1. EC-111 Algorithms & Computing Lecture #9 Instructor: Jahan Zeb Department of Computer Engineering (DCE) College of E&ME NUST

2. Searching Arrays: Linear Search  Search array for a key value  Linear search –Compare each element of array with key value Start at one end, go to other –Useful for small and unsorted arrays Inefficient If search key not present, examines every element

3. 1 // Fig. 4.19: fig04_19.cpp 2 // Linear search of an array. 3 #include 4 5 using std::cout; 6 using std::cin; 7 using std::endl; 8 9 int linearSearch( const int [], int, int ); // prototype 10 11 int main() 12 { 13 const int arraySize = 100; // size of array a 14 int a[ arraySize ]; // create array a 15 int searchKey; // value to locate in a 16 17 for ( int i = 0; i < arraySize; i++ ) // create some data 18 a[ i ] = 2 * i; 19 20 cout << "Enter integer search key: "; 21 cin >> searchKey; 22 23 // attempt to locate searchKey in array a 24 int element = linearSearch( a, searchKey, arraySize ); 25 Takes array, search key, and array size.

4. 26 // display results 27 if ( element != -1 ) 28 cout << "Found value in location " << element << endl; 29 else 30 cout << "Value not found" << endl; 31 32 return 0; // indicates successful termination 33 34 } // end main 35 36 // compare key to every element of array until location is 37 // found or until end of array is reached; return subscript of 38 // element if key or -1 if key not found 39 int linearSearch( const int array[], int key, int sizeOfArray ) 40 { 41 for ( int j = 0; j < sizeOfArray; j++ ) 42 43 if ( array[ j ] == key ) // if found, 44 return j; // return location of key 45 46 return -1; // key not found 47 48 } // end function linearSearch

5. Enter integer search key: 36 Found value in location 18 Enter integer search key: 37 Value not found

6. Multiple-Subscripted Arrays  Multiple subscripts – a[ i ][ j ] –Tables with rows and columns –Specify row, then column –“Array of arrays” a[0] is an array of 4 elements a[0][0] is the first element of that array Row 0 Row 1 Row 2 Column 0Column 1Column 2Column 3 a[ 0 ][ 0 ] a[ 1 ][ 0 ] a[ 2 ][ 0 ] a[ 0 ][ 1 ] a[ 1 ][ 1 ] a[ 2 ][ 1 ] a[ 0 ][ 2 ] a[ 1 ][ 2 ] a[ 2 ][ 2 ] a[ 0 ][ 3 ] a[ 1 ][ 3 ] a[ 2 ][ 3 ] Row subscript Array name Column subscript

7. Multiple-Subscripted Arrays  To initialize –Default of 0 –Initializers grouped by row in braces int b[ 2 ][ 2 ] = { { 1, 2 }, { 3, 4 } }; int b[ 2 ][ 2 ] = { { 1 }, { 3, 4 } }; 1 2 3 4 1 0 3 4 Row 0Row 1

8. Multiple-Subscripted Arrays  Referenced like normal cout << b[ 0 ][ 1 ]; –Outputs 0 –Cannot reference using commas cout << b[ 0, 1 ]; Syntax error  Function prototypes –Must specify sizes of subscripts First subscript not necessary, as with single-scripted arrays – void printArray( int [][ 3 ] ); 1 0 3 4

9. 1 // Fig. 4.22: fig04_22.cpp 2 // Initializing multidimensional arrays. 3 #include 4 5 using std::cout; 6 using std::endl; 7 8 void printArray( int [][ 3 ] ); 9 10 int main() 11 { 12 int array1[ 2 ][ 3 ] = { { 1, 2, 3 }, { 4, 5, 6 } }; 13 int array2[ 2 ][ 3 ] = { 1, 2, 3, 4, 5 }; 14 int array3[ 2 ][ 3 ] = { { 1, 2 }, { 4 } }; 15 16 cout << "Values in array1 by row are:" << endl; 17 printArray( array1 ); 18 19 cout << "Values in array2 by row are:" << endl; 20 printArray( array2 ); 21 22 cout << "Values in array3 by row are:" << endl; 23 printArray( array3 ); 24 25 return 0; // indicates successful termination 26 27 } // end main Note the various initialization styles. The elements in array2 are assigned to the first row and then the second. Note the format of the prototype.

10. 28 29 // function to output array with two rows and three columns 30 void printArray( int a[][ 3 ] ) 31 { 32 for ( int i = 0; i < 2; i++ ) { // for each row 33 34 for ( int j = 0; j < 3; j++ ) // output column values 35 cout << a[ i ][ j ] << ' '; 36 37 cout << endl; // start new line of output 38 39 } // end outer for structure 40 41 } // end function printArray Values in array1 by row are: 1 2 3 4 5 6 Values in array2 by row are: 1 2 3 4 5 0 Values in array3 by row are: 1 2 0 4 0 0 For loops are often used to iterate through arrays. Nested loops are helpful with multiple-subscripted arrays.

11. Pointers  Pointers –Powerful, but difficult to master –Simulate pass-by-reference –Close relationship with arrays and strings

12. Pointer Variable Declarations and Initialization  Pointer variables –Contain memory addresses as values –Normally, variable contains specific value (direct reference) –Pointers contain address of variable that has specific value (indirect reference)  Indirection –Referencing value through pointer  Pointer declarations – * indicates variable is pointer int *myPtr; declares pointer to int, pointer of type int * –Multiple pointers require multiple asterisks int *myPtr1, *myPtr2; count 7 countPtr count 7

13. Pointer Variable Declarations and Initialization  Can declare pointers to any data type  Pointer initialization –Initialized to 0, NULL, or address 0 or NULL points to nothing

14. Pointer Operators  & (address operator) –Returns memory address of its operand –Example int y = 5; int *yPtr; yPtr = &y; // yPtr gets address of y – yPtr “points to” y yPtr y 5 yptr 500000600000 y 5 address of y is value of yptr

15. Pointer Operators  * (indirection/dereferencing operator) –Returns synonym for object its pointer operand points to – *yPtr returns y (because yPtr points to y ). *yptr = 9; // assigns 9 to y  * and & are inverses of each other

16. 1 // Fig. 5.4: fig05_04.cpp 2 // Using the & and * operators. 3 #include 4 5 using std::cout; 6 using std::endl; 7 8 int main() 9 { 10 int a; // a is an integer 11 int *aPtr; // aPtr is a pointer to an integer 12 13 a = 7; 14 aPtr = &a; // aPtr assigned address of a 15 16 cout << "The address of a is " << &a 17 << "\nThe value of aPtr is " << aPtr; 18 19 cout << "\n\nThe value of a is " << a 20 << "\nThe value of *aPtr is " << *aPtr; 21 22 cout << "\n\nShowing that * and & are inverses of " 23 << "each other.\n&*aPtr = " << &*aPtr 24 << "\n*&aPtr = " << *&aPtr << endl; 25 * and & are inverses of each other

17. 26 return 0; // indicates successful termination 27 28 } // end main The address of a is 0012FED4 The value of aPtr is 0012FED4 The value of a is 7 The value of *aPtr is 7 Showing that * and & are inverses of each other. &*aPtr = 0012FED4 *&aPtr = 0012FED4 * and & are inverses; same result when both applied to aPtr

18. Calling Functions by Reference  3 ways to pass arguments to function –Pass-by-value –Pass-by-reference with reference arguments –Pass-by-reference with pointer arguments  return can return one value from function  Arguments passed to function using reference arguments –Modify original values of arguments –More than one value “returned”

19. Calling Functions by Reference  Pass-by-reference with pointer arguments –Simulate pass-by-reference Use pointers and indirection operator –Pass address of argument using & operator –Arrays not passed with & because array name already pointer – * operator used as alias/nickname for variable inside of function

20. 1 // Fig. 5.6: fig05_06.cpp 2 // Cube a variable using pass-by-value. 3 #include 4 5 using std::cout; 6 using std::endl; 7 8 int cubeByValue( int ); // prototype 9 10 int main() 11 { 12 int number = 5; 13 14 cout << "The original value of number is " << number; 15 16 // pass number by value to cubeByValue 17 number = cubeByValue( number ); 18 19 cout << "\nThe new value of number is " << number << endl; 20 21 return 0; // indicates successful termination 22 23 } // end main 24 Pass number by value; result return ed by cubeByValue

21. 25 // calculate and return cube of integer argument 26 int cubeByValue( int n ) 27 { 28 return n * n * n; // cube local variable n and return result 29 30 } // end function cubeByValue The original value of number is 5 The new value of number is 125 cubeByValue receives parameter passed-by-value Cubes and return s local variable n

22. 1 // Fig. 5.7: fig05_07.cpp 2 // Cube a variable using pass-by-reference 3 // with a pointer argument. 4 #include 5 6 using std::cout; 7 using std::endl; 8 9 void cubeByReference( int * ); // prototype 10 11 int main() 12 { 13 int number = 5; 14 15 cout << "The original value of number is " << number; 16 17 // pass address of number to cubeByReference 18 cubeByReference( &number ); 19 20 cout << "\nThe new value of number is " << number << endl; 21 22 return 0; // indicates successful termination 23 24 } // end main 25 Apply address operator & to pass address of number to cubeByReference cubeByReference modified variable number Prototype indicates parameter is pointer to int

23. 26 // calculate cube of *nPtr; modifies variable number in main 27 void cubeByReference( int *nPtr ) 28 { 29 *nPtr = *nPtr * *nPtr * *nPtr; // cube *nPtr 30 31 } // end function cubeByReference The original value of number is 5 The new value of number is 125 cubeByReference receives address of int variable, i.e., pointer to an int Modify and access int variable using indirection operator *

24. Relationship Between Pointers and Arrays  Arrays and pointers closely related –Array name like constant pointer –Pointers can do array subscripting operations  Accessing array elements with pointers –Element b[ n ] can be accessed by *( bPtr + n ) Called pointer/offset notation –Addresses &b[ 3 ] same as bPtr + 3 –Array name can be treated as pointer b[ 3 ] same as *( b + 3 ) –Pointers can be subscripted (pointer/subscript notation) bPtr[ 3 ] same as b[ 3 ]

25. 1 // Fig. 5.20: fig05_20.cpp 2 // Using subscripting and pointer notations with arrays. 3 4 #include 5 6 using std::cout; 7 using std::endl; 8 9 int main() 10 { 11 int b[] = { 10, 20, 30, 40 }; 12 int *bPtr = b; // set bPtr to point to array b 13 14 // output array b using array subscript notation 15 cout << "Array b printed with:\n" 16 << "Array subscript notation\n"; 17 18 for ( int i = 0; i < 4; i++ ) 19 cout << "b[" << i << "] = " << b[ i ] << '\n'; 20 21 // output array b using the array name and 22 // pointer/offset notation 23 cout << "\nPointer/offset notation where " 24 << "the pointer is the array name\n"; 25 Using array subscript notation.

26. 26 for ( int offset1 = 0; offset1 < 4; offset1++ ) 27 cout << "*(b + " << offset1 << ") = " 28 << *( b + offset1 ) << '\n'; 29 30 // output array b using bPtr and array subscript notation 31 cout << "\nPointer subscript notation\n"; 32 33 for ( int j = 0; j < 4; j++ ) 34 cout << "bPtr[" << j << "] = " << bPtr[ j ] << '\n'; 35 36 cout << "\nPointer/offset notation\n"; 37 38 // output array b using bPtr and pointer/offset notation 39 for ( int offset2 = 0; offset2 < 4; offset2++ ) 40 cout << "*(bPtr + " << offset2 << ") = " 41 << *( bPtr + offset2 ) << '\n'; 42 43 return 0; // indicates successful termination 44 45 } // end main Using array name and pointer/offset notation. Using pointer subscript notation. Using bPtr and pointer/offset notation.

27. Array b printed with: Array subscript notation b[0] = 10 b[1] = 20 b[2] = 30 b[3] = 40 Pointer/offset notation where the pointer is the array name *(b + 0) = 10 *(b + 1) = 20 *(b + 2) = 30 *(b + 3) = 40 Pointer subscript notation bPtr[0] = 10 bPtr[1] = 20 bPtr[2] = 30 bPtr[3] = 40 Pointer/offset notation *(bPtr + 0) = 10 *(bPtr + 1) = 20 *(bPtr + 2) = 30 *(bPtr + 3) = 40