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#include <string.h>
#include "crypto_sign.h"
#include "crypto_hash_sha512.h"
#include "crypto_verify_32.h"
#include "ge.h"
#include "sc.h"

int crypto_sign_open(
  unsigned char *sm, unsigned long long smlen,
  const unsigned char *pk
)
{
  unsigned char scopy[32];
  unsigned char h[64];
  unsigned char rcheck[32];
  ge_p3 A;
  ge_p2 R;

  if (smlen < 64) goto badsig;
  if (sm[63] & 224) goto badsig;
  if (ge_frombytes_negate_vartime(&A,pk) != 0) goto badsig;

  memmove(scopy,sm + 32,32);

  memmove(sm + 32,pk,32);
  crypto_hash_sha512(h,sm,smlen);
  sc_reduce(h);

  ge_double_scalarmult_vartime(&R,h,&A,scopy);
  ge_tobytes(rcheck,&R);
  if (crypto_verify_32(rcheck,sm) == 0)
    return 0;

badsig:
  return -1;
}