pocomath/src/complex/multiply.mjs

21 lines
580 B
JavaScript

import Returns from '../core/Returns.mjs'
export * from './Types/Complex.mjs'
export const multiply = {
'Complex<T>,Complex<T>': ({
T,
'complex(T,T)': cplx,
'add(T,T)': plus,
'subtract(T,T)': subt,
'self(T,T)': me,
'conjugate(T)': conj // makes quaternion multiplication work
}) => Returns(
`Complex<${T}>`,
(w,z) => {
const realpart = subt(me( w.re, z.re), me(conj(w.im), z.im))
const imagpart = plus(me(conj(w.re), z.im), me( w.im, z.re))
return cplx(realpart, imagpart)
}
)
}