A full multivector in 3D consists of 
#include <elementary/eagle/rotor3.hpp>
Inheritance diagram for Eagle::PhysicalSpace::MultiVector:
Public Member Functions | |
| MultiVector | operator* () |
| Hodge star operator, exchanges odd and even part. | |
 Public Member Functions inherited from Eagle::Vector< double, 8 > | |
| 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 | |
| MultiVector | operator+ (const EvenMultiVector &E, const OddMultiVector &O) |
| Add even and odd multivector. | |
| MultiVector | operator+ (const OddMultiVector &O, const EvenMultiVector &E) |
| Add odd and even multivector. | |
Additional Inherited Members | |
| Public Types inherited from Eagle::Vector< double, 8 > | |
| 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. | |
Detailed Description
A full multivector in 3D consists of
