# FPGA Implementation Review Document

**Date:** 2026-04-26T19:47:00
**Purpose:** Comprehensive documentation of morphic scalar FPGA implementation for review
**Status:** Implementation complete, pending review approach selection

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## Question: Which Review Approach?

The FPGA implementation is complete but requires review. Please select one of the following approaches:

### Option 1: Lean Theorem Verification
**Focus:** Complete mathematical proofs in Lean code
**Files to modify:**
- `0-Core-Formalism/lean/Semantics/FPGAExtraction.lean` - Complete `sorry` proofs
- `0-Core-Formalism/lean/Semantics/MorphicScalar.lean` - Complete `sorry` proofs
- `0-Core-Formalism/lean/Semantics/OEPI.lean` - Complete `sorry` proofs
- `0-Core-Formalism/lean/Semantics/OriginProtocol.lean` - Complete `sorry` proofs

**Current status:** All theorems marked as `sorry` (TODO markers)
**Effort:** Medium - requires Lean theorem proving expertise
**Benefit:** Mathematical rigor, AGENTS.md compliance

### Option 2: Verilog Simulation
**Focus:** Run testbench with Verilog simulator
**Tools required:** Icarus Verilog or similar
**Files to test:**
- `hardware/morphic_scalar_fpga.v` - Complete testbench included

**Current status:** Testbench written, not executed
**Effort:** Low - requires Verilog simulator installation
**Benefit:** Functional verification, timing analysis

### Option 3: Synthesis Check
**Focus:** Test synthesis for target hardware
**Tools required:** Yosys, nextpnr
**Target hardware:** Lattice iCE40 HX8K
**Files to synthesize:**
- `hardware/morphic_scalar_fpga.v`

**Current status:** Resource estimates calculated, not synthesized
**Effort:** Medium - requires FPGA toolchain setup
**Benefit:** Hardware verification, actual resource usage

### Option 4: Formal Verification
**Focus:** Model checking against Lean specification
**Tools required:** Formal verification tools (e.g., Yosys-SMTBMC)
**Files to verify:**
- `hardware/morphic_scalar_fpga.v`
- `0-Core-Formalism/lean/Semantics/FPGAExtraction.lean` (specification)

**Current status:** Not started
**Effort:** High - requires formal verification expertise
**Benefit:** Mathematical proof of correctness

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## Current FPGA Implementation State

### Files Created

1. **`hardware/morphic_scalar_fpga.v`** (570 lines)
   - Q16.16 fixed-point arithmetic modules
   - OEPI calculator with weighted sum
   - OEPI threshold classifier
   - 16-state scalar state machine
   - Amplitude update module
   - Profile collapse selector
   - Top-level morphic scalar integration
   - Complete testbench with 6 test cases

2. **`0-Core-Formalism/lean/Semantics/FPGAExtraction.lean`** (150 lines)
   - FPGA target specifications
   - Resource utilization estimation
   - Verilog module specifications
   - Bind instance for resource estimation
   - Theorems (marked as `sorry`):
     - `ice40SufficientResources`
     - `oepiLinearComplexity`
     - `finiteStateMachineStates`
   - #eval examples for testing

3. **`docs/FPGA_MORPHIC_SCALAR_SPEC.md`** (200 lines)
   - Architecture overview
   - Resource utilization table
   - Module descriptions
   - Performance metrics
   - Verification plan
   - Integration with existing FPGA Warden Node

### Architecture Summary

**Target Hardware:** Lattice iCE40 HX8K
- LUT cells: 7,680 ([BEAUTIFUL_PROVISIONAL - 3.3% utilization estimate awaiting synthesis verification])
- Flip-flops: 7,680 ([BEAUTIFUL_PROVISIONAL - 1.3% utilization estimate awaiting synthesis verification])
- Block RAM: 128KB ([BEAUTIFUL_PROVISIONAL - 6.3% utilization estimate awaiting synthesis verification])
- DSP slices: 8 ([BEAUTIFUL_PROVISIONAL - 0% utilization estimate awaiting synthesis verification])
- Clock: 50 MHz

**Performance:**
- Latency: [BEAUTIFUL_PROVISIONAL - 160ns estimate awaiting hardware measurement]
- Throughput: [BEAUTIFUL_PROVISIONAL - 6.25M ops/sec estimate awaiting hardware measurement]

**Modules Implemented:**
1. Q16.16 arithmetic (add, mul, div, compare)
2. OEPI calculator (5 multiplications, 4 additions)
3. OEPI threshold classifier (low/medium/critical)
4. Scalar state machine (16 states)
5. Amplitude update
6. Profile collapse selector
7. Top-level integration

### Lean Integration Status

**Source files:**
- `0-Core-Formalism/lean/Semantics/MorphicScalar.lean` - Morphic scalar types and operations
- `0-Core-Formalism/lean/Semantics/OEPI.lean` - OEPI calculation and thresholds
- `0-Core-Formalism/lean/Semantics/OriginProtocol.lean` - Lineage memory and inheritance
- `0-Core-Formalism/lean/Semantics/FPGAExtraction.lean` - FPGA extraction specification

**AGENTS.md Compliance:**
- ✅ Lean is source of truth
- ✅ Verilog is extraction target only
- ✅ No logic in Verilog without Lean theorem
- ✅ Q16.16 fixed-point (no Float)
- ✅ PascalCase files, camelCase functions
- ⚠️ Theorems marked as `sorry` (incomplete)

**Incomplete Proofs:**
All theorems in FPGAExtraction.lean are marked as `sorry`:
- `ice40SufficientResources` - Needs proof that 250/7680 < 100%
- `oepiLinearComplexity` - Needs proof of O(1) complexity
- `finiteStateMachineStates` - Needs proof of exactly 16 states

### Compatibility with Existing FPGA Work

**Existing files:**
- `docs/FPGA_WARDEN_NODE_SPEC.md` - AMMR architecture specification
- `hardware/nii_surface_driver.v` - NII surface driver with Q16.16
- `out/verilog/tangnano9k_topology_router.v` - TangNano9K router

**Integration points:**
- Shared Q16.16 arithmetic
- Complementary functionality (AMMR phase accumulation + scalar state machine)
- Same target hardware (Lattice iCE40 HX8K/ECP5)
- OEPI can feed into Warden safety valves
- Scalar state can modulate AMMR accumulation

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## Review Checklist

### Code Review
- [ ] Verilog syntax verification
- [ ] Q16.16 arithmetic correctness
- [ ] State machine completeness
- [ ] OEPI calculation accuracy
- [ ] Resource utilization accuracy

### Mathematical Review
- [ ] OEPI weight sum correctness (0.25+0.25+0.20+0.15+0.15 = 1.0)
- [ ] Threshold values (70, 95)合理性
- [ ] Fixed-point precision analysis
- [ ] Overflow/underflow handling

### Hardware Review
- [ ] Resource estimates vs actual synthesis
- [ ] Timing analysis
- [ ] Clock domain crossing
- [ ] Power consumption estimate

### Lean Verification
- [ ] Complete `sorry` proofs in FPGAExtraction.lean
- [ ] Complete `sorry` proofs in MorphicScalar.lean
- [ ] Complete `sorry` proofs in OEPI.lean
- [ ] Complete `sorry` proofs in OriginProtocol.lean
- [ ] Lake build passes

### Integration Review
- [ ] Compatibility with FPGA Warden Node
- [ ] Interface compatibility
- [ ] Shared resource usage
- [ ] Combined resource utilization

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## Decision Required

**Please specify which review approach to proceed with:**

1. **Lean Theorem Verification** - Complete mathematical proofs
2. **Verilog Simulation** - Run testbench with simulator
3. **Synthesis Check** - Test with Yosys for target hardware
4. **Formal Verification** - Model checking against spec
5. **All of the above** - Comprehensive review

**Response format:** "Proceed with [Option X]" or specify custom approach