Faster ff arithmetics (regenerated code with the newest goff) (#43)

ff/doc.go

@@ -0,0 +1,43 @@
+// Copyright 2020 ConsenSys Software Inc.
+//
+// Licensed under the Apache License, Version 2.0 (the "License");
+// you may not use this file except in compliance with the License.
+// You may obtain a copy of the License at
+//
+//     http://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing, software
+// distributed under the License is distributed on an "AS IS" BASIS,
+// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+// See the License for the specific language governing permissions and
+// limitations under the License.
+
+// Code generated by consensys/gnark-crypto DO NOT EDIT
+
+// Package ff contains field arithmetic operations for modulus = 0x30644e...000001.
+//
+// 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)
+//
+// The modulus is hardcoded in all the operations.
+//
+// Field elements are represented as an array, and assumed to be in Montgomery form in all methods:
+// 	type Element [4]uint64
+//
+// Example API signature
+// 	// Mul z = x * y mod q
+// 	func (z *Element) Mul(x, y *Element) *Element
+//
+// and can be used like so:
+// 	var a, b Element
+// 	a.SetUint64(2)
+// 	b.SetString("984896738")
+// 	a.Mul(a, b)
+// 	a.Sub(a, a)
+// 	 .Add(a, b)
+// 	 .Inv(a)
+// 	b.Exp(b, new(big.Int).SetUint64(42))
+//
+// Modulus
+// 	0x30644e72e131a029b85045b68181585d2833e84879b9709143e1f593f0000001 // base 16
+// 	21888242871839275222246405745257275088548364400416034343698204186575808495617 // base 10
+package ff