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3160 lines
103 KiB
C
3160 lines
103 KiB
C
/*
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* Mathematical operations specific to D3DX9.
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*
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* Copyright (C) 2008 David Adam
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* Copyright (C) 2008 Luis Busquets
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* Copyright (C) 2008 Jérôme Gardou
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* Copyright (C) 2008 Philip Nilsson
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* Copyright (C) 2008 Henri Verbeet
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*
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* This library is free software; you can redistribute it and/or
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* modify it under the terms of the GNU Lesser General Public
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* License as published by the Free Software Foundation; either
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* version 2.1 of the License, or (at your option) any later version.
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*
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* This library is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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* Lesser General Public License for more details.
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*
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* You should have received a copy of the GNU Lesser General Public
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* License along with this library; if not, write to the Free Software
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* Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA
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*/
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#define NONAMELESSUNION
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#include "config.h"
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#include "wine/port.h"
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#include "windef.h"
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#include "wingdi.h"
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#include "d3dx9_36_private.h"
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#include "wine/debug.h"
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WINE_DEFAULT_DEBUG_CHANNEL(d3dx);
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static const ID3DXMatrixStackVtbl ID3DXMatrixStack_Vtbl;
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struct ID3DXMatrixStackImpl
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{
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ID3DXMatrixStack ID3DXMatrixStack_iface;
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LONG ref;
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unsigned int current;
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unsigned int stack_size;
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D3DXMATRIX *stack;
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};
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/*_________________D3DXColor____________________*/
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D3DXCOLOR* WINAPI D3DXColorAdjustContrast(D3DXCOLOR *pout, const D3DXCOLOR *pc, FLOAT s)
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{
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TRACE("pout %p, pc %p, s %f\n", pout, pc, s);
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pout->r = 0.5f + s * (pc->r - 0.5f);
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pout->g = 0.5f + s * (pc->g - 0.5f);
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pout->b = 0.5f + s * (pc->b - 0.5f);
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pout->a = pc->a;
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return pout;
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}
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D3DXCOLOR* WINAPI D3DXColorAdjustSaturation(D3DXCOLOR *pout, const D3DXCOLOR *pc, FLOAT s)
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{
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FLOAT grey;
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TRACE("pout %p, pc %p, s %f\n", pout, pc, s);
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grey = pc->r * 0.2125f + pc->g * 0.7154f + pc->b * 0.0721f;
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pout->r = grey + s * (pc->r - grey);
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pout->g = grey + s * (pc->g - grey);
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pout->b = grey + s * (pc->b - grey);
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pout->a = pc->a;
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return pout;
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}
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/*_________________Misc__________________________*/
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FLOAT WINAPI D3DXFresnelTerm(FLOAT costheta, FLOAT refractionindex)
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{
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FLOAT a, d, g, result;
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TRACE("costheta %f, refractionindex %f\n", costheta, refractionindex);
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g = sqrtf(refractionindex * refractionindex + costheta * costheta - 1.0f);
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a = g + costheta;
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d = g - costheta;
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result = (costheta * a - 1.0f) * (costheta * a - 1.0f) / ((costheta * d + 1.0f) * (costheta * d + 1.0f)) + 1.0f;
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result *= 0.5f * d * d / (a * a);
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return result;
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}
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/*_________________D3DXMatrix____________________*/
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D3DXMATRIX * WINAPI D3DXMatrixAffineTransformation(D3DXMATRIX *out, FLOAT scaling, const D3DXVECTOR3 *rotationcenter,
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const D3DXQUATERNION *rotation, const D3DXVECTOR3 *translation)
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{
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TRACE("out %p, scaling %f, rotationcenter %p, rotation %p, translation %p\n",
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out, scaling, rotationcenter, rotation, translation);
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D3DXMatrixIdentity(out);
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if (rotationcenter)
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{
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out->u.m[3][0] = -rotationcenter->x;
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out->u.m[3][1] = -rotationcenter->y;
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out->u.m[3][2] = -rotationcenter->z;
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}
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if (rotation)
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{
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FLOAT temp00, temp01, temp02, temp10, temp11, temp12, temp20, temp21, temp22;
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temp00 = 1.0f - 2.0f * (rotation->y * rotation->y + rotation->z * rotation->z);
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temp01 = 2.0f * (rotation->x * rotation->y + rotation->z * rotation->w);
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temp02 = 2.0f * (rotation->x * rotation->z - rotation->y * rotation->w);
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temp10 = 2.0f * (rotation->x * rotation->y - rotation->z * rotation->w);
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temp11 = 1.0f - 2.0f * (rotation->x * rotation->x + rotation->z * rotation->z);
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temp12 = 2.0f * (rotation->y * rotation->z + rotation->x * rotation->w);
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temp20 = 2.0f * (rotation->x * rotation->z + rotation->y * rotation->w);
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temp21 = 2.0f * (rotation->y * rotation->z - rotation->x * rotation->w);
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temp22 = 1.0f - 2.0f * (rotation->x * rotation->x + rotation->y * rotation->y);
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out->u.m[0][0] = scaling * temp00;
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out->u.m[0][1] = scaling * temp01;
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out->u.m[0][2] = scaling * temp02;
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out->u.m[1][0] = scaling * temp10;
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out->u.m[1][1] = scaling * temp11;
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out->u.m[1][2] = scaling * temp12;
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out->u.m[2][0] = scaling * temp20;
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out->u.m[2][1] = scaling * temp21;
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out->u.m[2][2] = scaling * temp22;
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if (rotationcenter)
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{
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FLOAT x, y, z;
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x = out->u.m[3][0];
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y = out->u.m[3][1];
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z = out->u.m[3][2];
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out->u.m[3][0] = x * temp00 + y * temp10 + z * temp20;
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out->u.m[3][1] = x * temp01 + y * temp11 + z * temp21;
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out->u.m[3][2] = x * temp02 + y * temp12 + z * temp22;
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}
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}
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else
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{
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out->u.m[0][0] = scaling;
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out->u.m[1][1] = scaling;
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out->u.m[2][2] = scaling;
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}
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if (rotationcenter)
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{
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out->u.m[3][0] += rotationcenter->x;
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out->u.m[3][1] += rotationcenter->y;
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out->u.m[3][2] += rotationcenter->z;
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}
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if (translation)
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{
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out->u.m[3][0] += translation->x;
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out->u.m[3][1] += translation->y;
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out->u.m[3][2] += translation->z;
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}
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return out;
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}
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D3DXMATRIX * WINAPI D3DXMatrixAffineTransformation2D(D3DXMATRIX *out, FLOAT scaling,
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const D3DXVECTOR2 *rotationcenter, FLOAT rotation, const D3DXVECTOR2 *translation)
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{
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FLOAT tmp1, tmp2, s;
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TRACE("out %p, scaling %f, rotationcenter %p, rotation %f, translation %p\n",
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out, scaling, rotationcenter, rotation, translation);
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s = sinf(rotation / 2.0f);
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tmp1 = 1.0f - 2.0f * s * s;
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tmp2 = 2.0 * s * cosf(rotation / 2.0f);
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D3DXMatrixIdentity(out);
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out->u.m[0][0] = scaling * tmp1;
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out->u.m[0][1] = scaling * tmp2;
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out->u.m[1][0] = -scaling * tmp2;
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out->u.m[1][1] = scaling * tmp1;
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if (rotationcenter)
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{
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FLOAT x, y;
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x = rotationcenter->x;
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y = rotationcenter->y;
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out->u.m[3][0] = y * tmp2 - x * tmp1 + x;
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out->u.m[3][1] = -x * tmp2 - y * tmp1 + y;
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}
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if (translation)
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{
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out->u.m[3][0] += translation->x;
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out->u.m[3][1] += translation->y;
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}
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return out;
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}
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HRESULT WINAPI D3DXMatrixDecompose(D3DXVECTOR3 *poutscale, D3DXQUATERNION *poutrotation, D3DXVECTOR3 *pouttranslation, const D3DXMATRIX *pm)
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{
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D3DXMATRIX normalized;
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D3DXVECTOR3 vec;
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TRACE("poutscale %p, poutrotation %p, pouttranslation %p, pm %p\n", poutscale, poutrotation, pouttranslation, pm);
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/*Compute the scaling part.*/
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vec.x=pm->u.m[0][0];
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vec.y=pm->u.m[0][1];
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vec.z=pm->u.m[0][2];
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poutscale->x=D3DXVec3Length(&vec);
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vec.x=pm->u.m[1][0];
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vec.y=pm->u.m[1][1];
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vec.z=pm->u.m[1][2];
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poutscale->y=D3DXVec3Length(&vec);
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vec.x=pm->u.m[2][0];
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vec.y=pm->u.m[2][1];
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vec.z=pm->u.m[2][2];
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poutscale->z=D3DXVec3Length(&vec);
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/*Compute the translation part.*/
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pouttranslation->x=pm->u.m[3][0];
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pouttranslation->y=pm->u.m[3][1];
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pouttranslation->z=pm->u.m[3][2];
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/*Let's calculate the rotation now*/
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if ( (poutscale->x == 0.0f) || (poutscale->y == 0.0f) || (poutscale->z == 0.0f) ) return D3DERR_INVALIDCALL;
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normalized.u.m[0][0]=pm->u.m[0][0]/poutscale->x;
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normalized.u.m[0][1]=pm->u.m[0][1]/poutscale->x;
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normalized.u.m[0][2]=pm->u.m[0][2]/poutscale->x;
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normalized.u.m[1][0]=pm->u.m[1][0]/poutscale->y;
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normalized.u.m[1][1]=pm->u.m[1][1]/poutscale->y;
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normalized.u.m[1][2]=pm->u.m[1][2]/poutscale->y;
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normalized.u.m[2][0]=pm->u.m[2][0]/poutscale->z;
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normalized.u.m[2][1]=pm->u.m[2][1]/poutscale->z;
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normalized.u.m[2][2]=pm->u.m[2][2]/poutscale->z;
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D3DXQuaternionRotationMatrix(poutrotation,&normalized);
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return S_OK;
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}
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FLOAT WINAPI D3DXMatrixDeterminant(const D3DXMATRIX *pm)
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{
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FLOAT t[3], v[4];
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TRACE("pm %p\n", pm);
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t[0] = pm->u.m[2][2] * pm->u.m[3][3] - pm->u.m[2][3] * pm->u.m[3][2];
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t[1] = pm->u.m[1][2] * pm->u.m[3][3] - pm->u.m[1][3] * pm->u.m[3][2];
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t[2] = pm->u.m[1][2] * pm->u.m[2][3] - pm->u.m[1][3] * pm->u.m[2][2];
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v[0] = pm->u.m[1][1] * t[0] - pm->u.m[2][1] * t[1] + pm->u.m[3][1] * t[2];
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v[1] = -pm->u.m[1][0] * t[0] + pm->u.m[2][0] * t[1] - pm->u.m[3][0] * t[2];
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t[0] = pm->u.m[1][0] * pm->u.m[2][1] - pm->u.m[2][0] * pm->u.m[1][1];
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t[1] = pm->u.m[1][0] * pm->u.m[3][1] - pm->u.m[3][0] * pm->u.m[1][1];
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t[2] = pm->u.m[2][0] * pm->u.m[3][1] - pm->u.m[3][0] * pm->u.m[2][1];
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v[2] = pm->u.m[3][3] * t[0] - pm->u.m[2][3] * t[1] + pm->u.m[1][3] * t[2];
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v[3] = -pm->u.m[3][2] * t[0] + pm->u.m[2][2] * t[1] - pm->u.m[1][2] * t[2];
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return pm->u.m[0][0] * v[0] + pm->u.m[0][1] * v[1] +
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pm->u.m[0][2] * v[2] + pm->u.m[0][3] * v[3];
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}
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D3DXMATRIX* WINAPI D3DXMatrixInverse(D3DXMATRIX *pout, FLOAT *pdeterminant, const D3DXMATRIX *pm)
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{
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FLOAT det, t[3], v[16];
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UINT i, j;
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TRACE("pout %p, pdeterminant %p, pm %p\n", pout, pdeterminant, pm);
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t[0] = pm->u.m[2][2] * pm->u.m[3][3] - pm->u.m[2][3] * pm->u.m[3][2];
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t[1] = pm->u.m[1][2] * pm->u.m[3][3] - pm->u.m[1][3] * pm->u.m[3][2];
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t[2] = pm->u.m[1][2] * pm->u.m[2][3] - pm->u.m[1][3] * pm->u.m[2][2];
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v[0] = pm->u.m[1][1] * t[0] - pm->u.m[2][1] * t[1] + pm->u.m[3][1] * t[2];
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v[4] = -pm->u.m[1][0] * t[0] + pm->u.m[2][0] * t[1] - pm->u.m[3][0] * t[2];
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t[0] = pm->u.m[1][0] * pm->u.m[2][1] - pm->u.m[2][0] * pm->u.m[1][1];
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t[1] = pm->u.m[1][0] * pm->u.m[3][1] - pm->u.m[3][0] * pm->u.m[1][1];
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t[2] = pm->u.m[2][0] * pm->u.m[3][1] - pm->u.m[3][0] * pm->u.m[2][1];
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v[8] = pm->u.m[3][3] * t[0] - pm->u.m[2][3] * t[1] + pm->u.m[1][3] * t[2];
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v[12] = -pm->u.m[3][2] * t[0] + pm->u.m[2][2] * t[1] - pm->u.m[1][2] * t[2];
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det = pm->u.m[0][0] * v[0] + pm->u.m[0][1] * v[4] +
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pm->u.m[0][2] * v[8] + pm->u.m[0][3] * v[12];
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if (det == 0.0f)
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return NULL;
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if (pdeterminant)
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*pdeterminant = det;
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t[0] = pm->u.m[2][2] * pm->u.m[3][3] - pm->u.m[2][3] * pm->u.m[3][2];
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t[1] = pm->u.m[0][2] * pm->u.m[3][3] - pm->u.m[0][3] * pm->u.m[3][2];
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t[2] = pm->u.m[0][2] * pm->u.m[2][3] - pm->u.m[0][3] * pm->u.m[2][2];
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v[1] = -pm->u.m[0][1] * t[0] + pm->u.m[2][1] * t[1] - pm->u.m[3][1] * t[2];
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v[5] = pm->u.m[0][0] * t[0] - pm->u.m[2][0] * t[1] + pm->u.m[3][0] * t[2];
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t[0] = pm->u.m[0][0] * pm->u.m[2][1] - pm->u.m[2][0] * pm->u.m[0][1];
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t[1] = pm->u.m[3][0] * pm->u.m[0][1] - pm->u.m[0][0] * pm->u.m[3][1];
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t[2] = pm->u.m[2][0] * pm->u.m[3][1] - pm->u.m[3][0] * pm->u.m[2][1];
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v[9] = -pm->u.m[3][3] * t[0] - pm->u.m[2][3] * t[1]- pm->u.m[0][3] * t[2];
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v[13] = pm->u.m[3][2] * t[0] + pm->u.m[2][2] * t[1] + pm->u.m[0][2] * t[2];
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t[0] = pm->u.m[1][2] * pm->u.m[3][3] - pm->u.m[1][3] * pm->u.m[3][2];
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t[1] = pm->u.m[0][2] * pm->u.m[3][3] - pm->u.m[0][3] * pm->u.m[3][2];
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t[2] = pm->u.m[0][2] * pm->u.m[1][3] - pm->u.m[0][3] * pm->u.m[1][2];
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v[2] = pm->u.m[0][1] * t[0] - pm->u.m[1][1] * t[1] + pm->u.m[3][1] * t[2];
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v[6] = -pm->u.m[0][0] * t[0] + pm->u.m[1][0] * t[1] - pm->u.m[3][0] * t[2];
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t[0] = pm->u.m[0][0] * pm->u.m[1][1] - pm->u.m[1][0] * pm->u.m[0][1];
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t[1] = pm->u.m[3][0] * pm->u.m[0][1] - pm->u.m[0][0] * pm->u.m[3][1];
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t[2] = pm->u.m[1][0] * pm->u.m[3][1] - pm->u.m[3][0] * pm->u.m[1][1];
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v[10] = pm->u.m[3][3] * t[0] + pm->u.m[1][3] * t[1] + pm->u.m[0][3] * t[2];
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v[14] = -pm->u.m[3][2] * t[0] - pm->u.m[1][2] * t[1] - pm->u.m[0][2] * t[2];
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t[0] = pm->u.m[1][2] * pm->u.m[2][3] - pm->u.m[1][3] * pm->u.m[2][2];
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t[1] = pm->u.m[0][2] * pm->u.m[2][3] - pm->u.m[0][3] * pm->u.m[2][2];
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t[2] = pm->u.m[0][2] * pm->u.m[1][3] - pm->u.m[0][3] * pm->u.m[1][2];
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v[3] = -pm->u.m[0][1] * t[0] + pm->u.m[1][1] * t[1] - pm->u.m[2][1] * t[2];
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v[7] = pm->u.m[0][0] * t[0] - pm->u.m[1][0] * t[1] + pm->u.m[2][0] * t[2];
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v[11] = -pm->u.m[0][0] * (pm->u.m[1][1] * pm->u.m[2][3] - pm->u.m[1][3] * pm->u.m[2][1]) +
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pm->u.m[1][0] * (pm->u.m[0][1] * pm->u.m[2][3] - pm->u.m[0][3] * pm->u.m[2][1]) -
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pm->u.m[2][0] * (pm->u.m[0][1] * pm->u.m[1][3] - pm->u.m[0][3] * pm->u.m[1][1]);
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v[15] = pm->u.m[0][0] * (pm->u.m[1][1] * pm->u.m[2][2] - pm->u.m[1][2] * pm->u.m[2][1]) -
|
|
pm->u.m[1][0] * (pm->u.m[0][1] * pm->u.m[2][2] - pm->u.m[0][2] * pm->u.m[2][1]) +
|
|
pm->u.m[2][0] * (pm->u.m[0][1] * pm->u.m[1][2] - pm->u.m[0][2] * pm->u.m[1][1]);
|
|
|
|
det = 1.0f / det;
|
|
|
|
for (i = 0; i < 4; i++)
|
|
for (j = 0; j < 4; j++)
|
|
pout->u.m[i][j] = v[4 * i + j] * det;
|
|
|
|
return pout;
|
|
}
|
|
|
|
D3DXMATRIX* WINAPI D3DXMatrixLookAtLH(D3DXMATRIX *pout, const D3DXVECTOR3 *peye, const D3DXVECTOR3 *pat, const D3DXVECTOR3 *pup)
|
|
{
|
|
D3DXVECTOR3 right, rightn, up, upn, vec, vec2;
|
|
|
|
TRACE("pout %p, peye %p, pat %p, pup %p\n", pout, peye, pat, pup);
|
|
|
|
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;
|
|
|
|
TRACE("pout %p, peye %p, pat %p, pup %p\n", pout, peye, pat, pup);
|
|
|
|
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)
|
|
{
|
|
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.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];
|
|
}
|
|
}
|
|
|
|
*pout = out;
|
|
return pout;
|
|
}
|
|
|
|
D3DXMATRIX* WINAPI D3DXMatrixMultiplyTranspose(D3DXMATRIX *pout, const D3DXMATRIX *pm1, const D3DXMATRIX *pm2)
|
|
{
|
|
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.u.m[j][i] = 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];
|
|
|
|
*pout = temp;
|
|
return pout;
|
|
}
|
|
|
|
D3DXMATRIX* WINAPI D3DXMatrixOrthoLH(D3DXMATRIX *pout, FLOAT w, FLOAT h, FLOAT zn, FLOAT zf)
|
|
{
|
|
TRACE("pout %p, w %f, h %f, zn %f, zf %f\n", pout, w, h, zn, 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)
|
|
{
|
|
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->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)
|
|
{
|
|
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->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)
|
|
{
|
|
TRACE("pout %p, w %f, h %f, zn %f, zf %f\n", pout, w, h, zn, 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)
|
|
{
|
|
TRACE("pout %p, fovy %f, aspect %f, zn %f, zf %f\n", pout, fovy, aspect, zn, 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)
|
|
{
|
|
TRACE("pout %p, fovy %f, aspect %f, zn %f, zf %f\n", pout, fovy, aspect, zn, 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)
|
|
{
|
|
TRACE("pout %p, w %f, h %f, zn %f, zf %f\n", pout, w, h, zn, 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)
|
|
{
|
|
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->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)
|
|
{
|
|
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->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)
|
|
{
|
|
TRACE("pout %p, w %f, h %f, zn %f, zf %f\n", pout, w, h, zn, 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;
|
|
|
|
TRACE("pout %p, pplane %p\n", pout, pplane);
|
|
|
|
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 *out, const D3DXVECTOR3 *v, FLOAT angle)
|
|
{
|
|
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->u.m[0][0] = cdiff * nv.x * nv.x + cangle;
|
|
out->u.m[1][0] = cdiff * nv.x * nv.y - sangle * nv.z;
|
|
out->u.m[2][0] = cdiff * nv.x * nv.z + sangle * nv.y;
|
|
out->u.m[3][0] = 0.0f;
|
|
out->u.m[0][1] = cdiff * nv.y * nv.x + sangle * nv.z;
|
|
out->u.m[1][1] = cdiff * nv.y * nv.y + cangle;
|
|
out->u.m[2][1] = cdiff * nv.y * nv.z - sangle * nv.x;
|
|
out->u.m[3][1] = 0.0f;
|
|
out->u.m[0][2] = cdiff * nv.z * nv.x - sangle * nv.y;
|
|
out->u.m[1][2] = cdiff * nv.z * nv.y + sangle * nv.x;
|
|
out->u.m[2][2] = cdiff * nv.z * nv.z + cangle;
|
|
out->u.m[3][2] = 0.0f;
|
|
out->u.m[0][3] = 0.0f;
|
|
out->u.m[1][3] = 0.0f;
|
|
out->u.m[2][3] = 0.0f;
|
|
out->u.m[3][3] = 1.0f;
|
|
|
|
return out;
|
|
}
|
|
|
|
D3DXMATRIX* WINAPI D3DXMatrixRotationQuaternion(D3DXMATRIX *pout, const D3DXQUATERNION *pq)
|
|
{
|
|
TRACE("pout %p, pq %p\n", pout, 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)
|
|
{
|
|
TRACE("pout %p, angle %f\n", pout, 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)
|
|
{
|
|
TRACE("pout %p, angle %f\n", pout, 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 *out, FLOAT yaw, FLOAT pitch, FLOAT roll)
|
|
{
|
|
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->u.m[0][0] = sroll * spitch * syaw + croll * cyaw;
|
|
out->u.m[0][1] = sroll * cpitch;
|
|
out->u.m[0][2] = sroll * spitch * cyaw - croll * syaw;
|
|
out->u.m[0][3] = 0.0f;
|
|
out->u.m[1][0] = croll * spitch * syaw - sroll * cyaw;
|
|
out->u.m[1][1] = croll * cpitch;
|
|
out->u.m[1][2] = croll * spitch * cyaw + sroll * syaw;
|
|
out->u.m[1][3] = 0.0f;
|
|
out->u.m[2][0] = cpitch * syaw;
|
|
out->u.m[2][1] = -spitch;
|
|
out->u.m[2][2] = cpitch * cyaw;
|
|
out->u.m[2][3] = 0.0f;
|
|
out->u.m[3][0] = 0.0f;
|
|
out->u.m[3][1] = 0.0f;
|
|
out->u.m[3][2] = 0.0f;
|
|
out->u.m[3][3] = 1.0f;
|
|
|
|
return out;
|
|
}
|
|
|
|
D3DXMATRIX* WINAPI D3DXMatrixRotationZ(D3DXMATRIX *pout, FLOAT angle)
|
|
{
|
|
TRACE("pout %p, angle %f\n", pout, 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)
|
|
{
|
|
TRACE("pout %p, sx %f, sy %f, sz %f\n", pout, sx, sy, 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;
|
|
|
|
TRACE("pout %p, plight %p, pplane %p\n", pout, plight, pplane);
|
|
|
|
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;
|
|
D3DXQUATERNION prc;
|
|
D3DXVECTOR3 psc, pt;
|
|
|
|
TRACE("pout %p, pscalingcenter %p, pscalingrotation %p, pscaling %p, protationcentr %p, protation %p, ptranslation %p\n",
|
|
pout, pscalingcenter, pscalingrotation, pscaling, protationcenter, protation, ptranslation);
|
|
|
|
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(&m1, &m1, &m2);
|
|
D3DXMatrixMultiply(&m1, &m1, &m3);
|
|
D3DXMatrixMultiply(&m1, &m1, &m4);
|
|
D3DXMatrixMultiply(&m1, &m1, &m5);
|
|
D3DXMatrixMultiply(&m1, &m1, &m6);
|
|
D3DXMatrixMultiply(pout, &m1, &m7);
|
|
return pout;
|
|
}
|
|
|
|
D3DXMATRIX* WINAPI D3DXMatrixTransformation2D(D3DXMATRIX *pout, const D3DXVECTOR2 *pscalingcenter, FLOAT scalingrotation, const D3DXVECTOR2 *pscaling, const D3DXVECTOR2 *protationcenter, FLOAT rotation, const D3DXVECTOR2 *ptranslation)
|
|
{
|
|
D3DXQUATERNION rot, sca_rot;
|
|
D3DXVECTOR3 rot_center, sca, sca_center, trans;
|
|
|
|
TRACE("pout %p, pscalingcenter %p, scalingrotation %f, pscaling %p, protztioncenter %p, rotation %f, ptranslation %p\n",
|
|
pout, pscalingcenter, scalingrotation, pscaling, protationcenter, rotation, ptranslation);
|
|
|
|
if ( pscalingcenter )
|
|
{
|
|
sca_center.x=pscalingcenter->x;
|
|
sca_center.y=pscalingcenter->y;
|
|
sca_center.z=0.0f;
|
|
}
|
|
else
|
|
{
|
|
sca_center.x=0.0f;
|
|
sca_center.y=0.0f;
|
|
sca_center.z=0.0f;
|
|
}
|
|
|
|
if ( pscaling )
|
|
{
|
|
sca.x=pscaling->x;
|
|
sca.y=pscaling->y;
|
|
sca.z=1.0f;
|
|
}
|
|
else
|
|
{
|
|
sca.x=1.0f;
|
|
sca.y=1.0f;
|
|
sca.z=1.0f;
|
|
}
|
|
|
|
if ( protationcenter )
|
|
{
|
|
rot_center.x=protationcenter->x;
|
|
rot_center.y=protationcenter->y;
|
|
rot_center.z=0.0f;
|
|
}
|
|
else
|
|
{
|
|
rot_center.x=0.0f;
|
|
rot_center.y=0.0f;
|
|
rot_center.z=0.0f;
|
|
}
|
|
|
|
if ( ptranslation )
|
|
{
|
|
trans.x=ptranslation->x;
|
|
trans.y=ptranslation->y;
|
|
trans.z=0.0f;
|
|
}
|
|
else
|
|
{
|
|
trans.x=0.0f;
|
|
trans.y=0.0f;
|
|
trans.z=0.0f;
|
|
}
|
|
|
|
rot.w=cos(rotation/2.0f);
|
|
rot.x=0.0f;
|
|
rot.y=0.0f;
|
|
rot.z=sin(rotation/2.0f);
|
|
|
|
sca_rot.w=cos(scalingrotation/2.0f);
|
|
sca_rot.x=0.0f;
|
|
sca_rot.y=0.0f;
|
|
sca_rot.z=sin(scalingrotation/2.0f);
|
|
|
|
D3DXMatrixTransformation(pout, &sca_center, &sca_rot, &sca, &rot_center, &rot, &trans);
|
|
|
|
return pout;
|
|
}
|
|
|
|
D3DXMATRIX* WINAPI D3DXMatrixTranslation(D3DXMATRIX *pout, FLOAT x, FLOAT y, FLOAT z)
|
|
{
|
|
TRACE("pout %p, x %f, y %f, z %f\n", pout, x, y, 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)
|
|
{
|
|
const D3DXMATRIX m = *pm;
|
|
int i,j;
|
|
|
|
TRACE("pout %p, pm %p\n", pout, pm);
|
|
|
|
for (i=0; i<4; i++)
|
|
for (j=0; j<4; j++) pout->u.m[i][j] = m.u.m[j][i];
|
|
|
|
return pout;
|
|
}
|
|
|
|
/*_________________D3DXMatrixStack____________________*/
|
|
|
|
static const unsigned int INITIAL_STACK_SIZE = 32;
|
|
|
|
HRESULT WINAPI D3DXCreateMatrixStack(DWORD flags, ID3DXMatrixStack **ppstack)
|
|
{
|
|
struct ID3DXMatrixStackImpl *object;
|
|
|
|
TRACE("flags %#x, ppstack %p\n", flags, ppstack);
|
|
|
|
object = HeapAlloc(GetProcessHeap(), HEAP_ZERO_MEMORY, sizeof(*object));
|
|
if (object == NULL)
|
|
{
|
|
*ppstack = NULL;
|
|
return E_OUTOFMEMORY;
|
|
}
|
|
object->ID3DXMatrixStack_iface.lpVtbl = &ID3DXMatrixStack_Vtbl;
|
|
object->ref = 1;
|
|
|
|
object->stack = HeapAlloc(GetProcessHeap(), 0, INITIAL_STACK_SIZE * sizeof(*object->stack));
|
|
if (!object->stack)
|
|
{
|
|
HeapFree(GetProcessHeap(), 0, object);
|
|
*ppstack = NULL;
|
|
return E_OUTOFMEMORY;
|
|
}
|
|
|
|
object->current = 0;
|
|
object->stack_size = INITIAL_STACK_SIZE;
|
|
D3DXMatrixIdentity(&object->stack[0]);
|
|
|
|
TRACE("Created matrix stack %p\n", object);
|
|
|
|
*ppstack = &object->ID3DXMatrixStack_iface;
|
|
return D3D_OK;
|
|
}
|
|
|
|
static inline struct ID3DXMatrixStackImpl *impl_from_ID3DXMatrixStack(ID3DXMatrixStack *iface)
|
|
{
|
|
return CONTAINING_RECORD(iface, struct ID3DXMatrixStackImpl, ID3DXMatrixStack_iface);
|
|
}
|
|
|
|
static HRESULT WINAPI ID3DXMatrixStackImpl_QueryInterface(ID3DXMatrixStack *iface, REFIID riid, void **out)
|
|
{
|
|
TRACE("iface %p, riid %s, out %p.\n", iface, debugstr_guid(riid), out);
|
|
|
|
if (IsEqualGUID(riid, &IID_ID3DXMatrixStack)
|
|
|| IsEqualGUID(riid, &IID_IUnknown))
|
|
{
|
|
ID3DXMatrixStack_AddRef(iface);
|
|
*out = iface;
|
|
return S_OK;
|
|
}
|
|
|
|
WARN("%s not implemented, returning E_NOINTERFACE.\n", debugstr_guid(riid));
|
|
|
|
*out = NULL;
|
|
return E_NOINTERFACE;
|
|
}
|
|
|
|
static ULONG WINAPI ID3DXMatrixStackImpl_AddRef(ID3DXMatrixStack *iface)
|
|
{
|
|
struct ID3DXMatrixStackImpl *This = impl_from_ID3DXMatrixStack(iface);
|
|
ULONG ref = InterlockedIncrement(&This->ref);
|
|
TRACE("(%p) : AddRef from %d\n", This, ref - 1);
|
|
return ref;
|
|
}
|
|
|
|
static ULONG WINAPI ID3DXMatrixStackImpl_Release(ID3DXMatrixStack *iface)
|
|
{
|
|
struct ID3DXMatrixStackImpl *This = impl_from_ID3DXMatrixStack(iface);
|
|
ULONG ref = InterlockedDecrement(&This->ref);
|
|
if (!ref)
|
|
{
|
|
HeapFree(GetProcessHeap(), 0, This->stack);
|
|
HeapFree(GetProcessHeap(), 0, This);
|
|
}
|
|
TRACE("(%p) : ReleaseRef to %d\n", This, ref);
|
|
return ref;
|
|
}
|
|
|
|
static D3DXMATRIX* WINAPI ID3DXMatrixStackImpl_GetTop(ID3DXMatrixStack *iface)
|
|
{
|
|
struct ID3DXMatrixStackImpl *This = impl_from_ID3DXMatrixStack(iface);
|
|
|
|
TRACE("iface %p\n", iface);
|
|
|
|
return &This->stack[This->current];
|
|
}
|
|
|
|
static HRESULT WINAPI ID3DXMatrixStackImpl_LoadIdentity(ID3DXMatrixStack *iface)
|
|
{
|
|
struct ID3DXMatrixStackImpl *This = impl_from_ID3DXMatrixStack(iface);
|
|
|
|
TRACE("iface %p\n", iface);
|
|
|
|
D3DXMatrixIdentity(&This->stack[This->current]);
|
|
|
|
return D3D_OK;
|
|
}
|
|
|
|
static HRESULT WINAPI ID3DXMatrixStackImpl_LoadMatrix(ID3DXMatrixStack *iface, const D3DXMATRIX *pm)
|
|
{
|
|
struct ID3DXMatrixStackImpl *This = impl_from_ID3DXMatrixStack(iface);
|
|
|
|
TRACE("iface %p, pm %p\n", iface, pm);
|
|
|
|
This->stack[This->current] = *pm;
|
|
|
|
return D3D_OK;
|
|
}
|
|
|
|
static HRESULT WINAPI ID3DXMatrixStackImpl_MultMatrix(ID3DXMatrixStack *iface, const D3DXMATRIX *pm)
|
|
{
|
|
struct ID3DXMatrixStackImpl *This = impl_from_ID3DXMatrixStack(iface);
|
|
|
|
TRACE("iface %p, pm %p\n", iface, pm);
|
|
|
|
D3DXMatrixMultiply(&This->stack[This->current], &This->stack[This->current], pm);
|
|
|
|
return D3D_OK;
|
|
}
|
|
|
|
static HRESULT WINAPI ID3DXMatrixStackImpl_MultMatrixLocal(ID3DXMatrixStack *iface, const D3DXMATRIX *pm)
|
|
{
|
|
struct ID3DXMatrixStackImpl *This = impl_from_ID3DXMatrixStack(iface);
|
|
|
|
TRACE("iface %p, pm %p\n", iface, pm);
|
|
|
|
D3DXMatrixMultiply(&This->stack[This->current], pm, &This->stack[This->current]);
|
|
|
|
return D3D_OK;
|
|
}
|
|
|
|
static HRESULT WINAPI ID3DXMatrixStackImpl_Pop(ID3DXMatrixStack *iface)
|
|
{
|
|
struct ID3DXMatrixStackImpl *This = impl_from_ID3DXMatrixStack(iface);
|
|
|
|
TRACE("iface %p\n", iface);
|
|
|
|
/* Popping the last element on the stack returns D3D_OK, but does nothing. */
|
|
if (!This->current) return D3D_OK;
|
|
|
|
if (This->current <= This->stack_size / 4 && This->stack_size >= INITIAL_STACK_SIZE * 2)
|
|
{
|
|
unsigned int new_size;
|
|
D3DXMATRIX *new_stack;
|
|
|
|
new_size = This->stack_size / 2;
|
|
new_stack = HeapReAlloc(GetProcessHeap(), 0, This->stack, new_size * sizeof(*new_stack));
|
|
if (new_stack)
|
|
{
|
|
This->stack_size = new_size;
|
|
This->stack = new_stack;
|
|
}
|
|
}
|
|
|
|
--This->current;
|
|
|
|
return D3D_OK;
|
|
}
|
|
|
|
static HRESULT WINAPI ID3DXMatrixStackImpl_Push(ID3DXMatrixStack *iface)
|
|
{
|
|
struct ID3DXMatrixStackImpl *This = impl_from_ID3DXMatrixStack(iface);
|
|
|
|
TRACE("iface %p\n", iface);
|
|
|
|
if (This->current == This->stack_size - 1)
|
|
{
|
|
unsigned int new_size;
|
|
D3DXMATRIX *new_stack;
|
|
|
|
if (This->stack_size > UINT_MAX / 2) return E_OUTOFMEMORY;
|
|
|
|
new_size = This->stack_size * 2;
|
|
new_stack = HeapReAlloc(GetProcessHeap(), 0, This->stack, new_size * sizeof(*new_stack));
|
|
if (!new_stack) return E_OUTOFMEMORY;
|
|
|
|
This->stack_size = new_size;
|
|
This->stack = new_stack;
|
|
}
|
|
|
|
++This->current;
|
|
This->stack[This->current] = This->stack[This->current - 1];
|
|
|
|
return D3D_OK;
|
|
}
|
|
|
|
static HRESULT WINAPI ID3DXMatrixStackImpl_RotateAxis(ID3DXMatrixStack *iface, const D3DXVECTOR3 *pv, FLOAT angle)
|
|
{
|
|
D3DXMATRIX temp;
|
|
struct ID3DXMatrixStackImpl *This = impl_from_ID3DXMatrixStack(iface);
|
|
|
|
TRACE("iface %p, pv %p, angle %f\n", iface, pv, angle);
|
|
|
|
D3DXMatrixRotationAxis(&temp, pv, angle);
|
|
D3DXMatrixMultiply(&This->stack[This->current], &This->stack[This->current], &temp);
|
|
|
|
return D3D_OK;
|
|
}
|
|
|
|
static HRESULT WINAPI ID3DXMatrixStackImpl_RotateAxisLocal(ID3DXMatrixStack *iface, const D3DXVECTOR3 *pv, FLOAT angle)
|
|
{
|
|
D3DXMATRIX temp;
|
|
struct ID3DXMatrixStackImpl *This = impl_from_ID3DXMatrixStack(iface);
|
|
|
|
TRACE("iface %p, pv %p, angle %f\n", iface, pv, angle);
|
|
|
|
D3DXMatrixRotationAxis(&temp, pv, angle);
|
|
D3DXMatrixMultiply(&This->stack[This->current], &temp, &This->stack[This->current]);
|
|
|
|
return D3D_OK;
|
|
}
|
|
|
|
static HRESULT WINAPI ID3DXMatrixStackImpl_RotateYawPitchRoll(ID3DXMatrixStack *iface, FLOAT x, FLOAT y, FLOAT z)
|
|
{
|
|
D3DXMATRIX temp;
|
|
struct ID3DXMatrixStackImpl *This = impl_from_ID3DXMatrixStack(iface);
|
|
|
|
TRACE("iface %p, x %f, y %f, z %f\n", iface, x, y, z);
|
|
|
|
D3DXMatrixRotationYawPitchRoll(&temp, x, y, z);
|
|
D3DXMatrixMultiply(&This->stack[This->current], &This->stack[This->current], &temp);
|
|
|
|
return D3D_OK;
|
|
}
|
|
|
|
static HRESULT WINAPI ID3DXMatrixStackImpl_RotateYawPitchRollLocal(ID3DXMatrixStack *iface, FLOAT x, FLOAT y, FLOAT z)
|
|
{
|
|
D3DXMATRIX temp;
|
|
struct ID3DXMatrixStackImpl *This = impl_from_ID3DXMatrixStack(iface);
|
|
|
|
TRACE("iface %p, x %f, y %f, z %f\n", iface, x, y, z);
|
|
|
|
D3DXMatrixRotationYawPitchRoll(&temp, x, y, z);
|
|
D3DXMatrixMultiply(&This->stack[This->current], &temp, &This->stack[This->current]);
|
|
|
|
return D3D_OK;
|
|
}
|
|
|
|
static HRESULT WINAPI ID3DXMatrixStackImpl_Scale(ID3DXMatrixStack *iface, FLOAT x, FLOAT y, FLOAT z)
|
|
{
|
|
D3DXMATRIX temp;
|
|
struct ID3DXMatrixStackImpl *This = impl_from_ID3DXMatrixStack(iface);
|
|
|
|
TRACE("iface %p,x %f, y %f, z %f\n", iface, x, y, z);
|
|
|
|
D3DXMatrixScaling(&temp, x, y, z);
|
|
D3DXMatrixMultiply(&This->stack[This->current], &This->stack[This->current], &temp);
|
|
|
|
return D3D_OK;
|
|
}
|
|
|
|
static HRESULT WINAPI ID3DXMatrixStackImpl_ScaleLocal(ID3DXMatrixStack *iface, FLOAT x, FLOAT y, FLOAT z)
|
|
{
|
|
D3DXMATRIX temp;
|
|
struct ID3DXMatrixStackImpl *This = impl_from_ID3DXMatrixStack(iface);
|
|
|
|
TRACE("iface %p, x %f, y %f, z %f\n", iface, x, y, z);
|
|
|
|
D3DXMatrixScaling(&temp, x, y, z);
|
|
D3DXMatrixMultiply(&This->stack[This->current], &temp, &This->stack[This->current]);
|
|
|
|
return D3D_OK;
|
|
}
|
|
|
|
static HRESULT WINAPI ID3DXMatrixStackImpl_Translate(ID3DXMatrixStack *iface, FLOAT x, FLOAT y, FLOAT z)
|
|
{
|
|
D3DXMATRIX temp;
|
|
struct ID3DXMatrixStackImpl *This = impl_from_ID3DXMatrixStack(iface);
|
|
|
|
TRACE("iface %p, x %f, y %f, z %f\n", iface, x, y, z);
|
|
|
|
D3DXMatrixTranslation(&temp, x, y, z);
|
|
D3DXMatrixMultiply(&This->stack[This->current], &This->stack[This->current], &temp);
|
|
|
|
return D3D_OK;
|
|
}
|
|
|
|
static HRESULT WINAPI ID3DXMatrixStackImpl_TranslateLocal(ID3DXMatrixStack *iface, FLOAT x, FLOAT y, FLOAT z)
|
|
{
|
|
D3DXMATRIX temp;
|
|
struct ID3DXMatrixStackImpl *This = impl_from_ID3DXMatrixStack(iface);
|
|
|
|
TRACE("iface %p, x %f, y %f, z %f\n", iface, x, y, z);
|
|
|
|
D3DXMatrixTranslation(&temp, x, y, z);
|
|
D3DXMatrixMultiply(&This->stack[This->current], &temp,&This->stack[This->current]);
|
|
|
|
return D3D_OK;
|
|
}
|
|
|
|
static const ID3DXMatrixStackVtbl ID3DXMatrixStack_Vtbl =
|
|
{
|
|
ID3DXMatrixStackImpl_QueryInterface,
|
|
ID3DXMatrixStackImpl_AddRef,
|
|
ID3DXMatrixStackImpl_Release,
|
|
ID3DXMatrixStackImpl_Pop,
|
|
ID3DXMatrixStackImpl_Push,
|
|
ID3DXMatrixStackImpl_LoadIdentity,
|
|
ID3DXMatrixStackImpl_LoadMatrix,
|
|
ID3DXMatrixStackImpl_MultMatrix,
|
|
ID3DXMatrixStackImpl_MultMatrixLocal,
|
|
ID3DXMatrixStackImpl_RotateAxis,
|
|
ID3DXMatrixStackImpl_RotateAxisLocal,
|
|
ID3DXMatrixStackImpl_RotateYawPitchRoll,
|
|
ID3DXMatrixStackImpl_RotateYawPitchRollLocal,
|
|
ID3DXMatrixStackImpl_Scale,
|
|
ID3DXMatrixStackImpl_ScaleLocal,
|
|
ID3DXMatrixStackImpl_Translate,
|
|
ID3DXMatrixStackImpl_TranslateLocal,
|
|
ID3DXMatrixStackImpl_GetTop
|
|
};
|
|
|
|
/*_________________D3DXPLANE________________*/
|
|
|
|
D3DXPLANE* WINAPI D3DXPlaneFromPointNormal(D3DXPLANE *pout, const D3DXVECTOR3 *pvpoint, const D3DXVECTOR3 *pvnormal)
|
|
{
|
|
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;
|
|
}
|
|
|
|
D3DXPLANE* WINAPI D3DXPlaneFromPoints(D3DXPLANE *pout, const D3DXVECTOR3 *pv1, const D3DXVECTOR3 *pv2, const D3DXVECTOR3 *pv3)
|
|
{
|
|
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;
|
|
}
|
|
|
|
D3DXVECTOR3* WINAPI D3DXPlaneIntersectLine(D3DXVECTOR3 *pout, const D3DXPLANE *pp, const D3DXVECTOR3 *pv1, const D3DXVECTOR3 *pv2)
|
|
{
|
|
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;
|
|
}
|
|
|
|
D3DXPLANE * WINAPI D3DXPlaneNormalize(D3DXPLANE *out, const D3DXPLANE *p)
|
|
{
|
|
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;
|
|
}
|
|
|
|
D3DXPLANE* WINAPI D3DXPlaneTransform(D3DXPLANE *pout, const D3DXPLANE *pplane, const D3DXMATRIX *pm)
|
|
{
|
|
const D3DXPLANE plane = *pplane;
|
|
|
|
TRACE("pout %p, pplane %p, pm %p\n", pout, pplane, pm);
|
|
|
|
pout->a = pm->u.m[0][0] * plane.a + pm->u.m[1][0] * plane.b + pm->u.m[2][0] * plane.c + pm->u.m[3][0] * plane.d;
|
|
pout->b = pm->u.m[0][1] * plane.a + pm->u.m[1][1] * plane.b + pm->u.m[2][1] * plane.c + pm->u.m[3][1] * plane.d;
|
|
pout->c = pm->u.m[0][2] * plane.a + pm->u.m[1][2] * plane.b + pm->u.m[2][2] * plane.c + pm->u.m[3][2] * plane.d;
|
|
pout->d = pm->u.m[0][3] * plane.a + pm->u.m[1][3] * plane.b + pm->u.m[2][3] * plane.c + pm->u.m[3][3] * plane.d;
|
|
return pout;
|
|
}
|
|
|
|
D3DXPLANE* WINAPI D3DXPlaneTransformArray(D3DXPLANE* out, UINT outstride, const D3DXPLANE* in, UINT instride, const D3DXMATRIX* matrix, UINT elements)
|
|
{
|
|
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;
|
|
}
|
|
|
|
/*_________________D3DXQUATERNION________________*/
|
|
|
|
D3DXQUATERNION* WINAPI D3DXQuaternionBaryCentric(D3DXQUATERNION *pout, const D3DXQUATERNION *pq1, const D3DXQUATERNION *pq2, const D3DXQUATERNION *pq3, FLOAT f, FLOAT g)
|
|
{
|
|
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;
|
|
}
|
|
|
|
D3DXQUATERNION * WINAPI D3DXQuaternionExp(D3DXQUATERNION *out, const D3DXQUATERNION *q)
|
|
{
|
|
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;
|
|
}
|
|
|
|
D3DXQUATERNION* WINAPI D3DXQuaternionInverse(D3DXQUATERNION *pout, const D3DXQUATERNION *pq)
|
|
{
|
|
D3DXQUATERNION out;
|
|
FLOAT norm;
|
|
|
|
TRACE("pout %p, pq %p\n", pout, pq);
|
|
|
|
norm = D3DXQuaternionLengthSq(pq);
|
|
|
|
out.x = -pq->x / norm;
|
|
out.y = -pq->y / norm;
|
|
out.z = -pq->z / norm;
|
|
out.w = pq->w / norm;
|
|
|
|
*pout =out;
|
|
return pout;
|
|
}
|
|
|
|
D3DXQUATERNION * WINAPI D3DXQuaternionLn(D3DXQUATERNION *out, const D3DXQUATERNION *q)
|
|
{
|
|
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;
|
|
}
|
|
|
|
D3DXQUATERNION* WINAPI D3DXQuaternionMultiply(D3DXQUATERNION *pout, const D3DXQUATERNION *pq1, const D3DXQUATERNION *pq2)
|
|
{
|
|
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;
|
|
}
|
|
|
|
D3DXQUATERNION * WINAPI D3DXQuaternionNormalize(D3DXQUATERNION *out, const D3DXQUATERNION *q)
|
|
{
|
|
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;
|
|
}
|
|
|
|
D3DXQUATERNION * WINAPI D3DXQuaternionRotationAxis(D3DXQUATERNION *out, const D3DXVECTOR3 *v, FLOAT angle)
|
|
{
|
|
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;
|
|
}
|
|
|
|
D3DXQUATERNION * WINAPI D3DXQuaternionRotationMatrix(D3DXQUATERNION *out, const D3DXMATRIX *m)
|
|
{
|
|
FLOAT s, trace;
|
|
|
|
TRACE("out %p, m %p\n", out, m);
|
|
|
|
trace = m->u.m[0][0] + m->u.m[1][1] + m->u.m[2][2] + 1.0f;
|
|
if (trace > 1.0f)
|
|
{
|
|
s = 2.0f * sqrtf(trace);
|
|
out->x = (m->u.m[1][2] - m->u.m[2][1]) / s;
|
|
out->y = (m->u.m[2][0] - m->u.m[0][2]) / s;
|
|
out->z = (m->u.m[0][1] - m->u.m[1][0]) / s;
|
|
out->w = 0.25f * s;
|
|
}
|
|
else
|
|
{
|
|
int i, maxi = 0;
|
|
|
|
for (i = 1; i < 3; i++)
|
|
{
|
|
if (m->u.m[i][i] > m->u.m[maxi][maxi])
|
|
maxi = i;
|
|
}
|
|
|
|
switch (maxi)
|
|
{
|
|
case 0:
|
|
s = 2.0f * sqrtf(1.0f + m->u.m[0][0] - m->u.m[1][1] - m->u.m[2][2]);
|
|
out->x = 0.25f * s;
|
|
out->y = (m->u.m[0][1] + m->u.m[1][0]) / s;
|
|
out->z = (m->u.m[0][2] + m->u.m[2][0]) / s;
|
|
out->w = (m->u.m[1][2] - m->u.m[2][1]) / s;
|
|
break;
|
|
|
|
case 1:
|
|
s = 2.0f * sqrtf(1.0f + m->u.m[1][1] - m->u.m[0][0] - m->u.m[2][2]);
|
|
out->x = (m->u.m[0][1] + m->u.m[1][0]) / s;
|
|
out->y = 0.25f * s;
|
|
out->z = (m->u.m[1][2] + m->u.m[2][1]) / s;
|
|
out->w = (m->u.m[2][0] - m->u.m[0][2]) / s;
|
|
break;
|
|
|
|
case 2:
|
|
s = 2.0f * sqrtf(1.0f + m->u.m[2][2] - m->u.m[0][0] - m->u.m[1][1]);
|
|
out->x = (m->u.m[0][2] + m->u.m[2][0]) / s;
|
|
out->y = (m->u.m[1][2] + m->u.m[2][1]) / s;
|
|
out->z = 0.25f * s;
|
|
out->w = (m->u.m[0][1] - m->u.m[1][0]) / s;
|
|
break;
|
|
}
|
|
}
|
|
|
|
return out;
|
|
}
|
|
|
|
D3DXQUATERNION * WINAPI D3DXQuaternionRotationYawPitchRoll(D3DXQUATERNION *out, FLOAT yaw, FLOAT pitch, FLOAT roll)
|
|
{
|
|
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;
|
|
}
|
|
|
|
D3DXQUATERNION * WINAPI D3DXQuaternionSlerp(D3DXQUATERNION *out, const D3DXQUATERNION *q1,
|
|
const D3DXQUATERNION *q2, FLOAT t)
|
|
{
|
|
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;
|
|
}
|
|
|
|
D3DXQUATERNION* WINAPI D3DXQuaternionSquad(D3DXQUATERNION *pout, const D3DXQUATERNION *pq1, const D3DXQUATERNION *pq2, const D3DXQUATERNION *pq3, const D3DXQUATERNION *pq4, FLOAT t)
|
|
{
|
|
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;
|
|
}
|
|
|
|
static D3DXQUATERNION add_diff(const D3DXQUATERNION *q1, const D3DXQUATERNION *q2, const FLOAT add)
|
|
{
|
|
D3DXQUATERNION temp;
|
|
|
|
temp.x = q1->x + add * q2->x;
|
|
temp.y = q1->y + add * q2->y;
|
|
temp.z = q1->z + add * q2->z;
|
|
temp.w = q1->w + add * q2->w;
|
|
|
|
return temp;
|
|
}
|
|
|
|
void WINAPI D3DXQuaternionSquadSetup(D3DXQUATERNION *paout, D3DXQUATERNION *pbout, D3DXQUATERNION *pcout, const D3DXQUATERNION *pq0, const D3DXQUATERNION *pq1, const D3DXQUATERNION *pq2, const D3DXQUATERNION *pq3)
|
|
{
|
|
D3DXQUATERNION q, temp1, temp2, temp3, zero;
|
|
|
|
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 )
|
|
*pcout = add_diff(&zero, pq2, -1.0f);
|
|
else
|
|
*pcout = *pq2;
|
|
|
|
if ( D3DXQuaternionDot(pcout, 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, pcout);
|
|
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(paout, pq1, &temp1);
|
|
|
|
D3DXQuaternionInverse(&temp1, pcout);
|
|
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, pcout, &temp1);
|
|
|
|
return;
|
|
}
|
|
|
|
void WINAPI D3DXQuaternionToAxisAngle(const D3DXQUATERNION *pq, D3DXVECTOR3 *paxis, FLOAT *pangle)
|
|
{
|
|
TRACE("pq %p, paxis %p, pangle %p\n", pq, paxis, pangle);
|
|
|
|
paxis->x = pq->x;
|
|
paxis->y = pq->y;
|
|
paxis->z = pq->z;
|
|
*pangle = 2.0f * acos(pq->w);
|
|
}
|
|
|
|
/*_________________D3DXVec2_____________________*/
|
|
|
|
D3DXVECTOR2* WINAPI D3DXVec2BaryCentric(D3DXVECTOR2 *pout, const D3DXVECTOR2 *pv1, const D3DXVECTOR2 *pv2, const D3DXVECTOR2 *pv3, FLOAT f, FLOAT g)
|
|
{
|
|
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;
|
|
}
|
|
|
|
D3DXVECTOR2* WINAPI D3DXVec2CatmullRom(D3DXVECTOR2 *pout, const D3DXVECTOR2 *pv0, const D3DXVECTOR2 *pv1, const D3DXVECTOR2 *pv2, const D3DXVECTOR2 *pv3, FLOAT s)
|
|
{
|
|
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;
|
|
}
|
|
|
|
D3DXVECTOR2* WINAPI D3DXVec2Hermite(D3DXVECTOR2 *pout, const D3DXVECTOR2 *pv1, const D3DXVECTOR2 *pt1, const D3DXVECTOR2 *pv2, const D3DXVECTOR2 *pt2, FLOAT s)
|
|
{
|
|
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;
|
|
}
|
|
|
|
D3DXVECTOR2* WINAPI D3DXVec2Normalize(D3DXVECTOR2 *pout, const D3DXVECTOR2 *pv)
|
|
{
|
|
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;
|
|
}
|
|
|
|
D3DXVECTOR4* WINAPI D3DXVec2Transform(D3DXVECTOR4 *pout, const D3DXVECTOR2 *pv, const D3DXMATRIX *pm)
|
|
{
|
|
TRACE("pout %p, pv %p, pm %p\n", pout, pv, 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;
|
|
}
|
|
|
|
D3DXVECTOR4* WINAPI D3DXVec2TransformArray(D3DXVECTOR4* out, UINT outstride, const D3DXVECTOR2* in, UINT instride, const D3DXMATRIX* matrix, UINT elements)
|
|
{
|
|
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;
|
|
}
|
|
|
|
D3DXVECTOR2* WINAPI D3DXVec2TransformCoord(D3DXVECTOR2 *pout, const D3DXVECTOR2 *pv, const D3DXMATRIX *pm)
|
|
{
|
|
D3DXVECTOR2 v;
|
|
FLOAT norm;
|
|
|
|
TRACE("pout %p, pv %p, pm %p\n", pout, pv, pm);
|
|
|
|
v = *pv;
|
|
norm = pm->u.m[0][3] * pv->x + pm->u.m[1][3] * pv->y + pm->u.m[3][3];
|
|
|
|
pout->x = (pm->u.m[0][0] * v.x + pm->u.m[1][0] * v.y + pm->u.m[3][0]) / norm;
|
|
pout->y = (pm->u.m[0][1] * v.x + pm->u.m[1][1] * v.y + pm->u.m[3][1]) / norm;
|
|
|
|
return pout;
|
|
}
|
|
|
|
D3DXVECTOR2* WINAPI D3DXVec2TransformCoordArray(D3DXVECTOR2* out, UINT outstride, const D3DXVECTOR2* in, UINT instride, const D3DXMATRIX* matrix, UINT elements)
|
|
{
|
|
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;
|
|
}
|
|
|
|
D3DXVECTOR2* WINAPI D3DXVec2TransformNormal(D3DXVECTOR2 *pout, const D3DXVECTOR2 *pv, const D3DXMATRIX *pm)
|
|
{
|
|
const D3DXVECTOR2 v = *pv;
|
|
|
|
TRACE("pout %p, pv %p, pm %p", pout, pv, pm);
|
|
|
|
pout->x = pm->u.m[0][0] * v.x + pm->u.m[1][0] * v.y;
|
|
pout->y = pm->u.m[0][1] * v.x + pm->u.m[1][1] * v.y;
|
|
return pout;
|
|
}
|
|
|
|
D3DXVECTOR2* WINAPI D3DXVec2TransformNormalArray(D3DXVECTOR2* out, UINT outstride, const D3DXVECTOR2 *in, UINT instride, const D3DXMATRIX *matrix, UINT elements)
|
|
{
|
|
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;
|
|
}
|
|
|
|
/*_________________D3DXVec3_____________________*/
|
|
|
|
D3DXVECTOR3* WINAPI D3DXVec3BaryCentric(D3DXVECTOR3 *pout, const D3DXVECTOR3 *pv1, const D3DXVECTOR3 *pv2, const D3DXVECTOR3 *pv3, FLOAT f, FLOAT g)
|
|
{
|
|
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;
|
|
}
|
|
|
|
D3DXVECTOR3* WINAPI D3DXVec3CatmullRom( D3DXVECTOR3 *pout, const D3DXVECTOR3 *pv0, const D3DXVECTOR3 *pv1, const D3DXVECTOR3 *pv2, const D3DXVECTOR3 *pv3, FLOAT s)
|
|
{
|
|
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;
|
|
}
|
|
|
|
D3DXVECTOR3* WINAPI D3DXVec3Hermite(D3DXVECTOR3 *pout, const D3DXVECTOR3 *pv1, const D3DXVECTOR3 *pt1, const D3DXVECTOR3 *pv2, const D3DXVECTOR3 *pt2, FLOAT s)
|
|
{
|
|
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;
|
|
}
|
|
|
|
D3DXVECTOR3* WINAPI D3DXVec3Normalize(D3DXVECTOR3 *pout, const D3DXVECTOR3 *pv)
|
|
{
|
|
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;
|
|
}
|
|
|
|
D3DXVECTOR3* WINAPI D3DXVec3Project(D3DXVECTOR3 *pout, const D3DXVECTOR3 *pv, const D3DVIEWPORT9 *pviewport, const D3DXMATRIX *pprojection, const D3DXMATRIX *pview, const D3DXMATRIX *pworld)
|
|
{
|
|
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;
|
|
}
|
|
|
|
D3DXVECTOR3* WINAPI D3DXVec3ProjectArray(D3DXVECTOR3* out, UINT outstride, const D3DXVECTOR3* in, UINT instride, const D3DVIEWPORT9* viewport, const D3DXMATRIX* projection, const D3DXMATRIX* view, const D3DXMATRIX* world, UINT elements)
|
|
{
|
|
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;
|
|
}
|
|
|
|
D3DXVECTOR4* WINAPI D3DXVec3Transform(D3DXVECTOR4 *pout, const D3DXVECTOR3 *pv, const D3DXMATRIX *pm)
|
|
{
|
|
TRACE("pout %p, pv %p, pm %p\n", pout, pv, 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;
|
|
}
|
|
|
|
D3DXVECTOR4* WINAPI D3DXVec3TransformArray(D3DXVECTOR4* out, UINT outstride, const D3DXVECTOR3* in, UINT instride, const D3DXMATRIX* matrix, UINT elements)
|
|
{
|
|
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;
|
|
}
|
|
|
|
D3DXVECTOR3* WINAPI D3DXVec3TransformCoord(D3DXVECTOR3 *pout, const D3DXVECTOR3 *pv, const D3DXMATRIX *pm)
|
|
{
|
|
D3DXVECTOR3 out;
|
|
FLOAT norm;
|
|
|
|
TRACE("pout %p, pv %p, pm %p\n", pout, pv, pm);
|
|
|
|
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];
|
|
|
|
out.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;
|
|
out.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;
|
|
out.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;
|
|
|
|
*pout = out;
|
|
|
|
return pout;
|
|
}
|
|
|
|
D3DXVECTOR3* WINAPI D3DXVec3TransformCoordArray(D3DXVECTOR3* out, UINT outstride, const D3DXVECTOR3* in, UINT instride, const D3DXMATRIX* matrix, UINT elements)
|
|
{
|
|
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;
|
|
}
|
|
|
|
D3DXVECTOR3* WINAPI D3DXVec3TransformNormal(D3DXVECTOR3 *pout, const D3DXVECTOR3 *pv, const D3DXMATRIX *pm)
|
|
{
|
|
const D3DXVECTOR3 v = *pv;
|
|
|
|
TRACE("pout %p, pv %p, pm %p\n", pout, pv, pm);
|
|
|
|
pout->x = pm->u.m[0][0] * v.x + pm->u.m[1][0] * v.y + pm->u.m[2][0] * v.z;
|
|
pout->y = pm->u.m[0][1] * v.x + pm->u.m[1][1] * v.y + pm->u.m[2][1] * v.z;
|
|
pout->z = pm->u.m[0][2] * v.x + pm->u.m[1][2] * v.y + pm->u.m[2][2] * v.z;
|
|
return pout;
|
|
|
|
}
|
|
|
|
D3DXVECTOR3* WINAPI D3DXVec3TransformNormalArray(D3DXVECTOR3* out, UINT outstride, const D3DXVECTOR3* in, UINT instride, const D3DXMATRIX* matrix, UINT elements)
|
|
{
|
|
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;
|
|
}
|
|
|
|
D3DXVECTOR3* WINAPI D3DXVec3Unproject(D3DXVECTOR3 *pout, const D3DXVECTOR3 *pv, const D3DVIEWPORT9 *pviewport, const D3DXMATRIX *pprojection, const D3DXMATRIX *pview, const D3DXMATRIX *pworld)
|
|
{
|
|
D3DXMATRIX m;
|
|
|
|
TRACE("pout %p, pv %p, pviewport %p, pprojection %p, pview %p, pworlds %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);
|
|
D3DXMatrixInverse(&m, NULL, &m);
|
|
|
|
*pout = *pv;
|
|
if (pviewport)
|
|
{
|
|
pout->x = 2.0f * ( pout->x - pviewport->X ) / pviewport->Width - 1.0f;
|
|
pout->y = 1.0f - 2.0f * ( pout->y - pviewport->Y ) / pviewport->Height;
|
|
pout->z = ( pout->z - pviewport->MinZ) / ( pviewport->MaxZ - pviewport->MinZ );
|
|
}
|
|
D3DXVec3TransformCoord(pout, pout, &m);
|
|
return pout;
|
|
}
|
|
|
|
D3DXVECTOR3* WINAPI D3DXVec3UnprojectArray(D3DXVECTOR3* out, UINT outstride, const D3DXVECTOR3* in, UINT instride, const D3DVIEWPORT9* viewport, const D3DXMATRIX* projection, const D3DXMATRIX* view, const D3DXMATRIX* world, UINT elements)
|
|
{
|
|
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;
|
|
}
|
|
|
|
/*_________________D3DXVec4_____________________*/
|
|
|
|
D3DXVECTOR4* WINAPI D3DXVec4BaryCentric(D3DXVECTOR4 *pout, const D3DXVECTOR4 *pv1, const D3DXVECTOR4 *pv2, const D3DXVECTOR4 *pv3, FLOAT f, FLOAT g)
|
|
{
|
|
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;
|
|
}
|
|
|
|
D3DXVECTOR4* WINAPI D3DXVec4CatmullRom(D3DXVECTOR4 *pout, const D3DXVECTOR4 *pv0, const D3DXVECTOR4 *pv1, const D3DXVECTOR4 *pv2, const D3DXVECTOR4 *pv3, FLOAT s)
|
|
{
|
|
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;
|
|
}
|
|
|
|
D3DXVECTOR4* WINAPI D3DXVec4Cross(D3DXVECTOR4 *pout, const D3DXVECTOR4 *pv1, const D3DXVECTOR4 *pv2, const D3DXVECTOR4 *pv3)
|
|
{
|
|
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;
|
|
}
|
|
|
|
D3DXVECTOR4* WINAPI D3DXVec4Hermite(D3DXVECTOR4 *pout, const D3DXVECTOR4 *pv1, const D3DXVECTOR4 *pt1, const D3DXVECTOR4 *pv2, const D3DXVECTOR4 *pt2, FLOAT s)
|
|
{
|
|
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;
|
|
}
|
|
|
|
D3DXVECTOR4* WINAPI D3DXVec4Normalize(D3DXVECTOR4 *pout, const D3DXVECTOR4 *pv)
|
|
{
|
|
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;
|
|
}
|
|
|
|
D3DXVECTOR4* WINAPI D3DXVec4Transform(D3DXVECTOR4 *pout, const D3DXVECTOR4 *pv, const D3DXMATRIX *pm)
|
|
{
|
|
D3DXVECTOR4 out;
|
|
|
|
TRACE("pout %p, pv %p, pm %p\n", pout, pv, pm);
|
|
|
|
out.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;
|
|
out.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;
|
|
out.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;
|
|
out.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;
|
|
*pout = out;
|
|
return pout;
|
|
}
|
|
|
|
D3DXVECTOR4* WINAPI D3DXVec4TransformArray(D3DXVECTOR4* out, UINT outstride, const D3DXVECTOR4* in, UINT instride, const D3DXMATRIX* matrix, UINT elements)
|
|
{
|
|
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;
|
|
}
|
|
|
|
unsigned short float_32_to_16(const float in)
|
|
{
|
|
int exp = 0, origexp;
|
|
float tmp = fabs(in);
|
|
int sign = (copysignf(1, in) < 0);
|
|
unsigned int mantissa;
|
|
unsigned short ret;
|
|
|
|
/* Deal with special numbers */
|
|
if (isinf(in)) return (sign ? 0xffff : 0x7fff);
|
|
if (isnan(in)) return (sign ? 0xffff : 0x7fff);
|
|
if (in == 0.0f) return (sign ? 0x8000 : 0x0000);
|
|
|
|
if (tmp < powf(2, 10))
|
|
{
|
|
do
|
|
{
|
|
tmp *= 2.0f;
|
|
exp--;
|
|
} while (tmp < powf(2, 10));
|
|
}
|
|
else if (tmp >= powf(2, 11))
|
|
{
|
|
do
|
|
{
|
|
tmp /= 2.0f;
|
|
exp++;
|
|
} while (tmp >= powf(2, 11));
|
|
}
|
|
|
|
exp += 10; /* Normalize the mantissa */
|
|
exp += 15; /* Exponent is encoded with excess 15 */
|
|
|
|
origexp = exp;
|
|
|
|
mantissa = (unsigned int) tmp;
|
|
if ((tmp - mantissa == 0.5f && mantissa % 2 == 1) || /* round half to even */
|
|
(tmp - mantissa > 0.5f))
|
|
{
|
|
mantissa++; /* round to nearest, away from zero */
|
|
}
|
|
if (mantissa == 2048)
|
|
{
|
|
mantissa = 1024;
|
|
exp++;
|
|
}
|
|
|
|
if (exp > 31)
|
|
{
|
|
/* too big */
|
|
ret = 0x7fff; /* INF */
|
|
}
|
|
else if (exp <= 0)
|
|
{
|
|
unsigned int rounding = 0;
|
|
|
|
/* Denormalized half float */
|
|
|
|
/* return 0x0000 (=0.0) for numbers too small to represent in half floats */
|
|
if (exp < -11)
|
|
return (sign ? 0x8000 : 0x0000);
|
|
|
|
exp = origexp;
|
|
|
|
/* the 13 extra bits from single precision are used for rounding */
|
|
mantissa = (unsigned int)(tmp * powf(2, 13));
|
|
mantissa >>= 1 - exp; /* denormalize */
|
|
|
|
mantissa -= ~(mantissa >> 13) & 1; /* round half to even */
|
|
/* remove 13 least significant bits to get half float precision */
|
|
mantissa >>= 12;
|
|
rounding = mantissa & 1;
|
|
mantissa >>= 1;
|
|
|
|
ret = mantissa + rounding;
|
|
}
|
|
else
|
|
{
|
|
ret = (exp << 10) | (mantissa & 0x3ff);
|
|
}
|
|
|
|
ret |= ((sign ? 1 : 0) << 15); /* Add the sign */
|
|
return ret;
|
|
}
|
|
|
|
D3DXFLOAT16 *WINAPI D3DXFloat32To16Array(D3DXFLOAT16 *pout, const FLOAT *pin, UINT n)
|
|
{
|
|
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;
|
|
}
|
|
|
|
/* Native d3dx9's D3DXFloat16to32Array lacks support for NaN and Inf. Specifically, e = 16 is treated as a
|
|
* regular number - e.g., 0x7fff is converted to 131008.0 and 0xffff to -131008.0. */
|
|
static inline float float_16_to_32(const unsigned short in)
|
|
{
|
|
const unsigned short s = (in & 0x8000);
|
|
const unsigned short e = (in & 0x7C00) >> 10;
|
|
const unsigned short m = in & 0x3FF;
|
|
const float sgn = (s ? -1.0f : 1.0f);
|
|
|
|
if (e == 0)
|
|
{
|
|
if (m == 0) return sgn * 0.0f; /* +0.0 or -0.0 */
|
|
else return sgn * powf(2, -14.0f) * (m / 1024.0f);
|
|
}
|
|
else
|
|
{
|
|
return sgn * powf(2, e - 15.0f) * (1.0f + (m / 1024.0f));
|
|
}
|
|
}
|
|
|
|
FLOAT *WINAPI D3DXFloat16To32Array(FLOAT *pout, const D3DXFLOAT16 *pin, UINT n)
|
|
{
|
|
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;
|
|
}
|
|
|
|
/*_________________D3DXSH________________*/
|
|
|
|
FLOAT* WINAPI D3DXSHAdd(FLOAT *out, UINT order, const FLOAT *a, const FLOAT *b)
|
|
{
|
|
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;
|
|
}
|
|
|
|
FLOAT WINAPI D3DXSHDot(UINT order, const FLOAT *a, const FLOAT *b)
|
|
{
|
|
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;
|
|
}
|
|
|
|
static void weightedcapintegrale(FLOAT *out, FLOAT order, FLOAT angle)
|
|
{
|
|
FLOAT coeff[3];
|
|
|
|
coeff[0] = cosf(angle);
|
|
|
|
out[0] = 2.0f * D3DX_PI * (1.0f - coeff[0]);
|
|
out[1] = D3DX_PI * sinf(angle) * sinf(angle);
|
|
if (order <= 2)
|
|
return;
|
|
|
|
out[2] = coeff[0] * out[1];
|
|
if (order == 3)
|
|
return;
|
|
|
|
coeff[1] = coeff[0] * coeff[0];
|
|
coeff[2] = coeff[1] * coeff[1];
|
|
|
|
out[3] = D3DX_PI * (-1.25f * coeff[2] + 1.5f * coeff[1] - 0.25f);
|
|
if (order == 4)
|
|
return;
|
|
|
|
out[4] = -0.25f * D3DX_PI * coeff[0] * (7.0f * coeff[2] - 10.0f * coeff[1] + 3.0f);
|
|
if (order == 5)
|
|
return;
|
|
|
|
out[5] = D3DX_PI * (-2.625f * coeff[2] * coeff[1] + 4.375f * coeff[2] - 1.875f * coeff[1] + 0.125f);
|
|
}
|
|
|
|
HRESULT WINAPI D3DXSHEvalConeLight(UINT order, const D3DXVECTOR3 *dir, FLOAT radius,
|
|
FLOAT Rintensity, FLOAT Gintensity, FLOAT Bintensity, FLOAT *rout, FLOAT *gout, FLOAT *bout)
|
|
{
|
|
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;
|
|
}
|
|
|
|
FLOAT* WINAPI D3DXSHEvalDirection(FLOAT *out, UINT order, const D3DXVECTOR3 *dir)
|
|
{
|
|
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 / sqrt(D3DX_PI);
|
|
out[1] = -0.5f / sqrt(D3DX_PI / 3.0f) * dir->y;
|
|
out[2] = 0.5f / sqrt(D3DX_PI / 3.0f) * dir->z;
|
|
out[3] = -0.5f / sqrt(D3DX_PI / 3.0f) * dir->x;
|
|
if (order == 2)
|
|
return out;
|
|
|
|
out[4] = 0.5f / sqrt(D3DX_PI / 15.0f) * dirxy;
|
|
out[5] = -0.5f / sqrt(D3DX_PI / 15.0f) * diryz;
|
|
out[6] = 0.25f / sqrt(D3DX_PI / 5.0f) * (3.0f * dirzz - 1.0f);
|
|
out[7] = -0.5f / sqrt(D3DX_PI / 15.0f) * dirxz;
|
|
out[8] = 0.25f / sqrt(D3DX_PI / 15.0f) * (dirxx - diryy);
|
|
if (order == 3)
|
|
return out;
|
|
|
|
out[9] = -sqrt(70.0f / D3DX_PI) / 8.0f * dir->y * (3.0f * dirxx - diryy);
|
|
out[10] = sqrt(105.0f / D3DX_PI) / 2.0f * dirxy * dir->z;
|
|
out[11] = -sqrt(42.0 / D3DX_PI) / 8.0f * dir->y * (-1.0f + 5.0f * dirzz);
|
|
out[12] = sqrt(7.0f / D3DX_PI) / 4.0f * dir->z * (5.0f * dirzz - 3.0f);
|
|
out[13] = sqrt(42.0 / D3DX_PI) / 8.0f * dir->x * (1.0f - 5.0f * dirzz);
|
|
out[14] = sqrt(105.0f / D3DX_PI) / 4.0f * dir->z * (dirxx - diryy);
|
|
out[15] = -sqrt(70.0f / D3DX_PI) / 8.0f * dir->x * (dirxx - 3.0f * diryy);
|
|
if (order == 4)
|
|
return out;
|
|
|
|
out[16] = 0.75f * sqrt(35.0f / D3DX_PI) * dirxy * (dirxx - diryy);
|
|
out[17] = 3.0f * dir->z * out[9];
|
|
out[18] = 0.75f * sqrt(5.0f / D3DX_PI) * dirxy * (7.0f * dirzz - 1.0f);
|
|
out[19] = 0.375f * sqrt(10.0f / D3DX_PI) * diryz * (3.0f - 7.0f * dirzz);
|
|
out[20] = 3.0f / (16.0f * sqrt(D3DX_PI)) * (35.0f * dirzzzz - 30.f * dirzz + 3.0f);
|
|
out[21] = 0.375f * sqrt(10.0f / D3DX_PI) * dirxz * (3.0f - 7.0f * dirzz);
|
|
out[22] = 0.375f * sqrt(5.0f / D3DX_PI) * (dirxx - diryy) * (7.0f * dirzz - 1.0f);
|
|
out[23] = 3.0 * dir->z * out[15];
|
|
out[24] = 3.0f / 16.0f * sqrt(35.0f / D3DX_PI) * (dirxxxx - 6.0f * dirxyxy + diryyyy);
|
|
if (order == 5)
|
|
return out;
|
|
|
|
out[25] = -3.0f/ 32.0f * sqrt(154.0f / D3DX_PI) * dir->y * (5.0f * dirxxxx - 10.0f * dirxyxy + diryyyy);
|
|
out[26] = 0.75f * sqrt(385.0f / D3DX_PI) * dirxy * dir->z * (dirxx - diryy);
|
|
out[27] = sqrt(770.0f / D3DX_PI) / 32.0f * dir->y * (3.0f * dirxx - diryy) * (1.0f - 9.0f * dirzz);
|
|
out[28] = sqrt(1155.0f / D3DX_PI) / 4.0f * dirxy * dir->z * (3.0f * dirzz - 1.0f);
|
|
out[29] = sqrt(165.0f / D3DX_PI) / 16.0f * dir->y * (14.0f * dirzz - 21.0f * dirzzzz - 1.0f);
|
|
out[30] = sqrt(11.0f / D3DX_PI) / 16.0f * dir->z * (63.0f * dirzzzz - 70.0f * dirzz + 15.0f);
|
|
out[31] = sqrt(165.0f / D3DX_PI) / 16.0f * dir->x * (14.0f * dirzz - 21.0f * dirzzzz - 1.0f);
|
|
out[32] = sqrt(1155.0f / D3DX_PI) / 8.0f * dir->z * (dirxx - diryy) * (3.0f * dirzz - 1.0f);
|
|
out[33] = sqrt(770.0f / D3DX_PI) / 32.0f * dir->x * (dirxx - 3.0f * diryy) * (1.0f - 9.0f * dirzz);
|
|
out[34] = 3.0f / 16.0f * sqrt(385.0f / D3DX_PI) * dir->z * (dirxxxx - 6.0 * dirxyxy + diryyyy);
|
|
out[35] = -3.0f/ 32.0f * sqrt(154.0f / D3DX_PI) * dir->x * (dirxxxx - 10.0f * dirxyxy + 5.0f * diryyyy);
|
|
|
|
return out;
|
|
}
|
|
|
|
HRESULT WINAPI D3DXSHEvalDirectionalLight(UINT order, const D3DXVECTOR3 *dir, FLOAT Rintensity, FLOAT Gintensity, FLOAT Bintensity, FLOAT *Rout, FLOAT *Gout, FLOAT *Bout)
|
|
{
|
|
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;
|
|
}
|
|
|
|
HRESULT WINAPI D3DXSHEvalHemisphereLight(UINT order, const D3DXVECTOR3 *dir, D3DXCOLOR top, D3DXCOLOR bottom,
|
|
FLOAT *rout, FLOAT *gout, FLOAT *bout)
|
|
{
|
|
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;
|
|
}
|
|
|
|
HRESULT WINAPI D3DXSHEvalSphericalLight(UINT order, const D3DXVECTOR3 *dir, FLOAT radius,
|
|
FLOAT Rintensity, FLOAT Gintensity, FLOAT Bintensity, FLOAT *rout, FLOAT *gout, FLOAT *bout)
|
|
{
|
|
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;
|
|
}
|
|
|
|
FLOAT * WINAPI D3DXSHMultiply2(FLOAT *out, const FLOAT *a, const FLOAT *b)
|
|
{
|
|
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;
|
|
}
|
|
|
|
FLOAT * WINAPI D3DXSHMultiply3(FLOAT *out, const FLOAT *a, const FLOAT *b)
|
|
{
|
|
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] - 0.12615662f * a[6] - 0.21850968f * a[8];
|
|
tb = 0.28209479f * b[0] - 0.12615662f * b[6] - 0.21850968f * b[8];
|
|
out[1] = ta * b[1] + tb * a[1];
|
|
t = a[1] * b[1];
|
|
out[0] += 0.28209479f * t;
|
|
out[6] = -0.12615662f * t;
|
|
out[8] = -0.21850968f * t;
|
|
|
|
ta = 0.21850968f * a[5];
|
|
tb = 0.21850968f * 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] = 0.21850968f * t;
|
|
|
|
ta = 0.21850968f * a[4];
|
|
tb = 0.21850968f * 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] = 0.21850968f * 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] += 0.15607834f * t;
|
|
|
|
ta = 0.28209479f * a[0] + 0.09011186 * a[6] - 0.15607835f * a[8];
|
|
tb = 0.28209479f * b[0] + 0.09011186 * 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 = 0.28209480f * 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] + 0.09011186 * a[6] + 0.15607835f * a[8];
|
|
tb = 0.28209479f * b[0] + 0.09011186 * 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] += 0.09011186f * 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;
|
|
}
|
|
|
|
FLOAT * WINAPI D3DXSHMultiply4(FLOAT *out, const FLOAT *a, const FLOAT *b)
|
|
{
|
|
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;
|
|
}
|
|
|
|
static void rotate_X(FLOAT *out, UINT order, FLOAT a, FLOAT *in)
|
|
{
|
|
out[0] = in[0];
|
|
|
|
out[1] = a * in[2];
|
|
out[2] = -a * in[1];
|
|
out[3] = in[3];
|
|
|
|
out[4] = a * in[7];
|
|
out[5] = -in[5];
|
|
out[6] = -0.5f * in[6] - 0.8660253882f * in[8];
|
|
out[7] = -a * in[4];
|
|
out[8] = -0.8660253882f * in[6] + 0.5f * in[8];
|
|
out[9] = -a * 0.7905694842f * in[12] + a * 0.6123724580f * in[14];
|
|
|
|
out[10] = -in[10];
|
|
out[11] = -a * 0.6123724580f * in[12] - a * 0.7905694842f * in[14];
|
|
out[12] = a * 0.7905694842f * in[9] + a * 0.6123724580f * in[11];
|
|
out[13] = -0.25f * in[13] - 0.9682458639f * in[15];
|
|
out[14] = -a * 0.6123724580f * in[9] + a * 0.7905694842f * in[11];
|
|
out[15] = -0.9682458639f * in[13] + 0.25f * in[15];
|
|
if (order == 4)
|
|
return;
|
|
|
|
out[16] = -a * 0.9354143739f * in[21] + a * 0.3535533845f * in[23];
|
|
out[17] = -0.75f * in[17] + 0.6614378095f * in[19];
|
|
out[18] = -a * 0.3535533845f * in[21] - a * 0.9354143739f * in[23];
|
|
out[19] = 0.6614378095f * in[17] + 0.75f * in[19];
|
|
out[20] = 0.375f * in[20] + 0.5590170026f * in[22] + 0.7395099998f * in[24];
|
|
out[21] = a * 0.9354143739f * in[16] + a * 0.3535533845f * in[18];
|
|
out[22] = 0.5590170026f * in[20] + 0.5f * in[22] - 0.6614378691f * in[24];
|
|
out[23] = -a * 0.3535533845f * in[16] + a * 0.9354143739f * in[18];
|
|
out[24] = 0.7395099998f * in[20] - 0.6614378691f * in[22] + 0.125f * in[24];
|
|
if (order == 5)
|
|
return;
|
|
|
|
out[25] = a * 0.7015607357f * in[30] - a * 0.6846531630f * in[32] + a * 0.1976423711f * in[34];
|
|
out[26] = -0.5f * in[26] + 0.8660253882f * in[28];
|
|
out[27] = a * 0.5229125023f * in[30] + a * 0.3061861992f * in[32] - a * 0.7954951525 * in[34];
|
|
out[28] = 0.8660253882f * in[26] + 0.5f * in[28];
|
|
out[29] = a * 0.4841229022f * in[30] + a * 0.6614378691f * in[32] + a * 0.5728219748f * in[34];
|
|
out[30] = -a * 0.7015607357f * in[25] - a * 0.5229125023f * in[27] - a * 0.4841229022f * in[29];
|
|
out[31] = 0.125f * in[31] + 0.4050463140f * in[33] + 0.9057110548f * in[35];
|
|
out[32] = a * 0.6846531630f * in[25] - a * 0.3061861992f * in[27] - a * 0.6614378691f * in[29];
|
|
out[33] = 0.4050463140f * in[31] + 0.8125f * in[33] - 0.4192627370f * in[35];
|
|
out[34] = -a * 0.1976423711f * in[25] + a * 0.7954951525f * in[27] - a * 0.5728219748f * in[29];
|
|
out[35] = 0.9057110548f * in[31] - 0.4192627370f * in[33] + 0.0624999329f * in[35];
|
|
}
|
|
|
|
FLOAT* WINAPI D3DXSHRotate(FLOAT *out, UINT order, const D3DXMATRIX *matrix, const FLOAT *in)
|
|
{
|
|
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->u.m[1][1] * in[1] - matrix->u.m[2][1] * in[2] + matrix->u.m[0][1] * in[3];
|
|
out[2] = -matrix->u.m[1][2] * in[1] + matrix->u.m[2][2] * in[2] - matrix->u.m[0][2] * in[3];
|
|
out[3] = matrix->u.m[1][0] * in[1] - matrix->u.m[2][0] * in[2] + matrix->u.m[0][0] * in[3];
|
|
|
|
if (order == 3)
|
|
{
|
|
FLOAT coeff[]={
|
|
matrix->u.m[1][0] * matrix->u.m[0][0], matrix->u.m[1][1] * matrix->u.m[0][1],
|
|
matrix->u.m[1][1] * matrix->u.m[2][1], matrix->u.m[1][0] * matrix->u.m[2][0],
|
|
matrix->u.m[2][0] * matrix->u.m[2][0], matrix->u.m[2][1] * matrix->u.m[2][1],
|
|
matrix->u.m[0][0] * matrix->u.m[2][0], matrix->u.m[0][1] * matrix->u.m[2][1],
|
|
matrix->u.m[0][1] * matrix->u.m[0][1], matrix->u.m[1][0] * matrix->u.m[1][0],
|
|
matrix->u.m[1][1] * matrix->u.m[1][1], matrix->u.m[0][0] * matrix->u.m[0][0], };
|
|
|
|
out[4] = (matrix->u.m[1][1] * matrix->u.m[0][0] + matrix->u.m[0][1] * matrix->u.m[1][0]) * in[4];
|
|
out[4] -= (matrix->u.m[1][0] * matrix->u.m[2][1] + matrix->u.m[1][1] * matrix->u.m[2][0]) * in[5];
|
|
out[4] += 1.7320508076f * matrix->u.m[2][0] * matrix->u.m[2][1] * in[6];
|
|
out[4] -= (matrix->u.m[0][1] * matrix->u.m[2][0] + matrix->u.m[0][0] * matrix->u.m[2][1]) * in[7];
|
|
out[4] += (matrix->u.m[0][0] * matrix->u.m[0][1] - matrix->u.m[1][0] * matrix->u.m[1][1]) * in[8];
|
|
|
|
out[5] = (matrix->u.m[1][1] * matrix->u.m[2][2] + matrix->u.m[1][2] * matrix->u.m[2][1]) * in[5];
|
|
out[5] -= (matrix->u.m[1][1] * matrix->u.m[0][2] + matrix->u.m[1][2] * matrix->u.m[0][1]) * in[4];
|
|
out[5] -= 1.7320508076f * matrix->u.m[2][2] * matrix->u.m[2][1] * in[6];
|
|
out[5] += (matrix->u.m[0][2] * matrix->u.m[2][1] + matrix->u.m[0][1] * matrix->u.m[2][2]) * in[7];
|
|
out[5] -= (matrix->u.m[0][1] * matrix->u.m[0][2] - matrix->u.m[1][1] * matrix->u.m[1][2]) * in[8];
|
|
|
|
out[6] = (matrix->u.m[2][2] * matrix->u.m[2][2] - 0.5f * (coeff[4] + coeff[5])) * in[6];
|
|
out[6] -= (0.5773502692f * (coeff[0] + coeff[1]) - 1.1547005384f * matrix->u.m[1][2] * matrix->u.m[0][2]) * in[4];
|
|
out[6] += (0.5773502692f * (coeff[2] + coeff[3]) - 1.1547005384f * matrix->u.m[1][2] * matrix->u.m[2][2]) * in[5];
|
|
out[6] += (0.5773502692f * (coeff[6] + coeff[7]) - 1.1547005384f * matrix->u.m[0][2] * matrix->u.m[2][2]) * in[7];
|
|
out[6] += (0.2886751347f * (coeff[9] - coeff[8] + coeff[10] - coeff[11]) - 0.5773502692f *
|
|
(matrix->u.m[1][2] * matrix->u.m[1][2] - matrix->u.m[0][2] * matrix->u.m[0][2])) * in[8];
|
|
|
|
out[7] = (matrix->u.m[0][0] * matrix->u.m[2][2] + matrix->u.m[0][2] * matrix->u.m[2][0]) * in[7];
|
|
out[7] -= (matrix->u.m[1][0] * matrix->u.m[0][2] + matrix->u.m[1][2] * matrix->u.m[0][0]) * in[4];
|
|
out[7] += (matrix->u.m[1][0] * matrix->u.m[2][2] + matrix->u.m[1][2] * matrix->u.m[2][0]) * in[5];
|
|
out[7] -= 1.7320508076f * matrix->u.m[2][2] * matrix->u.m[2][0] * in[6];
|
|
out[7] -= (matrix->u.m[0][0] * matrix->u.m[0][2] - matrix->u.m[1][0] * matrix->u.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->u.m[2][2]) != 1.0f)
|
|
{
|
|
sinb = sqrtf(1.0f - matrix->u.m[2][2] * matrix->u.m[2][2]);
|
|
alpha = atan2f(matrix->u.m[2][1] / sinb, matrix->u.m[2][0] / sinb);
|
|
beta = atan2f(sinb, matrix->u.m[2][2]);
|
|
gamma = atan2f(matrix->u.m[1][2] / sinb, -matrix->u.m[0][2] / sinb);
|
|
}
|
|
else
|
|
{
|
|
alpha = atan2f(matrix->u.m[0][1], matrix->u.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;
|
|
}
|
|
|
|
FLOAT * WINAPI D3DXSHRotateZ(FLOAT *out, UINT order, FLOAT angle, const FLOAT *in)
|
|
{
|
|
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;
|
|
}
|
|
|
|
FLOAT* WINAPI D3DXSHScale(FLOAT *out, UINT order, const FLOAT *a, const FLOAT scale)
|
|
{
|
|
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;
|
|
}
|