test(ibex): add newton_01.cpp

Author: soonhokong

src/tests/ibex/newton_01.cpp

@@ -0,0 +1,46 @@
+/*********************************************************************
+Author: Soonho Kong <[email protected]>
+
+dReal -- Copyright (C) 2013 - 2016, the dReal Team
+
+dReal is free software: you can redistribute it and/or modify
+it under the terms of the GNU General Public License as published by
+the Free Software Foundation, either version 3 of the License, or
+(at your option) any later version.
+
+dReal 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 General Public License for more details.
+
+You should have received a copy of the GNU General Public License
+along with dReal. If not, see <http://www.gnu.org/licenses/>.
+*********************************************************************/
+
+// Related issue: https://github.com/ibex-team/ibex-lib/issues/145
+
+#include <algorithm>
+#include <iostream>
+#include "ibex/ibex.h"
+
+using ibex::Variable;
+using ibex::Function;
+using ibex::NumConstraint;
+using ibex::CtcFwdBwd;
+using ibex::IntervalVector;
+using ibex::Interval;
+using ibex::ExprSymbol;
+using std::cout;
+using std::endl;
+
+int main() {
+    Variable x1,x2;
+    Function f(x1,x2,ibex::Return(x1 - 1, ibex::asin(x2) - x1));
+    double init_box[][2]={{1, 1}, {1.570796326794893, 1.570796326794901}};
+    IntervalVector box(2,init_box);
+    ibex::CtcNewton newton(f);
+    cout << "Before: " << box << endl;
+    newton.contract(box);
+    cout << "After: " << box << endl;
+    return 0;
+}