feat(hints): add NewHint#30 (#984)

* Add `COMPUTE_SLOPE_WHITELIST` hint

* Update changelog

* Fix: add missing return to cairo program

* Separate changelog item and description

Co-authored-by: fmoletta <[email protected]>

* Format

---------

Co-authored-by: fmoletta <[email protected]>
Co-authored-by: Mario Rugiero <[email protected]>

Author: 3 people

CHANGELOG.md

@@ -58,6 +58,21 @@
 * ExecutionResource operations: add and substract [#774](https://github.com/lambdaclass/cairo-rs/pull/774), multiplication [#908](https://github.com/lambdaclass/cairo-rs/pull/908) , and `AddAssign` [#914](https://github.com/lambdaclass/cairo-rs/pull/914)
 
 
+* Add missing hint on cairo_secp lib [#984]:
+
+    `BuiltinHintProcessor` now supports the following hint:
+    ```python
+        from starkware.cairo.common.cairo_secp.secp_utils import SECP_P, pack
+        from starkware.python.math_utils import div_mod
+
+        # Compute the slope.
+        x0 = pack(ids.pt0.x, PRIME)
+        y0 = pack(ids.pt0.y, PRIME)
+        x1 = pack(ids.pt1.x, PRIME)
+        y1 = pack(ids.pt1.y, PRIME)
+        value = slope = div_mod(y0 - y1, x0 - x1, SECP_P)
+    ```
+
 * Implement hints on uint384 lib (Part 2) [#971](https://github.com/lambdaclass/cairo-rs/pull/971)
 
     `BuiltinHintProcessor` now supports the following hint:

cairo_programs/ed25519_ec.cairo

@@ -0,0 +1,77 @@
+%builtins range_check
+
+// Source: https://github.com/NilFoundation/cairo-ed25519/blob/fee64a1a60b2e07b3b5c20df57f31d7ffcb29ac9/ed25519_ec.cairo
+
+from starkware.cairo.common.serialize import serialize_word
+from starkware.cairo.common.cairo_secp.bigint import BigInt3, UnreducedBigInt3, nondet_bigint3
+from starkware.cairo.common.cairo_secp.field import (
+    is_zero,
+    unreduced_mul,
+    unreduced_sqr,
+    verify_zero,
+)
+
+// Represents a point on the elliptic curve.
+// The zero point is represented using pt.x=0, as there is no point on the curve with this x value.
+struct EcPoint {
+    x: BigInt3,
+    y: BigInt3,
+}
+
+// Returns the slope of the line connecting the two given points.
+// The slope is used to compute pt0 + pt1.
+// Assumption: pt0.x != pt1.x (mod secp256k1_prime).
+func compute_slope{range_check_ptr: felt}(pt0: EcPoint, pt1: EcPoint) -> (slope: BigInt3) {
+    %{
+        from starkware.cairo.common.cairo_secp.secp_utils import SECP_P, pack
+        from starkware.python.math_utils import div_mod
+
+        # Compute the slope.
+        x0 = pack(ids.pt0.x, PRIME)
+        y0 = pack(ids.pt0.y, PRIME)
+        x1 = pack(ids.pt1.x, PRIME)
+        y1 = pack(ids.pt1.y, PRIME)
+        value = slope = div_mod(y0 - y1, x0 - x1, SECP_P)
+    %}
+    let (slope) = nondet_bigint3();
+
+    let x_diff = BigInt3(d0=pt0.x.d0 - pt1.x.d0, d1=pt0.x.d1 - pt1.x.d1, d2=pt0.x.d2 - pt1.x.d2);
+    let (x_diff_slope: UnreducedBigInt3) = unreduced_mul(x_diff, slope);
+
+    verify_zero(
+        UnreducedBigInt3(
+            d0=x_diff_slope.d0 - pt0.y.d0 + pt1.y.d0,
+            d1=x_diff_slope.d1 - pt0.y.d1 + pt1.y.d1,
+            d2=x_diff_slope.d2 - pt0.y.d2 + pt1.y.d2,
+        ),
+    );
+
+    return (slope=slope);
+}
+
+func test_compute_slope{range_check_ptr: felt}() {
+    let x0 = BigInt3(d0=1, d1=5, d2=10);
+    let y0 = BigInt3(d0=2, d1=4, d2=20);
+
+    let pt0 = EcPoint(x=x0, y=y0);
+
+    let x1 = BigInt3(d0=3, d1=3, d2=3);
+    let y1 = BigInt3(d0=3, d1=5, d2=22);
+
+    let pt1 = EcPoint(x=x1, y=y1);
+
+    // Compute slope
+    let (slope) = compute_slope(pt0, pt1);
+
+    assert slope = BigInt3(
+        d0=39919528597790922692721903, d1=31451568879578276714332055, d2=6756007504256943629292535
+    );
+
+    return ();
+}
+
+func main{range_check_ptr: felt}() {
+    test_compute_slope();
+
+    return ();
+}

src/hint_processor/builtin_hint_processor/builtin_hint_processor_definition.rs

@@ -361,9 +361,22 @@ impl HintProcessor for BuiltinHintProcessor {
             hint_code::EC_DOUBLE_SCOPE => {
                 compute_doubling_slope(vm, exec_scopes, &hint_data.ids_data, &hint_data.ap_tracking)
             }
-            hint_code::COMPUTE_SLOPE => {
-                compute_slope(vm, exec_scopes, &hint_data.ids_data, &hint_data.ap_tracking)
-            }
+            hint_code::COMPUTE_SLOPE => compute_slope(
+                vm,
+                exec_scopes,
+                &hint_data.ids_data,
+                &hint_data.ap_tracking,
+                "point0",
+                "point1",
+            ),
+            hint_code::COMPUTE_SLOPE_WHITELIST => compute_slope(
+                vm,
+                exec_scopes,
+                &hint_data.ids_data,
+                &hint_data.ap_tracking,
+                "pt0",
+                "pt1",
+            ),
             hint_code::EC_DOUBLE_ASSIGN_NEW_X => {
                 ec_double_assign_new_x(vm, exec_scopes, &hint_data.ids_data, &hint_data.ap_tracking)
             }

src/hint_processor/builtin_hint_processor/hint_code.rs

@@ -477,6 +477,16 @@ x1 = pack(ids.point1.x, PRIME)
 y1 = pack(ids.point1.y, PRIME)
 value = slope = line_slope(point1=(x0, y0), point2=(x1, y1), p=SECP_P)"#;
 
+pub(crate) const COMPUTE_SLOPE_WHITELIST: &str = r#"from starkware.cairo.common.cairo_secp.secp_utils import SECP_P, pack
+from starkware.python.math_utils import div_mod
+
+# Compute the slope.
+x0 = pack(ids.pt0.x, PRIME)
+y0 = pack(ids.pt0.y, PRIME)
+x1 = pack(ids.pt1.x, PRIME)
+y1 = pack(ids.pt1.y, PRIME)
+value = slope = div_mod(y0 - y1, x0 - x1, SECP_P)"#;
+
 pub(crate) const EC_DOUBLE_ASSIGN_NEW_X: &str = r#"from starkware.cairo.common.cairo_secp.secp_utils import SECP_P, pack
 
 slope = pack(ids.slope, PRIME)

src/hint_processor/builtin_hint_processor/secp/ec_utils.rs

@@ -113,11 +113,13 @@ pub fn compute_slope(
     exec_scopes: &mut ExecutionScopes,
     ids_data: &HashMap<String, HintReference>,
     ap_tracking: &ApTracking,
+    point0_alias: &str,
+    point1_alias: &str,
 ) -> Result<(), HintError> {
     //ids.point0
-    let point0 = EcPoint::from_var_name("point0", vm, ids_data, ap_tracking)?;
+    let point0 = EcPoint::from_var_name(point0_alias, vm, ids_data, ap_tracking)?;
     //ids.point1
-    let point1 = EcPoint::from_var_name("point1", vm, ids_data, ap_tracking)?;
+    let point1 = EcPoint::from_var_name(point1_alias, vm, ids_data, ap_tracking)?;
 
     let value = line_slope(
         &(pack(point0.x), pack(point0.y)),
@@ -406,6 +408,57 @@ mod tests {
         );
     }
 
+    #[test]
+    #[cfg_attr(target_arch = "wasm32", wasm_bindgen_test)]
+    fn run_compute_slope_wdivmod_ok() {
+        let hint_code = "from starkware.cairo.common.cairo_secp.secp_utils import SECP_P, pack\nfrom starkware.python.math_utils import div_mod\n\n# Compute the slope.\nx0 = pack(ids.pt0.x, PRIME)\ny0 = pack(ids.pt0.y, PRIME)\nx1 = pack(ids.pt1.x, PRIME)\ny1 = pack(ids.pt1.y, PRIME)\nvalue = slope = div_mod(y0 - y1, x0 - x1, SECP_P)";
+        let mut vm = vm_with_range_check!();
+
+        // Insert ids.pt0 and ids.pt1 into memory
+        vm.segments = segments![
+            ((1, 0), 134),
+            ((1, 1), 5123),
+            ((1, 2), 140),
+            ((1, 3), 1232),
+            ((1, 4), 4652),
+            ((1, 5), 720),
+            ((1, 6), 156),
+            ((1, 7), 6545),
+            ((1, 8), 100010),
+            ((1, 9), 1123),
+            ((1, 10), 1325),
+            ((1, 11), 910)
+        ];
+
+        // Initialize fp
+        vm.run_context.fp = 14;
+        let ids_data = HashMap::from([
+            ("pt0".to_string(), HintReference::new_simple(-14)),
+            ("pt1".to_string(), HintReference::new_simple(-8)),
+        ]);
+        let mut exec_scopes = ExecutionScopes::new();
+
+        // Execute the hint
+        assert_matches!(run_hint!(vm, ids_data, hint_code, &mut exec_scopes), Ok(()));
+        check_scope!(
+            &exec_scopes,
+            [
+                (
+                    "value",
+                    bigint_str!(
+            "41419765295989780131385135514529906223027172305400087935755859001910844026631"
+        )
+                ),
+                (
+                    "slope",
+                    bigint_str!(
+            "41419765295989780131385135514529906223027172305400087935755859001910844026631"
+        )
+                )
+            ]
+        );
+    }
+
     #[test]
     #[cfg_attr(target_arch = "wasm32", wasm_bindgen_test)]
     fn run_ec_double_assign_new_x_ok() {

src/tests/cairo_run_test.rs

@@ -1294,3 +1294,10 @@ fn cairo_run_uint384() {
     let program_data = include_bytes!("../../cairo_programs/uint384.json");
     run_program_simple(program_data.as_slice());
 }
+
+#[test]
+#[cfg_attr(target_arch = "wasm32", wasm_bindgen_test)]
+fn cairo_run_ed25519_ec() {
+    let program_data = include_bytes!("../../cairo_programs/ed25519_ec.json");
+    run_program_simple(program_data.as_slice());
+}