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@moble
Created January 12, 2018 16:40
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Install [spinsfast](https://github.com/moble/spinsfast), using directions [here](https://github.com/moble/spinsfast#installation)."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"ExecuteTime": {
"end_time": "2018-01-12T16:33:27.717170Z",
"start_time": "2018-01-12T16:33:23.091336Z"
},
"collapsed": true
},
"outputs": [],
"source": [
"import math\n",
"import numpy as np\n",
"import matplotlib as mpl\n",
"%matplotlib inline\n",
"%config InlineBackend.figure_format = \"retina\"\n",
"import matplotlib.pyplot as plt\n",
"import spinsfast as sp"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"ExecuteTime": {
"end_time": "2018-01-12T16:33:27.902821Z",
"start_time": "2018-01-12T16:33:27.720119Z"
},
"collapsed": true
},
"outputs": [],
"source": [
"psi4_slm = {}\n",
"\n",
"for R in ['100', '200']:\n",
"\n",
" # Load the data from file\n",
" data = np.loadtxt('TetradPsi4_R0' + R + '.dat')\n",
"\n",
" # Separate the raw data into relevant pieces\n",
" t = data[:, 0]\n",
" psi4_map = data[:, 1:] # Extract just the real and imaginary parts\n",
"\n",
" # Analyze the structure of the data\n",
" n_points_on_sphere = psi4_map.shape[1] // 2 # There are 2 data points for each (theta, phi) value\n",
" two_ell_plus_1 = int(math.sqrt(n_points_on_sphere)) # Assuming n_theta==n_phi\n",
" ell_max = (two_ell_plus_1 - 1) // 2\n",
" ell_min = 0 # This is how spinsfast will output the modes\n",
" spin_weight = -2\n",
"\n",
" # Change the psi4 data (without copying) to have complex type and to have the right shape\n",
" psi4_map = psi4_map.flatten().view(dtype=complex).reshape((data.shape[0], two_ell_plus_1, two_ell_plus_1))\n",
"\n",
" # Now convert to SWSH modes with spinsfast\n",
" psi4_slm[R] = np.array([sp.map2salm(psi4_map[i], spin_weight, ell_max) for i in range(psi4_map.shape[0])])"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"ExecuteTime": {
"end_time": "2018-01-12T16:33:28.760547Z",
"start_time": "2018-01-12T16:33:27.905988Z"
}
},
"outputs": [
{
"data": {
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Y9evXA45d5k2bNvVKzr6mormIiIiIiFz0sk+d4sijj3Js/Hjszn+IJn/2GZkHDvg4MxER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\nhny2cBXPVTfK5ywrrnNc89wMD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XV73bgc+isnA8NaS15dHhuKNrCuaB0nm072Oi7EEUJR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\nSZJKJs0lSZIkSZIkSSr9f+MnYiLplYv1AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x110c06470>"
]
},
"metadata": {
"image/png": {
"height": 361,
"width": 742
}
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(t-100, np.abs(psi4_slm['100'][:, sp.lm_ind(2, 2, ell_max)]), label='(2,2) R=100')\n",
"plt.plot(t-100, np.abs(psi4_slm['100'][:, sp.lm_ind(2, -2, ell_max)]), label='(2,-2) R=100')\n",
"\n",
"plt.plot(t-200, np.abs(psi4_slm['200'][:, sp.lm_ind(2, 2, ell_max)]), ls='dashed', label='(2,2) R=200')\n",
"plt.plot(t-200, np.abs(psi4_slm['200'][:, sp.lm_ind(2, -2, ell_max)]), ls='dashed', label='(2,-2) R=200')\n",
"\n",
"plt.legend();"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"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": "3.6.4"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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