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* @license Apache-2.0
*
* Copyright (c) 2026 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.
*
*
* ## Notice
*
* The original C code, long comment, copyright, license, and constants are from [Cephes]{@link http://www.netlib.org/cephes}. The implementation follows the original, but has been modified for JavaScript.
*
* ```text
* Copyright 1984, 1991, 2000 by Stephen L. Moshier
*
* Some software in this archive may be from the book _Methods and Programs for Mathematical Functions_ (Prentice-Hall or Simon & Schuster International, 1989) or from the Cephes Mathematical Library, a commercial product. In either event, it is copyrighted by the author. What you see here may be used freely but it comes with no support or guarantee.
*
* Stephen L. Moshier
* moshier@na-net.ornl.gov
* ```
*/
'use strict';
// MODULES //
var floorf = require( '@stdlib/math/base/special/floorf' );
var ldexpf = require( '@stdlib/math/base/special/ldexpf' );
var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
var MAXL10F = require( '@stdlib/constants/float32/max-base10-exponent' );
var MINL10F = require( '@stdlib/constants/float32/min-base10-exponent' );
var PINF = require( '@stdlib/constants/float32/pinf' );
var f32 = require( '@stdlib/number/float64/base/to-float32' );
var polyvalP = require( './polyval_p.js' );
// VARIABLES //
var LOG210 = 3.32192809488736234787e0;
var LG102A = 3.00781250000000000000e-1;
var LG102B = 2.48745663981195213739e-4;
// MAIN //
/**
* Returns `10` raised to the `x` power in single-precision floating-point format.
*
* ## Method
*
* - Range reduction is accomplished by expressing the argument as
*
* ```tex
* 10^x = 2^n 10^f,
* ```
*
* where \(|f| < \frac{1}{2}\log_{10}(2)\).
*
* - The fractional part is approximated by evaluating a degree-5 polynomial
* for \(10^f-1\), after which \(1\) is added to recover \(10^f\).
*
* @param {number} x - input value
* @returns {number} function value
*
* @example
* var v = exp10f( 2.0 );
* // returns 100.0
*
* @example
* var v = exp10f( -3.0 );
* // returns 0.0010000000474974513
*
* @example
* var v = exp10f( 0.0 );
* // returns 1.0
*
* @example
* var v = exp10f( NaN );
* // returns NaN
*/
function exp10f( x ) {
var px;
var qx;
var xx;
var n;
x = f32( x );
if ( isnanf( x ) ) {
return x;
}
if ( x > MAXL10F ) {
return PINF;
}
if ( x < MINL10F ) {
return 0.0;
}
if ( x === 0.0 ) {
return 1.0;
}
px = x * LOG210;
qx = floorf( px + 0.5 );
n = qx;
xx = x;
xx -= qx * LG102A;
xx -= qx * LG102B;
px = 1.0 + ( xx * polyvalP( xx ) );
return f32( ldexpf( px, n ) );
}
// EXPORTS //
module.exports = exp10f;
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