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simonrw/gist:02d6a635372a1fa667ef

Created December 4, 2014 21:03
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gistfile1.json
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{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Chip geometries"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Is there something unusual about the chip geometry? I write a small simulation (in C for speed) to check for each pixel:\n",
"\n",
"* for each other pixel,\n",
"* compute the distance\n",
"* if the distance is within 1% of the \"target\" radius:\n",
"* increment the counter for the original pixel\n",
"* then divide by the number of pixels to get the fraction of pixels on the chip at that radius.\n",
"\n",
"Skip to the [results](#Results) section for discussion"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%matplotlib inline"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 64
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import subprocess as sp\n",
"import numpy as np\n",
"from os import path\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"\n",
"\n",
"sns.set(style='white')"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 65
},
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"The C code to run the simulation"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%%file main.c\n",
"\n",
"#include <stdio.h>\n",
"#include <stdlib.h>\n",
"#include <math.h>\n",
"#include <omp.h>\n",
"\n",
"int main(int argc, char *argv[]) {\n",
" if (argc != 3) {\n",
" fprintf(stderr, \"Program usage: %s <radius> <skip_step>\\n\", argv[0]);\n",
" exit(1);\n",
" }\n",
"\n",
" int ii, jj, kk, ll;\n",
" float const pixel_scale = 5.0;\n",
" float distance = 0.0;\n",
" float distance_degrees = 0.0;\n",
" float const target = atof(argv[1]);\n",
" float const deg2arcsec = 3600.;\n",
" long total = 0;\n",
" int const increment = atoi(argv[2]);\n",
" float const tolerence = 0.01;\n",
" float const lower_bound = (1 - tolerence) * target;\n",
" float const upper_bound = (1 + tolerence) * target;\n",
"\n",
"\n",
"#pragma omp parallel for private(total, distance, distance_degrees, jj, ii, ll, kk)\n",
" for (jj=0; jj<2048; jj+=increment) {\n",
" for (ii=0; ii<2048; ii+=increment) {\n",
" total = 0;\n",
" for (ll=0; ll<2048; ll+=increment) {\n",
" for (kk=0; kk<2048; kk+=increment) {\n",
" if ((kk == ii) && (ll == jj)) {\n",
" continue;\n",
" }\n",
"\n",
" /* Distance in pixels */\n",
" distance = sqrt(pow(kk - ii, 2) + pow(ll - jj, 2));\n",
" distance_degrees = distance * pixel_scale / deg2arcsec;\n",
" \n",
" if ((distance_degrees >= lower_bound) && (distance_degrees <= upper_bound)) {\n",
" total += 1;\n",
" }\n",
" }\n",
" }\n",
"#pragma omp critical\n",
" printf(\"%d,%d,%ld\\n\", ii, jj, total);\n",
" }\n",
" }\n",
"\n",
" return 0;\n",
"}\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Overwriting main.c\n"
]
}
],
"prompt_number": 66
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%%file Makefile\n",
"\n",
"all: model\n",
" \n",
"model: main.c\n",
"\tgcc-4.9 $< -o $@ -fopenmp -O2 -Wall -Wextra\n",
"\n",
".PHONY: clean\n",
" \n",
"clean:\n",
"\t@rm -rf model"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Overwriting Makefile\n"
]
}
],
"prompt_number": 67
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"!make"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"gcc-4.9 main.c -o model -fopenmp -O2 -Wall -Wextra\r\n"
]
}
],
"prompt_number": 68
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def run_model(radius, skip_size, output_filename):\n",
" cmd = map(str, ['./model', radius, skip_size])\n",
" print('Running command [{}]'.format(' '.join(cmd)))\n",
" with open(output_filename, 'w') as outfile:\n",
" sp.check_call(cmd, stdout=outfile)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 69
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def load_data(fname):\n",
" data = np.loadtxt(fname, delimiter=',', dtype=np.int64)\n",
" npoints = 2048 / skip_size\n",
" out = np.zeros((npoints, npoints), dtype=np.int64)\n",
" for (xval, yval, total) in data:\n",
" if xval / skip_size < npoints and yval / skip_size < npoints:\n",
" out[yval / skip_size, xval / skip_size] = total\n",
" return out.astype(float) / (npoints * npoints)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 70
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"skip_size = 8\n",
"datasets = []\n",
"radii = np.linspace(0.1, 3, 30)\n",
"for radius in radii:\n",
" fname = 'radius_{}.txt'.format(radius)\n",
" if not path.isfile(fname):\n",
" run_model(radius, skip_size, fname)\n",
" datasets.append(load_data(fname)) "
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 71
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"chosen_radii = np.array([0.5, 1., 2., 3.])\n",
"inds = [np.where(np.isclose(radii, val))[0][0] for val in chosen_radii]"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 72
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Results"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig, axes = plt.subplots(len(chosen_radii), 1, sharex=True, sharey=True, figsize=(4, 4 * 3))\n",
"try:\n",
" len(axes)\n",
"except Exception:\n",
" axes = [axes]\n",
" \n",
"for (i, axis, radius) in zip(inds, axes, chosen_radii):\n",
" data = datasets[i]\n",
" mappable = axis.imshow(data * 100., extent=(0, 2048, 0, 2048), cmap=plt.cm.afmhot)\n",
" axis.set_title('{}: {}'.format(radius, data.sum()))\n",
" cbar = fig.colorbar(mappable, ax=axis)\n",
" cbar.set_label(r'Chip fraction / %')\n",
" axis.set_xlim(0, 2048)\n",
" axis.set_ylim(0, 2048)\n",
" \n",
" circle = plt.Circle((1024, 1024), radius=radius * 3600. / 5., edgecolor='#00FF00', facecolor='None')\n",
" axis.add_artist(circle)"
],
"language": "python",
"metadata": {},
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