@stdlib/math-base-special-fast-pow-int
v0.3.1TypeScript
Exponential function.
0/weekUpdated 4 days agoApache-2.0Unpacked: 46.6 KB
Published by The Stdlib Authors
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About stdlib...
Exponential Function
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> [Exponential function][exponential-function].
The [exponential function][exponential-function] is defined as
where b is the base and x is the exponent.
Installation
``bash`
npm install @stdlib/math-base-special-fast-pow-int
Usage
`javascript`
var pow = require( '@stdlib/math-base-special-fast-pow-int' );
#### pow( base, exponent )
Evaluates the [exponential function][exponential-function] given a signed 32-bit integer exponent.
`javascript
var v = pow( 2.0, 3 );
// returns 8.0
v = pow( 100.0, 0 );
// returns 1.0
v = pow( 3.14, 1 );
// returns 3.14
v = pow( -3.14, 1 );
// returns -3.14
v = pow( 2.0, -2 );
// returns 0.25
v = pow( NaN, 3 );
// returns NaN
`
Notes
- This implementation is not recommended for high-precision applications due to error accumulation. As a trivial example, consider
`javascript`
var v = pow( 10.0, 308 );
// returns 1.0000000000000006e+308
where the expected result is 1.0e+308.
- If provided a negative exponent, the implementation first computes the reciprocal of the base and then evaluates the exponential function. This can introduce significant error. For example,
`javascript`
var v = pow( -459, -98 );
// returns 1.3878956588399783e-261
where the expected result is 1.3878956588399598e-261. From the bit sequences,
`text`
0000100111000101110110100000000111001011001011010001000101010110
0000100111000101110110100000000111001011001011010001000100000100
one observes that the returned value differs in the last 7 bits of the significand.
Examples
`javascript
var pow = require( '@stdlib/math-base-special-fast-pow-int' );
var x;
var y;
var v;
x = 10.0;
for ( y = 0; y < 309; y++ ) {
v = pow( x, y );
console.log( '%d^%d = %d', x, y, v );
}
`
*
C APIs
$3
`c`
#include "stdlib/math/base/special/fast/pow.h"
#### stdlib_base_fast_pow( x, y )
Evaluates the [exponential function][exponential-function] given a signed 32-bit integer exponent.
`c
double out = stdlib_base_fast_pow( 2.0, 3 );
// returns 8.0
out = stdlib_base_fast_pow( 3.14, 0 );
// returns 1.0
`
The function accepts the following arguments:
- x: [in] double base.[in] int32_t
- y: exponent.
`c`
double stdlib_base_fast_pow( const double x, const int32_t y );
$3
`c
#include "stdlib/math/base/special/fast/pow.h"
#include
#include
#include
int main( void ) {
const double x[] = { 3.14, 2.0, 2.0, 0.0 };
const int32_t y[] = { 0, 3, -2, 0 };
double z;
int i;
for ( i = 0; i < 4; i++ ) {
z = stdlib_base_fast_pow( x[ i ], y[ i ] );
printf( "pow( %lf, %d ) = %lf\n", x[ i ], y[ i ], z );
}
}
`
*
See Also
- [@stdlib/math-base/special/pow][@stdlib/math/base/special/pow]: exponential function.
*
Notice
This package is part of [stdlib][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][stdlib], see the main project [repository][stdlib].
#### Community
[![Chat][chat-image]][chat-url]
---
License
See [LICENSE][stdlib-license].
Copyright
Copyright © 2016-2026. The Stdlib [Authors][stdlib-authors].
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[umd]: https://github.com/umdjs/umd
[es-module]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Guide/Modules
[deno-url]: https://github.com/stdlib-js/math-base-special-fast-pow-int/tree/deno
[deno-readme]: https://github.com/stdlib-js/math-base-special-fast-pow-int/blob/deno/README.md
[umd-url]: https://github.com/stdlib-js/math-base-special-fast-pow-int/tree/umd
[umd-readme]: https://github.com/stdlib-js/math-base-special-fast-pow-int/blob/umd/README.md
[esm-url]: https://github.com/stdlib-js/math-base-special-fast-pow-int/tree/esm
[esm-readme]: https://github.com/stdlib-js/math-base-special-fast-pow-int/blob/esm/README.md
[branches-url]: https://github.com/stdlib-js/math-base-special-fast-pow-int/blob/main/branches.md
[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/math-base-special-fast-pow-int/main/LICENSE
[exponential-function]: https://en.wikipedia.org/wiki/Exponential_function
[@stdlib/math/base/special/pow]: https://www.npmjs.com/package/@stdlib/math-base-special-pow