reciprocal method
Finds the multiplicative inverse (reciprocal) of the current instance and returns the result in a new Complex object.
If you let z
be a complex in the standard form of z = a + bi
then the
reciprocal is 1/z
, which can also be written as:
- 1 / (a + bi)
- (x - yi) / (x2 + y2)
- conj(a + bi) / modulo(a + bi)2
Implementation
Complex reciprocal() {
if (isZero) {
throw const ComplexException('The reciprocal of zero is undefined.');
}
final scale = real * real + imaginary * imaginary;
return Complex(real / scale, -imaginary / scale);
}