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feat: add lapack/base/dlascl #7515

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Description

What is the purpose of this pull request?

This pull request:

  • adds lapack/base/dlascl

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@aayush0325
feat: add lapack/base/dlascl
10e8866 
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@aayush0325 aayush0325 marked this pull request as draft June 29, 2025 10:27
@stdlib-bot stdlib-bot added LAPACK Issue or pull request related to the Linear Algebra Package (LAPACK). Needs Review A pull request which needs code review. and removed Needs Review A pull request which needs code review. labels Jun 29, 2025
@aayush0325 aayush0325 added GSoC Google Summer of Code. gsoc: 2025 Google Summer of Code (2025). labels Jun 29, 2025
@aayush0325
feat: add main exports
5e0cb56 
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test: add initial tests
543cbc7 
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stdlib-bot commented Jun 30, 2025 •
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Coverage Report

Package Statements Branches Functions Lines
lapack/base/dlascl $\color{red}802/818$
$\color{green}+98.04\%$ 		$\color{red}92/98$
$\color{green}+93.88\%$ 		$\color{green}10/10$
$\color{green}+100.00\%$ 		$\color{red}802/818$
$\color{green}+98.04\%$

The above coverage report was generated for the changes in this PR.

@aayush0325
test: update imports
6420a10 
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@aayush0325
test: add some tests
9e43ff5
kgryte
kgryte reviewed Jun 30, 2025
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lib/node_modules/@stdlib/lapack/base/dlascl/lib/base.js Outdated
ia += da0;
}
ia += da1;
}
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Suggested change
}
}
continue;

Same comment for below. No need to perform additional branching below if we do not need to.

kgryte
kgryte reviewed Jun 30, 2025
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@aayush0325 aayush0325 mentioned this pull request Jun 30, 2025
Open
aayush0325 added 15 commits July 6, 2025 08:31
@aayush0325
test: update lda validation
9cf127e 
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docs: add ts files
938d704 
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docs: add examples
ec09f0f 
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docs: add readme
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bench: add benchmarks
cd982b0 
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test: add tests
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test: add tests
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test: add all tests
31b4286
@aayush0325
test: add ndarray tests
1940240 
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chore: cleanup
f60ca96 
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refactor: split base into functions
2f26be3 
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refactor: add cont statements
b30f33f 
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@aayush0325 aayush0325 marked this pull request as ready for review July 6, 2025 20:56
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refactor: optimise loops
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kgryte
kgryte reviewed Jul 9, 2025
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lib/node_modules/@stdlib/lapack/base/dlascl/README.md

# dlascl

> LAPACK routine to multiply a real M by N matrix `A` by a real scalar `CTO/CFROM`.
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@kgryte kgryte Jul 9, 2025 •
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> LAPACK routine to multiply a real M by N matrix `A` by a real scalar `CTO/CFROM`.
> LAPACK routine to multiply a double-precision floating-point M-by-N matrix `A` by a double-precision floating-point scalar.

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lib/node_modules/@stdlib/lapack/base/dlascl/README.md
# dlascl

> LAPACK routine to multiply a real M by N matrix `A` by a real scalar `CTO/CFROM`.

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I suggest adding an intro section stating something like:

This routine multiplies each element of an M-by-N matrix A by a scalar \alpha

$$B = \alpha \cdot A = \alpha \cdot \begin{bmatrix} a_{11} a_{12} \ldots a_{0N} && ... \end{bmatrix} = \begin{bmatrix} \alpha a_{11} \alpha a_{12} \ldots \alpha a_{0N} && ... \end{bmatrix}$$

In order to more readily avoid underflow/overflow, this routine chooses to represent \alpha as the product of

$$\alpha = \beta \cdot \frac{1}{\gamma}$$

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lib/node_modules/@stdlib/lapack/base/dlascl/README.md
var dlascl = require( '@stdlib/lapack/base/dlascl' );
```

#### dlascl( order, type, KL, KU, CFROM, CTO, M, N, A, LDA )
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#### dlascl( order, type, KL, KU, CFROM, CTO, M, N, A, LDA )
#### dlascl( order, type, KL, KU, \gamma, \beta, M, N, A, LDA )

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Use the actual greek characters.

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In JSDoc, use gamma and beta.

kgryte
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lib/node_modules/@stdlib/lapack/base/dlascl/README.md
The function has the following parameters:

- **order**: storage layout.
- **type**: specifies the type of matrix `A` ( should be one of these: `general`, `upper`, `lower`, `upper-hessenberg`, `symmetric-banded-lower`, `symmetric-banded-upper` or `banded` ).
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- **type**: specifies the type of matrix `A` ( should be one of these: `general`, `upper`, `lower`, `upper-hessenberg`, `symmetric-banded-lower`, `symmetric-banded-upper` or `banded` ).
- **type**: specifies the type of matrix `A`. Must be one of the following: `'general'`, `'upper'`, `'lower'`, `'upper-hessenberg'`, `'symmetric-banded-lower'`, `'symmetric-banded-upper'`, or `'banded'`.

kgryte
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lib/node_modules/@stdlib/lapack/base/dlascl/README.md
## Notes

- `dlascl()` corresponds to the [LAPACK][lapack] routine [`dlascl`][lapack-dlascl].
- If `type` is `banded`, `symmetric-banded-lower` or `symmetric-banded-upper` the matrix should be stored in the [`Band storage`][lapack-band-storage] format.
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- If `type` is `banded`, `symmetric-banded-lower` or `symmetric-banded-upper` the matrix should be stored in the [`Band storage`][lapack-band-storage] format.
- If `type` is `'banded'`, `'symmetric-banded-lower'`, or `'symmetric-banded-upper'`, the matrix should be stored in the [band storage][lapack-band-storage] format.

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May be good to provide a brief schematic using math equations in terms of what is meant.

kgryte
kgryte reviewed Jul 9, 2025
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lib/node_modules/@stdlib/lapack/base/dlascl/README.md
- **type**: specifies the type of matrix `A` ( should be one of these: `general`, `upper`, `lower`, `upper-hessenberg`, `symmetric-banded-lower`, `symmetric-banded-upper` or `banded` ).
- **KL**: lower band width of `A`. Referenced only if type is `symmetric-banded-lower` or `banded`.
- **KU**: upper band width of `A`. Referenced only if type is `symmetric-banded-upper` or `banded`.
- **CFROM**: the matrix `A` is multiplied by `CTO / CFROM`.
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- **CFROM**: the matrix `A` is multiplied by `CTO / CFROM`.
- **gamma**: the matrix `A` is multiplied by `beta/gamma`.

kgryte
kgryte reviewed Jul 9, 2025
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lib/node_modules/@stdlib/lapack/base/dlascl/README.md
Comment on lines +59 to +60
If `type` is `banded`, `symmetric-banded-lower` or `symmetric-banded-upper` the matrix should be stored in the [`Band storage`][lapack-band-storage] format.

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If `type` is `banded`, `symmetric-banded-lower` or `symmetric-banded-upper` the matrix should be stored in the [`Band storage`][lapack-band-storage] format.

kgryte
kgryte reviewed Jul 9, 2025
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lib/node_modules/@stdlib/lapack/base/dlascl/README.md
Comment on lines +68 to +71
// Initial arrays...
var A0 = new Float64Array( [ 0.0, 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );

// Create offset views...
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// Initial arrays...
var A0 = new Float64Array( [ 0.0, 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
// Create offset views...
// Initial array:
var A0 = new Float64Array( [ 0.0, 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
// Create offset view:

kgryte
kgryte reviewed Jul 9, 2025
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lib/node_modules/@stdlib/lapack/base/dlascl/README.md

- **order**: storage layout.
- **type**: specifies the type of matrix `A` ( should be one of these: `general`, `upper`, `lower`, `upper-hessenberg`, `symmetric-banded-lower`, `symmetric-banded-upper` or `banded` ).
- **KL**: lower band width of `A`. Referenced only if type is `symmetric-banded-lower` or `banded`.
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- **KL**: lower band width of `A`. Referenced only if type is `symmetric-banded-lower` or `banded`.
- **KL**: lower bandwidth of `A` (i.e., the number of sub-diagonals). Referenced only if type is `symmetric-banded-lower` or `banded`.

kgryte
kgryte reviewed Jul 9, 2025
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lib/node_modules/@stdlib/lapack/base/dlascl/README.md
- **order**: storage layout.
- **type**: specifies the type of matrix `A` ( should be one of these: `general`, `upper`, `lower`, `upper-hessenberg`, `symmetric-banded-lower`, `symmetric-banded-upper` or `banded` ).
- **KL**: lower band width of `A`. Referenced only if type is `symmetric-banded-lower` or `banded`.
- **KU**: upper band width of `A`. Referenced only if type is `symmetric-banded-upper` or `banded`.
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- **KU**: upper band width of `A`. Referenced only if type is `symmetric-banded-upper` or `banded`.
- **KU**: upper bandwidth of `A` (i.e., the number of super-diagonals). Referenced only if type is `symmetric-banded-upper` or `banded`.

kgryte
kgryte reviewed Jul 9, 2025
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lib/node_modules/@stdlib/lapack/base/dlascl/README.md
Comment on lines +105 to +106
If `type` is `banded`, `symmetric-banded-lower` or `symmetric-banded-upper` the matrix should be stored in the [`Band storage`][lapack-band-storage] format.

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If `type` is `banded`, `symmetric-banded-lower` or `symmetric-banded-upper` the matrix should be stored in the [`Band storage`][lapack-band-storage] format.

kgryte
kgryte reviewed Jul 9, 2025
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lib/node_modules/@stdlib/lapack/base/dlascl/README.md
// A => <Float64Array>[ 2.0, 4.0, 6.0, 8.0, 10.0, 12.0 ]
```

The function has the following additional parameters:
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The function has the following additional parameters:
The function has the following parameters:

kgryte
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lib/node_modules/@stdlib/lapack/base/dlascl/lib/base.js
k3 = ( 2 * KL ) + KU;
k4 = KL + KU + M - 1;
ia = offsetA;

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I suggest creating separate loops for row and column major.

kgryte
kgryte reviewed Jul 9, 2025
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lib/node_modules/@stdlib/lapack/base/dlascl/lib/base.js
* Multiplies a real M by N symmetric banded lower matrix `A` by a real scalar `mul`.
*
* @private
* @param {NonNegativeInteger} KL - lower band width of `A`
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* @param {NonNegativeInteger} KL - lower band width of `A`
* @param {NonNegativeInteger} KL - lower bandwidth of `A` (i.e., number of sub-diagonals)

kgryte
kgryte reviewed Jul 9, 2025
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lib/node_modules/@stdlib/lapack/base/dlascl/lib/base.js
da0 = o.sx[ 0 ];
da1 = o.sx[ 1 ] - ( S0 * o.sx[ 0 ] );

// Set the pointers to the first indexed elements in the respective matrices...
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// Set the pointers to the first indexed elements in the respective matrices...
// Set the pointer to the first indexed element:

Applies here and anywhere else, as only one pointer.

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