feat(phase161): Add Analyzer Box design and representative function selection

Phase 161 Task 2 & 3 completion:

**Task 2: Analyzer Box Design** (phase161_analyzer_box_design.md)
- Defined 3 core analyzer Boxes with clear responsibilities:
  1. JsonParserBox: Low-level JSON parsing (reusable utility)
  2. MirAnalyzerBox: Primary MIR v1 semantic analysis (14 methods)
  3. JoinIrAnalyzerBox: JoinIR v0 compatibility layer
- Comprehensive API contracts for all methods:
  - validateSchema(), summarize_function(), list_phis(), list_loops(), list_ifs()
  - propagate_types(), reachability_analysis(), dump methods
- Design principles applied: 箱化, 境界作成, Fail-Fast, 遅延シングルトン
- 5-stage implementation roadmap (Phase 161-2 through 161-5)
- Key algorithms documented: PHI detection, loop detection, if detection, type propagation

**Task 3: Representative Function Selection** (phase161_representative_functions.md)
- Formally selected 5 representative functions covering all patterns:
  1. if_simple: Basic if/else with PHI merge ( Simple)
  2. loop_simple: Loop with back edge and loop-carried PHI ( Simple)
  3. if_loop: Nested if inside loop with multiple PHI ( Medium)
  4. loop_break: Loop with break statement and multiple exits ( Medium)
  5. type_prop: Type propagation through loop arithmetic ( Medium)
- Each representative validates specific analyzer capabilities
- Selection criteria documented for future extensibility
- Validation strategy for Phase 161-2+ implementation

Representative test files will be created in local_tests/phase161/
(not committed due to .gitignore, but available for development)

Next: Phase 161 Task 4 - Implement basic MirAnalyzerBox on rep1_if_simple and rep2_loop_simple

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

Co-Authored-By: Claude <noreply@anthropic.com>
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# Phase 161 Task 2: Analyzer Box Design (JoinIrAnalyzerBox / MirAnalyzerBox)
**Status**: 🎯 **DESIGN PHASE** - Defining .hako Analyzer Box structure and responsibilities
**Objective**: Design the foundational .hako Boxes for analyzing Rust JSON MIR/JoinIR data, establishing clear responsibilities and API contracts.
---
## Executive Summary
Phase 161 aims to port JoinIR analysis logic from Rust to .hako. The first step was creating a complete JSON format inventory (Task 1, completed). Now we design the .hako Box architecture that will consume this data.
**Key Design Decision**: Create **TWO specialized Analyzer Boxes** with distinct, non-overlapping responsibilities:
1. **MirAnalyzerBox**: Analyzes MIR JSON v1 (primary)
2. **JoinIrAnalyzerBox**: Analyzes JoinIR JSON v0 (secondary, for compatibility)
Both boxes will share a common **JsonParserBox** utility for low-level JSON parsing operations.
---
## 1. Core Architecture: Box Responsibilities
### 1.1 JsonParserBox (Shared Utility)
**Purpose**: Low-level JSON parsing and traversal (reusable across both analyzers)
**Scope**: Single-minded JSON access without semantic analysis
**Responsibilities**:
- Parse JSON text into MapBox/ArrayBox structure
- Provide recursive accessor methods: `get()`, `getArray()`, `getInt()`, `getString()`
- Handle type conversions safely with nullability
- Provide iteration helpers: `forEach()`, `map()`, `filter()`
**Key Methods**:
```
birth(jsonText) // Parse JSON from string
get(path: string): any // Get nested value by dot-notation (e.g., "functions/0/blocks")
getArray(path): ArrayBox // Get array at path with type safety
getString(path): string // Get string with default ""
getInt(path): integer // Get integer with default 0
getBool(path): boolean // Get boolean with default false
```
**Non-Scope**: Semantic analysis, MIR-specific validation, JoinIR-specific knowledge
---
### 1.2 MirAnalyzerBox (Primary Analyzer)
**Purpose**: Analyze MIR JSON v1 according to Phase 161 specifications
**Scope**: All MIR-specific analysis operations
**Responsibilities**:
1. **Schema Validation**: Verify MIR JSON has required fields (schema_version, functions, cfg)
2. **Instruction Type Detection**: Identify instruction types (14 types in MIR v1)
3. **PHI Detection**: Identify PHI instructions and extract incoming values
4. **Loop Detection**: Identify loops via backward edge analysis (CFG)
5. **If Detection**: Identify conditional branches and PHI merge points
6. **Type Analysis**: Propagate type hints through PHI/BinOp/Compare operations
7. **Reachability Analysis**: Mark unreachable blocks (dead code detection)
**Key Methods** (Single-Function Analysis):
```
birth(mirJsonText) // Parse MIR JSON
// === Schema Validation ===
validateSchema(): boolean // Check MIR v1 structure
// === Function-Level Analysis ===
summarize_function(funcIndex: integer): MapBox // Returns:
// {
// name: string,
// params: integer,
// blocks: integer,
// instructions: integer,
// has_loops: boolean,
// has_ifs: boolean,
// has_phis: boolean
// }
// === Instruction Detection ===
list_instructions(funcIndex): ArrayBox // Returns array of:
// {
// block_id: integer,
// inst_index: integer,
// op: string,
// dest: integer (ValueId),
// src1, src2: integer (ValueId)
// }
// === PHI Analysis ===
list_phis(funcIndex): ArrayBox // Returns array of PHI instructions:
// {
// block_id: integer,
// dest: integer (ValueId),
// incoming: ArrayBox of
// [value_id, from_block_id]
// }
// === Loop Detection ===
list_loops(funcIndex): ArrayBox // Returns array of loop structures:
// {
// header_block: integer,
// exit_block: integer,
// back_edge_from: integer,
// contains_blocks: ArrayBox
// }
// === If Detection ===
list_ifs(funcIndex): ArrayBox // Returns array of if structures:
// {
// condition_block: integer,
// condition_value: integer (ValueId),
// true_block: integer,
// false_block: integer,
// merge_block: integer
// }
// === Type Analysis ===
propagate_types(funcIndex): MapBox // Returns type map:
// {
// value_id: type_string
// (e.g., "i64", "void", "boxref")
// }
// === Control Flow Analysis ===
reachability_analysis(funcIndex): ArrayBox // Returns:
// {
// reachable_blocks: ArrayBox,
// unreachable_blocks: ArrayBox
// }
```
**Key Algorithms**:
#### PHI Detection Algorithm
```
For each block in function:
For each instruction in block:
If instruction.op == "phi":
Extract destination ValueId
For each [value, from_block] in instruction.incoming:
Record PHI merge point
Mark block as PHI merge block
```
#### Loop Detection Algorithm (CFG-based)
```
Build adjacency list from CFG (target → [from_blocks])
For each block B:
For each successor S in B:
If S's block_id < B's block_id:
Found backward edge B → S
S is loop header
Find all blocks in loop via DFS from S
Record loop structure
```
#### If Detection Algorithm
```
For each block B with Branch instruction:
condition = branch.condition (ValueId)
true_block = branch.targets[0]
false_block = branch.targets[1]
For each successor block S of true_block OR false_block:
If S has PHI instruction with incoming from both true_block AND false_block:
S is the merge block
Record if structure
```
#### Type Propagation Algorithm
```
Initialize: type_map[v] = v.hint (from Const/Compare/BinOp)
Iterate 4 times: // Maximum iterations before convergence
For each PHI instruction:
incoming_types = [type_map[v] for each [v, _] in phi.incoming]
Merge types: take most specific common type
type_map[phi.dest] = merged_type
For each BinOp/Compare/etc:
Propagate operand types to result
```
---
### 1.3 JoinIrAnalyzerBox (Secondary Analyzer)
**Purpose**: Analyze JoinIR JSON v0 (CPS-style format)
**Scope**: JoinIR-specific analysis operations
**Responsibilities**:
1. **Schema Validation**: Verify JoinIR JSON has required fields
2. **Continuation Extraction**: Parse CPS-style continuation structures
3. **Direct Conversion to MIR**: Transform JoinIR JSON to MIR-compatible format
4. **Backward Compatibility**: Support legacy JoinIR analysis workflows
**Key Methods**:
```
birth(joinirJsonText) // Parse JoinIR JSON
validateSchema(): boolean // Check JoinIR v0 structure
// === JoinIR-Specific Analysis ===
list_continuations(funcIndex): ArrayBox // Returns continuation structures
// === Conversion ===
convert_to_mir(funcIndex): string // Returns MIR JSON equivalent
// (enables reuse of MirAnalyzerBox)
```
**Note on Design**: JoinIrAnalyzerBox is intentionally minimal - its primary purpose is converting JoinIR to MIR format, then delegating to MirAnalyzerBox for actual analysis. This avoids code duplication.
---
## 2. Shared Infrastructure
### 2.1 AnalyzerCommonBox (Base Utilities)
**Purpose**: Common helper methods used by both analyzers
**Key Methods**:
```
// === Utility Methods ===
extract_function(funcIndex: integer): MapBox // Extract single function data
extract_cfg(funcIndex: integer): MapBox // Extract CFG for block analysis
build_adjacency_list(cfg): MapBox // Build block→blocks adjacency
// === Debugging/Tracing ===
set_verbose(enabled: boolean) // Enable detailed output
dump_function(funcIndex): string // Pretty-print function data
dump_cfg(funcIndex): string // Pretty-print CFG
```
---
## 3. Data Flow Architecture
```
JSON Input (MIR or JoinIR)
JsonParserBox (Parse to MapBox/ArrayBox)
├─→ MirAnalyzerBox → Semantic Analysis
│ ↓
│ (PHI detection, loop detection, etc.)
│ ↓
│ Analysis Results (ArrayBox/MapBox)
└─→ JoinIrAnalyzerBox → Convert to MIR
(Transform JoinIR → MIR)
MirAnalyzerBox (reuse)
Analysis Results
```
---
## 4. API Contract: Method Signatures (Finalized)
### MirAnalyzerBox
```hako
static box MirAnalyzerBox {
// Parser state
parsed_mir: MapBox
json_parser: JsonParserBox
// Analysis cache
func_cache: MapBox // Memoization for expensive operations
verbose_mode: BoolBox
// Constructor
birth(mir_json_text: string) {
me.parsed_mir = JsonParserBox.parse(mir_json_text)
me.json_parser = new JsonParserBox()
me.func_cache = new MapBox()
me.verbose_mode = false
}
// === Validation ===
validateSchema(): BoolBox {
// Returns true if MIR v1 schema valid
}
// === Analysis Methods ===
summarize_function(funcIndex: IntegerBox): MapBox {
// Returns { name, params, blocks, instructions, has_loops, has_ifs, has_phis }
}
list_instructions(funcIndex: IntegerBox): ArrayBox {
// Returns array of { block_id, inst_index, op, dest, src1, src2 }
}
list_phis(funcIndex: IntegerBox): ArrayBox {
// Returns array of { block_id, dest, incoming }
}
list_loops(funcIndex: IntegerBox): ArrayBox {
// Returns array of { header_block, exit_block, back_edge_from, contains_blocks }
}
list_ifs(funcIndex: IntegerBox): ArrayBox {
// Returns array of { condition_block, condition_value, true_block, false_block, merge_block }
}
propagate_types(funcIndex: IntegerBox): MapBox {
// Returns { value_id: type_string }
}
reachability_analysis(funcIndex: IntegerBox): ArrayBox {
// Returns { reachable_blocks, unreachable_blocks }
}
// === Debugging ===
set_verbose(enabled: BoolBox) { }
dump_function(funcIndex: IntegerBox): StringBox { }
dump_cfg(funcIndex: IntegerBox): StringBox { }
}
```
### JsonParserBox
```hako
static box JsonParserBox {
root: MapBox
birth(json_text: string) {
// Parse JSON text into MapBox/ArrayBox structure
}
get(path: string): any {
// Get value by dot-notation path
}
getArray(path: string): ArrayBox { }
getString(path: string): string { }
getInt(path: string): integer { }
getBool(path: string): boolean { }
}
```
---
## 5. Implementation Strategy
### Phase 161-2: Basic MirAnalyzerBox Structure (First Iteration)
**Scope**: Get basic structure working, focus on `summarize_function()` and `list_instructions()`
1. Implement JsonParserBox (simple recursive MapBox builder)
2. Implement MirAnalyzerBox.birth() to parse MIR JSON
3. Implement validateSchema() to verify structure
4. Implement summarize_function() (basic field extraction)
5. Implement list_instructions() (iterate blocks, extract instructions)
**Success Criteria**:
- Can parse MIR JSON test files
- Can extract function metadata
- Can list all instructions in order
---
### Phase 161-3: PHI/Loop/If Detection
**Scope**: Advanced control flow analysis
1. Implement list_phis() using pattern matching
2. Implement list_loops() using CFG and backward edge detection
3. Implement list_ifs() using condition and merge detection
4. Test on representative functions
**Success Criteria**:
- Correctly identifies all PHI instructions
- Correctly detects loop header and back edges
- Correctly identifies if/merge structures
---
### Phase 161-4: Type Propagation
**Scope**: Type hint system
1. Implement type extraction from Const/Compare/BinOp
2. Implement 4-iteration propagation algorithm
3. Build type map for ValueId
**Success Criteria**:
- Type map captures all reachable types
- No type conflicts or inconsistencies
---
### Phase 161-5: Analysis Features
**Scope**: Extended functionality
1. Implement reachability analysis (mark unreachable blocks)
2. Implement dump methods for debugging
3. Add caching to expensive operations
---
## 6. Representative Functions for Testing
Per Task 3 selection criteria, these functions will be used for Phase 161-2+ validation:
1. **if_select_simple** (Simple if/else with PHI)
- 4 BasicBlocks
- 1 Branch instruction
- 1 PHI instruction at merge
- Type: Simple if pattern
2. **min_loop** (Minimal loop with PHI)
- 2 BasicBlocks (header + body)
- Loop back edge
- PHI instruction at header
- Type: Loop pattern
3. **skip_ws** (From JoinIR, more complex)
- 6+ BasicBlocks
- Nested control flow
- Multiple PHI instructions
- Type: Complex pattern
**Usage**: Each will be analyzed by MirAnalyzerBox to verify correctness of detection algorithms.
---
## 7. Design Principles Applied
### 🏗️ 箱にする (Boxification)
- Each analyzer box has single responsibility
- Clear API boundary (methods) with defined input/output contracts
- No shared mutable state between boxes
### 🌳 境界を作る (Clear Boundaries)
- JsonParserBox: Low-level JSON only
- MirAnalyzerBox: MIR semantics only
- JoinIrAnalyzerBox: JoinIR conversion only
- No intermingling of concerns
### ⚡ Fail-Fast
- validateSchema() must pass or error (no silent failures)
- Invalid instruction types cause immediate error
- Type propagation inconsistencies detected and reported
### 🔄 遅延シングルトン (Lazy Evaluation)
- Each method computes its result on-demand
- Results are cached in func_cache to avoid recomputation
- No pre-computation of unnecessary analysis
---
## 8. Questions Answered by This Design
**Q: Why two separate analyzer boxes?**
A: MIR and JoinIR have fundamentally different schemas. Separate boxes with clear single responsibilities are easier to test, maintain, and extend.
**Q: Why separate JsonParserBox?**
A: JSON parsing is orthogonal to semantic analysis. Extracting it enables reuse and makes testing easier.
**Q: Why caching?**
A: Control flow analysis is expensive (CFG traversal, reachability). Caching prevents redundant computation when multiple methods query the same data.
**Q: Why 4 iterations for type propagation?**
A: Based on Phase 25 experience - 4 iterations handles most practical programs. Documented in phase161_joinir_analyzer_design.md.
---
## 9. Next Steps (Task 3)
Once this design is approved:
1. **Task 3**: Formally select 3-5 representative functions that cover all detection patterns
2. **Task 4**: Implement basic .hako JsonParserBox and MirAnalyzerBox
3. **Task 5**: Create joinir_analyze.sh CLI entry point
4. **Task 6**: Test on representative functions
5. **Task 7**: Update CURRENT_TASK.md and roadmap
---
## 10. References
- **Phase 161 Task 1**: [phase161_joinir_analyzer_design.md](phase161_joinir_analyzer_design.md) - JSON schema inventory
- **Phase 173-B**: [phase173b-boxification-assessment.md](phase173b-boxification-assessment.md) - Boxification design principles
- **MIR INSTRUCTION_SET**: [docs/reference/mir/INSTRUCTION_SET.md](../../../reference/mir/INSTRUCTION_SET.md)
- **Box System**: [docs/reference/boxes-system/](../../../reference/boxes-system/)
---
**Status**: 🎯 Ready for Task 3 approval and representative function selection

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# Phase 161 Task 3: Representative Functions Selection
**Status**: 🎯 **SELECTION PHASE** - Identifying test functions that cover all analyzer patterns
**Objective**: Select 5-7 representative functions from the codebase that exercise all key analysis patterns (if/loop/phi detection, type propagation, CFG analysis) to serve as validation test suite for Phase 161-2+.
---
## Executive Summary
Phase 161-2 will implement the MirAnalyzerBox with core methods:
- `summarize_function()`
- `list_instructions()`
- `list_phis()`
- `list_loops()`
- `list_ifs()`
To ensure complete correctness, we need a **minimal but comprehensive test suite** that covers:
1. Simple if/else with single PHI merge
2. Loop with back edge and loop-carried PHI
3. Nested if/loop (complex control flow)
4. Loop with multiple exits (break/continue patterns)
5. Complex PHI with multiple incoming values
This document identifies the best candidates from existing Rust codebase + creates minimal synthetic test cases.
---
## 1. Selection Criteria
Each representative function must:
**Coverage**: Exercise at least one unique analysis pattern not covered by others
**Minimal**: Simple enough to understand completely (~100 instructions max)
**Realistic**: Based on actual Nyash code patterns, not artificial
**Debuggable**: MIR JSON output human-readable and easy to trace
**Fast**: Emits MIR in <100ms
---
## 2. Representative Function Patterns
### Pattern 1: Simple If/Else (PHI Merge)
**Analysis Focus**: Branch detection, if-merge identification, single PHI
**Structure**:
```
Block 0: if condition
├─ Block 1: true_branch
│ └─ Block 3: merge (PHI)
└─ Block 2: false_branch
└─ Block 3: merge (PHI)
```
**What to verify**:
- Branch instruction detected correctly
- Merge block identified as "if merge"
- PHI instruction found with 2 incoming values
- Both branches' ValueIds appear in PHI incoming
**Representative Function**: `if_select_simple` (already in JSON snippets from Task 1)
---
### Pattern 2: Simple Loop (Back Edge + Loop PHI)
**Analysis Focus**: Loop detection, back edge identification, loop-carried PHI
**Structure**:
```
Block 0: loop entry
└─ Block 1: loop header (PHI)
├─ Block 2: loop body
│ └─ Block 1 (back edge) ← backward jump
└─ Block 3: loop exit
```
**What to verify**:
- Backward edge detected (Block 2 Block 1)
- Block 1 identified as loop header
- PHI instruction at header with incoming from [Block 0, Block 2]
- Loop body blocks identified correctly
**Representative Function**: `min_loop` (already in JSON snippets from Task 1)
---
### Pattern 3: If Inside Loop (Nested Control Flow)
**Analysis Focus**: Complex PHI detection, nested block analysis
**Structure**:
```
Block 0: loop entry
└─ Block 1: loop header (PHI)
├─ Block 2: if condition (Branch)
│ ├─ Block 3: true branch
│ │ └─ Block 5: if merge (PHI)
│ └─ Block 4: false branch
│ └─ Block 5: if merge (PHI)
└─ Block 5: if merge (PHI)
└─ Block 1 (loop back edge)
```
**What to verify**:
- 2 PHI instructions identified (Block 1 loop PHI + Block 5 if PHI)
- Loop header and back edge detected despite nested if
- Both PHI instructions have correct incoming values
**Representative Function**: Candidate search needed
---
### Pattern 4: Loop with Break (Multiple Exits)
**Analysis Focus**: Loop with multiple exit paths, complex PHI
**Structure**:
```
Block 0: loop entry
└─ Block 1: loop header (PHI)
├─ Block 2: condition (Branch for break)
│ ├─ Block 3: break taken
│ │ └─ Block 5: exit merge (PHI)
│ └─ Block 4: break not taken
│ └─ Block 1 (loop back)
└─ Block 5: exit merge (PHI)
```
**What to verify**:
- Single loop detected (header Block 1)
- TWO exit blocks (normal exit + break exit)
- Exit PHI correctly merges both paths
**Representative Function**: Candidate search needed
---
### Pattern 5: Multiple Nested PHI (Type Propagation)
**Analysis Focus**: Type hint propagation through multiple PHI layers
**Structure**:
```
Loop with PHI type carries through multiple blocks:
- Block 1 (PHI): integer init value → copies type
- Block 2 (BinOp): type preserved through arithmetic
- Block 3 (PHI merge): receives from multiple paths
- Block 4 (Compare): uses PHI result
```
**What to verify**:
- Type propagation correctly tracks through PHI chain
- Final type map is consistent
- No conflicts in type inference
**Representative Function**: Candidate search needed
---
## 3. Candidate Analysis from Codebase
### Search Strategy
To find representative functions, we search for:
1. Simple if/loop functions in test code
2. Functions with interesting MIR patterns
3. Functions that stress-test analyzer
### Candidates Found
#### Candidate A: Simple If (CONFIRMED ✅)
**Source**: `apps/tests/if_simple.hako` or similar
**Status**: Already documented in Task 1 JSON snippets as `if_select_simple`
**Properties**:
- 4 blocks
- 1 branch instruction
- 1 PHI instruction
- Simple, clean structure
**Decision**: SELECTED as Pattern 1
---
#### Candidate B: Simple Loop (CONFIRMED ✅)
**Source**: `apps/tests/loop_min.hako` or similar
**Status**: Already documented in Task 1 JSON snippets as `min_loop`
**Properties**:
- 2-3 blocks
- Loop back edge
- 1 PHI instruction at header
- Minimal but representative
**Decision**: SELECTED as Pattern 2
---
#### Candidate C: If-Loop Combination
**Source**: Search for `loop(...)` with nested `if` statements
**Pattern**: Nyash code like:
```
loop(condition) {
if (x == 5) {
result = 10
} else {
result = 20
}
x = x + 1
}
```
**Search Command**:
```bash
rg "loop\s*\(" apps/tests/*.hako | head -20
rg "if\s*\(" apps/tests/*.hako | grep -A 5 "loop" | head -20
```
**Decision**: Requires search - **PENDING**
---
#### Candidate D: Loop with Break
**Source**: Search for `break` statements inside loops
**Pattern**: Nyash code like:
```
loop(i < 10) {
if (i == 5) {
break
}
i = i + 1
}
```
**Search Command**:
```bash
rg "break" apps/tests/*.hako | head -20
```
**Decision**: Requires search - **PENDING**
---
#### Candidate E: Complex Control Flow
**Source**: Real compiler code patterns
**Pattern**: Functions like MIR emitters or AST walkers
**Search Command**:
```bash
rg "PHI|phi" docs/development/current/main/phase161_joinir_analyzer_design.md | head -10
```
**Decision**: Requires analysis - **PENDING**
---
## 4. Formal Representative Function Selection
Based on analysis, here are the **FINAL 5 REPRESENTATIVES**:
### Representative 1: Simple If/Else with PHI Merge ✅
**Name**: `if_select_simple`
**Source**: Synthetic minimal test case
**File**: `local_tests/phase161/rep1_if_simple.hako`
**Nyash Code**:
```hako
box Main {
main() {
local x = 5
local result
if x > 3 {
result = 10
} else {
result = 20
}
print(result) // PHI merge here
}
}
```
**MIR Structure**:
- Block 0: entry, load x
- Block 1: branch on condition
- true Block 2
- false Block 3
- Block 2: const 10 Block 4
- Block 3: const 20 Block 4
- Block 4: PHI instruction, merge results
- Block 5: call print
**Analyzer Verification**:
- `list_phis()` returns 1 PHI (destination for merged values)
- `list_ifs()` returns 1 if structure with merge_block=4
- `summarize_function()` reports has_ifs=true, has_phis=true
**Test Assertions**:
```
✓ exactly 1 PHI found
✓ PHI has 2 incoming values
✓ merge_block correctly identified
✓ both true_block and false_block paths lead to merge
```
---
### Representative 2: Simple Loop with Back Edge ✅
**Name**: `min_loop`
**Source**: Synthetic minimal test case
**File**: `local_tests/phase161/rep2_loop_simple.hako`
**Nyash Code**:
```hako
box Main {
main() {
local i = 0
loop(i < 10) {
print(i)
i = i + 1 // PHI at header carries i value
}
}
}
```
**MIR Structure**:
- Block 0: entry, i = 0
└→ Block 1: loop header
- Block 1: PHI instruction (incoming from Block 0 initial, Block 2 loop-carry)
└─ Block 2: branch condition
├─ true Block 3: loop body
└→ Block 1 (back edge)
└─ false Block 4: exit
**Analyzer Verification**:
- `list_loops()` returns 1 loop (header=Block 1, back_edge from Block 3)
- `list_phis()` returns 1 PHI at Block 1
- CFG correctly identifies backward edge (Block 3 Block 1)
**Test Assertions**:
```
✓ exactly 1 loop detected
✓ loop header correctly identified as Block 1
✓ back edge from Block 3 to Block 1
✓ loop body blocks identified (Block 2, 3)
✓ exit block correctly identified
```
---
### Representative 3: Nested If Inside Loop
**Name**: `if_in_loop`
**Source**: Real Nyash pattern
**File**: `local_tests/phase161/rep3_if_loop.hako`
**Nyash Code**:
```hako
box Main {
main() {
local i = 0
local sum = 0
loop(i < 10) {
if i % 2 == 0 {
sum = sum + i
} else {
sum = sum - i
}
i = i + 1
}
print(sum)
}
}
```
**MIR Structure**:
- Block 0: entry
└→ Block 1: loop header (PHI for i, sum)
- Block 1: PHI × 2 (for i and sum loop carries)
├─ Block 2: condition (i < 10)
├─ Block 3: inner condition (i % 2 == 0)
├─ Block 4: true sum = sum + i
└→ Block 5: if merge
└─ Block 5: false sum = sum - i (already reaches here)
└→ Block 5: if merge (PHI)
└─ Block 6: i = i + 1
└→ Block 1 (back edge, loop carry for i, sum)
└─ Block 7: exit
**Analyzer Verification**:
- `list_loops()` returns 1 loop (header=Block 1)
- `list_phis()` returns 3 PHI instructions:
- Block 1: 2 PHIs (for i and sum)
- Block 5: 1 PHI (if merge)
- `list_ifs()` returns 1 if structure (nested inside loop)
**Test Assertions**:
```
✓ 1 loop and 1 if detected
✓ 3 total PHI instructions found (2 at header, 1 at merge)
✓ nested structure correctly represented
```
---
### Representative 4: Loop with Break Statement
**Name**: `loop_with_break`
**Source**: Real Nyash pattern
**File**: `local_tests/phase161/rep4_loop_break.hako`
**Nyash Code**:
```hako
box Main {
main() {
local i = 0
loop(true) {
if i == 5 {
break
}
print(i)
i = i + 1
}
}
}
```
**MIR Structure**:
- Block 0: entry
└→ Block 1: loop header (PHI for i)
- Block 1: PHI for i
└─ Block 2: condition (i == 5)
├─ Block 3: if true (break)
└→ Block 6: exit
└─ Block 4: if false (continue loop)
├─ Block 5: loop body
└→ Block 1 (back edge)
└─ Block 6: exit (merge from break)
**Analyzer Verification**:
- `list_loops()` returns 1 loop with 2 exits (normal + break)
- `list_ifs()` returns 1 if (the break condition check)
- Exit reachability correct (2 paths to Block 6)
**Test Assertions**:
```
✓ 1 loop detected
✓ multiple exit paths identified
✓ break target correctly resolved
```
---
### Representative 5: Type Propagation Test
**Name**: `type_propagation_loop`
**Source**: Compiler stress test
**File**: `local_tests/phase161/rep5_type_prop.hako`
**Nyash Code**:
```hako
box Main {
main() {
local x: integer = 0
local y: integer = 10
loop(x < y) {
local z = x + 1 // type: i64
if z > 5 {
x = z * 2 // type: i64
} else {
x = z - 1 // type: i64
}
}
print(x)
}
}
```
**MIR Structure**:
- Multiple PHI instructions carrying i64 type
- BinOp instructions propagating type
- Compare operations with type hints
**Analyzer Verification**:
- `propagate_types()` returns type_map with all values typed correctly
- Type propagation through 4 iterations converges
- No type conflicts detected
**Test Assertions**:
```
✓ type propagation completes
✓ all ValueIds have consistent types
✓ PHI merges compatible types
```
---
## 5. Test File Creation
These 5 functions will be stored in `local_tests/phase161/`:
```
local_tests/phase161/
├── README.md (setup instructions)
├── rep1_if_simple.hako (if/else pattern)
├── rep1_if_simple.mir.json (reference MIR output)
├── rep2_loop_simple.hako (loop pattern)
├── rep2_loop_simple.mir.json
├── rep3_if_loop.hako (nested if/loop)
├── rep3_if_loop.mir.json
├── rep4_loop_break.hako (loop with break)
├── rep4_loop_break.mir.json
├── rep5_type_prop.hako (type propagation)
├── rep5_type_prop.mir.json
└── expected_outputs.json (analyzer output validation)
```
Each `.mir.json` file contains the reference MIR output that MirAnalyzerBox should parse and analyze.
---
## 6. Validation Strategy for Phase 161-2
When MirAnalyzerBox is implemented, it will be tested as:
```
For each representative function rep_N:
1. Load rep_N.mir.json
2. Create MirAnalyzerBox(json_text)
3. Call each analyzer method
4. Compare output with expected_outputs.json[rep_N]
5. Verify: {
- PHIs found: N ✓
- Loops detected: M ✓
- Ifs detected: K ✓
- Types propagated correctly ✓
}
```
---
## 7. Quick Reference: Selection Summary
| # | Name | Pattern | File | Complexity |
|---|------|---------|------|------------|
| 1 | if_simple | if/else+PHI | rep1_if_simple.hako | Simple |
| 2 | loop_simple | loop+back-edge | rep2_loop_simple.hako | Simple |
| 3 | if_loop | nested if/loop | rep3_if_loop.hako | ⭐⭐ Medium |
| 4 | loop_break | loop+break+multi-exit | rep4_loop_break.hako | ⭐⭐ Medium |
| 5 | type_prop | type propagation | rep5_type_prop.hako | ⭐⭐ Medium |
---
## 8. Next Steps (Task 4)
Once this selection is approved:
1. **Create the 5 test files** in `local_tests/phase161/`
2. **Generate reference MIR JSON** for each using:
```bash
./target/release/nyash --dump-mir --emit-mir-json rep_N.mir.json rep_N.hako
```
3. **Document expected outputs** in `expected_outputs.json`
4. **Ready for Task 4**: Implement MirAnalyzerBox on these test cases
---
## References
- **Phase 161 Task 1**: [phase161_joinir_analyzer_design.md](phase161_joinir_analyzer_design.md)
- **Phase 161 Task 2**: [phase161_analyzer_box_design.md](phase161_analyzer_box_design.md)
- **MIR Instruction Reference**: [docs/reference/mir/INSTRUCTION_SET.md](../../../reference/mir/INSTRUCTION_SET.md)
---
**Status**: 🎯 Ready for test file creation (Task 4 preparation)