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Represents a mathematical vector in n-dimensional space. - More...
- -#include <vector.hpp>
-Public Member Functions | |
| Vector ()=delete | |
| ~Vector ()=default | |
| Vector (std::size_t _size) | |
| Constructs a vector of a specific size. | |
| Vector (VectorType const &_vec) | |
| Constructs a vector from a given VectorType (std::vector). | |
| Vector (Vector const &_fvec) | |
| Copy constructor to create a new vector from an existing one. | |
| std::string | View () const |
| Returns a string representation of the vector. | |
| Real | At (std::size_t idx) const |
| Retrieves the value at a specific index in the vector (const version). | |
| Real & | At (std::size_t idx) |
| Retrieves a reference to the value at a specific index in the vector. | |
| Real | operator[] (std::size_t idx) const |
| Overloaded subscript operator to access the value at a specific index (const version). | |
| Real & | operator[] (std::size_t idx) |
| Overloaded subscript operator to access the value at a specific index. | |
| std::size_t | Size () const |
| Returns the size (number of elements) of the vector. | |
| std::size_t | Rank () const |
| Returns the rank (dimensionality) of the vector. It is same as Size() method. | |
| Vector | Add (Vector const &_fvec) const |
| Performs vector addition with another vector and returns the result as a new vector. | |
| Vector | Add (Real const &_scalar) const |
| Performs scalar addition with a real value and returns the result as a new vector. | |
| Vector | operator+ (Vector const &_fvec) const |
| Overloaded operator to perform vector addition. | |
| Vector | operator+ (Real const &_scalar) const |
| Overloaded operator to perform scalar addition. | |
| Vector | operator++ () const |
| Overloaded prefix increment operator to increment all elements of the vector by one. | |
| Vector | Scale (Real const &_fvec) const |
| Performs vector scaling by a real value and returns the result as a new vector. | |
| Vector | operator* (Real const &_scalar) const |
| Overloaded operator to perform vector scaling. | |
| Vector | Subtract (Vector const &_fvec) const |
| Performs vector subtraction with another vector and returns the result as a new vector. | |
| Vector | Subtract (Real const &_scalar) const |
| Performs scalar subtraction with a real value and returns the result as a new vector. | |
| Vector | operator- (Vector const &_fvec) const |
| Overloaded operator to perform vector subtraction. | |
| Vector | operator- (Real const &_scalar) const |
| Overloaded operator to perform scalar subtraction. | |
| Vector | operator-- () const |
| Overloaded prefix decrement operator to decrement all elements of the vector by one. | |
| Vector | operator- () const |
| Overload unary negation operator to negate the original vector, giving anti-parallel vector. | |
| Real | Dot (Vector const &_fvec) const |
| Calculates the dot product between this vector and another vector. | |
| Vector | Cross (Vector const &_fvec) const |
| Calculates the cross product between this vector and another vector. Both vectors must have three dimensions. | |
| Real | ElemSum () const |
| Calculates the sum of all elements in the vector. | |
| Real | Magnitude () const |
| Calculates the magnitude (Euclidean norm) of the vector. | |
| Vector | Normalize () const |
| Returns a new vector that is the normalized version of this vector. | |
| Real | AngleWith (Vector const &_fvec) const |
| Calculates the angle between this vector and another vector in radians. | |
| bool | IsZero () |
| Checks if the vector is a zero vector (all elements are zero). | |
| bool | IsNormalized () |
| Checks if the vector is a unit vector (normalized with a magnitude of 1). | |
| bool | IsParallel (Vector const &_fvec) |
| Checks if this vector is parallel to another vector. | |
| bool | IsOrthogonal (Vector const &_fvec) |
| Checks if this vector is orthogonal (perpendicular) to another vector. | |
| Real | ParallelogramArea (Vector const &_fvec) const |
| Calculates the area of the parallelogram spanned by this vector and another vector. | |
| Real | TriangleArea (Vector const &_fvec) const |
| Calculates the area of the triangle formed by this vector and another vector. | |
-Friends | |
| std::ostream & | operator<< (std::ostream &os, Vector const &_fvec) |
| Overloaded stream insertion operator to print the vector to an output stream. | |
Represents a mathematical vector in n-dimensional space.
-The Vector class provides various operations on vectors, such as addition, subtraction, scaling, dot product, cross product, normalization, angle calculation, and more.
-
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| Firefly::Vector::Vector | -( | -std::size_t | -_size | ) | -- |
Constructs a vector of a specific size.
-| _size | The size of the vector. |
| Firefly::Vector::Vector | -( | -VectorType const & | -_vec | ) | -- |
Constructs a vector from a given VectorType (std::vector).
-| _vec | The VectorType representing the vector. |
| Firefly::Vector::Vector | -( | -Vector const & | -_fvec | ) | -- |
Copy constructor to create a new vector from an existing one.
-| _f | The source vector to copy from. |
Performs scalar addition with a real value and returns the result as a new vector.
-| _scalar | The scalar value to add. |
Performs vector addition with another vector and returns the result as a new vector.
-| _fvec | The vector to add. |
Calculates the angle between this vector and another vector in radians.
-| _fvec | The other vector to calculate the angle with. |
| Real & Firefly::Vector::At | -( | -std::size_t | -idx | ) | -- |
Retrieves a reference to the value at a specific index in the vector.
-| idx | The index of the element to retrieve. |
| Real Firefly::Vector::At | -( | -std::size_t | -idx | ) | -const | -
Retrieves the value at a specific index in the vector (const version).
-| idx | The index of the element to retrieve. |
Calculates the cross product between this vector and another vector. Both vectors must have three dimensions.
-| _fvec | The other vector to calculate the cross product with. |
Calculates the dot product between this vector and another vector.
-| _fvec | The other vector to calculate the dot product with. |
| Real Firefly::Vector::ElemSum | -( | -) | -const | -
Calculates the sum of all elements in the vector.
-| bool Firefly::Vector::IsNormalized | -( | -) | -- |
Checks if the vector is a unit vector (normalized with a magnitude of 1).
-| bool Firefly::Vector::IsOrthogonal | -( | -Vector const & | -_fvec | ) | -- |
Checks if this vector is orthogonal (perpendicular) to another vector.
-Two vectors are considered orthogonal if their dot product is 0, indicating a 90-degree angle between them.
-| _fvec | The other vector to check for orthogonality. |
| bool Firefly::Vector::IsParallel | -( | -Vector const & | -_fvec | ) | -- |
Checks if this vector is parallel to another vector.
-Two vectors are considered parallel if their direction is the same or opposite. To determine parallelism, the function calculates the angle between the vectors and checks if it is either 0 degrees or 180 degrees (pi radians).
-| _fvec | The other vector to check for parallelism. |
| bool Firefly::Vector::IsZero | -( | -) | -- |
Checks if the vector is a zero vector (all elements are zero).
-| Real Firefly::Vector::Magnitude | -( | -) | -const | -
Calculates the magnitude (Euclidean norm) of the vector.
-| Vector Firefly::Vector::Normalize | -( | -) | -const | -
Returns a new vector that is the normalized version of this vector.
-Overloaded operator to perform vector scaling.
-| _scalar | The scalar value to scale the vector by. |
Overloaded operator to perform scalar addition.
-| _scalar | The scalar value to add. |
Overloaded operator to perform vector addition.
-| _fvec | The vector to add. |
| Vector Firefly::Vector::operator++ | -( | -) | -const | -
Overloaded prefix increment operator to increment all elements of the vector by one.
-| Vector Firefly::Vector::operator- | -( | -) | -const | -
Overload unary negation operator to negate the original vector, giving anti-parallel vector.
-It negates all components of the vector, effectively reversing its direction while keeping its magnitude unchanged. The resulting vector points in the opposite direction of the original vector.
-For a 2D vector v = (x, y), the negation -v = (-x, -y). For a 3D vector v = (x, y, z), the negation -v = (-x, -y, -z).
-Overloaded operator to perform scalar subtraction.
-| _scalar | The scalar value to subtract. |
Overloaded operator to perform vector subtraction.
-| _fvec | The vector to subtract. |
| Vector Firefly::Vector::operator-- | -( | -) | -const | -
Overloaded prefix decrement operator to decrement all elements of the vector by one.
-| Real & Firefly::Vector::operator[] | -( | -std::size_t | -idx | ) | -- |
Overloaded subscript operator to access the value at a specific index.
-| idx | The index of the element to retrieve. |
| Real Firefly::Vector::operator[] | -( | -std::size_t | -idx | ) | -const | -
Overloaded subscript operator to access the value at a specific index (const version).
-| idx | The index of the element to retrieve. |
Calculates the area of the parallelogram spanned by this vector and another vector.
-| _fvec | The other vector forming the parallelogram. |
| std::size_t Firefly::Vector::Rank | -( | -) | -const | -
Returns the rank (dimensionality) of the vector. It is same as Size() method.
-Performs vector scaling by a real value and returns the result as a new vector.
-| _scalar | The scalar value to scale the vector by. |
| std::size_t Firefly::Vector::Size | -( | -) | -const | -
Returns the size (number of elements) of the vector.
-Performs scalar subtraction with a real value and returns the result as a new vector.
-| _scalar | The scalar value to subtract. |
Performs vector subtraction with another vector and returns the result as a new vector.
-| _fvec | The vector to subtract. |
Calculates the area of the triangle formed by this vector and another vector.
-| _fvec | The other vector forming the triangle. |
| std::string Firefly::Vector::View | -( | -) | -const | -
Returns a string representation of the vector.
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Overloaded stream insertion operator to print the vector to an output stream.
-| os | The output stream. |
| _fvec | The vector to print. |
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-Typedefs | |
| using | VectorType = std::vector< Real > |
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| std::ostream & | operator<< (std::ostream &os, Firefly::Vector const &_fvec) |
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| std::ostream & Firefly::operator<< | -( | -std::ostream & | -os, | -
| - | - | Firefly::Vector const & | -_fvec | -
| - | ) | -- |
| os | The output stream. |
| _fvec | The vector to print. |
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#include <cstddef>#include <memory>#include <ostream>#include <vector>
Go to the source code of this file.
--Classes | |
| class | Firefly::Vector |
| Represents a mathematical vector in n-dimensional space. More... | |
-Namespaces | |
| namespace | Firefly |
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| using | Real = float |
| using | Firefly::VectorType = std::vector< Real > |
| using Real = float | -
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Represents a mathematical vector in n-dimensional space. - More...
- -#include <vector.hpp>
-Public Member Functions | |
| Vector (Vector &&)=delete | |
| Vector ()=delete | |
| ~Vector ()=default | |
| Vector (std::size_t _size) | |
| Constructs a vector of a specific size. | |
| Vector (VectorType const &_vec) | |
| Constructs a vector from a given VectorType (std::vector). | |
| Vector (Vector const &_fvec) | |
| Copy constructor to create a new vector from an existing one. | |
| std::string | View () const |
| Returns a string representation of the vector. | |
| Real | At (std::size_t idx) const |
| Retrieves the value at a specific index in the vector (const version). | |
| Real & | At (std::size_t idx) |
| Retrieves a reference to the value at a specific index in the vector. | |
| Real | operator[] (std::size_t idx) const |
| Overloaded subscript operator to access the value at a specific index (const version). | |
| Real & | operator[] (std::size_t idx) |
| Overloaded subscript operator to access the value at a specific index. | |
| std::size_t | Size () const |
| Returns the size (number of elements) of the vector. | |
| std::size_t | Rank () const |
| Returns the rank (dimensionality) of the vector. It is same as Size() method. | |
| std::unique_ptr< Vector > | Add (Vector const &_fvec) const |
| Performs vector addition with another vector and returns the result as a new vector. | |
| std::unique_ptr< Vector > | Add (Real const &_scalar) const |
| Performs scalar addition with a real value and returns the result as a new vector. | |
| std::unique_ptr< Vector > | operator+ (Vector const &_fvec) const |
| Overloaded operator to perform vector addition. | |
| std::unique_ptr< Vector > | operator+ (Real const &_scalar) const |
| Overloaded operator to perform scalar addition. | |
| std::unique_ptr< Vector > | operator++ () const |
| Overloaded prefix increment operator to increment all elements of the vector by one. | |
| std::unique_ptr< Vector > | Scale (Real const &_fvec) const |
| Performs vector scaling by a real value and returns the result as a new vector. | |
| std::unique_ptr< Vector > | operator* (Real const &_scalar) const |
| Overloaded operator to perform vector scaling. | |
| std::unique_ptr< Vector > | Subtract (Vector const &_fvec) const |
| Performs vector subtraction with another vector and returns the result as a new vector. | |
| std::unique_ptr< Vector > | Subtract (Real const &_scalar) const |
| Performs scalar subtraction with a real value and returns the result as a new vector. | |
| std::unique_ptr< Vector > | operator- (Vector const &_fvec) const |
| Overloaded operator to perform vector subtraction. | |
| std::unique_ptr< Vector > | operator- (Real const &_scalar) const |
| Overloaded operator to perform scalar subtraction. | |
| std::unique_ptr< Vector > | operator-- () const |
| Overloaded prefix decrement operator to decrement all elements of the vector by one. | |
| Real | Dot (Vector const &_fvec) const |
| Calculates the dot product between this vector and another vector. | |
| std::unique_ptr< Vector > | Cross (Vector const &_fvec) const |
| Calculates the cross product between this vector and another vector. Both vectors must have three dimensions. | |
| Real | ElemSum () const |
| Calculates the sum of all elements in the vector. | |
| Real | Magnitude () const |
| Calculates the magnitude (Euclidean norm) of the vector. | |
| std::unique_ptr< Vector > | Normalize () const |
| Returns a new vector that is the normalized version of this vector. | |
| Real | AngleWith (Vector const &_fvec) const |
| Calculates the angle between this vector and another vector in radians. | |
| bool | IsZero () |
| Checks if the vector is a zero vector (all elements are zero). | |
| bool | IsNormalized () |
| Checks if the vector is a unit vector (normalized with a magnitude of 1). | |
| bool | IsParallel (Vector const &_fvec) |
| Checks if this vector is parallel to another vector. | |
| bool | IsOrthogonal (Vector const &_fvec) |
| Checks if this vector is orthogonal (perpendicular) to another vector. | |
| Real | ParallelogramArea (Vector const &_fvec) const |
| Calculates the area of the parallelogram spanned by this vector and another vector. | |
| Real | TriangleArea (Vector const &_fvec) const |
| Calculates the area of the triangle formed by this vector and another vector. | |
-Friends | |
| std::ostream & | operator<< (std::ostream &os, Vector const &_fvec) |
| Overloaded stream insertion operator to print the vector to an output stream. | |
Represents a mathematical vector in n-dimensional space.
-The Vector class provides various operations on vectors, such as addition, subtraction, scaling, dot product, cross product, normalization, angle calculation, and more.
-
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| Firefly::Vector::Vector | -( | -std::size_t | -_size | ) | -- |
Constructs a vector of a specific size.
-| _size | The size of the vector. |
| Firefly::Vector::Vector | -( | -VectorType const & | -_vec | ) | -- |
Constructs a vector from a given VectorType (std::vector).
-| _vec | The VectorType representing the vector. |
| Firefly::Vector::Vector | -( | -Vector const & | -_fvec | ) | -- |
Copy constructor to create a new vector from an existing one.
-| _f | The source vector to copy from. |
Performs scalar addition with a real value and returns the result as a new vector.
-| _scalar | The scalar value to add. |
Performs vector addition with another vector and returns the result as a new vector.
-| _fvec | The vector to add. |
Calculates the angle between this vector and another vector in radians.
-| _fvec | The other vector to calculate the angle with. |
| Real & Firefly::Vector::At | -( | -std::size_t | -idx | ) | -- |
Retrieves a reference to the value at a specific index in the vector.
-| idx | The index of the element to retrieve. |
| Real Firefly::Vector::At | -( | -std::size_t | -idx | ) | -const | -
Retrieves the value at a specific index in the vector (const version).
-| idx | The index of the element to retrieve. |
Calculates the cross product between this vector and another vector. Both vectors must have three dimensions.
-| _fvec | The other vector to calculate the cross product with. |
Calculates the dot product between this vector and another vector.
-| _fvec | The other vector to calculate the dot product with. |
| Real Firefly::Vector::ElemSum | -( | -) | -const | -
Calculates the sum of all elements in the vector.
-| bool Firefly::Vector::IsNormalized | -( | -) | -- |
Checks if the vector is a unit vector (normalized with a magnitude of 1).
-| bool Firefly::Vector::IsOrthogonal | -( | -Vector const & | -_fvec | ) | -- |
Checks if this vector is orthogonal (perpendicular) to another vector.
-Two vectors are considered orthogonal if their dot product is 0, indicating a 90-degree angle between them.
-| _fvec | The other vector to check for orthogonality. |
| bool Firefly::Vector::IsParallel | -( | -Vector const & | -_fvec | ) | -- |
Checks if this vector is parallel to another vector.
-Two vectors are considered parallel if their direction is the same or opposite. To determine parallelism, the function calculates the angle between the vectors and checks if it is either 0 degrees or 180 degrees (pi radians).
-| _fvec | The other vector to check for parallelism. |
| bool Firefly::Vector::IsZero | -( | -) | -- |
Checks if the vector is a zero vector (all elements are zero).
-| Real Firefly::Vector::Magnitude | -( | -) | -const | -
Calculates the magnitude (Euclidean norm) of the vector.
-| std::unique_ptr< Vector > Firefly::Vector::Normalize | -( | -) | -const | -
Returns a new vector that is the normalized version of this vector.
-| std::unique_ptr< Vector > Firefly::Vector::operator* | -( | -Real const & | -_scalar | ) | -const | -
Overloaded operator to perform vector scaling.
-| _scalar | The scalar value to scale the vector by. |
| std::unique_ptr< Vector > Firefly::Vector::operator+ | -( | -Real const & | -_scalar | ) | -const | -
Overloaded operator to perform scalar addition.
-| _scalar | The scalar value to add. |
| std::unique_ptr< Vector > Firefly::Vector::operator+ | -( | -Vector const & | -_fvec | ) | -const | -
Overloaded operator to perform vector addition.
-| _fvec | The vector to add. |
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Overloaded prefix increment operator to increment all elements of the vector by one.
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Overloaded operator to perform scalar subtraction.
-| _scalar | The scalar value to subtract. |
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Overloaded operator to perform vector subtraction.
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Overloaded prefix decrement operator to decrement all elements of the vector by one.
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Overloaded subscript operator to access the value at a specific index.
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Overloaded subscript operator to access the value at a specific index (const version).
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Calculates the area of the parallelogram spanned by this vector and another vector.
-| _fvec | The other vector forming the parallelogram. |
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Returns the rank (dimensionality) of the vector. It is same as Size() method.
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-| _scalar | The scalar value to scale the vector by. |
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Returns the size (number of elements) of the vector.
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Performs scalar subtraction with a real value and returns the result as a new vector.
-| _scalar | The scalar value to subtract. |
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Performs vector subtraction with another vector and returns the result as a new vector.
-| _fvec | The vector to subtract. |
Calculates the area of the triangle formed by this vector and another vector.
-| _fvec | The other vector forming the triangle. |
| std::string Firefly::Vector::View | -( | -) | -const | -
Returns a string representation of the vector.
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-| os | The output stream. |
| _fvec | The vector to print. |
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---nav-text-hover-shadow: 0px 1px 1px rgba(0, 0, 0, 1.0);
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---toc-border-color: #202E4A;
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---font-family-icon: Arial,Helvetica;
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-a.code.hl_package { /* style for links to package names in code snippets */ }
-a.code.hl_define { /* style for links to macro names in code snippets */ }
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-a.code.hl_typedef { /* style for links to typedef names in code snippets */ }
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-a.code.hl_slot { /* style for links to Qt slot names in code snippets */ }
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-a.code.hl_dcop { /* style for links to KDE3 DCOP names in code snippets */ }
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-a.code.hl_event { /* style for links to event names in code snippets */ }
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-div.fragment {
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- white-space: -pre-wrap; /* Opera 4-6 */
- white-space: -o-pre-wrap; /* Opera 7 */
- white-space: pre-wrap; /* CSS3 */
- word-wrap: break-word; /* IE 5.5+ */
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- padding-left: 53px;
- padding-bottom: 0px;
- margin: 0px;
- -webkit-transition-property: background-color, box-shadow;
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-.lineno {
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