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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 FLOAT64_SMALLEST_NORMAL = require( '@stdlib/constants/float64/smallest-normal' );
var isInfinite = require( '@stdlib/math/base/assert/is-infinite' );
var isnan = require( '@stdlib/math/base/assert/is-nan' );
var abs = require( '@stdlib/math/base/special/abs' );
// VARIABLES //
// (1<<52)
var SCALAR = 4503599627370496;
// MAIN //
/**
* Returns a normal number `y` and exponent `exp` satisfying \\(x = y \cdot 2^\mathrm{exp}\\) and assigns results to a provided output array.
*
* @param {number} x - input value
* @param {Collection} out - output array
* @param {integer} stride - output array stride
* @param {NonNegativeInteger} offset - output array index offset
* @returns {Collection} output array
*
* @example
* var pow = require( '@stdlib/math/base/special/pow' );
*
* var out = normalize( 3.14e-319, [ 0.0, 0 ], 1, 0 );
* // returns [ 1.4141234400356668e-303, -52 ]
*
* var y = out[ 0 ];
* var exp = out[ 1 ];
*
* var bool = ( y*pow(2.0,exp) === 3.14e-319 );
* // returns true
*
* @example
* var out = normalize( 0.0, [ 0.0, 0 ], 1, 0 );
* // returns [ 0.0, 0 ];
*
* @example
* var PINF = require( '@stdlib/constants/float64/pinf' );
*
* var out = normalize( PINF, [ 0.0, 0 ], 1, 0 );
* // returns [ Infinity, 0 ]
*
* @example
* var NINF = require( '@stdlib/constants/float64/ninf' );
*
* var out = normalize( NINF, [ 0.0, 0 ], 1, 0 );
* // returns [ -Infinity, 0 ]
*
* @example
* var out = normalize( NaN, [ 0.0, 0 ], 1, 0 );
* // returns [ NaN, 0 ]
*/
function normalize( x, out, stride, offset ) {
if ( isnan( x ) || isInfinite( x ) ) {
out[ offset ] = x;
out[ offset + stride ] = 0;
return out;
}
if ( x !== 0.0 && abs( x ) < FLOAT64_SMALLEST_NORMAL ) {
out[ offset ] = x * SCALAR;
out[ offset + stride ] = -52;
return out;
}
out[ offset ] = x;
out[ offset + stride ] = 0;
return out;
}
// EXPORTS //
module.exports = normalize;
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