1// Copyright 2020 ConsenSys Software Inc. 2// 3// Licensed under the Apache License, Version 2.0 (the "License"); 4// you may not use this file except in compliance with the License. 5// You may obtain a copy of the License at 6// 7// http://www.apache.org/licenses/LICENSE-2.0 8// 9// Unless required by applicable law or agreed to in writing, software 10// distributed under the License is distributed on an "AS IS" BASIS, 11// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. 12// See the License for the specific language governing permissions and 13// limitations under the License. 14 15// Code generated by consensys/gnark-crypto DO NOT EDIT 16 17// Package fr contains field arithmetic operations for modulus = 0x30644e...000001. 18// 19// The API is similar to math/big (big.Int), but the operations are significantly faster (up to 20x for the modular multiplication on amd64, see also https://hackmd.io/@zkteam/modular_multiplication) 20// 21// The modulus is hardcoded in all the operations. 22// 23// Field elements are represented as an array, and assumed to be in Montgomery form in all methods: 24// type Element [4]uint64 25// 26// Example API signature 27// // Mul z = x * y mod q 28// func (z *Element) Mul(x, y *Element) *Element 29// 30// and can be used like so: 31// var a, b Element 32// a.SetUint64(2) 33// b.SetString("984896738") 34// a.Mul(a, b) 35// a.Sub(a, a) 36// .Add(a, b) 37// .Inv(a) 38// b.Exp(b, new(big.Int).SetUint64(42)) 39// 40// Modulus 41// 0x30644e72e131a029b85045b68181585d2833e84879b9709143e1f593f0000001 // base 16 42// 21888242871839275222246405745257275088548364400416034343698204186575808495617 // base 10 43package fr 44