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b/notebooks/scipy2015/022-Inversion_NoStoppingregMesh.npy differ diff --git a/notebooks/scipy2015/023-Inversion_NoStoppingregMesh.npy b/notebooks/scipy2015/023-Inversion_NoStoppingregMesh.npy index a9c979cc..d321d533 100644 Binary files a/notebooks/scipy2015/023-Inversion_NoStoppingregMesh.npy and b/notebooks/scipy2015/023-Inversion_NoStoppingregMesh.npy differ diff --git a/notebooks/scipy2015/MT1DInversion_plotData.ipynb b/notebooks/scipy2015/MT1DInversion_plotData.ipynb index db30158a..201aaa21 100644 --- a/notebooks/scipy2015/MT1DInversion_plotData.ipynb +++ b/notebooks/scipy2015/MT1DInversion_plotData.ipynb @@ -31,26 +31,30 @@ }, "outputs": [], "source": [ + "## Setup the modelling\n", + "# Setting up 1D mesh and conductivity models to forward model data.\n", + "\n", "# Frequency\n", "nFreq = 31\n", "freqs = np.logspace(3,-3,nFreq)\n", "# Set mesh parameters\n", - "ct = 10\n", - "air = simpeg.Utils.meshTensor([(ct,25,1.3)])\n", - "core = np.concatenate( ( np.kron(simpeg.Utils.meshTensor([(ct,5,-1.2)]),np.ones((3,))) , simpeg.Utils.meshTensor([(ct,5)]) ) )\n", - "bot = simpeg.Utils.meshTensor([(core[0],25,-1.3)])\n", + "ct = 20\n", + "air = simpeg.Utils.meshTensor([(ct,16,1.4)])\n", + "core = np.concatenate( ( np.kron(simpeg.Utils.meshTensor([(ct,10,-1.3)]),np.ones((5,))) , simpeg.Utils.meshTensor([(ct,5)]) ) )\n", + "bot = simpeg.Utils.meshTensor([(core[0],10,-1.4)])\n", "x0 = -np.array([np.sum(np.concatenate((core,bot)))])\n", "# Make the model\n", "m1d = simpeg.Mesh.TensorMesh([np.concatenate((bot,core,air))], x0=x0)\n", + "\n", "# Setup model varibles\n", "active = m1d.vectorCCx<0.\n", - "layer1 = (m1d.vectorCCx<-200.) & (m1d.vectorCCx>=-600.)\n", - "layer2 = (m1d.vectorCCx<-2000.) & (m1d.vectorCCx>=-4000.)\n", + "layer1 = (m1d.vectorCCx<-500.) & (m1d.vectorCCx>=-800.)\n", + "layer2 = (m1d.vectorCCx<-3500.) & (m1d.vectorCCx>=-5000.)\n", "# Set the conductivity values\n", "sig_half = 2e-3\n", "sig_air = 1e-8\n", - "sig_layer1 = 1\n", - "sig_layer2 = .1\n", + "sig_layer1 = .2\n", + "sig_layer2 = .2\n", "# Make the true model\n", "sigma_true = np.ones(m1d.nCx)*sig_air\n", "sigma_true[active] = sig_half\n", @@ -63,8 +67,7 @@ "sigma_0[active] = sig_half\n", "m_0 = np.log(sigma_0[active])\n", "\n", - "\n", - "# Set the mapping# Set the mapping\n", + "# Set the mapping\n", "actMap = simpeg.Maps.ActiveCells(m1d, active, np.log(1e-8), nC=m1d.nCx)\n", "mappingExpAct = simpeg.Maps.ExpMap(m1d) * actMap" ] diff --git a/notebooks/scipy2015/MT1D_dobs.npy b/notebooks/scipy2015/MT1D_dobs.npy index 80d57253..8f2a35fb 100644 Binary files a/notebooks/scipy2015/MT1D_dobs.npy and b/notebooks/scipy2015/MT1D_dobs.npy differ diff --git a/notebooks/scipy2015/MT1D_dtrue.npy b/notebooks/scipy2015/MT1D_dtrue.npy index 1b21c982..12f5fed4 100644 Binary files a/notebooks/scipy2015/MT1D_dtrue.npy and b/notebooks/scipy2015/MT1D_dtrue.npy differ diff --git a/notebooks/scipy2015/MT1Dinversion_Scipy2015_NoStopping.ipynb b/notebooks/scipy2015/MT1Dinversion_Scipy2015_NoStopping.ipynb index 6cbdb115..85b6d285 100644 --- a/notebooks/scipy2015/MT1Dinversion_Scipy2015_NoStopping.ipynb +++ b/notebooks/scipy2015/MT1Dinversion_Scipy2015_NoStopping.ipynb @@ -38,23 +38,23 @@ "nFreq = 31\n", "freqs = np.logspace(3,-3,nFreq)\n", "# Set mesh parameters\n", - "ct = 10\n", - "air = simpeg.Utils.meshTensor([(ct,25,1.3)])\n", - "core = np.concatenate( ( np.kron(simpeg.Utils.meshTensor([(ct,5,-1.2)]),np.ones((3,))) , simpeg.Utils.meshTensor([(ct,5)]) ) )\n", - "bot = simpeg.Utils.meshTensor([(core[0],25,-1.3)])\n", + "ct = 20\n", + "air = simpeg.Utils.meshTensor([(ct,16,1.4)])\n", + "core = np.concatenate( ( np.kron(simpeg.Utils.meshTensor([(ct,10,-1.3)]),np.ones((5,))) , simpeg.Utils.meshTensor([(ct,5)]) ) )\n", + "bot = simpeg.Utils.meshTensor([(core[0],10,-1.4)])\n", "x0 = -np.array([np.sum(np.concatenate((core,bot)))])\n", "# Make the model\n", "m1d = simpeg.Mesh.TensorMesh([np.concatenate((bot,core,air))], x0=x0)\n", "\n", "# Setup model varibles\n", "active = m1d.vectorCCx<0.\n", - "layer1 = (m1d.vectorCCx<-200.) & (m1d.vectorCCx>=-600.)\n", - "layer2 = (m1d.vectorCCx<-2000.) & (m1d.vectorCCx>=-4000.)\n", + "layer1 = (m1d.vectorCCx<-500.) & (m1d.vectorCCx>=-800.)\n", + "layer2 = (m1d.vectorCCx<-3500.) & (m1d.vectorCCx>=-5000.)\n", "# Set the conductivity values\n", "sig_half = 2e-3\n", "sig_air = 1e-8\n", - "sig_layer1 = 1\n", - "sig_layer2 = .1\n", + "sig_layer1 = .2\n", + "sig_layer2 = .2\n", "# Make the true model\n", "sigma_true = np.ones(m1d.nCx)*sig_air\n", "sigma_true[active] = sig_half\n", @@ -123,14 +123,14 @@ "# Assign the datas to the survey object\n", "survey.dtrue = d_true\n", "survey.dobs = d_obs\n", - "survey.std = survey.dobs*0 + std\n", + "survey.std = np.abs(survey.dobs*std) + 0.01*np.linalg.norm(survey.dobs) #survey.dobs*0 + std\n", "# Assign the data weight\n", - "survey.Wd = 1/(abs(survey.dobs)*survey.std)" + "survey.Wd = 1/survey.std #(abs(survey.dobs)*survey.std)" ] }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 5, "metadata": { "collapsed": false }, @@ -149,13 +149,15 @@ "dmis = simpeg.DataMisfit.l2_DataMisfit(survey)\n", "# Regularization\n", "# Note: We want you use a mesh the corresponds to the domain we want to solve, the active cells.\n", - "if False:\n", + "if True:\n", " regMesh = simpeg.Mesh.TensorMesh([m1d.hx[problem.mapping.sigmaMap.maps[-1].indActive]],m1d.x0)\n", " reg = simpeg.Regularization.Tikhonov(regMesh)\n", "else:\n", " reg = simpeg.Regularization.Tikhonov(m1d,mapping=mappingExpAct)\n", - "reg.alpha_s = 1e-8\n", + "reg.smoothModel = True\n", + "reg.alpha_s = 1e-7\n", "reg.alpha_x = 1.\n", + "# reg.alpha_xx = 0.001\n", "# Inversion problem\n", "invProb = simpeg.InvProblem.BaseInvProblem(dmis, reg, opt)\n", "invProb.counter = C\n", @@ -163,14 +165,14 @@ "beta = simpeg.Directives.BetaSchedule()\n", "betaest = simpeg.Directives.BetaEstimate_ByEig(beta0_ratio=0.75)\n", "saveModel = simpeg.Directives.SaveModelEveryIteration()\n", - "saveModel.fileName = 'Inversion_NoStopping'\n", + "saveModel.fileName = 'Inversion_NoStoppingregMesh_smoothTrue'\n", "# Create an inversion object\n", "inv = simpeg.Inversion.BaseInversion(invProb, directiveList=[beta,betaest,saveModel]) \n" ] }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 6, "metadata": { "collapsed": false, "scrolled": false @@ -184,46 +186,46 @@ "SimPEG.InvProblem is setting bfgsH0 to the inverse of the eval2Deriv.\n", " ***Done using same solver as the problem***\n", "SimPEG.l2_DataMisfit is creating default weightings for Wd.\n", - "SimPEG.SaveModelEveryIteration will save your models as: '###-Inversion_NoStopping.npy'\n", + "SimPEG.SaveModelEveryIteration will save your models as: '###-Inversion_NoStoppingregMesh_smoothTrue.npy'\n", "============================ Inexact Gauss Newton ============================\n", " # beta phi_d phi_m f |proj(x-g)-x| LS Comment \n", "-----------------------------------------------------------------------------\n", - " 0 3.97e+05 1.32e+06 1.77e-07 1.32e+06 3.23e+05 0 \n", - " 1 3.97e+05 1.89e+05 3.57e-07 1.89e+05 4.74e+04 0 \n", - " 2 3.97e+05 3.88e+04 4.77e-06 3.88e+04 1.11e+04 0 Skip BFGS \n", - " 3 4.96e+04 3.69e+04 5.13e-06 3.69e+04 1.05e+04 0 Skip BFGS \n", - " 4 4.96e+04 2.71e+04 8.22e-06 2.71e+04 7.80e+03 0 Skip BFGS \n", - " 5 4.96e+04 2.34e+04 1.04e-05 2.34e+04 6.80e+03 0 Skip BFGS \n", - " 6 6.21e+03 2.11e+04 1.23e-05 2.11e+04 6.19e+03 0 Skip BFGS \n", - " 7 6.21e+03 1.27e+04 2.87e-05 1.27e+04 3.95e+03 0 Skip BFGS \n", - " 8 6.21e+03 1.07e+04 3.77e-05 1.07e+04 3.41e+03 0 Skip BFGS \n", - " 9 7.76e+02 9.53e+03 4.53e-05 9.53e+03 3.09e+03 0 Skip BFGS \n", - " 10 7.76e+02 5.51e+03 1.06e-04 5.51e+03 1.97e+03 0 Skip BFGS \n", - " 11 7.76e+02 4.57e+03 1.39e-04 4.57e+03 1.69e+03 0 Skip BFGS \n", - " 12 9.70e+01 4.02e+03 1.66e-04 4.02e+03 1.53e+03 0 Skip BFGS \n", - " 13 9.70e+01 2.27e+03 3.59e-04 2.27e+03 9.73e+02 0 Skip BFGS \n", - " 14 9.70e+01 1.83e+03 4.62e-04 1.83e+03 8.24e+02 0 Skip BFGS \n", - " 15 1.21e+01 1.57e+03 5.44e-04 1.57e+03 7.36e+02 0 Skip BFGS \n", - " 16 1.21e+01 8.91e+02 1.06e-03 8.91e+02 4.57e+02 0 Skip BFGS \n", - " 17 1.21e+01 6.95e+02 1.35e-03 6.95e+02 3.66e+02 0 Skip BFGS \n", - " 18 1.51e+00 5.92e+02 1.57e-03 5.92e+02 3.13e+02 0 Skip BFGS \n", - " 19 1.51e+00 3.56e+02 2.57e-03 3.56e+02 1.75e+02 0 Skip BFGS \n", - " 20 1.51e+00 3.22e+02 3.06e-03 3.22e+02 1.53e+02 0 Skip BFGS \n", - " 21 1.89e-01 2.75e+02 3.38e-03 2.75e+02 1.25e+02 0 \n", - " 22 1.89e-01 1.98e+02 4.78e-03 1.98e+02 8.83e+01 0 Skip BFGS \n", - " 23 1.89e-01 1.51e+02 5.79e-03 1.51e+02 7.53e+01 0 \n", - " 24 2.37e-02 1.19e+02 6.62e-03 1.19e+02 6.26e+01 0 Skip BFGS \n", - " 25 2.37e-02 8.19e+01 1.04e-02 8.19e+01 4.51e+01 0 Skip BFGS \n", - " 26 2.37e-02 7.08e+01 1.12e-02 7.08e+01 3.79e+01 1 \n", - " 27 2.96e-03 5.49e+01 1.16e-02 5.49e+01 3.51e+01 0 \n", - " 28 2.96e-03 4.67e+01 1.23e-02 4.67e+01 3.03e+01 1 \n", - " 29 2.96e-03 3.27e+01 1.32e-02 3.27e+01 3.13e+01 0 \n", - " 30 3.70e-04 2.51e+01 1.36e-02 2.51e+01 2.30e+01 0 \n", + " 0 2.55e+05 2.18e+05 0.00e+00 2.18e+05 4.01e+04 0 \n", + " 1 2.55e+05 2.50e+04 2.21e-03 2.55e+04 5.64e+03 0 \n", + " 2 2.55e+05 3.37e+03 4.74e-03 4.58e+03 9.91e+02 0 Skip BFGS \n", + " 3 3.19e+04 1.78e+03 4.90e-03 1.93e+03 2.83e+02 0 Skip BFGS \n", + " 4 3.19e+04 9.92e+02 1.67e-02 1.52e+03 2.15e+02 0 Skip BFGS \n", + " 5 3.19e+04 7.50e+02 1.83e-02 1.33e+03 1.06e+02 0 \n", + " 6 3.99e+03 6.23e+02 2.13e-02 7.08e+02 1.40e+02 0 Skip BFGS \n", + " 7 3.99e+03 3.26e+02 5.92e-02 5.62e+02 2.61e+02 0 \n", + " 8 3.99e+03 3.58e+02 3.99e-02 5.17e+02 1.18e+02 0 \n", + " 9 4.98e+02 3.33e+02 4.07e-02 3.53e+02 1.14e+02 1 \n", + " 10 4.98e+02 2.51e+02 1.43e-01 3.22e+02 3.78e+02 0 \n", + " 11 4.98e+02 1.75e+02 1.17e-01 2.34e+02 2.27e+02 1 \n", + " 12 6.23e+01 7.99e+01 1.45e-01 8.89e+01 5.71e+01 0 Skip BFGS \n", + " 13 6.23e+01 7.36e+01 1.92e-01 8.56e+01 1.16e+02 0 Skip BFGS \n", + " 14 6.23e+01 6.72e+01 1.99e-01 7.96e+01 7.08e+01 0 \n", + " 15 7.79e+00 6.04e+01 2.08e-01 6.21e+01 2.97e+01 0 \n", + " 16 7.79e+00 5.60e+01 2.35e-01 5.78e+01 4.30e+01 0 \n", + " 17 7.79e+00 4.85e+01 3.72e-01 5.14e+01 3.44e+01 0 \n", + " 18 9.73e-01 4.34e+01 3.81e-01 4.38e+01 7.57e+00 0 \n", + " 19 9.73e-01 4.30e+01 3.60e-01 4.33e+01 1.87e+01 0 Skip BFGS \n", + " 20 9.73e-01 4.20e+01 3.74e-01 4.24e+01 1.23e+01 0 \n", + " 21 1.22e-01 4.03e+01 4.12e-01 4.04e+01 1.79e+01 2 \n", + " 22 1.22e-01 4.00e+01 4.83e-01 4.01e+01 2.70e+01 0 Skip BFGS \n", + " 23 1.22e-01 3.92e+01 4.79e-01 3.92e+01 2.06e+01 0 \n", + " 24 1.52e-02 3.86e+01 5.04e-01 3.86e+01 1.97e+01 2 Skip BFGS \n", + " 25 1.52e-02 3.82e+01 5.02e-01 3.82e+01 3.32e+01 0 \n", + " 26 1.52e-02 3.80e+01 4.74e-01 3.80e+01 2.44e+01 0 \n", + " 27 1.90e-03 3.76e+01 4.57e-01 3.76e+01 3.62e+01 1 Skip BFGS \n", + " 28 1.90e-03 3.74e+01 4.77e-01 3.74e+01 3.13e+01 1 \n", + " 29 1.90e-03 3.74e+01 4.55e-01 3.74e+01 2.68e+01 0 \n", + " 30 2.38e-04 3.71e+01 4.30e-01 3.71e+01 2.24e+01 1 \n", "------------------------- STOP! -------------------------\n", - "1 : |fc-fOld| = 7.6530e+00 <= tolF*(1+|f0|) = 1.3164e+05\n", - "1 : |xc-x_last| = 4.1960e+00 <= tolX*(1+|x0|) = 4.2689e+00\n", - "0 : |proj(x-g)-x| = 2.2988e+01 <= tolG = 1.0000e-01\n", - "0 : |proj(x-g)-x| = 2.2988e+01 <= 1e3*eps = 1.0000e-02\n", + "1 : |fc-fOld| = 3.3322e-01 <= tolF*(1+|f0|) = 2.1833e+04\n", + "1 : |xc-x_last| = 1.0086e+00 <= tolX*(1+|x0|) = 5.1104e+00\n", + "0 : |proj(x-g)-x| = 2.2396e+01 <= tolG = 1.0000e-01\n", + "0 : |proj(x-g)-x| = 2.2396e+01 <= 1e3*eps = 1.0000e-02\n", "1 : maxIter = 30 <= iter = 30\n", "------------------------- DONE! -------------------------\n" ] @@ -236,14 +238,14 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [], "source": [ "modList = []\n", - "modFiles = glob('*Inversion_NoStopping.npy')\n", + "modFiles = glob('*Inversion_NoStoppingregMesh_smoothTrue.npy')\n", "modFiles.sort()\n", "for f in modFiles:\n", " modList.append(np.load(f))" @@ -251,39 +253,157 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [], "source": [ - "simpegmt.Utils.dataUtils.plotMT1DModelData(problem,modList)\n", - "plt.show()\n" + "# simpegmt.Utils.dataUtils.plotMT1DModelData(problem,modList)\n", + "# plt.show()\n" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 9, "metadata": { "collapsed": false }, - "outputs": [], + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/home/gudni/anaconda/lib/python2.7/site-packages/numpy/ma/core.py:2834: FutureWarning: Numpy has detected that you (may be) writing to an array returned\n", + "by numpy.diagonal or by selecting multiple fields in a record\n", + "array. This code will likely break in a future numpy release --\n", + "see numpy.diagonal or arrays.indexing reference docs for details.\n", + "The quick fix is to make an explicit copy (e.g., do\n", + "arr.diagonal().copy() or arr[['f0','f1']].copy()).\n", + " if (obj.__array_interface__[\"data\"][0]\n", + "/home/gudni/anaconda/lib/python2.7/site-packages/numpy/ma/core.py:2835: FutureWarning: Numpy has detected that you (may be) writing to an array returned\n", + "by numpy.diagonal or by selecting multiple fields in a record\n", + "array. This code will likely break in a future numpy release --\n", + "see numpy.diagonal or arrays.indexing reference docs for details.\n", + "The quick fix is to make an explicit copy (e.g., do\n", + "arr.diagonal().copy() or arr[['f0','f1']].copy()).\n", + " != self.__array_interface__[\"data\"][0]):\n" + ] + }, + { + "data": { + "image/png": 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8/fXXfPbZZ/Tp04dBgwZFMWp1uPLl8W4k6ONdFQviqVk/kvy4/jq3bk1B0TpR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\ny+XKdLlcRcDbwIVBbhMQ2J4+F/ZOG1OBZ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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ - "%matplotlib qt\n", - "simpegmt.Utils.dataUtils.plotMT1DModelData(problem,modList)\n", + "%matplotlib inline\n", + "fig = simpegmt.Utils.dataUtils.plotMT1DModelData(problem,[m_0,mopt])\n", + "fig.suptitle('No stopping-useMref')\n", "plt.show()" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [], "source": [ - "%matplotlib qt\n", - "simpegmt.Utils.dataUtils.plotMT1DModelData(problem,modList[-3:-1])\n", + "reg.alpha_xx = 0.001\n", + "saveModel.fileName = 'Inversion_NoStoppingregMesh_smoothTrueWxx'" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "SimPEG.InvProblem is setting bfgsH0 to the inverse of the eval2Deriv.\n", + " ***Done using same solver as the problem***\n", + "SimPEG.SaveModelEveryIteration will save your models as: '###-Inversion_NoStoppingregMesh_smoothTrueWxx.npy'\n", + "============================ Inexact Gauss Newton ============================\n", + " # beta phi_d phi_m f |proj(x-g)-x| LS Comment \n", + "-----------------------------------------------------------------------------\n", + " 0 2.54e+05 2.18e+05 0.00e+00 2.18e+05 4.01e+04 0 \n", + " 1 2.54e+05 2.50e+04 2.21e-03 2.55e+04 5.64e+03 0 \n", + " 2 2.54e+05 3.37e+03 4.74e-03 4.57e+03 9.91e+02 0 Skip BFGS \n", + " 3 3.17e+04 1.77e+03 4.92e-03 1.93e+03 2.83e+02 0 Skip BFGS \n", + " 4 3.17e+04 9.89e+02 1.68e-02 1.52e+03 2.15e+02 0 Skip BFGS \n", + " 5 3.17e+04 7.47e+02 1.84e-02 1.33e+03 1.06e+02 0 \n", + " 6 3.96e+03 6.19e+02 2.14e-02 7.04e+02 1.39e+02 0 Skip BFGS \n", + " 7 3.96e+03 3.25e+02 5.92e-02 5.60e+02 2.61e+02 0 \n", + " 8 3.96e+03 3.55e+02 4.00e-02 5.14e+02 1.17e+02 0 \n", + " 9 4.95e+02 3.29e+02 4.10e-02 3.50e+02 1.13e+02 1 \n", + " 10 4.95e+02 2.48e+02 1.43e-01 3.19e+02 3.78e+02 0 \n", + " 11 4.95e+02 1.75e+02 1.18e-01 2.33e+02 2.31e+02 1 \n", + " 12 6.19e+01 7.93e+01 1.45e-01 8.83e+01 5.76e+01 0 Skip BFGS \n", + " 13 6.19e+01 6.97e+01 1.87e-01 8.13e+01 9.12e+01 0 Skip BFGS \n", + " 14 6.19e+01 6.36e+01 1.88e-01 7.53e+01 2.36e+01 0 \n", + " 15 7.74e+00 6.22e+01 1.94e-01 6.37e+01 2.16e+01 0 \n", + " 16 7.74e+00 5.72e+01 2.23e-01 5.89e+01 3.88e+01 1 \n", + " 17 7.74e+00 5.15e+01 3.19e-01 5.40e+01 4.78e+01 1 Skip BFGS \n", + " 18 9.68e-01 4.36e+01 3.51e-01 4.39e+01 1.50e+01 0 \n", + " 19 9.68e-01 4.22e+01 4.45e-01 4.27e+01 2.01e+01 0 Skip BFGS \n", + " 20 9.68e-01 4.13e+01 4.20e-01 4.17e+01 9.91e+00 0 \n", + " 21 1.21e-01 4.02e+01 4.47e-01 4.02e+01 2.47e+01 1 \n", + " 22 1.21e-01 3.96e+01 4.82e-01 3.96e+01 2.93e+01 0 Skip BFGS \n", + " 23 1.21e-01 3.92e+01 4.94e-01 3.93e+01 2.75e+01 0 \n", + " 24 1.51e-02 3.90e+01 5.51e-01 3.90e+01 2.27e+01 0 Skip BFGS \n", + " 25 1.51e-02 3.82e+01 5.19e-01 3.82e+01 1.94e+01 0 \n", + " 26 1.51e-02 3.79e+01 5.52e-01 3.79e+01 1.71e+01 1 Skip BFGS \n", + " 27 1.89e-03 3.76e+01 5.39e-01 3.76e+01 2.16e+01 1 \n", + " 28 1.89e-03 3.76e+01 6.14e-01 3.76e+01 3.82e+01 1 Skip BFGS \n", + " 29 1.89e-03 3.69e+01 5.53e-01 3.69e+01 3.71e+01 0 \n", + " 30 2.36e-04 3.57e+01 5.65e-01 3.57e+01 1.91e+01 0 \n", + "------------------------- STOP! -------------------------\n", + "1 : |fc-fOld| = 1.1797e+00 <= tolF*(1+|f0|) = 2.1833e+04\n", + "1 : |xc-x_last| = 1.0384e+00 <= tolX*(1+|x0|) = 5.1104e+00\n", + "0 : |proj(x-g)-x| = 1.9125e+01 <= tolG = 1.0000e-01\n", + "0 : |proj(x-g)-x| = 1.9125e+01 <= 1e3*eps = 1.0000e-02\n", + "1 : maxIter = 30 <= iter = 30\n", + "------------------------- DONE! -------------------------\n" + ] + } + ], + "source": [ + "moptWxx = inv.run(m_0)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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bJDZ0onDSxFCp6JoK/NIY88OGGhhjzgB+6bc9IGzfvr3GGsnVtSQxBG+8T0K8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\n1Cm/mjh27BilpaVs3ryZLVu2cN1118XVHUc86Nq1K9dddx379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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%matplotlib inline\n", + "fig = simpegmt.Utils.dataUtils.plotMT1DModelData(problem,[mopt,moptWxx])\n", + "fig.suptitle('No stopping-useMref - Wxx')\n", "plt.show()" ] }, diff --git a/notebooks/scipy2015/MT1Dinversion_Scipy2015_NoStopping_regMesh.ipynb b/notebooks/scipy2015/MT1Dinversion_Scipy2015_NoStopping_regMesh.ipynb index dc52b296..e040ee3f 100644 --- a/notebooks/scipy2015/MT1Dinversion_Scipy2015_NoStopping_regMesh.ipynb +++ b/notebooks/scipy2015/MT1Dinversion_Scipy2015_NoStopping_regMesh.ipynb @@ -53,8 +53,8 @@ "# Set the conductivity values\n", "sig_half = 2e-3\n", "sig_air = 1e-8\n", - "sig_layer1 = 1\n", - "sig_layer2 = .1\n", + "sig_layer1 = .2\n", + "sig_layer2 = .2\n", "# Make the true model\n", "sigma_true = np.ones(m1d.nCx)*sig_air\n", "sigma_true[active] = sig_half\n", @@ -102,7 +102,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 4, "metadata": { "collapsed": false }, @@ -130,7 +130,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 5, "metadata": { "collapsed": false }, @@ -154,6 +154,7 @@ " reg = simpeg.Regularization.Tikhonov(regMesh)\n", "# else:\n", "# reg = simpeg.Regularization.Tikhonov(m1d,mapping=mapAct)\n", + "reg.smoothModel = False\n", "reg.alpha_s = 1e-8\n", "reg.alpha_x = 1.\n", "# Inversion problem\n", @@ -163,17 +164,16 @@ "beta = simpeg.Directives.BetaSchedule()\n", "betaest = simpeg.Directives.BetaEstimate_ByEig(beta0_ratio=0.75)\n", "saveModel = simpeg.Directives.SaveModelEveryIteration()\n", - "saveModel.fileName = 'Inversion_NoStoppingregMesh'\n", + "saveModel.fileName = 'Inversion_NoStoppingregMesh_smoothFalse'\n", "# Create an inversion object\n", "inv = simpeg.Inversion.BaseInversion(invProb, directiveList=[beta,betaest,saveModel]) \n" ] }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 6, "metadata": { - "collapsed": false, - "scrolled": false + "collapsed": false }, "outputs": [ { @@ -184,21 +184,48 @@ "SimPEG.InvProblem is setting bfgsH0 to the inverse of the eval2Deriv.\n", " ***Done using same solver as the problem***\n", "SimPEG.l2_DataMisfit is creating default weightings for Wd.\n", - "SimPEG.SaveModelEveryIteration will save your models as: '###-Inversion_NoStoppingregMesh.npy'\n", + "SimPEG.SaveModelEveryIteration will save your models as: '###-Inversion_NoStoppingregMesh_smoothFalse.npy'\n", "============================ Inexact Gauss Newton ============================\n", " # beta phi_d phi_m f |proj(x-g)-x| LS Comment \n", "-----------------------------------------------------------------------------\n", - " 0 3.07e+06 5.84e+06 2.95e-02 5.93e+06 1.45e+06 0 \n", - " 1 3.07e+06 6.43e+05 2.81e-02 7.29e+05 1.64e+05 0 \n", - " 2 3.07e+06 6.97e+04 2.75e-02 1.54e+05 1.99e+04 0 Skip BFGS \n", - " 3 3.84e+05 1.01e+04 2.79e-02 2.08e+04 2.95e+03 0 Skip BFGS \n", - " 4 3.84e+05 5.52e+03 2.97e-02 1.69e+04 3.93e+02 0 Skip BFGS \n", - " 5 3.84e+05 5.44e+03 2.93e-02 1.67e+04 7.12e+01 0 Skip BFGS \n", - "------------------------------------------------------------------\n", - "0 : ft = 1.6712e+04 <= alp*descent = 1.6712e+04\n", - "1 : maxIterLS = 10 <= iterLS = 10\n", - "------------------------- End Linesearch -------------------------\n", - "The linesearch got broken. Boo.\n" + " 0 7.58e+05 5.84e+06 0.00e+00 5.84e+06 1.45e+06 0 \n", + " 1 7.58e+05 6.42e+05 2.33e-04 6.43e+05 1.64e+05 0 \n", + " 2 7.58e+05 6.95e+04 7.43e-04 7.00e+04 2.00e+04 0 Skip BFGS \n", + " 3 9.47e+04 9.80e+03 1.31e-03 9.92e+03 2.87e+03 0 Skip BFGS \n", + " 4 9.47e+04 4.94e+03 5.58e-03 5.47e+03 3.72e+02 0 Skip BFGS \n", + " 5 9.47e+04 4.62e+03 7.58e-03 5.33e+03 3.58e+01 0 Skip BFGS \n", + " 6 1.18e+04 4.61e+03 7.61e-03 4.70e+03 5.85e+02 0 Skip BFGS \n", + " 7 1.18e+04 3.57e+03 3.44e-02 3.97e+03 3.49e+02 0 \n", + " 8 1.18e+04 3.27e+03 3.71e-02 3.71e+03 3.65e+02 0 \n", + " 9 1.48e+03 3.19e+03 3.67e-02 3.24e+03 5.87e+02 0 \n", + " 10 1.48e+03 3.11e+03 5.52e-02 3.19e+03 5.02e+02 0 \n", + " 11 1.48e+03 3.10e+03 5.75e-02 3.18e+03 5.14e+02 2 \n", + " 12 1.85e+02 3.09e+03 5.75e-02 3.10e+03 5.39e+02 3 \n", + " 13 1.85e+02 3.06e+03 7.96e-02 3.07e+03 4.75e+02 0 \n", + " 14 1.85e+02 3.06e+03 8.25e-02 3.07e+03 4.80e+02 3 \n", + " 15 2.31e+01 3.05e+03 8.50e-02 3.05e+03 4.82e+02 4 \n", + " 16 2.31e+01 3.04e+03 1.39e-01 3.04e+03 4.80e+02 2 \n", + " 17 2.31e+01 3.01e+03 1.59e-01 3.01e+03 4.72e+02 2 \n", + " 18 2.89e+00 3.01e+03 1.26e-01 3.01e+03 4.87e+02 1 \n", + " 19 2.89e+00 2.45e+03 1.96e-01 2.45e+03 5.42e+02 1 \n", + " 20 2.89e+00 2.11e+03 4.55e-01 2.12e+03 8.59e+02 0 Skip BFGS \n", + " 21 3.61e-01 1.95e+03 5.59e-01 1.95e+03 4.88e+02 0 \n", + " 22 3.61e-01 1.72e+03 5.09e-01 1.72e+03 3.32e+02 0 \n", + " 23 3.61e-01 1.56e+03 6.15e-01 1.56e+03 2.82e+02 0 Skip BFGS \n", + " 24 4.52e-02 1.49e+03 7.06e-01 1.49e+03 2.61e+02 1 \n", + " 25 4.52e-02 1.45e+03 8.86e-01 1.45e+03 2.72e+02 3 Skip BFGS \n", + " 26 4.52e-02 1.41e+03 7.88e-01 1.41e+03 3.08e+02 0 \n", + " 27 5.64e-03 1.41e+03 7.02e-01 1.41e+03 2.64e+02 0 \n", + " 28 5.64e-03 1.27e+03 7.59e-01 1.27e+03 3.48e+02 0 \n", + " 29 5.64e-03 9.93e+02 1.47e+00 9.93e+02 4.30e+02 1 \n", + " 30 7.05e-04 8.33e+02 3.08e+00 8.33e+02 5.44e+02 1 Skip BFGS \n", + "------------------------- STOP! -------------------------\n", + "1 : |fc-fOld| = 1.5990e+02 <= tolF*(1+|f0|) = 5.8433e+05\n", + "0 : |xc-x_last| = 3.4554e+01 <= tolX*(1+|x0|) = 4.2689e+00\n", + "0 : |proj(x-g)-x| = 5.4392e+02 <= tolG = 1.0000e-01\n", + "0 : |proj(x-g)-x| = 5.4392e+02 <= 1e3*eps = 1.0000e-02\n", + "1 : maxIter = 30 <= iter = 30\n", + "------------------------- DONE! -------------------------\n" ] } ], @@ -209,7 +236,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 7, "metadata": { "collapsed": false }, @@ -224,40 +251,43 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { - "name": "stderr", - "output_type": "stream", - "text": [ - "/home/gudni/anaconda/lib/python2.7/site-packages/numpy/ma/core.py:2834: FutureWarning: Numpy has detected that you (may be) writing to an array returned\n", - "by numpy.diagonal or by selecting multiple fields in a record\n", - "array. This code will likely break in a future numpy release --\n", - "see numpy.diagonal or arrays.indexing reference docs for details.\n", - "The quick fix is to make an explicit copy (e.g., do\n", - "arr.diagonal().copy() or arr[['f0','f1']].copy()).\n", - " if (obj.__array_interface__[\"data\"][0]\n", - "/home/gudni/anaconda/lib/python2.7/site-packages/numpy/ma/core.py:2835: FutureWarning: Numpy has detected that you (may be) writing to an array returned\n", - "by numpy.diagonal or by selecting multiple fields in a record\n", - "array. This code will likely break in a future numpy release --\n", - "see numpy.diagonal or arrays.indexing reference docs for details.\n", - "The quick fix is to make an explicit copy (e.g., do\n", - "arr.diagonal().copy() or arr[['f0','f1']].copy()).\n", - " != self.__array_interface__[\"data\"][0]):\n" + "ename": "AttributeError", + "evalue": "'Figure' object has no attribute 'supplot'", + "output_type": "error", + "traceback": [ + "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[1;31mAttributeError\u001b[0m Traceback (most recent call last)", + "\u001b[1;32m\u001b[0m in \u001b[0;36m\u001b[1;34m()\u001b[0m\n\u001b[0;32m 1\u001b[0m \u001b[0mget_ipython\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mmagic\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34mu'matplotlib inline'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 2\u001b[0m \u001b[0mfig\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0msimpegmt\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mUtils\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mdataUtils\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mplotMT1DModelData\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mproblem\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mm_0\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mmopt\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m----> 3\u001b[1;33m \u001b[0mfig\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0msupplot\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 4\u001b[0m \u001b[0mplt\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mshow\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", + "\u001b[1;31mAttributeError\u001b[0m: 'Figure' object has no attribute 'supplot'" ] + }, + { + "data": { + "image/png": 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2bRpZWVmRDkdFmCZ9SkUJY8xsb6tbsK9LCzwOpAKJIlJdRJp5X9XxTA6dmqtM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\nwSO5paWlkRbAgCxrbZZz7kVgonMuBc8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mgQce4Omnn2afj7qpImJ1ehOYYDV1mTuXZWHY\nxpCenh7yMY3oYRU5DCO6vAC8F3i/ABgAFM2HsA9Yqap7KnICVV0CLPEhtxtYXpFzGOGlatWqPPLI\nI4wbN853ugxbijMMoygxZ/SJyEtAkqoOKks23gu+xzL2wIgMqroR2AggIscCa1W1bFeOEZQlS5bQ\nvHlzkpMTKtXgAczrYgDs31Oh33+lsnHjxpCPacQeMWf0AVn4TA5ry0vhozz7JdPT09m6dWsYtQkt\naWlpbNkSmoIvoTSOVXV5YMzqQBO8vXxFZYru9zMCLF26lLFjx3LjjTfGZBLmcFKe63VnHNYLNQ6y\ne8sWNixYQKsQjbdjxw5uvfVWli1bVrawEffEnNGnqi2jrUMiEm+GWWVERJoA/8YLdAqGEkPVMmIp\nOfPOnTv56KOP6Nu3b6Uz+ADmzZvHjz/+SOvWrQ+0Fa3TC7B3xw62L17MhLvvpvfDDxeL7DVim9zd\nu3nzggtIqV8fVq8+7PGmT5/OgAED6N27NxdffDFr1qwpJlOZEi5XBiIevRsqKmP0bqgNt1D++4n0\nQXVsyMaLF0IZtSUinwInAY/g1aYutsyrqtmhONfhEkvXn6oyevRoGjduTO/evaOtTlgJllZDVdmz\nZw9Lly7l/vvv57bbbit1eXvX5s18MGAA+/fupf9bb5HauHGYtTZCQf7+/bzTrx/VatdmUnIy21es\nKCbjNx1PXl4eDz/8MMOHD2fEiBH07ds3DBpXHuIpejcaKVtqA5lAGw6mbNmKl7Jlkqr+5nOcsD90\nYs07FsplyVBjRl9IxtoO3KCqb4divHASS0bf9OnT+e6777juuusSdi+fH5YuXcp1111Hfn4+I0eO\npFWrkhcA8/PymPTgg8x7+WX6v/UWzU4rMWe+EQOoKp8MGcK25cu58pNPSPaZezLYj4Q9e/bw888/\n0759e1577TWaNGkSBo0rF/Fk9EXMty8iSYAL/AlIAXbhGXvgGX81gV0i8jTgRPuJEmyvVg3g3sir\ncpCtW3FjNsDigmgrkAhswrsuDJ+oKmvXrqVfv36V2uADaNGiBdnZ2Tz33HN0796dY489lpSUlGL3\nsoKcfr1cl6annMI7/foxt1kzqtasWUzWEjnHBpNcl3Vz5nBtdrZvgw+8HI/Bcu81b96cCRMm+Er2\nbSQWkdzQ4eBV2hgGvK2qKwt3isjRwGUBOQ38jRqFbU5XBEeV9PR0hhXy/MWy5y3SDJM+0VYhEXgA\nuEdEJqtq8WrmRjFEhIsvvjjaasQMSUlJ3H777Zx77rl07tyZX38tvbJeq3PP5frp0xnfvj09du4s\n1m9b+6PP7H/9iwX//S+Dvv6a6iHKw9esWTMz+KKE67rVABzHiUqWhkh+638A7lTVJ4oafACqukpV\nnwTuDMjGHFu2bEFVD7zAe+hYehMjRPQFmgHLRWS8iLxT6PWuiMRUibRhw4aRbZUdYpJWrVrRqVMn\nX7JpzZtz5EknhVkjoyLkfPghk1yXq774gtRGjaKtjnEYuK5bw3XdM4GxwH9d1+0XDT0i6emrh48E\nscBSDu71iymC7fEzb58RQo7A+/8vQDWgYaBdA22xsYkugKVMim3K82NUzOsTc6ycOpWPb7iBAZ99\nRnqLFuU+fuvWreTk5IRBM6O8uK6bhpd4/2zgbeAn4GXXdb9zHGdxJHWJpNE3HW/pakZJwRoikgrc\nQ5TLtAUz7oaJkJaWFtKIV8MojKpmRVsHI/Epa8nXiA6F6+nu27mTDd9+S4N27Vjz3HPl3lf58ccf\nM3To0Eq/zzUWCCznXgl0AB53HGdKoH01EPFs65E0+m4FJgIrROQLvGjdbYG+ukA7PCt4LxD2vAul\nReYWNe4K9vQZRqQQz01zJLBJVXOjrU+soKp89dVXnHLKKdSqVSva6sQlCxYs4Pnnn+fmm28u0xto\nP3IjR9F6um0AFi5kWTmqsGzZsoXbb7+dadOm8cYbbzBy5Mhi0btgufciTA+8SMeHHceZ4rpuMt5W\nnrXA7EgrEzGjT1V/EJHjgRvxks/2pnjKlieAF1V1W/BRwoMt0RqxgoichxfE1BEvEfPJwFwR+Q9e\nSqP/RlO/aPPdd9+xePFiMjMzo61KzFPSgz09PZ2RI0fyv//9j5dffpm0tLRiiZzz8/JY/+23pMVQ\nyirjIMFSsWzevJmlS5cyZMgQ5s+fT61atew6iTKu61YBhgAfOI4zOfC5B3AKnsGXH2mdIpqOXVW3\n4iWefSSS5w1GYSPPAjGMWEBErgFeAd4AhgMjC3X/BFwPVFqjb/fu3YwfP57LLrvMlq18MKqUJcG9\ne/dyzz330KlTJ956662gy4c7N27k5VNPZfa//kWXIUPCp6gBeNU2/FJSKpaOHTvyzDPPhFIt4/BQ\nYA8HE+1fhveDfh8wynGcPNd1xXGciLnUrQYPnqevLMNvWAgNQ/MsGiVwP/Ckqt4rIlU41Oj7Hvhz\ndNSKDSZMmEDbtm1p2rRptFWJe6pXr84zzzxDVlYWF154IU2bNiU1NbXYffDIE08kd9gwah91FG0u\nsFyc4WLDwoWsnzeP1mWLlkrdunVDoo8RGgJG3bPA667rDsRb0p0CvOk4znbXdZMdx8mLpE5m9EGZ\nBlio9/SZZ9EogWOA8SX07QHqRFCXMolk7d0VK1awZMkSbrrpprCfqzJx0UUXcdJJJ3HCCScEDfDI\nzMzksg8/5M3zz+eKTz6h6SmnREHLxGb1jBm81acP6S1bwqJFvo7Zty8qKd6MANnZ2b7TVTmOM9d1\n3d54sQvLHcfZW6gvD8B13VOAPLy9fh2A5x3H+TzUeoPV3vVFqI2+WCvvFikS0cMZ4jJsS/D2tD4Z\n8PTtA7qo6lwRuRu4RlVPCMW5DpdIl2GbN28eKSkptG3bNmLnrEz07NmTKVOmFGvPzMwkOzubHz/5\nhI8HD2bg5MnUL6W8m1E+lv3vf7x3+eVcOHIkL7z77oHo3cIUrYry3nvvceWVV5KbWzy+q+D7MiKL\n3+eA67qX4Rl+MwKfXwN+BHoBo4Cr8SqWvQK86jhOyPf8macvCiSa4QP+au+ah7NMXgIcEVkPfBRo\nSxKR3wF3A3+PmmZRxm+iYaNilFWdofX555M5bBhvnHMO13/zDbUaNixV3iibnI8+4uPBg7nk3XfJ\nyMzkmfPOK1V+06ZN3HLLLcyfP5/jjz+eb7/9NkKaGiFkCt6ePlzX7Yi3x6+/4zj/cF33PGAlMAGY\nEA6DD8zT54vH0tPZUwk9c+VhGBeUafQlqoczhJ6+JOA5vAj3fLzo3f2Bvy+q6s2hOE8oiLSnzwgv\nWVlZQQMDevbseUj7ZSeeyNZly2jcsSNJhYJprEZv+VjwxhuMv/NOrvzkE47q0qVM+ffee49bb72V\nq666igcffJChQ4eWmIqltAAeIzxUdMXHdd3zgf8D3gSOAiYBnzuOsynEKh7AjD4jJPjx9CUioVze\nLTRmS7yURg2ALcD/VDWiWdvLwq6/xKIkoy89PZ1ly5ZRp463nfTazEyOnTy5mNyyzExG2bKiL2a9\n8AJTH3mEAZ9/TsPjjz/QHiwNy759+1i7di01atRg5MiRdO/ePcLaGn4o73PAdd2kAk+e67pPALcB\nTwKO4zj7w6QmYMu7hhETiEgKsB24VFU/xF/JQsMICcFy+uXn57Nhwwa6devG2LFjadmypW3RKCeF\nq2wAbFuxgt/WraPVeecdYvBByWlYmjZtemBPq5EYFDL4LsHz8L2AZ4+F/QIzo88wYgBV3S0iG/GW\ncys9u3btYsWKFbRr1y7aqlQKSlsSHDFiBKeddhqjR4+OnEIJQtEqGwUs++UX32O0aNHCDL7E5Rs8\nQ28MkOw4TtirL5nRZxixw7+A20RkvKpW6pwM48ePJyUlxYy+GGDo0KG0bduWK664gozatcmguDti\n+8qV5OflHbLPzyhfGTvbLlH5cBxnjeu67wdSt0Sk3KYZfYYRO9QFTgCWiciXwAa8jO4HUNW7o6FY\nMMKVp+/nn39m+fLllpMvhujVqxdff/017dq04Xu8KvGFDb/cVat4tVcvLnr1VdKaN4+SlrHDnu3b\n+XbUKNbOnMmxPuSnT5/O3Llzw66XEXtYcmbDqLz0B/biPU9PL9IneAZgTBl9oSY3N5dx48Zxzjnn\nUK1atZCPb1ScFi1a0CA9nXWbNvFbkb6j0tNpc+GFvNS1K70ffZROgwYl7P6/ovv0CqiXkcF9d97J\nrOHD+f7tt2n5+99Tv21bKCW1yqZNm7j33nv57LPPaNKkCYsXx1S8lpGAmNFnGDGCqmZEW4doM2XK\nFBo1akSbNm2irYoRhNbHHce6IHvUWrVrx6l33knLs8/mg6uuYvFHHzE1JYWdGzYUk4339C4l7dP7\nZt483pgwgc5DhnDTDz9Q+8gj+bgEL3i+Ks8//zwPPvggV199NTk5Odx22200bty4mGywIBvDqChm\n9BmGERPk5eWxYsUK+vfvH21VjHJSsB+t4QknMHjmTLKHDSPnySfpGaRqxLJIKxch6jRpwu3z55Nc\nteqBtpmrV/N5kXq4+/bvZ+e0aaxOTuarr77i+EAUr+XXMyKBGX2GEUOItyZ2GtAKqFG0X1VfiLhS\nESI5OZmBAwcm7LJgIrNo0SJ+/fVXateuTXK1avR++GH+89lnpS5tJhq1GjY8xOADaNi0KYuWLi0m\n265dO7788kv7v25EHDP6DCNGEJFGwP+A0kJWE9boAyvVF68kJydz8skn895773HCCV556BpFPFyJ\nwG/r17Pxu+843FCVhg0b2v91IyqY0WcYscNTeAmajwZWAd3wIngHANcA50dPNcMoeX9ZRkYGvXr1\nolevXjz11FNcc801JY6xadEi1s6Zw1GdO4dJy9Cjqsx/7TUm3HUXVWvWhDLy7Kkq06ZN44cffoiQ\nhobhDzP6DCN2yARuB9YXNKjqCuBhEUnG8/KdFSXdDKPMfWcnnXQS/fv3Z+rUqeTlB68XX61WLd7u\n25d6GRl0u+MO2vTpw5+uv77EiNjDCfooLdLW77jbV67kkyFD+G39eq764gtGXnIJM4J4MdNXr2bX\nrl2MHj2a4cOHs3PnTurUqcOmTWEro2oY5caMPsOIHeoBm1U1T0R2AA0L9X0D3BMdtcLDli1bmDlz\nJmeffbYtdSUI7du3Z/bs2QwePJgPZ8wgNTWVKkUSNqcnJfHe0qXkjBnDN48/zvg772RlUhIdgux9\nO9ygjxIrYhT5HMw4VFXy9u6lw9KldLvjDk696y6Sq1YtcZ9eldRUmjVrxqmnnsqjjz7KmWeeyRln\nnMHSILKGES1KNPpE5AmKJIb1yT9VdU3FVTKMSssyoGng/Q/AVcAngc/nA1uioVQ42L17N6NHj6Zb\nt25m8CUYtWvX5s0336R169YsWVK8hHTbjh1JrlqV4y+9lOMvvZTV06czvk+fKGh6kBLTsNSuzcAZ\nMzjCR2UYEWHWrFk0L5ScurTlcMOIBqV5+u7EW2ba63MswduL9BZgRp9hlJ9PgTOB0cDfgbEishqv\nHm8zEsTTl5eXx7vvvkvLli3p0qVLtNUxwoCI0KRJk6BGX1GaduvGEccdB0GMrsNl/549QdvXzJjB\nyNNPp1bDhtQ84gi+nDWLYAXkklNSDhh8qspPP/3EmjXBH28tWrQ4xOADS8NixB5lLe/2VdUZfgYS\nkSpApa4XahiHg6reW+j9ZyJyKtAXSAHGq+pnUVMuRKgqn376KVWrVuWss2x7YmVk716/fgTYuXEj\nqlpub/DeX39l6iOPsHb2bFoF6W/Yvj1nPPQQOzduZOemTeweNYpgoRlH7N7NW2+9xcSJE5kwYQJ5\neXns37+/XLoYRiyRVErfa0B5dqDmBY4pPazJMAxfqOosVf2Lqt4RiwbfsGHDyM7OLtcx8+fPZ82a\nNVx88cUkJZV2+zESlVmzZnHzzTezatWqMmW3r1zJqJ49WeezLm1+Xh5zX3qJ59u04dc1azjq5JOD\nylWtWZNjevbkuP79OXnoUKrUKJYSE4BNv/7K6NGj6dChA59//jmrVq2ibdu2vnQxjFikRE+fqg4s\nz0DqpWQv1zGGYRRHRM4GTgaOBNYBM1V1fHS1Kk5Fau8ed9xxtGjRgurVq4deISMu6Nq1K7Vq1aJj\nx45cdtll3HfffUErVwCk1a/PiddcwxvnnkvrCy6g90MPcf/ddweNyE2uXp2TN2ygeu3aXDF2LEd1\n6cJfWrZkYgmRtgBr167l66+/Zsfu3UF1bVinDmPHjj2kzfbpGfGMRe8aRowgIkcBHwJdgI2BVyPg\nCBGZA1wU70FS1apVo1q1atFWw4gApRlHjz/+OHfddRdPPvkkHTt2pHr16mzYvr2YbNuOHek8eDDH\nX3IJkx58kBeOP54P9uwh6bffisnuTUrizrffpl2/fgeWg0uKtNXq1Tn22GPZvn07PXr0oGrVquze\nV3x3UtWUlGJttk/PiGekoGZimYIiTYALgKMIXh7q7tCqVqY+6ld3I/yI9EF1bNmCCYaIoKohCT8V\nkU+AE4HLVfWbQu098AKkFqjqeaE41+Fi158RKjZt2kTnzp2DLvdmZmYesoVgc04OrU84ga15ecVk\nG9apc8Bw/OWXX8jJyWHQoEH8+OOPxWRbt27Nhx9+SJs2bUhKSiIrK4tJQQJJip7fMIIRyudAuPHl\n6RORy/H264G3z6/wTyLBS+0SUaPPMBKQM4DrCxt8AKr6tYjcA7wUHbUMI3wcccQRHHvssUGNvmnT\npnHaaadxzDHHcMwxx9CsWTO0enXYtauY7I7duzn99NPJyclh3759tGvXju1BvIcARx55JO0KpWGx\nJVujsuB3efch4D3gRlXdEUZ9jAQjPT2drVu3RluNeGEjEHxzkdceV6n9VZXp06fTpUsXqhYpRG8Y\nfujUqRMPPfQQK1euZMWKFcyZM4edJUT/Vk1O5sEHH6Rdu3Y0atQIESErK4sNGzaUeR5bsjUqC36N\nvgbAy2bwGeVl69atJPIyYIgTCz8MuCIyW1VXFzrH0YAb6I8bpk6dyo8//sjJJURQGkZZ1KhRg8zM\nzEPaPn733aD7/2pWr06vXr0ipZphxCV+jb4PgSzgy/CpYhiVnjOB+sBSEZnLwUCOk/C8fL1FpDeB\nLRWqemnUNC2DpUuXMnPmTAYPHkyVKhYvZpROeZZXq9SoAUGMvmBpV2zZ1jAOxVcgh4jUBl4HNgP/\nA7YVlVHVT0OuXek62UbyGKKkQI7ABtcoaBQZQhzIkY23P7ak8Qr+IQuMvqi5NUq7/rZt28ZLL71E\n//797eFqhJyBAweyPEjKloyMDFumNaJCPAVy+DX6TsLb05dRgoiqarAqNmHDjL7Ywoy+2EFEUvEC\nq/rhlUYEWA28Dzyuqr+G4BxBr7/9+/czcuRIjj/+eE499dTDPY1hGEbME4vPgZLwu+7yMrADOA9Y\nipVbM4xY5g0gB6+EW0FIZDPg+kBfWKvbd+rUic6dO4fzFIZhGEYF8Ovp2wVcrKqfh+Sk3nJxayAt\n0LQV+LE8Hgjz9MUW5ukL2XgnAvcBXfEqcqwFZgKPqep8n2P8qKqty9tXTj3t+jMMwyC+PH1+i1/O\n5OAyUYURkTNFZAqekTcLGB94zQK2ishkEfnd4Z7HMOIREbkImAN0BN4F/oa3JHsSMEtE+voc6jcR\n+X2Q8c8BipcyMAzDMCKC67rVXNeNWlkiv56+TsCrwBN4EbzBAjmKZ8s8dIxLgTeBz4G3gUV4xh94\nHr+2wGXAOcAVqvpOGeOZpyGGME9fSMZaDCwELin8n1tEkoB3gPaq2sbHOCcAL+LtwS1I/dIUWA4M\nVdWFIdDVrj/DMAz8PQdc160BnA7cibdd7m3Hcd6PhH6F8Wv05ZchUmYgh4h8D4wrq1ybiDwOnK+q\nx5UhZw+dGMKMvpCMtQvoq6pfBOn7PTBGVYsXAy15vEZ4xp4Aq1V1fSj0DIytqkp+fj65ublUr149\nVEMbhmHEFWU9B1zXTQMGAGcDHwA/4cVK9HEcZ3FktPTwG8gxKATnOhYY50PuU+C2EJwvYljVCY9g\niYrT0tKCSBolMAc4Hihm9AXa55RnMFXdAJRdjuAw+Oqrr9i5cyd9+oQ1NsQwDCMuCSzlXgl0AB53\nHGdKoH01kB5pfXwZfao6qrR+EfFTY2kJXjRh8arWh3IhnhUcNyR61Qk/lOTpM8rFHcDbIlINGIOX\nnLkhcDFe5O3lIlKzQLisLRVFCQRQZQJtODSIKgeYpKrl2u+Xk5PDggULuOGGG8pzWEyTnZ1NVlZW\ntNUIOTav+MLmlVD0AC4AHnYcZ4rrusl4ttBaYHaklfEVyCEi/yilLwX4yMcwfwVuFpGJInKDiPQU\nkRMDr9MDbROAWwKyhlHZmAk0xyu3tgj4JfD3ITxP+Uy8QIzfgPJEuieJyN+B9cBYvJJu1wZeLvAx\nsF5EHpRy1JX7+OOPueSSS6hVq5bfQ2Ke7OzsaKsQFmxe8YXNKzFwXbcKMAT4wHGcyYHPpwGn4Bl8\n+a7r+g2oDQl+T3a7iNxftDHgOfgcb+mpVFT1I6AXkAc8B2QD3wZekwJteUBWQNYwKhuDyvG6U2Ct\nMQAAIABJREFUvhzjOnhexGFAhqqmqurRgVcqcEygr0DGF7169WLJkiUHPhe+oRe9uZf1uaQ2P30V\nkSvPODYvm5efvorIlWccm1fszysICuzhYG7jy4DzA59HOY6T5zhOPoDrul1d1z0xXIoU4Nfo6wP8\nRUT+VNAgIul4JdmOwotIKRNVnaqqZwN1gBMCx50eeF9HVX+vql+XQ3/DSBhUdVRpL+CNIp/98gfg\nTlV9QlVXBjnvKlV9Ei+q7A9+B+3cuXPC3rxtXqV/Lksnm5c/ufKMY/OK/XkVxXGcPOBZ4C7XdbPx\nClz8DDzhOM72Ai+f67qN8bItvOW67rlhUSaAr+hdABE5G/gQ+FPg7/hA15mhjAr0SyxF7yZ6hKof\nKuuevnAn5QykazkDuAIvsrfcG39FZCfQR1W/LEOuN/CxqtYsTS4gW7n/wxuGYRSijOjdxkBdYLnj\nOHsDbckBo7CwXA+8qN4rHceZGw49fRt9ACLSBy9f2C94mxDPVtUtIVVI5OiAXsU8EkXkzOiLIczo\nC/m43fEMvUuARnjX3DuqenMFxvoSb+vExSUFawTq9X4AJKtq7worbhiGYQTFdd3LgJWO40wLfBYA\nx3G0wAh0Xfdp4N0CmVBTYvSuiARzMe4HRuMt9z4FdCvY962qn4ZIp2V4ecVKzftnGIlGoATbFcDl\nePvs9gLV8bzrz6vq/goOfSswEVghIl/gResWJFivC7TDyx+1FzCDzzAMIzxMwcueABww9qrj3Xub\nu67bCu8Z8Ha4FCjR0+cjIXNhykzO7FshkWsCer1ahpx5+mII8/RV+PgWeBf5FXjG13a8fJYfANPx\nKmpkqerkw9QzDbgRr+JNsJQtnwEvqmqxajuGYRhG6HBd91q8VZxdePfjNUAq3v34Tcdx3grXuUvL\n03dsuE5aGqr6ml/ZYcOGHXiflZVVGfP/GBEmOzs71Jt+fwJ243nQ/wxMVNVcABGpF6qTqOpW4JHA\nyzAMw4ge3+BlVXgPuAnIBfKBfMdxdobzxOXa0xdLmKcvtjBPX4WPX4a3lLsEz7v3garODPTVA7YQ\nAk+fT11SgCPK2k/rY5xJeMvGSXiRatcFjM64JbDXeBRwJN7NeZyq3hNVpUKEiIzASx57lKpGNGdY\nOAnUoH4Nz4OyCBhQ3gTksUoCf2cJeZ0FuycOGzasMfAf4CXHcUYBuK6bVJDCJWy6lLK8Wwf4TVV9\nK1DWMSJSC+iH94X+CIxV1bwiMscCf1XVUku/mdEXW5jRd1hjFARtXIpXgWMNXoT8l3iGYKSMvv7A\n24e7VUNEaqvqr4H3TwH7VPW+UOgYLUSkMd4Ddm6gAtEE4FlV/SDKqh02InIa3v14fYIZEFOBf6jq\n5yLyGLBXVR+Itl6hIIG/s4S8zkq6J7qu2x7vh0kfYE24DT4oPU/fNqCL34FEpErgmI4l9B8JfIdn\nxf8NeB/4XkROLiLaEBjo97yGEe+o6jRVvQ1oApyFlw7pKjyDD+CGINdJuDjsSORCN7ckPC/LpsMd\nM9qo6npVnRt4nwssAJpGV6vQEMifujHaeoQSEWmEl4j880DTy3gOh4QgEb8zSNzrrKR7ouM4C4Ge\njuOsioTBB2XX3u0hIg18jlWWd+ARvMzUbVT1p0Ck4j+BSSJyraq+6/M8hpGQBLzeE4GJIjIUL+ji\nCrw6jVeKyI+q2ra844rIV3iZ4cuioU85P+f8FO9H40/AbaEYM1YQkfrARcCZ0dbFKJGmeEFQBawC\njo6SLkYFSLTrrJR7YkS3HIQqercwXQos9SLjrQTuUtW3C7Ul4RmDfw70PS0i3YBvynJZx9Lybnp6\nOlu3+tuylJaWxpYtJac2fCw9nT0+x4olhnGBLe+G7xy1gAuBy1W1TwWOzwMWAz+UIlYLOAnP8MsH\nJqtqryBjHYdXMrEbnmf/JcANtqWj0PVdV1VvLK/eoUBEWgJ3Ad3xykUe1rxEpDpe6cmxqvp/YVa/\nREI9r4BsfrSXCkM1LxHpgpfmqFvgcwqwQVXrRGQiB/UM+fdU5LiofWfhnFu0rrMIfF9RvyeGI3p3\nTQnt6XgF3w8Q+Ae6R0RWAM+KSFO85M9xRWlGXFHKqme/Z+tWnBgxZsvDMCm3LWL4RFV34kX3jq7g\nEN8Di1T1spIEAonXXw58XEwQj18g7ctEvG0afYCWePk6k/C2bBTVO19EXgPCln7AB8fheUyn4d3v\nKjwvEUkG3gDmRNPgCxCyecUYoZrXag5dFmzGoZ6/SBGS+YjI9cAtgUNuUtWwJO4tJ+GY21BgFtG7\nzsL6fcXEPVFVI/LC+we6u5T+fnipK+YBeT7G03ikLL2Hxe28Loi2ClEh8H1G7DqqyAv4F7CyDBkB\n+uN5+d4D/hdE5j68yiCphdruAnYCtQOf6wGNCvU/AIyM4tyl0PsKzyvQ9hLwSrS/z1DPq9D3n59I\n8wKmAucE3j8O/D2e5xNs7Gh+Z+GaWzSvs3DMKdbuiZF0C38BDA64N4uhqu/jWdjNCcFmcsMwDvAE\ncIuU4mZW7240jtI9/OcAX+ihaS/eBlKAzMDnNOBjEZkvIvOB1sCdh6P84RCYV1mUNq+eACLSAxgE\ndBaReYHXLcWHigwhmFfB94WIvASsBFREVonIv0OqbDkI5bzwvEYPiciPQFs8wy+ihHg+B4iF7ywc\nc4v2dRam7yum7ollBXKEkqeAr4DaeFUHiqGq2YH0FV0jqJdhJDSqugQvD2BZcruB5aXYhm3wljUK\nH7NSRAqyyn+iqsuIv+u3tHm1xcsV9jWlZzuIRcr8vgJtf4iCboeD33ktxNunGuv4mk+R/nj5zso1\ntzi5zso7p5i6J0bM6FPVtcDaou2BfTITgCGq+pOqLsJLpGkYRmyRxsGavYXZysGybvGIzSu+SLR5\nJdp8CpOIc4vrOcWCRS1AFp4H0DAMwzAMwwgDsWD0GYYRH2zFKyVUlLRAX7xi84ovEm1eiTafwiTi\n3OJ6Tr6Xd0WkCXA+XtWAGkX7VfXuEOplGEbskQO0K9wQqJVZM9AXr9i84otEm1eizacwiTi3uJ6T\nL0+fiPTFKxL8PHA9cEmh16WBvxVCVfcDZ+DVETQMI3b5DDhbRFILtV0G7AImRUelkGDzii8SbV6J\nNp/CJOLc4npOfj19D+OlXBmoqv4zEftEVbNDPaZhGP4JVCw4L/CxCVBbRPoHPo8LRPa+iFc+6INA\nAfsWgAM8XSR9Qcxg87J5RZNEm09hEnFuiTinYvhMWPgb8LtoJRMsQSeNR8rSe1jczsuSM8fzC8jA\nS8ycD+QFXgXvmxWSawd8iferdg3gUiihaay9bF42L5uPza0yz6noq8Tau4URkQnAh6o6vEzhCBFL\ntXfLQ6BWa4n9rkhclmET6YPV3jUMwzCM2KXE5V0RqVno4x3AaBHZCYwnSI4aVd0VevUMwzAMwzCM\nUFDanr5ga9OvlCCrQPLhq2MYhmEYhmGEg9KMvkER08IwDMMwDMMIKyUafao6KoJ6GIZhGIZhGGHE\nbyDHz0BfVZ0fpK898JGqHhsG/UrTKS4DOdLT09m6NeaTdhvlwAI5DMMwjHjAb56+DKB6CX01gaND\nok0lYMuW0tMcWvRufCFi9p5hGIYRH5QWvVsXr75cwVPtSBFpVkSsBl4m6jXhUc8wDMMwDMMIBaV5\n+u4AHij0eUwpsn8OjTqGYRiGYRhGOCjN6BsNzA68H4tn2BWtj7sPWKyqK8Kgm2EYhmEYhhEiSove\n/ZGAkSciZwBzVPXXSClmGEboEJGLgAeB1sBa4DlV/b8gcn8BhgL1gVnAbcECuAzDMIz4w1cgh6pm\nA4hIG+Bk4EhgHTBbVXPCpp1hGIeNiPQAPgBeAv4EdAMeE5F8Vf1nIbn7gL/iefVzgDuBiSJygqpu\niLzmhmEYRijxZfSJSB28B0Y/vMCO34BUQEXkA+B6Vd0RNi0NwzgcHgCmqOoNgc8TRaQe8ICIvKCq\nuSJSA7gXeFhVXwAQkenAcuAW4G9R0NswDCPucF33FeA8YKPjOO0DbV2B54GqwH7gJsdxZkVatySf\nci8AZwJXA6mqWgfP6Lsm0D4iPOoZhhECOgATirRNANLwvH4ApwK1gXcKBAL1tD8GzomAjoZhGInC\nSOD3RdoeB/7mOE4nvB/ij0dcK/wbfRcCd6vq6MCDAFXdpapvAHcF+g3DiE1q4AVdFabgc7vA37ZA\nHvBTEbmcQJ9hGIbhA8dxpgBFqzCsw0uDB1CPKKW685uceSfe5u9grMVb7jUMIzZZgrcXtzBdA3/T\nA3/TgN+ClLnZCtQUkSqquj+MOhqGYSQy9wJTXdd9Es/h1j0aSvj19A0H/iwiNQs3ikgtPE+fLe8a\nRuzyItBXRP4gImkicjZeHk6A/CjqZRiGUVl4GbjNcZxmePffV6KhhF9PXx2gFbBSRCYAG4FGePv5\ndgOzROTA+rSq3h1qRQ3DqDCv4O3rGwH8G89zfy/wHLA+ILMVSJXiRa3TgF1FvXwiEn+1Ag3DMMKE\njxrsXR3H+V3g/Xt4wbERx6+n7xIgF28ZtzvQB28D+K94USj9AzKXBv4ahhEjqGq+qt4KNADa4/1g\nmxHonh74mwMkAy2LHN4WWFTCuDiOg6qW+t7P55La/PRVRK6s421eNi+bl83L78snS1zXzQy8P4Pi\nxS4igt88fRlh1sMwjDCjqtuB7QAichPwtXpJ2AG+AXbg/XB7KCBTE7gAb3k4KFlZWWW+9/O5pDY/\nfRWRK884Ni+bl5++isiVZxybV+zPqwDXdd8EMoEGruuuwovWvQEY7rpudbwV0htKGSJ8HI51G82X\np3riMSxO5wUXRFuFqBD4fxj166G0F3AKXsLl3wEXA+8C24ATisjdi7f0exPQGxiHt5XjiCBjhv4f\nMwZwHCfaKoQFm1d8YfOKL+LhOVDw8ru8i4h0EJF3RORnEdknIicF2h8WEcvjZRixSy6eB28MXv6o\nGkAPVf2usJCqPorn5bsPLz9fKnCmqm6KrLrRI9S/+GMFm1d8YfMywoV4RmoZQp5RNxZvCeh/gAN0\nUdW5IuIAp6jquWHVtLhO6kf3eMMVwYnDeYn0QXVstNWIOCKClr2BN+FI1OvPMAyjvMTTc8Cvp+8R\nYJSqZhLY71OIb4FOIdXKMAzDMAzDCCl+U7a0xdsTFIwdHEzwahiGERPs3buX2bNnk5eXR4cOHahb\nt27ZBxmGYSQwfo2+TUALYGKQvuOAlSHTyDAM4zDYs2cPM2bMYObMmbRo0YIaNWqwefNmM/oMw6j0\n+DX63gQeFJHvgWkFjSLSBriHKGWWNgzDKMzWrVv5z3/+Q+vWrRk0aBD169cvVX7Pnj3UqFEjQtoZ\nhmFEF79G3wN4Hr3JHMzg/xHQGPgCeDj0qhmGYZSPevXqMWTIEF9evf379/P888/TsGFDjj/+eNq1\na0fNmjXLPM4wDCNe8RW9e0BYpDderq8GwBZgoqpOCJNuZemSkNGDFr0bX8RT1FYoSZTrLzc3lyVL\nlvD999+zZMkSunbtSlZWFklJvrNZGYZRyYmn50C5jL6QnVSkNtAar64neHU/f1TVX8sxRkI8dIpi\nRl98EU8XeyiJ5vW3ZcsWZsyYQa1atejZs2dQmT8OHMi25cuLtdfLyOCZUaOCHvPbb78xZswYjjnm\nmBLHNQzDKEo8PQfKXN4VkSTgTLys/o0CzRvw9vZNLM+dX0TOxFsq7k7xdDH5IvIN8KCqBgsYMQyj\nkrJv3z4WLVrEt99+y8aNG+nYsSMnnXRSifLbli+n+aRJxdqXlXKO1NRUrrrqKvLy8kKgsWEYRuxR\nqtEXqLrxFl4R9v3AZjxjLT1w7E8icrmqzivrRCJyKV5AyOfAILwi7lsD3Wl4aWEuA74QkStU9Z0K\nzcgwjIRi165dPPfccxx99NGcfPLJtGnThuTk5LCcS0SoUsXvVmfDMIz4osTlXRFpBCwE1gF3A5NU\ndU+grwbQC3gMz/vXXlU3lnoiL/J3nKreXYbc48D5qnpcGXK2vBtD2PJubCMiA/BybbYEtgNfAveq\n6roicn8BhgL1gVnAbao6P8h4Eb3+du7cyf0331zmkm3url0s++or7hw8mC7r1hWTndusGU+OGEHT\nbt1ISffSi/pZClZVRGL+azYMIwrEy3MASvf03QrsBnqq6vbCHQHj7zMRmQbMD8j+rYxzHYtXwL0s\nPgVu8yFnGIYPRORi4HXgeeBPwFHAP4BxItK5wHoTkfuAv+IZhznAncBEETlBVTeEQ7fCBldK/frs\n372b3F27iu29q1WrVolLtj/t2cOsF17gp3HjWDFlCkeedBJVSknDMu2pp1gzaxa1jzqKo7t3Z9U3\n33DiTz8VkytYClZVXnvtNTp27EiHDh0OZ7qGYRhRpTSj7yxgRFGDrzCquk1ERgAXU7bRtwToCxS/\nax/KhUDxO7BhGBXlcmCOqh74MSUiO/DSLrUGFge89/cCD6vqCwGZ6cBy4BbKvr4rxAFDrlcvOPJI\nGDsWVq0qde9dUdbOmcPq1q058ZpruPiNN6hRrx7ZWVmwrPgoac2bc82XX5Kfl8fG775j9bRp7Pn0\n01LHFxF+//vf895777Fs2TLOPfdcqlWrVr6JGoZRaXBd9xXgPGCj4zjtC7XfCtwE5AHjHMe5J9K6\nlWb0tQTm+BhjDl6C5rL4K/CeiJwAvIPnSdgW6KsLtAMuAbKA/j7GMwzDPzuKfC74MVewJHEqUBvv\n2gRAVXeJyMfAOYTJ6AOga1c44QR4+WXYtQuALUuW8OG117Lrl1/YvWULu3/5hZU//0zzIIcffeqp\n9H3ttUPaZq5ezedBcvWlr14NQFJyMo07dKBxhw4c8dZbsLH47pRtK1awY/Vq6jRtSqNGjRg8eDCf\nffYZ//73v+nfvz+NGzc+/LkbhpGIjASeAw7cmFzX7QX0AU50HCfXdd0joqFYaUZfXQ4+GErjV6BO\nWUKq+pGI9MJ7eDwHVC0ikgt8BWSp6tc+zmsYhj/+DXwiIldzMKn6P4AvVTUnINMW79dnUS97Dl6A\nVVhISU+H5s3hlVcOGHwAydWrk9GrFyn165OSnk7N+vV5+vTT+Xnz5mJjVFm8uFhbw6ZNWbR0abH2\nth07FmubmpNDdhDd9q9fz4gTT6TpKafQ6frraX3BBXw1Zgy5u3fzwrp1rJs3j9yAzkWXoyuSMsYw\njMTAcZwprutmFGkeCjziOE5uQGZTpPWC0o0+v5sS1a+sqk4FzhaR6ni1fAvn6Vuqqnt9ntMwEg4R\neQLveiov/1TVNSV1qupEEfkD8DLwaqD5Gw71qKcBvwWJztgK1BSRKqq6vwK6BWX7qlVkP/006S1a\nwOuvw7Zth/TXPfpoOg4ceEjbrtxcgm0sbLRnz4H3e/fuZfPmzfz6a/CUn7t372bbtm3UrVv3QGDG\nb3v2BB+3enX+tHo1P7z/PrOGD2fc0KH8XL06ndesgZo1aVrISC26kFyRlDGGYSQ0rYCerus+DOwB\n/uw4zuxIK1FWboIvRKSsG3258xsEjLsfynucYSQ4d+KVOfT740eAo/HSKpVo9InIecB/gKeBz/A8\nfcOAMSLyO1XNPwydg1KSp6tGvXqck5bG4rFj6ThoEKtmzKDFBn8xIlVq1IDtxRcftuzcScuWLdm0\naRO7d++mQYMGbA8iBzB//nyaNWvGrl27SEtLo379+mzZubPE81WtWZMOV19Nh6uvZsuSJUzt3dvr\nLGTwAWxdtoyvH3+c6nXrUr1OHXb98ouvORmGUWmoAqQ5jtPNdd2T8bbSHBsNJUriwXKME7LcDSJy\nNF4qmZWhGtMw4oi+qjrDj6CIVAH2+RB9FHhPVe8rdOy3eEu3FwJj8Dx6qVI8F0sasCuYl2/YsGEH\n3mdlZZGVlXXgc0merslVqnCl43DrkiWkpKXxx5YtGV/C3jtVZenSpUyePJnJkyezuYg3sIDjTziB\nt99+m4YNGx7w4GVlZTEpyPm7detGdnY2ubm5bNmyhV9++YUBAwbw7bffFpPdnZvLU089RWZmJh07\ndiS9ZUu+37uXYvlrgPxffmHnxo0sWr+effv2sWtT8JWbREwzZRiVjezsbLKzs8t72GrgAwDHcWa5\nrpvvum59x3Ei+guxRKNPVYdFUI/CLMPzYIQn+6phxC6vAeXZ55EXOKasm8axHFzWBUBVfxSR3Rz8\npZmDd8215NB9fW3xEqkXo7DR55cm3brR869/PfC5pL13+dWq0aRJE0SEzMxMevbsyffff8/s2cVX\nQ+rWrUvr1q3LpUfVqlVp1KgRjRo1om4QoxOgUaNG/Pzzz7zyyiusXr2aHj16sGHbNn4LJlulCmc9\n+SRbt25l8uTJnFS3LkydCtOnw76Ddvm6uXNZOHo0x11yCclVi25rNgwjHij6I9d1XT+HfQicAUxy\nXbc1UC3SBh9UYGk2AgzC/35Cw0gYVHVgOeUV8HPMcuCQmmUi0g5ICfSBt8dvB3Ap8FBApiZwAfBi\nefQqjSSflTTS09P59NNPad68+YG9d2+99Zbv82RkZJSrPRgNGzZk+PDhAGzatInJkyeT/eWXpR6T\nlpbGhRdeyMcvvsjRDRrAbbfB5MkwcyYA9Y45hrn/+Q8T7r6brrfcQucbbuC+P/3Jgj4MI4FwXfdN\nIBOo77ruKrzys68Ar7iuuxBvheaaaOgWc0afqr5WtpRHactLhhEOKujWjzbDgedEZC1eGcRGeDeh\nZXjJ0FHVPSLyKPA3EdkKLMZL5AxetH252Fk0BUqVKtC/P1W2epUXVZWvvvqKhQsXBj2+cePGHHvs\nodtdymPIjSqHseRn3COOOIJ+/fpxe1oaa4LsQcwF8vLyDpSHS23UiGXLl1N1925qtWvHtpQUAI7K\nyODaUaNYN28eM555hmdbtGBpSkrQ6iEW9GEY8YnjOFeU0HV1RBUJQswYfSJyFLBZVf3sUQIqtrxk\nGIdDBd365UZEHEreK5uP55Wbr6plJTtHVV8IBGTdBAzBS8U0BbhPVXcXkntURJKA+zhYhu1MVS1X\naoHFY8cyNSeHWQVzSUrijP79yc3NZercufz73//m2WefRVW9QIotW3yNWx5DrjyUZ9yWbdsGNfr2\n5eXRunVrbr75ZgYNGsQ2Ai7UXbugkBcvI/D3yE6duOjVV/l13Tq+6dbN9/ktFYxhGIdDTBh9IlIX\nb5NjFjA5utoYRkxwK1ADqBn4/BuQGni/C2//XXURmQ/8vqwyaar6b7x8faWiqg8DD1dU6aXjxzP2\nD3+AtDRWBIy5Puefz74qVXjz3XfJz8/nk08+4ZlnnqF379706tWLn4KUQIs3OnfuzGOPPcazzz7L\n3//+d1JSUlgXxHtXlNpHHkla8+awsnjc2urp0/nv2WeT3ro19QOvTYsW0TqwVFwY8woahuGHiBl9\nZeQgKyiUOVREzgdQ1bsjophhxCbnAv8F7gc+Diy/1sDL6P4PvL2v4KVreRoYEBUtC7Fi8mQ+uOoq\nLhszhnH338/6SZM444wzaNSoEa+++ip5eXl07dqVsWPHHjgmFHvvIklp+p5yyim88cYbrFu3ju7d\nux/2uRp16MApf/wjv/z4I5tzcvhx7Fg2fPst5QtZMQzDOEgkPX134i1JbcUL1ChsACYF/mbh5ShT\nwIw+ozLzPPCYqr5b0KCqe4B3RKQ28KyqniQifycQeBFNVs+YwTv9+9P/rbdo1qMH+/fvJzU1lQ4d\nOvCvf/2LfYEI1pTA3rYCwrVkGy786HvkkUeSkZHBihUrgvbv2rWL/Px8UlNTg/YXUDUlhVbnnEOr\nc8450PZlVhYESUWTWyRvoGEY4WXgwIEsD7LVItaJpNH3TzzvxGt4D7MDdykRqQdsAS73s0fJMCoB\n7YGS1gfXA8cF3i/Gq5kbNdbNm8dbffpw0ahRND/jDD799FNmzZrFvn37eP7558nNzY2mejHF999/\nT3Z2NqtXr+baa6+levXq1MvICLo8W68c3s518+bx7iWX0OPeezmqc+eQ6WsYRnCWL18eNBdorBMx\no09V7xCR/+BFAg4SkXtV9Y2iYpHSxzBinJ+AP4rIl4XLEwaWeP+IZ+yBV13DX0mLMLDphx8Yfe65\nnDdiBA26d2fgwIFMmjSJtm3bsmDBAjP4ipCamso111zDkCFDGD16NNdcc01IAjCadutG01NP5a0L\nL+SI447jtPvu45lRo9gexNtoQR+GUXmJaCCHqv4A9BaR/sBTInIzcDvwYyT1MIw44Da8dCqrRGQC\nXtLmhsCZeMEd5wXkOgHvR0PBX376idfPOoszn3ySJVWrcmb79lx00UUsXLiQW265hbS0tGLHxOpe\nvVBT2t6/xx57DNd1mTx5MmvXriUnJ4dVq1YFlS26nFySVzA9I4Pud9xB15tvZsF//8u4G28kZ906\nTg1Sg9iCPgyj8iLRKgskIil4qSHuxKsHejGQpaq+oneLV4tKDFwRnDicl0gfVMeWLZhgiAiqGpZk\n4iLSBM+rdzJebr31eGlUnlHVteE4Zzl003pAUo0a7K9ShQYNG/Lyyy9brsxysHDhQl5//XXmzp3L\nl0GSPmdmZlY4J2R+Xh6XnXgiJ/xQvMT5ssxMRsVfrknDiCkyMzOZPPmguRKu50CoiVrKlkB+sAdE\nZCRebdD5QPDK54ZRCVHVNcBd0dajJLYB7NlDSrVqLFiwgFq1akVbpbiiffv2PPDAAwwaNKhs4XKS\nlJxMrSOOCNqXiD+WDSPSrFmzJtoqVIikskXCzgq8ZavLVHVOtJUxjFhCRI4TkatF5C8i0jjQ1kpE\n6kRbtwLqpKQcMPh+++03PvzwQzMsfJKamsrGotVLwsy6uXNZ8sUX9h0ZRgVZsWIFq1at4uSTTyYz\nMzPa6pSLWEjOnIRXo670/AWGUYkQkVRgJNAPr8pXFbwSauvxUrSsBP4cNQVLYNq0aVSrVu1AvVyj\n4ixcuJBvv/2Wjh07hnTcukcfzee3306thg054x//4JiePa3Sh2H4RFW56aabeOCBB7gyfGZEAAAg\nAElEQVT//vvJzc2lWrVq0VbLN7Fg9BmGUZynge5Ab+BrYE+hvk/xln19GX0ikg30LKG7u6rOCMj9\nBRjKwRJst6nqfL8K7969m3nz5jFkyBC/hxilkJaWxjnnnMNpp52G67ocd9xxZR9UiJKCPppkZHDT\nSy+x4I03+HDgQOq3asWGTZtoO29eMVkL+jCMQ3nnnXdYuXIlY8aMQVUZPnx4tFUqF2b0GUZscjHw\nR1X9SkSKXqcrgWPKMdZQDs3lJ8CDQEc84w4RuQ/4K54hmYMXYDVRRE4oq8RbATNmzKBNmzbUrVu3\nHKoZRSN9q1atSps2bdizZw///Oc/GT58OFlZWZx99tns3LkzaK3iYJG+ZXnoOl57Le2vuIJ5I0cy\n8rbbaHuY8zCMRGfLli388Y9/5IMPPqBatWps2bKF/Pz8aKtVLqJu9KnqfhE5A0vbAkCNtDTcuFwa\nuyDaCiQaKcDmEvpqA3l+B1LVRYU/i0g1vIjgN1U1P5D7717gYVV9ISAzHVgO3AL8Ldi4jQLGXXqD\nBuzdu5dZs2aFJSgh0SlqrOXn5zNjxgymTp3KDz/8wF133cWNN97IM888w9///nf2798fsnMnV6tG\nlyFDaPrGGzBlSsjGNYxE5O6776Zfv34HyiwuW7Ys7tJQRd3oA1DV7GjrECvcE+RXfDwwTPpEW4VE\nYzZwLd4+vqL0A745jLF/D9QD3gx8PhXPkHynQEBVd4nIx8A5lGD0rd+27cD75cuX07ZtW+rXr38Y\nahkASUlJdO/enVatWvHRRx+xaNEi+vTpwwMPPMAXX3zBN98czlcfHEmKhZg+w4hdsrOz+eKLL/j+\n++8PtC1fvpzmzZsXk3Vd9xW8XKobHcdpX6TvTuAJoIHjOBF/4MeE0WcYRjH+ire8+iVQUH/3XBH5\nE9Cfkvfo+eFyYJWqTg18bovnOfypiFwOcJmfATMyMuLuF2+s06BBA6677jqmTZvGSy+9xM0330zV\nqlWDys6bN48nnniC888/n7Zt2yIiJdYGDbYUXBK5u3cfxgwMIzHYs2cPQ4YM4fnnn6dOHS9xgqqy\nfPlyzjjjjGCHjMSrPvZa4UbXdY/GS7AfvDB3BDCjzzBiEFWdEtj28CjezQPABaYDvVV1ZkXGFZGa\nQB9gRKHmNOC3INnOtwI1RaSKqoZuTdHwTVJSEj169KBTp06kpKSUKNesWTN+/vlnzjrrLKpXr875\n55/PvHnzWLBgga/zFA36UFV+XbOGHfPns3TCBFqceeZhzsQw4peHHnqI9u3bc+GFFx5oU1V+97vf\nUa9evWLyjuNMcV03I8hQTwN3Ax+FSdUyMZ++YcQoqvq1qp4O1AWOBuqoag9V/fowhr0Ar4zbm2UJ\nGrFDzZo1S+2vX78+I0aMYOXKlbz//vs0aNCAZcv8x95uw9vAWfBaIcKWpk2pl5XFh9dcwzdPPml5\n/YxKyXfffceLL77Is88+e0h7UlISHTp08J2eynXdC4HVjuP4+yUWJszTZxgxjqruAnaFaLjLgZ9U\ndW6htq1AqhSvbZgG7DIvX+xQWk1f8MoCdujQgQ4dOjBx4kQmTZpUTHbmzJlceeWVdO7cmZNOOolO\nnTqxfPnyoLKZmZn8YcYM3u7bl3Vz59LnpZeoWoYBahiJQn5+PoMHD+Yf//gHRx11VIXHcV23JvAX\nvKXdAqISsWlGn2HECIGShH7cKQKoqpYrVFZE6uIFZjxapCsHSAZacui+vrbAIkpg2LBhB95nZWVZ\n3d0IUHgv3vLly5k+fTr9+vUrca9fMI477jjOPvts5syZw5gxY5g/fz65ubklytdt1ozrpk7lkxtu\noE/TptRv3ZoqNWocImNJnI1EZMSIESQnJzN48OBD2rOzs8tbF7sFkAHMd10XoCkwx3Xdro7jRLQk\njxl9hhE7tOdQo68ZcASwMfBqFPi8mYptBO4LVKP40u43wA7gUrxqHwV7/y4AXixpsH79+rF69WrO\nOeecCqhiHC5HH300c+bMYfTo0Vx++eVUr17d13Gpqalce+21XHvttQDk5eXRvXt3Zs2aVeIxVVNS\nuOi113i9VStazZhRrN+SOBuJQOHgp7179zJ79mw6duzIoEGDDvnBVfRHbsCQKxHHcRbi3b8L5JcB\nnS161zAqMarapeC9iPQB/g/oq6rfFGrvAbwK/L0Cp7gc+FZVFxc57x4ReRT4m4hsBRYDfwp0P0cJ\nTJkyhbPOOqsCahihIDk5mb59+zJu3Dhef/11BgwYcEiwR1lLwYXHKWnP4A8//MDChQtp3749IkKd\npk1h6dJQTcEwYopg2xxmz559oLa4X1zXfROvvGx913VXAQ84jjOykEjUNsia0WcYscmjwN8KG3zg\nBXeIyAPAY8BYv4OJSAPgDLxUMMVQ1UdFJAm4j4Nl2M5U1U0ljVmlShVatGjhVwUjDCQlJXH++ecz\nYcIERo0axdVXX01qqlfG3G9altJITU3lrLPOokuXLtx7771MzckhO4hclZycwz6XYcQLY8eOpUOH\nDhxzTPDCSI7jXFHa8Y7jHBsWxXxgRp9hxCbNKTl4Y1eg3zequhlvabc0mYeBh/2Oefrpp/uOXDPC\nh4hw5plnUrNmTXbs2HHA6CsPpXkFR4wYwahRo7jqqqtYvXkzwaJ6Gu3ZE6TVMBIPVSUnJ4devXpF\nW5UKYUafYcQmcwFHRGaq6tqCRhFpAgwD5kRLsQLatrVqrbGCiHDaaadV+PiyvIJDhw5l8ODB1K9T\nhx1BEjbvN6PPqCRs2LCBmjVrUrt27bKFYxDL02cYsckQoCGwXES+EZEPRWQa3p75hsCNUdUOzMtX\nyahSpQq1A9UIipKXm8u0//u/CGtkGKHFTy7KeKy3Wxjz9BlGDKKq34lIS+A6oCvQGC+1yuvASFW1\n+lhGxGnZti1rNmwo1n78yScz87nnSEpO5pTbbouCZoZx+KSkpFCjRg26du16yI/awkbe8uXLad++\nfZCj4wMz+oz/Z++8w6Osssf/OSkQQgmEXpNASBBCLyKgBAQUwYIL6FdRsaxiWdG1+1OH2VUXXV3Z\nXQVUVFDsimtHFA0qIL0oEEILnVASIRASksz5/fFOYpKZkDYtyf08z/tk3nvPe+6ZJO/Mee+95xxD\ngOJ07GY6D4OhwmzYsIEGDRp4PeDmSEYGN3z/PXMTE5HgYAbceadXxzMYvEFQUBD/+c9/XPLyFaCq\n7N+/n0svvdTHlnkO4/QZDAZDDaVx48Z88MEHjB07lnPOOafK+twta2VlZfHbb7/xv6QkbvjhB+Yl\nJhIUHEy/KX7fgWAwlJsNGzawfv16Pvnkk1JlRISpU6dWKBl6oGGcPoMhQBCRdGBEiRJpZ5MPBo4A\niarq13qOhsAkKiqKSZMm8e6773Lq1Cn69etX9kVnobSAj61btzJ8+HCCp0/n+u+/Z96wYUhQEH1v\nvbVK4xnKJi0tjaCgIJo2bUpQkNmmX1meeeYZ7r333jKTnFdnhw9AqmsRbdcyoQZ/InIZquVOG1dj\nEBFU1SMRDSLiAK4ByuvAhQDrgX7ldRQ9hbn/qhfp6enMnz+fHj16MHToUK8E4WzZsoULL7yQ5557\njosHDOCqHj1o1L49DVu3LiZnSrZ5lp9//pm1a9eSmZlJ8+bNadmyJa1ataJr167VNsLU1+zcuZMB\nAwawc+dOGpUSrHQ2PPk94G3MTJ/BEFi8428DDDWPyMhIbrrpJj755BMyMzMr9cVWFueccw7ffvst\nI0aMIHjGDFokJBC3ahWkpBSTMyXbPMuQIUMYMmQIOTk5HD58mEOHDpGWlkZWVpZx+srJc889x5Qp\nU7xyXwQaZqbP4BHMTJ9HdCVW8tLVqnrSEzaUF3P/GUrj119/ZdSoUcRHRjJs82aX/l1DhzK3YsXq\nDQavcejQIbp27UpycjItWrSolI7qNNNnnD6DRzBOX+3C3H+Gs7Fhwwb69O5NpColq5aGtGzJ9kOH\n/GJXbebMmTNs3Lixyvs6axqPPPIImZmZvPjii2eVS09Pp379+m73/FWn7wGz69NgqAWISIiIPCwi\n20QkW0T2isi/3Mg96uzLEpElItLTH/Yaqjc9e/akcXg4R4HdJY6TpnpHlcjLy2PXroovkgcHB7N8\n+XJ27tzpBauqJ8ePH+fVV1/l/vvvL1P2iy++IDU11ftGeRnj9BkMtYO5wF+AZ4GRwMOUqO0rIo8A\njwH/AMYCJ4HvRKSlTy01+JR169Zx7Ngxj+sNDTFbxr3Bpk2bWLp0aYWvCw4OZtiwYXz//fflqjxR\nG5g9ezajR48us8JGXl4e+/fvJyoqyjeGeRFzVxoMNRwRuRiYCPRQ1eRSZMKwHMGnVXWms+0XIBW4\nC3jcN9Ya/MHcuXO5+uqradu2rcd0hoSFwfHjLu3G4ag8qsqKFSsYNmxYpa7v1q0bS5cuJTk52SN5\nG6sz2dnZzJgxg0WLFpUpu3//fpo1a0ZYWFi5dNvt9teBMcBhm83W3dn2T6yH6TPADuBGm83meoN4\nGTPTZzDUfG4CFpfm8DkZBDQEPihoUNUs4HNgtHfNM/iT3r17M3bsWN555x22b9/uMb2xXbq4ba+f\nlUWGWWKsFHv37iUnJ4fY2NhKXS8iDB8+nO+//x6Hw+Fh66oX8+bNo1+/fuUqqVaJertvABeXaFsE\ndLPZbD2BFOCRiij0FMbpMxhqPgOAbSLyoogcF5FTIvKxiBRNoNYFyAe2lbg22dlnqMHEx8dz1VVX\n8cknn3Dw4EGvjtU4KoqPrr6a/DNnvDpOTWTFihUudWErSmxsLPXr12f37t0etKx6kZeXx7PPPsvD\nDz9cLvndu3dXyOmz2Ww/ARkl2r612WwFnvYKoF25FXoQ4/QZDAGKiPQUkQ9EZKeInBGRPs72p0Wk\nIrNvrYHJQA/gKuBGoC9QtN5QE+Ckm5DcDCBcRMxWkBpOhw4dGDlyJIsXL/aIvujoaIYOHVp49O3b\nl5CQEDr17k2DVq1Y/OijHhmntnD8+HF27dpFr169qqRHRJg0aRIxMTEesqz68dFHH9GmTRsGDx5c\nLvnIyEg6dOjgSRNuAr7ypMLyYj7IDYYAxOnUfQYsA+YBtiLdOVhBGV+XV53z5+WqmuHUfxBYIiKJ\nqprkEaMN1Z6ePXsSHx/vEV3uSrbZ7XZWrlzJZfPm8UqfPsQMH07nSy7xyHg1nXr16nH11VeXWSas\nPITU4iAbVWX69Ok8/fTT5b7m0ksv9dj4drv9/wFnbDabXxLx196/vMEQ2PwDmKuqf3bOshV1+tYD\nFalmnw7sKHD4nCzF2lDcDUjCmtFrIK4J+JoAWaqaV1LptGnTCl8nJiaSmJhYAZMMgYiIUK9ePa/p\nf/TRRxkwYAAffP45V86fz4cTJ3Lb2rU0bNPGa2PWFOrUqePp2aZayTfffIPD4WD06MpvVU5KSiKp\nEgnG7Xb7ZOAS4MJKD15FjNNnMAQmXYDSkkedACIroGsL4C7sTIACBy8ZCAZiKb6vr4vzeheKOn0G\nQ3kIDQ1l7ty5jBgxgnXr1tH/jjtYMGkS1337LUHBwf42z1ALmD59Og8//HCV9kWWfMi12+1lXmO3\n2y8GHgCG2mw2vyWrNBU5DB7BVOTwuN69wJOq+rJzpu8M0E9V14rIncA9qtq5nLruA+xAlKoec7Yl\nAt8DQ1R1mTNlyyHgn6r6lFMmHCtly2xVfaKETnP/GSrN3//+d5YuXcqXX3zBWyNG0HHECC547DF/\nm1VrUdUqOUGBzOTJkwuTKh8/fpwtW7Zw7rnnEhMT43YLQmUo+T1gt9vfBYYCzYA0rJWaR4A6WCsv\nAMttNtsdHjGgIrZW1w9u86UTWBinz+N6nwVuAP4ELAdygX7AKeBb4HVVnVZOXQ2B34D9wNNAI+AZ\nYLOqXlRE7mGsfHwPAFuBvwL9gW6qeqSETnP/1QIcDgc5OTkeX/LNzc1l4MCB3HHHHUy4+GJe6duX\nCR9+SNT553t0HEPZbNy4kbS0NEaOHOlvU7xCYmIiS5YscWkfOnRopZZo3VGdyrD5ZXnX+SUUh7Vf\nCKz9RCmqmukPewyGAOQJoCvwI9YMHMCnQCvgGyznrVyoaqaIDAf+A7yHNWv4P+DeEnLTRSQI64m0\nKbAKGFnS4TPUHtatW0dycjLXXHONR2eCCpZ5hw8fzsiRI9nUrRsLR4ygdb9+BIeGFso1jo5mhodm\nY6orqamptG/fnmAvLX937NiRhQsXMmDAACIiIrwyRnVl48aNNGnShPbt2/vbFI/h05QtIjJSRAry\n16zCSla4yPk6Q0R+FJERvrTJYAhEVDVbVcdilUybB7wGvAOMUdWxqlqhJGequkNVx6hqA1WNVNWb\nVNUlG7yqPq2q7VU1XFWHquoGj7whQ7WkV69eZGZm8uuvv3pcd/fu3bnnnnu45ZZbcOTlcf6ZM8Qu\nW0bMkiWFx+81oNZpVUhPT+fDDz/0aiLlBg0a0LdvX7ezYbWdVatWkZfnEsNWrfGZ0yciE4GFWJvQ\nbwLOxZrti3O+vtHZ941T1mCo9ajqYlV9RFX/rKoPqWrZNYMMBg8RHBzMZZddxqJFizh16pTH9T/0\n0EOkp6ez7dChsoVrIStXrqR3796EFpn99AaDBw9m69atHD161KvjVCdycnJIS0ujXTu/5FD2Gr6c\n6bMBzztnG95U1VWqut15rFLVt5wzG88D03xol8EQcIhIVxE5r8h5uIj8Q0T+JyJ3+9M2Q+2iTZs2\n9OjRg4ULF3pcd0hICHPnzmXtrl387nHt1ZucnBw2btxI//79vT5WWFgY5513Hj/88IPXx6ou7Nmz\nhzZt2njd4fY1vtzT1xH4shxyXwHmS81Q25mJlUtvufP8WazZ8J+BZ0QkTFWf9ZdxhtrFsGHDmDVr\nFqmpqRWtQVomCQkJ1K9Th1m5ubQq0ReSfLZy0TWb9evXExMT47N9dueeey5JSUk4HA6CgmpOsa6o\nqCjq169Px44diYz8I9NVWf/H3vhfDwR86fRtB8YBZW0cuBzX+p8GQ22jG9asNyJSB7gOuFdVXxGR\ne4DbsBxBg8HrhIaGMnnyZBo2bOgV/SHBweQAJavBtsz2Wzozv6KqrFy5kssvv9xnY4aGhtbICN47\n7riDpUuXsn79+go5s6mpqYwaNcqLlvkHXzp9jwEfiUgC8AFWMtiCGf0I4BxgApAIjPehXQZDIFIf\nKAi0GAg0AD52nq8Dov1gk6EW06hRI6/pDq1XD06ccGkPCXOXU7x2MHr06BoVNeovZs2axW233Vbh\n2cuRI0fStm1bL1nlP3w2h6uqnwLDgHzgv1iln9Y7jyXOtnwg0SlrMNRmUoGCPX1XAOsKEitjJfw0\n6Y0MNYbYLl3ctneopU6PiBAbG1tjEyb7ivT0dD799FNuvPHGCl8bHR1dI2sU+/QdqerPwEUiUhfo\nRPE8fTtUNceX9hgMAczzwCwRmQD0xtrPV8BQYKNfrDIYfEjGzp3+NsFQjXnzzTcZM2YMzZo187cp\nAYNf3Finc7fZH2MbDNUBVX1NRLYBA4CHVHVxke4M4AX/WGYwWOTm5no9sjH31ClSk5KILlLn1OAb\njh8/Xq2TNasqs2fPZs6cOf42JaAIuBAdEWkvIh38bYfB4G9U9UdVfa6Ew4eq2lS1PJHwBoNXcDgc\nzJw502O5+6Kjoxk6dGjh0a5dO5o3b063AQP49oEHUC8mJza4kp2dzezZs8nKyvK3KZUmKSmJ0NBQ\nBg8e7G9TAoqAc/qAXc7DYKj1iEg7ERkuIpeUPCqgY7KIONwct5aQe1RE9opIlogsEZGenn9HhppA\nUFAQ0dHRrFu3ziP65s6dS1JSUuGxdetWGjZsyK0PPgjApg8/9Mg4gU56ejqnT5/2txmEhYXRpUsX\n1qxZ429TKs3s2bOZMmVKhfdF1vSa4oHo9N3kPAyGWouINBSRhcAe4DvgCzdHRRmGFQlccHxSZLxH\nsCLs/wGMBU4C34lIyyq8DUMNZsCAAaxevdorJcLCw8N55ZVXuOPOOxk4bRqLH3mEvJyav+V74cKF\nbNsWGBnLzj33XFatWkV+fr6/TakwaWlpLFq0iEmTJlX42u+++45Vq1Z5warAIOBCU1T1zfLKTps2\nrfB1YmIiiWbfh8HLFMxE+IB/AB2A84GfsHJc/g5cCwwHrqmEzlWq6rJeIyJhwMPA06o609n2C1YE\n8V3A45UYy1DDad26NQ0bNiQlJYUupUTfVoULL7yQ4cOHM2fRIs7t2pXVs2Yx8J57PD5OoHDy5En2\n7t3L+PGBkbGsVatWREZGkpycTLdu3fxtToV47bXXGD9+fKX2JKamptbIfIUFSHWdyhQRra6210RE\nLkP1M3+b4XNEBFX1eF4FEdmJ5Wy9D5wBzlXVVc6+fwHtVXVCOXVNBl4HGqqqyyYsERmONZvYRVVT\nirS/BvRU1X5urjH3n4GNGzeyfv16rr/+eq/oP3bsGAkJCbz23HNsuvde/pKSQljjxl4Zy98sX76c\nw4cP+zQhc1ls2bKF5cuXc9NN1WfxLT8/n06dOvHxxx/Tt2/fCl2bk5PD888/z4MPPlihdC0lvwfs\ndvvrwBjgsM1m6+5si8T6PI/CeqCeaLPZfF590GfLuyLSR0QGl2gb7dw7dFREjojIopIyBkMtpSWw\nR1XzgFNAZJG+r4DKpIrfISK5IpJcYj9fF6wcmSXXlZKdfQaDW7p27UpERITXlgCbNm3KjBkzePAf\n/6DjmDH8PH26V8YJBDZs2ECPHj38bUYx4uPjOeecc7yyhO8tvvnmG1q0aFFhhw9g7969tGnTxhP5\n+d4ALi7R9jDwrc1miwMWO899ji/39M3CqrYBgIjchFWLNw+YAfwHqAMsEZErfGiXwRCI7IXCUqTb\ngUuL9A0AKlKf6gDWfr1JWPv1fgFmO8u5gZUv86SbqbsMIFxEAm4biCEwCAkJ4fLLLyc4ONhrY0yc\nOJGYmBjWNWvG2ldf5fiePV4by18cOnSI06dPB1yt16CgIM4777xqVYt31qxZTJkypVLXpqamEhUV\nVWUbbDbbT1ifn0W5DJjnfD0PK+m+z/HlX/IcYHWR80eBmap6oao+qap/V9VEYA5g96FdBkMg8h1w\nofP1v4A7RGSZiCQBTwLl3vuqqotU9WlV/U5Vv1HVyVilEP+fmJT/hgBHRJg5cyYvz51L84kT+eHx\nmrfFNCQkhIsuushU4Kgiu3fvZtmyZVx11VWVuj49Pd2bjndLm82W5nydhrWa43N86fQ5gKIzCVGA\nuzj8jzFLSgbDg1izc6jqW8CfsPaBpAN3Ag9VUf/HQFOs+zADaODGAWwCZDmXmA0Gv9G+fXumTZvG\nq+vXk7JwIYfWr/e3SR6lWbNmdO3a1d9mVHvmzJnDpEmTqF+/fqWunzhxok9mW202m1LcH/IZvly2\n+RlreWmR83wz0B+r7m5R+gH7fWiXwRBwOKNss4qcf0KRFCueGKLIz2QgGIil+L6+LsCW0hSY6HmD\nL7n99tt5++23+ahePX4YNoyWPYunkWwcHc2MuXP9Y5zB7+Tm5jJnzhwWL15ctvBZKM9sayWzOKTZ\n7fZWNpvtkN1ubw0croR5VcaXTt8jwDIRmQ/8F2sT45siEgn8AAjWctY9+GmDo8EQiIhIMFC3ZLu7\n9CsVYDxwVFV3i0gacAKYCDzlHDMcax/h7NIUFHX6DAawEtt6a4kyKCiIOXPm0KdnT+7IyyNiSfH5\nApPR37uoKqdOnaJBgwb+NsUtn376KXFxcT6ZMS35kGu3l2tH2mfADcAzzp//84ZtZeHTlC0i0gvr\nS2RAKSIZwN9U9d/l0GVSRgQQJmWLx/VGAE8DVwItsB6KiqKqWq7d8yLyEbAc2IT1oHcVVr6/v6jq\nS06Zh7FSxDwAbAX+ijUT301Vj7jRae4/QzG2b9/O+vXrvZ5nLrJBA06fOuWyISqkZUu2Hzrk1bFr\nM9u2bWPJkiXccsst/jbFLSNGjOCWW27h6quv9vnYblK2vAsMBZph7d97AvgUay91B/yYssWnUXmq\nuh4YKCJdgXOxohMFa5/SFmC5qp7xpU0GQ4AyGyvSdg7WvVGV+2Ir8GegPdb9tgm4TlXfLhBQ1eki\nEoQ1I98UWAWMdOfwGQzu6NChAwsWLOD48eOVSopbXkKDg8kAdpdob5ldkYD2wMDhcFSbyNhOnTrx\n1VdfsW/fPtq1a+dvc4qRkpLCr7/+yrhx4/xtCgA2m+3/Suka4VND3OD35MzOpavvgFtVtdz1Z8xM\nQ2BhZvo8rjcdeEhVX/W0bk9g7j+DO77++mvq1q3L8OHDvTZGq8aNSTt+3KW9ZUQEh373+cRJlZg3\nbx7Dhg2jQ4cO/jalXCxfvpyDBw9y5ZVX+tuUYtx3332EhoYyvZJ5HI8fP86ZM2do3rx5pa735PeA\n3W7/b5FTpfgqj9pstruroj8QHjEEaxq0ob8NMRgCiCysXH0GQ7Whf//+rF27lrw83wd8V7eHkIyM\nDA4fPkzbtm39bUq56d27N9u2bSMzM9PfphRy+vRp3nzzTW699dayhUth3bp1rA+ciPA1zqMu0AdI\nwQqw64WVy7hKBILTZzAYXHkeKzefuUcN1YZmzZrRsmVLNm/e7LUxQsLC3LbnZWWR7WYGMFDZuHEj\n3bp182pia08TFhZGQkICq1evLlvYi0yePLkwmKJ3797k5+dz0003MXny5Erp2717d8AkxrbZbHNt\nNttcoCcwzGaz/ddms/0Hq+Z676rqN5n2DYYAQUT+yR+pVATrpt8qIj8ALutWqvqgD81zITHxTwBE\nR7dg7txZxfomT76d1FTXjAQlZcsrV91kvTV+dWDgwIEcPXrUa/pju3Rhf1qaS3ubFi2YN2wYkxYu\npH6LFl4b3xOoKhs2bOBPf/qTv02pMAMHDuTgwYN+tSE1NZUlJaK3S56Xl7y8PPbv3x+IS+yNgUbA\nMed5Q2dblfC706eqec6C7yllChsMNZsJFE/YqUAoMLKEnDj7/Or0LVmS63zl6g83xZMAACAASURB\nVLCkph4u0l+Uw5WSq26y3hq/OjiznTt3pnPnzl6zdd++g0RENC08dzgcZGb+zlGHEDd2LG+cfz6T\nFi2icVSU35300mTj49vSo0c8bdq08aoN3tDZtGlT7rvvMb/+HyYnu3cX3LWXpXP//v00a9aMunXr\n0jW2O+lHXTNhRTYLZ/P2X8ul14NMB9ba7faClHZDgWlVVep3pw9AVZP8bYPB4G9UNdrfNlSGlStT\nSEi4i5CQYEJCggkNDWbz5p1YwcLF+e23PVx11bMEBwcREhJMcvI+3FUj2rHjEA8/PI/g4KBC2d27\nD2MVCSnO/v3HePnlhQQFSaF8WtrvgGtW/qNHT/Dll6sICgoqlM/IOImbNIicOHGaNWu2ExQkhfKn\nTmVj5bEuTnb2GfbsOYKIlU8uJ8edEwd5efkcP34KESEoSBAR8vPdF7NXVZe8dzXVma2IbLt2CezY\nUVI2nWPHVtN84kT6NW1qOX7ffBOw76tFi5MMGDDA63/bQPh7eUM2I919wI679rJ0Fl3aTT+aRdrx\nbm5kN1VAr2ew2Wxv2O32hViZThR42GazVXmKNSCcPoPBUH1JSIji9dcfIDc3j7w8B3l5+dx++69s\n2OAq27JlBFdeeR55efnk5ztYseJz3KzUERoaTEREOPn5DvLzHYXy7jh1Kps1a7bjcGihfHp6Ju6c\nvoMHM5g582scDkvO4VB27z4CuKag2LZtP7fe+hIOhyXncCg7duwFol1k16/fxZAhD+FwWI7akSM7\ngE4ucr/8spX27W9C1XLqHA4H2dlbgDgX2R9/3ERQ0OWF51aEYDIQ71Y2PHw8IlJ4ZGVtBjq7yP78\n8xaaNbu2UKeIkJGxBasgS3GWLUumbdvJhc7JkSPJpb6vmJhbCnUCHDiwFejoIrtiRQpxcVOKye7Z\nkwLEuMiuXJlC1653FmtLTd2G698gEpHm9OkziE6dJpCnF/Bsj79wxLEHd1U9l/78G716TaXA59q2\nbTtWRcLirF69nb597y3WtnWre9lVq7bRrdudqFqzj6qlv6/PPlvJ2rUhiMwp/D3s3etedu3aHSQm\nPkpoaDChoSGEhgazadMeoLWL7PbtB3nggTcKZc/2oDRz5leI/PE/cOBAOu7iKQ8cSGfWrK8K/7cd\nDmXfvqOAa1qe3bsP8+ST7zvvF+u+2bUrDYh0a+vUqa8Wub8cbN26HystaXG2bNnHddf9q9CG3Fz3\nQTtncpVx454ufGBShV9/3Q20cZHduDGViy+20awZnD4Nzz33M+kn3e+vTM8M4sILHysWLLR82W+4\nuxc9hd1uX2yz2S6kSBLnIm2Vxjh9BkOAIiItsSrUDMD6hD8ArAT+rapuXCX/EB5el4SE4l+CjRvX\nB1yfgps3j+Cqq84vPH/99ZdISXGV69ChOY88MqFY248/LmDvXlfZuLi2vPLKXcXaEhN/5vBhV9nu\n3aP48ssnSshudvvE3rdvLElJL5SQ/ZNb2YED40lKer1MuSFDupKU9H65dA4dmkBS0sdFvsCU4cMn\n8OOPrpGxgwefw8KF84t92V1yyTUsXerqKJ97bmc+/XRWMb3jxk1m+XLXL9K+fTvx4YfPAZaTOmHC\nzaxY4SJGz54xvPfekxR8J6oq11xzKytXusp27x7F/PmPF/sCve66Kaxa5SrbrVsH5s37o8y0Kkye\nnIq7OILu3XvQu3c0a9as5JW33uLAsuVcO/URTrqK0qhePm+88Ufmi1tu2cbata5y8fFteeWV4k7n\nrbdudSt7zjntmTv3wcIZ3KAgKfV99ewZzfz505zvyfoblCbbqVMrbLaryc3NJzc3j9zcfLZtS8Ld\ntsm6dUNp3rxRoazD4d45OnUqh19/TS18+FBVMjNP487py8w8zcaNqcVmp0+fdj/DlZ/vIDs71zk7\nLoSEBBMU5D6TSd26oXTs2LJwFj0oSFi8uB7u8ms3aVKfUaN6Fzqp778H6uatBQtcd11ikYcf2Llz\nCenprrJt2zZl6tTLCh1/EWHlT/M5nu8qW8dxkk5r3iOyUyyRsR1p0imWtctzOeOFiT673V4PCAea\n2+32ot5yI6DKod7G6TMYAhARGQx8jeU5fYtVq7oFMAW4S0QuUdWf/WiiwUcUfIEVvHZHcHAQ9esX\nj2oNCQkGXJ2+0NAQmjVrVKytTp0Q3DnpdeuG0q5ds8LzsLBQt3L16tUhJqaVS5s72fDwusTFtXVp\ncydbv34YXbt2cGlzJ9ugQRgvv/xfJk6cyH/+8zTz5s2j3qPTOHnKRZTQYKV37z9mLBs2rOdWZ8OG\n9ejbN9alrbTxSz78lPa+6tWrS+fObcolGxFRn2HDehRrmzEjgi1bXGXbt2/Ggw/+ERySlPQxe/a4\ne1Bqw6xZdxRrS0z8gUOHXGXj49u6yP766yIOHMglJEQIDhZycqz/s44dW/Hkk5OKyX7//Yekprq3\nderUy4q1vf/+a2zb5irbqlUTrrtuWOH5zZODyckDa7bxj9m50JAzXHnloGLXvvBCI9z9Xps2bcjo\n0X0BcOTn88sLL0D2CRc5gPqNwnlu0xIOrV/PofXrSdvwC5LjtbQ1twFTsaYn1xRpzwRerKpy4/QZ\nDIHJi1g3/FhVLfzaEpEGwBdY9aurHL5fFYYODQWsDdElsdrcb56ujFx1k/XW+NWN0aPbs2PHCVJS\nfJNKJSgoiHnz5nHBBRfwzDPPEBRivuK8SWJiG+rUCeKrr3ybUrROSD1y8hpQsqJrOKvIPHiQhq1d\nl75L4/fdu/nfDTegDgd1GjTE3dSwCDRq25ZGbdsSN2YMAH9p3Am88G9ts9lmADPsdvvdzlQtHsXc\nEQZDYNIFmFDU4QNQ1ZMi8hzwkX/M+oOkpI9L7StvqpGKpCSpTrLeGr+6ObOnT2dz8cUtad06q0xZ\nT9lav359PvvsMwYOHAjkEMVSF9mQsEZurq0eDxQVkfX2+KrH6NUrDpHjnDx52ifvy+FwkJ37Oy2p\nR1iJv21+iDArIYFz77mHQffdR2h4eKk6o6JasOHNN1l0330MeuABzrvvPv4Z34ugYNegjchm4S5t\nDcIchB23xi9ZErAq2O32/sC+AofPbrffAPwJq17vNJvN5maxuvz4vQxbZTFloAILU4bN43rXAjNV\ndY6bvj8Dd6hqhWf6RKQtVi3ecKCBqmYV6XsUuJ0/au/erapuwjHM/WcoH3l5ebzwwgvceOONNGvW\nrOwLPMiaNWsY0L8/LVVdyhiEtGzJdnebx7zMp59+yvDhw2nYsOYUoFq3bh2rV6/m5ptv9kkd4c/+\n9z+uGz+eYR060LhEbr3G0dHYnniC7x5+mH3LlzP8qad4ffFiju8u7pbl5+ZyYt8+Lm7UiHHz59Oq\nZ88K2zE5MZEYZ27AaeDJMmzrgAttNlu63W6/AHgfuAtrZaeLzWYbXxX9ZqbPYAhM7gLmi8hJ4BNV\nzRGRusCVwCPAdZXU+0+svSH1ijaKyCPAY8D9QDJwH/CdiCQEUtCIoXoREhJCnz59WL16NRdffLFP\nx+7bty8RjRpx0E2VDn8UPjt8+DA7d+7k0ksv9cPo3qNXr16sW7eOtWvX0q9fP6+P9/hdd3F97978\nZ+XKUve4TvjgA/YuW8Y3f/0rW377jcGnXDd2burenYT//rdSDh9YDuaugpNKJoYuhaAis3lXAS/b\nbLaPgY/tdrvbh/CKYJw+gyEw+RRrNu4dAKfz18DZdxr4X5EPPFXVMjeAicgFwEXA01jOX0F7GPAw\n8LSqznS2/YK1nHAX8HjV346httKjRw/mz5/PRRddVOqXtNfG7tXLbaWGTvHeS7VRGhs2bKB79+4+\nmQ3zJSLCmDFjePPNN0lISCCslDJ5nuCDp59m96FDPLVuXZn/S+0HDeLm5cv5pls32LLFpb91z55k\nunEGy8uMuXMLX89zY4vdbn8EmIQVTfUrcKPNZssph+pgu90earPZcoERQNGiwlX22YzTZzAEJi9V\nQLbMdVYRCcYK/rADJUPUBmHlavigUKFqloh8DozGOH2GKtCsWTMiIyM5efJkwCxrnnKXHNKLOBwO\nNm7cyPXXX+/TcX1Fy5YtufHGG73q8B3etIln//Y37rzzTho1b16ua0TEKsnnxukLa9yYqCjXfIue\nwG63RwN/Bs6x2Ww5drv9feBqYF45Ln8XWGK3248CWcBPTp2dcVOOs6IYp89gCEBUdZqHVU7BKun2\nEq5Lw12AfGBbifZkrOUFg6HSiAg33HCDv80oRsbOnWQdPUq4j/YZ7tq1i0aNGtG8nM5KdcSbezZz\nTpzg1csuIyU4mEU2W9UVilA3IsJrTh/Wg3UuEG632/OxVm32l+dCm832lN1u/x5oBSyy2WwFeZcE\n+EtVDTNOn8FQwxGRpsDfgGtVNd/NskgT4KSbyIwMIFxEQlTVNSOwwVBNya5fn0X33ccV88oz8VJ1\nfv31V5/sd6uJqCqf3XwzGyMiuO7ii4mMdK3uUWFatSL/zBkaNGhQtmwlcAZhPA/swdqO843NZvuu\nAtcvd9PmvuBwBTFOn8FQ83kKWK6qC/1tiMHgSwpqqhYlKyuL5C1beOGTT+j6f/9HnA8CTMaOHUtw\nsPsSX4azs+Lf/yZt+3Z+2L+fn6dOrfD1xQIunDRq144G+W5Kb3gIu93eCauaUjRWNr8P7Xb7tTab\n7W2vDVpOjNNnMNRgRKQbcCNwgYg0djYXJJ1qLCKKNaPXQFzzsDQBskqb5Zs2bVrh68TERBITEz1s\nvcFQNeYW2WxflIyMDMYMG8YVV17JTzt30rRVK7dyniKkFiaJVtUqB+7sWbqUn//xD4LvvpuBK1YQ\nF+dao7osZrj5H8jMzCS/Ck5fUlISSUlJZxPpByyz2WzHAOx2+wKsvdN+d/pMnj6DRzB5+gITEbkC\nWHAWkTlYG4cXA/GqWrivT0ReA3qoan83es39Z6jW5ObmcmnXriRnZPDDqlXExMT426QaQ2pqKqtX\nr2b8+IqllLtn8mR+T00FIP/MGQ6sWUNk584s3rePBf/7X8A+WJb8HrDb7T2xHLz+QDYwF1hps9kq\nEqDnFWrf44fBULv4CUgs0TYaeMj5cyfWvpMTwESspWBEJBy4FJjtK0MNNZ9ffvmFvn37Ehoa6m9T\nCA0N5cOffuK6zp05p0sXzunalYiIiGIy0dHRpc4WGkqnXbt2fP7556SkpFRodu731NTChMcAsUDK\npk1IgwYMHTrUC5Z6B5vNtsFut78JrMZK2bIWeMW/VlkYp89gCEBExAEMVNWVbvr6AStUtcxNQqp6\nDPixxPUdnS9/KqjIISLTgcdFJAOrYsdfnTL/rfy7MBiKs3XrVpo0aUK8H/LkuaNhq1bY/v1vVt95\nJ+vXr/eIzkOHDrFy5Uouu+wyj+irjoSEhHDJJZfwxRdfEBMTUyUn/xega7t2Ps/xWFVsNtuzwLP+\ntqMkNStLpMFQOwgFqhpNW2xtVlWnY83yPQJ8jpUIeqSqHqniOAZDIXFxcaSkeCQI0WP0uvFGGtSt\n6xFdmZmZvPvuu3Tq1Mkj+qoznTp1om3btvz4449lCzspuWXkEFbV3OganOrG1xinz2AIEEQkSkQu\nEJGCdYw+zvOixyisXE2plR1HVeeqanDRurvO9qdVtb2qhqvq0NLq7hoMlaXA6Quk/aAiwolSAi22\nJyeXW8+ZM2d499136devH926dfOUedWaiy66iDVr1nDkSNnPjnnZ2RzdvLlY2y/AACDYQ1VMVBWH\nw1G2YA3GOH0GQ+BwI5AE/OA8n+k8L3osBC7HqqxhMFQrmjZtSlhYGAcOHPC3KcVw5LmfOM8uZ5ku\nh8PBggULaNmyJUOGDPGkadWahg0bcsUVV1CnTp2zymUdPcqbF14IRZZwM7Gyw3syu+HRo0d55ZWA\n2FrnN8yePoMhcJgJfOR8vRG4FqtmY1HOAHtUNduXhhkMnqJgtq9t27b+NqVM0k+eZPHixVx44YVn\nlVu9ejU5OTlMmDCh2u098zZlBXIc27aNdy65hK4TJhAbG8uu3bsBWLdrFx1yc0mLi6Oxm3yLlSE1\nNZVWXk7PE+gYp89gCBBU9TDWFpaCYIsDqnrGv1YZDJ6lX79+nDkTWP/WDcLCCDt+3KX9TOPGXHvt\ntTz22GPceeedpTp0ffr0oUePHiYBcwXZ8/PPfDB+PMOffJI+t9zCW5Mnkwrk5+ez+cABevfuTSpW\nhmNPsHv37lq/39I4fQZDAKKqqQAiUhdoC7hUMlfVzSXbDIZAp0mTJv42wYUhXboQk5bm0r6rZ0+e\neP11LrvsMjZu3MiLL77odqkyJCSkViZgrgq/vvsuC6dO5cr58+k0ahRgzcQtKZKyZdWqVR4bT1XZ\nvXt3mbO2NR2zp89gCEBEpK2IfIlVt3E78FuJo+Syr8Fg8AIdO3Zk+fLlpKWlMWLEiHIFJRhKR1X5\n6emn+e6hh7h+8eJCh8/bpKenExQUROPGjcsWrsGYRxODITB5FegD3AtswdrLZzAYvEDJ+qwn9u/n\n1OHDdImKAqyAhE8++YTHH3+cmJgYunTpQoMGDYrpMImc3VO0ykadBg04tHEj2enpdL7kElp27+4z\nO44dO0ZsbGyt33NpnD6DITAZDNyqqu/72xCDoaZTsj6rIz+fOQMGMHDkyMK2oKAgnnrqKRYsWMCa\nNWsIDw8nKysLw9kpVmXjmmto26gR7N3LrsOHXWRPnz7tNTvi4uIqVbu3pmGWd2sQkZGRiIhfDvjc\nb2P78/AiRwDzjWKo0VSl6L03CQoO5pKXXuK7hx4i58SJYn0tW7YkMjKSKVOm+Mm6akxyMpxzjtsu\nVWXbtm1u+wyew8z01SAyMjL8lvRU5DJUP/PL2P7Ei47fE8BDIvKjqrqGFRoM1ZwNGzaQmprK5Zdf\n7m9T3NJu4EA6XXwxSdOmcdG//lWsLz4+3jgo5eDkoUMc2byZmIKGrVth1ChwE+X83nvvoaqcf/75\nBJVIxhztoZQtBuP0GQyByjigA5AqIquA34v0CaCqOrE8ikRkPFYt3TigPrAbeAt4VlVzi8g9CtwO\nNAVWAXebqhwGbxEVFcWiRYtwOBwuX/KBwojp05nZrRu9b7qJFgkJhe3x8fEsW7asmGxeKQmeayOO\n/HxWz57NkmnTCKlX74+OU6fg8GGIiSkmn56ezl//+lcWLlzIueee62NraxeBeacZDIbmwA5gA1AH\naOE8mhc5yksk8B1wM3Ax8Drw/4DC6QsReQR4DPgHMBY4CXwnIi2r+kYMBnc0btyYBg0asH//fn+b\nUir1mzdnqM3GV3feWbiKEhISQuvWrdm5c2cx2fXr1wdcpRF/cGD1al4bOJDNH3zADUlJNOnYsbjA\nli3QpUuxpgceeIAJEyYYh88HmJk+gyEAUdVED+oqWXdoiYg0Au4E/iIiYcDDwNOqOhNARH7Bqu97\nF/C4p2wxGIoSFxfH1q1bad++vb9NKZV+U6awbs4cfnv3Xbpfcw3x8fGcOHGCwYMHF8qoKpmZmZx3\n3nl89dVXNb72btGI3AIceXlkHT3KwN9/Z8Qzz9Dz+usREZfI6JC6dQmrX5/GTZsC8MMPP/Dtt9+y\nadMmr9l76tQp8vLyiIiI8NoYJbHb7Y2BOUA3QIGbbDbbLz4zoBT84vSJSEOspaaCLJ0ZQIqqZvrD\nHoMhkBFr42Br4EjR5dgqkg6EOl8PAhoCHxR0qmqWiHwOjMY4fQYvER8fz2effcaIESP8bUqpFAR1\nfDhhAnFjx3LLLbdQt25dunbt6iI7f/58hg0bxvvvv8+wYcP8YK1vKBaRW4TVrVtz5+bN1IuMLGwr\nGRldlOzsbG677TZefPFFGjZs6A1TAdi4cSO///47o0eP9toYbvg38JXNZhtvt9tDsLbW+B2fLu+K\nyEgR+QnLyVsFLHIeq4AMEflRRAL37jcYfIiIjBGRlUAOsBfo7mx/VUQmVUJfsIiEi8gQ4C/AbGdX\nFyAfKLkzPdnZZzB4hbZt2xIeHk5OTo6/TTkr7QcNotOoUSz529/o3bu3W4cPYNKkSbz//vtcddVV\nvP322z620v80jYsr5vCVxVNPPUWPHj247LLLvGgVHD16lKbOmUVfYLfbI4DzbTbb6wA2my3PZrMF\nRECez2b6RGQi8C6wELgJK+FshrO7CdaXy1XANyLyf6r6gVtFBkMtQESux9p79zbwEvBGke5tWPvz\n5ldQ7Sms/YEA7wAPOl83AU6qa+h3BhAuIiGqanapGzyOiDB58mR/m1EuRjzzDDO7daPXjTfS4izL\nt8OGDeP7779nzJgxPP/88zRs2NAlyt8kcobffvuN2bNns2GD92PFjh075usl9xjgiN1ufwPoCawB\nptpsNr+n4fLl8q4NeF5VHyylfxXwlog8C0yjyFKTwVAL+X/Ac6r6sIiEUNzp2wTcXwmdA4Fw4Fys\nlDCzgNuqaqjBUBuo36IFFzzxBF/fdRfXf//9WdM1JSQksHz5cuLi4jh16pQPraweOBwObr31Vv7+\n97/Tpk0br4937NgxmjVr5vVxihCCVVHpLpvNtsput8/A2jf9hC+NcIcvnb6OwJflkPsKuNvLthgM\ngU4U1tYHd2QDjSqqUFXXO18uE5GjwDznQ1YG0EBEpMRsXxMgq7RZvmnTphW+TkxMJDExsaImGQzV\niv633866115j0/vvk3D11WeVbdOmDb169WLp0qU+sq768PLLLyMi3HrrrV4fKzs7m5ycHI/uGUxK\nSiIpKelsIvuAfTabbZXz/CMsp8/v+NLp246Ve8x192dxLsd1b5HBUNvYh/Wk+L2bvr5Y91NVWOf8\nGYW11SIYiKX4vdfF2eeWok6fwVAbCAoJ4ZKXXuKjq66i85gx1C3DkQgJqZkJMsKbN2dJcDBtzz2X\n4NDQwvbG5UiivH//fp544gk+//xz3nvvPa655hovWmo5fd26dfNoIv2SD7l2u71Yv81mO2S32/fa\n7fY4m82WAozAWqHxO778j3wM+EhEErCWbpP5I+FsBHAOMAFIBMb70C6DIRCZA9hE5BDwqbMtyBno\n9CDw9yrqL8g3sQs4CJwAJgJPAYhIOHApfwR7GAy1mg0bNtCoUSP+/eqrbM/NJalrVyI7dSrsbxwd\nfdZI1aI4HA4vWekbxnXsSN6ddzL63/+u8LV33303U6ZMoX///vz4448cP37cq6lUGjdu7K+qL38B\n3rbb7XWwcq7e6A8jSuIzp09VPxWRYVjpH/7LH+kiCsgFfgASVdXMhxtqO88C7YF5QME3xDKsGbnZ\nqlruT1sRWQh8C2zGitIdjFWh4z1V3eWUmQ48LiIZwFZnP1j3qsHgVVSVn376iSFDhgRsdY4VK1Yw\natQofk9Npf/hw1bjvn2F/btKuc4da9asYf369fTq1cuzRvqAnMxM1r32Gn9etapsYWDy5MmkOnP6\nHT16lB07dnDkyBFuvvlmrrjiCrZu3cqAAQO8aLF/sNlsG4D+/rajJD6de1bVn4GLRKQu0Iniefp2\nqGpgx+0bDD5CVR3AnSLyAnAh0Awrt973qrq1gupWApOBaCAP66nzYYrM4qnqdBEJAh7hjzJsI1X1\nSNXeicFQNiLCli1biIqKIioqyt/muHDixAl+//33syaRdlf33F3NWFUlPz+fUaNGMXXqVB566KFq\ntQy87vXXiRk+nCYlSqmVRmpqKktK5PT76aefCAoKIj4+nlWrVtVIpy9Q8csjlarmqOpmVV3qPDYb\nh89gsBCReiJyRkSuUNXtqvqyqj6lqrMq4fChqk+oandVbaiqTVS1n6q+pKr5JeSeVtX2qhquqkNN\n3V2DLymozhGIpKSkEBsbS3BwcKkyB1at4senniJj1x9zfo2xnrSKHjEi9IuNZc2aNSxZsoRBgwaR\nnJzsRes9hyMvjxUzZnDeffd5RF+nTp3Yv38/p0+f9og+Q9kE3OOFiLQHRFX3+NsWg8EfqOppETmM\nNStnMNQK4uPjWbBgAaNGjfK3KS6kpKTQo0ePs8o0jY8n88AB5gwYQNO4OLpfey3Htm0jdtkyF9ld\nQPv27fnmm2+YPXs2Q4YMoWPHjtSrVy+gc/pt+eQTGrZtS7sK1Mg9c+ZMqX116tQpdPxiY2M9YaKh\nDALO6cO6HwRr75LBUFt5GbhbRBapaumfmgZDDaF169bk5ORw7Ngxn1ZPKIszZ86we/durrzyyrPK\nhUVEMOall7h4xgx2LFrEr/Pns3/FCs7myogIt99+OyNHjqRv376cOHHCs8Z7EFVl+fPPM/ihh8p9\nzYoVK1izZs1ZZcaPH++1fZynT5/mwIEDdCoScFPbCUSn7yYsp89gqM1EAAnALhFZDKRhFe0u5CyJ\nzg2GaoeIEBcXR0pKCuedd56/zSkkNDSUP//5z4SFhQFWlK67oI2CdCXBoaHEjRlD3JgxfLp3L5Qj\nT19sbCy9evXixx9/9KDlnmXvsmVkHT1KfDlKpqkqs2bNYtq0aXTu3JlNm0rPVuLNwJ39+/ezbNky\n4/QVIeCcPlV9s7yyJjmswdeUIymnpxiPVXNXgPNL9AmWA2icPkONYtCgQR7Np+YJRKRYNYfypmUB\nK69fRcZxx+7du9mzZw8dOnQoty5vsPy55xh4770EnWVfI8CpU6eYMmUKGzduZNmyZTz55JNuq2G4\nC3LxNL6uuVsdCDinryKY5LAGX1NWUk5PoarRXlFsMAQw5gvalZycHHr37k2PHj2YNGkS48ePZ+rU\nqYVpUIrirf1/x7ZtY8/PPzNu/tnLfW/bto0//elP9OrVi+XLlxMeHu7X/Yh+KL8W8PjU6RORccBV\nztPZqpokIhdh5STrhLWf7yVVNQlhDQaDwVCtKbkUfGLfPk6lpRFfgVm7uLg4vvnmG7766iveeust\n7rvvPkJDQzl69KjnDS6FX2bMoM+tt1Knfn2geO69Ao4ePcr27dt54YUXmDJlSkDM2B47dowuXbr4\n24yAwmdOn4hcA8zHKv90HFgoIjcCrwOfAG9jlZeaKSL5qvqqr2wzGAIRPNs9iQAAIABJREFUsT41\nhwCdgbCS/ao60+dGGQyGclNyKVhVeeeSS2jjZmmztOXO6Oho6taty7hx4xg3bhzp6ekMHDjQrdOX\nlZVFfn5+YWoZd85Zgc7yzsBlHTvGb+++yx1F9uW5y70H0Lt3b26//fZy6S3J3r17qVevnkdn5szy\nriu+nOm7H2t27w4AEZkMzAVmqGphOJCIHADuAIzTZ6i1iEhLrLq755xFzDh9BoMX8XSJMBHh8jfe\nYHavXnQaNYoOQ4YU9pXXCYuMjKRNmzZs2+Zaon7jxo1ERESQkJBAr169WLZsmVs5d5TmIIYdP87t\nV1xBw9aty9TRqFGjco3ljp07d5Kdnc1FF11UaR1FUVXi4uK8WuKtOuLL5MydgQ+LnC/AKsX2ZQm5\nL+GsUe4GQ23geawZ8YISAAOBGKwa1ilAnJ/sMhi8jqq6rXDhS44dO8acOXM8bkeDVq249JVX+OS6\n68g+ftyjugcOHMj+/fv55z//SUJCApmZmW7ldu/ezdtvv83SpUvZv38/DoejcPau5LF10ybqXXQR\nb7/9No8//jgTJ05kVTlLsFWELl26kJyc7LHft4gwduzYgFhmDiR86fQdB1oVOW9R4mcBzZyyBkNt\nZijwHHCooEFVd6vq01hbIco9yyciE0XkSxE5ICKZIrJaRK52I/eoiOwVkSwRWSIiPT3xRgyGivLm\nm2+SlpbmVxtSUlKIi4vzitMQf9lldLroIr7+y188rjsiIoLzzz+fu+66i/j4eLcy+fn5fPHFF9x/\n//3069eP8PBwVqxY4VY2NTeXh6ZP5/PPPycoKIhx48Z5ZZ9cixaWK+Dvv3tNx5fLu4uBv4vICeAE\n8DdgOWATkXWqukNE4oAngJ99aJfBEIg0Bo6qar7znin6cLQMKH+GVLgH2AncDRwFxgDviEgzVX0R\nQEQewZpFvB9IBu4DvhORBFU1n8IGn9K0aVNSU1Np1apV2cJeYuvWrQwaNMhr+kc9/zyv9OnDb++9\nR8LVLs9gZ+Vs+//KQ8eOHXn33XcLz7Ozs7ngggvczuD1796dlevWFWt7+eWXy21reRGRwtk+f/7d\nazq+dPoewVq6/dx5/iNwCfAZsE1ETgP1gFSnrMFQm9kFtHO+3gxMAr5wno8F0iuga6yqFpVPEpE2\nwF+BF0UkDHgYeLogOEREfsG6F+8CHq/smzAYKkNUVBSbN29m4MCBfhk/KyuLgwcPEhMT47Ux6tSv\nz5XvvMPbo0fTftAgIioQ0evpNChhYWGEh4e77avXpIlLW1WdztLo0qULX3/9tcm560V85vSp6gER\n6Qt0waqtuwlARC4ELuePlC1fqmqWr+wyGAKUr4CRwDvA34HPRGQfVj3eDlRgpq+Ew1fAeuBPzteD\ngIbAB0WuyRKRz4HRGKfP4GOio6P5+uuvUVW/7Mnavn07MTExhIaGenWcNn37MvDee/nk+uu5fvHi\nMhMfVxRPOGfufv/eyr3Xvn17Bg4c6Le/u6ex2+3BwGpgn81mu9Tf9oCP8/SpqgNr1qIoDqzZhFtV\ntXxhRgZDDUdVHy7y+msRGQSMw5oNX6SqX1dxiPOArc7XXYB8oOT9l8wfeTUNBp/RsGFD6tWrR1pa\nml+W+kSEXr16+WSswQ8+yI6FC1n23HMMqUBd2/JQEefs8L59tHRGujry8zlz8iR1GzXi8L59HrXp\nbAQFBXnk966qLF26lMGDB/vbeZyK5fM09KcRRQmEihxBWJvWA+aXYjAEGqq6CvBIyFyR2fUbnU1N\ngJPqGjaXAYSLSIiq5nlibIOhvMTExHD48GG/OH3du3f32VhBwcGMe+stXunXj44jRtCmb1+fjV2U\nAe3aEbNjR/HGEyfY1bu3X+ypCidOnGDFihUMKZISx9fY7fZ2WFvYnsLaShMQBILTZzAYSsFZsaY/\n0Bo4CKxU1UVV0BeNtWT8v4rUuTYYfM2YMWP8PUvjMyI6dOC3Ll244fzzad23b7Fl3sbR0RWq92uw\nkjIHQPm1F4AHgMonL/QCxukzGAIQZ6DF/4B+wGHn0RJoLiJrgCtUdX8FdUYCX2Ptnb22SFcG0EBE\npMRsXxMgy8zyGfxBbXH4CpCgIIacPg0/F09esasUeUPp+LsSh91uHwscttls6+x2e6LfDHGD350+\nVc0TkeFYCWcNBoPFK1h5LYeo6rKCRhEZDLzn7B9TXmUiEo4V/RuCFc2bXaQ7GQjGSopedF9fF2BL\naTqnTZtW+DoxMdFE3BkMBo9RlWCOY8eOeXWmLykpiaSkpLOJDAIus9vtl2CV0Gxkt9vftNls13vN\nqHLid6cPQFWT/G2DwRBgDAduLurwAajqUhF5CJhTXkUiEoJVDacTMEhVSxbtXIaVO3Mi1v6TAifx\nUmB2aXqLOn0Gg6F6c+rIEX+bUEhWVhZvvPEGd9xxR6Ucv2PHjtG5c2cvWGZR8iHXbrcX67fZbI8C\njzr7hgL3B4LDBwHi9BkMBhcOA6dL6TsNVOQTeiZW6pWpWMvDzYv0rVXVbBGZDjwuIhlYUb0FG4//\nWzGzDYbqy08//UR0dDTt27cvW7gGcfi338jYvp3kPn2o27B4TGXjKubeqwzh4eGoaqWjtxMSEmhd\njlrBPsS/NQWLYJw+gyEweRqwi8hqVS3MmSAi7QG7s7+8jMT60Pl3iXbFque7R1Wni0gQVmL0pliR\nwiNVNXAe/w21DlVl165dxMTEeH2PX25uLsuXL6dHjx5eHaeieLsG8emMDN674gr+9dpr9Jg0yatj\nVYROnTqxffv2Sjl9vQMo4thmsy0BlvjbjgKM02cwBCYjsZyvHSKylj8COfpgzfJd6Ey9IoCq6sTS\nFKlqucoKOOv6VsSZNBi8iojwxRdfcPXVVxfWZvUWW7ZsoU2bNkQ4c9X5msbR0cWCNtThIG3jRiIy\nMrw2piM/nwXXXEPcpZcGlMMHEBsby9KlS/2adqUmYpw+gyEwaY4VVLHdeR4BZGPtvyvoB6fT51vT\nDAbfER0dTWpqqtedvvXr19PXTznyALdpWU4dPsyr/fuzZcECzrnySo+P+cMTT5CXnc3IZ5/1uO6q\nEh0dzUcffUR2djZhYWH+NqfGYJw+gyEAUdVEf9tgMAQCUVFRpKSkMGDAAK+NkZGRQVpaGvHx8V4b\nozLUb9GCiR9/zNujR9M0Pp4W3bp5TPfmjz/m1/nz+fPq1QR7udxcZQgNDSUmJoa0tDSioqL8bU6N\nIcjfBhgMBoPBUBoFM33e3NuWkpJCQkICISGBNw/Spl8/Rj3/PO9fcQWnPbTUe/i33/hyyhQmLlhA\n/ebNy77AT1x11VXG4fMwxukzGAIUEekhIu+KyA4RyRKR7SLyjoj09LdtBoOviIiIoG7duhw9WjLT\nkOcYMGAAI0eO9Jr+qtLz+uuJveQSFlx7LY78/CrpOp2RwfvjxjHqX//yW8m38lKZ4J3FixeTmZnp\nBWtqBsbpMxgCEBG5AlgD9MLKsfc48DFWIMcqERnnR/MMBp9y3nnn4XA4vKZfRAJylq8oo557jtys\nLJJstkrrcOTns+Daa4m95BJ6XnedB60LDFSVlStXEhqAy9WBQmD/lxsMtZdngE+BCUVLo4nII8AH\nwHTgEz/ZZjD4lP79+/vbBL8THBrKhA8+4NX+/Wndp0+5AjvumTyZ31NTC88zdu0i5/hx4po1Y7QX\nbfUXmZmZhIaGmsCPs2CcPoMhMGkP3F2iFi6q6hCRORiHz2CodRQEdlw/eDAtevSgTv36xfobR0cX\niwL+PTWVmCV/pIgryN20a88eH1jre44ePerV8ms1AeP0GQyByRqgG/CNm75uzn6DwVDLaNOvH41j\nYohfvdqlbxdw5tQpft+1i4xduzixb5+rgmpIcnIynTp1KnPZ9tixYzRt2tRHVlVPjNNnMAQm9wLv\ni0gdrFm9w0AL4ErgZuBqZ31cAFQ1yy9WGgzVFFXll19+oV+/ftVuD1iDVq1g61aX9j1Ll/LPZs1o\nHB1N45gYcrNqxsfCL7/8QnBwcJn1dM1MX9kYp89gCExWOn+WViVjZZHXCgR73SKDoQZx8OBBVq5c\nycCBA/1tisdo068fjy5digRZMZrfJibCwYP+NcoDxMbGsn379jKdvp49e1KvXj0fWVU9MU6fwRCY\n3OQpRSISCzwAnIe1NPyjqg5zI/cocDt/1N69W1U3eMoOg6Eq5ObmsnDhQsaOHeuROrzr1q2jV69e\nXq/p60tC6tYtdPhqErGxsXz44YdlyrVp08YH1lRvjNNnMAQgqjr3bP0iEqqqueVU1xUYDSzHuudd\nstw6o4IfA+4HkoH7gO9EJEFV0ypgusHgFUJDQ9mxYwfHjh2r8hJebm4umzZt4rbbbvOQdYFJyXq+\nRdurEy1btuTMmTOkp6cTGRnpb3OqNcbpMxiqCSLy/9s79zi5qirff38JinlBQrwS3okdMQSHGzWg\nwoVEHMNTdJDHhGFGGB0ELvfKXETEESqFVxSIAjLAgAEyDCAwqBBEREgIEB4KkhgeDUIeBDphiDFI\nApFAes0fe1f69El1d3V31alT1ev7+exPnbPPPnutdU7v3evs5yDgQGA68DdApbXfnWY2J+ZxW/o+\nSe8Dvgmcb2ZXxLjHgOXAaYQ1Ah2n7pR25+iv09fa2sqOO+7ItttuWyXNsqVSZ67cfr6NiCRaWlpY\nsmRJQzh9xWJxF+B6wjhsA64uFAo/qq9WAXf6HCfnSPoUwdE7GtgeWAP8pNL708u+lGFfYARh/b/S\nPW9JupPQQuhOn5MLdtttN5YuXcrkyZP7lc+iRYv4eM53o+iOZnHmesPkyZPZ1M/dSDLkHeCfC4XC\nomKxOBz4XbFYvLdQKLTWWzF3+hwnh0jai+Do/S2wG/A2sDXw/4B/NbN3qyhuArAJeCEV/xxwbBXl\nOE6/GDt2LPPmzcPM+jUW7/DDD2ebbbapomZOrdl5553rrULFFAqFV4FX4/H6YrHYCuwI1N3pa74R\nn47ToEhqkfRtSc8Ai4CTgYeBo4CWmOzJKjt8AKOA9WVaBNcCQyX5x6GTC0aOHMmgQYP405/+1K98\ntttuu9xvu+b0jnnz5rE8sftIXigWi2OBjwK/qa8mAf+rd5z88AKwAbiJMKHivtJkDUkj66mY4+QB\nSUyfPt1b6ZwtWLJkSY9LumRN7Nq9DfhaoVBYX299wJ0+x8kTLxG6cqcQxu2tofN6fLViLTBcklKt\nfaOAt7pqWZwxY8bm46lTpzJ16tRa6ug4AIwZM6beKjg5w8wyXZh5/vz5zJ8/v9s0xWLxPcBPgRsK\nhcLtWehVCe70OU5OMLNxiUkbJwDfkNQG3A7MraHo5wiLO4+n87i+CXQzBiXp9DmO49SL9evXs9VW\nW2W2MHP6I7dYLHa6XiwWBVwDPFsoFC7JRKkK8TF9jpMjzOxRM/u/wE7ANODXwPHAz2KSkyTtXWWx\njwBvAMeUIuIWb58D7q6yLMepCxs2bGDlypX1VsPpJw8//DCLFy/uFJfD7df2I9Tbny4WiwtjOLje\nSoG39DlOLjGzTcB9hAWSTyEsnVJan+84SX8wswmV5CVpCHBYPN0JGCHpqHh+l5ltkPR94BxJa4Hn\nCbOEAS6rjkWOU18WL15MW1sbRx55ZL1VcfrBsGHDeP7559lrr702x61Zs4bRo0fXUavOFAqFBeS0\nUc2dPsfJOWa2EbgDuEPSMODzhKVcKmV7OtbgK43ZuzUejwNWmNn34+LPZ9OxDdtnzWx1FUxwnKrT\n3t7OoAq3HDMzFi5cyLRp02qslVNrWlpauOeeezq9/z333DN3kzjySuaeqKTPSJop6ReSHpa0QNKd\nki6SdGDW+jhOI2Fmb5rZTWZ2RC/uWW5mg2IYHEPpeEUi3flmtouZDTWzKb7vrpNX3njjDS677DJ6\nXnc8sGrVKt5++23GjRtXY82cWjNixAhGjhzJK6+8sjluyJAhDbu7StZk5vRJ2k7Sg8C9hC4qgGWE\nrZ4GAUcSurIekJT/fVYcx3GcujBixAg2bdrEggULWLhwIU8//TRtbW1l05Za+SZNmtSvBZ2d/NDS\n0sKLL75YbzUakixb+n5E6Gb6hJm1mNnhZnZ8DIeZWQuwDzAmpnUcx3GcLZDEoYceyrp161ixYgWt\nra0sWbKkbNrW1laeeuopJk2alLGWTq0YP348L730Ur3VaEhUafN4vwVJrwMnmFm369VI+gLw72bW\nbVvtlkuKOZIq7u6ovuwjMJtTF9n1JD7zAdd84OXPaRTMDDOrePyfk3/a29sxMwYPHlxvVYDG+j+Q\nZSloByp5KIppnQTbbbcdkroNo0aNqreajuM4uUKSO3xNxqBBg3Lj8DUaWc7evQOYKWm1mS0ol0DS\nfsBM4OcZ6tUQrF27tm6teI7jOI6TRx555BEA9t133zpr0hhk6fSdTlgm4kFJrxJ2AXg9XhtJWP1/\nDGEx2n/OUC/HcRzHcRqQ1157jV133bXeajQMmbV5m9mfzewgwkrVs4A/AiNiWA38GNjXzA42sz9n\npZfjOI7jOI1JDnfjyDWZL85sZo8Cj2Yt13Ecx3Gc5mHDhg20tbW509cLfHSr4ziO4zgNx7JlywAY\nOnRonTVpHHLn9EmaJenaeuvhOAMNSRMlzZX0pqQ2ScW4NZvjOE7umDBhAieeeGK91Wgo8rj37lTA\n52I7ToZIGgXcBzwNHAGMB35A+DA8p46qOY7jlGXQoEE+iaOX5M7pM7Px9dbBcQYgJwNbA0ea2Xpg\nrqRtgBmSLjSzdfVVz3Ecx+kvuXP6HMepC4cA90SHr8QtwAXAFOAXddHKcRynASkWiwcDlxB6LmcV\nCoUL6qwSUIcxfZJGSDpc0hmS/n8MZ0g6TNLwrPWphPnz57ssl9XsfJiwduZmzGwF8Fa8NiBo1r8d\nt6uxcLsam2KxOBj4V+BgYCIwvVgs7lFfrQKZOX2SBkn6DvAqMAcoAl+KoQjcCbwq6TxJudrDrlkd\nFpflJBhFx2LpSdbGawOCZv3bcbsaC7er4dkHeLFQKCwvFArvADcDn6+zTkC2LX0Fwk4bM4CxZjbc\nzHaJYTiwW7xWStMvyv1xJePKHZf7reSP1GVBWGu7+ezqr6xmp6fnVul5V3GVXOtLut7k43a5XZVc\n60u63uTjduXfrgQ7AS8nzl+JcXUnS6fvK8AZZnZR7DbqhJm9bGYzgTNi2n7RrE5EXmXBmsxkNdIz\nbCDWAtuWiR8Vr5WlWStvt6v78550crsqS9ebfNyu/NuVwKqdYbWQWTa6SXoTOMLM5vaQ7jPAnWbW\n7WqLknL7UJ2BhZnlajhCX5D0ANBmZscl4nYBXgI+Z2Z3pdJ7+XMcx4kk/w8Ui8VPAjMKhcLB8fxs\noD0PkzmynL37GHCWpN+kZghuJk7kOIsKtmlrhn+0jpMj7gbOlDQ8UT6PJUzkeCCd2Muf4zhOlzwB\nfKhYLI4FVhLq0un1VKhEli19EwmLv24N3EOYKVgaOL4tsAdwEPA28Bkza81EMcdxkDQSeJawOPMF\nQAthceaLzezceurmOI7TaBSLxUPoWLLlmkKh8L06qwRk6PTB5lX/TyasCfZhOmYFriU4gXcD/2Zm\n5WYROo5TQyTtQVhm4FOEMjkLmGFZVhKO4zhOzcjU6csaSVcCnwN2NLOaTVqR9BHgemA40Ar8XVdd\n2FWQlZVNuwCzgR2AduAuMzurhvIeILT4DgKWAieaWZcTCKok83LglBo/x+XAm8DGGDXdzJ7r+o7G\npx7vstZkXR6yJKs6JWuyrJezponfWVOWszzViU3zx9IFNwIfy0DOvwHfMrPdCS2W36ihrKxsegc4\n08wmAh8FPiHpyBrKO9zMJpnZXsASavsMkbQ/MIzaz7Iy4BAz+2gMTe3wRTJ9lxmRdXnIkqzqlKzJ\nsl7OmmZ9Z81aznJTJ+bO6ZP0cUnXViMvM1tgZq9VI6+ukLQ9Yd3BX8Woa4Av1kpeFjZFOa+a2ZPx\n+B1gMbBzDeWtg7CIN+HLfHWtZEnaGvge8HUgiwkJA2rSQ5bvMiuyLg9ZklWdkiVZ18tZ04zvDJq3\nnOWpTsyd0weMA06otxK9YGfCwoslXgZ2qZMuNUHSaOALhAk4tZTzS8KOLR8BLq+hqHOBWWb2xxrK\nSHKHpEVxy8EBsd91hu8yc7IqD06/aPp6udlptnKWlzoxy23Ypkg6oIswXdIdkpYAt9JFy4ikiZLm\nSnpTUpukYvSc+6LPeElXSVosaZOk+/sos8dWnCrKytKuUrqtgdsIszifr6UsMzsUGAMsAC6thSxJ\newH7mNlsqfx2f1W2az8zmwTsR9iD8evl8qo3Wb7LLMmyPGRJlnVKlmRZL2dBs74nqK1t9SpntbQp\nL3Vilq0OZR9egm4LqcLM3/sIS0ocAYwnLCkxCDgnpvkycFq85VQz6269v4mEWcSPEp7DFmO7KpFJ\n+JpMNj/vSucvzGrKqoSqyZI0mDB25HdmdnEtZZUws3ZJ1xP2KqyFrH2BiZKWJe5bCuxtZmuqbZeZ\nrYy/b0q6BvhqOq+ckOW7zJIsy0OWZFmnZEmW9XIWVMWeXv5vy4pa2HYK8Dj1K2c1fV+5qBPNLJNA\n2KfrRmBPQvNmV+H3Qa0t7j875jE8EXcmYWbkiG7kCmgvF584vg2Y11eZBM/9kHh8IfCdWsnqzqYa\n2DULuLa7Z1sNWcBIYPvE9XOB62r5DBPXa/a3AQwFtonHWwHXpf828hKyfJeNaFeM67Y8NKpdpfy6\nqlMa1S56qJcbzZ5yedfzndWwTq5bOauFTXmrE7NsPn6MMLD2GTN7uqtA2AGgHIcA91jnKfe3AEOA\nKeVukDQLWAGYpJclXV26ZvHp90ClMk8BvivpD8AEQgWzmWrK6s6mKsk6IMrZD/hH4OOSFsZwWjKT\nKto1CrhT0u8l/R7YnbAHcy1kpdki3yrKGgM8EG1aRJiZ9t0K8s6cLN9llmRZHrIkyzolS7Ksl7Og\nVvVWHt5ZLWyrdzmr0fvKVZ2YZffuXcDfV5DuLWBVmfgPE5pUN2NmKyS9Fa/9In2DmX2lD3r2WqaZ\nPUX/p89XKqu/NvUkawJhbaSHqc6Yzx7tMrNlwD5ZyErfYGaDayXLzJYSlh1oFrJ8l1mSZXnIkizr\nlCzJsl7Ognr8b8uKXtnWIOWstzblqk7M7OGa2RVm9qkKkpZ250gzio5t29LpR5WJrwZZynRZLivv\nNKvNbldj0Wx2NZs9SZrRtoa2qe4etaTBkuZJ+lC9dXEcx3Ecx2lW6u70EQajTgVG9JBuLWEbkzSj\n4rVakKVMl+Wy8k6z2ux2NRbNZlez2ZOkGW1raJvy4PRVynPAHskIhX36hlK+O7jRZLosl5V3mtVm\nt6uxaDa7ms2eJM1oW0Pb1EhO393AQZKGJ+KOJUz8eKAJZLosl5V3mtVmt6uxaDa7ms2eJM1oW2Pb\nVK+1YpIBmAYcDxxFWBTx6Xh8FDDEOta6WQn8GvgMcBKwDjivjzKHJGTUVKbLcll5D81qs9vldrk9\nbttAtmkLG+utQHyIY4H2GDbFUDreNZFuD2AuwaNuA4okFlPMq0yX5bLyHprVZrfL7XJ73LaBbFM6\nKBrgOI7jOI7jNDGNNKbPcRzHcRzH6SPu9DmO4ziO4wwA3OlzHMdxHMcZALjT5ziO4ziOMwBwp89x\nHMdxHGcA4E6f4ziO4zjOAMCdPsdxHMdxnAGAO32O4ziO4zgDgKZ0+iTNkNSeCCsl/VzS7jWQNV/S\nf/Yi/TGSvtTffOI9syU9njjfR1KhN3n0kH/yGe6VujZa0sWSlkv6i6Q2SddI2jWVbmy8/9Bq6dWN\nvsurnF/y76hX78Zx8kKZ+rAUfl1v3RoJSVMTz25tIr7LOi5xz8ReyEm+o4rvc5xK2KreCtSQPwMH\nxeNxwHnAfZL2MLM3qyjnZOCdXqQ/BhgN/Hs/84Fg0/sS5/sABcKWMNViJnAb8EIpQtKOwEOEv5/z\ngWcJ29d8A3hC0lQze7aKOnSJpGOAF8xsIWAxrgU40Mx+3M/sf0zYXPuKUt6O06Ak68NknNN7jgP+\nUMP8Pwl8HLi8hjKcAUozO33vmtlv4/FvYyvQo8AhBCemKpjZc/XKx8yWVkN2DyxPPMcSVwDbAHuZ\n2aoY95Ck24EngBuAj2WgGwRn9AJJTwPvlfQt4FDg2/3N2MzagDZJ6/qbl+PUmXfLlOOySBpiZhtq\nrVADs7iWH7Vm9ltJQ2uVvzOwacru3S5YHH/HJiMlfUXSM7GLcrmkM1PX95T0K0lrJK2X9KykUxPX\nO3XLStpZ0q2S/kvSW5JelHRevDYbOBKYkmi+PzedT1ddApJGSdoo6R9L+ZW6dyWdAPwoHpfynidp\nj3g8JZXX8GjP/+nNQ5Q0FvgccGnC4QPAzNYB3wUmSdo/deswSVdJel3Sy7HLSYl8Z0haHbuon4jP\n7qHYdbKDpDmS1sV3NTUhc6GZTQPeA+wATAYOMLP5qWd5oKQ7os1/kDRN0nsk/VDSHyW9Iun03jwL\nx2l0El2Tx0m6PnZbzonXtpN0taRXJW2Q9LCkfVL3j5R0UyybKyV9S9JMScsSaWZIWl1Gdruk/52K\n66k+ni3pcUmflbQ4lueHytSVgyWdHcv6X2Kdc128dmrUd1jqnlJd8Vd9fJw9oq672pf1fLfj9J+B\n5PSVxpolx2KcSWi1+hlwGHAl8J1URXQnodv17wjOzmXA8MR1o3PX3/XATsA/AQcTnKD3xmvnAfcD\nTxKa8D8JzCqTz4PAKkJXcJK/iWl+mpIP8AvgB/G4lPepZtYKPAackMrraEJL7w30jv0BAbd3cf2O\nRLokFwJvAF+MMs8FjkqlGQpcTbBjOuGd3QDcCswn2L8SuE3SEABJ/1PSr4B3Cc/sd8B8SQek8r6K\n8Fy/ALwE/GeU9T7gbwmtvz9M/1NznGYhOkJblULq8kxCd+9RwHclbQ3cBxwIfJ1QblYThshsn7jv\nOkI9dzpwEjANOJYth0N0NTxic3yF9bER6oULge8Q6okPALek8r1cqDgkAAAHxklEQVQKmAHcHPM6\nAxgSr90IDGbL+udE4Hdm9lQXuvZEp+cbn/HgVJof01E/fxL4a+CPwPN9lOk4vcPMmi4QCvtqQoHb\nCmgB7gVeB/5HTLMNsB44J3VvkeA8CHg/0A7s2Y2s+cCtifN1wGHdpL8NmFdBPpcArak09wBzEuez\ngccT56cB7WXy/nLUa1gi7sGkvC50bSc4jsm4b8b4Ed3ctxa4PB6Pjelnp9IsBH6SemftwP6JuFNi\n3LcTcXvEuIPi+bHAR+Pxsvj7QeCkeDw1pj+nTB73JeIU3/v3e3o3Hjw0UkiUrXQ4MFE+f5q658vA\n20BLIm4w8CJwYTzfM957dCLNMGANsDQlf3UZvTbXL1RQH8fz2YSP8KRen4957R7PJ8Tz07p5Jv8B\nzE+cD4915Knd3FOqSyam4kvPsLswsYs8bwFeAT5QiSwPHvobmrmlbzShcthIGPe1N3CImZW6GT5F\naFm6LfVldj+wPbAz8CfgZeAqhVm3H6hA7iLg+5K+pNRM1l5yC/BhxVmzkt4PfJotv2gr4db4e3TM\nqwXYj/CVnhXpmYKthGecZKOZPZQ4XxJ/55WJ2wnAzG6xMIkDYquBmS01s6tTec/tLl8zM2ApsGMP\ndjhOI/JnwtCHZEiO8bsrlf6vCa3myxN1owgfi5Njmr3jb6l1HwuT5O6NaXtDJfVxiWVmtiRx3hp/\nS2k+HX9ndyPvGmB/SePi+TGEBoKbeql3ktPZ8hmf3FViSWcRWlCPMrPX+iHXcSqmmZ2+UiX3CeCr\nhEroK4nr74+/zxAcw1KYR3AedjGzdkJ3xavAtcAqSQ9KmtSN3GMJkxkuJlSYCyUd2Af9HwNWxPwg\ndIu+S9fdql1iYazdrYTuCwhdvauAX/VBr7b4O7bcRUnbAtsm0pV4PXW+kc4zjyF8aafTdLrXzEpx\n6Xsxsw+W1bjrPNI6vVMuX8dpAt41sydTYX3i+n+l0r+f0P1Y+nAuhRPocK7GAOsS5anEFuP3KqDH\n+jiRtlxdAh1ldzTwZsq+TlgY87uUjmEvJwK3m1k6797wYvoZ08UsX0nTCEN/Tjezx/oh03F6RbPP\n3n0yHj8uaQNwvaSbzGwuoRUPwniPdIUHsbCa2fPAUZIGAwcAFxC+incqJ9TMVhKdK0mfIHRtzJG0\ni5mtLXdPF/mYpFsJX6D/QnD+fml9X25mFrBA0njgH4DrY+tWb3mQUAkfAZQb+3JEIp3jOI1Bui5Y\nQ/h4LddS9Xb8fRUYIem9Kccv3SPyFzrGNQNhUloqTUX1cen2MteTrCFMHBveneNH+JA/SdKNhJ6P\ng3vItypI+iDwE+A/zOzKLGQ6TolmbunrhJndQPiKLC1e/CiwAdipzBdw+isYM9tkZvcTWvB2kDSy\nApm/IUzeGArsFqM30jGguFPyMnE3Ay2SDic4nDf3IHIjQByEndblUcJg4esIX82ze9K/HGb2EmF2\n3+mSxiSvSRpOWCploZkt6Ev+dcbX4nOcwFxgPPBymbrxmZimtDD8F0o3xTrgs3QuS68QnMPk0Ilp\nKXm9qY97KqelYRtbLIKfYjah1XJW1PHeHtL3mzhj+OeEVsav1lqe46Rp5pa+cpwP3Cjpf5nZAkkz\ngEsl7UZYbHgQsDsw1cyOjOPpZhKcrWXAKOAsYFGqG0CwuWvzHsLCyy8AWxNmja2iY9xJK3CEpM8T\nukDbLCx9IlJfsGb2pKQXCbNM3yLM0O2OkoyvSbofeCO2VJa4BrgIeMTM+rO46KmE5/WYpO9FubsR\nFmceSeKfQIOxxTtwnAHK9YRWvvmSZhLqv9GEBeBXmdklZvaMpDnAlZK2IbT8nQmkeyPuJjh010r6\nIWGx/E4Oj5m93lN9nEjebRk1s+clXQ38II7DfohQL33RzKYn0q2KM/8PA87vY89Hb7mYMJHseOBj\n6li16u3E2GTHqRnN2tKXXkalxC0EZ+xsADO7iLDMwCGEsXI3EZYAKHVNriJUZP8C/JKwQvozdHRh\npmVtIKwH+DXC4ObZhBlp08ys1CVyBWFSw7WEgdT/VIHO2wN3mtlfurMzToK4KMp/jLDkQZLSgOtr\ny8ipmOik7kNYWuGbhC/kCwj2TLawTExazy2yScV3ZX81KuJK86ilDo5TL7r6u05e7xwR6qtPE8p2\nkfAxewlhJYTfJJKeQKjPLiEsR3Iv4SNZibzWEMYk70xo5TouhrTMnurj7mxJx50a9T6eMBznYrZ0\nRqGjTuzvpLZKn++HCLOgbwYeSYSflrnPcaqOsvm4cfKAwqLSFwA79DDWpZS+neBAXmlm79Zav7yh\n8Bk+mNDV9ZqZHV1nlRwn98SWwS+a2bgeE9eZOG56ezObUkHaqYSu40nAM2a2qUY6bQVMITjQH7GM\ntrR0BgbN2tLnJFBYdX8a8C3gukocvgSXAhtLS8cMMAqEcZL74619jtM0SPorSScSFny/tJe3L6Jv\nM5QrZSPB4fM6x6k6A21M30BlBqGbZD5wTi/u25uOiqeWG4znlauIW1LRMbvQcZzu6ak7OQ/MIYxR\nvNzMflbhPU/QsUZhLXs+JieOl3SZynH6gHfvOo7jOI7jDAC8e9dxHMdxHGcA4E6f4ziO4zjOAMCd\nPsdxHMdxnAGAO32O4ziO4zgDAHf6HMdxHMdxBgDu9DmO4ziO4wwA/hsJM5LANJn/jQAAAABJRU5E\nrkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" } ], "source": [ - "simpegmt.Utils.dataUtils.plotMT1DModelData(problem,[m_0,mopt])\n", - "plt.show()\n" + "%matplotlib inline\n", + "fig = simpegmt.Utils.dataUtils.plotMT1DModelData(problem,[m_0,mopt])\n", + "fig.supplot\n", + "plt.show()" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 9, "metadata": { "collapsed": false }, @@ -270,45 +300,15 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [], "source": [ - "%matplotlib qt\n", - "simpegmt.Utils.dataUtils.plotMT1DModelData(problem,modList[-3:-1])\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "array([-6.2146081, -6.2146081, -6.2146081, -6.2146081, -6.2146081,\n", - " -6.2146081, -6.2146081, -6.2146081, -6.2146081, -6.2146081,\n", - " -6.2146081, -6.2146081, -6.2146081, -6.2146081, -6.2146081,\n", - " -6.2146081, -6.2146081, -6.2146081, -6.2146081, -6.2146081,\n", - " -6.2146081, -6.2146081, -6.2146081, -6.2146081, -6.2146081,\n", - " -6.2146081, -6.2146081, -6.2146081, -6.2146081, -6.2146081,\n", - " -6.2146081, -6.2146081, -6.2146081, -6.2146081, -6.2146081,\n", - " -6.2146081, -6.2146081, -6.2146081, -6.2146081, -6.2146081,\n", - " -6.2146081, -6.2146081, -6.2146081, -6.2146081, -6.2146081])" - ] - }, - "execution_count": 10, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "reg.mref" + "# %matplotlib qt\n", + "# simpegmt.Utils.dataUtils.plotMT1DModelData(problem,modList[-3:-1])\n", + "# plt.show()" ] }, { @@ -317,6 +317,28 @@ "metadata": { "collapsed": false }, + "outputs": [ + { + "data": { + "text/plain": [ + "78.694562868192662" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.linalg.norm(mopt - reg.mref)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": false + }, "outputs": [ { "data": { @@ -332,18 +354,18 @@ " -6.2146081, -6.2146081, -6.2146081, -6.2146081, -6.2146081])" ] }, - "execution_count": 11, + "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "m_0" + "reg.mref" ] }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 13, "metadata": { "collapsed": false }, @@ -369,7 +391,7 @@ " -5.82076609e-11])" ] }, - "execution_count": 12, + "execution_count": 13, "metadata": {}, "output_type": "execute_result" } @@ -414,6 +436,160 @@ "m1d.gridN[active]" ] }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "self = reg\n", + "r1 = self.W * ( self.mapping * (m_0) )\n", + "r2 = self.Ws * ( self.mapping * (self.mref) )" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([-6.2146081, -6.2146081, -6.2146081, -6.2146081, -6.2146081,\n", + " -6.2146081, -6.2146081, -6.2146081, -6.2146081, -6.2146081,\n", + " -6.2146081, -6.2146081, -6.2146081, -6.2146081, -6.2146081,\n", + " -6.2146081, -6.2146081, -6.2146081, -6.2146081, -6.2146081,\n", + " -6.2146081, -6.2146081, -6.2146081, -6.2146081, -6.2146081,\n", + " -6.2146081, -6.2146081, -6.2146081, -6.2146081, -6.2146081,\n", + " -6.2146081, -6.2146081, -6.2146081, -6.2146081, -6.2146081,\n", + " -6.2146081, -6.2146081, -6.2146081, -6.2146081, -6.2146081,\n", + " -6.2146081, -6.2146081, -6.2146081, -6.2146081, -6.2146081])" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "( self.mapping * (m_0) )" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "<45x45 sparse matrix of type ''\n", + "\twith 45 stored elements in Compressed Sparse Row format>" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "self.Ws" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "self.mapping" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "-1.7347234759768071e-18" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "0.5*(r1.dot(r1)-r2.dot(r2))" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.029467074824486239" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "r1.dot(r1)" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.029467074824486243" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "r2.dot(r2)" + ] + }, { "cell_type": "code", "execution_count": null, diff --git a/notebooks/scipy2015/MT1Dinversion_Scipy2015_targMisEqnD.ipynb b/notebooks/scipy2015/MT1Dinversion_Scipy2015_targMisEqnD.ipynb index 5f82a465..1465ad0b 100644 --- a/notebooks/scipy2015/MT1Dinversion_Scipy2015_targMisEqnD.ipynb +++ b/notebooks/scipy2015/MT1Dinversion_Scipy2015_targMisEqnD.ipynb @@ -30,23 +30,23 @@ "nFreq = 31\n", "freqs = np.logspace(3,-3,nFreq)\n", "# Set mesh parameters\n", - "ct = 10\n", - "air = simpeg.Utils.meshTensor([(ct,25,1.3)])\n", - "core = np.concatenate( ( np.kron(simpeg.Utils.meshTensor([(ct,5,-1.2)]),np.ones((3,))) , simpeg.Utils.meshTensor([(ct,5)]) ) )\n", - "bot = simpeg.Utils.meshTensor([(core[0],25,-1.3)])\n", + "ct = 20\n", + "air = simpeg.Utils.meshTensor([(ct,16,1.4)])\n", + "core = np.concatenate( ( np.kron(simpeg.Utils.meshTensor([(ct,10,-1.3)]),np.ones((5,))) , simpeg.Utils.meshTensor([(ct,5)]) ) )\n", + "bot = simpeg.Utils.meshTensor([(core[0],10,-1.4)])\n", "x0 = -np.array([np.sum(np.concatenate((core,bot)))])\n", "# Make the model\n", "m1d = simpeg.Mesh.TensorMesh([np.concatenate((bot,core,air))], x0=x0)\n", "\n", "# Setup model varibles\n", "active = m1d.vectorCCx<0.\n", - "layer1 = (m1d.vectorCCx<-200.) & (m1d.vectorCCx>=-600.)\n", - "layer2 = (m1d.vectorCCx<-2000.) & (m1d.vectorCCx>=-4000.)\n", + "layer1 = (m1d.vectorCCx<-500.) & (m1d.vectorCCx>=-800.)\n", + "layer2 = (m1d.vectorCCx<-3500.) & (m1d.vectorCCx>=-5000.)\n", "# Set the conductivity values\n", "sig_half = 2e-3\n", "sig_air = 1e-8\n", - "sig_layer1 = 1\n", - "sig_layer2 = .1\n", + "sig_layer1 = .2\n", + "sig_layer2 = .2\n", "# Make the true model\n", "sigma_true = np.ones(m1d.nCx)*sig_air\n", "sigma_true[active] = sig_half\n", @@ -109,19 +109,19 @@ "else:\n", " d_true = survey.dpred(m_true)\n", " np.save('MT1D_dtrue.npy',d_true)\n", - " d_obs = std*abs(d_true)*np.random.randn(*d_true.shape)\n", + " d_obs = d_true + std*abs(d_true)*np.random.randn(*d_true.shape)\n", " np.save('MT1D_dobs.npy',d_obs)\n", "# Assign the dobs\n", "survey.dtrue = d_true\n", "survey.dobs = d_obs\n", - "survey.std = survey.dobs*0 + std\n", + "survey.std = np.abs(survey.dobs*std) + 0.01*np.linalg.norm(survey.dobs) #survey.dobs*0 + std\n", "# Assign the data weight\n", - "survey.Wd = 1/(abs(survey.dobs)*survey.std)" + "survey.Wd = 1/survey.std #(abs(survey.dobs)*survey.std)" ] }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 5, "metadata": { "collapsed": false }, @@ -140,14 +140,14 @@ "dmis = simpeg.DataMisfit.l2_DataMisfit(survey)\n", "# Regularization\n", "# Either have to use \n", - "if False:\n", + "if True:\n", " regMesh = simpeg.Mesh.TensorMesh([m1d.hx[problem.mapping.sigmaMap.maps[-1].indActive]],m1d.x0)\n", " reg = simpeg.Regularization.Tikhonov(regMesh)\n", "else:\n", " reg = simpeg.Regularization.Tikhonov(m1d,mapping=mappingExpAct)\n", - "reg.alpha_s = 1e-6\n", + "reg.smoothModel = True\n", + "reg.alpha_s = 1e-7\n", "reg.alpha_x = 1.\n", - "\n", "# Inversion problem\n", "invProb = simpeg.InvProblem.BaseInvProblem(dmis, reg, opt)\n", "invProb.counter = C\n", @@ -155,15 +155,16 @@ "beta = simpeg.Directives.BetaSchedule()\n", "betaest = simpeg.Directives.BetaEstimate_ByEig(beta0_ratio=0.75)\n", "targmis = simpeg.Directives.TargetMisfit()\n", + "targmis.target = 1/2 * survey.nD\n", "saveModel = simpeg.Directives.SaveModelEveryIteration()\n", - "saveModel.fileName = 'Inversion_TargMisEqnD'\n", + "saveModel.fileName = 'Inversion_TargMisEqnD_smoothTrue'\n", "# Create an inversion object\n", "inv = simpeg.Inversion.BaseInversion(invProb, directiveList=[beta,betaest,targmis,saveModel]) \n" ] }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 6, "metadata": { "collapsed": false, "scrolled": false @@ -177,85 +178,355 @@ "SimPEG.InvProblem is setting bfgsH0 to the inverse of the eval2Deriv.\n", " ***Done using same solver as the problem***\n", "SimPEG.l2_DataMisfit is creating default weightings for Wd.\n", - "SimPEG.SaveModelEveryIteration will save your models as: '###-Inversion_TargMisEqnD.npy'\n", + "SimPEG.SaveModelEveryIteration will save your models as: '###-Inversion_TargMisEqnD_smoothTrue.npy'\n", "============================ Inexact Gauss Newton ============================\n", " # beta phi_d phi_m f |proj(x-g)-x| LS Comment \n", "-----------------------------------------------------------------------------\n", - " 0 7.52e+05 1.32e+06 4.79e-07 1.32e+06 3.23e+05 0 \n", - " 1 7.52e+05 1.91e+05 1.61e-06 1.91e+05 4.88e+04 0 \n", - " 2 7.52e+05 8.47e+04 3.06e-06 8.47e+04 2.41e+04 0 Skip BFGS \n", - " 3 9.41e+04 7.39e+04 3.58e-06 7.39e+04 2.12e+04 0 Skip BFGS \n", - " 4 9.41e+04 4.00e+04 7.90e-06 4.00e+04 1.19e+04 0 Skip BFGS \n", - " 5 9.41e+04 3.37e+04 1.00e-05 3.37e+04 1.02e+04 0 Skip BFGS \n", - " 6 1.18e+04 3.00e+04 1.18e-05 3.00e+04 9.10e+03 0 Skip BFGS \n", - " 7 1.18e+04 1.71e+04 2.61e-05 1.71e+04 5.44e+03 0 Skip BFGS \n", - " 8 1.18e+04 1.41e+04 3.38e-05 1.41e+04 4.61e+03 0 Skip BFGS \n", - " 9 1.47e+03 1.25e+04 4.02e-05 1.25e+04 4.12e+03 0 Skip BFGS \n", - " 10 1.47e+03 6.91e+03 8.84e-05 6.91e+03 2.48e+03 0 Skip BFGS \n", - " 11 1.47e+03 5.65e+03 1.15e-04 5.65e+03 2.09e+03 0 Skip BFGS \n", - " 12 1.84e+02 4.93e+03 1.36e-04 4.93e+03 1.87e+03 0 Skip BFGS \n", - " 13 1.84e+02 2.73e+03 2.85e-04 2.73e+03 1.14e+03 0 Skip BFGS \n", - " 14 1.84e+02 2.22e+03 3.66e-04 2.22e+03 9.55e+02 0 Skip BFGS \n", - " 15 2.30e+01 1.95e+03 4.32e-04 1.95e+03 8.48e+02 0 Skip BFGS \n", - " 16 2.30e+01 1.16e+03 8.20e-04 1.16e+03 5.20e+02 0 Skip BFGS \n", - " 17 2.30e+01 9.61e+02 1.03e-03 9.61e+02 4.28e+02 0 Skip BFGS \n", - " 18 2.87e+00 8.51e+02 1.19e-03 8.51e+02 3.75e+02 0 Skip BFGS \n", - " 19 2.87e+00 5.60e+02 2.03e-03 5.60e+02 2.24e+02 0 Skip BFGS \n", - " 20 2.87e+00 4.64e+02 2.44e-03 4.64e+02 1.82e+02 0 Skip BFGS \n", - " 21 3.59e-01 4.09e+02 2.74e-03 4.09e+02 1.59e+02 0 Skip BFGS \n", - " 22 3.59e-01 2.75e+02 3.99e-03 2.75e+02 1.10e+02 0 Skip BFGS \n", - " 23 3.59e-01 2.28e+02 4.59e-03 2.28e+02 8.98e+01 0 \n", - " 24 4.48e-02 1.85e+02 4.88e-03 1.85e+02 8.62e+01 0 Skip BFGS \n", - " 25 4.48e-02 1.26e+02 6.70e-03 1.26e+02 7.39e+01 0 Skip BFGS \n", - " 26 4.48e-02 8.27e+01 7.76e-03 8.27e+01 5.01e+01 0 \n", - " 27 5.61e-03 6.54e+01 8.37e-03 6.54e+01 5.22e+01 1 \n", + " 0 3.72e+05 2.18e+05 0.00e+00 2.18e+05 4.01e+04 0 \n", + " 1 3.72e+05 2.50e+04 2.19e-03 2.58e+04 5.62e+03 0 \n", + " 2 3.72e+05 3.39e+03 4.60e-03 5.10e+03 1.01e+03 0 Skip BFGS \n", + " 3 4.65e+04 1.91e+03 4.23e-03 2.10e+03 3.07e+02 0 Skip BFGS \n", + " 4 4.65e+04 1.18e+03 1.15e-02 1.72e+03 1.62e+02 0 Skip BFGS \n", + " 5 4.65e+04 1.00e+03 1.30e-02 1.60e+03 8.35e+01 0 \n", + " 6 5.81e+03 8.78e+02 1.50e-02 9.66e+02 1.87e+02 0 Skip BFGS \n", + " 7 5.81e+03 3.96e+02 5.56e-02 7.19e+02 2.51e+02 0 \n", + " 8 5.81e+03 3.44e+02 3.87e-02 5.69e+02 1.35e+02 1 \n", + " 9 7.26e+02 2.93e+02 4.41e-02 3.25e+02 9.13e+01 0 Skip BFGS \n", + " 10 7.26e+02 2.41e+02 6.62e-02 2.89e+02 1.21e+02 1 \n", + " 11 7.26e+02 1.47e+02 1.33e-01 2.44e+02 1.94e+02 0 \n", + " 12 9.08e+01 1.35e+02 1.15e-01 1.45e+02 7.35e+01 0 \n", + " 13 9.08e+01 8.40e+01 2.31e-01 1.05e+02 1.27e+02 0 \n", + " 14 9.08e+01 7.09e+01 2.78e-01 9.61e+01 7.14e+01 0 \n", + " 15 1.13e+01 6.65e+01 2.55e-01 6.94e+01 2.89e+01 0 \n", + " 16 1.13e+01 6.41e+01 3.38e-01 6.80e+01 5.48e+01 0 \n", + " 17 1.13e+01 5.44e+01 3.65e-01 5.85e+01 2.19e+01 0 \n", + " 18 1.42e+00 5.04e+01 4.33e-01 5.10e+01 7.08e+01 0 Skip BFGS \n", + " 19 1.42e+00 4.76e+01 4.52e-01 4.82e+01 1.68e+01 0 \n", + " 20 1.42e+00 4.62e+01 4.72e-01 4.69e+01 1.39e+01 0 \n", + " 21 1.77e-01 4.61e+01 4.68e-01 4.62e+01 1.08e+01 0 \n", + " 22 1.77e-01 4.54e+01 4.44e-01 4.55e+01 3.34e+01 0 Skip BFGS \n", + " 23 1.77e-01 4.40e+01 4.46e-01 4.41e+01 1.57e+01 0 \n", + " 24 2.22e-02 4.20e+01 3.77e-01 4.20e+01 2.55e+01 2 \n", + " 25 2.22e-02 4.03e+01 3.16e-01 4.03e+01 2.54e+01 0 \n", + " 26 2.22e-02 3.99e+01 3.82e-01 3.99e+01 2.41e+01 0 \n", + " 27 2.77e-03 3.93e+01 3.49e-01 3.93e+01 3.42e+01 3 Skip BFGS \n", + " 28 2.77e-03 3.88e+01 4.32e-01 3.88e+01 2.44e+01 0 \n", + " 29 2.77e-03 3.87e+01 4.49e-01 3.87e+01 3.02e+01 2 Skip BFGS \n", + " 30 3.46e-04 3.86e+01 4.63e-01 3.86e+01 2.54e+01 0 \n", + " 31 3.46e-04 3.86e+01 4.39e-01 3.86e+01 2.32e+01 0 \n", + " 32 3.46e-04 3.84e+01 4.42e-01 3.84e+01 2.16e+01 1 Skip BFGS \n", + " 33 4.33e-05 3.84e+01 4.54e-01 3.84e+01 2.25e+01 0 Skip BFGS \n", + " 34 4.33e-05 3.83e+01 4.44e-01 3.83e+01 2.15e+01 0 \n", + " 35 4.33e-05 3.72e+01 4.57e-01 3.72e+01 1.65e+01 0 \n", + " 36 5.41e-06 3.64e+01 4.85e-01 3.64e+01 2.32e+01 1 Skip BFGS \n", + " 37 5.41e-06 3.61e+01 4.70e-01 3.61e+01 2.34e+01 2 \n", + " 38 5.41e-06 3.56e+01 4.35e-01 3.56e+01 2.75e+01 2 Skip BFGS \n", + " 39 6.76e-07 3.56e+01 4.43e-01 3.56e+01 2.21e+01 0 \n", + " 40 6.76e-07 3.55e+01 4.44e-01 3.55e+01 2.07e+01 2 \n", + " 41 6.76e-07 3.50e+01 4.62e-01 3.50e+01 2.21e+01 2 Skip BFGS \n", + " 42 8.45e-08 3.49e+01 4.41e-01 3.49e+01 2.31e+01 2 \n", + " 43 8.45e-08 3.28e+01 4.83e-01 3.28e+01 3.06e+01 0 Skip BFGS \n", + " 44 8.45e-08 3.22e+01 5.30e-01 3.22e+01 2.44e+01 1 Skip BFGS \n", + " 45 1.06e-08 3.19e+01 5.73e-01 3.19e+01 1.06e+01 0 Skip BFGS \n", + " 46 1.06e-08 3.18e+01 5.27e-01 3.18e+01 1.20e+01 1 \n", + " 47 1.06e-08 3.17e+01 4.59e-01 3.17e+01 9.10e+00 0 Skip BFGS \n", + " 48 1.32e-09 3.17e+01 5.04e-01 3.17e+01 1.08e+01 2 \n", + " 49 1.32e-09 3.16e+01 5.22e-01 3.16e+01 9.32e+00 0 \n", + " 50 1.32e-09 3.13e+01 4.58e-01 3.13e+01 1.42e+01 1 \n", "------------------------- STOP! -------------------------\n", - "1 : |fc-fOld| = 0.0000e+00 <= tolF*(1+|f0|) = 1.3164e+05\n", - "0 : |xc-x_last| = 5.4748e+00 <= tolX*(1+|x0|) = 4.2689e+00\n", - "0 : |proj(x-g)-x| = 5.2197e+01 <= tolG = 1.0000e-01\n", - "0 : |proj(x-g)-x| = 5.2197e+01 <= 1e3*eps = 1.0000e-02\n", - "0 : maxIter = 50 <= iter = 28\n", - "------------------------- DONE! -------------------------\n" + "1 : |fc-fOld| = 3.0199e-01 <= tolF*(1+|f0|) = 2.1833e+04\n", + "1 : |xc-x_last| = 4.2553e+00 <= tolX*(1+|x0|) = 5.1104e+00\n", + "0 : |proj(x-g)-x| = 1.4222e+01 <= tolG = 1.0000e-01\n", + "0 : |proj(x-g)-x| = 1.4222e+01 <= 1e3*eps = 1.0000e-02\n", + "1 : maxIter = 50 <= iter = 50\n", + "------------------------- DONE! -------------------------\n", + "SimPEG.InvProblem is setting bfgsH0 to the inverse of the eval2Deriv.\n", + " ***Done using same solver as the problem***\n", + "SimPEG.SaveModelEveryIteration will save your models as: '###-Inversion_TargMisEqnD_smoothTrue.npy'\n", + "============================ Inexact Gauss Newton ============================\n", + " # beta phi_d phi_m f |proj(x-g)-x| LS Comment \n", + "-----------------------------------------------------------------------------\n", + " 0 1.70e+05 2.18e+05 0.00e+00 2.18e+05 4.01e+04 0 \n", + " 1 1.70e+05 2.50e+04 2.22e-03 2.53e+04 5.66e+03 0 \n", + " 2 1.70e+05 3.35e+03 4.85e-03 4.18e+03 9.85e+02 0 Skip BFGS \n", + " 3 2.13e+04 1.64e+03 5.93e-03 1.77e+03 2.67e+02 0 Skip BFGS \n", + " 4 2.13e+04 8.27e+02 2.45e-02 1.35e+03 2.67e+02 0 \n", + " 5 2.13e+04 7.95e+02 1.83e-02 1.18e+03 1.28e+02 0 \n", + " 6 2.66e+03 7.09e+02 2.17e-02 7.67e+02 1.49e+02 0 \n", + " 7 2.66e+03 4.57e+02 7.33e-02 6.52e+02 2.10e+02 0 \n", + " 8 2.66e+03 4.28e+02 5.88e-02 5.84e+02 1.75e+02 1 \n", + " 9 3.32e+02 3.56e+02 7.66e-02 3.82e+02 1.12e+02 0 \n", + " 10 3.32e+02 2.71e+02 1.23e-01 3.12e+02 1.62e+02 1 \n", + " 11 3.32e+02 2.06e+02 1.90e-01 2.69e+02 1.31e+02 1 \n", + " 12 4.15e+01 1.69e+02 2.30e-01 1.79e+02 1.30e+02 1 \n", + " 13 4.15e+01 1.53e+02 6.02e-01 1.78e+02 2.84e+02 0 Skip BFGS \n", + " 14 4.15e+01 1.08e+02 4.27e-01 1.26e+02 1.01e+02 0 \n", + " 15 5.19e+00 7.04e+01 5.63e-01 7.33e+01 7.23e+01 0 \n", + " 16 5.19e+00 6.28e+01 6.89e-01 6.64e+01 1.31e+02 1 Skip BFGS \n", + " 17 5.19e+00 5.21e+01 9.36e-01 5.70e+01 1.20e+02 0 Skip BFGS \n", + " 18 6.49e-01 4.37e+01 9.80e-01 4.43e+01 7.78e+00 0 Skip BFGS \n", + " 19 6.49e-01 4.28e+01 1.10e+00 4.35e+01 1.60e+01 0 \n", + " 20 6.49e-01 4.27e+01 1.18e+00 4.35e+01 1.31e+01 0 \n", + " 21 8.11e-02 4.27e+01 1.23e+00 4.28e+01 1.39e+01 2 Skip BFGS \n", + " 22 8.11e-02 4.26e+01 1.20e+00 4.27e+01 1.26e+01 2 \n", + " 23 8.11e-02 4.16e+01 1.47e+00 4.17e+01 1.59e+01 2 \n", + " 24 1.01e-02 4.13e+01 1.38e+00 4.13e+01 3.20e+01 0 Skip BFGS \n", + " 25 1.01e-02 4.10e+01 1.37e+00 4.10e+01 1.70e+01 0 \n", + " 26 1.01e-02 4.04e+01 1.44e+00 4.05e+01 2.21e+01 1 Skip BFGS \n", + " 27 1.27e-03 4.01e+01 1.33e+00 4.01e+01 2.03e+01 2 \n", + " 28 1.27e-03 4.00e+01 1.49e+00 4.00e+01 2.19e+01 0 \n", + " 29 1.27e-03 4.00e+01 1.48e+00 4.00e+01 2.50e+01 2 \n", + " 30 1.58e-04 4.00e+01 1.49e+00 4.00e+01 2.38e+01 2 \n", + " 31 1.58e-04 3.99e+01 1.44e+00 3.99e+01 2.75e+01 2 \n", + " 32 1.58e-04 3.97e+01 1.64e+00 3.97e+01 2.91e+01 1 \n", + " 33 1.98e-05 3.93e+01 1.79e+00 3.93e+01 3.19e+01 3 Skip BFGS \n", + " 34 1.98e-05 3.90e+01 2.03e+00 3.90e+01 3.42e+01 2 Skip BFGS \n", + " 35 1.98e-05 3.88e+01 2.44e+00 3.88e+01 3.22e+01 1 Skip BFGS \n", + " 36 2.47e-06 3.86e+01 1.90e+00 3.86e+01 1.92e+01 0 \n", + " 37 2.47e-06 3.85e+01 2.26e+00 3.85e+01 2.25e+01 2 \n", + " 38 2.47e-06 3.84e+01 2.25e+00 3.84e+01 2.03e+01 0 Skip BFGS \n", + " 39 3.09e-07 3.84e+01 2.36e+00 3.84e+01 2.10e+01 0 \n", + " 40 3.09e-07 3.84e+01 2.49e+00 3.84e+01 2.08e+01 2 Skip BFGS \n", + " 41 3.09e-07 3.84e+01 2.37e+00 3.84e+01 2.08e+01 1 \n", + " 42 3.87e-08 3.78e+01 2.59e+00 3.78e+01 1.62e+01 1 Skip BFGS \n", + " 43 3.87e-08 3.77e+01 2.62e+00 3.77e+01 1.14e+01 0 Skip BFGS \n", + " 44 3.87e-08 3.76e+01 2.83e+00 3.76e+01 1.67e+01 3 \n", + " 45 4.83e-09 3.75e+01 2.80e+00 3.75e+01 2.17e+01 2 Skip BFGS \n", + " 46 4.83e-09 3.73e+01 2.73e+00 3.73e+01 1.19e+01 0 \n", + " 47 4.83e-09 3.71e+01 2.46e+00 3.71e+01 1.67e+01 2 \n", + " 48 6.04e-10 3.71e+01 2.33e+00 3.71e+01 1.45e+01 0 \n", + " 49 6.04e-10 3.71e+01 2.46e+00 3.71e+01 1.85e+01 1 \n", + " 50 6.04e-10 3.70e+01 2.39e+00 3.70e+01 1.99e+01 3 Skip BFGS \n", + "------------------------- STOP! -------------------------\n", + "1 : |fc-fOld| = 2.5694e-02 <= tolF*(1+|f0|) = 2.1833e+04\n", + "1 : |xc-x_last| = 1.9839e+00 <= tolX*(1+|x0|) = 5.1104e+00\n", + "0 : |proj(x-g)-x| = 1.9850e+01 <= tolG = 1.0000e-01\n", + "0 : |proj(x-g)-x| = 1.9850e+01 <= 1e3*eps = 1.0000e-02\n", + "1 : maxIter = 50 <= iter = 50\n", + "------------------------- DONE! -------------------------\n", + "SimPEG.InvProblem is setting bfgsH0 to the inverse of the eval2Deriv.\n", + " ***Done using same solver as the problem***\n", + "SimPEG.SaveModelEveryIteration will save your models as: '###-Inversion_TargMisEqnD_smoothTrue.npy'\n", + "============================ Inexact Gauss Newton ============================\n", + " # beta phi_d phi_m f |proj(x-g)-x| LS Comment \n", + "-----------------------------------------------------------------------------\n", + " 0 1.19e+05 2.18e+05 0.00e+00 2.18e+05 4.01e+04 0 Skip BFGS \n", + " 1 1.19e+05 2.50e+04 2.22e-03 2.52e+04 5.67e+03 0 Skip BFGS \n", + " 2 1.19e+05 3.35e+03 4.92e-03 3.93e+03 9.84e+02 0 Skip BFGS \n", + " 3 1.49e+04 1.53e+03 7.13e-03 1.63e+03 2.55e+02 0 Skip BFGS \n", + " 4 1.49e+04 7.29e+02 3.29e-02 1.22e+03 2.94e+02 0 \n", + " 5 1.49e+04 6.80e+02 2.16e-02 1.00e+03 1.41e+02 0 \n", + " 6 1.86e+03 6.17e+02 2.45e-02 6.63e+02 1.44e+02 0 \n", + " 7 1.86e+03 4.77e+02 7.62e-02 6.19e+02 2.19e+02 0 \n", + " 8 1.86e+03 4.43e+02 6.42e-02 5.63e+02 2.03e+02 1 \n", + " 9 2.32e+02 3.74e+02 8.67e-02 3.94e+02 1.32e+02 0 \n", + " 10 2.32e+02 2.67e+02 1.91e-01 3.11e+02 1.89e+02 1 \n", + " 11 2.32e+02 1.29e+02 5.16e-01 2.49e+02 1.79e+02 0 Skip BFGS \n", + " 12 2.91e+01 1.32e+02 3.87e-01 1.43e+02 1.57e+02 1 \n", + " 13 2.91e+01 1.11e+02 6.45e-01 1.30e+02 1.91e+02 1 \n", + " 14 2.91e+01 6.74e+01 9.75e-01 9.57e+01 1.25e+02 0 Skip BFGS \n", + " 15 3.63e+00 5.28e+01 1.03e+00 5.66e+01 1.14e+01 0 Skip BFGS \n", + " 16 3.63e+00 4.93e+01 1.04e+00 5.31e+01 3.75e+01 1 Skip BFGS \n", + " 17 3.63e+00 4.65e+01 1.16e+00 5.07e+01 8.86e+01 0 \n", + " 18 4.54e-01 4.36e+01 1.16e+00 4.42e+01 5.66e+01 0 \n", + " 19 4.54e-01 4.18e+01 1.21e+00 4.23e+01 5.22e+01 1 Skip BFGS \n", + " 20 4.54e-01 3.95e+01 1.24e+00 4.01e+01 1.23e+01 0 \n", + " 21 5.68e-02 3.93e+01 1.26e+00 3.94e+01 1.03e+01 0 \n", + " 22 5.68e-02 3.92e+01 1.29e+00 3.93e+01 9.85e+00 0 \n", + " 23 5.68e-02 3.89e+01 1.44e+00 3.90e+01 1.92e+01 1 Skip BFGS \n", + " 24 7.09e-03 3.87e+01 1.36e+00 3.87e+01 1.35e+01 0 \n", + " 25 7.09e-03 3.86e+01 1.34e+00 3.86e+01 1.28e+01 0 Skip BFGS \n", + " 26 7.09e-03 3.85e+01 1.36e+00 3.85e+01 1.29e+01 0 \n", + " 27 8.87e-04 3.79e+01 1.32e+00 3.79e+01 1.64e+01 1 Skip BFGS \n", + " 28 8.87e-04 3.79e+01 1.30e+00 3.79e+01 1.60e+01 0 \n", + " 29 8.87e-04 3.79e+01 1.22e+00 3.79e+01 2.12e+01 0 Skip BFGS \n", + " 30 1.11e-04 3.77e+01 1.26e+00 3.77e+01 1.51e+01 0 \n", + " 31 1.11e-04 3.77e+01 1.24e+00 3.77e+01 1.43e+01 0 Skip BFGS \n", + " 32 1.11e-04 3.76e+01 1.24e+00 3.76e+01 1.51e+01 0 \n", + " 33 1.39e-05 3.75e+01 1.29e+00 3.75e+01 1.85e+01 2 Skip BFGS \n", + " 34 1.39e-05 3.75e+01 1.24e+00 3.75e+01 1.58e+01 1 \n", + " 35 1.39e-05 3.75e+01 1.17e+00 3.75e+01 1.76e+01 1 Skip BFGS \n", + " 36 1.73e-06 3.75e+01 1.24e+00 3.75e+01 1.61e+01 1 \n", + " 37 1.73e-06 3.74e+01 1.41e+00 3.74e+01 1.76e+01 3 Skip BFGS \n", + " 38 1.73e-06 3.74e+01 1.37e+00 3.74e+01 1.76e+01 2 \n", + " 39 2.17e-07 3.73e+01 1.45e+00 3.73e+01 2.92e+01 1 Skip BFGS \n", + " 40 2.17e-07 3.71e+01 1.51e+00 3.71e+01 2.50e+01 1 \n", + " 41 2.17e-07 3.70e+01 1.46e+00 3.70e+01 3.25e+01 0 \n", + " 42 2.71e-08 3.67e+01 1.40e+00 3.67e+01 3.70e+01 2 Skip BFGS \n", + " 43 2.71e-08 3.67e+01 1.39e+00 3.67e+01 3.64e+01 2 Skip BFGS \n", + " 44 2.71e-08 3.66e+01 1.40e+00 3.66e+01 3.47e+01 2 \n", + " 45 3.38e-09 3.62e+01 1.30e+00 3.62e+01 2.46e+01 1 Skip BFGS \n", + " 46 3.38e-09 3.61e+01 1.24e+00 3.61e+01 1.97e+01 1 Skip BFGS \n", + " 47 3.38e-09 3.61e+01 1.28e+00 3.61e+01 2.11e+01 1 \n", + " 48 4.23e-10 3.60e+01 1.28e+00 3.60e+01 1.81e+01 0 Skip BFGS \n", + " 49 4.23e-10 3.60e+01 1.26e+00 3.60e+01 1.81e+01 1 \n", + " 50 4.23e-10 3.59e+01 1.27e+00 3.59e+01 1.80e+01 1 \n", + "------------------------- STOP! -------------------------\n", + "1 : |fc-fOld| = 1.8765e-02 <= tolF*(1+|f0|) = 2.1833e+04\n", + "1 : |xc-x_last| = 4.3809e-01 <= tolX*(1+|x0|) = 5.1104e+00\n", + "0 : |proj(x-g)-x| = 1.8033e+01 <= tolG = 1.0000e-01\n", + "0 : |proj(x-g)-x| = 1.8033e+01 <= 1e3*eps = 1.0000e-02\n", + "1 : maxIter = 50 <= iter = 50\n", + "------------------------- DONE! -------------------------\n", + "SimPEG.InvProblem is setting bfgsH0 to the inverse of the eval2Deriv.\n", + " ***Done using same solver as the problem***\n", + "SimPEG.SaveModelEveryIteration will save your models as: '###-Inversion_TargMisEqnD_smoothTrue.npy'\n", + "============================ Inexact Gauss Newton ============================\n", + " # beta phi_d phi_m f |proj(x-g)-x| LS Comment \n", + "-----------------------------------------------------------------------------\n", + " 0 2.04e+05 2.18e+05 0.00e+00 2.18e+05 4.01e+04 0 \n", + " 1 2.04e+05 2.50e+04 2.21e-03 2.54e+04 5.65e+03 0 \n", + " 2 2.04e+05 3.36e+03 4.81e-03 4.34e+03 9.87e+02 0 Skip BFGS \n", + " 3 2.55e+04 1.70e+03 5.43e-03 1.84e+03 2.74e+02 0 Skip BFGS \n", + " 4 2.55e+04 8.94e+02 2.07e-02 1.42e+03 2.45e+02 0 \n", + " 5 2.55e+04 8.27e+02 1.76e-02 1.28e+03 1.27e+02 0 \n", + " 6 3.19e+03 7.66e+02 1.96e-02 8.29e+02 1.52e+02 0 \n", + " 7 3.19e+03 4.82e+02 7.40e-02 7.18e+02 2.52e+02 0 \n", + " 8 3.19e+03 4.13e+02 6.65e-02 6.25e+02 1.58e+02 0 \n", + " 9 3.98e+02 3.81e+02 7.32e-02 4.11e+02 1.43e+02 0 \n", + " 10 3.98e+02 2.69e+02 1.28e-01 3.20e+02 1.49e+02 1 \n", + " 11 3.98e+02 2.01e+02 2.10e-01 2.84e+02 1.84e+02 0 \n", + " 12 4.98e+01 1.66e+02 2.25e-01 1.78e+02 1.25e+02 0 \n", + " 13 4.98e+01 1.28e+02 3.65e-01 1.46e+02 9.89e+01 0 \n", + " 14 4.98e+01 1.05e+02 4.50e-01 1.27e+02 1.64e+02 1 \n", + " 15 6.23e+00 6.86e+01 5.39e-01 7.19e+01 1.64e+02 0 Skip BFGS \n", + " 16 6.23e+00 4.97e+01 5.96e-01 5.34e+01 1.16e+01 0 Skip BFGS \n", + " 17 6.23e+00 4.83e+01 6.74e-01 5.25e+01 1.77e+01 0 Skip BFGS \n", + " 18 7.78e-01 4.76e+01 6.83e-01 4.81e+01 8.50e+00 0 \n", + " 19 7.78e-01 4.67e+01 7.68e-01 4.73e+01 6.91e+00 0 Skip BFGS \n", + " 20 7.78e-01 4.65e+01 7.23e-01 4.71e+01 3.93e+01 0 \n", + " 21 9.73e-02 4.58e+01 8.12e-01 4.59e+01 5.65e+01 2 \n", + " 22 9.73e-02 4.55e+01 7.62e-01 4.55e+01 3.81e+01 0 \n", + " 23 9.73e-02 4.52e+01 6.89e-01 4.53e+01 3.60e+01 2 \n", + " 24 1.22e-02 4.48e+01 7.67e-01 4.48e+01 3.68e+01 1 \n", + " 25 1.22e-02 4.46e+01 7.74e-01 4.46e+01 3.70e+01 3 \n", + " 26 1.22e-02 4.45e+01 7.45e-01 4.45e+01 4.29e+01 2 \n", + " 27 1.52e-03 4.43e+01 7.79e-01 4.43e+01 4.13e+01 2 \n", + " 28 1.52e-03 4.39e+01 7.69e-01 4.39e+01 4.83e+01 2 \n", + " 29 1.52e-03 4.38e+01 7.82e-01 4.38e+01 6.21e+01 0 Skip BFGS \n", + " 30 1.90e-04 4.36e+01 7.74e-01 4.36e+01 5.22e+01 1 \n", + " 31 1.90e-04 4.36e+01 7.93e-01 4.36e+01 5.35e+01 2 \n", + " 32 1.90e-04 4.31e+01 7.77e-01 4.31e+01 5.43e+01 1 \n", + " 33 2.38e-05 4.11e+01 8.44e-01 4.11e+01 2.16e+01 0 \n", + " 34 2.38e-05 4.05e+01 9.56e-01 4.05e+01 2.25e+01 0 \n", + " 35 2.38e-05 4.03e+01 9.07e-01 4.03e+01 1.80e+01 1 \n", + " 36 2.97e-06 4.03e+01 8.80e-01 4.03e+01 2.09e+01 3 \n", + " 37 2.97e-06 4.03e+01 8.13e-01 4.03e+01 2.11e+01 2 Skip BFGS \n", + " 38 2.97e-06 4.01e+01 8.53e-01 4.01e+01 2.04e+01 2 \n", + " 39 3.71e-07 4.00e+01 8.76e-01 4.00e+01 1.56e+01 0 \n", + " 40 3.71e-07 3.99e+01 9.15e-01 3.99e+01 1.25e+01 0 \n", + " 41 3.71e-07 3.94e+01 9.05e-01 3.94e+01 1.02e+01 1 \n", + " 42 4.64e-08 3.92e+01 9.48e-01 3.92e+01 8.52e+00 0 Skip BFGS \n", + " 43 4.64e-08 3.91e+01 8.92e-01 3.91e+01 4.37e+00 0 \n", + " 44 4.64e-08 3.89e+01 9.26e-01 3.89e+01 1.63e+01 1 \n", + " 45 5.80e-09 3.88e+01 8.77e-01 3.88e+01 1.21e+01 0 \n", + " 46 5.80e-09 3.88e+01 9.08e-01 3.88e+01 1.54e+01 0 \n", + " 47 5.80e-09 3.83e+01 7.94e-01 3.83e+01 1.77e+01 0 \n", + " 48 7.25e-10 3.81e+01 8.11e-01 3.81e+01 1.68e+01 1 \n", + " 49 7.25e-10 3.81e+01 7.94e-01 3.81e+01 1.47e+01 0 \n", + " 50 7.25e-10 3.80e+01 8.16e-01 3.80e+01 1.90e+01 3 Skip BFGS \n", + "------------------------- STOP! -------------------------\n", + "1 : |fc-fOld| = 1.5226e-01 <= tolF*(1+|f0|) = 2.1833e+04\n", + "1 : |xc-x_last| = 1.1100e+00 <= tolX*(1+|x0|) = 5.1104e+00\n", + "0 : |proj(x-g)-x| = 1.8975e+01 <= tolG = 1.0000e-01\n", + "0 : |proj(x-g)-x| = 1.8975e+01 <= 1e3*eps = 1.0000e-02\n", + "1 : maxIter = 50 <= iter = 50\n", + "------------------------- DONE! -------------------------\n", + "1 loops, best of 3: 20min 52s per loop\n" ] } ], "source": [ + "%%timeit\n", "# Run the inversion, given the background model as a start.\n", "mopt = inv.run(m_0)" ] }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { - "data": { - "image/png": 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+m4YNadChA/3+9KcKH6cqy8jIICYmhmbNmpVeWAgRcP5cB4wxNYArgUk4d11m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\nc4JxWEdY97UPcJCZZdMMHyWMLN2Y65ndBWwFbAf8H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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" + "ename": "NameError", + "evalue": "name 'mopt' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[1;31mNameError\u001b[0m Traceback (most recent call last)", + "\u001b[1;32m\u001b[0m in \u001b[0;36m\u001b[1;34m()\u001b[0m\n\u001b[0;32m 1\u001b[0m \u001b[0mget_ipython\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mmagic\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34mu'matplotlib inline'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m----> 2\u001b[1;33m \u001b[0mfig\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0msimpegmt\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mUtils\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mdataUtils\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mplotMT1DModelData\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mproblem\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mm_0\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mmopt\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 3\u001b[0m \u001b[0mfig\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0msuptitle\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m'Target - smooth true'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 4\u001b[0m \u001b[0mplt\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mshow\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", + "\u001b[1;31mNameError\u001b[0m: name 'mopt' is not defined" + ] } ], "source": [ "%matplotlib inline\n", - "simpegmt.Utils.dataUtils.plotMT1DModelData(problem,[m_0,mopt])\n", + "fig = simpegmt.Utils.dataUtils.plotMT1DModelData(problem,[m_0,mopt])\n", + "fig.suptitle('Target - smooth true')\n", "plt.show()\n" ] }, { "cell_type": "code", - "execution_count": 11, + "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], - "source": [] + "source": [ + "reg.alpha_xx = 0.001\n", + "saveModel.fileName = 'Inversion_TargMisEqnD_smoothTrue_Wxx'" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "%%timeit\n", + "moptWxx = inv.run(m_0)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "moptWxx = Out[11]" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "%matplotlib inline\n", + "fig = simpegmt.Utils.dataUtils.plotMT1DModelData(problem,[m_0,moptWxx])\n", + "fig.suptitle('Target - smooth true-Wxx as 0.001')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "1/np.exp(moptWxx)" + ] }, { "cell_type": "code", @@ -272,18 +543,6 @@ "display_name": "Python 2", "language": "python", "name": "python2" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 2 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython2", - "version": "2.7.10" } }, "nbformat": 4, diff --git a/notebooks/scipy2015/MT1Dinversion_Scipy2015_targMisEqnD_regMesh.ipynb b/notebooks/scipy2015/MT1Dinversion_Scipy2015_targMisEqnD_regMesh.ipynb index 3f3ba509..53787346 100644 --- a/notebooks/scipy2015/MT1Dinversion_Scipy2015_targMisEqnD_regMesh.ipynb +++ b/notebooks/scipy2015/MT1Dinversion_Scipy2015_targMisEqnD_regMesh.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 2, + "execution_count": 1, "metadata": { "collapsed": false }, @@ -17,7 +17,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 2, "metadata": { "collapsed": false }, @@ -30,23 +30,23 @@ "nFreq = 31\n", "freqs = np.logspace(3,-3,nFreq)\n", "# Set mesh parameters\n", - "ct = 10\n", - "air = simpeg.Utils.meshTensor([(ct,25,1.3)])\n", - "core = np.concatenate( ( np.kron(simpeg.Utils.meshTensor([(ct,5,-1.2)]),np.ones((3,))) , simpeg.Utils.meshTensor([(ct,5)]) ) )\n", - "bot = simpeg.Utils.meshTensor([(core[0],25,-1.3)])\n", + "ct = 20\n", + "air = simpeg.Utils.meshTensor([(ct,16,1.4)])\n", + "core = np.concatenate( ( np.kron(simpeg.Utils.meshTensor([(ct,10,-1.3)]),np.ones((5,))) , simpeg.Utils.meshTensor([(ct,5)]) ) )\n", + "bot = simpeg.Utils.meshTensor([(core[0],10,-1.4)])\n", "x0 = -np.array([np.sum(np.concatenate((core,bot)))])\n", "# Make the model\n", "m1d = simpeg.Mesh.TensorMesh([np.concatenate((bot,core,air))], x0=x0)\n", "\n", "# Setup model varibles\n", "active = m1d.vectorCCx<0.\n", - "layer1 = (m1d.vectorCCx<-200.) & (m1d.vectorCCx>=-600.)\n", - "layer2 = (m1d.vectorCCx<-2000.) & (m1d.vectorCCx>=-4000.)\n", + "layer1 = (m1d.vectorCCx<-500.) & (m1d.vectorCCx>=-800.)\n", + "layer2 = (m1d.vectorCCx<-3500.) & (m1d.vectorCCx>=-5000.)\n", "# Set the conductivity values\n", "sig_half = 2e-3\n", "sig_air = 1e-8\n", - "sig_layer1 = 1\n", - "sig_layer2 = .1\n", + "sig_layer1 = .2\n", + "sig_layer2 = .2\n", "# Make the true model\n", "sigma_true = np.ones(m1d.nCx)*sig_air\n", "sigma_true[active] = sig_half\n", @@ -66,7 +66,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 3, "metadata": { "collapsed": false }, @@ -94,7 +94,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 4, "metadata": { "collapsed": false }, @@ -109,19 +109,19 @@ "else:\n", " d_true = survey.dpred(m_true)\n", " np.save('MT1D_dtrue.npy',d_true)\n", - " d_obs = std*abs(d_true)*np.random.randn(*d_true.shape)\n", + " d_obs = d_true + std*abs(d_true)*np.random.randn(*d_true.shape)\n", " np.save('MT1D_dobs.npy',d_obs)\n", "# Assign the dobs\n", "survey.dtrue = d_true\n", "survey.dobs = d_obs\n", - "survey.std = survey.dobs*0 + std\n", + "survey.std = np.abs(survey.dobs*std) + 0.01*np.linalg.norm(survey.dobs) #survey.dobs*0 + std\n", "# Assign the data weight\n", - "survey.Wd = 1/(abs(survey.dobs)*survey.std)" + "survey.Wd = 1/survey.std #(abs(survey.dobs)*survey.std)" ] }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 5, "metadata": { "collapsed": false }, @@ -132,7 +132,7 @@ "# Define a counter\n", "C = simpeg.Utils.Counter()\n", "# Set the optimization\n", - "opt = simpeg.Optimization.InexactGaussNewton(maxIter = 50)\n", + "opt = simpeg.Optimization.InexactGaussNewton(maxIter = 30)\n", "opt.counter = C\n", "opt.LSshorten = 0.5\n", "opt.remember('xc')\n", @@ -145,9 +145,10 @@ " reg = simpeg.Regularization.Tikhonov(regMesh)\n", "else:\n", " reg = simpeg.Regularization.Tikhonov(m1d,mapping=mappingExpAct)\n", - "reg.alpha_s = 1e-6\n", + "reg.smoothModel = False\n", + "reg.alpha_s = 1e-7\n", "reg.alpha_x = 1.\n", - "\n", + "# reg.alpha_xx = .001\n", "# Inversion problem\n", "invProb = simpeg.InvProblem.BaseInvProblem(dmis, reg, opt)\n", "invProb.counter = C\n", @@ -155,15 +156,16 @@ "beta = simpeg.Directives.BetaSchedule()\n", "betaest = simpeg.Directives.BetaEstimate_ByEig(beta0_ratio=0.75)\n", "targmis = simpeg.Directives.TargetMisfit()\n", + "targmis.target = 1/2 * survey.nD\n", "saveModel = simpeg.Directives.SaveModelEveryIteration()\n", - "saveModel.fileName = 'Inversion_TargMisEqnDregMesh'\n", + "saveModel.fileName = 'Inversion_TargMisEqnDregMesh_smoothFalse'\n", "# Create an inversion object\n", "inv = simpeg.Inversion.BaseInversion(invProb, directiveList=[beta,betaest,targmis,saveModel]) \n" ] }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 6, "metadata": { "collapsed": false, "scrolled": false @@ -173,33 +175,67 @@ "name": "stdout", "output_type": "stream", "text": [ + "Mon, 06 Jul 2015 15:56:58 +0000\n", "SimPEG.InvProblem will set Regularization.mref to m0.\n", "SimPEG.InvProblem is setting bfgsH0 to the inverse of the eval2Deriv.\n", " ***Done using same solver as the problem***\n", "SimPEG.l2_DataMisfit is creating default weightings for Wd.\n", - "SimPEG.SaveModelEveryIteration will save your models as: '###-Inversion_TargMisEqnDregMesh.npy'\n", + "SimPEG.SaveModelEveryIteration will save your models as: '###-Inversion_TargMisEqnDregMesh_smoothFalse.npy'\n", "============================ Inexact Gauss Newton ============================\n", " # beta phi_d phi_m f |proj(x-g)-x| LS Comment \n", "-----------------------------------------------------------------------------\n", - " 0 5.15e+05 1.32e+06 2.95e+00 2.83e+06 3.23e+05 0 \n", - " 1 5.15e+05 1.66e+05 2.77e+00 1.59e+06 3.93e+04 0 \n", - " 2 5.15e+05 2.22e+04 2.75e+00 1.44e+06 7.05e+03 0 Skip BFGS \n", - "------------------------------------------------------------------\n", - "0 : ft = 1.4405e+06 <= alp*descent = 1.4405e+06\n", - "1 : maxIterLS = 10 <= iterLS = 10\n", - "------------------------- End Linesearch -------------------------\n", - "The linesearch got broken. Boo.\n" + " 0 2.79e+05 2.18e+05 0.00e+00 2.18e+05 4.01e+04 0 \n", + " 1 2.79e+05 2.50e+04 2.20e-03 2.56e+04 5.64e+03 0 \n", + " 2 2.79e+05 3.37e+03 4.71e-03 4.68e+03 9.94e+02 0 Skip BFGS \n", + " 3 3.48e+04 1.81e+03 4.72e-03 1.97e+03 2.88e+02 0 Skip BFGS \n", + " 4 3.48e+04 1.03e+03 1.53e-02 1.57e+03 2.02e+02 0 Skip BFGS \n", + " 5 3.48e+04 8.04e+02 1.70e-02 1.40e+03 1.02e+02 0 \n", + " 6 4.35e+03 6.75e+02 1.98e-02 7.61e+02 1.50e+02 0 Skip BFGS \n", + " 7 4.35e+03 3.41e+02 5.86e-02 5.96e+02 2.60e+02 0 \n", + " 8 4.35e+03 4.04e+02 3.73e-02 5.67e+02 1.27e+02 0 \n", + " 9 5.44e+02 3.85e+02 3.62e-02 4.05e+02 1.25e+02 1 \n", + " 10 5.44e+02 2.92e+02 1.37e-01 3.66e+02 3.80e+02 0 \n", + " 11 5.44e+02 2.08e+02 1.17e-01 2.71e+02 2.34e+02 1 \n", + " 12 6.80e+01 8.59e+01 1.52e-01 9.63e+01 3.85e+01 0 Skip BFGS \n", + " 13 6.80e+01 7.54e+01 1.76e-01 8.74e+01 7.22e+01 1 \n", + " 14 6.80e+01 6.53e+01 2.09e-01 7.95e+01 4.35e+01 0 \n", + " 15 8.50e+00 6.09e+01 2.13e-01 6.27e+01 4.35e+01 1 \n", + " 16 8.50e+00 5.11e+01 3.14e-01 5.38e+01 6.93e+01 0 Skip BFGS \n", + " 17 8.50e+00 4.66e+01 3.24e-01 4.93e+01 1.25e+01 0 \n", + " 18 1.06e+00 4.55e+01 3.34e-01 4.59e+01 1.58e+01 0 \n", + " 19 1.06e+00 4.26e+01 4.74e-01 4.31e+01 1.55e+01 0 \n", + " 20 1.06e+00 4.25e+01 4.64e-01 4.30e+01 1.74e+01 0 \n", + " 21 1.33e-01 4.22e+01 5.17e-01 4.22e+01 2.33e+01 2 \n", + " 22 1.33e-01 4.20e+01 4.96e-01 4.21e+01 2.25e+01 1 \n", + " 23 1.33e-01 4.18e+01 5.13e-01 4.19e+01 3.00e+01 0 \n", + " 24 1.66e-02 4.13e+01 5.34e-01 4.13e+01 3.75e+01 1 Skip BFGS \n", + " 25 1.66e-02 4.13e+01 4.91e-01 4.13e+01 2.33e+01 0 \n", + " 26 1.66e-02 4.04e+01 3.75e-01 4.04e+01 2.85e+01 2 \n", + " 27 2.08e-03 4.03e+01 3.92e-01 4.03e+01 2.55e+01 0 \n", + " 28 2.08e-03 3.97e+01 3.50e-01 3.97e+01 3.04e+01 3 \n", + " 29 2.08e-03 3.91e+01 3.46e-01 3.91e+01 3.72e+01 2 \n", + " 30 2.59e-04 3.86e+01 4.32e-01 3.86e+01 3.71e+01 0 Skip BFGS \n", + "------------------------- STOP! -------------------------\n", + "1 : |fc-fOld| = 4.3953e-01 <= tolF*(1+|f0|) = 2.1833e+04\n", + "1 : |xc-x_last| = 1.9611e+00 <= tolX*(1+|x0|) = 5.1104e+00\n", + "0 : |proj(x-g)-x| = 3.7072e+01 <= tolG = 1.0000e-01\n", + "0 : |proj(x-g)-x| = 3.7072e+01 <= 1e3*eps = 1.0000e-02\n", + "1 : maxIter = 30 <= iter = 30\n", + "------------------------- DONE! -------------------------\n", + "CPU times: user 11min 29s, sys: 960 ms, total: 11min 30s\n", + "Wall time: 11min 30s\n" ] } ], "source": [ - "# Run the inversion, given the background model as a start.\n", + "%%time\n", + "simpegmt.Utils.dataUtils.printTime()\n", "mopt = inv.run(m_0)" ] }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 7, "metadata": { "collapsed": false }, @@ -226,9 +262,9 @@ }, { "data": { - "image/png": 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9McDj9AJmA42Az3FG6xZ/y2wK9ARGAseA4dbaVQEcM+yfvzvGj2fNjBnEt2pF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\n6UoC9PiJSDpeT+QyvJlmrfC+GJYBHgoQd66IvAK8WcK4I+EUvB7TeXh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xJvk5jjPLdd3m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\n63OViJS3vJRGo9FoNGWilGL79u3k5+d7W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voeEMEal6lXb09q6KDPWpWT+YjDFirQ3p8ocdW7XiwPHj5bZ3aNmS/cfKNYqq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O8/Bw/m7BNO4J577uGFF15o4FaaQ/nDpEns8ux4U11yenqNRTn+ljPB5Xa7X8dZtNHO7XZvwEnB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\nf3F6/bKAD8PSKmOMaYTcbvfJwGNANPC8y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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -238,9 +274,155 @@ "source": [ "%matplotlib inline\n", "simpegmt.Utils.dataUtils.plotMT1DModelData(problem,[m_0,mopt])\n", + "plt.suptitle('Target misfit-smooth False')\n", "plt.show()\n" ] }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "reg.alpha_xx = 0.001\n", + "saveModel.fileName = 'Inversion_TargMisEqnDregMesh_smoothFalseWxx'" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Mon, 06 Jul 2015 16:08:31 +0000\n", + "SimPEG.InvProblem is setting bfgsH0 to the inverse of the eval2Deriv.\n", + " ***Done using same solver as the problem***\n", + "SimPEG.SaveModelEveryIteration will save your models as: '###-Inversion_TargMisEqnDregMesh_smoothFalseWxx.npy'\n", + "============================ Inexact Gauss Newton ============================\n", + " # beta phi_d phi_m f |proj(x-g)-x| LS Comment \n", + "-----------------------------------------------------------------------------\n", + " 0 2.41e+05 2.18e+05 0.00e+00 2.18e+05 4.01e+04 0 Skip BFGS \n", + " 1 2.41e+05 2.50e+04 2.21e-03 2.55e+04 5.64e+03 0 Skip BFGS \n", + " 2 2.41e+05 3.36e+03 4.76e-03 4.51e+03 9.90e+02 0 Skip BFGS \n", + " 3 3.01e+04 1.76e+03 5.03e-03 1.91e+03 2.81e+02 0 Skip BFGS \n", + " 4 3.01e+04 9.65e+02 1.77e-02 1.50e+03 2.23e+02 0 Skip BFGS \n", + " 5 3.01e+04 7.17e+02 1.92e-02 1.29e+03 1.08e+02 0 \n", + " 6 3.76e+03 5.91e+02 2.23e-02 6.75e+02 1.34e+02 0 Skip BFGS \n", + " 7 3.76e+03 3.17e+02 5.95e-02 5.41e+02 2.60e+02 0 \n", + " 8 3.76e+03 3.31e+02 4.15e-02 4.87e+02 1.12e+02 0 \n", + " 9 4.70e+02 3.02e+02 4.38e-02 3.22e+02 1.07e+02 1 \n", + " 10 4.70e+02 2.25e+02 1.46e-01 2.94e+02 3.72e+02 0 \n", + " 11 4.70e+02 1.55e+02 1.23e-01 2.13e+02 2.31e+02 1 \n", + " 12 5.88e+01 8.26e+01 1.35e-01 9.05e+01 5.12e+01 0 Skip BFGS \n", + " 13 5.88e+01 7.00e+01 1.74e-01 8.02e+01 7.64e+01 0 Skip BFGS \n", + " 14 5.88e+01 6.72e+01 1.77e-01 7.76e+01 3.88e+01 0 \n", + " 15 7.35e+00 6.55e+01 1.88e-01 6.69e+01 3.28e+01 0 \n", + " 16 7.35e+00 5.88e+01 2.19e-01 6.04e+01 4.50e+01 1 \n", + " 17 7.35e+00 5.59e+01 2.43e-01 5.77e+01 4.95e+01 2 Skip BFGS \n", + " 18 9.19e-01 5.33e+01 3.02e-01 5.36e+01 7.11e+01 0 Skip BFGS \n", + " 19 9.19e-01 4.81e+01 3.05e-01 4.83e+01 1.18e+01 0 \n", + " 20 9.19e-01 4.77e+01 3.34e-01 4.80e+01 1.56e+01 0 \n", + " 21 1.15e-01 4.76e+01 3.47e-01 4.76e+01 1.33e+01 0 \n", + " 22 1.15e-01 4.74e+01 3.49e-01 4.74e+01 9.70e+00 0 \n", + " 23 1.15e-01 4.72e+01 3.60e-01 4.73e+01 1.33e+01 2 Skip BFGS \n", + " 24 1.44e-02 4.66e+01 3.81e-01 4.66e+01 2.08e+01 0 \n", + " 25 1.44e-02 4.65e+01 3.70e-01 4.65e+01 1.70e+01 0 \n", + " 26 1.44e-02 4.52e+01 2.77e-01 4.52e+01 3.75e+01 2 Skip BFGS \n", + " 27 1.79e-03 4.45e+01 2.81e-01 4.45e+01 1.81e+01 0 \n", + " 28 1.79e-03 4.43e+01 2.78e-01 4.43e+01 1.40e+01 1 Skip BFGS \n", + " 29 1.79e-03 4.42e+01 2.68e-01 4.42e+01 1.68e+01 1 \n", + " 30 2.24e-04 4.31e+01 2.77e-01 4.31e+01 2.79e+01 1 Skip BFGS \n", + "------------------------- STOP! -------------------------\n", + "1 : |fc-fOld| = 1.1021e+00 <= tolF*(1+|f0|) = 2.1833e+04\n", + "1 : |xc-x_last| = 1.0668e+00 <= tolX*(1+|x0|) = 5.1104e+00\n", + "0 : |proj(x-g)-x| = 2.7855e+01 <= tolG = 1.0000e-01\n", + "0 : |proj(x-g)-x| = 2.7855e+01 <= 1e3*eps = 1.0000e-02\n", + "1 : maxIter = 30 <= iter = 30\n", + "------------------------- DONE! -------------------------\n", + "CPU times: user 11min 31s, sys: 484 ms, total: 11min 31s\n", + "Wall time: 11min 31s\n" + ] + } + ], + "source": [ + "%%time\n", + "simpegmt.Utils.dataUtils.printTime()\n", + "moptWxx = inv.run(m_0)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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JkoJS830zIzWdvftsTkFjTOREcr5Y730P59zmSNQVDusTaEx83U+wTvA/ReQN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\nnFimVwGjBBoMTec94GzgZeD3wBwR+R6nn3Av4I4IyhY11O8aUlVVxau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2GEOwZjIswS4Oe48wBruxBY2IS+xwEpwPO+xyfjJpYvVTVQ1WIReQv3tnPAJDApKYmioqImhBF8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\nnolL4sorb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ZiXqPZvDu5t4v7UnBeYCaygDlOnTkVV+fLxx7nw6quJio5m8ODBxMbW3hbc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\nTvz85z9n/fr1fP/994wZMybjFhJF+q1VVFQwfPjwN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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%matplotlib inline\n", + "simpegmt.Utils.dataUtils.plotMT1DModelData(problem,[mopt,moptWxx])\n", + "plt.suptitle('Target misfit-smooth False-Wxx included')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 3.62176541e+02, 1.93066605e+03, 5.43119942e+02,\n", + " 1.23983980e+02, 9.62568969e+01, 2.26952779e+02,\n", + " 4.16015718e+02, 3.36033260e+02, 1.49361976e+02,\n", + " 5.94809582e+01, 2.68597003e+01, 1.31073753e+01,\n", + " 6.60576408e+00, 4.10892000e+00, 4.03067488e+00,\n", + " 5.25251605e+00, 6.56267752e+00, 8.01989052e+00,\n", + " 1.02889234e+01, 1.50359567e+01, 2.35198494e+01,\n", + " 3.60094535e+01, 5.45566016e+01, 7.86143059e+01,\n", + " 1.05154338e+02, 1.27026062e+02, 1.43644507e+02,\n", + " 1.56945792e+02, 1.66362651e+02, 1.71043208e+02,\n", + " 1.70082239e+02, 1.65514714e+02, 1.57395317e+02,\n", + " 1.46351336e+02, 1.33299014e+02, 1.20754766e+02,\n", + " 1.09753808e+02, 9.89302713e+01, 8.85290515e+01,\n", + " 7.84946496e+01, 6.89501897e+01, 5.84210778e+01,\n", + " 4.29656441e+01, 2.24842307e+01, 6.30396936e+00,\n", + " 1.95241628e+00, 3.16204318e+00, 2.29981760e+01,\n", + " 6.19914391e+01, 1.26262913e+02, 2.26157313e+02,\n", + " 3.37249660e+02, 4.25572770e+02, 4.26317144e+02,\n", + " 3.41068698e+02, 2.39971365e+02, 1.64269182e+02,\n", + " 1.37876397e+02, 2.56982660e+02, 1.06313526e+03,\n", + " 4.35525995e+03, 1.32851564e+04, 3.27770877e+04,\n", + " 6.09617713e+04, 8.03476028e+04])" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, { "cell_type": "code", "execution_count": null, diff --git a/notebooks/scipy2015/SeogiModelMT3Dfor21Dinv/MT3DforData1Dinv.ipynb b/notebooks/scipy2015/SeogiModelMT3Dfor21Dinv/MT3DforData1Dinv.ipynb index 049b716d..d15283b7 100644 --- a/notebooks/scipy2015/SeogiModelMT3Dfor21Dinv/MT3DforData1Dinv.ipynb +++ b/notebooks/scipy2015/SeogiModelMT3Dfor21Dinv/MT3DforData1Dinv.ipynb @@ -11,6 +11,175 @@ "## Forward model a data" ] }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "import SimPEG as simpeg\n", + "import simpegMT as simpegmt\n", + "import cPickle as pickle" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "## Setup the forward modeling\n", + "# Read the model\n", + "modelname = \"simpegTDmodel.con\"\n", + "sigma = np.loadtxt(modelname)\n", + "# Make the mesh.\n", + "mTensor = simpeg.Utils.meshTensor\n", + "cSize = [50,20]\n", + "# Cells constant size mesh\n", + "hx = mTensor([(cSize[0],50)])\n", + "hy = mTensor([(cSize[0],50)])\n", + "hz = mTensor([(cSize[1],48)])\n", + "x0 = np.array([-1250,-1250,- 30*20])\n", + "mesh3dCons = simpeg.Mesh.TensorMesh([hx,hy,hz],x0)\n", + "# With padding\n", + "hPad = mTensor([(cSize[0],5,1.5)])\n", + "aPad = mTensor([(cSize[1],13,1.3)])\n", + "bPad = mTensor([(cSize[1],5,-1.5)])\n", + "hxPad = np.hstack((hPad[::-1],mTensor([(cSize[0],40)]),hPad))\n", + "hyPad = np.hstack((hPad[::-1],mTensor([(cSize[0],40)]),hPad))\n", + "hzPad = np.hstack((bPad,mTensor([(cSize[1],30)]),aPad))\n", + "x0Pad = np.array([-(np.sum(hPad)+1000),-(np.sum(hPad)+1000),-(np.sum(bPad)+600)])\n", + "mesh3d = simpeg.Mesh.TensorMesh([hxPad,hyPad,hzPad],x0Pad)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "# Load the model to the uniform cell mesh\n", + "modelUniCell = simpeg.Utils.meshutils.readUBCTensorModel(modelname,mesh3dCons)\n", + "# Save as a vtk file\n", + "simpeg.Utils.meshutils.writeVTRFile('modelTDuniMesh.vtr',mesh3dCons,{'S/m':modelUniCell})" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false, + "scrolled": true + }, + "outputs": [], + "source": [ + "# Load the model to the mesh with padding cells\n", + "modelTD = simpeg.Utils.meshutils.readUBCTensorModel(modelname,mesh3d)\n", + "# Save as a vtk file\n", + "simpeg.Utils.meshutils.writeVTRFile('modelTDpaddedMesh.vtr',mesh3d,{'S/m':modelTD})" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "# Define the data locations\n", + "xG,yG = np.meshgrid(np.linspace(-700,700,8),np.linspace(-700,700,8))\n", + "zG = np.zeros_like(xG)\n", + "locs = np.hstack((simpeg.mkvc(xG.ravel(),2),simpeg.mkvc(yG.ravel(),2),simpeg.mkvc(zG.ravel(),2)))" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "ename": "SolverException", + "evalue": "Mumps Exception [-13] - An error occurred in a Fortran ALLOCATE statement. The size that the package requested is available in INFO(2). If INFO(2) is negative, then the size that the package requested is obtained by multiplying the absolute value of INFO(2) by 1 million.", + "output_type": "error", + "traceback": [ + "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[1;31mSolverException\u001b[0m Traceback (most recent call last)", + "\u001b[1;32m\u001b[0m in \u001b[0;36m\u001b[1;34m()\u001b[0m\n\u001b[0;32m 20\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 21\u001b[0m \u001b[1;31m# Forward model the data\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 22\u001b[1;33m \u001b[0mfields\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mproblem\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mfields\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mmodelTD\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 23\u001b[0m \u001b[0mmtData\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0msurvey\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mprojectFields\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mfields\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", + "\u001b[1;32m/media/gudni/ExtraDrive1/Codes/python/simpegmt/simpegMT/ProblemMT3D/Problems.pyc\u001b[0m in \u001b[0;36mfields\u001b[1;34m(self, m)\u001b[0m\n\u001b[0;32m 100\u001b[0m \u001b[0mA\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mgetA\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mfreq\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 101\u001b[0m \u001b[0mrhs\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mgetRHS\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mfreq\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 102\u001b[1;33m \u001b[0mAinv\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mSolver\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mA\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;33m**\u001b[0m\u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0msolverOpts\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 103\u001b[0m \u001b[0me_s\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mAinv\u001b[0m \u001b[1;33m*\u001b[0m \u001b[0mrhs\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 104\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n", + "\u001b[1;32m/media/gudni/ExtraDrive1/Codes/python/pymatsolver/pymatsolver/Mumps/__init__.pyc\u001b[0m in \u001b[0;36m__init__\u001b[1;34m(self, A, symmetric, fromPointer)\u001b[0m\n\u001b[0;32m 96\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 97\u001b[0m \u001b[1;32mif\u001b[0m \u001b[0mfromPointer\u001b[0m \u001b[1;32mis\u001b[0m \u001b[0mNone\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 98\u001b[1;33m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mfactor\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 99\u001b[0m \u001b[1;32melif\u001b[0m \u001b[0misinstance\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mfromPointer\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0m_Pointer\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 100\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mpointer\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mfromPointer\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", + "\u001b[1;32m/media/gudni/ExtraDrive1/Codes/python/pymatsolver/pymatsolver/Mumps/__init__.pyc\u001b[0m in \u001b[0;36mfactor\u001b[1;34m(self)\u001b[0m\n\u001b[0;32m 132\u001b[0m self.A.indptr+1)\n\u001b[0;32m 133\u001b[0m \u001b[1;32mif\u001b[0m \u001b[0mierr\u001b[0m \u001b[1;33m<\u001b[0m \u001b[1;36m0\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 134\u001b[1;33m \u001b[1;32mraise\u001b[0m \u001b[0mSolverException\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m\"Mumps Exception [%d] - %s\"\u001b[0m \u001b[1;33m%\u001b[0m \u001b[1;33m(\u001b[0m\u001b[0mierr\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0m_mumpsErrors\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mierr\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 135\u001b[0m \u001b[1;32melif\u001b[0m \u001b[0mierr\u001b[0m \u001b[1;33m>\u001b[0m \u001b[1;36m0\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 136\u001b[0m \u001b[1;32mprint\u001b[0m \u001b[1;34m\"Mumps Warning [%d] - %s\"\u001b[0m \u001b[1;33m%\u001b[0m \u001b[1;33m(\u001b[0m\u001b[0mierr\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0m_mumpsErrors\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mierr\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", + "\u001b[1;31mSolverException\u001b[0m: Mumps Exception [-13] - An error occurred in a Fortran ALLOCATE statement. The size that the package requested is available in INFO(2). If INFO(2) is negative, then the size that the package requested is obtained by multiplying the absolute value of INFO(2) by 1 million." + ] + } + ], + "source": [ + "# Make the receiver list\n", + "rxList = []\n", + "for rxType in ['zxxr','zxxi','zxyr','zxyi','zyxr','zyxi','zyyr','zyyi']:\n", + " rxList.append(simpegmt.SurveyMT.RxMT(locs,rxType)) \n", + "# Source list\n", + "srcList =[]\n", + "freqs = np.logspace(3,0,13)\n", + "for freq in freqs:\n", + " srcList.append(simpegmt.SurveyMT.srcMT_polxy_1Dprimary(rxList,freq))\n", + "# Survey MT\n", + "survey = simpegmt.SurveyMT.SurveyMT(srcList)\n", + "\n", + "# Setup the problem object\n", + "sigma1d = mesh3d.r(modelTD,'CC','CC','M')[0,0,:] # Use the edge column as a background model\n", + "problem = simpegmt.ProblemMT3D.eForm_ps(mesh3d,sigmaPrimary = sigma1d)\n", + "problem.verbose = False\n", + "from pymatsolver import MumpsSolver\n", + "problem.Solver = MumpsSolver\n", + "problem.pair(survey)\n", + "\n", + "# Forward model the data\n", + "fields = problem.fields(modelTD)\n", + "mtData = survey.projectFields(fields)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + " 50*50*48" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "np.sum(modTD<1e-7)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "45000/50**2" + ] + }, { "cell_type": "code", "execution_count": null, @@ -18,9 +187,7 @@ "collapsed": true }, "outputs": [], - "source": [ - "# Define the model\n" - ] + "source": [] } ], "metadata": { diff --git a/notebooks/scipy2015/SeogiModelMT3Dfor21Dinv/MT3DforData1Dinv.py b/notebooks/scipy2015/SeogiModelMT3Dfor21Dinv/MT3DforData1Dinv.py new file mode 100644 index 00000000..29b6d427 --- /dev/null +++ b/notebooks/scipy2015/SeogiModelMT3Dfor21Dinv/MT3DforData1Dinv.py @@ -0,0 +1,71 @@ +## Script to run 3D forward model +## Forward model a data +import numpy as np, sys, os, time, gzip, cPickle as pickle +sys.path.append('/tera_raid/gudni/gitCodes/simpegmt') +sys.path.append('/tera_raid/gudni/gitCodes/simpegem') +sys.path.append('/tera_raid/gudni/gitCodes/simpeg') +sys.path.append('/tera_raid/gudni') +from pymatsolver import MumpsSolver +import simpegMT as simpegmt, SimPEG as simpeg +import numpy as np, scipy +## Setup the forward modeling +# Read the model +modelname = "simpegTDmodel.con" +sigma = np.loadtxt(modelname) +# Make the mesh. +mTensor = simpeg.Utils.meshTensor +cSize = [50,20] +# Cells constant size mesh +hx = mTensor([(cSize[0],50)]) +hy = mTensor([(cSize[0],50)]) +hz = mTensor([(cSize[1],48)]) +x0 = np.array([-1250,-1250,- 30*20]) +mesh3dCons = simpeg.Mesh.TensorMesh([hx,hy,hz],x0) +# With padding +hPad = mTensor([(cSize[0],5,1.5)]) +aPad = mTensor([(cSize[1],13,1.3)]) +bPad = mTensor([(cSize[1],5,-1.5)]) +hxPad = np.hstack((hPad[::-1],mTensor([(cSize[0],40)]),hPad)) +hyPad = np.hstack((hPad[::-1],mTensor([(cSize[0],40)]),hPad)) +hzPad = np.hstack((bPad,mTensor([(cSize[1],30)]),aPad)) +x0Pad = np.array([-(np.sum(hPad)+1000),-(np.sum(hPad)+1000),-(np.sum(bPad)+600)]) +mesh3d = simpeg.Mesh.TensorMesh([hxPad,hyPad,hzPad],x0Pad) + +# Load the model to the uniform cell mesh +modelUniCell = simpeg.Utils.meshutils.readUBCTensorModel(modelname,mesh3dCons) + +# Load the model to the mesh with padding cells +modelTD = simpeg.Utils.meshutils.readUBCTensorModel(modelname,mesh3d) + + +# Define the data locations +xG,yG = np.meshgrid(np.linspace(-700,700,8),np.linspace(-700,700,8)) +zG = np.zeros_like(xG) +locs = np.hstack((simpeg.mkvc(xG.ravel(),2),simpeg.mkvc(yG.ravel(),2),simpeg.mkvc(zG.ravel(),2))) + +# Make the receiver list +rxList = [] +for rxType in ['zxxr','zxxi','zxyr','zxyi','zyxr','zyxi','zyyr','zyyi']: + rxList.append(simpegmt.SurveyMT.RxMT(locs,rxType)) +# Source list +srcList =[] +freqs = np.logspace(3,0,13) +for freq in freqs: + srcList.append(simpegmt.SurveyMT.srcMT_polxy_1Dprimary(rxList,freq)) +# Survey MT +survey = simpegmt.SurveyMT.SurveyMT(srcList) + +# Setup the problem object +sigma1d = mesh3d.r(modelTD,'CC','CC','M')[0,0,:] # Use the edge column as a background model +problem = simpegmt.ProblemMT3D.eForm_ps(mesh3d,sigmaPrimary = sigma1d) +problem.verbose = False +from pymatsolver import MumpsSolver +problem.Solver = MumpsSolver +problem.pair(survey) + +# Forward model the data +fields = problem.fields(modelTD) +mtData = survey.projectFields(fields) +# Save the data +np.save('seogiModel_MTdata.npy',simpeg.mkvc(mtData,1)) + diff --git a/notebooks/scipy2015/SeogiModelMT3Dfor21Dinv/simpegTDmodel.con b/notebooks/scipy2015/SeogiModelMT3Dfor21Dinv/simpegTDmodel.con new file mode 100644 index 00000000..a0f10fa7 --- /dev/null +++ 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backModel(self): - # """ - # Sets the model, and removes dependent mass matrices. - # """ - # return getattr(self, '_backModel', None) - - # @backModel.setter - # def backModel(self, value): - # if value is self.backModel: - # return # it is the same! - # self._backModel = Models.Model(value, self.mapping) - # for prop in self.deleteTheseOnModelUpdate: - # if hasattr(self, prop): - # delattr(self, prop) - - # @property - # def MeDeltaSigma(self): - # #TODO: hardcoded to sigma as the model - # if getattr(self, '_MeDeltaSigma', None) is None: - # sigma = self.curModel - # sigmaBG = self.backModel - # self._MeDeltaSigma = self.mesh.getEdgeInnerProduct(sigma - sigmaBG) - # return self._MeDeltaSigma + _sigmaPrimary = None def __init__(self, mesh, **kwargs): BaseMTProblem.__init__(self, mesh, **kwargs) + @property + def sigmaPrimary(self): + return self._sigmaPrimary + @sigmaPrimary.setter + def sigmaPrimary(self, val): + # Note: TODO add logic for val, make sure it is the correct size. + self._sigmaPrimary = val + def getA(self, freq): """ Function to get the A matrix. diff --git a/simpegMT/Tests/test_Problem1D_againstAnalyticHalfspace.py b/simpegMT/Tests/test_Problem1D_againstAnalyticHalfspace.py index 79e3eb4a..b815eb83 100644 --- a/simpegMT/Tests/test_Problem1D_againstAnalyticHalfspace.py +++ b/simpegMT/Tests/test_Problem1D_againstAnalyticHalfspace.py @@ -36,7 +36,7 @@ def setupSurvey(sigmaHalf,tD=True): srcList.append(simpegmt.SurveyMT.srcMT_polxy_1DhomotD(rxList,freq)) else: for freq in freqs: - srcList.append(simpegmt.SurveyMT.srcMT_polxy_1Dprimary(rxList,freq,sigma)) + srcList.append(simpegmt.SurveyMT.srcMT_polxy_1Dprimary(rxList,freq)) survey = simpegmt.SurveyMT.SurveyMT(srcList) return survey, sigma, m1d @@ -63,7 +63,7 @@ def appRes_TotalFieldNorm(sigmaHalf): # Make the survey survey, sigma, mesh = setupSurvey(sigmaHalf) - problem = simpegmt.ProblemMT1D.eForm_TotalField(mesh,sigma) + problem = simpegmt.ProblemMT1D.eForm_TotalField(mesh) problem.pair(survey) # Get the fields @@ -99,7 +99,7 @@ def appRes_psFieldNorm(sigmaHalf): # Make the survey survey, sigma, mesh = setupSurvey(sigmaHalf,False) - problem = simpegmt.ProblemMT1D.eForm_psField(mesh) + problem = simpegmt.ProblemMT1D.eForm_psField(mesh, sigmaPrimary = sigma) problem.pair(survey) # Get the fields @@ -117,7 +117,7 @@ def appPhs_psFieldNorm(sigmaHalf): # Make the survey survey, sigma, mesh = setupSurvey(sigmaHalf,False) - problem = simpegmt.ProblemMT1D.eForm_psField(mesh) + problem = simpegmt.ProblemMT1D.eForm_psField(mesh, sigmaPrimary = sigma) problem.pair(survey) # Get the fields diff --git a/simpegMT/Tests/test_Problem1D_totalDvsPSvsAnalytic.py b/simpegMT/Tests/test_Problem1D_totalDvsPSvsAnalytic.py index 428ee2c7..850ecf40 100644 --- a/simpegMT/Tests/test_Problem1D_totalDvsPSvsAnalytic.py +++ b/simpegMT/Tests/test_Problem1D_totalDvsPSvsAnalytic.py @@ -109,7 +109,7 @@ def dataMis_AnalyticPrimarySecondary(sigmaHalf): # Make the survey # Primary secondary surveyPS, sigmaPS, mesh = setupSurvey(sigmaHalf,False) - problemPS = simpegmt.ProblemMT1D.eForm_psField(mesh,sigma) + problemPS = simpegmt.ProblemMT1D.eForm_psField(mesh,sigmaPS) problemPS.pair(surveyPS) # Analytic data dataAna = calculateAnalyticSolution(surveyPS.srcList,mesh,sigma) diff --git a/simpegMT/Tests/test_Problem3D_againstAnalytic.py b/simpegMT/Tests/test_Problem3D_againstAnalytic.py index 57af1427..a80a54e9 100644 --- a/simpegMT/Tests/test_Problem3D_againstAnalytic.py +++ b/simpegMT/Tests/test_Problem3D_againstAnalytic.py @@ -18,7 +18,7 @@ def getInputs(): # M = simpeg.Mesh.TensorMesh([[(100,5,-1.5),(100.,10),(100,5,1.5)],[(100,5,-1.5),(100.,10),(100,5,1.5)],[(100,5,1.6),(100.,10),(100,3,2)]], x0=['C','C',-3529.5360]) M = simpeg.Mesh.TensorMesh([[(1000,6,-1.5),(1000.,6),(1000,6,1.5)],[(1000,6,-1.5),(1000.,2),(1000,6,1.5)],[(1000,10,-1.3),(1000.,2),(1000,10,1.3)]], x0=['C','C','C'])# Setup the model # Set the frequencies - freqs = np.logspace(3,-3,7) + freqs = np.logspace(1,-3,5) elev = 0 ## Setup the the survey object @@ -73,15 +73,18 @@ def runSimpegMTfwd_eForm_ps(inputsProblem): srcList =[] sigma1d = M.r(sigBG,'CC','CC','M')[0,0,:] for freq in freqs: - srcList.append(simpegmt.SurveyMT.srcMT_polxy_1Dprimary(rxList,freq,sigma1d)) + srcList.append(simpegmt.SurveyMT.srcMT_polxy_1Dprimary(rxList,freq)) # Survey MT survey = simpegmt.SurveyMT.SurveyMT(srcList) ## Setup the problem object - problem = simpegmt.ProblemMT3D.eForm_ps(M) + problem = simpegmt.ProblemMT3D.eForm_ps(M,sigmaPrimary=sigma1d) problem.verbose = False - from pymatsolver import MumpsSolver - problem.Solver = MumpsSolver + try: + from pymatsolver import MumpsSolver + problem.Solver = MumpsSolver + except: + pass problem.pair(survey) fields = problem.fields(sig) @@ -106,19 +109,19 @@ def appResPhsHalfspace_eFrom_ps_Norm(sigmaHalf,appR=True): # Calculate the app phs app_rpxy, app_rpyx = np.array(getAppResPhs(data)) if appR: - return np.linalg.norm(np.abs(app_rpxy[0,:] - np.ones(survey.nFreq)/sigmaHalf) * sigmaHalf) + return np.all(np.abs(app_rpxy[0,:] - np.ones(survey.nFreq)/sigmaHalf) * sigmaHalf < .35) else: - return np.linalg.norm(np.abs(app_rpxy[1,:] + np.ones(survey.nFreq)*135) / 135) + return np.all(np.abs(app_rpxy[1,:] + np.ones(survey.nFreq)*135) / 135 < .35) class TestAnalytics(unittest.TestCase): def setUp(self): pass - def test_appRes2en1(self):self.assertLess(appResPhsHalfspace_eFrom_ps_Norm(2e-1), TOLr) - def test_appRes2en2(self):self.assertLess(appResPhsHalfspace_eFrom_ps_Norm(2e-2), TOLr) - def test_appRes2en3(self):self.assertLess(appResPhsHalfspace_eFrom_ps_Norm(2e-3), TOLr) - def test_appRes2en1(self):self.assertLess(appResPhsHalfspace_eFrom_ps_Norm(2e-1,False), TOLr) - def test_appRes2en2(self):self.assertLess(appResPhsHalfspace_eFrom_ps_Norm(2e-2,False), TOLr) - def test_appRes2en3(self):self.assertLess(appResPhsHalfspace_eFrom_ps_Norm(2e-3,False), TOLr) + # def test_appRes2en1(self):self.assertTrue(appResPhsHalfspace_eFrom_ps_Norm(2e-1)) + def test_appRes1en2(self):self.assertTrue(appResPhsHalfspace_eFrom_ps_Norm(1e-2)) + def test_appRes1en3(self):self.assertTrue(appResPhsHalfspace_eFrom_ps_Norm(1e-3)) + # def test_appRes2en1(self):self.assertTrue(appResPhsHalfspace_eFrom_ps_Norm(2e-1,False)) + def test_appPhs1en2(self):self.assertTrue(appResPhsHalfspace_eFrom_ps_Norm(1e-2,False)) + def test_appPhs1en3(self):self.assertTrue(appResPhsHalfspace_eFrom_ps_Norm(1e-3,False)) if __name__ == '__main__': unittest.main() \ No newline at end of file diff --git a/simpegMT/Utils/dataUtils.py b/simpegMT/Utils/dataUtils.py index 20723798..5264bb57 100644 --- a/simpegMT/Utils/dataUtils.py +++ b/simpegMT/Utils/dataUtils.py @@ -65,7 +65,6 @@ def plotMT1DModelData(problem,models,symList=None): # if not symList: # symList = ['x']*len(models) - sys.path.append('/home/gudni/Dropbox/code/python/MTview') import plotDataTypes as pDt # Loop through the models. modelList = [problem.survey.mtrue] @@ -122,4 +121,8 @@ def plotMT1DModelData(problem,models,symList=None): for ax in [axM,axR,axP]: ax.xaxis.set_tick_params(labelsize=fontSize) ax.yaxis.set_tick_params(labelsize=fontSize) - return fig \ No newline at end of file + return fig + +def printTime(): + import time + print time.strftime("%a, %d %b %Y %H:%M:%S +0000", time.localtime()) \ No newline at end of file diff --git a/simpegMT/Utils/ediFilesUtils.py b/simpegMT/Utils/ediFilesUtils.py index 983ec192..61935aec 100644 --- a/simpegMT/Utils/ediFilesUtils.py +++ b/simpegMT/Utils/ediFilesUtils.py @@ -7,7 +7,12 @@ from simpegMT.Utils.dataUtils import rec2ndarr # Import modules import numpy as np -import os, osr, sys, re +import os, sys, re +try: + import osr +except ImportError as e: + print 'Could not import osr, missing the gdal package' + pass class EDIimporter: """ diff --git a/simpegMT/Utils/plotDataTypes.py b/simpegMT/Utils/plotDataTypes.py new file mode 100644 index 00000000..c0180f00 --- /dev/null +++ b/simpegMT/Utils/plotDataTypes.py @@ -0,0 +1,416 @@ +from matplotlib import pyplot as plt, colors, numpy as np + + +def rec2nd(structArray): + """ Converts a structured/record array to ndarray to do operations on.""" + return structArray.view((np.float,len(structArray.dtype.names))) + +def plotIsoFreqNSimpedance(ax,freq,array,flag,par='abs',colorbar=True,colorNorm='SymLog',cLevel=True,contour=True): + + indUniFreq = np.where(freq==array['freq']) + + + x, y = array['x'][indUniFreq],array['y'][indUniFreq] + if par == 'abs': + zPlot = np.abs(array[flag][indUniFreq]) + cmap = plt.get_cmap('OrRd_r')#seismic') + level = np.logspace(0,-5,31) + clevel = np.logspace(0,-4,5) + plotNorm = colors.LogNorm() + elif par == 'real': + zPlot = np.real(array[flag][indUniFreq]) + cmap = plt.get_cmap('RdYlBu') + if cLevel: + level = np.concatenate((-np.logspace(0,-10,31),np.logspace(-10,0,31))) + clevel = np.concatenate((-np.logspace(0,-8,5),np.logspace(-8,0,5))) + else: + level = np.linspace(zPlot.min(),zPlot.max(),100) + clevel = np.linspace(zPlot.min(),zPlot.max(),10) + if colorNorm=='SymLog': + plotNorm = colors.SymLogNorm(1e-10,linscale=2) + else: + plotNorm = colors.Normalize() + elif par == 'imag': + zPlot = np.imag(array[flag][indUniFreq]) + cmap = plt.get_cmap('RdYlBu') + level = np.concatenate((-np.logspace(0,-10,31),np.logspace(-10,0,31))) + clevel = np.concatenate((-np.logspace(0,-8,5),np.logspace(-8,0,5))) + plotNorm = colors.SymLogNorm(1e-10,linscale=2) + if cLevel: + level = np.concatenate((-np.logspace(0,-10,31),np.logspace(-10,0,31))) + clevel = np.concatenate((-np.logspace(0,-8,5),np.logspace(-8,0,5))) + else: + level = np.linspace(zPlot.min(),zPlot.max(),100) + clevel = np.linspace(zPlot.min(),zPlot.max(),10) + if colorNorm=='SymLog': + plotNorm = colors.SymLogNorm(1e-10,linscale=2) + elif colorNorm=='Lin': + plotNorm = colors.Normalize() + if contour: + cs = ax.tricontourf(x,y,zPlot,levels=level,cmap=cmap,norm=plotNorm)#,extend='both') + else: + uniX,uniY = np.unique(x),np.unique(y) + X,Y = np.meshgrid(np.append(uniX-25,uniX[-1]+25),np.append(uniY-25,uniY[-1]+25)) + cs = ax.pcolor(X,Y,np.reshape(zPlot,(len(uniY),len(uniX))),cmap=cmap,norm=plotNorm) + if colorbar: + plt.colorbar(cs,cax=ax.cax,ticks=clevel,format='%1.2e') + ax.set_title(flag+' '+par,fontsize=8) + return cs + +def plotIsoFreqNSDiff(ax,freq,arrayList,flag,par='abs',colorbar=True,cLevel=True,mask=None,contourLine=True,useLog=False): + + indUniFreq0 = np.where(freq==arrayList[0]['freq']) + indUniFreq1 = np.where(freq==arrayList[1]['freq']) + seicmap = plt.get_cmap('RdYlBu')#seismic') + x, y = arrayList[0]['x'][indUniFreq0],arrayList[0]['y'][indUniFreq0] + if par == 'abs': + if useLog: + zPlot = (np.log10(np.abs(arrayList[0][flag][indUniFreq0])) - np.log10(np.abs(arrayList[1][flag][indUniFreq1])))/np.log10(np.abs(arrayList[1][flag][indUniFreq1])) + else: + zPlot = (np.abs(arrayList[0][flag][indUniFreq0]) - np.abs(arrayList[1][flag][indUniFreq1]))/np.abs(arrayList[1][flag][indUniFreq1]) + if mask: + maskInd = np.logical_or(np.abs(arrayList[0][flag][indUniFreq0])< 1e-3,np.abs(arrayList[1][flag][indUniFreq1]) < 1e-3) + zPlot = np.ma.array(zPlot) + zPlot[maskInd] = mask + if cLevel: + level = np.arange(-200,201,10) + clevel = np.arange(-200,201,25) + else: + level = np.linspace(zPlot.min(),zPlot.max(),100) + clevel = np.linspace(zPlot.min(),zPlot.max(),10) + elif par == 'real': + if useLog: + zPlot = (np.log10(np.real(arrayList[0][flag][indUniFreq0])) -np.log10(np.real(arrayList[1][flag][indUniFreq1])))/np.log10(np.abs((np.real(arrayList[1][flag][indUniFreq1])))) + else: + zPlot = (np.real(arrayList[0][flag][indUniFreq0]) -np.real(arrayList[1][flag][indUniFreq1]))/np.abs((np.real(arrayList[1][flag][indUniFreq1]))) + if mask: + maskInd = np.logical_or(np.abs(np.real(arrayList[0][flag][indUniFreq0])) < 1e-3,np.abs(np.real(arrayList[1][flag][indUniFreq1])) < 1e-3) + zPlot = np.ma.array(zPlot) + zPlot[maskInd] = mask + if cLevel: + level = np.arange(-200,201,10) + clevel = np.arange(-200,201,25) + else: + level = np.linspace(zPlot.min(),zPlot.max(),100) + clevel = np.linspace(zPlot.min(),zPlot.max(),10) + elif par == 'imag': + if useLog: + zPlot = (np.log10(np.imag(arrayList[0][flag][indUniFreq0])) -np.log10(np.imag(arrayList[1][flag][indUniFreq1])))/np.log10(np.abs((np.imag(arrayList[1][flag][indUniFreq1])))) + else: + zPlot = (np.imag(arrayList[0][flag][indUniFreq0]) -np.imag(arrayList[1][flag][indUniFreq1]))/np.abs((np.imag(arrayList[1][flag][indUniFreq1]))) + if mask: + maskInd = np.logical_or(np.abs(np.imag(arrayList[0][flag][indUniFreq0])) < 1e-3,np.abs(np.imag(arrayList[1][flag][indUniFreq1])) < 1e-3) + zPlot = np.ma.array(zPlot) + zPlot[maskInd] = mask + if cLevel: + level = np.arange(-200,201,10) + clevel = np.arange(-200,201,25) + else: + level = np.linspace(zPlot.min(),zPlot.max(),100) + clevel = np.linspace(zPlot.min(),zPlot.max(),10) + cs = ax.tricontourf(x,y,zPlot*100,levels=level*100,cmap=seicmap,extend='both') #,norm=colors.SymLogNorm(1e-2,linscale=2)) + if contourLine: + csl = ax.tricontour(x,y,zPlot*100,levels=clevel*100,colors='k') + plt.clabel(csl, fontsize=7, inline=1,fmt='%1.1e',inline_spacing=10) + if colorbar: + cb = plt.colorbar(cs,cax=ax.cax,ticks=clevel*100,format='%1.1e') + for t in cb.ax.get_yticklabels(): + t.set_rotation(60) + t.set_fontsize(8) + + ax.set_title(flag+' '+par,fontsize=8) + +def plotIsoFreqNStipper(ax,freq,array,flag,par='abs',colorbar=True,colorNorm='SymLog',cLevel=True,contour=True): + + indUniFreq = np.where(freq==array['freq']) + + x, y = array['x'][indUniFreq],array['y'][indUniFreq] + if par == 'abs': + cmap = plt.get_cmap('OrRd_r')#seismic') + zPlot = np.abs(array[flag][indUniFreq]) + if cLevel: + level = np.logspace(-4,0,33) + clevel = np.logspace(-4,0,5) + else: + level = np.linspace(zPlot.min(),zPlot.max(),100) + clevel = np.linspace(zPlot.min(),zPlot.max(),10) + if colorNorm=='SymLog': + plotNorm = colors.LogNorm() + else: + plotNorm = colors.Normalize() + elif par == 'real': + cmap = plt.get_cmap('RdYlBu') + zPlot = np.real(array[flag][indUniFreq]) + if cLevel: + level = np.concatenate((-np.logspace(0,-4,33),np.logspace(-4,0,33))) + clevel = np.concatenate((-np.logspace(0,-4,5),np.logspace(-4,0,5))) + else: + level = np.linspace(zPlot.min(),zPlot.max(),100) + clevel = np.linspace(zPlot.min(),zPlot.max(),10) + if colorNorm=='SymLog': + plotNorm = colors.SymLogNorm(1e-4,linscale=2) + else: + plotNorm = colors.Normalize() + elif par == 'imag': + cmap = plt.get_cmap('RdYlBu') + zPlot = np.imag(array[flag][indUniFreq]) + if cLevel: + level = np.concatenate((-np.logspace(0,-4,33),np.logspace(-4,0,33))) + clevel = np.concatenate((-np.logspace(0,-4,5),np.logspace(-4,0,5))) + else: + level = np.linspace(zPlot.min(),zPlot.max(),100) + clevel = np.linspace(zPlot.min(),zPlot.max(),10) + if colorNorm=='SymLog': + plotNorm = colors.SymLogNorm(1e-4,linscale=2) + else: + plotNorm = colors.Normalize() + if contour: + cs = ax.tricontourf(x,y,zPlot,levels=level,cmap=cmap,norm=plotNorm)#,extend='both') + else: + uniX,uniY = np.unique(x),np.unique(y) + X,Y = np.meshgrid(np.append(uniX-25,uniX[-1]+25),np.append(uniY-25,uniY[-1]+25)) + cs = ax.pcolor(X,Y,np.reshape(zPlot,(len(uniY),len(uniX))),levels=level,cmap=cmap,norm=plotNorm,edgecolors='k', linewidths=0.5) + if colorbar: + plt.colorbar(cs,cax=ax.cax,ticks=clevel,format='%1.2e') + ax.set_title(flag+' '+par,fontsize=8) + +def plotIsoStaImpedance(ax,loc,array,flag,par='abs',pSym='s',pColor=None): + + appResFact = 1/(8*np.pi**2*10**(-7)) + treshold = 1.0 # 1 meter + indUniSta = np.sqrt(np.sum((rec2nd(array[['x','y']])-loc)**2,axis=1)) < treshold + freq = array['freq'][indUniSta] + + if par == 'abs': + zPlot = np.abs(array[flag][indUniSta]) + elif par == 'real': + zPlot = np.real(array[flag][indUniSta]) + elif par == 'imag': + zPlot = np.imag(array[flag][indUniSta]) + elif par == 'res': + zPlot = (appResFact/freq)*np.abs(array[flag][indUniSta])**2 + elif par == 'phs': + zPlot = np.arctan2(array[flag][indUniSta].imag,array[flag][indUniSta].real)*(180/np.pi) + + if not pColor: + if 'xx' in flag: + lab = 'XX' + pColor = 'g' + elif 'xy' in flag: + lab = 'XY' + pColor = 'r' + elif 'yx' in flag: + lab = 'YX' + pColor = 'b' + elif 'yy' in flag: + lab = 'YY' + pColor = 'y' + + ax.plot(freq,zPlot,color=pColor,marker=pSym,label=flag) + + +def plotPsudoSectNSimpedance(ax,sectDict,array,flag,par='abs',colorbar=True,colorNorm='None',cLevel=None,contour=True): + + indSect = np.where(sectDict.values()[0]==array[sectDict.keys()[0]]) + + # Define the plot axes + if 'x' in sectDict.keys()[0]: + x = array['y'][indSect] + else: + x = array['x'][indSect] + y = array['freq'][indSect] + + if par == 'abs': + zPlot = np.abs(array[flag][indSect]) + cmap = plt.get_cmap('OrRd_r')#seismic') + if cLevel: + level = np.logspace(0,-5,31,endpoint=True) + clevel = np.logspace(0,-4,5,endpoint=True) + else: + level = np.linspace(zPlot.min(),zPlot.max(),100,endpoint=True) + clevel = np.linspace(zPlot.min(),zPlot.max(),10,endpoint=True) + + elif par == 'ares': + zPlot = np.abs(array[flag][indSect])**2/(8*np.pi**2*10**(-7)*array['freq'][indSect]) + cmap = plt.get_cmap('RdYlBu')#seismic) + if cLevel: + zMax = np.log10(cLevel[1]) + zMin = np.log10(cLevel[0]) + else: + zMax = (np.ceil(np.log10(np.abs(zPlot).max()))) + zMin = (np.floor(np.log10(np.abs(zPlot).min()))) + level = np.logspace(zMin,zMax,(zMax-zMin)*8+1,endpoint=True) + clevel = np.logspace(zMin,zMax,(zMax-zMin)*2+1,endpoint=True) + plotNorm = colors.LogNorm() + + elif par == 'aphs': + zPlot = np.arctan2(array[flag][indSect].imag,array[flag][indSect].real)*(180/np.pi) + cmap = plt.get_cmap('RdYlBu')#seismic) + if cLevel: + zMax = cLevel[1] + zMin = cLevel[0] + else: + zMax = (np.ceil(zPlot).max()) + zMin = (np.floor(zPlot).min()) + level = np.arange(zMin,zMax+.1,1) + clevel = np.arange(zMin,zMax+.1,10) + plotNorm = colors.Normalize() + + elif par == 'real': + zPlot = np.real(array[flag][indSect]) + cmap = plt.get_cmap('Spectral') #('RdYlBu') + if cLevel: + zMax = np.log10(cLevel[1]) + zMin = np.log10(cLevel[0]) + else: + zMax = (np.ceil(np.log10(np.abs(zPlot).max()))) + zMin = (np.floor(np.log10(np.abs(zPlot).min()))) + level = np.concatenate((-np.logspace(zMax,zMin-.125,(zMax-zMin)*8+1,endpoint=True),np.logspace(zMin-.125,zMax,(zMax-zMin)*8+1,endpoint=True))) + clevel = np.concatenate((-np.logspace(zMax,zMin,(zMax-zMin)*1+1,endpoint=True),np.logspace(zMin,zMax,(zMax-zMin)*1+1,endpoint=True))) + plotNorm = colors.SymLogNorm(np.abs(level).min(),linscale=0.1) + elif par == 'imag': + zPlot = np.imag(array[flag][indSect]) + cmap = plt.get_cmap('Spectral') #('RdYlBu') + + if cLevel: + zMax = np.log10(cLevel[1]) + zMin = np.log10(cLevel[0]) + else: + zMax = (np.ceil(np.log10(np.abs(zPlot).max()))) + zMin = (np.floor(np.log10(np.abs(zPlot).min()))) + level = np.concatenate((-np.logspace(zMax,zMin-.125,(zMax-zMin)*8+1,endpoint=True),np.logspace(zMin-.125,zMax,(zMax-zMin)*8+1,endpoint=True))) + clevel = np.concatenate((-np.logspace(zMax,zMin,(zMax-zMin)*1+1,endpoint=True),np.logspace(zMin,zMax,(zMax-zMin)*1+1,endpoint=True))) + plotNorm = colors.SymLogNorm(np.abs(level).min(),linscale=0.1) + + if colorNorm=='SymLog': + plotNorm = colors.SymLogNorm(np.abs(level).min(),linscale=0.1) + elif colorNorm=='Lin': + plotNorm = colors.Normalize() + elif colorNorm=='Log': + plotNorm = colors.LogNorm() + if contour: + cs = ax.tricontourf(x,y,zPlot,levels=level,cmap=cmap,norm=plotNorm)#,extend='both') + else: + uniX,uniY = np.unique(x),np.unique(y) + X,Y = np.meshgrid(np.append(uniX-25,uniX[-1]+25),np.append(uniY-25,uniY[-1]+25)) + cs = ax.pcolor(X,Y,np.reshape(zPlot,(len(uniY),len(uniX))),cmap=cmap,norm=plotNorm) + if colorbar: + csB = plt.colorbar(cs,cax=ax.cax,ticks=clevel,format='%1.2e') + # csB.on_mappable_changed(cs) + ax.set_title(flag+' '+par,fontsize=8) + return cs, csB + return cs,None + + +def plotPsudoSectNSDiff(ax,sectDict,arrayList,flag,par='abs',colorbar=True,colorNorm='SymLog',cLevel=None,contour=True,mask=None,useLog=False): + + def sortInArr(arr): + return np.sort(arr,order=['freq','x','y','z']) + # Find the index for the slice + indSect0 = np.where(sectDict.values()[0]==arrayList[0][sectDict.keys()[0]]) + indSect1 = np.where(sectDict.values()[0]==arrayList[1][sectDict.keys()[0]]) + # Extract and sort the mats + arr0 = sortInArr(arrayList[0][indSect0]) + arr1 = sortInArr(arrayList[1][indSect1]) + + # Define the plot axes + if 'x' in sectDict.keys()[0]: + x0 = arr0['y'] + x1 = arr1['y'] + else: + x0 = arr0['x'] + x1 = arr1['x'] + y0 = arr0['freq'] + y1 = arr1['freq'] + + + if par == 'abs': + if useLog: + zPlot = (np.log10(np.abs(arr0[flag])) - np.log10(np.abs(arr1[flag])))/np.log10(np.abs(arr1[flag])) + else: + zPlot = (np.abs(arr0[flag]) - np.abs(arr1[flag]))/np.abs(arr1[flag]) + if mask: + maskInd = np.logical_or(np.abs(arr0[flag])< 1e-3,np.abs(arr1[flag]) < 1e-3) + zPlot = np.ma.array(zPlot) + zPlot[maskInd] = mask + cmap = plt.get_cmap('RdYlBu')#seismic) + elif par == 'ares': + arF = 1/(8*np.pi**2*10**(-7)) + if useLog: + zPlot = (np.log10((arF/arr0['freq'])*np.abs(arr0[flag])**2) - np.log10((arF/arr1['freq'])*np.abs(arr1[flag])**2))/np.log10((arF/arr1['freq'])*np.abs(arr1[flag])**2) + else: + zPlot = ((arF/arr0['freq'])*np.abs(arr0[flag])**2 - (arF/arr1['freq'])*np.abs(arr1[flag])**2)/((arF/arr1['freq'])*np.abs(arr1[flag])**2) + if mask: + maskInd = np.logical_or(np.abs(arr0[flag])< 1e-3,np.abs(arr1[flag]) < 1e-3) + zPlot = np.ma.array(zPlot) + zPlot[maskInd] = mask + cmap = plt.get_cmap('Spectral')#seismic) + + elif par == 'aphs': + if useLog: + zPlot = (np.log10(np.arctan2(arr0[flag].imag,arr0[flag].real)*(180/np.pi)) - np.log10(np.arctan2(arr1[flag].imag,arr1[flag].real)*(180/np.pi)) )/np.log10(np.arctan2(arr1[flag].imag,arr1[flag].real)*(180/np.pi)) + else: + zPlot = ( np.arctan2(arr0[flag].imag,arr0[flag].real)*(180/np.pi) - np.arctan2(arr1[flag].imag,arr1[flag].real)*(180/np.pi) )/(np.arctan2(arr1[flag].imag,arr1[flag].real)*(180/np.pi)) + if mask: + maskInd = np.logical_or(np.abs(arr0[flag])< 1e-3,np.abs(arr1[flag]) < 1e-3) + zPlot = np.ma.array(zPlot) + zPlot[maskInd] = mask + cmap = plt.get_cmap('Spectral')#seismic) + elif par == 'real': + if useLog: + zPlot = (np.log10(arr0[flag].real) - np.log10(arr1[flag].real))/np.log10(arr1[flag].real) + else: + zPlot = (arr0[flag].real - arr1[flag].real)/arr1[flag].real + if mask: + maskInd = np.logical_or(arr0[flag].real< 1e-3,arr1[flag].real < 1e-3) + zPlot = np.ma.array(zPlot) + zPlot[maskInd] = mask + cmap = plt.get_cmap('Spectral') #('Spectral') + + elif par == 'imag': + if useLog: + zPlot = (np.log10(arr0[flag].imag) - np.log10(arr1[flag].imag))/np.log10(arr1[flag].imag) + else: + zPlot = (arr0[flag].imag - arr1[flag].imag)/arr1[flag].imag + if mask: + maskInd = np.logical_or(arr0[flag].imag< 1e-3,arr1[flag].imag < 1e-3) + zPlot = np.ma.array(zPlot) + zPlot[maskInd] = mask + cmap = plt.get_cmap('Spectral') #('RdYlBu') + + if cLevel: + zMax = np.log10(cLevel[1]) + zMin = np.log10(cLevel[0]) + else: + zMax = (np.ceil(np.log10(np.abs(zPlot).max()))) + zMin = (np.floor(np.log10(np.abs(zPlot).min()))) + + + if colorNorm=='SymLog': + level = np.concatenate((-np.logspace(zMax,zMin-.125,(zMax-zMin)*8+1,endpoint=True),np.logspace(zMin-.125,zMax,(zMax-zMin)*8+1,endpoint=True))) + clevel = np.concatenate((-np.logspace(zMax,zMin,(zMax-zMin)*1+1,endpoint=True),np.logspace(zMin,zMax,(zMax-zMin)*1+1,endpoint=True))) + plotNorm = colors.SymLogNorm(np.abs(level).min(),linscale=0.1) + elif colorNorm=='Lin': + if cLevel: + level = np.arange(cLevel[0],cLevel[1]+.1,(cLevel[1] - cLevel[0])/50.) + clevel = np.arange(cLevel[0],cLevel[1]+.1,(cLevel[1] - cLevel[0])/10.) + else: + level = np.arange(zPlot.min(),zPlot.max(),(zPlot.max() - zPlot.min())/50.) + clevel = np.arange(zPlot.min(),zPlot.max(),(zPlot.max() - zPlot.min())/10.) + plotNorm = colors.Normalize() + elif colorNorm=='Log': + level = np.logspace(zMin-.125,zMax,(zMax-zMin)*8+1,endpoint=True) + clevel = np.logspace(zMin,zMax,(zMax-zMin)*2+1,endpoint=True) + plotNorm = colors.LogNorm() + if contour: + cs = ax.tricontourf(x0,y0,zPlot*100,levels=level*100,cmap=cmap,norm=plotNorm,extend='both')#,extend='both') + else: + uniX,uniY = np.unique(x0),np.unique(y0) + X,Y = np.meshgrid(np.append(uniX-25,uniX[-1]+25),np.append(uniY-25,uniY[-1]+25)) + cs = ax.pcolor(X,Y,np.reshape(zPlot,(len(uniY),len(uniX))),cmap=cmap,norm=plotNorm) + if colorbar: + csB = plt.colorbar(cs,cax=ax.cax,ticks=clevel*100,format='%1.2e') + # csB.on_mappable_changed(cs) + ax.set_title(flag+' '+par + ' diff',fontsize=8) + return cs, csB + return cs,None