{
 "metadata": {
  "name": ""
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from SimPEG import *\n",
      "from simpegPF.MagAnalytics import spheremodel, MagSphereAnalFun, CongruousMagBC\n",
      "%pylab inline"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Populating the interactive namespace from numpy and matplotlib\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "WARNING: pylab import has clobbered these variables: ['axes', 'info', 'flag']\n",
        "`%pylab --no-import-all` prevents importing * from pylab and numpy\n"
       ]
      }
     ],
     "prompt_number": 24
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# Writing magnetostatic problem with secondary field formulation\n",
      "\n",
      "## - Here we focus on cell-centered system with FVM-Weak form"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "## Step:1 Generating mesh and operators"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "hxind = ((5,25,1.3),(41, 12.5),(5,25,1.3))\n",
      "hyind = ((5,25,1.3),(41, 12.5),(5,25,1.3))\n",
      "hzind = ((5,25,1.3),(40, 12.5),(5,25,1.3))\n",
      "hx, hy, hz = Utils.meshTensors(hxind, hyind, hzind)\n",
      "M3 = Mesh.TensorMesh([hx, hy, hz], [-sum(hx)/2,-sum(hy)/2,-sum(hz)/2])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 25
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "## Step2: Generating model $\\mu$\n",
      "\n",
      "### $\\mu = \\mu_0(1+\\chi)$"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "mu0 = 4*np.pi*1e-7\n",
      "chibkg = 0.\n",
      "chiblk = 1.\n",
      "chi = np.ones(M3.nC)*chibkg"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 27
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "sph_ind = spheremodel(M3, 0., 0., 0., 50)\n",
      "chi[sph_ind] = chiblk\n",
      "mu = (1.+chi)*mu0"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 29
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "## Step3: Compute Boundary condition $\\mathbf{B}_{sBC}$ using congruous sphere method"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "BC = [['neumann', 'neumann'], ['neumann', 'neumann'], ['neumann', 'neumann']]\n",
      "Box = 1 # Primary field in x-direction (background)\n",
      "Boy = 0 # Primary field in y-direction (background)\n",
      "Boz = 0 # Primary field in z-direction (background)\n",
      "B0 = np.r_[Box*np.ones(np.prod(M3.nFx)), Boy*np.ones(np.prod(M3.nFy)), Boz*np.ones(np.prod(M3.nFz))]"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 30
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "Bbc = CongruousMagBC(M3, np.array([Box, Boy, Boz]), chi)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 31
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "figsize(10,10)\n",
      "M3.plotGrid()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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ZszzOnGHna1plUlI4bNkSQP36OtJmhEsSMHGiA6++asf8+UE0aaLhnXcuoV07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BRk/REIBIJ4JBysHOaHHzw0aGDNdw0b6nTtWjFSZfmrr8rmQq6k+miVZYTgKQRnt5Yo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2oYfEyAuAhQvDVK5s8O9/uyhf3qBmTZ0VK2Q6dRLbTpoUIStLrGHx4rxhnAMHZKZM8R1bv8H8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\nQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x338be50>"
       ]
      }
     ],
     "prompt_number": 32
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "M3.plotImage(np.log10(mu), imageType='CC')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 33,
       "text": [
        "<matplotlib.collections.QuadMesh at 0x92842d0>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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fHx9lZGRIkk6cOCF/f3/bff39/ZWamlpqu5+fn1JTU41NBAAAwFm4lWennTt3qn79+vrp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\nyViwiIiIiCRjwSIiIiKSjAWLiIiISDIWLCIiIiLJWLBMKCX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mTdIvZ0bFUlNT9d/MycnJ\nwd69e+Hr68t87jN37lwkJCRAq9Viw4YNeOWVV7B69Wpm9Lfs7GxkZmYCAO7cuYM9e/bAy8uL+fzN\nyckJTZo0waVLlwAA+/btQ+vWrREUFMR8HrB+/Xr9x4MAt9NV4iB3IYTYtWuXaNmypXBzcxNz5861\n9HDMZtCgQcLZ2VlYW1sLFxcXERERIdLS0kTXrl1FixYtRPfu3UV6err+9p988olwc3MTrVq1ElFR\nUfrlv/76q2jTpo1wc3MT48ePt8RUTOLIkSNCoVAIHx8f0bZtW9G2bVsRGRnJjP72+++/C19fX+Hj\n4yO8vLzEggULhBCC+TzEwYMH9d8iZEbFrly5Inx8fISPj49o3bq1fvvLfO45ffq0aN++vfD29hYh\nISEiIyOD+TwgKytL2Nvbi9u3b+uXPekZmfVvERIRERE9CarER4RERERENQkLFhEREZFkLFhERERE\nkrFgEREREUnGgkVEREQkGQsWERERkWT/D0bDGosJdk+gAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x57af690>"
       ]
      }
     ],
     "prompt_number": 33
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "## Step4: get system matrix $\\mathbf{A}$ and right handside\n",
      "### 4.1 Backgrounds: Weak formulation for Poisson equation with cell-centered system\n",
      "\n",
      "### $$\\frac{1}{\\mu}\\mathbf{B}_s = (\\frac{1}{\\mu}_0-\\frac{1}{\\mu})\\mathbf{B}_0+\\nabla\\phi_s$$\n",
      "\n",
      "### $$\\nabla \\cdot \\mathbf{B}_s = 0 $$\n",
      "\n",
      "\n",
      "### $$ (\\mathbf{B}_s\\cdot{\\bar{\\mathbf{n}}})_{\\partial\\Omega} = B_{sBC}$$\n",
      "\n",
      "### In discretized form we have \n",
      "\n",
      "### $$\\mathbf{diag(v)}\\mathbf{D}\\mathbf{P}_{in}^T \\mathbf{P}_{in}\\mathbf{B}_s +  \\mathbf{diag(v)}\\mathbf{D} \\mathbf{P}_{out}^T B_{sBC}=0$$\n",
      "\n",
      "### $$\\mathbf{M}^f_{\\frac{1}{\\mu}}\\mathbf{B}_s = \\mathbf{M}^f_{\\frac{1}{\\mu_0}}\\mathbf{B}_0-\\mathbf{M}^f_{\\frac{1}{\\mu}}\\mathbf{B}_0 -\\mathbf{P}_{in}\\mathbf{P}_{in}^T\\mathbf{D}^T\\mathbf{diag(v)}\\phi_s$$\n",
      "\n",
      "### $$ \\mathbf{Div} = \\mathbf{diag(v)}\\mathbf{D}\\mathbf{P}_{in}^T \\mathbf{P}_{in}$$\n",
      "\n",
      "### $$ \\mathbf{Div}\\mathbf{B}_s +  \\mathbf{diag(v)}\\mathbf{D} \\mathbf{P}_{out}^T B_{sBC}=0$$\n",
      "\n",
      "### $$\\mathbf{B}_s = (\\mathbf{M}^f_{\\frac{1}{\\mu}})^{-1}\\mathbf{M}^f_{\\frac{1}{\\mu_0}}\\mathbf{B}_0-\\mathbf{B}_0 -(\\mathbf{M}^f_{\\frac{1}{\\mu}})^{-1}\\mathbf{Div}^T\\phi_s$$\n",
      "\n",
      "\n",
      "### $$\\mathbf{A} = - \\mathbf{Div}(\\mathbf{M}^f_{\\frac{1}{\\mu}})^{-1}\\mathbf{Div}^{T}$$\n",
      "\n",
      "### $$\\mathbf{rhs} = - \\mathbf{Div}(\\mathbf{M}^f_{\\frac{1}{\\mu}})^{-1}\\mathbf{M}^f_{\\frac{1}{\\mu_0}}\\mathbf{B}_0 + \\mathbf{Div}\\mathbf{B}_0-\\mathbf{diag}(v)\\mathbf{D} \\mathbf{P}_{out}^T B_{sBC}$$"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "Dface = M3.faceDiv\n",
      "Pbc,Pin, Pout = M3.getBCProjWF(BC, discretization='CC')\n",
      "Mc = Utils.sdiag(M3.vol)\n",
      "Div = Mc*Dface*Pin.T*Pin\n",
      "MfmuI = Utils.sdiag(1/M3.getFaceInnerProduct(mu = 1/mu).diagonal())\n",
      "Mfmu0 = 1/mu0*M3.getFaceInnerProduct()\n",
      "A = -Div*MfmuI*Div.T\n",
      "rhs = -Div*MfmuI*Mfmu0*B0 + Div*B0 - Mc*Dface*Pout.T*Bbc"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 34
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "print MfmuI.shape, Div.T.shape"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "(397851, 397851) (397851, 130050)\n"
       ]
      }
     ],
     "prompt_number": 35
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import petsc4py\n",
      "import sys\n",
      "from sys import getrefcount\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)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 36
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# u1 = PETSc.Vec().createSeq(M3.nC)\n",
      "# u1.set(1)\n",
      "# u1.normalize()\n",
      "# basis = [u1]\n",
      "# nullsp = PETSc.NullSpace().create(False, basis, comm=PETSc.COMM_SELF)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 37
    },
    {
     "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.BCGS)\n",
      "pc = ksp.getPC()\n",
      "pc.setType(pc.Type.BJACOBI)\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",
      "print ksp.its# print ksp.its\n",
      "phi = IO.vecToArray(xpetsc)\n",
      "print np.linalg.norm(A*phi-rhs)/norm(rhs)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "81\n",
        "7.00090107929e-09\n",
        "CPU times: user 639 ms, sys: 7.95 ms, total: 647 ms\n",
        "Wall time: 647 ms\n"
       ]
      }
     ],
     "prompt_number": 39
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%%time\n",
      "m1 = sp.linalg.interface.aslinearoperator(Utils.sdiag(-1/A.diagonal()))\n",
      "phi, info = sp.linalg.bicgstab(A, rhs, tol=1e-6, maxiter = 1000, M =m1)\n",
      "# m1 = sp.linalg.interface.aslinearoperator(Utils.sdiag(np.sqrt(1/(Utils.mkvc(-A.diagonal())))))\n",
      "# m2 = m1\n",
      "# phi, info = sp.linalg.qmr(A, rhs, tol = 1e-5, M1 = m1, M2=m2)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "CPU times: user 994 ms, sys: 0 ns, total: 994 ms\n",
        "Wall time: 994 ms\n"
       ]
      }
     ],
     "prompt_number": 41
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "print info\n",
      "print M3.nC"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "0\n",
        "130050\n"
       ]
      }
     ],
     "prompt_number": 42
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "B = MfmuI*Mfmu0*B0-B0-MfmuI*Div.T*phi\n",
      "rhsa = A*phi\n",
      "print info\n",
      "print np.linalg.norm(rhs-rhsa)/np.linalg.norm(rhs)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "0\n",
        "7.98141453262e-07\n"
       ]
      }
     ],
     "prompt_number": 43
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "#### BICG, qmr or BICGstab with Jacobi preconditioner works well (scipy), minres does not work ... Need to play with some other iterative solvers. Remeber that our system has null-space, which is constant"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "figsize(16,5)\n",
      "M3.plotImage(B, imageType='F')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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4gQmMZytbATzmbAmCoB9G8HXRxBBBBHv5iWIukkgC29nh4mdGMyqgn0kmhRGMYj1reZvZ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\ngg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7477190>"
       ]
      }
     ],
     "prompt_number": 17
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "## Step4: Compute analytic function (sphere in whole space)\n",
      "\n",
      "### Outside of the sphere $(r>R)$\n",
      "\n",
      "### $$\\mathbf{H}_1 = H_0 \\hat{x} + H_0\\frac{R}{r^5}\\frac{\\mu_2-\\mu_1}{\\mu_2+2\\mu_1}[(2x^2-y^2-z^2)\\hat{x}+(3xy)\\hat{y}+(3xz)\\hat{z}]$$\n",
      "\n",
      "### $$H_{x1} = H_0 + H_0\\frac{R}{r^5}\\frac{\\mu_2-\\mu_1}{\\mu_2+2\\mu_1}(2x^2-y^2-z^2)$$\n",
      "\n",
      "### $$H_{y1} =  H_0\\frac{R}{r^5}\\frac{\\mu_2-\\mu_1}{\\mu_2+2\\mu_1}(3xy)$$\n",
      "\n",
      "### $$H_{z1} =  H_0\\frac{R}{r^5}\\frac{\\mu_2-\\mu_1}{\\mu_2+2\\mu_1}(3xz)$$\n",
      "\n",
      "### Inside of the sphere $(r\\le R)$\n",
      "\n",
      "### $$\\mathbf{H}_2 = H_0\\frac{3\\mu_1}{\\mu_2+2\\mu_1}\\hat{x}$$\n",
      "\n",
      "### $$H_{x2} = H_0\\frac{3\\mu_1}{\\mu_2+2\\mu_1}$$"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "## Step5: Projection to receiver locations"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "xr = np.linspace(-300, 300, 41)\n",
      "yr = np.linspace(-300, 300, 41)\n",
      "X, Y = np.meshgrid(xr, yr)\n",
      "Z = np.ones((size(xr), size(yr)))*80"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 18
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "rxLoc = np.c_[Utils.mkvc(X), Utils.mkvc(Y), Utils.mkvc(Z)]\n",
      "Qfx = M3.getInterpolationMat(rxLoc,'Fx')\n",
      "Qfy = M3.getInterpolationMat(rxLoc,'Fy')\n",
      "Qfz = M3.getInterpolationMat(rxLoc,'Fz')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 19
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "Bxr = np.reshape(Qfx*B, (size(xr), size(yr)), order='F')\n",
      "Byr = np.reshape(Qfy*B, (size(xr), size(yr)), order='F')\n",
      "Bzr = np.reshape(Qfz*B, (size(xr), size(yr)), order='F')\n",
      "H0 = Box/mu0\n",
      "\n",
      "flag = 'secondary'\n",
      "\n",
      "Bxra, Byra, Bzra = MagSphereAnalFun(X, Y, Z, 50., 0., 0., 0., mu0, mu0*(1+chiblk), H0, flag)\n",
      "Bxra = np.reshape(Bxra, (size(xr), size(yr)), order='F')\n",
      "Byra = np.reshape(Byra, (size(xr), size(yr)), order='F')\n",
      "Bzra = np.reshape(Bzra, (size(xr), size(yr)), order='F')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 20
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "figsize(10, 4)\n",
      "plot(Utils.mkvc(Bxra))\n",
      "plot(Utils.mkvc(Bxr), 'k:')\n",
      "plot(Utils.mkvc(Byra))\n",
      "plot(Utils.mkvc(Byr), 'k:')\n",
      "plot(Utils.mkvc(Bzra))\n",
      "plot(Utils.mkvc(Bzr), 'k:')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 21,
       "text": [
        "[<matplotlib.lines.Line2D at 0x33a4250>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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fimeJJ4YSA+UVymfsvjj2BZ8f/Vxx/B8xNjCQO0aM4HjpcXqmJJGfm2sz3qGx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2Cx6PHwcN6Ut5ubm+MhhBDDTYo0IUaQh/38eGAQ40PGjyemuyGthm2hAH5cW0vesWParikCGAys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\ngI3jwNkMYu8AAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x33a1110>"
       ]
      }
     ],
     "prompt_number": 21
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "fig, ax = subplots(3,2, figsize = (10,15))\n",
      "dat1 = ax[0,0].imshow(Bxr); fig.colorbar(dat1, ax=ax[0,0])\n",
      "dat2 = ax[0,1].imshow(Bxra); fig.colorbar(dat2, ax=ax[0,1])\n",
      "dat3 = ax[1,0].imshow(Byr); fig.colorbar(dat3, ax=ax[1,0])\n",
      "dat4 = ax[1,1].imshow(Byra); fig.colorbar(dat4, ax=ax[1,1])\n",
      "dat5 = ax[2,0].imshow(Bzr); fig.colorbar(dat5, ax=ax[2,0])\n",
      "dat6 = ax[2,1].imshow(Bzra); fig.colorbar(dat6, ax=ax[2,1])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 22,
       "text": [
        "<matplotlib.colorbar.Colorbar instance at 0x84e4518>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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HVf6iz2scOWxYXNYHf7mwa9cuHDhwAABw4MAB3HLLLV1xrrnmGhw7dgwvvfQS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W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\nSysF/X/udy/acOGiHAAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x33a1590>"
       ]
      }
     ],
     "prompt_number": 22
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "fig, axes = subplots(1,3, figsize=(16,5))\n",
      "epsx = np.linalg.norm(Utils.mkvc(Bxr))*1e-6\n",
      "epsy = np.linalg.norm(Utils.mkvc(Byr))*1e-6\n",
      "epsz = np.linalg.norm(Utils.mkvc(Bzr))*1e-6\n",
      "id = 21\n",
      "axes[0].plot(Y[:,id], Bxra[:,id], 'b', Y[:,id], Bxr[:,id], 'r.'); axes[0].set_title('$B^s_x$', fontsize = 16)\n",
      "axes[1].plot(Y[:,id], Byra[:,id], 'b', Y[:,id], Byr[:,id], 'r.'); axes[1].set_title('$B^s_y$', fontsize = 16)\n",
      "axes[2].plot(Y[:,id], Bzra[:,id], 'b', Y[:,id], Bzr[:,id], 'r.'); axes[2].set_title('$B^s_z$', fontsize = 16)\n",
      "print X[1,id]"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "15.0\n"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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HH8O2bXD77WZHIiLBzFedj2tKTobKLeVFRJplzx6joV1ERNOfq6RWmkpJbQgI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\nIiLis/4/m6PClLpE2w8AAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x4b21e90>"
       ]
      }
     ],
     "prompt_number": 23
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [],
     "language": "python",
     "metadata": {},
     "outputs": []
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "fig, axes = subplots(1,3, figsize=(14,5))\n",
      "epsx = np.linalg.norm(Utils.mkvc(Bxr))*1e-6\n",
      "epsy = np.linalg.norm(Utils.mkvc(Byr))*1e-6\n",
      "epsz = np.linalg.norm(Utils.mkvc(Bzr))*1e-6\n",
      "axes[0].plot(Y[:,id], abs((Bxr[:,id]-Bxra[:,id])/(Bxra[:,id]+epsx)), 'r.')\n",
      "axes[1].plot(Y[:,id], abs((Byr[:,id]-Byra[:,id])/(Byra[:,id]+epsy)), 'r.')\n",
      "axes[2].plot(Y[:,id], abs((Bzr[:,id]-Bzra[:,id])/(Bzra[:,id]+epsz)), 'r.')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 59,
       "text": [
        "[<matplotlib.lines.Line2D at 0x851d590>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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HDh0C4IUXXuDRRx/FarUSHR1NeXk5U8x2a4biYjhzpvdm5fv3j9tbS0gAjYN1\nSsODi0hAmDUvzRq3SKQya06OedzD3Uh1ueDo0d6/Cwt778MnMhrDWadCVFRpeHARERGR8ebMmd6N\n1Kqq3o3QoUya1PtvXh7s3h3c2GR8GM46Ndz1NUyoUBIRERExm+EWPvv39+71P3IkIk+RkhAYzjpl\n0kJdp96JSECYNS/NGrdIpDJrTo553G1tvXvmd+9W4SPhL0Tr62jzMrILpXFwkZlIUIwgd7RxIyKB\nYNacDJu4te0joRZG66CuURqMSc+HFAk55Y6IiDmp/5ZQi6B1MLILJZOeDykScsodERFzUv8toRZB\n62Bkn3qn83dFRmYEuRM2p50Mk1njFolUZs3JsIlb2z4SamG0DuoaJREJC2bNS7PGLRKpzJqTZo1b\nJJLpGiUJruLi3huKLVzYu4fALMwat4iIiIiEBRVKMjizXpBn1rhFREREJCyoUJLBmfWCPLPGLSIi\nIiJhQdcoyeDC6IK8YTFr3CZm1rw0a9wikcqsOWnWuMeFYN7XJ4zuGSQDaTAHEQkLZs1Ls8YtEqnM\nmpNmjXtccLl6T8cHKCyEQ4fMMW0ZNQ3mICIiIiJyOcE8HV+n+kc0HVESkYAwa16aNW6RSGXWnDRr\n3ONCME/H16n+YU2n3olIWDBrXpo1bpFIZdacNGvcIpFMp96JiIiIiIgEmAolERERERGRflQoiYiI\niIiI9KNCSUREREREpB8VSiIiIiIiIv2oUBIREREREenHvIXSwoW9Y9eLSOgVF4/5LKurq3E4HKSm\nplJWVjbgfY/HQ0xMDE6nE6fTyaZNm8Y8RhEJnqH6gNbWVhYsWEB2djaZmZns2bPH915paSmzZs1i\n9uzZFBUV0dnZCcA777xDfn4+M2fO5I477qDtou2M0tJSUlNTcTgcHDlyJOjLJyKhZ95CqaoqJBtn\nInIJZ86M6ey6u7v5yle+QnV1NadOnaKiooLTp08PaHf77bfz6quv8uqrr/Kv//qvYxqjiASPP33A\nzp07cTqd/PGPf8Tj8bBu3TouXLhAY2Mjjz/+OMePH+e1116ju7ubAwcOALBlyxby8/M5c+YMn/3s\nZ9myZQsAp06d4uDBg5w6dYrq6mrWrl1LT0/PmC+3iIwt8xZKeXm9d0EWkdCbNGlMZ1dbW0tKSgpJ\nSUlYrVaWLl1KZWXlgHa6+aNIZPKnD5g+fTrt7e0AtLe3ExcXh8Vi4aqrrsJqtdLR0cGFCxfo6OjA\nZrMB8Ozh7e0tAAAgAElEQVSzz7JixQoAVqxYwTPPPANAZWUly5Ytw2q1kpSUREpKCrW1tWO4xCIS\nCuYtlI4cgSlTQh2FiADs3z+ms2tubiYxMdH3PCEhgebm5j5toqKiqKmpISsri4ULF3Lq1KkxjVFE\ngsefPmD16tXU1dURHx9PVlYW27dvByA2NpZ169Zx/fXXEx8fT0xMDPPmzQOgpaWFadOmATBt2jRa\nWloAePPNN0lISBh0fiISeSyhDmDEVCSJhI8xzseoqKgh2+Tk5NDU1MSkSZOoqqpi0aJFnLnMKYIl\nJSW+v10uFy6XK0CRishQPB4PHo9nWJ/xpw/YvHkz2dnZeDwezp49S35+PidPnqSlpYVt27bR2NhI\nTEwMhYWF7Nu3j+XLlw+Yx2DzudR7fvclxcW9pyxPmtS7o0nbNCL+GSJ3RtKfDMa8hZKIjFs2m42m\npibf86ampj57ewEmT57s+/vOO+9k7dq1vPPOO8TGxg6Y3sUbNyIytvoXFBs3bhzyM/70ATU1NWzY\nsAEAu91OcnIyp0+fpqGhgVtuuYW4uDgAFi9eTE1NDcuXL2fatGm8/fbbXHfddbz11ltce+21l5zf\nuXPnfKfrXczvvuTMGTh6tPfv4mI4dMi/z4mMd0Pkzkj6k8GY99Q7ERm3cnNz8Xq9NDY20tXVxcGD\nBykoKOjTpqWlxXeNUm1tLYZhXLJIEhHz8acPcDgcuN1uoLc/qK+vx263k5aWxrFjx/jwww8xDAO3\n201GRgYABQUF7N27F4C9e/eyaNEi3+sHDhygq6uLhoYGvF4vc+bMGfkCfHRdp663FhmeMc4dHVES\nEdOxWCzs3LmT+fPn093dzapVq0hPT6e8vByANWvW8NRTT/GDH/wAi8XCpEmTfKNaiYj5+dMHrF+/\nnpUrV5KVlUVPTw9bt24lNjaW2NhY7r//fnJzc4mOjiYnJ4fiv4+i+8gjj7BkyRKeeOIJkpKSOPT3\nvdUZGRksWbKEjIwMLBYLu3bt8uv0v8vav793b/ju3TrtTmQ4xjh3ogwTDgsVFRWl0axEwoxZ89Ks\ncYtEKrPmpFnjFolko81LnXonIiIiIiLSjwolERERERGRflQoiYiIiIiI9KNC6WLFxeBywcKF0NYW\n6mhEAkvrt4iIiIjfVChd7KOx2auqejcqRSKJ1m8RERERv6lQupjuayCRTOu3iIiIiN80PPjF2tp0\nXwOJXEFev806NK5Z4xaJVGbNSbPGLRLJRpuXKpREJCDMmpdmjVskUpk1J80at0gk032URERERERE\nAkyFkoiIiIiISD8qlERERERERPpRoSQiIiIiItKPCiUZmXC5eWm4xCEiIiIiEUWFkoxMuNy8NFzi\nEBEREXMZzs5W7Zgdl1QoyciEy81LwyUOERERMZfh7GzVjtlxSYWSjMz+/VBYCEeOhPbmvOESh4iI\niJjLcHa2asfsuKQbzopIQJg1L80at0ikMmtOmjXuca2trffo0O7dQ+9sHU5bCRujzUsVSiISEGbN\nS7PGLRKpzJqTQYu7uLj3tK9Jk3rPotBGukSSIK/fo81LnXonIiIiEq50bYxEsjBfv1UoiYiIiIQr\nXRsjkSzM12+deiciAWHWvDRr3CKRyqw5GbS4dW2MRLIgr9+6RklEwoJZ89KscYtEKrPmpFnjFolk\nQb9Gqbq6GofDQWpqKmVlZQPeb21tZcGCBWRnZ5OZmcmePXt875WWljJr1ixmz55NUVERnZ2dALzz\nzjvk5+czc+ZM7rjjDtouunFXaWkpqampOBwOjhw5MuIFE5HINlTf9JGXX34Zi8XCz372szGMTkSC\nbaTbJ/X19TidTt8jJiaGHTt2AHDixAluvvlmbrjhBgoKCnj//fcBaGxsZOLEib7PrF27dsyWU0RC\nyBjEhQsXDLvdbjQ0NBhdXV1GVlaWcerUqT5tvvWtbxmPPPKIYRiGcf78eSM2Ntb429/+ZjQ0NBjJ\nycnG//3f/xmGYRhLliwx9uzZYxiGYXz96183ysrKDMMwjC1bthjf+MY3DMMwjLq6OiMrK8vo6uoy\nGhoaDLvdbnR3dw+Ia4iwRSQExjIv/embPmr3mc98xvjc5z5nPPXUU5eclvoTkfDiT06OZvvkYt3d\n3cZ1111n/OUvfzEMwzByc3ONF154wTAMw3jyySeNf/u3fzMMwzAaGhqMzMzMUcctImNrtHk56BGl\n2tpaUlJSSEpKwmq1snTpUiorK/u0mT59Ou3t7QC0t7cTFxeHxWLhqquuwmq10tHRwYULF+jo6MBm\nswHw7LPPsmLFCgBWrFjBM888A0BlZSXLli3DarWSlJRESkoKtbW1ASwLRSQS+NM3AXzve9/j3nvv\n5ZprrglBlCISLKPZPrmY2+3GbreTmJgIgNfr5bbbbgNg3rx5PP3002OwNCISrgYtlJqbm32dB0BC\nQgLNzc192qxevZq6ujri4+PJyspi+/btAMTGxrJu3Tquv/564uPjiYmJYd68eQC0tLQwbdo0AKZN\nm0ZLSwsAb775JgkJCYPOT0TEn76pubmZyspKHnzwQaD3PGURiQyj2T652IEDBygqKvI9nzVrlq/g\nOnz4ME1NTb73GhoacDqduFwuXnzxxUAvkoiEIctgb/qzYbF582ays7PxeDycPXuW/Px8Tp48SUtL\nC9u2baOxsZGYmBgKCwvZt28fy5cvHzCPweZzufdKSkp8f7tcLlwu15CxikjgeDwePB5PSObtT9/0\nL//yL2zZssV3IacxyMWc6k9EQmckfclIt09OnDjB5MmTAejq6uK5557rc33Tk08+yUMPPcS3v/1t\nCgoKmDBhAgDx8fE0NTUxdepUjh8/zqJFi6irq/NN6yPqS0RCK9DbJoMWSjabrc/elKampj5HfABq\namrYsGEDAHa7neTkZE6fPk1DQwO33HILcXFxACxevJiamhqWL1/OtGnTePvtt7nuuut46623uPba\nay85v3PnzvlO1+vv4s5IRMZe/42AjRs3jtm8/embXnnlFZYuXQr0XtRdVVWF1WqloKBgwPTUn4iE\nzkj6kpFun9TX15ObmwtAVVUVN954Y59Tc9PS0nj++ecBOHPmDL/85S8BmDBhgq9oysnJwW634/V6\nycnJ6TNP9SUioRXobZNBT73Lzc3F6/XS2NhIV1cXBw8eHLCR4XA4cLvdQO8pdfX19djtdtLS0jh2\n7BgffvghhmHgdrvJyMgAoKCggL179wKwd+9eFi1a5Hv9wIEDdHV10dDQgNfrZc6cOaNaQBGJPP70\nTW+88QYNDQ00NDRw77338oMf/OCSRZKImM9It09mzJjhe7+iooJly5b1+cz58+cB6OnpYdOmTb5T\nd1tbW+nu7gZ6+xav19tnWiISmQY9omSxWNi5cyfz58+nu7ubVatWkZ6eTnl5OQBr1qxh/fr1rFy5\nkqysLHp6eti6dSuxsbHExsZy//33k5ubS3R0NDk5ORQXFwPwyCOPsGTJEp544gmSkpI4dOgQABkZ\nGSxZsoSMjAwsFgu7du3SdQUiMoA/fZOIRK7RbJ8AfPDBB7jdbh5//PE+062oqOD73/8+APfccw8P\nPPAAAC+88AKPPvooVquV6OhoysvLmaKbv4qEt7/XHaOhG86KSECYNS/NGrdIpDJrTkZFRWHceSfs\n3w8qokRCz+Ui6ujR4N5wVkRERET8UFUVkL3YIhIAkyaNehI6oiQiAWHWvDRr3CKRyqw5GRUVhZGX\nB0eO6IiSSDhoayNq6tRR9ScqlEQkIMyal2aNWyRSmTUno6KiMN59V0WSSBgZbX+iU+9EREREAkFF\nkkhEUaEkIiIiIiLSjwolERERERGRflQoiYiIiIiI9KNCSUREREREpB8VSiIiIiIiIv2oUBIRERER\nEelHhZKIiIiIiEg/KpRERERERET6UaEkIiIiIiLSjwolERERERGA4mJwuWDhQmhrC3U0EmIqlERE\nREREAM6cgaNHoaqqt2iScW18FkraWyDSS7kgIiLysUmTev/Ny4Pdu0Mbi4Tc+CyUtLdApJdyQURE\n5GP790NhIRw5AlOmhDoaCTFLqAMICe0tEOmlXBAREfnYlClw6FCoo5AwEWUYhhHqIIYrKiqKUYXd\n1ta793z3bu0tkPEtgLkw6rwMEbPGLRKpzJqTZo1bJJKNNi/HZ6EkIgFn1rw0a9wikcqsOWnWuEUi\n2WjzcnxeoyTBEcyBATTogIiIiIiMIRVKEjjBHBhAgw6IiIiIyBhSoSSBE8yBATTogPRTXV2Nw+Eg\nNTWVsrKyAe9XVlaSlZWF0+nkxhtv5De/+U0IohSRYBmqD2htbWXBggVkZ2eTmZnJnj17AKivr8fp\ndPoeMTEx7NixA4ATJ05w8803c8MNN1BQUMD777/vm15paSmpqak4HA6OHDkyJssoIqGla5QkcII5\nSIYG4Ah7Y5mX3d3dpKWl4Xa7sdls5OXlUVFRQXp6uq/NBx98wD/8wz8A8Nprr3H33Xfzpz/9KaRx\ni8jQ/MlJf/qAkpISOjs7KS0tpbW1lbS0NFpaWrBYPh7wt6enB5vNRm1tLYmJieTl5fHd736X2267\njR/96Ec0NDTw2GOPcerUKYqKinj55Zdpbm5m3rx5nDlzhujoj/c3qy8RCT+6RknCx0dDagajkAnm\ntMV0amtrSUlJISkpCavVytKlS6msrOzT5qMiCeB///d/ufrqq8c6TBEJEn/6gOnTp9Pe3g5Ae3s7\ncXFxfYokALfbjd1uJzExEQCv18ttt90GwLx583j66aeB3iPUy5Ytw2q1kpSUREpKCrW1tcFeTBEJ\nMRVKImI6zc3Nvg0bgISEBJqbmwe0e+aZZ0hPT+fOO+/0nVojIubnTx+wevVq6urqiI+PJysri+3b\ntw+YzoEDBygqKvI9nzVrlq/gOnz4ME1NTQC8+eabJCQkDDo/EYk84/OGsyJialFRUX61W7RoEYsW\nLeJ3v/sd//iP/0h9ff0l25WUlPj+drlcuFyuAEQpIv7weDx4PJ5hfcafPmDz5s1kZ2fj8Xg4e/Ys\n+fn5nDhxgsmTJwPQ1dXFc8891+f6pieffJKHHnqIb3/72xQUFDBhwoRhxaC+RCS0RtKfDEaFkoiY\njs1m8+3pBWhqauqzt7e/2267jQsXLvDXv/6VuLi4Ae9fvHEjImOrf0GxcePGIT/jTx9QU1PDhg0b\nALDb7SQnJ1NfX09ubi4AVVVV3HjjjVxzzTW+z6SlpfH8888DcObMGX75y19ecn7nzp3DZrMNiEt9\niUhojaQ/GYxOvRMR08nNzcXr9dLY2EhXVxcHDx6koKCgT5uzZ8/6LuA8fvw4wCWLJBExH3/6AIfD\ngdvtBqClpYX6+npmzJjhe7+iooJly5b1+cz58+eB3kEeNm3axIMPPghAQUEBBw4coKuri4aGBrxe\nL3PmzAnmIopIGNARJRExHYvFws6dO5k/fz7d3d2sWrWK9PR0ysvLAVizZg1PP/00P/7xj7FarXzy\nk5/kwIEDIY5aRALFnz5g/fr1rFy5kqysLHp6eti6dSuxsbFA76iYbrebxx9/vM90Kyoq+P73vw/A\nPffcwwMPPABARkYGS5YsISMjA4vFwq5du/w+BVhEzEvDg4tIQJg1L80at0ikMmtOmjVukUim4cFF\nREREREQCTIWSiIiIiIhIPyqURERERERE+lGhJCIiIiIi0o8KJRERERERkX5UKImIiIiEg+JicLlg\n4UJoawt1NCKhEya5oEJJREREJBycOQNHj0JVVe+Gosh4FSa5oEJJREREJBxMmtT7b14e7N4d2lhE\nQilMckE3nBWRgDBrXpo1bpFIZdacDEjcbW29e89374YpUwITmIgZBSgXRpuXKpREJCDMmpdmjVsk\nUpk1J80at0gkG21e6tQ7ERERERGRflQoiYiIiIiI9KNCSUREREREpB8VSiIiIiIiIv2oUBIRERER\nEelHhZKIiIiIiEg/KpRERERERET6UaEkIiIiIiLSjwolERERERGRflQoiYiIiIiI9KNCSURERERE\npB8VSiIiIiIiIv2oUBIRU6qursbhcJCamkpZWdmA9/ft20dWVhY33HADn/70pzl58mQIohSRYBmq\nD2htbWXBggVkZ2eTmZnJnj17AKivr8fpdPoeMTEx7NixA4Da2lrmzJmD0+kkLy+Pl19+GYDGxkYm\nTpzo+8zatWvHbDlFJHSiDMMwQh3EcEVFRWHCsEUi2ljmZXd3N2lpabjdbmw2G3l5eVRUVJCenu5r\n8/vf/56MjAxiYmKorq6mpKSEY8eOhTRuERmaPznpTx9QUlJCZ2cnpaWltLa2kpaWRktLCxaLxdem\np6cHm81GbW0tiYmJuFwuvvnNbzJ//nyqqqrYunUrv/3tb2lsbOSuu+7itddeG1XcIjK2RpuXOqIk\nIqZTW1tLSkoKSUlJWK1Wli5dSmVlZZ82N998MzExMQDcdNNNnDt3LhShikgQ+NMHTJ8+nfb2dgDa\n29uJi4vrUyQBuN1u7HY7iYmJvs+89957ALS1tWGz2cZgaUQkXFmGbiIiEl6am5t9GzYACQkJvPTS\nS5dt/8QTT7Bw4cKxCE1ExoA/fcDq1auZO3cu8fHxvP/++xw6dGjAdA4cOEBRUZHv+ZYtW7j11lv5\n2te+Rk9PD7///e997zU0NPhO1du0aRO33nprEJZMRMKJCiURMZ2oqCi/2/72t7/lySef5L//+78v\n26akpMT3t8vlwuVyjSI6ERkOj8eDx+MZ1mf86QM2b95MdnY2Ho+Hs2fPkp+fz4kTJ5g8eTIAXV1d\nPPfcc32ub1q1ahU7duzg7rvv5vDhw3zxi1/k17/+NfHx8TQ1NTF16lSOHz/OokWLqKur803rI+pL\nREJrJP3JYFQoiYjp2Gw2mpqafM+bmppISEgY0O7kyZOsXr2a6upqpk6detnpXbxxIyJjq39BsXHj\nxiE/408fUFNTw4YNGwCw2+0kJydTX19Pbm4uAFVVVdx4441cc801vs/U1tbidrsBuPfee/nSl74E\nwIQJE5gwYQIAOTk52O12vF4vOTk5feapvkQktEbSnwxG1yiJiOnk5ubi9XppbGykq6uLgwcPUlBQ\n0KfNX/7yFxYvXsxPf/pTUlJSQhSpiASDP32Aw+HwFT0tLS3U19czY8YM3/sVFRUsW7asz2dSUlI4\nevQoAL/5zW+YOXMm0DuCXnd3NwBvvPEGXq+3z7REJDLpiJKImI7FYmHnzp3Mnz+f7u5uVq1aRXp6\nOuXl5QCsWbOGxx57jHfffZcHH3wQAKvVSm1tbSjDFpEA8acPWL9+PStXriQrK4uenh62bt1KbGws\nAB988AFut5vHH3+8z3R3797Nl7/8ZTo7O5k4cSK7d+8G4IUXXuDRRx/FarUSHR1NeXk5U6ZMGduF\nFpExp+HBRSQgzJqXZo1bJFKZNSfNGrdIJNPw4CIiIiIiIgGmQkmCr7gYXC5YuBDa2gLfXkREREQk\nwFQoSfCdOQNHj0JVVW8RFOj2IiIiIiIBpkJJgm/SpN5/8/Lg7xfGBrS9iIiIiEiAaTAHCb62tt4j\nQ7t3gz+jBA23vYQFs+alWeMWiVRmzUmzxi0SyUablyqURCQgzJqXZo1bJFKZNSfNGrdIJNOodyIi\nIiIiIgE2ZKFUXV2Nw+EgNTWVsrKyAe+3trayYMECsrOzyczMZM+ePQDU19fjdDp9j5iYGHbs2AHA\niRMnuPnmm7nhhhsoKCjg/fffB6CxsZGJEyf6PrN27Vr/l0QjpYkEn/JMRERExolBT73r7u4mLS0N\nt9uNzWYjLy+PiooK0tPTfW1KSkro7OyktLSU1tZW0tLSaGlpwWKx+Nr09PRgs9mora0lMTGRvLw8\nvvvd73Lbbbfxox/9iIaGBh577DEaGxu56667eO211wYP+lKH0Vyu3pHSAAoL4dCh4X8bIjK4QfLM\nrKedmDVukUhl1pw0a9wikSyop97V1taSkpJCUlISVquVpUuXUllZ2afN9OnTaW9vB6C9vZ24uLg+\nRRKA2+3GbreTmJgIgNfr5bbbbgNg3rx5PP300yNeAB+NlCYSfMozERERGScsg73Z3NzsK24AEhIS\neOmll/q0Wb16NXPnziU+Pp7333+fQ5c4knPgwAGKiop8z2fNmkVlZSVf+MIXOHz4ME1NTb73Ghoa\nfKfqbdq0iVtvvfWSsZWUlPj+drlcuPbv10hpIsF2UZ55/vhHPB5PqCMSERERCYpBT717+umnqa6u\n5vHHHwfgpz/9KS+99BLf+973fG02bdpEa2sr27Zt4+zZs+Tn53PixAkmT54MQFdXFzabjVOnTnHN\nNdcAvdcvPfTQQ/z1r3+loKCAHTt20NraSldXFx988AFTp07l+PHjLFq0iLq6Ot+0fEHr8LZI2DFr\nXpo1bpFIZdacNGvcIpEsqKfe2Wy2Pkd7mpqaSEhI6NOmpqaGwsJCAOx2O8nJydTX1/ver6qq4sYb\nb/QVSQBpaWk8//zz/OEPf2Dp0qXY7XYAJkyYwNSpUwHIycnBbrfj9XpHvHAiIiIiIiIjMWihlJub\ni9frpbGxka6uLg4ePEhBQUGfNg6HA7fbDUBLSwv19fXMmDHD935FRQXLli3r85nz588DvYM8bNq0\niQcffBDoHUGvu7sbgDfeeAOv19tnWiIiIiIiImNh0ELJYrGwc+dO5s+fT0ZGBvfddx/p6emUl5dT\nXl4OwPr16/nDH/5AVlYW8+bNY+vWrcTGxgLwwQcf4Ha7Wbx4cZ/pVlRUkJaWRnp6OgkJCTzwwAMA\nvPDCC2RlZeF0OiksLKS8vJwput5IRERERETG2KDXKIUrnQcsEn7MmpdmjVskUpk1J80at0gkC+o1\nSiIiIiIiIuORCiUREREREZF+VCiJiIiIiIj0o0JJRERERESkHxVKIiIiIiIi/ahQEhERERER6UeF\nkoiYUnV1NQ6Hg9TUVMrKyga8//rrr3PzzTfziU98gu985zshiFBEgmmoPqC1tZUFCxaQnZ1NZmYm\ne/bsAaC+vh6n0+l7xMTEsGPHDgBqa2uZM2cOTqeTvLw8Xn75Zd/0SktLSU1NxeFwcOTIkTFZRhEJ\nLd1HSUQCYizzsru7m7S0NNxuNzabjby8PCoqKkhPT/e1OX/+PH/+85955plnmDp1KuvWrQt53CIy\nNH9y0p8+oKSkhM7OTkpLS2ltbSUtLY2WlhYsFouvTU9PDzabjdraWhITE3G5XHzzm99k/vz5VFVV\nsXXrVn77299y6tQpioqKePnll2lubmbevHmcOXOG6OiP9zerLxEJP7qPkoiMO7W1taSkpJCUlITV\namXp0qVUVlb2aXPNNdeQm5uL1WoNUZQiEiz+9AHTp0+nvb0dgPb2duLi4voUSQButxu73U5iYqLv\nM++99x4AbW1t2Gw2ACorK1m2bBlWq5WkpCRSUlKora0N9mKKSIhZhm4iIhJempubfRs2AAkJCbz0\n0kshjEhExpI/fcDq1auZO3cu8fHxvP/++xw6dGjAdA4cOEBRUZHv+ZYtW7j11lv52te+Rk9PD7//\n/e8BePPNN/nUpz7VZ37Nzc2BXiwRCTMqlETEdKKiogI6vZKSEt/fLpcLl8sV0OmLyOV5PB48Hs+w\nPuNPH7B582ays7PxeDycPXuW/Px8Tpw4weTJkwHo6uriueee63N906pVq9ixYwd33303hw8f5otf\n/CK//vWv/Y5BfYlIaI2kPxmMCiURMR2bzUZTU5PveVNTEwkJCSOe3sUbNyIytvoXFBs3bhzyM/70\nATU1NWzYsAEAu91OcnIy9fX15ObmAlBVVcWNN97INddc4/tMbW0tbrcbgHvvvZcvfelLl5zfuXPn\nfKflXUx9iUhojaQ/GYyuURIR08nNzcXr9dLY2EhXVxcHDx6koKDgkm11cbVI5PGnD3A4HL6ip6Wl\nhfr6embMmOF7v6KigmXLlvX5TEpKCkePHgXgN7/5DTNnzgSgoKCAAwcO0NXVRUNDA16vlzlz5gRz\nEUUkDOiIkoiYjsViYefOncyfP5/u7m5WrVpFeno65eXlAKxZs4a3336bvLw82tvbiY6OZvv27Zw6\ndYpPfvKTIY5eREbLnz5g/fr1rFy5kqysLHp6eti6dSuxsbEAfPDBB7jdbh5//PE+0929ezdf/vKX\n6ezsZOLEiezevRuAjIwMlixZQkZGBhaLhV27dgX8FGARCT8aHlxEAsKseWnWuEUilVlz0qxxi0Qy\nDQ8uIiIiIiISYCqURERERERE+lGhJCIiIiIi0o8KJRERERERkX5UKImIiIiIiPSjQklERERERKQf\nFUoiIiIiIiL9qFASERERERHpR4WSiIiIiIhIPyqURERERERE+lGhJCIiIiIi0o8KJRERERERkX5U\nKImIiIiIiPSjQklCp7gYXC5YuBDa2kIdjYiIiIiIjwolCZ0zZ+DoUaiq6i2aREREIol2CIoEXxDz\nTIWShM6kSb3/5uXB7t2hjUVERCTQtENQJPiCmGcqlCR09u+HwkI4cgSmTAl1NCIiIoGlHYIiwRfE\nPIsyDMMI6BTHQFRUFCYMWySimTUvzRq3SKQya05eMu62tt493Lt3a4egSLAMkmej7U9UKIlIQJg1\nL80at0ikMmtOmjVukUg22rzUqXciIiIiIiL9qFASERERERHpR4WSiIiIiIhIPyqUAsjj8YQ6hMsK\n19gU1/CEa1yhUF1djcPhIDU1lbKysku2eeihh0hNTSUrK4tXX311jCMcnXD9rcM1Lgjf2BRXcAzV\nB7S2trJgwQKys7PJzMxkz549ANTX1+N0On2PmJgYduzYAcB9993nez05ORmn0wlAY2MjEydO9L23\ndu3aMVvOQAjX31pxDV+4xhaucY2WCqUACueVJFxjU1zDE65xjbXu7m6+8pWvUF1dzalTp6ioqOD0\n6dN92vzqV7/iT3/6E16vl927d/Pggw+GKNqRCdffOlzjgvCNTXEFnj99wM6dO3E6nfzxj3/E4/Gw\nbhitmmYAAAlSSURBVN06Lly4QFpaGq+++iqvvvoqr7zyCpMmTeLuu+8G4ODBg7737rnnHu655x7f\n9FJSUnzv7dq1a0yXd7TC9bdWXMMXrrGFa1yjpUJJREyntraWlJQUkpKSsFqtLF26lMrKyj5tnn32\nWVasWAHATTfdRFtbGy0tLaEIV0QCzJ8+YPr06bS3twPQ3t5OXFwcFoulTxu3243dbicxMbHP64Zh\ncOjQIZYtWxbcBRGRsKZCSURMp7m5uc+GTUJCAs3NzUO2OXfu3JjFKGOsuBj27IGFC3vvqSERzZ8+\nYPXq1dTV1REfH09WVhbbt28fMJ0DBw5QVFQ04PXf/e53TJs2Dbvd7nutoaEBp9OJy+XixRdfDODS\niEjYMkwI0EMPPcLwMVaeeuop40tf+pLv+U9+8hPjK1/5Sp82n//8540XX3zR9/yzn/2s8corrwyY\nVqi/Mz300GPgIxB9wLe//W3jq1/9qmEYhvGnP/3JSE5ONtrb233vd3Z2GldffbXxP//zPwOm/0//\n9E/Gd7/73T5t33nnHcMwDOOVV14xEhMT+0xLfYkeeoTvYzT6HoM2CUM3dBMZ12w2G01NTb7nTU1N\nJCQkDNrm3Llz2Gy2AdNSfyJiPv70ATU1NWzYsAEAu91OcnIy9fX15Obmwv9v7+5Cmmz/OIB/N1Ie\neiGNcpYi4ZY6Ne9lpUeCvYhlJJUnFVmIB9FB4UFhb3Q2M8+UTiQw6STsoJcT18si0BMN0wgyTHAi\nlIpJhVo43b7/gwfvx81Vzmfzvnz+v8+RXJvu6637wrXtui4ALpcLO3fuxKZNmwK+b3Z2Fo8ePUJ3\nd7c+Fhsbi9jYWABAbm4urFYr+vv7kZubq99HukSI/x756J0QYsXZtWsX+vv7MTg4CK/Xi5aWFpSW\nlgbcp7S0FPfu3QMAdHR0IC4uDhaLxYi4QogIW0wHZGRkwO12AwBGR0fR19eH1NRU/fb79++HXIPk\ndrtht9uxZcsWfezLly/w+XwAgIGBAfT39wf8LCHEf9OKfEdJCPH/bdWqVbh9+zaKi4vh8/lQWVkJ\nu92OxsZGAMDZs2dRUlKC1tZW2Gw2rFmzBnfv3jU4tRAiUhbTAVevXkVFRQU0TYPf70ddXR02bNgA\nAJiamoLb7cadO3cW/OyWlpYFE6i2tjbcuHEDMTExMJvNaGxsRFxcXPR/USGEsf7VB/ei7Pr168zJ\nyaGmady7dy+Hhob022pqamiz2Ziens5nz57p411dXczOzqbNZuOFCxeikuvixYvMyMhgTk4Ojx49\nym/fvimRiyQfPHjAzMxMms3mBesxjM42n8vlYnp6Om02G2tra5flMeerqKhgQkICs7Oz9bHx8XHu\n37+f27ZtY1FREb9+/arf9qtrF2lDQ0MsLCxkZmYms7KyWF9fr0S2nz9/Mi8vj5qm0W638/Lly0rk\nCof0SXhWSpeQxvaJdEn4pE+kT+aTPvmH9El4lqNLlJ4ozV8o2dDQwMrKSpLk+/fvqWkavV4vPR4P\nrVYr/X4/SXL37t3s7OwkSR48eJAulyviuZ4/f06fz0eSrK6uZnV1tRK5SPLDhw/s6+tjYWFhQBmp\nkG3O7OwsrVYrPR4PvV4vNU1jb29vVB8zWFtbG7u7uwPK6NKlS7x16xZJsra29rd/17m/f6QNDw+z\np6eHJDkxMcG0tDT29vYqkW1qaookOTMzw/z8fLa3tyuRa7GkT8KzErqENL5PpEuWRvpE+kSFXMGk\nT0JTuU+i3SVKr1Fat26d/vXk5CQ2btwIAHjy5AlOnDiBmJgYbN26FTabDZ2dnRgeHsbExATy8vIA\nAKdPn8bjx48jnquoqAhm89+XLj8/X99y2OhcwN+fyU5LS1swrkK2OYs5/yLaCgoKEB8fHzA2/9yd\nM2fO6Nch1LV7/fp1VHIlJibC4XAAANauXQu73Y5Pnz4pkW316tUAAK/XC5/Ph/j4eCVyLZb0SXhW\nQpcAxveJdMnSSJ9In6iQK5j0SWgq90m0u0TpiRIAXLt2DSkpKWhubsaVK1cAAJ8/fw7Y3Wbu/ITg\n8aSkpAXnKkRaU1MTSkpKlMsVTKVsizn/wgijo6P6Yn+LxaIfTvqraxdtg4OD6OnpQX5+vhLZ/H4/\nHA4HLBYL9uzZg6ysLCVyhUP65N9TLZeKfaLa80K1LgGkT6RPoGQu6ZM/U61Pot0lhm/mUFRUhJGR\nkQXjNTU1OHz4MJxOJ5xOJ2pra1FVVbVsC7L/lAsAnE4nYmNjQx5WZ3Q2lZlMJqMj/JHJZPptzmj/\nDpOTkygrK0N9fX3AK5dGZjObzXj79i2+f/+O4uJivHr1Solc80mfRD6X6lTvE6OfFyp2CSB9Es1c\ngPTJUkmf/J6KfRLtLjF8ovTixYtF3e/kyZP6KyOhzkdJTk5GUlKS/jbz3Hioc1Mikau5uRmtra14\n+fKlPrYcuRaTLZTlyraULKHOvzCCxWLByMgIEhMTMTw8jISEBACLP48nUmZmZlBWVoby8nIcOXJE\nqWwAsH79ehw6dAhv3rxRKhcgfRLpXKGo1CWh8qjQJ6o8L1TvEkD6JBq5pE+WTvrk11Tvk6h1SVRW\nVkXIx48f9a8bGhp46tQpkv8sxpqenubAwABTU1P1xX95eXns6Oig3++P2uI/l8vFzMxMjo2NBYwb\nnWu+wsJCdnV1KZltZmaGqamp9Hg8nJ6eNmQzB5L0eDwLFkzO7XBz8+bNBYv/Ql27SPP7/SwvL2dV\nVVXAuNHZxsbG9F1jfvz4wYKCArrdbsNzhUP6ZGlU7hJSjT6RLgmP9In0iWq55kifhKZqnyxHlyg9\nUSorK2N2djY1TeOxY8c4Ojqq3+Z0Omm1Wpmens6nT5/q43PbSVqtVp4/fz4quWw2G1NSUuhwOOhw\nOHju3DklcpHkw4cPmZyczL/++osWi4UHDhxQJtt8ra2tTEtLo9VqZU1NzbI85nzHjx/n5s2bGRMT\nw+TkZDY1NXF8fJz79u0LuZ3kr65dpLW3t9NkMlHTNP3/y+VyGZ7t3bt33LFjBzVN4/bt21lXV0eS\nhucKh/RJeFZKl5DG9ol0SfikT6RPpE9Ckz4Jz3J0iYkko/lWmBBCCCGEEEKsNMrveieEEEIIIYQQ\ny00mSkIIIYQQQggRRCZKQgghhBBCCBFEJkpCCCGEEEIIEUQmSkIIIYQQQggRRCZKQgghhBBCCBHk\nfz3reHfsbEzXAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x630ec90>"
       ]
      }
     ],
     "prompt_number": 59
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "fig, axes = subplots(1,1, figsize=(16,5))\n",
      "epsx = np.linalg.norm(Utils.mkvc(Bxr))*1e-6\n",
      "epsy = np.linalg.norm(Utils.mkvc(Byr))*1e-6\n",
      "epsz = np.linalg.norm(Utils.mkvc(Bzr))*1e-6\n",
      "id = 21\n",
      "# axes.plot(X[id,:], Bzra[id,:], 'b', X[id,:], Bzr[id,:], 'r.'); axes.set_title('$B^s_z$', fontsize = 16)\n",
      "axes.plot(X[id,:], Bxra[id,:], 'b', X[id,:], Bxr[id,:], 'r.'); axes.set_title('$B^s_z$', fontsize = 16)\n",
      "print Y[id,0]"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "15.0\n"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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Tso0da3c1AID2oiUYAOD1fvMbKSNDKimxuxL4g3//W4qMJAADgD8iBAMAPELv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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1138dfd0>"
       ]
      }
     ],
     "prompt_number": 73
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "print 1/abs(min(Bxra[id,:])/max(Bxra[id,:]))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "0.200975085599\n"
       ]
      }
     ],
     "prompt_number": 77
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "## Thoughts\n",
      "\n",
      "### - Congruous sphere method works well, which means we need right boundary condition. \n",
      "### - I am not sure for real situation when we have multiple bodies in our domain ... ?\n",
      "### - Secondary field shows better accuracy than total field approach as expected\n",
      "### - Anyway every piece works well for forward modeling!!"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 59
    }
   ],
   "metadata": {}
  }
 ]
}