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* @license Apache-2.0
*
* Copyright (c) 2018 The Stdlib Authors.
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
'use strict';
// MODULES //
var isnan = require( '@stdlib/math/base/assert/is-nan' );
var isInfinite = require( '@stdlib/math/base/assert/is-infinite' );
var pow = require( '@stdlib/math/base/special/pow' );
var round = require( '@stdlib/math/base/special/round' );
var roundn = require( '@stdlib/math/base/special/roundn' );
// MAIN //
/**
* Rounds a numeric value to the nearest multiple of \\(b^n\\) on a linear scale.
*
* @param {number} x - input value
* @param {integer} n - integer power
* @param {PositiveInteger} b - base
* @returns {number} rounded value
*
* @example
* // Round a value to 2 decimal places:
* var v = roundb( 3.141592653589793, -2, 10 );
* // returns 3.14
*
* @example
* // If n = 0 or b = 1, `roundb` behaves like `round`:
* var v = roundb( 3.141592653589793, 0, 2 );
* // returns 3.0
*
* @example
* // Round a value to the nearest multiple of two:
* var v = roundb( 5.0, 1, 2 );
* // returns 6.0
*/
function roundb( x, n, b ) {
var y;
var s;
if (
isnan( x ) ||
isnan( n ) ||
isnan( b ) ||
b <= 0 ||
isInfinite( n ) ||
isInfinite( b )
) {
return NaN;
}
if ( isInfinite( x ) || x === 0.0 ) {
return x;
}
if ( b === 10 ) {
return roundn( x, n );
}
if ( n === 0 || b === 1 ) {
return round( x );
}
s = pow( b, -n );
// Check for overflow:
if ( isInfinite( s ) ) {
return x;
}
y = round( x * s ) / s;
// Check for overflow:
if ( isInfinite( y ) ) {
return x;
}
return y;
}
// EXPORTS //
module.exports = roundb;
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