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/integrand.py | 74 ++++++++++++------------------- 1 file changed, 29 insertions(+), 45 deletions(-) (limited to 'buch/papers/laguerre/scripts/integrand.py') diff --git a/buch/papers/laguerre/scripts/integrand.py b/buch/papers/laguerre/scripts/integrand.py index 0cf43d1..f31f194 100644 --- a/buch/papers/laguerre/scripts/integrand.py +++ b/buch/papers/laguerre/scripts/integrand.py @@ -2,48 +2,32 @@ # -*- coding:utf-8 -*- """Plot for integrand of gamma function with shifting terms.""" -import os -from pathlib import Path - -import matplotlib.pyplot as plt -import numpy as np - -EPSILON = 1e-12 -xlims = np.array([-3, 3]) - -root = str(Path(__file__).parent) -img_path = f"{root}/../images" -os.makedirs(img_path, exist_ok=True) - -t = np.logspace(*xlims, 1001)[:, None] - -z = np.array([-4.5, -2, -1, -0.5, 0.0, 0.5, 1, 2, 4.5]) -r = t ** z - -fig, ax = plt.subplots(num=1, clear=True, constrained_layout=True, figsize=(5, 3)) -ax.semilogx(t, r) -ax.set_xlim(*(10.0 ** xlims)) -ax.set_ylim(1e-3, 40) -ax.set_xlabel(r"$x$") -ax.set_ylabel(r"$x^z$") -ax.grid(1, "both") -labels = [f"$z={zi: 3.1f}$" for zi in np.squeeze(z)] -ax.legend(labels, ncol=2, loc="upper left", fontsize="small") -fig.savefig(f"{img_path}/integrands.pgf") - -z2 = np.array([-1, -0.5, 0.0, 0.5, 1, 2, 3, 4, 4.5]) -e = np.exp(-t) -r2 = t ** z2 * e - -fig2, ax2 = plt.subplots(num=2, clear=True, constrained_layout=True, figsize=(5, 3)) -ax2.semilogx(t, r2) -# ax2.plot(t,np.exp(-t)) -ax2.set_xlim(10 ** (-2), 20) -ax2.set_ylim(1e-3, 10) -ax2.set_xlabel(r"$x$") -ax2.set_ylabel(r"$x^z e^{-x}$") -ax2.grid(1, "both") -labels =[f"$z={zi: 3.1f}$" for zi in np.squeeze(z2)] -ax2.legend(labels, ncol=2, loc="upper left", fontsize="small") -fig2.savefig(f"{img_path}/integrands_exp.pgf") -# plt.show() +if __name__ == "__main__": + import os + from pathlib import Path + + import matplotlib.pyplot as plt + import numpy as np + + EPSILON = 1e-12 + xlims = np.array([-3, 3]) + + root = str(Path(__file__).parent) + img_path = f"{root}/../images" + os.makedirs(img_path, exist_ok=True) + + t = np.logspace(*xlims, 1001)[:, None] + + z = np.array([-4.5, -2, -1, -0.5, 0.0, 0.5, 1, 2, 4.5]) + r = t ** z + + fig, ax = plt.subplots(num=1, clear=True, constrained_layout=True, figsize=(4, 2.4)) + ax.semilogx(t, r) + ax.set_xlim(*(10.0 ** xlims)) + ax.set_ylim(1e-3, 40) + ax.set_xlabel(r"$x$") + # ax.set_ylabel(r"$x^z$") + ax.grid(1, "both") + labels = [f"$z={zi: 3.1f}$" for zi in np.squeeze(z)] + ax.legend(labels, ncol=2, loc="upper left", fontsize="small") + fig.savefig(f"{img_path}/integrand.pgf") -- cgit v1.2.1