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* 8/14/85 |
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*/ |
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#include <math.h> |
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#include "fvect.h" |
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– |
#define FTINY 1e-7 |
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– |
|
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double |
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fdot(v1, v2) /* return the dot product of two vectors */ |
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register FVECT v1, v2; |
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} |
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+ |
fvsum(vres, v0, v1, f) /* vres = v0 + f*v1 */ |
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FVECT vres, v0, v1; |
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double f; |
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{ |
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vres[0] = v0[0] + f*v1[0]; |
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vres[1] = v0[1] + f*v1[1]; |
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vres[2] = v0[2] + f*v1[2]; |
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} |
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|
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|
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double |
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normalize(v) /* normalize a vector, return old magnitude */ |
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register FVECT v; |
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len = DOT(v, v); |
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< |
if (len <= FTINY*FTINY) |
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> |
if (len <= 0.0) |
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return(0.0); |
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|
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< |
if (len >= (1.0-FTINY)*(1.0-FTINY) && |
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< |
len <= (1.0+FTINY)*(1.0+FTINY)) |
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< |
return(1.0); |
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> |
if (len <= 1.0+FTINY && len >= 1.0-FTINY) |
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> |
len = 0.5 + 0.5*len; /* first order approximation */ |
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> |
else |
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> |
len = sqrt(len); |
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|
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– |
len = sqrt(len); |
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v[0] /= len; |
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v[1] /= len; |
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v[2] /= len; |
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+ |
|
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return(len); |
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+ |
} |
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+ |
|
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+ |
|
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+ |
spinvector(vres, vorig, vnorm, theta) /* rotate vector around normal */ |
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+ |
FVECT vres, vorig, vnorm; |
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+ |
double theta; |
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+ |
{ |
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+ |
double sint, cost, normprod; |
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+ |
FVECT vperp; |
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+ |
register int i; |
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+ |
|
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+ |
if (theta == 0.0) { |
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+ |
if (vres != vorig) |
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+ |
VCOPY(vres, vorig); |
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+ |
return; |
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+ |
} |
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+ |
cost = cos(theta); |
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+ |
sint = sin(theta); |
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+ |
normprod = DOT(vorig, vnorm)*(1.-cost); |
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+ |
fcross(vperp, vnorm, vorig); |
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+ |
for (i = 0; i < 3; i++) |
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+ |
vres[i] = vorig[i]*cost + vnorm[i]*normprod + vperp[i]*sint; |
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} |