package octez-libs

  1. Overview
  2. Docs
package octez-libs
Legend:
Library
Module
Module type
Parameter
Class
Class type

Parameters

module G : sig ... end

Signature

val check_bytes_random : unit -> unit

Verify that a random point is valid

val check_bytes_zero : unit -> unit

Verify that the zero point is valid

val check_bytes_one : unit -> unit

Verify that the fixed generator point is valid

val check_bytes_random_double : unit -> unit

Verify that doubling a random point gives a valid point

val check_bytes_random_sum : unit -> unit

Verify that the sum of random points is valid

val check_bytes_random_multiplication : unit -> unit

Verify that multiplying a random point by a scalar gives a valid point

val zero_scalar_nullifier_random : unit -> unit

Verify 0_S * g_EC = 0_EC where 0_S is the zero of the scalar field, 0_EC is the point at infinity and g_EC is an element of the EC

val zero_scalar_nullifier_zero : unit -> unit

Verify 0_S * 0_EC = 0_EC where 0_S is the zero of the scalar field and 0_EC is the point at infinity of the EC

val zero_scalar_nullifier_one : unit -> unit

Verify 0_S * 1_EC = 0_EC where 0_S is the 0 of the scalar field, 1_EC is a fixed generator and 0_EC is the point at infinity of the EC

val multiply_by_one_does_nothing : unit -> unit
val opposite_of_opposite : unit -> unit

Verify -(-g) = g where g is an element of the EC

val opposite_of_opposite_using_scalar : unit -> unit
val opposite_of_zero_is_zero : unit -> unit

Verify -(-0_EC) = 0_EC where 0_EC is the point at infinity of the EC

val opposite_of_opposite_of_zero_is_zero : unit -> unit

Verify -(-0_EC) = 0_EC where 0_EC is the point at infinity of the EC

val opposite_of_opposite_of_one_is_one : unit -> unit

Verify -(-0_EC) = 0_EC where 0_EC is the point at infinity of the EC

val additive_associativity : unit -> unit

Verify g1 + (g2 + g3) = (g1 + g2) + g3

val additive_commutativity : unit -> unit

Verify (g1 + g2) = (g2 + g1)

val opposite_existential_property : unit -> unit

Verify that g + (-g) = 0

val distributivity : unit -> unit

Verify a (g1 + g2) = a * g1 + a * g2 where a is a scalar, g1, g2 two elements of the EC

val opposite_equality : unit -> unit

Verify (a + -a) * g = a * g - a * g = 0

val additive_associativity_with_scalar : unit -> unit

a g + b + g = (a + b) g

val multiplication_properties_on_base_field_element : unit -> unit

(a * b) g = a (b g) = b (a g)

val opposite_of_scalar_is_opposite_of_ec : unit -> unit

Verify (-s) * g = s * (-g)

val generator_is_of_prime_order : unit -> unit
val mul_by_order_of_scalar_field_equals_zero : unit -> unit
val double : unit -> unit

Verify 2*g = g + g

val inverse_on_scalar : unit -> unit
val zero_is_the_identity : unit -> unit
val get_tests : unit -> string * unit Alcotest.test_case list

Returns the tests to be used with Alcotest

OCaml

Innovation. Community. Security.

GitHub Discord Twitter Peertube RSS
About
Changelog Releases Industrial Users Academic Users Why OCaml
Ecosystem
Packages Community Events OCaml Planet Jobs
Resources
Install OCaml Get Started Platform Tools Language Manual Standard Library API Books Exercises Papers OCaml Playground Logo
Policies
Carbon Footprint Governance Privacy Code of Conduct