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sqrt
Square root.SYNOPSIS:
double x, y, sqrt();
y = sqrt(x);
DESCRIPTION:
Returns the square root of x.
Range reduction involves isolating the power of two of the argument and using a polynomial approximation to obtain a rough value for the square root. Then Heron's iteration is used three times to converge to an accurate value.
ACCURACY:
Relative error:
arithmetic domain # trials peak rms
DEC 0, 10 60000 2.1e-17 7.9e-18
IEEE 0,1.7e308 30000 1.7e-16 6.3e-17
ERROR MESSAGES:
message condition value returned
domain x < 0 0.0