A package provides implementation of complex numbers and mathematical functions for complex numbers.
A complex number is an extension of the real numbers. It combines both real and
imaginary components. It can be expressed in form a + bi, where:
a: the real partb: the imaginary parti: the imaginary unit
A real number can be regarded as a complex number a + 0i, whose the imaginary
part is 0. A purely imaginary number is a complex number 0 + bi, whose the
real part is 0.
This package provides an implementation of complex numbers through the Complex
class. It has methods to perform basic operations on complex numbers:
const cmplx1 = new Complex(3, 1); // 3 + i
const cmplx2 = new Complex(2, 9); // 2 + 9i
cmplx1.add(cmplx2); // (3 + i) + (2 + 9i) = (5 + 10i)
// Also works with real numbers
cmplx1.add(3); // (3 + i) + 3 = (3 + i) + (3 + 0i) = (6 + i)Methods conj(), abs(), phase() return the conjugate, absolute value, and
argument of the complex number respectively:
cmplx2.conj(); // (2 - 9i)
cmplx2.abs(); // ≈ 9.219544457292889 = Math.sqrt(85)
cmplx2.phase(); // 1.3521273809209546For convenience, the cmplx function was added in v1.1.0 to help create
complex numbers more easily.
cmplx(2, 3); // 2 + 3iUnlike the Complex class, the cmplx function requires the first argument
(the real part).
cmplx(0); // 0 + 0iLike Math, ComplexMath provides basic mathematics functionality for
complex numbers.
- Exponential and logarithm functions
ComplexMath.exp();
ComplexMath.log();
// ...- Hyperbolic functions:
ComplexMath.sinh();
ComplexMath.atanh();
// ...- Power functions:
ComplexMath.sqrt();
ComplexMath.pow();
// ...- Trigonometric functions:
ComplexMath.asin();
ComplexMath.tan();
// ...- Go
math/cmplx - C++
std::complex - Python
complexandcmath
MIT