diff options
Diffstat (limited to 'gsl-1.9/fft/c_pass_2.c')
-rw-r--r-- | gsl-1.9/fft/c_pass_2.c | 98 |
1 files changed, 98 insertions, 0 deletions
diff --git a/gsl-1.9/fft/c_pass_2.c b/gsl-1.9/fft/c_pass_2.c new file mode 100644 index 0000000..b0dac46 --- /dev/null +++ b/gsl-1.9/fft/c_pass_2.c @@ -0,0 +1,98 @@ +/* fft/c_pass_2.c + * + * Copyright (C) 1996, 1997, 1998, 1999, 2000 Brian Gough + * + * This program is free software; you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation; either version 2 of the License, or (at + * your option) any later version. + * + * This program is distributed in the hope that it will be useful, but + * WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program; if not, write to the Free Software + * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA. + */ + +static int +FUNCTION(fft_complex,pass_2) (const BASE in[], + const size_t istride, + BASE out[], + const size_t ostride, + const gsl_fft_direction sign, + const size_t product, + const size_t n, + const TYPE(gsl_complex) twiddle[]) +{ + size_t i = 0, j = 0; + size_t k, k1; + + const size_t factor = 2; + const size_t m = n / factor; + const size_t q = n / product; + const size_t product_1 = product / factor; + const size_t jump = (factor - 1) * product_1; + + for (k = 0; k < q; k++) + { + ATOMIC w_real, w_imag; + + if (k == 0) + { + w_real = 1.0; + w_imag = 0.0; + } + else + { + if (sign == gsl_fft_forward) + { + /* forward tranform */ + w_real = GSL_REAL(twiddle[k - 1]); + w_imag = GSL_IMAG(twiddle[k - 1]); + } + else + { + /* backward tranform: w -> conjugate(w) */ + w_real = GSL_REAL(twiddle[k - 1]); + w_imag = -GSL_IMAG(twiddle[k - 1]); + } + } + + for (k1 = 0; k1 < product_1; k1++) + { + const ATOMIC z0_real = REAL(in,istride,i); + const ATOMIC z0_imag = IMAG(in,istride,i); + + const ATOMIC z1_real = REAL(in,istride,i+m); + const ATOMIC z1_imag = IMAG(in,istride,i+m); + + /* compute x = W(2) z */ + + /* x0 = z0 + z1 */ + const ATOMIC x0_real = z0_real + z1_real; + const ATOMIC x0_imag = z0_imag + z1_imag; + + /* x1 = z0 - z1 */ + const ATOMIC x1_real = z0_real - z1_real; + const ATOMIC x1_imag = z0_imag - z1_imag; + + /* apply twiddle factors */ + + /* out0 = 1 * x0 */ + REAL(out,ostride,j) = x0_real; + IMAG(out,ostride,j) = x0_imag; + + /* out1 = w * x1 */ + REAL(out,ostride,j+product_1) = w_real * x1_real - w_imag * x1_imag; + IMAG(out,ostride,j+product_1) = w_real * x1_imag + w_imag * x1_real; + + i++; + j++; + } + j += jump; + } + return 0; +} |