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Function std.complex.abs

Calculates the absolute value (or modulus) of a complex number.

T abs(T)(
  Complex!T z
) pure nothrow @nogc @safe;

normal case
Special Values
z abs(z) Notes
(0, 0) 0
(NaN, any) or (any, NaN) NaN
(Inf, any) or (any, Inf) Inf
(a, b)hypot(a, b) Uses algorithm to prevent overflow/underflow

Parameters

NameDescription
z A complex number of type Complex!T

Returns

The absolute value (modulus) of z

Example

static import core.math;
writeln(abs(complex(1.0))); // 1.0
writeln(abs(complex(0.0, 1.0))); // 1.0
writeln(abs(complex(1.0L, -2.0L))); // core.math.sqrt(5.0L)

Authors

Lars Tandle Kyllingstad, Don Clugston

License

Boost License 1.0