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authorJoseph Myers <joseph@codesourcery.com>2012-07-05 11:02:13 +0000
committerJoseph Myers <joseph@codesourcery.com>2012-07-05 11:02:13 +0000
commitcdfe2c5eb3703ed964cbfdb6906b21ace2956385 (patch)
treec9e8f3452c8450524666f1287f5d8e0fc72a2875 /math/s_csqrtl.c
parent704bc4594dc1fad46831823627749fa10924b41d (diff)
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Fix csqrt underflow (bugs 14157, 14331).
Diffstat (limited to 'math/s_csqrtl.c')
-rw-r--r--math/s_csqrtl.c26
1 files changed, 19 insertions, 7 deletions
diff --git a/math/s_csqrtl.c b/math/s_csqrtl.c
index 64332f67b2..579d9768c2 100644
--- a/math/s_csqrtl.c
+++ b/math/s_csqrtl.c
@@ -75,7 +75,11 @@ __csqrtl (__complex__ long double x)
}
else if (__builtin_expect (rcls == FP_ZERO, 0))
{
- long double r = __ieee754_sqrtl (0.5 * fabsl (__imag__ x));
+ long double r;
+ if (fabsl (__imag__ x) >= 2.0L * LDBL_MIN)
+ r = __ieee754_sqrtl (0.5L * fabsl (__imag__ x));
+ else
+ r = 0.5L * __ieee754_sqrtl (2.0L * fabsl (__imag__ x));
__real__ res = r;
__imag__ res = __copysignl (r, __imag__ x);
@@ -85,13 +89,21 @@ __csqrtl (__complex__ long double x)
long double d, r, s;
int scale = 0;
- if (fabsl (__real__ x) > LDBL_MAX / 2.0L
- || fabsl (__imag__ x) > LDBL_MAX / 2.0L)
+ if (fabsl (__real__ x) > LDBL_MAX / 4.0L)
{
scale = 1;
__real__ x = __scalbnl (__real__ x, -2 * scale);
__imag__ x = __scalbnl (__imag__ x, -2 * scale);
}
+ else if (fabsl (__imag__ x) > LDBL_MAX / 4.0L)
+ {
+ scale = 1;
+ if (fabsl (__real__ x) >= 4.0L * LDBL_MIN)
+ __real__ x = __scalbnl (__real__ x, -2 * scale);
+ else
+ __real__ x = 0.0L;
+ __imag__ x = __scalbnl (__imag__ x, -2 * scale);
+ }
else if (fabsl (__real__ x) < LDBL_MIN
&& fabsl (__imag__ x) < LDBL_MIN)
{
@@ -105,13 +117,13 @@ __csqrtl (__complex__ long double x)
to avoid cancellation error in d +/- Re x. */
if (__real__ x > 0)
{
- r = __ieee754_sqrtl (0.5L * d + 0.5L * __real__ x);
- s = (0.5L * __imag__ x) / r;
+ r = __ieee754_sqrtl (0.5L * (d + __real__ x));
+ s = 0.5L * (__imag__ x / r);
}
else
{
- s = __ieee754_sqrtl (0.5L * d - 0.5L * __real__ x);
- r = fabsl ((0.5L * __imag__ x) / s);
+ s = __ieee754_sqrtl (0.5L * (d - __real__ x));
+ r = fabsl (0.5L * (__imag__ x / s));
}
if (scale)