#include <iostream>
#include <vector>
#include <math.h>

#include "Operator.hpp"
#include "Expression.hpp"
#include "EquationSystem.hpp"
#include "MaxStrategy.hpp"

using namespace std;

/*template<typename T>
struct Complete {
  Complete(const T& value)
    : _value(value) { }
  private:
  bool _infinity;
  T _value;
};*/

typedef std::vector<Expression<float>*> Args;
typedef Expression<float> E;
typedef Constant<float> C;
typedef Minimum<float> Min;

std::vector< Expression<float>* > empty;
int main () {
  EquationSystem<float> sys;
  Variable<float>* x = sys.newVariable("x");

  Args incArgs;
  incArgs.push_back(new E(x, empty));

  Args minArgs;
  minArgs.push_back(new E(new Increment<float>, incArgs));
  minArgs.push_back(new E(new C(100), empty));

  Args maxArgs;
  maxArgs.push_back(new E(new C(0), empty));
  maxArgs.push_back(new E(new Min(), minArgs));

  sys[*x] = sys.newMaxExpression(maxArgs);
  // x = max(0, min(x+1, 100))

  cout << sys.minFixpoint()[*x] << endl;
  // -> 100, as expected

  return 0;
}