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test: add tests and its fixtures
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‎lib/node_modules/@stdlib/math/base/special/kernel-sincos/test/fixtures/julia/REQUIRE‎

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julia 1.5
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JSON 0.21

‎lib/node_modules/@stdlib/math/base/special/kernel-sincos/test/fixtures/julia/large_negative.json‎

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‎lib/node_modules/@stdlib/math/base/special/kernel-sincos/test/fixtures/julia/large_positive.json‎

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‎lib/node_modules/@stdlib/math/base/special/kernel-sincos/test/fixtures/julia/small_range.json‎

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‎lib/node_modules/@stdlib/math/base/special/kernel-sincos/test/test.js‎

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/**
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* @license Apache-2.0
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*
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* Copyright (c) 2025 The Stdlib Authors.
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*
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* Licensed under the Apache License, Version 2.0 (the "License");
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* you may not use this file except in compliance with the License.
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* You may obtain a copy of the License at
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*
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* http://www.apache.org/licenses/LICENSE-2.0
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*
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* Unless required by applicable law or agreed to in writing, software
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* distributed under the License is distributed on an "AS IS" BASIS,
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* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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* See the License for the specific language governing permissions and
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* limitations under the License.
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*/
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'use strict';
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// MODULES //
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var tape = require( 'tape' );
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var isnan = require( '@stdlib/math/base/assert/is-nan' );
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var rempio2 = require( '@stdlib/math/base/special/rempio2' );
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var kernelSincos = require( './../lib' );
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// FIXTURES //
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var smallRange = require( './fixtures/julia/small_range.json' );
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var largePositive = require( './fixtures/julia/large_positive.json' );
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var largeNegative = require( './fixtures/julia/large_negative.json' );
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// TESTS //
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tape( 'main export is a function', function test( t ) {
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t.ok( true, __filename );
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t.equal( typeof kernelSincos, 'function', 'main export is a function' );
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t.end();
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});
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tape( 'the function returns `NaN` if provided a `NaN`', function test( t ) {
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var v;
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var z;
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z = [ 0.0, 0.0 ];
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v = kernelSincos( NaN, 0.0, z, 1, 0 );
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t.equal( v, z, 'returns output array' );
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t.equal( isnan( v[0] ), true, 'returns expected value' );
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t.equal( isnan( v[1] ), true, 'returns expected value' );
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t.end();
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});
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tape( 'the function evaluates the sine and cosine for input values on the interval `[-pi/4, pi/4]`', function test( t ) {
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var cosine;
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var sine;
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var x;
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var y;
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var i;
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var z;
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z = [ 0.0, 0.0 ];
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x = smallRange.x;
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sine = smallRange.sine;
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cosine = smallRange.cosine;
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for ( i = 0; i < x.length; i++ ) {
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y = kernelSincos( x[i], 0.0, z, 1, 0 );
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t.equal( y, z, 'returns output array' );
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t.equal( y[0], sine[ i ], 'returns expected value' );
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t.equal( y[1], cosine[ i ], 'returns expected value' );
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}
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t.end();
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});
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tape( 'the function can be used to compute the sine and cosine for input values outside of `[-pi/4, pi/4]` after argument reduction via `rempio2` (positive)', function test( t ) {
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var cosine;
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var sine;
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var out;
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var z;
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var x;
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var y;
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var n;
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var i;
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z = [ 0.0, 0.0 ];
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y = [ 0.0, 0.0 ];
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x = largePositive.x;
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sine = largePositive.sine;
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cosine = largePositive.cosine;
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for ( i = 0; i < x.length; i++ ) {
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n = rempio2( x[ i ], y );
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switch ( n & 3 ) {
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case 0:
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out = kernelSincos( y[ 0 ], y[ 1 ], z, 1, 0 );
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t.equal( out, z, 'returns output array' );
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t.equal( out[ 0 ], sine[ i ], 'returns expected value' );
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t.equal( out[ 1 ], cosine[ i ], 'returns expected value' );
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break;
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case 2:
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out = kernelSincos( y[ 0 ], y[ 1 ], z, 1, 0 );
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t.equal( out, z, 'returns output array' );
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t.equal( -out[ 0 ], sine[ i ], 'returns expected value' );
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t.equal( -out[ 1 ], cosine[ i ], 'returns expected value' );
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break;
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default:
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break;
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}
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}
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t.end();
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});
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tape( 'the function can be used to compute the sine and cosine for input values outside of `[-pi/4, pi/4]` after argument reduction via `rempio2` (negative)', function test( t ) {
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var cosine;
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var sine;
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var out;
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var z;
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var x;
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var y;
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var n;
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var i;
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z = [ 0.0, 0.0 ];
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y = [ 0.0, 0.0 ];
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x = largeNegative.x;
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sine = largeNegative.sine;
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cosine = largeNegative.cosine;
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for ( i = 0; i < x.length; i++ ) {
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n = rempio2( x[ i ], y );
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switch ( n & 3 ) {
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case 0:
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out = kernelSincos( y[ 0 ], y[ 1 ], z, 1, 0 );
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t.equal( out, z, 'returns output array' );
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t.equal( out[ 0 ], sine[ i ], 'returns expected value' );
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t.equal( out[ 1 ], cosine[ i ], 'returns expected value' );
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break;
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case 2:
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out = kernelSincos( y[ 0 ], y[ 1 ], z, 1, 0 );
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t.equal( out, z, 'returns output array' );
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t.equal( -out[ 0 ], sine[ i ], 'returns expected value' );
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t.equal( -out[ 1 ], cosine[ i ], 'returns expected value' );
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break;
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default:
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break;
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}
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}
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t.end();
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});

‎lib/node_modules/@stdlib/math/base/special/kernel-sincos/test/test.native.js‎

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/**
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* @license Apache-2.0
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*
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* Copyright (c) 2025 The Stdlib Authors.
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*
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* Licensed under the Apache License, Version 2.0 (the "License");
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* you may not use this file except in compliance with the License.
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* You may obtain a copy of the License at
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*
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* http://www.apache.org/licenses/LICENSE-2.0
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*
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* Unless required by applicable law or agreed to in writing, software
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* distributed under the License is distributed on an "AS IS" BASIS,
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* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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* See the License for the specific language governing permissions and
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* limitations under the License.
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*/
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'use strict';
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// MODULES //
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var resolve = require( 'path' ).resolve;
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var tape = require( 'tape' );
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var isnan = require( '@stdlib/math/base/assert/is-nan' );
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var abs = require( '@stdlib/math/base/special/abs' );
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var EPS = require( '@stdlib/constants/float64/eps' );
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var rempio2 = require( '@stdlib/math/base/special/rempio2' );
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var tryRequire = require( '@stdlib/utils/try-require' );
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// VARIABLES //
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var kernelSincos = tryRequire( resolve( __dirname, './../lib/native.js' ) );
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var opts = {
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'skip': ( kernelSincos instanceof Error )
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};
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// FIXTURES //
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var smallRange = require( './fixtures/julia/small_range.json' );
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var largePositive = require( './fixtures/julia/large_positive.json' );
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var largeNegative = require( './fixtures/julia/large_negative.json' );
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// TESTS //
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tape( 'main export is a function', opts, function test( t ) {
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t.ok( true, __filename );
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t.equal( typeof kernelSincos, 'function', 'main export is a function' );
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t.end();
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});
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tape( 'the function returns `NaN` if provided a `NaN`', opts, function test( t ) {
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var v;
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v = kernelSincos( NaN, 0.0 );
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t.equal( isnan( v[0] ), true, 'returns expected value' );
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t.equal( isnan( v[1] ), true, 'returns expected value' );
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t.end();
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});
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tape( 'the function evaluates the sine and cosine for input values on the interval `[-pi/4, pi/4]`', opts, function test( t ) {
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var cosine;
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var delta;
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var sine;
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var tol;
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var x;
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var y;
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var i;
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x = smallRange.x;
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sine = smallRange.sine;
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cosine = smallRange.cosine;
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for ( i = 0; i < x.length; i++ ) {
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y = kernelSincos( x[i], 0.0 );
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if ( y[0] === sine[ i ] ) {
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t.equal( y[0], sine[ i ], 'returns expected value' );
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} else {
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delta = abs( y[0] - sine[i] );
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// NOTE: the tolerance here is larger than for the JavaScript implementation due to compiler optimizations which may be performed resulting in result divergence. For discussion, see https://github.com/stdlib-js/stdlib/pull/2298#discussion_r1624765205
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tol = EPS * abs( sine[i] );
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t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. Value: '+y[0]+'. Expected: '+sine[i]+'. tol: '+tol+'. delta: '+delta+'.' );
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}
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t.equal( y[1], cosine[ i ], 'returns expected value' );
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}
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t.end();
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});
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tape( 'the function can be used to compute the sine and cosine for input values outside of `[-pi/4, pi/4]` after argument reduction via `rempio2` (positive)', opts, function test( t ) {
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var cosine;
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var delta;
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var sine;
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var tol;
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var out;
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var x;
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var y;
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var n;
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var i;
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y = [ 0.0, 0.0 ];
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x = largePositive.x;
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sine = largePositive.sine;
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cosine = largePositive.cosine;
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for ( i = 0; i < x.length; i++ ) {
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n = rempio2( x[ i ], y );
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switch ( n & 3 ) {
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case 0:
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out = kernelSincos( y[ 0 ], y[ 1 ] );
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if ( out[0] === sine[ i ] ) {
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t.equal( out[0], sine[ i ], 'returns expected value' );
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} else {
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delta = abs( out[0] - sine[i] );
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// NOTE: the tolerance here is larger than for the JavaScript implementation due to compiler optimizations which may be performed resulting in result divergence. For discussion, see https://github.com/stdlib-js/stdlib/pull/2298#discussion_r1624765205
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tol = EPS * abs( sine[i] );
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t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. Value: '+out[0]+'. Expected: '+sine[i]+'. tol: '+tol+'. delta: '+delta+'.' );
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}
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t.equal( out[1], cosine[ i ], 'returns expected value' );
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break;
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case 2:
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out = kernelSincos( y[ 0 ], y[ 1 ] );
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out[ 0 ] = -out[ 0 ];
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out[ 1 ] = -out[ 1 ];
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if ( out[0] === sine[ i ] ) {
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t.equal( out[0], sine[ i ], 'returns expected value' );
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} else {
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delta = abs( out[0] - sine[i] );
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// NOTE: the tolerance here is larger than for the JavaScript implementation due to compiler optimizations which may be performed resulting in result divergence. For discussion, see https://github.com/stdlib-js/stdlib/pull/2298#discussion_r1624765205
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tol = EPS * abs( sine[i] );
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t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. Value: '+out[0]+'. Expected: '+sine[i]+'. tol: '+tol+'. delta: '+delta+'.' );
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}
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if ( out[1] === cosine[ i ] ) {
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t.equal( out[1], cosine[ i ], 'returns expected value' );
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} else {
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delta = abs( out[1] - cosine[i] );
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// NOTE: the tolerance here is larger than for the JavaScript implementation due to compiler optimizations which may be performed resulting in result divergence. For discussion, see https://github.com/stdlib-js/stdlib/pull/2298#discussion_r1624765205
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tol = EPS * abs( cosine[i] );
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t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. Value: '+out[1]+'. Expected: '+cosine[i]+'. tol: '+tol+'. delta: '+delta+'.' );
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}
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break;
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default:
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break;
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}
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}
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t.end();
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});
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tape( 'the function can be used to compute the sine and cosine for input values outside of `[-pi/4, pi/4]` after argument reduction via `rempio2` (negative)', opts, function test( t ) {
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var cosine;
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var delta;
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var sine;
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var tol;
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var out;
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var x;
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var y;
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var n;
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var i;
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y = [ 0.0, 0.0 ];
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x = largeNegative.x;
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sine = largeNegative.sine;
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cosine = largeNegative.cosine;
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for ( i = 0; i < x.length; i++ ) {
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n = rempio2( x[ i ], y );
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switch ( n & 3 ) {
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case 0:
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out = kernelSincos( y[ 0 ], y[ 1 ] );
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if ( out[0] === sine[ i ] ) {
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t.equal( out[0], sine[ i ], 'returns expected value' );
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} else {
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delta = abs( out[0] - sine[i] );
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// NOTE: the tolerance here is larger than for the JavaScript implementation due to compiler optimizations which may be performed resulting in result divergence. For discussion, see https://github.com/stdlib-js/stdlib/pull/2298#discussion_r1624765205
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tol = EPS * abs( sine[i] );
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t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. Value: '+out[0]+'. Expected: '+sine[i]+'. tol: '+tol+'. delta: '+delta+'.' );
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}
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t.equal( out[1], cosine[ i ], 'returns expected value' );
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break;
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case 2:
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out = kernelSincos( y[ 0 ], y[ 1 ] );
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out[ 0 ] = -out[ 0 ];
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out[ 1 ] = -out[ 1 ];
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if ( out[0] === sine[ i ] ) {
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t.equal( out[0], sine[ i ], 'returns expected value' );
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} else {
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delta = abs( out[0] - sine[i] );
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// NOTE: the tolerance here is larger than for the JavaScript implementation due to compiler optimizations which may be performed resulting in result divergence. For discussion, see https://github.com/stdlib-js/stdlib/pull/2298#discussion_r1624765205
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tol = EPS * abs( sine[i] );
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t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. Value: '+out[0]+'. Expected: '+sine[i]+'. tol: '+tol+'. delta: '+delta+'.' );
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}
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if ( out[1] === cosine[ i ] ) {
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t.equal( out[1], cosine[ i ], 'returns expected value' );
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} else {
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delta = abs( out[1] - cosine[i] );
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// NOTE: the tolerance here is larger than for the JavaScript implementation due to compiler optimizations which may be performed resulting in result divergence. For discussion, see https://github.com/stdlib-js/stdlib/pull/2298#discussion_r1624765205
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tol = EPS * abs( cosine[i] );
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t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. Value: '+out[1]+'. Expected: '+cosine[i]+'. tol: '+tol+'. delta: '+delta+'.' );
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}
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break;
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default:
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break;
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}
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}
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t.end();
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});

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