tikz/3d-gradient-colored: added

tikz/3d-gradient-colored/3d-gradient-colored.tex

@@ -0,0 +1,47 @@
+\documentclass[varwidth=true, border=2pt]{standalone}
+
+\usepackage[usenames,dvipsnames]{xcolor}
+\usepackage{pgfplots}
+\pgfplotsset{compat=1.11}
+\usepackage{tikz}
+
+\begin{document}
+\pgfplotsset{
+    colormap={whitered}{
+        color(0.000cm)=(blue!50!black);
+        color(0.125cm)=(blue);
+        color(0.250cm)=(SkyBlue);
+        color(0.375cm)=(SkyBlue);
+        color(0.500cm)=(SpringGreen);
+        color(0.625cm)=(yellow);
+        color(0.750cm)=(yellow);
+        color(0.875cm)=(red);
+        color(1.000cm)=(red!50!black)
+    }
+}
+\begin{tikzpicture}
+    \begin{axis}[
+        domain=-2:2,
+        view={0}{90},
+        axis background/.style={fill=white},
+    ]
+        \addplot3[surf,
+                  samples=50,
+                  shader=interp,
+                  colormap name=whitered]
+                {x/exp(x^2+y^2)};
+        % \addplot3[contour gnuplot={number=15, labels=false},
+        %           very thick,
+        %           samples=30] 
+        %         {x/exp(x^2+y^2)};
+        \addplot3[blue,
+                  quiver={
+                          u={(1-2*x^2)*exp(-x^2-y^2)},
+                          v={-2*x*y*exp(-x^2-y^2)},
+                          scale arrows=0.3,
+                         },
+                  -stealth,samples=15]
+                {x/exp(x^2+y^2)};
+    \end{axis}
+\end{tikzpicture}
+\end{document}

tikz/3d-gradient-colored/3d-gradient-colored_contourtmp0.table

@@ -0,0 +1,341 @@
+
+# Surface 0 of 1 surfaces
+
+# Curve title: ""3d-gradient-colored_contourtmp0.dat""
+# Contour 0, label:      0.4
+ 0.62067  0.228107  0.4 
+ 0.604191  0.20688  0.4 
+ 0.550241  0.06895  0.4 
+ 0.550241 -0.06898  0.4 
+ 0.604214 -0.20691  0.4 
+ 0.62067 -0.228102  0.4 
+ 0.7586 -0.247438  0.4 
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+ 0.808627  0.20688  0.4 
+ 0.7586  0.247435  0.4 
+ 0.62067  0.228107  0.4 
+
+
+# Contour 1, label:      0.3
+ 0.48274  0.492135  0.3 
+ 0.476086  0.48274  0.3 
+ 0.402176  0.34481  0.3 
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+ 1.03446 -0.405831  0.3 
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+ 0.7586  0.592536  0.3 
+ 0.62067  0.583452  0.3 
+ 0.48274  0.492135  0.3 
+
+
+# Contour 2, label:      0.2
+ 0.48274  0.805972  0.2 
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+ 0.329248  0.62067  0.2 
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+ 1.03204 -0.75863  0.2 
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+ 1.37411 -0.20691  0.2 
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+ 1.37412  0.20688  0.2 
+ 1.33456  0.34481  0.2 
+ 1.31032  0.399737  0.2 
+ 1.27172  0.48274  0.2 
+ 1.17825  0.62067  0.2 
+ 1.17239  0.627653  0.2 
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+ 0.7586  0.871183  0.2 
+ 0.62067  0.865281  0.2 
+ 0.48274  0.805972  0.2 
+
+
+# Contour 3, label:      0.1
+ 0.62067  1.20274  0.1 
+ 0.527412  1.17239  0.1 
+ 0.48274  1.15931  0.1 
+ 0.34481  1.05953  0.1 
+ 0.326152  1.03446  0.1 
+ 0.239045  0.89653  0.1 
+ 0.20688  0.828226  0.1 
+ 0.185143  0.7586  0.1 
+ 0.152362  0.62067  0.1 
+ 0.130273  0.48274  0.1 
+ 0.115781  0.34481  0.1 
+ 0.107  0.20688  0.1 
+ 0.102853  0.06895  0.1 
+ 0.102853 -0.06898  0.1 
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+ 0.130279 -0.48277  0.1 
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+ 0.185151 -0.75863  0.1 
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+ 0.239059 -0.89656  0.1 
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+ 1.17239 -1.04335  0.1 
+ 1.18365 -1.03449  0.1 
+ 1.31032 -0.926516  0.1 
+ 1.33897 -0.89656  0.1 
+ 1.44825 -0.758644  0.1 
+ 1.53381 -0.6207  0.1 
+ 1.58618 -0.497219  0.1 
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+ 1.58618  0.497228  0.1 
+ 1.53383  0.62067  0.1 
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+ 0.7586  1.20736  0.1 
+ 0.62067  1.20274  0.1 
+
+
+# Contour 4, label:        0
+ 4.89094e-08  1.99997  0 
+-6.26617e-08  1.86204  0 
+-1.1295e-07  1.72411  0 
+ 1.42801e-08  1.58618  0 
+ 1.04787e-07  1.44825  0 
+ 3.47799e-07  1.31032  0 
+ 5.77227e-08  1.17239  0 
+-9.48916e-08  1.03446  0 
+ 3.16071e-09  0.89653  0 
+-1.18704e-07  0.7586  0 
+ 1.03236e-07  0.62067  0 
+ 5.89748e-08  0.48274  0 
+-6.07234e-07  0.34481  0 
+-3.00826e-07  0.20688  0 
+ 5.76332e-08  0.06895  0 
+-3.96564e-07 -0.06898  0 
+-5.10344e-07 -0.20691  0 
+ 7.21164e-08 -0.34484  0 
+-6.73148e-08 -0.48277  0 
+-4.38438e-08 -0.6207  0 
+-2.8782e-08 -0.75863  0 
+ 4.09067e-09 -0.89656  0 
+-9.38127e-08 -1.03449  0 
+-5.36999e-07 -1.17242  0 
+-2.10373e-07 -1.31035  0 
+ 1.06225e-07 -1.44828  0 
+-4.81826e-07 -1.58621  0 
+-1.30033e-08 -1.72414  0 
+-6.11936e-08 -1.86207  0 
+ 5.07091e-08 -2  0 
+
+
+# Contour 5, label:     -0.1
+-0.89656  1.17953 -0.1 
+-0.914403  1.17239 -0.1 
+-1.03449  1.12813 -0.1 
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+-0.89656  1.17953 -0.1 
+
+
+# Contour 6, label:     -0.2
+-0.89656  0.83561 -0.2 
+-1.03212  0.7586 -0.2 
+-1.03449  0.757115 -0.2 
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+-0.210377  0.06895 -0.2 
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+-0.6207  0.86529 -0.2 
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+-0.89656  0.83561 -0.2 
+
+
+# Contour 7, label:     -0.3
+-0.89656  0.537758 -0.3 
+-0.963546  0.48274 -0.3 
+-1.03449  0.405778 -0.3 
+-1.07456  0.34481 -0.3 
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+-0.89656  0.537758 -0.3 
+
+
+# Contour 8, label:     -0.4
+-0.75863  0.247435 -0.4 
+-0.808634  0.20688 -0.4 
+-0.893406  0.06895 -0.4 
+-0.893406 -0.06898 -0.4 
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+-0.75863 -0.247423 -0.4 
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+-0.550252  0.06895 -0.4 
+-0.604208  0.20688 -0.4 
+-0.6207  0.228119 -0.4 
+-0.75863  0.247435 -0.4 
+

tikz/3d-gradient-colored/Makefile

@@ -0,0 +1,33 @@
+SOURCE = 3d-gradient-colored
+DELAY = 80
+DENSITY = 300
+WIDTH = 512
+
+make:
+	pdflatex -shell-escape $(SOURCE).tex -output-format=pdf
+	make clean
+
+clean:
+	rm -rf  $(TARGET) *.class *.html *.log *.aux *.data *.gnuplot *.script *.dat
+
+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 $(SOURCE).svg --export-width=$(WIDTH) --export-plain-svg=$(SOURCE)1.svg
+	rsvg-convert -a -w 720 -f svg $(SOURCE)1.svg -o $(SOURCE).svg
+	rm $(SOURCE)1.svg

tikz/3d-gradient-colored/README.md

@@ -0,0 +1,10 @@
+Compiled example
+----------------
+![Example](3d-gradient-colored.png)
+
+
+Creation
+--------
+* Make sure that `gnuplot` is installed and in your PATH.
+* You can let Wolfram|Alpha calculate you gradients (http://www.wolframalpha.com/input/?i=gradient+of+x%2F%28e%5E%28x%5E2%2By%5E2%29%29)
+* See http://en.wikibooks.org/wiki/LaTeX/Colors for colors