23char citcossins_C[] =
"$Header: /cvsroot/Lorene/C++/Source/Non_class_members/Coef/FFT991/citcossins.C,v 1.4 2014/10/15 12:48:22 j_novak Exp $" ;
114#include "proto_f77.h"
118int* facto_ini(
int ) ;
119double* trigo_ini(
int ) ;
120double* cheb_ini(
const int) ;
121double* chebimp_ini(
const int ) ;
124void citcossins(
const int* deg,
const int* dimc,
double* cf,
const int* dimf,
143 cout <<
"citcossins: nt > n2f : nt = " << nt <<
" , n2f = "
149 cout <<
"citcossins: nt > n2c : nt = " << nt <<
" , n2c = "
155 cout <<
"citcossins: n1c > n1f : n1c = " << n1c <<
" , n1f = "
161 cout <<
"citcossins: n3c > n3f : n3c = " << n3c <<
" , n3f = "
172 int* facto = facto_ini(nm1) ;
173 double* trigo = trigo_ini(nm1) ;
176 double* sinp = cheb_ini(nt);
179 double* sinth = chebimp_ini(nt);
183 double* g = (
double*)( malloc( (nm1+2)*
sizeof(
double) ) ) ;
184 double* t1 = (
double*)( malloc( (nm1+2)*
sizeof(double) ) ) ;
195 int n2n3f = n2f * n3f ;
196 int n2n3c = n2c * n3c ;
211 for (k=0; k<n3c; k++) {
213 int i0 = n2n3c * j + k ;
214 double* cf0 = cf + i0 ;
217 double* ff0 = ff + i0 ;
223 for (i=2; i<nm1; i += 2 ) g[i+1] = -0.5 * cf0[ n3c*i ] ;
230 g[0] = .5 * cf0[n3c] ;
231 for ( i = 3; i < nt; i += 2 ) {
232 g[i-1] = .25 * ( cf0[ n3c*i ] - cf0[ n3c*(i-2) ] ) ;
234 g[nm1] = - .5 * cf0[ n3c*(nt-2) ] ;
240 F77_fft991( g, t1, trigo, facto, &inc, &jump, &nm1, &lot, &isign) ;
245 for ( i = 1; i < nm1s2 ; i++ ) {
249 double fp = 0.5 * ( g[i] + g[isym] ) / sinp[i] ;
250 double fm = 0.5 * ( g[i] - g[isym] ) ;
251 ff0[ n3f*i ] = fp + fm ;
252 ff0[ n3f*isym ] = fp - fm ;
257 ff0[ n3f*nm1 ] = -2*g[0] ;
258 ff0[ n3f*nm1s2 ] = g[nm1s2] ;
273 for (k=0; k<n3c; k++) {
275 int i0 = n2n3c * j + k ;
276 double* cf0 = cf + i0 ;
279 double* ff0 = ff + i0 ;
285 for (i=2; i<nm1; i += 2 ) g[i+1] = -0.5 * cf0[ n3c*i ] ;
292 g[0] = .5 * cf0[n3c] ;
293 for ( i = 3; i < nt; i += 2 ) {
294 g[i-1] = .25 * ( cf0[ n3c*i ] - cf0[ n3c*(i-2) ] ) ;
296 g[nm1] = - .5 * cf0[ n3c*(nt-2) ] ;
302 F77_fft991( g, t1, trigo, facto, &inc, &jump, &nm1, &lot, &isign) ;
307 for ( i = 1; i < nm1s2 ; i++ ) {
311 double fp = 0.5 * ( g[i] + g[isym] ) / sinp[i] ;
312 double fm = 0.5 * ( g[i] - g[isym] ) ;
313 ff0[ n3f*i ] = fp + fm ;
314 ff0[ n3f*isym ] = fp - fm ;
319 ff0[ n3f*nm1 ] = -2*g[0] ;
320 ff0[ n3f*nm1s2 ] = g[nm1s2] ;
352 for (k=0; k<n3c; k++) {
354 int i0 = n2n3c * j + k ;
355 double* cf0 = cf + i0 ;
358 double* ff0 = ff + i0 ;
364 double c1 = cf0[n3c] ;
368 for ( i = 3; i < nt; i += 2 ) {
369 ff0[ n3f*i ] = cf0[ n3c*i ] - c1 ;
370 som += ff0[ n3f*i ] ;
374 double fmoins0 = nm1s2 * c1 + som ;
380 for ( i = 3; i < nt; i += 2 ) {
381 g[i] = 0.25 * ( ff0[ n3f*i ] - ff0[ n3f*(i-2) ] ) ;
394 for (i=2; i<nm1; i += 2 ) g[i] = 0.5 * cf0[ n3c*i ] ;
395 g[nm1] = cf0[ n3c*nm1 ] ;
401 F77_fft991( g, t1, trigo, facto, &inc, &jump, &nm1, &lot, &isign) ;
406 for ( i = 1; i < nm1s2 ; i++ ) {
410 double fp = 0.5 * ( g[i] + g[isym] ) ;
411 double fm = 0.5 * ( g[i] - g[isym] ) / sinp[i] ;
412 ff0[ n3f*i ] = fp + fm ;
413 ff0[ n3f*isym ] = fp - fm ;
417 ff0[0] = g[0] + fmoins0 ;
418 ff0[ n3f*nm1 ] = g[0] - fmoins0 ;
419 ff0[ n3f*nm1s2 ] = g[nm1s2] ;
430 if ( (j != 1) && (j != n1f-1 ) ) {
434 for (k=0; k<n3c; k++) {
436 int i0 = n2n3c * j + k ;
437 double* cf0 = cf + i0 ;
440 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 ;
461 for ( i = 3; i < nt; i += 2 ) {
462 g[i] = 0.25 * ( ff0[ n3f*i ] - ff0[ n3f*(i-2) ] ) ;
475 for (i=2; i<nm1; i += 2 ) g[i] = 0.5 * cf0[ n3c*i ] ;
476 g[nm1] = cf0[ n3c*nm1 ] ;
482 F77_fft991( g, t1, trigo, facto, &inc, &jump, &nm1, &lot, &isign) ;
487 for ( i = 1; i < nm1s2 ; i++ ) {
491 double fp = 0.5 * ( g[i] + g[isym] ) ;
492 double fm = 0.5 * ( g[i] - g[isym] ) / sinp[i] ;
493 ff0[ n3f*i ] = fp + fm ;
494 ff0[ n3f*isym ] = fp - fm ;
498 ff0[0] = g[0] + fmoins0 ;
499 ff0[ n3f*nm1 ] = g[0] - fmoins0 ;
500 ff0[ n3f*nm1s2 ] = g[nm1s2] ;