Intermediate Exercism • typescript

Complex Numbers

Challenge Overview

A complex number is a number in the form `a + bi` where `a` and `b` are real numbers and `i` is the imaginary unit satisfying `i^2 = -1`.

Source: Exercism typescript/complex-numbers

💡 View Solution

export class ComplexNumber {
  constructor(public real: number, public imag: number) {}

  public get abs(): number {
    return Math.sqrt(this.real ** 2 + this.imag ** 2);
  }

  public add(other: ComplexNumber): ComplexNumber {
    return new ComplexNumber(this.real + other.real, this.imag + other.imag);
  }

  public sub(other: ComplexNumber): ComplexNumber {
    return new ComplexNumber(this.real - other.real, this.imag - other.imag);
  }

  public mul(other: ComplexNumber): ComplexNumber {
    return new ComplexNumber(
      this.real * other.real - this.imag * other.imag,
      this.real * other.imag + this.imag * other.real
    );
  }

  public div(other: ComplexNumber): ComplexNumber {
    const denominator = other.real ** 2 + other.imag ** 2;
    return new ComplexNumber(
      (this.real * other.real + this.imag * other.imag) / denominator,
      (this.imag * other.real - this.real * other.imag) / denominator
    );
  }

  public get conj(): ComplexNumber {
    return new ComplexNumber(this.real, this.imag === 0 ? 0 : -this.imag);
  }

  public get exp(): ComplexNumber {
    return new ComplexNumber(
      Math.exp(this.real) * Math.cos(this.imag),
      Math.exp(this.real) * Math.sin(this.imag)
    );
  }
}