Exponential Function

Exponential function.

The exponential function is defined as

where b is the base and x is the exponent.

Installation

npm install @stdlib/math-base-special-pow

Usage

var pow = require( '@stdlib/math-base-special-pow' );

pow( base, exponent )

Evaluates the exponential function.

var v = pow( 2.0, 3.0 );
// returns 8.0

v = pow( 4.0, 0.5 );
// returns 2.0

v = pow( 100.0, 0.0 );
// returns 1.0

v = pow( 3.141592653589793, 5.0 );
// returns ~306.0197

v = pow( 3.141592653589793, -0.2 );
// returns ~0.7954

v = pow( NaN, 3.0 );
// returns NaN

v = pow( 5.0, NaN );
// returns NaN

v = pow( NaN, NaN );
// returns NaN

Examples

var randu = require( '@stdlib/random-base-randu' );
var round = require( '@stdlib/math-base-special-round' );
var pow = require( '@stdlib/math-base-special-pow' );

var b;
var x;
var i;

for ( i = 0; i < 100; i++ ) {
    b = round( randu()*10.0 );
    x = round( randu()*10.0 ) - 5.0;
    console.log( '%d^%d = %d', b, x, pow( b, x ) );
}

C APIs

Usage

#include "stdlib/math/base/special/pow.h"

stdlib_base_pow( base, exponent )

Evaluates the exponential function.

double out = stdlib_base_pow( 3.141592653589793, 5.0 );
// returns ~306.0197

out = stdlib_base_pow( 4.0, 0.5 );
// returns 2.0

The function accepts the following arguments:

• base: [in] double base.
• exponent: [in] double exponent.

double stdlib_base_pow( const double base, const double exponent );

Examples

#include "stdlib/math/base/special/pow.h"
#include <stdlib.h>
#include <stdio.h>

int main( void ) {
    double out;
    double b;
    double x;
    int i;

    for ( i = 0; i < 100; i++ ) {
        b = ( ( (double)rand() / (double)RAND_MAX ) * 10.0 );
        x = ( ( (double)rand() / (double)RAND_MAX ) * 10.0 ) - 5.0;
        out = stdlib_base_pow( b, x );
        printf( "pow(%lf, %lf) = %lf\n", b, x, out );
    }
}

See Also

• @stdlib/math-base/special/exp: natural exponential function.
• @stdlib/math-base/special/powm1: evaluate bˣ - 1.

Notice

This package is part of stdlib, a standard library for JavaScript and Node.js, with an emphasis on numerical and scientific computing. The library provides a collection of robust, high performance libraries for mathematics, statistics, streams, utilities, and more.

For more information on the project, filing bug reports and feature requests, and guidance on how to develop stdlib, see the main project repository.

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Copyright

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