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@stdlib/math-base-special-logaddexp

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  • License Apache-2.0

Compute the natural logarithm of exp(x) + exp(y).

Package Exports

  • @stdlib/math-base-special-logaddexp
  • @stdlib/math-base-special-logaddexp/lib/index.js

This package does not declare an exports field, so the exports above have been automatically detected and optimized by JSPM instead. If any package subpath is missing, it is recommended to post an issue to the original package (@stdlib/math-base-special-logaddexp) to support the "exports" field. If that is not possible, create a JSPM override to customize the exports field for this package.

Readme

logaddexp

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Evaluates the natural logarithm of exp(x) + exp(y).

Log-domain computations are commonly used to increase accuracy and avoid underflow and overflow when very small or very large numbers are represented directly as limited-precision, floating-point numbers. For example, in statistics, evaluating logaddexp() is useful when probabilities are so small as to exceed the normal range of floating-point numbers.

Installation

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

Usage

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

logaddexp( x, y )

Evaluates the natural logarithm of exp(x) + exp(y).

var v = logaddexp( 90.0, 90.0 );
// returns ~90.6931

v = logaddexp( -20.0, 90.0 );
// returns 90.0

v = logaddexp( 0.0, -100.0 );
// returns ~3.7201e-44

v = logaddexp( NaN, 1.0 );
// returns NaN

Examples

var incrspace = require( '@stdlib/array-base-incrspace' );
var logaddexp = require( '@stdlib/math-base-special-logaddexp' );

var x = incrspace( -100.0, 100.0, 1.0 );

var v;
var i;
var j;
for ( i = 0; i < x.length; i++ ) {
    for ( j = i; j < x.length; j++ ) {
        v = logaddexp( x[ i ], x[ j ] );
        console.log( 'x: %d, y: %d, f(x, y): %d', x[ i ], x[ j ], v );
    }
}

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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License

See LICENSE.

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