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43 lines
1.5 KiB
43 lines
1.5 KiB
// Copyright 2020 ConsenSys Software Inc.
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//
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// Licensed under the Apache License, Version 2.0 (the "License");
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// you may not use this file except in compliance with the License.
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// You may obtain a copy of the License at
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//
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// http://www.apache.org/licenses/LICENSE-2.0
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//
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// Unless required by applicable law or agreed to in writing, software
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// distributed under the License is distributed on an "AS IS" BASIS,
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// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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// See the License for the specific language governing permissions and
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// limitations under the License.
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// Code generated by consensys/gnark-crypto DO NOT EDIT
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// Package ffg contains field arithmetic operations for modulus = 0xffffff...000001.
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//
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// 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)
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//
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// The modulus is hardcoded in all the operations.
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//
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// Field elements are represented as an array, and assumed to be in Montgomery form in all methods:
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// type Element [1]uint64
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//
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// Example API signature
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// // Mul z = x * y mod q
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// func (z *Element) Mul(x, y *Element) *Element
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//
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// and can be used like so:
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// var a, b Element
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// a.SetUint64(2)
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// b.SetString("984896738")
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// a.Mul(a, b)
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// a.Sub(a, a)
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// .Add(a, b)
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// .Inv(a)
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// b.Exp(b, new(big.Int).SetUint64(42))
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//
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// Modulus
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// 0xffffffff00000001 // base 16
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// 18446744069414584321 // base 10
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package ffg
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