Junk.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%pylab inline\n",
    "import Template, Analysis\n",
    "t = {'t':Template.Template(np.zeros(10)),}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "print '%20s' % 'NAME', '%25s' % 'LIMITS', '%10s' % 'VALUE', '%10s' % 'FIX_NORM', '%10s' % 'FIX_SPEC'\n",
    "for key in t:\n",
    "            temp = t[key]\n",
    "            print '%20s' % key, '%25s' % temp.limits, '%10s' % temp.value, '%10s' % temp.fixNorm, '%10s' % temp.fixSpectrum"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "reload(Analysis)\n",
    "\n",
    "A = Analysis.Analysis()\n",
    "A.AddPointSourceTemplate()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "A.AddTemplate('test',np.zeros(10))\n",
    "A.AddTemplate('test2',np.zeros(10))\n",
    "\n",
    "A.PrintTemplates()\n",
    "\n",
    "A.RemoveTemplate('test')\n",
    "A.PrintTemplates()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "E,flux,fluxUnc = np.genfromtxt('iso_clean_v05.txt').T\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "# Build a power law interpolator\n",
    "fluxInterp = lambda x: np.exp(np.interp(np.log(x),np.log(E),np.log(flux)))\n",
    "fluxUncInterp = lambda x: np.exp(np.interp(np.log(x),np.log(E),np.log(fluxUnc)))\n",
    "\n",
    "fluxInterp(1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "f = np.zeros(shape=(1000,1000))\n",
    "f2 = np.zeros(shape=(100,100))\n",
    "\n",
    "\n",
    "%timeit f[:100,:100]*f[:100,:100]\n",
    "%timeit f2*f2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "a = np.ones(shape=(2,3,3))\n",
    "print np.inner([2,3],a)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import Template, Analysis, Likelihood\n",
    "reload(Analysis)\n",
    "A = Analysis.Analysis()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "A.AddIsotropicTemplate()\n",
    "A.BinPhotons()\n",
    "A.AddPointSourceTemplate()\n",
    "A.GenSquareMask(l_range=[-20,20],b_range=[-20,20],plane_mask=2)\n",
    "A.PrintTemplates()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import GammaLikelihood as like\n",
    "reload(like)\n",
    "#healpy.mollview(A.binned_data[10])\n",
    "\n",
    "m, res = like.RunLikelihood(A,print_level=2,use_basinhopping=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "for i in range(24):\n",
    "    print np.mean(A.templateList['PSC'].healpixCube[i]),np.mean(A.binned_data[i])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "print m.fitarg\n",
    "norms=[]\n",
    "bins = []\n",
    "for i in range(24):\n",
    "    bins.append(A.bin_edges[i])\n",
    "    norms.append( m.fitarg['PSC_'+str(i)])\n",
    "    \n",
    "plt.loglog(bins,norms)    \n",
    "\n",
    "print A.mask\n",
    "idx = np.where(A.mask!=0)[0]\n",
    "np.mean(A.binned_data[0,idx])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "print list(A.bin_edges"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "x = np.vectorize(log)\n",
    "%timeit np.log(a)\n",
    "%timeit np.sum(a)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "print len(np.nonzero(A.GenSquareMask(l_range=[-20,20],b_range=[-20,20],plane_mask=2))[0])\n",
    "print np.shape(np.nonzero(A.mask))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import pycuda.driver as drv\n",
    "import pycuda.tools\n",
    "import pycuda.autoinit\n",
    "import numpy\n",
    "import numpy.linalg as la\n",
    "from pycuda.compiler import SourceModule\n",
    "\n",
    "mod = SourceModule(\"\"\"\n",
    "__global__ void multiply_them(float *dest, float *a, float *b)\n",
    "{\n",
    "  const int i = threadIdx.x;\n",
    "  dest[i] = a[i] * b[i];\n",
    "}\n",
    "\"\"\")\n",
    "\n",
    "multiply_them = mod.get_function(\"multiply_them\")\n",
    "\n",
    "a = numpy.random.randn(400).astype(numpy.float32)\n",
    "b = numpy.random.randn(400).astype(numpy.float32)\n",
    "\n",
    "dest = numpy.zeros_like(a)\n",
    "#multiply_them(\n",
    "#        drv.Out(dest), drv.In(a), drv.In(b),\n",
    "#        block=(40000,1,1))\n",
    "\n",
    "#print dest-a*b\n",
    "\n",
    "%timeit multiply_them(drv.Out(dest), drv.In(a), drv.In(b),block=(400,1,1))\n",
    "\n",
    "%timeit a*b"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import pycuda.driver as drv"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import cudamat as cm\n",
    "\n",
    "cm.cublas_init()\n",
    "\n",
    "# create two random matrices and copy them to the GPU\n",
    "a = cm.CUDAMatrix(np.random.rand(320, 2560))\n",
    "b = cm.CUDAMatrix(np.random.rand(2560, 320))\n",
    "\n",
    "# perform calculations on the GPU\n",
    "%timeit c = cm.dot(a, b)\n",
    "%timeit d = c.sum(axis = 0)\n",
    "\n",
    "\n",
    "\n",
    "a = np.random.rand(320, 2560)\n",
    "b = np.random.rand(2560, 320)\n",
    "\n",
    "%timeit np.dot(a,b)\n",
    "%timeit np.sum(b)\n",
    "\n",
    "# copy d back to the host (CPU) and print\n",
    "print d.asarray()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "a = cm.CUDAMatrix(np.random.rand(24, 26786))\n",
    "b = cm.CUDAMatrix(np.random.rand(24, 26786))\n",
    "\n",
    "cm.dot(a,b.T)\n",
    "%timeit cm.log(a).asarray()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "a = np.random.rand(320, 2560)\n",
    "%timeit cm.CUDAMatrix(a)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "a = cm.CUDAMatrix(np.zeros((2, 2)))\n",
    "a.add(np.e**2 target=)\n",
    "print cm.log(a).asarray()\n",
    "print a.asarray()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "b, l = np.deg2rad((b,l))\n",
    "d = np.rad2deg(np.arctan2(np.sqrt(np.square(np.cos(b)*np.sin(l) )+np.square(np.sin(b))),np.cos(b)*np.cos(l) ))\n",
    "print d"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "np.sqrt((20**2+20**2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import DM\n",
    "import healpy\n",
    "reload(DM)\n",
    "healpy.cartview(DM.GenNFW(decay=False, axesratio=1,offset=(0,0),mult_solid_ang=True))\n",
    "#healpy.cartview(DM.GenNFW(),latra=(-30,30),lonra=(-30,30))\n",
    "\n",
    "import Template, Analysis\n",
    "import GammaLikelihood as like\n",
    "reload(Analysis)\n",
    "A = Analysis.Analysis()\n",
    "A.BinPhotons()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import pyfits\n",
    "hdu = pyfits.open('/data/fermi_data_1-8-14/gtsrcmap_ALL_BOTH.fits')\n",
    "hdu.info()\n",
    "\n",
    "plt.imshow(np.log10(hdu[0].data[0]),origin='lower',extent=[-180,180,-90,90])\n",
    "plt.xlim(180,-180)\n",
    "plt.colorbar()\n",
    "plt.show()\n",
    "\n",
    "healpy.cartview(np.log10(A.binned_data[0]),)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "print A.bin_edges\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0 (0.0, 1.7672495)\n",
      "1 (1.7672495, 3.5248926)\n",
      "2 (3.5248926, 5.5203085)\n",
      "3 (5.5203085, 7.5050545)\n",
      "4 (7.5050545, 9.5)\n",
      "5 (9.5, 11.5)\n",
      "6 (11.5, 13.5)\n",
      "7 (13.5, 15.5)\n",
      "8 (15.5, 50.0)\n",
      "-0.00843384\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar instance at 0x7f37c62c9878>"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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nY5movBXTd3jLBihcyr5/Ibtd0dYqWjeLue6bBV8BAAD2q0EMWLgu6ai2hiyX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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f37c67e0090>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i,item in enumerate(list(pyfits.open('/data/galprop2/FITS/rbands_hi12_v5_hdeg_zmax1_Ts125.fits.gz')[1].data)):\n",
    "    print i, item\n",
    "\n",
    "    \n",
    "#plt.imshow(pyfits.open('/data/galprop2/FITS/rbands_co10mm_v3_2001_qdeg.fits.gz')[0].data[0] )\n",
    "plt.imshow(np.sum(pyfits.open('/data/galprop2/FITS/rbands_hi12_v5_hdeg_zmax1_Ts125.fits.gz')[0].data, axis=0), cmap='bwr', vmin=-1,vmax=1)\n",
    "print np.min(pyfits.open('/data/galprop2/FITS/rbands_hi12_v5_hdeg_zmax1_Ts125.fits.gz')[0].data)\n",
    "\n",
    "plt.colorbar()\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import healpy\n",
    "\n",
    "def ReadFits(fname):\n",
    "    hdu = pyfits.open(fname)\n",
    "    return np.array([hdu[1].data.field(i) for i in range(len(hdu[1].data[0]))])\n",
    "\n",
    "d1 = ReadFits('/data/galprop2/output/pi0_decay_healpix_54_Lorimer_z6kpc_R20kpc_Ts100000K_EBV5mag.gz')\n",
    "d2 = ReadFits('/data/galprop2/output/pi0_decay_healpix_54_NSPEB_H2_8500.gz')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2.18134244332e-18\n"
     ]
    },
    {
     "data": {
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A9udYvqKTKywiqeydqCW0NuARtTbn1ik3/khUscvdlEs37IvC57kb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\nAAAAABIQAgEAAAAk8P82teERCp81EwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f37beb919d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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wybzGDgZ1PUio7Zx9iG0Hgra1zvruo33X15AuQjYJxO4zgLtLffqA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\ngCAQAAAAQAf+f2Af8JiUivJXAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f37beb91810>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "healpy.cartview(d[10])\n",
    "healpy.cartview(d2[10])\n",
    "print np.min(d2)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 1.94 s, sys: 181 ms, total: 2.12 s\n",
      "Wall time: 2.12 s\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "array([[ 0.,  0.,  0., ...,  0.,  0.,  0.],\n",
       "       [ 0.,  0.,  0., ...,  0.,  0.,  0.],\n",
       "       [ 0.,  0.,  0., ...,  0.,  0.,  0.],\n",
       "       ..., \n",
       "       [ 0.,  0.,  0., ...,  0.,  0.,  0.],\n",
       "       [ 0.,  0.,  0., ...,  0.,  0.,  0.],\n",
       "       [ 0.,  0.,  0., ...,  0.,  0.,  0.]])"
      ]
     },
     "execution_count": 66,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def ReadFits(fname, length):\n",
    "    d = pyfits.open(fname)[1].data\n",
    "    return np.array([d.field(i) for i in range(length)])\n",
    "\n",
    "%time ReadFits('/data/galprop2/output/bremss_H2R_ring_1_healpix_54_NSPEB_H2_8500.gz', 38)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "d1 = pyfits.open('/data/galprop2/FITS/HI_NS_galprop_r8500_interp1.fits.gz')[0].data\n",
    "d2 = pyfits.open('/data/galprop2/FITS/HI_NS_galprop_r8500_interp0.fits.gz')[0].data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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gqJzUWOt4rmxczrdOQ3eczi7TlrGMCETgZUShLV3/+jxLoP1OZIZxOZggG5eA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\nMnlI93KQIWP9tr322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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f37beee1450>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7f37be8fa510>"
      ]
     },
     "execution_count": 80,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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W8Vw5uFxvnYbuGM0u05axzAhE4GVGoS1d//d5lkD7ncgM43IwQTYuAb3K0LRo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\nAAg/pREAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f37beb74390>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(np.sum(d1, axis=0), origin='lower')\n",
    "plt.show()\n",
    "plt.imshow(np.sum(d2, axis=0), origin='lower')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "('SIMPLE', True, 'Written by IDL:  Mon Jan  3 10:37:25 2011')\n",
       "('BITPIX', -32, '')\n",
       "('NAXIS', 3, '')\n",
       "('NAXIS1', 720, '')\n",
       "('NAXIS2', 360, '')\n",
       "('NAXIS3', 9, '')\n",
       "('EXTEND', True, '')\n",
       "('CRVAL1', 0.25, '')\n",
       "('CDELT1', 0.5, '')\n",
       "('CRPIX1', 1.0, '')\n",
       "('CTYPE1', 'GLON', '')\n",
       "('CRVAL2', -89.75, '')\n",
       "('CDELT2', 0.5, '')\n",
       "('CRPIX2', 1.0, '')\n",
       "('CTYPE2', 'GLAT', '')\n",
       "('CRVAL3', 0, '')\n",
       "('CDELT3', 1, '')\n",
       "('CRPIX3', 1.0, '')\n",
       "('CTYPE3', 'Rband', '')\n",
       "('DATAMIN', -0.00843384, '')\n",
       "('DATAMAX', 293.666, '')\n",
       "('BUNIT', '10e20 cm-2', '')\n",
       "('PIXCENT', True, '')\n",
       "('HISTORY', 'N(H I) from the LAB survey, Tspin = 125K assumed', '')\n",
       "('HISTORY', '3rd axis is range of Galactocentric distance (kpc)', '')\n",
       "('HISTORY', 'Rotation curve of Clemens (1985) with Rsun=8.5 kpc, Vsun=220 km/s', '')\n",
       "('HISTORY', 'Rmin, Rmax values for each annulus are stored in the extension', '')\n",
       "('HISTORY', 'Emission at |z| > 1.00000 kpc is assigned to local annulus', '')\n",
       "('HISTORY', 'Written by rbands_hi12_v5.pro', '')"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pyfits.open('/data/galprop2/FITS/rbands_hi12_v5_hdeg_zmax1_Ts125.fits.gz')[0].header.cards"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "nuc_g_2 2.38735\n",
      "control_diagnostics 0\n",
      "nuc_g_1 1.87944\n",
      "iso_abundance_15_031 4.242\n",
      "iso_abundance_18_040 0.001744\n",
      "d_lat 0.25\n",
      "cr_source_w_01 0.1\n",
      "Ekin_factor 1.2\n",
      "K_capture 1\n",
      "use_Z_30 0\n",
      "B_field_name galprop_original\n",
      "iso_abundance_27_059 2.214\n",
      "source_model 1\n",
      "D0_xx 8.3e+28\n",
      "ISRF_healpixOrder 1\n",
      "spiral_fraction +0.0\n",
      "iso_abundance_10_020 312.5\n",
      "verbose 0\n",
      "SNR_electron_sdg 0.00\n",
      "iso_abundance_10_021 0.003556\n",
      "electron_norm_Ekin 3.45e4\n",
      "iso_abundance_14_030 24.68\n",
      "DM_int0 1\n",
      "network_iter_compl 2\n",
      "iso_abundance_17_037 0.001167\n",
      "iso_abundance_17_035 0.7044\n",
      "iso_abundance_19_041 0.0003339\n",
      "iso_abundance_19_040 3.022\n",
      "gamma_rays 2\n",
      "iso_abundance_02_003 9.033\n",
      "iso_abundance_03_006 0\n",
      "iso_abundance_03_007 0\n",
      "SNR_nuc_dgpivot 5.0e3\n",
      "use_Z_27 1\n",
      "GCR_data_filename GCR_data_4.dat\n",
      "source_radius 0\n",
      "skymap_format 3\n",
      "cr_source_z_02 0.2\n",
      "cr_source_z_01 0.1\n",
      "iso_abundance_14_029 35.02\n",
      "t_half_limit 1.0e4\n",
      "n_source_values 0\n",
      "dz 0.25\n",
      "cr_source_w_02 2.4\n",
      "dx 1\n",
      "dy 1\n",
      "iso_abundance_10_022 100.1\n",
      "X_CO 2.0E20\n",
      "iso_abundance_07_015 5.961e-05\n",
      "iso_abundance_07_014 182.8\n",
      "dr 1\n",
      "source_pars_elec_7 0\n",
      "He_H_ratio 0.11\n",
      "iso_abundance_19_039 1.389\n",
      "renorm_off 0\n",
      "network_iterations 2\n",
      "radioactive_decay 1\n",
      "use_Z_13 1\n",
      "B_field_parameters -1,-2,-3,-4,-5,-6,-7,-8,-9,-10\n",
      "network_iter_sec 1\n",
      "timestep_factor 0.25\n",
      "cross_section_option 012\n",
      "use_Z_10 1\n",
      "iso_abundance_13_027 76.42\n",
      "DM_electrons 0\n",
      "integration_mode 0\n",
      "iso_abundance_16_032 89.12\n",
      "iso_abundance_16_036 0.0004281\n",
      "bremss 1\n",
      "iso_abundance_16_034 3.417\n",
      "use_Z_16 1\n",
      "iso_abundance_25_055 1.273\n",
      "iso_abundance_05_011 0\n",
      "iso_abundance_05_010 0\n",
      "iso_abundance_22_048 6.05e-07\n",
      "use_Z_17 1\n",
      "Ekin_min 1.0e1\n",
      "use_Z_9 1\n",
      "DM_int4 1\n",
      "B_field_model 050100020\n",
      "timestep_repeat 20\n",
      "use_Z_1 1\n",
      "use_Z_2 1\n",
      "use_Z_3 1\n",
      "use_Z_4 1\n",
      "use_Z_5 1\n",
      "Ekin_max 1.0e9\n",
      "HIR_filename rbands_hi12_v2_qdeg_zmax1_Ts100000_EBV_mag5_limit.fits.gz\n",
      "total_cross_section 2\n",
      "rigid_min 0\n",
      "LoS_substep_number 1\n",
      "electron_norm_flux 0.49e-09\n",
      "inj_spectrum_type rigidity\n",
      "iso_abundance_06_012 2819\n",
      "ionization_rate 0\n",
      "v_Alfven 32.7\n",
      "source_parameters_0 .2\n",
      "source_parameters_1 1.9\n",
      "source_parameters_2 5.0\n",
      "source_parameters_3 30.0\n",
      "source_parameters_4 100\n",
      "source_parameters_5 0\n",
      "source_parameters_6 0\n",
      "source_parameters_7 0\n",
      "source_parameters_8 0\n",
      "timestep_repeat2 0\n",
      "COR_filename rbands_co10mm_v3_2001_qdeg.fits.gz\n",
      "iso_abundance_12_026 104.7\n",
      "iso_abundance_28_064 0.3039\n",
      "diff_reacc 1\n",
      "max_Z 2\n",
      "iso_abundance_08_017 6.713e-07\n",
      "source_pars_elec_9 0\n",
      "source_pars_elec_8 0\n",
      "source_pars_elec_5 0\n",
      "electron_rigid_br0 2178.46\n",
      "SNR_nuc_sdg 0.00\n",
      "LoS_step 0.02\n",
      "source_pars_elec_1 1.9\n",
      "source_pars_elec_0 0.2\n",
      "source_pars_elec_3 30.0\n",
      "source_pars_elec_2 5.0\n",
      "iso_abundance_22_047 8.947e-06\n",
      "iso_abundance_22_046 5.558\n",
      "rigid_max 1e100\n",
      "uniform_emiss 0\n",
      "y_min -20\n",
      "source_pars_elec_6 0\n",
      "iso_abundance_28_062 1.426\n",
      "iso_abundance_28_061 0.5992\n",
      "iso_abundance_28_060 11.9\n",
      "iso_abundance_22_049 5.854e-09\n",
      "iso_abundance_21_045 1.635\n",
      "cr_source_y_02 4.0\n",
      "secondary_positrons 1\n",
      "cr_source_y_01 10.0\n",
      "x_max +20\n",
      "use_Z_28 1\n",
      "electron_rigid_br 2.20561e+06\n",
      "use_Z_26 1\n",
      "use_Z_25 1\n",
      "end_timestep 1.0e2\n",
      "use_Z_23 1\n",
      "use_Z_22 1\n",
      "nu_synch_max 1.0e10\n",
      "use_Z_20 1\n",
      "v0_conv 0.\n",
      "IC_anisotropic 0\n",
      "SNR_interval 1.0e4\n",
      "DM_positrons 0\n",
      "lat_substep_number 1\n",
      "source_specification 0\n",
      "y_max +20\n",
      "output_gcr_full 1\n",
      "nu_synch_min 1.0e6\n",
      "iso_abundance_20_048 0.1099\n",
      "primary_electrons 1\n",
      "propagation_X_CO 1\n",
      "D_g_2 0.33\n",
      "iso_abundance_20_040 51.13\n",
      "iso_abundance_20_043 2.117e-06\n",
      "D_g_1 0.33\n",
      "iso_abundance_01_002 0.\n",
      "iso_abundance_20_044 9.928e-05\n",
      "iso_abundance_01_001 1.06e+06\n",
      "comment the\n",
      "use_Z_8 1\n",
      "iso_abundance_20_042 1.134e-06\n",
      "iso_abundance_11_023 22.84\n",
      "use_Z_29 0\n",
      "iso_abundance_06_013 5.268e-07\n",
      "single_component 0\n",
      "damping_max_path_L 3.e21\n",
      "n_B_field_parameters 10\n",
      "iso_abundance_02_004 7.199e+04\n",
      "use_Z_12 1\n",
      "proton_norm_Ekin 1.00e+5\n",
      "p_factor 1.50\n",
      "use_Z_11 1\n",
      "electron_g_1 2.41769\n",
      "electron_g_0 1.6\n",
      "use_Z_14 1\n",
      "electron_g_2 4\n",
      "nuc_rigid_br 11491.1\n",
      "use_Z_18 1\n",
      "use_Z_19 1\n",
      "lat_min -89.875\n",
      "iso_abundance_28_058 28.88\n",
      "lat_max +89.875\n",
      "prop_x 1\n",
      "prop_y 1\n",
      "prop_z 1\n",
      "iso_abundance_23_051 5.987e-09\n",
      "iso_abundance_23_050 1.818e-05\n",
      "iso_abundance_04_009 0\n",
      "momentum_losses 1\n",
      "prop_p 1\n",
      "prop_r 1\n",
      "iso_abundance_25_053 6.499\n",
      "use_Z_15 1\n",
      "use_Z_21 1\n",
      "nHI_model 1\n",
      "iso_abundance_20_041 1.974\n",
      "damping_p0 1.e6\n",
      "cr_source_x_01 10.0\n",
      "synchrotron 0\n",
      "E_gamma_min 50.\n",
      "source_model_elec 1\n",
      "DM_int1 1\n",
      "ISRF_factors 1.0,1.0,1.0\n",
      "r_min 00.0\n",
      "secondary_protons 1\n",
      "secondary_antiproton 0\n",
      "DM_int7 1\n",
      "n_spatial_dimensions 3\n",
      "electron_source_norm 1\n",
      "use_Z_6 1\n",
      "dvdz_conv 0.\n",
      "source_pars_elec_4 100\n",
      "use_Z_7 1\n",
      "IC_isotropic 2\n",
      "fragmentation 1\n",
      "ISRF_filetype 3\n",
      "DM_double2 80.\n",
      "ISRF_file ISRF/Standard/Standard.dat\n",
      "DM_double1 0.43\n",
      "DM_gammas 0\n",
      "iso_abundance_12_024 658.1\n",
      "iso_abundance_12_025 82.5\n",
      "iso_abundance_08_016 3822\n",
      "SNR_livetime 1.0e4\n",
      "r_max 20\n",
      "DM_antiprotons 0\n",
      "iso_abundance_08_018 1.286\n",
      "E_gamma_max 1.e6\n",
      "SNR_electron_dgpivot 5.0e3\n",
      "DM_int8 1\n",
      "DM_int9 1\n",
      "DM_double5 40.\n",
      "use_Z_24 1\n",
      "DM_int2 1\n",
      "DM_int3 1\n",
      "p_Ekin_grid Ekin\n",
      "DM_double4 40.\n",
      "DM_int6 1\n",
      "D_rigid_br 4.0e3\n",
      "knock_on_electrons 0\n",
      "DM_int5 1\n",
      "p_min 1000\n",
      "long_max 359.875\n",
      "proton_norm_flux 4.8e-09\n",
      "damping_const_G 0.02\n",
      "cr_source_L_01 1.0\n",
      "DM_double6 30.\n",
      "secondary_electrons 1\n",
      "cr_source_L_02 2.0\n",
      "start_timestep 1.0e9\n",
      "pi0_decay 3\n",
      "convection 0\n",
      "DM_double8 40.\n",
      "DM_double9 3.e-25\n",
      "p_max 4000\n",
      "timestep_print 10000\n",
      "source_values 0\n",
      "iso_abundance_22_050 6.083e-07\n",
      "source_norm 1\n",
      "vectorized 0\n",
      "z_max 6\n",
      "long_min 0.125\n",
      "warm_start 0\n",
      "test_suite 0\n",
      "nu_synch_factor 2.0\n",
      "X_CO_parameters_0 0.597733e20\n",
      "X_CO_parameters_1 -0.100183\n",
      "X_CO_parameters_2 0.001284e20\n",
      "X_CO_parameters_3 0.360597\n",
      "iso_abundance_24_052 8.065\n",
      "iso_abundance_24_053 0.003014\n",
      "iso_abundance_24_050 2.873\n",
      "nH2_model 1\n",
      "iso_abundance_18_038 0.6357\n",
      "iso_abundance_24_054 0.4173\n",
      "tertiary_antiproton 1\n",
      "iso_abundance_18_036 9.829\n",
      "DM_double0 2.8\n",
      "n_cr_sources 0\n",
      "nHII_model 3\n",
      "x_min -20\n",
      "z_min -6\n",
      "SNR_events 0\n",
      "iso_abundance_14_028 725.7\n",
      "d_long 0.25\n",
      "HICube_filename HI_NS_galprop_r8500_interp75.fits.gz\n",
      "cr_source_x_02 3.0\n",
      "use_symmetry 0\n",
      "E_gamma_factor 1.2996566\n",
      "iso_abundance_09_019 2.664e-08\n",
      "iso_abundance_26_054 49.08\n",
      "DM_double7 50.\n",
      "iso_abundance_26_058 3.335\n",
      "COCube_filename CO_PEB_galprop_8500.fits.gz\n",
      "DM_double3 40.\n",
      "iso_abundance_26_056 697.7\n",
      "source_parameters_9 0\n",
      "iso_abundance_16_033 0.3056\n",
      "timestep_diagnostics 10000\n",
      "healpix_order 8\n",
      "n_X_CO 9\n",
      "iso_abundance_26_057 21.67\n"
     ]
    }
   ],
   "source": [
    "import h5py\n",
    "\n",
    "def AddMetadata(fname, basedir, tag):\n",
    "    # Parse the galprop file into a dict.\n",
    "    galdef_dict = {}\n",
    "    with open(basedir + '/galdef_54_'+tag) as galdef:\n",
    "        for line in galdef: \n",
    "            if line[0] != \"#\" and line.strip()!='':\n",
    "                s = line.strip('\\n').split('=')\n",
    "                if len(s)<2: \n",
    "                    continue\n",
    "                key = s[0].strip()\n",
    "                if key in [\"Title\", 'X_CO_values', 'n_X_CO_values', 'X_CO_radius']: continue\n",
    "                galdef_dict[key] = s[1].strip().split(\" \")[0]\n",
    "    try: h5.close() \n",
    "    except: pass\n",
    "    h5 = h5py.File(fname, 'a')\n",
    "    galdef_group = h5.create_group(\"galdef\")\n",
    "    for key, val in galdef_dict.items():\n",
    "        print key, val\n",
    "        galdef_group.attrs[key]=val\n",
    "    h5.close()\n",
    "\n",
    "AddMetadata('test.hdf5',basedir='/data/galprop2/GALDEF/', tag='base')\n",
    "            "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "''"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import h5py\n",
    "\n",
    "h5 = h5py.File('test.hdf5')\n",
    "#h5.create_dataset('/fit_results/lonscan.', data=[])\n",
    "fa = h5['/'].attrs\n",
    "fa.create('spectra', {'name':1, 'test':2}.items())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[['test' '2']\n",
      " ['name' '1']]\n"
     ]
    }
   ],
   "source": [
    "print h5['/'].attrs['spectra']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([-20., -19., -18., -17., -16., -15., -14., -13., -12., -11., -10.,\n",
       "        -9.,  -8.,  -7.,  -6.,  -5.,  -4.,  -3.,  -2.,  -1.,   0.,   1.,\n",
       "         2.,   3.,   4.,   5.,   6.,   7.,   8.,   9.,  10.,  11.,  12.,\n",
       "        13.,  14.,  15.,  16.,  17.,  18.,  19.,  20.])"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.linspace(-20,20,41)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "DM.py:246: RuntimeWarning: invalid value encountered in sin\n",
      "  solidAngle = healpy.pixelfunc.nside2pixarea(nside)\n",
      "DM.py:246: RuntimeWarning: invalid value encountered in cos\n",
      "  solidAngle = healpy.pixelfunc.nside2pixarea(nside)\n"
     ]
    },
    {
     "data": {
      "image/png": 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AAABAAiIQAAAAQAIiEAAAAEACIhAAAABAAiIQAAAAQAIiEAAAAEACIhAAAABA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\nDFuE+Jn7KooAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fcbe8c3bfd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import DM\n",
    "reload(DM)\n",
    "\n",
    "\n",
    "import healpy\n",
    "m = healpy.cartview(DM.GenNFW(axesratio=1, gamma=1.25, nside=512,res=.125/2.), return_projected_map=True)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(1000, 2000)\n"
     ]
    },
    {
     "data": {
      "image/png": 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3UGc+2dyV/wr8SHboWuD/ajfq3y2vVJIkqSjDykSGygqqNVunAK8D/guptvoe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\nuGLkAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fcbe90a75d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "print m.shape\n",
    "\n",
    "psi = np.linspace(0,90,500)\n",
    "plt.plot(psi, m[500:,1000])\n",
    "plt.yscale('log')\n",
    "import pickle\n",
    "pickle.dump((psi, m[500:,1000]),open('DM_radial_profile_alph_1.25.pickle', 'wb'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7f5cd45bcc90>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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NKDL1Mi9tU86DWc+4cqmlHBqq5GtXaArNkNVdYpHHtvWVR6TOVEhMQ/FR3jaf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\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5cd4698b10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import DM\n",
    "reload(DM)\n",
    "\n",
    "m = DM.GenNFW(axesratio=1, gamma=.5,res=.125, cartesian=False, size=90,offset=(30,0))\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "m = DM.GenNFW(axesratio=1, gamma=.5,res=.125, cartesian=False, size=90,offset=(30,0))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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F+nr1ZQLlPI4wwERlEBAEYQNua49dy/oCZXU74bHfEaqEAiEcmSAIh9FWhWz6Z0AoeNXe\nq4T+UwBHJAgCDTRBt9tzlfDov1s4HkEQGKCrCfrIwWGPoVAYhCMRBIErdVUP2Sb9BuEoBEFgZkft\ne6g6CGyPW8wBK6re6mzPtz17HPu5pd2ef0+Av91AArcNz/fYpLzHKiGwJyqCQCbqlcK9/T916xXC\nPf5OAEEQyFi9KXnr9tRkDOzBHv5lBXZvb9PWbHlyaiOKYU9UBIGN2kMTsuogkJYgCEkIAPPaciDc\nanPxlq85cOFvMSTT9+X/QTxsQux6vsUmxiVsuel4y83FwFYJgpCtxyOed4XKDyrrND3fq3oo3MrU\nNFsLhPoMwpYJgrB7bSGy+nrvlcXqYBOBBeBCH0E4rLbK4uMYVmncqq30bdta38GtXFegyt9aoEVX\nGNxD5fBSHcy9SrjnSi2QmiAITFC/ddrW+rVd1OcnzDUQbun65n4tgSpBELhSWx/ELYSWui1UByO2\neW2BHAmCwEK22qSsojUP1xG2wGARYEVbGoyS8+CHrQ0kAXIlCAKJbCEMRuQfCHOX67UDIvwNBbKw\nhb6Fud61ZAv9BnPvewnHpSIIZKbefJyjHKuEOV8vIFe5/UsGBzH1r17TvHfV13urvDRNU5NT5Su3\n653b9anK7VoBEYIgbEx93rv6+03LtjBp8hDVPoU5hZ3crm3OTcW5XStA0zDsXjU8Vn+qy+rPc5db\n03GOTcW5cp0gJ4IgHFY9INbf24LcRh7nFAhzC8tAjgRBoKapglhflpN6GMwhAOUWCHOTy7UBBEFg\ngHrVMKegU9V2u7tUcrlGOVwLIEe5/CsFbFLTwJSc5DA/YS63WstxkE1E+usCx6YiCMwo92physpY\nDtdFZRB4SBAEFpJrKEwdCFPL7bPn9ucDjkUQBFbQN3VNCqkCYQ7hOLcwCKQiCEIy9VupNd1are/1\nVuUSBiPSXc8cPnsucgjHcEz+5kES9fBx7euqDyrr5DQ4oE31n6FUAwdSXauUd9rI+Q4kwFoEQdid\nvilUcrxn78UlGKUYUZoqGKUePZvTnwW3oIO1aRqGw+lqis5B0wTWa/6fNWXfQYB1+ZcHiPbgk0Ol\nqBoG914hTFUR00wMR6UiCHRoGtCSUopBBWtXCI8+cOLInx3WJwgCAzXdyzfliNsUgXDvcuwqACzJ\nf72AidrC4NpNqRdrNKmu2YSaehAJcAQqgpBM0//D9vB/s1SDUNacrHrNz5fiz4SqIBzFHr51YIO6\nAkvTe3cNy7ZQKapW0NaapmTNwSVrVQhTDCLJaVoZYCkqgrAJTX3i6rdt67q3b+r/8zU1I69Rdcrp\nDibX2sNnAHIjCMIudd3bN/Wo1LUHm6wRBtdqKjZABpiXIAiHUp+sOXUojGgejbyUNfoOLm3t35kw\nCHsmCAIxvIl5KWs2Ge8hDK5tj58JiEhfCgCylmpwSjV4LDFgoXpP4yU+1xqDSEwvA1xPRRAYKFXF\ncKlq1Fp9B/fCZNOwR4IgJNH1pbqlL9u1BqAs3Y9wy2FQww4wnX9BIKmuMPhBxzprzsvXpz4AJWLZ\n5tbL87k/+9LnvnQz8VpNxLn8uQPmIAhCtroqSV3Tr+TwJb1G/7WlAslS5750v8EUk04DW6dpGHbn\nccNPRJo+Xkv3J1xyPsKlz3kJW++3CaxNEIRDqDerprgf8FKBcMmpZ9Y457kJg8BwgiAcXlMoXDqo\nLBGwthautna+TYRB2Dp9BIGKtjC4ZL+2iHn7ti153nP3w1ty4MUafQZz6I8KXENFEBhg6abkJef0\nm+uc15h3cG7uogJ029K/aLAjU/7q1as7qUaJ1ke/zlXVagpa136++mCSHCtYOZ/bEKaTgS1TEYTN\naLqrR6p7A0es068w136EOVcuU9jyucOxqQjCrtT/St/FvBW2Nk3TuMxVJVqqH+G155fredWZXxBo\npyIIu1YPhk3VwyXny5uzUjRX1XPuuQdzrVpWrfF/flVB2CJBEA6rKRAu1eSZYyCckzB4IgzC1giC\nQGw3EF5rztHQwiCwPf5VgCTqX/IftLyXUlN/wznM2Y9wjXsaj7GFeQb1GQReEgQhC03Vn76K0NpB\nsRq65goTc089c805zXkuuYfBJW3tfOHYBEHYrFRBsT7f31xz/eUQwuaqVs5dqZw7XC1dFRQGYSsE\nQditrubnuUPFxVwhLGL6OebUXJxzM2zO5wasxWAROIz65M9L3DJuzoEm157bteeR2/QyWxs8YgQx\nbIEgCIe3RCic624n157XteeQWxgEmJd/nSCJrmbQlPeebQo+c4zsTd2P8JpzmOv3Mdd12FLfu62d\nLxyPIAhZmDJq+GLpL9o5gtBcU9FcEyzmGEiyxzBo4AgcmSAIm9cVGOf8As5l/r9rgum1A0mEwfGE\nQMiZPoKwa039/+bo95bD3Tiu7TuY4rhzHP9iK4MxtnKecEyCIBxGNbzNNUCkvs8prhnQcc1n2EMY\nnFNu5wOsQRCEJNpG1ab4Mp4rEF67r2sD4dRjTpVDGFxi+p8lqApCrvwXEJKbEgaX6M/VNgH1lD5e\nKfrxTT3mtf0Vr+kDl9Nt+pa2lfOEY1ERhE26bfiJmPf/dnNU+VI03W7leNccc85zqFMfgCMRBGE3\nqmFwrgmdq1IEwqmf4YhhcE6aiOEoBEHYvabq4bV941IEwpyPdTneVLmNInYPYjgKQRCSeFz7SeHa\nUHjN+U/Zbs3q4NHDoHsQw1Hk2CYBBzTly3HuCYUjrp9oeeyAgCkDCKZMfrzWcaYe69pjznX8uc8F\nyJ0gCJvVFh7nvBVcxPAwUJ9PcOh5TLljyZ7DIMB6NA3D7szd7HxNk+zY449Zf8p5baGZ+ChNxEAO\nBEHYvXowXHvC57HHHLu+MDjvsdeQ87nBsQiCkETbSN562FpiGpiIdIFwqfXHzqM4dbDKFKnC4FxN\n06qCsGeCIGSp7fZzc04DE3FdpXDKRNZLVgenTKq9VhicKvUt8C6W+NyqgpADQRA2b4k5AqdW45YM\nhGPkFgZThR5hC+gmCMIuzREO56gUDjnGmPMZex457HvqMa45FsAwgiAk0TWAY6lJpucIhWOPN2bf\nQ/a/5ECSvYbBnEcQq1hCav6rCdmofyn2fUnONV/gmHnyxs4ROHai6qHz742Zp2/MXIBj5/9baz7D\na5lkGmimIgibNdd8gVOakMced4nm4i1XBqfY6//bVQUhJUEQdqOpuXnqnHljg9PYkb1z7TOXMDiW\nJmIgD4IgJDFkDsHquteoh8IlqnjV4wzZ75h9znXcJY49Zb9T9p8TTcOwJ4IgZKcpGM41RUw1DKYM\nhCmbipeqaG2hiTjlLQeBHAmCsFlzTDA9pgl57HHG7HPIvuZsKl5iepsx+526/6nHmdvcVcGtVkdh\n+wRB2J2m29QNMWVqlr59jw2ZfYTB681VFQT2wN9mSGLol3F9yo+x06bUnw+p5NTPre94Q6YUGXre\nc+1rzuON2d9UU/Z/zVQuKaawAXKkIghZaxoBPMeI4BR9/oae95yVwTkHryw9eGRr5v6MmochBUEQ\nNq0tJA5RH4wy9Fh9+xxirmA5x7Eux5trX2P3OWXfU48B8JAgCMnNMRo4ovk2dWNC0Fz99OYcAJJj\nGNwLfQUBQRAS6Zs3cI4RwRdj5xGcaxDI0PPeWhjMrSq4J0f//LA+QRA25dqAOGZS6TX7/QmD0/Y9\nZf/XHAvYG0EQdmFKMBwT4uZqMk65/dj15tzPnptQDRqBLdvzv06QsTFfdh9U1p8ydcxF11QjQ/Zf\n3Wfbvvr20zeNTd+0Jn1Tpsw1Lco1U7PMYeznMJUMMI2KIGSvbRDIlCbEMU29Xfvv29c11b0hx+4y\n5NpsoYkYYHmCICQx1/1a68FtbN+/a0PV0oFu6rZ92w9ZPtdxxu5vyn7H7ntuQi5slSAISXWNEG7q\n8zdmWpahVblrR/ZeUx3cQhgE2C9BEDahXsUbO1ffHINCrq0OXnPcqdv2bT9k+RGqguYUhKMSBCGJ\nKXcCaVIPhXNM97JUMOs79pBtu47b5dqgM9cE2VOoWgLL8V84SKY+CGSIIaN663+trxnhe1d5bNq2\nbftrRgd3jYCdul2fuUbOjhnVPfRcx57X1Otg9DAckYogbErT4JA55t9r28+QfoR9Vb6u47ZZe7sh\ny+duIh5qqUrjEtQWYGsEQUhiSqAbsr82Q+9GskQ/wL7jzXmsa7YbsnzOMDgmNE2pCgL0EwQhK20B\ncWhQnKtSeE1fvrHHyy0M9kkRstaqCG6l8gjMRRCELEy5LdyQwDd0gEbqYHftNDFj9V2zJfdftcfK\n3R4/E+yXIAhJNDXT9s0h2GVMKOw6p7Hbzb1Nm7UD5BxNxHMb231AIAP6CYKQvbEBsRoYmoJDVzWx\na/9t+xyyTV0OYXDpZtChwW3JvoJTaB6GIxEEIYm2IDam6tNUTazvq+tYfcfs22fbOTXtf+i6Xet3\nWSIM5loVHCNVVVA1ErZCEITkmoJaU9Wub4qXy/O5g8/Y5t+2MDh03Snn0rXNNdYaRZxbcLr2Wk6d\nzxFYmyAISYzp/xfRHhKH7L+pqtdW2RtTHWw6t+r6S6zbtf7c28xlzCTTS8gtZAI5EQQhqbb+f0MH\ni/SNIB7adNy036ZlYwPe0KbiufoYdknVRDx2kEefLfThEz5hKwRByN41g0Xa9jVkm7GDQ5bqNzhX\nszLjuI5wBIIgJNE2H2BXda9uyByAY5t629YfGtzWHkSyVh/D3PoKmkoGmIcgCFlrGzRS11ctHNJ0\nXF+/bR9Nx+7btmm9sevOZeq+c6uQrTGVDLB3giAkMaRPYN9cfkMqfkOqfn2DStqajOvHG7LtHM3E\nTeuN2W/bvvu26ZOiKpgzVUjYAkEQstM0P+CYfoFrDPC4ppl2TP/CIfvrOv6UsHRNE/HeHO3zwvEI\ngpBE0fLTp2/QSL1i2LZdtKxXXb+uvm5T8Lymf9/aA0KWqFjNVRVcggod8CpBELLSFhC7QuKQASN9\n2zQ15Q6pDraFwTHNumPX6TJmAEyX1FXBnJqHl24uB1ISBGEz+gJiV7VwbOVv7Dpt200JAlPPs2vd\nNqmqgqnkfG5ACoIgbF5XxXDIII62JuYh69T1VY+uDXlT1xu7bt/611bi5hw0AjCdIAi70daMPLSp\ndkjYa6o0Dtlv1/KmdYbsp8scA2S2woAOYDpBEHapq+m4qm2Kl76w19fsvGYYnKOJ+K7l/a7+hX3T\n0/Qdf0sBbkvnCowhCMLudfUlvBgS9rqWN60zVxgc4tom4lyrgnvow5jjdQUuBEFIoWlMx+Lfl23N\nxhdt/Qfry9u2j4blQ9Yf268wxWCQKVXBOY/fR8UOmEYQhBy0zR+9SEgc0oewa27ArrBY37ZJ34eZ\nqz9jlzmak6ccd85tl9wXcBSCIKTQFfjqGadr2WRtfQir+iaKHhoGp1QS52wiXroquLSh5+/ew8B4\ngiCk0BX42taprztblXDOMNjVr/DaJuC5Q95aVcEcm4fXrnwCuRIEIbWm6uDQqmDXNqN0DSapVvSG\nDDQZGgaXCiNLVgWXcITm4ZyvPxybIAgpDG0a7gqIXdXCSYYMJpliTBiccneSNauCuTcPp94nsDWC\nIKQwZ9NwWzCcpTpYP3DXiOK2bfqMHfSxxj2Lp8iheXjpfoK5VhyBqQRBSG1K03DbtvV1JjcZdw0k\nqTcVV9+vGtNfcOzgkalNxNest6S5ziGHzwJsiSAIKXSFvyFNw20Bry081pcN1jWQpOn9MfMQzjVS\neMz211QqL3JvHs41DGqKhhwJgpDCkDDXVc1rqwpGw/OmfY7SVRlser9v2VA5VwWn3nZuznMAuJ4g\nCCl0NfH2ve4Kil39BLv6I/Zqu2fxlImlr6kKTlmew51JcrX3zwf0EQQhlanNw/X3ul73PR+lPojk\nYkj1ryskjulb2HXsXOQwaGRJOV5zYCpBEFLo6gNYX29qKKwep+390U3FQ5qJo+X9uUJQX+Vxal/B\nuZqHl7SHIAnkRBCEFMZUALvCW1/TcH1/9febtuvVFwbrO7u2ibjpFnVjXTOdzJrhy+hhYF2CIKQw\nJgT2rVvfLlrWqb/ftbxXdXqZoc3BTQccGljq8+P1VQWnym0/AMsSBCGFMSEwojmwDQl7Xc3FbQFw\nUgHsstFtKmqCAAAgAElEQVSU0bTVdYZOPTP0fPrOIUVTa27Nu2ueT26fHfC3ElKo/s27i/a/iV3L\nhqx3ef+ucty7hseoPR+siIiy9t4lcH3QsdPq+49jnjtizLWfJm2fY8ljjj2XuhTnBmyNiiCkcG1z\n8Jj+hE3HG7pskKFNxEMHdcw1P+HU/+fO0SfxGpqVgfWoCEJKc/wNbKrsta1TX39otXCwvkpftVpY\nf3+NqmDT8qYPmnuFMrU9fzY4FkEQUvhQdIesrlB3Wd71t7ce6C7q2/QFxOqyTk1NxFVDmoirqkGj\nvk7XsqH7n2LO5uE5zwtgOk3DkMKlOfZDledjB47M0fzbNsgkWpZ1amoiHjN4ZKkm2Sn/39U8CxyD\niiCkUg9iXfoqe0O2v2zX1pR8VUWwrqmJeEhVsFpZG1r566oYNhnaPDx0vT3Y6+cC+qgIQgrVql5T\nVbDr/a5qYVSej6kgtm1XP+debZNNN73XVhVs07Vtrv+nnVpZ7Ntu6OdV2QS65fqvJ+xbU+iqF2Sm\nVgv7lrf1H+waKDJqAEnblDJD+9EtMRBhbNWQ5ag+Qk4EQUihrR9eW0hr0rRO0+CPy/NoWNb12Lb+\nKEM3GjoQY+j+1g56BowA2yQIQgofGrBOU0gcamwYbDrOkOetukYRV0+grR/gkGA1NSS2ya2fYN81\nECSB6wmCkEJbk3C9Gjj0u76tmXfKsqbz6Bps0uoSBi8rT63SzbXd0sFp683NY6/P1j8vECEIQhpN\nAzbmzihjAl/9vPqqhZO1TTI9JlCMrRyOOZcp57DkcQCWJQhCCk1Nw9cGrSF9BqvHatqmKyD2VQsb\n1auCVX3vVQPU0DC1taqW5l0gLUEQUuhrGu67DdwY1wbEyaOHp1ozHE2dT3BLcjx/ARhyIQhCCn1N\nw01Bcch3Z31ASPX9rn5/TdsP7RfYe171gSNNA0SWauJdu58gwLYIgpDCpWl4aOAa+t5FVxWwafRw\n2367qpKjM9WUvn1t680V6Naqlq09UGYtuZ8f0EcQhBSqfQTbBmhc2wzbVh2sLm9a1lWBvLppuGvD\nvlvKLdVPcOr2OTQjq3AC1xEEIYXb2mO9ybYvjEXD+23aBnm07WNI03F13UHBsG9ewa6NpwwaGSN1\nVUuYA9IRBCGF+qjhroEZ1ed3MT0ztE0J07Re2znVz6vp9WDXBrChTc1zBL3Ut8gDWIYgCClcgmDT\nXH/1UcPXhL8+bfsdMjBkciAc2jy8FBW4dq4NHI0gCCm0BcGIiKcx39/Mvqbgrv6DTcuvmcZmdPPw\nNXMC1rfdc5VOeAOmEwQhhbYgeHde1lQRvPxcguLTjv13Ve2a1msypio4eQTx0DuNtPUTFIIAriEI\nQgpdQbCpafhpw7YfiuYw2DYauLr8ol4tHDKQZMjUMq26qoJr6qsYLhEwU1Yl91wRBa4hCEIKTbeY\nqwfB+vr1QHh5v6syWN9/RHvY6xuhPHZy60NwIYBtEwQhhfo8gk1NwFF7/TSag9/Qql7bHUSa1q2e\nV/15m0XmGLwmaO0lpJmbEFiOIAgpfPj82NQ0/DReDYLVEHgJkZdAWP1b3BUKL+9V15vSf3C2Sa/H\n9hMcYsnQpHkV2B9BEFLoqghG7bEeAp9W9lEfYdwVCqvvDa30jV1/UddOLL1mkGs71tK3zAMYRxCE\nFD58HjBxe/7yv7uNuCteHRFcD4aXMFgNZk3hr6lPX7S8HjJxdNeE16MzzNwDRoQogKkEQUjg0Yff\ni4iIm9v7uL+7ied39xF3NxG3txFPi9NK1UB4CYjVKuDlsSkI1h8jukNffd22darr9o0qnk2qoCdg\nAvsnCEICr1eCYETE+0+fxP3d7SkUxusRt0XzhtWm4EsIvITDanWu+hjRXiGsmjPzTJ5Gpm9D/fQA\n5iQIQgIf/gc/j/u4jdfi/biLm3jy2rN49v6TeP/pk3gWEc+fPjmv+bh5B5dgd1t7Xl/eNKgjYljo\nGzPNTNf7vQdJVXWbcveRVEF0jwFYxRVyIAhCAh+Jh0HwWbwWN6/dxc3tfdze3sf750rh6av/8cOw\nVw191XBXD4V9FcGuKmFX03FfP8FJfQfnHDlcJWwsb48hFY5DEIQEXg2Cz+JJPIlf3tw/GFF8aiqO\niLtKZbA+UKSpKlh9P2J8YKu/N/cUf52OGt6O+rmBlARBSOAj8YuIiLiJu7iP23gWz+ImXo/zm3Hz\nD+7j/v4mIiLei4jnl1HFlz6BbRXCetBrqgjOEeqaAiUAmyMIQgJvxE8jIuI27uP9eC2exZO4ifu4\nqSaqm4j4UMTd3U08ffok4kPnqmBTRbApAHY14e46vB3xThw5nAOwRYIgJPDfxU/iLm7itXgW78Xr\n8cv4lbiJU7/A+/Nfy/u4jbubm3h2+yQefejZqSp4W7za/NvWHBzxsCJY1zS3YN8t6Zr2kcUE01MJ\nUMCxCYKQwMfjJ3EfN/EknsXr8V78PD4SN3Ef9+e64H3cRMSzuI+bePahZ/H+09fi+e1dxO3jYfMG\nVkNhX5/AbJp5u4Jd34ktdeKCIrBvgiAk8I/iP8f78SRei2cvQuBd3MT78STuXjQS38RNvB43N/fx\n2ofejw+ePom4vX05x2BXJbBqyJQxTaOHp1QBR+Wmue8w0kaYA2gjCEIC/zj+U7wXr8fr8V78f/Hf\nR0TE+/EknsVr58Ejr8VN3MRr8X48iyen5uHb+5dVwYhX5w6sVwUvz2e5LRwAeyQIQgK/Fn8TP4+P\nxGvxLCJO/QFPfQVfj/u4iffiV85h8NxQfHv6eX57fwqCbX35muYSvFb9X4lNB0hz3gFUCYKQwP/4\nd/8x/subH46IiPfi9fh5fCRej/fiyan+9yIgXoLgK7qmjWkzW5PuACqOAJvwKPUJwBEV/1fEP/x/\nfxH/8D/9It6In55D4PvnnoF3L8LfZTqZm5v7uLm9i0e3DaEQACYSBCGF/y0i/p+I+PuI1+LZi+B3\nG/dxW3ne6LZlgEVffV/9H4AaQRBS+N8j4n+IiI+eBomcpouJF/XAy/NGd0XL+z3H1FQLQI0aASRQ\n/s/xoo/gz+Jj8V68/mLE8OnnFAJfTC59fxP3d7fx/K4lHALABIIgJPB/v/lPX4wa/kl8PH4eHzmH\nwdNwkZdTydy8CIUP3FV+IoZV+7rWmbtaqPoIsAmCICTww/j1B/MI/izeiJ/Hh+O9eL1SHXx5l5H7\nu9NP3N28GrLuGp7fxXxh7C5eDZ6bZeoYgCpBEBL4T/GPH9xZ5BQEPxLvxa+c5xB8cr7TyGvxfrwW\n93c3p2bhu9v2YNZUHWwLjZsPdADMQRCEBP5z/KMX9xr+ZfxK/Dw+Er88Tyj9y3NVMCJO1cD7m3j/\n6WvnamDR3Czc1+w7ZiDJkP1NWfaKNW4vFyH1ArQTBCGBn8TH4y5u4rV4dr6jyK+8aBZ+L14/jyS+\nPfUVfPrk3Cx82xwCI16tElbXuW3ZJhpeJ81MXc22qYZEC5HAvgmCkMB/iY9HxGmuwPfjtXgWT84h\n8NQ0/MtzRfDZ/Wtxd3cTz58+ebUaOKQy2FXda2tari9fc5DJKHP09xP0gGMTBCGBn8XHIuJ055D7\nuH0QBH8Zr5/6Bd7fxLOnT+LZ09dO1cCncfrpCoPR8DriYViMhuW7svaAkBwuZg7nAGyRIAgJ/Dw+\nHPdxG6/F+3EXN/EsXov348mpf+D96/Hs6ZOIiHjvF6+fqoFPK9XAp+edDA2EQ0Lg2ByRTXMyANcQ\nBCGBn8dHXlQCq0Hw2f1r8ezpk9PgkIhzCHz8shp4qQhGdDcNjxlRPCQYzhEeBztqsjzq5wZSEgQh\ngXoQvI/bePb+k3j/3BT8/FwRfBECmyp/Te9Hz/OoPe+qINYNaXJue69XU3OuPoDbYG5G2DJBEBL4\nxX/7SEREPLs9Bb73nz6J+7vb03yBv3g9XtxP+GnLT0Rz4BsS/IZmo7Zg2BUUR0sZ1OrHHhJoUoWe\nPYYtIR1yIAhCAu/94jQq+Ob2vjJZ9HmKmKfFKezdxqsBsCn81ZuL64991b8x4XCo3v21zSHYt+Ee\nAxFAOoIgJPD8HASf356Dz93tqQp4CXXVql81AHaNGu6qEA6pCI4JhrNWBfukqhypWAH7JwhCCr84\nN/3G44cTPjdV+J42PEZ0B8FoeN72ui34dW1fXT46L819RxGBDWAqQRBSqIa528rzpiDYFAYj2quD\n0fJetLzuMnb9RX3Q8nzK9ktrO1bb+8IskIYgCCn8ovK8XhFsC3RjKoJjA2HXunVNwfCqgSJzjhhe\nMuzpnwjsjyAIKTxteG9IZa9tHsG2ber7j2gOhEOahvtcFQrbNrymUraXKtsR75QCrEUQhBS6mobv\nKu/XA2A98A0ZPNJWDWwLivX32gIk4UIAWycIQgpjg2C9KniZWmZoH8Guqt+QamJ1/frzUQFx7oEi\nU9VPtF51WyLgpWxa1qwNNBMEIYW2IFhfNuWnamo/wKZtm96f3Bw8tn9g20ARFTmAawiCkEJXEOyr\nCA6p+g2t8nVt17SfaHg+WFc1cI7+gV0Bcc8VMWEYmE4QhBSqg0Xa+u9Vg2B9Wf311GVtxlQD+7YZ\nvPOIdQKb4NTOtYGjEQQhhUsQrFcDL8+7Ql3TekOCYP04bceqL6ubHADrrg191QN37WuOcDlmH3uu\nPgJ7IwhCCl3NrfWKYPW9IWGw/n7b/ruqfkP7AQ7uIzi2Wbjq2omk+6QObqpwQDqCIKRQrQh2hbWm\n94YGwaZ1mvY9ph/g4ODXZmizcNN6QwPbtcFq6PbXnONchEjgOoIgpFBvGo7ob75tel59ry8k1vc9\npOm3r3I5ytCm3Kqlb8m2VnDL8U4pc8j9/IA+giCk0Dfooq1pOFoex4TAtnX7zq+rKblTvVm4qfJ3\nTaAY0z9QBQ2gShCEFIZW/+qPQ/v89TUHN+2vab22gLhonlozrD2O+Zqkc5Xj+QvkkAtBEFIY2zR8\neRzbn7Bpu6HL216PCoOXamBfG3TTe1MGiYwNGKlDkkAEpCUIQgp9TcNNr8cGwb5lbcfqC6RXGXon\nkS5T+hoOPZcp57DkcQCWJQhCCkOqf00jirsqc119/8YsG3p+verVwLUHTKzdP3DrgW9r1VRgDoIg\npNDUNBzRXdmrPrYtqwbIoSGw6fhDn7caOm9gW/+8ISFj7qA3tH/gWs25fddAszJwPUEQUujqHtcX\n9urbjOkf2NeM3Hb8tnPuNXSjtvWmhr21q1VTjifIAekJgpDC2ErckKbaIdsNaU7uO06vpmpg6lu0\n1U9cs2Y6AjDkRBCEFIYMFpka0MaEvSmhs1M1BHaVPSPGDxzp2jbXcLFUv8hcK6PA1giCkMrYwFXv\nA9i2jzHLxmw7SlNo6/pgF9V5/frm92tb1hd+hvb7S9k/cG17/VxAH0EQUrir/LQtb3tvSHPu0DA4\ndptOTXMGtoWyOaaRGWpKyFFJA45BEIQUnvavEhHjmpD7+g82jSZuO8boimDXKOGuHQ0ZJNJV8es7\nwTkrXUMHtFyzL4B1CYKQ0pgcc+0Ak8VCYNtJjan6zVWBm6tZuH7ruSXOZcv2/NngWARBSGFos2tf\n/8Ghg0iu6UPYq+s2ctX3hw7wSF0NTB1yUh8fOBJBEFIYMyL3mqpg2/PJ/QDr+qaKGdIkvFY18Bpz\nNgtfy4hhYD6CIKTQN7NK37IxfQfbng8JjoO1Vf2i5/2uda4JizmPAs6tf+Ca55PbZwcEQUhh7NiJ\nvuA4R5Nx1/Ff0TdfYNv7XU29Xep99qbup09u+wFYliAIKYyp/lXfv41hAbD6fGzFsFdbCGybL3BI\nlXDOamDfsZqO0WXNKpYgCqxLEIQUmkJd23r110MHkAx5Pjrj9IXAujGDO4bqC5pDjjO06bhLzv0D\nAYYRBCGVplDXtl7fe9cOIhmkba7AsYND6ttcUw3MsfI19DZ5W5XjNQemEgQhha7g1lQpHDq4ZMoI\n40GGVALnbhJuMmX5Nfcl3kNw67L3zwf0EQQhhSF9BOeaUqbp3sSjXBsC55rPb8oAkaHVq7maha+p\nBqq0AesTBCGFa8cpDHm/b4TwIGNHB49p5r2mUtd3Htes07duqsC29fkDVR8hR4IgpDY0v0xpMp78\n3VvvDzikEjhnCMy5GrgEo4WBNARBSKEtwN12rNM16KNvWplR5g6BfcaGvCFTwaSYPDqHQSJz3CO5\ni6AJeyMIQgpDm3yn9BOcrQpY39nUENBVDVxqKpih2j7TVpuFU+8T2BpBEFKbu2l4kq6+gH0DP6Y2\nCU85+alNwjmHnjnDZa4Vu5yvPxybIAgpzNk0fLW5QmBfdW9sk+/Szb1jq4FT9jV1f1OMCYFLhXBg\nawRBSGHMaOC2auBV+pqBI+YLgVP69M015cw1+xqy7zUMPf+l+wcCeyQIQg76wt6iIfDaSt/YwR5L\nTQo9JgStVQ1cctsl9wUchSAIKQy9U8ispgwGGbO8aZ0lpoFJcWeQKRNIz3n8PkIgMI0gCLs3tgLY\ntN5aIXDOJuEx6+Y6mGEPo4VzvbZAhCAIOzWkD2DEPHPyNS2fKwRe0yQ8JoC0tct3BcxrB4hsqYq3\npXMFxhAEYTeawl/E8DnxpgSx1CGwzZh5ALdesRLSgOkEQdi8tgAYsX4lbo67ggzZz9j1xq7bt/61\n4WvI9lsPqMAWCIKwGV2BL6I7OIxpPp0rBC49BcwcTcJ76IM3Rs7nBqQgCEJW+sJekzkC4Jgm0/oc\ngfX5665plr226fbaaWWGbLNGU+zQz7zGuVxzDMETcicIQhJTAl9E/xdrUzDr2u6aSuEHDe+vFQLn\nCECpqoG5T0wNHIkgCNm5fGGPuZ1I15085hg4MeR2cXMOSulyTXi9Zv9T97dlR/u8cDyCICQxJOC1\nBZshtxIb01zcdluTMZMoD9322r5+c1UNl6g0zlUNzKlZ+BoqkLAFgiBkbejI3CFNxk3uao9jjzt0\n26b1xq47lzUmrV6DewsD1xMEIYk1+rjNWRHLIQTOUQ2cMrCmb1nffofuY+h+hu5ryn6BoxEEIXtj\nv8TnCoBrDjyZa92u9RnHdYQjEAQhqWsrNUMqVV23T2trXmwaEXzZ39DzSFXZa5OqGjh3oNpCQFOB\nhK0QBCGJKVW+x5XnY/bf1Xw7ZDRw0z76tsmteXdqCJzD0L58S4UnoQxoJwhCctWQ0BX2ukLObeX5\n0GON2f+16y+5775trpFb38C1XHstx0x9BKQkCEISYwdlNOmq+l32NaQaNTbQde0zVR+/Kf0i+7ab\nIwTObSuDRIRA2ApBELJ3zWCRMZXFvmON7TfYday15v5L2SQ8dP9jfr9rTBmzhT6IwFwEQUii/uV/\nbVPakC/vqRWutcLZmiGwj2ogcAyCIGRhqfnjlhzxuoVA12bp28gtUQ3cij1+JtgvQRCycm0ImdrH\ncMx+5t5uzWP1bTfEFqqBuR8HyIUgCEmsPbfcXBXHNaduSREC1xolPHRfF2P7BqrKAcMIgrApUwLk\ntc2/ff0XcwpzWwmBY2ypSieAwtYIgpDM2Emi+wwJbfXj9+2v+jhl2ynHXiIE9pkrbC0xefRa1cAt\nBU5gLoIgJNE2FctY9S/9OW53liLELbntkO37pKoGLrlfAEEQNuISRMZOMzNnJWmpILdU8Byy/ZDl\nc4fApX5/Y/d9zXHmPDaQkiAISY398px7sMLQYJkqyKUOgQD7JghCEnNVT64dPJKqCnjtsdcKgUeo\nBs5BNRC2ShCE7M01qGTNqU9yDZBj1kkZAgHWIQhCEnPfIaTumvsTX7PPpUPc0oNChh5naWtWAzWP\nw5EJgrALU4LA3BMfbyUEzhV8VANP5v5sgimsSRCETbn2S/fSzLx20+iWQmDqJmHVQGA9giAkUf3y\nrv81XLrCstZ0KblUEsest7UQuDdH//ywPkEQkptzBPGUQSVL3ZHk2v0M2dfaIXBPzB0ICIKwcWOr\nfVVjppEZuu81w2SKEJhbNVAQA64jCELW6uFg7H1n65YaVLJmf8Kh+1p7MMyUfW6ZQSKwB4IgJDH1\nS29KGFnytnTV48yxzz2EwCnWrgYKXcCJIAi7Uw8IS4WdtQPg0P2lDoG5DxDRNxB4SRCEzZrjyzh1\nn7e5w9hRQmDqIDa2ytxHhRJSEQQhO/Uv2Dm/dMfMI9h2PkOOMec+U4XAsdYKZ6mbhFOHUGBOgiAk\nMebLdI5JpLtez3XcJfY7Z1PwEseest8p+8/J3NVAICVBEHYj1X12lwhMS9wubskBM2OlaBLey32Y\ngTkJgrBZKb/Yl+w7t7UQuIUm4ZxttTIK+yAIQjYuX4hT7g4y1tRQkcvgiS2HwBTBRzUQaCYIQhJd\nX8xLBYW1mxWXGJmbQyVyyr6nHuOaY117zDnPoY1qIKQmCMIurT21zNRjC4HLHAtgGEEQNi/1fG53\nsfzdS44aAq+l4gZ0EwQhS9Xbw9Xfm9Nc9y1eaoLmsX0Bc7id3pxyaBKOyO/PHjAXQRCSGPrFulTw\nmCsALnnMKQNClrx38Fqf+9rjXYydOHyp8wByJgjC7qUeLJBTM/CU/U85xjXHuuZ4cxx7DTmfGxyL\nIAi7M/eX7JohKMe7eRw5BKoGwt4JgrBZS1RVru2TNqU5cq1wtoUQCLAuQRCykDo4zHU/YyEwTf/L\nuY5fpRoIRyAIQhKpg1/EfOFvrW3XDGZC4HJy+LMPXAiCsHtzf6mvHQAjtjGB815CYMT4aXiArRIE\nYTemzKM3xlYC4JaOd80xl5TjnyFgCYIgbFLbF/Xcdxm5di66LcxXmOp41xxzznOoyzGYAksRBCG5\n6hdvyia5pjAxNWAcIQBec8yLOX7fW6mybeU84VgEQUhijYreUHN8Qc9RPUwRyFLfwi23EKhJGI5G\nEITDuHwZz3Xrseo+68/HSBXGth4C55bb+QBrEARh1+Zs7p17HxFC4DW2UmXbynnCMQmCsHlrfdHm\nMiAh5eCMvYbAJauBc1aggbkJgpCF6hfl44b3Usol/EQIgRHbCoER+fw5BpoIgpBE15djyi/O3O5f\nfHHteaVuCr72HC62Fqq2dr5wPIIgHF6u4S8ibQCc4/gXBmIAeRIE4TAuU7xcni9h7gmtr7G3EJhz\nYG+iGghbIAjCbi01Yrgut6CTU/Utp3Opy/ncgLUIgrBZqSouc9/TOJfRyBH5hlEDRIBlCIKQhWqz\nbfW9nNy1PL9GTsErp3Opyu3PQZ+tnS8cmyAISazVbHuNLdxuLLfmzS2EwNyuGZCSIAjEy+bey/Ml\n5Ni8mXMoFQKB5QmCcFiXUHDEADg3IfAkt6o20EcQhF2rVvour5vWWUKuAfDSH/NIfQKFQKCZIAi7\nsmbQq5o7XFUtcf653C6ubivXD9gLQRA2o/6FPucULlNcQsuSk1TnWm3bSghcy5bPHY5NEIQk5ggS\nqUJg/Ut/znA1d7hdslI5l5zPbYitnz8cmyAIDLD0l/1d7XFOOQfVpZk4GugmCAIV1ebeNb7kcw5+\nTXJtqm6yRmDNvdoK9BEE4fDWntx6yVHK9buzzOXogbWNEAhbJwjCIVRDUsp7FC9hyc+2lal1qoRA\nYDhBEHan7Qs6xRf3Wn3UtjBi+UIIBPIhCEK26tOz1Jfl3D9ryxMYbzEARmxrEAuQC0EQkmoKB/WA\nl1OFr8ka9ymOWL55e+lzX9KaITCXP3fAHARBSKLry3RLX7RLTvtStWQTcIQQCByVIAgMlMsE1nNZ\nY17ALYX6Pnv6LMCFIAh02Fv4u1i6krnVORiBoxEEgUgfKtac3sbdNsbb42cCIgRBOJi1BnaMsXT/\nv6o9hMC1f29CIOyZIAi7VA8L1b5wqQNgitvY7aUvoBAIzEsQhE24BIDbhvfGbJ9K07yHa1bPUn/+\nOezhMwC5EQQhibYqVV/lamthYO3gF7FOBfBir5XACNVAOAZBEJJp+nLfWtBrkjJArD2v4RqEQGA5\ngiAwUQ63udtzn7k9/KcAyJ0gCAyUqp9fE1WyZRzhMwJVgiDQoR4MUgeFIwTAo1cCj/75YV2CIBDp\nA16XNQd/VKW4Jnu9kwuQK0EQDieHvn1dmia9XjMgHam5Gzg6QRB2Z8iEzTmHwOrjmo4aAHP6s5D6\nWsDxCIKQRPXeum2vI169/+6Y+/Hm9AXfJYcv/yOGwK38+QCWJAhCMkMGYuQ2WGMuqfr9NTliCMyN\nawGpCILACnKcPPvIAXAv/6EAriUIAgvJIfA0OXoIyu3z5/rnBI5BEARmlPOXeuoAlMO1SX0NgNwI\ngsAVcgg3XXIIPrlcoxyuRVUu1wWOTRAEBrh8aecywKNNdfR1DsEnl2uVw7UAciQIAjVdI3pzCTZV\n9Qmycwg9OV2nHK5HXU7XB45NEITDqge+6vOtfFHnFP4i8rpuuVwTIGeCIOze0ApfTiGmT24hZ0vX\nLjXXCnIiCMKmNIW6tqpefbuty/Ueybld29yuT1Vu1woQBCGJa74Q69tutao3RO53Vsnteud2fapy\nu1ZAhCAIZCfnMHORY6jZwnUDciMIAhnYQojJMfxFuHbANR6lPgHgqHIb8dvmLvINMrlfu4h8rx0Q\noSIIrCr3Pn9VOQeYnK8bsCWCILCQrYaVnAPglriOsAWCIHCl3G7rdo3cw8vWry+QG0EQmGBLTbxd\nuibbzsmWrm/u1xKoEgSBFrlO4DyXrdxOb6/XH8iBIAiHVW/SbQp9ewwhuQe/i61d+61cV6BKEITd\nuwSKx7Xn1WX153uzlSZggHUJgpCtpopd2/MhIe4ooe+i61Z8Odva72Yr1xVoIghCMteEt6OFuqG2\nHEr8HoH1CYKQhC/9eQmA69vyNQcuBEFgo/YQRLYaAoG9EASBDdjbYI8tB8C9/A6ACEEQyNpdy/Ot\n2nIABPZIEAQysbeqX93WQ+Befy9wbIIgkMAl9F2eR8PzPdh6+AP2ThAEVrTn0Fe1pwC4598TIAgC\nM9t7E2+bPYW/i6P9DuF4BEHgSk1hQYDYNr8/OApBEBigWuU7YrWvjSogsG2CINCgq8p39KCwx/B3\ncZ7RxgUAAA5YSURBVPTfLRyPIAiHUf2SV90bb88BMMKfAzgmQRCyV2+W7Vo29MtcdW+YvYe/CH8G\n4NgEQUiiqTo3ZH1NtusQAIFjEAQhOV/IeThC+AN4SBAEDuyI4c9/PICXBEHgQI4Y/KqEQOAhQRA4\niCOHQAEQaCYIAjv1QUQ8juMGQOEP6Pco9QkAXOeDhsf6ewA0UREENuqDhudHD36qgMA4KoLARjRV\n/HhJCATGUxEEMtPVt08AfJUACEwnCAKJCXzTCIDA9TQNAyvpGtTBOEIgMA8VQWAhXZU+AXA84Q+Y\nnyAIXKHan+/Ic/YtSQAEliMIAjX1cHd5r2v9vnWYRggElqWPIBxWU5+9pmUC3rruKj8Ay1IRhOw1\nVeiGbDNmPVW9tIQ+IA1BEJIYG7gEtf0SAoF0BEGA1Ql/QB4EQYBVCH9AfgRBgMUIf0DeBEGAWQl/\nwHYIggCzEACB7REEASYT/oBtEwQBRhH+gP0QBAE6CX7rMlcmrEkQBHiF8Lc+ARBSEAQBBL/EhEBI\n5VHqEwBYx13lsek5aQiBkJKKILBj9ZB317GMdQmAkANBENiJS7C7DSEvd0Ig5EIQBDbkLl4GvdvK\ne/V1yJMACLkRBIHMtQU9gQ/gWoIgkFg90Gna3RdVQMiZIAisZGi4EwL3QQCELRAEgZkYrEGEAAjb\nIggCNfWBGNVgNyTkCYHHJQTC1giCcChTmmfNvUcfARC2ShCEJLoqbbcDl0NKwh/sgVvMQTJ9VTdV\nOXIlBMJeqAgCMIDwB3ukIghADyEQ9kpFEIAGwh8cgSAIQIUACEciCAIcnvAHRyUIAhyO4AecGCwC\ncChCIPCSiiDArgl+QDsVQYDdEgKBbiqCALsh+AHjCIIAmyT0AdfTNAywOUIgMA8VQYCsCX3AcgRB\ngKwIfsB6BEGAJAQ+ID1BEGAVgh+QH0EQYDHCH5A3QRBgFkIfsD2CIMAoAh+wH4IgQCOBD9g/QRA4\noEvIe1x7DXAsgiCwcR/Ey0BXfW/otgDHJQgCG1MNbyp6ANcQBIFE6s2z1ffG7gOAKQRBYAFjApow\nB5CKIAiH1NW82tTcqgkWYI8EQUgip0BVP5emc8vpfAGYy6PUJwAAQBqCIADAQQmCAAAHJQgCAByU\nIAgAcFCCIADAQQmCAAAHJQgCAByUIAgAcFCCIADAQQmCAAAHJQgCAByUIAgAcFCCIADAQQmCAAAH\nJQgCAByUIAgAcFCCIADAQQmCAAAHJQgCAByUIAgAcFCCIADAQQmCAAAHJQgCAByUIAgAcFCCIADA\nQQmCAAAHJQgCAByUIAgAcFCCIADAQQmCAAAHJQgCAByUIAgAcFCCIADAQQmCAAAHJQgCAByUIAgA\ncFCCIADAQQmCAAAHVZRlmfocAABIQEUQAOCgBEEAgIMSBAEADkoQBAA4KEEQAOCgBEEAgIMSBAEA\nDkoQBAA4KEEQAOCgBEEAgIMSBAEADkoQBAA4KEEQAOCgBEEAgIMSBAEADkoQBAA4KEEQAOCgBEEA\ngIMSBAEADkoQBAA4KEEQAOCgBEEAgIMSBAEADkoQBAA4KEEQAOCgBEEAgIMSBAEADkoQBAA4KEEQ\nAOCgBEEAgIMSBAEADkoQBAA4KEEQAOCgBEEAgIMSBAEADkoQBAA4KEEQAOCgBEEAgIMSBAEADkoQ\nBAA4KEEQAOCgBEEAgIMSBAEADkoQBAA4KEEQAOCgBEEAgIMSBAEADkoQBAA4KEEQAOCgBEEAgIMS\nBAEADkoQBAA4KEEQAOCgBEEAgIMSBAEADuo29QlcqyiKIiJeT30eAMDhvFeWZZn6JK6x+SAYpxD4\ni9QnAQAczocj4r+lPolraBoGADioPVQEK/5lvGwlfnx+vKm9vq29rr5Xf3xce2xbr2v/fccfs6+m\nc+/Rdvjb2vKuj9a2j5ue5U37aDtOfR/19S+vu47zqGd5077a1unbdsj59F3j+mfuWvf23PJwe//g\nsXh0d3r5+P7lLs7L6o+3l9ePTo+P4vz6xeN5X1HZ14tlzx+sc/PKts37Ou3v+YNlj1qO17av6vm8\nes5t+3reuPym8bN1H7ftvLvPfej1atpX/XoNu05N5973O371fKv7ajn3+/Pj3Xlf9+X5dTx4jIgo\nLru7PN7VHtvef157PWTbocfqWjb0PIds07fvrvMZum3T9bn2mo/ZpnasDyrnc/7jER/cN7++bPpB\n7fGu9rpp3fo6bZevvu8h69Zf148dEfFeRPyb2I+dBcEn55+IcWGqb52+fY053pDzmSEIFiMfH7U8\ndi2rh6K2x+rzsWFpTBDsC6Rj9jU0EM6xjyH/J2kLgudv3aISBIvLshePdw9f14Lgy8e7B6+71hkT\nBPvWaQ84XcG0/njTs69HI/Z1Oe6jB9u+fCxe7KN9ncu+LusVD7Z9+fjSy3UebnsT5Xl51N5/+Phw\n3fLB65ePj3qWF5V9Fc3nfn9+vDsvHxIE+4LOkOA1ddspwat+cevvN23T9u9k/Xzq/+ZW32v7d7mI\nh+qvu5aVtce+96vHfVRbp/7+JTyej/lB5dh3tfdevL4sj4evu4Lg5b3bntf1fTT9Hamve1lW/1p7\nVFu/elmrfyz3QNMwAMBBCYIAAAclCAIAHJQgCABwUIIgAMBBCYIAAAclCAIAHJQgCABwUIIgAMBB\nCYIAAAclCAIAHNTOguDz/lUAAOax+Ry1+Q/wUNPdswEAFrH5HLX5DwAAwDSCIADAQQmCAAAHJQgC\nABzUbeoTmNez80/Ey4Ej9+fH5y2vq+9dHm973r+rvW567/L65vz4uLa8/rq6r751H0evcuTj85bH\niIiiZdl9PHT5b0VRe6xqeq96HkXtdf38mrap/6r7PtPlV1J9r/6rbnus/1qry+q/ytvaum3vX/bZ\nte7t+UPd3j94LB+dNi4fv/xllJdlbY+PTo/PzydevHi8e/D+w2XPH6xzP/hCvdz2sqx88XjX8v7D\nx+oftMu5vfp492Cb5+dj1pdXP9vN+Xnb4/Pa60cvXr/8bPet+3j+YN271vVe7uv2lW0fHve253yr\n296eHx+92NfzxuUv3y8fPDa99+Lx/vx4d3q8/JG8uXv4GBFRtP2xuOt5/3nt9ZBthx6ra9nQ8xyy\nTd++u85n6LZN12fov2X1x+q/sW3/dtYfa/8Gf1AZr3lXe+/F69phP6g93tVeN61bX6ft8tX3PWTd\n+uv6sSNepoy9KMpy2yNti6L4BxHxi9TnAQAczhtlWf596pO4hqZhAIBpNj+B8R4qgkVEvJ76PACA\nw3mv3HiQ2nwQBABgGk3DAAAHJQgCAByUIAgAcFCCIADAQe1sQmkAgGZFUbwREW82LPrJ1ucDnGr2\nIFgUxdsR8emyLL88YN3fi4hfi9Mv5Y2I+P2yLP+6Yb1PRcQ3IuJfNC1fSu7nBwBHNPT7ubbN1yLi\n91oWvx0Rfz5133MZcuyiKN6J0/1cPh4Rn4qId8uy/LOpx5w1CJ6T9jci4usD1v1aRPyfZVn+7fn1\n5yPi+0VR/OblQxdF8ZmI+J2I+FFEfDIiZpnr5rzf73Wl/5TnBwA0G/L93OITEfGliPi7ynsfj4i3\ny7K8hMCp++4757lyx9ci4qNlWf7u+fUnz+t8rizL7045t7n7CH4lIv59tN9RtupLEfGblxfnNPuj\niPha5b3vlmX5WxHxBzOf5+ci4q2Mzw8AaNb7/dziR2VZ/tuyLP/88nPezxdm2HefWXJHRHw0ToH2\nss4lnH526onNVhE8J9c/juGVsTIiPlZ778dRuQjV3V93dpPkfn4AcERjvp9fblTrsnbuyvYXZVn+\n12v3PZPeY18qgRfnrmkRpyLcJLMEwXOT8FtlWf7Z6Y5v/cqybOqs+Vac0u/Y478TLzt/vhURX7y2\n0+ec5wcAzGPG7+fP1oPV0H1nlDu+EhHfujRtTzFXRfDLQwaHdDmn2k9Ee0fOtu2+FRF/czn+uR3+\n+xHx6z2bjurPN/X8AIDlTPl+Pge5b07Zdw65oyiKr8ZpoMjH4opm4YgZgmClSfha34iIr41JteeL\n9PmotLuXZfndoijeKoriN8qy/A9dmy99fgDA4qZ8P3+5pQLXue9cckclhH4+In5cFMVnpg5muSoI\nVpuEq2/HyA97Ttd/VZblV0aewqfPj1+oNUl/u7Lvb0elY+XZmxHxdkMz9tfLsvw3M54fALCQKd/P\nRVEMqqC17Dur3HHukve1OIXGT3et2+baiuAXIuKfFUVRnS7mNyPiE+eQ+O6AeX3eiVOJ9Svn158o\ny/LHY06iLMs/rL31h5Vln2s45lcj4o97kvts5wcAzOuK7+fPxcMpZEbvO0XuOOeqH8dpzuJqAe7H\nEfGZvv22uWr6mLIsv1GW5W+VZfm7l584XdxvnV/3hcC3T7t5kHh/f8QpfOe8n0/W9vtGURT1NP7K\n4ft2PsP5AQAzu/L7+a2I+OnEfafMHW/GafqYel/DN6Pj8/RZ4l7DRdSGPxdF8amiKH5aFMU/qb4X\n57lxiqJ45/zzbjTf+uXy3serb5Zl+aOI+KN4dX6fr0bET674DLOcHwAwryHfz025o+KtaKkI9u07\nZe44H/tbEfHdyjZvxWnavi9OPe7c8wj+Tpzaxb9QFMWbcbo1yo/j9CGe1zb5TpySbfVilhHxf1T2\n+Yk4JeFPn5e9WxTFd6LS5FyW5e8WRfHFoii+Gadf7M8i4qu1eYGmmOX8AIBZ9X4/R3PuuPhJRPxg\n6r5T5o44TTr9lXMz8c/iNHL4s2VZ/uXUgxZleby7op3b6v9EWAMAlpZz7liiaXgLfhKnJA0AsLRs\nc8chK4IAABy3IggAcHiCIADAQQmCAAAHJQgCAByUIAgAcFCCIADAQQmCAAAHJQgCAByUIAgAcFCC\nIADAQQmCAAAHJQgCAByUIAgAcFCCIADAQQmCAAAH9f8DY34dJjl5084AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5cd4100410>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import healpy\n",
    "healpy.cartview(m, lonra=(-30,30))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import DM\n",
    "\n",
    "m = DM.GenNFW(axesratio=1, gamma=.5,res=.0625, cartesian=True, size=30,decay=False)\n",
    "m2 = DM.GenNFW(axesratio=1, gamma=1.,res=.0625, cartesian=True, size=30,decay=False)\n",
    "m3 = DM.GenNFW(axesratio=1, gamma=1.25,res=.0625, cartesian=True, size=30,decay=False)\n",
    "\n",
    "#pickle.dump((psi, m[720:,720]),open('DM_radial_profile_alph_.5.pickle', 'wb'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(960, 960)\n"
     ]
    },
    {
     "data": {
      "image/png": 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qeE6vl2G33srMBQvoc8klYJrsfuEFFs+ezbanniIaDFpdYpfLGXcvvpwJREO1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\nIkr6/3BGli7dy1fRAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f86ba2a6950>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "print m.shape\n",
    "psi = np.linspace(0,30,30*16)\n",
    "plt.plot(psi, psi*m[480:,480]/m[480+160,480])\n",
    "plt.plot(psi, psi*m2[480:,480]/m2[480+160,480])\n",
    "plt.plot(psi, psi*m3[480:,480]/m3[480+160,480])\n",
    "#plt.yscale('log')\n",
    "plt.xlim(0,30)\n",
    "plt.ylim(0,25)\n",
    "import pickle"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import healpy \n",
    "\n",
    "hdu_k = pyfits.open('./testing_temp/pi0_decay_healpix_54_mod_k_4.gz')\n",
    "hdu_l = pyfits.open('./testing_temp/pi0_decay_healpix_54_mod_l_4.gz')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Filename: ./testing_temp/pi0_decay_healpix_54_mod_l_4.gz\n",
      "No.    Name         Type      Cards   Dimensions   Format\n",
      "0    PRIMARY     PrimaryHDU       6   ()              \n",
      "1    SKYMAP      BinTableHDU    131   786432R x 38C   [1D, 1D, 1D, 1D, 1D, 1D, 1D, 1D, 1D, 1D, 1D, 1D, 1D, 1D, 1D, 1D, 1D, 1D, 1D, 1D, 1D, 1D, 1D, 1D, 1D, 1D, 1D, 1D, 1D, 1D, 1D, 1D, 1D, 1D, 1D, 1D, 1D, 1D]   \n",
      "2    ENERGIES    BinTableHDU     12   38R x 1C     [1D]   \n"
     ]
    }
   ],
   "source": [
    "hdu.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar instance at 0x7fcbe98827a0>"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fcbe8acd450>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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BG8I9Yk7EFhvtaFPTWcdlgUCvd7RCeP5y8/sbGnZzT9lBHHHd2QiVs5Z0OQkTOBFzInbU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UIrq8+fX2brIVTKtGXQZ84Usnx3twjop4K/WBTPMMaZ4Sj37hXWs/PnCwJFmU13ppaPg00D8VOE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\n8fk/XTgj4bwAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fcbe93ff950>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "m = healpy.cartview(hdu_l[1].data.field(10)/hdu_k[1].data.field(10), return_projected_map=True, hold=True)\n",
    "plt.clf()\n",
    "plt.figure()\n",
    "plt.imshow(m, origin='lower', cmap='bwr', vmin=.5, vmax=1.5)\n",
    "plt.colorbar()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[False,\n",
       " False,\n",
       " False,\n",
       " False,\n",
       " False,\n",
       " False,\n",
       " False,\n",
       " False,\n",
       " False,\n",
       " False,\n",
       " False,\n",
       " False,\n",
       " False,\n",
       " False,\n",
       " False,\n",
       " False,\n",
       " False,\n",
       " False,\n",
       " False,\n",
       " False,\n",
       " False,\n",
       " False,\n",
       " False,\n",
       " False,\n",
       " False,\n",
       " False,\n",
       " False,\n",
       " False,\n",
       " False,\n",
       " False,\n",
       " False,\n",
       " False,\n",
       " False,\n",
       " False,\n",
       " False,\n",
       " False,\n",
       " False,\n",
       " False]"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "[np.isnan((hdu[1].data.field(i)) < 0).any() for i in range(38)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1 False"
     ]
    },
    {
     "ename": "TypeError",
     "evalue": "clip() takes at least 3 arguments (1 given)",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mTypeError\u001b[0m                                 Traceback (most recent call last)",
      "\u001b[1;32m<ipython-input-60-a349b0516dd4>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m()\u001b[0m\n\u001b[0;32m      2\u001b[0m \u001b[1;32mfor\u001b[0m \u001b[0mi\u001b[0m \u001b[1;32min\u001b[0m \u001b[0mrange\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;36m1\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;36m10\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m      3\u001b[0m     \u001b[0mhdu_k\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mpyfits\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mopen\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m'./testing_temp/pi0_decay_HIR_ring_%i_healpix_54_mod_l_4.gz'\u001b[0m\u001b[1;33m%\u001b[0m\u001b[0mi\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m----> 4\u001b[1;33m     \u001b[1;32mprint\u001b[0m \u001b[0mi\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mnp\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0many\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mnp\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0misnan\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mhdu_k\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;36m1\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mdata\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mfield\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mj\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0many\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m \u001b[1;32mfor\u001b[0m \u001b[0mj\u001b[0m \u001b[1;32min\u001b[0m \u001b[0mrange\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;36m38\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mnp\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0many\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mnp\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mclip\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mhdu_k\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;36m1\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mdata\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mfield\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mj\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m \u001b[1;33m<\u001b[0m \u001b[1;36m0\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0many\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m \u001b[1;32mfor\u001b[0m \u001b[0mj\u001b[0m \u001b[1;32min\u001b[0m \u001b[0mrange\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;36m38\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m      5\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;31mTypeError\u001b[0m: clip() takes at least 3 arguments (1 given)"
     ]
    }
   ],
   "source": [
    "\n",
    "for i in range(1,10):\n",
    "    hdu_k = pyfits.open('./testing_temp/pi0_decay_HIR_ring_%i_healpix_54_mod_l_4.gz'%i)\n",
    "    print i, np.any([np.isnan((hdu_k[1].data.field(j))).any() for j in range(38)]), np.any([(hdu_k[1].data.field(j) < 0).any() for j in range(38)])\n",
    "    \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([2, 0])"
      ]
     },
     "execution_count": 62,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "np.array((2,-2)).clip(0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Filename: /data/GCE_sys/photons_merged_cut_P8R2_PSF3_CLEAN_V6_calore.fits\n",
      "No.    Name         Type      Cards   Dimensions   Format\n",
      "0    PRIMARY     PrimaryHDU      31   ()              \n",
      "1    EVENTS      BinTableHDU    221   15624070R x 23C   [E, E, E, E, E, E, E, E, E, D, J, J, I, 3I, 32X, 32X, I, D, E, E, E, E, E]   \n",
      "2    GTI         BinTableHDU     46   45329R x 2C   [D, D]   \n",
      "239557447.812 456959280.684\n"
     ]
    }
   ],
   "source": [
    "hdu = pyfits.open('/data/GCE_sys/photons_merged_cut_P8R2_PSF3_CLEAN_V6_calore.fits')\n",
    "hdu.info()\n",
    "\n",
    "#hdu[1].header.cards\n",
    "\n",
    "print hdu[1].data['TIME'].min(), hdu[1].data['TIME'].max()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "6.901645488000001"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(456959280.684-239557447.812)/3.15e7"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import DM\n",
    "reload(DM)\n",
    "import Analysis\n",
    "A = Analysis.Analysis()\n",
    "m = DM.GenNFW(axesratio=1., gamma=1.05,res=.125, cartesian=False, size=90,offset=(0,0))\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "solid_angle_IG (sr): 0.428012597753\n",
      "NFW_alpha=1.05 total_flux_GC/total_flux_IG: 0.760565264601\n",
      "solid_angle_GC (sr): 0.0685817243917\n"
     ]
    },
    {
     "data": {
      "image/png": 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AoAAhEAAAAEABQiAAAACAAoRAAAAAAAUIgQAAAAAKEAIBAAAAFCAEAgAAAChACAQAAABQ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\nQAgEAAAAUIAQCAAAAKAAIRA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5Wkr5lx1TOO9tO58kuVVr/cXpAJvLwIAFcicQsHTtMrDB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\nAAAAABZAEAgAAABgAQSBAAAAABbgb2vsyDTSg2CAAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7faef4c87310>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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ACAQAAABQgAgEAAAAUIAIBAAAAFCACAQAAABQgAgEAAAAUIAIBAAAAFCACAQA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\nkgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7faef4bd3490>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import healpy\n",
    "\n",
    "\n",
    "#import Tools\n",
    "#idx = Tools.ang2hpix(0,5)\n",
    "\n",
    "A.GenSquareMask(l_range=[-20,20], b_range=[-20,20], plane_mask=2)\n",
    "flux_IG = np.sum(m*A.mask)\n",
    "healpy.cartview(m*A.mask, return_projected_map=True)\n",
    "\n",
    "print 'solid_angle_IG (sr):', np.count_nonzero(m*A.mask)*4*pi/(12*256**2)\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "b_mask = A.GenSquareMask(l_range=[-7.5, 7.5], b_range=[-7.5, 7.5], plane_mask=0)\n",
    "flux_GC = np.sum(m*A.mask)\n",
    "healpy.cartview(m*A.mask, return_projected_map=True)\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "print 'NFW_alpha=1.05 total_flux_GC/total_flux_IG:', flux_GC/flux_IG\n",
    "\n",
    "print 'solid_angle_GC (sr):', np.count_nonzero(m*A.mask)*4*pi/(12*256**2)\n",
    "\n",
    "\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}