/*
  This file is for transpose of the Gao-Mateer FFT
  Functions with names ending with _tr are (roughly) the transpose of the corresponding functions in fft.c
*/

#include "fft_tr.h"

#include "transpose.h"

#include <stdint.h>

static void radix_conversions_tr(vec128 in[][ GFBITS ]) {
    int i, j, k;
    vec128 t, x0, x1;

    uint64_t v0, v1, v2, v3;

    const vec128 mask[6][2] = {
        {
            PQCLEAN_MCELIECE8192128_SSE_vec128_set2x(0x2222222222222222, 0x2222222222222222),
            PQCLEAN_MCELIECE8192128_SSE_vec128_set2x(0x4444444444444444, 0x4444444444444444)
        },
        {
            PQCLEAN_MCELIECE8192128_SSE_vec128_set2x(0x0C0C0C0C0C0C0C0C, 0x0C0C0C0C0C0C0C0C),
            PQCLEAN_MCELIECE8192128_SSE_vec128_set2x(0x3030303030303030, 0x3030303030303030)
        },
        {
            PQCLEAN_MCELIECE8192128_SSE_vec128_set2x(0x00F000F000F000F0, 0x00F000F000F000F0),
            PQCLEAN_MCELIECE8192128_SSE_vec128_set2x(0x0F000F000F000F00, 0x0F000F000F000F00)
        },
        {
            PQCLEAN_MCELIECE8192128_SSE_vec128_set2x(0x0000FF000000FF00, 0x0000FF000000FF00),
            PQCLEAN_MCELIECE8192128_SSE_vec128_set2x(0x00FF000000FF0000, 0x00FF000000FF0000)
        },
        {
            PQCLEAN_MCELIECE8192128_SSE_vec128_set2x(0x00000000FFFF0000, 0x00000000FFFF0000),
            PQCLEAN_MCELIECE8192128_SSE_vec128_set2x(0x0000FFFF00000000, 0x0000FFFF00000000)
        },
        {
            PQCLEAN_MCELIECE8192128_SSE_vec128_set2x(0xFFFFFFFF00000000, 0xFFFFFFFF00000000),
            PQCLEAN_MCELIECE8192128_SSE_vec128_set2x(0x00000000FFFFFFFF, 0x00000000FFFFFFFF)
        }
    };

    const vec128 s[6][2][GFBITS] = {
#include "scalars_4x.inc"
    };

    //

    for (j = 6; j >= 0; j--) {
        if (j < 6) {
            PQCLEAN_MCELIECE8192128_SSE_vec128_mul(in[0], in[0], s[j][0]); // scaling
            PQCLEAN_MCELIECE8192128_SSE_vec128_mul(in[1], in[1], s[j][1]); // scaling
        }

        for (k = j; k <= 4; k++) {
            for (i = 0; i < GFBITS; i++) {
                t = PQCLEAN_MCELIECE8192128_SSE_vec128_and(in[0][i], mask[k][0]);
                t = PQCLEAN_MCELIECE8192128_SSE_vec128_sll_2x(t, 1 << k);
                in[0][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(in[0][i], t);

                t = PQCLEAN_MCELIECE8192128_SSE_vec128_and(in[0][i], mask[k][1]);
                t = PQCLEAN_MCELIECE8192128_SSE_vec128_sll_2x(t, 1 << k);
                in[0][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(in[0][i], t);

                t = PQCLEAN_MCELIECE8192128_SSE_vec128_and(in[1][i], mask[k][0]);
                t = PQCLEAN_MCELIECE8192128_SSE_vec128_sll_2x(t, 1 << k);
                in[1][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(in[1][i], t);

                t = PQCLEAN_MCELIECE8192128_SSE_vec128_and(in[1][i], mask[k][1]);
                t = PQCLEAN_MCELIECE8192128_SSE_vec128_sll_2x(t, 1 << k);
                in[1][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(in[1][i], t);
            }
        }

        if (j <= 5) {
            for (i = 0; i < GFBITS; i++) {
                x0 = PQCLEAN_MCELIECE8192128_SSE_vec128_unpack_low(in[0][i], in[1][i]);
                x1 = PQCLEAN_MCELIECE8192128_SSE_vec128_unpack_high(in[0][i], in[1][i]);

                x1 = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(x1, PQCLEAN_MCELIECE8192128_SSE_vec128_srl_2x(x0, 32));
                x1 = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(x1, PQCLEAN_MCELIECE8192128_SSE_vec128_sll_2x(x1, 32));

                in[0][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_unpack_low(x0, x1);
                in[1][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_unpack_high(x0, x1);
            }
        }

        for (i = 0; i < GFBITS; i++) {
            v0 = PQCLEAN_MCELIECE8192128_SSE_vec128_extract(in[0][i], 0);
            v1 = PQCLEAN_MCELIECE8192128_SSE_vec128_extract(in[0][i], 1);
            v2 = PQCLEAN_MCELIECE8192128_SSE_vec128_extract(in[1][i], 0);
            v3 = PQCLEAN_MCELIECE8192128_SSE_vec128_extract(in[1][i], 1);

            v3 ^= v2 ^= v1;

            in[0][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_set2x(v0, v1);
            in[1][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_set2x(v2, v3);
        }

    }
}

static void butterflies_tr(vec128 out[][ GFBITS ], vec128 in[][ GFBITS ]) {
    int i, j, k, s, b;

    vec128 tmp0[ GFBITS ];
    vec128 tmp1[ GFBITS ];
    vec128 tmp[ GFBITS ];

    vec128 pre[ 6  ][ GFBITS ];
    vec128 buf[ 64 ];

    const vec128 consts[ 64 ][ GFBITS ] = {
#include "consts.inc"
    };

    uint64_t consts_ptr = 64;

    const unsigned char reversal[] = {
        0, 32, 16, 48,  8, 40, 24, 56,
        4, 36, 20, 52, 12, 44, 28, 60,
        2, 34, 18, 50, 10, 42, 26, 58,
        6, 38, 22, 54, 14, 46, 30, 62,
        1, 33, 17, 49,  9, 41, 25, 57,
        5, 37, 21, 53, 13, 45, 29, 61,
        3, 35, 19, 51, 11, 43, 27, 59,
        7, 39, 23, 55, 15, 47, 31, 63
    };

    const uint16_t beta[6] = {5246, 5306, 6039, 6685, 4905, 6755};

    //

    for (i = 5; i >= 0; i--) {
        s = 1 << i;
        consts_ptr -= s;

        for (j = 0; j < 64; j += 2 * s) {
            for (k = j; k < j + s; k++) {
                for (b = 0; b < GFBITS; b++) {
                    in[k][b] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(in[k][b], in[k + s][b]);
                }

                PQCLEAN_MCELIECE8192128_SSE_vec128_mul(tmp, in[k], consts[ consts_ptr + (k - j) ]);

                for (b = 0; b < GFBITS; b++) {
                    in[k + s][b] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(in[k + s][b], tmp[b]);
                }
            }
        }
    }

    for (j = 0; j < 64; j += 2) {
        for (i = 0; i < GFBITS; i++) {
            tmp0[i] = PQCLEAN_MCELIECE8192128_SSE_vec128_unpack_low(in[j][i], in[j + 1][i]);
            tmp1[i] = PQCLEAN_MCELIECE8192128_SSE_vec128_unpack_high(in[j][i], in[j + 1][i]);
        }

        for (b = 0; b < GFBITS; b++) {
            tmp0[b] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(tmp0[b], tmp1[b]);
        }

        PQCLEAN_MCELIECE8192128_SSE_vec128_mul(tmp, tmp0, consts[0]);

        for (b = 0; b < GFBITS; b++) {
            tmp1[b] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(tmp1[b], tmp[b]);
        }

        for (i = 0; i < GFBITS; i++) {
            in[j + 0][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_unpack_low(tmp0[i], tmp1[i]);
            in[j + 1][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_unpack_high(tmp0[i], tmp1[i]);
        }
    }

    for (i = 0; i < GFBITS; i++) {
        for (k = 0; k < 64; k++) {
            buf[k] = in[ reversal[k] ][i];
        }

        PQCLEAN_MCELIECE8192128_SSE_transpose_64x128_sp(buf);

        pre[0][i] = buf[32];
        buf[33] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[33], buf[32]);
        pre[1][i] = buf[33];
        buf[35] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[35], buf[33]);
        pre[0][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(pre[0][i], buf[35]);
        buf[34] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[34], buf[35]);
        pre[2][i] = buf[34];
        buf[38] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[38], buf[34]);
        pre[0][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(pre[0][i], buf[38]);
        buf[39] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[39], buf[38]);
        pre[1][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(pre[1][i], buf[39]);
        buf[37] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[37], buf[39]);
        pre[0][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(pre[0][i], buf[37]);
        buf[36] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[36], buf[37]);
        pre[3][i] = buf[36];
        buf[44] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[44], buf[36]);
        pre[0][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(pre[0][i], buf[44]);
        buf[45] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[45], buf[44]);
        pre[1][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(pre[1][i], buf[45]);
        buf[47] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[47], buf[45]);
        pre[0][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(pre[0][i], buf[47]);
        buf[46] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[46], buf[47]);
        pre[2][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(pre[2][i], buf[46]);
        buf[42] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[42], buf[46]);
        pre[0][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(pre[0][i], buf[42]);
        buf[43] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[43], buf[42]);
        pre[1][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(pre[1][i], buf[43]);
        buf[41] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[41], buf[43]);
        pre[0][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(pre[0][i], buf[41]);
        buf[40] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[40], buf[41]);
        pre[4][i] = buf[40];
        buf[56] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[56], buf[40]);
        pre[0][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(pre[0][i], buf[56]);
        buf[57] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[57], buf[56]);
        pre[1][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(pre[1][i], buf[57]);
        buf[59] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[59], buf[57]);
        pre[0][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(pre[0][i], buf[59]);
        buf[58] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[58], buf[59]);
        pre[2][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(pre[2][i], buf[58]);
        buf[62] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[62], buf[58]);
        pre[0][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(pre[0][i], buf[62]);
        buf[63] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[63], buf[62]);
        pre[1][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(pre[1][i], buf[63]);
        buf[61] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[61], buf[63]);
        pre[0][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(pre[0][i], buf[61]);
        buf[60] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[60], buf[61]);
        pre[3][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(pre[3][i], buf[60]);
        buf[52] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[52], buf[60]);
        pre[0][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(pre[0][i], buf[52]);
        buf[53] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[53], buf[52]);
        pre[1][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(pre[1][i], buf[53]);
        buf[55] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[55], buf[53]);
        pre[0][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(pre[0][i], buf[55]);
        buf[54] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[54], buf[55]);
        pre[2][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(pre[2][i], buf[54]);
        buf[50] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[50], buf[54]);
        pre[0][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(pre[0][i], buf[50]);
        buf[51] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[51], buf[50]);
        pre[1][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(pre[1][i], buf[51]);
        buf[49] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[49], buf[51]);
        pre[0][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(pre[0][i], buf[49]);
        buf[48] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[48], buf[49]);
        pre[5][i] = buf[48];
        buf[16] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[16], buf[48]);
        pre[0][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(pre[0][i], buf[16]);
        buf[17] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[17], buf[16]);
        pre[1][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(pre[1][i], buf[17]);
        buf[19] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[19], buf[17]);
        pre[0][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(pre[0][i], buf[19]);
        buf[18] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[18], buf[19]);
        pre[2][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(pre[2][i], buf[18]);
        buf[22] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[22], buf[18]);
        pre[0][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(pre[0][i], buf[22]);
        buf[23] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[23], buf[22]);
        pre[1][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(pre[1][i], buf[23]);
        buf[21] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[21], buf[23]);
        pre[0][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(pre[0][i], buf[21]);
        buf[20] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[20], buf[21]);
        pre[3][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(pre[3][i], buf[20]);
        buf[28] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[28], buf[20]);
        pre[0][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(pre[0][i], buf[28]);
        buf[29] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[29], buf[28]);
        pre[1][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(pre[1][i], buf[29]);
        buf[31] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[31], buf[29]);
        pre[0][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(pre[0][i], buf[31]);
        buf[30] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[30], buf[31]);
        pre[2][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(pre[2][i], buf[30]);
        buf[26] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[26], buf[30]);
        pre[0][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(pre[0][i], buf[26]);
        buf[27] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[27], buf[26]);
        pre[1][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(pre[1][i], buf[27]);
        buf[25] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[25], buf[27]);
        pre[0][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(pre[0][i], buf[25]);
        buf[24] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[24], buf[25]);
        pre[4][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(pre[4][i], buf[24]);
        buf[8] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[8], buf[24]);
        pre[0][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(pre[0][i], buf[8]);
        buf[9] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[9], buf[8]);
        pre[1][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(pre[1][i], buf[9]);
        buf[11] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[11], buf[9]);
        pre[0][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(pre[0][i], buf[11]);
        buf[10] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[10], buf[11]);
        pre[2][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(pre[2][i], buf[10]);
        buf[14] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[14], buf[10]);
        pre[0][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(pre[0][i], buf[14]);
        buf[15] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[15], buf[14]);
        pre[1][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(pre[1][i], buf[15]);
        buf[13] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[13], buf[15]);
        pre[0][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(pre[0][i], buf[13]);
        buf[12] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[12], buf[13]);
        pre[3][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(pre[3][i], buf[12]);
        buf[4] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[4], buf[12]);
        pre[0][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(pre[0][i], buf[4]);
        buf[5] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[5], buf[4]);
        pre[1][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(pre[1][i], buf[5]);
        buf[7] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[7], buf[5]);
        pre[0][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(pre[0][i], buf[7]);
        buf[6] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[6], buf[7]);
        pre[2][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(pre[2][i], buf[6]);
        buf[2] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[2], buf[6]);
        pre[0][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(pre[0][i], buf[2]);
        buf[3] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[3], buf[2]);
        pre[1][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(pre[1][i], buf[3]);
        buf[1] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[1], buf[3]);

        pre[0][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(pre[0][i], buf[1]);
        out[0][i] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(buf[0], buf[1]);

    }

    for (j = 0; j < GFBITS; j++) {
        tmp[j] = PQCLEAN_MCELIECE8192128_SSE_vec128_setbits((beta[0] >> j) & 1);
    }

    PQCLEAN_MCELIECE8192128_SSE_vec128_mul(out[1], pre[0], tmp);

    for (i = 1; i < 6; i++) {
        for (j = 0; j < GFBITS; j++) {
            tmp[j] = PQCLEAN_MCELIECE8192128_SSE_vec128_setbits((beta[i] >> j) & 1);
        }

        PQCLEAN_MCELIECE8192128_SSE_vec128_mul(tmp, pre[i], tmp);

        for (b = 0; b < GFBITS; b++) {
            out[1][b] = PQCLEAN_MCELIECE8192128_SSE_vec128_xor(out[1][b], tmp[b]);
        }
    }
}

void PQCLEAN_MCELIECE8192128_SSE_fft_tr(vec128 out[][GFBITS], vec128 in[][ GFBITS ]) {
    butterflies_tr(out, in);

    radix_conversions_tr(out);
}