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authorscuri <scuri>2008-10-17 06:10:15 +0000
committerscuri <scuri>2008-10-17 06:10:15 +0000
commit5a422aba704c375a307a902bafe658342e209906 (patch)
tree5005011e086bb863d8fb587ad3319bbec59b2447 /src/fftw3/kernel/trig1.c
First commit - moving from LuaForge to SourceForge
Diffstat (limited to 'src/fftw3/kernel/trig1.c')
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diff --git a/src/fftw3/kernel/trig1.c b/src/fftw3/kernel/trig1.c
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+/*
+ * Copyright (c) 2003 Matteo Frigo
+ * Copyright (c) 2003 Massachusetts Institute of Technology
+ *
+ * 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., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
+ *
+ */
+
+/* $Id: trig1.c,v 1.1 2008/10/17 06:11:29 scuri Exp $ */
+
+/* trigonometric functions */
+#include "ifftw.h"
+#include <math.h>
+
+#ifdef FFTW_LDOUBLE
+# define COS cosl
+# define SIN sinl
+# define TAN tanl
+# define KTRIG(x) (x##L)
+#else
+# define COS cos
+# define SIN sin
+# define TAN tan
+# define KTRIG(x) (x)
+#endif
+
+static const trigreal K2PI =
+ KTRIG(6.2831853071795864769252867665590057683943388);
+#define by2pi(m, n) ((K2PI * (m)) / (n))
+
+/*
+ * Improve accuracy by reducing x to range [0..1/8]
+ * before multiplication by 2 * PI.
+ */
+
+trigreal X(sincos)(trigreal m, trigreal n, int sinp)
+{
+ /* waiting for C to get tail recursion... */
+ trigreal half_n = n * KTRIG(0.5);
+ trigreal quarter_n = half_n * KTRIG(0.5);
+ trigreal eighth_n = quarter_n * KTRIG(0.5);
+ trigreal sgn = KTRIG(1.0);
+
+ if (sinp) goto sin;
+ cos:
+ if (m < 0) { m = -m; /* goto cos; */ }
+ if (m > half_n) { m = n - m; goto cos; }
+ if (m > eighth_n) { m = quarter_n - m; goto sin; }
+ return sgn * COS(by2pi(m, n));
+
+ msin:
+ sgn = -sgn;
+ sin:
+ if (m < 0) { m = -m; goto msin; }
+ if (m > half_n) { m = n - m; goto msin; }
+ if (m > eighth_n) { m = quarter_n - m; goto cos; }
+ return sgn * SIN(by2pi(m, n));
+}