REFACTOR: Phase 1 audit - MB01XX test inventory

- Document all 43 existing tests
- Confirm no non-existent function tests (already clean)
- Confirm no unwrapped function tests (already clean)
- Identify 2 wrapped but untested: MB01PD, MB01QD
- All tests failing: signature mismatches
- Foundation for Phase 2-8 fixes

🤖 Generated with [Claude Code](https://claude.com/claude-code)

Co-Authored-By: Claude <noreply@anthropic.com>

Author: jamestjsp

MB01XX_PHASE1_INVENTORY.md

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+# MB01XX Test Inventory - Phase 1 Audit
+
+**Date:** 2025-11-12
+**Branch:** feat/phase-1-audit-cleanup
+**Status:** Foundation for multi-phase test fixes
+
+---
+
+## Summary
+
+**Total Tests:** 43
+**All Tests:** Failing with signature mismatches
+**Non-existent Functions:** 0 (already removed)
+**Unwrapped Functions:** 0 in tests (MB01KD, MB01MD, MB01ND not wrapped, not tested)
+
+---
+
+## Test Inventory by Function
+
+### Phase 2: Simple Functions (No Workspace) - 6 tests
+
+| Function | Tests | Signature | Status |
+|----------|-------|-----------|--------|
+| **MB01SD** | 3 | `mb01sd(jobs, m, n, a_obj, r_obj, c_obj) → a_obj` | Needs 6 args, tests use 5 |
+| **MB01SS** | 2 | `mb01ss(jobs, uplo, n, a_obj, d_obj) → a_obj` | Needs check |
+| **MB01XD** | 2 | `mb01xd(m, n, a_obj, b_obj) → (b_obj, info)` | Needs check |
+| **MB01XY** | 2 | `mb01xy(uplo, n, a_obj) → (a_obj, info)` | Needs check |
+
+### Phase 3: Scaling/Normalization - 0 tests
+| Function | Tests | Wrapped? | Notes |
+|----------|-------|----------|-------|
+| **MB01PD** | 0 | ✓ | Missing tests |
+| **MB01QD** | 0 | ✓ | Missing tests |
+
+### Phase 4: Symmetric/Skew-symmetric Transformations - 8 tests
+
+| Function | Tests | Signature | Status |
+|----------|-------|-----------|--------|
+| **MB01LD** | 2 | `mb01ld(uplo, trans, m, n, k, alpha, beta, r_obj, a_obj, x_obj, dwork_obj) → (r_obj, x_obj, info)` | Needs 11 args |
+| **MB01RB** | 2 | `mb01rb(uplo, trans, n, k, alpha, beta, a_obj, b_obj, c_obj) → (c_obj, info)` | Needs check |
+| **MB01RD** | 1 | `mb01rd(uplo, trans, n, k, alpha, beta, b_obj, a_obj) → (a_obj, info)` | Needs check |
+| **MB01RH** | 1 | Needs check | Wrapped, untested properly |
+| **MB01RT** | 1 | Needs check | Wrapped, untested properly |
+| **MB01RU** | 1 | Needs check | Wrapped, untested properly |
+| **MB01RW** | 1 | Needs check | Wrapped, untested properly |
+| **MB01RX** | 1 | Needs check | Wrapped, untested properly |
+| **MB01RY** | 1 | Needs check | Wrapped, untested properly |
+
+### Phase 5: Hessenberg Operations - 14 tests
+
+| Function | Tests | Wrapped? | Status |
+|----------|-------|----------|--------|
+| **MB01OC** | 1 | ✓ | Signature mismatch |
+| **MB01OD** | 1 | ✓ | Signature mismatch |
+| **MB01OE** | 1 | ✓ | Signature mismatch |
+| **MB01OH** | 1 | ✓ | Signature mismatch |
+| **MB01OO** | 1 | ✓ | Signature mismatch |
+| **MB01OS** | 1 | ✓ | Signature mismatch |
+| **MB01OT** | 1 | ✓ | Signature mismatch |
+| **MB01TD** | 1 | ✓ | Signature mismatch |
+| **MB01UD** | 1 | ✓ | Signature mismatch |
+| **MB01UW** | 1 | ✓ | Signature mismatch |
+| **MB01UX** | 2 | ✓ | Signature mismatch |
+| **MB01UY** | 2 | ✓ | Signature mismatch |
+
+### Phase 6: Special Operations - 4 tests
+
+| Function | Tests | Wrapped? | Status |
+|----------|-------|----------|--------|
+| **MB01VD** | 1 | ✓ | Signature mismatch |
+| **MB01WD** | 2 | ✓ | Signature mismatch |
+| **MB01YD** | 2 | ✓ | Signature mismatch |
+| **MB01ZD** | 2 | ✓ | Signature mismatch |
+
+### Phase 7: Complex Function - 2 tests
+
+| Function | Tests | Wrapped? | Status |
+|----------|-------|----------|--------|
+| **MB01UZ** | 2 | ✓ | Signature mismatch (complex) |
+
+---
+
+## Functions NOT Tested (but wrapped)
+
+Per MB01XX_SIGNATURE_REFERENCE.md, these exist in extension_mb.c but have no tests:
+
+1. **MB01PD** - Safe range scaling (wrapped)
+2. **MB01QD** - Scale by CTO/CFROM (wrapped)
+
+---
+
+## Functions NOT Wrapped
+
+Per reference, these have NO Python wrappers:
+
+1. **MB01KD** - Skew-symmetric rank 2k
+2. **MB01MD** - Skew-symmetric matrix-vector
+3. **MB01ND** - Skew-symmetric rank 2
+
+---
+
+## Phase 1 Deliverables
+
+✓ No non-existent function tests to remove
+✓ No unwrapped function tests to skip
+✓ Test inventory created
+✓ Documented 43 failing tests
+✓ Identified 2 wrapped but untested functions (MB01PD, MB01QD)
+
+**Next:** Phase 2 - Fix simple functions (MB01SD, MB01SS, MB01XD, MB01XY)