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# csVector4T< T > Class Template Reference
[Geometry utilities]

A 4D vector with variable type components. More...

`#include <csgeom/vector4.h>`

List of all members.

## Public Member Functions

void | Cross (const csVector4T &v1, const csVector4T &v2)
| Take cross product of two vectors and put result in this vector.
| csVector4T (const csVector3 &v)
| Convert from a three-component vector. w is set to 1.
| csVector4T (const csVector4T &v)
| Copy Constructor.
| csVector4T (const T &ix, const T &iy, const T &iz=T(0), const T &iw=T(1))
| Make a new vector and initialize with the given values.
| csVector4T (const T &m)
| Make a new initialized vector.
| csVector4T ()
| Make a new vector.
csString | Description () const
| Return a textual representation of the vector in the form "x,y,z,w".
void | Get (T *v)
| Get the value of this vector.
bool | IsZero (T precision=SMALL_EPSILON) const
| Query if the vector is zero.
T | Norm () const
| Returns the norm of this vector.
void | Normalize ()
| Scale this vector to length = 1.0;.
csVector4T & | operator *= (T f)
| Multiply this vector by a scalar.
csVector4T | operator+ () const
| Unary + operator.
csVector4T & | operator+= (const csVector4T &v)
| Add another vector to this vector.
csVector4T | operator- () const
| Unary - operator.
csVector4T & | operator-= (const csVector4T &v)
| Subtract another vector from this vector.
csVector4T & | operator/= (T f)
| Divide this vector by a scalar.
template<typename T2>
csVector4T & | operator= (const csVector4T< T2 > &other)
| Assignment operator.
float & | operator[] (int n)
| Returns n-th component of the vector.
float | operator[] (int n) const
| Returns n-th component of the vector.
void | Set (T v)
| Set the value of this vector so that all components are the same.
void | Set (T const *v)
| Set the value of this vector.
void | Set (csVector4T const &v)
| Set the value of this vector.
void | Set (T sx, T sy, T sz, T sw)
| Set the value of this vector.
T | SquaredNorm () const
| Return the squared norm (magnitude) of this vector.
csVector4T | Unit () const
| Returns the unit vector in the direction of this vector.

## Static Public Member Functions

static T | Norm (const csVector4T &v)
| Returns the norm (magnitude) of a vector.
static csVector4T | Unit (const csVector4T &v)
| Normalizes a vector to a unit vector.

## Friends

csVector4T | operator * (int f, const csVector4T &v)
| Multiply a vector and a scalar int.
csVector4T | operator * (const csVector4T &v, int f)
| Multiply a vector and a scalar int.
csVector4T | operator * (float f, const csVector4T &v)
| Multiply a vector and a scalar.
csVector4T | operator * (const csVector4T &v, T f)
| Multiply a vector and a scalar.
float | operator * (const csVector4T &v1, const csVector4T &v2)
| Take the dot product of two vectors.
bool | operator!= (const csVector4T &v1, const csVector4T &v2)
| Check if two vectors are not equal.
csVector4T | operator% (const csVector4T &v1, const csVector4T &v2)
| Take the cross product of two vectors.
csVector4T | operator+ (const csVector4T &v1, const csVector4T &v2)
| Add two vectors.
csVector4T | operator- (const csVector4T &v1, const csVector4T &v2)
| Subtract two vectors.
csVector4T | operator/ (const csVector4T &v, int f)
| Divide a vector by a scalar int.
csVector4T | operator/ (const csVector4T &v, T f)
| Divide a vector by a scalar.
bool | operator< (const csVector4T &v, float f)
| Test if each component of a vector is less than a small epsilon value.
csVector4T | operator<< (const csVector4T &v1, const csVector4T &v2)
| Project one vector onto another.
bool | operator== (const csVector4T &v1, const csVector4T &v2)
| Check if two vectors are equal.
bool | operator> (float f, const csVector4T &v)
| Test if each component of a vector is less than a small epsilon value.
csVector4T | operator>> (const csVector4T &v1, const csVector4T &v2)
| Project one vector onto another.

## Detailed Description

### template<typename T>
class csVector4T< T >

A 4D vector with variable type components.

Definition at line 40 of file vector4.h.

## Constructor & Destructor Documentation

template<typename T>
csVector4T< T >::csVector4T | ( |  | ) | `[inline]`

| Make a new vector. The vector is not initialized. This makes the code slightly faster. Definition at line 72 of file vector4.h.

template<typename T>
csVector4T< T >::csVector4T | ( | const T & | m | ) | `[inline]`

| Make a new initialized vector. Creates a new vector and initializes it to m*<1,1,1,1>. To create a vector initialized to the zero vector, use csVector4(0) Definition at line 79 of file vector4.h.

template<typename T>
csVector4T< T >::csVector4T | ( | const T & | ix,
|  | const T & | iy,
|  | const T & | iz = `T(0)`,
|  | const T & | iw = `T(1)`
| ) | `[inline]`

| Make a new vector and initialize with the given values. Definition at line 82 of file vector4.h.

template<typename T>
csVector4T< T >::csVector4T | ( | const csVector4T< T > & | v | ) | `[inline]`

| Copy Constructor. Definition at line 87 of file vector4.h.

template<typename T>
csVector4T< T >::csVector4T | ( | const csVector3 & | v | ) | `[inline]`

| Convert from a three-component vector. w is set to 1. Definition at line 90 of file vector4.h.

## Member Function Documentation

template<typename T>
void csVector4T< T >::Cross | ( | const csVector4T< T > & | v1,
|  | const csVector4T< T > & | v2
| ) | `[inline]`

| Take cross product of two vectors and put result in this vector. Definition at line 139 of file vector4.h.

template<typename T>
csString csVector4T< T >::Description | ( |  | ) | const`[inline]`

| Return a textual representation of the vector in the form "x,y,z,w". Definition at line 104 of file vector4.h.

template<typename T>
void csVector4T< T >::Get | ( | T * | v | ) | `[inline]`

| Get the value of this vector. Definition at line 261 of file vector4.h.

template<typename T>
bool csVector4T< T >::IsZero | ( | T | precision = `SMALL_EPSILON` | ) | const`[inline]`

| Query if the vector is zero. Definition at line 295 of file vector4.h.

template<typename T>
static T csVector4T< T >::Norm | ( | const csVector4T< T > & | v | ) | `[inline, static]`

| Returns the norm (magnitude) of a vector. Definition at line 278 of file vector4.h.

template<typename T>
T csVector4T< T >::Norm | ( |  | ) | const`[inline]`

| Returns the norm of this vector. Definition at line 264 of file vector4.h. Referenced by csVector4T< float >::Norm(), and csVector4T< float >::Unit().

template<typename T>
void csVector4T< T >::Normalize | ( |  | ) | `[inline]`

| Scale this vector to length = 1.0;. Definition at line 284 of file vector4.h.

template<typename T>
csVector4T& csVector4T< T >::operator *= | ( | T | f | ) | `[inline]`

| Multiply this vector by a scalar. Definition at line 234 of file vector4.h.

template<typename T>
csVector4T csVector4T< T >::operator+ | ( |  | ) | const`[inline]`

| Unary + operator. Definition at line 242 of file vector4.h.

template<typename T>
csVector4T& csVector4T< T >::operator+= | ( | const csVector4T< T > & | v | ) | `[inline]`

| Add another vector to this vector. Definition at line 212 of file vector4.h.

template<typename T>
csVector4T csVector4T< T >::operator- | ( |  | ) | const`[inline]`

| Unary - operator. Definition at line 245 of file vector4.h.

template<typename T>
csVector4T& csVector4T< T >::operator-= | ( | const csVector4T< T > & | v | ) | `[inline]`

| Subtract another vector from this vector. Definition at line 223 of file vector4.h.

template<typename T>
csVector4T& csVector4T< T >::operator/= | ( | T | f | ) | `[inline]`

| Divide this vector by a scalar. Definition at line 238 of file vector4.h.

template<typename T>
template<typename T2>
csVector4T& csVector4T< T >::operator= | ( | const csVector4T< T2 > & | other | ) | `[inline]`

| Assignment operator. Definition at line 94 of file vector4.h.

template<typename T>
float& csVector4T< T >::operator[] | ( | int | n | ) | `[inline]`

| Returns n-th component of the vector. Definition at line 208 of file vector4.h.

template<typename T>
float csVector4T< T >::operator[] | ( | int | n | ) | const`[inline]`

| Returns n-th component of the vector. Definition at line 200 of file vector4.h.

template<typename T>
void csVector4T< T >::Set | ( | T | v | ) | `[inline]`

| Set the value of this vector so that all components are the same. Definition at line 258 of file vector4.h.

template<typename T>
void csVector4T< T >::Set | ( | T const * | v | ) | `[inline]`

| Set the value of this vector. Definition at line 255 of file vector4.h.

template<typename T>
void csVector4T< T >::Set | ( | csVector4T< T > const & | v | ) | `[inline]`

| Set the value of this vector. Definition at line 252 of file vector4.h.

template<typename T>
void csVector4T< T >::Set | ( | T | sx,
|  | T | sy,
|  | T | sz,
|  | T | sw
| ) | `[inline]`

| Set the value of this vector. Definition at line 248 of file vector4.h.

template<typename T>
T csVector4T< T >::SquaredNorm | ( |  | ) | const`[inline]`

| Return the squared norm (magnitude) of this vector. Definition at line 267 of file vector4.h.

template<typename T>
static csVector4T csVector4T< T >::Unit | ( | const csVector4T< T > & | v | ) | `[inline, static]`

| Normalizes a vector to a unit vector. Definition at line 281 of file vector4.h.

template<typename T>
csVector4T csVector4T< T >::Unit | ( |  | ) | const`[inline]`

| Returns the unit vector in the direction of this vector. Attempting to normalize a zero-vector will result in a divide by zero error. This is as it should be... fix the calling code. Definition at line 275 of file vector4.h. Referenced by csVector4T< float >::Unit().

## Friends And Related Function Documentation

template<typename T>
csVector4T operator * | ( | int | f,
|  | const csVector4T< T > & | v
| ) | `[friend]`

| Multiply a vector and a scalar int. Definition at line 160 of file vector4.h.

template<typename T>
csVector4T operator * | ( | const csVector4T< T > & | v,
|  | int | f
| ) | `[friend]`

| Multiply a vector and a scalar int. Definition at line 156 of file vector4.h.

template<typename T>
csVector4T operator * | ( | float | f,
|  | const csVector4T< T > & | v
| ) | `[friend]`

| Multiply a vector and a scalar. Definition at line 152 of file vector4.h.

template<typename T>
csVector4T operator * | ( | const csVector4T< T > & | v,
|  | T | f
| ) | `[friend]`

| Multiply a vector and a scalar. Definition at line 148 of file vector4.h.

template<typename T>
float operator * | ( | const csVector4T< T > & | v1,
|  | const csVector4T< T > & | v2
| ) | `[friend]`

| Take the dot product of two vectors. Definition at line 123 of file vector4.h.

template<typename T>
bool operator!= | ( | const csVector4T< T > & | v1,
|  | const csVector4T< T > & | v2
| ) | `[friend]`

| Check if two vectors are not equal. Definition at line 176 of file vector4.h.

template<typename T>
csVector4T operator% | ( | const csVector4T< T > & | v1,
|  | const csVector4T< T > & | v2
| ) | `[friend]`

| Take the cross product of two vectors. Definition at line 128 of file vector4.h.

template<typename T>
csVector4T operator+ | ( | const csVector4T< T > & | v1,
|  | const csVector4T< T > & | v2
| ) | `[friend]`

| Add two vectors. Definition at line 112 of file vector4.h.

template<typename T>
csVector4T operator- | ( | const csVector4T< T > & | v1,
|  | const csVector4T< T > & | v2
| ) | `[friend]`

| Subtract two vectors. Definition at line 117 of file vector4.h.

template<typename T>
csVector4T operator/ | ( | const csVector4T< T > & | v,
|  | int | f
| ) | `[friend]`

| Divide a vector by a scalar int. Definition at line 168 of file vector4.h.

template<typename T>
csVector4T operator/ | ( | const csVector4T< T > & | v,
|  | T | f
| ) | `[friend]`

| Divide a vector by a scalar. Definition at line 164 of file vector4.h.

template<typename T>
bool operator< | ( | const csVector4T< T > & | v,
|  | float | f
| ) | `[friend]`

| Test if each component of a vector is less than a small epsilon value. Definition at line 188 of file vector4.h.

template<typename T>
csVector4T operator<< | ( | const csVector4T< T > & | v1,
|  | const csVector4T< T > & | v2
| ) | `[friend]`

| Project one vector onto another. Definition at line 184 of file vector4.h.

template<typename T>
bool operator== | ( | const csVector4T< T > & | v1,
|  | const csVector4T< T > & | v2
| ) | `[friend]`

| Check if two vectors are equal. Definition at line 172 of file vector4.h.

template<typename T>
bool operator> | ( | float | f,
|  | const csVector4T< T > & | v
| ) | `[friend]`

| Test if each component of a vector is less than a small epsilon value. Definition at line 192 of file vector4.h.

template<typename T>
csVector4T operator>> | ( | const csVector4T< T > & | v1,
|  | const csVector4T< T > & | v2
| ) | `[friend]`

| Project one vector onto another. Definition at line 180 of file vector4.h.

## Member Data Documentation

template<typename T>
T csVector4T< T >::m[4]

| All components. Definition at line 60 of file vector4.h. Referenced by csVector4T< float >::operator[]().

template<typename T>
T csVector4T< T >::w

The W component of the vector.

Definition at line 56 of file vector4.h.

Referenced by csVector4T< float >::Cross(), csVector4T< float >::Description(), csVector4T< float >::Get(), csVector4T< float >::IsZero(), csVector4T< float >::Norm(), csVector4T< float >::Normalize(), csVector4T< float >::operator *=(), csVector4T< float >::operator+=(), csVector4T< float >::operator-(), csVector4T< float >::operator-=(), csVector4T< float >::operator/=(), csVector4::operator=(), csVector4T< float >::operator=(), csVector4T< float >::Set(), csShaderVariable::SetValue(), and csVector4T< float >::SquaredNorm().

template<typename T>
T csVector4T< T >::x

The X component of the vector.

Definition at line 50 of file vector4.h.

Referenced by csVector4T< float >::Cross(), csVector4T< float >::Description(), csVector4T< float >::Get(), csVector4T< float >::IsZero(), csVector4T< float >::Norm(), csVector4T< float >::Normalize(), csVector4T< float >::operator *=(), csVector4T< float >::operator+=(), csVector4T< float >::operator-(), csVector4T< float >::operator-=(), csVector4T< float >::operator/=(), csVector4::operator=(), csVector4T< float >::operator=(), csVector4T< float >::Set(), csShaderVariable::SetValue(), and csVector4T< float >::SquaredNorm().

template<typename T>
T csVector4T< T >::y

The Y component of the vector.

Definition at line 52 of file vector4.h.

Referenced by csVector4T< float >::Cross(), csVector4T< float >::Description(), csVector4T< float >::Get(), csVector4T< float >::IsZero(), csVector4T< float >::Norm(), csVector4T< float >::Normalize(), csVector4T< float >::operator *=(), csVector4T< float >::operator+=(), csVector4T< float >::operator-(), csVector4T< float >::operator-=(), csVector4T< float >::operator/=(), csVector4::operator=(), csVector4T< float >::operator=(), csVector4T< float >::Set(), csShaderVariable::SetValue(), and csVector4T< float >::SquaredNorm().

template<typename T>
T csVector4T< T >::z

The Z component of the vector.

Definition at line 54 of file vector4.h.

Referenced by csVector4T< float >::Cross(), csVector4T< float >::Description(), csVector4T< float >::Get(), csVector4T< float >::IsZero(), csVector4T< float >::Norm(), csVector4T< float >::Normalize(), csVector4T< float >::operator *=(), csVector4T< float >::operator+=(), csVector4T< float >::operator-(), csVector4T< float >::operator-=(), csVector4T< float >::operator/=(), csVector4::operator=(), csVector4T< float >::operator=(), csVector4T< float >::Set(), csShaderVariable::SetValue(), and csVector4T< float >::SquaredNorm().

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

- csgeom/vector4.h