version3/version22/swift/rom64.swift - incubator-milagro-crypto - Git at Google

 /*
 	Licensed to the Apache Software Foundation (ASF) under one
 	or more contributor license agreements.  See the NOTICE file
 	distributed with this work for additional information
 	regarding copyright ownership.  The ASF licenses this file
 	to you 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.
 */

 //
 //  rom.swift
 //
 //  Created by Michael Scott on 12/06/2015.
 //  Copyright (c) 2015 Michael Scott. All rights reserved.
 //

 typealias Chunk = Int64

 final public class ROM{

     static let CHUNK:Int=64

     /* Don't Modify from here... */
     static let NOT_SPECIAL=0
     static let PSEUDO_MERSENNE=1
     static let MONTGOMERY_FRIENDLY=2
     static let GENERALISED_MERSENNE=3
     static let WEIERSTRASS=0
     static let EDWARDS=1
     static let MONTGOMERY=2
     static let BN_CURVE=0
     static let BLS_CURVE=1

     /* ...to here */

 /*** Enter Some Field details here  ***/

 // Curve 25519
 //    static let MODBITS:UInt=255
 //    static let MOD8:UInt=5
 //    static let BASEBITS:UInt=56
 //    static let AES_S:UInt=0

 // GOLDILOCKS
 //  static let MODBITS:UInt=448
 //  static let MOD8:UInt=7
 //  static let BASEBITS:UInt=60
 //  static let AES_S:UInt=0


 // BN254 Curve
 //  static let MODBITS:UInt=254
 //  static let MOD8:UInt=3
 //  static let BASEBITS:UInt=56
 //  static let AES_S:UInt=0

 // BLS383 Curve
 static let MODBITS:UInt=383
 static let MOD8:UInt=3
 static let BASEBITS:UInt=56
 static let AES_S:UInt=0


 // BLS455 Curve
 //  static let MODBITS:UInt=455
 //  static let MOD8:UInt=3
 //  static let BASEBITS:UInt=60
 //  static let AES_S:UInt=128


     static let FFLEN:UInt=4

 /* Don't Modify from here... */
     static let NLEN:Int=Int(1+((MODBITS-1)/BASEBITS))
     static let DNLEN:Int=2*NLEN
     static let BMASK:Chunk=((1<<Chunk(BASEBITS))-1)
     static let MODBYTES:UInt=(1+(MODBITS-1)/8)
     static let NEXCESS:Int = (1<<(CHUNK-Int(BASEBITS)-1))
     static let FEXCESS:Chunk = (1<<Chunk(BASEBITS*UInt(NLEN)-MODBITS));
     static let OMASK:Chunk=Chunk(-1)<<Chunk(MODBITS%BASEBITS)
     static let TBITS:UInt=MODBITS%BASEBITS; // Number of active bits in top word
     static let TMASK:Chunk=(1<<Chunk(TBITS))-1
     static let BIGBITS:UInt = (MODBYTES*8)
     static let HBITS = (BASEBITS/2)
     static let HMASK:Chunk = ((1<<Chunk(HBITS))-1)


     /* Finite field support - for RSA, DH etc. */
     static let FF_BITS:UInt=(BIGBITS*FFLEN) /* Finite Field Size in bits - must be BIGBITS.2^n */
     static let HFLEN=(FFLEN/2);  /* Useful for half-size RSA private key operations */

     static let P_MBITS:UInt=ROM.MODBYTES*8
     static let P_OMASK:Chunk=Chunk(-1)<<Chunk(P_MBITS%BASEBITS)
     static let P_FEXCESS:Chunk=(1<<Chunk(BASEBITS*UInt(NLEN)-P_MBITS))
     static let P_TBITS=(P_MBITS%ROM.BASEBITS)

 /* ...to here */

 // START SPECIFY FIELD DETAILS HERE
 //*********************************************************************************
 // Curve25519 Modulus
 //    static let MODTYPE=PSEUDO_MERSENNE
 //    static let Modulus:[Chunk]=[0xFFFFFFFFFFFFED,0xFFFFFFFFFFFFFF,0xFFFFFFFFFFFFFF,0xFFFFFFFFFFFFFF,0x7FFFFFFF]
 //    static let MConst:Chunk=19

 //GOLDILOCKS
 //static let MODTYPE=GENERALISED_MERSENNE
 //static let Modulus:[Chunk]=[0xFFFFFFFFFFFFFFF,0xFFFFFFFFFFFFFFF,0xFFFFFFFFFFFFFFF,0xFFFEFFFFFFFFFFF,0xFFFFFFFFFFFFFFF,0xFFFFFFFFFFFFFFF,0xFFFFFFFFFFFFFFF,0xFFFFFFF]
 //static let MConst:Chunk= 0x1

 // BN254 Curve Modulus
 //static let MODTYPE=NOT_SPECIAL
 //static let Modulus:[Chunk]=[0x13,0x13A7,0x80000000086121,0x40000001BA344D,0x25236482]
 //static let MConst:Chunk=0x435E50D79435E5

 // BLS383 Curve
 static let MODTYPE=NOT_SPECIAL
 static let Modulus:[Chunk]=[0xACAAB52AAD556B,0x1BB01475F75D7A,0xCF73083D5D7520,0x531820F99EB16,0x2C01355A68EA32,0x5C6105C552A785,0x7AC52080A9F7]
 static let MConst:Chunk=0xA59AB3B123D0BD


 // BLS455 Curve
 //static let MODTYPE=NOT_SPECIAL
 //static let Modulus:[Chunk]=[0xAA00001800002AB,0xC589556B2AA956A,0xB9994ACE86D1BA6,0x3954FCB314B8B3D,0xE3A5B1D56234BD9,0x95B49203003F665,0x57955572AA00E0F,0x555559555]
 //static let MConst:Chunk=0xB3EF8137F4017FD


 // START SPECIFY CURVE DETAILS HERE
 //*********************************************************************************

 // Ed25519 Curve
 //    static let CURVETYPE=EDWARDS
 //    static let CURVE_A:Int = -1
 //    static let CURVE_B:[Chunk]=[0xEB4DCA135978A3,0xA4D4141D8AB75,0x797779E8980070,0x2B6FFE738CC740,0x52036CEE]
 //    static let CURVE_Order:[Chunk]=[0x12631A5CF5D3ED,0xF9DEA2F79CD658,0x14DE,0x0,0x10000000]
 //    static let CURVE_Gx:[Chunk]=[0x562D608F25D51A,0xC7609525A7B2C9,0x31FDD6DC5C692C,0xCD6E53FEC0A4E2,0x216936D3]
 //    static let CURVE_Gy:[Chunk]=[0x66666666666658,0x66666666666666,0x66666666666666,0x66666666666666,0x66666666]


 // GOLDILOCKS
 //  static let CURVETYPE= EDWARDS
 //  static let CURVE_A:Int = 1;
 //  static let CURVE_B:[Chunk]=[0xFFFFFFFFFFF6756,0xFFFFFFFFFFFFFFF,0xFFFFFFFFFFFFFFF,0xFFFEFFFFFFFFFFF,0xFFFFFFFFFFFFFFF,0xFFFFFFFFFFFFFFF,0xFFFFFFFFFFFFFFF,0xFFFFFFF];
 //  static let CURVE_Order:[Chunk]=[0x378C292AB5844F3,0x6CC2728DC58F552,0xEDB49AED6369021,0xFFFF7CCA23E9C44,0xFFFFFFFFFFFFFFF,0xFFFFFFFFFFFFFFF,0xFFFFFFFFFFFFFFF,0x3FFFFFF];
 //  static let CURVE_Gx:[Chunk]=[0x555555555555555,0x555555555555555,0x555555555555555,0xAAA955555555555,0xAAAAAAAAAAAAAAA,0xAAAAAAAAAAAAAAA,0xAAAAAAAAAAAAAAA,0xAAAAAAA];
 //  static let CURVE_Gy:[Chunk]=[0xAEAFBCDEA9386ED,0xBCB2BED1CDA06BD,0x565833A2A3098BB,0x6D728AD8C4B80D6,0x7A035884DD7B7E3,0x205086C2B0036ED,0x34AD7048DB359D6,0xAE05E96];


 // BN254 Curve
 /*
      static let CURVETYPE= WEIERSTRASS;
      static let CURVE_PAIRING_TYPE = BN_CURVE;
      static let CURVE_A:Int = 0;
      static let CURVE_B:[Chunk]=[0x2,0x0,0x0,0x0,0x0];
      static let CURVE_Order:[Chunk]=[0xD,0x800000000010A1,0x8000000007FF9F,0x40000001BA344D,0x25236482];
      static let CURVE_Gx:[Chunk]=[0x12,0x13A7,0x80000000086121,0x40000001BA344D,0x25236482];
      static let CURVE_Gy:[Chunk]=[0x1,0x0,0x0,0x0,0x0];

      static let CURVE_Fra:[Chunk]=[0x7DE6C06F2A6DE9,0x74924D3F77C2E1,0x50A846953F8509,0x212E7C8CB6499B,0x1B377619];
      static let CURVE_Frb:[Chunk]=[0x82193F90D5922A,0x8B6DB2C08850C5,0x2F57B96AC8DC17,0x1ED1837503EAB2,0x9EBEE69];
      static let CURVE_Pxa:[Chunk]=[0xEE4224C803FB2B,0x8BBB4898BF0D91,0x7E8C61EDB6A464,0x519EB62FEB8D8C,0x61A10BB];
      static let CURVE_Pxb:[Chunk]=[0x8C34C1E7D54CF3,0x746BAE3784B70D,0x8C5982AA5B1F4D,0xBA737833310AA7,0x516AAF9];
      static let CURVE_Pya:[Chunk]=[0xF0E07891CD2B9A,0xAE6BDBE09BD19,0x96698C822329BD,0x6BAF93439A90E0,0x21897A0];
      static let CURVE_Pyb:[Chunk]=[0x2D1AEC6B3ACE9B,0x6FFD739C9578A,0x56F5F38D37B090,0x7C8B15268F6D44,0xEBB2B0E];
      static let CURVE_Bnx:[Chunk]=[0x80000000000001,0x40,0x0,0x0,0x0];
      static let CURVE_Cof:[Chunk]=[0x1,0x0,0x0,0x0,0x0];
      static let CURVE_Cru:[Chunk]=[0x80000000000007,0x6CD,0x40000000024909,0x49B362,0x0];
      static let CURVE_W:[[Chunk]]=[[0x3,0x80000000000204,0x6181,0x0,0x0],[0x1,0x81,0x0,0x0,0x0]];
      static let CURVE_SB:[[[Chunk]]]=[[[0x4,0x80000000000285,0x6181,0x0,0x0],[0x1,0x81,0x0,0x0,0x0]],[[0x1,0x81,0x0,0x0,0x0],[0xA,0xE9D,0x80000000079E1E,0x40000001BA344D,0x25236482]]];
      static let CURVE_WB:[[Chunk]]=[[0x80000000000000,0x80000000000040,0x2080,0x0,0x0],[0x80000000000005,0x54A,0x8000000001C707,0x312241,0x0],[0x80000000000003,0x800000000002C5,0xC000000000E383,0x189120,0x0],[0x80000000000001,0x800000000000C1,0x2080,0x0,0x0]];
      static let CURVE_BB:[[[Chunk]]]=[[[0x8000000000000D,0x80000000001060,0x8000000007FF9F,0x40000001BA344D,0x25236482],[0x8000000000000C,0x80000000001060,0x8000000007FF9F,0x40000001BA344D,0x25236482],[0x8000000000000C,0x80000000001060,0x8000000007FF9F,0x40000001BA344D,0x25236482],[0x2,0x81,0x0,0x0,0x0]],[[0x1,0x81,0x0,0x0,0x0],[0x8000000000000C,0x80000000001060,0x8000000007FF9F,0x40000001BA344D,0x25236482],[0x8000000000000D,0x80000000001060,0x8000000007FF9F,0x40000001BA344D,0x25236482],[0x8000000000000C,0x80000000001060,0x8000000007FF9F,0x40000001BA344D,0x25236482]],[[0x2,0x81,0x0,0x0,0x0],[0x1,0x81,0x0,0x0,0x0],[0x1,0x81,0x0,0x0,0x0],[0x1,0x81,0x0,0x0,0x0]],[[0x80000000000002,0x40,0x0,0x0,0x0],[0x2,0x102,0x0,0x0,0x0],[0xA,0x80000000001020,0x8000000007FF9F,0x40000001BA344D,0x25236482],[0x80000000000002,0x40,0x0,0x0,0x0]]];

      static let USE_GLV = true
      static let USE_GS_G2 = true
      static let USE_GS_GT = true
      static let GT_STRONG = false
      */

     // BLS383 Curve

     static let CURVETYPE = WEIERSTRASS;
     static let CURVE_PAIRING_TYPE = BLS_CURVE;
     static let CURVE_A:Int = 0;

     static let CURVE_Order:[Chunk]=[0xFFF80000FFF001,0xBFDE0070FE7800,0x3000049C5EDF1C,0xC40007F910007A,0x14641004C,0x0,0x0];
     static let CURVE_B:[Chunk]=[0x9,0x0,0x0,0x0,0x0,0x0,0x0];
     static let CURVE_Cof:[Chunk]=[0x2A00000052B,0x5560AAAAAB2CA0,0x6055,0x0,0x0,0x0,0x0];
     static let CURVE_Gx:[Chunk]=[0xD59B348D10786B,0x3477C0E3F54AD0,0xBF25B734578B9B,0x4F6AC007BB6F65,0xEFD5830FF57E9C,0xADB9F88FB6EC02,0xB08CEE4BC98];
     static let CURVE_Gy:[Chunk]=[0x5DA023D145DDB,0x13F518C5FEF7CC,0x56EC3462B2A66F,0x96F3019C7A925F,0x9061047981223E,0x4810AD8F5BE59,0x1F3909337671];

     static let CURVE_Bnx:[Chunk]=[0x1000000040,0x110,0x0,0x0,0x0,0x0,0x0];
     static let CURVE_Cru:[Chunk]=[0xA3AAC4EDA155A9,0xDF2FE8761E5E3D,0xBCDFAADE632625,0x5123128D3035A6,0xDBF3A2BBEAD683,0x5C5FAB20424190,0x7AC52080A9F7];
     static let CURVE_Fra:[Chunk]=[0x2BA59A92B4508B,0x63DB7A06EEF343,0x40341CB1DFBC74,0x1639E9D32D55D3,0xB19B3F05CC36D4,0xF323EE4D86AB98,0x5A5FB198672];
     static let CURVE_Frb:[Chunk]=[0x81051A97F904E0,0xB7D49A6F086A37,0x8F3EEB8B7DB8AB,0xEEF7983C6C9543,0x7A65F6549CB35D,0x693D1777CBFBEC,0x751F25672384];
     static let CURVE_Pxa:[Chunk]=[0x6059885BAC9472,0x7C4D31DE2DC36D,0xBDC90C308C88A7,0x29F01971C688FC,0x3693539C43F167,0xD81E5A561EB8BF,0x4D50722B56BF];
     static let CURVE_Pxb:[Chunk]=[0x9B4BD7A272AB23,0x7AF19D4F44DCE8,0x3F6F7B93206A34,0x571DD3E2A819FB,0x3A2BA3B635D7EE,0xAC28C780C1A126,0xEE3617C3E5B];
     static let CURVE_Pya:[Chunk]=[0x81D230977BD4FD,0xB660720DFDFC6,0x41FC9590C89A0C,0x2E1FBCF878287A,0x11C23014EEE65,0x28878816BB325E,0x8F40859A05C];
     static let CURVE_Pyb:[Chunk]=[0xA5E20A252C4CE6,0x5907A74AFF40C8,0x41760A42448EF3,0xFFEF82B0FDA199,0xA0F29A18D4EA49,0xAC7F7B86E4997B,0x1DCABBA88C12];

     static let CURVE_W:[[Chunk]]=[[],[]];
     static let CURVE_SB:[[[Chunk]]]=[[[],[]],[[],[]]];
     static let CURVE_WB:[[Chunk]]=[[],[],[],[]];
     static let CURVE_BB:[[[Chunk]]]=[[[],[],[],[]],[[],[],[],[]],[[],[],[],[]],[[],[],[],[]]];


     static let USE_GLV = true
     static let USE_GS_G2 = true
     static let USE_GS_GT = true
     static let GT_STRONG = false


     // BLS455 Curve
     /*
          static let CURVETYPE= WEIERSTRASS;
      static let CURVE_PAIRING_TYPE = BLS_CURVE;
      static let CURVE_A:Int =0;

      static let CURVE_Order:[Chunk]=[0x7FFFFC00001,0xA00000400001C,0x25E000750001D10,0xE0000F10004F000,0x80000380002,0x10,0x0,0x0];
      static let CURVE_B:[Chunk]=[0xA,0x0,0x0,0x0,0x0,0x0,0x0,0x0];
      static let CURVE_Cof:[Chunk]=[0xA9557FFAABFFAAB,0xAAB15555B54AAB6,0x555556AA,0x0,0x0,0x0,0x0,0x0];
      static let CURVE_Gx:[Chunk]=[0x6D4C5DDFDFCEDD1,0x35C6F43B3A034FB,0x7F05B56A579C725,0xB1F2B8ECE11B321,0x9F342AB0CFE8392,0xA5911EE32767994,0x3005E40CC56ABED,0x18855F3B];
      static let CURVE_Gy:[Chunk]=[0x404FD79A6619B9B,0x69D80A5D6FA0286,0xEE722322D91A493,0xB1EE58431C1E968,0xCA9BC8953801F5F,0xDFAFD40FE9E388E,0x9F8985FC3DEB0D6,0x19A8DB77E];

      static let CURVE_Bnx:[Chunk]=[0x20000080000800,0x10000,0x0,0x0,0x0,0x0,0x0,0x0];
      static let CURVE_Cru:[Chunk]=[0x9202FFC00000AA9,0xFA5190F4A3762A,0x8B2B9BDD548FEC9,0xD7B469DB33A586A,0xC91731354CAFD99,0xF5B48D02FFFE695,0x57955572A900E0E,0x555559555];
      static let CURVE_Fra:[Chunk]=[0x9CCFBDCA2EBF21,0x572F54A73379964,0x72819F887545498,0x22BBC1CAD1F8534,0xA82CD7D435944F0,0x4594F818D030F7B,0xEDCBE3ADC0016A7,0x397EA4973];
      static let CURVE_Frb:[Chunk]=[0xA033043B5D1438A,0x6E5A00C3F72FC06,0x4717AB46118C70E,0x16993AE842C0609,0x3B78DA012CA06E9,0x501F99EA300E6EA,0x69C971C4E9FF768,0x1BD6B4BE1];
      static let CURVE_Pxa:[Chunk]=[0x475F20F0C1F542,0x65D6070F8567E10,0xD780698BB33D776,0x71F685ED1531721,0x303D3FEC5B6A49C,0x8DEF064FF553CEB,0xC0E9A31B4C463,0x2ECB12FA8];
      static let CURVE_Pxb:[Chunk]=[0x99086EE6749F03D,0xE89A55A5AC5EF2E,0x7B41AECD88EA016,0x622450FE6163E06,0x755066E1C8E296F,0xA80F219487326E8,0x66DBFBB0BEAEE59,0xECFFCE0];
      static let CURVE_Pya:[Chunk]=[0x83235A4581A77F4,0x9F0F367B7A7E10A,0x8FA0C4A66D55B9D,0xEF03F65E0D6EC4C,0x9C7DC299C1A9EC2,0x32453CA21CFA5AC,0x6C3DCD5ABB9C544,0x22471D90A];
      static let CURVE_Pyb:[Chunk]=[0xF413B6D9E1FDBA2,0xA7E630913DA0356,0xFBC913D9AC488E2,0x72E7CF61B401585,0x656D801B21C89ED,0xF9E921EEE0558F9,0x3D2B7B03CFC8698,0x33503CA8];

      static let CURVE_W:[[Chunk]]=[[],[]];
      static let CURVE_SB:[[[Chunk]]]=[[[],[]],[[],[]]];
      static let CURVE_WB:[[Chunk]]=[[],[],[],[]];
      static let CURVE_BB:[[[Chunk]]]=[[[],[],[],[]],[[],[],[],[]],[[],[],[],[]],[[],[],[],[]]];


      static let USE_GLV = true
      static let USE_GS_G2 = true
      static let USE_GS_GT = true
      static let GT_STRONG = false
      */
 }
	/*
	Licensed to the Apache Software Foundation (ASF) under one
	or more contributor license agreements. See the NOTICE file
	distributed with this work for additional information
	regarding copyright ownership. The ASF licenses this file
	to you 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.
	*/

	//
	// rom.swift
	//
	// Created by Michael Scott on 12/06/2015.
	// Copyright (c) 2015 Michael Scott. All rights reserved.
	//

	typealias Chunk = Int64

	final public class ROM{

	static let CHUNK:Int=64

	/* Don't Modify from here... */
	static let NOT_SPECIAL=0
	static let PSEUDO_MERSENNE=1
	static let MONTGOMERY_FRIENDLY=2
	static let GENERALISED_MERSENNE=3
	static let WEIERSTRASS=0
	static let EDWARDS=1
	static let MONTGOMERY=2
	static let BN_CURVE=0
	static let BLS_CURVE=1

	/* ...to here */

	/* Enter Some Field details here */

	// Curve 25519
	// static let MODBITS:UInt=255
	// static let MOD8:UInt=5
	// static let BASEBITS:UInt=56
	// static let AES_S:UInt=0

	// GOLDILOCKS
	// static let MODBITS:UInt=448
	// static let MOD8:UInt=7
	// static let BASEBITS:UInt=60
	// static let AES_S:UInt=0



	// BN254 Curve
	// static let MODBITS:UInt=254
	// static let MOD8:UInt=3
	// static let BASEBITS:UInt=56
	// static let AES_S:UInt=0

	// BLS383 Curve
	static let MODBITS:UInt=383
	static let MOD8:UInt=3
	static let BASEBITS:UInt=56
	static let AES_S:UInt=0


	// BLS455 Curve
	// static let MODBITS:UInt=455
	// static let MOD8:UInt=3
	// static let BASEBITS:UInt=60
	// static let AES_S:UInt=128


	static let FFLEN:UInt=4

	/* Don't Modify from here... */
	static let NLEN:Int=Int(1+((MODBITS-1)/BASEBITS))
	static let DNLEN:Int=2*NLEN
	static let BMASK:Chunk=((1<<Chunk(BASEBITS))-1)
	static let MODBYTES:UInt=(1+(MODBITS-1)/8)
	static let NEXCESS:Int = (1<<(CHUNK-Int(BASEBITS)-1))
	static let FEXCESS:Chunk = (1<<Chunk(BASEBITS*UInt(NLEN)-MODBITS));
	static let OMASK:Chunk=Chunk(-1)<<Chunk(MODBITS%BASEBITS)
	static let TBITS:UInt=MODBITS%BASEBITS; // Number of active bits in top word
	static let TMASK:Chunk=(1<<Chunk(TBITS))-1
	static let BIGBITS:UInt = (MODBYTES*8)
	static let HBITS = (BASEBITS/2)
	static let HMASK:Chunk = ((1<<Chunk(HBITS))-1)


	/* Finite field support - for RSA, DH etc. */
	static let FF_BITS:UInt=(BIGBITSFFLEN) / Finite Field Size in bits - must be BIGBITS.2^n */
	static let HFLEN=(FFLEN/2); /* Useful for half-size RSA private key operations */

	static let P_MBITS:UInt=ROM.MODBYTES*8
	static let P_OMASK:Chunk=Chunk(-1)<<Chunk(P_MBITS%BASEBITS)
	static let P_FEXCESS:Chunk=(1<<Chunk(BASEBITS*UInt(NLEN)-P_MBITS))
	static let P_TBITS=(P_MBITS%ROM.BASEBITS)

	/* ...to here */

	// START SPECIFY FIELD DETAILS HERE
	//*********************************************************************************
	// Curve25519 Modulus
	// static let MODTYPE=PSEUDO_MERSENNE
	// static let Modulus:[Chunk]=[0xFFFFFFFFFFFFED,0xFFFFFFFFFFFFFF,0xFFFFFFFFFFFFFF,0xFFFFFFFFFFFFFF,0x7FFFFFFF]
	// static let MConst:Chunk=19

	//GOLDILOCKS
	//static let MODTYPE=GENERALISED_MERSENNE
	//static let Modulus:[Chunk]=[0xFFFFFFFFFFFFFFF,0xFFFFFFFFFFFFFFF,0xFFFFFFFFFFFFFFF,0xFFFEFFFFFFFFFFF,0xFFFFFFFFFFFFFFF,0xFFFFFFFFFFFFFFF,0xFFFFFFFFFFFFFFF,0xFFFFFFF]
	//static let MConst:Chunk= 0x1

	// BN254 Curve Modulus
	//static let MODTYPE=NOT_SPECIAL
	//static let Modulus:[Chunk]=[0x13,0x13A7,0x80000000086121,0x40000001BA344D,0x25236482]
	//static let MConst:Chunk=0x435E50D79435E5

	// BLS383 Curve
	static let MODTYPE=NOT_SPECIAL
	static let Modulus:[Chunk]=[0xACAAB52AAD556B,0x1BB01475F75D7A,0xCF73083D5D7520,0x531820F99EB16,0x2C01355A68EA32,0x5C6105C552A785,0x7AC52080A9F7]
	static let MConst:Chunk=0xA59AB3B123D0BD


	// BLS455 Curve
	//static let MODTYPE=NOT_SPECIAL
	//static let Modulus:[Chunk]=[0xAA00001800002AB,0xC589556B2AA956A,0xB9994ACE86D1BA6,0x3954FCB314B8B3D,0xE3A5B1D56234BD9,0x95B49203003F665,0x57955572AA00E0F,0x555559555]
	//static let MConst:Chunk=0xB3EF8137F4017FD



	// START SPECIFY CURVE DETAILS HERE
	//*********************************************************************************

	// Ed25519 Curve
	// static let CURVETYPE=EDWARDS
	// static let CURVE_A:Int = -1
	// static let CURVE_B:[Chunk]=[0xEB4DCA135978A3,0xA4D4141D8AB75,0x797779E8980070,0x2B6FFE738CC740,0x52036CEE]
	// static let CURVE_Order:[Chunk]=[0x12631A5CF5D3ED,0xF9DEA2F79CD658,0x14DE,0x0,0x10000000]
	// static let CURVE_Gx:[Chunk]=[0x562D608F25D51A,0xC7609525A7B2C9,0x31FDD6DC5C692C,0xCD6E53FEC0A4E2,0x216936D3]
	// static let CURVE_Gy:[Chunk]=[0x66666666666658,0x66666666666666,0x66666666666666,0x66666666666666,0x66666666]



	// GOLDILOCKS
	// static let CURVETYPE= EDWARDS
	// static let CURVE_A:Int = 1;
	// static let CURVE_B:[Chunk]=[0xFFFFFFFFFFF6756,0xFFFFFFFFFFFFFFF,0xFFFFFFFFFFFFFFF,0xFFFEFFFFFFFFFFF,0xFFFFFFFFFFFFFFF,0xFFFFFFFFFFFFFFF,0xFFFFFFFFFFFFFFF,0xFFFFFFF];
	// static let CURVE_Order:[Chunk]=[0x378C292AB5844F3,0x6CC2728DC58F552,0xEDB49AED6369021,0xFFFF7CCA23E9C44,0xFFFFFFFFFFFFFFF,0xFFFFFFFFFFFFFFF,0xFFFFFFFFFFFFFFF,0x3FFFFFF];
	// static let CURVE_Gx:[Chunk]=[0x555555555555555,0x555555555555555,0x555555555555555,0xAAA955555555555,0xAAAAAAAAAAAAAAA,0xAAAAAAAAAAAAAAA,0xAAAAAAAAAAAAAAA,0xAAAAAAA];
	// static let CURVE_Gy:[Chunk]=[0xAEAFBCDEA9386ED,0xBCB2BED1CDA06BD,0x565833A2A3098BB,0x6D728AD8C4B80D6,0x7A035884DD7B7E3,0x205086C2B0036ED,0x34AD7048DB359D6,0xAE05E96];


	// BN254 Curve
	/*
	static let CURVETYPE= WEIERSTRASS;
	static let CURVE_PAIRING_TYPE = BN_CURVE;
	static let CURVE_A:Int = 0;
	static let CURVE_B:[Chunk]=[0x2,0x0,0x0,0x0,0x0];
	static let CURVE_Order:[Chunk]=[0xD,0x800000000010A1,0x8000000007FF9F,0x40000001BA344D,0x25236482];
	static let CURVE_Gx:[Chunk]=[0x12,0x13A7,0x80000000086121,0x40000001BA344D,0x25236482];
	static let CURVE_Gy:[Chunk]=[0x1,0x0,0x0,0x0,0x0];

	static let CURVE_Fra:[Chunk]=[0x7DE6C06F2A6DE9,0x74924D3F77C2E1,0x50A846953F8509,0x212E7C8CB6499B,0x1B377619];
	static let CURVE_Frb:[Chunk]=[0x82193F90D5922A,0x8B6DB2C08850C5,0x2F57B96AC8DC17,0x1ED1837503EAB2,0x9EBEE69];
	static let CURVE_Pxa:[Chunk]=[0xEE4224C803FB2B,0x8BBB4898BF0D91,0x7E8C61EDB6A464,0x519EB62FEB8D8C,0x61A10BB];
	static let CURVE_Pxb:[Chunk]=[0x8C34C1E7D54CF3,0x746BAE3784B70D,0x8C5982AA5B1F4D,0xBA737833310AA7,0x516AAF9];
	static let CURVE_Pya:[Chunk]=[0xF0E07891CD2B9A,0xAE6BDBE09BD19,0x96698C822329BD,0x6BAF93439A90E0,0x21897A0];
	static let CURVE_Pyb:[Chunk]=[0x2D1AEC6B3ACE9B,0x6FFD739C9578A,0x56F5F38D37B090,0x7C8B15268F6D44,0xEBB2B0E];
	static let CURVE_Bnx:[Chunk]=[0x80000000000001,0x40,0x0,0x0,0x0];
	static let CURVE_Cof:[Chunk]=[0x1,0x0,0x0,0x0,0x0];
	static let CURVE_Cru:[Chunk]=[0x80000000000007,0x6CD,0x40000000024909,0x49B362,0x0];
	static let CURVE_W:[[Chunk]]=[[0x3,0x80000000000204,0x6181,0x0,0x0],[0x1,0x81,0x0,0x0,0x0]];
	static let CURVE_SB:[[[Chunk]]]=[[[0x4,0x80000000000285,0x6181,0x0,0x0],[0x1,0x81,0x0,0x0,0x0]],[[0x1,0x81,0x0,0x0,0x0],[0xA,0xE9D,0x80000000079E1E,0x40000001BA344D,0x25236482]]];
	static let CURVE_WB:[[Chunk]]=[[0x80000000000000,0x80000000000040,0x2080,0x0,0x0],[0x80000000000005,0x54A,0x8000000001C707,0x312241,0x0],[0x80000000000003,0x800000000002C5,0xC000000000E383,0x189120,0x0],[0x80000000000001,0x800000000000C1,0x2080,0x0,0x0]];
	static let CURVE_BB:[[[Chunk]]]=[[[0x8000000000000D,0x80000000001060,0x8000000007FF9F,0x40000001BA344D,0x25236482],[0x8000000000000C,0x80000000001060,0x8000000007FF9F,0x40000001BA344D,0x25236482],[0x8000000000000C,0x80000000001060,0x8000000007FF9F,0x40000001BA344D,0x25236482],[0x2,0x81,0x0,0x0,0x0]],[[0x1,0x81,0x0,0x0,0x0],[0x8000000000000C,0x80000000001060,0x8000000007FF9F,0x40000001BA344D,0x25236482],[0x8000000000000D,0x80000000001060,0x8000000007FF9F,0x40000001BA344D,0x25236482],[0x8000000000000C,0x80000000001060,0x8000000007FF9F,0x40000001BA344D,0x25236482]],[[0x2,0x81,0x0,0x0,0x0],[0x1,0x81,0x0,0x0,0x0],[0x1,0x81,0x0,0x0,0x0],[0x1,0x81,0x0,0x0,0x0]],[[0x80000000000002,0x40,0x0,0x0,0x0],[0x2,0x102,0x0,0x0,0x0],[0xA,0x80000000001020,0x8000000007FF9F,0x40000001BA344D,0x25236482],[0x80000000000002,0x40,0x0,0x0,0x0]]];

	static let USE_GLV = true
	static let USE_GS_G2 = true
	static let USE_GS_GT = true
	static let GT_STRONG = false
	*/

	// BLS383 Curve

	static let CURVETYPE = WEIERSTRASS;
	static let CURVE_PAIRING_TYPE = BLS_CURVE;
	static let CURVE_A:Int = 0;

	static let CURVE_Order:[Chunk]=[0xFFF80000FFF001,0xBFDE0070FE7800,0x3000049C5EDF1C,0xC40007F910007A,0x14641004C,0x0,0x0];
	static let CURVE_B:[Chunk]=[0x9,0x0,0x0,0x0,0x0,0x0,0x0];
	static let CURVE_Cof:[Chunk]=[0x2A00000052B,0x5560AAAAAB2CA0,0x6055,0x0,0x0,0x0,0x0];
	static let CURVE_Gx:[Chunk]=[0xD59B348D10786B,0x3477C0E3F54AD0,0xBF25B734578B9B,0x4F6AC007BB6F65,0xEFD5830FF57E9C,0xADB9F88FB6EC02,0xB08CEE4BC98];
	static let CURVE_Gy:[Chunk]=[0x5DA023D145DDB,0x13F518C5FEF7CC,0x56EC3462B2A66F,0x96F3019C7A925F,0x9061047981223E,0x4810AD8F5BE59,0x1F3909337671];

	static let CURVE_Bnx:[Chunk]=[0x1000000040,0x110,0x0,0x0,0x0,0x0,0x0];
	static let CURVE_Cru:[Chunk]=[0xA3AAC4EDA155A9,0xDF2FE8761E5E3D,0xBCDFAADE632625,0x5123128D3035A6,0xDBF3A2BBEAD683,0x5C5FAB20424190,0x7AC52080A9F7];
	static let CURVE_Fra:[Chunk]=[0x2BA59A92B4508B,0x63DB7A06EEF343,0x40341CB1DFBC74,0x1639E9D32D55D3,0xB19B3F05CC36D4,0xF323EE4D86AB98,0x5A5FB198672];
	static let CURVE_Frb:[Chunk]=[0x81051A97F904E0,0xB7D49A6F086A37,0x8F3EEB8B7DB8AB,0xEEF7983C6C9543,0x7A65F6549CB35D,0x693D1777CBFBEC,0x751F25672384];
	static let CURVE_Pxa:[Chunk]=[0x6059885BAC9472,0x7C4D31DE2DC36D,0xBDC90C308C88A7,0x29F01971C688FC,0x3693539C43F167,0xD81E5A561EB8BF,0x4D50722B56BF];
	static let CURVE_Pxb:[Chunk]=[0x9B4BD7A272AB23,0x7AF19D4F44DCE8,0x3F6F7B93206A34,0x571DD3E2A819FB,0x3A2BA3B635D7EE,0xAC28C780C1A126,0xEE3617C3E5B];
	static let CURVE_Pya:[Chunk]=[0x81D230977BD4FD,0xB660720DFDFC6,0x41FC9590C89A0C,0x2E1FBCF878287A,0x11C23014EEE65,0x28878816BB325E,0x8F40859A05C];
	static let CURVE_Pyb:[Chunk]=[0xA5E20A252C4CE6,0x5907A74AFF40C8,0x41760A42448EF3,0xFFEF82B0FDA199,0xA0F29A18D4EA49,0xAC7F7B86E4997B,0x1DCABBA88C12];

	static let CURVE_W:[[Chunk]]=[[],[]];
	static let CURVE_SB:[[[Chunk]]]=[[[],[]],[[],[]]];
	static let CURVE_WB:[[Chunk]]=[[],[],[],[]];
	static let CURVE_BB:[[[Chunk]]]=[[[],[],[],[]],[[],[],[],[]],[[],[],[],[]],[[],[],[],[]]];


	static let USE_GLV = true
	static let USE_GS_G2 = true
	static let USE_GS_GT = true
	static let GT_STRONG = false


	// BLS455 Curve
	/*
	static let CURVETYPE= WEIERSTRASS;
	static let CURVE_PAIRING_TYPE = BLS_CURVE;
	static let CURVE_A:Int =0;

	static let CURVE_Order:[Chunk]=[0x7FFFFC00001,0xA00000400001C,0x25E000750001D10,0xE0000F10004F000,0x80000380002,0x10,0x0,0x0];
	static let CURVE_B:[Chunk]=[0xA,0x0,0x0,0x0,0x0,0x0,0x0,0x0];
	static let CURVE_Cof:[Chunk]=[0xA9557FFAABFFAAB,0xAAB15555B54AAB6,0x555556AA,0x0,0x0,0x0,0x0,0x0];
	static let CURVE_Gx:[Chunk]=[0x6D4C5DDFDFCEDD1,0x35C6F43B3A034FB,0x7F05B56A579C725,0xB1F2B8ECE11B321,0x9F342AB0CFE8392,0xA5911EE32767994,0x3005E40CC56ABED,0x18855F3B];
	static let CURVE_Gy:[Chunk]=[0x404FD79A6619B9B,0x69D80A5D6FA0286,0xEE722322D91A493,0xB1EE58431C1E968,0xCA9BC8953801F5F,0xDFAFD40FE9E388E,0x9F8985FC3DEB0D6,0x19A8DB77E];

	static let CURVE_Bnx:[Chunk]=[0x20000080000800,0x10000,0x0,0x0,0x0,0x0,0x0,0x0];
	static let CURVE_Cru:[Chunk]=[0x9202FFC00000AA9,0xFA5190F4A3762A,0x8B2B9BDD548FEC9,0xD7B469DB33A586A,0xC91731354CAFD99,0xF5B48D02FFFE695,0x57955572A900E0E,0x555559555];
	static let CURVE_Fra:[Chunk]=[0x9CCFBDCA2EBF21,0x572F54A73379964,0x72819F887545498,0x22BBC1CAD1F8534,0xA82CD7D435944F0,0x4594F818D030F7B,0xEDCBE3ADC0016A7,0x397EA4973];
	static let CURVE_Frb:[Chunk]=[0xA033043B5D1438A,0x6E5A00C3F72FC06,0x4717AB46118C70E,0x16993AE842C0609,0x3B78DA012CA06E9,0x501F99EA300E6EA,0x69C971C4E9FF768,0x1BD6B4BE1];
	static let CURVE_Pxa:[Chunk]=[0x475F20F0C1F542,0x65D6070F8567E10,0xD780698BB33D776,0x71F685ED1531721,0x303D3FEC5B6A49C,0x8DEF064FF553CEB,0xC0E9A31B4C463,0x2ECB12FA8];
	static let CURVE_Pxb:[Chunk]=[0x99086EE6749F03D,0xE89A55A5AC5EF2E,0x7B41AECD88EA016,0x622450FE6163E06,0x755066E1C8E296F,0xA80F219487326E8,0x66DBFBB0BEAEE59,0xECFFCE0];
	static let CURVE_Pya:[Chunk]=[0x83235A4581A77F4,0x9F0F367B7A7E10A,0x8FA0C4A66D55B9D,0xEF03F65E0D6EC4C,0x9C7DC299C1A9EC2,0x32453CA21CFA5AC,0x6C3DCD5ABB9C544,0x22471D90A];
	static let CURVE_Pyb:[Chunk]=[0xF413B6D9E1FDBA2,0xA7E630913DA0356,0xFBC913D9AC488E2,0x72E7CF61B401585,0x656D801B21C89ED,0xF9E921EEE0558F9,0x3D2B7B03CFC8698,0x33503CA8];

	static let CURVE_W:[[Chunk]]=[[],[]];
	static let CURVE_SB:[[[Chunk]]]=[[[],[]],[[],[]]];
	static let CURVE_WB:[[Chunk]]=[[],[],[],[]];
	static let CURVE_BB:[[[Chunk]]]=[[[],[],[],[]],[[],[],[],[]],[[],[],[],[]],[[],[],[],[]]];


	static let USE_GLV = true
	static let USE_GS_G2 = true
	static let USE_GS_GT = true
	static let GT_STRONG = false
	*/
	}