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std.complex.Complex/complex - multiple declarations

Function complex

Helper function that returns a complex number with the specified real and imaginary parts.

auto complex(R) (
  const R re
) pure nothrow @nogc @safe
if (is(R : double));

auto complex(R, I) (
  const R re,
  const I im
) pure nothrow @nogc @safe
if (is(R : double) && is(I : double));

Parameters

NameDescription
R (template parameter) type of real part of complex number
I (template parameter) type of imaginary part of complex number
re real part of complex number to be constructed
im (optional) imaginary part of complex number, 0 if omitted.

Returns

Complex instance with real and imaginary parts set to the values provided as input. If neither re nor im are floating-point numbers, the return type will be Complex!double. Otherwise, the return type is deduced using CommonType!(R, I).

Example

auto a = complex(1.0);
static assert(is(typeof(a) == Complex!double));
writeln(a.re); // 1.0
writeln(a.im); // 0.0

auto b = complex(2.0L);
static assert(is(typeof(b) == Complex!real));
writeln(b.re); // 2.0L
writeln(b.im); // 0.0L

auto c = complex(1.0, 2.0);
static assert(is(typeof(c) == Complex!double));
writeln(c.re); // 1.0
writeln(c.im); // 2.0

auto d = complex(3.0, 4.0L);
static assert(is(typeof(d) == Complex!real));
writeln(d.re); // 3.0
writeln(d.im); // 4.0L

auto e = complex(1);
static assert(is(typeof(e) == Complex!double));
writeln(e.re); // 1
writeln(e.im); // 0

auto f = complex(1L, 2);
static assert(is(typeof(f) == Complex!double));
writeln(f.re); // 1L
writeln(f.im); // 2

auto g = complex(3, 4.0L);
static assert(is(typeof(g) == Complex!real));
writeln(g.re); // 3
writeln(g.im); // 4.0L

Struct Complex

A complex number parametrised by a type T, which must be either float, double or real.

struct Complex(T)
  
if (isFloatingPoint!T);

Constructors

NameDescription
this (z) Construct a complex number with the specified real and imaginary parts. In the case where a single argument is passed that is not complex, the imaginary part of the result will be zero.

Fields

NameTypeDescription
im TThe imaginary part of the number.
re TThe real part of the number.

Methods

NameDescription
toString () Converts the complex number to a string representation.

Authors

Lars Tandle Kyllingstad, Don Clugston

License

Boost License 1.0