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@razimantv
Created February 18, 2019 19:05
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Generate random points in an angle range around a given latitude and longitude
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Raw
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%plot --format png -w 800 -h 800\n",
"N = 10000; % Number of points\n",
"lat = 40*pi/180; long = 210*pi/180; % Centre point\n",
"angle1 = 30*pi/180; angle2 = 70*pi/180; % Angle range of strip\n",
"\n",
"r = ones(N,1);\n",
"theta = acos(rand([N, 1])*(cos(angle1)-cos(angle2))+cos(angle2)); # Latitude of random point around pole\n",
"phi = rand([N,1])*2*pi; # Longitude of random point around pole\n",
"\n",
"[x,y,z]=sph2cart(phi,pi/2-theta,r); # Cartesian coordinates\n",
"xp = x*sin(lat)+z*cos(lat); # Rotate latitude\n",
"yp = y;\n",
"zp = z*sin(lat)-x*cos(lat);\n",
"x = xp*cos(long)-yp*sin(long); # Rotate longitude\n",
"y = xp*sin(long)+yp*cos(long);\n",
"z = zp;\n",
"\n",
"sphere; # Plot\n",
"hold on;\n",
"scatter3(x,y,z,'MarkerEdgeColor',[.75 0 0]);\n",
"hold on;\n",
"scatter3([0, 0, 0, 0, 1, -1],[0, 0, 1, -1, 0, 0],[1, -1, 0, 0, 0, 0]);\n",
"hold off"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Octave",
"language": "octave",
"name": "octave"
},
"language_info": {
"file_extension": ".m",
"help_links": [
{
"text": "GNU Octave",
"url": "https://www.gnu.org/software/octave/support.html"
},
{
"text": "Octave Kernel",
"url": "https://github.com/Calysto/octave_kernel"
},
{
"text": "MetaKernel Magics",
"url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md"
}
],
"mimetype": "text/x-octave",
"name": "octave",
"version": "4.4.1"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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