bench: refactor to use dynamic memory allocation in blas/base/caxpy

[ishwarthecodddr]

Resolves a part of #8643 .

Description

What is the purpose of this pull request?

This pull request replaces static memory allocation in C benchmarks with dynamic memory allocation in @stdlib/blas/base/caxpy

Related Issues

Does this pull request have any related issues?

[RFC]: replace static memory allocation of large arrays in C benchmarks with dynamic memory allocation (tracking issue) #8643

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.".

Used github copilot to understand where to make changes , concepts were already known through the examples given.

---

@stdlib-js/reviewers

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[stdlib-bot]

Coverage Report

Package	Statements	Branches	Functions	Lines
blas/base/caxpy	$\color{green}368/368$ $\color{green}+100.00%$	$\color{green}17/17$ $\color{green}+100.00%$	$\color{green}4/4$ $\color{green}+100.00%$	$\color{green}368/368$ $\color{green}+100.00%$

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

[kgryte]

LGTM

[kgryte]

Thank you for your contribution and congratulations on your first PR!