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use p3_commit::{LagrangeSelectors, TwoAdicMultiplicativeCoset}; | ||
use p3_field::AbstractExtensionField; | ||
use p3_field::Field; | ||
use p3_field::{AbstractField, TwoAdicField}; | ||
use sp1_recursion_compiler::prelude::*; | ||
use sp1_recursion_program::commit::PolynomialSpaceVariable; | ||
use sp1_recursion_program::fri::types::FriConfigVariable; | ||
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#[derive(Clone, Copy)] | ||
pub struct TwoAdicMultiplicativeCosetVariable<C: Config> { | ||
pub log_n: usize, | ||
pub size: usize, | ||
pub shift: C::F, | ||
pub g: C::F, | ||
} | ||
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impl<C: Config> TwoAdicMultiplicativeCosetVariable<C> { | ||
pub fn gen(&self, builder: &mut Builder<C>) -> Felt<C::F> { | ||
builder.eval(self.g) | ||
} | ||
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pub fn geninv(&self, builder: &mut Builder<C>) -> Felt<C::F> { | ||
builder.eval(self.g.inverse()) | ||
} | ||
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pub fn first_point(&self, builder: &mut Builder<C>) -> Felt<C::F> { | ||
builder.eval(self.shift) | ||
} | ||
} | ||
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impl<C: Config> FromConstant<C> for TwoAdicMultiplicativeCosetVariable<C> | ||
where | ||
C::F: TwoAdicField, | ||
{ | ||
type Constant = TwoAdicMultiplicativeCoset<C::F>; | ||
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fn constant(value: Self::Constant, _: &mut Builder<C>) -> Self { | ||
let g_val = C::F::two_adic_generator(value.log_n); | ||
TwoAdicMultiplicativeCosetVariable::<C> { | ||
log_n: value.log_n, | ||
size: 1 << value.log_n, | ||
shift: value.shift, | ||
g: g_val, | ||
} | ||
} | ||
} | ||
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pub fn new_coset<C: Config>( | ||
_: &mut Builder<C>, | ||
log_degree: usize, | ||
) -> TwoAdicMultiplicativeCosetVariable<C> | ||
where | ||
C::F: TwoAdicField, | ||
{ | ||
TwoAdicMultiplicativeCosetVariable::<C> { | ||
log_n: log_degree, | ||
size: 1 << log_degree, | ||
shift: C::F::one(), | ||
g: C::F::two_adic_generator(log_degree), | ||
} | ||
} | ||
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impl<C: Config> PolynomialSpaceVariable<C> for TwoAdicMultiplicativeCosetVariable<C> | ||
where | ||
C::F: TwoAdicField, | ||
{ | ||
type Constant = p3_commit::TwoAdicMultiplicativeCoset<C::F>; | ||
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fn next_point( | ||
&self, | ||
builder: &mut Builder<C>, | ||
point: Ext<<C as Config>::F, <C as Config>::EF>, | ||
) -> Ext<<C as Config>::F, <C as Config>::EF> { | ||
let g: Felt<_> = builder.eval(self.g); | ||
builder.eval(point * g) | ||
} | ||
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fn selectors_at_point( | ||
&self, | ||
builder: &mut Builder<C>, | ||
point: Ext<<C as Config>::F, <C as Config>::EF>, | ||
) -> LagrangeSelectors<Ext<<C as Config>::F, <C as Config>::EF>> { | ||
let unshifted_point: Ext<_, _> = builder.eval(point * self.shift.inverse()); | ||
let z_h_expr = builder | ||
.exp_power_of_2_v::<Ext<_, _>>(unshifted_point, Usize::Const(self.log_n)) | ||
- C::EF::one(); | ||
let z_h: Ext<_, _> = builder.eval(z_h_expr); | ||
let ginv = self.geninv(builder); | ||
LagrangeSelectors { | ||
is_first_row: builder.eval(z_h / (unshifted_point - C::EF::one())), | ||
is_last_row: builder.eval(z_h / (unshifted_point - ginv)), | ||
is_transition: builder.eval(unshifted_point - ginv), | ||
inv_zeroifier: builder.eval(z_h.inverse()), | ||
} | ||
} | ||
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fn zp_at_point( | ||
&self, | ||
builder: &mut Builder<C>, | ||
point: Ext<<C as Config>::F, <C as Config>::EF>, | ||
) -> Ext<<C as Config>::F, <C as Config>::EF> { | ||
let unshifted_power = builder.exp_power_of_2_v::<Ext<_, _>>( | ||
point | ||
* C::EF::from_base_slice(&[self.shift, C::F::zero(), C::F::zero(), C::F::zero()]) | ||
.inverse() | ||
.cons(), | ||
Usize::Const(self.log_n), | ||
); | ||
builder.eval(unshifted_power - C::EF::one()) | ||
} | ||
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fn split_domains( | ||
&self, | ||
_builder: &mut Builder<C>, | ||
_log_num_chunks: impl Into<Usize<<C as Config>::N>>, | ||
_num_chunks: impl Into<Usize<<C as Config>::N>>, | ||
) -> Array<C, Self> { | ||
unimplemented!("Not implemented for a circuit variable") | ||
} | ||
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fn split_domains_const(&self, _: &mut Builder<C>, log_num_chunks: usize) -> Vec<Self> { | ||
let num_chunks = 1 << log_num_chunks; | ||
let log_n = self.log_n - log_num_chunks; | ||
let size = 1 << log_n; | ||
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let g = self.g; | ||
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let mut domain_power = C::F::one(); | ||
let mut domains = vec![]; | ||
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for _ in 0..num_chunks { | ||
domains.push(TwoAdicMultiplicativeCosetVariable { | ||
log_n, | ||
size, | ||
shift: self.shift * domain_power, | ||
g, | ||
}); | ||
domain_power *= g; | ||
} | ||
domains | ||
} | ||
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fn create_disjoint_domain( | ||
&self, | ||
builder: &mut Builder<C>, | ||
log_degree: Usize<<C as Config>::N>, | ||
_: Option<FriConfigVariable<C>>, | ||
) -> Self { | ||
let mut domain = match log_degree { | ||
Usize::Const(log_degree) => new_coset(builder, log_degree), | ||
_ => unreachable!(), | ||
}; | ||
domain.shift = self.shift * C::F::generator(); | ||
domain | ||
} | ||
} |
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