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#include <stdint.h>
#include <string.h>

#include "parameters.h"
#include "tweakey.h"


#define LANE_BITS  64
#define LANE_BYTES (LANE_BITS/8)
#define LANES_NB   (TWEAKEY_BYTES/LANE_BYTES)


void tweakey_state_init(
    uint8_t TK[TWEAKEY_BYTES],
    const uint8_t key[KEY_BYTES],
    const uint8_t tweak[TWEAK_BYTES]
)
{
    memcpy(TK,             tweak, TWEAK_BYTES);
    memcpy(TK+TWEAK_BYTES, key,   KEY_BYTES);
}


void tweakey_state_extract(
    const uint8_t TK[TWEAKEY_BYTES],
    uint8_t round_constant,
    uint8_t round_tweakey[ROUND_TWEAKEY_BYTES]
)
{
    memset(round_tweakey, 0, ROUND_TWEAKEY_BYTES);

    for (size_t j=0; j<LANES_NB; j++)
    {
        const uint8_t *TKj = TK + j*LANE_BYTES;

        for (size_t k=0; k<LANE_BYTES; k++)
        {
            round_tweakey[k] ^= TKj[k];
        }
    }

    round_tweakey[0] ^= round_constant;
}


static void _multiply_M(const uint8_t X[LANE_BYTES], uint8_t Y[LANE_BYTES])
{
    Y[7] = X[6];
    Y[6] = X[5];
    Y[5] = X[4] ^ X[5]<<3;
    Y[4] = X[3] ^ X[4]>>3;
    Y[3] = X[2];
    Y[2] = X[1] ^ X[6]<<2;
    Y[1] = X[0];
    Y[0] = X[7];
}

static const uint8_t M_1[256] = {
    0x00, 0x08, 0x10, 0x18, 0x20, 0x28, 0x30, 0x38,
    0x41, 0x49, 0x51, 0x59, 0x61, 0x69, 0x71, 0x79,
    0x82, 0x8a, 0x92, 0x9a, 0xa2, 0xaa, 0xb2, 0xba,
    0xc3, 0xcb, 0xd3, 0xdb, 0xe3, 0xeb, 0xf3, 0xfb,
    0x04, 0x0c, 0x14, 0x1c, 0x24, 0x2c, 0x34, 0x3c,
    0x45, 0x4d, 0x55, 0x5d, 0x65, 0x6d, 0x75, 0x7d,
    0x86, 0x8e, 0x96, 0x9e, 0xa6, 0xae, 0xb6, 0xbe,
    0xc7, 0xcf, 0xd7, 0xdf, 0xe7, 0xef, 0xf7, 0xff,
    0x08, 0x00, 0x18, 0x10, 0x28, 0x20, 0x38, 0x30,
    0x49, 0x41, 0x59, 0x51, 0x69, 0x61, 0x79, 0x71,
    0x8a, 0x82, 0x9a, 0x92, 0xaa, 0xa2, 0xba, 0xb2,
    0xcb, 0xc3, 0xdb, 0xd3, 0xeb, 0xe3, 0xfb, 0xf3,
    0x0c, 0x04, 0x1c, 0x14, 0x2c, 0x24, 0x3c, 0x34,
    0x4d, 0x45, 0x5d, 0x55, 0x6d, 0x65, 0x7d, 0x75,
    0x8e, 0x86, 0x9e, 0x96, 0xae, 0xa6, 0xbe, 0xb6,
    0xcf, 0xc7, 0xdf, 0xd7, 0xef, 0xe7, 0xff, 0xf7,
    0x10, 0x18, 0x00, 0x08, 0x30, 0x38, 0x20, 0x28,
    0x51, 0x59, 0x41, 0x49, 0x71, 0x79, 0x61, 0x69,
    0x92, 0x9a, 0x82, 0x8a, 0xb2, 0xba, 0xa2, 0xaa,
    0xd3, 0xdb, 0xc3, 0xcb, 0xf3, 0xfb, 0xe3, 0xeb,
    0x14, 0x1c, 0x04, 0x0c, 0x34, 0x3c, 0x24, 0x2c,
    0x55, 0x5d, 0x45, 0x4d, 0x75, 0x7d, 0x65, 0x6d,
    0x96, 0x9e, 0x86, 0x8e, 0xb6, 0xbe, 0xa6, 0xae,
    0xd7, 0xdf, 0xc7, 0xcf, 0xf7, 0xff, 0xe7, 0xef,
    0x18, 0x10, 0x08, 0x00, 0x38, 0x30, 0x28, 0x20,
    0x59, 0x51, 0x49, 0x41, 0x79, 0x71, 0x69, 0x61,
    0x9a, 0x92, 0x8a, 0x82, 0xba, 0xb2, 0xaa, 0xa2,
    0xdb, 0xd3, 0xcb, 0xc3, 0xfb, 0xf3, 0xeb, 0xe3,
    0x1c, 0x14, 0x0c, 0x04, 0x3c, 0x34, 0x2c, 0x24,
    0x5d, 0x55, 0x4d, 0x45, 0x7d, 0x75, 0x6d, 0x65,
    0x9e, 0x96, 0x8e, 0x86, 0xbe, 0xb6, 0xae, 0xa6,
    0xdf, 0xd7, 0xcf, 0xc7, 0xff, 0xf7, 0xef, 0xe7
};

static const uint8_t M_2[256] = {
    0x00, 0x40, 0x80, 0xc0, 0x00, 0x40, 0x80, 0xc0,
    0x08, 0x48, 0x88, 0xc8, 0x08, 0x48, 0x88, 0xc8,
    0x10, 0x50, 0x90, 0xd0, 0x10, 0x50, 0x90, 0xd0,
    0x18, 0x58, 0x98, 0xd8, 0x18, 0x58, 0x98, 0xd8,
    0x20, 0x60, 0xa0, 0xe0, 0x20, 0x60, 0xa0, 0xe0,
    0x28, 0x68, 0xa8, 0xe8, 0x28, 0x68, 0xa8, 0xe8,
    0x30, 0x70, 0xb0, 0xf0, 0x30, 0x70, 0xb0, 0xf0,
    0x38, 0x78, 0xb8, 0xf8, 0x38, 0x78, 0xb8, 0xf8,
    0x41, 0x01, 0xc1, 0x81, 0x41, 0x01, 0xc1, 0x81,
    0x49, 0x09, 0xc9, 0x89, 0x49, 0x09, 0xc9, 0x89,
    0x51, 0x11, 0xd1, 0x91, 0x51, 0x11, 0xd1, 0x91,
    0x59, 0x19, 0xd9, 0x99, 0x59, 0x19, 0xd9, 0x99,
    0x61, 0x21, 0xe1, 0xa1, 0x61, 0x21, 0xe1, 0xa1,
    0x69, 0x29, 0xe9, 0xa9, 0x69, 0x29, 0xe9, 0xa9,
    0x71, 0x31, 0xf1, 0xb1, 0x71, 0x31, 0xf1, 0xb1,
    0x79, 0x39, 0xf9, 0xb9, 0x79, 0x39, 0xf9, 0xb9,
    0x82, 0xc2, 0x02, 0x42, 0x82, 0xc2, 0x02, 0x42,
    0x8a, 0xca, 0x0a, 0x4a, 0x8a, 0xca, 0x0a, 0x4a,
    0x92, 0xd2, 0x12, 0x52, 0x92, 0xd2, 0x12, 0x52,
    0x9a, 0xda, 0x1a, 0x5a, 0x9a, 0xda, 0x1a, 0x5a,
    0xa2, 0xe2, 0x22, 0x62, 0xa2, 0xe2, 0x22, 0x62,
    0xaa, 0xea, 0x2a, 0x6a, 0xaa, 0xea, 0x2a, 0x6a,
    0xb2, 0xf2, 0x32, 0x72, 0xb2, 0xf2, 0x32, 0x72,
    0xba, 0xfa, 0x3a, 0x7a, 0xba, 0xfa, 0x3a, 0x7a,
    0xc3, 0x83, 0x43, 0x03, 0xc3, 0x83, 0x43, 0x03,
    0xcb, 0x8b, 0x4b, 0x0b, 0xcb, 0x8b, 0x4b, 0x0b,
    0xd3, 0x93, 0x53, 0x13, 0xd3, 0x93, 0x53, 0x13,
    0xdb, 0x9b, 0x5b, 0x1b, 0xdb, 0x9b, 0x5b, 0x1b,
    0xe3, 0xa3, 0x63, 0x23, 0xe3, 0xa3, 0x63, 0x23,
    0xeb, 0xab, 0x6b, 0x2b, 0xeb, 0xab, 0x6b, 0x2b,
    0xf3, 0xb3, 0x73, 0x33, 0xf3, 0xb3, 0x73, 0x33,
    0xfb, 0xbb, 0x7b, 0x3b, 0xfb, 0xbb, 0x7b, 0x3b,
};

static void _multiply_M2(const uint8_t X[LANE_BYTES], uint8_t Y[LANE_BYTES])
{
    Y[7] = X[5];
    Y[6] = X[4]    ^ X[5]<<3;
    Y[5] = X[3]    ^ M_1[X[4]] ^ X[5]<<6;
    Y[4] = X[2]    ^ X[3]>>3   ^ X[4]>>6;
    Y[3] = X[6]<<2 ^ X[1];
    Y[2] = X[5]<<2 ^ X[0];
    Y[1] = X[7];
    Y[0] = X[6];
}

static void _multiply_M3(const uint8_t X[LANE_BYTES], uint8_t Y[LANE_BYTES])
{
    Y[7] = X[5]<<3   ^ X[4];
    Y[6] = X[5]<<6   ^ M_1[X[4]] ^ X[3];
    Y[5] = M_2[X[4]] ^ M_1[X[3]] ^ X[2];
    Y[4] = X[6]<<2   ^ X[3]>>6   ^ X[2]>>3 ^ X[1];
    Y[3] = X[5]<<2   ^ X[0];
    Y[2] = X[7]      ^ X[5]<<5   ^ X[4]<<2;
    Y[1] = X[6];
    Y[0] = X[5];
}

static void _multiply_MR(const uint8_t X[LANE_BYTES], uint8_t Y[LANE_BYTES])
{
    Y[0] = X[1];
    Y[1] = X[2];
    Y[2] = X[3] ^ X[4]>>3;
    Y[3] = X[4];
    Y[4] = X[5] ^ X[6]<<3;
    Y[5] = X[6] ^ X[3]<<2;
    Y[6] = X[7];
    Y[7] = X[0];
}

static void _multiply_MR2(const uint8_t X[LANE_BYTES], uint8_t Y[LANE_BYTES])
{
    uint8_t tmp[LANE_BYTES];
    memcpy(tmp, X, LANE_BYTES);

    _multiply_MR(X, tmp);
    _multiply_MR(tmp, Y);
}

static void _multiply_MR3(const uint8_t X[LANE_BYTES], uint8_t Y[LANE_BYTES])
{
    uint8_t tmp[LANE_BYTES];
    memcpy(tmp, X, LANE_BYTES);

    _multiply_MR2(X, tmp);
    _multiply_MR(tmp, Y);
}

typedef void (*matrix_multiplication)(const uint8_t X[LANE_BYTES], uint8_t Y[LANE_BYTES]);

static const matrix_multiplication ALPHAS[6] = {
    _multiply_M,
    _multiply_M2,
    _multiply_M3,
    _multiply_MR,
    _multiply_MR2,
    _multiply_MR3
};


void tweakey_state_update(uint8_t TK[TWEAKEY_BYTES])
{
    /* Skip lane 0, as it is multiplied by the identity matrix. */

    for (size_t j=1; j<LANES_NB; j++)
    {
        uint8_t *TKj = TK + j*LANE_BYTES;

        uint8_t TKj_old[LANE_BYTES];
        memcpy(TKj_old, TKj, LANE_BYTES);

        ALPHAS[j-1](TKj_old, TKj);
    }
}