d3dxmath.h

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//////////////////////////////////////////////////////////////////////////////
//
//  Copyright (C) Microsoft Corporation.  All Rights Reserved.
//
//  File:       d3dxmath.h
//  Content:    D3DX math types and functions
//
//////////////////////////////////////////////////////////////////////////////

#ifndef __D3DXMATH_H__
#define __D3DXMATH_H__

#include <d3d.h>
#include <math.h>
#include <limits.h>
#include "d3dxerr.h"

#ifndef D3DXINLINE
#ifdef __cplusplus
#define D3DXINLINE inline
#else
#define D3DXINLINE _inline
#endif
#endif

#pragma warning(disable:4201) // anonymous unions warning



typedef struct ID3DXMatrixStack *LPD3DXMATRIXSTACK;

// {E3357330-CC5E-11d2-A434-00A0C90629A8}
DEFINE_GUID( IID_ID3DXMatrixStack,
             0xe3357330, 0xcc5e, 0x11d2, 0xa4, 0x34, 0x0, 0xa0, 0xc9, 0x6, 0x29, 0xa8);


//===========================================================================
//
// General purpose utilities
//
//===========================================================================
#define D3DX_PI    ((float)  3.141592654f)
#define D3DX_1BYPI ((float)  0.318309886f)

#define D3DXToRadian( degree ) ((degree) * (D3DX_PI / 180.0f))
#define D3DXToDegree( radian ) ((radian) * (180.0f / D3DX_PI))



//===========================================================================
//
// Vectors
//
//===========================================================================

//--------------------------
// 2D Vector
//--------------------------
typedef struct D3DXVECTOR2
{
#ifdef __cplusplus
public:
    D3DXVECTOR2() {};
    D3DXVECTOR2( const float * );
    D3DXVECTOR2( float x, float y );

    // casting
    operator float* ();
    operator const float* () const;

    // assignment operators
    D3DXVECTOR2& operator += ( const D3DXVECTOR2& );
    D3DXVECTOR2& operator -= ( const D3DXVECTOR2& );
    D3DXVECTOR2& operator *= ( float );
    D3DXVECTOR2& operator /= ( float );

    // unary operators
    D3DXVECTOR2 operator + () const;
    D3DXVECTOR2 operator - () const;

    // binary operators
    D3DXVECTOR2 operator + ( const D3DXVECTOR2& ) const;
    D3DXVECTOR2 operator - ( const D3DXVECTOR2& ) const;
    D3DXVECTOR2 operator * ( float ) const;
    D3DXVECTOR2 operator / ( float ) const;

    friend D3DXVECTOR2 operator * ( float, const D3DXVECTOR2& );

    BOOL operator == ( const D3DXVECTOR2& ) const;
    BOOL operator != ( const D3DXVECTOR2& ) const;


public:
#endif //__cplusplus
    float x, y;
} D3DXVECTOR2, *LPD3DXVECTOR2;


//--------------------------
// 3D Vector
//--------------------------
typedef struct D3DXVECTOR3
{
#ifdef __cplusplus
public:
    D3DXVECTOR3() {};
    D3DXVECTOR3( const float * );
    D3DXVECTOR3( const D3DVECTOR& );
    D3DXVECTOR3( float x, float y, float z );

    // casting
    operator float* ();
    operator const float* () const;

    operator D3DVECTOR* ();
    operator const D3DVECTOR* () const;

    operator D3DVECTOR& ();
    operator const D3DVECTOR& () const;

    // assignment operators
    D3DXVECTOR3& operator += ( const D3DXVECTOR3& );
    D3DXVECTOR3& operator -= ( const D3DXVECTOR3& );
    D3DXVECTOR3& operator *= ( float );
    D3DXVECTOR3& operator /= ( float );

    // unary operators
    D3DXVECTOR3 operator + () const;
    D3DXVECTOR3 operator - () const;

    // binary operators
    D3DXVECTOR3 operator + ( const D3DXVECTOR3& ) const;
    D3DXVECTOR3 operator - ( const D3DXVECTOR3& ) const;
    D3DXVECTOR3 operator * ( float ) const;
    D3DXVECTOR3 operator / ( float ) const;

    friend D3DXVECTOR3 operator * ( float, const struct D3DXVECTOR3& );

    BOOL operator == ( const D3DXVECTOR3& ) const;
    BOOL operator != ( const D3DXVECTOR3& ) const;

public:
#endif //__cplusplus
    float x, y, z;
} D3DXVECTOR3, *LPD3DXVECTOR3;


//--------------------------
// 4D Vector
//--------------------------
typedef struct D3DXVECTOR4
{
#ifdef __cplusplus
public:
    D3DXVECTOR4() {};
    D3DXVECTOR4( const float* );
    D3DXVECTOR4( float x, float y, float z, float w );

    // casting
    operator float* ();
    operator const float* () const;

    // assignment operators
    D3DXVECTOR4& operator += ( const D3DXVECTOR4& );
    D3DXVECTOR4& operator -= ( const D3DXVECTOR4& );
    D3DXVECTOR4& operator *= ( float );
    D3DXVECTOR4& operator /= ( float );

    // unary operators
    D3DXVECTOR4 operator + () const;
    D3DXVECTOR4 operator - () const;

    // binary operators
    D3DXVECTOR4 operator + ( const D3DXVECTOR4& ) const;
    D3DXVECTOR4 operator - ( const D3DXVECTOR4& ) const;
    D3DXVECTOR4 operator * ( float ) const;
    D3DXVECTOR4 operator / ( float ) const;

    friend D3DXVECTOR4 operator * ( float, const D3DXVECTOR4& );

    BOOL operator == ( const D3DXVECTOR4& ) const;
    BOOL operator != ( const D3DXVECTOR4& ) const;

public:
#endif //__cplusplus
    float x, y, z, w;
} D3DXVECTOR4, *LPD3DXVECTOR4;


//===========================================================================
//
// Matrices
//
//===========================================================================
typedef struct D3DXMATRIX
{
#ifdef __cplusplus
public:
    D3DXMATRIX() {};
    D3DXMATRIX( const float * );
    D3DXMATRIX( const D3DMATRIX& );
    D3DXMATRIX( float m00, float m01, float m02, float m03,
                float m10, float m11, float m12, float m13,
                float m20, float m21, float m22, float m23,
                float m30, float m31, float m32, float m33 );


    // access grants
    float& operator () ( UINT iRow, UINT iCol );
    float  operator () ( UINT iRow, UINT iCol ) const;

    // casting operators
    operator float* ();
    operator const float* () const;

    operator D3DMATRIX* ();
    operator const D3DMATRIX* () const;

    operator D3DMATRIX& ();
    operator const D3DMATRIX& () const;

    // assignment operators
    D3DXMATRIX& operator *= ( const D3DXMATRIX& );
    D3DXMATRIX& operator += ( const D3DXMATRIX& );
    D3DXMATRIX& operator -= ( const D3DXMATRIX& );
    D3DXMATRIX& operator *= ( float );
    D3DXMATRIX& operator /= ( float );

    // unary operators
    D3DXMATRIX operator + () const;
    D3DXMATRIX operator - () const;

    // binary operators
    D3DXMATRIX operator * ( const D3DXMATRIX& ) const;
    D3DXMATRIX operator + ( const D3DXMATRIX& ) const;
    D3DXMATRIX operator - ( const D3DXMATRIX& ) const;
    D3DXMATRIX operator * ( float ) const;
    D3DXMATRIX operator / ( float ) const;

    friend D3DXMATRIX operator * ( float, const D3DXMATRIX& );

    BOOL operator == ( const D3DXMATRIX& ) const;
    BOOL operator != ( const D3DXMATRIX& ) const;


#endif //__cplusplus

    union
    {
        float m[4][4];
#ifdef __cplusplus
        struct
        {
            float m00, m01, m02, m03;
            float m10, m11, m12, m13;
            float m20, m21, m22, m23;
            float m30, m31, m32, m33;
        };
#endif //__cplusplus
    };
} D3DXMATRIX, *LPD3DXMATRIX;


//===========================================================================
//
//    Quaternions
//
//===========================================================================
typedef struct D3DXQUATERNION
{
#ifdef __cplusplus
public:
    D3DXQUATERNION() {}
    D3DXQUATERNION( const float * );
    D3DXQUATERNION( float x, float y, float z, float w );

    // casting
    operator float* ();
    operator const float* () const;

    // assignment operators
    D3DXQUATERNION& operator += ( const D3DXQUATERNION& );
    D3DXQUATERNION& operator -= ( const D3DXQUATERNION& );
    D3DXQUATERNION& operator *= ( const D3DXQUATERNION& );
    D3DXQUATERNION& operator *= ( float );
    D3DXQUATERNION& operator /= ( float );

    // unary operators
    D3DXQUATERNION  operator + () const;
    D3DXQUATERNION  operator - () const;

    // binary operators
    D3DXQUATERNION operator + ( const D3DXQUATERNION& ) const;
    D3DXQUATERNION operator - ( const D3DXQUATERNION& ) const;
    D3DXQUATERNION operator * ( const D3DXQUATERNION& ) const;
    D3DXQUATERNION operator * ( float ) const;
    D3DXQUATERNION operator / ( float ) const;

    friend D3DXQUATERNION operator * (float, const D3DXQUATERNION& );

    BOOL operator == ( const D3DXQUATERNION& ) const;
    BOOL operator != ( const D3DXQUATERNION& ) const;

#endif //__cplusplus
    float x, y, z, w;
} D3DXQUATERNION, *LPD3DXQUATERNION;


//===========================================================================
//
// Planes
//
//===========================================================================
typedef struct D3DXPLANE
{
#ifdef __cplusplus
public:
    D3DXPLANE() {}
    D3DXPLANE( const float* );
    D3DXPLANE( float a, float b, float c, float d );

    // casting
    operator float* ();
    operator const float* () const;

    // unary operators
    D3DXPLANE operator + () const;
    D3DXPLANE operator - () const;

    // binary operators
    BOOL operator == ( const D3DXPLANE& ) const;
    BOOL operator != ( const D3DXPLANE& ) const;

#endif //__cplusplus
    float a, b, c, d;
} D3DXPLANE, *LPD3DXPLANE;


//===========================================================================
//
// Colors
//
//===========================================================================

typedef struct D3DXCOLOR
{
#ifdef __cplusplus
public:
    D3DXCOLOR() {}
    D3DXCOLOR( DWORD argb );
    D3DXCOLOR( const float * );
    D3DXCOLOR( const D3DCOLORVALUE& );
    D3DXCOLOR( float r, float g, float b, float a );

    // casting
    operator DWORD () const;

    operator float* ();
    operator const float* () const;

    operator D3DCOLORVALUE* ();
    operator const D3DCOLORVALUE* () const;