text: // Copyright (c) 2013 Pieter Wuille
  // Distributed under the MIT/X11 software license, see the accompanying
  // file COPYING or http://www.opensource.org/licenses/mit-license.php.
  
  #ifndef _SECP256K1_FIELD_REPR_IMPL_H_
  #define _SECP256K1_FIELD_REPR_IMPL_H_
  
  #include <stdio.h>
  #include <assert.h>
  #include <string.h>
  #include "../num.h"
  #include "../field.h"
  
  void static secp256k1_fe_inner_start(void) {}
  void static secp256k1_fe_inner_stop(void) {}
  
  void static secp256k1_fe_normalize(secp256k1_fe_t *r) {
  //    fog("normalize in: ", r);
      uint32_t c;
      c = r->n[0];
      uint32_t t0 = c & 0x3FFFFFFUL;
      c = (c >> 26) + r->n[1];
      uint32_t t1 = c & 0x3FFFFFFUL;
      c = (c >> 26) + r->n[2];
      uint32_t t2 = c & 0x3FFFFFFUL;
      c = (c >> 26) + r->n[3];
      uint32_t t3 = c & 0x3FFFFFFUL;
      c = (c >> 26) + r->n[4];
      uint32_t t4 = c & 0x3FFFFFFUL;
      c = (c >> 26) + r->n[5];
      uint32_t t5 = c & 0x3FFFFFFUL;
      c = (c >> 26) + r->n[6];
      uint32_t t6 = c & 0x3FFFFFFUL;
      c = (c >> 26) + r->n[7];
      uint32_t t7 = c & 0x3FFFFFFUL;
      c = (c >> 26) + r->n[8];
      uint32_t t8 = c & 0x3FFFFFFUL;
      c = (c >> 26) + r->n[9];
      uint32_t t9 = c & 0x03FFFFFUL;
      c >>= 22;
  /*    r->n[0] = t0; r->n[1] = t1; r->n[2] = t2; r->n[3] = t3; r->n[4] = t4;
      r->n[5] = t5; r->n[6] = t6; r->n[7] = t7; r->n[8] = t8; r->n[9] = t9;
      fog("         tm1: ", r);
      fprintf(stderr, "out c= %08lx\n", (unsigned long)c);*/
  
      // The following code will not modify the t's if c is initially 0.
      uint32_t d = c * 0x3D1UL + t0;
      t0 = d & 0x3FFFFFFULL;
      d = (d >> 26) + t1 + c*0x40;
      t1 = d & 0x3FFFFFFULL;
      d = (d >> 26) + t2;
      t2 = d & 0x3FFFFFFULL;
      d = (d >> 26) + t3;
      t3 = d & 0x3FFFFFFULL;
      d = (d >> 26) + t4;
      t4 = d & 0x3FFFFFFULL;
      d = (d >> 26) + t5;
      t5 = d & 0x3FFFFFFULL;
      d = (d >> 26) + t6;
      t6 = d & 0x3FFFFFFULL;
      d = (d >> 26) + t7;
      t7 = d & 0x3FFFFFFULL;
      d = (d >> 26) + t8;
      t8 = d & 0x3FFFFFFULL;
      d = (d >> 26) + t9;
      t9 = d & 0x03FFFFFULL;
      assert((d >> 22) == 0);
  /*    r->n[0] = t0; r->n[1] = t1; r->n[2] = t2; r->n[3] = t3; r->n[4] = t4;
      r->n[5] = t5; r->n[6] = t6; r->n[7] = t7; r->n[8] = t8; r->n[9] = t9;
      fog("         tm2: ", r); */
  
      // Subtract p if result >= p
      uint64_t low = ((uint64_t)t1 << 26) | t0;
      uint64_t mask = -(int64_t)((t9 < 0x03FFFFFUL) | (t8 < 0x3FFFFFFUL) | (t7 < 0x3FFFFFFUL) | (t6 < 0x3FFFFFFUL) | (t5 < 0x3FFFFFFUL) | (t4 < 0x3FFFFFFUL) | (t3 < 0x3FFFFFFUL) | (t2 < 0x3FFFFFFUL) | (low < 0xFFFFEFFFFFC2FULL));
      t9 &= mask;
      t8 &= mask;
      t7 &= mask;
      t6 &= mask;
      t5 &= mask;
      t4 &= mask;
      t3 &= mask;
      t2 &= mask;
      low -= (~mask & 0xFFFFEFFFFFC2FULL);
  
      // push internal variables back
      r->n[0] = low & 0x3FFFFFFUL; r->n[1] = (low >> 26) & 0x3FFFFFFUL; r->n[2] = t2; r->n[3] = t3; r->n[4] = t4;
      r->n[5] = t5; r->n[6] = t6; r->n[7] = t7; r->n[8] = t8; r->n[9] = t9;
  /*    fog("         out: ", r);*/
  
  #ifdef VERIFY
      r->magnitude = 1;
      r->normalized = 1;
  #endif
  }
  
  void static inline secp256k1_fe_set_int(secp256k1_fe_t *r, int a) {
      r->n[0] = a;
      r->n[1] = r->n[2] = r->n[3] = r->n[4] = r->n[5] = r->n[6] = r->n[7] = r->n[8] = r->n[9] = 0;
  #ifdef VERIFY
      r->magnitude = 1;
      r->normalized = 1;
  #endif
  }
  
  // TODO: not constant time!
  int static inline secp256k1_fe_is_zero(const secp256k1_fe_t *a) {
  #ifdef VERIFY
      assert(a->normalized);
  #endif
      return (a->n[0] == 0 && a->n[1] == 0 && a->n[2] == 0 && a->n[3] == 0 && a->n[4] == 0 && a->n[5] == 0 && a->n[6] == 0 && a->n[7] == 0 && a->n[8] == 0 && a->n[9] == 0);
  }
  
  int static inline secp256k1_fe_is_odd(const secp256k1_fe_t *a) {
  #ifdef VERIFY
      assert(a->normalized);
  #endif
      return a->n[0] & 1;
  }
  
  // TODO: not constant time!
  int static inline secp256k1_fe_equal(const secp256k1_fe_t *a, const secp256k1_fe_t *b) {
  #ifdef VERIFY
      assert(a->normalized);
      assert(b->normalized);
  #endif
      return (a->n[0] == b->n[0] && a->n[1] == b->n[1] && a->n[2] == b->n[2] && a->n[3] == b->n[3] && a->n[4] == b->n[4] &&
              a->n[5] == b->n[5] && a->n[6] == b->n[6] && a->n[7] == b->n[7] && a->n[8] == b->n[8] && a->n[9] == b->n[9]);
  }
  
  void static secp256k1_fe_set_b32(secp256k1_fe_t *r, const unsigned char *a) {
      r->n[0] = r->n[1] = r->n[2] = r->n[3] = r->n[4] = 0;
      r->n[5] = r->n[6] = r->n[7] = r->n[8] = r->n[9] = 0;
      for (int i=0; i<32; i++) {
          for (int j=0; j<4; j++) {
              int limb = (8*i+2*j)/26;
              int shift = (8*i+2*j)%26;
              r->n[limb] |= (uint32_t)((a[31-i] >> (2*j)) & 0x3) << shift;
          }
      }
  #ifdef VERIFY
      r->magnitude = 1;
      r->normalized = 1;
  #endif
  }
  
  /** Convert a field element to a 32-byte big endian value. Requires the input to be normalized */
  void static secp256k1_fe_get_b32(unsigned char *r, const secp256k1_fe_t *a) {
  #ifdef VERIFY
      assert(a->normalized);
  #endif
      for (int i=0; i<32; i++) {
          int c = 0;
          for (int j=0; j<4; j++) {
              int limb = (8*i+2*j)/26;
              int shift = (8*i+2*j)%26;
              c |= ((a->n[limb] >> shift) & 0x3) << (2 * j);
          }
          r[31-i] = c;
      }
  }
  
  void static inline secp256k1_fe_negate(secp256k1_fe_t *r, const secp256k1_fe_t *a, int m) {
  #ifdef VERIFY
      assert(a->magnitude <= m);
      r->magnitude = m + 1;
      r->normalized = 0;
  #endif
      r->n[0] = 0x3FFFC2FUL * (m + 1) - a->n[0];
      r->n[1] = 0x3FFFFBFUL * (m + 1) - a->n[1];
      r->n[2] = 0x3FFFFFFUL * (m + 1) - a->n[2];
      r->n[3] = 0x3FFFFFFUL * (m + 1) - a->n[3];
      r->n[4] = 0x3FFFFFFUL * (m + 1) - a->n[4];
      r->n[5] = 0x3FFFFFFUL * (m + 1) - a->n[5];
      r->n[6] = 0x3FFFFFFUL * (m + 1) - a->n[6];
      r->n[7] = 0x3FFFFFFUL * (m + 1) - a->n[7];
      r->n[8] = 0x3FFFFFFUL * (m + 1) - a->n[8];
      r->n[9] = 0x03FFFFFUL * (m + 1) - a->n[9];
  }
  
  void static inline secp256k1_fe_mul_int(secp256k1_fe_t *r, int a) {
  #ifdef VERIFY
      r->magnitude *= a;
      r->normalized = 0;
  #endif
      r->n[0] *= a;
      r->n[1] *= a;
      r->n[2] *= a;
      r->n[3] *= a;
      r->n[4] *= a;
      r->n[5] *= a;
      r->n[6] *= a;
      r->n[7] *= a;
      r->n[8] *= a;
      r->n[9] *= a;
  }
  
  void static inline secp256k1_fe_add(secp256k1_fe_t *r, const secp256k1_fe_t *a) {
  #ifdef VERIFY
      r->magnitude += a->magnitude;
      r->normalized = 0;
  #endif
      r->n[0] += a->n[0];
      r->n[1] += a->n[1];
      r->n[2] += a->n[2];
      r->n[3] += a->n[3];
      r->n[4] += a->n[4];
      r->n[5] += a->n[5];
      r->n[6] += a->n[6];
      r->n[7] += a->n[7];
      r->n[8] += a->n[8];
      r->n[9] += a->n[9];
  }
  
  void static inline secp256k1_fe_mul_inner(const uint32_t *a, const uint32_t *b, uint32_t *r) {
      uint64_t c = (uint64_t)a[0] * b[0];
      uint32_t t0 = c & 0x3FFFFFFUL; c = c >> 26;
      c = c + (uint64_t)a[0] * b[1] +
              (uint64_t)a[1] * b[0];
      uint32_t t1 = c & 0x3FFFFFFUL; c = c >> 26;
      c = c + (uint64_t)a[0] * b[2] +
              (uint64_t)a[1] * b[1] +
              (uint64_t)a[2] * b[0];
      uint32_t t2 = c & 0x3FFFFFFUL; c = c >> 26;
      c = c + (uint64_t)a[0] * b[3] +
              (uint64_t)a[1] * b[2] +
              (uint64_t)a[2] * b[1] +
              (uint64_t)a[3] * b[0];
      uint32_t t3 = c & 0x3FFFFFFUL; c = c >> 26;
      c = c + (uint64_t)a[0] * b[4] +
              (uint64_t)a[1] * b[3] +
              (uint64_t)a[2] * b[2] +
              (uint64_t)a[3] * b[1] +
              (uint64_t)a[4] * b[0];
      uint32_t t4 = c & 0x3FFFFFFUL; c = c >> 26;
      c = c + (uint64_t)a[0] * b[5] +
              (uint64_t)a[1] * b[4] +
              (uint64_t)a[2] * b[3] +
              (uint64_t)a[3] * b[2] +
              (uint64_t)a[4] * b[1] +
              (uint64_t)a[5] * b[0];
      uint32_t t5 = c & 0x3FFFFFFUL; c = c >> 26;
      c = c + (uint64_t)a[0] * b[6] +
              (uint64_t)a[1] * b[5] +
              (uint64_t)a[2] * b[4] +
              (uint64_t)a[3] * b[3] +
              (uint64_t)a[4] * b[2] +
              (uint64_t)a[5] * b[1] +
              (uint64_t)a[6] * b[0];
      uint32_t t6 = c & 0x3FFFFFFUL; c = c >> 26;
      c = c + (uint64_t)a[0] * b[7] +
              (uint64_t)a[1] * b[6] +
              (uint64_t)a[2] * b[5] +
              (uint64_t)a[3] * b[4] +
              (uint64_t)a[4] * b[3] +
              (uint64_t)a[5] * b[2] +
              (uint64_t)a[6] * b[1] +
              (uint64_t)a[7] * b[0];
      uint32_t t7 = c & 0x3FFFFFFUL; c = c >> 26;
      c = c + (uint64_t)a[0] * b[8] +
              (uint64_t)a[1] * b[7] +
              (uint64_t)a[2] * b[6] +
              (uint64_t)a[3] * b[5] +
              (uint64_t)a[4] * b[4] +
              (uint64_t)a[5] * b[3] +
              (uint64_t)a[6] * b[2] +
              (uint64_t)a[7] * b[1] +
              (uint64_t)a[8] * b[0];
      uint32_t t8 = c & 0x3FFFFFFUL; c = c >> 26;
      c = c + (uint64_t)a[0] * b[9] +
              (uint64_t)a[1] * b[8] +
              (uint64_t)a[2] * b[7] +
              (uint64_t)a[3] * b[6] +
              (uint64_t)a[4] * b[5] +
              (uint64_t)a[5] * b[4] +
              (uint64_t)a[6] * b[3] +
              (uint64_t)a[7] * b[2] +
              (uint64_t)a[8] * b[1] +
              (uint64_t)a[9] * b[0];
      uint32_t t9 = c & 0x3FFFFFFUL; c = c >> 26;
      c = c + (uint64_t)a[1] * b[9] +
              (uint64_t)a[2] * b[8] +
              (uint64_t)a[3] * b[7] +
              (uint64_t)a[4] * b[6] +
              (uint64_t)a[5] * b[5] +
              (uint64_t)a[6] * b[4] +
              (uint64_t)a[7] * b[3] +
              (uint64_t)a[8] * b[2] +
              (uint64_t)a[9] * b[1];
      uint32_t t10 = c & 0x3FFFFFFUL; c = c >> 26;
      c = c + (uint64_t)a[2] * b[9] +
              (uint64_t)a[3] * b[8] +
              (uint64_t)a[4] * b[7] +
              (uint64_t)a[5] * b[6] +
              (uint64_t)a[6] * b[5] +
              (uint64_t)a[7] * b[4] +
              (uint64_t)a[8] * b[3] +
              (uint64_t)a[9] * b[2];
      uint32_t t11 = c & 0x3FFFFFFUL; c = c >> 26;
      c = c + (uint64_t)a[3] * b[9] +
              (uint64_t)a[4] * b[8] +
              (uint64_t)a[5] * b[7] +
              (uint64_t)a[6] * b[6] +
              (uint64_t)a[7] * b[5] +
              (uint64_t)a[8] * b[4] +
              (uint64_t)a[9] * b[3];
      uint32_t t12 = c & 0x3FFFFFFUL; c = c >> 26;
      c = c + (uint64_t)a[4] * b[9] +
              (uint64_t)a[5] * b[8] +
              (uint64_t)a[6] * b[7] +
              (uint64_t)a[7] * b[6] +
              (uint64_t)a[8] * b[5] +
              (uint64_t)a[9] * b[4];
      uint32_t t13 = c & 0x3FFFFFFUL; c = c >> 26;
      c = c + (uint64_t)a[5] * b[9] +
              (uint64_t)a[6] * b[8] +
              (uint64_t)a[7] * b[7] +
              (uint64_t)a[8] * b[6] +
              (uint64_t)a[9] * b[5];
      uint32_t t14 = c & 0x3FFFFFFUL; c = c >> 26;
      c = c + (uint64_t)a[6] * b[9] +
              (uint64_t)a[7] * b[8] +
              (uint64_t)a[8] * b[7] +
              (uint64_t)a[9] * b[6];
      uint32_t t15 = c & 0x3FFFFFFUL; c = c >> 26;
      c = c + (uint64_t)a[7] * b[9] +
              (uint64_t)a[8] * b[8] +
              (uint64_t)a[9] * b[7];
      uint32_t t16 = c & 0x3FFFFFFUL; c = c >> 26;
      c = c + (uint64_t)a[8] * b[9] +
              (uint64_t)a[9] * b[8];
      uint32_t t17 = c & 0x3FFFFFFUL; c = c >> 26;
      c = c + (uint64_t)a[9] * b[9];
      uint32_t t18 = c & 0x3FFFFFFUL; c = c >> 26;
      uint32_t t19 = c;
  
      c = t0 + (uint64_t)t10 * 0x3D10UL;
      t0 = c & 0x3FFFFFFUL; c = c >> 26;
      c = c + t1 + (uint64_t)t10*0x400UL + (uint64_t)t11 * 0x3D10UL;
      t1 = c & 0x3FFFFFFUL; c = c >> 26;
      c = c + t2 + (uint64_t)t11*0x400UL + (uint64_t)t12 * 0x3D10UL;
      t2 = c & 0x3FFFFFFUL; c = c >> 26;
      c = c + t3 + (uint64_t)t12*0x400UL + (uint64_t)t13 * 0x3D10UL;
      r[3] = c & 0x3FFFFFFUL; c = c >> 26;
      c = c + t4 + (uint64_t)t13*0x400UL + (uint64_t)t14 * 0x3D10UL;
      r[4] = c & 0x3FFFFFFUL; c = c >> 26;
      c = c + t5 + (uint64_t)t14*0x400UL + (uint64_t)t15 * 0x3D10UL;
      r[5] = c & 0x3FFFFFFUL; c = c >> 26;
      c = c + t6 + (uint64_t)t15*0x400UL + (uint64_t)t16 * 0x3D10UL;
      r[6] = c & 0x3FFFFFFUL; c = c >> 26;
      c = c + t7 + (uint64_t)t16*0x400UL + (uint64_t)t17 * 0x3D10UL;
      r[7] = c & 0x3FFFFFFUL; c = c >> 26;
      c = c + t8 + (uint64_t)t17*0x400UL + (uint64_t)t18 * 0x3D10UL;
      r[8] = c & 0x3FFFFFFUL; c = c >> 26;
      c = c + t9 + (uint64_t)t18*0x400UL + (uint64_t)t19 * 0x1000003D10ULL;
      r[9] = c & 0x03FFFFFUL; c = c >> 22;
      uint64_t d = t0 + c * 0x3D1UL;
      r[0] = d & 0x3FFFFFFUL; d = d >> 26;
      d = d + t1 + c*0x40;
      r[1] = d & 0x3FFFFFFUL; d = d >> 26;
      r[2] = t2 + d;
  }
  
  void static inline secp256k1_fe_sqr_inner(const uint32_t *a, uint32_t *r) {
      uint64_t c = (uint64_t)a[0] * a[0];
      uint32_t t0 = c & 0x3FFFFFFUL; c = c >> 26;
      c = c + (uint64_t)(a[0]*2) * a[1];
      uint32_t t1 = c & 0x3FFFFFFUL; c = c >> 26;
      c = c + (uint64_t)(a[0]*2) * a[2] +
              (uint64_t)a[1] * a[1];
      uint32_t t2 = c & 0x3FFFFFFUL; c = c >> 26;
      c = c + (uint64_t)(a[0]*2) * a[3] +
              (uint64_t)(a[1]*2) * a[2];
      uint32_t t3 = c & 0x3FFFFFFUL; c = c >> 26;
      c = c + (uint64_t)(a[0]*2) * a[4] +
              (uint64_t)(a[1]*2) * a[3] +
              (uint64_t)a[2] * a[2];
      uint32_t t4 = c & 0x3FFFFFFUL; c = c >> 26;
      c = c + (uint64_t)(a[0]*2) * a[5] +
              (uint64_t)(a[1]*2) * a[4] +
              (uint64_t)(a[2]*2) * a[3];
      uint32_t t5 = c & 0x3FFFFFFUL; c = c >> 26;
      c = c + (uint64_t)(a[0]*2) * a[6] +
              (uint64_t)(a[1]*2) * a[5] +
              (uint64_t)(a[2]*2) * a[4] +
              (uint64_t)a[3] * a[3];
      uint32_t t6 = c & 0x3FFFFFFUL; c = c >> 26;
      c = c + (uint64_t)(a[0]*2) * a[7] +
              (uint64_t)(a[1]*2) * a[6] +
              (uint64_t)(a[2]*2) * a[5] +
              (uint64_t)(a[3]*2) * a[4];
      uint32_t t7 = c & 0x3FFFFFFUL; c = c >> 26;
      c = c + (uint64_t)(a[0]*2) * a[8] +
              (uint64_t)(a[1]*2) * a[7] +
              (uint64_t)(a[2]*2) * a[6] +
              (uint64_t)(a[3]*2) * a[5] +
              (uint64_t)a[4] * a[4];
      uint32_t t8 = c & 0x3FFFFFFUL; c = c >> 26;
      c = c + (uint64_t)(a[0]*2) * a[9] +
              (uint64_t)(a[1]*2) * a[8] +
              (uint64_t)(a[2]*2) * a[7] +
              (uint64_t)(a[3]*2) * a[6] +
              (uint64_t)(a[4]*2) * a[5];
      uint32_t t9 = c & 0x3FFFFFFUL; c = c >> 26;
      c = c + (uint64_t)(a[1]*2) * a[9] +
              (uint64_t)(a[2]*2) * a[8] +
              (uint64_t)(a[3]*2) * a[7] +
              (uint64_t)(a[4]*2) * a[6] +
              (uint64_t)a[5] * a[5];
      uint32_t t10 = c & 0x3FFFFFFUL; c = c >> 26;
      c = c + (uint64_t)(a[2]*2) * a[9] +
              (uint64_t)(a[3]*2) * a[8] +
              (uint64_t)(a[4]*2) * a[7] +
              (uint64_t)(a[5]*2) * a[6];
      uint32_t t11 = c & 0x3FFFFFFUL; c = c >> 26;
      c = c + (uint64_t)(a[3]*2) * a[9] +
              (uint64_t)(a[4]*2) * a[8] +
              (uint64_t)(a[5]*2) * a[7] +
              (uint64_t)a[6] * a[6];
      uint32_t t12 = c & 0x3FFFFFFUL; c = c >> 26;
      c = c + (uint64_t)(a[4]*2) * a[9] +
              (uint64_t)(a[5]*2) * a[8] +
              (uint64_t)(a[6]*2) * a[7];
      uint32_t t13 = c & 0x3FFFFFFUL; c = c >> 26;
      c = c + (uint64_t)(a[5]*2) * a[9] +
              (uint64_t)(a[6]*2) * a[8] +
              (uint64_t)a[7] * a[7];
      uint32_t t14 = c & 0x3FFFFFFUL; c = c >> 26;
      c = c + (uint64_t)(a[6]*2) * a[9] +
              (uint64_t)(a[7]*2) * a[8];
      uint32_t t15 = c & 0x3FFFFFFUL; c = c >> 26;
      c = c + (uint64_t)(a[7]*2) * a[9] +
              (uint64_t)a[8] * a[8];
      uint32_t t16 = c & 0x3FFFFFFUL; c = c >> 26;
      c = c + (uint64_t)(a[8]*2) * a[9];
      uint32_t t17 = c & 0x3FFFFFFUL; c = c >> 26;
      c = c + (uint64_t)a[9] * a[9];
      uint32_t t18 = c & 0x3FFFFFFUL; c = c >> 26;
      uint32_t t19 = c;
  
      c = t0 + (uint64_t)t10 * 0x3D10UL;
      t0 = c & 0x3FFFFFFUL; c = c >> 26;
      c = c + t1 + (uint64_t)t10*0x400UL + (uint64_t)t11 * 0x3D10UL;
      t1 = c & 0x3FFFFFFUL; c = c >> 26;
      c = c + t2 + (uint64_t)t11*0x400UL + (uint64_t)t12 * 0x3D10UL;
      t2 = c & 0x3FFFFFFUL; c = c >> 26;
      c = c + t3 + (uint64_t)t12*0x400UL + (uint64_t)t13 * 0x3D10UL;
      r[3] = c & 0x3FFFFFFUL; c = c >> 26;
      c = c + t4 + (uint64_t)t13*0x400UL + (uint64_t)t14 * 0x3D10UL;
      r[4] = c & 0x3FFFFFFUL; c = c >> 26;
      c = c + t5 + (uint64_t)t14*0x400UL + (uint64_t)t15 * 0x3D10UL;
      r[5] = c & 0x3FFFFFFUL; c = c >> 26;
      c = c + t6 + (uint64_t)t15*0x400UL + (uint64_t)t16 * 0x3D10UL;
      r[6] = c & 0x3FFFFFFUL; c = c >> 26;
      c = c + t7 + (uint64_t)t16*0x400UL + (uint64_t)t17 * 0x3D10UL;
      r[7] = c & 0x3FFFFFFUL; c = c >> 26;
      c = c + t8 + (uint64_t)t17*0x400UL + (uint64_t)t18 * 0x3D10UL;
      r[8] = c & 0x3FFFFFFUL; c = c >> 26;
      c = c + t9 + (uint64_t)t18*0x400UL + (uint64_t)t19 * 0x1000003D10ULL;
      r[9] = c & 0x03FFFFFUL; c = c >> 22;
      uint64_t d = t0 + c * 0x3D1UL;
      r[0] = d & 0x3FFFFFFUL; d = d >> 26;
      d = d + t1 + c*0x40;
      r[1] = d & 0x3FFFFFFUL; d = d >> 26;
      r[2] = t2 + d;
  }
  
  
  void static secp256k1_fe_mul(secp256k1_fe_t *r, const secp256k1_fe_t *a, const secp256k1_fe_t *b) {
  #ifdef VERIFY
      assert(a->magnitude <= 8);
      assert(b->magnitude <= 8);
      r->magnitude = 1;
      r->normalized = 0;
  #endif
      secp256k1_fe_mul_inner(a->n, b->n, r->n);
  }
  
  void static secp256k1_fe_sqr(secp256k1_fe_t *r, const secp256k1_fe_t *a) {
  #ifdef VERIFY
      assert(a->magnitude <= 8);
      r->magnitude = 1;
      r->normalized = 0;
  #endif
      secp256k1_fe_sqr_inner(a->n, r->n);
  }
  
  #endif
  