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/*
* This file is part of the source code of the software program
* Vampire. It is protected by applicable
* copyright laws.
*
* This source code is distributed under the licence found here
* https://vprover.github.io/license.html
* and in the source directory
*/
#include "Shell/Options.hpp"
#include "Test/SyntaxSugar.hpp"
#include "Inferences/ALASCA/IntegerFourierMotzkin.hpp"
#include "Test/SyntaxSugar.hpp"
#include "Test/GenerationTester.hpp"
#include "Test/AlascaTestUtils.hpp"
using namespace std;
using namespace Kernel;
using namespace Inferences;
using namespace Test;
using namespace Indexing;
using namespace Inferences::ALASCA;
// TODO tests for Rationals
////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
////// TEST CASES
/////////////////////////////////////
#define SUGAR(Num) \
NUMBER_SUGAR(Num) \
DECL_DEFAULT_VARS \
DECL_VAR(x0, 0) \
DECL_VAR(x1, 1) \
DECL_VAR(x2, 2) \
DECL_VAR(x3, 3) \
DECL_VAR(x4, 4) \
DECL_VAR(x5, 5) \
DECL_VAR(x6, 6) \
DECL_VAR(x7, 7) \
DECL_VAR(x8, 8) \
DECL_VAR(x9, 9) \
DECL_VAR(x10, 10) \
DECL_VAR(x11, 11) \
DECL_VAR(x12, 12) \
DECL_VAR(x13, 13) \
DECL_VAR(x14, 14) \
DECL_VAR(x15, 15) \
DECL_VAR(x16, 16) \
DECL_VAR(x17, 17) \
DECL_VAR(x18, 18) \
DECL_VAR(x19, 19) \
DECL_VAR(x20, 20) \
DECL_VAR(x21, 21) \
DECL_VAR(x22, 22) \
DECL_VAR(x23, 23) \
DECL_VAR(x24, 24) \
DECL_VAR(x25, 25) \
DECL_VAR(x26, 26) \
DECL_VAR(x27, 27) \
DECL_VAR(x28, 28) \
DECL_VAR(x29, 29) \
DECL_FUNC(f, {Num}, Num) \
DECL_FUNC(f3, {Num,Num,Num}, Num) \
DECL_FUNC(g, {Num, Num}, Num) \
DECL_CONST(a, Num) \
DECL_CONST(a0, Num) \
DECL_CONST(a1, Num) \
DECL_CONST(a2, Num) \
DECL_CONST(a3, Num) \
DECL_CONST(b, Num) \
DECL_CONST(c, Num) \
DECL_PRED(r, {Num,Num}) \
DECL_SORT(srt) \
DECL_CONST(au, srt) \
DECL_CONST(bu, srt) \
DECL_FUNC(fu, {Num}, srt) \
DECL_FUNC(fn, {srt}, Num) \
DECL_CONST(delta, Num) \
DECL_FUNC(gg, {Num}, Num) \
DECL_FUNC(ff, {Num}, Num) \
DECL_FUNC(ab, {Num}, Num) \
DECL_FUNC(skx, {Num}, Num) \
#define MY_SYNTAX_SUGAR SUGAR(Real)
auto testIntegerFourierMotzkin(
Options::UnificationWithAbstraction uwa = Options::UnificationWithAbstraction::ALASCA_MAIN
)
{
auto s = testAlascaState(uwa);
return alascaSimplRule(s, IntegerFourierMotzkin<RealTraits>(s), s);
}
REGISTER_GEN_TESTER(AlascaGenerationTester<IntegerFourierMotzkin<RealTraits>>(testIntegerFourierMotzkin()))
/////////////////////////////////////////////////////////
// Basic tests
//////////////////////////////////////
#define isInt(t) floor(t) == t
TEST_GENERATION(basic01,
Generation::SymmetricTest()
.inputs ({ clause({ f3(a,b,c) + a > 0 })
, clause({ -f3(a,b,c) + b > 0 })
, clause({ isInt(f3(a,b,c)) }) })
.expected(exactly(
clause({ ceil(a) + ceil(b) - 2 > 0, f3(a,b,c) + ceil(a) == 1 })
))
)
TEST_GENERATION(basic02,
Generation::SymmetricTest()
.inputs ({ clause({ f3(a,b,c) + a > 0 })
, clause({ -f3(a,b,c) + b > 0 })
, clause({ isInt(b) }) })
.expected(exactly(
/* nothing */
))
)
TEST_GENERATION(basic03,
Generation::SymmetricTest()
.inputs ({ clause({ f3(a,b,c) + a > 0 })
, clause({ -f3(a,b,c) + b > 0 })
, clause({ f3(a,b,c) == floor(f(f3(a,b,c))) }) })
.expected(exactly(
clause({ ceil(a) + ceil(b) - 2 > 0, f3(a,b,c) + ceil(a) == 1 })
))
)
TEST_GENERATION(basic04,
Generation::SymmetricTest()
.inputs ({ clause({ f3(a,b,c) + a > 0 })
, clause({ -f3(a,b,c) + b > 0 })
, clause({ isInt(2 * f3(a,b,c)) }) })
.expected(exactly(
clause({ ceil(2 * a) + ceil(2 * b) - 2 > 0, 2 * f3(a,b,c) + ceil(2 * a) == 1 })
))
)
TEST_GENERATION(basic05,
Generation::SymmetricTest()
.inputs ({ clause({ f3(a,b,c) + a > 0 })
, clause({ -f3(a,b,c) + b > 0 })
, clause({ isInt(f3(a,b,c) / 2) }) })
.expected(exactly(
clause({ ceil(a / 2) + ceil(b / 2) - 2 > 0, f3(a,b,c) / 2 + ceil(a / 2) == 1 })
))
)
TEST_GENERATION(basic06,
Generation::SymmetricTest()
.inputs ({ clause({ f3(a,b,c) + a > 0 })
, clause({ -f3(a,b,c) + b > 0 })
, clause({ isInt(f3(a,b,c) / 2 + frac(1,2)) }) })
.expected(exactly(
clause({ ceil(a / 2 - frac(1,2)) + ceil(b / 2 + frac(1,2)) - 2 > 0, f3(a,b,c) / 2 + frac(1,2) + ceil(a / 2 - frac(1,2)) == 1 })
))
)
TEST_GENERATION(basic07,
Generation::SymmetricTest()
.inputs ({ clause({ f3(a,b,c) + a > 0 })
, clause({ -f3(a,b,c) + b > 0 })
, clause({ isInt(f3(a,b,c) / 2 + c) }) })
.expected(exactly(
clause({ ceil(a / 2 - c) + ceil(b / 2 + c) - 2 > 0, f3(a,b,c) / 2 + c + ceil(a / 2 - c) == 1 })
))
)
TEST_GENERATION(bug01,
Generation::SymmetricTest()
.inputs ({ clause({ b + a > 0 })
, clause({ -b - a > 0 })
, clause({ floor(c) == -a - b }) })
.expected(exactly(
clause({ a + b == 1 })
))
)
TEST_GENERATION(bug02,
Generation::SymmetricTest()
.inputs ({ clause({ b + a >= 0 })
, clause({ -b - a >= 0 })
, clause({ floor(c) == -a - b }) })
.expected(exactly(
))
)
TEST_GENERATION(bug03,
Generation::SymmetricTest()
.inputs ({ clause({ f3(a, y, z) + a > 0 })
, clause({ -f3(x, b, z) - a > 0 })
, clause({ floor(-a - f3(x, y, c)) == -a - f3(x, y, c) }) })
.expected(exactly(
clause({ 0 == a + -1 + f3(a,b,c) })
))
)