Inheritance diagram for Eagle::Plane::vector:

Public Member Functions
vector	inv () const
	Compute the dual of this vector.

Public Member Functions inherited from Eagle::Vector< double, 2 >
Base_t &	fixed_array ()
	Provide access to the base class, writable.

const Base_t &	fixed_array () const
	Provide access to the base class, read-only.

Vector &	*operator=** (const double &value)
	Self-multiplication.

Vector &	operator+= (const Vector &v)
	Self-addition.

Vector	operator- () const
	Unary minus.

Vector &	operator-= (const Vector &v)
	Self-subtraction.

Vector &	operator/= (const double &value)
	Self-division.

Assignment< Vector, 0 >	operator= (const scalar &x)
	Assign first element with scalar and use consecutive comma expressions for assignment of further elements As such a Vector may be assigned as.

Vector &	operator= (const Vector &src)
	Assignment operator.

void	set (const V &value)
	Assign all values to the same scalar.

constexpr	Vector ()
	Default constructor.

	Vector (const double &a)
	Convenience Constructor: initialize the first element.

	Vector (const double &a, const double &b)
	Convenience Constructor: initialize the first two elements.

	Vector (const double &a, const double &b, const double &c)
	Convenience Constructor: initialize the first three elements.

	Vector (const double &a, const double &b, const double &c, const double &d)
	Convenience Constructor: initialize the first four elements.

	Vector (const FixedArray< AType, n > &l, const FixedArray< BType, n > &r, const Operator< CompType > &Op)
	Computational constructor for binary operations on two fixed arrays, calls the Operator's ternary() member function for each element.

	Vector (const FixedArray< AType, n > &l, const Operator< CompType > &, const ScalarType &scalar)
	Computational constructor from vector with scalar, calls the Operator's ternary() member function for each element and the scalar as its 3rd argument.

	Vector (const FixedArray< InputType, SIZE > &V)
	Type conversion constructor.

	Vector (const Indicable &I, const AnyType &)
	Construct from indicable object, i.e.

	Vector (const Operator< CompType > &, const ScalarType &scalar, const FixedArray< AType, n > &v)
	Computational constructor from scalar with vector calls the Operator's ternary() member function for each element and the scalar as its 2nd argument.

constexpr	Vector (const std::initializer_list< InputType > &Init)
	Construct from a initialization array.

	Vector (const Vector &l, const Vector &r, const Operator< CompType > &)
	Computational constructor for binary operations on two vectors calls the Operator's ternary() member function for each element.

	Vector (const Vector &NV, const Sub &, const Sub &)
	Computational constructor for unary minus.

constexpr	Vector (const Vector &v)
	Copy constructor.

	Vector (const Vector &v, const Operator<'-'> &)
	Unitary minus computational constructor Applies the unitary minus to each element.

	Vector (const Vector< InputType, SIZE > &V)
	Type conversion constructor.

Public Member Functions inherited from Eagle::FixedArray< value, N >
void	expandMinMax (FixedArray &MinValues, FixedArray &MaxValues) const
	Expand a range given by MinValues,MaxValues to include the values of this array, done per component.

constexpr	FixedArray () noexcept
	Default constructor.

template<class AType , class BType , OperatorID_t CompType>
constexpr	FixedArray (const FixedArray< AType, N > &l, const FixedArray< BType, N > &r, const Operator< CompType > &)
	Computational constructor for binary operations on two fixed arrays, calls the Operator's ternary() member function for each element.

template<typename T , dimension_t M>
constexpr	FixedArray (const FixedArray< T, M > &F, const T &DefaultValue)
	Construct array from another array type of variable length.

template<typename T >
constexpr	FixedArray (const FixedArray< T, N > &F)
	Automatic type conversion function.

template<typename T , typename ConversionFunctor >
constexpr	FixedArray (const FixedArray< T, N > &F, const ConversionFunctor &CF, const FA_CONVERT &)
	Construct array from another array type of same length.

template<class InitType >
constexpr	FixedArray (const std::initializer_list< InitType > &Init)
	Construct from a initialization array.

constexpr	FixedArray (const value &a)
	Convenience Constructor: initialize the first element.

constexpr	FixedArray (const value &a, const value &b)
	Convenience Constructor: initialize the first two elements.

	FixedArray (const value &a, const value &b, const value &c)
	Convenience Constructor: initialize the first three elements.

constexpr	FixedArray (const value &a, const value &b, const value &c, const value &d)
	Convenience Constructor: initialize the first four elements.

constexpr	FixedArray (const value &a, const value &b, const value &c, const value &d, const value &e)
	Convenience Constructor: initialize the first five elements.

constexpr value &	get (int i)
	writable element access

constexpr const value &	get (int i) const
	read-only element access

template<int subsize, int offset>
constexpr const FixedArray< value, subsize > *	get_subarray () const
	Helper class for retrieve a subset of the current array.

constexpr const FixedArray< value, SIZE-1 > &	get_subdim () const
	Mainly introduced because of Interpolate::operator[].

const FixedArray_t &	getFixedArray () const noexcept
	convenience function for base classes

FixedArray_t &	getFixedArray () noexcept
	convenience function for base classes

constexpr value	getMax () const
	Compute the maximum element value of this array.

constexpr value	getMin () const
	Compute the maximum element value of this array.

template<typename T >
constexpr bool	operator!= (const FixedArray< T, N > &F) const
	Compare two arrays.

template<typename T >
constexpr bool	operator== (const FixedArray< T, N > &F) const
	Compare two arrays.

constexpr value &	operator[] (int i)
	writeable element access operator

constexpr const value &	operator[] (int i) const
	read-only element access operator

constexpr value *	ptr (int i=0) noexcept
	Return a pointer to the ith element, no range checking.

template<class Value >
constexpr void	set (const Value &x)
	Set all array elements to the same value.

void	setFromArray (const value *x, int length=SIZE, int offset=0)
	Set all array elements to an array's element value.

void	sort (FixedArray< int, N > &I) const
	Sort the elements of an array into the index array.

Friends
double	dot (const vector &a, const vector &b)
	Compute the Euclidean dot product (inner product) of two vectors.

double	norm (const vector &v)
	Compute the Euclidan norm of a vector. Note that if just the square of the norm is required, then function norm2() is more efficient since the square root does not need to be taken.

double	norm2 (const vector &v)
	Compute the squared norm of a vector v, i.e. v.v.

vector	operator* (double scalar, const vector &v)
	Multiply scalar with a vector, yielding a vector.

vector	operator/ (const vector &v, double scalar)
	Divide a vector by a scalar.

Additional Inherited Members
Public Types inherited from Eagle::Vector< double, 2 >
enum
	The number of elements in this array.

Public Types inherited from Eagle::FixedArray< value, N >
typedef FlattenedArray_t::value_type	Element_t
	The maximally reduced type of elements stored here.

typedef GetFixedArrayType< value >::result_t	ElementAsFixedArray_t
	Element type as fixed array, if it is convertible to a fixed array.

typedef FixedArray	FixedArray_t
	Exporting the type definition of this array cass type.

typedef FixedArrayFlattener< FixedArrayOfElements_t >	FixedArrayFlattener_t
	Internal helper class.

typedef FixedArray< ElementAsFixedArray_t, N >	FixedArrayOfElements_t
	If the value is derived from a fixed array type itself, then the FixedArrayOfElements_t is an FixedArray<FixedArray<>> type.

typedef FixedArrayFlattener_t::result_t	FlattenedArray_t
	Reduction of this array type, if it is nested, to an flattened type which contains elementary types.

typedef value	value_type
	Export the type of the respective element value type.

Static Public Member Functions inherited from Eagle::FixedArray< value, N >
template<typename T , typename ConversionFunctor >
static constexpr FixedArray	convert (const FixedArray< T, N > &F, const ConversionFunctor &CF)
	Perform a type conversion on a given fixed array into another basis type:

static constexpr dimension_t	size ()
	The number of elements here.

Protected Attributes inherited from Eagle::FixedArray< value, N >
value	data [SIZE]
	The actual data values, intentional no-initialization for data member, which increases performance on vector creation.

Member Function Documentation

◆ inv()

vector Eagle::Plane::vector::inv ( ) const

inline

Compute the dual of this vector.

Compute the inverse vector $v^{-1} = v/|v|^2$

References norm2.

Public Member Functions

Friends

Additional Inherited Members

Member Function Documentation

◆ inv()