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version 2.099.0

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Function std.complex.tan

Trigonometric functions on complex numbers.

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

Parameters

NameDescription
z A complex number.

Returns

The sine, cosine and tangent of z, respectively.

Example

static import core.math;
writeln(sin(complex(0.0))); // 0.0
writeln(sin(complex(2.0, 0))); // core.math.sin(2.0)

Example

static import core.math;
static import std.math;
writeln(cos(complex(0.0))); // 1.0
writeln(cos(complex(1.3, 0.0))); // core.math.cos(1.3)
writeln(cos(complex(0.0, 5.2))); // std.math.cosh(5.2)

Example

static import std.math;

int ceqrel(T)(const Complex!T x, const Complex!T y) @safe pure nothrow @nogc
{
    import std.math.operations : feqrel;
    const r = feqrel(x.re, y.re);
    const i = feqrel(x.im, y.im);
    return r < i ? r : i;
}
assert(ceqrel(tan(complex(1.0, 0.0)), complex(std.math.tan(1.0), 0.0)) >= double.mant_dig - 2);
assert(ceqrel(tan(complex(0.0, 1.0)), complex(0.0, std.math.tanh(1.0))) >= double.mant_dig - 2);

Authors

Lars Tandle Kyllingstad, Don Clugston

License

Boost License 1.0