build(deps): Bump num-bigint from 0.4.6 to 0.5.1

[dependabot]

Bumps num-bigint from 0.4.6 to 0.5.1.

Changelog

Sourced from num-bigint's changelog.

Release 0.5.1 (2026-07-04)

• Fixed a regression in the B-Z division algorithm.

Contributors: @​cuviper

Release 0.5.0 (2026-07-02)

• Upgrade to rand v0.10 and/or v0.9, and split rand_core.
  • The former rand feature is now split into multiple features, rand_0_9, rand_core_0_9, rand_0_10, and rand_core_0_10, depending on the version and feature set you need.
  • The RandBigInt extension trait is now split into BigRng09 and BigRng010 for each version.
  • The gen_* methods are deprecated in favor of new random_* methods.
  • This is also a value-breaking release, as rand defines it.

Contributors: @​bionicles, @​cuviper, @​divergentdave

Release 0.4.8 (2026-07-04)

• Fixed a regression in the B-Z division algorithm.

Contributors: @​cuviper

Release 0.4.7 (2026-07-02)

• Inline single-digit values. This reduces heap allocations, and also enables const ONE, const NEG_ONE, and const fn new_const.
• Use divide and conquer in to_radix_digits, also implementing the Burnikel-Ziegler algorithm to speed up large divisions in general.
• Implement LowerBounded for BigUint.

Contributors: @​cp289, @​cuviper, @​hkalbasi, @​mikem8891, @​pRizz, @​tyilo, @​xtqqczze

Commits

• 33c59ba Merge pull request #348 from cuviper/bz-alg2-step3b
• 38b68f6 Release 0.5.1
• f4a43f5 Fix the missing part of the Burnikel-Ziegler algorithm
• ebfd89a Add failing tests for a bug in B-Z division
• 0ab95df Merge pull request #338 from cuviper/rand-0.10
• 33d6998 Release 0.5.0
• 84d05b7 Clean up manifests of ci crates
• f8daf56 Allow clippy::duplicate_mod where intended
• 022310a Rearrange the rand features to support both 0.9 and 0.10
• 537a036 ci: use the fallback resolver for deps
• Additional commits viewable in compare view

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[divviup-github-automation]

Auto-approving dependabot PR.

[jcjones]

num-rational's latest is 0.4.2, still requiring num-bigint ^0.4.0.

No 0.5-compatible release exists yet.

[divergentdave]

FYI we expose external types from both num-rational and num-bigint in our API, specifically in constructors for noise distributions. We have a Rational newtype as well, presumably to encapsulate external types, but we are not consistent about using it everywhere.