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author | Patrik Müller <patrik.mueller@ost.ch> | 2022-07-14 15:03:28 +0200 |
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committer | Patrik Müller <patrik.mueller@ost.ch> | 2022-07-14 15:03:28 +0200 |
commit | fde57297b3efbef28d09a532e1b3895d2b2ad917 (patch) | |
tree | e63c7ac6c5899acb8ba204ccb090b71ca861c50a /buch/papers/laguerre/scripts/rel_error_simple.py | |
parent | Bugfix (diff) | |
download | SeminarSpezielleFunktionen-fde57297b3efbef28d09a532e1b3895d2b2ad917.tar.gz SeminarSpezielleFunktionen-fde57297b3efbef28d09a532e1b3895d2b2ad917.zip |
Correct Makefile, add text to gamma.tex, separate python-scripts for each image
Diffstat (limited to 'buch/papers/laguerre/scripts/rel_error_simple.py')
-rw-r--r-- | buch/papers/laguerre/scripts/rel_error_simple.py | 29 |
1 files changed, 29 insertions, 0 deletions
diff --git a/buch/papers/laguerre/scripts/rel_error_simple.py b/buch/papers/laguerre/scripts/rel_error_simple.py new file mode 100644 index 0000000..0929976 --- /dev/null +++ b/buch/papers/laguerre/scripts/rel_error_simple.py @@ -0,0 +1,29 @@ +if __name__ == "__main__": + import matplotlib.pyplot as plt + import numpy as np + import scipy.special + + import gamma_approx as ga + + # Simple / naive + xmin = -5 + xmax = 30 + ns = np.arange(2, 12, 2) + ylim = np.array([-11, 6]) + x = np.linspace(xmin + ga.EPSILON, xmax - ga.EPSILON, 400) + gamma = scipy.special.gamma(x) + fig, ax = plt.subplots(num=1, clear=True, constrained_layout=True, figsize=(5, 2.5)) + for n in ns: + gamma_lag = ga.eval_laguerre_gamma(x, n=n) + rel_err = ga.calc_rel_error(gamma, gamma_lag) + ax.semilogy(x, np.abs(rel_err), label=f"$n={n}$") + ax.set_xlim(x[0], x[-1]) + ax.set_ylim(*(10.0 ** ylim)) + ax.set_xticks(np.arange(xmin, xmax + ga.EPSILON, 5)) + ax.set_xticks(np.arange(xmin, xmax), minor=True) + ax.set_yticks(10.0 ** np.arange(*ylim, 2)) + ax.set_xlabel(r"$z$") + # ax.set_ylabel("Relativer Fehler") + ax.legend(ncol=3, fontsize=ga.fontsize) + ax.grid(1, "both") + fig.savefig(f"{ga.img_path}/rel_error_simple.pgf") |