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tan

Circular tangent.

SYNOPSIS:

double x, y, tan();
y = tan(x);

DESCRIPTION:

Returns the circular tangent of the radian argument x.
Range reduction is modulo pi/4.
A rational function:

x + x**3 P(x**2)/Q(x**2)

is employed in the basic interval [0, pi/4].

ACCURACY:
Relative error:
arithmetic domain # trials peak rms
DEC +-1.07e9 44000 4.1e-17 1.0e-17
IEEE +-1.07e9 30000 2.9e-16 8.1e-17

ERROR MESSAGES:

message condition value returned
total loss x > 1.073741824e9 0.0