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-rw-r--r--gsl-1.9/fft/hc_pass_2.c106
1 files changed, 106 insertions, 0 deletions
diff --git a/gsl-1.9/fft/hc_pass_2.c b/gsl-1.9/fft/hc_pass_2.c
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+/* fft/hc_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 void
+FUNCTION(fft_halfcomplex,pass_2) (const BASE in[],
+ const size_t istride,
+ BASE out[],
+ const size_t ostride,
+ const size_t product,
+ const size_t n,
+ const TYPE(gsl_complex) twiddle[])
+{
+ size_t i, j, k, k1, jump;
+ size_t factor, q, m, product_1;
+ i = 0;
+ j = 0;
+
+ factor = 2;
+ m = n / factor;
+ q = n / product;
+ product_1 = product / factor;
+ jump = (factor - 1) * q;
+
+ for (k1 = 0; k1 < product_1; k1++)
+ {
+ const ATOMIC r0 = VECTOR(in,istride,2 * k1 * q);
+ const ATOMIC r1 = VECTOR(in,istride,2 * k1 * q + 2 * q - 1);
+
+ const ATOMIC s0 = r0 + r1;
+ const ATOMIC s1 = r0 - r1;
+
+ VECTOR(out,ostride,q * k1) = s0;
+ VECTOR(out,ostride,q * k1 + m) = s1;
+ }
+
+ if (q == 1)
+ return;
+
+ for (k = 1; k < (q + 1) / 2; k++)
+ {
+ const ATOMIC w_real = GSL_REAL(twiddle[k - 1]);
+ const ATOMIC w_imag = GSL_IMAG(twiddle[k - 1]);
+
+ for (k1 = 0; k1 < product_1; k1++)
+ {
+ const size_t from0 = 2 * k1 * q + 2 * k - 1;
+ const size_t from1 = 2 * k1 * q - 2 * k + 2 * q - 1;
+
+ const ATOMIC z0_real = VECTOR(in,istride,from0);
+ const ATOMIC z0_imag = VECTOR(in,istride,from0 + 1);
+
+ const ATOMIC z1_real = VECTOR(in,istride,from1);
+ const ATOMIC z1_imag = VECTOR(in,istride,from1 + 1);
+
+ /* 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;
+
+ const size_t to0 = k1 * q + 2 * k - 1;
+ const size_t to1 = to0 + m;
+
+ VECTOR(out,ostride,to0) = x0_real;
+ VECTOR(out,ostride,to0 + 1) = x0_imag;
+
+ VECTOR(out,ostride,to1) = w_real * x1_real - w_imag * x1_imag;
+ VECTOR(out,ostride,to1 + 1) = w_imag * x1_real + w_real * x1_imag;
+
+ }
+ }
+
+ if (q % 2 == 1)
+ return;
+
+ for (k1 = 0; k1 < product_1; k1++)
+ {
+ const size_t from0 = 2 * k1 * q + q - 1;
+ const size_t to0 = k1 * q + q - 1;
+ const size_t to1 = to0 + m;
+
+ VECTOR(out,ostride,to0) = 2 * VECTOR(in,istride,from0);
+ VECTOR(out,ostride,to1) = -2 * VECTOR(in,istride,from0 + 1);
+ }
+ return;
+}