kernel.cl

typedef struct
{
  int X[10];
  int Y[10];
  int Z[10];
} ge_p2;

typedef struct
{
  int X[10];
  int Y[10];
  int Z[10];
  int T[10];
} ge_p3;

typedef struct
{
  int X[10];
  int Y[10];
  int Z[10];
  int T[10];
} ge_p1p1;

typedef struct
{
  int yplusx[10];
  int yminusx[10];
  int xy2d[10];
} ge_precomp;

typedef unsigned long uint64_t;
typedef unsigned short uint16_t;
typedef unsigned char uint8_t;

void ge_p3_tobytes(unsigned char *s, const ge_p3 *h);
void ge_madd(ge_p1p1 *r, const ge_p3 *p, const ge_precomp *q);
void ge_scalarmult_base(ge_p3 *h, const unsigned char *a);
void ge_p1p1_to_p2(ge_p2 *r, const ge_p1p1 *p);
void ge_p1p1_to_p3(ge_p3 *r, const ge_p1p1 *p);
void ge_p2_dbl(ge_p1p1 *r, const ge_p2 *p);
void ge_p3_0(ge_p3 *h);
void ge_p3_dbl(ge_p1p1 *r, const ge_p3 *p);
void ge_p3_to_p2(ge_p2 *r, const ge_p3 *p);
void fe_0(int *h);
void fe_1(int *h);
void fe_tobytes(unsigned char *s, const int *h);
void fe_copy(int *h, const int *f);
int fe_isnegative(const int *f);
void fe_cmov(int *f, const int *g, unsigned int b);
void fe_neg(int *h, const int *f);
void fe_add(int *h, const int *f, const int *g);
void fe_invert(int *out, const int *z);
void fe_sq(int *h, const int *f);
void fe_sq2(int *h, const int *f);
void fe_mul(int *h, const int *f, const int *g);
void fe_sub(int *h, const int *f, const int *g);

void memcpy(void *dest, const void *src, int len)
{
  uint8_t *d = dest;
  const uint8_t *s = src;

  while (len--)
    *d++ = *s++;
}

// https://github.com/dragmz/libtomcrypt/blob/develop/src/hashes/sha2/sha512.c
// https://github.com/dragmz/libtomcrypt/blob/develop/src/headers/tomcrypt_private.h
// https://github.com/dragmz/libtomcrypt/blob/develop/src/headers/tomcrypt_macros.h

#define ROR64(value, bits) (((value) >> (bits)) | ((value) << (64 - (bits))))

#define LOAD64H(x, y)                                                     \
  {                                                                       \
    x = (((uint64_t)((y)[0] & 255)) << 56) |                              \
        (((uint64_t)((y)[1] & 255)) << 48) |                              \
        (((uint64_t)((y)[2] & 255)) << 40) |                              \
        (((uint64_t)((y)[3] & 255)) << 32) |                              \
        (((uint64_t)((y)[4] & 255)) << 24) |                              \
        (((uint64_t)((y)[5] & 255)) << 16) |                              \
        (((uint64_t)((y)[6] & 255)) << 8) | (((uint64_t)((y)[7] & 255))); \
  }

#define STORE64H(x, y)                     \
  {                                        \
    (y)[0] = (uint8_t)(((x) >> 56) & 255); \
    (y)[1] = (uint8_t)(((x) >> 48) & 255); \
    (y)[2] = (uint8_t)(((x) >> 40) & 255); \
    (y)[3] = (uint8_t)(((x) >> 32) & 255); \
    (y)[4] = (uint8_t)(((x) >> 24) & 255); \
    (y)[5] = (uint8_t)(((x) >> 16) & 255); \
    (y)[6] = (uint8_t)(((x) >> 8) & 255);  \
    (y)[7] = (uint8_t)((x) & 255);         \
  }

#define SHA512_HASH_SIZE (512 / 8)

typedef struct
{
  uint64_t length;
  uint64_t state[8];
  uint8_t curlen;
  uint8_t buf[128];
} sha512_ctx;

static const uint64_t K[80] = {
    0x428a2f98d728ae22UL, 0x7137449123ef65cdUL, 0xb5c0fbcfec4d3b2fUL,
    0xe9b5dba58189dbbcUL, 0x3956c25bf348b538UL, 0x59f111f1b605d019UL,
    0x923f82a4af194f9bUL, 0xab1c5ed5da6d8118UL, 0xd807aa98a3030242UL,
    0x12835b0145706fbeUL, 0x243185be4ee4b28cUL, 0x550c7dc3d5ffb4e2UL,
    0x72be5d74f27b896fUL, 0x80deb1fe3b1696b1UL, 0x9bdc06a725c71235UL,
    0xc19bf174cf692694UL, 0xe49b69c19ef14ad2UL, 0xefbe4786384f25e3UL,
    0x0fc19dc68b8cd5b5UL, 0x240ca1cc77ac9c65UL, 0x2de92c6f592b0275UL,
    0x4a7484aa6ea6e483UL, 0x5cb0a9dcbd41fbd4UL, 0x76f988da831153b5UL,
    0x983e5152ee66dfabUL, 0xa831c66d2db43210UL, 0xb00327c898fb213fUL,
    0xbf597fc7beef0ee4UL, 0xc6e00bf33da88fc2UL, 0xd5a79147930aa725UL,
    0x06ca6351e003826fUL, 0x142929670a0e6e70UL, 0x27b70a8546d22ffcUL,
    0x2e1b21385c26c926UL, 0x4d2c6dfc5ac42aedUL, 0x53380d139d95b3dfUL,
    0x650a73548baf63deUL, 0x766a0abb3c77b2a8UL, 0x81c2c92e47edaee6UL,
    0x92722c851482353bUL, 0xa2bfe8a14cf10364UL, 0xa81a664bbc423001UL,
    0xc24b8b70d0f89791UL, 0xc76c51a30654be30UL, 0xd192e819d6ef5218UL,
    0xd69906245565a910UL, 0xf40e35855771202aUL, 0x106aa07032bbd1b8UL,
    0x19a4c116b8d2d0c8UL, 0x1e376c085141ab53UL, 0x2748774cdf8eeb99UL,
    0x34b0bcb5e19b48a8UL, 0x391c0cb3c5c95a63UL, 0x4ed8aa4ae3418acbUL,
    0x5b9cca4f7763e373UL, 0x682e6ff3d6b2b8a3UL, 0x748f82ee5defb2fcUL,
    0x78a5636f43172f60UL, 0x84c87814a1f0ab72UL, 0x8cc702081a6439ecUL,
    0x90befffa23631e28UL, 0xa4506cebde82bde9UL, 0xbef9a3f7b2c67915UL,
    0xc67178f2e372532bUL, 0xca273eceea26619cUL, 0xd186b8c721c0c207UL,
    0xeada7dd6cde0eb1eUL, 0xf57d4f7fee6ed178UL, 0x06f067aa72176fbaUL,
    0x0a637dc5a2c898a6UL, 0x113f9804bef90daeUL, 0x1b710b35131c471bUL,
    0x28db77f523047d84UL, 0x32caab7b40c72493UL, 0x3c9ebe0a15c9bebcUL,
    0x431d67c49c100d4cUL, 0x4cc5d4becb3e42b6UL, 0x597f299cfc657e2aUL,
    0x5fcb6fab3ad6faecUL, 0x6c44198c4a475817UL};

#define BLOCK_SIZE 128

#define Ch(x, y, z) (z ^ (x & (y ^ z)))
#define Maj(x, y, z) (((x | y) & z) | (x & y))
#define S(x, n) ROR64(x, n)
#define R(x, n) (((x) & 0xFFFFFFFFFFFFFFFFUL) >> ((uint64_t)n))
#define Sigma0(x) (S(x, 28) ^ S(x, 34) ^ S(x, 39))
#define Sigma1(x) (S(x, 14) ^ S(x, 18) ^ S(x, 41))
#define Gamma0(x) (S(x, 1) ^ S(x, 8) ^ R(x, 7))
#define Gamma1(x) (S(x, 19) ^ S(x, 61) ^ R(x, 6))

#define Sha512Round(a, b, c, d, e, f, g, h, i)    \
  t0 = h + Sigma1(e) + Ch(e, f, g) + K[i] + W[i]; \
  t1 = Sigma0(a) + Maj(a, b, c);                  \
  d += t0;                                        \
  h = t0 + t1;

static void sha512_process(sha512_ctx *ctx, uint8_t const *buf)
{
  uint64_t S[8];
  uint64_t W[80];
  uint64_t t0;
  uint64_t t1;
  int i;

  for (i = 0; i < 8; i++)
  {
    S[i] = ctx->state[i];
  }

  for (i = 0; i < 16; i++)
  {
    LOAD64H(W[i], buf + (8 * i));
  }

  for (i = 16; i < 80; i++)
  {
    W[i] = Gamma1(W[i - 2]) + W[i - 7] + Gamma0(W[i - 15]) + W[i - 16];
  }

  for (i = 0; i < 80; i += 8)
  {
    Sha512Round(S[0], S[1], S[2], S[3], S[4], S[5], S[6], S[7], i + 0);
    Sha512Round(S[7], S[0], S[1], S[2], S[3], S[4], S[5], S[6], i + 1);
    Sha512Round(S[6], S[7], S[0], S[1], S[2], S[3], S[4], S[5], i + 2);
    Sha512Round(S[5], S[6], S[7], S[0], S[1], S[2], S[3], S[4], i + 3);
    Sha512Round(S[4], S[5], S[6], S[7], S[0], S[1], S[2], S[3], i + 4);
    Sha512Round(S[3], S[4], S[5], S[6], S[7], S[0], S[1], S[2], i + 5);
    Sha512Round(S[2], S[3], S[4], S[5], S[6], S[7], S[0], S[1], i + 6);
    Sha512Round(S[1], S[2], S[3], S[4], S[5], S[6], S[7], S[0], i + 7);
  }

  for (i = 0; i < 8; i++)
  {
    ctx->state[i] = ctx->state[i] + S[i];
  }
}

void sha512256_init(sha512_ctx *ctx)
{
  ctx->curlen = 0;
  ctx->length = 0;
  ctx->state[0] = 0x22312194FC2BF72CUL;
  ctx->state[1] = 0x9F555FA3C84C64C2UL;
  ctx->state[2] = 0x2393B86B6F53B151UL;
  ctx->state[3] = 0x963877195940EABDUL;
  ctx->state[4] = 0x96283EE2A88EFFE3UL;
  ctx->state[5] = 0xBE5E1E2553863992UL;
  ctx->state[6] = 0x2B0199FC2C85B8AAUL;
  ctx->state[7] = 0x0EB72DDC81C52CA2UL;
}

void sha512_init(sha512_ctx *ctx)
{
  ctx->curlen = 0;
  ctx->length = 0;
  ctx->state[0] = 0x6a09e667f3bcc908UL;
  ctx->state[1] = 0xbb67ae8584caa73bUL;
  ctx->state[2] = 0x3c6ef372fe94f82bUL;
  ctx->state[3] = 0xa54ff53a5f1d36f1UL;
  ctx->state[4] = 0x510e527fade682d1UL;
  ctx->state[5] = 0x9b05688c2b3e6c1fUL;
  ctx->state[6] = 0x1f83d9abfb41bd6bUL;
  ctx->state[7] = 0x5be0cd19137e2179UL;
}

void sha512_finalise(sha512_ctx *ctx, unsigned char *Digest)
{
  int i;

  ctx->length += ctx->curlen * 8UL;
  ctx->buf[ctx->curlen++] = (uint8_t)0x80;

  while (ctx->curlen < 120)
  {
    ctx->buf[ctx->curlen++] = (uint8_t)0;
  }

  STORE64H(ctx->length, ctx->buf + 120);
  sha512_process(ctx, ctx->buf);

  for (i = 0; i < 8; i++)
  {
    STORE64H(ctx->state[i], Digest + (8 * i));
  }
}

void sha512256_finalise(sha512_ctx *ctx, unsigned char *Digest)
{
  int i;

  ctx->length += ctx->curlen * 8UL;
  ctx->buf[ctx->curlen++] = (uint8_t)0x80;

  while (ctx->curlen < 120)
  {
    ctx->buf[ctx->curlen++] = (uint8_t)0;
  }

  STORE64H(ctx->length, ctx->buf + 120);
  sha512_process(ctx, ctx->buf);

  for (i = 0; i < 4; i++)
  {
    STORE64H(ctx->state[i], Digest + (8 * i));
  }
}

void crypto_hash_sha512(void const *input, unsigned char *Digest, const int len)
{
  sha512_ctx context;

  sha512_init(&context);

  memcpy(context.buf, input, len);
  context.curlen += len;

  sha512_finalise(&context, Digest);
}

void crypto_hash_sha512256(void const *input, unsigned char *Digest, const int len)
{
  sha512_ctx context;

  sha512256_init(&context);

  memcpy(context.buf, input, len);
  context.curlen += len;

  sha512256_finalise(&context, Digest);
}

// https://lib25519.cr.yp.to/lib25519-20220726/crypto_dh/x25519/ref10/fe_0.c.html
void fe_0(int *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;
}

// https://lib25519.cr.yp.to/lib25519-20220726/crypto_dh/x25519/ref10/fe_1.c.html
void fe_1(int *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;
}

// https://lib25519.cr.yp.to/lib25519-20220726/crypto_sign/ed25519/ref10/fe_add.c.html
void fe_add(int *h, const int *f, const int *g)
{
  int f0 = f[0];
  int f1 = f[1];
  int f2 = f[2];
  int f3 = f[3];
  int f4 = f[4];
  int f5 = f[5];
  int f6 = f[6];
  int f7 = f[7];
  int f8 = f[8];
  int f9 = f[9];
  int g0 = g[0];
  int g1 = g[1];
  int g2 = g[2];
  int g3 = g[3];
  int g4 = g[4];
  int g5 = g[5];
  int g6 = g[6];
  int g7 = g[7];
  int g8 = g[8];
  int g9 = g[9];
  int h0 = f0 + g0;
  int h1 = f1 + g1;
  int h2 = f2 + g2;
  int h3 = f3 + g3;
  int h4 = f4 + g4;
  int h5 = f5 + g5;
  int h6 = f6 + g6;
  int h7 = f7 + g7;
  int h8 = f8 + g8;
  int 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;
}

// https://lib25519.cr.yp.to/lib25519-20220726/crypto_sign/ed25519/ref10/fe_cmov.c.html
void fe_cmov(int *f, const int *g, unsigned int b)
{
  int f0 = f[0];
  int f1 = f[1];
  int f2 = f[2];
  int f3 = f[3];
  int f4 = f[4];
  int f5 = f[5];
  int f6 = f[6];
  int f7 = f[7];
  int f8 = f[8];
  int f9 = f[9];
  int g0 = g[0];
  int g1 = g[1];
  int g2 = g[2];
  int g3 = g[3];
  int g4 = g[4];
  int g5 = g[5];
  int g6 = g[6];
  int g7 = g[7];
  int g8 = g[8];
  int g9 = g[9];
  int x0 = f0 ^ g0;
  int x1 = f1 ^ g1;
  int x2 = f2 ^ g2;
  int x3 = f3 ^ g3;
  int x4 = f4 ^ g4;
  int x5 = f5 ^ g5;
  int x6 = f6 ^ g6;
  int x7 = f7 ^ g7;
  int x8 = f8 ^ g8;
  int x9 = f9 ^ g9;

  b = (unsigned int)(-(int)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;
}

// https://lib25519.cr.yp.to/lib25519-20230630/crypto_mGnP/ed25519/ref10/fe_copy.c.html
void fe_copy(int *h, const int *f)
{
  int f0 = f[0];
  int f1 = f[1];
  int f2 = f[2];
  int f3 = f[3];
  int f4 = f[4];
  int f5 = f[5];
  int f6 = f[6];
  int f7 = f[7];
  int f8 = f[8];
  int 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;
}

// https://lib25519.cr.yp.to/lib25519-20230630/crypto_mGnP/ed25519/ref10/fe_invert.c.html
void fe_invert(int *out, const int *z)
{
  int t0[10];
  int t1[10];
  int t2[10];
  int t3[10];
  int i;

  // TODO: look into optimizing this:
  // https://lib25519.cr.yp.to/lib25519-20230630/crypto_pow/inv25519/donna_c64/pow.c.html

  // https://lib25519.cr.yp.to/lib25519-20230630/crypto_pow/inv25519/ref10/pow225521.h.html

  fe_sq(t0, z);

  for (i = 1; i < 1; ++i)
  {
    fe_sq(t0, t0);
  }

  fe_sq(t1, t0);

  for (i = 1; i < 2; ++i)
  {
    fe_sq(t1, t1);
  }

  fe_mul(t1, z, t1);
  fe_mul(t0, t0, t1);
  fe_sq(t2, t0);

  for (i = 1; i < 1; ++i)
  {
    fe_sq(t2, t2);
  }

  fe_mul(t1, t1, t2);
  fe_sq(t2, t1);

  for (i = 1; i < 5; ++i)
  {
    fe_sq(t2, t2);
  }

  fe_mul(t1, t2, t1);
  fe_sq(t2, t1);

  for (i = 1; i < 10; ++i)
  {
    fe_sq(t2, t2);
  }

  fe_mul(t2, t2, t1);
  fe_sq(t3, t2);

  for (i = 1; i < 20; ++i)
  {
    fe_sq(t3, t3);
  }

  fe_mul(t2, t3, t2);
  fe_sq(t2, t2);

  for (i = 1; i < 10; ++i)
  {
    fe_sq(t2, t2);
  }

  fe_mul(t1, t2, t1);
  fe_sq(t2, t1);

  for (i = 1; i < 50; ++i)
  {
    fe_sq(t2, t2);
  }

  fe_mul(t2, t2, t1);
  fe_sq(t3, t2);

  for (i = 1; i < 100; ++i)
  {
    fe_sq(t3, t3);
  }

  fe_mul(t2, t3, t2);
  fe_sq(t2, t2);

  for (i = 1; i < 50; ++i)
  {
    fe_sq(t2, t2);
  }

  fe_mul(t1, t2, t1);
  fe_sq(t1, t1);

  for (i = 1; i < 5; ++i)
  {
    fe_sq(t1, t1);
  }

  fe_mul(out, t1, t0);
}

// https://lib25519.cr.yp.to/lib25519-20230630/crypto_mGnP/ed25519/ref10/fe_isnegative.c.html
int fe_isnegative(const int *f)
{
  unsigned char s[32];

  fe_tobytes(s, f);

  return s[0] & 1;
}

// https://lib25519.cr.yp.to/lib25519-20230630/crypto_mGnP/ed25519/ref10/fe_mul.c.html
void fe_mul(int *h, const int *f, const int *g)
{
  int f0 = f[0];
  int f1 = f[1];
  int f2 = f[2];
  int f3 = f[3];
  int f4 = f[4];
  int f5 = f[5];
  int f6 = f[6];
  int f7 = f[7];
  int f8 = f[8];
  int f9 = f[9];
  int g0 = g[0];
  int g1 = g[1];
  int g2 = g[2];
  int g3 = g[3];
  int g4 = g[4];
  int g5 = g[5];
  int g6 = g[6];
  int g7 = g[7];
  int g8 = g[8];
  int g9 = g[9];
  int g1_19 = 19 * g1;
  int g2_19 = 19 * g2;
  int g3_19 = 19 * g3;
  int g4_19 = 19 * g4;
  int g5_19 = 19 * g5;
  int g6_19 = 19 * g6;
  int g7_19 = 19 * g7;
  int g8_19 = 19 * g8;
  int g9_19 = 19 * g9;
  int f1_2 = 2 * f1;
  int f3_2 = 2 * f3;
  int f5_2 = 2 * f5;
  int f7_2 = 2 * f7;
  int f9_2 = 2 * f9;
  long f0g0 = f0 * (long)g0;
  long f0g1 = f0 * (long)g1;
  long f0g2 = f0 * (long)g2;
  long f0g3 = f0 * (long)g3;
  long f0g4 = f0 * (long)g4;
  long f0g5 = f0 * (long)g5;
  long f0g6 = f0 * (long)g6;
  long f0g7 = f0 * (long)g7;
  long f0g8 = f0 * (long)g8;
  long f0g9 = f0 * (long)g9;
  long f1g0 = f1 * (long)g0;
  long f1g1_2 = f1_2 * (long)g1;
  long f1g2 = f1 * (long)g2;
  long f1g3_2 = f1_2 * (long)g3;
  long f1g4 = f1 * (long)g4;
  long f1g5_2 = f1_2 * (long)g5;
  long f1g6 = f1 * (long)g6;
  long f1g7_2 = f1_2 * (long)g7;
  long f1g8 = f1 * (long)g8;
  long f1g9_38 = f1_2 * (long)g9_19;
  long f2g0 = f2 * (long)g0;
  long f2g1 = f2 * (long)g1;
  long f2g2 = f2 * (long)g2;
  long f2g3 = f2 * (long)g3;
  long f2g4 = f2 * (long)g4;
  long f2g5 = f2 * (long)g5;
  long f2g6 = f2 * (long)g6;
  long f2g7 = f2 * (long)g7;
  long f2g8_19 = f2 * (long)g8_19;
  long f2g9_19 = f2 * (long)g9_19;
  long f3g0 = f3 * (long)g0;
  long f3g1_2 = f3_2 * (long)g1;
  long f3g2 = f3 * (long)g2;
  long f3g3_2 = f3_2 * (long)g3;
  long f3g4 = f3 * (long)g4;
  long f3g5_2 = f3_2 * (long)g5;
  long f3g6 = f3 * (long)g6;
  long f3g7_38 = f3_2 * (long)g7_19;
  long f3g8_19 = f3 * (long)g8_19;
  long f3g9_38 = f3_2 * (long)g9_19;
  long f4g0 = f4 * (long)g0;
  long f4g1 = f4 * (long)g1;
  long f4g2 = f4 * (long)g2;
  long f4g3 = f4 * (long)g3;
  long f4g4 = f4 * (long)g4;
  long f4g5 = f4 * (long)g5;
  long f4g6_19 = f4 * (long)g6_19;
  long f4g7_19 = f4 * (long)g7_19;
  long f4g8_19 = f4 * (long)g8_19;
  long f4g9_19 = f4 * (long)g9_19;
  long f5g0 = f5 * (long)g0;
  long f5g1_2 = f5_2 * (long)g1;
  long f5g2 = f5 * (long)g2;
  long f5g3_2 = f5_2 * (long)g3;
  long f5g4 = f5 * (long)g4;
  long f5g5_38 = f5_2 * (long)g5_19;
  long f5g6_19 = f5 * (long)g6_19;
  long f5g7_38 = f5_2 * (long)g7_19;
  long f5g8_19 = f5 * (long)g8_19;
  long f5g9_38 = f5_2 * (long)g9_19;
  long f6g0 = f6 * (long)g0;
  long f6g1 = f6 * (long)g1;
  long f6g2 = f6 * (long)g2;
  long f6g3 = f6 * (long)g3;
  long f6g4_19 = f6 * (long)g4_19;
  long f6g5_19 = f6 * (long)g5_19;
  long f6g6_19 = f6 * (long)g6_19;
  long f6g7_19 = f6 * (long)g7_19;
  long f6g8_19 = f6 * (long)g8_19;
  long f6g9_19 = f6 * (long)g9_19;
  long f7g0 = f7 * (long)g0;
  long f7g1_2 = f7_2 * (long)g1;
  long f7g2 = f7 * (long)g2;
  long f7g3_38 = f7_2 * (long)g3_19;
  long f7g4_19 = f7 * (long)g4_19;
  long f7g5_38 = f7_2 * (long)g5_19;
  long f7g6_19 = f7 * (long)g6_19;
  long f7g7_38 = f7_2 * (long)g7_19;
  long f7g8_19 = f7 * (long)g8_19;
  long f7g9_38 = f7_2 * (long)g9_19;
  long f8g0 = f8 * (long)g0;
  long f8g1 = f8 * (long)g1;
  long f8g2_19 = f8 * (long)g2_19;
  long f8g3_19 = f8 * (long)g3_19;
  long f8g4_19 = f8 * (long)g4_19;
  long f8g5_19 = f8 * (long)g5_19;
  long f8g6_19 = f8 * (long)g6_19;
  long f8g7_19 = f8 * (long)g7_19;
  long f8g8_19 = f8 * (long)g8_19;
  long f8g9_19 = f8 * (long)g9_19;
  long f9g0 = f9 * (long)g0;
  long f9g1_38 = f9_2 * (long)g1_19;
  long f9g2_19 = f9 * (long)g2_19;
  long f9g3_38 = f9_2 * (long)g3_19;
  long f9g4_19 = f9 * (long)g4_19;
  long f9g5_38 = f9_2 * (long)g5_19;
  long f9g6_19 = f9 * (long)g6_19;
  long f9g7_38 = f9_2 * (long)g7_19;
  long f9g8_19 = f9 * (long)g8_19;
  long f9g9_38 = f9_2 * (long)g9_19;
  long h0 = f0g0 + f1g9_38 + f2g8_19 + f3g7_38 + f4g6_19 + f5g5_38 + f6g4_19 +
            f7g3_38 + f8g2_19 + f9g1_38;
  long h1 = f0g1 + f1g0 + f2g9_19 + f3g8_19 + f4g7_19 + f5g6_19 + f6g5_19 +
            f7g4_19 + f8g3_19 + f9g2_19;
  long h2 = f0g2 + f1g1_2 + f2g0 + f3g9_38 + f4g8_19 + f5g7_38 + f6g6_19 +
            f7g5_38 + f8g4_19 + f9g3_38;
  long h3 = f0g3 + f1g2 + f2g1 + f3g0 + f4g9_19 + f5g8_19 + f6g7_19 + f7g6_19 +
            f8g5_19 + f9g4_19;
  long h4 = f0g4 + f1g3_2 + f2g2 + f3g1_2 + f4g0 + f5g9_38 + f6g8_19 + f7g7_38 +
            f8g6_19 + f9g5_38;
  long h5 = f0g5 + f1g4 + f2g3 + f3g2 + f4g1 + f5g0 + f6g9_19 + f7g8_19 +
            f8g7_19 + f9g6_19;
  long h6 = f0g6 + f1g5_2 + f2g4 + f3g3_2 + f4g2 + f5g1_2 + f6g0 + f7g9_38 +
            f8g8_19 + f9g7_38;
  long h7 =
      f0g7 + f1g6 + f2g5 + f3g4 + f4g3 + f5g2 + f6g1 + f7g0 + f8g9_19 + f9g8_19;
  long h8 = f0g8 + f1g7_2 + f2g6 + f3g5_2 + f4g4 + f5g3_2 + f6g2 + f7g1_2 +
            f8g0 + f9g9_38;
  long h9 = f0g9 + f1g8 + f2g7 + f3g6 + f4g5 + f5g4 + f6g3 + f7g2 + f8g1 + f9g0;
  long carry0;
  long carry1;
  long carry2;
  long carry3;
  long carry4;
  long carry5;
  long carry6;
  long carry7;
  long carry8;
  long carry9;

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

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

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

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

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

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

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

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

// https://lib25519.cr.yp.to/lib25519-20230630/crypto_mGnP/ed25519/ref10/fe_neg.c.html
void fe_neg(int *h, const int *f)
{
  int f0 = f[0];
  int f1 = f[1];
  int f2 = f[2];
  int f3 = f[3];
  int f4 = f[4];
  int f5 = f[5];
  int f6 = f[6];
  int f7 = f[7];
  int f8 = f[8];
  int f9 = f[9];
  int h0 = -f0;
  int h1 = -f1;
  int h2 = -f2;
  int h3 = -f3;
  int h4 = -f4;
  int h5 = -f5;
  int h6 = -f6;
  int h7 = -f7;
  int h8 = -f8;
  int 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;
}

// https://lib25519.cr.yp.to/lib25519-20230630/crypto_mGnP/ed25519/ref10/fe_sq.c.html
void fe_sq(int *h, const int *f)
{
  int16 fs = *(int16*)f;

  int16 fs_2 = fs * 2;

  int f5_38 = 38 * fs[5];
  int f6_19 = 19 * fs[6];
  int f7_38 = 38 * fs[7];
  int f8_19 = 19 * fs[8];
  int f9_38 = 38 * fs[9];
  
  long16 f0fs_2 = (long16)(
    (long)fs[0],
    (long)fs[1],
    (long)fs[2],
    (long)fs[3],
    (long)fs[4],
    (long)fs[5],
    (long)fs[6],
    (long)fs[7],
    (long)fs[8],
    (long)fs[9],
    0,
    0,
    0,
    0,
    0,
    0)
    *
    (long16)(
    fs[0],
    fs_2[0],
    fs_2[0],
    fs_2[0],
    fs_2[0],
    fs_2[0],
    fs_2[0],
    fs_2[0],
    fs_2[0],
    fs_2[0],
    0, 0, 0, 0, 0, 0
    );

  long16 f1fs_2_4_76 = (long16)(
    (long)f9_38,
    0,
    (long)fs[1],
    (long)fs[2],
    (long)fs_2[3],
    (long)fs[4],
    (long)fs_2[5],
    (long)fs[6],
    (long)fs_2[7],
    (long)fs[8],
    0, 0, 0, 0, 0, 0
  ) * fs_2[1];

  long16 f2fs_1_2_38 = (long16)(
    (long)f8_19,
    (long)f9_38,
    0,
    0,
    (long)fs[2],
    (long)fs[3],
    (long)fs[4],
    (long)fs[5],
    (long)fs[6],
    (long)fs[7],
    0, 0, 0, 0, 0, 0
  ) * (long16)(
    fs_2[2],
    fs[2],
    0,
    0,
    fs[2],
    fs_2[2],
    fs_2[2],
    fs_2[2],
    fs_2[2],
    fs_2[2],
    0, 0, 0, 0, 0, 0
  );
  
  long16 f3fs_2_3_38_76 = (long16)(
    (long)f7_38,
    (long)f8_19,
    (long)f9_38,
    0,
    0,
    0,
    (long)fs[3],
    (long)fs[4],
    (long)fs_2[5],
    (long)fs[6],
    0, 0, 0, 0, 0, 0
  ) * fs_2[3];

  long16 f4fs_1_2_38 = (long16)(
    (long)f6_19,
    (long)f7_38,
    (long)f8_19,
    (long)f9_38,
    0,
    0,
    0,
    0,
    (long)fs[4],
    (long)fs[5],
    0, 0, 0, 0, 0, 0
  ) * (long16)(
    fs_2[4],
    fs[4],
    fs_2[4],
    fs[4],
    0,
    0,
    0,
    0,
    fs[4],
    fs_2[4],
    0, 0, 0, 0, 0, 0
  );

  long16 f5fs_38_76 = (long16)(
    (long)f5_38,
    (long)f6_19,
    (long)f7_38,
    (long)f8_19,
    (long)f9_38,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
  ) * (long16)(
    fs[5],
    fs_2[5],
    fs_2[5],
    fs_2[5],
    fs_2[5],
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
  );

  long16 f6f2_19_38 = (long16)(
    0,
    0,
    (long)f6_19,
    (long)f7_38,
    (long)f8_19,
    (long)f9_38,
    0,
    0,
    0, 0, 0, 0, 0, 0, 0, 0
  ) * (long16)(
    0,
    0,
    fs[6],
    fs[6],
    fs_2[6],
    fs[6],
    0,
    0, 0, 0, 0, 0, 0, 0, 0, 0
  );

  long16 f7fs_38_76 = (long16)(
    0,
    0,
    0,
    0,
    (long)f7_38,
    (long)f8_19,
    (long)f9_38,
    0, 0, 0, 0, 0, 0, 0, 0, 0
  ) * (long16)(
    0,
    0,
    0,
    0,
    fs[7],
    fs_2[7],
    fs_2[7],
    0, 0, 0, 0, 0, 0, 0, 0, 0
  );

  long16 f8fs_19_38 = (long16)(
    0,
    0,
    0,
    0,
    0,
    0,
    (long)f8_19,
    (long)f9_38,
    0, 0, 0, 0, 0, 0, 0, 0
  ) * fs[8];
  
  long16 f9f9_38 = (long16)(
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    fs[9] * (long)f9_38,
    0,
    0,
    0,
    0,
    0,
    0,
    0);

  long16 hs = f0fs_2 + f1fs_2_4_76 + f2fs_1_2_38 + f3fs_2_3_38_76 + f4fs_1_2_38 + f5fs_38_76 + f6f2_19_38 + f7fs_38_76 + f8fs_19_38 + f9f9_38;

  /*
  long h0 = f0fs_2[0] + f1fs_2_4_76[9] + f2fs_1_2_38[6] + f3fs_2_3_38_76[4] + f4fs_1_2_38[2] + f5fs_38_76[0];
  long h1 = f0fs_2[1]                  + f2fs_1_2_38[7] + f3fs_2_3_38_76[5] + f4fs_1_2_38[3] + f5fs_38_76[1];
  long h2 = f0fs_2[2] + f1fs_2_4_76[1]                  + f3fs_2_3_38_76[6] + f4fs_1_2_38[4] + f5fs_38_76[2] + f6f2_19_38[0];
  long h3 = f0fs_2[3] + f1fs_2_4_76[2]                                      + f4fs_1_2_38[5] + f5fs_38_76[3] + f6f2_19_38[1];
  long h4 = f0fs_2[4] + f1fs_2_4_76[3] + f2fs_1_2_38[0]                                      + f5fs_38_76[4] + f6f2_19_38[2] + f7fs_38_76[0];
  long h5 = f0fs_2[5] + f1fs_2_4_76[4] + f2fs_1_2_38[1]                                                      + f6f2_19_38[3] + f7fs_38_76[1];
  long h6 = f0fs_2[6] + f1fs_2_4_76[5] + f2fs_1_2_38[2] + f3fs_2_3_38_76[0]                                                  + f7fs_38_76[2] + f8fs_19_38[0];
  long h7 = f0fs_2[7] + f1fs_2_4_76[6] + f2fs_1_2_38[3] + f3fs_2_3_38_76[1]                                                                  + f8fs_19_38[1];
  long h8 = f0fs_2[8] + f1fs_2_4_76[7] + f2fs_1_2_38[4] + f3fs_2_3_38_76[2] + f4fs_1_2_38[0]                                                                  + f9f9_38;
  long h9 = f0fs_2[9] + f1fs_2_4_76[8] + f2fs_1_2_38[5] + f3fs_2_3_38_76[3] + f4fs_1_2_38[1];
  */
  long carry0;
  long carry1;
  long carry2;
  long carry3;
  long carry4;
  long carry5;
  long carry6;
  long carry7;
  long carry8;
  long carry9;
  carry0 = (hs[0] + (long)(1 << 25)) >> 26;
  hs[1] += carry0;
  hs[0] -= carry0 << 26;
  carry4 = (hs[4] + (long)(1 << 25)) >> 26;
  hs[5] += carry4;
  hs[4] -= carry4 << 26;
  carry1 = (hs[1] + (long)(1 << 24)) >> 25;
  hs[2] += carry1;
  hs[1] -= carry1 << 25;
  carry5 = (hs[5] + (long)(1 << 24)) >> 25;
  hs[6] += carry5;
  hs[5] -= carry5 << 25;
  carry2 = (hs[2] + (long)(1 << 25)) >> 26;
  hs[3] += carry2;
  hs[2] -= carry2 << 26;
  carry6 = (hs[6] + (long)(1 << 25)) >> 26;
  hs[7] += carry6;
  hs[6] -= carry6 << 26;
  carry3 = (hs[3] + (long)(1 << 24)) >> 25;
  hs[4] += carry3;
  hs[3] -= carry3 << 25;
  carry7 = (hs[7] + (long)(1 << 24)) >> 25;
  hs[8] += carry7;
  hs[7] -= carry7 << 25;
  carry4 = (hs[4] + (long)(1 << 25)) >> 26;
  hs[5] += carry4;
  hs[4] -= carry4 << 26;
  carry8 = (hs[8] + (long)(1 << 25)) >> 26;
  hs[9] += carry8;
  hs[8] -= carry8 << 26;
  carry9 = (hs[9] + (long)(1 << 24)) >> 25;
  hs[0] += carry9 * 19;
  hs[9] -= carry9 << 25;
  carry0 = (hs[0] + (long)(1 << 25)) >> 26;
  hs[1] += carry0;
  hs[0] -= carry0 << 26;
  h[0] = (int)hs[0];
  h[1] = (int)hs[1];
  h[2] = (int)hs[2];
  h[3] = (int)hs[3];
  h[4] = (int)hs[4];
  h[5] = (int)hs[5];
  h[6] = (int)hs[6];
  h[7] = (int)hs[7];
  h[8] = (int)hs[8];
  h[9] = (int)hs[9];
}

// https://lib25519.cr.yp.to/lib25519-20230630/crypto_mGnP/ed25519/ref10/fe_sq2.c.html
void fe_sq2(int *h, const int *f)
{
  int16 fs = *(int16*)f;

  int16 fs_2 = fs * 2;

  int f5_38 = 38 * fs[5];
  int f6_19 = 19 * fs[6];
  int f7_38 = 38 * fs[7];
  int f8_19 = 19 * fs[8];
  int f9_38 = 38 * fs[9];
  
  long16 f0fs_2 = (long16)(
    (long)fs[0],
    (long)fs[1],
    (long)fs[2],
    (long)fs[3],
    (long)fs[4],
    (long)fs[5],
    (long)fs[6],
    (long)fs[7],
    (long)fs[8],
    (long)fs[9],
    0,
    0,
    0,
    0,
    0,
    0)
    *
    (long16)(
    fs[0],
    fs_2[0],
    fs_2[0],
    fs_2[0],
    fs_2[0],
    fs_2[0],
    fs_2[0],
    fs_2[0],
    fs_2[0],
    fs_2[0],
    0, 0, 0, 0, 0, 0
    );

  long16 f1fs_2_4_76 = (long16)(
    (long)f9_38,
    0,
    (long)fs[1],
    (long)fs[2],
    (long)fs_2[3],
    (long)fs[4],
    (long)fs_2[5],
    (long)fs[6],
    (long)fs_2[7],
    (long)fs[8],
    0, 0, 0, 0, 0, 0
  ) * fs_2[1];

  long16 f2fs_1_2_38 = (long16)(
    (long)f8_19,
    (long)f9_38,
    0,
    0,
    (long)fs[2],
    (long)fs[3],
    (long)fs[4],
    (long)fs[5],
    (long)fs[6],
    (long)fs[7],
    0, 0, 0, 0, 0, 0
  ) * (long16)(
    fs_2[2],
    fs[2],
    0,
    0,
    fs[2],
    fs_2[2],
    fs_2[2],
    fs_2[2],
    fs_2[2],
    fs_2[2],
    0, 0, 0, 0, 0, 0
  );
  
  long16 f3fs_2_3_38_76 = (long16)(
    (long)f7_38,
    (long)f8_19,
    (long)f9_38,
    0,
    0,
    0,
    (long)fs[3],
    (long)fs[4],
    (long)fs_2[5],
    (long)fs[6],
    0, 0, 0, 0, 0, 0
  ) * fs_2[3];

  long16 f4fs_1_2_38 = (long16)(
    (long)f6_19,
    (long)f7_38,
    (long)f8_19,
    (long)f9_38,
    0,
    0,
    0,
    0,
    (long)fs[4],
    (long)fs[5],
    0, 0, 0, 0, 0, 0
  ) * (long16)(
    fs_2[4],
    fs[4],
    fs_2[4],
    fs[4],
    0,
    0,
    0,
    0,
    fs[4],
    fs_2[4],
    0, 0, 0, 0, 0, 0
  );

  long16 f5fs_38_76 = (long16)(
    (long)f5_38,
    (long)f6_19,
    (long)f7_38,
    (long)f8_19,
    (long)f9_38,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
  ) * (long16)(
    fs[5],
    fs_2[5],
    fs_2[5],
    fs_2[5],
    fs_2[5],
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
  );

  long16 f6f2_19_38 = (long16)(
    0,
    0,
    (long)f6_19,
    (long)f7_38,
    (long)f8_19,
    (long)f9_38,
    0,
    0,
    0, 0, 0, 0, 0, 0, 0, 0
  ) * (long16)(
    0,
    0,
    fs[6],
    fs[6],
    fs_2[6],
    fs[6],
    0,
    0, 0, 0, 0, 0, 0, 0, 0, 0
  );

  long16 f7fs_38_76 = (long16)(
    0,
    0,
    0,
    0,
    (long)f7_38,
    (long)f8_19,
    (long)f9_38,
    0, 0, 0, 0, 0, 0, 0, 0, 0
  ) * (long16)(
    0,
    0,
    0,
    0,
    fs[7],
    fs_2[7],
    fs_2[7],
    0, 0, 0, 0, 0, 0, 0, 0, 0
  );

  long16 f8fs_19_38 = (long16)(
    0,
    0,
    0,
    0,
    0,
    0,
    (long)f8_19,
    (long)f9_38,
    0, 0, 0, 0, 0, 0, 0, 0
  ) * fs[8];
  
  long16 f9f9_38 = (long16)(
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    fs[9] * (long)f9_38,
    0,
    0,
    0,
    0,
    0,
    0,
    0);

  long16 hs = f0fs_2 + f1fs_2_4_76 + f2fs_1_2_38 + f3fs_2_3_38_76 + f4fs_1_2_38 + f5fs_38_76 + f6f2_19_38 + f7fs_38_76 + f8fs_19_38 + f9f9_38;
  hs = hs + hs;

  long carry0;
  long carry1;
  long carry2;
  long carry3;
  long carry4;
  long carry5;
  long carry6;
  long carry7;
  long carry8;
  long carry9;
  carry0 = (hs[0] + (long)(1 << 25)) >> 26;
  hs[1] += carry0;
  hs[0] -= carry0 << 26;
  carry4 = (hs[4] + (long)(1 << 25)) >> 26;
  hs[5] += carry4;
  hs[4] -= carry4 << 26;
  carry1 = (hs[1] + (long)(1 << 24)) >> 25;
  hs[2] += carry1;
  hs[1] -= carry1 << 25;
  carry5 = (hs[5] + (long)(1 << 24)) >> 25;
  hs[6] += carry5;
  hs[5] -= carry5 << 25;
  carry2 = (hs[2] + (long)(1 << 25)) >> 26;
  hs[3] += carry2;
  hs[2] -= carry2 << 26;
  carry6 = (hs[6] + (long)(1 << 25)) >> 26;
  hs[7] += carry6;
  hs[6] -= carry6 << 26;
  carry3 = (hs[3] + (long)(1 << 24)) >> 25;
  hs[4] += carry3;
  hs[3] -= carry3 << 25;
  carry7 = (hs[7] + (long)(1 << 24)) >> 25;
  hs[8] += carry7;
  hs[7] -= carry7 << 25;
  carry4 = (hs[4] + (long)(1 << 25)) >> 26;
  hs[5] += carry4;
  hs[4] -= carry4 << 26;
  carry8 = (hs[8] + (long)(1 << 25)) >> 26;
  hs[9] += carry8;
  hs[8] -= carry8 << 26;
  carry9 = (hs[9] + (long)(1 << 24)) >> 25;
  hs[0] += carry9 * 19;
  hs[9] -= carry9 << 25;
  carry0 = (hs[0] + (long)(1 << 25)) >> 26;
  hs[1] += carry0;
  hs[0] -= carry0 << 26;
  h[0] = (int)hs[0];
  h[1] = (int)hs[1];
  h[2] = (int)hs[2];
  h[3] = (int)hs[3];
  h[4] = (int)hs[4];
  h[5] = (int)hs[5];
  h[6] = (int)hs[6];
  h[7] = (int)hs[7];
  h[8] = (int)hs[8];
  h[9] = (int)hs[9];
}

// https://lib25519.cr.yp.to/lib25519-20230630/crypto_mGnP/ed25519/ref10/fe_sub.c.html
void fe_sub(int *h, const int *f, const int *g)
{
  int f0 = f[0];
  int f1 = f[1];
  int f2 = f[2];
  int f3 = f[3];
  int f4 = f[4];
  int f5 = f[5];
  int f6 = f[6];
  int f7 = f[7];
  int f8 = f[8];
  int f9 = f[9];
  int g0 = g[0];
  int g1 = g[1];
  int g2 = g[2];
  int g3 = g[3];
  int g4 = g[4];
  int g5 = g[5];
  int g6 = g[6];
  int g7 = g[7];
  int g8 = g[8];
  int g9 = g[9];
  int h0 = f0 - g0;
  int h1 = f1 - g1;
  int h2 = f2 - g2;
  int h3 = f3 - g3;
  int h4 = f4 - g4;
  int h5 = f5 - g5;
  int h6 = f6 - g6;
  int h7 = f7 - g7;
  int h8 = f8 - g8;
  int 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;
}

// https://lib25519.cr.yp.to/lib25519-20230630/crypto_mGnP/ed25519/ref10/fe_tobytes.c.html
void fe_tobytes(unsigned char *s, const int *h)
{
  int h0 = h[0];
  int h1 = h[1];
  int h2 = h[2];
  int h3 = h[3];
  int h4 = h[4];
  int h5 = h[5];
  int h6 = h[6];
  int h7 = h[7];
  int h8 = h[8];
  int h9 = h[9];
  int q;
  int carry0;
  int carry1;
  int carry2;
  int carry3;
  int carry4;
  int carry5;
  int carry6;
  int carry7;
  int carry8;
  int carry9;
  q = (19 * h9 + (((int)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;

  h0 += 19 * q;

  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;

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

// https://lib25519.cr.yp.to/lib25519-20220726/crypto_sign/ed25519/ref10/base.h.html
static const ge_precomp 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},
            {16568933, 4717097, -11556148, -1102322, 15682896, -11807043, 16354577, -11775962, 7689662, 11199574},
            {30464156, -5976125, -11779434, -15670865, 23220365, 15915852, 7512774, 10017326, -17749093, -9920357},
        },
        {
            {-17036878, 13921892, 10945806, -6033431, 27105052, -16084379, -28926210, 15006023, 3284568, -6276540},
            {23599295, -8306047, -11193664, -7687416, 13236774, 10506355, 7464579, 9656445, 13059162, 10374397},
            {7798556, 16710257, 3033922, 2874086, 28997861, 2835604, 32406664, -3839045, -641708, -101325},
        },
        {
            {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},
        },
        {
            {-15371964, -12862754, 32573250, 4720197, -26436522, 5875511, -19188627, -15224819, -9818940, -12085777},
            {-8549212, 109983, 15149363, 2178705, 22900618, 4543417, 3044240, -15689887, 1762328, 14866737},
            {-18199695, -15951423, -10473290, 1707278, -17185920, 3916101, -28236412, 3959421, 27914454, 4383652},
        },
        {
            {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},
        },
        {
            {14499471, -2729599, -33191113, -4254652, 28494862, 14271267, 30290735, 10876454, -33154098, 2381726},
            {-7195431, -2655363, -14730155, 462251, -27724326, 3941372, -6236617, 3696005, -32300832, 15351955},
            {27431194, 8222322, 16448760, -3907995, -18707002, 11938355, -32961401, -2970515, 29551813, 10109425},
        },
    },
    {
        {
            {-13657040, -13155431, -31283750, 11777098, 21447386, 6519384, -2378284, -1627556, 10092783, -4764171},
            {27939166, 14210322, 4677035, 16277044, -22964462, -12398139, -32508754, 12005538, -17810127, 12803510},
            {17228999, -15661624, -1233527, 300140, -1224870, -11714777, 30364213, -9038194, 18016357, 4397660},
        },
        {
            {-10958843, -7690207, 4776341, -14954238, 27850028, -15602212, -26619106, 14544525, -17477504, 982639},
            {29253598, 15796703, -2863982, -9908884, 10057023, 3163536, 7332899, -4120128, -21047696, 9934963},
            {5793303, 16271923, -24131614, -10116404, 29188560, 1206517, -14747930, 4559895, -30123922, -10897950},
        },
        {
            {-27643952, -11493006, 16282657, -11036493, 28414021, -15012264, 24191034, 4541697, -13338309, 5500568},
            {12650548, -1497113, 9052871, 11355358, -17680037, -8400164, -17430592, 12264343, 10874051, 13524335},
            {25556948, -3045990, 714651, 2510400, 23394682, -10415330, 33119038, 5080568, -22528059, 5376628},
        },
        {
            {-26088264, -4011052, -17013699, -3537628, -6726793, 1920897, -22321305, -9447443, 4535768, 1569007},
            {-2255422, 14606630, -21692440, -8039818, 28430649, 8775819, -30494562, 3044290, 31848280, 12543772},
            {-22028579, 2943893, -31857513, 6777306, 13784462, -4292203, -27377195, -2062731, 7718482, 14474653},
        },
        {
            {2385315, 2454213, -22631320, 46603, -4437935, -15680415, 656965, -7236665, 24316168, -5253567},
            {13741529, 10911568, -33233417, -8603737, -20177830, -1033297, 33040651, -13424532, -20729456, 8321686},
            {21060490, -2212744, 15712757, -4336099, 1639040, 10656336, 23845965, -11874838, -9984458, 608372},
        },
        {
            {-13672732, -15087586, -10889693, -7557059, -6036909, 11305547, 1123968, -6780577, 27229399, 23887},
            {-23244140, -294205, -11744728, 14712571, -29465699, -2029617, 12797024, -6440308, -1633405, 16678954},
            {-29500620, 4770662, -16054387, 14001338, 7830047, 9564805, -1508144, -4795045, -17169265, 4904953},
        },
        {
            {24059557, 14617003, 19037157, -15039908, 19766093, -14906429, 5169211, 16191880, 2128236, -4326833},
            {-16981152, 4124966, -8540610, -10653797, 30336522, -14105247, -29806336, 916033, -6882542, -2986532},
            {-22630907, 12419372, -7134229, -7473371, -16478904, 16739175, 285431, 2763829, 15736322, 4143876},
        },
        {
            {2379352, 11839345, -4110402, -5988665, 11274298, 794957, 212801, -14594663, 23527084, -16458268},
            {33431127, -11130478, -17838966, -15626900, 8909499, 8376530, -32625340, 4087881, -15188911, -14416214},
            {1767683, 7197987, -13205226, -2022635, -13091350, 448826, 5799055, 4357868, -4774191, -16323038},
        },
    },
    {
        {
            {6721966, 13833823, -23523388, -1551314, 26354293, -11863321, 23365147, -3949732, 7390890, 2759800},
            {4409041, 2052381, 23373853, 10530217, 7676779, -12885954, 21302353, -4264057, 1244380, -12919645},
            {-4421239, 7169619, 4982368, -2957590, 30256825, -2777540, 14086413, 9208236, 15886429, 16489664},
        },
        {
            {1996075, 10375649, 14346367, 13311202, -6874135, -16438411, -13693198, 398369, -30606455, -712933},
            {-25307465, 9795880, -2777414, 14878809, -33531835, 14780363, 13348553, 12076947, -30836462, 5113182},
            {-17770784, 11797796, 31950843, 13929123, -25888302, 12288344, -30341101, -7336386, 13847711, 5387222},
        },
        {
            {-18582163, -3416217, 17824843, -2340966, 22744343, -10442611, 8763061, 3617786, -19600662, 10370991},
            {20246567, -14369378, 22358229, -543712, 18507283, -10413996, 14554437, -8746092, 32232924, 16763880},
            {9648505, 10094563, 26416693, 14745928, -30374318, -6472621, 11094161, 15689506, 3140038, -16510092},
        },
        {
            {-16160072, 5472695, 31895588, 4744994, 8823515, 10365685, -27224800, 9448613, -28774454, 366295},
            {19153450, 11523972, -11096490, -6503142, -24647631, 5420647, 28344573, 8041113, 719605, 11671788},
            {8678025, 2694440, -6808014, 2517372, 4964326, 11152271, -15432916, -15266516, 27000813, -10195553},
        },
        {
            {-15157904, 7134312, 8639287, -2814877, -7235688, 10421742, 564065, 5336097, 6750977, -14521026},
            {11836410, -3979488, 26297894, 16080799, 23455045, 15735944, 1695823, -8819122, 8169720, 16220347},
            {-18115838, 8653647, 17578566, -6092619, -8025777, -16012763, -11144307, -2627664, -5990708, -14166033},
        },
        {
            {-23308498, -10968312, 15213228, -10081214, -30853605, -11050004, 27884329, 2847284, 2655861, 1738395},
            {-27537433, -14253021, -25336301, -8002780, -9370762, 8129821, 21651608, -3239336, -19087449, -11005278},
            {1533110, 3437855, 23735889, 459276, 29970501, 11335377, 26030092, 5821408, 10478196, 8544890},
        },
        {
            {32173121, -16129311, 24896207, 3921497, 22579056, -3410854, 19270449, 12217473, 17789017, -3395995},
            {-30552961, -2228401, -15578829, -10147201, 13243889, 517024, 15479401, -3853233, 30460520, 1052596},
            {-11614875, 13323618, 32618793, 8175907, -15230173, 12596687, 27491595, -4612359, 3179268, -9478891},
        },
        {
            {31947069, -14366651, -4640583, -15339921, -15125977, -6039709, -14756777, -16411740, 19072640, -9511060},
            {11685058, 11822410, 3158003, -13952594, 33402194, -4165066, 5977896, -5215017, 473099, 5040608},
            {-20290863, 8198642, -27410132, 11602123, 1290375, -2799760, 28326862, 1721092, -19558642, -3131606},
        },
    },
    {
        {
            {7881532, 10687937, 7578723, 7738378, -18951012, -2553952, 21820786, 8076149, -27868496, 11538389},
            {-19935666, 3899861, 18283497, -6801568, -15728660, -11249211, 8754525, 7446702, -5676054, 5797016},
            {-11295600, -3793569, -15782110, -7964573, 12708869, -8456199, 2014099, -9050574, -2369172, -5877341},
        },
        {
            {-22472376, -11568741, -27682020, 1146375, 18956691, 16640559, 1192730, -3714199, 15123619, 10811505},
            {14352098, -3419715, -18942044, 10822655, 32750596, 4699007, -70363, 15776356, -28886779, -11974553},
            {-28241164, -8072475, -4978962, -5315317, 29416931, 1847569, -20654173, -16484855, 4714547, -9600655},
        },
        {
            {15200332, 8368572, 19679101, 15970074, -31872674, 1959451, 24611599, -4543832, -11745876, 12340220},
            {12876937, -10480056, 33134381, 6590940, -6307776, 14872440, 9613953, 8241152, 15370987, 9608631},
            {-4143277, -12014408, 8446281, -391603, 4407738, 13629032, -7724868, 15866074, -28210621, -8814099},
        },
        {
            {26660628, -15677655, 8393734, 358047, -7401291, 992988, -23904233, 858697, 20571223, 8420556},
            {14620715, 13067227, -15447274, 8264467, 14106269, 15080814, 33531827, 12516406, -21574435, -12476749},
            {236881, 10476226, 57258, -14677024, 6472998, 2466984, 17258519, 7256740, 8791136, 15069930},
        },
        {
            {1276410, -9371918, 22949635, -16322807, -23493039, -5702186, 14711875, 4874229, -30663140, -2331391},
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            {-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},
        },
    },
};

// https://lib25519.cr.yp.to/lib25519-20220726/crypto_sign/ed25519/ref10/ge_madd.c.html
// https://lib25519.cr.yp.to/lib25519-20220726/crypto_sign/ed25519/ref10/ge_madd.h.html
void ge_madd(ge_p1p1 *r, const ge_p3 *p, const ge_precomp *q)
{
  int t0[10];

  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);
}

// https://lib25519.cr.yp.to/lib25519-20220726/crypto_sign/ed25519/ref10/ge_p1p1_to_p2.c.html
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);
}

// https://lib25519.cr.yp.to/lib25519-20220726/crypto_sign/ed25519/ref10/ge_p1p1_to_p3.c.html
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);
}

// https://lib25519.cr.yp.to/lib25519-20220726/crypto_sign/ed25519/ref10/ge_p2_dbl.c.html
// https://lib25519.cr.yp.to/lib25519-20220726/crypto_sign/ed25519/ref10/ge_p2_dbl.h.html
void ge_p2_dbl(ge_p1p1 *r, const ge_p2 *p)
{
  int t0[10];

  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);
}

// https://lib25519.cr.yp.to/lib25519-20220726/crypto_sign/ed25519/ref10/ge_p3_0.c.html
void ge_p3_0(ge_p3 *h)
{
  fe_0(h->X);
  fe_1(h->Y);
  fe_1(h->Z);
  fe_0(h->T);
}

// https://lib25519.cr.yp.to/lib25519-20220726/crypto_sign/ed25519/ref10/ge_p3_dbl.c.html
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);
}

// https://lib25519.cr.yp.to/lib25519-20220726/crypto_sign/ed25519/ref10/ge_p3_to_p2.c.html
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);
}

// https://lib25519.cr.yp.to/lib25519-20230630/crypto_mGnP/ed25519/ref10/ge_tobytes.c.html
void ge_p3_tobytes(unsigned char *s, const ge_p3 *h)
{
  int recip[10];
  int x[10];
  int y[10];

  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;
}

// https://lib25519.cr.yp.to/lib25519-20220726/crypto_sign/ed25519/ref10/ge_scalarmult_base.c.html
static unsigned char equal(signed char b, signed char c)
{
  unsigned char ub = b;
  unsigned char uc = c;
  unsigned char x = ub ^ uc;
  uint64_t y = x;
  y -= 1;
  y >>= 63;
  return (unsigned char)y;
}

// https://lib25519.cr.yp.to/lib25519-20220726/crypto_sign/ed25519/ref10/ge_scalarmult_base.c.html
static unsigned char negative(signed char b)
{
  uint64_t x = b;
  x >>= 63;
  return (unsigned char)x;
}

// https://lib25519.cr.yp.to/lib25519-20220726/crypto_sign/ed25519/ref10/ge_scalarmult_base.c.html
static void 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);
}

// https://lib25519.cr.yp.to/lib25519-20220726/crypto_sign/ed25519/ref10/ge_scalarmult_base.c.html
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);

  // https://lib25519.cr.yp.to/lib25519-20220426/crypto_sign/ed25519/ref10/ge_precomp_0.c.html
  fe_1(t->yplusx);
  fe_1(t->yminusx);
  fe_0(t->xy2d);

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

// https://lib25519.cr.yp.to/lib25519-20220726/crypto_sign/ed25519/ref10/ge_scalarmult_base.c.html
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;
  }

  carry = 0;

  for (i = 0; i < 63; ++i)
  {
    e[i] += carry;
    carry = e[i] + 8;
    carry >>= 4;
    e[i] -= carry << 4;
  }

  e[63] += carry;

  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);
  }
}

const char base32_map[33] = "ABCDEFGHIJKLMNOPQRSTUVWXYZ234567";
const char msig_header[14] = "MultisigAddr\x01\x01";

static void base32_addr(unsigned char *src, unsigned char* dest)
{
  int didx = 0;
  const int srclen_bits = 32 * 8;

  #pragma unroll(1)
  for (int i = 0; i < srclen_bits; i += 5)
  {
    int sym;
    int sidx = i / 8;
    int bit_offs = i % 8;

    if (bit_offs <= 3)
    {
      sym = src[sidx] >> (3 - bit_offs);
    }
    else
    {
      sym = src[sidx] << (bit_offs - 3);
      if (i + 1 < srclen_bits)
        sym |= src[sidx + 1] >> (11 - bit_offs);
    }

    sym &= 0x1f;

    if (srclen_bits - i < 5)
      sym &= 0x1f << (5 + i - srclen_bits);

    dest[didx] = base32_map[sym];
    ++didx;
  }
}

static unsigned char test_base32_addr(const unsigned char* b32, const unsigned char prefix_length, const unsigned char* prefix)
{
    for (int i = 0; i < prefix_length; i++)
    {
        if(b32[i] != prefix[i])
            return 0;
    }

    return 1;
}

// https://lib25519.cr.yp.to/lib25519-20220726/crypto_sign/ed25519/ref10/keypair.c.html
void kernel ed25519_create_keypair(
#ifdef CPU
    global const unsigned char *seed,
    global const unsigned char *lengths,
    global const unsigned char *prefix,
    global unsigned char *addr
#else
    global const unsigned char *seed,
    global const unsigned short *size,
    global const unsigned char *lengths,
    global const unsigned char *prefix,
    global unsigned char *counts
#endif
#ifdef MSIG
    ,global const unsigned char *base
#endif
)
{
#ifdef MSIG
  unsigned char az[14+32+32];
#else
  unsigned char az[64];
#endif

  unsigned char pub[32];

  const int i = get_global_id(0);

#ifdef MSIG
  memcpy(az, msig_header, 14);
  memcpy(az + 14, base, 32);
  memcpy(az + 14 + 32, seed + i * 32, 32);

  crypto_hash_sha512256(az, pub, 14+32+32);

#else
  ge_p3 A;

  crypto_hash_sha512(&seed[i * 32], az, 32);
  az[0] &= 248;
  az[31] &= 63;
  az[31] |= 64;

  ge_scalarmult_base(&A, az);
  ge_p3_tobytes(pub, &A);
#endif

#ifdef CPU
  base32_addr(pub, addr + i*54);
#else
  unsigned char addr[54];
  base32_addr(pub, addr);

  const unsigned short count = *size;

  for (unsigned short index = 0; index < count; index++)
  {
    counts[i*count + index] = test_base32_addr(addr, lengths[index], prefix + index*64);
  }
#endif
}