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#ifndef lint |
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static const char RCSid[] = "$Id: fprism.c,v 2.6 2003/08/04 22:37:53 greg Exp $"; |
3 |
#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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#include "calcomp.h" |
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#include "func.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( |
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double x |
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) |
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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 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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|
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|
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static void prepare_matrices(void); |
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static void tfm(MAT4 mat, FVECT v_old, FVECT v_new); |
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static double prob_alpha_beta(TRAYON r); |
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static double prob_beta_alpha(TRAYON r); |
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static double prob_gamma_alpha(TRAYON r); |
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static void v_par(FVECT v, FVECT v_out); |
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static void v_per(FVECT v, FVECT v_out); |
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static TRAYON transalphabeta(TRAYON r_initial); |
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static TRAYON transbetaalpha(TRAYON r_initial); |
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static TRAYON transalphagamma(TRAYON r_initial); |
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static TRAYON transgammaalpha(TRAYON r_initial); |
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static int compare(TRAYON r1, TRAYON r2, double marge); |
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static void sortie(TRAYON r); |
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static void trigo(TRAYON r); |
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static TRAYON reflexion(TRAYON r_incident); |
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static TRAYON transmission(TRAYON r_incident); |
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static void trace_rayon(TRAYON r_incident); |
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static void inverser(TRAYON *r1, TRAYON *r2); |
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static void setprism(void); |
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static double l_get_val(char *nm); |
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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 void |
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prepare_matrices(void) |
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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 void |
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tfm( |
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MAT4 mat, |
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FVECT v_old, |
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FVECT v_new |
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) |
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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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} |
153 |
|
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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( |
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TRAYON r |
163 |
) |
164 |
{ |
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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 |
181 |
prob_beta_alpha( |
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TRAYON r |
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) |
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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; |
187 |
|
188 |
if ( X(r) != 0. ) |
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{ |
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test = Y(r)/X(r); |
191 |
if ( test > B/D ) prob = (A+B)/(A+test*D); |
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else if ( test >= -A/D ) prob = 1.; |
193 |
else prob = 0.; |
194 |
} |
195 |
else prob = 0.; |
196 |
return prob; |
197 |
} |
198 |
|
199 |
|
200 |
static double |
201 |
prob_gamma_alpha( |
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TRAYON r |
203 |
) |
204 |
{ |
205 |
/* calcul de la probabilite de passage de gamma a alpha */ |
206 |
double prob,test; |
207 |
|
208 |
if ( X(r) != 0. ) |
209 |
{ |
210 |
test = Y(r)/X(r); |
211 |
if ( test > B/D ) prob = 0.; |
212 |
else if ( test >= -A/D ) prob = 1.; |
213 |
else prob = (A+B)/(B-test*D); |
214 |
} |
215 |
else prob = 0.; |
216 |
return prob; |
217 |
} |
218 |
|
219 |
#undef A |
220 |
#undef B |
221 |
#undef C |
222 |
#undef D |
223 |
|
224 |
|
225 |
static void |
226 |
v_par( |
227 |
FVECT v, |
228 |
FVECT v_out |
229 |
) |
230 |
/* calcule le vecteur par au plan d'incidence lie a v */ |
231 |
{ |
232 |
FVECT v_temp; |
233 |
double det; |
234 |
|
235 |
det = Sqrt( (YY(v)*YY(v)+ZZ(v)*ZZ(v))*(YY(v)*YY(v)+ZZ(v)*ZZ(v))+ |
236 |
(XX(v)*XX(v)*YY(v)*YY(v))+(XX(v)*XX(v)*ZZ(v)*ZZ(v)) ); |
237 |
XX(v_temp) = (YY(v)*YY(v)+ZZ(v)*ZZ(v))/det; |
238 |
YY(v_temp) = -( XX(v)*YY(v) )/det; |
239 |
ZZ(v_temp) = -( XX(v)*ZZ(v) )/det; |
240 |
VCOPY(v_out,v_temp); |
241 |
return; |
242 |
} |
243 |
|
244 |
|
245 |
static void |
246 |
v_per( |
247 |
FVECT v, |
248 |
FVECT v_out |
249 |
) |
250 |
/* calcule le vecteur perp au plan d'incidence lie a v */ |
251 |
{ |
252 |
FVECT v_temp; |
253 |
double det; |
254 |
|
255 |
det = Sqrt( (ZZ(v)*ZZ(v)+YY(v)*YY(v)) ); |
256 |
XX(v_temp) = 0.; |
257 |
YY(v_temp) = -ZZ(v)/det; |
258 |
ZZ(v_temp) = YY(v)/det; |
259 |
VCOPY(v_out,v_temp); |
260 |
return; |
261 |
} |
262 |
|
263 |
|
264 |
static TRAYON |
265 |
transalphabeta( |
266 |
TRAYON r_initial |
267 |
) |
268 |
/* transforme le rayon r_initial de la base associee a alpha dans |
269 |
la base associee a beta */ |
270 |
{ |
271 |
TRAYON r_final; |
272 |
FVECT vpar_temp1,vpar_temp2,vper_temp1,vper_temp2; |
273 |
|
274 |
r_final = r_initial; |
275 |
alpha_beta(r_initial.v,r_final.v); |
276 |
if ((Y(r_initial) != 0. || Z(r_initial) != 0.)&&(Y(r_final) !=0. || Z(r_final)!= 0.)) |
277 |
{ |
278 |
v_par(r_initial.v,vpar_temp1); |
279 |
alpha_beta(vpar_temp1,vpar_temp1); |
280 |
v_per(r_initial.v,vper_temp1); |
281 |
alpha_beta(vper_temp1,vper_temp1); |
282 |
v_par(r_final.v,vpar_temp2); |
283 |
v_per(r_final.v,vper_temp2); |
284 |
r_final.ppar1 = (r_initial.ppar1*fdot(vpar_temp1,vpar_temp2))+ |
285 |
(r_initial.pper1*fdot(vper_temp1,vpar_temp2)); |
286 |
r_final.pper1 = (r_initial.ppar1*fdot(vpar_temp1,vper_temp2))+ |
287 |
(r_initial.pper1*fdot(vper_temp1,vper_temp2)); |
288 |
r_final.ppar2 = (r_initial.ppar2*fdot(vpar_temp1,vpar_temp2))+ |
289 |
(r_initial.pper2*fdot(vper_temp1,vpar_temp2)); |
290 |
r_final.pper2 = (r_initial.ppar2*fdot(vpar_temp1,vper_temp2))+ |
291 |
(r_initial.pper2*fdot(vper_temp1,vper_temp2)); |
292 |
} |
293 |
return r_final; |
294 |
} |
295 |
|
296 |
|
297 |
static TRAYON |
298 |
transbetaalpha( |
299 |
TRAYON r_initial |
300 |
) |
301 |
{ |
302 |
/* transforme le rayon r_initial de la base associee a beta dans |
303 |
la base associee a alpha */ |
304 |
TRAYON r_final; |
305 |
FVECT vpar_temp1,vpar_temp2,vper_temp1,vper_temp2; |
306 |
|
307 |
r_final = r_initial; |
308 |
beta_alpha(r_initial.v,r_final.v); |
309 |
if ((Y(r_initial) != 0. || Z(r_initial) != 0. )&&(Y(r_final) != 0. || Z(r_final)!= 0.)) |
310 |
{ |
311 |
v_par(r_initial.v,vpar_temp1); |
312 |
beta_alpha(vpar_temp1,vpar_temp1); |
313 |
v_per(r_initial.v,vper_temp1); |
314 |
beta_alpha(vper_temp1,vper_temp1); |
315 |
v_par(r_final.v,vpar_temp2); |
316 |
v_per(r_final.v,vper_temp2); |
317 |
r_final.ppar1 = (r_initial.ppar1*fdot(vpar_temp1,vpar_temp2))+ |
318 |
(r_initial.pper1*fdot(vper_temp1,vpar_temp2)); |
319 |
r_final.pper1 = (r_initial.ppar1*fdot(vpar_temp1,vper_temp2))+ |
320 |
(r_initial.pper1*fdot(vper_temp1,vper_temp2)); |
321 |
r_final.ppar2 = (r_initial.ppar2*fdot(vpar_temp1,vpar_temp2))+ |
322 |
(r_initial.pper2*fdot(vper_temp1,vpar_temp2)); |
323 |
r_final.pper2 = (r_initial.ppar2*fdot(vpar_temp1,vper_temp2))+ |
324 |
(r_initial.pper2*fdot(vper_temp1,vper_temp2)); |
325 |
|
326 |
} |
327 |
return r_final; |
328 |
} |
329 |
|
330 |
|
331 |
static TRAYON |
332 |
transalphagamma( |
333 |
TRAYON r_initial |
334 |
) |
335 |
/* transforme le rayon r_initial de la base associee a alpha dans |
336 |
la base associee a gamma */ |
337 |
{ |
338 |
TRAYON r_final; |
339 |
FVECT vpar_temp1,vpar_temp2,vper_temp1,vper_temp2; |
340 |
|
341 |
r_final = r_initial; |
342 |
alpha_gamma(r_initial.v,r_final.v); |
343 |
if (( Y(r_initial) != 0. || Z(r_initial) != 0. )&&(Y(r_final)!= 0. || Z(r_final) !=0.)) |
344 |
{ |
345 |
v_par(r_initial.v,vpar_temp1); |
346 |
alpha_gamma(vpar_temp1,vpar_temp1); |
347 |
v_per(r_initial.v,vper_temp1); |
348 |
alpha_gamma(vper_temp1,vper_temp1); |
349 |
v_par(r_final.v,vpar_temp2); |
350 |
v_per(r_final.v,vper_temp2); |
351 |
r_final.ppar1 = (r_initial.ppar1*fdot(vpar_temp1,vpar_temp2))+ |
352 |
(r_initial.pper1*fdot(vper_temp1,vpar_temp2)); |
353 |
r_final.pper1 = (r_initial.ppar1*fdot(vpar_temp1,vper_temp2))+ |
354 |
(r_initial.pper1*fdot(vper_temp1,vper_temp2)); |
355 |
r_final.ppar2 = (r_initial.ppar2*fdot(vpar_temp1,vpar_temp2))+ |
356 |
(r_initial.pper2*fdot(vper_temp1,vpar_temp2)); |
357 |
r_final.pper2 = (r_initial.ppar2*fdot(vpar_temp1,vper_temp2))+ |
358 |
(r_initial.pper2*fdot(vper_temp1,vper_temp2)); |
359 |
|
360 |
} |
361 |
return r_final; |
362 |
} |
363 |
|
364 |
|
365 |
static TRAYON |
366 |
transgammaalpha( |
367 |
TRAYON r_initial |
368 |
) |
369 |
/* transforme le rayon r_initial de la base associee a gamma dans |
370 |
la base associee a alpha */ |
371 |
{ |
372 |
TRAYON r_final; |
373 |
FVECT vpar_temp1,vpar_temp2,vper_temp1,vper_temp2; |
374 |
|
375 |
r_final = r_initial; |
376 |
gamma_alpha(r_initial.v,r_final.v); |
377 |
if (( Y(r_initial) != 0. || Z(r_initial) != 0. )&&(Y(r_final) !=0. || Z(r_final) != 0.)) |
378 |
{ |
379 |
v_par(r_initial.v,vpar_temp1); |
380 |
gamma_alpha(vpar_temp1,vpar_temp1); |
381 |
v_per(r_initial.v,vper_temp1); |
382 |
gamma_alpha(vper_temp1,vper_temp1); |
383 |
v_par(r_final.v,vpar_temp2); |
384 |
v_per(r_final.v,vper_temp2); |
385 |
r_final.ppar1 = (r_initial.ppar1*fdot(vpar_temp1,vpar_temp2))+ |
386 |
(r_initial.pper1*fdot(vper_temp1,vpar_temp2)); |
387 |
r_final.pper1 = (r_initial.ppar1*fdot(vpar_temp1,vper_temp2))+ |
388 |
(r_initial.pper1*fdot(vper_temp1,vper_temp2)); |
389 |
r_final.ppar2 = (r_initial.ppar2*fdot(vpar_temp1,vpar_temp2))+ |
390 |
(r_initial.pper2*fdot(vper_temp1,vpar_temp2)); |
391 |
r_final.pper2 = (r_initial.ppar2*fdot(vpar_temp1,vper_temp2))+ |
392 |
(r_initial.pper2*fdot(vper_temp1,vper_temp2)); |
393 |
} |
394 |
return r_final; |
395 |
} |
396 |
|
397 |
|
398 |
|
399 |
static int |
400 |
compare( |
401 |
TRAYON r1, |
402 |
TRAYON r2, |
403 |
double marge |
404 |
) |
405 |
{ |
406 |
double arctg1, arctg2; |
407 |
|
408 |
arctg1 = atan2(Y(r1),X(r1)); |
409 |
arctg2 = atan2(Y(r2),X(r2)); |
410 |
if ((arctg1 - marge <= arctg2) && (arctg1 + marge >= arctg2)) return 1; |
411 |
else return 0; |
412 |
} |
413 |
|
414 |
|
415 |
|
416 |
|
417 |
static void |
418 |
sortie( |
419 |
TRAYON r |
420 |
) |
421 |
{ |
422 |
int i = 0; |
423 |
int egalite = 0; |
424 |
|
425 |
|
426 |
if(r.e > seuil) |
427 |
{ |
428 |
while (i < nbrayons && egalite == 0) |
429 |
{ |
430 |
raytemp = &ray[i]; |
431 |
egalite = compare(r,*raytemp,tolerance); |
432 |
if (egalite) raytemp->e = raytemp->e + r.e; |
433 |
else i = i + 1; |
434 |
} |
435 |
if (egalite == 0) |
436 |
{ |
437 |
if (nbrayons == 0) ray = (TRAYON *)calloc(1,sizeof(TRAYON)); |
438 |
else ray = (TRAYON *)realloc((void *)ray, (nbrayons+1)*(sizeof(TRAYON))); |
439 |
if (ray == NULL) |
440 |
error(SYSTEM, "out of memory in sortie\n"); |
441 |
raytemp = &ray[nbrayons]; |
442 |
raytemp->v[0] = X(r); |
443 |
raytemp->v[1] = Y(r); |
444 |
raytemp->v[2] = Z(r); |
445 |
raytemp->e = r.e; |
446 |
nbrayons++; |
447 |
} |
448 |
} |
449 |
return; |
450 |
} |
451 |
|
452 |
|
453 |
static void |
454 |
trigo( |
455 |
TRAYON r |
456 |
) |
457 |
/* calcule les grandeurs trigonometriques relatives au rayon incident |
458 |
et le rapport entre les indices du milieu refracteur et incident */ |
459 |
{ |
460 |
double det; |
461 |
|
462 |
det = Sqrt(X(r)*X(r)+Y(r)*Y(r)+Z(r)*Z(r)); |
463 |
sinus = Sqrt(Y(r)*Y(r)+Z(r)*Z(r))/det; |
464 |
cosinus = Sqrt(X(r)*X(r))/det; |
465 |
if (r.n == 1.) rapport = prism.np * prism.np; |
466 |
else rapport = 1./(prism.np * prism.np); |
467 |
return; |
468 |
} |
469 |
|
470 |
|
471 |
static TRAYON |
472 |
reflexion( |
473 |
TRAYON r_incident |
474 |
) |
475 |
{ |
476 |
/* calcul du rayon reflechi par une face */ |
477 |
TRAYON r_reflechi; |
478 |
|
479 |
r_reflechi = r_incident; |
480 |
trigo(r_incident); |
481 |
X(r_reflechi) = -X(r_incident); |
482 |
Y(r_reflechi) = Y(r_incident); |
483 |
Z(r_reflechi) = Z(r_incident); |
484 |
if(sinus > Sqrt(rapport) || r_incident.dest == tot_ref) |
485 |
{ |
486 |
r_reflechi.ppar1 = r_incident.ppar1; |
487 |
r_reflechi.pper1 = r_incident.pper1; |
488 |
r_reflechi.ppar2 = r_incident.ppar2; |
489 |
r_reflechi.pper2 = r_incident.pper2; |
490 |
r_reflechi.e = r_incident.e * fact_ref[r_incident.dest]; |
491 |
} |
492 |
else |
493 |
{ |
494 |
r_reflechi.ppar1 = r_incident.ppar1*(rapport*cosinus-Sqrt(rapport- |
495 |
(sinus*sinus)))/(rapport*cosinus+Sqrt(rapport-(sinus*sinus))); |
496 |
r_reflechi.pper1 = r_incident.pper1*(cosinus-Sqrt |
497 |
(rapport-(sinus*sinus)))/(cosinus+Sqrt(rapport-(sinus*sinus))); |
498 |
r_reflechi.ppar2 = r_incident.ppar2*(rapport*cosinus-Sqrt(rapport- |
499 |
(sinus*sinus)))/(rapport*cosinus+Sqrt(rapport-(sinus*sinus))); |
500 |
r_reflechi.pper2 = r_incident.pper2*(cosinus-Sqrt |
501 |
(rapport-(sinus*sinus)))/(cosinus+Sqrt(rapport-(sinus*sinus))); |
502 |
r_reflechi.e = r_incident.e *(((r_reflechi.ppar1*r_reflechi.ppar1+ |
503 |
r_reflechi.pper1*r_reflechi.pper1)/(r_incident.ppar1*r_incident.ppar1+ |
504 |
r_incident.pper1*r_incident.pper1))+((r_reflechi.ppar2*r_reflechi.ppar2 |
505 |
+r_reflechi.pper2*r_reflechi.pper2)/(r_incident.ppar2*r_incident.ppar2 |
506 |
+r_incident.pper2*r_incident.pper2)))/2; |
507 |
} |
508 |
|
509 |
/* a la sortie de cette routine r_transmis.orig et .dest ne sont pas definis!*/ |
510 |
return r_reflechi; |
511 |
} |
512 |
|
513 |
|
514 |
static TRAYON |
515 |
transmission( |
516 |
TRAYON r_incident |
517 |
) |
518 |
{ |
519 |
/* calcul du rayon refracte par une face */ |
520 |
TRAYON r_transmis; |
521 |
|
522 |
r_transmis = r_incident; |
523 |
trigo(r_incident); |
524 |
if (sinus <= Sqrt(rapport) && r_incident.dest != tot_ref) |
525 |
{ |
526 |
X(r_transmis) = (X(r_incident)/(fabs(X(r_incident))))* |
527 |
(Sqrt(1.-(Y(r_incident)*Y(r_incident)+Z(r_incident)* |
528 |
Z(r_incident))/rapport)); |
529 |
Y(r_transmis) = Y(r_incident)/Sqrt(rapport); |
530 |
Z(r_transmis) = Z(r_incident)/Sqrt(rapport); |
531 |
r_transmis.ppar1 = r_incident.ppar1*2.*Sqrt(rapport)*cosinus/ |
532 |
(Sqrt(rapport-sinus*sinus)+rapport*cosinus); |
533 |
r_transmis.pper1 = r_incident.pper1*2.*cosinus/(cosinus+Sqrt(rapport |
534 |
- sinus*sinus)); |
535 |
r_transmis.ppar2 = r_incident.ppar2*2.*Sqrt(rapport)*cosinus/ |
536 |
(Sqrt(rapport-sinus*sinus)+rapport*cosinus); |
537 |
r_transmis.pper2 = r_incident.pper2*2.*cosinus/(cosinus+Sqrt(rapport |
538 |
- sinus*sinus)); |
539 |
r_transmis.e = (r_incident.e/2)*(Sqrt(rapport-sinus*sinus)/cosinus) |
540 |
*(((r_transmis.ppar1*r_transmis.ppar1+r_transmis.pper1* |
541 |
r_transmis.pper1) |
542 |
/(r_incident.ppar1*r_incident.ppar1+r_incident.pper1* |
543 |
r_incident.pper1))+ |
544 |
((r_transmis.ppar2*r_transmis.ppar2+r_transmis.pper2*r_transmis.pper2) |
545 |
/(r_incident.ppar2*r_incident.ppar2+r_incident.pper2*r_incident.pper2))); |
546 |
if(r_incident.n == 1.) r_transmis.n = prism.np; |
547 |
else r_transmis.n = 1.; |
548 |
} |
549 |
else r_transmis.e = 0.; |
550 |
|
551 |
/* a la sortie de cette routine r_transmis.orig et .dest ne sont pas definis!*/ |
552 |
|
553 |
return r_transmis; |
554 |
} |
555 |
|
556 |
|
557 |
|
558 |
|
559 |
#define ensuite(rayon,prob_passage,destination) r_suite = rayon; \ |
560 |
r_suite.e = prob_passage(rayon)*rayon.e; \ |
561 |
r_suite.dest = destination; \ |
562 |
if ( r_suite.e > seuil ) trace_rayon(r_suite) |
563 |
|
564 |
|
565 |
static void |
566 |
trace_rayon( |
567 |
TRAYON r_incident |
568 |
) |
569 |
{ |
570 |
/* trace le rayon donne */ |
571 |
TRAYON r_reflechi,r_transmis,r_suite; |
572 |
|
573 |
switch (r_incident.dest) |
574 |
{ |
575 |
case ALPHA: |
576 |
if ( r_incident.orig == ALPHA ) |
577 |
{ |
578 |
r_reflechi = reflexion(r_incident); |
579 |
sortie(r_reflechi); |
580 |
|
581 |
r_transmis = transmission(r_incident); |
582 |
r_transmis.orig = ALPHA; |
583 |
|
584 |
ensuite(r_transmis,prob_alpha_beta,BETA); |
585 |
ensuite(r_transmis,prob_alpha_gamma,GAMMA); |
586 |
} |
587 |
else |
588 |
{ |
589 |
r_reflechi = reflexion(r_incident); |
590 |
r_reflechi.orig = ALPHA; |
591 |
ensuite(r_reflechi,prob_alpha_beta,BETA); |
592 |
ensuite(r_reflechi,prob_alpha_gamma,GAMMA); |
593 |
|
594 |
r_transmis = transmission(r_incident); |
595 |
sortie(r_transmis); |
596 |
} |
597 |
break; |
598 |
case BETA: |
599 |
r_reflechi = transbetaalpha(reflexion(transalphabeta(r_incident))); |
600 |
r_reflechi.orig = BETA; |
601 |
r_transmis = transbetaalpha(transmission(transalphabeta |
602 |
(r_incident))); |
603 |
r_transmis.orig = GAMMA; |
604 |
if ( r_incident.n > 1.0 ) /* le rayon vient de l'interieur */ |
605 |
{ |
606 |
ensuite(r_reflechi,prob_beta_alpha,ALPHA); |
607 |
ensuite(r_reflechi,prob_beta_gamma,GAMMA); |
608 |
|
609 |
ensuite(r_transmis,prob_beta_gamma,GAMMA); |
610 |
ensuite(r_transmis,prob_beta_delta,DELTA); |
611 |
} |
612 |
else /* le rayon vient de l'exterieur */ |
613 |
{ |
614 |
ensuite(r_reflechi,prob_beta_gamma,GAMMA); |
615 |
ensuite(r_reflechi,prob_beta_delta,DELTA); |
616 |
|
617 |
ensuite(r_transmis,prob_beta_alpha,ALPHA); |
618 |
ensuite(r_transmis,prob_beta_gamma,GAMMA); |
619 |
} |
620 |
break; |
621 |
case GAMMA: |
622 |
r_reflechi = transgammaalpha(reflexion(transalphagamma(r_incident))); |
623 |
r_reflechi.orig = GAMMA; |
624 |
r_transmis = transgammaalpha(transmission(transalphagamma |
625 |
(r_incident))); |
626 |
r_transmis.orig = GAMMA; |
627 |
if ( r_incident.n > 1.0 ) /* le rayon vient de l'interieur */ |
628 |
{ |
629 |
ensuite(r_reflechi,prob_gamma_alpha,ALPHA); |
630 |
ensuite(r_reflechi,prob_gamma_beta,BETA); |
631 |
|
632 |
ensuite(r_transmis,prob_gamma_beta,BETA); |
633 |
ensuite(r_transmis,prob_gamma_delta,DELTA); |
634 |
} |
635 |
else /* le rayon vient de l'exterieur */ |
636 |
{ |
637 |
ensuite(r_reflechi,prob_gamma_beta,BETA); |
638 |
ensuite(r_reflechi,prob_gamma_delta,DELTA); |
639 |
|
640 |
ensuite(r_transmis,prob_gamma_alpha,ALPHA); |
641 |
ensuite(r_transmis,prob_gamma_beta,BETA); |
642 |
} |
643 |
break; |
644 |
case DELTA: |
645 |
if ( r_incident.orig != DELTA ) sortie(r_incident); |
646 |
else |
647 |
{ |
648 |
ensuite(r_incident,prob_delta_beta,BETA); |
649 |
ensuite(r_incident,prob_delta_gamma,GAMMA); |
650 |
} |
651 |
break; |
652 |
} |
653 |
return; |
654 |
} |
655 |
|
656 |
#undef ensuite |
657 |
|
658 |
static void |
659 |
inverser( |
660 |
TRAYON *r1, |
661 |
TRAYON *r2 |
662 |
) |
663 |
{ |
664 |
TRAYON temp; |
665 |
temp = *r1; |
666 |
*r1 = *r2; |
667 |
*r2 = temp; |
668 |
} |
669 |
|
670 |
|
671 |
|
672 |
static void |
673 |
setprism(void) |
674 |
{ |
675 |
double d; |
676 |
TRAYON r_initial,rsource; |
677 |
int i,j; |
678 |
|
679 |
prismclock = eclock; |
680 |
r_initial.ppar1 = r_initial.pper2 = 1.; |
681 |
r_initial.pper1 = r_initial.ppar2 = 0.; |
682 |
|
683 |
d = 1; prism.a = funvalue("arg", 1, &d); |
684 |
if(prism.a < 0.) goto badopt; |
685 |
d = 2; prism.b = funvalue("arg", 1, &d); |
686 |
if(prism.b < 0.) goto badopt; |
687 |
d = 3; prism.c = funvalue("arg", 1, &d); |
688 |
if(prism.c < 0.) goto badopt; |
689 |
d = 4; prism.d = funvalue("arg", 1, &d); |
690 |
if(prism.d < 0.) goto badopt; |
691 |
d = 5; prism.np = funvalue("arg", 1, &d); |
692 |
if(prism.np < 1.) goto badopt; |
693 |
d = 6; seuil = funvalue("arg", 1, &d); |
694 |
if (seuil < 0. || seuil >=1) goto badopt; |
695 |
d = 7; tot_ref = (int)(funvalue("arg", 1, &d) + .5); |
696 |
if (tot_ref != 1 && tot_ref != 2 && tot_ref != 4) goto badopt; |
697 |
if (tot_ref < 4 ) |
698 |
{ |
699 |
d = 8; fact_ref[tot_ref] = funvalue("arg", 1, &d); |
700 |
if (fact_ref[tot_ref] < 0. || fact_ref[tot_ref] > 1.) goto badopt; |
701 |
} |
702 |
d = 9; tolerance = funvalue("arg", 1, &d); |
703 |
if (tolerance <= 0.) goto badopt; |
704 |
d = 10; tolsource = funvalue("arg", 1, &d); |
705 |
if (tolsource < 0. ) goto badopt; |
706 |
X(r_initial) = varvalue("Dx"); |
707 |
Y(r_initial) = varvalue("Dy"); |
708 |
Z(r_initial) = varvalue("Dz"); |
709 |
#ifdef DEBUG |
710 |
fprintf(stderr,"dx=%lf dy=%lf dz=%lf\n",X(r_initial),Y(r_initial),Z(r_initial)); |
711 |
#endif |
712 |
|
713 |
/* initialisation */ |
714 |
prepare_matrices(); |
715 |
r_initial.e = 1.0; |
716 |
r_initial.n = 1.0; |
717 |
|
718 |
if(ray!=NULL) free(ray); |
719 |
nbrayons = 0; |
720 |
/* determination de l'origine et de la destination du rayon initial */ |
721 |
|
722 |
if ( X(r_initial) != 0.) |
723 |
{ |
724 |
if ( X(r_initial) > 0. ) |
725 |
{ |
726 |
r_initial.orig = r_initial.dest = ALPHA; |
727 |
sens = 1; |
728 |
} |
729 |
else if ( X(r_initial) < 0. ) |
730 |
{ |
731 |
r_initial.orig = r_initial.dest = DELTA; |
732 |
sens = -1; |
733 |
} |
734 |
|
735 |
normalize(r_initial.v); |
736 |
|
737 |
trace_rayon(r_initial); |
738 |
|
739 |
X(rsource) = varvalue("DxA"); |
740 |
Y(rsource) = varvalue("DyA"); |
741 |
Z(rsource) = varvalue("DzA"); |
742 |
nosource = ( X(rsource)==0. && Y(rsource)==0. && Z(rsource)==0. ); |
743 |
if ( !nosource ) |
744 |
{ |
745 |
for (j=0; j<nbrayons; j++) |
746 |
{ |
747 |
if ( !compare(ray[j],rsource,tolsource) ) ray[j].e =0.; |
748 |
} |
749 |
} |
750 |
for (j = 0; j < nbrayons; j++) |
751 |
{ |
752 |
for (i = j+1; i < nbrayons; i++) |
753 |
{ |
754 |
if (ray[j].e < ray[i].e) inverser(&ray[j],&ray[i]); |
755 |
} |
756 |
} |
757 |
|
758 |
bidon = 1; |
759 |
} |
760 |
else bidon = 0; |
761 |
return; |
762 |
|
763 |
/* message puis sortie si erreur dans la ligne de commande */ |
764 |
badopt: |
765 |
bidon = BADVAL; |
766 |
return; |
767 |
} |
768 |
|
769 |
|
770 |
static double |
771 |
l_get_val( |
772 |
char *nm |
773 |
) |
774 |
{ |
775 |
int val, dir, i, trouve, curseur; |
776 |
int nb; |
777 |
double valeur; |
778 |
TRAYON *rayt, raynull; |
779 |
|
780 |
if (prismclock < 0 || prismclock < eclock) setprism(); |
781 |
if (bidon == BADVAL) { |
782 |
errno = EDOM; |
783 |
return(0.0); |
784 |
} |
785 |
val = (int)(argument(1) + .5); |
786 |
dir = (int)(argument(2) + .5); |
787 |
nb = (int)(argument(3) + .5); |
788 |
X(raynull) = bidon; |
789 |
Y(raynull) = Z(raynull) = 0.; |
790 |
raynull.e = 0.; |
791 |
trouve = curseur = 0; |
792 |
if ( !nosource && nb==2 ) nb=1; /* on est en train de tracer la source |
793 |
a partir de sa seconde source virtuelle */ |
794 |
#ifdef DEBUG |
795 |
fprintf(stderr, " On considere le rayon no: %d\n", nb); |
796 |
#endif |
797 |
for(i=0; i < nbrayons &&!trouve; i++) |
798 |
{ |
799 |
if(ray[i].v[0] * dir * sens >= 0.) curseur ++; |
800 |
if(curseur == nb) |
801 |
{ |
802 |
rayt = &ray[i]; |
803 |
trouve = 1; |
804 |
} |
805 |
} |
806 |
if(!trouve) rayt = &raynull; |
807 |
switch(val) { |
808 |
case 0 : valeur = rayt->v[0]; |
809 |
break; |
810 |
case 1 : valeur = rayt->v[1]; |
811 |
break; |
812 |
case 2 : valeur = rayt->v[2]; |
813 |
break; |
814 |
case 3 : valeur = rayt->e; |
815 |
break; |
816 |
default : errno = EDOM; return(0.0); |
817 |
} |
818 |
#ifdef DEBUG |
819 |
fprintf(stderr, "get_val( %i, %i, %i) = %lf\n",val,dir,nb,valeur); |
820 |
#endif |
821 |
return valeur; |
822 |
} |
823 |
|
824 |
|
825 |
extern void |
826 |
setprismfuncs(void) /* declared in func.h */ |
827 |
{ |
828 |
funset("fprism_val", 3, '=', l_get_val); |
829 |
} |