[RFC]: add float16 support across the `@stdlib/array` namespace

[gururaj1512]

Description

This issue tracks the work required to complete first-class float16 data type integration across the @stdlib/array namespace.
Foundational core registries (such as dtypes, dtype, ctors, safe-casts, and promotion-rules) have already been updated to support the new float16 type. Because of this:

1. Only 3 packages require runtime code modifications (logic changes) to support float16.
2. All other pending packages work automatically at runtime via delegation to the already-updated foundational utilities. However, they still require JSDoc example additions, TypeScript declaration updates (docs/types/index.d.ts), README modifications, and test suite coverage expansion to explicitly verify and document float16 / Float16Array support.
   Below is the complete hierarchical and alphabetical list of packages in the namespace, annotated with their status and task type.

Package Checklist

• @stdlib/array (Top-Level Namespace)
  • @stdlib/array/ctors
  • @stdlib/array/convert — (Docs & Tests Only)
  • @stdlib/array/convert-same — (Docs & Tests Only)
  • @stdlib/array/dtype
  • @stdlib/array/dtypes
  • @stdlib/array/empty — (Docs & Tests Only)
  • @stdlib/array/empty-like — (Docs & Tests Only)
  • @stdlib/array/filled — (Docs & Tests Only)
  • @stdlib/array/filled-by — (Docs & Tests Only)
  • @stdlib/array/from-iterator — (Docs & Tests Only)
  • @stdlib/array/from-scalar — (Docs & Tests Only)
  • @stdlib/array/full — (Docs & Tests Only)
  • @stdlib/array/full-like — (Docs & Tests Only)
  • @stdlib/array/linspace — (Docs & Tests Only)
  • @stdlib/array/min-dtype — (Requires Code Changes)
  • @stdlib/array/mostly-safe-casts
  • @stdlib/array/nans — (Docs & Tests Only)
  • @stdlib/array/nans-like — (Docs & Tests Only)
  • @stdlib/array/next-dtype
  • @stdlib/array/one-to — (Docs & Tests Only)
  • @stdlib/array/one-to-like — (Docs & Tests Only)
  • @stdlib/array/ones — (Docs & Tests Only)
  • @stdlib/array/ones-like — (Docs & Tests Only)
  • @stdlib/array/place — (Docs & Tests Only)
  • @stdlib/array/pool — (Docs & Tests Only)
  • @stdlib/array/promotion-rules
  • @stdlib/array/put — (Docs & Tests Only)
  • @stdlib/array/reviver — (Requires Code Changes)
  • @stdlib/array/safe-casts
  • @stdlib/array/same-kind-casts
  • @stdlib/array/slice — (Docs & Tests Only)
  • @stdlib/array/take — (Docs & Tests Only)
  • @stdlib/array/to-fancy — (Docs & Tests Only)
  • @stdlib/array/to-json
  • @stdlib/array/typed
  • @stdlib/array/typed-ctors
  • @stdlib/array/typed-dtypes — (Docs & Tests Only)
  • @stdlib/array/typed-float-ctors
  • @stdlib/array/typed-float-dtypes — (Docs & Tests Only)
  • @stdlib/array/typed-real — (Docs & Tests Only)
  • @stdlib/array/typed-real-ctors
  • @stdlib/array/typed-real-dtypes — (Docs & Tests Only)
  • @stdlib/array/typed-real-float-ctors
  • @stdlib/array/typed-real-float-dtypes — (Docs & Tests Only)
  • @stdlib/array/zero-to — (Docs & Tests Only)
  • @stdlib/array/zero-to-like — (Docs & Tests Only)
  • @stdlib/array/zeros — (Docs & Tests Only)
  • @stdlib/array/zeros-like — (Docs & Tests Only)

---

• @stdlib/array/base (Base Operations Sub-Namespace)
  • @stdlib/array/base/getter — (Requires Code Changes)
  • @stdlib/array/base/setter
  • @stdlib/array/base/assert (Base Assertions Sub-Namespace)
    • @stdlib/array/base/assert/has-almost-equal-values — (Docs & Tests Only)
    • @stdlib/array/base/assert/has-almost-same-values — (Docs & Tests Only)
    • @stdlib/array/base/assert/has-equal-values — (Docs & Tests Only)
    • @stdlib/array/base/assert/has-same-values — (Docs & Tests Only)
    • @stdlib/array/base/assert/is-accessor-array — (Docs & Tests Only)
    • @stdlib/array/base/assert/is-boolean-data-type — (Docs & Tests Only)
    • @stdlib/array/base/assert/is-booleanarray — (Docs & Tests Only)
    • @stdlib/array/base/assert/is-complex-floating-point-data-type — (Docs & Tests Only)
    • @stdlib/array/base/assert/is-complex-typed-array — (Docs & Tests Only)
    • @stdlib/array/base/assert/is-complex128array — (Docs & Tests Only)
    • @stdlib/array/base/assert/is-complex64array — (Docs & Tests Only)
    • @stdlib/array/base/assert/is-data-type — (Docs & Tests Only)
    • @stdlib/array/base/assert/is-floating-point-data-type — (Docs & Tests Only)
    • @stdlib/array/base/assert/is-integer-data-type — (Docs & Tests Only)
    • @stdlib/array/base/assert/is-mostly-safe-data-type-cast — (Docs & Tests Only)
    • @stdlib/array/base/assert/is-numeric-data-type — (Docs & Tests Only)
    • @stdlib/array/base/assert/is-real-data-type — (Docs & Tests Only)
    • @stdlib/array/base/assert/is-real-floating-point-data-type — (Docs & Tests Only)
    • @stdlib/array/base/assert/is-safe-data-type-cast — (Docs & Tests Only)
    • @stdlib/array/base/assert/is-same-kind-data-type-cast — (Docs & Tests Only)
    • @stdlib/array/base/assert/is-signed-integer-data-type — (Docs & Tests Only)
    • @stdlib/array/base/assert/is-sorted-ascending — (Docs & Tests Only)
    • @stdlib/array/base/assert/is-unsigned-integer-data-type — (Docs & Tests Only)

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Checklist

• I have read and understood the Code of Conduct.
• Searched for existing issues and pull requests.
• The issue name begins with RFC:.