diff --git a/notebooks/DC_schumberger_FWD.ipynb b/notebooks/DC_schumberger_FWD.ipynb index a8f3d949..71f72e2a 100644 --- a/notebooks/DC_schumberger_FWD.ipynb +++ b/notebooks/DC_schumberger_FWD.ipynb @@ -1,7 +1,7 @@ { "metadata": { "name": "", - "signature": "sha256:517d797f06003268b2b3d50196af6a2b138058cd669653453dcea0e78f478069" + "signature": "sha256:b7556968258042b90534fa310f5e2522502708190e2655f8d1be84dd18c34ec2" }, "nbformat": 3, "nbformat_minor": 0, @@ -15,7 +15,6 @@ "from SimPEG import *\n", "import simpegDC as DC\n", "from simpegem1d import Utils1D\n", - "from pymatsolver import MumpsSolver\n", "%pylab inline" ], "language": "python", @@ -29,7 +28,7 @@ ] } ], - "prompt_number": 7 + "prompt_number": 12 }, { "cell_type": "heading", @@ -67,7 +66,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 8 + "prompt_number": 13 }, { "cell_type": "code", @@ -78,7 +77,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 9 + "prompt_number": 14 }, { "cell_type": "code", @@ -92,13 +91,13 @@ { "metadata": {}, "output_type": "display_data", - "png": 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Qucl4q0oiFAohyzI+nw9HUvPccDiMpmm8+WY2f/mL+a03aZLK5MlaQs/RMWMc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\nOzt37sxV7L8wKC8DDoWBo6ZbwhBCkJGRQUxMDJGRkRrhu1atWhpvuHn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GDQqvvy7SC4LWoaREoaTEPO/efdeUgb59dS69NLnuPRyW8PkM1q+XufZaD36/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\nl7y8vCYJbmKkm5izTcXrTb5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frjN9OoBGPA6bNkmsWyfxzDMKf/ubg3vvVTj0UIOSEpl1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\nuXP505/+xNKlS73yVNISnxabI80u6FZXJ7JYLGp2e/nyZWJiYoiNjfW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"text": [ - "" + "" ] } ], - "prompt_number": 10 + "prompt_number": 15 }, { "cell_type": "heading", @@ -118,7 +117,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 11 + "prompt_number": 16 }, { "cell_type": "heading", @@ -184,7 +183,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 12 + "prompt_number": 17 }, { "cell_type": "code", @@ -195,7 +194,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 13 + "prompt_number": 18 }, { "cell_type": "code", @@ -214,7 +213,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 14 + "prompt_number": 19 }, { "cell_type": "code", @@ -244,7 +243,7 @@ { "metadata": {}, "output_type": "pyout", - "prompt_number": 15, + "prompt_number": 20, "text": [ "(-600, 600)" ] @@ -254,11 +253,11 @@ "output_type": "display_data", "png": 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"text": [ - "" + "" ] } ], - "prompt_number": 15 + "prompt_number": 20 }, { "cell_type": "code", @@ -277,36 +276,44 @@ "ax.set_xlabel('x (m)')\n", "ax.set_ylabel('y (m)')\n", "ax.text(-600, 210, '(a)', fontsize = 16)\n", - "fig.savefig('DCsurvey.png', dpi = 200)" + "# fig.savefig('DCsurvey.png', dpi = 200)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, - "output_type": "display_data", - "png": 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qlCOWAPAQwLD5GwtYtvLBBx/RfgRZX/9Wx8d/r7/4xR90fPz3DSWIZi3r+PhYE4mE9vX1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\nfwXAQDd+dp3yeQTUPQZgxvF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2AMCkO+HwSgOM8UoDnRvrZvVcHcBPNpvF9PR0xcTk1OorDXTcEY6dbOznIpIW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\nQmCC\n", + "text": [ + "" ] } ], - "prompt_number": 16 + "prompt_number": 21 }, { "cell_type": "code", "collapsed": false, "input": [ "txlist = []\n", - "rx = DC.DipoleRx(np.r_[xtemp_rxP, ytemp_rx, -12.5], np.r_[xtemp_rxN, ytemp_rx, -12.5])\n", + "rx = DC.RxDipole(np.r_[xtemp_rxP, ytemp_rx, -12.5], np.r_[xtemp_rxN, ytemp_rx, -12.5])\n", "for i in range(ntx): \n", - " tx = DC.DipoleSrc([xtemp_txP[i], ytemp_tx[i], -12.5],[xtemp_txN[i], ytemp_tx[i], -12.5], [rx])\n", + " tx = DC.SrcDipole([rx], [xtemp_txP[i], ytemp_tx[i], -12.5],[xtemp_txN[i], ytemp_tx[i], -12.5])\n", " txlist.append(tx)" ], "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 18 + "prompt_number": 22 }, { "cell_type": "code", @@ -315,13 +322,16 @@ "survey = DC.SurveyDC(txlist)\n", "problem = DC.ProblemDC(mesh)\n", "problem.pair(survey)\n", - "problem.Solver = SolverLU\n", - "# problem.Solver = pymatsolver.MumpsSolver" + "try:\n", + " from pymatsolver import MumpsSolver\n", + " problem.Solver = MumpsSolver\n", + "except Exception, e:\n", + " problem.Solver = SolverLU" ], "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 19 + "prompt_number": 23 }, { "cell_type": "heading", @@ -335,12 +345,22 @@ "cell_type": "code", "collapsed": false, "input": [ + "%%time\n", "data = survey.dpred(sigma)" ], "language": "python", "metadata": {}, - "outputs": [], - "prompt_number": 20 + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "CPU times: user 4.93 s, sys: 612 ms, total: 5.54 s\n", + "Wall time: 5 s\n" + ] + } + ], + "prompt_number": 25 }, { "cell_type": "markdown", @@ -366,21 +386,29 @@ "ax.grid(True)\n", "ax.text(100, 122, '(b)', fontsize = 16)\n", "ax.legend(('True', 'simpegDC'), loc = 1, fontsize = 14)\n", - "fig.savefig('comp_dc.png')" + "# fig.savefig('comp_dc.png')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, - "output_type": "display_data", - "png": 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DuJrW19czD9ZGvW61yigilVWJIBKlY30OOEew9Mm0B8vEnwSOeTiCqohrbOpY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\nMgUREREp2f8P7ZpFX47AZacAAAAASUVORK5CYII=\n", + "text": [ + "" ] } ], - "prompt_number": 21 + "prompt_number": 26 }, { "cell_type": "code", diff --git a/notebooks/DC_schumberger_Inv.ipynb b/notebooks/DC_schumberger_Inv.ipynb index 1422f80c..3dd5927e 100644 --- a/notebooks/DC_schumberger_Inv.ipynb +++ b/notebooks/DC_schumberger_Inv.ipynb @@ -1,7 +1,7 @@ { "metadata": { "name": "", - "signature": "sha256:6a79886b331e74256f87f4817f8611dc05c2f024c9ebc5064c8b977af7cc4517" + "signature": "sha256:420f2b8a60ef08ab473ad159b33d15f48d4551a725f31a27a51cc03264657fbc" }, "nbformat": 3, "nbformat_minor": 0, @@ -15,7 +15,6 @@ "from SimPEG import *\n", "import simpegDC as DC\n", "from simpegem1d import Utils1D\n", - "from pymatsolver import MumpsSolver\n", "%pylab inline" ], "language": "python", @@ -27,9 +26,18 @@ "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] + }, + { + "output_type": "stream", + "stream": "stderr", + "text": [ + "Vendor: Continuum Analytics, Inc.\n", + "Package: mkl\n", + "Message: trial mode expires in 20 days\n" + ] } ], - "prompt_number": 25 + "prompt_number": 1 }, { "cell_type": "code", @@ -43,7 +51,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 26 + "prompt_number": 2 }, { "cell_type": "heading", @@ -89,7 +97,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 27 + "prompt_number": 3 }, { "cell_type": "code", @@ -100,7 +108,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 28 + "prompt_number": 4 }, { "cell_type": "code", @@ -116,11 +124,11 @@ "output_type": "display_data", "png": 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U4Ng3z9Hah98PoRCsWCFx220OdB2WLYsxcaKBJMHkyQ4mT9Y57DCDDz+UeOml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\nD2P16tW4dOkSJBIJ4uPjMWrUKAQEBAgOm+XHWqJIZ4mWziE3RluCkVB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"text": [ - "" + "" ] } ], - "prompt_number": 29 + "prompt_number": 5 }, { "cell_type": "heading", @@ -146,7 +154,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 30 + "prompt_number": 6 }, { "cell_type": "code", @@ -177,13 +185,13 @@ { "metadata": {}, "output_type": "display_data", - "png": 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L5Z5Ikru/V3PbknvaA3f/SZ3HBoBBqvrdWqVeTgDa93f7sJEFt7NCa3Dm8ZC57bqkE/Hp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\n1/PI+upoPU+a5zbXc/K7fUfhi/EDSUOPE22pY3UsTZzn1tZ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L5Z5Ikru/V3PbknvaA3f/SZ3HBoBBqvrdWqVeTgDa93f7sJEFt7NCa3Dm8ZC57bqkE/Hp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\n1/PI+upoPU+a5zbXc/K7fUfhi/EDSUOPE22pY3UsTZzn1tZ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"text": [ - "" + "" ] } ], - "prompt_number": 31 + "prompt_number": 7 }, { "cell_type": "code", @@ -204,7 +212,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 32 + "prompt_number": 8 }, { "cell_type": "heading", @@ -270,7 +278,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 33 + "prompt_number": 15 }, { "cell_type": "code", @@ -289,7 +297,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 34 + "prompt_number": 16 }, { "cell_type": "code", @@ -311,7 +319,7 @@ ] } ], - "prompt_number": 35 + "prompt_number": 17 }, { "cell_type": "code", @@ -341,7 +349,7 @@ { "metadata": {}, "output_type": "pyout", - "prompt_number": 36, + "prompt_number": 18, "text": [ "(-0.2, 0.6)" ] @@ -351,11 +359,11 @@ "output_type": "display_data", "png": 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"text": [ - "" + "" ] } ], - "prompt_number": 36 + "prompt_number": 18 }, { "cell_type": "code", @@ -384,11 +392,11 @@ "output_type": "display_data", "png": 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RMJJCRPoBPIAxqlkABREpAthW1U0AUNUTEVkQkUUAr6zeors8UXQIIb3HhQsX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\nJLXQiBFCCEkt/z8zAwkz3y21HgAAAABJRU5ErkJggg==\n", "text": [ - "" + "" ] } ], - "prompt_number": 37 + "prompt_number": 19 }, { "cell_type": "markdown", @@ -402,16 +410,16 @@ "collapsed": false, "input": [ "txlist = []\n", - "rx = DC.DipoleRx(np.r_[xtemp_rxP, ytemp_rx, -12.5], np.r_[xtemp_rxN, ytemp_rx, -12.5])\n", + "rx = DC.RxDipole(np.r_[xtemp_rxP, ytemp_rx, -12.5], np.r_[xtemp_rxN, ytemp_rx, -12.5])\n", "for i in range(ntx): \n", - " tx = DC.DipoleTx([xtemp_txP[i], ytemp_tx[i], -12.5],[xtemp_txN[i], ytemp_tx[i], -12.5], [rx])\n", + " tx = DC.SrcDipole([rx], [xtemp_txP[i], ytemp_tx[i], -12.5],[xtemp_txN[i], ytemp_tx[i], -12.5])\n", " txlist.append(tx)\n", "survey = DC.SurveyDC(txlist) " ], "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 38 + "prompt_number": 22 }, { "cell_type": "heading", @@ -427,13 +435,16 @@ "input": [ "problem = DC.ProblemDC(mesh, mapping=mapping)\n", "problem.pair(survey)\n", - "# problem.Solver = SolverLU\n", - "problem.Solver = pymatsolver.MumpsSolver" + "try:\n", + " from pymatsolver import MumpsSolver\n", + " problem.Solver = MumpsSolver\n", + "except Exception, e:\n", + " problem.Solver = SolverLU" ], "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 39 + "prompt_number": 29 }, { "cell_type": "heading", @@ -447,12 +458,22 @@ "cell_type": "code", "collapsed": false, "input": [ + "%%time\n", "data = survey.dpred(mtrue)" ], "language": "python", "metadata": {}, - "outputs": [], - "prompt_number": 40 + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "CPU times: user 4.7 s, sys: 582 ms, total: 5.28 s\n", + "Wall time: 4.41 s\n" + ] + } + ], + "prompt_number": 31 }, { "cell_type": "markdown", @@ -477,7 +498,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 41 + "prompt_number": 32 }, { "cell_type": "code", @@ -504,21 +525,29 @@ "ax[0].set_xlim(-1000., 1000.)\n", "ax[0].set_ylim(-500., 0.)\n", "# ax[0].text(-1000, 20, '(b)')\n", - "fig.savefig('DCfwd.png', dpi=200)" + "# fig.savefig('DCfwd.png', dpi=200)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, - "output_type": "display_data", - "png": 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jZra83krMbJmZ7QaWEXqqyzlBCL47Sl49QFcsk/f7ExERaUvm7q1uw6xkZt7X6kaIiLSJ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\n+xUpY2ZVM7tnZk/XqeJYG1+r68xsj5kdM7Nn48/9vahHu78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1PYnjUnH3vYk6DgB7FFiLiIg0V6afNfEmv54w5G0lcU6ZmQGcJiR42U/IujrW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\niuxXpIyZVc3svpk9W6eKY218ra4zs11mdsTMno8/9/aiHu3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+ "text": [ + "" ] } ], - "prompt_number": 42 + "prompt_number": 34 }, { "cell_type": "heading", @@ -544,7 +573,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 43 + "prompt_number": 35 }, { "cell_type": "code", @@ -581,7 +610,7 @@ "\n", " # beta phi_d phi_m f |proj(x-g)-x| LS Comment \n", "-----------------------------------------------------------------------------\n", - " 0 2.06e-01 6.16e+03 4.48e+00 6.16e+03 8.76e+03 0 " + " 0 4.33e-01 6.26e+03 4.48e+00 6.27e+03 8.79e+03 0 " ] }, { @@ -589,7 +618,7 @@ "stream": "stdout", "text": [ "\n", - " 1 2.06e-01 5.04e+02 3.94e+00 5.04e+02 2.75e+03 0 " + " 1 4.33e-01 6.16e+02 3.99e+00 6.18e+02 2.57e+03 0 " ] }, { @@ -597,7 +626,7 @@ "stream": "stdout", "text": [ "\n", - " 2 4.13e-02 1.61e+02 3.92e+00 1.61e+02 6.53e+02 0 " + " 2 8.65e-02 2.66e+02 3.93e+00 2.66e+02 1.05e+03 0 " ] }, { @@ -605,7 +634,7 @@ "stream": "stdout", "text": [ "\n", - " 3 4.13e-02 8.31e+01 4.15e+00 8.33e+01 2.36e+02 0 Skip BFGS " + " 3 8.65e-02 9.60e+01 3.92e+00 9.64e+01 3.61e+02 0 Skip BFGS " ] }, { @@ -613,7 +642,7 @@ "stream": "stdout", "text": [ "\n", - " 4 8.26e-03 6.26e+01 4.36e+00 6.27e+01 1.67e+02 0 Skip BFGS " + " 4 1.73e-02 7.46e+01 4.01e+00 7.46e+01 2.16e+02 0 Skip BFGS " ] }, { @@ -621,7 +650,7 @@ "stream": "stdout", "text": [ "\n", - " 5 8.26e-03 2.53e+01 5.20e+00 2.54e+01 8.12e+01 0 Skip BFGS " + " 5 1.73e-02 4.24e+01 4.41e+00 4.24e+01 1.20e+02 0 Skip BFGS " ] }, { @@ -629,7 +658,7 @@ "stream": "stdout", "text": [ "\n", - " 6 1.65e-03 1.34e+01 5.84e+00 1.34e+01 4.74e+01 0 Skip BFGS " + " 6 3.46e-03 2.73e+01 4.78e+00 2.73e+01 8.23e+01 0 Skip BFGS " ] }, { @@ -637,7 +666,7 @@ "stream": "stdout", "text": [ "\n", - " 7 1.65e-03 5.54e+00 6.93e+00 5.55e+00 1.06e+01 0 Skip BFGS " + " 7 3.46e-03 1.10e+01 5.73e+00 1.10e+01 2.42e+01 0 Skip BFGS " ] }, { @@ -646,16 +675,16 @@ "text": [ "\n", "------------------------- STOP! -------------------------\n", - "1 : |fc-fOld| = 7.8145e+00 <= tolF*(1+|f0|) = 6.1639e+02\n", - "0 : |xc-x_last| = 5.7468e-01 <= tolX*(1+|x0|) = 2.6641e-14\n", - "0 : |proj(x-g)-x| = 1.0608e+01 <= tolG = 1.0000e-01\n", - "0 : |proj(x-g)-x| = 1.0608e+01 <= 1e3*eps = 1.0000e-02\n", + "1 : |fc-fOld| = 1.6315e+01 <= tolF*(1+|f0|) = 6.2674e+02\n", + "0 : |xc-x_last| = 7.2794e-01 <= tolX*(1+|x0|) = 2.6641e-14\n", + "0 : |proj(x-g)-x| = 2.4186e+01 <= tolG = 1.0000e-01\n", + "0 : |proj(x-g)-x| = 2.4186e+01 <= 1e3*eps = 1.0000e-02\n", "1 : maxIter = 7 <= iter = 7\n", "------------------------- DONE! -------------------------\n" ] } ], - "prompt_number": 44 + "prompt_number": 36 }, { "cell_type": "code", @@ -666,7 +695,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 45 + "prompt_number": 37 }, { "cell_type": "code", @@ -694,7 +723,7 @@ "ax[1].set_xlabel('Conductivity (S/m)', fontsize = 25)\n", "ax[1].set_ylabel('Depth (m)', fontsize = 25)\n", "ax[1].text(1e-3, 10., '(b)', fontsize = 28)\n", - "fig.savefig('obspredDC.png', dpi=200)" + "# fig.savefig('obspredDC.png', dpi=200)" ], "language": "python", "metadata": {}, @@ -702,13 +731,13 @@ { "metadata": {}, "output_type": "display_data", - "png": 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UOiUiaSzm34Ybb7zRAW9oaFiWHv9C3i/XHv+hoaG0Pf6Zero7OjrczHxgYMDd3ePxuJuZ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WYFuGY3VAG7AD2JWuXDZl0pyT1X8DKSy0TrisBASbyAaR6b1g2T3+Ka0Kte4+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"text": [ - "" + "" ] } ], - "prompt_number": 46 + "prompt_number": 38 }, { "cell_type": "code", @@ -729,7 +758,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 47 + "prompt_number": 39 }, { "cell_type": "code", diff --git a/notebooks/DCexample.ipynb b/notebooks/DCexample.ipynb index 9b421cae..1c3389bb 100644 --- a/notebooks/DCexample.ipynb +++ b/notebooks/DCexample.ipynb @@ -1,7 +1,7 @@ { "metadata": { "name": "", - "signature": "sha256:c452407beb91d84a9a33b8a2b4ff3e4e90790c0049f22c5a9936f7462c1e2c5b" + "signature": "sha256:47e57cb7825ee0b5628ee304d569cc545b931cba68c34571eb6de7caf4d5ca9a" }, "nbformat": 3, "nbformat_minor": 0, @@ -14,7 +14,6 @@ "input": [ "from SimPEG import *\n", "import simpegDC as DC\n", - "from pymatsolver import MumpsSolver\n", "%pylab inline" ], "language": "python", @@ -26,9 +25,18 @@ "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] + }, + { + "output_type": "stream", + "stream": "stderr", + "text": [ + "Vendor: Continuum Analytics, Inc.\n", + "Package: mkl\n", + "Message: trial mode expires in 20 days\n" + ] } ], - "prompt_number": 27 + "prompt_number": 1 }, { "cell_type": "code", @@ -42,7 +50,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 28 + "prompt_number": 2 }, { "cell_type": "code", @@ -53,13 +61,12 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 29 + "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ - "\n", "blk1 = Utils.ModelBuilder.getIndecesBlock(np.r_[-50, 75, -50], np.r_[75, -50, -150], mesh.gridCC)\n", "sighalf = 1e-3\n", "sigma = np.ones(mesh.nC)*sighalf\n", @@ -69,7 +76,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 30 + "prompt_number": 4 }, { "cell_type": "code", @@ -83,10 +90,10 @@ { "metadata": {}, "output_type": "pyout", - "prompt_number": 31, + "prompt_number": 5, "text": [ - "(,\n", - " )" + "(,\n", + " )" ] }, { @@ -94,11 +101,11 @@ "output_type": "display_data", "png": 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"text": [ - "" + "" ] } ], - "prompt_number": 31 + "prompt_number": 5 }, { "cell_type": "code", @@ -113,7 +120,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 32 + "prompt_number": 6 }, { "cell_type": "code", @@ -130,9 +137,9 @@ { "metadata": {}, "output_type": "pyout", - "prompt_number": 33, + "prompt_number": 7, "text": [ - "[]" + "[]" ] }, { @@ -140,23 +147,23 @@ "output_type": "display_data", "png": 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"text": [ - "" + "" ] } ], - "prompt_number": 33 + "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ - "rx = DC.DipoleRx(xyz_rxP, xyz_rxN)\n", - "tx = DC.DipoleSrc([-200, 0, -12.5],[+200, 0, -12.5], [rx])" + "rx = DC.RxDipole(xyz_rxP, xyz_rxN)\n", + "tx = DC.SrcDipole([rx], [-200, 0, -12.5],[+200, 0, -12.5])" ], "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 34 + "prompt_number": 10 }, { "cell_type": "code", @@ -169,19 +176,22 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 35 + "prompt_number": 11 }, { "cell_type": "code", "collapsed": false, "input": [ - "# problem.Solver = SolverWrapD(EMUtils.Solver.Mumps)\n", - "problem.Solver = MumpsSolver" + "try:\n", + " from pymatsolver import MumpsSolver\n", + " problem.Solver = MumpsSolver\n", + "except Exception, e:\n", + " problem.Solver = SolverLU" ], "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 36 + "prompt_number": 12 }, { "cell_type": "code", @@ -192,7 +202,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 37 + "prompt_number": 13 }, { "cell_type": "code", @@ -204,7 +214,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 38 + "prompt_number": 14 }, { "cell_type": "code", @@ -216,7 +226,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 39 + "prompt_number": 15 }, { "cell_type": "code", @@ -228,7 +238,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 40 + "prompt_number": 16 }, { "cell_type": "code", @@ -240,7 +250,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 41 + "prompt_number": 17 }, { "cell_type": "code", @@ -256,7 +266,7 @@ { "metadata": {}, "output_type": "pyout", - "prompt_number": 42, + "prompt_number": 18, "text": [ "(-300, 0)" ] @@ -266,11 +276,11 @@ "output_type": "display_data", "png": 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WhWvyqlOnOBcudKNLl1L4+gYwbtxpkpN1rEebg6OjCdu3V2X+fFc+/vg+Q4aE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\n6NJlnU4lolKZExYWSEzMVcaPz750vDYsLc1ZsKAFgwZF6ZyN2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"text": [ - "" + "" ] } ], - "prompt_number": 42 + "prompt_number": 18 }, { "cell_type": "code", @@ -286,7 +296,7 @@ { "metadata": {}, "output_type": "pyout", - "prompt_number": 43, + "prompt_number": 19, "text": [ "(-300, 0)" ] @@ -296,11 +306,11 @@ "output_type": "display_data", "png": 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imz9pbmMj4OmpwtNTjaenL15e4OkJtrZwxx0QEACJiVKE8/nzUrl0CWpq2p2k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\nH/v2aZ+iCNC0aR327z+nq3ZLj0Xi6GA7QFJSDr172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PgXhw2t0kKN2exCiP8VQmQAU4G/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\nrkJggg==\n", "text": [ - "" + "" ] } ], - "prompt_number": 43 + "prompt_number": 19 }, { "cell_type": "code", @@ -311,7 +321,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 44 + "prompt_number": 20 }, { "cell_type": "code", @@ -327,14 +337,14 @@ "output_type": "stream", "stream": "stdout", "text": [ - "[[-0.12692184 2.0157894 0.463918 ]\n", - " [-0.12692184 2.0157894 0.463918 ]\n", - " [-0.12692184 2.0157894 0.463918 ]]\n", - "[ 2.35278557 2.35278557 2.35278557]\n" + "[[ 0.14499957 0.80336393 -0.2125369 ]\n", + " [ 0.14499957 0.80336393 -0.2125369 ]\n", + " [ 0.14499957 0.80336393 -0.2125369 ]]\n", + "[ 0.7358266 0.7358266 0.7358266]\n" ] } ], - "prompt_number": 45 + "prompt_number": 21 }, { "cell_type": "code", @@ -350,7 +360,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 46 + "prompt_number": 22 }, { "cell_type": "code", @@ -363,7 +373,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 47 + "prompt_number": 23 }, 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I7y4GRqNtT8LaOIYpL9pkopdspAF7VLqV3mFL0zCl5Tnjo7mMMBMSD5d7r+/7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\nGac8J78G4EtF5FMA7gTwbz32jVmOOwF8CwCIyA0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"text": [ - "" + "" ] } ], - "prompt_number": 49 + "prompt_number": 25 }, { "cell_type": "code", diff --git a/notebooks/DCfwd.png b/notebooks/DCfwd.png deleted file mode 100644 index e297ab1a..00000000 Binary files a/notebooks/DCfwd.png and /dev/null differ diff --git a/notebooks/DCinverse.ipynb b/notebooks/DCinverse.ipynb index f0be58c0..a430fe4a 100644 --- a/notebooks/DCinverse.ipynb +++ b/notebooks/DCinverse.ipynb @@ -1,7 +1,7 @@ { "metadata": { "name": "", - "signature": "sha256:789aaa72085626eec282d4a2b06df533d7a48163114ea5f5bee10382f0f44bf2" + "signature": "sha256:8f8d2c689741d8d56146a511dd2c67e7956c3d1fe0dcef0cf550c0b5c5f9c52d" }, "nbformat": 3, "nbformat_minor": 0, @@ -14,11 +14,29 @@ "input": [ "from SimPEG import *\n", "import simpegDC as DC\n", + "%pylab inline\n", "from pymatsolver import MumpsSolver" ], "language": "python", "metadata": {}, - "outputs": [], + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Populating the interactive namespace from numpy and matplotlib\n" + ] + }, + { + "output_type": "stream", + "stream": "stderr", + "text": [ + "Vendor: Continuum Analytics, Inc.\n", + "Package: mkl\n", + "Message: trial mode expires in 20 days\n" + ] + } + ], "prompt_number": 1 }, { @@ -100,9 +118,9 @@ "cell_type": "code", "collapsed": false, "input": [ - "txList = DC.Examples.WennerArray.getTxList(nElecs,aSpacing)\n", - "survey = DC.SurveyDC(txList)\n", - "print len(survey.txList)" + "srcList = DC.Examples.WennerArray.getSrcList(nElecs,aSpacing)\n", + "survey = DC.SurveyDC(srcList)\n", + "print len(survey.srcList)" ], "language": "python", "metadata": {}, @@ -129,7 +147,7 @@ "cb = plt.colorbar(dat[0])\n", "ax.set_title('Depth at '+str(mesh.vectorCCz[indz])+' m')\n", "\n", - "txLocs = np.array([[tx.loc[0][0], tx.loc[1][0]] for tx in survey.txList]).flatten()\n", + "txLocs = np.array([[tx.loc[0][0], tx.loc[1][0]] for tx in survey.srcList]).flatten()\n", "ax.plot(txLocs, txLocs*0, 'w.', ms = 3)" ], "language": "python", @@ -140,15 +158,15 @@ "output_type": "pyout", "prompt_number": 8, "text": [ - "[]" + "[]" ] }, { "metadata": {}, "output_type": "display_data", - "png": 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p06fj5MmTPtulyiMcS6dPi88sz3x/eb7KGQ/NNjhLre/FldimQONSy73lScmX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\n8ccfl6PZREShF4SnRSuFLAP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"text": [ - "" + "" ] } ], @@ -265,7 +283,7 @@ "\n", " # beta phi_d phi_m f |proj(x-g)-x| LS Comment \n", "-----------------------------------------------------------------------------\n", - " 0 6.56e+00 1.91e+03 0.00e+00 1.91e+03 2.21e+03 0 " + " 0 6.59e+00 1.84e+03 1.05e+04 7.11e+04 2.15e+03 0 " ] }, { @@ -273,10 +291,46 @@ "stream": "stdout", "text": [ "\n", - " 1 6.56e+00 2.10e+02 1.61e+01 3.15e+02 1.80e+02 0 " + " 1 6.59e+00 1.98e+02 1.07e+04 7.10e+04 1.89e+02 0 " + ] + }, + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + " 2 1.32e+00 1.70e+02 1.07e+04 1.43e+04 2.63e+02 0 " + ] + }, + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + " 3 1.32e+00 9.16e+01 1.07e+04 1.42e+04 1.81e+02 0 " + ] + }, + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + "------------------------------------------------------------------" + ] + }, + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + "0 : ft = 1.4181e+04 <= alp*descent = 1.4181e+04\n", + "1 : maxIterLS = 10 <= iterLS = 10\n", + "------------------------- End Linesearch -------------------------\n", + "The linesearch got broken. Boo.\n" ] } - ] + ], + "prompt_number": 13 }, { "cell_type": "code", @@ -290,21 +344,21 @@ { "metadata": {}, "output_type": "pyout", - "prompt_number": 31, + "prompt_number": 14, "text": [ - "" + "" ] }, { "metadata": {}, "output_type": "display_data", - "png": 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7Gs4gvYlTtOew+glx+ivO08YUli9cDuNiiztpeel7Lp4PM8VdwF7+rsJe7hoA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\npMRpvwkTJtC+fXsSEhxj0pw9e5bk5GR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FaPcBbhJMN+hLOgL7QNIC9sHA2YLfhfYpyqy3kRDukzUoRkROJ6zSyYyz+QAs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\nRuE4juMUxN1jHcdxnIL4qyfHcRynIF3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"text": [ - "" + "" ] } ], - "prompt_number": 24 + "prompt_number": 16 }, { "cell_type": "code", diff --git a/notebooks/ThreeMesh.png b/notebooks/ThreeMesh.png deleted file mode 100644 index a31e41b9..00000000 Binary files a/notebooks/ThreeMesh.png and /dev/null differ diff --git a/notebooks/ThreeMeshDC.ipynb b/notebooks/ThreeMeshDC.ipynb index 5fff6135..4797e7e3 100644 --- a/notebooks/ThreeMeshDC.ipynb +++ b/notebooks/ThreeMeshDC.ipynb @@ -1,7 +1,7 @@ { "metadata": { "name": "", - "signature": "sha256:4ee97c21ba8374164213c87af95095c4694b605af46490529f6e0f5ff4051dea" + "signature": "sha256:189621fc59a92a7c23842dcbc46e2decfeef63b14613f47a605c97b622f48fc0" }, "nbformat": 3, "nbformat_minor": 0, @@ -18,8 +18,18 @@ ], "language": "python", "metadata": {}, - "outputs": [], - "prompt_number": 5 + "outputs": [ + { + "output_type": "stream", + "stream": "stderr", + "text": [ + "Vendor: Continuum Analytics, Inc.\n", + "Package: mkl\n", + "Message: trial mode expires in 20 days\n" + ] + } + ], + "prompt_number": 1 }, { "cell_type": "code", @@ -31,7 +41,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 17 + "prompt_number": 2 }, { "cell_type": "code", @@ -42,7 +52,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 18 + "prompt_number": 3 }, { "cell_type": "code", @@ -52,12 +62,12 @@ "tM = Mesh.TensorMesh(sz)\n", "qM = Mesh.TreeMesh(sz)\n", "qM.refine(lambda X: 1 if np.sqrt(((X-0.5)**2).sum()) < 0.45 else 0)\n", - "rM = Mesh.LogicallyRectMesh(Utils.meshutils.exampleLrmGrid(sz,'rotate'))" + "rM = Mesh.CurvilinearMesh(Utils.meshutils.exampleLrmGrid(sz,'rotate'))" ], "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 57 + "prompt_number": 5 }, { "cell_type": "code", @@ -68,7 +78,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 58 + "prompt_number": 6 }, { "cell_type": "code", @@ -82,13 +92,13 @@ { "metadata": {}, "output_type": "pyout", - "prompt_number": 59, + "prompt_number": 7, "text": [ "0" ] } ], - "prompt_number": 59 + "prompt_number": 7 }, { "cell_type": "code", @@ -110,7 +120,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 60 + "prompt_number": 8 }, { "cell_type": "code", @@ -124,7 +134,7 @@ { "metadata": {}, "output_type": "pyout", - "prompt_number": 61, + "prompt_number": 9, "text": [ "array([ 0.03333333, 0.1 , 0.16666667, 0.23333333, 0.3 ,\n", " 0.36666667, 0.43333333, 0.5 , 0.56666667, 0.63333333,\n", @@ -132,7 +142,7 @@ ] } ], - "prompt_number": 61 + "prompt_number": 9 }, { "cell_type": "code", @@ -143,7 +153,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 62 + "prompt_number": 10 }, { "cell_type": "code", @@ -156,7 +166,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 63 + "prompt_number": 11 }, { "cell_type": "code", @@ -169,7 +179,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 64 + "prompt_number": 12 }, { "cell_type": "code", @@ -182,7 +192,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 65 + "prompt_number": 13 }, { "cell_type": "code", @@ -194,7 +204,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 66 + "prompt_number": 14 }, { "cell_type": "code", @@ -208,8 +218,17 @@ ], "language": "python", "metadata": {}, - "outputs": [], - "prompt_number": 67 + "outputs": [ + { + "output_type": "stream", + "stream": "stderr", + "text": [ + "/Users/sgkang/anaconda/lib/python2.7/site-packages/matplotlib/tri/triangulation.py:110: FutureWarning: comparison to `None` will result in an elementwise object comparison in the future.\n", + " self._neighbors)\n" + ] + } + ], + "prompt_number": 15 }, { "cell_type": "code", @@ -242,8 +261,7 @@ ], "language": "python", "metadata": {}, - "outputs": [], - "prompt_number": 68 + "outputs": [] }, { "cell_type": "code", @@ -251,8 +269,7 @@ "input": [], "language": "python", "metadata": {}, - "outputs": [], - "prompt_number": 68 + 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