internal static byte[] ToBytes(this GroupElementP3 p3)
{
byte[] res = new byte[32];
GroupOperations.ge_p3_tobytes(res, 0, ref p3);
return(res);
}
/*
* r = p
*/
public static void ge_p1p1_to_p3(out GroupElementP3 r, ref GroupElementP1P1 p)
{
stellar_dotnet_sdk.chaos.nacl.Internal.Ed25519Ref10.FieldOperations.fe_mul(out r.X, ref p.X, ref p.T);
stellar_dotnet_sdk.chaos.nacl.Internal.Ed25519Ref10.FieldOperations.fe_mul(out r.Y, ref p.Y, ref p.Z);
stellar_dotnet_sdk.chaos.nacl.Internal.Ed25519Ref10.FieldOperations.fe_mul(out r.Z, ref p.Z, ref p.T);
stellar_dotnet_sdk.chaos.nacl.Internal.Ed25519Ref10.FieldOperations.fe_mul(out r.T, ref p.X, ref p.Y);
}
/*
* r = 2 * p
*/
public static void ge_p3_dbl(out GroupElementP1P1 r, ref GroupElementP3 p)
{
GroupElementP2 q;
GroupOperations.ge_p3_to_p2(out q, ref p);
ge_p2_dbl(out r, ref q);
}
/*
* r = p
*/
internal static void ge_p3_to_cached(out GroupElementCached r, ref GroupElementP3 p)
{
FieldOperations.fe_add(out r.YplusX, ref p.Y, ref p.X);
FieldOperations.fe_sub(out r.YminusX, ref p.Y, ref p.X);
r.Z = p.Z;
FieldOperations.fe_mul(out r.T2d, ref p.T, ref LookupTables.d2);
}
/*
* r = p
*/
private static void P3ToCached(out GroupElementCached r, ref GroupElementP3 p)
{
FieldOperations.Add(out r.YplusX, ref p.Y, ref p.X);
FieldOperations.Subtract(out r.YminusX, ref p.Y, ref p.X);
r.Z = p.Z;
FieldOperations.Multiplication(out r.T2d, ref p.T, ref LookupTables.D2);
}
public static void ge_p3_0(out GroupElementP3 h)
{
stellar_dotnet_sdk.chaos.nacl.Internal.Ed25519Ref10.FieldOperations.fe_0(out h.X);
stellar_dotnet_sdk.chaos.nacl.Internal.Ed25519Ref10.FieldOperations.fe_1(out h.Y);
stellar_dotnet_sdk.chaos.nacl.Internal.Ed25519Ref10.FieldOperations.fe_1(out h.Z);
stellar_dotnet_sdk.chaos.nacl.Internal.Ed25519Ref10.FieldOperations.fe_0(out h.T);
}
/*
* r = p
*/
public static void ge_p3_to_cached(out GroupElementCached r, ref GroupElementP3 p)
{
stellar_dotnet_sdk.chaos.nacl.Internal.Ed25519Ref10.FieldOperations.fe_add(out r.YplusX, ref p.Y, ref p.X);
stellar_dotnet_sdk.chaos.nacl.Internal.Ed25519Ref10.FieldOperations.fe_sub(out r.YminusX, ref p.Y, ref p.X);
r.Z = p.Z;
stellar_dotnet_sdk.chaos.nacl.Internal.Ed25519Ref10.FieldOperations.fe_mul(out r.T2d, ref p.T, ref stellar_dotnet_sdk.chaos.nacl.Internal.Ed25519Ref10.LookupTables.d2);
}
/*
* r = 2 * p
*/
private static void GetP3Dbl(out GroupElementP1P1 r, ref GroupElementP3 p)
{
GroupElementP2 q;
P3ConvertToP2(out q, ref p);
GetP2Dbl(out r, ref q);
}
/*
* r = p
*/
private static void P1P1ConvertToP3(out GroupElementP3 r, ref GroupElementP1P1 p)
{
FieldOperations.Multiplication(out r.X, ref p.X, ref p.T);
FieldOperations.Multiplication(out r.Y, ref p.Y, ref p.Z);
FieldOperations.Multiplication(out r.Z, ref p.Z, ref p.T);
FieldOperations.Multiplication(out r.T, ref p.X, ref p.Y);
}
private static GroupElementP1 Madd(ref GroupElementP3 p, ref GroupElementP4 q)
{
var t0 = FieldElementOperations.Add(ref p.Z, ref p.Z); /* D = 2*Z1 */
var r = new GroupElementP1();
/* YpX1 = Y1+X1 */
r.X = FieldElementOperations.Add(ref p.Y, ref p.X);
/* YmX1 = Y1-X1 */
r.Y = FieldElementOperations.Sub(ref p.Y, ref p.X);
/* A = YpX1*ypx2 */
r.Z = FieldElementOperations.Multiplication(ref r.X, ref q.YplusX);
/* B = YmX1*ymx2 */
r.Y = FieldElementOperations.Multiplication(ref r.Y, ref q.YminusX);
/* C = xy2d2*T1 */
r.T = FieldElementOperations.Multiplication(ref q.XY2D, ref p.T);
/* X3 = A-B */
r.X = FieldElementOperations.Sub(ref r.Z, ref r.Y);
/* Y3 = A+B */
r.Y = FieldElementOperations.Add(ref r.Z, ref r.Y);
/* Z3 = D+C */
r.Z = FieldElementOperations.Add(ref t0, ref r.T);
/* T3 = D-C */
r.T = FieldElementOperations.Sub(ref t0, ref r.T);
return(r);
}
internal static void ge_p3_0(out GroupElementP3 h)
{
FieldOperations.fe_0(out h.X);
FieldOperations.fe_1(out h.Y);
FieldOperations.fe_1(out h.Z);
FieldOperations.fe_0(out h.T);
}
/*
* r = p
*/
internal static void ge_p1p1_to_p3(out GroupElementP3 r, ref GroupElementP1P1 p)
{
FieldOperations.fe_mul(out r.X, ref p.X, ref p.T);
FieldOperations.fe_mul(out r.Y, ref p.Y, ref p.Z);
FieldOperations.fe_mul(out r.Z, ref p.Z, ref p.T);
FieldOperations.fe_mul(out r.T, ref p.X, ref p.Y);
}
/*
* r = 2 * p
*/
internal static void ge_p3_dbl(out GroupElementP1P1 r, ref GroupElementP3 p)
{
GroupElementP2 q;
ge_p3_to_p2(out q, ref p);
ge_p2_dbl(out r, ref q);
}
private static void GetP3(out GroupElementP3 h)
{
FieldOperations.FieldOperations_0(out h.X);
FieldOperations.FieldOperations_1(out h.Y);
FieldOperations.FieldOperations_1(out h.Z);
FieldOperations.FieldOperations_0(out h.T);
}
/*
* r = p - q
*/
private static void Subtract(out GroupElementP1P1 r, ref GroupElementP3 p, ref GroupElementCached q)
{
/* qhasm: YpX1 = Y1+X1 */
/* asm 1: Add(>YpX1=fe#1,<Y1=fe#12,<X1=fe#11); */
/* asm 2: Add(>YpX1=r.X,<Y1=p.Y,<X1=p.X); */
FieldOperations.Add(out r.X, ref p.Y, ref p.X);
/* qhasm: YmX1 = Y1-X1 */
/* asm 1: Subtract(>YmX1=fe#2,<Y1=fe#12,<X1=fe#11); */
/* asm 2: Subtract(>YmX1=r.Y,<Y1=p.Y,<X1=p.X); */
FieldOperations.Subtract(out r.Y, ref p.Y, ref p.X);
/* qhasm: A = YpX1*YmX2 */
/* asm 1: Multiplication(>A=fe#3,<YpX1=fe#1,<YmX2=fe#16); */
/* asm 2: Multiplication(>A=r.Z,<YpX1=r.X,<YmX2=q.YminusX); */
FieldOperations.Multiplication(out r.Z, ref r.X, ref q.YminusX);
/* qhasm: B = YmX1*YpX2 */
/* asm 1: Multiplication(>B=fe#2,<YmX1=fe#2,<YpX2=fe#15); */
/* asm 2: Multiplication(>B=r.Y,<YmX1=r.Y,<YpX2=q.YplusX); */
FieldOperations.Multiplication(out r.Y, ref r.Y, ref q.YplusX);
/* qhasm: C = T2d2*T1 */
/* asm 1: Multiplication(>C=fe#4,<T2d2=fe#18,<T1=fe#14); */
/* asm 2: Multiplication(>C=r.T,<T2d2=q.T2d,<T1=p.T); */
FieldOperations.Multiplication(out r.T, ref q.T2d, ref p.T);
/* qhasm: ZZ = Z1*Z2 */
/* asm 1: Multiplication(>ZZ=fe#1,<Z1=fe#13,<Z2=fe#17); */
/* asm 2: Multiplication(>ZZ=r.X,<Z1=p.Z,<Z2=q.Z); */
FieldOperations.Multiplication(out r.X, ref p.Z, ref q.Z);
/* qhasm: D = 2*ZZ */
/* asm 1: Add(>D=fe#5,<ZZ=fe#1,<ZZ=fe#1); */
/* asm 2: Add(>D=t0,<ZZ=r.X,<ZZ=r.X); */
FieldOperations.Add(out var t0, ref r.X, ref r.X);
/* qhasm: X3 = A-B */
/* asm 1: Subtract(>X3=fe#1,<A=fe#3,<B=fe#2); */
/* asm 2: Subtract(>X3=r.X,<A=r.Z,<B=r.Y); */
FieldOperations.Subtract(out r.X, ref r.Z, ref r.Y);
/* qhasm: Y3 = A+B */
/* asm 1: Add(>Y3=fe#2,<A=fe#3,<B=fe#2); */
/* asm 2: Add(>Y3=r.Y,<A=r.Z,<B=r.Y); */
FieldOperations.Add(out r.Y, ref r.Z, ref r.Y);
/* qhasm: Z3 = D-C */
/* asm 1: Subtract(>Z3=fe#3,<D=fe#5,<C=fe#4); */
/* asm 2: Subtract(>Z3=r.Z,<D=t0,<C=r.T); */
FieldOperations.Subtract(out r.Z, ref t0, ref r.T);
/* qhasm: T3 = D+C */
/* asm 1: Add(>T3=fe#4,<D=fe#5,<C=fe#4); */
/* asm 2: Add(>T3=r.T,<D=t0,<C=r.T); */
FieldOperations.Add(out r.T, ref t0, ref r.T);
/* qhasm: return */
}
internal static void ge_p3_tobytes(byte[] s, int offset, ref GroupElementP3 h)
{
FieldOperations.fe_invert(out FieldElement recip, ref h.Z);
FieldOperations.fe_mul(out FieldElement x, ref h.X, ref recip);
FieldOperations.fe_mul(out FieldElement y, ref h.Y, ref recip);
FieldOperations.fe_tobytes(s, offset, ref y);
s[offset + 31] ^= (byte)(FieldOperations.fe_isnegative(ref x) << 7);
}
public static void ge_p3_tobytes(byte[] s, int offset, ref GroupElementP3 h)
{
stellar_dotnet_sdk.chaos.nacl.Internal.Ed25519Ref10.FieldOperations.fe_invert(out var recip, ref h.Z);
stellar_dotnet_sdk.chaos.nacl.Internal.Ed25519Ref10.FieldOperations.fe_mul(out var x, ref h.X, ref recip);
stellar_dotnet_sdk.chaos.nacl.Internal.Ed25519Ref10.FieldOperations.fe_mul(out var y, ref h.Y, ref recip);
stellar_dotnet_sdk.chaos.nacl.Internal.Ed25519Ref10.FieldOperations.fe_tobytes(s, offset, ref y);
s[offset + 31] ^= (byte)(stellar_dotnet_sdk.chaos.nacl.Internal.Ed25519Ref10.FieldOperations.fe_isnegative(ref x) << 7);
}
/*
* r = p - q
*/
private static void Msub(out GroupElementP1P1 r, ref GroupElementP3 p, ref GroupElementPreComp q)
{
FieldElement t0;
/* qhasm: YpX1 = Y1+X1 */
/* asm 1: Add(>YpX1=fe#1,<Y1=fe#12,<X1=fe#11); */
/* asm 2: Add(>YpX1=r.X,<Y1=p.Y,<X1=p.X); */
FieldOperations.Add(out r.X, ref p.Y, ref p.X);
/* qhasm: YmX1 = Y1-X1 */
/* asm 1: Subtract(>YmX1=fe#2,<Y1=fe#12,<X1=fe#11); */
/* asm 2: Subtract(>YmX1=r.Y,<Y1=p.Y,<X1=p.X); */
FieldOperations.Subtract(out r.Y, ref p.Y, ref p.X);
/* qhasm: A = YpX1*ymx2 */
/* asm 1: Multiplication(>A=fe#3,<YpX1=fe#1,<ymx2=fe#16); */
/* asm 2: Multiplication(>A=r.Z,<YpX1=r.X,<ymx2=q.yminusx); */
FieldOperations.Multiplication(out r.Z, ref r.X, ref q.yminusx);
/* qhasm: B = YmX1*ypx2 */
/* asm 1: Multiplication(>B=fe#2,<YmX1=fe#2,<ypx2=fe#15); */
/* asm 2: Multiplication(>B=r.Y,<YmX1=r.Y,<ypx2=q.yplusx); */
FieldOperations.Multiplication(out r.Y, ref r.Y, ref q.yplusx);
/* qhasm: C = xy2d2*T1 */
/* asm 1: Multiplication(>C=fe#4,<xy2d2=fe#17,<T1=fe#14); */
/* asm 2: Multiplication(>C=r.T,<xy2d2=q.xy2d,<T1=p.T); */
FieldOperations.Multiplication(out r.T, ref q.xy2d, ref p.T);
/* qhasm: D = 2*Z1 */
/* asm 1: Add(>D=fe#5,<Z1=fe#13,<Z1=fe#13); */
/* asm 2: Add(>D=t0,<Z1=p.Z,<Z1=p.Z); */
FieldOperations.Add(out t0, ref p.Z, ref p.Z);
/* qhasm: X3 = A-B */
/* asm 1: Subtract(>X3=fe#1,<A=fe#3,<B=fe#2); */
/* asm 2: Subtract(>X3=r.X,<A=r.Z,<B=r.Y); */
FieldOperations.Subtract(out r.X, ref r.Z, ref r.Y);
/* qhasm: Y3 = A+B */
/* asm 1: Add(>Y3=fe#2,<A=fe#3,<B=fe#2); */
/* asm 2: Add(>Y3=r.Y,<A=r.Z,<B=r.Y); */
FieldOperations.Add(out r.Y, ref r.Z, ref r.Y);
/* qhasm: Z3 = D-C */
/* asm 1: Subtract(>Z3=fe#3,<D=fe#5,<C=fe#4); */
/* asm 2: Subtract(>Z3=r.Z,<D=t0,<C=r.T); */
FieldOperations.Subtract(out r.Z, ref t0, ref r.T);
/* qhasm: T3 = D+C */
/* asm 1: Add(>T3=fe#4,<D=fe#5,<C=fe#4); */
/* asm 2: Add(>T3=r.T,<D=t0,<C=r.T); */
FieldOperations.Add(out r.T, ref t0, ref r.T);
/* qhasm: return */
}
/*
* h = a * B
* where a = a[0]+256*a[1]+..+256^31 a[31]
* B is the Ed25519 base point (x,4/5) with x positive.
*
* Preconditions:
* a[31] <= 127
*/
internal static void ge_scalarmult_base(out GroupElementP3 h, byte[] a, int offset)
{
// todo: Perhaps remove this allocation
var e = new sbyte[64];
sbyte carry;
GroupElementP1P1 r;
GroupElementP2 s;
GroupElementPreComp t;
int i;
for (i = 0; i < 32; ++i)
{
e[2 * i + 0] = (sbyte)((a[offset + i] >> 0) & 15);
e[2 * i + 1] = (sbyte)((a[offset + i] >> 4) & 15);
}
/* each e[i] is between 0 and 15 */
/* e[63] is between 0 and 7 */
carry = 0;
for (i = 0; i < 63; ++i)
{
e[i] += carry;
carry = (sbyte)(e[i] + 8);
carry >>= 4;
e[i] -= (sbyte)(carry << 4);
}
e[63] += carry;
/* each e[i] is between -8 and 8 */
ge_p3_0(out h);
for (i = 1; i < 64; i += 2)
{
select(out t, i / 2, e[i]);
ge_madd(out r, ref h, ref t);
ge_p1p1_to_p3(out h, ref r);
}
ge_p3_dbl(out r, ref h);
ge_p1p1_to_p2(out s, ref r);
ge_p2_dbl(out r, ref s);
ge_p1p1_to_p2(out s, ref r);
ge_p2_dbl(out r, ref s);
ge_p1p1_to_p2(out s, ref r);
ge_p2_dbl(out r, ref s);
ge_p1p1_to_p3(out h, ref r);
for (i = 0; i < 64; i += 2)
{
select(out t, i / 2, e[i]);
ge_madd(out r, ref h, ref t);
ge_p1p1_to_p3(out h, ref r);
}
}
public static void ScalarMultBase(out GroupElementP3 h, byte[] a, int offset)
{
var e = new sbyte[64];
GroupElementP1P1 r;
GroupElementP2 s;
GroupElementPreComp t;
for (var i = 0; i < 32; ++i)
{
e[2 * i + 0] = (sbyte)(a[offset + i] & 15);
e[2 * i + 1] = (sbyte)((a[offset + i] >> 4) & 15);
}
/* each e[i] is between 0 and 15 */
/* e[63] is between 0 and 7 */
sbyte carry = 0;
for (var i = 0; i < 63; ++i)
{
e[i] += carry;
carry = (sbyte)(e[i] + 8);
carry >>= 4;
e[i] -= (sbyte)(carry << 4);
}
e[63] += carry;
/* each e[i] is between -8 and 8 */
GetP3(out h);
for (var i = 1; i < 64; i += 2)
{
Select(out t, i / 2, e[i]);
Madd(out r, ref h, ref t);
P1P1ConvertToP3(out h, ref r);
}
GetP3Dbl(out r, ref h);
P1P1ConvertToP2(out s, ref r);
GetP2Dbl(out r, ref s);
P1P1ConvertToP2(out s, ref r);
GetP2Dbl(out r, ref s);
P1P1ConvertToP2(out s, ref r);
GetP2Dbl(out r, ref s);
P1P1ConvertToP3(out h, ref r);
for (var i = 0; i < 64; i += 2)
{
Select(out t, i / 2, e[i]);
Madd(out r, ref h, ref t);
P1P1ConvertToP3(out h, ref r);
}
}
/*
* h = a * B
* where a = a[0]+256*a[1]+...+256^31 a[31]
* B is the Ed25519 base point (x,4/5) with x positive.
*
* Preconditions:
* a[31] <= 127
*/
public static void GeScalarmultBase(out GroupElementP3 h, byte[] a, int offset)
{
sbyte[] e = new sbyte[64];
GroupElementP1P1 r;
GroupElementPreComp t;
int i;
for (i = 0; i < 32; ++i)
{
e[2 * i + 0] = (sbyte)((a[offset + i] >> 0) & 15);
e[2 * i + 1] = (sbyte)((a[offset + i] >> 4) & 15);
}
/* each e[i] is between 0 and 15 */
/* e[63] is between 0 and 7 */
sbyte carry = 0;
for (i = 0; i < 63; ++i)
{
e[i] += carry;
carry = (sbyte)(e[i] + 8);
carry >>= 4;
e[i] -= (sbyte)(carry << 4);
}
e[63] += carry;
/* each e[i] is between -8 and 8 */
ge_p3_0(out h);
for (i = 1; i < 64; i += 2)
{
Select(out t, i / 2, e[i]);
ge_madd(out r, ref h, ref t);
ge_p1p1_to_p3(out h, ref r);
}
ge_p3_dbl(out r, ref h);
ge_p1p1_to_p2(out GroupElementP2 s, ref r);
ge_p2_dbl(out r, ref s);
ge_p1p1_to_p2(out s, ref r);
ge_p2_dbl(out r, ref s);
ge_p1p1_to_p2(out s, ref r);
ge_p2_dbl(out r, ref s);
ge_p1p1_to_p3(out h, ref r);
for (i = 0; i < 64; i += 2)
{
Select(out t, i / 2, e[i]);
ge_madd(out r, ref h, ref t);
ge_p1p1_to_p3(out h, ref r);
}
}
private static GroupElementP1 P3ToP1(ref GroupElementP3 p)
{
//r = 2 * p
var q = new GroupElementP2
{
//r = p
X = p.X,
Y = p.Y,
Z = p.Z
};
return(P2ToP1(ref q));
}
public static int ge_frombytes_negate_vartime(out GroupElementP3 h, byte[] data, int offset)
{
FieldElement u;
FieldElement v;
FieldElement v3;
FieldElement vxx;
FieldElement check;
FieldOperations.fe_frombytes(out h.Y, data, offset);
FieldOperations.fe_1(out h.Z);
FieldOperations.fe_sq(out u, ref h.Y);
FieldOperations.fe_mul(out v, ref u, ref LookupTables.d);
FieldOperations.fe_sub(out u, ref u, ref h.Z); /* u = y^2-1 */
FieldOperations.fe_add(out v, ref v, ref h.Z); /* v = dy^2+1 */
FieldOperations.fe_sq(out v3, ref v);
FieldOperations.fe_mul(out v3, ref v3, ref v); /* v3 = v^3 */
FieldOperations.fe_sq(out h.X, ref v3);
FieldOperations.fe_mul(out h.X, ref h.X, ref v);
FieldOperations.fe_mul(out h.X, ref h.X, ref u); /* x = uv^7 */
FieldOperations.fe_pow22523(out h.X, ref h.X); /* x = (uv^7)^((q-5)/8) */
FieldOperations.fe_mul(out h.X, ref h.X, ref v3);
FieldOperations.fe_mul(out h.X, ref h.X, ref u); /* x = uv^3(uv^7)^((q-5)/8) */
FieldOperations.fe_sq(out vxx, ref h.X);
FieldOperations.fe_mul(out vxx, ref vxx, ref v);
FieldOperations.fe_sub(out check, ref vxx, ref u); /* vx^2-u */
if (FieldOperations.fe_isnonzero(ref check) != 0)
{
FieldOperations.fe_add(out check, ref vxx, ref u); /* vx^2+u */
if (FieldOperations.fe_isnonzero(ref check) != 0)
{
h = default(GroupElementP3);
return(-1);
}
FieldOperations.fe_mul(out h.X, ref h.X, ref LookupTables.sqrtm1);
}
if (FieldOperations.fe_isnegative(ref h.X) == (data[offset + 31] >> 7))
{
FieldOperations.fe_neg(out h.X, ref h.X);
}
FieldOperations.fe_mul(out h.T, ref h.X, ref h.Y);
return(0);
}
internal static void crypto_sign2(
byte[] sig,
byte[] m,
byte[] sk,
int keylen)
{
byte[] privHash = new byte[64];
byte[] seededHash = new byte[64];
byte[] result = new byte[64];
GroupElementP3 R = new GroupElementP3();
var hasher = new KeccakDigest(512);
{
var reversedPrivateKey = new byte[keylen];
Array.Copy(sk, 0, reversedPrivateKey, 0, keylen);
Array.Reverse(reversedPrivateKey);
hasher.BlockUpdate(reversedPrivateKey, 0, keylen);
hasher.DoFinal(privHash, 0);
ScalarOperations.sc_clamp(privHash, 0);
hasher.Reset();
hasher.BlockUpdate(privHash, 32, 32);
hasher.BlockUpdate(m, 0, m.Length);
hasher.DoFinal(seededHash, 0);
ScalarOperations.sc_reduce(seededHash);
GroupOperations.ge_scalarmult_base(out R, seededHash, 0);
GroupOperations.ge_p3_tobytes(sig, 0, ref R);
hasher.Reset();
hasher.BlockUpdate(sig, 0, 32);
hasher.BlockUpdate(sk, keylen, 32);
hasher.BlockUpdate(m, 0, m.Length);
hasher.DoFinal(result, 0);
ScalarOperations.sc_reduce(result);
var s = new byte[32]; //todo: remove allocation
Array.Copy(sig, 32, s, 0, 32);
ScalarOperations.sc_muladd(s, result, privHash, seededHash);
Array.Copy(s, 0, sig, 32, 32);
CryptoBytes.Wipe(s);
}
}
public static int ge_frombytes_negate_vartime(out GroupElementP3 h, byte[] data, int offset)
{
stellar_dotnet_sdk.chaos.nacl.Internal.Ed25519Ref10.FieldOperations.fe_frombytes(out h.Y, data, offset);
stellar_dotnet_sdk.chaos.nacl.Internal.Ed25519Ref10.FieldOperations.fe_1(out h.Z);
stellar_dotnet_sdk.chaos.nacl.Internal.Ed25519Ref10.FieldOperations.fe_sq(out var u, ref h.Y);
stellar_dotnet_sdk.chaos.nacl.Internal.Ed25519Ref10.FieldOperations.fe_mul(out var v, ref u, ref stellar_dotnet_sdk.chaos.nacl.Internal.Ed25519Ref10.LookupTables.D);
stellar_dotnet_sdk.chaos.nacl.Internal.Ed25519Ref10.FieldOperations.fe_sub(out u, ref u, ref h.Z); /* u = y^2-1 */
stellar_dotnet_sdk.chaos.nacl.Internal.Ed25519Ref10.FieldOperations.fe_add(out v, ref v, ref h.Z); /* v = dy^2+1 */
stellar_dotnet_sdk.chaos.nacl.Internal.Ed25519Ref10.FieldOperations.fe_sq(out var v3, ref v);
stellar_dotnet_sdk.chaos.nacl.Internal.Ed25519Ref10.FieldOperations.fe_mul(out v3, ref v3, ref v); /* v3 = v^3 */
stellar_dotnet_sdk.chaos.nacl.Internal.Ed25519Ref10.FieldOperations.fe_sq(out h.X, ref v3);
stellar_dotnet_sdk.chaos.nacl.Internal.Ed25519Ref10.FieldOperations.fe_mul(out h.X, ref h.X, ref v);
stellar_dotnet_sdk.chaos.nacl.Internal.Ed25519Ref10.FieldOperations.fe_mul(out h.X, ref h.X, ref u); /* x = uv^7 */
stellar_dotnet_sdk.chaos.nacl.Internal.Ed25519Ref10.FieldOperations.fe_pow22523(out h.X, ref h.X); /* x = (uv^7)^((q-5)/8) */
stellar_dotnet_sdk.chaos.nacl.Internal.Ed25519Ref10.FieldOperations.fe_mul(out h.X, ref h.X, ref v3);
stellar_dotnet_sdk.chaos.nacl.Internal.Ed25519Ref10.FieldOperations.fe_mul(out h.X, ref h.X, ref u); /* x = uv^3(uv^7)^((q-5)/8) */
stellar_dotnet_sdk.chaos.nacl.Internal.Ed25519Ref10.FieldOperations.fe_sq(out var vxx, ref h.X);
stellar_dotnet_sdk.chaos.nacl.Internal.Ed25519Ref10.FieldOperations.fe_mul(out vxx, ref vxx, ref v);
stellar_dotnet_sdk.chaos.nacl.Internal.Ed25519Ref10.FieldOperations.fe_sub(out var check, ref vxx, ref u); /* vx^2-u */
if (stellar_dotnet_sdk.chaos.nacl.Internal.Ed25519Ref10.FieldOperations.fe_isnonzero(ref check) != 0)
{
stellar_dotnet_sdk.chaos.nacl.Internal.Ed25519Ref10.FieldOperations.fe_add(out check, ref vxx, ref u); /* vx^2+u */
if (stellar_dotnet_sdk.chaos.nacl.Internal.Ed25519Ref10.FieldOperations.fe_isnonzero(ref check) != 0)
{
h = default(GroupElementP3);
return(-1);
}
stellar_dotnet_sdk.chaos.nacl.Internal.Ed25519Ref10.FieldOperations.fe_mul(out h.X, ref h.X, ref stellar_dotnet_sdk.chaos.nacl.Internal.Ed25519Ref10.LookupTables.Sqrtm1);
}
if (stellar_dotnet_sdk.chaos.nacl.Internal.Ed25519Ref10.FieldOperations.fe_isnegative(ref h.X) == data[offset + 31] >> 7)
{
stellar_dotnet_sdk.chaos.nacl.Internal.Ed25519Ref10.FieldOperations.fe_neg(out h.X, ref h.X);
}
stellar_dotnet_sdk.chaos.nacl.Internal.Ed25519Ref10.FieldOperations.fe_mul(out h.T, ref h.X, ref h.Y);
return(0);
}
public static int FromBytes(out GroupElementP3 h, byte[] data, int offset)
{
FieldOperations.FromBytes(out h.Y, data, offset);
FieldOperations.FieldOperations_1(out h.Z);
FieldOperations.Square(out var u, ref h.Y);
FieldOperations.Multiplication(out var v, ref u, ref LookupTables.D);
FieldOperations.Subtract(out u, ref u, ref h.Z); /* u = y^2-1 */
FieldOperations.Add(out v, ref v, ref h.Z); /* v = dy^2+1 */
FieldOperations.Square(out var v3, ref v);
FieldOperations.Multiplication(out v3, ref v3, ref v); /* v3 = v^3 */
FieldOperations.Square(out h.X, ref v3);
FieldOperations.Multiplication(out h.X, ref h.X, ref v);
FieldOperations.Multiplication(out h.X, ref h.X, ref u); /* x = uv^7 */
FieldOperations.Pow22523(out h.X, ref h.X); /* x = (uv^7)^((q-5)/8) */
FieldOperations.Multiplication(out h.X, ref h.X, ref v3);
FieldOperations.Multiplication(out h.X, ref h.X, ref u); /* x = uv^3(uv^7)^((q-5)/8) */
FieldOperations.Square(out var vxx, ref h.X);
FieldOperations.Multiplication(out vxx, ref vxx, ref v);
FieldOperations.Subtract(out var check, ref vxx, ref u); /* vx^2-u */
if (FieldOperations.IsNonZero(ref check) != 0)
{
FieldOperations.Add(out check, ref vxx, ref u); /* vx^2+u */
if (FieldOperations.IsNonZero(ref check) != 0)
{
h = default;
return(-1);
}
FieldOperations.Multiplication(out h.X, ref h.X, ref LookupTables.Sqrtm1);
}
if (FieldOperations.IsNegative(ref h.X) == data[offset + 31] >> 7)
{
FieldOperations.Negative(out h.X, ref h.X);
}
FieldOperations.Multiplication(out h.T, ref h.X, ref h.Y);
return(0);
}
/*
* r = p - q
*/
public static void ge_msub(out GroupElementP1P1 r, ref GroupElementP3 p, ref GroupElementPreComp q)
{
/* qhasm: enter ge_msub */
/* qhasm: fe X1 */
/* qhasm: fe Y1 */
/* qhasm: fe Z1 */
/* qhasm: fe T1 */
/* qhasm: fe ypx2 */
/* qhasm: fe ymx2 */
/* qhasm: fe xy2d2 */
/* qhasm: fe X3 */
/* qhasm: fe Y3 */
/* qhasm: fe Z3 */
/* qhasm: fe T3 */
/* qhasm: fe YpX1 */
/* qhasm: fe YmX1 */
/* qhasm: fe A */
/* qhasm: fe B */
/* qhasm: fe C */
/* qhasm: fe D */
/* qhasm: YpX1 = Y1+X1 */
/* asm 1: fe_add(>YpX1=fe#1,<Y1=fe#12,<X1=fe#11); */
/* asm 2: fe_add(>YpX1=r.X,<Y1=p.Y,<X1=p.X); */
FieldOperations.fe_add(out r.X, ref p.Y, ref p.X);
/* qhasm: YmX1 = Y1-X1 */
/* asm 1: fe_sub(>YmX1=fe#2,<Y1=fe#12,<X1=fe#11); */
/* asm 2: fe_sub(>YmX1=r.Y,<Y1=p.Y,<X1=p.X); */
FieldOperations.fe_sub(out r.Y, ref p.Y, ref p.X);
/* qhasm: A = YpX1*ymx2 */
/* asm 1: fe_mul(>A=fe#3,<YpX1=fe#1,<ymx2=fe#16); */
/* asm 2: fe_mul(>A=r.Z,<YpX1=r.X,<ymx2=q.yminusx); */
FieldOperations.fe_mul(out r.Z, ref r.X, ref q.yminusx);
/* qhasm: B = YmX1*ypx2 */
/* asm 1: fe_mul(>B=fe#2,<YmX1=fe#2,<ypx2=fe#15); */
/* asm 2: fe_mul(>B=r.Y,<YmX1=r.Y,<ypx2=q.yplusx); */
FieldOperations.fe_mul(out r.Y, ref r.Y, ref q.yplusx);
/* qhasm: C = xy2d2*T1 */
/* asm 1: fe_mul(>C=fe#4,<xy2d2=fe#17,<T1=fe#14); */
/* asm 2: fe_mul(>C=r.T,<xy2d2=q.xy2d,<T1=p.T); */
FieldOperations.fe_mul(out r.T, ref q.xy2d, ref p.T);
/* qhasm: D = 2*Z1 */
/* asm 1: fe_add(>D=fe#5,<Z1=fe#13,<Z1=fe#13); */
/* asm 2: fe_add(>D=t0,<Z1=p.Z,<Z1=p.Z); */
FieldOperations.fe_add(out FieldElement t0, ref p.Z, ref p.Z);
/* qhasm: X3 = A-B */
/* asm 1: fe_sub(>X3=fe#1,<A=fe#3,<B=fe#2); */
/* asm 2: fe_sub(>X3=r.X,<A=r.Z,<B=r.Y); */
FieldOperations.fe_sub(out r.X, ref r.Z, ref r.Y);
/* qhasm: Y3 = A+B */
/* asm 1: fe_add(>Y3=fe#2,<A=fe#3,<B=fe#2); */
/* asm 2: fe_add(>Y3=r.Y,<A=r.Z,<B=r.Y); */
FieldOperations.fe_add(out r.Y, ref r.Z, ref r.Y);
/* qhasm: Z3 = D-C */
/* asm 1: fe_sub(>Z3=fe#3,<D=fe#5,<C=fe#4); */
/* asm 2: fe_sub(>Z3=r.Z,<D=t0,<C=r.T); */
FieldOperations.fe_sub(out r.Z, ref t0, ref r.T);
/* qhasm: T3 = D+C */
/* asm 1: fe_add(>T3=fe#4,<D=fe#5,<C=fe#4); */
/* asm 2: fe_add(>T3=r.T,<D=t0,<C=r.T); */
FieldOperations.fe_add(out r.T, ref t0, ref r.T);
/* qhasm: return */
}
public static void DoubleScalarMult(out GroupElementP2 r, byte[] a, ref GroupElementP3 A, byte[] b)
{
var Bi = LookupTables.Base2;
// todo: Perhaps remove these allocations?
var aslide = new sbyte[256];
var bslide = new sbyte[256];
var Ai = new GroupElementCached[8]; /* A,3A,5A,7A,9A,11A,13A,15A */
GroupElementP1P1 t;
GroupElementP3 u;
GroupElementP3 A2;
int i;
Slide(aslide, a);
Slide(bslide, b);
P3ToCached(out Ai[0], ref A);
GetP3Dbl(out t, ref A);
P1P1ConvertToP3(out A2, ref t);
Add(out t, ref A2, ref Ai[0]);
P1P1ConvertToP3(out u, ref t);
P3ToCached(out Ai[1], ref u);
Add(out t, ref A2, ref Ai[1]);
P1P1ConvertToP3(out u, ref t);
P3ToCached(out Ai[2], ref u);
Add(out t, ref A2, ref Ai[2]);
P1P1ConvertToP3(out u, ref t);
P3ToCached(out Ai[3], ref u);
Add(out t, ref A2, ref Ai[3]);
P1P1ConvertToP3(out u, ref t);
P3ToCached(out Ai[4], ref u);
Add(out t, ref A2, ref Ai[4]);
P1P1ConvertToP3(out u, ref t);
P3ToCached(out Ai[5], ref u);
Add(out t, ref A2, ref Ai[5]);
P1P1ConvertToP3(out u, ref t);
P3ToCached(out Ai[6], ref u);
Add(out t, ref A2, ref Ai[6]);
P1P1ConvertToP3(out u, ref t);
P3ToCached(out Ai[7], ref u);
GetP2(out r);
for (i = 255; i >= 0; --i)
{
if (aslide[i] != 0 || bslide[i] != 0)
{
break;
}
}
for (; i >= 0; --i)
{
GetP2Dbl(out t, ref r);
if (aslide[i] > 0)
{
P1P1ConvertToP3(out u, ref t);
Add(out t, ref u, ref Ai[aslide[i] / 2]);
}
else if (aslide[i] < 0)
{
P1P1ConvertToP3(out u, ref t);
Subtract(out t, ref u, ref Ai[-aslide[i] / 2]);
}
if (bslide[i] > 0)
{
P1P1ConvertToP3(out u, ref t);
Madd(out t, ref u, ref Bi[bslide[i] / 2]);
}
else if (bslide[i] < 0)
{
P1P1ConvertToP3(out u, ref t);
Msub(out t, ref u, ref Bi[-bslide[i] / 2]);
}
P1P1ConvertToP2(out r, ref t);
}
}
/*
* r = p + q
*/
internal static void ge_add(out GroupElementP1P1 r, ref GroupElementP3 p, ref GroupElementCached q)
{
/* qhasm: enter GroupElementadd */
/* qhasm: fe X1 */
/* qhasm: fe Y1 */
/* qhasm: fe Z1 */
/* qhasm: fe Z2 */
/* qhasm: fe T1 */
/* qhasm: fe ZZ */
/* qhasm: fe YpX2 */
/* qhasm: fe YmX2 */
/* qhasm: fe T2d2 */
/* qhasm: fe X3 */
/* qhasm: fe Y3 */
/* qhasm: fe Z3 */
/* qhasm: fe T3 */
/* qhasm: fe YpX1 */
/* qhasm: fe YmX1 */
/* qhasm: fe A */
/* qhasm: fe B */
/* qhasm: fe C */
/* qhasm: fe D */
/* qhasm: YpX1 = Y1+X1 */
/* asm 1: fe_add(>YpX1=fe#1,<Y1=fe#12,<X1=fe#11); */
/* asm 2: fe_add(>YpX1=r.X,<Y1=p.Y,<X1=p.X); */
FieldOperations.fe_add(out r.X, ref p.Y, ref p.X);
/* qhasm: YmX1 = Y1-X1 */
/* asm 1: fe_sub(>YmX1=fe#2,<Y1=fe#12,<X1=fe#11); */
/* asm 2: fe_sub(>YmX1=r.Y,<Y1=p.Y,<X1=p.X); */
FieldOperations.fe_sub(out r.Y, ref p.Y, ref p.X);
/* qhasm: A = YpX1*YpX2 */
/* asm 1: fe_mul(>A=fe#3,<YpX1=fe#1,<YpX2=fe#15); */
/* asm 2: fe_mul(>A=r.Z,<YpX1=r.X,<YpX2=q.YplusX); */
FieldOperations.fe_mul(out r.Z, ref r.X, ref q.YplusX);
/* qhasm: B = YmX1*YmX2 */
/* asm 1: fe_mul(>B=fe#2,<YmX1=fe#2,<YmX2=fe#16); */
/* asm 2: fe_mul(>B=r.Y,<YmX1=r.Y,<YmX2=q.YminusX); */
FieldOperations.fe_mul(out r.Y, ref r.Y, ref q.YminusX);
/* qhasm: C = T2d2*T1 */
/* asm 1: fe_mul(>C=fe#4,<T2d2=fe#18,<T1=fe#14); */
/* asm 2: fe_mul(>C=r.T,<T2d2=q.T2d,<T1=p.T); */
FieldOperations.fe_mul(out r.T, ref q.T2d, ref p.T);
/* qhasm: ZZ = Z1*Z2 */
/* asm 1: fe_mul(>ZZ=fe#1,<Z1=fe#13,<Z2=fe#17); */
/* asm 2: fe_mul(>ZZ=r.X,<Z1=p.Z,<Z2=q.Z); */
FieldOperations.fe_mul(out r.X, ref p.Z, ref q.Z);
/* qhasm: D = 2*ZZ */
/* asm 1: fe_add(>D=fe#5,<ZZ=fe#1,<ZZ=fe#1); */
/* asm 2: fe_add(>D=t0,<ZZ=r.X,<ZZ=r.X); */
FieldOperations.fe_add(out FieldElement t0, ref r.X, ref r.X);
/* qhasm: X3 = A-B */
/* asm 1: fe_sub(>X3=fe#1,<A=fe#3,<B=fe#2); */
/* asm 2: fe_sub(>X3=r.X,<A=r.Z,<B=r.Y); */
FieldOperations.fe_sub(out r.X, ref r.Z, ref r.Y);
/* qhasm: Y3 = A+B */
/* asm 1: fe_add(>Y3=fe#2,<A=fe#3,<B=fe#2); */
/* asm 2: fe_add(>Y3=r.Y,<A=r.Z,<B=r.Y); */
FieldOperations.fe_add(out r.Y, ref r.Z, ref r.Y);
/* qhasm: Z3 = D+C */
/* asm 1: fe_add(>Z3=fe#3,<D=fe#5,<C=fe#4); */
/* asm 2: fe_add(>Z3=r.Z,<D=t0,<C=r.T); */
FieldOperations.fe_add(out r.Z, ref t0, ref r.T);
/* qhasm: T3 = D-C */
/* asm 1: fe_sub(>T3=fe#4,<D=fe#5,<C=fe#4); */
/* asm 2: fe_sub(>T3=r.T,<D=t0,<C=r.T); */
FieldOperations.fe_sub(out r.T, ref t0, ref r.T);
/* qhasm: return */
}
/*
* r = a * A + b * B
* where a = a[0]+256*a[1]+...+256^31 a[31].
* and b = b[0]+256*b[1]+...+256^31 b[31].
* B is the Ed25519 base point (x,4/5) with x positive.
*/
public static void ge_double_scalarmult_vartime(out GroupElementP2 r, byte[] a, ref GroupElementP3 A, byte[] b)
{
GroupElementPreComp[] Bi = LookupTables.Base2;
sbyte[] aslide = new sbyte[256];
sbyte[] bslide = new sbyte[256];
GroupElementCached[] ai = new GroupElementCached[8]; /* A,3A,5A,7A,9A,11A,13A,15A */
int i;
Slide(aslide, a);
Slide(bslide, b);
ge_p3_to_cached(out ai[0], ref A);
ge_p3_dbl(out GroupElementP1P1 t, ref A);
ge_p1p1_to_p3(out GroupElementP3 A2, ref t);
ge_add(out t, ref A2, ref ai[0]);
ge_p1p1_to_p3(out GroupElementP3 u, ref t);
ge_p3_to_cached(out ai[1], ref u);
ge_add(out t, ref A2, ref ai[1]);
ge_p1p1_to_p3(out u, ref t);
ge_p3_to_cached(out ai[2], ref u);
ge_add(out t, ref A2, ref ai[2]);
ge_p1p1_to_p3(out u, ref t);
ge_p3_to_cached(out ai[3], ref u);
ge_add(out t, ref A2, ref ai[3]);
ge_p1p1_to_p3(out u, ref t);
ge_p3_to_cached(out ai[4], ref u);
ge_add(out t, ref A2, ref ai[4]);
ge_p1p1_to_p3(out u, ref t);
ge_p3_to_cached(out ai[5], ref u);
ge_add(out t, ref A2, ref ai[5]);
ge_p1p1_to_p3(out u, ref t);
ge_p3_to_cached(out ai[6], ref u);
ge_add(out t, ref A2, ref ai[6]);
ge_p1p1_to_p3(out u, ref t);
ge_p3_to_cached(out ai[7], ref u);
ge_p2_0(out r);
for (i = 255; i >= 0; --i)
{
if (aslide[i] != 0 || bslide[i] != 0)
{
break;
}
}
for (; i >= 0; --i)
{
ge_p2_dbl(out t, ref r);
if (aslide[i] > 0)
{
ge_p1p1_to_p3(out u, ref t);
ge_add(out t, ref u, ref ai[aslide[i] / 2]);
}
else if (aslide[i] < 0)
{
ge_p1p1_to_p3(out u, ref t);
GeSub(out t, ref u, ref ai[-aslide[i] / 2]);
}
if (bslide[i] > 0)
{
ge_p1p1_to_p3(out u, ref t);
ge_madd(out t, ref u, ref Bi[bslide[i] / 2]);
}
else if (bslide[i] < 0)
{
ge_p1p1_to_p3(out u, ref t);
ge_msub(out t, ref u, ref Bi[-bslide[i] / 2]);
}
ge_p1p1_to_p2(out r, ref t);
}
}
