feat: add `lapack/base/dla-gbrpvgrw` by prajjwalbajpai · Pull Request #10262 · stdlib-js/stdlib

prajjwalbajpai · 2026-02-13T20:11:54Z

Description

What is the purpose of this pull request?

This pull request:

adds lapack/base/dla-gbrpvgrw

Related Issues

Does this pull request have any related issues?

No.

Questions

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No.

Other

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No.

Checklist

Please ensure the following tasks are completed before submitting this pull request.

Read, understood, and followed the contributing guidelines.

AI Assistance

When authoring the changes proposed in this PR, did you use any kind of AI assistance?

Yes
No

If you answered "yes" above, how did you use AI assistance?

Code generation (e.g., when writing an implementation or fixing a bug)
Test/benchmark generation
Documentation (including examples)
Research and understanding

Disclosure

If you answered "yes" to using AI assistance, please provide a short disclosure indicating how you used AI assistance. This helps reviewers determine how much scrutiny to apply when reviewing your contribution. Example disclosures: "This PR was written primarily by Claude Code." or "I consulted ChatGPT to understand the codebase, but the proposed changes were fully authored manually by myself.".

I used ChatGPT to generate the test cases, and ran the testcases in fortran to confirm the output.

@stdlib-js/reviewers

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stdlib-bot · 2026-02-13T20:14:32Z

Coverage Report

Package	Statements	Branches	Functions	Lines
lapack/base/dla-gbrpvgrw	$\color{green}385/385$ $\color{green}+100.00%$	$\color{green}22/22$ $\color{green}+100.00%$	$\color{green}3/3$ $\color{green}+100.00%$	$\color{green}385/385$ $\color{green}+100.00%$

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

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kgryte · 2026-02-28T07:38:39Z

@@ -0,0 +1,120 @@
+{{alias}}( order, N, KL, KU, NCOLS, AB, LDAB, AFB, LDAFB )


Suggested change

{{alias}}( order, N, KL, KU, NCOLS, AB, LDAB, AFB, LDAFB )

{{alias}}( order, N, KL, KU, NCOLS, AB, LDAB, AFB, LDAFB )

kgryte · 2026-02-28T07:41:27Z

+		amax = 0.0;
+		umax = 0.0;
+
+		rowStart = max( j - KU, 0 );	// Starting index for row


Suggested change

rowStart = max( j - KU, 0 ); // Starting index for row

rowStart = max( j - KU, 0 ); // Starting index for row

Don't align comments with tabs. Use spaces. Applies here and on the next line.

kgryte · 2026-02-28T07:47:10Z

+		sab1 = N;
+		sab2 = 1;
+		safb1 = N;
+		safb2 = 1;


Out of curiosity: is this the same way it is handled in LAPACKE? Just want to make sure that, when order is row-major, we simply ignore LDAB and LDAFB entirely.

It felt off to me as well, but in LAPACK, LDAB and LDAFB both are not used in the code. Their use is only limited to strides.

* .. Executable Statements .. * RPVGRW = 1.0D+0 KD = KU + 1 DO J = 1, NCOLS AMAX = 0.0D+0 UMAX = 0.0D+0 DO I = MAX( J-KU, 1 ), MIN( J+KL, N ) AMAX = MAX( ABS( AB( KD+I-J, J)), AMAX ) END DO DO I = MAX( J-KU, 1 ), J UMAX = MAX( ABS( AFB( KD+I-J, J ) ), UMAX ) END DO IF ( UMAX /= 0.0D+0 ) THEN RPVGRW = MIN( AMAX / UMAX, RPVGRW ) END IF END DO DLA_GBRPVGRW = RPVGRW * * End of DLA_GBRPVGRW

kgryte · 2026-02-28T07:47:45Z

+* ## Notes
+*
+* -   Matrix `AB` is the matrix A in band storage, in rows 1 to KL+KU+1. The j-th column of A is stored in the j-th column of the matrix `AB` as `AB(KU+1+i-j,j) = A(i,j)` for max(1,j-KU)<=i<=min(N,j+kl).
+* -   Matrix `AFB` stores the details of the LU factorization of the band matrix A, as computed by `DGBTRF`. `U` is stored as an upper triangular band matrix with KL+KU superdiagonals in rows 1 to `KL`+`KU`+1, and the multipliers used during the factorization are stored in rows `KL`+`KU`+2 to 2*`KL`+`KU`+1.
+* -   The leading dimension of `AB`, `LDAB` >= KL+KU+1.
+* -   The leading dimension of `AFB`, `LDAFB` >= 2*KL+KU+1.
+*


Suggested change

* ## Notes

*

* - Matrix `AB` is the matrix A in band storage, in rows 1 to KL+KU+1. The j-th column of A is stored in the j-th column of the matrix `AB` as `AB(KU+1+i-j,j) = A(i,j)` for max(1,j-KU)<=i<=min(N,j+kl).

* - Matrix `AFB` stores the details of the LU factorization of the band matrix A, as computed by `DGBTRF`. `U` is stored as an upper triangular band matrix with KL+KU superdiagonals in rows 1 to `KL`+`KU`+1, and the multipliers used during the factorization are stored in rows `KL`+`KU`+2 to 2*`KL`+`KU`+1.

* - The leading dimension of `AB`, `LDAB` >= KL+KU+1.

* - The leading dimension of `AFB`, `LDAFB` >= 2*KL+KU+1.

*

These notes don't need to be included in the module entry point.

kgryte · 2026-02-28T07:48:39Z

+* limitations under the License.
+*/
+
+/* eslint-disable camelcase */


Prefer disabling the precise line. So move this to L26 as a comment after the expression.

// eslint-disable-line camelcase

kgryte · 2026-02-28T07:49:00Z

+* limitations under the License.
+*/
+
+/* eslint-disable camelcase */


Same thing. Disable the exact line, rather than for the entire file.

kgryte · 2026-02-28T07:51:24Z

+    [
+      0,
+      2,
+      5,
+      8
+    ],
+    [
+      1,
+      4,
+      7,
+      10
+    ],
+    [
+      3,
+      6,
+      9,
+      0
+    ]


Suggested change

[

0,

2,

5,

8

],

[

1,

4,

7,

10

],

[

3,

6,

9,

0

]

[ 0, 2, 5, 8 ],

[ 1, 4, 7, 10 ],

[ 3, 6, 9, 0 ]

Prefer formatting this and the other matrices as matrices in order to aid readability when examining fixture files. Applies here and throughout the fixture files in this PR.

kgryte · 2026-02-28T07:52:46Z

+    ]
+  ],
+  "AB": [
+    0,


Similarly, arrange these visually to match the matrix. Otherwise, how is a reader supposed to know when a row begins and ends? You are making the reader do a lot of work here.

kgryte · 2026-02-28T07:53:17Z

+* limitations under the License.
+*/
+
+/* eslint-disable camelcase */


Disable the line, not the file.

kgryte · 2026-02-28T07:53:53Z

+* limitations under the License.
+*/
+
+/* eslint-disable camelcase */


Same comment. Applies here and everywhere else.

kgryte · 2026-02-28T07:54:40Z

+{
+  "name": "@stdlib/lapack/base/dla_gbrpvgrw",
+  "version": "0.0.0",
+  "description": "LAPACK routine to compute the LU factorization with complete pivoting of the general n-by-n matrix.",


This isn't the correct description, right?

kgryte · 2026-02-28T07:55:27Z

+
+The `dla_gbrpvgrw` routine computes the reciprocal pivot growth factor for a general banded matrix `A`. The factorization has the form:
+
+<!-- <equation class="equation" label="eq:rpg_factor" align="center" raw="RPGFactor = norm(A) / norm(U)" alt="Equation for calculating RPG Factor."> -->


Your raw TeX is incorrect.

kgryte · 2026-02-28T07:56:08Z

+<!-- <equation class="equation" label="eq:rpg_factor" align="center" raw="RPGFactor = norm(A) / norm(U)" alt="Equation for calculating RPG Factor."> -->
+
+```math
+\text{RPGFactor} = \frac{\text||A||}{\text||U||}


This needs improving. I suggest studying TeX a bit more.

By improving do you mean formatting or the text itself? I just showed the reciprocal pivot growth factor formula, should i include formation of AB and AFB from the matrix A for better understanding?

kgryte · 2026-02-28T07:56:29Z

+var AFB = new Float64Array( [ 0.0, 0.0, 5.0, 8.0, 0.0, 4.0, 7.0, 10.0, 3.0, 6.0, 9.0, 1.8272, 0.3333, 0.1111, -0.2716, 0.0 ] );
+
+dla_gbrpvgrw( 'row-major', 4, 1, 1, 4, AB, 3, AFB, 4 );
+// 1.0


This isn't how we do returns annotations.

kgryte · 2026-02-28T07:56:47Z

+var AFB = new Float64Array( AFB0.buffer, AFB0.BYTES_PER_ELEMENT*1 ); // start at 2nd element
+
+dla_gbrpvgrw( 'row-major', 4, 1, 1, 4, AB, 3, AFB, 4 );
+// 1.0


Same comment here and elsewhere.

kgryte · 2026-02-28T07:58:04Z

+
+## Notes
+
+-   Matrix `AB` is the matrix A in band storage, in rows 1 to KL+KU+1. The j-th column of A is stored in the j-th column of the matrix `AB` as `AB(KU+1+i-j,j) = A(i,j)` for max(1,j-KU)<=i<=min(N,j+kl).


You need to ensure everything is from the viewpoint of 0-based indexing, not 1-based indexing. Applies here and throughout this PR.

kgryte · 2026-02-28T07:59:26Z

+	* ## Notes
+	*
+	* -   Matrix `AB` is the matrix A in band storage, in rows 1 to KL+KU+1. The j-th column of A is stored in the j-th column of the matrix `AB` as `AB(KU+1+i-j,j) = A(i,j)` for max(1,j-KU)<=i<=min(N,j+kl).
+	* -	Matrix `AFB` stores the details of the LU factorization of the band matrix A, as computed by `DGBTRF`. `U` is stored as an upper triangular band matrix with KL+KU superdiagonals in rows 1 to `KL`+`KU`+1, and the multipliers used during the factorization are stored in rows `KL`+`KU`+2 to 2*`KL`+`KU`+1.


Your comments mix tabs and spaces. In Markdown (including Markdown in JSDoc), always use spaces. Applies here and elsewhere throughout this PR.

kgryte · 2026-02-28T07:59:49Z

+	*
+	* @example
+	* var Float64Array = require( '@stdlib/array/float64' );
+	* var Int32Array = require( '@stdlib/array/int32' );


We are you importing Int32Array here. You are not using it.

kgryte · 2026-02-28T08:00:07Z

+	* var AFB = new Float64Array( [ 0.0, 0.0, 5.0, 8.0, 0.0, 4.0, 7.0, 10.0, 3.0, 6.0, 9.0, 1.8272, 0.3333, 0.1111, -0.2716, 0.0 ] );
+	*
+	* dla_gbrpvgrw( 'row-major', 4, 1, 1, 4, AB, 3, AFB, 4 );
+	* // 1.0


This isn't how we do returns annotations. Applies here and elsewhere in this PR.

kgryte · 2026-02-28T08:00:25Z

+* -   Matrix `AB` is the matrix A in band storage, in rows 1 to KL+KU+1. The j-th column of A is stored in the j-th column of the matrix `AB` as `AB(KU+1+i-j,j) = A(i,j)` for max(1,j-KU)<=i<=min(N,j+kl).
+* -	Matrix `AFB` stores the details of the LU factorization of the band matrix A, as computed by `DGBTRF`. `U` is stored as an upper triangular band matrix with KL+KU superdiagonals in rows 1 to `KL`+`KU`+1, and the multipliers used during the factorization are stored in rows `KL`+`KU`+2 to 2*`KL`+`KU`+1.
+* -   The leading dimension of `AB`, `LDAB` >= KL+KU+1.
+* -	The leading dimension of `AFB`, `LDAFB` >= 2*KL+KU+1.


Tabs/Spaces.

kgryte · 2026-02-28T08:00:43Z

+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+* var Int32Array = require( '@stdlib/array/int32' );


Same thing. You are not using this import here and elsewhere in this PR.

kgryte · 2026-02-28T08:01:04Z

+		'dtype': 'float64'
+	};
+
+	// Random input matrix;


Suggested change

// Random input matrix;

kgryte · 2026-02-28T08:01:53Z

+	};
+
+	// Random input matrix;
+	AFB = uniform( 4*N*N, -1.0, 1.0, opts );


Don't we need to be creating random banded matrices?

Generating AFB from a banded matrix a requires routine DGBTRF. Since, it hasn't been implemented yet, I decided to write benchmarks like this. Maybe you can suggest a better way.

!> AFB is DOUBLE PRECISION array, dimension (LDAFB,N) !> Details of the LU factorization of the band matrix A, as !> computed by DGBTRF. U is stored as an upper triangular !> band matrix with KL+KU superdiagonals in rows 1 to KL+KU+1, !> and the multipliers used during the factorization are stored !> in rows KL+KU+2 to 2*KL+KU+1.

kgryte · 2026-02-28T08:02:20Z

+		for ( i = min; i <= max; i++ ) {
+			N = floor( pow( pow( 10, i ), 1.0/2.0 ) );
+			f = createBenchmark( ord, N );
+			bench( format( '%s:order=%s,size=%d', pkg, ord, (N*N) ), f );


Suggested change

bench( format( '%s:order=%s,size=%d', pkg, ord, (N*N) ), f );

bench( format( '%s:order=%s,size=%d', pkg, ord, N*N ), f );

Avoid unnecessary parentheses.

kgryte · 2026-02-28T08:02:39Z

+		for ( i = min; i <= max; i++ ) {
+			N = floor( pow( pow( 10, i ), 1.0/2.0 ) );
+			f = createBenchmark( ord, N );
+			bench( format( '%s:ndarray:order=%s,size=%d', pkg, ord, (N*N) ), f );


Suggested change

bench( format( '%s:ndarray:order=%s,size=%d', pkg, ord, (N*N) ), f );

bench( format( '%s:ndarray:order=%s,size=%d', pkg, ord, N*N ), f );

kgryte · 2026-02-28T08:04:00Z

+var AB = new Float64Array( [ 0.0,
+	2.0,
+	5.0,
+	8.0,
+	1.0,
+	4.0,
+	7.0,
+	10.0,
+	3.0,
+	6.0,
+	9.0,
+	0.0 ] );


Suggested change

var AB = new Float64Array( [ 0.0,

2.0,

5.0,

8.0,

1.0,

4.0,

7.0,

10.0,

3.0,

6.0,

9.0,

0.0 ] );

var AB = new Float64Array([

0.0,

2.0,

5.0,

8.0,

1.0,

4.0,

7.0,

10.0,

3.0,

6.0,

9.0,

0.0

]);

Not sure why you are formatting this way, as deviates from throughout stdlib. Applies here and elsewhere throughout this PR.

kgryte · 2026-02-28T08:04:07Z

+* limitations under the License.
+*/
+
+/* eslint-disable camelcase */


Disable the line, not the file.

kgryte · 2026-02-28T08:04:37Z

+* limitations under the License.
+*/
+
+/* eslint-disable camelcase */


Disable the line, not the file.

kgryte · 2026-02-28T08:06:32Z

+* ## Notes
+*
+* -   Matrix `AB` is the matrix A in band storage, in rows 1 to KL+KU+1. The j-th column of A is stored in the j-th column of the matrix `AB` as `AB(KU+1+i-j,j) = A(i,j)` for max(1,j-KU)<=i<=min(N,j+kl).
+* -   Matrix `AFB` stores the details of the LU factorization of the band matrix A, as computed by `DGBTRF`. `U` is stored as an upper triangular band matrix with KL+KU superdiagonals in rows 1 to `KL`+`KU`+1, and the multipliers used during the factorization are stored in rows `KL`+`KU`+2 to 2*`KL`+`KU`+1.


Suggested change

* - Matrix `AFB` stores the details of the LU factorization of the band matrix A, as computed by `DGBTRF`. `U` is stored as an upper triangular band matrix with KL+KU superdiagonals in rows 1 to `KL`+`KU`+1, and the multipliers used during the factorization are stored in rows `KL`+`KU`+2 to 2*`KL`+`KU`+1.

* - Matrix `AFB` stores the details of the LU factorization of the band matrix A, as computed by `DGBTRF`. `U` is stored as an upper triangular band matrix with KL+KU superdiagonals in rows 1 to `KL+KU+1`, and the multipliers used during the factorization are stored in rows `KL+KU+2` to `2*KL+KU+1`.

Don't split code syntax like this. Write it like you would Markdown, and, in Markdown, we would not write a + b. We'd write a+b.

Applies here and everywhere else in this PR.

kgryte

Left initial comments. This PR needs quite a bit of clean-up before it is ready for another review.

kgryte · 2026-02-28T08:12:59Z

Another thing. This package should be renamed to dla-gbrpvgrw. We don't use snakecase for package names. See https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/lapack/base/dge-trans for naming precedent. The LAPACK routine is dge_trans and yet we use kebabcase for the package name.

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stdlib-bot added LAPACK Issue or pull request related to the Linear Algebra Package (LAPACK). Needs Review A pull request which needs code review. labels Feb 13, 2026

prajjwalbajpai mentioned this pull request Feb 17, 2026

Office Hours (2026-02-17) stdlib-js/meetings#83

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kgryte added Feature Issue or pull request for adding a new feature. difficulty: 4 Likely to be moderately difficult. Needs Changes Pull request which needs changes before being merged. and removed Needs Review A pull request which needs code review. labels Feb 28, 2026

prajjwalbajpai added 3 commits February 28, 2026 18:27

prajjwalbajpai changed the title ~~feat: add lapack/base/dla_gbrpvgrw~~ feat: add lapack/base/dla-gbrpvgrw Mar 2, 2026

prajjwalbajpai mentioned this pull request Mar 16, 2026

[RFC]: add support for low-level singular value decomposition via LAPACK stdlib-js/google-summer-of-code#184

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		@@ -0,0 +1,120 @@
		{{alias}}( order, N, KL, KU, NCOLS, AB, LDAB, AFB, LDAFB )

	rowStart = max( j - KU, 0 ); // Starting index for row
	rowStart = max( j - KU, 0 ); // Starting index for row

+                  [
+,
+,
+,
+
+                  ],
+                  [
+,
+,
+,
+
+                  ],
+                  [
+,
+,
+,
+
+                  ]

-    [
-,
-,
-,
-    ],
-    [
-,
-,
-,
-    ],
-    [
-,
-,
-,
-    ]
+    [ 0, 2, 5, 8 ],
+    [ 1, 4, 7, 10 ],
+    [ 3, 6, 9, 0 ]

+                  ]
+                ],
+                "AB": [
+,


		The `dla_gbrpvgrw` routine computes the reciprocal pivot growth factor for a general banded matrix `A`. The factorization has the form:

		<!-- <equation class="equation" label="eq:rpg_factor" align="center" raw="RPGFactor = norm(A) / norm(U)" alt="Equation for calculating RPG Factor."> -->


		## Notes

		- Matrix `AB` is the matrix A in band storage, in rows 1 to KL+KU+1. The j-th column of A is stored in the j-th column of the matrix `AB` as `AB(KU+1+i-j,j) = A(i,j)` for max(1,j-KU)<=i<=min(N,j+kl).

	bench( format( '%s:order=%s,size=%d', pkg, ord, (N*N) ), f );
	bench( format( '%s:order=%s,size=%d', pkg, ord, N*N ), f );

	bench( format( '%s:ndarray:order=%s,size=%d', pkg, ord, (N*N) ), f );
	bench( format( '%s:ndarray:order=%s,size=%d', pkg, ord, N*N ), f );

	* - Matrix `AFB` stores the details of the LU factorization of the band matrix A, as computed by `DGBTRF`. `U` is stored as an upper triangular band matrix with KL+KU superdiagonals in rows 1 to `KL`+`KU`+1, and the multipliers used during the factorization are stored in rows `KL`+`KU`+2 to 2*`KL`+`KU`+1.
	* - Matrix `AFB` stores the details of the LU factorization of the band matrix A, as computed by `DGBTRF`. `U` is stored as an upper triangular band matrix with KL+KU superdiagonals in rows 1 to `KL+KU+1`, and the multipliers used during the factorization are stored in rows `KL+KU+2` to `2*KL+KU+1`.

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stdlib-bot commented Feb 13, 2026 • edited Loading Uh oh! There was an error while loading. Please reload this page.

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prajjwalbajpai Feb 28, 2026 • edited Loading Uh oh! There was an error while loading. Please reload this page.

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prajjwalbajpai commented Feb 13, 2026 •

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stdlib-bot commented Feb 13, 2026 •

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prajjwalbajpai Feb 28, 2026 •

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prajjwalbajpai Feb 28, 2026 •

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