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/Makefile | 17 +- buch/papers/laguerre/images/estimates.pdf | Bin 0 -> 13780 bytes buch/papers/laguerre/images/estimates.pgf | 1700 ----------- buch/papers/laguerre/images/gammaplot.pdf | Bin 23297 -> 23297 bytes buch/papers/laguerre/images/integrand.pdf | Bin 0 -> 16109 bytes buch/papers/laguerre/images/integrand.pgf | 2670 ----------------- buch/papers/laguerre/images/integrand_exp.pdf | Bin 0 -> 16951 bytes buch/papers/laguerre/images/integrand_exp.pgf | 1916 ------------ buch/papers/laguerre/images/laguerre_poly.pdf | Bin 0 -> 19815 bytes buch/papers/laguerre/images/laguerre_poly.pgf | 1838 ------------ buch/papers/laguerre/images/rel_error_complex.pdf | Bin 0 -> 198151 bytes buch/papers/laguerre/images/rel_error_mirror.pdf | Bin 0 -> 26866 bytes buch/papers/laguerre/images/rel_error_mirror.pgf | 3051 -------------------- buch/papers/laguerre/images/rel_error_range.pdf | Bin 0 -> 25704 bytes buch/papers/laguerre/images/rel_error_range.pgf | 2730 ------------------ buch/papers/laguerre/images/rel_error_shifted.pdf | Bin 0 -> 16231 bytes buch/papers/laguerre/images/rel_error_shifted.pgf | 1433 --------- buch/papers/laguerre/images/rel_error_simple.pdf | Bin 0 -> 23353 bytes buch/papers/laguerre/images/rel_error_simple.pgf | 2934 ------------------- buch/papers/laguerre/images/targets-img0.png | Bin 836 -> 0 bytes buch/papers/laguerre/images/targets-img1.png | Bin 429 -> 0 bytes buch/papers/laguerre/images/targets.pdf | Bin 12530 -> 14757 bytes buch/papers/laguerre/images/targets.pgf | 1024 ------- buch/papers/laguerre/presentation/presentation.pdf | Bin 0 -> 394774 bytes buch/papers/laguerre/scripts/estimates.py | 12 +- buch/papers/laguerre/scripts/integrand.py | 11 +- buch/papers/laguerre/scripts/integrand_exp.py | 12 +- buch/papers/laguerre/scripts/laguerre_poly.py | 16 +- buch/papers/laguerre/scripts/rel_error_complex.py | 43 + buch/papers/laguerre/scripts/rel_error_mirror.py | 12 +- buch/papers/laguerre/scripts/rel_error_range.py | 25 +- buch/papers/laguerre/scripts/rel_error_shifted.py | 13 +- buch/papers/laguerre/scripts/rel_error_simple.py | 14 +- buch/papers/laguerre/scripts/targets.py | 26 +- 34 files changed, 167 insertions(+), 19330 deletions(-) create mode 100644 buch/papers/laguerre/images/estimates.pdf delete mode 100644 buch/papers/laguerre/images/estimates.pgf create mode 100644 buch/papers/laguerre/images/integrand.pdf delete mode 100644 buch/papers/laguerre/images/integrand.pgf create mode 100644 buch/papers/laguerre/images/integrand_exp.pdf delete mode 100644 buch/papers/laguerre/images/integrand_exp.pgf create mode 100644 buch/papers/laguerre/images/laguerre_poly.pdf delete mode 100644 buch/papers/laguerre/images/laguerre_poly.pgf create mode 100644 buch/papers/laguerre/images/rel_error_complex.pdf create mode 100644 buch/papers/laguerre/images/rel_error_mirror.pdf delete mode 100644 buch/papers/laguerre/images/rel_error_mirror.pgf create mode 100644 buch/papers/laguerre/images/rel_error_range.pdf delete mode 100644 buch/papers/laguerre/images/rel_error_range.pgf create mode 100644 buch/papers/laguerre/images/rel_error_shifted.pdf delete mode 100644 buch/papers/laguerre/images/rel_error_shifted.pgf create mode 100644 buch/papers/laguerre/images/rel_error_simple.pdf delete mode 100644 buch/papers/laguerre/images/rel_error_simple.pgf delete mode 100644 buch/papers/laguerre/images/targets-img0.png delete mode 100644 buch/papers/laguerre/images/targets-img1.png delete mode 100644 buch/papers/laguerre/images/targets.pgf create mode 100644 buch/papers/laguerre/presentation/presentation.pdf create mode 100644 buch/papers/laguerre/scripts/rel_error_complex.py (limited to 'buch/papers/laguerre') diff --git a/buch/papers/laguerre/Makefile b/buch/papers/laguerre/Makefile index 1ed87cc..48f8066 100644 --- a/buch/papers/laguerre/Makefile +++ b/buch/papers/laguerre/Makefile @@ -8,14 +8,15 @@ PRESFOLDER := presentation FIGURES := \ images/targets.pdf \ - images/estimates.pgf \ - images/integrand.pgf \ - images/integrand_exp.pgf \ - images/laguerre_poly.pgf \ - images/rel_error_mirror.pgf \ - images/rel_error_range.pgf \ - images/rel_error_shifted.pgf \ - images/rel_error_simple.pgf \ + images/rel_error_complex.pdf \ + images/estimates.pdf \ + images/integrand.pdf \ + images/integrand_exp.pdf \ + images/laguerre_poly.pdf \ + images/rel_error_mirror.pdf \ + images/rel_error_range.pdf \ + images/rel_error_shifted.pdf \ + images/rel_error_simple.pdf \ images/gammaplot.pdf .PHONY: all diff --git a/buch/papers/laguerre/images/estimates.pdf b/buch/papers/laguerre/images/estimates.pdf new file mode 100644 index 0000000..c93a4f0 Binary files /dev/null and b/buch/papers/laguerre/images/estimates.pdf differ diff --git a/buch/papers/laguerre/images/estimates.pgf b/buch/papers/laguerre/images/estimates.pgf deleted file mode 100644 index b82fa5d..0000000 --- a/buch/papers/laguerre/images/estimates.pgf +++ /dev/null @@ -1,1700 +0,0 @@ -%% Creator: Matplotlib, PGF backend -%% -%% To include the figure in your LaTeX document, write -%% \input{.pgf} -%% -%% Make sure the required packages are loaded in your preamble -%% \usepackage{pgf} -%% -%% Also ensure that all the required font packages are loaded; for instance, -%% the lmodern package is sometimes necessary when using math font. -%% \usepackage{lmodern} -%% -%% Figures using additional raster images can only be included by \input if -%% they are in the same directory as the main LaTeX file. For loading figures -%% from other directories you can use the `import` package -%% \usepackage{import} -%% -%% and then include the figures with -%% \import{}{.pgf} -%% -%% Matplotlib used the following preamble -%% \usepackage{fontspec} -%% \setmainfont{DejaVuSerif.ttf}[Path=\detokenize{/home/mup/.local/lib/python3.8/site-packages/matplotlib/mpl-data/fonts/ttf/}] -%% \setsansfont{DejaVuSans.ttf}[Path=\detokenize{/home/mup/.local/lib/python3.8/site-packages/matplotlib/mpl-data/fonts/ttf/}] -%% \setmonofont{DejaVuSansMono.ttf}[Path=\detokenize{/home/mup/.local/lib/python3.8/site-packages/matplotlib/mpl-data/fonts/ttf/}] -%% -\begingroup% -\makeatletter% -\begin{pgfpicture}% -\pgfpathrectangle{\pgfpointorigin}{\pgfqpoint{4.500000in}{3.600000in}}% -\pgfusepath{use as bounding box, clip}% -\begin{pgfscope}% -\pgfsetbuttcap% -\pgfsetmiterjoin% -\definecolor{currentfill}{rgb}{1.000000,1.000000,1.000000}% -\pgfsetfillcolor{currentfill}% -\pgfsetlinewidth{0.000000pt}% -\definecolor{currentstroke}{rgb}{1.000000,1.000000,1.000000}% -\pgfsetstrokecolor{currentstroke}% -\pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{0.000000in}{0.000000in}}% -\pgfpathlineto{\pgfqpoint{4.500000in}{0.000000in}}% -\pgfpathlineto{\pgfqpoint{4.500000in}{3.600000in}}% -\pgfpathlineto{\pgfqpoint{0.000000in}{3.600000in}}% -\pgfpathlineto{\pgfqpoint{0.000000in}{0.000000in}}% -\pgfpathclose% -\pgfusepath{fill}% -\end{pgfscope}% -\begin{pgfscope}% -\pgfsetbuttcap% -\pgfsetmiterjoin% -\definecolor{currentfill}{rgb}{1.000000,1.000000,1.000000}% -\pgfsetfillcolor{currentfill}% -\pgfsetlinewidth{0.000000pt}% -\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% -\pgfsetstrokecolor{currentstroke}% -\pgfsetstrokeopacity{0.000000}% -\pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{0.556162in}{2.076777in}}% -\pgfpathlineto{\pgfqpoint{4.458330in}{2.076777in}}% -\pgfpathlineto{\pgfqpoint{4.458330in}{3.558330in}}% -\pgfpathlineto{\pgfqpoint{0.556162in}{3.558330in}}% 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document, write -%% \input{.pgf} -%% -%% Make sure the required packages are loaded in your preamble -%% \usepackage{pgf} -%% -%% Also ensure that all the required font packages are loaded; for instance, -%% the lmodern package is sometimes necessary when using math font. -%% \usepackage{lmodern} -%% -%% Figures using additional raster images can only be included by \input if -%% they are in the same directory as the main LaTeX file. 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-\pgfusepath{stroke}% -\end{pgfscope}% -\begin{pgfscope}% -\pgfsetbuttcap% -\pgfsetroundjoin% -\definecolor{currentfill}{rgb}{0.000000,0.000000,0.000000}% -\pgfsetfillcolor{currentfill}% -\pgfsetlinewidth{0.803000pt}% -\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% -\pgfsetstrokecolor{currentstroke}% -\pgfsetdash{}{0pt}% -\pgfsys@defobject{currentmarker}{\pgfqpoint{0.000000in}{-0.048611in}}{\pgfqpoint{0.000000in}{0.000000in}}{% -\pgfpathmoveto{\pgfqpoint{0.000000in}{0.000000in}}% -\pgfpathlineto{\pgfqpoint{0.000000in}{-0.048611in}}% -\pgfusepath{stroke,fill}% -}% -\begin{pgfscope}% -\pgfsys@transformshift{0.905974in}{0.463273in}% -\pgfsys@useobject{currentmarker}{}% -\end{pgfscope}% -\end{pgfscope}% -\begin{pgfscope}% -\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% -\pgfsetstrokecolor{textcolor}% -\pgfsetfillcolor{textcolor}% -\pgftext[x=0.905974in,y=0.366051in,,top]{\color{textcolor}\sffamily\fontsize{10.000000}{12.000000}\selectfont \(\displaystyle 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-\pgfpathlineto{\pgfqpoint{0.000000in}{-0.048611in}}% -\pgfusepath{stroke,fill}% -}% -\begin{pgfscope}% -\pgfsys@transformshift{1.496326in}{0.463273in}% -\pgfsys@useobject{currentmarker}{}% -\end{pgfscope}% -\end{pgfscope}% -\begin{pgfscope}% -\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% -\pgfsetstrokecolor{textcolor}% -\pgfsetfillcolor{textcolor}% -\pgftext[x=1.496326in,y=0.366051in,,top]{\color{textcolor}\sffamily\fontsize{10.000000}{12.000000}\selectfont \(\displaystyle {10^{-1}}\)}% -\end{pgfscope}% -\begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.315623in}{0.463273in}}{\pgfqpoint{3.542109in}{1.842295in}}% -\pgfusepath{clip}% -\pgfsetrectcap% -\pgfsetroundjoin% -\pgfsetlinewidth{0.803000pt}% -\definecolor{currentstroke}{rgb}{0.690196,0.690196,0.690196}% -\pgfsetstrokecolor{currentstroke}% -\pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{2.086677in}{0.463273in}}% -\pgfpathlineto{\pgfqpoint{2.086677in}{2.305568in}}% -\pgfusepath{stroke}% -\end{pgfscope}% -\begin{pgfscope}% -\pgfsetbuttcap% -\pgfsetroundjoin% -\definecolor{currentfill}{rgb}{0.000000,0.000000,0.000000}% -\pgfsetfillcolor{currentfill}% -\pgfsetlinewidth{0.803000pt}% -\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% -\pgfsetstrokecolor{currentstroke}% -\pgfsetdash{}{0pt}% -\pgfsys@defobject{currentmarker}{\pgfqpoint{0.000000in}{-0.048611in}}{\pgfqpoint{0.000000in}{0.000000in}}{% -\pgfpathmoveto{\pgfqpoint{0.000000in}{0.000000in}}% -\pgfpathlineto{\pgfqpoint{0.000000in}{-0.048611in}}% -\pgfusepath{stroke,fill}% -}% -\begin{pgfscope}% -\pgfsys@transformshift{2.086677in}{0.463273in}% -\pgfsys@useobject{currentmarker}{}% -\end{pgfscope}% -\end{pgfscope}% -\begin{pgfscope}% -\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% -\pgfsetstrokecolor{textcolor}% -\pgfsetfillcolor{textcolor}% -\pgftext[x=2.086677in,y=0.366051in,,top]{\color{textcolor}\sffamily\fontsize{10.000000}{12.000000}\selectfont \(\displaystyle {10^{0}}\)}% -\end{pgfscope}% -\begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.315623in}{0.463273in}}{\pgfqpoint{3.542109in}{1.842295in}}% -\pgfusepath{clip}% -\pgfsetrectcap% -\pgfsetroundjoin% -\pgfsetlinewidth{0.803000pt}% -\definecolor{currentstroke}{rgb}{0.690196,0.690196,0.690196}% -\pgfsetstrokecolor{currentstroke}% -\pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{2.677029in}{0.463273in}}% -\pgfpathlineto{\pgfqpoint{2.677029in}{2.305568in}}% -\pgfusepath{stroke}% -\end{pgfscope}% -\begin{pgfscope}% -\pgfsetbuttcap% -\pgfsetroundjoin% -\definecolor{currentfill}{rgb}{0.000000,0.000000,0.000000}% -\pgfsetfillcolor{currentfill}% -\pgfsetlinewidth{0.803000pt}% -\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% -\pgfsetstrokecolor{currentstroke}% -\pgfsetdash{}{0pt}% -\pgfsys@defobject{currentmarker}{\pgfqpoint{0.000000in}{-0.048611in}}{\pgfqpoint{0.000000in}{0.000000in}}{% -\pgfpathmoveto{\pgfqpoint{0.000000in}{0.000000in}}% -\pgfpathlineto{\pgfqpoint{0.000000in}{-0.048611in}}% -\pgfusepath{stroke,fill}% -}% -\begin{pgfscope}% -\pgfsys@transformshift{2.677029in}{0.463273in}% -\pgfsys@useobject{currentmarker}{}% -\end{pgfscope}% -\end{pgfscope}% -\begin{pgfscope}% -\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% -\pgfsetstrokecolor{textcolor}% -\pgfsetfillcolor{textcolor}% -\pgftext[x=2.677029in,y=0.366051in,,top]{\color{textcolor}\sffamily\fontsize{10.000000}{12.000000}\selectfont \(\displaystyle {10^{1}}\)}% -\end{pgfscope}% -\begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.315623in}{0.463273in}}{\pgfqpoint{3.542109in}{1.842295in}}% -\pgfusepath{clip}% -\pgfsetrectcap% -\pgfsetroundjoin% -\pgfsetlinewidth{0.803000pt}% -\definecolor{currentstroke}{rgb}{0.690196,0.690196,0.690196}% -\pgfsetstrokecolor{currentstroke}% -\pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{3.267380in}{0.463273in}}% -\pgfpathlineto{\pgfqpoint{3.267380in}{2.305568in}}% -\pgfusepath{stroke}% -\end{pgfscope}% -\begin{pgfscope}% -\pgfsetbuttcap% -\pgfsetroundjoin% -\definecolor{currentfill}{rgb}{0.000000,0.000000,0.000000}% -\pgfsetfillcolor{currentfill}% -\pgfsetlinewidth{0.803000pt}% -\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% -\pgfsetstrokecolor{currentstroke}% -\pgfsetdash{}{0pt}% -\pgfsys@defobject{currentmarker}{\pgfqpoint{0.000000in}{-0.048611in}}{\pgfqpoint{0.000000in}{0.000000in}}{% -\pgfpathmoveto{\pgfqpoint{0.000000in}{0.000000in}}% -\pgfpathlineto{\pgfqpoint{0.000000in}{-0.048611in}}% -\pgfusepath{stroke,fill}% -}% -\begin{pgfscope}% -\pgfsys@transformshift{3.267380in}{0.463273in}% -\pgfsys@useobject{currentmarker}{}% -\end{pgfscope}% -\end{pgfscope}% -\begin{pgfscope}% -\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% -\pgfsetstrokecolor{textcolor}% -\pgfsetfillcolor{textcolor}% -\pgftext[x=3.267380in,y=0.366051in,,top]{\color{textcolor}\sffamily\fontsize{10.000000}{12.000000}\selectfont \(\displaystyle {10^{2}}\)}% -\end{pgfscope}% -\begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.315623in}{0.463273in}}{\pgfqpoint{3.542109in}{1.842295in}}% -\pgfusepath{clip}% -\pgfsetrectcap% -\pgfsetroundjoin% -\pgfsetlinewidth{0.803000pt}% -\definecolor{currentstroke}{rgb}{0.690196,0.690196,0.690196}% -\pgfsetstrokecolor{currentstroke}% -\pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{3.857732in}{0.463273in}}% -\pgfpathlineto{\pgfqpoint{3.857732in}{2.305568in}}% -\pgfusepath{stroke}% -\end{pgfscope}% -\begin{pgfscope}% -\pgfsetbuttcap% -\pgfsetroundjoin% -\definecolor{currentfill}{rgb}{0.000000,0.000000,0.000000}% -\pgfsetfillcolor{currentfill}% -\pgfsetlinewidth{0.803000pt}% -\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% -\pgfsetstrokecolor{currentstroke}% -\pgfsetdash{}{0pt}% -\pgfsys@defobject{currentmarker}{\pgfqpoint{0.000000in}{-0.048611in}}{\pgfqpoint{0.000000in}{0.000000in}}{% -\pgfpathmoveto{\pgfqpoint{0.000000in}{0.000000in}}% -\pgfpathlineto{\pgfqpoint{0.000000in}{-0.048611in}}% -\pgfusepath{stroke,fill}% -}% -\begin{pgfscope}% -\pgfsys@transformshift{3.857732in}{0.463273in}% -\pgfsys@useobject{currentmarker}{}% -\end{pgfscope}% -\end{pgfscope}% -\begin{pgfscope}% -\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% -\pgfsetstrokecolor{textcolor}% -\pgfsetfillcolor{textcolor}% -\pgftext[x=3.857732in,y=0.366051in,,top]{\color{textcolor}\sffamily\fontsize{10.000000}{12.000000}\selectfont \(\displaystyle {10^{3}}\)}% -\end{pgfscope}% -\begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.315623in}{0.463273in}}{\pgfqpoint{3.542109in}{1.842295in}}% -\pgfusepath{clip}% -\pgfsetrectcap% -\pgfsetroundjoin% -\pgfsetlinewidth{0.803000pt}% -\definecolor{currentstroke}{rgb}{0.690196,0.690196,0.690196}% -\pgfsetstrokecolor{currentstroke}% -\pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{0.493336in}{0.463273in}}% -\pgfpathlineto{\pgfqpoint{0.493336in}{2.305568in}}% -\pgfusepath{stroke}% -\end{pgfscope}% -\begin{pgfscope}% -\pgfsetbuttcap% -\pgfsetroundjoin% -\definecolor{currentfill}{rgb}{0.000000,0.000000,0.000000}% -\pgfsetfillcolor{currentfill}% -\pgfsetlinewidth{0.602250pt}% -\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% -\pgfsetstrokecolor{currentstroke}% -\pgfsetdash{}{0pt}% -\pgfsys@defobject{currentmarker}{\pgfqpoint{0.000000in}{-0.027778in}}{\pgfqpoint{0.000000in}{0.000000in}}{% -\pgfpathmoveto{\pgfqpoint{0.000000in}{0.000000in}}% -\pgfpathlineto{\pgfqpoint{0.000000in}{-0.027778in}}% -\pgfusepath{stroke,fill}% -}% -\begin{pgfscope}% -\pgfsys@transformshift{0.493336in}{0.463273in}% -\pgfsys@useobject{currentmarker}{}% -\end{pgfscope}% -\end{pgfscope}% -\begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.315623in}{0.463273in}}{\pgfqpoint{3.542109in}{1.842295in}}% -\pgfusepath{clip}% -\pgfsetrectcap% -\pgfsetroundjoin% -\pgfsetlinewidth{0.803000pt}% -\definecolor{currentstroke}{rgb}{0.690196,0.690196,0.690196}% -\pgfsetstrokecolor{currentstroke}% -\pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{0.597292in}{0.463273in}}% -\pgfpathlineto{\pgfqpoint{0.597292in}{2.305568in}}% -\pgfusepath{stroke}% -\end{pgfscope}% -\begin{pgfscope}% -\pgfsetbuttcap% -\pgfsetroundjoin% -\definecolor{currentfill}{rgb}{0.000000,0.000000,0.000000}% -\pgfsetfillcolor{currentfill}% -\pgfsetlinewidth{0.602250pt}% -\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% -\pgfsetstrokecolor{currentstroke}% -\pgfsetdash{}{0pt}% -\pgfsys@defobject{currentmarker}{\pgfqpoint{0.000000in}{-0.027778in}}{\pgfqpoint{0.000000in}{0.000000in}}{% -\pgfpathmoveto{\pgfqpoint{0.000000in}{0.000000in}}% -\pgfpathlineto{\pgfqpoint{0.000000in}{-0.027778in}}% -\pgfusepath{stroke,fill}% -}% -\begin{pgfscope}% -\pgfsys@transformshift{0.597292in}{0.463273in}% -\pgfsys@useobject{currentmarker}{}% -\end{pgfscope}% -\end{pgfscope}% -\begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.315623in}{0.463273in}}{\pgfqpoint{3.542109in}{1.842295in}}% -\pgfusepath{clip}% -\pgfsetrectcap% -\pgfsetroundjoin% -\pgfsetlinewidth{0.803000pt}% -\definecolor{currentstroke}{rgb}{0.690196,0.690196,0.690196}% -\pgfsetstrokecolor{currentstroke}% -\pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{0.671050in}{0.463273in}}% -\pgfpathlineto{\pgfqpoint{0.671050in}{2.305568in}}% -\pgfusepath{stroke}% -\end{pgfscope}% -\begin{pgfscope}% -\pgfsetbuttcap% -\pgfsetroundjoin% -\definecolor{currentfill}{rgb}{0.000000,0.000000,0.000000}% -\pgfsetfillcolor{currentfill}% -\pgfsetlinewidth{0.602250pt}% -\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% -\pgfsetstrokecolor{currentstroke}% -\pgfsetdash{}{0pt}% -\pgfsys@defobject{currentmarker}{\pgfqpoint{0.000000in}{-0.027778in}}{\pgfqpoint{0.000000in}{0.000000in}}{% -\pgfpathmoveto{\pgfqpoint{0.000000in}{0.000000in}}% -\pgfpathlineto{\pgfqpoint{0.000000in}{-0.027778in}}% -\pgfusepath{stroke,fill}% -}% -\begin{pgfscope}% -\pgfsys@transformshift{0.671050in}{0.463273in}% -\pgfsys@useobject{currentmarker}{}% -\end{pgfscope}% -\end{pgfscope}% -\begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.315623in}{0.463273in}}{\pgfqpoint{3.542109in}{1.842295in}}% -\pgfusepath{clip}% -\pgfsetrectcap% -\pgfsetroundjoin% -\pgfsetlinewidth{0.803000pt}% -\definecolor{currentstroke}{rgb}{0.690196,0.690196,0.690196}% -\pgfsetstrokecolor{currentstroke}% -\pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{0.728261in}{0.463273in}}% -\pgfpathlineto{\pgfqpoint{0.728261in}{2.305568in}}% -\pgfusepath{stroke}% -\end{pgfscope}% -\begin{pgfscope}% -\pgfsetbuttcap% -\pgfsetroundjoin% -\definecolor{currentfill}{rgb}{0.000000,0.000000,0.000000}% -\pgfsetfillcolor{currentfill}% -\pgfsetlinewidth{0.602250pt}% -\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% -\pgfsetstrokecolor{currentstroke}% -\pgfsetdash{}{0pt}% -\pgfsys@defobject{currentmarker}{\pgfqpoint{0.000000in}{-0.027778in}}{\pgfqpoint{0.000000in}{0.000000in}}{% -\pgfpathmoveto{\pgfqpoint{0.000000in}{0.000000in}}% -\pgfpathlineto{\pgfqpoint{0.000000in}{-0.027778in}}% -\pgfusepath{stroke,fill}% -}% -\begin{pgfscope}% -\pgfsys@transformshift{0.728261in}{0.463273in}% -\pgfsys@useobject{currentmarker}{}% -\end{pgfscope}% -\end{pgfscope}% -\begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.315623in}{0.463273in}}{\pgfqpoint{3.542109in}{1.842295in}}% -\pgfusepath{clip}% -\pgfsetrectcap% -\pgfsetroundjoin% -\pgfsetlinewidth{0.803000pt}% -\definecolor{currentstroke}{rgb}{0.690196,0.690196,0.690196}% -\pgfsetstrokecolor{currentstroke}% -\pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{0.775006in}{0.463273in}}% -\pgfpathlineto{\pgfqpoint{0.775006in}{2.305568in}}% -\pgfusepath{stroke}% -\end{pgfscope}% -\begin{pgfscope}% -\pgfsetbuttcap% -\pgfsetroundjoin% -\definecolor{currentfill}{rgb}{0.000000,0.000000,0.000000}% -\pgfsetfillcolor{currentfill}% -\pgfsetlinewidth{0.602250pt}% -\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% -\pgfsetstrokecolor{currentstroke}% -\pgfsetdash{}{0pt}% -\pgfsys@defobject{currentmarker}{\pgfqpoint{0.000000in}{-0.027778in}}{\pgfqpoint{0.000000in}{0.000000in}}{% -\pgfpathmoveto{\pgfqpoint{0.000000in}{0.000000in}}% -\pgfpathlineto{\pgfqpoint{0.000000in}{-0.027778in}}% -\pgfusepath{stroke,fill}% -}% -\begin{pgfscope}% -\pgfsys@transformshift{0.775006in}{0.463273in}% -\pgfsys@useobject{currentmarker}{}% -\end{pgfscope}% -\end{pgfscope}% -\begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.315623in}{0.463273in}}{\pgfqpoint{3.542109in}{1.842295in}}% -\pgfusepath{clip}% -\pgfsetrectcap% -\pgfsetroundjoin% -\pgfsetlinewidth{0.803000pt}% -\definecolor{currentstroke}{rgb}{0.690196,0.690196,0.690196}% -\pgfsetstrokecolor{currentstroke}% -\pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{0.814528in}{0.463273in}}% -\pgfpathlineto{\pgfqpoint{0.814528in}{2.305568in}}% -\pgfusepath{stroke}% -\end{pgfscope}% -\begin{pgfscope}% -\pgfsetbuttcap% -\pgfsetroundjoin% -\definecolor{currentfill}{rgb}{0.000000,0.000000,0.000000}% -\pgfsetfillcolor{currentfill}% -\pgfsetlinewidth{0.602250pt}% -\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% -\pgfsetstrokecolor{currentstroke}% -\pgfsetdash{}{0pt}% -\pgfsys@defobject{currentmarker}{\pgfqpoint{0.000000in}{-0.027778in}}{\pgfqpoint{0.000000in}{0.000000in}}{% -\pgfpathmoveto{\pgfqpoint{0.000000in}{0.000000in}}% -\pgfpathlineto{\pgfqpoint{0.000000in}{-0.027778in}}% -\pgfusepath{stroke,fill}% -}% -\begin{pgfscope}% -\pgfsys@transformshift{0.814528in}{0.463273in}% -\pgfsys@useobject{currentmarker}{}% -\end{pgfscope}% -\end{pgfscope}% -\begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.315623in}{0.463273in}}{\pgfqpoint{3.542109in}{1.842295in}}% -\pgfusepath{clip}% -\pgfsetrectcap% -\pgfsetroundjoin% -\pgfsetlinewidth{0.803000pt}% -\definecolor{currentstroke}{rgb}{0.690196,0.690196,0.690196}% -\pgfsetstrokecolor{currentstroke}% -\pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{0.848763in}{0.463273in}}% -\pgfpathlineto{\pgfqpoint{0.848763in}{2.305568in}}% -\pgfusepath{stroke}% -\end{pgfscope}% 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a/buch/papers/laguerre/images/rel_error_mirror.pgf b/buch/papers/laguerre/images/rel_error_mirror.pgf deleted file mode 100644 index 45d502e..0000000 --- a/buch/papers/laguerre/images/rel_error_mirror.pgf +++ /dev/null @@ -1,3051 +0,0 @@ -%% Creator: Matplotlib, PGF backend -%% -%% To include the figure in your LaTeX document, write -%% \input{.pgf} -%% -%% Make sure the required packages are loaded in your preamble -%% \usepackage{pgf} -%% -%% Also ensure that all the required font packages are loaded; for instance, -%% the lmodern package is sometimes necessary when using math font. -%% \usepackage{lmodern} -%% -%% Figures using additional raster images can only be included by \input if -%% they are in the same directory as the main LaTeX file. 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-\begin{pgfscope}% -\pgfsys@transformshift{2.195293in}{0.463273in}% -\pgfsys@useobject{currentmarker}{}% -\end{pgfscope}% -\end{pgfscope}% -\begin{pgfscope}% -\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% -\pgfsetstrokecolor{textcolor}% -\pgfsetfillcolor{textcolor}% -\pgftext[x=2.195293in,y=0.366051in,,top]{\color{textcolor}\sffamily\fontsize{10.000000}{12.000000}\selectfont 0.4}% -\end{pgfscope}% -\begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.426895in}{0.463273in}}{\pgfqpoint{4.420996in}{1.995057in}}% -\pgfusepath{clip}% -\pgfsetrectcap% -\pgfsetroundjoin% -\pgfsetlinewidth{0.803000pt}% -\definecolor{currentstroke}{rgb}{0.690196,0.690196,0.690196}% -\pgfsetstrokecolor{currentstroke}% -\pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{3.079492in}{0.463273in}}% -\pgfpathlineto{\pgfqpoint{3.079492in}{2.458330in}}% -\pgfusepath{stroke}% -\end{pgfscope}% -\begin{pgfscope}% -\pgfsetbuttcap% -\pgfsetroundjoin% -\definecolor{currentfill}{rgb}{0.000000,0.000000,0.000000}% 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-\pgfsetroundjoin% -\pgfsetlinewidth{0.803000pt}% -\definecolor{currentstroke}{rgb}{0.690196,0.690196,0.690196}% -\pgfsetstrokecolor{currentstroke}% -\pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{3.963691in}{0.463273in}}% -\pgfpathlineto{\pgfqpoint{3.963691in}{2.458330in}}% -\pgfusepath{stroke}% -\end{pgfscope}% -\begin{pgfscope}% -\pgfsetbuttcap% -\pgfsetroundjoin% -\definecolor{currentfill}{rgb}{0.000000,0.000000,0.000000}% -\pgfsetfillcolor{currentfill}% -\pgfsetlinewidth{0.803000pt}% -\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% -\pgfsetstrokecolor{currentstroke}% -\pgfsetdash{}{0pt}% -\pgfsys@defobject{currentmarker}{\pgfqpoint{0.000000in}{-0.048611in}}{\pgfqpoint{0.000000in}{0.000000in}}{% -\pgfpathmoveto{\pgfqpoint{0.000000in}{0.000000in}}% -\pgfpathlineto{\pgfqpoint{0.000000in}{-0.048611in}}% -\pgfusepath{stroke,fill}% -}% -\begin{pgfscope}% -\pgfsys@transformshift{3.963691in}{0.463273in}% -\pgfsys@useobject{currentmarker}{}% -\end{pgfscope}% -\end{pgfscope}% -\begin{pgfscope}% -\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% -\pgfsetstrokecolor{textcolor}% -\pgfsetfillcolor{textcolor}% -\pgftext[x=3.963691in,y=0.366051in,,top]{\color{textcolor}\sffamily\fontsize{10.000000}{12.000000}\selectfont 0.8}% -\end{pgfscope}% -\begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.426895in}{0.463273in}}{\pgfqpoint{4.420996in}{1.995057in}}% -\pgfusepath{clip}% -\pgfsetrectcap% -\pgfsetroundjoin% -\pgfsetlinewidth{0.803000pt}% -\definecolor{currentstroke}{rgb}{0.690196,0.690196,0.690196}% -\pgfsetstrokecolor{currentstroke}% -\pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{4.847890in}{0.463273in}}% -\pgfpathlineto{\pgfqpoint{4.847890in}{2.458330in}}% -\pgfusepath{stroke}% -\end{pgfscope}% -\begin{pgfscope}% -\pgfsetbuttcap% -\pgfsetroundjoin% -\definecolor{currentfill}{rgb}{0.000000,0.000000,0.000000}% -\pgfsetfillcolor{currentfill}% -\pgfsetlinewidth{0.803000pt}% -\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% -\pgfsetstrokecolor{currentstroke}% -\pgfsetdash{}{0pt}% -\pgfsys@defobject{currentmarker}{\pgfqpoint{0.000000in}{-0.048611in}}{\pgfqpoint{0.000000in}{0.000000in}}{% -\pgfpathmoveto{\pgfqpoint{0.000000in}{0.000000in}}% -\pgfpathlineto{\pgfqpoint{0.000000in}{-0.048611in}}% -\pgfusepath{stroke,fill}% -}% -\begin{pgfscope}% -\pgfsys@transformshift{4.847890in}{0.463273in}% -\pgfsys@useobject{currentmarker}{}% -\end{pgfscope}% -\end{pgfscope}% -\begin{pgfscope}% -\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% -\pgfsetstrokecolor{textcolor}% -\pgfsetfillcolor{textcolor}% -\pgftext[x=4.847890in,y=0.366051in,,top]{\color{textcolor}\sffamily\fontsize{10.000000}{12.000000}\selectfont 1.0}% -\end{pgfscope}% -\begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.426895in}{0.463273in}}{\pgfqpoint{4.420996in}{1.995057in}}% -\pgfusepath{clip}% -\pgfsetrectcap% -\pgfsetroundjoin% -\pgfsetlinewidth{0.803000pt}% -\definecolor{currentstroke}{rgb}{0.690196,0.690196,0.690196}% 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-\begin{pgfscope}% -\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% -\pgfsetstrokecolor{textcolor}% -\pgfsetfillcolor{textcolor}% -\pgftext[x=0.041670in, y=1.011084in, left, base]{\color{textcolor}\sffamily\fontsize{10.000000}{12.000000}\selectfont \(\displaystyle {10^{-8}}\)}% -\end{pgfscope}% -\begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.426895in}{0.463273in}}{\pgfqpoint{4.420996in}{1.995057in}}% -\pgfusepath{clip}% -\pgfsetrectcap% -\pgfsetroundjoin% -\pgfsetlinewidth{0.803000pt}% -\definecolor{currentstroke}{rgb}{0.690196,0.690196,0.690196}% -\pgfsetstrokecolor{currentstroke}% -\pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{0.426895in}{0.463273in}}% -\pgfpathlineto{\pgfqpoint{4.847890in}{0.463273in}}% -\pgfusepath{stroke}% -\end{pgfscope}% -\begin{pgfscope}% -\pgfsetbuttcap% -\pgfsetroundjoin% -\definecolor{currentfill}{rgb}{0.000000,0.000000,0.000000}% -\pgfsetfillcolor{currentfill}% -\pgfsetlinewidth{0.602250pt}% 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and b/buch/papers/laguerre/images/rel_error_simple.pdf differ diff --git a/buch/papers/laguerre/images/rel_error_simple.pgf b/buch/papers/laguerre/images/rel_error_simple.pgf deleted file mode 100644 index 2439d65..0000000 --- a/buch/papers/laguerre/images/rel_error_simple.pgf +++ /dev/null @@ -1,2934 +0,0 @@ -%% Creator: Matplotlib, PGF backend -%% -%% To include the figure in your LaTeX document, write -%% \input{.pgf} -%% -%% Make sure the required packages are loaded in your preamble -%% \usepackage{pgf} -%% -%% Also ensure that all the required font packages are loaded; for instance, -%% the lmodern package is sometimes necessary when using math font. -%% \usepackage{lmodern} -%% -%% Figures using additional raster images can only be included by \input if -%% they are in the same directory as the main LaTeX file. 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index c050efa..e1ec07c 100644 Binary files a/buch/papers/laguerre/images/targets.pdf and b/buch/papers/laguerre/images/targets.pdf differ diff --git a/buch/papers/laguerre/images/targets.pgf b/buch/papers/laguerre/images/targets.pgf deleted file mode 100644 index f5602fd..0000000 --- a/buch/papers/laguerre/images/targets.pgf +++ /dev/null @@ -1,1024 +0,0 @@ -%% Creator: Matplotlib, PGF backend -%% -%% To include the figure in your LaTeX document, write -%% \input{.pgf} -%% -%% Make sure the required packages are loaded in your preamble -%% \usepackage{pgf} -%% -%% Also ensure that all the required font packages are loaded; for instance, -%% the lmodern package is sometimes necessary when using math font. -%% \usepackage{lmodern} -%% -%% Figures using additional raster images can only be included by \input if -%% they are in the same directory as the main LaTeX file. For loading figures -%% from other directories you can use the `import` package -%% \usepackage{import} -%% -%% and then include the figures with -%% \import{}{.pgf} -%% -%% Matplotlib used the following preamble -%% \usepackage{fontspec} -%% \setmainfont{DejaVuSerif.ttf}[Path=\detokenize{/home/mup/.local/lib/python3.8/site-packages/matplotlib/mpl-data/fonts/ttf/}] -%% \setsansfont{DejaVuSans.ttf}[Path=\detokenize{/home/mup/.local/lib/python3.8/site-packages/matplotlib/mpl-data/fonts/ttf/}] -%% \setmonofont{DejaVuSansMono.ttf}[Path=\detokenize{/home/mup/.local/lib/python3.8/site-packages/matplotlib/mpl-data/fonts/ttf/}] -%% -\begingroup% -\makeatletter% -\begin{pgfpicture}% -\pgfpathrectangle{\pgfpointorigin}{\pgfqpoint{4.000000in}{2.400000in}}% -\pgfusepath{use as bounding box, clip}% -\begin{pgfscope}% -\pgfsetbuttcap% -\pgfsetmiterjoin% -\definecolor{currentfill}{rgb}{1.000000,1.000000,1.000000}% -\pgfsetfillcolor{currentfill}% -\pgfsetlinewidth{0.000000pt}% 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-\pgfusepath{stroke}% -\end{pgfscope}% -\end{pgfpicture}% -\makeatother% -\endgroup% diff --git a/buch/papers/laguerre/presentation/presentation.pdf b/buch/papers/laguerre/presentation/presentation.pdf new file mode 100644 index 0000000..3d00de3 Binary files /dev/null and b/buch/papers/laguerre/presentation/presentation.pdf differ diff --git a/buch/papers/laguerre/scripts/estimates.py b/buch/papers/laguerre/scripts/estimates.py index 207bbd2..21551f3 100644 --- a/buch/papers/laguerre/scripts/estimates.py +++ b/buch/papers/laguerre/scripts/estimates.py @@ -1,10 +1,19 @@ if __name__ == "__main__": + import matplotlib as mpl import matplotlib.pyplot as plt import numpy as np import gamma_approx as ga import targets + mpl.rcParams.update( + { + "mathtext.fontset": "stix", + "font.family": "serif", + "font.serif": "TeX Gyre Termes", + } + ) + N = 200 ns = np.arange(2, 13) step = 1 / (N - 1) @@ -32,7 +41,8 @@ if __name__ == "__main__": for ax in axs: ax.grid(1) ax.legend() - fig.savefig(f"{ga.img_path}/estimates.pgf") + # fig.savefig(f"{ga.img_path}/estimates.pgf") + fig.savefig(f"{ga.img_path}/estimates.pdf") print(f"Intercept={intercept:.6g}, Bias={bias:.6g}") predicts = np.ceil(intercept * ns[:, None] + bias - np.real(x)) diff --git a/buch/papers/laguerre/scripts/integrand.py b/buch/papers/laguerre/scripts/integrand.py index f31f194..e970721 100644 --- a/buch/papers/laguerre/scripts/integrand.py +++ b/buch/papers/laguerre/scripts/integrand.py @@ -6,9 +6,18 @@ if __name__ == "__main__": import os from pathlib import Path + import matplotlib as mpl import matplotlib.pyplot as plt import numpy as np + mpl.rcParams.update( + { + "mathtext.fontset": "stix", + "font.family": "serif", + "font.serif": "TeX Gyre Termes", + } + ) + EPSILON = 1e-12 xlims = np.array([-3, 3]) @@ -30,4 +39,4 @@ if __name__ == "__main__": 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") + fig.savefig(f"{img_path}/integrand.pdf") diff --git a/buch/papers/laguerre/scripts/integrand_exp.py b/buch/papers/laguerre/scripts/integrand_exp.py index 0e50f43..e649b26 100644 --- a/buch/papers/laguerre/scripts/integrand_exp.py +++ b/buch/papers/laguerre/scripts/integrand_exp.py @@ -6,8 +6,17 @@ if __name__ == "__main__": import os from pathlib import Path + import matplotlib as mpl import matplotlib.pyplot as plt import numpy as np + + mpl.rcParams.update( + { + "mathtext.fontset": "stix", + "font.family": "serif", + "font.serif": "TeX Gyre Termes", + } + ) EPSILON = 1e-12 xlims = np.array([-3, 3]) @@ -32,5 +41,6 @@ if __name__ == "__main__": 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_exp.pgf") + # fig.savefig(f"{img_path}/integrand_exp.pgf") + fig.savefig(f"{img_path}/integrand_exp.pdf") # plt.show() diff --git a/buch/papers/laguerre/scripts/laguerre_poly.py b/buch/papers/laguerre/scripts/laguerre_poly.py index 954a0b1..9700ab4 100644 --- a/buch/papers/laguerre/scripts/laguerre_poly.py +++ b/buch/papers/laguerre/scripts/laguerre_poly.py @@ -10,8 +10,17 @@ if __name__ == "__main__": import os from pathlib import Path + import matplotlib as mpl import matplotlib.pyplot as plt import scipy.special as ss + + mpl.rcParams.update( + { + "mathtext.fontset": "stix", + "font.family": "serif", + "font.serif": "TeX Gyre Termes", + } + ) N = 1000 step = 5 @@ -34,8 +43,8 @@ if __name__ == "__main__": ax.set_xlabel(r"$x$", x=1.0, labelpad=-10, rotation=0, fontsize="large") ylim = 13 - ax.set_yticks(np.arange(-ylim, ylim), minor=True) - ax.set_yticks(np.arange(-step * (ylim // step), ylim, step)) + ax.set_yticks(get_ticks(-ylim, ylim), minor=True) + ax.set_yticks(get_ticks(-step * (ylim // step), ylim, step)) ax.set_ylim(-ylim, ylim) ax.set_ylabel(r"$y$", y=0.95, labelpad=-18, rotation=0, fontsize="large") @@ -94,5 +103,6 @@ if __name__ == "__main__": clip_on=False, ) - fig.savefig(f"{img_path}/laguerre_poly.pgf") + # fig.savefig(f"{img_path}/laguerre_poly.pgf") + fig.savefig(f"{img_path}/laguerre_poly.pdf") # plt.show() diff --git a/buch/papers/laguerre/scripts/rel_error_complex.py b/buch/papers/laguerre/scripts/rel_error_complex.py new file mode 100644 index 0000000..5be79be --- /dev/null +++ b/buch/papers/laguerre/scripts/rel_error_complex.py @@ -0,0 +1,43 @@ +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", + } + ) + + xmax = 4 + vals = np.linspace(-xmax + ga.EPSILON, xmax, 100) + x, y = np.meshgrid(vals, vals) + mesh = x + 1j * y + input = mesh.flatten() + + lanczos = scipy.special.gamma(mesh) + lag = ga.eval_laguerre_gamma(input, n=8, func="optimal_shifted").reshape(mesh.shape) + rel_error = np.abs(ga.calc_rel_error(lanczos, lag)) + + fig, ax = plt.subplots(clear=True, constrained_layout=True, figsize=(4, 2.4)) + _c = ax.pcolormesh( + x, y, rel_error, shading="gouraud", cmap="inferno", norm=mpl.colors.LogNorm() + ) + cbr = fig.colorbar(_c, ax=ax) + cbr.minorticks_off() + # ax.set_title("Relative Error") + ax.set_xlabel("Re($z$)") + ax.set_ylabel("Im($z$)") + minor_ticks = np.arange(-xmax, xmax + ga.EPSILON) + ticks = np.arange(-xmax, xmax + ga.EPSILON, 2) + ax.set_xticks(ticks) + ax.set_xticks(minor_ticks, minor=True) + ax.set_yticks(ticks) + ax.set_yticks(minor_ticks, minor=True) + fig.savefig(f"{ga.img_path}/rel_error_complex.pdf") + # plt.show() 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") diff --git a/buch/papers/laguerre/scripts/rel_error_range.py b/buch/papers/laguerre/scripts/rel_error_range.py index 7c74d76..43b5450 100644 --- a/buch/papers/laguerre/scripts/rel_error_range.py +++ b/buch/papers/laguerre/scripts/rel_error_range.py @@ -1,13 +1,21 @@ if __name__ == "__main__": + import matplotlib as mpl import matplotlib.pyplot as plt import numpy as np import scipy.special import gamma_approx as ga - - N = 1001 - xmin = -5 - xmax = 5 + + mpl.rcParams.update( + { + "mathtext.fontset": "stix", + "font.family": "serif", + "font.serif": "TeX Gyre Termes", + } + ) + N = 1201 + xmax = 6 + xmin = -xmax ns = np.arange(2, 12, 2) ylim = np.array([-11, -1.2]) @@ -20,13 +28,14 @@ if __name__ == "__main__": 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_xticks(np.arange(xmin, xmax + ga.EPSILON, 2)) + ax.set_xticks(np.arange(xmin, xmax + ga.EPSILON), minor=True) ax.set_yticks(10.0 ** np.arange(*ylim, 2)) - ax.set_yticks(10.0 ** np.arange(*ylim, 1), minor=True) + 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") + # fig.savefig(f"{ga.img_path}/rel_error_range.pgf") + fig.savefig(f"{ga.img_path}/rel_error_range.pdf") # plt.show() diff --git a/buch/papers/laguerre/scripts/rel_error_shifted.py b/buch/papers/laguerre/scripts/rel_error_shifted.py index 1515c6e..dc9d177 100644 --- a/buch/papers/laguerre/scripts/rel_error_shifted.py +++ b/buch/papers/laguerre/scripts/rel_error_shifted.py @@ -1,10 +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", + } + ) n = 8 # order of Laguerre polynomial N = 200 # number of points in interval @@ -19,7 +27,7 @@ if __name__ == "__main__": ax.semilogy(x, rel_error, label=f"$m={target}$", linewidth=3) gamma_lgo = ga.eval_laguerre_gamma(x, n=n, func="optimal_shifted") rel_error = np.abs(ga.calc_rel_error(gamma, gamma_lgo)) - ax.semilogy(x, rel_error, "m", linestyle="dotted", label="$m^*$", linewidth=3) + ax.semilogy(x, rel_error, "m", linestyle=":", label="$m^*$", linewidth=3) ax.set_xlim(x[0], x[-1]) ax.set_ylim(5e-9, 5e-8) ax.set_xlabel(r"$z$") @@ -27,5 +35,6 @@ if __name__ == "__main__": ax.set_xticks(np.linspace(0, 1, 11), minor=True) ax.grid(1, "both") ax.legend(ncol=1, fontsize=ga.fontsize) - fig.savefig(f"{ga.img_path}/rel_error_shifted.pgf") + # fig.savefig(f"{ga.img_path}/rel_error_shifted.pgf") + fig.savefig(f"{ga.img_path}/rel_error_shifted.pdf") # plt.show() diff --git a/buch/papers/laguerre/scripts/rel_error_simple.py b/buch/papers/laguerre/scripts/rel_error_simple.py index 0929976..686500b 100644 --- a/buch/papers/laguerre/scripts/rel_error_simple.py +++ b/buch/papers/laguerre/scripts/rel_error_simple.py @@ -1,10 +1,21 @@ 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 = 30 @@ -26,4 +37,5 @@ if __name__ == "__main__": # 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.pgf") + fig.savefig(f"{ga.img_path}/rel_error_simple.pdf") diff --git a/buch/papers/laguerre/scripts/targets.py b/buch/papers/laguerre/scripts/targets.py index 73d6e03..206b3a1 100644 --- a/buch/papers/laguerre/scripts/targets.py +++ b/buch/papers/laguerre/scripts/targets.py @@ -10,24 +10,33 @@ def find_best_loc(N=200, a=1.375, b=0.5, ns=None): bests = [] step = 1 / (N - 1) x = np.linspace(step, 1 - step, N + 1) - gamma = scipy.special.gamma(x)[:, None] + gamma = scipy.special.gamma(x) for n in ns: zeros, weights = np.polynomial.laguerre.laggauss(n) est = np.ceil(b + a * n) targets = np.arange(max(est - 2, 0), est + 3) - glag = [ - ga.eval_laguerre_gamma(x, target=target, x=zeros, w=weights, func="shifted") - for target in targets - ] - gamma_lag = np.stack(glag, -1) - rel_error = np.abs(ga.calc_rel_error(gamma, gamma_lag)) + rel_error = [] + for target in targets: + gamma_lag = ga.eval_laguerre_gamma(x, target=target, x=zeros, w=weights, func="shifted") + rel_error.append(np.abs(ga.calc_rel_error(gamma, gamma_lag))) + rel_error = np.stack(rel_error, -1) best = np.argmin(rel_error, -1) + targets[0] bests.append(best) return np.stack(bests, 0) if __name__ == "__main__": + import matplotlib as mpl import matplotlib.pyplot as plt + + mpl.rcParams.update( + { + "mathtext.fontset": "stix", + "font.family": "serif", + "font.serif": "TeX Gyre Termes", + } + ) + N = 200 ns = np.arange(2, 13) @@ -45,4 +54,5 @@ if __name__ == "__main__": ax.set_yticklabels(ns) ax.set_xlabel(r"$z$") ax.set_ylabel(r"$n$") - fig.savefig(f"{ga.img_path}/targets.pgf") + # fig.savefig(f"{ga.img_path}/targets.pgf") + fig.savefig(f"{ga.img_path}/targets.pdf") -- cgit v1.2.1