Convert qLD to CSR format.
PiperOrigin-RevId: 723955038 Change-Id: I30c3dc7f59739e89ae5fff8841432bc74717ec1b
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c27d3758c2
@@ -2131,7 +2131,8 @@ void mj_projectConstraint(const mjModel* m, mjData* d) {
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// inverse square root of D from inertia LDL decomposition
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mjtNum* sqrtInvD = mjSTACKALLOC(d, nv, mjtNum);
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for (int i=0; i < nv; i++) {
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sqrtInvD[i] = 1 / mju_sqrt(d->qLD[m->dof_Madr[i]]);
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int diag = d->C_rowadr[i] + d->C_rownnz[i] - 1;
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sqrtInvD[i] = 1 / mju_sqrt(d->qLD[diag]);
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}
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// sparse
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@@ -2238,13 +2239,6 @@ void mj_projectConstraint(const mjModel* m, mjData* d) {
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// === in-place sparse back-substitution: B <- B * M^-1/2
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// make qLD
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int nC = m->nC;
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mjtNum* qLD = mjSTACKALLOC(d, nC, mjtNum);
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for (int i=0; i < nC; i++) {
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qLD[i] = d->qLD[d->mapM2C[i]];
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}
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// sparse backsubM2 (half of LD back-substitution)
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for (int r=0; r < nefc; r++) {
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int nnzB = B_rownnz[r];
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@@ -2258,7 +2252,7 @@ void mj_projectConstraint(const mjModel* m, mjData* d) {
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}
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int j = B_colind[i];
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int adrC = d->C_rowadr[j];
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mju_addToSclSparseInc(B + adrB, qLD + adrC,
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mju_addToSclSparseInc(B + adrB, d->qLD + adrC,
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nnzB, B_colind + adrB,
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d->C_rownnz[j]-1, d->C_colind + adrC, -b);
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}
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@@ -1465,7 +1465,11 @@ void mj_factorI(const mjModel* m, mjData* d, const mjtNum* M, mjtNum* qLD, mjtNu
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// sparse L'*D*L factorizaton of the inertia matrix M, assumed spd
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void mj_factorM(const mjModel* m, mjData* d) {
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TM_START;
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mj_factorI(m, d, d->qM, d->qLD, d->qLDiagInv);
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int nC = m->nC;
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for (int i=0; i < nC; i++) {
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d->qLD[i] = d->qM[d->mapM2C[i]];
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}
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mj_factorIs(d->qLD, d->qLDiagInv, m->nv, d->C_rownnz, d->C_rowadr, m->dof_simplenum, d->C_colind);
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TM_ADD(mjTIMER_POS_INERTIA);
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}
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@@ -1709,18 +1713,20 @@ void mj_solveM(const mjModel* m, mjData* d, mjtNum* x, const mjtNum* y, int n) {
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if (x != y) {
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mju_copy(x, y, n*m->nv);
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}
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mj_solveLD(m, x, n, d->qLD, d->qLDiagInv);
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mj_solveLDs(x, d->qLD, d->qLDiagInv, m->nv, n,
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d->C_rownnz, d->C_rowadr, m->dof_simplenum, d->C_colind);
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}
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// in-place sparse backsubstitution for one island: x = inv(L'*D*L)*x
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// L is in lower triangle of qLD; D is on diagonal of qLD
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void mj_solveM_island(const mjModel* m, mjData* d, mjtNum* restrict x, int island) {
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void mj_solveM_island(const mjModel* m, const mjData* d, mjtNum* restrict x, int island) {
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// if no islands, call mj_solveLD
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const mjtNum* qLD = d->qLD;
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const mjtNum* qLDiagInv = d->qLDiagInv;
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if (island < 0) {
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mj_solveLD(m, x, 1, qLD, qLDiagInv);
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mj_solveLDs(x, qLD, qLDiagInv, m->nv, 1,
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d->C_rownnz, d->C_rowadr, m->dof_simplenum, d->C_colind);
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return;
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}
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@@ -1730,14 +1736,6 @@ void mj_solveM_island(const mjModel* m, mjData* d, mjtNum* restrict x, int islan
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const int* colind = d->C_colind;
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const int* diagnum = m->dof_simplenum;
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// temporary: make local CSR version of qLD
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int nC = m->nC;
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mj_markStack(d);
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mjtNum* qLDs = mjSTACKALLOC(d, nC, mjtNum);
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for (int i=0; i < nC; i++) {
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qLDs[i] = d->qLD[d->mapM2C[i]];
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}
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// local constants: island specific
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int ndof = d->island_dofnum[island];
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const int* dofind = d->island_dofind + d->island_dofadr[island];
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@@ -1751,7 +1749,7 @@ void mj_solveM_island(const mjModel* m, mjData* d, mjtNum* restrict x, int islan
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int start = rowadr[i];
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int end = start + rownnz[i] - 1;
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for (int adr=end-1; adr >= start; adr--) {
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x[islandind[colind[adr]]] -= qLDs[adr] * x_k;
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x[islandind[colind[adr]]] -= qLD[adr] * x_k;
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}
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}
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}
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@@ -1773,11 +1771,9 @@ void mj_solveM_island(const mjModel* m, mjData* d, mjtNum* restrict x, int islan
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int start = rowadr[i];
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int end = start + rownnz[i] - 1;
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for (int adr=end-1; adr >= start; adr--) {
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x[k] -= x[islandind[colind[adr]]] * qLDs[adr];
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x[k] -= x[islandind[colind[adr]]] * qLD[adr];
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}
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}
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mj_freeStack(d);
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}
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@@ -1785,23 +1781,18 @@ void mj_solveM_island(const mjModel* m, mjData* d, mjtNum* restrict x, int islan
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// half of sparse backsubstitution: x = sqrt(inv(D))*inv(L')*y
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void mj_solveM2(const mjModel* m, mjData* d, mjtNum* x, const mjtNum* y,
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const mjtNum* sqrtInvD, int n) {
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int nv = m->nv;
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// local copies of key variables
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int nv = m->nv, nC = m->nC;
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const int* rownnz = d->C_rownnz;
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const int* rowadr = d->C_rowadr;
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const int* colind = d->C_colind;
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const int* diagnum = m->dof_simplenum;
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const mjtNum* qLD = d->qLD;
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// x = y
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mju_copy(x, y, n * nv);
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// temporary: make local CSR version of qLD
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mj_markStack(d);
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mjtNum* qLD = mjSTACKALLOC(d, nC, mjtNum);
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for (int i=0; i < nC; i++) {
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qLD[i] = d->qLD[d->mapM2C[i]];
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}
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// x <- L^-T x
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for (int i=nv-1; i > 0; i--) {
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// skip diagonal rows
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@@ -1831,8 +1822,6 @@ void mj_solveM2(const mjModel* m, mjData* d, mjtNum* x, const mjtNum* y,
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x[i+offset] *= invD_i;
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}
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}
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mj_freeStack(d);
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}
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@@ -71,9 +71,8 @@ MJAPI void mj_solveLDs(mjtNum* x, const mjtNum* qLDs, const mjtNum* qLDiagInv, i
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// sparse backsubstitution: x = inv(L'*D*L)*y, use factorization in d
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MJAPI void mj_solveM(const mjModel* m, mjData* d, mjtNum* x, const mjtNum* y, int n);
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// TODO(tassa): Restore mjData const-ness.
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// sparse backsubstitution for one island: x = inv(L'*D*L)*x, use factorization in d
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MJAPI void mj_solveM_island(const mjModel* m, mjData* d, mjtNum* x, int island);
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MJAPI void mj_solveM_island(const mjModel* m, const mjData* d, mjtNum* x, int island);
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// half of sparse backsubstitution: x = sqrt(inv(D))*inv(L')*y
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MJAPI void mj_solveM2(const mjModel* m, mjData* d, mjtNum* x, const mjtNum* y,
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+21
-13
@@ -770,7 +770,7 @@ static void mj_advance(const mjModel* m, mjData* d,
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// Euler integrator, semi-implicit in velocity, possibly skipping factorisation
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void mj_EulerSkip(const mjModel* m, mjData* d, int skipfactor) {
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TM_START;
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int nv = m->nv, nM = m->nM;
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int nv = m->nv, nC = m->nC;
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mj_markStack(d);
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mjtNum* qfrc = mjSTACKALLOC(d, nv, mjtNum);
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mjtNum* qacc = mjSTACKALLOC(d, nv, mjtNum);
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@@ -794,22 +794,23 @@ void mj_EulerSkip(const mjModel* m, mjData* d, int skipfactor) {
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// damping: integrate implicitly
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else {
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if (!skipfactor) {
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mjtNum* MhB = mjSTACKALLOC(d, nM, mjtNum);
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// MhB = M + h*diag(B)
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mju_copy(MhB, d->qM, nM);
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// qH = M + h*diag(B)
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for (int i=0; i < nC; i++) {
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d->qH[i] = d->qM[d->mapM2C[i]];
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}
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for (int i=0; i < nv; i++) {
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MhB[m->dof_Madr[i]] += m->opt.timestep * m->dof_damping[i];
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d->qH[d->C_rowadr[i] + d->C_rownnz[i] - 1] += m->opt.timestep * m->dof_damping[i];
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}
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// factor
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mj_factorI(m, d, MhB, d->qH, d->qHDiagInv);
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// factorize in-place
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mj_factorIs(d->qH, d->qHDiagInv, nv, d->C_rownnz, d->C_rowadr, m->dof_simplenum, d->C_colind);
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}
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// solve
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mju_add(qfrc, d->qfrc_smooth, d->qfrc_constraint, nv);
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mju_copy(qacc, qfrc, m->nv);
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mj_solveLD(m, qacc, 1, d->qH, d->qHDiagInv);
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mj_solveLDs(qacc, d->qH, d->qHDiagInv, nv, 1,
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d->C_rownnz, d->C_rowadr, m->dof_simplenum, d->C_colind);
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}
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// advance state and time
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@@ -938,7 +939,7 @@ void mj_RungeKutta(const mjModel* m, mjData* d, int N) {
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// fully implicit in velocity, possibly skipping factorization
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void mj_implicitSkip(const mjModel* m, mjData* d, int skipfactor) {
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TM_START;
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int nv = m->nv, nM = m->nM, nD = m->nD;
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int nv = m->nv, nM = m->nM, nD = m->nD, nC = m->nC;
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mj_markStack(d);
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mjtNum* qfrc = mjSTACKALLOC(d, nv, mjtNum);
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@@ -985,13 +986,20 @@ void mj_implicitSkip(const mjModel* m, mjData* d, int skipfactor) {
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// set MhB = M - dt*qDeriv
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mju_addScl(MhB, d->qM, MhB, -m->opt.timestep, nM);
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// factorize
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mj_factorI(m, d, MhB, d->qH, d->qHDiagInv);
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// copy into qH
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for (int i=0; i < nC; i++) {
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d->qH[i] = MhB[d->mapM2C[i]];
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}
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// factorize in-place
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mj_factorIs(d->qH, d->qHDiagInv, nv, d->C_rownnz, d->C_rowadr, m->dof_simplenum, d->C_colind);
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}
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// solve for qacc: (qM - dt*qDeriv) * qacc = qfrc
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mju_copy(qacc, qfrc, nv);
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mj_solveLD(m, qacc, 1, d->qH, d->qHDiagInv);
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mj_solveLDs(qacc, d->qH, d->qHDiagInv, nv, 1,
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d->C_rownnz, d->C_rowadr, m->dof_simplenum, d->C_colind);
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} else {
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mjERROR("integrator must be implicit or implicitfast");
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}
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@@ -1127,7 +1127,8 @@ void mj_printFormattedData(const mjModel* m, const mjData* d, const char* filena
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printInertia("QM", d->qM, m, fp, float_format);
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printInertia("QLD", d->qLD, m, fp, float_format);
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printSparse("QLD", d->qLD, m->nv, d->C_rownnz,
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d->C_rowadr, d->C_colind, fp, float_format);
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printArray("QLDIAGINV", m->nv, 1, d->qLDiagInv, fp, float_format);
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// B sparse structure
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@@ -1087,38 +1087,25 @@ void mj_mulM_island(const mjModel* m, const mjData* d, mjtNum* res, const mjtNum
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void mj_mulM2(const mjModel* m, const mjData* d, mjtNum* res, const mjtNum* vec) {
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int nv = m->nv;
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const mjtNum* qLD = d->qLD;
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const int* dofMadr = m->dof_Madr;
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mju_zero(res, nv);
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// res = L * vec
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for (int i=0; i < nv; i++) {
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// simple: diagonal
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if (m->dof_simplenum[i]) {
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res[i] = vec[i];
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}
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// diagonal
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res[i] = vec[i];
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// regular: full multiplication
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else {
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// diagonal
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res[i] += vec[i];
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// off-diagonal
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int j = m->dof_parentid[i];
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int adr = dofMadr[i] + 1;
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while (j >= 0) {
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res[i] += qLD[adr]*vec[j];
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// advance to next element
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j = m->dof_parentid[j];
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adr++;
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}
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// non-simple: add off-diagonals
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if (!m->dof_simplenum[i]) {
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int adr = d->C_rowadr[i];
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res[i] += mju_dotSparse(qLD+adr, vec, d->C_rownnz[i] - 1, d->C_colind+adr, /*flg_unc1=*/0);
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}
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}
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// res *= sqrt(D)
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for (int i=0; i < nv; i++) {
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res[i] *= mju_sqrt(qLD[dofMadr[i]]);
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int diag = d->C_rowadr[i] + d->C_rownnz[i] - 1;
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res[i] *= mju_sqrt(qLD[diag]);
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}
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}
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@@ -556,7 +556,8 @@ void mjv_initPerturb(const mjModel* m, mjData* d, const mjvScene* scn, mjvPertur
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// compute average spatial inertia at selection point
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for (int i=0; i < nv; i++) {
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sqrtInvD[i] = 1 / mju_sqrt(d->qLD[m->dof_Madr[i]]);
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int diag = d->C_rowadr[i] + d->C_rownnz[i] - 1;
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sqrtInvD[i] = 1 / mju_sqrt(d->qLD[diag]);
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}
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mj_jac(m, d, jac, NULL, selpos, sel);
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mj_solveM2(m, d, jacM2, jac, sqrtInvD, 3);
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