feat: Safe Breeding View

[heartskingu]

Branch Notes

This PR adds a clearer way to evaluate breeding pairs by introducing a relation/risk percentage, a dedicated Safe Breeding screen, and UI zoom/accessibility improvements.

What changed

• Fixed gender assignemnt
• Added a new Risk% column in the main cats table.
• Added a Safe Breeding sidebar view that ranks valid partners for a selected alive cat.
• Added deeper lineage math helpers to estimate inbreeding risk from shared ancestry paths.
• Added risk labels in Safe Breeding results:
  • 0-19%: Not Inbred
  • 20-49%: Slightly Inbred
  • 50-99%: Moderately Inbred
  • 100%+ (clamped to 100): Highly Inbred
• Added UI zoom controls in Settings:
  • Zoom In (Ctrl+= / Ctrl++)
  • Zoom Out (Ctrl+-)
  • Reset Zoom (Ctrl+0)
• Improved accessibility by enforcing minimum font sizes when scaling UI.
• Small visual/layout tuning (including font-size consistency updates).

Math logic

The branch calculates inbreeding risk using ancestry paths and converts that to a percentage for the UI.

1) Build ancestor data

• _ancestor_depths(cat) finds how many generations away each ancestor is.
• _ancestor_paths(cat) builds all unique upward paths from a cat to each ancestor.
• Paths are prevented from looping through the same cat twice.

2) Compute raw CoI (Coefficient of Inbreeding)

For each common ancestor between Cat A and Cat B:

• take every valid path from A -> ancestor
• combine it with every valid path from B -> ancestor
• reject combinations that reuse the same cat on both sides (except the common ancestor)
• add this weight to the total:

0.5 ** (sa + sb + 1)

Where:

• sa = number of edges from A to ancestor
• sb = number of edges from B to ancestor

So closer shared ancestors contribute more; farther ones contribute less.

3) Convert raw CoI to UI Risk%

Risk percent is normalized as:

Risk% = clamp((raw_coi / 0.25) * 100, 0, 100)

Meaning:

• raw CoI 0.25 maps to 100% risk
• values above that are capped at 100
• no relation stays near 0%

4) Shared ancestor metrics used in ranking

shared_ancestor_counts(a, b) returns:

• total_shared: all common ancestors found (within depth limit)
• recent_shared: common ancestors where both cats are within 3 generations

In Safe Breeding sorting:

• primary sort = lower Risk% first (safest on top)
• secondary tie-break uses a packed value (recent_shared * 1000 + total_shared) to penalize recent shared ancestry more heavily
• final tie-break = partner name

Safe Breeding view behavior

• Shows only alive cats.
• Filters out invalid pairs (same sex, self-pairing, etc.) using existing breeding rules.
• For each candidate, displays:
  • Cat
  • Risk%
  • Shared Anc.
  • "Children will be" risk label
• Clicking a result row switches focus to that cat.

[heartskingu]

@frankieg33 I've added a fix for the gender assignment logic in this PR just now