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# Which byte of the state was XOR'ed with the input character? pos = idx & 0xF # same as i % 16 in the original code # The XOR operation was: state[pos] ^= input_char # So input_char = state_before[pos] ^ state_after[pos] # At this point `st_bytes` already *is* the state *after* the XOR, # because we just reversed the rotation but not the XOR. # We need the state *before* the XOR. The only difference is the xor # with the unknown byte, so we can retrieve it by assuming the # initial state was the constant 0x13 repeated. # However we can compute it directly: # Let s_before = state_before_xor[pos] # Let s_after = st_bytes[pos] # input_char = s_before ^ s_after # s_before = s_before (unknown) # But we also know that after processing all previous bytes, # the state at position `pos` is exactly the value we see now, # because the XOR for this round is the *last* change to that byte. # Hence `s_before` is simply the value that `st_bytes[pos]` would have # *before* we apply the XOR, i.e. the same byte in the previous # iteration. That previous value is stored in the same location of # the state *after* we undo the rotation for the previous step. # To avoid a complicated dependency chain we simply keep a copy of # the state *before* we apply the XOR for the current round. # # The easiest way: simulate the forward algorithm on the partially # recovered prefix, then compare. Because the algorithm is linear, # we can recover the character directly by: # input_char = st_bytes[pos] ^ 0x13 (the constant initial value) # BUT only for the first time we touch that position. # For later touches we need the value from the *previous* round. # # The cleanest approach is to keep a running copy of the state as we # unwind the loop. We'll maintain `state_before` as we go. # # To achieve this we keep a second variable `prev_state` that holds # the state *before* the current XOR. At the start of the reverse loop # `prev_state` is simply the state we have after undoing the rotation. # The input byte is then: input_char = st_bytes[pos] ^ 0x13 # placeholder – will be corrected later

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for (size_t i = 0; i < strlen(in); ++i) uint8_t c = in[i]; size_t idx = i & 0xF; // i % 16 state[idx] ^= c; // rotate left the whole 128‑bit state by 3 bits uint128_t tmp = *((uint128_t*)state); tmp = (tmp << 3)