23char cfrchebpimi_C[] =
"$Header: /cvsroot/Lorene/C++/Source/Non_class_members/Coef/FFT991/cfrchebpimi.C,v 1.4 2014/10/15 12:48:20 j_novak Exp $" ;
142#include "proto_f77.h"
146int* facto_ini(
int ) ;
147double* trigo_ini(
int ) ;
148double* cheb_ini(
const int) ;
149double* chebimp_ini(
const int ) ;
153void cfrchebpimi(
const int* deg,
const int* dimf,
double* ff,
const int* dimc,
173 cout <<
"cfrchebpimi: nr > n3f : nr = " << nr <<
" , n3f = "
179 cout <<
"cfrchebpimi: nr > n3c : nr = " << nr <<
" , n3c = "
185 cout <<
"cfrchebpimi: n1f > n1c : n1f = " << n1f <<
" , n1c = "
191 cout <<
"cfrchebpimi: n2f > n2c : n2f = " << n2f <<
" , n2c = "
202 int* facto = facto_ini(nm1) ;
203 double* trigo = trigo_ini(nm1) ;
206 double* sinp = cheb_ini(nr);
209 double* x = chebimp_ini(nr);
213 double* g = (
double*)( malloc( (nm1+2)*
sizeof(
double) ) );
214 double* t1 = (
double*)( malloc( (nm1+2)*
sizeof(double) ) ) ;
224 int n2n3f = n2f * n3f ;
225 int n2n3c = n2c * n3c ;
239 for (k=0; k<n2f; k++) {
241 int i0 = n2n3f * j + n3f * k ;
242 double* ff0 = ff + i0 ;
244 i0 = n2n3c * j + n3c * k ;
245 double* cf0 = cf + i0 ;
252 for (i=1; i<nr; i++) cf0[i] = x[i] * ff0[i] ;
260 double fmoins0 = 0.5 * ( cf0[nm1] - cf0[0] );
264 for ( i = 1; i < nm1s2 ; i++ ) {
270 int ixsym = nm1 - isym ;
273 double fp = 0.5 * ( cf0[ix] + cf0[ixsym] ) ;
275 double fms = 0.5 * ( cf0[ix] - cf0[ixsym] ) * sinp[i] ;
280 g[0] = 0.5 * ( cf0[nm1] + cf0[0] );
281 g[nm1s2] = cf0[nm1s2];
286 F77_fft991( g, t1, trigo, facto, &inc, &jump, &nm1, &lot, &isign) ;
296 for (i=2; i<nm1; i += 2 ) cf0[i] = 2. * g[i] ;
307 for ( i = 3; i < nr; i += 2 ) {
308 cf0[i] = cf0[i-2] + 4. * g[i] ;
313 double c1 = ( fmoins0 - som ) / nm1s2 ;
317 for ( i = 3; i < nr; i += 2 ) cf0[i] += c1 ;
323 for (i=1; i<nm1; i++) {
324 cf0[i] = 2 * cf0[i] - cf0[i-1] ;
338 if ( (j != 1) && (j != n1f-1) ) {
342 for (k=0; k<n2f; k++) {
344 int i0 = n2n3f * j + n3f * k ;
345 double* ff0 = ff + i0 ;
347 i0 = n2n3c * j + n3c * k ;
348 double* cf0 = cf + i0 ;
355 for (i=1; i<nr; i++) cf0[i] = x[i] * ff0[i] ;
363 double fmoins0 = 0.5 * ( cf0[nm1] - cf0[0] );
367 for ( i = 1; i < nm1s2 ; i++ ) {
373 int ixsym = nm1 - isym ;
376 double fp = 0.5 * ( cf0[ix] + cf0[ixsym] ) ;
378 double fms = 0.5 * ( cf0[ix] - cf0[ixsym] ) * sinp[i] ;
383 g[0] = 0.5 * ( cf0[nm1] + cf0[0] );
384 g[nm1s2] = cf0[nm1s2];
389 F77_fft991( g, t1, trigo, facto, &inc, &jump, &nm1, &lot, &isign) ;
399 for (i=2; i<nm1; i += 2 ) cf0[i] = 2. * g[i] ;
410 for ( i = 3; i < nr; i += 2 ) {
411 cf0[i] = cf0[i-2] + 4. * g[i] ;
416 double c1 = ( fmoins0 - som ) / nm1s2 ;
420 for ( i = 3; i < nr; i += 2 ) cf0[i] += c1 ;
426 for (i=1; i<nm1; i++) {
427 cf0[i] = 2 * cf0[i] - cf0[i-1] ;
459 for (k=0; k<n2f; k++) {
461 int i0 = n2n3f * j + n3f * k ;
462 double* ff0 = ff + i0 ;
464 i0 = n2n3c * j + n3c * k ;
465 double* cf0 = cf + i0 ;
473 double fmoins0 = 0.5 * ( ff0[nm1] - ff0[0] );
477 for ( i = 1; i < nm1s2 ; i++ ) {
483 int ixsym = nm1 - isym ;
486 double fp = 0.5 * ( ff0[ix] + ff0[ixsym] ) ;
488 double fms = 0.5 * ( ff0[ix] - ff0[ixsym] ) * sinp[i] ;
493 g[0] = 0.5 * ( ff0[nm1] + ff0[0] );
494 g[nm1s2] = ff0[nm1s2];
499 F77_fft991( g, t1, trigo, facto, &inc, &jump, &nm1, &lot, &isign) ;
508 for (i=2; i<nm1; i += 2 ) cf0[i] = 2. * g[i] ;
519 for ( i = 3; i < nr; i += 2 ) {
520 cf0[i] = cf0[i-2] + 4. * g[i] ;
525 double c1 = ( fmoins0 - som ) / nm1s2 ;
529 for ( i = 3; i < nr; i += 2 ) cf0[i] += c1 ;
544 for (k=0; k<n2f; k++) {
546 int i0 = n2n3f * j + n3f * k ;
547 double* ff0 = ff + i0 ;
549 i0 = n2n3c * j + n3c * k ;
550 double* cf0 = cf + i0 ;
558 double fmoins0 = 0.5 * ( ff0[nm1] - ff0[0] );
562 for ( i = 1; i < nm1s2 ; i++ ) {
568 int ixsym = nm1 - isym ;
571 double fp = 0.5 * ( ff0[ix] + ff0[ixsym] ) ;
573 double fms = 0.5 * ( ff0[ix] - ff0[ixsym] ) * sinp[i] ;
578 g[0] = 0.5 * ( ff0[nm1] + ff0[0] );
579 g[nm1s2] = ff0[nm1s2];
584 F77_fft991( g, t1, trigo, facto, &inc, &jump, &nm1, &lot, &isign) ;
593 for (i=2; i<nm1; i += 2 ) cf0[i] = 2. * g[i] ;
604 for ( i = 3; i < nr; i += 2 ) {
605 cf0[i] = cf0[i-2] + 4. * g[i] ;
610 double c1 = ( fmoins0 - som ) / nm1s2 ;
614 for ( i = 3; i < nr; i += 2 ) cf0[i] += c1 ;