| Index: fusl/src/math/hypot.c
 | 
| diff --git a/fusl/src/math/hypot.c b/fusl/src/math/hypot.c
 | 
| new file mode 100644
 | 
| index 0000000000000000000000000000000000000000..6071bf1e284f376f417dbab5bc306964a7491f3f
 | 
| --- /dev/null
 | 
| +++ b/fusl/src/math/hypot.c
 | 
| @@ -0,0 +1,67 @@
 | 
| +#include <math.h>
 | 
| +#include <stdint.h>
 | 
| +#include <float.h>
 | 
| +
 | 
| +#if FLT_EVAL_METHOD > 1U && LDBL_MANT_DIG == 64
 | 
| +#define SPLIT (0x1p32 + 1)
 | 
| +#else
 | 
| +#define SPLIT (0x1p27 + 1)
 | 
| +#endif
 | 
| +
 | 
| +static void sq(double_t *hi, double_t *lo, double x)
 | 
| +{
 | 
| +	double_t xh, xl, xc;
 | 
| +
 | 
| +	xc = (double_t)x*SPLIT;
 | 
| +	xh = x - xc + xc;
 | 
| +	xl = x - xh;
 | 
| +	*hi = (double_t)x*x;
 | 
| +	*lo = xh*xh - *hi + 2*xh*xl + xl*xl;
 | 
| +}
 | 
| +
 | 
| +double hypot(double x, double y)
 | 
| +{
 | 
| +	union {double f; uint64_t i;} ux = {x}, uy = {y}, ut;
 | 
| +	int ex, ey;
 | 
| +	double_t hx, lx, hy, ly, z;
 | 
| +
 | 
| +	/* arrange |x| >= |y| */
 | 
| +	ux.i &= -1ULL>>1;
 | 
| +	uy.i &= -1ULL>>1;
 | 
| +	if (ux.i < uy.i) {
 | 
| +		ut = ux;
 | 
| +		ux = uy;
 | 
| +		uy = ut;
 | 
| +	}
 | 
| +
 | 
| +	/* special cases */
 | 
| +	ex = ux.i>>52;
 | 
| +	ey = uy.i>>52;
 | 
| +	x = ux.f;
 | 
| +	y = uy.f;
 | 
| +	/* note: hypot(inf,nan) == inf */
 | 
| +	if (ey == 0x7ff)
 | 
| +		return y;
 | 
| +	if (ex == 0x7ff || uy.i == 0)
 | 
| +		return x;
 | 
| +	/* note: hypot(x,y) ~= x + y*y/x/2 with inexact for small y/x */
 | 
| +	/* 64 difference is enough for ld80 double_t */
 | 
| +	if (ex - ey > 64)
 | 
| +		return x + y;
 | 
| +
 | 
| +	/* precise sqrt argument in nearest rounding mode without overflow */
 | 
| +	/* xh*xh must not overflow and xl*xl must not underflow in sq */
 | 
| +	z = 1;
 | 
| +	if (ex > 0x3ff+510) {
 | 
| +		z = 0x1p700;
 | 
| +		x *= 0x1p-700;
 | 
| +		y *= 0x1p-700;
 | 
| +	} else if (ey < 0x3ff-450) {
 | 
| +		z = 0x1p-700;
 | 
| +		x *= 0x1p700;
 | 
| +		y *= 0x1p700;
 | 
| +	}
 | 
| +	sq(&hx, &lx, x);
 | 
| +	sq(&hy, &ly, y);
 | 
| +	return z*sqrt(ly+lx+hy+hx);
 | 
| +}
 | 
| 
 |