23char citcossinsi_C[] =
"$Header: /cvsroot/Lorene/C++/Source/Non_class_members/Coef/FFTW3/citcossinsi.C,v 1.4 2014/10/13 08:53:20 j_novak Exp $" ;
133fftw_plan back_fft(
int, Tbl*&) ;
134double* cheb_ini(
const int) ;
135double* chebimp_ini(
const int ) ;
138void citcossinsi(
const int* deg,
const int* dimc,
double* cf,
const int* dimf,
157 cout <<
"citcossinsi: nt > n2f : nt = " << nt <<
" , n2f = "
163 cout <<
"citcossinsi: nt > n2c : nt = " << nt <<
" , n2c = "
168 if ( (n1f > 1) && (n1c > n1f)) {
169 cout <<
"citcossinsi: n1c > n1f : n1c = " << n1c <<
" , n1f = "
175 cout <<
"citcossinsi: n3c > n3f : n3c = " << n3c <<
" , n3f = "
187 fftw_plan p = back_fft(nm1, pg) ;
189 double* t1 =
new double[nt] ;
192 double* sinp = cheb_ini(nt);
195 double* sinth = chebimp_ini(nt);
200 int n2n3f = n2f * n3f ;
201 int n2n3c = n2c * n3c ;
203 int borne_phi = n1f-1 ;
204 if (n1f == 1) borne_phi = 1 ;
211 while (j<borne_phi) {
218 for (k=0; k<n3c; k++) {
220 int i0 = n2n3c * j + k ;
221 double* cf0 = cf + i0 ;
224 double* ff0 = ff + i0 ;
229 t1[0] = .5 * cf0[0] ;
230 for (i=1; i<nm1; i++) {
231 t1[i] = .5 * ( cf0[ n3c*i ] - cf0[ n3c*(i-1) ] ) ;
233 t1[nm1] = -.5 * cf0[ n3c*(nt-2) ] ;
251 for ( i = 3; i < nt; i += 2 ) {
252 ff0[ n3f*i ] = t1[i] - c1 ;
253 som += ff0[ n3f*i ] ;
257 double fmoins0 = nm1s2 * c1 + som ;
262 for ( i = 3; i < nt; i += 2 ) {
263 g.set(nm1-i/2) = 0.25 * ( ff0[ n3f*i ] - ff0[ n3f*(i-2) ] ) ;
274 for (i=1; i<nm1s2; i ++ ) g.set(i) = 0.5 * t1[2*i] ;
275 g.set(nm1s2) = t1[nm1] ;
286 for ( i = 1; i < nm1s2 ; i++ ) {
290 double fp = 0.5 * ( g(i) + g(isym) ) ;
291 double fm = 0.5 * ( g(i) - g(isym) ) / sinp[i] ;
292 ff0[ n3f*i ] = ( fp + fm ) / sinth[i] ;
293 ff0[ n3f*isym ] = ( fp - fm ) / sinth[isym] ;
298 ff0[ n3f*nm1 ] = g(0) - fmoins0 ;
299 ff0[ n3f*nm1s2 ] = g(nm1s2) / sinth[nm1s2];
309 if ( (j != 1) && (j != borne_phi ) ) {
313 for (k=0; k<n3c; k++) {
315 int i0 = n2n3c * j + k ;
316 double* cf0 = cf + i0 ;
319 double* ff0 = ff + i0 ;
324 t1[0] = .5 * cf0[0] ;
325 for (i=1; i<nm1; i++) {
326 t1[i] = .5 * ( cf0[ n3c*i ] - cf0[ n3c*(i-1) ] ) ;
328 t1[nm1] = -.5 * cf0[ n3c*(nt-2) ] ;
346 for ( i = 3; i < nt; i += 2 ) {
347 ff0[ n3f*i ] = t1[i] - c1 ;
348 som += ff0[ n3f*i ] ;
352 double fmoins0 = nm1s2 * c1 + som ;
357 for ( i = 3; i < nt; i += 2 ) {
358 g.set(nm1-i/2) = 0.25 * ( ff0[ n3f*i ] - ff0[ n3f*(i-2) ] ) ;
369 for (i=1; i<nm1s2; i ++ ) g.set(i) = 0.5 * t1[2*i] ;
370 g.set(nm1s2) = t1[nm1] ;
381 for ( i = 1; i < nm1s2 ; i++ ) {
385 double fp = 0.5 * ( g(i) + g(isym) ) ;
386 double fm = 0.5 * ( g(i) - g(isym) ) / sinp[i] ;
387 ff0[ n3f*i ] = ( fp + fm ) / sinth[i] ;
388 ff0[ n3f*isym ] = ( fp - fm ) / sinth[isym] ;
393 ff0[ n3f*nm1 ] = g(0) - fmoins0 ;
394 ff0[ n3f*nm1s2 ] = g(nm1s2) / sinth[nm1s2];
418 while (j < borne_phi) {
425 for (k=0; k<n3c; k++) {
427 int i0 = n2n3c * j + k ;
428 double* cf0 = cf + i0 ;
431 double* ff0 = ff + i0 ;
445 double c1 = cf0[n3c] ;
449 for ( i = 3; i < nt; i += 2 ) {
450 ff0[ n3f*i ] = cf0[ n3c*i ] - c1 ;
451 som += ff0[ n3f*i ] ;
455 double fmoins0 = nm1s2 * c1 + som ;
460 for ( i = 3; i < nt; i += 2 ) {
461 g.set(nm1-i/2) = 0.25 * ( ff0[ n3f*i ] - ff0[ n3f*(i-2) ] ) ;
473 for (i=1; i<nm1s2; i++ ) g.set(i) = 0.5 * cf0[ n3c*2*i ] ;
474 g.set(nm1s2) = cf0[ n3c*nm1 ] ;
485 for ( i = 1; i < nm1s2 ; i++ ) {
489 double fp = 0.5 * ( g(i) + g(isym) ) ;
490 double fm = 0.5 * ( g(i) - g(isym) ) / sinp[i] ;
491 ff0[ n3f*i ] = fp + fm ;
492 ff0[ n3f*isym ] = fp - fm ;
496 ff0[0] = g(0) + fmoins0 ;
497 ff0[ n3f*nm1 ] = g(0) - fmoins0 ;
498 ff0[ n3f*nm1s2 ] = g(nm1s2) ;
508 if ( j != borne_phi ) {
512 for (k=0; k<n3c; k++) {
514 int i0 = n2n3c * j + k ;
515 double* cf0 = cf + i0 ;
518 double* ff0 = ff + i0 ;
532 double c1 = cf0[n3c] ;
536 for ( i = 3; i < nt; i += 2 ) {
537 ff0[ n3f*i ] = cf0[ n3c*i ] - c1 ;
538 som += ff0[ n3f*i ] ;
542 double fmoins0 = nm1s2 * c1 + som ;
547 for ( i = 3; i < nt; i += 2 ) {
548 g.set(nm1-i/2) = 0.25 * ( ff0[ n3f*i ] - ff0[ n3f*(i-2) ] ) ;
560 for (i=1; i<nm1s2; i++ ) g.set(i) = 0.5 * cf0[ n3c*2*i ] ;
561 g.set(nm1s2) = cf0[ n3c*nm1 ] ;
572 for ( i = 1; i < nm1s2 ; i++ ) {
576 double fp = 0.5 * ( g(i) + g(isym) ) ;
577 double fm = 0.5 * ( g(i) - g(isym) ) / sinp[i] ;
578 ff0[ n3f*i ] = fp + fm ;
579 ff0[ n3f*isym ] = fp - fm ;
583 ff0[0] = g(0) + fmoins0 ;
584 ff0[ n3f*nm1 ] = g(0) - fmoins0 ;
585 ff0[ n3f*nm1s2 ] = g(nm1s2) ;