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gwlarson |
3.1 |
/* 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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#endif |
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/* |
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* sm_geom.c |
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*/ |
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#include "standard.h" |
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#include "sm_geom.h" |
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tri_centroid(v0,v1,v2,c) |
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FVECT v0,v1,v2,c; |
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{ |
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/* Average three triangle vertices to give centroid: return in c */ |
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c[0] = (v0[0] + v1[0] + v2[0])/3.0; |
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c[1] = (v0[1] + v1[1] + v2[1])/3.0; |
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c[2] = (v0[2] + v1[2] + v2[2])/3.0; |
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} |
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int |
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vec3_equal(v1,v2) |
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FVECT v1,v2; |
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{ |
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return(EQUAL(v1[0],v2[0]) && EQUAL(v1[1],v2[1])&& EQUAL(v1[2],v2[2])); |
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} |
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int |
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convex_angle(v0,v1,v2) |
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FVECT v0,v1,v2; |
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{ |
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gwlarson |
3.7 |
FVECT cp,cp01,cp12,v10,v02; |
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double dp; |
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/* |
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VSUB(v10,v1,v0); |
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VSUB(v02,v0,v2); |
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VCROSS(cp,v10,v02); |
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*/ |
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/* test sign of (v0Xv1)X(v1Xv2). v1 */ |
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gwlarson |
3.1 |
VCROSS(cp01,v0,v1); |
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VCROSS(cp12,v1,v2); |
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VCROSS(cp,cp01,cp12); |
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gwlarson |
3.7 |
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dp = DOT(cp,v1); |
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if(ZERO(dp) || dp < 0.0) |
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gwlarson |
3.1 |
return(FALSE); |
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return(TRUE); |
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} |
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/* calculates the normal of a face contour using Newell's formula. e |
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a = SUMi (yi - yi+1)(zi + zi+1) |
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b = SUMi (zi - zi+1)(xi + xi+1) |
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c = SUMi (xi - xi+1)(yi + yi+1) |
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*/ |
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double |
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tri_normal(v0,v1,v2,n,norm) |
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FVECT v0,v1,v2,n; |
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gwlarson |
3.4 |
int norm; |
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gwlarson |
3.1 |
{ |
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double mag; |
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n[0] = (v0[2] + v1[2]) * (v0[1] - v1[1]) + |
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(v1[2] + v2[2]) * (v1[1] - v2[1]) + |
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(v2[2] + v0[2]) * (v2[1] - v0[1]); |
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n[1] = (v0[2] - v1[2]) * (v0[0] + v1[0]) + |
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(v1[2] - v2[2]) * (v1[0] + v2[0]) + |
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(v2[2] - v0[2]) * (v2[0] + v0[0]); |
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n[2] = (v0[1] + v1[1]) * (v0[0] - v1[0]) + |
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(v1[1] + v2[1]) * (v1[0] - v2[0]) + |
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(v2[1] + v0[1]) * (v2[0] - v0[0]); |
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if(!norm) |
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return(0); |
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mag = normalize(n); |
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return(mag); |
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} |
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gwlarson |
3.7 |
tri_plane_equation(v0,v1,v2,peqptr,norm) |
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FVECT v0,v1,v2; |
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FPEQ *peqptr; |
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gwlarson |
3.4 |
int norm; |
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gwlarson |
3.1 |
{ |
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gwlarson |
3.7 |
tri_normal(v0,v1,v2,FP_N(*peqptr),norm); |
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gwlarson |
3.1 |
|
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gwlarson |
3.7 |
FP_D(*peqptr) = -(DOT(FP_N(*peqptr),v0)); |
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gwlarson |
3.1 |
} |
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/* From quad_edge-code */ |
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int |
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point_in_circle_thru_origin(p,p0,p1) |
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FVECT p; |
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FVECT p0,p1; |
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{ |
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double dp0,dp1; |
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double dp,det; |
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dp0 = DOT_VEC2(p0,p0); |
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dp1 = DOT_VEC2(p1,p1); |
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dp = DOT_VEC2(p,p); |
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det = -dp0*CROSS_VEC2(p1,p) + dp1*CROSS_VEC2(p0,p) - dp*CROSS_VEC2(p0,p1); |
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return (det > 0); |
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} |
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point_on_sphere(ps,p,c) |
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FVECT ps,p,c; |
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{ |
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VSUB(ps,p,c); |
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normalize(ps); |
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} |
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128 |
gwlarson |
3.4 |
/* returns TRUE if ray from origin in direction v intersects plane defined |
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* by normal plane_n, and plane_d. If plane is not parallel- returns |
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* intersection point if r != NULL. If tptr!= NULL returns value of |
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* t, if parallel, returns t=FHUGE |
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*/ |
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gwlarson |
3.1 |
int |
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gwlarson |
3.7 |
intersect_vector_plane(v,peq,tptr,r) |
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FVECT v; |
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FPEQ peq; |
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gwlarson |
3.2 |
double *tptr; |
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gwlarson |
3.1 |
FVECT r; |
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{ |
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gwlarson |
3.4 |
double t,d; |
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gwlarson |
3.1 |
int hit; |
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/* |
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Plane is Ax + By + Cz +D = 0: |
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plane[0] = A,plane[1] = B,plane[2] = C,plane[3] = D |
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*/ |
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/* line is l = p1 + (p2-p1)t, p1=origin */ |
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/* Solve for t: */ |
150 |
gwlarson |
3.7 |
d = -(DOT(FP_N(peq),v)); |
151 |
gwlarson |
3.4 |
if(ZERO(d)) |
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{ |
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t = FHUGE; |
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hit = 0; |
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} |
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else |
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{ |
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gwlarson |
3.7 |
t = FP_D(peq)/d; |
159 |
gwlarson |
3.4 |
if(t < 0 ) |
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hit = 0; |
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else |
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hit = 1; |
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if(r) |
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{ |
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r[0] = v[0]*t; |
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r[1] = v[1]*t; |
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r[2] = v[2]*t; |
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} |
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} |
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gwlarson |
3.2 |
if(tptr) |
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*tptr = t; |
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gwlarson |
3.1 |
return(hit); |
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} |
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int |
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gwlarson |
3.7 |
intersect_ray_plane(orig,dir,peq,pd,r) |
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gwlarson |
3.1 |
FVECT orig,dir; |
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gwlarson |
3.7 |
FPEQ peq; |
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gwlarson |
3.1 |
double *pd; |
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FVECT r; |
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{ |
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double t; |
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int hit; |
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/* |
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Plane is Ax + By + Cz +D = 0: |
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plane[0] = A,plane[1] = B,plane[2] = C,plane[3] = D |
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*/ |
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gwlarson |
3.2 |
/* A(orig[0] + dxt) + B(orig[1] + dyt) + C(orig[2] + dzt) + pd = 0 |
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t = -(DOT(plane_n,orig)+ plane_d)/(DOT(plane_n,d)) |
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line is l = p1 + (p2-p1)t |
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*/ |
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gwlarson |
3.1 |
/* Solve for t: */ |
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gwlarson |
3.7 |
t = -(DOT(FP_N(peq),orig) + FP_D(peq))/(DOT(FP_N(peq),dir)); |
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gwlarson |
3.4 |
if(t < 0) |
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hit = 0; |
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else |
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gwlarson |
3.1 |
hit = 1; |
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gwlarson |
3.4 |
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if(r) |
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VSUM(r,orig,dir,t); |
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if(pd) |
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*pd = t; |
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return(hit); |
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} |
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int |
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gwlarson |
3.7 |
intersect_ray_oplane(orig,dir,n,pd,r) |
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FVECT orig,dir; |
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FVECT n; |
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double *pd; |
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FVECT r; |
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{ |
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double t; |
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int hit; |
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/* |
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Plane is Ax + By + Cz +D = 0: |
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plane[0] = A,plane[1] = B,plane[2] = C,plane[3] = D |
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*/ |
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/* A(orig[0] + dxt) + B(orig[1] + dyt) + C(orig[2] + dzt) + pd = 0 |
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t = -(DOT(plane_n,orig)+ plane_d)/(DOT(plane_n,d)) |
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line is l = p1 + (p2-p1)t |
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*/ |
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/* Solve for t: */ |
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t = -(DOT(n,orig))/(DOT(n,dir)); |
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if(t < 0) |
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hit = 0; |
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else |
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hit = 1; |
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if(r) |
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VSUM(r,orig,dir,t); |
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if(pd) |
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*pd = t; |
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return(hit); |
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} |
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int |
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intersect_edge_plane(e0,e1,peq,pd,r) |
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gwlarson |
3.4 |
FVECT e0,e1; |
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gwlarson |
3.7 |
FPEQ peq; |
245 |
gwlarson |
3.4 |
double *pd; |
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FVECT r; |
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{ |
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double t; |
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int hit; |
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FVECT d; |
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/* |
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Plane is Ax + By + Cz +D = 0: |
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plane[0] = A,plane[1] = B,plane[2] = C,plane[3] = D |
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*/ |
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/* A(orig[0] + dxt) + B(orig[1] + dyt) + C(orig[2] + dzt) + pd = 0 |
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t = -(DOT(plane_n,orig)+ plane_d)/(DOT(plane_n,d)) |
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line is l = p1 + (p2-p1)t |
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*/ |
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/* Solve for t: */ |
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VSUB(d,e1,e0); |
261 |
gwlarson |
3.7 |
t = -(DOT(FP_N(peq),e0) + FP_D(peq))/(DOT(FP_N(peq),d)); |
262 |
gwlarson |
3.4 |
if(t < 0) |
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hit = 0; |
264 |
gwlarson |
3.1 |
else |
265 |
gwlarson |
3.4 |
hit = 1; |
266 |
gwlarson |
3.1 |
|
267 |
gwlarson |
3.4 |
VSUM(r,e0,d,t); |
268 |
gwlarson |
3.1 |
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if(pd) |
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*pd = t; |
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return(hit); |
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} |
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int |
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point_in_cone(p,p0,p1,p2) |
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FVECT p; |
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FVECT p0,p1,p2; |
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{ |
280 |
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FVECT np,x_axis,y_axis; |
281 |
gwlarson |
3.7 |
double d1,d2; |
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FPEQ peq; |
283 |
gwlarson |
3.1 |
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/* Find the equation of the circle defined by the intersection |
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of the cone with the plane defined by p1,p2,p3- project p into |
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that plane and do an in-circle test in the plane |
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*/ |
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289 |
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/* find the equation of the plane defined by p1-p3 */ |
290 |
gwlarson |
3.7 |
tri_plane_equation(p0,p1,p2,&peq,FALSE); |
291 |
gwlarson |
3.1 |
|
292 |
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/* define a coordinate system on the plane: the x axis is in |
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the direction of np2-np1, and the y axis is calculated from |
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n cross x-axis |
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*/ |
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/* Project p onto the plane */ |
297 |
gwlarson |
3.4 |
/* NOTE: check this: does sideness check?*/ |
298 |
gwlarson |
3.7 |
if(!intersect_vector_plane(p,peq,NULL,np)) |
299 |
gwlarson |
3.1 |
return(FALSE); |
300 |
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301 |
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/* create coordinate system on plane: p2-p1 defines the x_axis*/ |
302 |
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VSUB(x_axis,p1,p0); |
303 |
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normalize(x_axis); |
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/* The y axis is */ |
305 |
gwlarson |
3.7 |
VCROSS(y_axis,FP_N(peq),x_axis); |
306 |
gwlarson |
3.1 |
normalize(y_axis); |
307 |
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308 |
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VSUB(p1,p1,p0); |
309 |
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VSUB(p2,p2,p0); |
310 |
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VSUB(np,np,p0); |
311 |
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312 |
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p1[0] = VLEN(p1); |
313 |
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p1[1] = 0; |
314 |
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315 |
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d1 = DOT(p2,x_axis); |
316 |
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d2 = DOT(p2,y_axis); |
317 |
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p2[0] = d1; |
318 |
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p2[1] = d2; |
319 |
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320 |
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d1 = DOT(np,x_axis); |
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d2 = DOT(np,y_axis); |
322 |
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np[0] = d1; |
323 |
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np[1] = d2; |
324 |
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325 |
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/* perform the in-circle test in the new coordinate system */ |
326 |
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return(point_in_circle_thru_origin(np,p1,p2)); |
327 |
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} |
328 |
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329 |
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int |
330 |
gwlarson |
3.4 |
point_set_in_stri(v0,v1,v2,p,n,nset,sides) |
331 |
gwlarson |
3.1 |
FVECT v0,v1,v2,p; |
332 |
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FVECT n[3]; |
333 |
gwlarson |
3.4 |
int *nset; |
334 |
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int sides[3]; |
335 |
gwlarson |
3.1 |
|
336 |
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{ |
337 |
gwlarson |
3.4 |
double d; |
338 |
gwlarson |
3.1 |
/* Find the normal to the triangle ORIGIN:v0:v1 */ |
339 |
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if(!NTH_BIT(*nset,0)) |
340 |
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{ |
341 |
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VCROSS(n[0],v1,v0); |
342 |
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SET_NTH_BIT(*nset,0); |
343 |
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} |
344 |
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/* Test the point for sidedness */ |
345 |
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d = DOT(n[0],p); |
346 |
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347 |
gwlarson |
3.4 |
if(d > 0.0) |
348 |
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{ |
349 |
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sides[0] = GT_OUT; |
350 |
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sides[1] = sides[2] = GT_INVALID; |
351 |
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return(FALSE); |
352 |
gwlarson |
3.1 |
} |
353 |
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else |
354 |
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sides[0] = GT_INTERIOR; |
355 |
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356 |
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/* Test next edge */ |
357 |
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if(!NTH_BIT(*nset,1)) |
358 |
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{ |
359 |
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VCROSS(n[1],v2,v1); |
360 |
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SET_NTH_BIT(*nset,1); |
361 |
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} |
362 |
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/* Test the point for sidedness */ |
363 |
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d = DOT(n[1],p); |
364 |
gwlarson |
3.4 |
if(d > 0.0) |
365 |
gwlarson |
3.1 |
{ |
366 |
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sides[1] = GT_OUT; |
367 |
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sides[2] = GT_INVALID; |
368 |
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return(FALSE); |
369 |
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} |
370 |
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else |
371 |
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sides[1] = GT_INTERIOR; |
372 |
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/* Test next edge */ |
373 |
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if(!NTH_BIT(*nset,2)) |
374 |
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{ |
375 |
|
|
VCROSS(n[2],v0,v2); |
376 |
|
|
SET_NTH_BIT(*nset,2); |
377 |
|
|
} |
378 |
|
|
/* Test the point for sidedness */ |
379 |
|
|
d = DOT(n[2],p); |
380 |
gwlarson |
3.4 |
if(d > 0.0) |
381 |
gwlarson |
3.1 |
{ |
382 |
gwlarson |
3.4 |
sides[2] = GT_OUT; |
383 |
|
|
return(FALSE); |
384 |
gwlarson |
3.1 |
} |
385 |
|
|
else |
386 |
|
|
sides[2] = GT_INTERIOR; |
387 |
|
|
/* Must be interior to the pyramid */ |
388 |
|
|
return(GT_INTERIOR); |
389 |
|
|
} |
390 |
|
|
|
391 |
|
|
|
392 |
|
|
|
393 |
gwlarson |
3.7 |
|
394 |
gwlarson |
3.1 |
int |
395 |
gwlarson |
3.4 |
point_in_stri(v0,v1,v2,p) |
396 |
gwlarson |
3.1 |
FVECT v0,v1,v2,p; |
397 |
|
|
{ |
398 |
gwlarson |
3.4 |
double d; |
399 |
gwlarson |
3.1 |
FVECT n; |
400 |
|
|
|
401 |
|
|
VCROSS(n,v1,v0); |
402 |
|
|
/* Test the point for sidedness */ |
403 |
|
|
d = DOT(n,p); |
404 |
gwlarson |
3.4 |
if(d > 0.0) |
405 |
|
|
return(FALSE); |
406 |
|
|
|
407 |
gwlarson |
3.1 |
/* Test next edge */ |
408 |
|
|
VCROSS(n,v2,v1); |
409 |
|
|
/* Test the point for sidedness */ |
410 |
|
|
d = DOT(n,p); |
411 |
gwlarson |
3.4 |
if(d > 0.0) |
412 |
gwlarson |
3.1 |
return(FALSE); |
413 |
|
|
|
414 |
|
|
/* Test next edge */ |
415 |
|
|
VCROSS(n,v0,v2); |
416 |
|
|
/* Test the point for sidedness */ |
417 |
|
|
d = DOT(n,p); |
418 |
gwlarson |
3.4 |
if(d > 0.0) |
419 |
gwlarson |
3.1 |
return(FALSE); |
420 |
|
|
/* Must be interior to the pyramid */ |
421 |
gwlarson |
3.4 |
return(GT_INTERIOR); |
422 |
gwlarson |
3.1 |
} |
423 |
|
|
|
424 |
|
|
int |
425 |
gwlarson |
3.4 |
vertices_in_stri(t0,t1,t2,p0,p1,p2,nset,n,avg,pt_sides) |
426 |
gwlarson |
3.1 |
FVECT t0,t1,t2,p0,p1,p2; |
427 |
gwlarson |
3.4 |
int *nset; |
428 |
gwlarson |
3.1 |
FVECT n[3]; |
429 |
|
|
FVECT avg; |
430 |
gwlarson |
3.4 |
int pt_sides[3][3]; |
431 |
gwlarson |
3.1 |
|
432 |
|
|
{ |
433 |
gwlarson |
3.4 |
int below_plane[3],test; |
434 |
gwlarson |
3.1 |
|
435 |
|
|
SUM_3VEC3(avg,t0,t1,t2); |
436 |
|
|
*nset = 0; |
437 |
|
|
/* Test vertex v[i] against triangle j*/ |
438 |
|
|
/* Check if v[i] lies below plane defined by avg of 3 vectors |
439 |
|
|
defining triangle |
440 |
|
|
*/ |
441 |
|
|
|
442 |
|
|
/* test point 0 */ |
443 |
gwlarson |
3.4 |
if(DOT(avg,p0) < 0.0) |
444 |
gwlarson |
3.1 |
below_plane[0] = 1; |
445 |
|
|
else |
446 |
gwlarson |
3.4 |
below_plane[0] = 0; |
447 |
gwlarson |
3.1 |
/* Test if b[i] lies in or on triangle a */ |
448 |
gwlarson |
3.4 |
test = point_set_in_stri(t0,t1,t2,p0,n,nset,pt_sides[0]); |
449 |
gwlarson |
3.1 |
/* If pts[i] is interior: done */ |
450 |
|
|
if(!below_plane[0]) |
451 |
|
|
{ |
452 |
|
|
if(test == GT_INTERIOR) |
453 |
|
|
return(TRUE); |
454 |
|
|
} |
455 |
|
|
/* Now test point 1*/ |
456 |
|
|
|
457 |
gwlarson |
3.4 |
if(DOT(avg,p1) < 0.0) |
458 |
gwlarson |
3.1 |
below_plane[1] = 1; |
459 |
|
|
else |
460 |
|
|
below_plane[1]=0; |
461 |
|
|
/* Test if b[i] lies in or on triangle a */ |
462 |
gwlarson |
3.4 |
test = point_set_in_stri(t0,t1,t2,p1,n,nset,pt_sides[1]); |
463 |
gwlarson |
3.1 |
/* If pts[i] is interior: done */ |
464 |
|
|
if(!below_plane[1]) |
465 |
|
|
{ |
466 |
|
|
if(test == GT_INTERIOR) |
467 |
|
|
return(TRUE); |
468 |
|
|
} |
469 |
|
|
|
470 |
|
|
/* Now test point 2 */ |
471 |
gwlarson |
3.4 |
if(DOT(avg,p2) < 0.0) |
472 |
gwlarson |
3.1 |
below_plane[2] = 1; |
473 |
|
|
else |
474 |
gwlarson |
3.4 |
below_plane[2] = 0; |
475 |
gwlarson |
3.1 |
/* Test if b[i] lies in or on triangle a */ |
476 |
gwlarson |
3.4 |
test = point_set_in_stri(t0,t1,t2,p2,n,nset,pt_sides[2]); |
477 |
gwlarson |
3.1 |
|
478 |
|
|
/* If pts[i] is interior: done */ |
479 |
|
|
if(!below_plane[2]) |
480 |
|
|
{ |
481 |
|
|
if(test == GT_INTERIOR) |
482 |
|
|
return(TRUE); |
483 |
|
|
} |
484 |
|
|
|
485 |
|
|
/* If all three points below separating plane: trivial reject */ |
486 |
|
|
if(below_plane[0] && below_plane[1] && below_plane[2]) |
487 |
|
|
return(FALSE); |
488 |
|
|
/* Now check vertices in a against triangle b */ |
489 |
|
|
return(FALSE); |
490 |
|
|
} |
491 |
|
|
|
492 |
|
|
|
493 |
|
|
set_sidedness_tests(t0,t1,t2,p0,p1,p2,test,sides,nset,n) |
494 |
|
|
FVECT t0,t1,t2,p0,p1,p2; |
495 |
gwlarson |
3.4 |
int test[3]; |
496 |
|
|
int sides[3][3]; |
497 |
|
|
int nset; |
498 |
gwlarson |
3.1 |
FVECT n[3]; |
499 |
|
|
{ |
500 |
gwlarson |
3.4 |
int t; |
501 |
gwlarson |
3.1 |
double d; |
502 |
|
|
|
503 |
|
|
|
504 |
|
|
/* p=0 */ |
505 |
|
|
test[0] = 0; |
506 |
|
|
if(sides[0][0] == GT_INVALID) |
507 |
|
|
{ |
508 |
|
|
if(!NTH_BIT(nset,0)) |
509 |
|
|
VCROSS(n[0],t1,t0); |
510 |
|
|
/* Test the point for sidedness */ |
511 |
|
|
d = DOT(n[0],p0); |
512 |
gwlarson |
3.4 |
if(d >= 0.0) |
513 |
gwlarson |
3.1 |
SET_NTH_BIT(test[0],0); |
514 |
|
|
} |
515 |
|
|
else |
516 |
|
|
if(sides[0][0] != GT_INTERIOR) |
517 |
|
|
SET_NTH_BIT(test[0],0); |
518 |
|
|
|
519 |
|
|
if(sides[0][1] == GT_INVALID) |
520 |
|
|
{ |
521 |
|
|
if(!NTH_BIT(nset,1)) |
522 |
|
|
VCROSS(n[1],t2,t1); |
523 |
|
|
/* Test the point for sidedness */ |
524 |
|
|
d = DOT(n[1],p0); |
525 |
gwlarson |
3.4 |
if(d >= 0.0) |
526 |
gwlarson |
3.1 |
SET_NTH_BIT(test[0],1); |
527 |
|
|
} |
528 |
|
|
else |
529 |
|
|
if(sides[0][1] != GT_INTERIOR) |
530 |
|
|
SET_NTH_BIT(test[0],1); |
531 |
|
|
|
532 |
|
|
if(sides[0][2] == GT_INVALID) |
533 |
|
|
{ |
534 |
|
|
if(!NTH_BIT(nset,2)) |
535 |
|
|
VCROSS(n[2],t0,t2); |
536 |
|
|
/* Test the point for sidedness */ |
537 |
|
|
d = DOT(n[2],p0); |
538 |
gwlarson |
3.4 |
if(d >= 0.0) |
539 |
gwlarson |
3.1 |
SET_NTH_BIT(test[0],2); |
540 |
|
|
} |
541 |
|
|
else |
542 |
|
|
if(sides[0][2] != GT_INTERIOR) |
543 |
|
|
SET_NTH_BIT(test[0],2); |
544 |
|
|
|
545 |
|
|
/* p=1 */ |
546 |
|
|
test[1] = 0; |
547 |
|
|
/* t=0*/ |
548 |
|
|
if(sides[1][0] == GT_INVALID) |
549 |
|
|
{ |
550 |
|
|
if(!NTH_BIT(nset,0)) |
551 |
|
|
VCROSS(n[0],t1,t0); |
552 |
|
|
/* Test the point for sidedness */ |
553 |
|
|
d = DOT(n[0],p1); |
554 |
gwlarson |
3.4 |
if(d >= 0.0) |
555 |
gwlarson |
3.1 |
SET_NTH_BIT(test[1],0); |
556 |
|
|
} |
557 |
|
|
else |
558 |
|
|
if(sides[1][0] != GT_INTERIOR) |
559 |
|
|
SET_NTH_BIT(test[1],0); |
560 |
|
|
|
561 |
|
|
/* t=1 */ |
562 |
|
|
if(sides[1][1] == GT_INVALID) |
563 |
|
|
{ |
564 |
|
|
if(!NTH_BIT(nset,1)) |
565 |
|
|
VCROSS(n[1],t2,t1); |
566 |
|
|
/* Test the point for sidedness */ |
567 |
|
|
d = DOT(n[1],p1); |
568 |
gwlarson |
3.4 |
if(d >= 0.0) |
569 |
gwlarson |
3.1 |
SET_NTH_BIT(test[1],1); |
570 |
|
|
} |
571 |
|
|
else |
572 |
|
|
if(sides[1][1] != GT_INTERIOR) |
573 |
|
|
SET_NTH_BIT(test[1],1); |
574 |
|
|
|
575 |
|
|
/* t=2 */ |
576 |
|
|
if(sides[1][2] == GT_INVALID) |
577 |
|
|
{ |
578 |
|
|
if(!NTH_BIT(nset,2)) |
579 |
|
|
VCROSS(n[2],t0,t2); |
580 |
|
|
/* Test the point for sidedness */ |
581 |
|
|
d = DOT(n[2],p1); |
582 |
gwlarson |
3.4 |
if(d >= 0.0) |
583 |
gwlarson |
3.1 |
SET_NTH_BIT(test[1],2); |
584 |
|
|
} |
585 |
|
|
else |
586 |
|
|
if(sides[1][2] != GT_INTERIOR) |
587 |
|
|
SET_NTH_BIT(test[1],2); |
588 |
|
|
|
589 |
|
|
/* p=2 */ |
590 |
|
|
test[2] = 0; |
591 |
|
|
/* t = 0 */ |
592 |
|
|
if(sides[2][0] == GT_INVALID) |
593 |
|
|
{ |
594 |
|
|
if(!NTH_BIT(nset,0)) |
595 |
|
|
VCROSS(n[0],t1,t0); |
596 |
|
|
/* Test the point for sidedness */ |
597 |
|
|
d = DOT(n[0],p2); |
598 |
gwlarson |
3.4 |
if(d >= 0.0) |
599 |
gwlarson |
3.1 |
SET_NTH_BIT(test[2],0); |
600 |
|
|
} |
601 |
|
|
else |
602 |
|
|
if(sides[2][0] != GT_INTERIOR) |
603 |
|
|
SET_NTH_BIT(test[2],0); |
604 |
|
|
/* t=1 */ |
605 |
|
|
if(sides[2][1] == GT_INVALID) |
606 |
|
|
{ |
607 |
|
|
if(!NTH_BIT(nset,1)) |
608 |
|
|
VCROSS(n[1],t2,t1); |
609 |
|
|
/* Test the point for sidedness */ |
610 |
|
|
d = DOT(n[1],p2); |
611 |
gwlarson |
3.4 |
if(d >= 0.0) |
612 |
gwlarson |
3.1 |
SET_NTH_BIT(test[2],1); |
613 |
|
|
} |
614 |
|
|
else |
615 |
|
|
if(sides[2][1] != GT_INTERIOR) |
616 |
|
|
SET_NTH_BIT(test[2],1); |
617 |
|
|
/* t=2 */ |
618 |
|
|
if(sides[2][2] == GT_INVALID) |
619 |
|
|
{ |
620 |
|
|
if(!NTH_BIT(nset,2)) |
621 |
|
|
VCROSS(n[2],t0,t2); |
622 |
|
|
/* Test the point for sidedness */ |
623 |
|
|
d = DOT(n[2],p2); |
624 |
gwlarson |
3.4 |
if(d >= 0.0) |
625 |
gwlarson |
3.1 |
SET_NTH_BIT(test[2],2); |
626 |
|
|
} |
627 |
|
|
else |
628 |
|
|
if(sides[2][2] != GT_INTERIOR) |
629 |
|
|
SET_NTH_BIT(test[2],2); |
630 |
|
|
} |
631 |
|
|
|
632 |
|
|
|
633 |
|
|
int |
634 |
gwlarson |
3.4 |
stri_intersect(a1,a2,a3,b1,b2,b3) |
635 |
gwlarson |
3.1 |
FVECT a1,a2,a3,b1,b2,b3; |
636 |
|
|
{ |
637 |
gwlarson |
3.4 |
int which,test,n_set[2]; |
638 |
|
|
int sides[2][3][3],i,j,inext,jnext; |
639 |
|
|
int tests[2][3]; |
640 |
gwlarson |
3.1 |
FVECT n[2][3],p,avg[2]; |
641 |
|
|
|
642 |
|
|
/* Test the vertices of triangle a against the pyramid formed by triangle |
643 |
|
|
b and the origin. If any vertex of a is interior to triangle b, or |
644 |
|
|
if all 3 vertices of a are ON the edges of b,return TRUE. Remember |
645 |
|
|
the results of the edge normal and sidedness tests for later. |
646 |
|
|
*/ |
647 |
gwlarson |
3.4 |
if(vertices_in_stri(a1,a2,a3,b1,b2,b3,&(n_set[0]),n[0],avg[0],sides[1])) |
648 |
gwlarson |
3.1 |
return(TRUE); |
649 |
|
|
|
650 |
gwlarson |
3.4 |
if(vertices_in_stri(b1,b2,b3,a1,a2,a3,&(n_set[1]),n[1],avg[1],sides[0])) |
651 |
gwlarson |
3.1 |
return(TRUE); |
652 |
|
|
|
653 |
|
|
|
654 |
|
|
set_sidedness_tests(b1,b2,b3,a1,a2,a3,tests[0],sides[0],n_set[1],n[1]); |
655 |
|
|
if(tests[0][0]&tests[0][1]&tests[0][2]) |
656 |
|
|
return(FALSE); |
657 |
|
|
|
658 |
|
|
set_sidedness_tests(a1,a2,a3,b1,b2,b3,tests[1],sides[1],n_set[0],n[0]); |
659 |
|
|
if(tests[1][0]&tests[1][1]&tests[1][2]) |
660 |
|
|
return(FALSE); |
661 |
|
|
|
662 |
|
|
for(j=0; j < 3;j++) |
663 |
|
|
{ |
664 |
|
|
jnext = (j+1)%3; |
665 |
|
|
/* IF edge b doesnt cross any great circles of a, punt */ |
666 |
|
|
if(tests[1][j] & tests[1][jnext]) |
667 |
|
|
continue; |
668 |
|
|
for(i=0;i<3;i++) |
669 |
|
|
{ |
670 |
|
|
inext = (i+1)%3; |
671 |
|
|
/* IF edge a doesnt cross any great circles of b, punt */ |
672 |
|
|
if(tests[0][i] & tests[0][inext]) |
673 |
|
|
continue; |
674 |
|
|
/* Now find the great circles that cross and test */ |
675 |
|
|
if((NTH_BIT(tests[0][i],j)^(NTH_BIT(tests[0][inext],j))) |
676 |
|
|
&& (NTH_BIT(tests[1][j],i)^NTH_BIT(tests[1][jnext],i))) |
677 |
|
|
{ |
678 |
|
|
VCROSS(p,n[0][i],n[1][j]); |
679 |
|
|
|
680 |
|
|
/* If zero cp= done */ |
681 |
|
|
if(ZERO_VEC3(p)) |
682 |
|
|
continue; |
683 |
|
|
/* check above both planes */ |
684 |
|
|
if(DOT(avg[0],p) < 0 || DOT(avg[1],p) < 0) |
685 |
|
|
{ |
686 |
|
|
NEGATE_VEC3(p); |
687 |
|
|
if(DOT(avg[0],p) < 0 || DOT(avg[1],p) < 0) |
688 |
|
|
continue; |
689 |
|
|
} |
690 |
|
|
return(TRUE); |
691 |
|
|
} |
692 |
|
|
} |
693 |
|
|
} |
694 |
|
|
return(FALSE); |
695 |
|
|
} |
696 |
|
|
|
697 |
|
|
int |
698 |
gwlarson |
3.4 |
ray_intersect_tri(orig,dir,v0,v1,v2,pt) |
699 |
gwlarson |
3.1 |
FVECT orig,dir; |
700 |
|
|
FVECT v0,v1,v2; |
701 |
|
|
FVECT pt; |
702 |
|
|
{ |
703 |
gwlarson |
3.7 |
FVECT p0,p1,p2,p; |
704 |
|
|
FPEQ peq; |
705 |
gwlarson |
3.4 |
int type; |
706 |
|
|
|
707 |
gwlarson |
3.5 |
VSUB(p0,v0,orig); |
708 |
|
|
VSUB(p1,v1,orig); |
709 |
|
|
VSUB(p2,v2,orig); |
710 |
|
|
|
711 |
gwlarson |
3.4 |
if(point_in_stri(p0,p1,p2,dir)) |
712 |
gwlarson |
3.1 |
{ |
713 |
|
|
/* Intersect the ray with the triangle plane */ |
714 |
gwlarson |
3.7 |
tri_plane_equation(v0,v1,v2,&peq,FALSE); |
715 |
|
|
return(intersect_ray_plane(orig,dir,peq,NULL,pt)); |
716 |
gwlarson |
3.1 |
} |
717 |
gwlarson |
3.4 |
return(FALSE); |
718 |
gwlarson |
3.1 |
} |
719 |
|
|
|
720 |
|
|
|
721 |
|
|
calculate_view_frustum(vp,hv,vv,horiz,vert,near,far,fnear,ffar) |
722 |
|
|
FVECT vp,hv,vv; |
723 |
|
|
double horiz,vert,near,far; |
724 |
|
|
FVECT fnear[4],ffar[4]; |
725 |
|
|
{ |
726 |
|
|
double height,width; |
727 |
|
|
FVECT t,nhv,nvv,ndv; |
728 |
|
|
double w2,h2; |
729 |
|
|
/* Calculate the x and y dimensions of the near face */ |
730 |
|
|
/* hv and vv are the horizontal and vertical vectors in the |
731 |
|
|
view frame-the magnitude is the dimension of the front frustum |
732 |
|
|
face at z =1 |
733 |
|
|
*/ |
734 |
|
|
VCOPY(nhv,hv); |
735 |
|
|
VCOPY(nvv,vv); |
736 |
|
|
w2 = normalize(nhv); |
737 |
|
|
h2 = normalize(nvv); |
738 |
|
|
/* Use similar triangles to calculate the dimensions at z=near */ |
739 |
|
|
width = near*0.5*w2; |
740 |
|
|
height = near*0.5*h2; |
741 |
|
|
|
742 |
|
|
VCROSS(ndv,nvv,nhv); |
743 |
|
|
/* Calculate the world space points corresponding to the 4 corners |
744 |
|
|
of the front face of the view frustum |
745 |
|
|
*/ |
746 |
|
|
fnear[0][0] = width*nhv[0] + height*nvv[0] + near*ndv[0] + vp[0] ; |
747 |
|
|
fnear[0][1] = width*nhv[1] + height*nvv[1] + near*ndv[1] + vp[1]; |
748 |
|
|
fnear[0][2] = width*nhv[2] + height*nvv[2] + near*ndv[2] + vp[2]; |
749 |
|
|
fnear[1][0] = -width*nhv[0] + height*nvv[0] + near*ndv[0] + vp[0]; |
750 |
|
|
fnear[1][1] = -width*nhv[1] + height*nvv[1] + near*ndv[1] + vp[1]; |
751 |
|
|
fnear[1][2] = -width*nhv[2] + height*nvv[2] + near*ndv[2] + vp[2]; |
752 |
|
|
fnear[2][0] = -width*nhv[0] - height*nvv[0] + near*ndv[0] + vp[0]; |
753 |
|
|
fnear[2][1] = -width*nhv[1] - height*nvv[1] + near*ndv[1] + vp[1]; |
754 |
|
|
fnear[2][2] = -width*nhv[2] - height*nvv[2] + near*ndv[2] + vp[2]; |
755 |
|
|
fnear[3][0] = width*nhv[0] - height*nvv[0] + near*ndv[0] + vp[0]; |
756 |
|
|
fnear[3][1] = width*nhv[1] - height*nvv[1] + near*ndv[1] + vp[1]; |
757 |
|
|
fnear[3][2] = width*nhv[2] - height*nvv[2] + near*ndv[2] + vp[2]; |
758 |
|
|
|
759 |
|
|
/* Now do the far face */ |
760 |
|
|
width = far*0.5*w2; |
761 |
|
|
height = far*0.5*h2; |
762 |
|
|
ffar[0][0] = width*nhv[0] + height*nvv[0] + far*ndv[0] + vp[0] ; |
763 |
|
|
ffar[0][1] = width*nhv[1] + height*nvv[1] + far*ndv[1] + vp[1] ; |
764 |
|
|
ffar[0][2] = width*nhv[2] + height*nvv[2] + far*ndv[2] + vp[2] ; |
765 |
|
|
ffar[1][0] = -width*nhv[0] + height*nvv[0] + far*ndv[0] + vp[0] ; |
766 |
|
|
ffar[1][1] = -width*nhv[1] + height*nvv[1] + far*ndv[1] + vp[1] ; |
767 |
|
|
ffar[1][2] = -width*nhv[2] + height*nvv[2] + far*ndv[2] + vp[2] ; |
768 |
|
|
ffar[2][0] = -width*nhv[0] - height*nvv[0] + far*ndv[0] + vp[0] ; |
769 |
|
|
ffar[2][1] = -width*nhv[1] - height*nvv[1] + far*ndv[1] + vp[1] ; |
770 |
|
|
ffar[2][2] = -width*nhv[2] - height*nvv[2] + far*ndv[2] + vp[2] ; |
771 |
|
|
ffar[3][0] = width*nhv[0] - height*nvv[0] + far*ndv[0] + vp[0] ; |
772 |
|
|
ffar[3][1] = width*nhv[1] - height*nvv[1] + far*ndv[1] + vp[1] ; |
773 |
|
|
ffar[3][2] = width*nhv[2] - height*nvv[2] + far*ndv[2] + vp[2] ; |
774 |
|
|
} |
775 |
|
|
|
776 |
gwlarson |
3.6 |
int |
777 |
|
|
max_index(v,r) |
778 |
|
|
FVECT v; |
779 |
|
|
double *r; |
780 |
|
|
{ |
781 |
|
|
double p[3]; |
782 |
|
|
int i; |
783 |
gwlarson |
3.1 |
|
784 |
gwlarson |
3.6 |
p[0] = fabs(v[0]); |
785 |
|
|
p[1] = fabs(v[1]); |
786 |
|
|
p[2] = fabs(v[2]); |
787 |
|
|
i = (p[0]>=p[1])?((p[0]>=p[2])?0:2):((p[1]>=p[2])?1:2); |
788 |
|
|
if(r) |
789 |
|
|
*r = p[i]; |
790 |
|
|
return(i); |
791 |
|
|
} |
792 |
gwlarson |
3.1 |
|
793 |
gwlarson |
3.6 |
int |
794 |
|
|
closest_point_in_tri(p0,p1,p2,p,p0id,p1id,p2id) |
795 |
|
|
FVECT p0,p1,p2,p; |
796 |
|
|
int p0id,p1id,p2id; |
797 |
|
|
{ |
798 |
|
|
double d,d1; |
799 |
|
|
int i; |
800 |
|
|
|
801 |
|
|
d = DIST_SQ(p,p0); |
802 |
|
|
d1 = DIST_SQ(p,p1); |
803 |
|
|
if(d < d1) |
804 |
|
|
{ |
805 |
|
|
d1 = DIST_SQ(p,p2); |
806 |
|
|
i = (d1 < d)?p2id:p0id; |
807 |
|
|
} |
808 |
|
|
else |
809 |
|
|
{ |
810 |
|
|
d = DIST_SQ(p,p2); |
811 |
|
|
i = (d < d1)? p2id:p1id; |
812 |
|
|
} |
813 |
|
|
return(i); |
814 |
|
|
} |
815 |
gwlarson |
3.1 |
|
816 |
gwlarson |
3.6 |
|
817 |
gwlarson |
3.1 |
int |
818 |
gwlarson |
3.4 |
sedge_intersect(a0,a1,b0,b1) |
819 |
gwlarson |
3.1 |
FVECT a0,a1,b0,b1; |
820 |
|
|
{ |
821 |
|
|
FVECT na,nb,avga,avgb,p; |
822 |
|
|
double d; |
823 |
|
|
int sb0,sb1,sa0,sa1; |
824 |
|
|
|
825 |
|
|
/* First test if edge b straddles great circle of a */ |
826 |
|
|
VCROSS(na,a0,a1); |
827 |
|
|
d = DOT(na,b0); |
828 |
|
|
sb0 = ZERO(d)?0:(d<0)? -1: 1; |
829 |
|
|
d = DOT(na,b1); |
830 |
|
|
sb1 = ZERO(d)?0:(d<0)? -1: 1; |
831 |
|
|
/* edge b entirely on one side of great circle a: edges cannot intersect*/ |
832 |
|
|
if(sb0*sb1 > 0) |
833 |
|
|
return(FALSE); |
834 |
|
|
/* test if edge a straddles great circle of b */ |
835 |
|
|
VCROSS(nb,b0,b1); |
836 |
|
|
d = DOT(nb,a0); |
837 |
|
|
sa0 = ZERO(d)?0:(d<0)? -1: 1; |
838 |
|
|
d = DOT(nb,a1); |
839 |
|
|
sa1 = ZERO(d)?0:(d<0)? -1: 1; |
840 |
|
|
/* edge a entirely on one side of great circle b: edges cannot intersect*/ |
841 |
|
|
if(sa0*sa1 > 0) |
842 |
|
|
return(FALSE); |
843 |
|
|
|
844 |
|
|
/* Find one of intersection points of the great circles */ |
845 |
|
|
VCROSS(p,na,nb); |
846 |
|
|
/* If they lie on same great circle: call an intersection */ |
847 |
|
|
if(ZERO_VEC3(p)) |
848 |
|
|
return(TRUE); |
849 |
|
|
|
850 |
|
|
VADD(avga,a0,a1); |
851 |
|
|
VADD(avgb,b0,b1); |
852 |
|
|
if(DOT(avga,p) < 0 || DOT(avgb,p) < 0) |
853 |
|
|
{ |
854 |
|
|
NEGATE_VEC3(p); |
855 |
|
|
if(DOT(avga,p) < 0 || DOT(avgb,p) < 0) |
856 |
|
|
return(FALSE); |
857 |
|
|
} |
858 |
|
|
if((!sb0 || !sb1) && (!sa0 || !sa1)) |
859 |
|
|
return(FALSE); |
860 |
|
|
return(TRUE); |
861 |
|
|
} |
862 |
gwlarson |
3.2 |
|
863 |
|
|
|
864 |
|
|
|
865 |
|
|
/* Find the normalized barycentric coordinates of p relative to |
866 |
|
|
* triangle v0,v1,v2. Return result in coord |
867 |
|
|
*/ |
868 |
|
|
bary2d(x1,y1,x2,y2,x3,y3,px,py,coord) |
869 |
|
|
double x1,y1,x2,y2,x3,y3; |
870 |
|
|
double px,py; |
871 |
|
|
double coord[3]; |
872 |
|
|
{ |
873 |
|
|
double a; |
874 |
|
|
|
875 |
|
|
a = (x2 - x1) * (y3 - y1) - (x3 - x1) * (y2 - y1); |
876 |
|
|
coord[0] = ((x2 - px) * (y3 - py) - (x3 - px) * (y2 - py)) / a; |
877 |
|
|
coord[1] = ((x3 - px) * (y1 - py) - (x1 - px) * (y3 - py)) / a; |
878 |
gwlarson |
3.6 |
coord[2] = ((x1 - px) * (y2 - py) - (x2 - px) * (y1 - py)) / a; |
879 |
gwlarson |
3.2 |
|
880 |
|
|
} |
881 |
|
|
|
882 |
gwlarson |
3.4 |
bary_ith_child(coord,i) |
883 |
|
|
double coord[3]; |
884 |
|
|
int i; |
885 |
|
|
{ |
886 |
|
|
|
887 |
|
|
switch(i){ |
888 |
|
|
case 0: |
889 |
|
|
/* update bary for child */ |
890 |
|
|
coord[0] = 2.0*coord[0]- 1.0; |
891 |
|
|
coord[1] *= 2.0; |
892 |
|
|
coord[2] *= 2.0; |
893 |
|
|
break; |
894 |
|
|
case 1: |
895 |
|
|
coord[0] *= 2.0; |
896 |
|
|
coord[1] = 2.0*coord[1]- 1.0; |
897 |
|
|
coord[2] *= 2.0; |
898 |
|
|
break; |
899 |
|
|
case 2: |
900 |
|
|
coord[0] *= 2.0; |
901 |
|
|
coord[1] *= 2.0; |
902 |
|
|
coord[2] = 2.0*coord[2]- 1.0; |
903 |
|
|
break; |
904 |
|
|
case 3: |
905 |
|
|
coord[0] = 1.0 - 2.0*coord[0]; |
906 |
|
|
coord[1] = 1.0 - 2.0*coord[1]; |
907 |
|
|
coord[2] = 1.0 - 2.0*coord[2]; |
908 |
|
|
break; |
909 |
|
|
#ifdef DEBUG |
910 |
|
|
default: |
911 |
|
|
eputs("bary_ith_child():Invalid child\n"); |
912 |
|
|
break; |
913 |
|
|
#endif |
914 |
|
|
} |
915 |
|
|
} |
916 |
|
|
|
917 |
|
|
|
918 |
gwlarson |
3.2 |
int |
919 |
gwlarson |
3.4 |
bary_child(coord) |
920 |
gwlarson |
3.2 |
double coord[3]; |
921 |
|
|
{ |
922 |
|
|
int i; |
923 |
|
|
|
924 |
|
|
if(coord[0] > 0.5) |
925 |
|
|
{ |
926 |
|
|
/* update bary for child */ |
927 |
|
|
coord[0] = 2.0*coord[0]- 1.0; |
928 |
|
|
coord[1] *= 2.0; |
929 |
|
|
coord[2] *= 2.0; |
930 |
|
|
return(0); |
931 |
|
|
} |
932 |
|
|
else |
933 |
|
|
if(coord[1] > 0.5) |
934 |
|
|
{ |
935 |
|
|
coord[0] *= 2.0; |
936 |
|
|
coord[1] = 2.0*coord[1]- 1.0; |
937 |
|
|
coord[2] *= 2.0; |
938 |
|
|
return(1); |
939 |
|
|
} |
940 |
|
|
else |
941 |
|
|
if(coord[2] > 0.5) |
942 |
|
|
{ |
943 |
|
|
coord[0] *= 2.0; |
944 |
|
|
coord[1] *= 2.0; |
945 |
|
|
coord[2] = 2.0*coord[2]- 1.0; |
946 |
|
|
return(2); |
947 |
|
|
} |
948 |
|
|
else |
949 |
|
|
{ |
950 |
|
|
coord[0] = 1.0 - 2.0*coord[0]; |
951 |
|
|
coord[1] = 1.0 - 2.0*coord[1]; |
952 |
|
|
coord[2] = 1.0 - 2.0*coord[2]; |
953 |
|
|
return(3); |
954 |
|
|
} |
955 |
|
|
} |
956 |
|
|
|
957 |
gwlarson |
3.4 |
/* Coord was the ith child of the parent: set the coordinate |
958 |
|
|
relative to the parent |
959 |
|
|
*/ |
960 |
|
|
bary_parent(coord,i) |
961 |
|
|
double coord[3]; |
962 |
|
|
int i; |
963 |
|
|
{ |
964 |
|
|
|
965 |
|
|
switch(i) { |
966 |
|
|
case 0: |
967 |
|
|
/* update bary for child */ |
968 |
|
|
coord[0] = coord[0]*0.5 + 0.5; |
969 |
|
|
coord[1] *= 0.5; |
970 |
|
|
coord[2] *= 0.5; |
971 |
|
|
break; |
972 |
|
|
case 1: |
973 |
|
|
coord[0] *= 0.5; |
974 |
|
|
coord[1] = coord[1]*0.5 + 0.5; |
975 |
|
|
coord[2] *= 0.5; |
976 |
|
|
break; |
977 |
|
|
|
978 |
|
|
case 2: |
979 |
|
|
coord[0] *= 0.5; |
980 |
|
|
coord[1] *= 0.5; |
981 |
|
|
coord[2] = coord[2]*0.5 + 0.5; |
982 |
|
|
break; |
983 |
|
|
|
984 |
|
|
case 3: |
985 |
|
|
coord[0] = 0.5 - 0.5*coord[0]; |
986 |
|
|
coord[1] = 0.5 - 0.5*coord[1]; |
987 |
|
|
coord[2] = 0.5 - 0.5*coord[2]; |
988 |
|
|
break; |
989 |
|
|
#ifdef DEBUG |
990 |
|
|
default: |
991 |
|
|
eputs("bary_parent():Invalid child\n"); |
992 |
|
|
break; |
993 |
|
|
#endif |
994 |
|
|
} |
995 |
|
|
} |
996 |
|
|
|
997 |
|
|
bary_from_child(coord,child,next) |
998 |
|
|
double coord[3]; |
999 |
|
|
int child,next; |
1000 |
|
|
{ |
1001 |
|
|
#ifdef DEBUG |
1002 |
|
|
if(child <0 || child > 3) |
1003 |
|
|
{ |
1004 |
|
|
eputs("bary_from_child():Invalid child\n"); |
1005 |
|
|
return; |
1006 |
|
|
} |
1007 |
|
|
if(next <0 || next > 3) |
1008 |
|
|
{ |
1009 |
|
|
eputs("bary_from_child():Invalid next\n"); |
1010 |
|
|
return; |
1011 |
|
|
} |
1012 |
|
|
#endif |
1013 |
|
|
if(next == child) |
1014 |
|
|
return; |
1015 |
|
|
|
1016 |
|
|
switch(child){ |
1017 |
|
|
case 0: |
1018 |
|
|
switch(next){ |
1019 |
|
|
case 1: |
1020 |
|
|
coord[0] += 1.0; |
1021 |
|
|
coord[1] -= 1.0; |
1022 |
|
|
break; |
1023 |
|
|
case 2: |
1024 |
|
|
coord[0] += 1.0; |
1025 |
|
|
coord[2] -= 1.0; |
1026 |
|
|
break; |
1027 |
|
|
case 3: |
1028 |
|
|
coord[0] *= -1.0; |
1029 |
|
|
coord[1] = 1 - coord[1]; |
1030 |
|
|
coord[2] = 1 - coord[2]; |
1031 |
|
|
break; |
1032 |
|
|
|
1033 |
|
|
} |
1034 |
|
|
break; |
1035 |
|
|
case 1: |
1036 |
|
|
switch(next){ |
1037 |
|
|
case 0: |
1038 |
|
|
coord[0] -= 1.0; |
1039 |
|
|
coord[1] += 1.0; |
1040 |
|
|
break; |
1041 |
|
|
case 2: |
1042 |
|
|
coord[1] += 1.0; |
1043 |
|
|
coord[2] -= 1.0; |
1044 |
|
|
break; |
1045 |
|
|
case 3: |
1046 |
|
|
coord[0] = 1 - coord[0]; |
1047 |
|
|
coord[1] *= -1.0; |
1048 |
|
|
coord[2] = 1 - coord[2]; |
1049 |
|
|
break; |
1050 |
|
|
} |
1051 |
|
|
break; |
1052 |
|
|
case 2: |
1053 |
|
|
switch(next){ |
1054 |
|
|
case 0: |
1055 |
|
|
coord[0] -= 1.0; |
1056 |
|
|
coord[2] += 1.0; |
1057 |
|
|
break; |
1058 |
|
|
case 1: |
1059 |
|
|
coord[1] -= 1.0; |
1060 |
|
|
coord[2] += 1.0; |
1061 |
|
|
break; |
1062 |
|
|
case 3: |
1063 |
|
|
coord[0] = 1 - coord[0]; |
1064 |
|
|
coord[1] = 1 - coord[1]; |
1065 |
|
|
coord[2] *= -1.0; |
1066 |
|
|
break; |
1067 |
|
|
} |
1068 |
|
|
break; |
1069 |
|
|
case 3: |
1070 |
|
|
switch(next){ |
1071 |
|
|
case 0: |
1072 |
|
|
coord[0] *= -1.0; |
1073 |
|
|
coord[1] = 1 - coord[1]; |
1074 |
|
|
coord[2] = 1 - coord[2]; |
1075 |
|
|
break; |
1076 |
|
|
case 1: |
1077 |
|
|
coord[0] = 1 - coord[0]; |
1078 |
|
|
coord[1] *= -1.0; |
1079 |
|
|
coord[2] = 1 - coord[2]; |
1080 |
|
|
break; |
1081 |
|
|
case 2: |
1082 |
|
|
coord[0] = 1 - coord[0]; |
1083 |
|
|
coord[1] = 1 - coord[1]; |
1084 |
|
|
coord[2] *= -1.0; |
1085 |
|
|
break; |
1086 |
|
|
} |
1087 |
|
|
break; |
1088 |
|
|
} |
1089 |
|
|
} |
1090 |
|
|
|
1091 |
gwlarson |
3.6 |
|
1092 |
|
|
baryi_parent(coord,i) |
1093 |
|
|
BCOORD coord[3]; |
1094 |
|
|
int i; |
1095 |
gwlarson |
3.2 |
{ |
1096 |
|
|
|
1097 |
gwlarson |
3.6 |
switch(i) { |
1098 |
|
|
case 0: |
1099 |
|
|
/* update bary for child */ |
1100 |
|
|
coord[0] = (coord[0] >> 1) + MAXBCOORD2; |
1101 |
|
|
coord[1] >>= 1; |
1102 |
|
|
coord[2] >>= 1; |
1103 |
|
|
break; |
1104 |
|
|
case 1: |
1105 |
|
|
coord[0] >>= 1; |
1106 |
|
|
coord[1] = (coord[1] >> 1) + MAXBCOORD2; |
1107 |
|
|
coord[2] >>= 1; |
1108 |
|
|
break; |
1109 |
|
|
|
1110 |
|
|
case 2: |
1111 |
|
|
coord[0] >>= 1; |
1112 |
|
|
coord[1] >>= 1; |
1113 |
|
|
coord[2] = (coord[2] >> 1) + MAXBCOORD2; |
1114 |
|
|
break; |
1115 |
|
|
|
1116 |
|
|
case 3: |
1117 |
|
|
coord[0] = MAXBCOORD2 - (coord[0] >> 1); |
1118 |
|
|
coord[1] = MAXBCOORD2 - (coord[1] >> 1); |
1119 |
|
|
coord[2] = MAXBCOORD2 - (coord[2] >> 1); |
1120 |
|
|
break; |
1121 |
|
|
#ifdef DEBUG |
1122 |
|
|
default: |
1123 |
|
|
eputs("baryi_parent():Invalid child\n"); |
1124 |
|
|
break; |
1125 |
|
|
#endif |
1126 |
|
|
} |
1127 |
gwlarson |
3.2 |
} |
1128 |
|
|
|
1129 |
gwlarson |
3.6 |
baryi_from_child(coord,child,next) |
1130 |
|
|
BCOORD coord[3]; |
1131 |
|
|
int child,next; |
1132 |
|
|
{ |
1133 |
|
|
#ifdef DEBUG |
1134 |
|
|
if(child <0 || child > 3) |
1135 |
|
|
{ |
1136 |
|
|
eputs("baryi_from_child():Invalid child\n"); |
1137 |
|
|
return; |
1138 |
|
|
} |
1139 |
|
|
if(next <0 || next > 3) |
1140 |
|
|
{ |
1141 |
|
|
eputs("baryi_from_child():Invalid next\n"); |
1142 |
|
|
return; |
1143 |
|
|
} |
1144 |
|
|
#endif |
1145 |
|
|
if(next == child) |
1146 |
|
|
return; |
1147 |
|
|
|
1148 |
|
|
switch(child){ |
1149 |
|
|
case 0: |
1150 |
|
|
coord[0] = 0; |
1151 |
|
|
coord[1] = MAXBCOORD - coord[1]; |
1152 |
|
|
coord[2] = MAXBCOORD - coord[2]; |
1153 |
|
|
break; |
1154 |
|
|
case 1: |
1155 |
|
|
coord[0] = MAXBCOORD - coord[0]; |
1156 |
|
|
coord[1] = 0; |
1157 |
|
|
coord[2] = MAXBCOORD - coord[2]; |
1158 |
|
|
break; |
1159 |
|
|
case 2: |
1160 |
|
|
coord[0] = MAXBCOORD - coord[0]; |
1161 |
|
|
coord[1] = MAXBCOORD - coord[1]; |
1162 |
|
|
coord[2] = 0; |
1163 |
|
|
break; |
1164 |
|
|
case 3: |
1165 |
|
|
switch(next){ |
1166 |
|
|
case 0: |
1167 |
|
|
coord[0] = 0; |
1168 |
|
|
coord[1] = MAXBCOORD - coord[1]; |
1169 |
|
|
coord[2] = MAXBCOORD - coord[2]; |
1170 |
|
|
break; |
1171 |
|
|
case 1: |
1172 |
|
|
coord[0] = MAXBCOORD - coord[0]; |
1173 |
|
|
coord[1] = 0; |
1174 |
|
|
coord[2] = MAXBCOORD - coord[2]; |
1175 |
|
|
break; |
1176 |
|
|
case 2: |
1177 |
|
|
coord[0] = MAXBCOORD - coord[0]; |
1178 |
|
|
coord[1] = MAXBCOORD - coord[1]; |
1179 |
|
|
coord[2] = 0; |
1180 |
|
|
break; |
1181 |
|
|
} |
1182 |
|
|
break; |
1183 |
|
|
} |
1184 |
|
|
} |
1185 |
|
|
|
1186 |
gwlarson |
3.4 |
int |
1187 |
gwlarson |
3.6 |
baryi_child(coord) |
1188 |
|
|
BCOORD coord[3]; |
1189 |
gwlarson |
3.4 |
{ |
1190 |
gwlarson |
3.6 |
int i; |
1191 |
|
|
|
1192 |
|
|
if(coord[0] > MAXBCOORD2) |
1193 |
|
|
{ |
1194 |
|
|
/* update bary for child */ |
1195 |
|
|
coord[0] = (coord[0]<< 1) - MAXBCOORD; |
1196 |
|
|
coord[1] <<= 1; |
1197 |
|
|
coord[2] <<= 1; |
1198 |
|
|
return(0); |
1199 |
|
|
} |
1200 |
|
|
else |
1201 |
|
|
if(coord[1] > MAXBCOORD2) |
1202 |
gwlarson |
3.4 |
{ |
1203 |
gwlarson |
3.6 |
coord[0] <<= 1; |
1204 |
|
|
coord[1] = (coord[1] << 1) - MAXBCOORD; |
1205 |
|
|
coord[2] <<= 1; |
1206 |
|
|
return(1); |
1207 |
gwlarson |
3.4 |
} |
1208 |
|
|
else |
1209 |
gwlarson |
3.6 |
if(coord[2] > MAXBCOORD2) |
1210 |
|
|
{ |
1211 |
|
|
coord[0] <<= 1; |
1212 |
|
|
coord[1] <<= 1; |
1213 |
|
|
coord[2] = (coord[2] << 1) - MAXBCOORD; |
1214 |
|
|
return(2); |
1215 |
|
|
} |
1216 |
|
|
else |
1217 |
|
|
{ |
1218 |
|
|
coord[0] = MAXBCOORD - (coord[0] << 1); |
1219 |
|
|
coord[1] = MAXBCOORD - (coord[1] << 1); |
1220 |
|
|
coord[2] = MAXBCOORD - (coord[2] << 1); |
1221 |
|
|
return(3); |
1222 |
|
|
} |
1223 |
|
|
} |
1224 |
|
|
|
1225 |
gwlarson |
3.7 |
int |
1226 |
|
|
baryi_nth_child(coord,i) |
1227 |
|
|
BCOORD coord[3]; |
1228 |
|
|
int i; |
1229 |
|
|
{ |
1230 |
|
|
|
1231 |
|
|
switch(i){ |
1232 |
|
|
case 0: |
1233 |
|
|
/* update bary for child */ |
1234 |
|
|
coord[0] = (coord[0]<< 1) - MAXBCOORD; |
1235 |
|
|
coord[1] <<= 1; |
1236 |
|
|
coord[2] <<= 1; |
1237 |
|
|
break; |
1238 |
|
|
case 1: |
1239 |
|
|
coord[0] <<= 1; |
1240 |
|
|
coord[1] = (coord[1] << 1) - MAXBCOORD; |
1241 |
|
|
coord[2] <<= 1; |
1242 |
|
|
break; |
1243 |
|
|
case 2: |
1244 |
|
|
coord[0] <<= 1; |
1245 |
|
|
coord[1] <<= 1; |
1246 |
|
|
coord[2] = (coord[2] << 1) - MAXBCOORD; |
1247 |
|
|
break; |
1248 |
|
|
case 3: |
1249 |
|
|
coord[0] = MAXBCOORD - (coord[0] << 1); |
1250 |
|
|
coord[1] = MAXBCOORD - (coord[1] << 1); |
1251 |
|
|
coord[2] = MAXBCOORD - (coord[2] << 1); |
1252 |
|
|
break; |
1253 |
|
|
} |
1254 |
|
|
} |
1255 |
|
|
|
1256 |
|
|
|
1257 |
|
|
baryi_children(coord,i,in_tri,rcoord,rin_tri) |
1258 |
|
|
BCOORD coord[3][3]; |
1259 |
|
|
int i; |
1260 |
|
|
int in_tri[3]; |
1261 |
|
|
BCOORD rcoord[3][3]; |
1262 |
|
|
int rin_tri[3]; |
1263 |
|
|
{ |
1264 |
|
|
int j; |
1265 |
|
|
|
1266 |
|
|
for(j=0; j< 3; j++) |
1267 |
|
|
{ |
1268 |
|
|
if(!in_tri[j]) |
1269 |
|
|
{ |
1270 |
|
|
rin_tri[j]=0; |
1271 |
|
|
continue; |
1272 |
|
|
} |
1273 |
|
|
|
1274 |
|
|
if(i != 3) |
1275 |
|
|
{ |
1276 |
|
|
if(coord[j][i] < MAXBCOORD2) |
1277 |
|
|
{ |
1278 |
|
|
rin_tri[j] = 0; |
1279 |
|
|
continue; |
1280 |
|
|
} |
1281 |
|
|
} |
1282 |
|
|
else |
1283 |
|
|
if( !(coord[j][0] <= MAXBCOORD2 && coord[j][1] <= MAXBCOORD2 && |
1284 |
|
|
coord[j][2] <= MAXBCOORD2)) |
1285 |
|
|
{ |
1286 |
|
|
rin_tri[j] = 0; |
1287 |
|
|
continue; |
1288 |
|
|
} |
1289 |
|
|
|
1290 |
|
|
rin_tri[j]=1; |
1291 |
|
|
VCOPY(rcoord[j],coord[j]); |
1292 |
|
|
baryi_nth_child(rcoord[j],i); |
1293 |
|
|
} |
1294 |
|
|
|
1295 |
|
|
} |
1296 |
|
|
|
1297 |
|
|
convert_dtol(b,bi) |
1298 |
|
|
double b[3]; |
1299 |
gwlarson |
3.6 |
BCOORD bi[3]; |
1300 |
|
|
{ |
1301 |
gwlarson |
3.7 |
int i; |
1302 |
gwlarson |
3.6 |
|
1303 |
|
|
for(i=0; i < 2;i++) |
1304 |
|
|
{ |
1305 |
gwlarson |
3.7 |
|
1306 |
gwlarson |
3.6 |
if(b[i] <= 0.0) |
1307 |
gwlarson |
3.4 |
{ |
1308 |
gwlarson |
3.7 |
#ifdef EXTRA_DEBUG |
1309 |
|
|
if(b[i] < 0.0) |
1310 |
|
|
printf("under %f\n",b[i]); |
1311 |
|
|
#endif |
1312 |
gwlarson |
3.6 |
bi[i]= 0; |
1313 |
gwlarson |
3.4 |
} |
1314 |
gwlarson |
3.6 |
else |
1315 |
|
|
if(b[i] >= 1.0) |
1316 |
|
|
{ |
1317 |
gwlarson |
3.7 |
#ifdef EXTRA_DEBUG |
1318 |
|
|
if(b[i] > 1.0) |
1319 |
|
|
printf("over %f\n",b[i]); |
1320 |
|
|
#endif |
1321 |
gwlarson |
3.6 |
bi[i]= MAXBCOORD; |
1322 |
|
|
} |
1323 |
|
|
else |
1324 |
|
|
bi[i] = (BCOORD)(b[i]*MAXBCOORD); |
1325 |
|
|
} |
1326 |
gwlarson |
3.7 |
bi[2] = bi[0] + bi[1]; |
1327 |
|
|
if(bi[2] > MAXBCOORD) |
1328 |
gwlarson |
3.6 |
{ |
1329 |
gwlarson |
3.7 |
#ifdef EXTRA_DEBUG |
1330 |
|
|
printf("sum over %f\n",b[0]+b[1]); |
1331 |
|
|
#endif |
1332 |
gwlarson |
3.6 |
bi[2] = 0; |
1333 |
|
|
bi[1] = MAXBCOORD - bi[0]; |
1334 |
|
|
} |
1335 |
gwlarson |
3.7 |
else |
1336 |
|
|
bi[2] = MAXBCOORD - bi[2]; |
1337 |
|
|
|
1338 |
|
|
} |
1339 |
|
|
|
1340 |
|
|
/* convert barycentric coordinate b in [-eps,1+eps] to [0,MAXLONG], |
1341 |
|
|
dir unbounded to [-MAXLONG,MAXLONG] |
1342 |
|
|
*/ |
1343 |
|
|
bary_dtol(b,db,bi,dbi,t,w) |
1344 |
|
|
double b[3],db[3][3]; |
1345 |
|
|
BCOORD bi[3]; |
1346 |
|
|
BDIR dbi[3][3]; |
1347 |
|
|
TINT t[3]; |
1348 |
|
|
int w; |
1349 |
|
|
{ |
1350 |
|
|
int i,id,j,k; |
1351 |
|
|
double d; |
1352 |
|
|
|
1353 |
|
|
convert_dtol(b,bi); |
1354 |
|
|
|
1355 |
|
|
for(j=w; j< 3; j++) |
1356 |
|
|
{ |
1357 |
|
|
if(t[j] == HUGET) |
1358 |
|
|
{ |
1359 |
|
|
max_index(db[j],&d); |
1360 |
|
|
for(i=0; i< 3; i++) |
1361 |
|
|
dbi[j][i] = (BDIR)(db[j][i]/d*MAXBDIR); |
1362 |
|
|
break; |
1363 |
|
|
} |
1364 |
|
|
else |
1365 |
|
|
{ |
1366 |
|
|
for(i=0; i< 3; i++) |
1367 |
|
|
dbi[j][i] = (BDIR)(db[j][i]*MAXBDIR); |
1368 |
|
|
} |
1369 |
|
|
} |
1370 |
|
|
} |
1371 |
|
|
|
1372 |
|
|
|
1373 |
|
|
/* convert barycentric coordinate b in [-eps,1+eps] to [0,MAXLONG], |
1374 |
|
|
dir unbounded to [-MAXLONG,MAXLONG] |
1375 |
|
|
*/ |
1376 |
|
|
bary_dtol_new(b,db,bi,boi,dbi,t) |
1377 |
|
|
double b[4][3],db[3][3]; |
1378 |
|
|
BCOORD bi[3],boi[3][3]; |
1379 |
|
|
BDIR dbi[3][3]; |
1380 |
|
|
int t[3]; |
1381 |
|
|
{ |
1382 |
|
|
int i,id,j,k; |
1383 |
|
|
double d; |
1384 |
|
|
|
1385 |
|
|
convert_dtol(b[3],bi); |
1386 |
|
|
|
1387 |
|
|
for(j=0; j<3;j++) |
1388 |
|
|
{ |
1389 |
|
|
if(t[j] != 1) |
1390 |
|
|
continue; |
1391 |
|
|
convert_dtol(b[j],boi[j]); |
1392 |
|
|
} |
1393 |
gwlarson |
3.6 |
for(j=0; j< 3; j++) |
1394 |
|
|
{ |
1395 |
gwlarson |
3.7 |
k = (j+1)%3; |
1396 |
|
|
if(t[k]==0) |
1397 |
gwlarson |
3.6 |
continue; |
1398 |
gwlarson |
3.7 |
if(t[k] == -1) |
1399 |
|
|
{ |
1400 |
|
|
max_index(db[j],&d); |
1401 |
|
|
for(i=0; i< 3; i++) |
1402 |
|
|
dbi[j][i] = (BDIR)(db[j][i]/d*MAXBDIR); |
1403 |
|
|
t[k] = 0; |
1404 |
|
|
} |
1405 |
|
|
else |
1406 |
|
|
if(t[j] != 1) |
1407 |
|
|
for(i=0; i< 3; i++) |
1408 |
gwlarson |
3.6 |
dbi[j][i] = (BDIR)(db[j][i]*MAXBDIR); |
1409 |
gwlarson |
3.7 |
else |
1410 |
|
|
for(i=0; i< 3; i++) |
1411 |
|
|
dbi[j][i] = boi[k][i] - boi[j][i]; |
1412 |
|
|
|
1413 |
gwlarson |
3.6 |
} |
1414 |
gwlarson |
3.4 |
} |
1415 |
gwlarson |
3.7 |
|
1416 |
|
|
|
1417 |
|
|
bary_dtolb(b,bi,in_tri) |
1418 |
|
|
double b[3][3]; |
1419 |
|
|
BCOORD bi[3][3]; |
1420 |
|
|
int in_tri[3]; |
1421 |
|
|
{ |
1422 |
|
|
int i,j; |
1423 |
|
|
|
1424 |
|
|
for(j=0; j<3;j++) |
1425 |
|
|
{ |
1426 |
|
|
if(!in_tri[j]) |
1427 |
|
|
continue; |
1428 |
|
|
for(i=0; i < 2;i++) |
1429 |
|
|
{ |
1430 |
|
|
if(b[j][i] <= 0.0) |
1431 |
|
|
{ |
1432 |
|
|
bi[j][i]= 0; |
1433 |
|
|
} |
1434 |
|
|
else |
1435 |
|
|
if(b[j][i] >= 1.0) |
1436 |
|
|
{ |
1437 |
|
|
bi[j][i]= MAXBCOORD; |
1438 |
|
|
} |
1439 |
|
|
else |
1440 |
|
|
bi[j][i] = (BCOORD)(b[j][i]*MAXBCOORD); |
1441 |
|
|
} |
1442 |
|
|
bi[j][2] = MAXBCOORD - bi[j][0] - bi[j][1]; |
1443 |
|
|
if(bi[j][2] < 0) |
1444 |
|
|
{ |
1445 |
|
|
bi[j][2] = 0; |
1446 |
|
|
bi[j][1] = MAXBCOORD - bi[j][0]; |
1447 |
|
|
} |
1448 |
|
|
} |
1449 |
|
|
} |
1450 |
|
|
|
1451 |
|
|
|
1452 |
gwlarson |
3.6 |
|
1453 |
|
|
|
1454 |
gwlarson |
3.2 |
|
1455 |
|
|
|
1456 |
|
|
|
1457 |
|
|
|
1458 |
|
|
|
1459 |
|
|
|
1460 |
gwlarson |
3.1 |
|