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simonrw/gist:7c58b0a2eebbe03f88a7

Created December 5, 2014 15:46
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CCD geometry for the prototype
Raw
gistfile1.txt
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"worksheets": [
{
"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": 38
},
{
"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": 39
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"skip_size = 8\n",
"n_pixels = 1024"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 40
},
{
"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",
" int const n_pixels = 1024;\n",
"\n",
"\n",
"#pragma omp parallel for private(total, distance, distance_degrees, jj, ii, ll, kk)\n",
" for (jj=0; jj<n_pixels; jj+=increment) {\n",
" for (ii=0; ii<n_pixels; ii+=increment) {\n",
" total = 0;\n",
" for (ll=0; ll<n_pixels; ll+=increment) {\n",
" for (kk=0; kk<n_pixels; 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": 41
},
{
"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": 42
},
{
"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": 43
},
{
"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": 44
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def load_data(fname):\n",
" data = np.loadtxt(fname, delimiter=',', dtype=np.int64)\n",
" npoints = n_pixels / 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": 45
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"!rm radius_*.txt\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": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Running command [./model 0.1 8]\n",
"Running command [./model 0.2 8]"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Running command [./model 0.3 8]"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Running command [./model 0.4 8]"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Running command [./model 0.5 8]"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Running command [./model 0.6 8]"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Running command [./model 0.7 8]"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Running command [./model 0.8 8]"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Running command [./model 0.9 8]"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Running command [./model 1.0 8]"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Running command [./model 1.1 8]"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Running command [./model 1.2 8]"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Running command [./model 1.3 8]"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Running command [./model 1.4 8]"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Running command [./model 1.5 8]"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Running command [./model 1.6 8]"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Running command [./model 1.7 8]"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Running command [./model 1.8 8]"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Running command [./model 1.9 8]"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Running command [./model 2.0 8]"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Running command [./model 2.1 8]"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Running command [./model 2.2 8]"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Running command [./model 2.3 8]"
]
},
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"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Running command [./model 2.4 8]"
]
},
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"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Running command [./model 2.5 8]"
]
},
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"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Running command [./model 2.6 8]"
]
},
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"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Running command [./model 2.7 8]"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Running command [./model 2.8 8]"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Running command [./model 2.9 8]"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Running command [./model 3.0 8]"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n"
]
}
],
"prompt_number": 46
},
{
"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": 47
},
{
"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, n_pixels, 0, n_pixels), 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, n_pixels)\n",
" axis.set_ylim(0, n_pixels)\n",
" \n",
" circle = plt.Circle((n_pixels / 2, n_pixels / 2), radius=radius * 3600. / 5., edgecolor='#00FF00', facecolor='None')\n",
" axis.add_artist(circle)"
],
"language": "python",
"metadata": {},
"outputs": [
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