23char citcossinsi_C[] =
"$Header: /cvsroot/Lorene/C++/Source/Non_class_members/Coef/FFT991/citcossinsi.C,v 1.4 2014/10/15 12:48:22 j_novak Exp $" ;
130#include "proto_f77.h"
134int* facto_ini(
int ) ;
135double* trigo_ini(
int ) ;
136double* cheb_ini(
const int) ;
137double* chebimp_ini(
const int ) ;
140void citcossinsi(
const int* deg,
const int* dimc,
double* cf,
const int* dimf,
159 cout <<
"citcossinsi: nt > n2f : nt = " << nt <<
" , n2f = "
165 cout <<
"citcossinsi: nt > n2c : nt = " << nt <<
" , n2c = "
171 cout <<
"citcossinsi: n1c > n1f : n1c = " << n1c <<
" , n1f = "
177 cout <<
"citcossinsi: n3c > n3f : n3c = " << n3c <<
" , n3f = "
188 int* facto = facto_ini(nm1) ;
189 double* trigo = trigo_ini(nm1) ;
192 double* sinp = cheb_ini(nt);
195 double* sinth = chebimp_ini(nt);
199 double* g = (
double*)( malloc( (nm1+2)*
sizeof(
double) ) ) ;
200 double* t1 = (
double*)( malloc( (nm1+2)*
sizeof(double) ) ) ;
211 int n2n3f = n2f * n3f ;
212 int n2n3c = n2c * n3c ;
227 for (k=0; k<n3c; k++) {
229 int i0 = n2n3c * j + k ;
230 double* cf0 = cf + i0 ;
233 double* ff0 = ff + i0 ;
238 t1[0] = .5 * cf0[0] ;
239 for (i=1; i<nm1; i++) {
240 t1[i] = .5 * ( cf0[ n3c*i ] - cf0[ n3c*(i-1) ] ) ;
242 t1[nm1] = -.5 * cf0[ n3c*(nt-2) ] ;
260 for ( i = 3; i < nt; i += 2 ) {
261 ff0[ n3f*i ] = t1[i] - c1 ;
262 som += ff0[ n3f*i ] ;
266 double fmoins0 = nm1s2 * c1 + som ;
272 for ( i = 3; i < nt; i += 2 ) {
273 g[i] = 0.25 * ( ff0[ n3f*i ] - ff0[ n3f*(i-2) ] ) ;
286 for (i=2; i<nm1; i += 2 ) g[i] = 0.5 * t1[i] ;
293 F77_fft991( g, t1, trigo, facto, &inc, &jump, &nm1, &lot, &isign) ;
298 for ( i = 1; i < nm1s2 ; i++ ) {
302 double fp = 0.5 * ( g[i] + g[isym] ) ;
303 double fm = 0.5 * ( g[i] - g[isym] ) / sinp[i] ;
304 ff0[ n3f*i ] = ( fp + fm ) / sinth[i] ;
305 ff0[ n3f*isym ] = ( fp - fm ) / sinth[isym] ;
310 ff0[ n3f*nm1 ] = g[0] - fmoins0 ;
311 ff0[ n3f*nm1s2 ] = g[nm1s2] / sinth[nm1s2];
322 if ( (j != 1) && (j != n1f-1 ) ) {
326 for (k=0; k<n3c; k++) {
328 int i0 = n2n3c * j + k ;
329 double* cf0 = cf + i0 ;
332 double* ff0 = ff + i0 ;
337 t1[0] = .5 * cf0[0] ;
338 for (i=1; i<nm1; i++) {
339 t1[i] = .5 * ( cf0[ n3c*i ] - cf0[ n3c*(i-1) ] ) ;
341 t1[nm1] = -.5 * cf0[ n3c*(nt-2) ] ;
359 for ( i = 3; i < nt; i += 2 ) {
360 ff0[ n3f*i ] = t1[i] - c1 ;
361 som += ff0[ n3f*i ] ;
365 double fmoins0 = nm1s2 * c1 + som ;
371 for ( i = 3; i < nt; i += 2 ) {
372 g[i] = 0.25 * ( ff0[ n3f*i ] - ff0[ n3f*(i-2) ] ) ;
385 for (i=2; i<nm1; i += 2 ) g[i] = 0.5 * t1[i] ;
392 F77_fft991( g, t1, trigo, facto, &inc, &jump, &nm1, &lot, &isign) ;
397 for ( i = 1; i < nm1s2 ; i++ ) {
401 double fp = 0.5 * ( g[i] + g[isym] ) ;
402 double fm = 0.5 * ( g[i] - g[isym] ) / sinp[i] ;
403 ff0[ n3f*i ] = ( fp + fm ) / sinth[i] ;
404 ff0[ n3f*isym ] = ( fp - fm ) / sinth[isym] ;
409 ff0[ n3f*nm1 ] = g[0] - fmoins0 ;
410 ff0[ n3f*nm1s2 ] = g[nm1s2] / sinth[nm1s2];
443 for (k=0; k<n3c; k++) {
445 int i0 = n2n3c * j + k ;
446 double* cf0 = cf + i0 ;
449 double* ff0 = ff + i0 ;
463 double c1 = cf0[n3c] ;
467 for ( i = 3; i < nt; i += 2 ) {
468 ff0[ n3f*i ] = cf0[ n3c*i ] - c1 ;
469 som += ff0[ n3f*i ] ;
473 double fmoins0 = nm1s2 * c1 + som ;
479 for ( i = 3; i < nt; i += 2 ) {
480 g[i] = 0.25 * ( ff0[ n3f*i ] - ff0[ n3f*(i-2) ] ) ;
493 for (i=2; i<nm1; i += 2 ) g[i] = 0.5 * cf0[ n3c*i ] ;
494 g[nm1] = cf0[ n3c*nm1 ] ;
500 F77_fft991( g, t1, trigo, facto, &inc, &jump, &nm1, &lot, &isign) ;
505 for ( i = 1; i < nm1s2 ; i++ ) {
509 double fp = 0.5 * ( g[i] + g[isym] ) ;
510 double fm = 0.5 * ( g[i] - g[isym] ) / sinp[i] ;
511 ff0[ n3f*i ] = fp + fm ;
512 ff0[ n3f*isym ] = fp - fm ;
516 ff0[0] = g[0] + fmoins0 ;
517 ff0[ n3f*nm1 ] = g[0] - fmoins0 ;
518 ff0[ n3f*nm1s2 ] = g[nm1s2] ;
534 for (k=0; k<n3c; k++) {
536 int i0 = n2n3c * j + k ;
537 double* cf0 = cf + i0 ;
540 double* ff0 = ff + i0 ;
554 double c1 = cf0[n3c] ;
558 for ( i = 3; i < nt; i += 2 ) {
559 ff0[ n3f*i ] = cf0[ n3c*i ] - c1 ;
560 som += ff0[ n3f*i ] ;
564 double fmoins0 = nm1s2 * c1 + som ;
570 for ( i = 3; i < nt; i += 2 ) {
571 g[i] = 0.25 * ( ff0[ n3f*i ] - ff0[ n3f*(i-2) ] ) ;
584 for (i=2; i<nm1; i += 2 ) g[i] = 0.5 * cf0[ n3c*i ] ;
585 g[nm1] = cf0[ n3c*nm1 ] ;
591 F77_fft991( g, t1, trigo, facto, &inc, &jump, &nm1, &lot, &isign) ;
596 for ( i = 1; i < nm1s2 ; i++ ) {
600 double fp = 0.5 * ( g[i] + g[isym] ) ;
601 double fm = 0.5 * ( g[i] - g[isym] ) / sinp[i] ;
602 ff0[ n3f*i ] = fp + fm ;
603 ff0[ n3f*isym ] = fp - fm ;
607 ff0[0] = g[0] + fmoins0 ;
608 ff0[ n3f*nm1 ] = g[0] - fmoins0 ;
609 ff0[ n3f*nm1s2 ] = g[nm1s2] ;