refactor: Extract utilities from control_flow.rs (Phase 6)

- Created utils.rs with extract_loop_variable_from_condition helper
- Extracted ~30 lines of utility logic
- control_flow/mod.rs now delegates to utils module
- All builds pass, no behavior changes

src/mir/builder/control_flow/mod.rs

@@ -6,6 +6,7 @@
 //! - Phase 3: JoinIR routing (joinir/routing.rs) ✅
 //! - Phase 4: Merge implementation (joinir/merge/) ✅
 //! - Phase 5: Exception handling (exception/) ✅
+//! - Phase 6: Utility functions (utils.rs) ✅
 
 use super::ValueId;
 use crate::ast::ASTNode;
@@ -19,6 +20,9 @@ pub(in crate::mir::builder) mod joinir;
 // Phase 5: Exception handling
 pub(in crate::mir::builder) mod exception;
 
+// Phase 6: Utility functions
+pub(in crate::mir::builder) mod utils;
+
 impl super::MirBuilder {
     /// Control-flow: block
     pub(super) fn cf_block(&mut self, statements: Vec<ASTNode>) -> Result<ValueId, String> {
@@ -138,35 +142,9 @@ impl super::MirBuilder {
     /// For `i < 3`, extracts `i`.
     /// For `arr.length() > 0`, extracts `arr`.
     ///
-    /// This is a minimal implementation that handles simple comparison patterns.
+    /// Delegates to utils::extract_loop_variable_from_condition for implementation.
     fn extract_loop_variable_from_condition(&self, condition: &ASTNode) -> Result<String, String> {
-        use crate::ast::BinaryOperator;
+        utils::extract_loop_variable_from_condition(condition)
-
-        match condition {
-            ASTNode::BinaryOp {
-                operator, left, ..
-            } if matches!(
-                operator,
-                BinaryOperator::Less
-                    | BinaryOperator::Greater
-                    | BinaryOperator::LessEqual
-                    | BinaryOperator::GreaterEqual
-            ) =>
-            {
-                // Binary comparison: extract variable from left side
-                match &**left {
-                    ASTNode::Variable { name, .. } => Ok(name.clone()),
-                    _ => Err(format!(
-                        "[cf_loop/pattern1] Cannot extract loop variable from condition: {:?}",
-                        condition
-                    )),
-                }
-            }
-            _ => Err(format!(
-                "[cf_loop/pattern1] Unsupported loop condition pattern: {:?}",
-                condition
-            )),
-        }
     }
 
     /// Control-flow: throw

src/mir/builder/control_flow/utils.rs

@@ -0,0 +1,53 @@
+//! Control flow utility functions.
+//!
+//! This module provides helper functions for control flow analysis and manipulation.
+
+use crate::ast::{ASTNode, BinaryOperator};
+
+/// Extract loop variable name from condition.
+///
+/// # Examples
+///
+/// - For `i < 3`, extracts `i`
+/// - For `arr.length() > 0`, extracts `arr`
+///
+/// # Implementation
+///
+/// This is a minimal implementation that handles simple comparison patterns.
+/// It looks for binary comparison operators (< > <= >=) and extracts the
+/// variable name from the left side of the comparison.
+///
+/// # Errors
+///
+/// Returns an error if:
+/// - The condition is not a binary comparison
+/// - The left side of the comparison is not a simple variable
+pub(in crate::mir::builder) fn extract_loop_variable_from_condition(
+    condition: &ASTNode,
+) -> Result<String, String> {
+    match condition {
+        ASTNode::BinaryOp {
+            operator, left, ..
+        } if matches!(
+            operator,
+            BinaryOperator::Less
+                | BinaryOperator::Greater
+                | BinaryOperator::LessEqual
+                | BinaryOperator::GreaterEqual
+        ) =>
+        {
+            // Binary comparison: extract variable from left side
+            match &**left {
+                ASTNode::Variable { name, .. } => Ok(name.clone()),
+                _ => Err(format!(
+                    "[cf_loop/pattern1] Cannot extract loop variable from condition: {:?}",
+                    condition
+                )),
+            }
+        }
+        _ => Err(format!(
+            "[cf_loop/pattern1] Unsupported loop condition pattern: {:?}",
+            condition
+        )),
+    }
+}