xref: /original-bsd/lib/libplot/hp7221/arc.c (revision cfde0222)
1 /*
2  * Copyright (c) 1980 Regents of the University of California.
3  * All rights reserved.  The Berkeley software License Agreement
4  * specifies the terms and conditions for redistribution.
5  */
6 
7 #ifndef lint
8 static char sccsid[] = "@(#)arc.c	5.1 (Berkeley) 05/07/85";
9 #endif not lint
10 
11 #include "hp7221.h"
12 
13 /*
14  * 7221 requires knowing the anlge of arc.  To do this, the triangle formula
15  *	c^2 = a^2 + b^2 - 2*a*b*cos(angle)
16  * is used where "a" and "b" are the radius of the circle and "c" is the
17  * distance between the beginning point and the end point.
18  *
19  * This gives us "angle" or angle - 180.  To find out which, draw a line from
20  * beg to center.  This splits the plane in half.  All points on one side of the
21  * plane will have the same sign when plugged into the equation for the line.
22  * Pick a point on the "right side" of the line (see program below).  If "end"
23  * has the same sign as this point does, then they are both on the same side
24  * of the line and so angle is < 180.  Otherwise, angle > 180.
25  */
26 
27 #define side(x,y)	(a*(x)+b*(y)+c > 0.0 ? 1 : -1)
28 
29 arc(xcent,ycent,xbeg,ybeg,xend,yend)
30 int xcent,ycent,xbeg,ybeg,xend,yend;
31 {
32 	double radius2, c2;
33 	double a,b,c;
34 	int angle;
35 
36 	/* Probably should check that this is really a circular arc.  */
37 	radius2 = (xcent-xbeg)*(xcent-xbeg) + (ycent-ybeg)*(ycent-ybeg);
38 	c2 = (xend-xbeg)*(xend-xbeg) + (yend-ybeg)*(yend-ybeg);
39 	angle = (int) ( 180.0/PI * acos(1.0 - c2/(2.0*radius2)) + 0.5 );
40 
41 	a = (double) (ycent - ybeg);
42 	b = (double) (xcent - xbeg);
43 	c = (double) (ycent*xbeg - xcent*ybeg);
44 	if (side(xbeg + (ycent-ybeg), ybeg - (xcent-xbeg)) != side(xend,yend))
45 		angle += 180;
46 
47 	move(xcent, ycent);
48 	/* Not quite implemented...
49 	printf("C(A%d c)[%d,%d]", angle, xbeg, ybeg);
50 	*/
51 }
52