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Last active August 10, 2018 15:44
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Unstructured 2D data algorithms in scipy.interpolate: results and performance
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Multivariate (N-dimensional) interpolation with `scipy.interpolate`"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[1. 0. 1. 1. 0. 1. 0. 0. 1. 0. 1. 0. 0. 1. 0. 1.]\n"
]
}
],
"source": [
"from scipy.interpolate import * # radial basis functions\n",
"import numpy as np\n",
"\n",
"# import data\n",
"x = np.random.random(16) * (8.5 - 1)\n",
"y = np.random.random(16) * (8.5 - 1)\n",
"d = np.random.choice([1., 0.], 16)\n",
"print(d)\n",
"\n",
"ti = np.arange(-1,10,0.1)\n",
"\n",
"xx, yy = np.meshgrid(ti, ti)"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"\n",
"\n",
"def plot(zz, title='', fig=None, ax=None):\n",
" import matplotlib.pyplot as plt\n",
"\n",
" cmap = cm = plt.get_cmap('magma')\n",
"\n",
" mu = zz.mean()\n",
" std = zz.std()\n",
" title = f\"{title} Mean={mu:.3f}, Std. Dev={std:.3e}\"\n",
" if ax is None:\n",
" plt.title(title)\n",
" else:\n",
" plt = ax\n",
" ax.set_title(title)\n",
" \n",
" pc = plt.pcolor(xx, yy, zz, cmap=cmap, vmin=mu-3*std, vmax=mu+3*std)\n",
" if fig is None:\n",
" plt.colorbar()\n",
" else:\n",
" fig.colorbar(pc, ax=ax)\n",
"\n",
" # Plotting the original points.\n",
" white = np.where(d==0)\n",
" black = np.where(d==1)\n",
" plt.plot(x[white], y[white], 'wo', markersize=5)\n",
" plt.plot(x[black], y[black], 'ko', markersize=5) # the original points."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Radial Basis Function"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"rf = Rbf(x, y, d, function=\"gaussian\")\n",
"zz = rf(xx, yy)\n",
"plot(zz)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Performance"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x504 with 12 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from timeit import timeit\n",
"import matplotlib.pyplot as plt\n",
"\n",
"\n",
"functions = [\n",
" \"linear\", \"cubic\", \"thin_plate\", \"gaussian\", \"inverse\",\n",
" \"multiquadric\" \n",
"]\n",
"labels = [\"rbf:\" + f for f in functions]\n",
"# Store results in\n",
"setup = dict.fromkeys(labels)\n",
"interpol = dict.fromkeys(labels)\n",
"fig, axes = plt.subplots(2, 3, figsize=(15, 7))\n",
"\n",
"for func, ax in zip(functions, axes.ravel()):\n",
" v = vars()\n",
" setup[\"rbf:\" + func] = timeit(f\"Rbf(x, y, d, function='{func}')\", number=100, globals=v)\n",
" rf = Rbf(x, y, d, function=f\"{func}\")\n",
" interpol[\"rbf:\" + func] = timeit(f\"rf(xx, yy)\", number=100, globals=v)\n",
" zz = rf(xx, yy)\n",
" plot(zz, func, fig, ax) \n",
"\n",
"fig.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Optimization"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"((2, 16, 1), (2, 1, 16), (16, 16))"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import numpy as np\n",
"\n",
"def euclidean_norm(x1, x2):\n",
"# print(x1.shape, x2.shape)\n",
"# print(x1.dtype, x2.dtype)\n",
"# print(\"x1=\", x1)\n",
"# print(\"x2=\", x2)\n",
" return np.sqrt( ((x1 - x2)**2).sum(axis=0) )\n",
"\n",
"## This doesnt work\n",
"x1 = np.random.random((2, 16))\n",
"x2 = np.random.random((2, 16))\n",
"# x1 = x1[np.newaxis, :]\n",
"# x2 = x2[np.newaxis, :]\n",
"x1 = x1[..., :, np.newaxis]\n",
"x2 = x2[..., np.newaxis, :]\n",
"\n",
"x1.shape, x2.shape, euclidean_norm(x1, x2).shape"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"%%capture --no-stderr\n",
"rf = Rbf(x, y, d, norm=euclidean_norm)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Numpy"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"\n",
"def euclidean_norm_numpy(x1, x2):\n",
" return np.linalg.norm(x1 - x2, axis=0)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"from numpy.testing import assert_array_equal\n",
"assert_array_equal(euclidean_norm(x1,x2), euclidean_norm_numpy(x1,x2))"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"417 µs ± 4.31 µs per loop (mean ± std. dev. of 7 runs, 1000 loops each)\n"
]
},
{
"data": {
"text/plain": [
"<TimeitResult : 417 µs ± 4.31 µs per loop (mean ± std. dev. of 7 runs, 1000 loops each)>"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"%%timeit -o\n",
"rf_np = Rbf(x, y, d, norm=euclidean_norm_numpy)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"setup[\"rbf:np+mv\"] = _.average\n",
"rf_np = Rbf(x, y, d, norm=euclidean_norm_numpy)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"10.2 ms ± 653 µs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n"
]
},
{
"data": {
"text/plain": [
"<TimeitResult : 10.2 ms ± 653 µs per loop (mean ± std. dev. of 7 runs, 100 loops each)>"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"%%timeit -o\n",
"zz = rf_np(xx, yy)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"interpol[\"rbf:np+mv\"] = _.average"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"417 µs ± 3.92 µs per loop (mean ± std. dev. of 7 runs, 1000 loops each)\n"
]
},
{
"data": {
"text/plain": [
"<TimeitResult : 417 µs ± 3.92 µs per loop (mean ± std. dev. of 7 runs, 1000 loops each)>"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"%%timeit -o\n",
"rf_np = Rbf(x, y, d, function=\"gaussian\", norm=euclidean_norm_numpy)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [],
"source": [
"setup[\"rbf:np+gauss\"] = _.average\n",
"rf_np = Rbf(x, y, d, function=\"gaussian\", norm=euclidean_norm_numpy)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"16.8 ms ± 235 µs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n"
]
},
{
"data": {
"text/plain": [
"<TimeitResult : 16.8 ms ± 235 µs per loop (mean ± std. dev. of 7 runs, 100 loops each)>"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"%%timeit -o\n",
"zz = rf_np(xx, yy)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [],
"source": [
"interpol[\"rbf:np+gauss\"] = _.average"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Scipy"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [],
"source": [
"# from scipy.spatial.distance import pdist\n",
"from scipy.spatial import distance_matrix\n",
"\n",
"\n",
"def euclidean_norm_scipy(x1, x2):\n",
" # return pdist(x1 - x2, 'euclidean')\n",
" return distance_matrix(x1[..., 0].T, x2[..., 0, :].T)"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"((2, 16, 1), (2, 1, 16), (16, 16))"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"x1.shape, x2.shape, euclidean_norm_scipy(x1, x2).shape"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [],
"source": [
"from numpy.testing import assert_array_equal\n",
"assert_array_equal(euclidean_norm(x1,x2), euclidean_norm_scipy(x1,x2))"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"436 µs ± 2.75 µs per loop (mean ± std. dev. of 7 runs, 1000 loops each)\n"
]
},
{
"data": {
"text/plain": [
"<TimeitResult : 436 µs ± 2.75 µs per loop (mean ± std. dev. of 7 runs, 1000 loops each)>"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"%%timeit -o\n",
"rf_sp = Rbf(x, y, d, function=\"gaussian\", norm=euclidean_norm_scipy)"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [],
"source": [
"setup[\"rbf:scipy+gauss\"] = _.average\n",
"rf_sp = Rbf(x, y, d, function=\"gaussian\", norm=euclidean_norm_scipy)"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"15.6 ms ± 177 µs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n"
]
},
{
"data": {
"text/plain": [
"<TimeitResult : 15.6 ms ± 177 µs per loop (mean ± std. dev. of 7 runs, 100 loops each)>"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"%%timeit -o\n",
"zz = rf_sp(xx, yy)"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [],
"source": [
"interpol[\"rbf:scipy+gauss\"] = _.average"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Custom `Rbf` class with no `np.newaxis` broadcasting"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"\u001b[0;31mSignature:\u001b[0m \u001b[0mRbf\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_call_norm\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mx1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mx2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;31mDocstring:\u001b[0m <no docstring>\n",
"\u001b[0;31mSource:\u001b[0m \n",
" \u001b[0;32mdef\u001b[0m \u001b[0m_call_norm\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mx1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mx2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\n",
"\u001b[0;34m\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mlen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx1\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mshape\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0;36m1\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\n",
"\u001b[0;34m\u001b[0m \u001b[0mx1\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mx1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mnewaxis\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m:\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\n",
"\u001b[0;34m\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mlen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx2\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mshape\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0;36m1\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\n",
"\u001b[0;34m\u001b[0m \u001b[0mx2\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mx2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mnewaxis\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m:\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\n",
"\u001b[0;34m\u001b[0m \u001b[0mx1\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mx1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m...\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m:\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mnewaxis\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\n",
"\u001b[0;34m\u001b[0m \u001b[0mx2\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mx2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m...\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mnewaxis\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m:\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\n",
"\u001b[0;34m\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mnorm\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mx2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;31mFile:\u001b[0m /scratch/avmo/opt/miniconda3/envs/tomo/lib/python3.6/site-packages/scipy/interpolate/rbf.py\n",
"\u001b[0;31mType:\u001b[0m function\n"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from scipy.interpolate import Rbf\n",
"\n",
"Rbf._call_norm??"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [],
"source": [
"from scipy.spatial.distance import *"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Pythranized"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [],
"source": [
"%load_ext pythran.magic"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [],
"source": [
"%%pythran\n",
"import numpy as np\n",
"\n",
"# pythran export euclidean_norm_pythran(float[][][], float[][][])\n",
"def euclidean_norm_pythran(x1, x2):\n",
" return np.sqrt( ((x1 - x2)**2).sum(axis=0) )"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [],
"source": [
"# FIXME\n",
"# rf_pythran = Rbf(x, y, d, norm=euclidean_norm_pythran)"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [],
"source": [
"# %%timeit\n",
"# zz = rf(xx, yy)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Workaround for avoiding `MemoryError` for large images"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [],
"source": [
"import dask.array as da\n",
"\n",
"rf_dask = Rbf(x, y, d)\n",
"n1 = xx.shape[1]\n",
"ix = da.from_array(xx, chunks=(5, n1))\n",
"iy = da.from_array(yy, chunks=(5, n1))\n",
"iz = da.map_blocks(rf_dask, ix, iy)"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"47.1 ms ± 806 µs per loop (mean ± std. dev. of 7 runs, 10 loops each)\n"
]
},
{
"data": {
"text/plain": [
"<TimeitResult : 47.1 ms ± 806 µs per loop (mean ± std. dev. of 7 runs, 10 loops each)>"
]
},
"execution_count": 31,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"%%timeit -o\n",
"iz.compute()"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [],
"source": [
"interpol[\"rbf:dask+mv\"] = _.average"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Dask and numpy norm"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [],
"source": [
"import dask.array as da\n",
"\n",
"rf_dask = Rbf(x, y, d, norm=euclidean_norm_numpy)\n",
"n1 = xx.shape[1]\n",
"ix = da.from_array(xx, chunks=(5, n1))\n",
"iy = da.from_array(yy, chunks=(5, n1))\n",
"iz = da.map_blocks(rf_dask, ix, iy)"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"48.2 ms ± 573 µs per loop (mean ± std. dev. of 7 runs, 10 loops each)\n"
]
},
{
"data": {
"text/plain": [
"<TimeitResult : 48.2 ms ± 573 µs per loop (mean ± std. dev. of 7 runs, 10 loops each)>"
]
},
"execution_count": 34,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"%%timeit -o\n",
"iz.compute()"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [],
"source": [
"interpol[\"rbf:dask+np+mv\"] = _.average"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Nearest neighbour"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"near = NearestNDInterpolator((x, y), d)\n",
"zz = near(xx, yy)\n",
"plot(zz)"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"95.7 µs ± 3.81 µs per loop (mean ± std. dev. of 7 runs, 10000 loops each)\n"
]
},
{
"data": {
"text/plain": [
"<TimeitResult : 95.7 µs ± 3.81 µs per loop (mean ± std. dev. of 7 runs, 10000 loops each)>"
]
},
"execution_count": 37,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"%%timeit -o\n",
"near = NearestNDInterpolator((x, y), d)"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [],
"source": [
"setup[\"near\"] = _.average"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"8.12 ms ± 302 µs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n"
]
},
{
"data": {
"text/plain": [
"<TimeitResult : 8.12 ms ± 302 µs per loop (mean ± std. dev. of 7 runs, 100 loops each)>"
]
},
"execution_count": 39,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"%%timeit -o\n",
"zz = near(xx, yy)"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {},
"outputs": [],
"source": [
"interpol[\"near\"] = _.average"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Linear"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"linear = LinearNDInterpolator((x, y), d, fill_value=0.)\n",
"zz = linear(xx, yy)\n",
"plot(zz)"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"288 µs ± 10.4 µs per loop (mean ± std. dev. of 7 runs, 1000 loops each)\n"
]
},
{
"data": {
"text/plain": [
"<TimeitResult : 288 µs ± 10.4 µs per loop (mean ± std. dev. of 7 runs, 1000 loops each)>"
]
},
"execution_count": 42,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"%%timeit -o\n",
"linear = LinearNDInterpolator((x, y), d, fill_value=0.)"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {},
"outputs": [],
"source": [
"setup[\"linear\"] = _.average"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"558 µs ± 1.91 µs per loop (mean ± std. dev. of 7 runs, 1000 loops each)\n"
]
},
{
"data": {
"text/plain": [
"<TimeitResult : 558 µs ± 1.91 µs per loop (mean ± std. dev. of 7 runs, 1000 loops each)>"
]
},
"execution_count": 44,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"%%timeit -o\n",
"zz = linear(xx, yy)"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {},
"outputs": [],
"source": [
"interpol[\"linear\"] = _.average"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Clough Tocher"
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ct = CloughTocher2DInterpolator((x, y), d, fill_value=0.)\n",
"zz = ct(xx, yy)\n",
"plot(zz)"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"403 µs ± 8.33 µs per loop (mean ± std. dev. of 7 runs, 1000 loops each)\n"
]
},
{
"data": {
"text/plain": [
"<TimeitResult : 403 µs ± 8.33 µs per loop (mean ± std. dev. of 7 runs, 1000 loops each)>"
]
},
"execution_count": 47,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"%%timeit -o\n",
"ct = CloughTocher2DInterpolator((x, y), d, fill_value=0.)"
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {},
"outputs": [],
"source": [
"setup[\"clough\"] = _.average"
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"2.47 ms ± 18.9 µs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n"
]
},
{
"data": {
"text/plain": [
"<TimeitResult : 2.47 ms ± 18.9 µs per loop (mean ± std. dev. of 7 runs, 100 loops each)>"
]
},
"execution_count": 49,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"%%timeit -o\n",
"zz = ct(xx, yy)"
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {},
"outputs": [],
"source": [
"interpol[\"clough\"] = _.average"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Generic `interp2d` function"
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"interpf = interp2d(x, y, d, kind=\"linear\")\n",
"zz = interpf(ti, ti)\n",
"plot(zz)"
]
},
{
"cell_type": "code",
"execution_count": 52,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"218 µs ± 3.23 µs per loop (mean ± std. dev. of 7 runs, 1000 loops each)\n"
]
},
{
"data": {
"text/plain": [
"<TimeitResult : 218 µs ± 3.23 µs per loop (mean ± std. dev. of 7 runs, 1000 loops each)>"
]
},
"execution_count": 52,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"%%timeit -o\n",
"interpf = interp2d(x, y, d, kind=\"linear\")"
]
},
{
"cell_type": "code",
"execution_count": 53,
"metadata": {},
"outputs": [],
"source": [
"setup[\"interp2d\"] = _.average"
]
},
{
"cell_type": "code",
"execution_count": 54,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"189 µs ± 1.84 µs per loop (mean ± std. dev. of 7 runs, 10000 loops each)\n"
]
},
{
"data": {
"text/plain": [
"<TimeitResult : 189 µs ± 1.84 µs per loop (mean ± std. dev. of 7 runs, 10000 loops each)>"
]
},
"execution_count": 54,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"%%timeit -o\n",
"zz = interpf(ti, ti)"
]
},
{
"cell_type": "code",
"execution_count": 55,
"metadata": {},
"outputs": [],
"source": [
"interpol[\"interp2d\"] = _.average"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Summary"
]
},
{
"cell_type": "code",
"execution_count": 69,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1920x800 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(2, 1, figsize=(24, 10), dpi=80)\n",
"ax0, ax1 = axes.ravel()\n",
"ax0.bar(setup.keys(), setup.values(), label=\"setup\")\n",
"ax1.bar(interpol.keys(), interpol.values(), color='g', label=\"interpolation\")\n",
"for ax in axes:\n",
" ax.legend()\n",
" ax.set_yscale(\"log\")\n",
" ax.set_ylabel(\"seconds\")"
]
},
{
"cell_type": "code",
"execution_count": 57,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{'rbf:linear': 0.45316932900459506,\n",
" 'rbf:cubic': 2.4942779350094497,\n",
" 'rbf:thin_plate': 1.4981220670160837,\n",
" 'rbf:gaussian': 1.2502613269898575,\n",
" 'rbf:inverse': 0.6832686220004689,\n",
" 'rbf:multiquadric': 0.5736141729867086,\n",
" 'rbf:np+mv': 0.010227854097153924,\n",
" 'rbf:np+gauss': 0.016836815797100176,\n",
" 'rbf:scipy+gauss': 0.015593759427096562,\n",
" 'rbf:dask+mv': 0.047071418015236434,\n",
" 'rbf:dask+np+mv': 0.048246361528539894,\n",
" 'near': 0.008120747242854642,\n",
" 'linear': 0.0005578598815773148,\n",
" 'clough': 0.0024723771242341694,\n",
" 'interp2d': 0.00018943576157076417}"
]
},
"execution_count": 57,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"interpol"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"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": "3.6.5"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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