1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
use std::borrow::Cow;

use super::G1;
use serde::de::Error as DeserializeError;
use serde::{Deserialize, Deserializer, Serialize, Serializer};

use poly::{coeff_pos, BivarCommitment};

const ERR_DEG: &str = "commitment degree does not match coefficients";

/// A type with the same content as `BivarCommitment`, but that has not been validated yet.
#[derive(Serialize, Deserialize)]
struct WireBivarCommitment<'a> {
    /// The polynomial's degree in each of the two variables.
    degree: usize,
    /// The commitments to the coefficients.
    #[serde(with = "projective_vec")]
    coeff: Cow<'a, [G1]>,
}

impl Serialize for BivarCommitment {
    fn serialize<S: Serializer>(&self, s: S) -> Result<S::Ok, S::Error> {
        WireBivarCommitment {
            degree: self.degree,
            coeff: Cow::Borrowed(&self.coeff),
        }.serialize(s)
    }
}

impl<'de> Deserialize<'de> for BivarCommitment {
    fn deserialize<D: Deserializer<'de>>(d: D) -> Result<Self, D::Error> {
        let WireBivarCommitment { degree, coeff } = Deserialize::deserialize(d)?;
        if coeff_pos(degree, degree).and_then(|l| l.checked_add(1)) != Some(coeff.len()) {
            return Err(D::Error::custom(ERR_DEG));
        }
        Ok(BivarCommitment {
            degree,
            coeff: coeff.into(),
        })
    }
}

/// Serialization and deserialization of a group element's compressed representation.
pub mod projective {
    use pairing::{CurveAffine, CurveProjective, EncodedPoint};
    use serde::de::Error as DeserializeError;
    use serde::{Deserialize, Deserializer, Serialize, Serializer};

    const ERR_LEN: &str = "wrong length of deserialized group element";
    const ERR_CODE: &str = "deserialized bytes don't encode a group element";

    pub fn serialize<S, C>(c: &C, s: S) -> Result<S::Ok, S::Error>
    where
        S: Serializer,
        C: CurveProjective,
    {
        c.into_affine().into_compressed().as_ref().serialize(s)
    }

    pub fn deserialize<'de, D, C>(d: D) -> Result<C, D::Error>
    where
        D: Deserializer<'de>,
        C: CurveProjective,
    {
        let bytes = <Vec<u8>>::deserialize(d)?;
        if bytes.len() != <C::Affine as CurveAffine>::Compressed::size() {
            return Err(D::Error::custom(ERR_LEN));
        }
        let mut compressed = <C::Affine as CurveAffine>::Compressed::empty();
        compressed.as_mut().copy_from_slice(&bytes);
        let to_err = |_| D::Error::custom(ERR_CODE);
        Ok(compressed.into_affine().map_err(to_err)?.into_projective())
    }
}

/// Serialization and deserialization of vectors of projective curve elements.
pub mod projective_vec {
    use std::borrow::Borrow;
    use std::iter::FromIterator;
    use std::marker::PhantomData;

    use pairing::CurveProjective;
    use serde::{Deserialize, Deserializer, Serialize, Serializer};

    use super::projective;

    /// A wrapper type to facilitate serialization and deserialization of group elements.
    struct CurveWrap<C, B>(B, PhantomData<C>);

    impl<C, B> CurveWrap<C, B> {
        fn new(c: B) -> Self {
            CurveWrap(c, PhantomData)
        }
    }

    impl<C: CurveProjective, B: Borrow<C>> Serialize for CurveWrap<C, B> {
        fn serialize<S: Serializer>(&self, s: S) -> Result<S::Ok, S::Error> {
            projective::serialize(self.0.borrow(), s)
        }
    }

    impl<'de, C: CurveProjective> Deserialize<'de> for CurveWrap<C, C> {
        fn deserialize<D: Deserializer<'de>>(d: D) -> Result<Self, D::Error> {
            Ok(CurveWrap::new(projective::deserialize(d)?))
        }
    }

    pub fn serialize<S, C, T>(vec: T, s: S) -> Result<S::Ok, S::Error>
    where
        S: Serializer,
        C: CurveProjective,
        T: AsRef<[C]>,
    {
        let wrap_vec: Vec<CurveWrap<C, &C>> = vec.as_ref().iter().map(CurveWrap::new).collect();
        wrap_vec.serialize(s)
    }

    pub fn deserialize<'de, D, C, T>(d: D) -> Result<T, D::Error>
    where
        D: Deserializer<'de>,
        C: CurveProjective,
        T: FromIterator<C>,
    {
        let wrap_vec = <Vec<CurveWrap<C, C>>>::deserialize(d)?;
        Ok(wrap_vec.into_iter().map(|CurveWrap(c, _)| c).collect())
    }
}

/// Serialization and deserialization of vectors of field elements.
pub mod field_vec {
    use std::borrow::Borrow;
    use std::marker::PhantomData;

    use pairing::{PrimeField, PrimeFieldRepr};
    use serde::de::Error as DeserializeError;
    use serde::ser::Error as SerializeError;
    use serde::{Deserialize, Deserializer, Serialize, Serializer};

    /// A wrapper type to facilitate serialization and deserialization of field elements.
    pub struct FieldWrap<F, B>(B, PhantomData<F>);

    impl<F, B> FieldWrap<F, B> {
        pub fn new(f: B) -> Self {
            FieldWrap(f, PhantomData)
        }
    }

    impl<F> FieldWrap<F, F> {
        pub fn into_inner(self) -> F {
            self.0
        }
    }

    impl<F: PrimeField, B: Borrow<F>> Serialize for FieldWrap<F, B> {
        fn serialize<S: Serializer>(&self, s: S) -> Result<S::Ok, S::Error> {
            let mut bytes = Vec::new();
            self.0
                .borrow()
                .into_repr()
                .write_be(&mut bytes)
                .map_err(|_| S::Error::custom("failed to write bytes"))?;
            bytes.serialize(s)
        }
    }

    impl<'de, F: PrimeField> Deserialize<'de> for FieldWrap<F, F> {
        fn deserialize<D: Deserializer<'de>>(d: D) -> Result<Self, D::Error> {
            let bytes: Vec<u8> = Deserialize::deserialize(d)?;
            let mut repr = F::zero().into_repr();
            repr.read_be(&bytes[..])
                .map_err(|_| D::Error::custom("failed to write bytes"))?;
            Ok(FieldWrap::new(F::from_repr(repr).map_err(|_| {
                D::Error::custom("invalid field element representation")
            })?))
        }
    }

    pub fn serialize<S, F>(vec: &[F], s: S) -> Result<S::Ok, S::Error>
    where
        S: Serializer,
        F: PrimeField,
    {
        let wrap_vec: Vec<FieldWrap<F, &F>> = vec.iter().map(FieldWrap::new).collect();
        wrap_vec.serialize(s)
    }

    pub fn deserialize<'de, D, F>(d: D) -> Result<Vec<F>, D::Error>
    where
        D: Deserializer<'de>,
        F: PrimeField,
    {
        let wrap_vec = <Vec<FieldWrap<F, F>>>::deserialize(d)?;
        Ok(wrap_vec.into_iter().map(|FieldWrap(f, _)| f).collect())
    }
}

#[cfg(test)]
mod tests {
    use super::super::PEngine;
    use bincode;
    use pairing::Engine;
    use rand::{self, Rng};

    use poly::BivarPoly;

    #[derive(Debug, Serialize, Deserialize)]
    pub struct Vecs<E: Engine> {
        #[serde(with = "super::projective_vec")]
        curve_points: Vec<E::G1>,
        #[serde(with = "super::field_vec")]
        field_elements: Vec<E::Fr>,
    }

    impl<E: Engine> PartialEq for Vecs<E> {
        fn eq(&self, other: &Self) -> bool {
            self.curve_points == other.curve_points && self.field_elements == other.field_elements
        }
    }

    #[test]
    fn vecs() {
        let mut rng = rand::thread_rng();
        let vecs: Vecs<PEngine> = Vecs {
            curve_points: rng.gen_iter().take(10).collect(),
            field_elements: rng.gen_iter().take(10).collect(),
        };
        let ser_vecs = bincode::serialize(&vecs).expect("serialize vecs");
        let de_vecs = bincode::deserialize(&ser_vecs).expect("deserialize vecs");
        assert_eq!(vecs, de_vecs);
    }

    #[test]
    fn bivar_commitment() {
        let mut rng = rand::thread_rng();
        for deg in 1..8 {
            let poly = BivarPoly::random(deg, &mut rng);
            let comm = poly.commitment();
            let ser_comm = bincode::serialize(&comm).expect("serialize commitment");
            let de_comm = bincode::deserialize(&ser_comm).expect("deserialize commitment");
            assert_eq!(comm, de_comm);
        }
    }
}