lsst::geom::Point< T, N > Class Template Reference

A coordinate class intended to represent absolute positions. More...

#include <CoordinateBase.h>

Inheritance diagram for lsst::geom::Point< T, N >:

Public Types
typedef Super::EigenVector	EigenVector
typedef T	Element

Public Member Functions
	Point (T val=static_cast< T >(0)) noexcept(Super::IS_ELEMENT_NOTHROW_COPYABLE)
	Construct a Point with all elements set to the same scalar value. More...
	Point (Point const &)=default
	Point (Point &&)=default
	~Point ()=default
Point &	operator= (Point const &)=default
Point &	operator= (Point &&)=default
template<typename U >
	Point (Point< U, N > const &other) noexcept(IS_NOTHROW_CONVERTIBLE< T, U >)
	Explicit converting constructor. More...
	Point (EigenVector const &vector) noexcept(Super::IS_ELEMENT_NOTHROW_COPYABLE)
	Construct a Point from an Eigen vector. More...
	Point (Extent< T, N > const &other) noexcept(Super::IS_ELEMENT_NOTHROW_COPYABLE)
	Explicit constructor from Extent. More...
void	swap (Point &other) noexcept
bool	operator== (Point< T, N > const &other) const noexcept
	Standard equality comparison. More...
bool	operator!= (Point< T, N > const &other) const noexcept
	Standard inequality comparison. More...
Extent< T, N >	asExtent () const noexcept(Super::IS_ELEMENT_NOTHROW_COPYABLE)
	Cast this object to an Extent of the same numeric type and dimensionality. More...
void	shift (Extent< T, N > const &offset) noexcept(Super::IS_ELEMENT_NOTHROW_COPYABLE)
	Shift the point by the given offset. More...
void	scale (double factor) noexcept(Super::IS_ELEMENT_NOTHROW_COPYABLE)
double	distanceSquared (PointBase< T, N > const &other) const noexcept(Super::IS_ELEMENT_NOTHROW_COPYABLE)
std::string	toString () const
T &	operator[] (int n)
T const &	operator[] (int n) const
T &	coeffRef (int n)
T const &	coeffRef (int n) const
EigenVector const &	asEigen () const noexcept(IS_ELEMENT_NOTHROW_COPYABLE)
	Return a fixed-size Eigen representation of the coordinate object. More...
Named vectorized comparison functions
Note that these return CoordinateExpr, not bool. Unlike most arithmetic and assignment operators, scalar interoperability is provided for comparisons; expressions like if (all(point.gt(0))) ... are both ubiquitous and easy to interpret.
CoordinateExpr< N >	eq (Point< T, N > const &other) const noexcept
CoordinateExpr< N >	eq (T scalar) const noexcept(Super::IS_ELEMENT_NOTHROW_COPYABLE)
CoordinateExpr< N >	ne (Point< T, N > const &other) const noexcept
CoordinateExpr< N >	ne (T scalar) const noexcept(Super::IS_ELEMENT_NOTHROW_COPYABLE)
CoordinateExpr< N >	lt (Point< T, N > const &other) const noexcept
CoordinateExpr< N >	lt (T scalar) const noexcept(Super::IS_ELEMENT_NOTHROW_COPYABLE)
CoordinateExpr< N >	le (Point< T, N > const &other) const noexcept
CoordinateExpr< N >	le (T scalar) const noexcept(Super::IS_ELEMENT_NOTHROW_COPYABLE)
CoordinateExpr< N >	gt (Point< T, N > const &other) const noexcept
CoordinateExpr< N >	gt (T scalar) const noexcept(Super::IS_ELEMENT_NOTHROW_COPYABLE)
CoordinateExpr< N >	ge (Point< T, N > const &other) const noexcept
CoordinateExpr< N >	ge (T scalar) const noexcept(Super::IS_ELEMENT_NOTHROW_COPYABLE)
Arithmetic operators
No scalar interoperability is provided for Point arithmetic operations.
Extent< T, N >	operator- (Point< T, N > const &other) const noexcept(Super::IS_ELEMENT_NOTHROW_COPYABLE)
Point< T, N >	operator- (Extent< T, N > const &other) const noexcept(Super::IS_ELEMENT_NOTHROW_COPYABLE)
Point< T, N >	operator+ (Extent< T, N > const &other) const noexcept(Super::IS_ELEMENT_NOTHROW_COPYABLE)
Point< T, N > &	operator+= (Extent< T, N > const &other) noexcept(Super::IS_ELEMENT_NOTHROW_ASSIGNABLE)
Point< T, N > &	operator-= (Extent< T, N > const &other) noexcept(Super::IS_ELEMENT_NOTHROW_ASSIGNABLE)

Static Public Attributes
static int const	dimensions
static bool constexpr	IS_ELEMENT_NOTHROW_COPYABLE
static bool constexpr	IS_ELEMENT_NOTHROW_ASSIGNABLE

Protected Member Functions
void	_swap (CoordinateBase &other) noexcept

Protected Attributes
EigenVector	_vector

Related Functions
(Note that these are not member functions.)
bool	allclose (CoordinateBase< Point< T, N >, T, N > const &a, CoordinateBase< Point< T, N >, T, N > const &b, T rtol=static_cast< T >(1E-5), T atol=static_cast< T >(1E-8)) noexcept(std::is_nothrow_copy_constructible< T >::value &&std::is_nothrow_copy_assignable< T >::value)
	Floating-point comparison with tolerance. More...

Detailed Description

template<typename T, int N>
class lsst::geom::Point< T, N >

A coordinate class intended to represent absolute positions.

See Operators on Point and Extent for mathematical operators on Point.

Definition at line 39 of file CoordinateBase.h.

Member Typedef Documentation

EigenVector

template<typename T, int N>

typedef Super::EigenVector lsst::geom::Point< T, N >::EigenVector

Definition at line 173 of file Point.h.

Element

typedef T lsst::geom::CoordinateBase< Point< T, N > , T, N >::Element

inherited

Definition at line 56 of file CoordinateBase.h.

Constructor & Destructor Documentation

Point() [1/6]

template<typename T, int N>

lsst::geom::Point< T, N >::Point ( T  val = static_cast<T>(0) )

inlineexplicitnoexcept

Construct a Point with all elements set to the same scalar value.

Definition at line 176 of file Point.h.

: Super(val) {}

Point() [2/6]

template<typename T, int N>

lsst::geom::Point< T, N >::Point ( Point< T, N > const &  )

default

Point() [3/6]

template<typename T, int N>

lsst::geom::Point< T, N >::Point ( Point< T, N > &&  )

default

~Point()

template<typename T, int N>

lsst::geom::Point< T, N >::~Point ( )

default

Point() [4/6]

template<typename T , int N>

template<typename U >

lsst::geom::Point< T, N >::Point ( Point< U, N > const &  other )

explicitnoexcept

Explicit converting constructor.

Converting from floating point to integer rounds to the nearest integer instead of truncating. This ensures that a floating-point pixel coordinate converts to the coordinate of the pixel it lies on (assuming the floating point origin is the center of the first pixel).

Definition at line 53 of file Point.cc.

                                                                                  : Super() {
    for (int n = 0; n < N; ++n) {
        this->_vector[n] = detail::PointSpecialized<T>::template convert<U>(other[n]);
    }
}

Point() [5/6]

template<typename T, int N>

lsst::geom::Point< T, N >::Point ( EigenVector const &  vector )

inlineexplicitnoexcept

Construct a Point from an Eigen vector.

Definition at line 196 of file Point.h.

: Super(vector) {}

Point() [6/6]

template<typename T, int N>

lsst::geom::Point< T, N >::Point ( Extent< T, N > const &  other )

inlineexplicitnoexcept

Explicit constructor from Extent.

Definition at line 199 of file Point.h.

            : Super(other.asEigen()) {}

Member Function Documentation

_swap()

void lsst::geom::CoordinateBase< Point< T, N > , T, N >::_swap ( CoordinateBase< Point< T, N >, T, N > &  other )

inlineprotectednoexceptinherited

Definition at line 108 of file CoordinateBase.h.

{ _vector.swap(other._vector); }

asEigen()

EigenVector const& lsst::geom::CoordinateBase< Point< T, N > , T, N >::asEigen ( ) const

inlinenoexceptinherited

Return a fixed-size Eigen representation of the coordinate object.

The fact that this returns by const reference rather than by value should not be considered part of the API; this is merely an optimization enabled by the implementation.

Definition at line 89 of file CoordinateBase.h.

{ return _vector; }

asExtent()

template<typename T, int N>

Extent<T, N> lsst::geom::PointBase< T, N >::asExtent ( ) const

inlinenoexceptinherited

Cast this object to an Extent of the same numeric type and dimensionality.

Definition at line 127 of file Point.h.

                                                                             {
        return Extent<T, N>(static_cast<Point<T, N> const &>(*this));
    }

coeffRef() [1/2]

T& lsst::geom::CoordinateBase< Point< T, N > , T, N >::coeffRef ( int  n )

inlineinherited

Definition at line 80 of file CoordinateBase.h.

{ return _vector.coeffRef(n); }

coeffRef() [2/2]

T const& lsst::geom::CoordinateBase< Point< T, N > , T, N >::coeffRef ( int  n ) const

inlineinherited

Definition at line 81 of file CoordinateBase.h.

{ return const_cast<EigenVector&>(_vector).coeffRef(n); }

distanceSquared()

template<typename T, int N>

double lsst::geom::PointBase< T, N >::distanceSquared ( PointBase< T, N > const &  other ) const

inlinenoexceptinherited

Definition at line 138 of file Point.h.

                                                                                                          {
        // the cast to double is lame but Eigen seems to require they be the same type
        return (this->asEigen() - other.asEigen()).squaredNorm();
    }

eq() [1/2]

template<typename T, int N>

CoordinateExpr< N > lsst::geom::PointBase< T, N >::eq ( Point< T, N > const &  other ) const

noexceptinherited

Definition at line 76 of file Point.cc.

                                                                             {
    CoordinateExpr<N> r;
    for (int n = 0; n < N; ++n) r[n] = this->_vector[n] == other[n];
    return r;
}

eq() [2/2]

template<typename T, int N>

CoordinateExpr<N> lsst::geom::PointBase< T, N >::eq ( T  scalar ) const

inlinenoexceptinherited

Definition at line 81 of file Point.h.

                                                                                    {
        return this->eq(Point<T, N>(scalar));
    }

ge() [1/2]

template<typename T, int N>

CoordinateExpr< N > lsst::geom::PointBase< T, N >::ge ( Point< T, N > const &  other ) const

noexceptinherited

Definition at line 111 of file Point.cc.

                                                                             {
    CoordinateExpr<N> r;
    for (int n = 0; n < N; ++n) r[n] = this->_vector[n] >= other[n];
    return r;
}

ge() [2/2]

template<typename T, int N>

CoordinateExpr<N> lsst::geom::PointBase< T, N >::ge ( T  scalar ) const

inlinenoexceptinherited

Definition at line 96 of file Point.h.

                                                                                    {
        return this->ge(Point<T, N>(scalar));
    }

gt() [1/2]

template<typename T, int N>

CoordinateExpr< N > lsst::geom::PointBase< T, N >::gt ( Point< T, N > const &  other ) const

noexceptinherited

Definition at line 104 of file Point.cc.

                                                                             {
    CoordinateExpr<N> r;
    for (int n = 0; n < N; ++n) r[n] = this->_vector[n] > other[n];
    return r;
}

gt() [2/2]

template<typename T, int N>

CoordinateExpr<N> lsst::geom::PointBase< T, N >::gt ( T  scalar ) const

inlinenoexceptinherited

Definition at line 93 of file Point.h.

                                                                                    {
        return this->gt(Point<T, N>(scalar));
    }

le() [1/2]

template<typename T, int N>

CoordinateExpr< N > lsst::geom::PointBase< T, N >::le ( Point< T, N > const &  other ) const

noexceptinherited

Definition at line 97 of file Point.cc.

                                                                             {
    CoordinateExpr<N> r;
    for (int n = 0; n < N; ++n) r[n] = this->_vector[n] <= other[n];
    return r;
}

le() [2/2]

template<typename T, int N>

CoordinateExpr<N> lsst::geom::PointBase< T, N >::le ( T  scalar ) const

inlinenoexceptinherited

Definition at line 90 of file Point.h.

                                                                                    {
        return this->le(Point<T, N>(scalar));
    }

lt() [1/2]

template<typename T, int N>

CoordinateExpr< N > lsst::geom::PointBase< T, N >::lt ( Point< T, N > const &  other ) const

noexceptinherited

Definition at line 90 of file Point.cc.

                                                                             {
    CoordinateExpr<N> r;
    for (int n = 0; n < N; ++n) r[n] = this->_vector[n] < other[n];
    return r;
}

lt() [2/2]

template<typename T, int N>

CoordinateExpr<N> lsst::geom::PointBase< T, N >::lt ( T  scalar ) const

inlinenoexceptinherited

Definition at line 87 of file Point.h.

                                                                                    {
        return this->lt(Point<T, N>(scalar));
    }

ne() [1/2]

template<typename T, int N>

CoordinateExpr< N > lsst::geom::PointBase< T, N >::ne ( Point< T, N > const &  other ) const

noexceptinherited

Definition at line 83 of file Point.cc.

                                                                             {
    CoordinateExpr<N> r;
    for (int n = 0; n < N; ++n) r[n] = this->_vector[n] != other[n];
    return r;
}

ne() [2/2]

template<typename T, int N>

CoordinateExpr<N> lsst::geom::PointBase< T, N >::ne ( T  scalar ) const

inlinenoexceptinherited

Definition at line 84 of file Point.h.

                                                                                    {
        return this->ne(Point<T, N>(scalar));
    }

operator!=()

template<typename T, int N>

bool lsst::geom::PointBase< T, N >::operator!= ( Point< T, N > const &  other ) const

inlinenoexceptinherited

Standard inequality comparison.

Returns true iff any(this->ne(other));

Definition at line 60 of file Point.h.

{ return any(this->ne(other)); }

operator+()

template<typename T, int N>

Point<T, N> lsst::geom::PointBase< T, N >::operator+ ( Extent< T, N > const &  other ) const

inlinenoexceptinherited

Definition at line 110 of file Point.h.

                                                                                                      {
        return Point<T, N>(this->_vector + other.asEigen());
    }

operator+=()

template<typename T, int N>

Point<T, N>& lsst::geom::PointBase< T, N >::operator+= ( Extent< T, N > const &  other )

inlinenoexceptinherited

Definition at line 116 of file Point.h.

                                                                                                    {
        this->_vector += other.asEigen();
        return static_cast<Point<T, N> &>(*this);
    }

operator-() [1/2]

template<typename T, int N>

Extent<T, N> lsst::geom::PointBase< T, N >::operator- ( Point< T, N > const &  other ) const

inlinenoexceptinherited

Definition at line 107 of file Point.h.

                                                                                                      {
        return Extent<T, N>(this->_vector - other._vector);
    }

operator-() [2/2]

template<typename T, int N>

Point<T, N> lsst::geom::PointBase< T, N >::operator- ( Extent< T, N > const &  other ) const

inlinenoexceptinherited

Definition at line 113 of file Point.h.

                                                                                                      {
        return Point<T, N>(this->_vector - other.asEigen());
    }

operator-=()

template<typename T, int N>

Point<T, N>& lsst::geom::PointBase< T, N >::operator-= ( Extent< T, N > const &  other )

inlinenoexceptinherited

Definition at line 120 of file Point.h.

                                                                                                    {
        this->_vector -= other.asEigen();
        return static_cast<Point<T, N> &>(*this);
    }

operator=() [1/2]

template<typename T, int N>

Point& lsst::geom::Point< T, N >::operator= ( Point< T, N > const &  )

default

operator=() [2/2]

template<typename T, int N>

Point& lsst::geom::Point< T, N >::operator= ( Point< T, N > &&  )

default

operator==()

template<typename T, int N>

bool lsst::geom::PointBase< T, N >::operator== ( Point< T, N > const &  other ) const

inlinenoexceptinherited

Standard equality comparison.

Returns true iff all(this->eq(other));

Definition at line 53 of file Point.h.

{ return all(this->eq(other)); }

operator[]() [1/2]

T& lsst::geom::CoordinateBase< Point< T, N > , T, N >::operator[] ( int  n )

inlineinherited

Definition at line 78 of file CoordinateBase.h.

{ return _vector[n]; }

operator[]() [2/2]

T const& lsst::geom::CoordinateBase< Point< T, N > , T, N >::operator[] ( int  n ) const

inlineinherited

Definition at line 79 of file CoordinateBase.h.

{ return const_cast<EigenVector&>(_vector)[n]; }

scale()

template<typename T, int N>

void lsst::geom::PointBase< T, N >::scale ( double  factor )

inlinenoexceptinherited

Definition at line 136 of file Point.h.

{ this->_vector *= factor; }

shift()

template<typename T, int N>

void lsst::geom::PointBase< T, N >::shift ( Extent< T, N > const &  offset )

inlinenoexceptinherited

Shift the point by the given offset.

Definition at line 132 of file Point.h.

                                                                                      {
        this->_vector += offset.asEigen();
    }

swap()

template<typename T, int N>

void lsst::geom::Point< T, N >::swap ( Point< T, N > &  other )

inlinenoexcept

Definition at line 202 of file Point.h.

{ this->_swap(other); }

toString()

template<typename T, int N>

std::string lsst::geom::PointBase< T, N >::toString ( ) const

inlineinherited

Definition at line 143 of file Point.h.

                               {
        std::stringstream out;
        out << "Point(";
        for (size_t i = 0; i < N; ++i) {
            if (i != 0) {
                out << ",";
            }
            out << (*this)[i];
        }
        out << ")";
        return out.str();
    }

Friends And Related Function Documentation

allclose()

bool allclose ( CoordinateBase< Point< T, N > , T, N > const &  a, CoordinateBase< Point< T, N > , T, N > const &  b, T  rtol = static_cast<T>(1E-5), T  atol = static_cast<T>(1E-8)  )

related

Floating-point comparison with tolerance.

Interface, naming, and default tolerances matches Numpy.

Definition at line 30 of file CoordinateBase.cc.

                                                                                {
    Eigen::Array<T, N, 1> diff = (a.asEigen().array() - b.asEigen().array()).abs();
    Eigen::Array<T, N, 1> rhs = (0.5 * (a.asEigen().array() + b.asEigen().array())).abs();
    rhs *= rtol;
    rhs += atol;
    return (diff <= rhs).all();
}

Member Data Documentation

_vector

EigenVector lsst::geom::CoordinateBase< Point< T, N > , T, N >::_vector

protectedinherited

Definition at line 109 of file CoordinateBase.h.

dimensions

int const lsst::geom::CoordinateBase< Point< T, N > , T, N >::dimensions

staticinherited

Definition at line 58 of file CoordinateBase.h.

IS_ELEMENT_NOTHROW_ASSIGNABLE

bool constexpr lsst::geom::CoordinateBase< Point< T, N > , T, N >::IS_ELEMENT_NOTHROW_ASSIGNABLE

staticinherited

Definition at line 61 of file CoordinateBase.h.

IS_ELEMENT_NOTHROW_COPYABLE

bool constexpr lsst::geom::CoordinateBase< Point< T, N > , T, N >::IS_ELEMENT_NOTHROW_COPYABLE

staticinherited

Definition at line 60 of file CoordinateBase.h.

---

The documentation for this class was generated from the following files:

• /j/snowflake/release/lsstsw/stack/Linux64/geom/18.1.0-1-g8ff0b9f+4/include/lsst/geom/CoordinateBase.h
• /j/snowflake/release/lsstsw/stack/Linux64/geom/18.1.0-1-g8ff0b9f+4/include/lsst/geom/Point.h
• /j/snowflake/release/lsstsw/stack/Linux64/geom/18.1.0-1-g8ff0b9f+4/src/Point.cc