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Function std.math.trigonometry.asinh

Calculates the inverse hyperbolic sine of x.

real asinh (
  real x
) pure nothrow @nogc @safe;

double asinh (
  double x
) pure nothrow @nogc @safe;

float asinh (
  float x
) pure nothrow @nogc @safe;

Mathematically,

asinh(x) =  log( x + sqrt( x*x + 1 )) // if x >= +0
asinh(x) = -log(-x + sqrt( x*x + 1 )) // if x <= -0

Special Values
x asinh(x)
NAN NAN
±0 ±0
±∞ ±∞

Example

import std.math.traits : isIdentical, isNaN;

assert(isIdentical(asinh(0.0), 0.0));
assert(isIdentical(asinh(-0.0), -0.0));
writeln(asinh(real.infinity)); // real.infinity
writeln(asinh(-real.infinity)); // -real.infinity
assert(isNaN(asinh(real.nan)));

Authors

Walter Bright, Don Clugston, Conversion of CEPHES math library to D by Iain Buclaw and David Nadlinger

License

Boost License 1.0.