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feat: add lapack/base/dlange
#7195
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Coverage Report
The above coverage report was generated for the changes in this PR. |
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kgryte
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Left initial comments.
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| # dlange | ||
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| > LAPACK routine to compute the value of the one norm, or the frobenius norm, or the infinity norm, or the element with the largest absolute value of a real matrix `A`. |
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| > LAPACK routine to compute the value of the one norm, or the frobenius norm, or the infinity norm, or the element with the largest absolute value of a real matrix `A`. | |
| > LAPACK routine to compute the value of the one norm, the frobenius norm, the infinity norm, or the element with the largest absolute value of a real matrix `A`. |
Applies here and everywhere else in this PR.
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| <section class="intro"> | ||
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| The `dlange` routine computes the value of a specified norm of a real M-by-N matrix `A`. The norm to be computed is selected using the parameter `norm`, which may specify the **Max norm**, **One norm**, **Infinity norm**, or **Frobenius norm**. |
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| The `dlange` routine computes the value of a specified norm of a real M-by-N matrix `A`. The norm to be computed is selected using the parameter `norm`, which may specify the **Max norm**, **One norm**, **Infinity norm**, or **Frobenius norm**. | |
| This routine computes the value of a specified norm of a real M-by-N matrix `A`. |
| The function has the following parameters: | ||
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| - **order**: storage layout. | ||
| - **norm**: specifies the type of norm to be calculated, should be one of the following: `max`, `one`, `frobenius`, or `infinity`. |
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| - **norm**: specifies the type of norm to be calculated, should be one of the following: `max`, `one`, `frobenius`, or `infinity`. | |
| - **norm**: specifies the type of norm to be calculated, should be one of the following: `'max'`, `'one'`, `'frobenius'`, or `'infinity'`. |
For string literals, always enclose in single quotes. Otherwise, ambiguous the value type. Here, infinity could mean 'infinity' or the numeric literal infinity. Enclosing in quotes makes this explicit.
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| The function has the following additional parameters: | ||
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| - **norm**: specifies the type of norm to be calculated, should be one of the following: `max`, `one`, `frobenius`, or `infinity`. |
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Same comment.
| * @param {integer} strideA1 - stride of the first dimension of `A` | ||
| * @param {integer} strideA2 - stride of the second dimension of `A` | ||
| * @param {NonNegativeInteger} offsetA - starting index of `A` | ||
| * @param {Float64Array} work - work array, should have `N` indexed elements if row-major layout is used |
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| * @param {Float64Array} work - work array, should have `N` indexed elements if row-major layout is used | |
| * @param {Float64Array} work - workspace array |
| for ( i = 0; i < N; i++ ) { | ||
| work[ iw ] = 0.0; | ||
| iw += strideWork; | ||
| } |
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This can be replaced with a call to blas/ext/base/dfill.
| iw = offsetWork; | ||
| for ( i = 0; i < N; i++ ) { | ||
| temp = work[ iw ]; | ||
| if ( value < temp || isnan( temp ) ) { | ||
| value = temp; | ||
| } | ||
| iw += strideWork; | ||
| } |
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This can be replaced with a call to stats/strided/dmax.
| ia1 = offsetA; | ||
| for ( j = 0; j < N; j++ ) { | ||
| sum = dasum( M, A, strideA1, ia1 ); | ||
| if ( value < sum || isnan( sum ) ) { |
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If sum is NaN, we should immediately return, as value will never be less NaN.
| for ( i = 0; i < S1; i++ ) { | ||
| for ( j = 0; j < S2; j++ ) { | ||
| temp = A[ ia ]; | ||
| if ( value < temp || isnan( temp ) ) { |
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Same thing. If temp is NaN, we should immediately return NaN. No need continuing.
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| for ( i = 0; i < S1; i++ ) { | ||
| for ( j = 0; j < S2; j++ ) { | ||
| temp = A[ ia ]; |
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I believe this should be abs( A[ ia ] ). This should have been caught during testing, which means there is a gap in the tests.
| ia1 = offsetA; | ||
| for ( j = 0; j < M; j++ ) { | ||
| sum = dasum( N, A, strideA2, ia1 ); | ||
| if ( value < sum || isnan( sum ) ) { |
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Same thing return NaN handling.
| for ( i = 0; i < M; i++ ) { | ||
| work[ iw ] = 0.0; | ||
| iw += strideWork; | ||
| } |
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You can replace with a call to blas/ext/base/dfill.
| iw = offsetWork; | ||
| for ( i = 0; i < M; i++ ) { | ||
| temp = work[ iw ]; | ||
| if ( value < temp || isnan( temp ) ) { | ||
| value = temp; | ||
| } | ||
| iw += strideWork; | ||
| } |
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You can replace with a call to stats/strided/dmax.
| * var out = infinityNorm( 3, 4, A, 4, 1, 0, work, 1, 0 ); | ||
| * // returns 30.0 | ||
| */ | ||
| function infinityNorm( M, N, A, strideA1, strideA2, offsetA, work, strideWork, offsetWork ) { // eslint-disable-line max-len |
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Is it me or is the infinityNorm just the oneNorm with A transposed? If so, can we just consolidate implementations into a single function and then have oneNorm and infinityNorm be light wrappers which swap the strides as necessary?
| * var out = dlange( 'frobenius', 3, 4, A, 4, 1, 0, work, 1, 0 ); | ||
| * // returns ~25.5 | ||
| */ | ||
| function dlange( norm, M, N, A, strideA1, strideA2, offsetA, work, strideWork, offsetWork ) { // eslint-disable-line max-len |
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Rather than disable the lint rule multiple times in this file, just go ahead and disable once above the 'use strict' directive.
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lapack/base/dlangeRelated Issues
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