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#include "quadmath-imp.h"
#include <math.h>
#include <float.h>
__float128
sqrtq (const __float128 x)
{
__float128 y;
int exp;
if (x == 0)
return x;
if (isnanq (x))
return x;
if (x < 0)
return nanq ("");
if (x <= DBL_MAX && x >= DBL_MIN)
{
/* Use double result as starting point. */
y = sqrt ((double) x);
/* Two Newton iterations. */
y -= 0.5q * (y - x / y);
y -= 0.5q * (y - x / y);
return y;
}
#ifdef HAVE_SQRTL
if (x <= LDBL_MAX && x >= LDBL_MIN)
{
/* Use long double result as starting point. */
y = sqrtl ((long double) x);
/* One Newton iteration. */
y -= 0.5q * (y - x / y);
return y;
}
#endif
/* If we're outside of the range of C types, we have to compute
the initial guess the hard way. */
y = frexpq (x, &exp);
if (exp % 2)
y *= 2, exp--;
y = sqrt (y);
y = scalbnq (y, exp / 2);
/* Two Newton iterations. */
y -= 0.5q * (y - x / y);
y -= 0.5q * (y - x / y);
return y;
}
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