23char circhebpimp_C[] =
"$Header: /cvsroot/Lorene/C++/Source/Non_class_members/Coef/FFT991/circhebpimp.C,v 1.4 2014/10/15 12:48:21 j_novak Exp $" ;
145#include "proto_f77.h"
149int* facto_ini(
int ) ;
150double* trigo_ini(
int ) ;
151double* cheb_ini(
const int) ;
152double* chebimp_ini(
const int ) ;
155void circhebpimp(
const int* deg,
const int* dimc,
double* cf,
156 const int* dimf,
double* ff)
175 cout <<
"circhebpimp: nr > n3c : nr = " << nr <<
" , n3c = "
181 cout <<
"circhebpimp: nr > n3f : nr = " << nr <<
" , n3f = "
187 cout <<
"circhebpimp: n1c > n1f : n1c = " << n1c <<
" , n1f = "
193 cout <<
"circhebpimp: n2c > n2f : n2c = " << n2c <<
" , n2f = "
204 int* facto = facto_ini(nm1) ;
205 double* trigo = trigo_ini(nm1) ;
208 double* sinp = cheb_ini(nr);
211 double* x = chebimp_ini(nr);
215 double* g = (
double*)( malloc( (nm1+2)*
sizeof(
double) ) ) ;
216 double* t1 = (
double*)( malloc( (nm1+2)*
sizeof(double) ) ) ;
226 int n2n3f = n2f * n3f ;
227 int n2n3c = n2c * n3c ;
242 for (k=0; k<n2c; k++) {
244 int i0 = n2n3c * j + n3c * k ;
245 double* cf0 = cf + i0 ;
247 i0 = n2n3f * j + n3f * k ;
248 double* ff0 = ff + i0 ;
266 for ( i = 3; i < nr; i += 2 ) {
267 ff0[i] = cf0[i] - c1 ;
272 double fmoins0 = nm1s2 * c1 + som ;
278 for ( i = 3; i < nr; i += 2 ) {
279 g[i] = 0.25 * ( ff0[i] - ff0[i-2] ) ;
292 for (i=2; i<nm1; i += 2 ) g[i] = 0.5 * cf0[i] ;
299 F77_fft991( g, t1, trigo, facto, &inc, &jump, &nm1, &lot, &isign) ;
304 for ( i = 1; i < nm1s2 ; i++ ) {
310 int ixsym = nm1 - isym ;
312 double fp = .5 * ( g[i] + g[isym] ) ;
313 double fm = .5 * ( g[i] - g[isym] ) / sinp[i] ;
316 ff0[ixsym] = fp - fm ;
320 ff0[0] = g[0] - fmoins0 ;
321 ff0[nm1] = g[0] + fmoins0 ;
322 ff0[nm1s2] = g[nm1s2] ;
332 if ( (j != 1) && (j != n1f-1) ) {
336 for (k=0; k<n2c; k++) {
338 int i0 = n2n3c * j + n3c * k ;
339 double* cf0 = cf + i0 ;
341 i0 = n2n3f * j + n3f * k ;
342 double* ff0 = ff + i0 ;
360 for ( i = 3; i < nr; i += 2 ) {
361 ff0[i] = cf0[i] - c1 ;
366 double fmoins0 = nm1s2 * c1 + som ;
372 for ( i = 3; i < nr; i += 2 ) {
373 g[i] = 0.25 * ( ff0[i] - ff0[i-2] ) ;
386 for (i=2; i<nm1; i += 2 ) g[i] = 0.5 * cf0[i] ;
393 F77_fft991( g, t1, trigo, facto, &inc, &jump, &nm1, &lot, &isign) ;
398 for ( i = 1; i < nm1s2 ; i++ ) {
404 int ixsym = nm1 - isym ;
406 double fp = .5 * ( g[i] + g[isym] ) ;
407 double fm = .5 * ( g[i] - g[isym] ) / sinp[i] ;
410 ff0[ixsym] = fp - fm ;
414 ff0[0] = g[0] - fmoins0 ;
415 ff0[nm1] = g[0] + fmoins0 ;
416 ff0[nm1s2] = g[nm1s2] ;
447 for (k=0; k<n2c; k++) {
449 int i0 = n2n3c * j + n3c * k ;
450 double* cf0 = cf + i0 ;
452 i0 = n2n3f * j + n3f * k ;
453 double* ff0 = ff + i0 ;
458 t1[0] = .5 * cf0[0] ;
459 for (i=1; i<nm1; i++) t1[i] = .5 * ( cf0[i] + cf0[i-1] ) ;
460 t1[nm1] = .5 * cf0[nr-2] ;
478 for ( i = 3; i < nr; i += 2 ) {
479 ff0[i] = t1[i] - c1 ;
484 double fmoins0 = nm1s2 * c1 + som ;
490 for ( i = 3; i < nr; i += 2 ) {
491 g[i] = 0.25 * ( ff0[i] - ff0[i-2] ) ;
504 for (i=2; i<nm1; i += 2 ) g[i] = 0.5 * t1[i] ;
511 F77_fft991( g, t1, trigo, facto, &inc, &jump, &nm1, &lot, &isign) ;
516 for ( i = 1; i < nm1s2 ; i++ ) {
522 int ixsym = nm1 - isym ;
524 double fp = .5 * ( g[i] + g[isym] ) ;
525 double fm = .5 * ( g[i] - g[isym] ) / sinp[i] ;
527 ff0[ix] = ( fp + fm ) / x[ix];
528 ff0[ixsym] = ( fp - fm ) / x[ixsym] ;
533 ff0[nm1] = g[0] + fmoins0 ;
534 ff0[nm1s2] = g[nm1s2] / x[nm1s2] ;
548 for (k=0; k<n2c; k++) {
550 int i0 = n2n3c * j + n3c * k ;
551 double* cf0 = cf + i0 ;
553 i0 = n2n3f * j + n3f * k ;
554 double* ff0 = ff + i0 ;
559 t1[0] = .5 * cf0[0] ;
560 for (i=1; i<nm1; i++) t1[i] = .5 * ( cf0[i] + cf0[i-1] ) ;
561 t1[nm1] = .5 * cf0[nr-2] ;
579 for ( i = 3; i < nr; i += 2 ) {
580 ff0[i] = t1[i] - c1 ;
585 double fmoins0 = nm1s2 * c1 + som ;
591 for ( i = 3; i < nr; i += 2 ) {
592 g[i] = 0.25 * ( ff0[i] - ff0[i-2] ) ;
605 for (i=2; i<nm1; i += 2 ) g[i] = 0.5 * t1[i] ;
612 F77_fft991( g, t1, trigo, facto, &inc, &jump, &nm1, &lot, &isign) ;
617 for ( i = 1; i < nm1s2 ; i++ ) {
623 int ixsym = nm1 - isym ;
625 double fp = .5 * ( g[i] + g[isym] ) ;
626 double fm = .5 * ( g[i] - g[isym] ) / sinp[i] ;
628 ff0[ix] = ( fp + fm ) / x[ix];
629 ff0[ixsym] = ( fp - fm ) / x[ixsym] ;
634 ff0[nm1] = g[0] + fmoins0 ;
635 ff0[nm1s2] = g[nm1s2] / x[nm1s2] ;