示例#1
0
/*
 * Tests: one buffer
 * - n = bitsize
 */
static void test1(uint32_t n) {
  bvarith_buffer_t buffer;
  uint32_t q0[4];

  assert(0 < n && n <= 128);

  init_bvarith_buffer(&buffer, &prod_table, &store);
  bvarith_buffer_prepare(&buffer, n);
  printf("Empty buffer\n");
  test_buffer(&buffer);

  printf("x_0 + x_1\n");
  bvarith_buffer_add_var(&buffer, 0);
  bvarith_buffer_add_var(&buffer, 1);
  bvarith_buffer_normalize(&buffer);
  test_buffer(&buffer);

  printf("After reset\n");
  bvarith_buffer_prepare(&buffer, n);
  test_buffer(&buffer);

  printf("x_2 - x_0\n");
  bvarith_buffer_add_var(&buffer, 2);
  bvarith_buffer_sub_var(&buffer, 0);
  bvarith_buffer_normalize(&buffer);
  test_buffer(&buffer);

  printf("x_2 - x_0 + x_1 + x_0\n");
  bvarith_buffer_prepare(&buffer, n);
  bvarith_buffer_add_var(&buffer, 2);
  bvarith_buffer_sub_var(&buffer, 0);
  bvarith_buffer_add_var(&buffer, 1);
  bvarith_buffer_add_var(&buffer, 0);
  bvarith_buffer_normalize(&buffer);
  test_buffer(&buffer);

  printf("Adding 3\n");
  bvconst_set32(q0, 4, 3);
  bvarith_buffer_add_const(&buffer, q0);
  bvarith_buffer_normalize(&buffer);
  test_buffer(&buffer);

  printf("Negating\n");
  bvarith_buffer_negate(&buffer);
  bvarith_buffer_normalize(&buffer);
  test_buffer(&buffer);

  printf("Negating again\n");
  bvarith_buffer_negate(&buffer);
  bvarith_buffer_normalize(&buffer);
  test_buffer(&buffer);

  printf("Multiplying by 2 x_4\n");
  bvconst_set32(q0, 4, 2);
  bvarith_buffer_mul_varmono(&buffer, q0, 4);
  bvarith_buffer_normalize(&buffer);
  test_buffer(&buffer);

  printf("Multiplying by x_1^2\n");
  bvarith_buffer_mul_var(&buffer, 1);
  bvarith_buffer_mul_var(&buffer, 1);
  bvarith_buffer_normalize(&buffer);
  test_buffer(&buffer);

  printf("Multiplying by 0\n");
  bvconst_clear(q0, 4);
  bvarith_buffer_mul_const(&buffer, q0);
  bvarith_buffer_normalize(&buffer);
  test_buffer(&buffer);

  printf("x_1 + 1 - x_2\n");
  bvarith_buffer_prepare(&buffer, n);
  bvarith_buffer_add_var(&buffer, 1);
  bvconst_set32(q0, 4, 1);
  bvarith_buffer_add_const(&buffer, q0);
  bvarith_buffer_sub_var(&buffer, 2);
  bvarith_buffer_normalize(&buffer);
  test_buffer(&buffer);

  printf("Squaring\n");
  bvarith_buffer_square(&buffer);
  bvarith_buffer_normalize(&buffer);
  test_buffer(&buffer);

  printf("Squaring\n");
  bvarith_buffer_square(&buffer);
  bvarith_buffer_normalize(&buffer);
  test_buffer(&buffer);

  printf("Squaring\n");
  bvarith_buffer_square(&buffer);
  bvarith_buffer_normalize(&buffer);
  test_buffer(&buffer);

  delete_bvarith_buffer(&buffer);
}
static void test_signed_conversions(void) {
    uint32_t a[4];

    bvconst_clear(a, 2);
    test_signed_conversion(a, 1);
    test_signed_conversion(a, 2);
    test_signed_conversion(a, 30);
    test_signed_conversion(a, 31);
    test_signed_conversion(a, 32);
    test_signed_conversion(a, 33);
    test_signed_conversion(a, 64);

    bvconst_set_one(a, 2);
    test_signed_conversion(a, 1);
    test_signed_conversion(a, 2);
    test_signed_conversion(a, 30);
    test_signed_conversion(a, 31);
    test_signed_conversion(a, 32);
    test_signed_conversion(a, 33);
    test_signed_conversion(a, 64);

    bvconst_set_minus_one(a, 2);
    bvconst_normalize(a, 2);
    test_signed_conversion(a, 2);
    bvconst_set_minus_one(a, 2);
    bvconst_normalize(a, 30);
    test_signed_conversion(a, 30);
    bvconst_set_minus_one(a, 2);
    bvconst_normalize(a, 31);
    test_signed_conversion(a, 31);
    bvconst_set_minus_one(a, 2);
    bvconst_normalize(a, 32);
    test_signed_conversion(a, 32);
    bvconst_set_minus_one(a, 2);
    bvconst_normalize(a, 33);
    test_signed_conversion(a, 33);
    bvconst_set_minus_one(a, 2);
    bvconst_normalize(a, 64);
    test_signed_conversion(a, 64);

    bvconst_clear(a, 2);
    bvconst_set_bit(a, 1);
    bvconst_normalize(a, 2);
    test_signed_conversion(a, 2);

    bvconst_clear(a, 2);
    bvconst_set_bit(a, 29);
    bvconst_normalize(a, 30);
    test_signed_conversion(a, 30);

    bvconst_clear(a, 2);
    bvconst_set_bit(a, 30);
    bvconst_normalize(a, 31);
    test_signed_conversion(a, 31);

    bvconst_clear(a, 2);
    bvconst_set_bit(a, 31);
    bvconst_normalize(a, 32);
    test_signed_conversion(a, 32);

    bvconst_clear(a, 2);
    bvconst_set_bit(a, 32);
    bvconst_normalize(a, 33);
    test_signed_conversion(a, 33);

    bvconst_clear(a, 2);
    bvconst_set_bit(a, 63);
    bvconst_normalize(a, 64);
    test_signed_conversion(a, 64);
}
示例#3
0
int main() {
  int32_t i, j, n;

  alloc_constants();

  printf("a = ");
  bvconst_print(stdout, a, 128);
  printf("\n");
  printf("iszero(a) = %d\n", bvconst_is_zero(a, 4));

  bvconst_add_one(a, 4);
  printf("a+1 = ");
  bvconst_print(stdout, a, 128);
  printf("\n");
  printf("iszero(a+1) = %d\n", bvconst_is_zero(a, 4));

  bvconst_sub_one(a, 4);
  printf("a+1-1 = ");
  bvconst_print(stdout, a, 128);
  printf("\n");
  printf("iszero(a+1-1) = %d\n", bvconst_is_zero(a, 4));

  bvconst_sub_one(a, 4);
  printf("a+1-2 = ");
  bvconst_print(stdout, a, 128);
  printf("\n");
  printf("iszero(a+1-2) = %d\n", bvconst_is_zero(a, 4));


  printf("b = ");
  bvconst_print(stdout, b, 128);
  printf("\n");
  printf("iszero(b) = %d\n", bvconst_is_zero(b, 4));

  bvconst_add_one(b, 4);
  printf("b+1 = ");
  bvconst_print(stdout, b, 128);
  printf("\n");
  printf("iszero(b+1) = %d\n", bvconst_is_zero(b, 4));

  bvconst_sub_one(b, 4);
  bvconst_sub_one(b, 4);
  printf("b-1 = ");
  bvconst_print(stdout, b, 128);
  printf("\n");
  printf("iszero(b-1) = %d\n", bvconst_is_zero(b, 4));


  printf("c = ");
  bvconst_print(stdout, c, 128);
  printf("\n");
  printf("iszero(c) = %d\n", bvconst_is_zero(c, 4));

  printf("d = ");
  bvconst_print(stdout, d, 128);
  printf("\n");
  printf("iszero(d) = %d\n", bvconst_is_zero(d, 4));

  printf("e = ");
  bvconst_print(stdout, e, 128);
  printf("\n");
  printf("iszero(e) = %d\n", bvconst_is_zero(e, 4));

  printf("e := a * b\n");
  bvconst_mul2(e, 4, a, b);
  printf("e = ");
  bvconst_print(stdout, e, 128);
  printf("\n\n");

  random_vector(vector, 32);
  bvconst_set_array(a, vector, 32);
  printf("a            = ");
  bvconst_print(stdout, a, 32);
  printf("\n");
  random_vector(vector, 73);
  bvconst_set_array(b, vector, 73);
  printf("b            = ");
  bvconst_print(stdout, b, 73);
  printf("\n");
  bvconst_concat(c, a, 32, b, 73);
  printf("conc(a, b)   = ");
  bvconst_print(stdout, c, 105);
  printf("\n");
  bvconst_concat(d, b, 73, a, 32);
  printf("conc(b, a)   = ");
  bvconst_print(stdout, d, 105);
  printf("\n\n");

  //  random_vector(vector, 63);
  bvconst_set_minus_one(a, 4);
  //  random_vector(vector, 63);
  bvconst_clear(b, 4);
  for (n=2; n<=128; n++) {
    for (i=1; i<n; i++) {
      printf("--- n = %"PRId32", i = %"PRId32" ---\n", n, i);
      printf("a          = ");
      bvconst_print(stdout, a, i);
      printf("\n");
      printf("b          = ");
      bvconst_print(stdout, b, n - i);
      printf("\n");
      bvconst_concat(c, a, i, b, n - i);
      bvconst_concat(d, b, n - i, a, i);
      printf("conc(a, b) = ");
      bvconst_print(stdout, c, n);
      printf("\n");
      printf("conc(b, a) = ");
      bvconst_print(stdout, d, n);
      printf("\n\n");
    }
  }


  //  exit(0);

  for (n=20; n>0; n--) {
    random_vector(vector, 20);
    bvconst_set_array(a, vector, 20);
    printf("a             = ");
    bvconst_print(stdout, a, 20);
    printf("\n");

    for (i=0; i<=20-n; i++) {
      bvconst_extract(b, a, i, i+n);
      printf("a[%2"PRId32", %2"PRId32")     = ", i, i+n);
      bvconst_print(stdout, b, n);
      printf("\n");
    }
    printf("\n");
  }


  for (n=50; n>20; n--) {
    random_vector(vector, 62);
    bvconst_set_array(a, vector, 62);
    printf("a             = ");
    bvconst_print(stdout, a, 62);
    printf("\n");

    for (i=0; i<=62-n; i++) {
      bvconst_extract(b, a, i, i+n);
      printf("a[%2"PRId32", %2"PRId32")     = ", i, i+n);
      bvconst_print(stdout, b, n);
      printf("\n");
    }
    printf("\n");
  }

  random_vector(vector, 20);
  bvconst_set_array(a, vector, 20);
  printf("a             = ");
  bvconst_print(stdout, a, 20);
  printf("\n");
  bvconst_set_extend(b, 31, a, 20, 0);
  printf("ext(a, 31, 0) = ");
  bvconst_print(stdout, b, 31);
  printf("\n");
  bvconst_set_extend(b, 31, a, 20, 1);
  printf("ext(a, 31, 1) = ");
  bvconst_print(stdout, b, 31);
  printf("\n");
  bvconst_set_extend(b, 31, a, 20, -1);
  printf("sgnext(a, 31) = ");
  bvconst_print(stdout, b, 31);
  printf("\n\n");


  random_vector(vector, 20);
  bvconst_set_array(a, vector, 20);
  printf("a             = ");
  bvconst_print(stdout, a, 20);
  printf("\n");
  bvconst_set_extend(b, 31, a, 20, 0);
  printf("ext(a, 31, 0) = ");
  bvconst_print(stdout, b, 31);
  printf("\n");
  bvconst_set_extend(b, 31, a, 20, 1);
  printf("ext(a, 31, 1) = ");
  bvconst_print(stdout, b, 31);
  printf("\n");
  bvconst_set_extend(b, 31, a, 20, -1);
  printf("sgnext(a, 31) = ");
  bvconst_print(stdout, b, 31);
  printf("\n\n");


  random_vector(vector, 20);
  bvconst_set_array(a, vector, 20);
  printf("a             = ");
  bvconst_print(stdout, a, 20);
  printf("\n");
  bvconst_set_extend(b, 31, a, 20, 0);
  printf("ext(a, 31, 0) = ");
  bvconst_print(stdout, b, 31);
  printf("\n");
  bvconst_set_extend(b, 31, a, 20, 1);
  printf("ext(a, 31, 1) = ");
  bvconst_print(stdout, b, 31);
  printf("\n");
  bvconst_set_extend(b, 31, a, 20, -1);
  printf("sgnext(a, 31) = ");
  bvconst_print(stdout, b, 31);
  printf("\n\n");


  random_vector(vector, 20);
  bvconst_set_array(a, vector, 20);
  printf("a             = ");
  bvconst_print(stdout, a, 20);
  printf("\n");
  bvconst_set_extend(b, 31, a, 20, 0);
  printf("ext(a, 31, 0) = ");
  bvconst_print(stdout, b, 31);
  printf("\n");
  bvconst_set_extend(b, 31, a, 20, 1);
  printf("ext(a, 31, 1) = ");
  bvconst_print(stdout, b, 31);
  printf("\n");
  bvconst_set_extend(b, 31, a, 20, -1);
  printf("sgnext(a, 31) = ");
  bvconst_print(stdout, b, 31);
  printf("\n\n");


  for (i=20; i<=99; i++) {
    random_vector(vector, 20);
    bvconst_set_array(a, vector, 20);
    printf("a             = ");
    bvconst_print(stdout, a, 20);
    printf("\n");
    bvconst_set_extend(b, i, a, 20, 0);
    printf("ext(a, %2"PRId32", 0) = ", i);
    bvconst_print(stdout, b, i);
    printf("\n");
    bvconst_set_extend(b, i, a, 20, 1);
    printf("ext(a, %2"PRId32", 1) = ", i);
    bvconst_print(stdout, b, i);
    printf("\n");
    bvconst_set_extend(b, i, a, 20, -1);
    printf("sgnext(a, %2"PRId32") = ", i);
    bvconst_print(stdout, b, i);
    printf("\n\n");
  }


  for (i=32; i<=99; i++) {
    random_vector(vector, 32);
    bvconst_set_array(a, vector, 32);
    printf("a             = ");
    bvconst_print(stdout, a, 32);
    printf("\n");
    bvconst_set_extend(b, i, a, 32, 0);
    printf("ext(a, %2"PRId32", 0) = ", i);
    bvconst_print(stdout, b, i);
    printf("\n");
    bvconst_set_extend(b, i, a, 32, 1);
    printf("ext(a, %2"PRId32", 1) = ", i);
    bvconst_print(stdout, b, i);
    printf("\n");
    bvconst_set_extend(b, i, a, 32, -1);
    printf("sgnext(a, %2"PRId32") = ", i);
    bvconst_print(stdout, b, i);
    printf("\n\n");
  }


  random_vector(vector, 120);
  bvconst_set_array(a, vector, 120);
  printf("a         = ");
  bvconst_print(stdout, a, 120);
  printf("\n");
  for (i=0; i<=120; i++) {
    printf("rshift %3"PRId32": ", i);
    bvconst_shift_right(a, 120, i, 0);
    bvconst_print(stdout, a, 120);
    printf("\n");
    bvconst_set_array(a, vector, 120);
  }
  printf("\n");

  random_vector(vector, 120);
  bvconst_set_array(a, vector, 120);
  printf("a         = ");
  bvconst_print(stdout, a, 120);
  printf("\n");
  for (i=0; i<=120; i++) {
    printf("rshift %3"PRId32": ", i);
    bvconst_shift_right(a, 120, i, 1);
    bvconst_print(stdout, a, 120);
    printf("\n");
    bvconst_set_array(a, vector, 120);
  }
  printf("\n");


  random_vector(vector, 120);
  bvconst_set_array(a, vector, 120);
  printf("a         = ");
  bvconst_print(stdout, a, 120);
  printf("\n");
  for (i=0; i<=120; i++) {
    printf("lshift %3"PRId32": ", i);
    bvconst_shift_left(a, 120, i, 0);
    bvconst_print(stdout, a, 120);
    printf("\n");
    bvconst_set_array(a, vector, 120);
  }
  printf("\n");

  random_vector(vector, 120);
  bvconst_set_array(a, vector, 120);
  printf("a         = ");
  bvconst_print(stdout, a, 120);
  printf("\n");
  for (i=0; i<=120; i++) {
    printf("lshift %3"PRId32": ", i);
    bvconst_shift_left(a, 120, i, 1);
    bvconst_print(stdout, a, 120);
    printf("\n");
    bvconst_set_array(a, vector, 120);
  }
  printf("\n");
  //  exit(0);


  printf("c = ");
  bvconst_print(stdout, c, 128);
  printf("\n");
  printf("d = ");
  bvconst_print(stdout, d, 128);
  printf("\n");
  printf("e := c * d\n");
  bvconst_mul2(e, 4, c, d);
  printf("e = ");
  bvconst_print(stdout, e, 128);
  printf("\n");
  printf("e := d * c\n");
  bvconst_mul2(e, 4, d, c);
  printf("e = ");
  bvconst_print(stdout, e, 128);
  printf("\n\n");

  printf("b = ");
  bvconst_print(stdout, b, 128);
  printf("\n");
  printf("d = ");
  bvconst_print(stdout, d, 128);
  printf("\n");
  printf("e := b * d\n");
  bvconst_mul2(e, 4, b, d);
  printf("e = ");
  bvconst_print(stdout, e, 128);
  printf("\n\n");



  bvconst_set64(a, 4, 1372919719782793ULL);
  bvconst_set32(b, 4, 12670371);
  printf("a = ");
  bvconst_print(stdout, a, 128);
  printf("\n");
  printf("b = ");
  bvconst_print(stdout, b, 128);
  printf("\n");
  printf("e := a * b\n");
  bvconst_set(c, 4, a);
  printf("c = ");
  bvconst_print(stdout, c, 128);
  printf("\n");
  bvconst_mul(c, 4, b);
  printf("c = ");
  bvconst_print(stdout, c, 128);
  printf("\n");
  bvconst_mul2(e, 4, a, b);
  printf("e = ");
  bvconst_print(stdout, e, 128);
  printf("\n\n");

  mpz_init(z0);
  mpz_init(z1);
  mpz_init(z2);

  bvconst_get_mpz(a, 4, z0);
  printf("--> conversion a to mpz: ");
  mpz_out_str(stdout, 10, z0);
  printf("\n");
  bvconst_get_mpz(b, 4, z0);
  printf("--> conversion b to mpz: ");
  mpz_out_str(stdout, 10, z0);
  printf("\n");
  bvconst_get_mpz(e, 4, z0);
  printf("--> conversion e to mpz: ");
  mpz_out_str(stdout, 10, z0);
  printf("\n\n");

  printf("e -= a * b\n");
  bvconst_submul(e, 4, a, b);
  printf("e = ");
  bvconst_print(stdout, e, 128);
  printf("\n");
  bvconst_get_mpz(e, 4, z0);
  printf("--> conversion e to mpz: ");
  mpz_out_str(stdout, 10, z0);
  printf("\n\n");

  for (i=0; i<10; i++) {
    printf("test %"PRId32": e *= a\n", i);
    random_vector(vector, 128);
    bvconst_set_array(a, vector, 128);
    random_vector(vector, 128);
    bvconst_set_array(e, vector, 128);
    bvconst_get_mpz(e, 4, z1);

    printf("a  = ");
    bvconst_print(stdout, a, 128);
    printf("\n");
    printf("e  = ");
    bvconst_print(stdout, e, 128);
    printf("\n");
    bvconst_mul(e, 4, a);
    printf("e' = ");
    bvconst_print(stdout, e, 128);
    printf("\n");

    bvconst_get_mpz(a, 4, z0);
    printf("--> conversion a  to mpz: ");
    mpz_out_str(stdout, 10, z0);
    printf("\n");
    printf("--> conversion e  to mpz: ");
    mpz_out_str(stdout, 10, z1);
    printf("\n");
    bvconst_get_mpz(e, 4, z2);
    printf("--> conversion e' to mpz: ");
    mpz_out_str(stdout, 10, z2);
    printf("\n");

    mpz_mul(z0, z0, z1);
    mpz_fdiv_r_2exp(z0, z0, 128);
    printf("--> check:                ");
    mpz_out_str(stdout, 10, z0);
    printf("\n\n");
    assert(mpz_cmp(z0, z2) == 0);
  }

  for (i=0; i<10; i++) {
    printf("test %"PRId32", a := - a\n", i);
    random_vector(vector, 128);
    bvconst_set_array(a, vector, 128);
    bvconst_get_mpz(a, 4, z0);

    printf("a = ");
    bvconst_print(stdout, a, 128);
    printf("\n");
    bvconst_negate(a, 4);
    printf("a = ");
    bvconst_print(stdout, a, 128);
    printf("\n");

    printf("--> conversion  a to mpz: ");
    mpz_out_str(stdout, 10, z0);
    printf("\n");
    bvconst_get_mpz(a, 4, z1);
    printf("--> conversion -a to mpz: ");
    mpz_out_str(stdout, 10, z1);
    printf("\n");

    mpz_neg(z0, z0);
    mpz_fdiv_r_2exp(z0, z0, 128);
    printf("--> check:                ");
    mpz_out_str(stdout, 10, z0);
    printf("\n\n");
    assert(mpz_cmp(z0, z1) == 0);
  }

  for (i=0; i<10; i++) {
    printf("test %"PRId32": e := - a\n", i);
    random_vector(vector, 128);
    bvconst_set_array(a, vector, 128);
    printf("a = ");
    bvconst_print(stdout, a, 128);
    printf("\n");
    bvconst_negate2(e, 4, a);
    printf("e = ");
    bvconst_print(stdout, e, 128);
    printf("\n");

    printf("--> conversion a to mpz: ");
    bvconst_get_mpz(a, 4, z0);
    mpz_out_str(stdout, 10, z0);
    printf("\n");
    bvconst_get_mpz(e, 4, z1);
    printf("--> conversion e to mpz: ");
    mpz_out_str(stdout, 10, z1);
    printf("\n");

    mpz_neg(z0, z0);
    mpz_fdiv_r_2exp(z0, z0, 128);
    printf("--> check:               ");
    mpz_out_str(stdout, 10, z0);
    printf("\n\n");
    assert(mpz_cmp(z0, z1) == 0);
  }

  for (i=0; i<10; i++) {
    printf("test %"PRId32", e = a * b\n", i);
    random_vector(vector, 128);
    bvconst_set_array(a, vector, 128);
    random_vector(vector, 128);
    bvconst_set_array(b, vector, 128);

    printf("a = ");
    bvconst_print(stdout, a, 128);
    printf("\n");
    printf("b = ");
    bvconst_print(stdout, b, 128);
    printf("\n");
    bvconst_mul2(e, 4, a, b);
    printf("e = ");
    bvconst_print(stdout, e, 128);
    printf("\n");

    bvconst_get_mpz(a, 4, z0);
    printf("--> conversion a to mpz: ");
    mpz_out_str(stdout, 10, z0);
    printf("\n");
    bvconst_get_mpz(b, 4, z1);
    printf("--> conversion b to mpz: ");
    mpz_out_str(stdout, 10, z1);
    printf("\n");
    bvconst_get_mpz(e, 4, z2);
    printf("--> conversion e to mpz: ");
    mpz_out_str(stdout, 10, z2);
    printf("\n");

    mpz_mul(z0, z0, z1);
    mpz_fdiv_r_2exp(z0, z0, 128);
    printf("--> check:               ");
    mpz_out_str(stdout, 10, z0);
    printf("\n\n");
    assert(mpz_cmp(z0, z2) == 0);
  }

  for (i=0; i<10; i++) {
    printf("test %"PRId32": e = - (a * b)\n", i);
    random_vector(vector, 128);
    bvconst_set_array(a, vector, 128);
    random_vector(vector, 128);
    bvconst_set_array(b, vector, 128);

    printf("a = ");
    bvconst_print(stdout, a, 128);
    printf("\n");
    printf("b = ");
    bvconst_print(stdout, b, 128);
    printf("\n");
    bvconst_clear(e, 4);
    bvconst_submul(e, 4, a, b);
    printf("e = ");
    bvconst_print(stdout, e, 128);
    printf("\n");

    bvconst_get_mpz(a, 4, z0);
    printf("--> conversion a to mpz: ");
    mpz_out_str(stdout, 10, z0);
    printf("\n");
    bvconst_get_mpz(b, 4, z1);
    printf("--> conversion b to mpz: ");
    mpz_out_str(stdout, 10, z1);
    printf("\n");
    bvconst_get_mpz(d, 4, z2);
    printf("--> conversion d to mpz: ");
    mpz_out_str(stdout, 10, z2);
    printf("\n");
    bvconst_get_mpz(e, 4, z2);
    printf("--> conversion e to mpz: ");
    mpz_out_str(stdout, 10, z2);
    printf("\n");

    mpz_mul(z0, z0, z1);
    mpz_neg(z0, z0);
    mpz_fdiv_r_2exp(z0, z0, 128);
    printf("--> check:               ");
    mpz_out_str(stdout, 10, z0);
    printf("\n\n");
    assert(mpz_cmp(z0, z2) == 0);
  }

  for (i=0; i<10; i++) {
    printf("test %"PRId32": e = a + b\n", i);
    random_vector(vector, 128);
    bvconst_set_array(a, vector, 128);
    random_vector(vector, 128);
    bvconst_set_array(b, vector, 128);

    printf("a = ");
    bvconst_print(stdout, a, 128);
    printf("\n");
    printf("b = ");
    bvconst_print(stdout, b, 128);
    printf("\n");
    bvconst_add2(e, 4, a, b);
    printf("e = ");
    bvconst_print(stdout, e, 128);
    printf("\n");

    bvconst_get_mpz(a, 4, z0);
    printf("--> conversion a to mpz: ");
    mpz_out_str(stdout, 10, z0);
    printf("\n");
    bvconst_get_mpz(b, 4, z1);
    printf("--> conversion b to mpz: ");
    mpz_out_str(stdout, 10, z1);
    printf("\n");
    bvconst_get_mpz(e, 4, z2);
    printf("--> conversion e to mpz: ");
    mpz_out_str(stdout, 10, z2);
    printf("\n");

    mpz_add(z0, z0, z1);
    mpz_fdiv_r_2exp(z0, z0, 128);
    printf("--> check:               ");
    mpz_out_str(stdout, 10, z0);
    printf("\n\n");
    assert(mpz_cmp(z0, z2) == 0);
  }

  for (i=0; i<10; i++) {
    printf("test %"PRId32": e = a - b\n", i);
    random_vector(vector, 128);
    bvconst_set_array(a, vector, 128);
    random_vector(vector, 128);
    bvconst_set_array(b, vector, 128);

    printf("a = ");
    bvconst_print(stdout, a, 128);
    printf("\n");
    printf("b = ");
    bvconst_print(stdout, b, 128);
    printf("\n");
    bvconst_sub2(e, 4, a, b);
    printf("e = ");
    bvconst_print(stdout, e, 128);
    printf("\n");

    bvconst_get_mpz(a, 4, z0);
    printf("--> conversion a to mpz: ");
    mpz_out_str(stdout, 10, z0);
    printf("\n");
    bvconst_get_mpz(b, 4, z1);
    printf("--> conversion b to mpz: ");
    mpz_out_str(stdout, 10, z1);
    printf("\n");
    bvconst_get_mpz(e, 4, z2);
    printf("--> conversion e to mpz: ");
    mpz_out_str(stdout, 10, z2);
    printf("\n");

    mpz_sub(z0, z0, z1);
    mpz_fdiv_r_2exp(z0, z0, 128);
    printf("--> check:               ");
    mpz_out_str(stdout, 10, z0);
    printf("\n\n");
    assert(mpz_cmp(z0, z2) == 0);
  }

  for (i=0; i<10; i++) {
    printf("\ntest %"PRId32": comparisons\n", i);
    random_vector(vector, 25);
    bvconst_set_array(a, vector, 25);
    random_vector(vector, 25);
    bvconst_set_array(b, vector, 25);

    printf("a = ");
    bvconst_print(stdout, a, 25);
    printf("\n");
    printf("b = ");
    bvconst_print(stdout, b, 25);
    printf("\n");

    bvconst_normalize(a, 25);
    bvconst_normalize(b, 25);
    printf("Unsigned tests\n");
    printf(" a le b: %d\n", bvconst_le(a, b, 25));
    printf(" a ge b: %d\n", bvconst_ge(a, b, 25));
    printf(" a lt b: %d\n", bvconst_lt(a, b, 25));
    printf(" a gt b: %d\n", bvconst_gt(a, b, 25));

    printf("Signed tests\n");
    printf(" a sle b: %d\n", bvconst_sle(a, b, 25));
    printf(" a sge b: %d\n", bvconst_sge(a, b, 25));
    printf(" a slt b: %d\n", bvconst_slt(a, b, 25));
    printf(" a sgt b: %d\n", bvconst_sgt(a, b, 25));
  }


  for (i=0; i<10; i++) {
    printf("\ntest %"PRId32": comparisons\n", i);
    random_vector(vector, 32);
    bvconst_set_array(a, vector, 32);
    random_vector(vector, 32);
    bvconst_set_array(b, vector, 32);

    printf("a = ");
    bvconst_print(stdout, a, 32);
    printf("\n");
    printf("b = ");
    bvconst_print(stdout, b, 32);
    printf("\n");

    bvconst_normalize(a, 32);
    bvconst_normalize(b, 32);
    printf("Unsigned tests\n");
    printf(" a le b: %d\n", bvconst_le(a, b, 32));
    printf(" a ge b: %d\n", bvconst_ge(a, b, 32));
    printf(" a lt b: %d\n", bvconst_lt(a, b, 32));
    printf(" a gt b: %d\n", bvconst_gt(a, b, 32));

    printf("Signed tests\n");
    printf(" a sle b: %d\n", bvconst_sle(a, b, 32));
    printf(" a sge b: %d\n", bvconst_sge(a, b, 32));
    printf(" a slt b: %d\n", bvconst_slt(a, b, 32));
    printf(" a sgt b: %d\n", bvconst_sgt(a, b, 32));
  }

  for (i=0; i<10; i++) {
    printf("\ntest %"PRId32": comparisons\n", i);
    random_vector(vector, 33);
    bvconst_set_array(a, vector, 33);
    random_vector(vector, 33);
    bvconst_set_array(b, vector, 33);

    printf("a = ");
    bvconst_print(stdout, a, 33);
    printf("\n");
    printf("b = ");
    bvconst_print(stdout, b, 33);
    printf("\n");

    bvconst_normalize(a, 33);
    bvconst_normalize(b, 33);
    printf("Unsigned tests\n");
    printf(" a le b: %d\n", bvconst_le(a, b, 33));
    printf(" a ge b: %d\n", bvconst_ge(a, b, 33));
    printf(" a lt b: %d\n", bvconst_lt(a, b, 33));
    printf(" a gt b: %d\n", bvconst_gt(a, b, 33));

    printf("Signed tests\n");
    printf(" a sle b: %d\n", bvconst_sle(a, b, 33));
    printf(" a sge b: %d\n", bvconst_sge(a, b, 33));
    printf(" a slt b: %d\n", bvconst_slt(a, b, 33));
    printf(" a sgt b: %d\n", bvconst_sgt(a, b, 33));
  }

  for (i=0; i<10; i++) {
    printf("\ntest %"PRId32": comparisons\n", i);
    random_vector(vector, 63);
    bvconst_set_array(a, vector, 63);
    random_vector(vector, 63);
    bvconst_set_array(b, vector, 63);

    printf("a = ");
    bvconst_print(stdout, a, 63);
    printf("\n");
    printf("b = ");
    bvconst_print(stdout, b, 63);
    printf("\n");

    bvconst_normalize(a, 63);
    bvconst_normalize(b, 63);
    printf("Unsigned tests\n");
    printf(" a le b: %d\n", bvconst_le(a, b, 63));
    printf(" a ge b: %d\n", bvconst_ge(a, b, 63));
    printf(" a lt b: %d\n", bvconst_lt(a, b, 63));
    printf(" a gt b: %d\n", bvconst_gt(a, b, 63));

    printf("Signed tests\n");
    printf(" a sle b: %d\n", bvconst_sle(a, b, 63));
    printf(" a sge b: %d\n", bvconst_sge(a, b, 63));
    printf(" a slt b: %d\n", bvconst_slt(a, b, 63));
    printf(" a sgt b: %d\n", bvconst_sgt(a, b, 63));
  }

  for (i=0; i<10; i++) {
    printf("\ntest %"PRId32": comparisons\n", i);
    random_vector(vector, 64);
    bvconst_set_array(a, vector, 64);
    random_vector(vector, 64);
    bvconst_set_array(b, vector, 64);

    printf("a = ");
    bvconst_print(stdout, a, 64);
    printf("\n");
    printf("b = ");
    bvconst_print(stdout, b, 64);
    printf("\n");

    bvconst_normalize(a, 64);
    bvconst_normalize(b, 64);
    printf("Unsigned tests\n");
    printf(" a le b: %d\n", bvconst_le(a, b, 64));
    printf(" a ge b: %d\n", bvconst_ge(a, b, 64));
    printf(" a lt b: %d\n", bvconst_lt(a, b, 64));
    printf(" a gt b: %d\n", bvconst_gt(a, b, 64));

    printf("Signed tests\n");
    printf(" a sle b: %d\n", bvconst_sle(a, b, 64));
    printf(" a sge b: %d\n", bvconst_sge(a, b, 64));
    printf(" a slt b: %d\n", bvconst_slt(a, b, 64));
    printf(" a sgt b: %d\n", bvconst_sgt(a, b, 64));
  }

  printf("\nMore comparisons\n");
  random_vector(vector, 64);
  bvconst_set_array(a, vector, 64);
  bvconst_set_array(b, vector, 64);
  printf("a = ");
  bvconst_print(stdout, a, 64);
  printf("\n");
  printf("b = ");
  bvconst_print(stdout, b, 64);
  printf("\n");

  bvconst_normalize(a, 64);
  bvconst_normalize(b, 64);
  printf("Unsigned tests\n");
  printf(" a le b: %d\n", bvconst_le(a, b, 64));
  printf(" a ge b: %d\n", bvconst_ge(a, b, 64));
  printf(" a lt b: %d\n", bvconst_lt(a, b, 64));
  printf(" a gt b: %d\n", bvconst_gt(a, b, 64));

  printf("Signed tests\n");
  printf(" a sle b: %d\n", bvconst_sle(a, b, 64));
  printf(" a sge b: %d\n", bvconst_sge(a, b, 64));
  printf(" a slt b: %d\n", bvconst_slt(a, b, 64));
  printf(" a sgt b: %d\n", bvconst_sgt(a, b, 64));


  random_vector(vector, 65);
  bvconst_set_array(a, vector, 65);
  bvconst_set_array(b, vector, 65);
  printf("a = ");
  bvconst_print(stdout, a, 65);
  printf("\n");
  printf("b = ");
  bvconst_print(stdout, b, 65);
  printf("\n");

  bvconst_normalize(a, 65);
  bvconst_normalize(b, 65);
  printf("Unsigned tests\n");
  printf(" a le b: %d\n", bvconst_le(a, b, 65));
  printf(" a ge b: %d\n", bvconst_ge(a, b, 65));
  printf(" a lt b: %d\n", bvconst_lt(a, b, 65));
  printf(" a gt b: %d\n", bvconst_gt(a, b, 65));

  printf("Signed tests\n");
  printf(" a sle b: %d\n", bvconst_sle(a, b, 65));
  printf(" a sge b: %d\n", bvconst_sge(a, b, 65));
  printf(" a slt b: %d\n", bvconst_slt(a, b, 65));
  printf(" a sgt b: %d\n", bvconst_sgt(a, b, 65));

  random_vector(vector, 63);
  bvconst_set_array(a, vector, 63);
  bvconst_set_array(b, vector, 63);
  printf("a = ");
  bvconst_print(stdout, a, 63);
  printf("\n");
  printf("b = ");
  bvconst_print(stdout, b, 63);
  printf("\n");

  bvconst_normalize(a, 63);
  bvconst_normalize(b, 63);
  printf("Unsigned tests\n");
  printf(" a le b: %d\n", bvconst_le(a, b, 63));
  printf(" a ge b: %d\n", bvconst_ge(a, b, 63));
  printf(" a lt b: %d\n", bvconst_lt(a, b, 63));
  printf(" a gt b: %d\n", bvconst_gt(a, b, 63));

  printf("Signed tests\n");
  printf(" a sle b: %d\n", bvconst_sle(a, b, 63));
  printf(" a sge b: %d\n", bvconst_sge(a, b, 63));
  printf(" a slt b: %d\n", bvconst_slt(a, b, 63));
  printf(" a sgt b: %d\n", bvconst_sgt(a, b, 63));

  printf("\nTest powers of two\n");
  mpz_set_ui(z0, 1);
  for (i=0; i<128; i++) {
    printf("z0 = ");
    mpz_out_str(stdout, 10, z0);
    printf("\n");
    bvconst_set_mpz(a, 4, z0);
    printf("a = ");
    bvconst_print(stdout, a, 128);
    printf("\n");

    n = bvconst_is_power_of_two(a, 4);
    if (n < 0) {
      printf("--> not a power of 2\n\n");
    } else {
      printf("--> a = 2^%"PRId32"\n\n", n);
    }
    mpz_add(z0, z0, z0);
  }


  a[0] = 0;
  a[1] = 1024;
  a[2] = 0;
  a[3] = 36136287;
  printf("a = ");
  bvconst_print(stdout, a, 128);
  printf("\n");
  n = bvconst_is_power_of_two(a, 4);
  if (n < 0) {
    printf("--> not a power of 2\n\n");
  } else {
    printf("--> a = 2^%"PRId32"\n\n", n);
  }

  a[0] = 0;
  a[1] = 1024;
  a[2] = 31209;
  a[3] = 0;
  printf("a = ");
  bvconst_print(stdout, a, 128);
  printf("\n");
  n = bvconst_is_power_of_two(a, 4);
  if (n < 0) {
    printf("--> not a power of 2\n\n");
  } else {
    printf("--> a = 2^%"PRId32"\n\n", n);
  }


  a[0] = 0;
  a[1] = 1024;
  a[2] = 0;
  a[3] = 0;
  printf("a = ");
  bvconst_print(stdout, a, 128);
  printf("\n");
  n = bvconst_is_power_of_two(a, 4);
  if (n < 0) {
    printf("--> not a power of 2\n\n");
  } else {
    printf("--> a = 2^%"PRId32"\n\n", n);
  }


  a[0] = 128;
  a[1] = 1024;
  a[2] = 0;
  a[3] = 0;
  printf("a = ");
  bvconst_print(stdout, a, 128);
  printf("\n");
  n = bvconst_is_power_of_two(a, 4);
  if (n < 0) {
    printf("--> not a power of 2\n\n");
  } else {
    printf("--> a = 2^%"PRId32"\n\n", n);
  }




  bvconst_clear(a, 4);
  for (i=0; i<256; i++) {
    printf("a = ");
    bvconst_print(stdout, a, 128);
    printf("\n");

    n = bvconst_is_power_of_two(a, 4);
    if (n < 0) {
      printf("--> not a power of 2\n\n");
    } else {
      printf("--> a = 2^%"PRId32"\n\n", n);
    }
    bvconst_add_one(a, 4);
  }

  for (i=0; i<10; i++) {
    printf("test %"PRId32": power of two\n", i);
    random_vector(vector, 128);
    bvconst_set_array(a, vector, 128);

    for (j=0; j<64; j++) {
      printf("a = ");
      bvconst_print(stdout, a, 128);
      printf("\n");
      n = bvconst_is_power_of_two(a, 4);
      if (n < 0) {
	printf("--> not a power of 2\n\n");
      } else {
	printf("--> a = 2^%"PRId32"\n\n", n);
      }
      bvconst_clr_bit(a, j);
      bvconst_clr_bit(a, 127 - j);
    }
  }


  // test mulpower
  for (i=0; i<130; i++) {
    bvconst_set_one(a, 4);    // a = 1
    bvconst_set32(b, 4, 2);   // b = 2
    // compute a * b^i = 2^i
    bvconst_mulpower(a, 4, b, i);
    printf("---> mulpower: a = b^%"PRIu32" = 2^%"PRIu32"\n", i, i);
    printf("     b = ");
    bvconst_print(stdout, b, 128);
    printf("\n");
    printf("     a = ");
    bvconst_print(stdout, a, 128);
    printf("\n");
  }

  // test mulpower
  for (i=0; i<40; i++) {
    bvconst_set32(a, 4, 4);       // a = 0b0..00100
    bvconst_set_minus_one(b, 4);  // b = 0b11..1111
    // compute a * b^i = -4 or +4
    bvconst_mulpower(a, 4, b, i);
    printf("---> mulpower: a = 4 * b^%"PRIu32" = 4 * (-1)^%"PRIu32"\n", i, i);
    printf("     b = ");
    bvconst_print(stdout, b, 128);
    printf("\n");
    printf("     a = ");
    bvconst_print(stdout, a, 128);
    printf("\n");
  }

  // test mulpower
  for (i=0; i<40; i++) {
    bvconst_set32(a, 4, 4);     // a = 0b0..00100
    bvconst_clear(b, 4);        // b = 0
    // compute a * b^i = 0
    bvconst_mulpower(a, 4, b, i);
    printf("---> mulpower: a = 4 * b^%"PRIu32"\n", i);
    printf("     b = ");
    bvconst_print(stdout, b, 128);
    printf("\n");
    printf("     a = ");
    bvconst_print(stdout, a, 128);
    printf("\n");
  }


  // test is_one and is_minus_one
  printf("\n\n");
  for (i=1; i<=128; i++) {
    bvconst_set_one(a, 4);         // a = 1
    bvconst_set_minus_one(b, 4);   // b = -1
    bvconst_clear(c, 4);           // c = 0
    random_vector(vector, i);
    bvconst_set_array(d, vector, i); // d = random

    // make all i-bit length constant
    bvconst_normalize(a, i);
    bvconst_normalize(b, i);
    bvconst_normalize(c, i);
    bvconst_normalize(d, i);

    n = (i+31) >> 5;  // number of words
    printf("---> %"PRIu32" bits\n", i);
    printf("a = ");
    bvconst_print(stdout, a, i);
    printf(": is_one = %s, is_minus_one = %s\n", b2str(bvconst_is_one(a, n)), b2str(bvconst_is_minus_one(a, i)));

    printf("b = ");
    bvconst_print(stdout, b, i);
    printf(": is_one = %s, is_minus_one = %s\n", b2str(bvconst_is_one(b, n)), b2str(bvconst_is_minus_one(b, i)));

    printf("c = ");
    bvconst_print(stdout, c, i);
    printf(": is_one = %s, is_minus_one = %s\n", b2str(bvconst_is_one(c, n)), b2str(bvconst_is_minus_one(c, i)));

    printf("d = ");
    bvconst_print(stdout, d, i);
    printf(": is_one = %s, is_minus_one = %s\n", b2str(bvconst_is_one(d, n)), b2str(bvconst_is_minus_one(d, i)));

    printf("\n");
    fflush(stdout);
  }

  // test is_min_signed and is_max_signed
  printf("\n\n");
  for (i=1; i<=128; i++) {
    bvconst_clear(a, 4);           // a = 0
    bvconst_set_minus_one(b, 4);   // b = -1
    bvconst_clear(c, 4);
    bvconst_set_bit(c, i-1);       // c = 0b10000000 (smallest negative integer)
    bvconst_set_minus_one(d, 4);
    bvconst_clr_bit(d, i-1);       // d = 0b01111111 (largest positive integer)
    random_vector(vector, i);
    bvconst_set_array(e, vector, i); // e = random

    // make all i-bit length constant
    bvconst_normalize(a, i);
    bvconst_normalize(b, i);
    bvconst_normalize(c, i);
    bvconst_normalize(d, i);
    bvconst_normalize(e, i);

    printf("---> %"PRIu32" bits\n", i);
    printf("a = ");
    bvconst_print(stdout, a, i);
    printf(": is_min_signed = %s, is_max_signed = %s\n", b2str(bvconst_is_min_signed(a, i)), b2str(bvconst_is_max_signed(a, i)));

    printf("b = ");
    bvconst_print(stdout, b, i);
    printf(": is_min_signed = %s, is_max_signed = %s\n", b2str(bvconst_is_min_signed(b, i)), b2str(bvconst_is_max_signed(b, i)));

    printf("c = ");
    bvconst_print(stdout, c, i);
    printf(": is_min_signed = %s, is_max_signed = %s\n", b2str(bvconst_is_min_signed(c, i)), b2str(bvconst_is_max_signed(c, i)));

    printf("d = ");
    bvconst_print(stdout, d, i);
    printf(": is_min_signed = %s, is_max_signed = %s\n", b2str(bvconst_is_min_signed(d, i)), b2str(bvconst_is_max_signed(d, i)));

    printf("e = ");
    bvconst_print(stdout, e, i);
    printf(": is_min_signed = %s, is_max_signed = %s\n", b2str(bvconst_is_min_signed(e, i)), b2str(bvconst_is_max_signed(e, i)));

    printf("\n");
    fflush(stdout);
  }

  for (i=100; i<256; i += 10) {
    for (j=1; j<=i; j += 9) {
      test_set_extend(i, j);
    }
  }

  mpz_clear(z0);
  mpz_clear(z1);
  mpz_clear(z2);


  free_constants();

  return 0;
}
示例#4
0
int main() {
  int32_t x, y;
  uint32_t a, b, n;
  char c;
  string_buffer_t *s;

  s = &buffer;
  init_string_buffer(s, 0);
  show_test("empty buffer", s);

  string_buffer_reset(s);
  for (c = 'a'; c <= 'z'; c++) {
    string_buffer_append_char(s, c);
  }
  show_test("alphabet", s);

  string_buffer_reset(s);
  for (c = 'a'; c <= 'z'; c++) {
    string_buffer_append_char(s, c);
  }
  string_buffer_append_string(s, "au898ue2bcc90219");
  show_test("alphabet+au898ue2bcc90219", s);

  x = INT32_MIN;
  for (;;){
    sprintf(aux, "signed number: %" PRId32, x);
    string_buffer_reset(s);
    string_buffer_append_int32(s, x);
    show_test(aux, s);
    y = x >> 1;
    if (y == x) break;
    x = y;
  }

  x = INT32_MAX;
  for (;;) {
    sprintf(aux, "signed number: %" PRId32, x);
    string_buffer_reset(s);
    string_buffer_append_int32(s, x);
    show_test(aux, s);
    y = x>>1;
    if (y == x) break;
    x = y;
  }

  a = UINT32_MAX;
  for (;;){
    sprintf(aux, "unsigned number: %" PRIu32, a);
    string_buffer_reset(s);
    string_buffer_append_uint32(s, a);
    show_test(aux, s);
    b = a >> 1;
    if (b == a) break;
    a = b;
  }

  mpz_init(z0);
  mpz_init(z1);
  mpq_init(q0);

  mpz_set_str(z0, "111102222033330123456789", 10);
  string_buffer_reset(s);
  string_buffer_append_mpz(s, z0);
  show_test("mpz: 111102222033330123456789", s);

  mpz_set_str(z0, "-111102222033330123456789", 10);
  string_buffer_reset(s);
  string_buffer_append_mpz(s, z0);
  show_test("mpz: -111102222033330123456789", s);

  string_buffer_reset(s);
  string_buffer_append_mpz(s, z1);
  show_test("mpz: 0", s);

  mpq_set_str(q0, "-98765432109876543210", 10);
  string_buffer_reset(s);
  string_buffer_append_mpq(s, q0);
  show_test("mpq: -98765432109876543210", s);

  mpq_set_str(q0, "-98765432109876543210/38192839777", 10);
  string_buffer_reset(s);
  string_buffer_append_mpq(s, q0);
  show_test("mpq: -98765432109876543210/38192839777", s);

  init_rationals();
  rational_t r0;
  q_init(&r0);
  string_buffer_reset(s);
  string_buffer_append_rational(s, &r0);
  show_test("rational: 0", s);

  q_set_int32(&r0, -12, 73);
  string_buffer_reset(s);
  string_buffer_append_rational(s, &r0);
  show_test("rational: -12/73", s);

  q_set_mpq(&r0, q0);
  string_buffer_reset(s);
  string_buffer_append_rational(s, &r0);
  show_test("rational: -98765432109876543210/38192839777", s);

  q_set_mpz(&r0, z0);
  string_buffer_reset(s);
  string_buffer_append_rational(s, &r0);
  show_test("rational: -111102222033330123456789", s);


  printf("\nBit Vectors\n");
  init_bvconstants();
  bv0 = bvconst_alloc(1);
  bvconst_clear(bv0, 1);
  for (n=1; n<= 32; n++) {
    string_buffer_reset(s);
    string_buffer_append_bvconst(s, bv0, n);
    sprintf(aux, "bv[%" PRIu32"]: 0b000...", n);
    show_test(aux, s);
  }

  for (n=1; n <= 32; n++) {
    bvconst_clear(bv0, 1);
    bvconst_set_bit(bv0, n-1);
    string_buffer_reset(s);
    string_buffer_append_bvconst(s, bv0, n);
    sprintf(aux, "bv[%" PRIu32"]: 0b100...", n);
    show_test(aux, s);
  }


  bvconst_free(bv0, 1);

  cleanup_bvconstants();

  cleanup_rationals();

  mpz_clear(z0);
  mpz_clear(z1);
  mpq_clear(q0);

  delete_string_buffer(s);

  return 0;
}