diff --git a/lib/node_modules/@stdlib/blas/base/ctpmv/README.md b/lib/node_modules/@stdlib/blas/base/ctpmv/README.md new file mode 100644 index 000000000000..887f88ff9d0f --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ctpmv/README.md @@ -0,0 +1,267 @@ + + +# ctpmv + +> Perform one of the matrix-vector operations `x = A*x` or `x = A^T*x`, or `x = A**H*x` for complex-valued data. + +
+ +## Usage + +```javascript +var ctpmv = require( '@stdlib/blas/base/ctpmv' ); +``` + +#### ctpmv( order, uplo, trans, diag, N, AP, x, sx ) + +Performs one of the matrix-vector operations `x = A*x`, or `x = A**T*x`, or `x = A**H*x`, where `x` is an `N` element complex vector and `A` is an `N` by `N` unit, or non-unit, upper or lower triangular complex matrix, supplied in packed form. + + +```javascript +var Complex64Array = require( '@stdlib/array/complex64' ); + +var AP = new Complex64Array( [ 1.0, 1.0, 2.0, 2.0, 4.0, 4.0, 3.0, 3.0, 5.0, 5.0, 6.0, 6.0 ] ); // eslint-disable-line max-params, max-len +var x = new Complex64Array( [ 1.0, 1.0, 2.0, 2.0, 3.0, 3.0 ] ); + +ctpmv( 'row-major', 'lower', 'no-transpose', 'non-unit', 3, AP, x, 1 ); +// x => [ 0.0, 2.0, 0.0, 20.0, 0.0, 62.0 ] +``` + +The function has the following parameters: + +- **order**: storage layout. +- **uplo**: specifies whether `A` is an upper or lower triangular matrix. +- **trans**: specifies whether `A` should be transposed, conjugate-transposed, or not transposed. +- **diag**: specifies whether `A` has a unit diagonal. +- **N**: number of elements along each dimension of `A`. +- **AP**: Complex input matrix in packed form stored in linear memory as a [`Complex64Array`][@stdlib/array/complex64]. +- **x**: complex input vector [`Complex64Array`][@stdlib/array/complex64]. +- **sx**: stride length for `x`. + +The stride parameters determine how elements in the input arrays are accessed at runtime. For example, to iterate over the elements of `x` in reverse order, + +```javascript +var Complex64Array = require( '@stdlib/array/complex64' ); + +var AP = new Complex64Array( [ 1.0, 1.0, 2.0, 2.0, 4.0, 4.0, 3.0, 3.0, 5.0, 5.0, 6.0, 6.0 ] ); // eslint-disable-line max-params, max-len +var x = new Complex64Array( [ 3.0, 3.0, 2.0, 2.0, 1.0, 1.0 ] ); + +ctpmv( 'row-major', 'lower', 'no-transpose', 'non-unit', 3, AP, x, -1 ); +// x => [ 0.0, 62.0, 0.0, 20.0, 0.0, 2.0 ] +``` + +Note that indexing is relative to the first index. To introduce an offset, use [`typed array`][mdn-typed-array] views. + + + +```javascript +var Complex64Array = require( '@stdlib/array/complex64' ); +var Complex64 = require( '@stdlib/complex/float32/ctor' ); + +// Initial arrays... +var x0 = new Complex64Array( [ 0.0, 0.0, 1.0, 1.0, 2.0, 2.0, 3.0, 3.0 ] ); +var AP = new Complex64Array( [ 1.0, 1.0, 2.0, 2.0, 4.0, 4.0, 3.0, 3.0, 5.0, 5.0, 6.0, 6.0 ] ); // eslint-disable-line max-params, max-len + +// Create offset views... +var x1 = new Complex64Array( x0.buffer, x0.BYTES_PER_ELEMENT*1 ); // start at 2nd complex element + +ctpmv( 'row-major', 'lower', 'no-transpose', 'non-unit', 3, AP, x1, 1 ); +// x1 => [ 0.0, 2.0, 0.0, 20.0, 0.0, 62.0 ] +``` + + + +#### ctpmv.ndarray( order, uplo, trans, diag, N, AP, sap, oap, x, sx, ox ) + +Performs one of the matrix-vector operations `x = A*x`, or `x = A**T*x`, or `x = A**H*x`, using alternative indexing semantics and where `x` is an `N` element complex vector and `A` is an `N` by `N` unit, or non-unit, upper or lower triangular complex matrix, supplied in packed form. + +```javascript +var Complex64Array = require( '@stdlib/array/complex64' ); + +var AP = new Complex64Array( [ 1.0, 1.0, 2.0, 2.0, 4.0, 4.0, 3.0, 3.0, 5.0, 5.0, 6.0, 6.0 ] ); // eslint-disable-line max-params, max-len +var x = new Complex64Array( [ 1.0, 1.0, 2.0, 2.0, 3.0, 3.0 ] ); // eslint-disable-line max-params, max-len + +ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 3, AP, 1, 0, x, 1, 0 ); // eslint-disable-line max-params, max-len +// x => [ 0.0, 2.0, 0.0, 20.0, 0.0, 62.0 ] +``` + +The function has the following additional parameters: + +- **sap**: `AP` stride length +- **oap**: starting index for `AP`. +- **ox**: starting index for `x`. + +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 Complex64Array = require( '@stdlib/array/complex64' ); + +var AP = new Complex64Array( [ 1.0, 1.0, 2.0, 2.0, 4.0, 4.0, 3.0, 3.0, 5.0, 5.0, 6.0, 6.0 ] ); // eslint-disable-line max-params, max-len +var x = new Complex64Array( [ 3.0, 3.0, 2.0, 2.0, 1.0, 1.0 ] ); + +ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 3, AP, 1, 0, x, -1, 2 ); // eslint-disable-line max-params, max-len +// x => [ 0.0, 62.0, 0.0, 20.0, 0.0, 2.0 ] +``` + +
+ + + +
+ +## Notes + +- `ctpmv()` corresponds to the [BLAS][blas] level 2 function [`ctpmv`][ctpmv]. + +
+ + + +
+ +## Examples + + + +```javascript +var discreteUniform = require( '@stdlib/random/base/discrete-uniform' ); +var Complex64 = require( '@stdlib/complex/float32/ctor' ); +var filledarrayBy = require( '@stdlib/array/filled-by' ); +var logEach = require( '@stdlib/console/log-each' ); +var ctpmv = require( '@stdlib/blas/base/ctpmv' ); + +function rand() { + return new Complex64( discreteUniform( 0, 255 ), discreteUniform( -128, 127 ) ); // eslint-disable-line max-params, max-len +} + +var N = 5; + +var AP = filledarrayBy( N * ( N + 1 ) / 2, 'complex64', rand ); +var x = filledarrayBy( N, 'complex64', rand ); + +ctpmv( 'column-major', 'lower', 'no-transpose', 'non-unit', N, AP, x, 1 ); + +// Print the results: +logEach( '(%s)', x ); + +ctpmv.ndarray( 'row-major', 'upper', 'transpose', 'unit', N, AP, 1, 0, x, 1, 0 ); + +// Print the results: +logEach( '(%s)', x ); +``` + +
+ + + + + +* * * + +
+ +## C APIs + + + +
+ +
+ + + + + +
+ +### Usage + +```c +TODO +``` + +#### TODO + +TODO. + +```c +TODO +``` + +TODO + +```c +TODO +``` + +
+ + + + + +
+ +
+ + + + + +
+ +### Examples + +```c +TODO +``` + +
+ + + +
+ + + + + + + + + + + + + + diff --git a/lib/node_modules/@stdlib/blas/base/ctpmv/benchmark/benchmark.js b/lib/node_modules/@stdlib/blas/base/ctpmv/benchmark/benchmark.js new file mode 100644 index 000000000000..790704a26085 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ctpmv/benchmark/benchmark.js @@ -0,0 +1,114 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var bench = require( '@stdlib/bench' ); +var uniform = require( '@stdlib/random/array/uniform' ); +var isnanf = require( '@stdlib/math/base/assert/is-nanf' ); +var pow = require( '@stdlib/math/base/special/pow' ); +var floor = require( '@stdlib/math/base/special/floor' ); +var Complex64Array = require( '@stdlib/array/complex64' ); +var format = require( '@stdlib/string/format' ); +var pkg = require( './../package.json' ).name; +var ctpmv = require( './../lib/ctpmv.js' ); + + +// VARIABLES // + +var options = { + 'dtype': 'float32' +}; + + +// FUNCTIONS // + +/** +* Creates a benchmark function. +* +* @private +* @param {PositiveInteger} N - array length +* @returns {Function} benchmark function +*/ +function createBenchmark( N ) { + var APbuf; + var xbuf; + var AP; + var x; + + xbuf = uniform( N*2, -100.0, 100.0, options ); + x = new Complex64Array( xbuf.buffer ); + APbuf = uniform( (N*(N+1)/2)*2, -100.0, 100.0, options ); + AP = new Complex64Array( APbuf.buffer ); + + return benchmark; + + /** + * Benchmark function. + * + * @private + * @param {Benchmark} b - benchmark instance + */ + function benchmark( b ) { + var i; + var z; + + b.tic(); + for ( i = 0; i < b.iterations; i++ ) { + z = ctpmv( 'row-major', 'lower', 'no-transpose', 'non-unit', N, AP, x, 1 ); + if ( isnanf( z[ i% ( z.length ) ] ) ) { + b.fail( 'should not return NaN' ); + } + } + b.toc(); + if ( isnanf( z[ i % ( z.length ) ] ) ) { + b.fail( 'should not return NaN' ); + } + b.pass( 'benchmark finished' ); + b.end(); + } +} + + +// MAIN // + +/** +* Main execution sequence. +* +* @private +*/ +function main() { + var min; + var max; + var len; + var f; + var i; + + min = 1; // 10^min + max = 6; // 10^max + + for ( i = min; i <= max; i++ ) { + len = floor( pow( pow( 10, i ), 1.0/2.0 ) ); + f = createBenchmark( len ); + bench( format( '%s:size=%d', pkg, ( len * ( len + 1 ) / 2 ) ), f ); + } +} + +main(); diff --git a/lib/node_modules/@stdlib/blas/base/ctpmv/benchmark/benchmark.ndarray.js b/lib/node_modules/@stdlib/blas/base/ctpmv/benchmark/benchmark.ndarray.js new file mode 100644 index 000000000000..c0fc780815cb --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ctpmv/benchmark/benchmark.ndarray.js @@ -0,0 +1,114 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var bench = require( '@stdlib/bench' ); +var uniform = require( '@stdlib/random/array/uniform' ); +var isnanf = require( '@stdlib/math/base/assert/is-nanf' ); +var pow = require( '@stdlib/math/base/special/pow' ); +var floor = require( '@stdlib/math/base/special/floor' ); +var Complex64Array = require( '@stdlib/array/complex64' ); +var format = require( '@stdlib/string/format' ); +var pkg = require( './../package.json' ).name; +var ctpmv = require( './../lib/ndarray.js' ); + + +// VARIABLES // + +var options = { + 'dtype': 'float32' +}; + + +// FUNCTIONS // + +/** +* Creates a benchmark function. +* +* @private +* @param {PositiveInteger} N - array length +* @returns {Function} benchmark function +*/ +function createBenchmark( N ) { + var APbuf; + var xbuf; + var AP; + var x; + + xbuf = uniform( N*2, -100.0, 100.0, options ); + x = new Complex64Array( xbuf.buffer ); + APbuf = uniform( (N*(N+1)/2)*2, -100.0, 100.0, options ); + AP = new Complex64Array( APbuf.buffer ); + + return benchmark; + + /** + * Benchmark function. + * + * @private + * @param {Benchmark} b - benchmark instance + */ + function benchmark( b ) { + var i; + var z; + + b.tic(); + for ( i = 0; i < b.iterations; i++ ) { + z = ctpmv( 'row-major', 'lower', 'no-transpose', 'non-unit', N, AP, 1, 0, x, 1, 0 ); + if ( isnanf( z[ i % ( z.length ) ] ) ) { + b.fail( 'should not return NaN' ); + } + } + b.toc(); + if ( isnanf( z[ i % ( z.length ) ] ) ) { + b.fail( 'should not return NaN' ); + } + b.pass( 'benchmark finished' ); + b.end(); + } +} + + +// MAIN // + +/** +* Main execution sequence. +* +* @private +*/ +function main() { + var min; + var max; + var len; + var f; + var i; + + min = 1; // 10^min + max = 6; // 10^max + + for ( i = min; i <= max; i++ ) { + len = floor( pow( pow( 10, i ), 1.0/2.0 ) ); + f = createBenchmark( len ); + bench( format( '%s:ndarray:size=%d', pkg, ( len * ( len + 1 ) / 2 ) ), f ); + } +} + +main(); diff --git a/lib/node_modules/@stdlib/blas/base/ctpmv/docs/repl.txt b/lib/node_modules/@stdlib/blas/base/ctpmv/docs/repl.txt new file mode 100644 index 000000000000..7b675e881899 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ctpmv/docs/repl.txt @@ -0,0 +1,149 @@ + +{{alias}}( order, uplo, trans, diag, N, AP, x, sx ) + Performs one of the matrix-vector operations `x = A*x`, or `x = A**T*x`, or + `x = A**H*x`, where `x` is an `N` element complex vector and `A` is an `N` + by `N` unit, or non-unit, upper or lower triangular complex matrix, supplied + in packed form. + + Indexing is relative to the first index. To introduce an offset, use typed + array views. + + If `N` is equal to `0`, the function returns `x` unchanged. + + Parameters + ---------- + order: string + Row-major (C-style) or column-major (Fortran-style) order. Must be + either 'row-major' or 'column-major'. + + uplo: string + Specifies whether `A` is an upper or lower triangular matrix. + + trans: string + Specifies whether `A` should be transposed, conjugate-transposed, or + not transposed. + + diag: string + Specifies whether `A` has a unit diagonal. + + N: integer + Number of elements along each dimension of `A`. + + AP: Complex64Array + Matrix in packed form. + + x: Complex64Array + Input vector. + + sx: integer + Index increment for `x`. + + Returns + ------- + x: Complex64Array + Input vector. + + Examples + -------- + > var x = new {{alias:@stdlib/array/complex64}}([1.0,1.0,2.0,2.0,3.0,3.0]); + > var buf = [1.0,1.0,2.0,2.0,4.0,4.0,3.0,3.0,5.0,5.0,6.0,6.0]; + > var AP = new {{alias:@stdlib/array/complex64}}(buf); + > var ord = 'row-major'; + > var uplo = 'lower'; + > var trans = 'no-transpose'; + > var diag = 'non-unit'; + > {{alias}}( ord, uplo, trans, diag, 3, AP, x, 1 ) + [0.0,2.0,0.0,20.0,0.0,62.0] + + // Advanced indexing: + > x = new {{alias:@stdlib/array/complex64}}([3.0,3.0,2.0,2.0,1.0,1.0]); + > buf = [1.0,1.0,2.0,2.0,4.0,4.0,3.0,3.0,5.0,5.0,6.0,6.0]; + > AP = new {{alias:@stdlib/array/complex64}}(buf); + > ord = 'row-major'; + > uplo = 'lower'; + > trans = 'no-transpose'; + > diag = 'non-unit'; + > {{alias}}( ord, uplo, trans, diag, 3, AP, x, -1 ) + [0.0,62.0,0.0,20.0,0.0,2.0] + + // Using typed array views: + > var x0buf = [0.0,0.0,1.0,1.0,2.0,2.0,3.0,3.0]; + > var x0 = new {{alias:@stdlib/array/complex64}}( x0buf ); + > var x0bytes = x0.BYTES_PER_ELEMENT*1; + > var x1 = new {{alias:@stdlib/array/complex64}}( x0.buffer, x0bytes ); + > buf = [1.0,1.0,2.0,2.0,4.0,4.0,3.0,3.0,5.0,5.0,6.0,6.0]; + > AP = new {{alias:@stdlib/array/complex64}}(buf); + > ord = 'row-major'; + > uplo = 'lower'; + > trans = 'no-transpose'; + > diag = 'non-unit'; + > {{alias}}( ord, uplo, trans, diag, 3, AP, x1, 1 ) + [0.0,2.0,0.0,20.0,0.0,62.0] + + +{{alias}}.ndarray( order, uplo, trans, diag, N, AP, sap, oap, x, sx, ox ) + Performs one of the matrix-vector operations `x = A*x` or `x = A**T*x` or + `x = A**H*x`, using alternative indexing semantics and where `x` is an `N` + element complex vector and `A` is an `N` by `N` unit, or non-unit, upper or + lower triangular complex matrix, supplied in packed form. + + While typed array views mandate a view offset based on the underlying + buffer, the offset parameters support indexing semantics based on starting + indices. + + Parameters + ---------- + order: string + Row-major (C-style) or column-major (Fortran-style) order. Must be + either 'row-major' or 'column-major'. + + uplo: string + Specifies whether `A` is an upper or lower triangular matrix. + + trans: string + Specifies whether `A` should be transposed, conjugate-transposed, or + not transposed. + + diag: string + Specifies whether `A` has a unit diagonal. + + N: integer + Number of elements along each dimension of `A`. + + AP: Complex64Array + Matrix in packed form. + + sap: integer + Index increment for `AP`. + + oap: integer + Starting index for `AP`. + + x: Complex64Array + Input vector. + + sx: integer + Index increment for `x`. + + ox: integer + Starting index for `x`. + + Returns + ------- + x: Complex64Array + Input vector. + + Examples + -------- + > x = new {{alias:@stdlib/array/complex64}}([1.0,1.0,2.0,2.0,3.0,3.0]); + > buf = [1.0,1.0,2.0,2.0,4.0,4.0,3.0,3.0,5.0,5.0,6.0,6.0]; + > AP = new {{alias:@stdlib/array/complex64}}(buf); + > ord = 'row-major'; + > uplo = 'lower'; + > trans = 'no-transpose'; + > diag = 'non-unit'; + > {{alias}}.ndarray( ord, uplo, trans, diag, 3, AP, 1, 0, x, 1, 0 ) + [0.0,2.0,0.0,20.0,0.0,62.0] + + See Also + -------- diff --git a/lib/node_modules/@stdlib/blas/base/ctpmv/docs/types/index.d.ts b/lib/node_modules/@stdlib/blas/base/ctpmv/docs/types/index.d.ts new file mode 100644 index 000000000000..bd59dae1b9d1 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ctpmv/docs/types/index.d.ts @@ -0,0 +1,117 @@ +/* +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +// TypeScript Version: 4.1 + +/// + +import { Layout, MatrixTriangle, TransposeOperation, DiagonalType } from '@stdlib/types/blas'; +import { Complex64Array } from '@stdlib/types/array'; + +/** +* Interface describing `ctpmv`. +*/ +interface Routine { + /** + * Performs one of the matrix-vector operations `x = A*x`, or `x = A**T*x`, or `x = A**H*x`, where `x` is an `N` element complex vector and `A` is an `N` by `N` unit, or non-unit, upper or lower triangular complex matrix, supplied in packed form. + * + * @param order - storage layout + * @param uplo - specifies whether `A` is an upper or lower triangular matrix + * @param trans - specifies whether `A` should be transposed, conjugate-transposed, or not transposed + * @param diag - specifies whether `A` has a unit diagonal + * @param N - number of elements along each dimension in the matrix `A` + * @param AP - packed form of a symmetric matrix `A` + * @param x - input vector + * @param strideX - `x` stride length + * @returns `x` + * + * @example + * var Complex64Array = require( '@stdlib/array/complex64' ); + * + * var AP = new Complex64Array( [ 1.0, 1.0, 2.0, 2.0, 4.0, 4.0, 3.0, 3.0, 5.0, 5.0, 6.0, 6.0 ] ); + * var x = new Complex64Array( [ 1.0, 1.0, 2.0, 2.0, 3.0, 3.0 ] ); + * + * ctpmv( 'row-major', 'lower', 'no-transpose', 'non-unit', 3, AP, x, 1 ); + * // x => [ 0.0, 2.0, 0.0, 20.0, 0.0, 62.0 ] + */ + ( order: Layout, uplo: MatrixTriangle, trans: TransposeOperation, diag: DiagonalType, N: number, AP: Complex64Array, x: Complex64Array, strideX: number ): Complex64Array; + + /** + * Performs one of the matrix-vector operations `x = A*x`, or `x = A**T*x`, or `x = A**H*x`, using alternative indexing semantics and where `x` is an `N` element complex vector and `A` is an `N` by `N` unit, or non-unit, upper or lower triangular complex matrix, supplied in packed form. + * + * @param uplo - specifies whether `A` is an upper or lower triangular matrix + * @param trans - specifies whether `A` should be transposed, conjugate-transposed, or not transposed + * @param diag - specifies whether `A` has a unit diagonal + * @param N - number of elements along each dimension in the matrix `A` + * @param AP - packed form of a symmetric matrix `A` + * @param strideAP - `AP` stride length + * @param offsetAP - starting index for `AP` + * @param x - input vector + * @param strideX - `x` stride length + * @param offsetX - starting index for `x` + * @returns `x` + * + * @example + * var Complex64Array = require( '@stdlib/array/complex64' ); + * + * var AP = new Complex64Array( [ 1.0, 1.0, 2.0, 2.0, 4.0, 4.0, 3.0, 3.0, 5.0, 5.0, 6.0, 6.0 ] ); + * var x = new Complex64Array( [ 1.0, 1.0, 2.0, 2.0, 3.0, 3.0 ] ); + * + * ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 3, AP, 1, 0, x, 1, 0 ); + * // x => [ 0.0, 2.0, 0.0, 20.0, 0.0, 62.0 ] + */ + ndarray( order: Layout, uplo: MatrixTriangle, trans: TransposeOperation, diag: DiagonalType, N: number, AP: Complex64Array, strideAP: number, offsetAP: number, x: Complex64Array, strideX: number, offsetX: number ): Complex64Array; +} + +/** +* Performs one of the matrix-vector operations `x = A*x`, or `x = A**T*x`, or `x = A**H*x`, where `x` is an `N` element complex vector and `A` is an `N` by `N` unit, or non-unit, upper or lower triangular complex matrix, supplied in packed form. +* +* @param order - storage layout +* @param uplo - specifies whether `A` is an upper or lower triangular matrix +* @param trans - specifies whether `A` should be transposed, conjugate-transposed, or not transposed +* @param diag - specifies whether `A` has a unit diagonal +* @param N - number of elements along each dimension in the matrix `A` +* @param AP - packed form of a symmetric matrix `A` +* @param x - input vector +* @param strideX - `x` stride length +* @returns `x` +* +* @example +* var Complex64Array = require( '@stdlib/array/complex64' ); +* +* var AP = new Complex64Array( [ 1.0, 1.0, 2.0, 2.0, 4.0, 4.0, 3.0, 3.0, 5.0, 5.0, 6.0, 6.0 ] ); +* var x = new Complex64Array( [ 1.0, 1.0, 2.0, 2.0, 3.0, 3.0 ] ); +* +* ctpmv( 'row-major', 'lower', 'no-transpose', 'non-unit', 3, AP, x, 1 ); +* // x => [ 0.0, 2.0, 0.0, 20.0, 0.0, 62.0 ] +* +* @example +* var Complex64Array = require( '@stdlib/array/complex64' ); +* +* var AP = new Complex64Array( [ 1.0, 1.0, 2.0, 2.0, 4.0, 4.0, 3.0, 3.0, 5.0, 5.0, 6.0, 6.0 ] ); +* var x = new Complex64Array( [ 1.0, 1.0, 2.0, 2.0, 3.0, 3.0 ] ); +* +* ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 3, AP, 1, 0, x, 1, 0 ); +* // x => [ 0.0, 2.0, 0.0, 20.0, 0.0, 62.0 ] +*/ +declare var ctpmv: Routine; + + +// EXPORTS // + +export = ctpmv; diff --git a/lib/node_modules/@stdlib/blas/base/ctpmv/docs/types/test.ts b/lib/node_modules/@stdlib/blas/base/ctpmv/docs/types/test.ts new file mode 100644 index 000000000000..d4af4e7b2152 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ctpmv/docs/types/test.ts @@ -0,0 +1,358 @@ +/* +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +import Complex64Array = require( '@stdlib/array/complex64' ); +import ctpmv = require( './index' ); + + +// TESTS // + +// The function returns a Complex64Array... +{ + const AP = new Complex64Array( 20 ); + const x = new Complex64Array( 10 ); + + ctpmv( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, x, 1 ); // $ExpectType Complex64Array +} + +// The compiler throws an error if the function is provided a first argument which is not a string... +{ + const AP = new Complex64Array( 20 ); + const x = new Complex64Array( 10 ); + + ctpmv( 10, 'lower', 'no-transpose', 'non-unit', 10, AP, x, 1 ); // $ExpectError + ctpmv( true, 'lower', 'no-transpose', 'non-unit', 10, AP, x, 1 ); // $ExpectError + ctpmv( false, 'lower', 'no-transpose', 'non-unit', 10, AP, x, 1 ); // $ExpectError + ctpmv( null, 'lower', 'no-transpose', 'non-unit', 10, AP, x, 1 ); // $ExpectError + ctpmv( undefined, 'lower', 'no-transpose', 'non-unit', 10, AP, x, 1 ); // $ExpectError + ctpmv( [], 'lower', 'no-transpose', 'non-unit', 10, AP, x, 1 ); // $ExpectError + ctpmv( {}, 'lower', 'no-transpose', 'non-unit', 10, AP, x, 1 ); // $ExpectError + ctpmv( ( x: number ): number => x, 'lower', 'no-transpose', 'non-unit', 10, AP, x, 1 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a second argument which is not a string... +{ + const AP = new Complex64Array( 20 ); + const x = new Complex64Array( 10 ); + + ctpmv( 'row-major', 10, 'no-transpose', 'non-unit', 10, AP, x, 1 ); // $ExpectError + ctpmv( 'row-major', true, 'no-transpose', 'non-unit', 10, AP, x, 1 ); // $ExpectError + ctpmv( 'row-major', false, 'no-transpose', 'non-unit', 10, AP, x, 1 ); // $ExpectError + ctpmv( 'row-major', null, 'no-transpose', 'non-unit', 10, AP, x, 1 ); // $ExpectError + ctpmv( 'row-major', undefined, 'no-transpose', 'non-unit', 10, AP, x, 1 ); // $ExpectError + ctpmv( 'row-major', [], 'no-transpose', 'non-unit', 10, AP, x, 1 ); // $ExpectError + ctpmv( 'row-major', {}, 'no-transpose', 'non-unit', 10, AP, x, 1 ); // $ExpectError + ctpmv( 'row-major', ( x: number ): number => x, 'no-transpose', 'non-unit', 10, AP, x, 1 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a third argument which is not a string... +{ + const AP = new Complex64Array( 20 ); + const x = new Complex64Array( 10 ); + + ctpmv( 'row-major', 'lower', 10, 'non-unit', 10, AP, x, 1 ); // $ExpectError + ctpmv( 'row-major', 'lower', true, 'non-unit', 10, AP, x, 1 ); // $ExpectError + ctpmv( 'row-major', 'lower', false, 'non-unit', 10, AP, x, 1 ); // $ExpectError + ctpmv( 'row-major', 'lower', null, 'non-unit', 10, AP, x, 1 ); // $ExpectError + ctpmv( 'row-major', 'lower', undefined, 'non-unit', 10, AP, x, 1 ); // $ExpectError + ctpmv( 'row-major', 'lower', [], 'non-unit', 10, AP, x, 1 ); // $ExpectError + ctpmv( 'row-major', 'lower', {}, 'non-unit', 10, AP, x, 1 ); // $ExpectError + ctpmv( 'row-major', 'lower', ( x: number ): number => x, 'non-unit', 10, AP, x, 1 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a fourth argument which is not a string... +{ + const AP = new Complex64Array( 20 ); + const x = new Complex64Array( 10 ); + + ctpmv( 'row-major', 'lower', 'no-transpose', 10, 10, AP, x, 1 ); // $ExpectError + ctpmv( 'row-major', 'lower', 'no-transpose', true, 10, AP, x, 1 ); // $ExpectError + ctpmv( 'row-major', 'lower', 'no-transpose', false, 10, AP, x, 1 ); // $ExpectError + ctpmv( 'row-major', 'lower', 'no-transpose', null, 10, AP, x, 1 ); // $ExpectError + ctpmv( 'row-major', 'lower', 'no-transpose', undefined, 10, AP, x, 1 ); // $ExpectError + ctpmv( 'row-major', 'lower', 'no-transpose', [], 10, AP, x, 1 ); // $ExpectError + ctpmv( 'row-major', 'lower', 'no-transpose', {}, 10, AP, x, 1 ); // $ExpectError + ctpmv( 'row-major', 'lower', 'no-transpose', ( x: number ): number => x, 10, AP, x, 1 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a fifth argument which is not a number... +{ + const AP = new Complex64Array( 20 ); + const x = new Complex64Array( 10 ); + + ctpmv( 'row-major', 'lower', 'no-transpose', 'non-unit', '10', AP, x, 1 ); // $ExpectError + ctpmv( 'row-major', 'lower', 'no-transpose', 'non-unit', true, AP, x, 1 ); // $ExpectError + ctpmv( 'row-major', 'lower', 'no-transpose', 'non-unit', false, AP, x, 1 ); // $ExpectError + ctpmv( 'row-major', 'lower', 'no-transpose', 'non-unit', null, AP, x, 1 ); // $ExpectError + ctpmv( 'row-major', 'lower', 'no-transpose', 'non-unit', undefined, AP, x, 1 ); // $ExpectError + ctpmv( 'row-major', 'lower', 'no-transpose', 'non-unit', [], AP, x, 1 ); // $ExpectError + ctpmv( 'row-major', 'lower', 'no-transpose', 'non-unit', {}, AP, x, 1 ); // $ExpectError + ctpmv( 'row-major', 'lower', 'no-transpose', 'non-unit', ( x: number ): number => x, AP, x, 1 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a sixth argument which is not a Complex64Array... +{ + const x = new Complex64Array( 10 ); + + ctpmv( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, 10, x, 1 ); // $ExpectError + ctpmv( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, '10', x, 1 ); // $ExpectError + ctpmv( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, true, x, 1 ); // $ExpectError + ctpmv( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, false, x, 1 ); // $ExpectError + ctpmv( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, null, x, 1 ); // $ExpectError + ctpmv( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, undefined, x, 1 ); // $ExpectError + ctpmv( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, [ '1' ], x, 1 ); // $ExpectError + ctpmv( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, {}, x, 1 ); // $ExpectError + ctpmv( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, ( x: number ): number => x, x, 1 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a seventh argument which is not a Complex64Array... +{ + const AP = new Complex64Array( 20 ); + + ctpmv( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, 10, 1 ); // $ExpectError + ctpmv( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, '10', 1 ); // $ExpectError + ctpmv( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, true, 1 ); // $ExpectError + ctpmv( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, false, 1 ); // $ExpectError + ctpmv( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, null, 1 ); // $ExpectError + ctpmv( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, undefined, 1 ); // $ExpectError + ctpmv( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, [ '1' ], 1 ); // $ExpectError + ctpmv( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, {}, 1 ); // $ExpectError + ctpmv( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, ( x: number ): number => x, 1 ); // $ExpectError +} + +// The compiler throws an error if the function is provided an eighth argument which is not a number... +{ + const AP = new Complex64Array( 20 ); + const x = new Complex64Array( 10 ); + + ctpmv( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, x, '10' ); // $ExpectError + ctpmv( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, x, true ); // $ExpectError + ctpmv( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, x, false ); // $ExpectError + ctpmv( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, x, null ); // $ExpectError + ctpmv( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, x, undefined ); // $ExpectError + ctpmv( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, x, [] ); // $ExpectError + ctpmv( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, x, {} ); // $ExpectError + ctpmv( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, x, ( x: number ): number => x ); // $ExpectError +} + +// The compiler throws an error if the function is provided an unsupported number of arguments... +{ + const AP = new Complex64Array( 20 ); + const x = new Complex64Array( 10 ); + + ctpmv(); // $ExpectError + ctpmv( 'row-major' ); // $ExpectError + ctpmv( 'row-major', 'lower' ); // $ExpectError + ctpmv( 'row-major', 'lower', 'no-transpose' ); // $ExpectError + ctpmv( 'row-major', 'lower', 'no-transpose', 'non-unit' ); // $ExpectError + ctpmv( 'row-major', 'lower', 'no-transpose', 'non-unit', 10 ); // $ExpectError + ctpmv( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP ); // $ExpectError + ctpmv( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, x ); // $ExpectError + ctpmv( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, x, 1, 1 ); // $ExpectError +} + +// Attached to main export is an `ndarray` method which returns a Complex64Array... +{ + const AP = new Complex64Array( 20 ); + const x = new Complex64Array( 10 ); + + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, 1, 0, x, 1, 0 ); // $ExpectType Complex64Array +} + +// The compiler throws an error if the function is provided a first argument which is not a string... +{ + const AP = new Complex64Array( 20 ); + const x = new Complex64Array( 10 ); + + ctpmv.ndarray( 10, 'lower', 'no-transpose', 'non-unit', 10, AP, 1, 0, x, 1, 0 ); // $ExpectError + ctpmv.ndarray( true, 'lower', 'no-transpose', 'non-unit', 10, AP, 1, 0, x, 1, 0 ); // $ExpectError + ctpmv.ndarray( false, 'lower', 'no-transpose', 'non-unit', 10, AP, 1, 0, x, 1, 0 ); // $ExpectError + ctpmv.ndarray( null, 'lower', 'no-transpose', 'non-unit', 10, AP, 1, 0, x, 1, 0 ); // $ExpectError + ctpmv.ndarray( undefined, 'lower', 'no-transpose', 'non-unit', 10, AP, 1, 0, x, 1, 0 ); // $ExpectError + ctpmv.ndarray( [], 'lower', 'no-transpose', 'non-unit', 10, AP, 1, 0, x, 1, 0 ); // $ExpectError + ctpmv.ndarray( {}, 'lower', 'no-transpose', 'non-unit', 10, AP, 1, 0, x, 1, 0 ); // $ExpectError + ctpmv.ndarray( ( x: number ): number => x, 'lower', 'no-transpose', 'non-unit', 10, AP, 1, 0, x, 1, 0 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a second argument which is not a string... +{ + const AP = new Complex64Array( 20 ); + const x = new Complex64Array( 10 ); + + ctpmv.ndarray( 'row-major', 10, 'no-transpose', 'non-unit', 10, AP, 1, 0, x, 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', true, 'no-transpose', 'non-unit', 10, AP, 1, 0, x, 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', false, 'no-transpose', 'non-unit', 10, AP, 1, 0, x, 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', null, 'no-transpose', 'non-unit', 10, AP, 1, 0, x, 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', undefined, 'no-transpose', 'non-unit', 10, AP, 1, 0, x, 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', [], 'no-transpose', 'non-unit', 10, AP, 1, 0, x, 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', {}, 'no-transpose', 'non-unit', 10, AP, 1, 0, x, 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', ( x: number ): number => x, 'no-transpose', 'non-unit', 10, AP, 1, 0, x, 1, 0 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a third argument which is not a string... +{ + const AP = new Complex64Array( 20 ); + const x = new Complex64Array( 10 ); + + ctpmv.ndarray( 'row-major', 'lower', 10, 'non-unit', 10, AP, 1, 0, x, 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', true, 'non-unit', 10, AP, 1, 0, x, 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', false, 'non-unit', 10, AP, 1, 0, x, 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', null, 'non-unit', 10, AP, 1, 0, x, 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', undefined, 'non-unit', 10, AP, 1, 0, x, 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', [], 'non-unit', 10, AP, 1, 0, x, 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', {}, 'non-unit', 10, AP, 1, 0, x, 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', ( x: number ): number => x, 'non-unit', 10, AP, 1, 0, x, 1, 0 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a fourth argument which is not a string... +{ + const AP = new Complex64Array( 20 ); + const x = new Complex64Array( 10 ); + + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 10, 10, AP, 1, 0, x, 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', true, 10, AP, 1, 0, x, 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', false, 10, AP, 1, 0, x, 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', null, 10, AP, 1, 0, x, 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', undefined, 10, AP, 1, 0, x, 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', [], 10, AP, 1, 0, x, 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', {}, 10, AP, 1, 0, x, 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', ( x: number ): number => x, 10, AP, 1, 0, x, 1, 0 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a fifth argument which is not a number... +{ + const AP = new Complex64Array( 20 ); + const x = new Complex64Array( 10 ); + + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', '10', AP, 1, 0, x, 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', true, AP, 1, 0, x, 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', false, AP, 1, 0, x, 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', null, AP, 1, 0, x, 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', undefined, AP, 1, 0, x, 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', [], AP, 1, 0, x, 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', {}, AP, 1, 0, x, 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', ( x: number ): number => x, AP, 1, 0, x, 1, 0 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a sixth argument which is not a Complex64Array... +{ + const x = new Complex64Array( 10 ); + + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, 10, 1, 0, x, 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, '10', 1, 0, x, 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, true, 1, 0, x, 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, false, 1, 0, x, 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, null, 1, 0, x, 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, undefined, 1, 0, x, 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, [ '1' ], 1, 0, x, 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, {}, 1, 0, x, 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, ( x: number ): number => x, 1, 0, x, 1, 0 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a seventh argument which is not a number... +{ + const AP = new Complex64Array( 20 ); + const x = new Complex64Array( 10 ); + + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, '10', 0, x, 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, true, 0, x, 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, false, 0, x, 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, null, 0, x, 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, undefined, 0, x, 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, [], 0, x, 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, {}, 0, x, 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, ( x: number ): number => x, 0, x, 1, 0 ); // $ExpectError +} + +// The compiler throws an error if the function is provided an eighth argument which is not a number... +{ + const AP = new Complex64Array( 20 ); + const x = new Complex64Array( 10 ); + + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, 1, '10', x, 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, 1, true, x, 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, 1, false, x, 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, 1, null, x, 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, 1, undefined, x, 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, 1, [], x, 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, 1, {}, x, 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, 1, ( x: number ): number => x, x, 1, 0 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a ninth argument which is not a Complex64Array... +{ + const AP = new Complex64Array( 20 ); + + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, 1, 0, 10, 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, 1, 0, '10', 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, 1, 0, true, 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, 1, 0, false, 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, 1, 0, null, 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, 1, 0, undefined, 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, 1, 0, [ '1' ], 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, 1, 0, {}, 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, 1, 0, ( x: number ): number => x, 1, 0 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a tenth argument which is not a number... +{ + const AP = new Complex64Array( 20 ); + const x = new Complex64Array( 10 ); + + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, 1, 0, x, '10', 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, 1, 0, x, true, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, 1, 0, x, false, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, 1, 0, x, null, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, 1, 0, x, undefined, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, 1, 0, x, [], 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, 1, 0, x, {}, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, 1, 0, x, ( x: number ): number => x, 0 ); // $ExpectError +} + +// The compiler throws an error if the function is provided an eleventh argument which is not a number... +{ + const AP = new Complex64Array( 20 ); + const x = new Complex64Array( 10 ); + + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, 1, 0, x, 1, '10' ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, 1, 0, x, 1, true ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, 1, 0, x, 1, false ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, 1, 0, x, 1, null ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, 1, 0, x, 1, undefined ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, 1, 0, x, 1, [] ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, 1, 0, x, 1, {} ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, 1, 0, x, 1, ( x: number ): number => x ); // $ExpectError +} + +// The compiler throws an error if the function is provided an unsupported number of arguments... +{ + const AP = new Complex64Array( 20 ); + const x = new Complex64Array( 10 ); + + ctpmv.ndarray(); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower' ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose' ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit' ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, 1 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, 1, 0 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, 1, 0, x ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, 1, 0, x, 1 ); // $ExpectError + ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 10, AP, 1, 0, x, 1, 0, 10 ); // $ExpectError +} diff --git a/lib/node_modules/@stdlib/blas/base/ctpmv/examples/index.js b/lib/node_modules/@stdlib/blas/base/ctpmv/examples/index.js new file mode 100644 index 000000000000..34e17c1c87cb --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ctpmv/examples/index.js @@ -0,0 +1,47 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +var discreteUniform = require( '@stdlib/random/base/discrete-uniform' ); +var filledarrayBy = require( '@stdlib/array/filled-by' ); +var Complex64 = require( '@stdlib/complex/float32/ctor' ); +var logEach = require( '@stdlib/console/log-each' ); +var ctpmv = require( './../lib' ); + +function rand() { + return new Complex64( discreteUniform( 0, 10 ), discreteUniform( -5, 5 ) ); +} + +var N = 3; + +var x = filledarrayBy( N, 'complex64', rand ); +console.log( x.get( 0 ).toString() ); + +var AP = filledarrayBy( ( N * ( N + 1 ) / 2 ), 'complex64', rand ); +console.log( AP.get( 0 ).toString() ); + +ctpmv( 'column-major', 'lower', 'no-transpose', 'unit', N, AP, x, 1 ); + +// Print the results: +logEach( '(%s)', x ); + +ctpmv.ndarray( 'row-major', 'upper', 'transpose', 'non-unit', N, AP, 1, 0, x, 1, 0 ); + +// Print the results: +logEach( '(%s)', x ); diff --git a/lib/node_modules/@stdlib/blas/base/ctpmv/lib/base.js b/lib/node_modules/@stdlib/blas/base/ctpmv/lib/base.js new file mode 100644 index 000000000000..1b882e0179ba --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ctpmv/lib/base.js @@ -0,0 +1,244 @@ +/* +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var isRowMajor = require( '@stdlib/ndarray/base/assert/is-row-major-string' ); +var f32 = require( '@stdlib/number/float64/base/to-float32' ); +var reinterpret = require( '@stdlib/strided/base/reinterpret-complex64' ); +var muladd = require( '@stdlib/complex/float32/base/mul-add' ).assign; + + +// MAIN // + +/** +* Performs one of the matrix-vector operations `x = A*x`, or `x = A**T*x`, or `x = A**H*x`, where `x` is an `N` element complex vector and `A` is an `N` by `N` unit, or non-unit, upper or lower triangular complex matrix, supplied in packed form. +* +* @private +* @param {string} order - storage layout +* @param {string} uplo - specifies whether `A` is an upper or lower triangular matrix +* @param {string} trans - specifies whether `A` should be transposed, conjugate-transposed, or not transposed +* @param {string} diag - specifies whether `A` has a unit diagonal +* @param {NonNegativeInteger} N - number of elements along each dimension of `A` +* @param {Complex64Array} AP - packed form of a symmetric matrix `A` +* @param {integer} strideAP - `AP` stride length +* @param {NonNegativeInteger} offsetAP - starting index for `AP` +* @param {Complex64Array} x - input vector +* @param {integer} strideX - `x` stride length +* @param {NonNegativeInteger} offsetX - starting index for `x` +* @returns {Complex64Array} `x` +* +* @example +* var Complex64Array = require( '@stdlib/array/complex64' ); +* +* var AP = new Complex64Array( [ 1.0, 1.0, 2.0, 2.0, 4.0, 4.0, 3.0, 3.0, 5.0, 5.0, 6.0, 6.0 ] ); +* var x = new Complex64Array( [ 1.0, 1.0, 2.0, 2.0, 3.0, 3.0 ] ); +* +* ctpmv( 'row-major', 'lower', 'no-transpose', 'non-unit', 3, AP, 1, 0, x, 1, 0 ); +* // x => [ 0.0, 2.0, 0.0, 20.0, 0.0, 62.0 ] +*/ +function ctpmv( order, uplo, trans, diag, N, AP, strideAP, offsetAP, x, strideX, offsetX ) { // eslint-disable-line max-params, max-len + var nonunit; + var viewAP; + var viewX; + var retmp; + var imtmp; + var isrm; + var sign; + var rex; + var imx; + var rea; + var ima; + var iap; + var ix0; + var ix1; + var sap; + var kk; + var ox; + var sx; + var i1; + var i0; + + // Layout + isrm = isRowMajor( order ); + + // Diagonal + nonunit = ( diag === 'non-unit' ); + + // Reinterpret arrays to raw numeric views + viewAP = reinterpret( AP, 0 ); + viewX = reinterpret( x, 0 ); + + // Adjust sign to account for conjugation + if ( trans === 'conjugate-transpose' ) { + sign = -1; + } else { + sign = 1; + } + + // Vector indexing base + ox = offsetX * 2; + kk = offsetAP * 2; + + // Vector strides + sx = strideX * 2; + sap = strideAP * 2; + + if ( + ( !isrm && uplo === 'upper' && trans === 'no-transpose' ) || + ( isrm && uplo === 'lower' && trans !== 'no-transpose' ) + ) { + ix1 = ox; + for ( i1 = 0; i1 < N; i1++ ) { + retmp = viewX[ ix1 ]; + imtmp = viewX[ ix1 + 1 ]; + iap = kk; + ix0 = ox; + for ( i0 = 0; i0 < i1; i0++ ) { + rea = viewAP[ iap ]; + ima = sign * viewAP[ iap + 1 ]; + rex = viewX[ ix0 ]; + imx = viewX[ ix0 + 1 ]; + muladd( rea, ima, retmp, imtmp, rex, imx, viewX, 1, ix0 ); + iap += sap; + ix0 += sx; + } + if ( nonunit ) { + rea = viewAP[ iap ]; + ima = sign * viewAP[ iap + 1 ]; + rex = viewX[ ix0 ]; + imx = viewX[ ix0 + 1 ]; + viewX[ ix0 ] = f32( ( rea * rex ) - ( ima * imx ) ); + viewX[ ix0 + 1 ] = f32( ( rea * imx ) + ( ima * rex ) ); + } + ix1 += sx; + kk += ( i1 + 1 ) * sap; + } + return x; + } + if ( + ( !isrm && uplo === 'lower' && trans === 'no-transpose' ) || + ( isrm && uplo === 'upper' && trans !== 'no-transpose' ) + ) { + kk += ( ( N * ( N + 1 ) / 2 ) - 1 ) * sap; + ox += ( N - 1 ) * sx; + ix1 = ox; + for ( i1 = N - 1; i1 >= 0; i1-- ) { + retmp = viewX[ ix1 ]; + imtmp = viewX[ ix1 + 1 ]; + iap = kk; + ix0 = ox; + for ( i0 = N - 1; i0 > i1; i0-- ) { + rea = viewAP[ iap ]; + ima = sign * viewAP[ iap + 1 ]; + rex = viewX[ ix0 ]; + imx = viewX[ ix0 + 1 ]; + muladd( rea, ima, retmp, imtmp, rex, imx, viewX, 1, ix0 ); + iap -= sap; + ix0 -= sx; + } + if ( nonunit ) { + rea = viewAP[ iap ]; + ima = sign * viewAP[ iap + 1 ]; + rex = viewX[ ix0 ]; + imx = viewX[ ix0 + 1 ]; + viewX[ ix0 ] = f32( ( rea * rex ) - ( ima * imx ) ); + viewX[ ix0 + 1 ] = f32( ( rea * imx ) + ( ima * rex ) ); + } + ix1 -= sx; + kk -= ( N - i1 ) * sap; + } + return x; + } + if ( + ( !isrm && uplo === 'upper' && trans !== 'no-transpose' ) || + ( isrm && uplo === 'lower' && trans === 'no-transpose' ) + ) { + kk += ( ( N * ( N + 1 ) / 2 ) - 1 ) * sap; + ix1 = ox + ( ( N - 1 ) * sx ); + for ( i1 = N - 1; i1 >= 0; i1-- ) { + rex = viewX[ ix1 ]; + imx = viewX[ ix1 + 1 ]; + iap = kk; + ix0 = ix1; + if ( nonunit ) { + rea = viewAP[ iap ]; + ima = sign * viewAP[ iap + 1 ]; + retmp = f32( ( rea * rex ) - ( ima * imx ) ); + imtmp = f32( ( rea * imx ) + ( ima * rex ) ); + } else { + retmp = rex; + imtmp = imx; + } + for ( i0 = i1 - 1; i0 >= 0; i0-- ) { + ix0 -= sx; + iap -= sap; + rea = viewAP[ iap ]; + ima = sign * viewAP[ iap + 1 ]; + rex = viewX[ ix0 ]; + imx = viewX[ ix0 + 1 ]; + retmp += f32( ( rea * rex ) - ( ima * imx ) ); + imtmp += f32( ( rea * imx ) + ( ima * rex ) ); + } + viewX[ ix1 ] = retmp; + viewX[ ix1 + 1 ] = imtmp; + ix1 -= sx; + kk -= ( i1 + 1 ) * sap; + } + return x; + } + // ( !isrm && uplo === 'lower' && trans !== 'no-transpose' ) || ( isrm && uplo === 'upper' && trans === 'no-transpose' ) + ix1 = ox; + for ( i1 = 0; i1 < N; i1++ ) { + rex = viewX[ ix1 ]; + imx = viewX[ ix1 + 1 ]; + iap = kk; + ix0 = ix1; + if ( nonunit ) { + rea = viewAP[ iap ]; + ima = sign * viewAP[ iap + 1 ]; + retmp = f32( ( rea * rex ) - ( ima * imx ) ); + imtmp = f32( ( rea * imx ) + ( ima * rex ) ); + } else { + retmp = rex; + imtmp = imx; + } + for ( i0 = i1+1; i0 < N; i0++ ) { + ix0 += sx; + iap += sap; + rea = viewAP[ iap ]; + ima = sign * viewAP[ iap + 1 ]; + rex = viewX[ ix0 ]; + imx = viewX[ ix0 + 1 ]; + retmp += f32( ( rea * rex ) - ( ima * imx ) ); + imtmp += f32( ( rea * imx ) + ( ima * rex ) ); + } + viewX[ ix1 ] = retmp; + viewX[ ix1 + 1 ] = imtmp; + ix1 += sx; + kk += ( N - i1 ) * sap; + } + return x; +} + + +// EXPORTS // + +module.exports = ctpmv; diff --git a/lib/node_modules/@stdlib/blas/base/ctpmv/lib/ctpmv.js b/lib/node_modules/@stdlib/blas/base/ctpmv/lib/ctpmv.js new file mode 100644 index 000000000000..46d02a8dbd0d --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ctpmv/lib/ctpmv.js @@ -0,0 +1,93 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var isLayout = require( '@stdlib/blas/base/assert/is-layout' ); +var isMatrixTriangle = require( '@stdlib/blas/base/assert/is-matrix-triangle' ); +var isTransposeOperation = require( '@stdlib/blas/base/assert/is-transpose-operation' ); +var isDiagonal = require( '@stdlib/blas/base/assert/is-diagonal-type' ); +var stride2offset = require( '@stdlib/strided/base/stride2offset' ); +var format = require( '@stdlib/string/format' ); +var base = require( './base.js' ); + + +// MAIN // + +/** +* Performs one of the matrix-vector operations `x = A*x`, or `x = A**T*x`, or `x = A**H*x`, where `x` is an `N` element complex vector and `A` is an `N` by `N` unit, or non-unit, upper or lower triangular complex matrix, supplied in packed form. +* +* @param {string} order - storage layout +* @param {string} uplo - specifies whether `A` is an upper or lower triangular matrix +* @param {string} trans - specifies whether `A` should be transposed, conjugate-transposed, or not transposed +* @param {string} diag - specifies whether `A` has a unit diagonal +* @param {NonNegativeInteger} N - number of elements along each dimension of `A` +* @param {Complex64Array} AP - packed form of a symmetric matrix `A` +* @param {Complex64Array} x - input vector +* @param {integer} strideX - `x` stride length +* @throws {TypeError} first argument must be a valid order +* @throws {TypeError} second argument must specify whether a lower or upper triangular matrix is supplied +* @throws {TypeError} third argument must be a valid transpose operation +* @throws {TypeError} fourth argument must be a valid diagonal type +* @throws {RangeError} fifth argument must be a nonnegative integer +* @throws {RangeError} eighth argument must be non-zero +* @returns {Complex64Array} `x` +* +* @example +* var Complex64Array = require( '@stdlib/array/complex64' ); +* +* var AP = new Complex64Array( [ 1.0, 1.0, 2.0, 2.0, 4.0, 4.0, 3.0, 3.0, 5.0, 5.0, 6.0, 6.0 ] ); +* var x = new Complex64Array( [ 1.0, 1.0, 2.0, 2.0, 3.0, 3.0 ] ); +* +* ctpmv( 'row-major', 'lower', 'no-transpose', 'non-unit', 3, AP, x, 1 ); +* // x => [ 0.0, 2.0, 0.0, 20.0, 0.0, 62.0 ] +*/ +function ctpmv( order, uplo, trans, diag, N, AP, x, strideX ) { + var ox; + + if ( !isLayout( order ) ) { + throw new TypeError( format( 'invalid argument. First argument must be a valid order. Value: `%s`.', order ) ); + } + if ( !isMatrixTriangle( uplo ) ) { + throw new TypeError( format( 'invalid argument. Second argument must specify whether the lower or upper triangular matrix is supplied. Value: `%s`.', uplo ) ); + } + if ( !isTransposeOperation( trans ) ) { + throw new TypeError( format( 'invalid argument. Third argument must be a valid transpose operation. Value: `%s`.', trans ) ); + } + if ( !isDiagonal( diag ) ) { + throw new TypeError( format( 'invalid argument. Fourth argument must be a valid diagonal type. Value: `%s`.', diag ) ); + } + if ( N < 0 ) { + throw new RangeError( format( 'invalid argument. Fifth argument must be a nonnegative integer. Value: `%d`.', N ) ); + } + if ( strideX === 0 ) { + throw new RangeError( format( 'invalid argument. Eighth argument must be non-zero. Value: `%d`.', strideX ) ); + } + if ( N === 0 ) { + return x; + } + ox = stride2offset( N, strideX ); + return base( order, uplo, trans, diag, N, AP, 1, 0, x, strideX, ox ); +} + + +// EXPORTS // + +module.exports = ctpmv; diff --git a/lib/node_modules/@stdlib/blas/base/ctpmv/lib/index.js b/lib/node_modules/@stdlib/blas/base/ctpmv/lib/index.js new file mode 100644 index 000000000000..c8e7fcd84a9c --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ctpmv/lib/index.js @@ -0,0 +1,70 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +/** +* BLAS level 2 routine to performs one of the matrix-vector operations `x = A*x`, or `x = A**T*x`, or `x = A**H*x`, where `x` is an `N` element complex vector and `A` is an `N` by `N` unit, or non-unit, upper or lower triangular complex matrix, supplied in packed form. +* +* @module @stdlib/blas/base/ctpmv +* +* @example +* var Complex64Array = require( '@stdlib/array/complex64' ); +* var ctpmv = require( '@stdlib/blas/base/ctpmv' ); +* +* var AP = new Complex64Array( [ 1.0, 1.0, 2.0, 2.0, 4.0, 4.0, 3.0, 3.0, 5.0, 5.0, 6.0, 6.0 ] ); +* var x = new Complex64Array( [ 1.0, 1.0, 2.0, 2.0, 3.0, 3.0 ] ); +* +* ctpmv( 'row-major', 'lower', 'no-transpose', 'non-unit', 3, AP, x, 1 ); +* // x => [ 0.0, 2.0, 0.0, 20.0, 0.0, 62.0 ] +* +* @example +* var Complex64Array = require( '@stdlib/array/complex64' ); +* var ctpmv = require( '@stdlib/blas/base/ctpmv' ); +* +* var AP = new Complex64Array( [ 1.0, 1.0, 2.0, 2.0, 4.0, 4.0, 3.0, 3.0, 5.0, 5.0, 6.0, 6.0 ] ); +* var x = new Complex64Array( [ 1.0, 1.0, 2.0, 2.0, 3.0, 3.0 ] ); +* +* ctpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 3, AP, 1, 0, x, 1, 0 ); +* // x => [ 0.0, 2.0, 0.0, 20.0, 0.0, 62.0 ] +*/ + +// 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 ctpmv; +var tmp = tryRequire( join( __dirname, './native.js' ) ); +if ( isError( tmp ) ) { + ctpmv = main; +} else { + ctpmv = tmp; +} + + +// EXPORTS // + +module.exports = ctpmv; + +// exports: { "ndarray": "ctpmv.ndarray" } diff --git a/lib/node_modules/@stdlib/blas/base/ctpmv/lib/main.js b/lib/node_modules/@stdlib/blas/base/ctpmv/lib/main.js new file mode 100644 index 000000000000..33f57e43d58d --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ctpmv/lib/main.js @@ -0,0 +1,35 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var setReadOnly = require( '@stdlib/utils/define-nonenumerable-read-only-property' ); +var ctpmv = require( './ctpmv.js' ); +var ndarray = require( './ndarray.js' ); + + +// MAIN // + +setReadOnly( ctpmv, 'ndarray', ndarray ); + + +// EXPORTS // + +module.exports = ctpmv; diff --git a/lib/node_modules/@stdlib/blas/base/ctpmv/lib/ndarray.js b/lib/node_modules/@stdlib/blas/base/ctpmv/lib/ndarray.js new file mode 100644 index 000000000000..c47bbca57308 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ctpmv/lib/ndarray.js @@ -0,0 +1,96 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var isLayout = require( '@stdlib/blas/base/assert/is-layout' ); +var isMatrixTriangle = require( '@stdlib/blas/base/assert/is-matrix-triangle' ); +var isTransposeOperation = require( '@stdlib/blas/base/assert/is-transpose-operation' ); +var isDiagonal = require( '@stdlib/blas/base/assert/is-diagonal-type' ); +var format = require( '@stdlib/string/format' ); +var base = require( './base.js' ); + + +// MAIN // + +/** +* Performs one of the matrix-vector operations `x = A*x`, or `x = A**T*x`, or `x = A**H*x`, where `x` is an `N` element complex vector and `A` is an `N` by `N` unit, or non-unit, upper or lower triangular complex matrix, supplied in packed form. +* +* @param {string} order - storage layout +* @param {string} uplo - specifies whether `A` is an upper or lower triangular matrix +* @param {string} trans - specifies whether `A` should be transposed, conjugate-transposed, or not transposed +* @param {string} diag - specifies whether `A` has a unit diagonal +* @param {NonNegativeInteger} N - number of elements along each dimension of `A` +* @param {Complex64Array} AP - packed form of a symmetric matrix `A` +* @param {integer} strideAP - `AP` stride length +* @param {NonNegativeInteger} offsetAP - starting index for `AP` +* @param {Complex64Array} x - input vector +* @param {integer} strideX - `x` stride length +* @param {NonNegativeInteger} offsetX - starting index for `x` +* @throws {TypeError} first argument must be a valid order +* @throws {TypeError} second argument must specify whether a lower or upper triangular matrix is supplied +* @throws {TypeError} third argument must be a valid transpose operation +* @throws {TypeError} fourth argument must be a valid diagonal type +* @throws {RangeError} fifth argument must be a nonnegative integer +* @throws {RangeError} seventh argument must be non-zero +* @throws {RangeError} tenth argument must be non-zero +* @returns {Complex64Array} `x` +* +* @example +* var Complex64Array = require( '@stdlib/array/complex64' ); +* +* var AP = new Complex64Array( [ 1.0, 1.0, 2.0, 2.0, 4.0, 4.0, 3.0, 3.0, 5.0, 5.0, 6.0, 6.0 ] ); +* var x = new Complex64Array( [ 1.0, 1.0, 2.0, 2.0, 3.0, 3.0 ] ); +* +* ctpmv( 'row-major', 'lower', 'no-transpose', 'non-unit', 3, AP, 1, 0, x, 1, 0 ); +* // x => [ 0.0, 2.0, 0.0, 20.0, 0.0, 62.0 ] +*/ +function ctpmv( order, uplo, trans, diag, N, AP, strideAP, offsetAP, x, strideX, offsetX ) { // eslint-disable-line max-params, max-len + if ( !isLayout( order ) ) { + throw new TypeError( format( 'invalid argument. First argument must be a valid order. Value: `%s`.', order ) ); + } + if ( !isMatrixTriangle( uplo ) ) { + throw new TypeError( format( 'invalid argument. Second argument must specify whether the lower or upper triangular matrix is supplied. Value: `%s`.', uplo ) ); + } + if ( !isTransposeOperation( trans ) ) { + throw new TypeError( format( 'invalid argument. Third argument must be a valid transpose operation. Value: `%s`.', trans ) ); + } + if ( !isDiagonal( diag ) ) { + throw new TypeError( format( 'invalid argument. Fourth argument must be a valid diagonal type. Value: `%s`.', diag ) ); + } + if ( N < 0 ) { + throw new RangeError( format( 'invalid argument. Fifth argument must be a nonnegative integer. Value: `%d`.', N ) ); + } + if ( strideAP === 0 ) { + throw new RangeError( format( 'invalid argument. Seventh argument must be non-zero. Value: `%d`.', strideAP ) ); + } + if ( strideX === 0 ) { + throw new RangeError( format( 'invalid argument. Tenth argument must be non-zero. Value: `%d`.', strideX ) ); + } + if ( N === 0 ) { + return x; + } + return base( order, uplo, trans, diag, N, AP, strideAP, offsetAP, x, strideX, offsetX ); // eslint-disable-line max-len +} + + +// EXPORTS // + +module.exports = ctpmv; diff --git a/lib/node_modules/@stdlib/blas/base/ctpmv/package.json b/lib/node_modules/@stdlib/blas/base/ctpmv/package.json new file mode 100644 index 000000000000..8da7a47850e2 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ctpmv/package.json @@ -0,0 +1,74 @@ +{ + "name": "@stdlib/blas/base/ctpmv", + "version": "0.0.0", + "description": "Performs one of the matrix-vector operations `x = A*x`, or `x = A**T*x`, or `x = A**H*x`, where `x` is an `N` element vector and `A` is an `N` by `N` unit, or non-unit, upper or lower triangular matrix, supplied in packed form.", + "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", + "browser": "./lib/main.js", + "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", + "blas", + "level 2", + "ctpmv", + "hermitian", + "linear", + "algebra", + "subroutines", + "array", + "ndarray", + "complex", + "complex64", + "complex64array", + "float", + "float32", + "single", + "float32array" + ] +} diff --git a/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/column_major_complex_access_pattern.json b/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/column_major_complex_access_pattern.json new file mode 100644 index 000000000000..d4c1cbcd3d8c --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/column_major_complex_access_pattern.json @@ -0,0 +1,19 @@ +{ + "order": "column-major", + "uplo": "upper", + "trans": "no-transpose", + "diag": "non-unit", + "N": 3, + "strideAP": -3, + "offsetAP": 15, + "AP": [ 6.0, 6.0, 999.0, 999.0, 999.0, 999.0, 5.0, 5.0, 999.0, 999.0, 999.0, 999.0, 3.0, 3.0, 999.0, 999.0, 999.0, 999.0, 4.0, 4.0, 999.0, 999.0, 999.0, 999.0, 2.0, 2.0, 999.0, 999.0, 999.0, 999.0, 1.0, 1.0 ], + "A_mat": [ + [ 1.0, 1.0, 2.0, 2.0, 3.0, 3.0 ], + [ 0.0, 0.0, 4.0, 4.0, 5.0, 5.0 ], + [ 0.0, 0.0, 0.0, 0.0, 6.0, 6.0 ] + ], + "x": [ 3.0, 3.0, 2.0, 2.0, 1.0, 1.0 ], + "strideX": -1, + "offsetX": 2, + "x_out": [ 0.0, 36.0, 0.0, 46.0, 0.0, 28.0 ] +} diff --git a/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/column_major_l_ct_nu.json b/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/column_major_l_ct_nu.json new file mode 100644 index 000000000000..c4e31060015f --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/column_major_l_ct_nu.json @@ -0,0 +1,19 @@ +{ + "order": "column-major", + "uplo": "lower", + "trans": "conjugate-transpose", + "diag": "non-unit", + "N": 3, + "strideAP": 1, + "offsetAP": 0, + "AP": [ 1.0, 1.0, 2.0, 2.0, 3.0, 3.0, 4.0, 4.0, 5.0, 5.0, 6.0, 6.0 ], + "A_mat": [ + [ 1.0, 1.0, 0.0, 0.0, 0.0, 0.0 ], + [ 2.0, 2.0, 4.0, 4.0, 0.0, 0.0 ], + [ 3.0, 3.0, 5.0, 5.0, 6.0, 6.0 ] + ], + "x": [ 1.0, 1.0, 2.0, 2.0, 3.0, 3.0 ], + "strideX": 1, + "offsetX": 0, + "x_out": [ 28.0, 0.0, 46.0, 0.0, 36.0, 0.0 ] +} diff --git a/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/column_major_l_nt_nu.json b/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/column_major_l_nt_nu.json new file mode 100644 index 000000000000..27e45c2cf1b3 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/column_major_l_nt_nu.json @@ -0,0 +1,19 @@ +{ + "order": "column-major", + "uplo": "lower", + "trans": "no-transpose", + "diag": "non-unit", + "N": 3, + "strideAP": 1, + "offsetAP": 0, + "AP": [ 1.0, 1.0, 2.0, 2.0, 3.0, 3.0, 4.0, 4.0, 5.0, 5.0, 6.0, 6.0 ], + "A_mat": [ + [ 1.0, 1.0, 0.0, 0.0, 0.0, 0.0 ], + [ 2.0, 2.0, 4.0, 4.0, 0.0, 0.0 ], + [ 3.0, 3.0, 5.0, 5.0, 6.0, 6.0 ] + ], + "x": [ 1.0, 1.0, 2.0, 2.0, 3.0, 3.0 ], + "strideX": 1, + "offsetX": 0, + "x_out": [ 0.0, 2.0, 0.0, 20.0, 0.0, 62.0 ] +} diff --git a/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/column_major_l_nt_u.json b/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/column_major_l_nt_u.json new file mode 100644 index 000000000000..d493e507d55b --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/column_major_l_nt_u.json @@ -0,0 +1,19 @@ +{ + "order": "column-major", + "uplo": "lower", + "trans": "no-transpose", + "diag": "unit", + "N": 3, + "strideAP": 1, + "offsetAP": 0, + "AP": [ 1.0, 1.0, 2.0, 2.0, 3.0, 3.0, 4.0, 4.0, 5.0, 5.0, 6.0, 6.0 ], + "A_mat": [ + [ 1.0, 1.0, 0.0, 0.0, 0.0, 0.0 ], + [ 2.0, 2.0, 4.0, 4.0, 0.0, 0.0 ], + [ 3.0, 3.0, 5.0, 5.0, 6.0, 6.0 ] + ], + "x": [ 1.0, 1.0, 2.0, 2.0, 3.0, 3.0 ], + "strideX": 1, + "offsetX": 0, + "x_out": [ 1.0, 1.0, 2.0, 6.0, 3.0, 29.0 ] +} diff --git a/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/column_major_l_t_nu.json b/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/column_major_l_t_nu.json new file mode 100644 index 000000000000..933781b56baa --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/column_major_l_t_nu.json @@ -0,0 +1,19 @@ +{ + "order": "column-major", + "uplo": "lower", + "trans": "transpose", + "diag": "non-unit", + "N": 3, + "strideAP": 1, + "offsetAP": 0, + "AP": [ 1.0, 1.0, 2.0, 2.0, 3.0, 3.0, 4.0, 4.0, 5.0, 5.0, 6.0, 6.0 ], + "A_mat": [ + [ 1.0, 1.0, 0.0, 0.0, 0.0, 0.0 ], + [ 2.0, 2.0, 4.0, 4.0, 0.0, 0.0 ], + [ 3.0, 3.0, 5.0, 5.0, 6.0, 6.0 ] + ], + "x": [ 1.0, 1.0, 2.0, 2.0, 3.0, 3.0 ], + "strideX": 1, + "offsetX": 0, + "x_out": [ 0.0, 28.0, 0.0, 46.0, 0.0, 36.0 ] +} diff --git a/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/column_major_l_t_u.json b/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/column_major_l_t_u.json new file mode 100644 index 000000000000..149caab7565b --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/column_major_l_t_u.json @@ -0,0 +1,19 @@ +{ + "order": "column-major", + "uplo": "lower", + "trans": "transpose", + "diag": "unit", + "N": 3, + "strideAP": 1, + "offsetAP": 0, + "AP": [ 1.0, 1.0, 2.0, 2.0, 3.0, 3.0, 4.0, 4.0, 5.0, 5.0, 6.0, 6.0 ], + "A_mat": [ + [ 1.0, 1.0, 0.0, 0.0, 0.0, 0.0 ], + [ 2.0, 2.0, 4.0, 4.0, 0.0, 0.0 ], + [ 3.0, 3.0, 5.0, 5.0, 6.0, 6.0 ] + ], + "x": [ 1.0, 1.0, 2.0, 2.0, 3.0, 3.0 ], + "strideX": 1, + "offsetX": 0, + "x_out": [ 1.0, 27.0, 2.0, 32.0, 3.0, 3.0 ] +} diff --git a/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/column_major_oap.json b/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/column_major_oap.json new file mode 100644 index 000000000000..9cabf142230e --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/column_major_oap.json @@ -0,0 +1,19 @@ +{ + "order": "column-major", + "uplo": "lower", + "trans": "no-transpose", + "diag": "non-unit", + "N": 3, + "strideAP": 1, + "offsetAP": 3, + "AP": [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 2.0, 2.0, 3.0, 3.0, 4.0, 4.0, 5.0, 5.0, 6.0, 6.0 ], + "A_mat": [ + [ 1.0, 1.0, 0.0, 0.0, 0.0, 0.0 ], + [ 2.0, 2.0, 4.0, 4.0, 0.0, 0.0 ], + [ 3.0, 3.0, 5.0, 5.0, 6.0, 6.0 ] + ], + "x": [ 1.0, 1.0, 2.0, 2.0, 3.0, 3.0 ], + "strideX": 1, + "offsetX": 0, + "x_out": [ 0.0, 2.0, 0.0, 20.0, 0.0, 62.0 ] +} diff --git a/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/column_major_ox.json b/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/column_major_ox.json new file mode 100644 index 000000000000..1e564bc553f8 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/column_major_ox.json @@ -0,0 +1,19 @@ +{ + "order": "column-major", + "uplo": "lower", + "trans": "no-transpose", + "diag": "non-unit", + "N": 3, + "strideAP": 1, + "offsetAP": 0, + "AP": [ 1.0, 1.0, 2.0, 2.0, 3.0, 3.0, 4.0, 4.0, 5.0, 5.0, 6.0, 6.0 ], + "A_mat": [ + [ 1.0, 1.0, 0.0, 0.0, 0.0, 0.0 ], + [ 2.0, 2.0, 4.0, 4.0, 0.0, 0.0 ], + [ 3.0, 3.0, 5.0, 5.0, 6.0, 6.0 ] + ], + "x": [ 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 2.0, 2.0, 3.0, 3.0 ], + "strideX": 1, + "offsetX": 2, + "x_out": [ 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 20.0, 0.0, 62.0 ] +} diff --git a/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/column_major_sap.json b/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/column_major_sap.json new file mode 100644 index 000000000000..8a24638c4a2f --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/column_major_sap.json @@ -0,0 +1,19 @@ +{ + "order": "column-major", + "uplo": "lower", + "trans": "no-transpose", + "diag": "non-unit", + "N": 3, + "strideAP": 4, + "offsetAP": 0, + "AP": [ 1.0, 1.0, 999.0, 999.0, 999.0, 999.0, 999.0, 999.0, 2.0, 2.0, 999.0, 999.0, 999.0, 999.0, 999.0, 999.0, 3.0, 3.0, 999.0, 999.0, 999.0, 999.0, 999.0, 999.0, 4.0, 4.0, 999.0, 999.0, 999.0, 999.0, 999.0, 999.0, 5.0, 5.0, 999.0, 999.0, 999.0, 999.0, 999.0, 999.0, 6.0, 6.0 ], + "A_mat": [ + [ 1.0, 1.0, 0.0, 0.0, 0.0, 0.0 ], + [ 2.0, 2.0, 4.0, 4.0, 0.0, 0.0 ], + [ 3.0, 3.0, 5.0, 5.0, 6.0, 6.0 ] + ], + "x": [ 1.0, 1.0, 2.0, 2.0, 3.0, 3.0 ], + "strideX": 1, + "offsetX": 0, + "x_out": [ 0.0, 2.0, 0.0, 20.0, 0.0, 62.0 ] +} diff --git a/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/column_major_sapn.json b/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/column_major_sapn.json new file mode 100644 index 000000000000..484f0472da20 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/column_major_sapn.json @@ -0,0 +1,19 @@ +{ + "order": "column-major", + "uplo": "lower", + "trans": "no-transpose", + "diag": "non-unit", + "N": 3, + "strideAP": -5, + "offsetAP": 25, + "AP": [ 6.0, 6.0, 999.0, 999.0, 999.0, 999.0, 999.0, 999.0, 999.0, 999.0, 5.0, 5.0, 999.0, 999.0, 999.0, 999.0, 999.0, 999.0, 999.0, 999.0, 4.0, 4.0, 999.0, 999.0, 999.0, 999.0, 999.0, 999.0, 999.0, 999.0, 3.0, 3.0, 999.0, 999.0, 999.0, 999.0, 999.0, 999.0, 999.0, 999.0, 2.0, 2.0, 999.0, 999.0, 999.0, 999.0, 999.0, 999.0, 999.0, 999.0, 1.0, 1.0 ], + "A_mat": [ + [ 1.0, 1.0, 0.0, 0.0, 0.0, 0.0 ], + [ 2.0, 2.0, 4.0, 4.0, 0.0, 0.0 ], + [ 3.0, 3.0, 5.0, 5.0, 6.0, 6.0 ] + ], + "x": [ 1.0, 1.0, 2.0, 2.0, 3.0, 3.0 ], + "strideX": 1, + "offsetX": 0, + "x_out": [ 0.0, 2.0, 0.0, 20.0, 0.0, 62.0 ] +} diff --git a/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/column_major_u_nt_nu.json b/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/column_major_u_nt_nu.json new file mode 100644 index 000000000000..e78cd4a59551 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/column_major_u_nt_nu.json @@ -0,0 +1,19 @@ +{ + "order": "column-major", + "uplo": "upper", + "trans": "no-transpose", + "diag": "non-unit", + "N": 3, + "strideAP": 1, + "offsetAP": 0, + "AP": [ 1.0, 1.0, 2.0, 2.0, 4.0, 4.0, 3.0, 3.0, 5.0, 5.0, 6.0, 6.0 ], + "A_mat": [ + [ 1.0, 1.0, 2.0, 2.0, 3.0, 3.0 ], + [ 0.0, 0.0, 4.0, 4.0, 5.0, 5.0 ], + [ 0.0, 0.0, 0.0, 0.0, 6.0, 6.0 ] + ], + "x": [ 1.0, 1.0, 2.0, 2.0, 3.0, 3.0 ], + "strideX": 1, + "offsetX": 0, + "x_out": [ 0.0, 28.0, 0.0, 46.0, 0.0, 36.0 ] +} diff --git a/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/column_major_u_nt_u.json b/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/column_major_u_nt_u.json new file mode 100644 index 000000000000..97ce1260fa97 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/column_major_u_nt_u.json @@ -0,0 +1,19 @@ +{ + "order": "column-major", + "uplo": "upper", + "trans": "no-transpose", + "diag": "unit", + "N": 3, + "strideAP": 1, + "offsetAP": 0, + "AP": [ 1.0, 1.0, 2.0, 2.0, 4.0, 4.0, 3.0, 3.0, 5.0, 5.0, 6.0, 6.0 ], + "A_mat": [ + [ 1.0, 1.0, 2.0, 2.0, 3.0, 3.0 ], + [ 0.0, 0.0, 4.0, 4.0, 5.0, 5.0 ], + [ 0.0, 0.0, 0.0, 0.0, 6.0, 6.0 ] + ], + "x": [ 1.0, 1.0, 2.0, 2.0, 3.0, 3.0 ], + "strideX": 1, + "offsetX": 0, + "x_out": [ 1.0, 27.0, 2.0, 32.0, 3.0, 3.0 ] +} diff --git a/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/column_major_u_t_nu.json b/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/column_major_u_t_nu.json new file mode 100644 index 000000000000..575c727fb709 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/column_major_u_t_nu.json @@ -0,0 +1,19 @@ +{ + "order": "column-major", + "uplo": 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28.0, 0.0, 46.0, 0.0, 36.0, 0.0 ] +} diff --git a/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/row_major_l_nt_nu.json b/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/row_major_l_nt_nu.json new file mode 100644 index 000000000000..2b04086e4850 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/row_major_l_nt_nu.json @@ -0,0 +1,19 @@ +{ + "order": "row-major", + "uplo": "lower", + "trans": "no-transpose", + "diag": "non-unit", + "N": 3, + "strideAP": 1, + "offsetAP": 0, + "AP": [ 1.0, 1.0, 2.0, 2.0, 4.0, 4.0, 3.0, 3.0, 5.0, 5.0, 6.0, 6.0 ], + "A_mat": [ + [ 1.0, 1.0, 0.0, 0.0, 0.0, 0.0 ], + [ 2.0, 2.0, 4.0, 4.0, 0.0, 0.0 ], + [ 3.0, 3.0, 5.0, 5.0, 6.0, 6.0 ] + ], + "x": [ 1.0, 1.0, 2.0, 2.0, 3.0, 3.0 ], + "strideX": 1, + "offsetX": 0, + "x_out": [ 0.0, 2.0, 0.0, 20.0, 0.0, 62.0 ] +} diff --git a/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/row_major_l_nt_u.json b/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/row_major_l_nt_u.json new file mode 100644 index 000000000000..155239b8d255 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/row_major_l_nt_u.json @@ -0,0 +1,19 @@ +{ + "order": "row-major", + "uplo": "lower", + "trans": "no-transpose", + "diag": "unit", + "N": 3, + "strideAP": 1, + "offsetAP": 0, + "AP": [ 1.0, 1.0, 2.0, 2.0, 4.0, 4.0, 3.0, 3.0, 5.0, 5.0, 6.0, 6.0 ], + "A_mat": [ + [ 1.0, 1.0, 0.0, 0.0, 0.0, 0.0 ], + [ 2.0, 2.0, 4.0, 4.0, 0.0, 0.0 ], + [ 3.0, 3.0, 5.0, 5.0, 6.0, 6.0 ] + ], + "x": [ 1.0, 1.0, 2.0, 2.0, 3.0, 3.0 ], + "strideX": 1, + "offsetX": 0, + "x_out": [ 1.0, 1.0, 2.0, 6.0, 3.0, 29.0 ] +} diff --git a/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/row_major_l_t_nu.json b/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/row_major_l_t_nu.json new file mode 100644 index 000000000000..5ea3348e3f61 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/row_major_l_t_nu.json @@ -0,0 +1,19 @@ +{ + "order": "row-major", + "uplo": "lower", + "trans": "transpose", + "diag": "non-unit", + "N": 3, + "strideAP": 1, + "offsetAP": 0, + "AP": [ 1.0, 1.0, 2.0, 2.0, 4.0, 4.0, 3.0, 3.0, 5.0, 5.0, 6.0, 6.0 ], + "A_mat": [ + [ 1.0, 1.0, 0.0, 0.0, 0.0, 0.0 ], + [ 2.0, 2.0, 4.0, 4.0, 0.0, 0.0 ], + [ 3.0, 3.0, 5.0, 5.0, 6.0, 6.0 ] + ], + "x": [ 1.0, 1.0, 2.0, 2.0, 3.0, 3.0 ], + "strideX": 1, + "offsetX": 0, + "x_out": [ 0.0, 28.0, 0.0, 46.0, 0.0, 36.0 ] +} diff --git a/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/row_major_l_t_u.json b/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/row_major_l_t_u.json new file mode 100644 index 000000000000..3b5ac71532d6 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/row_major_l_t_u.json @@ -0,0 +1,19 @@ +{ + "order": "row-major", + "uplo": "lower", + "trans": "transpose", + "diag": "unit", + "N": 3, + "strideAP": 1, 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+ [ 3.0, 3.0, 5.0, 5.0, 6.0, 6.0 ] + ], + "x": [ 1.0, 1.0, 2.0, 2.0, 3.0, 3.0 ], + "strideX": 1, + "offsetX": 0, + "x_out": [ 0.0, 2.0, 0.0, 20.0, 0.0, 62.0 ] +} diff --git a/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/row_major_ox.json b/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/row_major_ox.json new file mode 100644 index 000000000000..33872fa9cb68 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/row_major_ox.json @@ -0,0 +1,19 @@ +{ + "order": "row-major", + "uplo": "lower", + "trans": "no-transpose", + "diag": "non-unit", + "N": 3, + "strideAP": 1, + "offsetAP": 0, + "AP": [ 1.0, 1.0, 2.0, 2.0, 4.0, 4.0, 3.0, 3.0, 5.0, 5.0, 6.0, 6.0 ], + "A_mat": [ + [ 1.0, 1.0, 0.0, 0.0, 0.0, 0.0 ], + [ 2.0, 2.0, 4.0, 4.0, 0.0, 0.0 ], + [ 3.0, 3.0, 5.0, 5.0, 6.0, 6.0 ] + ], + "x": [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 2.0, 2.0, 3.0, 3.0 ], + "strideX": 1, + "offsetX": 3, + "x_out": [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 20.0, 0.0, 62.0 ] +} diff --git a/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/row_major_sap.json b/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/row_major_sap.json new file mode 100644 index 000000000000..99ae8c0856b5 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/row_major_sap.json @@ -0,0 +1,19 @@ +{ + "order": "row-major", + "uplo": "lower", + "trans": "no-transpose", + "diag": "non-unit", + "N": 3, + "strideAP": 2, + "offsetAP": 0, + "AP": [ 1.0, 1.0, 999.0, 999.0, 2.0, 2.0, 999.0, 999.0, 4.0, 4.0, 999.0, 999.0, 3.0, 3.0, 999.0, 999.0, 5.0, 5.0, 999.0, 999.0, 6.0, 6.0 ], + "A_mat": [ + [ 1.0, 1.0, 0.0, 0.0, 0.0, 0.0 ], + [ 2.0, 2.0, 4.0, 4.0, 0.0, 0.0 ], + [ 3.0, 3.0, 5.0, 5.0, 6.0, 6.0 ] + ], + "x": [ 1.0, 1.0, 2.0, 2.0, 3.0, 3.0 ], + "strideX": 1, + "offsetX": 0, + "x_out": [ 0.0, 2.0, 0.0, 20.0, 0.0, 62.0 ] +} diff --git a/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/row_major_sapn.json b/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/row_major_sapn.json new file mode 100644 index 000000000000..f8a26be21087 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/row_major_sapn.json @@ -0,0 +1,19 @@ +{ + "order": "row-major", + "uplo": "lower", + "trans": "no-transpose", + "diag": "non-unit", + "N": 3, + "strideAP": -3, + "offsetAP": 15, + "AP": [ 6.0, 6.0, 999.0, 999.0, 999.0, 999.0, 5.0, 5.0, 999.0, 999.0, 999.0, 999.0, 3.0, 3.0, 999.0, 999.0, 999.0, 999.0, 4.0, 4.0, 999.0, 999.0, 999.0, 999.0, 2.0, 2.0, 999.0, 999.0, 999.0, 999.0, 1.0, 1.0 ], + "A_mat": [ + [ 1.0, 1.0, 0.0, 0.0, 0.0, 0.0 ], + [ 2.0, 2.0, 4.0, 4.0, 0.0, 0.0 ], + [ 3.0, 3.0, 5.0, 5.0, 6.0, 6.0 ] + ], + "x": [ 1.0, 1.0, 2.0, 2.0, 3.0, 3.0 ], + "strideX": 1, + "offsetX": 0, + "x_out": [ 0.0, 2.0, 0.0, 20.0, 0.0, 62.0 ] +} diff --git a/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/row_major_u_nt_nu.json b/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/row_major_u_nt_nu.json new file mode 100644 index 000000000000..4fc313b2afdf --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/row_major_u_nt_nu.json @@ -0,0 +1,19 @@ +{ + "order": "row-major", + "uplo": "upper", + "trans": "no-transpose", + "diag": "non-unit", + "N": 3, + "strideAP": 1, + "offsetAP": 0, + "AP": [ 1.0, 1.0, 2.0, 2.0, 3.0, 3.0, 4.0, 4.0, 5.0, 5.0, 6.0, 6.0 ], + "A_mat": [ + [ 1.0, 1.0, 2.0, 2.0, 3.0, 3.0 ], + [ 0.0, 0.0, 4.0, 4.0, 5.0, 5.0 ], + [ 0.0, 0.0, 0.0, 0.0, 6.0, 6.0 ] + ], + "x": [ 1.0, 1.0, 2.0, 2.0, 3.0, 3.0 ], + "strideX": 1, + "offsetX": 0, + "x_out": [ 0.0, 28.0, 0.0, 46.0, 0.0, 36.0 ] +} diff --git a/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/row_major_u_nt_u.json b/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/row_major_u_nt_u.json new file mode 100644 index 000000000000..fdcfe49f0747 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/row_major_u_nt_u.json @@ -0,0 +1,19 @@ +{ + "order": "row-major", + "uplo": "upper", + "trans": "no-transpose", + "diag": "unit", + "N": 3, + "strideAP": 1, + "offsetAP": 0, + "AP": [ 1.0, 1.0, 2.0, 2.0, 3.0, 3.0, 4.0, 4.0, 5.0, 5.0, 6.0, 6.0 ], + "A_mat": [ + [ 1.0, 1.0, 2.0, 2.0, 3.0, 3.0 ], + [ 0.0, 0.0, 4.0, 4.0, 5.0, 5.0 ], + [ 0.0, 0.0, 0.0, 0.0, 6.0, 6.0 ] + ], + "x": [ 1.0, 1.0, 2.0, 2.0, 3.0, 3.0 ], + "strideX": 1, + "offsetX": 0, + "x_out": [ 1.0, 27.0, 2.0, 32.0, 3.0, 3.0 ] +} diff --git a/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/row_major_u_t_nu.json b/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/row_major_u_t_nu.json new file mode 100644 index 000000000000..f14c3cd91fb1 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/row_major_u_t_nu.json @@ -0,0 +1,19 @@ +{ + "order": "row-major", + "uplo": "upper", + "trans": "transpose", + "diag": "non-unit", + "N": 3, + "strideAP": 1, + "offsetAP": 0, + "AP": [ 1.0, 1.0, 2.0, 2.0, 3.0, 3.0, 4.0, 4.0, 5.0, 5.0, 6.0, 6.0 ], + "A_mat": [ + [ 1.0, 1.0, 2.0, 2.0, 3.0, 3.0 ], + [ 0.0, 0.0, 4.0, 4.0, 5.0, 5.0 ], + [ 0.0, 0.0, 0.0, 0.0, 6.0, 6.0 ] + ], + "x": [ 1.0, 1.0, 2.0, 2.0, 3.0, 3.0 ], + "strideX": 1, + "offsetX": 0, + "x_out": [ 0.0, 2.0, 0.0, 20.0, 0.0, 62.0 ] +} diff --git a/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/row_major_u_t_u.json b/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/row_major_u_t_u.json new file mode 100644 index 000000000000..7bda660015da --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/row_major_u_t_u.json @@ -0,0 +1,19 @@ +{ + "order": "row-major", + "uplo": "upper", + "trans": "transpose", + "diag": "unit", + "N": 3, + "strideAP": 1, + "offsetAP": 0, + "AP": [ 1.0, 1.0, 2.0, 2.0, 3.0, 3.0, 4.0, 4.0, 5.0, 5.0, 6.0, 6.0 ], + "A_mat": [ + [ 1.0, 1.0, 2.0, 2.0, 3.0, 3.0 ], + [ 0.0, 0.0, 4.0, 4.0, 5.0, 5.0 ], + [ 0.0, 0.0, 0.0, 0.0, 6.0, 6.0 ] + ], + "x": [ 1.0, 1.0, 2.0, 2.0, 3.0, 3.0 ], + "strideX": 1, + "offsetX": 0, + "x_out": [ 1.0, 1.0, 2.0, 6.0, 3.0, 29.0 ] +} diff --git a/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/row_major_xn.json b/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/row_major_xn.json new file mode 100644 index 000000000000..9788911e0004 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/row_major_xn.json @@ -0,0 +1,20 @@ +{ + "order": "row-major", + "uplo": "lower", + "trans": "no-transpose", + "diag": "non-unit", + "N": 4, + "strideAP": 1, + "offsetAP": 0, + "AP": [ 1.0, 1.0, -2.0, -2.0, 5.0, 5.0, 3.0, 3.0, -6.0, -6.0, 8.0, 8.0, -4.0, -4.0, 7.0, 7.0, -9.0, -9.0, 10.0, 10.0 ], + "A_mat": [ + [ 1.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ], + [ -2.0, -2.0, 5.0, 5.0, 0.0, 0.0, 0.0, 0.0 ], + [ 3.0, 3.0, -6.0, -6.0, 8.0, 8.0, 0.0, 0.0 ], + [ -4.0, -4.0, 7.0, 7.0, -9.0, -9.0, 10.0, 10.0 ] + ], + "x": [ 4.0, 4.0, 0.0, 0.0, 3.0, 3.0, 0.0, 0.0, 2.0, 2.0, 0.0, 0.0, 1.0, 1.0 ], + "strideX": -2, + "offsetX": 6, + "x_out": [ 0.0, 46.0, 0.0, 0.0, 0.0, 30.0, 0.0, 0.0, 0.0, 16.0, 0.0, 0.0, 0.0, 2.0 ] +} diff --git a/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/row_major_xp.json b/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/row_major_xp.json new file mode 100644 index 000000000000..d4e4e23e94fb --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ctpmv/test/fixtures/row_major_xp.json @@ -0,0 +1,20 @@ +{ + "order": "row-major", + "uplo": "lower", + "trans": "no-transpose", + "diag": "non-unit", + "N": 4, + "strideAP": 1, + "offsetAP": 0, + "AP": [ 1.0, 1.0, -2.0, -2.0, 5.0, 5.0, 3.0, 3.0, -6.0, -6.0, 8.0, 8.0, -4.0, -4.0, 7.0, 7.0, -9.0, -9.0, 10.0, 10.0 ], + "A_mat": [ + [ 1.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ], + [ -2.0, -2.0, 5.0, 5.0, 0.0, 0.0, 0.0, 0.0 ], + [ 3.0, 3.0, -6.0, -6.0, 8.0, 8.0, 0.0, 0.0 ], + [ -4.0, -4.0, 7.0, 7.0, -9.0, -9.0, 10.0, 10.0 ] + ], + "x": [ 1.0, 1.0, 0.0, 0.0, 2.0, 2.0, 0.0, 0.0, 3.0, 3.0, 0.0, 0.0, 4.0, 4.0 ], + "strideX": 2, + "offsetX": 0, + "x_out": [ 0.0, 2.0, 0.0, 0.0, 0.0, 16.0, 0.0, 0.0, 0.0, 30.0, 0.0, 0.0, 0.0, 46.0 ] +} diff --git a/lib/node_modules/@stdlib/blas/base/ctpmv/test/test.ctpmv.js b/lib/node_modules/@stdlib/blas/base/ctpmv/test/test.ctpmv.js new file mode 100644 index 000000000000..7e01c09c71f3 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ctpmv/test/test.ctpmv.js @@ -0,0 +1,788 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +/* eslint-disable max-len */ + +'use strict'; + +// MODULES // + +var tape = require( 'tape' ); +var isSameComplex64Array = require( '@stdlib/assert/is-same-complex64array' ); +var Complex64Array = require( '@stdlib/array/complex64' ); +var ctpmv = require( './../lib/ctpmv.js' ); + + +// FIXTURES // + +var rlntnu = require( './fixtures/row_major_l_nt_nu.json' ); +var rltnu = require( './fixtures/row_major_l_t_nu.json' ); +var rlntu = require( './fixtures/row_major_l_nt_u.json' ); +var rltu = require( './fixtures/row_major_l_t_u.json' ); +var rlctnu = require( './fixtures/row_major_l_ct_nu.json' ); +var runtnu = require( './fixtures/row_major_u_nt_nu.json' ); +var runtu = require( './fixtures/row_major_u_nt_u.json' ); +var rutnu = require( './fixtures/row_major_u_t_nu.json' ); +var rutu = require( './fixtures/row_major_u_t_u.json' ); +var rxp = require( './fixtures/row_major_xp.json' ); +var rxn = require( './fixtures/row_major_xn.json' ); +var clntnu = require( './fixtures/column_major_l_nt_nu.json' ); +var cltnu = require( './fixtures/column_major_l_t_nu.json' ); +var clntu = require( './fixtures/column_major_l_nt_u.json' ); +var cltu = require( './fixtures/column_major_l_t_u.json' ); +var clctnu = require( './fixtures/column_major_l_ct_nu.json' ); +var cuntnu = require( './fixtures/column_major_u_nt_nu.json' ); +var cuntu = require( './fixtures/column_major_u_nt_u.json' ); +var cutnu = require( './fixtures/column_major_u_t_nu.json' ); +var cutu = require( './fixtures/column_major_u_t_u.json' ); +var cxp = require( './fixtures/column_major_xp.json' ); +var cxn = require( './fixtures/column_major_xn.json' ); + + +// TESTS // + +tape( 'main export is a function', function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof ctpmv, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'the function has an arity of 8', function test( t ) { + t.strictEqual( ctpmv.length, 8, 'returns expected value' ); + t.end(); +}); + +tape( 'the function throws an error if provided an invalid first argument', function test( t ) { + var values; + var data; + var ap; + var i; + var x; + + data = rutu; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + values = [ + 'foo', + 'bar', + 'beep', + 'boop' + ]; + + for ( i = 0; i < values.length; i++ ) { + t.throws( badValue( values[ i ] ), TypeError, 'throws an error when provided ' + values[ i ] ); + } + t.end(); + + function badValue( value ) { + return function badValue() { + ctpmv( value, data.uplo, data.trans, data.diag, data.N, ap, x, data.strideX ); + }; + } +}); + +tape( 'the function throws an error if provided an invalid second argument', function test( t ) { + var values; + var data; + var ap; + var i; + var x; + + data = rutu; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + values = [ + 'foo', + 'bar', + 'beep', + 'boop' + ]; + + for ( i = 0; i < values.length; i++ ) { + t.throws( badValue( values[ i ] ), TypeError, 'throws an error when provided ' + values[ i ] ); + } + t.end(); + + function badValue( value ) { + return function badValue() { + ctpmv( data.order, value, data.trans, data.diag, data.N, ap, x, data.strideX ); + }; + } +}); + +tape( 'the function throws an error if provided an invalid third argument', function test( t ) { + var values; + var data; + var ap; + var i; + var x; + + data = rutu; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + values = [ + 'foo', + 'bar', + 'beep', + 'boop' + ]; + + for ( i = 0; i < values.length; i++ ) { + t.throws( badValue( values[ i ] ), TypeError, 'throws an error when provided ' + values[ i ] ); + } + t.end(); + + function badValue( value ) { + return function badValue() { + ctpmv( data.order, data.uplo, value, data.diag, data.N, ap, x, data.strideX ); + }; + } +}); + +tape( 'the function throws an error if provided an invalid fourth argument', function test( t ) { + var values; + var data; + var ap; + var i; + var x; + + data = rutu; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + values = [ + 'foo', + 'bar', + 'beep', + 'boop' + ]; + + for ( i = 0; i < values.length; i++ ) { + t.throws( badValue( values[ i ] ), TypeError, 'throws an error when provided ' + values[ i ] ); + } + t.end(); + + function badValue( value ) { + return function badValue() { + ctpmv( data.order, data.uplo, data.trans, value, data.N, ap, x, data.strideX ); + }; + } +}); + +tape( 'the function throws an error if provided an invalid fifth argument', function test( t ) { + var values; + var data; + var ap; + var i; + var x; + + data = rutu; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + values = [ + -1, + -2, + -3 + ]; + + for ( i = 0; i < values.length; i++ ) { + t.throws( badValue( values[ i ] ), RangeError, 'throws an error when provided ' + values[ i ] ); + } + t.end(); + + function badValue( value ) { + return function badValue() { + ctpmv( data.order, data.uplo, data.trans, data.diag, value, ap, x, data.strideX ); + }; + } +}); + +tape( 'the function throws an error if provided an invalid eighth argument', function test( t ) { + var values; + var data; + var ap; + var i; + var x; + + data = rutu; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + values = [ + 0 + ]; + + for ( i = 0; i < values.length; i++ ) { + t.throws( badValue( values[ i ] ), RangeError, 'throws an error when provided ' + values[ i ] ); + } + t.end(); + + function badValue( value ) { + return function badValue() { + ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, x, value ); + }; + } +}); + +tape( 'the function performs one of the matrix-vector operations `x = A*x`, or `x = A**T*x`, or `x = A**H*x` (row-major, lower, no transpose, non-unit)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = rlntnu; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x_out ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, x, data.strideX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'the function performs one of the matrix-vector operations `x = A*x`, or `x = A**T*x`, or `x = A**H*x` (column-major, lower, no transpose, non-unit)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = clntnu; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x_out ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, x, data.strideX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'the function performs one of the matrix-vector operations `x = A*x`, or `x = A**T*x`, or `x = A**H*x` (row-major, lower, no transpose, unit)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = rlntu; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x_out ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, x, data.strideX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'the function performs one of the matrix-vector operations `x = A*x`, or `x = A**T*x`, or `x = A**H*x` (column-major, lower, no transpose, unit)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = clntu; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x_out ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, x, data.strideX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'the function performs one of the matrix-vector operations `x = A*x`, or `x = A**T*x`, or `x = A**H*x` (row-major, lower, transpose, non-unit)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = rltnu; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x_out ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, x, data.strideX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'the function performs one of the matrix-vector operations `x = A*x`, or `x = A**T*x`, or `x = A**H*x` (column-major, lower, transpose, non-unit)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = cltnu; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x_out ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, x, data.strideX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'the function performs one of the matrix-vector operations `x = A*x`, or `x = A**T*x`, or `x = A**H*x` (row-major, lower, transpose, unit)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = rltu; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x_out ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, x, data.strideX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'the function performs one of the matrix-vector operations `x = A*x`, or `x = A**T*x`, or `x = A**H*x` (column-major, lower, transpose, unit)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = cltu; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x_out ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, x, data.strideX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'the function performs one of the matrix-vector operations `x = A*x`, or `x = A**T*x`, or `x = A**H*x` (row-major, lower, conjugate-transpose, non-unit)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = rlctnu; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x_out ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, x, data.strideX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'the function performs one of the matrix-vector operations `x = A*x`, or `x = A**T*x`, or `x = A**H*x` (column-major, lower, conjugate-transpose, non-unit)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = clctnu; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x_out ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, x, data.strideX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'the function performs one of the matrix-vector operations `x = A*x`, or `x = A**T*x`, or `x = A**H*x` (row-major, upper, no transpose, non-unit)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = runtnu; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x_out ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, x, data.strideX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'the function performs one of the matrix-vector operations `x = A*x`, or `x = A**T*x`, or `x = A**H*x` (column-major, upper, no transpose, non-unit)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = cuntnu; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x_out ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, x, data.strideX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'the function performs one of the matrix-vector operations `x = A*x`, or `x = A**T*x`, or `x = A**H*x` (row-major, upper, no transpose, unit)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = runtu; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x_out ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, x, data.strideX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'the function performs one of the matrix-vector operations `x = A*x`, or `x = A**T*x`, or `x = A**H*x` (column-major, upper, no transpose, unit)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = cuntu; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x_out ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, x, data.strideX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'the function performs one of the matrix-vector operations `x = A*x`, or `x = A**T*x`, or `x = A**H*x` (row-major, upper, transpose, non-unit)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = rutnu; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x_out ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, x, data.strideX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'the function performs one of the matrix-vector operations `x = A*x`, or `x = A**T*x`, or `x = A**H*x` (column-major, upper, transpose, non-unit)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = cutnu; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x_out ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, x, data.strideX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'the function performs one of the matrix-vector operations `x = A*x`, or `x = A**T*x`, or `x = A**H*x` (row-major, upper, transpose, unit)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = rutu; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x_out ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, x, data.strideX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'the function performs one of the matrix-vector operations `x = A*x`, or `x = A**T*x`, or `x = A**H*x` (column-major, upper, transpose, unit)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = cutu; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x_out ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, x, data.strideX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'the function returns a reference to the input vector (row-major)', function test( t ) { + var data; + var out; + var ap; + var x; + + data = rutu; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, x, data.strideX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'the function returns a reference to the input vector (column-major)', function test( t ) { + var data; + var out; + var ap; + var x; + + data = cutu; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, x, data.strideX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'if `N` is zero, the function returns the input vector unchanged (row-major)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = rutu; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, 0, ap, x, data.strideX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'if `N` is zero, the function returns the input vector unchanged (column-major)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = cutu; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, 0, ap, x, data.strideX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'the function supports specifying an `x` stride (row-major)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = rxp; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x_out ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, x, data.strideX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'the function supports specifying an `x` stride (column-major)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = cxp; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x_out ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, x, data.strideX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'the function supports a negative `x` stride (row-major)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = rxn; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x_out ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, x, data.strideX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'the function supports a negative `x` stride (column-major)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = cxn; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x_out ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, x, data.strideX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +}); diff --git a/lib/node_modules/@stdlib/blas/base/ctpmv/test/test.js b/lib/node_modules/@stdlib/blas/base/ctpmv/test/test.js new file mode 100644 index 000000000000..40d38b8c7fb0 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ctpmv/test/test.js @@ -0,0 +1,82 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var tape = require( 'tape' ); +var proxyquire = require( 'proxyquire' ); +var IS_BROWSER = require( '@stdlib/assert/is-browser' ); +var ctpmv = 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 ctpmv, '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 ctpmv.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 ctpmv = proxyquire( './../lib', { + '@stdlib/utils/try-require': tryRequire + }); + + t.strictEqual( ctpmv, 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 ctpmv; + var main; + + main = require( './../lib/ctpmv.js' ); + + ctpmv = proxyquire( './../lib', { + '@stdlib/utils/try-require': tryRequire + }); + + t.strictEqual( ctpmv, main, 'returns expected value' ); + t.end(); + + function tryRequire() { + return new Error( 'Cannot find module' ); + } +}); diff --git a/lib/node_modules/@stdlib/blas/base/ctpmv/test/test.ndarray.js b/lib/node_modules/@stdlib/blas/base/ctpmv/test/test.ndarray.js new file mode 100644 index 000000000000..2690873cd4c2 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ctpmv/test/test.ndarray.js @@ -0,0 +1,1036 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +/* eslint-disable max-len */ + +'use strict'; + +// MODULES // + +var tape = require( 'tape' ); +var isSameComplex64Array = require( '@stdlib/assert/is-same-complex64array' ); +var Complex64Array = require( '@stdlib/array/complex64' ); +var ctpmv = require( './../lib/ndarray.js' ); + + +// FIXTURES // + +var rlntnu = require( './fixtures/row_major_l_nt_nu.json' ); +var rltnu = require( './fixtures/row_major_l_t_nu.json' ); +var rlntu = require( './fixtures/row_major_l_nt_u.json' ); +var rltu = require( './fixtures/row_major_l_t_u.json' ); +var rlctnu = require( './fixtures/row_major_l_ct_nu.json' ); +var runtnu = require( './fixtures/row_major_u_nt_nu.json' ); +var runtu = require( './fixtures/row_major_u_nt_u.json' ); +var rutnu = require( './fixtures/row_major_u_t_nu.json' ); +var rutu = require( './fixtures/row_major_u_t_u.json' ); +var rox = require( './fixtures/row_major_ox.json' ); +var rxp = require( './fixtures/row_major_xp.json' ); +var rxn = require( './fixtures/row_major_xn.json' ); +var roap = require( './fixtures/row_major_oap.json' ); +var rsap = require( './fixtures/row_major_sap.json' ); +var rsapn = require( './fixtures/row_major_sapn.json' ); +var rcap = require( './fixtures/row_major_complex_access_pattern.json' ); +var clntnu = require( './fixtures/column_major_l_nt_nu.json' ); +var cltnu = require( './fixtures/column_major_l_t_nu.json' ); +var clntu = require( './fixtures/column_major_l_nt_u.json' ); +var cltu = require( './fixtures/column_major_l_t_u.json' ); +var clctnu = require( './fixtures/column_major_l_ct_nu.json' ); +var cuntnu = require( './fixtures/column_major_u_nt_nu.json' ); +var cuntu = require( './fixtures/column_major_u_nt_u.json' ); +var cutnu = require( './fixtures/column_major_u_t_nu.json' ); +var cutu = require( './fixtures/column_major_u_t_u.json' ); +var cox = require( './fixtures/column_major_ox.json' ); +var cxp = require( './fixtures/column_major_xp.json' ); +var cxn = require( './fixtures/column_major_xn.json' ); +var coap = require( './fixtures/column_major_oap.json' ); +var csap = require( './fixtures/column_major_sap.json' ); +var csapn = require( './fixtures/column_major_sapn.json' ); +var ccap = require( './fixtures/column_major_complex_access_pattern.json' ); + + +// TESTS // + +tape( 'main export is a function', function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof ctpmv, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'the function has an arity of 11', function test( t ) { + t.strictEqual( ctpmv.length, 11, 'returns expected value' ); + t.end(); +}); + +tape( 'the function throws an error if provided an invalid first argument', function test( t ) { + var values; + var data; + var ap; + var i; + var x; + + data = rutu; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + values = [ + 'foo', + 'bar', + 'beep', + 'boop' + ]; + + for ( i = 0; i < values.length; i++ ) { + t.throws( badValue( values[ i ] ), TypeError, 'throws an error when provided ' + values[ i ] ); + } + t.end(); + + function badValue( value ) { + return function badValue() { + ctpmv( value, data.uplo, data.trans, data.diag, data.N, ap, data.strideAP, data.offsetAP, x, data.strideX, data.offsetX ); + }; + } +}); + +tape( 'the function throws an error if provided an invalid second argument', function test( t ) { + var values; + var data; + var ap; + var i; + var x; + + data = rutu; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + values = [ + 'foo', + 'bar', + 'beep', + 'boop' + ]; + + for ( i = 0; i < values.length; i++ ) { + t.throws( badValue( values[ i ] ), TypeError, 'throws an error when provided ' + values[ i ] ); + } + t.end(); + + function badValue( value ) { + return function badValue() { + ctpmv( data.order, value, data.trans, data.diag, data.N, ap, data.strideAP, data.offsetAP, x, data.strideX, data.offsetX ); + }; + } +}); + +tape( 'the function throws an error if provided an invalid third argument', function test( t ) { + var values; + var data; + var ap; + var i; + var x; + + data = rutu; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + values = [ + 'foo', + 'bar', + 'beep', + 'boop' + ]; + + for ( i = 0; i < values.length; i++ ) { + t.throws( badValue( values[ i ] ), TypeError, 'throws an error when provided ' + values[ i ] ); + } + t.end(); + + function badValue( value ) { + return function badValue() { + ctpmv( data.order, data.uplo, value, data.diag, data.N, ap, data.strideAP, data.offsetAP, x, data.strideX, data.offsetX ); + }; + } +}); + +tape( 'the function throws an error if provided an invalid fourth argument', function test( t ) { + var values; + var data; + var ap; + var i; + var x; + + data = rutu; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + values = [ + 'foo', + 'bar', + 'beep', + 'boop' + ]; + + for ( i = 0; i < values.length; i++ ) { + t.throws( badValue( values[ i ] ), TypeError, 'throws an error when provided ' + values[ i ] ); + } + t.end(); + + function badValue( value ) { + return function badValue() { + ctpmv( data.order, data.uplo, data.trans, value, data.N, ap, data.strideAP, data.offsetAP, x, data.strideX, data.offsetX ); + }; + } +}); + +tape( 'the function throws an error if provided an invalid fifth argument', function test( t ) { + var values; + var data; + var ap; + var i; + var x; + + data = rutu; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + values = [ + -1, + -2, + -3 + ]; + + for ( i = 0; i < values.length; i++ ) { + t.throws( badValue( values[ i ] ), RangeError, 'throws an error when provided ' + values[ i ] ); + } + t.end(); + + function badValue( value ) { + return function badValue() { + ctpmv( data.order, data.uplo, data.trans, data.diag, value, ap, data.strideAP, data.offsetAP, x, data.strideX, data.offsetX ); + }; + } +}); + +tape( 'the function throws an error if provided an invalid seventh argument', function test( t ) { + var values; + var data; + var ap; + var i; + var x; + + data = rutu; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + values = [ + 0 + ]; + + for ( i = 0; i < values.length; i++ ) { + t.throws( badValue( values[ i ] ), RangeError, 'throws an error when provided ' + values[ i ] ); + } + t.end(); + + function badValue( value ) { + return function badValue() { + ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, value, data.offsetAP, x, data.strideX, data.offsetX ); + }; + } +}); + +tape( 'the function throws an error if provided an invalid tenth argument', function test( t ) { + var values; + var data; + var ap; + var i; + var x; + + data = rutu; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + values = [ + 0 + ]; + + for ( i = 0; i < values.length; i++ ) { + t.throws( badValue( values[ i ] ), RangeError, 'throws an error when provided ' + values[ i ] ); + } + t.end(); + + function badValue( value ) { + return function badValue() { + ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, data.strideAP, data.offsetAP, x, value, data.offsetX ); + }; + } +}); + +tape( 'the function performs one of the matrix-vector operations `x = A*x`, or `x = A**T*x`, or `x = A**H*x` (row-major, lower, no transpose, non-unit)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = rlntnu; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x_out ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, data.strideAP, data.offsetAP, x, data.strideX, data.offsetX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'the function performs one of the matrix-vector operations `x = A*x`, or `x = A**T*x`, or `x = A**H*x` (column-major, lower, no transpose, non-unit)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = clntnu; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x_out ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, data.strideAP, data.offsetAP, x, data.strideX, data.offsetX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'the function performs one of the matrix-vector operations `x = A*x`, or `x = A**T*x`, or `x = A**H*x` (row-major, lower, no transpose, unit)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = rlntu; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x_out ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, data.strideAP, data.offsetAP, x, data.strideX, data.offsetX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'the function performs one of the matrix-vector operations `x = A*x`, or `x = A**T*x`, or `x = A**H*x` (column-major, lower, no transpose, unit)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = clntu; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x_out ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, data.strideAP, data.offsetAP, x, data.strideX, data.offsetX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'the function performs one of the matrix-vector operations `x = A*x`, or `x = A**T*x`, or `x = A**H*x` (row-major, lower, transpose, non-unit)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = rltnu; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x_out ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, data.strideAP, data.offsetAP, x, data.strideX, data.offsetX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'the function performs one of the matrix-vector operations `x = A*x`, or `x = A**T*x`, or `x = A**H*x` (column-major, lower, transpose, non-unit)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = cltnu; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x_out ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, data.strideAP, data.offsetAP, x, data.strideX, data.offsetX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'the function performs one of the matrix-vector operations `x = A*x`, or `x = A**T*x`, or `x = A**H*x` (row-major, lower, transpose, unit)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = rltu; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x_out ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, data.strideAP, data.offsetAP, x, data.strideX, data.offsetX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'the function performs one of the matrix-vector operations `x = A*x`, or `x = A**T*x`, or `x = A**H*x` (column-major, lower, transpose, unit)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = cltu; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x_out ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, data.strideAP, data.offsetAP, x, data.strideX, data.offsetX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'the function performs one of the matrix-vector operations `x = A*x`, or `x = A**T*x`, or `x = A**H*x` (row-major, lower, conjugate-transpose, non-unit)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = rlctnu; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x_out ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, data.strideAP, data.offsetAP, x, data.strideX, data.offsetX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'the function performs one of the matrix-vector operations `x = A*x`, or `x = A**T*x`, or `x = A**H*x` (column-major, lower, conjugate-transpose, non-unit)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = clctnu; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x_out ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, data.strideAP, data.offsetAP, x, data.strideX, data.offsetX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'the function performs one of the matrix-vector operations `x = A*x`, or `x = A**T*x`, or `x = A**H*x` (row-major, upper, no transpose, non-unit)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = runtnu; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x_out ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, data.strideAP, data.offsetAP, x, data.strideX, data.offsetX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'the function performs one of the matrix-vector operations `x = A*x`, or `x = A**T*x`, or `x = A**H*x` (column-major, upper, no transpose, non-unit)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = cuntnu; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x_out ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, data.strideAP, data.offsetAP, x, data.strideX, data.offsetX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'the function performs one of the matrix-vector operations `x = A*x`, or `x = A**T*x`, or `x = A**H*x` (row-major, upper, no transpose, unit)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = runtu; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x_out ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, data.strideAP, data.offsetAP, x, data.strideX, data.offsetX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'the function performs one of the matrix-vector operations `x = A*x`, or `x = A**T*x`, or `x = A**H*x` (column-major, upper, no transpose, unit)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = cuntu; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x_out ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, data.strideAP, data.offsetAP, x, data.strideX, data.offsetX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'the function performs one of the matrix-vector operations `x = A*x`, or `x = A**T*x`, or `x = A**H*x` (row-major, upper, transpose, non-unit)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = rutnu; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x_out ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, data.strideAP, data.offsetAP, x, data.strideX, data.offsetX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'the function performs one of the matrix-vector operations `x = A*x`, or `x = A**T*x`, or `x = A**H*x` (column-major, upper, transpose, non-unit)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = cutnu; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x_out ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, data.strideAP, data.offsetAP, x, data.strideX, data.offsetX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'the function performs one of the matrix-vector operations `x = A*x`, or `x = A**T*x`, or `x = A**H*x` (row-major, upper, transpose, unit)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = rutu; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x_out ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, data.strideAP, data.offsetAP, x, data.strideX, data.offsetX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'the function performs one of the matrix-vector operations `x = A*x`, or `x = A**T*x`, or `x = A**H*x` (column-major, upper, transpose, unit)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = cutu; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x_out ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, data.strideAP, data.offsetAP, x, data.strideX, data.offsetX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'the function returns a reference to the input vector (row-major)', function test( t ) { + var data; + var out; + var ap; + var x; + + data = rutu; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, data.strideAP, data.offsetAP, x, data.strideX, data.offsetX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'the function returns a reference to the input vector (column-major)', function test( t ) { + var data; + var out; + var ap; + var x; + + data = cutu; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, data.strideAP, data.offsetAP, x, data.strideX, data.offsetX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'if `N` is zero, the function returns the input vector unchanged (row-major)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = rutu; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, 0, ap, data.strideAP, data.offsetAP, x, data.strideX, data.offsetX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'if `N` is zero, the function returns the input vector unchanged (column-major)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = cutu; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, 0, ap, data.strideAP, data.offsetAP, x, data.strideX, data.offsetX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'the function supports specifying an `x` offset (row-major)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = rox; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x_out ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, data.strideAP, data.offsetAP, x, data.strideX, data.offsetX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'the function supports specifying an `x` offset (column-major)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = cox; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x_out ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, data.strideAP, data.offsetAP, x, data.strideX, data.offsetX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'the function supports specifying an `x` stride (row-major)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = rxp; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x_out ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, data.strideAP, data.offsetAP, x, data.strideX, data.offsetX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'the function supports specifying an `x` stride (column-major)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = cxp; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x_out ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, data.strideAP, data.offsetAP, x, data.strideX, data.offsetX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'the function supports a negative `x` stride (row-major)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = rxn; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x_out ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, data.strideAP, data.offsetAP, x, data.strideX, data.offsetX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'the function supports a negative `x` stride (column-major)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = cxn; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x_out ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, data.strideAP, data.offsetAP, x, data.strideX, data.offsetX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'the function supports specifying an offset for `AP` (row-major)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = roap; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x_out ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, data.strideAP, data.offsetAP, x, data.strideX, data.offsetX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'the function supports specifying an offset for `AP` (column-major)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = coap; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x_out ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, data.strideAP, data.offsetAP, x, data.strideX, data.offsetX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'the function supports specifying a stride for `AP` (row-major)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = rsap; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x_out ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, data.strideAP, data.offsetAP, x, data.strideX, data.offsetX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'the function supports specifying a stride for `AP` (column-major)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = csap; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x_out ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, data.strideAP, data.offsetAP, x, data.strideX, data.offsetX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'the function supports specifying a negative stride for `AP` (row-major)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = rsapn; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x_out ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, data.strideAP, data.offsetAP, x, data.strideX, data.offsetX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'the function supports specifying a negative stride for `AP` (column-major)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = csapn; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x_out ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, data.strideAP, data.offsetAP, x, data.strideX, data.offsetX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'the function supports complex access patterns (row-major)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = rcap; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x_out ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, data.strideAP, data.offsetAP, x, data.strideX, data.offsetX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +}); + +tape( 'the function supports complex access patterns (column-major)', function test( t ) { + var expected; + var data; + var out; + var ap; + var x; + + data = ccap; + + ap = new Complex64Array( data.AP ); + x = new Complex64Array( data.x ); + + expected = new Complex64Array( data.x_out ); + + out = ctpmv( data.order, data.uplo, data.trans, data.diag, data.N, ap, data.strideAP, data.offsetAP, x, data.strideX, data.offsetX ); + t.strictEqual( isSameComplex64Array( out, x ), true, 'returns expected values' ); + t.deepEqual( isSameComplex64Array( out, expected ), true, 'returns expected values' ); + + t.end(); +});