23char cftcossinsi_C[] =
"$Header: /cvsroot/Lorene/C++/Source/Non_class_members/Coef/FFT991/cftcossinsi.C,v 1.4 2014/10/15 12:48:21 j_novak Exp $" ;
137#include "proto_f77.h"
141int* facto_ini(
int ) ;
142double* trigo_ini(
int ) ;
143double* cheb_ini(
const int) ;
144double* chebimp_ini(
const int ) ;
147void cftcossinsi(
const int* deg,
const int* dimf,
double* ff,
const int* dimc,
166 cout <<
"cftcossinsi: nt > n2f : nt = " << nt <<
" , n2f = "
172 cout <<
"cftcossinsi: nt > n2c : nt = " << nt <<
" , n2c = "
178 cout <<
"cftcossinsi: n1f > n1c : n1f = " << n1f <<
" , n1c = "
184 cout <<
"cftcossinsi: n3f > n3c : n3f = " << n3f <<
" , n3c = "
195 int* facto = facto_ini(nm1) ;
196 double* trigo = trigo_ini(nm1) ;
199 double* sinp = cheb_ini(nt);
202 double* sinth = chebimp_ini(nt);
206 double* g = (
double*)( malloc( (nm1+2)*
sizeof(
double) ) );
207 double* t1 = (
double*)( malloc( (nm1+2)*
sizeof(double) ) ) ;
218 int n2n3f = n2f * n3f ;
219 int n2n3c = n2c * n3c ;
234 for (k=0; k<n3f; k++) {
236 int i0 = n2n3f * j + k ;
237 double* ff0 = ff + i0 ;
240 double* cf0 = cf + i0 ;
249 for (i=1; i<nt; i++) cf0[n3c*i] = sinth[i] * ff0[n3f*i] ;
257 double fmoins0 = 0.5 * ( cf0[0] - cf0[ n3c*nm1 ] );
261 for ( i = 1; i < nm1s2 ; i++ ) {
267 int ixsym = n3c * isym ;
269 double fp = 0.5 * ( cf0[ix] + cf0[ixsym] ) ;
271 double fms = 0.5 * ( cf0[ix] - cf0[ixsym] ) * sinp[i] ;
276 g[0] = 0.5 * ( cf0[0] + cf0[ n3c*nm1 ] );
277 g[nm1s2] = cf0[ n3c*nm1s2 ];
282 F77_fft991( g, t1, trigo, facto, &inc, &jump, &nm1, &lot, &isign) ;
291 for (i=2; i<nm1; i += 2 ) cf0[n3c*i] = 2.* g[i] ;
292 cf0[n3c*nm1] = g[nm1] ;
302 for ( i = 3; i < nt; i += 2 ) {
303 cf0[n3c*i] = cf0[n3c*(i-2)] + 4. * g[i] ;
308 double c1 = ( fmoins0 - som ) / nm1s2 ;
312 for ( i = 3; i < nt; i += 2 ) cf0[n3c*i] += c1 ;
318 for (i=1; i<nm1; i++) {
319 cf0[n3c*i] = 2 * cf0[n3c*i] + cf0[n3c*(i-1)] ;
331 if ( (j != 1) && (j != n1f-1 ) ) {
335 for (k=0; k<n3f; k++) {
337 int i0 = n2n3f * j + k ;
338 double* ff0 = ff + i0 ;
341 double* cf0 = cf + i0 ;
350 for (i=1; i<nt; i++) cf0[n3c*i] = sinth[i] * ff0[n3f*i] ;
358 double fmoins0 = 0.5 * ( cf0[0] - cf0[ n3c*nm1 ] );
362 for ( i = 1; i < nm1s2 ; i++ ) {
368 int ixsym = n3c * isym ;
370 double fp = 0.5 * ( cf0[ix] + cf0[ixsym] ) ;
372 double fms = 0.5 * ( cf0[ix] - cf0[ixsym] ) * sinp[i] ;
377 g[0] = 0.5 * ( cf0[0] + cf0[ n3c*nm1 ] );
378 g[nm1s2] = cf0[ n3c*nm1s2 ];
383 F77_fft991( g, t1, trigo, facto, &inc, &jump, &nm1, &lot, &isign) ;
392 for (i=2; i<nm1; i += 2 ) cf0[n3c*i] = 2.* g[i] ;
393 cf0[n3c*nm1] = g[nm1] ;
403 for ( i = 3; i < nt; i += 2 ) {
404 cf0[n3c*i] = cf0[n3c*(i-2)] + 4. * g[i] ;
409 double c1 = ( fmoins0 - som ) / nm1s2 ;
413 for ( i = 3; i < nt; i += 2 ) cf0[n3c*i] += c1 ;
419 for (i=1; i<nm1; i++) {
420 cf0[n3c*i] = 2 * cf0[n3c*i] + cf0[n3c*(i-1)] ;
453 for (k=0; k<n3f; k++) {
455 int i0 = n2n3f * j + k ;
456 double* ff0 = ff + i0 ;
459 double* cf0 = cf + i0 ;
467 double fmoins0 = 0.5 * ( ff0[0] - ff0[ n3f*nm1 ] );
471 for ( i = 1; i < nm1s2 ; i++ ) {
477 int ixsym = n3f * isym ;
479 double fp = 0.5 * ( ff0[ix] + ff0[ixsym] ) ;
481 double fms = 0.5 * ( ff0[ix] - ff0[ixsym] ) * sinp[i] ;
486 g[0] = 0.5 * ( ff0[0] + ff0[ n3f*nm1 ] );
487 g[nm1s2] = ff0[ n3f*nm1s2 ];
492 F77_fft991( g, t1, trigo, facto, &inc, &jump, &nm1, &lot, &isign) ;
501 for (i=2; i<nm1; i += 2 ) cf0[n3c*i] = 2.* g[i] ;
502 cf0[n3c*nm1] = g[nm1] ;
512 for ( i = 3; i < nt; i += 2 ) {
513 cf0[n3c*i] = cf0[n3c*(i-2)] + 4. * g[i] ;
518 double c1 = ( fmoins0 - som ) / nm1s2 ;
522 for ( i = 3; i < nt; i += 2 ) cf0[n3c*i] += c1 ;
537 for (k=0; k<n3f; k++) {
539 int i0 = n2n3f * j + k ;
540 double* ff0 = ff + i0 ;
543 double* cf0 = cf + i0 ;
551 double fmoins0 = 0.5 * ( ff0[0] - ff0[ n3f*nm1 ] );
555 for ( i = 1; i < nm1s2 ; i++ ) {
561 int ixsym = n3f * isym ;
563 double fp = 0.5 * ( ff0[ix] + ff0[ixsym] ) ;
565 double fms = 0.5 * ( ff0[ix] - ff0[ixsym] ) * sinp[i] ;
570 g[0] = 0.5 * ( ff0[0] + ff0[ n3f*nm1 ] );
571 g[nm1s2] = ff0[ n3f*nm1s2 ];
576 F77_fft991( g, t1, trigo, facto, &inc, &jump, &nm1, &lot, &isign) ;
585 for (i=2; i<nm1; i += 2 ) cf0[n3c*i] = 2.* g[i] ;
586 cf0[n3c*nm1] = g[nm1] ;
596 for ( i = 3; i < nt; i += 2 ) {
597 cf0[n3c*i] = cf0[n3c*(i-2)] + 4. * g[i] ;
602 double c1 = ( fmoins0 - som ) / nm1s2 ;
606 for ( i = 3; i < nt; i += 2 ) cf0[n3c*i] += c1 ;