diff options
| -rw-r--r-- | src/math/acoshf.c | 11 | ||||
| -rw-r--r-- | src/math/acoshl.c | 4 | 
2 files changed, 8 insertions, 7 deletions
| diff --git a/src/math/acoshf.c b/src/math/acoshf.c index 4596085e..16550f19 100644 --- a/src/math/acoshf.c +++ b/src/math/acoshf.c @@ -3,14 +3,15 @@  /* acosh(x) = log(x + sqrt(x*x-1)) */  float acoshf(float x)  { -	union {float f; int32_t i;} u = {.f = x}; +	union {float f; uint32_t i;} u = {x}; +	uint32_t a = u.i & 0x7fffffff; -	if (u.i < 0x3f800000+(1<<23)) -		/* x < 2, invalid if x < 1 or nan */ +	if (a < 0x3f800000+(1<<23)) +		/* |x| < 2, invalid if x < 1 or nan */  		/* up to 2ulp error in [1,1.125] */  		return log1pf(x-1 + sqrtf((x-1)*(x-1)+2*(x-1))); -	if (u.i < 0x3f800000+(12<<23)) -		/* x < 0x1p12 */ +	if (a < 0x3f800000+(12<<23)) +		/* |x| < 0x1p12 */  		return logf(2*x - 1/(x+sqrtf(x*x-1)));  	/* x >= 0x1p12 */  	return logf(x) + 0.693147180559945309417232121458176568f; diff --git a/src/math/acoshl.c b/src/math/acoshl.c index de31fb75..4aa84acb 100644 --- a/src/math/acoshl.c +++ b/src/math/acoshl.c @@ -13,10 +13,10 @@ long double acoshl(long double x)  	int e = u.i.se & 0x7fff;  	if (e < 0x3fff + 1) -		/* x < 2, invalid if x < 1 or nan */ +		/* |x| < 2, invalid if x < 1 or nan */  		return log1pl(x-1 + sqrtl((x-1)*(x-1)+2*(x-1)));  	if (e < 0x3fff + 32) -		/* x < 0x1p32 */ +		/* |x| < 0x1p32 */  		return logl(2*x - 1/(x+sqrtl(x*x-1)));  	return logl(x) + 0.693147180559945309417232121458176568L;  } | 
