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feat: add C / Fortran implementation for blas/base/drotg #2264

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Description

What is the purpose of this pull request?

This PR proposes adding native C / Fortran implementations for @stdlib/blas/base/drotg

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@stdlib-js/reviewers

@stdlib-bot stdlib-bot added the BLAS Issue or pull request related to Basic Linear Algebra Subprograms (BLAS). label May 24, 2024
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Hey, @kgryte, I tried changing the Fortran implementation based on Lapack but am still facing the same issue. The C implementation works fine, but I believe there is an issue with the Fortran implementation for the test. In the test.native.js file, a few of the tests are failing, and the benchmarks for the Fortran code are also throwing errors. 

@kgryte kgryte added Feature Issue or pull request for adding a new feature. Needs Review A pull request which needs code review. Fortran Issue involves or relates to Fortran. C Issue involves or relates to C. Needs Changes Pull request which needs changes before being merged. labels Aug 1, 2024
@ShabiShett07 ShabiShett07 marked this pull request as draft July 4, 2025 06:19
@stdlib-bot stdlib-bot removed the Needs Review A pull request which needs code review. label Jul 4, 2025
@ShabiShett07 ShabiShett07 mentioned this pull request Jul 4, 2025
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/stdlib merge

@stdlib-bot stdlib-bot added the bot: In Progress Pull request is currently awaiting automation. label Jul 12, 2025
@stdlib-bot stdlib-bot removed the bot: In Progress Pull request is currently awaiting automation. label Jul 12, 2025
@ShabiShett07
refactor: update implementation
44aba3a
@ShabiShett07
bench: update benchmarking
44f1d82 
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bench: revert changes
4abf8fa 
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@ShabiShett07
chore: add comments and declarations in examples
d7d1c73 
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refactor: remove assign implementation
e54cf18 
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BLAS Issue or pull request related to Basic Linear Algebra Subprograms (BLAS). C Issue involves or relates to C. Feature Issue or pull request for adding a new feature. Fortran Issue involves or relates to Fortran. Needs Changes Pull request which needs changes before being merged.

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@aman-095 @ShabiShett07 @kgryte @stdlib-bot