{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 372,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from SimPEG import *\n",
    "import simpegDCIP as DC\n",
    "from ipywidgets import interact, IntSlider, FloatSlider, FloatText, ToggleButtons"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 221,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 230,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "matplotlib.rcParams['font.size'] = 14"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 231,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "npad = 8\n",
    "cs = 1.\n",
    "hx = [(cs,npad, -1.3),(cs,100),(cs,npad, 1.3)]\n",
    "hy = [(cs,npad, -1.3),(cs,50)]\n",
    "mesh = Mesh.TensorMesh([hx, hy], \"CN\")\n",
    "x = mesh.vectorCCx"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 232,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "circmap = Maps.CircleMap(mesh)\n",
    "circmap.slope = 1e5\n",
    "mapping = circmap\n",
    "sighalf = 1e-3\n",
    "rhohalf = 1./sighalf"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 233,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "xr = np.linspace(-40, 40, 20)\n",
    "xz_A = Utils.ndgrid(xr, np.r_[-2.5])\n",
    "xz_B = Utils.ndgrid(np.ones_like(xr)*19, np.r_[-2.5])\n",
    "xz_M = Utils.ndgrid(xr, np.r_[-2.5])\n",
    "xz_N = Utils.ndgrid(np.ones_like(xr)*-19, np.r_[-2.5])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 364,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def DipoleDipolefun(i):\n",
    "    plt.figure(figsize=(10, 3))\n",
    "    nmax = 8\n",
    "    ntx = xr.size-2\n",
    "    dxr = np.diff(xr)\n",
    "    plt.plot(xr[:-1]+dxr*0.5, np.zeros_like(xr[:-1]), 'ko')\n",
    "    plt.plot(xr[i]+dxr[i]*0.5, np.zeros(1), 'ro')\n",
    "    # for i in range(ntx):\n",
    "    if i < ntx-nmax+1:\n",
    "        txmid = xr[i]+dxr[i]*0.5\n",
    "        rxmid = xr[i+1:i+1+nmax]+dxr[i+1:i+1+nmax]*0.5\n",
    "        mid = (txmid+rxmid)*0.5\n",
    "        plt.plot(rxmid, np.zeros(rxmid.size), 'go')\n",
    "        plt.plot(mid, np.arange(nmax)+1., 'bo')\n",
    "        plt.plot(np.r_[txmid, mid[-1]], np.r_[0, nmax], 'k:')    \n",
    "        for j in range(nmax):\n",
    "            plt.plot(np.r_[rxmid[j], mid[j]], np.r_[0, j+1], 'k:')    \n",
    "\n",
    "    else:\n",
    "        txmid = xr[i]+dxr[i]*0.5\n",
    "        rxmid = xr[i+1:ntx+1]+dxr[i+1:ntx+1]*0.5\n",
    "        mid = (txmid+rxmid)*0.5    \n",
    "        plt.plot((txmid+rxmid)*0.5, np.arange(mid.size)+1., 'bo')\n",
    "        plt.plot(rxmid, np.zeros(rxmid.size), 'go')\n",
    "        plt.plot(np.r_[txmid, mid[-1]], np.r_[0, mid.size], 'k:')    \n",
    "        for j in range(ntx-i):\n",
    "            plt.plot(np.r_[rxmid[j], mid[j]], np.r_[0, j+1], 'k:')    \n",
    "    plt.xlabel(\"X (m)\")\n",
    "    plt.ylabel(\"N-spacing\")    \n",
    "    xlim(xr.min(), xr.max())\n",
    "    ylim(nmax+1, -1)\n",
    "    plt.show()\n",
    "    return "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 365,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def getPseudoLocs(xr, ntx, nmax):\n",
    "    dxr = np.diff(xr)\n",
    "    xloc = []\n",
    "    yloc = []    \n",
    "    for i in range(ntx):\n",
    "        if i < ntx-nmax+1:\n",
    "            txmid = xr[i]+dxr[i]*0.5\n",
    "            rxmid = xr[i+1:i+1+nmax]+dxr[i+1:i+1+nmax]*0.5\n",
    "            mid = (txmid+rxmid)*0.5\n",
    "            xloc.append(mid)\n",
    "            yloc.append(np.arange(nmax)+1.)\n",
    "        else:\n",
    "            txmid = xr[i]+dxr[i]*0.5\n",
    "            rxmid = xr[i+1:ntx+1]+dxr[i+1:ntx+1]*0.5\n",
    "            mid = (txmid+rxmid)*0.5    \n",
    "            xloc.append(mid)\n",
    "            yloc.append(np.arange(mid.size)+1.)\n",
    "    xlocvec = np.hstack(xloc)\n",
    "    ylocvec = np.hstack(yloc)\n",
    "    return np.c_[xlocvec, ylocvec]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 366,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "dxr = np.diff(xr)\n",
    "ntx, nmax = xr.size-2, 8\n",
    "xzlocs = getPseudoLocs(xr, ntx, nmax)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 367,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAmIAAADaCAYAAAAFUC7XAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10a35a610>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "interact(DipoleDipolefun, i=IntSlider(min=0, max=ntx-1, step = 1, value=0))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 238,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "txList = []\n",
    "zloc = -2.5\n",
    "for i in range(ntx):\n",
    "    A = np.r_[xr[i]+dxr[i]*0.5, zloc]\n",
    "    B = np.r_[mesh.vectorCCx.min(), zloc]   \n",
    "    if i < ntx-nmax+1:\n",
    "        M = np.c_[xr[i+1:i+1+nmax], np.ones(nmax)*zloc]        \n",
    "        N = np.c_[xr[i+2:i+2+nmax], np.ones(nmax)*zloc]                \n",
    "    else:\n",
    "        M = np.c_[xr[i+1:ntx+1], np.ones(ntx-i)*zloc]        \n",
    "        N = np.c_[xr[i+2:i+2+nmax], np.ones(ntx-i)*zloc]                \n",
    "    rx = DC.RxDipole(M, N)\n",
    "    src = DC.SrcDipole([rx], A, B)\n",
    "    txList.append(src)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 239,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "survey = DC.SurveyDC(txList)\n",
    "problem = DC.ProblemDC_CC(mesh, mapping = mapping)\n",
    "problem.pair(survey)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 240,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from pymatsolver import MumpsSolver\n",
    "problem.Solver = MumpsSolver"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 422,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "sigblk, sighalf = 2e-2, 2e-3\n",
    "xc, yc, r = -15, -8, 4\n",
    "mtrue = np.r_[np.log(sigblk), np.log(sighalf), xc, yc, r]\n",
    "dtrue = survey.dpred(mtrue) \n",
    "perc = 0.1\n",
    "floor = np.linalg.norm(dtrue)*1e-3\n",
    "uncert = np.random.randn(survey.nD)*perc + floor\n",
    "dobs = dtrue + uncert "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 429,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def DC2Dfwdfun(mesh, rhohalf, rhoblk, xc, yc, r, dobs, uncert, predmis):\n",
    "    sighalf, sigblk = 1./rhohalf, 1./rhoblk\n",
    "    m0 = np.r_[np.log(sighalf), np.log(sighalf), xc, yc, r]\n",
    "    dini = survey.dpred(m0)\n",
    "    mtrue = np.r_[np.log(sigblk), np.log(sighalf), xc, yc, r]\n",
    "    dpred  = survey.dpred(mtrue)\n",
    "    xi, yi = np.meshgrid(np.linspace(xr.min(), xr.max(), 120), np.linspace(1., nmax, 100))\n",
    "    appres = dpred/dini/sighalf\n",
    "    appresobs = dobs/dini/sighalf\n",
    "    pred = griddata(xzlocs[:,0], xzlocs[:,1], appres, xi, yi, interp='linear')\n",
    "    obs = griddata(xzlocs[:,0], xzlocs[:,1], appresobs, xi, yi, interp='linear')\n",
    "    fig = plt.figure(figsize = (12, 8))\n",
    "    ax1 = plt.subplot(311)\n",
    "    dat1 = mesh.plotImage(np.log10(1./(mapping*mtrue)), ax=ax1, clim=(0, 3), grid=True, gridOpts={'color':'k', 'alpha':0.5})\n",
    "    cb1 = plt.colorbar(dat1[0], ticks=np.linspace(0, 3, 5), ax=ax1, format=\"$10^{%4.1f}$\")\n",
    "    cb1.set_label(\"Resistivity (ohm-m)\")\n",
    "    ax1.set_ylim(-30, 0.)\n",
    "    ax1.set_xlim(-40, 40)\n",
    "    ax1.set_xlabel(\"\")\n",
    "    ax1.set_ylabel(\"Depth (m)\")    \n",
    "    ax2 = plt.subplot(312)\n",
    "    dat2 = ax2.contourf(xi, yi, obs, 10)\n",
    "    ax2.contour(xi, yi, obs, 10, colors='k', alpha=0.5)\n",
    "    ax2.plot(xzlocs[:,0], xzlocs[:,1],'k.', ms = 3)\n",
    "    cb2 = plt.colorbar(dat2, ax=ax2, ticks=np.linspace(appresobs.min(), appresobs.max(), 5), format=\"%4.1f\")\n",
    "   \n",
    "    cb2.set_label(\"Apparent Resistivity \\n (ohm-m)\")\n",
    "    ax2.set_ylim(nmax+1, 0.)\n",
    "    ax2.set_ylabel(\"N-spacing\")    \n",
    "    ax2.text(-38, 7, \"Observed\")\n",
    "    \n",
    "    ax3 = plt.subplot(313)\n",
    "    if predmis==\"pred\":\n",
    "        dat3 = ax3.contourf(xi, yi, pred, 10)\n",
    "        ax3.contour(xi, yi, pred, 10, colors='k', alpha=0.5)\n",
    "        ax3.plot(xzlocs[:,0], xzlocs[:,1],'k.', ms = 3)\n",
    "        cb3 = plt.colorbar(dat3, ax=ax3, ticks=np.linspace(appres.min(), appres.max(), 5),format=\"%4.0f\")\n",
    "        cb3.set_label(\"Apparent Resistivity \\n (ohm-m)\")\n",
    "        ax3.text(-38, 7, \"Predicted\")\n",
    "    elif predmis==\"mis\":\n",
    "        mis = (appresobs-appres)/(0.1*appresobs)\n",
    "        Mis = griddata(xzlocs[:,0], xzlocs[:,1], mis, xi, yi, interp='linear')        \n",
    "        dat3 = ax3.contourf(xi, yi, Mis, 10)\n",
    "        ax3.contour(xi, yi, Mis, 10, colors='k', alpha=0.5)\n",
    "        ax3.plot(xzlocs[:,0], xzlocs[:,1],'k.', ms = 3)\n",
    "        cb3 = plt.colorbar(dat3, ax=ax3, ticks=np.linspace(mis.min(), mis.max(), 5), format=\"%4.2f\")\n",
    "        cb3.set_label(\"Normalized misfit\")\n",
    "        ax3.text(-38, 7, \"Misifit\")    \n",
    "    ax3.set_ylim(nmax+1, 0.)\n",
    "    ax3.set_ylabel(\"N-spacing\")    \n",
    "    ax3.set_xlabel(\"Distance (m)\")    \n",
    "    plt.show()\n",
    "    return True"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 430,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "DC2Dfwd = lambda rhohalf, rhosph, xc, zc, r, predmis: DC2Dfwdfun(mesh, rhohalf, rhosph, xc, zc, r, dobs, uncert, predmis)\n",
    "# DC2Dfwdfun(mesh, 1000., 1e1, 0., -9, 4, dobs, uncert, \"pred\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 431,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAs0AAAH7CAYAAAA3hKKsAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ni6UArGi2WCwWi8VisVgK4P8BuLYOvBAZ5r8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x109567310>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "interact(DC2Dfwd,\n",
    "         rhohalf = FloatSlider(min=0, max=1000, step=1, value = 500),\n",
    "         rhosph = FloatSlider(min=0, max=1000, step=1, value = 50),\n",
    "         xc = FloatSlider(min=-40, max=40, step=1, value =  -15),\n",
    "         zc = FloatSlider(min= -20, max=0, step=1, value =  -8),\n",
    "         r = FloatSlider(min= 0, max=15, step=0.5, value = 4),\n",
    "         predmis = ToggleButtons(options=['pred','mis'])         \n",
    "        )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
