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geometryfwd.h
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template<typename T>
class Real
{
public:
Real(T value = T()) : value(value)
{}
// operator T() const
// { return value; }
Real operator -() const
{ return -value; }
Real operator +(Real r) const
{ return value + r.value; }
Real operator -(Real r) const
{ return value - r.value; }
Real operator *(Real r) const
{ return value * r.value; }
// Real operator /(Real r) const
// { return value / r.value; }
Real &operator +=(Real r)
{ return *this = *this + r; }
Real &operator -=(Real r)
{ return *this = *this - r; }
Real &operator *=(Real r)
{ return *this = *this * r; }
// Real &operator /=(Real r)
// { return *this = *this / r; }
bool operator <(Real r) const
{ return value < r.value; }
bool operator >(Real r) const
{ return r < *this; }
bool operator <=(Real r) const
{ return !(r < *this); }
bool operator >=(Real r) const
{ return !(*this < r); }
bool operator ==(Real r) const
{ return !(*this < r) && !(r < *this); }
bool operator !=(Real r) const
{ return *this < r || r < *this; }
protected:
T value;
};
template<>
class Real<float>
{
static constexpr const float eps = 1e-5F;
public:
Real(float value = float()) : value(value)
{}
// operator float() const
// { return value; }
Real operator -() const
{ return -value; }
Real operator +(Real r) const
{ return value + r.value; }
Real operator -(Real r) const
{ return value - r.value; }
Real operator *(Real r) const
{ return value * r.value; }
Real operator /(Real r) const
{ return value / r.value; }
Real &operator +=(Real r)
{ return *this = *this + r; }
Real &operator -=(Real r)
{ return *this = *this - r; }
Real &operator *=(Real r)
{ return *this = *this * r; }
Real &operator /=(Real r)
{ return *this = *this / r; }
bool operator <(Real r) const
{ return value + eps < r.value; }
bool operator >(Real r) const
{ return r < *this; }
bool operator <=(Real r) const
{ return !(r < *this); }
bool operator >=(Real r) const
{ return !(*this < r); }
bool operator ==(Real r) const
{ return !(*this < r) && !(r < *this); }
bool operator !=(Real r) const
{ return *this < r || r < *this; }
protected:
float value;
};
template<>
class Real<double>
{
static constexpr const double eps = double(1e-10L);
public:
Real(double value = double()) : value(value)
{}
// operator double() const
// { return value; }
Real operator -() const
{ return -value; }
Real operator +(Real r) const
{ return value + r.value; }
Real operator -(Real r) const
{ return value - r.value; }
Real operator *(Real r) const
{ return value * r.value; }
Real operator /(Real r) const
{ return value / r.value; }
Real &operator +=(Real r)
{ return *this = *this + r; }
Real &operator -=(Real r)
{ return *this = *this - r; }
Real &operator *=(Real r)
{ return *this = *this * r; }
Real &operator /=(Real r)
{ return *this = *this / r; }
bool operator <(Real r) const
{ return value + eps < r.value; }
bool operator >(Real r) const
{ return r < *this; }
bool operator <=(Real r) const
{ return !(r < *this); }
bool operator >=(Real r) const
{ return !(*this < r); }
bool operator ==(Real r) const
{ return !(*this < r) && !(r < *this); }
bool operator !=(Real r) const
{ return *this < r || r < *this; }
protected:
double value;
};
template<>
class Real<long double>
{
static constexpr const long double eps = 1e-15L;
public:
Real(long double value = double()) : value(value)
{}
// operator long double() const
// { return value; }
Real operator -() const
{ return -value; }
Real operator +(Real r) const
{ return value + r.value; }
Real operator -(Real r) const
{ return value - r.value; }
Real operator *(Real r) const
{ return value * r.value; }
Real operator /(Real r) const
{ return value / r.value; }
Real &operator +=(Real r)
{ return *this = *this + r; }
Real &operator -=(Real r)
{ return *this = *this - r; }
Real &operator *=(Real r)
{ return *this = *this * r; }
Real &operator /=(Real r)
{ return *this = *this / r; }
bool operator <(Real r) const
{ return value + eps < r.value; }
bool operator >(Real r) const
{ return r < *this; }
bool operator <=(Real r) const
{ return !(r < *this); }
bool operator >=(Real r) const
{ return !(*this < r); }
bool operator ==(Real r) const
{ return !(*this < r) && !(r < *this); }
bool operator !=(Real r) const
{ return *this < r || r < *this; }
protected:
long double value;
};