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/* Copyright (c) 1998 Silicon Graphics, Inc. */ |
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#ifndef lint |
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static char SCCSid[] = "$SunId$ SGI"; |
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static const char RCSid[] = "$Id$"; |
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#endif |
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/* |
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* Rtrace support routines for holodeck rendering |
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*/ |
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HOLO *hp; /* holodeck pointer */ |
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GCOORD gc; /* grid cell */ |
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FVECT egp; /* eye grid point */ |
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double erg[2]; /* eye range in wall grid coords */ |
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double erg2; /* mean square eye grid range */ |
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double gmin[2], gmax[2]; /* grid coordinate limits */ |
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}; /* a grid coordinate range */ |
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static |
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initeyelim(gcl, hd, gc) /* initialize grid coordinate limits */ |
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initeyelim(gcl, hp, gc) /* initialize grid coordinate limits */ |
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register struct gclim *gcl; |
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int hd; |
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register HOLO *hp; |
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GCOORD *gc; |
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{ |
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register FLOAT *v; |
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register RREAL *v; |
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register int i; |
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gcl->hp = hdlist[hd]; |
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copystruct(&gcl->gc, gc); |
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hdgrid(gcl->egp, gcl->hp, myeye.vpt); |
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for (i = 0; i < 2; i++) { |
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v = gcl->hp->wg[((gcl->gc.w>>1)+i+1)%3]; |
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gcl->erg[i] = myeye.rng * VLEN(v); |
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gcl->gmin[i] = FHUGE; gcl->gmax[i] = -FHUGE; |
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if (hp != NULL) { |
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hdgrid(gcl->egp, gcl->hp = hp, myeye.vpt); |
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gcl->erg2 = 0; |
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for (i = 0, v = hp->wg[0]; i < 3; i++, v += 3) |
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gcl->erg2 += DOT(v,v); |
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gcl->erg2 *= (1./3.) * myeye.rng*myeye.rng; |
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} |
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if (gc != NULL) |
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copystruct(&gcl->gc, gc); |
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gcl->gmin[0] = gcl->gmin[1] = FHUGE; |
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gcl->gmax[0] = gcl->gmax[1] = -FHUGE; |
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} |
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static |
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groweyelim(gcl, gp) /* grow grid limits about eye point */ |
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groweyelim(gcl, gc, r0, r1, tight) /* grow grid limits about eye point */ |
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register struct gclim *gcl; |
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FVECT gp; |
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GCOORD *gc; |
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double r0, r1; |
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int tight; |
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{ |
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FVECT ab; |
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double l2, d, mult, wg; |
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register int i, g; |
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|
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FVECT gp, ab; |
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double ab2, od, cfact; |
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double sqcoef[3], ctcoef[3], licoef[3], cnst; |
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int gw, gi[2]; |
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double wallpos, a, b, c, d, e, f; |
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double root[2], yex; |
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int n, i, j, nex; |
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/* point/view cone */ |
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i = gc->w>>1; |
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gp[i] = gc->w&1 ? gcl->hp->grid[i] : 0; |
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gp[hdwg0[gc->w]] = gc->i[0] + r0; |
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gp[hdwg1[gc->w]] = gc->i[1] + r1; |
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VSUB(ab, gcl->egp, gp); |
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l2 = DOT(ab,ab); |
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if (l2 <= gcl->erg[0]*gcl->erg[1]) { |
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ab2 = DOT(ab, ab); |
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gw = gcl->gc.w>>1; |
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if ((i==gw ? ab[gw]*ab[gw] : ab2) <= gcl->erg2 + FTINY) { |
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gcl->gmin[0] = gcl->gmin[1] = -FHUGE; |
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gcl->gmax[0] = gcl->gmax[1] = FHUGE; |
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return; |
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return; /* too close (to wall) */ |
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} |
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mult = gp[g = gcl->gc.w>>1]; |
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if (gcl->gc.w&1) |
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mult -= gcl->hp->grid[g]; |
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if (ab[g]*ab[g] > gcl->erg[0]*gcl->erg[1]) |
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mult /= -ab[g]; |
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else if (fabs(ab[hdwg0[gcl->gc.w]]) > fabs(ab[hdwg1[gcl->gc.w]])) |
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mult = (gcl->gc.i[0] + .5 - gp[hdwg0[gcl->gc.w]]) / |
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ab[hdwg0[gcl->gc.w]]; |
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else |
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mult = (gcl->gc.i[1] + .5 - gp[hdwg1[gcl->gc.w]]) / |
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ab[hdwg1[gcl->gc.w]]; |
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ab2 = 1./ab2; /* 1/norm2(ab) */ |
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od = DOT(gp, ab); /* origin dot direction */ |
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cfact = 1./(1. - ab2*gcl->erg2); /* tan^2 + 1 of cone angle */ |
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for (i = 0; i < 3; i++) { /* compute cone equation */ |
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sqcoef[i] = ab[i]*ab[i]*cfact*ab2 - 1.; |
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ctcoef[i] = 2.*ab[i]*ab[(i+1)%3]*cfact*ab2; |
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licoef[i] = 2.*(gp[i] - ab[i]*cfact*od*ab2); |
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} |
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cnst = cfact*od*od*ab2 - DOT(gp,gp); |
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/* |
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* CONE: sqcoef[0]*x*x + sqcoef[1]*y*y + sqcoef[2]*z*z |
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* + ctcoef[0]*x*y + ctcoef[1]*y*z + ctcoef[2]*z*x |
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* + licoef[0]*x + licoef[1]*y + licoef[2]*z + cnst == 0 |
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*/ |
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/* equation for conic section in plane */ |
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gi[0] = hdwg0[gcl->gc.w]; |
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gi[1] = hdwg1[gcl->gc.w]; |
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wallpos = gcl->gc.w&1 ? gcl->hp->grid[gw] : 0; |
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a = sqcoef[gi[0]]; /* x2 */ |
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b = ctcoef[gi[0]]; /* xy */ |
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c = sqcoef[gi[1]]; /* y2 */ |
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d = ctcoef[gw]*wallpos + licoef[gi[0]]; /* x */ |
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e = ctcoef[gi[1]]*wallpos + licoef[gi[1]]; /* y */ |
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f = wallpos*(wallpos*sqcoef[gw] + licoef[gw]) + cnst; |
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for (i = 0; i < 2; i++) { |
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g = ((gcl->gc.w>>1)+i+1)%3; |
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wg = gp[g] + mult*ab[g]; |
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d = mult*gcl->erg[i]; |
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if (d < 0.) d = -d; |
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if (wg - d < gcl->gmin[i]) |
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gcl->gmin[i] = wg - d; |
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if (wg + d > gcl->gmax[i]) |
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gcl->gmax[i] = wg + d; |
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if (i) { /* swap x and y coefficients */ |
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register double t; |
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t = a; a = c; c = t; |
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t = d; d = e; e = t; |
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} |
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nex = 0; /* check global extrema */ |
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n = quadratic(root, a*(4.*a*c-b*b), 2.*a*(2.*c*d-b*e), |
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d*(c*d-b*e) + f*b*b); |
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while (n-- > 0) { |
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if (gc->w>>1 == gi[i] && |
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(gc->w&1) ^ root[n] < gp[gc->w>>1]) { |
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if (gc->w&1) |
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gcl->gmin[i] = -FHUGE; |
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else |
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gcl->gmax[i] = FHUGE; |
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nex++; |
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continue; /* hyperbolic */ |
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} |
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if (tight) { |
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yex = (-2.*a*root[n] - d)/b; |
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if (yex < gcl->gc.i[1-i] || |
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yex > gcl->gc.i[1-i]+1) |
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continue; /* outside cell */ |
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} |
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if (root[n] < gcl->gmin[i]) |
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gcl->gmin[i] = root[n]; |
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if (root[n] > gcl->gmax[i]) |
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gcl->gmax[i] = root[n]; |
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nex++; |
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} |
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/* check local extrema */ |
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for (j = nex < 2 ? 2 : 0; j--; ) { |
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yex = gcl->gc.i[1-i] + j; |
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n = quadratic(root, a, b*yex+d, yex*(yex*c+e)+f); |
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while (n-- > 0) { |
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if (gc->w>>1 == gi[i] && |
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(gc->w&1) ^ root[n] < gp[gc->w>>1]) |
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continue; |
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if (root[n] < gcl->gmin[i]) |
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gcl->gmin[i] = root[n]; |
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if (root[n] > gcl->gmax[i]) |
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gcl->gmax[i] = root[n]; |
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} |
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} |
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} |
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} |
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gcl->gmin[i] = gcl->gc.i[i]; |
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if (gcl->gmax[i] > gcl->gc.i[i]+1) |
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gcl->gmax[i] = gcl->gc.i[i]+1; |
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if ((incell &= gcl->gmax[i] > gcl->gmin[i])) { |
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if (gcl->gmax[i] > gcl->gmin[i]) { |
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rrng[i][0] = 256.*(gcl->gmin[i] - gcl->gc.i[i]) + |
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(1.-FTINY); |
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rrng[i][1] = 256.*(gcl->gmax[i] - gcl->gc.i[i]) + |
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(1.-FTINY) - rrng[i][0]; |
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incell &= rrng[i][1] > 0; |
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} |
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} else |
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rrng[i][0] = rrng[i][1] = 0; |
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incell &= rrng[i][1] > 0; |
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} |
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return(incell); |
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} |
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register float *rod; |
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register PACKET *p; |
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{ |
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#define gp ro |
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#ifdef DEBUG |
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double dist2sum = 0.; |
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> |
#if 0 |
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double dist2sum = 0.; |
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FVECT vt; |
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#endif |
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int nretries = p->nr + 2; |
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if (!hdbcoord(gc, hdlist[p->hd], p->bi)) |
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error(CONSISTENCY, "bad beam index in packrays"); |
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if ((useyelim = myeye.rng > FTINY)) { |
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initeyelim(&eyelim, p->hd, gc); |
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gp[gc[1].w>>1] = gc[1].w&1 ? |
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hdlist[p->hd]->grid[gc[1].w>>1] : 0; |
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gp[hdwg0[gc[1].w]] = gc[1].i[0]; |
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gp[hdwg1[gc[1].w]] = gc[1].i[1]; |
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groweyelim(&eyelim, gp); |
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gp[hdwg0[gc[1].w]]++; |
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gp[hdwg1[gc[1].w]]++; |
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groweyelim(&eyelim, gp); |
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useyelim &= clipeyelim(rrng0, &eyelim); |
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initeyelim(&eyelim, hdlist[p->hd], gc); |
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groweyelim(&eyelim, gc+1, 0., 0., 0); |
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groweyelim(&eyelim, gc+1, 1., 1., 0); |
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useyelim = clipeyelim(rrng0, &eyelim); |
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#ifdef DEBUG |
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if (!useyelim) |
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error(WARNING, "no eye overlap in packrays"); |
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#endif |
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} |
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for (i = 0; i < p->nr; i++) { |
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retry: |
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if (useyelim) { |
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initeyelim(&eyelim, NULL, gc+1); |
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p->ra[i].r[0][0] = (int)(frandom()*rrng0[0][1]) |
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+ rrng0[0][0]; |
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p->ra[i].r[0][1] = (int)(frandom()*rrng0[1][1]) |
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+ rrng0[1][0]; |
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initeyelim(&eyelim, p->hd, gc+1); |
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gp[gc[0].w>>1] = gc[0].w&1 ? |
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hdlist[p->hd]->grid[gc[0].w>>1] : 0; |
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gp[hdwg0[gc[0].w]] = gc[0].i[0] + |
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(1./256.)*(p->ra[i].r[0][0]+.5); |
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gp[hdwg1[gc[0].w]] = gc[0].i[1] + |
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(1./256.)*(p->ra[i].r[0][1]+.5); |
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groweyelim(&eyelim, gp); |
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groweyelim(&eyelim, gc, |
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(1./256.)*(p->ra[i].r[0][0]+.5), |
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(1./256.)*(p->ra[i].r[0][1]+.5), 1); |
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if (!clipeyelim(rrng1, &eyelim)) { |
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useyelim &= nretries-- > 0; |
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> |
useyelim = nretries-- > 0; |
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#ifdef DEBUG |
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if (!useyelim) |
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error(WARNING, "exceeded retry limit in packrays"); |
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error(WARNING, |
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"exceeded retry limit in packrays"); |
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#endif |
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goto retry; |
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} |
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p->ra[i].r[1][1] = frandom() * 256.; |
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} |
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d = hdray(ro, rd, hdlist[p->hd], gc, p->ra[i].r); |
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#ifdef DEBUG |
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#if 0 |
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VSUM(vt, ro, rd, d); |
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dist2sum += dist2line(myeye.vpt, ro, vt); |
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#endif |
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VCOPY(rod, rd); |
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rod += 3; |
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} |
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< |
#ifdef DEBUG |
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< |
fprintf(stderr, "RMS distance = %f\n", sqrt(dist2sum/p->nr)); |
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> |
#if 0 |
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> |
fprintf(stderr, "%f RMS (%d retries)\t", sqrt(dist2sum/p->nr), |
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p->nr + 2 - nretries); |
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#endif |
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#undef gp |
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} |
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