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#include "cvc4_private.h"
#include "util/integer.h"
#include "util/rational.h"
#include <ostream>
#ifndef __CVC4__THEORY__ARITH__DELTA_RATIONAL_H
#define __CVC4__THEORY__ARITH__DELTA_RATIONAL_H
namespace CVC4 {
/**
* A DeltaRational is a pair of rationals (c,k) that represent the number
* c + kd
* where d is an implicit system wide symbolic infinitesimal.
*/
class DeltaRational {
private:
CVC4::Rational c;
CVC4::Rational k;
public:
DeltaRational() : c(0,1), k(0,1) {}
DeltaRational(const CVC4::Rational& base) : c(base), k(0,1) {}
DeltaRational(const CVC4::Rational& base, const CVC4::Rational& coeff) :
c(base), k(coeff) {}
const CVC4::Rational& getInfintestimalPart() const {
return k;
}
const CVC4::Rational& getNoninfintestimalPart() const {
return c;
}
DeltaRational operator+(const DeltaRational& other) const{
CVC4::Rational tmpC = c+other.c;
CVC4::Rational tmpK = k+other.k;
return DeltaRational(tmpC, tmpK);
}
DeltaRational operator*(CVC4::Rational& a) const{
CVC4::Rational tmpC = a*c;
CVC4::Rational tmpK = a*k;
return DeltaRational(tmpC, tmpK);
}
DeltaRational operator-(const DeltaRational& a) const{
CVC4::Rational negOne(CVC4::Integer(-1));
return *(this) + (a * negOne);
}
bool operator==(DeltaRational& other){
return (k == other.k) && (c == other.c);
}
bool operator<=(DeltaRational& other){
int cmp = c.cmp(other.c);
return (cmp < 0) || ((cmp==0)&&(k <= other.k));
}
bool operator<(DeltaRational& other){
return (other > *this);
}
bool operator>=(DeltaRational& other){
return (other <= *this);
}
bool operator>(DeltaRational& other){
return !(*this <= other);
}
DeltaRational& operator=(const DeltaRational& other){
c = other.c;
k = other.k;
return *(this);
}
DeltaRational& operator*=(CVC4::Rational& a){
c = c * a;
k = k * a;
return *(this);
}
DeltaRational& operator+=(DeltaRational& other){
c =c + other.c;
k =k + other.k;
return *(this);
}
};
std::ostream& operator<<(std::ostream& os, const DeltaRational& n);
}/* CVC4 namespace */
#endif /* __CVC4__THEORY__ARITH__DELTA_RATIONAL_H */
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