From 86d236fb26f696d4805836b0e99bfd93b074aec7 Mon Sep 17 00:00:00 2001 From: Alan Jonathan Sordo Velasco Date: Fri, 15 May 2026 03:48:09 -0600 Subject: [PATCH] Added PINN vs FEM structural dynamics example --- .gitignore | 3 +- .../PINN_vs_FEM_example/PINN_vs_FEM.ipynb | 484 ++++++++++++++++++ EXAMPLES/PINN_vs_FEM_example/README.md | 26 + 3 files changed, 512 insertions(+), 1 deletion(-) create mode 100644 EXAMPLES/PINN_vs_FEM_example/PINN_vs_FEM.ipynb create mode 100644 EXAMPLES/PINN_vs_FEM_example/README.md diff --git a/.gitignore b/.gitignore index bffe02fff..6c66ede9b 100644 --- a/.gitignore +++ b/.gitignore @@ -90,4 +90,5 @@ forumat.for build bin __pycache__ -*.dat \ No newline at end of file +*.dat +.DS_Store \ No newline at end of file diff --git a/EXAMPLES/PINN_vs_FEM_example/PINN_vs_FEM.ipynb b/EXAMPLES/PINN_vs_FEM_example/PINN_vs_FEM.ipynb new file mode 100644 index 000000000..4e708df37 --- /dev/null +++ b/EXAMPLES/PINN_vs_FEM_example/PINN_vs_FEM.ipynb @@ -0,0 +1,484 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "code", + "source": [ + "!pip install openseespy -q" + ], + "metadata": { + "id": "dltySUp_8Hgd" + }, + "execution_count": 1, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import torch\n", + "import torch.nn as nn\n", + "import openseespy.opensees as ops" + ], + "metadata": { + "id": "So8XcHY88KRc" + }, + "execution_count": 2, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "m = 1.0\n", + "k = 100.0\n", + "zeta = 0.05\n", + "\n", + "omega_n = np.sqrt(k / m)\n", + "c = 2 * zeta * m * omega_n\n", + "\n", + "F0 = 10.0\n", + "omega = 0.8 * omega_n\n", + "\n", + "t_max = 10.0\n", + "dt = 0.01\n", + "\n", + "time = np.arange(0, t_max + dt, dt)" + ], + "metadata": { + "id": "ZV7Z_Q6g8PQw" + }, + "execution_count": 3, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "ops.wipe()\n", + "\n", + "ops.model(\"basic\", \"-ndm\", 1, \"-ndf\", 1)\n", + "\n", + "ops.node(1, 0.0)\n", + "ops.node(2, 0.0)\n", + "\n", + "ops.fix(1, 1)\n", + "\n", + "ops.mass(2, m)\n", + "\n", + "ops.uniaxialMaterial(\"Elastic\", 1, k)\n", + "ops.element(\"zeroLength\", 1, 1, 2, \"-mat\", 1, \"-dir\", 1)\n", + "\n", + "ops.rayleigh(0.0, 0.0, 0.0, c / k)\n", + "\n", + "ops.timeSeries(\"Trig\", 1, 0.0, t_max, 1.0 / (2 * np.pi / omega), \"-factor\", F0)\n", + "ops.pattern(\"Plain\", 1, 1)\n", + "ops.load(2, 1.0)\n", + "\n", + "ops.constraints(\"Plain\")\n", + "ops.numberer(\"Plain\")\n", + "ops.system(\"BandGeneral\")\n", + "ops.test(\"NormDispIncr\", 1.0e-10, 10)\n", + "ops.algorithm(\"Newton\")\n", + "ops.integrator(\"Newmark\", 0.5, 0.25)\n", + "ops.analysis(\"Transient\")" + ], + "metadata": { + "id": "ZCv5d5c68SvU" + }, + "execution_count": 4, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "u_fem = []\n", + "v_fem = []\n", + "a_fem = []\n", + "t_fem = []\n", + "\n", + "for t in time:\n", + " ok = ops.analyze(1, dt)\n", + "\n", + " if ok != 0:\n", + " print(\"Error en el análisis en t =\", t)\n", + " break\n", + "\n", + " t_fem.append(ops.getTime())\n", + " u_fem.append(ops.nodeDisp(2, 1))\n", + " v_fem.append(ops.nodeVel(2, 1))\n", + " a_fem.append(ops.nodeAccel(2, 1))\n", + "\n", + "t_fem = np.array(t_fem)\n", + "u_fem = np.array(u_fem)\n", + "v_fem = np.array(v_fem)\n", + "a_fem = np.array(a_fem)" + ], + "metadata": { + "id": "-g5FGdWc8WBW" + }, + "execution_count": 5, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "plt.figure(figsize=(9, 5))\n", + "plt.plot(t_fem, u_fem, label=\"FEM OpenSeesPy\")\n", + "plt.xlabel(\"Tiempo [s]\")\n", + "plt.ylabel(\"Desplazamiento u(t) [m]\")\n", + "plt.title(\"Respuesta dinámica SDOF - OpenSeesPy\")\n", + "plt.grid(True)\n", + "plt.legend()\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 488 + }, + "id": "wfEljOmM8aDv", + "outputId": "1e1de448-beb7-4497-eac9-13d15883a4fb" + }, + "execution_count": 6, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "class PINN(nn.Module):\n", + " def __init__(self):\n", + " super().__init__()\n", + "\n", + " self.net = nn.Sequential(\n", + " nn.Linear(1, 64),\n", + " nn.Tanh(),\n", + " nn.Linear(64, 64),\n", + " nn.Tanh(),\n", + " nn.Linear(64, 64),\n", + " nn.Tanh(),\n", + " nn.Linear(64, 1)\n", + " )\n", + "\n", + " def forward(self, t):\n", + " return self.net(t)" + ], + "metadata": { + "id": "ej7AXqft8erV" + }, + "execution_count": 7, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "device = torch.device(\"cuda\" if torch.cuda.is_available() else \"cpu\")\n", + "\n", + "t_col = torch.linspace(0, t_max, 1000).view(-1, 1).to(device)\n", + "t_col.requires_grad_(True)\n", + "\n", + "t0 = torch.tensor([[0.0]], device=device, requires_grad=True)\n", + "\n", + "model = PINN().to(device)\n", + "\n", + "optimizer = torch.optim.Adam(model.parameters(), lr=1e-3)" + ], + "metadata": { + "id": "y2zcp6is8if3" + }, + "execution_count": 8, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "$R(t) = m\\ddot{u}_{\\theta}(t) + c\\dot{u}_{\\theta}(t) + ku_{\\theta}(t) - F_0 \\sin(\\omega t)$" + ], + "metadata": { + "id": "bvVaB9bj8xtK" + } + }, + { + "cell_type": "markdown", + "source": [ + "$\\mathbf{L} = \\mathbf{L}_{physics} + \\mathbf{L}_{IC} + \\mathbf{L}_{data}$" + ], + "metadata": { + "id": "rjjnOvqP817T" + } + }, + { + "cell_type": "code", + "source": [ + "def pinn_loss(model, t_col, t0):\n", + " u = model(t_col)\n", + "\n", + " du_dt = torch.autograd.grad(\n", + " u,\n", + " t_col,\n", + " grad_outputs=torch.ones_like(u),\n", + " create_graph=True\n", + " )[0]\n", + "\n", + " d2u_dt2 = torch.autograd.grad(\n", + " du_dt,\n", + " t_col,\n", + " grad_outputs=torch.ones_like(du_dt),\n", + " create_graph=True\n", + " )[0]\n", + "\n", + " force = F0 * torch.sin(omega * t_col)\n", + "\n", + " residual = m * d2u_dt2 + c * du_dt + k * u - force\n", + "\n", + " loss_physics = torch.mean(residual**2)\n", + "\n", + " u0 = model(t0)\n", + "\n", + " du0_dt = torch.autograd.grad(\n", + " u0,\n", + " t0,\n", + " grad_outputs=torch.ones_like(u0),\n", + " create_graph=True\n", + " )[0]\n", + "\n", + " loss_ic = torch.mean(u0**2) + torch.mean(du0_dt**2)\n", + "\n", + " return loss_physics, loss_ic" + ], + "metadata": { + "id": "noTQVKrb8lyC" + }, + "execution_count": 9, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "epochs = 8000\n", + "loss_history = []\n", + "\n", + "for epoch in range(epochs):\n", + " optimizer.zero_grad()\n", + "\n", + " loss_physics, loss_ic = pinn_loss(model, t_col, t0)\n", + "\n", + " loss = loss_physics + 100 * loss_ic\n", + "\n", + " loss.backward()\n", + " optimizer.step()\n", + "\n", + " loss_history.append(loss.item())\n", + "\n", + " if epoch % 500 == 0:\n", + " print(\n", + " \"Epoch:\",\n", + " epoch,\n", + " \"Loss:\",\n", + " loss.item(),\n", + " \"Physics:\",\n", + " loss_physics.item(),\n", + " \"IC:\",\n", + " loss_ic.item()\n", + " )" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "rsuznJuP9Y30", + "outputId": "603acfcb-5735-4321-9924-612801d256d7" + }, + "execution_count": 10, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Epoch: 0 Loss: 862.97509765625 Physics: 858.1810302734375 IC: 0.04794042557477951\n", + "Epoch: 500 Loss: 49.62686538696289 Physics: 49.5234489440918 IC: 0.0010341661982238293\n", + "Epoch: 1000 Loss: 49.59855270385742 Physics: 49.501617431640625 IC: 0.0009693357860669494\n", + "Epoch: 1500 Loss: 49.55248260498047 Physics: 49.4536018371582 IC: 0.0009888261556625366\n", + "Epoch: 2000 Loss: 49.44749450683594 Physics: 49.33006286621094 IC: 0.0011743141803890467\n", + "Epoch: 2500 Loss: 49.18293762207031 Physics: 48.956764221191406 IC: 0.002261749003082514\n", + "Epoch: 3000 Loss: 49.017818450927734 Physics: 48.634124755859375 IC: 0.003836924210190773\n", + "Epoch: 3500 Loss: 48.96041488647461 Physics: 48.54758071899414 IC: 0.004128344357013702\n", + "Epoch: 4000 Loss: 48.87094497680664 Physics: 48.485347747802734 IC: 0.003855970688164234\n", + "Epoch: 4500 Loss: 48.693233489990234 Physics: 48.38656997680664 IC: 0.0030666461680084467\n", + "Epoch: 5000 Loss: 48.50526428222656 Physics: 48.244754791259766 IC: 0.0026050894521176815\n", + "Epoch: 5500 Loss: 48.661834716796875 Physics: 48.3668212890625 IC: 0.0029501228127628565\n", + "Epoch: 6000 Loss: 47.93342208862305 Physics: 47.625457763671875 IC: 0.0030796353239566088\n", + "Epoch: 6500 Loss: 48.134883880615234 Physics: 47.85591125488281 IC: 0.002789735095575452\n", + "Epoch: 7000 Loss: 47.75145721435547 Physics: 47.504451751708984 IC: 0.002470043720677495\n", + "Epoch: 7500 Loss: 47.59246826171875 Physics: 47.39169692993164 IC: 0.0020077198278158903\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "t_eval = torch.tensor(t_fem.reshape(-1, 1), dtype=torch.float32).to(device)\n", + "\n", + "with torch.no_grad():\n", + " u_pinn = model(t_eval).cpu().numpy().flatten()" + ], + "metadata": { + "id": "Gd-UdWIt9eEl" + }, + "execution_count": 11, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "plt.figure(figsize=(9, 5))\n", + "plt.plot(t_fem, u_fem, label=\"FEM OpenSeesPy\", linewidth=2)\n", + "plt.plot(t_fem, u_pinn, \"--\", label=\"PINN PyTorch\", linewidth=2)\n", + "plt.xlabel(\"Tiempo [s]\")\n", + "plt.ylabel(\"Desplazamiento u(t) [m]\")\n", + "plt.title(\"Comparación de respuesta temporal: FEM vs PINN\")\n", + "plt.grid(True)\n", + "plt.legend()\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 488 + }, + "id": "_VDsyB-E9hjM", + "outputId": "7dcce36d-265e-4ffc-f22e-101f30d54fdc" + }, + "execution_count": 12, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "error_abs = np.abs(u_fem - u_pinn)\n", + "\n", + "plt.figure(figsize=(9, 5))\n", + "plt.plot(t_fem, error_abs)\n", + "plt.xlabel(\"Tiempo [s]\")\n", + "plt.ylabel(\"Error absoluto\")\n", + "plt.title(\"Error absoluto entre FEM y PINN\")\n", + "plt.grid(True)\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 487 + }, + "id": "QEbnJCU39k26", + "outputId": "c0c37a5e-e451-46e9-bb68-237d5bd4b107" + }, + "execution_count": 13, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "plt.figure(figsize=(9, 5))\n", + "plt.semilogy(loss_history)\n", + "plt.xlabel(\"Época\")\n", + "plt.ylabel(\"Loss\")\n", + "plt.title(\"Convergencia del entrenamiento PINN\")\n", + "plt.grid(True)\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 489 + }, + "id": "yAeRYBq_9nJ7", + "outputId": "2e460f3f-1690-464e-badc-934d069fa732" + }, + "execution_count": 14, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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5f+ihhzR58mQ999xzGjBgwDHtH7ALwgBgUxdeeKEmTpyob775Rl27di1z3ZSUFPl8Pq1Zs0annnpqYPm2bduUnZ2tlJSUCtUwcOBAPfHEE/rggw+UlJSknJwcXX311YH769Wrp5o1a8rr9apPnz4V2oe/tl9//bXYfUWXNW/eXLNnz1a3bt2OKVQU3ebRhq7du3drzpw5euKJJ/Too48Glvs/8T6SlJQUrVy5UsaYkAC3evXqYrVJBeGwou0brFmzZpIKpsasjO35lTeE+vmPKzExsdLq+OCDDxQdHa3PPvtMbrc7sHzSpEmVsv2yVMV5WVqb+n9fVq9eHXg+JSkvL0/r1q2r1Oe1PB5++GG99dZbeu6558q1fvPmzXXdddfppZdeCnTBAlA2xgwANnXvvfcqLi5ON910U8g3g/qtXbs2cGn+ggsukCSNHj06ZJ1Ro0ZJkvr371+hGk499VS1bdtW7777rt59913Vr19fZ511VuB+l8ulyy+/XB988EGJb6iDp6AsTYMGDdSmTRu9+eab2rdvX2D5/PnzA1M9+l111VXyer166qmnim0nPz+/QlMrXn755Vq+fLmmT59e7L7SPqn1f7Jb9P6i7V+aCy64QFu2bAmZ9vLAgQPFulp17NhRzZs317/+9a+QtvErT/sGS0xMVK9evfTSSy+V2M/7aLfnFxcXd1Rt37dvX8XHx+sf//iHPB5PpdThcrnkcDhCphtdv369Pvroo6Pe1tGqivPS/10MRR/bp08fRUVF6cUXXww5/1599VXt2bOnwr/rFRX85n7r1q3leszDDz8sj8ej559/voqrA04MXBkAbKp58+Z6++23NXDgQJ166qkh30D89ddfa9q0aYFvfG3fvr0GDx6siRMnKjs7Wz179tSiRYv0xhtvaMCAATr77LMrXMfAgQP16KOPKjo6WjfeeGOxfsUjR47U3Llz1aVLFw0bNkxpaWnatWuXfvjhB82ePVu7du064j7+8Y9/6JJLLlG3bt10ww03aPfu3Ro7dqzatGkT8ia4Z8+e+utf/6pnn31Wy5Yt03nnnafIyEitWbNG06ZN0wsvvBAyKLc87rnnHr3//vu68sorNXToUHXs2FG7du3SjBkzNGHCBLVv377YY+Lj43XWWWfp+eefl8fjUcOGDfX555+Xa452qWCw59ixYzVo0CAtWbJE9evX1+TJk4t986vT6dQrr7yi888/X61bt9YNN9yghg0bavPmzZo7d67i4+P1f//3f0d1vJmZmerevbvatm2rYcOGqVmzZtq2bZu++eYbbdq0ScuXLz+q7UkFoWX8+PF6+umn1aJFCyUmJpY6HkAqaL/x48fr+uuv1+mnn66rr75a9erV0++//65PPvlE3bp109ixY4+qhv79+2vUqFHq16+f/vKXv2j79u3KzMxUixYt9OOPPx71MR2NqjgvO3ToIJfLpeeee0579uyR2+3WOeeco8TERD3wwAN64okn1K9fP1188cVavXq1xo0bp/T0dF133XVVdJSl83f9Wb16tVq3bn3E9f0BoqTvMQFQAmsmMQIQLn755RczbNgwk5qaaqKiokzNmjVNt27dzJgxY0Kmh/R4POaJJ54wTZs2NZGRkaZx48bmgQceCFnHmNCp/oL17NmzxOkh16xZYyQZSWbBggUl1rht2zaTkZFhGjdubCIjI01ycrLp3bu3mThxYmCdI00jOHXqVNOqVSvjdrtNmzZtzIwZM8zll19uWrVqVWzdiRMnmo4dO5qYmBhTs2ZN07ZtW3PvvfcGpiw82uPcuXOnGT58uGnYsKGJiooyjRo1MoMHDw5Ml1rS1KKbNm0yl156qalVq5ZJSEgwV155pdmyZYuRZB577LESjzHYhg0bzMUXX2xiY2NN3bp1zYgRIwJTURadTnLp0qXmsssuM3Xq1DFut9ukpKSYq666ysyZMyewTnmnFjWmYB77QYMGmeTkZBMZGWkaNmxoLrzwQvP+++8X217R+ej9z2NwjVu3bjX9+/c3NWvWNJIC7VvaNoK31bdvX5OQkGCio6NN8+bNzZAhQ8z3338fWGfw4MEmLi6u2GP9c+0He/XVV83JJ59s3G63adWqlZk0aVKJ60kyGRkZIcv8z/E///nPEo83+Lwt6XsGjKn88/Lll182zZo1My6Xq1ibjx071rRq1cpERkaapKQk87e//c3s3r272HaLOtJzUtZxl/VY/xSwZU0tGmzNmjWB42JqUaBsDmOqcUQRAISRDh06qF69epo1a5bVpQAAYAnGDAA44Xk8HuXn54csmzdvnpYvX65evXpZUxQAAGGAKwMATnjr169Xnz59dN1116lBgwb6+eefNWHCBCUkJGjlypWqU6eO1SUCAGAJBhADOOHVrl1bHTt21CuvvKI///xTcXFx6t+/v0aOHEkQAADYGlcGAAAAAJtizAAAAABgU4QBAAAAwKZsPWbA5/Npy5Ytqlmz5lF/3T0AAAAQrowx2rt3rxo0aFDsCz2D2ToMbNmyRY0bN7a6DAAAAKBKbNy4UY0aNSr1fluHgZo1a0oqaKT4+Phq37/H49Hnn38e+Gp5lB9td2xov4qj7SqOtqs42u7Y0H4VR9tVnNVtl5OTo8aNGwfe75bG1mHA3zUoPj7esjAQGxur+Ph4fsGOEm13bGi/iqPtKo62qzja7tjQfhVH21VcuLTdkbrCM4AYAAAAsCnCAAAAAGBThAEAAADApggDAAAAgE0RBgAAAACbIgwAAAAANkUYAAAAAGyKMAAAAADYFGEAAAAAsClbhoHMzEylpaUpPT3d6lIAAAAAy9gyDGRkZCgrK0uLFy+2uhQAAADAMrYMAwAAAAAIAwAAAIBtEQYscjDPqwvHfq2Ry1065PFaXQ4AAABsKMLqAuzKZ4xWb9snySFjrK4GAAAAdsSVAQAAAMCmCAMAAACATREGAAAAAJsiDIQBIwYNAAAAoPoRBizicFhdAQAAAOyOMAAAAADYFGEAAAAAsCnCAAAAAGBTtgwDmZmZSktLU3p6utWlAAAAAJaxZRjIyMhQVlaWFi9ebHUpksQ3EAMAAMAStgwD4cAhphMCAACAtQgDAAAAgE0RBgAAAACbIgwAAAAANkUYCAOMHwYAAIAVCAMWcTB+GAAAABYjDAAAAAA2RRgAAAAAbIowAAAAANgUYQAAAACwKcJAGDBMJwQAAAALEAYAAAAAmyIMAAAAADZFGAAAAABsypZhIDMzU2lpaUpPT7e6FAAAAMAytgwDGRkZysrK0uLFi60uBQAAALCMLcNAOHA4gm8xnRAAAACqH2EAAAAAsCnCAAAAAGBThAEAAADApggDAAAAgE0RBizi0OERxIbxwwAAALAAYQAAAACwKcIAAAAAYFOEAQAAAMCmCAMAAACATREGAAAAAJsiDFjEcXgyITGZEAAAAKxAGAAAAABsijAAAAAA2BRhAAAAALApwgAAAABgU4QBiwSNH5ZhBDEAAAAsYMswkJmZqbS0NKWnp1tdCgAAAGAZW4aBjIwMZWVlafHixVaXAgAAAFjGlmEAAAAAAGEAAAAAsC3CAAAAAGBThAGLOByH5xMyYjohAAAAVD/CAAAAAGBThAEAAADApggDAAAAgE0RBgAAAACbIgxYxHHkVQAAAIAqRRgIA4bJhAAAAGABwgAAAABgU4QBAAAAwKYIAwAAAIBNEQYAAAAAmyIMWMQRNJ0Q44cBAABgBcIAAAAAYFOEAQAAAMCmCAMAAACATREGAAAAAJsiDFjEETyCGAAAALCALcNAZmam0tLSlJ6ebnUpBQzzCQEAAKD62TIMZGRkKCsrS4sXL7a6FAAAAMAytgwDAAAAAAgDAAAAgG0RBgAAAACbIgyEAYYPAwAAwAqEAQAAAMCmCAMAAACATREGAAAAAJsiDAAAAAA2RRiwkMNhdQUAAACwM8JAGDBMJwQAAAALEAYAAAAAmyIMAAAAADZFGAAAAABsijBgIcYPAwAAwEqEgTDA+GEAAABYgTAAAAAA2BRhAAAAALApwgAAAABgU4QBAAAAwKYIAxZyOJhPCAAAANYhDIQBY5hPCAAAANWPMAAAAADYFGEAAAAAsCnCAAAAAGBThAELMXwYAAAAVrJlGMjMzFRaWprS09OtLgUAAACwjC3DQEZGhrKysrR48WKrS5EkMZcQAAAArGDLMAAAAACAMAAAAADYFmEAAAAAsCnCgIUcTCcEAAAACxEGwoBhBDEAAAAsQBgAAAAAbIowAAAAANgUYQAAAACwKcIAAAAAYFOEAQAAAMCmCAMAAACATREGAAAAAJsiDAAAAAA2RRgAAAAAbIowYCGPt+Crhw/meS2uBAAAAHZEGAgDmfN+s7oEAAAA2BBhIAz8vHWv1SUAAADAhggDAAAAgE0RBgAAAACbIgwAAAAANkUYAAAAAGyKMAAAAADYFGEgDBgZq0sAAACADREGAAAAAJsiDAAAAAA2RRgAAAAAbIowAAAAANgUYQAAAACwKcJAGDBMJgQAAAALEAYAAAAAmyIMAAAAADZFGAAAAABsijAAAAAA2JQtw0BmZqbS0tKUnp5udSmSJMYPAwAAwAq2DAMZGRnKysrS4sWLrS4FAAAAsIwtw0C4cVhdAAAAAGyJMBAG6CYEAAAAKxAGAAAAAJsiDAAAAAA2RRgIA4Z+QgAAALAAYQAAAACwKcJAGHAwnRAAAAAsQBgAAAAAbIowEAYYMwAAAAArEAYAAAAAmyIMAAAAADZFGAAAAABsijAAAAAA2BRhAAAAALApwkBYYDohAAAAVD/CAAAAAGBThAEAAADApggDAAAAgE0RBgAAAACbIgwAAAAANkUYCAOGyYQAAABgAcIAAAAAYFOEAQAAAMCmCAMAAACATREGAAAAAJsiDAAAAAA2RRgIA0wmBAAAACsQBsKAw+oCAAAAYEuEgTDAlQEAAABYgTAAAAAA2BRhIAzQTQgAAABWIAyEAboJAQAAwAqEgTBgSAMAAACwAGEAAAAAsKkKhYGNGzdq06ZNgduLFi3S7bffrokTJ1ZaYQAAAACqVoXCwF/+8hfNnTtXkrR161ade+65WrRokR566CE9+eSTlVogAAAAgKpRoTCwcuVKde7cWZL03nvvqU2bNvr66681ZcoUvf7665VZHwAAAIAqUqEw4PF45Ha7JUmzZ8/WxRdfLElq1aqV/vjjj8qrziYM8wkBAADAAhUKA61bt9aECRP01VdfadasWerXr58kacuWLapTp06lFmgHDr5pAAAAABaoUBh47rnn9NJLL6lXr1665ppr1L59e0nSjBkzAt2HUH5cGQAAAIAVIiryoF69emnHjh3KyclR7dq1A8tvvvlmxcbGVlpxAAAAAKpOha4MHDx4ULm5uYEgsGHDBo0ePVqrV69WYmJipRZoB3QTAgAAgBUqFAYuueQSvfnmm5Kk7OxsdenSRf/+9781YMAAjR8/vlILtAO6CQEAAMAKFQoDP/zwg3r06CFJev/995WUlKQNGzbozTff1IsvvlipBdqBIQsAAADAAhUKAwcOHFDNmjUlSZ9//rkuu+wyOZ1OnXHGGdqwYUOlFmgHDnoJAQAAwAIVCgMtWrTQRx99pI0bN+qzzz7TeeedJ0navn274uPjK7VAO+DKAAAAAKxQoTDw6KOP6u6771Zqaqo6d+6srl27Siq4SnDaaadVaoEAAAAAqkaFpha94oor1L17d/3xxx+B7xiQpN69e+vSSy+ttOKqSmZmpjIzM+X1eq0uBQAAALBMhcKAJCUnJys5OVmbNm2SJDVq1Oi4+cKxjIwMZWRkKCcnRwkJCVaXAwAAAFiiQt2EfD6fnnzySSUkJCglJUUpKSmqVauWnnrqKfl8vsquEQAAAEAVqNCVgYceekivvvqqRo4cqW7dukmSFixYoMcff1yHDh3SM888U6lFAgAAAKh8FQoDb7zxhl555RVdfPHFgWXt2rVTw4YNdeuttxIGAAAAgONAhboJ7dq1S61atSq2vFWrVtq1a9cxFwUAAACg6lUoDLRv315jx44ttnzs2LFq167dMRdlN3zNAAAAAKxQoW5Czz//vPr376/Zs2cHvmPgm2++0caNGzVz5sxKLRAAAABA1ajQlYGePXvql19+0aWXXqrs7GxlZ2frsssu06pVqzR58uTKrhEAAABAFajw9ww0aNCg2EDh5cuX69VXX9XEiROPuTAAAAAAVatCVwYAAAAAHP8IAwAAAIBNEQYAAAAAmzqqMQOXXXZZmfdnZ2cfSy32ZZhcFAAAANXvqMJAQkLCEe8fNGjQMRUEAAAAoHocVRiYNGlSVdUBAAAAoJoxZgAAAACwKcJAGGDEAAAAAKxAGAAAAABsijAAAAAA2BRhAAAAALApwgAAAABgU4QBAAAAwKYIAwAAAIBNEQYAAAAAmyIMhAHDFw0AAADAAoQBAAAAwKYIA2HA4bC6AgAAANgRYSAM0E0IAAAAViAMhAGyAAAAAKxAGAgD9BICAACAFQgDAAAAgE0RBsJAvo+OQgAAAKh+hIEwsH1vrtUlAAAAwIYIAwAAAIBNEQYAAAAAmyIMAAAAADZFGAAAAABsijAAAAAA2BRhAAAAALApwgAAAABgU4QBAAAAwKYIAwAAAIBNEQYAAAAAmyIMAAAAADZFGAAAAABsijAAAAAA2BRhwEK1YyOtLgEAAAA2RhgAAAAAbIowAAAAANgUYcBCDofVFQAAAMDOCAMAAACATREGAAAAAJsiDFjIIfoJAQAAwDqEAQsxZgAAAABWIgwAAAAANkUYsBAXBgAAAGAlwgAAAABgU4QBCzkYNAAAAAALEQYAAAAAmyIMAAAAADZFGLAQnYQAAABgJcIAAAAAYFOEAQAAAMCmCANhwhhjdQkAAACwGcKAlRg0AAAAAAsRBiwUnAW4MAAAAIDqRhgIE2QBAAAAVDfCQJhgzAAAAACqG2HAQg7H4Y5CRAEAAABUN8KAhRg/DAAAACsRBiwUfDWAXkIAAACoboSBMGHoKAQAAIBqRhiwEFOLAgAAwEqEAQs5GDQAAAAACxEGAAAAAJsiDIQJugkBAACguhEGLBQyZoABxAAAAKhmx30Y2Lhxo3r16qW0tDS1a9dO06ZNs7qk8gv+0jGyAAAAAKpZhNUFHKuIiAiNHj1aHTp00NatW9WxY0ddcMEFiouLs7o0AAAAIKwd92Ggfv36ql+/viQpOTlZdevW1a5du467MMCFAQAAAFQ3y7sJffnll7rooovUoEEDORwOffTRR8XWyczMVGpqqqKjo9WlSxctWrSoxG0tWbJEXq9XjRs3ruKqK0fo9wwQBwAAAFC9LL8ysH//frVv315Dhw7VZZddVuz+d999V3feeacmTJigLl26aPTo0erbt69Wr16txMTEwHq7du3SoEGD9PLLL5e6r9zcXOXm5gZu5+TkSJI8Ho88Hk8lHtXR83g88rgsLeG44n++rH7ejle0X8XRdhVH21UcbXdsaL+Ko+0qzuq2K+9+HSaMPpJ2OByaPn26BgwYEFjWpUsXpaena+zYsZIkn8+nxo0b67bbbtP9998vqeBN/rnnnqthw4bp+uuvL3X7jz/+uJ544oliy99++23FxsZW7sGUw5M/uLQzt+D6wMj0fMVYHs0AAABwIjhw4ID+8pe/aM+ePYqPjy91vbB++5mXl6clS5bogQceCCxzOp3q06ePvvnmG0kF3WuGDBmic845p8wgIEkPPPCA7rzzzsDtnJwcNW7cWOedd16ZjVRV/vXzl9qZe0iSdO655yo+JrLaazheeTwezZo1S+eee64iI2m3o0X7VRxtV3G0XcXRdseG9qs42q7irG47fw+YIwnrMLBjxw55vV4lJSWFLE9KStLPP/8sSVq4cKHeffddtWvXLjDeYPLkyWrbtm2x7bndbrnd7mLLIyMjLXmSHEFTi0ZEWFPD8c6q5+5EQftVHG1XcbRdxdF2x4b2qzjaruKsarvy7jOsw0B5dO/eXT6fz+oyKsQRNISYLx0DAABAdbN8NqGy1K1bVy6XS9u2bQtZvm3bNiUnJ1tUFQAAAHBiCOswEBUVpY4dO2rOnDmBZT6fT3PmzFHXrl0trKzyhc8wbgAAANiF5d2E9u3bp19//TVwe926dVq2bJlOOukkNWnSRHfeeacGDx6sTp06qXPnzho9erT279+vG264wcKqAQAAgOOf5WHg+++/19lnnx247Z/tZ/DgwXr99dc1cOBA/fnnn3r00Ue1detWdejQQZ9++mmxQcXHOy4MAAAAoLpZHgZ69ep1xG/fHT58uIYPH15NFVUfh+PI6wAAAABVJazHDNjJDxt2W10CAAAAbIYwECZuevN7q0sAAACAzRAGLEQvIQAAAFiJMAAAAADYlC3DQGZmptLS0pSenm5pHcwgBAAAACvZMgxkZGQoKytLixcvtrQOvmgMAAAAVrJlGAAAAABAGAAAAABsizAAAAAA2BRhwEKGIcQAAACwEGHAQgwgBgAAgJUIAwAAAIBNEQYAAAAAmyIMAAAAADZFGLAQQwYAAABgJcIAAAAAYFOEAQAAAMCmCANWYm5RAAAAWMiWYSAzM1NpaWlKT0+3uhQAAADAMrYMAxkZGcrKytLixYstrYPrAgAAALCSLcMAAAAAAMIAAAAAYFuEAQAAAMCmCAMWYjIhAAAAWIkwAAAAANgUYQAAAACwKcKAheglBAAAACsRBgAAAACbIgxYyDCCGAAAABYiDAAAAAA2RRgAAAAAbIowYCE6CQEAAMBKhAEAAADApggDAAAAgE3ZMgxkZmYqLS1N6enpVpcCAAAAWMaWYSAjI0NZWVlavHixtYUwaAAAAAAWsmUYCBdkAQAAAFiJMAAAAADYFGEAAAAA1crj9emH33cr3+uzuhTbIwwAAACgWj3y0UpdNu5rPf3JT1aXYnuEAQsZEzpqwOtjFAEAAHaQl2/tJ+JWv+eYunijJOn1r9dbWgcIA2Hl/SUbrS4BAABUsS9+3qZTHv6fJn+7wZL9T/xyrVo/9qlWbt5jyf4RXggDYWTT7oNWlwAAAKpYxpSlkgq6yljhHzN/1iGPTw9ZtH+EF8KAhegUBACA/ZgweQfgsLoAhAXCAAAAgA05SQOSpP9bvkWjPl9dbCynXURYXYCdFT3nbHoOAgAACzgcpAFJuu2dgm5bZzSvozOb17W4murHlQEAAGBbufle3T51qT5aurna9hkuH/5xZSDUrv15VpdgCcKAhcKlzyAAAOFo655DmrRwnfYe8lTZPqZ8+7s+WrZFt7+7rMr2UVS4vPo7GDUA0U3IUvne0D8HXK0DAOCwKyZ8rU27D+rHTXv0n4EdqmQfO/fnVsl2jwu874C4MmCp/CJf+BEulw0BAAgH/im3567eXmX7sPNrL1kAEmHAUh6vtd8+CACA3VnyRbxhEkCcdEkIYdduU4QBC93YLdXqEgAgLGzLOaRLMhfqgyWbrC4FYagq36LZefweWSCUXduDMGChEec0t7oEAAgLT3/yk5ZvzNZd05ZbXQpsxs7dhLgyAMmmYSAzM1NpaWlKT0+3tI4Ily2bHwCKyTlYdbPFoOq89e0GfffbTqvLOCY+C/oJhcvVCLJAKLs2hy3fjWZkZCgrK0uLFy+2uhQAgMKmCzWOwtdrd+jhj1Zq4MRvrS7lmHDuwe5sGQbCVbh8UgAA1c2EeV+NJRt268xn5+h/K/6wupSwsX7HgWrbV1V+U64Vp164nO7h8A3EfPGZ9QgDYcSuo9gBINwNe/N7bdlzSH+b8oPVpZRo3urt2rir+t6cSyfOB1i+cHlnboFweNcRDoHEL4xKqVZ86VgYOVH+sALA0Qr392N5+eE7FfTXa3doyKSCbq/rR/a3uBocT8LhU/kwKCFIeFVTXbgyEEbC/cUQAKpKuH8YEg5vmkqzZP1uS/Z7orxmWdFFLVyaLhw+lQ+DEmyPMBBGFvy6w+oSAMAS4f7G0hXGacCqpgvzp6zcLPnSsTDhDYODt7qLdHAYtGswIQyEkR837bG6BACwRLiHgXCejz3c264yVGXr23nMwPxf/rS6BMt75oRBHrIcYSDMhPuMGgBQFcK9m1A4VxfubVcZDnm8VbZtK1qP1/rDrL7oFhwGwzfyVy3CQJjJJ6ICqGbh8MYk3P/0hUMbhZ1qbJP9eVUXBjbvPlhl2y4NZ9NhhzzWDs4PCQNhfAWwKhEGwky+lz8RAKrPvtx89Xh+ru7/4EerSwlr4fyX2aqcEu4Brrx2H8izugRYKPj358tw6DZlAcJAmMnzhu/0dQAqLi/fpzvfW6b/LttsdSkhpi/drE27D2rq4o3WFhLmbyzD+cKAZQOIw7lRjoKdxwwg9Pmf/O0GCyuxDmEgzHgIA8AJ6Z1Fv+vDHzZrxNRlVpcSIj9M/uaE+wchYf3GNwxqO1iF3XiqWnDzVdfzHAZPGQqdKFe4jgVhIMwQBoAT0/a9h6wuoUThMLWgJC3flG11CWUKk2YqkVW1Be926UZrvuugMgS/MQ/n5xlVgytDhIGws2s/fReBE1G45nxPmIxTCh62F46fwofzGwarZhM6Ud44Bz+3W7KrfzAxrGXC9G9zdSIMhJmb31xidQnACSXnkEdvfL1euy0O2uH4BleSvL7weyVcsTn8vnPlQBh3g7HsykCYntPH4v0lm6wuwZZ8FibLcA761YUwYLG+jUJfiDfzqQRQqaZ8+7sem7FKV730jaV1hEt3nKLCcTrjRet2WV3CccUub2aqanxLcPO9MGdNlewDZbPyDLbL709ZCAMWa39S+H0qB5xIJsxfK0las32fpXV4w/QFJzikhMsnveHSdel4Efy0ZVfjNJkhp0s1PGVVdV7wZtB6Vv7tCcPPQ6odYcBiDeOsrgA4sYXLG1wrL4OXJfjKwNzV2y2rI7h1Nuzcb1kd5bF+R3jVFxzoNuw8UG37DR6rMPunqj93vlu3s0q2G56/mdUnN9/6LnBLNlg3AD1cXiOsRBgIA03rxIbcXr11r0WVACeecPk7H3xlYMWm8OkTH/xGcnO2dTMeBT9Pln/nwRGE26xvwd1nxs37tdr2G/ycfbWm6r+saeaKP6p8H1Z4+uMsS/efl2/9+bxlj3VdpMP0c5pqRRgIA0W7D/Qd/aVFlQAnnuBPvq2cU9+Tf7iO1xaus6yOooLDwO9h/ol8uAi3Ll/B5/hnq7ZV236D26E6xp68933VDO61+pPhVxZY+/dg027rxyqu2WZdN066iUkRVhcA6ZH+rTRs8tKQZan3f6J7+rZUhNMhl9Mhp8P/f+EKDoeCfpT/VsHPRZYXLnBIcjgcQT+X/HiVtp4cQT8fXq5iy4vUFvT4I9ZSuK2gTZd4bF6vV2tzpO837FZkRETh40tqg9LbSUWWl9YewY8vuo8jtVPRNi1aS3C7qYTHl7QPx+EVA3UcPj8OnyeO4CJs7KDn8CXwVVty1L5xLUvqCP5SrelLN+s/AztYUkdRwWHg5a/W6aH+aRZWc3wY9ub3+urec6wuI8CqwenBXd/WhVnXqaNh9/eC57/wldaP7G9pDePmrdW9/VpZsm/CgE3DQGZmpjIzM+X1Wt9PTpJ6nVJPc+/upbP/NS9k+T8/W21NQceNCL24arHVRYQtp6MgJDidDrmCQoLLWRA28vNc+seq+YpwOuV0FgaKoPWdTodchcv9IaNgecE2XE6nIgoDSITTIZer8P/CdSNchx/jcjqL3D78mNDbzjK24b/tLPP+wzU55XKFBqJLMhdq0UO9Va+Gu9rDUtF+uau37lXL5JrVWkNJDuTlh9zenH1QDWvFWFTNYa8tWKeh3ZtaXUaJNu6y/pPUYFbNCBVmvaUqrGj75Xt9inDRccIuimaBvHyfoiLs9fzbMgxkZGQoIyNDOTk5SkhIsLocSVLTunH67Paz9NiMlfr2t106p1WiasVGSqYgtXpNwacwRkbGHD55/bcLfg4+qQvX898yJujn0OUKWR60PXN4gFjwY1TKcv8+guvx3whdXnQfxeso+diCtuUz2r9/v2Lj4g7vq6SaS/iaeVPSeiH7Lv3YDm/XFGmPUtYruq3yHFslva77Cs+d0jtEOpTjya2cnR1HOj8zR5ICIUKOoODkKAhK/v9Liwt5eS49vnxu4HZ5gkXRLxT0dwdskVgj5KpP8JUkp6P48sr2Y5HxC91GfiFJ6tWyXiAUltQ+/qtPwbcL7g/+OehqoUMyPp/Wr3fqx09Xy+VyhdxX1JMfZ+nJj7N0/RkpinW7Cq+SOgNXS4P/j3A5FVkYFCNd/uWHf450OQv/LwyJRZcVhlD/tiICwdIph0oeYJp6/yda9ui5io2KUKTLYemVuNwifb5zDnkUHx1Z5fst+onq7v15qh0XVaX7NMZUeVuPm7dWf+99cpXuo12jhGK/e7BG0fP44Y9W6Pkr2ltUjTVsGQbCVcvkmpp6c1eryzgueDwezZw5Uxdc0F2RkVX/omeVQEgwpYcGnykIFl5j5PUZ+XxGXmPkM0Y+X8Fyn6/gPq8xMsYoN8+j+V9+pTO7dZfD6Qos9/oKuhz4TOj6RZf7/8/3b9cXfNtXuL4vcH9+YV2HbxdfJ3Qbwbd9Jd5f3m36fy7K6zPyVngeEYf253sq+NhQv1o85Wlp5q2uqgGhTs37Y0O51578bfnXrW4dnpwV+NkfNA5fJQsKLoVXrAquwpV9xS14ecH/hVfzjLR1q1Nz318hl8sVWO50OPR/y7eE1NXu8c/VvUVdnRQXpdgoVyDY+INPpD/0uByKLLxq51/uCvrnD05Fw5ez8P9vfwud3ee0p2apZnSE3r7pDNWMjlBslEsxUS7FRLoq7ZP21o99pqwn+1XKtvyK/n0YNeuXKg8DCTGhr1sfLNmkyzs2qtJ9liU33yt3hMuy/UsFs4il1Kn+KRaLPv/vfb+JMAAgfATGCwQPoqgEHo9Hv8ZJrRvEn9BhKpgxRrn5BcHioMcbCDU+/1W3wisp/mWlDSr05Ofrqy+/VI+zzlJkRMRRxYnEmm5FuJz6du1O/bw1R52b1pG38IqfjEKuWvkDoC/kslzVcEc6NX7eWn21Zock6bGL0hTnjggEQaPDbeLzmcBVp8Nt5r99+OeCK5mhx5Pv9Wrt2t/UtFkzOZ3OwPr+dbK25Kh/u/p69L+rArXd1L1pQbe24HDnNfIUhsR8n1G+t+Bnj7cgFOZ7C5cX3pfvX+4zh3/2Bt1fRmgsL4/XyFPlXU+dWrKjfDPqLPh1RxXXUrK9h/J10dgFxZZHuhyKjnApujAcxES6FB3pVHRkQWBwRzgV6XIqKsIpd4RTUYU/F3Ugz6vU+z9R/7b1FR8TodioiILtRLgUXbhNd2ThzxHOwmUuueTTlgPShl0HVDPGHRTOpD0Hiwf71Ps/0eiBHVS7MFC5I5xyR7gU6Sq4quSvNzKiIGRFFga98sr1hF7NuWvacn29dqfu7deycH+uKrviVNLftpYPf6rlj56nhFjrXg96/nOeJWMXSvr+Cp/PHNXzebwjDACwBYfDoejIgk++4twV/9Pn8Xi0JlY6ObFGhYNUn7Qk9UlLqnANVeHM5nWrfB8FV/R+1QV9Tymz7QZ1Ta3yWkriv6oWHBj8HI6C8yYy6BPu3HyvDuX55PH55PEeDhhen08erwkJK/4gcviqXfBVttAreP5QGrw8Lz9fq1ZlqWWrUyWH8/DVu8L1s7bkqG2jBHVKOUlTvtugs06pp/25+Trk8YaEJP/PHu/hujxBgansq2/+K3+Hb0dHuvTohWka9NqiQLucFBelvHyf9uflB65gFoSlfO3NDR2jUlGfVGia0Qg9t7x4UCnN7e8uO7qtOx2K8ocEl1NRLkdhWDgcdKIKw8Si9cW/ZfuDHzbpgx8Oz5jkcKggFAWHDv9tl1OREY6gfR2+PzKi4CqP/+cIpyNkMorSvleg/ZOfq05clGKiCgKUuzCYRTgd2rPbqek7f5A70lViDYHbhcuigo45srC28ki9/xP1PKWeakRHKCbSVdhmBY8Pbtvg8OjfvrtIW/vrigpqu6KPk6TdJXxRX7MHZ+qRC9OUHB+t2ML2KGiXglDor8sd6Qw8R8dzeCAMAAAgFYyPkEMFmfHIXSbcEa5q61rh8Xg0c/cqXdA99YghtPvJVR/siirpE13/1bhDHq8Oerw65PHpYJ7/Z29g+YE8r/LyfcrLLwhVefk+5RX+n5vvU84hj3q1TNTa7fv0wpw1GtQ1RU3rxmnfoXzty8tXrscX2J5/f4c8Ph3KL/g/t3A/OfsPyjgjAlcIj6RdowR5vKZgu4XbzvMW1OgPe8HyfUb5eV5JFb9C5HAEjZszBeNBcvN9UjUN79q5P08qcWIop1bvqZ6rTfN/qfrvrCiPp47y+x8iXY5A+PD/i3Q6lXvApQ5nHlRKvfC9Ck8YAAAAlc5/NS460qValbTNO849pUKPOzzOrK8iIyMLu8AdvuoR4XIcdbDzFl5VyfP65Mn3FV79OBwYDocbUxggCm97jfLyfWqZVFNtG4VOYuIPUHlen3I9PuXmewuv6Pi3W7it/CK3A/sLuu31yZNfcDWnpIkterVMVHrqSZIKrort3J+nHftyddDjLQhY+V558n06lOfR4iVLlda2nXxyBI616HEGlhW9XfivJB1TTtLws1voQF6+pnz3uzxenxrUitGB3Hwd9ARvuyAUFT3W4suC1zOHn4OgkFneSTrOOqWeDuV5dcCTr4N5hWG2MBj62z6Yv6vg/ryiYdAR9t9yTRgAAAC24nAUDuw+hgs7BYOrXYHuh5VVlz9AKbrSNntETqdD9Wq6Va+mu9h9Ho9H5nejC05vWGVjzKIiopRxdosq2XZR+UFBQQ4FZg872jDo8xWEnUDQyC9+Vetgbp4WfPOd6lbxLFvHijAAAAAAWyiYSUuKiTq2EOd0OhR9hDDo8Xi08ycjdyUGxqpgr29VAAAAABBAGAAAAABsijAAAAAA2BRhAAAAALApwgAAAABgU4QBAAAAwKYIAwAAAIBNEQYAAAAAmyIMAAAAADZFGAAAAABsijAAAAAA2BRhAAAAALApwgAAAABgU4QBAAAAwKYirC7ASsYYSVJOTo4l+/d4PDpw4IBycnIUGRlpSQ3HK9ru2NB+FUfbVRxtV3G03bGh/SqOtqs4q9vO//7W/363NLYOA3v37pUkNW7c2OJKAAAAgMq3d+9eJSQklHq/wxwpLpzAfD6ftmzZopo1a8rhcFT7/nNyctS4cWNt3LhR8fHx1b7/4xltd2xov4qj7SqOtqs42u7Y0H4VR9tVnNVtZ4zR3r171aBBAzmdpY8MsPWVAafTqUaNGlldhuLj4/kFqyDa7tjQfhVH21UcbVdxtN2xof0qjrarOCvbrqwrAn4MIAYAAABsijAAAAAA2BRhwEJut1uPPfaY3G631aUcd2i7Y0P7VRxtV3G0XcXRdseG9qs42q7ijpe2s/UAYgAAAMDOuDIAAAAA2BRhAAAAALApwgAAAABgU4QBAAAAwKYIAxbJzMxUamqqoqOj1aVLFy1atMjqkqrdl19+qYsuukgNGjSQw+HQRx99FHK/MUaPPvqo6tevr5iYGPXp00dr1qwJWWfXrl269tprFR8fr1q1aunGG2/Uvn37Qtb58ccf1aNHD0VHR6tx48Z6/vnnq/rQqtyzzz6r9PR01axZU4mJiRowYIBWr14dss6hQ4eUkZGhOnXqqEaNGrr88su1bdu2kHV+//139e/fX7GxsUpMTNQ999yj/Pz8kHXmzZun008/XW63Wy1atNDrr79e1YdXpcaPH6927doFvgSma9eu+t///he4n3Yrv5EjR8rhcOj2228PLKP9Svf444/L4XCE/GvVqlXgftqubJs3b9Z1112nOnXqKCYmRm3bttX3338fuJ/XjNKlpqYWO/ccDocyMjIkce6Vxev16pFHHlHTpk0VExOj5s2b66mnnlLw/DvH/blnUO2mTp1qoqKizGuvvWZWrVplhg0bZmrVqmW2bdtmdWnVaubMmeahhx4yH374oZFkpk+fHnL/yJEjTUJCgvnoo4/M8uXLzcUXX2yaNm1qDh48GFinX79+pn379ubbb781X331lWnRooW55pprAvfv2bPHJCUlmWuvvdasXLnSvPPOOyYmJsa89NJL1XWYVaJv375m0qRJZuXKlWbZsmXmggsuME2aNDH79u0LrHPLLbeYxo0bmzlz5pjvv//enHHGGebMM88M3J+fn2/atGlj+vTpY5YuXWpmzpxp6tatax544IHAOr/99puJjY01d955p8nKyjJjxowxLpfLfPrpp9V6vJVpxowZ5pNPPjG//PKLWb16tXnwwQdNZGSkWblypTGGdiuvRYsWmdTUVNOuXTszYsSIwHLar3SPPfaYad26tfnjjz8C//7888/A/bRd6Xbt2mVSUlLMkCFDzHfffWd+++0389lnn5lff/01sA6vGaXbvn17yHk3a9YsI8nMnTvXGMO5V5ZnnnnG1KlTx3z88cdm3bp1Ztq0aaZGjRrmhRdeCKxzvJ97hAELdO7c2WRkZARue71e06BBA/Pss89aWJW1ioYBn89nkpOTzT//+c/AsuzsbON2u80777xjjDEmKyvLSDKLFy8OrPO///3POBwOs3nzZmOMMePGjTO1a9c2ubm5gXXuu+8+07Jlyyo+ouq1fft2I8nMnz/fGFPQVpGRkWbatGmBdX766ScjyXzzzTfGmIIw5nQ6zdatWwPrjB8/3sTHxwfa69577zWtW7cO2dfAgQNN3759q/qQqlXt2rXNK6+8QruV0969e83JJ59sZs2aZXr27BkIA7Rf2R577DHTvn37Eu+j7cp23333me7du5d6P68ZR2fEiBGmefPmxufzce4dQf/+/c3QoUNDll122WXm2muvNcacGOce3YSqWV5enpYsWaI+ffoEljmdTvXp00fffPONhZWFl3Xr1mnr1q0h7ZSQkKAuXboE2umbb75RrVq11KlTp8A6ffr0kdPp1HfffRdY56yzzlJUVFRgnb59+2r16tXavXt3NR1N1duzZ48k6aSTTpIkLVmyRB6PJ6T9WrVqpSZNmoS0X9u2bZWUlBRYp2/fvsrJydGqVasC6wRvw7/OiXKuer1eTZ06Vfv371fXrl1pt3LKyMhQ//79ix0j7Xdka9asUYMGDdSsWTNde+21+v333yXRdkcyY8YMderUSVdeeaUSExN12mmn6eWXXw7cz2tG+eXl5emtt97S0KFD5XA4OPeO4Mwzz9ScOXP0yy+/SJKWL1+uBQsW6Pzzz5d0Ypx7hIFqtmPHDnm93pBfKElKSkrS1q1bLaoq/Pjboqx22rp1qxITE0Puj4iI0EknnRSyTknbCN7H8c7n8+n2229Xt27d1KZNG0kFxxYVFaVatWqFrFu0/Y7UNqWtk5OTo4MHD1bF4VSLFStWqEaNGnK73brllls0ffp0paWl0W7lMHXqVP3www969tlni91H+5WtS5cuev311/Xpp59q/PjxWrdunXr06KG9e/fSdkfw22+/afz48Tr55JP12Wef6W9/+5v+/ve/64033pDEa8bR+Oijj5Sdna0hQ4ZI4vf2SO6//35dffXVatWqlSIjI3Xaaafp9ttv17XXXivpxDj3Iqp06wCqXEZGhlauXKkFCxZYXcpxo2XLllq2bJn27Nmj999/X4MHD9b8+fOtLivsbdy4USNGjNCsWbMUHR1tdTnHHf8niZLUrl07denSRSkpKXrvvfcUExNjYWXhz+fzqVOnTvrHP/4hSTrttNO0cuVKTZgwQYMHD7a4uuPLq6++qvPPP18NGjSwupTjwnvvvacpU6bo7bffVuvWrbVs2TLdfvvtatCgwQlz7nFloJrVrVtXLper2Cj9bdu2KTk52aKqwo+/Lcpqp+TkZG3fvj3k/vz8fO3atStknZK2EbyP49nw4cP18ccfa+7cuWrUqFFgeXJysvLy8pSdnR2yftH2O1LblLZOfHz8cf3mJSoqSi1atFDHjh317LPPqn379nrhhRdotyNYsmSJtm/frtNPP10RERGKiIjQ/Pnz9eKLLyoiIkJJSUm031GoVauWTjnlFP3666+ce0dQv359paWlhSw79dRTA92seM0onw0bNmj27Nm66aabAss498p2zz33BK4OtG3bVtdff73uuOOOwNXRE+HcIwxUs6ioKHXs2FFz5swJLPP5fJozZ466du1qYWXhpWnTpkpOTg5pp5ycHH333XeBduratauys7O1ZMmSwDpffPGFfD6funTpEljnyy+/lMfjCawza9YstWzZUrVr166mo6l8xhgNHz5c06dP1xdffKGmTZuG3N+xY0dFRkaGtN/q1av1+++/h7TfihUrQv5AzZo1S/Hx8YEX3a5du4Zsw7/OiXau+nw+5ebm0m5H0Lt3b61YsULLli0L/OvUqZOuvfbawM+0X/nt27dPa9euVf369Tn3jqBbt27Fpk/+5ZdflJKSIonXjPKaNGmSEhMT1b9//8Ayzr2yHThwQE5n6Ntll8sln88n6QQ596p8iDKKmTp1qnG73eb11183WVlZ5uabbza1atUKGaVvB3v37jVLly41S5cuNZLMqFGjzNKlS82GDRuMMQVTddWqVcv897//NT/++KO55JJLSpyq67TTTjPfffedWbBggTn55JNDpurKzs42SUlJ5vrrrzcrV640U6dONbGxscf9NHF/+9vfTEJCgpk3b17IdHEHDhwIrHPLLbeYJk2amC+++MJ8//33pmvXrqZr166B+/1TxZ133nlm2bJl5tNPPzX16tUrcaq4e+65x/z0008mMzPzuJ8q7v777zfz588369atMz/++KO5//77jcPhMJ9//rkxhnY7WsGzCRlD+5XlrrvuMvPmzTPr1q0zCxcuNH369DF169Y127dvN8bQdmVZtGiRiYiIMM8884xZs2aNmTJliomNjTVvvfVWYB1eM8rm9XpNkyZNzH333VfsPs690g0ePNg0bNgwMLXohx9+aOrWrWvuvffewDrH+7lHGLDImDFjTJMmTUxUVJTp3Lmz+fbbb60uqdrNnTvXSCr2b/DgwcaYgum6HnnkEZOUlGTcbrfp3bu3Wb16dcg2du7caa655hpTo0YNEx8fb2644Qazd+/ekHWWL19uunfvbtxut2nYsKEZOXJkdR1ilSmp3SSZSZMmBdY5ePCgufXWW03t2rVNbGysufTSS80ff/wRsp3169eb888/38TExJi6deuau+66y3g8npB15s6dazp06GCioqJMs2bNQvZxPBo6dKhJSUkxUVFRpl69eqZ3796BIGAM7Xa0ioYB2q90AwcONPXr1zdRUVGmYcOGZuDAgSHz5NN2Zfu///s/06ZNG+N2u02rVq3MxIkTQ+7nNaNsn332mZFUrE2M4dwrS05OjhkxYoRp0qSJiY6ONs2aNTMPPfRQyBSgx/u55zAm6CvUAAAAANgGYwYAAAAAmyIMAAAAADZFGAAAAABsijAAAAAA2BRhAAAAALApwgAAAABgU4QBAAAAwKYIAwAAAIBNEQYAAOUyYsQI3XzzzfL5fFaXAgCoJIQBAMARbdy4US1bttRLL70kp5OXDgA4UTiMMcbqIgAAAABUPz7eAQCUasiQIXI4HMX+9evXz+rSAACVIMLqAgAA4a1fv36aNGlSyDK3221RNQCAysSVAQBAmdxut5KTk0P+1a5dW5LkcDg0fvx4nX/++YqJiVGzZs30/vvvhzx+xYoVOueccxQTE6M6dero5ptv1r59+0LWee2119S6dWu53W7Vr19fw4cPD9w3atQotW3bVnFxcWrcuLFuvfXWYo8HAFQMYQAAcEweeeQRXX755Vq+fLmuvfZaXX311frpp58kSfv371ffvn1Vu3ZtLV68WNOmTdPs2bND3uyPHz9eGRkZuvnmm7VixQrNmDFDLVq0CNzvdDr14osvatWqVXrjjTf0xRdf6N5776324wSAExEDiAEApRoyZIjeeustRUdHhyx/8MEH9eCDD8rhcOiWW27R+PHjA/edccYZOv300zVu3Di9/PLLuu+++7Rx40bFxcVJkmbOnKmLLrpIW7ZsUVJSkho2bKgbbrhBTz/9dLlqev/993XLLbdox44dlXegAGBTjBkAAJTp7LPPDnmzL0knnXRS4OeuXbuG3Ne1a1ctW7ZMkvTTTz+pffv2gSAgSd26dZPP59Pq1avlcDi0ZcsW9e7du9T9z549W88++6x+/vln5eTkKD8/X4cOHdKBAwcUGxtbCUcIAPZFNyEAQJni4uLUokWLkH/BYeBYxMTElHn/+vXrdeGFF6pdu3b64IMPtGTJEmVmZkqS8vLyKqUGALAzwgAA4Jh8++23xW6feuqpkqRTTz1Vy5cv1/79+wP3L1y4UE6nUy1btlTNmjWVmpqqOXPmlLjtJUuWyOfz6d///rfOOOMMnXLKKdqyZUvVHQwA2AzdhAAAZcrNzdXWrVtDlkVERKhu3bqSpGnTpqlTp07q3r27pkyZokWLFunVV1+VJF177bV67LHHNHjwYD3++OP6888/ddttt+n6669XUlKSJOnxxx/XLbfcosTERJ1//vnau3evFi5cqNtuu00tWrSQx+PRmDFjdNFFF2nhwoWaMGFC9TYAAJzAuDIAACjTp59+qvr164f86969e+D+J554QlOnTlW7du305ptv6p133lFaWpokKTY2Vp999pl27dql9PR0XXHFFerdu7fGjh0bePzgwYM1evRojRs3Tq1bt9aFF16oNWvWSJLat2+vUaNG6bnnnlObNm00ZcoUPfvss9XbAABwAmM2IQBAhTkcDk2fPl0DBgywuhQAQAVwZQAAAACwKcIAAAAAYFMMIAYAVBg9TQHg+MaVAQAAAMCmCAMAAACATREGAAAAAJsiDAAAAAA2RRgAAAAAbIowAAAAANgUYQAAAACwKcIAAAAAYFP/D0dPKUZJ/Gy3AAAAAElFTkSuQmCC\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "error_l2 = np.linalg.norm(u_fem - u_pinn) / np.linalg.norm(u_fem)\n", + "\n", + "print(\"Error relativo L2:\", error_l2)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "iyvtS0G59tXo", + "outputId": "b41e97f9-935f-4e3a-ad25-bb3f505214e8" + }, + "execution_count": 15, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Error relativo L2: 1.0399537050821848\n" + ] + } + ] + } + ] +} \ No newline at end of file diff --git a/EXAMPLES/PINN_vs_FEM_example/README.md b/EXAMPLES/PINN_vs_FEM_example/README.md new file mode 100644 index 000000000..1799b85a9 --- /dev/null +++ b/EXAMPLES/PINN_vs_FEM_example/README.md @@ -0,0 +1,26 @@ +# PINN vs FEM Example + +This example compares a classical Finite Element Method (FEM) structural dynamics solution using OpenSeesPy against a Physics-Informed Neural Network (PINN) approximation implemented in PyTorch. + +## Features + +- **SDOF dynamic system**: Modeling a single-degree-of-freedom oscillator. +- **Harmonic excitation**: Application of sinusoidal force to observe frequency response. +- **FEM transient response**: Numerical integration using the OpenSeesPy framework. +- **PINN approximation**: Neural network training constrained by the governing differential equations. +- **Response comparison plots**: Visual validation of the neural network's accuracy against the FEM baseline. + +## Requirements + +The following libraries are required to run the comparison: + +- `openseespy` +- `torch` (PyTorch) +- `numpy` +- `matplotlib` + +## Project Structure + +- `main.py`: Primary script to run both simulations and generate plots. +- `models/`: Contains the PINN architecture and training logic. +- `fem/`: OpenSeesPy model definitions and solver settings.