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/********************* */
/*! \file delta_rational.h
** \verbatim
** Original author: taking
** Major contributors: mdeters
** Minor contributors (to current version): dejan
** This file is part of the CVC4 prototype.
** Copyright (c) 2009-2012 New York University and The University of Iowa
** See the file COPYING in the top-level source directory for licensing
** information.\endverbatim
**
** \brief [[ Add one-line brief description here ]]
**
** [[ Add lengthier description here ]]
** \todo document this file
**/
#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& getInfinitesimalPart() const {
return k;
}
const CVC4::Rational& getNoninfinitesimalPart() const {
return c;
}
int sgn() const {
int s = getNoninfinitesimalPart().sgn();
if(s == 0){
return infinitesimalSgn();
}else{
return s;
}
}
int infinitesimalSgn() const {
return getInfinitesimalPart().sgn();
}
int cmp(const DeltaRational& other) const{
int cmp = c.cmp(other.c);
if(cmp == 0){
return k.cmp(other.k);
}else{
return cmp;
}
}
DeltaRational operator+(const DeltaRational& other) const{
CVC4::Rational tmpC = c+other.c;
CVC4::Rational tmpK = k+other.k;
return DeltaRational(tmpC, tmpK);
}
DeltaRational operator*(const 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);
}
DeltaRational operator-() const{
return DeltaRational(-c, -k);
}
DeltaRational operator/(const Rational& a) const{
CVC4::Rational tmpC = c/a;
CVC4::Rational tmpK = k/a;
return DeltaRational(tmpC, tmpK);
}
DeltaRational operator/(const Integer& a) const{
CVC4::Rational tmpC = c/a;
CVC4::Rational tmpK = k/a;
return DeltaRational(tmpC, tmpK);
}
bool operator==(const DeltaRational& other) const{
return (k == other.k) && (c == other.c);
}
bool operator<=(const DeltaRational& other) const{
int cmp = c.cmp(other.c);
return (cmp < 0) || ((cmp==0)&&(k <= other.k));
}
bool operator<(const DeltaRational& other) const{
return (other > *this);
}
bool operator>=(const DeltaRational& other) const{
return (other <= *this);
}
bool operator>(const DeltaRational& other) const{
return !(*this <= other);
}
DeltaRational& operator=(const DeltaRational& other){
c = other.c;
k = other.k;
return *(this);
}
DeltaRational& operator*=(const CVC4::Rational& a){
c *= a;
k *= a;
return *(this);
}
DeltaRational& operator+=(DeltaRational& other){
c += other.c;
k += other.k;
return *(this);
}
bool isIntegral() const {
if(getInfinitesimalPart().sgn() == 0){
return getNoninfinitesimalPart().isIntegral();
}else{
return false;
}
}
Integer floor() const {
if(getNoninfinitesimalPart().isIntegral()){
if(getInfinitesimalPart().sgn() >= 0){
return getNoninfinitesimalPart().getNumerator();
}else{
return getNoninfinitesimalPart().getNumerator() - Integer(1);
}
}else{
return getNoninfinitesimalPart().floor();
}
}
Integer ceiling() const {
if(getNoninfinitesimalPart().isIntegral()){
if(getInfinitesimalPart().sgn() <= 0){
return getNoninfinitesimalPart().getNumerator();
}else{
return getNoninfinitesimalPart().getNumerator() + Integer(1);
}
}else{
return getNoninfinitesimalPart().ceiling();
}
}
std::string toString() const;
Rational substituteDelta(const Rational& d) const{
return getNoninfinitesimalPart() + (d * getInfinitesimalPart());
}
};
std::ostream& operator<<(std::ostream& os, const DeltaRational& n);
}/* CVC4 namespace */
#endif /* __CVC4__THEORY__ARITH__DELTA_RATIONAL_H */
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