internal static void scalarmult( out FieldElement q, byte[] n, int noffset, ref FieldElement p) { byte[] e = new byte[32]; //ToDo: remove allocation UInt32 i; FieldElement x1; FieldElement x2; FieldElement z2; FieldElement x3; FieldElement z3; FieldElement tmp0; FieldElement tmp1; int pos; UInt32 swap; UInt32 b; for (i = 0; i < 32; ++i) { e[i] = n[noffset + i]; } ScalarOperations.sc_clamp(e, 0); x1 = p; FieldOperations.fe_1(out x2); FieldOperations.fe_0(out z2); x3 = x1; FieldOperations.fe_1(out z3); swap = 0; for (pos = 254; pos >= 0; --pos) { b = (uint)(e[pos / 8] >> (pos & 7)); b &= 1; swap ^= b; FieldOperations.fe_cswap(ref x2, ref x3, swap); FieldOperations.fe_cswap(ref z2, ref z3, swap); swap = b; /* qhasm: fe X2 */ /* qhasm: fe Z2 */ /* qhasm: fe X3 */ /* qhasm: fe Z3 */ /* qhasm: fe X4 */ /* qhasm: fe Z4 */ /* qhasm: fe X5 */ /* qhasm: fe Z5 */ /* qhasm: fe A */ /* qhasm: fe B */ /* qhasm: fe C */ /* qhasm: fe D */ /* qhasm: fe E */ /* qhasm: fe AA */ /* qhasm: fe BB */ /* qhasm: fe DA */ /* qhasm: fe CB */ /* qhasm: fe t0 */ /* qhasm: fe t1 */ /* qhasm: fe t2 */ /* qhasm: fe t3 */ /* qhasm: fe t4 */ /* qhasm: enter ladder */ /* qhasm: D = X3-Z3 */ /* asm 1: fe_sub(>D=fe#5,<X3=fe#3,<Z3=fe#4); */ /* asm 2: fe_sub(>D=tmp0,<X3=x3,<Z3=z3); */ FieldOperations.fe_sub(out tmp0, ref x3, ref z3); /* qhasm: B = X2-Z2 */ /* asm 1: fe_sub(>B=fe#6,<X2=fe#1,<Z2=fe#2); */ /* asm 2: fe_sub(>B=tmp1,<X2=x2,<Z2=z2); */ FieldOperations.fe_sub(out tmp1, ref x2, ref z2); /* qhasm: A = X2+Z2 */ /* asm 1: fe_add(>A=fe#1,<X2=fe#1,<Z2=fe#2); */ /* asm 2: fe_add(>A=x2,<X2=x2,<Z2=z2); */ FieldOperations.fe_add(out x2, ref x2, ref z2); /* qhasm: C = X3+Z3 */ /* asm 1: fe_add(>C=fe#2,<X3=fe#3,<Z3=fe#4); */ /* asm 2: fe_add(>C=z2,<X3=x3,<Z3=z3); */ FieldOperations.fe_add(out z2, ref x3, ref z3); /* qhasm: DA = D*A */ /* asm 1: fe_mul(>DA=fe#4,<D=fe#5,<A=fe#1); */ /* asm 2: fe_mul(>DA=z3,<D=tmp0,<A=x2); */ FieldOperations.fe_mul(out z3, ref tmp0, ref x2); /* qhasm: CB = C*B */ /* asm 1: fe_mul(>CB=fe#2,<C=fe#2,<B=fe#6); */ /* asm 2: fe_mul(>CB=z2,<C=z2,<B=tmp1); */ FieldOperations.fe_mul(out z2, ref z2, ref tmp1); /* qhasm: BB = B^2 */ /* asm 1: fe_sq(>BB=fe#5,<B=fe#6); */ /* asm 2: fe_sq(>BB=tmp0,<B=tmp1); */ FieldOperations.fe_sq(out tmp0, ref tmp1); /* qhasm: AA = A^2 */ /* asm 1: fe_sq(>AA=fe#6,<A=fe#1); */ /* asm 2: fe_sq(>AA=tmp1,<A=x2); */ FieldOperations.fe_sq(out tmp1, ref x2); /* qhasm: t0 = DA+CB */ /* asm 1: fe_add(>t0=fe#3,<DA=fe#4,<CB=fe#2); */ /* asm 2: fe_add(>t0=x3,<DA=z3,<CB=z2); */ FieldOperations.fe_add(out x3, ref z3, ref z2); /* qhasm: assign x3 to t0 */ /* qhasm: t1 = DA-CB */ /* asm 1: fe_sub(>t1=fe#2,<DA=fe#4,<CB=fe#2); */ /* asm 2: fe_sub(>t1=z2,<DA=z3,<CB=z2); */ FieldOperations.fe_sub(out z2, ref z3, ref z2); /* qhasm: X4 = AA*BB */ /* asm 1: fe_mul(>X4=fe#1,<AA=fe#6,<BB=fe#5); */ /* asm 2: fe_mul(>X4=x2,<AA=tmp1,<BB=tmp0); */ FieldOperations.fe_mul(out x2, ref tmp1, ref tmp0); /* qhasm: E = AA-BB */ /* asm 1: fe_sub(>E=fe#6,<AA=fe#6,<BB=fe#5); */ /* asm 2: fe_sub(>E=tmp1,<AA=tmp1,<BB=tmp0); */ FieldOperations.fe_sub(out tmp1, ref tmp1, ref tmp0); /* qhasm: t2 = t1^2 */ /* asm 1: fe_sq(>t2=fe#2,<t1=fe#2); */ /* asm 2: fe_sq(>t2=z2,<t1=z2); */ FieldOperations.fe_sq(out z2, ref z2); /* qhasm: t3 = a24*E */ /* asm 1: fe_mul121666(>t3=fe#4,<E=fe#6); */ /* asm 2: fe_mul121666(>t3=z3,<E=tmp1); */ FieldOperations.fe_mul121666(out z3, ref tmp1); /* qhasm: X5 = t0^2 */ /* asm 1: fe_sq(>X5=fe#3,<t0=fe#3); */ /* asm 2: fe_sq(>X5=x3,<t0=x3); */ FieldOperations.fe_sq(out x3, ref x3); /* qhasm: t4 = BB+t3 */ /* asm 1: fe_add(>t4=fe#5,<BB=fe#5,<t3=fe#4); */ /* asm 2: fe_add(>t4=tmp0,<BB=tmp0,<t3=z3); */ FieldOperations.fe_add(out tmp0, ref tmp0, ref z3); /* qhasm: Z5 = X1*t2 */ /* asm 1: fe_mul(>Z5=fe#4,x1,<t2=fe#2); */ /* asm 2: fe_mul(>Z5=z3,x1,<t2=z2); */ FieldOperations.fe_mul(out z3, ref x1, ref z2); /* qhasm: Z4 = E*t4 */ /* asm 1: fe_mul(>Z4=fe#2,<E=fe#6,<t4=fe#5); */ /* asm 2: fe_mul(>Z4=z2,<E=tmp1,<t4=tmp0); */ FieldOperations.fe_mul(out z2, ref tmp1, ref tmp0); /* qhasm: return */ } FieldOperations.fe_cswap(ref x2, ref x3, swap); FieldOperations.fe_cswap(ref z2, ref z3, swap); FieldOperations.fe_invert(out z2, ref z2); FieldOperations.fe_mul(out x2, ref x2, ref z2); q = x2; CryptoBytes.Wipe(e); }