d3dx9math.h File Reference

#include <d3dx9.h>
#include <math.h>
#include <d3dx9math.inl>

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Go to the source code of this file.

Classes
struct	D3DXVECTOR2
struct	D3DXVECTOR4
struct	D3DXQUATERNION
struct	D3DXPLANE
struct	D3DXCOLOR
struct	D3DXFLOAT16

Macros
#define	D3DX_PI   ((FLOAT)3.141592654)
#define	D3DX_1BYPI   ((FLOAT)0.318309886)
#define	D3DXSH_MINORDER   2
#define	D3DXSH_MAXORDER   6
#define	D3DXToRadian(degree)   ((degree) * (D3DX_PI / 180.0f))
#define	D3DXToDegree(radian)   ((radian) * (180.0f / D3DX_PI))
#define	INTERFACE   ID3DXMatrixStack
#define	ID3DXMatrixStack_QueryInterface(p, a, b)   (p)->lpVtbl->QueryInterface(p,a,b)
#define	ID3DXMatrixStack_AddRef(p)   (p)->lpVtbl->AddRef(p)
#define	ID3DXMatrixStack_Release(p)   (p)->lpVtbl->Release(p)
#define	ID3DXMatrixStack_Pop(p)   (p)->lpVtbl->Pop(p)
#define	ID3DXMatrixStack_Push(p)   (p)->lpVtbl->Push(p)
#define	ID3DXMatrixStack_LoadIdentity(p)   (p)->lpVtbl->LoadIdentity(p)
#define	ID3DXMatrixStack_LoadMatrix(p, a)   (p)->lpVtbl->LoadMatrix(p,a)
#define	ID3DXMatrixStack_MultMatrix(p, a)   (p)->lpVtbl->MultMatrix(p,a)
#define	ID3DXMatrixStack_MultMatrixLocal(p, a)   (p)->lpVtbl->MultMatrixLocal(p,a)
#define	ID3DXMatrixStack_RotateAxis(p, a, b)   (p)->lpVtbl->RotateAxis(p,a,b)
#define	ID3DXMatrixStack_RotateAxisLocal(p, a, b)   (p)->lpVtbl->RotateAxisLocal(p,a,b)
#define	ID3DXMatrixStack_RotateYawPitchRoll(p, a, b, c)   (p)->lpVtbl->RotateYawPitchRoll(p,a,b,c)
#define	ID3DXMatrixStack_RotateYawPitchRollLocal(p, a, b, c)   (p)->lpVtbl->RotateYawPitchRollLocal(p,a,b,c)
#define	ID3DXMatrixStack_Scale(p, a, b, c)   (p)->lpVtbl->Scale(p,a,b,c)
#define	ID3DXMatrixStack_ScaleLocal(p, a, b, c)   (p)->lpVtbl->ScaleLocal(p,a,b,c)
#define	ID3DXMatrixStack_Translate(p, a, b, c)   (p)->lpVtbl->Translate(p,a,b,c)
#define	ID3DXMatrixStack_TranslateLocal(p, a, b, c)   (p)->lpVtbl->TranslateLocal(p,a,b,c)
#define	ID3DXMatrixStack_GetTop(p)   (p)->lpVtbl->GetTop(p)

Typedefs
typedef struct D3DXVECTOR2	D3DXVECTOR2
typedef struct D3DXVECTOR2 *	LPD3DXVECTOR2
typedef struct _D3DVECTOR	D3DXVECTOR3
typedef struct _D3DVECTOR *	LPD3DXVECTOR3
typedef struct D3DXVECTOR4	D3DXVECTOR4
typedef struct D3DXVECTOR4 *	LPD3DXVECTOR4
typedef struct _D3DMATRIX	D3DXMATRIX
typedef struct _D3DMATRIX *	LPD3DXMATRIX
typedef struct D3DXQUATERNION	D3DXQUATERNION
typedef struct D3DXQUATERNION *	LPD3DXQUATERNION
typedef struct D3DXPLANE	D3DXPLANE
typedef struct D3DXPLANE *	LPD3DXPLANE
typedef struct D3DXCOLOR	D3DXCOLOR
typedef struct D3DXCOLOR *	LPD3DXCOLOR
typedef struct D3DXFLOAT16	D3DXFLOAT16
typedef struct D3DXFLOAT16 *	LPD3DXFLOAT16
typedef interface ID3DXMatrixStack *	LPD3DXMATRIXSTACK

Functions
D3DXCOLOR *WINAPI	D3DXColorAdjustContrast (D3DXCOLOR *pout, const D3DXCOLOR *pc, FLOAT s)
D3DXCOLOR *WINAPI	D3DXColorAdjustSaturation (D3DXCOLOR *pout, const D3DXCOLOR *pc, FLOAT s)
FLOAT WINAPI	D3DXFresnelTerm (FLOAT costheta, FLOAT refractionindex)
D3DXMATRIX *WINAPI	D3DXMatrixAffineTransformation (D3DXMATRIX *pout, FLOAT scaling, const D3DXVECTOR3 *rotationcenter, const D3DXQUATERNION *rotation, const D3DXVECTOR3 *translation)
D3DXMATRIX *WINAPI	D3DXMatrixAffineTransformation2D (D3DXMATRIX *pout, FLOAT scaling, const D3DXVECTOR2 *protationcenter, FLOAT rotation, const D3DXVECTOR2 *ptranslation)
HRESULT WINAPI	D3DXMatrixDecompose (D3DXVECTOR3 *poutscale, D3DXQUATERNION *poutrotation, D3DXVECTOR3 *pouttranslation, const D3DXMATRIX *pm)
FLOAT WINAPI	D3DXMatrixDeterminant (const D3DXMATRIX *pm)
D3DXMATRIX *WINAPI	D3DXMatrixInverse (D3DXMATRIX *pout, FLOAT *pdeterminant, const D3DXMATRIX *pm)
D3DXMATRIX *WINAPI	D3DXMatrixLookAtLH (D3DXMATRIX *pout, const D3DXVECTOR3 *peye, const D3DXVECTOR3 *pat, const D3DXVECTOR3 *pup)
D3DXMATRIX *WINAPI	D3DXMatrixLookAtRH (D3DXMATRIX *pout, const D3DXVECTOR3 *peye, const D3DXVECTOR3 *pat, const D3DXVECTOR3 *pup)
D3DXMATRIX *WINAPI	D3DXMatrixMultiply (D3DXMATRIX *pout, const D3DXMATRIX *pm1, const D3DXMATRIX *pm2)
D3DXMATRIX *WINAPI	D3DXMatrixMultiplyTranspose (D3DXMATRIX *pout, const D3DXMATRIX *pm1, const D3DXMATRIX *pm2)
D3DXMATRIX *WINAPI	D3DXMatrixOrthoLH (D3DXMATRIX *pout, FLOAT w, FLOAT h, FLOAT zn, FLOAT zf)
D3DXMATRIX *WINAPI	D3DXMatrixOrthoOffCenterLH (D3DXMATRIX *pout, FLOAT l, FLOAT r, FLOAT b, FLOAT t, FLOAT zn, FLOAT zf)
D3DXMATRIX *WINAPI	D3DXMatrixOrthoOffCenterRH (D3DXMATRIX *pout, FLOAT l, FLOAT r, FLOAT b, FLOAT t, FLOAT zn, FLOAT zf)
D3DXMATRIX *WINAPI	D3DXMatrixOrthoRH (D3DXMATRIX *pout, FLOAT w, FLOAT h, FLOAT zn, FLOAT zf)
D3DXMATRIX *WINAPI	D3DXMatrixPerspectiveFovLH (D3DXMATRIX *pout, FLOAT fovy, FLOAT aspect, FLOAT zn, FLOAT zf)
D3DXMATRIX *WINAPI	D3DXMatrixPerspectiveFovRH (D3DXMATRIX *pout, FLOAT fovy, FLOAT aspect, FLOAT zn, FLOAT zf)
D3DXMATRIX *WINAPI	D3DXMatrixPerspectiveLH (D3DXMATRIX *pout, FLOAT w, FLOAT h, FLOAT zn, FLOAT zf)
D3DXMATRIX *WINAPI	D3DXMatrixPerspectiveOffCenterLH (D3DXMATRIX *pout, FLOAT l, FLOAT r, FLOAT b, FLOAT t, FLOAT zn, FLOAT zf)
D3DXMATRIX *WINAPI	D3DXMatrixPerspectiveOffCenterRH (D3DXMATRIX *pout, FLOAT l, FLOAT r, FLOAT b, FLOAT t, FLOAT zn, FLOAT zf)
D3DXMATRIX *WINAPI	D3DXMatrixPerspectiveRH (D3DXMATRIX *pout, FLOAT w, FLOAT h, FLOAT zn, FLOAT zf)
D3DXMATRIX *WINAPI	D3DXMatrixReflect (D3DXMATRIX *pout, const D3DXPLANE *pplane)
D3DXMATRIX *WINAPI	D3DXMatrixRotationAxis (D3DXMATRIX *pout, const D3DXVECTOR3 *pv, FLOAT angle)
D3DXMATRIX *WINAPI	D3DXMatrixRotationQuaternion (D3DXMATRIX *pout, const D3DXQUATERNION *pq)
D3DXMATRIX *WINAPI	D3DXMatrixRotationX (D3DXMATRIX *pout, FLOAT angle)
D3DXMATRIX *WINAPI	D3DXMatrixRotationY (D3DXMATRIX *pout, FLOAT angle)
D3DXMATRIX *WINAPI	D3DXMatrixRotationYawPitchRoll (D3DXMATRIX *pout, FLOAT yaw, FLOAT pitch, FLOAT roll)
D3DXMATRIX *WINAPI	D3DXMatrixRotationZ (D3DXMATRIX *pout, FLOAT angle)
D3DXMATRIX *WINAPI	D3DXMatrixScaling (D3DXMATRIX *pout, FLOAT sx, FLOAT sy, FLOAT sz)
D3DXMATRIX *WINAPI	D3DXMatrixShadow (D3DXMATRIX *pout, const D3DXVECTOR4 *plight, const D3DXPLANE *pPlane)
D3DXMATRIX *WINAPI	D3DXMatrixTransformation (D3DXMATRIX *pout, const D3DXVECTOR3 *pscalingcenter, const D3DXQUATERNION *pscalingrotation, const D3DXVECTOR3 *pscaling, const D3DXVECTOR3 *protationcenter, const D3DXQUATERNION *protation, const D3DXVECTOR3 *ptranslation)
D3DXMATRIX *WINAPI	D3DXMatrixTransformation2D (D3DXMATRIX *pout, const D3DXVECTOR2 *pscalingcenter, FLOAT scalingrotation, const D3DXVECTOR2 *pscaling, const D3DXVECTOR2 *protationcenter, FLOAT rotation, const D3DXVECTOR2 *ptranslation)
D3DXMATRIX *WINAPI	D3DXMatrixTranslation (D3DXMATRIX *pout, FLOAT x, FLOAT y, FLOAT z)
D3DXMATRIX *WINAPI	D3DXMatrixTranspose (D3DXMATRIX *pout, const D3DXMATRIX *pm)
D3DXPLANE *WINAPI	D3DXPlaneFromPointNormal (D3DXPLANE *pout, const D3DXVECTOR3 *pvpoint, const D3DXVECTOR3 *pvnormal)
D3DXPLANE *WINAPI	D3DXPlaneFromPoints (D3DXPLANE *pout, const D3DXVECTOR3 *pv1, const D3DXVECTOR3 *pv2, const D3DXVECTOR3 *pv3)
D3DXVECTOR3 *WINAPI	D3DXPlaneIntersectLine (D3DXVECTOR3 *pout, const D3DXPLANE *pp, const D3DXVECTOR3 *pv1, const D3DXVECTOR3 *pv2)
D3DXPLANE *WINAPI	D3DXPlaneNormalize (D3DXPLANE *pout, const D3DXPLANE *pp)
D3DXPLANE *WINAPI	D3DXPlaneTransform (D3DXPLANE *pout, const D3DXPLANE *pplane, const D3DXMATRIX *pm)
D3DXPLANE *WINAPI	D3DXPlaneTransformArray (D3DXPLANE *pout, UINT outstride, const D3DXPLANE *pplane, UINT pstride, const D3DXMATRIX *pm, UINT n)
D3DXQUATERNION *WINAPI	D3DXQuaternionBaryCentric (D3DXQUATERNION *pout, const D3DXQUATERNION *pq1, const D3DXQUATERNION *pq2, const D3DXQUATERNION *pq3, FLOAT f, FLOAT g)
D3DXQUATERNION *WINAPI	D3DXQuaternionExp (D3DXQUATERNION *pout, const D3DXQUATERNION *pq)
D3DXQUATERNION *WINAPI	D3DXQuaternionInverse (D3DXQUATERNION *pout, const D3DXQUATERNION *pq)
D3DXQUATERNION *WINAPI	D3DXQuaternionLn (D3DXQUATERNION *pout, const D3DXQUATERNION *pq)
D3DXQUATERNION *WINAPI	D3DXQuaternionMultiply (D3DXQUATERNION *pout, const D3DXQUATERNION *pq1, const D3DXQUATERNION *pq2)
D3DXQUATERNION *WINAPI	D3DXQuaternionNormalize (D3DXQUATERNION *pout, const D3DXQUATERNION *pq)
D3DXQUATERNION *WINAPI	D3DXQuaternionRotationAxis (D3DXQUATERNION *pout, const D3DXVECTOR3 *pv, FLOAT angle)
D3DXQUATERNION *WINAPI	D3DXQuaternionRotationMatrix (D3DXQUATERNION *pout, const D3DXMATRIX *pm)
D3DXQUATERNION *WINAPI	D3DXQuaternionRotationYawPitchRoll (D3DXQUATERNION *pout, FLOAT yaw, FLOAT pitch, FLOAT roll)
D3DXQUATERNION *WINAPI	D3DXQuaternionSlerp (D3DXQUATERNION *pout, const D3DXQUATERNION *pq1, const D3DXQUATERNION *pq2, FLOAT t)
D3DXQUATERNION *WINAPI	D3DXQuaternionSquad (D3DXQUATERNION *pout, const D3DXQUATERNION *pq1, const D3DXQUATERNION *pq2, const D3DXQUATERNION *pq3, const D3DXQUATERNION *pq4, FLOAT t)
void WINAPI	D3DXQuaternionSquadSetup (D3DXQUATERNION *paout, D3DXQUATERNION *pbout, D3DXQUATERNION *pcout, const D3DXQUATERNION *pq0, const D3DXQUATERNION *pq1, const D3DXQUATERNION *pq2, const D3DXQUATERNION *pq3)
void WINAPI	D3DXQuaternionToAxisAngle (const D3DXQUATERNION *pq, D3DXVECTOR3 *paxis, FLOAT *pangle)
D3DXVECTOR2 *WINAPI	D3DXVec2BaryCentric (D3DXVECTOR2 *pout, const D3DXVECTOR2 *pv1, const D3DXVECTOR2 *pv2, const D3DXVECTOR2 *pv3, FLOAT f, FLOAT g)
D3DXVECTOR2 *WINAPI	D3DXVec2CatmullRom (D3DXVECTOR2 *pout, const D3DXVECTOR2 *pv0, const D3DXVECTOR2 *pv1, const D3DXVECTOR2 *pv2, const D3DXVECTOR2 *pv3, FLOAT s)
D3DXVECTOR2 *WINAPI	D3DXVec2Hermite (D3DXVECTOR2 *pout, const D3DXVECTOR2 *pv1, const D3DXVECTOR2 *pt1, const D3DXVECTOR2 *pv2, const D3DXVECTOR2 *pt2, FLOAT s)
D3DXVECTOR2 *WINAPI	D3DXVec2Normalize (D3DXVECTOR2 *pout, const D3DXVECTOR2 *pv)
D3DXVECTOR4 *WINAPI	D3DXVec2Transform (D3DXVECTOR4 *pout, const D3DXVECTOR2 *pv, const D3DXMATRIX *pm)
D3DXVECTOR4 *WINAPI	D3DXVec2TransformArray (D3DXVECTOR4 *pout, UINT outstride, const D3DXVECTOR2 *pv, UINT vstride, const D3DXMATRIX *pm, UINT n)
D3DXVECTOR2 *WINAPI	D3DXVec2TransformCoord (D3DXVECTOR2 *pout, const D3DXVECTOR2 *pv, const D3DXMATRIX *pm)
D3DXVECTOR2 *WINAPI	D3DXVec2TransformCoordArray (D3DXVECTOR2 *pout, UINT outstride, const D3DXVECTOR2 *pv, UINT vstride, const D3DXMATRIX *pm, UINT n)
D3DXVECTOR2 *WINAPI	D3DXVec2TransformNormal (D3DXVECTOR2 *pout, const D3DXVECTOR2 *pv, const D3DXMATRIX *pm)
D3DXVECTOR2 *WINAPI	D3DXVec2TransformNormalArray (D3DXVECTOR2 *pout, UINT outstride, const D3DXVECTOR2 *pv, UINT vstride, const D3DXMATRIX *pm, UINT n)
D3DXVECTOR3 *WINAPI	D3DXVec3BaryCentric (D3DXVECTOR3 *pout, const D3DXVECTOR3 *pv1, const D3DXVECTOR3 *pv2, const D3DXVECTOR3 *pv3, FLOAT f, FLOAT g)
D3DXVECTOR3 *WINAPI	D3DXVec3CatmullRom (D3DXVECTOR3 *pout, const D3DXVECTOR3 *pv0, const D3DXVECTOR3 *pv1, const D3DXVECTOR3 *pv2, const D3DXVECTOR3 *pv3, FLOAT s)
D3DXVECTOR3 *WINAPI	D3DXVec3Hermite (D3DXVECTOR3 *pout, const D3DXVECTOR3 *pv1, const D3DXVECTOR3 *pt1, const D3DXVECTOR3 *pv2, const D3DXVECTOR3 *pt2, FLOAT s)
D3DXVECTOR3 *WINAPI	D3DXVec3Normalize (D3DXVECTOR3 *pout, const D3DXVECTOR3 *pv)
D3DXVECTOR3 *WINAPI	D3DXVec3Project (D3DXVECTOR3 *pout, const D3DXVECTOR3 *pv, const D3DVIEWPORT9 *pviewport, const D3DXMATRIX *pprojection, const D3DXMATRIX *pview, const D3DXMATRIX *pworld)
D3DXVECTOR3 *WINAPI	D3DXVec3ProjectArray (D3DXVECTOR3 *pout, UINT outstride, const D3DXVECTOR3 *pv, UINT vstride, const D3DVIEWPORT9 *pviewport, const D3DXMATRIX *pprojection, const D3DXMATRIX *pview, const D3DXMATRIX *pworld, UINT n)
D3DXVECTOR4 *WINAPI	D3DXVec3Transform (D3DXVECTOR4 *pout, const D3DXVECTOR3 *pv, const D3DXMATRIX *pm)
D3DXVECTOR4 *WINAPI	D3DXVec3TransformArray (D3DXVECTOR4 *pout, UINT outstride, const D3DXVECTOR3 *pv, UINT vstride, const D3DXMATRIX *pm, UINT n)
D3DXVECTOR3 *WINAPI	D3DXVec3TransformCoord (D3DXVECTOR3 *pout, const D3DXVECTOR3 *pv, const D3DXMATRIX *pm)
D3DXVECTOR3 *WINAPI	D3DXVec3TransformCoordArray (D3DXVECTOR3 *pout, UINT outstride, const D3DXVECTOR3 *pv, UINT vstride, const D3DXMATRIX *pm, UINT n)
D3DXVECTOR3 *WINAPI	D3DXVec3TransformNormal (D3DXVECTOR3 *pout, const D3DXVECTOR3 *pv, const D3DXMATRIX *pm)
D3DXVECTOR3 *WINAPI	D3DXVec3TransformNormalArray (D3DXVECTOR3 *pout, UINT outstride, const D3DXVECTOR3 *pv, UINT vstride, const D3DXMATRIX *pm, UINT n)
D3DXVECTOR3 *WINAPI	D3DXVec3Unproject (D3DXVECTOR3 *pout, const D3DXVECTOR3 *pv, const D3DVIEWPORT9 *pviewport, const D3DXMATRIX *pprojection, const D3DXMATRIX *pview, const D3DXMATRIX *pworld)
D3DXVECTOR3 *WINAPI	D3DXVec3UnprojectArray (D3DXVECTOR3 *pout, UINT outstride, const D3DXVECTOR3 *pv, UINT vstride, const D3DVIEWPORT9 *pviewport, const D3DXMATRIX *pprojection, const D3DXMATRIX *pview, const D3DXMATRIX *pworld, UINT n)
D3DXVECTOR4 *WINAPI	D3DXVec4BaryCentric (D3DXVECTOR4 *pout, const D3DXVECTOR4 *pv1, const D3DXVECTOR4 *pv2, const D3DXVECTOR4 *pv3, FLOAT f, FLOAT g)
D3DXVECTOR4 *WINAPI	D3DXVec4CatmullRom (D3DXVECTOR4 *pout, const D3DXVECTOR4 *pv0, const D3DXVECTOR4 *pv1, const D3DXVECTOR4 *pv2, const D3DXVECTOR4 *pv3, FLOAT s)
D3DXVECTOR4 *WINAPI	D3DXVec4Cross (D3DXVECTOR4 *pout, const D3DXVECTOR4 *pv1, const D3DXVECTOR4 *pv2, const D3DXVECTOR4 *pv3)
D3DXVECTOR4 *WINAPI	D3DXVec4Hermite (D3DXVECTOR4 *pout, const D3DXVECTOR4 *pv1, const D3DXVECTOR4 *pt1, const D3DXVECTOR4 *pv2, const D3DXVECTOR4 *pt2, FLOAT s)
D3DXVECTOR4 *WINAPI	D3DXVec4Normalize (D3DXVECTOR4 *pout, const D3DXVECTOR4 *pv)
D3DXVECTOR4 *WINAPI	D3DXVec4Transform (D3DXVECTOR4 *pout, const D3DXVECTOR4 *pv, const D3DXMATRIX *pm)
D3DXVECTOR4 *WINAPI	D3DXVec4TransformArray (D3DXVECTOR4 *pout, UINT outstride, const D3DXVECTOR4 *pv, UINT vstride, const D3DXMATRIX *pm, UINT n)
D3DXFLOAT16 *WINAPI	D3DXFloat32To16Array (D3DXFLOAT16 *pout, const FLOAT *pin, UINT n)
FLOAT *WINAPI	D3DXFloat16To32Array (FLOAT *pout, const D3DXFLOAT16 *pin, UINT n)
FLOAT *WINAPI	D3DXSHAdd (FLOAT *out, UINT order, const FLOAT *a, const FLOAT *b)
FLOAT WINAPI	D3DXSHDot (UINT order, const FLOAT *a, const FLOAT *b)
HRESULT WINAPI	D3DXSHEvalConeLight (UINT order, const D3DXVECTOR3 *dir, FLOAT radius, FLOAT Rintensity, FLOAT Gintensity, FLOAT Bintensity, FLOAT *rout, FLOAT *gout, FLOAT *bout)
FLOAT *WINAPI	D3DXSHEvalDirection (FLOAT *out, UINT order, const D3DXVECTOR3 *dir)
HRESULT WINAPI	D3DXSHEvalDirectionalLight (UINT order, const D3DXVECTOR3 *dir, FLOAT Rintensity, FLOAT Gintensity, FLOAT Bintensity, FLOAT *rout, FLOAT *gout, FLOAT *bout)
HRESULT WINAPI	D3DXSHEvalHemisphereLight (UINT order, const D3DXVECTOR3 *dir, D3DXCOLOR top, D3DXCOLOR bottom, FLOAT *rout, FLOAT *gout, FLOAT *bout)
HRESULT WINAPI	D3DXSHEvalSphericalLight (UINT order, const D3DXVECTOR3 *dir, FLOAT radius, FLOAT Rintensity, FLOAT Gintensity, FLOAT Bintensity, FLOAT *rout, FLOAT *gout, FLOAT *bout)
FLOAT *WINAPI	D3DXSHMultiply2 (FLOAT *out, const FLOAT *a, const FLOAT *b)
FLOAT *WINAPI	D3DXSHMultiply3 (FLOAT *out, const FLOAT *a, const FLOAT *b)
FLOAT *WINAPI	D3DXSHMultiply4 (FLOAT *out, const FLOAT *a, const FLOAT *b)
HRESULT WINAPI	D3DXSHProjectCubeMap (UINT order, IDirect3DCubeTexture9 *cubemap, FLOAT *rout, FLOAT *gout, FLOAT *bout)
FLOAT *WINAPI	D3DXSHRotate (FLOAT *out, UINT order, const D3DXMATRIX *matrix, const FLOAT *in)
FLOAT *WINAPI	D3DXSHRotateZ (FLOAT *out, UINT order, FLOAT angle, const FLOAT *in)
FLOAT *WINAPI	D3DXSHScale (FLOAT *out, UINT order, const FLOAT *a, const FLOAT scale)
	DEFINE_GUID (IID_ID3DXMatrixStack, 0xc7885ba7, 0xf990, 0x4fe7, 0x92, 0x2d, 0x85, 0x15, 0xe4, 0x77, 0xdd, 0x85)
	DECLARE_INTERFACE_ (ID3DXMatrixStack, IUnknown)
HRESULT WINAPI	D3DXCreateMatrixStack (DWORD flags, ID3DXMatrixStack **stack)

Macro Definition Documentation

D3DX_1BYPI

#define D3DX_1BYPI   ((FLOAT)0.318309886)

Definition at line 28 of file d3dx9math.h.

D3DX_PI

#define D3DX_PI   ((FLOAT)3.141592654)

Definition at line 27 of file d3dx9math.h.

D3DXSH_MAXORDER

#define D3DXSH_MAXORDER   6

Definition at line 31 of file d3dx9math.h.

D3DXSH_MINORDER

#define D3DXSH_MINORDER   2

Definition at line 30 of file d3dx9math.h.

D3DXToDegree

#define D3DXToDegree

(

radian

)

((radian) * (180.0f / D3DX_PI))

Definition at line 34 of file d3dx9math.h.

D3DXToRadian

#define D3DXToRadian

(

degree

)

((degree) * (D3DX_PI / 180.0f))

Definition at line 33 of file d3dx9math.h.

ID3DXMatrixStack_AddRef

#define ID3DXMatrixStack_AddRef

(

p

)

(p)->lpVtbl->AddRef(p)

Definition at line 443 of file d3dx9math.h.

ID3DXMatrixStack_GetTop

#define ID3DXMatrixStack_GetTop

(

p

)

(p)->lpVtbl->GetTop(p)

Definition at line 459 of file d3dx9math.h.

ID3DXMatrixStack_LoadIdentity

#define ID3DXMatrixStack_LoadIdentity

(

p

)

(p)->lpVtbl->LoadIdentity(p)

Definition at line 447 of file d3dx9math.h.

ID3DXMatrixStack_LoadMatrix

#define ID3DXMatrixStack_LoadMatrix	(		p,
			a
	)		(p)->lpVtbl->LoadMatrix(p,a)

Definition at line 448 of file d3dx9math.h.

ID3DXMatrixStack_MultMatrix

#define ID3DXMatrixStack_MultMatrix	(		p,
			a
	)		(p)->lpVtbl->MultMatrix(p,a)

Definition at line 449 of file d3dx9math.h.

ID3DXMatrixStack_MultMatrixLocal

#define ID3DXMatrixStack_MultMatrixLocal	(		p,
			a
	)		(p)->lpVtbl->MultMatrixLocal(p,a)

Definition at line 450 of file d3dx9math.h.

ID3DXMatrixStack_Pop

#define ID3DXMatrixStack_Pop

(

p

)

(p)->lpVtbl->Pop(p)

Definition at line 445 of file d3dx9math.h.

ID3DXMatrixStack_Push

#define ID3DXMatrixStack_Push

(

p

)

(p)->lpVtbl->Push(p)

Definition at line 446 of file d3dx9math.h.

ID3DXMatrixStack_QueryInterface

#define ID3DXMatrixStack_QueryInterface	(		p,
			a,
			b
	)		(p)->lpVtbl->QueryInterface(p,a,b)

Definition at line 442 of file d3dx9math.h.

ID3DXMatrixStack_Release

#define ID3DXMatrixStack_Release

(

p

)

(p)->lpVtbl->Release(p)

Definition at line 444 of file d3dx9math.h.

ID3DXMatrixStack_RotateAxis

#define ID3DXMatrixStack_RotateAxis	(		p,
			a,
			b
	)		(p)->lpVtbl->RotateAxis(p,a,b)

Definition at line 451 of file d3dx9math.h.

ID3DXMatrixStack_RotateAxisLocal

#define ID3DXMatrixStack_RotateAxisLocal	(		p,
			a,
			b
	)		(p)->lpVtbl->RotateAxisLocal(p,a,b)

Definition at line 452 of file d3dx9math.h.

ID3DXMatrixStack_RotateYawPitchRoll

#define ID3DXMatrixStack_RotateYawPitchRoll	(		p,
			a,
			b,
			c
	)		(p)->lpVtbl->RotateYawPitchRoll(p,a,b,c)

Definition at line 453 of file d3dx9math.h.

ID3DXMatrixStack_RotateYawPitchRollLocal

#define ID3DXMatrixStack_RotateYawPitchRollLocal	(		p,
			a,
			b,
			c
	)		(p)->lpVtbl->RotateYawPitchRollLocal(p,a,b,c)

Definition at line 454 of file d3dx9math.h.

ID3DXMatrixStack_Scale

#define ID3DXMatrixStack_Scale	(		p,
			a,
			b,
			c
	)		(p)->lpVtbl->Scale(p,a,b,c)

Definition at line 455 of file d3dx9math.h.

ID3DXMatrixStack_ScaleLocal

#define ID3DXMatrixStack_ScaleLocal	(		p,
			a,
			b,
			c
	)		(p)->lpVtbl->ScaleLocal(p,a,b,c)

Definition at line 456 of file d3dx9math.h.

ID3DXMatrixStack_Translate

#define ID3DXMatrixStack_Translate	(		p,
			a,
			b,
			c
	)		(p)->lpVtbl->Translate(p,a,b,c)

Definition at line 457 of file d3dx9math.h.

ID3DXMatrixStack_TranslateLocal

#define ID3DXMatrixStack_TranslateLocal	(		p,
			a,
			b,
			c
	)		(p)->lpVtbl->TranslateLocal(p,a,b,c)

Definition at line 458 of file d3dx9math.h.

INTERFACE

#define INTERFACE   ID3DXMatrixStack

Definition at line 414 of file d3dx9math.h.

Typedef Documentation

D3DXCOLOR

typedef struct D3DXCOLOR D3DXCOLOR

D3DXFLOAT16

typedef struct D3DXFLOAT16 D3DXFLOAT16

D3DXMATRIX

typedef struct _D3DMATRIX D3DXMATRIX

Definition at line 169 of file d3dx9math.h.

D3DXPLANE

typedef struct D3DXPLANE D3DXPLANE

D3DXQUATERNION

typedef struct D3DXQUATERNION D3DXQUATERNION

D3DXVECTOR2

typedef struct D3DXVECTOR2 D3DXVECTOR2

D3DXVECTOR3

typedef struct _D3DVECTOR D3DXVECTOR3

Definition at line 97 of file d3dx9math.h.

D3DXVECTOR4

typedef struct D3DXVECTOR4 D3DXVECTOR4

LPD3DXCOLOR

typedef struct D3DXCOLOR * LPD3DXCOLOR

LPD3DXFLOAT16

typedef struct D3DXFLOAT16 * LPD3DXFLOAT16

LPD3DXMATRIX

typedef struct _D3DMATRIX * LPD3DXMATRIX

Definition at line 169 of file d3dx9math.h.

LPD3DXMATRIXSTACK

typedef interface ID3DXMatrixStack* LPD3DXMATRIXSTACK

Definition at line 408 of file d3dx9math.h.

LPD3DXPLANE

typedef struct D3DXPLANE * LPD3DXPLANE

LPD3DXQUATERNION

typedef struct D3DXQUATERNION * LPD3DXQUATERNION

LPD3DXVECTOR2

typedef struct D3DXVECTOR2 * LPD3DXVECTOR2

LPD3DXVECTOR3

typedef struct _D3DVECTOR * LPD3DXVECTOR3

Definition at line 97 of file d3dx9math.h.

LPD3DXVECTOR4

typedef struct D3DXVECTOR4 * LPD3DXVECTOR4

Function Documentation

D3DXColorAdjustContrast()

D3DXCOLOR *WINAPI D3DXColorAdjustContrast	(	D3DXCOLOR *	pout,
		const D3DXCOLOR *	pc,
		FLOAT	s
	)

Definition at line 46 of file math.c.

{
    TRACE("pout %p, pc %p, s %f\n", pout, pc, s);
 
    pout->r = 0.5f + s * (pc->r - 0.5f);
    pout->g = 0.5f + s * (pc->g - 0.5f);
    pout->b = 0.5f + s * (pc->b - 0.5f);
    pout->a = pc->a;
    return pout;
}

D3DXColorAdjustSaturation()

D3DXCOLOR *WINAPI D3DXColorAdjustSaturation	(	D3DXCOLOR *	pout,
		const D3DXCOLOR *	pc,
		FLOAT	s
	)

Definition at line 57 of file math.c.

{
    FLOAT grey;
 
    TRACE("pout %p, pc %p, s %f\n", pout, pc, s);
 
    grey = pc->r * 0.2125f + pc->g * 0.7154f + pc->b * 0.0721f;
    pout->r = grey + s * (pc->r - grey);
    pout->g = grey + s * (pc->g - grey);
    pout->b = grey + s * (pc->b - grey);
    pout->a = pc->a;
    return pout;
}

D3DXCreateMatrixStack()

HRESULT WINAPI D3DXCreateMatrixStack	(	DWORD	flags,
		ID3DXMatrixStack **	stack
	)

Definition at line 1171 of file math.c.

{
    struct ID3DXMatrixStackImpl *object;
 
    TRACE("flags %#lx, stack %p.\n", flags, stack);
 
    if (!(object = calloc(1, sizeof(*object))))
    {
        *stack = NULL;
        return E_OUTOFMEMORY;
    }
    object->ID3DXMatrixStack_iface.lpVtbl = &ID3DXMatrixStack_Vtbl;
    object->ref = 1;
 
    if (!(object->stack = malloc(INITIAL_STACK_SIZE * sizeof(*object->stack))))
    {
        free(object);
        *stack = NULL;
        return E_OUTOFMEMORY;
    }
 
    object->current = 0;
    object->stack_size = INITIAL_STACK_SIZE;
    D3DXMatrixIdentity(&object->stack[0]);
 
    TRACE("Created matrix stack %p.\n", object);
 
    *stack = &object->ID3DXMatrixStack_iface;
    return D3D_OK;
}

D3DXFloat16To32Array()

FLOAT *WINAPI D3DXFloat16To32Array	(	FLOAT *	pout,
		const D3DXFLOAT16 *	pin,
		UINT	n
	)

Definition at line 2221 of file math.c.

{
    unsigned int i;
 
    TRACE("pout %p, pin %p, n %u\n", pout, pin, n);
 
    for (i = 0; i < n; ++i)
    {
        pout[i] = float_16_to_32(pin[i].value);
    }
 
    return pout;
}

D3DXFloat32To16Array()

D3DXFLOAT16 *WINAPI D3DXFloat32To16Array	(	D3DXFLOAT16 *	pout,
		const FLOAT *	pin,
		UINT	n
	)

Definition at line 2187 of file math.c.

{
    unsigned int i;
 
    TRACE("pout %p, pin %p, n %u\n", pout, pin, n);
 
    for (i = 0; i < n; ++i)
    {
        pout[i].value = float_32_to_16(pin[i]);
    }
 
    return pout;
}

D3DXFresnelTerm()

FLOAT WINAPI D3DXFresnelTerm	(	FLOAT	costheta,
		FLOAT	refractionindex
	)

Definition at line 73 of file math.c.

{
    FLOAT a, d, g, result;
 
    TRACE("costheta %f, refractionindex %f\n", costheta, refractionindex);
 
    g = sqrtf(refractionindex * refractionindex + costheta * costheta - 1.0f);
    a = g + costheta;
    d = g - costheta;
    result = (costheta * a - 1.0f) * (costheta * a - 1.0f) / ((costheta * d + 1.0f) * (costheta * d + 1.0f)) + 1.0f;
    result *= 0.5f * d * d / (a * a);
 
    return result;
}

D3DXMatrixAffineTransformation()

D3DXMATRIX *WINAPI D3DXMatrixAffineTransformation	(	D3DXMATRIX *	pout,
		FLOAT	scaling,
		const D3DXVECTOR3 *	rotationcenter,
		const D3DXQUATERNION *	rotation,
		const D3DXVECTOR3 *	translation
	)

Definition at line 90 of file math.c.

{
    TRACE("out %p, scaling %f, rotationcenter %p, rotation %p, translation %p\n",
            out, scaling, rotationcenter, rotation, translation);
 
    D3DXMatrixIdentity(out);
 
    if (rotation)
    {
        FLOAT temp00, temp01, temp02, temp10, temp11, temp12, temp20, temp21, temp22;
 
        temp00 = 1.0f - 2.0f * (rotation->y * rotation->y + rotation->z * rotation->z);
        temp01 = 2.0f * (rotation->x * rotation->y + rotation->z * rotation->w);
        temp02 = 2.0f * (rotation->x * rotation->z - rotation->y * rotation->w);
        temp10 = 2.0f * (rotation->x * rotation->y - rotation->z * rotation->w);
        temp11 = 1.0f - 2.0f * (rotation->x * rotation->x + rotation->z * rotation->z);
        temp12 = 2.0f * (rotation->y * rotation->z + rotation->x * rotation->w);
        temp20 = 2.0f * (rotation->x * rotation->z + rotation->y * rotation->w);
        temp21 = 2.0f * (rotation->y * rotation->z - rotation->x * rotation->w);
        temp22 = 1.0f - 2.0f * (rotation->x * rotation->x + rotation->y * rotation->y);
 
        out->m[0][0] = scaling * temp00;
        out->m[0][1] = scaling * temp01;
        out->m[0][2] = scaling * temp02;
        out->m[1][0] = scaling * temp10;
        out->m[1][1] = scaling * temp11;
        out->m[1][2] = scaling * temp12;
        out->m[2][0] = scaling * temp20;
        out->m[2][1] = scaling * temp21;
        out->m[2][2] = scaling * temp22;
 
        if (rotationcenter)
        {
            out->m[3][0] = rotationcenter->x * (1.0f - temp00) - rotationcenter->y * temp10
                    - rotationcenter->z * temp20;
            out->m[3][1] = rotationcenter->y * (1.0f - temp11) - rotationcenter->x * temp01
                    - rotationcenter->z * temp21;
            out->m[3][2] = rotationcenter->z * (1.0f - temp22) - rotationcenter->x * temp02
                    - rotationcenter->y * temp12;
        }
    }
    else
    {
        out->m[0][0] = scaling;
        out->m[1][1] = scaling;
        out->m[2][2] = scaling;
    }
 
    if (translation)
    {
        out->m[3][0] += translation->x;
        out->m[3][1] += translation->y;
        out->m[3][2] += translation->z;
    }
 
    return out;
}

D3DXMatrixAffineTransformation2D()

D3DXMATRIX *WINAPI D3DXMatrixAffineTransformation2D	(	D3DXMATRIX *	pout,
		FLOAT	scaling,
		const D3DXVECTOR2 *	protationcenter,
		FLOAT	rotation,
		const D3DXVECTOR2 *	ptranslation
	)

Definition at line 149 of file math.c.

{
    FLOAT tmp1, tmp2, s;
 
    TRACE("out %p, scaling %f, rotationcenter %p, rotation %f, translation %p\n",
            out, scaling, rotationcenter, rotation, translation);
 
    s = sinf(rotation / 2.0f);
    tmp1 = 1.0f - 2.0f * s * s;
    tmp2 = 2.0f * s * cosf(rotation / 2.0f);
 
    D3DXMatrixIdentity(out);
    out->m[0][0] = scaling * tmp1;
    out->m[0][1] = scaling * tmp2;
    out->m[1][0] = -scaling * tmp2;
    out->m[1][1] = scaling * tmp1;
 
    if (rotationcenter)
    {
        FLOAT x, y;
 
        x = rotationcenter->x;
        y = rotationcenter->y;
 
        out->m[3][0] = y * tmp2 - x * tmp1 + x;
        out->m[3][1] = -x * tmp2 - y * tmp1 + y;
    }
 
    if (translation)
    {
        out->m[3][0] += translation->x;
        out->m[3][1] += translation->y;
    }
 
    return out;
}

D3DXMatrixDecompose()

HRESULT WINAPI D3DXMatrixDecompose	(	D3DXVECTOR3 *	poutscale,
		D3DXQUATERNION *	poutrotation,
		D3DXVECTOR3 *	pouttranslation,
		const D3DXMATRIX *	pm
	)

Definition at line 187 of file math.c.

{
    D3DXMATRIX normalized;
    D3DXVECTOR3 vec;
 
    TRACE("poutscale %p, poutrotation %p, pouttranslation %p, pm %p\n", poutscale, poutrotation, pouttranslation, pm);
 
    /*Compute the scaling part.*/
    vec.x = pm->m[0][0];
    vec.y = pm->m[0][1];
    vec.z = pm->m[0][2];
    poutscale->x = D3DXVec3Length(&vec);
 
    vec.x = pm->m[1][0];
    vec.y = pm->m[1][1];
    vec.z = pm->m[1][2];
    poutscale->y = D3DXVec3Length(&vec);
 
    vec.x = pm->m[2][0];
    vec.y = pm->m[2][1];
    vec.z = pm->m[2][2];
    poutscale->z = D3DXVec3Length(&vec);
 
    /*Compute the translation part.*/
    pouttranslation->x = pm->m[3][0];
    pouttranslation->y = pm->m[3][1];
    pouttranslation->z = pm->m[3][2];
 
    /*Let's calculate the rotation now*/
    if ( (poutscale->x == 0.0f) || (poutscale->y == 0.0f) || (poutscale->z == 0.0f) ) return D3DERR_INVALIDCALL;
 
    normalized.m[0][0] = pm->m[0][0]/poutscale->x;
    normalized.m[0][1] = pm->m[0][1]/poutscale->x;
    normalized.m[0][2] = pm->m[0][2]/poutscale->x;
    normalized.m[1][0] = pm->m[1][0]/poutscale->y;
    normalized.m[1][1] = pm->m[1][1]/poutscale->y;
    normalized.m[1][2] = pm->m[1][2]/poutscale->y;
    normalized.m[2][0] = pm->m[2][0]/poutscale->z;
    normalized.m[2][1] = pm->m[2][1]/poutscale->z;
    normalized.m[2][2] = pm->m[2][2]/poutscale->z;
 
    D3DXQuaternionRotationMatrix(poutrotation,&normalized);
    return S_OK;
}

D3DXMatrixDeterminant()

FLOAT WINAPI D3DXMatrixDeterminant

(

const D3DXMATRIX *

pm

)

Definition at line 232 of file math.c.

{
    FLOAT t[3], v[4];
 
    TRACE("pm %p\n", pm);
 
    t[0] = pm->m[2][2] * pm->m[3][3] - pm->m[2][3] * pm->m[3][2];
    t[1] = pm->m[1][2] * pm->m[3][3] - pm->m[1][3] * pm->m[3][2];
    t[2] = pm->m[1][2] * pm->m[2][3] - pm->m[1][3] * pm->m[2][2];
    v[0] = pm->m[1][1] * t[0] - pm->m[2][1] * t[1] + pm->m[3][1] * t[2];
    v[1] = -pm->m[1][0] * t[0] + pm->m[2][0] * t[1] - pm->m[3][0] * t[2];
 
    t[0] = pm->m[1][0] * pm->m[2][1] - pm->m[2][0] * pm->m[1][1];
    t[1] = pm->m[1][0] * pm->m[3][1] - pm->m[3][0] * pm->m[1][1];
    t[2] = pm->m[2][0] * pm->m[3][1] - pm->m[3][0] * pm->m[2][1];
    v[2] = pm->m[3][3] * t[0] - pm->m[2][3] * t[1] + pm->m[1][3] * t[2];
    v[3] = -pm->m[3][2] * t[0] + pm->m[2][2] * t[1] - pm->m[1][2] * t[2];
 
    return pm->m[0][0] * v[0] + pm->m[0][1] * v[1] +
        pm->m[0][2] * v[2] + pm->m[0][3] * v[3];
}

D3DXMatrixInverse()

D3DXMATRIX *WINAPI D3DXMatrixInverse	(	D3DXMATRIX *	pout,
		FLOAT *	pdeterminant,
		const D3DXMATRIX *	pm
	)

Definition at line 254 of file math.c.

{
    FLOAT det, t[3], v[16];
    UINT i, j;
 
    TRACE("pout %p, pdeterminant %p, pm %p\n", pout, pdeterminant, pm);
 
    t[0] = pm->m[2][2] * pm->m[3][3] - pm->m[2][3] * pm->m[3][2];
    t[1] = pm->m[1][2] * pm->m[3][3] - pm->m[1][3] * pm->m[3][2];
    t[2] = pm->m[1][2] * pm->m[2][3] - pm->m[1][3] * pm->m[2][2];
    v[0] = pm->m[1][1] * t[0] - pm->m[2][1] * t[1] + pm->m[3][1] * t[2];
    v[4] = -pm->m[1][0] * t[0] + pm->m[2][0] * t[1] - pm->m[3][0] * t[2];
 
    t[0] = pm->m[1][0] * pm->m[2][1] - pm->m[2][0] * pm->m[1][1];
    t[1] = pm->m[1][0] * pm->m[3][1] - pm->m[3][0] * pm->m[1][1];
    t[2] = pm->m[2][0] * pm->m[3][1] - pm->m[3][0] * pm->m[2][1];
    v[8] = pm->m[3][3] * t[0] - pm->m[2][3] * t[1] + pm->m[1][3] * t[2];
    v[12] = -pm->m[3][2] * t[0] + pm->m[2][2] * t[1] - pm->m[1][2] * t[2];
 
    det = pm->m[0][0] * v[0] + pm->m[0][1] * v[4] +
        pm->m[0][2] * v[8] + pm->m[0][3] * v[12];
    if (det == 0.0f)
        return NULL;
    if (pdeterminant)
        *pdeterminant = det;
 
    t[0] = pm->m[2][2] * pm->m[3][3] - pm->m[2][3] * pm->m[3][2];
    t[1] = pm->m[0][2] * pm->m[3][3] - pm->m[0][3] * pm->m[3][2];
    t[2] = pm->m[0][2] * pm->m[2][3] - pm->m[0][3] * pm->m[2][2];
    v[1] = -pm->m[0][1] * t[0] + pm->m[2][1] * t[1] - pm->m[3][1] * t[2];
    v[5] = pm->m[0][0] * t[0] - pm->m[2][0] * t[1] + pm->m[3][0] * t[2];
 
    t[0] = pm->m[0][0] * pm->m[2][1] - pm->m[2][0] * pm->m[0][1];
    t[1] = pm->m[3][0] * pm->m[0][1] - pm->m[0][0] * pm->m[3][1];
    t[2] = pm->m[2][0] * pm->m[3][1] - pm->m[3][0] * pm->m[2][1];
    v[9] = -pm->m[3][3] * t[0] - pm->m[2][3] * t[1]- pm->m[0][3] * t[2];
    v[13] = pm->m[3][2] * t[0] + pm->m[2][2] * t[1] + pm->m[0][2] * t[2];
 
    t[0] = pm->m[1][2] * pm->m[3][3] - pm->m[1][3] * pm->m[3][2];
    t[1] = pm->m[0][2] * pm->m[3][3] - pm->m[0][3] * pm->m[3][2];
    t[2] = pm->m[0][2] * pm->m[1][3] - pm->m[0][3] * pm->m[1][2];
    v[2] = pm->m[0][1] * t[0] - pm->m[1][1] * t[1] + pm->m[3][1] * t[2];
    v[6] = -pm->m[0][0] * t[0] + pm->m[1][0] * t[1] - pm->m[3][0] * t[2];
 
    t[0] = pm->m[0][0] * pm->m[1][1] - pm->m[1][0] * pm->m[0][1];
    t[1] = pm->m[3][0] * pm->m[0][1] - pm->m[0][0] * pm->m[3][1];
    t[2] = pm->m[1][0] * pm->m[3][1] - pm->m[3][0] * pm->m[1][1];
    v[10] = pm->m[3][3] * t[0] + pm->m[1][3] * t[1] + pm->m[0][3] * t[2];
    v[14] = -pm->m[3][2] * t[0] - pm->m[1][2] * t[1] - pm->m[0][2] * t[2];
 
    t[0] = pm->m[1][2] * pm->m[2][3] - pm->m[1][3] * pm->m[2][2];
    t[1] = pm->m[0][2] * pm->m[2][3] - pm->m[0][3] * pm->m[2][2];
    t[2] = pm->m[0][2] * pm->m[1][3] - pm->m[0][3] * pm->m[1][2];
    v[3] = -pm->m[0][1] * t[0] + pm->m[1][1] * t[1] - pm->m[2][1] * t[2];
    v[7] = pm->m[0][0] * t[0] - pm->m[1][0] * t[1] + pm->m[2][0] * t[2];
 
    v[11] = -pm->m[0][0] * (pm->m[1][1] * pm->m[2][3] - pm->m[1][3] * pm->m[2][1]) +
        pm->m[1][0] * (pm->m[0][1] * pm->m[2][3] - pm->m[0][3] * pm->m[2][1]) -
        pm->m[2][0] * (pm->m[0][1] * pm->m[1][3] - pm->m[0][3] * pm->m[1][1]);
 
    v[15] = pm->m[0][0] * (pm->m[1][1] * pm->m[2][2] - pm->m[1][2] * pm->m[2][1]) -
        pm->m[1][0] * (pm->m[0][1] * pm->m[2][2] - pm->m[0][2] * pm->m[2][1]) +
        pm->m[2][0] * (pm->m[0][1] * pm->m[1][2] - pm->m[0][2] * pm->m[1][1]);
 
    det = 1.0f / det;
 
    for (i = 0; i < 4; i++)
        for (j = 0; j < 4; j++)
            pout->m[i][j] = v[4 * i + j] * det;
 
    return pout;
}

D3DXMatrixLookAtLH()

D3DXMATRIX *WINAPI D3DXMatrixLookAtLH	(	D3DXMATRIX *	pout,
		const D3DXVECTOR3 *	peye,
		const D3DXVECTOR3 *	pat,
		const D3DXVECTOR3 *	pup
	)

Definition at line 327 of file math.c.

{
    D3DXVECTOR3 right, upn, vec;
 
    TRACE("out %p, eye %p, at %p, up %p\n", out, eye, at, up);
 
    D3DXVec3Subtract(&vec, at, eye);
    D3DXVec3Normalize(&vec, &vec);
    D3DXVec3Cross(&right, up, &vec);
    D3DXVec3Cross(&upn, &vec, &right);
    D3DXVec3Normalize(&right, &right);
    D3DXVec3Normalize(&upn, &upn);
    out->m[0][0] = right.x;
    out->m[1][0] = right.y;
    out->m[2][0] = right.z;
    out->m[3][0] = -D3DXVec3Dot(&right, eye);
    out->m[0][1] = upn.x;
    out->m[1][1] = upn.y;
    out->m[2][1] = upn.z;
    out->m[3][1] = -D3DXVec3Dot(&upn, eye);
    out->m[0][2] = vec.x;
    out->m[1][2] = vec.y;
    out->m[2][2] = vec.z;
    out->m[3][2] = -D3DXVec3Dot(&vec, eye);
    out->m[0][3] = 0.0f;
    out->m[1][3] = 0.0f;
    out->m[2][3] = 0.0f;
    out->m[3][3] = 1.0f;
 
    return out;
}

D3DXMatrixLookAtRH()

D3DXMATRIX *WINAPI D3DXMatrixLookAtRH	(	D3DXMATRIX *	pout,
		const D3DXVECTOR3 *	peye,
		const D3DXVECTOR3 *	pat,
		const D3DXVECTOR3 *	pup
	)

Definition at line 360 of file math.c.

{
    D3DXVECTOR3 right, upn, vec;
 
    TRACE("out %p, eye %p, at %p, up %p\n", out, eye, at, up);
 
    D3DXVec3Subtract(&vec, at, eye);
    D3DXVec3Normalize(&vec, &vec);
    D3DXVec3Cross(&right, up, &vec);
    D3DXVec3Cross(&upn, &vec, &right);
    D3DXVec3Normalize(&right, &right);
    D3DXVec3Normalize(&upn, &upn);
    out->m[0][0] = -right.x;
    out->m[1][0] = -right.y;
    out->m[2][0] = -right.z;
    out->m[3][0] = D3DXVec3Dot(&right, eye);
    out->m[0][1] = upn.x;
    out->m[1][1] = upn.y;
    out->m[2][1] = upn.z;
    out->m[3][1] = -D3DXVec3Dot(&upn, eye);
    out->m[0][2] = -vec.x;
    out->m[1][2] = -vec.y;
    out->m[2][2] = -vec.z;
    out->m[3][2] = D3DXVec3Dot(&vec, eye);
    out->m[0][3] = 0.0f;
    out->m[1][3] = 0.0f;
    out->m[2][3] = 0.0f;
    out->m[3][3] = 1.0f;
 
    return out;
}

D3DXMatrixMultiply()

D3DXMATRIX *WINAPI D3DXMatrixMultiply	(	D3DXMATRIX *	pout,
		const D3DXMATRIX *	pm1,
		const D3DXMATRIX *	pm2
	)

Definition at line 393 of file math.c.

{
    D3DXMATRIX out;
    int i,j;
 
    TRACE("pout %p, pm1 %p, pm2 %p\n", pout, pm1, pm2);
 
    for (i=0; i<4; i++)
    {
        for (j=0; j<4; j++)
        {
            out.m[i][j] = pm1->m[i][0] * pm2->m[0][j] + pm1->m[i][1] * pm2->m[1][j] + pm1->m[i][2] * pm2->m[2][j] + pm1->m[i][3] * pm2->m[3][j];
        }
    }
 
    *pout = out;
    return pout;
}

D3DXMatrixMultiplyTranspose()

D3DXMATRIX *WINAPI D3DXMatrixMultiplyTranspose	(	D3DXMATRIX *	pout,
		const D3DXMATRIX *	pm1,
		const D3DXMATRIX *	pm2
	)

Definition at line 412 of file math.c.

{
    D3DXMATRIX temp;
    int i, j;
 
    TRACE("pout %p, pm1 %p, pm2 %p\n", pout, pm1, pm2);
 
    for (i = 0; i < 4; i++)
        for (j = 0; j < 4; j++)
            temp.m[j][i] = pm1->m[i][0] * pm2->m[0][j] + pm1->m[i][1] * pm2->m[1][j] + pm1->m[i][2] * pm2->m[2][j] + pm1->m[i][3] * pm2->m[3][j];
 
    *pout = temp;
    return pout;
}

D3DXMatrixOrthoLH()

D3DXMATRIX *WINAPI D3DXMatrixOrthoLH	(	D3DXMATRIX *	pout,
		FLOAT	w,
		FLOAT	h,
		FLOAT	zn,
		FLOAT	zf
	)

Definition at line 427 of file math.c.

{
    TRACE("pout %p, w %f, h %f, zn %f, zf %f\n", pout, w, h, zn, zf);
 
    D3DXMatrixIdentity(pout);
    pout->m[0][0] = 2.0f / w;
    pout->m[1][1] = 2.0f / h;
    pout->m[2][2] = 1.0f / (zf - zn);
    pout->m[3][2] = zn / (zn - zf);
    return pout;
}

D3DXMatrixOrthoOffCenterLH()

D3DXMATRIX *WINAPI D3DXMatrixOrthoOffCenterLH	(	D3DXMATRIX *	pout,
		FLOAT	l,
		FLOAT	r,
		FLOAT	b,
		FLOAT	t,
		FLOAT	zn,
		FLOAT	zf
	)

Definition at line 439 of file math.c.

{
    TRACE("pout %p, l %f, r %f, b %f, t %f, zn %f, zf %f\n", pout, l, r, b, t, zn, zf);
 
    D3DXMatrixIdentity(pout);
    pout->m[0][0] = 2.0f / (r - l);
    pout->m[1][1] = 2.0f / (t - b);
    pout->m[2][2] = 1.0f / (zf -zn);
    pout->m[3][0] = -1.0f -2.0f *l / (r - l);
    pout->m[3][1] = 1.0f + 2.0f * t / (b - t);
    pout->m[3][2] = zn / (zn -zf);
    return pout;
}

D3DXMatrixOrthoOffCenterRH()

D3DXMATRIX *WINAPI D3DXMatrixOrthoOffCenterRH	(	D3DXMATRIX *	pout,
		FLOAT	l,
		FLOAT	r,
		FLOAT	b,
		FLOAT	t,
		FLOAT	zn,
		FLOAT	zf
	)

Definition at line 453 of file math.c.

{
    TRACE("pout %p, l %f, r %f, b %f, t %f, zn %f, zf %f\n", pout, l, r, b, t, zn, zf);
 
    D3DXMatrixIdentity(pout);
    pout->m[0][0] = 2.0f / (r - l);
    pout->m[1][1] = 2.0f / (t - b);
    pout->m[2][2] = 1.0f / (zn -zf);
    pout->m[3][0] = -1.0f -2.0f *l / (r - l);
    pout->m[3][1] = 1.0f + 2.0f * t / (b - t);
    pout->m[3][2] = zn / (zn -zf);
    return pout;
}

D3DXMatrixOrthoRH()

D3DXMATRIX *WINAPI D3DXMatrixOrthoRH	(	D3DXMATRIX *	pout,
		FLOAT	w,
		FLOAT	h,
		FLOAT	zn,
		FLOAT	zf
	)

Definition at line 467 of file math.c.

{
    TRACE("pout %p, w %f, h %f, zn %f, zf %f\n", pout, w, h, zn, zf);
 
    D3DXMatrixIdentity(pout);
    pout->m[0][0] = 2.0f / w;
    pout->m[1][1] = 2.0f / h;
    pout->m[2][2] = 1.0f / (zn - zf);
    pout->m[3][2] = zn / (zn - zf);
    return pout;
}

D3DXMatrixPerspectiveFovLH()

D3DXMATRIX *WINAPI D3DXMatrixPerspectiveFovLH	(	D3DXMATRIX *	pout,
		FLOAT	fovy,
		FLOAT	aspect,
		FLOAT	zn,
		FLOAT	zf
	)

Definition at line 479 of file math.c.

{
    TRACE("pout %p, fovy %f, aspect %f, zn %f, zf %f\n", pout, fovy, aspect, zn, zf);
 
    D3DXMatrixIdentity(pout);
    pout->m[0][0] = 1.0f / (aspect * tanf(fovy/2.0f));
    pout->m[1][1] = 1.0f / tanf(fovy/2.0f);
    pout->m[2][2] = zf / (zf - zn);
    pout->m[2][3] = 1.0f;
    pout->m[3][2] = (zf * zn) / (zn - zf);
    pout->m[3][3] = 0.0f;
    return pout;
}

D3DXMatrixPerspectiveFovRH()

D3DXMATRIX *WINAPI D3DXMatrixPerspectiveFovRH	(	D3DXMATRIX *	pout,
		FLOAT	fovy,
		FLOAT	aspect,
		FLOAT	zn,
		FLOAT	zf
	)

Definition at line 493 of file math.c.

{
    TRACE("pout %p, fovy %f, aspect %f, zn %f, zf %f\n", pout, fovy, aspect, zn, zf);
 
    D3DXMatrixIdentity(pout);
    pout->m[0][0] = 1.0f / (aspect * tanf(fovy/2.0f));
    pout->m[1][1] = 1.0f / tanf(fovy/2.0f);
    pout->m[2][2] = zf / (zn - zf);
    pout->m[2][3] = -1.0f;
    pout->m[3][2] = (zf * zn) / (zn - zf);
    pout->m[3][3] = 0.0f;
    return pout;
}

D3DXMatrixPerspectiveLH()

D3DXMATRIX *WINAPI D3DXMatrixPerspectiveLH	(	D3DXMATRIX *	pout,
		FLOAT	w,
		FLOAT	h,
		FLOAT	zn,
		FLOAT	zf
	)

Definition at line 507 of file math.c.

{
    TRACE("pout %p, w %f, h %f, zn %f, zf %f\n", pout, w, h, zn, zf);
 
    D3DXMatrixIdentity(pout);
    pout->m[0][0] = 2.0f * zn / w;
    pout->m[1][1] = 2.0f * zn / h;
    pout->m[2][2] = zf / (zf - zn);
    pout->m[3][2] = (zn * zf) / (zn - zf);
    pout->m[2][3] = 1.0f;
    pout->m[3][3] = 0.0f;
    return pout;
}

D3DXMatrixPerspectiveOffCenterLH()

D3DXMATRIX *WINAPI D3DXMatrixPerspectiveOffCenterLH	(	D3DXMATRIX *	pout,
		FLOAT	l,
		FLOAT	r,
		FLOAT	b,
		FLOAT	t,
		FLOAT	zn,
		FLOAT	zf
	)

Definition at line 521 of file math.c.

{
    TRACE("pout %p, l %f, r %f, b %f, t %f, zn %f, zf %f\n", pout, l, r, b, t, zn, zf);
 
    D3DXMatrixIdentity(pout);
    pout->m[0][0] = 2.0f * zn / (r - l);
    pout->m[1][1] = -2.0f * zn / (b - t);
    pout->m[2][0] = -1.0f - 2.0f * l / (r - l);
    pout->m[2][1] = 1.0f + 2.0f * t / (b - t);
    pout->m[2][2] = - zf / (zn - zf);
    pout->m[3][2] = (zn * zf) / (zn -zf);
    pout->m[2][3] = 1.0f;
    pout->m[3][3] = 0.0f;
    return pout;
}

D3DXMatrixPerspectiveOffCenterRH()

D3DXMATRIX *WINAPI D3DXMatrixPerspectiveOffCenterRH	(	D3DXMATRIX *	pout,
		FLOAT	l,
		FLOAT	r,
		FLOAT	b,
		FLOAT	t,
		FLOAT	zn,
		FLOAT	zf
	)

Definition at line 537 of file math.c.

{
    TRACE("pout %p, l %f, r %f, b %f, t %f, zn %f, zf %f\n", pout, l, r, b, t, zn, zf);
 
    D3DXMatrixIdentity(pout);
    pout->m[0][0] = 2.0f * zn / (r - l);
    pout->m[1][1] = -2.0f * zn / (b - t);
    pout->m[2][0] = 1.0f + 2.0f * l / (r - l);
    pout->m[2][1] = -1.0f -2.0f * t / (b - t);
    pout->m[2][2] = zf / (zn - zf);
    pout->m[3][2] = (zn * zf) / (zn -zf);
    pout->m[2][3] = -1.0f;
    pout->m[3][3] = 0.0f;
    return pout;
}

D3DXMatrixPerspectiveRH()

D3DXMATRIX *WINAPI D3DXMatrixPerspectiveRH	(	D3DXMATRIX *	pout,
		FLOAT	w,
		FLOAT	h,
		FLOAT	zn,
		FLOAT	zf
	)

Definition at line 553 of file math.c.

{
    TRACE("pout %p, w %f, h %f, zn %f, zf %f\n", pout, w, h, zn, zf);
 
    D3DXMatrixIdentity(pout);
    pout->m[0][0] = 2.0f * zn / w;
    pout->m[1][1] = 2.0f * zn / h;
    pout->m[2][2] = zf / (zn - zf);
    pout->m[3][2] = (zn * zf) / (zn - zf);
    pout->m[2][3] = -1.0f;
    pout->m[3][3] = 0.0f;
    return pout;
}

D3DXMatrixReflect()

D3DXMATRIX *WINAPI D3DXMatrixReflect	(	D3DXMATRIX *	pout,
		const D3DXPLANE *	pplane
	)

Definition at line 567 of file math.c.

{
    D3DXPLANE Nplane;
 
    TRACE("pout %p, pplane %p\n", pout, pplane);
 
    D3DXPlaneNormalize(&Nplane, pplane);
    D3DXMatrixIdentity(pout);
    pout->m[0][0] = 1.0f - 2.0f * Nplane.a * Nplane.a;
    pout->m[0][1] = -2.0f * Nplane.a * Nplane.b;
    pout->m[0][2] = -2.0f * Nplane.a * Nplane.c;
    pout->m[1][0] = -2.0f * Nplane.a * Nplane.b;
    pout->m[1][1] = 1.0f - 2.0f * Nplane.b * Nplane.b;
    pout->m[1][2] = -2.0f * Nplane.b * Nplane.c;
    pout->m[2][0] = -2.0f * Nplane.c * Nplane.a;
    pout->m[2][1] = -2.0f * Nplane.c * Nplane.b;
    pout->m[2][2] = 1.0f - 2.0f * Nplane.c * Nplane.c;
    pout->m[3][0] = -2.0f * Nplane.d * Nplane.a;
    pout->m[3][1] = -2.0f * Nplane.d * Nplane.b;
    pout->m[3][2] = -2.0f * Nplane.d * Nplane.c;
    return pout;
}

D3DXMatrixRotationAxis()

D3DXMATRIX *WINAPI D3DXMatrixRotationAxis	(	D3DXMATRIX *	pout,
		const D3DXVECTOR3 *	pv,
		FLOAT	angle
	)

Definition at line 590 of file math.c.

{
    D3DXVECTOR3 nv;
    FLOAT sangle, cangle, cdiff;
 
    TRACE("out %p, v %p, angle %f\n", out, v, angle);
 
    D3DXVec3Normalize(&nv, v);
    sangle = sinf(angle);
    cangle = cosf(angle);
    cdiff = 1.0f - cangle;
 
    out->m[0][0] = cdiff * nv.x * nv.x + cangle;
    out->m[1][0] = cdiff * nv.x * nv.y - sangle * nv.z;
    out->m[2][0] = cdiff * nv.x * nv.z + sangle * nv.y;
    out->m[3][0] = 0.0f;
    out->m[0][1] = cdiff * nv.y * nv.x + sangle * nv.z;
    out->m[1][1] = cdiff * nv.y * nv.y + cangle;
    out->m[2][1] = cdiff * nv.y * nv.z - sangle * nv.x;
    out->m[3][1] = 0.0f;
    out->m[0][2] = cdiff * nv.z * nv.x - sangle * nv.y;
    out->m[1][2] = cdiff * nv.z * nv.y + sangle * nv.x;
    out->m[2][2] = cdiff * nv.z * nv.z + cangle;
    out->m[3][2] = 0.0f;
    out->m[0][3] = 0.0f;
    out->m[1][3] = 0.0f;
    out->m[2][3] = 0.0f;
    out->m[3][3] = 1.0f;
 
    return out;
}

D3DXMatrixRotationQuaternion()

D3DXMATRIX *WINAPI D3DXMatrixRotationQuaternion	(	D3DXMATRIX *	pout,
		const D3DXQUATERNION *	pq
	)

Definition at line 622 of file math.c.

{
    TRACE("pout %p, pq %p\n", pout, pq);
 
    D3DXMatrixIdentity(pout);
    pout->m[0][0] = 1.0f - 2.0f * (pq->y * pq->y + pq->z * pq->z);
    pout->m[0][1] = 2.0f * (pq->x *pq->y + pq->z * pq->w);
    pout->m[0][2] = 2.0f * (pq->x * pq->z - pq->y * pq->w);
    pout->m[1][0] = 2.0f * (pq->x * pq->y - pq->z * pq->w);
    pout->m[1][1] = 1.0f - 2.0f * (pq->x * pq->x + pq->z * pq->z);
    pout->m[1][2] = 2.0f * (pq->y *pq->z + pq->x *pq->w);
    pout->m[2][0] = 2.0f * (pq->x * pq->z + pq->y * pq->w);
    pout->m[2][1] = 2.0f * (pq->y *pq->z - pq->x *pq->w);
    pout->m[2][2] = 1.0f - 2.0f * (pq->x * pq->x + pq->y * pq->y);
    return pout;
}

D3DXMatrixRotationX()

D3DXMATRIX *WINAPI D3DXMatrixRotationX	(	D3DXMATRIX *	pout,
		FLOAT	angle
	)

Definition at line 639 of file math.c.

{
    TRACE("pout %p, angle %f\n", pout, angle);
 
    D3DXMatrixIdentity(pout);
    pout->m[1][1] = cosf(angle);
    pout->m[2][2] = cosf(angle);
    pout->m[1][2] = sinf(angle);
    pout->m[2][1] = -sinf(angle);
    return pout;
}

D3DXMatrixRotationY()

D3DXMATRIX *WINAPI D3DXMatrixRotationY	(	D3DXMATRIX *	pout,
		FLOAT	angle
	)

Definition at line 651 of file math.c.

{
    TRACE("pout %p, angle %f\n", pout, angle);
 
    D3DXMatrixIdentity(pout);
    pout->m[0][0] = cosf(angle);
    pout->m[2][2] = cosf(angle);
    pout->m[0][2] = -sinf(angle);
    pout->m[2][0] = sinf(angle);
    return pout;
}

D3DXMatrixRotationYawPitchRoll()

D3DXMATRIX *WINAPI D3DXMatrixRotationYawPitchRoll	(	D3DXMATRIX *	pout,
		FLOAT	yaw,
		FLOAT	pitch,
		FLOAT	roll
	)

Definition at line 663 of file math.c.

{
    FLOAT sroll, croll, spitch, cpitch, syaw, cyaw;
 
    TRACE("out %p, yaw %f, pitch %f, roll %f\n", out, yaw, pitch, roll);
 
    sroll = sinf(roll);
    croll = cosf(roll);
    spitch = sinf(pitch);
    cpitch = cosf(pitch);
    syaw = sinf(yaw);
    cyaw = cosf(yaw);
 
    out->m[0][0] = sroll * spitch * syaw + croll * cyaw;
    out->m[0][1] = sroll * cpitch;
    out->m[0][2] = sroll * spitch * cyaw - croll * syaw;
    out->m[0][3] = 0.0f;
    out->m[1][0] = croll * spitch * syaw - sroll * cyaw;
    out->m[1][1] = croll * cpitch;
    out->m[1][2] = croll * spitch * cyaw + sroll * syaw;
    out->m[1][3] = 0.0f;
    out->m[2][0] = cpitch * syaw;
    out->m[2][1] = -spitch;
    out->m[2][2] = cpitch * cyaw;
    out->m[2][3] = 0.0f;
    out->m[3][0] = 0.0f;
    out->m[3][1] = 0.0f;
    out->m[3][2] = 0.0f;
    out->m[3][3] = 1.0f;
 
    return out;
}

D3DXMatrixRotationZ()

D3DXMATRIX *WINAPI D3DXMatrixRotationZ	(	D3DXMATRIX *	pout,
		FLOAT	angle
	)

Definition at line 696 of file math.c.

{
    TRACE("pout %p, angle %f\n", pout, angle);
 
    D3DXMatrixIdentity(pout);
    pout->m[0][0] = cosf(angle);
    pout->m[1][1] = cosf(angle);
    pout->m[0][1] = sinf(angle);
    pout->m[1][0] = -sinf(angle);
    return pout;
}

D3DXMatrixScaling()

D3DXMATRIX *WINAPI D3DXMatrixScaling	(	D3DXMATRIX *	pout,
		FLOAT	sx,
		FLOAT	sy,
		FLOAT	sz
	)

Definition at line 708 of file math.c.

{
    TRACE("pout %p, sx %f, sy %f, sz %f\n", pout, sx, sy, sz);
 
    D3DXMatrixIdentity(pout);
    pout->m[0][0] = sx;
    pout->m[1][1] = sy;
    pout->m[2][2] = sz;
    return pout;
}

D3DXMatrixShadow()

D3DXMATRIX *WINAPI D3DXMatrixShadow	(	D3DXMATRIX *	pout,
		const D3DXVECTOR4 *	plight,
		const D3DXPLANE *	pPlane
	)

Definition at line 719 of file math.c.

{
    D3DXPLANE Nplane;
    FLOAT dot;
 
    TRACE("pout %p, plight %p, pplane %p\n", pout, plight, pplane);
 
    D3DXPlaneNormalize(&Nplane, pplane);
    dot = D3DXPlaneDot(&Nplane, plight);
    pout->m[0][0] = dot - Nplane.a * plight->x;
    pout->m[0][1] = -Nplane.a * plight->y;
    pout->m[0][2] = -Nplane.a * plight->z;
    pout->m[0][3] = -Nplane.a * plight->w;
    pout->m[1][0] = -Nplane.b * plight->x;
    pout->m[1][1] = dot - Nplane.b * plight->y;
    pout->m[1][2] = -Nplane.b * plight->z;
    pout->m[1][3] = -Nplane.b * plight->w;
    pout->m[2][0] = -Nplane.c * plight->x;
    pout->m[2][1] = -Nplane.c * plight->y;
    pout->m[2][2] = dot - Nplane.c * plight->z;
    pout->m[2][3] = -Nplane.c * plight->w;
    pout->m[3][0] = -Nplane.d * plight->x;
    pout->m[3][1] = -Nplane.d * plight->y;
    pout->m[3][2] = -Nplane.d * plight->z;
    pout->m[3][3] = dot - Nplane.d * plight->w;
    return pout;
}

D3DXMatrixTransformation()

D3DXMATRIX *WINAPI D3DXMatrixTransformation	(	D3DXMATRIX *	pout,
		const D3DXVECTOR3 *	pscalingcenter,
		const D3DXQUATERNION *	pscalingrotation,
		const D3DXVECTOR3 *	pscaling,
		const D3DXVECTOR3 *	protationcenter,
		const D3DXQUATERNION *	protation,
		const D3DXVECTOR3 *	ptranslation
	)

Definition at line 747 of file math.c.

{
    static const D3DXVECTOR3 zero_vector;
    D3DXMATRIX m1, msr1, ms, msr, msc, mrc1, mr, mrc, mt;
    D3DXVECTOR3 sc, rc;
    D3DXQUATERNION q;
 
    TRACE("out %p, scaling_center %p, scaling_rotation %p, scaling %p, rotation_center %p,"
            " rotation %p, translation %p.\n",
            out, scaling_center, scaling_rotation, scaling, rotation_center, rotation, translation);
 
    if (scaling)
    {
        sc = scaling_center ? *scaling_center : zero_vector;
        D3DXMatrixTranslation(&m1, -sc.x, -sc.y, -sc.z);
        if (scaling_rotation)
        {
            q.x = -scaling_rotation->x;
            q.y = -scaling_rotation->y;
            q.z = -scaling_rotation->z;
            q.w = scaling_rotation->w;
            D3DXMatrixRotationQuaternion(&msr1, &q);
            D3DXMatrixMultiply(&m1, &m1, &msr1);
        }
        D3DXMatrixScaling(&ms, scaling->x, scaling->y, scaling->z);
        D3DXMatrixMultiply(&m1, &m1, &ms);
        if (scaling_rotation)
        {
            D3DXMatrixRotationQuaternion(&msr, scaling_rotation);
            D3DXMatrixMultiply(&m1, &m1, &msr);
        }
        D3DXMatrixTranslation(&msc, sc.x, sc.y, sc.z);
        D3DXMatrixMultiply(&m1, &m1, &msc);
    }
    else
    {
        D3DXMatrixIdentity(&m1);
    }
 
    if (rotation)
    {
        rc = rotation_center ? *rotation_center : zero_vector;
        D3DXMatrixTranslation(&mrc1, -rc.x, -rc.y, -rc.z);
        D3DXMatrixMultiply(&m1, &m1, &mrc1);
        D3DXMatrixRotationQuaternion(&mr, rotation);
        D3DXMatrixMultiply(&m1, &m1, &mr);
        D3DXMatrixTranslation(&mrc, rc.x, rc.y, rc.z);
        D3DXMatrixMultiply(&m1, &m1, &mrc);
    }
 
    if (translation)
    {
        D3DXMatrixTranslation(&mt, translation->x, translation->y, translation->z);
        D3DXMatrixMultiply(out, &m1, &mt);
    }
    else
    {
        *out = m1;
    }
 
    return out;
}

D3DXMatrixTransformation2D()

D3DXMATRIX *WINAPI D3DXMatrixTransformation2D	(	D3DXMATRIX *	pout,
		const D3DXVECTOR2 *	pscalingcenter,
		FLOAT	scalingrotation,
		const D3DXVECTOR2 *	pscaling,
		const D3DXVECTOR2 *	protationcenter,
		FLOAT	rotation,
		const D3DXVECTOR2 *	ptranslation
	)

Definition at line 823 of file math.c.

{
    D3DXVECTOR3 r_c, s, s_c, t;
    D3DXQUATERNION r, s_r;
 
    TRACE("out %p, scaling_center %p, scaling_rotation %.8e, scaling %p, rotation_center %p, "
            "rotation %.8e, translation %p.\n",
            out, scaling_center, scaling_rotation, scaling, rotation_center, rotation, translation);
 
    vec3_from_vec2(&s_c, scaling_center);
    vec3_from_vec2(&s, scaling);
    if (scaling)
        s.z = 1.0f;
    vec3_from_vec2(&r_c, rotation_center);
    vec3_from_vec2(&t, translation);
 
    if (rotation)
    {
        r.w = cosf(rotation / 2.0f);
        r.x = 0.0f;
        r.y = 0.0f;
        r.z = sinf(rotation / 2.0f);
    }
 
    if (scaling_rotation)
    {
        s_r.w = cosf(scaling_rotation / 2.0f);
        s_r.x = 0.0f;
        s_r.y = 0.0f;
        s_r.z = sinf(scaling_rotation / 2.0f);
    }
 
    return D3DXMatrixTransformation(out, scaling_center ? &s_c : NULL,
            scaling_rotation ? &s_r : NULL, scaling ? &s : NULL, rotation_center ? &r_c: NULL,
            rotation ? &r : NULL, translation ? &t : NULL);
}

D3DXMatrixTranslation()

D3DXMATRIX *WINAPI D3DXMatrixTranslation	(	D3DXMATRIX *	pout,
		FLOAT	x,
		FLOAT	y,
		FLOAT	z
	)

Definition at line 862 of file math.c.

{
    TRACE("pout %p, x %f, y %f, z %f\n", pout, x, y, z);
 
    D3DXMatrixIdentity(pout);
    pout->m[3][0] = x;
    pout->m[3][1] = y;
    pout->m[3][2] = z;
    return pout;
}

D3DXMatrixTranspose()

D3DXMATRIX *WINAPI D3DXMatrixTranspose	(	D3DXMATRIX *	pout,
		const D3DXMATRIX *	pm
	)

Definition at line 873 of file math.c.

{
    unsigned int i, j;
    D3DXMATRIX m;
 
    TRACE("out %p, in %p.\n", out, in);
 
    m = *in;
 
    for (i = 0; i < 4; ++i)
        for (j = 0; j < 4; ++j) out->m[i][j] = m.m[j][i];
 
    return out;
}

D3DXPlaneFromPointNormal()

D3DXPLANE *WINAPI D3DXPlaneFromPointNormal	(	D3DXPLANE *	pout,
		const D3DXVECTOR3 *	pvpoint,
		const D3DXVECTOR3 *	pvnormal
	)

Definition at line 1204 of file math.c.

{
    TRACE("pout %p, pvpoint %p, pvnormal %p\n", pout, pvpoint, pvnormal);
 
    pout->a = pvnormal->x;
    pout->b = pvnormal->y;
    pout->c = pvnormal->z;
    pout->d = -D3DXVec3Dot(pvpoint, pvnormal);
    return pout;
}

D3DXPlaneFromPoints()

D3DXPLANE *WINAPI D3DXPlaneFromPoints	(	D3DXPLANE *	pout,
		const D3DXVECTOR3 *	pv1,
		const D3DXVECTOR3 *	pv2,
		const D3DXVECTOR3 *	pv3
	)

Definition at line 1215 of file math.c.

{
    D3DXVECTOR3 edge1, edge2, normal, Nnormal;
 
    TRACE("pout %p, pv1 %p, pv2 %p, pv3 %p\n", pout, pv1, pv2, pv3);
 
    edge1.x = 0.0f; edge1.y = 0.0f; edge1.z = 0.0f;
    edge2.x = 0.0f; edge2.y = 0.0f; edge2.z = 0.0f;
    D3DXVec3Subtract(&edge1, pv2, pv1);
    D3DXVec3Subtract(&edge2, pv3, pv1);
    D3DXVec3Cross(&normal, &edge1, &edge2);
    D3DXVec3Normalize(&Nnormal, &normal);
    D3DXPlaneFromPointNormal(pout, pv1, &Nnormal);
    return pout;
}

D3DXPlaneIntersectLine()

D3DXVECTOR3 *WINAPI D3DXPlaneIntersectLine	(	D3DXVECTOR3 *	pout,
		const D3DXPLANE *	pp,
		const D3DXVECTOR3 *	pv1,
		const D3DXVECTOR3 *	pv2
	)

Definition at line 1231 of file math.c.

{
    D3DXVECTOR3 direction, normal;
    FLOAT dot, temp;
 
    TRACE("pout %p, pp %p, pv1 %p, pv2 %p\n", pout, pp, pv1, pv2);
 
    normal.x = pp->a;
    normal.y = pp->b;
    normal.z = pp->c;
    direction.x = pv2->x - pv1->x;
    direction.y = pv2->y - pv1->y;
    direction.z = pv2->z - pv1->z;
    dot = D3DXVec3Dot(&normal, &direction);
    if ( !dot ) return NULL;
    temp = ( pp->d + D3DXVec3Dot(&normal, pv1) ) / dot;
    pout->x = pv1->x - temp * direction.x;
    pout->y = pv1->y - temp * direction.y;
    pout->z = pv1->z - temp * direction.z;
    return pout;
}

D3DXPlaneNormalize()

D3DXPLANE *WINAPI D3DXPlaneNormalize	(	D3DXPLANE *	pout,
		const D3DXPLANE *	pp
	)

Definition at line 1253 of file math.c.

{
    FLOAT norm;
 
    TRACE("out %p, p %p\n", out, p);
 
    norm = sqrtf(p->a * p->a + p->b * p->b + p->c * p->c);
    if (norm)
    {
        out->a = p->a / norm;
        out->b = p->b / norm;
        out->c = p->c / norm;
        out->d = p->d / norm;
    }
    else
    {
        out->a = 0.0f;
        out->b = 0.0f;
        out->c = 0.0f;
        out->d = 0.0f;
    }
 
    return out;
}

D3DXPlaneTransform()

D3DXPLANE *WINAPI D3DXPlaneTransform	(	D3DXPLANE *	pout,
		const D3DXPLANE *	pplane,
		const D3DXMATRIX *	pm
	)

Definition at line 1278 of file math.c.

{
    const D3DXPLANE plane = *pplane;
 
    TRACE("pout %p, pplane %p, pm %p\n", pout, pplane, pm);
 
    pout->a = pm->m[0][0] * plane.a + pm->m[1][0] * plane.b + pm->m[2][0] * plane.c + pm->m[3][0] * plane.d;
    pout->b = pm->m[0][1] * plane.a + pm->m[1][1] * plane.b + pm->m[2][1] * plane.c + pm->m[3][1] * plane.d;
    pout->c = pm->m[0][2] * plane.a + pm->m[1][2] * plane.b + pm->m[2][2] * plane.c + pm->m[3][2] * plane.d;
    pout->d = pm->m[0][3] * plane.a + pm->m[1][3] * plane.b + pm->m[2][3] * plane.c + pm->m[3][3] * plane.d;
    return pout;
}

D3DXPlaneTransformArray()

D3DXPLANE *WINAPI D3DXPlaneTransformArray	(	D3DXPLANE *	pout,
		UINT	outstride,
		const D3DXPLANE *	pplane,
		UINT	pstride,
		const D3DXMATRIX *	pm,
		UINT	n
	)

Definition at line 1291 of file math.c.

{
    UINT i;
 
    TRACE("out %p, outstride %u, in %p, instride %u, matrix %p, elements %u\n", out, outstride, in, instride, matrix, elements);
 
    for (i = 0; i < elements; ++i) {
        D3DXPlaneTransform(
            (D3DXPLANE*)((char*)out + outstride * i),
            (const D3DXPLANE*)((const char*)in + instride * i),
            matrix);
    }
    return out;
}

D3DXQuaternionBaryCentric()

D3DXQUATERNION *WINAPI D3DXQuaternionBaryCentric	(	D3DXQUATERNION *	pout,
		const D3DXQUATERNION *	pq1,
		const D3DXQUATERNION *	pq2,
		const D3DXQUATERNION *	pq3,
		FLOAT	f,
		FLOAT	g
	)

Definition at line 1308 of file math.c.

{
    D3DXQUATERNION temp1, temp2;
 
     TRACE("pout %p, pq1 %p, pq2 %p, pq3 %p, f %f, g %f\n", pout, pq1, pq2, pq3, f, g);
 
    D3DXQuaternionSlerp(pout, D3DXQuaternionSlerp(&temp1, pq1, pq2, f + g), D3DXQuaternionSlerp(&temp2, pq1, pq3, f+g), g / (f + g));
    return pout;
}

D3DXQuaternionExp()

D3DXQUATERNION *WINAPI D3DXQuaternionExp	(	D3DXQUATERNION *	pout,
		const D3DXQUATERNION *	pq
	)

Definition at line 1318 of file math.c.

{
    FLOAT norm;
 
    TRACE("out %p, q %p\n", out, q);
 
    norm = sqrtf(q->x * q->x + q->y * q->y + q->z * q->z);
    if (norm)
    {
        out->x = sinf(norm) * q->x / norm;
        out->y = sinf(norm) * q->y / norm;
        out->z = sinf(norm) * q->z / norm;
        out->w = cosf(norm);
    }
    else
    {
        out->x = 0.0f;
        out->y = 0.0f;
        out->z = 0.0f;
        out->w = 1.0f;
    }
 
    return out;
}

D3DXQuaternionInverse()

D3DXQUATERNION *WINAPI D3DXQuaternionInverse	(	D3DXQUATERNION *	pout,
		const D3DXQUATERNION *	pq
	)

Definition at line 1343 of file math.c.

{
    FLOAT norm;
 
    TRACE("pout %p, pq %p\n", pout, pq);
 
    norm = D3DXQuaternionLengthSq(pq);
 
    pout->x = -pq->x / norm;
    pout->y = -pq->y / norm;
    pout->z = -pq->z / norm;
    pout->w = pq->w / norm;
    return pout;
}

D3DXQuaternionLn()

D3DXQUATERNION *WINAPI D3DXQuaternionLn	(	D3DXQUATERNION *	pout,
		const D3DXQUATERNION *	pq
	)

Definition at line 1358 of file math.c.

{
    FLOAT t;
 
    TRACE("out %p, q %p\n", out, q);
 
    if ((q->w >= 1.0f) || (q->w == -1.0f))
        t = 1.0f;
    else
        t = acosf(q->w) / sqrtf(1.0f - q->w * q->w);
 
    out->x = t * q->x;
    out->y = t * q->y;
    out->z = t * q->z;
    out->w = 0.0f;
 
    return out;
}

D3DXQuaternionMultiply()

D3DXQUATERNION *WINAPI D3DXQuaternionMultiply	(	D3DXQUATERNION *	pout,
		const D3DXQUATERNION *	pq1,
		const D3DXQUATERNION *	pq2
	)

Definition at line 1377 of file math.c.

{
    D3DXQUATERNION out;
 
    TRACE("pout %p, pq1 %p, pq2 %p\n", pout, pq1, pq2);
 
    out.x = pq2->w * pq1->x + pq2->x * pq1->w + pq2->y * pq1->z - pq2->z * pq1->y;
    out.y = pq2->w * pq1->y - pq2->x * pq1->z + pq2->y * pq1->w + pq2->z * pq1->x;
    out.z = pq2->w * pq1->z + pq2->x * pq1->y - pq2->y * pq1->x + pq2->z * pq1->w;
    out.w = pq2->w * pq1->w - pq2->x * pq1->x - pq2->y * pq1->y - pq2->z * pq1->z;
    *pout = out;
    return pout;
}

D3DXQuaternionNormalize()

D3DXQUATERNION *WINAPI D3DXQuaternionNormalize	(	D3DXQUATERNION *	pout,
		const D3DXQUATERNION *	pq
	)

Definition at line 1391 of file math.c.

{
    FLOAT norm;
 
    TRACE("out %p, q %p\n", out, q);
 
    norm = D3DXQuaternionLength(q);
 
    out->x = q->x / norm;
    out->y = q->y / norm;
    out->z = q->z / norm;
    out->w = q->w / norm;
 
    return out;
}

D3DXQuaternionRotationAxis()

D3DXQUATERNION *WINAPI D3DXQuaternionRotationAxis	(	D3DXQUATERNION *	pout,
		const D3DXVECTOR3 *	pv,
		FLOAT	angle
	)

Definition at line 1407 of file math.c.

{
    D3DXVECTOR3 temp;
 
    TRACE("out %p, v %p, angle %f\n", out, v, angle);
 
    D3DXVec3Normalize(&temp, v);
 
    out->x = sinf(angle / 2.0f) * temp.x;
    out->y = sinf(angle / 2.0f) * temp.y;
    out->z = sinf(angle / 2.0f) * temp.z;
    out->w = cosf(angle / 2.0f);
 
    return out;
}

D3DXQuaternionRotationMatrix()

D3DXQUATERNION *WINAPI D3DXQuaternionRotationMatrix	(	D3DXQUATERNION *	pout,
		const D3DXMATRIX *	pm
	)

Definition at line 1423 of file math.c.

{
    FLOAT s, trace;
 
    TRACE("out %p, m %p\n", out, m);
 
    trace = m->m[0][0] + m->m[1][1] + m->m[2][2] + 1.0f;
    if (trace > 1.0f)
    {
        s = 2.0f * sqrtf(trace);
        out->x = (m->m[1][2] - m->m[2][1]) / s;
        out->y = (m->m[2][0] - m->m[0][2]) / s;
        out->z = (m->m[0][1] - m->m[1][0]) / s;
        out->w = 0.25f * s;
    }
    else
    {
        int i, maxi = 0;
 
        for (i = 1; i < 3; i++)
        {
            if (m->m[i][i] > m->m[maxi][maxi])
                maxi = i;
        }
 
        switch (maxi)
        {
            case 0:
                s = 2.0f * sqrtf(1.0f + m->m[0][0] - m->m[1][1] - m->m[2][2]);
                out->x = 0.25f * s;
                out->y = (m->m[0][1] + m->m[1][0]) / s;
                out->z = (m->m[0][2] + m->m[2][0]) / s;
                out->w = (m->m[1][2] - m->m[2][1]) / s;
                break;
 
            case 1:
                s = 2.0f * sqrtf(1.0f + m->m[1][1] - m->m[0][0] - m->m[2][2]);
                out->x = (m->m[0][1] + m->m[1][0]) / s;
                out->y = 0.25f * s;
                out->z = (m->m[1][2] + m->m[2][1]) / s;
                out->w = (m->m[2][0] - m->m[0][2]) / s;
                break;
 
            case 2:
                s = 2.0f * sqrtf(1.0f + m->m[2][2] - m->m[0][0] - m->m[1][1]);
                out->x = (m->m[0][2] + m->m[2][0]) / s;
                out->y = (m->m[1][2] + m->m[2][1]) / s;
                out->z = 0.25f * s;
                out->w = (m->m[0][1] - m->m[1][0]) / s;
                break;
        }
    }
 
    return out;
}

D3DXQuaternionRotationYawPitchRoll()

D3DXQUATERNION *WINAPI D3DXQuaternionRotationYawPitchRoll	(	D3DXQUATERNION *	pout,
		FLOAT	yaw,
		FLOAT	pitch,
		FLOAT	roll
	)

Definition at line 1479 of file math.c.

{
    FLOAT syaw, cyaw, spitch, cpitch, sroll, croll;
 
    TRACE("out %p, yaw %f, pitch %f, roll %f\n", out, yaw, pitch, roll);
 
    syaw = sinf(yaw / 2.0f);
    cyaw = cosf(yaw / 2.0f);
    spitch = sinf(pitch / 2.0f);
    cpitch = cosf(pitch / 2.0f);
    sroll = sinf(roll / 2.0f);
    croll = cosf(roll / 2.0f);
 
    out->x = syaw * cpitch * sroll + cyaw * spitch * croll;
    out->y = syaw * cpitch * croll - cyaw * spitch * sroll;
    out->z = cyaw * cpitch * sroll - syaw * spitch * croll;
    out->w = cyaw * cpitch * croll + syaw * spitch * sroll;
 
    return out;
}

D3DXQuaternionSlerp()

D3DXQUATERNION *WINAPI D3DXQuaternionSlerp	(	D3DXQUATERNION *	pout,
		const D3DXQUATERNION *	pq1,
		const D3DXQUATERNION *	pq2,
		FLOAT	t
	)

Definition at line 1500 of file math.c.

{
    FLOAT dot, temp;
 
    TRACE("out %p, q1 %p, q2 %p, t %f\n", out, q1, q2, t);
 
    temp = 1.0f - t;
    dot = D3DXQuaternionDot(q1, q2);
    if (dot < 0.0f)
    {
        t = -t;
        dot = -dot;
    }
 
    if (1.0f - dot > 0.001f)
    {
        FLOAT theta = acosf(dot);
 
        temp = sinf(theta * temp) / sinf(theta);
        t = sinf(theta * t) / sinf(theta);
    }
 
    out->x = temp * q1->x + t * q2->x;
    out->y = temp * q1->y + t * q2->y;
    out->z = temp * q1->z + t * q2->z;
    out->w = temp * q1->w + t * q2->w;
 
    return out;
}

D3DXQuaternionSquad()

D3DXQUATERNION *WINAPI D3DXQuaternionSquad	(	D3DXQUATERNION *	pout,
		const D3DXQUATERNION *	pq1,
		const D3DXQUATERNION *	pq2,
		const D3DXQUATERNION *	pq3,
		const D3DXQUATERNION *	pq4,
		FLOAT	t
	)

Definition at line 1531 of file math.c.

{
    D3DXQUATERNION temp1, temp2;
 
    TRACE("pout %p, pq1 %p, pq2 %p, pq3 %p, pq4 %p, t %f\n", pout, pq1, pq2, pq3, pq4, t);
 
    D3DXQuaternionSlerp(pout, D3DXQuaternionSlerp(&temp1, pq1, pq4, t), D3DXQuaternionSlerp(&temp2, pq2, pq3, t), 2.0f * t * (1.0f - t));
    return pout;
}

D3DXQuaternionSquadSetup()

void WINAPI D3DXQuaternionSquadSetup	(	D3DXQUATERNION *	paout,
		D3DXQUATERNION *	pbout,
		D3DXQUATERNION *	pcout,
		const D3DXQUATERNION *	pq0,
		const D3DXQUATERNION *	pq1,
		const D3DXQUATERNION *	pq2,
		const D3DXQUATERNION *	pq3
	)

Definition at line 1553 of file math.c.

{
    D3DXQUATERNION q, temp1, temp2, temp3, zero;
    D3DXQUATERNION aout, cout;
 
    TRACE("paout %p, pbout %p, pcout %p, pq0 %p, pq1 %p, pq2 %p, pq3 %p\n", paout, pbout, pcout, pq0, pq1, pq2, pq3);
 
    zero.x = 0.0f;
    zero.y = 0.0f;
    zero.z = 0.0f;
    zero.w = 0.0f;
 
    if (D3DXQuaternionDot(pq0, pq1) < 0.0f)
        temp2 = add_diff(&zero, pq0, -1.0f);
    else
        temp2 = *pq0;
 
    if (D3DXQuaternionDot(pq1, pq2) < 0.0f)
        cout = add_diff(&zero, pq2, -1.0f);
    else
        cout = *pq2;
 
    if (D3DXQuaternionDot(&cout, pq3) < 0.0f)
        temp3 = add_diff(&zero, pq3, -1.0f);
    else
        temp3 = *pq3;
 
    D3DXQuaternionInverse(&temp1, pq1);
    D3DXQuaternionMultiply(&temp2, &temp1, &temp2);
    D3DXQuaternionLn(&temp2, &temp2);
    D3DXQuaternionMultiply(&q, &temp1, &cout);
    D3DXQuaternionLn(&q, &q);
    temp1 = add_diff(&temp2, &q, 1.0f);
    temp1.x *= -0.25f;
    temp1.y *= -0.25f;
    temp1.z *= -0.25f;
    temp1.w *= -0.25f;
    D3DXQuaternionExp(&temp1, &temp1);
    D3DXQuaternionMultiply(&aout, pq1, &temp1);
 
    D3DXQuaternionInverse(&temp1, &cout);
    D3DXQuaternionMultiply(&temp2, &temp1, pq1);
    D3DXQuaternionLn(&temp2, &temp2);
    D3DXQuaternionMultiply(&q, &temp1, &temp3);
    D3DXQuaternionLn(&q, &q);
    temp1 = add_diff(&temp2, &q, 1.0f);
    temp1.x *= -0.25f;
    temp1.y *= -0.25f;
    temp1.z *= -0.25f;
    temp1.w *= -0.25f;
    D3DXQuaternionExp(&temp1, &temp1);
    D3DXQuaternionMultiply(pbout, &cout, &temp1);
    *paout = aout;
    *pcout = cout;
}

D3DXQuaternionToAxisAngle()

void WINAPI D3DXQuaternionToAxisAngle	(	const D3DXQUATERNION *	pq,
		D3DXVECTOR3 *	paxis,
		FLOAT *	pangle
	)

Definition at line 1609 of file math.c.

{
    TRACE("pq %p, paxis %p, pangle %p\n", pq, paxis, pangle);
 
    if (paxis)
    {
        paxis->x = pq->x;
        paxis->y = pq->y;
        paxis->z = pq->z;
    }
    if (pangle)
        *pangle = 2.0f * acosf(pq->w);
}

D3DXSHAdd()

FLOAT *WINAPI D3DXSHAdd	(	FLOAT *	out,
		UINT	order,
		const FLOAT *	a,
		const FLOAT *	b
	)

Definition at line 2237 of file math.c.

{
    UINT i;
 
    TRACE("out %p, order %u, a %p, b %p\n", out, order, a, b);
 
    for (i = 0; i < order * order; i++)
        out[i] = a[i] + b[i];
 
    return out;
}

D3DXSHDot()

FLOAT WINAPI D3DXSHDot	(	UINT	order,
		const FLOAT *	a,
		const FLOAT *	b
	)

Definition at line 2249 of file math.c.

{
    FLOAT s;
    UINT i;
 
    TRACE("order %u, a %p, b %p\n", order, a, b);
 
    s = a[0] * b[0];
    for (i = 1; i < order * order; i++)
        s += a[i] * b[i];
 
    return s;
}

D3DXSHEvalConeLight()

HRESULT WINAPI D3DXSHEvalConeLight	(	UINT	order,
		const D3DXVECTOR3 *	dir,
		FLOAT	radius,
		FLOAT	Rintensity,
		FLOAT	Gintensity,
		FLOAT	Bintensity,
		FLOAT *	rout,
		FLOAT *	gout,
		FLOAT *	bout
	)

Definition at line 2292 of file math.c.

{
    FLOAT cap[6], clamped_angle, norm, scale, temp;
    UINT i, index, j;
 
    TRACE("order %u, dir %p, radius %f, red %f, green %f, blue %f, rout %p, gout %p, bout %p\n",
        order, dir, radius, Rintensity, Gintensity, Bintensity, rout, gout, bout);
 
    if (radius <= 0.0f)
        return D3DXSHEvalDirectionalLight(order, dir, Rintensity, Gintensity, Bintensity, rout, gout, bout);
 
    clamped_angle = (radius > D3DX_PI / 2.0f) ? (D3DX_PI / 2.0f) : radius;
    norm = sinf(clamped_angle) * sinf(clamped_angle);
 
    if (order > D3DXSH_MAXORDER)
    {
        WARN("Order clamped at D3DXSH_MAXORDER\n");
        order = D3DXSH_MAXORDER;
    }
 
    weightedcapintegrale(cap, order, radius);
    D3DXSHEvalDirection(rout, order, dir);
 
    for (i = 0; i < order; i++)
    {
        scale = cap[i] / norm;
 
        for (j = 0; j < 2 * i + 1; j++)
        {
            index = i * i + j;
            temp = rout[index] * scale;
 
            rout[index] = temp * Rintensity;
            if (gout)
                gout[index] = temp * Gintensity;
            if (bout)
                bout[index] = temp * Bintensity;
        }
    }
 
    return D3D_OK;
}

D3DXSHEvalDirection()

FLOAT *WINAPI D3DXSHEvalDirection	(	FLOAT *	out,
		UINT	order,
		const D3DXVECTOR3 *	dir
	)

Definition at line 2336 of file math.c.

{
    const FLOAT dirxx = dir->x * dir->x;
    const FLOAT dirxy = dir->x * dir->y;
    const FLOAT dirxz = dir->x * dir->z;
    const FLOAT diryy = dir->y * dir->y;
    const FLOAT diryz = dir->y * dir->z;
    const FLOAT dirzz = dir->z * dir->z;
    const FLOAT dirxxxx = dirxx * dirxx;
    const FLOAT diryyyy = diryy * diryy;
    const FLOAT dirzzzz = dirzz * dirzz;
    const FLOAT dirxyxy = dirxy * dirxy;
 
    TRACE("out %p, order %u, dir %p\n", out, order, dir);
 
    if ((order < D3DXSH_MINORDER) || (order > D3DXSH_MAXORDER))
        return out;
 
    out[0] = 0.5f / sqrtf(D3DX_PI);
    out[1] = -0.5f / sqrtf(D3DX_PI / 3.0f) * dir->y;
    out[2] = 0.5f / sqrtf(D3DX_PI / 3.0f) * dir->z;
    out[3] = -0.5f / sqrtf(D3DX_PI / 3.0f) * dir->x;
    if (order == 2)
        return out;
 
    out[4] = 0.5f / sqrtf(D3DX_PI / 15.0f) * dirxy;
    out[5] = -0.5f / sqrtf(D3DX_PI / 15.0f) * diryz;
    out[6] = 0.25f / sqrtf(D3DX_PI / 5.0f) * (3.0f * dirzz - 1.0f);
    out[7] = -0.5f / sqrtf(D3DX_PI / 15.0f) * dirxz;
    out[8] = 0.25f / sqrtf(D3DX_PI / 15.0f) * (dirxx - diryy);
    if (order == 3)
        return out;
 
    out[9] = -sqrtf(70.0f / D3DX_PI) / 8.0f * dir->y * (3.0f * dirxx - diryy);
    out[10] = sqrtf(105.0f / D3DX_PI) / 2.0f * dirxy * dir->z;
    out[11] = -sqrtf(42.0f / D3DX_PI) / 8.0f * dir->y * (-1.0f + 5.0f * dirzz);
    out[12] = sqrtf(7.0f / D3DX_PI) / 4.0f * dir->z * (5.0f * dirzz - 3.0f);
    out[13] = sqrtf(42.0f / D3DX_PI) / 8.0f * dir->x * (1.0f - 5.0f * dirzz);
    out[14] = sqrtf(105.0f / D3DX_PI) / 4.0f * dir->z * (dirxx - diryy);
    out[15] = -sqrtf(70.0f / D3DX_PI) / 8.0f * dir->x * (dirxx - 3.0f * diryy);
    if (order == 4)
        return out;
 
    out[16] = 0.75f * sqrtf(35.0f / D3DX_PI) * dirxy * (dirxx - diryy);
    out[17] = 3.0f * dir->z * out[9];
    out[18] = 0.75f * sqrtf(5.0f / D3DX_PI) * dirxy * (7.0f * dirzz - 1.0f);
    out[19] = 0.375f * sqrtf(10.0f / D3DX_PI) * diryz * (3.0f - 7.0f * dirzz);
    out[20] = 3.0f / (16.0f * sqrtf(D3DX_PI)) * (35.0f * dirzzzz - 30.f * dirzz + 3.0f);
    out[21] = 0.375f * sqrtf(10.0f / D3DX_PI) * dirxz * (3.0f - 7.0f * dirzz);
    out[22] = 0.375f * sqrtf(5.0f / D3DX_PI) * (dirxx - diryy) * (7.0f * dirzz - 1.0f);
    out[23] = 3.0f * dir->z * out[15];
    out[24] = 3.0f / 16.0f * sqrtf(35.0f / D3DX_PI) * (dirxxxx - 6.0f * dirxyxy + diryyyy);
    if (order == 5)
        return out;
 
    out[25] = -3.0f/ 32.0f * sqrtf(154.0f / D3DX_PI) * dir->y * (5.0f * dirxxxx - 10.0f * dirxyxy + diryyyy);
    out[26] = 0.75f * sqrtf(385.0f / D3DX_PI) * dirxy * dir->z * (dirxx - diryy);
    out[27] = sqrtf(770.0f / D3DX_PI) / 32.0f * dir->y * (3.0f * dirxx - diryy) * (1.0f - 9.0f * dirzz);
    out[28] = sqrtf(1155.0f / D3DX_PI) / 4.0f * dirxy * dir->z * (3.0f * dirzz - 1.0f);
    out[29] = sqrtf(165.0f / D3DX_PI) / 16.0f * dir->y * (14.0f * dirzz - 21.0f * dirzzzz - 1.0f);
    out[30] = sqrtf(11.0f / D3DX_PI) / 16.0f * dir->z * (63.0f * dirzzzz - 70.0f * dirzz + 15.0f);
    out[31] = sqrtf(165.0f / D3DX_PI) / 16.0f * dir->x * (14.0f * dirzz - 21.0f * dirzzzz - 1.0f);
    out[32] = sqrtf(1155.0f / D3DX_PI) / 8.0f * dir->z * (dirxx - diryy) * (3.0f * dirzz - 1.0f);
    out[33] = sqrtf(770.0f / D3DX_PI) / 32.0f * dir->x * (dirxx - 3.0f * diryy) * (1.0f - 9.0f * dirzz);
    out[34] = 3.0f / 16.0f * sqrtf(385.0f / D3DX_PI) * dir->z * (dirxxxx - 6.0f * dirxyxy + diryyyy);
    out[35] = -3.0f/ 32.0f * sqrtf(154.0f / D3DX_PI) * dir->x * (dirxxxx - 10.0f * dirxyxy + 5.0f * diryyyy);
 
    return out;
}

D3DXSHEvalDirectionalLight()

HRESULT WINAPI D3DXSHEvalDirectionalLight	(	UINT	order,
		const D3DXVECTOR3 *	dir,
		FLOAT	Rintensity,
		FLOAT	Gintensity,
		FLOAT	Bintensity,
		FLOAT *	rout,
		FLOAT *	gout,
		FLOAT *	bout
	)

Definition at line 2406 of file math.c.

{
    FLOAT s, temp;
    UINT j;
 
    TRACE("Order %u, Vector %p, Red %f, Green %f, Blue %f, Rout %p, Gout %p, Bout %p\n", order, dir, Rintensity, Gintensity, Bintensity, Rout, Gout, Bout);
 
    s = 0.75f;
    if ( order > 2 )
        s += 5.0f / 16.0f;
    if ( order > 4 )
        s -= 3.0f / 32.0f;
    s /= D3DX_PI;
 
    D3DXSHEvalDirection(Rout, order, dir);
    for (j = 0; j < order * order; j++)
    {
        temp = Rout[j] / s;
 
        Rout[j] = Rintensity * temp;
        if ( Gout )
            Gout[j] = Gintensity * temp;
        if ( Bout )
            Bout[j] = Bintensity * temp;
    }
 
    return D3D_OK;
}

D3DXSHEvalHemisphereLight()

HRESULT WINAPI D3DXSHEvalHemisphereLight	(	UINT	order,
		const D3DXVECTOR3 *	dir,
		D3DXCOLOR	top,
		D3DXCOLOR	bottom,
		FLOAT *	rout,
		FLOAT *	gout,
		FLOAT *	bout
	)

Definition at line 2435 of file math.c.

{
    FLOAT a[2], temp[4];
    UINT i, j;
 
    TRACE("order %u, dir %p, rout %p, gout %p, bout %p\n", order, dir, rout, gout, bout);
 
    D3DXSHEvalDirection(temp, 2, dir);
 
    a[0] = (top.r + bottom.r) * 3.0f * D3DX_PI;
    a[1] = (top.r - bottom.r) * D3DX_PI;
    for (i = 0; i < order; i++)
        for (j = 0; j < 2 * i + 1; j++)
            if (i < 2)
                rout[i * i + j] = temp[i * i + j] * a[i];
            else
                rout[i * i + j] = 0.0f;
 
    if (gout)
    {
        a[0] = (top.g + bottom.g) * 3.0f * D3DX_PI;
        a[1] = (top.g - bottom.g) * D3DX_PI;
        for (i = 0; i < order; i++)
            for (j = 0; j < 2 * i + 1; j++)
                if (i < 2)
                    gout[i * i + j] = temp[i * i + j] * a[i];
                else
                    gout[i * i + j] = 0.0f;
    }
 
    if (bout)
    {
        a[0] = (top.b + bottom.b) * 3.0f * D3DX_PI;
        a[1] = (top.b - bottom.b) * D3DX_PI;
        for (i = 0; i < order; i++)
            for (j = 0; j < 2 * i + 1; j++)
                if (i < 2)
                    bout[i * i + j] = temp[i * i + j] * a[i];
                else
                    bout[i * i + j] = 0.0f;
    }
 
    return D3D_OK;
}

D3DXSHEvalSphericalLight()

HRESULT WINAPI D3DXSHEvalSphericalLight	(	UINT	order,
		const D3DXVECTOR3 *	dir,
		FLOAT	radius,
		FLOAT	Rintensity,
		FLOAT	Gintensity,
		FLOAT	Bintensity,
		FLOAT *	rout,
		FLOAT *	gout,
		FLOAT *	bout
	)

Definition at line 2481 of file math.c.

{
    D3DXVECTOR3 normal;
    FLOAT cap[6], clamped_angle, dist, temp;
    UINT i, index, j;
 
    TRACE("order %u, dir %p, radius %f, red %f, green %f, blue %f, rout %p, gout %p, bout %p\n",
        order, dir, radius, Rintensity, Gintensity, Bintensity, rout, gout, bout);
 
    if (order > D3DXSH_MAXORDER)
    {
        WARN("Order clamped at D3DXSH_MAXORDER\n");
        order = D3DXSH_MAXORDER;
    }
 
    if (radius < 0.0f)
        radius = -radius;
 
    dist = D3DXVec3Length(dir);
    clamped_angle = (dist <= radius) ? D3DX_PI / 2.0f : asinf(radius / dist);
 
    weightedcapintegrale(cap, order, clamped_angle);
    D3DXVec3Normalize(&normal, dir);
    D3DXSHEvalDirection(rout, order, &normal);
 
    for (i = 0; i < order; i++)
        for (j = 0; j < 2 * i + 1; j++)
        {
            index = i * i + j;
            temp = rout[index] * cap[i];
 
            rout[index] = temp * Rintensity;
            if (gout)
                gout[index] = temp * Gintensity;
            if (bout)
                bout[index] = temp * Bintensity;
        }
 
    return D3D_OK;
}

D3DXSHMultiply2()

FLOAT *WINAPI D3DXSHMultiply2	(	FLOAT *	out,
		const FLOAT *	a,
		const FLOAT *	b
	)

Definition at line 2523 of file math.c.

{
    FLOAT ta, tb;
 
    TRACE("out %p, a %p, b %p\n", out, a, b);
 
    ta = 0.28209479f * a[0];
    tb = 0.28209479f * b[0];
 
    out[0] = 0.28209479f * D3DXSHDot(2, a, b);
    out[1] = ta * b[1] + tb * a[1];
    out[2] = ta * b[2] + tb * a[2];
    out[3] = ta * b[3] + tb * a[3];
 
    return out;
}

D3DXSHMultiply3()

FLOAT *WINAPI D3DXSHMultiply3	(	FLOAT *	out,
		const FLOAT *	a,
		const FLOAT *	b
	)

Definition at line 2540 of file math.c.

{
    FLOAT t, ta, tb;
 
    TRACE("out %p, a %p, b %p\n", out, a, b);
 
    out[0] = 0.28209479f * a[0] * b[0];
 
    ta = 0.28209479f * a[0] - 0.12615663f * a[6] - 0.21850969f * a[8];
    tb = 0.28209479f * b[0] - 0.12615663f * b[6] - 0.21850969f * b[8];
    out[1] = ta * b[1] + tb * a[1];
    t = a[1] * b[1];
    out[0] += 0.28209479f * t;
    out[6] = -0.12615663f * t;
    out[8] = -0.21850969f * t;
 
    ta = 0.21850969f * a[5];
    tb = 0.21850969f * b[5];
    out[1] += ta * b[2] + tb * a[2];
    out[2] = ta * b[1] + tb * a[1];
    t = a[1] * b[2] +a[2] * b[1];
    out[5] = 0.21850969f * t;
 
    ta = 0.21850969f * a[4];
    tb = 0.21850969f * b[4];
    out[1] += ta * b[3] + tb * a[3];
    out[3]  = ta * b[1] + tb * a[1];
    t = a[1] * b[3] + a[3] * b[1];
    out[4] = 0.21850969f * t;
 
    ta = 0.28209480f * a[0] + 0.25231326f * a[6];
    tb = 0.28209480f * b[0] + 0.25231326f * b[6];
    out[2] += ta * b[2] + tb * a[2];
    t = a[2] * b[2];
    out[0] += 0.28209480f * t;
    out[6] += 0.25231326f * t;
 
    ta = 0.21850969f * a[7];
    tb = 0.21850969f * b[7];
    out[2] += ta * b[3] + tb * a[3];
    out[3] += ta * b[2] + tb * a[2];
    t = a[2] * b[3] + a[3] * b[2];
    out[7] = 0.21850969f * t;
 
    ta = 0.28209479f * a[0] - 0.12615663f * a[6] + 0.21850969f * a[8];
    tb = 0.28209479f * b[0] - 0.12615663f * b[6] + 0.21850969f * b[8];
    out[3] += ta * b[3] + tb * a[3];
    t = a[3] * b[3];
    out[0] += 0.28209479f * t;
    out[6] -= 0.12615663f * t;
    out[8] += 0.21850969f * t;
 
    ta = 0.28209479f * a[0] - 0.18022375f * a[6];
    tb = 0.28209479f * b[0] - 0.18022375f * b[6];
    out[4] += ta * b[4] + tb * a[4];
    t = a[4] * b[4];
    out[0] += 0.28209479f * t;
    out[6] -= 0.18022375f * t;
 
    ta = 0.15607835f * a[7];
    tb = 0.15607835f * b[7];
    out[4] += ta * b[5] + tb * a[5];
    out[5] += ta * b[4] + tb * a[4];
    t = a[4] * b[5] + a[5] * b[4];
    out[7] += 0.15607835f * t;
 
    ta = 0.28209479f * a[0] + 0.09011188f * a[6] - 0.15607835f * a[8];
    tb = 0.28209479f * b[0] + 0.09011188f * b[6] - 0.15607835f * b[8];
    out[5] += ta * b[5] + tb * a[5];
    t = a[5] * b[5];
    out[0] += 0.28209479f * t;
    out[6] += 0.09011188f * t;
    out[8] -= 0.15607835f * t;
 
    ta = 0.28209480f * a[0];
    tb = 0.28209480f * b[0];
    out[6] += ta * b[6] + tb * a[6];
    t = a[6] * b[6];
    out[0] += 0.28209480f * t;
    out[6] += 0.18022376f * t;
 
    ta = 0.28209479f * a[0] + 0.09011188f * a[6] + 0.15607835f * a[8];
    tb = 0.28209479f * b[0] + 0.09011188f * b[6] + 0.15607835f * b[8];
    out[7] += ta * b[7] + tb * a[7];
    t = a[7] * b[7];
    out[0] += 0.28209479f * t;
    out[6] += 0.09011188f * t;
    out[8] += 0.15607835f * t;
 
    ta = 0.28209479f * a[0] - 0.18022375f * a[6];
    tb = 0.28209479f * b[0] - 0.18022375f * b[6];
    out[8] += ta * b[8] + tb * a[8];
    t = a[8] * b[8];
    out[0] += 0.28209479f * t;
    out[6] -= 0.18022375f * t;
 
    return out;
}

D3DXSHMultiply4()

FLOAT *WINAPI D3DXSHMultiply4	(	FLOAT *	out,
		const FLOAT *	a,
		const FLOAT *	b
	)

Definition at line 2639 of file math.c.

{
    FLOAT ta, tb, t;
 
    TRACE("out %p, a %p, b %p\n", out, a, b);
 
    out[0] = 0.28209479f * a[0] * b[0];
 
    ta = 0.28209479f * a[0] - 0.12615663f * a[6] - 0.21850969f * a[8];
    tb = 0.28209479f * b[0] - 0.12615663f * b[6] - 0.21850969f * b[8];
    out[1] = ta * b[1] + tb * a[1];
    t = a[1] * b[1];
    out[0] += 0.28209479f * t;
    out[6] = -0.12615663f * t;
    out[8] = -0.21850969f * t;
 
    ta = 0.21850969f * a[3] - 0.05839917f * a[13] - 0.22617901f * a[15];
    tb = 0.21850969f * b[3] - 0.05839917f * b[13] - 0.22617901f * b[15];
    out[1] += ta * b[4] + tb * a[4];
    out[4] = ta * b[1] + tb * a[1];
    t = a[1] * b[4] + a[4] * b[1];
    out[3] = 0.21850969f * t;
    out[13] = -0.05839917f * t;
    out[15] = -0.22617901f * t;
 
    ta = 0.21850969f * a[2] - 0.14304817f * a[12] - 0.18467439f * a[14];
    tb = 0.21850969f * b[2] - 0.14304817f * b[12] - 0.18467439f * b[14];
    out[1] += ta * b[5] + tb * a[5];
    out[5] = ta * b[1] + tb * a[1];
    t = a[1] * b[5] + a[5] * b[1];
    out[2] = 0.21850969f * t;
    out[12] = -0.14304817f * t;
    out[14] = -0.18467439f * t;
 
    ta = 0.20230066f * a[11];
    tb = 0.20230066f * b[11];
    out[1] += ta * b[6] + tb * a[6];
    out[6] += ta * b[1] + tb * a[1];
    t = a[1] * b[6] + a[6] * b[1];
    out[11] = 0.20230066f * t;
 
    ta = 0.22617901f * a[9] + 0.05839917f * a[11];
    tb = 0.22617901f * b[9] + 0.05839917f * b[11];
    out[1] += ta * b[8] + tb * a[8];
    out[8] += ta * b[1] + tb * a[1];
    t = a[1] * b[8] + a[8] * b[1];
    out[9] = 0.22617901f * t;
    out[11] += 0.05839917f * t;
 
    ta = 0.28209480f * a[0] + 0.25231326f * a[6];
    tb = 0.28209480f * b[0] + 0.25231326f * b[6];
    out[2] += ta * b[2] + tb * a[2];
    t = a[2] * b[2];
    out[0] += 0.28209480f * t;
    out[6] += 0.25231326f * t;
 
    ta = 0.24776671f * a[12];
    tb = 0.24776671f * b[12];
    out[2] += ta * b[6] + tb * a[6];
    out[6] += ta * b[2] + tb * a[2];
    t = a[2] * b[6] + a[6] * b[2];
    out[12] += 0.24776671f * t;
 
    ta = 0.28209480f * a[0] - 0.12615663f * a[6] + 0.21850969f * a[8];
    tb = 0.28209480f * b[0] - 0.12615663f * b[6] + 0.21850969f * b[8];
    out[3] += ta * b[3] + tb * a[3];
    t = a[3] * b[3];
    out[0] += 0.28209480f * t;
    out[6] -= 0.12615663f * t;
    out[8] += 0.21850969f * t;
 
    ta = 0.20230066f * a[13];
    tb = 0.20230066f * b[13];
    out[3] += ta * b[6] + tb * a[6];
    out[6] += ta * b[3] + tb * a[3];
    t = a[3] * b[6] + a[6] * b[3];
    out[13] += 0.20230066f * t;
 
    ta = 0.21850969f * a[2] - 0.14304817f * a[12] + 0.18467439f * a[14];
    tb = 0.21850969f * b[2] - 0.14304817f * b[12] + 0.18467439f * b[14];
    out[3] += ta * b[7] + tb * a[7];
    out[7] = ta * b[3] + tb * a[3];
    t = a[3] * b[7] + a[7] * b[3];
    out[2] += 0.21850969f * t;
    out[12] -= 0.14304817f * t;
    out[14] += 0.18467439f * t;
 
    ta = -0.05839917f * a[13] + 0.22617901f * a[15];
    tb = -0.05839917f * b[13] + 0.22617901f * b[15];
    out[3] += ta * b[8] + tb * a[8];
    out[8] += ta * b[3] + tb * a[3];
    t = a[3] * b[8] + a[8] * b[3];
    out[13] -= 0.05839917f * t;
    out[15] += 0.22617901f * t;
 
    ta = 0.28209479f * a[0] - 0.18022375f * a[6];
    tb = 0.28209479f * b[0] - 0.18022375f * b[6];
    out[4] += ta * b[4] + tb * a[4];
    t = a[4] * b[4];
    out[0] += 0.28209479f * t;
    out[6] -= 0.18022375f * t;
 
    ta = 0.15607835f * a[7];
    tb = 0.15607835f * b[7];
    out[4] += ta * b[5] + tb * a[5];
    out[5] += ta * b[4] + tb * a[4];
    t = a[4] * b[5] + a[5] * b[4];
    out[7] += 0.15607835f * t;
 
    ta = 0.22617901f * a[3] - 0.09403160f * a[13];
    tb = 0.22617901f * b[3] - 0.09403160f * b[13];
    out[4] += ta * b[9] + tb * a[9];
    out[9] += ta * b[4] + tb * a[4];
    t = a[4] * b[9] + a[9] * b[4];
    out[3] += 0.22617901f * t;
    out[13] -= 0.09403160f * t;
 
    ta = 0.18467439f * a[2] - 0.18806319f * a[12];
    tb = 0.18467439f * b[2] - 0.18806319f * b[12];
    out[4] += ta * b[10] + tb * a [10];
    out[10] = ta * b[4] + tb * a[4];
    t = a[4] * b[10] + a[10] * b[4];
    out[2] += 0.18467439f * t;
    out[12] -= 0.18806319f * t;
 
    ta = -0.05839917f * a[3] + 0.14567312f * a[13] + 0.09403160f * a[15];
    tb = -0.05839917f * b[3] + 0.14567312f * b[13] + 0.09403160f * b[15];
    out[4] += ta * b[11] + tb * a[11];
    out[11] += ta * b[4] + tb * a[4];
    t = a[4] * b[11] + a[11] * b[4];
    out[3] -= 0.05839917f * t;
    out[13] += 0.14567312f * t;
    out[15] += 0.09403160f * t;
 
    ta = 0.28209479f * a[0] + 0.09011186f * a[6] - 0.15607835f * a[8];
    tb = 0.28209479f * b[0] + 0.09011186f * b[6] - 0.15607835f * b[8];
    out[5] += ta * b[5] + tb * a[5];
    t = a[5] * b[5];
    out[0] += 0.28209479f * t;
    out[6] += 0.09011186f * t;
    out[8] -= 0.15607835f * t;
 
    ta = 0.14867701f * a[14];
    tb = 0.14867701f * b[14];
    out[5] += ta * b[9] + tb * a[9];
    out[9] += ta * b[5] + tb * a[5];
    t = a[5] * b[9] + a[9] * b[5];
    out[14] += 0.14867701f * t;
 
    ta = 0.18467439f * a[3] + 0.11516472f * a[13] - 0.14867701f * a[15];
    tb = 0.18467439f * b[3] + 0.11516472f * b[13] - 0.14867701f * b[15];
    out[5] += ta * b[10] + tb * a[10];
    out[10] += ta * b[5] + tb * a[5];
    t = a[5] * b[10] + a[10] * b[5];
    out[3] += 0.18467439f * t;
    out[13] += 0.11516472f * t;
    out[15] -= 0.14867701f * t;
 
    ta = 0.23359668f * a[2] + 0.05947080f * a[12] - 0.11516472f * a[14];
    tb = 0.23359668f * b[2] + 0.05947080f * b[12] - 0.11516472f * b[14];
    out[5] += ta * b[11] + tb * a[11];
    out[11] += ta * b[5] + tb * a[5];
    t = a[5] * b[11] + a[11] * b[5];
    out[2] += 0.23359668f * t;
    out[12] += 0.05947080f * t;
    out[14] -= 0.11516472f * t;
 
    ta = 0.28209479f * a[0];
    tb = 0.28209479f * b[0];
    out[6] += ta * b[6] + tb * a[6];
    t = a[6] * b[6];
    out[0] += 0.28209479f * t;
    out[6] += 0.18022376f * t;
 
    ta = 0.09011186f * a[6] + 0.28209479f * a[0] + 0.15607835f * a[8];
    tb = 0.09011186f * b[6] + 0.28209479f * b[0] + 0.15607835f * b[8];
    out[7] += ta * b[7] + tb * a[7];
    t = a[7] * b[7];
    out[6] += 0.09011186f * t;
    out[0] += 0.28209479f * t;
    out[8] += 0.15607835f * t;
 
    ta = 0.14867701f * a[9] + 0.18467439f * a[1] + 0.11516472f * a[11];
    tb = 0.14867701f * b[9] + 0.18467439f * b[1] + 0.11516472f * b[11];
    out[7] += ta * b[10] + tb * a[10];
    out[10] += ta * b[7] + tb * a[7];
    t = a[7] * b[10] + a[10] * b[7];
    out[9] += 0.14867701f * t;
    out[1] += 0.18467439f * t;
    out[11] += 0.11516472f * t;
 
    ta = 0.05947080f * a[12] + 0.23359668f * a[2] + 0.11516472f * a[14];
    tb = 0.05947080f * b[12] + 0.23359668f * b[2] + 0.11516472f * b[14];
    out[7] += ta * b[13] + tb * a[13];
    out[13] += ta * b[7]+ tb * a[7];
    t = a[7] * b[13] + a[13] * b[7];
    out[12] += 0.05947080f * t;
    out[2] += 0.23359668f * t;
    out[14] += 0.11516472f * t;
 
    ta = 0.14867701f * a[15];
    tb = 0.14867701f * b[15];
    out[7] += ta * b[14] + tb * a[14];
    out[14] += ta * b[7] + tb * a[7];
    t = a[7] * b[14] + a[14] * b[7];
    out[15] += 0.14867701f * t;
 
    ta = 0.28209479f * a[0] - 0.18022375f * a[6];
    tb = 0.28209479f * b[0] - 0.18022375f * b[6];
    out[8] += ta * b[8] + tb * a[8];
    t = a[8] * b[8];
    out[0] += 0.28209479f * t;
    out[6] -= 0.18022375f * t;
 
    ta = -0.09403160f * a[11];
    tb = -0.09403160f * b[11];
    out[8] += ta * b[9] + tb * a[9];
    out[9] += ta * b[8] + tb * a[8];
    t = a[8] * b[9] + a[9] * b[8];
    out[11] -= 0.09403160f * t;
 
    ta = -0.09403160f * a[15];
    tb = -0.09403160f * b[15];
    out[8] += ta * b[13] + tb * a[13];
    out[13] += ta * b[8] + tb * a[8];
    t = a[8] * b[13] + a[13] * b[8];
    out[15] -= 0.09403160f * t;
 
    ta = 0.18467439f * a[2] - 0.18806319f * a[12];
    tb = 0.18467439f * b[2] - 0.18806319f * b[12];
    out[8] += ta * b[14] + tb * a[14];
    out[14] += ta * b[8] + tb * a[8];
    t = a[8] * b[14] + a[14] * b[8];
    out[2] += 0.18467439f * t;
    out[12] -= 0.18806319f * t;
 
    ta = -0.21026104f * a[6] + 0.28209479f * a[0];
    tb = -0.21026104f * b[6] + 0.28209479f * b[0];
    out[9] += ta * b[9] + tb * a[9];
    t = a[9] * b[9];
    out[6] -= 0.21026104f * t;
    out[0] += 0.28209479f * t;
 
    ta = 0.28209479f * a[0];
    tb = 0.28209479f * b[0];
    out[10] += ta * b[10] + tb * a[10];
    t = a[10] * b[10];
    out[0] += 0.28209479f * t;
 
    ta = 0.28209479f * a[0] + 0.12615663f * a[6] - 0.14567312f * a[8];
    tb = 0.28209479f * b[0] + 0.12615663f * b[6] - 0.14567312f * b[8];
    out[11] += ta * b[11] + tb * a[11];
    t = a[11] * b[11];
    out[0] += 0.28209479f * t;
    out[6] += 0.12615663f * t;
    out[8] -= 0.14567312f * t;
 
    ta = 0.28209479f * a[0] + 0.16820885f * a[6];
    tb = 0.28209479f * b[0] + 0.16820885f * b[6];
    out[12] += ta * b[12] + tb * a[12];
    t = a[12] * b[12];
    out[0] += 0.28209479f * t;
    out[6] += 0.16820885f * t;
 
    ta =0.28209479f * a[0] + 0.14567312f * a[8] + 0.12615663f * a[6];
    tb =0.28209479f * b[0] + 0.14567312f * b[8] + 0.12615663f * b[6];
    out[13] += ta * b[13] + tb * a[13];
    t = a[13] * b[13];
    out[0] += 0.28209479f * t;
    out[8] += 0.14567312f * t;
    out[6] += 0.12615663f * t;
 
    ta = 0.28209479f * a[0];
    tb = 0.28209479f * b[0];
    out[14] += ta * b[14] + tb * a[14];
    t = a[14] * b[14];
    out[0] += 0.28209479f * t;
 
    ta = 0.28209479f * a[0] - 0.21026104f * a[6];
    tb = 0.28209479f * b[0] - 0.21026104f * b[6];
    out[15] += ta * b[15] + tb * a[15];
    t = a[15] * b[15];
    out[0] += 0.28209479f * t;
    out[6] -= 0.21026104f * t;
 
    return out;
}

D3DXSHProjectCubeMap()

HRESULT WINAPI D3DXSHProjectCubeMap	(	UINT	order,
		IDirect3DCubeTexture9 *	cubemap,
		FLOAT *	rout,
		FLOAT *	gout,
		FLOAT *	bout
	)

D3DXSHRotate()

FLOAT *WINAPI D3DXSHRotate	(	FLOAT *	out,
		UINT	order,
		const D3DXMATRIX *	matrix,
		const FLOAT *	in
	)

Definition at line 3123 of file math.c.

{
    FLOAT alpha, beta, gamma, sinb, temp[36], temp1[36];
 
    TRACE("out %p, order %u, matrix %p, in %p\n", out, order, matrix, in);
 
    out[0] = in[0];
 
    if ((order > D3DXSH_MAXORDER) || (order < D3DXSH_MINORDER))
        return out;
 
    if (order <= 3)
    {
        out[1] = matrix->m[1][1] * in[1] - matrix->m[2][1] * in[2] + matrix->m[0][1] * in[3];
        out[2] = -matrix->m[1][2] * in[1] + matrix->m[2][2] * in[2] - matrix->m[0][2] * in[3];
        out[3] = matrix->m[1][0] * in[1] - matrix->m[2][0] * in[2] + matrix->m[0][0] * in[3];
 
        if (order == 3)
        {
            float coeff[] =
            {
                matrix->m[1][0] * matrix->m[0][0], matrix->m[1][1] * matrix->m[0][1],
                matrix->m[1][1] * matrix->m[2][1], matrix->m[1][0] * matrix->m[2][0],
                matrix->m[2][0] * matrix->m[2][0], matrix->m[2][1] * matrix->m[2][1],
                matrix->m[0][0] * matrix->m[2][0], matrix->m[0][1] * matrix->m[2][1],
                matrix->m[0][1] * matrix->m[0][1], matrix->m[1][0] * matrix->m[1][0],
                matrix->m[1][1] * matrix->m[1][1], matrix->m[0][0] * matrix->m[0][0],
            };
 
            out[4] = (matrix->m[1][1] * matrix->m[0][0] + matrix->m[0][1] * matrix->m[1][0]) * in[4];
            out[4] -= (matrix->m[1][0] * matrix->m[2][1] + matrix->m[1][1] * matrix->m[2][0]) * in[5];
            out[4] += 1.7320508076f * matrix->m[2][0] * matrix->m[2][1] * in[6];
            out[4] -= (matrix->m[0][1] * matrix->m[2][0] + matrix->m[0][0] * matrix->m[2][1]) * in[7];
            out[4] += (matrix->m[0][0] * matrix->m[0][1] - matrix->m[1][0] * matrix->m[1][1]) * in[8];
 
            out[5] = (matrix->m[1][1] * matrix->m[2][2] + matrix->m[1][2] * matrix->m[2][1]) * in[5];
            out[5] -= (matrix->m[1][1] * matrix->m[0][2] + matrix->m[1][2] * matrix->m[0][1]) * in[4];
            out[5] -= 1.7320508076f * matrix->m[2][2] * matrix->m[2][1] * in[6];
            out[5] += (matrix->m[0][2] * matrix->m[2][1] + matrix->m[0][1] * matrix->m[2][2]) * in[7];
            out[5] -= (matrix->m[0][1] * matrix->m[0][2] - matrix->m[1][1] * matrix->m[1][2]) * in[8];
 
            out[6] = (matrix->m[2][2] * matrix->m[2][2] - 0.5f * (coeff[4] + coeff[5])) * in[6];
            out[6] -= (0.5773502692f * (coeff[0] + coeff[1]) - 1.1547005384f * matrix->m[1][2] * matrix->m[0][2]) * in[4];
            out[6] += (0.5773502692f * (coeff[2] + coeff[3]) - 1.1547005384f * matrix->m[1][2] * matrix->m[2][2]) * in[5];
            out[6] += (0.5773502692f * (coeff[6] + coeff[7]) - 1.1547005384f * matrix->m[0][2] * matrix->m[2][2]) * in[7];
            out[6] += (0.2886751347f * (coeff[9] - coeff[8] + coeff[10] - coeff[11]) - 0.5773502692f *
                  (matrix->m[1][2] * matrix->m[1][2] - matrix->m[0][2] * matrix->m[0][2])) * in[8];
 
            out[7] = (matrix->m[0][0] * matrix->m[2][2] + matrix->m[0][2] * matrix->m[2][0]) * in[7];
            out[7] -= (matrix->m[1][0] * matrix->m[0][2] + matrix->m[1][2] * matrix->m[0][0]) * in[4];
            out[7] += (matrix->m[1][0] * matrix->m[2][2] + matrix->m[1][2] * matrix->m[2][0]) * in[5];
            out[7] -= 1.7320508076f * matrix->m[2][2] * matrix->m[2][0] * in[6];
            out[7] -= (matrix->m[0][0] * matrix->m[0][2] - matrix->m[1][0] * matrix->m[1][2]) * in[8];
 
            out[8] = 0.5f * (coeff[11] - coeff[8] - coeff[9] + coeff[10]) * in[8];
            out[8] += (coeff[0] - coeff[1]) * in[4];
            out[8] += (coeff[2] - coeff[3]) * in[5];
            out[8] += 0.86602540f * (coeff[4] - coeff[5]) * in[6];
            out[8] += (coeff[7] - coeff[6]) * in[7];
        }
 
        return out;
    }
 
    if (fabsf(matrix->m[2][2]) != 1.0f)
    {
        sinb = sqrtf(1.0f - matrix->m[2][2] * matrix->m[2][2]);
        alpha = atan2f(matrix->m[2][1] / sinb, matrix->m[2][0] / sinb);
        beta = atan2f(sinb, matrix->m[2][2]);
        gamma = atan2f(matrix->m[1][2] / sinb, -matrix->m[0][2] / sinb);
    }
    else
    {
        alpha = atan2f(matrix->m[0][1], matrix->m[0][0]);
        beta = 0.0f;
        gamma = 0.0f;
    }
 
    D3DXSHRotateZ(temp, order, gamma, in);
    rotate_X(temp1, order, 1.0f, temp);
    D3DXSHRotateZ(temp, order, beta, temp1);
    rotate_X(temp1, order, -1.0f, temp);
    D3DXSHRotateZ(out, order, alpha, temp1);
 
    return out;
}

D3DXSHRotateZ()

FLOAT *WINAPI D3DXSHRotateZ	(	FLOAT *	out,
		UINT	order,
		FLOAT	angle,
		const FLOAT *	in
	)

Definition at line 3210 of file math.c.

{
    UINT i, sum = 0;
    FLOAT c[5], s[5];
 
    TRACE("out %p, order %u, angle %f, in %p\n", out, order, angle, in);
 
    order = min(max(order, D3DXSH_MINORDER), D3DXSH_MAXORDER);
 
    out[0] = in[0];
 
    for (i = 1; i < order; i++)
    {
        UINT j;
 
        c[i - 1] = cosf(i * angle);
        s[i - 1] = sinf(i * angle);
        sum += i * 2;
 
        out[sum - i] = c[i - 1] * in[sum - i];
        out[sum - i] += s[i - 1] * in[sum + i];
        for (j = i - 1; j > 0; j--)
        {
            out[sum - j] = 0.0f;
            out[sum - j] = c[j - 1] * in[sum - j];
            out[sum - j] += s[j - 1] * in[sum + j];
        }
 
        if (in == out)
            out[sum] = 0.0f;
        else
            out[sum] = in[sum];
 
        for (j = 1; j < i; j++)
        {
            out[sum + j] = 0.0f;
            out[sum + j] = -s[j - 1] * in[sum - j];
            out[sum + j] += c[j - 1] * in[sum + j];
        }
        out[sum + i] = -s[i - 1] * in[sum - i];
        out[sum + i] += c[i - 1] * in[sum + i];
    }
 
    return out;
}

D3DXSHScale()

FLOAT *WINAPI D3DXSHScale	(	FLOAT *	out,
		UINT	order,
		const FLOAT *	a,
		const FLOAT	scale
	)

Definition at line 3256 of file math.c.

{
    UINT i;
 
    TRACE("out %p, order %u, a %p, scale %f\n", out, order, a, scale);
 
    for (i = 0; i < order * order; i++)
        out[i] = a[i] * scale;
 
    return out;
}

D3DXVec2BaryCentric()

D3DXVECTOR2 *WINAPI D3DXVec2BaryCentric	(	D3DXVECTOR2 *	pout,
		const D3DXVECTOR2 *	pv1,
		const D3DXVECTOR2 *	pv2,
		const D3DXVECTOR2 *	pv3,
		FLOAT	f,
		FLOAT	g
	)

Definition at line 1625 of file math.c.

{
    TRACE("pout %p, pv1 %p, pv2 %p, pv3 %p, f %f, g %f\n", pout, pv1, pv2, pv3, f, g);
 
    pout->x = (1.0f-f-g) * (pv1->x) + f * (pv2->x) + g * (pv3->x);
    pout->y = (1.0f-f-g) * (pv1->y) + f * (pv2->y) + g * (pv3->y);
    return pout;
}

D3DXVec2CatmullRom()

D3DXVECTOR2 *WINAPI D3DXVec2CatmullRom	(	D3DXVECTOR2 *	pout,
		const D3DXVECTOR2 *	pv0,
		const D3DXVECTOR2 *	pv1,
		const D3DXVECTOR2 *	pv2,
		const D3DXVECTOR2 *	pv3,
		FLOAT	s
	)

Definition at line 1634 of file math.c.

{
    TRACE("pout %p, pv0 %p, pv1 %p, pv2 %p, pv3 %p, s %f\n", pout, pv0, pv1, pv2, pv3, s);
 
    pout->x = 0.5f * (2.0f * pv1->x + (pv2->x - pv0->x) *s + (2.0f *pv0->x - 5.0f * pv1->x + 4.0f * pv2->x - pv3->x) * s * s + (pv3->x -3.0f * pv2->x + 3.0f * pv1->x - pv0->x) * s * s * s);
    pout->y = 0.5f * (2.0f * pv1->y + (pv2->y - pv0->y) *s + (2.0f *pv0->y - 5.0f * pv1->y + 4.0f * pv2->y - pv3->y) * s * s + (pv3->y -3.0f * pv2->y + 3.0f * pv1->y - pv0->y) * s * s * s);
    return pout;
}

D3DXVec2Hermite()

D3DXVECTOR2 *WINAPI D3DXVec2Hermite	(	D3DXVECTOR2 *	pout,
		const D3DXVECTOR2 *	pv1,
		const D3DXVECTOR2 *	pt1,
		const D3DXVECTOR2 *	pv2,
		const D3DXVECTOR2 *	pt2,
		FLOAT	s
	)

Definition at line 1643 of file math.c.

{
    FLOAT h1, h2, h3, h4;
 
    TRACE("pout %p, pv1 %p, pt1 %p, pv2 %p, pt2 %p, s %f\n", pout, pv1, pt1, pv2, pt2, s);
 
    h1 = 2.0f * s * s * s - 3.0f * s * s + 1.0f;
    h2 = s * s * s - 2.0f * s * s + s;
    h3 = -2.0f * s * s * s + 3.0f * s * s;
    h4 = s * s * s - s * s;
 
    pout->x = h1 * (pv1->x) + h2 * (pt1->x) + h3 * (pv2->x) + h4 * (pt2->x);
    pout->y = h1 * (pv1->y) + h2 * (pt1->y) + h3 * (pv2->y) + h4 * (pt2->y);
    return pout;
}

D3DXVec2Normalize()

D3DXVECTOR2 *WINAPI D3DXVec2Normalize	(	D3DXVECTOR2 *	pout,
		const D3DXVECTOR2 *	pv
	)

Definition at line 1659 of file math.c.

{
    FLOAT norm;
 
    TRACE("pout %p, pv %p\n", pout, pv);
 
    norm = D3DXVec2Length(pv);
    if ( !norm )
    {
        pout->x = 0.0f;
        pout->y = 0.0f;
    }
    else
    {
        pout->x = pv->x / norm;
        pout->y = pv->y / norm;
    }
 
    return pout;
}

D3DXVec2Transform()

D3DXVECTOR4 *WINAPI D3DXVec2Transform	(	D3DXVECTOR4 *	pout,
		const D3DXVECTOR2 *	pv,
		const D3DXMATRIX *	pm
	)

Definition at line 1680 of file math.c.

{
    D3DXVECTOR4 out;
 
    TRACE("pout %p, pv %p, pm %p\n", pout, pv, pm);
 
    out.x = pm->m[0][0] * pv->x + pm->m[1][0] * pv->y  + pm->m[3][0];
    out.y = pm->m[0][1] * pv->x + pm->m[1][1] * pv->y  + pm->m[3][1];
    out.z = pm->m[0][2] * pv->x + pm->m[1][2] * pv->y  + pm->m[3][2];
    out.w = pm->m[0][3] * pv->x + pm->m[1][3] * pv->y  + pm->m[3][3];
    *pout = out;
    return pout;
}

D3DXVec2TransformArray()

D3DXVECTOR4 *WINAPI D3DXVec2TransformArray	(	D3DXVECTOR4 *	pout,
		UINT	outstride,
		const D3DXVECTOR2 *	pv,
		UINT	vstride,
		const D3DXMATRIX *	pm,
		UINT	n
	)

Definition at line 1694 of file math.c.

{
    UINT i;
 
    TRACE("out %p, outstride %u, in %p, instride %u, matrix %p, elements %u\n", out, outstride, in, instride, matrix, elements);
 
    for (i = 0; i < elements; ++i) {
        D3DXVec2Transform(
            (D3DXVECTOR4*)((char*)out + outstride * i),
            (const D3DXVECTOR2*)((const char*)in + instride * i),
            matrix);
    }
    return out;
}

D3DXVec2TransformCoord()

D3DXVECTOR2 *WINAPI D3DXVec2TransformCoord	(	D3DXVECTOR2 *	pout,
		const D3DXVECTOR2 *	pv,
		const D3DXMATRIX *	pm
	)

Definition at line 1709 of file math.c.

{
    D3DXVECTOR2 v;
    FLOAT norm;
 
    TRACE("pout %p, pv %p, pm %p\n", pout, pv, pm);
 
    v = *pv;
    norm = pm->m[0][3] * pv->x + pm->m[1][3] * pv->y + pm->m[3][3];
 
    pout->x = (pm->m[0][0] * v.x + pm->m[1][0] * v.y + pm->m[3][0]) / norm;
    pout->y = (pm->m[0][1] * v.x + pm->m[1][1] * v.y + pm->m[3][1]) / norm;
 
    return pout;
}

D3DXVec2TransformCoordArray()

D3DXVECTOR2 *WINAPI D3DXVec2TransformCoordArray	(	D3DXVECTOR2 *	pout,
		UINT	outstride,
		const D3DXVECTOR2 *	pv,
		UINT	vstride,
		const D3DXMATRIX *	pm,
		UINT	n
	)

Definition at line 1725 of file math.c.

{
    UINT i;
 
    TRACE("out %p, outstride %u, in %p, instride %u, matrix %p, elements %u\n", out, outstride, in, instride, matrix, elements);
 
    for (i = 0; i < elements; ++i) {
        D3DXVec2TransformCoord(
            (D3DXVECTOR2*)((char*)out + outstride * i),
            (const D3DXVECTOR2*)((const char*)in + instride * i),
            matrix);
    }
    return out;
}

D3DXVec2TransformNormal()

D3DXVECTOR2 *WINAPI D3DXVec2TransformNormal	(	D3DXVECTOR2 *	pout,
		const D3DXVECTOR2 *	pv,
		const D3DXMATRIX *	pm
	)

Definition at line 1740 of file math.c.

{
    const D3DXVECTOR2 v = *pv;
 
    TRACE("pout %p, pv %p, pm %p\n", pout, pv, pm);
 
    pout->x = pm->m[0][0] * v.x + pm->m[1][0] * v.y;
    pout->y = pm->m[0][1] * v.x + pm->m[1][1] * v.y;
    return pout;
}

D3DXVec2TransformNormalArray()

D3DXVECTOR2 *WINAPI D3DXVec2TransformNormalArray	(	D3DXVECTOR2 *	pout,
		UINT	outstride,
		const D3DXVECTOR2 *	pv,
		UINT	vstride,
		const D3DXMATRIX *	pm,
		UINT	n
	)

Definition at line 1751 of file math.c.

{
    UINT i;
 
    TRACE("out %p, outstride %u, in %p, instride %u, matrix %p, elements %u\n", out, outstride, in, instride, matrix, elements);
 
    for (i = 0; i < elements; ++i) {
        D3DXVec2TransformNormal(
            (D3DXVECTOR2*)((char*)out + outstride * i),
            (const D3DXVECTOR2*)((const char*)in + instride * i),
            matrix);
    }
    return out;
}

D3DXVec3BaryCentric()

D3DXVECTOR3 *WINAPI D3DXVec3BaryCentric	(	D3DXVECTOR3 *	pout,
		const D3DXVECTOR3 *	pv1,
		const D3DXVECTOR3 *	pv2,
		const D3DXVECTOR3 *	pv3,
		FLOAT	f,
		FLOAT	g
	)

Definition at line 1768 of file math.c.

{
    TRACE("pout %p, pv1 %p, pv2 %p, pv3 %p, f %f, g %f\n", pout, pv1, pv2, pv3, f, g);
 
    pout->x = (1.0f-f-g) * (pv1->x) + f * (pv2->x) + g * (pv3->x);
    pout->y = (1.0f-f-g) * (pv1->y) + f * (pv2->y) + g * (pv3->y);
    pout->z = (1.0f-f-g) * (pv1->z) + f * (pv2->z) + g * (pv3->z);
    return pout;
}

D3DXVec3CatmullRom()

D3DXVECTOR3 *WINAPI D3DXVec3CatmullRom	(	D3DXVECTOR3 *	pout,
		const D3DXVECTOR3 *	pv0,
		const D3DXVECTOR3 *	pv1,
		const D3DXVECTOR3 *	pv2,
		const D3DXVECTOR3 *	pv3,
		FLOAT	s
	)

Definition at line 1778 of file math.c.

{
    TRACE("pout %p, pv0 %p, pv1 %p, pv2 %p, pv3 %p, s %f\n", pout, pv0, pv1, pv2, pv3, s);
 
    pout->x = 0.5f * (2.0f * pv1->x + (pv2->x - pv0->x) *s + (2.0f *pv0->x - 5.0f * pv1->x + 4.0f * pv2->x - pv3->x) * s * s + (pv3->x -3.0f * pv2->x + 3.0f * pv1->x - pv0->x) * s * s * s);
    pout->y = 0.5f * (2.0f * pv1->y + (pv2->y - pv0->y) *s + (2.0f *pv0->y - 5.0f * pv1->y + 4.0f * pv2->y - pv3->y) * s * s + (pv3->y -3.0f * pv2->y + 3.0f * pv1->y - pv0->y) * s * s * s);
    pout->z = 0.5f * (2.0f * pv1->z + (pv2->z - pv0->z) *s + (2.0f *pv0->z - 5.0f * pv1->z + 4.0f * pv2->z - pv3->z) * s * s + (pv3->z -3.0f * pv2->z + 3.0f * pv1->z - pv0->z) * s * s * s);
    return pout;
}

D3DXVec3Hermite()

D3DXVECTOR3 *WINAPI D3DXVec3Hermite	(	D3DXVECTOR3 *	pout,
		const D3DXVECTOR3 *	pv1,
		const D3DXVECTOR3 *	pt1,
		const D3DXVECTOR3 *	pv2,
		const D3DXVECTOR3 *	pt2,
		FLOAT	s
	)

Definition at line 1788 of file math.c.

{
    FLOAT h1, h2, h3, h4;
 
    TRACE("pout %p, pv1 %p, pt1 %p, pv2 %p, pt2 %p, s %f\n", pout, pv1, pt1, pv2, pt2, s);
 
    h1 = 2.0f * s * s * s - 3.0f * s * s + 1.0f;
    h2 = s * s * s - 2.0f * s * s + s;
    h3 = -2.0f * s * s * s + 3.0f * s * s;
    h4 = s * s * s - s * s;
 
    pout->x = h1 * (pv1->x) + h2 * (pt1->x) + h3 * (pv2->x) + h4 * (pt2->x);
    pout->y = h1 * (pv1->y) + h2 * (pt1->y) + h3 * (pv2->y) + h4 * (pt2->y);
    pout->z = h1 * (pv1->z) + h2 * (pt1->z) + h3 * (pv2->z) + h4 * (pt2->z);
    return pout;
}

D3DXVec3Normalize()

D3DXVECTOR3 *WINAPI D3DXVec3Normalize	(	D3DXVECTOR3 *	pout,
		const D3DXVECTOR3 *	pv
	)

Definition at line 1805 of file math.c.

{
    FLOAT norm;
 
    TRACE("pout %p, pv %p\n", pout, pv);
 
    norm = D3DXVec3Length(pv);
    if ( !norm )
    {
        pout->x = 0.0f;
        pout->y = 0.0f;
        pout->z = 0.0f;
    }
    else
    {
        pout->x = pv->x / norm;
        pout->y = pv->y / norm;
        pout->z = pv->z / norm;
    }
 
    return pout;
}

D3DXVec3Project()

D3DXVECTOR3 *WINAPI D3DXVec3Project	(	D3DXVECTOR3 *	pout,
		const D3DXVECTOR3 *	pv,
		const D3DVIEWPORT9 *	pviewport,
		const D3DXMATRIX *	pprojection,
		const D3DXMATRIX *	pview,
		const D3DXMATRIX *	pworld
	)

Definition at line 1828 of file math.c.

{
    D3DXMATRIX m;
 
    TRACE("pout %p, pv %p, pviewport %p, pprojection %p, pview %p, pworld %p\n", pout, pv, pviewport, pprojection, pview, pworld);
 
    D3DXMatrixIdentity(&m);
    if (pworld) D3DXMatrixMultiply(&m, &m, pworld);
    if (pview) D3DXMatrixMultiply(&m, &m, pview);
    if (pprojection) D3DXMatrixMultiply(&m, &m, pprojection);
 
    D3DXVec3TransformCoord(pout, pv, &m);
 
    if (pviewport)
    {
        pout->x = pviewport->X +  ( 1.0f + pout->x ) * pviewport->Width / 2.0f;
        pout->y = pviewport->Y +  ( 1.0f - pout->y ) * pviewport->Height / 2.0f;
        pout->z = pviewport->MinZ + pout->z * ( pviewport->MaxZ - pviewport->MinZ );
    }
    return pout;
}

D3DXVec3ProjectArray()

D3DXVECTOR3 *WINAPI D3DXVec3ProjectArray	(	D3DXVECTOR3 *	pout,
		UINT	outstride,
		const D3DXVECTOR3 *	pv,
		UINT	vstride,
		const D3DVIEWPORT9 *	pviewport,
		const D3DXMATRIX *	pprojection,
		const D3DXMATRIX *	pview,
		const D3DXMATRIX *	pworld,
		UINT	n
	)

Definition at line 1850 of file math.c.

{
    UINT i;
 
    TRACE("out %p, outstride %u, in %p, instride %u, viewport %p, projection %p, view %p, world %p, elements %u\n",
        out, outstride, in, instride, viewport, projection, view, world, elements);
 
    for (i = 0; i < elements; ++i) {
        D3DXVec3Project(
            (D3DXVECTOR3*)((char*)out + outstride * i),
            (const D3DXVECTOR3*)((const char*)in + instride * i),
            viewport, projection, view, world);
    }
    return out;
}

D3DXVec3Transform()

D3DXVECTOR4 *WINAPI D3DXVec3Transform	(	D3DXVECTOR4 *	pout,
		const D3DXVECTOR3 *	pv,
		const D3DXMATRIX *	pm
	)

Definition at line 1866 of file math.c.

{
    D3DXVECTOR4 out;
 
    TRACE("pout %p, pv %p, pm %p\n", pout, pv, pm);
 
    out.x = pm->m[0][0] * pv->x + pm->m[1][0] * pv->y + pm->m[2][0] * pv->z + pm->m[3][0];
    out.y = pm->m[0][1] * pv->x + pm->m[1][1] * pv->y + pm->m[2][1] * pv->z + pm->m[3][1];
    out.z = pm->m[0][2] * pv->x + pm->m[1][2] * pv->y + pm->m[2][2] * pv->z + pm->m[3][2];
    out.w = pm->m[0][3] * pv->x + pm->m[1][3] * pv->y + pm->m[2][3] * pv->z + pm->m[3][3];
    *pout = out;
    return pout;
}

D3DXVec3TransformArray()

D3DXVECTOR4 *WINAPI D3DXVec3TransformArray	(	D3DXVECTOR4 *	pout,
		UINT	outstride,
		const D3DXVECTOR3 *	pv,
		UINT	vstride,
		const D3DXMATRIX *	pm,
		UINT	n
	)

Definition at line 1880 of file math.c.

{
    UINT i;
 
    TRACE("out %p, outstride %u, in %p, instride %u, matrix %p, elements %u\n", out, outstride, in, instride, matrix, elements);
 
    for (i = 0; i < elements; ++i) {
        D3DXVec3Transform(
            (D3DXVECTOR4*)((char*)out + outstride * i),
            (const D3DXVECTOR3*)((const char*)in + instride * i),
            matrix);
    }
    return out;
}

D3DXVec3TransformCoord()

D3DXVECTOR3 *WINAPI D3DXVec3TransformCoord	(	D3DXVECTOR3 *	pout,
		const D3DXVECTOR3 *	pv,
		const D3DXMATRIX *	pm
	)

Definition at line 1895 of file math.c.

{
    D3DXVECTOR3 out;
    FLOAT norm;
 
    TRACE("pout %p, pv %p, pm %p\n", pout, pv, pm);
 
    norm = pm->m[0][3] * pv->x + pm->m[1][3] * pv->y + pm->m[2][3] *pv->z + pm->m[3][3];
 
    out.x = (pm->m[0][0] * pv->x + pm->m[1][0] * pv->y + pm->m[2][0] * pv->z + pm->m[3][0]) / norm;
    out.y = (pm->m[0][1] * pv->x + pm->m[1][1] * pv->y + pm->m[2][1] * pv->z + pm->m[3][1]) / norm;
    out.z = (pm->m[0][2] * pv->x + pm->m[1][2] * pv->y + pm->m[2][2] * pv->z + pm->m[3][2]) / norm;
 
    *pout = out;
 
    return pout;
}

D3DXVec3TransformCoordArray()

D3DXVECTOR3 *WINAPI D3DXVec3TransformCoordArray	(	D3DXVECTOR3 *	pout,
		UINT	outstride,
		const D3DXVECTOR3 *	pv,
		UINT	vstride,
		const D3DXMATRIX *	pm,
		UINT	n
	)

Definition at line 1913 of file math.c.

{
    UINT i;
 
    TRACE("out %p, outstride %u, in %p, instride %u, matrix %p, elements %u\n", out, outstride, in, instride, matrix, elements);
 
    for (i = 0; i < elements; ++i) {
        D3DXVec3TransformCoord(
            (D3DXVECTOR3*)((char*)out + outstride * i),
            (const D3DXVECTOR3*)((const char*)in + instride * i),
            matrix);
    }
    return out;
}

D3DXVec3TransformNormal()

D3DXVECTOR3 *WINAPI D3DXVec3TransformNormal	(	D3DXVECTOR3 *	pout,
		const D3DXVECTOR3 *	pv,
		const D3DXMATRIX *	pm
	)

Definition at line 1928 of file math.c.

{
    const D3DXVECTOR3 v = *pv;
 
    TRACE("pout %p, pv %p, pm %p\n", pout, pv, pm);
 
    pout->x = pm->m[0][0] * v.x + pm->m[1][0] * v.y + pm->m[2][0] * v.z;
    pout->y = pm->m[0][1] * v.x + pm->m[1][1] * v.y + pm->m[2][1] * v.z;
    pout->z = pm->m[0][2] * v.x + pm->m[1][2] * v.y + pm->m[2][2] * v.z;
    return pout;
 
}

D3DXVec3TransformNormalArray()

D3DXVECTOR3 *WINAPI D3DXVec3TransformNormalArray	(	D3DXVECTOR3 *	pout,
		UINT	outstride,
		const D3DXVECTOR3 *	pv,
		UINT	vstride,
		const D3DXMATRIX *	pm,
		UINT	n
	)

Definition at line 1941 of file math.c.

{
    UINT i;
 
    TRACE("out %p, outstride %u, in %p, instride %u, matrix %p, elements %u\n", out, outstride, in, instride, matrix, elements);
 
    for (i = 0; i < elements; ++i) {
        D3DXVec3TransformNormal(
            (D3DXVECTOR3*)((char*)out + outstride * i),
            (const D3DXVECTOR3*)((const char*)in + instride * i),
            matrix);
    }
    return out;
}

D3DXVec3Unproject()

D3DXVECTOR3 *WINAPI D3DXVec3Unproject	(	D3DXVECTOR3 *	pout,
		const D3DXVECTOR3 *	pv,
		const D3DVIEWPORT9 *	pviewport,
		const D3DXMATRIX *	pprojection,
		const D3DXMATRIX *	pview,
		const D3DXMATRIX *	pworld
	)

Definition at line 1956 of file math.c.

{
    D3DXMATRIX m;
 
    TRACE("out %p, v %p, viewport %p, projection %p, view %p, world %p.\n",
            out, v, viewport, projection, view, world);
 
    D3DXMatrixIdentity(&m);
    if (world)
        D3DXMatrixMultiply(&m, &m, world);
    if (view)
        D3DXMatrixMultiply(&m, &m, view);
    if (projection)
        D3DXMatrixMultiply(&m, &m, projection);
    D3DXMatrixInverse(&m, NULL, &m);
 
    *out = *v;
    if (viewport)
    {
        out->x = 2.0f * (out->x - viewport->X) / viewport->Width - 1.0f;
        out->y = 1.0f - 2.0f * (out->y - viewport->Y) / viewport->Height;
        out->z = (out->z - viewport->MinZ) / (viewport->MaxZ - viewport->MinZ);
    }
    D3DXVec3TransformCoord(out, out, &m);
    return out;
}

D3DXVec3UnprojectArray()

D3DXVECTOR3 *WINAPI D3DXVec3UnprojectArray	(	D3DXVECTOR3 *	pout,
		UINT	outstride,
		const D3DXVECTOR3 *	pv,
		UINT	vstride,
		const D3DVIEWPORT9 *	pviewport,
		const D3DXMATRIX *	pprojection,
		const D3DXMATRIX *	pview,
		const D3DXMATRIX *	pworld,
		UINT	n
	)

Definition at line 1985 of file math.c.

{
    UINT i;
 
    TRACE("out %p, outstride %u, in %p, instride %u, viewport %p, projection %p, view %p, world %p, elements %u\n",
        out, outstride, in, instride, viewport, projection, view, world, elements);
 
    for (i = 0; i < elements; ++i) {
        D3DXVec3Unproject(
            (D3DXVECTOR3*)((char*)out + outstride * i),
            (const D3DXVECTOR3*)((const char*)in + instride * i),
            viewport, projection, view, world);
    }
    return out;
}

D3DXVec4BaryCentric()

D3DXVECTOR4 *WINAPI D3DXVec4BaryCentric	(	D3DXVECTOR4 *	pout,
		const D3DXVECTOR4 *	pv1,
		const D3DXVECTOR4 *	pv2,
		const D3DXVECTOR4 *	pv3,
		FLOAT	f,
		FLOAT	g
	)

Definition at line 2003 of file math.c.

{
    TRACE("pout %p, pv1 %p, pv2 %p, pv3 %p, f %f, g %f\n", pout, pv1, pv2, pv3, f, g);
 
    pout->x = (1.0f-f-g) * (pv1->x) + f * (pv2->x) + g * (pv3->x);
    pout->y = (1.0f-f-g) * (pv1->y) + f * (pv2->y) + g * (pv3->y);
    pout->z = (1.0f-f-g) * (pv1->z) + f * (pv2->z) + g * (pv3->z);
    pout->w = (1.0f-f-g) * (pv1->w) + f * (pv2->w) + g * (pv3->w);
    return pout;
}

D3DXVec4CatmullRom()

D3DXVECTOR4 *WINAPI D3DXVec4CatmullRom	(	D3DXVECTOR4 *	pout,
		const D3DXVECTOR4 *	pv0,
		const D3DXVECTOR4 *	pv1,
		const D3DXVECTOR4 *	pv2,
		const D3DXVECTOR4 *	pv3,
		FLOAT	s
	)

Definition at line 2014 of file math.c.

{
    TRACE("pout %p, pv0 %p, pv1 %p, pv2 %p, pv3 %p, s %f\n", pout, pv0, pv1, pv2, pv3, s);
 
    pout->x = 0.5f * (2.0f * pv1->x + (pv2->x - pv0->x) *s + (2.0f *pv0->x - 5.0f * pv1->x + 4.0f * pv2->x - pv3->x) * s * s + (pv3->x -3.0f * pv2->x + 3.0f * pv1->x - pv0->x) * s * s * s);
    pout->y = 0.5f * (2.0f * pv1->y + (pv2->y - pv0->y) *s + (2.0f *pv0->y - 5.0f * pv1->y + 4.0f * pv2->y - pv3->y) * s * s + (pv3->y -3.0f * pv2->y + 3.0f * pv1->y - pv0->y) * s * s * s);
    pout->z = 0.5f * (2.0f * pv1->z + (pv2->z - pv0->z) *s + (2.0f *pv0->z - 5.0f * pv1->z + 4.0f * pv2->z - pv3->z) * s * s + (pv3->z -3.0f * pv2->z + 3.0f * pv1->z - pv0->z) * s * s * s);
    pout->w = 0.5f * (2.0f * pv1->w + (pv2->w - pv0->w) *s + (2.0f *pv0->w - 5.0f * pv1->w + 4.0f * pv2->w - pv3->w) * s * s + (pv3->w -3.0f * pv2->w + 3.0f * pv1->w - pv0->w) * s * s * s);
    return pout;
}

D3DXVec4Cross()

D3DXVECTOR4 *WINAPI D3DXVec4Cross	(	D3DXVECTOR4 *	pout,
		const D3DXVECTOR4 *	pv1,
		const D3DXVECTOR4 *	pv2,
		const D3DXVECTOR4 *	pv3
	)

Definition at line 2025 of file math.c.

{
    D3DXVECTOR4 out;
 
    TRACE("pout %p, pv1 %p, pv2 %p, pv3 %p\n", pout, pv1, pv2, pv3);
 
    out.x = pv1->y * (pv2->z * pv3->w - pv3->z * pv2->w) - pv1->z * (pv2->y * pv3->w - pv3->y * pv2->w) + pv1->w * (pv2->y * pv3->z - pv2->z *pv3->y);
    out.y = -(pv1->x * (pv2->z * pv3->w - pv3->z * pv2->w) - pv1->z * (pv2->x * pv3->w - pv3->x * pv2->w) + pv1->w * (pv2->x * pv3->z - pv3->x * pv2->z));
    out.z = pv1->x * (pv2->y * pv3->w - pv3->y * pv2->w) - pv1->y * (pv2->x *pv3->w - pv3->x * pv2->w) + pv1->w * (pv2->x * pv3->y - pv3->x * pv2->y);
    out.w = -(pv1->x * (pv2->y * pv3->z - pv3->y * pv2->z) - pv1->y * (pv2->x * pv3->z - pv3->x *pv2->z) + pv1->z * (pv2->x * pv3->y - pv3->x * pv2->y));
    *pout = out;
    return pout;
}

D3DXVec4Hermite()

D3DXVECTOR4 *WINAPI D3DXVec4Hermite	(	D3DXVECTOR4 *	pout,
		const D3DXVECTOR4 *	pv1,
		const D3DXVECTOR4 *	pt1,
		const D3DXVECTOR4 *	pv2,
		const D3DXVECTOR4 *	pt2,
		FLOAT	s
	)

Definition at line 2039 of file math.c.

{
    FLOAT h1, h2, h3, h4;
 
    TRACE("pout %p, pv1 %p, pt1 %p, pv2 %p, pt2 %p, s %f\n", pout, pv1, pt1, pv2, pt2, s);
 
    h1 = 2.0f * s * s * s - 3.0f * s * s + 1.0f;
    h2 = s * s * s - 2.0f * s * s + s;
    h3 = -2.0f * s * s * s + 3.0f * s * s;
    h4 = s * s * s - s * s;
 
    pout->x = h1 * (pv1->x) + h2 * (pt1->x) + h3 * (pv2->x) + h4 * (pt2->x);
    pout->y = h1 * (pv1->y) + h2 * (pt1->y) + h3 * (pv2->y) + h4 * (pt2->y);
    pout->z = h1 * (pv1->z) + h2 * (pt1->z) + h3 * (pv2->z) + h4 * (pt2->z);
    pout->w = h1 * (pv1->w) + h2 * (pt1->w) + h3 * (pv2->w) + h4 * (pt2->w);
    return pout;
}

D3DXVec4Normalize()

D3DXVECTOR4 *WINAPI D3DXVec4Normalize	(	D3DXVECTOR4 *	pout,
		const D3DXVECTOR4 *	pv
	)

Definition at line 2057 of file math.c.

{
    FLOAT norm;
 
    TRACE("pout %p, pv %p\n", pout, pv);
 
    norm = D3DXVec4Length(pv);
 
    pout->x = pv->x / norm;
    pout->y = pv->y / norm;
    pout->z = pv->z / norm;
    pout->w = pv->w / norm;
 
    return pout;
}

D3DXVec4Transform()

D3DXVECTOR4 *WINAPI D3DXVec4Transform	(	D3DXVECTOR4 *	pout,
		const D3DXVECTOR4 *	pv,
		const D3DXMATRIX *	pm
	)

Definition at line 2073 of file math.c.

{
    D3DXVECTOR4 out;
 
    TRACE("pout %p, pv %p, pm %p\n", pout, pv, pm);
 
    out.x = pm->m[0][0] * pv->x + pm->m[1][0] * pv->y + pm->m[2][0] * pv->z + pm->m[3][0] * pv->w;
    out.y = pm->m[0][1] * pv->x + pm->m[1][1] * pv->y + pm->m[2][1] * pv->z + pm->m[3][1] * pv->w;
    out.z = pm->m[0][2] * pv->x + pm->m[1][2] * pv->y + pm->m[2][2] * pv->z + pm->m[3][2] * pv->w;
    out.w = pm->m[0][3] * pv->x + pm->m[1][3] * pv->y + pm->m[2][3] * pv->z + pm->m[3][3] * pv->w;
    *pout = out;
    return pout;
}

D3DXVec4TransformArray()

D3DXVECTOR4 *WINAPI D3DXVec4TransformArray	(	D3DXVECTOR4 *	pout,
		UINT	outstride,
		const D3DXVECTOR4 *	pv,
		UINT	vstride,
		const D3DXMATRIX *	pm,
		UINT	n
	)

Definition at line 2087 of file math.c.

{
    UINT i;
 
    TRACE("out %p, outstride %u, in %p, instride %u, matrix %p, elements %u\n", out, outstride, in, instride, matrix, elements);
 
    for (i = 0; i < elements; ++i) {
        D3DXVec4Transform(
            (D3DXVECTOR4*)((char*)out + outstride * i),
            (const D3DXVECTOR4*)((const char*)in + instride * i),
            matrix);
    }
    return out;
}

DECLARE_INTERFACE_()

DECLARE_INTERFACE_	(	ID3DXMatrixStack	,
		IUnknown
	)

Definition at line 416 of file d3dx9math.h.

{
    STDMETHOD(QueryInterface)(THIS_ REFIID riid, void **out) PURE;
    STDMETHOD_(ULONG,AddRef)(THIS) PURE;
    STDMETHOD_(ULONG,Release)(THIS) PURE;
    STDMETHOD(Pop)(THIS) PURE;
    STDMETHOD(Push)(THIS) PURE;
    STDMETHOD(LoadIdentity)(THIS) PURE;
    STDMETHOD(LoadMatrix)(THIS_ const D3DXMATRIX* pM ) PURE;
    STDMETHOD(MultMatrix)(THIS_ const D3DXMATRIX* pM ) PURE;
    STDMETHOD(MultMatrixLocal)(THIS_ const D3DXMATRIX* pM ) PURE;
    STDMETHOD(RotateAxis)(THIS_ const D3DXVECTOR3* pV, FLOAT Angle) PURE;
    STDMETHOD(RotateAxisLocal)(THIS_ const D3DXVECTOR3* pV, FLOAT Angle) PURE;
    STDMETHOD(RotateYawPitchRoll)(THIS_ FLOAT Yaw, FLOAT Pitch, FLOAT Roll) PURE;
    STDMETHOD(RotateYawPitchRollLocal)(THIS_ FLOAT Yaw, FLOAT Pitch, FLOAT Roll) PURE;
    STDMETHOD(Scale)(THIS_ FLOAT x, FLOAT y, FLOAT z) PURE;
    STDMETHOD(ScaleLocal)(THIS_ FLOAT x, FLOAT y, FLOAT z) PURE;
    STDMETHOD(Translate)(THIS_ FLOAT x, FLOAT y, FLOAT z ) PURE;
    STDMETHOD(TranslateLocal)(THIS_ FLOAT x, FLOAT y, FLOAT z) PURE;
    STDMETHOD_(D3DXMATRIX*, GetTop)(THIS) PURE;
};

DEFINE_GUID()

DEFINE_GUID	(	IID_ID3DXMatrixStack	,
		0xc7885ba7	,
		0xf990	,
		0x4fe7	,
		0x92	,
		0x2d	,
		0x85	,
		0x15	,
		0xe4	,
		0x77	,
		0xdd	,
		0x85
	)