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Martin Thoma 2013-04-08 10:51:04 +02:00
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35
tikz/center-line/Makefile Normal file
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SOURCE = center-line
DELAY = 80
DENSITY = 300
WIDTH = 512
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:
make
#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
rsvg-convert -a -w $(WIDTH) -f svg $(SOURCE).svg -o $(SOURCE)2.svg
inkscape $(SOURCE)2.svg --export-plain-svg=$(SOURCE).svg
rm $(SOURCE)2.svg

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tikz/center-line/center-line.png Normal file
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75
tikz/center-line/center-line.tex Normal file
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\documentclass{article}
\usepackage[pdftex,active,tightpage]{preview}
\setlength\PreviewBorder{2mm}
\usepackage{tikz}
\usepackage{tkz-fct}
\usetikzlibrary{shapes.misc}
\usetikzlibrary{shapes, calc, shapes,snakes}
\usepackage{amsmath,amssymb}
\begin{document}
\begin{preview}
\begin{tikzpicture}[cross/.style={ thick,
draw=gray,
cross out,
inner sep=0pt,
minimum width=4pt,
minimum height=4pt},
dot/.style={ thick,
draw=gray,
circle,
fill=black,
inner sep=0pt,
minimum width=4pt,
minimum height=4pt}]
\node at (0,3) {Schritt 1:};
\foreach \point in {(2,3),(4,3),(6,3),(8,3),(10,3),(12,3)}{
\node[cross] at \point {};
}
\foreach \point in {(3,3),(11,3)}{
\node[dot] at \point {};
}
\draw[->] (2,3) edge[bend left] (2.9,3);
\draw[->] (12,3) edge[bend right] (11.1,3);
%%%%%%%%%%%%%%%%%%%%%%%%
\node at (0,2) {Schritt 2:};
\foreach \point in {(3,2),(4,2),(6,2),(8,2),(10,2),(11,2)}{
\node[cross] at \point {};
}
\foreach \point in {(3.5,2),(4.33,2),(9.66,2),(10.5,2)}{
\node[dot] at \point {};
}
\draw[->] (3,2) edge[bend left] (3.4,2);
\draw[->] (4,2) edge[bend left] (4.2,2);
\draw[->] (11,2) edge[bend right] (10.6,2);
\draw[->] (10,2) edge[bend right] (9.73,2);
%%%%%%%%%%%%%%%%%%%%%%%%
\node at (0,1) {Schritt 3:};
\node[cross] at (7,1) {};
\node at (0,1.6) {$\vdots$};
\node at (0,2.6) {$\vdots$};
% Brace
\draw [decorate,decoration={brace,amplitude=6pt},yshift=3pt]
(2,3) -- (4,3) node [black,midway,yshift=12pt]
{\footnotesize 200m};
\draw [decorate,decoration={brace,amplitude=6pt},yshift=3pt]
(4,3) -- (6,3) node [black,midway,yshift=12pt]
{\footnotesize 200m};
\draw [decorate,decoration={brace,amplitude=6pt},yshift=3pt]
(6,3) -- (8,3) node [black,midway,yshift=12pt]
{\footnotesize 200m};
\draw [decorate,decoration={brace,amplitude=6pt},yshift=3pt]
(8,3) -- (10,3) node [black,midway,yshift=12pt]
{\footnotesize 200m};
\draw [decorate,decoration={brace,amplitude=6pt},yshift=3pt]
(10,3) -- (12,3) node [black,midway,yshift=12pt]
{\footnotesize 200m};
\end{tikzpicture}
\end{preview}
\end{document}

40
tikz/center-line/tikz.py Normal file
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from random import uniform
import random
import math
n = 5
xMin, yMin = 0, 0
xMax, yMax = 5, 5
xSum = 0
ySum = 0
coordinates = []
random.seed(42)
for i in range(n):
x = uniform(xMin, xMax)
y = uniform(yMin, yMax)
xSum += x
ySum += y
coordinates.append((x,y))
center = (float(xSum) / n, float(ySum) / n)
cx, cy = center
pointCoords = ""
for p in coordinates:
px, py = p
newP = "(%.2f,%.2f)," % (px, py)
pointCoords = newP + pointCoords
deltaY = cy-py
deltaX = cx-px
length = (deltaY**2+deltaX**2)**0.5
sinAlpha = deltaY/length
cosAlpha = deltaX/length
print("\draw[->] (%.2f,%.2f) -- (%.2f,%.2f);" % (px, py, px+cosAlpha*length*0.80, py+sinAlpha*length*0.80))
print("\\node[circle,inner sep=1pt,fill] at (%.2f,%.2f) {};" % (cx, cy))
print("\\foreach \point in {" + pointCoords + "}{")
print("\\node[dot] at \point {};")
print("}")

35
tikz/center-two-cluster/Makefile Normal file
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SOURCE = center-two-cluster
DELAY = 80
DENSITY = 300
WIDTH = 512
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:
make
#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
rsvg-convert -a -w $(WIDTH) -f svg $(SOURCE).svg -o $(SOURCE)2.svg
inkscape $(SOURCE)2.svg --export-plain-svg=$(SOURCE).svg
rm $(SOURCE)2.svg

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47
tikz/center-two-cluster/center-two-cluster.tex Normal file
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\documentclass{article}
\usepackage[pdftex,active,tightpage]{preview}
\setlength\PreviewBorder{2mm}
\usepackage{tikz}
\usepackage{tkz-fct}
\usetikzlibrary{shapes.misc}
\usetikzlibrary{shapes, calc, shapes,snakes}
\usepackage{amsmath,amssymb}
\begin{document}
\begin{preview}
\begin{tikzpicture}[scale=0.1,dot/.style={ thick,
draw=gray,
cross out,
inner sep=0pt,
minimum width=4pt,
minimum height=4pt}]
\draw[->] (-3.43,8.41) -- (-0.69,1.68);
\draw[->] (-5.48,3.65) -- (-1.10,0.73);
\draw[->] (2.52,-7.45) -- (0.50,-1.49);
\draw[->] (2.97,-3.76) -- (0.59,-0.75);
\draw[->] (3.43,-0.85) -- (0.69,-0.17);
\draw[->] (15.00,0.00) -- (3.00,0.00);
\node[circle,inner sep=1pt,fill] at (0.00,0.00) {};
\foreach \point in {(15.00,0.00),(3.43,-0.85),(2.97,-3.76),(2.52,-7.45),(-5.48,3.65),(-3.43,8.41)}{
\node[dot] at \point {};
}
\draw[->] (39.63,0.85) -- (39.93,0.17);
\draw[->] (43.27,-8.94) -- (40.65,-1.79);
\draw[->] (38.54,9.68) -- (39.71,1.94);
\draw[->] (34.19,-5.01) -- (38.84,-1.00);
\draw[->] (44.37,3.43) -- (40.87,0.69);
\draw[->] (25.00,0.00) -- (37.00,0.00);
\node[circle,inner sep=1pt,fill] at (40.00,0.00) {};
\foreach \point in {(25.00,0.00),(44.37,3.43),(34.19,-5.01),(38.54,9.68),(43.27,-8.94),(39.63,0.85)}{
\node[dot] at \point {};
}
\node[circle,inner sep=1pt,fill] at (40.00,0.00) {};
\foreach \point in {(15,0), (35,0)}{
\node[dot] at \point {};
}
\end{tikzpicture}
\end{preview}
\end{document}

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tikz/center-two-cluster/tikz.py Normal file
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from random import uniform
import random
import math
print """\documentclass{article}
\usepackage[pdftex,active,tightpage]{preview}
\setlength\PreviewBorder{2mm}
\usepackage{tikz}
\usepackage{tkz-fct}
\usetikzlibrary{shapes.misc}
\usetikzlibrary{shapes, calc, shapes,snakes}
\usepackage{amsmath,amssymb}
\\begin{document}
\\begin{preview}
\\begin{tikzpicture}[scale=0.1,dot/.style={ thick,
draw=gray,
cross out,
inner sep=0pt,
minimum width=4pt,
minimum height=4pt}]
"""
def getPositionFromOffset(px, py, angle, radius):
x = px + radius * math.cos(math.radians(angle))
y = py + radius * math.sin(math.radians(angle))
return (x, y)
n = 5
xSum = 0
ySum = 0
coordinates = [(0,0)]
random.seed(13)
for i in range(n-1):
radius = uniform(0,20)
angle = uniform(0, 360)
px, py = coordinates[-1]
x, y = getPositionFromOffset(px, py, angle, radius)
xSum += x
ySum += y
coordinates.append((x,y))
center = (float(xSum) / n, float(ySum) / n)
cx, cy = center
coordinates.append((cx+15, cy))
pointCoords = ""
for p in coordinates:
px, py = p
px -= cx
py -= cy
newP = "(%.2f,%.2f)," % (px, py)
pointCoords = newP + pointCoords
deltaY = 0-py
deltaX = 0-px
length = (deltaY**2+deltaX**2)**0.5
sinAlpha = deltaY/length
cosAlpha = deltaX/length
print("\draw[->] (%.2f,%.2f) -- (%.2f,%.2f);" % (px, py, px+cosAlpha*length*0.80, py+sinAlpha*length*0.80))
print("\\node[circle,inner sep=1pt,fill] at (%.2f,%.2f) {};" % (0, 0))
print("\\foreach \point in {" + pointCoords[:-1] + "}{")
print("\\node[dot] at \point {};")
print("}")
################################################################################
random.seed(17)
xSum = 0
ySum = 0
coordinates = [(0,0)]
for i in range(n-1):
radius = uniform(0,20)
angle = uniform(0, 360)
px, py = coordinates[-1]
x, y = getPositionFromOffset(px, py, angle, radius)
xSum += x
ySum += y
coordinates.append((x,y))
center = (float(xSum) / n, float(ySum) / n)
cx, cy = center
coordinates.append((cx-15,cy))
xOffset = 40
cTmp = []
for p in coordinates:
px, py = p
cTmp.append((px-cx+xOffset,py-cy))
coordinates = cTmp
cx, cy = xOffset, 0
pointCoords = ""
for p in coordinates:
px, py = p
newP = "(%.2f,%.2f)," % (px, py)
pointCoords = newP + pointCoords
deltaY = -py
deltaX = xOffset-px
length = (deltaY**2+deltaX**2)**0.5
sinAlpha = deltaY/length
cosAlpha = deltaX/length
print("\draw[->] (%.2f,%.2f) -- (%.2f,%.2f);" % (px, py, px+cosAlpha*length*0.80, py+sinAlpha*length*0.80))
print("\\node[circle,inner sep=1pt,fill] at (%.2f,%.2f) {};" % (xOffset, 0))
print("\\foreach \point in {" + pointCoords[:-1] + "}{")
print("\\node[dot] at \point {};")
print("}")
##################################
print("\\node[circle,inner sep=1pt,fill] at (%.2f,%.2f) {};" % (xOffset, 0))
print("\\foreach \point in {(15,0), (35,0)}{")
print("\\node[dot] at \point {};")
print("}")
print """
\end{tikzpicture}
\end{preview}
\end{document}
"""

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tikz/center/Makefile Normal file
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SOURCE = center
DELAY = 80
DENSITY = 300
WIDTH = 512
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:
make
#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
rsvg-convert -a -w $(WIDTH) -f svg $(SOURCE).svg -o $(SOURCE)2.svg
inkscape $(SOURCE)2.svg --export-plain-svg=$(SOURCE).svg
rm $(SOURCE)2.svg

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29
tikz/center/center.tex Normal file
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\documentclass{article}
\usepackage[pdftex,active,tightpage]{preview}
\setlength\PreviewBorder{2mm}
\usepackage{tikz}
\usepackage{tkz-fct}
\usetikzlibrary{shapes.misc}
\usetikzlibrary{shapes, calc, shapes,snakes}
\usepackage{amsmath,amssymb}
\begin{document}
\begin{preview}
\begin{tikzpicture}[dot/.style={ thick,
draw=gray,
cross out,
inner sep=0pt,
minimum width=4pt,
minimum height=4pt}]
\draw[->] (3.20,0.13) -- (3.01,0.86);
\draw[->] (1.38,1.12) -- (2.65,1.06);
\draw[->] (3.68,3.38) -- (3.11,1.51);
\draw[->] (4.46,0.43) -- (3.26,0.92);
\draw[->] (2.11,0.15) -- (2.79,0.86);
\node[circle,inner sep=1pt,fill] at (2.97,1.04) {};
\foreach \point in {(2.11,0.15),(4.46,0.43),(3.68,3.38),(1.38,1.12),(3.20,0.13)}{
\node[dot] at \point {};
}
\end{tikzpicture}
\end{preview}
\end{document}

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tikz/center/tikz.py Normal file
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from random import uniform
import random
import math
n = 5
xMin, yMin = 0, 0
xMax, yMax = 5, 5
xSum = 0
ySum = 0
coordinates = []
random.seed(42)
for i in range(n):
x = uniform(xMin, xMax)
y = uniform(yMin, yMax)
xSum += x
ySum += y
coordinates.append((x,y))
center = (float(xSum) / n, float(ySum) / n)
cx, cy = center
pointCoords = ""
for p in coordinates:
px, py = p
newP = "(%.2f,%.2f)," % (px, py)
pointCoords = newP + pointCoords
deltaY = cy-py
deltaX = cx-px
length = (deltaY**2+deltaX**2)**0.5
sinAlpha = deltaY/length
cosAlpha = deltaX/length
print("\draw[->] (%.2f,%.2f) -- (%.2f,%.2f);" % (px, py, px+cosAlpha*length*0.80, py+sinAlpha*length*0.80))
print("\\node[circle,inner sep=1pt,fill] at (%.2f,%.2f) {};" % (cx, cy))
print("\\foreach \point in {" + pointCoords + "}{")
print("\\node[dot] at \point {};")
print("}")