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|
/*******************************************************************************
*
* Tests for muzq
*
* Author: Maxime Arthaud
*
* Contact: ikos@lists.nasa.gov
*
* Notices:
*
* Copyright (c) 2018-2019 United States Government as represented by the
* Administrator of the National Aeronautics and Space Administration.
* All Rights Reserved.
*
* Disclaimers:
*
* No Warranty: THE SUBJECT SOFTWARE IS PROVIDED "AS IS" WITHOUT ANY WARRANTY OF
* ANY KIND, EITHER EXPRESSED, IMPLIED, OR STATUTORY, INCLUDING, BUT NOT LIMITED
* TO, ANY WARRANTY THAT THE SUBJECT SOFTWARE WILL CONFORM TO SPECIFICATIONS,
* ANY IMPLIED WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE,
* OR FREEDOM FROM INFRINGEMENT, ANY WARRANTY THAT THE SUBJECT SOFTWARE WILL BE
* ERROR FREE, OR ANY WARRANTY THAT DOCUMENTATION, IF PROVIDED, WILL CONFORM TO
* THE SUBJECT SOFTWARE. THIS AGREEMENT DOES NOT, IN ANY MANNER, CONSTITUTE AN
* ENDORSEMENT BY GOVERNMENT AGENCY OR ANY PRIOR RECIPIENT OF ANY RESULTS,
* RESULTING DESIGNS, HARDWARE, SOFTWARE PRODUCTS OR ANY OTHER APPLICATIONS
* RESULTING FROM USE OF THE SUBJECT SOFTWARE. FURTHER, GOVERNMENT AGENCY
* DISCLAIMS ALL WARRANTIES AND LIABILITIES REGARDING THIRD-PARTY SOFTWARE,
* IF PRESENT IN THE ORIGINAL SOFTWARE, AND DISTRIBUTES IT "AS IS."
*
* Waiver and Indemnity: RECIPIENT AGREES TO WAIVE ANY AND ALL CLAIMS AGAINST
* THE UNITED STATES GOVERNMENT, ITS CONTRACTORS AND SUBCONTRACTORS, AS WELL
* AS ANY PRIOR RECIPIENT. IF RECIPIENT'S USE OF THE SUBJECT SOFTWARE RESULTS
* IN ANY LIABILITIES, DEMANDS, DAMAGES, EXPENSES OR LOSSES ARISING FROM SUCH
* USE, INCLUDING ANY DAMAGES FROM PRODUCTS BASED ON, OR RESULTING FROM,
* RECIPIENT'S USE OF THE SUBJECT SOFTWARE, RECIPIENT SHALL INDEMNIFY AND HOLD
* HARMLESS THE UNITED STATES GOVERNMENT, ITS CONTRACTORS AND SUBCONTRACTORS,
* AS WELL AS ANY PRIOR RECIPIENT, TO THE EXTENT PERMITTED BY LAW.
* RECIPIENT'S SOLE REMEDY FOR ANY SUCH MATTER SHALL BE THE IMMEDIATE,
* UNILATERAL TERMINATION OF THIS AGREEMENT.
*
******************************************************************************/
#define BOOST_TEST_MODULE test_muzq
#define BOOST_TEST_DYN_LINK
#include <boost/mpl/list.hpp>
#include <boost/test/unit_test.hpp>
#include <ikos/core/domain/numeric/dbm.hpp>
#include <ikos/core/domain/numeric/interval.hpp>
#include <ikos/core/example/muzq.hpp>
#include <ikos/core/example/variable_factory.hpp>
using namespace ikos::core;
using VariableFactory = example::VariableFactory;
using Variable = example::VariableFactory::VariableRef;
using ZVarExpr = VariableExpression< ZNumber, Variable >;
using QVarExpr = VariableExpression< QNumber, Variable >;
using Statement = muzq::Statement< Variable >;
using ZLinearExpression = LinearExpression< ZNumber, Variable >;
using ZLinearAssignment = muzq::ZLinearAssignment< Variable >;
using QLinearAssignment = muzq::QLinearAssignment< Variable >;
using ZBinaryOperation = muzq::ZBinaryOperation< Variable >;
using QBinaryOperation = muzq::QBinaryOperation< Variable >;
using ZLinearAssertion = muzq::ZLinearAssertion< Variable >;
using QLinearAssertion = muzq::QLinearAssertion< Variable >;
using BinaryOperator = numeric::BinaryOperator;
using CheckPoint = muzq::CheckPoint< Variable >;
using BasicBlock = muzq::BasicBlock< Variable >;
using ControlFlowGraph = muzq::ControlFlowGraph< Variable >;
using ZInterval = numeric::Interval< ZNumber >;
using ZIntervalDomain = numeric::IntervalDomain< ZNumber, Variable >;
using QIntervalDomain = numeric::IntervalDomain< QNumber, Variable >;
using ZDBM = numeric::DBM< ZNumber, Variable >;
BOOST_AUTO_TEST_CASE(test1) {
ControlFlowGraph cfg("entry");
BasicBlock* entry = cfg.get("entry");
BasicBlock* bb1 = cfg.get("bb1");
BasicBlock* bb1_t = cfg.get("bb1_t");
BasicBlock* bb1_f = cfg.get("bb1_f");
BasicBlock* bb2 = cfg.get("bb2");
BasicBlock* ret = cfg.get("ret");
VariableFactory vfac;
Variable n1(vfac.get("n1"));
Variable i(vfac.get("i"));
entry->add_successor(bb1);
bb1->add_successor(bb1_t);
bb1->add_successor(bb1_f);
bb1_t->add_successor(bb2);
bb2->add_successor(bb1);
bb1_f->add_successor(ret);
entry->add(std::make_unique< ZLinearAssignment >(n1, ZLinearExpression(1)));
entry->add(std::make_unique< ZLinearAssignment >(i, ZLinearExpression(0)));
bb1_t->add(std::make_unique< ZLinearAssertion >(ZVarExpr(i) <= 9));
bb1_f->add(std::make_unique< ZLinearAssertion >(ZVarExpr(i) >= 10));
bb2->add(std::make_unique< CheckPoint >("loop.in"));
bb2->add(
std::make_unique< ZLinearAssignment >(i, ZVarExpr(i) + ZVarExpr(n1)));
ret->add(std::make_unique< CheckPoint >("loop.end"));
// cfg.dump(std::cout);
muzq::FixpointIterator< Variable, ZIntervalDomain, QIntervalDomain > fixpoint(
cfg);
fixpoint.run({ZIntervalDomain::top(), QIntervalDomain::top()});
// fixpoint.dump(std::cout);
ZIntervalDomain loop_in = fixpoint.checkpoint("loop.in").first();
BOOST_CHECK(loop_in.to_interval(i) == ZInterval(ZBound(0), ZBound(9)));
BOOST_CHECK(loop_in.to_interval(n1) == ZInterval(1));
ZIntervalDomain loop_end = fixpoint.checkpoint("loop.end").first();
BOOST_CHECK(loop_end.to_interval(i) == ZInterval(10));
BOOST_CHECK(loop_end.to_interval(n1) == ZInterval(1));
}
BOOST_AUTO_TEST_CASE(test2) {
ControlFlowGraph cfg("entry");
BasicBlock* entry = cfg.get("entry");
BasicBlock* bb1 = cfg.get("bb1");
BasicBlock* bb1_t = cfg.get("bb1_t");
BasicBlock* bb1_f = cfg.get("bb1_f");
BasicBlock* bb2 = cfg.get("bb2");
BasicBlock* ret = cfg.get("ret");
VariableFactory vfac;
Variable n1(vfac.get("n1"));
Variable i(vfac.get("i"));
Variable tmp1(vfac.get("tmp1"));
Variable tmp2(vfac.get("tmp2"));
Variable tmp3(vfac.get("tmp3"));
entry->add_successor(bb1);
bb1->add_successor(bb1_t);
bb1->add_successor(bb1_f);
bb1_t->add_successor(bb2);
bb2->add_successor(bb1);
bb1_f->add_successor(ret);
entry->add(std::make_unique< ZLinearAssignment >(n1, ZLinearExpression(1)));
entry->add(std::make_unique< ZLinearAssignment >(i, ZLinearExpression(0)));
bb1_t->add(std::make_unique< ZLinearAssertion >(ZVarExpr(i) <= 9));
bb1_f->add(std::make_unique< ZLinearAssertion >(ZVarExpr(i) >= 10));
bb2->add(std::make_unique< CheckPoint >("loop.in"));
bb2->add(std::make_unique< ZLinearAssignment >(tmp1, ZLinearExpression(i)));
bb2->add(std::make_unique< ZBinaryOperation >(tmp2,
BinaryOperator::Add,
tmp1,
n1));
bb2->add(std::make_unique< ZLinearAssignment >(i, ZLinearExpression(tmp2)));
ret->add(
std::make_unique< ZBinaryOperation >(tmp3, BinaryOperator::Sub, i, n1));
ret->add(std::make_unique< CheckPoint >("loop.end"));
// cfg.dump(std::cout);
muzq::FixpointIterator< Variable, ZIntervalDomain, QIntervalDomain > fixpoint(
cfg);
fixpoint.run({ZIntervalDomain::top(), QIntervalDomain::top()});
// fixpoint.dump(std::cout);
ZIntervalDomain loop_in = fixpoint.checkpoint("loop.in").first();
BOOST_CHECK(loop_in.to_interval(i) == ZInterval(ZBound(0), ZBound(9)));
BOOST_CHECK(loop_in.to_interval(n1) == ZInterval(1));
ZIntervalDomain loop_end = fixpoint.checkpoint("loop.end").first();
BOOST_CHECK(loop_end.to_interval(i) == ZInterval(10));
BOOST_CHECK(loop_end.to_interval(n1) == ZInterval(1));
BOOST_CHECK(loop_end.to_interval(tmp3) == ZInterval(9));
}
BOOST_AUTO_TEST_CASE(test3) {
ControlFlowGraph cfg("loop1_entry");
BasicBlock* loop1_entry = cfg.get("loop1_entry");
BasicBlock* loop1_bb1 = cfg.get("loop1_bb1");
BasicBlock* loop1_bb1_t = cfg.get("loop1_bb1_t");
BasicBlock* loop1_bb1_f = cfg.get("loop1_bb1_f");
BasicBlock* loop1_bb2 = cfg.get("loop1_bb2");
BasicBlock* loop2_entry = cfg.get("loop2_entry");
BasicBlock* loop2_bb1 = cfg.get("loop2_bb1");
BasicBlock* loop2_bb1_t = cfg.get("loop2_bb1_t");
BasicBlock* loop2_bb1_f = cfg.get("loop2_bb1_f");
BasicBlock* loop2_bb2 = cfg.get("loop2_bb2");
BasicBlock* ret = cfg.get("ret");
loop1_entry->add_successor(loop1_bb1);
loop1_bb1->add_successor(loop1_bb1_t);
loop1_bb1->add_successor(loop1_bb1_f);
loop1_bb1_t->add_successor(loop1_bb2);
loop1_bb2->add_successor(loop1_bb1);
loop1_bb1_f->add_successor(loop2_entry);
loop2_entry->add_successor(loop2_bb1);
loop2_bb1->add_successor(loop2_bb1_t);
loop2_bb1->add_successor(loop2_bb1_f);
loop2_bb1_t->add_successor(loop2_bb2);
loop2_bb2->add_successor(loop2_bb1);
loop2_bb1_f->add_successor(ret);
VariableFactory vfac;
Variable n1(vfac.get("n1"));
Variable i(vfac.get("i"));
Variable j(vfac.get("j"));
Variable s(vfac.get("s"));
loop1_entry->add(
std::make_unique< ZLinearAssignment >(s, ZLinearExpression(0)));
loop1_entry->add(
std::make_unique< ZLinearAssignment >(n1, ZLinearExpression(1)));
loop1_entry->add(
std::make_unique< ZLinearAssignment >(i, ZLinearExpression(0)));
loop1_bb1_t->add(std::make_unique< ZLinearAssertion >(ZVarExpr(i) <= 9));
loop1_bb1_f->add(std::make_unique< ZLinearAssertion >(ZVarExpr(i) >= 10));
loop1_bb2->add(std::make_unique< CheckPoint >("loop1.in"));
loop1_bb2->add(
std::make_unique< ZBinaryOperation >(i, BinaryOperator::Add, i, n1));
loop1_bb2->add(
std::make_unique< ZBinaryOperation >(s, BinaryOperator::Add, s, n1));
loop2_entry->add(
std::make_unique< ZLinearAssignment >(j, ZLinearExpression(0)));
loop2_bb1_t->add(std::make_unique< ZLinearAssertion >(ZVarExpr(j) <= 9));
loop2_bb1_f->add(std::make_unique< ZLinearAssertion >(ZVarExpr(j) >= 10));
loop2_bb2->add(std::make_unique< CheckPoint >("loop2.in"));
loop2_bb2->add(
std::make_unique< ZBinaryOperation >(j, BinaryOperator::Add, j, n1));
loop2_bb2->add(
std::make_unique< ZBinaryOperation >(s, BinaryOperator::Add, s, n1));
ret->add(std::make_unique< CheckPoint >("end"));
// cfg.dump(std::cout);
muzq::FixpointIterator< Variable, ZIntervalDomain, QIntervalDomain > fixpoint(
cfg);
fixpoint.run({ZIntervalDomain::top(), QIntervalDomain::top()});
// fixpoint.dump(std::cout);
ZIntervalDomain loop1_in = fixpoint.checkpoint("loop1.in").first();
BOOST_CHECK(loop1_in.to_interval(i) == ZInterval(ZBound(0), ZBound(9)));
BOOST_CHECK(loop1_in.to_interval(j) == ZInterval::top());
BOOST_CHECK(loop1_in.to_interval(s) ==
ZInterval(ZBound(0), ZBound::plus_infinity()));
ZIntervalDomain loop2_in = fixpoint.checkpoint("loop2.in").first();
BOOST_CHECK(loop2_in.to_interval(i) == ZInterval(10));
BOOST_CHECK(loop2_in.to_interval(j) == ZInterval(ZBound(0), ZBound(9)));
BOOST_CHECK(loop2_in.to_interval(s) ==
ZInterval(ZBound(0), ZBound::plus_infinity()));
ZIntervalDomain end = fixpoint.checkpoint("end").first();
BOOST_CHECK(end.to_interval(i) == ZInterval(10));
BOOST_CHECK(end.to_interval(j) == ZInterval(10));
BOOST_CHECK(end.to_interval(s) ==
ZInterval(ZBound(0), ZBound::plus_infinity()));
}
BOOST_AUTO_TEST_CASE(test4) {
ControlFlowGraph cfg("entry");
BasicBlock* entry = cfg.get("entry");
BasicBlock* bb1 = cfg.get("bb1");
BasicBlock* bb1_t = cfg.get("bb1_t");
BasicBlock* bb1_f = cfg.get("bb1_f");
BasicBlock* bb2 = cfg.get("bb2");
BasicBlock* ret = cfg.get("ret");
VariableFactory vfac;
Variable n1(vfac.get("n1"));
Variable i(vfac.get("i"));
Variable n(vfac.get("n"));
entry->add_successor(bb1);
bb1->add_successor(bb1_t);
bb1->add_successor(bb1_f);
bb1_t->add_successor(bb2);
bb2->add_successor(bb1);
bb1_f->add_successor(ret);
entry->add(std::make_unique< ZLinearAssertion >(ZVarExpr(n) >= 1));
entry->add(std::make_unique< ZLinearAssignment >(n1, ZLinearExpression(1)));
entry->add(std::make_unique< ZLinearAssignment >(i, ZLinearExpression(0)));
bb1_t->add(
std::make_unique< ZLinearAssertion >(ZVarExpr(i) <= ZVarExpr(n) - 1));
bb1_f->add(std::make_unique< ZLinearAssertion >(ZVarExpr(i) >= ZVarExpr(n)));
bb2->add(std::make_unique< CheckPoint >("loop.in"));
bb2->add(std::make_unique< ZBinaryOperation >(i, BinaryOperator::Add, i, n1));
ret->add(std::make_unique< CheckPoint >("loop.end"));
// cfg.dump(std::cout);
muzq::FixpointIterator< Variable, ZDBM, QIntervalDomain > fixpoint(cfg);
fixpoint.run({ZDBM::top(), QIntervalDomain::top()});
// fixpoint.dump(std::cout);
ZDBM loop_in = fixpoint.checkpoint("loop.in").first();
BOOST_CHECK(loop_in.to_interval(i) ==
ZInterval(ZBound(0), ZBound::plus_infinity()));
BOOST_CHECK(loop_in.to_interval(n) ==
ZInterval(ZBound(1), ZBound::plus_infinity()));
loop_in.add(ZVarExpr(i) >= ZVarExpr(n));
BOOST_CHECK(loop_in.is_bottom());
ZDBM loop_end = fixpoint.checkpoint("loop.end").first();
BOOST_CHECK(loop_end.to_interval(i) ==
ZInterval(ZBound(1), ZBound::plus_infinity()));
BOOST_CHECK(loop_end.to_interval(n) ==
ZInterval(ZBound(1), ZBound::plus_infinity()));
loop_end.add(ZVarExpr(i) <= ZVarExpr(n) - 1);
BOOST_CHECK(loop_end.is_bottom());
}
BOOST_AUTO_TEST_CASE(test5) {
// This is the program init_rand from Gange et.al paper.
ControlFlowGraph cfg("entry");
BasicBlock* entry = cfg.get("entry");
BasicBlock* bb1 = cfg.get("bb1");
BasicBlock* bb1_t = cfg.get("bb1_t");
BasicBlock* bb1_f1 = cfg.get("bb1_f1");
BasicBlock* bb1_f2 = cfg.get("bb1_f2");
BasicBlock* bb1_f = cfg.get("bb1_f");
BasicBlock* bb2_a = cfg.get("bb2_a");
BasicBlock* bb2_b = cfg.get("bb2_b");
BasicBlock* ret = cfg.get("ret");
VariableFactory vfac;
Variable n1(vfac.get("n1"));
Variable i1(vfac.get("i1"));
Variable i2(vfac.get("i2"));
Variable n(vfac.get("n"));
entry->add_successor(bb1);
bb1->add_successor(bb1_t);
bb1->add_successor(bb1_f1);
bb1->add_successor(bb1_f2);
bb1_f1->add_successor(bb1_f);
bb1_f2->add_successor(bb1_f);
bb1_t->add_successor(bb2_a);
bb1_t->add_successor(bb2_b);
bb2_a->add_successor(bb1);
bb2_b->add_successor(bb1);
bb1_f->add_successor(ret);
entry->add(std::make_unique< ZLinearAssertion >(ZVarExpr(n) >= 1));
entry->add(std::make_unique< ZLinearAssignment >(n1, ZLinearExpression(1)));
entry->add(std::make_unique< ZLinearAssignment >(i1, ZLinearExpression(0)));
entry->add(std::make_unique< ZLinearAssignment >(i2, ZLinearExpression(0)));
// while (i1 < n && i2 < n){
bb1_t->add(
std::make_unique< ZLinearAssertion >(ZVarExpr(i1) <= ZVarExpr(n) - 1));
bb1_t->add(
std::make_unique< ZLinearAssertion >(ZVarExpr(i2) <= ZVarExpr(n) - 1));
bb1_t->add(std::make_unique< CheckPoint >("loop.in"));
// if (*)
bb2_a->add(
std::make_unique< ZBinaryOperation >(i1, BinaryOperator::Add, i1, n1));
// else
bb2_b->add(
std::make_unique< ZBinaryOperation >(i2, BinaryOperator::Add, i2, n1));
// } end while
bb1_f1->add(
std::make_unique< ZLinearAssertion >(ZVarExpr(i1) >= ZVarExpr(n)));
bb1_f2->add(
std::make_unique< ZLinearAssertion >(ZVarExpr(i2) >= ZVarExpr(n)));
ret->add(std::make_unique< CheckPoint >("loop.end"));
// cfg.dump(std::cout);
muzq::FixpointIterator< Variable, ZDBM, QIntervalDomain > fixpoint(cfg);
fixpoint.run({ZDBM::top(), QIntervalDomain::top()});
// fixpoint.dump(std::cout);
ZDBM loop_in_i1 = fixpoint.checkpoint("loop.in").first();
loop_in_i1.add(ZVarExpr(i1) >= ZVarExpr(n));
BOOST_CHECK(loop_in_i1.is_bottom());
ZDBM loop_in_i2 = fixpoint.checkpoint("loop.in").first();
loop_in_i2.add(ZVarExpr(i2) >= ZVarExpr(n));
BOOST_CHECK(loop_in_i2.is_bottom());
}
BOOST_AUTO_TEST_CASE(test6) {
ControlFlowGraph cfg("entry");
BasicBlock* entry = cfg.get("entry");
BasicBlock* bb7 = cfg.get("bb7");
BasicBlock* pre_bb7_bb = cfg.get("pre_bb7_bb");
BasicBlock* pre_bb7_bb8 = cfg.get("pre_bb7_bb8");
BasicBlock* bb = cfg.get("bb");
BasicBlock* bb8 = cfg.get("bb8");
BasicBlock* bb5 = cfg.get("bb5");
BasicBlock* pre_bb5_bb6 = cfg.get("pre_bb5_bb6");
BasicBlock* pre_bb5_bb1 = cfg.get("pre_bb5_bb1");
BasicBlock* bb6 = cfg.get("bb6");
BasicBlock* bb1 = cfg.get("bb1");
BasicBlock* bb3 = cfg.get("bb3");
BasicBlock* pre_bb3_bb4 = cfg.get("pre_bb3_bb4");
BasicBlock* pre_bb3_bb2 = cfg.get("pre_bb3_bb2");
BasicBlock* bb2 = cfg.get("bb2");
BasicBlock* bb4 = cfg.get("bb4");
BasicBlock* ret = cfg.get("ret");
entry->add_successor(bb7);
bb7->add_successor(pre_bb7_bb);
bb7->add_successor(pre_bb7_bb8);
pre_bb7_bb->add_successor(bb);
bb->add_successor(bb5);
pre_bb7_bb8->add_successor(bb8);
bb8->add_successor(ret);
bb5->add_successor(pre_bb5_bb6);
bb5->add_successor(pre_bb5_bb1);
pre_bb5_bb6->add_successor(bb6);
bb6->add_successor(bb7);
pre_bb5_bb1->add_successor(bb1);
bb1->add_successor(bb3);
bb3->add_successor(pre_bb3_bb4);
bb3->add_successor(pre_bb3_bb2);
pre_bb3_bb4->add_successor(bb4);
pre_bb3_bb2->add_successor(bb2);
bb4->add_successor(bb5);
bb2->add_successor(bb3);
VariableFactory vfac;
Variable cst_1(vfac.get("#1"));
Variable cst_40000(vfac.get("#40000"));
Variable cst_4(vfac.get("#4"));
Variable cst_400(vfac.get("#400"));
Variable i(vfac.get("i"));
Variable j(vfac.get("j"));
Variable k(vfac.get("k"));
Variable x(vfac.get("x"));
Variable tmp0(vfac.get("tmp0"));
Variable tmp1(vfac.get("tmp1"));
Variable tmp2(vfac.get("tmp2"));
Variable tmp3(vfac.get("tmp3"));
Variable temp1(vfac.get("temp1"));
Variable temp2(vfac.get("temp2"));
Variable temp3(vfac.get("temp3"));
Variable temp4(vfac.get("temp4"));
Variable temp5(vfac.get("temp5"));
Variable t0(vfac.get("T0"));
Variable t1(vfac.get("T1"));
entry->add(std::make_unique< ZLinearAssignment >(cst_40000,
ZLinearExpression(40000)));
entry->add(
std::make_unique< ZLinearAssignment >(cst_400, ZLinearExpression(400)));
entry->add(
std::make_unique< ZLinearAssignment >(cst_1, ZLinearExpression(1)));
entry->add(
std::make_unique< ZLinearAssignment >(cst_4, ZLinearExpression(4)));
entry->add(std::make_unique< ZLinearAssignment >(tmp0, ZLinearExpression(5)));
entry->add(
std::make_unique< ZLinearAssignment >(temp1, ZLinearExpression(tmp0)));
entry->add(std::make_unique< ZLinearAssignment >(i, ZLinearExpression(0)));
pre_bb7_bb->add(std::make_unique< ZLinearAssertion >(ZVarExpr(i) <= 99));
bb->add(
std::make_unique< ZLinearAssignment >(tmp1, ZLinearExpression(temp1)));
bb->add(
std::make_unique< ZLinearAssignment >(temp2, ZLinearExpression(tmp1)));
bb->add(std::make_unique< ZLinearAssignment >(temp3, ZLinearExpression(0)));
bb->add(std::make_unique< ZLinearAssignment >(j, ZLinearExpression(0)));
pre_bb5_bb6->add(std::make_unique< ZLinearAssertion >(ZVarExpr(j) >= 100));
bb6->add(std::make_unique< ZBinaryOperation >(temp1,
BinaryOperator::Add,
temp1,
cst_40000));
bb6->add(
std::make_unique< ZBinaryOperation >(i, BinaryOperator::Add, i, cst_1));
pre_bb5_bb1->add(std::make_unique< ZLinearAssertion >(ZVarExpr(j) <= 99));
bb1->add(
std::make_unique< ZLinearAssignment >(tmp2, ZLinearExpression(temp2)));
bb1->add(
std::make_unique< ZLinearAssignment >(tmp3, ZLinearExpression(temp3)));
bb1->add(std::make_unique< ZLinearAssignment >(temp4, ZLinearExpression(0)));
bb1->add(
std::make_unique< ZLinearAssignment >(temp5, ZLinearExpression(tmp2)));
bb1->add(std::make_unique< ZLinearAssignment >(k, ZLinearExpression(0)));
pre_bb3_bb2->add(std::make_unique< ZLinearAssertion >(ZVarExpr(k) <= 9999));
bb2->add(std::make_unique< ZLinearAssignment >(t0, ZLinearExpression(temp4)));
bb2->add(std::make_unique< ZLinearAssignment >(t1, ZLinearExpression(temp5)));
bb2->add(
std::make_unique< ZBinaryOperation >(x, BinaryOperator::Add, t0, t1));
bb2->add(std::make_unique< ZBinaryOperation >(temp4,
BinaryOperator::Add,
temp4,
tmp3));
bb2->add(std::make_unique< ZBinaryOperation >(temp5,
BinaryOperator::Add,
temp5,
cst_4));
bb2->add(
std::make_unique< ZBinaryOperation >(k, BinaryOperator::Add, k, cst_1));
pre_bb3_bb4->add(std::make_unique< ZLinearAssertion >(ZVarExpr(k) >= 1000));
bb4->add(std::make_unique< ZBinaryOperation >(temp2,
BinaryOperator::Add,
temp2,
cst_400));
bb4->add(std::make_unique< ZBinaryOperation >(temp3,
BinaryOperator::Add,
temp3,
i));
bb4->add(
std::make_unique< ZBinaryOperation >(j, BinaryOperator::Add, j, cst_1));
pre_bb7_bb8->add(std::make_unique< ZLinearAssertion >(ZVarExpr(i) >= 100));
ret->add(std::make_unique< CheckPoint >("end"));
// cfg.dump(std::cout);
muzq::FixpointIterator< Variable, ZIntervalDomain, QIntervalDomain > fixpoint(
cfg);
fixpoint.run({ZIntervalDomain::top(), QIntervalDomain::top()});
// fixpoint.dump(std::cout);
ZIntervalDomain end = fixpoint.checkpoint("end").first();
BOOST_CHECK(end.to_interval(tmp0) == ZInterval(5));
BOOST_CHECK(end.to_interval(i) == ZInterval(100));
BOOST_CHECK(end.to_interval(temp1) ==
ZInterval(ZBound(5), ZBound::plus_infinity()));
}
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