diff options
Diffstat (limited to 'buch/papers/laguerre/scripts/rel_error_range.py')
-rw-r--r-- | buch/papers/laguerre/scripts/rel_error_range.py | 32 |
1 files changed, 32 insertions, 0 deletions
diff --git a/buch/papers/laguerre/scripts/rel_error_range.py b/buch/papers/laguerre/scripts/rel_error_range.py new file mode 100644 index 0000000..7d017a7 --- /dev/null +++ b/buch/papers/laguerre/scripts/rel_error_range.py @@ -0,0 +1,32 @@ +if __name__ == "__main__": + import matplotlib.pyplot as plt + import numpy as np + import scipy.special + + import gamma_approx as ga + + N = 1000 + xmin = -5 + xmax = 5 + ns = np.arange(2, 12, 2) + ylim = np.array([-11, -1.2]) + + x = np.linspace(xmin + ga.EPSILON, xmax - ga.EPSILON, N) + 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="optimal_shifted") + 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 + 1, xmax, 2)) + ax.set_xticks(np.arange(xmin, xmax), minor=True) + ax.set_yticks(10.0 ** np.arange(*ylim, 2)) + ax.set_yticks(10.0 ** np.arange(*ylim, 1), minor=True) + 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_range.pgf") + # plt.show() |