23char citcossinci_C[] =
"$Header: /cvsroot/Lorene/C++/Source/Non_class_members/Coef/FFT991/citcossinci.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 citcossinci(
const int* deg,
const int* dimc,
double* cf,
const int* dimf,
159 cout <<
"citcossinci: nt > n2f : nt = " << nt <<
" , n2f = "
164 cout <<
"citcossinci: nt > n2c : nt = " << nt <<
" , n2c = "
169 cout <<
"citcossinci: n1c > n1f : n1c = " << n1c <<
" , n1f = "
174 cout <<
"citcossinci: n3c > n3f : n3c = " << n3c <<
" , n3f = "
184 int* facto = facto_ini(nm1) ;
185 double* trigo = trigo_ini(nm1) ;
188 double* sinp = cheb_ini(nt);
191 double* x = chebimp_ini(nt) ;
195 double* g = (
double*)( malloc( (nm1+2)*
sizeof(
double) ) ) ;
196 double* t1 = (
double*)( malloc( (nm1+2)*
sizeof(double) ) ) ;
207 int n2n3f = n2f * n3f ;
208 int n2n3c = n2c * n3c ;
223 for (k=0; k<n3c; k++) {
225 int i0 = n2n3c * j + k ;
226 double* cf0 = cf + i0 ;
229 double* ff0 = ff + i0 ;
234 t1[0] = .5 * cf0[0] ;
235 for (i=1; i<nm1; i++) t1[i] = .5 * ( cf0[n3c*i] + cf0[n3c*(i-1)] ) ;
236 t1[nm1] = .5 * cf0[n3c*(nt-2)] ;
254 for ( i = 3; i < nt; i += 2 ) {
255 ff0[ n3f*i ] = t1[i] - c1 ;
256 som += ff0[ n3f*i ] ;
260 double fmoins0 = nm1s2 * c1 + som ;
266 for ( i = 3; i < nt; i += 2 ) {
267 g[i] = 0.25 * ( ff0[ n3f*i ] - ff0[ n3f*(i-2) ] ) ;
280 for (i=2; i<nm1; i += 2 ) g[i] = 0.5 * t1[i] ;
287 F77_fft991( g, t1, trigo, facto, &inc, &jump, &nm1, &lot, &isign) ;
292 for ( i = 1; i < nm1s2 ; i++ ) {
296 double fp = 0.5 * ( g[i] + g[isym] ) ;
297 double fm = 0.5 * ( g[i] - g[isym] ) / sinp[i] ;
298 ff0[ n3f*i ] = ( fp + fm ) / x[isym] ;
299 ff0[ n3f*isym ] = ( fp - fm ) / x[i] ;
303 ff0[0] = g[0] + fmoins0 ;
305 ff0[ n3f*nm1s2 ] = g[nm1s2] / x[nm1s2] ;
316 if ( (j != 1) && (j != n1f-1 ) ) {
320 for (k=0; k<n3c; k++) {
322 int i0 = n2n3c * j + k ;
323 double* cf0 = cf + i0 ;
326 double* ff0 = ff + i0 ;
331 t1[0] = .5 * cf0[0] ;
332 for (i=1; i<nm1; i++) t1[i] = .5 * ( cf0[n3c*i] + cf0[n3c*(i-1)] ) ;
333 t1[nm1] = .5 * cf0[n3c*(nt-2)] ;
351 for ( i = 3; i < nt; i += 2 ) {
352 ff0[ n3f*i ] = t1[i] - c1 ;
353 som += ff0[ n3f*i ] ;
357 double fmoins0 = nm1s2 * c1 + som ;
363 for ( i = 3; i < nt; i += 2 ) {
364 g[i] = 0.25 * ( ff0[ n3f*i ] - ff0[ n3f*(i-2) ] ) ;
377 for (i=2; i<nm1; i += 2 ) g[i] = 0.5 * t1[i] ;
384 F77_fft991( g, t1, trigo, facto, &inc, &jump, &nm1, &lot, &isign) ;
389 for ( i = 1; i < nm1s2 ; i++ ) {
393 double fp = 0.5 * ( g[i] + g[isym] ) ;
394 double fm = 0.5 * ( g[i] - g[isym] ) / sinp[i] ;
395 ff0[ n3f*i ] = ( fp + fm ) / x[isym] ;
396 ff0[ n3f*isym ] = ( fp - fm ) / x[i] ;
400 ff0[0] = g[0] + fmoins0 ;
402 ff0[ n3f*nm1s2 ] = g[nm1s2] / x[nm1s2] ;
435 for (k=0; k<n3c; k++) {
437 int i0 = n2n3c * j + k ;
438 double* cf0 = cf + i0 ;
441 double* ff0 = ff + i0 ;
462 for (i=2; i<nm1; i += 2 ) g[i+1] = - .5 * cf0[n3c*i] ;
473 g[0] = .5 * cf0[n3c] ;
474 for ( i = 3; i < nt; i += 2 ) {
475 g[i-1] = .25 * ( cf0[ n3c*i ] - cf0[ n3c*(i-2) ] ) ;
477 g[nm1] = - .5 * cf0[ n3c*(nt-2) ] ;
484 F77_fft991( g, t1, trigo, facto, &inc, &jump, &nm1, &lot, &isign) ;
489 for ( i = 1; i < nm1s2 ; i++ ) {
493 double fp = 0.5 * ( g[i] + g[isym] ) / sinp[i] ;
494 double fm = 0.5 * ( g[i] - g[isym] ) ;
495 ff0[ n3f*i ] = fp + fm ;
496 ff0[ n3f*isym ] = fp - fm ;
501 ff0[ n3f*nm1 ] = -2. * g[0] ;
502 ff0[ n3f*nm1s2 ] = g[nm1s2] ;
518 for (k=0; k<n3c; k++) {
520 int i0 = n2n3c * j + k ;
521 double* cf0 = cf + i0 ;
524 double* ff0 = ff + i0 ;
545 for (i=2; i<nm1; i += 2 ) g[i+1] = - .5 * cf0[n3c*i] ;
556 g[0] = .5 * cf0[n3c] ;
557 for ( i = 3; i < nt; i += 2 ) {
558 g[i-1] = .25 * ( cf0[ n3c*i ] - cf0[ n3c*(i-2) ] ) ;
560 g[nm1] = - .5 * cf0[ n3c*(nt-2) ] ;
567 F77_fft991( g, t1, trigo, facto, &inc, &jump, &nm1, &lot, &isign) ;
572 for ( i = 1; i < nm1s2 ; i++ ) {
576 double fp = 0.5 * ( g[i] + g[isym] ) / sinp[i] ;
577 double fm = 0.5 * ( g[i] - g[isym] ) ;
578 ff0[ n3f*i ] = fp + fm ;
579 ff0[ n3f*isym ] = fp - fm ;
584 ff0[ n3f*nm1 ] = -2. * g[0] ;
585 ff0[ n3f*nm1s2 ] = g[nm1s2] ;