{
 "metadata": {
  "name": ""
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from SimPEG import *\n",
      "import scipy.sparse as sp\n",
      "%pylab inline"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Populating the interactive namespace from numpy and matplotlib\n"
       ]
      }
     ],
     "prompt_number": 2
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "## Testing inhomogeneous boundary conditions\n",
      "\n",
      "Here we test inhomogeneous boundary conditions with Finite volume approach. \n",
      "\n",
      "$$\\nabla \\phi = \\frac{1}{\\mu}\\mathbf{B}$$\n",
      "\n",
      "$$\\nabla \\cdot \\mathbf{B} = q $$\n",
      "\n",
      "In discretized form we have \n",
      "\n",
      "$$\\mathbf{M}^f\\mathbf{G} \\phi = \\mathbf{M}^f_{\\frac{1}{\\mu}}\\mathbf{B}$$\n",
      "\n",
      "$$\\mathbf{D}\\mathbf{M}^f\\mathbf{B} = \\mathbf{M}^cq $$\n",
      "\n",
      "\n",
      "$$\\mathbf{D}\\mathbf{M}^f(\\mathbf{M}^f_{\\frac{1}{\\mu}})^{-1}\\mathbf{M}^f\\mathbf{G} \\phi = \\mathbf{M}^c q $$"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "### 1. Inhomogenous Dirichlet"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "n = 100\n",
      "hx = np.ones(n)*pi/n\n",
      "M = Mesh.TensorMesh([hx]) \n",
      "Phia = lambda x: -np.cos(x)\n",
      "Ba = lambda x: np.sin(x)\n",
      "qa = lambda x: np.cos(x)\n",
      "M.setCellGradBC('dirichlet')\n",
      "G = M.cellGrad\n",
      "D = M.faceDiv\n",
      "Bbc = M.cellGradBC\n",
      "Mf = M.getFaceMass()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 3
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "A = D*G\n",
      "xsol = sp.linalg.minres(A, qa(M.gridCC)-D*Bbc*np.array([-1., 1.]))\n",
      "q = A*Phia(M.gridCC)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 4
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plt.subplot(131)\n",
      "plt.plot(M.gridCC, xsol[0], M.gridCC, Phia(M.gridCC), 'r.')\n",
      "plt.subplot(132)\n",
      "plt.plot(M.gridCC, qa(M.gridCC)+D*Bbc*np.array([1., -1.]), M.gridCC, q ,'r.')\n",
      "plt.subplot(133)\n",
      "plt.plot(M.gridN, G*xsol[0], 'b--', M.gridN, Ba(M.gridN), 'r-')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 5,
       "text": [
        "[<matplotlib.lines.Line2D at 0x4663e10>,\n",
        " <matplotlib.lines.Line2D at 0x4667050>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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D9JEVOUXgSeAPX3V19hFb/fv7Lg9p8bsp6m9mkq2ysboIDhL4w9eaNfDrX/s2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\nAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x40a7c90>"
       ]
      }
     ],
     "prompt_number": 5
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "### 2. Inhomogeneous neumann"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "n = 20\n",
      "hx = np.ones(n)*pi/n\n",
      "M = Mesh.TensorMesh([hx]) \n",
      "Phia = lambda x: np.sin(x)\n",
      "Ba = lambda x: np.cos(x)\n",
      "qa = lambda x: -np.sin(x)\n",
      "M.setCellGradBC('neumann')\n",
      "G = M.cellGrad\n",
      "D = M.faceDiv\n",
      "Mf = M.getFaceMass()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 6
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "h = pi/n\n",
      "bc = np.zeros(n)\n",
      "bc[0] = -1.\n",
      "bc[n-1] = -1.\n",
      "bc = bc/h\n",
      "A = -D*D.T"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 7
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "rhs = qa(M.gridCC)-bc\n",
      "xsol = sp.linalg.minres(A, rhs)\n",
      "q = A*Phia(M.gridCC)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 8
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "figsize(12, 5)\n",
      "plt.subplot(131)\n",
      "plt.plot(M.gridCC, xsol[0], M.gridCC, Phia(M.gridCC), 'r.')\n",
      "plt.subplot(132)\n",
      "plt.plot(M.gridCC, rhs, 'b.', M.gridCC, q, 'r.')\n",
      "plt.subplot(133)\n",
      "plt.plot(M.gridN, G*xsol[0], 'b--', M.gridN, Ba(M.gridN), 'r-')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 9,
       "text": [
        "[<matplotlib.lines.Line2D at 0x4a75b90>,\n",
        " <matplotlib.lines.Line2D at 0x48d6c90>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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uLBYL/vnPf+K7776TIhuRrGSfE7Lnk8KXX+L6wiWos+lH0UnICbh5hwb27gUa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\nWLZKAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x3389190>"
       ]
      }
     ],
     "prompt_number": 9
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "### 3. Questions?\n",
      "\n",
      "- For inhomogeneous neumann boundary condtion we need to specify bondary condtion for ou gradient operators?\n",
      "- Here I tried homogeneous dirichlet boundary condition. "
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Idea for implementing boundary condition for flux is \n",
      "\n",
      "$$ \\mathbf{D}\\mathbf{B} = q $$\n",
      "$$ \\mathbf{D}\\mathbf{B}_{inner}+\\mathbf{D}\\mathbf{P}\\mathbf{B}_{bc} = q $$\n",
      "\n",
      "Here we need to use G for homogenous neuman case and $\\mathbf{P}$ is a projection to boundary. \n",
      "Now, to make it work :), we need to generate \n",
      "\n",
      "- $$\\mathbf{D}\\mathbf{P}$$ \n",
      "- $$\\mathbf{B}_{bc}$$ "
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from SimPEG import *\n",
      "from test_boundary import ddxFaceDivBC, faceDivBC, faceBCind\n",
      "%pylab inline"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Populating the interactive namespace from numpy and matplotlib\n"
       ]
      }
     ],
     "prompt_number": 10
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "### 4. First generate $\\mathbf{DP}$\n",
      "\n",
      "- Here I wrote the function \"faceDivBC\""
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "hxind = ((5,25,1.3),(20, 25),(5,25,1.3))\n",
      "hx = Utils.meshTensors(hxind)\n",
      "hx = hx/sum(hx)*np.pi\n",
      "# hx = np.ones(n)*np.pi/n\n",
      "M3 = Mesh.TensorMesh([hx, hx, hx])\n",
      "M3.setCellGradBC('neumann')\n",
      "G = M3.cellGrad\n",
      "Bbc = M3.cellGradBC\n",
      "D = M3.faceDiv\n",
      "BC = [['neumann', 'neumann'], ['neumann', 'neumann'], ['neumann', 'neumann']]"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 11
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "Bbc.shape"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 12,
       "text": [
        "(83700, 5400)"
       ]
      }
     ],
     "prompt_number": 12
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "So, the number of boundary faces elements is 600 (100$\\times$6)"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "print M3.gridFx.shape\n",
      "print M3.gridFy.shape\n",
      "print M3.gridFz.shape\n",
      "print M3.nF"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "(27900, 3)\n",
        "(27900, 3)\n",
        "(27900, 3)\n",
        "83700\n"
       ]
      }
     ],
     "prompt_number": 13
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "indxd, indxu, indyd, indyu, indzd, indzu = faceBCind(M3)\n",
      "ind = np.r_[(indxd | indxu), (indyd | indyu), (indzd | indzu)]"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 14
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "Dbc = faceDivBC(M3, BC, ind)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 15
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "figsize(16,4)\n",
      "M3.plotImage(ind, imageType='F')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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HjtyJlJQ5eHbwYCF7CkXmLcvXtyNsbBpg/fpYjNM6pTR5u3Zthe+/fwNLlx7H/v1X0bRp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\nmkIIIYQQQgghnOr/Adou++Cyun3yAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x44a4910>"
       ]
      }
     ],
     "prompt_number": 16
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "figsize(6,6)\n",
      "M3.plotGrid()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "/usr/lib/pymodules/python2.7/matplotlib/lines.py:483: RuntimeWarning: invalid value encountered in greater_equal\n",
        "  return np.alltrue(x[1:]-x[0:-1]>=0)\n"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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HF9NORo0aRiZRbt06QrVqGl9+6WbEiDDPP++iSROdWrUMRowI07x57iF+Ho/J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\n2wAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x4a976d0>"
       ]
      }
     ],
     "prompt_number": 17
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "### 5. Second we generate $\\mathbf{B}_{bc}$\n",
      "\n",
      "$$\\nabla\\cdot\\vec{B} = q$$\n",
      "$$\\nabla\\phi = \\frac{1}{\\mu}\\vec{B}$$\n",
      "\n",
      "$$\\phi_{true} = sin(x)-cos(y)-cos(z)$$\n",
      "\n",
      "$$\\vec{B}_{true}  = cos(x)\\hat{i}+sin(y)\\hat{j}+sin(z)\\hat{k}$$\n",
      "\n",
      "$$\\vec{q}_{true}  = -sin(x)+cos(y)+cos(z)$$\n",
      "\n",
      "In discrete form \n",
      "\n",
      "$$ \\mathbf{G} \\mathbf{M}^c\\phi + \\mathbf{G}_{bc}\\phi_{bc}= \\mathbf{M}^f_{\\frac{1}{\\mu}}\\mathbf{B}_{inner}$$\n",
      "\n",
      "$$ \\mathbf{B}_{inner} = (\\mathbf{M}^f_{\\frac{1}{\\mu}})^{-1}(\\mathbf{G} \\mathbf{M}^c\\phi + \\mathbf{G}_{bc}\\phi_{bc})$$\n",
      "\n",
      "$$ \\mathbf{M}^c\\mathbf{D}\\mathbf{B}_{inner}+\\mathbf{M}^c\\mathbf{D}_{bc}\\mathbf{B}_{bc} = \\mathbf{M}^cq $$\n",
      "\n",
      "$$ \\mathbf{M}^c\\mathbf{D}(\\mathbf{M}^f_{\\frac{1}{\\mu}})^{-1}(\\mathbf{G} \\mathbf{M}^c\\phi +\\mathbf{G}_{bc}\\phi_{bc})+\\mathbf{M}^c\\mathbf{D}_{bc}\\mathbf{B}_{bc} = \\mathbf{M}^cq $$\n",
      "\n",
      "$$ \\mathbf{M}^c\\mathbf{D}(\\mathbf{M}^f_{\\frac{1}{\\mu}})^{-1}\\mathbf{G} \\mathbf{M}^c\\phi = \\mathbf{M}^cq -\\mathbf{M}^c\\mathbf{D}(\\mathbf{M}^f_{\\frac{1}{\\mu}})^{-1}\\mathbf{G}_{bc}\\phi_{bc}-\\mathbf{M}^c\\mathbf{D}_{bc}\\mathbf{B}_{bc}$$\n"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "### 6. Now we test inhomogeneous neumann for 3D case\n",
      "\n",
      "Since $\\mathbf{G}_{bc}$ is going to be zero matrix in this case, we have\n",
      "\n",
      "$$ \\mathbf{M}^c\\mathbf{D}(\\mathbf{M}^f_{\\frac{1}{\\mu}})^{-1}\\mathbf{G} \\mathbf{M}^c\\phi = \\mathbf{M}^cq -\\mathbf{M}^c\\mathbf{D}_{bc}\\mathbf{B}_{bc}$$\n",
      "\n",
      "And by assuming uniform mesh and constant $\\mu$\n",
      "\n",
      "$$ \\mathbf{D}\\mathbf{G}\\phi = q - \\mathbf{D}_{bc}\\mathbf{B}_{bc}$$\n"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "def phitrue(x,y,z):\n",
      "    phi = np.sin(x)-np.cos(y)+np.cos(z)\n",
      "    return phi\n",
      "\n",
      "def Btrue(x,y,z):\n",
      "    Bx = np.cos(x)\n",
      "    By = np.sin(y)\n",
      "    Bz = np.sin(z)\n",
      "    B = np.r_[Bx, By, Bz]\n",
      "    return B\n",
      "def qtrue(x,y,z):\n",
      "    q = -np.sin(x)+np.cos(y)+np.cos(z)\n",
      "    return q"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 18
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# def phitrue(x,y,z):\n",
      "#     phi = np.sin(x)+np.sin(y)+np.sin(z)\n",
      "#     return phi\n",
      "\n",
      "# def Btrue(x,y,z):\n",
      "#     Bx = np.cos(x)\n",
      "#     By = np.cos(y)\n",
      "#     Bz = np.cos(z)\n",
      "#     B = np.r_[Bx, By, Bz]\n",
      "#     return B\n",
      "# def qtrue(x,y,z):\n",
      "#     q = -np.sin(x)-np.sin(y)-np.sin(z)\n",
      "#     return q"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 19
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "Mc = Utils.sdiag(M3.vol) \n",
      "Mfmu = Utils.sdiag(1/M3.getFaceMass().diagonal())\n",
      "# A = Mc*D*Mfmu*G*Mc\n",
      "\n",
      "A = D*G\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 20
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "qa = qtrue(M3.gridCC[:,0], M3.gridCC[:,1], M3.gridCC[:,2])\n",
      "Ba = Btrue(M3.gridFx[:,0], M3.gridFy[:,1], M3.gridFz[:,2])\n",
      "Phia = phitrue(M3.gridCC[:,0], M3.gridCC[:,1], M3.gridCC[:,2])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 21
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# M3.plotImage(Ba, imageType='F')\n",
      "# M3.plotImage(qa, imageType='CC')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 22
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "Bbcx = np.zeros(np.prod(M3.nFz))\n",
      "Bbcy = np.zeros(np.prod(M3.nFz))\n",
      "Bbcz = np.zeros(np.prod(M3.nFz))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 23
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# Bbcx[indxd] = 1\n",
      "# Bbcx[indxu] = -1\n",
      "# Bbcy[indyd] = 1\n",
      "# Bbcy[indyu] = -1\n",
      "# Bbcz[indzd] = 1\n",
      "# Bbcz[indzu] = -1\n",
      "# Bbc = np.r_[Bbcx, Bbcy, Bbcz]"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 24
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "Bbcx[indxd] = 1\n",
      "Bbcx[indxu] = -1\n",
      "Bbcy[indyd] = 0\n",
      "Bbcy[indyu] = 0\n",
      "Bbcz[indzd] = 0\n",
      "Bbcz[indzu] = 0\n",
      "Bbc = np.r_[Bbcx, Bbcy, Bbcz]"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 25
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "figsize(16,4)\n",
      "M3.plotImage(Bbc, imageType='F')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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LXOBntnDffQ8Yy1mYCrPrWreuxZYtJ3A4oHnz6sTFJRMdfSH7+q1bY9i6NQa4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\nRvHaAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x3f27a10>"
       ]
      }
     ],
     "prompt_number": 26
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# m1 = sp.linalg.interface.aslinearoperator(Utils.sdiag(-1/A.diagonal()))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 27
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "#### If I get rid of minus sign there ... that does not work"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# %%time\n",
      "# rhs = Mc*qa-Mc*Dbc*Bbc[ind]\n",
      "rhs = qa-Dbc*Bbc[ind]\n",
      "# Try to use Jacobi preconditioner, but does not work well...\n",
      "# x, info = sp.linalg.minres(A, rhs, M = m1,tol=1e-6, maxiter = 2000, show=False)\n",
      "# x, info = sp.linalg.minres(A, rhs, tol=1e-6, maxiter = 1000)\n",
      "# x, info = sp.linalg.minres(A, rhs, tol=1e-6, maxiter = 2000, show=False)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 28
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# rhs = Mc*qa-Mc*Dbc*Bbc[ind]\n",
      "rhs = qa-Dbc*Bbc[ind]\n",
      "\n",
      "import petsc4py\n",
      "import sys\n",
      "petsc4py.init(sys.argv)\n",
      "from petsc4py import PETSc\n",
      "import PETScIO as IO\n",
      "Apetsc = PETSc.Mat().createAIJ(size=A.shape,csr=(A.indptr, A.indices, A.data))\n",
      "bpetsc = IO.arrayToVec(rhs)\n",
      "xpetsc = IO.arrayToVec(0*rhs)\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 29
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%%time\n",
      "ksp = PETSc.KSP().create()\n",
      "pc = PETSc.PC().create()\n",
      "ksp.setOperators(Apetsc)\n",
      "ksp.setType(ksp.Type.GMRES)\n",
      "pc = ksp.getPC()\n",
      "pc.setType(pc.Type.SOR)\n",
      "OptDB = PETSc.Options()\n",
      "OptDB[\"ksp_rtol\"] = 1e-8\n",
      "OptDB[\"pc_factor_levels\"] = 1\n",
      "ksp.setFromOptions()\n",
      "ksp.view()\n",
      "ksp.solve(bpetsc, xpetsc)\n",
      "x = IO.vecToArray(xpetsc)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "CPU times: user 11.1 s, sys: 409 \u00b5s, total: 11.1 s\n",
        "Wall time: 11.1 s\n"
       ]
      }
     ],
     "prompt_number": 30
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "#### Compute error for right handside"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "rhsa = A*x\n",
      "print np.linalg.norm(rhs-rhsa)/np.linalg.norm(rhs)\n",
      "print info"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "0.000208241391358\n",
        "<function info at 0x2c3fd70>\n"
       ]
      }
     ],
     "prompt_number": 31
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "print A.shape, Phia.shape, qa.shape, Dbc.shape, Bbc[ind].shape"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "(27000, 27000) (27000,) (27000,) (27000, 5400) (5400,)\n"
       ]
      }
     ],
     "prompt_number": 32
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "fig, ax = plt.subplots(1,2, figsize=(16,4))\n",
      "M3.plotImage(x, imageType='CC', ax = ax[0])\n",
      "M3.plotImage(Phia, imageType='CC', ax = ax[1])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 33,
       "text": [
        "<matplotlib.collections.QuadMesh at 0x3f27810>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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gAmS7AmGKPG5c19/sE9aORuX+qAbNpbowGWxUg2ebslsL0ZRKr7m8izmY7uxv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\nahdrpemAofEcGsw67krHZg6JjhSPNUwXoxlPfhNP+JJUl8hihAIDVXq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agateU2d1vVID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hyTmw+Pdwwz3AJqft82fCXrNgbATe/QHo6oSL/2Oc66+HY46Rvhu/xYjdpui5qMJIml3qFsdm\nAUnnJso4aHZD/raESWYFw7vwO05pkaWfhDN/CSv+Dks+Dov/DDcswynioYqezNwN3nYsfOITFfDd\nxFy/NSsTVZ21qZxE99HEaoT47K7t+lF8sVl4DaSKsPTDcOZvYcV6WPLPsPguuMEA6m1w6x3w6Q74\n/fcdAJbNwk23w+n/QrA4FUTnZLqfWbeoeJj2d6pjOVZaiYeN/R+Ghb+F1CgsfSec+XtYsQaWvAcW\nL4Mb/gZsdNp+y3L41Enwp3vgkVVw+Kvg1Pc6gGRWN6yNkoPGiQVEy8xlPnOA/Rey4hBb+ASkqrB0\nfzhzFawowpL5sHgj3LDObWMJvxKgisfgifGxRwc8v8XvVwXYug326CFaGgvBeMhFraj7aKBvGHm0\nswruY3ajGN5KhoWlKqlqhqWz4MwNKVaMwpLdYfEmRyZLEf/YGQTGCTKasu3DeIWtWlg1TcxvUb/N\nxQbVEmVeosdahTN4tsqizTJ4+tHG4F3GpYyR42OczrX8gSfZwUd5E3fwDH+ln23MoEiB3ehmdzoZ\nJc3ZPEOBNJ8Z35urarvyxqLoXC6LVxLFPoo94QxenOI35thW/MaJg8fwNFv8xn+c4z/4BSngs5zC\nz7mLvzPE2byOP7GOpaxnB9MCBYJ2JcOxTOMT28YpDQt/TOXIIf/NY2hc9Y10MGc1jKVxck39Va79\njObk5GgW6eB8FlMhx1d4B//FMtawlbN4Pbeygb+w0T2vk9sY4Zv087PaXqRxbpW3MsLpz6ax7vin\n7kWDqjBMV+9Ec1bD2X/79R57FdVHvsSvGaHAN3gTl7KCRxnlXA7mfxngDrYwwAwG6eY2ipxW6+GW\noSyPVsd5TSbDqTOcWdussejf5rKKxdB0EYt0POlsxcfeN18R/j/4BVUyfIH38gvu4Fk28a+cwL08\nzVLWMebupSnHQZU0FbK+qrxD4930pfKsZ9znVxnY2gl7KN91LADYptjv6UIp0RsuMw+rTBwlM7dZ\nlQxf4teMk+F83sZPWMoatvIpjuXPrGUp6xlxC2TJYFvI0AAAIABJREFUnHdnJGZ99zofW70t5RQd\nbLP4HMMmtI/my9X6t8G0doe1u3EFDAzBIXvBktugfyP0u3KCtBu9kz8C9z8At90Jp546zNFHZzn4\n4Cjt2kvLfPH4GwwMwyHzYMld0L8Z+oO1FTj1ZCiNwOLFL69Vwv4hmJZ3WLsbH4eBEhwyG5Ysg/6t\nzh/A2/4BLj4TPnMhvPrdcOKZsPccuOKKF7b9k239wyIeT8HACBwyE5Y8AP0DTv8AOPtK+OvjsOIq\nKN8Jv/o6/ORnkErB+Eugi/SPwbQ0tKXgxm0wUIVDOmHJJugfgX4tDY+wl4C7Da2/KuIxDAPjcEgH\nLNkC/WXotxU1SiyxCdp2ttNOngxpHuYpioyyJ7twD6vZwjAb3ZWNtFt1+bOs4W8UWcYQHysVOTKT\nZWH65fPbPMBgPR4rWMMwZfailztYyyZKbCA4EN/DdEYYZ3Hx5XAn8myAQTrIkSHNA/QzTJm9mc6f\nWc9GRup941im8znm8pXadt5Q28jJtS3MJcsVsxr8g5eYbWWYAm1kSLOM9Qwyxr70cCub2ECZdS64\nPZ8NLK9Uub+nk6EZ3Vzd1cFPNjjkwnj0v3hRmPzeH2I1RUaZRx/LeJotDLNZyN0b2cthRDjfe46s\nGAd7Mb1+T9jISOMPmWSbFOlsuKny6oOK0YxTWbRCMH/QyJ4nc3sTty0Pfx7m9kE27QCr7T900Hi+\nDVZd7Zyz4PXw3POw/nloq8GgkLo9+ug2oId580Z46CEz+zR+CxovDrsLLWxvoq6bYDGghz8Oc6eL\neFzkMHT5LKz6sXPOgrfAcwZsDjng4V/fB9f8CopFTV0qv401s6+ozQ/b1jfgxFLHoBmGVzB5D38A\n5k5zY5GG7eeKWHzbOWfBJ+C5YfjSe+Hq38MPf+S8/ggwtAHu/C189auwerVqQzPbvdgY77AtgMyY\nyRPOhMYpnFUikL/78LtgbrdDCLalYfun3bGSgVVfdc5ZcAY8twW2DcPJn4JMBnbrhfWb4GOvd85Z\n9TDR/k9kz9ku8bpm/7PqGKx94+FDYG7eOb0tBdsPdf1Mw6rXADVYcAM8VxR+DLr/s+y20bRzGNZv\nhj37/G3PZqB3OqxfY/Fpon3D9SOybwB0SGY363uQ1z28D8xtc7/3FGyf78YjBasOds5Z8Gd4bkS0\nfci93sTDmGRnt7nva9YzsUm3kmIiWmXx9Aq8OZ7Ilg3mevOeyRs6i7OYTg9pVyp7IWeTIkWWDN/D\nyd14H/eziVE2MUaNCptEEvfqgQJ0wu6lTkpGJmlh8XRhJLmnXl4At0asVViOZatVZzVr9X84nRn0\nuNLhNJdxWj0eV3ACACfxMBvcm2KJAingvczg1xQpDoZs96LuIZr9Lokc1kFVJVWzjwUL6xZ3OyXp\nu3zu207JfX4ep9BHJ2nSZElzBaeQJkUbaa7hWAD+meWUKHAqs7me7fxgKAXkWA5syZT4w7Q2vvo0\nrNbYXMVD57CWesPjYfOloMbMKHmRz9gc+y+LZ5mYAPz/vItdKbjxSHEdJ5Fy43E9hwFwNM+z3uWb\n37MhRYYqu2VgfRU+tiMNs2HVBoLzZ992dn4GT/aVXE94LPzx8PqIrr4r83htdj7vo5eu+hj4HmeQ\nwpELX8TJ1IBTuZPNjPjyVsfJMEYbg3R725sMFXiuPcWcdJvPryzQ2wbrtxL8fW3wWy37ymC7G4+C\n33/J6HrjpxSIR3CsBAtFXcxb2IVO0qTUOPDuCe/hr2yi7NuLuGriIba18fXzIZx+kLb4HMOmGGi+\n9OyESyCXhSs+CLf8Fa69B772die/7EIXNKx3VBjcuQz+z0ehqwuG3A62//4Owl2zJjoB+qViJ/wE\ncmU3Hsvh2vvga2914/Ez55z1Srd+wnEwd0/40ZU7v71TaScshlwGrngr3PJ3uHYZfO0EGC3ChYud\nc9a7UsBUCqrq/miYu5dL2tQJN7jxOBZueQyu/Rt87XUwWoELf+Ocs17lKlerXn9538lwxx2w1bbd\ny4vITngUcim4Yh+4ZQtcux6+Nh9Gy3DhU8AIrG+C0fzLE3DJh5xq1abI4fGHOwqJvyydEhcm1U54\n1o3HHnDLIFy7Ab422/3e3V0y1k9g0fTlsKqc2OTbf/FLsqR5N//ECp7jfp7mLRzBGOMsdrfo2OJO\nvFewnVOYRidphl1eZn93trOm8vLoYZfxG8bo4lSOZTnruZc1vJ1DqTDOz+gHYJMCzW+gnTlk+DlD\nELLP4UvRLuIWsqT5CK/nQdbxZzZwCgsokeYn7nY2mymDC7bHqWH2GgaPuXuZ/DRzAbeTJcMnOIJ7\n2crtPM8pLKDMOJe5SGGD6htVHJAJ8L5ZcMdW2Poiz8/8T24kRRun8noeop+76efdHEyZGr/lUcZo\nY2sTvyhLqxW+3VagKw1Dbqc4vtshFP7yEsjP/HduI0uaj/FaHmQ9t7He/d5rXIWzr9iWCfDUrd45\ndy6jqc22pYfaqxAIb2We8G09bNItWx6eOc+dKK7d5nSqhXvCGd+C1WvhoL3gvJ/C6qfdc123fvBD\n+OSH4Gc/g3PPhc5OuOyy6dx++zArV26xNEBQ+JrRlBMz6XuUysdXSdN9NAu4ktGNqrIaVm3WfVw7\nAulhWDgLzrgEVq+Dg+bAeT+H1U+450plwhB89ENw332wcql+EzxGU/WNkR7/sewbJqcszjYnxh+z\nQG/LTbRZ2PYogslbO+L2jd3hjGtg9TNw0Ew4bwmsXuNv+29uha9+FO7/M9x1r1Pw5j8vgIceqrJq\nlaRxXL/1CNYT9UbxiDOSDfDV1WdtJqvNgjWfee2QG4/d4IzFsHqTG48bYfWz7rnu13zo/rD33rD8\nEditDz57OixcCEcfjf3uJYFbnFiAEw8ThyjfjJlzbZWJha0dgXTFae8ZK2H1djioAOc9Dau34PQP\nt03ZMhzQB2Sguw36cnDwDIeoe8ytRrv4Vjj37bD4q/Dly6BvGlx2Diz5FTz7hKUBWhQQJx6atY3b\nP2L0jbVjzsLmwr3hjCdg9RAcNB/OewpWm4UFE49ROGCG87w7K+JRgcc2eucdPBcYg95O6M7DwrnO\ngsxDD8dod2LN24i/Q5QF8wf+7U28jeX9+WdRbEOOcqBypDnXxnPEqTo7yCgpUsxiV37EMtYzyhx6\n+RUP86z72cNuuxezhXewJ99mNt9igAIpzp+R5fYSrBy0DAYxxvReeOWCfd9A6X+cHEOPpTE+xqs6\na/zXzOA2xhljlD3p4/s8yDrGmMsMfs4TPO1CphHxvRaLBd6f6+avqQp/HW0L30JI3V9GSznfsazK\naxjsnNoz1fvOo6uvTlbV2fWMkSLFPGZwKct5lnHmMZ3/4hlW1X9gnFy9mxjhHGbwp9oYd5erzMmk\nuKgjx0NDsGp743josSP7S0fBxMPkWga30jEm+0XYXquN4hFWdXaAKmmq7MV0LmANz5JiHzq5nHWY\naeyQ2+5F6Syvy2ZZPgq7ZeCzM2BhOxx9h8V31GtqgVXm9RW6nFiMppuLhfTRyRwM3/qmRJUqKebQ\nyw+4n7WMMYderuZx1lClTFbEppP5FBihnXba6CHNfLrZNl7gCSqUhgpclYLP7wqLZ8OX+6EvC5ft\nAUtWwbO2BfFA31DHQilR7nLb0e7GI+35FXb/kPEIKiFygfP7qZGmyjymczF/41n3+U9ZzTMuwDRj\nZpw8+9LOCO101jJMA145lqZcg8fHx+ttPzgPtEFvGrpTsLDL/W1uAngnjKbFFs1zGLsn1kJPAQ7Y\nG+5cETxvw0Z4wxvgu991gNXAANx8c4nPfc5WE/qla/V4rHPjMQ/u/Jv93Fmz4MQT4YyP7tw27ixb\nNMthbp7YCD0dcMAsuPPR4HnfutIpdPPFT8PlF8G27fDnu+CLn42fL/BSsEW7u/HYBD3tbjwsYCnf\nBl89C+bPg/IY3LEMjjwSHrXE7sVoi3pgdByeGIaeLBzQDXdabrSzu2D5B5zntRq8eia840BYswXm\nf8l5vTgKx50L3/8Q3HuVk8t83R/hnDN2mjsTtkWdbjxGoCcDB3TCnZZK27M7Yfk/Oc/r8XgFrBmA\n+Rd65y2/wHteq8GDf3YeszOn1o/EXlo2h92oUGU9O+igjblM4xE2ofc328IY7+F5vkYvNzOLbYxz\n0wh8bvML0+6psr3oZYwq6xikQBvz6GIlW/FXSXNsj1SaN2ZyfKr88tSl700vY4zzHEN00sM8uljB\ndnTf+AEOmvxC53Tm9uTYNl7jtvI4X3iZVcneh+mMMc6zlOgkw7508ACDoABfHvhqn7NPerkGd5Tg\nyNvh0ZfIXsbme3fGQDtzmcbDBIme3chxNU5uRw14FfAmung2VeWwmsN6F2tw3JYxvp/Pce8BUBqH\n67bCOXfvRIcmaOZ7X8swneSZRxcPMYBmrXanjd+yH+DEYyFtvKUH1ozXWLDdu0cs3wfYh/p5D37Q\n/W3+z/htStVqtSnRkaRSKabooxNLLLHEEvt/0JLflYlbEsPEEkssscQm06J+V5Kqs4klllhiiSWW\nWGKJJZZYYolNqk2pdHYR/soW8+vqcMdm4ZVrne4mKJv9u0xeSIe70w1Azk2WM7rlHKN1vXJOZX5I\nPXdVUcZGo1whU9e0a417kUI9T8XkZZjqVNtEmcd1+GtiP818tD3IPwBwJLfVX9uXp3zn7Ia3R8gu\ngvbvZpAOVwiv41CgVK9WlhNVupzHyalsV6TDFxPw8ndMPDbTV//Mjezu+x9Psa/v+B6cUqPH8b++\n1+ereMzCkx9Pdzfb63YTukwcvD5SFH3Cq2gH/jyasJjY4mDLA5FVy2Q8ihR8lQm3MaP+fJ2z+1Ld\nnlbx+CNvAeAdLPG9vhdrVDy8sdLn9g85Vry+Ua6/Jo8zVHyV3OSjzYJxyAVyhIz/ZTf3Rb5m+sYW\n0Tf0WFnDXoH/+1tOBuD9ePvA6PvG7mKs9KmxIu8b4PUDWx+R/aHRXl3OPlP+ioqyX5g+Ifemguh4\nbFBjRd87ruFUAE7nMt/re+EvWSzHyi442kDTN+S9Q943wLuP1O+h1TKZihuTanjBgErGWZ+suhVq\ny5ng/dRUtLPdTwdFEZLN7FJ/LsfKGvYO/N+f8InQNiXWpL1HlT15XL0vKqk/5w4xM9KMom4HXqZ9\nyfKot62NKo+nU6uzeOJP/diDVyzW9CQzqmZ7wwt1u4FXWv7xte4K/IdEPJ5U5zzrPd260Xu+peKP\nBXj+7yAYk2bjIWMB9jjI5yDi4V7Uu5v40Lnqn+ynjn/uxuIs1TceU+eJeODmrW11cxt3uE6ZeAwS\njENRHOsY6NoztlITxucCwZgY/008erLQO018iCyNoeOxQB1/343HFxrEQ4wVd7tOxtx4DA4HYxJn\nrETV4GkTj2F9wzdW3JO63fz9NhMP2Tf0WNGxALjQjcfXRTxixMJVKjPmlqYYdB9NXEoEYyLHSKN6\nRDIOJjYyDvVY6DiYegatxONcNxbfbb5vmHiYiutjw15MSm5M5BgBfxyavY+CEwMjmO6wxUHHAsLj\nYesb50QrZBJGM7HEEkssscQSSyyxxBJLLLFJtQRoJpZYYoklllhiiSWWWGKJJTapNqXS2VH8JdOL\nqhKaLBVuJG+j9bLQ8eR9RganS6nbzCZ9q9Qlo355qNwM2JPV+iWDNp+0z9Jkyfiiqvwly8vrEupR\npsvCaylx2fIZUkosZcSyHVJKrCWzWiYZ1nZ5jTbz+d554dfp8vpG8hhH+inl1Zm6j+Hn6zg4myL7\nJbO2fiFjINuu/dJ+Gwv2B/958jrz+VEl0I35S6h7JcOhubEi42B8lePB6xNmE+COQLu1T9rnsPei\nxlhzY8Uvj5b3mDjjLGwDdnmvCBsjRdV3bH6FxUOPIb0VhYyr+YxG/kg/6vfQTIZsJr6s2nY/taUg\nGB90LHTbw8ZQYlNg7eq4Ux2LLmakVh3u7UbL/MJM7zw2UelsjzgOSAXNB8ihoX3SPkvT2ySFXNct\nzhuzbYUhrE09GhmcnHTpmMj3bDJA/agls/Vjvc0RBP3S8Qk7L+o6V/LX4Z4z5joUR+bXZjnPNup1\n35BxiYpNvV1hfaKRn7ZrbMeWz29zHeqoeDEJszaCfSNqdy55Tod6zTpW3PbVpaJ6ezT5Wthx2HtR\nY8y85/pvYlJPnBj2vw+eH1Iy2gik2CTEso8EJLPGbx0PW9vDjuOeFxEP8xPbVgmPibx3tHIflfEI\nSGZNHNoJxiKs7fp5TEsYzcQSSyyxxBJLLLHEEkssscQm1RKgmVhiiSWWWGKJJZZYYoklltik2pRK\nZ2V1QYiWR+pzpczNSCc9qZcjt8pTrkvRTHVJY1FVZ0ctssgoOaCulhgljdR+SIuSA8rrcsIXm4TN\n+FOwVEs15xsfo+SVVbfeprx+1BIHLRnWMknZ9rhywCEVJ32ePNYVhasWWacnefUqEhs/oioSy88z\n54NfQhslBzTH/hgUrM9tfnvnhfcHgG5xrKvH2nzpUGOmTD5QZbQZeWSZvK8CLfilxJ5k1t9HpL/a\nJ+2z/z0vblFjLO8bK8G+XhH9u6L6uqxGHCUjNp+jx5pfXh6ssip9tFVc1X6FjRX9uo6j/97RuG8U\n1PgZFffTVisSm8+zVSQ2xzbp7GBI/4iSVSc2CTZNHUdIwOpVO12pqJHAZfGqrmp5aBG//E2alNxq\niaC1SqJ67MZfVdTXxiiJl/ZZWtR1Pd7TthHxcgVP6qasDbvUE5qvOhsloQ1UWdUVNUXbY8sBdZz0\nsZQMd/rbVDc3Lm141Va1vLFEa5U0pVzUJhUFLw4d0wj/bhv5abvGdtwlnpufIyOdBdzi3PXKomb8\nyMqiMibSosZKB/ZKvOCXSQYks+ZRtnuypLPy2IwV9eW2uXEwfTc7CiX3XOO/8Seq2qrsF6FVZ9sj\npMNhj/q57TjueTHiQcaLSa/rSD0ebn/qqDTfNwDaTNpD3okF4Emmpd+NYpBIZxNLLLHEEkssscQS\nSyyxxBJ7MdmUMpqlccVupcNX5qNW4o1pRqJKts5imJXzZotY6D0So/bR1HviydeMaZ+BOpwPW8kH\nb987gFyA3fX7Ldkqr+hPzr3WXzAH7PtGep+t9wTMq+NcgKXSTKZkpoKsVTyWJg7DG/bdOqx3kOU0\n18Rld+V1tn00bSyNeQyLwc5ieHX7bQyv7iPGpnLP2VbYXXm9fg7+sRKlhAA/e5evt9vPesvxEcV2\n60JRcsyEsf5RaogoZjLq9ag+lVPKDtmfNcut95yVrLcxGZtKoG94yhBovOes1ze8pfQwlUeUMiSx\nSbBGK/GS3XG7RLe5fUYU8ZCP5pttdm9Ac30zewNa94FrhqWZFvIc/AyeeM83CgWDBw6LZ2PwoHlG\nM6rgi5XBk+3cWQyebqtg8WwMnjk3iqUBP1Nji0Pk3oCm7dLPVli8Rsy47B8W1sr4YNiqHW5fyY54\n7xu/NettMzlGbAweeP2BPOHMnWS7Gykcwt5rMhbSDNvWNgxt7k9Lm9ufTAGlpvfRFAweuPHQxY8m\nMx6N+sYO8dzEwzaNNQ6Y4lpuPMw4qlSgo+o9DzNzfpu6vi2PV9zHFo8u9R6E3xNbYDSnFGgWh9Rk\nuSd8gmQmQc1IvqpkAlKvZiRfjnQ2KBU1x2FS0SgJrPYZqHdgCUJLCnRLGV1eAIEoSZ9N+mqrvtvq\n5NkcB2WABeujfg4W4G0B3bbrZFwL7nthsahY/JFAs9Uqq+BMmKM2oXfa3uFrv2x7q/LIOGAiXl8P\njhUNvG1gwga8g4sQXqXVlsZKhDwyqkJzGOhutEgVBOFB4N1qheYoWbXt0eZXWKXVRmNFXpe3gGdt\nYYsqzqJMzne9bREirI/I6rs24F1S9w/d9lJEbBKbZGtG8qUqafoqJKrqiPJRA6q4k2dzHAo0syGA\nIqTdocdh78UFVhWvEq+WR1LxfDJ+66qRjeIRVUkTVBzCJtGTAaxakUe6j9040kjwAytw/G8kJ5Zg\nyiaPNMAqUh4ZVwI4GfHQlUWluQ4YPCPBlQRW0ATQtAEr2Y4ooDnVY8WMhbCfIoE+bMAKYKwaDazM\nNVZgBf6KqnqMaHA11WPFPI8Cmuq4DsYF0IyqYmzOr09bzHE7Qf/NcReN+8QEpbNTy2gq0FXqCZ8w\nNgIT0iSYkHlWja5vdcsGPUGKyh/TPgP1O4sEocWIWExk8qzzz2yfISfPtnwzfRyWfxdn8hwA3hbQ\nDUG22z/pLFn9iPJHbuXRSk6ibcsGvb2JBBNhfaIh4x0TeDcPJoL9wvjv5TUGVQCTlc9cUsc2n1rd\n3iSMwWv0/WpgpLdGgtbZ/8bbm7QOvDUAjQO8m1GGyMUpuS2S/pwotts5js5nbnS/8I+hZHuTKbUJ\nTJ4liEDlnUlGU0+aW93epKm8s6mYPNuAFTgOmS0K3JckCDcxMf5r4Nkso1k/lnGQk0XZ1hc678y1\nNsRk2cJa6Zy8OIxm7Lwz8zjVQDMuuFKzbQmuJLCC+KyVFVjJNkqgORnASr/XKrACfzwswAoccNVw\ne5gsdmAFfv9f6LFi/m8TQLPuV5XANjFW09ISc70NaMq+0qhPvJiBJkP+jYmiJHBR+7+9UAVOwiaN\nUfI37bO00jYhqYxgd/2T5yi5Z3DyXK6zVeGFTiSYalQMKEo6G2fyLH0GrKAbYLAnvG9Esd2y7cYn\n026Y+gIn5lH6HSWRbhV4TxRMvFAy80gGL6bMPA7ohsbAW8dEMrsTLQbUSDo7EeC9M9huc81kycyj\nFmPCxkrY64lNgTUjBwxhadqIJwecMKPZjBwwStY3FUDTmAFRoqiHLuihgad+Dn5gpYFlgLWKE4fJ\nmDx3qWMZ1yg5oDHT/qmUA0YxumF9Qvs1mayVzcJYq3avyFTTrJXx37xmY62Mnz3qvVYXZeLK06OK\nb4EVaNbbL4oqRQIrc62+Xh7bgBV48ZhIITHdh6L6VFRMM+rYFg8Th2aApoxHFNBsFIOukOcxreVi\nQP39/bz+9a/ngAMO4MADD+R73/teqx+VWGKJJZZYYolNgiW/zYklllhiib1YrGVGs62tjYsvvphD\nDjmEoaEhDj30UI4//ngWLFjgnTTgv6ZYVCvzhegCJxCWW7UzCpx0BJg8a4ET5ZP22WdDXriDWzZ4\nywSNWBqPmSlZ86ycx3hSYlueFXiMRJGOQI6izs2Ubdd+SZ+laaYzmuFtXBwpqsBJo5jY4hC3wInz\n2BGxvcnkMLxxiyNFbWGht0VpluHV0tE4+cxRRX3i5jMPphtv5xHmj62PmP4s1RBRsTCfo3MzZWyi\nZNXyMSoecWXVwSJCHvsfJasOk8zKe2grKQi2+6ktn9mWoynvHcn2JpNjsX6bm9jeJHCuXDV3Gbwe\n9yfWsG4lsWVBS9ubyG0JbLJAzcpM5vYmcQp6QEMWTzN4HU3KIyPzzsDOaGpZYFSRozCGRZ/Xo45D\niiNZTfQRyeCBw+K1lHcmWbyovDNw2h7GwGm/wnyZyFgBr90qDvW+NIrXbiPFtrFXNlmkZq5sDO9U\njpVW2O6MeszijwX44xHG5Ml4aOmsjEej/GXbWInLdus+1ArDmyHYfhMHE5c8Xhzj9g15LONgy1W1\nxSCsf2ifY1jLQHPmzJnMnDkTgK6uLhYsWMC6dev8P2Zqj6khNckeLMSdPDvNjJo8tyL5mozJs/Yp\nbF8tALZ5Twd3KKloj6yk6QfNemIn4xBWbTaulDhs0hinGJBXSVNMHJVf0mefKQA6NK76Rjo4eQ4z\nByiW6j5JPyY6eZZFcIKTZ68/hE2etV+tAu+wfVZNG8Pk5RJ422TVYRavGJAHvMPGSFQF3gDohvpN\nbFDKzHvj5TPL9tpAlW2PVTAFoxoDTZv0HuwFo2ItUmkAqePR675e9v/qlXLhwDMfeu8IVmbOq3vH\nKPmWxkq8YkAdgfuGfu4bQ2WLPicX2qTEhMX6bW40sbRUnY0qcBLIscp6QFHnn9ksAKokiGimwEkr\nwEqf28xkUU/o5ETRAGUjnVXySAgCrDb586CBVRygORlgopGM0gYmLHsDAs58yAaswDd5jpV3ZgMT\nzeZotlKVuFG1XrkQEccPM0eU368GZXHj0S6eQ/RY0RWJo8ZKFNCU77WyCKHHiuwjpv0yHnGks7ZF\nCLCPEXNOlHQ25iJETb2eirqumb7xQklnwyrvite1zwCpiCbJ5kzI1qxZw4MPPsgRRxzhf+NH53nP\nDzgW5hzre3uwKCbPhfCy/GYi5E2enXPzlCdh8mwvXmEDWPXJs2h3ICczDFgBDHlP9SRbMlh60hs2\nsbMxunkLYI9XDMgOIpxiQNFA0zdZ1JPlIeym4hTF6OnJs9d2b8KsAaI3ec5NQjEgP0ulgWeJQvjG\n85q1C+sf2xTwnqMWItJR299kLSAoCKqCFZqbrTprLxgVBTQluAyA7m2W289c56Es+tFgbzijGda3\ntR95ciIm/sqqflbUf/+oiltkWNVZ2UcaAc0oRrMcBjQHlP+7R233Er5IpRcfbItUeqzYlCFxxkpc\noOlfoBGxcX2u3XMX3HMXAOd1av4rsUYW9tt83m+858ceAsfGAZrGLIxm/SdFTIwMeKgX9mhmgiQn\nRs0wmpMxeW4GSNjaDc5EOQwoiltWAGBFAU1zLCeKjYBmK/FodJ5cTB9R79nioVkquXBh/I9a5wsD\n83GBZhgwanW7l2a39NAslQ1EmOfNxiOM0YyzKNPi9iY18V6qle08bN+nPtfGaIaZDWjKY812t8D+\n11Q8DLAqdvqzDzunjftPjBsPnVsasSgTexFCHsuxYmP/G+W4i+fG57vurHHXnc5rbZnzIho1CUBz\naGiId7/73VxyySV0dalV6Depf65kpUNdAky0uxF1vzc50Q0CTW8/vMmuOhsFNM1E2cdiaqlsFNCU\n56pJ9uB0MXnusU+eg0AzZwUUMNlVZ/2FTAKTZ8liavAQJiVWcdIAdairWH+eT0czvGVyoVtWTGXV\n2TCgKQFVAHiHAk3/oWa3ugTY0n3cVtRJg6rZDL+EAAAgAElEQVSosRJ3C4s4VWfrY8UGrOLGAmCb\nt0am2a3BXGOgqcdM2R0t4DF55tpmgaZtcSauZNYXD83abbOvC45v9//KaaAZB3j7gab/XjG5QLNx\n1dkwsC2f130+4ATnDzjvFXD++eeTWDyL+m0+79Pq5CfVcVygGVbEY4RoqZc2m/QrjMnb2UBTAokw\nH2wgyDyviNf0Z4RNwvVnyWMb0DTn6Di0AqyaAZpRfcM8SvmfvEYCzTCAJeWhthiHAawwoNlC/6io\n17PNLspooGlZlGkYB2lRQFNLh21AM8ZY0T6bfwcwOM2TlvRMUySADXTb2g1+4K37hhwrjTaisPUR\n2S/CgKaOR8RYkT7LUwfz/t/izmnbfcex4pEhehECJndRxhYPG9gOiYfx+ZDjnT+AmZwX+ds8IaA5\nNjbGu971Lj7wgQ/w9re/PXiCnkiq74Bujw0cbHe/sOnOQzUtgeZo/TlMNdD05JH1SZKbO1WfKG8T\nLKb2KWryvCX8PAlIMlnhQyFcDugHmgYMTQ5LE2d7E8Ps+sCU9n8LdtPnaeAtFiFyvXZ5pB1o+oG3\nzL9rJifRtmVDVB5eKKDSwDsm0NTs1pBYiMimGwNNDaomY6zYZNVg397ExEOC7gBjFwk0vadBRs+j\nyYN9OzwPUTN5sl9E5e86nxddoTk8f9efx2xj7Ww++0wt1vgUFfhTEKIYXtv90zme/LFikxI3BJrS\nr6hc98QaWsPfZi3xipJ8hYEJuRI/rM7NE5wYNbsSH8ZWyUqaUZPnRj5KiwtA9LAIk0PKiZ1mJ2Qc\nohjNMLZKgoqwrRomALxH1ev5iQJN2yIEROffRX2mZKsmEWgG/HYfB1Uay4xpJf+JtrFiW4wxfmfU\nuRWCfSNuPPQihE0eGSanjoiF9hlghvu4LTO9/lrPtI3+k2xjJWyhQAJvvQhjA1hhZgPc8rhLvdeC\nlFj6DN6tZBv+13dRQDPbqG+YxzCgKePRCtCU8YgCmjb5sGi7XHjQPgPMjGiSbE7TVqvVOO2003jV\nq17Fpz+tl0frLfLbZnUsFlnLLtAcGHMnLzPcyUwuU58Y6dyiEt6+b63m4elJow9olt1JszshHB8u\nBP3SPsWcPEcBraGskkYWmpcDxp0whuWdSVARAJpuAaQ6syvBVMCvkH/eoG+UBdDc5gLvak84iNBA\nM+O2Nc9oIAbNSInlYoQHNP3Hg3T7WF0foIrbPwJx87NbA5u8wZ3Z3VbMyA40o3JVW9/exAY07bJq\n2e4AYxdzrGhGb1u3iEUhLtAsh7L+EmiGmR1oeqAqqlAUePHYVvTarv0KjYdazNJ54dsKIh6RQNN/\n/7TdOyYKNG3FxCAcaMofLZ9fegEvsdgW57e50uc/zqr5olUumrE86gmSmUx30nreGTiTIi2Hm2De\nmfZZ/tvhHk8CF5C/yevCgKGOzShBJs8GvFstcGKOw2SAZiYs267iIX2Wlw4W/Ox3vlflvzQDNPPY\nFyHAz1a1IgdstDegeQzrE73+fxPw233UE+tIoGn8iFqMsS1AhOVB2yS48jhMXm5jq/Q2J1HAygIm\nDNCU9+9RBTTztljI9sq2DYtjvQgxmYsyjSSzlnjoRYfANoYhr0cuSoQB73a8FLOwRRkJNI016hvy\n82zFgGQcGiw+SL/CYhFlLW9v8pe//IWrr76a2267jUWLFrFo0SJ+97vftfpxiSWWWGKJJZbYBC35\nbU4sscQSS+zFYi0zmkcffTTj4+PRJzVic+RxxmE7xisOtN5edVnHrjwFN1+vnHaguCwGZFbedWXS\nqO1NbGxVnckbd1maoQIlU8jFFPwxcq4oZlL7LM2XoxlxXdaT5g4B1YrLIHS5zIEbhwLF0LyzZhnN\nsKJARQq+mABeXIyEWLZd+xUmgWvYNzz2q6QZXjcOoyIO5nvM11mastv+joYsr43ZjZV35kqqi0MF\nJR8WzF3c/tHgvPEuj/0a7HClxO5KnGSrzPfW4VbhleydlEia18LMxlbpPiKLIwUYTZfh9bF2rbL/\ncXK7AdLBPGbTVmes+Jk8KSWOUkKAfQscWx6zrQgOTDC/W5+32V+AzCcz7wmvwlsWsQCZm+m0Ud5P\nm936xjnOBvy3FYzyyWVlfrf0K5HOtmxxfpsbygGj8hLlSrxkJcC/Et8pnkuTXSuj3pPFPFrJ0YzK\ns4qQA8pcq85eLSEQz6PyrGQbhwnGpNk8vKi8M3B8bybvTDN4Or/MfdRsVt80P6OZisN2S9bKxnab\n41bZbnMcJpmVOashLI2unhmQQbqPmsEZ7tngO+7sFWPNVn03TDI6FTmazWxvIvqDZrejWCvf/Vuz\nwH2ir4RVIrblakax/80UA4pi8hoVzhLsv/YrLB5DmtFUx4U+776aj4qHllPb4jFZxYBs8dBsNzAq\n4yFrkLTAaE64GFCkNZJR+sCVeq/iTmYrmTrQyrW7oKrdneClvYmRmdA1nXfmgqjRERdgjbifPVTw\ntqIwRR3N708UsIo7eY6QEftiUclTMkBTxaFayPgAFXhAy18MKDxH0zZZBDFhLhb8MQFPKmv8aUVK\n3FTfcP5fye3gJg6VrqC8eqfknbmSagO4y0MFv3y4lf7RCKCLH8VS1vlBNHEY7cpRzvlBhAFYZgEm\n52YpQnCMRC3KRMkifdJZHRMDqKQfzRTOku/pPF+R2z0gcicqMzL1OHiAu1g/1pWZtewewnM0ITg2\nYuVoKvm9L79b+xVTOhuV312XmRc8WbnT1hwFd/EhuChjJMXlwBiRsamqm3SUhDgyR1PkYobmdyfS\n2Sk1PSEKAE0puQzLS4wqBiSrJJoJzc4oBhQhFbVNFut5ZwJkROZZyVhI/yXANO9F5Z3pz9ImAYrO\nO7PFIawYUEieFQSBlcmzCsgBdSGU7WIxK2wRwhaHUfXYSWOAZQNqEykGJCbS2q+48sht+Rm+48I0\n70aeiioGZNpok0m+AMWAJNDWPkUDTW+yqvtQR49XxLFzRC122SSj0HhRZicVA5JgW/s1GNhY07yu\n+oa6rlDw4pFzF2zqNIQtHz1s4W4nFQOSfUKCbelXK9LZnQs0o8BVXr1XR+9ZyiPO3aHc5U6IXKCZ\nyVbJuYxG1p1gZdIRYGLcBRHuBL08kq9P1ssu0KyzlyN4NwTzaGM0m2FpIooB+Y4DoNud4Oo4jOQE\n+HZeK6WD7F0Y0PQxmm5sAoB7JO/FRMfDBjRbLQa0SR3L9DUzQEwcKk5Hr7j5vOUOyXqH52g2x9J4\nrLdmdEdLzrGXs5vyr3pLQKX9Cusfuh/p7GoZxzbnVlXGi0O12/1OC1E5mv7FmEnL0SwWKA46n+2L\niW63Bg9R7H9MsD6eFUwvBOLwguVounnM9bgYZrcVNURD9j9efnejHM3SVOdo6txu1fbI+2pik2oB\n1qrXH/DOYQtLoycxUcWAJiNHM6zAiSzwofOrxERpuNfP0tjyztzdlPwsjWZ7+yx5VrrdtmJAtuI3\n4J9ER+VohjF5zRQDkqxExN7MUa/rQiiFPi8vLxu1CGHaqPvGVBQDipmjKfN0tV9h8WgEOganedtL\n9VTL/rbKNmoQYY5txYCwHEflaJr3bCAipHCWBNraJ9tY8d7zQOmgmuB1CZY82+f84Oc1sLQB7p2R\noxkyVkw+pmT4gwDSD8SNDej7aATDmel1Bkt31rmfZGU8ovoG2HM0o5QhtkWqiDHiCklDczHlc+1z\nHJtaoKkn2XrybANXJngj4rEutXAnuO1u9NorjOZdlqZNrcSLO6ABk8YMQBkfzcNI1v//zG/KMK0B\nK+2ztLjXBYCm+zhmjk0ccpRdoCnBt/8xYl/RStaT5WrA7QJNRlIeo2s6v46HbHtcBq8RsJKgxGyf\nV4+DK7MecTpGqStfB395V1ZqFiBK2Q5yanuUqGJABlTKxYg6sBw1gFsx3cOEszFxwVUzizLmRoEn\nNx8yUnP3e+swwDs3BdLZsgtMDHtpW4yYCNut34uKjRja43hxqLO97rgo5EpTK511mUszfkJl962w\n3QHprDr2qSGc/2e+Bim7l5J72DnSWWsqgmR1pS/yeSKdnVILsFZRZfqjinqErcCP4v1ua5YnavIs\nJ0ZhhU5ibm+ifYpaiZdysAArIdjefCPprJwoxikGFGZxigHZpLMKgMuiJtqvMAlcEFjpgicesJpe\ncWKTCmurlM7KRQiYuHRW9hHdH8w5PYqliShqEgauAv4HgLjXPzI9m91mjHtttklFwT9mWq3Q3Ix0\n1u0bhrmTQLuRj2Hv6fM6RAyzBeOM82uU199j3MJZky2ddeMwasCVy9xFsXatSmflZ9Z/U92xWXAB\nZ162X3+Pcl/WySqcpYD3aCcUC/6ihbrtL23pbCSLJx619MQEqiPLuCurLNdXvWrh7amkgp9t7hF6\nRWWI1oDmZEhn5cKjba8p09auFLigu2zyOtvdk1ygmc6E98rxahYMCDeA25wu4yCfSz/MsQRTUyKd\nVe8FbspZxttdea0LBuUChAbfNtOAO3IxQveLIcK/28mSzsrfQHMTkd+VWYTpEkw0HuDOtZfrknPN\n+kdJZyXT7WO5wVuMGErFY/9blc7GlZlX8ST3bttGOx1QVe3O1v03rP9EpbMyNgFGdyTl92MqZea2\n+6hIPQCHhS90u3m7bhzMAsxkSmd1KkI9LqP5oOQ+7vPEJt30hEhPHnb0epPnnoraKy+OdPYF2kdz\nR6/H0jSaBEqTq/QBVqLgAauMyEHL2ia4tr0B9eJ5s9JZ2yb0YAeabhyMTFbK37T/YcxEo0m2j6WZ\n5rI07r001ap0NmwSbYtxE9LZWqdm7sJBUmyGVy9E4I2VXN51zgXjhcy4F5MoeeRk52gKZrPmPi92\nOgDTLMCEgQr9nrZI6Sxi/3OzxZ77k1jJOO8VMg4IT+1k6WzNfc3EoZQP3+N60qSzIh5yy0EQaqNM\nkXzeiUnW9I0pzNE07OVo3otDo63HXlrS2ZjMBODvaCbo5rs2HXSUYGDb7JueAx4jKL8wyZyCN1GO\nks5ORo5mXNAtgaaOwwjBH+MO92IXgI+TDwdq8nkY4LbFYTKAd6PzbNJZY3VmV7TRnO/6b4BnOVvz\n9D0RQLMOuOuPKe+zJcttXoNwRjOq6FNchnf3iOts32d9vLjtNgsQJp+5vUwx40pn2zTrHWT/A4C7\nmvWz3GBflNH5zK1IRcHPksdRQhgzcejyFxcbGs1TdCcBhvU2fsuCQhqEGzAJHniqCvAGajFiImMl\nTA3RKJczhux+vCvrsd4GaKqc91I6KJ21AU3NaEYuRkimW8ci6nmY5D6xSbFGoKNDsDR5NwetzkPL\nSV2YdFbmaE4W0LTtDajlb5lwiVerLI0PWPV494duSuZn1g4iogp7GLPlJBprxFZZ4qAlcJMBrKJk\nlZmM64ArHy1knXtK1tZHduI+mpU6uMr5+oR/whyv4EtDhlfkzZj7ZdWl76rZQS8mct9I8PeHyd5H\n03WtkndiAN7YsO7pHJPddd4Ll852i88xi7Z1dVTe/b0wTN6o+/sj/bDlMzcDNC35zKN1YOWqa9x5\n0JACmEOR8bBLZxv3DXHvUPGQcSnnnVgYltMtNUFKLlK1kqPpjotaBsruc8NeynQfG9iOAzrjWsvb\nmySWWGKJJZZYYoklllhiiSWWmM1eWEYzqhiQXNlpV6/V2TvCK5LZTK8W2aSzNkbTsDQTlc7GZUK1\nD5rBk3EwMlu9oipZQM0WyxURLefRuaqjBONg/keceMTNSYxiNHVVer2y005wJcz0kbaUt7yajegc\nOrYm5jJ/QPYNeayls1PB8EqW1PZ96vbXE809hnM8a2TWrrw8FsMr5Oaa/Y+SmQ+oR5h69t+0Uz6a\n77EjKK82/hczHQGW15hkdserRl6u5OY21ntnsv9x4jGGL7fbeQzmd8fN7XYeLfndmvWW94xmGM1E\nOjul1ihfbxBPLpovODdVI33rzIr8M80gyC0sJloMyCYVBV8RHJNv5sngvEmF9ilqJT6KzbCxEgD0\nqDwr2X7JaIaxNfI1Y3L8WtgZ3+siDoa10blWUaxVWK5VIzbHJxU1zrh+V92qo764aEZTSoonmdHU\ncShS8PUJPzMTr9JqYymxkFZrRzJQ7nEc7xh1YhOQSU5iMSCbLNIUZtNMZlhcbMf+9+Jdp9Mw6vUe\nMm6tALci62i+TGHYVRm5/qZs8YhRDMjIY81PdbEzRzlj33KsRLh0thGrH35e/HgY81WEL7g1JfLO\ncabiOJ3Pj6Oz4FLi42pqTmj8N/2gms3WmVxdEb5MvilG88UnndUdoxmgKX+cNNCMlM5GtKdV6Wwz\nQDPqhikrk7YyWdQ/2O1Y8lbdR1m04IWUzg5ht4kATQ2828VrGnjLPIZmFyGgNensVIMJ3cdteby6\nwpucuBl5eRzgLcdMHKDZjHR2ZwBNObkLk5dn8+HgWwJu/ZlyzETl78o2v1BAU0qQ2u3yarLV+Lnd\nEJSbj6TC76fNSmcToDmlViS6AmmXODa5Vkb65ss/kzmJzsmOVQkCrGYlXyFAs5YP5pvpSaPNJ+2z\ntNjSWV1ITuRZgcg/iypw0irQVKBKxsEAbZ1rNTnS2fDjnM8ZIQu05Z/ZgPcEC5y4a2c+YAV+UBF3\nwhw3HlG5v7aicianPyAdzXrgKtuidLaigJWWh5Yo1CWSWiIaVeBlUmTmIUBTp2DkMuX6AkWm6qaz\njPqBp34Ons/yufG/mnE+u0ghdG/r5oDmxMdKGNDMkavHpGBilHGOM67T5Xy5HhsDPm1Wdec0xv+o\nQn0vH6DJDv/hth7/cVyg2SWey3OngtGMmjzHmSxqn4F6mSlZp6iZyaK2eh6aeK7LQsvPiGI09fXN\nFAOKE4+w2kyD6ngijKaMQ4DRpLW+YWM04xYDioqH9tuYBuTNAM1IRlM8SvAtTecEYzkeoTlGcyKL\nEOCBett18jgqtxv8CxBygQr8fYQQ8C3jIfsE+OPQiNG0FUfSfg1jt0ZjJTaj6T4P9A0DPLP+3G7w\nF1erqPx3fa+w9ZFWGc2wcZLYpFijCZLMtcqrIhbUJ7clf56VeM+3sNMK0JRsjWKrRvM530Ratj8u\nM6mtZaAZkX9Wz7PS9wupNooCmgpoG7bG5FrZ4jAVQLMUsSiRDwBNP4iQ+We5UTdH3gWemYpgZWIA\nK8PaSLamnHeL/4XtY0xHaJ+I8ktaK4sy/gJ7JffRDyLKrlIgQ7Uem2zVi02Yeet8nv96Wzbj2yj5\nALBqVPjF5rO0lth/mx9umwsU689Nzq+MjQFYoZ+TyQT8N8dlcnV/dR/RY6QV9t98tnddeN6vWZTR\nrHfBUtFe7xBQplyPTSaic+jPqS9ykBFMZsH3XpFC/fuW37s/Hp5f2uc49sICTalkiQKaYRMk+WOm\nJ99Rk+coEBEHaEYxk1FAk63eS0O9/lPk58gfIpsfcgNsHRPT/rjgysbgyccS4ZNn28QxAB62qmPj\n95j/5W3qC5R9I4w1lsymZnRlXHQMmgHeEkSY31Tbdi+yjVEgSfttOq6eWGvQIT/H+Gj7buUihDwe\no/m+oa+3LcaY4zh9Q/sUBSaiQEfYWLGpGeQkN6yvS9Y7zBqNlShZNQTl5tAYQIa9HrUooVkQaXJh\nBuz+BJQhluJqNmWIuT5KZq7vp7rtkffVxCbT9MRJTx7kcaBaopgwV135WyXjBxFZWyVNG+AMqygq\n2BrDVplJdZFCfSKtJ82y3dqnqLL88tyoyaIEVra9dw2IqBaKXkxcqXFGF/hoAK5swAr8cQhna2zF\ngPx+hU0YGwHSLjGA9Xu2gmH1/XpdtkkCTwOsjEWxVpWM3/9RcvXJczAOzmNJMZphE2nbsbFGY2XI\nAjTr7beAiIoCATnKXpX8Jrce05XQZQVw09awsTLki0trYyUKhOcsoFu2XwJwc64ZX3Kv63rBqRDz\n7QevAKeze7YffOs+YgPe2q+4Y6UUAJ7xFmVMdVoPaLrb9blxGSVfv99EbcUWxho3GivG3/BFmYL1\n9bg2xUBTgYzaHP+xbcIYR/o6FZNnW66mBhS2yWKAsdPACsD4LUDooAKacSZZNrZNVqCFYCl0CMZU\nYp2w0uumPRJomnM0WyXbHgAPGnj32k+MA7zjfLe2ye9EpbO2PVbBLguEBsBbB2iSgLe53NwDbFJi\nnetjTPYVfQ+T/cKWvwuOS2F7rDYFuqHeWcUe6YHrZCwaVSSWoMrG8oI116NuNpm5bXFKA6ywfOYw\nkAV+n6U1ks5GLdjJ/hylDAH7okxcthuc9octRsj7aRxwmQDNKbXgSnxjeaRt8ltnJeqMnmE4y3XQ\nUM+7ipgvalBVzXoyOJ1jJVkKDbCiWZrwlfiwSZX8bNtn6gmdnDDagBXgA1fNAivAN2G0ASvZTtn2\nqEmwNM30xQFWUcCookCAidloPtc0sJLXOyAiCKykD84k2mt/FLjSfhtrzP57N3W9KGPzo6DjQC4Q\nx7j7GEtpJARBhOwjmrkrRoCHVtn/bnFD17JqbbJf2MA3NL/HtWTwnGOP0dV9ROeqthKPZvpGVEzN\nd9qhAKdpc47RlsZKWTC8mtEdrcfDY/3DGP+JSmeTqrOJJZZYYoklllhiiSWWWGKJTapNMaOp2Ru1\nZD8oVpDManscOaBkrcIqktnMtq9XWP6dy+Q9fxOc+DFY/hjccSVc/gtY8iPvIw8/fISLL25j0aI0\nAwNw1VUz+MpXnqVmzU2UbOde/rfkyr5kJaQ/uvCVlAMadsaEWC7ORbE05nzNbIYUA3r+v+HEs2H5\n43DHD+HyX8KSnzlvv2p/OO87cPDBMH8+XHEFnHGGZnj3ch8V0xnF8JpuFPbdjmFnMkEVwQm53nwG\n2BlenW8mWO/nr4ATvwTL++GOH8Hlv4Ylv3De/sh74INvgQMPhHwenngCvvvdKr/8paT5YjK8Mh6t\nMry6MmSzDK9NVg31/Lvnvw8nfh2Wr4I7vg6X3whLrnVOeeORcN5/wr77QFcnPLcOfrm4wgUXlPDn\ntlsY3mH1xcnwRfVzaTJHMUo6GyarjpLOSibP/RqfPxdOvAyWb4A7vuTG4i7V9mFYsB/cfwvk2iCX\nC5FVayZR31blcRxlSJiUsSSui9M3bGMm5H76/GfgxEvdcXIOXP5HWHKv0/Z/eSNc8dngvznuOLjt\ntoh2JNayNcrJ8ktnw1ewK2rAVNwiFOVCjlzVFPRwJV9KJum/zquOCA6LqVflJTNRpMCr+SPL+RyD\nPMEifsAqbqaflfXPnM7+HM9JzGQ2IxS5g6f5DfdZywbI1fu40shGLJ6NwYP48kgbgwd+ZlMyeEdx\nE8v4Mjt4kn/guzzF7+jnMQBmMIu38s/MZA966WU5D/A3/mb9343YbsnSdLg/AmG+OLJAu5wvQ3Df\n3rDPsD2OkrcyeOb4OK7jTi6gyEZO5Fwe54/08wQAB3IEb+Ro9mBXsmTYyFb+m9XcxbMN4xE9VoLs\nfxhbJeWiJjZaji3ZPD3WZIGXUSWLlOxVkQJv50p+z7fZwhpO5Cus5E7W8RQA89mPd3IiuzGNPDm2\nMcStbOIXPEnVMlqkv5oll+PISEU1I2ljdvOKyTS+ymvDJLjyfC0PtfWRf+IqbuVblNjAO/gc97OU\nx3jQ1/YSBWYxnfN5OxkyvI47AnHQ/sr/YTsOlxJnLUykq4JwY1glE7jO1sf0sbxXhLH/J/MD/psf\ns4F+TuZT3M99/I2VFClwOAdwCm8O+H0mj3G/NU3Qbjs3R1MfV8SXZCbSUblFxqQ8bqJVZyO2N5k/\nAwp5ePCv0JaFww6Cu2+nPtGaMwf+8Icc1103ymmnDfOKV2S54ordSaXKfOlLT1gaIIG2Bloif7VR\n3pn0x1b0RPoI8XISdRws25vMn+bGY7mIx8epT3Q7xmHNmlFuuGGcc87JUatVCdcDNuikElgZgB0W\nC5u8URaimGgxoJCqs/O7oZCDBx+CtjIctgDuvtdr++tfA7/9Lfzbv8HAALzznfCLX+xCpVLkuutM\nWVZjKh5RQNP41uyiymRXaBZgYn6XG4uV0JaBw/aHu7/ktXv7Rrj4O/DwwzA4CK9+Nfz4Rzm6u8f4\nzGfkYoQFeMcB3dD4+9Uxkf0irI/I+EXlaIo+Mn9XKLTBg49D2wgctjfc/VcCEuuOKlx7Ofzpdjjh\nOIgtq44DvBuBbu2buSZq4c7Wp+RjSD7z/D4RjzQctg/c/SBOLIadc6vjMOsQSJmU0A1jDMitcYDo\nDptYM6Yny81MGLMxJjgZqnXQmc3EBxNywqgnS37J176kaWcjz5Gih+m8gue4tN7uLmbwXs7gYR7h\n1/wPu7AL/8Q7qdDGL1luiUd43pl8r0P8njXyxwas9KMGFvKaqLwzc+x9T048nmcdKXroZV/6WVNv\nezfdbGaIldzN6ziCCplQKXEzwMpIhW35quAHR1pCK/2faN6ZlkemmE+aPOtYzyjT6GNvnuGZettn\nsYAHWM3T3EORERaxL2dzNCVy3Mm6yHi0Aq6kVdXNWS4q6OuiwIQs8GLeswHuDHuTIc9aNpKmi93Y\ni1X8st7u7dS4hUdYywAjjDGPXfgXjqWNdi5xwWiYv60AK21yUcbWR2yx0PGwAStzLIFVN7vXYzFC\nN7uyF09yfUBiXaGbj3M8K9nAIewRKque6CKEtrD7aZVs04sQ4JcSa8lsiQ6msStZ8qxmK2m6mcUc\nHudGinS4OeB5xhnnA9xCyq3XsIa92EGVShNFgV5YoImYQA66kwjb5Fkv9MuVeD1pbnYlPqxK4igc\ndSQsWwG1HfCaw2HLFlj7d+8DPvaxNNu2jXP66WsBePxxOPfcHXzrWwu54IIHGRnRHUpOqDXoFkBT\nTqSbnTzripoQnaOpy2rbwIQbk6OOgGUroTYIrznMjccT3rUP3AcP3LcJgNNO28V9w5azCsFJdQTw\njmK7ZdvBz86AvzJxM8BMMr02ths4ahEse8SNx76wZQDWPkXdtQ99AKh4fn3nO/C611V4z3s6ue66\ntaoByn+9kNgsa2XLZ9ZjZBLzmY86EJFP3A4AABgQSURBVJY9BrUheM1BbixWe+1edhcsE3uqru2H\nY4/ZyjHHdGFfdBCvxQHd0Pj7tQErc10jDBPFmqsczaMOgWVPuP1iLmzZDmtXBdt+2YVw5+2w7D54\n8/HQcj7zZLDd5popyGc+6kBY9pQbj1e68Vgj2j4C1GCzJBMGbZWiei2vJdaKBfMQ408YzaOcIBqT\nzEwYwLJZEFTlApMlmY+5K4exjb9TpINdeCUjDLGZEkU3YflQjqfEKNfwBwCe4VkGeZQPs5CreYIy\nfnY1iqWxASvjY5Q/YZPmuODKBqyceARzNHfl1WzhCYq0syuvoMSwG49dAFjNFpZxLwCHcSgVshFA\nM/4ihPmMKEZTP5d9ZLJyNPUkeg8WsomnKdFBD6+kRJGNjFKiD4BfciPrmFX/H/08zkz25yj25Hf4\nV7gmg7WSpvtFjlErsNLHNhBiA1byuEiBuRzA86ymSAez2JsiRTZQro+VvzPAOuHjWjaxK1s4lF4r\nwIq7KBMHWBk/gkWkggyvHi8VX9/SrL+9GNBcDmAdz1Ckgz5eQZEiz1MGF1gZ+wj/wEq28ne2sohZ\nsRdlJr4I4e/r9a2lyDS9COH4H104a28OYC39lGhnHnsyzAjPUwG3iFSZNiDFBjEhWBsoBNHYdm4x\noMBxn/e04k4iTBEI2/Ym5jXb3oB6PEQVsbCBCPE4sBRq45DPQToNW5+AtjZH/rh1I9RqGfr6tnHU\nUd3ceuuAz6/f//4pLr301SxalObeezepfywnkhGy4iHhTKMJnwYU5nzzcY3ASBjAEqBi4E9Qq7nx\nSMHWlQ6jmc/D1megVqvR16eR+gz3H4Qxl7ovRADvRlVnbRJiW2ViY80Cb9VHBm5w49Hm9o87RTwe\nct7rq3dtv1/Tp3ewalWJoP8NgLes2NxM1VkJvPV1zQJvLSsegoHFIhYp2Po7NxZtsPUeZxz17R70\naf/905xwQie/+c1m7OVnhf8adLdSdbaTYL+RwLuZqrN6mxNXZj/wXyoWP3PY3XwOtv7R7Rf7OJd8\n8L1w6KHwmtfA+95n/knYWGkgM7dVnY1asNtJMvOBS9x4ZEU8TN+43o3HQUARMhl46kHo6IC//x0u\numiMm2/WaogEaE6WNVqJj1MMqGABEVIOaCY2UQArjK1yJtFBOeCx3EwNSJMjRYp3cDVpMqRp44Nc\nzjgpLuQ/mMl+PEK/z6972M5HyTCLmTyqflSiCv5IqaiMW1RxpA6KoZPmyZLOlihwAr8GIE0bKVKc\nzBX1eJzG9xgnxQV8y+dXhQxjtAW+c2OTUpFYfJ9hcsA85UhgJT9PPo+SA76Dq914ZEmR5sNcRooM\nWbJ8km8yDnyRS61+ddDOc4zG8L/5sWLzScYobKzYrw+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370+88soUTp36AfX1Nnbt+oKX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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x4675b50>"
       ]
      }
     ],
     "prompt_number": 33
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "M3.plotImage(Ba, imageType='F')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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37mq27aGnLT8BEMlA8szev1ibgfjzHrG8xQ023fI5MoigAR64Upd8bDvd6Bj+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UQ79Xd0gFaSvLblSnldKSu4Xl4hhOjIpKMphBDtFNbT0QlaR/LalivldaWs4Hp5hRCiI5OOphBC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\nXTN6ydShK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       "text": [
        "<matplotlib.figure.Figure at 0x466be10>"
       ]
      }
     ],
     "prompt_number": 34
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "Bnum = G*x\n",
      "# Bnum = G*x\n",
      "\n",
      "M3.plotImage(Bnum, imageType='F')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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HLG9zi633/B7pRFAXN3R4k4t1txsdyZt4UguN6WTZKSwA02RxrOlO8p/zXolr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hDGjOmLq6tCZmYxy5bt5kN7Zb0VphXDgWOm+3bqVC2JiWEMHx6Fh4eWvLwLfPjhjyyuhroGO+WN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\nyTzb5e1E2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       "text": [
        "<matplotlib.figure.Figure at 0x85fcf90>"
       ]
      }
     ],
     "prompt_number": 44
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "print Mc.diagonal()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "[ 0.01307576  0.01005828  0.00773714 ...,  0.00773714  0.01005828\n",
        "  0.01307576]\n"
       ]
      }
     ],
     "prompt_number": 45
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "#### Compute error for B"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "print np.linalg.norm(Ba[~ind]-Bnum[~ind])/np.linalg.norm(Ba[~ind])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "0.00104365335183\n"
       ]
      }
     ],
     "prompt_number": 46
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "clf;\n",
      "plot(Ba[~ind]); hold\n",
      "plot(Bnum[~ind], 'r')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 47,
       "text": [
        "[<matplotlib.lines.Line2D at 0x6d16110>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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2xCmbs1g1uo9AqX0KFamMEGeCkYvOE5vunReJkY/H85eEWdTtjvM09x5E+YP5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\nTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x6d16190>"
       ]
      }
     ],
     "prompt_number": 47
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "#### Compute error for $\\phi$"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "print np.linalg.norm(x-Phia)/np.linalg.norm(Phia)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "1.31230938236\n"
       ]
      }
     ],
     "prompt_number": 38
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plot(Phia); hold\n",
      "plot(x, 'r')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 39,
       "text": [
        "[<matplotlib.lines.Line2D at 0x6d23f10>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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t3rW/UR1/ffumL87egpdRZqvCpEuSZHvIj3ERAKDg7+iKVq3de1D5W4n6vrAk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\nPvZs9xi0A8eO5ey4aOkSSPe9NR55pM8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Ayi0Tt2RjIJMbQkN0qfKHiKw6RZMpB7J2baBt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\nAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x4cc4650>"
       ]
      }
     ],
     "prompt_number": 39
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Here we can recognize that there are some static... since we do not treat null-space of $A$ properly"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "### Nonthless, it works :)"
     ]
    }
   ],
   "metadata": {}
  }
 ]
}