From 99ad2c89815b97fc5c6c98feab48939e3bb8335e Mon Sep 17 00:00:00 2001
From: Aditya Chowdhry <adityachowdhry09@gmail.com>
Date: Sun, 28 Feb 2016 02:29:01 +0530
Subject: [PATCH 1/2] Added geometry: Distance b/w two points and congruence by
 SSS

---
 lib/unicode_math/geometry.rb       | 47 ++++++++++++++++++++++++++++++
 spec/unicode_math/geometry_spec.rb | 36 +++++++++++++++++++++++
 2 files changed, 83 insertions(+)
 create mode 100644 lib/unicode_math/geometry.rb
 create mode 100644 spec/unicode_math/geometry_spec.rb

diff --git a/lib/unicode_math/geometry.rb b/lib/unicode_math/geometry.rb
new file mode 100644
index 0000000..c6a7a8e
--- /dev/null
+++ b/lib/unicode_math/geometry.rb
@@ -0,0 +1,47 @@
+# encoding: utf-8
+
+module UnicodeMath
+  module Geometry
+    def self.included(base)
+      base.class_eval do
+      	def calculate_distance(points1,points2)
+      		Math.sqrt((points2[1]-points1[1])**2 + (points2[0]-points1[0])**2)
+      	end
+        
+        define_method('↔') do |array|
+        	calculate_distance(self,array)
+        end
+
+        define_method('≅') do |array|
+          #SSS congruency
+          	
+          dist1 = Array.new
+          dist2 = Array.new
+          if(self.size() == 1)
+          	dist1 = 1 #Points are always congruent
+          else self.size() >= 2
+          	s = self.size() - 2
+          	(0..s).each do |i|  		
+          		dist1.push(calculate_distance(self[i],self[i + 1]))
+          	end
+          		dist1.push(calculate_distance(self[s + 1],self[0]))
+          end
+
+          if(array.size() == 1)
+          	dist2 = 1 #Points are always congruent
+          else array.size() >= 2
+          	s = array.size() - 2
+          	(0..s).each do |i|  		
+          		dist2.push(calculate_distance(array[i],array[i + 1]))
+          	end
+          		dist2.push(calculate_distance(array[s + 1],array[0]))
+          end
+          
+          (dist1 == dist2)
+        end
+      end
+    end
+  end
+end
+
+Array.send(:include, UnicodeMath::Geometry)
diff --git a/spec/unicode_math/geometry_spec.rb b/spec/unicode_math/geometry_spec.rb
new file mode 100644
index 0000000..afc5540
--- /dev/null
+++ b/spec/unicode_math/geometry_spec.rb
@@ -0,0 +1,36 @@
+# encoding: utf-8
+
+require 'spec_helper'
+
+describe UnicodeMath::Geometry do
+  before do
+  	@triangle_points_1 = [[0,3],[3,0],[0,0]]
+  	@triangle_points_2 = [[0,0],[0,5],[6,0]]
+  	@line1 = [[0,0],[0,5]]
+  	@line2 = [[2,0],[0,3]]
+  	@point1 = [0,0]
+  	@point2 = [0,3]
+  end
+  
+  it 'defines congruency in triangles' do
+    expect(@triangle_points_1.≅ @triangle_points_1).to eq(true)
+  end
+
+  it 'defines congruency in triangles' do
+    expect(@triangle_points_1.≅ @triangle_points_2).to eq(false)
+  end
+
+
+  it 'defines congruent lines' do
+    expect(@line1.≅ @line1).to eq(true)
+  end
+
+  it 'defines congruent lines' do
+    expect(@line1.≅ @line2).to eq(false)
+  end
+
+  it 'defines distance between two points' do
+    expect(@point1.↔ @point2).to eq(3.0)
+  end
+
+end

From 77bfaaec90db8d7aed1413c43c7b3ec8d6b33958 Mon Sep 17 00:00:00 2001
From: Aditya Chowdhry <adityachowdhry09@gmail.com>
Date: Sun, 28 Feb 2016 12:48:08 +0530
Subject: [PATCH 2/2] Distance array required sort before comparing.

---
 lib/unicode_math/geometry.rb       | 2 ++
 spec/unicode_math/geometry_spec.rb | 7 ++++---
 2 files changed, 6 insertions(+), 3 deletions(-)

diff --git a/lib/unicode_math/geometry.rb b/lib/unicode_math/geometry.rb
index c6a7a8e..e7469d3 100644
--- a/lib/unicode_math/geometry.rb
+++ b/lib/unicode_math/geometry.rb
@@ -36,6 +36,8 @@ def calculate_distance(points1,points2)
           	end
           		dist2.push(calculate_distance(array[s + 1],array[0]))
           end
+          dist1 = dist1.sort
+          dist2 = dist2.sort
           
           (dist1 == dist2)
         end
diff --git a/spec/unicode_math/geometry_spec.rb b/spec/unicode_math/geometry_spec.rb
index afc5540..79fcd2a 100644
--- a/spec/unicode_math/geometry_spec.rb
+++ b/spec/unicode_math/geometry_spec.rb
@@ -5,7 +5,8 @@
 describe UnicodeMath::Geometry do
   before do
   	@triangle_points_1 = [[0,3],[3,0],[0,0]]
-  	@triangle_points_2 = [[0,0],[0,5],[6,0]]
+    @triangle_points_2 = [[0,3],[0,0],[3,0]]
+  	@triangle_points_3 = [[0,0],[0,5],[6,0]]
   	@line1 = [[0,0],[0,5]]
   	@line2 = [[2,0],[0,3]]
   	@point1 = [0,0]
@@ -13,11 +14,11 @@
   end
   
   it 'defines congruency in triangles' do
-    expect(@triangle_points_1.≅ @triangle_points_1).to eq(true)
+    expect(@triangle_points_1.≅ @triangle_points_2).to eq(true)
   end
 
   it 'defines congruency in triangles' do
-    expect(@triangle_points_1.≅ @triangle_points_2).to eq(false)
+    expect(@triangle_points_1.≅ @triangle_points_3).to eq(false)
   end