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//sortedList14.cpp //date: 10/09/2002 //author: AOU //////////////////////////////////////////////////////////// // Include files //////////////////////////////////////////////////////////// #include<iostream.h> #include<math.h> #include<stdlib.h> #include<time.h> //////////////////////////////////////////////////////////// // Constants //////////////////////////////////////////////////////////// const int ARRAY_SIZE = 10; const int UNDEFINED = -9999; const int MAX_VALUE = 99; const int TEST_COUNT = 10; //////////////////////////////////////////////////////////// // Test function prototypes //////////////////////////////////////////////////////////// void testSortBubble2(void); void testSearchSeq(void); void testSearchBinary(void); void testSearchBinaryLM(void); void testDisplayDistinct(void); void testDisplayDistinctWithCounts(void); void testRemove(void); void testSortInsertion1(void); void testAssignOperator(void); //////////////////////////////////////////////////////////// // Class CSortedList //////////////////////////////////////////////////////////// class CSortedList { private: int m_array[ARRAY_SIZE]; int m_count; int m_min; int m_max; public: CSortedList(void); CSortedList(char ch); CSortedList(int n); //2002.10.02 void display(void) const; bool insert(int x); bool isSorted(void) const; void sortBubble1(void); void sortBubble2(void); void sortInsertion1(void); //2002.10.07 void shuffle(void); int searchSeq(int x) const; int searchBinary(int x) const; //2002.09.23 int searchBinaryLM(int x) const; //2002.09.25 void displayDistinct(void) const; void displayDistinctWithCounts(void) const; bool remove(int x); //2002.09.30 int getAt(int p); //2002.10.02 int getCount(void); //2002.10.04 bool operator ==(CSortedList list2); //2002.10.09 }; //////////////////////////////////////////////////////////// // main function //////////////////////////////////////////////////////////// void main(void) { srand(time(NULL)); //testSortBubble2(); //testSearchSeq(); //testSearchBinary(); //testSearchBinaryLM(); //testDisplayDistinct(); //testDisplayDistinctWithCounts(); //testRemove(); //testSortInsertion1(); testAssignOperator(); } //////////////////////////////////////////////////////////// // EqualOperator //////////////////////////////////////////////////////////// bool CSortedList::operator ==(CSortedList list2) { if (this->m_count != list2.m_count) return false; for (int i=0; i<this->m_count; i++) if (this->m_array[i] != list2.m_array[i]) return false; return true; } //////////////////////////////////////////////////////////// // testAssignOperator //////////////////////////////////////////////////////////// void testAssignOperator(void) { CSortedList myList('r'), yourList(4), hisList('r'); cout << "myList\n"; myList.display(); cout << "yourList\n"; yourList.display(); cout << "hisList\n"; hisList.display(); if (myList.operator == (yourList)) cout << "myList == yourList\n"; else cout << "myList != yourList\n"; myList = yourList = hisList; cout << "After myList = yourList;\n"; cout << "myList\n"; myList.display(); cout << "yourList\n"; yourList.display(); cout << "hisList\n"; hisList.display(); int a=3, b=4, c=5; cout << a << ' ' << b << ' ' << c << endl; a = b = c; cout << a << ' ' << b << ' ' << c << endl; if (myList == yourList) cout << "myList == yourList\n"; else cout << "myList != yourList\n"; } //////////////////////////////////////////////////////////// // sortInsertion1 //////////////////////////////////////////////////////////// void CSortedList::sortInsertion1(void) { int i, temp; bool sorted = false; while (!sorted) { sorted = true; for (i=m_count-2; i>=0; i--) { if (m_array[i] > m_array[i+1]) { temp = m_array[i]; m_array[i] = m_array[i+1]; m_array[i+1] = temp; sorted = false; } } //end for }//end while } //////////////////////////////////////////////////////////// // testSortInsertion1 //////////////////////////////////////////////////////////// void testSortInsertion1(void) { for (int i=1; i<=10; i++) { CSortedList myList('r'); cout << "Original list\n"; myList.display(); if (myList.isSorted()) cout << " List is SORTED\n"; else cout << " List is NOT SORTED\n"; myList.shuffle(); cout << "Shuffled list\n"; myList.display(); if (myList.isSorted()) cout << " List is SORTED\n"; else cout << " List is NOT SORTED\n"; myList.sortInsertion1(); cout << "After sortInsertion1\n"; myList.display(); if (myList.isSorted()) cout << " List is SORTED\n"; else cout << " List is NOT SORTED\n"; cout << "-------------------\n"; } } //////////////////////////////////////////////////////////// // getAt(int p) //////////////////////////////////////////////////////////// int CSortedList::getAt(int p) { if ((p < m_count) && (p >= 0)) return this->m_array[p]; else return UNDEFINED; }; //////////////////////////////////////////////////////////// // getCount(void) //////////////////////////////////////////////////////////// int CSortedList::getCount(void) { return this->m_count; }; //////////////////////////////////////////////////////////// // CSortedList(int n) //////////////////////////////////////////////////////////// CSortedList::CSortedList(int n) { this->m_count = 0; int x; for (int i=0; i<n; i++) { x = rand()%(MAX_VALUE+1); this->insert(x); } } //////////////////////////////////////////////////////////// // remove(x) //////////////////////////////////////////////////////////// /* Algorithm0: Search for x if not found return false put position of x in p shiftLeft all values on right of p return true Algorithm1: Search for x if not found return false put position of x in p for i= p to count-2 array[i] = array[i+1] end for count-- return true */ bool CSortedList::remove(int x) { int p = searchSeq(x); if (-1 == p) return false; //shift left starting at p+1 for (int i=p; i<=m_count-2; i++) m_array[i] = m_array[i+1]; this->m_count--; return true; } //////////////////////////////////////////////////////////// // testRemove() //////////////////////////////////////////////////////////// void testRemove(void) { /* TEST CASES0: list with count=0 list with count=1, x is not in the list list with count=1, x is in the list list with count=2, x is not in the list list with count=2, x is at 0 position list with count=2, x is at count-1 position list with count>2, x is not in the list list with count>2, x is at 0 position list with count>2, x is at count-1 position list with count>2, x is at position [1..count-2] ------------------------------------------------- TEST CASES1: list with count=0 list with count=1, x is not in the list list with count=1, x is in the list list with count>1, x is not in the list list with count>1, x is at 0 position list with count>1, x is at count-1 position list with count>2, x is at position [1..count-2] */ cout << "Case0: Random cases:\n\n"; for (int j=1; j<=5; j++) { CSortedList myList('r'); int x; bool result; myList.display(); for (int i=0; i<10; i++) { x = rand()%(MAX_VALUE+1); result = myList.remove(x); if (result) cout << x << " was deleted from the list\n"; else cout << x << " could not be deleted from the list\n"; myList.display(); cout << endl; } cout << "----------------------------------\n"; } //list with count=0 { cout << "Case1: //list with count=0\n\n"; CSortedList myList; int x; bool result; myList.display(); x = rand()%(MAX_VALUE+1); result = myList.remove(x); if (result) cout << x << " was deleted from the list\n\n"; else cout << x << " could not be deleted from the list\n"; myList.display(); cout << "********************************" << endl; } //list with count=1, x is not in the list { cout << "Case2: //list with count=1, x is not in the list\n\n"; CSortedList myList(1); int x = MAX_VALUE+1; bool result; myList.display(); result = myList.remove(x); if (result) cout << x << " was deleted from the list\n"; else cout << x << " could not be deleted from the list\n"; myList.display(); cout << "********************************" << endl; } //list with count=1, x is in the list { cout << "Case3: //list with count=1, x is in the list\n\n"; CSortedList myList(1); int x = myList.getAt(0); bool result; myList.display(); result = myList.remove(x); if (result) cout << x << " was deleted from the list\n"; else cout << x << " could not be deleted from the list\n"; myList.display(); cout << "********************************" << endl; } //list with count>1, x is not in the list { cout << "Case4: //list with count>1, x is not in the list\n\n"; CSortedList myList(rand()%(ARRAY_SIZE-1) + 2); int x = rand()%MAX_VALUE + MAX_VALUE + 1; bool result; myList.display(); result = myList.remove(x); if (result) cout << x << " was deleted from the list\n"; else cout << x << " could not be deleted from the list\n"; myList.display(); cout << "********************************" << endl; } //list with count>1, x is at 0 position { cout << "Case5: //list with count>1, x is at 0 position\n\n"; CSortedList myList(rand()%(ARRAY_SIZE-1) + 2); int x = myList.getAt(0); bool result; myList.display(); result = myList.remove(x); if (result) cout << x << " was deleted from the list\n"; else cout << x << " could not be deleted from the list\n"; myList.display(); cout << "********************************" << endl; } //list with count>1, x is at count-1 position { cout << "Case6: //list with count>1, x is at count-1 position\n\n"; CSortedList myList(rand()%(ARRAY_SIZE-1) + 2); int x = myList.getAt(myList.getCount()-1); bool result; myList.display(); result = myList.remove(x); if (result) cout << x << " was deleted from the list\n"; else cout << x << " could not be deleted from the list\n"; myList.display(); cout << "********************************" << endl; } //list with count>2, x is at position [1..count-2] { cout << "Case7: //list with count>2, x is at position [1..count-2]\n\n"; CSortedList myList(rand()%(ARRAY_SIZE-1) + 2); int p = 1 + rand()%(myList.getCount()-2); int x = myList.getAt(p); bool result; myList.display(); result = myList.remove(x); if (result) cout << x << " was deleted from the list\n"; else cout << x << " could not be deleted from the list\n"; myList.display(); cout << "********************************" << endl; } } //////////////////////////////////////////////////////////// // displayDistinctWithCounts() //////////////////////////////////////////////////////////// void CSortedList::displayDistinctWithCounts(void) const { cout << "Missing code for displayDistinctWithCounts\n"; } //////////////////////////////////////////////////////////// // testDisplayDistinctWithCounts() //////////////////////////////////////////////////////////// void testDisplayDistinctWithCounts(void) { for (int j=1; j<=TEST_COUNT; j++) { CSortedList myList('r'); myList.display(); myList.displayDistinctWithCounts(); cout << "-----------------\n"; } } //////////////////////////////////////////////////////////// // displayDistinct() //////////////////////////////////////////////////////////// void CSortedList::displayDistinct(void) const { cout << "Missing code for displayDistinct\n"; } //////////////////////////////////////////////////////////// // testDisplayDistinct() //////////////////////////////////////////////////////////// void testDisplayDistinct(void) { for (int j=1; j<=TEST_COUNT; j++) { CSortedList myList('r'); myList.display(); myList.displayDistinct(); cout << "-----------------\n"; } } //////////////////////////////////////////////////////////// // searchBinaryLM(x) //////////////////////////////////////////////////////////// /* Given sorted array[0..count-1], x [12, 23, 23, 29, 32], 23 => 1 [12, 23, 27, 27, 32], 24 => 2 Algorithm0: Find the position of x in p using binary search if not found then return -1 while (value at p-1 is same as at p) p-- end while */ int CSortedList::searchBinaryLM(int x) const { int p; p = this->searchBinary(x); if (-1 == p) return -1; while((p>0) && (this->m_array[p] == this->m_array[p-1])) p--; return p; } //////////////////////////////////////////////////////////// // testSearchBinaryLM //////////////////////////////////////////////////////////// void testSearchBinaryLM(void) { for (int j=1; j<=5; j++) { CSortedList myList('r'); int x, p1, p2; myList.display(); for (int i=0; i<10; i++) { x = rand()%(MAX_VALUE+1); p1 = myList.searchBinaryLM(x); cout << x << " was found at position " << p1 << endl; p2 = myList.searchSeq(x); cout << x << " was found at position " << p2 << endl; if (p1 != p2) cout << "***************************\n"; cout << endl; } cout << "-----------------\n"; } } //////////////////////////////////////////////////////////// // searchBinary(x) //////////////////////////////////////////////////////////// /* Given sorted array[0..count-1], x [12, 23, 27, 29, 32], 27 => 2 [12, 23, 27, 29, 32], 24 => -1 Algorithm0: while there is a list to be searched calculate mid point of the list to be searched if x = array[mid] then return mid find out which half of the list to be searched end while Algorithm1: */ int CSortedList::searchBinary(int x) const { int lower, upper, mid; lower = 0; upper = this->m_count-1; while (lower <= upper) { mid = (lower+upper)/2; if (x == this->m_array[mid]) return mid; if (x < this->m_array[mid]) upper = mid-1; if (x > this->m_array[mid]) lower = mid+1; } return -1; } //////////////////////////////////////////////////////////// // testSearchBinary //////////////////////////////////////////////////////////// void testSearchBinary(void) { for (int j=1; j<=5; j++) { CSortedList myList('r'); int x, p; myList.display(); for (int i=0; i<10; i++) { x = rand()%(MAX_VALUE+1); p = myList.searchBinary(x); cout << x << " was found at position " << p << endl; p = myList.searchSeq(x); cout << x << " was found at position " << p << endl; } cout << "-----------------\n"; } } //////////////////////////////////////////////////////////// // searchSeq(x) //////////////////////////////////////////////////////////// /*Given sorted array[0..count-1], x [12, 23, 27, 29, 32], 27 => 2 [12, 23, 27, 29, 32], 24 => -1 Algorithm0: search for x from left to right in array[] if found return the position return -1 Algorithm1: for i=0 to count-1 do the following if x = array[i] then return i end for return -1 Algorithm2: for i=0 to count-1 do the following if x = array[i] then return i if x < array[i] then exit for loop end for return -1 */ int CSortedList::searchSeq(int x) const { for (int i=0; i<=this->m_count-1; i++) { if (x == m_array[i]) return i; if (x < this->m_array[i]) break; } return -1; } //////////////////////////////////////////////////////////// // testSearchSeq //////////////////////////////////////////////////////////// void testSearchSeq(void) { for (int j=1; j<=5; j++) { CSortedList myList('r'); int x, p; myList.display(); for (int i=0; i<10; i++) { x = rand()%(MAX_VALUE+1); p = myList.searchSeq(x); cout << x << " was found at position " << p << endl; } cout << "-----------------\n"; } } //////////////////////////////////////////////////////////// // CSortedList(void) //////////////////////////////////////////////////////////// CSortedList::CSortedList(void) { this->m_count = 0; this->m_min = UNDEFINED; this->m_max = UNDEFINED; } //////////////////////////////////////////////////////////// // CSortedList(char ch) //////////////////////////////////////////////////////////// CSortedList::CSortedList(char ch) { this->m_count = 0; int x, n; if ('r' == ch) { n = rand()%ARRAY_SIZE+1; for (int i=0; i<n; i++) { x = rand()%(MAX_VALUE+1); this->insert(x); } } } //////////////////////////////////////////////////////////// // display(void) //////////////////////////////////////////////////////////// void CSortedList::display(void) const { cout << "SortedList(" << this->m_count << ")= "; for (int i=0; i<this->m_count; i++) cout << this->m_array[i] << ' '; cout << endl; } //////////////////////////////////////////////////////////// // insert(int x) //////////////////////////////////////////////////////////// bool CSortedList::insert(int x) { //allow duplicate values /* there is no room then return false there is room then add to the end, sort, return true */ if (ARRAY_SIZE == this->m_count) return false; else { this->m_array[m_count] = x; this->m_count++; this->sortInsertion1(); return true; } } //////////////////////////////////////////////////////////// // sortBubble1(void) //////////////////////////////////////////////////////////// void CSortedList::sortBubble1(void) { int j; for (int i=1; i<=this->m_count-1; i++) { for (j=0; j<=this->m_count-2; j++) { if (this->m_array[j] > this->m_array[j+1]) { int temp = this->m_array[j]; this->m_array[j] = this->m_array[j+1]; this->m_array[j+1] = temp; } } } } //////////////////////////////////////////////////////////// // sortBubble2(void) //////////////////////////////////////////////////////////// /* Algorithm0: do swaps =0 make one pass trying to put items in order until swaps == 0 Algorithm1: sorted = false while not sorted sorted = true make one pass trying to put items in order end while Algorithm2: sorted = false while not sorted sorted = true for i= 0 to m_count-2 do the following if m_array[i] > m_array[i+1] then swap m_array[i], m_array[i+1] sorted = false end if end for end while */ void CSortedList::sortBubble2(void) { int i, temp; bool sorted = false; while (!sorted) { sorted = true; for (i= 0; i<=m_count-2; i++) { if (m_array[i] > m_array[i+1]) { temp = m_array[i]; m_array[i] = m_array[i+1]; m_array[i+1] = temp; sorted = false; } } //end for }//end while } //////////////////////////////////////////////////////////// // testSortBubble2(void) //////////////////////////////////////////////////////////// void testSortBubble2(void) { for (int i=1; i<=10; i++) { CSortedList myList('r'); cout << "Original list\n"; myList.display(); if (myList.isSorted()) cout << " List is SORTED\n"; else cout << " List is NOT SORTED\n"; myList.shuffle(); cout << "Shuffled list\n"; myList.display(); if (myList.isSorted()) cout << " List is SORTED\n"; else cout << " List is NOT SORTED\n"; myList.sortBubble2(); cout << "After sortBubble2\n"; myList.display(); if (myList.isSorted()) cout << " List is SORTED\n"; else cout << " List is NOT SORTED\n"; cout << "-------------------\n"; } } //////////////////////////////////////////////////////////// // isSorted(void) //////////////////////////////////////////////////////////// bool CSortedList::isSorted(void) const { for (int i=0; i<=this->m_count-2; i++) if (this->m_array[i] > this->m_array[i+1]) return false; return true; } //////////////////////////////////////////////////////////// // shuffle(void) //////////////////////////////////////////////////////////// void CSortedList::shuffle(void) { int picked, temp; for (int i=0; i<=this->m_count-1; i++) { picked = rand()%this->m_count; temp = this->m_array[0]; this->m_array[0] = this->m_array[picked]; this->m_array[picked] = temp; } } /* SAMPLE RUN: myList SortedList(5)= 38 66 69 74 75 yourList SortedList(4)= 1 49 59 92 hisList SortedList(7)= 16 28 66 75 82 85 91 myList != yourList After myList = yourList; myList SortedList(7)= 16 28 66 75 82 85 91 yourList SortedList(7)= 16 28 66 75 82 85 91 hisList SortedList(7)= 16 28 66 75 82 85 91 3 4 5 5 5 5 myList == yourList Press any key to continue */ |