diff options
Diffstat (limited to 'sysdeps/ieee754/dbl-64/s_sincos.c')
| -rw-r--r-- | sysdeps/ieee754/dbl-64/s_sincos.c | 68 |
1 files changed, 49 insertions, 19 deletions
diff --git a/sysdeps/ieee754/dbl-64/s_sincos.c b/sysdeps/ieee754/dbl-64/s_sincos.c index 4335ecbba3..c7460371e4 100644 --- a/sysdeps/ieee754/dbl-64/s_sincos.c +++ b/sysdeps/ieee754/dbl-64/s_sincos.c @@ -23,9 +23,7 @@ #include <math_private.h> #include <libm-alias-double.h> -#define __sin __sin_local -#define __cos __cos_local -#define IN_SINCOS 1 +#define IN_SINCOS #include "s_sin.c" void @@ -37,31 +35,63 @@ __sincos (double x, double *sinx, double *cosx) SET_RESTORE_ROUND_53BIT (FE_TONEAREST); u.x = x; - k = 0x7fffffff & u.i[HIGH_HALF]; + k = u.i[HIGH_HALF] & 0x7fffffff; if (k < 0x400368fd) { - *sinx = __sin_local (x); - *cosx = __cos_local (x); - return; - } - if (k < 0x419921FB) - { - double a, da; - int4 n = reduce_sincos (x, &a, &da); - - *sinx = do_sincos (a, da, n); - *cosx = do_sincos (a, da, n + 1); + double a, da, y; + /* |x| < 2^-27 => cos (x) = 1, sin (x) = x. */ + if (k < 0x3e400000) + { + if (k < 0x3e500000) + math_check_force_underflow (x); + *sinx = x; + *cosx = 1.0; + return; + } + /* |x| < 0.855469. */ + else if (k < 0x3feb6000) + { + *sinx = do_sin (x, 0); + *cosx = do_cos (x, 0); + return; + } + /* |x| < 2.426265. */ + y = hp0 - fabs (x); + a = y + hp1; + da = (y - a) + hp1; + *sinx = __copysign (do_cos (a, da), x); + *cosx = do_sin (a, da); return; } + /* |x| < 2^1024. */ if (k < 0x7ff00000) { - double a, da; - int4 n = __branred (x, &a, &da); + double a, da, xx; + unsigned int n; - *sinx = do_sincos (a, da, n); - *cosx = do_sincos (a, da, n + 1); + /* If |x| < 105414350 use simple range reduction. */ + n = k < 0x419921FB ? reduce_sincos (x, &a, &da) : __branred (x, &a, &da); + n = n & 3; + + if (n == 1 || n == 2) + { + a = -a; + da = -da; + } + + if (n & 1) + { + double *temp = cosx; + cosx = sinx; + sinx = temp; + } + + *sinx = do_sin (a, da); + xx = do_cos (a, da); + *cosx = (n & 2) ? -xx : xx; + return; } if (isinf (x)) |