23char cftcossinc_C[] =
"$Header: /cvsroot/Lorene/C++/Source/Non_class_members/Coef/FFT991/cftcossinc.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 cftcossinc(
const int* deg,
const int* dimf,
double* ff,
const int* dimc,
147 cout <<
"cftcossinc: nt > n2f : nt = " << nt <<
" , n2f = "
153 cout <<
"cftcossinc: nt > n2c : nt = " << nt <<
" , n2c = "
159 cout <<
"cftcossinc: n1f > n1c : n1f = " << n1f <<
" , n1c = "
165 cout <<
"cftcossinc: 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 ;
216 for (k=0; k<n3f; k++) {
218 int i0 = n2n3f * j + k ;
219 double* ff0 = ff + i0 ;
222 double* cf0 = cf + i0 ;
226 double fmoins0 = 0.5 * ( ff0[0] - ff0[ n3f*nm1 ] );
230 for ( i = 1; i < nm1s2 ; i++ ) {
233 int ixsym = n3f * isym ;
235 double fp = 0.5 * ( ff0[ix] + ff0[ixsym] ) ;
237 double fms = 0.5 * ( ff0[ix] - ff0[ixsym] ) * sinp[i] ;
242 g[0] = 0.5 * ( ff0[0] + ff0[ n3f*nm1 ] );
243 g[nm1s2] = ff0[ n3f*nm1s2 ];
248 F77_fft991( g, t1, trigo, facto, &inc, &jump, &nm1, &lot, &isign) ;
257 for (i=2; i<nm1; i += 2 ) cf0[n3c*i] = 2.* g[i] ;
258 cf0[n3c*nm1] = g[nm1] ;
268 for ( i = 3; i < nt; i += 2 ) {
269 cf0[n3c*i] = cf0[n3c*(i-2)] + 4. * g[i] ;
274 double c1 = ( fmoins0 - som ) / nm1s2 ;
278 for ( i = 3; i < nt; i += 2 ) cf0[n3c*i] += c1 ;
289 if ( (j != 1) && (j != n1f-1 ) ) {
293 for (k=0; k<n3f; k++) {
295 int i0 = n2n3f * j + k ;
296 double* ff0 = ff + i0 ;
299 double* cf0 = cf + i0 ;
303 double fmoins0 = 0.5 * ( ff0[0] - ff0[ n3f*nm1 ] );
307 for ( i = 1; i < nm1s2 ; i++ ) {
310 int ixsym = n3f * isym ;
312 double fp = 0.5 * ( ff0[ix] + ff0[ixsym] ) ;
314 double fms = 0.5 * ( ff0[ix] - ff0[ixsym] ) * sinp[i] ;
319 g[0] = 0.5 * ( ff0[0] + ff0[ n3f*nm1 ] );
320 g[nm1s2] = ff0[ n3f*nm1s2 ];
325 F77_fft991( g, t1, trigo, facto, &inc, &jump, &nm1, &lot, &isign) ;
334 for (i=2; i<nm1; i += 2 ) cf0[n3c*i] = 2.* g[i] ;
335 cf0[n3c*nm1] = g[nm1] ;
345 for ( i = 3; i < nt; i += 2 ) {
346 cf0[n3c*i] = cf0[n3c*(i-2)] + 4. * g[i] ;
351 double c1 = ( fmoins0 - som ) / nm1s2 ;
355 for ( i = 3; i < nt; i += 2 ) cf0[n3c*i] += c1 ;
386 for (k=0; k<n3f; k++) {
388 int i0 = n2n3f * j + k ;
389 double* ff0 = ff + i0 ;
392 double* cf0 = cf + i0 ;
395 double fmoins0 = 0.5 * ( ff0[0] - ff0[ n3f*nm1 ] );
400 for ( i = 1; i < nm1s2 ; i++ ) {
403 int ixsym = n3f * isym ;
405 double fp = 0.5 * ( ff0[ix] + ff0[ixsym] ) * sinp[i] ;
407 double fms = 0.5 * ( ff0[ix] - ff0[ixsym] ) ;
412 g[0] = 0.5 * ( ff0[0] + ff0[ n3f*nm1 ] );
413 g[nm1s2] = ff0[ n3f*nm1s2 ];
418 F77_fft991( g, t1, trigo, facto, &inc, &jump, &nm1, &lot, &isign) ;
427 for (i=2; i<nm1; i += 2 ) cf0[n3c*i] = -2.* g[i+1] ;
438 for ( i = 3; i < nt; i += 2 ) {
439 cf0[n3c*i] = cf0[n3c*(i-2)] + 4. * g[i-1] ;
454 for (k=0; k<n3f; k++) {
456 int i0 = n2n3f * j + k ;
457 double* ff0 = ff + i0 ;
460 double* cf0 = cf + i0 ;
463 double fmoins0 = 0.5 * ( ff0[0] - ff0[ n3f*nm1 ] );
467 for ( i = 1; i < nm1s2 ; i++ ) {
470 int ixsym = n3f * isym ;
472 double fp = 0.5 * ( ff0[ix] + ff0[ixsym] ) * sinp[i] ;
474 double fms = 0.5 * ( ff0[ix] - ff0[ixsym] ) ;
479 g[0] = 0.5 * ( ff0[0] + ff0[ n3f*nm1 ] );
480 g[nm1s2] = ff0[ n3f*nm1s2 ];
485 F77_fft991( g, t1, trigo, facto, &inc, &jump, &nm1, &lot, &isign) ;
494 for (i=2; i<nm1; i += 2 ) cf0[n3c*i] = -2.* g[i+1] ;
505 for ( i = 3; i < nt; i += 2 ) {
506 cf0[n3c*i] = cf0[n3c*(i-2)] + 4. * g[i-1] ;