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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 floor = require( '@stdlib/math/base/special/floor' );
var ceil = require( '@stdlib/math/base/special/ceil' );
var log10 = require( '@stdlib/math/base/special/log10' );
var MAX_EXP = require( '@stdlib/constants/float64/max-base10-exponent' );
var MIN_EXP_SUBNORMAL = require( '@stdlib/constants/float64/min-base10-exponent-subnormal' );
var PINF = require( '@stdlib/constants/float64/pinf' );
// MAIN //
/**
* Rounds a numeric value to the nearest power of `10` toward positive infinity.
*
* @param {number} x - input value
* @returns {number} rounded value
*
* @example
* var v = ceil10( 3.141592653589793 );
* // returns 10.0
*
* @example
* var v = ceil10( 9.0 );
* // returns 10.0
*
* @example
* var v = ceil10( -0.314 );
* // returns -0.1
*/
function ceil10( x ) {
var sign;
var p;
if (
isnan( x ) ||
isInfinite( x ) ||
x === 0.0
) {
return x;
}
if ( x < 0 ) {
x = -x;
sign = -1.0;
} else {
sign = 1.0;
}
// Solve the equation `10^p = x` for `p`:
p = log10( x );
// Determine a power of 10 which rounds the input value toward positive infinity:
if ( sign === -1.0 ) {
p = floor( p );
} else {
p = ceil( p );
}
// Handle underflow:
if ( p <= MIN_EXP_SUBNORMAL ) {
return sign * 0.0; // sign-preserving
}
// Handle overflow:
if ( p > MAX_EXP ) {
return PINF;
}
return sign * pow( 10.0, p );
}
// EXPORTS //
module.exports = ceil10;
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