mirror of
https://gitlab.com/pulsechaincom/erigon-pulse.git
synced 2024-12-23 04:03:49 +00:00
bd6879ac51
* core/vm, crypto/bn256: switch over to cloudflare library * crypto/bn256: unmarshal constraint + start pure go impl * crypto/bn256: combo cloudflare and google lib * travis: drop 386 test job
45 lines
2.4 KiB
Go
45 lines
2.4 KiB
Go
// Copyright 2012 The Go Authors. All rights reserved.
|
|
// Use of this source code is governed by a BSD-style
|
|
// license that can be found in the LICENSE file.
|
|
|
|
package bn256
|
|
|
|
import (
|
|
"math/big"
|
|
)
|
|
|
|
func bigFromBase10(s string) *big.Int {
|
|
n, _ := new(big.Int).SetString(s, 10)
|
|
return n
|
|
}
|
|
|
|
// u is the BN parameter that determines the prime: 1868033³.
|
|
var u = bigFromBase10("4965661367192848881")
|
|
|
|
// p is a prime over which we form a basic field: 36u⁴+36u³+24u²+6u+1.
|
|
var P = bigFromBase10("21888242871839275222246405745257275088696311157297823662689037894645226208583")
|
|
|
|
// Order is the number of elements in both G₁ and G₂: 36u⁴+36u³+18u²+6u+1.
|
|
var Order = bigFromBase10("21888242871839275222246405745257275088548364400416034343698204186575808495617")
|
|
|
|
// xiToPMinus1Over6 is ξ^((p-1)/6) where ξ = i+9.
|
|
var xiToPMinus1Over6 = &gfP2{bigFromBase10("16469823323077808223889137241176536799009286646108169935659301613961712198316"), bigFromBase10("8376118865763821496583973867626364092589906065868298776909617916018768340080")}
|
|
|
|
// xiToPMinus1Over3 is ξ^((p-1)/3) where ξ = i+9.
|
|
var xiToPMinus1Over3 = &gfP2{bigFromBase10("10307601595873709700152284273816112264069230130616436755625194854815875713954"), bigFromBase10("21575463638280843010398324269430826099269044274347216827212613867836435027261")}
|
|
|
|
// xiToPMinus1Over2 is ξ^((p-1)/2) where ξ = i+9.
|
|
var xiToPMinus1Over2 = &gfP2{bigFromBase10("3505843767911556378687030309984248845540243509899259641013678093033130930403"), bigFromBase10("2821565182194536844548159561693502659359617185244120367078079554186484126554")}
|
|
|
|
// xiToPSquaredMinus1Over3 is ξ^((p²-1)/3) where ξ = i+9.
|
|
var xiToPSquaredMinus1Over3 = bigFromBase10("21888242871839275220042445260109153167277707414472061641714758635765020556616")
|
|
|
|
// xiTo2PSquaredMinus2Over3 is ξ^((2p²-2)/3) where ξ = i+9 (a cubic root of unity, mod p).
|
|
var xiTo2PSquaredMinus2Over3 = bigFromBase10("2203960485148121921418603742825762020974279258880205651966")
|
|
|
|
// xiToPSquaredMinus1Over6 is ξ^((1p²-1)/6) where ξ = i+9 (a cubic root of -1, mod p).
|
|
var xiToPSquaredMinus1Over6 = bigFromBase10("21888242871839275220042445260109153167277707414472061641714758635765020556617")
|
|
|
|
// xiTo2PMinus2Over3 is ξ^((2p-2)/3) where ξ = i+9.
|
|
var xiTo2PMinus2Over3 = &gfP2{bigFromBase10("19937756971775647987995932169929341994314640652964949448313374472400716661030"), bigFromBase10("2581911344467009335267311115468803099551665605076196740867805258568234346338")}
|