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Function `std.math.trigonometry.atanh`

Calculates the inverse hyperbolic tangent of x, returning a value from ranging from -1 to 1.


						
				real atanh(
				
  real x
				

				) pure nothrow @nogc @safe;
				

				

				double atanh(
				
  double x
				

				) pure nothrow @nogc @safe;
				

				

				float atanh(
				
  float x
				

				) pure nothrow @nogc @safe;

Mathematically, atanh(x) = log( (1+x)/(1-x) ) / 2

Domain X	Range Y
-∞..∞	-1 .. 1

Special Values
x	acosh(x)
NAN	NAN
±0	±0
-∞	-0

Example

import std.math.traits : isIdentical, isNaN;

assert(isIdentical(atanh(0.0), 0.0));
assert(isIdentical(atanh(-0.0),-0.0));
assert(isNaN(atanh(real.nan)));
assert(isNaN(atanh(-real.infinity)));
writeln(atanh(0.0)); // 0

Authors

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

License

Boost License 1.0.