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@jbwhit
Last active September 28, 2017 03:05
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How to convert from old scipy spline code into future code.
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Scipy Spline Interpolation"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import matplotlib as mpl\n",
"from matplotlib import pyplot as plt\n",
"import seaborn as sns\n",
"import numpy as np\n",
"import pandas as pd\n",
"import os, sys\n",
"import warnings\n",
"import scipy\n",
"from scipy.interpolate import spline, BSpline, make_interp_spline\n",
"sns.set_context('poster', font_scale=1.3)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Setup"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"n_points = 10\n",
"nt = np.linspace(0, 1, 1000)\n",
"x = np.random.rand(n_points)\n",
"y = np.random.rand(n_points)\n",
"\n",
"t = np.arange(x.shape[0], dtype=float)\n",
"t /= t[-1]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Old way that produces a deprecation warning"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/jonathan/miniconda3/envs/insightpy/lib/python3.6/site-packages/ipykernel_launcher.py:1: DeprecationWarning: `spline` is deprecated!\n",
"spline is deprecated in scipy 0.19.0, use Bspline class instead.\n",
" \"\"\"Entry point for launching an IPython kernel.\n",
"/Users/jonathan/miniconda3/envs/insightpy/lib/python3.6/site-packages/ipykernel_launcher.py:2: DeprecationWarning: `spline` is deprecated!\n",
"spline is deprecated in scipy 0.19.0, use Bspline class instead.\n",
" \n"
]
}
],
"source": [
"x2 = spline(t, x, nt)\n",
"y2 = spline(t, y, nt)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"# See warning above"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## How to fix old code to run in the new (>0.19 way)"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [],
"source": [
"helper_x3 = make_interp_spline(t, x)\n",
"helper_y3 = make_interp_spline(t, y)\n",
"\n",
"x3 = helper_x3(nt)\n",
"y3 = helper_y3(nt)"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {},
"outputs": [
{
"data": {
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ioqsZExUi6hFqhRzLZg9BRbUBj686itpGJXsTc0tx50cHIBPAmoeGo7+vtsn5nhobAEB+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XAAAg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\nTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11398ff98>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, (ax, ax2) = plt.subplots(figsize=(8, 10), nrows=2)\n",
"ax.axis('equal')\n",
"ax2.axis('equal')\n",
"\n",
"ax.scatter(x, y, label=\"knot points\")\n",
"ax.plot(x2, y2, label=\"spline (old)\", lw=1.5, color=sns.color_palette()[0])\n",
"\n",
"ax2.scatter(x, y, label=\"knot points\")\n",
"ax2.plot(x3, y3, label=\"New BSpline way\", lw=1.5, color=sns.color_palette()[1])\n",
"\n",
"ax.set_xlim(-0.2, 1.2)\n",
"ax.set_ylim(-0.2, 1.2)\n",
"ax2.set_xlim(-0.2, 1.2)\n",
"ax2.set_ylim(-0.2, 1.2)\n",
"ax.legend(loc='center left', bbox_to_anchor=(1, 0.5))\n",
"ax2.legend(loc='center left', bbox_to_anchor=(1, 0.5))\n",
"fig.tight_layout()"
]
}
],
"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": "3.6.2"
}
},
"nbformat": 4,
"nbformat_minor": 1
}
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