23char citcossins_C[] =
"$Header: /cvsroot/Lorene/C++/Source/Non_class_members/Coef/FFTW3/citcossins.C,v 1.3 2014/10/13 08:53:20 j_novak Exp $" ;
114fftw_plan back_fft(
int, Tbl*&) ;
115double* cheb_ini(
const int) ;
118void citcossins(
const int* deg,
const int* dimc,
double* cf,
const int* dimf,
137 cout <<
"citcossins: nt > n2f : nt = " << nt <<
" , n2f = "
143 cout <<
"citcossins: nt > n2c : nt = " << nt <<
" , n2c = "
149 cout <<
"citcossins: n1c > n1f : n1c = " << n1c <<
" , n1f = "
155 cout <<
"citcossins: n3c > n3f : n3c = " << n3c <<
" , n3f = "
167 fftw_plan p = back_fft(nm1, pg) ;
171 double* sinp = cheb_ini(nt);
176 int n2n3f = n2f * n3f ;
177 int n2n3c = n2c * n3c ;
192 for (k=0; k<n3c; k++) {
194 int i0 = n2n3c * j + k ;
195 double* cf0 = cf + i0 ;
198 double* ff0 = ff + i0 ;
203 for (i=2; i<nm1; i += 2 ) g.set(nm1-i/2) = -0.5 * cf0[ n3c*i ] ;
208 g.set(0) = .5 * cf0[n3c] ;
209 for ( i = 3; i < nt; i += 2 ) {
210 g.set(i/2) = .25 * ( cf0[ n3c*i ] - cf0[ n3c*(i-2) ] ) ;
212 g.set(nm1s2) = - .5 * cf0[ n3c*(nt-2) ] ;
223 for ( i = 1; i < nm1s2 ; i++ ) {
227 double fp = 0.5 * ( g(i) + g(isym) ) / sinp[i] ;
228 double fm = 0.5 * ( g(i) - g(isym) ) ;
229 ff0[ n3f*i ] = fp + fm ;
230 ff0[ n3f*isym ] = fp - fm ;
235 ff0[ n3f*nm1 ] = -2*g(0) ;
236 ff0[ n3f*nm1s2 ] = g(nm1s2) ;
249 for (k=0; k<n3c; k++) {
251 int i0 = n2n3c * j + k ;
252 double* cf0 = cf + i0 ;
255 double* ff0 = ff + i0 ;
260 for (i=2; i<nm1; i += 2 ) g.set(nm1-i/2) = -0.5 * cf0[ n3c*i ] ;
265 g.set(0) = .5 * cf0[n3c] ;
266 for ( i = 3; i < nt; i += 2 ) {
267 g.set(i/2) = .25 * ( cf0[ n3c*i ] - cf0[ n3c*(i-2) ] ) ;
269 g.set(nm1s2) = - .5 * cf0[ n3c*(nt-2) ] ;
280 for ( i = 1; i < nm1s2 ; i++ ) {
284 double fp = 0.5 * ( g(i) + g(isym) ) / sinp[i] ;
285 double fm = 0.5 * ( g(i) - g(isym) ) ;
286 ff0[ n3f*i ] = fp + fm ;
287 ff0[ n3f*isym ] = fp - fm ;
292 ff0[ n3f*nm1 ] = -2*g(0) ;
293 ff0[ n3f*nm1s2 ] = g(nm1s2) ;
320 for (k=0; k<n3c; k++) {
322 int i0 = n2n3c * j + k ;
323 double* cf0 = cf + i0 ;
326 double* ff0 = ff + i0 ;
332 double c1 = cf0[n3c] ;
336 for ( i = 3; i < nt; i += 2 ) {
337 ff0[ n3f*i ] = cf0[ n3c*i ] - c1 ;
338 som += ff0[ n3f*i ] ;
342 double fmoins0 = nm1s2 * c1 + som ;
347 for ( i = 3; i < nt; i += 2 ) {
348 g.set(nm1-i/2) = 0.25 * ( ff0[ n3f*i ] - ff0[ n3f*(i-2) ] ) ;
360 for (i=1; i<nm1s2; i++ ) g.set(i) = 0.5 * cf0[ n3c*2*i ] ;
361 g.set(nm1s2) = cf0[ n3c*nm1 ] ;
372 for ( i = 1; i < nm1s2 ; i++ ) {
376 double fp = 0.5 * ( g(i) + g(isym) ) ;
377 double fm = 0.5 * ( g(i) - g(isym) ) / sinp[i] ;
378 ff0[ n3f*i ] = fp + fm ;
379 ff0[ n3f*isym ] = fp - fm ;
383 ff0[0] = g(0) + fmoins0 ;
384 ff0[ n3f*nm1 ] = g(0) - fmoins0 ;
385 ff0[ n3f*nm1s2 ] = g(nm1s2) ;
395 if ( (j != 1) && (j != n1f-1 ) ) {
399 for (k=0; k<n3c; k++) {
401 int i0 = n2n3c * j + k ;
402 double* cf0 = cf + i0 ;
405 double* ff0 = ff + i0 ;
410 double c1 = cf0[n3c] ;
414 for ( i = 3; i < nt; i += 2 ) {
415 ff0[ n3f*i ] = cf0[ n3c*i ] - c1 ;
416 som += ff0[ n3f*i ] ;
420 double fmoins0 = nm1s2 * c1 + som ;
425 for ( i = 3; i < nt; i += 2 ) {
426 g.set(nm1-i/2) = 0.25 * ( ff0[ n3f*i ] - ff0[ n3f*(i-2) ] ) ;
438 for (i=1; i<nm1s2; i++ ) g.set(i) = 0.5 * cf0[ n3c*2*i ] ;
439 g.set(nm1s2) = cf0[ n3c*nm1 ] ;
450 for ( i = 1; i < nm1s2 ; i++ ) {
454 double fp = 0.5 * ( g(i) + g(isym) ) ;
455 double fm = 0.5 * ( g(i) - g(isym) ) / sinp[i] ;
456 ff0[ n3f*i ] = fp + fm ;
457 ff0[ n3f*isym ] = fp - fm ;
461 ff0[0] = g(0) + fmoins0 ;
462 ff0[ n3f*nm1 ] = g(0) - fmoins0 ;
463 ff0[ n3f*nm1s2 ] = g(nm1s2) ;