diff options
Diffstat (limited to 'gsl-1.9/fft/hc_pass_n.c')
-rw-r--r-- | gsl-1.9/fft/hc_pass_n.c | 257 |
1 files changed, 257 insertions, 0 deletions
diff --git a/gsl-1.9/fft/hc_pass_n.c b/gsl-1.9/fft/hc_pass_n.c new file mode 100644 index 0000000..0572744 --- /dev/null +++ b/gsl-1.9/fft/hc_pass_n.c @@ -0,0 +1,257 @@ +/* fft/hc_pass_n.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 void +FUNCTION(fft_halfcomplex,pass_n) (const BASE in[], + const size_t istride, + BASE out[], + const size_t ostride, + const size_t factor, + const size_t product, + const size_t n, + const TYPE(gsl_complex) twiddle[]) +{ + + size_t k, k1; + + const size_t m = n / factor; + const size_t q = n / product; + const size_t product_1 = product / factor; + + size_t e1, e2; + + const double d_theta = 2.0 * M_PI / ((double) factor); + const ATOMIC cos_d_theta = cos (d_theta); + const ATOMIC sin_d_theta = sin (d_theta); + + for (k1 = 0; k1 < product_1; k1++) + { + /* compute z = W(factor) x, for x halfcomplex */ + + ATOMIC dw_real = 1.0, dw_imag = 0.0; + + for (e1 = 0; e1 < factor; e1++) + { + ATOMIC sum_real = 0.0; + ATOMIC w_real = 1.0, w_imag = 0.0; + + if (e1 > 0) + { + ATOMIC tmp_real = dw_real * cos_d_theta - dw_imag * sin_d_theta; + ATOMIC tmp_imag = dw_real * sin_d_theta + dw_imag * cos_d_theta; + dw_real = tmp_real; + dw_imag = tmp_imag; + } + + for (e2 = 0; e2 <= factor - e2; e2++) + { + ATOMIC z_real, z_imag; + + if (e2 > 0) + { + ATOMIC tmp_real = dw_real * w_real - dw_imag * w_imag; + ATOMIC tmp_imag = dw_real * w_imag + dw_imag * w_real; + w_real = tmp_real; + w_imag = tmp_imag; + } + + if (e2 == 0) + { + size_t from_idx = factor * k1 * q; + z_real = VECTOR(in,istride,from_idx); + z_imag = 0.0; + sum_real += w_real * z_real - w_imag * z_imag; + } + else if (e2 == factor - e2) + { + size_t from_idx = factor * q * k1 + 2 * e2 * q - 1; + z_real = VECTOR(in,istride,from_idx); + z_imag = 0.0; + sum_real += w_real * z_real; + } + else + { + size_t from_idx = factor * q * k1 + 2 * e2 * q - 1; + z_real = VECTOR(in,istride,from_idx); + z_imag = VECTOR(in,istride,from_idx + 1); + sum_real += 2 * (w_real * z_real - w_imag * z_imag); + } + + } + + { + const size_t to_idx = q * k1 + e1 * m; + VECTOR(out,ostride,to_idx) = sum_real; + } + } + } + + if (q == 1) + return; + + for (k = 1; k < (q + 1) / 2; k++) + { + for (k1 = 0; k1 < product_1; k1++) + { + + ATOMIC dw_real = 1.0, dw_imag = 0.0; + + for (e1 = 0; e1 < factor; e1++) + { + ATOMIC z_real, z_imag; + ATOMIC sum_real = 0.0; + ATOMIC sum_imag = 0.0; + ATOMIC w_real = 1.0, w_imag = 0.0; + + if (e1 > 0) + { + ATOMIC t_real = dw_real * cos_d_theta - dw_imag * sin_d_theta; + ATOMIC t_imag = dw_real * sin_d_theta + dw_imag * cos_d_theta; + dw_real = t_real; + dw_imag = t_imag; + } + + for (e2 = 0; e2 < factor; e2++) + { + + if (e2 > 0) + { + ATOMIC tmp_real = dw_real * w_real - dw_imag * w_imag; + ATOMIC tmp_imag = dw_real * w_imag + dw_imag * w_real; + w_real = tmp_real; + w_imag = tmp_imag; + } + + if (e2 < factor - e2) + { + const size_t from0 = factor * k1 * q + 2 * k + 2 * e2 * q - 1; + z_real = VECTOR(in,istride,from0); + z_imag = VECTOR(in,istride,from0 + 1); + } + else + { + const size_t from0 = factor * k1 * q - 2 * k + 2 * (factor - e2) * q - 1; + z_real = VECTOR(in,istride,from0); + z_imag = -VECTOR(in,istride,from0 + 1); + } + + sum_real += w_real * z_real - w_imag * z_imag; + sum_imag += w_real * z_imag + w_imag * z_real; + } + + if (k == 0 || e1 == 0) + { + w_real = 1.0; + w_imag = 0.0; + } + else + { + size_t tskip = (q + 1) / 2 - 1; + w_real = GSL_REAL(twiddle[k - 1 + tskip * (e1 - 1)]); + w_imag = GSL_IMAG(twiddle[k - 1 + tskip * (e1 - 1)]); + } + + { + const size_t to0 = k1 * q + 2 * k + e1 * m - 1; + VECTOR(out,ostride,to0) = w_real * sum_real - w_imag * sum_imag; + VECTOR(out,ostride,to0 + 1) = w_real * sum_imag + w_imag * sum_real; + } + + } + } + } + + + if (q % 2 == 1) + return; + + { + double tw_arg = M_PI / ((double) factor); + ATOMIC cos_tw_arg = cos (tw_arg); + ATOMIC sin_tw_arg = sin (tw_arg); + + for (k1 = 0; k1 < product_1; k1++) + { + + ATOMIC dw_real = 1.0, dw_imag = 0.0; + ATOMIC tw_real = 1.0, tw_imag = 0.0; + + for (e1 = 0; e1 < factor; e1++) + { + ATOMIC w_real, w_imag, z_real, z_imag; + + ATOMIC sum_real = 0.0; + + if (e1 > 0) + { + ATOMIC tmp_real = tw_real * cos_tw_arg - tw_imag * sin_tw_arg; + ATOMIC tmp_imag = tw_real * sin_tw_arg + tw_imag * cos_tw_arg; + tw_real = tmp_real; + tw_imag = tmp_imag; + } + + w_real = tw_real; + w_imag = tw_imag; + + if (e1 > 0) + { + ATOMIC t_real = dw_real * cos_d_theta - dw_imag * sin_d_theta; + ATOMIC t_imag = dw_real * sin_d_theta + dw_imag * cos_d_theta; + dw_real = t_real; + dw_imag = t_imag; + } + + for (e2 = 0; e2 <= factor - e2 - 1; e2++) + { + + if (e2 > 0) + { + ATOMIC tmp_real = dw_real * w_real - dw_imag * w_imag; + ATOMIC tmp_imag = dw_real * w_imag + dw_imag * w_real; + w_real = tmp_real; + w_imag = tmp_imag; + } + + + if (e2 == factor - e2 - 1) + { + const size_t from0 = factor * k1 * q + q + 2 * e2 * q - 1; + z_real = VECTOR(in,istride,from0); + z_imag = 0.0; + sum_real += w_real * z_real - w_imag * z_imag; + } + else + { + const size_t from0 = factor * k1 * q + q + 2 * e2 * q - 1; + z_real = VECTOR(in,istride,from0); + z_imag = VECTOR(in,istride,from0 + 1); + sum_real += 2 * (w_real * z_real - w_imag * z_imag); + } + + } + + { + const size_t to0 = k1 * q + q + e1 * m - 1; + VECTOR(out,ostride,to0) = sum_real; + } + } + } + } + return; +} |