diff --git a/lib/node_modules/@stdlib/lapack/base/dladiv/README.md b/lib/node_modules/@stdlib/lapack/base/dladiv/README.md new file mode 100644 index 000000000000..232683264b88 --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dladiv/README.md @@ -0,0 +1,222 @@ + + +# dladiv + +> Divide two double-precision complex floating-point numbers in real arithmetic. + +
+ +## Usage + +```javascript +var dladiv = require( '@stdlib/lapack/base/dladiv' ); +``` + +#### dladiv( a, b, c, d, P, Q ) + +Divides two double-precision complex floating-point numbers in real arithmetic. + +```javascript +var Float64Array = require( '@stdlib/array/float64' ); + +var P = new Float64Array( 1 ); +var Q = new Float64Array( 1 ); + +dladiv( -13.0, -1.0, -2.0, 1.0, P, Q ); +// P => [ 5.0 ] +// Q => [ 3.0 ] +``` + +The function has the following parameters: + +- **a**: real component of numerator. +- **b**: imaginary component of numerator. +- **c**: real component of denominator. +- **d**: imaginary component of denominator. +- **P**: [`Float64Array`][mdn-float64array] containing a single element which is overwritten by the real part of the quotient. +- **Q**: [`Float64Array`][mdn-float64array] containing a single element which is overwritten by the imaginary part of the quotient. + +#### dladiv.ndarray( a, b, c, d, P, offsetP, Q, offsetQ ) + +Divides two double-precision complex floating-point numbers in real arithmetic using alternative indexing semantics. + +```javascript +var Float64Array = require( '@stdlib/array/float64' ); + +var P = new Float64Array( 1 ); +var Q = new Float64Array( 1 ); + +dladiv.ndarray( -13.0, -1.0, -2.0, 1.0, P, 0, Q, 0 ); +// P => [ 5.0 ] +// Q => [ 3.0 ] +``` + +The function has the following parameters: + +- **a**: real component of numerator. +- **b**: imaginary component of numerator. +- **c**: real component of denominator. +- **d**: imaginary component of denominator. +- **P**: [`Float64Array`][mdn-float64array] containing an element which is overwritten by the real part of the quotient. +- **offsetP**: index of the element in `P`. +- **Q**: [`Float64Array`][mdn-float64array] containing an element which is overwritten by the imaginary part of the quotient. +- **offsetQ**: index of the element in `Q`. + +While [`typed array`][mdn-typed-array] views mandate a view offset based on the underlying buffer, the offset parameters support indexing semantics based on starting indices. For example, + +```javascript +var Float64Array = require( '@stdlib/array/float64' ); + +var P = new Float64Array( [ 0.0, 0.0, 0.0 ] ); +var Q = new Float64Array( [ 0.0, 0.0, 0.0 ] ); + +dladiv.ndarray( 2.0, 1.0, 3.0, 4.0, P, 1, Q, 2 ); +// P => [ 0.0, 0.4, 0.0 ] +// Q => [ 0.0, 0.0, -0.2 ] +``` + +
+ + + +
+ +## Notes + +- `dladiv()` corresponds to the [LAPACK][LAPACK] function [`dladiv`][lapack-dladiv]. + +
+ + + +
+ +## Examples + + + +```javascript +var Float64Array = require( '@stdlib/array/float64' ); +var dladiv = require( '@stdlib/lapack/base/dladiv' ); + +var P = new Float64Array( 1 ); +var Q = new Float64Array( 1 ); +dladiv( 2.0, 1.0, 3.0, 4.0, P, Q ); +console.log( '(2+i)/(3+4i) =', P[ 0 ], '+', Q[ 0 ], 'i' ); +``` + +
+ + + + + +* * * + +
+ +## C APIs + + + +
+ +
+ + + + + +
+ +### Usage + +```c +TODO +``` + +#### TODO + +TODO. + +```c +TODO +``` + +TODO + +```c +TODO +``` + +
+ + + + + +
+ +
+ + + + + +
+ +### Examples + +```c +TODO +``` + +
+ + + +
+ + + + + + + + + + + + + + diff --git a/lib/node_modules/@stdlib/lapack/base/dladiv/benchmark/benchmark.js b/lib/node_modules/@stdlib/lapack/base/dladiv/benchmark/benchmark.js new file mode 100644 index 000000000000..1d0260987a18 --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dladiv/benchmark/benchmark.js @@ -0,0 +1,72 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 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 bench = require( '@stdlib/bench' ); +var uniform = require( '@stdlib/random/array/uniform' ); +var isnan = require( '@stdlib/math/base/assert/is-nan' ); +var Float64Array = require( '@stdlib/array/float64' ); +var pkg = require( './../package.json' ).name; +var dladiv = require( './../lib' ); + + +// VARIABLES // + +var options = { + 'dtype': 'float64' +}; + + +// MAIN // + +bench( pkg, function benchmark( b ) { + var re; + var im; + var N; + var P; + var Q; + var i; + var j; + var k; + + N = 100; + re = uniform( N, -500.0, 500.0, options ); + im = uniform( N, -500.0, 500.0, options ); + + P = new Float64Array( 1 ); + Q = new Float64Array( 1 ); + + b.tic(); + for ( i = 0; i < b.iterations; i++ ) { + j = i % N; + k = ( i+1 ) % N; + dladiv( re[ j ], im[ j ], re[ k ], im[ k ], P, Q ); + if ( isnan( P[ 0 ] ) || isnan( Q[ 0 ] ) ) { + b.fail( 'should not return NaN' ); + } + } + b.toc(); + if ( isnan( P[ 0 ] ) || isnan( Q[ 0 ] ) ) { + b.fail( 'should not return NaN' ); + } + b.pass( 'benchmark finished' ); + b.end(); +}); diff --git a/lib/node_modules/@stdlib/lapack/base/dladiv/benchmark/benchmark.ndarray.js b/lib/node_modules/@stdlib/lapack/base/dladiv/benchmark/benchmark.ndarray.js new file mode 100644 index 000000000000..a14dcc571dfa --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dladiv/benchmark/benchmark.ndarray.js @@ -0,0 +1,72 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 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 bench = require( '@stdlib/bench' ); +var uniform = require( '@stdlib/random/array/uniform' ); +var isnan = require( '@stdlib/math/base/assert/is-nan' ); +var Float64Array = require( '@stdlib/array/float64' ); +var pkg = require( './../package.json' ).name; +var dladiv = require( './../lib/ndarray.js' ); + + +// VARIABLES // + +var options = { + 'dtype': 'float64' +}; + + +// MAIN // + +bench( pkg+':ndarray', function benchmark( b ) { + var re; + var im; + var N; + var P; + var Q; + var i; + var j; + var k; + + N = 100; + re = uniform( N, -500.0, 500.0, options ); + im = uniform( N, -500.0, 500.0, options ); + + P = new Float64Array( 1 ); + Q = new Float64Array( 1 ); + + b.tic(); + for ( i = 0; i < b.iterations; i++ ) { + j = i % N; + k = ( i+1 ) % N; + dladiv( re[ j ], im[ j ], re[ k ], im[ k ], P, 0, Q, 0 ); + if ( isnan( P[ 0 ] ) || isnan( Q[ 0 ] ) ) { + b.fail( 'should not return NaN' ); + } + } + b.toc(); + if ( isnan( P[ 0 ] ) || isnan( Q[ 0 ] ) ) { + b.fail( 'should not return NaN' ); + } + b.pass( 'benchmark finished' ); + b.end(); +}); diff --git a/lib/node_modules/@stdlib/lapack/base/dladiv/docs/repl.txt b/lib/node_modules/@stdlib/lapack/base/dladiv/docs/repl.txt new file mode 100644 index 000000000000..9bb44d0146ad --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dladiv/docs/repl.txt @@ -0,0 +1,91 @@ + +{{alias}}( a, b, c, d, P, Q ) + Divides two double-precision complex floating-point numbers in real + arithmetic. + + Indexing is relative to the first index. To introduce an offset, use typed + array views. + + Parameters + ---------- + a: number + Real component of numerator. + + b: number + Imaginary component of numerator. + + c: number + Real component of denominator. + + d: number + Imaginary component of denominator. + + P: Float64Array + Array containing a single element which is overwritten by the real part + of the quotient. + + Q: Float64Array + Array containing a single element which is overwritten by the imaginary + part of the quotient. + + Examples + -------- + > var {{alias:@stdlib/array/float64}} = require( '@stdlib/array/float64' ); + > var P = new {{alias:@stdlib/array/float64}}( 1 ); + > var Q = new {{alias:@stdlib/array/float64}}( 1 ); + > {{alias}}( -13.0, -1.0, -2.0, 1.0, P, Q ); + > P + [ 5.0 ] + > Q + [ 3.0 ] + + +{{alias}}.ndarray( a, b, c, d, P, offsetP, Q, offsetQ ) + Divides two double-precision complex floating-point numbers in real + arithmetic using alternative indexing semantics. + + While typed array views mandate a view offset based on the underlying + buffer, the offset parameters support indexing semantics based on starting + indices. + + Parameters + ---------- + a: number + Real component of numerator. + + b: number + Imaginary component of numerator. + + c: number + Real component of denominator. + + d: number + Imaginary component of denominator. + + P: Float64Array + Array containing an element which is overwritten by the real part of the + quotient. + + offsetP: integer + Index of the element in `P`. + + Q: Float64Array + Array containing an element which is overwritten by the imaginary part + of the quotient. + + offsetQ: integer + Index of the element in `Q`. + + Examples + -------- + > var {{alias:@stdlib/array/float64}} = require( '@stdlib/array/float64' ); + > var P = new {{alias:@stdlib/array/float64}}( [ 0.0, 0.0, 0.0 ] ); + > var Q = new {{alias:@stdlib/array/float64}}( [ 0.0, 0.0, 0.0 ] ); + > {{alias}}.ndarray( -13.0, -1.0, -2.0, 1.0, P, 1, Q, 2 ); + > P + [ 0.0, 5.0, 0.0 ] + > Q + [ 0.0, 0.0, 3.0 ] + + See Also + -------- diff --git a/lib/node_modules/@stdlib/lapack/base/dladiv/docs/types/index.d.ts b/lib/node_modules/@stdlib/lapack/base/dladiv/docs/types/index.d.ts new file mode 100644 index 000000000000..71085e5b1619 --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dladiv/docs/types/index.d.ts @@ -0,0 +1,112 @@ +/* +* @license Apache-2.0 +* +* Copyright (c) 2025 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. +*/ + +// TypeScript Version: 4.1 + +/// + +/** +* Interface describing `dladiv`. +*/ +interface Routine { + /** + * Divides two double-precision complex floating-point numbers in real arithmetic. + * + * @param a - real component of numerator + * @param b - imaginary component of numerator + * @param c - real component of denominator + * @param d - imaginary component of denominator + * @param P - array containing a single element which is overwritten by the real part of the quotient + * @param Q - array containing a single element which is overwritten by the imaginary part of the quotient + * @returns void + * + * @example + * var Float64Array = require( '@stdlib/array/float64' ); + * + * var P = new Float64Array( 1 ); + * var Q = new Float64Array( 1 ); + * + * dladiv( -13.0, -1.0, -2.0, 1.0, P, Q ); + * // P => [ 5.0 ] + * // Q => [ 3.0 ] + */ + ( a: number, b: number, c: number, d: number, P: Float64Array, Q: Float64Array ): void; + + /** + * Divides two double-precision complex floating-point numbers in real arithmetic with alternative indexing semantics. + * + * @param a - real component of numerator + * @param b - imaginary component of numerator + * @param c - real component of denominator + * @param d - imaginary component of denominator + * @param P - array containing an element which is overwritten by the real part of the quotient + * @param offsetP - index of the element in `P` + * @param Q - array containing an element which is overwritten by the imaginary part of the quotient + * @param offsetQ - index of the element in `Q` + * @returns void + * + * @example + * var Float64Array = require( '@stdlib/array/float64' ); + * + * var P = new Float64Array( 1 ); + * var Q = new Float64Array( 1 ); + * + * dladiv.ndarray( -13.0, -1.0, -2.0, 1.0, P, 0, Q, 0 ); + * // P => [ 5.0 ] + * // Q => [ 3.0 ] + */ + ndarray( a: number, b: number, c: number, d: number, P: Float64Array, offsetP: number, Q: Float64Array, offsetQ: number ): void; +} + +/** +* Divides two double-precision complex floating-point numbers in real arithmetic. +* +* @param a - real component of numerator +* @param b - imaginary component of numerator +* @param c - real component of denominator +* @param d - imaginary component of denominator +* @param P - array containing a single element which is overwritten by the real part of the quotient +* @param Q - array containing a single element which is overwritten by the imaginary part of the quotient +* @returns void +* +* @example +* var Float64Array = require( '@stdlib/array/float64' ); +* +* var P = new Float64Array( 1 ); +* var Q = new Float64Array( 1 ); +* +* dladiv( -13.0, -1.0, -2.0, 1.0, P, Q ); +* // P => [ 5.0 ] +* // Q => [ 3.0 ] +* +* @example +* var Float64Array = require( '@stdlib/array/float64' ); +* +* var P = new Float64Array( 1 ); +* var Q = new Float64Array( 1 ); +* +* dladiv.ndarray( -13.0, -1.0, -2.0, 1.0, P, 0, Q, 0 ); +* // P => [ 5.0 ] +* // Q => [ 3.0 ] +*/ +declare var dladiv: Routine; + + +// EXPORTS // + +export = dladiv; diff --git a/lib/node_modules/@stdlib/lapack/base/dladiv/docs/types/test.ts b/lib/node_modules/@stdlib/lapack/base/dladiv/docs/types/test.ts new file mode 100644 index 000000000000..08f5e4c5dcd5 --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dladiv/docs/types/test.ts @@ -0,0 +1,278 @@ +/* +* @license Apache-2.0 +* +* Copyright (c) 2025 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. +*/ + +import dladiv = require( './index' ); + + +// TESTS // + +// The function returns void... +{ + const P = new Float64Array( 1 ); + const Q = new Float64Array( 1 ); + + dladiv( -13.0, -1.0, -2.0, 1.0, P, Q ); // $ExpectType void +} + +// The compiler throws an error if the function is provided a first argument which is not a number... +{ + const P = new Float64Array( 1 ); + const Q = new Float64Array( 1 ); + + dladiv( '5', -1.0, -2.0, 1.0, P, Q ); // $ExpectError + dladiv( true, -1.0, -2.0, 1.0, P, Q ); // $ExpectError + dladiv( false, -1.0, -2.0, 1.0, P, Q ); // $ExpectError + dladiv( null, -1.0, -2.0, 1.0, P, Q ); // $ExpectError + dladiv( void 0, -1.0, -2.0, 1.0, P, Q ); // $ExpectError + dladiv( [], -1.0, -2.0, 1.0, P, Q ); // $ExpectError + dladiv( {}, -1.0, -2.0, 1.0, P, Q ); // $ExpectError + dladiv( ( x: number ): number => x, -1.0, -2.0, 1.0, P, Q ); // $ExpectError +} + +// The compiler throws an error if the function is provided a second argument which is not a number... +{ + const P = new Float64Array( 1 ); + const Q = new Float64Array( 1 ); + + dladiv( -13.0, '5', -2.0, 1.0, P, Q ); // $ExpectError + dladiv( -13.0, true, -2.0, 1.0, P, Q ); // $ExpectError + dladiv( -13.0, false, -2.0, 1.0, P, Q ); // $ExpectError + dladiv( -13.0, null, -2.0, 1.0, P, Q ); // $ExpectError + dladiv( -13.0, void 0, -2.0, 1.0, P, Q ); // $ExpectError + dladiv( -13.0, [], -2.0, 1.0, P, Q ); // $ExpectError + dladiv( -13.0, {}, -2.0, 1.0, P, Q ); // $ExpectError + dladiv( -13.0, ( x: number ): number => x, -2.0, 1.0, P, Q ); // $ExpectError +} + +// The compiler throws an error if the function is provided a third argument which is not a number... +{ + const P = new Float64Array( 1 ); + const Q = new Float64Array( 1 ); + + dladiv( -13.0, -1.0, '5', 1.0, P, Q ); // $ExpectError + dladiv( -13.0, -1.0, true, 1.0, P, Q ); // $ExpectError + dladiv( -13.0, -1.0, false, 1.0, P, Q ); // $ExpectError + dladiv( -13.0, -1.0, null, 1.0, P, Q ); // $ExpectError + dladiv( -13.0, -1.0, void 0, 1.0, P, Q ); // $ExpectError + dladiv( -13.0, -1.0, [], 1.0, P, Q ); // $ExpectError + dladiv( -13.0, -1.0, {}, 1.0, P, Q ); // $ExpectError + dladiv( -13.0, -1.0, ( x: number ): number => x, 1.0, P, Q ); // $ExpectError +} + +// The compiler throws an error if the function is provided a fourth argument which is not a number... +{ + const P = new Float64Array( 1 ); + const Q = new Float64Array( 1 ); + + dladiv( -13.0, -1.0, -2.0, '5', P, Q ); // $ExpectError + dladiv( -13.0, -1.0, -2.0, true, P, Q ); // $ExpectError + dladiv( -13.0, -1.0, -2.0, false, P, Q ); // $ExpectError + dladiv( -13.0, -1.0, -2.0, null, P, Q ); // $ExpectError + dladiv( -13.0, -1.0, -2.0, void 0, P, Q ); // $ExpectError + dladiv( -13.0, -1.0, -2.0, [], P, Q ); // $ExpectError + dladiv( -13.0, -1.0, -2.0, {}, P, Q ); // $ExpectError + dladiv( -13.0, -1.0, -2.0, ( x: number ): number => x, P, Q ); // $ExpectError +} + +// The compiler throws an error if the function is provided a fifth argument which is not a Float64Array... +{ + const Q = new Float64Array( 1 ); + + dladiv( -13.0, -1.0, -2.0, 1.0, '5', Q ); // $ExpectError + dladiv( -13.0, -1.0, -2.0, 1.0, 5, Q ); // $ExpectError + dladiv( -13.0, -1.0, -2.0, 1.0, true, Q ); // $ExpectError + dladiv( -13.0, -1.0, -2.0, 1.0, false, Q ); // $ExpectError + dladiv( -13.0, -1.0, -2.0, 1.0, null, Q ); // $ExpectError + dladiv( -13.0, -1.0, -2.0, 1.0, void 0, Q ); // $ExpectError + dladiv( -13.0, -1.0, -2.0, 1.0, [], Q ); // $ExpectError + dladiv( -13.0, -1.0, -2.0, 1.0, {}, Q ); // $ExpectError + dladiv( -13.0, -1.0, -2.0, 1.0, ( x: number ): number => x, Q ); // $ExpectError +} + +// The compiler throws an error if the function is provided a sixth argument which is not a Float64Array... +{ + const P = new Float64Array( 1 ); + + dladiv( -13.0, -1.0, -2.0, 1.0, P, '5' ); // $ExpectError + dladiv( -13.0, -1.0, -2.0, 1.0, P, 5 ); // $ExpectError + dladiv( -13.0, -1.0, -2.0, 1.0, P, true ); // $ExpectError + dladiv( -13.0, -1.0, -2.0, 1.0, P, false ); // $ExpectError + dladiv( -13.0, -1.0, -2.0, 1.0, P, null ); // $ExpectError + dladiv( -13.0, -1.0, -2.0, 1.0, P, void 0 ); // $ExpectError + dladiv( -13.0, -1.0, -2.0, 1.0, P, [] ); // $ExpectError + dladiv( -13.0, -1.0, -2.0, 1.0, P, {} ); // $ExpectError + dladiv( -13.0, -1.0, -2.0, 1.0, P, ( x: number ): number => x ); // $ExpectError +} + +// The compiler throws an error if the function is provided an unsupported number of arguments... +{ + const P = new Float64Array( 1 ); + const Q = new Float64Array( 1 ); + + dladiv(); // $ExpectError + dladiv( -13.0 ); // $ExpectError + dladiv( -13.0, -1.0 ); // $ExpectError + dladiv( -13.0, -1.0, -2.0 ); // $ExpectError + dladiv( -13.0, -1.0, -2.0, 1.0 ); // $ExpectError + dladiv( -13.0, -1.0, -2.0, 1.0, P ); // $ExpectError + dladiv( -13.0, -1.0, -2.0, 1.0, P, Q, 10 ); // $ExpectError +} + +// Attached to main export is an `ndarray` method which returns void... +{ + const P = new Float64Array( 1 ); + const Q = new Float64Array( 1 ); + + dladiv.ndarray( -13.0, -1.0, -2.0, 1.0, P, 0, Q, 0 ); // $ExpectType void +} + +// The compiler throws an error if the function is provided a first argument which is not a number... +{ + const P = new Float64Array( 1 ); + const Q = new Float64Array( 1 ); + + dladiv.ndarray( '5', -1.0, -2.0, 1.0, P, 0, Q, 0 ); // $ExpectError + dladiv.ndarray( true, -1.0, -2.0, 1.0, P, 0, Q, 0 ); // $ExpectError + dladiv.ndarray( false, -1.0, -2.0, 1.0, P, 0, Q, 0 ); // $ExpectError + dladiv.ndarray( null, -1.0, -2.0, 1.0, P, 0, Q, 0 ); // $ExpectError + dladiv.ndarray( void 0, -1.0, -2.0, 1.0, P, 0, Q, 0 ); // $ExpectError + dladiv.ndarray( [], -1.0, -2.0, 1.0, P, 0, Q, 0 ); // $ExpectError + dladiv.ndarray( {}, -1.0, -2.0, 1.0, P, 0, Q, 0 ); // $ExpectError + dladiv.ndarray( ( x: number ): number => x, -1.0, -2.0, 1.0, P, 0, Q, 0 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a second argument which is not a number... +{ + const P = new Float64Array( 1 ); + const Q = new Float64Array( 1 ); + + dladiv.ndarray( -13.0, '5', -2.0, 1.0, P, 0, Q, 0 ); // $ExpectError + dladiv.ndarray( -13.0, true, -2.0, 1.0, P, 0, Q, 0 ); // $ExpectError + dladiv.ndarray( -13.0, false, -2.0, 1.0, P, 0, Q, 0 ); // $ExpectError + dladiv.ndarray( -13.0, null, -2.0, 1.0, P, 0, Q, 0 ); // $ExpectError + dladiv.ndarray( -13.0, void 0, -2.0, 1.0, P, 0, Q, 0 ); // $ExpectError + dladiv.ndarray( -13.0, [], -2.0, 1.0, P, 0, Q, 0 ); // $ExpectError + dladiv.ndarray( -13.0, {}, -2.0, 1.0, P, 0, Q, 0 ); // $ExpectError + dladiv.ndarray( -13.0, ( x: number ): number => x, -2.0, 1.0, P, 0, Q, 0 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a third argument which is not a number... +{ + const P = new Float64Array( 1 ); + const Q = new Float64Array( 1 ); + + dladiv.ndarray( -13.0, -1.0, '5', 1.0, P, 0, Q, 0 ); // $ExpectError + dladiv.ndarray( -13.0, -1.0, true, 1.0, P, 0, Q, 0 ); // $ExpectError + dladiv.ndarray( -13.0, -1.0, false, 1.0, P, 0, Q, 0 ); // $ExpectError + dladiv.ndarray( -13.0, -1.0, null, 1.0, P, 0, Q, 0 ); // $ExpectError + dladiv.ndarray( -13.0, -1.0, void 0, 1.0, P, 0, Q, 0 ); // $ExpectError + dladiv.ndarray( -13.0, -1.0, [], 1.0, P, 0, Q, 0 ); // $ExpectError + dladiv.ndarray( -13.0, -1.0, {}, 1.0, P, 0, Q, 0 ); // $ExpectError + dladiv.ndarray( -13.0, -1.0, ( x: number ): number => x, 1.0, P, 0, Q, 0 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a fourth argument which is not a number... +{ + const P = new Float64Array( 1 ); + const Q = new Float64Array( 1 ); + + dladiv.ndarray( -13.0, -1.0, -2.0, '5', P, 0, Q, 0 ); // $ExpectError + dladiv.ndarray( -13.0, -1.0, -2.0, true, P, 0, Q, 0 ); // $ExpectError + dladiv.ndarray( -13.0, -1.0, -2.0, false, P, 0, Q, 0 ); // $ExpectError + dladiv.ndarray( -13.0, -1.0, -2.0, null, P, 0, Q, 0 ); // $ExpectError + dladiv.ndarray( -13.0, -1.0, -2.0, void 0, P, 0, Q, 0 ); // $ExpectError + dladiv.ndarray( -13.0, -1.0, -2.0, [], P, 0, Q, 0 ); // $ExpectError + dladiv.ndarray( -13.0, -1.0, -2.0, {}, P, 0, Q, 0 ); // $ExpectError + dladiv.ndarray( -13.0, -1.0, -2.0, ( x: number ): number => x, P, 0, Q, 0 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a fifth argument which is not a Float64Array... +{ + const Q = new Float64Array( 1 ); + + dladiv.ndarray( -13.0, -1.0, -2.0, 1.0, '5', 0, Q, 0 ); // $ExpectError + dladiv.ndarray( -13.0, -1.0, -2.0, 1.0, 5, 0, Q, 0 ); // $ExpectError + dladiv.ndarray( -13.0, -1.0, -2.0, 1.0, true, 0, Q, 0 ); // $ExpectError + dladiv.ndarray( -13.0, -1.0, -2.0, 1.0, false, 0, Q, 0 ); // $ExpectError + dladiv.ndarray( -13.0, -1.0, -2.0, 1.0, null, 0, Q, 0 ); // $ExpectError + dladiv.ndarray( -13.0, -1.0, -2.0, 1.0, void 0, 0, Q, 0 ); // $ExpectError + dladiv.ndarray( -13.0, -1.0, -2.0, 1.0, [], 0, Q, 0 ); // $ExpectError + dladiv.ndarray( -13.0, -1.0, -2.0, 1.0, {}, 0, Q, 0 ); // $ExpectError + dladiv.ndarray( -13.0, -1.0, -2.0, 1.0, ( x: number ): number => x, 0, Q, 0 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a sixth argument which is not a number... +{ + const P = new Float64Array( 1 ); + const Q = new Float64Array( 1 ); + + dladiv.ndarray( -13.0, -1.0, -2.0, 1.0, P, '5', Q, 0 ); // $ExpectError + dladiv.ndarray( -13.0, -1.0, -2.0, 1.0, P, true, Q, 0 ); // $ExpectError + dladiv.ndarray( -13.0, -1.0, -2.0, 1.0, P, false, Q, 0 ); // $ExpectError + dladiv.ndarray( -13.0, -1.0, -2.0, 1.0, P, null, Q, 0 ); // $ExpectError + dladiv.ndarray( -13.0, -1.0, -2.0, 1.0, P, void 0, Q, 0 ); // $ExpectError + dladiv.ndarray( -13.0, -1.0, -2.0, 1.0, P, [], Q, 0 ); // $ExpectError + dladiv.ndarray( -13.0, -1.0, -2.0, 1.0, P, {}, Q, 0 ); // $ExpectError + dladiv.ndarray( -13.0, -1.0, -2.0, 1.0, P, ( x: number ): number => x, Q, 0 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a seventh argument which is not a Float64Array... +{ + const P = new Float64Array( 1 ); + + dladiv.ndarray( -13.0, -1.0, -2.0, 1.0, P, 0, '5', 0 ); // $ExpectError + dladiv.ndarray( -13.0, -1.0, -2.0, 1.0, P, 0, 5, 0 ); // $ExpectError + dladiv.ndarray( -13.0, -1.0, -2.0, 1.0, P, 0, true, 0 ); // $ExpectError + dladiv.ndarray( -13.0, -1.0, -2.0, 1.0, P, 0, false, 0 ); // $ExpectError + dladiv.ndarray( -13.0, -1.0, -2.0, 1.0, P, 0, null, 0 ); // $ExpectError + dladiv.ndarray( -13.0, -1.0, -2.0, 1.0, P, 0, void 0, 0 ); // $ExpectError + dladiv.ndarray( -13.0, -1.0, -2.0, 1.0, P, 0, [], 0 ); // $ExpectError + dladiv.ndarray( -13.0, -1.0, -2.0, 1.0, P, 0, {}, 0 ); // $ExpectError + dladiv.ndarray( -13.0, -1.0, -2.0, 1.0, P, 0, ( x: number ): number => x, 0 ); // $ExpectError +} + +// The compiler throws an error if the function is provided an eighth argument which is not a number... +{ + const P = new Float64Array( 1 ); + const Q = new Float64Array( 1 ); + + dladiv.ndarray( -13.0, -1.0, -2.0, 1.0, P, 0, Q, '5' ); // $ExpectError + dladiv.ndarray( -13.0, -1.0, -2.0, 1.0, P, 0, Q, true ); // $ExpectError + dladiv.ndarray( -13.0, -1.0, -2.0, 1.0, P, 0, Q, false ); // $ExpectError + dladiv.ndarray( -13.0, -1.0, -2.0, 1.0, P, 0, Q, null ); // $ExpectError + dladiv.ndarray( -13.0, -1.0, -2.0, 1.0, P, 0, Q, void 0 ); // $ExpectError + dladiv.ndarray( -13.0, -1.0, -2.0, 1.0, P, 0, Q, [] ); // $ExpectError + dladiv.ndarray( -13.0, -1.0, -2.0, 1.0, P, 0, Q, {} ); // $ExpectError + dladiv.ndarray( -13.0, -1.0, -2.0, 1.0, P, 0, Q, ( x: number ): number => x ); // $ExpectError +} + +// The compiler throws an error if the `ndarray` method is provided an unsupported number of arguments... +{ + const P = new Float64Array( 1 ); + const Q = new Float64Array( 1 ); + + dladiv.ndarray(); // $ExpectError + dladiv.ndarray( -13.0 ); // $ExpectError + dladiv.ndarray( -13.0, -1.0 ); // $ExpectError + dladiv.ndarray( -13.0, -1.0, -2.0 ); // $ExpectError + dladiv.ndarray( -13.0, -1.0, -2.0, 1.0 ); // $ExpectError + dladiv.ndarray( -13.0, -1.0, -2.0, 1.0, P ); // $ExpectError + dladiv.ndarray( -13.0, -1.0, -2.0, 1.0, P, 0 ); // $ExpectError + dladiv.ndarray( -13.0, -1.0, -2.0, 1.0, P, 0, Q ); // $ExpectError + dladiv.ndarray( -13.0, -1.0, -2.0, 1.0, P, 0, Q, 0, 10 ); // $ExpectError +} diff --git a/lib/node_modules/@stdlib/lapack/base/dladiv/examples/index.js b/lib/node_modules/@stdlib/lapack/base/dladiv/examples/index.js new file mode 100644 index 000000000000..f167e3d4f067 --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dladiv/examples/index.js @@ -0,0 +1,27 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 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'; + +var Float64Array = require( '@stdlib/array/float64' ); +var dladiv = require( './../lib' ); + +var P = new Float64Array( 1 ); +var Q = new Float64Array( 1 ); +dladiv( 2.0, 1.0, 3.0, 4.0, P, Q ); +console.log( '(2+i)/(3+4i) =', P[ 0 ], '+', Q[ 0 ], 'i' ); diff --git a/lib/node_modules/@stdlib/lapack/base/dladiv/lib/base.js b/lib/node_modules/@stdlib/lapack/base/dladiv/lib/base.js new file mode 100644 index 000000000000..fe5d5b7d493b --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dladiv/lib/base.js @@ -0,0 +1,67 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 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 cdiv = require( '@stdlib/complex/float64/base/div' ).assign; +var Float64Array = require( '@stdlib/array/float64' ); + + +// VARIABLES // + +var out = new Float64Array( 2 ); + + +// MAIN // + +/** +* Divides two double-precision complex floating-point numbers in real arithmetic. +* +* @private +* @param {number} a - real component of numerator +* @param {number} b - imaginary component of numerator +* @param {number} c - real component of denominator +* @param {number} d - imaginary component of denominator +* @param {Float64Array} P - array containing an element which is overwritten by the real part of the quotient +* @param {NonNegativeInteger} offsetP - index of the element in `P` +* @param {Float64Array} Q - array containing an element which is overwritten by the imaginary part of the quotient +* @param {NonNegativeInteger} offsetQ - index of the element in `Q` +* @returns {void} +* +* @example +* var Float64Array = require( '@stdlib/array/float64' ); +* +* var P = new Float64Array( 1 ); +* var Q = new Float64Array( 1 ); +* +* dladiv( -13.0, -1.0, -2.0, 1.0, P, 0, Q, 0 ); +* // P => [ 5.0 ] +* // Q => [ 3.0 ] +*/ +function dladiv( a, b, c, d, P, offsetP, Q, offsetQ ) { + cdiv( a, b, c, d, out, 1, 0 ); + P[ offsetP ] = out[ 0 ]; + Q[ offsetQ ] = out[ 1 ]; +} + + +// EXPORTS // + +module.exports = dladiv; diff --git a/lib/node_modules/@stdlib/lapack/base/dladiv/lib/dladiv.js b/lib/node_modules/@stdlib/lapack/base/dladiv/lib/dladiv.js new file mode 100644 index 000000000000..deace8dc87c8 --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dladiv/lib/dladiv.js @@ -0,0 +1,56 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 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 base = require( './base.js' ); + + +// MAIN // + +/** +* Divides two double-precision complex floating-point numbers in real arithmetic. +* +* @param {number} a - real component of numerator +* @param {number} b - imaginary component of numerator +* @param {number} c - real component of denominator +* @param {number} d - imaginary component of denominator +* @param {Float64Array} P - array containing a single element which is overwritten by the real part of the quotient +* @param {Float64Array} Q - array containing a single element which is overwritten by the imaginary part of the quotient +* @returns {void} +* +* @example +* var Float64Array = require( '@stdlib/array/float64' ); +* +* var P = new Float64Array( 1 ); +* var Q = new Float64Array( 1 ); +* +* dladiv( -13.0, -1.0, -2.0, 1.0, P, Q ); +* // P => [ 5.0 ] +* // Q => [ 3.0 ] +*/ +function dladiv( a, b, c, d, P, Q ) { + return base( a, b, c, d, P, 0, Q, 0 ); +} + + +// EXPORTS // + +module.exports = dladiv; diff --git a/lib/node_modules/@stdlib/lapack/base/dladiv/lib/index.js b/lib/node_modules/@stdlib/lapack/base/dladiv/lib/index.js new file mode 100644 index 000000000000..21443bc6ea36 --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dladiv/lib/index.js @@ -0,0 +1,59 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 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'; + +/** +* LAPACK routine to divide two double-precision complex floating-point numbers. +* +* @module @stdlib/lapack/base/dladiv +* +* @example +* var Float64Array = require( '@stdlib/array/float64' ); +* var dladiv = require( '@stdlib/lapack/base/dladiv' ); +* +* var P = new Float64Array( 1 ); +* var Q = new Float64Array( 1 ); +* +* dladiv( -13.0, -1.0, -2.0, 1.0, P, Q ); +* // P => [ 5.0 ] +* // Q => [ 3.0 ] +*/ + +// MODULES // + +var join = require( 'path' ).join; +var tryRequire = require( '@stdlib/utils/try-require' ); +var isError = require( '@stdlib/assert/is-error' ); +var main = require( './main.js' ); + + +// MAIN // + +var dladiv; +var tmp = tryRequire( join( __dirname, './native.js' ) ); +if ( isError( tmp ) ) { + dladiv = main; +} else { + dladiv = tmp; +} + + +// EXPORTS // + +module.exports = dladiv; diff --git a/lib/node_modules/@stdlib/lapack/base/dladiv/lib/main.js b/lib/node_modules/@stdlib/lapack/base/dladiv/lib/main.js new file mode 100644 index 000000000000..67d863cbfbaf --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dladiv/lib/main.js @@ -0,0 +1,35 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 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 setReadOnly = require( '@stdlib/utils/define-nonenumerable-read-only-property' ); +var dladiv = require( './dladiv.js' ); +var ndarray = require( './ndarray.js' ); + + +// MAIN // + +setReadOnly( dladiv, 'ndarray', ndarray ); + + +// EXPORTS // + +module.exports = dladiv; diff --git a/lib/node_modules/@stdlib/lapack/base/dladiv/lib/ndarray.js b/lib/node_modules/@stdlib/lapack/base/dladiv/lib/ndarray.js new file mode 100644 index 000000000000..75ad6e5dcac0 --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dladiv/lib/ndarray.js @@ -0,0 +1,58 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 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 base = require( './base.js' ); + + +// MAIN // + +/** +* Divides two double-precision complex floating-point numbers in real arithmetic. +* +* @param {number} a - real component of numerator +* @param {number} b - imaginary component of numerator +* @param {number} c - real component of denominator +* @param {number} d - imaginary component of denominator +* @param {Float64Array} P - array containing an element which is overwritten by the real part of the quotient +* @param {NonNegativeInteger} offsetP - index of the element in `P` +* @param {Float64Array} Q - array containing an element which is overwritten by the imaginary part of the quotient +* @param {NonNegativeInteger} offsetQ - index of the element in `Q` +* @returns {void} +* +* @example +* var Float64Array = require( '@stdlib/array/float64' ); +* +* var P = new Float64Array( 1 ); +* var Q = new Float64Array( 1 ); +* +* dladiv( -13.0, -1.0, -2.0, 1.0, P, 0, Q, 0 ); +* // P => [ 5.0 ] +* // Q => [ 3.0 ] +*/ +function dladiv( a, b, c, d, P, offsetP, Q, offsetQ ) { + return base( a, b, c, d, P, offsetP, Q, offsetQ ); +} + + +// EXPORTS // + +module.exports = dladiv; diff --git a/lib/node_modules/@stdlib/lapack/base/dladiv/package.json b/lib/node_modules/@stdlib/lapack/base/dladiv/package.json new file mode 100644 index 000000000000..ab2a6e88aa9b --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dladiv/package.json @@ -0,0 +1,70 @@ +{ + "name": "@stdlib/lapack/base/dladiv", + "version": "0.0.0", + "description": "LAPACK routine to divide two double-precision complex floating-point numbers in real arithmetic.", + "license": "Apache-2.0", + "author": { + "name": "The Stdlib Authors", + "url": "https://github.com/stdlib-js/stdlib/graphs/contributors" + }, + "contributors": [ + { + "name": "The Stdlib Authors", + "url": "https://github.com/stdlib-js/stdlib/graphs/contributors" + } + ], + "main": "./lib", + "directories": { + "benchmark": "./benchmark", + "doc": "./docs", + "example": "./examples", + "lib": "./lib", + "test": "./test" + }, + "types": "./docs/types", + "scripts": {}, + "homepage": "https://github.com/stdlib-js/stdlib", + "repository": { + "type": "git", + "url": "git://github.com/stdlib-js/stdlib.git" + }, + "bugs": { + "url": "https://github.com/stdlib-js/stdlib/issues" + }, + "dependencies": {}, + "devDependencies": {}, + "engines": { + "node": ">=0.10.0", + "npm": ">2.7.0" + }, + "os": [ + "aix", + "darwin", + "freebsd", + "linux", + "macos", + "openbsd", + "sunos", + "win32", + "windows" + ], + "keywords": [ + "stdlib", + "stdmath", + "mathematics", + "math", + "lapack", + "dladiv", + "complex", + "division", + "arithmetic", + "linear", + "algebra", + "subroutines", + "array", + "ndarray", + "float64", + "double", + "float64array" + ] +} diff --git a/lib/node_modules/@stdlib/lapack/base/dladiv/test/fixtures/julia/REQUIRE b/lib/node_modules/@stdlib/lapack/base/dladiv/test/fixtures/julia/REQUIRE new file mode 100644 index 000000000000..308c3be89c85 --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dladiv/test/fixtures/julia/REQUIRE @@ -0,0 +1,2 @@ +julia 1.5 +JSON 0.21 diff --git a/lib/node_modules/@stdlib/lapack/base/dladiv/test/fixtures/julia/component_scales1.json b/lib/node_modules/@stdlib/lapack/base/dladiv/test/fixtures/julia/component_scales1.json new file mode 100644 index 000000000000..a286c0c06243 --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dladiv/test/fixtures/julia/component_scales1.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/lapack/base/dladiv/test/fixtures/julia/component_scales2.json b/lib/node_modules/@stdlib/lapack/base/dladiv/test/fixtures/julia/component_scales2.json new file mode 100644 index 000000000000..37c1436e29c2 --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dladiv/test/fixtures/julia/component_scales2.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/lapack/base/dladiv/test/fixtures/julia/data.json b/lib/node_modules/@stdlib/lapack/base/dladiv/test/fixtures/julia/data.json new file mode 100644 index 000000000000..b2d3e38ee707 --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dladiv/test/fixtures/julia/data.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/lapack/base/dladiv/test/fixtures/julia/imaginary_component_scales.json b/lib/node_modules/@stdlib/lapack/base/dladiv/test/fixtures/julia/imaginary_component_scales.json new file mode 100644 index 000000000000..3064811c3e8f --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dladiv/test/fixtures/julia/imaginary_component_scales.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/lapack/base/dladiv/test/fixtures/julia/large_negative_imaginary_components.json b/lib/node_modules/@stdlib/lapack/base/dladiv/test/fixtures/julia/large_negative_imaginary_components.json new file mode 100644 index 000000000000..8bee75e60f67 --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dladiv/test/fixtures/julia/large_negative_imaginary_components.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/lapack/base/dladiv/test/fixtures/julia/large_negative_real_components.json b/lib/node_modules/@stdlib/lapack/base/dladiv/test/fixtures/julia/large_negative_real_components.json new file mode 100644 index 000000000000..b282c2b18783 --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dladiv/test/fixtures/julia/large_negative_real_components.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/lapack/base/dladiv/test/fixtures/julia/large_positive_imaginary_components.json b/lib/node_modules/@stdlib/lapack/base/dladiv/test/fixtures/julia/large_positive_imaginary_components.json new file mode 100644 index 000000000000..46c5d0be151a --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dladiv/test/fixtures/julia/large_positive_imaginary_components.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/lapack/base/dladiv/test/fixtures/julia/large_positive_real_components.json b/lib/node_modules/@stdlib/lapack/base/dladiv/test/fixtures/julia/large_positive_real_components.json new file mode 100644 index 000000000000..490558538bb9 --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dladiv/test/fixtures/julia/large_positive_real_components.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/lapack/base/dladiv/test/fixtures/julia/real_component_scales.json b/lib/node_modules/@stdlib/lapack/base/dladiv/test/fixtures/julia/real_component_scales.json new file mode 100644 index 000000000000..701bcfdcfdc8 --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dladiv/test/fixtures/julia/real_component_scales.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/lapack/base/dladiv/test/fixtures/julia/runner.jl b/lib/node_modules/@stdlib/lapack/base/dladiv/test/fixtures/julia/runner.jl new file mode 100644 index 000000000000..dcd8a24e5391 --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dladiv/test/fixtures/julia/runner.jl @@ -0,0 +1,168 @@ +#!/usr/bin/env julia +# +# @license Apache-2.0 +# +# Copyright (c) 2025 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. + +import JSON + +""" + gen( re1, im1, re2, im2, name ) + +Generate fixture data and write to file. + +# Arguments + +* `re1`: real components for first complex number +* `im1`: imaginary components for first complex number +* `re2`: real components for second complex number +* `im2`: imaginary components for second complex number +* `name::AbstractString`: output filename + +# Examples + +``` julia +julia> re1 = rand( 1000 ); +julia> im1 = rand( 1000 ); +julia> re2 = rand( 1000 ); +julia> im2 = rand( 1000 ); +julia> gen( re1, im1, re2, im2, \"data.json\" ); +``` +""" +function gen( re1, im1, re2, im2, name ) + zre = Array{Float64}( undef, length(re1) ); + zim = Array{Float64}( undef, length(re1) ); + for i in eachindex(re1) + z = Complex{Float64}( re1[i], im1[i] ) / Complex{Float64}( re2[i], im2[i] ); + zre[ i ] = real( z ); + zim[ i ] = imag( z ); + end + + # Store data to be written to file as a collection: + data = Dict([ + ("re1", re1), + ("im1", im1), + ("re2", re2), + ("im2", im2), + ("qre", zre), + ("qim", zim), + ]); + + # Based on the script directory, create an output filepath: + filepath = joinpath( dir, name ); + + # Write the data to the output filepath as JSON: + outfile = open( filepath, "w" ); + write( outfile, JSON.json(data) ); + write( outfile, "\n" ); + close( outfile ); +end + +# Get the filename: +file = @__FILE__; + +# Extract the directory in which this file resides: +dir = dirname( file ); + +# Large positive real components: +re1 = rand( 500 ) .* 1.0e300; +re2 = rand( 500 ) .* 1.0e300; +im1 = ( rand( 500 ) .* 20.0 ) .- 10.0; +im2 = ( rand( 500 ) .* 20.0 ) .- 10.0; +gen( re1, re2, im1, im2, "large_positive_real_components.json" ); + +# Large negative real components: +re1 = -rand( 500 ) .* 1.0e300; +re2 = -rand( 500 ) .* 1.0e300; +im1 = ( rand( 500 ) .* 20.0 ) .- 10.0; +im2 = ( rand( 500 ) .* 20.0 ) .- 10.0; +gen( re1, im1, re2, im2, "large_negative_real_components.json" ); + +# Large positive imaginary components: +re1 = ( rand( 500 ) .* 20.0 ) .- 10.0; +re2 = ( rand( 500 ) .* 20.0 ) .- 10.0; +im1 = rand( 500 ) .* 1.0e300; +im2 = rand( 500 ) .* 1.0e300; +gen( re1, im1, re2, im2, "large_positive_imaginary_components.json" ); + +# Large negative imaginary components: +re1 = ( rand( 500 ) .* 20.0 ) .- 10.0; +re2 = ( rand( 500 ) .* 20.0 ) .- 10.0; +im1 = -rand( 500 ) .* 1.0e300; +im2 = -rand( 500 ) .* 1.0e300; +gen( re1, im1, re2, im2, "large_negative_imaginary_components.json" ); + +# Tiny positive real components: +re1 = rand( 500 ) .* 1.0e-324; +re2 = rand( 500 ) .* 1.0e-324; +im1 = ( rand( 500 ) .* 20.0 ) .- 10.0; +im2 = ( rand( 500 ) .* 20.0 ) .- 10.0; +gen( re1, im1, re2, im2, "tiny_positive_real_components.json" ); + +# Tiny negative real components: +re1 = -rand( 500 ) .* 1.0e-324; +re2 = -rand( 500 ) .* 1.0e-324; +im1 = ( rand( 500 ) .* 20.0 ) .- 10.0; +im2 = ( rand( 500 ) .* 20.0 ) .- 10.0; +gen( re1, im1, re2, im2, "tiny_negative_real_components.json" ); + +# Tiny positive imaginary components: +re1 = ( rand( 500 ) .* 20.0 ) .- 10.0; +re2 = ( rand( 500 ) .* 20.0 ) .- 10.0; +im1 = rand( 500 ) .* 1.0e-324; +im2 = rand( 500 ) .* 1.0e-324; +gen( re1, im1, re2, im2, "tiny_positive_imaginary_components.json" ); + +# Tiny negative imaginary components: +re1 = ( rand( 500 ) .* 20.0 ) .- 10.0; +re2 = ( rand( 500 ) .* 20.0 ) .- 10.0; +im1 = -rand( 500 ) .* 1.0e-324; +im2 = -rand( 500 ) .* 1.0e-324; +gen( re1, im1, re2, im2, "tiny_negative_imaginary_components.json" ); + +# Real components different scales: +re1 = rand( 500 ) .* 1.0e200; +re2 = rand( 500 ) .* 1.0e-100; +im1 = ( rand( 500 ) .* 20.0 ) .- 10.0; +im2 = ( rand( 500 ) .* 20.0 ) .- 10.0; +gen( re1, im1, re2, im2, "real_component_scales.json" ); + +# Imaginary components different scales: +re1 = ( rand( 500 ) .* 20.0 ) .- 10.0; +re2 = ( rand( 500 ) .* 20.0 ) .- 10.0; +im1 = rand( 500 ) .* 1.0e200; +im2 = rand( 500 ) .* 1.0e-100; +gen( re1, im1, re2, im2, "imaginary_component_scales.json" ); + +# Components different scales: +re1 = rand( 500 ) .* 1.0e200; +re2 = rand( 500 ) .* 1.0e200; +im1 = ( rand( 500 ) .* 1.0e-200 ) .- 0.5e-200; +im2 = ( rand( 500 ) .* 1.0e-200 ) .- 0.5e-200; +gen( re1, im1, re2, im2, "component_scales1.json" ); + +# Components different scales: +re1 = ( rand( 500 ) .* 1.0e-200 ) .- 0.5e-200; +re2 = ( rand( 500 ) .* 1.0e-200 ) .- 0.5e-200; +im1 = rand( 500 ) .* 1.0e200; +im2 = rand( 500 ) .* 1.0e200; +gen( re1, im1, re2, im2, "component_scales2.json" ); + +# Normal: +re1 = ( rand( 500 ) .* 100.0 ) .- 50.0; +re2 = ( rand( 500 ) .* 100.0 ) .- 50.0; +im1 = ( rand( 500 ) .* 100.0 ) .- 50.0; +im2 = ( rand( 500 ) .* 100.0 ) .- 50.0; +gen( re1, im1, re2, im2, "data.json" ); diff --git a/lib/node_modules/@stdlib/lapack/base/dladiv/test/fixtures/julia/tiny_negative_imaginary_components.json b/lib/node_modules/@stdlib/lapack/base/dladiv/test/fixtures/julia/tiny_negative_imaginary_components.json new file mode 100644 index 000000000000..a6fd6a11c556 --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dladiv/test/fixtures/julia/tiny_negative_imaginary_components.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/lapack/base/dladiv/test/fixtures/julia/tiny_negative_real_components.json b/lib/node_modules/@stdlib/lapack/base/dladiv/test/fixtures/julia/tiny_negative_real_components.json new file mode 100644 index 000000000000..03f51ad6061c --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dladiv/test/fixtures/julia/tiny_negative_real_components.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/lapack/base/dladiv/test/fixtures/julia/tiny_positive_imaginary_components.json b/lib/node_modules/@stdlib/lapack/base/dladiv/test/fixtures/julia/tiny_positive_imaginary_components.json new file mode 100644 index 000000000000..0999ad5e83b0 --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dladiv/test/fixtures/julia/tiny_positive_imaginary_components.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/lapack/base/dladiv/test/fixtures/julia/tiny_positive_real_components.json b/lib/node_modules/@stdlib/lapack/base/dladiv/test/fixtures/julia/tiny_positive_real_components.json new file mode 100644 index 000000000000..4f968da7a568 --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dladiv/test/fixtures/julia/tiny_positive_real_components.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/lapack/base/dladiv/test/test.dladiv.js b/lib/node_modules/@stdlib/lapack/base/dladiv/test/test.dladiv.js new file mode 100644 index 000000000000..7c55d6efd771 --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dladiv/test/test.dladiv.js @@ -0,0 +1,618 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 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. +*/ + +/* eslint-disable id-length */ + +'use strict'; + +// MODULES // + +var tape = require( 'tape' ); +var abs = require( '@stdlib/math/base/special/abs' ); +var EPS = require( '@stdlib/constants/float64/eps' ); +var Float64Array = require( '@stdlib/array/float64' ); +var dladiv = require( './../lib' ); + + +// FIXTURES // + +var data = require( './fixtures/julia/data.json' ); +var componentScales1 = require( './fixtures/julia/component_scales1.json' ); +var componentScales2 = require( './fixtures/julia/component_scales2.json' ); +var imaginaryComponentScales = require( './fixtures/julia/imaginary_component_scales.json' ); +var realComponentScales = require( './fixtures/julia/real_component_scales.json' ); +var largeNegativeImaginaryComponents = require( './fixtures/julia/large_negative_imaginary_components.json' ); +var largeNegativeRealComponents = require( './fixtures/julia/large_negative_real_components.json' ); +var largePositiveImaginaryComponents = require( './fixtures/julia/large_positive_imaginary_components.json' ); +var largePositiveRealComponents = require( './fixtures/julia/large_positive_real_components.json' ); +var tinyNegativeImaginaryComponents = require( './fixtures/julia/tiny_negative_imaginary_components.json' ); +var tinyNegativeRealComponents = require( './fixtures/julia/tiny_negative_real_components.json' ); +var tinyPositiveImaginaryComponents = require( './fixtures/julia/tiny_positive_imaginary_components.json' ); +var tinyPositiveRealComponents = require( './fixtures/julia/tiny_positive_real_components.json' ); + + +// TESTS // + +tape( 'main export is a function', function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof dladiv, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'the function has an arity of 6', function test( t ) { + t.strictEqual( dladiv.length, 6, 'returns expected value' ); + t.end(); +}); + +tape( 'the function computes a complex quotient (tested against fixtures)', function test( t ) { + var delta; + var tol; + var re1; + var im1; + var re2; + var im2; + var qre; + var qim; + var i; + var P; + var Q; + + re1 = data.re1; + im1 = data.im1; + re2 = data.re2; + im2 = data.im2; + qre = data.qre; + qim = data.qim; + P = new Float64Array( 1 ); + Q = new Float64Array( 1 ); + + for ( i = 0; i < re1.length; i++ ) { + dladiv( re1[ i ], im1[ i ], re2[ i ], im2[ i ], P, Q ); + + if ( P[ 0 ] === qre[ i ] ) { + t.strictEqual( P[ 0 ], qre[ i ], 'returns expected real component' ); + } else { + delta = abs( P[ 0 ] - qre[ i ] ); + tol = EPS * abs( qre[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+re1[i]+' + '+im1[i]+'i. y: '+re2[i]+' + '+im2[i]+'i. real: '+P[ 0 ]+'. expected: '+qre[i]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + if ( Q[ 0 ] === qim[ i ] ) { + t.strictEqual( Q[ 0 ], qim[ i ], 'returns expected imaginary component' ); + } else { + delta = abs( Q[ 0 ] - qim[ i ] ); + tol = EPS * abs( qim[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+re1[i]+' + '+im1[i]+'i. y: '+re2[i]+' + '+im2[i]+'i. imag: '+Q[ 0 ]+'. expected: '+qim[i]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes a complex quotient (different component scales)', function test( t ) { + var delta; + var tol; + var re1; + var im1; + var re2; + var im2; + var qre; + var qim; + var i; + var P; + var Q; + + re1 = componentScales1.re1; + im1 = componentScales1.im1; + re2 = componentScales1.re2; + im2 = componentScales1.im2; + qre = componentScales1.qre; + qim = componentScales1.qim; + P = new Float64Array( 1 ); + Q = new Float64Array( 1 ); + + for ( i = 0; i < re1.length; i++ ) { + dladiv( re1[ i ], im1[ i ], re2[ i ], im2[ i ], P, Q ); + + if ( P[ 0 ] === qre[ i ] ) { + t.strictEqual( P[ 0 ], qre[ i ], 'returns expected real component' ); + } else { + delta = abs( P[ 0 ] - qre[ i ] ); + tol = EPS * abs( qre[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+re1[i]+' + '+im1[i]+'i. y: '+re2[i]+' + '+im2[i]+'i. real: '+P[ 0 ]+'. expected: '+qre[i]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + if ( Q[ 0 ] === qim[ i ] ) { + t.strictEqual( Q[ 0 ], qim[ i ], 'returns expected imaginary component' ); + } else { + delta = abs( Q[ 0 ] - qim[ i ] ); + tol = EPS * abs( qim[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+re1[i]+' + '+im1[i]+'i. y: '+re2[i]+' + '+im2[i]+'i. imag: '+Q[ 0 ]+'. expected: '+qim[i]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes a complex quotient (different component scales)', function test( t ) { + var delta; + var tol; + var re1; + var im1; + var re2; + var im2; + var qre; + var qim; + var i; + var P; + var Q; + + re1 = componentScales2.re1; + im1 = componentScales2.im1; + re2 = componentScales2.re2; + im2 = componentScales2.im2; + qre = componentScales2.qre; + qim = componentScales2.qim; + P = new Float64Array( 1 ); + Q = new Float64Array( 1 ); + + for ( i = 0; i < re1.length; i++ ) { + dladiv( re1[ i ], im1[ i ], re2[ i ], im2[ i ], P, Q ); + + if ( P[ 0 ] === qre[ i ] ) { + t.strictEqual( P[ 0 ], qre[ i ], 'returns expected real component' ); + } else { + delta = abs( P[ 0 ] - qre[ i ] ); + tol = EPS * abs( qre[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+re1[i]+' + '+im1[i]+'i. y: '+re2[i]+' + '+im2[i]+'i. real: '+P[ 0 ]+'. expected: '+qre[i]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + if ( Q[ 0 ] === qim[ i ] ) { + t.strictEqual( Q[ 0 ], qim[ i ], 'returns expected imaginary component' ); + } else { + delta = abs( Q[ 0 ] - qim[ i ] ); + tol = EPS * abs( qim[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+re1[i]+' + '+im1[i]+'i. y: '+re2[i]+' + '+im2[i]+'i. imag: '+Q[ 0 ]+'. expected: '+qim[i]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes a complex quotient (different imaginary component scales)', function test( t ) { + var delta; + var tol; + var re1; + var im1; + var re2; + var im2; + var qre; + var qim; + var i; + var P; + var Q; + + re1 = imaginaryComponentScales.re1; + im1 = imaginaryComponentScales.im1; + re2 = imaginaryComponentScales.re2; + im2 = imaginaryComponentScales.im2; + qre = imaginaryComponentScales.qre; + qim = imaginaryComponentScales.qim; + P = new Float64Array( 1 ); + Q = new Float64Array( 1 ); + + for ( i = 0; i < re1.length; i++ ) { + dladiv( re1[ i ], im1[ i ], re2[ i ], im2[ i ], P, Q ); + + if ( P[ 0 ] === qre[ i ] ) { + t.strictEqual( P[ 0 ], qre[ i ], 'returns expected real component' ); + } else { + delta = abs( P[ 0 ] - qre[ i ] ); + tol = EPS * abs( qre[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+re1[i]+' + '+im1[i]+'i. y: '+re2[i]+' + '+im2[i]+'i. real: '+P[ 0 ]+'. expected: '+qre[i]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + if ( Q[ 0 ] === qim[ i ] ) { + t.strictEqual( Q[ 0 ], qim[ i ], 'returns expected imaginary component' ); + } else { + delta = abs( Q[ 0 ] - qim[ i ] ); + tol = EPS * abs( qim[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+re1[i]+' + '+im1[i]+'i. y: '+re2[i]+' + '+im2[i]+'i. imag: '+Q[ 0 ]+'. expected: '+qim[i]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes a complex quotient (real imaginary component scales)', function test( t ) { + var delta; + var tol; + var re1; + var im1; + var re2; + var im2; + var qre; + var qim; + var i; + var P; + var Q; + + re1 = realComponentScales.re1; + im1 = realComponentScales.im1; + re2 = realComponentScales.re2; + im2 = realComponentScales.im2; + qre = realComponentScales.qre; + qim = realComponentScales.qim; + P = new Float64Array( 1 ); + Q = new Float64Array( 1 ); + + for ( i = 0; i < re1.length; i++ ) { + dladiv( re1[ i ], im1[ i ], re2[ i ], im2[ i ], P, Q ); + + if ( P[ 0 ] === qre[ i ] ) { + t.strictEqual( P[ 0 ], qre[ i ], 'returns expected real component' ); + } else { + delta = abs( P[ 0 ] - qre[ i ] ); + tol = EPS * abs( qre[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+re1[i]+' + '+im1[i]+'i. y: '+re2[i]+' + '+im2[i]+'i. real: '+P[ 0 ]+'. expected: '+qre[i]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + if ( Q[ 0 ] === qim[ i ] ) { + t.strictEqual( Q[ 0 ], qim[ i ], 'returns expected imaginary component' ); + } else { + delta = abs( Q[ 0 ] - qim[ i ] ); + tol = EPS * abs( qim[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+re1[i]+' + '+im1[i]+'i. y: '+re2[i]+' + '+im2[i]+'i. imag: '+Q[ 0 ]+'. expected: '+qim[i]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes a complex quotient (large negative imaginary components)', function test( t ) { + var delta; + var tol; + var re1; + var im1; + var re2; + var im2; + var qre; + var qim; + var i; + var P; + var Q; + + re1 = largeNegativeImaginaryComponents.re1; + im1 = largeNegativeImaginaryComponents.im1; + re2 = largeNegativeImaginaryComponents.re2; + im2 = largeNegativeImaginaryComponents.im2; + qre = largeNegativeImaginaryComponents.qre; + qim = largeNegativeImaginaryComponents.qim; + P = new Float64Array( 1 ); + Q = new Float64Array( 1 ); + + for ( i = 0; i < re1.length; i++ ) { + dladiv( re1[ i ], im1[ i ], re2[ i ], im2[ i ], P, Q ); + + if ( P[ 0 ] === qre[ i ] ) { + t.strictEqual( P[ 0 ], qre[ i ], 'returns expected real component' ); + } else { + delta = abs( P[ 0 ] - qre[ i ] ); + tol = EPS * abs( qre[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+re1[i]+' + '+im1[i]+'i. y: '+re2[i]+' + '+im2[i]+'i. real: '+P[ 0 ]+'. expected: '+qre[i]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + if ( Q[ 0 ] === qim[ i ] ) { + t.strictEqual( Q[ 0 ], qim[ i ], 'returns expected imaginary component' ); + } else { + delta = abs( Q[ 0 ] - qim[ i ] ); + tol = EPS * abs( qim[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+re1[i]+' + '+im1[i]+'i. y: '+re2[i]+' + '+im2[i]+'i. imag: '+Q[ 0 ]+'. expected: '+qim[i]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes a complex quotient (large negative real components)', function test( t ) { + var delta; + var tol; + var re1; + var im1; + var re2; + var im2; + var qre; + var qim; + var i; + var P; + var Q; + + re1 = largeNegativeRealComponents.re1; + im1 = largeNegativeRealComponents.im1; + re2 = largeNegativeRealComponents.re2; + im2 = largeNegativeRealComponents.im2; + qre = largeNegativeRealComponents.qre; + qim = largeNegativeRealComponents.qim; + P = new Float64Array( 1 ); + Q = new Float64Array( 1 ); + + for ( i = 0; i < re1.length; i++ ) { + dladiv( re1[ i ], im1[ i ], re2[ i ], im2[ i ], P, Q ); + + if ( P[ 0 ] === qre[ i ] ) { + t.strictEqual( P[ 0 ], qre[ i ], 'returns expected real component' ); + } else { + delta = abs( P[ 0 ] - qre[ i ] ); + tol = EPS * abs( qre[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+re1[i]+' + '+im1[i]+'i. y: '+re2[i]+' + '+im2[i]+'i. real: '+P[ 0 ]+'. expected: '+qre[i]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + if ( Q[ 0 ] === qim[ i ] ) { + t.strictEqual( Q[ 0 ], qim[ i ], 'returns expected imaginary component' ); + } else { + delta = abs( Q[ 0 ] - qim[ i ] ); + tol = EPS * abs( qim[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+re1[i]+' + '+im1[i]+'i. y: '+re2[i]+' + '+im2[i]+'i. imag: '+Q[ 0 ]+'. expected: '+qim[i]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes a complex quotient (large positive imaginary components)', function test( t ) { + var delta; + var tol; + var re1; + var im1; + var re2; + var im2; + var qre; + var qim; + var i; + var P; + var Q; + + re1 = largePositiveImaginaryComponents.re1; + im1 = largePositiveImaginaryComponents.im1; + re2 = largePositiveImaginaryComponents.re2; + im2 = largePositiveImaginaryComponents.im2; + qre = largePositiveImaginaryComponents.qre; + qim = largePositiveImaginaryComponents.qim; + P = new Float64Array( 1 ); + Q = new Float64Array( 1 ); + + for ( i = 0; i < re1.length; i++ ) { + dladiv( re1[ i ], im1[ i ], re2[ i ], im2[ i ], P, Q ); + + if ( P[ 0 ] === qre[ i ] ) { + t.strictEqual( P[ 0 ], qre[ i ], 'returns expected real component' ); + } else { + delta = abs( P[ 0 ] - qre[ i ] ); + tol = EPS * abs( qre[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+re1[i]+' + '+im1[i]+'i. y: '+re2[i]+' + '+im2[i]+'i. real: '+P[ 0 ]+'. expected: '+qre[i]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + if ( Q[ 0 ] === qim[ i ] ) { + t.strictEqual( Q[ 0 ], qim[ i ], 'returns expected imaginary component' ); + } else { + delta = abs( Q[ 0 ] - qim[ i ] ); + tol = EPS * abs( qim[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+re1[i]+' + '+im1[i]+'i. y: '+re2[i]+' + '+im2[i]+'i. imag: '+Q[ 0 ]+'. expected: '+qim[i]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes a complex quotient (large positive real components)', function test( t ) { + var delta; + var tol; + var re1; + var im1; + var re2; + var im2; + var qre; + var qim; + var i; + var P; + var Q; + + re1 = largePositiveRealComponents.re1; + im1 = largePositiveRealComponents.im1; + re2 = largePositiveRealComponents.re2; + im2 = largePositiveRealComponents.im2; + qre = largePositiveRealComponents.qre; + qim = largePositiveRealComponents.qim; + P = new Float64Array( 1 ); + Q = new Float64Array( 1 ); + + for ( i = 0; i < re1.length; i++ ) { + dladiv( re1[ i ], im1[ i ], re2[ i ], im2[ i ], P, Q ); + + if ( P[ 0 ] === qre[ i ] ) { + t.strictEqual( P[ 0 ], qre[ i ], 'returns expected real component' ); + } else { + delta = abs( P[ 0 ] - qre[ i ] ); + tol = EPS * abs( qre[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+re1[i]+' + '+im1[i]+'i. y: '+re2[i]+' + '+im2[i]+'i. real: '+P[ 0 ]+'. expected: '+qre[i]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + if ( Q[ 0 ] === qim[ i ] ) { + t.strictEqual( Q[ 0 ], qim[ i ], 'returns expected imaginary component' ); + } else { + delta = abs( Q[ 0 ] - qim[ i ] ); + tol = EPS * abs( qim[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+re1[i]+' + '+im1[i]+'i. y: '+re2[i]+' + '+im2[i]+'i. imag: '+Q[ 0 ]+'. expected: '+qim[i]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes a complex quotient (tiny negative imaginary components)', function test( t ) { + var delta; + var tol; + var re1; + var im1; + var re2; + var im2; + var qre; + var qim; + var i; + var P; + var Q; + + re1 = tinyNegativeImaginaryComponents.re1; + im1 = tinyNegativeImaginaryComponents.im1; + re2 = tinyNegativeImaginaryComponents.re2; + im2 = tinyNegativeImaginaryComponents.im2; + qre = tinyNegativeImaginaryComponents.qre; + qim = tinyNegativeImaginaryComponents.qim; + P = new Float64Array( 1 ); + Q = new Float64Array( 1 ); + + for ( i = 0; i < re1.length; i++ ) { + dladiv( re1[ i ], im1[ i ], re2[ i ], im2[ i ], P, Q ); + + if ( P[ 0 ] === qre[ i ] ) { + t.strictEqual( P[ 0 ], qre[ i ], 'returns expected real component' ); + } else { + tol = EPS * abs( qre[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+re1[i]+' + '+im1[i]+'i. y: '+re2[i]+' + '+im2[i]+'i. real: '+P[ 0 ]+'. expected: '+qre[i]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + if ( Q[ 0 ] === qim[ i ] ) { + t.strictEqual( Q[ 0 ], qim[ i ], 'returns expected imaginary component' ); + } else { + delta = abs( Q[ 0 ] - qim[ i ] ); + tol = EPS * abs( qim[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+re1[i]+' + '+im1[i]+'i. y: '+re2[i]+' + '+im2[i]+'i. imag: '+Q[ 0 ]+'. expected: '+qim[i]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes a complex quotient (tiny negative real components)', function test( t ) { + var delta; + var tol; + var re1; + var im1; + var re2; + var im2; + var qre; + var qim; + var i; + var P; + var Q; + + re1 = tinyNegativeRealComponents.re1; + im1 = tinyNegativeRealComponents.im1; + re2 = tinyNegativeRealComponents.re2; + im2 = tinyNegativeRealComponents.im2; + qre = tinyNegativeRealComponents.qre; + qim = tinyNegativeRealComponents.qim; + P = new Float64Array( 1 ); + Q = new Float64Array( 1 ); + + for ( i = 0; i < re1.length; i++ ) { + dladiv( re1[ i ], im1[ i ], re2[ i ], im2[ i ], P, Q ); + + if ( P[ 0 ] === qre[ i ] ) { + t.strictEqual( P[ 0 ], qre[ i ], 'returns expected real component' ); + } else { + delta = abs( P[ 0 ] - qre[ i ] ); + tol = EPS * abs( qre[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+re1[i]+' + '+im1[i]+'i. y: '+re2[i]+' + '+im2[i]+'i. real: '+P[ 0 ]+'. expected: '+qre[i]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + if ( Q[ 0 ] === qim[ i ] ) { + t.strictEqual( Q[ 0 ], qim[ i ], 'returns expected imaginary component' ); + } else { + delta = abs( Q[ 0 ] - qim[ i ] ); + tol = EPS * abs( qim[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+re1[i]+' + '+im1[i]+'i. y: '+re2[i]+' + '+im2[i]+'i. imag: '+Q[ 0 ]+'. expected: '+qim[i]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes a complex quotient (tiny positive imaginary components)', function test( t ) { + var delta; + var tol; + var re1; + var im1; + var re2; + var im2; + var qre; + var qim; + var i; + var P; + var Q; + + re1 = tinyPositiveImaginaryComponents.re1; + im1 = tinyPositiveImaginaryComponents.im1; + re2 = tinyPositiveImaginaryComponents.re2; + im2 = tinyPositiveImaginaryComponents.im2; + qre = tinyPositiveImaginaryComponents.qre; + qim = tinyPositiveImaginaryComponents.qim; + P = new Float64Array( 1 ); + Q = new Float64Array( 1 ); + + for ( i = 0; i < re1.length; i++ ) { + dladiv( re1[ i ], im1[ i ], re2[ i ], im2[ i ], P, Q ); + + if ( P[ 0 ] === qre[ i ] ) { + t.strictEqual( P[ 0 ], qre[ i ], 'returns expected real component' ); + } else { + delta = abs( P[ 0 ] - qre[ i ] ); + tol = EPS * abs( qre[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+re1[i]+' + '+im1[i]+'i. y: '+re2[i]+' + '+im2[i]+'i. real: '+P[ 0 ]+'. expected: '+qre[i]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + if ( Q[ 0 ] === qim[ i ] ) { + t.strictEqual( Q[ 0 ], qim[ i ], 'returns expected imaginary component' ); + } else { + delta = abs( Q[ 0 ] - qim[ i ] ); + tol = EPS * abs( qim[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+re1[i]+' + '+im1[i]+'i. y: '+re2[i]+' + '+im2[i]+'i. imag: '+Q[ 0 ]+'. expected: '+qim[i]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes a complex quotient (tiny positive real components)', function test( t ) { + var delta; + var tol; + var re1; + var im1; + var re2; + var im2; + var qre; + var qim; + var i; + var P; + var Q; + + re1 = tinyPositiveRealComponents.re1; + im1 = tinyPositiveRealComponents.im1; + re2 = tinyPositiveRealComponents.re2; + im2 = tinyPositiveRealComponents.im2; + qre = tinyPositiveRealComponents.qre; + qim = tinyPositiveRealComponents.qim; + P = new Float64Array( 1 ); + Q = new Float64Array( 1 ); + + for ( i = 0; i < re1.length; i++ ) { + dladiv( re1[ i ], im1[ i ], re2[ i ], im2[ i ], P, Q ); + + if ( P[ 0 ] === qre[ i ] ) { + t.strictEqual( P[ 0 ], qre[ i ], 'returns expected real component' ); + } else { + delta = abs( P[ 0 ] - qre[ i ] ); + tol = EPS * abs( qre[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+re1[i]+' + '+im1[i]+'i. y: '+re2[i]+' + '+im2[i]+'i. real: '+P[ 0 ]+'. expected: '+qre[i]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + if ( Q[ 0 ] === qim[ i ] ) { + t.strictEqual( Q[ 0 ], qim[ i ], 'returns expected imaginary component' ); + } else { + delta = abs( Q[ 0 ] - qim[ i ] ); + tol = EPS * abs( qim[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+re1[i]+' + '+im1[i]+'i. y: '+re2[i]+' + '+im2[i]+'i. imag: '+Q[ 0 ]+'. expected: '+qim[i]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); diff --git a/lib/node_modules/@stdlib/lapack/base/dladiv/test/test.js b/lib/node_modules/@stdlib/lapack/base/dladiv/test/test.js new file mode 100644 index 000000000000..45ac7561adf5 --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dladiv/test/test.js @@ -0,0 +1,82 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 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 tape = require( 'tape' ); +var proxyquire = require( 'proxyquire' ); +var IS_BROWSER = require( '@stdlib/assert/is-browser' ); +var dladiv = require( './../lib' ); + + +// VARIABLES // + +var opts = { + 'skip': IS_BROWSER +}; + + +// TESTS // + +tape( 'main export is a function', function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof dladiv, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'attached to the main export is a method providing an ndarray interface', function test( t ) { + t.strictEqual( typeof dladiv.ndarray, 'function', 'method is a function' ); + t.end(); +}); + +tape( 'if a native implementation is available, the main export is the native implementation', opts, function test( t ) { + var dladiv = proxyquire( './../lib', { + '@stdlib/utils/try-require': tryRequire + }); + + t.strictEqual( dladiv, mock, 'returns expected value' ); + t.end(); + + function tryRequire() { + return mock; + } + + function mock() { + // Mock... + } +}); + +tape( 'if a native implementation is not available, the main export is a JavaScript implementation', opts, function test( t ) { + var dladiv; + var main; + + main = require( './../lib/dladiv.js' ); + + dladiv = proxyquire( './../lib', { + '@stdlib/utils/try-require': tryRequire + }); + + t.strictEqual( dladiv, main, 'returns expected value' ); + t.end(); + + function tryRequire() { + return new Error( 'Cannot find module' ); + } +}); diff --git a/lib/node_modules/@stdlib/lapack/base/dladiv/test/test.ndarray.js b/lib/node_modules/@stdlib/lapack/base/dladiv/test/test.ndarray.js new file mode 100644 index 000000000000..d4fc0725e828 --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dladiv/test/test.ndarray.js @@ -0,0 +1,662 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 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. +*/ + +/* eslint-disable id-length */ + +'use strict'; + +// MODULES // + +var tape = require( 'tape' ); +var abs = require( '@stdlib/math/base/special/abs' ); +var EPS = require( '@stdlib/constants/float64/eps' ); +var Float64Array = require( '@stdlib/array/float64' ); +var dladiv = require( './../lib/ndarray.js' ); + + +// FIXTURES // + +var data = require( './fixtures/julia/data.json' ); +var componentScales1 = require( './fixtures/julia/component_scales1.json' ); +var componentScales2 = require( './fixtures/julia/component_scales2.json' ); +var imaginaryComponentScales = require( './fixtures/julia/imaginary_component_scales.json' ); +var realComponentScales = require( './fixtures/julia/real_component_scales.json' ); +var largeNegativeImaginaryComponents = require( './fixtures/julia/large_negative_imaginary_components.json' ); +var largeNegativeRealComponents = require( './fixtures/julia/large_negative_real_components.json' ); +var largePositiveImaginaryComponents = require( './fixtures/julia/large_positive_imaginary_components.json' ); +var largePositiveRealComponents = require( './fixtures/julia/large_positive_real_components.json' ); +var tinyNegativeImaginaryComponents = require( './fixtures/julia/tiny_negative_imaginary_components.json' ); +var tinyNegativeRealComponents = require( './fixtures/julia/tiny_negative_real_components.json' ); +var tinyPositiveImaginaryComponents = require( './fixtures/julia/tiny_positive_imaginary_components.json' ); +var tinyPositiveRealComponents = require( './fixtures/julia/tiny_positive_real_components.json' ); + + +// TESTS // + +tape( 'main export is a function', function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof dladiv, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'the function has an arity of 8', function test( t ) { + t.strictEqual( dladiv.length, 8, 'returns expected value' ); + t.end(); +}); + +tape( 'the function computes a complex quotient (tested against fixtures)', function test( t ) { + var delta; + var tol; + var re1; + var im1; + var re2; + var im2; + var qre; + var qim; + var i; + var P; + var Q; + + re1 = data.re1; + im1 = data.im1; + re2 = data.re2; + im2 = data.im2; + qre = data.qre; + qim = data.qim; + P = new Float64Array( 1 ); + Q = new Float64Array( 1 ); + + for ( i = 0; i < re1.length; i++ ) { + dladiv( re1[ i ], im1[ i ], re2[ i ], im2[ i ], P, 0, Q, 0 ); + + if ( P[ 0 ] === qre[ i ] ) { + t.strictEqual( P[ 0 ], qre[ i ], 'returns expected real component' ); + } else { + delta = abs( P[ 0 ] - qre[ i ] ); + tol = EPS * abs( qre[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+re1[i]+' + '+im1[i]+'i. y: '+re2[i]+' + '+im2[i]+'i. real: '+P[ 0 ]+'. expected: '+qre[i]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + if ( Q[ 0 ] === qim[ i ] ) { + t.strictEqual( Q[ 0 ], qim[ i ], 'returns expected imaginary component' ); + } else { + delta = abs( Q[ 0 ] - qim[ i ] ); + tol = EPS * abs( qim[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+re1[i]+' + '+im1[i]+'i. y: '+re2[i]+' + '+im2[i]+'i. imag: '+Q[ 0 ]+'. expected: '+qim[i]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes a complex quotient (different component scales)', function test( t ) { + var delta; + var tol; + var re1; + var im1; + var re2; + var im2; + var qre; + var qim; + var i; + var P; + var Q; + + re1 = componentScales1.re1; + im1 = componentScales1.im1; + re2 = componentScales1.re2; + im2 = componentScales1.im2; + qre = componentScales1.qre; + qim = componentScales1.qim; + P = new Float64Array( 1 ); + Q = new Float64Array( 1 ); + + for ( i = 0; i < re1.length; i++ ) { + dladiv( re1[ i ], im1[ i ], re2[ i ], im2[ i ], P, 0, Q, 0 ); + + if ( P[ 0 ] === qre[ i ] ) { + t.strictEqual( P[ 0 ], qre[ i ], 'returns expected real component' ); + } else { + delta = abs( P[ 0 ] - qre[ i ] ); + tol = EPS * abs( qre[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+re1[i]+' + '+im1[i]+'i. y: '+re2[i]+' + '+im2[i]+'i. real: '+P[ 0 ]+'. expected: '+qre[i]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + if ( Q[ 0 ] === qim[ i ] ) { + t.strictEqual( Q[ 0 ], qim[ i ], 'returns expected imaginary component' ); + } else { + delta = abs( Q[ 0 ] - qim[ i ] ); + tol = EPS * abs( qim[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+re1[i]+' + '+im1[i]+'i. y: '+re2[i]+' + '+im2[i]+'i. imag: '+Q[ 0 ]+'. expected: '+qim[i]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes a complex quotient (different component scales)', function test( t ) { + var delta; + var tol; + var re1; + var im1; + var re2; + var im2; + var qre; + var qim; + var i; + var P; + var Q; + + re1 = componentScales2.re1; + im1 = componentScales2.im1; + re2 = componentScales2.re2; + im2 = componentScales2.im2; + qre = componentScales2.qre; + qim = componentScales2.qim; + P = new Float64Array( 1 ); + Q = new Float64Array( 1 ); + + for ( i = 0; i < re1.length; i++ ) { + dladiv( re1[ i ], im1[ i ], re2[ i ], im2[ i ], P, 0, Q, 0 ); + + if ( P[ 0 ] === qre[ i ] ) { + t.strictEqual( P[ 0 ], qre[ i ], 'returns expected real component' ); + } else { + delta = abs( P[ 0 ] - qre[ i ] ); + tol = EPS * abs( qre[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+re1[i]+' + '+im1[i]+'i. y: '+re2[i]+' + '+im2[i]+'i. real: '+P[ 0 ]+'. expected: '+qre[i]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + if ( Q[ 0 ] === qim[ i ] ) { + t.strictEqual( Q[ 0 ], qim[ i ], 'returns expected imaginary component' ); + } else { + delta = abs( Q[ 0 ] - qim[ i ] ); + tol = EPS * abs( qim[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+re1[i]+' + '+im1[i]+'i. y: '+re2[i]+' + '+im2[i]+'i. imag: '+Q[ 0 ]+'. expected: '+qim[i]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes a complex quotient (different imaginary component scales)', function test( t ) { + var delta; + var tol; + var re1; + var im1; + var re2; + var im2; + var qre; + var qim; + var i; + var P; + var Q; + + re1 = imaginaryComponentScales.re1; + im1 = imaginaryComponentScales.im1; + re2 = imaginaryComponentScales.re2; + im2 = imaginaryComponentScales.im2; + qre = imaginaryComponentScales.qre; + qim = imaginaryComponentScales.qim; + P = new Float64Array( 1 ); + Q = new Float64Array( 1 ); + + for ( i = 0; i < re1.length; i++ ) { + dladiv( re1[ i ], im1[ i ], re2[ i ], im2[ i ], P, 0, Q, 0 ); + + if ( P[ 0 ] === qre[ i ] ) { + t.strictEqual( P[ 0 ], qre[ i ], 'returns expected real component' ); + } else { + delta = abs( P[ 0 ] - qre[ i ] ); + tol = EPS * abs( qre[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+re1[i]+' + '+im1[i]+'i. y: '+re2[i]+' + '+im2[i]+'i. real: '+P[ 0 ]+'. expected: '+qre[i]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + if ( Q[ 0 ] === qim[ i ] ) { + t.strictEqual( Q[ 0 ], qim[ i ], 'returns expected imaginary component' ); + } else { + delta = abs( Q[ 0 ] - qim[ i ] ); + tol = EPS * abs( qim[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+re1[i]+' + '+im1[i]+'i. y: '+re2[i]+' + '+im2[i]+'i. imag: '+Q[ 0 ]+'. expected: '+qim[i]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes a complex quotient (real imaginary component scales)', function test( t ) { + var delta; + var tol; + var re1; + var im1; + var re2; + var im2; + var qre; + var qim; + var i; + var P; + var Q; + + re1 = realComponentScales.re1; + im1 = realComponentScales.im1; + re2 = realComponentScales.re2; + im2 = realComponentScales.im2; + qre = realComponentScales.qre; + qim = realComponentScales.qim; + P = new Float64Array( 1 ); + Q = new Float64Array( 1 ); + + for ( i = 0; i < re1.length; i++ ) { + dladiv( re1[ i ], im1[ i ], re2[ i ], im2[ i ], P, 0, Q, 0 ); + + if ( P[ 0 ] === qre[ i ] ) { + t.strictEqual( P[ 0 ], qre[ i ], 'returns expected real component' ); + } else { + delta = abs( P[ 0 ] - qre[ i ] ); + tol = EPS * abs( qre[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+re1[i]+' + '+im1[i]+'i. y: '+re2[i]+' + '+im2[i]+'i. real: '+P[ 0 ]+'. expected: '+qre[i]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + if ( Q[ 0 ] === qim[ i ] ) { + t.strictEqual( Q[ 0 ], qim[ i ], 'returns expected imaginary component' ); + } else { + delta = abs( Q[ 0 ] - qim[ i ] ); + tol = EPS * abs( qim[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+re1[i]+' + '+im1[i]+'i. y: '+re2[i]+' + '+im2[i]+'i. imag: '+Q[ 0 ]+'. expected: '+qim[i]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes a complex quotient (large negative imaginary components)', function test( t ) { + var delta; + var tol; + var re1; + var im1; + var re2; + var im2; + var qre; + var qim; + var i; + var P; + var Q; + + re1 = largeNegativeImaginaryComponents.re1; + im1 = largeNegativeImaginaryComponents.im1; + re2 = largeNegativeImaginaryComponents.re2; + im2 = largeNegativeImaginaryComponents.im2; + qre = largeNegativeImaginaryComponents.qre; + qim = largeNegativeImaginaryComponents.qim; + P = new Float64Array( 1 ); + Q = new Float64Array( 1 ); + + for ( i = 0; i < re1.length; i++ ) { + dladiv( re1[ i ], im1[ i ], re2[ i ], im2[ i ], P, 0, Q, 0 ); + + if ( P[ 0 ] === qre[ i ] ) { + t.strictEqual( P[ 0 ], qre[ i ], 'returns expected real component' ); + } else { + delta = abs( P[ 0 ] - qre[ i ] ); + tol = EPS * abs( qre[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+re1[i]+' + '+im1[i]+'i. y: '+re2[i]+' + '+im2[i]+'i. real: '+P[ 0 ]+'. expected: '+qre[i]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + if ( Q[ 0 ] === qim[ i ] ) { + t.strictEqual( Q[ 0 ], qim[ i ], 'returns expected imaginary component' ); + } else { + delta = abs( Q[ 0 ] - qim[ i ] ); + tol = EPS * abs( qim[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+re1[i]+' + '+im1[i]+'i. y: '+re2[i]+' + '+im2[i]+'i. imag: '+Q[ 0 ]+'. expected: '+qim[i]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes a complex quotient (large negative real components)', function test( t ) { + var delta; + var tol; + var re1; + var im1; + var re2; + var im2; + var qre; + var qim; + var i; + var P; + var Q; + + re1 = largeNegativeRealComponents.re1; + im1 = largeNegativeRealComponents.im1; + re2 = largeNegativeRealComponents.re2; + im2 = largeNegativeRealComponents.im2; + qre = largeNegativeRealComponents.qre; + qim = largeNegativeRealComponents.qim; + P = new Float64Array( 1 ); + Q = new Float64Array( 1 ); + + for ( i = 0; i < re1.length; i++ ) { + dladiv( re1[ i ], im1[ i ], re2[ i ], im2[ i ], P, 0, Q, 0 ); + + if ( P[ 0 ] === qre[ i ] ) { + t.strictEqual( P[ 0 ], qre[ i ], 'returns expected real component' ); + } else { + delta = abs( P[ 0 ] - qre[ i ] ); + tol = EPS * abs( qre[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+re1[i]+' + '+im1[i]+'i. y: '+re2[i]+' + '+im2[i]+'i. real: '+P[ 0 ]+'. expected: '+qre[i]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + if ( Q[ 0 ] === qim[ i ] ) { + t.strictEqual( Q[ 0 ], qim[ i ], 'returns expected imaginary component' ); + } else { + delta = abs( Q[ 0 ] - qim[ i ] ); + tol = EPS * abs( qim[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+re1[i]+' + '+im1[i]+'i. y: '+re2[i]+' + '+im2[i]+'i. imag: '+Q[ 0 ]+'. expected: '+qim[i]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes a complex quotient (large positive imaginary components)', function test( t ) { + var delta; + var tol; + var re1; + var im1; + var re2; + var im2; + var qre; + var qim; + var i; + var P; + var Q; + + re1 = largePositiveImaginaryComponents.re1; + im1 = largePositiveImaginaryComponents.im1; + re2 = largePositiveImaginaryComponents.re2; + im2 = largePositiveImaginaryComponents.im2; + qre = largePositiveImaginaryComponents.qre; + qim = largePositiveImaginaryComponents.qim; + P = new Float64Array( 1 ); + Q = new Float64Array( 1 ); + + for ( i = 0; i < re1.length; i++ ) { + dladiv( re1[ i ], im1[ i ], re2[ i ], im2[ i ], P, 0, Q, 0 ); + + if ( P[ 0 ] === qre[ i ] ) { + t.strictEqual( P[ 0 ], qre[ i ], 'returns expected real component' ); + } else { + delta = abs( P[ 0 ] - qre[ i ] ); + tol = EPS * abs( qre[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+re1[i]+' + '+im1[i]+'i. y: '+re2[i]+' + '+im2[i]+'i. real: '+P[ 0 ]+'. expected: '+qre[i]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + if ( Q[ 0 ] === qim[ i ] ) { + t.strictEqual( Q[ 0 ], qim[ i ], 'returns expected imaginary component' ); + } else { + delta = abs( Q[ 0 ] - qim[ i ] ); + tol = EPS * abs( qim[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+re1[i]+' + '+im1[i]+'i. y: '+re2[i]+' + '+im2[i]+'i. imag: '+Q[ 0 ]+'. expected: '+qim[i]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes a complex quotient (large positive real components)', function test( t ) { + var delta; + var tol; + var re1; + var im1; + var re2; + var im2; + var qre; + var qim; + var i; + var P; + var Q; + + re1 = largePositiveRealComponents.re1; + im1 = largePositiveRealComponents.im1; + re2 = largePositiveRealComponents.re2; + im2 = largePositiveRealComponents.im2; + qre = largePositiveRealComponents.qre; + qim = largePositiveRealComponents.qim; + P = new Float64Array( 1 ); + Q = new Float64Array( 1 ); + + for ( i = 0; i < re1.length; i++ ) { + dladiv( re1[ i ], im1[ i ], re2[ i ], im2[ i ], P, 0, Q, 0 ); + + if ( P[ 0 ] === qre[ i ] ) { + t.strictEqual( P[ 0 ], qre[ i ], 'returns expected real component' ); + } else { + delta = abs( P[ 0 ] - qre[ i ] ); + tol = EPS * abs( qre[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+re1[i]+' + '+im1[i]+'i. y: '+re2[i]+' + '+im2[i]+'i. real: '+P[ 0 ]+'. expected: '+qre[i]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + if ( Q[ 0 ] === qim[ i ] ) { + t.strictEqual( Q[ 0 ], qim[ i ], 'returns expected imaginary component' ); + } else { + delta = abs( Q[ 0 ] - qim[ i ] ); + tol = EPS * abs( qim[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+re1[i]+' + '+im1[i]+'i. y: '+re2[i]+' + '+im2[i]+'i. imag: '+Q[ 0 ]+'. expected: '+qim[i]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes a complex quotient (tiny negative imaginary components)', function test( t ) { + var delta; + var tol; + var re1; + var im1; + var re2; + var im2; + var qre; + var qim; + var i; + var P; + var Q; + + re1 = tinyNegativeImaginaryComponents.re1; + im1 = tinyNegativeImaginaryComponents.im1; + re2 = tinyNegativeImaginaryComponents.re2; + im2 = tinyNegativeImaginaryComponents.im2; + qre = tinyNegativeImaginaryComponents.qre; + qim = tinyNegativeImaginaryComponents.qim; + P = new Float64Array( 1 ); + Q = new Float64Array( 1 ); + + for ( i = 0; i < re1.length; i++ ) { + dladiv( re1[ i ], im1[ i ], re2[ i ], im2[ i ], P, 0, Q, 0 ); + + if ( P[ 0 ] === qre[ i ] ) { + t.strictEqual( P[ 0 ], qre[ i ], 'returns expected real component' ); + } else { + delta = abs( P[ 0 ] - qre[ i ] ); + tol = EPS * abs( qre[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+re1[i]+' + '+im1[i]+'i. y: '+re2[i]+' + '+im2[i]+'i. real: '+P[ 0 ]+'. expected: '+qre[i]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + if ( Q[ 0 ] === qim[ i ] ) { + t.strictEqual( Q[ 0 ], qim[ i ], 'returns expected imaginary component' ); + } else { + delta = abs( Q[ 0 ] - qim[ i ] ); + tol = EPS * abs( qim[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+re1[i]+' + '+im1[i]+'i. y: '+re2[i]+' + '+im2[i]+'i. imag: '+Q[ 0 ]+'. expected: '+qim[i]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes a complex quotient (tiny negative real components)', function test( t ) { + var delta; + var tol; + var re1; + var im1; + var re2; + var im2; + var qre; + var qim; + var i; + var P; + var Q; + + re1 = tinyNegativeRealComponents.re1; + im1 = tinyNegativeRealComponents.im1; + re2 = tinyNegativeRealComponents.re2; + im2 = tinyNegativeRealComponents.im2; + qre = tinyNegativeRealComponents.qre; + qim = tinyNegativeRealComponents.qim; + P = new Float64Array( 1 ); + Q = new Float64Array( 1 ); + + for ( i = 0; i < re1.length; i++ ) { + dladiv( re1[ i ], im1[ i ], re2[ i ], im2[ i ], P, 0, Q, 0 ); + + if ( P[ 0 ] === qre[ i ] ) { + t.strictEqual( P[ 0 ], qre[ i ], 'returns expected real component' ); + } else { + delta = abs( P[ 0 ] - qre[ i ] ); + tol = EPS * abs( qre[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+re1[i]+' + '+im1[i]+'i. y: '+re2[i]+' + '+im2[i]+'i. real: '+P[ 0 ]+'. expected: '+qre[i]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + if ( Q[ 0 ] === qim[ i ] ) { + t.strictEqual( Q[ 0 ], qim[ i ], 'returns expected imaginary component' ); + } else { + delta = abs( Q[ 0 ] - qim[ i ] ); + tol = EPS * abs( qim[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+re1[i]+' + '+im1[i]+'i. y: '+re2[i]+' + '+im2[i]+'i. imag: '+Q[ 0 ]+'. expected: '+qim[i]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes a complex quotient (tiny positive imaginary components)', function test( t ) { + var delta; + var tol; + var re1; + var im1; + var re2; + var im2; + var qre; + var qim; + var i; + var P; + var Q; + + re1 = tinyPositiveImaginaryComponents.re1; + im1 = tinyPositiveImaginaryComponents.im1; + re2 = tinyPositiveImaginaryComponents.re2; + im2 = tinyPositiveImaginaryComponents.im2; + qre = tinyPositiveImaginaryComponents.qre; + qim = tinyPositiveImaginaryComponents.qim; + P = new Float64Array( 1 ); + Q = new Float64Array( 1 ); + + for ( i = 0; i < re1.length; i++ ) { + dladiv( re1[ i ], im1[ i ], re2[ i ], im2[ i ], P, 0, Q, 0 ); + + if ( P[ 0 ] === qre[ i ] ) { + t.strictEqual( P[ 0 ], qre[ i ], 'returns expected real component' ); + } else { + delta = abs( P[ 0 ] - qre[ i ] ); + tol = EPS * abs( qre[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+re1[i]+' + '+im1[i]+'i. y: '+re2[i]+' + '+im2[i]+'i. real: '+P[ 0 ]+'. expected: '+qre[i]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + if ( Q[ 0 ] === qim[ i ] ) { + t.strictEqual( Q[ 0 ], qim[ i ], 'returns expected imaginary component' ); + } else { + delta = abs( Q[ 0 ] - qim[ i ] ); + tol = EPS * abs( qim[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+re1[i]+' + '+im1[i]+'i. y: '+re2[i]+' + '+im2[i]+'i. imag: '+Q[ 0 ]+'. expected: '+qim[i]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes a complex quotient (tiny positive real components)', function test( t ) { + var delta; + var tol; + var re1; + var im1; + var re2; + var im2; + var qre; + var qim; + var i; + var P; + var Q; + + re1 = tinyPositiveRealComponents.re1; + im1 = tinyPositiveRealComponents.im1; + re2 = tinyPositiveRealComponents.re2; + im2 = tinyPositiveRealComponents.im2; + qre = tinyPositiveRealComponents.qre; + qim = tinyPositiveRealComponents.qim; + P = new Float64Array( 1 ); + Q = new Float64Array( 1 ); + + for ( i = 0; i < re1.length; i++ ) { + dladiv( re1[ i ], im1[ i ], re2[ i ], im2[ i ], P, 0, Q, 0 ); + + if ( P[ 0 ] === qre[ i ] ) { + t.strictEqual( P[ 0 ], qre[ i ], 'returns expected real component' ); + } else { + delta = abs( P[ 0 ] - qre[ i ] ); + tol = EPS * abs( qre[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+re1[i]+' + '+im1[i]+'i. y: '+re2[i]+' + '+im2[i]+'i. real: '+P[ 0 ]+'. expected: '+qre[i]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + if ( Q[ 0 ] === qim[ i ] ) { + t.strictEqual( Q[ 0 ], qim[ i ], 'returns expected imaginary component' ); + } else { + delta = abs( Q[ 0 ] - qim[ i ] ); + tol = EPS * abs( qim[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+re1[i]+' + '+im1[i]+'i. y: '+re2[i]+' + '+im2[i]+'i. imag: '+Q[ 0 ]+'. expected: '+qim[i]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function supports array offsets', function test( t ) { + var delta; + var tol; + var re1; + var im1; + var re2; + var im2; + var qre; + var qim; + var i; + var P; + var Q; + + re1 = data.re1; + im1 = data.im1; + re2 = data.re2; + im2 = data.im2; + qre = data.qre; + qim = data.qim; + P = new Float64Array( 3 ); + Q = new Float64Array( 3 ); + + for ( i = 0; i < re1.length; i++ ) { + dladiv( re1[ i ], im1[ i ], re2[ i ], im2[ i ], P, 1, Q, 2 ); + + if ( P[ 1 ] === qre[ i ] ) { + t.strictEqual( P[ 1 ], qre[ i ], 'returns expected real component' ); + } else { + delta = abs( P[ 1 ] - qre[ i ] ); + tol = EPS * abs( qre[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+re1[i]+' + '+im1[i]+'i. y: '+re2[i]+' + '+im2[i]+'i. real: '+P[ 1 ]+'. expected: '+qre[i]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + if ( Q[ 2 ] === qim[ i ] ) { + t.strictEqual( Q[ 2 ], qim[ i ], 'returns expected imaginary component' ); + } else { + delta = abs( Q[ 2 ] - qim[ i ] ); + tol = EPS * abs( qim[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+re1[i]+' + '+im1[i]+'i. y: '+re2[i]+' + '+im2[i]+'i. imag: '+Q[ 2 ]+'. expected: '+qim[i]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +});