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@jradavenport
Last active September 29, 2023 00:06
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "67f327f1",
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import numpy as np\n",
"import pandas as pd\n",
"from scipy import stats\n",
"import matplotlib.pyplot as plt\n",
"import matplotlib.colors as colors\n",
"\n",
"# my quad tree histogram code, from here: https://github.com/jradavenport/qthist2d\n",
"import sys\n",
"sys.path.append('/Users/james/Dropbox/python/qthist2d/')\n",
"from qthist2d import qthist, qtcount, binned_statistic_qt"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "a6352a55",
"metadata": {},
"outputs": [],
"source": [
"import matplotlib\n",
"matplotlib.rcParams.update({'font.size':18})\n",
"matplotlib.rcParams.update({'font.family':'serif'})"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "9bddaf6e",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x7fe5bbc56880>"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# some random data\n",
"x = np.random.normal(loc=5, scale=3, size=10000)\n",
"y = np.random.normal(loc=1, scale=6, size=10000) - (0.2* x**2) + (5*x)\n",
"\n",
"plt.scatter(x,y, s=1, alpha=0.1)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "9fa8ad01",
"metadata": {},
"outputs": [],
"source": [
"# add some random velocities\n",
"vx = (0.1*x) + np.random.normal(loc=0, scale=(0.1), size=10000)\n",
"vy = (0.1*y) + np.random.normal(loc=0, scale=(0.1), size=10000) + (0.3 *(x-8)) + (0.1 * vx)\n"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "b8da9e28",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# compute the quad tree histogram binning\n",
"num, xmin, xmax, ymin, ymax = qthist(x,y, N=6, thresh=20, density=True, \n",
" rng=[[-7,16],[-42,60]])\n",
"\n",
"fig = plt.figure()\n",
"ax = fig.add_subplot(111)\n",
"\n",
"plt.scatter(x,y, s=1, alpha=0.1, rasterized=True)\n",
"\n",
"for k in range(len(num)):\n",
" ax.add_patch(plt.Rectangle((xmin[k], ymin[k]), xmax[k]-xmin[k], ymax[k]-ymin[k], \n",
" fc ='none', lw=1, alpha=0.5, color='k'))\n",
"plt.gca().invert_yaxis()"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "6b190323",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/james/opt/anaconda3/lib/python3.8/site-packages/numpy/lib/nanfunctions.py:1117: RuntimeWarning: Mean of empty slice\n",
" return np.nanmean(a, axis, out=out, keepdims=keepdims)\n"
]
}
],
"source": [
"x0 = (xmin + xmax)/2\n",
"y0 = (ymin + ymax)/2\n",
"\n",
"dx = binned_statistic_qt(x,y,vx, statistic='median', edges=(xmin,xmax,ymin,ymax))\n",
"dy = binned_statistic_qt(x,y,vy, statistic='median', edges=(xmin,xmax,ymin,ymax))"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "dc488d56",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x648 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"CMAP = plt.cm.Blues\n",
"\n",
"fig = plt.figure(figsize=(8,9))\n",
"ax = fig.add_subplot(111)\n",
"\n",
"CLR = num + np.min(num[num > 0])\n",
"CLR = np.log10(CLR)\n",
"CLR = (CLR - np.nanmin(CLR)) / (np.nanmax(CLR - np.nanmin(CLR)))\n",
"\n",
"for k in range(len(num)):\n",
" ax.add_patch(plt.Rectangle((xmin[k], ymin[k]), xmax[k]-xmin[k], ymax[k]-ymin[k], \n",
" ec='grey', lw=1, alpha=0.5, color=CMAP(CLR[k])))\n",
"\n",
"Enorm = np.sqrt(dx**2 + dy**2) # drop this normalization if you want scalled arrows\n",
"plt.quiver(x0, y0, dx/Enorm, dy/Enorm, units='xy', angles='xy')\n",
"\n",
"plt.xlabel('X Thing')\n",
"plt.ylabel('Y Not')\n",
"# plt.gca().invert_yaxis()\n",
"plt.xlim(xmin.min(), xmax.max())\n",
"plt.ylim(ymax.max(), ymin.min())\n",
"plt.savefig('savethis.png', dpi=150, bbox_inches='tight', pad_inches=0.25)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "280abb35",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"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": "3.8.13"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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