Added quick sort algorithm

Algorithms.hpp

@@ -68,9 +68,15 @@ std::vector<T> getAllFib(const T num);
 //This is a function that performs a bubble sort on a vector
 template <class T>
 void bubbleSort(std::vector<T>& ary);
-//This is a function that perfomrs a quick sort on a vector
+//This is a function that makes quick sort easier to start
 template <class T>
-void quickSort(std::vector<T>& ary, int bottom = -1, int top = -1);
+void quickSort(std::vector<T>& ary);
+//This is the function that actually performs the quick sort on the vector
+template <class T>
+void quickSort(std::vector<T>& ary, int64_t bottom, int64_t top);
+//This is a helper function for quickSort. It chooses a pivot element and sorts everything to larger or smaller than the pivot. Returns location of pivot
+template <class T>
+int64_t partition(std::vector<T>& ary, int64_t bottom, int64_t top);
 //This is a function that performs a search on a vector and returns the subscript of the item being searched for (-1 if not found)
 template <class T>
 int64_t search(const std::vector<T>& ary, T num);
@@ -311,7 +317,7 @@ T getFib(const T num){
 }
 
 //This function returns a vector that includes all Fibonacci numbers <= num
-template<class T>
+template <class T>
 std::vector<T> getAllFib(const T num){
 	std::vector<T> fibList;
 	//Make sure the number is within bounds
@@ -340,7 +346,7 @@ std::vector<T> getAllFib(const T num){
 }
 
 //This is a function that performs a bubble sort on a vector
-template<class T>
+template <class T>
 void bubbleSort(std::vector<T>& ary){
 	bool notFinished = true;	//A flag to determine if the loop is finished
 	for(int numLoops = 0;numLoops < ary.size();++numLoops){	//Loop until you finish
@@ -355,14 +361,55 @@ void bubbleSort(std::vector<T>& ary){
 	}
 }
 
-//This is a function that perfomrs a quick sort on a vector
-template<class T>
-void quickSort(std::vector<T>& nums, int bottom, int top){
-	
+//This is a function that makes quick sort easier to start
+template <class T>
+void quickSort(std::vector<T>& ary){
+	//Call the other quickSort function with all the necessary info
+	quickSort(ary, 0, ary.size() - 1);
+}
+
+//This is the function that actually performs the quick sort on the vector
+template <class T>
+void quickSort(std::vector<T>& ary, int64_t bottom, int64_t top){
+	//Make sure you have a valid slice of the vector
+	if(bottom < top){
+		//Get the pivot location
+		int64_t pivot = partition(ary, bottom, top);
+
+		//Sort all element less than the pivot
+		quickSort(ary, bottom, pivot - 1);
+		//Sort all element greater than the pivot
+		quickSort(ary, pivot + 1, top);
+	}
+}
+
+//This is a helper function for quickSort. It chooses a pivot element and sorts everything to larger or smaller than the pivot. Returns location of pivot
+template <class T>
+int64_t partition(std::vector<T>& ary, int64_t bottom, int64_t top){
+	int64_t pivot = ary.at(top);	//Pick a pivot element
+	int64_t smaller = bottom - 1;	//Keep track of where all elements are smaller than the pivot
+
+	//Loop through every element in the vector testing if it is smaller than pivot
+	for(int64_t cnt = bottom;cnt < top;++cnt){
+		//If the element is smaller than pivot move it to the correct location
+		if(ary.at(cnt) < pivot){
+			//Increment the tracker for elements smaller than pivot
+			++smaller;
+			//Swap the current element to the correct location for being smaller than the pivot
+			std::swap(ary.at(smaller), ary.at(cnt));
+		}
+	}
+
+	//Move the pivot element to the correct location
+	++smaller;
+	std::swap(ary.at(top), ary.at(smaller));
+
+	//Return the pivot element
+	return smaller;
 }
 
 //This is a function that performs a search on a vector and returns the subscript of the item being searched for
-template<class T>
+template <class T>
 int64_t search(const std::vector<T>& ary, T num){
 	int64_t subscript = 0;	//Start with the subscript at 0
 	//Step through every element in the vector and return the subscript if you find the correct element
@@ -379,7 +426,7 @@ int64_t search(const std::vector<T>& ary, T num){
 }
 
 //This function finds the smallest element in a vector
-template<class T>
+template <class T>
 T findMin(const std::vector<T>& ary){
 	T min;	//For the smallest element
 
@@ -401,7 +448,7 @@ T findMin(const std::vector<T>& ary){
 }
 
 //This function finds the largest element in a vector
-template<class T>
+template <class T>
 T findMax(const std::vector<T>& ary){
 	T max;	//For the largest element