Difference between revisions of "Asymptote: Useful functions"

(Intersection points)
(Added another example)
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pair[] <b>intersectionpoints</b>(path, path);
 
pair[] <b>intersectionpoints</b>(path, path);
  
Example:  
+
Examples:  
 
<pre><nowiki>size(8cm,0);
 
<pre><nowiki>size(8cm,0);
 
import math;
 
import math;
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dot(x[1],3bp+blue);
 
dot(x[1],3bp+blue);
 
draw(x[0] -- x[1],1bp+red);</asy>
 
draw(x[0] -- x[1],1bp+red);</asy>
 +
 +
<pre><nowiki>
 +
path g=(-3,-sqrt(3))--(3,-sqrt(3))--(0,2*sqrt(3))--cycle;
 +
draw(g,black);
 +
path p=-2/3*(-3,-sqrt(3))--(-2/3)*(3,-sqrt(3))--(-2/3)*(0,2*sqrt(3))--cycle;
 +
draw(p,black);
 +
pair [] x=intersectionpoints(g, p);
 +
fill(x[0]--x[1]--x[2]--x[3]--x[4]--x[5]--cycle,black);
 +
dot((0,0),white);
 +
</nowiki></pre>
 +
<asy>
 +
path g=(-3,-sqrt(3))--(3,-sqrt(3))--(0,2*sqrt(3))--cycle;
 +
draw(g,black);
 +
path p=-2/3*(-3,-sqrt(3))--(-2/3)*(3,-sqrt(3))--(-2/3)*(0,2*sqrt(3))--cycle;
 +
draw(p,black);
 +
pair [] x=intersectionpoints(g, p);
 +
fill(x[0]--x[1]--x[2]--x[3]--x[4]--x[5]--cycle,black);
 +
dot((0,0),white);
 +
</asy>
 
Note that this function will cause an error if the paths involved do not intersect.
 
Note that this function will cause an error if the paths involved do not intersect.
  

Revision as of 12:46, 26 November 2011

Asymptote (Vector Graphics Language)
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Intersection points

pair[] intersectionpoints(path, path);

Examples:

size(8cm,0);
import math;
import graph;
real r,s;
pair a,b, common;
path circ1, circ2;
r=1; s=1;
a=(0,0);
b=(1,0);
circ1=circle(a,r);
circ2=circle(b,s);
draw(circ1,linewidth(1bp));
draw(circ2,1bp+green);
pair [] x=intersectionpoints(circ1, circ2);
dot(x[0],3bp+blue);
dot(x[1],3bp+blue);
draw(x[0] -- x[1],1bp+red);

[asy]size(200,200); import math; import graph; real r,s; pair a,b, common; path circ1, circ2; r=1; s=1; a=(0,0); b=(1,0); circ1=circle(a,r); circ2=circle(b,s); draw(circ1,linewidth(1bp)); draw(circ2,1bp+green); pair [] x=intersectionpoints(circ1, circ2); dot(x[0],3bp+blue); dot(x[1],3bp+blue); draw(x[0] -- x[1],1bp+red);[/asy]

path g=(-3,-sqrt(3))--(3,-sqrt(3))--(0,2*sqrt(3))--cycle;
draw(g,black);
path p=-2/3*(-3,-sqrt(3))--(-2/3)*(3,-sqrt(3))--(-2/3)*(0,2*sqrt(3))--cycle;
draw(p,black);
pair [] x=intersectionpoints(g, p);
fill(x[0]--x[1]--x[2]--x[3]--x[4]--x[5]--cycle,black);
dot((0,0),white);

[asy] path g=(-3,-sqrt(3))--(3,-sqrt(3))--(0,2*sqrt(3))--cycle; draw(g,black); path p=-2/3*(-3,-sqrt(3))--(-2/3)*(3,-sqrt(3))--(-2/3)*(0,2*sqrt(3))--cycle; draw(p,black); pair [] x=intersectionpoints(g, p); fill(x[0]--x[1]--x[2]--x[3]--x[4]--x[5]--cycle,black); dot((0,0),white); [/asy] Note that this function will cause an error if the paths involved do not intersect.


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