23char citcossinsp_C[] =
"$Header: /cvsroot/Lorene/C++/Source/Non_class_members/Coef/FFTW3/citcossinsp.C,v 1.4 2014/10/13 08:53:20 j_novak Exp $" ;
134fftw_plan back_fft(
int, Tbl*&) ;
135double* cheb_ini(
const int) ;
136double* chebimp_ini(
const int ) ;
139void citcossinsp(
const int* deg,
const int* dimc,
double* cf,
const int* dimf,
158 cout <<
"citcossinsp: nt > n2f : nt = " << nt <<
" , n2f = "
164 cout <<
"citcossinsp: nt > n2c : nt = " << nt <<
" , n2c = "
169 if ( (n1f > 1) && (n1c > n1f)) {
170 cout <<
"citcossinsp: n1c > n1f : n1c = " << n1c <<
" , n1f = "
176 cout <<
"citcossinsp: n3c > n3f : n3c = " << n3c <<
" , n3f = "
188 fftw_plan p = back_fft(nm1, pg) ;
190 double* t1 =
new double[nt] ;
193 double* sinp = cheb_ini(nt);
196 double* x = chebimp_ini(nt) ;
201 int n2n3f = n2f * n3f ;
202 int n2n3c = n2c * n3c ;
203 int borne_phi = n1f-1 ;
204 if (n1f == 1) borne_phi = 1 ;
212 while (j < borne_phi) {
219 for (k=0; k<n3c; k++) {
221 int i0 = n2n3c * j + k ;
222 double* cf0 = cf + i0 ;
225 double* ff0 = ff + i0 ;
245 for (i=2; i<nm1; i += 2 ) g.set(nm1-i/2) = - .5 * cf0[n3c*i] ;
254 g.set(0) = .5 * cf0[n3c] ;
255 for ( i = 1; i < nm1s2; i++ ) {
256 g.set(i) = .25 * ( cf0[ n3c*(2*i+1) ] - cf0[ n3c*(2*i-1) ] ) ;
258 g.set(nm1s2) = - .5 * cf0[ n3c*(nt-2) ] ;
270 for ( i = 1; i < nm1s2 ; i++ ) {
274 double fp = 0.5 * ( g(i) + g(isym) ) / sinp[i] ;
275 double fm = 0.5 * ( g(i) - g(isym) ) ;
276 ff0[ n3f*i ] = fp + fm ;
277 ff0[ n3f*isym ] = fp - fm ;
282 ff0[ n3f*nm1 ] = -2. * g(0) ;
283 ff0[ n3f*nm1s2 ] = g(nm1s2) ;
293 if ( (j != 1) && (j != borne_phi ) ) {
297 for (k=0; k<n3c; k++) {
299 int i0 = n2n3c * j + k ;
300 double* cf0 = cf + i0 ;
303 double* ff0 = ff + i0 ;
323 for (i=2; i<nm1; i += 2 ) g.set(nm1-i/2) = - .5 * cf0[n3c*i] ;
332 g.set(0) = .5 * cf0[n3c] ;
333 for ( i = 1; i < nm1s2; i++ ) {
334 g.set(i) = .25 * ( cf0[ n3c*(2*i+1) ] - cf0[ n3c*(2*i-1) ] ) ;
336 g.set(nm1s2) = - .5 * cf0[ n3c*(nt-2) ] ;
348 for ( i = 1; i < nm1s2 ; i++ ) {
352 double fp = 0.5 * ( g(i) + g(isym) ) / sinp[i] ;
353 double fm = 0.5 * ( g(i) - g(isym) ) ;
354 ff0[ n3f*i ] = fp + fm ;
355 ff0[ n3f*isym ] = fp - fm ;
360 ff0[ n3f*nm1 ] = -2. * g(0) ;
361 ff0[ n3f*nm1s2 ] = g(nm1s2) ;
385 while (j < borne_phi) {
392 for (k=0; k<n3c; k++) {
394 int i0 = n2n3c * j + k ;
395 double* cf0 = cf + i0 ;
398 double* ff0 = ff + i0 ;
403 t1[0] = .5 * cf0[0] ;
404 for (i=1; i<nm1; i++) t1[i] = .5 * ( cf0[n3c*i] + cf0[n3c*(i-1)] ) ;
405 t1[nm1] = .5 * cf0[n3c*(nt-2)] ;
423 for ( i = 3; i < nt; i += 2 ) {
424 ff0[ n3f*i ] = t1[i] - c1 ;
425 som += ff0[ n3f*i ] ;
429 double fmoins0 = nm1s2 * c1 + som ;
434 for ( i = 3; i < nt; i += 2 ) {
435 g.set(nm1-i/2) = 0.25 * ( ff0[ n3f*i ] - ff0[ n3f*(i-2) ] ) ;
447 for (i=1; i<nm1s2; i++ ) g.set(i) = 0.5 * t1[2*i] ;
448 g.set(nm1s2) = t1[nm1] ;
459 for ( i = 1; i < nm1s2 ; i++ ) {
463 double fp = 0.5 * ( g(i) + g(isym) ) ;
464 double fm = 0.5 * ( g(i) - g(isym) ) / sinp[i] ;
465 ff0[ n3f*i ] = ( fp + fm ) / x[isym] ;
466 ff0[ n3f*isym ] = ( fp - fm ) / x[i] ;
470 ff0[0] = g(0) + fmoins0 ;
472 ff0[ n3f*nm1s2 ] = g(nm1s2) / x[nm1s2] ;
483 if ( j != borne_phi ) {
487 for (k=0; k<n3c; k++) {
489 int i0 = n2n3c * j + k ;
490 double* cf0 = cf + i0 ;
493 double* ff0 = ff + i0 ;
498 t1[0] = .5 * cf0[0] ;
499 for (i=1; i<nm1; i++) t1[i] = .5 * ( cf0[n3c*i] + cf0[n3c*(i-1)] ) ;
500 t1[nm1] = .5 * cf0[n3c*(nt-2)] ;
518 for ( i = 3; i < nt; i += 2 ) {
519 ff0[ n3f*i ] = t1[i] - c1 ;
520 som += ff0[ n3f*i ] ;
524 double fmoins0 = nm1s2 * c1 + som ;
529 for ( i = 3; i < nt; i += 2 ) {
530 g.set(nm1-i/2) = 0.25 * ( ff0[ n3f*i ] - ff0[ n3f*(i-2) ] ) ;
542 for (i=1; i<nm1s2; i++ ) g.set(i) = 0.5 * t1[2*i] ;
543 g.set(nm1s2) = t1[nm1] ;
554 for ( i = 1; i < nm1s2 ; i++ ) {
558 double fp = 0.5 * ( g(i) + g(isym) ) ;
559 double fm = 0.5 * ( g(i) - g(isym) ) / sinp[i] ;
560 ff0[ n3f*i ] = ( fp + fm ) / x[isym] ;
561 ff0[ n3f*isym ] = ( fp - fm ) / x[i] ;
565 ff0[0] = g(0) + fmoins0 ;
567 ff0[ n3f*nm1s2 ] = g(nm1s2) / x[nm1s2] ;