diff options
Diffstat (limited to 'src/fftw3/kernel/trig1.c')
-rw-r--r-- | src/fftw3/kernel/trig1.c | 70 |
1 files changed, 70 insertions, 0 deletions
diff --git a/src/fftw3/kernel/trig1.c b/src/fftw3/kernel/trig1.c new file mode 100644 index 0000000..b86362c --- /dev/null +++ b/src/fftw3/kernel/trig1.c @@ -0,0 +1,70 @@ +/* + * 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)); +} |