23char citcossinsp_C[] =
"$Header: /cvsroot/Lorene/C++/Source/Non_class_members/Coef/FFT991/citcossinsp.C,v 1.4 2014/10/15 12:48:22 j_novak Exp $" ;
131#include "proto_f77.h"
135int* facto_ini(
int ) ;
136double* trigo_ini(
int ) ;
137double* cheb_ini(
const int) ;
138double* chebimp_ini(
const int ) ;
141void citcossinsp(
const int* deg,
const int* dimc,
double* cf,
const int* dimf,
160 cout <<
"citcossinsp: nt > n2f : nt = " << nt <<
" , n2f = "
166 cout <<
"citcossinsp: nt > n2c : nt = " << nt <<
" , n2c = "
172 cout <<
"citcossinsp: n1c > n1f : n1c = " << n1c <<
" , n1f = "
178 cout <<
"citcossinsp: n3c > n3f : n3c = " << n3c <<
" , n3f = "
189 int* facto = facto_ini(nm1) ;
190 double* trigo = trigo_ini(nm1) ;
193 double* sinp = cheb_ini(nt);
196 double* x = chebimp_ini(nt) ;
200 double* g = (
double*)( malloc( (nm1+2)*
sizeof(
double) ) ) ;
201 double* t1 = (
double*)( malloc( (nm1+2)*
sizeof(double) ) ) ;
212 int n2n3f = n2f * n3f ;
213 int n2n3c = n2c * n3c ;
228 for (k=0; k<n3c; k++) {
230 int i0 = n2n3c * j + k ;
231 double* cf0 = cf + i0 ;
234 double* ff0 = ff + i0 ;
255 for (i=2; i<nm1; i += 2 ) g[i+1] = - .5 * cf0[n3c*i] ;
266 g[0] = .5 * cf0[n3c] ;
267 for ( i = 3; i < nt; i += 2 ) {
268 g[i-1] = .25 * ( cf0[ n3c*i ] - cf0[ n3c*(i-2) ] ) ;
270 g[nm1] = - .5 * cf0[ n3c*(nt-2) ] ;
277 F77_fft991( g, t1, trigo, facto, &inc, &jump, &nm1, &lot, &isign) ;
282 for ( i = 1; i < nm1s2 ; i++ ) {
286 double fp = 0.5 * ( g[i] + g[isym] ) / sinp[i] ;
287 double fm = 0.5 * ( g[i] - g[isym] ) ;
288 ff0[ n3f*i ] = fp + fm ;
289 ff0[ n3f*isym ] = fp - fm ;
294 ff0[ n3f*nm1 ] = -2. * g[0] ;
295 ff0[ n3f*nm1s2 ] = g[nm1s2] ;
306 if ( (j != 1) && (j != n1f-1 ) ) {
310 for (k=0; k<n3c; k++) {
312 int i0 = n2n3c * j + k ;
313 double* cf0 = cf + i0 ;
316 double* ff0 = ff + i0 ;
337 for (i=2; i<nm1; i += 2 ) g[i+1] = - .5 * cf0[n3c*i] ;
348 g[0] = .5 * cf0[n3c] ;
349 for ( i = 3; i < nt; i += 2 ) {
350 g[i-1] = .25 * ( cf0[ n3c*i ] - cf0[ n3c*(i-2) ] ) ;
352 g[nm1] = - .5 * cf0[ n3c*(nt-2) ] ;
359 F77_fft991( g, t1, trigo, facto, &inc, &jump, &nm1, &lot, &isign) ;
364 for ( i = 1; i < nm1s2 ; i++ ) {
368 double fp = 0.5 * ( g[i] + g[isym] ) / sinp[i] ;
369 double fm = 0.5 * ( g[i] - g[isym] ) ;
370 ff0[ n3f*i ] = fp + fm ;
371 ff0[ n3f*isym ] = fp - fm ;
376 ff0[ n3f*nm1 ] = -2. * g[0] ;
377 ff0[ n3f*nm1s2 ] = g[nm1s2] ;
410 for (k=0; k<n3c; k++) {
412 int i0 = n2n3c * j + k ;
413 double* cf0 = cf + i0 ;
416 double* ff0 = ff + i0 ;
421 t1[0] = .5 * cf0[0] ;
422 for (i=1; i<nm1; i++) t1[i] = .5 * ( cf0[n3c*i] + cf0[n3c*(i-1)] ) ;
423 t1[nm1] = .5 * cf0[n3c*(nt-2)] ;
441 for ( i = 3; i < nt; i += 2 ) {
442 ff0[ n3f*i ] = t1[i] - c1 ;
443 som += ff0[ n3f*i ] ;
447 double fmoins0 = nm1s2 * c1 + som ;
453 for ( i = 3; i < nt; i += 2 ) {
454 g[i] = 0.25 * ( ff0[ n3f*i ] - ff0[ n3f*(i-2) ] ) ;
467 for (i=2; i<nm1; i += 2 ) g[i] = 0.5 * t1[i] ;
474 F77_fft991( g, t1, trigo, facto, &inc, &jump, &nm1, &lot, &isign) ;
479 for ( i = 1; i < nm1s2 ; i++ ) {
483 double fp = 0.5 * ( g[i] + g[isym] ) ;
484 double fm = 0.5 * ( g[i] - g[isym] ) / sinp[i] ;
485 ff0[ n3f*i ] = ( fp + fm ) / x[isym] ;
486 ff0[ n3f*isym ] = ( fp - fm ) / x[i] ;
490 ff0[0] = g[0] + fmoins0 ;
492 ff0[ n3f*nm1s2 ] = g[nm1s2] / x[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++) t1[i] = .5 * ( cf0[n3c*i] + cf0[n3c*(i-1)] ) ;
521 t1[nm1] = .5 * cf0[n3c*(nt-2)] ;
539 for ( i = 3; i < nt; i += 2 ) {
540 ff0[ n3f*i ] = t1[i] - c1 ;
541 som += ff0[ n3f*i ] ;
545 double fmoins0 = nm1s2 * c1 + som ;
551 for ( i = 3; i < nt; i += 2 ) {
552 g[i] = 0.25 * ( ff0[ n3f*i ] - ff0[ n3f*(i-2) ] ) ;
565 for (i=2; i<nm1; i += 2 ) g[i] = 0.5 * t1[i] ;
572 F77_fft991( g, t1, trigo, facto, &inc, &jump, &nm1, &lot, &isign) ;
577 for ( i = 1; i < nm1s2 ; i++ ) {
581 double fp = 0.5 * ( g[i] + g[isym] ) ;
582 double fm = 0.5 * ( g[i] - g[isym] ) / sinp[i] ;
583 ff0[ n3f*i ] = ( fp + fm ) / x[isym] ;
584 ff0[ n3f*isym ] = ( fp - fm ) / x[i] ;
588 ff0[0] = g[0] + fmoins0 ;
590 ff0[ n3f*nm1s2 ] = g[nm1s2] / x[nm1s2] ;