# csVector3 Class Reference [Geometry utilities]

A 3D vector. More...

`#include <csgeom/vector3.h>`

List of all members.

## Public Member Functions

void Cross (const csVector3 &px, const csVector3 &py)
Take cross product of two vectors and put result in this vector.
csVector3 (const csDVector3 &)
Conversion from double precision vector to single.
csVector3 (const csVector3 &v)
Copy Constructor.
csVector3 (float ix, float iy, float iz=0)
Make a new vector and initialize with the given values.
csVector3 (float m)
Make a new initialized vector.
csVector3 ()
Make a new vector.
csString Description () const
Return a textual representation of the vector in the form "x,y,z".
size_t DominantAxis () const
Return index of the largest axis.
void Get (float *v)
Get the value of this vector.
bool IsZero (float precision=SMALL_EPSILON) const
Query if the vector is zero.
float Norm () const
Returns the norm of this vector.
void Normalize ()
Scale this vector to length = 1.0;.
csVector3operator *= (float f)
Multiply this vector by a scalar.
csVector3 operator+ () const
Unary + operator.
csVector3operator+= (const csVector3 &v)
Add another vector to this vector.
csVector3 operator- () const
Unary - operator.
csVector3operator-= (const csVector3 &v)
Subtract another vector from this vector.
csVector3operator/= (float f)
Divide this vector by a scalar.
float & operator[] (size_t n)
Returns n-th component of the vector.
float operator[] (size_t n) const
Returns n-th component of the vector.
void Set (float v)
Set the value of this vector so that all components are the same.
void Set (float const *v)
Set the value of this vector.
void Set (csVector3 const &v)
Set the value of this vector.
void Set (float sx, float sy, float sz)
Set the value of this vector.
float SquaredNorm () const
Return the squared norm (magnitude) of this vector.
csVector3 Unit () const
Returns the unit vector in the direction of this vector.
csVector3 UnitAxisClamped () const
Return a version of the vector clamped to closest unit vector (+-xyz).

## Static Public Member Functions

static float Norm (const csVector3 &v)
Returns the norm (magnitude) of a vector.
static csVector3 Unit (const csVector3 &v)
Normalizes a vector to a unit vector.

## Friends

csVector3 operator * (int f, const csVector3 &v)
Multiply a vector and a scalar int.
csVector3 operator * (const csVector3 &v, int f)
Multiply a vector and a scalar int.
csDVector3 operator * (double f, const csVector3 &v)
Multiply a vector and a scalar double. Upgrade v to DVector.
csDVector3 operator * (const csVector3 &v, double f)
Multiply a vector and a scalar double. Upgrade v to DVector.
csVector3 operator * (float f, const csVector3 &v)
Multiply a vector and a scalar.
csVector3 operator * (const csVector3 &v, float f)
Multiply a vector and a scalar.
float operator * (const csVector3 &v1, const csVector3 &v2)
Take the dot product of two vectors.
bool operator!= (const csVector3 &v1, const csVector3 &v2)
Check if two vectors are not equal.
csVector3 operator% (const csVector3 &v1, const csVector3 &v2)
Take the cross product of two vectors.
csDVector3 operator+ (const csVector3 &v1, const csDVector3 &v2)
Add two vectors of differing type, raise the csVector3 to DVector3.
csDVector3 operator+ (const csDVector3 &v1, const csVector3 &v2)
Add two vectors of differing type, raise the csVector3 to DVector3.
csVector3 operator+ (const csVector3 &v1, const csVector3 &v2)
csDVector3 operator- (const csDVector3 &v1, const csVector3 &v2)
Subtract two vectors of differing type, cast to double.
csDVector3 operator- (const csVector3 &v1, const csDVector3 &v2)
Subtract two vectors of differing type, cast to double.
csVector3 operator- (const csVector3 &v1, const csVector3 &v2)
Subtract two vectors.
csVector3 operator/ (const csVector3 &v, int f)
Divide a vector by a scalar int.
csDVector3 operator/ (const csVector3 &v, double f)
Divide a vector by a scalar double. Upgrade v to DVector.
csVector3 operator/ (const csVector3 &v, float f)
Divide a vector by a scalar.
bool operator< (const csVector3 &v, float f)
Test if each component of a vector is less than a small epsilon value.
csVector3 operator<< (const csVector3 &v1, const csVector3 &v2)
Project one vector onto another.
bool operator== (const csVector3 &v1, const csVector3 &v2)
Check if two vectors are equal.
bool operator> (float f, const csVector3 &v)
Test if each component of a vector is less than a small epsilon value.
csVector3 operator>> (const csVector3 &v1, const csVector3 &v2)
Project one vector onto another.

## Detailed Description

A 3D vector.

Definition at line 56 of file vector3.h.

## Constructor & Destructor Documentation

 csVector3::csVector3 ( ) ` [inline]`

Make a new vector.

Warning:
The vector is not initialized. This makes the code slightly faster as csVector3 objects are used a lot.

Definition at line 84 of file vector3.h.

 csVector3::csVector3 ( float m ) ` [inline]`

Make a new initialized vector.

Creates a new vector and initializes it to m*<1,1,1>. To create a vector initialized to the zero vector, use csVector3(0)

Definition at line 91 of file vector3.h.

 csVector3::csVector3 ( float ix, float iy, float iz = `0` ) ` [inline]`

Make a new vector and initialize with the given values.

Definition at line 94 of file vector3.h.

 csVector3::csVector3 ( const csVector3 & v ) ` [inline]`

Copy Constructor.

Definition at line 97 of file vector3.h.

 csVector3::csVector3 ( const csDVector3 & )

Conversion from double precision vector to single.

## Member Function Documentation

 void csVector3::Cross ( const csVector3 & px, const csVector3 & py ) ` [inline]`

Take cross product of two vectors and put result in this vector.

Definition at line 142 of file vector3.h.

References x, y, and z.

 csString csVector3::Description ( ) const

Return a textual representation of the vector in the form "x,y,z".

 size_t csVector3::DominantAxis ( ) const` [inline]`

Return index of the largest axis.

Definition at line 317 of file vector3.h.

References CS_AXIS_X, CS_AXIS_Y, and CS_AXIS_Z.

 void csVector3::Get ( float * v ) ` [inline]`

Get the value of this vector.

Definition at line 270 of file vector3.h.

 bool csVector3::IsZero ( float precision = `SMALL_EPSILON` ) const` [inline]`

Query if the vector is zero.

Definition at line 296 of file vector3.h.

 static float csVector3::Norm ( const csVector3 & v ) ` [inline, static]`

Returns the norm (magnitude) of a vector.

Definition at line 287 of file vector3.h.

References Norm().

 float csVector3::Norm ( ) const

Returns the norm of this vector.

Referenced by csMath3::DoubleArea3(), Norm(), and CS::Math::Ode45::Step().

 void csVector3::Normalize ( )

Scale this vector to length = 1.0;.

 csVector3& csVector3::operator *= ( float f ) ` [inline]`

Multiply this vector by a scalar.

Definition at line 244 of file vector3.h.

 csVector3 csVector3::operator+ ( ) const` [inline]`

Unary + operator.

Definition at line 252 of file vector3.h.

 csVector3& csVector3::operator+= ( const csVector3 & v ) ` [inline]`

Add another vector to this vector.

Definition at line 224 of file vector3.h.

References x, y, and z.

 csVector3 csVector3::operator- ( ) const` [inline]`

Unary - operator.

Definition at line 255 of file vector3.h.

 csVector3& csVector3::operator-= ( const csVector3 & v ) ` [inline]`

Subtract another vector from this vector.

Definition at line 234 of file vector3.h.

References x, y, and z.

 csVector3& csVector3::operator/= ( float f ) ` [inline]`

Divide this vector by a scalar.

Definition at line 248 of file vector3.h.

 float& csVector3::operator[] ( size_t n ) ` [inline]`

Returns n-th component of the vector.

Definition at line 220 of file vector3.h.

 float csVector3::operator[] ( size_t n ) const` [inline]`

Returns n-th component of the vector.

Definition at line 213 of file vector3.h.

 void csVector3::Set ( float v ) ` [inline]`

Set the value of this vector so that all components are the same.

Definition at line 267 of file vector3.h.

 void csVector3::Set ( float const * v ) ` [inline]`

Set the value of this vector.

Definition at line 264 of file vector3.h.

 void csVector3::Set ( csVector3 const & v ) ` [inline]`

Set the value of this vector.

Definition at line 261 of file vector3.h.

References x, y, and z.

 void csVector3::Set ( float sx, float sy, float sz ) ` [inline]`

Set the value of this vector.

Definition at line 258 of file vector3.h.

 float csVector3::SquaredNorm ( ) const` [inline]`

Return the squared norm (magnitude) of this vector.

Definition at line 276 of file vector3.h.

 static csVector3 csVector3::Unit ( const csVector3 & v ) ` [inline, static]`

Normalizes a vector to a unit vector.

Definition at line 290 of file vector3.h.

References Unit().

 csVector3 csVector3::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 284 of file vector3.h.

 csVector3 csVector3::UnitAxisClamped ( ) const` [inline]`

Return a version of the vector clamped to closest unit vector (+-xyz).

Definition at line 303 of file vector3.h.

## Friends And Related Function Documentation

 csVector3 operator * ( int f, const csVector3 & v ) ` [friend]`

Multiply a vector and a scalar int.

Definition at line 170 of file vector3.h.

 csVector3 operator * ( const csVector3 & v, int f ) ` [friend]`

Multiply a vector and a scalar int.

Definition at line 166 of file vector3.h.

 csDVector3 operator * ( double f, const csVector3 & v ) ` [friend]`

Multiply a vector and a scalar double. Upgrade v to DVector.

Definition at line 162 of file vector3.h.

 csDVector3 operator * ( const csVector3 & v, double f ) ` [friend]`

Multiply a vector and a scalar double. Upgrade v to DVector.

Definition at line 158 of file vector3.h.

 csVector3 operator * ( float f, const csVector3 & v ) ` [friend]`

Multiply a vector and a scalar.

Definition at line 154 of file vector3.h.

 csVector3 operator * ( const csVector3 & v, float f ) ` [friend]`

Multiply a vector and a scalar.

Definition at line 150 of file vector3.h.

 float operator * ( const csVector3 & v1, const csVector3 & v2 ) ` [friend]`

Take the dot product of two vectors.

Definition at line 130 of file vector3.h.

 bool operator!= ( const csVector3 & v1, const csVector3 & v2 ) ` [friend]`

Check if two vectors are not equal.

Definition at line 190 of file vector3.h.

 csVector3 operator% ( const csVector3 & v1, const csVector3 & v2 ) ` [friend]`

Take the cross product of two vectors.

Definition at line 134 of file vector3.h.

 csDVector3 operator+ ( const csVector3 & v1, const csDVector3 & v2 ) ` [friend]`

Add two vectors of differing type, raise the csVector3 to DVector3.

Definition at line 114 of file vector3.h.

 csDVector3 operator+ ( const csDVector3 & v1, const csVector3 & v2 ) ` [friend]`

Add two vectors of differing type, raise the csVector3 to DVector3.

Definition at line 110 of file vector3.h.

 csVector3 operator+ ( const csVector3 & v1, const csVector3 & v2 ) ` [friend]`

Definition at line 106 of file vector3.h.

 csDVector3 operator- ( const csDVector3 & v1, const csVector3 & v2 ) ` [friend]`

Subtract two vectors of differing type, cast to double.

Definition at line 126 of file vector3.h.

 csDVector3 operator- ( const csVector3 & v1, const csDVector3 & v2 ) ` [friend]`

Subtract two vectors of differing type, cast to double.

Definition at line 122 of file vector3.h.

 csVector3 operator- ( const csVector3 & v1, const csVector3 & v2 ) ` [friend]`

Subtract two vectors.

Definition at line 118 of file vector3.h.

 csVector3 operator/ ( const csVector3 & v, int f ) ` [friend]`

Divide a vector by a scalar int.

Definition at line 182 of file vector3.h.

 csDVector3 operator/ ( const csVector3 & v, double f ) ` [friend]`

Divide a vector by a scalar double. Upgrade v to DVector.

Definition at line 178 of file vector3.h.

 csVector3 operator/ ( const csVector3 & v, float f ) ` [friend]`

Divide a vector by a scalar.

Definition at line 174 of file vector3.h.

 bool operator< ( const csVector3 & v, float f ) ` [friend]`

Test if each component of a vector is less than a small epsilon value.

Definition at line 202 of file vector3.h.

 csVector3 operator<< ( const csVector3 & v1, const csVector3 & v2 ) ` [friend]`

Project one vector onto another.

Definition at line 198 of file vector3.h.

 bool operator== ( const csVector3 & v1, const csVector3 & v2 ) ` [friend]`

Check if two vectors are equal.

Definition at line 186 of file vector3.h.

 bool operator> ( float f, const csVector3 & v ) ` [friend]`

Test if each component of a vector is less than a small epsilon value.

Definition at line 206 of file vector3.h.

 csVector3 operator>> ( const csVector3 & v1, const csVector3 & v2 ) ` [friend]`

Project one vector onto another.

Definition at line 194 of file vector3.h.

## Member Data Documentation

 float csVector3::m[3]

All components.

Definition at line 75 of file vector3.h.

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

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