From 3cfc9d9969f619450c0bb35e691f913b00746eb7 Mon Sep 17 00:00:00 2001 From: Martin Thoma Date: Mon, 24 Jun 2013 09:14:27 +0200 Subject: [PATCH] added example for polynomial interpolation --- tikz/polynomial-interpolation/Makefile | 31 ++++++++++++++++ tikz/polynomial-interpolation/Readme.md | 3 ++ .../polynomial-interpolation.png | Bin 0 -> 20069 bytes .../polynomial-interpolation.tex | 34 ++++++++++++++++++ 4 files changed, 68 insertions(+) create mode 100644 tikz/polynomial-interpolation/Makefile create mode 100644 tikz/polynomial-interpolation/Readme.md create mode 100644 tikz/polynomial-interpolation/polynomial-interpolation.png create mode 100644 tikz/polynomial-interpolation/polynomial-interpolation.tex diff --git a/tikz/polynomial-interpolation/Makefile b/tikz/polynomial-interpolation/Makefile new file mode 100644 index 0000000..43e2f38 --- /dev/null +++ b/tikz/polynomial-interpolation/Makefile @@ -0,0 +1,31 @@ +SOURCE = polynomial-interpolation +DELAY = 80 +DENSITY = 300 +WIDTH = 500 + +make: + pdflatex $(SOURCE).tex -output-format=pdf + make clean + +clean: + rm -rf $(TARGET) *.class *.html *.log *.aux *.data *.gnuplot + +gif: + pdfcrop $(SOURCE).pdf + convert -verbose -delay $(DELAY) -loop 0 -density $(DENSITY) $(SOURCE)-crop.pdf $(SOURCE).gif + make clean + +png: + make + make svg + inkscape $(SOURCE).svg -w $(WIDTH) --export-png=$(SOURCE).png + +transparentGif: + convert $(SOURCE).pdf -transparent white result.gif + make clean + +svg: + #inkscape $(SOURCE).pdf --export-plain-svg=$(SOURCE).svg + #pdf2svg $(SOURCE).pdf $(SOURCE).svg + # Necessary, as pdf2svg does not always create valid svgs: + inkscape $(SOURCE).svg --export-plain-svg=$(SOURCE).svg diff --git a/tikz/polynomial-interpolation/Readme.md b/tikz/polynomial-interpolation/Readme.md new file mode 100644 index 0000000..1e1f2a6 --- /dev/null +++ b/tikz/polynomial-interpolation/Readme.md @@ -0,0 +1,3 @@ +Compiled example +---------------- +![Example](polynomial-interpolation.png) diff --git 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-0,0 +1,34 @@ +\documentclass[varwidth=true, border=2pt]{standalone} + +\usepackage{pgfplots} +\usepackage{tikz} + +\begin{document} +\begin{tikzpicture} + \begin{axis}[ + %legend pos=south east, + axis x line=none, + axis y line=none, + %grid = major, + width=8cm, + height=12cm, + %grid style={dashed, gray!30}, + xmin=-90, % start the diagram at this x-coordinate + xmax= 30, % end the diagram at this x-coordinate + ymin=-36, % start the diagram at this y-coordinate + ymax= 57, % end the diagram at this y-coordinate + %axis background/.style={fill=white}, + xlabel=x, + ylabel=y, + %xticklabels={-2,-1.6,...,2}, + %yticklabels={-8,-7,...,8}, + %tick align=outside, + enlargelimits=true, + tension=0.08] + \addplot[domain=-90:30, black, thick,samples=500] {-30.550224302876202 +1.3405464324655687*x +0.33940746902954505*x*x +0.006043447628845429*x*x*x -0.00040762779516188906*x*x*x*x -0.000016598804950050045*x*x*x*x*x -2.1597800840011248e-7*x*x*x*x*x*x +-9.533599505095986e-10*x*x*x*x*x*x*x}; + %\addplot[domain=-90:30, red, thick,samples=500] {-107/168000000*x^5 -5053/50400000*x^4 -103/28800*x^3 +1237/20160*x^2 +59573/25200*x +-77/15}; + \addplot[red, only marks, mark=*] coordinates {(-79.66666666666667,9.333333333333329) (-69.33333333333333,19.33333333333333) (-58.333333333333336, 19.66666666666667) (-39.666666666666664,0) (-29.666666666666664,8.333333333333329) (-9,-21.33333333333333) (10.333333333333329,19.33333333333333) (22,19.66666666666667)}; + %\addlegendentry{$f(x)=x^3$} + \end{axis} +\end{tikzpicture} +\end{document}