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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
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Leonardo de Moura 2012-10-21 22:16:58 -07:00
parent 142bf71b35
commit 9359ab7ce5
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/*++
Copyright (c) 2006 Microsoft Corporation
Module Name:
tst_inf_rational.cpp
Abstract:
Test for Rational numbers with infinitesimals
Author:
Leonardo de Moura (leonardo) 2006-09-18.
Nikolaj Bjorner (nbjorner) 2006-10-24.
Revision History:
--*/
#include"inf_rational.h"
static void tst0() {
inf_rational n(rational(0), false);
TRACE("inf_rational", tout << n << "\n";);
SASSERT(n < inf_rational::zero());
SASSERT(!(n >= inf_rational::zero()));
}
void test_inc_dec(
inf_rational& r,
inf_rational const & b_8_5,
inf_rational const & b_7_5,
inf_rational const & b_7_10,
inf_rational const & b_17_10
)
{
r += rational(1,5);
SASSERT (r == b_8_5);
r -= rational(1,5);
SASSERT (r == b_7_5);
r += inf_rational(1,5);
SASSERT (r == b_8_5);
r -= inf_rational(1,5);
SASSERT (r == b_7_5);
r /= rational(2,1);
SASSERT (r == b_7_10);
inf_rational r_pre = r++;
SASSERT (r_pre == b_7_10);
SASSERT (r == b_17_10);
inf_rational r_post = --r;
SASSERT (r_post == b_7_10);
SASSERT (r == b_7_10);
r_post = ++r;
SASSERT (r_post == b_17_10);
SASSERT (r == b_17_10);
r_pre = r--;
SASSERT (r_pre == b_17_10);
SASSERT (r == b_7_10);
r_pre = r;
r_pre += inf_rational(1,2);
r_post = r_pre;
r_post -= inf_rational(1,2);
SASSERT(r == r_post);
SASSERT(r + inf_rational(1,2) == r_pre);
r_pre = r;
r_pre /= rational(2,1);
r_post = r_pre;
r_post /= rational(1,2);
SASSERT(r == r_post);
SASSERT(rational(1,2) * r == r_pre);
SASSERT(r == r_pre / rational(1,2));
}
void
tst_inf_rational()
{
tst0();
inf_rational r1;
inf_rational r2(r1);
SASSERT (r1 == r2);
inf_rational r3(1);
inf_rational r4(0);
SASSERT (r4 == r1);
SASSERT (r3 != r4);
inf_rational r5(0,1);
inf_rational r6(1,1);
inf_rational r7(2,2);
inf_rational r8(7,5);
SASSERT (r1 == r5);
SASSERT (r6 == r3);
SASSERT (r7 == r3);
inf_rational r9(rational(7,5));
SASSERT (r8 == r9);
r9.reset();
SASSERT (r1 == r9);
SASSERT (r1.is_int());
SASSERT (!r8.is_int());
SASSERT (0 == r1.get_int64());
r9 = r8;
SASSERT (r8 == r9);
inf_rational n = numerator(r7);
inf_rational d = denominator(r7);
{
inf_rational b_8_5 = inf_rational(8,5);
inf_rational b_7_5 = inf_rational(7,5);
inf_rational b_7_10 = inf_rational(7,10);
inf_rational b_17_10 = inf_rational(17,10);
inf_rational r = r9;
test_inc_dec(r, b_8_5, b_7_5, b_7_10, b_17_10);
}
{
inf_rational b_8_5 = inf_rational(rational(8,5),true);
inf_rational b_7_5 = inf_rational(rational(7,5),true);
inf_rational b_7_10 = inf_rational(rational(7,5),true) / rational(2);
inf_rational b_17_10 = b_7_10 + inf_rational(1);
inf_rational r (rational(7,5),true);
test_inc_dec(r, b_8_5, b_7_5, b_7_10, b_17_10);
}
SASSERT(inf_rational(rational(1,2),true) > inf_rational(rational(1,2)));
SASSERT(inf_rational(rational(1,2),false) < inf_rational(rational(1,2)));
SASSERT(inf_rational(rational(1,2),true) >= inf_rational(rational(1,2)));
SASSERT(inf_rational(rational(1,2)) >= inf_rational(rational(1,2),false));
SASSERT(inf_rational(rational(1,2),false) != inf_rational(rational(1,2)));
SASSERT(inf_rational(rational(1,2),true) != inf_rational(rational(1,2)));
SASSERT(inf_rational(rational(1,2),false) != inf_rational(rational(1,2),true));
inf_rational h_neg(rational(1,2),false);
inf_rational h_pos(rational(1,2),true);
h_neg.neg();
SASSERT(h_neg == -inf_rational(rational(1,2),false));
h_neg.neg();
SASSERT(h_neg == inf_rational(rational(1,2),false));
SASSERT(r1.is_zero() && !r1.is_one() && !r1.is_neg() && r1.is_nonneg() && r1.is_nonpos() && !r1.is_pos());
SASSERT(!r3.is_zero() && r3.is_one() && !r3.is_neg() && r3.is_nonneg() && !r3.is_nonpos() && r3.is_pos());
SASSERT(floor(inf_rational(rational(1,2),false)) == rational());
SASSERT(floor(inf_rational(rational(1,2))) == rational());
SASSERT(floor(inf_rational(rational(),false)) == rational(-1));
SASSERT(floor(inf_rational(rational())) == rational());
SASSERT(floor(inf_rational(rational(),true)) == rational());
SASSERT(floor(inf_rational(rational(1),false)) == rational());
SASSERT(floor(inf_rational(rational(1))) == rational(1));
SASSERT(floor(inf_rational(rational(1),true)) == rational(1));
SASSERT(ceil(inf_rational(rational(1,2),false)) == rational(1));
SASSERT(ceil(inf_rational(rational(1,2))) == rational(1));
SASSERT(ceil(inf_rational(rational(),false)) == rational());
SASSERT(ceil(inf_rational(rational())) == rational());
SASSERT(ceil(inf_rational(rational(),true)) == rational(1));
SASSERT(ceil(inf_rational(rational(1),false)) == rational(1));
SASSERT(ceil(inf_rational(rational(1))) == rational(1));
SASSERT(ceil(inf_rational(rational(1),true)) == rational(2));
unsigned h = r9.hash();
inf_rational x(rational(1,2),true);
inf_rational y(1,2);
x.swap(y);
SASSERT (x == inf_rational(1,2));
SASSERT (y == inf_rational(rational(1,2),true));
SASSERT(inf_rational(1,2) == abs(-inf_rational(1,2)));
}