| 1 |
greg |
1.1 |
#ifndef lint
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| 2 |
greg |
2.13 |
static const char RCSid[] = "$Id: srcsupp.c,v 2.12 2003/12/31 01:50:02 greg Exp $";
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| 3 |
greg |
1.1 |
#endif
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| 4 |
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/*
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| 5 |
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* Support routines for source objects and materials
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| 6 |
greg |
2.9 |
*
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| 7 |
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* External symbols declared in source.h
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| 8 |
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*/
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| 9 |
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| 10 |
greg |
2.10 |
#include "copyright.h"
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| 11 |
greg |
1.1 |
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| 12 |
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#include "ray.h"
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| 13 |
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| 14 |
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#include "otypes.h"
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| 15 |
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| 16 |
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#include "source.h"
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| 17 |
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| 18 |
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#include "cone.h"
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| 19 |
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| 20 |
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#include "face.h"
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| 21 |
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| 22 |
greg |
2.12 |
#define SRCINC 8 /* realloc increment for array */
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| 23 |
greg |
1.1 |
|
| 24 |
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SRCREC *source = NULL; /* our list of sources */
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| 25 |
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int nsources = 0; /* the number of sources */
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| 26 |
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| 27 |
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SRCFUNC sfun[NUMOTYPE]; /* source dispatch table */
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| 28 |
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| 29 |
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| 30 |
greg |
2.9 |
void
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| 31 |
greg |
1.1 |
initstypes() /* initialize source dispatch table */
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| 32 |
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{
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| 33 |
greg |
1.9 |
extern VSMATERIAL mirror_vs, direct1_vs, direct2_vs;
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| 34 |
greg |
1.14 |
static SOBJECT fsobj = {fsetsrc, flatpart, fgetplaneq, fgetmaxdisk};
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| 35 |
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static SOBJECT ssobj = {ssetsrc, nopart};
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| 36 |
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static SOBJECT sphsobj = {sphsetsrc, nopart};
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| 37 |
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static SOBJECT cylsobj = {cylsetsrc, cylpart};
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| 38 |
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static SOBJECT rsobj = {rsetsrc, flatpart, rgetplaneq, rgetmaxdisk};
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| 39 |
greg |
1.1 |
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| 40 |
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sfun[MAT_MIRROR].mf = &mirror_vs;
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| 41 |
greg |
1.9 |
sfun[MAT_DIRECT1].mf = &direct1_vs;
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| 42 |
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sfun[MAT_DIRECT2].mf = &direct2_vs;
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| 43 |
greg |
1.1 |
sfun[OBJ_FACE].of = &fsobj;
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| 44 |
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sfun[OBJ_SOURCE].of = &ssobj;
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| 45 |
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sfun[OBJ_SPHERE].of = &sphsobj;
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| 46 |
greg |
1.14 |
sfun[OBJ_CYLINDER].of = &cylsobj;
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| 47 |
greg |
1.1 |
sfun[OBJ_RING].of = &rsobj;
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| 48 |
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}
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| 49 |
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| 50 |
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| 51 |
greg |
1.2 |
int
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| 52 |
greg |
1.1 |
newsource() /* allocate new source in our array */
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| 53 |
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{
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| 54 |
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if (nsources == 0)
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| 55 |
greg |
1.13 |
source = (SRCREC *)malloc(SRCINC*sizeof(SRCREC));
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| 56 |
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else if (nsources%SRCINC == 0)
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| 57 |
greg |
2.11 |
source = (SRCREC *)realloc((void *)source,
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| 58 |
greg |
1.13 |
(unsigned)(nsources+SRCINC)*sizeof(SRCREC));
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| 59 |
greg |
1.1 |
if (source == NULL)
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| 60 |
greg |
1.2 |
return(-1);
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| 61 |
greg |
1.1 |
source[nsources].sflags = 0;
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| 62 |
greg |
2.13 |
source[nsources].nhits = 0;
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| 63 |
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source[nsources].ntests = 1; /* initial hit probability = 0 */
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| 64 |
greg |
2.12 |
#if SHADCACHE
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| 65 |
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source[nsources].obscache = NULL;
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| 66 |
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#endif
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| 67 |
greg |
1.2 |
return(nsources++);
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| 68 |
greg |
1.1 |
}
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| 69 |
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| 70 |
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| 71 |
greg |
2.9 |
void
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| 72 |
greg |
1.14 |
setflatss(src) /* set sampling for a flat source */
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| 73 |
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register SRCREC *src;
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| 74 |
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{
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| 75 |
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double mult;
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| 76 |
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register int i;
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| 77 |
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| 78 |
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src->ss[SV][0] = src->ss[SV][1] = src->ss[SV][2] = 0.0;
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| 79 |
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for (i = 0; i < 3; i++)
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| 80 |
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if (src->snorm[i] < 0.6 && src->snorm[i] > -0.6)
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| 81 |
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break;
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| 82 |
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src->ss[SV][i] = 1.0;
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| 83 |
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fcross(src->ss[SU], src->ss[SV], src->snorm);
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| 84 |
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mult = .5 * sqrt( src->ss2 / DOT(src->ss[SU],src->ss[SU]) );
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| 85 |
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for (i = 0; i < 3; i++)
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| 86 |
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src->ss[SU][i] *= mult;
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| 87 |
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fcross(src->ss[SV], src->snorm, src->ss[SU]);
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| 88 |
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}
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| 89 |
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| 90 |
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| 91 |
greg |
2.9 |
void
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| 92 |
greg |
1.1 |
fsetsrc(src, so) /* set a face as a source */
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| 93 |
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register SRCREC *src;
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| 94 |
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OBJREC *so;
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| 95 |
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{
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| 96 |
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register FACE *f;
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| 97 |
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register int i, j;
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| 98 |
greg |
1.14 |
double d;
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| 99 |
greg |
1.1 |
|
| 100 |
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src->sa.success = 2*AIMREQT-1; /* bitch on second failure */
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| 101 |
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src->so = so;
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| 102 |
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/* get the face */
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| 103 |
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f = getface(so);
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| 104 |
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/* find the center */
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| 105 |
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for (j = 0; j < 3; j++) {
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| 106 |
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src->sloc[j] = 0.0;
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| 107 |
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for (i = 0; i < f->nv; i++)
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| 108 |
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src->sloc[j] += VERTEX(f,i)[j];
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| 109 |
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src->sloc[j] /= (double)f->nv;
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| 110 |
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}
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| 111 |
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if (!inface(src->sloc, f))
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| 112 |
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objerror(so, USER, "cannot hit center");
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| 113 |
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src->sflags |= SFLAT;
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| 114 |
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VCOPY(src->snorm, f->norm);
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| 115 |
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src->ss2 = f->area;
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| 116 |
greg |
1.14 |
/* find maximum radius */
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| 117 |
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src->srad = 0.;
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| 118 |
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for (i = 0; i < f->nv; i++) {
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| 119 |
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d = dist2(VERTEX(f,i), src->sloc);
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| 120 |
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if (d > src->srad)
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| 121 |
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src->srad = d;
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| 122 |
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}
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| 123 |
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src->srad = sqrt(src->srad);
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| 124 |
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/* compute size vectors */
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| 125 |
greg |
2.7 |
if (f->nv == 4) /* parallelogram case */
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| 126 |
greg |
1.14 |
for (j = 0; j < 3; j++) {
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| 127 |
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src->ss[SU][j] = .5*(VERTEX(f,1)[j]-VERTEX(f,0)[j]);
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| 128 |
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src->ss[SV][j] = .5*(VERTEX(f,3)[j]-VERTEX(f,0)[j]);
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| 129 |
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}
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| 130 |
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else
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| 131 |
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setflatss(src);
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| 132 |
greg |
1.1 |
}
|
| 133 |
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| 134 |
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| 135 |
greg |
2.9 |
void
|
| 136 |
greg |
1.1 |
ssetsrc(src, so) /* set a source as a source */
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| 137 |
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register SRCREC *src;
|
| 138 |
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register OBJREC *so;
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| 139 |
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{
|
| 140 |
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double theta;
|
| 141 |
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| 142 |
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src->sa.success = 2*AIMREQT-1; /* bitch on second failure */
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| 143 |
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src->so = so;
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| 144 |
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if (so->oargs.nfargs != 4)
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| 145 |
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objerror(so, USER, "bad arguments");
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| 146 |
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src->sflags |= SDISTANT;
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| 147 |
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VCOPY(src->sloc, so->oargs.farg);
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| 148 |
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if (normalize(src->sloc) == 0.0)
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| 149 |
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objerror(so, USER, "zero direction");
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| 150 |
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theta = PI/180.0/2.0 * so->oargs.farg[3];
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| 151 |
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if (theta <= FTINY)
|
| 152 |
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objerror(so, USER, "zero size");
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| 153 |
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src->ss2 = 2.0*PI * (1.0 - cos(theta));
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| 154 |
greg |
1.14 |
/* the following is approximate */
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| 155 |
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src->srad = sqrt(src->ss2/PI);
|
| 156 |
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VCOPY(src->snorm, src->sloc);
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| 157 |
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setflatss(src); /* hey, whatever works */
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| 158 |
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src->ss[SW][0] = src->ss[SW][1] = src->ss[SW][2] = 0.0;
|
| 159 |
greg |
1.1 |
}
|
| 160 |
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| 161 |
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| 162 |
greg |
2.9 |
void
|
| 163 |
greg |
1.1 |
sphsetsrc(src, so) /* set a sphere as a source */
|
| 164 |
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register SRCREC *src;
|
| 165 |
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register OBJREC *so;
|
| 166 |
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{
|
| 167 |
greg |
1.14 |
register int i;
|
| 168 |
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| 169 |
greg |
1.1 |
src->sa.success = 2*AIMREQT-1; /* bitch on second failure */
|
| 170 |
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src->so = so;
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| 171 |
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if (so->oargs.nfargs != 4)
|
| 172 |
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objerror(so, USER, "bad # arguments");
|
| 173 |
|
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if (so->oargs.farg[3] <= FTINY)
|
| 174 |
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objerror(so, USER, "illegal radius");
|
| 175 |
|
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VCOPY(src->sloc, so->oargs.farg);
|
| 176 |
greg |
1.14 |
src->srad = so->oargs.farg[3];
|
| 177 |
|
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src->ss2 = PI * src->srad * src->srad;
|
| 178 |
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for (i = 0; i < 3; i++)
|
| 179 |
|
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src->ss[SU][i] = src->ss[SV][i] = src->ss[SW][i] = 0.0;
|
| 180 |
|
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for (i = 0; i < 3; i++)
|
| 181 |
greg |
1.15 |
src->ss[i][i] = .7236 * so->oargs.farg[3];
|
| 182 |
greg |
1.1 |
}
|
| 183 |
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|
| 184 |
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| 185 |
greg |
2.9 |
void
|
| 186 |
greg |
1.1 |
rsetsrc(src, so) /* set a ring (disk) as a source */
|
| 187 |
|
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register SRCREC *src;
|
| 188 |
|
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OBJREC *so;
|
| 189 |
|
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{
|
| 190 |
|
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register CONE *co;
|
| 191 |
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|
| 192 |
|
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src->sa.success = 2*AIMREQT-1; /* bitch on second failure */
|
| 193 |
|
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src->so = so;
|
| 194 |
|
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/* get the ring */
|
| 195 |
|
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co = getcone(so, 0);
|
| 196 |
|
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VCOPY(src->sloc, CO_P0(co));
|
| 197 |
|
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if (CO_R0(co) > 0.0)
|
| 198 |
|
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objerror(so, USER, "cannot hit center");
|
| 199 |
|
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src->sflags |= SFLAT;
|
| 200 |
|
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VCOPY(src->snorm, co->ad);
|
| 201 |
greg |
1.14 |
src->srad = CO_R1(co);
|
| 202 |
|
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src->ss2 = PI * src->srad * src->srad;
|
| 203 |
|
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setflatss(src);
|
| 204 |
|
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}
|
| 205 |
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|
| 206 |
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|
| 207 |
greg |
2.9 |
void
|
| 208 |
greg |
1.14 |
cylsetsrc(src, so) /* set a cylinder as a source */
|
| 209 |
|
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register SRCREC *src;
|
| 210 |
|
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OBJREC *so;
|
| 211 |
|
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{
|
| 212 |
|
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register CONE *co;
|
| 213 |
|
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register int i;
|
| 214 |
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|
| 215 |
|
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src->sa.success = 4*AIMREQT-1; /* bitch on fourth failure */
|
| 216 |
|
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src->so = so;
|
| 217 |
|
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/* get the cylinder */
|
| 218 |
|
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co = getcone(so, 0);
|
| 219 |
|
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if (CO_R0(co) > .2*co->al) /* heuristic constraint */
|
| 220 |
|
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objerror(so, WARNING, "source aspect too small");
|
| 221 |
greg |
1.15 |
src->sflags |= SCYL;
|
| 222 |
greg |
1.14 |
for (i = 0; i < 3; i++)
|
| 223 |
|
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src->sloc[i] = .5 * (CO_P1(co)[i] + CO_P0(co)[i]);
|
| 224 |
greg |
1.15 |
src->srad = .5*co->al;
|
| 225 |
greg |
1.14 |
src->ss2 = 2.*CO_R0(co)*co->al;
|
| 226 |
|
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/* set sampling vectors */
|
| 227 |
|
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for (i = 0; i < 3; i++)
|
| 228 |
|
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src->ss[SU][i] = .5 * co->al * co->ad[i];
|
| 229 |
|
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src->ss[SV][0] = src->ss[SV][1] = src->ss[SV][2] = 0.0;
|
| 230 |
|
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for (i = 0; i < 3; i++)
|
| 231 |
|
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if (co->ad[i] < 0.6 && co->ad[i] > -0.6)
|
| 232 |
|
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break;
|
| 233 |
|
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src->ss[SV][i] = 1.0;
|
| 234 |
|
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fcross(src->ss[SW], src->ss[SV], co->ad);
|
| 235 |
|
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normalize(src->ss[SW]);
|
| 236 |
|
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for (i = 0; i < 3; i++)
|
| 237 |
greg |
1.15 |
src->ss[SW][i] *= .8559 * CO_R0(co);
|
| 238 |
greg |
1.14 |
fcross(src->ss[SV], src->ss[SW], co->ad);
|
| 239 |
greg |
1.1 |
}
|
| 240 |
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|
| 241 |
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|
| 242 |
|
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SPOT *
|
| 243 |
|
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makespot(m) /* make a spotlight */
|
| 244 |
|
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register OBJREC *m;
|
| 245 |
|
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{
|
| 246 |
|
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register SPOT *ns;
|
| 247 |
|
|
|
| 248 |
greg |
2.5 |
if ((ns = (SPOT *)m->os) != NULL)
|
| 249 |
|
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return(ns);
|
| 250 |
greg |
1.1 |
if ((ns = (SPOT *)malloc(sizeof(SPOT))) == NULL)
|
| 251 |
|
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return(NULL);
|
| 252 |
|
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ns->siz = 2.0*PI * (1.0 - cos(PI/180.0/2.0 * m->oargs.farg[3]));
|
| 253 |
|
|
VCOPY(ns->aim, m->oargs.farg+4);
|
| 254 |
|
|
if ((ns->flen = normalize(ns->aim)) == 0.0)
|
| 255 |
|
|
objerror(m, USER, "zero focus vector");
|
| 256 |
greg |
2.5 |
m->os = (char *)ns;
|
| 257 |
greg |
1.1 |
return(ns);
|
| 258 |
|
|
}
|
| 259 |
|
|
|
| 260 |
|
|
|
| 261 |
greg |
2.9 |
int
|
| 262 |
greg |
2.8 |
spotout(r, s) /* check if we're outside spot region */
|
| 263 |
greg |
2.5 |
register RAY *r;
|
| 264 |
|
|
register SPOT *s;
|
| 265 |
|
|
{
|
| 266 |
|
|
double d;
|
| 267 |
|
|
FVECT vd;
|
| 268 |
|
|
|
| 269 |
|
|
if (s == NULL)
|
| 270 |
|
|
return(0);
|
| 271 |
greg |
2.8 |
if (s->flen < -FTINY) { /* distant source */
|
| 272 |
greg |
2.5 |
vd[0] = s->aim[0] - r->rorg[0];
|
| 273 |
|
|
vd[1] = s->aim[1] - r->rorg[1];
|
| 274 |
|
|
vd[2] = s->aim[2] - r->rorg[2];
|
| 275 |
|
|
d = DOT(r->rdir,vd);
|
| 276 |
|
|
/* wrong side?
|
| 277 |
|
|
if (d <= FTINY)
|
| 278 |
|
|
return(1); */
|
| 279 |
|
|
d = DOT(vd,vd) - d*d;
|
| 280 |
|
|
if (PI*d > s->siz)
|
| 281 |
|
|
return(1); /* out */
|
| 282 |
|
|
return(0); /* OK */
|
| 283 |
|
|
}
|
| 284 |
|
|
/* local source */
|
| 285 |
|
|
if (s->siz < 2.0*PI * (1.0 + DOT(s->aim,r->rdir)))
|
| 286 |
|
|
return(1); /* out */
|
| 287 |
|
|
return(0); /* OK */
|
| 288 |
|
|
}
|
| 289 |
|
|
|
| 290 |
|
|
|
| 291 |
greg |
1.1 |
double
|
| 292 |
|
|
fgetmaxdisk(ocent, op) /* get center and squared radius of face */
|
| 293 |
|
|
FVECT ocent;
|
| 294 |
|
|
OBJREC *op;
|
| 295 |
|
|
{
|
| 296 |
|
|
double maxrad2;
|
| 297 |
greg |
1.5 |
double d;
|
| 298 |
greg |
1.1 |
register int i, j;
|
| 299 |
|
|
register FACE *f;
|
| 300 |
|
|
|
| 301 |
|
|
f = getface(op);
|
| 302 |
greg |
1.5 |
if (f->area == 0.)
|
| 303 |
|
|
return(0.);
|
| 304 |
greg |
1.1 |
for (i = 0; i < 3; i++) {
|
| 305 |
|
|
ocent[i] = 0.;
|
| 306 |
|
|
for (j = 0; j < f->nv; j++)
|
| 307 |
|
|
ocent[i] += VERTEX(f,j)[i];
|
| 308 |
|
|
ocent[i] /= (double)f->nv;
|
| 309 |
|
|
}
|
| 310 |
greg |
1.5 |
d = DOT(ocent,f->norm);
|
| 311 |
|
|
for (i = 0; i < 3; i++)
|
| 312 |
|
|
ocent[i] += (f->offset - d)*f->norm[i];
|
| 313 |
greg |
1.1 |
maxrad2 = 0.;
|
| 314 |
|
|
for (j = 0; j < f->nv; j++) {
|
| 315 |
greg |
1.5 |
d = dist2(VERTEX(f,j), ocent);
|
| 316 |
|
|
if (d > maxrad2)
|
| 317 |
|
|
maxrad2 = d;
|
| 318 |
greg |
1.1 |
}
|
| 319 |
|
|
return(maxrad2);
|
| 320 |
|
|
}
|
| 321 |
|
|
|
| 322 |
|
|
|
| 323 |
|
|
double
|
| 324 |
|
|
rgetmaxdisk(ocent, op) /* get center and squared radius of ring */
|
| 325 |
|
|
FVECT ocent;
|
| 326 |
|
|
OBJREC *op;
|
| 327 |
|
|
{
|
| 328 |
|
|
register CONE *co;
|
| 329 |
|
|
|
| 330 |
|
|
co = getcone(op, 0);
|
| 331 |
|
|
VCOPY(ocent, CO_P0(co));
|
| 332 |
|
|
return(CO_R1(co)*CO_R1(co));
|
| 333 |
|
|
}
|
| 334 |
|
|
|
| 335 |
|
|
|
| 336 |
|
|
double
|
| 337 |
|
|
fgetplaneq(nvec, op) /* get plane equation for face */
|
| 338 |
|
|
FVECT nvec;
|
| 339 |
|
|
OBJREC *op;
|
| 340 |
|
|
{
|
| 341 |
|
|
register FACE *fo;
|
| 342 |
|
|
|
| 343 |
|
|
fo = getface(op);
|
| 344 |
|
|
VCOPY(nvec, fo->norm);
|
| 345 |
|
|
return(fo->offset);
|
| 346 |
|
|
}
|
| 347 |
|
|
|
| 348 |
|
|
|
| 349 |
|
|
double
|
| 350 |
|
|
rgetplaneq(nvec, op) /* get plane equation for ring */
|
| 351 |
|
|
FVECT nvec;
|
| 352 |
|
|
OBJREC *op;
|
| 353 |
|
|
{
|
| 354 |
|
|
register CONE *co;
|
| 355 |
|
|
|
| 356 |
|
|
co = getcone(op, 0);
|
| 357 |
|
|
VCOPY(nvec, co->ad);
|
| 358 |
|
|
return(DOT(nvec, CO_P0(co)));
|
| 359 |
greg |
1.4 |
}
|
| 360 |
|
|
|
| 361 |
|
|
|
| 362 |
greg |
2.9 |
int
|
| 363 |
greg |
1.4 |
commonspot(sp1, sp2, org) /* set sp1 to intersection of sp1 and sp2 */
|
| 364 |
|
|
register SPOT *sp1, *sp2;
|
| 365 |
|
|
FVECT org;
|
| 366 |
|
|
{
|
| 367 |
|
|
FVECT cent;
|
| 368 |
|
|
double rad2, cos1, cos2;
|
| 369 |
|
|
|
| 370 |
|
|
cos1 = 1. - sp1->siz/(2.*PI);
|
| 371 |
|
|
cos2 = 1. - sp2->siz/(2.*PI);
|
| 372 |
|
|
if (sp2->siz >= 2.*PI-FTINY) /* BIG, just check overlap */
|
| 373 |
|
|
return(DOT(sp1->aim,sp2->aim) >= cos1*cos2 -
|
| 374 |
|
|
sqrt((1.-cos1*cos1)*(1.-cos2*cos2)));
|
| 375 |
|
|
/* compute and check disks */
|
| 376 |
|
|
rad2 = intercircle(cent, sp1->aim, sp2->aim,
|
| 377 |
|
|
1./(cos1*cos1) - 1., 1./(cos2*cos2) - 1.);
|
| 378 |
|
|
if (rad2 <= FTINY || normalize(cent) == 0.)
|
| 379 |
|
|
return(0);
|
| 380 |
|
|
VCOPY(sp1->aim, cent);
|
| 381 |
|
|
sp1->siz = 2.*PI*(1. - 1./sqrt(1.+rad2));
|
| 382 |
|
|
return(1);
|
| 383 |
|
|
}
|
| 384 |
|
|
|
| 385 |
|
|
|
| 386 |
greg |
2.9 |
int
|
| 387 |
greg |
1.4 |
commonbeam(sp1, sp2, dir) /* set sp1 to intersection of sp1 and sp2 */
|
| 388 |
|
|
register SPOT *sp1, *sp2;
|
| 389 |
|
|
FVECT dir;
|
| 390 |
|
|
{
|
| 391 |
|
|
FVECT cent, c1, c2;
|
| 392 |
|
|
double rad2, d;
|
| 393 |
|
|
register int i;
|
| 394 |
|
|
/* move centers to common plane */
|
| 395 |
|
|
d = DOT(sp1->aim, dir);
|
| 396 |
|
|
for (i = 0; i < 3; i++)
|
| 397 |
|
|
c1[i] = sp1->aim[i] - d*dir[i];
|
| 398 |
|
|
d = DOT(sp2->aim, dir);
|
| 399 |
|
|
for (i = 0; i < 3; i++)
|
| 400 |
|
|
c2[i] = sp2->aim[i] - d*dir[i];
|
| 401 |
|
|
/* compute overlap */
|
| 402 |
|
|
rad2 = intercircle(cent, c1, c2, sp1->siz/PI, sp2->siz/PI);
|
| 403 |
|
|
if (rad2 <= FTINY)
|
| 404 |
|
|
return(0);
|
| 405 |
|
|
VCOPY(sp1->aim, cent);
|
| 406 |
|
|
sp1->siz = PI*rad2;
|
| 407 |
|
|
return(1);
|
| 408 |
|
|
}
|
| 409 |
|
|
|
| 410 |
|
|
|
| 411 |
greg |
2.9 |
int
|
| 412 |
greg |
1.4 |
checkspot(sp, nrm) /* check spotlight for behind source */
|
| 413 |
|
|
register SPOT *sp; /* spotlight */
|
| 414 |
|
|
FVECT nrm; /* source surface normal */
|
| 415 |
|
|
{
|
| 416 |
|
|
double d, d1;
|
| 417 |
|
|
|
| 418 |
|
|
d = DOT(sp->aim, nrm);
|
| 419 |
|
|
if (d > FTINY) /* center in front? */
|
| 420 |
greg |
1.8 |
return(1);
|
| 421 |
greg |
1.4 |
/* else check horizon */
|
| 422 |
|
|
d1 = 1. - sp->siz/(2.*PI);
|
| 423 |
greg |
1.8 |
return(1.-FTINY-d*d < d1*d1);
|
| 424 |
greg |
1.4 |
}
|
| 425 |
|
|
|
| 426 |
|
|
|
| 427 |
|
|
double
|
| 428 |
greg |
1.6 |
spotdisk(oc, op, sp, pos) /* intersect spot with object op */
|
| 429 |
|
|
FVECT oc;
|
| 430 |
|
|
OBJREC *op;
|
| 431 |
|
|
register SPOT *sp;
|
| 432 |
|
|
FVECT pos;
|
| 433 |
|
|
{
|
| 434 |
|
|
FVECT onorm;
|
| 435 |
|
|
double offs, d, dist;
|
| 436 |
|
|
register int i;
|
| 437 |
|
|
|
| 438 |
|
|
offs = getplaneq(onorm, op);
|
| 439 |
|
|
d = -DOT(onorm, sp->aim);
|
| 440 |
|
|
if (d >= -FTINY && d <= FTINY)
|
| 441 |
|
|
return(0.);
|
| 442 |
|
|
dist = (DOT(pos, onorm) - offs)/d;
|
| 443 |
|
|
if (dist < 0.)
|
| 444 |
|
|
return(0.);
|
| 445 |
|
|
for (i = 0; i < 3; i++)
|
| 446 |
|
|
oc[i] = pos[i] + dist*sp->aim[i];
|
| 447 |
|
|
return(sp->siz*dist*dist/PI/(d*d));
|
| 448 |
|
|
}
|
| 449 |
|
|
|
| 450 |
|
|
|
| 451 |
|
|
double
|
| 452 |
|
|
beamdisk(oc, op, sp, dir) /* intersect beam with object op */
|
| 453 |
|
|
FVECT oc;
|
| 454 |
|
|
OBJREC *op;
|
| 455 |
|
|
register SPOT *sp;
|
| 456 |
|
|
FVECT dir;
|
| 457 |
|
|
{
|
| 458 |
|
|
FVECT onorm;
|
| 459 |
|
|
double offs, d, dist;
|
| 460 |
|
|
register int i;
|
| 461 |
|
|
|
| 462 |
|
|
offs = getplaneq(onorm, op);
|
| 463 |
|
|
d = -DOT(onorm, dir);
|
| 464 |
|
|
if (d >= -FTINY && d <= FTINY)
|
| 465 |
|
|
return(0.);
|
| 466 |
|
|
dist = (DOT(sp->aim, onorm) - offs)/d;
|
| 467 |
|
|
for (i = 0; i < 3; i++)
|
| 468 |
|
|
oc[i] = sp->aim[i] + dist*dir[i];
|
| 469 |
|
|
return(sp->siz/PI/(d*d));
|
| 470 |
|
|
}
|
| 471 |
|
|
|
| 472 |
|
|
|
| 473 |
|
|
double
|
| 474 |
greg |
1.4 |
intercircle(cc, c1, c2, r1s, r2s) /* intersect two circles */
|
| 475 |
|
|
FVECT cc; /* midpoint (return value) */
|
| 476 |
|
|
FVECT c1, c2; /* circle centers */
|
| 477 |
|
|
double r1s, r2s; /* radii squared */
|
| 478 |
|
|
{
|
| 479 |
|
|
double a2, d2, l;
|
| 480 |
|
|
FVECT disp;
|
| 481 |
|
|
register int i;
|
| 482 |
|
|
|
| 483 |
|
|
for (i = 0; i < 3; i++)
|
| 484 |
|
|
disp[i] = c2[i] - c1[i];
|
| 485 |
|
|
d2 = DOT(disp,disp);
|
| 486 |
|
|
/* circle within overlap? */
|
| 487 |
|
|
if (r1s < r2s) {
|
| 488 |
|
|
if (r2s >= r1s + d2) {
|
| 489 |
|
|
VCOPY(cc, c1);
|
| 490 |
|
|
return(r1s);
|
| 491 |
|
|
}
|
| 492 |
|
|
} else {
|
| 493 |
|
|
if (r1s >= r2s + d2) {
|
| 494 |
|
|
VCOPY(cc, c2);
|
| 495 |
|
|
return(r2s);
|
| 496 |
|
|
}
|
| 497 |
|
|
}
|
| 498 |
|
|
a2 = .25*(2.*(r1s+r2s) - d2 - (r2s-r1s)*(r2s-r1s)/d2);
|
| 499 |
|
|
/* no overlap? */
|
| 500 |
|
|
if (a2 <= 0.)
|
| 501 |
|
|
return(0.);
|
| 502 |
|
|
/* overlap, compute center */
|
| 503 |
|
|
l = sqrt((r1s - a2)/d2);
|
| 504 |
|
|
for (i = 0; i < 3; i++)
|
| 505 |
|
|
cc[i] = c1[i] + l*disp[i];
|
| 506 |
|
|
return(a2);
|
| 507 |
greg |
1.1 |
}
|