2017-11-22 20:57:00 -08:00
|
|
|
#[cfg(test)]
|
|
|
|
pub mod test;
|
|
|
|
|
|
|
|
pub mod boolean;
|
|
|
|
pub mod uint32;
|
|
|
|
pub mod blake2s;
|
2017-12-14 14:41:37 -08:00
|
|
|
pub mod num;
|
2018-02-02 08:50:59 -08:00
|
|
|
pub mod lookup;
|
2018-02-20 17:18:29 -08:00
|
|
|
pub mod ecc;
|
2017-12-28 10:06:05 -08:00
|
|
|
pub mod pedersen_hash;
|
2017-11-22 20:57:00 -08:00
|
|
|
|
2018-02-22 10:36:44 -08:00
|
|
|
use pairing::{
|
|
|
|
PrimeField,
|
|
|
|
PrimeFieldRepr,
|
|
|
|
};
|
|
|
|
|
|
|
|
use bellman::{
|
|
|
|
SynthesisError,
|
|
|
|
ConstraintSystem,
|
|
|
|
Circuit
|
|
|
|
};
|
|
|
|
|
|
|
|
use jubjub::{
|
|
|
|
JubjubEngine,
|
2018-03-07 11:19:56 -08:00
|
|
|
PrimeOrder,
|
2018-02-22 10:36:44 -08:00
|
|
|
FixedGenerators,
|
|
|
|
edwards
|
|
|
|
};
|
2017-11-22 20:57:00 -08:00
|
|
|
|
2018-03-07 23:06:53 -08:00
|
|
|
use constants;
|
|
|
|
|
2018-03-07 23:41:47 -08:00
|
|
|
|
|
|
|
// TODO: This should probably be removed and we
|
|
|
|
// should use existing helper methods on `Option`
|
|
|
|
// for mapping with an error.
|
|
|
|
/// This basically is just an extension to `Option`
|
|
|
|
/// which allows for a convenient mapping to an
|
|
|
|
/// error on `None`.
|
2017-11-22 20:57:00 -08:00
|
|
|
trait Assignment<T> {
|
|
|
|
fn get(&self) -> Result<&T, SynthesisError>;
|
|
|
|
}
|
|
|
|
|
|
|
|
impl<T> Assignment<T> for Option<T> {
|
|
|
|
fn get(&self) -> Result<&T, SynthesisError> {
|
|
|
|
match *self {
|
|
|
|
Some(ref v) => Ok(v),
|
|
|
|
None => Err(SynthesisError::AssignmentMissing)
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
2018-02-22 10:36:44 -08:00
|
|
|
|
2018-03-07 23:41:47 -08:00
|
|
|
/// This is an instance of the `Spend` circuit.
|
2018-02-22 10:36:44 -08:00
|
|
|
pub struct Spend<'a, E: JubjubEngine> {
|
|
|
|
pub params: &'a E::Params,
|
|
|
|
/// Value of the note being spent
|
|
|
|
pub value: Option<u64>,
|
|
|
|
/// Randomness that will hide the value
|
|
|
|
pub value_randomness: Option<E::Fs>,
|
|
|
|
/// Key which allows the proof to be constructed
|
|
|
|
/// as defense-in-depth against a flaw in the
|
|
|
|
/// protocol that would otherwise be exploitable
|
|
|
|
/// by a holder of a viewing key.
|
|
|
|
pub rsk: Option<E::Fs>,
|
|
|
|
/// The public key that will be re-randomized for
|
|
|
|
/// use as a nullifier and signing key for the
|
|
|
|
/// transaction.
|
2018-03-07 22:59:04 -08:00
|
|
|
pub ak: Option<edwards::Point<E, PrimeOrder>>,
|
2018-02-22 10:36:44 -08:00
|
|
|
/// The diversified base used to compute pk_d.
|
2018-03-07 22:59:04 -08:00
|
|
|
pub g_d: Option<edwards::Point<E, PrimeOrder>>,
|
2018-02-22 10:36:44 -08:00
|
|
|
/// The randomness used to hide the note commitment data
|
|
|
|
pub commitment_randomness: Option<E::Fs>,
|
|
|
|
/// The authentication path of the commitment in the tree
|
|
|
|
pub auth_path: Vec<Option<(E::Fr, bool)>>
|
|
|
|
}
|
|
|
|
|
|
|
|
impl<'a, E: JubjubEngine> Circuit<E> for Spend<'a, E> {
|
|
|
|
fn synthesize<CS: ConstraintSystem<E>>(self, cs: &mut CS) -> Result<(), SynthesisError>
|
|
|
|
{
|
|
|
|
// Booleanize the value into little-endian bit order
|
2018-03-05 08:37:13 -08:00
|
|
|
let value_bits = boolean::u64_into_boolean_vec_le(
|
2018-02-22 10:36:44 -08:00
|
|
|
cs.namespace(|| "value"),
|
|
|
|
self.value
|
2018-03-05 08:37:13 -08:00
|
|
|
)?;
|
2018-02-22 10:36:44 -08:00
|
|
|
|
|
|
|
{
|
2018-03-07 23:41:47 -08:00
|
|
|
// Compute the note value in the exponent
|
2018-02-22 10:36:44 -08:00
|
|
|
let gv = ecc::fixed_base_multiplication(
|
|
|
|
cs.namespace(|| "compute the value in the exponent"),
|
|
|
|
FixedGenerators::ValueCommitmentValue,
|
|
|
|
&value_bits,
|
|
|
|
self.params
|
|
|
|
)?;
|
|
|
|
|
2018-03-07 23:41:47 -08:00
|
|
|
// Booleanize the randomness. This does not ensure
|
|
|
|
// the bit representation is "in the field" because
|
|
|
|
// it doesn't matter for security.
|
2018-03-05 09:52:56 -08:00
|
|
|
let hr = boolean::field_into_boolean_vec_le(
|
2018-02-22 10:36:44 -08:00
|
|
|
cs.namespace(|| "hr"),
|
|
|
|
self.value_randomness
|
2018-03-05 09:52:56 -08:00
|
|
|
)?;
|
2018-02-22 10:36:44 -08:00
|
|
|
|
2018-03-07 23:41:47 -08:00
|
|
|
// Compute the randomness in the exponent
|
2018-02-22 10:36:44 -08:00
|
|
|
let hr = ecc::fixed_base_multiplication(
|
|
|
|
cs.namespace(|| "computation of randomization for value commitment"),
|
|
|
|
FixedGenerators::ValueCommitmentRandomness,
|
|
|
|
&hr,
|
|
|
|
self.params
|
|
|
|
)?;
|
|
|
|
|
2018-03-07 23:41:47 -08:00
|
|
|
// Compute the Pedersen commitment to the value
|
2018-02-22 10:36:44 -08:00
|
|
|
let gvhr = gv.add(
|
|
|
|
cs.namespace(|| "computation of value commitment"),
|
|
|
|
&hr,
|
|
|
|
self.params
|
|
|
|
)?;
|
|
|
|
|
2018-03-07 23:41:47 -08:00
|
|
|
// Expose the commitment as an input to the circuit
|
2018-03-04 22:33:05 -08:00
|
|
|
gvhr.inputize(cs.namespace(|| "value commitment"))?;
|
2018-02-22 10:36:44 -08:00
|
|
|
}
|
|
|
|
|
|
|
|
// Compute rk = [rsk] ProvingPublicKey
|
|
|
|
let rk;
|
|
|
|
{
|
|
|
|
// Witness rsk as bits
|
2018-03-05 09:52:56 -08:00
|
|
|
let rsk = boolean::field_into_boolean_vec_le(
|
2018-02-22 10:36:44 -08:00
|
|
|
cs.namespace(|| "rsk"),
|
|
|
|
self.rsk
|
2018-03-05 09:52:56 -08:00
|
|
|
)?;
|
2018-02-22 10:36:44 -08:00
|
|
|
|
|
|
|
// NB: We don't ensure that the bit representation of rsk
|
|
|
|
// is "in the field" (Fs) because it's not used except to
|
|
|
|
// demonstrate the prover knows it. If they know a
|
|
|
|
// congruency then that's equivalent.
|
|
|
|
|
2018-03-07 23:41:47 -08:00
|
|
|
// Compute rk = [rsk] ProvingPublicKey
|
2018-02-22 10:36:44 -08:00
|
|
|
rk = ecc::fixed_base_multiplication(
|
|
|
|
cs.namespace(|| "computation of rk"),
|
2018-03-06 08:56:29 -08:00
|
|
|
FixedGenerators::ProofGenerationKey,
|
2018-02-22 10:36:44 -08:00
|
|
|
&rsk,
|
|
|
|
self.params
|
|
|
|
)?;
|
|
|
|
}
|
|
|
|
|
|
|
|
// Prover witnesses ak (ensures that it's on the curve)
|
|
|
|
let ak = ecc::EdwardsPoint::witness(
|
|
|
|
cs.namespace(|| "ak"),
|
|
|
|
self.ak,
|
|
|
|
self.params
|
|
|
|
)?;
|
|
|
|
|
2018-03-07 23:41:47 -08:00
|
|
|
// There are no sensible attacks on small order points
|
|
|
|
// of ak (that we're aware of!) but it's a cheap check,
|
|
|
|
// so we do it.
|
2018-03-05 16:46:12 -08:00
|
|
|
ak.assert_not_small_order(
|
|
|
|
cs.namespace(|| "ak not small order"),
|
|
|
|
self.params
|
|
|
|
)?;
|
|
|
|
|
2018-02-22 10:36:44 -08:00
|
|
|
// Unpack ak and rk for input to BLAKE2s
|
2018-03-07 23:41:47 -08:00
|
|
|
|
|
|
|
// This is the "viewing key" preimage for CRH^ivk
|
2018-02-22 10:36:44 -08:00
|
|
|
let mut vk = vec![];
|
2018-02-22 17:43:07 -08:00
|
|
|
vk.extend(
|
|
|
|
ak.repr(cs.namespace(|| "representation of ak"))?
|
|
|
|
);
|
2018-03-07 23:41:47 -08:00
|
|
|
|
|
|
|
// This is the nullifier randomness preimage for PRF^nr
|
|
|
|
let mut nr_preimage = vec![];
|
|
|
|
|
|
|
|
// Extend vk and nr preimages with the representation of
|
|
|
|
// rk.
|
2018-02-22 10:36:44 -08:00
|
|
|
{
|
2018-02-22 17:43:07 -08:00
|
|
|
let repr_rk = rk.repr(
|
|
|
|
cs.namespace(|| "representation of rk")
|
2018-02-22 10:36:44 -08:00
|
|
|
)?;
|
|
|
|
|
2018-02-22 17:43:07 -08:00
|
|
|
vk.extend(repr_rk.iter().cloned());
|
2018-03-07 23:41:47 -08:00
|
|
|
nr_preimage.extend(repr_rk);
|
2018-02-22 10:36:44 -08:00
|
|
|
}
|
|
|
|
|
|
|
|
assert_eq!(vk.len(), 512);
|
2018-03-07 23:41:47 -08:00
|
|
|
assert_eq!(nr_preimage.len(), 256);
|
2018-02-22 10:36:44 -08:00
|
|
|
|
2018-03-07 23:41:47 -08:00
|
|
|
// Compute the incoming viewing key ivk
|
2018-02-22 10:36:44 -08:00
|
|
|
let mut ivk = blake2s::blake2s(
|
|
|
|
cs.namespace(|| "computation of ivk"),
|
2018-03-05 18:21:41 -08:00
|
|
|
&vk,
|
2018-03-07 23:06:53 -08:00
|
|
|
constants::CRH_IVK_PERSONALIZATION
|
2018-02-22 10:36:44 -08:00
|
|
|
)?;
|
|
|
|
|
|
|
|
// Little endian bit order
|
|
|
|
ivk.reverse();
|
|
|
|
|
2018-03-07 23:41:47 -08:00
|
|
|
// drop_5 to ensure it's in the field
|
|
|
|
ivk.truncate(E::Fs::CAPACITY as usize);
|
|
|
|
|
|
|
|
// Witness g_d. Ensures the point is on the
|
|
|
|
// curve, but not its order. If the prover
|
|
|
|
// manages to witness a commitment in the
|
|
|
|
// tree, then the Output circuit would have
|
|
|
|
// already guaranteed this.
|
|
|
|
// TODO: We might as well just perform the
|
|
|
|
// check again here, since it's not expensive.
|
2018-02-22 10:36:44 -08:00
|
|
|
let g_d = ecc::EdwardsPoint::witness(
|
|
|
|
cs.namespace(|| "witness g_d"),
|
|
|
|
self.g_d,
|
|
|
|
self.params
|
|
|
|
)?;
|
|
|
|
|
2018-03-07 23:41:47 -08:00
|
|
|
// Compute pk_d = g_d^ivk
|
2018-02-22 10:36:44 -08:00
|
|
|
let pk_d = g_d.mul(
|
|
|
|
cs.namespace(|| "compute pk_d"),
|
|
|
|
&ivk,
|
|
|
|
self.params
|
|
|
|
)?;
|
|
|
|
|
|
|
|
// Compute note contents
|
2018-03-07 23:41:47 -08:00
|
|
|
// value (in big endian) followed by g_d and pk_d
|
2018-02-22 10:36:44 -08:00
|
|
|
let mut note_contents = vec![];
|
2018-03-05 15:10:55 -08:00
|
|
|
note_contents.extend(value_bits.into_iter().rev());
|
2018-02-22 17:43:07 -08:00
|
|
|
note_contents.extend(
|
|
|
|
g_d.repr(cs.namespace(|| "representation of g_d"))?
|
|
|
|
);
|
|
|
|
note_contents.extend(
|
|
|
|
pk_d.repr(cs.namespace(|| "representation of pk_d"))?
|
|
|
|
);
|
2018-02-22 10:36:44 -08:00
|
|
|
|
|
|
|
assert_eq!(
|
|
|
|
note_contents.len(),
|
|
|
|
64 + // value
|
|
|
|
256 + // g_d
|
|
|
|
256 // p_d
|
|
|
|
);
|
|
|
|
|
|
|
|
// Compute the hash of the note contents
|
|
|
|
let mut cm = pedersen_hash::pedersen_hash(
|
|
|
|
cs.namespace(|| "note content hash"),
|
|
|
|
pedersen_hash::Personalization::NoteCommitment,
|
|
|
|
¬e_contents,
|
|
|
|
self.params
|
|
|
|
)?;
|
|
|
|
|
|
|
|
{
|
2018-03-07 23:41:47 -08:00
|
|
|
// Booleanize the randomness for the note commitment
|
2018-03-05 09:52:56 -08:00
|
|
|
let cmr = boolean::field_into_boolean_vec_le(
|
2018-02-22 10:36:44 -08:00
|
|
|
cs.namespace(|| "cmr"),
|
|
|
|
self.commitment_randomness
|
2018-03-05 09:52:56 -08:00
|
|
|
)?;
|
2018-02-22 10:36:44 -08:00
|
|
|
|
2018-03-07 23:41:47 -08:00
|
|
|
// Compute the note commitment randomness in the exponent
|
2018-02-22 10:36:44 -08:00
|
|
|
let cmr = ecc::fixed_base_multiplication(
|
|
|
|
cs.namespace(|| "computation of commitment randomness"),
|
|
|
|
FixedGenerators::NoteCommitmentRandomness,
|
|
|
|
&cmr,
|
|
|
|
self.params
|
|
|
|
)?;
|
|
|
|
|
2018-03-07 23:41:47 -08:00
|
|
|
// Randomize the note commitment. Pedersen hashes are not
|
|
|
|
// themselves hiding commitments.
|
2018-02-22 10:36:44 -08:00
|
|
|
cm = cm.add(
|
|
|
|
cs.namespace(|| "randomization of note commitment"),
|
|
|
|
&cmr,
|
|
|
|
self.params
|
|
|
|
)?;
|
|
|
|
}
|
|
|
|
|
2018-02-23 17:09:26 -08:00
|
|
|
let tree_depth = self.auth_path.len();
|
2018-02-22 10:36:44 -08:00
|
|
|
|
2018-03-07 23:41:47 -08:00
|
|
|
// This will store (least significant bit first)
|
|
|
|
// the position of the note in the tree, for use
|
|
|
|
// in nullifier computation.
|
2018-02-22 10:36:44 -08:00
|
|
|
let mut position_bits = vec![];
|
|
|
|
|
2018-03-07 23:41:47 -08:00
|
|
|
// This is an injective encoding, as cur is a
|
|
|
|
// point in the prime order subgroup.
|
2018-03-06 07:38:34 -08:00
|
|
|
let mut cur = cm.get_x().clone();
|
2018-02-22 10:36:44 -08:00
|
|
|
|
|
|
|
for (i, e) in self.auth_path.into_iter().enumerate() {
|
|
|
|
let cs = &mut cs.namespace(|| format!("merkle tree hash {}", i));
|
|
|
|
|
2018-03-07 23:41:47 -08:00
|
|
|
// Determines if the current subtree is the "right" leaf at this
|
|
|
|
// depth of the tree.
|
2018-02-22 10:36:44 -08:00
|
|
|
let cur_is_right = boolean::Boolean::from(boolean::AllocatedBit::alloc(
|
|
|
|
cs.namespace(|| "position bit"),
|
|
|
|
e.map(|e| e.1)
|
|
|
|
)?);
|
|
|
|
|
2018-03-07 23:41:47 -08:00
|
|
|
// Push this boolean for nullifier computation later
|
2018-02-22 10:36:44 -08:00
|
|
|
position_bits.push(cur_is_right.clone());
|
|
|
|
|
2018-03-07 23:41:47 -08:00
|
|
|
// Witness the authentication path element adjacent
|
|
|
|
// at this depth.
|
2018-02-22 10:36:44 -08:00
|
|
|
let path_element = num::AllocatedNum::alloc(
|
|
|
|
cs.namespace(|| "path element"),
|
|
|
|
|| {
|
|
|
|
Ok(e.get()?.0)
|
|
|
|
}
|
|
|
|
)?;
|
|
|
|
|
2018-03-07 23:41:47 -08:00
|
|
|
// Swap the two if the current subtree is on the right
|
2018-02-22 10:36:44 -08:00
|
|
|
let (xl, xr) = num::AllocatedNum::conditionally_reverse(
|
|
|
|
cs.namespace(|| "conditional reversal of preimage"),
|
|
|
|
&cur,
|
|
|
|
&path_element,
|
|
|
|
&cur_is_right
|
|
|
|
)?;
|
|
|
|
|
|
|
|
// We don't need to be strict, because the function is
|
2018-03-05 14:12:51 -08:00
|
|
|
// collision-resistant. If the prover witnesses a congruency,
|
|
|
|
// they will be unable to find an authentication path in the
|
|
|
|
// tree with high probability.
|
2018-02-22 10:36:44 -08:00
|
|
|
let mut preimage = vec![];
|
2018-03-05 14:12:51 -08:00
|
|
|
preimage.extend(xl.into_bits_le(cs.namespace(|| "xl into bits"))?);
|
|
|
|
preimage.extend(xr.into_bits_le(cs.namespace(|| "xr into bits"))?);
|
2018-02-22 10:36:44 -08:00
|
|
|
|
2018-03-07 23:41:47 -08:00
|
|
|
// Compute the new subtree value
|
2018-02-22 10:36:44 -08:00
|
|
|
cur = pedersen_hash::pedersen_hash(
|
|
|
|
cs.namespace(|| "computation of pedersen hash"),
|
2018-03-05 16:27:55 -08:00
|
|
|
pedersen_hash::Personalization::MerkleTree(i),
|
2018-02-22 10:36:44 -08:00
|
|
|
&preimage,
|
|
|
|
self.params
|
2018-03-06 07:38:34 -08:00
|
|
|
)?.get_x().clone(); // Injective encoding
|
2018-02-22 10:36:44 -08:00
|
|
|
}
|
|
|
|
|
2018-02-23 17:09:26 -08:00
|
|
|
assert_eq!(position_bits.len(), tree_depth);
|
|
|
|
|
2018-03-04 22:33:05 -08:00
|
|
|
// Expose the anchor
|
|
|
|
cur.inputize(cs.namespace(|| "anchor"))?;
|
2018-02-22 10:36:44 -08:00
|
|
|
|
2018-03-07 23:41:47 -08:00
|
|
|
// Compute the cm + g^position for preventing
|
|
|
|
// faerie gold attacks
|
2018-02-22 10:36:44 -08:00
|
|
|
{
|
2018-03-07 23:41:47 -08:00
|
|
|
// Compute the position in the exponent
|
2018-02-22 17:43:07 -08:00
|
|
|
let position = ecc::fixed_base_multiplication(
|
|
|
|
cs.namespace(|| "g^position"),
|
|
|
|
FixedGenerators::NullifierPosition,
|
|
|
|
&position_bits,
|
|
|
|
self.params
|
2018-02-22 10:36:44 -08:00
|
|
|
)?;
|
|
|
|
|
2018-03-07 23:41:47 -08:00
|
|
|
// Add the position to the commitment
|
2018-02-22 17:43:07 -08:00
|
|
|
cm = cm.add(
|
|
|
|
cs.namespace(|| "faerie gold prevention"),
|
|
|
|
&position,
|
|
|
|
self.params
|
|
|
|
)?;
|
2018-02-22 10:36:44 -08:00
|
|
|
}
|
|
|
|
|
2018-03-07 23:41:47 -08:00
|
|
|
// Let's compute nr = BLAKE2s(rk || cm + position)
|
|
|
|
nr_preimage.extend(
|
2018-02-22 17:43:07 -08:00
|
|
|
cm.repr(cs.namespace(|| "representation of cm"))?
|
|
|
|
);
|
2018-02-23 17:09:26 -08:00
|
|
|
|
2018-03-07 23:41:47 -08:00
|
|
|
assert_eq!(nr_preimage.len(), 512);
|
2018-02-22 17:43:07 -08:00
|
|
|
|
2018-03-07 23:41:47 -08:00
|
|
|
// Compute nr
|
|
|
|
let mut nr = blake2s::blake2s(
|
|
|
|
cs.namespace(|| "nr computation"),
|
|
|
|
&nr_preimage,
|
2018-03-07 23:06:53 -08:00
|
|
|
constants::PRF_NR_PERSONALIZATION
|
2018-02-22 10:36:44 -08:00
|
|
|
)?;
|
|
|
|
|
|
|
|
// Little endian bit order
|
2018-03-07 23:41:47 -08:00
|
|
|
nr.reverse();
|
|
|
|
|
|
|
|
// We want the randomization in the field to
|
|
|
|
// simplify outside code.
|
|
|
|
// TODO: This isn't uniformly random.
|
|
|
|
nr.truncate(E::Fs::CAPACITY as usize);
|
2018-02-22 10:36:44 -08:00
|
|
|
|
|
|
|
// Compute nullifier
|
|
|
|
let nf = ak.mul(
|
|
|
|
cs.namespace(|| "computation of nf"),
|
2018-03-07 23:41:47 -08:00
|
|
|
&nr,
|
2018-02-22 10:36:44 -08:00
|
|
|
self.params
|
|
|
|
)?;
|
|
|
|
|
2018-03-07 23:41:47 -08:00
|
|
|
// Expose the nullifier publicly
|
2018-03-04 22:33:05 -08:00
|
|
|
nf.inputize(cs.namespace(|| "nullifier"))?;
|
2018-02-22 10:36:44 -08:00
|
|
|
|
|
|
|
Ok(())
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
/// This is an output circuit instance.
|
|
|
|
pub struct Output<'a, E: JubjubEngine> {
|
|
|
|
pub params: &'a E::Params,
|
|
|
|
/// Value of the note being created
|
|
|
|
pub value: Option<u64>,
|
|
|
|
/// Randomness that will hide the value
|
|
|
|
pub value_randomness: Option<E::Fs>,
|
|
|
|
/// The diversified base, computed by GH(d)
|
2018-03-07 11:19:56 -08:00
|
|
|
pub g_d: Option<edwards::Point<E, PrimeOrder>>,
|
2018-02-22 10:36:44 -08:00
|
|
|
/// The diversified address point, computed by GH(d)^ivk
|
2018-03-07 11:19:56 -08:00
|
|
|
pub pk_d: Option<edwards::Point<E, PrimeOrder>>,
|
2018-02-22 10:36:44 -08:00
|
|
|
/// The randomness used to hide the note commitment data
|
|
|
|
pub commitment_randomness: Option<E::Fs>,
|
|
|
|
/// The ephemeral secret key for DH with recipient
|
|
|
|
pub esk: Option<E::Fs>
|
|
|
|
}
|
|
|
|
|
|
|
|
impl<'a, E: JubjubEngine> Circuit<E> for Output<'a, E> {
|
|
|
|
fn synthesize<CS: ConstraintSystem<E>>(self, cs: &mut CS) -> Result<(), SynthesisError>
|
|
|
|
{
|
|
|
|
// Booleanize the value into little-endian bit order
|
2018-03-05 08:37:13 -08:00
|
|
|
let value_bits = boolean::u64_into_boolean_vec_le(
|
2018-02-22 10:36:44 -08:00
|
|
|
cs.namespace(|| "value"),
|
|
|
|
self.value
|
2018-03-05 08:37:13 -08:00
|
|
|
)?;
|
2018-02-22 10:36:44 -08:00
|
|
|
|
|
|
|
{
|
|
|
|
let gv = ecc::fixed_base_multiplication(
|
|
|
|
cs.namespace(|| "compute the value in the exponent"),
|
|
|
|
FixedGenerators::ValueCommitmentValue,
|
|
|
|
&value_bits,
|
|
|
|
self.params
|
|
|
|
)?;
|
|
|
|
|
|
|
|
// Booleanize the randomness
|
2018-03-05 09:52:56 -08:00
|
|
|
let hr = boolean::field_into_boolean_vec_le(
|
2018-02-22 10:36:44 -08:00
|
|
|
cs.namespace(|| "hr"),
|
|
|
|
self.value_randomness
|
2018-03-05 09:52:56 -08:00
|
|
|
)?;
|
2018-02-22 10:36:44 -08:00
|
|
|
|
|
|
|
let hr = ecc::fixed_base_multiplication(
|
|
|
|
cs.namespace(|| "computation of randomization for value commitment"),
|
|
|
|
FixedGenerators::ValueCommitmentRandomness,
|
|
|
|
&hr,
|
|
|
|
self.params
|
|
|
|
)?;
|
|
|
|
|
|
|
|
let gvhr = gv.add(
|
|
|
|
cs.namespace(|| "computation of value commitment"),
|
|
|
|
&hr,
|
|
|
|
self.params
|
|
|
|
)?;
|
|
|
|
|
2018-03-04 22:33:05 -08:00
|
|
|
gvhr.inputize(cs.namespace(|| "value commitment"))?;
|
2018-02-22 10:36:44 -08:00
|
|
|
}
|
|
|
|
|
|
|
|
// Let's start to construct our note
|
|
|
|
let mut note_contents = vec![];
|
2018-03-05 15:10:55 -08:00
|
|
|
note_contents.extend(value_bits.into_iter().rev());
|
2018-02-22 10:36:44 -08:00
|
|
|
|
|
|
|
// Let's deal with g_d
|
|
|
|
{
|
|
|
|
let g_d = ecc::EdwardsPoint::witness(
|
|
|
|
cs.namespace(|| "witness g_d"),
|
|
|
|
self.g_d,
|
|
|
|
self.params
|
|
|
|
)?;
|
|
|
|
|
2018-03-05 16:46:12 -08:00
|
|
|
g_d.assert_not_small_order(
|
|
|
|
cs.namespace(|| "g_d not small order"),
|
|
|
|
self.params
|
|
|
|
)?;
|
2018-02-22 10:36:44 -08:00
|
|
|
|
2018-02-22 17:43:07 -08:00
|
|
|
note_contents.extend(
|
|
|
|
g_d.repr(cs.namespace(|| "representation of g_d"))?
|
|
|
|
);
|
2018-02-22 10:36:44 -08:00
|
|
|
|
|
|
|
// Compute epk from esk
|
2018-03-05 09:52:56 -08:00
|
|
|
let esk = boolean::field_into_boolean_vec_le(
|
2018-02-22 10:36:44 -08:00
|
|
|
cs.namespace(|| "esk"),
|
|
|
|
self.esk
|
2018-03-05 09:52:56 -08:00
|
|
|
)?;
|
2018-02-22 10:36:44 -08:00
|
|
|
|
|
|
|
let epk = g_d.mul(
|
|
|
|
cs.namespace(|| "epk computation"),
|
|
|
|
&esk,
|
|
|
|
self.params
|
|
|
|
)?;
|
|
|
|
|
2018-03-04 22:33:05 -08:00
|
|
|
epk.inputize(cs.namespace(|| "epk"))?;
|
2018-02-22 10:36:44 -08:00
|
|
|
}
|
|
|
|
|
2018-03-07 11:19:56 -08:00
|
|
|
// Now let's deal with pk_d. We don't do any checks and
|
2018-02-22 10:36:44 -08:00
|
|
|
// essentially allow the prover to witness any 256 bits
|
|
|
|
// they would like.
|
|
|
|
{
|
2018-03-07 11:19:56 -08:00
|
|
|
let pk_d = self.pk_d.map(|e| e.into_xy());
|
2018-02-22 10:36:44 -08:00
|
|
|
|
2018-03-05 09:52:56 -08:00
|
|
|
let y_contents = boolean::field_into_boolean_vec_le(
|
2018-03-07 11:19:56 -08:00
|
|
|
cs.namespace(|| "pk_d bits of y"),
|
|
|
|
pk_d.map(|e| e.1)
|
2018-03-05 09:52:56 -08:00
|
|
|
)?;
|
2018-02-22 10:36:44 -08:00
|
|
|
|
|
|
|
let sign_bit = boolean::Boolean::from(boolean::AllocatedBit::alloc(
|
2018-03-07 11:19:56 -08:00
|
|
|
cs.namespace(|| "pk_d bit of x"),
|
|
|
|
pk_d.map(|e| e.0.into_repr().is_odd())
|
2018-02-22 10:36:44 -08:00
|
|
|
)?);
|
|
|
|
|
|
|
|
note_contents.extend(y_contents);
|
|
|
|
note_contents.push(sign_bit);
|
|
|
|
}
|
|
|
|
|
|
|
|
assert_eq!(
|
|
|
|
note_contents.len(),
|
|
|
|
64 + // value
|
|
|
|
256 + // g_d
|
|
|
|
256 // p_d
|
|
|
|
);
|
|
|
|
|
|
|
|
// Compute the hash of the note contents
|
|
|
|
let mut cm = pedersen_hash::pedersen_hash(
|
|
|
|
cs.namespace(|| "note content hash"),
|
|
|
|
pedersen_hash::Personalization::NoteCommitment,
|
|
|
|
¬e_contents,
|
|
|
|
self.params
|
|
|
|
)?;
|
|
|
|
|
|
|
|
{
|
|
|
|
// Booleanize the randomness
|
2018-03-05 09:52:56 -08:00
|
|
|
let cmr = boolean::field_into_boolean_vec_le(
|
2018-02-22 10:36:44 -08:00
|
|
|
cs.namespace(|| "cmr"),
|
|
|
|
self.commitment_randomness
|
2018-03-05 09:52:56 -08:00
|
|
|
)?;
|
2018-02-22 10:36:44 -08:00
|
|
|
|
|
|
|
let cmr = ecc::fixed_base_multiplication(
|
|
|
|
cs.namespace(|| "computation of commitment randomness"),
|
|
|
|
FixedGenerators::NoteCommitmentRandomness,
|
|
|
|
&cmr,
|
|
|
|
self.params
|
|
|
|
)?;
|
|
|
|
|
|
|
|
cm = cm.add(
|
|
|
|
cs.namespace(|| "randomization of note commitment"),
|
|
|
|
&cmr,
|
|
|
|
self.params
|
|
|
|
)?;
|
|
|
|
}
|
|
|
|
|
|
|
|
// Only the x-coordinate of the output is revealed,
|
|
|
|
// since we know it is prime order, and we know that
|
|
|
|
// the x-coordinate is an injective encoding for
|
|
|
|
// prime-order elements.
|
2018-03-06 07:38:34 -08:00
|
|
|
cm.get_x().inputize(cs.namespace(|| "commitment"))?;
|
2018-02-22 10:36:44 -08:00
|
|
|
|
|
|
|
Ok(())
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
#[test]
|
2018-02-24 07:01:16 -08:00
|
|
|
fn test_input_circuit_with_bls12_381() {
|
2018-03-07 22:59:04 -08:00
|
|
|
use pairing::{Field, BitIterator};
|
2018-02-22 10:36:44 -08:00
|
|
|
use pairing::bls12_381::*;
|
|
|
|
use rand::{SeedableRng, Rng, XorShiftRng};
|
|
|
|
use ::circuit::test::*;
|
2018-03-07 11:19:56 -08:00
|
|
|
use jubjub::{JubjubParams, JubjubBls12, fs};
|
2018-02-22 10:36:44 -08:00
|
|
|
|
|
|
|
let params = &JubjubBls12::new();
|
|
|
|
let rng = &mut XorShiftRng::from_seed([0x3dbe6259, 0x8d313d76, 0x3237db17, 0xe5bc0654]);
|
|
|
|
|
2018-03-06 09:04:02 -08:00
|
|
|
let tree_depth = 32;
|
2018-02-24 07:01:16 -08:00
|
|
|
|
|
|
|
let value: u64 = 1;
|
|
|
|
let value_randomness: fs::Fs = rng.gen();
|
2018-03-07 22:59:04 -08:00
|
|
|
|
2018-02-24 07:01:16 -08:00
|
|
|
let rsk: fs::Fs = rng.gen();
|
2018-03-07 22:59:04 -08:00
|
|
|
let ak: edwards::Point<Bls12, PrimeOrder> = edwards::Point::rand(rng, params).mul_by_cofactor(params);
|
|
|
|
|
|
|
|
let proof_generation_key = ::primitives::ProofGenerationKey {
|
|
|
|
ak: ak.clone(),
|
|
|
|
rsk: rsk.clone()
|
|
|
|
};
|
|
|
|
|
|
|
|
let viewing_key = proof_generation_key.into_viewing_key(params);
|
|
|
|
|
|
|
|
let payment_address;
|
|
|
|
|
|
|
|
loop {
|
|
|
|
let diversifier = ::primitives::Diversifier(rng.gen());
|
|
|
|
|
|
|
|
if let Some(p) = viewing_key.into_payment_address(
|
|
|
|
diversifier,
|
|
|
|
params
|
|
|
|
)
|
|
|
|
{
|
|
|
|
payment_address = p;
|
|
|
|
break;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
let g_d = payment_address.diversifier.g_d(params).unwrap();
|
|
|
|
let commitment_randomness: fs::Fs = rng.gen();
|
2018-02-24 07:01:16 -08:00
|
|
|
let auth_path = vec![Some((rng.gen(), rng.gen())); tree_depth];
|
|
|
|
|
|
|
|
{
|
|
|
|
let mut cs = TestConstraintSystem::<Bls12>::new();
|
|
|
|
|
|
|
|
let instance = Spend {
|
|
|
|
params: params,
|
|
|
|
value: Some(value),
|
|
|
|
value_randomness: Some(value_randomness),
|
|
|
|
rsk: Some(rsk),
|
|
|
|
ak: Some(ak),
|
2018-03-07 22:59:04 -08:00
|
|
|
g_d: Some(g_d.clone()),
|
2018-02-24 07:01:16 -08:00
|
|
|
commitment_randomness: Some(commitment_randomness),
|
2018-03-07 11:19:56 -08:00
|
|
|
auth_path: auth_path.clone()
|
2018-02-24 07:01:16 -08:00
|
|
|
};
|
|
|
|
|
|
|
|
instance.synthesize(&mut cs).unwrap();
|
|
|
|
|
|
|
|
assert!(cs.is_satisfied());
|
2018-03-06 09:04:02 -08:00
|
|
|
assert_eq!(cs.num_constraints(), 101550);
|
|
|
|
assert_eq!(cs.hash(), "3cc6d9383ca882ae3666267618e826e9d51a3177fc89ef6d42d9f63b84179f77");
|
2018-03-07 11:19:56 -08:00
|
|
|
|
|
|
|
let expected_value_cm = params.generator(FixedGenerators::ValueCommitmentValue)
|
|
|
|
.mul(fs::FsRepr::from(value), params)
|
|
|
|
.add(
|
|
|
|
¶ms.generator(FixedGenerators::ValueCommitmentRandomness)
|
|
|
|
.mul(value_randomness, params),
|
|
|
|
params
|
|
|
|
);
|
|
|
|
let expected_value_cm_xy = expected_value_cm.into_xy();
|
|
|
|
|
|
|
|
assert_eq!(cs.num_inputs(), 6);
|
|
|
|
assert_eq!(cs.get_input(0, "ONE"), Fr::one());
|
|
|
|
assert_eq!(cs.get_input(1, "value commitment/x/input variable"), expected_value_cm_xy.0);
|
|
|
|
assert_eq!(cs.get_input(2, "value commitment/y/input variable"), expected_value_cm_xy.1);
|
|
|
|
|
2018-03-07 22:59:04 -08:00
|
|
|
let note = ::primitives::Note {
|
|
|
|
value: value,
|
|
|
|
g_d: g_d.clone(),
|
|
|
|
pk_d: payment_address.pk_d.clone(),
|
|
|
|
r: commitment_randomness.clone()
|
|
|
|
};
|
|
|
|
|
|
|
|
let mut position = 0u64;
|
|
|
|
let mut cur = note.cm(params);
|
|
|
|
|
|
|
|
assert_eq!(cs.get("randomization of note commitment/x3/num"), cur);
|
|
|
|
|
|
|
|
for (i, val) in auth_path.into_iter().enumerate()
|
|
|
|
{
|
|
|
|
let (uncle, b) = val.unwrap();
|
|
|
|
|
|
|
|
let mut lhs = cur;
|
|
|
|
let mut rhs = uncle;
|
|
|
|
|
|
|
|
if b {
|
|
|
|
::std::mem::swap(&mut lhs, &mut rhs);
|
|
|
|
}
|
|
|
|
|
|
|
|
let mut lhs: Vec<bool> = BitIterator::new(lhs.into_repr()).collect();
|
|
|
|
let mut rhs: Vec<bool> = BitIterator::new(rhs.into_repr()).collect();
|
|
|
|
|
|
|
|
lhs.reverse();
|
|
|
|
rhs.reverse();
|
|
|
|
|
|
|
|
cur = ::pedersen_hash::pedersen_hash::<Bls12, _>(
|
|
|
|
::pedersen_hash::Personalization::MerkleTree(i),
|
|
|
|
lhs.into_iter()
|
|
|
|
.take(Fr::NUM_BITS as usize)
|
|
|
|
.chain(rhs.into_iter().take(Fr::NUM_BITS as usize)),
|
|
|
|
params
|
|
|
|
).into_xy().0;
|
|
|
|
|
|
|
|
if b {
|
|
|
|
position |= 1 << i;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
let expected_nf = note.nf(&viewing_key, position, params);
|
|
|
|
let expected_nf_xy = expected_nf.into_xy();
|
|
|
|
|
|
|
|
assert_eq!(cs.get_input(3, "anchor/input variable"), cur);
|
|
|
|
assert_eq!(cs.get_input(4, "nullifier/x/input variable"), expected_nf_xy.0);
|
|
|
|
assert_eq!(cs.get_input(5, "nullifier/y/input variable"), expected_nf_xy.1);
|
2018-02-24 07:01:16 -08:00
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
#[test]
|
|
|
|
fn test_output_circuit_with_bls12_381() {
|
2018-03-07 11:19:56 -08:00
|
|
|
use pairing::{Field};
|
2018-02-24 07:01:16 -08:00
|
|
|
use pairing::bls12_381::*;
|
|
|
|
use rand::{SeedableRng, Rng, XorShiftRng};
|
|
|
|
use ::circuit::test::*;
|
2018-03-07 11:19:56 -08:00
|
|
|
use jubjub::{JubjubParams, JubjubBls12, fs};
|
2018-02-24 07:01:16 -08:00
|
|
|
|
|
|
|
let params = &JubjubBls12::new();
|
|
|
|
let rng = &mut XorShiftRng::from_seed([0x3dbe6258, 0x8d313d76, 0x3237db17, 0xe5bc0654]);
|
|
|
|
|
2018-02-22 10:36:44 -08:00
|
|
|
let value: u64 = 1;
|
|
|
|
let value_randomness: fs::Fs = rng.gen();
|
2018-03-07 11:19:56 -08:00
|
|
|
let g_d: edwards::Point<Bls12, PrimeOrder> = edwards::Point::rand(rng, params).mul_by_cofactor(params);
|
|
|
|
let pk_d: edwards::Point<Bls12, PrimeOrder> = edwards::Point::rand(rng, params).mul_by_cofactor(params);
|
2018-02-22 10:36:44 -08:00
|
|
|
let commitment_randomness: fs::Fs = rng.gen();
|
|
|
|
let esk: fs::Fs = rng.gen();
|
|
|
|
|
|
|
|
{
|
|
|
|
let mut cs = TestConstraintSystem::<Bls12>::new();
|
|
|
|
|
|
|
|
let instance = Output {
|
|
|
|
params: params,
|
2018-02-23 17:09:26 -08:00
|
|
|
value: Some(value),
|
2018-02-22 10:36:44 -08:00
|
|
|
value_randomness: Some(value_randomness),
|
|
|
|
g_d: Some(g_d.clone()),
|
2018-03-07 11:19:56 -08:00
|
|
|
pk_d: Some(pk_d.clone()),
|
2018-02-22 10:36:44 -08:00
|
|
|
commitment_randomness: Some(commitment_randomness),
|
|
|
|
esk: Some(esk.clone())
|
|
|
|
};
|
|
|
|
|
|
|
|
instance.synthesize(&mut cs).unwrap();
|
|
|
|
|
|
|
|
assert!(cs.is_satisfied());
|
2018-02-23 10:15:14 -08:00
|
|
|
assert_eq!(cs.num_constraints(), 7827);
|
2018-03-06 07:30:28 -08:00
|
|
|
assert_eq!(cs.hash(), "2896f259ad7a50c83604976ee9362358396d547b70f2feaf91d82d287e4ffc1d");
|
2018-03-07 11:19:56 -08:00
|
|
|
|
|
|
|
let expected_cm = ::primitives::Note {
|
|
|
|
value: value,
|
|
|
|
g_d: g_d.clone(),
|
|
|
|
pk_d: pk_d.clone(),
|
|
|
|
r: commitment_randomness.clone()
|
|
|
|
}.cm(params);
|
|
|
|
|
|
|
|
let expected_value_cm = params.generator(FixedGenerators::ValueCommitmentValue)
|
|
|
|
.mul(fs::FsRepr::from(value), params)
|
|
|
|
.add(
|
|
|
|
¶ms.generator(FixedGenerators::ValueCommitmentRandomness)
|
|
|
|
.mul(value_randomness, params),
|
|
|
|
params
|
|
|
|
);
|
|
|
|
let expected_value_cm_xy = expected_value_cm.into_xy();
|
|
|
|
|
|
|
|
let expected_epk = g_d.mul(esk, params);
|
|
|
|
let expected_epk_xy = expected_epk.into_xy();
|
|
|
|
|
|
|
|
assert_eq!(cs.num_inputs(), 6);
|
|
|
|
assert_eq!(cs.get_input(0, "ONE"), Fr::one());
|
|
|
|
assert_eq!(cs.get_input(1, "value commitment/x/input variable"), expected_value_cm_xy.0);
|
|
|
|
assert_eq!(cs.get_input(2, "value commitment/y/input variable"), expected_value_cm_xy.1);
|
|
|
|
assert_eq!(cs.get_input(3, "epk/x/input variable"), expected_epk_xy.0);
|
|
|
|
assert_eq!(cs.get_input(4, "epk/y/input variable"), expected_epk_xy.1);
|
|
|
|
assert_eq!(cs.get_input(5, "commitment/input variable"), expected_cm);
|
2018-02-22 10:36:44 -08:00
|
|
|
}
|
|
|
|
}
|