Function powOrOne

src/compute-engine/rubi/rubi-utils.ts:4332–4336

(base: Expression, exp: Expression)

function trigToExp(ce: ComputeEngine, u: Expression): Expression {
  const ops = u.ops;
  if (ops?.length === 1 && (u.operator === 'sin' || u.operator === 'cos')) {
    const w = trigToExp(ce, ops[0]);
    const i = ce.I;
    const ewPos = ce.E.pow(i.mul(w)); // E^(i·w)
    const ewNeg = ce.E.pow(i.neg().mul(w)); // E^(−i·w)
    const half = ce.number([1, 2]);
    if (u.operator === 'cos') return half.mul(ewPos).add(half.mul(ewNeg));
    // sin[w] = (E^(i·w) − E^(−i·w))/(2i) = −(i/2)E^(i·w) + (i/2)E^(−i·w)