dillon@CORY.BERKELEY.EDU (Matt Dillon) (05/11/87)
Oh what the hell.. Here's Bezier again, but this time I've added
an automation option... you can watch the Bezier curve bounce all over its
window by specifying a random seed:
bezier [seed [delay]]
example:
bezier 24
If you don't want it to run continuously, you can specify a delay
(passed directly to Delay()):
bezier 24 10
Otherwise, if you give it no arguments, it allows you to play with the
bezier curve like in my first posting.
P.S. running it on automatic 'bezier #', and setting the granularity to
about 40 looks very impressive.... I've found it somewhat appeasing to have
running on my workbench screen. I also optimized the source quite a bit.
-Matt
#! /bin/sh
# This is a shell archive, meaning:
# 1. Remove everything above the #! /bin/sh line.
# 2. Save the resulting text in a file.
# 3. Execute the file with /bin/sh (not csh) to create:
# bezier.c
# bezier.uue
# This archive created: Sun May 10 23:18:04 1987
export PATH; PATH=/bin:/usr/bin:$PATH
echo shar: "extracting 'bezier.c'" '(7410 characters)'
if test -f 'bezier.c'
then
echo shar: "will not over-write existing file 'bezier.c'"
else
cat << \!Funky!Stuff! > 'bezier.c'
/*
* BEZIER.C
*
* Matthew Dillon.
* Public Domain (no Copyrights whatsoever)
*
* -Assumes AZTEC compilation, +L (32 bit ints), with all AMIGA symbols
* precompiled. Additionally expects certain typedefs and routines
* found in MY.LIB, as well as some MY.LIB #include files.
*
* An experienced programmer can remove the MY.LIB dependancies
* (openlibs() call), and figure out what typedefs have been assumed if
* he wishes to compile the program. You can also simply extract the
* Bezier functions for your own use.
*
* BEZIER EQUATIONS:
*
* c(t) = T(t)BP
*
* T(t) = (t^3 t^2 t 1) P= ( P1 )
* B = ( -1 3 -3 1 ) ( P2 )
* ( 3 -6 3 0 ) ( P3 )
* ( -3 3 0 0 ) ( P4 )
* ( 1 0 0 0 )
*
* t: range 0 to 1
* C: coordinate matrix 1xD matrix (D = dimensions)
* B: Bezier matrix 4x4
* P: Ctrl. Point matrix 4xD matrix (D = dimensions)
*
* using D = 2
*/
#include <typedefs.h>
#include <xmisc.h>
#define SHIFTS 9
#define ONE (1<<SHIFTS)
typedef struct PropInfo XPI;
typedef struct Image IM;
extern IMESS *GetMsg();
#define MYGADGETS (WINDOWSIZING|WINDOWDRAG|WINDOWDEPTH|WINDOWCLOSE)
NW Nw = {
64, 64, 320, 100,
0, 1,
NEWSIZE|MOUSEBUTTONS|MOUSEMOVE|CLOSEWINDOW|GADGETDOWN|GADGETUP,
MYGADGETS|REPORTMOUSE|ACTIVATE|NOCAREREFRESH,
0, 0, (UBYTE *)"Bezier, By Matthew Dillon", NULL, NULL,
32, 64, -1, -1, WBENCHSCREEN
};
WIN *Win;
RP *Rp;
short Ux, Uy, Lx, Ly;
short Step = 128;
main(ac, av)
char *av[];
{
register IMESS *mess;
short notdone = 1;
short pt = -1;
short ptarray[4][2];
short auarray[4][2]; /* auto move */
short au = 0;
long delay = 0;
short gy, gg = 0;
XPI *po;
if (ac >= 2) {
if (ac >= 3)
delay = atoi(av[2]);
au = 1;
loadauto(auarray, atoi(av[1]));
}
init_gadgets(&Nw, &po);
exiterr(!openlibs(INTUITION_LIB|GRAPHICS_LIB), "unable to open libs");
exiterr(!(Win = OpenWindow(&Nw)), "unable to open window");
Rp = Win->RPort;
SetAPen(Rp, 1);
setpoint(ptarray, 0, 32, 32);
setpoint(ptarray, 1, 40, 40);
setpoint(ptarray, 2, 50, 50);
setpoint(ptarray, 3, 60, 60);
setbounds(ptarray);
while (notdone) {
short mx, my, mm = 0;
if (au == 0) {
WaitPort(Win->UserPort);
} else {
if (delay)
Delay(delay);
moveauto(auarray, ptarray);
}
while (mess = GetMsg(Win->UserPort)) {
switch(mess->Class) {
case CLOSEWINDOW:
notdone = 0;
break;
case NEWSIZE:
setbounds(ptarray);
break;
case GADGETUP:
case GADGETDOWN:
{
gg = mess->Class;
gy = po->VertPot / 256;
}
break;
case MOUSEBUTTONS:
switch(mess->Code) {
case SELECTDOWN:
pt = getpoint(ptarray, mess->MouseX, mess->MouseY);
movepoint(ptarray, pt, mess->MouseX, mess->MouseY);
drawcurve(ptarray);
break;
case SELECTUP:
pt = -1;
break;
}
break;
case MOUSEMOVE:
if (gg == GADGETDOWN) {
gy = po->VertPot / 256;
break;
}
mm = 1;
mx = mess->MouseX;
my = mess->MouseY;
break;
default:
break;
}
ReplyMsg(mess);
}
if (mm && pt >= 0) {
movepoint(ptarray, pt, mx, my);
drawcurve(ptarray);
}
if (gg) {
char buf[32];
if (gg == GADGETUP)
gg = 0;
if (gy + 1 >= 0 && gy + 1 != Step) {
Step = gy + 1;
sprintf(buf, "gran: %4ld/%ld", Step, ONE);
drawcurve(ptarray);
Move(Rp, Ux + 1, Uy + 16);
Text(Rp, buf, strlen(buf));
}
}
}
exiterr(1, NULL);
}
exiterr(n, str)
char *str;
{
if (n) {
if (str)
puts(str);
if (Win)
CloseWindow(Win);
closelibs(-1);
exit(1);
}
}
setbounds(a)
register long *a;
{
Ux = Win->BorderLeft;
Uy = Win->BorderTop;
Lx = Win->Width - Win->BorderRight;
Ly = Win->Height- Win->BorderBottom + 1;
drawcurve(a);
}
setpoint(a, pt, x, y)
register short a[4][2];
{
a[pt][0] = x;
a[pt][1] = y;
drawpoints(a, pt, pt + 1);
}
getpoint(a, x, y)
register short a[4][2];
{
register short i, bi;
register long r, br;
for (i = bi = 0, br = 0x7FFFFFFF; i < 4; ++i) {
r = (x-a[i][0])*(x-a[i][0]) + (y-a[i][1])*(y-a[i][1]);
if (r < br) {
bi = i;
br = r;
}
}
return(bi);
}
movepoint(a, pt, x, y)
register short a[4][2];
{
SetAPen(Rp, 0);
drawpoints(a, pt, pt + 1);
SetAPen(Rp, 1);
setpoint(a, pt, x, y);
}
#define S10(x) ((x) >> SHIFTS)
#define S20(x) ((x) >> (2*SHIFTS))
#define MUL3(x) ((x)+((x)<<1))
/*
* So I can use integer arithmatic, I am defining 512 as 1 (as far
* as the mathematics go), which means that I must divide any power
* multiplication by 512^(n-1). E.G. .5^2 = .25 ... to make 256^2
* equal 128, I must divide by 512^1
*/
drawcurve(a)
register short a[4][2];
{
long mr[4]; /* Holds T(t)B partial result */
char lastpt;
short array[ONE][2]; /* hold points to plot */
register long ttt3, t3, tt3;
register short t, i, n;
register long tt, ttt;
lastpt = 0;
for (t = n = 0; t <= ONE; t += Step) { /* t = 0 to 1 */
oncemore:
tt = t * t;
ttt= tt * t;
ttt3 = S20(MUL3(ttt));
tt3 = S10(MUL3(tt));
t3 = MUL3(t);
ttt = S20(ttt);
mr[0] = -ttt + tt3 - t3 + ONE;
mr[1] = ttt3 - (tt3<<1) + t3;
mr[2] = -ttt3 + tt3;
/* MR[3] is ttt */
for (i = 0; i < 2; ++i) {
array[n][i] = (mr[0] * a[0][i] + mr[1] * a[1][i] +
mr[2] * a[2][i] + ttt * a[3][i]) >> SHIFTS;
}
++n;
}
if (lastpt == 0 && t - Step < ONE) {
lastpt = 1;
t = ONE;
goto oncemore;
}
SetAPen(Rp, 0);
RectFill(Rp, Ux, Uy, Lx - 1, Ly - 1);
SetAPen(Rp, 1);
Move(Rp, a[0][0], a[0][1]);
PolyDraw(Rp, n, array);
drawpoints(a, 0, 4);
}
drawpoints(a, is, ie)
register short a[4][2];
{
register short i;
for (i = is; i < ie; ++i) {
Move(Rp, a[i][0] - 2, a[i][1]);
Draw(Rp, a[i][0] + 2, a[i][1]);
Move(Rp, a[i][0], a[i][1] - 2);
Draw(Rp, a[i][0], a[i][1] + 2);
}
}
/*
* AUTO ROUTINES ------------------------------------------------------
*/
loadauto(a, seed)
register short a[4][2];
{
register short i, j;
register long n;
n = random(seed);
for (i = 0; i < 4; ++i) {
for (j = 0; j < 2; ++j) {
n = random(n);
if ((a[i][j] = (((n>>1) & 15) - 7)) == 0)
a[i][j] = 1;
}
}
}
moveauto(au, ar)
register short au[4][2];
register short ar[4][2];
{
register short i, j;
short lb[2], mb[2];
lb[0] = Ux; lb[1] = Uy;
mb[0] = Lx; mb[1] = Ly;
for (i = 0; i < 4; ++i) {
for (j = 0; j < 2; ++j) {
if (au[i][j] < 0 && ar[i][j] <= lb[j]+8)
au[i][j] = -au[i][j];
if (au[i][j] > 0 && ar[i][j] >= mb[j]-8)
au[i][j] = -au[i][j];
ar[i][j] += au[i][j];
}
}
drawcurve(ar);
}
random(n)
{
return((n ^ (n >> 8)) * 13 + 1);
}
/*
* GADGET ROUTINES! ------------------------------------------------
*/
#define NG(nn) &Gadgets[nn+1]
#define G_YGLOB 1
#define G_XGLOB 2
XPI Props[] = {
{ AUTOKNOB|FREEVERT , 0, 0, 0x1FFF, 0x1FFF }
};
IM Images[] = {
{ 0,0,2,1,1, NULL, 1, 0, NULL },
};
GADGET Gadgets[] = {
{
NULL, -15, 11, 15, -19, GADGIMAGE|GADGHCOMP|GRELRIGHT|GRELHEIGHT,
GADGIMMEDIATE|RIGHTBORDER|RELVERIFY,PROPGADGET,
(APTR)&Images[0],NULL,NULL,0,(APTR)&Props[0], G_YGLOB, 0
},
};
GADGET *Gc;
long GUx, GUy;
init_gadgets(nw, ppo)
NW *nw;
XPI **ppo;
{
nw->FirstGadget = &Gadgets[0];
*ppo = &Props[0];
}
!Funky!Stuff!
fi # end of overwriting check
echo shar: "extracting 'bezier.uue'" '(12325 characters)'
if test -f 'bezier.uue'
then
echo shar: "will not over-write existing file 'bezier.uue'"
else
cat << \!Funky!Stuff! > 'bezier.uue'
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end
!Funky!Stuff!
fi # end of overwriting check
exit 0
# End of shell archive