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@@ -1,175 +1,120 @@
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-# You will need this repo:
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-# https://github.com/zcash/librustzcash/
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-# Then compare this code to the file:
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-# librustzcash/zcash_proofs/src/circuit/sapling.rs
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-
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-# What is the LC stuff?
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-# Difference between AllocatedNum and Num
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-# Why BlsScalar vs JJScalar?
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+# :set syntax=sapvi
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+# :source ../scripts/sapvi.vim
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const:
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const:
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- G_VCV: Point
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- G_VCR: Point
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- G_SPEND: Point
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- G_PROOF: Point
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- G_NOTE_COMMIT_R: Point
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- G_NULL: Point
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+ G_VCV: SubgroupPoint
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+ G_VCR: SubgroupPoint
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+ G_SPEND: SubgroupPoint
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+ G_PROOF: SubgroupPoint
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+ G_NOTE_COMMIT_R: SubgroupPoint
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+ G_NULL: SubgroupPoint
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CRH_IVK: Blake2sPersonalization
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CRH_IVK: Blake2sPersonalization
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NOTE_COMMIT: PedersenPersonalization
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NOTE_COMMIT: PedersenPersonalization
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MERKLE: list<PedersenPersonalization>
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MERKLE: list<PedersenPersonalization>
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PRF_NF: Blake2sPersonalization
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PRF_NF: Blake2sPersonalization
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-def value_commit(value: u64, randomness: Scalar) -> (Point, list<bool>):
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- let value_bits: list<bool> = value as list<bool>
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- let value: Point = value * G_VCV
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-
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- let rcv: list<bool> = randomness as list<bool>
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- let rcv: Point = rcv * G_VCR
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-
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- let cv: Point = value + rcv
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- return cv, value_bits
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-
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-# The parameters to this function are the same as in:
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-# struct Spend
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-def input_burn(
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- value: u64, # ValueCommitment.value
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- randomness: Scalar, # ValueCommitment.randomness
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-
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- ak: Point, # from ProofGenerationKey
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- ar: Scalar,
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-
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- nsk: Scalar, # from ProofGenerationKey
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-
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- g_d: Point, # Computed from payment_address
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-
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- commitment_randomness: Scalar,
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-
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- auth_path: list<(Scalar, bool)>,
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-
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+contract input_spend(
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+ value: U64 -> BinaryNumber
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+ randomness: Fr -> BinaryNumber
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+ ak: Point
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+ ar: Fr -> BinaryNumber
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+ nsk: Fr -> BinaryNumber
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+ g_d: Point
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+ commitment_randomness: Fr -> BinaryNumber
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+ auth_path: [(Scalar, Bool)]
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anchor: Scalar
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anchor: Scalar
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-) -> (Point, Point, Point, list<bool>):
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- let ak = witness(ak)
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- ak.assert_not_small_order()
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-
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- let ar: list<bool> = ar as list<bool>
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- let ar: Point = ar * G_SPEND
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-
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- let rk: Point = ak + ar
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+) -> (Point, Point, Scalar, BinaryNumber):
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+ let rk: Point = ak + ar * G_SPEND
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+ emit rk
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- let nsk: list<bool> = nsk as list<bool>
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let nk: Point = nsk * G_PROOF
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let nk: Point = nsk * G_PROOF
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- let mut ivk_preimage: list<bool> = []
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- # Must be list<bool> as well
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- ivk_preimage.extend(ak.repr())
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+ let mut ivk_preimage: BinaryNumber = []
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+ ivk_preimage.put(ak)
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- let mut nf_preimage: list<bool> = []
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- let nk_repr: list<bool> = nk.repr()
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- ivk_preimage.extend(nk_repr)
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- nf_preimage.extend(nk_repr)
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+ let mut nf_preimage: BinaryNumber = []
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- assert len(ivk_preimage) == 512
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- assert len(nf_preimage) == 256
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+ ivk_preimage.put(nk)
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+ nf_preimage.put(nk)
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- let mut ivk: list<bool> = blake2s(ivk_preimage, CRH_IVK)
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- ivk.truncate(Scalar::CAPACITY)
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-
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- let g_d: Point = witness g_d
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- g_d.assert_not_small_order()
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+ assert ivk_preimage.len() == 512
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+ assert nf_preimage.len() == 256
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+ let mut ivk = blake2s(ivk_preimage, CRH_IVK)
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+ ivk.truncate(JUBJUB_FR_CAPACITY)
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+ # This will error if ivk.len() != 256
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+ #let ivk: Fr = ivk as Fr
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let pk_d: Point = ivk * g_d
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let pk_d: Point = ivk * g_d
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- let mut note_contents: list<bool> = []
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-
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- let (cv: Point, value_bits: list<bool>) = value_commit(value, randomness)
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+ let cv: Point = value * G_VCV + rcv * G_VCR
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+ emit cv
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- let mut value_num: Num = Num.zero()
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- let mut coeff: Scalar = Scalar.one()
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- for bit in value_bits:
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- value_num = value_num.add_bool_with_coeff(bit, coeff)
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- coeff = coeff.double()
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- # Is this equivalent?
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- let value_num = value_bits as Num
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+ let mut note_contents: BinaryNumber = []
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+ note_contents.put(value)
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+ note_contents.put(g_d)
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+ note_contents.put(p_k)
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+ assert note_contents.len() == 64 + 256 + 256
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- note_contents.extend(value_bits)
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- note_contents.extend(g_d)
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- note_contents.extend(pk_d)
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+ let mut cm = pedersen_hash(note_contents, NOTE_COMMIT)
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+ cm += commitment_randomness * G_NOTE_COMMIT_R
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- assert len(note_contents) == 64 + 256 + 256
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-
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- let mut cm: Point = pedersen_hash(NOTE_COMMIT, note_contents)
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- let rcm: list<bool> = commitment_randomness as list<bool>
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- let rcm: Point = rcm * G_NOTE_COMMIT_R
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- cm += rcm
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-
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- let mut position_bits: list<bool> = []
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+ let mut position = []
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let mut cur: Scalar = cm.u
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let mut cur: Scalar = cm.u
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- for i, (node, is_right) in enumerate(auth_path):
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- position_bits.push(is_right)
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-
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- let node: EncryptedNum = EncryptedNum.from(node)
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- print(node)
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- let (left: list<bool>, right: list<bool>) = Num.swap_if(is_right, cur, node)
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-
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- let mut preimage: list<bool> = []
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- preimage.extend(left)
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- preimage.extend(right)
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-
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- cur = pedersen_hash(MERKLE_TREE[i], preimage).u
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+ for i in range(auth_path.size()):
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+ let (node: Scalar, is_right: Bool) = auth_path[i]
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- let rt: Point = EncryptedNum.from(anchor)
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+ position.push(is_right)
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- enforce (cur - rt) * value_num == 0
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+ # Scalar -> AllocatedNum
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+ let (left: Scalar, right: Scalar) = swap_if(is_right, cur, node)
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- let position: Point = position_bits * G_NULL
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- let rho: Point = cm + position
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+ let mut preimage: BinaryNumber = []
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+ preimage.put(left)
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+ preimage.put(right)
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- nf_preimage.extend(rho)
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- assert len(nf_preimage) == 512
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- let nf: list<bool> = blake2s(nf_preimage, PRF_NF)
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+ cur = pedersen_hash(MERKLE_TREE[i], preimage).u
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- return (rk, cv, rt, nf)
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+ enforce cur == rt
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+ emit rt
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-def output_mint(
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- value: u64,
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- randomness: Scalar,
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+ let rho: Point = rho + position * G_NULL
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- g_d: Point,
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+ nf_preimage.put(rho)
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+ assert nf_preimage.len() == 512
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- esk: Scalar,
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- pk_d: Point,
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+ let nf: BinaryNumber = blake2s(nf_preimage, PRF_NF)
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+ emit nf
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- commitment_randomness: Scalar
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+contract output_mint(
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+ value: U64 -> BinaryNumber
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+ randomness: Fr -> BinaryNumber
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+ g_d: Point
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+ esk: Fr -> BinaryNumber
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+ pk_d: Point
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+ commitment_randomness: Fr -> BinaryNumber
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) -> (Point, Point, Scalar):
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) -> (Point, Point, Scalar):
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- let (cv: Point, value_bits: list<bool>) = value_commit(value, randomness)
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-
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- let mut note_contents: list<bool> = []
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- note_contents.extend(value_bits)
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+ let cv: Point = value * G_VCV + rcv * G_VCR
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+ emit cv
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- let g_d: Point = witness g_d
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- assert is_not_small_order(g_d)
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+ let mut note_contents: Binary = []
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+ note_contents.put(value)
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- let esk: list<bool> = esk as list<bool>
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let epk: Point = esk * g_d
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let epk: Point = esk * g_d
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+ emit epk
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- let v_contents: list<bool> = pk_d.v as list<bool>
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-
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- let sign_bit: bool = pk_d.u.is_odd() as bool
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+ let v_contents: Scalar = pk_d.v
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+ let sign_bit: Bool = pk_d.u.is_odd()
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- note_contents.extend(v_contents)
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- note_contents.push(sign_bit)
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+ note_contents.put(v_contents)
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+ note_contents.put(sign_bit)
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assert len(note_contents) == 64 + 256 + 256
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assert len(note_contents) == 64 + 256 + 256
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- let mut cm: Point = pedersen_hash(NOTE_COMMIT, note_contents)
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-
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- let rcm: list<bool> = commitment_randomness as list<bool>
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- let rcm: Point = rcm * G_NOTE_COMMIT_R
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-
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+ let mut cm: Point = pedersen_hash(note_contents, NOTE_COMMIT)
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+ let rcm: Point = commitment_randomness * G_NOTE_COMMIT_R
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cm += rcm
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cm += rcm
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let cmu: Scalar = cm.u
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let cmu: Scalar = cm.u
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-
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- return (cv, epk, cmu)
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+ emit cmu
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