23char cftcossins_C[] =
"$Header: /cvsroot/Lorene/C++/Source/Non_class_members/Coef/FFT991/cftcossins.C,v 1.4 2014/10/15 12:48:20 j_novak Exp $" ;
118#include "proto_f77.h"
122int* facto_ini(
int ) ;
123double* trigo_ini(
int ) ;
124double* cheb_ini(
const int) ;
125double* chebimp_ini(
const int ) ;
128void cftcossins(
const int* deg,
const int* dimf,
double* ff,
const int* dimc,
147 cout <<
"cftcossins: nt > n2f : nt = " << nt <<
" , n2f = "
153 cout <<
"cftcossins: nt > n2c : nt = " << nt <<
" , n2c = "
159 cout <<
"cftcossins: n1f > n1c : n1f = " << n1f <<
" , n1c = "
165 cout <<
"cftcossins: n3f > n3c : n3f = " << n3f <<
" , n3c = "
176 int* facto = facto_ini(nm1) ;
177 double* trigo = trigo_ini(nm1) ;
180 double* sinp = cheb_ini(nt);
183 double* x = chebimp_ini(nt);
187 double* g = (
double*)( malloc( (nm1+2)*
sizeof(
double) ) );
188 double* t1 = (
double*)( malloc( (nm1+2)*
sizeof(double) ) ) ;
199 int n2n3f = n2f * n3f ;
200 int n2n3c = n2c * n3c ;
215 for (k=0; k<n3f; k++) {
217 int i0 = n2n3f * j + k ;
218 double* ff0 = ff + i0 ;
221 double* cf0 = cf + i0 ;
224 double fmoins0 = 0.5 * ( ff0[0] - ff0[ n3f*nm1 ] );
229 for ( i = 1; i < nm1s2 ; i++ ) {
232 int ixsym = n3f * isym ;
234 double fp = 0.5 * ( ff0[ix] + ff0[ixsym] ) * sinp[i] ;
236 double fms = 0.5 * ( ff0[ix] - ff0[ixsym] ) ;
241 g[0] = 0.5 * ( ff0[0] + ff0[ n3f*nm1 ] );
242 g[nm1s2] = ff0[ n3f*nm1s2 ];
247 F77_fft991( g, t1, trigo, facto, &inc, &jump, &nm1, &lot, &isign) ;
256 for (i=2; i<nm1; i += 2 ) cf0[n3c*i] = -2.* g[i+1] ;
267 for ( i = 3; i < nt; i += 2 ) {
268 cf0[n3c*i] = cf0[n3c*(i-2)] + 4. * g[i-1] ;
283 for (k=0; k<n3f; k++) {
285 int i0 = n2n3f * j + k ;
286 double* ff0 = ff + i0 ;
289 double* cf0 = cf + i0 ;
292 double fmoins0 = 0.5 * ( ff0[0] - ff0[ n3f*nm1 ] );
296 for ( i = 1; i < nm1s2 ; i++ ) {
299 int ixsym = n3f * isym ;
301 double fp = 0.5 * ( ff0[ix] + ff0[ixsym] ) * sinp[i] ;
303 double fms = 0.5 * ( ff0[ix] - ff0[ixsym] ) ;
308 g[0] = 0.5 * ( ff0[0] + ff0[ n3f*nm1 ] );
309 g[nm1s2] = ff0[ n3f*nm1s2 ];
314 F77_fft991( g, t1, trigo, facto, &inc, &jump, &nm1, &lot, &isign) ;
323 for (i=2; i<nm1; i += 2 ) cf0[n3c*i] = -2.* g[i+1] ;
334 for ( i = 3; i < nt; i += 2 ) {
335 cf0[n3c*i] = cf0[n3c*(i-2)] + 4. * g[i-1] ;
369 for (k=0; k<n3f; k++) {
371 int i0 = n2n3f * j + k ;
372 double* ff0 = ff + i0 ;
375 double* cf0 = cf + i0 ;
379 double fmoins0 = 0.5 * ( ff0[0] - ff0[ n3f*nm1 ] );
383 for ( i = 1; i < nm1s2 ; i++ ) {
386 int ixsym = n3f * isym ;
388 double fp = 0.5 * ( ff0[ix] + ff0[ixsym] ) ;
390 double fms = 0.5 * ( ff0[ix] - ff0[ixsym] ) * sinp[i] ;
395 g[0] = 0.5 * ( ff0[0] + ff0[ n3f*nm1 ] );
396 g[nm1s2] = ff0[ n3f*nm1s2 ];
401 F77_fft991( g, t1, trigo, facto, &inc, &jump, &nm1, &lot, &isign) ;
410 for (i=2; i<nm1; i += 2 ) cf0[n3c*i] = 2.* g[i] ;
411 cf0[n3c*nm1] = g[nm1] ;
421 for ( i = 3; i < nt; i += 2 ) {
422 cf0[n3c*i] = cf0[n3c*(i-2)] + 4. * g[i] ;
427 double c1 = ( fmoins0 - som ) / nm1s2 ;
431 for ( i = 3; i < nt; i += 2 ) cf0[n3c*i] += c1 ;
442 if ( (j != 1) && (j != n1f-1 ) ) {
446 for (k=0; k<n3f; k++) {
448 int i0 = n2n3f * j + k ;
449 double* ff0 = ff + i0 ;
452 double* cf0 = cf + i0 ;
456 double fmoins0 = 0.5 * ( ff0[0] - ff0[ n3f*nm1 ] );
460 for ( i = 1; i < nm1s2 ; i++ ) {
463 int ixsym = n3f * isym ;
465 double fp = 0.5 * ( ff0[ix] + ff0[ixsym] ) ;
467 double fms = 0.5 * ( ff0[ix] - ff0[ixsym] ) * sinp[i] ;
472 g[0] = 0.5 * ( ff0[0] + ff0[ n3f*nm1 ] );
473 g[nm1s2] = ff0[ n3f*nm1s2 ];
478 F77_fft991( g, t1, trigo, facto, &inc, &jump, &nm1, &lot, &isign) ;
487 for (i=2; i<nm1; i += 2 ) cf0[n3c*i] = 2.* g[i] ;
488 cf0[n3c*nm1] = g[nm1] ;
498 for ( i = 3; i < nt; i += 2 ) {
499 cf0[n3c*i] = cf0[n3c*(i-2)] + 4. * g[i] ;
504 double c1 = ( fmoins0 - som ) / nm1s2 ;
508 for ( i = 3; i < nt; i += 2 ) cf0[n3c*i] += c1 ;