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// =-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-==-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-= // // // Project: Talina Gaming System (TgS) (∂) // File: TgS Collision - Sphere-Triangle.cpp // Author: Andrew Aye (EMail: andrew.aye@gmail.com, Web: http://www.andrewaye.com) // Version: 3.11 // // ------------------------------------------------------------------------------------------------------------------------------ // // // Copyright: © 2002-2008, Andrew Aye. All Rights Reserved. // // This software is free for non-commercial use. Redistribution and use in source and binary forms, with or without modification, // are permitted provided that the following conditions are met: // Redistributions of source code must retain this copyright notice, this list of conditions and the following disclaimers. // Redistributions in binary form must reproduce this copyright notice, this list of conditions and the following // disclaimers in the documentation and other materials provided with the distribution. // // Neither the names of the copyright owner nor the names of its contributors may be used to endorse or promote products derived // from this software without specific prior written permission. // // The intellectual property rights of the algorithms used reside with Andrew Aye. You may not use this software, in whole or // in part, in support of any commercial product without the express written consent of the author. // // There is no warranty or other guarantee of fitness of this software for any purpose. It is provided solely "as is". // // =-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-==-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-= // namespace TGS { // START TGS /////////////////////////////////////////////////////////////////////////////////////////////////////// namespace COL { // START COL /////////////////////////////////////////////////////////////////////////////////////////////////////// // ============================================================================================================================== // // ---- F_Internal_Penetrate ---------------------------------------------------------------------------------------------------- // // Input: tgPacket: The current series of contact points for this query-series, and contact generation parameters. // Input: tgCT0: Collision Triangle primitive // Input: tgSP0: Sphere primitive // Output: tgPacket: Points of penetration between the two primitives are added to it // Return: Result Code // ------------------------------------------------------------------------------------------------------------------------------ // template <typename TYPE, int DIM> TgRESULT F_Internal_Penetrate( PC_(CONTACT_PACKET,DIM) ptgPacket, CR_(CTRI,DIM) tgCT0, CR_(SPHERE,DIM) tgSP0 ) { TgBLOCK_FCN_NOOBJ(ETgFAC_COLLISION, 0, ETgTEST_PENETRATE, (((TgUINT)ETgTRIANGLE<<16)|(TgUINT)ETgSPHERE)); TgASSERT(!(0 == ptgPacket->m_niMaxContact || ptgPacket->m_niContact >= ptgPacket->m_niMaxContact)); TgASSERT(!(0 == ptgPacket->m_ptgContact)); TgFEBUG_COLLISION_TRIANGLE_CREATEID( iDBG_TriID, tgCT0, etgDEBUG_COLLISION_ENTERFCN ); TYPE tyCT0, tyCT1; const TYPE tyDistSq = F_ClosestSq( &tyCT0,&tyCT1, tgCT0.Query_ET(), tgSP0.Query_Origin() ); // Check to see if the proposed point of contact is on a reduced triangle feature. C_TgBOOL bCulled = Is_Point_Culled( tgCT0, tyCT0,tyCT1 ); // Check to see if the reduced feature should be included for this case (only important if bCulled is true). C_TgBOOL bEdge = Is_Tri_Edge_Ignored( tgCT0.Query_ET(), tyCT0,tyCT1 ); // No penetration if the minimal distance between the sphere origin and the triangle is greater than the sphere's radius. // Also, if the point is on a reduced feature, the contact can be ignored. The exception is for an edge, specifically for // a sphere ( limit of one contact point ) it is necessary to make sure that a contact on the edge is not ignored at least // once to prevent the system from culling out all contact points between a sphere and a triangle list. if (tyDistSq > tgSP0.Query_RadiusSq() || bCulled && bEdge) { return (TgE_NOINTERSECT); }; TgFEBUG_COLLISION_TRIANGLE( iDBG_TriID, etgDEBUG_COLLISION_PASSED_REJECT ); T_(VECTOR,DIM) tvCT0; tgCT0.Calc_Point( tvCT0, tyCT0,tyCT1 ); const TYPE tyDist = P::SQRT( tyDistSq ); const TYPE tyDepth = tyDist >= tgSP0.Query_Radius() ? TYPE(0.0) : tgSP0.Query_Radius() - tyDist; T_(VECTOR,DIM) tvNormal = MATH::F_SUB( tgSP0.Query_Origin(), tvCT0 ); // Check to see if the normal of intersection should be replaced by the triangle's normal. This is done to reduce floating // point noise in the system where near-normal results are returned. By forcing it to the triangle's normal, extraneous // rotations are minimized. The other possibility is that the sphere's origin lies on the triangle itself, thus, requiring // the selection of the triangle's normal for the intersection. TgBOOL bUseNormal = !Near_Zero( tyDist ); if (bUseNormal) { MATH::F_NORM( tvNormal ); // Check to see if the resultant normal is near that of the triangle's. If they are close then use the triangle's // normal to help further reduce floating point noise. bUseNormal = Near_One( MATH::F_DOT(tvNormal, tgCT0.Query_Normal()) ); }; if (bCulled && bUseNormal) { // If the point was marked to be culled (even if its on a valid edge), and the contact normal does not match the // triangle's normal, ignore this contact. Its assumed that the matching triangle, attached to this one, will // create the required contact point. Prevents duplicate points from being created. return (TgE_NOINTERSECT); }; // Create contact point. P_(CONTACT,DIM) ptgContact; ptgContact = (P_(CONTACT,DIM))((PC_TgUINT08)ptgPacket->m_ptgContact + ptgPacket->m_niContact*ptgPacket->m_iStride); ptgContact->m_tvNormal = bUseNormal ? tvNormal : tgCT0.Query_Normal(); ptgContact->m_tyT0 = TYPE(0.0); ptgContact->m_tyDepth = tyDepth; ptgContact->m_tvPos = MATH::F_SUB( tgSP0.Query_Origin(), MATH::F_MUL( tgSP0.Query_Radius(), ptgContact->m_tvNormal ) ); ++ptgPacket->m_niContact; TgFEBUG_COLLISION_TRIANGLE( iDBG_TriID, etgDEBUG_COLLISION_CODE1 ); return (TgS_OK); }; template TgRESULT F_Internal_Penetrate( PC_TgF4CONTACT_PACKET, CR_TgF4CTRI, CR_TgF4SPHERE ); // ============================================================================================================================== // // ---- F_Contact_Sweep --------------------------------------------------------------------------------------------------------- // // Input: tgPacket: The current series of contact points for this query-series, and contact generation parameters. // Input: tyPM: Current normalized time of first contact. // Input: bPenetrate: If the swept primitives are in penetration, if true the function will return points of penetration. // Input: tgST0: Space Triangle primitive // Input: tgSP0: Sphere primitive // Input: tgDT: A structure holding the swept primitive displacement for the entire duration of the test period // Output: tgPacket: Contact points are added or replace the current set depending on the time comparison and given parameters // Output: tyPM: New normalized time of first contact // Return: Result Code // ------------------------------------------------------------------------------------------------------------------------------ // template <typename TYPE, int DIM> TgRESULT F_Contact_Sweep( PC_(CONTACT_PACKET,DIM) ptgPacket, TYPE *ptyPM, CR_(STRI,DIM) tgST0, CR_(SPHERE,DIM) tgSP0, CR_(DELTA,DIM) tgDT ) { TgBLOCK_FCN_NOOBJ(ETgFAC_COLLISION, 0, ETgTEST_SWEEP, (((TgUINT)ETgTRIANGLE<<16)|(TgUINT)ETgSPHERE)) TgASSERT((TgSIZE)ptgPacket->m_iStride >= sizeof( P_(CONTACT,DIM) )) TgASSERT(tgSP0.Is_Valid() && tgST0.Is_Valid()) if (0 == ptgPacket->m_niMaxContact || ptgPacket->m_niContact >= ptgPacket->m_niMaxContact || NULL == ptgPacket->m_ptgContact) { return (TgE_FAIL); }; TgFEBUG_COLLISION_TRIANGLE_CREATEID( iDBG_TriID, tgST0, etgDEBUG_COLLISION_ENTERFCN ); // Check the displacement vector - if it is directed away from the triangle intersection is not possible. C_(VECTOR,DIM) tvX0 = MATH::F_SUB( tgSP0.Query_Origin(), tgST0.Query_Origin() ); const TYPE tyX0_N = MATH::F_DOT( tvX0, tgST0.Query_Normal() ); const TYPE tyDT_N = MATH::F_DOT( tgDT.m_tvDT, tgST0.Query_Normal() ); if (tyX0_N > tgSP0.Query_Radius() && tyDT_N > LIMITS<TYPE>::EPSILON) { return (TgE_NOINTERSECT); }; if (tyX0_N < -tgSP0.Query_Radius() && tyDT_N < -LIMITS<TYPE>::EPSILON) { return (TgE_NOINTERSECT); }; // Calculate the extrapolation required to translate the distance from the origin to the triangle plane. C_TgBOOL bPenetrate = TgTRUE == ptgPacket->m_bReport_Penetration; const TYPE tyT = (tgSP0.Query_Radius() - tyX0_N) / tyDT_N; if (tyT > *ptyPM + ptgPacket->m_tySweepTol || tyT > TYPE(1.0)) { if (bPenetrate) { goto SPHERE_PENETRATION; }; return (TgE_NOINTERSECT); }; // Examine the resulting point on the plane to see if it is contained by the triangle. if (tyT >= TYPE(0.0)) { T_(VECTOR,DIM) tvIPT = MATH::F_ADD( tgSP0.Query_Origin(), MATH::F_MUL( tyT, tgDT.m_tvDT ) ); for (int iEdge = 0; iEdge < 3; ++iEdge) { const TYPE tyLimit = LIMITS<TYPE>::EPSILON*MATH::F_LEN( tgST0.Query_Edge( iEdge ) ); const TYPE tyDist = F_Dist( tgST0.Query_EdgePlane( iEdge ), tvIPT ); if (tyDist < -tyLimit) { // The sphere origin is behind the triangle plane. Check to see if the delta moves away from the plane. if (!tgST0.Test_Edge( iEdge ) && MATH::F_DOT( tgST0.Query_EdgePlane( iEdge ).Query_Normal(), tgDT.m_tvDT ) < TYPE(0.0)) { return (TgE_NOINTERSECT); }; // The sphere does not intersect the triangle plane - check the edge/vertices for intersection. goto OutsideTriangle; } else if (tyDist <= tyLimit) { // The contact point is within tolerance of a specific triangle's edge. Check to see if its been marked invalid. if (!tgST0.Test_Edge( iEdge ) && Is_Tri_Edge_Ignored( tgST0.Query_ET(), iEdge )) { return (TgE_NOINTERSECT); }; }; }; // Valid point of contact. if (tyT < *ptyPM - ptgPacket->m_tySweepTol) { ptgPacket->m_niContact = 0; *ptyPM = tyT; }; P_(CONTACT,DIM) ptgContact; ptgContact = (P_(CONTACT,DIM))((PC_TgUINT08)ptgPacket->m_ptgContact + ptgPacket->m_niContact*ptgPacket->m_iStride); ptgContact->m_tvPos = MATH::F_SUB( tvIPT, MATH::F_MUL( tgSP0.Query_Radius(), tgST0.Query_Normal() ) ); ptgContact->m_tvNormal = tgST0.Query_Normal(); ptgContact->m_tyT0 = tyT; ptgContact->m_tyDepth = TYPE(0.0); ++ptgPacket->m_niContact; TgFEBUG_COLLISION_TRIANGLE( iDBG_TriID, etgDEBUG_COLLISION_CODE1 ); return (TgS_OK); }; OutsideTriangle: { // State Block for Edge Tests - Required because of the goto statement used for the penetration check C_(VECTOR,DIM) tvK0 = MATH::F_SUB( tgDT.m_tvDT, tgST0.Query_Origin() ); C_(VECTOR,DIM) tvX1 = MATH::F_ADD( tgSP0.Query_Origin(), tvK0 ); TgBOOL bHit = TgFALSE; // Check for collisions against the three edges for (int iEdge = 0; iEdge < 3; ++iEdge) { if (tgST0.Test_Edge( iEdge ) || !Is_Tri_Edge_Ignored( tgST0.Query_ET(), iEdge )) { const TYPE tyLimit = -tgSP0.Query_Radius()*MATH::F_LEN( tgST0.Query_Edge( iEdge ) ); const TYPE tyT0 = MATH::F_DOT(tgST0.Query_EdgePlane( iEdge ).Query_Normal(),tvX0); const TYPE tyT1 = MATH::F_DOT(tgST0.Query_EdgePlane( iEdge ).Query_Normal(),tvX1); if (tyT0 < tyLimit && tyT1 < tyLimit) { return (TgE_NOINTERSECT); }; if (tyT0 < LIMITS<TYPE>::EPSILON || tyT1 < LIMITS<TYPE>::EPSILON) { bHit |= 0 <= TTgSWP_SPLN<TYPE,DIM,1,1>::DO( ptgPacket, ptyPM, tgST0.Query_Point( iEdge ), tgST0.Query_Edge( iEdge ), tgSP0, tgDT ); }; }; }; // Check for collisions against the three vertices for (int iPoint = 0; iPoint < 3; ++iPoint) { if (tgST0.Test_Point( iPoint )) { bHit |= TgSUCCEEDED(F_Contact_Sweep( ptgPacket, ptyPM, tgST0.Query_Point( iPoint ), tgSP0,tgDT )); }; }; TgFEBUG_COLLISION_TRIANGLE( iDBG_TriID, etgDEBUG_COLLISION_CODE2 ); if (bHit) { return (TgS_OK); }; }; // If pre-penetration information is not requested or the sphere's origin is behind the triangle report a non-intersection. if (!bPenetrate) { return (TgE_NOINTERSECT); }; SPHERE_PENETRATION: TgFEBUG_COLLISION_TRIANGLE( iDBG_TriID, etgDEBUG_COLLISION_PREPENETRATION ); // Record the current number of contacts before potentially clearing the list in case pre-penetration is not found. C_TgINT niContact = ptgPacket->m_niContact; if (*ptyPM > ptgPacket->m_tySweepTol) { ptgPacket->m_niContact = 0; }; C_TgRESULT tgResult = F_Internal_Penetrate( ptgPacket, tgST0.Query_CT(),tgSP0 ); // Restore the original number of contacts if pre-penetration was not found. if (TgFAILED(tgResult)) { ptgPacket->m_niContact = niContact; return (tgResult); }; // Set the time parameter and return back the appropriate result code. *ptyPM = TYPE(0.0); return (TgS_MAXCONTACTS == tgResult ? TgE_PREPENETRATION_MAXCONTACTS : (TgS_OK == tgResult ? TgE_PREPENETRATION : tgResult)); }; template TgRESULT F_Contact_Sweep( PC_TgF4CONTACT_PACKET, P_TgFLOAT32, CR_TgF4STRI, CR_TgF4SPHERE, CR_TgF4DELTA ); // ============================================================================================================================== // }; // END COL ////////////////////////////////////////////////////////////////////////////////////////////////////////////////////// }; // END TGS //////////////////////////////////////////////////////////////////////////////////////////////////////////////////////[an error occurred while processing this directive]