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Description:

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Complex Number Class in Dart #



Overview #
The Complex class in Dart provides a way to represent and perform basic arithmetic operations with complex numbers. A complex number is expressed as a + bi, where a is the real part and b is the imaginary part. This class supports addition, subtraction, multiplication, division, and comparison of complex numbers, along with a method to compute the magnitude.
Features #

Addition, subtraction, multiplication, and division of complex numbers.
Comparison of complex numbers based on their magnitude.
Factory constructors for creating complex numbers with only real or imaginary parts.
Easy-to-use extension methods for creating complex numbers from numerical values.

Installation #
To use the Complex class in your Dart project, include it in your pubspec.yaml file:
dependencies:
i: ^1.0.1
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Then run dart pub get to install the dependency.
Usage #
Here's how to use the Complex class in your Dart project:
import 'package:i/i.dart';

void main() {
// Creating complex numbers
Complex num1 = Complex(2, 3);
Complex num2 = Complex.fromReal(4);
Complex num3 = Complex.fromImaginary(5);

print('num1: $num1'); // Output: 2.00 + 3.00i
print('num2: $num2'); // Output: 4.00 + 0.00i
print('num3: $num3'); // Output: 0.00 + 5.00i

// Performing arithmetic operations
Complex sum = num1 + num2;
Complex difference = num1 - num2;
Complex product = num1 * num2;
Complex quotient = num1 / num2;

print('Addition: $sum'); // Output: 6.00 + 3.00i
print('Subtraction: $difference'); // Output: -2.00 + 3.00i
print('Multiplication: $product'); // Output: -10.00 + 15.00i
print('Division: $quotient'); // Output: 0.56 + 0.08i

// Comparison
Complex num4 = Complex(3, 4);
print('Comparison result: ${num1.compareTo(num4)}'); // Output: -1, 0, or 1 based on magnitude
}
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Methods #
Complex(double real, double imaginary) #
Creates a new complex number with the given real and imaginary parts.
factory Complex.fromReal(double real) #
Creates a new complex number with the given real part and zero as the imaginary part.
factory Complex.fromImaginary(double imaginary) #
Creates a new complex number with the given imaginary part and zero as the real part.
Complex operator +(Complex other) #
Adds this complex number to another complex number.
Complex operator -(Complex other) #
Subtracts another complex number from this complex number.
Complex operator *(Complex other) #
Multiplies this complex number by another complex number.
Complex operator /(Complex other) #
Divides this complex number by another complex number.
double get magnitude #
Returns the magnitude of this complex number, calculated as the square root of the sum of the squares of the real and imaginary parts.
int compareTo(Complex other) #
Compares this complex number to another complex number based on their magnitudes.
Extensions #
ComplexNumber #
Provides convenient extension methods to create complex numbers:

Complex get i - Creates a complex number with zero real part and the given numerical value as the imaginary part.
Complex get r - Creates a complex number with the given numerical value as the real part and zero imaginary part.

License #
This project is licensed under the MIT License. See the LICENSE file for details.