feat: add C implementation for blas/ext/base/ndarray/dcartesian-power

[ujjwalv01]

Resolves a part of #14819

Description

What is the purpose of this pull request?

This pull request:

• adds a native C implementation for computing the Cartesian power for a double-precision floating-point ndarray (dcartesian-power).
• updates the test suite (test.js, test.main.js, test.native.js) and C benchmarks/examples to cover and utilize the new native C addon.

Related Issues

Does this pull request have any related issues?

This pull request has the following related issues:

• #[Issue Number]

Questions

Any questions for reviewers of this pull request?

No.

Other

Any other information relevant to this pull request? This may include screenshots, references, and/or implementation notes.

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 consulted an AI assistant to help structure and generate the test files (test.main.js, test.native.js) and benchmark files required to test the native C addon. The core logic and implementation were authored manually by myself.

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[stdlib-bot]

Coverage Report

Package	Statements	Branches	Functions	Lines
blas/ext/base/ndarray/dcartesian-power	$\\color{green}232/232$ $\\color{green}+0.00\\%$	$\\color{green}7/7$ $\\color{green}+0.00\\%$	$\\color{green}2/2$ $\\color{green}+0.00\\%$	$\\color{green}232/232$ $\\color{green}+0.00\\%$

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