From fde57297b3efbef28d09a532e1b3895d2b2ad917 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Patrik=20M=C3=BCller?= Date: Thu, 14 Jul 2022 15:03:28 +0200 Subject: Correct Makefile, add text to gamma.tex, separate python-scripts for each image --- buch/papers/laguerre/scripts/rel_error_mirror.py | 28 ++++++++++++++++++++++++ 1 file changed, 28 insertions(+) create mode 100644 buch/papers/laguerre/scripts/rel_error_mirror.py (limited to 'buch/papers/laguerre/scripts/rel_error_mirror.py') diff --git a/buch/papers/laguerre/scripts/rel_error_mirror.py b/buch/papers/laguerre/scripts/rel_error_mirror.py new file mode 100644 index 0000000..05e68e4 --- /dev/null +++ b/buch/papers/laguerre/scripts/rel_error_mirror.py @@ -0,0 +1,28 @@ +if __name__ == "__main__": + import matplotlib.pyplot as plt + import numpy as np + import scipy.special + + import gamma_approx as ga + + xmin = -15 + xmax = 15 + ns = np.arange(2, 12, 2) + ylim = np.array([-11, 1]) + 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, func="mirror") + 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=1, loc="upper left", fontsize=ga.fontsize) + ax.grid(1, "both") + fig.savefig(f"{ga.img_path}/rel_error_mirror.pgf") -- cgit v1.2.1 From 7a8795dcb555a551fd09a3c9b15002675e30891f Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Patrik=20M=C3=BCller?= Date: Fri, 15 Jul 2022 16:24:48 +0200 Subject: Change image scripts to PDF format, update Makefile, add complex plane plot --- buch/papers/laguerre/scripts/rel_error_mirror.py | 12 +++++++++++- 1 file changed, 11 insertions(+), 1 deletion(-) (limited to 'buch/papers/laguerre/scripts/rel_error_mirror.py') diff --git a/buch/papers/laguerre/scripts/rel_error_mirror.py b/buch/papers/laguerre/scripts/rel_error_mirror.py index 05e68e4..7348d5e 100644 --- a/buch/papers/laguerre/scripts/rel_error_mirror.py +++ b/buch/papers/laguerre/scripts/rel_error_mirror.py @@ -1,9 +1,18 @@ 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.rcParams.update( + { + "mathtext.fontset": "stix", + "font.family": "serif", + "font.serif": "TeX Gyre Termes", + } + ) xmin = -15 xmax = 15 @@ -25,4 +34,5 @@ if __name__ == "__main__": # ax.set_ylabel("Relativer Fehler") ax.legend(ncol=1, loc="upper left", fontsize=ga.fontsize) ax.grid(1, "both") - fig.savefig(f"{ga.img_path}/rel_error_mirror.pgf") + # fig.savefig(f"{ga.img_path}/rel_error_mirror.pgf") + fig.savefig(f"{ga.img_path}/rel_error_mirror.pdf") -- cgit v1.2.1