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* @license Apache-2.0
*
* Copyright (c) 2024 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 deg2rad = require( '@stdlib/math/base/special/deg2rad' );
var kernelSin = require( '@stdlib/math/base/special/kernel-sin' );
var kernelCos = require( '@stdlib/math/base/special/kernel-cos' );
var fmod = require( '@stdlib/math/base/special/fmod' );
var abs = require( '@stdlib/math/base/special/abs' );
var isnan = require( '@stdlib/math/base/assert/is-nan' );
var isInfinite = require( '@stdlib/math/base/assert/is-infinite' );
// MAIN //
/**
* Computes the cosine of an angle measured in degrees.
*
* @param {number} x - input value (in degrees)
* @returns {number} cosine
*
* @example
* var v = cosd( 0.0 );
* // returns 1.0
*
* @example
* var v = cosd( 90.0 );
* // returns 0.0
*
* @example
* var v = cosd( 60.0 );
* // returns ~0.5
*
* @example
* var v = cosd( NaN );
* // returns NaN
*/
function cosd( x ) {
var rx;
if (
isInfinite( x ) ||
isnan( x )
) {
return NaN;
}
rx = abs( fmod( x, 360.0 ) );
if ( rx <= 45.0 ) {
return kernelCos( deg2rad( rx ), 0.0 );
}
if ( rx < 135.0 ) {
return kernelSin( deg2rad( 90.0-rx ), 0.0 );
}
if ( rx <= 225.0 ) {
return -kernelCos( deg2rad( 180.0-rx ), 0.0 );
}
if ( rx < 315.0 ) {
return kernelSin( deg2rad( rx-270.0 ), 0.0 );
}
return kernelCos( deg2rad( 360.0-rx ), 0.0 );
}
// EXPORTS //
module.exports = cosd;
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