Difference between revisions of "Asymptote: CSE5"

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(Mark Angle ( MA ))
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==Function List==
 
==Function List==
 
=== Mark Angle ( MA ) ===
 
=== Mark Angle ( MA ) ===
  function MA ( pair A, real t1, real t2, label L, color C )
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  pair MA(real a,Label s,int f,pen p,pair B,pair A,pair C,real r,int m,pair P,pen q)
  
This function marks an angle around point <math>A</math>, starting at angle <math>t1</math> degrees (<math>0</math> is the horizontal Ox axis, if the coordinate system would be centered in <math>A</math>), up to angle <math>t2</math>, with label <math>L</math> ("<nowiki>$\frac{\pi}{3}$</nowiki>" for example is a good value for this parameter), and color <math>C</math> (options are: <math>g</math> (gray), <math>lb</math> (light blue)).
+
The '''MA()''' or '''MarkAngle()''' command is a competitor of the olympiad '''anglemark()'''. The usage is
 +
'''MA(''' ''a,s,f,p'','''B,A,C,r''',''m,S,q'' ''')'''
 +
(the necessary arguments are bold and the optional ones are italic). Here
 +
 
 +
''a'' is the angle by which you want to rotate the label in degrees (0 by default);
 +
 
 +
''s'' is the string labelling the angle (empty string by default); the dollar (or now rather \(...\)) delimeters will be added automatically as in other cse5 labelling commands;
 +
 
 +
''f'' is the fontsize for your label (currently 9 by default; can be also reset by the '''anglefontsize=...''' command);
 +
 
 +
''p'' is the pen you wish to use for the label (red by default; can be also reset by the '''anglefontpen=...''' command);
 +
 
 +
'''B,A,C''' are the pairs determining the angle <math>\angle BAC</math> with the vertex <math>A</math>. The arcs are drawn counterclockwise from the side <math>AB</math> to the side <math>AC</math>;
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 +
'''r''' the radius of the largest arc in the anglemark;
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''m'' the number of arcs in the anglemark (<math>1</math> by default). Can be set to <math>0</math>, in which case no arcs will be drawn, <math>1</math> through <math>7</math>, in which case <math>m</math> arcs will be drawn, and anything <math>>7</math> in which case the sector will be filled with color;
 +
 
 +
''S'' allows you to position the label manually with respect to the middle point of the largest arc. The automatic positioning is where you, probably, want it to be the most: on the bisector of the angle right beyond the largest arc in the anglemark.
 +
 +
''q'' is the pen used for drawing the arcs or filling the sector (green by default; can be also reset by the '''anglepen=...''' command).
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 +
'''MA()''' returns the vertex of the angle.
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 +
Example of usage:
 +
<pre>
 +
size(200);
 +
pair A=dir(-40), B=dir(0);
 +
for(int k=0;k<9;++k)
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{
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pair C=dir(40*(k+1));
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D(A--D(MA(k*40+90,"\beta_{"+string(k)+"}",12,black,C,B,A,0.1,k,orange))--C);
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A=B;B=C;
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}
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</pre>  
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results in
 +
<asy>
 +
size(200);
 +
pair A=dir(-40), B=dir(0);
 +
for(int k=0;k<9;++k)
 +
{
 +
pair C=dir(40*(k+1));
 +
D(A--D(MA(k*40+90,"\beta_{"+string(k)+"}",12,black,C,B,A,0.1,k,orange))--C);
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A=B;B=C;
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}
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</asy>
  
 
== See Also ==
 
== See Also ==
 
*<url>viewtopic.php?t=149650 Description of the package</url> by [[AoPS]] user [[User:fedja|fedja]].
 
*<url>viewtopic.php?t=149650 Description of the package</url> by [[AoPS]] user [[User:fedja|fedja]].

Revision as of 13:45, 2 April 2008

Asymptote (Vector Graphics Language)
Getting Started - Basics - Drawing - Reference - Examples - Macros and Packages - Advanced Asymptote - 3D Graphics - Help

Useful functions - CSE5 Package - How to

The Asymptote CSE5 package is a useful package that is supported on the AoPS forum. It is much larger than most other packages, and contains doubles of each function; a function with a full name and a function with an abbreviated name.

Function List

Mark Angle ( MA )

pair MA(real a,Label s,int f,pen p,pair B,pair A,pair C,real r,int m,pair P,pen q)

The MA() or MarkAngle() command is a competitor of the olympiad anglemark(). The usage is MA( a,s,f,p,B,A,C,r,m,S,q ) (the necessary arguments are bold and the optional ones are italic). Here

a is the angle by which you want to rotate the label in degrees (0 by default);

s is the string labelling the angle (empty string by default); the dollar (or now rather \(...\)) delimeters will be added automatically as in other cse5 labelling commands;

f is the fontsize for your label (currently 9 by default; can be also reset by the anglefontsize=... command);

p is the pen you wish to use for the label (red by default; can be also reset by the anglefontpen=... command);

B,A,C are the pairs determining the angle $\angle BAC$ with the vertex $A$. The arcs are drawn counterclockwise from the side $AB$ to the side $AC$;

r the radius of the largest arc in the anglemark;

m the number of arcs in the anglemark ($1$ by default). Can be set to $0$, in which case no arcs will be drawn, $1$ through $7$, in which case $m$ arcs will be drawn, and anything $>7$ in which case the sector will be filled with color;

S allows you to position the label manually with respect to the middle point of the largest arc. The automatic positioning is where you, probably, want it to be the most: on the bisector of the angle right beyond the largest arc in the anglemark.

q is the pen used for drawing the arcs or filling the sector (green by default; can be also reset by the anglepen=... command).

MA() returns the vertex of the angle.

Example of usage:

size(200);
pair A=dir(-40), B=dir(0);
for(int k=0;k<9;++k)
{
pair C=dir(40*(k+1));
D(A--D(MA(k*40+90,"\beta_{"+string(k)+"}",12,black,C,B,A,0.1,k,orange))--C);
A=B;B=C;
}

results in [asy] size(200); pair A=dir(-40), B=dir(0); for(int k=0;k<9;++k) { pair C=dir(40*(k+1)); D(A--D(MA(k*40+90,"\beta_{"+string(k)+"}",12,black,C,B,A,0.1,k,orange))--C); A=B;B=C; } [/asy]

See Also

  • <url>viewtopic.php?t=149650 Description of the package</url> by AoPS user fedja.
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