/* Create angles in 3D from up vector (ignoring objects relative heading). (up vector must be normalized!)*/ void UpVectorToAngles(const FLOAT3D &vY, ANGLE3D &a3dAngles) { // create any front vector FLOAT3D vZ; if (Abs(vY(2))>0.5f) { vZ = FLOAT3D(1,0,0)*vY; } else { vZ = FLOAT3D(0,1,0)*vY; } vZ.Normalize(); // side vector is cross product FLOAT3D vX = vY*vZ; vX.Normalize(); // create the rotation matrix FLOATmatrix3D m; m(1,1) = vX(1); m(1,2) = vY(1); m(1,3) = vZ(1); m(2,1) = vX(2); m(2,2) = vY(2); m(2,3) = vZ(2); m(3,1) = vX(3); m(3,2) = vY(3); m(3,3) = vZ(3); // decompose the matrix without snapping DecomposeRotationMatrixNoSnap(a3dAngles, m); }
// transform model to view space static void PrepareView( CRenderModel &rm) { // prepare projections const FLOATmatrix3D &mViewer = _aprProjection->pr_ViewerRotationMatrix; const FLOAT3D &vViewer = _aprProjection->pr_vViewerPosition; FLOATmatrix3D &m = rm.rm_mObjectToView; // if half face forward if( rm.rm_pmdModelData->md_Flags&MF_HALF_FACE_FORWARD) { // get the y-axis vector of object rotation FLOAT3D vY(rm.rm_mObjectRotation(1,2), rm.rm_mObjectRotation(2,2), rm.rm_mObjectRotation(3,2)); // find z axis of viewer FLOAT3D vViewerZ( mViewer(3,1), mViewer(3,2), mViewer(3,3)); // calculate x and z axis vectors to make object head towards viewer FLOAT3D vX = (-vViewerZ)*vY; vX.Normalize(); FLOAT3D vZ = vY*vX; // compose the rotation matrix back from those angles m(1,1) = vX(1); m(1,2) = vY(1); m(1,3) = vZ(1); m(2,1) = vX(2); m(2,2) = vY(2); m(2,3) = vZ(2); m(3,1) = vX(3); m(3,2) = vY(3); m(3,3) = vZ(3); // add viewer rotation to that m = mViewer * m; } // if full face forward else if( rm.rm_pmdModelData->md_Flags&MF_FACE_FORWARD) { // use just object banking for rotation FLOAT fSinP = -rm.rm_mObjectRotation(2,3); FLOAT fCosP = Sqrt(1-fSinP*fSinP); FLOAT fSinB, fCosB; if( fCosP>0.001f) { const FLOAT f1oCosP = 1.0f/fCosP; fSinB = rm.rm_mObjectRotation(2,1)*f1oCosP; fCosB = rm.rm_mObjectRotation(2,2)*f1oCosP; } else { fSinB = 0.0f; fCosB = 1.0f; } m(1,1) = +fCosB; m(1,2) = -fSinB; m(1,3) = 0; m(2,1) = +fSinB; m(2,2) = +fCosB; m(2,3) = 0; m(3,1) = 0; m(3,2) = 0; m(3,3) = 1; } // if normal model else { // use viewer and object orientation m = mViewer * rm.rm_mObjectRotation; } // find translation vector rm.rm_vObjectToView = rm.rm_vObjectPosition - vViewer; rm.rm_vObjectToView *= mViewer; }
// Create render model structure for rendering an attached model BOOL CModelObject::CreateAttachment( CRenderModel &rmMain, CAttachmentModelObject &amo) { _pfModelProfile.StartTimer( CModelProfile::PTI_CREATEATTACHMENT); _pfModelProfile.IncrementTimerAveragingCounter( CModelProfile::PTI_CREATEATTACHMENT); CRenderModel &rmAttached = *amo.amo_prm; rmAttached.rm_ulFlags = rmMain.rm_ulFlags&(RMF_FOG|RMF_HAZE|RMF_WEAPON) | RMF_ATTACHMENT; // get the position rmMain.rm_pmdModelData->md_aampAttachedPosition.Lock(); const CAttachedModelPosition & = rmMain.rm_pmdModelData->md_aampAttachedPosition[amo.amo_iAttachedPosition]; rmMain.rm_pmdModelData->md_aampAttachedPosition.Unlock(); // copy common values rmAttached.rm_vLightDirection = rmMain.rm_vLightDirection; rmAttached.rm_fDistanceFactor = rmMain.rm_fDistanceFactor; rmAttached.rm_colLight = rmMain.rm_colLight; rmAttached.rm_colAmbient = rmMain.rm_colAmbient; rmAttached.rm_colBlend = rmMain.rm_colBlend; // unpack the reference vertices FLOAT3D vCenter, vFront, vUp; const INDEX iCenter = amp.amp_iCenterVertex; const INDEX iFront = amp.amp_iFrontVertex; const INDEX iUp = amp.amp_iUpVertex; UnpackVertex( rmMain, iCenter, vCenter); UnpackVertex( rmMain, iFront, vFront); UnpackVertex( rmMain, iUp, vUp); // create front and up direction vectors FLOAT3D vY = vUp - vCenter; FLOAT3D vZ = vCenter - vFront; // project center and directions from object to absolute space const FLOATmatrix3D &mO2A = rmMain.rm_mObjectRotation; const FLOAT3D &vO2A = rmMain.rm_vObjectPosition; vCenter = vCenter*mO2A +vO2A; vY = vY *mO2A; vZ = vZ *mO2A; // make a rotation matrix from the direction vectors FLOAT3D vX = vY*vZ; vY = vZ*vX; vX.Normalize(); vY.Normalize(); vZ.Normalize(); FLOATmatrix3D mOrientation; mOrientation(1,1) = vX(1); mOrientation(1,2) = vY(1); mOrientation(1,3) = vZ(1); mOrientation(2,1) = vX(2); mOrientation(2,2) = vY(2); mOrientation(2,3) = vZ(2); mOrientation(3,1) = vX(3); mOrientation(3,2) = vY(3); mOrientation(3,3) = vZ(3); // adjust for relative placement of the attachment FLOAT3D vOffset; FLOATmatrix3D mRelative; MakeRotationMatrixFast( mRelative, amo.amo_plRelative.pl_OrientationAngle); vOffset(1) = amo.amo_plRelative.pl_PositionVector(1) * mo_Stretch(1); vOffset(2) = amo.amo_plRelative.pl_PositionVector(2) * mo_Stretch(2); vOffset(3) = amo.amo_plRelative.pl_PositionVector(3) * mo_Stretch(3); FLOAT3D vO = vCenter + vOffset * mOrientation; mOrientation *= mRelative; // convert absolute to relative orientation rmAttached.SetObjectPlacement( vO, mOrientation); // done here if clipping optimizations are not allowed extern INDEX gap_iOptimizeClipping; if( gap_iOptimizeClipping<1) { gap_iOptimizeClipping = 0; _pfModelProfile.StopTimer( CModelProfile::PTI_CREATEATTACHMENT); return TRUE; } // test attachment to frustum and/or mirror FLOAT3D vHandle; _aprProjection->PreClip( vO, vHandle); CalculateBoundingBox( &amo.amo_moModelObject, rmAttached); // compose view-space bounding box and sphere of an attacment const FLOAT fR = Max( rmAttached.rm_vObjectMinBB.Length(), rmAttached.rm_vObjectMaxBB.Length()); const FLOATobbox3D boxEntity( FLOATaabbox3D(rmAttached.rm_vObjectMinBB, rmAttached.rm_vObjectMaxBB), vHandle, _aprProjection->pr_ViewerRotationMatrix*mOrientation); // frustum test? if( gap_iOptimizeClipping>1) { // test sphere against frustrum INDEX iFrustumTest = _aprProjection->TestSphereToFrustum(vHandle,fR); if( iFrustumTest==0) { // test box if sphere cut one of frustum planes iFrustumTest = _aprProjection->TestBoxToFrustum(boxEntity); } // mark if attachment is fully inside frustum if( iFrustumTest>0) rmAttached.rm_ulFlags |= RMF_INSIDE; else if( iFrustumTest<0) { // if completely outside of frustum // signal skip rendering only if doesn't have any attachments _pfModelProfile.StopTimer( CModelProfile::PTI_CREATEATTACHMENT); return !amo.amo_moModelObject.mo_lhAttachments.IsEmpty(); } } // test sphere against mirror/warp plane (if any) if( _aprProjection->pr_bMirror || _aprProjection->pr_bWarp) { INDEX iMirrorPlaneTest; const FLOAT fPlaneDistance = _aprProjection->pr_plMirrorView.PointDistance(vHandle); if( fPlaneDistance < -fR) iMirrorPlaneTest = -1; else if( fPlaneDistance > +fR) iMirrorPlaneTest = +1; else { // test box if sphere cut mirror plane iMirrorPlaneTest = boxEntity.TestAgainstPlane(_aprProjection->pr_plMirrorView); } // mark if attachment is fully inside mirror if( iMirrorPlaneTest>0) rmAttached.rm_ulFlags |= RMF_INMIRROR; else if( iMirrorPlaneTest<0) { // if completely outside mirror // signal skip rendering only if doesn't have any attachments _pfModelProfile.StopTimer( CModelProfile::PTI_CREATEATTACHMENT); return !amo.amo_moModelObject.mo_lhAttachments.IsEmpty(); } } // all done _pfModelProfile.StopTimer( CModelProfile::PTI_CREATEATTACHMENT); return TRUE; }
/* * Prepare for projecting. */ void CPerspectiveProjection3D::Prepare(void) { FLOATmatrix3D t3dObjectStretch; // matrix for object stretch FLOATmatrix3D t3dObjectRotation; // matrix for object angles // calc. matrices for viewer and object angles and stretch MakeRotationMatrixFast( t3dObjectRotation, pr_ObjectPlacement.pl_OrientationAngle); MakeInverseRotationMatrixFast( pr_ViewerRotationMatrix, pr_ViewerPlacement.pl_OrientationAngle); t3dObjectStretch.Diagonal(pr_ObjectStretch); pr_vViewerPosition = pr_ViewerPlacement.pl_PositionVector; BOOL bXInverted = pr_ObjectStretch(1)<0; BOOL bYInverted = pr_ObjectStretch(2)<0; BOOL bZInverted = pr_ObjectStretch(3)<0; pr_bInverted = (bXInverted != bYInverted) != bZInverted; // if the projection is mirrored if (pr_bMirror) { // reflect viewer ReflectPositionVectorByPlane(pr_plMirror, pr_vViewerPosition); ReflectRotationMatrixByPlane_rows(pr_plMirror, pr_ViewerRotationMatrix); // get mirror plane in view space pr_plMirrorView = pr_plMirror; pr_plMirrorView -= pr_vViewerPosition; pr_plMirrorView *= pr_ViewerRotationMatrix; // invert inversion pr_bInverted = !pr_bInverted; } else if (pr_bWarp) { // get mirror plane in view space pr_plMirrorView = pr_plMirror; } // if the object is face-forward if (pr_bFaceForward) { // if it turns only heading if (pr_bHalfFaceForward) { // get the y-axis vector of object rotation FLOAT3D vY(t3dObjectRotation(1,2), t3dObjectRotation(2,2), t3dObjectRotation(3,2)); // find z axis of viewer FLOAT3D vViewerZ( pr_ViewerRotationMatrix(3,1), pr_ViewerRotationMatrix(3,2), pr_ViewerRotationMatrix(3,3)); // calculate x and z axis vectors to make object head towards viewer FLOAT3D vX = (-vViewerZ)*vY; vX.Normalize(); FLOAT3D vZ = vY*vX; // compose the rotation matrix back from those angles t3dObjectRotation(1,1) = vX(1); t3dObjectRotation(1,2) = vY(1); t3dObjectRotation(1,3) = vZ(1); t3dObjectRotation(2,1) = vX(2); t3dObjectRotation(2,2) = vY(2); t3dObjectRotation(2,3) = vZ(2); t3dObjectRotation(3,1) = vX(3); t3dObjectRotation(3,2) = vY(3); t3dObjectRotation(3,3) = vZ(3); // first apply object stretch then object rotation and then viewer rotation pr_mDirectionRotation = pr_ViewerRotationMatrix*t3dObjectRotation; pr_RotationMatrix = pr_mDirectionRotation*t3dObjectStretch; // if it is fully face forward } else { // apply object stretch and banking only FLOATmatrix3D mBanking; MakeRotationMatrixFast( mBanking, ANGLE3D(0,0, pr_ObjectPlacement.pl_OrientationAngle(3))); pr_mDirectionRotation = mBanking; pr_RotationMatrix = mBanking*t3dObjectStretch; } } else { // first apply object stretch then object rotation and then viewer rotation pr_mDirectionRotation = pr_ViewerRotationMatrix*t3dObjectRotation; pr_RotationMatrix = pr_mDirectionRotation*t3dObjectStretch; } // calc. offset of object from viewer pr_TranslationVector = pr_ObjectPlacement.pl_PositionVector - pr_vViewerPosition; // rotate offset only by viewer angles pr_TranslationVector = pr_TranslationVector*pr_ViewerRotationMatrix; // transform handle from object space to viewer space and add it to the offset pr_TranslationVector -= pr_vObjectHandle*pr_RotationMatrix; FLOAT2D vMin, vMax; // if using a shadow projection if (ppr_fMetersPerPixel>0) { // caclulate factors FLOAT fFactor = ppr_fViewerDistance/ppr_fMetersPerPixel; ppr_PerspectiveRatios(1) = -fFactor; ppr_PerspectiveRatios(2) = -fFactor; pr_ScreenCenter = -pr_ScreenBBox.Min(); vMin = pr_ScreenBBox.Min(); vMax = pr_ScreenBBox.Max(); // if using normal projection } else if (ppr_boxSubScreen.IsEmpty()) { // calculate perspective constants FLOAT2D v2dScreenSize = pr_ScreenBBox.Size(); pr_ScreenCenter = pr_ScreenBBox.Center(); /* calculate FOVHeight from FOVWidth by formula: halfanglej = atan( tan(halfanglei)*jsize*aspect/isize ) */ ANGLE aHalfI = ppr_FOVWidth/2; ANGLE aHalfJ = ATan(TanFast(aHalfI)*v2dScreenSize(2)*pr_AspectRatio/v2dScreenSize(1)); /* calc. perspective ratios by formulae: xratio = isize/(2*tan(anglei/2)) yratio = jsize/(2*tan(anglej/2)) sign is negative since viewer is looking down the -z axis */ ppr_PerspectiveRatios(1) = -v2dScreenSize(1)/(2.0f*TanFast(aHalfI))*pr_fViewStretch; ppr_PerspectiveRatios(2) = -v2dScreenSize(2)/(2.0f*TanFast(aHalfJ))*pr_fViewStretch; vMin = pr_ScreenBBox.Min()-pr_ScreenCenter; vMax = pr_ScreenBBox.Max()-pr_ScreenCenter; // if using sub-drawport projection } else { // calculate perspective constants FLOAT2D v2dScreenSize = pr_ScreenBBox.Size(); pr_ScreenCenter = pr_ScreenBBox.Center(); /* calculate FOVHeight from FOVWidth by formula: halfanglej = atan( tan(halfanglei)*jsize*aspect/isize ) */ ANGLE aHalfI = ppr_FOVWidth/2; ANGLE aHalfJ = ATan(TanFast(aHalfI)*v2dScreenSize(2)*pr_AspectRatio/v2dScreenSize(1)); /* calc. perspective ratios by formulae: xratio = isize/(2*tan(anglei/2)) yratio = jsize/(2*tan(anglej/2)) sign is negative since viewer is looking down the -z axis */ ppr_PerspectiveRatios(1) = -v2dScreenSize(1)/(2.0f*TanFast(aHalfI))*pr_fViewStretch; ppr_PerspectiveRatios(2) = -v2dScreenSize(2)/(2.0f*TanFast(aHalfJ))*pr_fViewStretch; vMin = ppr_boxSubScreen.Min()-pr_ScreenCenter; vMax = ppr_boxSubScreen.Max()-pr_ScreenCenter; pr_ScreenCenter -= ppr_boxSubScreen.Min(); } // find factors for left, right, up and down clipping FLOAT fMinI = vMin(1); FLOAT fMinJ = vMin(2); FLOAT fMaxI = vMax(1); FLOAT fMaxJ = vMax(2); FLOAT fRatioX = ppr_PerspectiveRatios(1); FLOAT fRatioY = ppr_PerspectiveRatios(2); #define MySgn(x) ((x)>=0?1:-1) FLOAT fDZ = -1.0f; FLOAT fDXL = fDZ*fMinI/fRatioX; FLOAT fDXR = fDZ*fMaxI/fRatioX; FLOAT fDYU = -fDZ*fMinJ/fRatioY; FLOAT fDYD = -fDZ*fMaxJ/fRatioY; FLOAT fNLX = -fDZ; FLOAT fNLZ = +fDXL; FLOAT fOoNL = 1.0f/(FLOAT)sqrt(fNLX*fNLX+fNLZ*fNLZ); fNLX*=fOoNL; fNLZ*=fOoNL; FLOAT fNRX = +fDZ; FLOAT fNRZ = -fDXR; FLOAT fOoNR = 1.0f/(FLOAT)sqrt(fNRX*fNRX+fNRZ*fNRZ); fNRX*=fOoNR; fNRZ*=fOoNR; FLOAT fNDY = -fDZ; FLOAT fNDZ = +fDYD; FLOAT fOoND = 1.0f/(FLOAT)sqrt(fNDY*fNDY+fNDZ*fNDZ); fNDY*=fOoND; fNDZ*=fOoND; FLOAT fNUY = +fDZ; FLOAT fNUZ = -fDYU; FLOAT fOoNU = 1.0f/(FLOAT)sqrt(fNUY*fNUY+fNUZ*fNUZ); fNUY*=fOoNU; fNUZ*=fOoNU; // make clip planes pr_plClipU = FLOATplane3D(FLOAT3D( 0,fNUY,fNUZ), 0.0f); pr_plClipD = FLOATplane3D(FLOAT3D( 0,fNDY,fNDZ), 0.0f); pr_plClipL = FLOATplane3D(FLOAT3D(fNLX, 0,fNLZ), 0.0f); pr_plClipR = FLOATplane3D(FLOAT3D(fNRX, 0,fNRZ), 0.0f); // mark as prepared pr_Prepared = TRUE; // calculate constant value used for calculating z-buffer k-value from vertex's z coordinate pr_fDepthBufferFactor = -pr_NearClipDistance; pr_fDepthBufferMul = pr_fDepthBufferFar-pr_fDepthBufferNear; pr_fDepthBufferAdd = pr_fDepthBufferNear; // calculate ratio for mip factor calculation ppr_fMipRatio = pr_ScreenBBox.Size()(1)/(ppr_PerspectiveRatios(1)*640.0f); }