Laboratory 8 Solutions
Solution to search_compare.cc code:
/*******************************************************************
 * Name: Brenda Student
 * Date: 4/2/14
 * Course: CSCI 132 Section 01
 * Assignment: Lab 8
 * Instructor: Royden
 * Program: search_compare.cc
 * Purpose: Program to count the number of comparisons made in 
 * different search algorithms: Sequential, binary search 1 and binary search 2
 ***************************************************************************/
enum Error_code { success, fail, range_error, underflow, overflow, fatal,
not_present, duplicate_error, entry_inserted, entry_found,
internal_error };
#include <iostream>
#include <cstdlib>
#include "list.h"
#include "list.cc"
#include "key.h"
#include "key.cc"
using namespace std;
typedef Key Record;
void test_search(int, List &);
int Randomize(int);
Error_code sequential_search(const List &,
              const Key &, int &);
Error_code recursive_binary_1(const List &, const Key &, 
              int, int, int &);
Error_code run_recursive_search_1(const List &,
              const Key &, int &);
Error_code recursive_binary_2(const List &, const Key &, 
              int, int, int &);
Error_code run_recursive_search_2(const List &,
              const Key &, int &);
int main()
{
  int list_size = 20, searches = 100;
  int i;
  List the_list;
  cout << "Enter the size of the list to test: " << endl;
  cin >> list_size;
  cout << "Timing and testing of search algorithms on a list of size "
       << list_size << endl << endl;
  for (i = 0; i < list_size; i++)
    if (the_list.insert(i, 2 * i + 1) != success){
      cout << " Overflow in filling list." << endl;
  }
  test_search(searches, the_list);
}
/*Testing program:*/
void print_out(string comment, int comp_ct, int searches)
{
  float average;
  cout << comment << " Search Statistics: " << endl;
  cout << "Total number of comparisons was " << comp_ct << endl;
  average = (( float )comp_ct)/ (( float )searches) ;
  cout << " Average number of comparisons per search was " << average
    << endl;
}
void test_search(int searches, List &the_list)
/*
Pre: None.
Post: The number of key comparisons and CPU time for a
sequential searching funtion
have been calculated.
Uses: Methods of the classes List, Random, and Timer,
together with an output function print_out
*/
{
  int list_size = the_list.size();
  if (searches <= 0 || list_size < 0){
    cout << " Exiting test: " << endl
      << " The number of searches must be positive." << endl
      << " The number of list entries must exceed 0." << endl;
    return;
  }
  int i, target, found_at;
  cout << "Testing successful comparisons for sequential search: " << endl;
  Key::comparisons = 0;
  
  for (i = 0; i < searches; i++){
    target = 2 * Randomize(list_size - 1)+ 1;
    if (sequential_search(the_list, target, found_at)== not_present)
      cout << "Error: Failed to find expected target " << target << endl;
  }
  print_out("Successful Sequential", Key::comparisons, searches);
  cout << endl << "Testing successful comparisons for binary search 1: "
       << endl;
  Key::comparisons = 0;
  
  for (i = 0; i < searches; i++){
    target = 2 * Randomize(list_size - 1)+ 1;
    if (run_recursive_search_1(the_list, target, found_at)== not_present)
      cout << "Error: Failed to find expected target " << target << endl;
  }
  print_out("Successful Binary Search 1", Key::comparisons, searches);
  cout << endl << "Testing successful comparisons for binary search 2: "
       << endl;
  Key::comparisons = 0;
  
  for (i = 0; i < searches; i++){
    target = 2 * Randomize(list_size - 1)+ 1;
    if (run_recursive_search_2(the_list, target, found_at)== not_present)
      cout << "Error: Failed to find expected target " << target << endl;
  }
  print_out("Successful Binary Search 2", Key::comparisons, searches);
  cout << endl <<"Testing unsuccessful searches for Sequential search: " 
       << endl;
  Key::comparisons = 0;
  for (i = 0; i < searches; i++){
    target = 2 * Randomize(list_size);
    if (sequential_search(the_list, target, found_at)== success)
    
      cout << "Error: Found unexpected target " << target
        << " at " << found_at << endl;
  }
  print_out("Unsuccessful", Key::comparisons, searches);
  cout << endl<<"Testing unsuccessful searches for Binary search 1: " 
       << endl;
  Key::comparisons = 0;
  for (i = 0; i < searches; i++){
    target = 2 * Randomize(list_size);
    if (run_recursive_search_1(the_list, target, found_at)== success)
      cout << "Error: Found unexpected target " << target
        << " at " << found_at << endl;
  }
  print_out("Unsuccessful", Key::comparisons, searches);
 
  cout << endl<<"Testing unsuccessful searches for Binary search 2: " 
       << endl;
  Key::comparisons = 0;
  for (i = 0; i < searches; i++){
    target = 2 * Randomize(list_size);
    if (run_recursive_search_2(the_list, target, found_at)== success)
    
      cout << "Error: Found unexpected target " << target
        << " at " << found_at << endl;
  }
  print_out("Unsuccessful", Key::comparisons, searches);
}
Error_code sequential_search(const List &the_list,
              const Key &target, int &position)
/*
Post: If an entry in the_list has key equal to target, then return
success and the output parameter position locates such an entry
within the list.
Otherwise return not_present and position becomes invalid.
*/
{
  int s = the_list.size();
  for (position = 0; position < s; position++){
    Record data;
    the_list.retrieve(position, data);
    if ((Key)data == target)return success;
  }
  return not_present;
}
Error_code run_recursive_search_1(const List &the_list,
              const Key &target, int &position)
/*
Post: If an entry in the_list has key equal to target, then return
success and the output parameter position locates such an entry
within the list.
Otherwise return not_present and position becomes invalid.
*/
{
  return recursive_binary_1(the_list, target, 0, the_list.size() -1, position);
}
Error_code recursive_binary_1(const List &the_list, const Key &target, 
              int bottom, int top, int &position)
  /* Pre: The indices bottom to top define the range in the list to search for the
  target.
  Post: If a Record in the range of locations from bottom to top in the_list has
  key equal to target, then position locates one such entry and a code of
  success is returned. Otherwise, the Error_code of not_present is returned
  and position becomes undefined.
  Uses: recursive_binary_1 and methods of the classes List and Record. */
{
  Record data;
  if (bottom < top) { // List has more than one entry.
    int mid = (bottom + top)/2;
    the_list.retrieve(mid, data);
    if (data < target) // Reduce to top half of list.
      return recursive_binary_1(the_list, target, mid + 1, top, position);
    else // Reduce to bottom half of list.
      return recursive_binary_1(the_list, target, bottom, mid, position);
  } else if (top < bottom)
    return not_present; // List is empty.
  else { // List has exactly one entry.
    position = bottom;
    the_list.retrieve(bottom, data);
    if (data == target) return success;
    else return not_present;
  }
}
Error_code recursive_binary_2(const List &the_list, const Key &target, 
            int bottom, int top, int &position) {
  Record data;
  if (bottom <= top) {
    int mid = (bottom + top) / 2;
    the_list.retrieve(mid, data);
    if (data == target) {
      position = mid;
      return success;
    } else if (data < target) {
      return recursive_binary_2(the_list, target, mid+1, top, position);
    } else {
      return recursive_binary_2(the_list, target, bottom, mid-1, position);
    }
  } else {
    return not_present;
  }
}
Error_code run_recursive_search_2(const List &the_list,
          const Key &target, int &position) {
  return recursive_binary_2(the_list, target, 0, the_list.size() -1, position);
}
/**********Randomize*****************************
 *Get a random number between 0 and range        *
 *************************************************/
int Randomize(int range)
{
  
  return (int)((double)rand()/((double)RAND_MAX+1.0) * (double)(range+1));
  
}    
    
             
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