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author | Joshua Baer <joshua.baer@ost.ch> | 2022-07-26 09:31:45 +0200 |
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committer | Joshua Baer <joshua.baer@ost.ch> | 2022-07-26 09:31:45 +0200 |
commit | cf5f773ad34a838a729e06add110522c65d8b34a (patch) | |
tree | 0aeb61050db945cadb59852891bb38851eabacbc /buch/papers/laguerre/scripts/rel_error_simple.py | |
parent | svae between (diff) | |
parent | Merge pull request #29 from p1mueller/master (diff) | |
download | SeminarSpezielleFunktionen-cf5f773ad34a838a729e06add110522c65d8b34a.tar.gz SeminarSpezielleFunktionen-cf5f773ad34a838a729e06add110522c65d8b34a.zip |
Merge branch 'master' of github.com:JODBaer/SeminarSpezielleFunktionen
Diffstat (limited to '')
-rw-r--r-- | buch/papers/laguerre/scripts/rel_error_simple.py | 41 |
1 files changed, 41 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..e1ea36a --- /dev/null +++ b/buch/papers/laguerre/scripts/rel_error_simple.py @@ -0,0 +1,41 @@ +if __name__ == "__main__": + import matplotlib as mpl + import matplotlib.pyplot as plt + import numpy as np + import scipy.special + + import gamma_approx as ga + + # mpl.rc("text", usetex=True) + mpl.rcParams.update( + { + "mathtext.fontset": "stix", + "font.family": "serif", + "font.serif": "TeX Gyre Termes", + } + ) + # mpl.rcParams.update({"font.family": "serif", "font.serif": "TeX Gyre Termes"}) + + # Simple / naive + xmin = -5 + xmax = 25 + 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") + fig.savefig(f"{ga.img_path}/rel_error_simple.pdf") |