(Math Library Functions) Write a program that tests as many of the math library functions in Fig. 5.2 as you can. Exercise each of these functions by having your program print out tables of return values for a diversity of argument values.

Question

What will be an ideal response?

Answer 1

```
// Test math library functions on range of values.
#include
#include
#include
using namespace std;

void testPositiveRange(); // function prototype
void testNegativePositiveRange(); // function prototype
void testTrig(); // function prototype

int main()
{
// set floating-point number format
cout << fixed << setprecision( 2 );

// display table testing sqrt, exp, log, log10 and pow
testPositiveRange();
cout << "\n\n\n";

// display table testing fabs, ceil and floor
testNegativePositiveRange();
cout << "\n\n\n";

testTrig(); // display table testing sin, cos and tan
cout << endl;
} // end main

// testPositiveRange tests math library functions
// sqrt, exp, log, log10 and pow on range of positive numbers
void testPositiveRange()
{
// table header for first column
cout << "function";

for ( int a = 1; a < 6; a++ ) // table headers for value columns
cout << setw( 12 ) << a << ' ';

// row data for square root function
cout << "\n\nsqrt() ";

for ( int b = 1; b < 6; b++ ) // display sqrt for range of values
cout << setw( 12 ) << sqrt( static_cast< double > ( b ) ) << ' ';

cout << "\nexp() "; // row data for exponential function

for ( int c = 1; c < 6; c++ ) // display exp for range of values
cout << setw( 12 ) << exp( static_cast< double > ( c ) ) << ' ';
cout << "\nlog() "; // row data for natural log function

// display natural log for range of values
for ( int d = 1; d < 6; d++ )
cout << setw( 12 ) << log( static_cast< double > ( d ) ) << ' ';

cout << "\nlog10() "; // row data for log base 10 function

// display log base 10 for range of values
for ( int e = 1; e < 6; e++ )
cout << setw( 12 ) << log10( static_cast< double > ( e ) ) << ' ';

// row data for pow function, test with 2 as base
cout << "\npow(2,x)";

for ( int f = 1; f < 6; f++ ) // display pow for range of values
cout << setw( 12 ) << pow( 2.0, f ) << ' ';
} // end function testPositiveRange

// testNegativePositiveRange tests math library functions
// fabs, ceil and floor on range of negative and positive numbers
void testNegativePositiveRange()
{
cout << "function"; // table header for first column

// table headers for value columns
for ( int i = -15; i < 30; i += 11 )
cout << setw( 12 ) << i / 10.0 << ' ';

cout << "\n\nfabs() "; // row data for absolute value function

// display fabs for range of values
for ( int i = -15; i < 30; i += 11 )
cout << setw( 12 ) << fabs( i / 10.0 ) << ' ';

cout << "\nceil() "; // row data for ceiling function

// display ceil for range of values
for ( int i = -15; i < 30; i += 11 )
cout << setw( 12 ) << ceil( i / 10.0 ) << ' ';

cout << "\nfloor() "; // row data for floor function

// display floor for range of values
for ( int i = -15; i < 30; i += 11 )
cout << setw( 12 ) << floor( i / 10.0 ) << ' ';
} // end function testNegativePositiveRange

// testTrig tests math library functions
// sin, cos and tan on range of radian numbers
void testTrig()
{
double pi = 3.14159; // approximate value for pi
cout << "function"; // table header for first column
// table headers for value columns
for ( int i = -1; i < 4; i++ )
cout << setw( 12 ) << i * pi / 2 << ' ';

cout << "\n\nsin() "; // row data for sine function

// display sin for range of values
for ( int i = -1; i < 4; i++ )
cout << setw( 12 ) << sin( i * pi / 2 ) << ' ';

cout << "\ncos() "; // row data for cosine function

// display cos for range of values
for ( int i = -1; i < 4; i++ )
cout << setw( 12 ) << cos( i * pi / 2 ) << ' ';

cout << "\ntan() "; // row data for tangent function

// display tan for range of values
for ( int i = -1; i < 4; i++ )
cout << setw( 12 ) << tan( i * pi / 2 ) << ' ';
} // end function testTrig
```