Complex Number API
Complex-number maths as an API, computed locally and deterministically. The arithmetic endpoint adds, subtracts, multiplies or divides two complex numbers z₁ = a + bi and z₂ = c + di, returning the result in both rectangular (a + bi) and polar (modulus ∠ angle) form. The properties endpoint describes a single complex number — its modulus |z| = √(a² + b²), its argument in radians and degrees, its conjugate, its negation, its reciprocal and its polar form. The power endpoint applies De Moivre's theorem, zⁿ = rⁿ(cos nθ + i·sin nθ), to raise a complex number to any real power, and for a positive integer n it also returns all n distinct n-th roots, evenly spaced around the complex plane. The imaginary part defaults to zero, so real inputs work too. Everything is computed locally and deterministically, so it is instant and private. Ideal for engineering, signal-processing, electronics, physics and mathematics app developers, AC-circuit and phasor tools, and STEM education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is complex-number arithmetic; for plane-angle unit conversion use an angle API and for vectors a vector API.
api.oanor.com/complexnumber-api
