23char cftcossincp_C[] =
"$Header: /cvsroot/Lorene/C++/Source/Non_class_members/Coef/FFT991/cftcossincp.C,v 1.4 2014/10/15 12:48:20 j_novak Exp $" ;
138#include "proto_f77.h"
142int* facto_ini(
int ) ;
143double* trigo_ini(
int ) ;
144double* cheb_ini(
const int) ;
145double* chebimp_ini(
const int ) ;
148void cftcossincp(
const int* deg,
const int* dimf,
double* ff,
const int* dimc,
167 cout <<
"cftcossincp: nt > n2f : nt = " << nt <<
" , n2f = "
173 cout <<
"cftcossincp: nt > n2c : nt = " << nt <<
" , n2c = "
179 cout <<
"cftcossincp: n1f > n1c : n1f = " << n1f <<
" , n1c = "
185 cout <<
"cftcossincp: n3f > n3c : n3f = " << n3f <<
" , n3c = "
196 int* facto = facto_ini(nm1) ;
197 double* trigo = trigo_ini(nm1) ;
200 double* sinp = cheb_ini(nt);
203 double* sinth = chebimp_ini(nt);
207 double* g = (
double*)( malloc( (nm1+2)*
sizeof(
double) ) );
208 double* t1 = (
double*)( malloc( (nm1+2)*
sizeof(double) ) ) ;
219 int n2n3f = n2f * n3f ;
220 int n2n3c = n2c * n3c ;
235 for (k=0; k<n3f; k++) {
237 int i0 = n2n3f * j + k ;
238 double* ff0 = ff + i0 ;
241 double* cf0 = cf + i0 ;
249 double fmoins0 = 0.5 * ( ff0[0] - ff0[ n3f*nm1 ] );
253 for ( i = 1; i < nm1s2 ; i++ ) {
259 int ixsym = n3f * isym ;
261 double fp = 0.5 * ( ff0[ix] + ff0[ixsym] ) ;
263 double fms = 0.5 * ( ff0[ix] - ff0[ixsym] ) * sinp[i] ;
268 g[0] = 0.5 * ( ff0[0] + ff0[ n3f*nm1 ] );
269 g[nm1s2] = ff0[ n3f*nm1s2 ];
274 F77_fft991( g, t1, trigo, facto, &inc, &jump, &nm1, &lot, &isign) ;
283 for (i=2; i<nm1; i += 2 ) cf0[n3c*i] = 2.* g[i] ;
284 cf0[n3c*nm1] = g[nm1] ;
294 for ( i = 3; i < nt; i += 2 ) {
295 cf0[n3c*i] = cf0[n3c*(i-2)] + 4. * g[i] ;
300 double c1 = ( fmoins0 - som ) / nm1s2 ;
304 for ( i = 3; i < nt; i += 2 ) cf0[n3c*i] += c1 ;
315 if ( (j != 1) && (j != n1f-1 ) ) {
318 for (k=0; k<n3f; k++) {
320 int i0 = n2n3f * j + k ;
321 double* ff0 = ff + i0 ;
324 double* cf0 = cf + i0 ;
332 double fmoins0 = 0.5 * ( ff0[0] - ff0[ n3f*nm1 ] );
336 for ( i = 1; i < nm1s2 ; i++ ) {
342 int ixsym = n3f * isym ;
344 double fp = 0.5 * ( ff0[ix] + ff0[ixsym] ) ;
346 double fms = 0.5 * ( ff0[ix] - ff0[ixsym] ) * sinp[i] ;
351 g[0] = 0.5 * ( ff0[0] + ff0[ n3f*nm1 ] );
352 g[nm1s2] = ff0[ n3f*nm1s2 ];
357 F77_fft991( g, t1, trigo, facto, &inc, &jump, &nm1, &lot, &isign) ;
366 for (i=2; i<nm1; i += 2 ) cf0[n3c*i] = 2.* g[i] ;
367 cf0[n3c*nm1] = g[nm1] ;
377 for ( i = 3; i < nt; i += 2 ) {
378 cf0[n3c*i] = cf0[n3c*(i-2)] + 4. * g[i] ;
383 double c1 = ( fmoins0 - som ) / nm1s2 ;
387 for ( i = 3; i < nt; i += 2 ) cf0[n3c*i] += c1 ;
418 for (k=0; k<n3f; k++) {
420 int i0 = n2n3f * j + k ;
421 double* ff0 = ff + i0 ;
424 double* cf0 = cf + i0 ;
433 for (i=1; i<nt; i++) cf0[n3c*i] = sinth[i] * ff0[n3f*i] ;
441 double fmoins0 = 0.5 * ( cf0[0] - cf0[ n3c*nm1 ] );
445 for ( i = 1; i < nm1s2 ; i++ ) {
451 int ixsym = n3c * isym ;
453 double fp = 0.5 * ( cf0[ix] + cf0[ixsym] ) ;
455 double fms = 0.5 * ( cf0[ix] - cf0[ixsym] ) * sinp[i] ;
460 g[0] = 0.5 * ( cf0[0] + cf0[ n3c*nm1 ] );
461 g[nm1s2] = cf0[ n3c*nm1s2 ];
466 F77_fft991( g, t1, trigo, facto, &inc, &jump, &nm1, &lot, &isign) ;
475 for (i=2; i<nm1; i += 2 ) cf0[n3c*i] = 2.* g[i] ;
476 cf0[n3c*nm1] = g[nm1] ;
486 for ( i = 3; i < nt; i += 2 ) {
487 cf0[n3c*i] = cf0[n3c*(i-2)] + 4. * g[i] ;
492 double c1 = ( fmoins0 - som ) / nm1s2 ;
496 for ( i = 3; i < nt; i += 2 ) cf0[n3c*i] += c1 ;
502 for (i=1; i<nm1; i++) {
503 cf0[n3c*i] = 2 * cf0[n3c*i] + cf0[n3c*(i-1)] ;
519 for (k=0; k<n3f; k++) {
521 int i0 = n2n3f * j + k ;
522 double* ff0 = ff + i0 ;
525 double* cf0 = cf + i0 ;
534 for (i=1; i<nt; i++) cf0[n3c*i] = sinth[i] * ff0[n3f*i] ;
542 double fmoins0 = 0.5 * ( cf0[0] - cf0[ n3c*nm1 ] );
546 for ( i = 1; i < nm1s2 ; i++ ) {
552 int ixsym = n3c * isym ;
554 double fp = 0.5 * ( cf0[ix] + cf0[ixsym] ) ;
556 double fms = 0.5 * ( cf0[ix] - cf0[ixsym] ) * sinp[i] ;
561 g[0] = 0.5 * ( cf0[0] + cf0[ n3c*nm1 ] );
562 g[nm1s2] = cf0[ n3c*nm1s2 ];
567 F77_fft991( g, t1, trigo, facto, &inc, &jump, &nm1, &lot, &isign) ;
576 for (i=2; i<nm1; i += 2 ) cf0[n3c*i] = 2.* g[i] ;
577 cf0[n3c*nm1] = g[nm1] ;
587 for ( i = 3; i < nt; i += 2 ) {
588 cf0[n3c*i] = cf0[n3c*(i-2)] + 4. * g[i] ;
593 double c1 = ( fmoins0 - som ) / nm1s2 ;
597 for ( i = 3; i < nt; i += 2 ) cf0[n3c*i] += c1 ;
603 for (i=1; i<nm1; i++) {
604 cf0[n3c*i] = 2 * cf0[n3c*i] + cf0[n3c*(i-1)] ;