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The exponential function is defined as
where b is the base and x is the exponent.
import pow from 'https://cdn.jsdelivr.net/gh/stdlib-js/math-base-special-fast-pow-int@esm/index.mjs';Evaluates the exponential function given a signed 32-bit integer exponent.
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-
This implementation is not recommended for high-precision applications due to error accumulation. As a trivial example, consider
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 thebaseand then evaluates the exponential function. This can introduce significant error. For example,var v = pow( -459, -98 ); // returns 1.3878956588399783e-261
where the expected result is
1.3878956588399598e-261. From the bit sequences,0000100111000101110110100000000111001011001011010001000101010110 0000100111000101110110100000000111001011001011010001000100000100one observes that the returned value differs in the last
7bits of the significand.
<!DOCTYPE html> <html lang="en"> <body> <script type="module"> import pow from 'https://cdn.jsdelivr.net/gh/stdlib-js/math-base-special-fast-pow-int@esm/index.mjs'; 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 ); } </script> </body> </html>@stdlib/math-base/special/pow: exponential function.
This package is part of stdlib, a standard library 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.
See LICENSE.
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