23char cftcossinsp_C[] =
"$Header: /cvsroot/Lorene/C++/Source/Non_class_members/Coef/FFT991/cftcossinsp.C,v 1.4 2014/10/15 12:48:21 j_novak Exp $" ;
134#include "proto_f77.h"
138int* facto_ini(
int ) ;
139double* trigo_ini(
int ) ;
140double* cheb_ini(
const int) ;
141double* chebimp_ini(
const int ) ;
144void cftcossinsp(
const int* deg,
const int* dimf,
double* ff,
const int* dimc,
163 cout <<
"cftcossinsp: nt > n2f : nt = " << nt <<
" , n2f = "
169 cout <<
"cftcossinsp: nt > n2c : nt = " << nt <<
" , n2c = "
175 cout <<
"cftcossinsp: n1f > n1c : n1f = " << n1f <<
" , n1c = "
181 cout <<
"cftcossinsp: n3f > n3c : n3f = " << n3f <<
" , n3c = "
192 int* facto = facto_ini(nm1) ;
193 double* trigo = trigo_ini(nm1) ;
196 double* sinp = cheb_ini(nt);
199 double* x = chebimp_ini(nt);
203 double* g = (
double*)( malloc( (nm1+2)*
sizeof(
double) ) );
204 double* t1 = (
double*)( malloc( (nm1+2)*
sizeof(double) ) ) ;
215 int n2n3f = n2f * n3f ;
216 int n2n3c = n2c * n3c ;
231 for (k=0; k<n3f; k++) {
233 int i0 = n2n3f * j + k ;
234 double* ff0 = ff + i0 ;
237 double* cf0 = cf + i0 ;
246 for ( i = 1; i < nm1s2 ; i++ ) {
252 int ixsym = n3f * isym ;
254 double fps = 0.5 * ( ff0[ix] + ff0[ixsym] ) * sinp[i] ;
256 double fm = 0.5 * ( ff0[ix] - ff0[ixsym] ) ;
261 g[0] = 0.5 * ( ff0[0] - ff0[ n3f*nm1 ] ) ;
262 g[nm1s2] = ff0[ n3f*nm1s2 ] ;
267 F77_fft991( g, t1, trigo, facto, &inc, &jump, &nm1, &lot, &isign) ;
277 for (i=2; i<nm1; i += 2 ) cf0[n3c*i] = -2. * g[i+1] ;
288 cf0[n3c] = 2.* g[0] ;
289 for ( i = 3; i < nt; i += 2 ) {
290 cf0[ n3c*i ] = cf0[ n3c*(i-2) ] + 4. * g[i-1] ;
301 if ( (j != 1) && (j != n1f-1 ) ) {
305 for (k=0; k<n3f; k++) {
307 int i0 = n2n3f * j + k ;
308 double* ff0 = ff + i0 ;
311 double* cf0 = cf + i0 ;
320 for ( i = 1; i < nm1s2 ; i++ ) {
326 int ixsym = n3f * isym ;
328 double fps = 0.5 * ( ff0[ix] + ff0[ixsym] ) * sinp[i] ;
330 double fm = 0.5 * ( ff0[ix] - ff0[ixsym] ) ;
335 g[0] = 0.5 * ( ff0[0] - ff0[ n3f*nm1 ] ) ;
336 g[nm1s2] = ff0[ n3f*nm1s2 ] ;
341 F77_fft991( g, t1, trigo, facto, &inc, &jump, &nm1, &lot, &isign) ;
351 for (i=2; i<nm1; i += 2 ) cf0[n3c*i] = -2. * g[i+1] ;
362 cf0[n3c] = 2.* g[0] ;
363 for ( i = 3; i < nt; i += 2 ) {
364 cf0[ n3c*i ] = cf0[ n3c*(i-2) ] + 4. * g[i-1] ;
396 for (k=0; k<n3f; k++) {
398 int i0 = n2n3f * j + k ;
399 double* ff0 = ff + i0 ;
402 double* cf0 = cf + i0 ;
408 for (i=0; i<nt-1; i++) cf0[n3c*i] = x[nm1-i] * ff0[n3f*i] ;
417 double fmoins0 = 0.5 * ( cf0[0] - cf0[ n3c*nm1 ] );
421 for ( i = 1; i < nm1s2 ; i++ ) {
427 int ixsym = n3c * isym ;
429 double fp = 0.5 * ( cf0[ix] + cf0[ixsym] ) ;
431 double fms = 0.5 * ( cf0[ix] - cf0[ixsym] ) * sinp[i] ;
436 g[0] = 0.5 * ( cf0[0] + cf0[ n3c*nm1 ] );
437 g[nm1s2] = cf0[ n3c*nm1s2 ];
442 F77_fft991( g, t1, trigo, facto, &inc, &jump, &nm1, &lot, &isign) ;
452 for (i=2; i<nm1; i += 2 ) cf0[n3c*i] = 2.* g[i] ;
453 cf0[n3c*nm1] = g[nm1] ;
463 for ( i = 3; i < nt; i += 2 ) {
464 cf0[n3c*i] = cf0[n3c*(i-2)] + 4. * g[i] ;
469 double c1 = ( fmoins0 - som ) / nm1s2 ;
473 for ( i = 3; i < nt; i += 2 ) cf0[n3c*i] += c1 ;
480 for (i=1; i<nm1; i++) {
481 cf0[n3c*i] = 2 * cf0[n3c*i] - cf0[n3c*(i-1)] ;
497 for (k=0; k<n3f; k++) {
499 int i0 = n2n3f * j + k ;
500 double* ff0 = ff + i0 ;
503 double* cf0 = cf + i0 ;
509 for (i=0; i<nt-1; i++) cf0[n3c*i] = x[nm1-i] * ff0[n3f*i] ;
518 double fmoins0 = 0.5 * ( cf0[0] - cf0[ n3c*nm1 ] );
522 for ( i = 1; i < nm1s2 ; i++ ) {
528 int ixsym = n3c * isym ;
530 double fp = 0.5 * ( cf0[ix] + cf0[ixsym] ) ;
532 double fms = 0.5 * ( cf0[ix] - cf0[ixsym] ) * sinp[i] ;
537 g[0] = 0.5 * ( cf0[0] + cf0[ n3c*nm1 ] );
538 g[nm1s2] = cf0[ n3c*nm1s2 ];
543 F77_fft991( g, t1, trigo, facto, &inc, &jump, &nm1, &lot, &isign) ;
553 for (i=2; i<nm1; i += 2 ) cf0[n3c*i] = 2.* g[i] ;
554 cf0[n3c*nm1] = g[nm1] ;
564 for ( i = 3; i < nt; i += 2 ) {
565 cf0[n3c*i] = cf0[n3c*(i-2)] + 4. * g[i] ;
570 double c1 = ( fmoins0 - som ) / nm1s2 ;
574 for ( i = 3; i < nt; i += 2 ) cf0[n3c*i] += c1 ;
581 for (i=1; i<nm1; i++) {
582 cf0[n3c*i] = 2 * cf0[n3c*i] - cf0[n3c*(i-1)] ;