예제 #1
0
파일: Group.cs 프로젝트: UUSR/BitcoinABC
 public static void secp256k1_gej_clear(GeJ r)
 {
     r.Infinity = false;
     Field.Clear(r.X);
     Field.Clear(r.Y);
     Field.Clear(r.Z);
 }
예제 #2
0
파일: Group.cs 프로젝트: UUSR/BitcoinABC
 public static void secp256k1_gej_set_ge(GeJ r, Ge a)
 {
     r.Infinity = a.Infinity;
     r.X        = a.X.Clone();
     r.Y        = a.Y.Clone();
     Field.SetInt(r.Z, 1U);
 }
예제 #3
0
파일: Group.cs 프로젝트: UUSR/BitcoinABC
 public static void secp256k1_gej_neg(GeJ r, GeJ a)
 {
     r.Infinity = a.Infinity;
     r.X        = a.X.Clone();
     r.Y        = a.Y.Clone();
     r.Z        = a.Z.Clone();
     Field.NormalizeWeak(r.Y);
     Field.Negate(r.Y, r.Y, 1U);
 }
예제 #4
0
파일: Group.cs 프로젝트: UUSR/BitcoinABC
        public static void secp256k1_gej_rescale(GeJ r, Fe s)
        {
            var fe = new Fe();

            Field.Sqr(fe, s);
            Field.Mul(r.X, r.X, fe);
            Field.Mul(r.Y, r.Y, fe);
            Field.Mul(r.Y, r.Y, s);
            Field.Mul(r.Z, r.Z, s);
        }
예제 #5
0
파일: Group.cs 프로젝트: UUSR/BitcoinABC
        public static void secp256k1_ge_set_gej_zinv(Ge r, GeJ a, Fe zi)
        {
            var fe1 = new Fe();
            var fe2 = new Fe();

            Field.Sqr(fe1, zi);
            Field.Mul(fe2, fe1, zi);
            Field.Mul(r.X, a.X, fe1);
            Field.Mul(r.Y, a.Y, fe2);
            r.Infinity = a.Infinity;
        }
예제 #6
0
파일: Group.cs 프로젝트: UUSR/BitcoinABC
        public static void SetGeJ(Ge r, GeJ a)
        {
            var fe1 = new Fe();
            var fe2 = new Fe();

            r.Infinity = a.Infinity;
            Field.Inv(a.Z, a.Z);
            Field.Sqr(fe1, a.Z);
            Field.Mul(fe2, a.Z, fe1);
            Field.Mul(a.X, a.X, fe1);
            Field.Mul(a.Y, a.Y, fe2);
            Field.SetInt(a.Z, 1U);
            r.X = a.X.Clone();
            r.Y = a.Y.Clone();
        }
예제 #7
0
        public static bool EcPubKeyCreate(Context ctx, PubKey pubkey, byte[] seckey)
        {
            var r      = new GeJ();
            var ge     = new Ge();
            var scalar = new Scalar();
            var num    = !Scalar.SetB32(scalar, seckey) & !Scalar.IsZero(scalar) ? 1 : 0;

            if (num != 0)
            {
                EcMultGen.secp256k1_ecmult_gen(ctx.EcMultGenCtx, out r, scalar);
                Group.SetGeJ(ge, r);
                Secp256K1T.SavePubKey(pubkey, ge);
            }
            Scalar.Clear(scalar);
            return(num != 0);
        }
예제 #8
0
파일: Group.cs 프로젝트: UUSR/BitcoinABC
 public static void secp256k1_gej_double_var(GeJ r, GeJ a, Fe rzr)
 {
     r.Infinity = a.Infinity;
     if (r.Infinity)
     {
         if (rzr == null)
         {
             return;
         }
         Field.SetInt(rzr, 1U);
     }
     else
     {
         if (rzr != null)
         {
             rzr = a.Y.Clone();
             Field.NormalizeWeak(rzr);
             Field.MulInt(rzr, 2U);
         }
         Field.Mul(r.Z, a.Z, a.Y);
         Field.MulInt(r.Z, 2U);
         var fe1 = new Fe();
         Field.Sqr(fe1, a.X);
         Field.MulInt(fe1, 3U);
         var fe2 = new Fe();
         Field.Sqr(fe2, fe1);
         var fe3 = new Fe();
         Field.Sqr(fe3, a.Y);
         Field.MulInt(fe3, 2U);
         var fe4 = new Fe();
         Field.Sqr(fe4, fe3);
         Field.MulInt(fe4, 2U);
         Field.Mul(fe3, fe3, a.X);
         r.X = fe3.Clone();
         Field.MulInt(r.X, 4U);
         Field.Negate(r.X, r.X, 4U);
         Field.Add(r.X, fe2);
         Field.Negate(fe2, fe2, 1U);
         Field.MulInt(fe3, 6U);
         Field.Add(fe3, fe2);
         Field.Mul(r.Y, fe1, fe3);
         Field.Negate(fe2, fe4, 2U);
         Field.Add(r.Y, fe2);
     }
 }
예제 #9
0
        public static void secp256k1_ecmult_context_build(EcMultContext ctx, EventHandler <Callback> cb)
        {
            if (ctx.PreG != null)
            {
                return;
            }
            var geJ = new GeJ();

            Group.secp256k1_gej_set_ge(geJ, Group.Secp256K1GeConstG);
            var n = 1 << 16 - 2;

            ctx.PreG = new GeStorage[n];
            for (var index = 0; index < n; ++index)
            {
                ctx.PreG[index] = new GeStorage();
            }
            EcMult.secp256k1_ecmult_odd_multiples_table_storage_var(n, ctx.PreG, geJ, cb);
        }
예제 #10
0
        public static void secp256k1_ecmult_odd_multiples_table_storage_var(int n, GeStorage[] pre, GeJ a, EventHandler <Callback> cb)
        {
            var geJArray = new GeJ[n];
            var r        = new Ge[n];
            var zr       = new Fe[n];

            for (var index = 0; index < n; ++index)
            {
                geJArray[index] = new GeJ();
                r[index]        = new Ge();
                zr[index]       = new Fe();
            }
            EcMult.secp256k1_ecmult_odd_multiples_table(n, geJArray, zr, a);
            Group.secp256k1_ge_set_table_gej_var(r, geJArray, zr, n);
            for (var index = 0; index < n; ++index)
            {
                Group.ToStorage(pre[index], r[index]);
            }
        }
예제 #11
0
        public static void secp256k1_ecmult_gen(EcmultGenContext ctx, out GeJ r, Scalar gn)
        {
            var ge        = new Ge();
            var geStorage = new GeStorage();

            r = ctx.Initial.Clone();
            var r1 = new Scalar();

            Scalar.Add(r1, gn, ctx.Blind);
            ge.Infinity = false;
            for (var index1 = 0; index1 < 64; ++index1)
            {
                var bits = r1.GetBits(index1 * 4, 4);
                for (var index2 = 0; index2 < 16; ++index2)
                {
                    Group.StorageCmov(geStorage, ctx.Prec[index1][index2], (long)index2 == (long)bits);
                }
                Group.FromStorage(ge, geStorage);
                Group.GeJAddGe(r, r, ge);
            }
            Group.secp256k1_ge_clear(ge);
            Scalar.Clear(r1);
        }
예제 #12
0
        private static void secp256k1_ecmult_odd_multiples_table(int n, GeJ[] prej, Fe[] zr, GeJ a)
        {
            var r1 = new GeJ();

            Group.secp256k1_gej_double_var(r1, a, (Fe)null);
            var b = new Ge();

            b.X        = r1.X.Clone();
            b.Y        = r1.Y.Clone();
            b.Infinity = false;
            var r2 = new Ge();

            Group.secp256k1_ge_set_gej_zinv(r2, a, r1.Z);
            prej[0].X        = r2.X.Clone();
            prej[0].Y        = r2.Y.Clone();
            prej[0].Z        = a.Z.Clone();
            prej[0].Infinity = false;
            zr[0]            = r1.Z.Clone();
            for (var index = 1; index < n; ++index)
            {
                Group.secp256k1_gej_add_ge_var(prej[index], prej[index - 1], b, zr[index]);
            }
            Field.Mul(prej[n - 1].Z, prej[n - 1].Z, r1.Z);
        }
예제 #13
0
파일: Group.cs 프로젝트: UUSR/BitcoinABC
        public static void GeJAddGe(GeJ r, GeJ a, Ge b)
        {
            var arr = new uint[10];

            arr[0] = 1U;
            var a1 = new Fe(arr);

            if (b.Infinity)
            {
                throw new ArithmeticException();
            }
            var fe1 = new Fe();

            Field.Sqr(fe1, a.Z);
            var fe2 = a.X.Clone();

            Field.NormalizeWeak(fe2);
            var fe3 = new Fe();

            Field.Mul(fe3, b.X, fe1);
            var r1 = a.Y.Clone();

            Field.NormalizeWeak(r1);
            var fe4 = new Fe();

            Field.Mul(fe4, b.Y, fe1);
            Field.Mul(fe4, fe4, a.Z);
            var fe5 = fe2.Clone();

            Field.Add(fe5, fe3);
            var fe6 = r1.Clone();

            Field.Add(fe6, fe4);
            var fe7 = new Fe();

            Field.Sqr(fe7, fe5);
            var fe8 = new Fe();

            Field.Negate(fe8, fe3, 1U);
            var fe9 = new Fe();

            Field.Mul(fe9, fe2, fe8);
            Field.Add(fe7, fe9);
            var flag1 = Field.NormalizesToZero(fe6) && Field.NormalizesToZero(fe7);
            var fe10  = r1.Clone();

            Field.MulInt(fe10, 2U);
            Field.Add(fe8, fe2);
            Field.Cmov(fe10, fe7, !flag1);
            Field.Cmov(fe8, fe6, !flag1);
            var fe11 = new Fe();

            Field.Sqr(fe11, fe8);
            var fe12 = new Fe();

            Field.Mul(fe12, fe11, fe5);
            Field.Sqr(fe11, fe11);
            Field.Cmov(fe11, fe6, flag1);
            Field.Sqr(fe5, fe10);
            Field.Mul(r.Z, a.Z, fe8);
            var flag2 = !a.Infinity && Field.NormalizesToZero(r.Z);

            Field.MulInt(r.Z, 2U);
            Field.Negate(fe12, fe12, 1U);
            Field.Add(fe5, fe12);
            Field.NormalizeWeak(fe5);
            r.X = fe5.Clone();
            Field.MulInt(fe5, 2U);
            Field.Add(fe5, fe12);
            Field.Mul(fe5, fe5, fe10);
            Field.Add(fe5, fe11);
            Field.Negate(r.Y, fe5, 3U);
            Field.NormalizeWeak(r.Y);
            Field.MulInt(r.X, 4U);
            Field.MulInt(r.Y, 4U);
            Field.Cmov(r.X, b.X, a.Infinity);
            Field.Cmov(r.Y, b.Y, a.Infinity);
            Field.Cmov(r.Z, a1, a.Infinity);
            r.Infinity = flag2;
        }
예제 #14
0
파일: Group.cs 프로젝트: UUSR/BitcoinABC
 public static void secp256k1_gej_add_ge_var(GeJ r, GeJ a, Ge b, Fe rzr)
 {
     if (a.Infinity)
     {
         Group.secp256k1_gej_set_ge(r, b);
     }
     else if (b.Infinity)
     {
         if (rzr != null)
         {
             Field.SetInt(rzr, 1U);
         }
         r = a.Clone();
     }
     else
     {
         r.Infinity = false;
         var fe1 = new Fe();
         Field.Sqr(fe1, a.Z);
         var fe2 = a.X.Clone();
         Field.NormalizeWeak(fe2);
         var fe3 = new Fe();
         Field.Mul(fe3, b.X, fe1);
         var fe4 = a.Y.Clone();
         Field.NormalizeWeak(fe4);
         var fe5 = new Fe();
         Field.Mul(fe5, b.Y, fe1);
         Field.Mul(fe5, fe5, a.Z);
         var fe6 = new Fe();
         Field.Negate(fe6, fe2, 1U);
         Field.Add(fe6, fe3);
         var fe7 = new Fe();
         Field.Negate(fe7, fe4, 1U);
         Field.Add(fe7, fe5);
         if (Field.NormalizesToZeroVar(fe6))
         {
             if (Field.NormalizesToZeroVar(fe7))
             {
                 Group.secp256k1_gej_double_var(r, a, rzr);
             }
             else
             {
                 if (rzr != null)
                 {
                     Field.SetInt(rzr, 0U);
                 }
                 r.Infinity = true;
             }
         }
         else
         {
             var fe8 = new Fe();
             Field.Sqr(fe8, fe7);
             var fe9 = new Fe();
             Field.Sqr(fe9, fe6);
             var fe10 = new Fe();
             Field.Mul(fe10, fe6, fe9);
             if (rzr != null)
             {
                 rzr = fe6.Clone();
             }
             Field.Mul(r.Z, a.Z, fe6);
             var fe11 = new Fe();
             Field.Mul(fe11, fe2, fe9);
             r.X = fe11.Clone();
             Field.MulInt(r.X, 2U);
             Field.Add(r.X, fe10);
             Field.Negate(r.X, r.X, 3U);
             Field.Add(r.X, fe8);
             Field.Negate(r.Y, r.X, 5U);
             Field.Add(r.Y, fe11);
             Field.Mul(r.Y, r.Y, fe7);
             Field.Mul(fe10, fe10, fe4);
             Field.Negate(fe10, fe10, 1U);
             Field.Add(r.Y, fe10);
         }
     }
 }
예제 #15
0
        public static void ContextBuild(EcmultGenContext ctx, EventHandler <Callback> cb)
        {
            var r1   = new Ge[1024];
            var r2   = new GeJ();
            var geJ1 = new GeJ();

            if (ctx.Prec != null)
            {
                return;
            }
            ctx.PrecInit();
            Group.secp256k1_gej_set_ge(r2, Group.Secp256K1GeConstG);
            var bytes = Encoding.UTF8.GetBytes("The scalar for this x is unknown");
            var fe    = new Fe();
            var ge    = new Ge();

            Field.SetB32(fe, bytes);
            Group.secp256k1_ge_set_xo_var(ge, fe, false);
            Group.secp256k1_gej_set_ge(geJ1, ge);
            Group.secp256k1_gej_add_ge_var(geJ1, geJ1, Group.Secp256K1GeConstG, (Fe)null);
            var a = new GeJ[1024];

            for (var index = 0; index < a.Length; ++index)
            {
                a[index] = new GeJ();
            }
            var geJ2 = r2.Clone();
            var geJ3 = geJ1.Clone();

            for (var index1 = 0; index1 < 64; ++index1)
            {
                a[index1 * 16] = geJ3.Clone();
                for (var index2 = 1; index2 < 16; ++index2)
                {
                    Group.secp256k1_gej_add_var(a[index1 * 16 + index2], a[index1 * 16 + index2 - 1], geJ2, (Fe)null);
                }
                for (var index2 = 0; index2 < 4; ++index2)
                {
                    Group.secp256k1_gej_double_var(geJ2, geJ2, (Fe)null);
                }
                Group.secp256k1_gej_double_var(geJ3, geJ3, (Fe)null);
                if (index1 == 62)
                {
                    Group.secp256k1_gej_neg(geJ3, geJ3);
                    Group.secp256k1_gej_add_var(geJ3, geJ3, geJ1, (Fe)null);
                }
            }
            for (var index = 0; index < r1.Length; ++index)
            {
                r1[index] = new Ge();
            }
            Group.secp256k1_ge_set_all_gej_var(r1, a, 1024, cb);
            for (var index1 = 0; index1 < 64; ++index1)
            {
                for (var index2 = 0; index2 < 16; ++index2)
                {
                    Group.ToStorage(ctx.Prec[index1][index2], r1[index1 * 16 + index2]);
                }
            }
            EcMultGen.Blind(ctx, (byte[])null);
        }