operator + method

Algebraic operator +(Algebraic other)

The sum of two polynomials is performed by adding the corresponding coefficients.

The degrees of the two polynomials don't need to be the same. For example, you could sum a Cubic with a Linear.

Implementation

Algebraic operator +(Algebraic other) {
  final maxDegree = max<int>(coefficients.length, other.coefficients.length);
  final newCoefficients = <Complex>[];

  // The sum of two polynomials is the sum of the coefficients with the same
  // degree
  for (var degree = maxDegree; degree >= 0; --degree) {
    final thisCoefficient = coefficient(degree) ?? const Complex.zero();
    final otherCoefficient =
        other.coefficient(degree) ?? const Complex.zero();
    final sum = thisCoefficient + otherCoefficient;

    if (!sum.isZero) {
      newCoefficients.add(sum);
    }
  }

  // Returning a new instance
  return Algebraic.from(newCoefficients);
}