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@Simon-L
Created March 15, 2025 12:02
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "51b02c607fab4997b6143fc0ba61b729",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"interactive(children=(FloatSlider(value=0.5, description='cutoff', max=1.0, step=0.01), FloatSlider(value=0.5,…"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "b66f00bd387348b8bf97028b155990df",
"version_major": 2,
"version_minor": 0
},
"image/png": 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",
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"\n",
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" <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
" Figure\n",
" </div>\n",
" <img 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' width=640.0/>\n",
" </div>\n",
" "
],
"text/plain": [
"Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib widget\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"import scipy.interpolate\n",
"import ipywidgets as widgets\n",
"\n",
"def lerp(a: float, b: float, t: float) -> float:\n",
" return (1 - t) * a + t * b\n",
"\n",
"z = np.array([473, 2800, 3900, 21000])\n",
"z2 = np.array([273, 280, 2100, 800])\n",
"\n",
"X = np.linspace(0, 1)\n",
"Y = np.linspace(0, 1)\n",
"X, Y = np.meshgrid(X, Y)\n",
"\n",
"interp = scipy.interpolate.LinearNDInterpolator([(0,0),(1,0),(0,1),(1,1)], z, fill_value=0)\n",
"Z0 = interp(X, Y)\n",
"\n",
"interp2 = scipy.interpolate.LinearNDInterpolator([(0,0),(1,0),(0,1),(1,1)], z2, fill_value=0)\n",
"Z0_2 = interp2(X, Y)\n",
"\n",
"fig, axes = plt.subplots(1,3)\n",
"axes[0].grid(True)\n",
"axes[1].grid(True)\n",
"\n",
"env = [np.pow(1-(x/128), 6) for x in range(128)]\n",
"env_x = [x/128 for x in range(128)]\n",
"\n",
"def myinterp(x, y, zs):\n",
" bot = lerp(zs[0], zs[2], x)\n",
" top = lerp(zs[1], zs[3], x)\n",
" return lerp(bot, top, y)\n",
"\n",
"@widgets.interact(cutoff=(0, 1, .01), envmod=(0.0, 1, .01))\n",
"def update(cutoff = 0.5, envmod=0.5):\n",
"\n",
" lndi_l, lndi_h = Z0_2[int(cutoff * 49)][int(envmod * 49)], Z0[int(cutoff * 49)][int(envmod * 49)]\n",
" myi_l, myi_h = myinterp(cutoff,envmod,z2), myinterp(cutoff,envmod,z)\n",
"\n",
" print(\"LinearNDInterpolator: {:.0f}Hz - {:.0f}Hz\".format(lndi_l, lndi_h))\n",
" print(\"myinterp: {:.0f}Hz - {:.0f}Hz\".format(myi_l, myi_h))\n",
"\n",
" axes[0].pcolormesh(X, Y, Z0)\n",
" axes[1].pcolormesh(X, Y, Z0_2)\n",
"\n",
" [l.remove() for l in axes[0].lines]\n",
" [l.remove() for l in axes[1].lines]\n",
" [l.remove() for l in axes[2].lines]\n",
"\n",
" axes[0].plot([0,cutoff],[envmod,envmod], color='red')\n",
" axes[0].plot([cutoff,cutoff],[envmod,1], color='red')\n",
"\n",
" axes[1].plot([0,cutoff],[envmod,envmod], color='red')\n",
" axes[1].plot([cutoff,cutoff],[envmod,1], color='red')\n",
"\n",
" env_lndi = [lerp(lndi_l, lndi_h, x) for x in env]\n",
" env_myi = [lerp(myi_l, myi_h, x) for x in env]\n",
" axes[2].plot(env_x, env_lndi, color='green', label=\"LinearND\")\n",
" axes[2].plot(env_x, env_myi, color='blue', label=\"myInterp\")\n",
" axes[2].legend()"
]
}
],
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"display_name": ".venv",
"language": "python",
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