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ECET 264 C Programming with Applications. Lecture 11 C Arrays and Applications Paul I. Lin Professor of Electrical & Computer Engineering Technology http://www.etcs.ipfw.edu/~lin. Lecture 11 – Array Applications. Determine Size of Arrays Passing Arrays to Functions Searching Arrays

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ECET 264 C Programming with Applications

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Ecet 264 c programming with applications

ECET 264 C Programming with Applications

Lecture 11

C Arrays and Applications

Paul I. Lin

Professor of Electrical & Computer Engineering Technology

http://www.etcs.ipfw.edu/~lin

Paul I Lin


Lecture 11 array applications

Lecture 11 – Array Applications

  • Determine Size of Arrays

  • Passing Arrays to Functions

  • Searching Arrays

  • Multiple Subscripted Arrays

  • Programming Applications

Paul I Lin


Determining the sizes and bounds of arrays

Determining the Sizes and Bounds of Arrays

Array size

  • Must be determined at design time

  • Array boundary must be checked at run-time

  • sizeof operator

    Examples

    Determine the size of LCD array

    • sizeof(display_LCD)/sizeof(char)

      Determine the size of data array

    • sizeof(data)/sizeof(int)

Paul I Lin


Example 11 1

Example 11 - 1

/* while0.c - Accessing data arrays using a while() loop and describe out of boundary*/

#include <stdio.h>

// define format string

#define FORMAT "data[%d] = %d,\ d[%d] = %d\n", i,data[i],i,d[i]

#define N 6

static int data[] = { 1,2,3,4,5,6 }; // static array definition

void main()

{

int d[N], i, j, k;

i = 0; j = 1; k = 2;

Paul I Lin


Example 11 1 continue

Example 11 – 1(continue)

while(i < N)

{

d[i] = data[i] * 2;

printf(FORMAT);

i++;

}

/* Try access the array outside its boundary */

printf(FORMAT);

// printf("data[%d] = %d,\ d[%d] = %d\n", i,data[i],i,d[i])

i++;

printf(FORMAT);

}

Paul I Lin


Example 11 1 continue1

Example 11 - 1(continue)

Output:

data[0] = 1, d[0] = 2

data[1] = 2, d[1] = 4

data[2] = 3, d[2] = 6

data[3] = 4, d[3] = 8

data[4] = 5, d[4] = 10

data[5] = 6, d[5] = 12

data[6] = 1635017060, d[6] = 6618680

data[7] = 1566844251, d[7] = 4199065

Paul I Lin


Passing arrays to functions

Passing arrays to functions

  • To pass an array to a function - the name of the array is passed

  • To pass a single element of an array to a function - simply pass the name of the array followed by the subscript of the particular element.

  • C passes arrays to functions by reference – the called functions can modify the element values in the caller’s original arrays.

  • The name of the array is actually the address of the first element of the array

Paul I Lin


Passing arrays to functions continue

Passing arrays to functions(continue)

  • When the called function modifies array elements in its function body, it is modifying the actual elements of the array in their original memory location.

  • To receive an array argument, the function’s parameter list must specify that an array will be received. The size of that array is also needed.

    An example:

    int findmax(int this_array[ ], int size);

    int findmax(int *this_array, int size)

Paul I Lin


Example 11 2

Example 11 - 2

/*A simple program uses functions for swapping and printing data elements in a two-dimensional array. */

#include <stdio.h>

void swap(int *, int *); /* Function Prototypes */

void print(void); /* Function Prototypes */

static int data[2][2] = { {1, 2}, {3, 4}};

void main()

{

int x, y;

puts("\nBefore swapping"); print();

swap(&data[0][0], &data[1][1]);

swap(&data[0][1], &data[1][0]);

puts("\nAfter swapping"); print();

}

Paul I Lin


Example 11 2 continue

Example 11 - 2(continue)

void swap(int *a, int *b)

{

int temp;

temp = *a; *a = *b; *b = temp;

}

void print(void)

{

int r, c;

for(r = 0; r < 2; r++)

for(c = 0; c < 2; c++)

{

printf("\ndata[%d][%d] = %d",r,c,data[r][c]);

}

}

Paul I Lin


Example 11 2 continue1

Example 11 - 2(continue)

Output:

Before swappingAfter swapping

data[0][0] = 1data[0][0] = 4

data[0][1] = 2data[0][1] = 3

data[1][0] = 3data[1][0] = 2

data[1][1] = 4data[1][1] = 1

Paul I Lin


Example 11 3

Example 11 - 3

/* Passing arrays and individual array elements to functions */

#include <stdio.h>

#define SIZE 5

/* function prototypes */

void modifyArray( int b[], int size );

void modifyElement( int e );

/* function main begins program execution */

int main()

{

int a[ SIZE ] = {0, 1, 2, 3, 4}; /* initialize a */

int i; /* counter */

Paul I Lin


Example 11 3 continue

Example 11 - 3(continue)

printf( "Effects of passing entire array by reference:\n\nThe "

"values of the original array are:\n" );

/* output original array */

for ( i = 0; i < SIZE; i++ ) {

printf( "%3d", a[ i ] );

} /* end for */

printf( "\n" );

/* pass array a to modifyArray by reference */

modifyArray( a, SIZE );

printf( "The values of the modified array are:\n" );

Paul I Lin


Example 11 3 continue1

Example 11 - 3(continue)

/* output modified array */

for ( i = 0; i < SIZE; i++ ) {

printf( "%3d", a[ i ] );

} /* end for */

/* output value of a[ 3 ] */

printf( "\n\n\nEffects of passing array element "

"by value:\n\nThe value of a[3] is %d\n", a[ 3 ] );

modifyElement( a[ 3 ] ); /* pass array element a[ 3 ] by value */

/* output value of a[ 3 ] */

printf( "The value of a[ 3 ] is %d\n", a[ 3 ] );

return 0; /* indicates successful termination */

} /* end main */

Paul I Lin


Example 11 3 continue2

Example 11 - 3(continue)

/* in function modifyArray, "b" points to the original array "a" in memory */

void modifyArray( int b[], int size )

{ int j; /* counter */

/* multiply each array element by 2 */

for ( j = 0; j < size; j++ ) {

b[ j ] *= 2; // b[ j ] = b[j ] * 2;

} /* end for */

} /* end function modifyArray */

/* in function modifyElement, "e" is a local copy of array element a[ 3 ] passed from main */

void modifyElement( int e )

{ /* multiply parameter by 2 */

printf( "Value in modifyElement is %d\n", e *= 2 );

} /* end function modifyElement */

Paul I Lin


Example 11 3 continue3

Example 11 - 3(continue)

Paul I Lin


Sorting elements in arrays

Sorting Elements in Arrays

  • Sorting is the process of rearranging the elements of an array into numerical order (either ascending or descending).

    • Bubble sort, Selection sort, Quick sort, etc

    • Min, Max elements

    • Help data analysis

Paul I Lin


Sorting elements in arrays1

Sorting Elements in Arrays

  • After the sorting

    • min = a[ 0 ] – smallest element

    • Max = a[size -1] -- largest element

    • Middle element

  • Using bubble sort (sinking sort) – the smaller value upward to the top while the larger values sink to the bottom of the array

  • Bubble sort is performed by the two nested for loops and a swap function

Paul I Lin


Sorting elements in arrays2

Sorting Elements in Arrays

  • Bubble Sort

    • Before sorting

      • d_array = [76 45 1 82 44]

    • After sorting

      • d_array = [1 44 45 76 82]

  • Steps (repeated until no swaps take place)

    • If the first element of x is greater than the second element of x, swap their positions in the vector.

    • If the second element of x is greater than the third element of x, swap their positions in the vector.

    • · · · · · · · · ·

    • If the next-to-last element of x is greater than the last element of x, swap their positions in the vector

Paul I Lin


Bubble sort example 11 4

Bubble Sort – Example 11-4

/* bubblesort.c */

#include <math.h>

#include <stdio.h>

#define MAX 10

int no[MAX];

unsigned long int next = 1;

/* rand(): return psedo-random integer from 0...32767 */

int rand(void)

{

next = next * 1103515245 + 12345;

return (unsigned int) (next/65536) % 32768;

}

/* srand: set seed for rand() */

void srand(unsigned int seed)

{

next = seed;

}

Paul I Lin


Bubble sort example 11 4 cont

Bubble Sort – Example 11-4(cont.)

void sort(int data[], int size) {

int upper, lower, temp;

// Loop for counting the number of passes

for(upper = 0; upper < size -1; upper++)

{

// Loop for comparison and exchange

for(lower = upper + 1; lower < size; lower++)

{

if(data[upper] > data[lower])

{

temp = data[lower];

data[lower] = data[upper];

data[upper] = temp;

}

}

}

Paul I Lin


Bubble sort example 11 4 cont1

Bubble Sort – Example 11-4(cont.)

/* bubble sort */

sort(no, MAX);

/* display sorted array */

for(i = 0; i < MAX; ++i)

{

printf("no[%d] = %u\n", i,

no[i]);

}

puts("Enter a number for

searching");

scanf("%d", &number);

}

void main()

{

int i, number, found;

unsigned int j;

for(i = 0; i < MAX; ++i)

{

no[i] = j = rand();

printf("Random number(%d) = %u\n", i,j);

srand(i+2);

}

Paul I Lin


Bubble sort example 11 4 cont2

Bubble Sort – Example 11-4(cont.)

Running Results:

Random number(0) = 16838

Random number(1) = 908

Random number(2) = 17747

Random number(3) = 1817

Random number(4) = 18655

Random number(5) = 2726

Random number(6) = 19564

Random number(7) = 3634

Random number(8) = 20472

Random number(9) = 4543

no[0] = 908

no[1] = 1817

no[2] = 2726

no[3] = 3634

no[4] = 4543

no[5] = 16838

no[6] = 17747

no[7] = 18655

no[8] = 19564

no[9] = 20472

Paul I Lin


Searching elements in arrays

Searching Elements in Arrays

  • Determine whether an array contains a value that matches a certain key value.

  • The process of finding a particular element of an array is searching.

  • Type of searching:

    • Linear search – compares each element of the array with the search key

    • Brainy search – eliminates from consideration one half of the elements in a sorted array after each comparison. The worse case of searching is n times, where n is 2 to the power of n or 2n

      Examples:

    • An array of 1023 elements will take less then 10 comparisons using brainy search. 1023 < 210

    • An array of 65536 elements will take less then 16 comparisons using brainy search. 65535 < 216

Paul I Lin


Binary search example 11 5

Binary Search – Example 11-5

void sort(int data[], int size)

{

int upper, lower, temp;

// Loop for counting the number of passes

for(upper = 0; upper < size -1; upper++)

{ // Loop for comparison and exchange

for(lower = upper + 1; lower < size; lower++)

{

if(data[upper] > data[lower])

{

temp = data[lower];

data[lower] = data[upper];

data[upper] = temp;

}

}

}

/* bubblesort.c */

#include <math.h>

#include <stdio.h>

#define MAX 10

int no[MAX];

unsigned long int next = 1;

/* rand(): return psedo-random integer from 0...32767 */

int rand(void)

{

next = next * 1103515245 + 12345;

return (unsigned int) (next/65536) % 32768;

}

/* srand: set seed for rand() */

void srand(unsigned int seed)

{

next = seed;

}

Paul I Lin


Binary search example 11 5 cont

Binary Search – Example 11-5(cont.)

void main()

{

int i, number, found;

unsigned int j;

for(i = 0; i < MAX; ++i)

{

no[i] = j = rand();

printf("Random number(%d) = %u\n", i,j);

srand(i+2);

}

/* bubble sort */

sort(no, MAX);

int binsearch(int x, int no[], int n)

{

int low, high, mid;

low = 0;

high = n-1;

mid = (low + high) /2;

while(low <= high && x != no[mid])

{

if(x < no[mid])

high = mid -1;

else

low = mid + 1;

mid = (low + high)/2;

}

if (x == no[mid])

return mid; /* found match */

else

return -1; /* no match */

}

Paul I Lin


Binary search example 11 5 cont1

Binary Search – Example 11-5(cont.)

/* display sorted array */

for(i = 0; i < MAX; ++i)

{

printf("no[%d] = %u\n", i, no[i]);

}

puts("Enter a number for searching");

scanf("%d", &number);

/* binary search */

found = binsearch(number, no, MAX);

if(found == -1) puts("Cant' find a match");

else printf("The number is in no[%d]\n", found);

}

Paul I Lin


Binary search example 11 5 cont2

Binary Search – Example 11-5(cont.)

Running Result

Random number(0) = 16838

Random number(1) = 908

Random number(2) = 17747

Random number(3) = 1817

Random number(4) = 18655

Random number(5) = 2726

Random number(6) = 19564

Random number(7) = 3634

Random number(8) = 20472

Random number(9) = 4543

no[0] = 908

no[1] = 1817

no[2] = 2726

no[3] = 3634

no[4] = 4543

no[5] = 16838

no[6] = 17747

no[7] = 18655

no[8] = 19564

no[9] = 20472

Enter a number for searching

18655

The number is in no[7]

Paul I Lin


Multiple subscripted arrays

Multiple-subscripted arrays

  • A common use of multiple-subscripted arrays is to represent tables of values consisting of information arranged in rows and columns.

  • Table or arrays require two subscripts to identify a particular element.

    Example: m by n array means an array with m rows and n columns

  • To pass one row of a double-subscripted array to a function that receives a single-subscripted array, simply pass the name of the array followed by the subscript of that row.

Paul I Lin


Multiple subscripted arrays continue

Multiple-subscripted arrays(continue)

Example 11-6:

  • Multiple subscripted arrays can have more than two subscripts

  • A multiple subscripted array can be initialized when it is defined as the same way as the 1-D example:

    static intmy_array[4][2][3] =

    { {{1, 2, 3}, { 4, 5, 6}},

    {{7, 8, 9}, {10, 11, 12}},

    {{13, 14, 15}, {16, 17, 18}},

    {{19, 20, 21}, {22, 23, 24}} };

Paul I Lin


Multiple subscripted arrays continue1

Multiple-subscripted arrays(continue)

/* Find the minimum grade of any student for the semester */

int minimum( const int grades[ ][ EXAMS ], int pupils, int tests )

{

int i; /* student counter */

int j; /* exam counter */

int lowGrade = 100; /* initialize to highest possible grade */

/* loop through rows of grades */

for ( i = 0; i < pupils; i++ ) {

/* loop through columns of grades */

for ( j = 0; j < tests; j++ ) {

if ( grades[ i ][ j ] < lowGrade ) {

lowGrade = grades[ i ][ j ];

} /* end if */

} /* end inner for */

} /* end outer for */

return lowGrade; /* return minimum grade */

} /* end function minimum */

Paul I Lin


Multiple subscripted arrays continue2

Multiple-subscripted arrays(continue)

/*Determine the average grade for a particular student */

double average( const int setOfGrades[ ], int tests )

{

int i; /* exam counter */

int total = 0; /* sum of test grades */

/* total all grades for one student */

for ( i = 0; i < tests; i++ ) {

total += setOfGrades[ i ];

} /* end for */

return ( double ) total / tests; /* average */

} /* end function average */

Paul I Lin


Programming applications

Programming Applications

Example 11-7: Arithmetic Mean of N Numbers

#define N 5

main()

{

float x[N] = {1.0, 2.0, 3.0, 4.0, 5.0}; float mean = 0.0;

int i;

for(i = 0; i < N; i++)

mean += x[i];

mean /= N; printf(“mean = %f”, mean);

}

Paul I Lin


Calculating the sine using series approximation

Calculating the Sine using Series Approximation

Example 11-8: A Sine function repeats itself every 2 radians. Using the sine series for an approximation of the sin(x) function:

/* Program: sinesr.c - Approximation of the sin(x) function */

#define REG_TO_RAD 180.0/PI

/* sinesr.c */

#include <math.h>

#include <stdio.h>

#define PI 3.14159

#define DEG_TO_RAD (180.0/PI)

/* 57.29577951308232 */

Paul I Lin


Calculating the sine using series continue

Calculating the Sine using Series(continue)

#define x2(x) (x * x) /* Macro for x ^2 */

#define x3(x) (x * x * x) /* Macro for x^3 */

#define x5(x) (x*x*x*x*x) /* Macro for x^5 */

#define x7(x) (x*x*x*x*x*x*x) /* Macro for x^7 */

#define x9(x) (x*x*x*x*x*x*x*x*x)

#define FAC3 (1*2*3) /* Factorial 3 */

#define FAC5 (1*2*3*4*5) /* Factorial 5 */

#define FAC7 (1*2*3*4*5*6*7) /* Factorial 7 */

#define FAC9 (1*2*3*4*5*6*7*8*9)

void main(void)

{

double sinSER, sinLIB, error, x, n;

printf("Deg Radians Sine Series Sin(x) Error\n");

Paul I Lin


Calculating the sine using series continue1

Calculating the Sine using Series(continue)

printf("_________________________________________\n");

for(n = 0.0; n <= 90.0; n+=5.0)

{

x = n/DEG_TO_RAD; /*convert degree to radians*/

sinLIB = sin(x);

sinSER = x - (x3(x)/FAC3)+ (x5(x)/FAC5)- (x7(x)/FAC7)+ (x9(x)/FAC9);

error = sinSER - sinLIB;

printf("%5.2lf %9.8lf %9.8lf %9.8lf %+.6e\n",

n, x, sinLIB, sinSER, error);

}printf("__________________________\n");

}

Paul I Lin


Calculating the sine using series continue2

Calculating the Sine using Series(continue)

Output:

Deg Radians Sine Series Sin(x) Error

__________________________________________________

0.00 0.00000000 0.00000000 0.00000000 +0.000000e+000

5.00 0.08726639 0.08715567 0.08715567 +0.000000e+000

10.00 0.17453278 0.17364803 0.17364803 +1.110223e-016

15.00 0.26179917 0.25881883 0.25881883 +9.936496e-015

20.00 0.34906556 0.34201987 0.34201987 +2.347011e-013

25.00 0.43633194 0.42261793 0.42261793 +2.730927e-012

30.00 0.52359833 0.49999962 0.49999962 +2.027972e-011

35.00 0.61086472 0.57357601 0.57357601 +1.104591e-010

40.00 0.69813111 0.64278716 0.64278716 +4.795073e-010

45.00 0.78539750 0.70710631 0.70710631 +1.750303e-009

Paul I Lin


Calculating the sine using series continue3

Calculating the Sine using Series(continue)

50.00 0.87266389 0.76604397 0.76604397 +5.572419e-009

55.00 0.95993028 0.81915158 0.81915160 +1.588251e-008

60.00 1.04719667 0.86602496 0.86602500 +4.131496e-008

65.00 1.13446306 0.90630738 0.90630748 +9.953193e-008

70.00 1.22172944 0.93969227 0.93969249 +2.246074e-007

75.00 1.30899583 0.96592554 0.96592602 +4.790796e-007

80.00 1.39626222 0.98480755 0.98480852 +9.729044e-007

85.00 1.48352861 0.99619459 0.99619648 +1.892315e-006

90.00 1.57079500 1.00000000 1.00000354 +3.542551e-006

___________________________________________________

Paul I Lin


Summary

Summary

  • Determine Size of Arrays

  • Passing Arrays to Functions

  • Sorting/Searching Arrays

  • Multiple Subscripted Arrays

  • Programming Applications

  • Next – C Pointers

Paul I Lin


Questions

Questions?

Answers

[email protected]

Paul I Lin


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