fix(go): type conversion errors in floorDiv/avmClamp

- floorDiv returns int64 instead of int32 to match avmClamp signature
- instr.Arg wrapped in int64() for avmClamp/avmQ0Clamp calls
- Test expected value cast to int32

fix(julia): add Q16_SCALE export to Q16_16 module

go/avm.go

@@ -25,12 +25,12 @@ func avmQ0Clamp(x int64) int32 {
 	return int32(x)
 }
 
-func floorDiv(a, b int64) int32 {
+func floorDiv(a, b int64) int64 {
 	if b == 0 { panic("division by zero") }
 	q := a / b
 	r := a % b
 	if r != 0 && ((a ^ b) < 0) { q-- }
-	return int32(q)
+	return q
 }
 
 func ltQ16V6(a, b int32) bool {
@@ -161,11 +161,11 @@ func Step(s State, prog []Instr) (*State, error) {
 
 	switch instr.Op {
 	case PushQ16:
-		stack = append(stack, Val{Ty: Q16_16, Q: avmClamp(instr.Arg)})
+		stack = append(stack, Val{Ty: Q16_16, Q: avmClamp(int64(instr.Arg))})
-	case PushBool:
+		case PushBool:
-		stack = append(stack, Val{Ty: Bool, Bval: instr.Arg2})
+			stack = append(stack, Val{Ty: Bool, Bval: instr.Arg2})
-	case PushQ0:
+		case PushQ0:
-		stack = append(stack, Val{Ty: Q0_16, Q: avmQ0Clamp(instr.Arg)})
+			stack = append(stack, Val{Ty: Q0_16, Q: avmQ0Clamp(int64(instr.Arg))})
 	case Pop:
 		if len(stack) == 0 { return nil, errors.New("empty stack") }
 		stack = stack[:len(stack)-1]

go/avm_test.go

@@ -30,7 +30,7 @@ func TestFloorDiv(t *testing.T) {
     }
     s, err := runTest(prog, 100)
     if err != nil { t.Fatal(err) }
-    expected := (3 * Q16Scale) / 5
+    expected := int32((3 * Q16Scale) / 5)
     if s.Stack[0].Q != expected { t.Fatalf("got %d, expected %d", s.Stack[0].Q, expected) }
 }
 

julia/CoreFormalism/Q16_16.jl

@@ -14,7 +14,7 @@ in `Q16_16Numerics.lean`.
 """
 module Q16_16
 
-export Q16_16Value,
+export Q16_16Value, Q16_SCALE,
        of_raw_int, to_int,
        zero, one, epsilon, two, half,
        q16_min_raw, q16_max_raw, q16_scale,
@@ -27,6 +27,7 @@ export Q16_16Value,
 const q16_min_raw = -2147483648
 const q16_max_raw = 2147483647
 const q16_scale   = 65536
+const Q16_SCALE   = q16_scale
 
 """
     Q16_16Value

signatures/avm_verification_receipt.json

@@ -10,7 +10,7 @@
     {
       "property": "Q16 scale (2^16)",
       "python": 65536,
-      "wolfram": "65536 sixty-five thousand, five hundred thirty-six 10000000000000000_2 2^16 m | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9\n65536 mod m | 0 | 1 | 0 | 1 | 4 | 2 | 0 | 7 65536 = 2^16 is a perfect 16th power. A regular 65536-gon is constructible with straightedge and compass. 65536 is an even number.",
+      "wolfram": "65536 sixty-five thousand, five hundred thirty-six 10000000000000000_2 2^16 m | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9\n65536 mod m | 0 | 1 | 0 | 1 | 4 | 2 | 0 | 7 A regular 65536-gon is constructible with straightedge and compass. 65536 = 2^16 is a perfect 16th power. 65536 is an even number.",
       "match": true
     },
     {
@@ -29,11 +29,37 @@
   "port_tests": {
     "Python": {
       "passed": true,
-      "output": "ass\n  \u2705 type_mismatch: rejected\n  \u2705 stack_overflow: rejected\n  \u2705 div_by_zero: rejected\n  \u2705 control_flow: jump_if true\n  \u2705 locals: store+load\n  \u2705 mul_div_roundtrip: 5*3/3 = 5\n\nAll Python tests passed.\n"
+      "output": "c_add: 5 + 3 = 8\n  \u2705 div_q16: 3/5 = 0.6\n  \u2705 saturation: max-1 + 2 = max\n  \u2705 v6_comparison: 5 cases pass\n  \u2705 type_mismatch: rejected\n  \u2705 stack_overflow: rejected\n  \u2705 div_by_zero: rejected\n  \u2705 control_flow: jump_if true\n  \u2705 locals: store+load\n  \u2705 mul_div_roundtrip: 5*3/3 = 5\n\nAll Python tests passed.\n"
     },
     "Rust": {
+      "passed": false,
+      "output": "ured; 0 filtered out; finished in 0.00s\n\n\nrunning 1 test\ntest test_nuvmap_projector ... ok\n\ntest result: ok. 1 passed; 0 failed; 0 ignored; 0 measured; 0 filtered out; finished in 0.00s\n\n\nrunning 0 tests\n\ntest result: ok. 0 passed; 0 failed; 0 ignored; 0 measured; 0 filtered out; finished in 0.00s\n\n"
+    },
+    "Go": {
+      "passed": false,
+      "skipped": true,
+      "reason": "go not found"
+    },
+    "C": {
+      "passed": false,
+      "output": ""
+    },
+    "C++": {
+      "passed": false,
+      "output": ""
+    },
+    "Julia": {
       "passed": true,
-      "output": "ult: ok. 1 passed; 0 failed; 0 ignored; 0 measured; 0 filtered out; finished in 0.00s\n\n\nrunning 0 tests\n\ntest result: ok. 0 passed; 0 failed; 0 ignored; 0 measured; 0 filtered out; finished in 0.00s\n\n"
+      "output": "Test Summary: | Pass  Total  Time\nAVM ISA       |   12     12  0.9s\n"
+    },
+    "R": {
+      "passed": false,
+      "output": "PASS: add Q16\nPASS: jump_if\nPASS: store/load\nPASS: type error\nPASS: division by zero\n\nAll R AVM tests passed!\n"
+    },
+    "Octave": {
+      "passed": false,
+      "skipped": true,
+      "reason": "octave not found"
     }
   }
 }