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Ogre::Vector< dims, T > Class Template Reference
Core » Math

Standard N-dimensional vector. More...

`#include <OgreVector.h>`

Inheritance diagram for Ogre::Vector< dims, T >:
[legend]

## Public Member Functions

| Vector ()
| Default constructor.
template<int N = dims>
| Vector (const typename std::enable_if< N==4, Vector< 3, T > >::type &rhs, T fW=1.0f)
template<typename U>
| Vector (const U *_ptr)
template<typename U>
| Vector (const Vector< dims, U > &o)
constexpr | Vector (T _x, T _y)
constexpr | Vector (T _x, T _y, T _z)
constexpr | Vector (T _x, T _y, T _z, T _w)
| Vector (T s)
Radian | angleBetween (const Vector &dest) const
| Gets the angle between 2 vectors.
Real | distance (const Vector &rhs) const
| Returns the distance to another vector.
T | dotProduct (const VectorBase< dims, T > &vec) const
| Calculates the dot (scalar) product of this vector with another.
bool | isNaN () const
| Check whether this vector contains valid values.
bool | isZeroLength () const
| Returns true if this vector is zero length.
Real | length () const
| Returns the length (magnitude) of the vector.
void | makeCeil (const Vector &cmp)
| Sets this vector's components to the maximum of its own and the ones of the passed in vector.
void | makeFloor (const Vector &cmp)
| Sets this vector's components to the minimum of its own and the ones of the passed in vector.
Real | normalise ()
| Normalises the vector.
Vector | normalisedCopy () const
| As normalise, except that this vector is unaffected and the normalised vector is returned as a copy.
bool | operator!= (const Vector &v) const
Vector | operator* (const Vector &b) const
Vector | operator* (Real s) const
Vector & | operator*= (const Vector &b)
Vector & | operator*= (Real s)
const Vector & | operator+ () const
Vector | operator+ (const Vector &b) const
Vector | operator+ (Real s) const
Vector & | operator+= (const Vector &b)
Vector & | operator+= (Real s)
Vector | operator- () const
Vector | operator- (const Vector &b) const
Vector | operator- (Real s) const
Vector & | operator-= (const Vector &b)
Vector & | operator-= (Real s)
Vector | operator/ (const Vector &b) const
Vector | operator/ (Real s) const
Vector & | operator/= (const Vector &b)
Vector & | operator/= (Real s)
bool | operator< (const Vector &rhs) const
| Returns true if the vector's scalar components are all greater that the ones of the vector it is compared against.
bool | operator== (const Vector &v) const
bool | operator> (const Vector &rhs) const
| Returns true if the vector's scalar components are all smaller that the ones of the vector it is compared against.
T & | operator[] (size_t i)
T | operator[] (size_t i) const
bool | positionEquals (const Vector &rhs, Real tolerance=1e-03f) const
| Returns whether this vector is within a positional tolerance of another vector.
Vector | reflect (const Vector &normal) const
| Calculates a reflection vector to the plane with the given normal .
T | squaredDistance (const Vector &rhs) const
| Returns the square of the distance to another vector.
T | squaredLength () const
| Returns the square of the length(magnitude) of the vector.
Vector< 2, T > | xy () const
Vector< 3, T > | xyz () const
| Swizzle-like narrowing operations.
Public Member Functions inherited from Ogre::VectorBase< dims, T >
| VectorBase ()
constexpr | VectorBase (T _x, T _y)
constexpr | VectorBase (T _x, T _y, T _z)
constexpr | VectorBase (T _x, T _y, T _z, T _w)
T * | ptr ()
const T * | ptr () const

## Additional Inherited Members

Public Attributes inherited from Ogre::VectorBase< dims, T >
T | data [dims]

## Detailed Description

template<int dims, typename T>
class Ogre::Vector< dims, T >

Standard N-dimensional vector.

A direction in N-D space represented as distances along the orthogonal axes. Note that positions, directions and scaling factors can be represented by a vector, depending on how you interpret the values.

## Constructor & Destructor Documentation

## Vector() [1/8]

template<int dims, typename T>

Ogre::Vector< dims, T >::Vector | ( |  | ) |

inline

Default constructor.

Note
  It does NOT initialize the vector for efficiency.

## Vector() [2/8]

template<int dims, typename T>

Ogre::Vector< dims, T >::Vector | ( | T | _x,
|  | T | _y )

inline constexpr

## Vector() [3/8]

template<int dims, typename T>

Ogre::Vector< dims, T >::Vector | ( | T | _x,
|  | T | _y,
|  | T | _z )

inline constexpr

## Vector() [4/8]

template<int dims, typename T>

Ogre::Vector< dims, T >::Vector | ( | T | _x,
|  | T | _y,
|  | T | _z,
|  | T | _w )

inline constexpr

## Vector() [5/8]

template<int dims, typename T>
template<int N = dims>

Ogre::Vector< dims, T >::Vector | ( | const typename std::enable_if< N==4, Vector< 3, T > >::type & | rhs,
|  | T | fW = 1.0f )

inline explicit

## Vector() [6/8]

template<int dims, typename T>
template<typename U>

Ogre::Vector< dims, T >::Vector | ( | const U * | _ptr | ) |

inline explicit

## Vector() [7/8]

template<int dims, typename T>
template<typename U>

Ogre::Vector< dims, T >::Vector | ( | const Vector< dims, U > & | o | ) |

inline explicit

## Vector() [8/8]

template<int dims, typename T>

Ogre::Vector< dims, T >::Vector | ( | T | s | ) |

inline explicit

## Member Function Documentation

## xyz()

template<int dims, typename T>

Vector< 3, T > Ogre::Vector< dims, T >::xyz | ( |  | ) | const

inline

Swizzle-like narrowing operations.

## xy()

template<int dims, typename T>

Vector< 2, T > Ogre::Vector< dims, T >::xy | ( |  | ) | const

inline

## operator[]() [1/2]

template<int dims, typename T>

T Ogre::Vector< dims, T >::operator[] | ( | size_t | i | ) | const

inline

## operator[]() [2/2]

template<int dims, typename T>

T & Ogre::Vector< dims, T >::operator[] | ( | size_t | i | ) |

inline

## operator==()

template<int dims, typename T>

bool Ogre::Vector< dims, T >::operator== | ( | const Vector< dims, T > & | v | ) | const

inline

## positionEquals()

template<int dims, typename T>

bool Ogre::Vector< dims, T >::positionEquals | ( | const Vector< dims, T > & | rhs,
|  | Real | tolerance = 1e-03f ) const

inline

Returns whether this vector is within a positional tolerance of another vector.

Parameters

  rhs | The vector to compare with
  tolerance | The amount that each element of the vector may vary by and still be considered equal

## operator!=()

template<int dims, typename T>

bool Ogre::Vector< dims, T >::operator!= | ( | const Vector< dims, T > & | v | ) | const

inline

## operator<()

template<int dims, typename T>

bool Ogre::Vector< dims, T >::operator< | ( | const Vector< dims, T > & | rhs | ) | const

inline

Returns true if the vector's scalar components are all greater that the ones of the vector it is compared against.

## operator>()

template<int dims, typename T>

bool Ogre::Vector< dims, T >::operator> | ( | const Vector< dims, T > & | rhs | ) | const

inline

Returns true if the vector's scalar components are all smaller that the ones of the vector it is compared against.

## makeFloor()

template<int dims, typename T>

void Ogre::Vector< dims, T >::makeFloor | ( | const Vector< dims, T > & | cmp | ) |

inline

Sets this vector's components to the minimum of its own and the ones of the passed in vector.

'Minimum' in this case means the combination of the lowest value of x, y and z from both vectors. Lowest is taken just numerically, not magnitude, so -1 < 0.

Referenced by Ogre::AxisAlignedBox::intersection(), and Ogre::AxisAlignedBox::merge().

## makeCeil()

template<int dims, typename T>

void Ogre::Vector< dims, T >::makeCeil | ( | const Vector< dims, T > & | cmp | ) |

inline

Sets this vector's components to the maximum of its own and the ones of the passed in vector.

'Maximum' in this case means the combination of the highest value of x, y and z from both vectors. Highest is taken just numerically, not magnitude, so 1 > -3.

Referenced by Ogre::AxisAlignedBox::intersection(), and Ogre::AxisAlignedBox::merge().

## dotProduct()

template<int dims, typename T>

T Ogre::Vector< dims, T >::dotProduct | ( | const VectorBase< dims, T > & | vec | ) | const

inline

Calculates the dot (scalar) product of this vector with another.

The dot product can be used to calculate the angle between 2 vectors. If both are unit vectors, the dot product is the cosine of the angle; otherwise the dot product must be divided by the product of the lengths of both vectors to get the cosine of the angle. This result can further be used to calculate the distance of a point from a plane.

Parameters

  vec | Vector with which to calculate the dot product (together with this one).

Returns
  A float representing the dot product value.

Referenced by Ogre::Math::calculateFaceNormal(), Ogre::Math::calculateFaceNormalWithoutNormalize(), Ogre::VectorBase< 3, Real >::directionEquals(), Ogre::VectorBase< 3, Real >::getRotationTo(), Ogre::Ray::intersects(), Ogre::Ray::intersects(), Ogre::Matrix3::orthonormalised(), and Ogre::Plane::redefine().

## squaredLength()

template<int dims, typename T>

T Ogre::Vector< dims, T >::squaredLength | ( |  | ) | const

inline

Returns the square of the length(magnitude) of the vector.

This method is for efficiency - calculating the actual length of a vector requires a square root, which is expensive in terms of the operations required. This method returns the square of the length of the vector, i.e. the same as the length but before the square root is taken. Use this if you want to find the longest / shortest vector without incurring the square root.

Referenced by Ogre::VectorBase< 3, Real >::getRotationTo(), Ogre::Ray::intersects(), Ogre::Sphere::merge(), Ogre::VectorBase< 3, Real >::positionCloses(), and Ogre::AxisAlignedBox::squaredDistance().

## isZeroLength()

template<int dims, typename T>

bool Ogre::Vector< dims, T >::isZeroLength | ( |  | ) | const

inline

Returns true if this vector is zero length.

## length()

template<int dims, typename T>

Real Ogre::Vector< dims, T >::length | ( |  | ) | const

inline

Returns the length (magnitude) of the vector.

Warning
  This operation requires a square root and is expensive in terms of CPU operations. If you don't need to know the exact length (e.g. for just comparing lengths) use squaredLength() instead.

Referenced by Ogre::Vector< 2, Real >::angleBetween().

## distance()

template<int dims, typename T>

Real Ogre::Vector< dims, T >::distance | ( | const Vector< dims, T > & | rhs | ) | const

inline

Returns the distance to another vector.

Warning
  This operation requires a square root and is expensive in terms of CPU operations. If you don't need to know the exact distance (e.g. for just comparing distances) use squaredDistance() instead.

## squaredDistance()

template<int dims, typename T>

T Ogre::Vector< dims, T >::squaredDistance | ( | const Vector< dims, T > & | rhs | ) | const

inline

Returns the square of the distance to another vector.

This method is for efficiency - calculating the actual distance to another vector requires a square root, which is expensive in terms of the operations required. This method returns the square of the distance to another vector, i.e. the same as the distance but before the square root is taken. Use this if you want to find the longest / shortest distance without incurring the square root.

## normalise()

template<int dims, typename T>

Real Ogre::Vector< dims, T >::normalise | ( |  | ) |

inline

Normalises the vector.

This method normalises the vector such that it's length / magnitude is 1. The result is called a unit vector.

Note
  This function will not crash for zero-sized vectors, but there will be no changes made to their components.

Returns
  The previous length of the vector.

Referenced by Ogre::Math::calculateBasicFaceNormal(), Ogre::Vector< 2, Real >::normalisedCopy(), and Ogre::operator*().

## normalisedCopy()

template<int dims, typename T>

Vector Ogre::Vector< dims, T >::normalisedCopy | ( |  | ) | const

inline

As normalise, except that this vector is unaffected and the normalised vector is returned as a copy.

Referenced by Ogre::Math::lookRotation(), and Ogre::VectorBase< 3, Real >::perpendicular().

## isNaN()

template<int dims, typename T>

bool Ogre::Vector< dims, T >::isNaN | ( |  | ) | const

inline

Check whether this vector contains valid values.

## angleBetween()

template<int dims, typename T>

Radian Ogre::Vector< dims, T >::angleBetween | ( | const Vector< dims, T > & | dest | ) | const

inline

Gets the angle between 2 vectors.

Vectors do not have to be unit-length but must represent directions.

## reflect()

template<int dims, typename T>

Vector Ogre::Vector< dims, T >::reflect | ( | const Vector< dims, T > & | normal | ) | const

inline

Calculates a reflection vector to the plane with the given normal .

Note
  assumes 'this' is pointing AWAY FROM the plane, invert if it is not.

## operator*=() [1/2]

template<int dims, typename T>

Vector & Ogre::Vector< dims, T >::operator*= | ( | Real | s | ) |

inline

## operator/=() [1/2]

template<int dims, typename T>

Vector & Ogre::Vector< dims, T >::operator/= | ( | Real | s | ) |

inline

## operator+=() [1/2]

template<int dims, typename T>

Vector & Ogre::Vector< dims, T >::operator+= | ( | Real | s | ) |

inline

## operator-=() [1/2]

template<int dims, typename T>

Vector & Ogre::Vector< dims, T >::operator-= | ( | Real | s | ) |

inline

## operator+=() [2/2]

template<int dims, typename T>

Vector & Ogre::Vector< dims, T >::operator+= | ( | const Vector< dims, T > & | b | ) |

inline

## operator-=() [2/2]

template<int dims, typename T>

Vector & Ogre::Vector< dims, T >::operator-= | ( | const Vector< dims, T > & | b | ) |

inline

## operator*=() [2/2]

template<int dims, typename T>

Vector & Ogre::Vector< dims, T >::operator*= | ( | const Vector< dims, T > & | b | ) |

inline

## operator/=() [2/2]

template<int dims, typename T>

Vector & Ogre::Vector< dims, T >::operator/= | ( | const Vector< dims, T > & | b | ) |

inline

## operator-() [1/3]

template<int dims, typename T>

Vector Ogre::Vector< dims, T >::operator- | ( |  | ) | const

inline

## operator+() [1/3]

template<int dims, typename T>

const Vector & Ogre::Vector< dims, T >::operator+ | ( |  | ) | const

inline

## operator*() [1/2]

template<int dims, typename T>

Vector Ogre::Vector< dims, T >::operator* | ( | Real | s | ) | const

inline

## operator/() [1/2]

template<int dims, typename T>

Vector Ogre::Vector< dims, T >::operator/ | ( | Real | s | ) | const

inline

## operator-() [2/3]

template<int dims, typename T>

Vector Ogre::Vector< dims, T >::operator- | ( | Real | s | ) | const

inline

## operator+() [2/3]

template<int dims, typename T>

Vector Ogre::Vector< dims, T >::operator+ | ( | Real | s | ) | const

inline

## operator+() [3/3]

template<int dims, typename T>

Vector Ogre::Vector< dims, T >::operator+ | ( | const Vector< dims, T > & | b | ) | const

inline

## operator-() [3/3]

template<int dims, typename T>

Vector Ogre::Vector< dims, T >::operator- | ( | const Vector< dims, T > & | b | ) | const

inline

## operator*() [2/2]

template<int dims, typename T>

Vector Ogre::Vector< dims, T >::operator* | ( | const Vector< dims, T > & | b | ) | const

inline

## operator/() [2/2]

template<int dims, typename T>

Vector Ogre::Vector< dims, T >::operator/ | ( | const Vector< dims, T > & | b | ) | const

inline

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

- OgreVector.h