diff options
Diffstat (limited to 'src/curve25519-donna-scalarmult-base.h')
-rw-r--r-- | src/curve25519-donna-scalarmult-base.h | 66 |
1 files changed, 66 insertions, 0 deletions
diff --git a/src/curve25519-donna-scalarmult-base.h b/src/curve25519-donna-scalarmult-base.h new file mode 100644 index 0000000..061759f --- /dev/null +++ b/src/curve25519-donna-scalarmult-base.h @@ -0,0 +1,66 @@ +/* Calculates nQ where Q is the x-coordinate of a point on the curve + * + * mypublic: the packed little endian x coordinate of the resulting curve point + * n: a little endian, 32-byte number + * basepoint: a packed little endian point of the curve + */ + +static void +curve25519_scalarmult_donna(curve25519_key mypublic, const curve25519_key n, const curve25519_key basepoint) { + bignum25519 nqpqx = {1}, nqpqz = {0}, nqz = {1}, nqx; + bignum25519 q, qx, qpqx, qqx, zzz, zmone; + size_t bit, lastbit; + int32_t i; + + curve25519_expand(q, basepoint); + curve25519_copy(nqx, q); + + /* bit 255 is always 0, and bit 254 is always 1, so skip bit 255 and + start pre-swapped on bit 254 */ + lastbit = 1; + + /* we are doing bits 254..3 in the loop, but are swapping in bits 253..2 */ + for (i = 253; i >= 2; i--) { + curve25519_add(qx, nqx, nqz); + curve25519_sub(nqz, nqx, nqz); + curve25519_add(qpqx, nqpqx, nqpqz); + curve25519_sub(nqpqz, nqpqx, nqpqz); + curve25519_mul(nqpqx, qpqx, nqz); + curve25519_mul(nqpqz, qx, nqpqz); + curve25519_add(qqx, nqpqx, nqpqz); + curve25519_sub(nqpqz, nqpqx, nqpqz); + curve25519_square(nqpqz, nqpqz); + curve25519_square(nqpqx, qqx); + curve25519_mul(nqpqz, nqpqz, q); + curve25519_square(qx, qx); + curve25519_square(nqz, nqz); + curve25519_mul(nqx, qx, nqz); + curve25519_sub(nqz, qx, nqz); + curve25519_scalar_product(zzz, nqz, 121665); + curve25519_add(zzz, zzz, qx); + curve25519_mul(nqz, nqz, zzz); + + bit = (n[i/8] >> (i & 7)) & 1; + curve25519_swap_conditional(nqx, nqpqx, bit ^ lastbit); + curve25519_swap_conditional(nqz, nqpqz, bit ^ lastbit); + lastbit = bit; + } + + /* the final 3 bits are always zero, so we only need to double */ + for (i = 0; i < 3; i++) { + curve25519_add(qx, nqx, nqz); + curve25519_sub(nqz, nqx, nqz); + curve25519_square(qx, qx); + curve25519_square(nqz, nqz); + curve25519_mul(nqx, qx, nqz); + curve25519_sub(nqz, qx, nqz); + curve25519_scalar_product(zzz, nqz, 121665); + curve25519_add(zzz, zzz, qx); + curve25519_mul(nqz, nqz, zzz); + } + + curve25519_recip(zmone, nqz); + curve25519_mul(nqz, nqx, zmone); + curve25519_contract(mypublic, nqz); +} + |