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