From 788f7ed64d4e3061ebb91f52eec2a1c41f112fdd Mon Sep 17 00:00:00 2001 From: Joshua Coles Date: Fri, 17 Mar 2023 20:11:15 +0000 Subject: [PATCH] Some graph work --- notebooks/3d.ipynb | 118 ++++++++++++++++++++++++++++++++++++++++++-- notebooks/graphs.py | 26 ++++++++++ notebooks/rmax-n.py | 25 ++-------- 3 files changed, 144 insertions(+), 25 deletions(-) create mode 100644 notebooks/graphs.py diff --git a/notebooks/3d.ipynb b/notebooks/3d.ipynb index 2bc1b2b..562318b 100644 --- a/notebooks/3d.ipynb +++ b/notebooks/3d.ipynb @@ -176,12 +176,24 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 24, + "outputs": [], + "source": [ + "rust_offaxis = read_load(\"../data/rust-3d-offaxis\", read_xyz_alt)\n", + "rust_offaxis_meaned_by_N = mean_across(rust_direct)" + ], + "metadata": { + "collapsed": false + } + }, + { + "cell_type": "code", + "execution_count": 27, "outputs": [ { "data": { "text/plain": "
", - "image/png": 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" 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" }, "metadata": {}, "output_type": "display_data" @@ -211,8 +223,9 @@ "\n", "\n", "nc_fd(direct_meaned_by_N, label=\"IPC + 3D Direct\", color=\"tab:blue\")\n", - "nc_fd(offaxis_meaned_by_N, label=\"IPC + 3D Off-axis\", color=\"tab:green\")\n", - "nc_fd(rust_direct_meaned_by_N, label=\"NF 3D Off-axis\", color=\"tab:orange\")\n", + "# nc_fd(offaxis_meaned_by_N, label=\"IPC + 3D Off-axis\", color=\"tab:green\")\n", + "nc_fd(rust_direct_meaned_by_N, label=\"NF 3D Direct\", color=\"tab:orange\")\n", + "nc_fd(rust_offaxis_meaned_by_N, label=\"NF 3D Off-axis\", color=\"tab:purple\")\n", "\n", "plt.plot([np.min(without_prefix.N), np.max(without_prefix.N)], [2.5, 2.5], color='tab:red', label='Theory')\n", "plt.fill_between(without_prefix.N, 2.5 - 0.01, 2.5 + 0.01, alpha=0.2, color='tab:red', label='Theory error band')\n", @@ -230,7 +243,102 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 28, + "outputs": [], + "source": [ + "from notebooks.graphs import cr_n" + ], + "metadata": { + "collapsed": false + } + }, + { + "cell_type": "code", + "execution_count": 33, + "outputs": [ + { + "data": { + "text/plain": "(array([1.89170474, 0.58907793]),\n array([[ 5.09493737e-07, -1.86623148e-06],\n [-1.86623148e-06, 6.96759885e-06]]))" + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "text/plain": "
", + "image/png": 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" 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" + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "cr_n(rust_direct)" + ], + "metadata": { + "collapsed": false + } + }, + { + "cell_type": "code", + "execution_count": 26, + "outputs": [ + { + "data": { + "text/plain": "(array([1.89843243, 0.71870004]),\n array([[ 5.17525369e-07, -1.85359693e-06],\n [-1.85359693e-06, 6.77175199e-06]]))" + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "text/plain": "
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" + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "cr_n(rust_offaxis)" + ], + "metadata": { + "collapsed": false + } + }, + { + "cell_type": "code", + "execution_count": null, "outputs": [], "source": [], "metadata": { diff --git a/notebooks/graphs.py b/notebooks/graphs.py new file mode 100644 index 0000000..c90104b --- /dev/null +++ b/notebooks/graphs.py @@ -0,0 +1,26 @@ +import numpy as np +import scipy +from matplotlib import pyplot as plt + +from notebooks.lib import linear + + +def cr_n(df, ignore_prefix=0, data_color="tab:blue", fit_color="tab:red"): + p, pcov = scipy.optimize.curve_fit(linear, np.log(df.cr[df.N > ignore_prefix]), np.log(df.N[df.N > ignore_prefix])) + linear_extent = np.linspace(0, np.max(np.log(df.cr))) + + plt.scatter( + np.log(df.cr), + np.log(df.N), + s=1, marker='.', color=data_color + ) + + plt.plot( + linear_extent, + linear(linear_extent, *p), + color=fit_color + ) + + plt.xlabel("$\\log r_{max}$") + plt.ylabel("$\\log N$") + return p, pcov diff --git a/notebooks/rmax-n.py b/notebooks/rmax-n.py index b7b95ad..e3f21d2 100644 --- a/notebooks/rmax-n.py +++ b/notebooks/rmax-n.py @@ -1,29 +1,14 @@ -import numpy as np import matplotlib.pyplot as plt -import scipy +from notebooks.graphs import cr_n from notebooks.lib import read_load - -def linear(x, a, b): - return x * a + b - - alpha = read_load("../data/alpha") -meaned_by_N = alpha.groupby('N').agg({'fd': ['mean', 'std']}) \ - .reset_index() \ - .replace([np.inf, -np.inf], np.nan) -without_prefix = alpha[alpha.N > 50] - -p, pcov = scipy.optimize.curve_fit(linear, np.log(without_prefix.cr), np.log(without_prefix.N)) -linear_extent = np.linspace(0, np.max(np.log(alpha.cr))) - -plt.scatter(np.log(alpha.cr), np.log(alpha.N), s=1, marker='.', color="tab:blue") -plt.plot(linear_extent, linear(linear_extent, *p), color="tab:red") - -plt.xlabel("$\\log r_{max}$") -plt.ylabel("$\\log N$") +cr_n( + alpha, + ignore_prefix=50 +) plt.savefig('../figures/rmax-n.svg') plt.savefig('../figures/rmax-n.png')