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@fjaviersanchez
Created March 12, 2018 02:00
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import astropy.table\n",
"#import fitsio #(if we want to read faster)\n",
"import os\n",
"import flatmaps as fm\n",
"import pymaster as nmt\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 359,
"metadata": {},
"outputs": [],
"source": [
"data_path = ['/global/projecta/projectdirs/lsst/production/DC2/DC2-phoSim-test_WFD-r/output/000010/lsst_e_417009_f2_R22_S%s_E000.fits.gz' % sensor for sensor in ['00','01','02','10','11','12','20','21','22']] "
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"import fitsio"
]
},
{
"cell_type": "code",
"execution_count": 360,
"metadata": {},
"outputs": [],
"source": [
"data = [fitsio.read(dp) for dp in data_path]"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"import skimage.transform"
]
},
{
"cell_type": "code",
"execution_count": 361,
"metadata": {},
"outputs": [],
"source": [
"rfactor=16"
]
},
{
"cell_type": "code",
"execution_count": 362,
"metadata": {},
"outputs": [],
"source": [
"images = [skimage.transform.resize(d,(d.shape[0]/rfactor,d.shape[1]/rfactor),preserve_range=True) for d in data]"
]
},
{
"cell_type": "code",
"execution_count": 363,
"metadata": {},
"outputs": [
{
"data": {
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tNN1tSc5kMmt50Qbg0609cXVU1QHgQ8BTwEHge1X1BSawFgZHAb+a5LVJzgB+k8EbUCex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\nCEhSxwwBSeqYISBJHTMEJKlj/wvPvbpL1V3DKwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x2ae4bbc6b1d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.hist(images[0].flatten(),range=(400,1000),bins=100);"
]
},
{
"cell_type": "code",
"execution_count": 364,
"metadata": {},
"outputs": [],
"source": [
"total_data = np.zeros((images[0].shape[0]*3,images[0].shape[1]*3))\n",
"for i in range(0,3):\n",
" for j in range(0,3):\n",
" total_data[images[0].shape[0]*i:images[0].shape[0]*(i+1),images[0].shape[1]*j:images[0].shape[1]*(j+1)]=images[3*i+j]"
]
},
{
"cell_type": "code",
"execution_count": 365,
"metadata": {},
"outputs": [],
"source": [
"mask = total_data<np.percentile(total_data,95)"
]
},
{
"cell_type": "code",
"execution_count": 366,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x2ae4b9719150>"
]
},
"execution_count": 366,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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KwoG9RaNpz9QhatQxJSApZvYuERQ2NW7G7gv9Hbq/b/AeunND9ZNEq+b2t0gQMPMvmXkv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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x2ae4b9674ed0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.imshow(mask)"
]
},
{
"cell_type": "code",
"execution_count": 367,
"metadata": {},
"outputs": [],
"source": [
"dmap = total_data/np.mean(total_data[~mask])-1."
]
},
{
"cell_type": "code",
"execution_count": 368,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x2ae4b97c1dd0>"
]
},
"execution_count": 368,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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v5e8uhCYAkw9dVOG+XK+TDackNrAO+LvfvhuwA/AU6pxlYqAdya6LwFzIZ46N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\n/wNGkSRj99eapgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x2ae4b97258d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.imshow(dmap,cmap='gray_r',vmin=-1,vmax=2)"
]
},
{
"cell_type": "code",
"execution_count": 369,
"metadata": {},
"outputs": [],
"source": [
"cmap = fm.FlatMapInfo([0,3*0.2*dmap.shape[0]*rfactor/3600.],[0,3*0.2*dmap.shape[1]*rfactor/3600.],nx=dmap.shape[0],ny=dmap.shape[1])"
]
},
{
"cell_type": "code",
"execution_count": 370,
"metadata": {},
"outputs": [],
"source": [
"aux = dmap*mask"
]
},
{
"cell_type": "code",
"execution_count": 371,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"((762, 750), (762, 750), [750, 762], (762, 750))"
]
},
"execution_count": 371,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"mask.shape, dmap.shape, cmap.get_dims(), aux.shape"
]
},
{
"cell_type": "code",
"execution_count": 372,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"571500"
]
},
"execution_count": 372,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"cmap.npix"
]
},
{
"cell_type": "code",
"execution_count": 373,
"metadata": {},
"outputs": [],
"source": [
"cl,lbpw,wsp=cmap.compute_power_spectrum(aux.flatten(),mask.flatten())\n",
"ells = np.mean(lbpw,axis=0)"
]
},
{
"cell_type": "code",
"execution_count": 374,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[]"
]
},
"execution_count": 374,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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IvQKyFjI+fioAu06c63QguIeM2jotzS3EbOz2kFGVzY7FZMBsMmBQ+uvJ4jTh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\nIYQQgASCEEIIFwkEIYQQgASCEEIIl/8HqDrEBd2Opd8AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x2ae4b97dded0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(ells,cl)\n",
"plt.plot(ells,6.5e-10*ells**-0.3)\n",
"plt.loglog()"
]
},
{
"cell_type": "code",
"execution_count": 375,
"metadata": {},
"outputs": [],
"source": [
"tab_cl = astropy.table.Table([ells,cl],names=('l','Cl'))\n",
"tab_cl.write('Cl_10.fits.gz',overwrite=True)"
]
},
{
"cell_type": "code",
"execution_count": 68,
"metadata": {},
"outputs": [],
"source": [
"import treecorr as tc"
]
},
{
"cell_type": "code",
"execution_count": 376,
"metadata": {},
"outputs": [],
"source": [
"ra_arr = np.linspace(0.5,0.2*3*dmap.shape[0]*rfactor/3600,dmap.shape[0])\n",
"dec_arr = np.linspace(0.5,0.2*3*dmap.shape[1]*rfactor/360,dmap.shape[1])"
]
},
{
"cell_type": "code",
"execution_count": 377,
"metadata": {},
"outputs": [],
"source": [
"ra, dec = np.meshgrid(ra_arr,dec_arr)"
]
},
{
"cell_type": "code",
"execution_count": 378,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"((750, 762), (762, 750))"
]
},
"execution_count": 378,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ra.shape, mask.shape"
]
},
{
"cell_type": "code",
"execution_count": 379,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Warning: Some bins for the randoms had no pairs.\n",
" Probably max_sep is larger than your field.\n"
]
}
],
"source": [
"cat = tc.Catalog(ra=ra[mask.T].flatten(),dec=dec[mask.T].flatten(),ra_units='arcmin',dec_units='arcmin',w=total_data.T[mask.T].flatten())\n",
"rnd = tc.Catalog(ra=ra[mask.T].flatten(),dec=dec[mask.T].flatten(),ra_units='arcmin',dec_units='arcmin',w=np.mean(total_data[mask])*np.ones(np.count_nonzero(mask)))\n",
"dd = tc.NNCorrelation(min_sep=1e-2,max_sep=300,nbins=75,sep_units='arcmin')\n",
"dr = tc.NNCorrelation(min_sep=1e-2,max_sep=300,nbins=75,sep_units='arcmin')\n",
"rr = tc.NNCorrelation(min_sep=1e-2,max_sep=300,nbins=75,sep_units='arcmin')\n",
"dd.process(cat,cat)\n",
"rr.process(rnd,rnd)\n",
"dr.process(cat,rnd)\n",
"xi, xivar = dd.calculateXi(rr,dr)"
]
},
{
"cell_type": "code",
"execution_count": 380,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(0.1, 10)"
]
},
"execution_count": 380,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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6EXDiYtchAVTvDgHHLXYd0lRz+VvpDOqBXHRWDwaOU7VqwcamAfVAa4B9kuyV5GHAa4CL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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x2ae4b956de90>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.errorbar(np.exp(dd.meanlogr),xi*100,xivar,fmt='o')\n",
"#plt.plot(np.exp(dd.meanlogr),1e-4*np.exp(dd.meanlogr)**-0.3)\n",
"plt.loglog()\n",
"plt.xlabel(r'$\\theta$ [arcmin]')\n",
"plt.ylabel(r'$100 w(\\theta)$')\n",
"plt.ylim(6e-3,2e-2)\n",
"plt.xlim(1e-1,10)"
]
},
{
"cell_type": "code",
"execution_count": 381,
"metadata": {},
"outputs": [],
"source": [
"tab_w = astropy.table.Table([np.exp(dd.meanlogr),xi,np.sqrt(xivar)],names=('theta','w','dw'))\n",
"tab_w.write('w_10.fits.gz',overwrite=True)"
]
},
{
"cell_type": "code",
"execution_count": 382,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x2ae4b88a5b90>"
]
},
"execution_count": 382,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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JZSeAYJrO1oK75EzV+Y0+pJSknp7AfEZhCCg5j14k5zIO41uZqQRU1Cha6r96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\nThpq1bmR8bZkzqX7w5CLrMxyoi6wX+k/wZKyZAhFPaD8OFZ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5AAAL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\nTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x2ae4b8847b90>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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Uz4S/6vhGBAKAwqZ8ULzKVO/wfvEaUhimesdlBlaSCVfLD+QKbSVr20D6mvOTchQBwaXJ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\ndbWuFq42gqt1ta4WrjaCq3W1rhaA/wuElimpGdb/vgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x2ae4b9759c10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from scipy import fftpack\n",
"F1 = fftpack.fft2((total_data/np.mean(total_data)-1))\n",
" \n",
"# Now shift the quadrants around so that low spatial frequencies are in\n",
"# the center of the 2D fourier transformed image.\n",
"F2 = fftpack.fftshift( F1 )\n",
" \n",
"# Calculate a 2D power spectrum\n",
"psd2D = np.abs( F2 )**2\n",
" \n",
"plt.figure(1)\n",
"plt.imshow( np.log10( total_data ), cmap='gray_r')\n",
" \n",
"plt.figure(2)\n",
"plt.imshow( np.log10( psd2D ))\n",
" "
]
},
{
"cell_type": "code",
"execution_count": 383,
"metadata": {},
"outputs": [],
"source": [
"x, y = np.meshgrid(np.arange(total_data.shape[0]),np.arange(total_data.shape[1]))"
]
},
{
"cell_type": "code",
"execution_count": 384,
"metadata": {},
"outputs": [],
"source": [
"x = x - (total_data.shape[0]/2)"
]
},
{
"cell_type": "code",
"execution_count": 385,
"metadata": {},
"outputs": [],
"source": [
"y = y - total_data.shape[1]/2"
]
},
{
"cell_type": "code",
"execution_count": 386,
"metadata": {},
"outputs": [],
"source": [
"rad = np.sqrt(x**2+y**2)"
]
},
{
"cell_type": "code",
"execution_count": 387,
"metadata": {},
"outputs": [],
"source": [
"bins = np.arange(0,400)"
]
},
{
"cell_type": "code",
"execution_count": 388,
"metadata": {},
"outputs": [],
"source": [
"ps1d = np.zeros(len(bins))"
]
},
{
"cell_type": "code",
"execution_count": 389,
"metadata": {},
"outputs": [],
"source": [
"for b in bins:\n",
" ps1d[b]=np.mean(psd2D.T[(rad>b-1) & (rad<b+1)])"
]
},
{
"cell_type": "code",
"execution_count": 390,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"40.96000000000001"
]
},
"execution_count": 390,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"3*0.2*4096/60"
]
},
{
"cell_type": "code",
"execution_count": 391,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x2ae4b87d1810>"
]
},
"execution_count": 391,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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kEUgBIhKjbj27P6mJ7ejfNZnfL9hGWWW11yVJhFGAiMSoSUMyWH3fxfz2S2M4UFbFQ69v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\nREQkJAoQEREJyf8H9tDY/iyy54IAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x2ae4b89a6510>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(bins*60/(16*0.2),ps1d)\n",
"plt.loglog()\n",
"plt.ylim(1e5,1e8)\n",
"plt.xlabel('$k$ [1/arcmin]')\n",
"plt.ylabel('$P(k)$')"
]
},
{
"cell_type": "code",
"execution_count": 392,
"metadata": {},
"outputs": [],
"source": [
"tab_pk = astropy.table.Table([bins*60/(16*0.2),ps1d],names=('k','Pk'))\n",
"tab_pk.write('Pk_10.fits.gz',overwrite=True)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "nmt",
"language": "python",
"name": "nmt"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.13"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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