2021-02-10 03:36:25 -08:00
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use super::circuit::Expression;
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use ff::Field;
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2020-11-30 22:53:20 -08:00
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2021-01-20 05:47:55 -08:00
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pub(crate) mod prover;
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pub(crate) mod verifier;
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2020-11-30 22:53:20 -08:00
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#[derive(Clone, Debug)]
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2021-02-10 03:36:25 -08:00
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pub(crate) struct Argument<F: Field> {
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pub input_expressions: Vec<Expression<F>>,
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pub table_expressions: Vec<Expression<F>>,
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2020-11-30 22:53:20 -08:00
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}
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2021-02-10 03:36:25 -08:00
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impl<F: Field> Argument<F> {
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2021-05-26 16:37:32 -07:00
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/// Constructs a new lookup argument.
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///
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/// `table_map` is a sequence of `(input, table)` tuples.
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pub fn new(table_map: Vec<(Expression<F>, Expression<F>)>) -> Self {
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let (input_expressions, table_expressions) = table_map.into_iter().unzip();
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2020-11-30 22:53:20 -08:00
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Argument {
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2021-05-26 16:37:32 -07:00
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input_expressions,
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table_expressions,
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2020-11-30 22:53:20 -08:00
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}
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}
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2020-12-22 07:54:41 -08:00
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pub(crate) fn required_degree(&self) -> usize {
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assert_eq!(self.input_expressions.len(), self.table_expressions.len());
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2020-12-22 07:54:41 -08:00
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// degree 2:
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// l_0(X) * (1 - z'(X)) = 0
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//
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2021-02-11 17:40:53 -08:00
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// degree (1 + input_degree + table_degree):
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// z'(X) (a'(X) + \beta) (s'(X) + \gamma)
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// - z'(\omega^{-1} X) (\theta^{m-1} a_0(X) + ... + a_{m-1}(X) + \beta) (\theta^{m-1} s_0(X) + ... + s_{m-1}(X) + \gamma)
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//
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// degree 2:
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// l_0(X) * (a'(X) - s'(X)) = 0
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//
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// degree 2:
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// (a′(X)−s′(X))⋅(a′(X)−a′(\omega{-1} X)) = 0
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let mut input_degree = 1;
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for expr in self.input_expressions.iter() {
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input_degree = std::cmp::max(input_degree, expr.degree());
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}
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let mut table_degree = 1;
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for expr in self.table_expressions.iter() {
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table_degree = std::cmp::max(table_degree, expr.degree());
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}
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1 + input_degree + table_degree
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2020-12-22 07:54:41 -08:00
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}
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2020-11-30 22:53:20 -08:00
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}
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