pcb-stator-coil-generator/coil.ipynb
2022-10-02 16:50:49 +01:00

307 lines
293 KiB
Text

{
"cells": [
{
"cell_type": "code",
"execution_count": 357,
"metadata": {},
"outputs": [],
"source": [
"import pandas as pd\n",
"import numpy as np\n",
"import matplotlib as plt\n",
"from skspatial.objects import LineSegment"
]
},
{
"cell_type": "code",
"execution_count": 358,
"metadata": {},
"outputs": [],
"source": [
"# create a square shape\n",
"# template = [(-1, -1), (1, -1), (1, 1), (-1 , 1)]\n",
"# create a triangle\n",
"template = [[-5, 0], (2, -2), (2, 2)]\n",
"# interpolate the shape using numpy\n",
"\n",
"# create a circle template\n",
"# template = [(np.cos(theta), np.sin(theta)) for theta in np.linspace(0, 2*np.pi, 36)]\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 359,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x2a1155d80>]"
]
},
"execution_count": 359,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# plot the template shape wrapping around to the first point\n",
"plt.pyplot.plot([x for x, y in template] + [template[0][0]], [y for x, y in template] + [template[0][1]])"
]
},
{
"cell_type": "code",
"execution_count": 360,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x2a11c3100>]"
]
},
"execution_count": 360,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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H20JjYkNlrJDI/zC8EBHdIHu/A7vOWGE0Sdh3tgGOwb6QJkCJxZMTkJejx8zUGLaFiDyE4YWI6Dq4XC6U1NiQX2DGluM1aO3qcx8TR0fBIApYOjUREUGBMlZJNDIwvBARXUNjhx2bB9tCpXXt7vGEiCCsyE7GSlFwr8AgouHB8EJE9G96+53YUzbQFtpTakX/YFtIHaDEHRPjkZejx5z0WKjYFiKSBcMLEdGg0zU2GE0SNhdb0NzZ6x7P1EciTxRw19QkaEPYFiKSG8MLEY1ozZ292FI80BYqqbG5x3XhGqyYlgyDKGBsfLiMFRLRv2N4IaIRp9/hxN6yBhhNEnaV1qPPMdAWClQpcPvEeBhEAbeO1SFApZS5UiK6EoYXIhoxzta3I7/AjE1FNWjssLvHpyRrYRAF3J2ZhKhQtYwVEtH1YHghIr/W2tWLD47XIN8k4YTU5h6PCVVj+WBbaEJihIwVEtGNYnghIr/T73DiQHkjjCYJO0rq3VuZBygVmJcRh7wcPXLH6xDIthCRT2J4ISK/UW7tgNEkYVORhHrbpbZQRkI48nL0WJ6VhJgwjYwVEtFQYHghIp9m6+nDB8drYDRJKKpudY9HhQRiWdZAW2hysla+AoloyDG8EJHPcThdOFTRiPwCCR+X1MHeP9AWUikVmDteB4MoYF5GPNQBbAsR+SOGFyLyGVWNndhgkrChUEJtW497fFx8GPJEPZZNS0JceJCMFRLRcGB4ISKv1t7Th20na2E0SfjsfIt7PCIoAMuykpGXI2BKshYKBbfqJxopGF6IyOs4nS4cqWyC0STho1N16O5zAACUCuDWcQNtoQUT4hEUqJK5UiKSA8MLEXmN6qYuGAslbDBJsLR2u8dTdaHIE/VYkZ2M+Ai2hYhGOoYXIpJVp70fH52qQ36BGUermt3j4UEBuCszCQZRwDR9JNtCROTG8EJEw87lcuFYVTOMJglbT9aiq3egLaRQAHPSY2EQBSyclMC2EBFdEcMLEQ0bqaULGwsH7uBc3dzlHh8TEwKDKGBFtoCkyGAZKyQiX+DRTRD279+Pu+66C0lJSVAoFNi8efMXPmfv3r3Izs6GRqNBeno61q9f78kSicjDunsd2FQk4RuvH8Etv9mD3+04i+rmLoSqVfh6jh75D8/Env+bi8fmjWVwIaLr4tErL52dncjMzMT999+PFStWfOH5VVVVWLp0KR5++GG888472LVrF77zne8gMTERCxcu9GSpRDSEXC4XCqtbkF8g4cMTteiw97uPzUqLgUEUsGhyAkLUvPhLRDfOo785Fi9ejMWLF1/3+evWrUNKSgp++9vfAgAmTJiAgwcP4ve//z3DC5EPqG3rdreFqho73eP66GAYsgdWC+mjQ2SskIj8gVf92XP48GEsWLDgsrGFCxfi8ccfv+pz7HY77PZLN2Cz2WyeKo+IrqCnz4FPTtcjv8CMg+WNcLkGxoMDVVgyJRF5OQKmj4mGUsnVQkQ0NLwqvNTV1SE+Pv6ysfj4eNhsNnR3dyM4+PP98LVr1+K5554brhKJCANtoWJzK4wmCe8fr0F7z6W20PSUaOSJAhZPSUSYxqt+xRCRn/D53yxr1qzB6tWr3Y9tNhv0er2MFRH5L6utBxuLBtpC5dYO93hyZDBWZidjpShgdEyojBUS0UjgVeElISEB9fX1l43V19cjIiLiilddAECj0UCj0QxHeUQjkr3fgZ2nrTCazNh3tgHOwbZQUKASiycnwiAKmJkaw7YQEQ0brwovM2fOxLZt2y4b27FjB2bOnClTRUQjk8vlwimLDfkmM7YU16Ctu899TBwdhTxRwJKpiYgICpSxSiIaqTwaXjo6OlBeXu5+XFVVheLiYkRHR2PUqFFYs2YNLBYL3n77bQDAww8/jD/+8Y/40Y9+hPvvvx+7d+/GP//5T2zdutWTZRLRoIZ2O7YUW5BfIKGsvt09nhARhJViMlZmC0jVhclYIRGRh8NLQUEB5s6d6358cW7KqlWrsH79etTW1qK6utp9PCUlBVu3bsUPf/hD/OEPf4AgCHj99de5TJrIg3r7ndhdOtAW2lPWAMdgX0gdoMTCSQnIEwXMTo+Fim0hIvISHg0vubm5cF1cN3kFV9o9Nzc3F0VFRR6siogAoKSmDUaThC3FNWju7HWPZ+kjYRAF3JWZBG0w20JE5H28as4LEXlWc2cvNg+uFjpde2lPJF24Biuyk2HIFjA2PlzGComIvhjDC5Gf63M4sa+sAfkmM3aXWtHnGGwLqZRYMDEOeaIet4yNRYDKo7c6IyIaMgwvRH6qrK4dRpMZm4pq0NhxaRfqKcla5OUIuGtqEqJC1TJWSET05TC8EPmR1q5evH+8BvkFEk5a2tzjsWFqLM9KhiFHQEZChIwVEhF9dQwvRD6u3+HEgXONMJok7Dhdj16HEwAQoFRg/oQ4GEQ9csfrEMi2EBH5CYYXIh9Vbm1HvknCpkILrO2X2kITEiOQJwpYlpWEmDDuPk1E/ofhhciHtHX34cMTA22hYnOrezw6VI1lWUkwiAImJWnlK5CIaBgwvBB5OYfThU/LG5FvkvBxSR16+wfaQiqlAnPH62AQ9ZiXEQd1ANtCRDQyMLwQeanKhg5sKJSwsdCC2rYe9/i4+DDkiXosn5YMXTjbQkQ08jC8EHmR9p4+bD1RC6NJQsGFFve4NjgQy7KSkCfqMTk5AgoFt+onopGL4YVIZk6nC4crm2A0SfjoVC16+gbaQkoFcNu4gbbQgolx0ASoZK6UiMg7MLwQyaS6qQtGkxkbCi2wtHa7x9N0ocjL0eOeacmIjwiSsUIiIu/E8EI0jDrt/dh2shb5JgnHqprd4+FBAbgrMwl5ooAsfSTbQkRE18DwQuRhTqcLx843w2iSsO1kLbp6HQAAhQKYkx4Lgyhg4aQEBAWyLUREdD0YXog8xNzchY2FFmwolFDd3OUeT4kNhUEUsCI7GYnaYBkrJCLyTQwvREOou9eBj04NrBY6VNHkHg/TBODOqYkwiALE0VFsCxERfQUML0RfkcvlgulCC/ILJGw9WYsOe7/72Ky0GOTlDLSFQtT8cSMiGgr8bUr0JdW0dmNjoQSjScL5pkttoVHRIe62kBAVImOFRET+ieGF6Ab09DnwcUkdjCYJB8sb4XINjIeoVVgyJRF5ooCbxkRDqWRbiIjIUxheiL6Ay+VCkbkVRpOED47XoL3nUltoRko0DKKAJVMSEarhjxMR0XDgb1uiq6i39WBjoQVGkxkVDZ3u8eTIYKwUBazMTsbomFAZKyQiGpkYXoj+RU+fA7vOWJFvMmP/2QY4B9tCQYFKLJk8sFro5tQYtoWIiGTE8EIjnsvlwklLG/ILJLx/vAZt3X3uYzmjo5CXM9AWCg8KlLFKIiK6iOGFRixrew+2FNXAaJJQVt/uHk/UBmFFdjIMoh4psWwLERF5G4YXGlF6+53YXVoPo0nCnrIGOAb7QpoAJRZOSoBBFDA7PRYqtoWIiLwWwwuNCCU1A22hLcUWtHRdagtl6SORlyPgzqlJ0AazLURE5AsYXshvNXXYsbl4oC10ptbmHo8L12BFtgCDmIz0uHAZKyQioi+D4YX8Sp/Dib1lDcgvMGN3qRX9g20htUqJ2yfGw5Aj4Jb0WASolDJXSkREXxbDC/mF0jobjAUSNhdb0NjR6x6fKmhhEAXcnZmEyBC1jBUSEdFQYXghn9XS2Yv3jw+0hU5a2tzjsWFq3DNtYLXQ+AS2hYiI/A3DC/mUfocT+881wGiSsPO0Fb0OJwAgUKXA/Ix4GEQBt43XIZBtISIiv8XwQj7hXH07jCYJG4ssaGi3u8cnJkYgL0fAsqxkRIeyLURENBIwvJDXauvqwwcnapBvknDc3Ooejw5VY1lWEgyigElJWvkKJCIiWTC8kFdxOF04WN4Io0nCxyV16O0faAuplArMHR+HvBwBc8fHQR3AthAR0UjF8EJeobKhY6AtVGhBna3HPT4+PtzdFtKFa2SskIiIvAXDC8nG1tOHrSdqYTRJMF1ocY9HhgRiWWYSDKIek5MjoFBwq34iIrpkWMLLq6++ihdeeAF1dXXIzMzEK6+8gunTp1/x3PXr1+O+++67bEyj0aCnp+eK55NvcTpdOFzZhPwCM7aX1KGnb6AtpFQAt43TIS9Hj/kT4qAJUMlcKREReSuPh5f33nsPq1evxrp16zBjxgy89NJLWLhwIcrKyhAXF3fF50RERKCsrMz9mH95+74LTZ3utpCltds9nh4XBoMoYMW0ZMRFBMlYIRER+QqPh5ff/e53ePDBB91XU9atW4etW7fijTfewFNPPXXF5ygUCiQkJHi6NPKwDns/tp2shbFAwrHzze7x8KAA3J2ZhLwcPTIFLcMpERHdEI+Gl97eXphMJqxZs8Y9plQqsWDBAhw+fPiqz+vo6MDo0aPhdDqRnZ2N//7v/8akSZOueK7dbofdfmnfD5vNdsXzaHg4nS4crWqG0STho1O16Op1AAAUCuCWsToYRAF3TIxHUCDbQkRE9OV4NLw0NjbC4XAgPj7+svH4+HiUlpZe8Tnjx4/HG2+8galTp6KtrQ0vvvgiZs2ahZKSEgiC8Lnz165di+eee84j9dP1Mzd3YUOhhA2FEszNl9pCKbGhA22h7GQkaoNlrJCIiPyF1602mjlzJmbOnOl+PGvWLEyYMAGvvfYafvGLX3zu/DVr1mD16tXuxzabDXq9flhqHem6evvx0ck6GE0SDlc2ucfDNAG4KzMRBlFA9qgotoWIiGhIeTS8xMbGQqVSob6+/rLx+vr6657TEhgYiGnTpqG8vPyKxzUaDTQa7v8xXFwuFwoutCC/wIytJ2rR+S9toVlpMcgT9Vg4KQHBaraFiIjIMzwaXtRqNURRxK5du7B8+XIAgNPpxK5du/DYY49d1/dwOBw4efIklixZ4sFK6YvUtHZjY6EEo0nC+aYu9/io6BB3W0iICpGxQiIiGik83jZavXo1Vq1ahZycHEyfPh0vvfQSOjs73auPvv3tbyM5ORlr164FAPz85z/HzTffjPT0dLS2tuKFF17AhQsX8J3vfMfTpdK/6elz4OOSgbbQwfJGuFwD4yFqFZZOGWgLTU+JZluIiIiGlcfDy9e//nU0NDTgmWeeQV1dHbKysrB9+3b3JN7q6moolZfuU9PS0oIHH3wQdXV1iIqKgiiKOHToECZOnOjpUgkDbaHC6lYYTRI+PF6Ddnu/+9jNqdEwiHosnpyAUI3XTZciIqIRQuFyXfx72j/YbDZotVq0tbUhIiJC7nJ8Rl1bDzYWDbSFKhs63ePJkcEwiAJWZgsYFcO2EBHRSHasqhlfe+0wUnWh2P1E7pB+7xv5/OafzyNYT58DO8/UI79AwoFzDXAOxtigQCWWTE6EIUfAzSkxUCrZFiIiIu/B8DLCuFwunJDaYDRJeP94Ddq6+9zHbhoTBYMoYMmURIQHBcpYJRER0dUxvIwQ1vYebC6ywGiScLa+wz2eqA3CymwBK0UBKbGhMlZIRER0fRhe/FhvvxO7ztTDaJKw92wDHIN9IU2AEosmJ8AgCpiVFgsV20JERORDGF78jMvlQkmNDUaThC3FFrR0XWoLTRsViTxRj6VTE6ENZluIiIh8E8OLn+jq7Ud+gYS/H6tGaV27ezwuXIMV2QIMooD0uDAZKyQiIhoaDC8+rrWrF28duoD1h6rcV1nUKiVunxQPgyjglvRYBKiUX/BdiIiIfAfDi4+qa+vB6wcq8e6xanQN3l9oVHQIHpiTgmVZSYgMUctcIRERkWcwvPiYyoYOvLavEhuLJPQ5BibgTkiMwCO5aVgyOYFXWYiIyO8xvPiIU5Y2/M/ecnx0qs59j6HpY6LxyNw05I7T8f5CREQ0YjC8eDGXy4XDlU34094KHDjX6B6fnxGHR3LTkDMmWsbqiIiI5MHw4oWcThd2nKnHn/ZWoNjcCgBQKRW4a2oiHs5NQ0YC79lEREQjF8OLF+lzOPF+cQ3W7avAOevALrjqACW+nqPHQ7emQh/NGyMSERExvHiB7l4H3vusGv97oAqW1m4AQLgmAN+aORr3zU6BLlwjc4VERETeg+FFRm1dfXj78Hm8eeg8mjt7AQCxYWrcPycF37x5NCJ4c0QiIqLPYXiRQb2tB385WIV3jlxA5+AeLfroYDx0axryRAFBgSqZKyQiIvJeDC/D6HxjJ17bX4ENJgt6HU4AQEZCOB7JTcPSKYnco4WIiOg6MLwMg1OWNvxpXwU+OlmLwRs7I2d0FL43Nw1zx8dxjxYiIqIbwPDiIS6XC0ermvE/eyuw/2yDe3zueB2+NzcdN3GPFiIioi+F4WWIOZ0u7Cq14k97y1FY3QoAUCqAO6cm4eHb0jAxiXu0EBERfRUML0Okz+HEB8cH9mg5W39pj5Y8UcB3b03DqBju0UJERDQUGF6+ou5eB/5ZYMaf91e692gJ0wTgmzePxv1zxiAuPEjmComIiPwLw8uX1Nbdh78duYA3Dlah6V/2aLlv9sAeLdpg7tFCRETkCQwvN8hq68FfPq3CO0eq0WHvBwAIUcH47q2pyMvRc48WIiIiD2N4uU4ulwvPbz2Dt49cQG//wB4t4+LD8EhuGu6cmoRA7tFCREQ0LBherpPU0o3XD1YBALJHReJ7uemYlxEHpZJ7tBAREQ0nhpfr1De4I254UAA2PDKLG8sRERHJhL2OG6QAGFyIiIhkxPBCREREPoXhhYiIiHwKwwsRERH5FIYXIiIi8ikML0RERORTGF6IiIjIpzC8EBERkU9heCEiIiKfMizh5dVXX8WYMWMQFBSEGTNm4NixY9c8Pz8/HxkZGQgKCsKUKVOwbdu24SiTiIiIfIDHw8t7772H1atX49lnn0VhYSEyMzOxcOFCWK3WK55/6NAh/Od//iceeOABFBUVYfny5Vi+fDlOnTrl6VKJiIjIB3g8vPzud7/Dgw8+iPvuuw8TJ07EunXrEBISgjfeeOOK5//hD3/AokWL8OSTT2LChAn4xS9+gezsbPzxj3/0dKlERETkAzwaXnp7e2EymbBgwYJLL6hUYsGCBTh8+PAVn3P48OHLzgeAhQsXXvV8u90Om8122RcRERH5L4+Gl8bGRjgcDsTHx182Hh8fj7q6uis+p66u7obOX7t2LbRarftLr9cPTfFERETklXx+tdGaNWvQ1tbm/jKbzXKXRERERB4U4MlvHhsbC5VKhfr6+svG6+vrkZCQcMXnJCQk3ND5Go0GGo1maAomIiIir+fRKy9qtRqiKGLXrl3uMafTiV27dmHmzJlXfM7MmTMvOx8AduzYcdXziYiIaGTx6JUXAFi9ejVWrVqFnJwcTJ8+HS+99BI6Oztx3333AQC+/e1vIzk5GWvXrgUA/OAHP8Btt92G3/72t1i6dCn+8Y9/oKCgAH/+8589XSoRERH5AI+Hl69//etoaGjAM888g7q6OmRlZWH79u3uSbnV1dVQKi9dAJo1axbeffddPP300/jJT36CsWPHYvPmzZg8ebKnSyUiIiIf4PHwAgCPPfYYHnvssSse27t37+fG8vLykJeX5+GqiIiIyBf5/GojIiIiGlkYXoiIiMinMLwQERGRT2F4ISIiIp/C8EJEREQ+heGFiIiIfArDCxEREfkUhpcb5HIBLpdL7jKIiIhGLIaX6xSoGnir2u39WPyHA9hSbEG/wylzVURERCMPw8t1EqKC8X/mj0WoWoXSunb84B/FmPfbffjbkQvo6XPIXR4REdGIwfBynRQKBVbfPg6HnpqPJ24fh+hQNaqbu/D05lO45Td7sG5fBdp7+uQuk4iIyO8xvNwgbUggvj9/LA7+eC5+dtdEJEcGo6Hdjl99VIpZv9qNFz4uRWOHXe4yiYiI/BbDy5cUog7AvbNTsPfJXLyYl4n0uDC09/Tj1T0VmP2r3XhmyymYm7vkLpOIiMjvMLx8RYEqJQyigE8evxWvfUtEpj4S9n4n3j58Abkv7sUP3ytGWV273GUSERH5jQC5C/AXSqUCCycl4I6J8Thc2YQ/7a3AgXON2FRkwaYiCxZMiMMjuekQR0fJXSoREZFPY3gZYgqFArPSYjErLRYnpTb8aV85PjpVh51nrNh5xorpKdH4Xm4abhung0KhkLtcIiIin8Pw4kFTBC3+5xsiKhs68Nq+SmwsknCsqhnHqpoxMTECj+SmYcmURKiUDDFERETXi3NehkGqLgy/NkzFgR/Nw3fmpCBErcLpWhu+//cizPvtXrx7tBr2fu4VQ0REdD0YXoZRgjYIT985EYeemocfLhiHqJBAXGjqwk82ncQtv96D1/ZVoMPeL3eZREREXo3hRQaRIWr8YMFYfPrUPDxz50QkaoNgbbdj7UelmLV2F178uAxN3CuGiIjoihheZBSiDsD9c1Kw78m5eMEwFWm6UNh6+vHHPeWY/evdeHbLKUgt3CuGiIjoXzG8eAF1gBJ5OXrs+OFtWPdNEZmCFj19Trx1+AJyX9iL1f8sxtl67hVDREQEcLWRV1EqFVg0OQELJ8XjcEUT/mdvBQ6WN2JjoQUbCy24fWI8HslNQ/Yo7hVDREQjF8OLF1IoFJiVHotZ6bE4bm7Fun0V2F5Shx2n67HjdD1uTo3GI7npuHVsLPeKISKiEYfhxctl6iPxp2+KKLd24M/7K7CpyIIjlc04UnkMk5Mj8Mht6Vg0OYF7xRAR0YjBOS8+Ij0uDL8xZGLfk3PxwJwUBAeqcMpiw6PvFmLB7/bhH8e4VwwREY0MDC8+JikyGD8d3CvmB/PHIjIkEFWNnXhq40mMf3o7cn65A1WNnXKXSURE5DEMLz4qKlSNH94+Dp/+eB6eXjrBPd7Y0Yu5L+7FfW8ew9YTtbwaQ0REfodzXnxcqCYA37klFQZRwANvFcB0oQUAsKesAXvKGqANDsSyrCQYRAFTkrWc4EtERD6P4cVPRIaoseGRWQCAyoYObCiUsLHQgtq2Hrx9+ALePnwB4+PDYRAFLJ+WDF24RuaKiYiIvhyFy+VyyV3EULLZbNBqtWhra0NERITc5cjK4XTh0/JGGE0StpfUobffCQBQKRWYO14Hg6jHvIw4qAPYPSQioi92rKoZX3vtMFJ1odj9RO6Qfu8b+fzmlRc/plIqcOs4HW4dp0Nbdx8+PFGD/AIJxeZW7Dxjxc4zVkSHqt1tpUlJWrlLJiIi+kIMLyOENjgQ35gxGt+YMRrl1nbkmyRsKrTA2m7Hm5+ex5ufnsfExAgYRAHLspIQE8a2EhEReSe2jUawfocTB8obYSyQsON0PXodA22lQJUC8zLiYBD1yB2vQ6CKbSUiImLbiLxAgEqJuePjMHd8HFq7evH+8RoYTRJOSG34uKQeH5fUIzZMjeVZycjL0WN8QrjcJRMRETG80IDIEDW+PXMMvj1zDErrbNhgkrCpyILGjl68frAKrx+swpRkLfJyBNydmYTIELXcJRMR0Qjl0X5Ac3MzvvGNbyAiIgKRkZF44IEH0NHRcc3n5ObmQqFQXPb18MMPe7JM+jcZCRH4f0sn4vCa+Xj92zlYOCkeAUoFTlra8MyWEkx/fhcefacQe0qt6B9sNREREQ0Xj155+cY3voHa2lrs2LEDfX19uO+++/DQQw/h3XffvebzHnzwQfz85z93Pw4JCfFkmXQVgSolFkyMx4KJ8WjqsOP94wOrlU7X2rD1ZC22nqxFXLgG92QnI08UkB7HthIREXmex8LLmTNnsH37dnz22WfIyckBALzyyitYsmQJXnzxRSQlJV31uSEhIUhISPBUafQlxIRpcN/sFNw3OwUlNW0wmiRsKa6Btd2O1/ZV4rV9lcjSR8IgCrgrMwna4EC5SyYiIj/lsbbR4cOHERkZ6Q4uALBgwQIolUocPXr0ms995513EBsbi8mTJ2PNmjXo6uryVJn0JUxK0uLZuybhyJr5WPdNEQsmxEOlVKDY3IqnN5/CTc/vxPf/XoT9ZxvgcPrVYjYiIvICHrvyUldXh7i4uMtfLCAA0dHRqKuru+rz/uu//gujR49GUlISTpw4gR//+McoKyvDxo0br3i+3W6H3W53P7bZbEPzP0BfSB2gxKLJCVg0OQEN7XZsKbYgv0BCWX07Pjhegw+O1yBRG4QV2clYmS0gVRcmd8lEROQHbji8PPXUU/j1r399zXPOnDnzpQt66KGH3P89ZcoUJCYmYv78+aioqEBaWtrnzl+7di2ee+65L/16NDR04Rp855ZUPDAnBacsNuSbzNhSXIPath68uqcCr+6pQM7oKBhEAUunJiI8iG0lIiL6cm54k7qGhgY0NTVd85zU1FT87W9/wxNPPIGWlhb3eH9/P4KCgpCfn4977rnnul6vs7MTYWFh2L59OxYuXPi541e68qLX67lJnRew9zuw64wV+QVm7DvbgIsdpKBAJRZPToRBFDAzNQZKJe90TUTkC3x2kzqdTgedTveF582cOROtra0wmUwQRREAsHv3bjidTsyYMeO6X6+4uBgAkJiYeMXjGo0GGg23svdGmgAVlkxJxJIpibDaerCxyIL8AjMqGjqxqciCTUUWJEcGY2V2MlaKAkbHhMpdMhER+QCP3h5g8eLFqK+vx7p169xLpXNyctxLpS0WC+bPn4+3334b06dPR0VFBd59910sWbIEMTExOHHiBH74wx9CEATs27fvul6Ttwfwbi6XC8XmVhhNEt4/XoP2nn73sekp0QNtpSmJCNVw/0QiIm/js1debsQ777yDxx57DPPnz4dSqcTKlSvx8ssvu4/39fWhrKzMvZpIrVZj586deOmll9DZ2Qm9Xo+VK1fi6aef9mSZNIwUCgWmjYrCtFFR+OmdE/HJ6XrkF5hxsLwRx6qacayqGT97vwSLJyciL0fA9DHRbCsREdFleGNG8gq1bd3YWGiB0SShqrHTPa6PDoYhW48V2cnQR3OzQiIiOY2IKy9E1ytRG4xH56bje7lpKKxuQX6BhA9P1MLc3I3f7zyL3+88i1lpMTCIAhZPTkSwWiV3yUREJBOGF/IqCoUC4uhoiKOj8exdk7C9pBZGk4RDFU3ur2e2lGDplIG2kjg6CgoF20pERCMJwwt5rWC1CvdME3DPNAFSS5e7rVTd3IX3Csx4r8CMMTEhMIgCVmQLSIoMlrtkIiIaBgwv5BOEqBD8n/lj8f156ThW1QyjScLWk7U439SFFz85i9/uOIs56bEwiAIWTkpAUCDbSkRE/orhhXyKQqHAjNQYzEiNwc/unoSPTtUhv8CMo1XNOHCuEQfONSI8KAB3ZSbBIAqYpo9kW4mIyM8wvJDPCtUEwCAKMIgCqpu6YCyUsMEkwdLajXePVuPdo9VI04XCIA6sVoqPCJK7ZCIiGgIML+QXRsWEYPXt4/D4/LE4UtkEo0nCtlO1qGjoxK+3l+KFj0tx6zgdDKKABRPi2VYiIvJhDC/kV5RKBWalx2JWeiyeWzYJ204OrFb67HwL9pY1YG9ZA7TBgbg7Mwl5OQKmJGvZViIi8jEML+S3woMC8fWbRuHrN41CVWMnNpgkbCiUUNvWg78euYC/HrmAcfFhyBP1WDYtCXHhbCsREfkC7rBLI4rD6cKhikbkF0j4uKQO9n4nAEClVGDu+IG20ryMeKgDlDJXSkTkfbjDLpEMVEoFbhmrwy1jdWjr7sPWE7XIN5lRVN2KnWes2HnGiqiQQCzLSoZBFDA5WSt3yURE9G8YXmjE0gYH4r9mjMJ/zRiFcmsHjCYJGwslWNvtWH/oPNYfOo8JiREwiAKWZyUhJkwjd8lERAS2jYgu0+9w4kB5I4wmCTtK6tHrGGgrBSgVmJcRh7wcPXLH6xCoYluJiEYeto2IvFCASom54+Mwd3wcWrt68cHxGuSbJJyQ2vDJ6Xp8croesWFqLM9KhiFHQEYCAzIR0XBjeCG6isgQNb41cwy+NXMMyuraYTSZsanIgsaOXrx+sAqvH6zClGQtDKKAuzOTEBWqlrtkIqIRgeGF6DqMTwjH/1s6ET9alIH9ZxuQXyBhV2k9TlracNLShue3nsGCiXEwiAJuHatDANtKREQew/BCdAMCVUrMnxCP+RPi0dzZiy3FA3e6LqmxYdvJOmw7WQdduAYrpg2sVhobHy53yUREfofhhehLig5V477ZKbhvdgpO19hgNEnYXGxBQ7sdr+2vxGv7K5Gpj0SeKOCuqUnQhgTKXTIRkV9geCEaAhOTIvBM0kQ8tTgDe8qsyC+QsKfMiuPmVhw3t+LnH57GwkkJMIgC5qTHQqXkLQmIiL4shheiIaQOUGLhpAQsnJSAhna7u61UWteOD47X4IPjNUiICMKK7IG2UqouTO6SiYh8DsMLkYfowjX4zi2peGBOCkpqbMgvMGPL8RrU2XrwP3sr8D97KyCOjoJBFHDn1ESEB7GtRER0PRheiDxMoVBgcrIWk5O1+MnSCdh1xgqjScLeMitMF1pgutCC5z4owaJJCcjL0WNmagyUbCsREV0VwwvRMNIEqLBkSiKWTEmE1daDTUUW5JsklFs7sLm4BpuLa5AcGYyV2clYKQoYHRMqd8lERF6H4YVIJnERQfjubWl46NZUHJfaYDSZ8X5xDSyt3Xh5dzle3l2O6SnRMIgClkxJRJiGP65ERADDC5HsFAoFsvSRyNJH4umlE7HjdD3yTRIOnGvAsapmHKtqxs/eL8HiyYkwiAJmpESzrUREIxrDC5EXCQpU4a7MJNyVmYTatm5sLLRgg0lCZWMnNhRK2FAoQR8djJXZAlZmC9BHh8hdMhHRsGN4IfJSidpgPDo3Hd/LTUNhdQuMJgkfHK+FubkbL+08h5d2nsPM1BgYRAGLpyQgRM0fZyIaGfjbjsjLKRQKiKOjIY6OxjN3TsLHJXXIN5lxqKIJhysHvp7ZcgpLpyYiL0ePnNFRUCjYViIi/8XwQuRDgtUqLJ+WjOXTkiG1dGFToQXGQgkXmrrwzwIJ/yyQMCYmBAZRwIpsAUmRwXKXTEQ05BheiHyUEBWC788fi8fmpeOz8y3ILzBj68lanG/qwoufnMVvd5zFnPRYGEQBCyclIChQJXfJRERDguGFyMcpFApMT4nG9JRo/OzuSfjoVB2MJjOOVDbjwLlGHDjXiHBNAO7MTIJBFJA9KpJtJSLyaQwvRH4kVBMAgyjAIAowN3fBaJJgNEmwtHbj78eq8fdj1UjVhcIgDqxWio8IkrtkIqIbxvBC5Kf00SH44e3j8IP5Y3GkqglGk4SPTtahsqETv9lehhc/LsMtY3XIyxGwYEI820pE5DMYXoj8nFKpwKy0WMxKi8XPl/Vj24la5JvM+Ox8C/adbcC+sw3QBgfi7sG20lRBy7YSEXk1hheiESRME4Cv3aTH127S4/zFje9MEmraevDXIxfw1yMXMC4+DAZRwPJpyYgLZ1uJiLyPwuVyueQuYijZbDZotVq0tbUhIiJC7nKIvJ7D6cLhiibkm8zYfqoO9n4nAEClVCB3nA4GUcD8CfFQByhlrpSI5Hasqhlfe+0wUnWh2P1E7pB+7xv5/OaVF6IRTqVUYM7YWMwZGwtbTx8+PF4Lo8mMwupW7Cq1YlepFVEhgViWlQyDKGBSUgTbSkQkK4/9KfX8889j1qxZCAkJQWRk5HU9x+Vy4ZlnnkFiYiKCg4OxYMECnDt3zlMlEtG/iQgKxH/NGIWN35uNnatvwyO5aYiP0KClqw/rD53Hna8cxOI/HMBfDlahqcMud7lENEJ5LLz09vYiLy8PjzzyyHU/5ze/+Q1efvllrFu3DkePHkVoaCgWLlyInp4eT5VJRFeRHheGHy/KwKGn5mP9fTdh6dREqFVKlNa14xcfnsaM/96Fh94uwCcldehzOOUul4hGEI+1jZ577jkAwPr166/rfJfLhZdeeglPP/00li1bBgB4++23ER8fj82bN+M//uM/PFUqEV2DSqlA7vg45I6PQ2tXLz44UQtjgRnHpTZ8croen5yuR0yoGsunDbSVJiRyrhkReZbXzHmpqqpCXV0dFixY4B7TarWYMWMGDh8+fNXwYrfbYbdfunxts9k8XivRSBUZosa3bh6Nb908Gmfr22E0SdhYaEFjhx1/OViFvxyswuTkCBiyBSzLSkZUqFrukonID3nN8oG6ujoAQHx8/GXj8fHx7mNXsnbtWmi1WveXXq/3aJ1ENGBcfDh+smQCjqyZh7+sysHiyQkIVClwymLDzz44jen/vROP/M2E3aX16GdbiYiG0A2Fl6eeegoKheKaX6WlpZ6q9YrWrFmDtrY295fZbB7W1yca6QJUSsyfEI8/fVPE0Z8swM/umohJSRHoc7jw0ak63L++ADN/tRtrt53Bufp2ucslIj9wQ22jJ554Avfee+81z0lNTf1ShSQkJAAA6uvrkZiY6B6vr69HVlbWVZ+n0Wig0Wi+1GsS0dCKDlXj3tkpuHd2Ck7X2LChUMLmIgsa2u14bX8lXttfiUx9JAyigLunJkEbEih3yUTkg24ovOh0Ouh0Oo8UkpKSgoSEBOzatcsdVmw2G44ePXpDK5aIyDtMTIrAxKSJ+PGiDOwtsyLfJGFPqRXHza04bm7FLz48jTsmxsMgCrhlrA4qJfeOIaLr47EJu9XV1WhubkZ1dTUcDgeKi4sBAOnp6QgLCwMAZGRkYO3atbjnnnugUCjw+OOP45e//CXGjh2LlJQU/PSnP0VSUhKWL1/uqTKJyMPUAUrcMSkBd0xKQGOHHZuLLDCaJJTWtePDE7X48EQt4iM0WJE9cDfsNF2Y3CUTkZfzWHh55pln8NZbb7kfT5s2DQCwZ88e5ObmAgDKysrQ1tbmPudHP/oROjs78dBDD6G1tRVz5szB9u3bERTE+6sQ+YPYMA2+c0sqHpiTgpIaG4wmCZuLLai32fGnvRX4094KZI+KRF6OHkunJiIiiG0lIvo83tuIiGRl73dg95mBttK+sw1wOAd+JQUFKrFoUgIMoh6z0mKgZFuJSHa8txEREQBNgAqLpyRi8ZREWG092FxsQX6BhHPWDmwursHm4hokaYOwUhSwMlvAmNhQuUsmIpkxvBCR14iLCMJDt6bhwVtScUJqQ77JjPeLa1DT1oNXdpfjld3lmD4mGgZRwJKpiQjT8FcY0UjEn3wi8joKhQKZ+khk6iPx9NKJ2HG6HkaThAPnGnDsfDOOnW/Gs++XYPGUBOSJesxIiWZbiWgEYXghIq8WFKjCXZlJuCszCXVtPdhYJMFYIKGysRMbCy3YWGiBPjoYK7MH2kr66BC5SyYiD2N4ISKfkaANwvdy0/HIbWkorG6F0SThw+M1MDd346Wd5/DSznOYmRoDgyhg8ZQEhKj5K47IH/Enm4h8jkKhgDg6CuLoKDxz50R8croO+QUSPq1oxOHKJhyubMIzW05h6dREGEQ9bhoTBYWCbSUif8HwQkQ+LVitwrKsZCzLSoaltRsbTRKMhRIuNHXhnwUS/lkgYXRMCAzZAlaIApIjg+UumYi+IoYXIvIbyZHB+P78sXhsXjoKLrQgv8CMrSdqcaGpC7/dcRa/23kWs9NikZcj4I6JCQhWq+QumYi+BIYXIvI7CoUCN42Jxk1jovGzuyfho5N1MJokHK5swsHyRhwsb0S4JgB3Zg60lbJHRbKtRORDGF6IyK+FqAMGNrgTBZibu7ChUILRJEFq6cbfj5nx92NmpOpCYRAFrJgmIEHL25EQeTuGFyIaMfTRIXh8wTj8n3ljcbSqGfkmMz46WYfKhk78ZnsZXvy4DLeM1cEgCrh9YjyCAtlWIvJGDC9ENOIolQrMTIvBzLQY/HxZP7adqIXRJOHY+WbsO9uAfWcbEBEUgLuzkmAQ9cgUtGwrEXkRhhciGtHCNAH42k16fO0mPc43dmJDoYQNJgk1bT3425Fq/O1INcbGhcEgCrgnOxlx4WwrEcmNd5UmIvo3TqcLhyqaYDSZ8dGpOtj7nQAAlVKB28bpkCcKmDchDpoAtpVoZOFdpYmIvJRSqcCcsbGYMzYWP+/pw9YTtcgvMKOwuhW7S63YXWpFZEgglmclwyAKmJQUwbYS0TBieCEiuoaIoED85/RR+M/po1DR0IENJgkbCy2os/Vg/aHzWH/oPDISwmEQBSyflozYMI3cJRP5PbaNiIhukMPpwsHyRuQXmPHJ6Xr0DraVApQKzM2Ig0EUMC8jDoEqpcyVEg0tto2IiHzUxbkvt43Toa2rD++fqIHRJOG4uRU7Ttdjx+l6xISqsSwrGXk5AiYk8g8poqHE8EJE9BVoQwLxrZtH41s3j8bZ+vaBtlKRBQ3tdrzxaRXe+LQKk5IikCcKuDsrGdGharlLJvJ5DC9ERENkXHw41iyZgCcXjsf+cw0wmiTsOF2PkhobSmpO4/ltZ7BgQjwMooDbxukQwLYS+ZhOez8AyL7SjuGFiGiIBaiUmJcRj3kZ8Wjp7MX7x2uQbzLjlMWGj07V4aNTdYgN02BF9sBqpXHx4XKXTHRdKho6AACpsaGy1sHwQkTkQVGhaqyaNQarZo3BmVobjCYJm4ssaOyw48/7K/Hn/ZXIFLQwiALuzkyGNiRQ7pKJrqqioRMAkKpjeCEiGhEmJEbgp3dOxFOLM7Cn1AqjScLuUiuOS204LrXhFx+ewe2T4pEnCrhlrA4qJfeOIe9y8cpLmi5M1joYXoiIhlmgSok7JiXgjkkJaOywY0txDfILzCita8fWE7XYeqIW8REarMgWYBAF2T8oiC6q9JLwwn1eiIi8gMvlQknNQFtpS7EFLV197mPZoyJhEPW4MzMREUFsK5E8Wrt6kfXzHQCAkucWIlQztNc/uM8LEZGPUSgUmJysxeRkLdYsGWgr5RdI2Hu2AYXVrSisbsVzH5Rg0eQEGEQBs9Ji2VaiYXVxvkuiNmjIg8uNYnghIvIymgAVFk1OxKLJibC292BzkQX5BRLOWTuwpbgGW4prkKQNcreVxsi88oNGBm+Z7wIwvBARebW48CA8dGsaHrwlFSekNndbqaatB3/cU44/7inHTWOikCfqsWRqIsJk/ouY/Nel8CJ/WOa/ciIiH6BQKJCpj0SmPhL/b+kE7DxTD6NJwv6zDfjsfAs+O9+CZ98vweIpA22lm1NioGRbiYZQhXWgbZQWxysvRER0g4ICVbhzahLunJqEurYebCqyIN9kRmVDJzYWWrCx0AIhKhgrB9tK+ugQuUsmP+AtK40ArjYiIvILLpcLReZW5BdI+PB4DdoHt3EHgJtTo2EQ9VgyJQEhav7NSjeut9+JCc9sh8PpwpE185GgDRry17iRz2+GFyIiP9PT58DHJXUwmiQcLG/Exd/yoWoVlkxJRF6OHjeNiYJCwbYSXZ9yazsW/G4/QtUqnHpuoUf+7XCpNBHRCBYUqMKyrGQsy0qGpbUbmwolGE0Szjd1Id8kId8kYXRMCAzZAlaIApIjg+Uumbxc+b/Md/GG0MvwQkTkx5Ijg/HYvLF4dG46Ci60wFgg4cMTNbjQ1IXf7jiL3+08i9lpsTCIAhZOSkCwWt67BZN38qZl0gDDCxHRiKBQKHDTmGjcNCYaz949EdtP1SG/QMLhyiYcLG/EwfJGhGsCcGdmIgyigOxRbCvRJd60TBpgeCEiGnFC1AFYkS1gRbYAc3MXNhRK2FAowdzcjb8fM+Pvx8xIjQ3FSlHAymzBI5Mzybdc3F3XW668KD31jZ9//nnMmjULISEhiIyMvK7n3HvvvVAoFJd9LVq0yFMlEhGNeProEDy+YBz2/d+5+MdDN2NltoDgQBUqGzvxwsdlmPWrXfj2G8fwwfEa9PQ55C6XZOByuVBpHbzy4gV7vAAevPLS29uLvLw8zJw5E3/5y1+u+3mLFi3Cm2++6X6s0Wg8UR4REf0LpVKBm1NjcHNqDJ5bNgnbTtbCaJJwrKoZ+882YP/ZBkQEBeCuzCTk5eiRKWjZVhohGtrtaLf3Q6kARsd4x55BHgsvzz33HABg/fr1N/Q8jUaDhIQED1RERETXI0wTgK/l6PG1HD0uNHVig0nChkILLK3deOdoNd45Wo2xcWEwiALumZaMuAi2lfxZ+eB8l1HRIdAEeMeEbo+1jb6svXv3Ii4uDuPHj8cjjzyCpqama55vt9ths9ku+yIioqExOiYUq+8YjwM/mot3vjMD90xLRlCgEuesHVj7USlm/mo37l//GbadrIW9n20lf+Rt810AL5uwu2jRIqxYsQIpKSmoqKjAT37yEyxevBiHDx+GSnXltLd27Vr3VR4iIvIMpVKB2emxmJ0eO9BWOlGLfJME04UW7C61YnepFZEhgViWmQSDqMfk5Ai2lfxEhZfNdwFucIfdp556Cr/+9a+vec6ZM2eQkZHhfrx+/Xo8/vjjaG1tveHiKisrkZaWhp07d2L+/PlXPMdut8Nut7sf22w26PV67rBLRDQMKhs6YDRJ2FhoQZ2txz2ekRAOgyhg+bRkxIZx7qIv+9ZfjuLAuUb8euUUfP2mUR57HY/tsPvEE0/g3nvvveY5qampN/Itv/B7xcbGory8/KrhRaPRcFIvEZFMUnVh+NGiDDxxx3gcLG+E0STh45I6lNa145dbz+BXH5Uid3wc8nIEzB0fB3WA181WoC9Q6ettI51OB51O56laPkeSJDQ1NSExMXHYXpOIiG6cSqnAbeN0uG2cDm1dffjgRA3yTRKOm1ux80w9dp6pR3SoGsuzkmEQBUxM4pVxX9DV2w9LazcA7wovHovA1dXVKC4uRnV1NRwOB4qLi1FcXIyOjg73ORkZGdi0aRMAoKOjA08++SSOHDmC8+fPY9euXVi2bBnS09OxcOFCT5VJRERDTBsSiG/ePBpbHp2NHT+8Fd+9LRW6cA2aO3vxxqdVWPLyASx9+QDe/LQKzZ29cpdL13Dxqkt0qBpRoWqZq7nEYxN2n3nmGbz11lvux9OmTQMA7NmzB7m5uQCAsrIytLW1AQBUKhVOnDiBt956C62trUhKSsIdd9yBX/ziF2wLERH5qLHx4VizeAKevGM8DpxrRL7JjJ2nrSipsaGk5jT+e9sZzM+Ih0EUkDtehwAV20rexNtuC3DRDU3Y9QU3MuGHiIiGX0tnL94/XgOjScJJS5t7PDZMg3umDWyCNy4+XMYK6aLf7TiLl3edw3/cpMevVk716Gt5bMIuERHRVxUVqsaqWWOwatYYlNbZYCyQsLnYgsYOO/73QBX+90AVpgpa5IkC7spMQmSI97QrRhpvu5v0RbzyQkREsutzOLG3rAFGkxm7zljR7xz4aFKrlLh90kBb6Zb0WLaVhtmil/ajtK4db9ybg3kZ8R59LV55ISIinxKoUuL2ifG4fWI8mjrs2FI8sFrpTK0NW0/UYuuJWsRHaHDPNAEGUUC6F22Y5q8cTheqGr1vmTTAKy9EROTFSmrakF8gYUuxBS1dfe7xaaMiYRAF3Dk1CdrgQBkr9E9Opws7z9Tjob+aoFYpceYXi6BSenbH5Bv5/GZ4ISIir9fb78Tu0noYTRL2lDXAMdhW0gQosXBSAvJyBMxKi/X4B6y/Mzd3wWiSsKFQgtQysL/LlGQtPvj+HI+/NsMLwwsRkd+ytvdgS1EN8k1mnK2/tHdYojYICyclYF5GHGakRnvNHZC9XVdvPz46WYd8kxlHKpvd4+GaANyZmYQHb0lB6jC0jRheGF6IiPyey+XCSUsbjCYJW4pr0NZ9qa0UolZhdnos5mXEYe74OCRog2Ss1Pu4XC58dr4F+QVmbDtZi87egTuCKxTAnPRYGEQBd0xMQLB6+AIgwwvDCxHRiNLT58C+sw3YfcaKPWVWWNvtlx2fmBgxEGQy4pCljxyx7SVLazc2miQYCyVcaOpyj4+JCYFBFHBPtoDkyGBZamN4YXghIhqxnE4XTtfasLvUit2lVhyXWvGvn3TRoWrcNk6HeRlxuHWczu8n/Hb3OvBxSR2MJgmfVjS634tQtQpLpyYiL0ePnNFRUCjkDXQMLwwvREQ0qLHDjn1lDdhdZsX+sw1o7+l3H1MpFRBHR2FeRhzmZcRhbFyY7B/iQ8HlcqGwugVGk4QPj9ei3X7p/3lmagwMooDFUxIQovaeHVMYXhheiIjoCvocTpgutGDP4FWZc9aOy44nRwYPtpd0mJUWi6BA35r0W9fWgw2FEjaYJFQO7tECAEJUMAyigJXZAvTRITJWeHUMLwwvRER0HczNXdhTNhBkDlU0obff6T6mCVBiVlqMe66MEOWdH/o9fQ7sOF2PfJOEg+caMLiKHMGBKiyZkgiDKGBGSjSUXj7Ph+GF4YWIiG5Qd68DhyoasbvUij2lVtS09Vx2fFx8GOZlxGNeRhyyR0XKeqsCl8uF41Ib8gvM+OB4DWz/0gqbPiYahhwBS6YkIkzjPW2hL8LwwvBCRERfgcvlQll9uzvImC60uK9oAIA2OBC3jtNhXoYOt42LQ3To8Nw80mrrwaYiC4wm6bKWV5I2CCsH20JjYkOHpZahxvDC8EJEREOotasX+842YE+pFXvPNqD1X25VoFAA0/SR7vbSxMSIIZ30a+93YNcZK/ILzNh39lJbSBOgxOLJCTCIesxKi/H6ttAXYXhheCEiIg9xOF0oNrcMLsVuwJla22XHEyKCMDdDh7nj4zA7PRahX6J143K5cMpig9FkxpbjNZeFJXF0FAyigKVTExER5D/LvBleGF6IiGiY1LZ1Y09pA3aXWvFpeSO6+xzuY2qVEjNSozF3/MBS7C9q6TR22LF5sC1UWtfuHk+ICMKK7GSsFAWvu8PzUGF4YXghIiIZ9PQ5cLSq2b0Uu7q567LjqbpQzBsMMjljoqEOUKK334k9ZVbkF0jYW2ZF/2BfSB2gxB0T45GXo8ecdP+/6STDC8MLERHJzOVyoaKh0x1kPjvf7A4mABCmCUDOmCickNrQ3NnrHs/UR8IgCrh7ahK0If7TFvoiDC8ML0RE5GVsPX04eG5gKfbeMisaOy4FFl24BiumJcMgChgbHy5jlfK5kc9v31kATkRE5MMiggKxZEoilkxJhNM5cEfsz843I1UXilvH6mTdN8bXMLwQERENM6VSgUx9JDL1kXKX4pMY84iIiMinMLwQERGRT2F4ISIiIp/C8EJEREQ+heGFiIiIfArDCxEREfkUhhciIiLyKQwvRERE5FMYXoiIiMinMLwQERGRT2F4ISIiIp/C8EJEREQ+heGFiIiIfIrf3VXa5XIBAGw2m8yVEBER0fW6+Ll98XP8WvwuvLS3twMA9Hq9zJUQERHRjWpvb4dWq73mOQrX9UQcH+J0OlFTU4Pw8HAoFAq5y/lCNpsNer0eZrMZERERcpfjdfj+XBvfn6vje3NtfH+uju/NtXnq/XG5XGhvb0dSUhKUymvPavG7Ky9KpRKCIMhdxg2LiIjgD8k18P25Nr4/V8f35tr4/lwd35tr88T780VXXC7ihF0iIiLyKQwvRERE5FMYXmSm0Wjw7LPPQqPRyF2KV+L7c218f66O78218f25Or431+YN74/fTdglIiIi/8YrL0RERORTGF6IiIjIpzC8EBERkU9heCEiIiKfwvDipex2O7KysqBQKFBcXCx3OV7h7rvvxqhRoxAUFITExER861vfQk1NjdxleYXz58/jgQceQEpKCoKDg5GWloZnn30Wvb29cpfmFZ5//nnMmjULISEhiIyMlLsc2b366qsYM2YMgoKCMGPGDBw7dkzukrzC/v37cddddyEpKQkKhQKbN2+WuySvsXbtWtx0000IDw9HXFwcli9fjrKyMtnqYXjxUj/60Y+QlJQkdxleZe7cufjnP/+JsrIybNiwARUVFTAYDHKX5RVKS0vhdDrx2muvoaSkBL///e+xbt06/OQnP5G7NK/Q29uLvLw8PPLII3KXIrv33nsPq1evxrPPPovCwkJkZmZi4cKFsFqtcpcmu87OTmRmZuLVV1+VuxSvs2/fPjz66KM4cuQIduzYgb6+Ptxxxx3o7OyUpyAXeZ1t27a5MjIyXCUlJS4ArqKiIrlL8kpbtmxxKRQKV29vr9yleKXf/OY3rpSUFLnL8CpvvvmmS6vVyl2GrKZPn+569NFH3Y8dDocrKSnJtXbtWhmr8j4AXJs2bZK7DK9ltVpdAFz79u2T5fV55cXL1NfX48EHH8Rf//pXhISEyF2O12pubsY777yDWbNmITAwUO5yvFJbWxuio6PlLoO8SG9vL0wmExYsWOAeUyqVWLBgAQ4fPixjZeRr2traAEC23zEML17E5XLh3nvvxcMPP4ycnBy5y/FKP/7xjxEaGoqYmBhUV1djy5YtcpfklcrLy/HKK6/gu9/9rtylkBdpbGyEw+FAfHz8ZePx8fGoq6uTqSryNU6nE48//jhmz56NyZMny1IDw8sweOqpp6BQKK75VVpaildeeQXt7e1Ys2aN3CUPm+t9by568sknUVRUhE8++QQqlQrf/va34fLjTaJv9P0BAIvFgkWLFiEvLw8PPvigTJV73pd5b4joq3v00Udx6tQp/OMf/5CtBt4eYBg0NDSgqanpmuekpqbia1/7Gj744AMoFAr3uMPhgEqlwje+8Q289dZbni512F3ve6NWqz83LkkS9Ho9Dh06hJkzZ3qqRFnd6PtTU1OD3Nxc3HzzzVi/fj2USv/9++TL/NtZv349Hn/8cbS2tnq4Ou/U29uLkJAQGI1GLF++3D2+atUqtLa28krmv1AoFNi0adNl7xMBjz32GLZs2YL9+/cjJSVFtjoCZHvlEUSn00Gn033heS+//DJ++ctfuh/X1NRg4cKFeO+99zBjxgxPliib631vrsTpdAIYWFbur27k/bFYLJg7dy5EUcSbb77p18EF+Gr/dkYqtVoNURSxa9cu94ey0+nErl278Nhjj8lbHHk1l8uF73//+9i0aRP27t0ra3ABGF68yqhRoy57HBYWBgBIS0uDIAhylOQ1jh49is8++wxz5sxBVFQUKioq8NOf/hRpaWl+e9XlRlgsFuTm5mL06NF48cUX0dDQ4D6WkJAgY2Xeobq6Gs3NzaiurobD4XDvnZSenu7+ORspVq9ejVWrViEnJwfTp0/HSy+9hM7OTtx3331ylya7jo4OlJeXux9XVVWhuLgY0dHRn/v9PNI8+uijePfdd7FlyxaEh4e750hptVoEBwcPf0GyrHGi61JVVcWl0oNOnDjhmjt3ris6Otql0WhcY8aMcT388MMuSZLkLs0rvPnmmy4AV/wil2vVqlVXfG/27Nkjd2myeOWVV1yjRo1yqdVq1/Tp011HjhyRuySvsGfPniv+O1m1apXcpcnuar9f3nzzTVnq4ZwXIiIi8in+3RQnIiIiv8PwQkRERD6F4YWIiIh8CsMLERER+RSGFyIiIvIpDC9ERETkUxheiIiIyKcwvBAREZFPYXghIiIin8LwQkRERD6F4YWIiIh8CsMLERER+ZT/DyNZotPfZ7w0AAAAAElFTkSuQmCC",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# apply Chaikin's algorithm to the template - corner cuttine\n",
"def chaikin(arr, iterations):\n",
" if iterations == 0:\n",
" return arr\n",
" l = len(arr)\n",
" smoothed = []\n",
" for i in range(l):\n",
" x1, y1 = arr[i]\n",
" x2, y2 = arr[(i+1)%l]\n",
" smoothed.append([0.9*x1 + 0.1*x2,0.9*y1 + 0.1*y2])\n",
" smoothed.append([0.1*x1 + 0.9*x2,0.1*y1 + 0.9*y2])\n",
" return chaikin(smoothed, iterations - 1)\n",
"\n",
"template = chaikin(template, 2)\n",
"plt.pyplot.plot([x for x, y in template] + [template[0][0]], [y for x, y in template] + [template[0][1]]) "
]
},
{
"cell_type": "code",
"execution_count": 361,
"metadata": {},
"outputs": [],
"source": [
"# this speeds things up dramatically as we only have to compute the line intersections once\n",
"# there are probably much faster ways of doing this - we're just doing a brute force search\n",
"# for the intersections - consult algorithms from games for inspiration...\n",
"def get_template_point_cache(template):\n",
" # sweep a line from the origin through 360 degress times the number of turns in 1 degree increments\n",
" # and find the intersection points with the template shape\n",
" cache = {}\n",
" for angle in np.arange(0, 360, 1):\n",
" line = LineSegment(np.array([0, 0]), np.array([1000 * np.cos(np.deg2rad(angle)), 1000 * np.sin(np.deg2rad(angle))]))\n",
" for i in range(len(template)):\n",
" segment = LineSegment(np.array(template[i]), np.array(template[(i + 1) % len(template)]))\n",
" try:\n",
" intersection = line.intersect_line_segment(segment)\n",
" if intersection is not None:\n",
" cache[angle] = (intersection, segment)\n",
" except ValueError:\n",
" pass\n",
" return cache\n",
"\n",
"def get_points(template, turns, spacing, cache = None):\n",
" if cache is None:\n",
" cache = get_template_point_cache(template)\n",
" points = []\n",
" for angle in np.arange(0, 360 * turns, 1):\n",
" intersection, segment = cache[angle % 360]\n",
" offset = spacing * angle / 360\n",
" vector = np.array(segment.point_a) - np.array(segment.point_b)\n",
" normal = vector / np.linalg.norm(vector)\n",
" # rotate the vector 90 degrees\n",
" normal = np.array([-normal[1], normal[0]])\n",
" # move the intersection point along the normal vector by the spacing\n",
" points.append(intersection + normal * offset)\n",
" return points\n"
]
},
{
"cell_type": "code",
"execution_count": 362,
"metadata": {},
"outputs": [],
"source": [
"cache = get_template_point_cache(template)"
]
},
{
"cell_type": "code",
"execution_count": 363,
"metadata": {},
"outputs": [],
"source": [
"points = get_points(template, TURNS, SPACING, cache)"
]
},
{
"cell_type": "code",
"execution_count": 364,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<AxesSubplot: xlabel='x'>"
]
},
"execution_count": 364,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# plot the points\n",
"df = pd.DataFrame(points, columns=['x', 'y'])\n",
"df.plot.line(x='x', y='y')"
]
},
{
"cell_type": "code",
"execution_count": 366,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<AxesSubplot: xlabel='x'>"
]
},
"execution_count": 366,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"SPACING = 0.4\n",
"TURNS = 10\n",
"STATOR_RADIUS = 40\n",
"\n",
"points = [(0,0)] + get_points(template, TURNS, SPACING, cache) \n",
"\n",
"COIL_CENTER_RADIUS = STATOR_RADIUS/2\n",
"\n",
"angle_A = 0\n",
"angle_B = 120\n",
"angle_C = 240\n",
"\n",
"# roate the points by the required angle\n",
"def rotate(points, angle):\n",
" return [[x * np.cos(np.deg2rad(angle)) - y * np.sin(np.deg2rad(angle)), x * np.sin(np.deg2rad(angle)) + y * np.cos(np.deg2rad(angle))] for x, y in points]\n",
"\n",
"# move the points out to the distance at the requited angle\n",
"def translate(points, distance, angle):\n",
" return [[x + distance * np.cos(np.deg2rad(angle)), y + distance * np.sin(np.deg2rad(angle))] for x, y in points]\n",
"\n",
"coil_A = translate(rotate(points, angle_A), COIL_CENTER_RADIUS, angle_A)\n",
"coil_B = translate(rotate(points, angle_B), COIL_CENTER_RADIUS, angle_B)\n",
"coil_C = translate(rotate(points, angle_C), COIL_CENTER_RADIUS, angle_C)\n",
"\n",
"# cretae the opposite coils\n",
"coil_A_opposite = translate(rotate(points, angle_A + 180), COIL_CENTER_RADIUS, angle_A + 180)\n",
"coil_B_opposite = translate(rotate(points, angle_B + 180), COIL_CENTER_RADIUS, angle_B + 180)\n",
"coil_C_opposite = translate(rotate(points, angle_C + 180), COIL_CENTER_RADIUS, angle_C + 180)\n",
"\n",
"# plot all three coils on the same graph\n",
"df = pd.DataFrame(coil_A, columns=['x', 'y'])\n",
"ax = df.plot.line(x='x', y='y', label='Coil A', color='blue')\n",
"ax.axis('equal')\n",
"df = pd.DataFrame(coil_B, columns=['x', 'y'])\n",
"df.plot.line(x='x', y='y', ax=ax, label='Coil B', color='green')\n",
"df = pd.DataFrame(coil_C, columns=['x', 'y'])\n",
"df.plot.line(x='x', y='y', ax=ax, label='Coil C', color='red')\n",
"\n",
"df = pd.DataFrame(coil_A_opposite, columns=['x', 'y'])\n",
"df.plot.line(x='x', y='y', ax=ax, label='Coil A Opposite', color='blue')\n",
"df = pd.DataFrame(coil_B_opposite, columns=['x', 'y'])\n",
"df.plot.line(x='x', y='y', ax=ax, label='Coil B Opposite', color='green')\n",
"df = pd.DataFrame(coil_C_opposite, columns=['x', 'y'])\n",
"df.plot.line(x='x', y='y', ax=ax, label='Coil C Opposite', color='red')\n",
"\n"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3.10.7 ('venv': venv)",
"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": "3.10.7"
},
"orig_nbformat": 4,
"vscode": {
"interpreter": {
"hash": "1ce20143987840b9786ebb5907032c9c3a8efacbb887dbb0ebc4934f2ad26cb3"
}
}
},
"nbformat": 4,
"nbformat_minor": 2
}