The Nebula Device 3: Math::point Class Reference

The Nebula Device 3

Math::point Class Reference

#include <xna_point.h>

Inheritance diagram for Math::point:

Math::float4

Detailed Description

A point in homogenous space. A point describes a position in space, and has its W component set to 1.0.

(C) 2007 Radon Labs GmbH

Public Member Functions

 point ()
 default constructor
 point (scalar x, scalar y, scalar z)
 construct from components
 point (const float4 &rhs)
 construct from float4
 point (XMVECTOR rhs)
 construct from XMVECTOR
void operator= (const point &rhs)
 assignment operator
void operator= (XMVECTOR rhs)
 assign XMVECTOR
void operator+= (const vector &rhs)
 inplace add vector
void operator-= (const vector &rhs)
 inplace subtract vector
point operator+ (const vector &rhs) const
 add point and vector
point operator- (const vector &rhs) const
 subtract vectors from point
vector operator- (const point &rhs) const
 subtract point from point into a vector
bool operator== (const point &rhs) const
 equality operator
bool operator!= (const point &rhs) const
 inequality operator
void set (scalar x, scalar y, scalar z)
 set components
float4 operator- () const
 flip sign
float4 operator- (const float4 &rhs) const
 subtract 2 vectors
void operator+= (const float4 &rhs)
 inplace add
void operator-= (const float4 &rhs)
 inplace sub
void operator *= (scalar s)
 inplace scalar multiply
void operator *= (const float4 &rhs)
 muliply by a vector component-wise
float4 operator+ (const float4 &rhs) const
 add 2 vectors
float4 operator * (scalar s) const
 multiply with scalar
bool operator== (const float4 &rhs) const
 equality operator
bool operator!= (const float4 &rhs) const
 inequality operator
void load (const scalar *ptr)
 load content from 16-byte-aligned memory
void loadu (const scalar *ptr)
 load content from unaligned memory
void store (scalar *ptr) const
 write content to 16-byte-aligned memory through the write cache
void storeu (scalar *ptr) const
 write content to unaligned memory through the write cache
void stream (scalar *ptr) const
 stream content to 16-byte-aligned memory circumventing the write-cache
void load_float3 (const void *ptr, float w)
 load 3 floats into x,y,z from unaligned memory
void load_ubyte4n_signed (const void *ptr, float w)
 load from UByte4N packed vector, move range to -1..+1
void set (scalar x, scalar y, scalar z, scalar w)
 set content
void set_x (scalar x)
 set the x component
void set_y (scalar y)
 set the y component
void set_z (scalar z)
 set the z component
void set_w (scalar w)
 set the w component
scalar & x ()
 read/write access to x component
scalar x () const
 read-only access to x component
scalar & y ()
 read/write access to y component
scalar y () const
 read-only access to y component
scalar & z ()
 read/write access to z component
scalar z () const
 read-only access to z component
scalar & w ()
 read/write access to w component
scalar w () const
 read-only access to w component
scalar length () const
 return length of vector
scalar lengthsq () const
 return squared length of vector
float4 abs () const
 return compononent-wise absolute

Static Public Member Functions

static point origin ()
 return a point at the origin (0, 0, 0)
static float4 reciprocal (const float4 &v)
 return 1.0 / vec
static float4 multiply (const float4 &v0, const float4 &v1)
 component-wise multiplication
static float4 cross3 (const float4 &v0, const float4 &v1)
 return 3-dimensional cross product
static scalar dot3 (const float4 &v0, const float4 &v1)
 return 3d dot product of vectors
static float4 barycentric (const float4 &v0, const float4 &v1, const float4 &v2, scalar f, scalar g)
 return point in barycentric coordinates
static float4 catmullrom (const float4 &v0, const float4 &v1, const float4 &v2, const float4 &v3, scalar s)
 perform Catmull-Rom interpolation
static float4 hermite (const float4 &v1, const float4 &t1, const float4 &v2, const float4 &t2, scalar s)
 perform Hermite spline interpolation
static float4 lerp (const float4 &v0, const float4 &v1, scalar s)
 perform linear interpolation between 2 4d vectors
static float4 maximize (const float4 &v0, const float4 &v1)
 return 4d vector made up of largest components of 2 vectors
static float4 minimize (const float4 &v0, const float4 &v1)
 return 4d vector made up of smallest components of 2 vectors
static float4 normalize (const float4 &v)
 return normalized version of 4d vector
static __declspec (deprecated) float4 transform(__Float4Arg v
 transform 4d vector by matrix44
static float4 reflect (const float4 &normal, const float4 &incident)
 reflect a vector v
static float4 clamp (__Float4Arg Clamp, __Float4Arg vMin, __Float4Arg vMax)
 clamp to min/max vector
static scalar angle (__Float4Arg v0, __Float4Arg v1)
 angle between two vectors
static bool less3_any (const float4 &v0, const float4 &v1)
 return true if any XYZ component is less-then
static bool less3_all (const float4 &v0, const float4 &v1)
 return true if all XYZ components are less-then
static bool lessequal3_any (const float4 &v0, const float4 &v1)
 return true if any XYZ component is less-or-equal
static bool lessequal3_all (const float4 &v0, const float4 &v1)
 return true if all XYZ components are less-or-equal
static bool greater3_any (const float4 &v0, const float4 &v1)
 return true if any XYZ component is greater
static bool greater3_all (const float4 &v0, const float4 &v1)
 return true if all XYZ components are greater
static bool greaterequal3_any (const float4 &v0, const float4 &v1)
 return true if any XYZ component is greater-or-equal
static bool greaterequal3_all (const float4 &v0, const float4 &v1)
 return true if all XYZ components are greater-or-equal
static bool equal3_any (const float4 &v0, const float4 &v1)
 return true if any XYZ component is equal
static bool equal3_all (const float4 &v0, const float4 &v1)
 return true if all XYZ components are equal
static bool nearequal3 (const float4 &v0, const float4 &v1, const float4 &epsilon)
 perform near equal comparison with given epsilon (3 components)
static bool less4_any (const float4 &v0, const float4 &v1)
 return true if any XYZW component is less-then
static bool less4_all (const float4 &v0, const float4 &v1)
 return true if all XYZW components are less-then
static bool lessequal4_any (const float4 &v0, const float4 &v1)
 return true if any XYZW component is less-or-equal
static bool lessequal4_all (const float4 &v0, const float4 &v1)
 return true if all XYZW components are less-or-equal
static bool greater4_any (const float4 &v0, const float4 &v1)
 return true if any XYZW component is greater
static bool greater4_all (const float4 &v0, const float4 &v1)
 return true if all XYZW components are greater
static bool greaterequal4_any (const float4 &v0, const float4 &v1)
 return true if any XYZW component is greater-or-equal
static bool greaterequal4_all (const float4 &v0, const float4 &v1)
 return true if all XYZW components are greater-or-equal
static bool equal4_any (const float4 &v0, const float4 &v1)
 return true if any XYZW component is equal
static bool equal4_all (const float4 &v0, const float4 &v1)
 return true if all XYZW components are equal
static bool nearequal4 (const float4 &v0, const float4 &v1, const float4 &epsilon)
 perform near equal comparison with given epsilon (4 components)
static float unpack_x (XMVECTOR v)
 unpack the first element from a XMVECTOR
static float unpack_y (XMVECTOR v)
 unpack the second element from a XMVECTOR
static float unpack_z (XMVECTOR v)
 unpack the third element from a XMVECTOR
static float unpack_w (XMVECTOR v)
 unpack the fourth element from a XMVECTOR
static float4 splat (scalar s)
 splat scalar into each component of a vector
static float4 splat (const float4 &v, uint element)
 return a vector with all elements set to element n of v. 0 <= element <= 3
static float4 splat_x (const float4 &v)
 return a vector with all elements set to v.x
static float4 splat_y (const float4 &v)
 return a vector with all elements set to v.y
static float4 splat_z (const float4 &v)
 return a vector with all elements set to v.z
static float4 splat_w (const float4 &v)
 return a vector with all elements set to v.w
static float4 permute_control (unsigned int i0, unsigned int i1, unsigned int i2, unsigned int i3)
 return control vector for permute (see XMVectorPermuteControl for details)
static float4 permute (const float4 &v0, const float4 &v1, const float4 &control)
 merge components of 2 vectors into 1 (see XMVectorPermute for details)

Constructor & Destructor Documentation

__forceinline Math::point::point ( XMVECTOR  rhs  ) 

construct from XMVECTOR

!!!! copy constructor forbidden, otherwise passing point's to a function !!!! via Registers doesnt work


Member Function Documentation

__forceinline void Math::float4::load ( const scalar *  ptr  )  [inherited]

load content from 16-byte-aligned memory

Load 4 floats from 16-byte-aligned memory.

__forceinline void Math::float4::loadu ( const scalar *  ptr  )  [inherited]

load content from unaligned memory

Load 4 floats from unaligned memory.

__forceinline void Math::float4::store ( scalar *  ptr  )  const [inherited]

write content to 16-byte-aligned memory through the write cache

Store to 16-byte-aligned float pointer.

__forceinline void Math::float4::storeu ( scalar *  ptr  )  const [inherited]

write content to unaligned memory through the write cache

Store to non-aligned float pointer.