| 1 |
greg |
1.1 |
#ifndef lint |
| 2 |
greg |
2.14 |
static const char RCSid[] = "$Id: srcsupp.c,v 2.13 2003/12/31 02:03:08 greg Exp $"; |
| 3 |
greg |
1.1 |
#endif |
| 4 |
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/* |
| 5 |
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* Support routines for source objects and materials |
| 6 |
greg |
2.9 |
* |
| 7 |
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* External symbols declared in source.h |
| 8 |
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*/ |
| 9 |
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| 10 |
greg |
2.10 |
#include "copyright.h" |
| 11 |
greg |
1.1 |
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| 12 |
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#include "ray.h" |
| 13 |
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| 14 |
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#include "otypes.h" |
| 15 |
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| 16 |
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#include "source.h" |
| 17 |
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| 18 |
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#include "cone.h" |
| 19 |
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| 20 |
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#include "face.h" |
| 21 |
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| 22 |
greg |
2.12 |
#define SRCINC 8 /* realloc increment for array */ |
| 23 |
greg |
1.1 |
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| 24 |
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SRCREC *source = NULL; /* our list of sources */ |
| 25 |
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int nsources = 0; /* the number of sources */ |
| 26 |
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| 27 |
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SRCFUNC sfun[NUMOTYPE]; /* source dispatch table */ |
| 28 |
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| 29 |
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| 30 |
greg |
2.9 |
void |
| 31 |
greg |
1.1 |
initstypes() /* initialize source dispatch table */ |
| 32 |
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{ |
| 33 |
greg |
1.9 |
extern VSMATERIAL mirror_vs, direct1_vs, direct2_vs; |
| 34 |
greg |
1.14 |
static SOBJECT fsobj = {fsetsrc, flatpart, fgetplaneq, fgetmaxdisk}; |
| 35 |
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static SOBJECT ssobj = {ssetsrc, nopart}; |
| 36 |
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static SOBJECT sphsobj = {sphsetsrc, nopart}; |
| 37 |
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static SOBJECT cylsobj = {cylsetsrc, cylpart}; |
| 38 |
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static SOBJECT rsobj = {rsetsrc, flatpart, rgetplaneq, rgetmaxdisk}; |
| 39 |
greg |
1.1 |
|
| 40 |
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sfun[MAT_MIRROR].mf = &mirror_vs; |
| 41 |
greg |
1.9 |
sfun[MAT_DIRECT1].mf = &direct1_vs; |
| 42 |
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sfun[MAT_DIRECT2].mf = &direct2_vs; |
| 43 |
greg |
1.1 |
sfun[OBJ_FACE].of = &fsobj; |
| 44 |
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sfun[OBJ_SOURCE].of = &ssobj; |
| 45 |
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sfun[OBJ_SPHERE].of = &sphsobj; |
| 46 |
greg |
1.14 |
sfun[OBJ_CYLINDER].of = &cylsobj; |
| 47 |
greg |
1.1 |
sfun[OBJ_RING].of = &rsobj; |
| 48 |
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} |
| 49 |
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| 50 |
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| 51 |
greg |
1.2 |
int |
| 52 |
greg |
1.1 |
newsource() /* allocate new source in our array */ |
| 53 |
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{ |
| 54 |
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if (nsources == 0) |
| 55 |
greg |
1.13 |
source = (SRCREC *)malloc(SRCINC*sizeof(SRCREC)); |
| 56 |
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else if (nsources%SRCINC == 0) |
| 57 |
greg |
2.11 |
source = (SRCREC *)realloc((void *)source, |
| 58 |
greg |
1.13 |
(unsigned)(nsources+SRCINC)*sizeof(SRCREC)); |
| 59 |
greg |
1.1 |
if (source == NULL) |
| 60 |
greg |
1.2 |
return(-1); |
| 61 |
greg |
1.1 |
source[nsources].sflags = 0; |
| 62 |
greg |
2.14 |
source[nsources].nhits = 1; |
| 63 |
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source[nsources].ntests = 2; /* initial hit probability = 50% */ |
| 64 |
greg |
2.12 |
#if SHADCACHE |
| 65 |
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source[nsources].obscache = NULL; |
| 66 |
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#endif |
| 67 |
greg |
1.2 |
return(nsources++); |
| 68 |
greg |
1.1 |
} |
| 69 |
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| 70 |
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| 71 |
greg |
2.9 |
void |
| 72 |
greg |
1.14 |
setflatss(src) /* set sampling for a flat source */ |
| 73 |
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register SRCREC *src; |
| 74 |
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{ |
| 75 |
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double mult; |
| 76 |
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register int i; |
| 77 |
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| 78 |
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src->ss[SV][0] = src->ss[SV][1] = src->ss[SV][2] = 0.0; |
| 79 |
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for (i = 0; i < 3; i++) |
| 80 |
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if (src->snorm[i] < 0.6 && src->snorm[i] > -0.6) |
| 81 |
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break; |
| 82 |
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src->ss[SV][i] = 1.0; |
| 83 |
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fcross(src->ss[SU], src->ss[SV], src->snorm); |
| 84 |
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mult = .5 * sqrt( src->ss2 / DOT(src->ss[SU],src->ss[SU]) ); |
| 85 |
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for (i = 0; i < 3; i++) |
| 86 |
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src->ss[SU][i] *= mult; |
| 87 |
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fcross(src->ss[SV], src->snorm, src->ss[SU]); |
| 88 |
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} |
| 89 |
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| 90 |
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| 91 |
greg |
2.9 |
void |
| 92 |
greg |
1.1 |
fsetsrc(src, so) /* set a face as a source */ |
| 93 |
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register SRCREC *src; |
| 94 |
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OBJREC *so; |
| 95 |
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{ |
| 96 |
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register FACE *f; |
| 97 |
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register int i, j; |
| 98 |
greg |
1.14 |
double d; |
| 99 |
greg |
1.1 |
|
| 100 |
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src->sa.success = 2*AIMREQT-1; /* bitch on second failure */ |
| 101 |
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src->so = so; |
| 102 |
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/* get the face */ |
| 103 |
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f = getface(so); |
| 104 |
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/* find the center */ |
| 105 |
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for (j = 0; j < 3; j++) { |
| 106 |
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src->sloc[j] = 0.0; |
| 107 |
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for (i = 0; i < f->nv; i++) |
| 108 |
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src->sloc[j] += VERTEX(f,i)[j]; |
| 109 |
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src->sloc[j] /= (double)f->nv; |
| 110 |
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} |
| 111 |
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if (!inface(src->sloc, f)) |
| 112 |
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objerror(so, USER, "cannot hit center"); |
| 113 |
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src->sflags |= SFLAT; |
| 114 |
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VCOPY(src->snorm, f->norm); |
| 115 |
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src->ss2 = f->area; |
| 116 |
greg |
1.14 |
/* find maximum radius */ |
| 117 |
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src->srad = 0.; |
| 118 |
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for (i = 0; i < f->nv; i++) { |
| 119 |
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d = dist2(VERTEX(f,i), src->sloc); |
| 120 |
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if (d > src->srad) |
| 121 |
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src->srad = d; |
| 122 |
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} |
| 123 |
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src->srad = sqrt(src->srad); |
| 124 |
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/* compute size vectors */ |
| 125 |
greg |
2.7 |
if (f->nv == 4) /* parallelogram case */ |
| 126 |
greg |
1.14 |
for (j = 0; j < 3; j++) { |
| 127 |
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src->ss[SU][j] = .5*(VERTEX(f,1)[j]-VERTEX(f,0)[j]); |
| 128 |
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src->ss[SV][j] = .5*(VERTEX(f,3)[j]-VERTEX(f,0)[j]); |
| 129 |
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} |
| 130 |
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else |
| 131 |
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setflatss(src); |
| 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 */ |
| 137 |
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register SRCREC *src; |
| 138 |
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register OBJREC *so; |
| 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 */ |
| 143 |
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src->so = so; |
| 144 |
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if (so->oargs.nfargs != 4) |
| 145 |
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objerror(so, USER, "bad arguments"); |
| 146 |
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src->sflags |= SDISTANT; |
| 147 |
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VCOPY(src->sloc, so->oargs.farg); |
| 148 |
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if (normalize(src->sloc) == 0.0) |
| 149 |
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objerror(so, USER, "zero direction"); |
| 150 |
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theta = PI/180.0/2.0 * so->oargs.farg[3]; |
| 151 |
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if (theta <= FTINY) |
| 152 |
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objerror(so, USER, "zero size"); |
| 153 |
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src->ss2 = 2.0*PI * (1.0 - cos(theta)); |
| 154 |
greg |
1.14 |
/* the following is approximate */ |
| 155 |
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src->srad = sqrt(src->ss2/PI); |
| 156 |
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VCOPY(src->snorm, src->sloc); |
| 157 |
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setflatss(src); /* hey, whatever works */ |
| 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; |
| 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 |
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| 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 |
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VCOPY(ns->aim, m->oargs.farg+4); |
| 254 |
|
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if ((ns->flen = normalize(ns->aim)) == 0.0) |
| 255 |
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objerror(m, USER, "zero focus vector"); |
| 256 |
greg |
2.5 |
m->os = (char *)ns; |
| 257 |
greg |
1.1 |
return(ns); |
| 258 |
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} |
| 259 |
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| 260 |
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| 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 |
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register SPOT *s; |
| 265 |
|
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{ |
| 266 |
|
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double d; |
| 267 |
|
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FVECT vd; |
| 268 |
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| 269 |
|
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if (s == NULL) |
| 270 |
|
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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 |
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vd[1] = s->aim[1] - r->rorg[1]; |
| 274 |
|
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vd[2] = s->aim[2] - r->rorg[2]; |
| 275 |
|
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d = DOT(r->rdir,vd); |
| 276 |
|
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/* wrong side? |
| 277 |
|
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if (d <= FTINY) |
| 278 |
|
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return(1); */ |
| 279 |
|
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d = DOT(vd,vd) - d*d; |
| 280 |
|
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if (PI*d > s->siz) |
| 281 |
|
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return(1); /* out */ |
| 282 |
|
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return(0); /* OK */ |
| 283 |
|
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} |
| 284 |
|
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/* local source */ |
| 285 |
|
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if (s->siz < 2.0*PI * (1.0 + DOT(s->aim,r->rdir))) |
| 286 |
|
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return(1); /* out */ |
| 287 |
|
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return(0); /* OK */ |
| 288 |
|
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} |
| 289 |
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| 290 |
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| 291 |
greg |
1.1 |
double |
| 292 |
|
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fgetmaxdisk(ocent, op) /* get center and squared radius of face */ |
| 293 |
|
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FVECT ocent; |
| 294 |
|
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OBJREC *op; |
| 295 |
|
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{ |
| 296 |
|
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double maxrad2; |
| 297 |
greg |
1.5 |
double d; |
| 298 |
greg |
1.1 |
register int i, j; |
| 299 |
|
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register FACE *f; |
| 300 |
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| 301 |
|
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f = getface(op); |
| 302 |
greg |
1.5 |
if (f->area == 0.) |
| 303 |
|
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return(0.); |
| 304 |
greg |
1.1 |
for (i = 0; i < 3; i++) { |
| 305 |
|
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ocent[i] = 0.; |
| 306 |
|
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for (j = 0; j < f->nv; j++) |
| 307 |
|
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ocent[i] += VERTEX(f,j)[i]; |
| 308 |
|
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ocent[i] /= (double)f->nv; |
| 309 |
|
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} |
| 310 |
greg |
1.5 |
d = DOT(ocent,f->norm); |
| 311 |
|
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for (i = 0; i < 3; i++) |
| 312 |
|
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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 |
|
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if (d > maxrad2) |
| 317 |
|
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maxrad2 = d; |
| 318 |
greg |
1.1 |
} |
| 319 |
|
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return(maxrad2); |
| 320 |
|
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} |
| 321 |
|
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|
| 322 |
|
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| 323 |
|
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double |
| 324 |
|
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rgetmaxdisk(ocent, op) /* get center and squared radius of ring */ |
| 325 |
|
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FVECT ocent; |
| 326 |
|
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OBJREC *op; |
| 327 |
|
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{ |
| 328 |
|
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register CONE *co; |
| 329 |
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|
|
| 330 |
|
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co = getcone(op, 0); |
| 331 |
|
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VCOPY(ocent, CO_P0(co)); |
| 332 |
|
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return(CO_R1(co)*CO_R1(co)); |
| 333 |
|
|
} |
| 334 |
|
|
|
| 335 |
|
|
|
| 336 |
|
|
double |
| 337 |
|
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fgetplaneq(nvec, op) /* get plane equation for face */ |
| 338 |
|
|
FVECT nvec; |
| 339 |
|
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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 |
} |