Solution01
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//Date:   2003.03.26
//Author: AOU
//File:   areDistinct5_p01.cpp

/*  Project01  Assigned 2/3/2003, Due 2/10/2003
    develop deleteAtPos, testDeleteAtPos, 
            purgeDupes,  testPurgeDupes
    Submit:
                                    function  testFunction
      Function description          yes       yes         
      Examples                      yes       no
      Algorithm                     yes       yes
      Source code                   yes       yes
      Output from test cases (10)   no        yes
*/



///////////////////////////////////////////////////////////
// include files
///////////////////////////////////////////////////////////
#include <iostream.h>
#include <stdlib.h>


///////////////////////////////////////////////////////////
// prototypes
///////////////////////////////////////////////////////////
bool areDistinct(int a[], int n);
void populate(int a[], int &n);
void display(int a[], int n);
void testAreDistinct(void);
bool searchSeq(int a[], int n, int x);
void testSearchSeq(void);

bool deleteAtPos(int a[], int &n, int id);
void testDeleteAtPos(void);

void purgeDupes(int a[], int &n);
void testPurgeDupes(void);



///////////////////////////////////////////////////////////
// constants
///////////////////////////////////////////////////////////
const int MAX_COUNT = 10; //maximum size of array
const int MAX_VALUE = 5;


///////////////////////////////////////////////////////////
// main function
///////////////////////////////////////////////////////////
void main(void)
  {
  //testAreDistinct();
  //testSearchSeq();
  testDeleteAtPos();
  testPurgeDupes();
  }


///////////////////////////////////////////////////////////
///////////////////////////////////////////////////////////
/*
void purgeDupes2(int a[], int &n)
from first to last-1 value do the following
  while there a matching value on the right side do the following
    delete the matching value on the right side
  advance to right
  end loop
*/
void purgeDupes2(int a[], int &n)
  {
  }


///////////////////////////////////////////////////////////
// void purgeDupes(int a[], int &n)
///////////////////////////////////////////////////////////
/*
purgeDupes
Description:
This function deletes duplicate values from an array


Example:
before: a[] = {2, 3, 2, 4, 5, 3}, n = 6
        a[] = {2, 3, 4, 5, 3},    n = 5
        a[] = {2, 3, 4, 5},       n = 4

after:  a[] = {2, 3, 4, 5},       n = 4

Algorithm0:
Handle special cases first
from second value to the last value do the following
  if this value is in the left sublist then delete it

Algorithm1:
//Handle special cases first
  if n=1 or n=0 then exit function
from second value to the last value do the following
  if current value matches a value on the left then 
      delete the current value
    else
      advance to the next value

Algorithm2:
//Handle special cases first
  if n=1 or n=0 then exit function
i = 1
while i less than or equal to n-1
  //if current value matches a value on the left then 
  matchFound = false
  for j=0 to i-1
    if a[i] = a[j] then
      matchFound = true
      exit for loop
    end for

  if matchFound is true 
      delete the value at i (n is decreased by delete function)
    else
      i++

  end while


Source Code:
void purgeDupes(int a[], int &n)
  {
  }

Output:
case#1:
before: a[] = {2, 3, 2, 4, 5, 3}, n = 6
after:  a[] = {2, 3, 4, 5},       n = 4
*/
void purgeDupes(int a[], int &n)
  {
  //Handle special cases first
  if (1==n || 0==n)
      return;

  int i = 1;
  while (i <= n-1)
    {
    //if current value matches a value on the left then 
    bool matchFound = false;
    for (int j=0; j<=i-1; j++)
      {
      if (a[i] == a[j])
        {
        matchFound = true;
        break;
        }
      }

    if (matchFound)
        deleteAtPos(a,n,i);
      else
        i++;

    }
  }


///////////////////////////////////////////////////////////
// void testPurgeDupes(void)
///////////////////////////////////////////////////////////
void testPurgeDupes(void)
  {
  cout << "testPurgeDupes\n";
  cout << "==============\n";

  int a[MAX_COUNT];
  int n;

  for (int p=1; p <= 10; p++)
    {
    cout << "Case #" << p << endl;

    populate(a, n);

    cout << "Before call to testPurgeDupes\n";
    display(a, n);

    purgeDupes(a, n);

    cout << "After call to testPurgeDupes\n";
    display(a, n);

    cout << "--------------------------------------\n";
    }
  }


///////////////////////////////////////////////////////////
// bool deleteAtPos(int a[], int &n, int id)
///////////////////////////////////////////////////////////
/*
deleteAtPos
Description:
This function deletes a value from an array given the 
index of the value

Example:
before: a[] = {2, 3, 2, 4, 5, 3}, n = 6, id=2
after:  a[] = {2, 3, 4, 5, 3},    n = 5, id=2

before: a[] = {20, 30, 20, 40, 50, 30}, n = 6, id=5
after:  a[] = {20, 30, 20, 40, 50},     n = 5, id=5

Algorithm0:
Handle special cases first
Move values at id+1 to id
               id+2 to id+1
               id+3 to id+2
               ...
               n-1  to n-2

Decrease value of n by 1

Algorithm1:
//Handle special cases first
if id < 0 or id>=n then 
    return false

//shift necessary values to left
for i=id to n-2 do the following
  a[i] = a[i+1]

Decrease value of n by 1
return true

Output:
case#1:
before: a[] = {2, 3, 2, 4, 5, 3}, n = 6, id=2
after:  a[] = {2, 3, 4, 5, 3},    n = 5, id=2
*/

bool deleteAtPos(int a[], int &n, int id)
  {
  //Handle special cases first
  if ((id<0) || (id>=n))  
      return false;

  for (int i=id; i<=n-2; i++)
    a[i] = a[i+1];

  n--;
  return true;
  }


///////////////////////////////////////////////////////////
// void testDeleteAtPos(void)
///////////////////////////////////////////////////////////
void testDeleteAtPos(void)
  {
  cout << "testDeleteAtPos\n";
  cout << "===============\n";

  int a[MAX_COUNT];
  int n;
  int id, tRand;
  bool success;

  for (int p=1; p <= 10; p++)
    {
    cout << "Case #" << p << endl;

    populate(a, n);

    cout << "Before call to deleteAtPos\n";
    display(a, n);

    //id = rand()%(MAX_COUNT)-1;
    id = rand()%(n+1) - 1;
    //id = rand()%(MAX_COUNT);
    //id = rand()%n;

    //10% id<0, 10% id>=n, 80% id is [0,n-1]
    tRand = 1 + rand()%100;
    if (tRand<=10)
        id = -1;
      else if (tRand>=91)
        id = n;
      else if (n!=0 && tRand>=11 && tRand<=90)
        id = rand()%n;
      else
        id = -1;
    
    cout << "Trying to delete value at " << id << endl;

    success = deleteAtPos(a, n, id);

    if (success)
        cout << "deletion was successful\n";
      else
        cout << "deletion was NOT successful\n";
  
    cout << "After call to deleteAtPos\n";
    display(a, n);

    cout << "--------------------------------------\n";
    }
  }


///////////////////////////////////////////////////////////
// void testSearchSeq(void)
///////////////////////////////////////////////////////////
void testSearchSeq(void)
  {
  cout << "testSearchSeq\n";
  cout << "=============\n";

  int a[MAX_COUNT];
  int n;
  int x;

  for (int p=1; p <= 10; p++)
    {
    cout << "Case #" << p << endl;
    populate(a, n);
    display(a, n);

    x = rand()%(MAX_VALUE+1);


    if (searchSeq(a, n, x))
        cout << x << " is in the Array\n";
      else
        cout << x << " is NOT in the Array\n";
    cout << "--------------------------------------\n";
    }
  }


///////////////////////////////////////////////////////////
// bool searchSeq(int a[], int n, int x)
///////////////////////////////////////////////////////////
/*
Algorithm:
  do the following for i=0 to n-1
    if x = a[i] then
        return true
    next i

  return false

*/
bool searchSeq(int a[], int n, int x)
  {
  for (int i=0; i<=n-1; i++)
    if (x == a[i])
        return true;

  return false;
  }


///////////////////////////////////////////////////////////
// void testAreDistinct(void)
///////////////////////////////////////////////////////////
void testAreDistinct(void)
  {
  cout << "testAreDistinct\n";
  cout << "===============\n";

  int a[MAX_COUNT];
  int n;

  for (int p=1; p <= 10; p++)
    {
    cout << "Case #" << p << endl;
    populate(a, n);
    display(a, n);

    if (areDistinct(a, n))
        cout << "Array has distinct values\n";
      else
        cout << "Array does not have distinct values\n";
    cout << "--------------------------------------\n";
    }
  }


///////////////////////////////////////////////////////////
// bool areDistinct(int a[], int n)
///////////////////////////////////////////////////////////
/* A function to check if all the values are unique/distinct

   Algorithm
    if n <= 1 then 
        return true
      else
        do the following for i=1 to n-1
          do the following for j=0 to i-1
            if a[i] = a[j] then
                return false
            next j
          next i
        return true

*/
bool areDistinct(int a[], int n)
  {
  if (n <= 1) 
      return true;
    else
      {
      for (int i=1; i<=n-1; i++)
        if (searchSeq(a, i, a[i]))
            return false;

        /*
        for (j=0; j<=i-1; j++)
          if (a[i] == a[j])
              return false;
        */
      return true;
      }
  }
      

///////////////////////////////////////////////////////////
// void populate(int a[], int &n)
///////////////////////////////////////////////////////////
//A function to fill an array (a) with random values
/*
Algorithm
  n = random number between 0 to MAX_COUNT
  do the following for i=0 to n-1
    a[i] = random number between 0 to MAX_VALUE

*/
void populate(int a[], int &n)
  {
  n = rand()%(MAX_COUNT+1);
  for (int i=0; i<=n-1; i++)
    a[i] = rand()%(MAX_VALUE+1);
  }


///////////////////////////////////////////////////////////
// void display(int a[], int n)
///////////////////////////////////////////////////////////
void display(int a[], int n)
  {
  cout << "a[" << n << "]=";
  for (int i=0; i<=n-1; i++)
    cout << a[i] << ' ';

  cout << endl;
  }


///////////////////////////////////////////////////////////
// SAMPLE OUTPUT
///////////////////////////////////////////////////////////
/*
testDeleteAtPos
===============
Case #1
Before call to deleteAtPos
a[8]=5 4 4 5 4 0 0 4
Trying to delete value at -1
deletion was NOT successful
After call to deleteAtPos
a[8]=5 4 4 5 4 0 0 4
--------------------------------------
Case #2
Before call to deleteAtPos
a[7]=1 3 1 5 1 2 3
Trying to delete value at 7
deletion was NOT successful
After call to deleteAtPos
a[7]=1 3 1 5 1 2 3
--------------------------------------
Case #3
Before call to deleteAtPos
a[7]=2 3 4 4 3 2 2
Trying to delete value at 5
deletion was successful
After call to deleteAtPos
a[6]=2 3 4 4 3 2
--------------------------------------
Case #4
Before call to deleteAtPos
a[9]=0 3 4 5 1 1 0 5 3
Trying to delete value at 6
deletion was successful
After call to deleteAtPos
a[8]=0 3 4 5 1 1 5 3
--------------------------------------
Case #5
Before call to deleteAtPos
a[0]=
Trying to delete value at -1
deletion was NOT successful
After call to deleteAtPos
a[0]=
--------------------------------------
Case #6
Before call to deleteAtPos
a[5]=4 5 2 4 3
Trying to delete value at 3
deletion was successful
After call to deleteAtPos
a[4]=4 5 2 3
--------------------------------------
Case #7
Before call to deleteAtPos
a[6]=1 4 4 5 2 0
Trying to delete value at -1
deletion was NOT successful
After call to deleteAtPos
a[6]=1 4 4 5 2 0
--------------------------------------
Case #8
Before call to deleteAtPos
a[9]=2 4 4 2 3 2 3 4 2
Trying to delete value at -1
deletion was NOT successful
After call to deleteAtPos
a[9]=2 4 4 2 3 2 3 4 2
--------------------------------------
Case #9
Before call to deleteAtPos
a[6]=2 3 5 0 4 0
Trying to delete value at 2
deletion was successful
After call to deleteAtPos
a[5]=2 3 0 4 0
--------------------------------------
Case #10
Before call to deleteAtPos
a[5]=4 0 3 2 1
Trying to delete value at 3
deletion was successful
After call to deleteAtPos
a[4]=4 0 3 1
--------------------------------------
testPurgeDupes
==============
Case #1
Before call to testPurgeDupes
a[3]=3 5 3
After call to testPurgeDupes
a[2]=3 5
--------------------------------------
Case #2
Before call to testPurgeDupes
a[7]=1 0 0 0 3 2 5
After call to testPurgeDupes
a[5]=1 0 3 2 5
--------------------------------------
Case #3
Before call to testPurgeDupes
a[1]=5
After call to testPurgeDupes
a[1]=5
--------------------------------------
Case #4
Before call to testPurgeDupes
a[2]=2 4
After call to testPurgeDupes
a[2]=2 4
--------------------------------------
Case #5
Before call to testPurgeDupes
a[0]=
After call to testPurgeDupes
a[0]=
--------------------------------------
Case #6
Before call to testPurgeDupes
a[10]=5 3 3 0 4 0 5 0 5 5
After call to testPurgeDupes
a[4]=5 3 0 4
--------------------------------------
Case #7
Before call to testPurgeDupes
a[5]=4 5 4 2 4
After call to testPurgeDupes
a[3]=4 5 2
--------------------------------------
Case #8
Before call to testPurgeDupes
a[1]=4
After call to testPurgeDupes
a[1]=4
--------------------------------------
Case #9
Before call to testPurgeDupes
a[7]=4 3 5 1 3 1 5
After call to testPurgeDupes
a[4]=4 3 5 1
--------------------------------------
Case #10
Before call to testPurgeDupes
a[0]=
After call to testPurgeDupes
a[0]=
--------------------------------------
Press any key to continue
*/