diff options
Diffstat (limited to 'lib/msun/src/e_lgamma_r.c')
-rw-r--r-- | lib/msun/src/e_lgamma_r.c | 50 |
1 files changed, 24 insertions, 26 deletions
diff --git a/lib/msun/src/e_lgamma_r.c b/lib/msun/src/e_lgamma_r.c index 1cff592..980c72c 100644 --- a/lib/msun/src/e_lgamma_r.c +++ b/lib/msun/src/e_lgamma_r.c @@ -156,37 +156,35 @@ w6 = -1.63092934096575273989e-03; /* 0xBF5AB89D, 0x0B9E43E4 */ static const double zero= 0.00000000000000000000e+00; - static double sin_pi(double x) +/* + * Compute sin(pi*x) without actually doing the pi*x multiplication. + * sin_pi(x) is only called for x < 0 and |x| < 2**(p-1) where p is + * the precision of x. + */ +static double +sin_pi(double x) { + volatile double vz; double y,z; - int n,ix; + int n; - GET_HIGH_WORD(ix,x); - ix &= 0x7fffffff; + y = -x; - if(ix<0x3fd00000) return __kernel_sin(pi*x,zero,0); - y = -x; /* x is assume negative */ + vz = y+0x1p52; /* depend on 0 <= y < 0x1p52 */ + z = vz-0x1p52; /* rint(y) for the above range */ + if (z == y) + return (zero); + + vz = y+0x1p50; + GET_LOW_WORD(n,vz); /* bits for rounded y (units 0.25) */ + z = vz-0x1p50; /* y rounded to a multiple of 0.25 */ + if (z > y) { + z -= 0.25; /* adjust to round down */ + n--; + } + n &= 7; /* octant of y mod 2 */ + y = y - z + n * 0.25; /* y mod 2 */ - /* - * argument reduction, make sure inexact flag not raised if input - * is an integer - */ - z = floor(y); - if(z!=y) { /* inexact anyway */ - y *= 0.5; - y = 2.0*(y - floor(y)); /* y = |x| mod 2.0 */ - n = (int) (y*4.0); - } else { - if(ix>=0x43400000) { - y = zero; n = 0; /* y must be even */ - } else { - if(ix<0x43300000) z = y+two52; /* exact */ - GET_LOW_WORD(n,z); - n &= 1; - y = n; - n<<= 2; - } - } switch (n) { case 0: y = __kernel_sin(pi*y,zero,0); break; case 1: |