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lapack/base/dlarfg/base.js.html

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// MAIN //
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&nbsp;
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/**
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* Generates a real elementary reflector `H` of order `n` such that applying `H` to a vector `[alpha; x]` zeros out `x`.
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* Generates a real elementary reflector `H` of order `N` such that applying `H` to a vector `[alpha; x]` zeros out `X`.
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*
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* ## Notes
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*
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* - `H` is a Householder matrix with the form `H = I - tau * [1; v] * [1, v^T]`, where `tau` is a scalar and `v` is a vector.
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* - the input vector is `[alpha; x]`, where `alpha` is a scalar and `x` is a real `(n-1)`-element vector.
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* - the input vector is `[alpha; x]`, where `alpha` is a scalar and `X` is a real `(n-1)`-element vector.
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* - the result of applying `H` to `[alpha; x]` is `[beta; 0]`, with `beta` being a scalar and the rest of the vector zeroed.
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* - if all elements of `x` are zero, then `tau = 0` and `H` is the identity matrix.
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* - otherwise, `1 &lt;= tau &lt;= 2` and `H` is orthogonal, i.e., `H^T * H = I`.
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* - if all elements of `X` are zero, then `tau = 0` and `H` is the identity matrix.
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* - otherwise, `1 &lt;= tau &lt;= 2`
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*
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* @private
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* @param {NonNegativeInteger} N - order of matrix `A`
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* @param {Float64Array} X - overwritten by the vector `V` on exit
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* @param {NonNegativeInteger} N - number of rows/columns of the elementary reflector `H`
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* @param {Float64Array} X - overwritten by the vector `V` on exit, expects `N - 1` indexed elements
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* @param {integer} strideX - stride length for `X`
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* @param {NonNegativeInteger} offsetX - starting index of `X`
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* @param {Float64Array} out - array to store `alpha` and `tau`, first indexed element stores `alpha` and the second indexed element stores `tau`
@@ -356,7 +356,7 @@ <h1><a href="../../../../index.html">All files</a> / <a href="index.html">lapack
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*
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* dlarfg( 4, X, 1, 0, out, 1, 0 );
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* // X =&gt; &lt;Float64Array&gt;[ ~0.19, ~0.28, ~0.37 ]
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* // out =&gt; &lt;Float64Array&gt;[ ~6.7, ~1.6 ]
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* // out =&gt; &lt;Float64Array&gt;[ ~-6.7, ~1.6 ]
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*/
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function dlarfg( N, X, strideX, offsetX, out, strideOut, offsetOut ) {
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var safemin;
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<div class='footer quiet pad2 space-top1 center small'>
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Code coverage generated by
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<a href="https://istanbul.js.org/" target="_blank" rel="noopener noreferrer">istanbul</a>
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at 2025-05-29T11:24:56.192Z
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</div>
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<script src="../../../../prettify.js"></script>
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<script>

lapack/base/dlarfg/coverage.ndjson

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[422,424,99.5283,18,19,94.7368,4,4,100,422,424,99.5283,"4632c5bbc9d02f6d3037b3f94ec854577bfd62aa","2025-05-29 11:23:11 +0000"]
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[422,424,99.5283,18,19,94.7368,4,4,100,422,424,99.5283,"8b4265275ae9dbeabb6ce7c6ffd00a2c7d215285","2025-05-30 07:57:51 +0000"]

lapack/base/dlarfg/dlapy2.js.html

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* Returns sqrt( x^2 + y^2 ) in a manner which doesn't cause unnecessary overflow.
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*
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* @private
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* @param {number} x - order of matrix `A`
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* @param {number} y - order of matrix `A`
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* @param {number} x - number of rows/columns of the elementary reflector `H`
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* @param {number} y - number of rows/columns of the elementary reflector `H`
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* @returns {integer} status code
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*
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* @example
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<div class='footer quiet pad2 space-top1 center small'>
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Code coverage generated by
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<a href="https://istanbul.js.org/" target="_blank" rel="noopener noreferrer">istanbul</a>
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</div>
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<script src="../../../../prettify.js"></script>
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<script>

lapack/base/dlarfg/dlarfg.js.html

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// MAIN //
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&nbsp;
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/**
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* Generates a real elementary reflector `H` of order `n` such that applying `H` to a vector `[alpha; x]` zeros out `x`.
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* Generates a real elementary reflector `H` of order `N` such that applying `H` to a vector `[alpha; x]` zeros out `X`.
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*
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* ## Notes
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*
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* - `H` is a Householder matrix with the form `H = I - tau * [1; v] * [1, v^T]`, where `tau` is a scalar and `v` is a vector.
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* - the input vector is `[alpha; x]`, where `alpha` is a scalar and `x` is a real `(n-1)`-element vector.
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* - the input vector is `[alpha; x]`, where `alpha` is a scalar and `X` is a real `(n-1)`-element vector.
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* - the result of applying `H` to `[alpha; x]` is `[beta; 0]`, with `beta` being a scalar and the rest of the vector zeroed.
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* - if all elements of `x` are zero, then `tau = 0` and `H` is the identity matrix.
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* - otherwise, `1 &lt;= tau &lt;= 2` and `H` is orthogonal, i.e., `H^T * H = I`.
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* - if all elements of `X` are zero, then `tau = 0` and `H` is the identity matrix.
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* - otherwise, `1 &lt;= tau &lt;= 2`
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*
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* @param {NonNegativeInteger} N - order of matrix `A`
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* @param {Float64Array} X - overwritten by the vector `V` on exit
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* @param {NonNegativeInteger} N - number of rows/columns of the elementary reflector `H`
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* @param {Float64Array} X - overwritten by the vector `V` on exit, expects `N - 1` indexed elements
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* @param {integer} incx - stride length for `X`
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* @param {Float64Array} out - array to store `alpha` and `tau`, first indexed element stores `alpha` and the second indexed element stores `tau`
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* @returns {void} overwrites the array `X` and `out` in place
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*
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* dlarfg( 4, X, 1, out );
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* // X =&gt; &lt;Float64Array&gt;[ ~0.19, ~0.28, ~0.37 ]
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* // out =&gt; &lt;Float64Array&gt;[ ~6.7, ~1.6 ]
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* // out =&gt; &lt;Float64Array&gt;[ ~-6.7, ~1.6 ]
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*/
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function dlarfg( N, X, incx, out ) {
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base( N, X, incx, 0, out, 1, 0 );
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<div class='footer quiet pad2 space-top1 center small'>
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Code coverage generated by
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<a href="https://istanbul.js.org/" target="_blank" rel="noopener noreferrer">istanbul</a>
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at 2025-05-29T11:24:56.192Z
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</div>
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<script src="../../../../prettify.js"></script>
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<script>

lapack/base/dlarfg/index.html

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<div class='footer quiet pad2 space-top1 center small'>
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Code coverage generated by
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<a href="https://istanbul.js.org/" target="_blank" rel="noopener noreferrer">istanbul</a>
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<script src="../../../../prettify.js"></script>
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lapack/base/dlarfg/index.js.html

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'use strict';
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&nbsp;
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/**
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* LAPACK routine to generate a real elementary reflector `H` of order `n` such that applying `H` to a vector `[alpha; x]` zeros out `x`.
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* LAPACK routine to generate a real elementary reflector `H` of order `N` such that applying `H` to a vector `[alpha; x]` zeros out `X`.
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*
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* ## Notes
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*
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* - `H` is a Householder matrix with the form `H = I - tau * [1; v] * [1, v^T]`, where `tau` is a scalar and `v` is a vector.
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* - the input vector is `[alpha; x]`, where `alpha` is a scalar and `x` is a real `(n-1)`-element vector.
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* - the input vector is `[alpha; x]`, where `alpha` is a scalar and `X` is a real `(n-1)`-element vector.
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* - the result of applying `H` to `[alpha; x]` is `[beta; 0]`, with `beta` being a scalar and the rest of the vector zeroed.
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* - if all elements of `x` are zero, then `tau = 0` and `H` is the identity matrix.
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* - otherwise, `1 &lt;= tau &lt;= 2` and `H` is orthogonal, i.e., `H^T * H = I`.
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* - if all elements of `X` are zero, then `tau = 0` and `H` is the identity matrix.
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* - otherwise, `1 &lt;= tau &lt;= 2`
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*
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* @module @stdlib/lapack/base/dlarfg
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*
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*
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* dlarfg( 4, X, 1, out );
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* // X =&gt; &lt;Float64Array&gt;[ ~0.19, ~0.28, ~0.37 ]
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* // out =&gt; &lt;Float64Array&gt;[ ~6.7, ~1.6 ]
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* // out =&gt; &lt;Float64Array&gt;[ ~-6.7, ~1.6 ]
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*
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* @example
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* var Float64Array = require( '@stdlib/array/float64' );
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*
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* dlarfg.ndarray( 4, X, 1, 0, out, 1, 0 );
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* // X =&gt; &lt;Float64Array&gt;[ ~0.19, ~0.28, ~0.37 ]
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* // out =&gt; &lt;Float64Array&gt;[ ~6.7, ~1.6 ]
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* // out =&gt; &lt;Float64Array&gt;[ ~-6.7, ~1.6 ]
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*/
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&nbsp;
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// MODULES //
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<div class='footer quiet pad2 space-top1 center small'>
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Code coverage generated by
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<a href="https://istanbul.js.org/" target="_blank" rel="noopener noreferrer">istanbul</a>
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at 2025-05-29T11:24:56.192Z
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</div>
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<script src="../../../../prettify.js"></script>
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<script>

lapack/base/dlarfg/main.js.html

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<div class='footer quiet pad2 space-top1 center small'>
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Code coverage generated by
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<a href="https://istanbul.js.org/" target="_blank" rel="noopener noreferrer">istanbul</a>
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at 2025-05-29T11:24:56.192Z
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lapack/base/dlarfg/ndarray.js.html

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// MAIN //
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&nbsp;
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/**
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* Generates a real elementary reflector `H` of order `n` such that applying `H` to a vector `[alpha; x]` zeros out `x`.
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* Generates a real elementary reflector `H` of order `N` such that applying `H` to a vector `[alpha; x]` zeros out `X` using alternative indexing semantics.
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*
226226
* ## Notes
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*
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* - `H` is a Householder matrix with the form `H = I - tau * [1; v] * [1, v^T]`, where `tau` is a scalar and `v` is a vector.
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* - the input vector is `[alpha; x]`, where `alpha` is a scalar and `x` is a real `(n-1)`-element vector.
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* - the input vector is `[alpha; x]`, where `alpha` is a scalar and `X` is a real `(n-1)`-element vector.
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* - the result of applying `H` to `[alpha; x]` is `[beta; 0]`, with `beta` being a scalar and the rest of the vector zeroed.
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* - if all elements of `x` are zero, then `tau = 0` and `H` is the identity matrix.
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* - otherwise, `1 &lt;= tau &lt;= 2` and `H` is orthogonal, i.e., `H^T * H = I`.
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* - if all elements of `X` are zero, then `tau = 0` and `H` is the identity matrix.
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* - otherwise, `1 &lt;= tau &lt;= 2`
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*
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* @param {NonNegativeInteger} N - order of matrix `A`
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* @param {Float64Array} X - overwritten by the vector `V` on exit
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* @param {NonNegativeInteger} N - number of rows/columns of the elementary reflector `H`
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* @param {Float64Array} X - overwritten by the vector `V` on exit, expects `N - 1` indexed elements
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* @param {integer} strideX - stride length for `X`
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* @param {NonNegativeInteger} offsetX - starting index of `X`
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* @param {Float64Array} out - array to store `alpha` and `tau`, first indexed element stores `alpha` and the second indexed element stores `tau`
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*
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* dlarfg( 4, X, 1, 0, out, 1, 0 );
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* // X =&gt; &lt;Float64Array&gt;[ ~0.19, ~0.28, ~0.37 ]
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* // out =&gt; &lt;Float64Array&gt;[ ~6.7, ~1.6 ]
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* // out =&gt; &lt;Float64Array&gt;[ ~-6.7, ~1.6 ]
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*/
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function dlarfg( N, X, strideX, offsetX, out, strideOut, offsetOut ) {
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base( N, X, strideX, offsetX, out, strideOut, offsetOut );
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<div class='footer quiet pad2 space-top1 center small'>
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Code coverage generated by
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<a href="https://istanbul.js.org/" target="_blank" rel="noopener noreferrer">istanbul</a>
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at 2025-05-29T11:24:56.192Z
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at 2025-05-30T08:00:31.945Z
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</div>
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<script src="../../../../prettify.js"></script>
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<script>

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