forked from bartvdbraak/blender
846 lines
24 KiB
C++
846 lines
24 KiB
C++
/*************************************************************************
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* *
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* Open Dynamics Engine, Copyright (C) 2001,2002 Russell L. Smith. *
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* All rights reserved. Email: russ@q12.org Web: www.q12.org *
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* *
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* This library is free software; you can redistribute it and/or *
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* modify it under the terms of EITHER: *
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* (1) The GNU Lesser General Public License as published by the Free *
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* Software Foundation; either version 2.1 of the License, or (at *
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* your option) any later version. The text of the GNU Lesser *
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* General Public License is included with this library in the *
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* file LICENSE.TXT. *
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* (2) The BSD-style license that is included with this library in *
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* the file LICENSE-BSD.TXT. *
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* *
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* This library is distributed in the hope that it will be useful, *
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* but WITHOUT ANY WARRANTY; without even the implied warranty of *
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the files *
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* LICENSE.TXT and LICENSE-BSD.TXT for more details. *
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* *
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*************************************************************************/
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#include "SorLcp.h"
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#ifdef USE_SOR_SOLVER
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// SOR LCP taken from ode quickstep,
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// todo: write own successive overrelaxation gauss-seidel, or jacobi iterative solver
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#include "SimdScalar.h"
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#include "Dynamics/RigidBody.h"
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#include <math.h>
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#include <float.h>//FLT_MAX
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#ifdef WIN32
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#include <memory.h>
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#endif
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#include <string.h>
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#include <stdio.h>
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#if defined (WIN32)
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#include <malloc.h>
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#else
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#if defined (__FreeBSD__)
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#include <stdlib.h>
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#else
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#include <alloca.h>
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#endif
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#endif
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#include "Dynamics/BU_Joint.h"
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#include "ContactSolverInfo.h"
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////////////////////////////////////////////////////////////////////
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//math stuff
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typedef SimdScalar dVector4[4];
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typedef SimdScalar dMatrix3[4*3];
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#define dInfinity FLT_MAX
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#define dRecip(x) ((float)(1.0f/(x))) /* reciprocal */
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#define dMULTIPLY0_331NEW(A,op,B,C) \
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{\
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float tmp[3];\
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tmp[0] = C.getX();\
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tmp[1] = C.getY();\
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tmp[2] = C.getZ();\
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dMULTIPLYOP0_331(A,op,B,tmp);\
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}
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#define dMULTIPLY0_331(A,B,C) dMULTIPLYOP0_331(A,=,B,C)
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#define dMULTIPLYOP0_331(A,op,B,C) \
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(A)[0] op dDOT1((B),(C)); \
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(A)[1] op dDOT1((B+4),(C)); \
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(A)[2] op dDOT1((B+8),(C));
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#define dAASSERT ASSERT
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#define dIASSERT ASSERT
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#define REAL float
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#define dDOTpq(a,b,p,q) ((a)[0]*(b)[0] + (a)[p]*(b)[q] + (a)[2*(p)]*(b)[2*(q)])
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SimdScalar dDOT1 (const SimdScalar *a, const SimdScalar *b) { return dDOTpq(a,b,1,1); }
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#define dDOT14(a,b) dDOTpq(a,b,1,4)
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#define dCROSS(a,op,b,c) \
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(a)[0] op ((b)[1]*(c)[2] - (b)[2]*(c)[1]); \
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(a)[1] op ((b)[2]*(c)[0] - (b)[0]*(c)[2]); \
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(a)[2] op ((b)[0]*(c)[1] - (b)[1]*(c)[0]);
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#define dMULTIPLYOP2_333(A,op,B,C) \
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(A)[0] op dDOT1((B),(C)); \
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(A)[1] op dDOT1((B),(C+4)); \
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(A)[2] op dDOT1((B),(C+8)); \
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(A)[4] op dDOT1((B+4),(C)); \
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(A)[5] op dDOT1((B+4),(C+4)); \
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(A)[6] op dDOT1((B+4),(C+8)); \
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(A)[8] op dDOT1((B+8),(C)); \
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(A)[9] op dDOT1((B+8),(C+4)); \
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(A)[10] op dDOT1((B+8),(C+8));
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#define dMULTIPLYOP0_333(A,op,B,C) \
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(A)[0] op dDOT14((B),(C)); \
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(A)[1] op dDOT14((B),(C+1)); \
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(A)[2] op dDOT14((B),(C+2)); \
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(A)[4] op dDOT14((B+4),(C)); \
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(A)[5] op dDOT14((B+4),(C+1)); \
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(A)[6] op dDOT14((B+4),(C+2)); \
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(A)[8] op dDOT14((B+8),(C)); \
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(A)[9] op dDOT14((B+8),(C+1)); \
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(A)[10] op dDOT14((B+8),(C+2));
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#define dMULTIPLY2_333(A,B,C) dMULTIPLYOP2_333(A,=,B,C)
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#define dMULTIPLY0_333(A,B,C) dMULTIPLYOP0_333(A,=,B,C)
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#define dMULTIPLYADD0_331(A,B,C) dMULTIPLYOP0_331(A,+=,B,C)
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////////////////////////////////////////////////////////////////////
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#define EFFICIENT_ALIGNMENT 16
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#define dEFFICIENT_SIZE(x) ((((x)-1)|(EFFICIENT_ALIGNMENT-1))+1)
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/* alloca aligned to the EFFICIENT_ALIGNMENT. note that this can waste
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* up to 15 bytes per allocation, depending on what alloca() returns.
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*/
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#define dALLOCA16(n) \
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((char*)dEFFICIENT_SIZE(((size_t)(alloca((n)+(EFFICIENT_ALIGNMENT-1))))))
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/////////////////////////////////////////////////////////////////////
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/////////////////////////////////////////////////////////////////////
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#ifdef DEBUG
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#define ANSI_FTOL 1
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extern "C" {
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__declspec(naked) void _ftol2() {
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__asm {
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#if ANSI_FTOL
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fnstcw WORD PTR [esp-2]
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mov ax, WORD PTR [esp-2]
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OR AX, 0C00h
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mov WORD PTR [esp-4], ax
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fldcw WORD PTR [esp-4]
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fistp QWORD PTR [esp-12]
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fldcw WORD PTR [esp-2]
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mov eax, DWORD PTR [esp-12]
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mov edx, DWORD PTR [esp-8]
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#else
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fistp DWORD PTR [esp-12]
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mov eax, DWORD PTR [esp-12]
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mov ecx, DWORD PTR [esp-8]
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#endif
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ret
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}
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}
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}
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#endif //DEBUG
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#define ALLOCA dALLOCA16
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typedef const SimdScalar *dRealPtr;
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typedef SimdScalar *dRealMutablePtr;
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#define dRealArray(name,n) SimdScalar name[n];
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#define dRealAllocaArray(name,n) SimdScalar *name = (SimdScalar*) ALLOCA ((n)*sizeof(SimdScalar));
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void dSetZero1 (SimdScalar *a, int n)
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{
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dAASSERT (a && n >= 0);
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while (n > 0) {
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*(a++) = 0;
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n--;
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}
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}
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void dSetValue1 (SimdScalar *a, int n, SimdScalar value)
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{
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dAASSERT (a && n >= 0);
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while (n > 0) {
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*(a++) = value;
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n--;
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}
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}
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//***************************************************************************
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// configuration
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// for the SOR and CG methods:
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// uncomment the following line to use warm starting. this definitely
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// help for motor-driven joints. unfortunately it appears to hurt
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// with high-friction contacts using the SOR method. use with care
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//#define WARM_STARTING 1
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// for the SOR method:
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// uncomment the following line to randomly reorder constraint rows
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// during the solution. depending on the situation, this can help a lot
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// or hardly at all, but it doesn't seem to hurt.
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#define RANDOMLY_REORDER_CONSTRAINTS 1
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//***************************************************************************
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// various common computations involving the matrix J
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// compute iMJ = inv(M)*J'
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static void compute_invM_JT (int m, dRealMutablePtr J, dRealMutablePtr iMJ, int *jb,
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RigidBody * const *body, dRealPtr invI)
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{
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int i,j;
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dRealMutablePtr iMJ_ptr = iMJ;
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dRealMutablePtr J_ptr = J;
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for (i=0; i<m; i++) {
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int b1 = jb[i*2];
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int b2 = jb[i*2+1];
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SimdScalar k = body[b1]->getInvMass();
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for (j=0; j<3; j++) iMJ_ptr[j] = k*J_ptr[j];
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dMULTIPLY0_331 (iMJ_ptr + 3, invI + 12*b1, J_ptr + 3);
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if (b2 >= 0) {
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k = body[b2]->getInvMass();
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for (j=0; j<3; j++) iMJ_ptr[j+6] = k*J_ptr[j+6];
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dMULTIPLY0_331 (iMJ_ptr + 9, invI + 12*b2, J_ptr + 9);
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}
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J_ptr += 12;
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iMJ_ptr += 12;
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}
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}
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static void multiply_invM_JTSpecial (int m, int nb, dRealMutablePtr iMJ, int *jb,
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dRealMutablePtr in, dRealMutablePtr out,int onlyBody1,int onlyBody2)
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{
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int i,j;
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dRealMutablePtr out_ptr1 = out + onlyBody1*6;
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for (j=0; j<6; j++)
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out_ptr1[j] = 0;
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if (onlyBody2 >= 0)
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{
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out_ptr1 = out + onlyBody2*6;
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for (j=0; j<6; j++)
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out_ptr1[j] = 0;
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}
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dRealPtr iMJ_ptr = iMJ;
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for (i=0; i<m; i++) {
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int b1 = jb[i*2];
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dRealMutablePtr out_ptr = out + b1*6;
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if ((b1 == onlyBody1) || (b1 == onlyBody2))
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{
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for (j=0; j<6; j++)
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out_ptr[j] += iMJ_ptr[j] * in[i] ;
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}
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iMJ_ptr += 6;
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int b2 = jb[i*2+1];
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if ((b2 == onlyBody1) || (b2 == onlyBody2))
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{
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if (b2 >= 0)
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{
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out_ptr = out + b2*6;
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for (j=0; j<6; j++)
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out_ptr[j] += iMJ_ptr[j] * in[i];
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}
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}
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iMJ_ptr += 6;
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}
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}
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// compute out = inv(M)*J'*in.
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static void multiply_invM_JT (int m, int nb, dRealMutablePtr iMJ, int *jb,
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dRealMutablePtr in, dRealMutablePtr out)
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{
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int i,j;
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dSetZero1 (out,6*nb);
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dRealPtr iMJ_ptr = iMJ;
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for (i=0; i<m; i++) {
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int b1 = jb[i*2];
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int b2 = jb[i*2+1];
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dRealMutablePtr out_ptr = out + b1*6;
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for (j=0; j<6; j++)
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out_ptr[j] += iMJ_ptr[j] * in[i];
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iMJ_ptr += 6;
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if (b2 >= 0) {
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out_ptr = out + b2*6;
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for (j=0; j<6; j++) out_ptr[j] += iMJ_ptr[j] * in[i];
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}
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iMJ_ptr += 6;
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}
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}
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// compute out = J*in.
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static void multiply_J (int m, dRealMutablePtr J, int *jb,
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dRealMutablePtr in, dRealMutablePtr out)
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{
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int i,j;
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dRealPtr J_ptr = J;
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for (i=0; i<m; i++) {
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int b1 = jb[i*2];
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int b2 = jb[i*2+1];
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SimdScalar sum = 0;
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dRealMutablePtr in_ptr = in + b1*6;
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for (j=0; j<6; j++) sum += J_ptr[j] * in_ptr[j];
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J_ptr += 6;
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if (b2 >= 0) {
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in_ptr = in + b2*6;
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for (j=0; j<6; j++) sum += J_ptr[j] * in_ptr[j];
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}
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J_ptr += 6;
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out[i] = sum;
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}
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}
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//***************************************************************************
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// SOR-LCP method
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// nb is the number of bodies in the body array.
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// J is an m*12 matrix of constraint rows
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// jb is an array of first and second body numbers for each constraint row
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// invI is the global frame inverse inertia for each body (stacked 3x3 matrices)
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//
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// this returns lambda and fc (the constraint force).
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// note: fc is returned as inv(M)*J'*lambda, the constraint force is actually J'*lambda
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//
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// b, lo and hi are modified on exit
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struct IndexError {
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SimdScalar error; // error to sort on
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int findex;
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int index; // row index
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};
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static unsigned long seed2 = 0;
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unsigned long dRand2()
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{
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seed2 = (1664525L*seed2 + 1013904223L) & 0xffffffff;
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return seed2;
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}
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int dRandInt2 (int n)
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{
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float a = float(n) / 4294967296.0f;
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return (int) (float(dRand2()) * a);
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}
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static void SOR_LCP (int m, int nb, dRealMutablePtr J, int *jb, RigidBody * const *body,
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dRealPtr invI, dRealMutablePtr lambda, dRealMutablePtr invMforce, dRealMutablePtr rhs,
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dRealMutablePtr lo, dRealMutablePtr hi, dRealPtr cfm, int *findex,
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int numiter,float overRelax)
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{
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const int num_iterations = numiter;
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const float sor_w = overRelax; // SOR over-relaxation parameter
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int i,j;
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#ifdef WARM_STARTING
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// for warm starting, this seems to be necessary to prevent
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// jerkiness in motor-driven joints. i have no idea why this works.
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for (i=0; i<m; i++) lambda[i] *= 0.9;
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#else
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dSetZero1 (lambda,m);
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#endif
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// the lambda computed at the previous iteration.
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// this is used to measure error for when we are reordering the indexes.
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dRealAllocaArray (last_lambda,m);
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// a copy of the 'hi' vector in case findex[] is being used
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dRealAllocaArray (hicopy,m);
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memcpy (hicopy,hi,m*sizeof(float));
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// precompute iMJ = inv(M)*J'
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dRealAllocaArray (iMJ,m*12);
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compute_invM_JT (m,J,iMJ,jb,body,invI);
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// compute fc=(inv(M)*J')*lambda. we will incrementally maintain fc
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// as we change lambda.
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#ifdef WARM_STARTING
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multiply_invM_JT (m,nb,iMJ,jb,lambda,fc);
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#else
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dSetZero1 (invMforce,nb*6);
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#endif
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// precompute 1 / diagonals of A
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dRealAllocaArray (Ad,m);
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dRealPtr iMJ_ptr = iMJ;
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dRealMutablePtr J_ptr = J;
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for (i=0; i<m; i++) {
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float sum = 0;
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for (j=0; j<6; j++) sum += iMJ_ptr[j] * J_ptr[j];
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if (jb[i*2+1] >= 0) {
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for (j=6; j<12; j++) sum += iMJ_ptr[j] * J_ptr[j];
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}
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iMJ_ptr += 12;
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J_ptr += 12;
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Ad[i] = sor_w / sum;//(sum + cfm[i]);
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}
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// scale J and b by Ad
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J_ptr = J;
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for (i=0; i<m; i++) {
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for (j=0; j<12; j++) {
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J_ptr[0] *= Ad[i];
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J_ptr++;
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}
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rhs[i] *= Ad[i];
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}
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// scale Ad by CFM
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for (i=0; i<m; i++)
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Ad[i] *= cfm[i];
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// order to solve constraint rows in
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IndexError *order = (IndexError*) alloca (m*sizeof(IndexError));
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#ifndef REORDER_CONSTRAINTS
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// make sure constraints with findex < 0 come first.
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j=0;
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for (i=0; i<m; i++)
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if (findex[i] < 0)
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order[j++].index = i;
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for (i=0; i<m; i++)
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if (findex[i] >= 0)
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order[j++].index = i;
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dIASSERT (j==m);
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#endif
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for (int iteration=0; iteration < num_iterations; iteration++) {
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#ifdef REORDER_CONSTRAINTS
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// constraints with findex < 0 always come first.
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if (iteration < 2) {
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// for the first two iterations, solve the constraints in
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// the given order
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for (i=0; i<m; i++) {
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order[i].error = i;
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order[i].findex = findex[i];
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order[i].index = i;
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}
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}
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else {
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// sort the constraints so that the ones converging slowest
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// get solved last. use the absolute (not relative) error.
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for (i=0; i<m; i++) {
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float v1 = dFabs (lambda[i]);
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float v2 = dFabs (last_lambda[i]);
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float max = (v1 > v2) ? v1 : v2;
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if (max > 0) {
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//@@@ relative error: order[i].error = dFabs(lambda[i]-last_lambda[i])/max;
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order[i].error = dFabs(lambda[i]-last_lambda[i]);
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}
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else {
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order[i].error = dInfinity;
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}
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order[i].findex = findex[i];
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order[i].index = i;
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}
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}
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qsort (order,m,sizeof(IndexError),&compare_index_error);
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#endif
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#ifdef RANDOMLY_REORDER_CONSTRAINTS
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if ((iteration & 7) == 0) {
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for (i=1; i<m; ++i) {
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IndexError tmp = order[i];
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int swapi = dRandInt2(i+1);
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order[i] = order[swapi];
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order[swapi] = tmp;
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}
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}
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#endif
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//@@@ potential optimization: swap lambda and last_lambda pointers rather
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// than copying the data. we must make sure lambda is properly
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// returned to the caller
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memcpy (last_lambda,lambda,m*sizeof(float));
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for (int i=0; i<m; i++) {
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// @@@ potential optimization: we could pre-sort J and iMJ, thereby
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// linearizing access to those arrays. hmmm, this does not seem
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// like a win, but we should think carefully about our memory
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// access pattern.
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int index = order[i].index;
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J_ptr = J + index*12;
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iMJ_ptr = iMJ + index*12;
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// set the limits for this constraint. note that 'hicopy' is used.
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// this is the place where the QuickStep method differs from the
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// direct LCP solving method, since that method only performs this
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// limit adjustment once per time step, whereas this method performs
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// once per iteration per constraint row.
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// the constraints are ordered so that all lambda[] values needed have
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// already been computed.
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if (findex[index] >= 0) {
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hi[index] = SimdFabs (hicopy[index] * lambda[findex[index]]);
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lo[index] = -hi[index];
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}
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int b1 = jb[index*2];
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int b2 = jb[index*2+1];
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float delta = rhs[index] - lambda[index]*Ad[index];
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dRealMutablePtr fc_ptr = invMforce + 6*b1;
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// @@@ potential optimization: SIMD-ize this and the b2 >= 0 case
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delta -=fc_ptr[0] * J_ptr[0] + fc_ptr[1] * J_ptr[1] +
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fc_ptr[2] * J_ptr[2] + fc_ptr[3] * J_ptr[3] +
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fc_ptr[4] * J_ptr[4] + fc_ptr[5] * J_ptr[5];
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// @@@ potential optimization: handle 1-body constraints in a separate
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// loop to avoid the cost of test & jump?
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if (b2 >= 0) {
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fc_ptr = invMforce + 6*b2;
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delta -=fc_ptr[0] * J_ptr[6] + fc_ptr[1] * J_ptr[7] +
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fc_ptr[2] * J_ptr[8] + fc_ptr[3] * J_ptr[9] +
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fc_ptr[4] * J_ptr[10] + fc_ptr[5] * J_ptr[11];
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}
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// compute lambda and clamp it to [lo,hi].
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// @@@ potential optimization: does SSE have clamping instructions
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// to save test+jump penalties here?
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float new_lambda = lambda[index] + delta;
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if (new_lambda < lo[index]) {
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delta = lo[index]-lambda[index];
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lambda[index] = lo[index];
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}
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else if (new_lambda > hi[index]) {
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delta = hi[index]-lambda[index];
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lambda[index] = hi[index];
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}
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else {
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lambda[index] = new_lambda;
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}
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//@@@ a trick that may or may not help
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//float ramp = (1-((float)(iteration+1)/(float)num_iterations));
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//delta *= ramp;
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// update invMforce.
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// @@@ potential optimization: SIMD for this and the b2 >= 0 case
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fc_ptr = invMforce + 6*b1;
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fc_ptr[0] += delta * iMJ_ptr[0];
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fc_ptr[1] += delta * iMJ_ptr[1];
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fc_ptr[2] += delta * iMJ_ptr[2];
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fc_ptr[3] += delta * iMJ_ptr[3];
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fc_ptr[4] += delta * iMJ_ptr[4];
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fc_ptr[5] += delta * iMJ_ptr[5];
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// @@@ potential optimization: handle 1-body constraints in a separate
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// loop to avoid the cost of test & jump?
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if (b2 >= 0) {
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fc_ptr = invMforce + 6*b2;
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fc_ptr[0] += delta * iMJ_ptr[6];
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fc_ptr[1] += delta * iMJ_ptr[7];
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fc_ptr[2] += delta * iMJ_ptr[8];
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fc_ptr[3] += delta * iMJ_ptr[9];
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fc_ptr[4] += delta * iMJ_ptr[10];
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fc_ptr[5] += delta * iMJ_ptr[11];
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}
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}
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}
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}
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void SolveInternal1 (float global_cfm,
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float global_erp,
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RigidBody * const *body, int nb,
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BU_Joint * const *_joint,
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int nj,
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const ContactSolverInfo& solverInfo)
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{
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int numIter = solverInfo.m_numIterations;
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float sOr = solverInfo.m_sor;
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int i,j;
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SimdScalar stepsize1 = dRecip(solverInfo.m_timeStep);
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// number all bodies in the body list - set their tag values
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for (i=0; i<nb; i++)
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body[i]->m_odeTag = i;
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// make a local copy of the joint array, because we might want to modify it.
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// (the "BU_Joint *const*" declaration says we're allowed to modify the joints
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// but not the joint array, because the caller might need it unchanged).
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//@@@ do we really need to do this? we'll be sorting constraint rows individually, not joints
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BU_Joint **joint = (BU_Joint**) alloca (nj * sizeof(BU_Joint*));
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memcpy (joint,_joint,nj * sizeof(BU_Joint*));
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// for all bodies, compute the inertia tensor and its inverse in the global
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// frame, and compute the rotational force and add it to the torque
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// accumulator. I and invI are a vertical stack of 3x4 matrices, one per body.
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dRealAllocaArray (I,3*4*nb);
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dRealAllocaArray (invI,3*4*nb);
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/* for (i=0; i<nb; i++) {
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dMatrix3 tmp;
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// compute inertia tensor in global frame
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dMULTIPLY2_333 (tmp,body[i]->m_I,body[i]->m_R);
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// compute inverse inertia tensor in global frame
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dMULTIPLY2_333 (tmp,body[i]->m_invI,body[i]->m_R);
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dMULTIPLY0_333 (invI+i*12,body[i]->m_R,tmp);
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// compute rotational force
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dCROSS (body[i]->m_tacc,-=,body[i]->getAngularVelocity(),tmp);
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}
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*/
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for (i=0; i<nb; i++) {
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dMatrix3 tmp;
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// compute inertia tensor in global frame
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dMULTIPLY2_333 (tmp,body[i]->m_I,body[i]->m_R);
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dMULTIPLY0_333 (I+i*12,body[i]->m_R,tmp);
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// compute inverse inertia tensor in global frame
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dMULTIPLY2_333 (tmp,body[i]->m_invI,body[i]->m_R);
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dMULTIPLY0_333 (invI+i*12,body[i]->m_R,tmp);
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// compute rotational force
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dMULTIPLY0_331 (tmp,I+i*12,body[i]->getAngularVelocity());
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dCROSS (body[i]->m_tacc,-=,body[i]->getAngularVelocity(),tmp);
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}
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// get joint information (m = total constraint dimension, nub = number of unbounded variables).
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// joints with m=0 are inactive and are removed from the joints array
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// entirely, so that the code that follows does not consider them.
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//@@@ do we really need to save all the info1's
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BU_Joint::Info1 *info = (BU_Joint::Info1*) alloca (nj*sizeof(BU_Joint::Info1));
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for (i=0, j=0; j<nj; j++) { // i=dest, j=src
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joint[j]->GetInfo1 (info+i);
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dIASSERT (info[i].m >= 0 && info[i].m <= 6 && info[i].nub >= 0 && info[i].nub <= info[i].m);
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if (info[i].m > 0) {
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joint[i] = joint[j];
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i++;
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}
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}
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nj = i;
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// create the row offset array
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int m = 0;
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int *ofs = (int*) alloca (nj*sizeof(int));
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for (i=0; i<nj; i++) {
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ofs[i] = m;
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m += info[i].m;
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}
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// if there are constraints, compute the constraint force
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dRealAllocaArray (J,m*12);
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int *jb = (int*) alloca (m*2*sizeof(int));
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if (m > 0) {
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// create a constraint equation right hand side vector `c', a constraint
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// force mixing vector `cfm', and LCP low and high bound vectors, and an
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// 'findex' vector.
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dRealAllocaArray (c,m);
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dRealAllocaArray (cfm,m);
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dRealAllocaArray (lo,m);
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dRealAllocaArray (hi,m);
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int *findex = (int*) alloca (m*sizeof(int));
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dSetZero1 (c,m);
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dSetValue1 (cfm,m,global_cfm);
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dSetValue1 (lo,m,-dInfinity);
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dSetValue1 (hi,m, dInfinity);
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for (i=0; i<m; i++) findex[i] = -1;
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// get jacobian data from constraints. an m*12 matrix will be created
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// to store the two jacobian blocks from each constraint. it has this
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// format:
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//
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// l1 l1 l1 a1 a1 a1 l2 l2 l2 a2 a2 a2 \ .
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// l1 l1 l1 a1 a1 a1 l2 l2 l2 a2 a2 a2 }-- jacobian for joint 0, body 1 and body 2 (3 rows)
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// l1 l1 l1 a1 a1 a1 l2 l2 l2 a2 a2 a2 /
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// l1 l1 l1 a1 a1 a1 l2 l2 l2 a2 a2 a2 }--- jacobian for joint 1, body 1 and body 2 (3 rows)
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// etc...
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//
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// (lll) = linear jacobian data
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// (aaa) = angular jacobian data
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//
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dSetZero1 (J,m*12);
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BU_Joint::Info2 Jinfo;
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Jinfo.rowskip = 12;
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Jinfo.fps = stepsize1;
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Jinfo.erp = global_erp;
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for (i=0; i<nj; i++) {
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Jinfo.J1l = J + ofs[i]*12;
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Jinfo.J1a = Jinfo.J1l + 3;
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Jinfo.J2l = Jinfo.J1l + 6;
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Jinfo.J2a = Jinfo.J1l + 9;
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Jinfo.c = c + ofs[i];
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Jinfo.cfm = cfm + ofs[i];
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Jinfo.lo = lo + ofs[i];
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Jinfo.hi = hi + ofs[i];
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Jinfo.findex = findex + ofs[i];
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joint[i]->GetInfo2 (&Jinfo);
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if (Jinfo.c[0] > solverInfo.m_maxErrorReduction)
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Jinfo.c[0] = solverInfo.m_maxErrorReduction;
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// adjust returned findex values for global index numbering
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for (j=0; j<info[i].m; j++) {
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if (findex[ofs[i] + j] >= 0)
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findex[ofs[i] + j] += ofs[i];
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}
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}
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// create an array of body numbers for each joint row
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int *jb_ptr = jb;
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for (i=0; i<nj; i++) {
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int b1 = (joint[i]->node[0].body) ? (joint[i]->node[0].body->m_odeTag) : -1;
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int b2 = (joint[i]->node[1].body) ? (joint[i]->node[1].body->m_odeTag) : -1;
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for (j=0; j<info[i].m; j++) {
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jb_ptr[0] = b1;
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jb_ptr[1] = b2;
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jb_ptr += 2;
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}
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}
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dIASSERT (jb_ptr == jb+2*m);
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// compute the right hand side `rhs'
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dRealAllocaArray (tmp1,nb*6);
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// put v/h + invM*fe into tmp1
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for (i=0; i<nb; i++) {
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SimdScalar body_invMass = body[i]->getInvMass();
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for (j=0; j<3; j++)
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tmp1[i*6+j] = body[i]->m_facc[j] * body_invMass + body[i]->getLinearVelocity()[j] * stepsize1;
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dMULTIPLY0_331NEW (tmp1 + i*6 + 3,=,invI + i*12,body[i]->m_tacc);
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for (j=0; j<3; j++)
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tmp1[i*6+3+j] += body[i]->getAngularVelocity()[j] * stepsize1;
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}
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// put J*tmp1 into rhs
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dRealAllocaArray (rhs,m);
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multiply_J (m,J,jb,tmp1,rhs);
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// complete rhs
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for (i=0; i<m; i++) rhs[i] = c[i]*stepsize1 - rhs[i];
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// scale CFM
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for (i=0; i<m; i++)
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cfm[i] *= stepsize1;
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// load lambda from the value saved on the previous iteration
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dRealAllocaArray (lambda,m);
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#ifdef WARM_STARTING
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dSetZero1 (lambda,m); //@@@ shouldn't be necessary
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for (i=0; i<nj; i++) {
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memcpy (lambda+ofs[i],joint[i]->lambda,info[i].m * sizeof(SimdScalar));
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}
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#endif
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// solve the LCP problem and get lambda and invM*constraint_force
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dRealAllocaArray (cforce,nb*6);
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SOR_LCP (m,nb,J,jb,body,invI,lambda,cforce,rhs,lo,hi,cfm,findex,numIter,sOr);
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#ifdef WARM_STARTING
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// save lambda for the next iteration
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//@@@ note that this doesn't work for contact joints yet, as they are
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// recreated every iteration
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for (i=0; i<nj; i++) {
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memcpy (joint[i]->lambda,lambda+ofs[i],info[i].m * sizeof(SimdScalar));
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}
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#endif
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|
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// note that the SOR method overwrites rhs and J at this point, so
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// they should not be used again.
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// add stepsize * cforce to the body velocity
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for (i=0; i<nb; i++) {
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SimdVector3 linvel = body[i]->getLinearVelocity();
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SimdVector3 angvel = body[i]->getAngularVelocity();
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for (j=0; j<3; j++)
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linvel[j] += solverInfo.m_timeStep* cforce[i*6+j];
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for (j=0; j<3; j++)
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angvel[j] += solverInfo.m_timeStep* cforce[i*6+3+j];
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body[i]->setLinearVelocity(linvel);
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body[i]->setAngularVelocity(angvel);
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}
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}
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|
|
|
|
|
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// compute the velocity update:
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// add stepsize * invM * fe to the body velocity
|
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|
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for (i=0; i<nb; i++) {
|
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SimdScalar body_invMass = body[i]->getInvMass();
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SimdVector3 linvel = body[i]->getLinearVelocity();
|
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SimdVector3 angvel = body[i]->getAngularVelocity();
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for (j=0; j<3; j++)
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{
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linvel[j] += solverInfo.m_timeStep * body_invMass * body[i]->m_facc[j];
|
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}
|
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for (j=0; j<3; j++)
|
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{
|
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body[i]->m_tacc[j] *= solverInfo.m_timeStep;
|
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}
|
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dMULTIPLY0_331NEW(angvel,+=,invI + i*12,body[i]->m_tacc);
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body[i]->setAngularVelocity(angvel);
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|
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}
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|
|
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|
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}
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#endif //USE_SOR_SOLVER
|