import sys\n", + "sys.path.append('../../') # two folders up\n", + "\n", + "import DeepINN as dp\n", + "from DeepINN.geometry.domains.domain2D.shapely_polygon import ShapelyPolygon # polygon creator\n", + "from DeepINN.geometry.domains.domain3D.trimesh_polyhedron import TrimeshPolyhedron\n", + "import torch" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "X = dp.spaces.R3('x')\n", + "P = TrimeshPolyhedron(X, file_name='/home/hell/Desktop/PhD/PhD work/PINNs/10. June 2022/4. Week 4/SUT/3. Nvidia Modulus/7. Modified Fourier + importance sampling + adaptive activation/stl_files/stl_file.stl', file_type='stl')" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [], + "source": [ + "# Just sample the boundaries\n", + "#P_sampler = dp.samplers.LHSSampler(P, n_points=200) + dp.samplers.RandomUniformSampler(P.boundary, n_points=200)\n", + "#dp.utils.scatter(X, P_sampler)" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "P_sampler = dp.samplers.RandomUniformSampler(P.boundary, n_points=10000, filter_fn=lambda x: abs(x[:,0]-0.2)<=0.9)\n", + "\n", + "dp.utils.scatter(X, P_sampler)" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt\n", + "P_points = P_sampler.sample_points()" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [], + "source": [ + "P_points = P_points.as_tensor.detach().cpu().numpy()" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(-0.1, 1.0)" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure()\n", + "ax = fig.add_subplot(projection='3d')\n", + "ax.scatter(P_points[:,0], P_points[:,1], P_points[:,2])\n", + "ax.set_ylim(-0.1, 1)" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The last point of this tutorial is the possibility to transform a *TrimeshPolyhedron* to a *ShapelyPolygon*, by either projecting or slicing with a plane. This is also a functionality implemented in Trimesh. \n", + "\n", + "This may be useful, if the problem should first be researched in 2D, which most of the time is less expensive. For this, only have to choose how we want to create the 2D-representation. Here we use slicing, the projection works the same:" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "new_space = dp.spaces.R2('x') # the new object is 2D\n", + "p_z = P.slice_with_plane(new_space=new_space, plane_origin=[0, 0, 0], plane_normal=[0, 0, 1])\n", + "\n", + "p_sampler = dp.samplers.RandomUniformSampler(p_z, n_points=100) \\\n", + " + dp.samplers.RandomUniformSampler(p_z.boundary, n_points=1000)\n", + "\n", + "dp.utils.scatter(new_space, p_sampler)" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "new_space = dp.spaces.R2('x') # the new object is 2D\n", + "p_x = P.slice_with_plane(new_space=new_space, plane_origin=[-0.325, 0, 0], plane_normal=[1, 1, 0])\n", + "\n", + "p_sampler = dp.samplers.RandomUniformSampler(p_x, n_points=100) \\\n", + " + dp.samplers.RandomUniformSampler(p_x.boundary, n_points=1000)\n", + "\n", + "dp.utils.scatter(new_space, p_sampler)" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "new_space = dp.spaces.R2('x') # the new object is 2D\n", + "p_x = P.slice_with_plane(new_space=new_space, plane_origin=[-0.25, 0, 0], plane_normal=[1, 1, 0])\n", + "\n", + "p_sampler = dp.samplers.RandomUniformSampler(p_x, n_points=100) \\\n", + " + dp.samplers.RandomUniformSampler(p_x.boundary, n_points=1000)\n", + "\n", + "dp.utils.scatter(new_space, p_sampler)" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "new_space = dp.spaces.R2('x') # the new object is 2D\n", + "p_x = P.slice_with_plane(new_space=new_space, plane_origin=[-0.25, 0.0, 0.05], plane_normal=[0, 1, 1])\n", + "\n", + "p_sampler = dp.samplers.RandomUniformSampler(p_x, n_points=100) \\\n", + " + dp.samplers.RandomUniformSampler(p_x.boundary, n_points=1000)\n", + "\n", + "dp.utils.scatter(new_space, p_sampler)" + ] + } + ], + "metadata": { + "interpreter": { + "hash": "fb770cb910411e790a99fd848f827dc995ac53be5098d939fbaa56bcec3c9277" + }, + "kernelspec": { + "display_name": "Python 3.9.4 64-bit ('bosch': conda)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.8.10" + }, + "orig_nbformat": 4 + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/Tutorials/1. Geometry/different sampling.ipynb b/Tutorials/1. Geometry/different sampling.ipynb new file mode 100644 index 0000000..c6aefcf --- /dev/null +++ b/Tutorials/1. Geometry/different sampling.ipynb @@ -0,0 +1,270 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Using default backend: PyTorch\n", + "Using Pytorch: 2.0.1+cu117\n" + ] + } + ], + "source": [ + "# This is only valid when the package is not installed\n", + "import sys\n", + "sys.path.append('../../') # two folders up\n", + "\n", + "import DeepINN as dp" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "X = dp.spaces.R2('x') # R2 space\n", + "R = dp.domains.Parallelogram(X, [0,0], [1,0], [0,1]) # unit square\n", + "C = dp.domains.Circle(X, [0,0], 1) # unit circle" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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bNuixxx7T888/r5EjR2rXrl2688479cgjj+jBBx+MeEwgEFAgEOi0PT093ZRKv+r80+Tzp4Xz3EhSY9BHnhsLmHUN0T231/OBhuNqbOm5uf1Aw3FbP6fb69lNUrWuW4KGHl69U8e6+HvwSXp49U6NLRxkSheV2fUcy7lsC24GDBigtLQ01dbWttteW1ur3NzciMc8+OCDmjJlim655RZJ0nnnnacjR47o1ltv1f333y+/357JX6EsuZt27deByk1aNu1iMhQDDhHtyvCsIA+vi2WGr9sTo9o2FTwjI0PDhw/XunXrwtuCwaDWrVunoqKiiMc0NDR0CmDS0lpHB9o0dOi7cvh94SZt0v8DzjFiSH/l9WMFeSCVZvjamuemuLhYS5cu1fLly1VZWalZs2bpyJEj4dlTU6dO1bx588L7T5gwQS+88IJWrlypqqoqrV27Vg8++KAmTJgQDnIAoK00v08lEwoksYI8UlsqtWLaOuZm0qRJ+uqrr/TQQw+ppqZGw4YNU2lpaXiQ8RdffNGupeaBBx6Qz+fTAw88oC+//FKnnHKKJkyYoF/+8pd2fQQALjC+ME8v3Hhhpzw3ueS5QQoJtWLWHDwWMbO+T61/E15oxbR9QPHs2bM1e/bsiP+2YcOGdj/36tVLJSUlKikpsaBkiCS0+jkrcMNtWEEeqS7Uijnrpa3ySe0CHK+1Ytoe3MA9yPAKt2MFeaS6ZLdihl6ApdYBzHZNriG4QVRCq593bMoMrX7+wo0XEuAAgAskqxUz9AJcd/ionhghzVi+2ba0KAQ36FFPq5/71Lr6+ZiCXE80ZwKIDd3V7mN2K2bbF+C2S5zY9QJMcIMepVJuBACxobsaTnwBtnUqONwhlXIjAIhe6G2948tP6G29dHu1TSWDlWJ5AbYKwY1JOg6iagnam1TQTKmUGwFAdHp6W5da39a99CxEZE58ASa4MUHp9mqNWrQ+vDjfjOWbNWrResvfWlqChsp2f603Kr5U2e6vTXuokOEVQEdOfFuHPZz4AsyYmwQ5ZRBVMvu9Uyk3AoDoOPFtHfZwYnJAWm4S4JRmWSv6vUO5EXL7tY+8c/tlMg0cSEFOfFuHPZy4xAktNwlwwiwiK0epk+EVQIgT39Zhn7bJAesOHw1vt2uJE4KbBDihWdbqAIsMrwAkuqvRWegFeNOu/TpQuUnLpl1sW4ZiuqUS4IRmWScEWEBIsga1w5norkZHaX5fuLXOzpZ9Wm4SEGqW7a7lJNmziJwQYAESydxSFd3VcCJabhKQ5vfp2gu6f2hfe0FeUv/Ih59+kno6vd/Xuh+QLCRzS22h7urrhg1S0dCTCWxgO4KbBLQEDa366B/d7vOHj/6R1Kb5LZ9/o55OHzRa9wOSwSmzBgEghOAmAZv2fK1vG5q73eebhmZt2vN10srAmBvYjWRuAJyG4CYBZbujC1qi3S8ejLmB3QiwATgNwU1Com1mT15zPEsjwG4E2ACchuAmAUVnDDB1v3g4MTMkUgsBNgCnIbhJwCVDT9aJWend7nNiVrouSXLSO3JNwE4E2ACchjw3CUjz+7Twf5+n217a2uU+C//3eZY81Mk1ATu1Tb3ednCxXanXQ1qCBn8TQAoiuEnQ+MI8LbnxQs3/r0/0zZE2D/XsgOZf+31LH+osjQA7OS3AJqkgYL3QC4XUOpPSruUXCG5M4KT1NAA7OSXADiUV7DiUP5RUkO5awHyhF4q6w0f1xAhpxvLN6t+nty0vFIy5MYlT1tMAUh1JBQHrOS1LOcENAE8hqSBgLSe+UBDcAPAUkgoC1nLiCwVjbgAPYXYQSQUBqznxhYLgxiROGSGO1MXsoFahpII1B49FbCb3qXWKOkkFAXM48YWCbikTlG6v1qhF6zVj+WZJrSPERy1ab/kAKqQupw3msxNJBQFrOTFLOcFNgvhSgd2cOJjPbmTtBqzjxBcKuqUS0NOXik+tXypjCnJ5S0RMYhk7E8tgPifkoLGK05IKAl7WNkt53eGj4e12ZSknuEkAXypIhljHzjhxMJ9ZEh0g7ZSkgkAqcFJCW4KbBHj5SwX2iCezrhMH85mBAdKA+4QS2q6ptDehLWNuEuDVLxXYI96xM04czJcoxrIBSATBTQK8+KUC+8SbCMuJg/kSwQBpAIkiuEmA175UYK9Eujm9NDvIidlOAbgLY24S5LQR4nCvRLs5vTI7iLFsABJFcGMCJ40Qh3uZkVnXC7ODGMsGIFF0SwEOQTdnK8ayAUgUwY0JWH4BZvHS2Jl4EeQBSBTdUglqm5ckkPbd9u7ykgDd8crYmUS0HcvWdnAxY9kAZ3PKItIENwlg+QUkixfGziSKIA9wl1DizbrDR/XEiNZejP59etvyQkK3VAKYsgokVyjIu27YIBUNPZnABnAopyXeJLhJAFNWAQCpzomJNwluEsCUVQBAqnNiLwbBTQKYsgoASHVO7MUguEkAU1YBAKnOib0YBDcJIi8JACCVObEXg6ngJmD5BQBAqgr1Ysx6aatjejFouTFJmt8XjkrJxQEASCVO68Wg5QYAACTMSb0YtNwAAABTOKUXg+AGAAB4CsENAADwFIIbAADgKQQ3AADAU2wPbhYvXqzBgwcrMzNTI0eOVHl5ebf7f/vtt7rjjjuUl5enQCCgs846S2vWrLGotAAAoCstQSO8hlR5VZ2li2W2ZetU8FWrVqm4uFhLlizRyJEj9eyzz2rcuHHauXOncnJyOu3f1NSkMWPGKCcnR6+++qoGDRqkzz//XCeeeKL1hQcAAGGl26u14M0dqjt8VE+MkGYs36z+fXqrZEJBauW5efrppzVz5kxNnz5dkrRkyRKtXr1ay5Yt07333ttp/2XLlqmurk4bN25Uenq6JGnw4MHd/o7GxkY1NjaGf66vr5ckNTc3q7m52aRPovA52/4vkoN6tgb1bA3q2TpOr+uWoKEtn3+jA4cbNaBPQMNPP8k1CWHfqazVnFUVMiQF/K2tNQG/oW8OH9Vdr2zRM5OGafS5AxP6HbFcN59hGLa0GTU1NSkrK0uvvvqqJk6cGN4+bdo0ffvtt3rjjTc6HXP11Verf//+ysrK0htvvKFTTjlFkydP1j333KO0tLSIv2f+/PlasGBBp+0rVqxQVlaWaZ8HAAAkT0NDgyZPnqyDBw8qOzu7231ta7k5cOCAWlpaNHBg+0hu4MCB+vTTTyMes2fPHq1fv1433HCD1qxZo127dun2229Xc3OzSkpKIh4zb948FRcXh3+ur69Xfn6+xo4d22PlxKq5uVlr167VmDFjwi1LMB/1bA3q2RpurGe3tjA4ta7btnq0FapRM1o9kqm8qk4zlm8O/xzwG3rkoqAe/MivxuB398WyaRcntHhmqOclGq5afiEYDConJ0e//e1vlZaWpuHDh+vLL7/Uk08+2WVwEwgEFAgEOm1PT09P2s2dzHPjO9SzNahna7ilnkPjKqoPHgtvy+uXacu4ing5qa5bgoYeXr1Tx1oiB4c+SQ+v3qmxhYMcG0AeaDiuxgjlbwz62m0/0HA8oXqP5VjbZksNGDBAaWlpqq2tbbe9trZWubm5EY/Jy8vTWWed1a4L6txzz1VNTY2ampqSWl4ASHWl26s166Wt7QIbSao5eEyzXtqq0u3VNpXMvcqr6jrVZ1uGpOqDx8IzkJwop29mzzvFsJ8ZbAtuMjIyNHz4cK1bty68LRgMat26dSoqKop4zGWXXaZdu3YpGAyGt3322WfKy8tTRkZG0ssMAKmqJWhowZs7OnWdSApvW/DmDtum/rrV/kNdBzbx7GeHEUP6K69fprpqV/KptXUvkS6pWNma56a4uFhLly7V8uXLVVlZqVmzZunIkSPh2VNTp07VvHnzwvvPmjVLdXV1uvPOO/XZZ59p9erVeuyxx3THHXfY9REAICV4oYXBiZzY6hGrNL9PJRMKJKlTgBP6uWRCgaXdaraOuZk0aZK++uorPfTQQ6qpqdGwYcNUWloaHmT8xRdfyO//Lv7Kz8/XW2+9pTlz5uj888/XoEGDdOedd+qee+6x6yMAQErwQguDE4VaPWoOHovYKuaTlGtxq0c8xhfm6YUbLwznuQnJtWk8lu0DimfPnq3Zs2dH/LcNGzZ02lZUVKRNmzYluVQAgLa80MLgRKFWj1kvbZVPahfg2NXqEa/xhXkaU5CrTbv260DlJi2bdrEuOTPHlrLbvvwCAMD5nDiuwitCrR65/doHhrn9MvXCjRe6Zhaak9jecgMAcD4vtTA4UajVo7yqTvsPHVNO39ZA0U316aTlF2i5AQBEhRaG5Erz+1Q09GRdN2yQioae7LrAxklpAmi5MUnHlVDt6mcE4F6h54iT39y90MIAc/WUJsCn1jQBYwpyLbtPCG5M4KSmuGi54SEKpJJ3Kmv18Oqdrsj8G2phAKTY0gRYdd8Q3CQo1BRnSAq0Wbsz1BTnxKZaL6RPB7xmzqqKTin4nfwciQcvVd7kxDQBBDcJcGJTXE/aBmNtee0hCrhFKKOvm54j8eClyrucmCaAAcUJcFvGTtKnA86z5fNvuv13pz1H4uG0waYwlxPTBBDcJMCJTXHdcVswBqSCA4cbo9rPKc+RWPFS5X1OXH6B4CYBTmyK647bgjEgFQzoE4hqP6c8R2LFS1VqcFqaAMbcJMBta4K4LRgDUsHw00/SW5Wd33hDnPYciRUvVamD5Rc8wolNcd1xYr8okOraPh/c8ByJFS9VqSXN7wt/h9g5G47gJkFOa4rrjtuCMSCVPDNpmCueI7HipQp2oFvKBE5qiutJ22Xp2/aD27UsPYBWo88dqLGFgzyXB4Y1qWAHghuThJri1lTa2xQXDdKnA87k1cy/vFTBagQ3KcqrD1EAzsRLFaxEcAMAsAQvVbAKA4oBAICnxBTc/Pd//7ceffRRPf/88zpw4EC7f6uvr9eMGTNMLRwAAECsog5u3n77bY0YMUIrV67UokWLdM455+jdd98N//vRo0e1fPnypBQSAAAgWlEHN/Pnz9cvfvELbd++XXv37tXcuXN17bXXqrS0NJnlAwAAiEnUA4o/+eQT/f73v5ck+Xw+zZ07V6eddpp+/OMfa+XKlbr44ouTVkgAAIBoRR3cBAIBffvtt+22TZ48WX6/X5MmTdKvfvUrs8sGAAAQs6iDm2HDhundd9/V8OHD223/2c9+JsMwNG3aNNMLBwAAEKuog5tZs2bp/fffj/hv119/vQzD0NKlS00rGAAAQDyiHlD8ox/9SM8880yX/z558uR2s6deeeUVHTlyJLHSAQAAxChpSfx+/vOfq7a2NlmnBwAADtMSNFReVSdJKq+qU0vQ6OGI5EhacGMY9nwgAABgvdLt1Rq1aL1mLN8sSZqxfLNGLVqv0u3VlpeF5RcAAEBCSrdXa9ZLW9ut+i5JNQePadZLWy0PcAhuAABA3FqChha8uUOR+mtC2xa8ucPSLiqCG5M4pZ8RAAArlVfVdWqxacuQVH3wWPg70goENyZwUj8jAABW2n+o68Amnv3MEHNw03a6d0e/+c1vwv//9NNPV3p6enylchGn9TMCAGClnL6Zpu5nhpiDm/Hjx+vuu+9Wc3NzeNuBAwc0YcIE3XvvveFt27dvV35+vjmldCgn9jMCAGClEUP6K69fpnxd/LtPUl6/TI0Y0t+yMsXVcvPaa6/p4osv1o4dO7R69WoVFhaqvr5eFRUVSSiiczmxnxEAACul+X0qmVAgSZ0CnNDPJRMKlObvKvwxX8zBzaWXXqqKigoVFhbqwgsv1I9+9CPNmTNHGzZs0Omnn56MMjqWE/sZnaAlaKhs99d6o+JLle3+mpYrALbgWRRZMuplfGGeXrjxQuX2a9/1lNsvUy/ceKHGF+Yl/DtiEfXaUm199tln+uijj3Taaadp37592rlzpxoaGnTCCSeYXT5Hc2I/o91Kt1drwZs72rVo5fXLVMmEAstvbgCpK9Kz6PSTAio+x8ZCOUAyn9HjC/M0piBXm3bt14HKTVo27WJdcmaOpS02ITG33CxcuFBFRUUaM2aMtm/frvLycm3btk3nn3++ysrKklFGx4qlnzEV3iAYXA3ACbp6FtXWt/78TmVqLg1kxTM6ze8Lj60ZMaS/LYGNFEfLzXPPPafXX39dV111lSSpsLBQ5eXluu+++/SDH/xAjY2NphfSqUL9jLNe2tptP+PaHTWObc0I5efZf+iYcvpmxn0z9jS42qfWwdVjCnJtu9kBeF80Ez0W/uVTjS0clFLPolR7Rscc3Hz88ccaMGBAu23p6el68skn9a//+q+mFcwtQv2MC97cobrDR8Pbc/8neJGkWS9t7XRDhSJlO/oiQ8xsnoxlcHXR0JPjLTIAdKunZ5Ek1dSn3rMo1Z7RMXdLdQxs2rriiisSKoxbjS/M03t3X6l7xp0tSbpn3Nl67+4rNaYg17FTxc1unmRwNQAn4FkUWarVCxmKTVC6vVpXPPmuFr21U5K06K2duuLJd/Xv63c5cqp4MvLzMLgagBPwLIos1eqF4CZB3bWAPPPOZ1Gdw+pIORn5eZyYxAlA6unpWSRJudmp9yxKtWc0wU0ComkBiYbVkXIymiedmMQJQOqJ5ll071XnpNyzKNWe0QQ3CYhm4Fp37IqUk9U86bQkTgBSU1fPooHZrT+PPnegHcWyXSo9o+NK4odWsbRs+NS+NcfOSDnUPFlz8FjEFiafWm/2eIKuUBInM6aXA0C8Ij2L/tdpffVW6V/sLpqtUuUZTXCTgGhbNuaM/p5Wbv57u1aeXBvz3HTMz2N20JXm93liKiEAd+v4LGq74LNXxJOrLBWe0QQ3CYi2BWT2D7+n2T/8nqMi5bb5eZwSdAEAosdyN10juElAtBmKQ0GM0yLlVGmeBACvCc3UdWKCWCdgQHGC3D5AK9Q8ed2wQSoaejKBDQA4XDJylXkNLTcmcNJKqAAAb0u1pRTiQcuNSZyyEioAwNtSbSmFeBDcAADgIqm2lEI8CG4AAHCRVFtKIR4ENwAAuEiqLaUQD4IbAABcxu0zdZPNEcHN4sWLNXjwYGVmZmrkyJEqLy+P6riVK1fK5/Np4sSJyS1gAlqChsp2f603Kr5U2e6vU3pqXiri+gNIlvGFefrgnh/qlZmX6LmfDdMrMy/RB/f8MOUDG8kBU8FXrVql4uJiLVmyRCNHjtSzzz6rcePGaefOncrJyenyuL179+oXv/iFLr/8cgtLGxuyR6Y2rj+AZEuFpRTiYXvLzdNPP62ZM2dq+vTpKigo0JIlS5SVlaVly5Z1eUxLS4tuuOEGLViwQGeccYaFpY1eKHtkx1wEoeyRpdurbSoZrMD1BwD72Npy09TUpC1btmjevHnhbX6/X6NHj1ZZWVmXxz388MPKycnRzTffrL/+9a/d/o7GxkY1NjaGf66vr5fUuoCa2Yuohc7X2NSkx1d/ooy0yF0QPkmPr/5EP/geGYHjEapnpy6C1xI0PHH9nV7PXkE9W4e6tkay6jmW8/kMw7BtEMC+ffs0aNAgbdy4UUVFReHtc+fO1XvvvacPP/yw0zEffPCBfvazn6miokIDBgzQTTfdpG+//Vavv/56xN8xf/58LViwoNP2FStWKCsry7TPAgAAkqehoUGTJ0/WwYMHlZ2d3e2+to+5icWhQ4c0ZcoULV26VAMGDIjqmHnz5qm4uDj8c319vfLz8zV27NgeKydWzc3NWrt2rTTofM197ZMe93/i/ztfV5/H2ItYhep5zJgxSk9Pt7s4naz5uFpz/+//63E/p19/p9ezV1DP1qGurZGseg71vETD1uBmwIABSktLU21tbbvttbW1ys3N7bT/7t27tXfvXk2YMCG8LRgMSpJ69eqlnTt3aujQoe2OCQQCCgQCnc6Vnp6etJt7QHaWGlt67m7I6XcCf2AJSOY1TEROvxM8df2dWs9eQz1bh7q2htn1HMu5bB1QnJGRoeHDh2vdunXhbcFgUOvWrWvXTRVyzjnn6OOPP1ZFRUX4v2uvvVZXXnmlKioqlJ+fb2XxuzT89JPIHpnCyB4KAPayfbZUcXGxli5dquXLl6uyslKzZs3SkSNHNH36dEnS1KlTwwOOMzMzVVhY2O6/E088UX379lVhYaEyMjLs/ChhZI9MbVx/ALCX7cHNpEmT9NRTT+mhhx7SsGHDVFFRodLSUg0cOFCS9MUXX6i62n3TZskemdq4/gBgH0cMKJ49e7Zmz54d8d82bNjQ7bEvvvii+QUyyfjCPI0pyFV5VZ32HzqmnL6tXRG8sTtHS9BI2vXh+gOwQjKfY27liODGy8ge6VxWZBDm+gNIJjKhR2Z7txRgBzIIA3A7nmNdI7hBymkJGlrw5g5Fyl4Z2rbgzR0scgnAsXiOdY/gBimnvKqu05tOW4ak6oPHVF5VZ12hACAGPMe6R3CDlLP/UNcPhHj2AwCr8RzrHsGNSUKj1aXWiDpVmwLdIKdvZs87xbAfAFiN51j3CG5MULq9WqMWrdeM5ZslSTOWb9aoRetTejCXk5FBGIDb8RzrHsFNghit7j5kEAbgdjzHukdwkwBGq7sXGYQBuB3Psa6RxC8BsYxWJ5Gb85BBGIDb8RyLjOAmAYxWdz8yCANwO55jndEtlQBGqwMA4DwENwlgtDoAAM5DcJMARqsDAOA8BDcJYrQ6AADOwoBiE4RGq2/atV8HKjdp2bSLdcmZOSnbYhPK1szIfQCAHQhuTJLm92nEkP5aU6mU/jIv3V6tBW/uaDdFPq9fpkomFNCKBQCwBN1SMA3ZmgEATkBwA1OQrRkA4BQENzBFLNmaAQBIJoIbmIJszQAApyC4gSnI1gwAcAqCG5iCbM0AAKcguIEpyNYMAHAKghuTNB0P6vdleyVJvy/bq6bjQXsLZAOyNQMAnIAkfiZ4fM0OLf1rldL9hp4YIS16a6ce/ctnmnn5EM27usDu4lkqlK2ZDMUAALsQ3CTo8TU79Jv3qzptDxoKb0+1ACfN71PR0JPtLgYAIEXRLZWApuNBLf1r58CmraV/rUrJLioA8KKWoKGy3V/rjYovVbb7axKTOhQtNwn4fdle9XRfB43W/W6+/AxrCgUASArWznMPWm4S8Hldg6n7AQCcibXz3IXgJgGn988ydT8AgPOwdp77ENwkYErRYPU0Ccjva90PAOBOrJ3nPgQ3Ccjo5dfMy4d0u8/My4cooxfVjK4xQBFwNtbOcx8GFCcoNM2746wpv08pmecGsWGAIuB8rJ3nPgQ3Jph3dYH+z9hz9NLG3dI3O3TPuLN146VDabFBt0IDFDu204QGKJLVGXCG0Np5NQePRRx341NrJnbWznMOvn1NktHLHx5bM6VoMIENusUAxe7RVQcnYe0896HlBrBBLAMUUy3bM111cKLQ2nkd781c7k1HIrgBbMAAxcjoqoOTsXaeexDcADZggGJnPXXV+dTaVTemIJcvE9iGtfPcgYEhgA1CAxS7+or2qbUrJpUGKJJLBIBZCG4cigGV3sYAxc7oqgNgFrqlTNISNMJvlOVVdbrkzJy4v5gYUGmN0DWzq++cAYrt0VUHwCwENyYIBSN1h4/qiRHSjOWb1b9P77i+oBhQaQ2nBJAMUPwOuUQAmIVuqQSZuVIsuU+s4bTVfUMDFK8bNkhFQ09OycBGoqsOgHkIbhJgdjDCgMrkI4B0tlBXXW6/9l1Puf0yabWEIzE+0pnolkqA2YnYGFCZfCTPcz666uAWTuneRmcENwkwOxhhQGXyEUC6A7lE4HSMj3Q2uqUSYHYwQu6T5COABJAouredj+AmAWYHIwyoTD4CSACJYnyk8xHcJCAZwQgDKpOLABJAoujedj7G3CSobSK2usNHw9sTScTGgMrkInkegETQve18BDcmCAUjm3bt14HKTVo27eKEMhRLDKhMNgJIAPEi4aTz0S1lkjS/L3wj8yXpDiTPAxAPuredj+AGAIAYMT7S2eiWAgAgDnRvOxfBDQAAcWJ8pDM5oltq8eLFGjx4sDIzMzVy5EiVl5d3ue/SpUt1+eWX66STTtJJJ52k0aNHd7s/AABILbYHN6tWrVJxcbFKSkq0detWXXDBBRo3bpz2798fcf8NGzbo+uuv17vvvquysjLl5+dr7Nix+vLLLy0uOQAAcCLbg5unn35aM2fO1PTp01VQUKAlS5YoKytLy5Yti7j/yy+/rNtvv13Dhg3TOeeco9/97ncKBoNat26dxSW3BivOAgAQG1vH3DQ1NWnLli2aN29eeJvf79fo0aNVVlYW1TkaGhrU3Nys/v0j5xNobGxUY2Nj+Of6+npJUnNzs5qbmxMofWeh85l13ncqa7XwL5+qpr5NornsTN171Tkafe5AU36HG5ldz4iMerYG9Wwd6toayarnWM7nMwzDtqaAffv2adCgQdq4caOKiorC2+fOnav33ntPH374YY/nuP322/XWW2/pk08+UWZm52yQ8+fP14IFCzptX7FihbKyshL7AAAAwBINDQ2aPHmyDh48qOzs7G73dfVsqYULF2rlypXasGFDxMBGkubNm6fi4uLwz/X19eFxOj1VTqyam5u1du1ajRkzRunp6XGfpyVoaNyz77drsWnLJ2lgdqbeuuufU3LKoVn1jO5Rz9agnq1DXVsjWfUc6nmJhq3BzYABA5SWlqba2tp222tra5Wbm9vtsU899ZQWLlyod955R+eff36X+wUCAQUCgU7b09PTk3ZzJ3ruj3Z/rc+/aVTn3Jff+fybRm37x6GUnoKYzGuI71DP1qCerUNdW8Pseo7lXLYOKM7IyNDw4cPbDQYODQ5u203V0RNPPKFHHnlEpaWluuiii6woqqVYcRYAgPjZ3i1VXFysadOm6aKLLtKIESP07LPP6siRI5o+fbokaerUqRo0aJAef/xxSdKiRYv00EMPacWKFRo8eLBqamokSX369FGfPn1s+xxmYsVZAIDTtAQN12Rjtj24mTRpkr766is99NBDqqmp0bBhw1RaWqqBA1tnA33xxRfy+79rYHrhhRfU1NSkH//4x+3OU1JSovnz51tZ9KRhxVkAXuamL0m0Kt1erQVv7lD1we96DPL6ZapkQoEj19GyPbiRpNmzZ2v27NkR/23Dhg3tft67d2/yC2Sz0Iqzs17aKp/ULsBhxVkAbua2L0m0XrNZL23t9LJdc/CYZr201ZELhdqexA+RseIsAK8JfUm2DWyk774kS7dX21QydKUlaGjBmzsi9iKEti14c4fjEsw6ouUGkbHiLACv6OlL0qfWL8kxBbk84xykvKquUzDaliGp+uAxlVfVOWr2LsGNw7HiLAAvcOuXZKpz6+xduqUAAEnn1i/JVOfW2bsENwCApHPrl2SqC83e7aqj0KfWAeFOm71LcAMASDq3fkmmutDsXalzznwnz94luAEAJJ1bvyQR2+zdUA4jqXWclV2zqBhQDACwROhLsmOem1zy3DheNLN3QzmM6g4f1RMjpBnLN6t/n962XFuCGwCAZUhx4V7dzd5tm+gvkPbddrsS/RHcAAAsRYoLb3FiDiPG3AAAgLjFksPIKgQ3AAAgbk7MYURwAwAA4ubEHEYENwAAIG5OzGFEcGMSp8ztBwDASk7MYURwY4LS7dUatWi9ZizfLKl1bv+oRetVur3a5pKlnpagobLdX+uNii9VtvtrgkwAsEAsif6swFTwBDltbn8qCyWQajtqP4/kYABgiVAOo0279utA5SYtm3axLjkzx5YcRrTcJKCnuf1S69x+Wg+SLxRkdpyOGAoyaUUDgORL8/vCY2vsTM5IcJMAJ87tT0UEmQCAtghuEuDEuf2piCAzNoxLAuB1jLlJgBPn9qcigszoMS4JQCqg5SYBTpzbn4oIMqPDuCQAqYLgJgFOnNufiggye8a4JACphOAmQU6b25+KCDJ7xrgkAKmEMTcmcNLc/lQVCjI7jifJZTyJJMYlAUgtBDcmCc3tX1Np79z+VBYKMsur6rT/0DHl9M3kWvwPxiUBSCUEN/CUNL9PRUNPtrsYjhMal1Rz8FjEcTc+tbZypfK4JDcLrW1HUA+0IrgBUkBoXNKsl7bKJ7ULcBiX5G5M7wc6Y0AxkCIY/O49TO8HIqPlBkghjEvyjp6m9/vUOr1/TEEu1xcph+AGSDGMS/KGWKb3c72RauiWMkloQJ/U+tAhGRqAZGJ6P9A1ghsTlG6v1qhF6zVj+WZJ0ozlmzVq0Xr6uwEkDdP7ga4R3CSIAX2AeVixPHosOwJ0jTE3CWBAH2AepjTHhun9QNdouUkA6/UA5qAFND5M7wcio+UmAQzoAxJHC2himN4PdEZwkwAG9AGJY0pz4pjeD7RHt1QCGNAHJI4WUABmI7hJQGhAn6ROAQ4D+oDo0AIKwGwENwliQB+QGFpAAZiNMTcmCA3o27Rrvw5UbtKyaRfrkjNzaLEBosCUZgBmo+XGJGl+X/jNkpkKQGxoAQVgJlpuADgCU5oBmIXgBoBjMKUZgBnolgIAAJ5CcAMAADyFbikAiEJL0GA8EOASBDcA0ANWLAfchW4pAOgGK5YD7kNwAwBd6GnFcql1xfKWYKQ9ANiF4AYAuhDLiuUAnIPgBgC6wIrlgDsR3ABAF1ixHHAnghsA6AIrlgPuxFRwD0iF/BttP+OALPNu21Sou2SJp+66O8asa2HmNWXF8ujEUudO/5uzonxNx4P6fdlefV7XoNP7Z2lK0WBl9PJb9vtTgSOCm8WLF+vJJ59UTU2NLrjgAv3617/WiBEjutz/j3/8ox588EHt3btX3/ve97Ro0SJdffXVFpbYOVIh/0bHzxhIM/TECOmdylpddf5ppp1X8l7dJUs8ddfdMZJMuRbJuKahFcs7njeXe0VSbHXu9L85K8r3+JodWvrXKrWdYPfLNZWaefkQ/a9/OsnR9eMmtndLrVq1SsXFxSopKdHWrVt1wQUXaNy4cdq/f3/E/Tdu3Kjrr79eN998s7Zt26aJEydq4sSJ2r59u8Ult18q5N/o6jNK0pxVFXF/xlSou2SJp+66O+a2l7bqNhOuRTKv6fjCPH1wzw/1ysxL9NzPhumVmZfog3t+mPJfOLHUudP/5qwo3+Nrdug377cPbCQpaEi/eb/KlL8DtLI9uHn66ac1c+ZMTZ8+XQUFBVqyZImysrK0bNmyiPs/99xzGj9+vO6++26de+65euSRR3ThhRfq3//93y0uub1SIf9Gd58xJJ7PmAp1lyzx1F00x0QSy7Ww4pqGViy/btggFQ09OeW7CmKpc6f/zVlRvqbjQS39a1XMxzmhftzI1m6ppqYmbdmyRfPmzQtv8/v9Gj16tMrKyiIeU1ZWpuLi4nbbxo0bp9dffz3i/o2NjWpsbAz/XF9fL0lqbm5Wc3Nzgp+gvdD5zD5vJOVVdao7fFSBtK73qTt8VJt27XftYMeuPmPA3/oHnuE34vqMqVB3Zoh0P8dTd9Ec051oroWbr6mVzw0zxVLnof9v9/Xpqq6tuH9eKturdH/8wYlT799IknVPx3I+n2EYtoWC+/bt06BBg7Rx40YVFRWFt8+dO1fvvfeePvzww07HZGRkaPny5br++uvD255//nktWLBAtbW1nfafP3++FixY0Gn7ihUrlJWVZdInAQAAydTQ0KDJkyfr4MGDys7O7nZfRwwoTqZ58+a1a+mpr69Xfn6+xo4d22PlxKq5uVlr167VmDFjlJ6ebuq5OyqvqtOM5Zt73G/ZtItdEelH0tVnDPgNPXJRUA9+5Fdj0BfzZ0yFujNDpPs5nrqL9phozxeJm6+plc8NM8VS55IccX26qmsr7p/fl+3Vord2xnWsGb/fSsm6p0M9L9GwNbgZMGCA0tLSOrW41NbWKjc3N+Ixubm5Me0fCAQUCAQ6bU9PT0/agySZ5w655Mwc9e/TWzUHj0XsJ/apdTbHJWfmuHZsQE+fsSnoU/8+vWP+jKlQd2Zqez/HU3c9HdOdaK+FF66pFc8NM8VS55IcdX061rUV98+Nlw7Vo3/5rNNg4mi44f6NxOx7OpZz2TqgOCMjQ8OHD9e6devC24LBoNatW9eum6qtoqKidvtL0tq1a7vc36tC+TckdUow5pX8G919xpB4PmMq1F2yxFN30RwTy/nMKhcSE0udO/36WFG+jF5+zbx8SI/7ObF+3Mj22VLFxcVaunSpli9frsrKSs2aNUtHjhzR9OnTJUlTp05tN+D4zjvvVGlpqX71q1/p008/1fz58/XRRx9p9uzZdn0E24Tyb+T2a5/6Pbdfpl648UJPTFPt6jNK0jOThiWcu8TLdZcs8dRdd8csufFCLTHhWnBNrRdLnTv9+lhRvnlXF+jn/zxEHWMUv0/6+T8PMeXvAK1sH3MzadIkffXVV3rooYdUU1OjYcOGqbS0VAMHDpQkffHFF/L7v4vBLr30Uq1YsUIPPPCA7rvvPn3ve9/T66+/rsLCQrs+gq3GF+ZpTEGupzNadvyMA7J66UDlJo0+d6Cp5/Vi3SVLPHXX0zFmXAuuqfViqXOnXx8ryjfv6gL9n7HndJmh2Mn14ya2BzeSNHv27C5bXjZs2NBp209+8hP95Cc/SXKp3COUf8PL2n7G5uZmrak0/7yITTx1190xZl0Lrqn1Yqlzp18fK8qX0cuvmy8/w7bfnwps75YCAAAwE8ENAADwFIIbAADgKQQ3AADAUwhuAACApxDcAAAATyG4AQAAnkJwAwAAPIXgBgAAeIojMhRbyTBal2SNZen0aDU3N6uhoUH19fWuWt3Xbahna1DP1qCerUNdWyNZ9Rz63g59j3cn5YKbQ4cOSZLy8/NtLgkAAIjVoUOH1K9fv2738RnRhEAeEgwGtW/fPvXt21c+n7mLkdXX1ys/P19///vflZ2dbeq58R3q2RrUszWoZ+tQ19ZIVj0bhqFDhw7p1FNPbbegdiQp13Lj9/t12mmnJfV3ZGdn84djAerZGtSzNahn61DX1khGPffUYhPCgGIAAOApBDcAAMBTCG5MFAgEVFJSokAgYHdRPI16tgb1bA3q2TrUtTWcUM8pN6AYAAB4Gy03AADAUwhuAACApxDcAAAATyG4AQAAnkJwE6PFixdr8ODByszM1MiRI1VeXt7t/n/84x91zjnnKDMzU+edd57WrFljUUndLZZ6Xrp0qS6//HKddNJJOumkkzR69OgerwtaxXo/h6xcuVI+n08TJ05MbgE9ItZ6/vbbb3XHHXcoLy9PgUBAZ511Fs+OKMRaz88++6zOPvts9e7dW/n5+ZozZ46OHTtmUWnd6f3339eECRN06qmnyufz6fXXX+/xmA0bNujCCy9UIBDQmWeeqRdffDHp5ZSBqK1cudLIyMgwli1bZnzyySfGzJkzjRNPPNGora2NuP/f/vY3Iy0tzXjiiSeMHTt2GA888ICRnp5ufPzxxxaX3F1irefJkycbixcvNrZt22ZUVlYaN910k9GvXz/jH//4h8Uld5dY6zmkqqrKGDRokHH55Zcb1113nTWFdbFY67mxsdG46KKLjKuvvtr44IMPjKqqKmPDhg1GRUWFxSV3l1jr+eWXXzYCgYDx8ssvG1VVVcZbb71l5OXlGXPmzLG45O6yZs0a4/777zf+9Kc/GZKM1157rdv99+zZY2RlZRnFxcXGjh07jF//+tdGWlqaUVpamtRyEtzEYMSIEcYdd9wR/rmlpcU49dRTjccffzzi/j/96U+Na665pt22kSNHGj//+c+TWk63i7WeOzp+/LjRt29fY/ny5ckqoifEU8/Hjx83Lr30UuN3v/udMW3aNIKbKMRazy+88IJxxhlnGE1NTVYV0RNirec77rjD+OEPf9huW3FxsXHZZZcltZxeEk1wM3fuXOP73/9+u22TJk0yxo0bl8SSGQbdUlFqamrSli1bNHr06PA2v9+v0aNHq6ysLOIxZWVl7faXpHHjxnW5P+Kr544aGhrU3Nys/v37J6uYrhdvPT/88MPKycnRzTffbEUxXS+eev6v//ovFRUV6Y477tDAgQNVWFioxx57TC0tLVYV23XiqedLL71UW7ZsCXdd7dmzR2vWrNHVV19tSZlThV3fgym3cGa8Dhw4oJaWFg0cOLDd9oEDB+rTTz+NeExNTU3E/WtqapJWTreLp547uueee3Tqqad2+oPCd+Kp5w8++ED/8R//oYqKCgtK6A3x1POePXu0fv163XDDDVqzZo127dql22+/Xc3NzSopKbGi2K4TTz1PnjxZBw4c0KhRo2QYho4fP67bbrtN9913nxVFThldfQ/W19fr6NGj6t27d1J+Ly038JSFCxdq5cqVeu2115SZmWl3cTzj0KFDmjJlipYuXaoBAwbYXRxPCwaDysnJ0W9/+1sNHz5ckyZN0v33368lS5bYXTRP2bBhgx577DE9//zz2rp1q/70pz9p9erVeuSRR+wuGkxAy02UBgwYoLS0NNXW1rbbXltbq9zc3IjH5ObmxrQ/4qvnkKeeekoLFy7UO++8o/PPPz+ZxXS9WOt59+7d2rt3ryZMmBDeFgwGJUm9evXSzp07NXTo0OQW2oXiuZ/z8vKUnp6utLS08LZzzz1XNTU1ampqUkZGRlLL7Ebx1PODDz6oKVOm6JZbbpEknXfeeTpy5IhuvfVW3X///fL7efc3Q1ffg9nZ2UlrtZFouYlaRkaGhg8frnXr1oW3BYNBrVu3TkVFRRGPKSoqare/JK1du7bL/RFfPUvSE088oUceeUSlpaW66KKLrCiqq8Vaz+ecc44+/vhjVVRUhP+79tprdeWVV6qiokL5+flWFt814rmfL7vsMu3atSscPErSZ599pry8PAKbLsRTzw0NDZ0CmFBAabDkomls+x5M6nBlj1m5cqURCASMF1980dixY4dx6623GieeeKJRU1NjGIZhTJkyxbj33nvD+//tb38zevXqZTz11FNGZWWlUVJSwlTwKMRazwsXLjQyMjKMV1991aiurg7/d+jQIbs+givEWs8dMVsqOrHW8xdffGH07dvXmD17trFz507jz3/+s5GTk2M8+uijdn0EV4i1nktKSoy+ffsar7zyirFnzx7j7bffNoYOHWr89Kc/tesjuMKhQ4eMbdu2Gdu2bTMkGU8//bSxbds24/PPPzcMwzDuvfdeY8qUKeH9Q1PB7777bqOystJYvHgxU8Gd6Ne//rXxT//0T0ZGRoYxYsQIY9OmTeF/u+KKK4xp06a12/8Pf/iDcdZZZxkZGRnG97//fWP16tUWl9idYqnn008/3ZDU6b+SkhLrC+4ysd7PbRHcRC/Wet64caMxcuRIIxAIGGeccYbxy1/+0jh+/LjFpXafWOq5ubnZmD9/vjF06FAjMzPTyM/PN26//Xbjm2++sb7gLvLuu+9GfN6G6nbatGnGFVdc0emYYcOGGRkZGcYZZ5xh/Od//mfSy+kzDNrfAACAdzDmBgAAeArBDQAA8BSCGwAA4CkENwAAwFMIbgAAgKcQ3AAAAE8huAEAAJ5CcAMAADyF4AYAAHgKwQ0AT6uurtbkyZN11llnye/366677rK7SACSjOAGgKc1NjbqlFNO0QMPPKALLrjA7uIAsADBDQDH++qrr5Sbm6vHHnssvG3jxo3KyMjQunXruj128ODBeu655zR16lT169cv2UUF4AC97C4AAPTklFNO0bJlyzRx4kSNHTtWZ599tqZMmaLZs2frX/7lX+wuHgCHIbgB4ApXX321Zs6cqRtuuEEXXXSRTjjhBD3++ON2FwuAA9EtBcA1nnrqKR0/flx//OMf9fLLLysQCNhdJAAORHADwDV2796tffv2KRgMau/evXYXB4BD0S0FwBWampp04403atKkSTr77LN1yy236OOPP1ZOTo7dRQPgMAQ3AFzh/vvv18GDB/Vv//Zv6tOnj9asWaMZM2boz3/+c4/HVlRUSJIOHz6sr776ShUVFcrIyFBBQUGSSw3ADj7DMAy7CwEA3dmwYYPGjBmjd999V6NGjZIk7d27VxdccIEWLlyoWbNmdXu8z+frtO3000+nawvwKIIbAADgKQwoBgAAnkJwA8DVvv/976tPnz4R/3v55ZftLh4AG9AtBcDVPv/8czU3N0f8t4EDB6pv374WlwiA3QhuAACAp9AtBQAAPIXgBgAAeArBDQAA8BSCGwAA4CkENwAAwFMIbgAAgKcQ3AAAAE/5/wGCfBlk+ASuzAAAAABJRU5ErkJggg==", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "random_R = dp.samplers.RandomUniformSampler(R, n_points=50) + dp.samplers.RandomUniformSampler(R.boundary, n_points=50) # 50 random points\n", + "grid_C = dp.samplers.GridSampler(C, density=10) + dp.samplers.GridSampler(C.boundary, density=10) # grid points with density 10\n", + "\n", + "dp.utils.scatter(X, random_R)\n", + "dp.utils.scatter(X, grid_C)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/home/hell/Desktop/repos/DeepINN/Tutorials/1. Geometry/../../DeepINN/geometry/domains/domainoperations/sampler_helper.py:50: UserWarning: Will sample random points in the created domain operation, with\n", + " a for loop over all input parameters, in total: 1\n", + " This may slow down the training.\n", + " warnings.warn(f\"\"\"Will sample random points in the created domain operation, with\n", + "/home/hell/Desktop/repos/DeepINN/Tutorials/1. Geometry/../../DeepINN/geometry/domains/domainoperations/sampler_helper.py:163: UserWarning: Will sample random points in the created domain operation, with\n", + " a for loop over all input parameters, in total: 1\n", + " This may slow down the training.\n", + " warnings.warn(f\"\"\"Will sample random points in the created domain operation, with\n", + "/home/hell/Desktop/repos/DeepINN/Tutorials/1. Geometry/../../DeepINN/geometry/domains/domainoperations/cut.py:107: UserWarning: Exact volume of this domain boundary is not known, \n", + " will use the estimate: \n", + " volume = domain_a.volume + domain_b.volume.\n", + " If you need the exact volume for sampling,\n", + " use domain.set_volume().\n", + " warnings.warn(\"\"\"Exact volume of this domain boundary is not known,\n" + ] + }, + { + "data": { + "image/png": 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", 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "X = dp.spaces.R2('x') # R2 space\n", + "R = dp.domains.Parallelogram(X, [-0.5,-0.5], [0.5,-0.5], [-0.5,0.5]) # unit square\n", + "C = dp.domains.Circle(X, [0,0], 0.25) # unit circle\n", + "\n", + "intersect = R - C\n", + "random_R = dp.samplers.RandomUniformSampler(R, n_points=500) + dp.samplers.RandomUniformSampler(R.boundary, n_points=100) # 50 random points\n", + "grid_C = dp.samplers.GridSampler(C, n_points=100) + dp.samplers.GridSampler(C.boundary, n_points=100) # grid points with density 10\n", + "\n", + "random_intersect = dp.samplers.LHSSampler(intersect, n_points=500) + dp.samplers.RandomUniformSampler(intersect.boundary, n_points=500) \n", + "\n", + "dp.utils.scatter(X, random_R)\n", + "dp.utils.scatter(X, grid_C)\n", + "dp.utils.scatter(X, random_intersect)" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "X = dp.spaces.R2('x') # R2 space\n", + "R = dp.domains.Parallelogram(X, [-0.5,-0.5], [0.5,-0.5], [-0.5,0.5]) # unit square\n", + "C = dp.domains.Circle(X, [0,0], 0.25) # unit circle\n", + "\n", + "\n", + "right_boundary = dp.samplers.RandomUniformSampler(R.boundary, n_points=100, filter_fn=lambda x: x[:,0]==0.5)\n", + "left_boundary = dp.samplers.RandomUniformSampler(R.boundary, n_points=100, filter_fn=lambda x: x[:,0]==-0.5)\n", + "\n", + "grid_C = dp.samplers.GridSampler(C.boundary, n_points=100)\n", + "\n", + "boundary = right_boundary + left_boundary + grid_C\n", + "dp.utils.scatter(X, boundary)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [], + "source": [ + "import torch" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "X = dp.spaces.R2('x') # R2 space\n", + "R = dp.domains.Parallelogram(X, [-0.5,-0.5], [0.5,-0.5], [-0.5,0.5]) # unit square\n", + "C = dp.domains.Circle(X, [0,0], 0.25) # unit circle\n", + "\n", + "\n", + "right_boundary = dp.samplers.RandomUniformSampler(R.boundary, n_points=100, filter_fn=lambda x: x[:,0]==0.5)\n", + "left_boundary = dp.samplers.RandomUniformSampler(R.boundary, n_points=100, filter_fn=lambda x: x[:,0]==-0.5)\n", + "\n", + "grid_C = dp.samplers.GridSampler(C.boundary, n_points=100, filter_fn=lambda x: (torch.sign(x[:,0])*x[:,0]**2 + x[:,1]**2)==0.25**(2))\n", + "\n", + "boundary = right_boundary + left_boundary + grid_C\n", + "dp.utils.scatter(X, boundary)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "X = dp.spaces.R2('x') # R2 space\n", + "R = dp.domains.Parallelogram(X, [-0.5,-0.5], [0.5,-0.5], [-0.5,0.5]) # unit square\n", + "C = dp.domains.Circle(X, [0,0], 0.25) # unit circle\n", + "\n", + "\n", + "right_boundary = dp.samplers.RandomUniformSampler(R.boundary, n_points=100, filter_fn=lambda x: x[:,0]==0.5)\n", + "left_boundary = dp.samplers.RandomUniformSampler(R.boundary, n_points=100, filter_fn=lambda x: x[:,0]==-0.5)\n", + "\n", + "grid_C = dp.samplers.GridSampler(C.boundary, n_points=100, filter_fn=lambda x: (torch.sign(x[:,0])*x[:,0]**2 + torch.sign(x[:,1])*x[:,1]**2)==0.25**(2))\n", + "\n", + "boundary = right_boundary + left_boundary + grid_C\n", + "dp.utils.scatter(X, boundary)\n" + ] + } + ], + "metadata": { + "interpreter": { + "hash": "fb770cb910411e790a99fd848f827dc995ac53be5098d939fbaa56bcec3c9277" + }, + "kernelspec": { + "display_name": "Python 3.9.4 64-bit ('bosch': conda)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.8.10" + }, + "orig_nbformat": 4 + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/Tutorials/domain_creation.ipynb b/Tutorials/1. Geometry/domain_creation.ipynb similarity index 90% rename from Tutorials/domain_creation.ipynb rename to Tutorials/1. Geometry/domain_creation.ipynb index c509631..b57800b 100644 --- a/Tutorials/domain_creation.ipynb +++ b/Tutorials/1. Geometry/domain_creation.ipynb @@ -51,7 +51,7 @@ "source": [ "# This is only valid when the package is not installed\n", "import sys\n", - "sys.path.append('/home/hell/Desktop/repos/DeepINN/')\n", + "sys.path.append('../../') # two folders up\n", "\n", "import DeepINN as dp" ] @@ -131,7 +131,7 @@ "text": [ "/home/hell/Desktop/repos/DeepINN/.venv/lib/python3.8/site-packages/torch/functional.py:504: UserWarning: torch.meshgrid: in an upcoming release, it will be required to pass the indexing argument. (Triggered internally at ../aten/src/ATen/native/TensorShape.cpp:3483.)\n", " return _VF.meshgrid(tensors, **kwargs) # type: ignore[attr-defined]\n", - "/home/hell/Desktop/repos/DeepINN/DeepINN/geometry/domains/domain2D/parallelogram.py:134: UserWarning: The use of `x.T` on tensors of dimension other than 2 to reverse their shape is deprecated and it will throw an error in a future release. Consider `x.mT` to transpose batches of matrices or `x.permute(*torch.arange(x.ndim - 1, -1, -1))` to reverse the dimensions of a tensor. (Triggered internally at ../aten/src/ATen/native/TensorShape.cpp:3571.)\n", + "/home/hell/Desktop/repos/DeepINN/Tutorials/1. Geometry/../../DeepINN/geometry/domains/domain2D/parallelogram.py:134: UserWarning: The use of `x.T` on tensors of dimension other than 2 to reverse their shape is deprecated and it will throw an error in a future release. Consider `x.mT` to transpose batches of matrices or `x.permute(*torch.arange(x.ndim - 1, -1, -1))` to reverse the dimensions of a tensor. (Triggered internally at ../aten/src/ATen/native/TensorShape.cpp:3571.)\n", " bary_coords = torch.stack(torch.meshgrid((x, y))).T.reshape(-1, 2)\n" ] }, @@ -221,24 +221,24 @@ "name": "stderr", "output_type": "stream", "text": [ - "/home/hell/Desktop/repos/DeepINN/DeepINN/geometry/domains/domainoperations/union.py:30: UserWarning: Exact volume of this union is not known, will use the\n", + "/home/hell/Desktop/repos/DeepINN/Tutorials/1. Geometry/../../DeepINN/geometry/domains/domainoperations/union.py:30: UserWarning: Exact volume of this union is not known, will use the\n", " estimate: volume = domain_a.volume + domain_b.volume.\n", " If you need the exact volume for sampling,\n", " use domain.set_volume()\n", " warnings.warn(\"\"\"Exact volume of this union is not known, will use the\n", - "/home/hell/Desktop/repos/DeepINN/DeepINN/geometry/domains/domainoperations/sampler_helper.py:50: UserWarning: Will sample random points in the created domain operation, with\n", + "/home/hell/Desktop/repos/DeepINN/Tutorials/1. Geometry/../../DeepINN/geometry/domains/domainoperations/sampler_helper.py:163: UserWarning: Will sample random points in the created domain operation, with\n", " a for loop over all input parameters, in total: 1\n", " This may slow down the training.\n", " warnings.warn(f\"\"\"Will sample random points in the created domain operation, with\n", - "/home/hell/Desktop/repos/DeepINN/DeepINN/geometry/domains/domainoperations/sampler_helper.py:163: UserWarning: Will sample random points in the created domain operation, with\n", - " a for loop over all input parameters, in total: 1\n", - " This may slow down the training.\n", - " warnings.warn(f\"\"\"Will sample random points in the created domain operation, with\n", - "/home/hell/Desktop/repos/DeepINN/DeepINN/geometry/domains/domainoperations/intersection.py:107: UserWarning: Exact volume of this intersection-boundary is not known,\n", + "/home/hell/Desktop/repos/DeepINN/Tutorials/1. Geometry/../../DeepINN/geometry/domains/domainoperations/intersection.py:107: UserWarning: Exact volume of this intersection-boundary is not known,\n", " will use the estimate: volume = boundary_a + bounadry_b.\n", " If you need the exact volume for sampling,\n", " use domain.set_volume()\n", - " warnings.warn(\"\"\"Exact volume of this intersection-boundary is not known,\n" + " warnings.warn(\"\"\"Exact volume of this intersection-boundary is not known,\n", + "/home/hell/Desktop/repos/DeepINN/Tutorials/1. Geometry/../../DeepINN/geometry/domains/domainoperations/sampler_helper.py:50: UserWarning: Will sample random points in the created domain operation, with\n", + " a for loop over all input parameters, in total: 1\n", + " This may slow down the training.\n", + " warnings.warn(f\"\"\"Will sample random points in the created domain operation, with\n" ] }, { @@ -253,7 +253,7 @@ }, { "data": { - "image/png": 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", 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", 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", 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", 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" ] diff --git a/Tutorials/1. Geometry/polygons_external_objects.ipynb b/Tutorials/1. Geometry/polygons_external_objects.ipynb new file mode 100644 index 0000000..167a63a --- /dev/null +++ b/Tutorials/1. Geometry/polygons_external_objects.ipynb @@ -0,0 +1,302 @@ +{ + "cells": [ + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Polygons and External Objects\n", + "=============================\n", + "Thanks to a soft dependency on Shapely and Trimesh polygons and polyhedrons can be\n", + "created. For this, two additional domains exist: *ShapelyPolygon* and *TrimeshPolyhedron*. \n", + "They combine the properties of the previously explained domains with the feature of the packages. \n", + "This means you can:\n", + "\n", + "- Call the boundary with **.boundary**\n", + "- Compute volume, bounding boxes and normal vectors\n", + "- Create points inside and on the boundary\n", + "- Use the operations *+*, *-* and *&* to create complex domains\n", + "\n", + "But what is **not** possible, is the creation of variable/changing polygons. \n", + "The vertices have to stay always the same.\n", + "\n", + "Polygons\n", + "--------\n", + "If you have the package Shapely installed, you can find the class *ShapelyPolygon* under:\n" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Using default backend: PyTorch\n", + "Using Pytorch: 2.0.1+cu117\n" + ] + } + ], + "source": [ + "# This is only valid when the package is not installed\n", + "import sys\n", + "sys.path.append('../../') # two folders up\n", + "\n", + "import DeepINN as dp\n", + "from DeepINN.geometry.domains.domain2D.shapely_polygon import ShapelyPolygon # polygon creator" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This class can be constructed through two different ways, either you create your own \n", + "shapely-polygon yourself, or you pass all vertices of the polygon to the constructor:" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "X = dp.spaces.R2('x')\n", + "P = ShapelyPolygon(X, vertices=[[0, 0], [1, 0], [1, 2], [0, 1]])" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Like mentioned before, all properties of the pre implemented domains work also for these domains. Therefore, we can have a look at the polygon we created. Again we need \n", + "the *PointSamplers* which are part of the next tutorial. " + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/home/hell/Desktop/repos/DeepINN/.venv/lib/python3.8/site-packages/torch/functional.py:504: UserWarning: torch.meshgrid: in an upcoming release, it will be required to pass the indexing argument. (Triggered internally at ../aten/src/ATen/native/TensorShape.cpp:3483.)\n", + " return _VF.meshgrid(tensors, **kwargs) # type: ignore[attr-defined]\n", + "/home/hell/Desktop/repos/DeepINN/Tutorials/1. Geometry/../../DeepINN/geometry/domains/domain2D/parallelogram.py:134: UserWarning: The use of `x.T` on tensors of dimension other than 2 to reverse their shape is deprecated and it will throw an error in a future release. Consider `x.mT` to transpose batches of matrices or `x.permute(*torch.arange(x.ndim - 1, -1, -1))` to reverse the dimensions of a tensor. (Triggered internally at ../aten/src/ATen/native/TensorShape.cpp:3571.)\n", + " bary_coords = torch.stack(torch.meshgrid((x, y))).T.reshape(-1, 2)\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "P_sampler = dp.samplers.GridSampler(P, n_points=100) + dp.samplers.GridSampler(P.boundary, n_points=100)\n", + "\n", + "dp.utils.scatter(X, P_sampler)" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "If you have the package Trimesh installed, you can find the class *TrimeshPolyhedron* under:" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "from DeepINN.geometry.domains.domain3D.trimesh_polyhedron import TrimeshPolyhedron" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "For this class, there are also two different ways to create a polyhedron. The first one is to define the vertices and say which vertices create a side of the object. For example, a simplex is created with:" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "X = dp.spaces.R3('x')\n", + "vertices = [[0, 0, 0], [1, 0, 0], [0, 1, 0], [0, 0, 1], [0.5, 0.5, -1]]\n", + "faces = [[0, 1, 3], [0, 2, 3], [1, 2, 3], [0, 2, 4], [0, 1, 4], [1, 2, 4]]\n", + "P = TrimeshPolyhedron(X, vertices=vertices, faces=faces)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "P_sampler = dp.samplers.GridSampler(P.boundary, n_points=100) # only show the boundary\n", + "\n", + "dp.utils.scatter(X, P_sampler)" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "External Objects\n", + "----------------\n", + "The other way is to import an externally created 3D-Object, on which a PDE should be \n", + "trained. This is already implemented in Trimesh and supports STL, ASCII, OBJ and many \n", + "more. \n", + "\n", + "To do this one has to only specify the path to the object and the type of the file,\n", + "in the constructor of the *TrimeshPolyhedron*:" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "X = dp.spaces.R3('x')\n", + "P = TrimeshPolyhedron(X, file_name='L_plate.stl', file_type='stl')" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Where we now have used an L-shaped domain, again all previously mentioned methods are useable:" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "P_sampler = dp.samplers.GridSampler(P, density=0.2)\n", + "\n", + "dp.utils.scatter(X, P_sampler)" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The last point of this tutorial is the possibility to transform a *TrimeshPolyhedron* to a *ShapelyPolygon*, by either projecting or slicing with a plane. This is also a functionality implemented in Trimesh. \n", + "\n", + "This may be useful, if the problem should first be researched in 2D, which most of the time is less expensive. For this, only have to choose how we want to create the 2D-representation. Here we use slicing, the projection works the same:" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "new_space = dp.spaces.R2('x') # the new object is 2D\n", + "p = P.slice_with_plane(new_space=new_space, plane_origin=[0, 0, 0], plane_normal=[0, 0, 1])" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The created object *p* is a *ShapelyPolygon*, that can be used like before:" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "p_sampler = dp.samplers.RandomUniformSampler(p, n_points=100) \\\n", + " + dp.samplers.RandomUniformSampler(p.boundary, n_points=100)\n", + "\n", + "dp.utils.scatter(new_space, p_sampler)" + ] + } + ], + "metadata": { + "interpreter": { + "hash": "fb770cb910411e790a99fd848f827dc995ac53be5098d939fbaa56bcec3c9277" + }, + "kernelspec": { + "display_name": "Python 3.9.4 64-bit ('bosch': conda)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.8.10" + }, + "orig_nbformat": 4 + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/docker/Dockerfile b/docker/Dockerfile new file mode 100644 index 0000000..3631318 --- /dev/null +++ b/docker/Dockerfile @@ -0,0 +1,14 @@ +FROM pytorch/pytorch:latest +LABEL description="DeepINN with PyTorch and GPU support" + +COPY requirements.txt /root +COPY ../DeepINN /root/ +WORKDIR /root +RUN /usr/bin/python -m pip install --upgrade pip +RUN pip3 install -r requirements.txt +RUN apt-get update && apt-get install -y --no-install-recommends imagemagick \ + && apt-get clean \ + && rm -rf /var/lib/apt/lists/* +EXPOSE 8888/tcp +ENV SHELL /bin/bash +ENTRYPOINT ["jupyter", "notebook", "--ip", "0.0.0.0", "--no-browser", "--allow-root"] \ No newline at end of file diff --git a/docker/requirements.txt b/docker/requirements.txt new file mode 100644 index 0000000..77e4a8f --- /dev/null +++ b/docker/requirements.txt @@ -0,0 +1,12 @@ +ipython +jupyter +jupyterlab +notebook +matplotlib +numpy +scikit-learn +scikit-optimize +scipy +shapely +trimesh +rtree \ No newline at end of file diff --git a/requirements.txt b/requirements.txt index ce719b2..a27804a 100644 --- a/requirements.txt +++ b/requirements.txt @@ -4,4 +4,6 @@ numpy scikit-learn scikit-optimize scipy -shapely \ No newline at end of file +shapely +trimesh +rtree \ No newline at end of file diff --git a/requirements_working.txt b/requirements_working.txt new file mode 100644 index 0000000..f5e6f0f --- /dev/null +++ b/requirements_working.txt @@ -0,0 +1,73 @@ +asttokens==2.2.1 +backcall==0.2.0 +cmake==3.26.4 +comm==0.1.3 +contourpy==1.1.0 +cycler==0.11.0 +debugpy==1.6.7 +decorator==5.1.1 +executing==1.2.0 +filelock==3.12.2 +fonttools==4.40.0 +importlib-metadata==6.7.0 +importlib-resources==5.12.0 +ipykernel==6.23.2 +ipython==8.12.2 +jedi==0.18.2 +Jinja2==3.1.2 +joblib==1.2.0 +jupyter_client==8.2.0 +jupyter_core==5.3.1 +kiwisolver==1.4.4 +lit==16.0.6 +MarkupSafe==2.1.3 +matplotlib==3.7.1 +matplotlib-inline==0.1.6 +mpmath==1.3.0 +nest-asyncio==1.5.6 +networkx==3.1 +numpy==1.24.3 +nvidia-cublas-cu11==11.10.3.66 +nvidia-cuda-cupti-cu11==11.7.101 +nvidia-cuda-nvrtc-cu11==11.7.99 +nvidia-cuda-runtime-cu11==11.7.99 +nvidia-cudnn-cu11==8.5.0.96 +nvidia-cufft-cu11==10.9.0.58 +nvidia-curand-cu11==10.2.10.91 +nvidia-cusolver-cu11==11.4.0.1 +nvidia-cusparse-cu11==11.7.4.91 +nvidia-nccl-cu11==2.14.3 +nvidia-nvtx-cu11==11.7.91 +packaging==23.1 +parso==0.8.3 +pexpect==4.8.0 +pickleshare==0.7.5 +Pillow==9.5.0 +platformdirs==3.6.0 +prompt-toolkit==3.0.38 +psutil==5.9.5 +ptyprocess==0.7.0 +pure-eval==0.2.2 +pyaml==23.5.9 +Pygments==2.15.1 +pyparsing==3.1.0 +python-dateutil==2.8.2 +PyYAML==6.0 +pyzmq==25.1.0 +Rtree==1.0.1 +scikit-learn==1.2.2 +scikit-optimize==0.9.0 +scipy==1.10.1 +shapely==2.0.1 +six==1.16.0 +stack-data==0.6.2 +sympy==1.12 +threadpoolctl==3.1.0 +torch==2.0.1 +tornado==6.3.2 +traitlets==5.9.0 +trimesh==3.22.1 +triton==2.0.0 +typing_extensions==4.6.3 +wcwidth==0.2.6 +zipp==3.15.0 diff --git a/test.py b/test.py index 1863e7b..c45fa20 100644 --- a/test.py +++ b/test.py @@ -3,9 +3,9 @@ #print(dp.__version__) -print('dp keys ',dp.__dict__.keys()) +#print('dp keys ',dp.__dict__.keys()) print(dp.__dict__["__about__"]) #print() -print(dp.config.Config) \ No newline at end of file +#print(dp.config.Config) \ No newline at end of file diff --git a/test_independent.py b/test_independent.py deleted file mode 100644 index dab405c..0000000 --- a/test_independent.py +++ /dev/null @@ -1,16 +0,0 @@ -# import torch -# a = torch -# if 'api' in torch.__dict__.keys(): -# print('true') -# else: -# print('false') - -# print(a.__dict__.keys()) - -# import sys -# thismod = sys.modules[__name__] -# print(thismod) - -import deepxde as dde -print(dde.backend.__dict__.keys()) -#print(dde.) \ No newline at end of file