diff options
Diffstat (limited to 'sysdeps/ieee754/ldbl-128/s_fmal.c')
| -rw-r--r-- | sysdeps/ieee754/ldbl-128/s_fmal.c | 38 |
1 files changed, 34 insertions, 4 deletions
diff --git a/sysdeps/ieee754/ldbl-128/s_fmal.c b/sysdeps/ieee754/ldbl-128/s_fmal.c index 201bff9..c6a3d71 100644 --- a/sysdeps/ieee754/ldbl-128/s_fmal.c +++ b/sysdeps/ieee754/ldbl-128/s_fmal.c @@ -57,16 +57,46 @@ __fmal (long double x, long double y, long double z) if (z == 0 && x != 0 && y != 0) return x * y; /* If x or y or z is Inf/NaN, or if fma will certainly overflow, - or if x * y is less than half of LDBL_DENORM_MIN, - compute as x * y + z. */ + or if x * y is zero, compute as x * y + z. */ if (u.ieee.exponent == 0x7fff || v.ieee.exponent == 0x7fff || w.ieee.exponent == 0x7fff || u.ieee.exponent + v.ieee.exponent > 0x7fff + IEEE854_LONG_DOUBLE_BIAS - || u.ieee.exponent + v.ieee.exponent - < IEEE854_LONG_DOUBLE_BIAS - LDBL_MANT_DIG - 2) + || x == 0 + || y == 0) return x * y + z; + /* If x * y is less than 1/4 of LDBL_DENORM_MIN, neither the + result nor whether there is underflow depends on its exact + value, only on its sign. */ + if (u.ieee.exponent + v.ieee.exponent + < IEEE854_LONG_DOUBLE_BIAS - LDBL_MANT_DIG - 2) + { + int neg = u.ieee.negative ^ v.ieee.negative; + long double tiny = neg ? -0x1p-16494L : 0x1p-16494L; + if (w.ieee.exponent >= 3) + return tiny + z; + /* Scaling up, adding TINY and scaling down produces the + correct result, because in round-to-nearest mode adding + TINY has no effect and in other modes double rounding is + harmless. But it may not produce required underflow + exceptions. */ + v.d = z * 0x1p114L + tiny; + if (TININESS_AFTER_ROUNDING + ? v.ieee.exponent < 115 + : (w.ieee.exponent == 0 + || (w.ieee.exponent == 1 + && w.ieee.negative != neg + && w.ieee.mantissa3 == 0 + && w.ieee.mantissa2 == 0 + && w.ieee.mantissa1 == 0 + && w.ieee.mantissa0 == 0))) + { + volatile long double force_underflow = x * y; + (void) force_underflow; + } + return v.d * 0x1p-114L; + } if (u.ieee.exponent + v.ieee.exponent >= 0x7fff + IEEE854_LONG_DOUBLE_BIAS - LDBL_MANT_DIG) { |