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sinh

Hyperbolic sine.

SYNOPSIS:

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

DESCRIPTION:

Returns the hyperbolic sine of an argument in the range MINLOG to MAXLOG.

The range is partitioned into two segments. If |x| <= 1, a rational function of the form x + x**3 P(x)/Q(x) is employed.
Otherwise the calculation is sinh(x) = (exp(x) - exp(-x))/2.

ACCURACY:
Relative error:
arithmetic domain # trials peak rms
DEC +- 88 50000 4.0e-17 7.7e-18
IEEE +-MAXLOG 30000 2.6e-16 5.7e-17