consteig::Complex< T > Struct Template Reference

Constexpr complex number type. More...

#include <complex.hpp>

Public Member Functions
constexpr	Complex (T r=0, T i=0)
	Construct from real and imaginary parts (default: 0 + 0i).
constexpr Complex	operator+ (const Complex &other) const
	Complex addition.
constexpr Complex &	operator+= (const Complex &other)
	Complex addition in-place.
constexpr Complex	operator- (const Complex &other) const
	Complex subtraction.
constexpr Complex	operator* (const Complex &other) const
	Complex multiplication: (a+bi)(c+di) = (ac-bd) + (ad+bc)i.
constexpr Complex	operator/ (const Complex &other) const
	Complex division: divides by |other|^2.
constexpr bool	operator== (const Complex &other) const
	Exact equality (no tolerance). Prefer equalWithin for floats.
constexpr bool	operator!= (const Complex &other) const
	Inequality.

Public Attributes
T	real
	Real part.
T	imag
	Imaginary part.

Detailed Description

template<typename T>
struct consteig::Complex< T >

Constexpr complex number type.

A lightweight complex number with no dependency on <complex>. All arithmetic operators and utility functions are constexpr, making it suitable for compile-time computation. Returned by eigenvalues and eigenvectors for complex eigenvalue pairs.

Template Parameters

T	Floating-point scalar type for the real and imaginary parts.

constexpr consteig::Complex<double> z{3.0, 4.0}; // 3 + 4i
constexpr double magnitude = consteig::abs(z);    // 5.0
constexpr auto zc = consteig::conj(z);            // 3 - 4i

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The documentation for this struct was generated from the following file:

• include/consteig/math/complex.hpp