122 lines
51 KiB
Plaintext
122 lines
51 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 19,
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"id": "1d08e1d3-0f62-467e-8217-9eaf458afeb4",
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"metadata": {},
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"outputs": [
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{
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"data": {
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"import numpy as np\n",
|
|
"from matplotlib import pyplot as plt\n",
|
|
"\n",
|
|
"x = np.linspace(0, 2*2.0*np.pi, 1000)\n",
|
|
"y = np.sin(x)\n",
|
|
"\n",
|
|
"\n",
|
|
"grid_bin = np.fromfile(\"../out/grid.bin\", dtype=np.float64)\n",
|
|
"plt.plot(grid_bin, np.zeros(len(grid_bin)))\n",
|
|
"grid = np.loadtxt(\"../out/grid.dat\")\n",
|
|
"plt.plot(grid, np.zeros(len(grid)), linestyle='--')\n",
|
|
"knots = np.loadtxt(\"../out/knotpoints.dat\")\n",
|
|
"order_k = 4\n",
|
|
"knots_y = np.zeros(len(knots))\n",
|
|
"y_shift = order_k-1\n",
|
|
"for i in range(order_k-1):\n",
|
|
" knots_y[i] = y_shift\n",
|
|
" y_shift = y_shift - 1\n",
|
|
"\n",
|
|
"y_shift = order_k-1\n",
|
|
"for i in range(order_k-1):\n",
|
|
" knots_y[len(knots)-1-i] = y_shift\n",
|
|
" y_shift = y_shift - 1\n",
|
|
" \n",
|
|
"plt.plot(knots, knots_y, marker='o')\n",
|
|
"\n",
|
|
"\n",
|
|
"#bspline0 = np.loadtxt(\"../out/bspline0.dat\")\n",
|
|
"#plt.plot(grid, bspline0)\n",
|
|
"#bspline1 = np.loadtxt(\"../out/bspline1.dat\")\n",
|
|
"#plt.plot(grid, bspline1)\n",
|
|
"#bspline2 = np.loadtxt(\"../out/bspline2.dat\")\n",
|
|
"#plt.plot(grid, bspline2)\n",
|
|
"#bspline3 = np.loadtxt(\"../out/bspline3.dat\")\n",
|
|
"#plt.plot(grid, bspline3)\n",
|
|
"\n",
|
|
"bsplines = np.loadtxt(\"../out/bsplines.dat\")\n",
|
|
"bspl_shape = bsplines.shape\n",
|
|
"num_rows = bspl_shape[0]\n",
|
|
"num_cols = bspl_shape[1]\n",
|
|
"for i in range(num_cols):\n",
|
|
" bspl = bsplines[:, i]\n",
|
|
" plt.plot(grid, bspl)\n",
|
|
"\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"id": "8cda5f82-13ac-4b95-aed4-f999a8dbd185",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"id": "ce5642b3-6387-45f7-aaaf-dfb9085b3d49",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"id": "c4866585-9cb8-4eb8-a8c6-0489f831c55d",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"id": "59ee4447-5513-48f4-88fc-a20b8430e15c",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
}
|
|
],
|
|
"metadata": {
|
|
"kernelspec": {
|
|
"display_name": "Python 3 (ipykernel)",
|
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"language": "python",
|
|
"name": "python3"
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|
},
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"language_info": {
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|
"codemirror_mode": {
|
|
"name": "ipython",
|
|
"version": 3
|
|
},
|
|
"file_extension": ".py",
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|
"mimetype": "text/x-python",
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|
"name": "python",
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|
"nbconvert_exporter": "python",
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|
"pygments_lexer": "ipython3",
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"version": "3.12.3"
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}
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},
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"nbformat": 4,
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"nbformat_minor": 5
|
|
}
|