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wine/dlls/d3dx8/math.c

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/*
* Copyright 2007 David Adam
*
* This library is free software; you can redistribute it and/or
* modify it under the terms of the GNU Lesser General Public
* License as published by the Free Software Foundation; either
* version 2.1 of the License, or (at your option) any later version.
*
* This library is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
* Lesser General Public License for more details.
*
* You should have received a copy of the GNU Lesser General Public
* License along with this library; if not, write to the Free Software
* Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA
*/
#include <stdio.h>
#include <stdlib.h>
#include <stdarg.h>
#include <assert.h>
#define NONAMELESSUNION
#include "windef.h"
#include "winbase.h"
#include "wingdi.h"
#include "d3dx8.h"
#include "wine/debug.h"
WINE_DEFAULT_DEBUG_CHANNEL(d3dx8);
/*_________________D3DXColor____________________*/
D3DXCOLOR* WINAPI D3DXColorAdjustContrast(D3DXCOLOR *pout, CONST D3DXCOLOR *pc, FLOAT 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;
}
D3DXCOLOR* WINAPI D3DXColorAdjustSaturation(D3DXCOLOR *pout, CONST D3DXCOLOR *pc, FLOAT s)
{
FLOAT grey;
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;
}
/*_________________D3DXMatrix____________________*/
D3DXMATRIX* WINAPI D3DXMatrixAffineTransformation(D3DXMATRIX *pout, float scaling, D3DXVECTOR3 *rotationcenter, D3DXQUATERNION *rotation, D3DXVECTOR3 *translation)
{
D3DXMATRIX m1, m2, m3, m4, m5, p1, p2, p3;
D3DXMatrixScaling(&m1, scaling, scaling, scaling);
if ( !rotationcenter )
{
D3DXMatrixIdentity(&m2);
D3DXMatrixIdentity(&m4);
}
else
{
D3DXMatrixTranslation(&m2, -rotationcenter->x, -rotationcenter->y, -rotationcenter->z);
D3DXMatrixTranslation(&m4, rotationcenter->x, rotationcenter->y, rotationcenter->z);
}
if ( !rotation )
{
D3DXMatrixIdentity(&m3);
}
else
{
D3DXMatrixRotationQuaternion(&m3, rotation);
}
if ( !translation )
{
D3DXMatrixIdentity(&m5);
}
else
{
D3DXMatrixTranslation(&m5, translation->x, translation->y, translation->z);
}
D3DXMatrixMultiply(&p1, &m1, &m2);
D3DXMatrixMultiply(&p2, &p1, &m3);
D3DXMatrixMultiply(&p3, &p2, &m4);
D3DXMatrixMultiply(pout, &p3, &m5);
return pout;
}
FLOAT WINAPI D3DXMatrixfDeterminant(CONST D3DXMATRIX *pm)
{
D3DXVECTOR4 minor, v1, v2, v3;
FLOAT det;
v1.x = pm->u.m[0][0]; v1.y = pm->u.m[1][0]; v1.z = pm->u.m[2][0]; v1.w = pm->u.m[3][0];
v2.x = pm->u.m[0][1]; v2.y = pm->u.m[1][1]; v2.z = pm->u.m[2][1]; v2.w = pm->u.m[3][1];
v3.x = pm->u.m[0][2]; v3.y = pm->u.m[1][2]; v3.z = pm->u.m[2][2]; v3.w = pm->u.m[3][2];
D3DXVec4Cross(&minor,&v1,&v2,&v3);
det = - (pm->u.m[0][3] * minor.x + pm->u.m[1][3] * minor.y + pm->u.m[2][3] * minor.z + pm->u.m[3][3] * minor.w);
return det;
}
D3DXMATRIX* WINAPI D3DXMatrixInverse(D3DXMATRIX *pout, FLOAT *pdeterminant, CONST D3DXMATRIX *pm)
{
int a, i, j;
D3DXVECTOR4 v, vec[3];
FLOAT cofactor, det;
det = D3DXMatrixfDeterminant(pm);
if ( !det ) return NULL;
if ( pdeterminant ) *pdeterminant = det;
for (i=0; i<4; i++)
{
for (j=0; j<4; j++)
{
if (j != i )
{
a = j;
if ( j > i ) a = a-1;
vec[a].x = pm->u.m[j][0];
vec[a].y = pm->u.m[j][1];
vec[a].z = pm->u.m[j][2];
vec[a].w = pm->u.m[j][3];
}
}
D3DXVec4Cross(&v, &vec[0], &vec[1], &vec[2]);
for (j=0; j<4; j++)
{
switch(j)
{
case 0: cofactor = v.x; break;
case 1: cofactor = v.y; break;
case 2: cofactor = v.z; break;
case 3: cofactor = v.w; break;
}
pout->u.m[j][i] = pow(-1.0f, i) * cofactor / det;
}
}
return pout;
}
D3DXMATRIX* WINAPI D3DXMatrixLookAtLH(D3DXMATRIX *pout, CONST D3DXVECTOR3 *peye, CONST D3DXVECTOR3 *pat, CONST D3DXVECTOR3 *pup)
{
D3DXVECTOR3 right, rightn, up, upn, vec, vec2;
D3DXVec3Subtract(&vec2, pat, peye);
D3DXVec3Normalize(&vec, &vec2);
D3DXVec3Cross(&right, pup, &vec);
D3DXVec3Cross(&up, &vec, &right);
D3DXVec3Normalize(&rightn, &right);
D3DXVec3Normalize(&upn, &up);
pout->u.m[0][0] = rightn.x;
pout->u.m[1][0] = rightn.y;
pout->u.m[2][0] = rightn.z;
pout->u.m[3][0] = -D3DXVec3Dot(&rightn,peye);
pout->u.m[0][1] = upn.x;
pout->u.m[1][1] = upn.y;
pout->u.m[2][1] = upn.z;
pout->u.m[3][1] = -D3DXVec3Dot(&upn, peye);
pout->u.m[0][2] = vec.x;
pout->u.m[1][2] = vec.y;
pout->u.m[2][2] = vec.z;
pout->u.m[3][2] = -D3DXVec3Dot(&vec, peye);
pout->u.m[0][3] = 0.0f;
pout->u.m[1][3] = 0.0f;
pout->u.m[2][3] = 0.0f;
pout->u.m[3][3] = 1.0f;
return pout;
}
D3DXMATRIX* WINAPI D3DXMatrixLookAtRH(D3DXMATRIX *pout, CONST D3DXVECTOR3 *peye, CONST D3DXVECTOR3 *pat, CONST D3DXVECTOR3 *pup)
{
D3DXVECTOR3 right, rightn, up, upn, vec, vec2;
D3DXVec3Subtract(&vec2, pat, peye);
D3DXVec3Normalize(&vec, &vec2);
D3DXVec3Cross(&right, pup, &vec);
D3DXVec3Cross(&up, &vec, &right);
D3DXVec3Normalize(&rightn, &right);
D3DXVec3Normalize(&upn, &up);
pout->u.m[0][0] = -rightn.x;
pout->u.m[1][0] = -rightn.y;
pout->u.m[2][0] = -rightn.z;
pout->u.m[3][0] = D3DXVec3Dot(&rightn,peye);
pout->u.m[0][1] = upn.x;
pout->u.m[1][1] = upn.y;
pout->u.m[2][1] = upn.z;
pout->u.m[3][1] = -D3DXVec3Dot(&upn, peye);
pout->u.m[0][2] = -vec.x;
pout->u.m[1][2] = -vec.y;
pout->u.m[2][2] = -vec.z;
pout->u.m[3][2] = D3DXVec3Dot(&vec, peye);
pout->u.m[0][3] = 0.0f;
pout->u.m[1][3] = 0.0f;
pout->u.m[2][3] = 0.0f;
pout->u.m[3][3] = 1.0f;
return pout;
}
D3DXMATRIX* WINAPI D3DXMatrixMultiply(D3DXMATRIX *pout, CONST D3DXMATRIX *pm1, CONST D3DXMATRIX *pm2)
{
int i,j;
for (i=0; i<4; i++)
{
for (j=0; j<4; j++)
{
pout->u.m[i][j] = pm1->u.m[i][0] * pm2->u.m[0][j] + pm1->u.m[i][1] * pm2->u.m[1][j] + pm1->u.m[i][2] * pm2->u.m[2][j] + pm1->u.m[i][3] * pm2->u.m[3][j];
}
}
return pout;
}
D3DXMATRIX* WINAPI D3DXMatrixMultiplyTranspose(D3DXMATRIX *pout, CONST D3DXMATRIX *pm1, CONST D3DXMATRIX *pm2)
{
D3DXMATRIX temp;
D3DXMatrixMultiply(&temp, pm1, pm2);
D3DXMatrixTranspose(pout, &temp);
return pout;
}
D3DXMATRIX* WINAPI D3DXMatrixOrthoLH(D3DXMATRIX *pout, FLOAT w, FLOAT h, FLOAT zn, FLOAT zf)
{
D3DXMatrixIdentity(pout);
pout->u.m[0][0] = 2.0f / w;
pout->u.m[1][1] = 2.0f / h;
pout->u.m[2][2] = 1.0f / (zf - zn);
pout->u.m[3][2] = zn / (zn - zf);
return pout;
}
D3DXMATRIX* WINAPI D3DXMatrixOrthoOffCenterLH(D3DXMATRIX *pout, FLOAT l, FLOAT r, FLOAT b, FLOAT t, FLOAT zn, FLOAT zf)
{
D3DXMatrixIdentity(pout);
pout->u.m[0][0] = 2.0f / (r - l);
pout->u.m[1][1] = 2.0f / (t - b);
pout->u.m[2][2] = 1.0f / (zf -zn);
pout->u.m[3][0] = -1.0f -2.0f *l / (r - l);
pout->u.m[3][1] = 1.0f + 2.0f * t / (b - t);
pout->u.m[3][2] = zn / (zn -zf);
return pout;
}
D3DXMATRIX* WINAPI D3DXMatrixOrthoOffCenterRH(D3DXMATRIX *pout, FLOAT l, FLOAT r, FLOAT b, FLOAT t, FLOAT zn, FLOAT zf)
{
D3DXMatrixIdentity(pout);
pout->u.m[0][0] = 2.0f / (r - l);
pout->u.m[1][1] = 2.0f / (t - b);
pout->u.m[2][2] = 1.0f / (zn -zf);
pout->u.m[3][0] = -1.0f -2.0f *l / (r - l);
pout->u.m[3][1] = 1.0f + 2.0f * t / (b - t);
pout->u.m[3][2] = zn / (zn -zf);
return pout;
}
D3DXMATRIX* WINAPI D3DXMatrixOrthoRH(D3DXMATRIX *pout, FLOAT w, FLOAT h, FLOAT zn, FLOAT zf)
{
D3DXMatrixIdentity(pout);
pout->u.m[0][0] = 2.0f / w;
pout->u.m[1][1] = 2.0f / h;
pout->u.m[2][2] = 1.0f / (zn - zf);
pout->u.m[3][2] = zn / (zn - zf);
return pout;
}
D3DXMATRIX* WINAPI D3DXMatrixPerspectiveFovLH(D3DXMATRIX *pout, FLOAT fovy, FLOAT aspect, FLOAT zn, FLOAT zf)
{
D3DXMatrixIdentity(pout);
pout->u.m[0][0] = 1.0f / (aspect * tan(fovy/2.0f));
pout->u.m[1][1] = 1.0f / tan(fovy/2.0f);
pout->u.m[2][2] = zf / (zf - zn);
pout->u.m[2][3] = 1.0f;
pout->u.m[3][2] = (zf * zn) / (zn - zf);
pout->u.m[3][3] = 0.0f;
return pout;
}
D3DXMATRIX* WINAPI D3DXMatrixPerspectiveFovRH(D3DXMATRIX *pout, FLOAT fovy, FLOAT aspect, FLOAT zn, FLOAT zf)
{
D3DXMatrixIdentity(pout);
pout->u.m[0][0] = 1.0f / (aspect * tan(fovy/2.0f));
pout->u.m[1][1] = 1.0f / tan(fovy/2.0f);
pout->u.m[2][2] = zf / (zn - zf);
pout->u.m[2][3] = -1.0f;
pout->u.m[3][2] = (zf * zn) / (zn - zf);
pout->u.m[3][3] = 0.0f;
return pout;
}
D3DXMATRIX* WINAPI D3DXMatrixPerspectiveLH(D3DXMATRIX *pout, FLOAT w, FLOAT h, FLOAT zn, FLOAT zf)
{
D3DXMatrixIdentity(pout);
pout->u.m[0][0] = 2.0f * zn / w;
pout->u.m[1][1] = 2.0f * zn / h;
pout->u.m[2][2] = zf / (zf - zn);
pout->u.m[3][2] = (zn * zf) / (zn - zf);
pout->u.m[2][3] = 1.0f;
pout->u.m[3][3] = 0.0f;
return pout;
}
D3DXMATRIX* WINAPI D3DXMatrixPerspectiveOffCenterLH(D3DXMATRIX *pout, FLOAT l, FLOAT r, FLOAT b, FLOAT t, FLOAT zn, FLOAT zf)
{
D3DXMatrixIdentity(pout);
pout->u.m[0][0] = 2.0f * zn / (r - l);
pout->u.m[1][1] = -2.0f * zn / (b - t);
pout->u.m[2][0] = -1.0f - 2.0f * l / (r - l);
pout->u.m[2][1] = 1.0f + 2.0f * t / (b - t);
pout->u.m[2][2] = - zf / (zn - zf);
pout->u.m[3][2] = (zn * zf) / (zn -zf);
pout->u.m[2][3] = 1.0f;
pout->u.m[3][3] = 0.0f;
return pout;
}
D3DXMATRIX* WINAPI D3DXMatrixPerspectiveOffCenterRH(D3DXMATRIX *pout, FLOAT l, FLOAT r, FLOAT b, FLOAT t, FLOAT zn, FLOAT zf)
{
D3DXMatrixIdentity(pout);
pout->u.m[0][0] = 2.0f * zn / (r - l);
pout->u.m[1][1] = -2.0f * zn / (b - t);
pout->u.m[2][0] = 1.0f + 2.0f * l / (r - l);
pout->u.m[2][1] = -1.0f -2.0f * t / (b - t);
pout->u.m[2][2] = zf / (zn - zf);
pout->u.m[3][2] = (zn * zf) / (zn -zf);
pout->u.m[2][3] = -1.0f;
pout->u.m[3][3] = 0.0f;
return pout;
}
D3DXMATRIX* WINAPI D3DXMatrixPerspectiveRH(D3DXMATRIX *pout, FLOAT w, FLOAT h, FLOAT zn, FLOAT zf)
{
D3DXMatrixIdentity(pout);
pout->u.m[0][0] = 2.0f * zn / w;
pout->u.m[1][1] = 2.0f * zn / h;
pout->u.m[2][2] = zf / (zn - zf);
pout->u.m[3][2] = (zn * zf) / (zn - zf);
pout->u.m[2][3] = -1.0f;
pout->u.m[3][3] = 0.0f;
return pout;
}
D3DXMATRIX* WINAPI D3DXMatrixReflect(D3DXMATRIX *pout, CONST D3DXPLANE *pplane)
{
D3DXPLANE Nplane;
D3DXPlaneNormalize(&Nplane, pplane);
D3DXMatrixIdentity(pout);
pout->u.m[0][0] = 1.0f - 2.0f * Nplane.a * Nplane.a;
pout->u.m[0][1] = -2.0f * Nplane.a * Nplane.b;
pout->u.m[0][2] = -2.0f * Nplane.a * Nplane.c;
pout->u.m[1][0] = -2.0f * Nplane.a * Nplane.b;
pout->u.m[1][1] = 1.0f - 2.0f * Nplane.b * Nplane.b;
pout->u.m[1][2] = -2.0f * Nplane.b * Nplane.c;
pout->u.m[2][0] = -2.0f * Nplane.c * Nplane.a;
pout->u.m[2][1] = -2.0f * Nplane.c * Nplane.b;
pout->u.m[2][2] = 1.0f - 2.0f * Nplane.c * Nplane.c;
pout->u.m[3][0] = -2.0f * Nplane.d * Nplane.a;
pout->u.m[3][1] = -2.0f * Nplane.d * Nplane.b;
pout->u.m[3][2] = -2.0f * Nplane.d * Nplane.c;
return pout;
}
D3DXMATRIX* WINAPI D3DXMatrixRotationAxis(D3DXMATRIX *pout, CONST D3DXVECTOR3 *pv, FLOAT angle)
{
D3DXVECTOR3 v;
D3DXVec3Normalize(&v,pv);
D3DXMatrixIdentity(pout);
pout->u.m[0][0] = (1.0f - cos(angle)) * v.x * v.x + cos(angle);
pout->u.m[1][0] = (1.0f - cos(angle)) * v.x * v.y - sin(angle) * v.z;
pout->u.m[2][0] = (1.0f - cos(angle)) * v.x * v.z + sin(angle) * v.y;
pout->u.m[0][1] = (1.0f - cos(angle)) * v.y * v.x + sin(angle) * v.z;
pout->u.m[1][1] = (1.0f - cos(angle)) * v.y * v.y + cos(angle);
pout->u.m[2][1] = (1.0f - cos(angle)) * v.y * v.z - sin(angle) * v.x;
pout->u.m[0][2] = (1.0f - cos(angle)) * v.z * v.x - sin(angle) * v.y;
pout->u.m[1][2] = (1.0f - cos(angle)) * v.z * v.y + sin(angle) * v.x;
pout->u.m[2][2] = (1.0f - cos(angle)) * v.z * v.z + cos(angle);
return pout;
}
D3DXMATRIX* WINAPI D3DXMatrixRotationQuaternion(D3DXMATRIX *pout, CONST D3DXQUATERNION *pq)
{
D3DXMatrixIdentity(pout);
pout->u.m[0][0] = 1.0f - 2.0f * (pq->y * pq->y + pq->z * pq->z);
pout->u.m[0][1] = 2.0f * (pq->x *pq->y + pq->z * pq->w);
pout->u.m[0][2] = 2.0f * (pq->x * pq->z - pq->y * pq->w);
pout->u.m[1][0] = 2.0f * (pq->x * pq->y - pq->z * pq->w);
pout->u.m[1][1] = 1.0f - 2.0f * (pq->x * pq->x + pq->z * pq->z);
pout->u.m[1][2] = 2.0f * (pq->y *pq->z + pq->x *pq->w);
pout->u.m[2][0] = 2.0f * (pq->x * pq->z + pq->y * pq->w);
pout->u.m[2][1] = 2.0f * (pq->y *pq->z - pq->x *pq->w);
pout->u.m[2][2] = 1.0f - 2.0f * (pq->x * pq->x + pq->y * pq->y);
return pout;
}
D3DXMATRIX* WINAPI D3DXMatrixRotationX(D3DXMATRIX *pout, FLOAT angle)
{
D3DXMatrixIdentity(pout);
pout->u.m[1][1] = cos(angle);
pout->u.m[2][2] = cos(angle);
pout->u.m[1][2] = sin(angle);
pout->u.m[2][1] = -sin(angle);
return pout;
}
D3DXMATRIX* WINAPI D3DXMatrixRotationY(D3DXMATRIX *pout, FLOAT angle)
{
D3DXMatrixIdentity(pout);
pout->u.m[0][0] = cos(angle);
pout->u.m[2][2] = cos(angle);
pout->u.m[0][2] = -sin(angle);
pout->u.m[2][0] = sin(angle);
return pout;
}
D3DXMATRIX* WINAPI D3DXMatrixRotationYawPitchRoll(D3DXMATRIX *pout, FLOAT yaw, FLOAT pitch, FLOAT roll)
{
D3DXMATRIX m, pout1, pout2, pout3;
D3DXMatrixIdentity(&pout3);
D3DXMatrixRotationZ(&m,roll);
D3DXMatrixMultiply(&pout2,&pout3,&m);
D3DXMatrixRotationX(&m,pitch);
D3DXMatrixMultiply(&pout1,&pout2,&m);
D3DXMatrixRotationY(&m,yaw);
D3DXMatrixMultiply(pout,&pout1,&m);
return pout;
}
D3DXMATRIX* WINAPI D3DXMatrixRotationZ(D3DXMATRIX *pout, FLOAT angle)
{
D3DXMatrixIdentity(pout);
pout->u.m[0][0] = cos(angle);
pout->u.m[1][1] = cos(angle);
pout->u.m[0][1] = sin(angle);
pout->u.m[1][0] = -sin(angle);
return pout;
}
D3DXMATRIX* WINAPI D3DXMatrixScaling(D3DXMATRIX *pout, FLOAT sx, FLOAT sy, FLOAT sz)
{
D3DXMatrixIdentity(pout);
pout->u.m[0][0] = sx;
pout->u.m[1][1] = sy;
pout->u.m[2][2] = sz;
return pout;
}
D3DXMATRIX* WINAPI D3DXMatrixShadow(D3DXMATRIX *pout, CONST D3DXVECTOR4 *plight, CONST D3DXPLANE *pplane)
{
D3DXPLANE Nplane;
FLOAT dot;
D3DXPlaneNormalize(&Nplane, pplane);
dot = D3DXPlaneDot(&Nplane, plight);
pout->u.m[0][0] = dot - Nplane.a * plight->x;
pout->u.m[0][1] = -Nplane.a * plight->y;
pout->u.m[0][2] = -Nplane.a * plight->z;
pout->u.m[0][3] = -Nplane.a * plight->w;
pout->u.m[1][0] = -Nplane.b * plight->x;
pout->u.m[1][1] = dot - Nplane.b * plight->y;
pout->u.m[1][2] = -Nplane.b * plight->z;
pout->u.m[1][3] = -Nplane.b * plight->w;
pout->u.m[2][0] = -Nplane.c * plight->x;
pout->u.m[2][1] = -Nplane.c * plight->y;
pout->u.m[2][2] = dot - Nplane.c * plight->z;
pout->u.m[2][3] = -Nplane.c * plight->w;
pout->u.m[3][0] = -Nplane.d * plight->x;
pout->u.m[3][1] = -Nplane.d * plight->y;
pout->u.m[3][2] = -Nplane.d * plight->z;
pout->u.m[3][3] = dot - Nplane.d * plight->w;
return pout;
}
D3DXMATRIX* WINAPI D3DXMatrixTransformation(D3DXMATRIX *pout, CONST D3DXVECTOR3 *pscalingcenter, CONST D3DXQUATERNION *pscalingrotation, CONST D3DXVECTOR3 *pscaling, CONST D3DXVECTOR3 *protationcenter, CONST D3DXQUATERNION *protation, CONST D3DXVECTOR3 *ptranslation)
{
D3DXMATRIX m1, m2, m3, m4, m5, m6, m7, p1, p2, p3, p4, p5;
D3DXQUATERNION prc;
D3DXVECTOR3 psc, pt;
if ( !pscalingcenter )
{
psc.x = 0.0f;
psc.y = 0.0f;
psc.z = 0.0f;
}
else
{
psc.x = pscalingcenter->x;
psc.y = pscalingcenter->y;
psc.z = pscalingcenter->z;
}
if ( !protationcenter )
{
prc.x = 0.0f;
prc.y = 0.0f;
prc.z = 0.0f;
}
else
{
prc.x = protationcenter->x;
prc.y = protationcenter->y;
prc.z = protationcenter->z;
}
if ( !ptranslation )
{
pt.x = 0.0f;
pt.y = 0.0f;
pt.z = 0.0f;
}
else
{
pt.x = ptranslation->x;
pt.y = ptranslation->y;
pt.z = ptranslation->z;
}
D3DXMatrixTranslation(&m1, -psc.x, -psc.y, -psc.z);
if ( !pscalingrotation )
{
D3DXMatrixIdentity(&m2);
D3DXMatrixIdentity(&m4);
}
else
{
D3DXMatrixRotationQuaternion(&m4, pscalingrotation);
D3DXMatrixInverse(&m2, NULL, &m4);
}
if ( !pscaling )
{
D3DXMatrixIdentity(&m3);
}
else
{
D3DXMatrixScaling(&m3, pscaling->x, pscaling->y, pscaling->z);
}
if ( !protation )
{
D3DXMatrixIdentity(&m6);
}
else
{
D3DXMatrixRotationQuaternion(&m6, protation);
}
D3DXMatrixTranslation(&m5, psc.x - prc.x, psc.y - prc.y, psc.z - prc.z);
D3DXMatrixTranslation(&m7, prc.x + pt.x, prc.y + pt.y, prc.z + pt.z);
D3DXMatrixMultiply(&p1, &m1, &m2);
D3DXMatrixMultiply(&p2, &p1, &m3);
D3DXMatrixMultiply(&p3, &p2, &m4);
D3DXMatrixMultiply(&p4, &p3, &m5);
D3DXMatrixMultiply(&p5, &p4, &m6);
D3DXMatrixMultiply(pout, &p5, &m7);
return pout;
}
D3DXMATRIX* WINAPI D3DXMatrixTranslation(D3DXMATRIX *pout, FLOAT x, FLOAT y, FLOAT z)
{
D3DXMatrixIdentity(pout);
pout->u.m[3][0] = x;
pout->u.m[3][1] = y;
pout->u.m[3][2] = z;
return pout;
}
D3DXMATRIX* WINAPI D3DXMatrixTranspose(D3DXMATRIX *pout, CONST D3DXMATRIX *pm)
{
int i,j;
for (i=0; i<4; i++)
{
for (j=0; j<4; j++)
{
pout->u.m[i][j] = pm->u.m[j][i];
}
}
return pout;
}
/*_________________D3DXPLANE________________*/
D3DXPLANE* WINAPI D3DXPlaneFromPointNormal(D3DXPLANE *pout, CONST D3DXVECTOR3 *pvpoint, CONST D3DXVECTOR3 *pvnormal)
{
pout->a = pvnormal->x;
pout->b = pvnormal->y;
pout->c = pvnormal->z;
pout->d = -D3DXVec3Dot(pvpoint, pvnormal);
return pout;
}
D3DXPLANE* WINAPI D3DXPlaneFromPoints(D3DXPLANE *pout, CONST D3DXVECTOR3 *pv1, CONST D3DXVECTOR3 *pv2, CONST D3DXVECTOR3 *pv3)
{
D3DXVECTOR3 edge1, edge2, normal, Nnormal;
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;
}
D3DXVECTOR3* WINAPI D3DXPlaneIntersectLine(D3DXVECTOR3 *pout, CONST D3DXPLANE *pp, CONST D3DXVECTOR3 *pv1, CONST D3DXVECTOR3 *pv2)
{
D3DXVECTOR3 direction, normal;
FLOAT dot, temp;
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;
}
D3DXPLANE* WINAPI D3DXPlaneNormalize(D3DXPLANE *pout, CONST D3DXPLANE *pp)
{
FLOAT norm;
norm = sqrt(pp->a * pp->a + pp->b * pp->b + pp->c * pp->c);
if ( norm )
{
pout->a = pp->a / norm;
pout->b = pp->b / norm;
pout->c = pp->c / norm;
pout->d = pp->d / norm;
}
else
{
pout->a = 0.0f;
pout->b = 0.0f;
pout->c = 0.0f;
pout->d = 0.0f;
}
return pout;
}
D3DXPLANE* WINAPI D3DXPlaneTransform(D3DXPLANE *pout, CONST D3DXPLANE *pplane, CONST D3DXMATRIX *pm)
{
pout->a = pm->u.m[0][0] * pplane->a + pm->u.m[1][0] * pplane->b + pm->u.m[2][0] * pplane->c + pm->u.m[3][0] * pplane->d;
pout->b = pm->u.m[0][1] * pplane->a + pm->u.m[1][1] * pplane->b + pm->u.m[2][1] * pplane->c + pm->u.m[3][1] * pplane->d;
pout->c = pm->u.m[0][2] * pplane->a + pm->u.m[1][2] * pplane->b + pm->u.m[2][2] * pplane->c + pm->u.m[3][2] * pplane->d;
pout->d = pm->u.m[0][3] * pplane->a + pm->u.m[1][3] * pplane->b + pm->u.m[2][3] * pplane->c + pm->u.m[3][3] * pplane->d;
return pout;
}
/*_________________D3DXQUATERNION________________*/
D3DXQUATERNION* WINAPI D3DXQuaternionBaryCentric(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq1, CONST D3DXQUATERNION *pq2, CONST D3DXQUATERNION *pq3, FLOAT f, FLOAT g)
{
D3DXQUATERNION temp1, temp2;
D3DXQuaternionSlerp(pout, D3DXQuaternionSlerp(&temp1, pq1, pq2, f + g), D3DXQuaternionSlerp(&temp2, pq1, pq3, f+g), g / (f + g));
return pout;
}
D3DXQUATERNION* WINAPI D3DXQuaternionExp(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq)
{
FLOAT norm;
norm = sqrt(pq->x * pq->x + pq->y * pq->y + pq->z * pq->z);
if (norm )
{
pout->x = sin(norm) * pq->x / norm;
pout->y = sin(norm) * pq->y / norm;
pout->z = sin(norm) * pq->z / norm;
pout->w = cos(norm);
}
else
{
pout->x = 0.0f;
pout->y = 0.0f;
pout->z = 0.0f;
pout->w = 1.0f;
}
return pout;
}
D3DXQUATERNION* WINAPI D3DXQuaternionInverse(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq)
{
D3DXQUATERNION temp;
FLOAT norm;
temp.x = 0.0f;
temp.y = 0.0f;
temp.z = 0.0f;
temp.w = 0.0f;
norm = D3DXQuaternionLengthSq(pq);
if ( !norm )
{
pout->x = 0.0f;
pout->y = 0.0f;
pout->z = 0.0f;
pout->w = 0.0f;
}
else
{
D3DXQuaternionConjugate(&temp, pq);
pout->x = temp.x / norm;
pout->y = temp.y / norm;
pout->z = temp.z / norm;
pout->w = temp.w / norm;
}
return pout;
}
D3DXQUATERNION* WINAPI D3DXQuaternionLn(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq)
{
FLOAT norm, normvec, theta;
norm = D3DXQuaternionLengthSq(pq);
if ( norm > 1.0001f )
{
pout->x = pq->x;
pout->y = pq->y;
pout->z = pq->z;
pout->w = 0.0f;
}
else if( norm > 0.99999f)
{
normvec = sqrt( pq->x * pq->x + pq->y * pq->y + pq->z * pq->z );
theta = atan2(normvec, pq->w) / normvec;
pout->x = theta * pq->x;
pout->y = theta * pq->y;
pout->z = theta * pq->z;
pout->w = 0.0f;
}
else
{
FIXME("The quaternion (%f, %f, %f, %f) has a norm <1. This should not happen. Windows returns a result anyway. This case is not implemented yet.\n", pq->x, pq->y, pq->z, pq->w);
}
return pout;
}
D3DXQUATERNION* WINAPI D3DXQuaternionMultiply(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq1, CONST D3DXQUATERNION *pq2)
{
pout->x = pq2->w * pq1->x + pq2->x * pq1->w + pq2->y * pq1->z - pq2->z * pq1->y;
pout->y = pq2->w * pq1->y - pq2->x * pq1->z + pq2->y * pq1->w + pq2->z * pq1->x;
pout->z = pq2->w * pq1->z + pq2->x * pq1->y - pq2->y * pq1->x + pq2->z * pq1->w;
pout->w = pq2->w * pq1->w - pq2->x * pq1->x - pq2->y * pq1->y - pq2->z * pq1->z;
return pout;
}
D3DXQUATERNION* WINAPI D3DXQuaternionNormalize(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq)
{
FLOAT norm;
norm = D3DXQuaternionLength(pq);
if ( !norm )
{
pout->x = 0.0f;
pout->y = 0.0f;
pout->z = 0.0f;
pout->w = 0.0f;
}
else
{
pout->x = pq->x / norm;
pout->y = pq->y / norm;
pout->z = pq->z / norm;
pout->w = pq->w / norm;
}
return pout;
}
D3DXQUATERNION* WINAPI D3DXQuaternionRotationAxis(D3DXQUATERNION *pout, CONST D3DXVECTOR3 *pv, FLOAT angle)
{
D3DXVECTOR3 temp;
D3DXVec3Normalize(&temp, pv);
pout->x = sin( angle / 2.0f ) * temp.x;
pout->y = sin( angle / 2.0f ) * temp.y;
pout->z = sin( angle / 2.0f ) * temp.z;
pout->w = cos( angle / 2.0f );
return pout;
}
D3DXQUATERNION* WINAPI D3DXQuaternionRotationMatrix(D3DXQUATERNION *pout, CONST D3DXMATRIX *pm)
{
int i, maxi;
FLOAT maxdiag, S, trace;
trace = pm->u.m[0][0] + pm->u.m[1][1] + pm->u.m[2][2] + 1.0f;
if ( trace > 0.0f)
{
pout->x = ( pm->u.m[1][2] - pm->u.m[2][1] ) / ( 2.0f * sqrt(trace) );
pout->y = ( pm->u.m[2][0] - pm->u.m[0][2] ) / ( 2.0f * sqrt(trace) );
pout->z = ( pm->u.m[0][1] - pm->u.m[1][0] ) / ( 2.0f * sqrt(trace) );
pout->w = sqrt(trace) / 2.0f;
return pout;
}
maxi = 0;
maxdiag = pm->u.m[0][0];
for (i=1; i<3; i++)
{
if ( pm->u.m[i][i] > maxdiag )
{
maxi = i;
maxdiag = pm->u.m[i][i];
}
}
switch( maxi )
{
case 0:
S = 2.0f * sqrt(1.0f + pm->u.m[0][0] - pm->u.m[1][1] - pm->u.m[2][2]);
pout->x = 0.25f * S;
pout->y = ( pm->u.m[0][1] + pm->u.m[1][0] ) / S;
pout->z = ( pm->u.m[0][2] + pm->u.m[2][0] ) / S;
pout->w = ( pm->u.m[1][2] - pm->u.m[2][1] ) / S;
break;
case 1:
S = 2.0f * sqrt(1.0f + pm->u.m[1][1] - pm->u.m[0][0] - pm->u.m[2][2]);
pout->x = ( pm->u.m[0][1] + pm->u.m[1][0] ) / S;
pout->y = 0.25f * S;
pout->z = ( pm->u.m[1][2] + pm->u.m[2][1] ) / S;
pout->w = ( pm->u.m[2][0] - pm->u.m[0][2] ) / S;
break;
case 2:
S = 2.0f * sqrt(1.0f + pm->u.m[2][2] - pm->u.m[0][0] - pm->u.m[1][1]);
pout->x = ( pm->u.m[0][2] + pm->u.m[2][0] ) / S;
pout->y = ( pm->u.m[1][2] + pm->u.m[2][1] ) / S;
pout->z = 0.25f * S;
pout->w = ( pm->u.m[0][1] - pm->u.m[1][0] ) / S;
break;
}
return pout;
}
D3DXQUATERNION* WINAPI D3DXQuaternionRotationYawPitchRoll(D3DXQUATERNION *pout, FLOAT yaw, FLOAT pitch, FLOAT roll)
{
pout->x = sin( yaw / 2.0f) * cos(pitch / 2.0f) * sin(roll / 2.0f) + cos(yaw / 2.0f) * sin(pitch / 2.0f) * cos(roll / 2.0f);
pout->y = sin( yaw / 2.0f) * cos(pitch / 2.0f) * cos(roll / 2.0f) - cos(yaw / 2.0f) * sin(pitch / 2.0f) * sin(roll / 2.0f);
pout->z = cos(yaw / 2.0f) * cos(pitch / 2.0f) * sin(roll / 2.0f) - sin( yaw / 2.0f) * sin(pitch / 2.0f) * cos(roll / 2.0f);
pout->w = cos( yaw / 2.0f) * cos(pitch / 2.0f) * cos(roll / 2.0f) + sin(yaw / 2.0f) * sin(pitch / 2.0f) * sin(roll / 2.0f);
return pout;
}
D3DXQUATERNION* WINAPI D3DXQuaternionSlerp(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq1, CONST D3DXQUATERNION *pq2, FLOAT t)
{
FLOAT dot, epsilon;
epsilon = 1.0f;
dot = D3DXQuaternionDot(pq1, pq2);
if ( dot < 0.0f) epsilon = -1.0f;
pout->x = (1.0f - t) * pq1->x + epsilon * t * pq2->x;
pout->y = (1.0f - t) * pq1->y + epsilon * t * pq2->y;
pout->z = (1.0f - t) * pq1->z + epsilon * t * pq2->z;
pout->w = (1.0f - t) * pq1->w + epsilon * t * pq2->w;
return pout;
}
D3DXQUATERNION* WINAPI D3DXQuaternionSquad(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq1, CONST D3DXQUATERNION *pq2, CONST D3DXQUATERNION *pq3, CONST D3DXQUATERNION *pq4, FLOAT t)
{
D3DXQUATERNION temp1, temp2;
D3DXQuaternionSlerp(pout, D3DXQuaternionSlerp(&temp1, pq1, pq4, t), D3DXQuaternionSlerp(&temp2, pq2, pq3, t), 2.0f * t * (1.0f - t));
return pout;
}
void WINAPI D3DXQuaternionToAxisAngle(CONST D3DXQUATERNION *pq, D3DXVECTOR3 *paxis, FLOAT *pangle)
{
FLOAT norm;
*pangle = 0.0f;
norm = D3DXQuaternionLength(pq);
if ( norm )
{
paxis->x = pq->x / norm;
paxis->y = pq->y / norm;
paxis->z = pq->z / norm;
if ( fabs( pq->w ) <= 1.0f ) *pangle = 2.0f * acos(pq->w);
}
else
{
paxis->x = 1.0f;
paxis->y = 0.0f;
paxis->z = 0.0f;
}
}
/*_________________D3DXVec2_____________________*/
D3DXVECTOR2* WINAPI D3DXVec2BaryCentric(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv1, CONST D3DXVECTOR2 *pv2, CONST D3DXVECTOR2 *pv3, FLOAT f, FLOAT 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;
}
D3DXVECTOR2* WINAPI D3DXVec2CatmullRom(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv0, CONST D3DXVECTOR2 *pv1, CONST D3DXVECTOR2 *pv2, CONST D3DXVECTOR2 *pv3, FLOAT 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;
}
D3DXVECTOR2* WINAPI D3DXVec2Hermite(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv1, CONST D3DXVECTOR2 *pt1, CONST D3DXVECTOR2 *pv2, CONST D3DXVECTOR2 *pt2, FLOAT s)
{
FLOAT h1, h2, h3, h4;
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;
}
D3DXVECTOR2* WINAPI D3DXVec2Normalize(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv)
{
FLOAT norm;
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;
}
D3DXVECTOR4* WINAPI D3DXVec2Transform(D3DXVECTOR4 *pout, CONST D3DXVECTOR2 *pv, CONST D3DXMATRIX *pm)
{
pout->x = pm->u.m[0][0] * pv->x + pm->u.m[1][0] * pv->y + pm->u.m[3][0];
pout->y = pm->u.m[0][1] * pv->x + pm->u.m[1][1] * pv->y + pm->u.m[3][1];
pout->z = pm->u.m[0][2] * pv->x + pm->u.m[1][2] * pv->y + pm->u.m[3][2];
pout->w = pm->u.m[0][3] * pv->x + pm->u.m[1][3] * pv->y + pm->u.m[3][3];
return pout;
}
D3DXVECTOR2* WINAPI D3DXVec2TransformCoord(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv, CONST D3DXMATRIX *pm)
{
FLOAT norm;
norm = pm->u.m[0][3] * pv->x + pm->u.m[1][3] * pv->y + pm->u.m[3][3];
if ( norm )
{
pout->x = (pm->u.m[0][0] * pv->x + pm->u.m[1][0] * pv->y + pm->u.m[3][0]) / norm;
pout->y = (pm->u.m[0][1] * pv->x + pm->u.m[1][1] * pv->y + pm->u.m[3][1]) / norm;
}
else
{
pout->x = 0.0f;
pout->y = 0.0f;
}
return pout;
}
D3DXVECTOR2* WINAPI D3DXVec2TransformNormal(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv, CONST D3DXMATRIX *pm)
{
pout->x = pm->u.m[0][0] * pv->x + pm->u.m[1][0] * pv->y;
pout->y = pm->u.m[0][1] * pv->x + pm->u.m[1][1] * pv->y;
return pout;
}
/*_________________D3DXVec3_____________________*/
D3DXVECTOR3* WINAPI D3DXVec3BaryCentric(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv1, CONST D3DXVECTOR3 *pv2, CONST D3DXVECTOR3 *pv3, FLOAT f, FLOAT 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;
}
D3DXVECTOR3* WINAPI D3DXVec3CatmullRom( D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv0, CONST D3DXVECTOR3 *pv1, CONST D3DXVECTOR3 *pv2, CONST D3DXVECTOR3 *pv3, FLOAT 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;
}
D3DXVECTOR3* WINAPI D3DXVec3Hermite(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv1, CONST D3DXVECTOR3 *pt1, CONST D3DXVECTOR3 *pv2, CONST D3DXVECTOR3 *pt2, FLOAT s)
{
FLOAT h1, h2, h3, h4;
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;
}
D3DXVECTOR3* WINAPI D3DXVec3Normalize(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv)
{
FLOAT norm;
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;
}
D3DXVECTOR3* WINAPI D3DXVec3Project(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv, CONST D3DVIEWPORT8 *pviewport, CONST D3DXMATRIX *pprojection, CONST D3DXMATRIX *pview, CONST D3DXMATRIX *pworld)
{
D3DXMATRIX m1, m2;
D3DXVECTOR3 vec;
D3DXMatrixMultiply(&m1, pworld, pview);
D3DXMatrixMultiply(&m2, &m1, pprojection);
D3DXVec3TransformCoord(&vec, pv, &m2);
pout->x = pviewport->X + ( 1.0f + vec.x ) * pviewport->Width / 2.0f;
pout->y = pviewport->Y + ( 1.0f - vec.y ) * pviewport->Height / 2.0f;
pout->z = pviewport->MinZ + vec.z * ( pviewport->MaxZ - pviewport->MinZ );
return pout;
}
D3DXVECTOR4* WINAPI D3DXVec3Transform(D3DXVECTOR4 *pout, CONST D3DXVECTOR3 *pv, CONST D3DXMATRIX *pm)
{
pout->x = pm->u.m[0][0] * pv->x + pm->u.m[1][0] * pv->y + pm->u.m[2][0] * pv->z + pm->u.m[3][0];
pout->y = pm->u.m[0][1] * pv->x + pm->u.m[1][1] * pv->y + pm->u.m[2][1] * pv->z + pm->u.m[3][1];
pout->z = pm->u.m[0][2] * pv->x + pm->u.m[1][2] * pv->y + pm->u.m[2][2] * pv->z + pm->u.m[3][2];
pout->w = pm->u.m[0][3] * pv->x + pm->u.m[1][3] * pv->y + pm->u.m[2][3] * pv->z + pm->u.m[3][3];
return pout;
}
D3DXVECTOR3* WINAPI D3DXVec3TransformCoord(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv, CONST D3DXMATRIX *pm)
{
FLOAT norm;
norm = pm->u.m[0][3] * pv->x + pm->u.m[1][3] * pv->y + pm->u.m[2][3] *pv->z + pm->u.m[3][3];
if ( norm )
{
pout->x = (pm->u.m[0][0] * pv->x + pm->u.m[1][0] * pv->y + pm->u.m[2][0] * pv->z + pm->u.m[3][0]) / norm;
pout->y = (pm->u.m[0][1] * pv->x + pm->u.m[1][1] * pv->y + pm->u.m[2][1] * pv->z + pm->u.m[3][1]) / norm;
pout->z = (pm->u.m[0][2] * pv->x + pm->u.m[1][2] * pv->y + pm->u.m[2][2] * pv->z + pm->u.m[3][2]) / norm;
}
else
{
pout->x = 0.0f;
pout->y = 0.0f;
pout->z = 0.0f;
}
return pout;
}
D3DXVECTOR3* WINAPI D3DXVec3TransformNormal(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv, CONST D3DXMATRIX *pm)
{
pout->x = pm->u.m[0][0] * pv->x + pm->u.m[1][0] * pv->y + pm->u.m[2][0] * pv->z;
pout->y = pm->u.m[0][1] * pv->x + pm->u.m[1][1] * pv->y + pm->u.m[2][1] * pv->z;
pout->z = pm->u.m[0][2] * pv->x + pm->u.m[1][2] * pv->y + pm->u.m[2][2] * pv->z;
return pout;
}
D3DXVECTOR3* WINAPI D3DXVec3Unproject(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv, CONST D3DVIEWPORT8 *pviewport, CONST D3DXMATRIX *pprojection, CONST D3DXMATRIX *pview, CONST D3DXMATRIX *pworld)
{
D3DXMATRIX m1, m2, m3;
D3DXVECTOR3 vec;
D3DXMatrixMultiply(&m1, pworld, pview);
D3DXMatrixMultiply(&m2, &m1, pprojection);
D3DXMatrixInverse(&m3, NULL, &m2);
vec.x = 2.0f * ( pv->x - pviewport->X ) / pviewport->Width - 1.0f;
vec.y = 1.0f - 2.0f * ( pv->y - pviewport->Y ) / pviewport->Height;
vec.z = ( pv->z - pviewport->MinZ) / ( pviewport->MaxZ - pviewport->MinZ );
D3DXVec3TransformCoord(pout, &vec, &m3);
return pout;
}
/*_________________D3DXVec4_____________________*/
D3DXVECTOR4* WINAPI D3DXVec4BaryCentric(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv1, CONST D3DXVECTOR4 *pv2, CONST D3DXVECTOR4 *pv3, FLOAT f, FLOAT 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;
}
D3DXVECTOR4* WINAPI D3DXVec4CatmullRom(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv0, CONST D3DXVECTOR4 *pv1, CONST D3DXVECTOR4 *pv2, CONST D3DXVECTOR4 *pv3, FLOAT 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;
}
D3DXVECTOR4* WINAPI D3DXVec4Cross(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv1, CONST D3DXVECTOR4 *pv2, CONST D3DXVECTOR4 *pv3)
{
pout->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);
pout->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));
pout->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);
pout->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));
return pout;
}
D3DXVECTOR4* WINAPI D3DXVec4Hermite(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv1, CONST D3DXVECTOR4 *pt1, CONST D3DXVECTOR4 *pv2, CONST D3DXVECTOR4 *pt2, FLOAT s)
{
FLOAT h1, h2, h3, h4;
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;
}
D3DXVECTOR4* WINAPI D3DXVec4Normalize(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv)
{
FLOAT norm;
norm = D3DXVec4Length(pv);
if ( !norm )
{
pout->x = 0.0f;
pout->y = 0.0f;
pout->z = 0.0f;
pout->w = 0.0f;
}
else
{
pout->x = pv->x / norm;
pout->y = pv->y / norm;
pout->z = pv->z / norm;
pout->w = pv->w / norm;
}
return pout;
}
D3DXVECTOR4* WINAPI D3DXVec4Transform(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv, CONST D3DXMATRIX *pm)
{
pout->x = pm->u.m[0][0] * pv->x + pm->u.m[1][0] * pv->y + pm->u.m[2][0] * pv->z + pm->u.m[3][0] * pv->w;
pout->y = pm->u.m[0][1] * pv->x + pm->u.m[1][1] * pv->y + pm->u.m[2][1] * pv->z + pm->u.m[3][1] * pv->w;
pout->z = pm->u.m[0][2] * pv->x + pm->u.m[1][2] * pv->y + pm->u.m[2][2] * pv->z + pm->u.m[3][2] * pv->w;
pout->w = pm->u.m[0][3] * pv->x + pm->u.m[1][3] * pv->y + pm->u.m[2][3] * pv->z + pm->u.m[3][3] * pv->w;
return pout;
}
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