From 3cce7fb357bd71b1d262407d4c976a8f12608eca Mon Sep 17 00:00:00 2001 From: philippun Date: Wed, 9 Aug 2023 17:33:58 +0200 Subject: [PATCH] fixed a bug resulting in too high results --- examples/second_example.cpp | 9 +- proto/BTCS.ipynb | 160281 +-------------------------------- 2 files changed, 132 insertions(+), 160158 deletions(-) diff --git a/examples/second_example.cpp b/examples/second_example.cpp index 3edb79b..e146cba 100644 --- a/examples/second_example.cpp +++ b/examples/second_example.cpp @@ -17,8 +17,9 @@ int main(int argc, char *argv[]) { vector alpha(n * m, 1); vector field(n * m, 0); - field[n * 19] = 2000; - field[n * 19 + 19] = 2000; + field[0] = 2000; + // field[n * 19] = 2000; + // field[n * 19 + 19] = 2000; // for (int i = 1; i<20; i++) { // for (int j = 0; j<20; j++ ) { @@ -42,7 +43,7 @@ int main(int argc, char *argv[]) { input_param.setDomainSize(n, m); BoundaryCondition bc(n, m); boundary_condition bc_constant; - bc_constant.type = BC_TYPE_CLOSED; + bc_constant.type = BC_TYPE_CONSTANT; bc_constant.value = 0; bc.setSide(BC_SIDE_LEFT, bc_constant); bc.setSide(BC_SIDE_RIGHT, bc_constant); @@ -73,7 +74,7 @@ int main(int argc, char *argv[]) { exit(1); } - int iterations = 1000; + int iterations = 100; for (int t = 0; t < iterations; t++) { double result = ADI_2D(input_param, &field[0], &alpha[0]); diff --git a/proto/BTCS.ipynb b/proto/BTCS.ipynb index 4a83177..c71e748 100644 --- a/proto/BTCS.ipynb +++ b/proto/BTCS.ipynb @@ -84,7 +84,7 @@ }, { "cell_type": "code", - "execution_count": 42, + "execution_count": 217, "metadata": {}, "outputs": [], "source": [ @@ -94,7 +94,7 @@ }, { "cell_type": "code", - "execution_count": 177, + "execution_count": 238, "metadata": {}, "outputs": [], "source": [ @@ -128,7 +128,7 @@ " cm[n,n-1] = -s_x * alpha_interblock(alpha_x[r, n-1], alpha_x[r, n]) ## changed to - !!!\n", " cm[n,n] = 1 + s_x * (alpha_interblock(alpha_x[r, n], alpha_x[r, n-1]) + 2 * alpha_x[r,n]) # alpha_x[n,n]? -> changed to [r,n]!!! and changed to +alpha_interblock\n", "\n", - " print(cm)\n", + " # print(cm)\n", " return cm\n", "\n", "# creates the solution vector for a given row\n", @@ -137,10 +137,6 @@ "\n", " sv = np.zeros(concentrations.shape[1])\n", "\n", - " # inner\n", - " # TODO: iterate over columns of alpha_y alpha_y[i, row_index+ -1 .. 0 .. 1]\n", - " # TODO: error with current indices: i starts from 0 --> i = -1 and i-1 = -2\n", - "\n", " # inner rows\n", " if row_index > 0 and row_index < sv.shape[0]-1:\n", " for i in range(0, sv.shape[0]):\n", @@ -154,66 +150,65 @@ " + s_y * alpha_interblock(alpha_y[row_index,i], alpha_y[row_index-1,i]) * concentrations[row_index-1,i]\n", "\n", " # first row\n", + " # TODO check formula for alpha boundary cases\n", " if row_index == 0:\n", " for i in range(0, sv.shape[0]):\n", " sv[i] = s_y * alpha_interblock(alpha_y[row_index+1,i],alpha_y[row_index,i]) * concentrations[row_index+1,i] \\\n", " + (\n", " 1 - s_y * (\n", - " alpha_interblock(alpha_y[row_index+1,i], alpha_y[row_index,i]) \\\n", - " + alpha_y[row_index,i]\n", - " )\n", - " ) * concentrations[row_index,i] \\\n", + " alpha_interblock(alpha_y[row_index+1,i], alpha_y[row_index,i]) \\\n", + " + 2 * alpha_y[row_index,i]\n", + " )\n", + " ) * concentrations[row_index,i] \\\n", " + s_y * alpha_y[row_index,i] * bc_top\n", "\n", "\n", " # last row\n", + " # TODO check formula for alpha boundary cases\n", " if row_index == sv.shape[0]-1:\n", " for i in range(0, sv.shape[0]):\n", " i = i\n", " sv[i] = s_y * alpha_y[row_index,i]*bc_bottom \\\n", - " + (1 - s_y *(alpha_y[row_index,i] \\\n", - " + alpha_interblock(alpha_y[row_index,i], alpha_y[row_index-1,i])))*concentrations[row_index,i] \\\n", - " + s_y * alpha_interblock(alpha_y[row_index,i], alpha_y[row_index-1,i])*concentrations[row_index-1,i]\n", + " + (\n", + " 1 - s_y * (\n", + " 2 * alpha_y[row_index,i] \\\n", + " + alpha_interblock(alpha_y[row_index,i], alpha_y[row_index-1,i])\n", + " )\n", + " ) * concentrations[row_index,i] \\\n", + " + s_y * alpha_interblock(alpha_y[row_index,i], alpha_y[row_index-1,i]) * concentrations[row_index-1,i]\n", "\n", "\n", " # first column (additional fixed concentration change from perpendicular dimension)\n", + " # TODO check correctness of additional summand\n", " i = 0\n", - " # sv[0] += s_x * alpha_x[row_index,0] * bc_left # alpha_x[row_index,0]?\n", " sv[0] += 2 * s_x * alpha_x[row_index,0] * bc_left # alpha_x[row_index,0]?\n", "\n", " # last column (additional fixed concentration change from perpendicular direction)\n", + " # TODO check correctness of additional summand\n", " n = sv.shape[0]-1\n", - " # sv[n] += s_x * alpha_x[row_index,n] * bc_right\n", " sv[n] += 2 * s_x * alpha_x[row_index,n] * bc_right\n", "\n", - "\n", + " # print(sv)\n", " return sv\n", "\n", - "\n", - "def solve_row(A, b):\n", - " return np.linalg.solve(A,b)\n", - "\n", "def calc_sweep(concentrations, alpha_x, alpha_y, s_x, s_y, bc_left, bc_right, bc_top, bc_bottom):\n", "\n", " concentrations_t1 = np.zeros((concentrations.shape[0], concentrations.shape[1]))\n", "\n", " for i in range(concentrations.shape[0]):\n", " A = create_coeff_matrix(alpha_x, i, s_x)\n", - " # print(i)\n", " b = create_solution_vector(concentrations, alpha_x, alpha_y, i, s_x, s_y, bc_left, bc_right, bc_top, bc_bottom)\n", - " # print(\"C t1\")\n", - " # print(concentrations_t1[i,:])\n", - " # print(\"C result row\")\n", - " # print(solve_row(A,b))\n", - " concentrations_t1[i,:] = solve_row(A,b)\n", + " concentrations_t1[i,:] = np.linalg.solve(A,b)\n", "\n", + " # print(concentrations_t1)\n", " return concentrations_t1\n", "\n", - "def calc_round(concentrations, alpha_x, alpha_y, s_x, s_y, bc_left, bc_right, bc_top, bc_bottom):\n", + "def calc_iteration(concentrations, alpha_x, alpha_y, s_x, s_y, bc_left, bc_right, bc_top, bc_bottom):\n", " concentrations = calc_sweep(concentrations, alpha_x, alpha_y, s_x, s_y, bc_left, bc_right, bc_top, bc_bottom)\n", " # concentrations = calc_sweep(concentrations, alpha_x, alpha_y, s_x, s_y, bc_left, bc_right, bc_top, bc_bottom, True)\n", " concentrations = calc_sweep(concentrations.transpose(), alpha_y.transpose(), alpha_x.transpose(), s_y, s_x, bc_top, bc_bottom, bc_left, bc_right).transpose()\n", " \n", + " # print(concentrations)\n", " return concentrations\n", "\n", "\n", @@ -221,14 +216,14 @@ " s_x = sub(delta_t, delta_x)\n", " s_y = sub(delta_t, delta_y)\n", " for i in range(iterations):\n", - " concentrations = calc_round(concentrations, alpha_x, alpha_y, s_x, s_y, bc_left, bc_right, bc_top, bc_bottom)\n", + " concentrations = calc_iteration(concentrations, alpha_x, alpha_y, s_x, s_y, bc_left, bc_right, bc_top, bc_bottom)\n", "\n", " return concentrations\n" ] }, { "cell_type": "code", - "execution_count": 175, + "execution_count": 239, "metadata": {}, "outputs": [ { @@ -298,160108 +293,108 @@ " [1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1.]\n", " [1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1.]\n", " [1. 1. 1. 1. 1. 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0. 0. ]\n", - " [ 0. 0. -0.05 1.1 -0.05 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. -0.05 1.1 -0.05 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. -0.05 1.1 -0.05 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. -0.05 1.1 -0.05 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. -0.05 1.1 -0.05 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. -0.05 1.1 -0.05 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. -0.05 1.1 -0.05 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. -0.05 1.1 -0.05\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. -0.05 1.1\n", - " -0.05 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. -0.05\n", - " 1.1 -0.05 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " -0.05 1.1 -0.05 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. -0.05 1.1 -0.05 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. -0.05 1.1 -0.05 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. -0.05 1.1 -0.05 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. -0.05 1.1 -0.05 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. -0.05 1.1 -0.05]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. -0.05 1.15]]\n", - "[[ 1.15 -0.05 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [-0.05 1.1 -0.05 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. -0.05 1.1 -0.05 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. -0.05 1.1 -0.05 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. -0.05 1.1 -0.05 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. -0.05 1.1 -0.05 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. -0.05 1.1 -0.05 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. -0.05 1.1 -0.05 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. -0.05 1.1 -0.05 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. -0.05 1.1 -0.05 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. -0.05 1.1 -0.05\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. -0.05 1.1\n", - " -0.05 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. -0.05\n", - " 1.1 -0.05 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " -0.05 1.1 -0.05 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. -0.05 1.1 -0.05 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. -0.05 1.1 -0.05 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. -0.05 1.1 -0.05 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. -0.05 1.1 -0.05 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. -0.05 1.1 -0.05]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. -0.05 1.15]]\n", "\n", "Test Concentrations t=t+100:\n", - "[[3.43648430e-02 7.85934573e-02 1.12243718e-01 1.30914640e-01\n", - " 1.34337928e-01 1.25075819e-01 1.07370352e-01 8.58093558e-02\n", - " 6.42597404e-02 4.53045490e-02 3.01804870e-02 1.90537932e-02\n", - " 1.14287566e-02 6.52723745e-03 3.55638807e-03 1.85152580e-03\n", - " 9.21618273e-04 4.36724151e-04 1.90738537e-04 6.17906393e-05]\n", - " [8.05582937e-02 1.84239306e-01 2.63122471e-01 3.06890970e-01\n", - " 3.14915866e-01 2.93203567e-01 2.51698295e-01 2.01154863e-01\n", - " 1.50638111e-01 1.06203225e-01 7.07492985e-02 4.46660287e-02\n", - " 2.67913672e-02 1.53011935e-02 8.33690859e-03 4.34035910e-03\n", - " 2.16046369e-03 1.02377166e-03 4.47130547e-04 1.44850028e-04]\n", - " [1.15049811e-01 2.63122471e-01 3.75779936e-01 4.38288181e-01\n", - " 4.49748984e-01 4.18740435e-01 3.59464431e-01 2.87280526e-01\n", - " 2.15134723e-01 1.51674774e-01 1.01041035e-01 6.37900571e-02\n", - " 3.82622519e-02 2.18524913e-02 1.19064061e-02 6.19870991e-03\n", - " 3.08547919e-03 1.46210565e-03 6.38572176e-04 2.06868437e-04]\n", - " [1.34187506e-01 3.06890970e-01 4.38288181e-01 5.11194216e-01\n", - " 5.24561440e-01 4.88394845e-01 4.19258711e-01 3.35067541e-01\n", - " 2.50920811e-01 1.76904763e-01 1.17848473e-01 7.44010667e-02\n", - " 4.46268978e-02 2.54874935e-02 1.38869497e-02 7.22981998e-03\n", - " 3.59872610e-03 1.70531623e-03 7.44793989e-04 2.41279489e-04]\n", - " [1.37696377e-01 3.14915866e-01 4.49748984e-01 5.24561440e-01\n", - " 5.38278204e-01 5.01165888e-01 4.30221912e-01 3.43829226e-01\n", - " 2.57482143e-01 1.81530648e-01 1.20930094e-01 7.63465812e-02\n", - " 4.57938471e-02 2.61539663e-02 1.42500797e-02 7.41887263e-03\n", - " 3.69282923e-03 1.74990857e-03 7.64269616e-04 2.47588709e-04]\n", - " [1.28202714e-01 2.93203567e-01 4.18740435e-01 4.88394845e-01\n", - " 5.01165888e-01 4.66612331e-01 4.00559683e-01 3.20123457e-01\n", - " 2.39729690e-01 1.69014773e-01 1.12592406e-01 7.10827633e-02\n", - " 4.26365286e-02 2.43507459e-02 1.32675887e-02 6.90736847e-03\n", - " 3.43822214e-03 1.62925876e-03 7.11576019e-04 2.30518372e-04]\n", - " [1.10054611e-01 2.51698295e-01 3.59464431e-01 4.19258711e-01\n", - " 4.30221912e-01 4.00559683e-01 3.43857307e-01 2.74807462e-01\n", - " 2.05794065e-01 1.45089402e-01 9.66540648e-02 6.10204387e-02\n", - " 3.66009924e-02 2.09037061e-02 1.13894571e-02 5.92957610e-03\n", - " 2.95151474e-03 1.39862436e-03 6.10846833e-04 1.97886683e-04]\n", - " [8.79545897e-02 2.01154863e-01 2.87280526e-01 3.35067541e-01\n", - " 3.43829226e-01 3.20123457e-01 2.74807462e-01 2.19623488e-01\n", - " 1.64468643e-01 1.15954059e-01 7.72450015e-02 4.87669494e-02\n", - " 2.92511621e-02 1.67060415e-02 9.10234491e-03 4.73886035e-03\n", - " 2.35882227e-03 1.11776718e-03 4.88182930e-04 1.58149139e-04]\n", - " [6.58662339e-02 1.50638111e-01 2.15134723e-01 2.50920811e-01\n", - " 2.57482143e-01 2.39729690e-01 2.05794065e-01 1.64468643e-01\n", - " 1.23165035e-01 8.68340943e-02 5.78461835e-02 3.65199281e-02\n", - " 2.19052115e-02 1.25105925e-02 6.81643995e-03 3.54877312e-03\n", - " 1.76644266e-03 8.37058243e-04 3.65583777e-04 1.18432571e-04]\n", - " [4.64371627e-02 1.06203225e-01 1.51674774e-01 1.76904763e-01\n", - " 1.81530648e-01 1.69014773e-01 1.45089402e-01 1.15954059e-01\n", - " 8.68340943e-02 6.12199715e-02 4.07828484e-02 2.57473631e-02\n", - " 1.54436622e-02 8.82024653e-03 4.80574206e-03 2.50196413e-03\n", - " 1.24538144e-03 5.90144714e-04 2.57744709e-04 8.34976015e-05]\n", - " [3.09349992e-02 7.07492985e-02 1.01041035e-01 1.17848473e-01\n", - " 1.20930094e-01 1.12592406e-01 9.66540648e-02 7.72450015e-02\n", - " 5.78461835e-02 4.07828484e-02 2.71682702e-02 1.71520957e-02\n", - " 1.02880893e-02 5.87577499e-03 3.20143648e-03 1.66673100e-03\n", - " 8.29634534e-04 3.93136126e-04 1.71701540e-04 5.56235154e-05]\n", - " [1.95301380e-02 4.46660287e-02 6.37900571e-02 7.44010667e-02\n", - " 7.63465812e-02 7.10827633e-02 6.10204387e-02 4.87669494e-02\n", - " 3.65199281e-02 2.57473631e-02 1.71520957e-02 1.08286020e-02\n", - " 6.49516113e-03 3.70954257e-03 2.02115720e-03 1.05225431e-03\n", - " 5.23771694e-04 2.48197931e-04 1.08400028e-04 3.51166950e-05]\n", - " [1.17144755e-02 2.67913672e-02 3.82622519e-02 4.46268978e-02\n", - " 4.57938471e-02 4.26365286e-02 3.66009924e-02 2.92511621e-02\n", - " 2.19052115e-02 1.54436622e-02 1.02880893e-02 6.49516113e-03\n", - " 3.89589699e-03 2.22504037e-03 1.21232100e-03 6.31158231e-04\n", - " 3.14166273e-04 1.48872915e-04 6.50199947e-05 2.10635308e-05]\n", - " [6.69041839e-03 1.53011935e-02 2.18524913e-02 2.54874935e-02\n", - " 2.61539663e-02 2.43507459e-02 2.09037061e-02 1.67060415e-02\n", - " 1.25105925e-02 8.82024653e-03 5.87577499e-03 3.70954257e-03\n", - " 2.22504037e-03 1.27077401e-03 6.92385650e-04 3.60469630e-04\n", - " 1.79427907e-04 8.50248986e-05 3.71344811e-05 1.20298885e-05]\n", - " [3.64529778e-03 8.33690859e-03 1.19064061e-02 1.38869497e-02\n", - " 1.42500797e-02 1.32675887e-02 1.13894571e-02 9.10234491e-03\n", - " 6.81643995e-03 4.80574206e-03 3.20143648e-03 2.02115720e-03\n", - " 1.21232100e-03 6.92385650e-04 3.77248734e-04 1.96403134e-04\n", - " 9.77619202e-05 4.63261123e-05 2.02328515e-05 6.55452667e-06]\n", - " [1.89781394e-03 4.34035910e-03 6.19870991e-03 7.22981998e-03\n", - " 7.41887263e-03 6.90736847e-03 5.92957610e-03 4.73886035e-03\n", - " 3.54877312e-03 2.50196413e-03 1.66673100e-03 1.05225431e-03\n", - " 6.31158231e-04 3.60469630e-04 1.96403134e-04 1.02251347e-04\n", - " 5.08967845e-05 2.41182881e-05 1.05336217e-05 3.41241590e-06]\n", - " [9.44658730e-04 2.16046369e-03 3.08547919e-03 3.59872610e-03\n", - " 3.69282923e-03 3.43822214e-03 2.95151474e-03 2.35882227e-03\n", - " 1.76644266e-03 1.24538144e-03 8.29634534e-04 5.23771694e-04\n", - " 3.14166273e-04 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.imshow(testConcentrations)\n", - "plt.colorbar()\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 164, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", 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", 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