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Diffstat (limited to 'python/lilliput/multiplications.py')
| -rw-r--r-- | python/lilliput/multiplications.py | 186 |
1 files changed, 186 insertions, 0 deletions
diff --git a/python/lilliput/multiplications.py b/python/lilliput/multiplications.py new file mode 100644 index 0000000..c5f1e44 --- /dev/null +++ b/python/lilliput/multiplications.py @@ -0,0 +1,186 @@ + +# Multiply by matrix M +def _multiplyM(lane): + multiplied_lane = [lane[(byte-1) % 8] for byte in range(0, 8)] + + multiplied_lane[2] ^= ((lane[6] << 2) & 0xff) + multiplied_lane[4] ^= ((lane[4] >> 3) & 0xff) + multiplied_lane[5] ^= ((lane[5] << 3) & 0xff) + + return multiplied_lane + +def _multiplyM2(lane): + multiplied_lane = [lane[(byte-2) % 8] for byte in range(0, 8)] + + multiplied_lane[2] ^= ((lane[5] << 2) & 0xff) + multiplied_lane[3] ^= ((lane[6] << 2) & 0xff) + multiplied_lane[4] ^= ((lane[3] >> 3) & 0xff) ^ ((lane[4] >> 6) & 0xff) + multiplied_lane[5] ^= ((lane[5] << 6) & 0xff) + multiplied_lane[6] ^= ((lane[5] << 3) & 0xff) + + # binary matrix M1 + multi_mat_l4_m1 = 0 + l4 = lane[4] + multi_mat_l4_m1 ^= ((l4 & 0x8) >> 3) + multi_mat_l4_m1 ^= ((l4 & 0x10) >> 3) + multi_mat_l4_m1 ^= ((l4 & 0x20) >> 3) + multi_mat_l4_m1 ^= ((l4 & 0x40) >> 3) ^ ((l4 & 0x1) << 3) + multi_mat_l4_m1 ^= ((l4 & 0x80) >> 3) ^ ((l4 & 0x2) << 3) + multi_mat_l4_m1 ^= ((l4 & 0x04) << 3) + multi_mat_l4_m1 ^= ((l4 & 0x08) << 3) + multi_mat_l4_m1 ^= ((l4 & 0x10) << 3) + + multiplied_lane[5] ^= multi_mat_l4_m1 + + return multiplied_lane + + +def _multiplyM3(lane): + multiplied_lane = [lane[(byte-3) % 8] for byte in range(0, 8)] + + multiplied_lane[2] ^= ((lane[4] << 2) & 0xff) ^ ((lane[5] << 5) & 0xff) + multiplied_lane[3] ^= ((lane[5] << 2) & 0xff) + multiplied_lane[4] ^= ((lane[2] >> 3) & 0xff) ^ ((lane[3] >> 6) & 0xff) ^ ((lane[6] << 2) & 0xff) + multiplied_lane[6] ^= ((lane[5] << 6) & 0xff) + multiplied_lane[7] ^= ((lane[5] << 3) & 0xff) + + # binary matrix M1 + multi_mat_l3_m1 = 0 + l3 = lane[3] + multi_mat_l3_m1 ^= ((l3 & 0x8) >> 3) + multi_mat_l3_m1 ^= ((l3 & 0x10) >> 3) + multi_mat_l3_m1 ^= ((l3 & 0x20) >> 3) + multi_mat_l3_m1 ^= ((l3 & 0x40) >> 3) ^ ((l3 & 0x1) << 3) + multi_mat_l3_m1 ^= ((l3 & 0x80) >> 3) ^ ((l3 & 0x2) << 3) + multi_mat_l3_m1 ^= ((l3 & 0x04) << 3) + multi_mat_l3_m1 ^= ((l3 & 0x08) << 3) + multi_mat_l3_m1 ^= ((l3 & 0x10) << 3) + + # binary matrix M1 + multi_mat_l4_m1 = 0 + l4 = lane[4] + multi_mat_l4_m1 ^= ((l4 & 0x8) >> 3) + multi_mat_l4_m1 ^= ((l4 & 0x10) >> 3) + multi_mat_l4_m1 ^= ((l4 & 0x20) >> 3) + multi_mat_l4_m1 ^= ((l4 & 0x40) >> 3) ^ ((l4 & 0x1) << 3) + multi_mat_l4_m1 ^= ((l4 & 0x80) >> 3) ^ ((l4 & 0x2) << 3) + multi_mat_l4_m1 ^= ((l4 & 0x04) << 3) + multi_mat_l4_m1 ^= ((l4 & 0x08) << 3) + multi_mat_l4_m1 ^= ((l4 & 0x10) << 3) + + # binary matrix M2 + multi_mat_l4_m2 = 0 + l4 = lane[4] + multi_mat_l4_m2 ^= ((l4 & 0x40) >> 6) + multi_mat_l4_m2 ^= ((l4 & 0x80) >> 6) + multi_mat_l4_m2 ^= (l4 & 0x08) + multi_mat_l4_m2 ^= (l4 & 0x10) + multi_mat_l4_m2 ^= (l4 & 0x20) + multi_mat_l4_m2 ^= (l4 & 0x40) ^ ((l4 & 0x1) << 6) + multi_mat_l4_m2 ^= (l4 & 0x80) ^ ((l4 & 0x2) << 6) + + + multiplied_lane[5] ^= multi_mat_l3_m1 ^ multi_mat_l4_m2 + multiplied_lane[6] ^= multi_mat_l4_m1 + + return multiplied_lane + + +def _multiplyMR(lane): + multiplied_lane = [lane[(byte+1) % 8] for byte in range(0, 8)] + + multiplied_lane[2] ^= ((lane[4] >> 3) & 0xff) + multiplied_lane[4] ^= ((lane[6] << 3) & 0xff) + multiplied_lane[5] ^= ((lane[3] << 2) & 0xff) + + return multiplied_lane + + +def _multiplyMR2(lane): + multiplied_lane = [lane[(byte+2) % 8] for byte in range(0, 8)] + + multiplied_lane[1] ^= ((lane[4] >> 3) & 0xff) + multiplied_lane[2] ^= ((lane[5] >> 3) & 0xff) + multiplied_lane[3] ^= ((lane[6] << 3) & 0xff) + multiplied_lane[4] ^= ((lane[3] << 2) & 0xff) ^ ((lane[7] << 3) & 0xff) + multiplied_lane[5] ^= ((lane[4] << 2) & 0xff) + + + # binary matrix m3 + multi_mat_l6_m3 = 0 + l6 = lane[6] + multi_mat_l6_m3 ^= (l6 & 0x1) + multi_mat_l6_m3 ^= (l6 & 0x2) + multi_mat_l6_m3 ^= (l6 & 0x4) + multi_mat_l6_m3 ^= (l6 & 0x8) + multi_mat_l6_m3 ^= (l6 & 0x10) + + + multiplied_lane[2] ^= multi_mat_l6_m3 + + return multiplied_lane + +def _multiplyMR3(lane): + multiplied_lane = [lane[(byte+3) % 8] for byte in range(0, 8)] + + multiplied_lane[0] ^= ((lane[4] >> 3) & 0xff) + multiplied_lane[1] ^= ((lane[5] >> 3) & 0xff) + multiplied_lane[3] ^= ((lane[3] << 2) & 0xff) ^ ((lane[7] << 3) & 0xff) + multiplied_lane[4] ^= ((lane[0] << 3) & 0xff) ^ ((lane[4] << 2) & 0xff) + multiplied_lane[5] ^= ((lane[5] << 2) & 0xff) ^ ((lane[6] << 5) & 0xff) + + # binary matrix m3 + multi_mat_l6_m3 = 0 + l6 = lane[6] + multi_mat_l6_m3 ^= (l6 & 0x1) + multi_mat_l6_m3 ^= (l6 & 0x2) + multi_mat_l6_m3 ^= (l6 & 0x4) + multi_mat_l6_m3 ^= (l6 & 0x8) + multi_mat_l6_m3 ^= (l6 & 0x10) + + # binary matrix m3 + multi_mat_l7_m3 = 0 + l7 = lane[7] + multi_mat_l7_m3 ^= (l7 & 0x1) + multi_mat_l7_m3 ^= (l7 & 0x2) + multi_mat_l7_m3 ^= (l7 & 0x4) + multi_mat_l7_m3 ^= (l7 & 0x8) + multi_mat_l7_m3 ^= (l7 & 0x10) + + # binary matrix m4 + multi_mat_l3_m4 = 0 + l3 = lane[3] + multi_mat_l3_m4 ^= ((l3 & 0x2) >> 1) + multi_mat_l3_m4 ^= ((l3 & 0x4) >> 1) + multi_mat_l3_m4 ^= ((l3 & 0x8) >> 1) + multi_mat_l3_m4 ^= ((l3 & 0x10) >> 1) + multi_mat_l3_m4 ^= ((l3 & 0x20) >> 1) + + # binary matrix m1 for MR + multi_mat_l6_m1 = 0 + l6 = lane[6] + multi_mat_l6_m1 ^= ((l6 & 0x8) >> 3) + multi_mat_l6_m1 ^= ((l6 & 0x10) >> 3) + multi_mat_l6_m1 ^= ((l6 & 0x20) >> 3) + multi_mat_l6_m1 ^= ((l6 & 0x40) >> 3) ^ ((l6 & 0x1) << 3) + multi_mat_l6_m1 ^= ((l6 & 0x80) >> 3) ^ ((l6 & 0x2) << 3) + multi_mat_l6_m1 ^= ((l6 & 0x4) << 3) + multi_mat_l6_m1 ^= ((l6 & 0x8) << 3) + multi_mat_l6_m1 ^= ((l6 & 0x10) << 3) + + + multiplied_lane[1] ^= multi_mat_l6_m3 + multiplied_lane[2] ^= multi_mat_l3_m4 ^ multi_mat_l6_m1 ^ multi_mat_l7_m3 + + return multiplied_lane + + +ALPHAS = ( + list, # Identity. + _multiplyM, + _multiplyM2, + _multiplyM3, + _multiplyMR, + _multiplyMR2, + _multiplyMR3 +) |