| /* |
| * Mathematical operations specific to D3DX9. |
| * |
| * Copyright (C) 2008 David Adam |
| * Copyright (C) 2008 Luis Busquets |
| * Copyright (C) 2008 Jérôme Gardou |
| * Copyright (C) 2008 Philip Nilsson |
| * Copyright (C) 2008 Henri Verbeet |
| * |
| * This library is free software; you can redistribute it and/or |
| * modify it under the terms of the GNU Lesser General Public |
| * License as published by the Free Software Foundation; either |
| * version 2.1 of the License, or (at your option) any later version. |
| * |
| * This library is distributed in the hope that it will be useful, |
| * but WITHOUT ANY WARRANTY; without even the implied warranty of |
| * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
| * Lesser General Public License for more details. |
| * |
| * You should have received a copy of the GNU Lesser General Public |
| * License along with this library; if not, write to the Free Software |
| * Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA |
| */ |
| |
| #include "config.h" |
| #include "wine/port.h" |
| |
| #include "d3dx9_private.h" |
| |
| WINE_DEFAULT_DEBUG_CHANNEL(d3dx); |
| |
| struct ID3DXMatrixStackImpl |
| { |
| ID3DXMatrixStack ID3DXMatrixStack_iface; |
| LONG ref; |
| |
| unsigned int current; |
| unsigned int stack_size; |
| D3DXMATRIX *stack; |
| }; |
| |
| static const unsigned int INITIAL_STACK_SIZE = 32; |
| |
| /*_________________D3DXColor____________________*/ |
| |
| D3DXCOLOR* WINAPI D3DXColorAdjustContrast(D3DXCOLOR *pout, const D3DXCOLOR *pc, FLOAT s) |
| { |
| TRACE("pout %p, pc %p, s %f\n", pout, pc, s); |
| |
| pout->r = 0.5f + s * (pc->r - 0.5f); |
| pout->g = 0.5f + s * (pc->g - 0.5f); |
| pout->b = 0.5f + s * (pc->b - 0.5f); |
| pout->a = pc->a; |
| return pout; |
| } |
| |
| D3DXCOLOR* WINAPI D3DXColorAdjustSaturation(D3DXCOLOR *pout, const D3DXCOLOR *pc, FLOAT s) |
| { |
| FLOAT grey; |
| |
| TRACE("pout %p, pc %p, s %f\n", pout, pc, s); |
| |
| grey = pc->r * 0.2125f + pc->g * 0.7154f + pc->b * 0.0721f; |
| pout->r = grey + s * (pc->r - grey); |
| pout->g = grey + s * (pc->g - grey); |
| pout->b = grey + s * (pc->b - grey); |
| pout->a = pc->a; |
| return pout; |
| } |
| |
| /*_________________Misc__________________________*/ |
| |
| FLOAT WINAPI D3DXFresnelTerm(FLOAT costheta, FLOAT refractionindex) |
| { |
| FLOAT a, d, g, result; |
| |
| TRACE("costheta %f, refractionindex %f\n", costheta, refractionindex); |
| |
| g = sqrtf(refractionindex * refractionindex + costheta * costheta - 1.0f); |
| a = g + costheta; |
| d = g - costheta; |
| result = (costheta * a - 1.0f) * (costheta * a - 1.0f) / ((costheta * d + 1.0f) * (costheta * d + 1.0f)) + 1.0f; |
| result *= 0.5f * d * d / (a * a); |
| |
| return result; |
| } |
| |
| /*_________________D3DXMatrix____________________*/ |
| |
| D3DXMATRIX * WINAPI D3DXMatrixAffineTransformation(D3DXMATRIX *out, FLOAT scaling, const D3DXVECTOR3 *rotationcenter, |
| const D3DXQUATERNION *rotation, const D3DXVECTOR3 *translation) |
| { |
| TRACE("out %p, scaling %f, rotationcenter %p, rotation %p, translation %p\n", |
| out, scaling, rotationcenter, rotation, translation); |
| |
| D3DXMatrixIdentity(out); |
| |
| if (rotation) |
| { |
| FLOAT temp00, temp01, temp02, temp10, temp11, temp12, temp20, temp21, temp22; |
| |
| temp00 = 1.0f - 2.0f * (rotation->y * rotation->y + rotation->z * rotation->z); |
| temp01 = 2.0f * (rotation->x * rotation->y + rotation->z * rotation->w); |
| temp02 = 2.0f * (rotation->x * rotation->z - rotation->y * rotation->w); |
| temp10 = 2.0f * (rotation->x * rotation->y - rotation->z * rotation->w); |
| temp11 = 1.0f - 2.0f * (rotation->x * rotation->x + rotation->z * rotation->z); |
| temp12 = 2.0f * (rotation->y * rotation->z + rotation->x * rotation->w); |
| temp20 = 2.0f * (rotation->x * rotation->z + rotation->y * rotation->w); |
| temp21 = 2.0f * (rotation->y * rotation->z - rotation->x * rotation->w); |
| temp22 = 1.0f - 2.0f * (rotation->x * rotation->x + rotation->y * rotation->y); |
| |
| out->u.m[0][0] = scaling * temp00; |
| out->u.m[0][1] = scaling * temp01; |
| out->u.m[0][2] = scaling * temp02; |
| out->u.m[1][0] = scaling * temp10; |
| out->u.m[1][1] = scaling * temp11; |
| out->u.m[1][2] = scaling * temp12; |
| out->u.m[2][0] = scaling * temp20; |
| out->u.m[2][1] = scaling * temp21; |
| out->u.m[2][2] = scaling * temp22; |
| |
| if (rotationcenter) |
| { |
| out->u.m[3][0] = rotationcenter->x * (1.0f - temp00) - rotationcenter->y * temp10 |
| - rotationcenter->z * temp20; |
| out->u.m[3][1] = rotationcenter->y * (1.0f - temp11) - rotationcenter->x * temp01 |
| - rotationcenter->z * temp21; |
| out->u.m[3][2] = rotationcenter->z * (1.0f - temp22) - rotationcenter->x * temp02 |
| - rotationcenter->y * temp12; |
| } |
| } |
| else |
| { |
| out->u.m[0][0] = scaling; |
| out->u.m[1][1] = scaling; |
| out->u.m[2][2] = scaling; |
| } |
| |
| if (translation) |
| { |
| out->u.m[3][0] += translation->x; |
| out->u.m[3][1] += translation->y; |
| out->u.m[3][2] += translation->z; |
| } |
| |
| return out; |
| } |
| |
| D3DXMATRIX * WINAPI D3DXMatrixAffineTransformation2D(D3DXMATRIX *out, FLOAT scaling, |
| const D3DXVECTOR2 *rotationcenter, FLOAT rotation, const D3DXVECTOR2 *translation) |
| { |
| FLOAT tmp1, tmp2, s; |
| |
| TRACE("out %p, scaling %f, rotationcenter %p, rotation %f, translation %p\n", |
| out, scaling, rotationcenter, rotation, translation); |
| |
| s = sinf(rotation / 2.0f); |
| tmp1 = 1.0f - 2.0f * s * s; |
| tmp2 = 2.0f * s * cosf(rotation / 2.0f); |
| |
| D3DXMatrixIdentity(out); |
| out->u.m[0][0] = scaling * tmp1; |
| out->u.m[0][1] = scaling * tmp2; |
| out->u.m[1][0] = -scaling * tmp2; |
| out->u.m[1][1] = scaling * tmp1; |
| |
| if (rotationcenter) |
| { |
| FLOAT x, y; |
| |
| x = rotationcenter->x; |
| y = rotationcenter->y; |
| |
| out->u.m[3][0] = y * tmp2 - x * tmp1 + x; |
| out->u.m[3][1] = -x * tmp2 - y * tmp1 + y; |
| } |
| |
| if (translation) |
| { |
| out->u.m[3][0] += translation->x; |
| out->u.m[3][1] += translation->y; |
| } |
| |
| return out; |
| } |
| |
| HRESULT WINAPI D3DXMatrixDecompose(D3DXVECTOR3 *poutscale, D3DXQUATERNION *poutrotation, D3DXVECTOR3 *pouttranslation, const D3DXMATRIX *pm) |
| { |
| D3DXMATRIX normalized; |
| D3DXVECTOR3 vec; |
| |
| TRACE("poutscale %p, poutrotation %p, pouttranslation %p, pm %p\n", poutscale, poutrotation, pouttranslation, pm); |
| |
| /*Compute the scaling part.*/ |
| vec.x=pm->u.m[0][0]; |
| vec.y=pm->u.m[0][1]; |
| vec.z=pm->u.m[0][2]; |
| poutscale->x=D3DXVec3Length(&vec); |
| |
| vec.x=pm->u.m[1][0]; |
| vec.y=pm->u.m[1][1]; |
| vec.z=pm->u.m[1][2]; |
| poutscale->y=D3DXVec3Length(&vec); |
| |
| vec.x=pm->u.m[2][0]; |
| vec.y=pm->u.m[2][1]; |
| vec.z=pm->u.m[2][2]; |
| poutscale->z=D3DXVec3Length(&vec); |
| |
| /*Compute the translation part.*/ |
| pouttranslation->x=pm->u.m[3][0]; |
| pouttranslation->y=pm->u.m[3][1]; |
| pouttranslation->z=pm->u.m[3][2]; |
| |
| /*Let's calculate the rotation now*/ |
| if ( (poutscale->x == 0.0f) || (poutscale->y == 0.0f) || (poutscale->z == 0.0f) ) return D3DERR_INVALIDCALL; |
| |
| normalized.u.m[0][0]=pm->u.m[0][0]/poutscale->x; |
| normalized.u.m[0][1]=pm->u.m[0][1]/poutscale->x; |
| normalized.u.m[0][2]=pm->u.m[0][2]/poutscale->x; |
| normalized.u.m[1][0]=pm->u.m[1][0]/poutscale->y; |
| normalized.u.m[1][1]=pm->u.m[1][1]/poutscale->y; |
| normalized.u.m[1][2]=pm->u.m[1][2]/poutscale->y; |
| normalized.u.m[2][0]=pm->u.m[2][0]/poutscale->z; |
| normalized.u.m[2][1]=pm->u.m[2][1]/poutscale->z; |
| normalized.u.m[2][2]=pm->u.m[2][2]/poutscale->z; |
| |
| D3DXQuaternionRotationMatrix(poutrotation,&normalized); |
| return S_OK; |
| } |
| |
| FLOAT WINAPI D3DXMatrixDeterminant(const D3DXMATRIX *pm) |
| { |
| FLOAT t[3], v[4]; |
| |
| TRACE("pm %p\n", pm); |
| |
| t[0] = pm->u.m[2][2] * pm->u.m[3][3] - pm->u.m[2][3] * pm->u.m[3][2]; |
| t[1] = pm->u.m[1][2] * pm->u.m[3][3] - pm->u.m[1][3] * pm->u.m[3][2]; |
| t[2] = pm->u.m[1][2] * pm->u.m[2][3] - pm->u.m[1][3] * pm->u.m[2][2]; |
| v[0] = pm->u.m[1][1] * t[0] - pm->u.m[2][1] * t[1] + pm->u.m[3][1] * t[2]; |
| v[1] = -pm->u.m[1][0] * t[0] + pm->u.m[2][0] * t[1] - pm->u.m[3][0] * t[2]; |
| |
| t[0] = pm->u.m[1][0] * pm->u.m[2][1] - pm->u.m[2][0] * pm->u.m[1][1]; |
| t[1] = pm->u.m[1][0] * pm->u.m[3][1] - pm->u.m[3][0] * pm->u.m[1][1]; |
| t[2] = pm->u.m[2][0] * pm->u.m[3][1] - pm->u.m[3][0] * pm->u.m[2][1]; |
| v[2] = pm->u.m[3][3] * t[0] - pm->u.m[2][3] * t[1] + pm->u.m[1][3] * t[2]; |
| v[3] = -pm->u.m[3][2] * t[0] + pm->u.m[2][2] * t[1] - pm->u.m[1][2] * t[2]; |
| |
| return pm->u.m[0][0] * v[0] + pm->u.m[0][1] * v[1] + |
| pm->u.m[0][2] * v[2] + pm->u.m[0][3] * v[3]; |
| } |
| |
| D3DXMATRIX* WINAPI D3DXMatrixInverse(D3DXMATRIX *pout, FLOAT *pdeterminant, const D3DXMATRIX *pm) |
| { |
| FLOAT det, t[3], v[16]; |
| UINT i, j; |
| |
| TRACE("pout %p, pdeterminant %p, pm %p\n", pout, pdeterminant, pm); |
| |
| t[0] = pm->u.m[2][2] * pm->u.m[3][3] - pm->u.m[2][3] * pm->u.m[3][2]; |
| t[1] = pm->u.m[1][2] * pm->u.m[3][3] - pm->u.m[1][3] * pm->u.m[3][2]; |
| t[2] = pm->u.m[1][2] * pm->u.m[2][3] - pm->u.m[1][3] * pm->u.m[2][2]; |
| v[0] = pm->u.m[1][1] * t[0] - pm->u.m[2][1] * t[1] + pm->u.m[3][1] * t[2]; |
| v[4] = -pm->u.m[1][0] * t[0] + pm->u.m[2][0] * t[1] - pm->u.m[3][0] * t[2]; |
| |
| t[0] = pm->u.m[1][0] * pm->u.m[2][1] - pm->u.m[2][0] * pm->u.m[1][1]; |
| t[1] = pm->u.m[1][0] * pm->u.m[3][1] - pm->u.m[3][0] * pm->u.m[1][1]; |
| t[2] = pm->u.m[2][0] * pm->u.m[3][1] - pm->u.m[3][0] * pm->u.m[2][1]; |
| v[8] = pm->u.m[3][3] * t[0] - pm->u.m[2][3] * t[1] + pm->u.m[1][3] * t[2]; |
| v[12] = -pm->u.m[3][2] * t[0] + pm->u.m[2][2] * t[1] - pm->u.m[1][2] * t[2]; |
| |
| det = pm->u.m[0][0] * v[0] + pm->u.m[0][1] * v[4] + |
| pm->u.m[0][2] * v[8] + pm->u.m[0][3] * v[12]; |
| if (det == 0.0f) |
| return NULL; |
| if (pdeterminant) |
| *pdeterminant = det; |
| |
| t[0] = pm->u.m[2][2] * pm->u.m[3][3] - pm->u.m[2][3] * pm->u.m[3][2]; |
| t[1] = pm->u.m[0][2] * pm->u.m[3][3] - pm->u.m[0][3] * pm->u.m[3][2]; |
| t[2] = pm->u.m[0][2] * pm->u.m[2][3] - pm->u.m[0][3] * pm->u.m[2][2]; |
| v[1] = -pm->u.m[0][1] * t[0] + pm->u.m[2][1] * t[1] - pm->u.m[3][1] * t[2]; |
| v[5] = pm->u.m[0][0] * t[0] - pm->u.m[2][0] * t[1] + pm->u.m[3][0] * t[2]; |
| |
| t[0] = pm->u.m[0][0] * pm->u.m[2][1] - pm->u.m[2][0] * pm->u.m[0][1]; |
| t[1] = pm->u.m[3][0] * pm->u.m[0][1] - pm->u.m[0][0] * pm->u.m[3][1]; |
| t[2] = pm->u.m[2][0] * pm->u.m[3][1] - pm->u.m[3][0] * pm->u.m[2][1]; |
| v[9] = -pm->u.m[3][3] * t[0] - pm->u.m[2][3] * t[1]- pm->u.m[0][3] * t[2]; |
| v[13] = pm->u.m[3][2] * t[0] + pm->u.m[2][2] * t[1] + pm->u.m[0][2] * t[2]; |
| |
| t[0] = pm->u.m[1][2] * pm->u.m[3][3] - pm->u.m[1][3] * pm->u.m[3][2]; |
| t[1] = pm->u.m[0][2] * pm->u.m[3][3] - pm->u.m[0][3] * pm->u.m[3][2]; |
| t[2] = pm->u.m[0][2] * pm->u.m[1][3] - pm->u.m[0][3] * pm->u.m[1][2]; |
| v[2] = pm->u.m[0][1] * t[0] - pm->u.m[1][1] * t[1] + pm->u.m[3][1] * t[2]; |
| v[6] = -pm->u.m[0][0] * t[0] + pm->u.m[1][0] * t[1] - pm->u.m[3][0] * t[2]; |
| |
| t[0] = pm->u.m[0][0] * pm->u.m[1][1] - pm->u.m[1][0] * pm->u.m[0][1]; |
| t[1] = pm->u.m[3][0] * pm->u.m[0][1] - pm->u.m[0][0] * pm->u.m[3][1]; |
| t[2] = pm->u.m[1][0] * pm->u.m[3][1] - pm->u.m[3][0] * pm->u.m[1][1]; |
| v[10] = pm->u.m[3][3] * t[0] + pm->u.m[1][3] * t[1] + pm->u.m[0][3] * t[2]; |
| v[14] = -pm->u.m[3][2] * t[0] - pm->u.m[1][2] * t[1] - pm->u.m[0][2] * t[2]; |
| |
| t[0] = pm->u.m[1][2] * pm->u.m[2][3] - pm->u.m[1][3] * pm->u.m[2][2]; |
| t[1] = pm->u.m[0][2] * pm->u.m[2][3] - pm->u.m[0][3] * pm->u.m[2][2]; |
| t[2] = pm->u.m[0][2] * pm->u.m[1][3] - pm->u.m[0][3] * pm->u.m[1][2]; |
| v[3] = -pm->u.m[0][1] * t[0] + pm->u.m[1][1] * t[1] - pm->u.m[2][1] * t[2]; |
| v[7] = pm->u.m[0][0] * t[0] - pm->u.m[1][0] * t[1] + pm->u.m[2][0] * t[2]; |
| |
| 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]) + |
| 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]) - |
| 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]); |
| |
| 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 *out, const D3DXVECTOR3 *eye, const D3DXVECTOR3 *at, |
| const D3DXVECTOR3 *up) |
| { |
| D3DXVECTOR3 right, upn, vec; |
| |
| TRACE("out %p, eye %p, at %p, up %p\n", out, eye, at, up); |
| |
| D3DXVec3Subtract(&vec, at, eye); |
| D3DXVec3Normalize(&vec, &vec); |
| D3DXVec3Cross(&right, up, &vec); |
| D3DXVec3Cross(&upn, &vec, &right); |
| D3DXVec3Normalize(&right, &right); |
| D3DXVec3Normalize(&upn, &upn); |
| out->u.m[0][0] = right.x; |
| out->u.m[1][0] = right.y; |
| out->u.m[2][0] = right.z; |
| out->u.m[3][0] = -D3DXVec3Dot(&right, eye); |
| out->u.m[0][1] = upn.x; |
| out->u.m[1][1] = upn.y; |
| out->u.m[2][1] = upn.z; |
| out->u.m[3][1] = -D3DXVec3Dot(&upn, eye); |
| out->u.m[0][2] = vec.x; |
| out->u.m[1][2] = vec.y; |
| out->u.m[2][2] = vec.z; |
| out->u.m[3][2] = -D3DXVec3Dot(&vec, eye); |
| 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 D3DXMatrixLookAtRH(D3DXMATRIX *out, const D3DXVECTOR3 *eye, const D3DXVECTOR3 *at, |
| const D3DXVECTOR3 *up) |
| { |
| D3DXVECTOR3 right, upn, vec; |
| |
| TRACE("out %p, eye %p, at %p, up %p\n", out, eye, at, up); |
| |
| D3DXVec3Subtract(&vec, at, eye); |
| D3DXVec3Normalize(&vec, &vec); |
| D3DXVec3Cross(&right, up, &vec); |
| D3DXVec3Cross(&upn, &vec, &right); |
| D3DXVec3Normalize(&right, &right); |
| D3DXVec3Normalize(&upn, &upn); |
| out->u.m[0][0] = -right.x; |
| out->u.m[1][0] = -right.y; |
| out->u.m[2][0] = -right.z; |
| out->u.m[3][0] = D3DXVec3Dot(&right, eye); |
| out->u.m[0][1] = upn.x; |
| out->u.m[1][1] = upn.y; |
| out->u.m[2][1] = upn.z; |
| out->u.m[3][1] = -D3DXVec3Dot(&upn, eye); |
| out->u.m[0][2] = -vec.x; |
| out->u.m[1][2] = -vec.y; |
| out->u.m[2][2] = -vec.z; |
| out->u.m[3][2] = D3DXVec3Dot(&vec, eye); |
| 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 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 * tanf(fovy/2.0f)); |
| pout->u.m[1][1] = 1.0f / tanf(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 * tanf(fovy/2.0f)); |
| pout->u.m[1][1] = 1.0f / tanf(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] = cosf(angle); |
| pout->u.m[2][2] = cosf(angle); |
| pout->u.m[1][2] = sinf(angle); |
| pout->u.m[2][1] = -sinf(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] = cosf(angle); |
| pout->u.m[2][2] = cosf(angle); |
| pout->u.m[0][2] = -sinf(angle); |
| pout->u.m[2][0] = sinf(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] = cosf(angle); |
| pout->u.m[1][1] = cosf(angle); |
| pout->u.m[0][1] = sinf(angle); |
| pout->u.m[1][0] = -sinf(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=cosf(rotation/2.0f); |
| rot.x=0.0f; |
| rot.y=0.0f; |
| rot.z=sinf(rotation/2.0f); |
| |
| sca_rot.w=cosf(scalingrotation/2.0f); |
| sca_rot.x=0.0f; |
| sca_rot.y=0.0f; |
| sca_rot.z=sinf(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 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 |
| }; |
| |
| HRESULT WINAPI D3DXCreateMatrixStack(DWORD flags, ID3DXMatrixStack **stack) |
| { |
| struct ID3DXMatrixStackImpl *object; |
| |
| TRACE("flags %#x, stack %p.\n", flags, stack); |
| |
| if (!(object = HeapAlloc(GetProcessHeap(), HEAP_ZERO_MEMORY, sizeof(*object)))) |
| { |
| *stack = NULL; |
| return E_OUTOFMEMORY; |
| } |
| object->ID3DXMatrixStack_iface.lpVtbl = &ID3DXMatrixStack_Vtbl; |
| object->ref = 1; |
| |
| if (!(object->stack = HeapAlloc(GetProcessHeap(), 0, INITIAL_STACK_SIZE * sizeof(*object->stack)))) |
| { |
| HeapFree(GetProcessHeap(), 0, object); |
| *stack = NULL; |
| return E_OUTOFMEMORY; |
| } |
| |
| object->current = 0; |
| object->stack_size = INITIAL_STACK_SIZE; |
| D3DXMatrixIdentity(&object->stack[0]); |
| |
| TRACE("Created matrix stack %p.\n", object); |
| |
| *stack = &object->ID3DXMatrixStack_iface; |
| return D3D_OK; |
| } |
| |
| /*_________________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) |
| { |
| FLOAT norm; |
| |
| TRACE("pout %p, pq %p\n", pout, pq); |
| |
| norm = D3DXQuaternionLengthSq(pq); |
| |
| pout->x = -pq->x / norm; |
| pout->y = -pq->y / norm; |
| pout->z = -pq->z / norm; |
| pout->w = pq->w / norm; |
| return pout; |
| } |
| |
| 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; |
| D3DXQUATERNION aout, cout; |
| |
| TRACE("paout %p, pbout %p, pcout %p, pq0 %p, pq1 %p, pq2 %p, pq3 %p\n", paout, pbout, pcout, pq0, pq1, pq2, pq3); |
| |
| zero.x = 0.0f; |
| zero.y = 0.0f; |
| zero.z = 0.0f; |
| zero.w = 0.0f; |
| |
| if (D3DXQuaternionDot(pq0, pq1) < 0.0f) |
| temp2 = add_diff(&zero, pq0, -1.0f); |
| else |
| temp2 = *pq0; |
| |
| if (D3DXQuaternionDot(pq1, pq2) < 0.0f) |
| cout = add_diff(&zero, pq2, -1.0f); |
| else |
| cout = *pq2; |
| |
| if (D3DXQuaternionDot(&cout, pq3) < 0.0f) |
| temp3 = add_diff(&zero, pq3, -1.0f); |
| else |
| temp3 = *pq3; |
| |
| D3DXQuaternionInverse(&temp1, pq1); |
| D3DXQuaternionMultiply(&temp2, &temp1, &temp2); |
| D3DXQuaternionLn(&temp2, &temp2); |
| D3DXQuaternionMultiply(&q, &temp1, &cout); |
| D3DXQuaternionLn(&q, &q); |
| temp1 = add_diff(&temp2, &q, 1.0f); |
| temp1.x *= -0.25f; |
| temp1.y *= -0.25f; |
| temp1.z *= -0.25f; |
| temp1.w *= -0.25f; |
| D3DXQuaternionExp(&temp1, &temp1); |
| D3DXQuaternionMultiply(&aout, pq1, &temp1); |
| |
| D3DXQuaternionInverse(&temp1, &cout); |
| D3DXQuaternionMultiply(&temp2, &temp1, pq1); |
| D3DXQuaternionLn(&temp2, &temp2); |
| D3DXQuaternionMultiply(&q, &temp1, &temp3); |
| D3DXQuaternionLn(&q, &q); |
| temp1 = add_diff(&temp2, &q, 1.0f); |
| temp1.x *= -0.25f; |
| temp1.y *= -0.25f; |
| temp1.z *= -0.25f; |
| temp1.w *= -0.25f; |
| D3DXQuaternionExp(&temp1, &temp1); |
| D3DXQuaternionMultiply(pbout, &cout, &temp1); |
| *paout = aout; |
| *pcout = cout; |
| } |
| |
| void WINAPI D3DXQuaternionToAxisAngle(const D3DXQUATERNION *pq, D3DXVECTOR3 *paxis, FLOAT *pangle) |
| { |
| TRACE("pq %p, paxis %p, pangle %p\n", pq, paxis, pangle); |
| |
| if (paxis) |
| { |
| paxis->x = pq->x; |
| paxis->y = pq->y; |
| paxis->z = pq->z; |
| } |
| if (pangle) |
| *pangle = 2.0f * acosf(pq->w); |
| } |
| |
| /*_________________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) |
| { |
| 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[3][0]; |
| out.y = pm->u.m[0][1] * pv->x + pm->u.m[1][1] * pv->y + pm->u.m[3][1]; |
| out.z = pm->u.m[0][2] * pv->x + pm->u.m[1][2] * pv->y + pm->u.m[3][2]; |
| out.w = pm->u.m[0][3] * pv->x + pm->u.m[1][3] * pv->y + pm->u.m[3][3]; |
| *pout = out; |
| 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\n", 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) |
| { |
| 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]; |
| 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]; |
| 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]; |
| 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]; |
| *pout = out; |
| 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 = fabsf(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 < (float)(1u << 10)) |
| { |
| do |
| { |
| tmp *= 2.0f; |
| exp--; |
| } while (tmp < (float)(1u << 10)); |
| } |
| else if (tmp >= (float)(1u << 11)) |
| { |
| do |
| { |
| tmp /= 2.0f; |
| exp++; |
| } while (tmp >= (float)(1u << 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 * (1u << 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. */ |
| 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, UINT 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 / sqrtf(D3DX_PI); |
| out[1] = -0.5f / sqrtf(D3DX_PI / 3.0f) * dir->y; |
| out[2] = 0.5f / sqrtf(D3DX_PI / 3.0f) * dir->z; |
| out[3] = -0.5f / sqrtf(D3DX_PI / 3.0f) * dir->x; |
| if (order == 2) |
| return out; |
| |
| out[4] = 0.5f / sqrtf(D3DX_PI / 15.0f) * dirxy; |
| out[5] = -0.5f / sqrtf(D3DX_PI / 15.0f) * diryz; |
| out[6] = 0.25f / sqrtf(D3DX_PI / 5.0f) * (3.0f * dirzz - 1.0f); |
| out[7] = -0.5f / sqrtf(D3DX_PI / 15.0f) * dirxz; |
| out[8] = 0.25f / sqrtf(D3DX_PI / 15.0f) * (dirxx - diryy); |
| if (order == 3) |
| return out; |
| |
| out[9] = -sqrtf(70.0f / D3DX_PI) / 8.0f * dir->y * (3.0f * dirxx - diryy); |
| out[10] = sqrtf(105.0f / D3DX_PI) / 2.0f * dirxy * dir->z; |
| out[11] = -sqrtf(42.0f / D3DX_PI) / 8.0f * dir->y * (-1.0f + 5.0f * dirzz); |
| out[12] = sqrtf(7.0f / D3DX_PI) / 4.0f * dir->z * (5.0f * dirzz - 3.0f); |
| out[13] = sqrtf(42.0f / D3DX_PI) / 8.0f * dir->x * (1.0f - 5.0f * dirzz); |
| out[14] = sqrtf(105.0f / D3DX_PI) / 4.0f * dir->z * (dirxx - diryy); |
| out[15] = -sqrtf(70.0f / D3DX_PI) / 8.0f * dir->x * (dirxx - 3.0f * diryy); |
| if (order == 4) |
| return out; |
| |
| out[16] = 0.75f * sqrtf(35.0f / D3DX_PI) * dirxy * (dirxx - diryy); |
| out[17] = 3.0f * dir->z * out[9]; |
| out[18] = 0.75f * sqrtf(5.0f / D3DX_PI) * dirxy * (7.0f * dirzz - 1.0f); |
| out[19] = 0.375f * sqrtf(10.0f / D3DX_PI) * diryz * (3.0f - 7.0f * dirzz); |
| out[20] = 3.0f / (16.0f * sqrtf(D3DX_PI)) * (35.0f * dirzzzz - 30.f * dirzz + 3.0f); |
| out[21] = 0.375f * sqrtf(10.0f / D3DX_PI) * dirxz * (3.0f - 7.0f * dirzz); |
| out[22] = 0.375f * sqrtf(5.0f / D3DX_PI) * (dirxx - diryy) * (7.0f * dirzz - 1.0f); |
| out[23] = 3.0f * dir->z * out[15]; |
| out[24] = 3.0f / 16.0f * sqrtf(35.0f / D3DX_PI) * (dirxxxx - 6.0f * dirxyxy + diryyyy); |
| if (order == 5) |
| return out; |
| |
| out[25] = -3.0f/ 32.0f * sqrtf(154.0f / D3DX_PI) * dir->y * (5.0f * dirxxxx - 10.0f * dirxyxy + diryyyy); |
| out[26] = 0.75f * sqrtf(385.0f / D3DX_PI) * dirxy * dir->z * (dirxx - diryy); |
| out[27] = sqrtf(770.0f / D3DX_PI) / 32.0f * dir->y * (3.0f * dirxx - diryy) * (1.0f - 9.0f * dirzz); |
| out[28] = sqrtf(1155.0f / D3DX_PI) / 4.0f * dirxy * dir->z * (3.0f * dirzz - 1.0f); |
| out[29] = sqrtf(165.0f / D3DX_PI) / 16.0f * dir->y * (14.0f * dirzz - 21.0f * dirzzzz - 1.0f); |
| out[30] = sqrtf(11.0f / D3DX_PI) / 16.0f * dir->z * (63.0f * dirzzzz - 70.0f * dirzz + 15.0f); |
| out[31] = sqrtf(165.0f / D3DX_PI) / 16.0f * dir->x * (14.0f * dirzz - 21.0f * dirzzzz - 1.0f); |
| out[32] = sqrtf(1155.0f / D3DX_PI) / 8.0f * dir->z * (dirxx - diryy) * (3.0f * dirzz - 1.0f); |
| out[33] = sqrtf(770.0f / D3DX_PI) / 32.0f * dir->x * (dirxx - 3.0f * diryy) * (1.0f - 9.0f * dirzz); |
| out[34] = 3.0f / 16.0f * sqrtf(385.0f / D3DX_PI) * dir->z * (dirxxxx - 6.0f * dirxyxy + diryyyy); |
| out[35] = -3.0f/ 32.0f * sqrtf(154.0f / D3DX_PI) * dir->x * (dirxxxx - 10.0f * dirxyxy + 5.0f * diryyyy); |
| |
| return out; |
| } |
| |
| 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] + 0.09011186f * 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 = 0.28209480f * 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] + 0.09011186f * a[6] + 0.15607835f * a[8]; |
| tb = 0.28209479f * b[0] + 0.09011186f * 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 * 0.7954951525f * 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; |
| } |