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use ark_ff::PrimeField;
use itertools::Itertools;
use crate::{plonk::constraint_system::TurboCS, shuffle::Permutation};
use super::CardVar;
impl<F: PrimeField> TurboCS<F> {
/// Insert the 'shuffle' operation within the constraint system.
pub fn shuffle_card(
&mut self,
card_vars: &[CardVar],
permutation: &Permutation<F>,
) -> Vec<CardVar> {
let n = permutation.len();
assert_eq!(card_vars.len(), n);
let zero = F::ZERO;
let one = F::ONE;
let zero_var = self.zero_var();
let one_var = self.one_var();
let mut permutation_matrix_vars = Vec::with_capacity(n);
for x in permutation.get_matrix().iter() {
let mut tmp = Vec::with_capacity(n);
for y in x.iter() {
tmp.push(self.new_variable(*y))
}
permutation_matrix_vars.push(tmp);
}
for x in permutation_matrix_vars.iter() {
let mut sum_var = zero_var;
for c in x.chunks(3) {
match c.len() {
3 => {
sum_var =
self.linear_combine(&[sum_var, c[0], c[1], c[2]], one, one, one, one);
self.attach_boolean_constraint_to_gate();
}
2 => {
sum_var = self.linear_combine(
&[sum_var, c[0], c[1], zero_var],
one,
one,
one,
zero,
);
self.attach_boolean_constraint_to_gate();
}
1 => {
sum_var = self.linear_combine(
&[sum_var, c[0], zero_var, zero_var],
one,
one,
zero,
zero,
);
self.attach_boolean_constraint_to_gate();
}
_ => unreachable!(),
}
}
self.equal(sum_var, one_var)
}
(0..n).for_each(|j| {
let x = (0..n).map(|i| permutation_matrix_vars[i][j]).collect_vec();
let mut sum_var = zero_var;
for c in x.chunks(3) {
match c.len() {
3 => {
sum_var =
self.linear_combine(&[sum_var, c[0], c[1], c[2]], one, one, one, one);
}
2 => {
sum_var = self.linear_combine(
&[sum_var, c[0], c[1], zero_var],
one,
one,
one,
zero,
);
}
1 => {
sum_var = self.linear_combine(
&[sum_var, c[0], zero_var, zero_var],
one,
one,
zero,
zero,
);
}
_ => unreachable!(),
}
}
self.equal(sum_var, one_var)
});
let card_split_vars = (0..card_vars[0].len())
.map(|i| card_vars.iter().map(|x| x[i]).collect_vec())
.collect_vec();
let mut permuted_card_vars = vec![];
for permutation_var in permutation_matrix_vars.iter() {
let mut permuted_card_var = CardVar::default();
for (i, card_var) in card_split_vars.iter().enumerate() {
let mut r_vars = vec![];
for var in permutation_var.chunks(2).zip(card_var.chunks(2)) {
match var.0.len() {
2 => {
let a = self.witness[var.0[0]];
let b = self.witness[var.0[1]];
let c = self.witness[var.1[0]];
let d = self.witness[var.1[1]];
let r = a.mul(c).add(b.mul(d));
let r_var = self.new_variable(r);
r_vars.push(r_var);
self.push_add_selectors(zero, zero, zero, zero);
self.push_mul_selectors(one, one);
self.push_constant_selector(zero);
self.push_ecc_selector(zero);
self.push_out_selector(one);
self.wiring[0].push(var.0[0]);
self.wiring[1].push(var.1[0]);
self.wiring[2].push(var.0[1]);
self.wiring[3].push(var.1[1]);
self.wiring[4].push(r_var);
self.finish_new_gate();
}
1 => {
let a = self.witness[var.0[0]];
let b = self.witness[var.1[0]];
let r = a.mul(b);
let r_var = self.new_variable(r);
r_vars.push(r_var);
self.push_add_selectors(zero, zero, zero, zero);
self.push_mul_selectors(one, one);
self.push_constant_selector(zero);
self.push_ecc_selector(zero);
self.push_out_selector(one);
self.wiring[0].push(var.0[0]);
self.wiring[1].push(var.1[0]);
self.wiring[2].push(zero_var);
self.wiring[3].push(zero_var);
self.wiring[4].push(r_var);
self.finish_new_gate();
}
_ => unreachable!(),
}
}
let mut sum_var = zero_var;
for c in r_vars.chunks(3) {
match c.len() {
3 => {
sum_var = self.linear_combine(
&[sum_var, c[0], c[1], c[2]],
one,
one,
one,
one,
);
}
2 => {
sum_var = self.linear_combine(
&[sum_var, c[0], c[1], zero_var],
one,
one,
one,
zero,
);
}
1 => {
sum_var = self.linear_combine(
&[sum_var, c[0], zero_var, zero_var],
one,
one,
zero,
zero,
);
}
_ => unreachable!(),
}
}
permuted_card_var.set(i, sum_var);
}
permuted_card_vars.push(permuted_card_var);
}
permuted_card_vars
}
}