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use super::fq::FROBENIUS_COEFF_FQ12_C1;
use super::fq2::Fq2;
use super::fq6::Fq6;
use ff::Field;
use rand::{Rand, Rng};
#[derive(Copy, Clone, Debug, Eq, PartialEq, Hash, Default, ::serde::Serialize, ::serde::Deserialize)]
pub struct Fq12 {
pub c0: Fq6,
pub c1: Fq6,
}
impl ::std::fmt::Display for Fq12 {
fn fmt(&self, f: &mut ::std::fmt::Formatter) -> ::std::fmt::Result {
write!(f, "Fq12({} + {} * w)", self.c0, self.c1)
}
}
impl Rand for Fq12 {
fn rand<R: Rng>(rng: &mut R) -> Self {
Fq12 {
c0: rng.gen(),
c1: rng.gen(),
}
}
}
impl Fq12 {
pub fn conjugate(&mut self) {
self.c1.negate();
}
pub fn mul_by_014(&mut self, c0: &Fq2, c1: &Fq2, c4: &Fq2) {
let mut aa = self.c0;
aa.mul_by_01(c0, c1);
let mut bb = self.c1;
bb.mul_by_1(c4);
let mut o = *c1;
o.add_assign(c4);
self.c1.add_assign(&self.c0);
self.c1.mul_by_01(c0, &o);
self.c1.sub_assign(&aa);
self.c1.sub_assign(&bb);
self.c0 = bb;
self.c0.mul_by_nonresidue();
self.c0.add_assign(&aa);
}
}
impl Field for Fq12 {
fn zero() -> Self {
Fq12 {
c0: Fq6::zero(),
c1: Fq6::zero(),
}
}
fn one() -> Self {
Fq12 {
c0: Fq6::one(),
c1: Fq6::zero(),
}
}
fn is_zero(&self) -> bool {
self.c0.is_zero() && self.c1.is_zero()
}
fn double(&mut self) {
self.c0.double();
self.c1.double();
}
fn negate(&mut self) {
self.c0.negate();
self.c1.negate();
}
fn add_assign(&mut self, other: &Self) {
self.c0.add_assign(&other.c0);
self.c1.add_assign(&other.c1);
}
fn sub_assign(&mut self, other: &Self) {
self.c0.sub_assign(&other.c0);
self.c1.sub_assign(&other.c1);
}
fn frobenius_map(&mut self, power: usize) {
self.c0.frobenius_map(power);
self.c1.frobenius_map(power);
self.c1.c0.mul_assign(&FROBENIUS_COEFF_FQ12_C1[power % 12]);
self.c1.c1.mul_assign(&FROBENIUS_COEFF_FQ12_C1[power % 12]);
self.c1.c2.mul_assign(&FROBENIUS_COEFF_FQ12_C1[power % 12]);
}
fn square(&mut self) {
let mut ab = self.c0;
ab.mul_assign(&self.c1);
let mut c0c1 = self.c0;
c0c1.add_assign(&self.c1);
let mut c0 = self.c1;
c0.mul_by_nonresidue();
c0.add_assign(&self.c0);
c0.mul_assign(&c0c1);
c0.sub_assign(&ab);
self.c1 = ab;
self.c1.add_assign(&ab);
ab.mul_by_nonresidue();
c0.sub_assign(&ab);
self.c0 = c0;
}
fn mul_assign(&mut self, other: &Self) {
let mut aa = self.c0;
aa.mul_assign(&other.c0);
let mut bb = self.c1;
bb.mul_assign(&other.c1);
let mut o = other.c0;
o.add_assign(&other.c1);
self.c1.add_assign(&self.c0);
self.c1.mul_assign(&o);
self.c1.sub_assign(&aa);
self.c1.sub_assign(&bb);
self.c0 = bb;
self.c0.mul_by_nonresidue();
self.c0.add_assign(&aa);
}
fn inverse(&self) -> Option<Self> {
let mut c0s = self.c0;
c0s.square();
let mut c1s = self.c1;
c1s.square();
c1s.mul_by_nonresidue();
c0s.sub_assign(&c1s);
c0s.inverse().map(|t| {
let mut tmp = Fq12 { c0: t, c1: t };
tmp.c0.mul_assign(&self.c0);
tmp.c1.mul_assign(&self.c1);
tmp.c1.negate();
tmp
})
}
}
#[cfg(test)]
use rand::{SeedableRng, XorShiftRng};
#[test]
fn test_fq12_mul_by_014() {
let mut rng = XorShiftRng::from_seed([0x5dbe6259, 0x8d313d76, 0x3237db17, 0xe5bc0654]);
for _ in 0..1000 {
let c0 = Fq2::rand(&mut rng);
let c1 = Fq2::rand(&mut rng);
let c5 = Fq2::rand(&mut rng);
let mut a = Fq12::rand(&mut rng);
let mut b = a;
a.mul_by_014(&c0, &c1, &c5);
b.mul_assign(&Fq12 {
c0: Fq6 {
c0: c0,
c1: c1,
c2: Fq2::zero(),
},
c1: Fq6 {
c0: Fq2::zero(),
c1: c5,
c2: Fq2::zero(),
},
});
assert_eq!(a, b);
}
}
#[test]
fn fq12_field_tests() {
use ff::PrimeField;
crate::tests::field::random_field_tests::<Fq12>();
crate::tests::field::random_frobenius_tests::<Fq12, _>(super::fq::Fq::char(), 13);
}