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Compute the binomial coefficient as a single-precision floating-point number.
The binomial coefficient of two nonnegative integers n and k is defined as
The binomial coefficient can be generalized to negative integers n as follows:
import binomcoeff from 'https://cdn.jsdelivr.net/gh/stdlib-js/math-base-special-binomcoeff@esm/index.mjs';Evaluates the binomial coefficient of two integers n and k as a single-precision floating-point number.
var v = binomcoeff( 8, 2 );
// returns 28
v = binomcoeff( 0, 0 );
// returns 1
v = binomcoeff( -4, 2 );
// returns 10
v = binomcoeff( 5, 3 );
// returns 10
v = binomcoeff( NaN, 3 );
// returns NaN
v = binomcoeff( 5, NaN );
// returns NaN
v = binomcoeff( NaN, NaN );
// returns NaNFor negative k, the function returns 0.
var v = binomcoeff( 2, -1 );
// returns 0
v = binomcoeff( -3, -1 );
// returns 0The function returns NaN for non-integer n or k.
var v = binomcoeff( 2, 1.5 );
// returns NaN
v = binomcoeff( 5.5, 2 );
// returns NaN<!DOCTYPE html>
<html lang="en">
<body>
<script type="module">
import discreteUniform from 'https://cdn.jsdelivr.net/gh/stdlib-js/random-array-discrete-uniform@esm/index.mjs';
import logEachMap from 'https://cdn.jsdelivr.net/gh/stdlib-js/console-log-each-map@esm/index.mjs';
import binomcoeff from 'https://cdn.jsdelivr.net/gh/stdlib-js/math-base-special-binomcoeff@esm/index.mjs';
var opts = {
'dtype': 'int32'
};
var n = discreteUniform( 100, -10, 30, opts );
var k = discreteUniform( 100, 0, 20, opts );
logEachMap( 'binomcoeff(%d,%d) = %0.4f', n, k, binomcoeff );
</script>
</body>
</html>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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