exercism 84 Complex Numbers

Author: kumar91gopi

README.md

@@ -309,6 +309,7 @@ solution of many challenges of [Leetcode](https://leetcode.com/), [Exercism](htt
 81. [Prime Factors](https://github.com/kumar91gopi/Algorithms-and-Data-Structures-in-Ruby/blob/master/exercism/prime_factors.rb)
 82. [Linked List](https://github.com/kumar91gopi/Algorithms-and-Data-Structures-in-Ruby/blob/master/exercism/linked_list.rb)
 83. [ISBN Verifier](https://github.com/kumar91gopi/Algorithms-and-Data-Structures-in-Ruby/blob/master/exercism/isbn_verifier.rb)
+84. [Complex Number](https://github.com/kumar91gopi/Algorithms-and-Data-Structures-in-Ruby/blob/master/exercism/complex_number.rb)
 
 <a name="leetcode"/>
 

exercism/complex_number.rb

@@ -0,0 +1,58 @@
+# Problem
+
+# Solution
+class ComplexNumber
+    attr_accessor :real,:imaginary
+    
+    def initialize(real=0,imaginary=0)
+      @real = real
+      @imaginary = imaginary
+    end
+
+    def +(other)
+      raise ArgumentError unless other.is_a?(ComplexNumber)
+      real = self.real + other.real
+      imaginary = self.imaginary + other.imaginary
+      ComplexNumber.new(real,imaginary)
+    end
+
+    def -(other)
+      raise ArgumentError unless other.is_a?(ComplexNumber)
+      real = self.real - other.real
+      imaginary = self.imaginary - other.imaginary
+      ComplexNumber.new(real,imaginary)
+    end
+
+    def *(other)
+      raise ArgumentError unless other.is_a?(ComplexNumber)
+      real = (self.real*other.real)-(self.imaginary*other.imaginary)
+      imaginary = (self.real*other.imaginary)+(self.imaginary*other.real)
+      ComplexNumber.new(real,imaginary)
+    end
+
+    def /(other)
+      raise ArgumentError unless other.is_a?(ComplexNumber)
+      real = ((self.real*other.real)+(self.imaginary*other.imaginary) )/ other.abs**2
+      imaginary = ((self.imaginary*other.real)-(self.real*other.imaginary)) / other.abs**2
+      ComplexNumber.new(real,imaginary)
+    end
+
+    def ==(other)
+      raise ArgumentError unless other.is_a?(ComplexNumber)
+      (self.real-other.real).abs <1e-15 and (self.imaginary-other.imaginary).abs < 1e-15
+    end
+    
+    def abs
+      Math.sqrt(@real**2+@imaginary**2)
+    end
+
+    def conjugate
+      ComplexNumber.new(@real,-1*@imaginary)
+    end
+
+    def exp
+      real = Math.exp(@real)*Math.cos(@imaginary)
+      imaginary = Math.exp(@real)*Math.sin(@imaginary)
+      ComplexNumber.new(real,imaginary)
+    end
+end