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#ifndef lint |
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static const char RCSid[] = "$Id: fprism.c,v 2.5 2003/04/23 00:52:34 greg Exp $"; |
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#endif |
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/* Ce programme calcule les directions et les energies des rayons lumineux |
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resultant du passage d'un rayon au travers d'un vitrage prismatique |
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|
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1991, LESO - EPFL, R. Compagnon - F. Di Pasquale */ |
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|
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#include "standard.h" |
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|
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#ifdef NOSTRUCTASSIGN |
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static double err = "No structure assignment!"; /* generate compiler error */ |
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#endif |
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|
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|
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static double |
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Sqrt(x) |
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double x; |
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{ |
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if (x < 0.) |
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return(0.); |
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return(sqrt(x)); |
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} |
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|
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/* definitions de macros utiles */ |
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|
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#define ALPHA 0 |
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#define BETA 1 |
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#define GAMMA 2 |
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#define DELTA 3 |
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#define AUCUNE 4 |
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#define X(r) r.v[0] |
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#define Y(r) r.v[1] |
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#define Z(r) r.v[2] |
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#define XX(v) v[0] |
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#define YY(v) v[1] |
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#define ZZ(v) v[2] |
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#define alpha_beta(v_alpha,v_beta) tfm(matbt,v_alpha,v_beta) |
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#define beta_alpha(v_beta,v_alpha) tfm(matb,v_beta,v_alpha) |
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#define alpha_gamma(v_alpha,v_gamma) tfm(matct,v_alpha,v_gamma) |
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#define gamma_alpha(v_gamma,v_alpha) tfm(matc,v_gamma,v_alpha) |
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#define prob_alpha_gamma(r) (1.-prob_alpha_beta(r)) |
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#define prob_beta_gamma(r) (1.-prob_beta_alpha(r)) |
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#define prob_gamma_beta(r) (1.-prob_gamma_alpha(r)) |
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#define prob_delta_gamma(r) (1.-prob_delta_beta(r)) |
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#define prob_beta_delta(r) (prob_beta_alpha(r)) |
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#define prob_gamma_delta(r) (prob_gamma_alpha(r)) |
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#define prob_delta_beta(r) (prob_alpha_beta(r)) |
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|
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|
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/* Definitions des types de donnees */ |
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|
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typedef struct { FVECT v; /* direction */ |
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double ppar1,pper1, |
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ppar2,pper2; /* polarisations */ |
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double e; /* energie */ |
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double n; /* milieu dans lequel on se propage */ |
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int orig,dest; /* origine et destination */ |
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} TRAYON; |
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|
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typedef struct { double a,b,c,d; /* longueurs caracteristiques */ |
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double np; /* indice de refraction */ |
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} TPRISM; |
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|
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|
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/* Definitions des variables globales */ |
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|
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static TPRISM prism; /* le prisme ! */ |
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static MAT4 matb = MAT4IDENT; /* matrices de changement de bases */ |
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static MAT4 matbt = MAT4IDENT; |
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static MAT4 matc = MAT4IDENT; |
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static MAT4 matct = MAT4IDENT; |
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static double seuil; /* seuil pour l'arret du trace */ |
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static double sinus,cosinus; /* sin et cos */ |
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static double rapport; /* rapport entre les indices des |
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milieux refracteur et incident */ |
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static int tot_ref; /* flag pour les surfaces |
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reflechissantes */ |
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static double fact_ref[4]={1.0,1.0,1.0,1.0}; /* facteurs de reflexion */ |
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static double tolerance; /* degre de tol. pour les amalgames */ |
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static double tolsource; /* degre de tol. pour les sources */ |
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static double Nx; |
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static int bidon; |
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#define BADVAL (-10) |
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static long prismclock = -1; |
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static int nosource; /* indique que l'on ne trace pas |
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en direction d'une source */ |
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static int sens; /* indique le sens de prop. du ray.*/ |
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static int nbrayons; /* indice des rayons sortants */ |
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static TRAYON *ray; /* tableau des rayons sortants */ |
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static TRAYON *raytemp; /* variable temporaire */ |
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static TRAYON rtemp; /* variable temporaire */ |
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|
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extern double argument(); |
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extern double varvalue(); |
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extern double funvalue(); |
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extern long eclock; |
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|
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|
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/* Definition des routines */ |
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|
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#define term(a,b) a/Sqrt(a*a+b*b) |
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static |
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prepare_matrices() |
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{ |
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/* preparation des matrices de changement de bases */ |
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|
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matb[0][0] = matbt[0][0] = matb[1][1] = matbt[1][1] = term(prism.a,prism.d); |
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matb[1][0] = matbt[0][1] = term(-prism.d,prism.a); |
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matb[0][1] = matbt[1][0] = term(prism.d,prism.a); |
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matc[0][0] = matct[0][0] = matc[1][1] = matct[1][1] = term(prism.b,prism.d); |
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matc[1][0] = matct[0][1] = term(prism.d,prism.b); |
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matc[0][1] = matct[1][0] = term(-prism.d,prism.b); |
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return; |
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} |
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#undef term |
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|
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|
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static |
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tfm(mat,v_old,v_new) |
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MAT4 mat; |
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FVECT v_old,v_new; |
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{ |
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/* passage d'un repere old au repere new par la matrice mat */ |
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FVECT v_temp; |
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|
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multv3(v_temp,v_old,mat); |
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normalize(v_temp); |
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VCOPY(v_new,v_temp); |
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return; |
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} |
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|
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#define A prism.a |
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#define B prism.b |
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#define C prism.c |
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#define D prism.d |
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|
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|
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static double |
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prob_alpha_beta(r) |
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TRAYON r; |
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{ |
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/* calcul de la probabilite de passage de alpha a beta */ |
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double prob,test; |
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|
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if ( X(r) != 0. ) |
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{ |
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test = Y(r)/X(r); |
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if ( test > B/D ) prob = 1.; |
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else if ( test >= -A/D ) prob = (A+test*D)/(A+B); |
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else prob = 0.; |
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} |
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else prob = 0.; |
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return prob; |
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} |
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|
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|
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static double |
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prob_beta_alpha(r) |
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TRAYON r; |
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{ |
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/* calcul de la probabilite de passage de beta a aplha */ |
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double prob,test; |
164 |
|
165 |
if ( X(r) != 0. ) |
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{ |
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test = Y(r)/X(r); |
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if ( test > B/D ) prob = (A+B)/(A+test*D); |
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else if ( test >= -A/D ) prob = 1.; |
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else prob = 0.; |
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} |
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else prob = 0.; |
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return prob; |
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} |
175 |
|
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|
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double prob_gamma_alpha(r) |
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TRAYON r; |
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{ |
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/* calcul de la probabilite de passage de gamma a alpha */ |
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double prob,test; |
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|
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if ( X(r) != 0. ) |
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{ |
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test = Y(r)/X(r); |
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if ( test > B/D ) prob = 0.; |
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else if ( test >= -A/D ) prob = 1.; |
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else prob = (A+B)/(B-test*D); |
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} |
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else prob = 0.; |
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return prob; |
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} |
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|
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#undef A |
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#undef B |
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#undef C |
197 |
#undef D |
198 |
|
199 |
|
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static |
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v_par(v,v_out) |
202 |
FVECT v,v_out; |
203 |
/* calcule le vecteur par au plan d'incidence lie a v */ |
204 |
{ |
205 |
FVECT v_temp; |
206 |
double det; |
207 |
|
208 |
det = Sqrt( (YY(v)*YY(v)+ZZ(v)*ZZ(v))*(YY(v)*YY(v)+ZZ(v)*ZZ(v))+ |
209 |
(XX(v)*XX(v)*YY(v)*YY(v))+(XX(v)*XX(v)*ZZ(v)*ZZ(v)) ); |
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XX(v_temp) = (YY(v)*YY(v)+ZZ(v)*ZZ(v))/det; |
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YY(v_temp) = -( XX(v)*YY(v) )/det; |
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ZZ(v_temp) = -( XX(v)*ZZ(v) )/det; |
213 |
VCOPY(v_out,v_temp); |
214 |
return; |
215 |
} |
216 |
|
217 |
|
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static |
219 |
v_per(v,v_out) |
220 |
FVECT v,v_out; |
221 |
/* calcule le vecteur perp au plan d'incidence lie a v */ |
222 |
{ |
223 |
FVECT v_temp; |
224 |
double det; |
225 |
|
226 |
det = Sqrt( (ZZ(v)*ZZ(v)+YY(v)*YY(v)) ); |
227 |
XX(v_temp) = 0.; |
228 |
YY(v_temp) = -ZZ(v)/det; |
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ZZ(v_temp) = YY(v)/det; |
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VCOPY(v_out,v_temp); |
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return; |
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} |
233 |
|
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|
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static TRAYON |
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transalphabeta(r_initial) |
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/* transforme le rayon r_initial de la base associee a alpha dans |
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la base associee a beta */ |
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TRAYON r_initial; |
240 |
{ |
241 |
TRAYON r_final; |
242 |
FVECT vpar_temp1,vpar_temp2,vper_temp1,vper_temp2; |
243 |
|
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r_final = r_initial; |
245 |
alpha_beta(r_initial.v,r_final.v); |
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if ((Y(r_initial) != 0. || Z(r_initial) != 0.)&&(Y(r_final) !=0. || Z(r_final)!= 0.)) |
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{ |
248 |
v_par(r_initial.v,vpar_temp1); |
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alpha_beta(vpar_temp1,vpar_temp1); |
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v_per(r_initial.v,vper_temp1); |
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alpha_beta(vper_temp1,vper_temp1); |
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v_par(r_final.v,vpar_temp2); |
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v_per(r_final.v,vper_temp2); |
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r_final.ppar1 = (r_initial.ppar1*fdot(vpar_temp1,vpar_temp2))+ |
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(r_initial.pper1*fdot(vper_temp1,vpar_temp2)); |
256 |
r_final.pper1 = (r_initial.ppar1*fdot(vpar_temp1,vper_temp2))+ |
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(r_initial.pper1*fdot(vper_temp1,vper_temp2)); |
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r_final.ppar2 = (r_initial.ppar2*fdot(vpar_temp1,vpar_temp2))+ |
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(r_initial.pper2*fdot(vper_temp1,vpar_temp2)); |
260 |
r_final.pper2 = (r_initial.ppar2*fdot(vpar_temp1,vper_temp2))+ |
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(r_initial.pper2*fdot(vper_temp1,vper_temp2)); |
262 |
} |
263 |
return r_final; |
264 |
} |
265 |
|
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|
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static TRAYON |
268 |
transbetaalpha(r_initial) |
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/* transforme le rayon r_initial de la base associee a beta dans |
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la base associee a alpha */ |
271 |
TRAYON r_initial; |
272 |
{ |
273 |
TRAYON r_final; |
274 |
FVECT vpar_temp1,vpar_temp2,vper_temp1,vper_temp2; |
275 |
|
276 |
r_final = r_initial; |
277 |
beta_alpha(r_initial.v,r_final.v); |
278 |
if ((Y(r_initial) != 0. || Z(r_initial) != 0. )&&(Y(r_final) != 0. || Z(r_final)!= 0.)) |
279 |
{ |
280 |
v_par(r_initial.v,vpar_temp1); |
281 |
beta_alpha(vpar_temp1,vpar_temp1); |
282 |
v_per(r_initial.v,vper_temp1); |
283 |
beta_alpha(vper_temp1,vper_temp1); |
284 |
v_par(r_final.v,vpar_temp2); |
285 |
v_per(r_final.v,vper_temp2); |
286 |
r_final.ppar1 = (r_initial.ppar1*fdot(vpar_temp1,vpar_temp2))+ |
287 |
(r_initial.pper1*fdot(vper_temp1,vpar_temp2)); |
288 |
r_final.pper1 = (r_initial.ppar1*fdot(vpar_temp1,vper_temp2))+ |
289 |
(r_initial.pper1*fdot(vper_temp1,vper_temp2)); |
290 |
r_final.ppar2 = (r_initial.ppar2*fdot(vpar_temp1,vpar_temp2))+ |
291 |
(r_initial.pper2*fdot(vper_temp1,vpar_temp2)); |
292 |
r_final.pper2 = (r_initial.ppar2*fdot(vpar_temp1,vper_temp2))+ |
293 |
(r_initial.pper2*fdot(vper_temp1,vper_temp2)); |
294 |
|
295 |
} |
296 |
return r_final; |
297 |
} |
298 |
|
299 |
|
300 |
static TRAYON |
301 |
transalphagamma(r_initial) |
302 |
/* transforme le rayon r_initial de la base associee a alpha dans |
303 |
la base associee a gamma */ |
304 |
TRAYON r_initial; |
305 |
{ |
306 |
TRAYON r_final; |
307 |
FVECT vpar_temp1,vpar_temp2,vper_temp1,vper_temp2; |
308 |
|
309 |
r_final = r_initial; |
310 |
alpha_gamma(r_initial.v,r_final.v); |
311 |
if (( Y(r_initial) != 0. || Z(r_initial) != 0. )&&(Y(r_final)!= 0. || Z(r_final) !=0.)) |
312 |
{ |
313 |
v_par(r_initial.v,vpar_temp1); |
314 |
alpha_gamma(vpar_temp1,vpar_temp1); |
315 |
v_per(r_initial.v,vper_temp1); |
316 |
alpha_gamma(vper_temp1,vper_temp1); |
317 |
v_par(r_final.v,vpar_temp2); |
318 |
v_per(r_final.v,vper_temp2); |
319 |
r_final.ppar1 = (r_initial.ppar1*fdot(vpar_temp1,vpar_temp2))+ |
320 |
(r_initial.pper1*fdot(vper_temp1,vpar_temp2)); |
321 |
r_final.pper1 = (r_initial.ppar1*fdot(vpar_temp1,vper_temp2))+ |
322 |
(r_initial.pper1*fdot(vper_temp1,vper_temp2)); |
323 |
r_final.ppar2 = (r_initial.ppar2*fdot(vpar_temp1,vpar_temp2))+ |
324 |
(r_initial.pper2*fdot(vper_temp1,vpar_temp2)); |
325 |
r_final.pper2 = (r_initial.ppar2*fdot(vpar_temp1,vper_temp2))+ |
326 |
(r_initial.pper2*fdot(vper_temp1,vper_temp2)); |
327 |
|
328 |
} |
329 |
return r_final; |
330 |
} |
331 |
|
332 |
|
333 |
static TRAYON |
334 |
transgammaalpha(r_initial) |
335 |
/* transforme le rayon r_initial de la base associee a gamma dans |
336 |
la base associee a alpha */ |
337 |
TRAYON r_initial; |
338 |
{ |
339 |
TRAYON r_final; |
340 |
FVECT vpar_temp1,vpar_temp2,vper_temp1,vper_temp2; |
341 |
|
342 |
r_final = r_initial; |
343 |
gamma_alpha(r_initial.v,r_final.v); |
344 |
if (( Y(r_initial) != 0. || Z(r_initial) != 0. )&&(Y(r_final) !=0. || Z(r_final) != 0.)) |
345 |
{ |
346 |
v_par(r_initial.v,vpar_temp1); |
347 |
gamma_alpha(vpar_temp1,vpar_temp1); |
348 |
v_per(r_initial.v,vper_temp1); |
349 |
gamma_alpha(vper_temp1,vper_temp1); |
350 |
v_par(r_final.v,vpar_temp2); |
351 |
v_per(r_final.v,vper_temp2); |
352 |
r_final.ppar1 = (r_initial.ppar1*fdot(vpar_temp1,vpar_temp2))+ |
353 |
(r_initial.pper1*fdot(vper_temp1,vpar_temp2)); |
354 |
r_final.pper1 = (r_initial.ppar1*fdot(vpar_temp1,vper_temp2))+ |
355 |
(r_initial.pper1*fdot(vper_temp1,vper_temp2)); |
356 |
r_final.ppar2 = (r_initial.ppar2*fdot(vpar_temp1,vpar_temp2))+ |
357 |
(r_initial.pper2*fdot(vper_temp1,vpar_temp2)); |
358 |
r_final.pper2 = (r_initial.ppar2*fdot(vpar_temp1,vper_temp2))+ |
359 |
(r_initial.pper2*fdot(vper_temp1,vper_temp2)); |
360 |
} |
361 |
return r_final; |
362 |
} |
363 |
|
364 |
|
365 |
|
366 |
static int |
367 |
compare(r1,r2,marge) |
368 |
TRAYON r1, r2; |
369 |
double marge; |
370 |
|
371 |
{ |
372 |
double arctg1, arctg2; |
373 |
|
374 |
arctg1 = atan2(Y(r1),X(r1)); |
375 |
arctg2 = atan2(Y(r2),X(r2)); |
376 |
if ((arctg1 - marge <= arctg2) && (arctg1 + marge >= arctg2)) return 1; |
377 |
else return 0; |
378 |
} |
379 |
|
380 |
|
381 |
|
382 |
|
383 |
static |
384 |
sortie(r) |
385 |
TRAYON r; |
386 |
{ |
387 |
int i = 0; |
388 |
int egalite = 0; |
389 |
|
390 |
|
391 |
if(r.e > seuil) |
392 |
{ |
393 |
while (i < nbrayons && egalite == 0) |
394 |
{ |
395 |
raytemp = &ray[i]; |
396 |
egalite = compare(r,*raytemp,tolerance); |
397 |
if (egalite) raytemp->e = raytemp->e + r.e; |
398 |
else i = i + 1; |
399 |
} |
400 |
if (egalite == 0) |
401 |
{ |
402 |
if (nbrayons == 0) ray = (TRAYON *)calloc(1,sizeof(TRAYON)); |
403 |
else ray = (TRAYON *)realloc((void *)ray, (nbrayons+1)*(sizeof(TRAYON))); |
404 |
if (ray == NULL) |
405 |
error(SYSTEM, "out of memory in sortie\n"); |
406 |
raytemp = &ray[nbrayons]; |
407 |
raytemp->v[0] = X(r); |
408 |
raytemp->v[1] = Y(r); |
409 |
raytemp->v[2] = Z(r); |
410 |
raytemp->e = r.e; |
411 |
nbrayons++; |
412 |
} |
413 |
} |
414 |
return; |
415 |
} |
416 |
|
417 |
|
418 |
static |
419 |
trigo(r) |
420 |
TRAYON r; |
421 |
/* calcule les grandeurs trigonometriques relatives au rayon incident |
422 |
et le rapport entre les indices du milieu refracteur et incident */ |
423 |
{ |
424 |
double det; |
425 |
|
426 |
det = Sqrt(X(r)*X(r)+Y(r)*Y(r)+Z(r)*Z(r)); |
427 |
sinus = Sqrt(Y(r)*Y(r)+Z(r)*Z(r))/det; |
428 |
cosinus = Sqrt(X(r)*X(r))/det; |
429 |
if (r.n == 1.) rapport = prism.np * prism.np; |
430 |
else rapport = 1./(prism.np * prism.np); |
431 |
return; |
432 |
} |
433 |
|
434 |
|
435 |
static TRAYON |
436 |
reflexion(r_incident) |
437 |
TRAYON r_incident; |
438 |
{ |
439 |
/* calcul du rayon reflechi par une face */ |
440 |
TRAYON r_reflechi; |
441 |
|
442 |
r_reflechi = r_incident; |
443 |
trigo(r_incident); |
444 |
X(r_reflechi) = -X(r_incident); |
445 |
Y(r_reflechi) = Y(r_incident); |
446 |
Z(r_reflechi) = Z(r_incident); |
447 |
if(sinus > Sqrt(rapport) || r_incident.dest == tot_ref) |
448 |
{ |
449 |
r_reflechi.ppar1 = r_incident.ppar1; |
450 |
r_reflechi.pper1 = r_incident.pper1; |
451 |
r_reflechi.ppar2 = r_incident.ppar2; |
452 |
r_reflechi.pper2 = r_incident.pper2; |
453 |
r_reflechi.e = r_incident.e * fact_ref[r_incident.dest]; |
454 |
} |
455 |
else |
456 |
{ |
457 |
r_reflechi.ppar1 = r_incident.ppar1*(rapport*cosinus-Sqrt(rapport- |
458 |
(sinus*sinus)))/(rapport*cosinus+Sqrt(rapport-(sinus*sinus))); |
459 |
r_reflechi.pper1 = r_incident.pper1*(cosinus-Sqrt |
460 |
(rapport-(sinus*sinus)))/(cosinus+Sqrt(rapport-(sinus*sinus))); |
461 |
r_reflechi.ppar2 = r_incident.ppar2*(rapport*cosinus-Sqrt(rapport- |
462 |
(sinus*sinus)))/(rapport*cosinus+Sqrt(rapport-(sinus*sinus))); |
463 |
r_reflechi.pper2 = r_incident.pper2*(cosinus-Sqrt |
464 |
(rapport-(sinus*sinus)))/(cosinus+Sqrt(rapport-(sinus*sinus))); |
465 |
r_reflechi.e = r_incident.e *(((r_reflechi.ppar1*r_reflechi.ppar1+ |
466 |
r_reflechi.pper1*r_reflechi.pper1)/(r_incident.ppar1*r_incident.ppar1+ |
467 |
r_incident.pper1*r_incident.pper1))+((r_reflechi.ppar2*r_reflechi.ppar2 |
468 |
+r_reflechi.pper2*r_reflechi.pper2)/(r_incident.ppar2*r_incident.ppar2 |
469 |
+r_incident.pper2*r_incident.pper2)))/2; |
470 |
} |
471 |
|
472 |
/* a la sortie de cette routine r_transmis.orig et .dest ne sont pas definis!*/ |
473 |
return r_reflechi; |
474 |
} |
475 |
|
476 |
|
477 |
static TRAYON |
478 |
transmission(r_incident) |
479 |
TRAYON r_incident; |
480 |
{ |
481 |
/* calcul du rayon refracte par une face */ |
482 |
TRAYON r_transmis; |
483 |
|
484 |
r_transmis = r_incident; |
485 |
trigo(r_incident); |
486 |
if (sinus <= Sqrt(rapport) && r_incident.dest != tot_ref) |
487 |
{ |
488 |
X(r_transmis) = (X(r_incident)/(fabs(X(r_incident))))* |
489 |
(Sqrt(1.-(Y(r_incident)*Y(r_incident)+Z(r_incident)* |
490 |
Z(r_incident))/rapport)); |
491 |
Y(r_transmis) = Y(r_incident)/Sqrt(rapport); |
492 |
Z(r_transmis) = Z(r_incident)/Sqrt(rapport); |
493 |
r_transmis.ppar1 = r_incident.ppar1*2.*Sqrt(rapport)*cosinus/ |
494 |
(Sqrt(rapport-sinus*sinus)+rapport*cosinus); |
495 |
r_transmis.pper1 = r_incident.pper1*2.*cosinus/(cosinus+Sqrt(rapport |
496 |
- sinus*sinus)); |
497 |
r_transmis.ppar2 = r_incident.ppar2*2.*Sqrt(rapport)*cosinus/ |
498 |
(Sqrt(rapport-sinus*sinus)+rapport*cosinus); |
499 |
r_transmis.pper2 = r_incident.pper2*2.*cosinus/(cosinus+Sqrt(rapport |
500 |
- sinus*sinus)); |
501 |
r_transmis.e = (r_incident.e/2)*(Sqrt(rapport-sinus*sinus)/cosinus) |
502 |
*(((r_transmis.ppar1*r_transmis.ppar1+r_transmis.pper1* |
503 |
r_transmis.pper1) |
504 |
/(r_incident.ppar1*r_incident.ppar1+r_incident.pper1* |
505 |
r_incident.pper1))+ |
506 |
((r_transmis.ppar2*r_transmis.ppar2+r_transmis.pper2*r_transmis.pper2) |
507 |
/(r_incident.ppar2*r_incident.ppar2+r_incident.pper2*r_incident.pper2))); |
508 |
if(r_incident.n == 1.) r_transmis.n = prism.np; |
509 |
else r_transmis.n = 1.; |
510 |
} |
511 |
else r_transmis.e = 0.; |
512 |
|
513 |
/* a la sortie de cette routine r_transmis.orig et .dest ne sont pas definis!*/ |
514 |
|
515 |
return r_transmis; |
516 |
} |
517 |
|
518 |
|
519 |
|
520 |
|
521 |
#define ensuite(rayon,prob_passage,destination) r_suite = rayon; \ |
522 |
r_suite.e = prob_passage(rayon)*rayon.e; \ |
523 |
r_suite.dest = destination; \ |
524 |
if ( r_suite.e > seuil ) trace_rayon(r_suite) |
525 |
|
526 |
|
527 |
static |
528 |
trace_rayon(r_incident) |
529 |
TRAYON r_incident; |
530 |
{ |
531 |
/* trace le rayon donne */ |
532 |
TRAYON r_reflechi,r_transmis,r_suite; |
533 |
|
534 |
switch (r_incident.dest) |
535 |
{ |
536 |
case ALPHA: |
537 |
if ( r_incident.orig == ALPHA ) |
538 |
{ |
539 |
r_reflechi = reflexion(r_incident); |
540 |
sortie(r_reflechi); |
541 |
|
542 |
r_transmis = transmission(r_incident); |
543 |
r_transmis.orig = ALPHA; |
544 |
|
545 |
ensuite(r_transmis,prob_alpha_beta,BETA); |
546 |
ensuite(r_transmis,prob_alpha_gamma,GAMMA); |
547 |
} |
548 |
else |
549 |
{ |
550 |
r_reflechi = reflexion(r_incident); |
551 |
r_reflechi.orig = ALPHA; |
552 |
ensuite(r_reflechi,prob_alpha_beta,BETA); |
553 |
ensuite(r_reflechi,prob_alpha_gamma,GAMMA); |
554 |
|
555 |
r_transmis = transmission(r_incident); |
556 |
sortie(r_transmis); |
557 |
} |
558 |
break; |
559 |
case BETA: |
560 |
r_reflechi = transbetaalpha(reflexion(transalphabeta(r_incident))); |
561 |
r_reflechi.orig = BETA; |
562 |
r_transmis = transbetaalpha(transmission(transalphabeta |
563 |
(r_incident))); |
564 |
r_transmis.orig = GAMMA; |
565 |
if ( r_incident.n > 1.0 ) /* le rayon vient de l'interieur */ |
566 |
{ |
567 |
ensuite(r_reflechi,prob_beta_alpha,ALPHA); |
568 |
ensuite(r_reflechi,prob_beta_gamma,GAMMA); |
569 |
|
570 |
ensuite(r_transmis,prob_beta_gamma,GAMMA); |
571 |
ensuite(r_transmis,prob_beta_delta,DELTA); |
572 |
} |
573 |
else /* le rayon vient de l'exterieur */ |
574 |
{ |
575 |
ensuite(r_reflechi,prob_beta_gamma,GAMMA); |
576 |
ensuite(r_reflechi,prob_beta_delta,DELTA); |
577 |
|
578 |
ensuite(r_transmis,prob_beta_alpha,ALPHA); |
579 |
ensuite(r_transmis,prob_beta_gamma,GAMMA); |
580 |
} |
581 |
break; |
582 |
case GAMMA: |
583 |
r_reflechi = transgammaalpha(reflexion(transalphagamma(r_incident))); |
584 |
r_reflechi.orig = GAMMA; |
585 |
r_transmis = transgammaalpha(transmission(transalphagamma |
586 |
(r_incident))); |
587 |
r_transmis.orig = GAMMA; |
588 |
if ( r_incident.n > 1.0 ) /* le rayon vient de l'interieur */ |
589 |
{ |
590 |
ensuite(r_reflechi,prob_gamma_alpha,ALPHA); |
591 |
ensuite(r_reflechi,prob_gamma_beta,BETA); |
592 |
|
593 |
ensuite(r_transmis,prob_gamma_beta,BETA); |
594 |
ensuite(r_transmis,prob_gamma_delta,DELTA); |
595 |
} |
596 |
else /* le rayon vient de l'exterieur */ |
597 |
{ |
598 |
ensuite(r_reflechi,prob_gamma_beta,BETA); |
599 |
ensuite(r_reflechi,prob_gamma_delta,DELTA); |
600 |
|
601 |
ensuite(r_transmis,prob_gamma_alpha,ALPHA); |
602 |
ensuite(r_transmis,prob_gamma_beta,BETA); |
603 |
} |
604 |
break; |
605 |
case DELTA: |
606 |
if ( r_incident.orig != DELTA ) sortie(r_incident); |
607 |
else |
608 |
{ |
609 |
ensuite(r_incident,prob_delta_beta,BETA); |
610 |
ensuite(r_incident,prob_delta_gamma,GAMMA); |
611 |
} |
612 |
break; |
613 |
} |
614 |
return; |
615 |
} |
616 |
|
617 |
#undef ensuite |
618 |
|
619 |
static |
620 |
inverser(r1,r2) |
621 |
TRAYON *r1,*r2; |
622 |
|
623 |
{ |
624 |
TRAYON temp; |
625 |
temp = *r1; |
626 |
*r1 = *r2; |
627 |
*r2 = temp; |
628 |
} |
629 |
|
630 |
|
631 |
|
632 |
static |
633 |
setprism() |
634 |
{ |
635 |
double d; |
636 |
TRAYON r_initial,rsource; |
637 |
int i,j,k; |
638 |
|
639 |
prismclock = eclock; |
640 |
r_initial.ppar1 = r_initial.pper2 = 1.; |
641 |
r_initial.pper1 = r_initial.ppar2 = 0.; |
642 |
|
643 |
d = 1; prism.a = funvalue("arg", 1, &d); |
644 |
if(prism.a < 0.) goto badopt; |
645 |
d = 2; prism.b = funvalue("arg", 1, &d); |
646 |
if(prism.b < 0.) goto badopt; |
647 |
d = 3; prism.c = funvalue("arg", 1, &d); |
648 |
if(prism.c < 0.) goto badopt; |
649 |
d = 4; prism.d = funvalue("arg", 1, &d); |
650 |
if(prism.d < 0.) goto badopt; |
651 |
d = 5; prism.np = funvalue("arg", 1, &d); |
652 |
if(prism.np < 1.) goto badopt; |
653 |
d = 6; seuil = funvalue("arg", 1, &d); |
654 |
if (seuil < 0. || seuil >=1) goto badopt; |
655 |
d = 7; tot_ref = (int)(funvalue("arg", 1, &d) + .5); |
656 |
if (tot_ref != 1 && tot_ref != 2 && tot_ref != 4) goto badopt; |
657 |
if (tot_ref < 4 ) |
658 |
{ |
659 |
d = 8; fact_ref[tot_ref] = funvalue("arg", 1, &d); |
660 |
if (fact_ref[tot_ref] < 0. || fact_ref[tot_ref] > 1.) goto badopt; |
661 |
} |
662 |
d = 9; tolerance = funvalue("arg", 1, &d); |
663 |
if (tolerance <= 0.) goto badopt; |
664 |
d = 10; tolsource = funvalue("arg", 1, &d); |
665 |
if (tolsource < 0. ) goto badopt; |
666 |
X(r_initial) = varvalue("Dx"); |
667 |
Y(r_initial) = varvalue("Dy"); |
668 |
Z(r_initial) = varvalue("Dz"); |
669 |
#ifdef DEBUG |
670 |
fprintf(stderr,"dx=%lf dy=%lf dz=%lf\n",X(r_initial),Y(r_initial),Z(r_initial)); |
671 |
#endif |
672 |
|
673 |
/* initialisation */ |
674 |
prepare_matrices(); |
675 |
r_initial.e = 1.0; |
676 |
r_initial.n = 1.0; |
677 |
|
678 |
if(ray!=NULL) free(ray); |
679 |
nbrayons = 0; |
680 |
/* determination de l'origine et de la destination du rayon initial */ |
681 |
|
682 |
if ( X(r_initial) != 0.) |
683 |
{ |
684 |
if ( X(r_initial) > 0. ) |
685 |
{ |
686 |
r_initial.orig = r_initial.dest = ALPHA; |
687 |
sens = 1; |
688 |
} |
689 |
else if ( X(r_initial) < 0. ) |
690 |
{ |
691 |
r_initial.orig = r_initial.dest = DELTA; |
692 |
sens = -1; |
693 |
} |
694 |
|
695 |
normalize(r_initial.v); |
696 |
|
697 |
trace_rayon(r_initial); |
698 |
|
699 |
X(rsource) = varvalue("DxA"); |
700 |
Y(rsource) = varvalue("DyA"); |
701 |
Z(rsource) = varvalue("DzA"); |
702 |
nosource = ( X(rsource)==0. && Y(rsource)==0. && Z(rsource)==0. ); |
703 |
if ( !nosource ) |
704 |
{ |
705 |
for (j=0; j<nbrayons; j++) |
706 |
{ |
707 |
if ( !compare(ray[j],rsource,tolsource) ) ray[j].e =0.; |
708 |
} |
709 |
} |
710 |
for (j = 0; j < nbrayons; j++) |
711 |
{ |
712 |
for (i = j+1; i < nbrayons; i++) |
713 |
{ |
714 |
if (ray[j].e < ray[i].e) inverser(&ray[j],&ray[i]); |
715 |
} |
716 |
} |
717 |
|
718 |
bidon = 1; |
719 |
} |
720 |
else bidon = 0; |
721 |
return; |
722 |
|
723 |
/* message puis sortie si erreur dans la ligne de commande */ |
724 |
badopt: |
725 |
bidon = BADVAL; |
726 |
return; |
727 |
} |
728 |
|
729 |
|
730 |
static double |
731 |
l_get_val(char *nm) |
732 |
|
733 |
{ |
734 |
int val, dir, i, trouve, curseur; |
735 |
int nb; |
736 |
double valeur; |
737 |
TRAYON *rayt, raynull; |
738 |
|
739 |
if (prismclock < 0 || prismclock < eclock) setprism(); |
740 |
if (bidon == BADVAL) { |
741 |
errno = EDOM; |
742 |
return(0.0); |
743 |
} |
744 |
val = (int)(argument(1) + .5); |
745 |
dir = (int)(argument(2) + .5); |
746 |
nb = (int)(argument(3) + .5); |
747 |
X(raynull) = bidon; |
748 |
Y(raynull) = Z(raynull) = 0.; |
749 |
raynull.e = 0.; |
750 |
trouve = curseur = 0; |
751 |
if ( !nosource && nb==2 ) nb=1; /* on est en train de tracer la source |
752 |
a partir de sa seconde source virtuelle */ |
753 |
#ifdef DEBUG |
754 |
fprintf(stderr, " On considere le rayon no: %d\n", nb); |
755 |
#endif |
756 |
for(i=0; i < nbrayons &&!trouve; i++) |
757 |
{ |
758 |
if(ray[i].v[0] * dir * sens >= 0.) curseur ++; |
759 |
if(curseur == nb) |
760 |
{ |
761 |
rayt = &ray[i]; |
762 |
trouve = 1; |
763 |
} |
764 |
} |
765 |
if(!trouve) rayt = &raynull; |
766 |
switch(val) { |
767 |
case 0 : valeur = rayt->v[0]; |
768 |
break; |
769 |
case 1 : valeur = rayt->v[1]; |
770 |
break; |
771 |
case 2 : valeur = rayt->v[2]; |
772 |
break; |
773 |
case 3 : valeur = rayt->e; |
774 |
break; |
775 |
default : errno = EDOM; return(0.0); |
776 |
} |
777 |
#ifdef DEBUG |
778 |
fprintf(stderr, "get_val( %i, %i, %i) = %lf\n",val,dir,nb,valeur); |
779 |
#endif |
780 |
return valeur; |
781 |
} |
782 |
|
783 |
|
784 |
setprismfuncs() |
785 |
{ |
786 |
funset("fprism_val", 3, '=', l_get_val); |
787 |
} |