# Ogre::Vector2 Class Reference

Standard 2-dimensional vector. More...

`#include <OgreVector2.h>`

List of all members.

## Public Member Functions

| Vector2 ()
| Vector2 (const Real fX, const Real fY)
| Vector2 (const Real scaler)
| Vector2 (const Real afCoordinate[2])
| Vector2 (const int afCoordinate[2])
| Vector2 (Real *const r)
Real | operator[] (const size_t i) const
Real & | operator[] (const size_t i)
Real * | ptr ()
| Pointer accessor for direct copying.
const Real * | ptr () const
| Pointer accessor for direct copying.
Vector2 & | operator= (const Vector2 &rkVector)
| Assigns the value of the other vector.
Vector2 & | operator= (const Real fScalar)
bool | operator== (const Vector2 &rkVector) const
bool | operator!= (const Vector2 &rkVector) const
Vector2 | operator+ (const Vector2 &rkVector) const
Vector2 | operator- (const Vector2 &rkVector) const
Vector2 | operator* (const Real fScalar) const
Vector2 | operator* (const Vector2 &rhs) const
Vector2 | operator/ (const Real fScalar) const
Vector2 | operator/ (const Vector2 &rhs) const
const Vector2 & | operator+ () const
Vector2 | operator- () const
Vector2 & | operator+= (const Vector2 &rkVector)
Vector2 & | operator+= (const Real fScaler)
Vector2 & | operator-= (const Vector2 &rkVector)
Vector2 & | operator-= (const Real fScaler)
Vector2 & | operator*= (const Real fScalar)
Vector2 & | operator*= (const Vector2 &rkVector)
Vector2 & | operator/= (const Real fScalar)
Vector2 & | operator/= (const Vector2 &rkVector)
Real | length () const
| Returns the length (magnitude) of the vector.
Real | squaredLength () const
| Returns the square of the length(magnitude) of the vector.
Real | dotProduct (const Vector2 &vec) const
| Calculates the dot (scalar) product of this vector with another.
Real | normalise ()
| Normalises the vector.
Vector2 | midPoint (const Vector2 &vec) const
| Returns a vector at a point half way between this and the passed in vector.
bool | operator< (const Vector2 &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 Vector2 &rhs) const
| Returns true if the vector's scalar components are all smaller that the ones of the vector it is compared against.
void | makeFloor (const Vector2 &cmp)
| Sets this vector's components to the minimum of its own and the ones of the passed in vector.
void | makeCeil (const Vector2 &cmp)
| Sets this vector's components to the maximum of its own and the ones of the passed in vector.
Vector2 | perpendicular (void) const
| Generates a vector perpendicular to this vector (eg an 'up' vector).
Real | crossProduct (const Vector2 &rkVector) const
| Calculates the 2 dimensional cross-product of 2 vectors, which results in a single floating point value which is 2 times the area of the triangle.
Vector2 | randomDeviant (Real angle) const
| Generates a new random vector which deviates from this vector by a given angle in a random direction.
bool | isZeroLength (void) const
| Returns true if this vector is zero length.
Vector2 | normalisedCopy (void) const
| As normalise, except that this vector is unaffected and the normalised vector is returned as a copy.
Vector2 | reflect (const Vector2 &normal) const
| Calculates a reflection vector to the plane with the given normal .

## Public Attributes

Real | x
Real | y

## Static Public Attributes

static const Vector2 | ZERO
static const Vector2 | UNIT_X
static const Vector2 | UNIT_Y
static const Vector2 | NEGATIVE_UNIT_X
static const Vector2 | NEGATIVE_UNIT_Y
static const Vector2 | UNIT_SCALE

## Friends

Vector2 | operator* (const Real fScalar, const Vector2 &rkVector)
Vector2 | operator/ (const Real fScalar, const Vector2 &rkVector)
Vector2 | operator+ (const Vector2 &lhs, const Real rhs)
Vector2 | operator+ (const Real lhs, const Vector2 &rhs)
Vector2 | operator- (const Vector2 &lhs, const Real rhs)
Vector2 | operator- (const Real lhs, const Vector2 &rhs)
_OgreExport friend std::ostream & | operator<< (std::ostream &o, const Vector2 &v)
| Function for writing to a stream.

## Detailed Description

Standard 2-dimensional vector.

Remarks:
  A direction in 2D space represented as distances along the 2 orthogonal axes (x, y). Note that positions, directions and scaling factors can be represented by a vector, depending on how you interpret the values.

Definition at line 46 of file OgreVector2.h.

## Constructor & Destructor Documentation

Ogre::Vector2::Vector2 | ( |  | ) |

Definition at line 52 of file OgreVector2.h.

Ogre::Vector2::Vector2 | ( | const Real | fX,
|  | const Real | fY |
| ) |  |  |

Definition at line 56 of file OgreVector2.h.

Ogre::Vector2::Vector2 | ( | const Real | scaler | ) | `[explicit]`

Definition at line 61 of file OgreVector2.h.

Ogre::Vector2::Vector2 | ( | const Real | afCoordinate[2] | ) | `[explicit]`

Definition at line 66 of file OgreVector2.h.

Ogre::Vector2::Vector2 | ( | const int | afCoordinate[2] | ) | `[explicit]`

Definition at line 72 of file OgreVector2.h.

Ogre::Vector2::Vector2 | ( | Real *const | r | ) | `[explicit]`

Definition at line 78 of file OgreVector2.h.

## Member Function Documentation

Real Ogre::Vector2::operator[] | ( | const size_t | i | ) | const

Definition at line 83 of file OgreVector2.h.

Real& Ogre::Vector2::operator[] | ( | const size_t | i | ) |

Definition at line 90 of file OgreVector2.h.

Real* Ogre::Vector2::ptr | ( |  | ) |

Pointer accessor for direct copying.

Definition at line 98 of file OgreVector2.h.

Referenced by Ogre::AnimableValue::setAsBaseValue().

const Real* Ogre::Vector2::ptr | ( |  | ) | const

Pointer accessor for direct copying.

Definition at line 103 of file OgreVector2.h.

Vector2& Ogre::Vector2::operator= | ( | const Vector2 & | rkVector | ) |

Assigns the value of the other vector.

Parameters:

  | rkVector | The other vector

Definition at line 112 of file OgreVector2.h.

References x, and y.

Vector2& Ogre::Vector2::operator= | ( | const Real | fScalar | ) |

Definition at line 120 of file OgreVector2.h.

bool Ogre::Vector2::operator== | ( | const Vector2 & | rkVector | ) | const

Definition at line 128 of file OgreVector2.h.

References x, and y.

bool Ogre::Vector2::operator!= | ( | const Vector2 & | rkVector | ) | const

Definition at line 133 of file OgreVector2.h.

References x, and y.

Vector2 Ogre::Vector2::operator+ | ( | const Vector2 & | rkVector | ) | const

Definition at line 139 of file OgreVector2.h.

References x, and y.

Vector2 Ogre::Vector2::operator- | ( | const Vector2 & | rkVector | ) | const

Definition at line 146 of file OgreVector2.h.

References x, and y.

Vector2 Ogre::Vector2::operator* | ( | const Real | fScalar | ) | const

Definition at line 153 of file OgreVector2.h.

Vector2 Ogre::Vector2::operator* | ( | const Vector2 & | rhs | ) | const

Definition at line 160 of file OgreVector2.h.

References x, and y.

Vector2 Ogre::Vector2::operator/ | ( | const Real | fScalar | ) | const

Definition at line 167 of file OgreVector2.h.

Vector2 Ogre::Vector2::operator/ | ( | const Vector2 & | rhs | ) | const

Definition at line 178 of file OgreVector2.h.

References x, and y.

const Vector2& Ogre::Vector2::operator+ | ( |  | ) | const

Definition at line 185 of file OgreVector2.h.

Vector2 Ogre::Vector2::operator- | ( |  | ) | const

Definition at line 190 of file OgreVector2.h.

Vector2& Ogre::Vector2::operator+= | ( | const Vector2 & | rkVector | ) |

Definition at line 238 of file OgreVector2.h.

References x, and y.

Vector2& Ogre::Vector2::operator+= | ( | const Real | fScaler | ) |

Definition at line 246 of file OgreVector2.h.

Vector2& Ogre::Vector2::operator-= | ( | const Vector2 & | rkVector | ) |

Definition at line 254 of file OgreVector2.h.

References x, and y.

Vector2& Ogre::Vector2::operator-= | ( | const Real | fScaler | ) |

Definition at line 262 of file OgreVector2.h.

Vector2& Ogre::Vector2::operator*= | ( | const Real | fScalar | ) |

Definition at line 270 of file OgreVector2.h.

Vector2& Ogre::Vector2::operator*= | ( | const Vector2 & | rkVector | ) |

Definition at line 278 of file OgreVector2.h.

References x, and y.

Vector2& Ogre::Vector2::operator/= | ( | const Real | fScalar | ) |

Definition at line 286 of file OgreVector2.h.

Vector2& Ogre::Vector2::operator/= | ( | const Vector2 & | rkVector | ) |

Definition at line 298 of file OgreVector2.h.

References x, and y.

Real Ogre::Vector2::length | ( |  | ) | const

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.

Definition at line 313 of file OgreVector2.h.

References Ogre::Math::Sqrt().

Real Ogre::Vector2::squaredLength | ( |  | ) | const

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

Remarks:
  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.

Definition at line 328 of file OgreVector2.h.

Real Ogre::Vector2::dotProduct | ( | const Vector2 & | vec | ) | const

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

Remarks:
  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.

Definition at line 347 of file OgreVector2.h.

References x, and y.

Real Ogre::Vector2::normalise | ( |  | ) |

Normalises the vector.

Remarks:
  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.

Definition at line 361 of file OgreVector2.h.

References Ogre::Math::Sqrt().

Referenced by normalisedCopy().

Vector2 Ogre::Vector2::midPoint | ( | const Vector2 & | vec | ) | const

Returns a vector at a point half way between this and the passed in vector.

Definition at line 381 of file OgreVector2.h.

References x, and y.

bool Ogre::Vector2::operator< | ( | const Vector2 & | rhs | ) | const

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

Definition at line 391 of file OgreVector2.h.

References x, and y.

bool Ogre::Vector2::operator> | ( | const Vector2 & | rhs | ) | const

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

Definition at line 401 of file OgreVector2.h.

References x, and y.

void Ogre::Vector2::makeFloor | ( | const Vector2 & | cmp | ) |

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

Remarks:
  '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.

Definition at line 415 of file OgreVector2.h.

References x, and y.

void Ogre::Vector2::makeCeil | ( | const Vector2 & | cmp | ) |

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

Remarks:
  '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.

Definition at line 428 of file OgreVector2.h.

References x, and y.

Vector2 Ogre::Vector2::perpendicular | ( | void |  | ) | const

Generates a vector perpendicular to this vector (eg an 'up' vector).

Remarks:
  This method will return a vector which is perpendicular to this vector. There are an infinite number of possibilities but this method will guarantee to generate one of them. If you need more control you should use the Quaternion class.

Definition at line 441 of file OgreVector2.h.

Real Ogre::Vector2::crossProduct | ( | const Vector2 & | rkVector | ) | const

Calculates the 2 dimensional cross-product of 2 vectors, which results in a single floating point value which is 2 times the area of the triangle.

Definition at line 448 of file OgreVector2.h.

References x, and y.

Vector2 Ogre::Vector2::randomDeviant | ( | Real | angle | ) | const

Generates a new random vector which deviates from this vector by a given angle in a random direction.

Remarks:
  This method assumes that the random number generator has already been seeded appropriately.

Parameters:

  | angle | The angle at which to deviate in radians
  | up | Any vector perpendicular to this one (which could generated by cross-product of this vector and any other non-colinear vector). If you choose not to provide this the function will derive one on it's own, however if you provide one yourself the function will be faster (this allows you to reuse up vectors if you call this method more than once)

Returns:
  A random vector which deviates from this vector by angle. This vector will not be normalised, normalise it if you wish afterwards.

Definition at line 471 of file OgreVector2.h.

References Ogre::Math::TWO_PI, and Ogre::Math::UnitRandom().

bool Ogre::Vector2::isZeroLength | ( | void |  | ) | const

Returns true if this vector is zero length.

Definition at line 483 of file OgreVector2.h.

Vector2 Ogre::Vector2::normalisedCopy | ( | void |  | ) | const

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

Definition at line 492 of file OgreVector2.h.

References normalise().

Vector2 Ogre::Vector2::reflect | ( | const Vector2 & | normal | ) | const

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

Remarks:
  NB assumes 'this' is pointing AWAY FROM the plane, invert if it is not.

Definition at line 502 of file OgreVector2.h.

## Friends And Related Function Documentation

Vector2 operator* | ( | const Real | fScalar,
|  | const Vector2 & | rkVector |
| ) |  |  | `[friend]`

Definition at line 196 of file OgreVector2.h.

Vector2 operator/ | ( | const Real | fScalar,
|  | const Vector2 & | rkVector |
| ) |  |  | `[friend]`

Definition at line 203 of file OgreVector2.h.

Vector2 operator+ | ( | const Vector2 & | lhs,
|  | const Real | rhs |
| ) |  |  | `[friend]`

Definition at line 210 of file OgreVector2.h.

Vector2 operator+ | ( | const Real | lhs,
|  | const Vector2 & | rhs |
| ) |  |  | `[friend]`

Definition at line 217 of file OgreVector2.h.

Vector2 operator- | ( | const Vector2 & | lhs,
|  | const Real | rhs |
| ) |  |  | `[friend]`

Definition at line 224 of file OgreVector2.h.

Vector2 operator- | ( | const Real | lhs,
|  | const Vector2 & | rhs |
| ) |  |  | `[friend]`

Definition at line 231 of file OgreVector2.h.

_OgreExport friend std::ostream& operator<< | ( | std::ostream & | o,
|  | const Vector2 & | v |
| ) |  |  | `[friend]`

Function for writing to a stream.

Definition at line 518 of file OgreVector2.h.

## Member Data Documentation

Real Ogre::Vector2::x

Definition at line 49 of file OgreVector2.h.

Referenced by crossProduct(), dotProduct(), makeCeil(), makeFloor(), midPoint(), operator!=(), operator*(), operator*=(), operator+(), operator+=(), operator-(), operator-=(), operator/(), operator/=(), operator<(), operator=(), operator==(), and operator>().

Real Ogre::Vector2::y

Definition at line 49 of file OgreVector2.h.

Referenced by crossProduct(), dotProduct(), makeCeil(), makeFloor(), midPoint(), operator!=(), operator*(), operator*=(), operator+(), operator+=(), operator-(), operator-=(), operator/(), operator/=(), operator<(), operator=(), operator==(), and operator>().

const Vector2 Ogre::Vector2::ZERO `[static]`

Definition at line 508 of file OgreVector2.h.

const Vector2 Ogre::Vector2::UNIT_X `[static]`

Definition at line 509 of file OgreVector2.h.

const Vector2 Ogre::Vector2::UNIT_Y `[static]`

Definition at line 510 of file OgreVector2.h.

const Vector2 Ogre::Vector2::NEGATIVE_UNIT_X `[static]`

Definition at line 511 of file OgreVector2.h.

const Vector2 Ogre::Vector2::NEGATIVE_UNIT_Y `[static]`

Definition at line 512 of file OgreVector2.h.

const Vector2 Ogre::Vector2::UNIT_SCALE `[static]`

Definition at line 513 of file OgreVector2.h.

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

- OgreVector2.h

Copyright © 2008 Torus Knot Software Ltd
This work is licensed under a Creative Commons Attribution-ShareAlike 2.5 License.
Last modified Sun Jul 26 11:38:14 2009