Sapling incremental witnesses

2018-10-10 17:43:02 +01:00 · 2018-10-10 17:43:02 +01:00 · 667d6101c9
parent bf74915053
commit 667d6101c9
1 changed files with 366 additions and 8 deletions
--- a/zcash_primitives/src/merkle_tree.rs
+++ b/zcash_primitives/src/merkle_tree.rs
@ -3,6 +3,7 @@ use ff::{PrimeField, PrimeFieldRepr};
 use pairing::bls12_381::{Bls12, Fr, FrRepr};
 use sapling_crypto::{circuit::sapling::TREE_DEPTH, primitives::Note};
 use std::collections::VecDeque;
+use std::iter;

 use sapling::merkle_hash;

@ -16,7 +17,7 @@ trait Hashable: Clone + Copy {
    fn blank() -> Self;
 }

-#[derive(Clone, Copy)]
+#[derive(Clone, Copy, Debug, PartialEq)]
 pub struct Node {
    repr: FrRepr,
 }
@ -75,6 +76,7 @@ impl PathFiller {
 }

 /// A Merkle tree of Sapling note commitments.
+#[derive(Clone)]
 pub struct CommitmentTree {
    left: Option<Node>,
    right: Option<Node>,
@ -192,25 +194,203 @@ impl CommitmentTree {
    }
 }

+#[derive(Clone)]
+pub struct IncrementalWitness {
+    tree: CommitmentTree,
+    filled: Vec<Node>,
+    cursor_depth: usize,
+    cursor: Option<CommitmentTree>,
+}
+
+impl IncrementalWitness {
+    pub fn from_tree(tree: &CommitmentTree) -> IncrementalWitness {
+        IncrementalWitness {
+            tree: tree.clone(),
+            filled: vec![],
+            cursor_depth: 0,
+            cursor: None,
+        }
+    }
+
+    /// Returns the position of the witnessed note in the commitment tree.
+    pub fn position(&self) -> usize {
+        self.tree.size() - 1
+    }
+
+    fn filler(&self) -> PathFiller {
+        let cursor_root = self
+            .cursor
+            .as_ref()
+            .map(|c| c.root_inner(self.cursor_depth, PathFiller::empty()));
+
+        let queue = if let Some(node) = cursor_root {
+            self.filled
+                .iter()
+                .cloned()
+                .chain(iter::once(node))
+                .collect()
+        } else {
+            self.filled.iter().cloned().collect()
+        };
+
+        PathFiller { queue }
+    }
+
+    /// Finds the next "depth" of an unfilled subtree.
+    fn next_depth(&self) -> usize {
+        let mut skip = self.filled.len();
+
+        if self.tree.left.is_none() {
+            if skip > 0 {
+                skip -= 1;
+            } else {
+                return 0;
+            }
+        }
+
+        if self.tree.right.is_none() {
+            if skip > 0 {
+                skip -= 1;
+            } else {
+                return 0;
+            }
+        }
+
+        let mut d = 1;
+        for p in &self.tree.parents {
+            if p.is_none() {
+                if skip > 0 {
+                    skip -= 1;
+                } else {
+                    return d;
+                }
+            }
+            d += 1;
+        }
+
+        d + skip
+    }
+
+    /// Tracks a note that has been added to the underlying tree. Returns an
+    /// error if the tree is full.
+    pub fn append(&mut self, node: Node) -> Result<(), ()> {
+        self.append_inner(node, SAPLING_COMMITMENT_TREE_DEPTH)
+    }
+
+    fn append_inner(&mut self, node: Node, depth: usize) -> Result<(), ()> {
+        if let Some(mut cursor) = self.cursor.take() {
+            cursor
+                .append_inner(node, depth)
+                .expect("cursor should not be full");
+            if cursor.is_complete(self.cursor_depth) {
+                self.filled
+                    .push(cursor.root_inner(self.cursor_depth, PathFiller::empty()));
+            } else {
+                self.cursor = Some(cursor);
+            }
+        } else {
+            self.cursor_depth = self.next_depth();
+            if self.cursor_depth >= depth {
+                // Tree is full
+                return Err(());
+            }
+
+            if self.cursor_depth == 0 {
+                self.filled.push(node);
+            } else {
+                let mut cursor = CommitmentTree::new();
+                cursor
+                    .append_inner(node, depth)
+                    .expect("cursor should not be full");
+                self.cursor = Some(cursor);
+            }
+        }
+
+        Ok(())
+    }
+
+    /// Returns the current root of the tree corresponding to the witness.
+    pub fn root(&self) -> Node {
+        self.root_inner(SAPLING_COMMITMENT_TREE_DEPTH)
+    }
+
+    fn root_inner(&self, depth: usize) -> Node {
+        self.tree.root_inner(depth, self.filler())
+    }
+
+    /// Returns the current witness, or None if the tree is empty.
+    pub fn path(&self) -> Option<CommitmentTreeWitness> {
+        self.path_inner(SAPLING_COMMITMENT_TREE_DEPTH)
+    }
+
+    fn path_inner(&self, depth: usize) -> Option<CommitmentTreeWitness> {
+        let mut filler = self.filler();
+        let mut auth_path = Vec::new();
+
+        if let Some(node) = self.tree.left {
+            if self.tree.right.is_some() {
+                auth_path.push(Some((node, true)));
+            } else {
+                auth_path.push(Some((filler.next(0), false)));
+            }
+        } else {
+            // Can't create an authentication path for the beginning of the tree
+            return None;
+        }
+
+        for (i, p) in self.tree.parents.iter().enumerate() {
+            auth_path.push(match p {
+                Some(node) => Some((*node, true)),
+                None => Some((filler.next(i + 1), false)),
+            });
+        }
+
+        for i in self.tree.parents.len()..(depth - 1) {
+            auth_path.push(Some((filler.next(i + 1), false)));
+        }
+        assert_eq!(auth_path.len(), depth);
+
+        Some(CommitmentTreeWitness::from_path(
+            auth_path
+                .iter()
+                .map(|n| n.map(|(node, b)| (node.into(), b)))
+                .collect(),
+            self.position() as u64,
+        ))
+    }
+}
+
 /// A witness to a path from a position in a particular Sapling commitment tree
 /// to the root of that tree.
+#[derive(Debug, PartialEq)]
 pub struct CommitmentTreeWitness {
    pub auth_path: Vec<Option<(Fr, bool)>>,
    pub position: u64,
 }

 impl CommitmentTreeWitness {
-    pub fn from_slice(mut witness: &[u8]) -> Result<Self, ()> {
+    pub fn from_path(auth_path: Vec<Option<(Fr, bool)>>, position: u64) -> Self {
+        CommitmentTreeWitness {
+            auth_path,
+            position,
+        }
+    }
+
+    pub fn from_slice(witness: &[u8]) -> Result<Self, ()> {
+        Self::from_slice_with_depth(witness, TREE_DEPTH)
+    }
+
+    pub fn from_slice_with_depth(mut witness: &[u8], depth: usize) -> Result<Self, ()> {
        // Skip the first byte, which should be "32" to signify the length of
        // the following vector of Pedersen hashes.
-        assert_eq!(witness[0], TREE_DEPTH as u8);
+        assert_eq!(witness[0], depth as u8);
        witness = &witness[1..];

        // Begin to construct the authentication path
-        let mut auth_path = vec![None; TREE_DEPTH];
+        let mut auth_path = vec![None; depth];

        // The vector works in reverse
-        for i in (0..TREE_DEPTH).rev() {
+        for i in (0..depth).rev() {
            // skip length of inner vector
            assert_eq!(witness[0], 32); // the length of a pedersen hash
            witness = &witness[1..];
@ -244,7 +424,7 @@ impl CommitmentTreeWitness {
        // Given the position, let's finish constructing the authentication
        // path
        let mut tmp = position;
-        for i in 0..TREE_DEPTH {
+        for i in 0..depth {
            auth_path[i].as_mut().map(|p| p.1 = (tmp & 1) == 1);

            tmp >>= 1;
@ -264,7 +444,10 @@ impl CommitmentTreeWitness {

 #[cfg(test)]
 mod tests {
-    use super::{CommitmentTree, Hashable, Node, PathFiller, EMPTY_ROOTS};
+    use super::{
+        CommitmentTree, CommitmentTreeWitness, Hashable, IncrementalWitness, Node, PathFiller,
+        EMPTY_ROOTS,
+    };

    use ff::PrimeFieldRepr;
    use hex;
@ -328,6 +511,26 @@ mod tests {
        }
    }

+    struct TestIncrementalWitness(IncrementalWitness);
+
+    impl TestIncrementalWitness {
+        fn from_tree(tree: &TestCommitmentTree) -> Self {
+            TestIncrementalWitness(IncrementalWitness::from_tree(&tree.0))
+        }
+
+        fn append(&mut self, node: Node) -> Result<(), ()> {
+            self.0.append_inner(node, TESTING_DEPTH)
+        }
+
+        fn root(&self) -> Node {
+            self.0.root_inner(TESTING_DEPTH)
+        }
+
+        fn path(&self) -> Option<CommitmentTreeWitness> {
+            self.0.path_inner(TESTING_DEPTH)
+        }
+    }
+
    #[test]
    fn empty_root_test_vectors() {
        let mut tmp = [0u8; 32];
@ -410,6 +613,130 @@ mod tests {
            "5c0bea7e17bde5bee4eb795c2eec3d389a68da587b36dd687b134826ecc09308",
        ];

+        // From https://github.com/zcash/zcash/blob/master/src/test/data/merkle_path_sapling.json
+        let paths = [
+            "0420d8283386ef2ef07ebdbb4383c12a739a953a4d6e0d6fb1139a4036d693bfbb6c20ffe9fc03f18b176c998806439ff0bb8ad193afdb27b2ccbc88856916dd804e3420817de36ab2d57feb077634bca77819c8e0bd298c04f6fed0e6a83cc1356ca15520225747f3b5d5dab4e5a424f81f85c904ff43286e0f3fd07ef0b8c6a627b114580000000000000000",
+            "0420d8283386ef2ef07ebdbb4383c12a739a953a4d6e0d6fb1139a4036d693bfbb6c20ffe9fc03f18b176c998806439ff0bb8ad193afdb27b2ccbc88856916dd804e342037b3a0921a4047e617bde62b8958f86c010e6af6cc650959b9f50af8c7e8392620225747f3b5d5dab4e5a424f81f85c904ff43286e0f3fd07ef0b8c6a627b114580000000000000000",
+            "0420d8283386ef2ef07ebdbb4383c12a739a953a4d6e0d6fb1139a4036d693bfbb6c20ffe9fc03f18b176c998806439ff0bb8ad193afdb27b2ccbc88856916dd804e342037b3a0921a4047e617bde62b8958f86c010e6af6cc650959b9f50af8c7e8392620b02310f2e087e55bfd07ef5e242e3b87ee5d00c9ab52f61e6bd42542f93a6f550100000000000000",
+            "0420d8283386ef2ef07ebdbb4383c12a739a953a4d6e0d6fb1139a4036d693bfbb6c20ffe9fc03f18b176c998806439ff0bb8ad193afdb27b2ccbc88856916dd804e3420f2c6ff34520c4ed63159b5ad4e99712fe64e3b4add73c66218e9797ac15a826420225747f3b5d5dab4e5a424f81f85c904ff43286e0f3fd07ef0b8c6a627b114580000000000000000",
+            "0420d8283386ef2ef07ebdbb4383c12a739a953a4d6e0d6fb1139a4036d693bfbb6c20ffe9fc03f18b176c998806439ff0bb8ad193afdb27b2ccbc88856916dd804e3420f2c6ff34520c4ed63159b5ad4e99712fe64e3b4add73c66218e9797ac15a826420b02310f2e087e55bfd07ef5e242e3b87ee5d00c9ab52f61e6bd42542f93a6f550100000000000000",
+            "0420d8283386ef2ef07ebdbb4383c12a739a953a4d6e0d6fb1139a4036d693bfbb6c20ffe9fc03f18b176c998806439ff0bb8ad193afdb27b2ccbc88856916dd804e342062324ff2c329e99193a74d28a585a3c167a93bf41a255135529c913bd9b1e6662050421d6c2c94571dfaaa135a4ff15bf916681ebd62c0e43e69e3b90684d0a0300200000000000000",
+            "0420d8283386ef2ef07ebdbb4383c12a739a953a4d6e0d6fb1139a4036d693bfbb6c2031d39685384e4ea322594d99a15aa8bdd8cc5cd6724410fa385b8d5447f1740220f2c6ff34520c4ed63159b5ad4e99712fe64e3b4add73c66218e9797ac15a826420225747f3b5d5dab4e5a424f81f85c904ff43286e0f3fd07ef0b8c6a627b114580000000000000000",
+            "0420d8283386ef2ef07ebdbb4383c12a739a953a4d6e0d6fb1139a4036d693bfbb6c2031d39685384e4ea322594d99a15aa8bdd8cc5cd6724410fa385b8d5447f1740220f2c6ff34520c4ed63159b5ad4e99712fe64e3b4add73c66218e9797ac15a826420b02310f2e087e55bfd07ef5e242e3b87ee5d00c9ab52f61e6bd42542f93a6f550100000000000000",
+            "0420d8283386ef2ef07ebdbb4383c12a739a953a4d6e0d6fb1139a4036d693bfbb6c2031d39685384e4ea322594d99a15aa8bdd8cc5cd6724410fa385b8d5447f174022062324ff2c329e99193a74d28a585a3c167a93bf41a255135529c913bd9b1e6662050421d6c2c94571dfaaa135a4ff15bf916681ebd62c0e43e69e3b90684d0a0300200000000000000",
+            "0420d8283386ef2ef07ebdbb4383c12a739a953a4d6e0d6fb1139a4036d693bfbb6c2031d39685384e4ea322594d99a15aa8bdd8cc5cd6724410fa385b8d5447f174022062324ff2c329e99193a74d28a585a3c167a93bf41a255135529c913bd9b1e666207c3ea01a6e3a3d90cf59cd789e467044b5cd78eb2c84cc6816f960746d0e036c0300000000000000",
+            "0420d8283386ef2ef07ebdbb4383c12a739a953a4d6e0d6fb1139a4036d693bfbb6c20f0321eea8e13c2f3a567f894c9738759d9d01e64ec259caf2cecca61374c157320f2c6ff34520c4ed63159b5ad4e99712fe64e3b4add73c66218e9797ac15a826420225747f3b5d5dab4e5a424f81f85c904ff43286e0f3fd07ef0b8c6a627b114580000000000000000",
+            "0420d8283386ef2ef07ebdbb4383c12a739a953a4d6e0d6fb1139a4036d693bfbb6c20f0321eea8e13c2f3a567f894c9738759d9d01e64ec259caf2cecca61374c157320f2c6ff34520c4ed63159b5ad4e99712fe64e3b4add73c66218e9797ac15a826420b02310f2e087e55bfd07ef5e242e3b87ee5d00c9ab52f61e6bd42542f93a6f550100000000000000",
+            "0420d8283386ef2ef07ebdbb4383c12a739a953a4d6e0d6fb1139a4036d693bfbb6c20f0321eea8e13c2f3a567f894c9738759d9d01e64ec259caf2cecca61374c15732062324ff2c329e99193a74d28a585a3c167a93bf41a255135529c913bd9b1e6662050421d6c2c94571dfaaa135a4ff15bf916681ebd62c0e43e69e3b90684d0a0300200000000000000",
+            "0420d8283386ef2ef07ebdbb4383c12a739a953a4d6e0d6fb1139a4036d693bfbb6c20f0321eea8e13c2f3a567f894c9738759d9d01e64ec259caf2cecca61374c15732062324ff2c329e99193a74d28a585a3c167a93bf41a255135529c913bd9b1e666207c3ea01a6e3a3d90cf59cd789e467044b5cd78eb2c84cc6816f960746d0e036c0300000000000000",
+            "0420d8283386ef2ef07ebdbb4383c12a739a953a4d6e0d6fb1139a4036d693bfbb6c201fb189b02ad2f7c6b0d09bd5691c4896c28269da3d4ba768b1b446f65518656420817de36ab2d57feb077634bca77819c8e0bd298c04f6fed0e6a83cc1356ca15520f76748d40d5ee5f9a608512e7954dd515f86e8f6d009141c89163de1cf351a020400000000000000",
+            "0420d8283386ef2ef07ebdbb4383c12a739a953a4d6e0d6fb1139a4036d693bfbb6c2082c424de0185a63f6ce0aa65d3d55890748af44bb4bb5822a9a21df34546d32220f2c6ff34520c4ed63159b5ad4e99712fe64e3b4add73c66218e9797ac15a826420225747f3b5d5dab4e5a424f81f85c904ff43286e0f3fd07ef0b8c6a627b114580000000000000000",
+            "0420d8283386ef2ef07ebdbb4383c12a739a953a4d6e0d6fb1139a4036d693bfbb6c2082c424de0185a63f6ce0aa65d3d55890748af44bb4bb5822a9a21df34546d32220f2c6ff34520c4ed63159b5ad4e99712fe64e3b4add73c66218e9797ac15a826420b02310f2e087e55bfd07ef5e242e3b87ee5d00c9ab52f61e6bd42542f93a6f550100000000000000",
+            "0420d8283386ef2ef07ebdbb4383c12a739a953a4d6e0d6fb1139a4036d693bfbb6c2082c424de0185a63f6ce0aa65d3d55890748af44bb4bb5822a9a21df34546d3222062324ff2c329e99193a74d28a585a3c167a93bf41a255135529c913bd9b1e6662050421d6c2c94571dfaaa135a4ff15bf916681ebd62c0e43e69e3b90684d0a0300200000000000000",
+            "0420d8283386ef2ef07ebdbb4383c12a739a953a4d6e0d6fb1139a4036d693bfbb6c2082c424de0185a63f6ce0aa65d3d55890748af44bb4bb5822a9a21df34546d3222062324ff2c329e99193a74d28a585a3c167a93bf41a255135529c913bd9b1e666207c3ea01a6e3a3d90cf59cd789e467044b5cd78eb2c84cc6816f960746d0e036c0300000000000000",
+            "0420d8283386ef2ef07ebdbb4383c12a739a953a4d6e0d6fb1139a4036d693bfbb6c201fb189b02ad2f7c6b0d09bd5691c4896c28269da3d4ba768b1b446f655186564206ab2e08286c36f6fe4374baebdc28b97e2f1f4ea3544fafd8a6489f42824bf0e20f76748d40d5ee5f9a608512e7954dd515f86e8f6d009141c89163de1cf351a020400000000000000",
+            "0420d8283386ef2ef07ebdbb4383c12a739a953a4d6e0d6fb1139a4036d693bfbb6c201fb189b02ad2f7c6b0d09bd5691c4896c28269da3d4ba768b1b446f655186564206ab2e08286c36f6fe4374baebdc28b97e2f1f4ea3544fafd8a6489f42824bf0e20aaec63863aaa0b2e3b8009429bdddd455e59be6f40ccab887a32eb98723efc120500000000000000",
+            "0420d8283386ef2ef07ebdbb4383c12a739a953a4d6e0d6fb1139a4036d693bfbb6c20130adab3afe0931c42f058efb1381c2dce6cc768ad7964330146bf88b2b34f2420f2c6ff34520c4ed63159b5ad4e99712fe64e3b4add73c66218e9797ac15a826420225747f3b5d5dab4e5a424f81f85c904ff43286e0f3fd07ef0b8c6a627b114580000000000000000",
+            "0420d8283386ef2ef07ebdbb4383c12a739a953a4d6e0d6fb1139a4036d693bfbb6c20130adab3afe0931c42f058efb1381c2dce6cc768ad7964330146bf88b2b34f2420f2c6ff34520c4ed63159b5ad4e99712fe64e3b4add73c66218e9797ac15a826420b02310f2e087e55bfd07ef5e242e3b87ee5d00c9ab52f61e6bd42542f93a6f550100000000000000",
+            "0420d8283386ef2ef07ebdbb4383c12a739a953a4d6e0d6fb1139a4036d693bfbb6c20130adab3afe0931c42f058efb1381c2dce6cc768ad7964330146bf88b2b34f242062324ff2c329e99193a74d28a585a3c167a93bf41a255135529c913bd9b1e6662050421d6c2c94571dfaaa135a4ff15bf916681ebd62c0e43e69e3b90684d0a0300200000000000000",
+            "0420d8283386ef2ef07ebdbb4383c12a739a953a4d6e0d6fb1139a4036d693bfbb6c20130adab3afe0931c42f058efb1381c2dce6cc768ad7964330146bf88b2b34f242062324ff2c329e99193a74d28a585a3c167a93bf41a255135529c913bd9b1e666207c3ea01a6e3a3d90cf59cd789e467044b5cd78eb2c84cc6816f960746d0e036c0300000000000000",
+            "0420d8283386ef2ef07ebdbb4383c12a739a953a4d6e0d6fb1139a4036d693bfbb6c201fb189b02ad2f7c6b0d09bd5691c4896c28269da3d4ba768b1b446f65518656420d0c26e22b78df58552b4fd61e8883a70f9011556b2e14b80ff23c591db7dbc4c20f76748d40d5ee5f9a608512e7954dd515f86e8f6d009141c89163de1cf351a020400000000000000",
+            "0420d8283386ef2ef07ebdbb4383c12a739a953a4d6e0d6fb1139a4036d693bfbb6c201fb189b02ad2f7c6b0d09bd5691c4896c28269da3d4ba768b1b446f65518656420d0c26e22b78df58552b4fd61e8883a70f9011556b2e14b80ff23c591db7dbc4c20aaec63863aaa0b2e3b8009429bdddd455e59be6f40ccab887a32eb98723efc120500000000000000",
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+        ];
+
        fn assert_root_eq(root: Node, expected: &str) {
            let mut tmp = [0u8; 32];
            root.repr
@ -421,6 +748,8 @@ mod tests {
        let mut tree = TestCommitmentTree::new();
        assert_eq!(tree.size(), 0);

+        let mut witnesses = vec![];
+        let mut paths_i = 0;
        for i in 0..16 {
            let mut cm = FrRepr::default();
            cm.read_le(&hex::decode(commitments[i]).unwrap()[..])
@ -428,7 +757,10 @@ mod tests {

            let cm = Node::new(cm);

-            // Append a commitment to the tree
+            // Witness here
+            witnesses.push(TestIncrementalWitness::from_tree(&tree));
+
+            // Now append a commitment to the tree
            assert!(tree.append(cm).is_ok());

            // Size incremented by one.
@ -436,10 +768,36 @@ mod tests {

            // Check tree root consistency
            assert_root_eq(tree.root(), roots[i]);
+
+            let mut first = true; // The first witness can never form a path
+            for witness in witnesses.as_mut_slice() {
+                // Append the same commitment to all the witnesses
+                assert!(witness.append(cm).is_ok());
+
+                if first {
+                    assert!(witness.path().is_none());
+                } else {
+                    let path = witness.path().expect("should be able to create a path");
+                    let expected = CommitmentTreeWitness::from_slice_with_depth(
+                        &mut hex::decode(paths[paths_i]).unwrap(),
+                        TESTING_DEPTH,
+                    )
+                    .unwrap();
+                    assert_eq!(path, expected);
+                    paths_i += 1;
+                }
+
+                assert_eq!(witness.root(), tree.root());
+
+                first = false;
+            }
        }

        // Tree should be full now
        let node = Node::blank();
        assert!(tree.append(node).is_err());
+        for witness in witnesses.as_mut_slice() {
+            assert!(witness.append(node).is_err());
+        }
    }
 }