xmr-btc-swap/monero-adaptor/depend/hash/crypto-ops.c

// Copyright (c) 2014-2020, The Monero Project
// 
// All rights reserved.
// 
// Redistribution and use in source and binary forms, with or without modification, are
// permitted provided that the following conditions are met:
// 
// 1. Redistributions of source code must retain the above copyright notice, this list of
//    conditions and the following disclaimer.
// 
// 2. Redistributions in binary form must reproduce the above copyright notice, this list
//    of conditions and the following disclaimer in the documentation and/or other
//    materials provided with the distribution.
// 
// 3. Neither the name of the copyright holder nor the names of its contributors may be
//    used to endorse or promote products derived from this software without specific
//    prior written permission.
// 
// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY
// EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
// MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL
// THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
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// Parts of this file are originally copyright (c) 2012-2013 The Cryptonote developers

#include <assert.h>
#include <stdint.h>

#include "include/warnings.h"
#include "include/crypto-ops.h"

DISABLE_VS_WARNINGS(4146 4244)

/* Predeclarations */

static void fe_mul(fe, const fe, const fe);
static void fe_sq(fe, const fe);
static void ge_madd(ge_p1p1 *, const ge_p3 *, const ge_precomp *);
static void ge_msub(ge_p1p1 *, const ge_p3 *, const ge_precomp *);
static void ge_p2_0(ge_p2 *);
static void ge_p3_dbl(ge_p1p1 *, const ge_p3 *);
static void fe_divpowm1(fe, const fe, const fe);

/* Common functions */

uint64_t load_3(const unsigned char *in) {
    uint64_t result;
    result = (uint64_t) in[0];
    result |= ((uint64_t) in[1]) << 8;
    result |= ((uint64_t) in[2]) << 16;
    return result;
}

uint64_t load_4(const unsigned char *in)
{
    uint64_t result;
    result = (uint64_t) in[0];
    result |= ((uint64_t) in[1]) << 8;
    result |= ((uint64_t) in[2]) << 16;
    result |= ((uint64_t) in[3]) << 24;
    return result;
}

/* From fe_0.c */

/*
h = 0
*/

static void fe_0(fe h) {
    h[0] = 0;
    h[1] = 0;
    h[2] = 0;
    h[3] = 0;
    h[4] = 0;
    h[5] = 0;
    h[6] = 0;
    h[7] = 0;
    h[8] = 0;
    h[9] = 0;
}

/* From fe_1.c */

/*
h = 1
*/

static void fe_1(fe h) {
    h[0] = 1;
    h[1] = 0;
    h[2] = 0;
    h[3] = 0;
    h[4] = 0;
    h[5] = 0;
    h[6] = 0;
    h[7] = 0;
    h[8] = 0;
    h[9] = 0;
}

/* From fe_add.c */

/*
h = f + g
Can overlap h with f or g.

Preconditions:
   |f| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc.
   |g| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc.

Postconditions:
   |h| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc.
*/

void fe_add(fe h, const fe f, const fe g) {
    int32_t f0 = f[0];
    int32_t f1 = f[1];
    int32_t f2 = f[2];
    int32_t f3 = f[3];
    int32_t f4 = f[4];
    int32_t f5 = f[5];
    int32_t f6 = f[6];
    int32_t f7 = f[7];
    int32_t f8 = f[8];
    int32_t f9 = f[9];
    int32_t g0 = g[0];
    int32_t g1 = g[1];
    int32_t g2 = g[2];
    int32_t g3 = g[3];
    int32_t g4 = g[4];
    int32_t g5 = g[5];
    int32_t g6 = g[6];
    int32_t g7 = g[7];
    int32_t g8 = g[8];
    int32_t g9 = g[9];
    int32_t h0 = f0 + g0;
    int32_t h1 = f1 + g1;
    int32_t h2 = f2 + g2;
    int32_t h3 = f3 + g3;
    int32_t h4 = f4 + g4;
    int32_t h5 = f5 + g5;
    int32_t h6 = f6 + g6;
    int32_t h7 = f7 + g7;
    int32_t h8 = f8 + g8;
    int32_t h9 = f9 + g9;
    h[0] = h0;
    h[1] = h1;
    h[2] = h2;
    h[3] = h3;
    h[4] = h4;
    h[5] = h5;
    h[6] = h6;
    h[7] = h7;
    h[8] = h8;
    h[9] = h9;
}

/* From fe_cmov.c */

/*
Replace (f,g) with (g,g) if b == 1;
replace (f,g) with (f,g) if b == 0.

Preconditions: b in {0,1}.
*/

static void fe_cmov(fe f, const fe g, unsigned int b) {
    int32_t f0 = f[0];
    int32_t f1 = f[1];
    int32_t f2 = f[2];
    int32_t f3 = f[3];
    int32_t f4 = f[4];
    int32_t f5 = f[5];
    int32_t f6 = f[6];
    int32_t f7 = f[7];
    int32_t f8 = f[8];
    int32_t f9 = f[9];
    int32_t g0 = g[0];
    int32_t g1 = g[1];
    int32_t g2 = g[2];
    int32_t g3 = g[3];
    int32_t g4 = g[4];
    int32_t g5 = g[5];
    int32_t g6 = g[6];
    int32_t g7 = g[7];
    int32_t g8 = g[8];
    int32_t g9 = g[9];
    int32_t x0 = f0 ^ g0;
    int32_t x1 = f1 ^ g1;
    int32_t x2 = f2 ^ g2;
    int32_t x3 = f3 ^ g3;
    int32_t x4 = f4 ^ g4;
    int32_t x5 = f5 ^ g5;
    int32_t x6 = f6 ^ g6;
    int32_t x7 = f7 ^ g7;
    int32_t x8 = f8 ^ g8;
    int32_t x9 = f9 ^ g9;
    assert((((b - 1) & ~b) | ((b - 2) & ~(b - 1))) == (unsigned int) -1);
    b = -b;
    x0 &= b;
    x1 &= b;
    x2 &= b;
    x3 &= b;
    x4 &= b;
    x5 &= b;
    x6 &= b;
    x7 &= b;
    x8 &= b;
    x9 &= b;
    f[0] = f0 ^ x0;
    f[1] = f1 ^ x1;
    f[2] = f2 ^ x2;
    f[3] = f3 ^ x3;
    f[4] = f4 ^ x4;
    f[5] = f5 ^ x5;
    f[6] = f6 ^ x6;
    f[7] = f7 ^ x7;
    f[8] = f8 ^ x8;
    f[9] = f9 ^ x9;
}

/* From fe_copy.c */

/*
h = f
*/

static void fe_copy(fe h, const fe f) {
    int32_t f0 = f[0];
    int32_t f1 = f[1];
    int32_t f2 = f[2];
    int32_t f3 = f[3];
    int32_t f4 = f[4];
    int32_t f5 = f[5];
    int32_t f6 = f[6];
    int32_t f7 = f[7];
    int32_t f8 = f[8];
    int32_t f9 = f[9];
    h[0] = f0;
    h[1] = f1;
    h[2] = f2;
    h[3] = f3;
    h[4] = f4;
    h[5] = f5;
    h[6] = f6;
    h[7] = f7;
    h[8] = f8;
    h[9] = f9;
}

/* From fe_invert.c */

void fe_invert(fe out, const fe z) {
    fe t0;
    fe t1;
    fe t2;
    fe t3;
    int i;

    fe_sq(t0, z);
    fe_sq(t1, t0);
    fe_sq(t1, t1);
    fe_mul(t1, z, t1);
    fe_mul(t0, t0, t1);
    fe_sq(t2, t0);
    fe_mul(t1, t1, t2);
    fe_sq(t2, t1);
    for (i = 0; i < 4; ++i) {
        fe_sq(t2, t2);
    }
    fe_mul(t1, t2, t1);
    fe_sq(t2, t1);
    for (i = 0; i < 9; ++i) {
        fe_sq(t2, t2);
    }
    fe_mul(t2, t2, t1);
    fe_sq(t3, t2);
    for (i = 0; i < 19; ++i) {
        fe_sq(t3, t3);
    }
    fe_mul(t2, t3, t2);
    fe_sq(t2, t2);
    for (i = 0; i < 9; ++i) {
        fe_sq(t2, t2);
    }
    fe_mul(t1, t2, t1);
    fe_sq(t2, t1);
    for (i = 0; i < 49; ++i) {
        fe_sq(t2, t2);
    }
    fe_mul(t2, t2, t1);
    fe_sq(t3, t2);
    for (i = 0; i < 99; ++i) {
        fe_sq(t3, t3);
    }
    fe_mul(t2, t3, t2);
    fe_sq(t2, t2);
    for (i = 0; i < 49; ++i) {
        fe_sq(t2, t2);
    }
    fe_mul(t1, t2, t1);
    fe_sq(t1, t1);
    for (i = 0; i < 4; ++i) {
        fe_sq(t1, t1);
    }
    fe_mul(out, t1, t0);

    return;
}

/* From fe_isnegative.c */

/*
return 1 if f is in {1,3,5,...,q-2}
return 0 if f is in {0,2,4,...,q-1}

Preconditions:
   |f| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc.
*/

static int fe_isnegative(const fe f) {
    unsigned char s[32];
    fe_tobytes(s, f);
    return s[0] & 1;
}

/* From fe_isnonzero.c, modified */

static int fe_isnonzero(const fe f) {
    unsigned char s[32];
    fe_tobytes(s, f);
    return (((int) (s[0] | s[1] | s[2] | s[3] | s[4] | s[5] | s[6] | s[7] | s[8] |
                    s[9] | s[10] | s[11] | s[12] | s[13] | s[14] | s[15] | s[16] | s[17] |
                    s[18] | s[19] | s[20] | s[21] | s[22] | s[23] | s[24] | s[25] | s[26] |
                    s[27] | s[28] | s[29] | s[30] | s[31]) - 1) >> 8) + 1;
}

/* From fe_mul.c */

/*
h = f * g
Can overlap h with f or g.

Preconditions:
   |f| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc.
   |g| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc.

Postconditions:
   |h| bounded by 1.01*2^25,1.01*2^24,1.01*2^25,1.01*2^24,etc.
*/

/*
Notes on implementation strategy:

Using schoolbook multiplication.
Karatsuba would save a little in some cost models.

Most multiplications by 2 and 19 are 32-bit precomputations;
cheaper than 64-bit postcomputations.

There is one remaining multiplication by 19 in the carry chain;
one *19 precomputation can be merged into this,
but the resulting data flow is considerably less clean.

There are 12 carries below.
10 of them are 2-way parallelizable and vectorizable.
Can get away with 11 carries, but then data flow is much deeper.

With tighter constraints on inputs can squeeze carries into int32.
*/

static void fe_mul(fe h, const fe f, const fe g) {
    int32_t f0 = f[0];
    int32_t f1 = f[1];
    int32_t f2 = f[2];
    int32_t f3 = f[3];
    int32_t f4 = f[4];
    int32_t f5 = f[5];
    int32_t f6 = f[6];
    int32_t f7 = f[7];
    int32_t f8 = f[8];
    int32_t f9 = f[9];
    int32_t g0 = g[0];
    int32_t g1 = g[1];
    int32_t g2 = g[2];
    int32_t g3 = g[3];
    int32_t g4 = g[4];
    int32_t g5 = g[5];
    int32_t g6 = g[6];
    int32_t g7 = g[7];
    int32_t g8 = g[8];
    int32_t g9 = g[9];
    int32_t g1_19 = 19 * g1; /* 1.959375*2^29 */
    int32_t g2_19 = 19 * g2; /* 1.959375*2^30; still ok */
    int32_t g3_19 = 19 * g3;
    int32_t g4_19 = 19 * g4;
    int32_t g5_19 = 19 * g5;
    int32_t g6_19 = 19 * g6;
    int32_t g7_19 = 19 * g7;
    int32_t g8_19 = 19 * g8;
    int32_t g9_19 = 19 * g9;
    int32_t f1_2 = 2 * f1;
    int32_t f3_2 = 2 * f3;
    int32_t f5_2 = 2 * f5;
    int32_t f7_2 = 2 * f7;
    int32_t f9_2 = 2 * f9;
    int64_t f0g0    = f0   * (int64_t) g0;
    int64_t f0g1    = f0   * (int64_t) g1;
    int64_t f0g2    = f0   * (int64_t) g2;
    int64_t f0g3    = f0   * (int64_t) g3;
    int64_t f0g4    = f0   * (int64_t) g4;
    int64_t f0g5    = f0   * (int64_t) g5;
    int64_t f0g6    = f0   * (int64_t) g6;
    int64_t f0g7    = f0   * (int64_t) g7;
    int64_t f0g8    = f0   * (int64_t) g8;
    int64_t f0g9    = f0   * (int64_t) g9;
    int64_t f1g0    = f1   * (int64_t) g0;
    int64_t f1g1_2  = f1_2 * (int64_t) g1;
    int64_t f1g2    = f1   * (int64_t) g2;
    int64_t f1g3_2  = f1_2 * (int64_t) g3;
    int64_t f1g4    = f1   * (int64_t) g4;
    int64_t f1g5_2  = f1_2 * (int64_t) g5;
    int64_t f1g6    = f1   * (int64_t) g6;
    int64_t f1g7_2  = f1_2 * (int64_t) g7;
    int64_t f1g8    = f1   * (int64_t) g8;
    int64_t f1g9_38 = f1_2 * (int64_t) g9_19;
    int64_t f2g0    = f2   * (int64_t) g0;
    int64_t f2g1    = f2   * (int64_t) g1;
    int64_t f2g2    = f2   * (int64_t) g2;
    int64_t f2g3    = f2   * (int64_t) g3;
    int64_t f2g4    = f2   * (int64_t) g4;
    int64_t f2g5    = f2   * (int64_t) g5;
    int64_t f2g6    = f2   * (int64_t) g6;
    int64_t f2g7    = f2   * (int64_t) g7;
    int64_t f2g8_19 = f2   * (int64_t) g8_19;
    int64_t f2g9_19 = f2   * (int64_t) g9_19;
    int64_t f3g0    = f3   * (int64_t) g0;
    int64_t f3g1_2  = f3_2 * (int64_t) g1;
    int64_t f3g2    = f3   * (int64_t) g2;
    int64_t f3g3_2  = f3_2 * (int64_t) g3;
    int64_t f3g4    = f3   * (int64_t) g4;
    int64_t f3g5_2  = f3_2 * (int64_t) g5;
    int64_t f3g6    = f3   * (int64_t) g6;
    int64_t f3g7_38 = f3_2 * (int64_t) g7_19;
    int64_t f3g8_19 = f3   * (int64_t) g8_19;
    int64_t f3g9_38 = f3_2 * (int64_t) g9_19;
    int64_t f4g0    = f4   * (int64_t) g0;
    int64_t f4g1    = f4   * (int64_t) g1;
    int64_t f4g2    = f4   * (int64_t) g2;
    int64_t f4g3    = f4   * (int64_t) g3;
    int64_t f4g4    = f4   * (int64_t) g4;
    int64_t f4g5    = f4   * (int64_t) g5;
    int64_t f4g6_19 = f4   * (int64_t) g6_19;
    int64_t f4g7_19 = f4   * (int64_t) g7_19;
    int64_t f4g8_19 = f4   * (int64_t) g8_19;
    int64_t f4g9_19 = f4   * (int64_t) g9_19;
    int64_t f5g0    = f5   * (int64_t) g0;
    int64_t f5g1_2  = f5_2 * (int64_t) g1;
    int64_t f5g2    = f5   * (int64_t) g2;
    int64_t f5g3_2  = f5_2 * (int64_t) g3;
    int64_t f5g4    = f5   * (int64_t) g4;
    int64_t f5g5_38 = f5_2 * (int64_t) g5_19;
    int64_t f5g6_19 = f5   * (int64_t) g6_19;
    int64_t f5g7_38 = f5_2 * (int64_t) g7_19;
    int64_t f5g8_19 = f5   * (int64_t) g8_19;
    int64_t f5g9_38 = f5_2 * (int64_t) g9_19;
    int64_t f6g0    = f6   * (int64_t) g0;
    int64_t f6g1    = f6   * (int64_t) g1;
    int64_t f6g2    = f6   * (int64_t) g2;
    int64_t f6g3    = f6   * (int64_t) g3;
    int64_t f6g4_19 = f6   * (int64_t) g4_19;
    int64_t f6g5_19 = f6   * (int64_t) g5_19;
    int64_t f6g6_19 = f6   * (int64_t) g6_19;
    int64_t f6g7_19 = f6   * (int64_t) g7_19;
    int64_t f6g8_19 = f6   * (int64_t) g8_19;
    int64_t f6g9_19 = f6   * (int64_t) g9_19;
    int64_t f7g0    = f7   * (int64_t) g0;
    int64_t f7g1_2  = f7_2 * (int64_t) g1;
    int64_t f7g2    = f7   * (int64_t) g2;
    int64_t f7g3_38 = f7_2 * (int64_t) g3_19;
    int64_t f7g4_19 = f7   * (int64_t) g4_19;
    int64_t f7g5_38 = f7_2 * (int64_t) g5_19;
    int64_t f7g6_19 = f7   * (int64_t) g6_19;
    int64_t f7g7_38 = f7_2 * (int64_t) g7_19;
    int64_t f7g8_19 = f7   * (int64_t) g8_19;
    int64_t f7g9_38 = f7_2 * (int64_t) g9_19;
    int64_t f8g0    = f8   * (int64_t) g0;
    int64_t f8g1    = f8   * (int64_t) g1;
    int64_t f8g2_19 = f8   * (int64_t) g2_19;
    int64_t f8g3_19 = f8   * (int64_t) g3_19;
    int64_t f8g4_19 = f8   * (int64_t) g4_19;
    int64_t f8g5_19 = f8   * (int64_t) g5_19;
    int64_t f8g6_19 = f8   * (int64_t) g6_19;
    int64_t f8g7_19 = f8   * (int64_t) g7_19;
    int64_t f8g8_19 = f8   * (int64_t) g8_19;
    int64_t f8g9_19 = f8   * (int64_t) g9_19;
    int64_t f9g0    = f9   * (int64_t) g0;
    int64_t f9g1_38 = f9_2 * (int64_t) g1_19;
    int64_t f9g2_19 = f9   * (int64_t) g2_19;
    int64_t f9g3_38 = f9_2 * (int64_t) g3_19;
    int64_t f9g4_19 = f9   * (int64_t) g4_19;
    int64_t f9g5_38 = f9_2 * (int64_t) g5_19;
    int64_t f9g6_19 = f9   * (int64_t) g6_19;
    int64_t f9g7_38 = f9_2 * (int64_t) g7_19;
    int64_t f9g8_19 = f9   * (int64_t) g8_19;
    int64_t f9g9_38 = f9_2 * (int64_t) g9_19;
    int64_t h0 = f0g0+f1g9_38+f2g8_19+f3g7_38+f4g6_19+f5g5_38+f6g4_19+f7g3_38+f8g2_19+f9g1_38;
    int64_t h1 = f0g1+f1g0   +f2g9_19+f3g8_19+f4g7_19+f5g6_19+f6g5_19+f7g4_19+f8g3_19+f9g2_19;
    int64_t h2 = f0g2+f1g1_2 +f2g0   +f3g9_38+f4g8_19+f5g7_38+f6g6_19+f7g5_38+f8g4_19+f9g3_38;
    int64_t h3 = f0g3+f1g2   +f2g1   +f3g0   +f4g9_19+f5g8_19+f6g7_19+f7g6_19+f8g5_19+f9g4_19;
    int64_t h4 = f0g4+f1g3_2 +f2g2   +f3g1_2 +f4g0   +f5g9_38+f6g8_19+f7g7_38+f8g6_19+f9g5_38;
    int64_t h5 = f0g5+f1g4   +f2g3   +f3g2   +f4g1   +f5g0   +f6g9_19+f7g8_19+f8g7_19+f9g6_19;
    int64_t h6 = f0g6+f1g5_2 +f2g4   +f3g3_2 +f4g2   +f5g1_2 +f6g0   +f7g9_38+f8g8_19+f9g7_38;
    int64_t h7 = f0g7+f1g6   +f2g5   +f3g4   +f4g3   +f5g2   +f6g1   +f7g0   +f8g9_19+f9g8_19;
    int64_t h8 = f0g8+f1g7_2 +f2g6   +f3g5_2 +f4g4   +f5g3_2 +f6g2   +f7g1_2 +f8g0   +f9g9_38;
    int64_t h9 = f0g9+f1g8   +f2g7   +f3g6   +f4g5   +f5g4   +f6g3   +f7g2   +f8g1   +f9g0   ;
    int64_t carry0;
    int64_t carry1;
    int64_t carry2;
    int64_t carry3;
    int64_t carry4;
    int64_t carry5;
    int64_t carry6;
    int64_t carry7;
    int64_t carry8;
    int64_t carry9;

    /*
  |h0| <= (1.65*1.65*2^52*(1+19+19+19+19)+1.65*1.65*2^50*(38+38+38+38+38))
    i.e. |h0| <= 1.4*2^60; narrower ranges for h2, h4, h6, h8
  |h1| <= (1.65*1.65*2^51*(1+1+19+19+19+19+19+19+19+19))
    i.e. |h1| <= 1.7*2^59; narrower ranges for h3, h5, h7, h9
  */

    carry0 = (h0 + (int64_t) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26;
    carry4 = (h4 + (int64_t) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26;
    /* |h0| <= 2^25 */
    /* |h4| <= 2^25 */
    /* |h1| <= 1.71*2^59 */
    /* |h5| <= 1.71*2^59 */

    carry1 = (h1 + (int64_t) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25;
    carry5 = (h5 + (int64_t) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25;
    /* |h1| <= 2^24; from now on fits into int32 */
    /* |h5| <= 2^24; from now on fits into int32 */
    /* |h2| <= 1.41*2^60 */
    /* |h6| <= 1.41*2^60 */

    carry2 = (h2 + (int64_t) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26;
    carry6 = (h6 + (int64_t) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26;
    /* |h2| <= 2^25; from now on fits into int32 unchanged */
    /* |h6| <= 2^25; from now on fits into int32 unchanged */
    /* |h3| <= 1.71*2^59 */
    /* |h7| <= 1.71*2^59 */

    carry3 = (h3 + (int64_t) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25;
    carry7 = (h7 + (int64_t) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25;
    /* |h3| <= 2^24; from now on fits into int32 unchanged */
    /* |h7| <= 2^24; from now on fits into int32 unchanged */
    /* |h4| <= 1.72*2^34 */
    /* |h8| <= 1.41*2^60 */

    carry4 = (h4 + (int64_t) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26;
    carry8 = (h8 + (int64_t) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26;
    /* |h4| <= 2^25; from now on fits into int32 unchanged */
    /* |h8| <= 2^25; from now on fits into int32 unchanged */
    /* |h5| <= 1.01*2^24 */
    /* |h9| <= 1.71*2^59 */

    carry9 = (h9 + (int64_t) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25;
    /* |h9| <= 2^24; from now on fits into int32 unchanged */
    /* |h0| <= 1.1*2^39 */

    carry0 = (h0 + (int64_t) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26;
    /* |h0| <= 2^25; from now on fits into int32 unchanged */
    /* |h1| <= 1.01*2^24 */

    h[0] = h0;
    h[1] = h1;
    h[2] = h2;
    h[3] = h3;
    h[4] = h4;
    h[5] = h5;
    h[6] = h6;
    h[7] = h7;
    h[8] = h8;
    h[9] = h9;
}

/* From fe_neg.c */

/*
h = -f

Preconditions:
   |f| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc.

Postconditions:
   |h| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc.
*/

static void fe_neg(fe h, const fe f) {
    int32_t f0 = f[0];
    int32_t f1 = f[1];
    int32_t f2 = f[2];
    int32_t f3 = f[3];
    int32_t f4 = f[4];
    int32_t f5 = f[5];
    int32_t f6 = f[6];
    int32_t f7 = f[7];
    int32_t f8 = f[8];
    int32_t f9 = f[9];
    int32_t h0 = -f0;
    int32_t h1 = -f1;
    int32_t h2 = -f2;
    int32_t h3 = -f3;
    int32_t h4 = -f4;
    int32_t h5 = -f5;
    int32_t h6 = -f6;
    int32_t h7 = -f7;
    int32_t h8 = -f8;
    int32_t h9 = -f9;
    h[0] = h0;
    h[1] = h1;
    h[2] = h2;
    h[3] = h3;
    h[4] = h4;
    h[5] = h5;
    h[6] = h6;
    h[7] = h7;
    h[8] = h8;
    h[9] = h9;
}

/* From fe_sq.c */

/*
h = f * f
Can overlap h with f.

Preconditions:
   |f| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc.

Postconditions:
   |h| bounded by 1.01*2^25,1.01*2^24,1.01*2^25,1.01*2^24,etc.
*/

/*
See fe_mul.c for discussion of implementation strategy.
*/

static void fe_sq(fe h, const fe f) {
    int32_t f0 = f[0];
    int32_t f1 = f[1];
    int32_t f2 = f[2];
    int32_t f3 = f[3];
    int32_t f4 = f[4];
    int32_t f5 = f[5];
    int32_t f6 = f[6];
    int32_t f7 = f[7];
    int32_t f8 = f[8];
    int32_t f9 = f[9];
    int32_t f0_2 = 2 * f0;
    int32_t f1_2 = 2 * f1;
    int32_t f2_2 = 2 * f2;
    int32_t f3_2 = 2 * f3;
    int32_t f4_2 = 2 * f4;
    int32_t f5_2 = 2 * f5;
    int32_t f6_2 = 2 * f6;
    int32_t f7_2 = 2 * f7;
    int32_t f5_38 = 38 * f5; /* 1.959375*2^30 */
    int32_t f6_19 = 19 * f6; /* 1.959375*2^30 */
    int32_t f7_38 = 38 * f7; /* 1.959375*2^30 */
    int32_t f8_19 = 19 * f8; /* 1.959375*2^30 */
    int32_t f9_38 = 38 * f9; /* 1.959375*2^30 */
    int64_t f0f0    = f0   * (int64_t) f0;
    int64_t f0f1_2  = f0_2 * (int64_t) f1;
    int64_t f0f2_2  = f0_2 * (int64_t) f2;
    int64_t f0f3_2  = f0_2 * (int64_t) f3;
    int64_t f0f4_2  = f0_2 * (int64_t) f4;
    int64_t f0f5_2  = f0_2 * (int64_t) f5;
    int64_t f0f6_2  = f0_2 * (int64_t) f6;
    int64_t f0f7_2  = f0_2 * (int64_t) f7;
    int64_t f0f8_2  = f0_2 * (int64_t) f8;
    int64_t f0f9_2  = f0_2 * (int64_t) f9;
    int64_t f1f1_2  = f1_2 * (int64_t) f1;
    int64_t f1f2_2  = f1_2 * (int64_t) f2;
    int64_t f1f3_4  = f1_2 * (int64_t) f3_2;
    int64_t f1f4_2  = f1_2 * (int64_t) f4;
    int64_t f1f5_4  = f1_2 * (int64_t) f5_2;
    int64_t f1f6_2  = f1_2 * (int64_t) f6;
    int64_t f1f7_4  = f1_2 * (int64_t) f7_2;
    int64_t f1f8_2  = f1_2 * (int64_t) f8;
    int64_t f1f9_76 = f1_2 * (int64_t) f9_38;
    int64_t f2f2    = f2   * (int64_t) f2;
    int64_t f2f3_2  = f2_2 * (int64_t) f3;
    int64_t f2f4_2  = f2_2 * (int64_t) f4;
    int64_t f2f5_2  = f2_2 * (int64_t) f5;
    int64_t f2f6_2  = f2_2 * (int64_t) f6;
    int64_t f2f7_2  = f2_2 * (int64_t) f7;
    int64_t f2f8_38 = f2_2 * (int64_t) f8_19;
    int64_t f2f9_38 = f2   * (int64_t) f9_38;
    int64_t f3f3_2  = f3_2 * (int64_t) f3;
    int64_t f3f4_2  = f3_2 * (int64_t) f4;
    int64_t f3f5_4  = f3_2 * (int64_t) f5_2;
    int64_t f3f6_2  = f3_2 * (int64_t) f6;
    int64_t f3f7_76 = f3_2 * (int64_t) f7_38;
    int64_t f3f8_38 = f3_2 * (int64_t) f8_19;
    int64_t f3f9_76 = f3_2 * (int64_t) f9_38;
    int64_t f4f4    = f4   * (int64_t) f4;
    int64_t f4f5_2  = f4_2 * (int64_t) f5;
    int64_t f4f6_38 = f4_2 * (int64_t) f6_19;
    int64_t f4f7_38 = f4   * (int64_t) f7_38;
    int64_t f4f8_38 = f4_2 * (int64_t) f8_19;
    int64_t f4f9_38 = f4   * (int64_t) f9_38;
    int64_t f5f5_38 = f5   * (int64_t) f5_38;
    int64_t f5f6_38 = f5_2 * (int64_t) f6_19;
    int64_t f5f7_76 = f5_2 * (int64_t) f7_38;
    int64_t f5f8_38 = f5_2 * (int64_t) f8_19;
    int64_t f5f9_76 = f5_2 * (int64_t) f9_38;
    int64_t f6f6_19 = f6   * (int64_t) f6_19;
    int64_t f6f7_38 = f6   * (int64_t) f7_38;
    int64_t f6f8_38 = f6_2 * (int64_t) f8_19;
    int64_t f6f9_38 = f6   * (int64_t) f9_38;
    int64_t f7f7_38 = f7   * (int64_t) f7_38;
    int64_t f7f8_38 = f7_2 * (int64_t) f8_19;
    int64_t f7f9_76 = f7_2 * (int64_t) f9_38;
    int64_t f8f8_19 = f8   * (int64_t) f8_19;
    int64_t f8f9_38 = f8   * (int64_t) f9_38;
    int64_t f9f9_38 = f9   * (int64_t) f9_38;
    int64_t h0 = f0f0  +f1f9_76+f2f8_38+f3f7_76+f4f6_38+f5f5_38;
    int64_t h1 = f0f1_2+f2f9_38+f3f8_38+f4f7_38+f5f6_38;
    int64_t h2 = f0f2_2+f1f1_2 +f3f9_76+f4f8_38+f5f7_76+f6f6_19;
    int64_t h3 = f0f3_2+f1f2_2 +f4f9_38+f5f8_38+f6f7_38;
    int64_t h4 = f0f4_2+f1f3_4 +f2f2   +f5f9_76+f6f8_38+f7f7_38;
    int64_t h5 = f0f5_2+f1f4_2 +f2f3_2 +f6f9_38+f7f8_38;
    int64_t h6 = f0f6_2+f1f5_4 +f2f4_2 +f3f3_2 +f7f9_76+f8f8_19;
    int64_t h7 = f0f7_2+f1f6_2 +f2f5_2 +f3f4_2 +f8f9_38;
    int64_t h8 = f0f8_2+f1f7_4 +f2f6_2 +f3f5_4 +f4f4   +f9f9_38;
    int64_t h9 = f0f9_2+f1f8_2 +f2f7_2 +f3f6_2 +f4f5_2;
    int64_t carry0;
    int64_t carry1;
    int64_t carry2;
    int64_t carry3;
    int64_t carry4;
    int64_t carry5;
    int64_t carry6;
    int64_t carry7;
    int64_t carry8;
    int64_t carry9;

    carry0 = (h0 + (int64_t) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26;
    carry4 = (h4 + (int64_t) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26;

    carry1 = (h1 + (int64_t) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25;
    carry5 = (h5 + (int64_t) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25;

    carry2 = (h2 + (int64_t) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26;
    carry6 = (h6 + (int64_t) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26;

    carry3 = (h3 + (int64_t) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25;
    carry7 = (h7 + (int64_t) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25;

    carry4 = (h4 + (int64_t) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26;
    carry8 = (h8 + (int64_t) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26;

    carry9 = (h9 + (int64_t) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25;

    carry0 = (h0 + (int64_t) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26;

    h[0] = h0;
    h[1] = h1;
    h[2] = h2;
    h[3] = h3;
    h[4] = h4;
    h[5] = h5;
    h[6] = h6;
    h[7] = h7;
    h[8] = h8;
    h[9] = h9;
}

/* From fe_sq2.c */

/*
h = 2 * f * f
Can overlap h with f.

Preconditions:
   |f| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc.

Postconditions:
   |h| bounded by 1.01*2^25,1.01*2^24,1.01*2^25,1.01*2^24,etc.
*/

/*
See fe_mul.c for discussion of implementation strategy.
*/

static void fe_sq2(fe h, const fe f) {
    int32_t f0 = f[0];
    int32_t f1 = f[1];
    int32_t f2 = f[2];
    int32_t f3 = f[3];
    int32_t f4 = f[4];
    int32_t f5 = f[5];
    int32_t f6 = f[6];
    int32_t f7 = f[7];
    int32_t f8 = f[8];
    int32_t f9 = f[9];
    int32_t f0_2 = 2 * f0;
    int32_t f1_2 = 2 * f1;
    int32_t f2_2 = 2 * f2;
    int32_t f3_2 = 2 * f3;
    int32_t f4_2 = 2 * f4;
    int32_t f5_2 = 2 * f5;
    int32_t f6_2 = 2 * f6;
    int32_t f7_2 = 2 * f7;
    int32_t f5_38 = 38 * f5; /* 1.959375*2^30 */
    int32_t f6_19 = 19 * f6; /* 1.959375*2^30 */
    int32_t f7_38 = 38 * f7; /* 1.959375*2^30 */
    int32_t f8_19 = 19 * f8; /* 1.959375*2^30 */
    int32_t f9_38 = 38 * f9; /* 1.959375*2^30 */
    int64_t f0f0    = f0   * (int64_t) f0;
    int64_t f0f1_2  = f0_2 * (int64_t) f1;
    int64_t f0f2_2  = f0_2 * (int64_t) f2;
    int64_t f0f3_2  = f0_2 * (int64_t) f3;
    int64_t f0f4_2  = f0_2 * (int64_t) f4;
    int64_t f0f5_2  = f0_2 * (int64_t) f5;
    int64_t f0f6_2  = f0_2 * (int64_t) f6;
    int64_t f0f7_2  = f0_2 * (int64_t) f7;
    int64_t f0f8_2  = f0_2 * (int64_t) f8;
    int64_t f0f9_2  = f0_2 * (int64_t) f9;
    int64_t f1f1_2  = f1_2 * (int64_t) f1;
    int64_t f1f2_2  = f1_2 * (int64_t) f2;
    int64_t f1f3_4  = f1_2 * (int64_t) f3_2;
    int64_t f1f4_2  = f1_2 * (int64_t) f4;
    int64_t f1f5_4  = f1_2 * (int64_t) f5_2;
    int64_t f1f6_2  = f1_2 * (int64_t) f6;
    int64_t f1f7_4  = f1_2 * (int64_t) f7_2;
    int64_t f1f8_2  = f1_2 * (int64_t) f8;
    int64_t f1f9_76 = f1_2 * (int64_t) f9_38;
    int64_t f2f2    = f2   * (int64_t) f2;
    int64_t f2f3_2  = f2_2 * (int64_t) f3;
    int64_t f2f4_2  = f2_2 * (int64_t) f4;
    int64_t f2f5_2  = f2_2 * (int64_t) f5;
    int64_t f2f6_2  = f2_2 * (int64_t) f6;
    int64_t f2f7_2  = f2_2 * (int64_t) f7;
    int64_t f2f8_38 = f2_2 * (int64_t) f8_19;
    int64_t f2f9_38 = f2   * (int64_t) f9_38;
    int64_t f3f3_2  = f3_2 * (int64_t) f3;
    int64_t f3f4_2  = f3_2 * (int64_t) f4;
    int64_t f3f5_4  = f3_2 * (int64_t) f5_2;
    int64_t f3f6_2  = f3_2 * (int64_t) f6;
    int64_t f3f7_76 = f3_2 * (int64_t) f7_38;
    int64_t f3f8_38 = f3_2 * (int64_t) f8_19;
    int64_t f3f9_76 = f3_2 * (int64_t) f9_38;
    int64_t f4f4    = f4   * (int64_t) f4;
    int64_t f4f5_2  = f4_2 * (int64_t) f5;
    int64_t f4f6_38 = f4_2 * (int64_t) f6_19;
    int64_t f4f7_38 = f4   * (int64_t) f7_38;
    int64_t f4f8_38 = f4_2 * (int64_t) f8_19;
    int64_t f4f9_38 = f4   * (int64_t) f9_38;
    int64_t f5f5_38 = f5   * (int64_t) f5_38;
    int64_t f5f6_38 = f5_2 * (int64_t) f6_19;
    int64_t f5f7_76 = f5_2 * (int64_t) f7_38;
    int64_t f5f8_38 = f5_2 * (int64_t) f8_19;
    int64_t f5f9_76 = f5_2 * (int64_t) f9_38;
    int64_t f6f6_19 = f6   * (int64_t) f6_19;
    int64_t f6f7_38 = f6   * (int64_t) f7_38;
    int64_t f6f8_38 = f6_2 * (int64_t) f8_19;
    int64_t f6f9_38 = f6   * (int64_t) f9_38;
    int64_t f7f7_38 = f7   * (int64_t) f7_38;
    int64_t f7f8_38 = f7_2 * (int64_t) f8_19;
    int64_t f7f9_76 = f7_2 * (int64_t) f9_38;
    int64_t f8f8_19 = f8   * (int64_t) f8_19;
    int64_t f8f9_38 = f8   * (int64_t) f9_38;
    int64_t f9f9_38 = f9   * (int64_t) f9_38;
    int64_t h0 = f0f0  +f1f9_76+f2f8_38+f3f7_76+f4f6_38+f5f5_38;
    int64_t h1 = f0f1_2+f2f9_38+f3f8_38+f4f7_38+f5f6_38;
    int64_t h2 = f0f2_2+f1f1_2 +f3f9_76+f4f8_38+f5f7_76+f6f6_19;
    int64_t h3 = f0f3_2+f1f2_2 +f4f9_38+f5f8_38+f6f7_38;
    int64_t h4 = f0f4_2+f1f3_4 +f2f2   +f5f9_76+f6f8_38+f7f7_38;
    int64_t h5 = f0f5_2+f1f4_2 +f2f3_2 +f6f9_38+f7f8_38;
    int64_t h6 = f0f6_2+f1f5_4 +f2f4_2 +f3f3_2 +f7f9_76+f8f8_19;
    int64_t h7 = f0f7_2+f1f6_2 +f2f5_2 +f3f4_2 +f8f9_38;
    int64_t h8 = f0f8_2+f1f7_4 +f2f6_2 +f3f5_4 +f4f4   +f9f9_38;
    int64_t h9 = f0f9_2+f1f8_2 +f2f7_2 +f3f6_2 +f4f5_2;
    int64_t carry0;
    int64_t carry1;
    int64_t carry2;
    int64_t carry3;
    int64_t carry4;
    int64_t carry5;
    int64_t carry6;
    int64_t carry7;
    int64_t carry8;
    int64_t carry9;

    h0 += h0;
    h1 += h1;
    h2 += h2;
    h3 += h3;
    h4 += h4;
    h5 += h5;
    h6 += h6;
    h7 += h7;
    h8 += h8;
    h9 += h9;

    carry0 = (h0 + (int64_t) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26;
    carry4 = (h4 + (int64_t) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26;

    carry1 = (h1 + (int64_t) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25;
    carry5 = (h5 + (int64_t) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25;

    carry2 = (h2 + (int64_t) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26;
    carry6 = (h6 + (int64_t) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26;

    carry3 = (h3 + (int64_t) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25;
    carry7 = (h7 + (int64_t) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25;

    carry4 = (h4 + (int64_t) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26;
    carry8 = (h8 + (int64_t) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26;

    carry9 = (h9 + (int64_t) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25;

    carry0 = (h0 + (int64_t) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26;

    h[0] = h0;
    h[1] = h1;
    h[2] = h2;
    h[3] = h3;
    h[4] = h4;
    h[5] = h5;
    h[6] = h6;
    h[7] = h7;
    h[8] = h8;
    h[9] = h9;
}

/* From fe_sub.c */

/*
h = f - g
Can overlap h with f or g.

Preconditions:
   |f| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc.
   |g| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc.

Postconditions:
   |h| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc.
*/

static void fe_sub(fe h, const fe f, const fe g) {
    int32_t f0 = f[0];
    int32_t f1 = f[1];
    int32_t f2 = f[2];
    int32_t f3 = f[3];
    int32_t f4 = f[4];
    int32_t f5 = f[5];
    int32_t f6 = f[6];
    int32_t f7 = f[7];
    int32_t f8 = f[8];
    int32_t f9 = f[9];
    int32_t g0 = g[0];
    int32_t g1 = g[1];
    int32_t g2 = g[2];
    int32_t g3 = g[3];
    int32_t g4 = g[4];
    int32_t g5 = g[5];
    int32_t g6 = g[6];
    int32_t g7 = g[7];
    int32_t g8 = g[8];
    int32_t g9 = g[9];
    int32_t h0 = f0 - g0;
    int32_t h1 = f1 - g1;
    int32_t h2 = f2 - g2;
    int32_t h3 = f3 - g3;
    int32_t h4 = f4 - g4;
    int32_t h5 = f5 - g5;
    int32_t h6 = f6 - g6;
    int32_t h7 = f7 - g7;
    int32_t h8 = f8 - g8;
    int32_t h9 = f9 - g9;
    h[0] = h0;
    h[1] = h1;
    h[2] = h2;
    h[3] = h3;
    h[4] = h4;
    h[5] = h5;
    h[6] = h6;
    h[7] = h7;
    h[8] = h8;
    h[9] = h9;
}

/* From fe_tobytes.c */

/*
Preconditions:
  |h| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc.

Write p=2^255-19; q=floor(h/p).
Basic claim: q = floor(2^(-255)(h + 19 2^(-25)h9 + 2^(-1))).

Proof:
  Have |h|<=p so |q|<=1 so |19^2 2^(-255) q|<1/4.
  Also have |h-2^230 h9|<2^231 so |19 2^(-255)(h-2^230 h9)|<1/4.

  Write y=2^(-1)-19^2 2^(-255)q-19 2^(-255)(h-2^230 h9).
  Then 0<y<1.

  Write r=h-pq.
  Have 0<=r<=p-1=2^255-20.
  Thus 0<=r+19(2^-255)r<r+19(2^-255)2^255<=2^255-1.

  Write x=r+19(2^-255)r+y.
  Then 0<x<2^255 so floor(2^(-255)x) = 0 so floor(q+2^(-255)x) = q.

  Have q+2^(-255)x = 2^(-255)(h + 19 2^(-25) h9 + 2^(-1))
  so floor(2^(-255)(h + 19 2^(-25) h9 + 2^(-1))) = q.
*/

void fe_tobytes(unsigned char *s, const fe h) {
    int32_t h0 = h[0];
    int32_t h1 = h[1];
    int32_t h2 = h[2];
    int32_t h3 = h[3];
    int32_t h4 = h[4];
    int32_t h5 = h[5];
    int32_t h6 = h[6];
    int32_t h7 = h[7];
    int32_t h8 = h[8];
    int32_t h9 = h[9];
    int32_t q;
    int32_t carry0;
    int32_t carry1;
    int32_t carry2;
    int32_t carry3;
    int32_t carry4;
    int32_t carry5;
    int32_t carry6;
    int32_t carry7;
    int32_t carry8;
    int32_t carry9;

    q = (19 * h9 + (((int32_t) 1) << 24)) >> 25;
    q = (h0 + q) >> 26;
    q = (h1 + q) >> 25;
    q = (h2 + q) >> 26;
    q = (h3 + q) >> 25;
    q = (h4 + q) >> 26;
    q = (h5 + q) >> 25;
    q = (h6 + q) >> 26;
    q = (h7 + q) >> 25;
    q = (h8 + q) >> 26;
    q = (h9 + q) >> 25;

    /* Goal: Output h-(2^255-19)q, which is between 0 and 2^255-20. */
    h0 += 19 * q;
    /* Goal: Output h-2^255 q, which is between 0 and 2^255-20. */

    carry0 = h0 >> 26; h1 += carry0; h0 -= carry0 << 26;
    carry1 = h1 >> 25; h2 += carry1; h1 -= carry1 << 25;
    carry2 = h2 >> 26; h3 += carry2; h2 -= carry2 << 26;
    carry3 = h3 >> 25; h4 += carry3; h3 -= carry3 << 25;
    carry4 = h4 >> 26; h5 += carry4; h4 -= carry4 << 26;
    carry5 = h5 >> 25; h6 += carry5; h5 -= carry5 << 25;
    carry6 = h6 >> 26; h7 += carry6; h6 -= carry6 << 26;
    carry7 = h7 >> 25; h8 += carry7; h7 -= carry7 << 25;
    carry8 = h8 >> 26; h9 += carry8; h8 -= carry8 << 26;
    carry9 = h9 >> 25;               h9 -= carry9 << 25;
    /* h10 = carry9 */

    /*
  Goal: Output h0+...+2^255 h10-2^255 q, which is between 0 and 2^255-20.
  Have h0+...+2^230 h9 between 0 and 2^255-1;
  evidently 2^255 h10-2^255 q = 0.
  Goal: Output h0+...+2^230 h9.
  */

    s[0] = h0 >> 0;
    s[1] = h0 >> 8;
    s[2] = h0 >> 16;
    s[3] = (h0 >> 24) | (h1 << 2);
    s[4] = h1 >> 6;
    s[5] = h1 >> 14;
    s[6] = (h1 >> 22) | (h2 << 3);
    s[7] = h2 >> 5;
    s[8] = h2 >> 13;
    s[9] = (h2 >> 21) | (h3 << 5);
    s[10] = h3 >> 3;
    s[11] = h3 >> 11;
    s[12] = (h3 >> 19) | (h4 << 6);
    s[13] = h4 >> 2;
    s[14] = h4 >> 10;
    s[15] = h4 >> 18;
    s[16] = h5 >> 0;
    s[17] = h5 >> 8;
    s[18] = h5 >> 16;
    s[19] = (h5 >> 24) | (h6 << 1);
    s[20] = h6 >> 7;
    s[21] = h6 >> 15;
    s[22] = (h6 >> 23) | (h7 << 3);
    s[23] = h7 >> 5;
    s[24] = h7 >> 13;
    s[25] = (h7 >> 21) | (h8 << 4);
    s[26] = h8 >> 4;
    s[27] = h8 >> 12;
    s[28] = (h8 >> 20) | (h9 << 6);
    s[29] = h9 >> 2;
    s[30] = h9 >> 10;
    s[31] = h9 >> 18;
}

/* From ge_add.c */

void ge_add(ge_p1p1 *r, const ge_p3 *p, const ge_cached *q) {
    fe t0;
    fe_add(r->X, p->Y, p->X);
    fe_sub(r->Y, p->Y, p->X);
    fe_mul(r->Z, r->X, q->YplusX);
    fe_mul(r->Y, r->Y, q->YminusX);
    fe_mul(r->T, q->T2d, p->T);
    fe_mul(r->X, p->Z, q->Z);
    fe_add(t0, r->X, r->X);
    fe_sub(r->X, r->Z, r->Y);
    fe_add(r->Y, r->Z, r->Y);
    fe_add(r->Z, t0, r->T);
    fe_sub(r->T, t0, r->T);
}

/* From ge_double_scalarmult.c, modified */

static void slide(signed char *r, const unsigned char *a) {
    int i;
    int b;
    int k;

    for (i = 0; i < 256; ++i) {
        r[i] = 1 & (a[i >> 3] >> (i & 7));
    }

    for (i = 0; i < 256; ++i) {
        if (r[i]) {
            for (b = 1; b <= 6 && i + b < 256; ++b) {
                if (r[i + b]) {
                    if (r[i] + (r[i + b] << b) <= 15) {
                        r[i] += r[i + b] << b; r[i + b] = 0;
                    } else if (r[i] - (r[i + b] << b) >= -15) {
                        r[i] -= r[i + b] << b;
                        for (k = i + b; k < 256; ++k) {
                            if (!r[k]) {
                                r[k] = 1;
                                break;
                            }
                            r[k] = 0;
                        }
                    } else
                        break;
                }
            }
        }
    }
}

void ge_dsm_precomp(ge_dsmp r, const ge_p3 *s) {
    ge_p1p1 t;
    ge_p3 s2, u;
    ge_p3_to_cached(&r[0], s);
    ge_p3_dbl(&t, s); ge_p1p1_to_p3(&s2, &t);
    ge_add(&t, &s2, &r[0]); ge_p1p1_to_p3(&u, &t); ge_p3_to_cached(&r[1], &u);
    ge_add(&t, &s2, &r[1]); ge_p1p1_to_p3(&u, &t); ge_p3_to_cached(&r[2], &u);
    ge_add(&t, &s2, &r[2]); ge_p1p1_to_p3(&u, &t); ge_p3_to_cached(&r[3], &u);
    ge_add(&t, &s2, &r[3]); ge_p1p1_to_p3(&u, &t); ge_p3_to_cached(&r[4], &u);
    ge_add(&t, &s2, &r[4]); ge_p1p1_to_p3(&u, &t); ge_p3_to_cached(&r[5], &u);
    ge_add(&t, &s2, &r[5]); ge_p1p1_to_p3(&u, &t); ge_p3_to_cached(&r[6], &u);
    ge_add(&t, &s2, &r[6]); ge_p1p1_to_p3(&u, &t); ge_p3_to_cached(&r[7], &u);
}

/*
r = a * A + b * B
where a = a[0]+256*a[1]+...+256^31 a[31].
and b = b[0]+256*b[1]+...+256^31 b[31].
B is the Ed25519 base point (x,4/5) with x positive.
*/

void ge_double_scalarmult_base_vartime(ge_p2 *r, const unsigned char *a, const ge_p3 *A, const unsigned char *b) {
    signed char aslide[256];
    signed char bslide[256];
    ge_dsmp Ai; /* A, 3A, 5A, 7A, 9A, 11A, 13A, 15A */
    ge_p1p1 t;
    ge_p3 u;
    int i;

    slide(aslide, a);
    slide(bslide, b);
    ge_dsm_precomp(Ai, A);

    ge_p2_0(r);

    for (i = 255; i >= 0; --i) {
        if (aslide[i] || bslide[i]) break;
    }

    for (; i >= 0; --i) {
        ge_p2_dbl(&t, r);

        if (aslide[i] > 0) {
            ge_p1p1_to_p3(&u, &t);
            ge_add(&t, &u, &Ai[aslide[i]/2]);
        } else if (aslide[i] < 0) {
            ge_p1p1_to_p3(&u, &t);
            ge_sub(&t, &u, &Ai[(-aslide[i])/2]);
        }

        if (bslide[i] > 0) {
            ge_p1p1_to_p3(&u, &t);
            ge_madd(&t, &u, &ge_Bi[bslide[i]/2]);
        } else if (bslide[i] < 0) {
            ge_p1p1_to_p3(&u, &t);
            ge_msub(&t, &u, &ge_Bi[(-bslide[i])/2]);
        }

        ge_p1p1_to_p2(r, &t);
    }
}

// Computes aG + bB + cC (G is the fixed basepoint)
void ge_triple_scalarmult_base_vartime(ge_p2 *r, const unsigned char *a, const unsigned char *b, const ge_dsmp Bi, const unsigned char *c, const ge_dsmp Ci) {
    signed char aslide[256];
    signed char bslide[256];
    signed char cslide[256];
    ge_p1p1 t;
    ge_p3 u;
    int i;

    slide(aslide, a);
    slide(bslide, b);
    slide(cslide, c);

    ge_p2_0(r);

    for (i = 255; i >= 0; --i) {
        if (aslide[i] || bslide[i] || cslide[i]) break;
    }

    for (; i >= 0; --i) {
        ge_p2_dbl(&t, r);

        if (aslide[i] > 0) {
            ge_p1p1_to_p3(&u, &t);
            ge_madd(&t, &u, &ge_Bi[aslide[i]/2]);
        } else if (aslide[i] < 0) {
            ge_p1p1_to_p3(&u, &t);
            ge_msub(&t, &u, &ge_Bi[(-aslide[i])/2]);
        }

        if (bslide[i] > 0) {
            ge_p1p1_to_p3(&u, &t);
            ge_add(&t, &u, &Bi[bslide[i]/2]);
        } else if (bslide[i] < 0) {
            ge_p1p1_to_p3(&u, &t);
            ge_sub(&t, &u, &Bi[(-bslide[i])/2]);
        }

        if (cslide[i] > 0) {
            ge_p1p1_to_p3(&u, &t);
            ge_add(&t, &u, &Ci[cslide[i]/2]);
        } else if (cslide[i] < 0) {
            ge_p1p1_to_p3(&u, &t);
            ge_sub(&t, &u, &Ci[(-cslide[i])/2]);
        }

        ge_p1p1_to_p2(r, &t);
    }
}

void ge_double_scalarmult_base_vartime_p3(ge_p3 *r3, const unsigned char *a, const ge_p3 *A, const unsigned char *b) {
    signed char aslide[256];
    signed char bslide[256];
    ge_dsmp Ai; /* A, 3A, 5A, 7A, 9A, 11A, 13A, 15A */
    ge_p1p1 t;
    ge_p3 u;
    ge_p2 r;
    int i;

    slide(aslide, a);
    slide(bslide, b);
    ge_dsm_precomp(Ai, A);

    ge_p2_0(&r);

    for (i = 255; i >= 0; --i) {
        if (aslide[i] || bslide[i]) break;
    }

    for (; i >= 0; --i) {
        ge_p2_dbl(&t, &r);

        if (aslide[i] > 0) {
            ge_p1p1_to_p3(&u, &t);
            ge_add(&t, &u, &Ai[aslide[i]/2]);
        } else if (aslide[i] < 0) {
            ge_p1p1_to_p3(&u, &t);
            ge_sub(&t, &u, &Ai[(-aslide[i])/2]);
        }

        if (bslide[i] > 0) {
            ge_p1p1_to_p3(&u, &t);
            ge_madd(&t, &u, &ge_Bi[bslide[i]/2]);
        } else if (bslide[i] < 0) {
            ge_p1p1_to_p3(&u, &t);
            ge_msub(&t, &u, &ge_Bi[(-bslide[i])/2]);
        }

        if (i == 0)
            ge_p1p1_to_p3(r3, &t);
        else
            ge_p1p1_to_p2(&r, &t);
    }
}

/* From ge_frombytes.c, modified */

int ge_frombytes_vartime(ge_p3 *h, const unsigned char *s) {
    fe u;
    fe v;
    fe vxx;
    fe check;

    /* From fe_frombytes.c */

    int64_t h0 = load_4(s);
    int64_t h1 = load_3(s + 4) << 6;
    int64_t h2 = load_3(s + 7) << 5;
    int64_t h3 = load_3(s + 10) << 3;
    int64_t h4 = load_3(s + 13) << 2;
    int64_t h5 = load_4(s + 16);
    int64_t h6 = load_3(s + 20) << 7;
    int64_t h7 = load_3(s + 23) << 5;
    int64_t h8 = load_3(s + 26) << 4;
    int64_t h9 = (load_3(s + 29) & 8388607) << 2;
    int64_t carry0;
    int64_t carry1;
    int64_t carry2;
    int64_t carry3;
    int64_t carry4;
    int64_t carry5;
    int64_t carry6;
    int64_t carry7;
    int64_t carry8;
    int64_t carry9;

    /* Validate the number to be canonical */
    if (h9 == 33554428 && h8 == 268435440 && h7 == 536870880 && h6 == 2147483520 &&
        h5 == 4294967295 && h4 == 67108860 && h3 == 134217720 && h2 == 536870880 &&
        h1 == 1073741760 && h0 >= 4294967277) {
        return -1;
    }

    carry9 = (h9 + (int64_t) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25;
    carry1 = (h1 + (int64_t) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25;
    carry3 = (h3 + (int64_t) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25;
    carry5 = (h5 + (int64_t) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25;
    carry7 = (h7 + (int64_t) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25;

    carry0 = (h0 + (int64_t) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26;
    carry2 = (h2 + (int64_t) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26;
    carry4 = (h4 + (int64_t) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26;
    carry6 = (h6 + (int64_t) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26;
    carry8 = (h8 + (int64_t) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26;

    h->Y[0] = h0;
    h->Y[1] = h1;
    h->Y[2] = h2;
    h->Y[3] = h3;
    h->Y[4] = h4;
    h->Y[5] = h5;
    h->Y[6] = h6;
    h->Y[7] = h7;
    h->Y[8] = h8;
    h->Y[9] = h9;

    /* End fe_frombytes.c */

    fe_1(h->Z);
    fe_sq(u, h->Y);
    fe_mul(v, u, fe_d);
    fe_sub(u, u, h->Z);       /* u = y^2-1 */
    fe_add(v, v, h->Z);       /* v = dy^2+1 */

    fe_divpowm1(h->X, u, v); /* x = uv^3(uv^7)^((q-5)/8) */

    fe_sq(vxx, h->X);
    fe_mul(vxx, vxx, v);
    fe_sub(check, vxx, u);    /* vx^2-u */
    if (fe_isnonzero(check)) {
        fe_add(check, vxx, u);  /* vx^2+u */
        if (fe_isnonzero(check)) {
            return -1;
        }
        fe_mul(h->X, h->X, fe_sqrtm1);
    }

    if (fe_isnegative(h->X) != (s[31] >> 7)) {
        /* If x = 0, the sign must be positive */
        if (!fe_isnonzero(h->X)) {
            return -1;
        }
        fe_neg(h->X, h->X);
    }

    fe_mul(h->T, h->X, h->Y);
    return 0;
}

/* From ge_madd.c */

/*
r = p + q
*/

static void ge_madd(ge_p1p1 *r, const ge_p3 *p, const ge_precomp *q) {
    fe t0;
    fe_add(r->X, p->Y, p->X);
    fe_sub(r->Y, p->Y, p->X);
    fe_mul(r->Z, r->X, q->yplusx);
    fe_mul(r->Y, r->Y, q->yminusx);
    fe_mul(r->T, q->xy2d, p->T);
    fe_add(t0, p->Z, p->Z);
    fe_sub(r->X, r->Z, r->Y);
    fe_add(r->Y, r->Z, r->Y);
    fe_add(r->Z, t0, r->T);
    fe_sub(r->T, t0, r->T);
}

/* From ge_msub.c */

/*
r = p - q
*/

static void ge_msub(ge_p1p1 *r, const ge_p3 *p, const ge_precomp *q) {
    fe t0;
    fe_add(r->X, p->Y, p->X);
    fe_sub(r->Y, p->Y, p->X);
    fe_mul(r->Z, r->X, q->yminusx);
    fe_mul(r->Y, r->Y, q->yplusx);
    fe_mul(r->T, q->xy2d, p->T);
    fe_add(t0, p->Z, p->Z);
    fe_sub(r->X, r->Z, r->Y);
    fe_add(r->Y, r->Z, r->Y);
    fe_sub(r->Z, t0, r->T);
    fe_add(r->T, t0, r->T);
}

/* From ge_p1p1_to_p2.c */

/*
r = p
*/

void ge_p1p1_to_p2(ge_p2 *r, const ge_p1p1 *p) {
    fe_mul(r->X, p->X, p->T);
    fe_mul(r->Y, p->Y, p->Z);
    fe_mul(r->Z, p->Z, p->T);
}

/* From ge_p1p1_to_p3.c */

/*
r = p
*/

void ge_p1p1_to_p3(ge_p3 *r, const ge_p1p1 *p) {
    fe_mul(r->X, p->X, p->T);
    fe_mul(r->Y, p->Y, p->Z);
    fe_mul(r->Z, p->Z, p->T);
    fe_mul(r->T, p->X, p->Y);
}

/* From ge_p2_0.c */

static void ge_p2_0(ge_p2 *h) {
    fe_0(h->X);
    fe_1(h->Y);
    fe_1(h->Z);
}

/* From ge_p2_dbl.c */

/*
r = 2 * p
*/

void ge_p2_dbl(ge_p1p1 *r, const ge_p2 *p) {
    fe t0;
    fe_sq(r->X, p->X);
    fe_sq(r->Z, p->Y);
    fe_sq2(r->T, p->Z);
    fe_add(r->Y, p->X, p->Y);
    fe_sq(t0, r->Y);
    fe_add(r->Y, r->Z, r->X);
    fe_sub(r->Z, r->Z, r->X);
    fe_sub(r->X, t0, r->Y);
    fe_sub(r->T, r->T, r->Z);
}

/* From ge_p3_0.c */

static void ge_p3_0(ge_p3 *h) {
    fe_0(h->X);
    fe_1(h->Y);
    fe_1(h->Z);
    fe_0(h->T);
}

/* From ge_p3_dbl.c */

/*
r = 2 * p
*/

static void ge_p3_dbl(ge_p1p1 *r, const ge_p3 *p) {
    ge_p2 q;
    ge_p3_to_p2(&q, p);
    ge_p2_dbl(r, &q);
}

/* From ge_p3_to_cached.c */

/*
r = p
*/

void ge_p3_to_cached(ge_cached *r, const ge_p3 *p) {
    fe_add(r->YplusX, p->Y, p->X);
    fe_sub(r->YminusX, p->Y, p->X);
    fe_copy(r->Z, p->Z);
    fe_mul(r->T2d, p->T, fe_d2);
}

/* From ge_p3_to_p2.c */

/*
r = p
*/

void ge_p3_to_p2(ge_p2 *r, const ge_p3 *p) {
    fe_copy(r->X, p->X);
    fe_copy(r->Y, p->Y);
    fe_copy(r->Z, p->Z);
}

/* From ge_p3_tobytes.c */

void ge_p3_tobytes(unsigned char *s, const ge_p3 *h) {
    fe recip;
    fe x;
    fe y;

    fe_invert(recip, h->Z);
    fe_mul(x, h->X, recip);
    fe_mul(y, h->Y, recip);
    fe_tobytes(s, y);
    s[31] ^= fe_isnegative(x) << 7;
}

/* From ge_precomp_0.c */

static void ge_precomp_0(ge_precomp *h) {
    fe_1(h->yplusx);
    fe_1(h->yminusx);
    fe_0(h->xy2d);
}

/* From ge_scalarmult_base.c */

static unsigned char equal(signed char b, signed char c) {
    unsigned char ub = b;
    unsigned char uc = c;
    unsigned char x = ub ^ uc; /* 0: yes; 1..255: no */
    uint32_t y = x; /* 0: yes; 1..255: no */
    y -= 1; /* 4294967295: yes; 0..254: no */
    y >>= 31; /* 1: yes; 0: no */
    return y;
}

static unsigned char negative(signed char b) {
    unsigned long long x = b; /* 18446744073709551361..18446744073709551615: yes; 0..255: no */
    x >>= 63; /* 1: yes; 0: no */
    return x;
}

static void ge_precomp_cmov(ge_precomp *t, const ge_precomp *u, unsigned char b) {
    fe_cmov(t->yplusx, u->yplusx, b);
    fe_cmov(t->yminusx, u->yminusx, b);
    fe_cmov(t->xy2d, u->xy2d, b);
}

static void select(ge_precomp *t, int pos, signed char b) {
    ge_precomp minust;
    unsigned char bnegative = negative(b);
    unsigned char babs = b - (((-bnegative) & b) << 1);

    ge_precomp_0(t);
    ge_precomp_cmov(t, &ge_base[pos][0], equal(babs, 1));
    ge_precomp_cmov(t, &ge_base[pos][1], equal(babs, 2));
    ge_precomp_cmov(t, &ge_base[pos][2], equal(babs, 3));
    ge_precomp_cmov(t, &ge_base[pos][3], equal(babs, 4));
    ge_precomp_cmov(t, &ge_base[pos][4], equal(babs, 5));
    ge_precomp_cmov(t, &ge_base[pos][5], equal(babs, 6));
    ge_precomp_cmov(t, &ge_base[pos][6], equal(babs, 7));
    ge_precomp_cmov(t, &ge_base[pos][7], equal(babs, 8));
    fe_copy(minust.yplusx, t->yminusx);
    fe_copy(minust.yminusx, t->yplusx);
    fe_neg(minust.xy2d, t->xy2d);
    ge_precomp_cmov(t, &minust, bnegative);
}

/*
h = a * B
where a = a[0]+256*a[1]+...+256^31 a[31]
B is the Ed25519 base point (x,4/5) with x positive.

Preconditions:
  a[31] <= 127
*/

void ge_scalarmult_base(ge_p3 *h, const unsigned char *a) {
    signed char e[64];
    signed char carry;
    ge_p1p1 r;
    ge_p2 s;
    ge_precomp t;
    int i;

    for (i = 0; i < 32; ++i) {
        e[2 * i + 0] = (a[i] >> 0) & 15;
        e[2 * i + 1] = (a[i] >> 4) & 15;
    }
    /* each e[i] is between 0 and 15 */
    /* e[63] is between 0 and 7 */

    carry = 0;
    for (i = 0; i < 63; ++i) {
        e[i] += carry;
        carry = e[i] + 8;
        carry >>= 4;
        e[i] -= carry << 4;
    }
    e[63] += carry;
    /* each e[i] is between -8 and 8 */

    ge_p3_0(h);
    for (i = 1; i < 64; i += 2) {
        select(&t, i / 2, e[i]);
        ge_madd(&r, h, &t); ge_p1p1_to_p3(h, &r);
    }

    ge_p3_dbl(&r, h);  ge_p1p1_to_p2(&s, &r);
    ge_p2_dbl(&r, &s); ge_p1p1_to_p2(&s, &r);
    ge_p2_dbl(&r, &s); ge_p1p1_to_p2(&s, &r);
    ge_p2_dbl(&r, &s); ge_p1p1_to_p3(h, &r);

    for (i = 0; i < 64; i += 2) {
        select(&t, i / 2, e[i]);
        ge_madd(&r, h, &t); ge_p1p1_to_p3(h, &r);
    }
}

/* From ge_sub.c */

/*
r = p - q
*/

void ge_sub(ge_p1p1 *r, const ge_p3 *p, const ge_cached *q) {
    fe t0;
    fe_add(r->X, p->Y, p->X);
    fe_sub(r->Y, p->Y, p->X);
    fe_mul(r->Z, r->X, q->YminusX);
    fe_mul(r->Y, r->Y, q->YplusX);
    fe_mul(r->T, q->T2d, p->T);
    fe_mul(r->X, p->Z, q->Z);
    fe_add(t0, r->X, r->X);
    fe_sub(r->X, r->Z, r->Y);
    fe_add(r->Y, r->Z, r->Y);
    fe_sub(r->Z, t0, r->T);
    fe_add(r->T, t0, r->T);
}

/* From ge_tobytes.c */

void ge_tobytes(unsigned char *s, const ge_p2 *h) {
    fe recip;
    fe x;
    fe y;

    fe_invert(recip, h->Z);
    fe_mul(x, h->X, recip);
    fe_mul(y, h->Y, recip);
    fe_tobytes(s, y);
    s[31] ^= fe_isnegative(x) << 7;
}

/* From sc_reduce.c */

/*
Input:
  s[0]+256*s[1]+...+256^63*s[63] = s

Output:
  s[0]+256*s[1]+...+256^31*s[31] = s mod l
  where l = 2^252 + 27742317777372353535851937790883648493.
  Overwrites s in place.
*/

void sc_reduce(unsigned char *s) {
    int64_t s0 = 2097151 & load_3(s);
    int64_t s1 = 2097151 & (load_4(s + 2) >> 5);
    int64_t s2 = 2097151 & (load_3(s + 5) >> 2);
    int64_t s3 = 2097151 & (load_4(s + 7) >> 7);
    int64_t s4 = 2097151 & (load_4(s + 10) >> 4);
    int64_t s5 = 2097151 & (load_3(s + 13) >> 1);
    int64_t s6 = 2097151 & (load_4(s + 15) >> 6);
    int64_t s7 = 2097151 & (load_3(s + 18) >> 3);
    int64_t s8 = 2097151 & load_3(s + 21);
    int64_t s9 = 2097151 & (load_4(s + 23) >> 5);
    int64_t s10 = 2097151 & (load_3(s + 26) >> 2);
    int64_t s11 = 2097151 & (load_4(s + 28) >> 7);
    int64_t s12 = 2097151 & (load_4(s + 31) >> 4);
    int64_t s13 = 2097151 & (load_3(s + 34) >> 1);
    int64_t s14 = 2097151 & (load_4(s + 36) >> 6);
    int64_t s15 = 2097151 & (load_3(s + 39) >> 3);
    int64_t s16 = 2097151 & load_3(s + 42);
    int64_t s17 = 2097151 & (load_4(s + 44) >> 5);
    int64_t s18 = 2097151 & (load_3(s + 47) >> 2);
    int64_t s19 = 2097151 & (load_4(s + 49) >> 7);
    int64_t s20 = 2097151 & (load_4(s + 52) >> 4);
    int64_t s21 = 2097151 & (load_3(s + 55) >> 1);
    int64_t s22 = 2097151 & (load_4(s + 57) >> 6);
    int64_t s23 = (load_4(s + 60) >> 3);
    int64_t carry0;
    int64_t carry1;
    int64_t carry2;
    int64_t carry3;
    int64_t carry4;
    int64_t carry5;
    int64_t carry6;
    int64_t carry7;
    int64_t carry8;
    int64_t carry9;
    int64_t carry10;
    int64_t carry11;
    int64_t carry12;
    int64_t carry13;
    int64_t carry14;
    int64_t carry15;
    int64_t carry16;

    s11 += s23 * 666643;
    s12 += s23 * 470296;
    s13 += s23 * 654183;
    s14 -= s23 * 997805;
    s15 += s23 * 136657;
    s16 -= s23 * 683901;

    s10 += s22 * 666643;
    s11 += s22 * 470296;
    s12 += s22 * 654183;
    s13 -= s22 * 997805;
    s14 += s22 * 136657;
    s15 -= s22 * 683901;

    s9 += s21 * 666643;
    s10 += s21 * 470296;
    s11 += s21 * 654183;
    s12 -= s21 * 997805;
    s13 += s21 * 136657;
    s14 -= s21 * 683901;

    s8 += s20 * 666643;
    s9 += s20 * 470296;
    s10 += s20 * 654183;
    s11 -= s20 * 997805;
    s12 += s20 * 136657;
    s13 -= s20 * 683901;

    s7 += s19 * 666643;
    s8 += s19 * 470296;
    s9 += s19 * 654183;
    s10 -= s19 * 997805;
    s11 += s19 * 136657;
    s12 -= s19 * 683901;

    s6 += s18 * 666643;
    s7 += s18 * 470296;
    s8 += s18 * 654183;
    s9 -= s18 * 997805;
    s10 += s18 * 136657;
    s11 -= s18 * 683901;

    carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21;
    carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21;
    carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21;
    carry12 = (s12 + (1<<20)) >> 21; s13 += carry12; s12 -= carry12 << 21;
    carry14 = (s14 + (1<<20)) >> 21; s15 += carry14; s14 -= carry14 << 21;
    carry16 = (s16 + (1<<20)) >> 21; s17 += carry16; s16 -= carry16 << 21;

    carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21;
    carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21;
    carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21;
    carry13 = (s13 + (1<<20)) >> 21; s14 += carry13; s13 -= carry13 << 21;
    carry15 = (s15 + (1<<20)) >> 21; s16 += carry15; s15 -= carry15 << 21;

    s5 += s17 * 666643;
    s6 += s17 * 470296;
    s7 += s17 * 654183;
    s8 -= s17 * 997805;
    s9 += s17 * 136657;
    s10 -= s17 * 683901;

    s4 += s16 * 666643;
    s5 += s16 * 470296;
    s6 += s16 * 654183;
    s7 -= s16 * 997805;
    s8 += s16 * 136657;
    s9 -= s16 * 683901;

    s3 += s15 * 666643;
    s4 += s15 * 470296;
    s5 += s15 * 654183;
    s6 -= s15 * 997805;
    s7 += s15 * 136657;
    s8 -= s15 * 683901;

    s2 += s14 * 666643;
    s3 += s14 * 470296;
    s4 += s14 * 654183;
    s5 -= s14 * 997805;
    s6 += s14 * 136657;
    s7 -= s14 * 683901;

    s1 += s13 * 666643;
    s2 += s13 * 470296;
    s3 += s13 * 654183;
    s4 -= s13 * 997805;
    s5 += s13 * 136657;
    s6 -= s13 * 683901;

    s0 += s12 * 666643;
    s1 += s12 * 470296;
    s2 += s12 * 654183;
    s3 -= s12 * 997805;
    s4 += s12 * 136657;
    s5 -= s12 * 683901;
    s12 = 0;

    carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21;
    carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21;
    carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21;
    carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21;
    carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21;
    carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21;

    carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21;
    carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21;
    carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21;
    carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21;
    carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21;
    carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21;

    s0 += s12 * 666643;
    s1 += s12 * 470296;
    s2 += s12 * 654183;
    s3 -= s12 * 997805;
    s4 += s12 * 136657;
    s5 -= s12 * 683901;
    s12 = 0;

    carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21;
    carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21;
    carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21;
    carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21;
    carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21;
    carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21;
    carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21;
    carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21;
    carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21;
    carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21;
    carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21;
    carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 21;

    s0 += s12 * 666643;
    s1 += s12 * 470296;
    s2 += s12 * 654183;
    s3 -= s12 * 997805;
    s4 += s12 * 136657;
    s5 -= s12 * 683901;

    carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21;
    carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21;
    carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21;
    carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21;
    carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21;
    carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21;
    carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21;
    carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21;
    carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21;
    carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21;
    carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21;

    s[0] = s0 >> 0;
    s[1] = s0 >> 8;
    s[2] = (s0 >> 16) | (s1 << 5);
    s[3] = s1 >> 3;
    s[4] = s1 >> 11;
    s[5] = (s1 >> 19) | (s2 << 2);
    s[6] = s2 >> 6;
    s[7] = (s2 >> 14) | (s3 << 7);
    s[8] = s3 >> 1;
    s[9] = s3 >> 9;
    s[10] = (s3 >> 17) | (s4 << 4);
    s[11] = s4 >> 4;
    s[12] = s4 >> 12;
    s[13] = (s4 >> 20) | (s5 << 1);
    s[14] = s5 >> 7;
    s[15] = (s5 >> 15) | (s6 << 6);
    s[16] = s6 >> 2;
    s[17] = s6 >> 10;
    s[18] = (s6 >> 18) | (s7 << 3);
    s[19] = s7 >> 5;
    s[20] = s7 >> 13;
    s[21] = s8 >> 0;
    s[22] = s8 >> 8;
    s[23] = (s8 >> 16) | (s9 << 5);
    s[24] = s9 >> 3;
    s[25] = s9 >> 11;
    s[26] = (s9 >> 19) | (s10 << 2);
    s[27] = s10 >> 6;
    s[28] = (s10 >> 14) | (s11 << 7);
    s[29] = s11 >> 1;
    s[30] = s11 >> 9;
    s[31] = s11 >> 17;
}

/* New code */

static void fe_divpowm1(fe r, const fe u, const fe v) {
    fe v3, uv7, t0, t1, t2;
    int i;

    fe_sq(v3, v);
    fe_mul(v3, v3, v); /* v3 = v^3 */
    fe_sq(uv7, v3);
    fe_mul(uv7, uv7, v);
    fe_mul(uv7, uv7, u); /* uv7 = uv^7 */

    /*fe_pow22523(uv7, uv7);*/

    /* From fe_pow22523.c */

    fe_sq(t0, uv7);
    fe_sq(t1, t0);
    fe_sq(t1, t1);
    fe_mul(t1, uv7, t1);
    fe_mul(t0, t0, t1);
    fe_sq(t0, t0);
    fe_mul(t0, t1, t0);
    fe_sq(t1, t0);
    for (i = 0; i < 4; ++i) {
        fe_sq(t1, t1);
    }
    fe_mul(t0, t1, t0);
    fe_sq(t1, t0);
    for (i = 0; i < 9; ++i) {
        fe_sq(t1, t1);
    }
    fe_mul(t1, t1, t0);
    fe_sq(t2, t1);
    for (i = 0; i < 19; ++i) {
        fe_sq(t2, t2);
    }
    fe_mul(t1, t2, t1);
    for (i = 0; i < 10; ++i) {
        fe_sq(t1, t1);
    }
    fe_mul(t0, t1, t0);
    fe_sq(t1, t0);
    for (i = 0; i < 49; ++i) {
        fe_sq(t1, t1);
    }
    fe_mul(t1, t1, t0);
    fe_sq(t2, t1);
    for (i = 0; i < 99; ++i) {
        fe_sq(t2, t2);
    }
    fe_mul(t1, t2, t1);
    for (i = 0; i < 50; ++i) {
        fe_sq(t1, t1);
    }
    fe_mul(t0, t1, t0);
    fe_sq(t0, t0);
    fe_sq(t0, t0);
    fe_mul(t0, t0, uv7);

    /* End fe_pow22523.c */
    /* t0 = (uv^7)^((q-5)/8) */
    fe_mul(t0, t0, v3);
    fe_mul(r, t0, u); /* u^(m+1)v^(-(m+1)) */
}

static void ge_cached_0(ge_cached *r) {
    fe_1(r->YplusX);
    fe_1(r->YminusX);
    fe_1(r->Z);
    fe_0(r->T2d);
}

static void ge_cached_cmov(ge_cached *t, const ge_cached *u, unsigned char b) {
    fe_cmov(t->YplusX, u->YplusX, b);
    fe_cmov(t->YminusX, u->YminusX, b);
    fe_cmov(t->Z, u->Z, b);
    fe_cmov(t->T2d, u->T2d, b);
}

/* Assumes that a[31] <= 127 */
void ge_scalarmult(ge_p2 *r, const unsigned char *a, const ge_p3 *A) {
    signed char e[64];
    int carry, carry2, i;
    ge_cached Ai[8]; /* 1 * A, 2 * A, ..., 8 * A */
    ge_p1p1 t;
    ge_p3 u;

    carry = 0; /* 0..1 */
    for (i = 0; i < 31; i++) {
        carry += a[i]; /* 0..256 */
        carry2 = (carry + 8) >> 4; /* 0..16 */
        e[2 * i] = carry - (carry2 << 4); /* -8..7 */
        carry = (carry2 + 8) >> 4; /* 0..1 */
        e[2 * i + 1] = carry2 - (carry << 4); /* -8..7 */
    }
    carry += a[31]; /* 0..128 */
    carry2 = (carry + 8) >> 4; /* 0..8 */
    e[62] = carry - (carry2 << 4); /* -8..7 */
    e[63] = carry2; /* 0..8 */

    ge_p3_to_cached(&Ai[0], A);
    for (i = 0; i < 7; i++) {
        ge_add(&t, A, &Ai[i]);
        ge_p1p1_to_p3(&u, &t);
        ge_p3_to_cached(&Ai[i + 1], &u);
    }

    ge_p2_0(r);
    for (i = 63; i >= 0; i--) {
        signed char b = e[i];
        unsigned char bnegative = negative(b);
        unsigned char babs = b - (((-bnegative) & b) << 1);
        ge_cached cur, minuscur;
        ge_p2_dbl(&t, r);
        ge_p1p1_to_p2(r, &t);
        ge_p2_dbl(&t, r);
        ge_p1p1_to_p2(r, &t);
        ge_p2_dbl(&t, r);
        ge_p1p1_to_p2(r, &t);
        ge_p2_dbl(&t, r);
        ge_p1p1_to_p3(&u, &t);
        ge_cached_0(&cur);
        ge_cached_cmov(&cur, &Ai[0], equal(babs, 1));
        ge_cached_cmov(&cur, &Ai[1], equal(babs, 2));
        ge_cached_cmov(&cur, &Ai[2], equal(babs, 3));
        ge_cached_cmov(&cur, &Ai[3], equal(babs, 4));
        ge_cached_cmov(&cur, &Ai[4], equal(babs, 5));
        ge_cached_cmov(&cur, &Ai[5], equal(babs, 6));
        ge_cached_cmov(&cur, &Ai[6], equal(babs, 7));
        ge_cached_cmov(&cur, &Ai[7], equal(babs, 8));
        fe_copy(minuscur.YplusX, cur.YminusX);
        fe_copy(minuscur.YminusX, cur.YplusX);
        fe_copy(minuscur.Z, cur.Z);
        fe_neg(minuscur.T2d, cur.T2d);
        ge_cached_cmov(&cur, &minuscur, bnegative);
        ge_add(&t, &u, &cur);
        ge_p1p1_to_p2(r, &t);
    }
}

void ge_scalarmult_p3(ge_p3 *r3, const unsigned char *a, const ge_p3 *A) {
    signed char e[64];
    int carry, carry2, i;
    ge_cached Ai[8]; /* 1 * A, 2 * A, ..., 8 * A */
    ge_p1p1 t;
    ge_p3 u;
    ge_p2 r;

    carry = 0; /* 0..1 */
    for (i = 0; i < 31; i++) {
        carry += a[i]; /* 0..256 */
        carry2 = (carry + 8) >> 4; /* 0..16 */
        e[2 * i] = carry - (carry2 << 4); /* -8..7 */
        carry = (carry2 + 8) >> 4; /* 0..1 */
        e[2 * i + 1] = carry2 - (carry << 4); /* -8..7 */
    }
    carry += a[31]; /* 0..128 */
    carry2 = (carry + 8) >> 4; /* 0..8 */
    e[62] = carry - (carry2 << 4); /* -8..7 */
    e[63] = carry2; /* 0..8 */

    ge_p3_to_cached(&Ai[0], A);
    for (i = 0; i < 7; i++) {
        ge_add(&t, A, &Ai[i]);
        ge_p1p1_to_p3(&u, &t);
        ge_p3_to_cached(&Ai[i + 1], &u);
    }

    ge_p2_0(&r);
    for (i = 63; i >= 0; i--) {
        signed char b = e[i];
        unsigned char bnegative = negative(b);
        unsigned char babs = b - (((-bnegative) & b) << 1);
        ge_cached cur, minuscur;
        ge_p2_dbl(&t, &r);
        ge_p1p1_to_p2(&r, &t);
        ge_p2_dbl(&t, &r);
        ge_p1p1_to_p2(&r, &t);
        ge_p2_dbl(&t, &r);
        ge_p1p1_to_p2(&r, &t);
        ge_p2_dbl(&t, &r);
        ge_p1p1_to_p3(&u, &t);
        ge_cached_0(&cur);
        ge_cached_cmov(&cur, &Ai[0], equal(babs, 1));
        ge_cached_cmov(&cur, &Ai[1], equal(babs, 2));
        ge_cached_cmov(&cur, &Ai[2], equal(babs, 3));
        ge_cached_cmov(&cur, &Ai[3], equal(babs, 4));
        ge_cached_cmov(&cur, &Ai[4], equal(babs, 5));
        ge_cached_cmov(&cur, &Ai[5], equal(babs, 6));
        ge_cached_cmov(&cur, &Ai[6], equal(babs, 7));
        ge_cached_cmov(&cur, &Ai[7], equal(babs, 8));
        fe_copy(minuscur.YplusX, cur.YminusX);
        fe_copy(minuscur.YminusX, cur.YplusX);
        fe_copy(minuscur.Z, cur.Z);
        fe_neg(minuscur.T2d, cur.T2d);
        ge_cached_cmov(&cur, &minuscur, bnegative);
        ge_add(&t, &u, &cur);
        if (i == 0)
            ge_p1p1_to_p3(r3, &t);
        else
            ge_p1p1_to_p2(&r, &t);
    }
}

void ge_double_scalarmult_precomp_vartime2(ge_p2 *r, const unsigned char *a, const ge_dsmp Ai, const unsigned char *b, const ge_dsmp Bi) {
    signed char aslide[256];
    signed char bslide[256];
    ge_p1p1 t;
    ge_p3 u;
    int i;

    slide(aslide, a);
    slide(bslide, b);

    ge_p2_0(r);

    for (i = 255; i >= 0; --i) {
        if (aslide[i] || bslide[i]) break;
    }

    for (; i >= 0; --i) {
        ge_p2_dbl(&t, r);

        if (aslide[i] > 0) {
            ge_p1p1_to_p3(&u, &t);
            ge_add(&t, &u, &Ai[aslide[i]/2]);
        } else if (aslide[i] < 0) {
            ge_p1p1_to_p3(&u, &t);
            ge_sub(&t, &u, &Ai[(-aslide[i])/2]);
        }

        if (bslide[i] > 0) {
            ge_p1p1_to_p3(&u, &t);
            ge_add(&t, &u, &Bi[bslide[i]/2]);
        } else if (bslide[i] < 0) {
            ge_p1p1_to_p3(&u, &t);
            ge_sub(&t, &u, &Bi[(-bslide[i])/2]);
        }

        ge_p1p1_to_p2(r, &t);
    }
}

// Computes aA + bB + cC (all points require precomputation)
void ge_triple_scalarmult_precomp_vartime(ge_p2 *r, const unsigned char *a, const ge_dsmp Ai, const unsigned char *b, const ge_dsmp Bi, const unsigned char *c, const ge_dsmp Ci) {
    signed char aslide[256];
    signed char bslide[256];
    signed char cslide[256];
    ge_p1p1 t;
    ge_p3 u;
    int i;

    slide(aslide, a);
    slide(bslide, b);
    slide(cslide, c);

    ge_p2_0(r);

    for (i = 255; i >= 0; --i) {
        if (aslide[i] || bslide[i] || cslide[i]) break;
    }

    for (; i >= 0; --i) {
        ge_p2_dbl(&t, r);

        if (aslide[i] > 0) {
            ge_p1p1_to_p3(&u, &t);
            ge_add(&t, &u, &Ai[aslide[i]/2]);
        } else if (aslide[i] < 0) {
            ge_p1p1_to_p3(&u, &t);
            ge_sub(&t, &u, &Ai[(-aslide[i])/2]);
        }

        if (bslide[i] > 0) {
            ge_p1p1_to_p3(&u, &t);
            ge_add(&t, &u, &Bi[bslide[i]/2]);
        } else if (bslide[i] < 0) {
            ge_p1p1_to_p3(&u, &t);
            ge_sub(&t, &u, &Bi[(-bslide[i])/2]);
        }

        if (cslide[i] > 0) {
            ge_p1p1_to_p3(&u, &t);
            ge_add(&t, &u, &Ci[cslide[i]/2]);
        } else if (cslide[i] < 0) {
            ge_p1p1_to_p3(&u, &t);
            ge_sub(&t, &u, &Ci[(-cslide[i])/2]);
        }

        ge_p1p1_to_p2(r, &t);
    }
}

void ge_double_scalarmult_precomp_vartime2_p3(ge_p3 *r3, const unsigned char *a, const ge_dsmp Ai, const unsigned char *b, const ge_dsmp Bi) {
    signed char aslide[256];
    signed char bslide[256];
    ge_p1p1 t;
    ge_p3 u;
    ge_p2 r;
    int i;

    slide(aslide, a);
    slide(bslide, b);

    ge_p2_0(&r);

    for (i = 255; i >= 0; --i) {
        if (aslide[i] || bslide[i]) break;
    }

    for (; i >= 0; --i) {
        ge_p2_dbl(&t, &r);

        if (aslide[i] > 0) {
            ge_p1p1_to_p3(&u, &t);
            ge_add(&t, &u, &Ai[aslide[i]/2]);
        } else if (aslide[i] < 0) {
            ge_p1p1_to_p3(&u, &t);
            ge_sub(&t, &u, &Ai[(-aslide[i])/2]);
        }

        if (bslide[i] > 0) {
            ge_p1p1_to_p3(&u, &t);
            ge_add(&t, &u, &Bi[bslide[i]/2]);
        } else if (bslide[i] < 0) {
            ge_p1p1_to_p3(&u, &t);
            ge_sub(&t, &u, &Bi[(-bslide[i])/2]);
        }

        if (i == 0)
            ge_p1p1_to_p3(r3, &t);
        else
            ge_p1p1_to_p2(&r, &t);
    }
}

void ge_double_scalarmult_precomp_vartime(ge_p2 *r, const unsigned char *a, const ge_p3 *A, const unsigned char *b, const ge_dsmp Bi) {
    ge_dsmp Ai; /* A, 3A, 5A, 7A, 9A, 11A, 13A, 15A */

    ge_dsm_precomp(Ai, A);
    ge_double_scalarmult_precomp_vartime2(r, a, Ai, b, Bi);
}

void ge_mul8(ge_p1p1 *r, const ge_p2 *t) {
    ge_p2 u;
    ge_p2_dbl(r, t);
    ge_p1p1_to_p2(&u, r);
    ge_p2_dbl(r, &u);
    ge_p1p1_to_p2(&u, r);
    ge_p2_dbl(r, &u);
}

void ge_fromfe_frombytes_vartime(ge_p2 *r, const unsigned char *s) {
    fe u, v, w, x, y, z;
    unsigned char sign;

    /* From fe_frombytes.c */

    int64_t h0 = load_4(s);
    int64_t h1 = load_3(s + 4) << 6;
    int64_t h2 = load_3(s + 7) << 5;
    int64_t h3 = load_3(s + 10) << 3;
    int64_t h4 = load_3(s + 13) << 2;
    int64_t h5 = load_4(s + 16);
    int64_t h6 = load_3(s + 20) << 7;
    int64_t h7 = load_3(s + 23) << 5;
    int64_t h8 = load_3(s + 26) << 4;
    int64_t h9 = load_3(s + 29) << 2;
    int64_t carry0;
    int64_t carry1;
    int64_t carry2;
    int64_t carry3;
    int64_t carry4;
    int64_t carry5;
    int64_t carry6;
    int64_t carry7;
    int64_t carry8;
    int64_t carry9;

    carry9 = (h9 + (int64_t) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25;
    carry1 = (h1 + (int64_t) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25;
    carry3 = (h3 + (int64_t) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25;
    carry5 = (h5 + (int64_t) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25;
    carry7 = (h7 + (int64_t) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25;

    carry0 = (h0 + (int64_t) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26;
    carry2 = (h2 + (int64_t) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26;
    carry4 = (h4 + (int64_t) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26;
    carry6 = (h6 + (int64_t) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26;
    carry8 = (h8 + (int64_t) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26;

    u[0] = h0;
    u[1] = h1;
    u[2] = h2;
    u[3] = h3;
    u[4] = h4;
    u[5] = h5;
    u[6] = h6;
    u[7] = h7;
    u[8] = h8;
    u[9] = h9;

    /* End fe_frombytes.c */

    fe_sq2(v, u); /* 2 * u^2 */
    fe_1(w);
    fe_add(w, v, w); /* w = 2 * u^2 + 1 */
    fe_sq(x, w); /* w^2 */
    fe_mul(y, fe_ma2, v); /* -2 * A^2 * u^2 */
    fe_add(x, x, y); /* x = w^2 - 2 * A^2 * u^2 */
    fe_divpowm1(r->X, w, x); /* (w / x)^(m + 1) */
    fe_sq(y, r->X);
    fe_mul(x, y, x);
    fe_sub(y, w, x);
    fe_copy(z, fe_ma);
    if (fe_isnonzero(y)) {
        fe_add(y, w, x);
        if (fe_isnonzero(y)) {
            goto negative;
        } else {
            fe_mul(r->X, r->X, fe_fffb1);
        }
    } else {
        fe_mul(r->X, r->X, fe_fffb2);
    }
    fe_mul(r->X, r->X, u); /* u * sqrt(2 * A * (A + 2) * w / x) */
    fe_mul(z, z, v); /* -2 * A * u^2 */
    sign = 0;
    goto setsign;
    negative:
    fe_mul(x, x, fe_sqrtm1);
    fe_sub(y, w, x);
    if (fe_isnonzero(y)) {
        assert((fe_add(y, w, x), !fe_isnonzero(y)));
        fe_mul(r->X, r->X, fe_fffb3);
    } else {
        fe_mul(r->X, r->X, fe_fffb4);
    }
    /* r->X = sqrt(A * (A + 2) * w / x) */
    /* z = -A */
    sign = 1;
    setsign:
    if (fe_isnegative(r->X) != sign) {
        assert(fe_isnonzero(r->X));
        fe_neg(r->X, r->X);
    }
    fe_add(r->Z, z, w);
    fe_sub(r->Y, z, w);
    fe_mul(r->X, r->X, r->Z);
#if !defined(NDEBUG)
    {
        fe check_x, check_y, check_iz, check_v;
        fe_invert(check_iz, r->Z);
        fe_mul(check_x, r->X, check_iz);
        fe_mul(check_y, r->Y, check_iz);
        fe_sq(check_x, check_x);
        fe_sq(check_y, check_y);
        fe_mul(check_v, check_x, check_y);
        fe_mul(check_v, fe_d, check_v);
        fe_add(check_v, check_v, check_x);
        fe_sub(check_v, check_v, check_y);
        fe_1(check_x);
        fe_add(check_v, check_v, check_x);
        assert(!fe_isnonzero(check_v));
    }
#endif
}

void sc_0(unsigned char *s) {
    int i;
    for (i = 0; i < 32; i++) {
        s[i] = 0;
    }
}

void sc_reduce32(unsigned char *s) {
    int64_t s0 = 2097151 & load_3(s);
    int64_t s1 = 2097151 & (load_4(s + 2) >> 5);
    int64_t s2 = 2097151 & (load_3(s + 5) >> 2);
    int64_t s3 = 2097151 & (load_4(s + 7) >> 7);
    int64_t s4 = 2097151 & (load_4(s + 10) >> 4);
    int64_t s5 = 2097151 & (load_3(s + 13) >> 1);
    int64_t s6 = 2097151 & (load_4(s + 15) >> 6);
    int64_t s7 = 2097151 & (load_3(s + 18) >> 3);
    int64_t s8 = 2097151 & load_3(s + 21);
    int64_t s9 = 2097151 & (load_4(s + 23) >> 5);
    int64_t s10 = 2097151 & (load_3(s + 26) >> 2);
    int64_t s11 = (load_4(s + 28) >> 7);
    int64_t s12 = 0;
    int64_t carry0;
    int64_t carry1;
    int64_t carry2;
    int64_t carry3;
    int64_t carry4;
    int64_t carry5;
    int64_t carry6;
    int64_t carry7;
    int64_t carry8;
    int64_t carry9;
    int64_t carry10;
    int64_t carry11;

    carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21;
    carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21;
    carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21;
    carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21;
    carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21;
    carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21;

    carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21;
    carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21;
    carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21;
    carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21;
    carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21;
    carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21;

    s0 += s12 * 666643;
    s1 += s12 * 470296;
    s2 += s12 * 654183;
    s3 -= s12 * 997805;
    s4 += s12 * 136657;
    s5 -= s12 * 683901;
    s12 = 0;

    carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21;
    carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21;
    carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21;
    carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21;
    carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21;
    carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21;
    carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21;
    carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21;
    carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21;
    carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21;
    carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21;
    carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 21;

    s0 += s12 * 666643;
    s1 += s12 * 470296;
    s2 += s12 * 654183;
    s3 -= s12 * 997805;
    s4 += s12 * 136657;
    s5 -= s12 * 683901;

    carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21;
    carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21;
    carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21;
    carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21;
    carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21;
    carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21;
    carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21;
    carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21;
    carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21;
    carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21;
    carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21;

    s[0] = s0 >> 0;
    s[1] = s0 >> 8;
    s[2] = (s0 >> 16) | (s1 << 5);
    s[3] = s1 >> 3;
    s[4] = s1 >> 11;
    s[5] = (s1 >> 19) | (s2 << 2);
    s[6] = s2 >> 6;
    s[7] = (s2 >> 14) | (s3 << 7);
    s[8] = s3 >> 1;
    s[9] = s3 >> 9;
    s[10] = (s3 >> 17) | (s4 << 4);
    s[11] = s4 >> 4;
    s[12] = s4 >> 12;
    s[13] = (s4 >> 20) | (s5 << 1);
    s[14] = s5 >> 7;
    s[15] = (s5 >> 15) | (s6 << 6);
    s[16] = s6 >> 2;
    s[17] = s6 >> 10;
    s[18] = (s6 >> 18) | (s7 << 3);
    s[19] = s7 >> 5;
    s[20] = s7 >> 13;
    s[21] = s8 >> 0;
    s[22] = s8 >> 8;
    s[23] = (s8 >> 16) | (s9 << 5);
    s[24] = s9 >> 3;
    s[25] = s9 >> 11;
    s[26] = (s9 >> 19) | (s10 << 2);
    s[27] = s10 >> 6;
    s[28] = (s10 >> 14) | (s11 << 7);
    s[29] = s11 >> 1;
    s[30] = s11 >> 9;
    s[31] = s11 >> 17;
}

void sc_add(unsigned char *s, const unsigned char *a, const unsigned char *b) {
    int64_t a0 = 2097151 & load_3(a);
    int64_t a1 = 2097151 & (load_4(a + 2) >> 5);
    int64_t a2 = 2097151 & (load_3(a + 5) >> 2);
    int64_t a3 = 2097151 & (load_4(a + 7) >> 7);
    int64_t a4 = 2097151 & (load_4(a + 10) >> 4);
    int64_t a5 = 2097151 & (load_3(a + 13) >> 1);
    int64_t a6 = 2097151 & (load_4(a + 15) >> 6);
    int64_t a7 = 2097151 & (load_3(a + 18) >> 3);
    int64_t a8 = 2097151 & load_3(a + 21);
    int64_t a9 = 2097151 & (load_4(a + 23) >> 5);
    int64_t a10 = 2097151 & (load_3(a + 26) >> 2);
    int64_t a11 = (load_4(a + 28) >> 7);
    int64_t b0 = 2097151 & load_3(b);
    int64_t b1 = 2097151 & (load_4(b + 2) >> 5);
    int64_t b2 = 2097151 & (load_3(b + 5) >> 2);
    int64_t b3 = 2097151 & (load_4(b + 7) >> 7);
    int64_t b4 = 2097151 & (load_4(b + 10) >> 4);
    int64_t b5 = 2097151 & (load_3(b + 13) >> 1);
    int64_t b6 = 2097151 & (load_4(b + 15) >> 6);
    int64_t b7 = 2097151 & (load_3(b + 18) >> 3);
    int64_t b8 = 2097151 & load_3(b + 21);
    int64_t b9 = 2097151 & (load_4(b + 23) >> 5);
    int64_t b10 = 2097151 & (load_3(b + 26) >> 2);
    int64_t b11 = (load_4(b + 28) >> 7);
    int64_t s0 = a0 + b0;
    int64_t s1 = a1 + b1;
    int64_t s2 = a2 + b2;
    int64_t s3 = a3 + b3;
    int64_t s4 = a4 + b4;
    int64_t s5 = a5 + b5;
    int64_t s6 = a6 + b6;
    int64_t s7 = a7 + b7;
    int64_t s8 = a8 + b8;
    int64_t s9 = a9 + b9;
    int64_t s10 = a10 + b10;
    int64_t s11 = a11 + b11;
    int64_t s12 = 0;
    int64_t carry0;
    int64_t carry1;
    int64_t carry2;
    int64_t carry3;
    int64_t carry4;
    int64_t carry5;
    int64_t carry6;
    int64_t carry7;
    int64_t carry8;
    int64_t carry9;
    int64_t carry10;
    int64_t carry11;

    carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21;
    carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21;
    carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21;
    carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21;
    carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21;
    carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21;

    carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21;
    carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21;
    carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21;
    carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21;
    carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21;
    carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21;

    s0 += s12 * 666643;
    s1 += s12 * 470296;
    s2 += s12 * 654183;
    s3 -= s12 * 997805;
    s4 += s12 * 136657;
    s5 -= s12 * 683901;
    s12 = 0;

    carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21;
    carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21;
    carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21;
    carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21;
    carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21;
    carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21;
    carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21;
    carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21;
    carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21;
    carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21;
    carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21;
    carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 21;

    s0 += s12 * 666643;
    s1 += s12 * 470296;
    s2 += s12 * 654183;
    s3 -= s12 * 997805;
    s4 += s12 * 136657;
    s5 -= s12 * 683901;

    carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21;
    carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21;
    carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21;
    carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21;
    carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21;
    carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21;
    carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21;
    carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21;
    carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21;
    carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21;
    carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21;

    s[0] = s0 >> 0;
    s[1] = s0 >> 8;
    s[2] = (s0 >> 16) | (s1 << 5);
    s[3] = s1 >> 3;
    s[4] = s1 >> 11;
    s[5] = (s1 >> 19) | (s2 << 2);
    s[6] = s2 >> 6;
    s[7] = (s2 >> 14) | (s3 << 7);
    s[8] = s3 >> 1;
    s[9] = s3 >> 9;
    s[10] = (s3 >> 17) | (s4 << 4);
    s[11] = s4 >> 4;
    s[12] = s4 >> 12;
    s[13] = (s4 >> 20) | (s5 << 1);
    s[14] = s5 >> 7;
    s[15] = (s5 >> 15) | (s6 << 6);
    s[16] = s6 >> 2;
    s[17] = s6 >> 10;
    s[18] = (s6 >> 18) | (s7 << 3);
    s[19] = s7 >> 5;
    s[20] = s7 >> 13;
    s[21] = s8 >> 0;
    s[22] = s8 >> 8;
    s[23] = (s8 >> 16) | (s9 << 5);
    s[24] = s9 >> 3;
    s[25] = s9 >> 11;
    s[26] = (s9 >> 19) | (s10 << 2);
    s[27] = s10 >> 6;
    s[28] = (s10 >> 14) | (s11 << 7);
    s[29] = s11 >> 1;
    s[30] = s11 >> 9;
    s[31] = s11 >> 17;
}

void sc_sub(unsigned char *s, const unsigned char *a, const unsigned char *b) {
    int64_t a0 = 2097151 & load_3(a);
    int64_t a1 = 2097151 & (load_4(a + 2) >> 5);
    int64_t a2 = 2097151 & (load_3(a + 5) >> 2);
    int64_t a3 = 2097151 & (load_4(a + 7) >> 7);
    int64_t a4 = 2097151 & (load_4(a + 10) >> 4);
    int64_t a5 = 2097151 & (load_3(a + 13) >> 1);
    int64_t a6 = 2097151 & (load_4(a + 15) >> 6);
    int64_t a7 = 2097151 & (load_3(a + 18) >> 3);
    int64_t a8 = 2097151 & load_3(a + 21);
    int64_t a9 = 2097151 & (load_4(a + 23) >> 5);
    int64_t a10 = 2097151 & (load_3(a + 26) >> 2);
    int64_t a11 = (load_4(a + 28) >> 7);
    int64_t b0 = 2097151 & load_3(b);
    int64_t b1 = 2097151 & (load_4(b + 2) >> 5);
    int64_t b2 = 2097151 & (load_3(b + 5) >> 2);
    int64_t b3 = 2097151 & (load_4(b + 7) >> 7);
    int64_t b4 = 2097151 & (load_4(b + 10) >> 4);
    int64_t b5 = 2097151 & (load_3(b + 13) >> 1);
    int64_t b6 = 2097151 & (load_4(b + 15) >> 6);
    int64_t b7 = 2097151 & (load_3(b + 18) >> 3);
    int64_t b8 = 2097151 & load_3(b + 21);
    int64_t b9 = 2097151 & (load_4(b + 23) >> 5);
    int64_t b10 = 2097151 & (load_3(b + 26) >> 2);
    int64_t b11 = (load_4(b + 28) >> 7);
    int64_t s0 = a0 - b0;
    int64_t s1 = a1 - b1;
    int64_t s2 = a2 - b2;
    int64_t s3 = a3 - b3;
    int64_t s4 = a4 - b4;
    int64_t s5 = a5 - b5;
    int64_t s6 = a6 - b6;
    int64_t s7 = a7 - b7;
    int64_t s8 = a8 - b8;
    int64_t s9 = a9 - b9;
    int64_t s10 = a10 - b10;
    int64_t s11 = a11 - b11;
    int64_t s12 = 0;
    int64_t carry0;
    int64_t carry1;
    int64_t carry2;
    int64_t carry3;
    int64_t carry4;
    int64_t carry5;
    int64_t carry6;
    int64_t carry7;
    int64_t carry8;
    int64_t carry9;
    int64_t carry10;
    int64_t carry11;

    carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21;
    carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21;
    carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21;
    carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21;
    carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21;
    carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21;

    carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21;
    carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21;
    carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21;
    carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21;
    carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21;
    carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21;

    s0 += s12 * 666643;
    s1 += s12 * 470296;
    s2 += s12 * 654183;
    s3 -= s12 * 997805;
    s4 += s12 * 136657;
    s5 -= s12 * 683901;
    s12 = 0;

    carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21;
    carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21;
    carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21;
    carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21;
    carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21;
    carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21;
    carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21;
    carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21;
    carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21;
    carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21;
    carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21;
    carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 21;

    s0 += s12 * 666643;
    s1 += s12 * 470296;
    s2 += s12 * 654183;
    s3 -= s12 * 997805;
    s4 += s12 * 136657;
    s5 -= s12 * 683901;

    carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21;
    carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21;
    carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21;
    carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21;
    carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21;
    carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21;
    carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21;
    carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21;
    carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21;
    carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21;
    carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21;

    s[0] = s0 >> 0;
    s[1] = s0 >> 8;
    s[2] = (s0 >> 16) | (s1 << 5);
    s[3] = s1 >> 3;
    s[4] = s1 >> 11;
    s[5] = (s1 >> 19) | (s2 << 2);
    s[6] = s2 >> 6;
    s[7] = (s2 >> 14) | (s3 << 7);
    s[8] = s3 >> 1;
    s[9] = s3 >> 9;
    s[10] = (s3 >> 17) | (s4 << 4);
    s[11] = s4 >> 4;
    s[12] = s4 >> 12;
    s[13] = (s4 >> 20) | (s5 << 1);
    s[14] = s5 >> 7;
    s[15] = (s5 >> 15) | (s6 << 6);
    s[16] = s6 >> 2;
    s[17] = s6 >> 10;
    s[18] = (s6 >> 18) | (s7 << 3);
    s[19] = s7 >> 5;
    s[20] = s7 >> 13;
    s[21] = s8 >> 0;
    s[22] = s8 >> 8;
    s[23] = (s8 >> 16) | (s9 << 5);
    s[24] = s9 >> 3;
    s[25] = s9 >> 11;
    s[26] = (s9 >> 19) | (s10 << 2);
    s[27] = s10 >> 6;
    s[28] = (s10 >> 14) | (s11 << 7);
    s[29] = s11 >> 1;
    s[30] = s11 >> 9;
    s[31] = s11 >> 17;
}

/*
Input:
  a[0]+256*a[1]+...+256^31*a[31] = a
  b[0]+256*b[1]+...+256^31*b[31] = b
  c[0]+256*c[1]+...+256^31*c[31] = c

Output:
  s[0]+256*s[1]+...+256^31*s[31] = (c-ab) mod l
  where l = 2^252 + 27742317777372353535851937790883648493.
*/

void sc_mulsub(unsigned char *s, const unsigned char *a, const unsigned char *b, const unsigned char *c) {
    int64_t a0 = 2097151 & load_3(a);
    int64_t a1 = 2097151 & (load_4(a + 2) >> 5);
    int64_t a2 = 2097151 & (load_3(a + 5) >> 2);
    int64_t a3 = 2097151 & (load_4(a + 7) >> 7);
    int64_t a4 = 2097151 & (load_4(a + 10) >> 4);
    int64_t a5 = 2097151 & (load_3(a + 13) >> 1);
    int64_t a6 = 2097151 & (load_4(a + 15) >> 6);
    int64_t a7 = 2097151 & (load_3(a + 18) >> 3);
    int64_t a8 = 2097151 & load_3(a + 21);
    int64_t a9 = 2097151 & (load_4(a + 23) >> 5);
    int64_t a10 = 2097151 & (load_3(a + 26) >> 2);
    int64_t a11 = (load_4(a + 28) >> 7);
    int64_t b0 = 2097151 & load_3(b);
    int64_t b1 = 2097151 & (load_4(b + 2) >> 5);
    int64_t b2 = 2097151 & (load_3(b + 5) >> 2);
    int64_t b3 = 2097151 & (load_4(b + 7) >> 7);
    int64_t b4 = 2097151 & (load_4(b + 10) >> 4);
    int64_t b5 = 2097151 & (load_3(b + 13) >> 1);
    int64_t b6 = 2097151 & (load_4(b + 15) >> 6);
    int64_t b7 = 2097151 & (load_3(b + 18) >> 3);
    int64_t b8 = 2097151 & load_3(b + 21);
    int64_t b9 = 2097151 & (load_4(b + 23) >> 5);
    int64_t b10 = 2097151 & (load_3(b + 26) >> 2);
    int64_t b11 = (load_4(b + 28) >> 7);
    int64_t c0 = 2097151 & load_3(c);
    int64_t c1 = 2097151 & (load_4(c + 2) >> 5);
    int64_t c2 = 2097151 & (load_3(c + 5) >> 2);
    int64_t c3 = 2097151 & (load_4(c + 7) >> 7);
    int64_t c4 = 2097151 & (load_4(c + 10) >> 4);
    int64_t c5 = 2097151 & (load_3(c + 13) >> 1);
    int64_t c6 = 2097151 & (load_4(c + 15) >> 6);
    int64_t c7 = 2097151 & (load_3(c + 18) >> 3);
    int64_t c8 = 2097151 & load_3(c + 21);
    int64_t c9 = 2097151 & (load_4(c + 23) >> 5);
    int64_t c10 = 2097151 & (load_3(c + 26) >> 2);
    int64_t c11 = (load_4(c + 28) >> 7);
    int64_t s0;
    int64_t s1;
    int64_t s2;
    int64_t s3;
    int64_t s4;
    int64_t s5;
    int64_t s6;
    int64_t s7;
    int64_t s8;
    int64_t s9;
    int64_t s10;
    int64_t s11;
    int64_t s12;
    int64_t s13;
    int64_t s14;
    int64_t s15;
    int64_t s16;
    int64_t s17;
    int64_t s18;
    int64_t s19;
    int64_t s20;
    int64_t s21;
    int64_t s22;
    int64_t s23;
    int64_t carry0;
    int64_t carry1;
    int64_t carry2;
    int64_t carry3;
    int64_t carry4;
    int64_t carry5;
    int64_t carry6;
    int64_t carry7;
    int64_t carry8;
    int64_t carry9;
    int64_t carry10;
    int64_t carry11;
    int64_t carry12;
    int64_t carry13;
    int64_t carry14;
    int64_t carry15;
    int64_t carry16;
    int64_t carry17;
    int64_t carry18;
    int64_t carry19;
    int64_t carry20;
    int64_t carry21;
    int64_t carry22;

    s0 = c0 - a0*b0;
    s1 = c1 - (a0*b1 + a1*b0);
    s2 = c2 - (a0*b2 + a1*b1 + a2*b0);
    s3 = c3 - (a0*b3 + a1*b2 + a2*b1 + a3*b0);
    s4 = c4 - (a0*b4 + a1*b3 + a2*b2 + a3*b1 + a4*b0);
    s5 = c5 - (a0*b5 + a1*b4 + a2*b3 + a3*b2 + a4*b1 + a5*b0);
    s6 = c6 - (a0*b6 + a1*b5 + a2*b4 + a3*b3 + a4*b2 + a5*b1 + a6*b0);
    s7 = c7 - (a0*b7 + a1*b6 + a2*b5 + a3*b4 + a4*b3 + a5*b2 + a6*b1 + a7*b0);
    s8 = c8 - (a0*b8 + a1*b7 + a2*b6 + a3*b5 + a4*b4 + a5*b3 + a6*b2 + a7*b1 + a8*b0);
    s9 = c9 - (a0*b9 + a1*b8 + a2*b7 + a3*b6 + a4*b5 + a5*b4 + a6*b3 + a7*b2 + a8*b1 + a9*b0);
    s10 = c10 - (a0*b10 + a1*b9 + a2*b8 + a3*b7 + a4*b6 + a5*b5 + a6*b4 + a7*b3 + a8*b2 + a9*b1 + a10*b0);
    s11 = c11 - (a0*b11 + a1*b10 + a2*b9 + a3*b8 + a4*b7 + a5*b6 + a6*b5 + a7*b4 + a8*b3 + a9*b2 + a10*b1 + a11*b0);
    s12 = -(a1*b11 + a2*b10 + a3*b9 + a4*b8 + a5*b7 + a6*b6 + a7*b5 + a8*b4 + a9*b3 + a10*b2 + a11*b1);
    s13 = -(a2*b11 + a3*b10 + a4*b9 + a5*b8 + a6*b7 + a7*b6 + a8*b5 + a9*b4 + a10*b3 + a11*b2);
    s14 = -(a3*b11 + a4*b10 + a5*b9 + a6*b8 + a7*b7 + a8*b6 + a9*b5 + a10*b4 + a11*b3);
    s15 = -(a4*b11 + a5*b10 + a6*b9 + a7*b8 + a8*b7 + a9*b6 + a10*b5 + a11*b4);
    s16 = -(a5*b11 + a6*b10 + a7*b9 + a8*b8 + a9*b7 + a10*b6 + a11*b5);
    s17 = -(a6*b11 + a7*b10 + a8*b9 + a9*b8 + a10*b7 + a11*b6);
    s18 = -(a7*b11 + a8*b10 + a9*b9 + a10*b8 + a11*b7);
    s19 = -(a8*b11 + a9*b10 + a10*b9 + a11*b8);
    s20 = -(a9*b11 + a10*b10 + a11*b9);
    s21 = -(a10*b11 + a11*b10);
    s22 = -a11*b11;
    s23 = 0;

    carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21;
    carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21;
    carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21;
    carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21;
    carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21;
    carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21;
    carry12 = (s12 + (1<<20)) >> 21; s13 += carry12; s12 -= carry12 << 21;
    carry14 = (s14 + (1<<20)) >> 21; s15 += carry14; s14 -= carry14 << 21;
    carry16 = (s16 + (1<<20)) >> 21; s17 += carry16; s16 -= carry16 << 21;
    carry18 = (s18 + (1<<20)) >> 21; s19 += carry18; s18 -= carry18 << 21;
    carry20 = (s20 + (1<<20)) >> 21; s21 += carry20; s20 -= carry20 << 21;
    carry22 = (s22 + (1<<20)) >> 21; s23 += carry22; s22 -= carry22 << 21;

    carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21;
    carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21;
    carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21;
    carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21;
    carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21;
    carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21;
    carry13 = (s13 + (1<<20)) >> 21; s14 += carry13; s13 -= carry13 << 21;
    carry15 = (s15 + (1<<20)) >> 21; s16 += carry15; s15 -= carry15 << 21;
    carry17 = (s17 + (1<<20)) >> 21; s18 += carry17; s17 -= carry17 << 21;
    carry19 = (s19 + (1<<20)) >> 21; s20 += carry19; s19 -= carry19 << 21;
    carry21 = (s21 + (1<<20)) >> 21; s22 += carry21; s21 -= carry21 << 21;

    s11 += s23 * 666643;
    s12 += s23 * 470296;
    s13 += s23 * 654183;
    s14 -= s23 * 997805;
    s15 += s23 * 136657;
    s16 -= s23 * 683901;

    s10 += s22 * 666643;
    s11 += s22 * 470296;
    s12 += s22 * 654183;
    s13 -= s22 * 997805;
    s14 += s22 * 136657;
    s15 -= s22 * 683901;

    s9 += s21 * 666643;
    s10 += s21 * 470296;
    s11 += s21 * 654183;
    s12 -= s21 * 997805;
    s13 += s21 * 136657;
    s14 -= s21 * 683901;

    s8 += s20 * 666643;
    s9 += s20 * 470296;
    s10 += s20 * 654183;
    s11 -= s20 * 997805;
    s12 += s20 * 136657;
    s13 -= s20 * 683901;

    s7 += s19 * 666643;
    s8 += s19 * 470296;
    s9 += s19 * 654183;
    s10 -= s19 * 997805;
    s11 += s19 * 136657;
    s12 -= s19 * 683901;

    s6 += s18 * 666643;
    s7 += s18 * 470296;
    s8 += s18 * 654183;
    s9 -= s18 * 997805;
    s10 += s18 * 136657;
    s11 -= s18 * 683901;

    carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21;
    carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21;
    carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21;
    carry12 = (s12 + (1<<20)) >> 21; s13 += carry12; s12 -= carry12 << 21;
    carry14 = (s14 + (1<<20)) >> 21; s15 += carry14; s14 -= carry14 << 21;
    carry16 = (s16 + (1<<20)) >> 21; s17 += carry16; s16 -= carry16 << 21;

    carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21;
    carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21;
    carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21;
    carry13 = (s13 + (1<<20)) >> 21; s14 += carry13; s13 -= carry13 << 21;
    carry15 = (s15 + (1<<20)) >> 21; s16 += carry15; s15 -= carry15 << 21;

    s5 += s17 * 666643;
    s6 += s17 * 470296;
    s7 += s17 * 654183;
    s8 -= s17 * 997805;
    s9 += s17 * 136657;
    s10 -= s17 * 683901;

    s4 += s16 * 666643;
    s5 += s16 * 470296;
    s6 += s16 * 654183;
    s7 -= s16 * 997805;
    s8 += s16 * 136657;
    s9 -= s16 * 683901;

    s3 += s15 * 666643;
    s4 += s15 * 470296;
    s5 += s15 * 654183;
    s6 -= s15 * 997805;
    s7 += s15 * 136657;
    s8 -= s15 * 683901;

    s2 += s14 * 666643;
    s3 += s14 * 470296;
    s4 += s14 * 654183;
    s5 -= s14 * 997805;
    s6 += s14 * 136657;
    s7 -= s14 * 683901;

    s1 += s13 * 666643;
    s2 += s13 * 470296;
    s3 += s13 * 654183;
    s4 -= s13 * 997805;
    s5 += s13 * 136657;
    s6 -= s13 * 683901;

    s0 += s12 * 666643;
    s1 += s12 * 470296;
    s2 += s12 * 654183;
    s3 -= s12 * 997805;
    s4 += s12 * 136657;
    s5 -= s12 * 683901;
    s12 = 0;

    carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21;
    carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21;
    carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21;
    carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21;
    carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21;
    carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21;

    carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21;
    carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21;
    carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21;
    carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21;
    carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21;
    carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21;

    s0 += s12 * 666643;
    s1 += s12 * 470296;
    s2 += s12 * 654183;
    s3 -= s12 * 997805;
    s4 += s12 * 136657;
    s5 -= s12 * 683901;
    s12 = 0;

    carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21;
    carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21;
    carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21;
    carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21;
    carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21;
    carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21;
    carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21;
    carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21;
    carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21;
    carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21;
    carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21;
    carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 21;

    s0 += s12 * 666643;
    s1 += s12 * 470296;
    s2 += s12 * 654183;
    s3 -= s12 * 997805;
    s4 += s12 * 136657;
    s5 -= s12 * 683901;

    carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21;
    carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21;
    carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21;
    carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21;
    carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21;
    carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21;
    carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21;
    carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21;
    carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21;
    carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21;
    carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21;

    s[0] = s0 >> 0;
    s[1] = s0 >> 8;
    s[2] = (s0 >> 16) | (s1 << 5);
    s[3] = s1 >> 3;
    s[4] = s1 >> 11;
    s[5] = (s1 >> 19) | (s2 << 2);
    s[6] = s2 >> 6;
    s[7] = (s2 >> 14) | (s3 << 7);
    s[8] = s3 >> 1;
    s[9] = s3 >> 9;
    s[10] = (s3 >> 17) | (s4 << 4);
    s[11] = s4 >> 4;
    s[12] = s4 >> 12;
    s[13] = (s4 >> 20) | (s5 << 1);
    s[14] = s5 >> 7;
    s[15] = (s5 >> 15) | (s6 << 6);
    s[16] = s6 >> 2;
    s[17] = s6 >> 10;
    s[18] = (s6 >> 18) | (s7 << 3);
    s[19] = s7 >> 5;
    s[20] = s7 >> 13;
    s[21] = s8 >> 0;
    s[22] = s8 >> 8;
    s[23] = (s8 >> 16) | (s9 << 5);
    s[24] = s9 >> 3;
    s[25] = s9 >> 11;
    s[26] = (s9 >> 19) | (s10 << 2);
    s[27] = s10 >> 6;
    s[28] = (s10 >> 14) | (s11 << 7);
    s[29] = s11 >> 1;
    s[30] = s11 >> 9;
    s[31] = s11 >> 17;
}

//copied from above and modified
/*
Input:
  a[0]+256*a[1]+...+256^31*a[31] = a
  b[0]+256*b[1]+...+256^31*b[31] = b

Output:
  s[0]+256*s[1]+...+256^31*s[31] = (ab) mod l
  where l = 2^252 + 27742317777372353535851937790883648493.
*/
void sc_mul(unsigned char *s, const unsigned char *a, const unsigned char *b) {
    int64_t a0 = 2097151 & load_3(a);
    int64_t a1 = 2097151 & (load_4(a + 2) >> 5);
    int64_t a2 = 2097151 & (load_3(a + 5) >> 2);
    int64_t a3 = 2097151 & (load_4(a + 7) >> 7);
    int64_t a4 = 2097151 & (load_4(a + 10) >> 4);
    int64_t a5 = 2097151 & (load_3(a + 13) >> 1);
    int64_t a6 = 2097151 & (load_4(a + 15) >> 6);
    int64_t a7 = 2097151 & (load_3(a + 18) >> 3);
    int64_t a8 = 2097151 & load_3(a + 21);
    int64_t a9 = 2097151 & (load_4(a + 23) >> 5);
    int64_t a10 = 2097151 & (load_3(a + 26) >> 2);
    int64_t a11 = (load_4(a + 28) >> 7);
    int64_t b0 = 2097151 & load_3(b);
    int64_t b1 = 2097151 & (load_4(b + 2) >> 5);
    int64_t b2 = 2097151 & (load_3(b + 5) >> 2);
    int64_t b3 = 2097151 & (load_4(b + 7) >> 7);
    int64_t b4 = 2097151 & (load_4(b + 10) >> 4);
    int64_t b5 = 2097151 & (load_3(b + 13) >> 1);
    int64_t b6 = 2097151 & (load_4(b + 15) >> 6);
    int64_t b7 = 2097151 & (load_3(b + 18) >> 3);
    int64_t b8 = 2097151 & load_3(b + 21);
    int64_t b9 = 2097151 & (load_4(b + 23) >> 5);
    int64_t b10 = 2097151 & (load_3(b + 26) >> 2);
    int64_t b11 = (load_4(b + 28) >> 7);
    int64_t s0;
    int64_t s1;
    int64_t s2;
    int64_t s3;
    int64_t s4;
    int64_t s5;
    int64_t s6;
    int64_t s7;
    int64_t s8;
    int64_t s9;
    int64_t s10;
    int64_t s11;
    int64_t s12;
    int64_t s13;
    int64_t s14;
    int64_t s15;
    int64_t s16;
    int64_t s17;
    int64_t s18;
    int64_t s19;
    int64_t s20;
    int64_t s21;
    int64_t s22;
    int64_t s23;
    int64_t carry0;
    int64_t carry1;
    int64_t carry2;
    int64_t carry3;
    int64_t carry4;
    int64_t carry5;
    int64_t carry6;
    int64_t carry7;
    int64_t carry8;
    int64_t carry9;
    int64_t carry10;
    int64_t carry11;
    int64_t carry12;
    int64_t carry13;
    int64_t carry14;
    int64_t carry15;
    int64_t carry16;
    int64_t carry17;
    int64_t carry18;
    int64_t carry19;
    int64_t carry20;
    int64_t carry21;
    int64_t carry22;

    s0 = a0*b0;
    s1 = (a0*b1 + a1*b0);
    s2 = (a0*b2 + a1*b1 + a2*b0);
    s3 = (a0*b3 + a1*b2 + a2*b1 + a3*b0);
    s4 = (a0*b4 + a1*b3 + a2*b2 + a3*b1 + a4*b0);
    s5 = (a0*b5 + a1*b4 + a2*b3 + a3*b2 + a4*b1 + a5*b0);
    s6 = (a0*b6 + a1*b5 + a2*b4 + a3*b3 + a4*b2 + a5*b1 + a6*b0);
    s7 = (a0*b7 + a1*b6 + a2*b5 + a3*b4 + a4*b3 + a5*b2 + a6*b1 + a7*b0);
    s8 = (a0*b8 + a1*b7 + a2*b6 + a3*b5 + a4*b4 + a5*b3 + a6*b2 + a7*b1 + a8*b0);
    s9 = (a0*b9 + a1*b8 + a2*b7 + a3*b6 + a4*b5 + a5*b4 + a6*b3 + a7*b2 + a8*b1 + a9*b0);
    s10 = (a0*b10 + a1*b9 + a2*b8 + a3*b7 + a4*b6 + a5*b5 + a6*b4 + a7*b3 + a8*b2 + a9*b1 + a10*b0);
    s11 = (a0*b11 + a1*b10 + a2*b9 + a3*b8 + a4*b7 + a5*b6 + a6*b5 + a7*b4 + a8*b3 + a9*b2 + a10*b1 + a11*b0);
    s12 = (a1*b11 + a2*b10 + a3*b9 + a4*b8 + a5*b7 + a6*b6 + a7*b5 + a8*b4 + a9*b3 + a10*b2 + a11*b1);
    s13 = (a2*b11 + a3*b10 + a4*b9 + a5*b8 + a6*b7 + a7*b6 + a8*b5 + a9*b4 + a10*b3 + a11*b2);
    s14 = (a3*b11 + a4*b10 + a5*b9 + a6*b8 + a7*b7 + a8*b6 + a9*b5 + a10*b4 + a11*b3);
    s15 = (a4*b11 + a5*b10 + a6*b9 + a7*b8 + a8*b7 + a9*b6 + a10*b5 + a11*b4);
    s16 = (a5*b11 + a6*b10 + a7*b9 + a8*b8 + a9*b7 + a10*b6 + a11*b5);
    s17 = (a6*b11 + a7*b10 + a8*b9 + a9*b8 + a10*b7 + a11*b6);
    s18 = (a7*b11 + a8*b10 + a9*b9 + a10*b8 + a11*b7);
    s19 = (a8*b11 + a9*b10 + a10*b9 + a11*b8);
    s20 = (a9*b11 + a10*b10 + a11*b9);
    s21 = (a10*b11 + a11*b10);
    s22 = a11*b11;
    s23 = 0;

    carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21;
    carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21;
    carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21;
    carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21;
    carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21;
    carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21;
    carry12 = (s12 + (1<<20)) >> 21; s13 += carry12; s12 -= carry12 << 21;
    carry14 = (s14 + (1<<20)) >> 21; s15 += carry14; s14 -= carry14 << 21;
    carry16 = (s16 + (1<<20)) >> 21; s17 += carry16; s16 -= carry16 << 21;
    carry18 = (s18 + (1<<20)) >> 21; s19 += carry18; s18 -= carry18 << 21;
    carry20 = (s20 + (1<<20)) >> 21; s21 += carry20; s20 -= carry20 << 21;
    carry22 = (s22 + (1<<20)) >> 21; s23 += carry22; s22 -= carry22 << 21;

    carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21;
    carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21;
    carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21;
    carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21;
    carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21;
    carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21;
    carry13 = (s13 + (1<<20)) >> 21; s14 += carry13; s13 -= carry13 << 21;
    carry15 = (s15 + (1<<20)) >> 21; s16 += carry15; s15 -= carry15 << 21;
    carry17 = (s17 + (1<<20)) >> 21; s18 += carry17; s17 -= carry17 << 21;
    carry19 = (s19 + (1<<20)) >> 21; s20 += carry19; s19 -= carry19 << 21;
    carry21 = (s21 + (1<<20)) >> 21; s22 += carry21; s21 -= carry21 << 21;

    s11 += s23 * 666643;
    s12 += s23 * 470296;
    s13 += s23 * 654183;
    s14 -= s23 * 997805;
    s15 += s23 * 136657;
    s16 -= s23 * 683901;

    s10 += s22 * 666643;
    s11 += s22 * 470296;
    s12 += s22 * 654183;
    s13 -= s22 * 997805;
    s14 += s22 * 136657;
    s15 -= s22 * 683901;

    s9 += s21 * 666643;
    s10 += s21 * 470296;
    s11 += s21 * 654183;
    s12 -= s21 * 997805;
    s13 += s21 * 136657;
    s14 -= s21 * 683901;

    s8 += s20 * 666643;
    s9 += s20 * 470296;
    s10 += s20 * 654183;
    s11 -= s20 * 997805;
    s12 += s20 * 136657;
    s13 -= s20 * 683901;

    s7 += s19 * 666643;
    s8 += s19 * 470296;
    s9 += s19 * 654183;
    s10 -= s19 * 997805;
    s11 += s19 * 136657;
    s12 -= s19 * 683901;

    s6 += s18 * 666643;
    s7 += s18 * 470296;
    s8 += s18 * 654183;
    s9 -= s18 * 997805;
    s10 += s18 * 136657;
    s11 -= s18 * 683901;

    carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21;
    carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21;
    carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21;
    carry12 = (s12 + (1<<20)) >> 21; s13 += carry12; s12 -= carry12 << 21;
    carry14 = (s14 + (1<<20)) >> 21; s15 += carry14; s14 -= carry14 << 21;
    carry16 = (s16 + (1<<20)) >> 21; s17 += carry16; s16 -= carry16 << 21;

    carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21;
    carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21;
    carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21;
    carry13 = (s13 + (1<<20)) >> 21; s14 += carry13; s13 -= carry13 << 21;
    carry15 = (s15 + (1<<20)) >> 21; s16 += carry15; s15 -= carry15 << 21;

    s5 += s17 * 666643;
    s6 += s17 * 470296;
    s7 += s17 * 654183;
    s8 -= s17 * 997805;
    s9 += s17 * 136657;
    s10 -= s17 * 683901;

    s4 += s16 * 666643;
    s5 += s16 * 470296;
    s6 += s16 * 654183;
    s7 -= s16 * 997805;
    s8 += s16 * 136657;
    s9 -= s16 * 683901;

    s3 += s15 * 666643;
    s4 += s15 * 470296;
    s5 += s15 * 654183;
    s6 -= s15 * 997805;
    s7 += s15 * 136657;
    s8 -= s15 * 683901;

    s2 += s14 * 666643;
    s3 += s14 * 470296;
    s4 += s14 * 654183;
    s5 -= s14 * 997805;
    s6 += s14 * 136657;
    s7 -= s14 * 683901;

    s1 += s13 * 666643;
    s2 += s13 * 470296;
    s3 += s13 * 654183;
    s4 -= s13 * 997805;
    s5 += s13 * 136657;
    s6 -= s13 * 683901;

    s0 += s12 * 666643;
    s1 += s12 * 470296;
    s2 += s12 * 654183;
    s3 -= s12 * 997805;
    s4 += s12 * 136657;
    s5 -= s12 * 683901;
    s12 = 0;

    carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21;
    carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21;
    carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21;
    carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21;
    carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21;
    carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21;

    carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21;
    carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21;
    carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21;
    carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21;
    carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21;
    carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21;

    s0 += s12 * 666643;
    s1 += s12 * 470296;
    s2 += s12 * 654183;
    s3 -= s12 * 997805;
    s4 += s12 * 136657;
    s5 -= s12 * 683901;
    s12 = 0;

    carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21;
    carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21;
    carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21;
    carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21;
    carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21;
    carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21;
    carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21;
    carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21;
    carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21;
    carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21;
    carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21;
    carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 21;

    s0 += s12 * 666643;
    s1 += s12 * 470296;
    s2 += s12 * 654183;
    s3 -= s12 * 997805;
    s4 += s12 * 136657;
    s5 -= s12 * 683901;

    carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21;
    carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21;
    carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21;
    carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21;
    carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21;
    carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21;
    carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21;
    carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21;
    carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21;
    carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21;
    carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21;

    s[0] = s0 >> 0;
    s[1] = s0 >> 8;
    s[2] = (s0 >> 16) | (s1 << 5);
    s[3] = s1 >> 3;
    s[4] = s1 >> 11;
    s[5] = (s1 >> 19) | (s2 << 2);
    s[6] = s2 >> 6;
    s[7] = (s2 >> 14) | (s3 << 7);
    s[8] = s3 >> 1;
    s[9] = s3 >> 9;
    s[10] = (s3 >> 17) | (s4 << 4);
    s[11] = s4 >> 4;
    s[12] = s4 >> 12;
    s[13] = (s4 >> 20) | (s5 << 1);
    s[14] = s5 >> 7;
    s[15] = (s5 >> 15) | (s6 << 6);
    s[16] = s6 >> 2;
    s[17] = s6 >> 10;
    s[18] = (s6 >> 18) | (s7 << 3);
    s[19] = s7 >> 5;
    s[20] = s7 >> 13;
    s[21] = s8 >> 0;
    s[22] = s8 >> 8;
    s[23] = (s8 >> 16) | (s9 << 5);
    s[24] = s9 >> 3;
    s[25] = s9 >> 11;
    s[26] = (s9 >> 19) | (s10 << 2);
    s[27] = s10 >> 6;
    s[28] = (s10 >> 14) | (s11 << 7);
    s[29] = s11 >> 1;
    s[30] = s11 >> 9;
    s[31] = s11 >> 17;
}

//copied from above and modified
/*
Input:
  a[0]+256*a[1]+...+256^31*a[31] = a
  b[0]+256*b[1]+...+256^31*b[31] = b
  c[0]+256*c[1]+...+256^31*c[31] = c

Output:
  s[0]+256*s[1]+...+256^31*s[31] = (c+ab) mod l
  where l = 2^252 + 27742317777372353535851937790883648493.
*/

void sc_muladd(unsigned char *s, const unsigned char *a, const unsigned char *b, const unsigned char *c) {
    int64_t a0 = 2097151 & load_3(a);
    int64_t a1 = 2097151 & (load_4(a + 2) >> 5);
    int64_t a2 = 2097151 & (load_3(a + 5) >> 2);
    int64_t a3 = 2097151 & (load_4(a + 7) >> 7);
    int64_t a4 = 2097151 & (load_4(a + 10) >> 4);
    int64_t a5 = 2097151 & (load_3(a + 13) >> 1);
    int64_t a6 = 2097151 & (load_4(a + 15) >> 6);
    int64_t a7 = 2097151 & (load_3(a + 18) >> 3);
    int64_t a8 = 2097151 & load_3(a + 21);
    int64_t a9 = 2097151 & (load_4(a + 23) >> 5);
    int64_t a10 = 2097151 & (load_3(a + 26) >> 2);
    int64_t a11 = (load_4(a + 28) >> 7);
    int64_t b0 = 2097151 & load_3(b);
    int64_t b1 = 2097151 & (load_4(b + 2) >> 5);
    int64_t b2 = 2097151 & (load_3(b + 5) >> 2);
    int64_t b3 = 2097151 & (load_4(b + 7) >> 7);
    int64_t b4 = 2097151 & (load_4(b + 10) >> 4);
    int64_t b5 = 2097151 & (load_3(b + 13) >> 1);
    int64_t b6 = 2097151 & (load_4(b + 15) >> 6);
    int64_t b7 = 2097151 & (load_3(b + 18) >> 3);
    int64_t b8 = 2097151 & load_3(b + 21);
    int64_t b9 = 2097151 & (load_4(b + 23) >> 5);
    int64_t b10 = 2097151 & (load_3(b + 26) >> 2);
    int64_t b11 = (load_4(b + 28) >> 7);
    int64_t c0 = 2097151 & load_3(c);
    int64_t c1 = 2097151 & (load_4(c + 2) >> 5);
    int64_t c2 = 2097151 & (load_3(c + 5) >> 2);
    int64_t c3 = 2097151 & (load_4(c + 7) >> 7);
    int64_t c4 = 2097151 & (load_4(c + 10) >> 4);
    int64_t c5 = 2097151 & (load_3(c + 13) >> 1);
    int64_t c6 = 2097151 & (load_4(c + 15) >> 6);
    int64_t c7 = 2097151 & (load_3(c + 18) >> 3);
    int64_t c8 = 2097151 & load_3(c + 21);
    int64_t c9 = 2097151 & (load_4(c + 23) >> 5);
    int64_t c10 = 2097151 & (load_3(c + 26) >> 2);
    int64_t c11 = (load_4(c + 28) >> 7);
    int64_t s0;
    int64_t s1;
    int64_t s2;
    int64_t s3;
    int64_t s4;
    int64_t s5;
    int64_t s6;
    int64_t s7;
    int64_t s8;
    int64_t s9;
    int64_t s10;
    int64_t s11;
    int64_t s12;
    int64_t s13;
    int64_t s14;
    int64_t s15;
    int64_t s16;
    int64_t s17;
    int64_t s18;
    int64_t s19;
    int64_t s20;
    int64_t s21;
    int64_t s22;
    int64_t s23;
    int64_t carry0;
    int64_t carry1;
    int64_t carry2;
    int64_t carry3;
    int64_t carry4;
    int64_t carry5;
    int64_t carry6;
    int64_t carry7;
    int64_t carry8;
    int64_t carry9;
    int64_t carry10;
    int64_t carry11;
    int64_t carry12;
    int64_t carry13;
    int64_t carry14;
    int64_t carry15;
    int64_t carry16;
    int64_t carry17;
    int64_t carry18;
    int64_t carry19;
    int64_t carry20;
    int64_t carry21;
    int64_t carry22;

    s0 = c0 + a0*b0;
    s1 = c1 + (a0*b1 + a1*b0);
    s2 = c2 + (a0*b2 + a1*b1 + a2*b0);
    s3 = c3 + (a0*b3 + a1*b2 + a2*b1 + a3*b0);
    s4 = c4 + (a0*b4 + a1*b3 + a2*b2 + a3*b1 + a4*b0);
    s5 = c5 + (a0*b5 + a1*b4 + a2*b3 + a3*b2 + a4*b1 + a5*b0);
    s6 = c6 + (a0*b6 + a1*b5 + a2*b4 + a3*b3 + a4*b2 + a5*b1 + a6*b0);
    s7 = c7 + (a0*b7 + a1*b6 + a2*b5 + a3*b4 + a4*b3 + a5*b2 + a6*b1 + a7*b0);
    s8 = c8 + (a0*b8 + a1*b7 + a2*b6 + a3*b5 + a4*b4 + a5*b3 + a6*b2 + a7*b1 + a8*b0);
    s9 = c9 + (a0*b9 + a1*b8 + a2*b7 + a3*b6 + a4*b5 + a5*b4 + a6*b3 + a7*b2 + a8*b1 + a9*b0);
    s10 = c10 + (a0*b10 + a1*b9 + a2*b8 + a3*b7 + a4*b6 + a5*b5 + a6*b4 + a7*b3 + a8*b2 + a9*b1 + a10*b0);
    s11 = c11 + (a0*b11 + a1*b10 + a2*b9 + a3*b8 + a4*b7 + a5*b6 + a6*b5 + a7*b4 + a8*b3 + a9*b2 + a10*b1 + a11*b0);
    s12 = (a1*b11 + a2*b10 + a3*b9 + a4*b8 + a5*b7 + a6*b6 + a7*b5 + a8*b4 + a9*b3 + a10*b2 + a11*b1);
    s13 = (a2*b11 + a3*b10 + a4*b9 + a5*b8 + a6*b7 + a7*b6 + a8*b5 + a9*b4 + a10*b3 + a11*b2);
    s14 = (a3*b11 + a4*b10 + a5*b9 + a6*b8 + a7*b7 + a8*b6 + a9*b5 + a10*b4 + a11*b3);
    s15 = (a4*b11 + a5*b10 + a6*b9 + a7*b8 + a8*b7 + a9*b6 + a10*b5 + a11*b4);
    s16 = (a5*b11 + a6*b10 + a7*b9 + a8*b8 + a9*b7 + a10*b6 + a11*b5);
    s17 = (a6*b11 + a7*b10 + a8*b9 + a9*b8 + a10*b7 + a11*b6);
    s18 = (a7*b11 + a8*b10 + a9*b9 + a10*b8 + a11*b7);
    s19 = (a8*b11 + a9*b10 + a10*b9 + a11*b8);
    s20 = (a9*b11 + a10*b10 + a11*b9);
    s21 = (a10*b11 + a11*b10);
    s22 = a11*b11;
    s23 = 0;

    carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21;
    carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21;
    carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21;
    carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21;
    carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21;
    carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21;
    carry12 = (s12 + (1<<20)) >> 21; s13 += carry12; s12 -= carry12 << 21;
    carry14 = (s14 + (1<<20)) >> 21; s15 += carry14; s14 -= carry14 << 21;
    carry16 = (s16 + (1<<20)) >> 21; s17 += carry16; s16 -= carry16 << 21;
    carry18 = (s18 + (1<<20)) >> 21; s19 += carry18; s18 -= carry18 << 21;
    carry20 = (s20 + (1<<20)) >> 21; s21 += carry20; s20 -= carry20 << 21;
    carry22 = (s22 + (1<<20)) >> 21; s23 += carry22; s22 -= carry22 << 21;

    carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21;
    carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21;
    carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21;
    carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21;
    carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21;
    carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21;
    carry13 = (s13 + (1<<20)) >> 21; s14 += carry13; s13 -= carry13 << 21;
    carry15 = (s15 + (1<<20)) >> 21; s16 += carry15; s15 -= carry15 << 21;
    carry17 = (s17 + (1<<20)) >> 21; s18 += carry17; s17 -= carry17 << 21;
    carry19 = (s19 + (1<<20)) >> 21; s20 += carry19; s19 -= carry19 << 21;
    carry21 = (s21 + (1<<20)) >> 21; s22 += carry21; s21 -= carry21 << 21;

    s11 += s23 * 666643;
    s12 += s23 * 470296;
    s13 += s23 * 654183;
    s14 -= s23 * 997805;
    s15 += s23 * 136657;
    s16 -= s23 * 683901;

    s10 += s22 * 666643;
    s11 += s22 * 470296;
    s12 += s22 * 654183;
    s13 -= s22 * 997805;
    s14 += s22 * 136657;
    s15 -= s22 * 683901;

    s9 += s21 * 666643;
    s10 += s21 * 470296;
    s11 += s21 * 654183;
    s12 -= s21 * 997805;
    s13 += s21 * 136657;
    s14 -= s21 * 683901;

    s8 += s20 * 666643;
    s9 += s20 * 470296;
    s10 += s20 * 654183;
    s11 -= s20 * 997805;
    s12 += s20 * 136657;
    s13 -= s20 * 683901;

    s7 += s19 * 666643;
    s8 += s19 * 470296;
    s9 += s19 * 654183;
    s10 -= s19 * 997805;
    s11 += s19 * 136657;
    s12 -= s19 * 683901;

    s6 += s18 * 666643;
    s7 += s18 * 470296;
    s8 += s18 * 654183;
    s9 -= s18 * 997805;
    s10 += s18 * 136657;
    s11 -= s18 * 683901;

    carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21;
    carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21;
    carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21;
    carry12 = (s12 + (1<<20)) >> 21; s13 += carry12; s12 -= carry12 << 21;
    carry14 = (s14 + (1<<20)) >> 21; s15 += carry14; s14 -= carry14 << 21;
    carry16 = (s16 + (1<<20)) >> 21; s17 += carry16; s16 -= carry16 << 21;

    carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21;
    carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21;
    carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21;
    carry13 = (s13 + (1<<20)) >> 21; s14 += carry13; s13 -= carry13 << 21;
    carry15 = (s15 + (1<<20)) >> 21; s16 += carry15; s15 -= carry15 << 21;

    s5 += s17 * 666643;
    s6 += s17 * 470296;
    s7 += s17 * 654183;
    s8 -= s17 * 997805;
    s9 += s17 * 136657;
    s10 -= s17 * 683901;

    s4 += s16 * 666643;
    s5 += s16 * 470296;
    s6 += s16 * 654183;
    s7 -= s16 * 997805;
    s8 += s16 * 136657;
    s9 -= s16 * 683901;

    s3 += s15 * 666643;
    s4 += s15 * 470296;
    s5 += s15 * 654183;
    s6 -= s15 * 997805;
    s7 += s15 * 136657;
    s8 -= s15 * 683901;

    s2 += s14 * 666643;
    s3 += s14 * 470296;
    s4 += s14 * 654183;
    s5 -= s14 * 997805;
    s6 += s14 * 136657;
    s7 -= s14 * 683901;

    s1 += s13 * 666643;
    s2 += s13 * 470296;
    s3 += s13 * 654183;
    s4 -= s13 * 997805;
    s5 += s13 * 136657;
    s6 -= s13 * 683901;

    s0 += s12 * 666643;
    s1 += s12 * 470296;
    s2 += s12 * 654183;
    s3 -= s12 * 997805;
    s4 += s12 * 136657;
    s5 -= s12 * 683901;
    s12 = 0;

    carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21;
    carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21;
    carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21;
    carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21;
    carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21;
    carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21;

    carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21;
    carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21;
    carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21;
    carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21;
    carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21;
    carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21;

    s0 += s12 * 666643;
    s1 += s12 * 470296;
    s2 += s12 * 654183;
    s3 -= s12 * 997805;
    s4 += s12 * 136657;
    s5 -= s12 * 683901;
    s12 = 0;

    carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21;
    carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21;
    carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21;
    carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21;
    carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21;
    carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21;
    carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21;
    carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21;
    carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21;
    carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21;
    carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21;
    carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 21;

    s0 += s12 * 666643;
    s1 += s12 * 470296;
    s2 += s12 * 654183;
    s3 -= s12 * 997805;
    s4 += s12 * 136657;
    s5 -= s12 * 683901;

    carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21;
    carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21;
    carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21;
    carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21;
    carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21;
    carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21;
    carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21;
    carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21;
    carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21;
    carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21;
    carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21;

    s[0] = s0 >> 0;
    s[1] = s0 >> 8;
    s[2] = (s0 >> 16) | (s1 << 5);
    s[3] = s1 >> 3;
    s[4] = s1 >> 11;
    s[5] = (s1 >> 19) | (s2 << 2);
    s[6] = s2 >> 6;
    s[7] = (s2 >> 14) | (s3 << 7);
    s[8] = s3 >> 1;
    s[9] = s3 >> 9;
    s[10] = (s3 >> 17) | (s4 << 4);
    s[11] = s4 >> 4;
    s[12] = s4 >> 12;
    s[13] = (s4 >> 20) | (s5 << 1);
    s[14] = s5 >> 7;
    s[15] = (s5 >> 15) | (s6 << 6);
    s[16] = s6 >> 2;
    s[17] = s6 >> 10;
    s[18] = (s6 >> 18) | (s7 << 3);
    s[19] = s7 >> 5;
    s[20] = s7 >> 13;
    s[21] = s8 >> 0;
    s[22] = s8 >> 8;
    s[23] = (s8 >> 16) | (s9 << 5);
    s[24] = s9 >> 3;
    s[25] = s9 >> 11;
    s[26] = (s9 >> 19) | (s10 << 2);
    s[27] = s10 >> 6;
    s[28] = (s10 >> 14) | (s11 << 7);
    s[29] = s11 >> 1;
    s[30] = s11 >> 9;
    s[31] = s11 >> 17;
}

static int64_t signum(int64_t a) {
    return a > 0 ? 1 : a < 0 ? -1 : 0;
}

int sc_check(const unsigned char *s) {
    int64_t s0 = load_4(s);
    int64_t s1 = load_4(s + 4);
    int64_t s2 = load_4(s + 8);
    int64_t s3 = load_4(s + 12);
    int64_t s4 = load_4(s + 16);
    int64_t s5 = load_4(s + 20);
    int64_t s6 = load_4(s + 24);
    int64_t s7 = load_4(s + 28);
    return (signum(1559614444 - s0) + (signum(1477600026 - s1) << 1) + (signum(2734136534 - s2) << 2) + (signum(350157278 - s3) << 3) + (signum(-s4) << 4) + (signum(-s5) << 5) + (signum(-s6) << 6) + (signum(268435456 - s7) << 7)) >> 8;
}

int sc_isnonzero(const unsigned char *s) {
    return (((int) (s[0] | s[1] | s[2] | s[3] | s[4] | s[5] | s[6] | s[7] | s[8] |
                    s[9] | s[10] | s[11] | s[12] | s[13] | s[14] | s[15] | s[16] | s[17] |
                    s[18] | s[19] | s[20] | s[21] | s[22] | s[23] | s[24] | s[25] | s[26] |
                    s[27] | s[28] | s[29] | s[30] | s[31]) - 1) >> 8) + 1;
}

int ge_p3_is_point_at_infinity(const ge_p3 *p) {
    // X = 0 and Y == Z
    int n;
    for (n = 0; n < 10; ++n)
    {
        if (p->X[n] | p->T[n])
            return 0;
        if (p->Y[n] != p->Z[n])
            return 0;
    }
    return 1;
}

/* sqrt(x) is such an integer y that 0 <= y <= p - 1, y % 2 = 0, and y^2 = x (mod p). */
/* d = -121665 / 121666 */
const fe fe_d = {-10913610, 13857413, -15372611, 6949391, 114729, -8787816, -6275908, -3247719, -18696448, -12055116}; /* d */
const fe fe_sqrtm1 = {-32595792, -7943725, 9377950, 3500415, 12389472, -272473, -25146209, -2005654, 326686, 11406482}; /* sqrt(-1) */
const fe fe_d2 = {-21827239, -5839606, -30745221, 13898782, 229458, 15978800, -12551817, -6495438, 29715968, 9444199}; /* 2 * d */

/* base[i][j] = (j+1)*256^i*B */
const ge_precomp ge_base[32][8] = {
        {
                {{25967493, -14356035, 29566456, 3660896, -12694345, 4014787, 27544626, -11754271, -6079156, 2047605},
                        {-12545711, 934262, -2722910, 3049990, -727428, 9406986, 12720692, 5043384, 19500929, -15469378},
                        {-8738181, 4489570, 9688441, -14785194, 10184609, -12363380, 29287919, 11864899, -24514362, -4438546}},
                {{-12815894, -12976347, -21581243, 11784320, -25355658, -2750717, -11717903, -3814571, -358445, -10211303},
                        {-21703237, 6903825, 27185491, 6451973, -29577724, -9554005, -15616551, 11189268, -26829678, -5319081},
                        {26966642, 11152617, 32442495, 15396054, 14353839, -12752335, -3128826, -9541118, -15472047, -4166697}},
                {{15636291, -9688557, 24204773, -7912398, 616977, -16685262, 27787600, -14772189, 28944400, -1550024},
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                {{13609624, 13069022, -27372361, -13055908, 24360586, 9592974, 14977157, 9835105, 4389687, 288396},
                        {9922506, -519394, 13613107, 5883594, -18758345, -434263, -12304062, 8317628, 23388070, 16052080},
                        {12720016, 11937594, -31970060, -5028689, 26900120, 8561328, -20155687, -11632979, -14754271, -10812892}},
                {{15961858, 14150409, 26716931, -665832, -22794328, 13603569, 11829573, 7467844, -28822128, 929275},
                        {11038231, -11582396, -27310482, -7316562, -10498527, -16307831, -23479533, -9371869, -21393143, 2465074},
                        {20017163, -4323226, 27915242, 1529148, 12396362, 15675764, 13817261, -9658066, 2463391, -4622140}},
                {{-16358878, -12663911, -12065183, 4996454, -1256422, 1073572, 9583558, 12851107, 4003896, 12673717},
                        {-1731589, -15155870, -3262930, 16143082, 19294135, 13385325, 14741514, -9103726, 7903886, 2348101},
                        {24536016, -16515207, 12715592, -3862155, 1511293, 10047386, -3842346, -7129159, -28377538, 10048127}}
        }, {
                {{-12622226, -6204820, 30718825, 2591312, -10617028, 12192840, 18873298, -7297090, -32297756, 15221632},
                        {-26478122, -11103864, 11546244, -1852483, 9180880, 7656409, -21343950, 2095755, 29769758, 6593415},
                        {-31994208, -2907461, 4176912, 3264766, 12538965, -868111, 26312345, -6118678, 30958054, 8292160}},
                {{31429822, -13959116, 29173532, 15632448, 12174511, -2760094, 32808831, 3977186, 26143136, -3148876},
                        {22648901, 1402143, -22799984, 13746059, 7936347, 365344, -8668633, -1674433, -3758243, -2304625},
                        {-15491917, 8012313, -2514730, -12702462, -23965846, -10254029, -1612713, -1535569, -16664475, 8194478}},
                {{27338066, -7507420, -7414224, 10140405, -19026427, -6589889, 27277191, 8855376, 28572286, 3005164},
                        {26287124, 4821776, 25476601, -4145903, -3764513, -15788984, -18008582, 1182479, -26094821, -13079595},
                        {-7171154, 3178080, 23970071, 6201893, -17195577, -4489192, -21876275, -13982627, 32208683, -1198248}},
                {{-16657702, 2817643, -10286362, 14811298, 6024667, 13349505, -27315504, -10497842, -27672585, -11539858},
                        {15941029, -9405932, -21367050, 8062055, 31876073, -238629, -15278393, -1444429, 15397331, -4130193},
                        {8934485, -13485467, -23286397, -13423241, -32446090, 14047986, 31170398, -1441021, -27505566, 15087184}},
                {{-18357243, -2156491, 24524913, -16677868, 15520427, -6360776, -15502406, 11461896, 16788528, -5868942},
                        {-1947386, 16013773, 21750665, 3714552, -17401782, -16055433, -3770287, -10323320, 31322514, -11615635},
                        {21426655, -5650218, -13648287, -5347537, -28812189, -4920970, -18275391, -14621414, 13040862, -12112948}},
                {{11293895, 12478086, -27136401, 15083750, -29307421, 14748872, 14555558, -13417103, 1613711, 4896935},
                        {-25894883, 15323294, -8489791, -8057900, 25967126, -13425460, 2825960, -4897045, -23971776, -11267415},
                        {-15924766, -5229880, -17443532, 6410664, 3622847, 10243618, 20615400, 12405433, -23753030, -8436416}},
                {{-7091295, 12556208, -20191352, 9025187, -17072479, 4333801, 4378436, 2432030, 23097949, -566018},
                        {4565804, -16025654, 20084412, -7842817, 1724999, 189254, 24767264, 10103221, -18512313, 2424778},
                        {366633, -11976806, 8173090, -6890119, 30788634, 5745705, -7168678, 1344109, -3642553, 12412659}},
                {{-24001791, 7690286, 14929416, -168257, -32210835, -13412986, 24162697, -15326504, -3141501, 11179385},
                        {18289522, -14724954, 8056945, 16430056, -21729724, 7842514, -6001441, -1486897, -18684645, -11443503},
                        {476239, 6601091, -6152790, -9723375, 17503545, -4863900, 27672959, 13403813, 11052904, 5219329}}
        }, {
                {{20678546, -8375738, -32671898, 8849123, -5009758, 14574752, 31186971, -3973730, 9014762, -8579056},
                        {-13644050, -10350239, -15962508, 5075808, -1514661, -11534600, -33102500, 9160280, 8473550, -3256838},
                        {24900749, 14435722, 17209120, -15292541, -22592275, 9878983, -7689309, -16335821, -24568481, 11788948}},
                {{-3118155, -11395194, -13802089, 14797441, 9652448, -6845904, -20037437, 10410733, -24568470, -1458691},
                        {-15659161, 16736706, -22467150, 10215878, -9097177, 7563911, 11871841, -12505194, -18513325, 8464118},
                        {-23400612, 8348507, -14585951, -861714, -3950205, -6373419, 14325289, 8628612, 33313881, -8370517}},
                {{-20186973, -4967935, 22367356, 5271547, -1097117, -4788838, -24805667, -10236854, -8940735, -5818269},
                        {-6948785, -1795212, -32625683, -16021179, 32635414, -7374245, 15989197, -12838188, 28358192, -4253904},
                        {-23561781, -2799059, -32351682, -1661963, -9147719, 10429267, -16637684, 4072016, -5351664, 5596589}},
                {{-28236598, -3390048, 12312896, 6213178, 3117142, 16078565, 29266239, 2557221, 1768301, 15373193},
                        {-7243358, -3246960, -4593467, -7553353, -127927, -912245, -1090902, -4504991, -24660491, 3442910},
                        {-30210571, 5124043, 14181784, 8197961, 18964734, -11939093, 22597931, 7176455, -18585478, 13365930}},
                {{-7877390, -1499958, 8324673, 4690079, 6261860, 890446, 24538107, -8570186, -9689599, -3031667},
                        {25008904, -10771599, -4305031, -9638010, 16265036, 15721635, 683793, -11823784, 15723479, -15163481},
                        {-9660625, 12374379, -27006999, -7026148, -7724114, -12314514, 11879682, 5400171, 519526, -1235876}},
                {{22258397, -16332233, -7869817, 14613016, -22520255, -2950923, -20353881, 7315967, 16648397, 7605640},
                        {-8081308, -8464597, -8223311, 9719710, 19259459, -15348212, 23994942, -5281555, -9468848, 4763278},
                        {-21699244, 9220969, -15730624, 1084137, -25476107, -2852390, 31088447, -7764523, -11356529, 728112}},
                {{26047220, -11751471, -6900323, -16521798, 24092068, 9158119, -4273545, -12555558, -29365436, -5498272},
                        {17510331, -322857, 5854289, 8403524, 17133918, -3112612, -28111007, 12327945, 10750447, 10014012},
                        {-10312768, 3936952, 9156313, -8897683, 16498692, -994647, -27481051, -666732, 3424691, 7540221}},
                {{30322361, -6964110, 11361005, -4143317, 7433304, 4989748, -7071422, -16317219, -9244265, 15258046},
                        {13054562, -2779497, 19155474, 469045, -12482797, 4566042, 5631406, 2711395, 1062915, -5136345},
                        {-19240248, -11254599, -29509029, -7499965, -5835763, 13005411, -6066489, 12194497, 32960380, 1459310}}
        }, {
                {{19852034, 7027924, 23669353, 10020366, 8586503, -6657907, 394197, -6101885, 18638003, -11174937},
                        {31395534, 15098109, 26581030, 8030562, -16527914, -5007134, 9012486, -7584354, -6643087, -5442636},
                        {-9192165, -2347377, -1997099, 4529534, 25766844, 607986, -13222, 9677543, -32294889, -6456008}},
                {{-2444496, -149937, 29348902, 8186665, 1873760, 12489863, -30934579, -7839692, -7852844, -8138429},
                        {-15236356, -15433509, 7766470, 746860, 26346930, -10221762, -27333451, 10754588, -9431476, 5203576},
                        {31834314, 14135496, -770007, 5159118, 20917671, -16768096, -7467973, -7337524, 31809243, 7347066}},
                {{-9606723, -11874240, 20414459, 13033986, 13716524, -11691881, 19797970, -12211255, 15192876, -2087490},
                        {-12663563, -2181719, 1168162, -3804809, 26747877, -14138091, 10609330, 12694420, 33473243, -13382104},
                        {33184999, 11180355, 15832085, -11385430, -1633671, 225884, 15089336, -11023903, -6135662, 14480053}},
                {{31308717, -5619998, 31030840, -1897099, 15674547, -6582883, 5496208, 13685227, 27595050, 8737275},
                        {-20318852, -15150239, 10933843, -16178022, 8335352, -7546022, -31008351, -12610604, 26498114, 66511},
                        {22644454, -8761729, -16671776, 4884562, -3105614, -13559366, 30540766, -4286747, -13327787, -7515095}},
                {{-28017847, 9834845, 18617207, -2681312, -3401956, -13307506, 8205540, 13585437, -17127465, 15115439},
                        {23711543, -672915, 31206561, -8362711, 6164647, -9709987, -33535882, -1426096, 8236921, 16492939},
                        {-23910559, -13515526, -26299483, -4503841, 25005590, -7687270, 19574902, 10071562, 6708380, -6222424}},
                {{2101391, -4930054, 19702731, 2367575, -15427167, 1047675, 5301017, 9328700, 29955601, -11678310},
                        {3096359, 9271816, -21620864, -15521844, -14847996, -7592937, -25892142, -12635595, -9917575, 6216608},
                        {-32615849, 338663, -25195611, 2510422, -29213566, -13820213, 24822830, -6146567, -26767480, 7525079}},
                {{-23066649, -13985623, 16133487, -7896178, -3389565, 778788, -910336, -2782495, -19386633, 11994101},
                        {21691500, -13624626, -641331, -14367021, 3285881, -3483596, -25064666, 9718258, -7477437, 13381418},
                        {18445390, -4202236, 14979846, 11622458, -1727110, -3582980, 23111648, -6375247, 28535282, 15779576}},
                {{30098053, 3089662, -9234387, 16662135, -21306940, 11308411, -14068454, 12021730, 9955285, -16303356},
                        {9734894, -14576830, -7473633, -9138735, 2060392, 11313496, -18426029, 9924399, 20194861, 13380996},
                        {-26378102, -7965207, -22167821, 15789297, -18055342, -6168792, -1984914, 15707771, 26342023, 10146099}}
        }, {
                {{-26016874, -219943, 21339191, -41388, 19745256, -2878700, -29637280, 2227040, 21612326, -545728},
                        {-13077387, 1184228, 23562814, -5970442, -20351244, -6348714, 25764461, 12243797, -20856566, 11649658},
                        {-10031494, 11262626, 27384172, 2271902, 26947504, -15997771, 39944, 6114064, 33514190, 2333242}},
                {{-21433588, -12421821, 8119782, 7219913, -21830522, -9016134, -6679750, -12670638, 24350578, -13450001},
                        {-4116307, -11271533, -23886186, 4843615, -30088339, 690623, -31536088, -10406836, 8317860, 12352766},
                        {18200138, -14475911, -33087759, -2696619, -23702521, -9102511, -23552096, -2287550, 20712163, 6719373}},
                {{26656208, 6075253, -7858556, 1886072, -28344043, 4262326, 11117530, -3763210, 26224235, -3297458},
                        {-17168938, -14854097, -3395676, -16369877, -19954045, 14050420, 21728352, 9493610, 18620611, -16428628},
                        {-13323321, 13325349, 11432106, 5964811, 18609221, 6062965, -5269471, -9725556, -30701573, -16479657}},
                {{-23860538, -11233159, 26961357, 1640861, -32413112, -16737940, 12248509, -5240639, 13735342, 1934062},
                        {25089769, 6742589, 17081145, -13406266, 21909293, -16067981, -15136294, -3765346, -21277997, 5473616},
                        {31883677, -7961101, 1083432, -11572403, 22828471, 13290673, -7125085, 12469656, 29111212, -5451014}},
                {{24244947, -15050407, -26262976, 2791540, -14997599, 16666678, 24367466, 6388839, -10295587, 452383},
                        {-25640782, -3417841, 5217916, 16224624, 19987036, -4082269, -24236251, -5915248, 15766062, 8407814},
                        {-20406999, 13990231, 15495425, 16395525, 5377168, 15166495, -8917023, -4388953, -8067909, 2276718}},
                {{30157918, 12924066, -17712050, 9245753, 19895028, 3368142, -23827587, 5096219, 22740376, -7303417},
                        {2041139, -14256350, 7783687, 13876377, -25946985, -13352459, 24051124, 13742383, -15637599, 13295222},
                        {33338237, -8505733, 12532113, 7977527, 9106186, -1715251, -17720195, -4612972, -4451357, -14669444}},
                {{-20045281, 5454097, -14346548, 6447146, 28862071, 1883651, -2469266, -4141880, 7770569, 9620597},
                        {23208068, 7979712, 33071466, 8149229, 1758231, -10834995, 30945528, -1694323, -33502340, -14767970},
                        {1439958, -16270480, -1079989, -793782, 4625402, 10647766, -5043801, 1220118, 30494170, -11440799}},
                {{-5037580, -13028295, -2970559, -3061767, 15640974, -6701666, -26739026, 926050, -1684339, -13333647},
                        {13908495, -3549272, 30919928, -6273825, -21521863, 7989039, 9021034, 9078865, 3353509, 4033511},
                        {-29663431, -15113610, 32259991, -344482, 24295849, -12912123, 23161163, 8839127, 27485041, 7356032}}
        }, {
                {{9661027, 705443, 11980065, -5370154, -1628543, 14661173, -6346142, 2625015, 28431036, -16771834},
                        {-23839233, -8311415, -25945511, 7480958, -17681669, -8354183, -22545972, 14150565, 15970762, 4099461},
                        {29262576, 16756590, 26350592, -8793563, 8529671, -11208050, 13617293, -9937143, 11465739, 8317062}},
                {{-25493081, -6962928, 32500200, -9419051, -23038724, -2302222, 14898637, 3848455, 20969334, -5157516},
                        {-20384450, -14347713, -18336405, 13884722, -33039454, 2842114, -21610826, -3649888, 11177095, 14989547},
                        {-24496721, -11716016, 16959896, 2278463, 12066309, 10137771, 13515641, 2581286, -28487508, 9930240}},
                {{-17751622, -2097826, 16544300, -13009300, -15914807, -14949081, 18345767, -13403753, 16291481, -5314038},
                        {-33229194, 2553288, 32678213, 9875984, 8534129, 6889387, -9676774, 6957617, 4368891, 9788741},
                        {16660756, 7281060, -10830758, 12911820, 20108584, -8101676, -21722536, -8613148, 16250552, -11111103}},
                {{-19765507, 2390526, -16551031, 14161980, 1905286, 6414907, 4689584, 10604807, -30190403, 4782747},
                        {-1354539, 14736941, -7367442, -13292886, 7710542, -14155590, -9981571, 4383045, 22546403, 437323},
                        {31665577, -12180464, -16186830, 1491339, -18368625, 3294682, 27343084, 2786261, -30633590, -14097016}},
                {{-14467279, -683715, -33374107, 7448552, 19294360, 14334329, -19690631, 2355319, -19284671, -6114373},
                        {15121312, -15796162, 6377020, -6031361, -10798111, -12957845, 18952177, 15496498, -29380133, 11754228},
                        {-2637277, -13483075, 8488727, -14303896, 12728761, -1622493, 7141596, 11724556, 22761615, -10134141}},
                {{16918416, 11729663, -18083579, 3022987, -31015732, -13339659, -28741185, -12227393, 32851222, 11717399},
                        {11166634, 7338049, -6722523, 4531520, -29468672, -7302055, 31474879, 3483633, -1193175, -4030831},
                        {-185635, 9921305, 31456609, -13536438, -12013818, 13348923, 33142652, 6546660, -19985279, -3948376}},
                {{-32460596, 11266712, -11197107, -7899103, 31703694, 3855903, -8537131, -12833048, -30772034, -15486313},
                        {-18006477, 12709068, 3991746, -6479188, -21491523, -10550425, -31135347, -16049879, 10928917, 3011958},
                        {-6957757, -15594337, 31696059, 334240, 29576716, 14796075, -30831056, -12805180, 18008031, 10258577}},
                {{-22448644, 15655569, 7018479, -4410003, -30314266, -1201591, -1853465, 1367120, 25127874, 6671743},
                        {29701166, -14373934, -10878120, 9279288, -17568, 13127210, 21382910, 11042292, 25838796, 4642684},
                        {-20430234, 14955537, -24126347, 8124619, -5369288, -5990470, 30468147, -13900640, 18423289, 4177476}}
        }
};

const ge_precomp ge_Bi[8] = {
        {{25967493, -14356035, 29566456, 3660896, -12694345, 4014787, 27544626, -11754271, -6079156, 2047605},
                {-12545711, 934262, -2722910, 3049990, -727428, 9406986, 12720692, 5043384, 19500929, -15469378},
                {-8738181, 4489570, 9688441, -14785194, 10184609, -12363380, 29287919, 11864899, -24514362, -4438546}}, {{15636291, -9688557, 24204773, -7912398, 616977, -16685262, 27787600, -14772189, 28944400, -1550024},
                {16568933, 4717097, -11556148, -1102322, 15682896, -11807043, 16354577, -11775962, 7689662, 11199574},
                {30464156, -5976125, -11779434, -15670865, 23220365, 15915852, 7512774, 10017326, -17749093, -9920357}}, {{10861363, 11473154, 27284546, 1981175, -30064349, 12577861, 32867885, 14515107, -15438304, 10819380},
                {4708026, 6336745, 20377586, 9066809, -11272109, 6594696, -25653668, 12483688, -12668491, 5581306},
                {19563160, 16186464, -29386857, 4097519, 10237984, -4348115, 28542350, 13850243, -23678021, -15815942}}, {{5153746, 9909285, 1723747, -2777874, 30523605, 5516873, 19480852, 5230134, -23952439, -15175766},
                {-30269007, -3463509, 7665486, 10083793, 28475525, 1649722, 20654025, 16520125, 30598449, 7715701},
                {28881845, 14381568, 9657904, 3680757, -20181635, 7843316, -31400660, 1370708, 29794553, -1409300}}, {{-22518993, -6692182, 14201702, -8745502, -23510406, 8844726, 18474211, -1361450, -13062696, 13821877},
                {-6455177, -7839871, 3374702, -4740862, -27098617, -10571707, 31655028, -7212327, 18853322, -14220951},
                {4566830, -12963868, -28974889, -12240689, -7602672, -2830569, -8514358, -10431137, 2207753, -3209784}}, {{-25154831, -4185821, 29681144, 7868801, -6854661, -9423865, -12437364, -663000, -31111463, -16132436},
                {25576264, -2703214, 7349804, -11814844, 16472782, 9300885, 3844789, 15725684, 171356, 6466918},
                {23103977, 13316479, 9739013, -16149481, 817875, -15038942, 8965339, -14088058, -30714912, 16193877}}, {{-33521811, 3180713, -2394130, 14003687, -16903474, -16270840, 17238398, 4729455, -18074513, 9256800},
                {-25182317, -4174131, 32336398, 5036987, -21236817, 11360617, 22616405, 9761698, -19827198, 630305},
                {-13720693, 2639453, -24237460, -7406481, 9494427, -5774029, -6554551, -15960994, -2449256, -14291300}}, {{-3151181, -5046075, 9282714, 6866145, -31907062, -863023, -18940575, 15033784, 25105118, -7894876},
                {-24326370, 15950226, -31801215, -14592823, -11662737, -5090925, 1573892, -2625887, 2198790, -15804619},
                {-3099351, 10324967, -2241613, 7453183, -5446979, -2735503, -13812022, -16236442, -32461234, -12290683}}
};

/* A = 2 * (1 - d) / (1 + d) = 486662 */
const fe fe_ma2 = {-12721188, -3529, 0, 0, 0, 0, 0, 0, 0, 0}; /* -A^2 */
const fe fe_ma = {-486662, 0, 0, 0, 0, 0, 0, 0, 0, 0}; /* -A */
const fe fe_fffb1 = {-31702527, -2466483, -26106795, -12203692, -12169197, -321052, 14850977, -10296299, -16929438, -407568}; /* sqrt(-2 * A * (A + 2)) */
const fe fe_fffb2 = {8166131, -6741800, -17040804, 3154616, 21461005, 1466302, -30876704, -6368709, 10503587, -13363080}; /* sqrt(2 * A * (A + 2)) */
const fe fe_fffb3 = {-13620103, 14639558, 4532995, 7679154, 16815101, -15883539, -22863840, -14813421, 13716513, -6477756}; /* sqrt(-sqrt(-1) * A * (A + 2)) */
const fe fe_fffb4 = {-21786234, -12173074, 21573800, 4524538, -4645904, 16204591, 8012863, -8444712, 3212926, 6885324}; /* sqrt(sqrt(-1) * A * (A + 2)) */