plots for comparison.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "# Make some plots for comparison against Byeonghee's results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 128,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import crosspower as cp\n",
    "import FisherCl as fcl\n",
    "from numpy.linalg import eigh\n",
    "\n",
    "# set plotting to be in the notebook instead of its own qt window\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 179,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<module 'FisherCl' from 'FisherCl.py'>"
      ]
     },
     "execution_count": 179,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# reload any changes that have been made to crosspower.py\n",
    "reload(cp)\n",
    "reload(fcl.cp)\n",
    "reload(fcl)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "# start by using the plotSigmasByNBins function with various settings"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 180,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      " starting Fisher Matrix  1  of  4 , with nBins= 2\n",
      "creating matter power spectrum object...\n",
      "zs.size:  998\n",
      "fiducial bs:  [ 2.17175357  3.52752398]\n",
      "fiducial As:  [ 1.00195471  1.00125928]\n",
      "starting cross power with entire kappa... \n",
      "starting angular cross power spectrum  0 ,  0 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : kappa  0\n",
      "starting angular cross power spectrum  0 ,  1 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  1\n",
      "starting angular cross power spectrum  0 ,  2 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  2\n",
      "starting angular cross power spectrum  1 ,  1 ... \n",
      "window  1 : galaxies  1\n",
      "window  2 : galaxies  1\n",
      "starting angular cross power spectrum  1 ,  2 ... \n",
      "starting angular cross power spectrum  2 ,  2 ... \n",
      "window  1 : galaxies  2\n",
      "window  2 : galaxies  2\n",
      "starting cross power with binned kappa... \n",
      "starting angular cross power spectrum  0 ,  0 ... \n",
      "window  1 : kappa  1\n",
      "window  2 : kappa  1\n",
      "window  1 : kappa  1\n",
      "window  2 : galaxies  1\n",
      "window  1 : galaxies  1\n",
      "window  2 : galaxies  1\n",
      "starting angular cross power spectrum  1 ,  1 ... \n",
      "window  1 : kappa  2\n",
      "window  2 : kappa  2\n",
      "window  1 : kappa  2\n",
      "window  2 : galaxies  2\n",
      "window  1 : galaxies  2\n",
      "window  2 : galaxies  2\n",
      "building covariance matrix... \n",
      "starting covariance set  1  of  3 ... \n",
      "starting covariance set  2  of  3 ... \n",
      "starting covariance set  3  of  3 ... \n",
      "inverting covariance matrix... \n",
      "starting creation of C_l derivatives... \n",
      "starting derivative set  1  of  3 ... \n",
      "starting derivative set  2  of  3 ... \n",
      "starting derivative set  3  of  3 ... \n",
      "building Fisher matrix from components...\n",
      "invCov.shape:  (6, 6, 1999) , dClVecs.shape:  (6, 4, 1999)\n",
      "starting bin set  1  of  4\n",
      "starting bin set  2  of  4\n",
      "starting bin set  3  of  4\n",
      "starting bin set  4  of  4\n",
      "creation of Fisher Matrix complete!\n",
      "\n",
      "inverting Fij  1  of  4\n",
      "eigenvalues:  [  1.01305153e-07   1.15599260e-07   1.45975543e-06   5.79181684e-06]\n",
      "sigmas:  [ 0.00061125  0.00074544  0.00108973  0.00231337]\n",
      "\n",
      " starting Fisher Matrix  2  of  4 , with nBins= 4\n",
      "creating matter power spectrum object...\n",
      "zs.size:  998\n",
      "fiducial bs:  [ 1.61216739  2.31005893  3.11294799  3.93722679]\n",
      "fiducial As:  [ 1.00203425  1.00130328  1.00116391  1.00110904]\n",
      "starting cross power with entire kappa... \n",
      "starting angular cross power spectrum  0 ,  0 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : kappa  0\n",
      "starting angular cross power spectrum  0 ,  1 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  1\n",
      "starting angular cross power spectrum  0 ,  2 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  2\n",
      "starting angular cross power spectrum  0 ,  3 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  3\n",
      "starting angular cross power spectrum  0 ,  4 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  4\n",
      "starting angular cross power spectrum  1 ,  1 ... \n",
      "window  1 : galaxies  1\n",
      "window  2 : galaxies  1\n",
      "starting angular cross power spectrum  1 ,  2 ... \n",
      "starting angular cross power spectrum  1 ,  3 ... \n",
      "starting angular cross power spectrum  1 ,  4 ... \n",
      "starting angular cross power spectrum  2 ,  2 ... \n",
      "window  1 : galaxies  2\n",
      "window  2 : galaxies  2\n",
      "starting angular cross power spectrum  2 ,  3 ... \n",
      "starting angular cross power spectrum  2 ,  4 ... \n",
      "starting angular cross power spectrum  3 ,  3 ... \n",
      "window  1 : galaxies  3\n",
      "window  2 : galaxies  3\n",
      "starting angular cross power spectrum  3 ,  4 ... \n",
      "starting angular cross power spectrum  4 ,  4 ... \n",
      "window  1 : galaxies  4\n",
      "window  2 : galaxies  4\n",
      "starting cross power with binned kappa... \n",
      "starting angular cross power spectrum  0 ,  0 ... \n",
      "window  1 : kappa  1\n",
      "window  2 : kappa  1\n",
      "window  1 : kappa  1\n",
      "window  2 : galaxies  1\n",
      "window  1 : galaxies  1\n",
      "window  2 : galaxies  1\n",
      "starting angular cross power spectrum  1 ,  1 ... \n",
      "window  1 : kappa  2\n",
      "window  2 : kappa  2\n",
      "window  1 : kappa  2\n",
      "window  2 : galaxies  2\n",
      "window  1 : galaxies  2\n",
      "window  2 : galaxies  2\n",
      "starting angular cross power spectrum  2 ,  2 ... \n",
      "window  1 : kappa  3\n",
      "window  2 : kappa  3\n",
      "window  1 : kappa  3\n",
      "window  2 : galaxies  3\n",
      "window  1 : galaxies  3\n",
      "window  2 : galaxies  3\n",
      "starting angular cross power spectrum  3 ,  3 ... \n",
      "window  1 : kappa  4\n",
      "window  2 : kappa  4\n",
      "window  1 : kappa  4\n",
      "window  2 : galaxies  4\n",
      "window  1 : galaxies  4\n",
      "window  2 : galaxies  4\n",
      "building covariance matrix... \n",
      "starting covariance set  1  of  5 ... \n",
      "starting covariance set  2  of  5 ... \n",
      "starting covariance set  3  of  5 ... \n",
      "starting covariance set  4  of  5 ... \n",
      "starting covariance set  5  of  5 ... \n",
      "inverting covariance matrix... \n",
      "starting creation of C_l derivatives... \n",
      "starting derivative set  1  of  5 ... \n",
      "starting derivative set  2  of  5 ... \n",
      "starting derivative set  3  of  5 ... \n",
      "starting derivative set  4  of  5 ... \n",
      "starting derivative set  5  of  5 ... \n",
      "building Fisher matrix from components...\n",
      "invCov.shape:  (15, 15, 1999) , dClVecs.shape:  (15, 8, 1999)\n",
      "starting bin set  1  of  8\n",
      "starting bin set  2  of  8\n",
      "starting bin set  3  of  8\n",
      "starting bin set  4  of  8\n",
      "starting bin set  5  of  8\n",
      "starting bin set  6  of  8\n",
      "starting bin set  7  of  8\n",
      "starting bin set  8  of  8\n",
      "creation of Fisher Matrix complete!\n",
      "\n",
      "inverting Fij  2  of  4\n",
      "eigenvalues:  [  8.84334902e-08   1.04619856e-07   1.13236484e-07   1.17494038e-07\n",
      "   1.64501919e-06   2.81370482e-06   6.95691208e-06   1.55913191e-05]\n",
      "sigmas:  [ 0.00075701  0.00075283  0.00088098  0.00103512  0.00107722  0.00153348\n",
      "  0.00250879  0.00382588]\n",
      "\n",
      " starting Fisher Matrix  3  of  4 , with nBins= 8\n",
      "creating matter power spectrum object...\n",
      "zs.size:  998\n",
      "fiducial bs:  [ 1.31336283  1.66697151  2.06888487  2.48113088  2.89695688  3.31442616\n",
      "  3.73278304  4.15167301]\n",
      "fiducial As:  [ 1.00205919  1.00134036  1.00119006  1.00112739  1.00109404  1.00107371\n",
      "  1.00106017  1.00105058]\n",
      "starting cross power with entire kappa... \n",
      "starting angular cross power spectrum  0 ,  0 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : kappa  0\n",
      "starting angular cross power spectrum  0 ,  1 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  1\n",
      "starting angular cross power spectrum  0 ,  2 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  2\n",
      "starting angular cross power spectrum  0 ,  3 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  3\n",
      "starting angular cross power spectrum  0 ,  4 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  4\n",
      "starting angular cross power spectrum  0 ,  5 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  5\n",
      "starting angular cross power spectrum  0 ,  6 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  6\n",
      "starting angular cross power spectrum  0 ,  7 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  7\n",
      "starting angular cross power spectrum  0 ,  8 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  8\n",
      "starting angular cross power spectrum  1 ,  1 ... \n",
      "window  1 : galaxies  1\n",
      "window  2 : galaxies  1\n",
      "starting angular cross power spectrum  1 ,  2 ... \n",
      "starting angular cross power spectrum  1 ,  3 ... \n",
      "starting angular cross power spectrum  1 ,  4 ... \n",
      "starting angular cross power spectrum  1 ,  5 ... \n",
      "starting angular cross power spectrum  1 ,  6 ... \n",
      "starting angular cross power spectrum  1 ,  7 ... \n",
      "starting angular cross power spectrum  1 ,  8 ... \n",
      "starting angular cross power spectrum  2 ,  2 ... \n",
      "window  1 : galaxies  2\n",
      "window  2 : galaxies  2\n",
      "starting angular cross power spectrum  2 ,  3 ... \n",
      "starting angular cross power spectrum  2 ,  4 ... \n",
      "starting angular cross power spectrum  2 ,  5 ... \n",
      "starting angular cross power spectrum  2 ,  6 ... \n",
      "starting angular cross power spectrum  2 ,  7 ... \n",
      "starting angular cross power spectrum  2 ,  8 ... \n",
      "starting angular cross power spectrum  3 ,  3 ... \n",
      "window  1 : galaxies  3\n",
      "window  2 : galaxies  3\n",
      "starting angular cross power spectrum  3 ,  4 ... \n",
      "starting angular cross power spectrum  3 ,  5 ... \n",
      "starting angular cross power spectrum  3 ,  6 ... \n",
      "starting angular cross power spectrum  3 ,  7 ... \n",
      "starting angular cross power spectrum  3 ,  8 ... \n",
      "starting angular cross power spectrum  4 ,  4 ... \n",
      "window  1 : galaxies  4\n",
      "window  2 : galaxies  4\n",
      "starting angular cross power spectrum  4 ,  5 ... \n",
      "starting angular cross power spectrum  4 ,  6 ... \n",
      "starting angular cross power spectrum  4 ,  7 ... \n",
      "starting angular cross power spectrum  4 ,  8 ... \n",
      "starting angular cross power spectrum  5 ,  5 ... \n",
      "window  1 : galaxies  5\n",
      "window  2 : galaxies  5\n",
      "starting angular cross power spectrum  5 ,  6 ... \n",
      "starting angular cross power spectrum  5 ,  7 ... \n",
      "starting angular cross power spectrum  5 ,  8 ... \n",
      "starting angular cross power spectrum  6 ,  6 ... \n",
      "window  1 : galaxies  6\n",
      "window  2 : galaxies  6\n",
      "starting angular cross power spectrum  6 ,  7 ... \n",
      "starting angular cross power spectrum  6 ,  8 ... \n",
      "starting angular cross power spectrum  7 ,  7 ... \n",
      "window  1 : galaxies  7\n",
      "window  2 : galaxies  7\n",
      "starting angular cross power spectrum  7 ,  8 ... \n",
      "starting angular cross power spectrum  8 ,  8 ... \n",
      "window  1 : galaxies  8\n",
      "window  2 : galaxies  8\n",
      "starting cross power with binned kappa... \n",
      "starting angular cross power spectrum  0 ,  0 ... \n",
      "window  1 : kappa  1\n",
      "window  2 : kappa  1\n",
      "window  1 : kappa  1\n",
      "window  2 : galaxies  1\n",
      "window  1 : galaxies  1\n",
      "window  2 : galaxies  1\n",
      "starting angular cross power spectrum  1 ,  1 ... \n",
      "window  1 : kappa  2\n",
      "window  2 : kappa  2\n",
      "window  1 : kappa  2\n",
      "window  2 : galaxies  2\n",
      "window  1 : galaxies  2\n",
      "window  2 : galaxies  2\n",
      "starting angular cross power spectrum  2 ,  2 ... \n",
      "window  1 : kappa  3\n",
      "window  2 : kappa  3\n",
      "window  1 : kappa  3\n",
      "window  2 : galaxies  3\n",
      "window  1 : galaxies  3\n",
      "window  2 : galaxies  3\n",
      "starting angular cross power spectrum  3 ,  3 ... \n",
      "window  1 : kappa  4\n",
      "window  2 : kappa  4\n",
      "window  1 : kappa  4\n",
      "window  2 : galaxies  4\n",
      "window  1 : galaxies  4\n",
      "window  2 : galaxies  4\n",
      "starting angular cross power spectrum  4 ,  4 ... \n",
      "window  1 : kappa  5\n",
      "window  2 : kappa  5\n",
      "window  1 : kappa  5\n",
      "window  2 : galaxies  5\n",
      "window  1 : galaxies  5\n",
      "window  2 : galaxies  5\n",
      "starting angular cross power spectrum  5 ,  5 ... \n",
      "window  1 : kappa  6\n",
      "window  2 : kappa  6\n",
      "window  1 : kappa  6\n",
      "window  2 : galaxies  6\n",
      "window  1 : galaxies  6\n",
      "window  2 : galaxies  6\n",
      "starting angular cross power spectrum  6 ,  6 ... \n",
      "window  1 : kappa  7\n",
      "window  2 : kappa  7\n",
      "window  1 : kappa  7\n",
      "window  2 : galaxies  7\n",
      "window  1 : galaxies  7\n",
      "window  2 : galaxies  7\n",
      "starting angular cross power spectrum  7 ,  7 ... \n",
      "window  1 : kappa  8\n",
      "window  2 : kappa  8\n",
      "window  1 : kappa  8\n",
      "window  2 : galaxies  8\n",
      "window  1 : galaxies  8\n",
      "window  2 : galaxies  8\n",
      "building covariance matrix... \n",
      "starting covariance set  1  of  9 ... \n",
      "starting covariance set  2  of  9 ... \n",
      "starting covariance set  3  of  9 ... \n",
      "starting covariance set  4  of  9 ... \n",
      "starting covariance set  5  of  9 ... \n",
      "starting covariance set  6  of  9 ... \n",
      "starting covariance set  7  of  9 ... \n",
      "starting covariance set  8  of  9 ... \n",
      "starting covariance set  9  of  9 ... \n",
      "inverting covariance matrix... \n",
      "starting creation of C_l derivatives... \n",
      "starting derivative set  1  of  9 ... \n",
      "starting derivative set  2  of  9 ... \n",
      "starting derivative set  3  of  9 ... \n",
      "starting derivative set  4  of  9 ... \n",
      "starting derivative set  5  of  9 ... \n",
      "starting derivative set  6  of  9 ... \n",
      "starting derivative set  7  of  9 ... \n",
      "starting derivative set  8  of  9 ... \n",
      "starting derivative set  9  of  9 ... \n",
      "building Fisher matrix from components...\n",
      "invCov.shape:  (45, 45, 1999) , dClVecs.shape:  (45, 16, 1999)\n",
      "starting bin set  1  of  16\n",
      "starting bin set  2  of  16\n",
      "starting bin set  3  of  16\n",
      "starting bin set  4  of  16\n",
      "starting bin set  5  of  16\n",
      "starting bin set  6  of  16\n",
      "starting bin set  7  of  16\n",
      "starting bin set  8  of  16\n",
      "starting bin set  9  of  16\n",
      "starting bin set  10  of  16\n",
      "starting bin set  11  of  16\n",
      "starting bin set  12  of  16\n",
      "starting bin set  13  of  16\n",
      "starting bin set  14  of  16\n",
      "starting bin set  15  of  16\n",
      "starting bin set  16  of  16\n",
      "creation of Fisher Matrix complete!\n",
      "\n",
      "inverting Fij  3  of  4\n",
      "eigenvalues:  [  7.81167522e-08   9.07966737e-08   1.00817071e-07   1.07351100e-07\n",
      "   1.11656011e-07   1.14610644e-07   1.16703892e-07   1.18240407e-07\n",
      "   2.59949117e-06   3.25903570e-06   4.07884242e-06   6.78106339e-06\n",
      "   1.06092478e-05   1.69991249e-05   2.46617460e-05   3.75689197e-05]\n",
      "sigmas:  [ 0.00114315  0.00089735  0.00094575  0.00103541  0.00112047  0.00124313\n",
      "  0.00133389  0.00147951  0.0014249   0.00137297  0.00181252  0.00241171\n",
      "  0.0030766   0.00394568  0.00479575  0.00595804]\n",
      "\n",
      " starting Fisher Matrix  4  of  4 , with nBins= 16\n",
      "creating matter power spectrum object...\n",
      "zs.size:  998\n",
      "fiducial bs:  [ 1.15957405  1.33705723  1.5380536   1.74417406  1.9520848   2.16082082\n",
      "  2.37000379  2.57945566  2.78908177  2.99882719  3.20865786  3.41855155\n",
      "  3.62849315  3.83847201  4.04848042  4.25851266]\n",
      "fiducial As:  [ 1.00204904  1.0013554   1.00120852  1.00114403  1.0011081   1.00108546\n",
      "  1.00107005  1.00105898  1.00105069  1.00104429  1.00103921  1.0010351\n",
      "  1.00103171  1.00102888  1.00102647  1.00102441]\n",
      "starting cross power with entire kappa... \n",
      "starting angular cross power spectrum  0 ,  0 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : kappa  0\n",
      "starting angular cross power spectrum  0 ,  1 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  1\n",
      "starting angular cross power spectrum  0 ,  2 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  2\n",
      "starting angular cross power spectrum  0 ,  3 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  3\n",
      "starting angular cross power spectrum  0 ,  4 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  4\n",
      "starting angular cross power spectrum  0 ,  5 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  5\n",
      "starting angular cross power spectrum  0 ,  6 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  6\n",
      "starting angular cross power spectrum  0 ,  7 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  7\n",
      "starting angular cross power spectrum  0 ,  8 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  8\n",
      "starting angular cross power spectrum  0 ,  9 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  9\n",
      "starting angular cross power spectrum  0 ,  10 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  10\n",
      "starting angular cross power spectrum  0 ,  11 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  11\n",
      "starting angular cross power spectrum  0 ,  12 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  12\n",
      "starting angular cross power spectrum  0 ,  13 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  13\n",
      "starting angular cross power spectrum  0 ,  14 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  14\n",
      "starting angular cross power spectrum  0 ,  15 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  15\n",
      "starting angular cross power spectrum  0 ,  16 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  16\n",
      "starting angular cross power spectrum  1 ,  1 ... \n",
      "window  1 : galaxies  1\n",
      "window  2 : galaxies  1\n",
      "starting angular cross power spectrum  1 ,  2 ... \n",
      "starting angular cross power spectrum  1 ,  3 ... \n",
      "starting angular cross power spectrum  1 ,  4 ... \n",
      "starting angular cross power spectrum  1 ,  5 ... \n",
      "starting angular cross power spectrum  1 ,  6 ... \n",
      "starting angular cross power spectrum  1 ,  7 ... \n",
      "starting angular cross power spectrum  1 ,  8 ... \n",
      "starting angular cross power spectrum  1 ,  9 ... \n",
      "starting angular cross power spectrum  1 ,  10 ... \n",
      "starting angular cross power spectrum  1 ,  11 ... \n",
      "starting angular cross power spectrum  1 ,  12 ... \n",
      "starting angular cross power spectrum  1 ,  13 ... \n",
      "starting angular cross power spectrum  1 ,  14 ... \n",
      "starting angular cross power spectrum  1 ,  15 ... \n",
      "starting angular cross power spectrum  1 ,  16 ... \n",
      "starting angular cross power spectrum  2 ,  2 ... \n",
      "window  1 : galaxies  2\n",
      "window  2 : galaxies  2\n",
      "starting angular cross power spectrum  2 ,  3 ... \n",
      "starting angular cross power spectrum  2 ,  4 ... \n",
      "starting angular cross power spectrum  2 ,  5 ... \n",
      "starting angular cross power spectrum  2 ,  6 ... \n",
      "starting angular cross power spectrum  2 ,  7 ... \n",
      "starting angular cross power spectrum  2 ,  8 ... \n",
      "starting angular cross power spectrum  2 ,  9 ... \n",
      "starting angular cross power spectrum  2 ,  10 ... \n",
      "starting angular cross power spectrum  2 ,  11 ... \n",
      "starting angular cross power spectrum  2 ,  12 ... \n",
      "starting angular cross power spectrum  2 ,  13 ... \n",
      "starting angular cross power spectrum  2 ,  14 ... \n",
      "starting angular cross power spectrum  2 ,  15 ... \n",
      "starting angular cross power spectrum  2 ,  16 ... \n",
      "starting angular cross power spectrum  3 ,  3 ... \n",
      "window  1 : galaxies  3\n",
      "window  2 : galaxies  3\n",
      "starting angular cross power spectrum  3 ,  4 ... \n",
      "starting angular cross power spectrum  3 ,  5 ... \n",
      "starting angular cross power spectrum  3 ,  6 ... \n",
      "starting angular cross power spectrum  3 ,  7 ... \n",
      "starting angular cross power spectrum  3 ,  8 ... \n",
      "starting angular cross power spectrum  3 ,  9 ... \n",
      "starting angular cross power spectrum  3 ,  10 ... \n",
      "starting angular cross power spectrum  3 ,  11 ... \n",
      "starting angular cross power spectrum  3 ,  12 ... \n",
      "starting angular cross power spectrum  3 ,  13 ... \n",
      "starting angular cross power spectrum  3 ,  14 ... \n",
      "starting angular cross power spectrum  3 ,  15 ... \n",
      "starting angular cross power spectrum  3 ,  16 ... \n",
      "starting angular cross power spectrum  4 ,  4 ... \n",
      "window  1 : galaxies  4\n",
      "window  2 : galaxies  4\n",
      "starting angular cross power spectrum  4 ,  5 ... \n",
      "starting angular cross power spectrum  4 ,  6 ... \n",
      "starting angular cross power spectrum  4 ,  7 ... \n",
      "starting angular cross power spectrum  4 ,  8 ... \n",
      "starting angular cross power spectrum  4 ,  9 ... \n",
      "starting angular cross power spectrum  4 ,  10 ... \n",
      "starting angular cross power spectrum  4 ,  11 ... \n",
      "starting angular cross power spectrum  4 ,  12 ... \n",
      "starting angular cross power spectrum  4 ,  13 ... \n",
      "starting angular cross power spectrum  4 ,  14 ... \n",
      "starting angular cross power spectrum  4 ,  15 ... \n",
      "starting angular cross power spectrum  4 ,  16 ... \n",
      "starting angular cross power spectrum  5 ,  5 ... \n",
      "window  1 : galaxies  5\n",
      "window  2 : galaxies  5\n",
      "starting angular cross power spectrum  5 ,  6 ... \n",
      "starting angular cross power spectrum  5 ,  7 ... \n",
      "starting angular cross power spectrum  5 ,  8 ... \n",
      "starting angular cross power spectrum  5 ,  9 ... \n",
      "starting angular cross power spectrum  5 ,  10 ... \n",
      "starting angular cross power spectrum  5 ,  11 ... \n",
      "starting angular cross power spectrum  5 ,  12 ... \n",
      "starting angular cross power spectrum  5 ,  13 ... \n",
      "starting angular cross power spectrum  5 ,  14 ... \n",
      "starting angular cross power spectrum  5 ,  15 ... \n",
      "starting angular cross power spectrum  5 ,  16 ... \n",
      "starting angular cross power spectrum  6 ,  6 ... \n",
      "window  1 : galaxies  6\n",
      "window  2 : galaxies  6\n",
      "starting angular cross power spectrum  6 ,  7 ... \n",
      "starting angular cross power spectrum  6 ,  8 ... \n",
      "starting angular cross power spectrum  6 ,  9 ... \n",
      "starting angular cross power spectrum  6 ,  10 ... \n",
      "starting angular cross power spectrum  6 ,  11 ... \n",
      "starting angular cross power spectrum  6 ,  12 ... \n",
      "starting angular cross power spectrum  6 ,  13 ... \n",
      "starting angular cross power spectrum  6 ,  14 ... \n",
      "starting angular cross power spectrum  6 ,  15 ... \n",
      "starting angular cross power spectrum  6 ,  16 ... \n",
      "starting angular cross power spectrum  7 ,  7 ... \n",
      "window  1 : galaxies  7\n",
      "window  2 : galaxies  7\n",
      "starting angular cross power spectrum  7 ,  8 ... \n",
      "starting angular cross power spectrum  7 ,  9 ... \n",
      "starting angular cross power spectrum  7 ,  10 ... \n",
      "starting angular cross power spectrum  7 ,  11 ... \n",
      "starting angular cross power spectrum  7 ,  12 ... \n",
      "starting angular cross power spectrum  7 ,  13 ... \n",
      "starting angular cross power spectrum  7 ,  14 ... \n",
      "starting angular cross power spectrum  7 ,  15 ... \n",
      "starting angular cross power spectrum  7 ,  16 ... \n",
      "starting angular cross power spectrum  8 ,  8 ... \n",
      "window  1 : galaxies  8\n",
      "window  2 : galaxies  8\n",
      "starting angular cross power spectrum  8 ,  9 ... \n",
      "starting angular cross power spectrum  8 ,  10 ... \n",
      "starting angular cross power spectrum  8 ,  11 ... \n",
      "starting angular cross power spectrum  8 ,  12 ... \n",
      "starting angular cross power spectrum  8 ,  13 ... \n",
      "starting angular cross power spectrum  8 ,  14 ... \n",
      "starting angular cross power spectrum  8 ,  15 ... \n",
      "starting angular cross power spectrum  8 ,  16 ... \n",
      "starting angular cross power spectrum  9 ,  9 ... \n",
      "window  1 : galaxies  9\n",
      "window  2 : galaxies  9\n",
      "starting angular cross power spectrum  9 ,  10 ... \n",
      "starting angular cross power spectrum  9 ,  11 ... \n",
      "starting angular cross power spectrum  9 ,  12 ... \n",
      "starting angular cross power spectrum  9 ,  13 ... \n",
      "starting angular cross power spectrum  9 ,  14 ... \n",
      "starting angular cross power spectrum  9 ,  15 ... \n",
      "starting angular cross power spectrum  9 ,  16 ... \n",
      "starting angular cross power spectrum  10 ,  10 ... \n",
      "window  1 : galaxies  10\n",
      "window  2 : galaxies  10\n",
      "starting angular cross power spectrum  10 ,  11 ... \n",
      "starting angular cross power spectrum  10 ,  12 ... \n",
      "starting angular cross power spectrum  10 ,  13 ... \n",
      "starting angular cross power spectrum  10 ,  14 ... \n",
      "starting angular cross power spectrum  10 ,  15 ... \n",
      "starting angular cross power spectrum  10 ,  16 ... \n",
      "starting angular cross power spectrum  11 ,  11 ... \n",
      "window  1 : galaxies  11\n",
      "window  2 : galaxies  11\n",
      "starting angular cross power spectrum  11 ,  12 ... \n",
      "starting angular cross power spectrum  11 ,  13 ... \n",
      "starting angular cross power spectrum  11 ,  14 ... \n",
      "starting angular cross power spectrum  11 ,  15 ... \n",
      "starting angular cross power spectrum  11 ,  16 ... \n",
      "starting angular cross power spectrum  12 ,  12 ... \n",
      "window  1 : galaxies  12\n",
      "window  2 : galaxies  12\n",
      "starting angular cross power spectrum  12 ,  13 ... \n",
      "starting angular cross power spectrum  12 ,  14 ... \n",
      "starting angular cross power spectrum  12 ,  15 ... \n",
      "starting angular cross power spectrum  12 ,  16 ... \n",
      "starting angular cross power spectrum  13 ,  13 ... \n",
      "window  1 : galaxies  13\n",
      "window  2 : galaxies  13\n",
      "starting angular cross power spectrum  13 ,  14 ... \n",
      "starting angular cross power spectrum  13 ,  15 ... \n",
      "starting angular cross power spectrum  13 ,  16 ... \n",
      "starting angular cross power spectrum  14 ,  14 ... \n",
      "window  1 : galaxies  14\n",
      "window  2 : galaxies  14\n",
      "starting angular cross power spectrum  14 ,  15 ... \n",
      "starting angular cross power spectrum  14 ,  16 ... \n",
      "starting angular cross power spectrum  15 ,  15 ... \n",
      "window  1 : galaxies  15\n",
      "window  2 : galaxies  15\n",
      "starting angular cross power spectrum  15 ,  16 ... \n",
      "starting angular cross power spectrum  16 ,  16 ... \n",
      "window  1 : galaxies  16\n",
      "window  2 : galaxies  16\n",
      "starting cross power with binned kappa... \n",
      "starting angular cross power spectrum  0 ,  0 ... \n",
      "window  1 : kappa  1\n",
      "window  2 : kappa  1\n",
      "window  1 : kappa  1\n",
      "window  2 : galaxies  1\n",
      "window  1 : galaxies  1\n",
      "window  2 : galaxies  1\n",
      "starting angular cross power spectrum  1 ,  1 ... \n",
      "window  1 : kappa  2\n",
      "window  2 : kappa  2\n",
      "window  1 : kappa  2\n",
      "window  2 : galaxies  2\n",
      "window  1 : galaxies  2\n",
      "window  2 : galaxies  2\n",
      "starting angular cross power spectrum  2 ,  2 ... \n",
      "window  1 : kappa  3\n",
      "window  2 : kappa  3\n",
      "window  1 : kappa  3\n",
      "window  2 : galaxies  3\n",
      "window  1 : galaxies  3\n",
      "window  2 : galaxies  3\n",
      "starting angular cross power spectrum  3 ,  3 ... \n",
      "window  1 : kappa  4\n",
      "window  2 : kappa  4\n",
      "window  1 : kappa  4\n",
      "window  2 : galaxies  4\n",
      "window  1 : galaxies  4\n",
      "window  2 : galaxies  4\n",
      "starting angular cross power spectrum  4 ,  4 ... \n",
      "window  1 : kappa  5\n",
      "window  2 : kappa  5\n",
      "window  1 : kappa  5\n",
      "window  2 : galaxies  5\n",
      "window  1 : galaxies  5\n",
      "window  2 : galaxies  5\n",
      "starting angular cross power spectrum  5 ,  5 ... \n",
      "window  1 : kappa  6\n",
      "window  2 : kappa  6\n",
      "window  1 : kappa  6\n",
      "window  2 : galaxies  6\n",
      "window  1 : galaxies  6\n",
      "window  2 : galaxies  6\n",
      "starting angular cross power spectrum  6 ,  6 ... \n",
      "window  1 : kappa  7\n",
      "window  2 : kappa  7\n",
      "window  1 : kappa  7\n",
      "window  2 : galaxies  7\n",
      "window  1 : galaxies  7\n",
      "window  2 : galaxies  7\n",
      "starting angular cross power spectrum  7 ,  7 ... \n",
      "window  1 : kappa  8\n",
      "window  2 : kappa  8\n",
      "window  1 : kappa  8\n",
      "window  2 : galaxies  8\n",
      "window  1 : galaxies  8\n",
      "window  2 : galaxies  8\n",
      "starting angular cross power spectrum  8 ,  8 ... \n",
      "window  1 : kappa  9\n",
      "window  2 : kappa  9\n",
      "window  1 : kappa  9\n",
      "window  2 : galaxies  9\n",
      "window  1 : galaxies  9\n",
      "window  2 : galaxies  9\n",
      "starting angular cross power spectrum  9 ,  9 ... \n",
      "window  1 : kappa  10\n",
      "window  2 : kappa  10\n",
      "window  1 : kappa  10\n",
      "window  2 : galaxies  10\n",
      "window  1 : galaxies  10\n",
      "window  2 : galaxies  10\n",
      "starting angular cross power spectrum  10 ,  10 ... \n",
      "window  1 : kappa  11\n",
      "window  2 : kappa  11\n",
      "window  1 : kappa  11\n",
      "window  2 : galaxies  11\n",
      "window  1 : galaxies  11\n",
      "window  2 : galaxies  11\n",
      "starting angular cross power spectrum  11 ,  11 ... \n",
      "window  1 : kappa  12\n",
      "window  2 : kappa  12\n",
      "window  1 : kappa  12\n",
      "window  2 : galaxies  12\n",
      "window  1 : galaxies  12\n",
      "window  2 : galaxies  12\n",
      "starting angular cross power spectrum  12 ,  12 ... \n",
      "window  1 : kappa  13\n",
      "window  2 : kappa  13\n",
      "window  1 : kappa  13\n",
      "window  2 : galaxies  13\n",
      "window  1 : galaxies  13\n",
      "window  2 : galaxies  13\n",
      "starting angular cross power spectrum  13 ,  13 ... \n",
      "window  1 : kappa  14\n",
      "window  2 : kappa  14\n",
      "window  1 : kappa  14\n",
      "window  2 : galaxies  14\n",
      "window  1 : galaxies  14\n",
      "window  2 : galaxies  14\n",
      "starting angular cross power spectrum  14 ,  14 ... \n",
      "window  1 : kappa  15\n",
      "window  2 : kappa  15\n",
      "window  1 : kappa  15\n",
      "window  2 : galaxies  15\n",
      "window  1 : galaxies  15\n",
      "window  2 : galaxies  15\n",
      "starting angular cross power spectrum  15 ,  15 ... \n",
      "window  1 : kappa  16\n",
      "window  2 : kappa  16\n",
      "window  1 : kappa  16\n",
      "window  2 : galaxies  16\n",
      "window  1 : galaxies  16\n",
      "window  2 : galaxies  16\n",
      "building covariance matrix... \n",
      "starting covariance set  1  of  17 ... \n",
      "starting covariance set  2  of  17 ... \n",
      "starting covariance set  3  of  17 ... \n",
      "starting covariance set  4  of  17 ... \n",
      "starting covariance set  5  of  17 ... \n",
      "starting covariance set  6  of  17 ... \n",
      "starting covariance set  7  of  17 ... \n",
      "starting covariance set  8  of  17 ... \n",
      "starting covariance set  9  of  17 ... \n",
      "starting covariance set  10  of  17 ... \n",
      "starting covariance set  11  of  17 ... \n",
      "starting covariance set  12  of  17 ... \n",
      "starting covariance set  13  of  17 ... \n",
      "starting covariance set  14  of  17 ... \n",
      "starting covariance set  15  of  17 ... \n",
      "starting covariance set  16  of  17 ... \n",
      "starting covariance set  17  of  17 ... \n",
      "inverting covariance matrix... \n",
      "starting creation of C_l derivatives... \n",
      "starting derivative set  1  of  17 ... \n",
      "starting derivative set  2  of  17 ... \n",
      "starting derivative set  3  of  17 ... \n",
      "starting derivative set  4  of  17 ... \n",
      "starting derivative set  5  of  17 ... \n",
      "starting derivative set  6  of  17 ... \n",
      "starting derivative set  7  of  17 ... \n",
      "starting derivative set  8  of  17 ... \n",
      "starting derivative set  9  of  17 ... \n",
      "starting derivative set  10  of  17 ... \n",
      "starting derivative set  11  of  17 ... \n",
      "starting derivative set  12  of  17 ... \n",
      "starting derivative set  13  of  17 ... \n",
      "starting derivative set  14  of  17 ... \n",
      "starting derivative set  15  of  17 ... \n",
      "starting derivative set  16  of  17 ... \n",
      "starting derivative set  17  of  17 ... \n",
      "building Fisher matrix from components...\n",
      "invCov.shape:  (153, 153, 1999) , dClVecs.shape:  (153, 32, 1999)\n",
      "starting bin set  1  of  32\n",
      "starting bin set  2  of  32\n",
      "starting bin set  3  of  32\n",
      "starting bin set  4  of  32\n",
      "starting bin set  5  of  32\n",
      "starting bin set  6  of  32\n",
      "starting bin set  7  of  32\n",
      "starting bin set  8  of  32\n",
      "starting bin set  9  of  32\n",
      "starting bin set  10  of  32\n",
      "starting bin set  11  of  32\n",
      "starting bin set  12  of  32\n",
      "starting bin set  13  of  32\n",
      "starting bin set  14  of  32\n",
      "starting bin set  15  of  32\n",
      "starting bin set  16  of  32\n",
      "starting bin set  17  of  32\n",
      "starting bin set  18  of  32\n",
      "starting bin set  19  of  32\n",
      "starting bin set  20  of  32\n",
      "starting bin set  21  of  32\n",
      "starting bin set  22  of  32\n",
      "starting bin set  23  of  32\n",
      "starting bin set  24  of  32\n",
      "starting bin set  25  of  32\n",
      "starting bin set  26  of  32\n",
      "starting bin set  27  of  32\n",
      "starting bin set  28  of  32\n",
      "starting bin set  29  of  32\n",
      "starting bin set  30  of  32\n",
      "starting bin set  31  of  32\n",
      "starting bin set  32  of  32\n",
      "creation of Fisher Matrix complete!\n",
      "\n",
      "inverting Fij  4  of  4\n",
      "eigenvalues:  [  7.14394482e-08   7.93810652e-08   8.71800159e-08   9.36065100e-08\n",
      "   9.87242665e-08   1.02772434e-07   1.06025721e-07   1.08639101e-07\n",
      "   1.10772824e-07   1.12529129e-07   1.13993445e-07   1.15221202e-07\n",
      "   1.16259707e-07   1.17146396e-07   1.17909751e-07   1.18569559e-07\n",
      "   4.36847546e-06   4.49758952e-06   5.51920115e-06   7.13484603e-06\n",
      "   8.87004301e-06   1.11683963e-05   1.19279425e-05   1.49206843e-05\n",
      "   1.89092370e-05   2.32263261e-05   3.01252022e-05   3.76831009e-05\n",
      "   4.48240443e-05   5.33584452e-05   6.81235965e-05   8.17141432e-05]\n",
      "sigmas:  [ 0.00220831  0.00129553  0.00120516  0.00121863  0.00126703  0.00129945\n",
      "  0.00138858  0.00144085  0.00151044  0.00156605  0.00167219  0.00176078\n",
      "  0.00181515  0.00187682  0.00201238  0.00209845  0.00252254  0.00166417\n",
      "  0.00176985  0.00203169  0.00237239  0.00269893  0.00317897  0.00359906\n",
      "  0.00409128  0.00457016  0.00523861  0.0058905   0.00645333  0.00706775\n",
      "  0.00801198  0.00879939]\n",
      "eigenvalues of all inverses of Fisher matrices:  [  1.01305153e-07   1.15599260e-07   1.45975543e-06   5.79181684e-06\n",
      "   8.84334902e-08   1.04619856e-07   1.13236484e-07   1.17494038e-07\n",
      "   1.64501919e-06   2.81370482e-06   6.95691208e-06   1.55913191e-05\n",
      "   7.81167522e-08   9.07966737e-08   1.00817071e-07   1.07351100e-07\n",
      "   1.11656011e-07   1.14610644e-07   1.16703892e-07   1.18240407e-07\n",
      "   2.59949117e-06   3.25903570e-06   4.07884242e-06   6.78106339e-06\n",
      "   1.06092478e-05   1.69991249e-05   2.46617460e-05   3.75689197e-05\n",
      "   7.14394482e-08   7.93810652e-08   8.71800159e-08   9.36065100e-08\n",
      "   9.87242665e-08   1.02772434e-07   1.06025721e-07   1.08639101e-07\n",
      "   1.10772824e-07   1.12529129e-07   1.13993445e-07   1.15221202e-07\n",
      "   1.16259707e-07   1.17146396e-07   1.17909751e-07   1.18569559e-07\n",
      "   4.36847546e-06   4.49758952e-06   5.51920115e-06   7.13484603e-06\n",
      "   8.87004301e-06   1.11683963e-05   1.19279425e-05   1.49206843e-05\n",
      "   1.89092370e-05   2.32263261e-05   3.01252022e-05   3.76831009e-05\n",
      "   4.48240443e-05   5.33584452e-05   6.81235965e-05   8.17141432e-05]\n"
     ]
    },
    {
     "data": {
      "image/png": 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5bNgwvt6lS9jhiIgkpV9v2MAP+/ShXUpK2KHEhBJ5EZE4qnLnZ2vX8rdt23hz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7jehYoKePNNH95ffRUGDPA971de6Ye6FZHoFOQTTDuF7LRzZ9OwXlTkT0/t169pYO/dO20mTBSp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\niAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11995c250>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 1. with doNorm = True, useWk = True in winGalaxies\n",
    "eigs1,fidAs1,fidBs1,sigmasA1,sigmasB1 = fcl.plotSigmasByNBins(zmax=4,doNorm=True,useWk=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 181,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      " starting Fisher Matrix  1  of  4 , with nBins= 2\n",
      "creating matter power spectrum object...\n",
      "zs.size:  998\n",
      "fiducial bs:  [ 2.17175357  3.52752398]\n",
      "fiducial As:  [ 1.00195471  1.00125928]\n",
      "starting cross power with entire kappa... \n",
      "starting angular cross power spectrum  0 ,  0 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : kappa  0\n",
      "starting angular cross power spectrum  0 ,  1 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  1\n",
      "starting angular cross power spectrum  0 ,  2 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  2\n",
      "starting angular cross power spectrum  1 ,  1 ... \n",
      "window  1 : galaxies  1\n",
      "window  2 : galaxies  1\n",
      "starting angular cross power spectrum  1 ,  2 ... \n",
      "starting angular cross power spectrum  2 ,  2 ... \n",
      "window  1 : galaxies  2\n",
      "window  2 : galaxies  2\n",
      "starting cross power with binned kappa... \n",
      "starting angular cross power spectrum  0 ,  0 ... \n",
      "window  1 : kappa  1\n",
      "window  2 : kappa  1\n",
      "window  1 : kappa  1\n",
      "window  2 : galaxies  1\n",
      "window  1 : galaxies  1\n",
      "window  2 : galaxies  1\n",
      "starting angular cross power spectrum  1 ,  1 ... \n",
      "window  1 : kappa  2\n",
      "window  2 : kappa  2\n",
      "window  1 : kappa  2\n",
      "window  2 : galaxies  2\n",
      "window  1 : galaxies  2\n",
      "window  2 : galaxies  2\n",
      "building covariance matrix... \n",
      "starting covariance set  1  of  3 ... \n",
      "starting covariance set  2  of  3 ... \n",
      "starting covariance set  3  of  3 ... \n",
      "inverting covariance matrix... \n",
      "starting creation of C_l derivatives... \n",
      "starting derivative set  1  of  3 ... \n",
      "starting derivative set  2  of  3 ... \n",
      "starting derivative set  3  of  3 ... \n",
      "building Fisher matrix from components...\n",
      "invCov.shape:  (6, 6, 1999) , dClVecs.shape:  (6, 4, 1999)\n",
      "starting bin set  1  of  4\n",
      "starting bin set  2  of  4\n",
      "starting bin set  3  of  4\n",
      "starting bin set  4  of  4\n",
      "creation of Fisher Matrix complete!\n",
      "\n",
      "inverting Fij  1  of  4\n",
      "eigenvalues:  [  1.01305153e-07   1.15599260e-07   1.45975543e-06   5.79181684e-06]\n",
      "sigmas:  [ 0.00061125  0.00074544  0.00108973  0.00231337]\n",
      "\n",
      " starting Fisher Matrix  2  of  4 , with nBins= 4\n",
      "creating matter power spectrum object...\n",
      "zs.size:  998\n",
      "fiducial bs:  [ 1.61216739  2.31005893  3.11294799  3.93722679]\n",
      "fiducial As:  [ 1.00203425  1.00130328  1.00116391  1.00110904]\n",
      "starting cross power with entire kappa... \n",
      "starting angular cross power spectrum  0 ,  0 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : kappa  0\n",
      "starting angular cross power spectrum  0 ,  1 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  1\n",
      "starting angular cross power spectrum  0 ,  2 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  2\n",
      "starting angular cross power spectrum  0 ,  3 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  3\n",
      "starting angular cross power spectrum  0 ,  4 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  4\n",
      "starting angular cross power spectrum  1 ,  1 ... \n",
      "window  1 : galaxies  1\n",
      "window  2 : galaxies  1\n",
      "starting angular cross power spectrum  1 ,  2 ... \n",
      "starting angular cross power spectrum  1 ,  3 ... \n",
      "starting angular cross power spectrum  1 ,  4 ... \n",
      "starting angular cross power spectrum  2 ,  2 ... \n",
      "window  1 : galaxies  2\n",
      "window  2 : galaxies  2\n",
      "starting angular cross power spectrum  2 ,  3 ... \n",
      "starting angular cross power spectrum  2 ,  4 ... \n",
      "starting angular cross power spectrum  3 ,  3 ... \n",
      "window  1 : galaxies  3\n",
      "window  2 : galaxies  3\n",
      "starting angular cross power spectrum  3 ,  4 ... \n",
      "starting angular cross power spectrum  4 ,  4 ... \n",
      "window  1 : galaxies  4\n",
      "window  2 : galaxies  4\n",
      "starting cross power with binned kappa... \n",
      "starting angular cross power spectrum  0 ,  0 ... \n",
      "window  1 : kappa  1\n",
      "window  2 : kappa  1\n",
      "window  1 : kappa  1\n",
      "window  2 : galaxies  1\n",
      "window  1 : galaxies  1\n",
      "window  2 : galaxies  1\n",
      "starting angular cross power spectrum  1 ,  1 ... \n",
      "window  1 : kappa  2\n",
      "window  2 : kappa  2\n",
      "window  1 : kappa  2\n",
      "window  2 : galaxies  2\n",
      "window  1 : galaxies  2\n",
      "window  2 : galaxies  2\n",
      "starting angular cross power spectrum  2 ,  2 ... \n",
      "window  1 : kappa  3\n",
      "window  2 : kappa  3\n",
      "window  1 : kappa  3\n",
      "window  2 : galaxies  3\n",
      "window  1 : galaxies  3\n",
      "window  2 : galaxies  3\n",
      "starting angular cross power spectrum  3 ,  3 ... \n",
      "window  1 : kappa  4\n",
      "window  2 : kappa  4\n",
      "window  1 : kappa  4\n",
      "window  2 : galaxies  4\n",
      "window  1 : galaxies  4\n",
      "window  2 : galaxies  4\n",
      "building covariance matrix... \n",
      "starting covariance set  1  of  5 ... \n",
      "starting covariance set  2  of  5 ... \n",
      "starting covariance set  3  of  5 ... \n",
      "starting covariance set  4  of  5 ... \n",
      "starting covariance set  5  of  5 ... \n",
      "inverting covariance matrix... \n",
      "starting creation of C_l derivatives... \n",
      "starting derivative set  1  of  5 ... \n",
      "starting derivative set  2  of  5 ... \n",
      "starting derivative set  3  of  5 ... \n",
      "starting derivative set  4  of  5 ... \n",
      "starting derivative set  5  of  5 ... \n",
      "building Fisher matrix from components...\n",
      "invCov.shape:  (15, 15, 1999) , dClVecs.shape:  (15, 8, 1999)\n",
      "starting bin set  1  of  8\n",
      "starting bin set  2  of  8\n",
      "starting bin set  3  of  8\n",
      "starting bin set  4  of  8\n",
      "starting bin set  5  of  8\n",
      "starting bin set  6  of  8\n",
      "starting bin set  7  of  8\n",
      "starting bin set  8  of  8\n",
      "creation of Fisher Matrix complete!\n",
      "\n",
      "inverting Fij  2  of  4\n",
      "eigenvalues:  [  8.84334902e-08   1.04619856e-07   1.13236484e-07   1.17494038e-07\n",
      "   1.64501919e-06   2.81370482e-06   6.95691208e-06   1.55913191e-05]\n",
      "sigmas:  [ 0.00075701  0.00075283  0.00088098  0.00103512  0.00107722  0.00153348\n",
      "  0.00250879  0.00382588]\n",
      "\n",
      " starting Fisher Matrix  3  of  4 , with nBins= 8\n",
      "creating matter power spectrum object...\n",
      "zs.size:  998\n",
      "fiducial bs:  [ 1.31336283  1.66697151  2.06888487  2.48113088  2.89695688  3.31442616\n",
      "  3.73278304  4.15167301]\n",
      "fiducial As:  [ 1.00205919  1.00134036  1.00119006  1.00112739  1.00109404  1.00107371\n",
      "  1.00106017  1.00105058]\n",
      "starting cross power with entire kappa... \n",
      "starting angular cross power spectrum  0 ,  0 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : kappa  0\n",
      "starting angular cross power spectrum  0 ,  1 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  1\n",
      "starting angular cross power spectrum  0 ,  2 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  2\n",
      "starting angular cross power spectrum  0 ,  3 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  3\n",
      "starting angular cross power spectrum  0 ,  4 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  4\n",
      "starting angular cross power spectrum  0 ,  5 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  5\n",
      "starting angular cross power spectrum  0 ,  6 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  6\n",
      "starting angular cross power spectrum  0 ,  7 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  7\n",
      "starting angular cross power spectrum  0 ,  8 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  8\n",
      "starting angular cross power spectrum  1 ,  1 ... \n",
      "window  1 : galaxies  1\n",
      "window  2 : galaxies  1\n",
      "starting angular cross power spectrum  1 ,  2 ... \n",
      "starting angular cross power spectrum  1 ,  3 ... \n",
      "starting angular cross power spectrum  1 ,  4 ... \n",
      "starting angular cross power spectrum  1 ,  5 ... \n",
      "starting angular cross power spectrum  1 ,  6 ... \n",
      "starting angular cross power spectrum  1 ,  7 ... \n",
      "starting angular cross power spectrum  1 ,  8 ... \n",
      "starting angular cross power spectrum  2 ,  2 ... \n",
      "window  1 : galaxies  2\n",
      "window  2 : galaxies  2\n",
      "starting angular cross power spectrum  2 ,  3 ... \n",
      "starting angular cross power spectrum  2 ,  4 ... \n",
      "starting angular cross power spectrum  2 ,  5 ... \n",
      "starting angular cross power spectrum  2 ,  6 ... \n",
      "starting angular cross power spectrum  2 ,  7 ... \n",
      "starting angular cross power spectrum  2 ,  8 ... \n",
      "starting angular cross power spectrum  3 ,  3 ... \n",
      "window  1 : galaxies  3\n",
      "window  2 : galaxies  3\n",
      "starting angular cross power spectrum  3 ,  4 ... \n",
      "starting angular cross power spectrum  3 ,  5 ... \n",
      "starting angular cross power spectrum  3 ,  6 ... \n",
      "starting angular cross power spectrum  3 ,  7 ... \n",
      "starting angular cross power spectrum  3 ,  8 ... \n",
      "starting angular cross power spectrum  4 ,  4 ... \n",
      "window  1 : galaxies  4\n",
      "window  2 : galaxies  4\n",
      "starting angular cross power spectrum  4 ,  5 ... \n",
      "starting angular cross power spectrum  4 ,  6 ... \n",
      "starting angular cross power spectrum  4 ,  7 ... \n",
      "starting angular cross power spectrum  4 ,  8 ... \n",
      "starting angular cross power spectrum  5 ,  5 ... \n",
      "window  1 : galaxies  5\n",
      "window  2 : galaxies  5\n",
      "starting angular cross power spectrum  5 ,  6 ... \n",
      "starting angular cross power spectrum  5 ,  7 ... \n",
      "starting angular cross power spectrum  5 ,  8 ... \n",
      "starting angular cross power spectrum  6 ,  6 ... \n",
      "window  1 : galaxies  6\n",
      "window  2 : galaxies  6\n",
      "starting angular cross power spectrum  6 ,  7 ... \n",
      "starting angular cross power spectrum  6 ,  8 ... \n",
      "starting angular cross power spectrum  7 ,  7 ... \n",
      "window  1 : galaxies  7\n",
      "window  2 : galaxies  7\n",
      "starting angular cross power spectrum  7 ,  8 ... \n",
      "starting angular cross power spectrum  8 ,  8 ... \n",
      "window  1 : galaxies  8\n",
      "window  2 : galaxies  8\n",
      "starting cross power with binned kappa... \n",
      "starting angular cross power spectrum  0 ,  0 ... \n",
      "window  1 : kappa  1\n",
      "window  2 : kappa  1\n",
      "window  1 : kappa  1\n",
      "window  2 : galaxies  1\n",
      "window  1 : galaxies  1\n",
      "window  2 : galaxies  1\n",
      "starting angular cross power spectrum  1 ,  1 ... \n",
      "window  1 : kappa  2\n",
      "window  2 : kappa  2\n",
      "window  1 : kappa  2\n",
      "window  2 : galaxies  2\n",
      "window  1 : galaxies  2\n",
      "window  2 : galaxies  2\n",
      "starting angular cross power spectrum  2 ,  2 ... \n",
      "window  1 : kappa  3\n",
      "window  2 : kappa  3\n",
      "window  1 : kappa  3\n",
      "window  2 : galaxies  3\n",
      "window  1 : galaxies  3\n",
      "window  2 : galaxies  3\n",
      "starting angular cross power spectrum  3 ,  3 ... \n",
      "window  1 : kappa  4\n",
      "window  2 : kappa  4\n",
      "window  1 : kappa  4\n",
      "window  2 : galaxies  4\n",
      "window  1 : galaxies  4\n",
      "window  2 : galaxies  4\n",
      "starting angular cross power spectrum  4 ,  4 ... \n",
      "window  1 : kappa  5\n",
      "window  2 : kappa  5\n",
      "window  1 : kappa  5\n",
      "window  2 : galaxies  5\n",
      "window  1 : galaxies  5\n",
      "window  2 : galaxies  5\n",
      "starting angular cross power spectrum  5 ,  5 ... \n",
      "window  1 : kappa  6\n",
      "window  2 : kappa  6\n",
      "window  1 : kappa  6\n",
      "window  2 : galaxies  6\n",
      "window  1 : galaxies  6\n",
      "window  2 : galaxies  6\n",
      "starting angular cross power spectrum  6 ,  6 ... \n",
      "window  1 : kappa  7\n",
      "window  2 : kappa  7\n",
      "window  1 : kappa  7\n",
      "window  2 : galaxies  7\n",
      "window  1 : galaxies  7\n",
      "window  2 : galaxies  7\n",
      "starting angular cross power spectrum  7 ,  7 ... \n",
      "window  1 : kappa  8\n",
      "window  2 : kappa  8\n",
      "window  1 : kappa  8\n",
      "window  2 : galaxies  8\n",
      "window  1 : galaxies  8\n",
      "window  2 : galaxies  8\n",
      "building covariance matrix... \n",
      "starting covariance set  1  of  9 ... \n",
      "starting covariance set  2  of  9 ... \n",
      "starting covariance set  3  of  9 ... \n",
      "starting covariance set  4  of  9 ... \n",
      "starting covariance set  5  of  9 ... \n",
      "starting covariance set  6  of  9 ... \n",
      "starting covariance set  7  of  9 ... \n",
      "starting covariance set  8  of  9 ... \n",
      "starting covariance set  9  of  9 ... \n",
      "inverting covariance matrix... \n",
      "starting creation of C_l derivatives... \n",
      "starting derivative set  1  of  9 ... \n",
      "starting derivative set  2  of  9 ... \n",
      "starting derivative set  3  of  9 ... \n",
      "starting derivative set  4  of  9 ... \n",
      "starting derivative set  5  of  9 ... \n",
      "starting derivative set  6  of  9 ... \n",
      "starting derivative set  7  of  9 ... \n",
      "starting derivative set  8  of  9 ... \n",
      "starting derivative set  9  of  9 ... \n",
      "building Fisher matrix from components...\n",
      "invCov.shape:  (45, 45, 1999) , dClVecs.shape:  (45, 16, 1999)\n",
      "starting bin set  1  of  16\n",
      "starting bin set  2  of  16\n",
      "starting bin set  3  of  16\n",
      "starting bin set  4  of  16\n",
      "starting bin set  5  of  16\n",
      "starting bin set  6  of  16\n",
      "starting bin set  7  of  16\n",
      "starting bin set  8  of  16\n",
      "starting bin set  9  of  16\n",
      "starting bin set  10  of  16\n",
      "starting bin set  11  of  16\n",
      "starting bin set  12  of  16\n",
      "starting bin set  13  of  16\n",
      "starting bin set  14  of  16\n",
      "starting bin set  15  of  16\n",
      "starting bin set  16  of  16\n",
      "creation of Fisher Matrix complete!\n",
      "\n",
      "inverting Fij  3  of  4\n",
      "eigenvalues:  [  7.81167522e-08   9.07966737e-08   1.00817071e-07   1.07351100e-07\n",
      "   1.11656011e-07   1.14610644e-07   1.16703892e-07   1.18240407e-07\n",
      "   2.59949117e-06   3.25903570e-06   4.07884242e-06   6.78106339e-06\n",
      "   1.06092478e-05   1.69991249e-05   2.46617460e-05   3.75689197e-05]\n",
      "sigmas:  [ 0.00114315  0.00089735  0.00094575  0.00103541  0.00112047  0.00124313\n",
      "  0.00133389  0.00147951  0.0014249   0.00137297  0.00181252  0.00241171\n",
      "  0.0030766   0.00394568  0.00479575  0.00595804]\n",
      "\n",
      " starting Fisher Matrix  4  of  4 , with nBins= 16\n",
      "creating matter power spectrum object...\n",
      "zs.size:  998\n",
      "fiducial bs:  [ 1.15957405  1.33705723  1.5380536   1.74417406  1.9520848   2.16082082\n",
      "  2.37000379  2.57945566  2.78908177  2.99882719  3.20865786  3.41855155\n",
      "  3.62849315  3.83847201  4.04848042  4.25851266]\n",
      "fiducial As:  [ 1.00204904  1.0013554   1.00120852  1.00114403  1.0011081   1.00108546\n",
      "  1.00107005  1.00105898  1.00105069  1.00104429  1.00103921  1.0010351\n",
      "  1.00103171  1.00102888  1.00102647  1.00102441]\n",
      "starting cross power with entire kappa... \n",
      "starting angular cross power spectrum  0 ,  0 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : kappa  0\n",
      "starting angular cross power spectrum  0 ,  1 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  1\n",
      "starting angular cross power spectrum  0 ,  2 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  2\n",
      "starting angular cross power spectrum  0 ,  3 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  3\n",
      "starting angular cross power spectrum  0 ,  4 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  4\n",
      "starting angular cross power spectrum  0 ,  5 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  5\n",
      "starting angular cross power spectrum  0 ,  6 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  6\n",
      "starting angular cross power spectrum  0 ,  7 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  7\n",
      "starting angular cross power spectrum  0 ,  8 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  8\n",
      "starting angular cross power spectrum  0 ,  9 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  9\n",
      "starting angular cross power spectrum  0 ,  10 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  10\n",
      "starting angular cross power spectrum  0 ,  11 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  11\n",
      "starting angular cross power spectrum  0 ,  12 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  12\n",
      "starting angular cross power spectrum  0 ,  13 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  13\n",
      "starting angular cross power spectrum  0 ,  14 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  14\n",
      "starting angular cross power spectrum  0 ,  15 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  15\n",
      "starting angular cross power spectrum  0 ,  16 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  16\n",
      "starting angular cross power spectrum  1 ,  1 ... \n",
      "window  1 : galaxies  1\n",
      "window  2 : galaxies  1\n",
      "starting angular cross power spectrum  1 ,  2 ... \n",
      "starting angular cross power spectrum  1 ,  3 ... \n",
      "starting angular cross power spectrum  1 ,  4 ... \n",
      "starting angular cross power spectrum  1 ,  5 ... \n",
      "starting angular cross power spectrum  1 ,  6 ... \n",
      "starting angular cross power spectrum  1 ,  7 ... \n",
      "starting angular cross power spectrum  1 ,  8 ... \n",
      "starting angular cross power spectrum  1 ,  9 ... \n",
      "starting angular cross power spectrum  1 ,  10 ... \n",
      "starting angular cross power spectrum  1 ,  11 ... \n",
      "starting angular cross power spectrum  1 ,  12 ... \n",
      "starting angular cross power spectrum  1 ,  13 ... \n",
      "starting angular cross power spectrum  1 ,  14 ... \n",
      "starting angular cross power spectrum  1 ,  15 ... \n",
      "starting angular cross power spectrum  1 ,  16 ... \n",
      "starting angular cross power spectrum  2 ,  2 ... \n",
      "window  1 : galaxies  2\n",
      "window  2 : galaxies  2\n",
      "starting angular cross power spectrum  2 ,  3 ... \n",
      "starting angular cross power spectrum  2 ,  4 ... \n",
      "starting angular cross power spectrum  2 ,  5 ... \n",
      "starting angular cross power spectrum  2 ,  6 ... \n",
      "starting angular cross power spectrum  2 ,  7 ... \n",
      "starting angular cross power spectrum  2 ,  8 ... \n",
      "starting angular cross power spectrum  2 ,  9 ... \n",
      "starting angular cross power spectrum  2 ,  10 ... \n",
      "starting angular cross power spectrum  2 ,  11 ... \n",
      "starting angular cross power spectrum  2 ,  12 ... \n",
      "starting angular cross power spectrum  2 ,  13 ... \n",
      "starting angular cross power spectrum  2 ,  14 ... \n",
      "starting angular cross power spectrum  2 ,  15 ... \n",
      "starting angular cross power spectrum  2 ,  16 ... \n",
      "starting angular cross power spectrum  3 ,  3 ... \n",
      "window  1 : galaxies  3\n",
      "window  2 : galaxies  3\n",
      "starting angular cross power spectrum  3 ,  4 ... \n",
      "starting angular cross power spectrum  3 ,  5 ... \n",
      "starting angular cross power spectrum  3 ,  6 ... \n",
      "starting angular cross power spectrum  3 ,  7 ... \n",
      "starting angular cross power spectrum  3 ,  8 ... \n",
      "starting angular cross power spectrum  3 ,  9 ... \n",
      "starting angular cross power spectrum  3 ,  10 ... \n",
      "starting angular cross power spectrum  3 ,  11 ... \n",
      "starting angular cross power spectrum  3 ,  12 ... \n",
      "starting angular cross power spectrum  3 ,  13 ... \n",
      "starting angular cross power spectrum  3 ,  14 ... \n",
      "starting angular cross power spectrum  3 ,  15 ... \n",
      "starting angular cross power spectrum  3 ,  16 ... \n",
      "starting angular cross power spectrum  4 ,  4 ... \n",
      "window  1 : galaxies  4\n",
      "window  2 : galaxies  4\n",
      "starting angular cross power spectrum  4 ,  5 ... \n",
      "starting angular cross power spectrum  4 ,  6 ... \n",
      "starting angular cross power spectrum  4 ,  7 ... \n",
      "starting angular cross power spectrum  4 ,  8 ... \n",
      "starting angular cross power spectrum  4 ,  9 ... \n",
      "starting angular cross power spectrum  4 ,  10 ... \n",
      "starting angular cross power spectrum  4 ,  11 ... \n",
      "starting angular cross power spectrum  4 ,  12 ... \n",
      "starting angular cross power spectrum  4 ,  13 ... \n",
      "starting angular cross power spectrum  4 ,  14 ... \n",
      "starting angular cross power spectrum  4 ,  15 ... \n",
      "starting angular cross power spectrum  4 ,  16 ... \n",
      "starting angular cross power spectrum  5 ,  5 ... \n",
      "window  1 : galaxies  5\n",
      "window  2 : galaxies  5\n",
      "starting angular cross power spectrum  5 ,  6 ... \n",
      "starting angular cross power spectrum  5 ,  7 ... \n",
      "starting angular cross power spectrum  5 ,  8 ... \n",
      "starting angular cross power spectrum  5 ,  9 ... \n",
      "starting angular cross power spectrum  5 ,  10 ... \n",
      "starting angular cross power spectrum  5 ,  11 ... \n",
      "starting angular cross power spectrum  5 ,  12 ... \n",
      "starting angular cross power spectrum  5 ,  13 ... \n",
      "starting angular cross power spectrum  5 ,  14 ... \n",
      "starting angular cross power spectrum  5 ,  15 ... \n",
      "starting angular cross power spectrum  5 ,  16 ... \n",
      "starting angular cross power spectrum  6 ,  6 ... \n",
      "window  1 : galaxies  6\n",
      "window  2 : galaxies  6\n",
      "starting angular cross power spectrum  6 ,  7 ... \n",
      "starting angular cross power spectrum  6 ,  8 ... \n",
      "starting angular cross power spectrum  6 ,  9 ... \n",
      "starting angular cross power spectrum  6 ,  10 ... \n",
      "starting angular cross power spectrum  6 ,  11 ... \n",
      "starting angular cross power spectrum  6 ,  12 ... \n",
      "starting angular cross power spectrum  6 ,  13 ... \n",
      "starting angular cross power spectrum  6 ,  14 ... \n",
      "starting angular cross power spectrum  6 ,  15 ... \n",
      "starting angular cross power spectrum  6 ,  16 ... \n",
      "starting angular cross power spectrum  7 ,  7 ... \n",
      "window  1 : galaxies  7\n",
      "window  2 : galaxies  7\n",
      "starting angular cross power spectrum  7 ,  8 ... \n",
      "starting angular cross power spectrum  7 ,  9 ... \n",
      "starting angular cross power spectrum  7 ,  10 ... \n",
      "starting angular cross power spectrum  7 ,  11 ... \n",
      "starting angular cross power spectrum  7 ,  12 ... \n",
      "starting angular cross power spectrum  7 ,  13 ... \n",
      "starting angular cross power spectrum  7 ,  14 ... \n",
      "starting angular cross power spectrum  7 ,  15 ... \n",
      "starting angular cross power spectrum  7 ,  16 ... \n",
      "starting angular cross power spectrum  8 ,  8 ... \n",
      "window  1 : galaxies  8\n",
      "window  2 : galaxies  8\n",
      "starting angular cross power spectrum  8 ,  9 ... \n",
      "starting angular cross power spectrum  8 ,  10 ... \n",
      "starting angular cross power spectrum  8 ,  11 ... \n",
      "starting angular cross power spectrum  8 ,  12 ... \n",
      "starting angular cross power spectrum  8 ,  13 ... \n",
      "starting angular cross power spectrum  8 ,  14 ... \n",
      "starting angular cross power spectrum  8 ,  15 ... \n",
      "starting angular cross power spectrum  8 ,  16 ... \n",
      "starting angular cross power spectrum  9 ,  9 ... \n",
      "window  1 : galaxies  9\n",
      "window  2 : galaxies  9\n",
      "starting angular cross power spectrum  9 ,  10 ... \n",
      "starting angular cross power spectrum  9 ,  11 ... \n",
      "starting angular cross power spectrum  9 ,  12 ... \n",
      "starting angular cross power spectrum  9 ,  13 ... \n",
      "starting angular cross power spectrum  9 ,  14 ... \n",
      "starting angular cross power spectrum  9 ,  15 ... \n",
      "starting angular cross power spectrum  9 ,  16 ... \n",
      "starting angular cross power spectrum  10 ,  10 ... \n",
      "window  1 : galaxies  10\n",
      "window  2 : galaxies  10\n",
      "starting angular cross power spectrum  10 ,  11 ... \n",
      "starting angular cross power spectrum  10 ,  12 ... \n",
      "starting angular cross power spectrum  10 ,  13 ... \n",
      "starting angular cross power spectrum  10 ,  14 ... \n",
      "starting angular cross power spectrum  10 ,  15 ... \n",
      "starting angular cross power spectrum  10 ,  16 ... \n",
      "starting angular cross power spectrum  11 ,  11 ... \n",
      "window  1 : galaxies  11\n",
      "window  2 : galaxies  11\n",
      "starting angular cross power spectrum  11 ,  12 ... \n",
      "starting angular cross power spectrum  11 ,  13 ... \n",
      "starting angular cross power spectrum  11 ,  14 ... \n",
      "starting angular cross power spectrum  11 ,  15 ... \n",
      "starting angular cross power spectrum  11 ,  16 ... \n",
      "starting angular cross power spectrum  12 ,  12 ... \n",
      "window  1 : galaxies  12\n",
      "window  2 : galaxies  12\n",
      "starting angular cross power spectrum  12 ,  13 ... \n",
      "starting angular cross power spectrum  12 ,  14 ... \n",
      "starting angular cross power spectrum  12 ,  15 ... \n",
      "starting angular cross power spectrum  12 ,  16 ... \n",
      "starting angular cross power spectrum  13 ,  13 ... \n",
      "window  1 : galaxies  13\n",
      "window  2 : galaxies  13\n",
      "starting angular cross power spectrum  13 ,  14 ... \n",
      "starting angular cross power spectrum  13 ,  15 ... \n",
      "starting angular cross power spectrum  13 ,  16 ... \n",
      "starting angular cross power spectrum  14 ,  14 ... \n",
      "window  1 : galaxies  14\n",
      "window  2 : galaxies  14\n",
      "starting angular cross power spectrum  14 ,  15 ... \n",
      "starting angular cross power spectrum  14 ,  16 ... \n",
      "starting angular cross power spectrum  15 ,  15 ... \n",
      "window  1 : galaxies  15\n",
      "window  2 : galaxies  15\n",
      "starting angular cross power spectrum  15 ,  16 ... \n",
      "starting angular cross power spectrum  16 ,  16 ... \n",
      "window  1 : galaxies  16\n",
      "window  2 : galaxies  16\n",
      "starting cross power with binned kappa... \n",
      "starting angular cross power spectrum  0 ,  0 ... \n",
      "window  1 : kappa  1\n",
      "window  2 : kappa  1\n",
      "window  1 : kappa  1\n",
      "window  2 : galaxies  1\n",
      "window  1 : galaxies  1\n",
      "window  2 : galaxies  1\n",
      "starting angular cross power spectrum  1 ,  1 ... \n",
      "window  1 : kappa  2\n",
      "window  2 : kappa  2\n",
      "window  1 : kappa  2\n",
      "window  2 : galaxies  2\n",
      "window  1 : galaxies  2\n",
      "window  2 : galaxies  2\n",
      "starting angular cross power spectrum  2 ,  2 ... \n",
      "window  1 : kappa  3\n",
      "window  2 : kappa  3\n",
      "window  1 : kappa  3\n",
      "window  2 : galaxies  3\n",
      "window  1 : galaxies  3\n",
      "window  2 : galaxies  3\n",
      "starting angular cross power spectrum  3 ,  3 ... \n",
      "window  1 : kappa  4\n",
      "window  2 : kappa  4\n",
      "window  1 : kappa  4\n",
      "window  2 : galaxies  4\n",
      "window  1 : galaxies  4\n",
      "window  2 : galaxies  4\n",
      "starting angular cross power spectrum  4 ,  4 ... \n",
      "window  1 : kappa  5\n",
      "window  2 : kappa  5\n",
      "window  1 : kappa  5\n",
      "window  2 : galaxies  5\n",
      "window  1 : galaxies  5\n",
      "window  2 : galaxies  5\n",
      "starting angular cross power spectrum  5 ,  5 ... \n",
      "window  1 : kappa  6\n",
      "window  2 : kappa  6\n",
      "window  1 : kappa  6\n",
      "window  2 : galaxies  6\n",
      "window  1 : galaxies  6\n",
      "window  2 : galaxies  6\n",
      "starting angular cross power spectrum  6 ,  6 ... \n",
      "window  1 : kappa  7\n",
      "window  2 : kappa  7\n",
      "window  1 : kappa  7\n",
      "window  2 : galaxies  7\n",
      "window  1 : galaxies  7\n",
      "window  2 : galaxies  7\n",
      "starting angular cross power spectrum  7 ,  7 ... \n",
      "window  1 : kappa  8\n",
      "window  2 : kappa  8\n",
      "window  1 : kappa  8\n",
      "window  2 : galaxies  8\n",
      "window  1 : galaxies  8\n",
      "window  2 : galaxies  8\n",
      "starting angular cross power spectrum  8 ,  8 ... \n",
      "window  1 : kappa  9\n",
      "window  2 : kappa  9\n",
      "window  1 : kappa  9\n",
      "window  2 : galaxies  9\n",
      "window  1 : galaxies  9\n",
      "window  2 : galaxies  9\n",
      "starting angular cross power spectrum  9 ,  9 ... \n",
      "window  1 : kappa  10\n",
      "window  2 : kappa  10\n",
      "window  1 : kappa  10\n",
      "window  2 : galaxies  10\n",
      "window  1 : galaxies  10\n",
      "window  2 : galaxies  10\n",
      "starting angular cross power spectrum  10 ,  10 ... \n",
      "window  1 : kappa  11\n",
      "window  2 : kappa  11\n",
      "window  1 : kappa  11\n",
      "window  2 : galaxies  11\n",
      "window  1 : galaxies  11\n",
      "window  2 : galaxies  11\n",
      "starting angular cross power spectrum  11 ,  11 ... \n",
      "window  1 : kappa  12\n",
      "window  2 : kappa  12\n",
      "window  1 : kappa  12\n",
      "window  2 : galaxies  12\n",
      "window  1 : galaxies  12\n",
      "window  2 : galaxies  12\n",
      "starting angular cross power spectrum  12 ,  12 ... \n",
      "window  1 : kappa  13\n",
      "window  2 : kappa  13\n",
      "window  1 : kappa  13\n",
      "window  2 : galaxies  13\n",
      "window  1 : galaxies  13\n",
      "window  2 : galaxies  13\n",
      "starting angular cross power spectrum  13 ,  13 ... \n",
      "window  1 : kappa  14\n",
      "window  2 : kappa  14\n",
      "window  1 : kappa  14\n",
      "window  2 : galaxies  14\n",
      "window  1 : galaxies  14\n",
      "window  2 : galaxies  14\n",
      "starting angular cross power spectrum  14 ,  14 ... \n",
      "window  1 : kappa  15\n",
      "window  2 : kappa  15\n",
      "window  1 : kappa  15\n",
      "window  2 : galaxies  15\n",
      "window  1 : galaxies  15\n",
      "window  2 : galaxies  15\n",
      "starting angular cross power spectrum  15 ,  15 ... \n",
      "window  1 : kappa  16\n",
      "window  2 : kappa  16\n",
      "window  1 : kappa  16\n",
      "window  2 : galaxies  16\n",
      "window  1 : galaxies  16\n",
      "window  2 : galaxies  16\n",
      "building covariance matrix... \n",
      "starting covariance set  1  of  17 ... \n",
      "starting covariance set  2  of  17 ... \n",
      "starting covariance set  3  of  17 ... \n",
      "starting covariance set  4  of  17 ... \n",
      "starting covariance set  5  of  17 ... \n",
      "starting covariance set  6  of  17 ... \n",
      "starting covariance set  7  of  17 ... \n",
      "starting covariance set  8  of  17 ... \n",
      "starting covariance set  9  of  17 ... \n",
      "starting covariance set  10  of  17 ... \n",
      "starting covariance set  11  of  17 ... \n",
      "starting covariance set  12  of  17 ... \n",
      "starting covariance set  13  of  17 ... \n",
      "starting covariance set  14  of  17 ... \n",
      "starting covariance set  15  of  17 ... \n",
      "starting covariance set  16  of  17 ... \n",
      "starting covariance set  17  of  17 ... \n",
      "inverting covariance matrix... \n",
      "starting creation of C_l derivatives... \n",
      "starting derivative set  1  of  17 ... \n",
      "starting derivative set  2  of  17 ... \n",
      "starting derivative set  3  of  17 ... \n",
      "starting derivative set  4  of  17 ... \n",
      "starting derivative set  5  of  17 ... \n",
      "starting derivative set  6  of  17 ... \n",
      "starting derivative set  7  of  17 ... \n",
      "starting derivative set  8  of  17 ... \n",
      "starting derivative set  9  of  17 ... \n",
      "starting derivative set  10  of  17 ... \n",
      "starting derivative set  11  of  17 ... \n",
      "starting derivative set  12  of  17 ... \n",
      "starting derivative set  13  of  17 ... \n",
      "starting derivative set  14  of  17 ... \n",
      "starting derivative set  15  of  17 ... \n",
      "starting derivative set  16  of  17 ... \n",
      "starting derivative set  17  of  17 ... \n",
      "building Fisher matrix from components...\n",
      "invCov.shape:  (153, 153, 1999) , dClVecs.shape:  (153, 32, 1999)\n",
      "starting bin set  1  of  32\n",
      "starting bin set  2  of  32\n",
      "starting bin set  3  of  32\n",
      "starting bin set  4  of  32\n",
      "starting bin set  5  of  32\n",
      "starting bin set  6  of  32\n",
      "starting bin set  7  of  32\n",
      "starting bin set  8  of  32\n",
      "starting bin set  9  of  32\n",
      "starting bin set  10  of  32\n",
      "starting bin set  11  of  32\n",
      "starting bin set  12  of  32\n",
      "starting bin set  13  of  32\n",
      "starting bin set  14  of  32\n",
      "starting bin set  15  of  32\n",
      "starting bin set  16  of  32\n",
      "starting bin set  17  of  32\n",
      "starting bin set  18  of  32\n",
      "starting bin set  19  of  32\n",
      "starting bin set  20  of  32\n",
      "starting bin set  21  of  32\n",
      "starting bin set  22  of  32\n",
      "starting bin set  23  of  32\n",
      "starting bin set  24  of  32\n",
      "starting bin set  25  of  32\n",
      "starting bin set  26  of  32\n",
      "starting bin set  27  of  32\n",
      "starting bin set  28  of  32\n",
      "starting bin set  29  of  32\n",
      "starting bin set  30  of  32\n",
      "starting bin set  31  of  32\n",
      "starting bin set  32  of  32\n",
      "creation of Fisher Matrix complete!\n",
      "\n",
      "inverting Fij  4  of  4\n",
      "eigenvalues:  [  7.14394482e-08   7.93810652e-08   8.71800159e-08   9.36065100e-08\n",
      "   9.87242665e-08   1.02772434e-07   1.06025721e-07   1.08639101e-07\n",
      "   1.10772824e-07   1.12529129e-07   1.13993445e-07   1.15221202e-07\n",
      "   1.16259707e-07   1.17146396e-07   1.17909751e-07   1.18569559e-07\n",
      "   4.36847546e-06   4.49758952e-06   5.51920115e-06   7.13484603e-06\n",
      "   8.87004301e-06   1.11683963e-05   1.19279425e-05   1.49206843e-05\n",
      "   1.89092370e-05   2.32263261e-05   3.01252022e-05   3.76831009e-05\n",
      "   4.48240443e-05   5.33584452e-05   6.81235965e-05   8.17141432e-05]\n",
      "sigmas:  [ 0.00220831  0.00129553  0.00120516  0.00121863  0.00126703  0.00129945\n",
      "  0.00138858  0.00144085  0.00151044  0.00156605  0.00167219  0.00176078\n",
      "  0.00181515  0.00187682  0.00201238  0.00209845  0.00252254  0.00166417\n",
      "  0.00176985  0.00203169  0.00237239  0.00269893  0.00317897  0.00359906\n",
      "  0.00409128  0.00457016  0.00523861  0.0058905   0.00645333  0.00706775\n",
      "  0.00801198  0.00879939]\n",
      "eigenvalues of all inverses of Fisher matrices:  [  1.01305153e-07   1.15599260e-07   1.45975543e-06   5.79181684e-06\n",
      "   8.84334902e-08   1.04619856e-07   1.13236484e-07   1.17494038e-07\n",
      "   1.64501919e-06   2.81370482e-06   6.95691208e-06   1.55913191e-05\n",
      "   7.81167522e-08   9.07966737e-08   1.00817071e-07   1.07351100e-07\n",
      "   1.11656011e-07   1.14610644e-07   1.16703892e-07   1.18240407e-07\n",
      "   2.59949117e-06   3.25903570e-06   4.07884242e-06   6.78106339e-06\n",
      "   1.06092478e-05   1.69991249e-05   2.46617460e-05   3.75689197e-05\n",
      "   7.14394482e-08   7.93810652e-08   8.71800159e-08   9.36065100e-08\n",
      "   9.87242665e-08   1.02772434e-07   1.06025721e-07   1.08639101e-07\n",
      "   1.10772824e-07   1.12529129e-07   1.13993445e-07   1.15221202e-07\n",
      "   1.16259707e-07   1.17146396e-07   1.17909751e-07   1.18569559e-07\n",
      "   4.36847546e-06   4.49758952e-06   5.51920115e-06   7.13484603e-06\n",
      "   8.87004301e-06   1.11683963e-05   1.19279425e-05   1.49206843e-05\n",
      "   1.89092370e-05   2.32263261e-05   3.01252022e-05   3.76831009e-05\n",
      "   4.48240443e-05   5.33584452e-05   6.81235965e-05   8.17141432e-05]\n"
     ]
    },
    {
     "data": {
      "image/png": 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5bNgwvt6lS9jhiIgkpV9v2MAP+/ShXUpK2KHEhBJ5EZE4qnLnZ2vX8rdt23hz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\niAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11995c610>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 2. with doNorm = False, useWk = True in winGalaxies\n",
    "reload(fcl.cp)\n",
    "eigs2,fidAs2,fidBs2,sigmasA2,sigmasB2 = fcl.plotSigmasByNBins(zmax=4,doNorm=False,useWk=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 182,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# cool, they look the same."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 183,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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PGedExUidv6Vqn2TorgoYyE0BtnL++X6SajHnLyJFwJ3AacAaoExEnlLV8gab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\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x119527ed0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# what dNdz was used on those? Plot with 8 bins.\n",
    "z0 = 1.5\n",
    "zmax = 4\n",
    "nBins = 8\n",
    "#zs = np.linspace(0,zmax)\n",
    "#bs = cp.modelDNDZ(zs,z0)\n",
    "#plt.plot(zs,bs);\n",
    "cp.plotModelDNDZbins(z0=z0,zmax=zmax,nBins=nBins)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# get larger bins, and also use NoAs=True"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 184,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      " starting Fisher Matrix  1  of  4 , with nBins= 2\n",
      "creating matter power spectrum object...\n",
      "zs.size:  998\n",
      "fiducial bs:  [  4.78025587  44.31489311]\n",
      "fiducial As:  [ 1.00150854  1.00111228]\n",
      "starting cross power with entire kappa... \n",
      "starting angular cross power spectrum  0 ,  0 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : kappa  0\n",
      "starting angular cross power spectrum  0 ,  1 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  1\n",
      "starting angular cross power spectrum  0 ,  2 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  2\n",
      "starting angular cross power spectrum  1 ,  1 ... \n",
      "window  1 : galaxies  1\n",
      "window  2 : galaxies  1\n",
      "starting angular cross power spectrum  1 ,  2 ... \n",
      "starting angular cross power spectrum  2 ,  2 ... \n",
      "window  1 : galaxies  2\n",
      "window  2 : galaxies  2\n",
      "starting cross power with binned kappa... \n",
      "starting angular cross power spectrum  0 ,  0 ... \n",
      "window  1 : kappa  1\n",
      "window  2 : kappa  1\n",
      "window  1 : kappa  1\n",
      "window  2 : galaxies  1\n",
      "window  1 : galaxies  1\n",
      "window  2 : galaxies  1\n",
      "starting angular cross power spectrum  1 ,  1 ... \n",
      "window  1 : kappa  2\n",
      "window  2 : kappa  2\n",
      "window  1 : kappa  2\n",
      "window  2 : galaxies  2\n",
      "window  1 : galaxies  2\n",
      "window  2 : galaxies  2\n",
      "building covariance matrix... \n",
      "starting covariance set  1  of  3 ... \n",
      "starting covariance set  2  of  3 ... \n",
      "starting covariance set  3  of  3 ... \n",
      "inverting covariance matrix... \n",
      "starting creation of C_l derivatives... \n",
      "starting derivative set  1  of  3 ... \n",
      "starting derivative set  2  of  3 ... \n",
      "starting derivative set  3  of  3 ... \n",
      "building Fisher matrix from components...\n",
      "invCov.shape:  (6, 6, 1999) , dClVecs.shape:  (6, 4, 1999)\n",
      "starting bin set  1  of  4\n",
      "starting bin set  2  of  4\n",
      "starting bin set  3  of  4\n",
      "starting bin set  4  of  4\n",
      "creation of Fisher Matrix complete!\n",
      "\n",
      "inverting Fij  1  of  4\n",
      "eigenvalues:  [  2.52616636e-06   2.44099259e-04   1.00000000e+00   1.00000000e+00]\n",
      "sigmas:  [ 1.          1.          0.00158939  0.01562368]\n",
      "\n",
      " starting Fisher Matrix  2  of  4 , with nBins= 4\n",
      "creating matter power spectrum object...\n",
      "zs.size:  998\n",
      "fiducial bs:  [  4.77984912  23.39989002  44.3250509   65.29992673]\n",
      "fiducial As:  [ 1.00158966  1.0011456   1.00107516  1.00104648]\n",
      "starting cross power with entire kappa... \n",
      "starting angular cross power spectrum  0 ,  0 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : kappa  0\n",
      "starting angular cross power spectrum  0 ,  1 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  1\n",
      "starting angular cross power spectrum  0 ,  2 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  2\n",
      "starting angular cross power spectrum  0 ,  3 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  3\n",
      "starting angular cross power spectrum  0 ,  4 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  4\n",
      "starting angular cross power spectrum  1 ,  1 ... \n",
      "window  1 : galaxies  1\n",
      "window  2 : galaxies  1\n",
      "starting angular cross power spectrum  1 ,  2 ... \n",
      "starting angular cross power spectrum  1 ,  3 ... \n",
      "starting angular cross power spectrum  1 ,  4 ... \n",
      "starting angular cross power spectrum  2 ,  2 ... \n",
      "window  1 : galaxies  2\n",
      "window  2 : galaxies  2\n",
      "starting angular cross power spectrum  2 ,  3 ... \n",
      "starting angular cross power spectrum  2 ,  4 ... \n",
      "starting angular cross power spectrum  3 ,  3 ... \n",
      "window  1 : galaxies  3\n",
      "window  2 : galaxies  3\n",
      "starting angular cross power spectrum  3 ,  4 ... \n",
      "starting angular cross power spectrum  4 ,  4 ... \n",
      "window  1 : galaxies  4\n",
      "window  2 : galaxies  4\n",
      "starting cross power with binned kappa... \n",
      "starting angular cross power spectrum  0 ,  0 ... \n",
      "window  1 : kappa  1\n",
      "window  2 : kappa  1\n",
      "window  1 : kappa  1\n",
      "window  2 : galaxies  1\n",
      "window  1 : galaxies  1\n",
      "window  2 : galaxies  1\n",
      "starting angular cross power spectrum  1 ,  1 ... \n",
      "window  1 : kappa  2\n",
      "window  2 : kappa  2\n",
      "window  1 : kappa  2\n",
      "window  2 : galaxies  2\n",
      "window  1 : galaxies  2\n",
      "window  2 : galaxies  2\n",
      "starting angular cross power spectrum  2 ,  2 ... \n",
      "window  1 : kappa  3\n",
      "window  2 : kappa  3\n",
      "window  1 : kappa  3\n",
      "window  2 : galaxies  3\n",
      "window  1 : galaxies  3\n",
      "window  2 : galaxies  3\n",
      "starting angular cross power spectrum  3 ,  3 ... \n",
      "window  1 : kappa  4\n",
      "window  2 : kappa  4\n",
      "window  1 : kappa  4\n",
      "window  2 : galaxies  4\n",
      "window  1 : galaxies  4\n",
      "window  2 : galaxies  4\n",
      "building covariance matrix... \n",
      "starting covariance set  1  of  5 ... \n",
      "starting covariance set  2  of  5 ... \n",
      "starting covariance set  3  of  5 ... \n",
      "starting covariance set  4  of  5 ... \n",
      "starting covariance set  5  of  5 ... \n",
      "inverting covariance matrix... \n",
      "starting creation of C_l derivatives... \n",
      "starting derivative set  1  of  5 ... \n",
      "starting derivative set  2  of  5 ... \n",
      "starting derivative set  3  of  5 ... \n",
      "starting derivative set  4  of  5 ... \n",
      "starting derivative set  5  of  5 ... \n",
      "building Fisher matrix from components...\n",
      "invCov.shape:  (15, 15, 1999) , dClVecs.shape:  (15, 8, 1999)\n",
      "starting bin set  1  of  8\n",
      "starting bin set  2  of  8\n",
      "starting bin set  3  of  8\n",
      "starting bin set  4  of  8\n",
      "starting bin set  5  of  8\n",
      "starting bin set  6  of  8\n",
      "starting bin set  7  of  8\n",
      "starting bin set  8  of  8\n",
      "creation of Fisher Matrix complete!\n",
      "\n",
      "inverting Fij  2  of  4\n",
      "eigenvalues:  [  2.27422682e-06   6.72303358e-05   2.44277604e-04   5.31582542e-04\n",
      "   1.00000000e+00   1.00000000e+00   1.00000000e+00   1.00000000e+00]\n",
      "sigmas:  [ 1.          1.          1.          1.          0.00150805  0.00819941\n",
      "  0.01562938  0.02305607]\n",
      "\n",
      " starting Fisher Matrix  3  of  4 , with nBins= 8\n",
      "creating matter power spectrum object...\n",
      "zs.size:  998\n",
      "fiducial bs:  [  4.69196618  13.04175196  23.39973432  33.85103354  44.32650791\n",
      "  54.81175302  65.30190638  75.79487167]\n",
      "fiducial As:  [ 1.00167529  1.00117334  1.00109367  1.00106157  1.00104441  1.00103379\n",
      "  1.00102658  1.0010214 ]\n",
      "starting cross power with entire kappa... \n",
      "starting angular cross power spectrum  0 ,  0 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : kappa  0\n",
      "starting angular cross power spectrum  0 ,  1 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  1\n",
      "starting angular cross power spectrum  0 ,  2 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  2\n",
      "starting angular cross power spectrum  0 ,  3 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  3\n",
      "starting angular cross power spectrum  0 ,  4 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  4\n",
      "starting angular cross power spectrum  0 ,  5 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  5\n",
      "starting angular cross power spectrum  0 ,  6 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  6\n",
      "starting angular cross power spectrum  0 ,  7 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  7\n",
      "starting angular cross power spectrum  0 ,  8 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  8\n",
      "starting angular cross power spectrum  1 ,  1 ... \n",
      "window  1 : galaxies  1\n",
      "window  2 : galaxies  1\n",
      "starting angular cross power spectrum  1 ,  2 ... \n",
      "starting angular cross power spectrum  1 ,  3 ... \n",
      "starting angular cross power spectrum  1 ,  4 ... \n",
      "starting angular cross power spectrum  1 ,  5 ... \n",
      "starting angular cross power spectrum  1 ,  6 ... \n",
      "starting angular cross power spectrum  1 ,  7 ... \n",
      "starting angular cross power spectrum  1 ,  8 ... \n",
      "starting angular cross power spectrum  2 ,  2 ... \n",
      "window  1 : galaxies  2\n",
      "window  2 : galaxies  2\n",
      "starting angular cross power spectrum  2 ,  3 ... \n",
      "starting angular cross power spectrum  2 ,  4 ... \n",
      "starting angular cross power spectrum  2 ,  5 ... \n",
      "starting angular cross power spectrum  2 ,  6 ... \n",
      "starting angular cross power spectrum  2 ,  7 ... \n",
      "starting angular cross power spectrum  2 ,  8 ... \n",
      "starting angular cross power spectrum  3 ,  3 ... \n",
      "window  1 : galaxies  3\n",
      "window  2 : galaxies  3\n",
      "starting angular cross power spectrum  3 ,  4 ... \n",
      "starting angular cross power spectrum  3 ,  5 ... \n",
      "starting angular cross power spectrum  3 ,  6 ... \n",
      "starting angular cross power spectrum  3 ,  7 ... \n",
      "starting angular cross power spectrum  3 ,  8 ... \n",
      "starting angular cross power spectrum  4 ,  4 ... \n",
      "window  1 : galaxies  4\n",
      "window  2 : galaxies  4\n",
      "starting angular cross power spectrum  4 ,  5 ... \n",
      "starting angular cross power spectrum  4 ,  6 ... \n",
      "starting angular cross power spectrum  4 ,  7 ... \n",
      "starting angular cross power spectrum  4 ,  8 ... \n",
      "starting angular cross power spectrum  5 ,  5 ... \n",
      "window  1 : galaxies  5\n",
      "window  2 : galaxies  5\n",
      "starting angular cross power spectrum  5 ,  6 ... \n",
      "starting angular cross power spectrum  5 ,  7 ... \n",
      "starting angular cross power spectrum  5 ,  8 ... \n",
      "starting angular cross power spectrum  6 ,  6 ... \n",
      "window  1 : galaxies  6\n",
      "window  2 : galaxies  6\n",
      "starting angular cross power spectrum  6 ,  7 ... \n",
      "starting angular cross power spectrum  6 ,  8 ... \n",
      "starting angular cross power spectrum  7 ,  7 ... \n",
      "window  1 : galaxies  7\n",
      "window  2 : galaxies  7\n",
      "starting angular cross power spectrum  7 ,  8 ... \n",
      "starting angular cross power spectrum  8 ,  8 ... \n",
      "window  1 : galaxies  8\n",
      "window  2 : galaxies  8\n",
      "starting cross power with binned kappa... \n",
      "starting angular cross power spectrum  0 ,  0 ... \n",
      "window  1 : kappa  1\n",
      "window  2 : kappa  1\n",
      "window  1 : kappa  1\n",
      "window  2 : galaxies  1\n",
      "window  1 : galaxies  1\n",
      "window  2 : galaxies  1\n",
      "starting angular cross power spectrum  1 ,  1 ... \n",
      "window  1 : kappa  2\n",
      "window  2 : kappa  2\n",
      "window  1 : kappa  2\n",
      "window  2 : galaxies  2\n",
      "window  1 : galaxies  2\n",
      "window  2 : galaxies  2\n",
      "starting angular cross power spectrum  2 ,  2 ... \n",
      "window  1 : kappa  3\n",
      "window  2 : kappa  3\n",
      "window  1 : kappa  3\n",
      "window  2 : galaxies  3\n",
      "window  1 : galaxies  3\n",
      "window  2 : galaxies  3\n",
      "starting angular cross power spectrum  3 ,  3 ... \n",
      "window  1 : kappa  4\n",
      "window  2 : kappa  4\n",
      "window  1 : kappa  4\n",
      "window  2 : galaxies  4\n",
      "window  1 : galaxies  4\n",
      "window  2 : galaxies  4\n",
      "starting angular cross power spectrum  4 ,  4 ... \n",
      "window  1 : kappa  5\n",
      "window  2 : kappa  5\n",
      "window  1 : kappa  5\n",
      "window  2 : galaxies  5\n",
      "window  1 : galaxies  5\n",
      "window  2 : galaxies  5\n",
      "starting angular cross power spectrum  5 ,  5 ... \n",
      "window  1 : kappa  6\n",
      "window  2 : kappa  6\n",
      "window  1 : kappa  6\n",
      "window  2 : galaxies  6\n",
      "window  1 : galaxies  6\n",
      "window  2 : galaxies  6\n",
      "starting angular cross power spectrum  6 ,  6 ... \n",
      "window  1 : kappa  7\n",
      "window  2 : kappa  7\n",
      "window  1 : kappa  7\n",
      "window  2 : galaxies  7\n",
      "window  1 : galaxies  7\n",
      "window  2 : galaxies  7\n",
      "starting angular cross power spectrum  7 ,  7 ... \n",
      "window  1 : kappa  8\n",
      "window  2 : kappa  8\n",
      "window  1 : kappa  8\n",
      "window  2 : galaxies  8\n",
      "window  1 : galaxies  8\n",
      "window  2 : galaxies  8\n",
      "building covariance matrix... \n",
      "starting covariance set  1  of  9 ... \n",
      "starting covariance set  2  of  9 ... \n",
      "starting covariance set  3  of  9 ... \n",
      "starting covariance set  4  of  9 ... \n",
      "starting covariance set  5  of  9 ... \n",
      "starting covariance set  6  of  9 ... \n",
      "starting covariance set  7  of  9 ... \n",
      "starting covariance set  8  of  9 ... \n",
      "starting covariance set  9  of  9 ... \n",
      "inverting covariance matrix... \n",
      "starting creation of C_l derivatives... \n",
      "starting derivative set  1  of  9 ... \n",
      "starting derivative set  2  of  9 ... \n",
      "starting derivative set  3  of  9 ... \n",
      "starting derivative set  4  of  9 ... \n",
      "starting derivative set  5  of  9 ... \n",
      "starting derivative set  6  of  9 ... \n",
      "starting derivative set  7  of  9 ... \n",
      "starting derivative set  8  of  9 ... \n",
      "starting derivative set  9  of  9 ... \n",
      "building Fisher matrix from components...\n",
      "invCov.shape:  (45, 45, 1999) , dClVecs.shape:  (45, 16, 1999)\n",
      "starting bin set  1  of  16\n",
      "starting bin set  2  of  16\n",
      "starting bin set  3  of  16\n",
      "starting bin set  4  of  16\n",
      "starting bin set  5  of  16\n",
      "starting bin set  6  of  16\n",
      "starting bin set  7  of  16\n",
      "starting bin set  8  of  16\n",
      "starting bin set  9  of  16\n",
      "starting bin set  10  of  16\n",
      "starting bin set  11  of  16\n",
      "starting bin set  12  of  16\n",
      "starting bin set  13  of  16\n",
      "starting bin set  14  of  16\n",
      "starting bin set  15  of  16\n",
      "starting bin set  16  of  16\n",
      "creation of Fisher Matrix complete!\n",
      "\n",
      "inverting Fij  3  of  4\n",
      "eigenvalues:  [  1.81794889e-06   1.99899778e-05   6.71563987e-05   1.42002530e-04\n",
      "   2.44409720e-04   3.74236488e-04   5.31767507e-04   7.16649971e-04\n",
      "   1.00000000e+00   1.00000000e+00   1.00000000e+00   1.00000000e+00\n",
      "   1.00000000e+00   1.00000000e+00   1.00000000e+00   1.00000000e+00]\n",
      "sigmas:  [ 1.          1.          1.          1.          1.          1.          1.\n",
      "  1.          0.00134831  0.00447102  0.0081949   0.01191648  0.01563361\n",
      "  0.01934519  0.02306008  0.02677032]\n",
      "\n",
      " starting Fisher Matrix  4  of  4 , with nBins= 16\n",
      "creating matter power spectrum object...\n",
      "zs.size:  998\n",
      "fiducial bs:  [  3.88384657   7.8120204   12.88322643  18.06748765  23.28365343\n",
      "  28.51314436  33.74944747  38.9896962   44.23243343  49.47684048\n",
      "  54.72242215  59.96886135  65.21594565  70.46352743  75.7115009\n",
      "  80.95978827]\n",
      "fiducial As:  [ 1.00177357  1.00120137  1.00110999  1.00107363  1.00105431  1.00104242\n",
      "  1.0010344   1.00102864  1.00102432  1.00102096  1.00101827  1.00101609\n",
      "  1.00101427  1.00101273  1.00101142  1.00101029]\n",
      "starting cross power with entire kappa... \n",
      "starting angular cross power spectrum  0 ,  0 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : kappa  0\n",
      "starting angular cross power spectrum  0 ,  1 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  1\n",
      "starting angular cross power spectrum  0 ,  2 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  2\n",
      "starting angular cross power spectrum  0 ,  3 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  3\n",
      "starting angular cross power spectrum  0 ,  4 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  4\n",
      "starting angular cross power spectrum  0 ,  5 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  5\n",
      "starting angular cross power spectrum  0 ,  6 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  6\n",
      "starting angular cross power spectrum  0 ,  7 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  7\n",
      "starting angular cross power spectrum  0 ,  8 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  8\n",
      "starting angular cross power spectrum  0 ,  9 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  9\n",
      "starting angular cross power spectrum  0 ,  10 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  10\n",
      "starting angular cross power spectrum  0 ,  11 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  11\n",
      "starting angular cross power spectrum  0 ,  12 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  12\n",
      "starting angular cross power spectrum  0 ,  13 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  13\n",
      "starting angular cross power spectrum  0 ,  14 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  14\n",
      "starting angular cross power spectrum  0 ,  15 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  15\n",
      "starting angular cross power spectrum  0 ,  16 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  16\n",
      "starting angular cross power spectrum  1 ,  1 ... \n",
      "window  1 : galaxies  1\n",
      "window  2 : galaxies  1\n",
      "starting angular cross power spectrum  1 ,  2 ... \n",
      "starting angular cross power spectrum  1 ,  3 ... \n",
      "starting angular cross power spectrum  1 ,  4 ... \n",
      "starting angular cross power spectrum  1 ,  5 ... \n",
      "starting angular cross power spectrum  1 ,  6 ... \n",
      "starting angular cross power spectrum  1 ,  7 ... \n",
      "starting angular cross power spectrum  1 ,  8 ... \n",
      "starting angular cross power spectrum  1 ,  9 ... \n",
      "starting angular cross power spectrum  1 ,  10 ... \n",
      "starting angular cross power spectrum  1 ,  11 ... \n",
      "starting angular cross power spectrum  1 ,  12 ... \n",
      "starting angular cross power spectrum  1 ,  13 ... \n",
      "starting angular cross power spectrum  1 ,  14 ... \n",
      "starting angular cross power spectrum  1 ,  15 ... \n",
      "starting angular cross power spectrum  1 ,  16 ... \n",
      "starting angular cross power spectrum  2 ,  2 ... \n",
      "window  1 : galaxies  2\n",
      "window  2 : galaxies  2\n",
      "starting angular cross power spectrum  2 ,  3 ... \n",
      "starting angular cross power spectrum  2 ,  4 ... \n",
      "starting angular cross power spectrum  2 ,  5 ... \n",
      "starting angular cross power spectrum  2 ,  6 ... \n",
      "starting angular cross power spectrum  2 ,  7 ... \n",
      "starting angular cross power spectrum  2 ,  8 ... \n",
      "starting angular cross power spectrum  2 ,  9 ... \n",
      "starting angular cross power spectrum  2 ,  10 ... \n",
      "starting angular cross power spectrum  2 ,  11 ... \n",
      "starting angular cross power spectrum  2 ,  12 ... \n",
      "starting angular cross power spectrum  2 ,  13 ... \n",
      "starting angular cross power spectrum  2 ,  14 ... \n",
      "starting angular cross power spectrum  2 ,  15 ... \n",
      "starting angular cross power spectrum  2 ,  16 ... \n",
      "starting angular cross power spectrum  3 ,  3 ... \n",
      "window  1 : galaxies  3\n",
      "window  2 : galaxies  3\n",
      "starting angular cross power spectrum  3 ,  4 ... \n",
      "starting angular cross power spectrum  3 ,  5 ... \n",
      "starting angular cross power spectrum  3 ,  6 ... \n",
      "starting angular cross power spectrum  3 ,  7 ... \n",
      "starting angular cross power spectrum  3 ,  8 ... \n",
      "starting angular cross power spectrum  3 ,  9 ... \n",
      "starting angular cross power spectrum  3 ,  10 ... \n",
      "starting angular cross power spectrum  3 ,  11 ... \n",
      "starting angular cross power spectrum  3 ,  12 ... \n",
      "starting angular cross power spectrum  3 ,  13 ... \n",
      "starting angular cross power spectrum  3 ,  14 ... \n",
      "starting angular cross power spectrum  3 ,  15 ... \n",
      "starting angular cross power spectrum  3 ,  16 ... \n",
      "starting angular cross power spectrum  4 ,  4 ... \n",
      "window  1 : galaxies  4\n",
      "window  2 : galaxies  4\n",
      "starting angular cross power spectrum  4 ,  5 ... \n",
      "starting angular cross power spectrum  4 ,  6 ... \n",
      "starting angular cross power spectrum  4 ,  7 ... \n",
      "starting angular cross power spectrum  4 ,  8 ... \n",
      "starting angular cross power spectrum  4 ,  9 ... \n",
      "starting angular cross power spectrum  4 ,  10 ... \n",
      "starting angular cross power spectrum  4 ,  11 ... \n",
      "starting angular cross power spectrum  4 ,  12 ... \n",
      "starting angular cross power spectrum  4 ,  13 ... \n",
      "starting angular cross power spectrum  4 ,  14 ... \n",
      "starting angular cross power spectrum  4 ,  15 ... \n",
      "starting angular cross power spectrum  4 ,  16 ... \n",
      "starting angular cross power spectrum  5 ,  5 ... \n",
      "window  1 : galaxies  5\n",
      "window  2 : galaxies  5\n",
      "starting angular cross power spectrum  5 ,  6 ... \n",
      "starting angular cross power spectrum  5 ,  7 ... \n",
      "starting angular cross power spectrum  5 ,  8 ... \n",
      "starting angular cross power spectrum  5 ,  9 ... \n",
      "starting angular cross power spectrum  5 ,  10 ... \n",
      "starting angular cross power spectrum  5 ,  11 ... \n",
      "starting angular cross power spectrum  5 ,  12 ... \n",
      "starting angular cross power spectrum  5 ,  13 ... \n",
      "starting angular cross power spectrum  5 ,  14 ... \n",
      "starting angular cross power spectrum  5 ,  15 ... \n",
      "starting angular cross power spectrum  5 ,  16 ... \n",
      "starting angular cross power spectrum  6 ,  6 ... \n",
      "window  1 : galaxies  6\n",
      "window  2 : galaxies  6\n",
      "starting angular cross power spectrum  6 ,  7 ... \n",
      "starting angular cross power spectrum  6 ,  8 ... \n",
      "starting angular cross power spectrum  6 ,  9 ... \n",
      "starting angular cross power spectrum  6 ,  10 ... \n",
      "starting angular cross power spectrum  6 ,  11 ... \n",
      "starting angular cross power spectrum  6 ,  12 ... \n",
      "starting angular cross power spectrum  6 ,  13 ... \n",
      "starting angular cross power spectrum  6 ,  14 ... \n",
      "starting angular cross power spectrum  6 ,  15 ... \n",
      "starting angular cross power spectrum  6 ,  16 ... \n",
      "starting angular cross power spectrum  7 ,  7 ... \n",
      "window  1 : galaxies  7\n",
      "window  2 : galaxies  7\n",
      "starting angular cross power spectrum  7 ,  8 ... \n",
      "starting angular cross power spectrum  7 ,  9 ... \n",
      "starting angular cross power spectrum  7 ,  10 ... \n",
      "starting angular cross power spectrum  7 ,  11 ... \n",
      "starting angular cross power spectrum  7 ,  12 ... \n",
      "starting angular cross power spectrum  7 ,  13 ... \n",
      "starting angular cross power spectrum  7 ,  14 ... \n",
      "starting angular cross power spectrum  7 ,  15 ... \n",
      "starting angular cross power spectrum  7 ,  16 ... \n",
      "starting angular cross power spectrum  8 ,  8 ... \n",
      "window  1 : galaxies  8\n",
      "window  2 : galaxies  8\n",
      "starting angular cross power spectrum  8 ,  9 ... \n",
      "starting angular cross power spectrum  8 ,  10 ... \n",
      "starting angular cross power spectrum  8 ,  11 ... \n",
      "starting angular cross power spectrum  8 ,  12 ... \n",
      "starting angular cross power spectrum  8 ,  13 ... \n",
      "starting angular cross power spectrum  8 ,  14 ... \n",
      "starting angular cross power spectrum  8 ,  15 ... \n",
      "starting angular cross power spectrum  8 ,  16 ... \n",
      "starting angular cross power spectrum  9 ,  9 ... \n",
      "window  1 : galaxies  9\n",
      "window  2 : galaxies  9\n",
      "starting angular cross power spectrum  9 ,  10 ... \n",
      "starting angular cross power spectrum  9 ,  11 ... \n",
      "starting angular cross power spectrum  9 ,  12 ... \n",
      "starting angular cross power spectrum  9 ,  13 ... \n",
      "starting angular cross power spectrum  9 ,  14 ... \n",
      "starting angular cross power spectrum  9 ,  15 ... \n",
      "starting angular cross power spectrum  9 ,  16 ... \n",
      "starting angular cross power spectrum  10 ,  10 ... \n",
      "window  1 : galaxies  10\n",
      "window  2 : galaxies  10\n",
      "starting angular cross power spectrum  10 ,  11 ... \n",
      "starting angular cross power spectrum  10 ,  12 ... \n",
      "starting angular cross power spectrum  10 ,  13 ... \n",
      "starting angular cross power spectrum  10 ,  14 ... \n",
      "starting angular cross power spectrum  10 ,  15 ... \n",
      "starting angular cross power spectrum  10 ,  16 ... \n",
      "starting angular cross power spectrum  11 ,  11 ... \n",
      "window  1 : galaxies  11\n",
      "window  2 : galaxies  11\n",
      "starting angular cross power spectrum  11 ,  12 ... \n",
      "starting angular cross power spectrum  11 ,  13 ... \n",
      "starting angular cross power spectrum  11 ,  14 ... \n",
      "starting angular cross power spectrum  11 ,  15 ... \n",
      "starting angular cross power spectrum  11 ,  16 ... \n",
      "starting angular cross power spectrum  12 ,  12 ... \n",
      "window  1 : galaxies  12\n",
      "window  2 : galaxies  12\n",
      "starting angular cross power spectrum  12 ,  13 ... \n",
      "starting angular cross power spectrum  12 ,  14 ... \n",
      "starting angular cross power spectrum  12 ,  15 ... \n",
      "starting angular cross power spectrum  12 ,  16 ... \n",
      "starting angular cross power spectrum  13 ,  13 ... \n",
      "window  1 : galaxies  13\n",
      "window  2 : galaxies  13\n",
      "starting angular cross power spectrum  13 ,  14 ... \n",
      "starting angular cross power spectrum  13 ,  15 ... \n",
      "starting angular cross power spectrum  13 ,  16 ... \n",
      "starting angular cross power spectrum  14 ,  14 ... \n",
      "window  1 : galaxies  14\n",
      "window  2 : galaxies  14\n",
      "starting angular cross power spectrum  14 ,  15 ... \n",
      "starting angular cross power spectrum  14 ,  16 ... \n",
      "starting angular cross power spectrum  15 ,  15 ... \n",
      "window  1 : galaxies  15\n",
      "window  2 : galaxies  15\n",
      "starting angular cross power spectrum  15 ,  16 ... \n",
      "starting angular cross power spectrum  16 ,  16 ... \n",
      "window  1 : galaxies  16\n",
      "window  2 : galaxies  16\n",
      "starting cross power with binned kappa... \n",
      "starting angular cross power spectrum  0 ,  0 ... \n",
      "window  1 : kappa  1\n",
      "window  2 : kappa  1\n",
      "window  1 : kappa  1\n",
      "window  2 : galaxies  1\n",
      "window  1 : galaxies  1\n",
      "window  2 : galaxies  1\n",
      "starting angular cross power spectrum  1 ,  1 ... \n",
      "window  1 : kappa  2\n",
      "window  2 : kappa  2\n",
      "window  1 : kappa  2\n",
      "window  2 : galaxies  2\n",
      "window  1 : galaxies  2\n",
      "window  2 : galaxies  2\n",
      "starting angular cross power spectrum  2 ,  2 ... \n",
      "window  1 : kappa  3\n",
      "window  2 : kappa  3\n",
      "window  1 : kappa  3\n",
      "window  2 : galaxies  3\n",
      "window  1 : galaxies  3\n",
      "window  2 : galaxies  3\n",
      "starting angular cross power spectrum  3 ,  3 ... \n",
      "window  1 : kappa  4\n",
      "window  2 : kappa  4\n",
      "window  1 : kappa  4\n",
      "window  2 : galaxies  4\n",
      "window  1 : galaxies  4\n",
      "window  2 : galaxies  4\n",
      "starting angular cross power spectrum  4 ,  4 ... \n",
      "window  1 : kappa  5\n",
      "window  2 : kappa  5\n",
      "window  1 : kappa  5\n",
      "window  2 : galaxies  5\n",
      "window  1 : galaxies  5\n",
      "window  2 : galaxies  5\n",
      "starting angular cross power spectrum  5 ,  5 ... \n",
      "window  1 : kappa  6\n",
      "window  2 : kappa  6\n",
      "window  1 : kappa  6\n",
      "window  2 : galaxies  6\n",
      "window  1 : galaxies  6\n",
      "window  2 : galaxies  6\n",
      "starting angular cross power spectrum  6 ,  6 ... \n",
      "window  1 : kappa  7\n",
      "window  2 : kappa  7\n",
      "window  1 : kappa  7\n",
      "window  2 : galaxies  7\n",
      "window  1 : galaxies  7\n",
      "window  2 : galaxies  7\n",
      "starting angular cross power spectrum  7 ,  7 ... \n",
      "window  1 : kappa  8\n",
      "window  2 : kappa  8\n",
      "window  1 : kappa  8\n",
      "window  2 : galaxies  8\n",
      "window  1 : galaxies  8\n",
      "window  2 : galaxies  8\n",
      "starting angular cross power spectrum  8 ,  8 ... \n",
      "window  1 : kappa  9\n",
      "window  2 : kappa  9\n",
      "window  1 : kappa  9\n",
      "window  2 : galaxies  9\n",
      "window  1 : galaxies  9\n",
      "window  2 : galaxies  9\n",
      "starting angular cross power spectrum  9 ,  9 ... \n",
      "window  1 : kappa  10\n",
      "window  2 : kappa  10\n",
      "window  1 : kappa  10\n",
      "window  2 : galaxies  10\n",
      "window  1 : galaxies  10\n",
      "window  2 : galaxies  10\n",
      "starting angular cross power spectrum  10 ,  10 ... \n",
      "window  1 : kappa  11\n",
      "window  2 : kappa  11\n",
      "window  1 : kappa  11\n",
      "window  2 : galaxies  11\n",
      "window  1 : galaxies  11\n",
      "window  2 : galaxies  11\n",
      "starting angular cross power spectrum  11 ,  11 ... \n",
      "window  1 : kappa  12\n",
      "window  2 : kappa  12\n",
      "window  1 : kappa  12\n",
      "window  2 : galaxies  12\n",
      "window  1 : galaxies  12\n",
      "window  2 : galaxies  12\n",
      "starting angular cross power spectrum  12 ,  12 ... \n",
      "window  1 : kappa  13\n",
      "window  2 : kappa  13\n",
      "window  1 : kappa  13\n",
      "window  2 : galaxies  13\n",
      "window  1 : galaxies  13\n",
      "window  2 : galaxies  13\n",
      "starting angular cross power spectrum  13 ,  13 ... \n",
      "window  1 : kappa  14\n",
      "window  2 : kappa  14\n",
      "window  1 : kappa  14\n",
      "window  2 : galaxies  14\n",
      "window  1 : galaxies  14\n",
      "window  2 : galaxies  14\n",
      "starting angular cross power spectrum  14 ,  14 ... \n",
      "window  1 : kappa  15\n",
      "window  2 : kappa  15\n",
      "window  1 : kappa  15\n",
      "window  2 : galaxies  15\n",
      "window  1 : galaxies  15\n",
      "window  2 : galaxies  15\n",
      "starting angular cross power spectrum  15 ,  15 ... \n",
      "window  1 : kappa  16\n",
      "window  2 : kappa  16\n",
      "window  1 : kappa  16\n",
      "window  2 : galaxies  16\n",
      "window  1 : galaxies  16\n",
      "window  2 : galaxies  16\n",
      "building covariance matrix... \n",
      "starting covariance set  1  of  17 ... \n",
      "starting covariance set  2  of  17 ... \n",
      "starting covariance set  3  of  17 ... \n",
      "starting covariance set  4  of  17 ... \n",
      "starting covariance set  5  of  17 ... \n",
      "starting covariance set  6  of  17 ... \n",
      "starting covariance set  7  of  17 ... \n",
      "starting covariance set  8  of  17 ... \n",
      "starting covariance set  9  of  17 ... \n",
      "starting covariance set  10  of  17 ... \n",
      "starting covariance set  11  of  17 ... \n",
      "starting covariance set  12  of  17 ... \n",
      "starting covariance set  13  of  17 ... \n",
      "starting covariance set  14  of  17 ... \n",
      "starting covariance set  15  of  17 ... \n",
      "starting covariance set  16  of  17 ... \n",
      "starting covariance set  17  of  17 ... \n",
      "inverting covariance matrix... \n",
      "starting creation of C_l derivatives... \n",
      "starting derivative set  1  of  17 ... \n",
      "starting derivative set  2  of  17 ... \n",
      "starting derivative set  3  of  17 ... \n",
      "starting derivative set  4  of  17 ... \n",
      "starting derivative set  5  of  17 ... \n",
      "starting derivative set  6  of  17 ... \n",
      "starting derivative set  7  of  17 ... \n",
      "starting derivative set  8  of  17 ... \n",
      "starting derivative set  9  of  17 ... \n",
      "starting derivative set  10  of  17 ... \n",
      "starting derivative set  11  of  17 ... \n",
      "starting derivative set  12  of  17 ... \n",
      "starting derivative set  13  of  17 ... \n",
      "starting derivative set  14  of  17 ... \n",
      "starting derivative set  15  of  17 ... \n",
      "starting derivative set  16  of  17 ... \n",
      "starting derivative set  17  of  17 ... \n",
      "building Fisher matrix from components...\n",
      "invCov.shape:  (153, 153, 1999) , dClVecs.shape:  (153, 32, 1999)\n",
      "starting bin set  1  of  32\n",
      "starting bin set  2  of  32\n",
      "starting bin set  3  of  32\n",
      "starting bin set  4  of  32\n",
      "starting bin set  5  of  32\n",
      "starting bin set  6  of  32\n",
      "starting bin set  7  of  32\n",
      "starting bin set  8  of  32\n",
      "starting bin set  9  of  32\n",
      "starting bin set  10  of  32\n",
      "starting bin set  11  of  32\n",
      "starting bin set  12  of  32\n",
      "starting bin set  13  of  32\n",
      "starting bin set  14  of  32\n",
      "starting bin set  15  of  32\n",
      "starting bin set  16  of  32\n",
      "starting bin set  17  of  32\n",
      "starting bin set  18  of  32\n",
      "starting bin set  19  of  32\n",
      "starting bin set  20  of  32\n",
      "starting bin set  21  of  32\n",
      "starting bin set  22  of  32\n",
      "starting bin set  23  of  32\n",
      "starting bin set  24  of  32\n",
      "starting bin set  25  of  32\n",
      "starting bin set  26  of  32\n",
      "starting bin set  27  of  32\n",
      "starting bin set  28  of  32\n",
      "starting bin set  29  of  32\n",
      "starting bin set  30  of  32\n",
      "starting bin set  31  of  32\n",
      "starting bin set  32  of  32\n",
      "creation of Fisher Matrix complete!\n",
      "\n",
      "inverting Fij  4  of  4\n",
      "eigenvalues:  [  9.08922449e-07   6.15354026e-06   1.91670626e-05   3.92860483e-05\n",
      "   6.63221171e-05   1.00263735e-04   1.41094381e-04   1.88727804e-04\n",
      "   2.43306211e-04   3.04816820e-04   3.72995132e-04   4.48214563e-04\n",
      "   5.30337820e-04   6.19361614e-04   7.15117511e-04   8.17766385e-04\n",
      "   1.00000000e+00   1.00000000e+00   1.00000000e+00   1.00000000e+00\n",
      "   1.00000000e+00   1.00000000e+00   1.00000000e+00   1.00000000e+00\n",
      "   1.00000000e+00   1.00000000e+00   1.00000000e+00   1.00000000e+00\n",
      "   1.00000000e+00   1.00000000e+00   1.00000000e+00   1.00000000e+00]\n",
      "sigmas:  [  1.00000000e+00   1.00000000e+00   1.00000000e+00   1.00000000e+00\n",
      "   1.00000000e+00   1.00000000e+00   1.00000000e+00   1.00000000e+00\n",
      "   1.00000000e+00   1.00000000e+00   1.00000000e+00   1.00000000e+00\n",
      "   1.00000000e+00   1.00000000e+00   1.00000000e+00   1.00000000e+00\n",
      "   9.53374244e-04   2.48063304e-03   4.37802040e-03   6.26785835e-03\n",
      "   8.14383921e-03   1.00131781e-02   1.18783156e-02   1.37378239e-02\n",
      "   1.55982759e-02   1.74590040e-02   1.93130819e-02   2.11710784e-02\n",
      "   2.30290647e-02   2.48869768e-02   2.67416812e-02   2.85966149e-02]\n",
      "eigenvalues of all inverses of Fisher matrices:  [  2.52616636e-06   2.44099259e-04   1.00000000e+00   1.00000000e+00\n",
      "   2.27422682e-06   6.72303358e-05   2.44277604e-04   5.31582542e-04\n",
      "   1.00000000e+00   1.00000000e+00   1.00000000e+00   1.00000000e+00\n",
      "   1.81794889e-06   1.99899778e-05   6.71563987e-05   1.42002530e-04\n",
      "   2.44409720e-04   3.74236488e-04   5.31767507e-04   7.16649971e-04\n",
      "   1.00000000e+00   1.00000000e+00   1.00000000e+00   1.00000000e+00\n",
      "   1.00000000e+00   1.00000000e+00   1.00000000e+00   1.00000000e+00\n",
      "   9.08922449e-07   6.15354026e-06   1.91670626e-05   3.92860483e-05\n",
      "   6.63221171e-05   1.00263735e-04   1.41094381e-04   1.88727804e-04\n",
      "   2.43306211e-04   3.04816820e-04   3.72995132e-04   4.48214563e-04\n",
      "   5.30337820e-04   6.19361614e-04   7.15117511e-04   8.17766385e-04\n",
      "   1.00000000e+00   1.00000000e+00   1.00000000e+00   1.00000000e+00\n",
      "   1.00000000e+00   1.00000000e+00   1.00000000e+00   1.00000000e+00\n",
      "   1.00000000e+00   1.00000000e+00   1.00000000e+00   1.00000000e+00\n",
      "   1.00000000e+00   1.00000000e+00   1.00000000e+00   1.00000000e+00]\n"
     ]
    },
    {
     "data": {
      "image/png": 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VxXPPPUfv3r0xM5KSknj55Zdz8cpEREREopdzjttXrGDbkSNMad6cokXydyzb8mtbmEgy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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11acc6110>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 3. with doNorm = False, useWk = True in winGalaxies\n",
    "# now with noAs\n",
    "eigs3,fidAs3,fidBs3,sigmasA3,sigmasB3 = fcl.plotSigmasByNBins(zmax=100,noAs=True,doNorm=False,useWk=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 185,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<module 'FisherCl' from 'FisherCl.pyc'>"
      ]
     },
     "execution_count": 185,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Simplify the analysis using the newly implemented noAs=True setting\n",
    "# Continue to use the useWk = True setting to be consistent with analytical results\n",
    "#  This will enable comparison of results with simple analytic model.\n",
    "reload(fcl)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 186,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      " starting Fisher Matrix  1  of  4 , with nBins= 2\n",
      "creating matter power spectrum object...\n",
      "zs.size:  998\n",
      "fiducial bs:  [ 2.17175357  3.52752398]\n",
      "fiducial As:  [ 1.00195471  1.00125928]\n",
      "starting cross power with entire kappa... \n",
      "starting angular cross power spectrum  0 ,  0 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : kappa  0\n",
      "starting angular cross power spectrum  0 ,  1 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  1\n",
      "starting angular cross power spectrum  0 ,  2 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  2\n",
      "starting angular cross power spectrum  1 ,  1 ... \n",
      "window  1 : galaxies  1\n",
      "window  2 : galaxies  1\n",
      "starting angular cross power spectrum  1 ,  2 ... \n",
      "starting angular cross power spectrum  2 ,  2 ... \n",
      "window  1 : galaxies  2\n",
      "window  2 : galaxies  2\n",
      "starting cross power with binned kappa... \n",
      "starting angular cross power spectrum  0 ,  0 ... \n",
      "window  1 : kappa  1\n",
      "window  2 : kappa  1\n",
      "window  1 : kappa  1\n",
      "window  2 : galaxies  1\n",
      "window  1 : galaxies  1\n",
      "window  2 : galaxies  1\n",
      "starting angular cross power spectrum  1 ,  1 ... \n",
      "window  1 : kappa  2\n",
      "window  2 : kappa  2\n",
      "window  1 : kappa  2\n",
      "window  2 : galaxies  2\n",
      "window  1 : galaxies  2\n",
      "window  2 : galaxies  2\n",
      "building covariance matrix... \n",
      "starting covariance set  1  of  3 ... \n",
      "starting covariance set  2  of  3 ... \n",
      "starting covariance set  3  of  3 ... \n",
      "inverting covariance matrix... \n",
      "starting creation of C_l derivatives... \n",
      "starting derivative set  1  of  3 ... \n",
      "starting derivative set  2  of  3 ... \n",
      "starting derivative set  3  of  3 ... \n",
      "building Fisher matrix from components...\n",
      "invCov.shape:  (6, 6, 1999) , dClVecs.shape:  (6, 4, 1999)\n",
      "starting bin set  1  of  4\n",
      "starting bin set  2  of  4\n",
      "starting bin set  3  of  4\n",
      "starting bin set  4  of  4\n",
      "creation of Fisher Matrix complete!\n",
      "\n",
      "inverting Fij  1  of  4\n",
      "eigenvalues:  [  3.95831699e-07   1.20486294e-06   1.00000000e+00   1.00000000e+00]\n",
      "sigmas:  [  1.00000000e+00   1.00000000e+00   6.29151571e-04   1.09766249e-03]\n",
      "\n",
      " starting Fisher Matrix  2  of  4 , with nBins= 4\n",
      "creating matter power spectrum object...\n",
      "zs.size:  998\n",
      "fiducial bs:  [ 1.61216739  2.31005893  3.11294799  3.93722679]\n",
      "fiducial As:  [ 1.00203425  1.00130328  1.00116391  1.00110904]\n",
      "starting cross power with entire kappa... \n",
      "starting angular cross power spectrum  0 ,  0 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : kappa  0\n",
      "starting angular cross power spectrum  0 ,  1 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  1\n",
      "starting angular cross power spectrum  0 ,  2 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  2\n",
      "starting angular cross power spectrum  0 ,  3 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  3\n",
      "starting angular cross power spectrum  0 ,  4 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  4\n",
      "starting angular cross power spectrum  1 ,  1 ... \n",
      "window  1 : galaxies  1\n",
      "window  2 : galaxies  1\n",
      "starting angular cross power spectrum  1 ,  2 ... \n",
      "starting angular cross power spectrum  1 ,  3 ... \n",
      "starting angular cross power spectrum  1 ,  4 ... \n",
      "starting angular cross power spectrum  2 ,  2 ... \n",
      "window  1 : galaxies  2\n",
      "window  2 : galaxies  2\n",
      "starting angular cross power spectrum  2 ,  3 ... \n",
      "starting angular cross power spectrum  2 ,  4 ... \n",
      "starting angular cross power spectrum  3 ,  3 ... \n",
      "window  1 : galaxies  3\n",
      "window  2 : galaxies  3\n",
      "starting angular cross power spectrum  3 ,  4 ... \n",
      "starting angular cross power spectrum  4 ,  4 ... \n",
      "window  1 : galaxies  4\n",
      "window  2 : galaxies  4\n",
      "starting cross power with binned kappa... \n",
      "starting angular cross power spectrum  0 ,  0 ... \n",
      "window  1 : kappa  1\n",
      "window  2 : kappa  1\n",
      "window  1 : kappa  1\n",
      "window  2 : galaxies  1\n",
      "window  1 : galaxies  1\n",
      "window  2 : galaxies  1\n",
      "starting angular cross power spectrum  1 ,  1 ... \n",
      "window  1 : kappa  2\n",
      "window  2 : kappa  2\n",
      "window  1 : kappa  2\n",
      "window  2 : galaxies  2\n",
      "window  1 : galaxies  2\n",
      "window  2 : galaxies  2\n",
      "starting angular cross power spectrum  2 ,  2 ... \n",
      "window  1 : kappa  3\n",
      "window  2 : kappa  3\n",
      "window  1 : kappa  3\n",
      "window  2 : galaxies  3\n",
      "window  1 : galaxies  3\n",
      "window  2 : galaxies  3\n",
      "starting angular cross power spectrum  3 ,  3 ... \n",
      "window  1 : kappa  4\n",
      "window  2 : kappa  4\n",
      "window  1 : kappa  4\n",
      "window  2 : galaxies  4\n",
      "window  1 : galaxies  4\n",
      "window  2 : galaxies  4\n",
      "building covariance matrix... \n",
      "starting covariance set  1  of  5 ... \n",
      "starting covariance set  2  of  5 ... \n",
      "starting covariance set  3  of  5 ... \n",
      "starting covariance set  4  of  5 ... \n",
      "starting covariance set  5  of  5 ... \n",
      "inverting covariance matrix... \n",
      "starting creation of C_l derivatives... \n",
      "starting derivative set  1  of  5 ... \n",
      "starting derivative set  2  of  5 ... \n",
      "starting derivative set  3  of  5 ... \n",
      "starting derivative set  4  of  5 ... \n",
      "starting derivative set  5  of  5 ... \n",
      "building Fisher matrix from components...\n",
      "invCov.shape:  (15, 15, 1999) , dClVecs.shape:  (15, 8, 1999)\n",
      "starting bin set  1  of  8\n",
      "starting bin set  2  of  8\n",
      "starting bin set  3  of  8\n",
      "starting bin set  4  of  8\n",
      "starting bin set  5  of  8\n",
      "starting bin set  6  of  8\n",
      "starting bin set  7  of  8\n",
      "starting bin set  8  of  8\n",
      "creation of Fisher Matrix complete!\n",
      "\n",
      "inverting Fij  2  of  4\n",
      "eigenvalues:  [  2.53856965e-07   5.19398795e-07   1.01501996e-06   1.70968882e-06\n",
      "   1.00000000e+00   1.00000000e+00   1.00000000e+00   1.00000000e+00]\n",
      "sigmas:  [  1.00000000e+00   1.00000000e+00   1.00000000e+00   1.00000000e+00\n",
      "   5.03842202e-04   7.20693274e-04   1.00748199e-03   1.30755070e-03]\n",
      "\n",
      " starting Fisher Matrix  3  of  4 , with nBins= 8\n",
      "creating matter power spectrum object...\n",
      "zs.size:  998\n",
      "fiducial bs:  [ 1.31336283  1.66697151  2.06888487  2.48113088  2.89695688  3.31442616\n",
      "  3.73278304  4.15167301]\n",
      "fiducial As:  [ 1.00205919  1.00134036  1.00119006  1.00112739  1.00109404  1.00107371\n",
      "  1.00106017  1.00105058]\n",
      "starting cross power with entire kappa... \n",
      "starting angular cross power spectrum  0 ,  0 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : kappa  0\n",
      "starting angular cross power spectrum  0 ,  1 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  1\n",
      "starting angular cross power spectrum  0 ,  2 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  2\n",
      "starting angular cross power spectrum  0 ,  3 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  3\n",
      "starting angular cross power spectrum  0 ,  4 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  4\n",
      "starting angular cross power spectrum  0 ,  5 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  5\n",
      "starting angular cross power spectrum  0 ,  6 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  6\n",
      "starting angular cross power spectrum  0 ,  7 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  7\n",
      "starting angular cross power spectrum  0 ,  8 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  8\n",
      "starting angular cross power spectrum  1 ,  1 ... \n",
      "window  1 : galaxies  1\n",
      "window  2 : galaxies  1\n",
      "starting angular cross power spectrum  1 ,  2 ... \n",
      "starting angular cross power spectrum  1 ,  3 ... \n",
      "starting angular cross power spectrum  1 ,  4 ... \n",
      "starting angular cross power spectrum  1 ,  5 ... \n",
      "starting angular cross power spectrum  1 ,  6 ... \n",
      "starting angular cross power spectrum  1 ,  7 ... \n",
      "starting angular cross power spectrum  1 ,  8 ... \n",
      "starting angular cross power spectrum  2 ,  2 ... \n",
      "window  1 : galaxies  2\n",
      "window  2 : galaxies  2\n",
      "starting angular cross power spectrum  2 ,  3 ... \n",
      "starting angular cross power spectrum  2 ,  4 ... \n",
      "starting angular cross power spectrum  2 ,  5 ... \n",
      "starting angular cross power spectrum  2 ,  6 ... \n",
      "starting angular cross power spectrum  2 ,  7 ... \n",
      "starting angular cross power spectrum  2 ,  8 ... \n",
      "starting angular cross power spectrum  3 ,  3 ... \n",
      "window  1 : galaxies  3\n",
      "window  2 : galaxies  3\n",
      "starting angular cross power spectrum  3 ,  4 ... \n",
      "starting angular cross power spectrum  3 ,  5 ... \n",
      "starting angular cross power spectrum  3 ,  6 ... \n",
      "starting angular cross power spectrum  3 ,  7 ... \n",
      "starting angular cross power spectrum  3 ,  8 ... \n",
      "starting angular cross power spectrum  4 ,  4 ... \n",
      "window  1 : galaxies  4\n",
      "window  2 : galaxies  4\n",
      "starting angular cross power spectrum  4 ,  5 ... \n",
      "starting angular cross power spectrum  4 ,  6 ... \n",
      "starting angular cross power spectrum  4 ,  7 ... \n",
      "starting angular cross power spectrum  4 ,  8 ... \n",
      "starting angular cross power spectrum  5 ,  5 ... \n",
      "window  1 : galaxies  5\n",
      "window  2 : galaxies  5\n",
      "starting angular cross power spectrum  5 ,  6 ... \n",
      "starting angular cross power spectrum  5 ,  7 ... \n",
      "starting angular cross power spectrum  5 ,  8 ... \n",
      "starting angular cross power spectrum  6 ,  6 ... \n",
      "window  1 : galaxies  6\n",
      "window  2 : galaxies  6\n",
      "starting angular cross power spectrum  6 ,  7 ... \n",
      "starting angular cross power spectrum  6 ,  8 ... \n",
      "starting angular cross power spectrum  7 ,  7 ... \n",
      "window  1 : galaxies  7\n",
      "window  2 : galaxies  7\n",
      "starting angular cross power spectrum  7 ,  8 ... \n",
      "starting angular cross power spectrum  8 ,  8 ... \n",
      "window  1 : galaxies  8\n",
      "window  2 : galaxies  8\n",
      "starting cross power with binned kappa... \n",
      "starting angular cross power spectrum  0 ,  0 ... \n",
      "window  1 : kappa  1\n",
      "window  2 : kappa  1\n",
      "window  1 : kappa  1\n",
      "window  2 : galaxies  1\n",
      "window  1 : galaxies  1\n",
      "window  2 : galaxies  1\n",
      "starting angular cross power spectrum  1 ,  1 ... \n",
      "window  1 : kappa  2\n",
      "window  2 : kappa  2\n",
      "window  1 : kappa  2\n",
      "window  2 : galaxies  2\n",
      "window  1 : galaxies  2\n",
      "window  2 : galaxies  2\n",
      "starting angular cross power spectrum  2 ,  2 ... \n",
      "window  1 : kappa  3\n",
      "window  2 : kappa  3\n",
      "window  1 : kappa  3\n",
      "window  2 : galaxies  3\n",
      "window  1 : galaxies  3\n",
      "window  2 : galaxies  3\n",
      "starting angular cross power spectrum  3 ,  3 ... \n",
      "window  1 : kappa  4\n",
      "window  2 : kappa  4\n",
      "window  1 : kappa  4\n",
      "window  2 : galaxies  4\n",
      "window  1 : galaxies  4\n",
      "window  2 : galaxies  4\n",
      "starting angular cross power spectrum  4 ,  4 ... \n",
      "window  1 : kappa  5\n",
      "window  2 : kappa  5\n",
      "window  1 : kappa  5\n",
      "window  2 : galaxies  5\n",
      "window  1 : galaxies  5\n",
      "window  2 : galaxies  5\n",
      "starting angular cross power spectrum  5 ,  5 ... \n",
      "window  1 : kappa  6\n",
      "window  2 : kappa  6\n",
      "window  1 : kappa  6\n",
      "window  2 : galaxies  6\n",
      "window  1 : galaxies  6\n",
      "window  2 : galaxies  6\n",
      "starting angular cross power spectrum  6 ,  6 ... \n",
      "window  1 : kappa  7\n",
      "window  2 : kappa  7\n",
      "window  1 : kappa  7\n",
      "window  2 : galaxies  7\n",
      "window  1 : galaxies  7\n",
      "window  2 : galaxies  7\n",
      "starting angular cross power spectrum  7 ,  7 ... \n",
      "window  1 : kappa  8\n",
      "window  2 : kappa  8\n",
      "window  1 : kappa  8\n",
      "window  2 : galaxies  8\n",
      "window  1 : galaxies  8\n",
      "window  2 : galaxies  8\n",
      "building covariance matrix... \n",
      "starting covariance set  1  of  9 ... \n",
      "starting covariance set  2  of  9 ... \n",
      "starting covariance set  3  of  9 ... \n",
      "starting covariance set  4  of  9 ... \n",
      "starting covariance set  5  of  9 ... \n",
      "starting covariance set  6  of  9 ... \n",
      "starting covariance set  7  of  9 ... \n",
      "starting covariance set  8  of  9 ... \n",
      "starting covariance set  9  of  9 ... \n",
      "inverting covariance matrix... \n",
      "starting creation of C_l derivatives... \n",
      "starting derivative set  1  of  9 ... \n",
      "starting derivative set  2  of  9 ... \n",
      "starting derivative set  3  of  9 ... \n",
      "starting derivative set  4  of  9 ... \n",
      "starting derivative set  5  of  9 ... \n",
      "starting derivative set  6  of  9 ... \n",
      "starting derivative set  7  of  9 ... \n",
      "starting derivative set  8  of  9 ... \n",
      "starting derivative set  9  of  9 ... \n",
      "building Fisher matrix from components...\n",
      "invCov.shape:  (45, 45, 1999) , dClVecs.shape:  (45, 16, 1999)\n",
      "starting bin set  1  of  16\n",
      "starting bin set  2  of  16\n",
      "starting bin set  3  of  16\n",
      "starting bin set  4  of  16\n",
      "starting bin set  5  of  16\n",
      "starting bin set  6  of  16\n",
      "starting bin set  7  of  16\n",
      "starting bin set  8  of  16\n",
      "starting bin set  9  of  16\n",
      "starting bin set  10  of  16\n",
      "starting bin set  11  of  16\n",
      "starting bin set  12  of  16\n",
      "starting bin set  13  of  16\n",
      "starting bin set  14  of  16\n",
      "starting bin set  15  of  16\n",
      "starting bin set  16  of  16\n",
      "creation of Fisher Matrix complete!\n",
      "\n",
      "inverting Fij  3  of  4\n",
      "eigenvalues:  [  1.94815388e-07   2.93111098e-07   4.59745217e-07   6.79017660e-07\n",
      "   9.43548538e-07   1.26072839e-06   1.61759795e-06   2.02935036e-06\n",
      "   1.00000000e+00   1.00000000e+00   1.00000000e+00   1.00000000e+00\n",
      "   1.00000000e+00   1.00000000e+00   1.00000000e+00   1.00000000e+00]\n",
      "sigmas:  [  1.00000000e+00   1.00000000e+00   1.00000000e+00   1.00000000e+00\n",
      "   1.00000000e+00   1.00000000e+00   1.00000000e+00   1.00000000e+00\n",
      "   4.41378962e-04   5.41397356e-04   6.78045144e-04   8.24025279e-04\n",
      "   9.71364267e-04   1.12282162e-03   1.27184824e-03   1.42455269e-03]\n",
      "\n",
      " starting Fisher Matrix  4  of  4 , with nBins= 16\n",
      "creating matter power spectrum object...\n",
      "zs.size:  998\n",
      "fiducial bs:  [ 1.15957405  1.33705723  1.5380536   1.74417406  1.9520848   2.16082082\n",
      "  2.37000379  2.57945566  2.78908177  2.99882719  3.20865786  3.41855155\n",
      "  3.62849315  3.83847201  4.04848042  4.25851266]\n",
      "fiducial As:  [ 1.00204904  1.0013554   1.00120852  1.00114403  1.0011081   1.00108546\n",
      "  1.00107005  1.00105898  1.00105069  1.00104429  1.00103921  1.0010351\n",
      "  1.00103171  1.00102888  1.00102647  1.00102441]\n",
      "starting cross power with entire kappa... \n",
      "starting angular cross power spectrum  0 ,  0 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : kappa  0\n",
      "starting angular cross power spectrum  0 ,  1 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  1\n",
      "starting angular cross power spectrum  0 ,  2 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  2\n",
      "starting angular cross power spectrum  0 ,  3 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  3\n",
      "starting angular cross power spectrum  0 ,  4 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  4\n",
      "starting angular cross power spectrum  0 ,  5 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  5\n",
      "starting angular cross power spectrum  0 ,  6 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  6\n",
      "starting angular cross power spectrum  0 ,  7 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  7\n",
      "starting angular cross power spectrum  0 ,  8 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  8\n",
      "starting angular cross power spectrum  0 ,  9 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  9\n",
      "starting angular cross power spectrum  0 ,  10 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  10\n",
      "starting angular cross power spectrum  0 ,  11 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  11\n",
      "starting angular cross power spectrum  0 ,  12 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  12\n",
      "starting angular cross power spectrum  0 ,  13 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  13\n",
      "starting angular cross power spectrum  0 ,  14 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  14\n",
      "starting angular cross power spectrum  0 ,  15 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  15\n",
      "starting angular cross power spectrum  0 ,  16 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  16\n",
      "starting angular cross power spectrum  1 ,  1 ... \n",
      "window  1 : galaxies  1\n",
      "window  2 : galaxies  1\n",
      "starting angular cross power spectrum  1 ,  2 ... \n",
      "starting angular cross power spectrum  1 ,  3 ... \n",
      "starting angular cross power spectrum  1 ,  4 ... \n",
      "starting angular cross power spectrum  1 ,  5 ... \n",
      "starting angular cross power spectrum  1 ,  6 ... \n",
      "starting angular cross power spectrum  1 ,  7 ... \n",
      "starting angular cross power spectrum  1 ,  8 ... \n",
      "starting angular cross power spectrum  1 ,  9 ... \n",
      "starting angular cross power spectrum  1 ,  10 ... \n",
      "starting angular cross power spectrum  1 ,  11 ... \n",
      "starting angular cross power spectrum  1 ,  12 ... \n",
      "starting angular cross power spectrum  1 ,  13 ... \n",
      "starting angular cross power spectrum  1 ,  14 ... \n",
      "starting angular cross power spectrum  1 ,  15 ... \n",
      "starting angular cross power spectrum  1 ,  16 ... \n",
      "starting angular cross power spectrum  2 ,  2 ... \n",
      "window  1 : galaxies  2\n",
      "window  2 : galaxies  2\n",
      "starting angular cross power spectrum  2 ,  3 ... \n",
      "starting angular cross power spectrum  2 ,  4 ... \n",
      "starting angular cross power spectrum  2 ,  5 ... \n",
      "starting angular cross power spectrum  2 ,  6 ... \n",
      "starting angular cross power spectrum  2 ,  7 ... \n",
      "starting angular cross power spectrum  2 ,  8 ... \n",
      "starting angular cross power spectrum  2 ,  9 ... \n",
      "starting angular cross power spectrum  2 ,  10 ... \n",
      "starting angular cross power spectrum  2 ,  11 ... \n",
      "starting angular cross power spectrum  2 ,  12 ... \n",
      "starting angular cross power spectrum  2 ,  13 ... \n",
      "starting angular cross power spectrum  2 ,  14 ... \n",
      "starting angular cross power spectrum  2 ,  15 ... \n",
      "starting angular cross power spectrum  2 ,  16 ... \n",
      "starting angular cross power spectrum  3 ,  3 ... \n",
      "window  1 : galaxies  3\n",
      "window  2 : galaxies  3\n",
      "starting angular cross power spectrum  3 ,  4 ... \n",
      "starting angular cross power spectrum  3 ,  5 ... \n",
      "starting angular cross power spectrum  3 ,  6 ... \n",
      "starting angular cross power spectrum  3 ,  7 ... \n",
      "starting angular cross power spectrum  3 ,  8 ... \n",
      "starting angular cross power spectrum  3 ,  9 ... \n",
      "starting angular cross power spectrum  3 ,  10 ... \n",
      "starting angular cross power spectrum  3 ,  11 ... \n",
      "starting angular cross power spectrum  3 ,  12 ... \n",
      "starting angular cross power spectrum  3 ,  13 ... \n",
      "starting angular cross power spectrum  3 ,  14 ... \n",
      "starting angular cross power spectrum  3 ,  15 ... \n",
      "starting angular cross power spectrum  3 ,  16 ... \n",
      "starting angular cross power spectrum  4 ,  4 ... \n",
      "window  1 : galaxies  4\n",
      "window  2 : galaxies  4\n",
      "starting angular cross power spectrum  4 ,  5 ... \n",
      "starting angular cross power spectrum  4 ,  6 ... \n",
      "starting angular cross power spectrum  4 ,  7 ... \n",
      "starting angular cross power spectrum  4 ,  8 ... \n",
      "starting angular cross power spectrum  4 ,  9 ... \n",
      "starting angular cross power spectrum  4 ,  10 ... \n",
      "starting angular cross power spectrum  4 ,  11 ... \n",
      "starting angular cross power spectrum  4 ,  12 ... \n",
      "starting angular cross power spectrum  4 ,  13 ... \n",
      "starting angular cross power spectrum  4 ,  14 ... \n",
      "starting angular cross power spectrum  4 ,  15 ... \n",
      "starting angular cross power spectrum  4 ,  16 ... \n",
      "starting angular cross power spectrum  5 ,  5 ... \n",
      "window  1 : galaxies  5\n",
      "window  2 : galaxies  5\n",
      "starting angular cross power spectrum  5 ,  6 ... \n",
      "starting angular cross power spectrum  5 ,  7 ... \n",
      "starting angular cross power spectrum  5 ,  8 ... \n",
      "starting angular cross power spectrum  5 ,  9 ... \n",
      "starting angular cross power spectrum  5 ,  10 ... \n",
      "starting angular cross power spectrum  5 ,  11 ... \n",
      "starting angular cross power spectrum  5 ,  12 ... \n",
      "starting angular cross power spectrum  5 ,  13 ... \n",
      "starting angular cross power spectrum  5 ,  14 ... \n",
      "starting angular cross power spectrum  5 ,  15 ... \n",
      "starting angular cross power spectrum  5 ,  16 ... \n",
      "starting angular cross power spectrum  6 ,  6 ... \n",
      "window  1 : galaxies  6\n",
      "window  2 : galaxies  6\n",
      "starting angular cross power spectrum  6 ,  7 ... \n",
      "starting angular cross power spectrum  6 ,  8 ... \n",
      "starting angular cross power spectrum  6 ,  9 ... \n",
      "starting angular cross power spectrum  6 ,  10 ... \n",
      "starting angular cross power spectrum  6 ,  11 ... \n",
      "starting angular cross power spectrum  6 ,  12 ... \n",
      "starting angular cross power spectrum  6 ,  13 ... \n",
      "starting angular cross power spectrum  6 ,  14 ... \n",
      "starting angular cross power spectrum  6 ,  15 ... \n",
      "starting angular cross power spectrum  6 ,  16 ... \n",
      "starting angular cross power spectrum  7 ,  7 ... \n",
      "window  1 : galaxies  7\n",
      "window  2 : galaxies  7\n",
      "starting angular cross power spectrum  7 ,  8 ... \n",
      "starting angular cross power spectrum  7 ,  9 ... \n",
      "starting angular cross power spectrum  7 ,  10 ... \n",
      "starting angular cross power spectrum  7 ,  11 ... \n",
      "starting angular cross power spectrum  7 ,  12 ... \n",
      "starting angular cross power spectrum  7 ,  13 ... \n",
      "starting angular cross power spectrum  7 ,  14 ... \n",
      "starting angular cross power spectrum  7 ,  15 ... \n",
      "starting angular cross power spectrum  7 ,  16 ... \n",
      "starting angular cross power spectrum  8 ,  8 ... \n",
      "window  1 : galaxies  8\n",
      "window  2 : galaxies  8\n",
      "starting angular cross power spectrum  8 ,  9 ... \n",
      "starting angular cross power spectrum  8 ,  10 ... \n",
      "starting angular cross power spectrum  8 ,  11 ... \n",
      "starting angular cross power spectrum  8 ,  12 ... \n",
      "starting angular cross power spectrum  8 ,  13 ... \n",
      "starting angular cross power spectrum  8 ,  14 ... \n",
      "starting angular cross power spectrum  8 ,  15 ... \n",
      "starting angular cross power spectrum  8 ,  16 ... \n",
      "starting angular cross power spectrum  9 ,  9 ... \n",
      "window  1 : galaxies  9\n",
      "window  2 : galaxies  9\n",
      "starting angular cross power spectrum  9 ,  10 ... \n",
      "starting angular cross power spectrum  9 ,  11 ... \n",
      "starting angular cross power spectrum  9 ,  12 ... \n",
      "starting angular cross power spectrum  9 ,  13 ... \n",
      "starting angular cross power spectrum  9 ,  14 ... \n",
      "starting angular cross power spectrum  9 ,  15 ... \n",
      "starting angular cross power spectrum  9 ,  16 ... \n",
      "starting angular cross power spectrum  10 ,  10 ... \n",
      "window  1 : galaxies  10\n",
      "window  2 : galaxies  10\n",
      "starting angular cross power spectrum  10 ,  11 ... \n",
      "starting angular cross power spectrum  10 ,  12 ... \n",
      "starting angular cross power spectrum  10 ,  13 ... \n",
      "starting angular cross power spectrum  10 ,  14 ... \n",
      "starting angular cross power spectrum  10 ,  15 ... \n",
      "starting angular cross power spectrum  10 ,  16 ... \n",
      "starting angular cross power spectrum  11 ,  11 ... \n",
      "window  1 : galaxies  11\n",
      "window  2 : galaxies  11\n",
      "starting angular cross power spectrum  11 ,  12 ... \n",
      "starting angular cross power spectrum  11 ,  13 ... \n",
      "starting angular cross power spectrum  11 ,  14 ... \n",
      "starting angular cross power spectrum  11 ,  15 ... \n",
      "starting angular cross power spectrum  11 ,  16 ... \n",
      "starting angular cross power spectrum  12 ,  12 ... \n",
      "window  1 : galaxies  12\n",
      "window  2 : galaxies  12\n",
      "starting angular cross power spectrum  12 ,  13 ... \n",
      "starting angular cross power spectrum  12 ,  14 ... \n",
      "starting angular cross power spectrum  12 ,  15 ... \n",
      "starting angular cross power spectrum  12 ,  16 ... \n",
      "starting angular cross power spectrum  13 ,  13 ... \n",
      "window  1 : galaxies  13\n",
      "window  2 : galaxies  13\n",
      "starting angular cross power spectrum  13 ,  14 ... \n",
      "starting angular cross power spectrum  13 ,  15 ... \n",
      "starting angular cross power spectrum  13 ,  16 ... \n",
      "starting angular cross power spectrum  14 ,  14 ... \n",
      "window  1 : galaxies  14\n",
      "window  2 : galaxies  14\n",
      "starting angular cross power spectrum  14 ,  15 ... \n",
      "starting angular cross power spectrum  14 ,  16 ... \n",
      "starting angular cross power spectrum  15 ,  15 ... \n",
      "window  1 : galaxies  15\n",
      "window  2 : galaxies  15\n",
      "starting angular cross power spectrum  15 ,  16 ... \n",
      "starting angular cross power spectrum  16 ,  16 ... \n",
      "window  1 : galaxies  16\n",
      "window  2 : galaxies  16\n",
      "starting cross power with binned kappa... \n",
      "starting angular cross power spectrum  0 ,  0 ... \n",
      "window  1 : kappa  1\n",
      "window  2 : kappa  1\n",
      "window  1 : kappa  1\n",
      "window  2 : galaxies  1\n",
      "window  1 : galaxies  1\n",
      "window  2 : galaxies  1\n",
      "starting angular cross power spectrum  1 ,  1 ... \n",
      "window  1 : kappa  2\n",
      "window  2 : kappa  2\n",
      "window  1 : kappa  2\n",
      "window  2 : galaxies  2\n",
      "window  1 : galaxies  2\n",
      "window  2 : galaxies  2\n",
      "starting angular cross power spectrum  2 ,  2 ... \n",
      "window  1 : kappa  3\n",
      "window  2 : kappa  3\n",
      "window  1 : kappa  3\n",
      "window  2 : galaxies  3\n",
      "window  1 : galaxies  3\n",
      "window  2 : galaxies  3\n",
      "starting angular cross power spectrum  3 ,  3 ... \n",
      "window  1 : kappa  4\n",
      "window  2 : kappa  4\n",
      "window  1 : kappa  4\n",
      "window  2 : galaxies  4\n",
      "window  1 : galaxies  4\n",
      "window  2 : galaxies  4\n",
      "starting angular cross power spectrum  4 ,  4 ... \n",
      "window  1 : kappa  5\n",
      "window  2 : kappa  5\n",
      "window  1 : kappa  5\n",
      "window  2 : galaxies  5\n",
      "window  1 : galaxies  5\n",
      "window  2 : galaxies  5\n",
      "starting angular cross power spectrum  5 ,  5 ... \n",
      "window  1 : kappa  6\n",
      "window  2 : kappa  6\n",
      "window  1 : kappa  6\n",
      "window  2 : galaxies  6\n",
      "window  1 : galaxies  6\n",
      "window  2 : galaxies  6\n",
      "starting angular cross power spectrum  6 ,  6 ... \n",
      "window  1 : kappa  7\n",
      "window  2 : kappa  7\n",
      "window  1 : kappa  7\n",
      "window  2 : galaxies  7\n",
      "window  1 : galaxies  7\n",
      "window  2 : galaxies  7\n",
      "starting angular cross power spectrum  7 ,  7 ... \n",
      "window  1 : kappa  8\n",
      "window  2 : kappa  8\n",
      "window  1 : kappa  8\n",
      "window  2 : galaxies  8\n",
      "window  1 : galaxies  8\n",
      "window  2 : galaxies  8\n",
      "starting angular cross power spectrum  8 ,  8 ... \n",
      "window  1 : kappa  9\n",
      "window  2 : kappa  9\n",
      "window  1 : kappa  9\n",
      "window  2 : galaxies  9\n",
      "window  1 : galaxies  9\n",
      "window  2 : galaxies  9\n",
      "starting angular cross power spectrum  9 ,  9 ... \n",
      "window  1 : kappa  10\n",
      "window  2 : kappa  10\n",
      "window  1 : kappa  10\n",
      "window  2 : galaxies  10\n",
      "window  1 : galaxies  10\n",
      "window  2 : galaxies  10\n",
      "starting angular cross power spectrum  10 ,  10 ... \n",
      "window  1 : kappa  11\n",
      "window  2 : kappa  11\n",
      "window  1 : kappa  11\n",
      "window  2 : galaxies  11\n",
      "window  1 : galaxies  11\n",
      "window  2 : galaxies  11\n",
      "starting angular cross power spectrum  11 ,  11 ... \n",
      "window  1 : kappa  12\n",
      "window  2 : kappa  12\n",
      "window  1 : kappa  12\n",
      "window  2 : galaxies  12\n",
      "window  1 : galaxies  12\n",
      "window  2 : galaxies  12\n",
      "starting angular cross power spectrum  12 ,  12 ... \n",
      "window  1 : kappa  13\n",
      "window  2 : kappa  13\n",
      "window  1 : kappa  13\n",
      "window  2 : galaxies  13\n",
      "window  1 : galaxies  13\n",
      "window  2 : galaxies  13\n",
      "starting angular cross power spectrum  13 ,  13 ... \n",
      "window  1 : kappa  14\n",
      "window  2 : kappa  14\n",
      "window  1 : kappa  14\n",
      "window  2 : galaxies  14\n",
      "window  1 : galaxies  14\n",
      "window  2 : galaxies  14\n",
      "starting angular cross power spectrum  14 ,  14 ... \n",
      "window  1 : kappa  15\n",
      "window  2 : kappa  15\n",
      "window  1 : kappa  15\n",
      "window  2 : galaxies  15\n",
      "window  1 : galaxies  15\n",
      "window  2 : galaxies  15\n",
      "starting angular cross power spectrum  15 ,  15 ... \n",
      "window  1 : kappa  16\n",
      "window  2 : kappa  16\n",
      "window  1 : kappa  16\n",
      "window  2 : galaxies  16\n",
      "window  1 : galaxies  16\n",
      "window  2 : galaxies  16\n",
      "building covariance matrix... \n",
      "starting covariance set  1  of  17 ... \n",
      "starting covariance set  2  of  17 ... \n",
      "starting covariance set  3  of  17 ... \n",
      "starting covariance set  4  of  17 ... \n",
      "starting covariance set  5  of  17 ... \n",
      "starting covariance set  6  of  17 ... \n",
      "starting covariance set  7  of  17 ... \n",
      "starting covariance set  8  of  17 ... \n",
      "starting covariance set  9  of  17 ... \n",
      "starting covariance set  10  of  17 ... \n",
      "starting covariance set  11  of  17 ... \n",
      "starting covariance set  12  of  17 ... \n",
      "starting covariance set  13  of  17 ... \n",
      "starting covariance set  14  of  17 ... \n",
      "starting covariance set  15  of  17 ... \n",
      "starting covariance set  16  of  17 ... \n",
      "starting covariance set  17  of  17 ... \n",
      "inverting covariance matrix... \n",
      "starting creation of C_l derivatives... \n",
      "starting derivative set  1  of  17 ... \n",
      "starting derivative set  2  of  17 ... \n",
      "starting derivative set  3  of  17 ... \n",
      "starting derivative set  4  of  17 ... \n",
      "starting derivative set  5  of  17 ... \n",
      "starting derivative set  6  of  17 ... \n",
      "starting derivative set  7  of  17 ... \n",
      "starting derivative set  8  of  17 ... \n",
      "starting derivative set  9  of  17 ... \n",
      "starting derivative set  10  of  17 ... \n",
      "starting derivative set  11  of  17 ... \n",
      "starting derivative set  12  of  17 ... \n",
      "starting derivative set  13  of  17 ... \n",
      "starting derivative set  14  of  17 ... \n",
      "starting derivative set  15  of  17 ... \n",
      "starting derivative set  16  of  17 ... \n",
      "starting derivative set  17  of  17 ... \n",
      "building Fisher matrix from components...\n",
      "invCov.shape:  (153, 153, 1999) , dClVecs.shape:  (153, 32, 1999)\n",
      "starting bin set  1  of  32\n",
      "starting bin set  2  of  32\n",
      "starting bin set  3  of  32\n",
      "starting bin set  4  of  32\n",
      "starting bin set  5  of  32\n",
      "starting bin set  6  of  32\n",
      "starting bin set  7  of  32\n",
      "starting bin set  8  of  32\n",
      "starting bin set  9  of  32\n",
      "starting bin set  10  of  32\n",
      "starting bin set  11  of  32\n",
      "starting bin set  12  of  32\n",
      "starting bin set  13  of  32\n",
      "starting bin set  14  of  32\n",
      "starting bin set  15  of  32\n",
      "starting bin set  16  of  32\n",
      "starting bin set  17  of  32\n",
      "starting bin set  18  of  32\n",
      "starting bin set  19  of  32\n",
      "starting bin set  20  of  32\n",
      "starting bin set  21  of  32\n",
      "starting bin set  22  of  32\n",
      "starting bin set  23  of  32\n",
      "starting bin set  24  of  32\n",
      "starting bin set  25  of  32\n",
      "starting bin set  26  of  32\n",
      "starting bin set  27  of  32\n",
      "starting bin set  28  of  32\n",
      "starting bin set  29  of  32\n",
      "starting bin set  30  of  32\n",
      "starting bin set  31  of  32\n",
      "starting bin set  32  of  32\n",
      "creation of Fisher Matrix complete!\n",
      "\n",
      "inverting Fij  4  of  4\n",
      "eigenvalues:  [  1.63609118e-07   2.06609672e-07   2.69964893e-07   3.47886634e-07\n",
      "   4.38769268e-07   5.39858715e-07   6.55898301e-07   7.80792797e-07\n",
      "   9.18124931e-07   1.06570321e-06   1.22811936e-06   1.40045472e-06\n",
      "   1.58166262e-06   1.77453562e-06   1.98348693e-06   2.20025176e-06\n",
      "   1.00000000e+00   1.00000000e+00   1.00000000e+00   1.00000000e+00\n",
      "   1.00000000e+00   1.00000000e+00   1.00000000e+00   1.00000000e+00\n",
      "   1.00000000e+00   1.00000000e+00   1.00000000e+00   1.00000000e+00\n",
      "   1.00000000e+00   1.00000000e+00   1.00000000e+00   1.00000000e+00]\n",
      "sigmas:  [  1.00000000e+00   1.00000000e+00   1.00000000e+00   1.00000000e+00\n",
      "   1.00000000e+00   1.00000000e+00   1.00000000e+00   1.00000000e+00\n",
      "   1.00000000e+00   1.00000000e+00   1.00000000e+00   1.00000000e+00\n",
      "   1.00000000e+00   1.00000000e+00   1.00000000e+00   1.00000000e+00\n",
      "   4.04486239e-04   4.54543366e-04   5.19581460e-04   5.89819153e-04\n",
      "   6.62396609e-04   7.34750784e-04   8.09875485e-04   8.83624805e-04\n",
      "   9.58188359e-04   1.03232902e-03   1.10820547e-03   1.18340810e-03\n",
      "   1.25764169e-03   1.33211697e-03   1.40836321e-03   1.48332456e-03]\n",
      "eigenvalues of all inverses of Fisher matrices:  [  3.95831699e-07   1.20486294e-06   1.00000000e+00   1.00000000e+00\n",
      "   2.53856965e-07   5.19398795e-07   1.01501996e-06   1.70968882e-06\n",
      "   1.00000000e+00   1.00000000e+00   1.00000000e+00   1.00000000e+00\n",
      "   1.94815388e-07   2.93111098e-07   4.59745217e-07   6.79017660e-07\n",
      "   9.43548538e-07   1.26072839e-06   1.61759795e-06   2.02935036e-06\n",
      "   1.00000000e+00   1.00000000e+00   1.00000000e+00   1.00000000e+00\n",
      "   1.00000000e+00   1.00000000e+00   1.00000000e+00   1.00000000e+00\n",
      "   1.63609118e-07   2.06609672e-07   2.69964893e-07   3.47886634e-07\n",
      "   4.38769268e-07   5.39858715e-07   6.55898301e-07   7.80792797e-07\n",
      "   9.18124931e-07   1.06570321e-06   1.22811936e-06   1.40045472e-06\n",
      "   1.58166262e-06   1.77453562e-06   1.98348693e-06   2.20025176e-06\n",
      "   1.00000000e+00   1.00000000e+00   1.00000000e+00   1.00000000e+00\n",
      "   1.00000000e+00   1.00000000e+00   1.00000000e+00   1.00000000e+00\n",
      "   1.00000000e+00   1.00000000e+00   1.00000000e+00   1.00000000e+00\n",
      "   1.00000000e+00   1.00000000e+00   1.00000000e+00   1.00000000e+00]\n"
     ]
    },
    {
     "data": {
      "image/png": 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XXXQRFSpUoHPnzuzbtw+A5ORk+vfvT9WqVYmLi+OCCy5g9+7deXznIiIiUtzN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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11b77c450>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "4. # with doNorm = False, useWk = True in winGalaxies\n",
    "# now with noAs\n",
    "eigs4,fidAs4,fidBs4,sigmasA4,sigmasB4 = fcl.plotSigmasByNBins(zmax=4,noAs=True,doNorm=False,useWk=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# get a FisherMatrix object ready for use in testing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 187,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<module 'FisherCl' from 'FisherCl.pyc'>"
      ]
     },
     "execution_count": 187,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "reload(fcl)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 188,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "creating matter power spectrum object...\n",
      "zs.size:  998\n",
      "fiducial bs:  [ 1.20659247  1.44438162  1.71564531  1.98730958  2.26437998  2.54602578\n",
      "  2.82121551  3.10026531  3.38370423  3.65896502  3.93850071  4.22298541]\n",
      "fiducial As:  [ 1.00205539  1.00135197  1.0012025   1.00113789  1.00110255  1.00108063\n",
      "  1.00106588  1.00105537  1.00104755  1.00104154  1.00103678  1.00103293]\n",
      "starting cross power with entire kappa... \n",
      "starting angular cross power spectrum  0 ,  0 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : kappa  0\n",
      "starting angular cross power spectrum  0 ,  1 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  1\n",
      "starting angular cross power spectrum  0 ,  2 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  2\n",
      "starting angular cross power spectrum  0 ,  3 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  3\n",
      "starting angular cross power spectrum  0 ,  4 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  4\n",
      "starting angular cross power spectrum  0 ,  5 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  5\n",
      "starting angular cross power spectrum  0 ,  6 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  6\n",
      "starting angular cross power spectrum  0 ,  7 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  7\n",
      "starting angular cross power spectrum  0 ,  8 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  8\n",
      "starting angular cross power spectrum  0 ,  9 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  9\n",
      "starting angular cross power spectrum  0 ,  10 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  10\n",
      "starting angular cross power spectrum  0 ,  11 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  11\n",
      "starting angular cross power spectrum  0 ,  12 ... \n",
      "window  1 : kappa  0\n",
      "window  2 : galaxies  12\n",
      "starting angular cross power spectrum  1 ,  1 ... \n",
      "window  1 : galaxies  1\n",
      "window  2 : galaxies  1\n",
      "starting angular cross power spectrum  1 ,  2 ... \n",
      "starting angular cross power spectrum  1 ,  3 ... \n",
      "starting angular cross power spectrum  1 ,  4 ... \n",
      "starting angular cross power spectrum  1 ,  5 ... \n",
      "starting angular cross power spectrum  1 ,  6 ... \n",
      "starting angular cross power spectrum  1 ,  7 ... \n",
      "starting angular cross power spectrum  1 ,  8 ... \n",
      "starting angular cross power spectrum  1 ,  9 ... \n",
      "starting angular cross power spectrum  1 ,  10 ... \n",
      "starting angular cross power spectrum  1 ,  11 ... \n",
      "starting angular cross power spectrum  1 ,  12 ... \n",
      "starting angular cross power spectrum  2 ,  2 ... \n",
      "window  1 : galaxies  2\n",
      "window  2 : galaxies  2\n",
      "starting angular cross power spectrum  2 ,  3 ... \n",
      "starting angular cross power spectrum  2 ,  4 ... \n",
      "starting angular cross power spectrum  2 ,  5 ... \n",
      "starting angular cross power spectrum  2 ,  6 ... \n",
      "starting angular cross power spectrum  2 ,  7 ... \n",
      "starting angular cross power spectrum  2 ,  8 ... \n",
      "starting angular cross power spectrum  2 ,  9 ... \n",
      "starting angular cross power spectrum  2 ,  10 ... \n",
      "starting angular cross power spectrum  2 ,  11 ... \n",
      "starting angular cross power spectrum  2 ,  12 ... \n",
      "starting angular cross power spectrum  3 ,  3 ... \n",
      "window  1 : galaxies  3\n",
      "window  2 : galaxies  3\n",
      "starting angular cross power spectrum  3 ,  4 ... \n",
      "starting angular cross power spectrum  3 ,  5 ... \n",
      "starting angular cross power spectrum  3 ,  6 ... \n",
      "starting angular cross power spectrum  3 ,  7 ... \n",
      "starting angular cross power spectrum  3 ,  8 ... \n",
      "starting angular cross power spectrum  3 ,  9 ... \n",
      "starting angular cross power spectrum  3 ,  10 ... \n",
      "starting angular cross power spectrum  3 ,  11 ... \n",
      "starting angular cross power spectrum  3 ,  12 ... \n",
      "starting angular cross power spectrum  4 ,  4 ... \n",
      "window  1 : galaxies  4\n",
      "window  2 : galaxies  4\n",
      "starting angular cross power spectrum  4 ,  5 ... \n",
      "starting angular cross power spectrum  4 ,  6 ... \n",
      "starting angular cross power spectrum  4 ,  7 ... \n",
      "starting angular cross power spectrum  4 ,  8 ... \n",
      "starting angular cross power spectrum  4 ,  9 ... \n",
      "starting angular cross power spectrum  4 ,  10 ... \n",
      "starting angular cross power spectrum  4 ,  11 ... \n",
      "starting angular cross power spectrum  4 ,  12 ... \n",
      "starting angular cross power spectrum  5 ,  5 ... \n",
      "window  1 : galaxies  5\n",
      "window  2 : galaxies  5\n",
      "starting angular cross power spectrum  5 ,  6 ... \n",
      "starting angular cross power spectrum  5 ,  7 ... \n",
      "starting angular cross power spectrum  5 ,  8 ... \n",
      "starting angular cross power spectrum  5 ,  9 ... \n",
      "starting angular cross power spectrum  5 ,  10 ... \n",
      "starting angular cross power spectrum  5 ,  11 ... \n",
      "starting angular cross power spectrum  5 ,  12 ... \n",
      "starting angular cross power spectrum  6 ,  6 ... \n",
      "window  1 : galaxies  6\n",
      "window  2 : galaxies  6\n",
      "starting angular cross power spectrum  6 ,  7 ... \n",
      "starting angular cross power spectrum  6 ,  8 ... \n",
      "starting angular cross power spectrum  6 ,  9 ... \n",
      "starting angular cross power spectrum  6 ,  10 ... \n",
      "starting angular cross power spectrum  6 ,  11 ... \n",
      "starting angular cross power spectrum  6 ,  12 ... \n",
      "starting angular cross power spectrum  7 ,  7 ... \n",
      "window  1 : galaxies  7\n",
      "window  2 : galaxies  7\n",
      "starting angular cross power spectrum  7 ,  8 ... \n",
      "starting angular cross power spectrum  7 ,  9 ... \n",
      "starting angular cross power spectrum  7 ,  10 ... \n",
      "starting angular cross power spectrum  7 ,  11 ... \n",
      "starting angular cross power spectrum  7 ,  12 ... \n",
      "starting angular cross power spectrum  8 ,  8 ... \n",
      "window  1 : galaxies  8\n",
      "window  2 : galaxies  8\n",
      "starting angular cross power spectrum  8 ,  9 ... \n",
      "starting angular cross power spectrum  8 ,  10 ... \n",
      "starting angular cross power spectrum  8 ,  11 ... \n",
      "starting angular cross power spectrum  8 ,  12 ... \n",
      "starting angular cross power spectrum  9 ,  9 ... \n",
      "window  1 : galaxies  9\n",
      "window  2 : galaxies  9\n",
      "starting angular cross power spectrum  9 ,  10 ... \n",
      "starting angular cross power spectrum  9 ,  11 ... \n",
      "starting angular cross power spectrum  9 ,  12 ... \n",
      "starting angular cross power spectrum  10 ,  10 ... \n",
      "window  1 : galaxies  10\n",
      "window  2 : galaxies  10\n",
      "starting angular cross power spectrum  10 ,  11 ... \n",
      "starting angular cross power spectrum  10 ,  12 ... \n",
      "starting angular cross power spectrum  11 ,  11 ... \n",
      "window  1 : galaxies  11\n",
      "window  2 : galaxies  11\n",
      "starting angular cross power spectrum  11 ,  12 ... \n",
      "starting angular cross power spectrum  12 ,  12 ... \n",
      "window  1 : galaxies  12\n",
      "window  2 : galaxies  12\n",
      "starting cross power with binned kappa... \n",
      "starting angular cross power spectrum  0 ,  0 ... \n",
      "window  1 : kappa  1\n",
      "window  2 : kappa  1\n",
      "window  1 : kappa  1\n",
      "window  2 : galaxies  1\n",
      "window  1 : galaxies  1\n",
      "window  2 : galaxies  1\n",
      "starting angular cross power spectrum  1 ,  1 ... \n",
      "window  1 : kappa  2\n",
      "window  2 : kappa  2\n",
      "window  1 : kappa  2\n",
      "window  2 : galaxies  2\n",
      "window  1 : galaxies  2\n",
      "window  2 : galaxies  2\n",
      "starting angular cross power spectrum  2 ,  2 ... \n",
      "window  1 : kappa  3\n",
      "window  2 : kappa  3\n",
      "window  1 : kappa  3\n",
      "window  2 : galaxies  3\n",
      "window  1 : galaxies  3\n",
      "window  2 : galaxies  3\n",
      "starting angular cross power spectrum  3 ,  3 ... \n",
      "window  1 : kappa  4\n",
      "window  2 : kappa  4\n",
      "window  1 : kappa  4\n",
      "window  2 : galaxies  4\n",
      "window  1 : galaxies  4\n",
      "window  2 : galaxies  4\n",
      "starting angular cross power spectrum  4 ,  4 ... \n",
      "window  1 : kappa  5\n",
      "window  2 : kappa  5\n",
      "window  1 : kappa  5\n",
      "window  2 : galaxies  5\n",
      "window  1 : galaxies  5\n",
      "window  2 : galaxies  5\n",
      "starting angular cross power spectrum  5 ,  5 ... \n",
      "window  1 : kappa  6\n",
      "window  2 : kappa  6\n",
      "window  1 : kappa  6\n",
      "window  2 : galaxies  6\n",
      "window  1 : galaxies  6\n",
      "window  2 : galaxies  6\n",
      "starting angular cross power spectrum  6 ,  6 ... \n",
      "window  1 : kappa  7\n",
      "window  2 : kappa  7\n",
      "window  1 : kappa  7\n",
      "window  2 : galaxies  7\n",
      "window  1 : galaxies  7\n",
      "window  2 : galaxies  7\n",
      "starting angular cross power spectrum  7 ,  7 ... \n",
      "window  1 : kappa  8\n",
      "window  2 : kappa  8\n",
      "window  1 : kappa  8\n",
      "window  2 : galaxies  8\n",
      "window  1 : galaxies  8\n",
      "window  2 : galaxies  8\n",
      "starting angular cross power spectrum  8 ,  8 ... \n",
      "window  1 : kappa  9\n",
      "window  2 : kappa  9\n",
      "window  1 : kappa  9\n",
      "window  2 : galaxies  9\n",
      "window  1 : galaxies  9\n",
      "window  2 : galaxies  9\n",
      "starting angular cross power spectrum  9 ,  9 ... \n",
      "window  1 : kappa  10\n",
      "window  2 : kappa  10\n",
      "window  1 : kappa  10\n",
      "window  2 : galaxies  10\n",
      "window  1 : galaxies  10\n",
      "window  2 : galaxies  10\n",
      "starting angular cross power spectrum  10 ,  10 ... \n",
      "window  1 : kappa  11\n",
      "window  2 : kappa  11\n",
      "window  1 : kappa  11\n",
      "window  2 : galaxies  11\n",
      "window  1 : galaxies  11\n",
      "window  2 : galaxies  11\n",
      "starting angular cross power spectrum  11 ,  11 ... \n",
      "window  1 : kappa  12\n",
      "window  2 : kappa  12\n",
      "window  1 : kappa  12\n",
      "window  2 : galaxies  12\n",
      "window  1 : galaxies  12\n",
      "window  2 : galaxies  12\n",
      "building covariance matrix... \n",
      "starting covariance set  1  of  13 ... \n",
      "starting covariance set  2  of  13 ... \n",
      "starting covariance set  3  of  13 ... \n",
      "starting covariance set  4  of  13 ... \n",
      "starting covariance set  5  of  13 ... \n",
      "starting covariance set  6  of  13 ... \n",
      "starting covariance set  7  of  13 ... \n",
      "starting covariance set  8  of  13 ... \n",
      "starting covariance set  9  of  13 ... \n",
      "starting covariance set  10  of  13 ... \n",
      "starting covariance set  11  of  13 ... \n",
      "starting covariance set  12  of  13 ... \n",
      "starting covariance set  13  of  13 ... \n",
      "inverting covariance matrix... \n",
      "starting creation of C_l derivatives... \n",
      "starting derivative set  1  of  13 ... \n",
      "starting derivative set  2  of  13 ... \n",
      "starting derivative set  3  of  13 ... \n",
      "starting derivative set  4  of  13 ... \n",
      "starting derivative set  5  of  13 ... \n",
      "starting derivative set  6  of  13 ... \n",
      "starting derivative set  7  of  13 ... \n",
      "starting derivative set  8  of  13 ... \n",
      "starting derivative set  9  of  13 ... \n",
      "starting derivative set  10  of  13 ... \n",
      "starting derivative set  11  of  13 ... \n",
      "starting derivative set  12  of  13 ... \n",
      "starting derivative set  13  of  13 ... \n",
      "building Fisher matrix from components...\n",
      "invCov.shape:  (91, 91, 1999) , dClVecs.shape:  (91, 24, 1999)\n",
      "starting bin set  1  of  24\n",
      "starting bin set  2  of  24\n",
      "starting bin set  3  of  24\n",
      "starting bin set  4  of  24\n",
      "starting bin set  5  of  24\n",
      "starting bin set  6  of  24\n",
      "starting bin set  7  of  24\n",
      "starting bin set  8  of  24\n",
      "starting bin set  9  of  24\n",
      "starting bin set  10  of  24\n",
      "starting bin set  11  of  24\n",
      "starting bin set  12  of  24\n",
      "starting bin set  13  of  24\n",
      "starting bin set  14  of  24\n",
      "starting bin set  15  of  24\n",
      "starting bin set  16  of  24\n",
      "starting bin set  17  of  24\n",
      "starting bin set  18  of  24\n",
      "starting bin set  19  of  24\n",
      "starting bin set  20  of  24\n",
      "starting bin set  21  of  24\n",
      "starting bin set  22  of  24\n",
      "starting bin set  23  of  24\n",
      "starting bin set  24  of  24\n",
      "creation of Fisher Matrix complete!\n",
      "\n",
      "binAs:  [ 1.00205539  1.00135197  1.0012025   1.00113789  1.00110255  1.00108063\n",
      "  1.00106588  1.00105537  1.00104755  1.00104154  1.00103678  1.00103293]\n",
      "binBs:  [ 1.20659247  1.44438162  1.71564531  1.98730958  2.26437998  2.54602578\n",
      "  2.82121551  3.10026531  3.38370423  3.65896502  3.93850071  4.22298541]\n"
     ]
    }
   ],
   "source": [
    "# with doNorm = False, useWk = True in winGalaxies\n",
    "zmax = 4\n",
    "nBins = 12\n",
    "Fobj = fcl.FisherMatrix(zmax=zmax,nBins=nBins,noAs=True,doNorm=False,useWk=True)\n",
    "print 'binAs: ',Fobj.binAs\n",
    "print 'binBs: ',Fobj.binBs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# show that only the bb part of Fij is nonzero:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 189,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "quadrant AA:  [[ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]]\n",
      "quadrant Ab:  [[ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]]\n",
      "quadrant bA:  [[ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]]\n",
      "quadrant bb:  [[  5.77062491e+06   3.95883982e-02   1.75929612e-02   8.28895795e-03\n",
      "    4.18830242e-03   2.20970484e-03   1.20967641e-03   6.60469595e-04\n",
      "    3.24929072e-04   1.67701412e-04   5.67492631e-05   2.10503261e-06]\n",
      " [  3.95883982e-02   4.29633783e+06   1.09605435e-02   5.19355352e-03\n",
      "    2.63008761e-03   1.38928504e-03   7.61130880e-04   4.15829370e-04\n",
      "    2.04681643e-04   1.05685773e-04   3.57785441e-05   1.32784872e-06]\n",
      " [  1.75929612e-02   1.09605435e-02   3.05702066e+06   2.39540073e-03\n",
      "    1.21818476e-03   6.44957323e-04   3.53775189e-04   1.93384331e-04\n",
      "    9.52045888e-05   4.91571716e-05   1.66390728e-05   6.17339194e-07]\n",
      " [  8.28895795e-03   5.19355352e-03   2.39540073e-03   2.25453737e+06\n",
      "    5.87286607e-04   3.11661766e-04   1.71194496e-04   9.36513185e-05\n",
      "    4.61219220e-05   2.38179422e-05   8.06206873e-06   2.99081323e-07]\n",
      " [  4.18830242e-03   2.63008761e-03   1.21818476e-03   5.87286605e-04\n",
      "    1.71609528e+06   1.59906475e-04   8.79273410e-05   4.81318310e-05\n",
      "    2.37133715e-05   1.22487210e-05   4.14648013e-06   1.53830973e-07]\n",
      " [  2.20970484e-03   1.38928504e-03   6.44957323e-04   3.11661766e-04\n",
      "    1.59906476e-04   1.34221673e+06   4.68494547e-05   2.56562843e-05\n",
      "    1.26438158e-05   6.53237227e-06   2.21168640e-06   8.20627958e-08]\n",
      " [  1.20967641e-03   7.61130880e-04   3.53775190e-04   1.71194496e-04\n",
      "    8.79273406e-05   4.68494543e-05   1.08308794e+06   1.41363713e-05\n",
      "    6.96783771e-06   3.60034246e-06   1.21911065e-06   4.52402606e-08]\n",
      " [  6.60469595e-04   4.15829370e-04   1.93384330e-04   9.36513190e-05\n",
      "    4.81318303e-05   2.56562847e-05   1.41363710e-05   8.89570238e+05\n",
      "    3.82051975e-06   1.97430147e-06   6.68548576e-07   2.48113206e-08]\n",
      " [  3.24929075e-04   2.04681644e-04   9.52045885e-05   4.61219224e-05\n",
      "    2.37133720e-05   1.26438160e-05   6.96783756e-06   3.82051975e-06\n",
      "    7.38572724e+05   9.73970169e-07   3.29838046e-07   1.22413239e-08]\n",
      " [  1.67701418e-04   1.05685772e-04   4.91571708e-05   2.38179429e-05\n",
      "    1.22487214e-05   6.53237275e-06   3.60034217e-06   1.97430132e-06\n",
      "    9.73970168e-07   6.29970132e+05   1.70562591e-07   6.33068012e-09]\n",
      " [  5.67492600e-05   3.57785449e-05   1.66390735e-05   8.06206975e-06\n",
      "    4.14647969e-06   2.21168650e-06   1.21911029e-06   6.68548691e-07\n",
      "    3.29837852e-07   1.70562694e-07   5.38669304e+05   2.14516690e-09]\n",
      " [  2.10505013e-06   1.32784885e-06   6.17336912e-07   2.99080797e-07\n",
      "    1.53830040e-07   8.20624417e-08   4.52394420e-08   2.48106496e-08\n",
      "    1.22412785e-08   6.32981516e-09   2.14506757e-09   4.67226666e+05]]\n"
     ]
    }
   ],
   "source": [
    "nBins = Fobj.nBins\n",
    "print 'quadrant AA: ',Fobj.Fij[0:nBins,0:nBins]\n",
    "print 'quadrant Ab: ',Fobj.Fij[0:nBins,nBins:2*nBins]\n",
    "print 'quadrant bA: ',Fobj.Fij[nBins:2*nBins,0:nBins]\n",
    "print 'quadrant bb: ',Fobj.Fij[nBins:2*nBins,nBins:2*nBins]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# check power spectra"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 190,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "g_ 1  cross {k,g_i} at ell =  423 :  [  2.61156949e-13   7.97039617e-17   0.00000000e+00   0.00000000e+00\n",
      "   0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "   0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "   0.00000000e+00]\n",
      "g_ 2  cross {k,g_i} at ell =  423 :  [  8.73505417e-13   0.00000000e+00   3.79585871e-16   0.00000000e+00\n",
      "   0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "   0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "   0.00000000e+00]\n",
      "g_ 3  cross {k,g_i} at ell =  423 :  [  1.66736225e-12   0.00000000e+00   0.00000000e+00   1.04866747e-15\n",
      "   0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "   0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "   0.00000000e+00]\n",
      "g_ 4  cross {k,g_i} at ell =  423 :  [  2.41331947e-12   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "   2.12878221e-15   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "   0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "   0.00000000e+00]\n",
      "g_ 5  cross {k,g_i} at ell =  423 :  [  3.32995414e-12   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "   0.00000000e+00   4.00889943e-15   0.00000000e+00   0.00000000e+00\n",
      "   0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "   0.00000000e+00]\n",
      "g_ 6  cross {k,g_i} at ell =  423 :  [  3.95577900e-12   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "   0.00000000e+00   0.00000000e+00   6.31423251e-15   0.00000000e+00\n",
      "   0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "   0.00000000e+00]\n",
      "g_ 7  cross {k,g_i} at ell =  423 :  [  4.34907852e-12   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "   0.00000000e+00   0.00000000e+00   0.00000000e+00   8.97259717e-15\n",
      "   0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "   0.00000000e+00]\n",
      "g_ 8  cross {k,g_i} at ell =  423 :  [  4.77506567e-12   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "   0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "   1.25011642e-14   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "   0.00000000e+00]\n",
      "g_ 9  cross {k,g_i} at ell =  423 :  [  4.91485145e-12   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "   0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "   0.00000000e+00   1.59867873e-14   0.00000000e+00   0.00000000e+00\n",
      "   0.00000000e+00]\n",
      "g_ 10  cross {k,g_i} at ell =  423 :  [  5.77670007e-12   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "   0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "   0.00000000e+00   0.00000000e+00   2.29366195e-14   0.00000000e+00\n",
      "   0.00000000e+00]\n",
      "g_ 11  cross {k,g_i} at ell =  423 :  [  5.75471735e-12   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "   0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "   0.00000000e+00   0.00000000e+00   0.00000000e+00   2.75255681e-14\n",
      "   0.00000000e+00]\n",
      "g_ 12  cross {k,g_i} at ell =  423 :  [  6.44662267e-12   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "   0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "   0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "   3.66724444e-14]\n"
     ]
    }
   ],
   "source": [
    "myEll = 423\n",
    "for mapNum in range(nBins):\n",
    "    print 'g_',mapNum+1,' cross {k,g_i} at ell = ',myEll,': ',Fobj.crossCls[mapNum+1,:,myEll]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 191,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# ok, so g_i cross g_j is zero where it's supposed to be."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# check covar matrix... \n",
    "##  should have Cov(gigi,gjgj) = 0 where i!=j,\n",
    "##  should have Cov(kgi, kgj) always nonzero, \n",
    "##  should have Cov(kgi, gjgj) = 0 where i!=j"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 192,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "codes:  [   0.    1.    2.    3.    4.    5.    6.    7.    8.    9.   10.   11.\n",
      "   12.   14.   15.   16.   17.   18.   19.   20.   21.   22.   23.   24.\n",
      "   25.   28.   29.   30.   31.   32.   33.   34.   35.   36.   37.   38.\n",
      "   42.   43.   44.   45.   46.   47.   48.   49.   50.   51.   56.   57.\n",
      "   58.   59.   60.   61.   62.   63.   64.   70.   71.   72.   73.   74.\n",
      "   75.   76.   77.   84.   85.   86.   87.   88.   89.   90.   98.   99.\n",
      "  100.  101.  102.  103.  112.  113.  114.  115.  116.  126.  127.  128.\n",
      "  129.  140.  141.  142.  154.  155.  168.]\n",
      "map1 numbers: [  0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   1.   1.\n",
      "   1.   1.   1.   1.   1.   1.   1.   1.   1.   1.   2.   2.   2.   2.   2.\n",
      "   2.   2.   2.   2.   2.   2.   3.   3.   3.   3.   3.   3.   3.   3.   3.\n",
      "   3.   4.   4.   4.   4.   4.   4.   4.   4.   4.   5.   5.   5.   5.   5.\n",
      "   5.   5.   5.   6.   6.   6.   6.   6.   6.   6.   7.   7.   7.   7.   7.\n",
      "   7.   8.   8.   8.   8.   8.   9.   9.   9.   9.  10.  10.  10.  11.  11.\n",
      "  12.]\n",
      "map2 numbers: [  0.   1.   2.   3.   4.   5.   6.   7.   8.   9.  10.  11.  12.   1.   2.\n",
      "   3.   4.   5.   6.   7.   8.   9.  10.  11.  12.   2.   3.   4.   5.   6.\n",
      "   7.   8.   9.  10.  11.  12.   3.   4.   5.   6.   7.   8.   9.  10.  11.\n",
      "  12.   4.   5.   6.   7.   8.   9.  10.  11.  12.   5.   6.   7.   8.   9.\n",
      "  10.  11.  12.   6.   7.   8.   9.  10.  11.  12.   7.   8.   9.  10.  11.\n",
      "  12.   8.   9.  10.  11.  12.   9.  10.  11.  12.  10.  11.  12.  11.  12.\n",
      "  12.]\n"
     ]
    }
   ],
   "source": [
    "# get covar label codes\n",
    "obsList = Fobj.obsList\n",
    "covar = Fobj.covar\n",
    "print 'codes: ',obsList\n",
    "nMaps = nBins+1\n",
    "map1list = np.floor(obsList/nMaps)\n",
    "map2list = obsList%nMaps\n",
    "print 'map1 numbers:',map1list\n",
    "print 'map2 numbers:',map2list"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 193,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(array([ 0, 13, 25, 36, 46, 55, 63, 70, 76, 81, 85, 88, 90]),)\n",
      "[  0.   1.   2.   3.   4.   5.   6.   7.   8.   9.  10.  11.  12.]\n",
      "[  0.   1.   2.   3.   4.   5.   6.   7.   8.   9.  10.  11.  12.]\n"
     ]
    }
   ],
   "source": [
    "# find indices for gigi (and kk)\n",
    "myIndices = np.where(map1list == map2list)\n",
    "print myIndices\n",
    "print map1list[myIndices]\n",
    "print map2list[myIndices]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 194,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "roll ammount:  0 [[  2.97406960e-18   1.49300153e-35   3.38626166e-34   2.58449698e-33\n",
      "    1.06503260e-32   3.77703283e-32   9.37004281e-32   1.89206816e-31\n",
      "    3.67283444e-31   6.00651868e-31   1.23640074e-30   1.78062726e-30\n",
      "    3.16067727e-30]]\n",
      "roll ammount:  1 [[  9.76708432e-26   1.60288959e-28   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00]]\n",
      "roll ammount:  2 [[  7.78302509e-26   0.00000000e+00   1.79321202e-27   0.00000000e+00\n",
      "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00]]\n",
      "roll ammount:  3 [[  7.84260017e-26   0.00000000e+00   0.00000000e+00   6.53371770e-27\n",
      "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00]]\n",
      "roll ammount:  4 [[  5.67703050e-26   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    1.36876871e-26   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00]]\n",
      "roll ammount:  5 [[  5.35869617e-26   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00   2.60601518e-26   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00]]\n",
      "roll ammount:  6 [[  4.44523714e-26   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00   0.00000000e+00   3.67759988e-26   0.00000000e+00\n",
      "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00]]\n",
      "roll ammount:  7 [[  3.67759988e-26   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00   0.00000000e+00   0.00000000e+00   4.44523714e-26\n",
      "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00]]\n",
      "roll ammount:  8 [[  2.60601518e-26   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    5.35869617e-26   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00]]\n",
      "roll ammount:  9 [[  1.36876871e-26   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00   5.67703050e-26   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00]]\n",
      "roll ammount:  10 [[  6.53371770e-27   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00   0.00000000e+00   7.84260017e-26   0.00000000e+00\n",
      "    0.00000000e+00]]\n",
      "roll ammount:  11 [[  1.79321202e-27   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00   0.00000000e+00   0.00000000e+00   7.78302509e-26\n",
      "    0.00000000e+00]]\n",
      "roll ammount:  12 [[  1.60288959e-28   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    9.76708432e-26]]\n"
     ]
    }
   ],
   "source": [
    "# print the covariance for gigi gjgj  (and kk gjgj)\n",
    "myEll = 423\n",
    "for rollAmt in range(nMaps): # move array elements by this many places\n",
    "    rolledIndices = np.roll(myIndices,rollAmt)\n",
    "    print 'roll ammount: ',rollAmt, covar[myIndices,rolledIndices,myEll]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 195,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# one kappa stays at position 0 and the other rolls around.  looks good."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 196,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "map1 list:  [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      "map2 list:  [  1.   2.   3.   4.   5.   6.   7.   8.   9.  10.  11.  12.]\n",
      "covar2.shape:  (12, 12, 1999)\n"
     ]
    }
   ],
   "source": [
    "# next I want to check kgi kgj\n",
    "# get covar label codes\n",
    "obsList = Fobj.obsList\n",
    "covar = Fobj.covar\n",
    "#print 'codes: ',obsList\n",
    "nMaps = nBins+1\n",
    "map1list2 = np.floor(obsList/nMaps)\n",
    "map2list2 = obsList%nMaps\n",
    "#print 'map1 numbers:',map1list2\n",
    "#print 'map2 numbers:',map2list2\n",
    "\n",
    "# get the kg parts\n",
    "covar2 = covar[1:nBins+1,1:nBins+1,:] # the 0,0 part is kk\n",
    "map1list2 = map1list2[1:nBins+1]\n",
    "map2list2 = map2list2[1:nBins+1]\n",
    "print 'map1 list: ',map1list2\n",
    "print 'map2 list: ',map2list2\n",
    "print 'covar2.shape: ',covar2.shape\n",
    "#print covar2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 197,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "roll ammount:  0 [  3.41191971e-27   1.67640080e-26   4.71031278e-26   9.58309364e-26\n",
      "   1.80609598e-25   2.82334772e-25   3.97297592e-25   5.49365612e-25\n",
      "   6.96662876e-25   9.98006754e-25   1.18953555e-24   1.58181244e-24]\n",
      "roll ammount:  1 [  1.97835524e-27   2.68063466e-28   1.71145706e-27   4.72841104e-27\n",
      "   9.44329398e-27   1.54789221e-26   2.02162086e-26   2.44032145e-26\n",
      "   2.75778360e-26   3.33626589e-26   3.90637792e-26   4.35939968e-26]\n",
      "roll ammount:  2 [  1.76602165e-27   6.61710907e-27   5.11684182e-28   2.47714175e-27\n",
      "   6.52437115e-27   1.12180476e-26   1.70178990e-26   2.21963625e-26\n",
      "   2.51175968e-26   3.24137746e-26   3.32357002e-26   4.37605236e-26]\n",
      "roll ammount:  3 [  1.77276776e-27   5.90690573e-27   1.26308523e-26   7.40605347e-28\n",
      "   3.41801761e-27   7.75054828e-27   1.23333912e-26   1.86847823e-26\n",
      "   2.28461412e-26   2.95221178e-26   3.22904269e-26   3.72317189e-26]\n",
      "roll ammount:  4 [  1.50828156e-27   5.92946981e-27   1.12752039e-26   1.82817391e-26\n",
      "   1.02190442e-27   4.06039293e-27   8.52113909e-27   1.35414324e-26\n",
      "   1.92317626e-26   2.68523488e-26   2.94097740e-26   3.61727927e-26]\n",
      "roll ammount:  5 [  1.46538376e-27   5.04482887e-27   1.13182746e-26   1.63195904e-26\n",
      "   2.52255674e-26   1.21395908e-27   4.46409360e-27   9.35577469e-27\n",
      "   1.39378457e-26   2.26041673e-26   2.67501646e-26   3.29457911e-26]\n",
      "roll ammount:  6 [  1.33465579e-27   4.90134634e-27   9.62965662e-27   1.63819304e-26\n",
      "   2.25181491e-26   2.99664096e-26   1.33465579e-27   4.90134634e-27\n",
      "   9.62965662e-27   1.63819304e-26   2.25181491e-26   2.99664096e-26]\n",
      "roll ammount:  7 [  1.21395908e-27   4.46409360e-27   9.35577469e-27   1.39378457e-26\n",
      "   2.26041673e-26   2.67501646e-26   3.29457911e-26   1.46538376e-27\n",
      "   5.04482887e-27   1.13182746e-26   1.63195904e-26   2.52255674e-26]\n",
      "roll ammount:  8 [  1.02190442e-27   4.06039293e-27   8.52113909e-27   1.35414324e-26\n",
      "   1.92317626e-26   2.68523488e-26   2.94097740e-26   3.61727927e-26\n",
      "   1.50828156e-27   5.92946981e-27   1.12752039e-26   1.82817391e-26]\n",
      "roll ammount:  9 [  7.40605347e-28   3.41801761e-27   7.75054828e-27   1.23333912e-26\n",
      "   1.86847823e-26   2.28461412e-26   2.95221178e-26   3.22904269e-26\n",
      "   3.72317189e-26   1.77276776e-27   5.90690573e-27   1.26308523e-26]\n",
      "roll ammount:  10 [  5.11684182e-28   2.47714175e-27   6.52437115e-27   1.12180476e-26\n",
      "   1.70178990e-26   2.21963625e-26   2.51175968e-26   3.24137746e-26\n",
      "   3.32357002e-26   4.37605236e-26   1.76602165e-27   6.61710907e-27]\n",
      "roll ammount:  11 [  2.68063466e-28   1.71145706e-27   4.72841104e-27   9.44329398e-27\n",
      "   1.54789221e-26   2.02162086e-26   2.44032145e-26   2.75778360e-26\n",
      "   3.33626589e-26   3.90637792e-26   4.35939968e-26   1.97835524e-27]\n"
     ]
    }
   ],
   "source": [
    "myIndices = np.arange(nBins)\n",
    "for rollAmt in range(nMaps-1): # move array elements by this many places\n",
    "    rolledIndices = np.roll(myIndices,rollAmt)\n",
    "    print 'roll ammount: ',rollAmt, covar2[myIndices,rolledIndices,myEll]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 198,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# all kgi gkj are nonzero, as expected.\n",
    "# and yet... this is harder to interpret, since it is only one of two terms cancels when i!=j"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 199,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "kk and gigi indices:  (array([ 0, 13, 25, 36, 46, 55, 63, 70, 76, 81, 85, 88, 90]),)\n",
      "[  0.   1.   2.   3.   4.   5.   6.   7.   8.   9.  10.  11.  12.]\n",
      "[  0.   1.   2.   3.   4.   5.   6.   7.   8.   9.  10.  11.  12.]\n",
      "kk and kgi indices:  [ 0  1  2  3  4  5  6  7  8  9 10 11 12]\n",
      "[ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      "[  0.   1.   2.   3.   4.   5.   6.   7.   8.   9.  10.  11.  12.]\n",
      "roll ammount:  0 [[  2.97406960e-18   4.89194911e-32   7.79248683e-31   4.10930330e-30\n",
      "    1.20738697e-29   3.13735635e-29   5.87020173e-29   9.17098230e-29\n",
      "    1.40291140e-28   1.84659659e-28   3.11393587e-28   3.72272301e-28\n",
      "    5.55613187e-28]]\n",
      "roll ammount:  1 [[  5.38961859e-22   1.60288959e-28   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00]]\n",
      "roll ammount:  2 [[  4.81115977e-22   0.00000000e+00   1.79321202e-27   0.00000000e+00\n",
      "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00]]\n",
      "roll ammount:  3 [[  4.82953815e-22   0.00000000e+00   0.00000000e+00   6.53371770e-27\n",
      "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00]]\n",
      "roll ammount:  4 [[  4.10900035e-22   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    1.36876871e-26   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00]]\n",
      "roll ammount:  5 [[  3.99213419e-22   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00   2.60601518e-26   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00]]\n",
      "roll ammount:  6 [[  3.63599294e-22   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00   0.00000000e+00   3.67759988e-26   0.00000000e+00\n",
      "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00]]\n",
      "roll ammount:  7 [[  3.30717977e-22   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00   0.00000000e+00   0.00000000e+00   4.44523714e-26\n",
      "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00]]\n",
      "roll ammount:  8 [[  2.78396669e-22   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    5.35869617e-26   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00]]\n",
      "roll ammount:  9 [[  2.01762569e-22   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00   5.67703050e-26   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00]]\n",
      "roll ammount:  10 [[  1.39397745e-22   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00   0.00000000e+00   7.84260017e-26   0.00000000e+00\n",
      "    0.00000000e+00]]\n",
      "roll ammount:  11 [[  7.30283326e-23   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00   0.00000000e+00   0.00000000e+00   7.78302509e-26\n",
      "    0.00000000e+00]]\n",
      "roll ammount:  12 [[  2.18337015e-23   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    9.76708432e-26]]\n"
     ]
    }
   ],
   "source": [
    "# now do kgi gjgj ; should be zero when i!=j\n",
    "\n",
    "# start with kk ang gigi\n",
    "myIndices = np.where(map1list == map2list)\n",
    "print 'kk and gigi indices: ',myIndices\n",
    "print map1list[myIndices]\n",
    "print map2list[myIndices]\n",
    "\n",
    "# next get kk ang kgi\n",
    "myOtherIndices = np.arange(nMaps)\n",
    "print 'kk and kgi indices: ',myOtherIndices\n",
    "print map1list[myOtherIndices]\n",
    "print map2list[myOtherIndices]\n",
    "\n",
    "for rollAmt in range(nMaps): # move array elements by this many places\n",
    "    rolledIndices = np.roll(myOtherIndices,rollAmt)\n",
    "    print 'roll ammount: ',rollAmt, covar[myIndices,rolledIndices,myEll]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 200,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# ok. looks good."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 201,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# These tests have confirmed the expectations above:\n",
    "#  should have Cov(gigi,gjgj) = 0 where i!=j,\n",
    "#  should have Cov(kgi, kgj) always nonzero, \n",
    "#  should have Cov(kgi, gjgj) = 0 where i!=j\n",
    "\n",
    "# the other 3 cases involve (kk), but since dCl^kk/db = 0, these don't matter at this point"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# now what about invCov?  \n",
    "That's what is actually used in the calculations!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# check dCl/db Vectors"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 202,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(91, 24, 1999)\n",
      "(91, 12, 1999)\n",
      "(91, 12, 1999)\n",
      "dClVecsA not zero at:  (array([], dtype=int64), array([], dtype=int64), array([], dtype=int64))\n"
     ]
    }
   ],
   "source": [
    "dClVecs = Fobj.dClVecs\n",
    "print dClVecs.shape\n",
    "dClVecsA = dClVecs[:,:nBins,:]\n",
    "dClVecsb = dClVecs[:,nBins:,:]\n",
    "print dClVecsA.shape\n",
    "print dClVecsb.shape\n",
    "print 'dClVecsA not zero at: ',np.where(dClVecsA != 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 203,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# ok, derivatives wrt A are all zero, as expected"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 204,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[  0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   1.   1.\n",
      "   1.   1.   1.   1.   1.   1.   1.   1.   1.   1.   2.   2.   2.   2.   2.\n",
      "   2.   2.   2.   2.   2.   2.   3.   3.   3.   3.   3.   3.   3.   3.   3.\n",
      "   3.   4.   4.   4.   4.   4.   4.   4.   4.   4.   5.   5.   5.   5.   5.\n",
      "   5.   5.   5.   6.   6.   6.   6.   6.   6.   6.   7.   7.   7.   7.   7.\n",
      "   7.   8.   8.   8.   8.   8.   9.   9.   9.   9.  10.  10.  10.  11.  11.\n",
      "  12.]\n",
      "[  0.   1.   2.   3.   4.   5.   6.   7.   8.   9.  10.  11.  12.   1.   2.\n",
      "   3.   4.   5.   6.   7.   8.   9.  10.  11.  12.   2.   3.   4.   5.   6.\n",
      "   7.   8.   9.  10.  11.  12.   3.   4.   5.   6.   7.   8.   9.  10.  11.\n",
      "  12.   4.   5.   6.   7.   8.   9.  10.  11.  12.   5.   6.   7.   8.   9.\n",
      "  10.  11.  12.   6.   7.   8.   9.  10.  11.  12.   7.   8.   9.  10.  11.\n",
      "  12.   8.   9.  10.  11.  12.   9.  10.  11.  12.  10.  11.  12.  11.  12.\n",
      "  12.]\n"
     ]
    }
   ],
   "source": [
    "print map1list\n",
    "print map2list"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 205,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 0  1  2  3  4  5  6  7  8  9 10 11 12]\n",
      "(91, 12, 1999)\n",
      "[[  0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00]\n",
      " [  2.16662794e-13   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00]\n",
      " [  0.00000000e+00   6.04953571e-13   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00]\n",
      " [  0.00000000e+00   0.00000000e+00   9.72021830e-13   0.00000000e+00\n",
      "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00]\n",
      " [  0.00000000e+00   0.00000000e+00   0.00000000e+00   1.21449246e-12\n",
      "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00]\n",
      " [  0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    1.47068326e-12   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00]\n",
      " [  0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00   1.55378140e-12   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00]\n",
      " [  0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00   0.00000000e+00   1.54161271e-12   0.00000000e+00\n",
      "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00]\n",
      " [  0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00   0.00000000e+00   0.00000000e+00   1.54024648e-12\n",
      "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00]\n",
      " [  0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    1.45252744e-12   0.00000000e+00   0.00000000e+00   0.00000000e+00]\n",
      " [  0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00   1.57879338e-12   0.00000000e+00   0.00000000e+00]\n",
      " [  0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00   0.00000000e+00   1.46114979e-12   0.00000000e+00]\n",
      " [  0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "    0.00000000e+00   0.00000000e+00   0.00000000e+00   1.52655600e-12]]\n"
     ]
    }
   ],
   "source": [
    "# start with kk, kg1, kg2, etc.\n",
    "myEll = 423\n",
    "myIndices = np.arange(13)\n",
    "print myIndices\n",
    "print dClVecsb.shape\n",
    "print dClVecsb[myIndices,:,myEll]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 206,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# all as expected; zeros except when dCl^kgi/dbj have matching i,j"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 207,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[  0.   1.   2.   3.   4.   5.   6.   7.   8.   9.  10.  11.  12.]\n",
      "[  0.   1.   2.   3.   4.   5.   6.   7.   8.   9.  10.  11.  12.]\n",
      "[  0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   1.   1.   1.\n",
      "   1.   1.   1.   1.   1.   1.   1.   1.   2.   2.   2.   2.   2.   2.   2.\n",
      "   2.   2.   2.   3.   3.   3.   3.   3.   3.   3.   3.   3.   4.   4.   4.\n",
      "   4.   4.   4.   4.   4.   5.   5.   5.   5.   5.   5.   5.   6.   6.   6.\n",
      "   6.   6.   6.   7.   7.   7.   7.   7.   8.   8.   8.   8.   9.   9.   9.\n",
      "  10.  10.  11.]\n",
      "[  1.   2.   3.   4.   5.   6.   7.   8.   9.  10.  11.  12.   2.   3.   4.\n",
      "   5.   6.   7.   8.   9.  10.  11.  12.   3.   4.   5.   6.   7.   8.   9.\n",
      "  10.  11.  12.   4.   5.   6.   7.   8.   9.  10.  11.  12.   5.   6.   7.\n",
      "   8.   9.  10.  11.  12.   6.   7.   8.   9.  10.  11.  12.   7.   8.   9.\n",
      "  10.  11.  12.   8.   9.  10.  11.  12.   9.  10.  11.  12.  10.  11.  12.\n",
      "  11.  12.  12.]\n"
     ]
    }
   ],
   "source": [
    "# find indices for gigi (and kk)\n",
    "myIndices = np.where(map1list == map2list)\n",
    "myOtherIndices = np.where(map1list != map2list)\n",
    "print map1list[myIndices]\n",
    "print map2list[myIndices]\n",
    "print map1list[myOtherIndices]\n",
    "print map2list[myOtherIndices]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 208,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(array([ 0, 13, 25, 36, 46, 55, 63, 70, 76, 81, 85, 88, 90]),)\n",
      "(91, 12, 1999)\n",
      "[[[  0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "     0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "     0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00]\n",
      "  [  1.32114137e-16   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "     0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "     0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00]\n",
      "  [  0.00000000e+00   5.25603298e-16   0.00000000e+00   0.00000000e+00\n",
      "     0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "     0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00]\n",
      "  [  0.00000000e+00   0.00000000e+00   1.22247584e-15   0.00000000e+00\n",
      "     0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "     0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00]\n",
      "  [  0.00000000e+00   0.00000000e+00   0.00000000e+00   2.14237604e-15\n",
      "     0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "     0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00]\n",
      "  [  0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "     3.54083631e-15   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "     0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00]\n",
      "  [  0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "     0.00000000e+00   4.96006958e-15   0.00000000e+00   0.00000000e+00\n",
      "     0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00]\n",
      "  [  0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "     0.00000000e+00   0.00000000e+00   6.36080238e-15   0.00000000e+00\n",
      "     0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00]\n",
      "  [  0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "     0.00000000e+00   0.00000000e+00   0.00000000e+00   8.06457700e-15\n",
      "     0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00]\n",
      "  [  0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "     0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "     9.44928177e-15   0.00000000e+00   0.00000000e+00   0.00000000e+00]\n",
      "  [  0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "     0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "     0.00000000e+00   1.25372171e-14   0.00000000e+00   0.00000000e+00]\n",
      "  [  0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "     0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "     0.00000000e+00   0.00000000e+00   1.39776885e-14   0.00000000e+00]\n",
      "  [  0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "     0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
      "     0.00000000e+00   0.00000000e+00   0.00000000e+00   1.73680185e-14]]]\n"
     ]
    }
   ],
   "source": [
    "# print the derivatives for gigi (and kk)\n",
    "myEll = 423\n",
    "print myIndices\n",
    "print dClVecsb.shape\n",
    "print dClVecsb[myIndices,:,myEll]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 209,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# all as expected; zeros except when dCl^gigi/dbj have matching i,j"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 210,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 1  2  3  4  5  6  7  8  9 10 11 12 14 15 16 17 18 19 20 21 22 23 24 26 27\n",
      " 28 29 30 31 32 33 34 35 37 38 39 40 41 42 43 44 45 47 48 49 50 51 52 53 54\n",
      " 56 57 58 59 60 61 62 64 65 66 67 68 69 71 72 73 74 75 77 78 79 80 82 83 84\n",
      " 86 87 89]\n",
      "[  1.   1.   1.   1.   1.   1.   1.   1.   1.   1.   1.   2.   2.   2.   2.\n",
      "   2.   2.   2.   2.   2.   2.   3.   3.   3.   3.   3.   3.   3.   3.   3.\n",
      "   4.   4.   4.   4.   4.   4.   4.   4.   5.   5.   5.   5.   5.   5.   5.\n",
      "   6.   6.   6.   6.   6.   6.   7.   7.   7.   7.   7.   8.   8.   8.   8.\n",
      "   9.   9.   9.  10.  10.  11.]\n",
      "[  2.   3.   4.   5.   6.   7.   8.   9.  10.  11.  12.   3.   4.   5.   6.\n",
      "   7.   8.   9.  10.  11.  12.   4.   5.   6.   7.   8.   9.  10.  11.  12.\n",
      "   5.   6.   7.   8.   9.  10.  11.  12.   6.   7.   8.   9.  10.  11.  12.\n",
      "   7.   8.   9.  10.  11.  12.   8.   9.  10.  11.  12.   9.  10.  11.  12.\n",
      "  10.  11.  12.  11.  12.  12.]\n",
      "(91, 12, 1999)\n",
      "[[ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]]\n"
     ]
    }
   ],
   "source": [
    "# now gigj\n",
    "print myOtherIndices[0]\n",
    "kgiIndices = myOtherIndices[0][12:]\n",
    "print map1list[kgiIndices]\n",
    "print map2list[kgiIndices]\n",
    "print dClVecsb.shape\n",
    "print dClVecsb[kgiIndices,:,myEll]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 211,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# ok, all zero as expected."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# check against simple analytic model"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "With no variability in the A parameters, and assuming that the major contributions to the Fisher matrix are from\n",
    "the $Cov(C_\\ell^{g_i g_i} C_\\ell^{g_i g_i})$ parts, the Fisher matrix becomes diagonal, with elements:\n",
    "    $F_{ii} = \\Sigma_\\ell \\frac{2}{b_i^2}(2\\ell +1)$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 212,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "bs:  [ 1.20659247  1.44438162  1.71564531  1.98730958  2.26437998  2.54602578\n",
      "  2.82121551  3.10026531  3.38370423  3.65896502  3.93850071  4.22298541]\n",
      "2/bs**2:  [ 1.37375337  0.95866327  0.67947735  0.50640612  0.39005997  0.30853498\n",
      "  0.25127974  0.20808093  0.17468081  0.14938723  0.1289342   0.11214782]\n"
     ]
    }
   ],
   "source": [
    "myBs = Fobj.binBs\n",
    "print 'bs: ',myBs\n",
    "print '2/bs**2: ',2/myBs**2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 213,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Sigma_ell 2ell+1 =  4003997.0\n",
      "Fii =  [ 5500504.37662521  3838484.86798418  2720625.26029674  2027648.57590262\n",
      "  1561798.94196543  1235373.11705179  1006123.31602016   833155.40574199\n",
      "   699421.45491843   598146.02898809   516252.16160162   449039.53232835]\n",
      "inverse:  [  1.81801510e-07   2.60519459e-07   3.67562565e-07   4.93182109e-07\n",
      "   6.40287282e-07   8.09472042e-07   9.93913951e-07   1.20025627e-06\n",
      "   1.42975311e-06   1.67183255e-06   1.93703789e-06   2.22697542e-06]\n",
      "sqrt of inv:  [ 0.00042638  0.00051041  0.00060627  0.00070227  0.00080018  0.00089971\n",
      "  0.00099695  0.00109556  0.00119572  0.00129299  0.00139178  0.00149231]\n"
     ]
    }
   ],
   "source": [
    "ells = Fobj.ells\n",
    "myEllFac = np.sum(ells*2+1)\n",
    "print 'Sigma_ell 2ell+1 = ',myEllFac\n",
    "Fii = 2/myBs**2 * myEllFac\n",
    "print 'Fii = ',Fii\n",
    "print 'inverse: ',1/Fii\n",
    "print 'sqrt of inv: ',np.sqrt(1/Fii)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 214,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 0.16666667  0.5         0.83333333  1.16666667  1.5         1.83333333\n",
      "  2.16666667  2.5         2.83333333  3.16666667  3.5         3.83333333]\n"
     ]
    },
    {
     "data": {
      "image/png": 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saLHQJyx/CGaAuxSwMdPPKQS+8P1inHPpZrbbzC4K7J+XKW5TYF+wmuMVJxHJ5zZsgLZt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\n/fSx4xJb9m6hx8weXNP/Grb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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1195f9dd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "zs = Fobj.getBinCenters()\n",
    "print zs\n",
    "sigmas0 = np.sqrt(1/Fii)\n",
    "plt.plot(zs,sigmas0)\n",
    "\n",
    "nBins = Fobj.nBins\n",
    "fFinv = np.linalg.inv(Fobj.Fij[nBins:2*nBins,nBins:2*nBins])\n",
    "FisherSigmas = np.sqrt(np.diag(fFinv))\n",
    "\n",
    "plt.plot(zs,FisherSigmas);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "That looks fine. Next try to reprodue curves shown in box labeled '3.', that involves large redshift bins and extends to z=100"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 230,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "30\n"
     ]
    }
   ],
   "source": [
    "# fiducial b values from run 3.\n",
    "zmax = 100\n",
    "nBins1 = 2\n",
    "bs1 = [  4.78025587,  44.31489311]\n",
    "nBins2 = 4\n",
    "bs2 = [  4.77984912,  23.39989002,  44.3250509,   65.29992673]\n",
    "nBins3 = 8\n",
    "bs3 = [  4.69196618,  13.04175196,  23.39973432,  33.85103354,  44.32650791,\n",
    "  54.81175302,  65.30190638,  75.79487167]\n",
    "nBins4 = 16\n",
    "bs4 = [  3.88384657,   7.8120204,   12.88322643,  18.06748765,  23.28365343,\n",
    "  28.51314436,  33.74944747,  38.9896962,   44.23243343,  49.47684048,\n",
    "  54.72242215,  59.96886135,  65.21594565,  70.46352743,  75.7115009,\n",
    "  80.95978827]\n",
    "\n",
    "# use newer bs than those:\n",
    "print fidBs3.size\n",
    "bs1 = fidBs3[0:2]\n",
    "bs2 = fidBs3[2:6]\n",
    "bs3 = fidBs3[6:14]\n",
    "bs4 = fidBs3[14:30]\n",
    "\n",
    "# function copied from FisherMatrix:\n",
    "def getBinCenters(zmax,zmin,nBins,dndzMode=2):\n",
    "    \"\"\"\n",
    "      return array of centers of bins\n",
    "    \"\"\"\n",
    "    if dndzMode == 1:\n",
    "      return (0.3,0.5,0.7,0.9,1.1)\n",
    "    elif dndzMode == 2:\n",
    "      halfBinWidth = (zmax-zmin)/(2*nBins)\n",
    "      nHalfBins = (2*np.arange(nBins)+1)\n",
    "      return halfBinWidth*nHalfBins+zmin\n",
    "    else:\n",
    "      print 'die screaming'\n",
    "      return 0\n",
    "    \n",
    "zs1 = getBinCenters(zmax,0,nBins1)\n",
    "zs2 = getBinCenters(zmax,0,nBins2)\n",
    "zs3 = getBinCenters(zmax,0,nBins3)\n",
    "zs4 = getBinCenters(zmax,0,nBins4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 231,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Sigma_ell 2ell+1 =  3999996\n",
      "Fii =  [ 350096.09438971    4073.71029339]\n",
      "inverse:  [  2.85635863e-06   2.45476464e-04]\n",
      "sqrt of inv:  [ 0.00169008  0.01566769]\n",
      "Sigma_ell 2ell+1 =  3999996\n",
      "Fii =  [ 350155.68138258   14610.39374525    4071.84339788    1876.13534255]\n",
      "inverse:  [  2.85587255e-06   6.84444251e-05   2.45589013e-04   5.33010587e-04]\n",
      "sqrt of inv:  [ 0.00168993  0.00827311  0.01567128  0.02308702]\n",
      "Sigma_ell 2ell+1 =  3999996\n",
      "Fii =  [ 363395.71927809   47034.62442104   14610.58817497    6981.45087351\n",
      "    4071.5757195     2662.82219655    1876.02159317    1392.54714986]\n",
      "inverse:  [  2.75182108e-06   2.12609330e-05   6.84435143e-05   1.43236702e-04\n",
      "   2.45605159e-04   3.75541409e-04   5.33042905e-04   7.18108540e-04]\n",
      "sqrt of inv:  [ 0.00165886  0.00461096  0.00827306  0.01196815  0.01567179  0.01937889\n",
      "  0.02308772  0.02679755]\n",
      "Sigma_ell 2ell+1 =  3999996\n",
      "Fii =  [ 530353.47943813  131087.96313157   48199.24920951   24507.21833055\n",
      "   14756.63380401    9840.09580693    7023.54255861    5262.47262987\n",
      "    4088.91316403    3268.02699865    2671.52306742    2224.5283614\n",
      "    1880.97039688    1611.24206672    1395.6156836     1220.53665114]\n",
      "inverse:  [  1.88553491e-06   7.62846547e-06   2.07472111e-05   4.08043045e-05\n",
      "   6.77661324e-05   1.01625027e-04   1.42378293e-04   1.90024741e-04\n",
      "   2.44563765e-04   3.05995024e-04   3.74318310e-04   4.49533491e-04\n",
      "   5.31640478e-04   6.20639208e-04   7.16529638e-04   8.19311734e-04]\n",
      "sqrt of inv:  [ 0.00137315  0.00276197  0.00455491  0.00638782  0.00823202  0.01008092\n",
      "  0.01193224  0.01378495  0.01563853  0.01749271  0.01934731  0.0212022\n",
      "  0.02305733  0.02491263  0.02676807  0.02862362]\n"
     ]
    }
   ],
   "source": [
    "# convert to sigmas\n",
    "ells = np.arange(2,2000)\n",
    "def getSimpleSigmas(ells,myBs):\n",
    "    myBs = np.array(myBs)\n",
    "    myEllFac = np.sum(ells*2+1)\n",
    "    print 'Sigma_ell 2ell+1 = ',myEllFac\n",
    "    Fii = 2/myBs**2 * myEllFac\n",
    "    print 'Fii = ',Fii\n",
    "    print 'inverse: ',1/Fii\n",
    "    print 'sqrt of inv: ',np.sqrt(1/Fii)\n",
    "    return np.sqrt(1/Fii)\n",
    "sigmas1 = getSimpleSigmas(ells,bs1)\n",
    "sigmas2 = getSimpleSigmas(ells,bs2)\n",
    "sigmas3 = getSimpleSigmas(ells,bs3)\n",
    "sigmas4 = getSimpleSigmas(ells,bs4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 232,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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5L5STI/LiiyING4p84/zXvcvtkvdWvyf13qonk0Mni9vtdlxnacvOFnntNZF6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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11b6db890>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(zs1,sigmas1)\n",
    "plt.plot(zs2,sigmas2)\n",
    "plt.plot(zs3,sigmas3)\n",
    "plt.plot(zs4,sigmas4);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This looks a lot like the plot in 3."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Q: Why does the line move upward with increasing nBins?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Is there something wrong with my calcultion for fiducual biases?  Try alternate method."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 233,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "zs = np.linspace(0,100)\n",
    "bye = cp.byeBiasFit()\n",
    "bs = bye(zs)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 234,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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ea4N9e8x2ei/rzc+RP9OhWYfqbo74C+m5i6uSJd9C/BvxxH+QzJeNXTjt1Y6f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\nd865BPLk7pxzCeTJ3TnnEugHCFrrBC8V7JUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11a8d8e90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(zs,bs)\n",
    "plt.plot(zs1,bs1)\n",
    "plt.plot(zs2,bs2)\n",
    "plt.plot(zs3,bs3)\n",
    "plt.plot(zs4,bs4);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 235,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Having more (or smaller?) bins gets closer to what the fiducial bias (blue line) is supposed to be.\n",
    "# what's happening with larger (or fewer?) bins?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 236,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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AncAWoDcitkpaLenStNhaYJqkPuCjwODtnv8ITJG0GXgAWJv98s9yF5CZWXPk6QIiIu4A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\n1P8HhrQHsW4WXJAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1198de490>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# check dNdz\n",
    "z0 = 1.5\n",
    "dndz = cp.modelDNDZ(zs,z0)\n",
    "plt.plot(zs,dndz);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 237,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# The large bins will have a big difference in bias across the first bin, \n",
    "# resulting in a higher weighting at lower redshift.\n",
    "# Smaller bins will not be affected by having a big change in weight across each bin, \n",
    "# thus the weighting will be more uniform."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
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  {
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   "cell_type": "markdown",
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   "source": [
    "# define a function that will calculate the full F_ijl\n",
    "Caluclate Fisher matrix for special simplified case of:\n",
    "                nonoverlapping redshift bins\n",
    "                dN/dz = WinK"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## the following function assumes that the covariance matrix of the observables is diagonal\n",
    "## however, it actually is not.\n",
    "## Q: how does this change the analysis?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 238,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "nBins, nElls:  12 1999\n",
      "ells:  [    2.     3.     4. ...,  1998.  1999.  2000.]\n"
     ]
    }
   ],
   "source": [
    "# this needs three things, probably from Fobj\n",
    "# what are the properties of the current Fobj?\n",
    "\n",
    "def getFijl(biases,crossCls,ells):\n",
    "    \"\"\"\n",
    "        Purpose:\n",
    "            Caluclate Fisher matrix for special simplified case of:\n",
    "                nonoverlapping redshift bins\n",
    "                dN/dz = WinK\n",
    "        Note: to calculate Full Fij, sum Fijl over l\n",
    "        Inputs:\n",
    "            biases: the fiducial biases used in the calculation for each bin\n",
    "            crossCls: all cross power spectra, implemented as in FisherMatrix.crossCls\n",
    "                has shape (nMaps,nMaps,lmax-1)  where -1 is to omit ell=1\n",
    "                Kappa map is in 0 position, galaxy maps are in order after that\n",
    "            ells: the ell values to include in array\n",
    "        Returns:\n",
    "            a 3 dimensional array (nBins,nBins,nElls)\n",
    "    \"\"\"\n",
    "    nBins = biases.__len__()\n",
    "    nElls = ells.__len__()\n",
    "    print 'nBins, nElls: ',nBins,nElls\n",
    "    print 'ells: ',ells\n",
    "    \n",
    "    # create array of zeros\n",
    "    Fijl = np.zeros((nBins,nBins,nElls))\n",
    "    \n",
    "    # pull out some needed cross spectra\n",
    "    Ckk = crossCls[0,0,:]\n",
    "    \n",
    "    # fill up array via loops\n",
    "    for i in range(nBins):\n",
    "        Cgigi = crossCls[i+1,i+1,:] # +1 since crossCls includes kappa, but Fij does not\n",
    "        Ckgi  = crossCls[0  ,i+1,:]\n",
    "        for j in range(nBins):\n",
    "            Cgjgj = crossCls[j+1,j+1,:]\n",
    "            Cgigj = crossCls[i+1,j+1,:]\n",
    "            Ckgj  = crossCls[0  ,j+1,:]\n",
    "            for ellI in range(nElls):\n",
    "                ell = ellI+2 # since ell=0,1 not included\n",
    "                # the gigi gjgj part\n",
    "                if i == j:\n",
    "                    Fijl[i,j,ellI] += 2./biases[i]**2 *(2*ell+1)\n",
    "                # the kgi kgj part\n",
    "                Fijl[i,j,ellI] += Cgigi[ellI]/biases[i]**2 * Cgjgj[ellI]/biases[j]**2 * \\\n",
    "                    (2*ell+1)/(Ckk[ellI]*Cgigj[ellI] + Ckgj[ellI]*Ckgi[ellI])\n",
    "                # the kgi gjgj part\n",
    "                if i == j:\n",
    "                    Fijl[i,j,ellI] += 2.*(2*ell+1)/biases[i]**3 * Cgigi[ellI]/Ckgi[ellI]\n",
    "                # the kk kgj, kk gjgj, and kk kk parts are all zero, since dCl^kk/db = 0 \n",
    "    \n",
    "    return Fijl\n",
    "\n",
    "Fijl = getFijl(Fobj.binBs,Fobj.crossCls,Fobj.ells)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
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   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 239,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ss:  [ 90.   22.5]\n",
      "s :  [ 5501903.26540866  3839634.80613067  2721618.53585074  2028546.94688091\n",
      "  1562628.1407287   1236147.93490687  1006859.40725066   833859.02578579\n",
      "   700093.745569     598795.02381791   516879.07564341   449644.38836287]\n"
     ]
    },
    {
     "data": {
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lRPc72fhQb66Zt4VyPoXiRDfRoIF3fWLhQhUKkYyos5A8ZfW34yl09724CqU4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\nmfp/7lgt9Mq6i6MAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1198b9310>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# invert and plot sigmas from diagonals\n",
    "Finv = np.linalg.inv(Fij)\n",
    "fFinv = np.linalg.inv(firstFij)\n",
    "\n",
    "# compare to simplified simple model\n",
    "print 'ss: ', Fii\n",
    "print 's : ', np.diag(Fij)\n",
    "\n",
    "sigmas1 = np.sqrt(np.diag(fFinv))\n",
    "sigmas2 = np.sqrt(np.diag(Finv))\n",
    "zs = Fobj.getBinCenters()\n",
    "plt.plot(zs,sigmas1) # from full FisherMatrix object\n",
    "plt.plot(zs,sigmas2) # from simple model function getFijl\n",
    "plt.plot(zs,sigmas0) # from simplified simple model, above\n",
    "plt.xlabel('redshift');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 240,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# full FisherMatrix method is mismatched from both simple methods\n",
    "# however, the two simple methods align quite nicely with each other."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 241,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ells:  [2 3 4 5 6]\n",
      "biases:  [1 2]\n",
      "\\Sigma_ell 2ell+1 =  45\n",
      "Fii =  [ 90.   22.5]\n",
      "inverse:  [ 0.01111111  0.04444444]\n",
      "sqrt of inv:  [ 0.10540926  0.21081851]\n",
      "nBins, nElls:  2 5\n",
      "ells:  [2 3 4 5 6]\n",
      "Fii2 =  [[ nan  nan]\n",
      " [ nan  nan]]\n",
      "inverse:  [[ nan  nan]\n",
      " [ nan  nan]]\n",
      "sqrt of inv:  [ nan  nan]\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/sw/lib/python2.7/site-packages/ipykernel/__main__.py:45: RuntimeWarning: invalid value encountered in double_scalars\n",
      "/sw/lib/python2.7/site-packages/ipykernel/__main__.py:48: RuntimeWarning: invalid value encountered in double_scalars\n"
     ]
    }
   ],
   "source": [
    "# do a simpler case to troubleshoot\n",
    "nElls = 5\n",
    "ells = np.arange(2,nElls+2)\n",
    "print 'ells: ',ells\n",
    "nBins = 2\n",
    "bias = np.arange(nBins)+1\n",
    "print 'biases: ',bias\n",
    "crossCls = np.zeros((nBins+1,nBins+1,nElls)) #since I'm not using crossCls here\n",
    "# actually in the full version of getFijl I do need crossCls.  \n",
    "\n",
    "# simplified simple\n",
    "myEllFac = np.sum(ells*2+1)\n",
    "print '\\Sigma_ell 2ell+1 = ',myEllFac\n",
    "Fii = 2./bias**2 * myEllFac\n",
    "print 'Fii = ',Fii\n",
    "print 'inverse: ',1/Fii\n",
    "print 'sqrt of inv: ',np.sqrt(1/Fii)\n",
    "\n",
    "# simple\n",
    "Fiil2 = getFijl(bias,crossCls,ells)\n",
    "#print Fiil2\n",
    "Fii2 = np.sum(Fiil2,-1)\n",
    "print 'Fii2 = ',Fii2\n",
    "Finv = np.linalg.inv(Fii2)\n",
    "print 'inverse: ',Finv\n",
    "print 'sqrt of inv: ',np.sqrt(np.diag(Finv))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Now dig into the FisherMatrix class.  \n",
    "# Something is going wrong in creation of Fij.\n",
    "reload(fcl)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 242,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "nBins:  12\n",
      "nCls:  91\n",
      "ell =  423\n",
      "dClVecs:  (91, 12)\n",
      "invCov:  (91, 91)\n",
      "obslist     : [   0.    1.    2.    3.    4.    5.    6.    7.    8.    9.   10.   11.\n",
      "   12.   14.   15.   16.   17.   18.   19.   20.   21.   22.   23.   24.\n",
      "   25.   28.   29.   30.   31.   32.   33.   34.   35.   36.   37.   38.\n",
      "   42.   43.   44.   45.   46.   47.   48.   49.   50.   51.   56.   57.\n",
      "   58.   59.   60.   61.   62.   63.   64.   70.   71.   72.   73.   74.\n",
      "   75.   76.   77.   84.   85.   86.   87.   88.   89.   90.   98.   99.\n",
      "  100.  101.  102.  103.  112.  113.  114.  115.  116.  126.  127.  128.\n",
      "  129.  140.  141.  142.  154.  155.  168.]\n",
      "map1 numbers: [  0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   1.   1.\n",
      "   1.   1.   1.   1.   1.   1.   1.   1.   1.   1.   2.   2.   2.   2.   2.\n",
      "   2.   2.   2.   2.   2.   2.   3.   3.   3.   3.   3.   3.   3.   3.   3.\n",
      "   3.   4.   4.   4.   4.   4.   4.   4.   4.   4.   5.   5.   5.   5.   5.\n",
      "   5.   5.   5.   6.   6.   6.   6.   6.   6.   6.   7.   7.   7.   7.   7.\n",
      "   7.   8.   8.   8.   8.   8.   9.   9.   9.   9.  10.  10.  10.  11.  11.\n",
      "  12.]\n",
      "map2 numbers: [  0.   1.   2.   3.   4.   5.   6.   7.   8.   9.  10.  11.  12.   1.   2.\n",
      "   3.   4.   5.   6.   7.   8.   9.  10.  11.  12.   2.   3.   4.   5.   6.\n",
      "   7.   8.   9.  10.  11.  12.   3.   4.   5.   6.   7.   8.   9.  10.  11.\n",
      "  12.   4.   5.   6.   7.   8.   9.  10.  11.  12.   5.   6.   7.   8.   9.\n",
      "  10.  11.  12.   6.   7.   8.   9.  10.  11.  12.   7.   8.   9.  10.  11.\n",
      "  12.   8.   9.  10.  11.  12.   9.  10.  11.  12.  10.  11.  12.  11.  12.\n",
      "  12.]\n",
      "indices:      [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90]\n"
     ]
    }
   ],
   "source": [
    "# start digging into contents of Fobj\n",
    "# in particular, use dClVecs (nCls,2*nBins,lmax-1) and invCov (nCls,nCls,lmax-1)\n",
    "nBins = Fobj.nBins\n",
    "nMaps = nBins+1\n",
    "nCls  = nMaps*(nMaps+1)/2\n",
    "myEll = 423\n",
    "dClVecs = Fobj.dClVecs[:,nBins:2*nBins,myEll]\n",
    "invCov  = Fobj.invCov[:,:,myEll]\n",
    "\n",
    "print 'nBins: ',nBins\n",
    "print 'nCls: ',nCls\n",
    "print 'ell = ',myEll\n",
    "print 'dClVecs: ',dClVecs.shape\n",
    "print 'invCov: ',invCov.shape\n",
    "\n",
    "# get codes for covar, dClVecs\n",
    "obsList = Fobj.obsList\n",
    "map1list = np.floor(obsList/nMaps)\n",
    "map2list = obsList%nMaps\n",
    "print 'obslist     :',obsList\n",
    "print 'map1 numbers:',map1list\n",
    "print 'map2 numbers:',map2list\n",
    "print 'indices:     ',range(obsList.size)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 243,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "nonzero f at bin_i, bin_j, Cl_i, Cl_j:  4 4 47 47\n",
      " with map code:  4.0 4.0 , 4.0 4.0\n",
      "f =  634.130017831\n",
      "nonzero f at bin_i, bin_j, Cl_i, Cl_j:  4 5 47 56\n",
      " with map code:  4.0 4.0 , 5.0 5.0\n",
      "f =  17.3547152041\n",
      "nonzero f at bin_i, bin_j, Cl_i, Cl_j:  4 6 47 64\n",
      " with map code:  4.0 4.0 , 6.0 6.0\n",
      "f =  13.8291704385\n",
      "nonzero f at bin_i, bin_j, Cl_i, Cl_j:  4 7 47 71\n",
      " with map code:  4.0 4.0 , 7.0 7.0\n",
      "f =  10.6158682328\n",
      "nonzero f at bin_i, bin_j, Cl_i, Cl_j:  5 4 56 47\n",
      " with map code:  5.0 5.0 , 4.0 4.0\n",
      "f =  17.3547152041\n",
      "nonzero f at bin_i, bin_j, Cl_i, Cl_j:  5 5 56 56\n",
      " with map code:  5.0 5.0 , 5.0 5.0\n",
      "f =  490.32920791\n",
      "nonzero f at bin_i, bin_j, Cl_i, Cl_j:  5 6 56 64\n",
      " with map code:  5.0 5.0 , 6.0 6.0\n",
      "f =  12.2705856327\n",
      "nonzero f at bin_i, bin_j, Cl_i, Cl_j:  5 7 56 71\n",
      " with map code:  5.0 5.0 , 7.0 7.0\n",
      "f =  9.41943125193\n",
      "nonzero f at bin_i, bin_j, Cl_i, Cl_j:  6 4 64 47\n",
      " with map code:  6.0 6.0 , 4.0 4.0\n",
      "f =  13.8291704385\n",
      "nonzero f at bin_i, bin_j, Cl_i, Cl_j:  6 5 64 56\n",
      " with map code:  6.0 6.0 , 5.0 5.0\n",
      "f =  12.2705856327\n",
      "nonzero f at bin_i, bin_j, Cl_i, Cl_j:  6 6 64 64\n",
      " with map code:  6.0 6.0 , 6.0 6.0\n",
      "f =  373.67833648\n",
      "nonzero f at bin_i, bin_j, Cl_i, Cl_j:  6 7 64 71\n",
      " with map code:  6.0 6.0 , 7.0 7.0\n",
      "f =  7.50590941334\n",
      "nonzero f at bin_i, bin_j, Cl_i, Cl_j:  7 4 71 47\n",
      " with map code:  7.0 7.0 , 4.0 4.0\n",
      "f =  10.6158682328\n",
      "nonzero f at bin_i, bin_j, Cl_i, Cl_j:  7 5 71 56\n",
      " with map code:  7.0 7.0 , 5.0 5.0\n",
      "f =  9.41943125193\n",
      "nonzero f at bin_i, bin_j, Cl_i, Cl_j:  7 6 71 64\n",
      " with map code:  7.0 7.0 , 6.0 6.0\n",
      "f =  7.50590941334\n",
      "nonzero f at bin_i, bin_j, Cl_i, Cl_j:  7 7 71 71\n",
      " with map code:  7.0 7.0 , 7.0 7.0\n",
      "f =  289.803786592\n",
      "FijTest = \n",
      "[[   0.            0.            0.            0.            0.            0.\n",
      "     0.            0.            0.            0.            0.            0.        ]\n",
      " [   0.            0.            0.            0.            0.            0.\n",
      "     0.            0.            0.            0.            0.            0.        ]\n",
      " [   0.            0.            0.            0.            0.            0.\n",
      "     0.            0.            0.            0.            0.            0.        ]\n",
      " [   0.            0.            0.          634.13001783   17.3547152\n",
      "    13.82917044   10.61586823    0.            0.            0.            0.\n",
      "     0.        ]\n",
      " [   0.            0.            0.           17.3547152   490.32920791\n",
      "    12.27058563    9.41943125    0.            0.            0.            0.\n",
      "     0.        ]\n",
      " [   0.            0.            0.           13.82917044   12.27058563\n",
      "   373.67833648    7.50590941    0.            0.            0.            0.\n",
      "     0.        ]\n",
      " [   0.            0.            0.           10.61586823    9.41943125\n",
      "     7.50590941  289.80378659    0.            0.            0.            0.\n",
      "     0.        ]\n",
      " [   0.            0.            0.            0.            0.            0.\n",
      "     0.            0.            0.            0.            0.            0.        ]\n",
      " [   0.            0.            0.            0.            0.            0.\n",
      "     0.            0.            0.            0.            0.            0.        ]\n",
      " [   0.            0.            0.            0.            0.            0.\n",
      "     0.            0.            0.            0.            0.            0.        ]\n",
      " [   0.            0.            0.            0.            0.            0.\n",
      "     0.            0.            0.            0.            0.            0.        ]\n",
      " [   0.            0.            0.            0.            0.            0.\n",
      "     0.            0.            0.            0.            0.            0.        ]]\n"
     ]
    }
   ],
   "source": [
    "# some fisher matrix creation\n",
    "FijTest = np.zeros((nBins,nBins))\n",
    "\n",
    "# don't check all power spectra at once\n",
    "\n",
    "# check ones that use kk ** (index 0)\n",
    "#myClis = (0,0)\n",
    "#myCljs = range(nCls) \n",
    "# all kk ** are zero, as expected\n",
    "\n",
    "# check kg kg (indices 1-12)\n",
    "#myClis = range(1,13)\n",
    "#myCljs = range(1,13)\n",
    "# looks good: only nonzero for i=Cli, j=Clj\n",
    "\n",
    "# check kg gg\n",
    "#myClis = range(1,13)\n",
    "#myCljs = np.where(map1list == map2list)\n",
    "#myCljs = myCljs[0]\n",
    "# should only be nonzero for i=Cli=j=Clj\n",
    "# but, i=Cli != j=Clj are appearing at ~1/5 magnitude of others\n",
    "\n",
    "# check gg gg\n",
    "myClis = np.where(map1list == map2list)\n",
    "myClis = myClis[0]\n",
    "myCljs = np.where(map1list == map2list)\n",
    "myCljs = myCljs[0]\n",
    "# should only be nonzero for i=Cli=j=Clj\n",
    "# but, i=Cli != j=Clj are appearing at ~3/100 magnitude of others\n",
    "\n",
    "\n",
    "for i in (3,4,5,6): #range(nBins):\n",
    "    for j in (3,4,5,6): #range(nBins):\n",
    "        # this is effectively what is in the FisherMatrix init function:\n",
    "        #fij = np.dot(dClVecs[:,i],np.dot(invCov,dClVecs[:,j]))\n",
    "        # but I want to break it down:\n",
    "        fij = np.zeros((nBins,nBins))\n",
    "        for Cli in myClis: #range(nCls):\n",
    "            for Clj in myCljs: #range(nCls):\n",
    "                f = dClVecs[Cli,i]*invCov[Cli,Clj]*dClVecs[Clj,j]\n",
    "                if f != 0:\n",
    "                    # print 1-based output, not 0-based\n",
    "                    print 'nonzero f at bin_i, bin_j, Cl_i, Cl_j: ',i+1,j+1,Cli+1,Clj+1\n",
    "                    #codeIndex = np.where(obslist == nBins*Cli+Clj)\n",
    "                    print ' with map code: ',map1list[Cli],map2list[Cli],',',map1list[Clj],map2list[Clj]\n",
    "                    print 'f = ',f\n",
    "                fij[i,j] += f\n",
    "        \n",
    "        FijTest[i,j] = fij[i,j]\n",
    "print 'FijTest = '\n",
    "print FijTest"
   ]
  },
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