package ff-sig

  1. Overview
  2. Docs
package ff-sig
Legend:
Page
Library
Module
Module type
Parameter
Class
Class type
Source

Module type Ff_sig.BASESource

Base module signature for a finite field

Sourceexception Not_in_field of Bytes.t
Sourcetype t
Sourceval order : Z.t

The order of the finite field

Sourceval size_in_bytes : int

minimal number of bytes required to encode a value of the field.

Sourceval check_bytes : Bytes.t -> bool

check_bytes bs returns true if bs is a correct byte representation of a field element

Sourceval zero : t

The neutral element for the addition

Sourceval one : t

The neutral element for the multiplication

Sourceval is_zero : t -> bool

is_zero x returns true if x is the neutral element for the addition

Sourceval is_one : t -> bool

is_one x returns true if x is the neutral element for the multiplication

Sourceval random : ?state:Random.State.t -> unit -> t

Use carefully! random () returns a random element of the field. A state for the PRNG can be given to initialize the PRNG in the requested state. If no state is given, no initialisation is performed

Sourceval non_null_random : ?state:Random.State.t -> unit -> t

Use carefully! non_null_random () returns a non null random element of the field. A state for the PRNG can be given to initialize the PRNG in the requested state. If no state is given, no initialisation is performed

Sourceval add : t -> t -> t

add a b returns a + b mod order

Sourceval (+) : t -> t -> t

Infix operator for add

Sourceval sub : t -> t -> t

sub a b returns a - b mod order

Sourceval mul : t -> t -> t

mul a b returns a * b mod order

Sourceval (*) : t -> t -> t

Infix operator for mul

Sourceval eq : t -> t -> bool

eq a b returns true if a = b mod order, else false

Sourceval (=) : t -> t -> bool

Infix operator for eq

Sourceval negate : t -> t

negate x returns -x mod order. Equivalently, negate x returns the unique y such that x + y mod order = 0

Sourceval (-) : t -> t

Infix operator for negate

Sourceval inverse_exn : t -> t

inverse_exn x returns x^-1 if x is not 0, else raise Division_by_zero

Sourceval inverse_opt : t -> t option

inverse_opt x returns x^-1 if x is not 0 as an option, else None

Sourceval div_exn : t -> t -> t

div_exn a b returns a * b^-1. Raise Division_by_zero if b = zero

Sourceval div_opt : t -> t -> t option

div_opt a b returns a * b^-1 as an option. Return None if b = zero

Sourceval (/) : t -> t -> t

Infix operator for div_exn

Sourceval square : t -> t

square x returns x^2

Sourceval double : t -> t

double x returns 2x

Sourceval pow : t -> Z.t -> t

pow x n returns x^n

Sourceval (**) : t -> Z.t -> t

Infix operator for pow

Sourceval of_bytes_exn : Bytes.t -> t

Construct a value of type t from the bytes representation in little endian of the field element. For non prime fields, the encoding starts with the coefficient of the constant monomial. Raise Not_in_field if the bytes do not represent an element in the field.

Sourceval of_bytes_opt : Bytes.t -> t option

From a predefined little endian bytes representation, construct a value of type t. The same representation than of_bytes_exn is used. Return None if the bytes do not represent an element in the field.

Sourceval to_bytes : t -> Bytes.t

Convert the value t to a bytes representation. The number of bytes is size_in_bytes and the encoding must be in little endian. For instance, the encoding of 1 in prime fields is always a bytes sequence of size size_in_bytes starting with the byte 0b00000001. For non prime fields, the encoding starts with the coefficient of the constant monomial.