mpir/tests/cxx/t-ops.cc

/* Test mp*_class operators and functions.

Copyright 2001, 2002, 2003 Free Software Foundation, Inc.

This file is part of the GNU MP Library.

The GNU MP Library is free software; you can redistribute it and/or modify
it under the terms of the GNU Lesser General Public License as published by
the Free Software Foundation; either version 2.1 of the License, or (at your
option) any later version.

The GNU MP Library is distributed in the hope that it will be useful, but
WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Lesser General Public
License for more details.

You should have received a copy of the GNU Lesser General Public License
along with the GNU MP Library; see the file COPYING.LIB.  If not, write to
the Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston,
MA 02110-1301, USA. */

#include "config.h"

#include <iostream>

#include "gmp.h"
#include "gmpxx.h"
#include "gmp-impl.h"
#include "tests.h"

using namespace std;


void
check_mpz (void)
{
  // unary operators and functions

  // operator+
  {
    mpz_class a(1);
    mpz_class b;
    b = +a; ASSERT_ALWAYS(b == 1);
  }

  // operator-
  {
    mpz_class a(2);
    mpz_class b;
    b = -a; ASSERT_ALWAYS(b == -2);
  }

  // operator~
  {
    mpz_class a(3);
    mpz_class b;
    b = ~a; ASSERT_ALWAYS(b == -4);
  }

  // abs
  {
    mpz_class a(-123);
    mpz_class b;
    b = abs(a); ASSERT_ALWAYS(b == 123);
  }

  // sqrt
  {
    mpz_class a(25);
    mpz_class b;
    b = sqrt(a); ASSERT_ALWAYS(b == 5);
  }
  {
    mpz_class a(125);
    mpz_class b;
    b = sqrt(a); ASSERT_ALWAYS(b == 11); // round toward zero
  }

  // sgn
  {
    mpz_class a(123);
    int b = sgn(a); ASSERT_ALWAYS(b == 1);
  }
  {
    mpz_class a(0);
    int b = sgn(a); ASSERT_ALWAYS(b == 0);
  }
  {
    mpz_class a(-123);
    int b = sgn(a); ASSERT_ALWAYS(b == -1);
  }


  // binary operators and functions

  // operator+
  {
    mpz_class a(1), b(2);
    mpz_class c;
    c = a + b; ASSERT_ALWAYS(c == 3);
  }
  {
    mpz_class a(3);
    signed int b = 4;
    mpz_class c;
    c = a + b; ASSERT_ALWAYS(c == 7);
  }
  {
    mpz_class a(5);
    double b = 6.0;
    mpz_class c;
    c = b + a; ASSERT_ALWAYS(c == 11);
  }

  // operator-
  {
    mpz_class a(3), b(6);
    mpz_class c;
    c = a - b; ASSERT_ALWAYS(c == -3);
  }

  // operator*
  {
    mpz_class a(-2), b(4);
    mpz_class c;
    c = a * b; ASSERT_ALWAYS(c == -8);
  }
  {
    mpz_class a(2);
    long b = -4;
    mpz_class c;
    c = a * b; ASSERT_ALWAYS(c == -8);
    c = b * a; ASSERT_ALWAYS(c == -8);
  }
  {
    mpz_class a(-2);
    unsigned long b = 4;
    mpz_class c;
    c = a * b; ASSERT_ALWAYS(c == -8);
    c = b * a; ASSERT_ALWAYS(c == -8);
  }

  // operator/ and operator%
  {
    mpz_class a(12), b(4);
    mpz_class c;
    c = a / b; ASSERT_ALWAYS(c == 3);
    c = a % b; ASSERT_ALWAYS(c == 0);
  }
  {
    mpz_class a(7), b(5);
    mpz_class c;
    c = a / b; ASSERT_ALWAYS(c == 1);
    c = a % b; ASSERT_ALWAYS(c == 2);
  }
  {
    mpz_class a(-10);
    signed int ai = -10;
    mpz_class b(3);
    signed int bi = 3;
    mpz_class c;
    c = a / b;  ASSERT_ALWAYS(c == -3);
    c = a % b;  ASSERT_ALWAYS(c == -1);
    c = a / bi; ASSERT_ALWAYS(c == -3);
    c = a % bi; ASSERT_ALWAYS(c == -1);
    c = ai / b; ASSERT_ALWAYS(c == -3);
    c = ai % b; ASSERT_ALWAYS(c == -1);
  }
  {
    mpz_class a(-10);
    signed int ai = -10;
    mpz_class b(-3);
    signed int bi = -3;
    mpz_class c;
    c = a / b;  ASSERT_ALWAYS(c == 3);
    c = a % b;  ASSERT_ALWAYS(c == -1);
    c = a / bi; ASSERT_ALWAYS(c == 3);
    c = a % bi; ASSERT_ALWAYS(c == -1);
    c = ai / b; ASSERT_ALWAYS(c == 3);
    c = ai % b; ASSERT_ALWAYS(c == -1);
  }
  {
    mpz_class a (LONG_MIN);
    signed long ai = LONG_MIN;
    mpz_class b = - mpz_class (LONG_MIN);
    mpz_class c;
    c = a / b;  ASSERT_ALWAYS(c == -1);
    c = a % b;  ASSERT_ALWAYS(c == 0);
    c = ai / b; ASSERT_ALWAYS(c == -1);
    c = ai % b; ASSERT_ALWAYS(c == 0);
  }

  // operator&
  // operator|
  // operator^

  // operator<<
  {
    mpz_class a(3);
    unsigned int b = 4;
    mpz_class c;
    c = a << b; ASSERT_ALWAYS(c == 48);
  }

  // operator>>
  {
    mpz_class a(127);
    unsigned int b = 4;
    mpz_class c;
    c = a >> b; ASSERT_ALWAYS(c == 7);
  }

  // operator==
  // operator!=
  // operator<
  // operator<=
  // operator>
  // operator>=

  // cmp
  {
    mpz_class a(123), b(45);
    int c;
    c = cmp(a, b); ASSERT_ALWAYS(c > 0);
    c = cmp(b, a); ASSERT_ALWAYS(c < 0);
  }
  {
    mpz_class a(123);
    unsigned long b = 45;
    int c;
    c = cmp(a, b); ASSERT_ALWAYS(c > 0);
    c = cmp(b, a); ASSERT_ALWAYS(c < 0);
  }
  {
    mpz_class a(123);
    long b = 45;
    int c;
    c = cmp(a, b); ASSERT_ALWAYS(c > 0);
    c = cmp(b, a); ASSERT_ALWAYS(c < 0);
  }
  {
    mpz_class a(123);
    double b = 45;
    int c;
    c = cmp(a, b); ASSERT_ALWAYS(c > 0);
    c = cmp(b, a); ASSERT_ALWAYS(c < 0);
  }


  // ternary operators

  // mpz_addmul
  {
    mpz_class a(1), b(2), c(3);
    mpz_class d;
    d = a + b * c; ASSERT_ALWAYS(d == 7);
  }
  {
    mpz_class a(1), b(2);
    unsigned int c = 3;
    mpz_class d;
    d = a + b * c; ASSERT_ALWAYS(d == 7);
  }
  {
    mpz_class a(1), b(3);
    unsigned int c = 2;
    mpz_class d;
    d = a + c * b; ASSERT_ALWAYS(d == 7);
  }
  {
    mpz_class a(1), b(2);
    signed int c = 3;
    mpz_class d;
    d = a + b * c; ASSERT_ALWAYS(d == 7);
  }
  {
    mpz_class a(1), b(3);
    signed int c = 2;
    mpz_class d;
    d = a + c * b; ASSERT_ALWAYS(d == 7);
  }
  {
    mpz_class a(1), b(2);
    double c = 3.0;
    mpz_class d;
    d = a + b * c; ASSERT_ALWAYS(d == 7);
  }
  {
    mpz_class a(1), b(3);
    double c = 2.0;
    mpz_class d;
    d = a + c * b; ASSERT_ALWAYS(d == 7);
  }

  {
    mpz_class a(2), b(3), c(4);
    mpz_class d;
    d = a * b + c; ASSERT_ALWAYS(d == 10);
  }
  {
    mpz_class a(2), b(4);
    unsigned int c = 3;
    mpz_class d;
    d = a * c + b; ASSERT_ALWAYS(d == 10);
  }
  {
    mpz_class a(3), b(4);
    unsigned int c = 2;
    mpz_class d;
    d = c * a + b; ASSERT_ALWAYS(d == 10);
  }
  {
    mpz_class a(2), b(4);
    signed int c = 3;
    mpz_class d;
    d = a * c + b; ASSERT_ALWAYS(d == 10);
  }
  {
    mpz_class a(3), b(4);
    signed int c = 2;
    mpz_class d;
    d = c * a + b; ASSERT_ALWAYS(d == 10);
  }
  {
    mpz_class a(2), b(4);
    double c = 3.0;
    mpz_class d;
    d = a * c + b; ASSERT_ALWAYS(d == 10);
  }
  {
    mpz_class a(3), b(4);
    double c = 2.0;
    mpz_class d;
    d = c * a + b; ASSERT_ALWAYS(d == 10);
  }

  // mpz_submul
  {
    mpz_class a(1), b(2), c(3);
    mpz_class d;
    d = a - b * c; ASSERT_ALWAYS(d == -5);
  }
  {
    mpz_class a(1), b(2);
    unsigned int c = 3;
    mpz_class d;
    d = a - b * c; ASSERT_ALWAYS(d == -5);
  }
  {
    mpz_class a(1), b(3);
    unsigned int c = 2;
    mpz_class d;
    d = a - c * b; ASSERT_ALWAYS(d == -5);
  }
  {
    mpz_class a(1), b(2);
    signed int c = 3;
    mpz_class d;
    d = a - b * c; ASSERT_ALWAYS(d == -5);
  }
  {
    mpz_class a(1), b(3);
    signed int c = 2;
    mpz_class d;
    d = a - c * b; ASSERT_ALWAYS(d == -5);
  }
  {
    mpz_class a(1), b(2);
    double c = 3.0;
    mpz_class d;
    d = a - b * c; ASSERT_ALWAYS(d == -5);
  }
  {
    mpz_class a(1), b(3);
    double c = 2.0;
    mpz_class d;
    d = a - c * b; ASSERT_ALWAYS(d == -5);
  }

  {
    mpz_class a(2), b(3), c(4);
    mpz_class d;
    d = a * b - c; ASSERT_ALWAYS(d == 2);
  }
  {
    mpz_class a(2), b(4);
    unsigned int c = 3;
    mpz_class d;
    d = a * c - b; ASSERT_ALWAYS(d == 2);
  }
  {
    mpz_class a(3), b(4);
    unsigned int c = 2;
    mpz_class d;
    d = c * a - b; ASSERT_ALWAYS(d == 2);
  }
  {
    mpz_class a(2), b(4);
    signed int c = 3;
    mpz_class d;
    d = a * c - b; ASSERT_ALWAYS(d == 2);
  }
  {
    mpz_class a(3), b(4);
    signed int c = 2;
    mpz_class d;
    d = c * a - b; ASSERT_ALWAYS(d == 2);
  }
  {
    mpz_class a(2), b(4);
    double c = 3.0;
    mpz_class d;
    d = a * c - b; ASSERT_ALWAYS(d == 2);
  }
  {
    mpz_class a(3), b(4);
    double c = 2.0;
    mpz_class d;
    d = c * a - b; ASSERT_ALWAYS(d == 2);
  }
}

void
check_mpq (void)
{
  // unary operators and functions

  // operator+
  {
    mpq_class a(1, 2);
    mpq_class b;
    b = +a; ASSERT_ALWAYS(b == 0.5);
  }

  // operator-
  {
    mpq_class a(3, 4);
    mpq_class b;
    b = -a; ASSERT_ALWAYS(b == -0.75);
  }

  // abs
  {
    mpq_class a(-123);
    mpq_class b;
    b = abs(a); ASSERT_ALWAYS(b == 123);
  }

  // sgn
  {
    mpq_class a(123);
    int b = sgn(a); ASSERT_ALWAYS(b == 1);
  }
  {
    mpq_class a(0);
    int b = sgn(a); ASSERT_ALWAYS(b == 0);
  }
  {
    mpq_class a(-123);
    int b = sgn(a); ASSERT_ALWAYS(b == -1);
  }


  // binary operators and functions

  // operator+
  {
    mpq_class a(1, 2), b(3, 4);
    mpq_class c;
    c = a + b; ASSERT_ALWAYS(c == 1.25);
  }
  {
    mpq_class a(1, 2);
    signed int b = 2;
    mpq_class c;
    c = a + b; ASSERT_ALWAYS(c == 2.5);
  }
  {
    mpq_class a(1, 2);
    double b = 1.5;
    mpq_class c;
    c = b + a; ASSERT_ALWAYS(c == 2);
  }

  // operator-
  {
    mpq_class a(1, 2), b(3, 4);
    mpq_class c;
    c = a - b; ASSERT_ALWAYS(c == -0.25);
  }

  // operator*
  {
    mpq_class a(1, 3), b(3, 4);
    mpq_class c;
    c = a * b; ASSERT_ALWAYS(c == 0.25);
  }

  // operator/
  {
    mpq_class a(1, 2), b(2, 3);
    mpq_class c;
    c = a / b; ASSERT_ALWAYS(c == 0.75);
  }

  // operator<<
  // operator>>
  // operator==
  // operator!=
  // operator<
  // operator<=
  // operator>
  // operator>=

  // cmp
  {
    mpq_class a(123), b(45);
    int c;
    c = cmp(a, b); ASSERT_ALWAYS(c > 0);
    c = cmp(b, a); ASSERT_ALWAYS(c < 0);
  }
  {
    mpq_class a(123);
    unsigned long b = 45;
    int c;
    c = cmp(a, b); ASSERT_ALWAYS(c > 0);
    c = cmp(b, a); ASSERT_ALWAYS(c < 0);
  }
  {
    mpq_class a(123);
    long b = 45;
    int c;
    c = cmp(a, b); ASSERT_ALWAYS(c > 0);
    c = cmp(b, a); ASSERT_ALWAYS(c < 0);
  }
  {
    mpq_class a(123);
    double b = 45;
    int c;
    c = cmp(a, b); ASSERT_ALWAYS(c > 0);
    c = cmp(b, a); ASSERT_ALWAYS(c < 0);
  }
}

void
check_mpf (void)
{
  // unary operators and functions

  // operator+
  {
    mpf_class a(1);
    mpf_class b;
    b = +a; ASSERT_ALWAYS(b == 1);
  }

  // operator-
  {
    mpf_class a(2);
    mpf_class b;
    b = -a; ASSERT_ALWAYS(b == -2);
  }

  // abs
  {
    mpf_class a(-123);
    mpf_class b;
    b = abs(a); ASSERT_ALWAYS(b == 123);
  }

  // trunc
  {
    mpf_class a(1.5);
    mpf_class b;
    b = trunc(a); ASSERT_ALWAYS(b == 1);
  }
  {
    mpf_class a(-1.5);
    mpf_class b;
    b = trunc(a); ASSERT_ALWAYS(b == -1);
  }

  // floor
  {
    mpf_class a(1.9);
    mpf_class b;
    b = floor(a); ASSERT_ALWAYS(b == 1);
  }
  {
    mpf_class a(-1.1);
    mpf_class b;
    b = floor(a); ASSERT_ALWAYS(b == -2);
  }

  // ceil
  {
    mpf_class a(1.1);
    mpf_class b;
    b = ceil(a); ASSERT_ALWAYS(b == 2);
  }
  {
    mpf_class a(-1.9);
    mpf_class b;
    b = ceil(a); ASSERT_ALWAYS(b == -1);
  }

  // sqrt
  {
    mpf_class a(25);
    mpf_class b;
    b = sqrt(a); ASSERT_ALWAYS(b == 5);
  }
  {
    mpf_class a(2.25);
    mpf_class b;
    b = sqrt(a); ASSERT_ALWAYS(b == 1.5);
  }

  // sgn
  {
    mpf_class a(123);
    int b = sgn(a); ASSERT_ALWAYS(b == 1);
  }
  {
    mpf_class a(0);
    int b = sgn(a); ASSERT_ALWAYS(b == 0);
  }
  {
    mpf_class a(-123);
    int b = sgn(a); ASSERT_ALWAYS(b == -1);
  }


  // binary operators and functions

  // operator+
  {
    mpf_class a(1), b(2);
    mpf_class c;
    c = a + b; ASSERT_ALWAYS(c == 3);
  }

  // operator-
  {
    mpf_class a(3), b(4);
    mpf_class c;
    c = a - b; ASSERT_ALWAYS(c == -1);
  }

  // operator*
  {
    mpf_class a(2), b(5);
    mpf_class c;
    c = a * b; ASSERT_ALWAYS(c == 10);
  }

  // operator/
  {
    mpf_class a(7), b(4);
    mpf_class c;
    c = a / b; ASSERT_ALWAYS(c == 1.75);
  }

  // operator<<
  // operator>>
  // operator==
  // operator!=
  // operator<
  // operator<=
  // operator>
  // operator>=

  // hypot
  {
    mpf_class a(3), b(4);
    mpf_class c;
    c = hypot(a, b); ASSERT_ALWAYS(c == 5);
  }

  // cmp
  {
    mpf_class a(123), b(45);
    int c;
    c = cmp(a, b); ASSERT_ALWAYS(c > 0);
    c = cmp(b, a); ASSERT_ALWAYS(c < 0);
  }
  {
    mpf_class a(123);
    unsigned long b = 45;
    int c;
    c = cmp(a, b); ASSERT_ALWAYS(c > 0);
    c = cmp(b, a); ASSERT_ALWAYS(c < 0);
  }
  {
    mpf_class a(123);
    long b = 45;
    int c;
    c = cmp(a, b); ASSERT_ALWAYS(c > 0);
    c = cmp(b, a); ASSERT_ALWAYS(c < 0);
  }
  {
    mpf_class a(123);
    double b = 45;
    int c;
    c = cmp(a, b); ASSERT_ALWAYS(c > 0);
    c = cmp(b, a); ASSERT_ALWAYS(c < 0);
  }
}



int
main (void)
{
  tests_start();

  check_mpz();
  check_mpq();
  check_mpf();

  tests_end();
  return 0;
}