23char citcossincp_C[] =
"$Header: /cvsroot/Lorene/C++/Source/Non_class_members/Coef/FFT991/citcossincp.C,v 1.4 2014/10/15 12:48:22 j_novak Exp $" ;
114#include "proto_f77.h"
118int* facto_ini(
int ) ;
119double* trigo_ini(
int ) ;
120double* cheb_ini(
const int) ;
121double* chebimp_ini(
const int ) ;
124void citcossincp(
const int* deg,
const int* dimc,
double* cf,
const int* dimf,
143 cout <<
"citcossincp: nt > n2f : nt = " << nt <<
" , n2f = "
149 cout <<
"citcossincp: nt > n2c : nt = " << nt <<
" , n2c = "
155 cout <<
"citcossincp: n1c > n1f : n1c = " << n1c <<
" , n1f = "
161 cout <<
"citcossincp: n3c > n3f : n3c = " << n3c <<
" , n3f = "
172 int* facto = facto_ini(nm1) ;
173 double* trigo = trigo_ini(nm1) ;
176 double* sinp = cheb_ini(nt);
179 double* sinth = chebimp_ini(nt);
183 double* g = (
double*)( malloc( (nm1+2)*
sizeof(
double) ) ) ;
184 double* t1 = (
double*)( malloc( (nm1+2)*
sizeof(double) ) ) ;
195 int n2n3f = n2f * n3f ;
196 int n2n3c = n2c * n3c ;
211 for (k=0; k<n3c; k++) {
213 int i0 = n2n3c * j + k ;
214 double* cf0 = cf + i0 ;
217 double* ff0 = ff + i0 ;
231 double c1 = cf0[n3c] ;
235 for ( i = 3; i < nt; i += 2 ) {
236 ff0[ n3f*i ] = cf0[ n3c*i ] - c1 ;
237 som += ff0[ n3f*i ] ;
241 double fmoins0 = nm1s2 * c1 + som ;
247 for ( i = 3; i < nt; i += 2 ) {
248 g[i] = 0.25 * ( ff0[ n3f*i ] - ff0[ n3f*(i-2) ] ) ;
261 for (i=2; i<nm1; i += 2 ) g[i] = 0.5 * cf0[ n3c*i ] ;
262 g[nm1] = cf0[ n3c*nm1 ] ;
268 F77_fft991( g, t1, trigo, facto, &inc, &jump, &nm1, &lot, &isign) ;
273 for ( i = 1; i < nm1s2 ; i++ ) {
277 double fp = 0.5 * ( g[i] + g[isym] ) ;
278 double fm = 0.5 * ( g[i] - g[isym] ) / sinp[i] ;
279 ff0[ n3f*i ] = fp + fm ;
280 ff0[ n3f*isym ] = fp - fm ;
284 ff0[0] = g[0] + fmoins0 ;
285 ff0[ n3f*nm1 ] = g[0] - fmoins0 ;
286 ff0[ n3f*nm1s2 ] = g[nm1s2] ;
297 if ( (j != 1) && (j != n1f-1 ) ) {
301 for (k=0; k<n3c; k++) {
303 int i0 = n2n3c * j + k ;
304 double* cf0 = cf + i0 ;
307 double* ff0 = ff + i0 ;
321 double c1 = cf0[n3c] ;
325 for ( i = 3; i < nt; i += 2 ) {
326 ff0[ n3f*i ] = cf0[ n3c*i ] - c1 ;
327 som += ff0[ n3f*i ] ;
331 double fmoins0 = nm1s2 * c1 + som ;
337 for ( i = 3; i < nt; i += 2 ) {
338 g[i] = 0.25 * ( ff0[ n3f*i ] - ff0[ n3f*(i-2) ] ) ;
351 for (i=2; i<nm1; i += 2 ) g[i] = 0.5 * cf0[ n3c*i ] ;
352 g[nm1] = cf0[ n3c*nm1 ] ;
358 F77_fft991( g, t1, trigo, facto, &inc, &jump, &nm1, &lot, &isign) ;
363 for ( i = 1; i < nm1s2 ; i++ ) {
367 double fp = 0.5 * ( g[i] + g[isym] ) ;
368 double fm = 0.5 * ( g[i] - g[isym] ) / sinp[i] ;
369 ff0[ n3f*i ] = fp + fm ;
370 ff0[ n3f*isym ] = fp - fm ;
374 ff0[0] = g[0] + fmoins0 ;
375 ff0[ n3f*nm1 ] = g[0] - fmoins0 ;
376 ff0[ n3f*nm1s2 ] = g[nm1s2] ;
409 for (k=0; k<n3c; k++) {
411 int i0 = n2n3c * j + k ;
412 double* cf0 = cf + i0 ;
415 double* ff0 = ff + i0 ;
420 t1[0] = .5 * cf0[0] ;
421 for (i=1; i<nm1; i++) {
422 t1[i] = .5 * ( cf0[ n3c*i ] - cf0[ n3c*(i-1) ] ) ;
424 t1[nm1] = -.5 * cf0[ n3c*(nt-2) ] ;
442 for ( i = 3; i < nt; i += 2 ) {
443 ff0[ n3f*i ] = t1[i] - c1 ;
444 som += ff0[ n3f*i ] ;
448 double fmoins0 = nm1s2 * c1 + som ;
454 for ( i = 3; i < nt; i += 2 ) {
455 g[i] = 0.25 * ( ff0[ n3f*i ] - ff0[ n3f*(i-2) ] ) ;
468 for (i=2; i<nm1; i += 2 ) g[i] = 0.5 * t1[i] ;
475 F77_fft991( g, t1, trigo, facto, &inc, &jump, &nm1, &lot, &isign) ;
480 for ( i = 1; i < nm1s2 ; i++ ) {
484 double fp = 0.5 * ( g[i] + g[isym] ) ;
485 double fm = 0.5 * ( g[i] - g[isym] ) / sinp[i] ;
486 ff0[ n3f*i ] = ( fp + fm ) / sinth[i] ;
487 ff0[ n3f*isym ] = ( fp - fm ) / sinth[isym] ;
492 ff0[ n3f*nm1 ] = g[0] - fmoins0 ;
493 ff0[ n3f*nm1s2 ] = g[nm1s2] / sinth[nm1s2];
508 for (k=0; k<n3c; k++) {
510 int i0 = n2n3c * j + k ;
511 double* cf0 = cf + i0 ;
514 double* ff0 = ff + i0 ;
519 t1[0] = .5 * cf0[0] ;
520 for (i=1; i<nm1; i++) {
521 t1[i] = .5 * ( cf0[ n3c*i ] - cf0[ n3c*(i-1) ] ) ;
523 t1[nm1] = -.5 * cf0[ n3c*(nt-2) ] ;
541 for ( i = 3; i < nt; i += 2 ) {
542 ff0[ n3f*i ] = t1[i] - c1 ;
543 som += ff0[ n3f*i ] ;
547 double fmoins0 = nm1s2 * c1 + som ;
553 for ( i = 3; i < nt; i += 2 ) {
554 g[i] = 0.25 * ( ff0[ n3f*i ] - ff0[ n3f*(i-2) ] ) ;
567 for (i=2; i<nm1; i += 2 ) g[i] = 0.5 * t1[i] ;
574 F77_fft991( g, t1, trigo, facto, &inc, &jump, &nm1, &lot, &isign) ;
579 for ( i = 1; i < nm1s2 ; i++ ) {
583 double fp = 0.5 * ( g[i] + g[isym] ) ;
584 double fm = 0.5 * ( g[i] - g[isym] ) / sinp[i] ;
585 ff0[ n3f*i ] = ( fp + fm ) / sinth[i] ;
586 ff0[ n3f*isym ] = ( fp - fm ) / sinth[isym] ;
591 ff0[ n3f*nm1 ] = g[0] - fmoins0 ;
592 ff0[ n3f*nm1s2 ] = g[nm1s2] / sinth[nm1s2];