package tezos-plonk

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package tezos-plonk
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Module Polynomial.Domain

type scalar = scalar
type t
val t : t Repr.t
val length : t -> int

length p returns the length of a given array p

val get : t -> int -> scalar

get p i returns the i-th element of a given array p

val primitive_root_of_unity : int -> scalar

primitive_root_of_unity n returns a primitive n-th root of unity, provided it exists

val build : ?primitive_root:scalar -> int -> t

build n computes [one; g; ..; g^{n-1}] where g is a primitive n-th root of unity

val build_power_of_two : ?primitive_root:scalar -> int -> t

build_power_of_two log computes [one; g; ..; g^{n-1}] where g is a primitive n-th root of unity and n = 2^log

val subgroup : log:int -> t -> t

subgroup log d returns a subgroup of d of order 2^log

val inverse : t -> scalar array

inverse d returns for a domain wⁱᵢ its inverse domain w⁻ⁱᵢ