operator * method

@override Number operator *(dynamic multiplicand)

Returns the product of this Number and the multiplicand (a Number or num). This Number is unaffected.

Implementation

@override
Number operator *(dynamic multiplicand) {
  // i * i = -1
  if (multiplicand is num) {
    return Number.simplifyType(Complex(real * multiplicand as Real,
        Imaginary(imaginary.value * multiplicand)));
  }
  if (multiplicand is Real) {
    return Number.simplifyType(Complex(multiplicand * real as Real,
        Imaginary(multiplicand * imaginary.value)));
  }
  if (multiplicand is Imaginary) {
    // (0+bi)(c+di)=(-bd)+i(bc)
    return Number.simplifyType(Complex(
        imaginary.value * multiplicand.value * -1 as Real,
        Imaginary(multiplicand.value * real)));
  }
  if (multiplicand is Complex) {
    // (a+bi)(c+di)=(ac-bd)+i(ad+bc)
    return Number.simplifyType(Complex(
        real * multiplicand.real -
            imaginary.value * multiplicand.imaginary.value as Real,
        Imaginary(real * multiplicand.imaginary.value +
            imaginary.value * multiplicand.real)));
  }

  // Treat multiplier as zero
  return Number.simplifyType(Integer.zero);
}