Provide improved mju_sqrMatTDSparse implementation that doesn't require dense memory allocation for sparse matrices.
PiperOrigin-RevId: 516812783 Change-Id: Ieb43337831d8d3b2c7f18a7facd8e0a0f2b0eff5
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Copybara-Service
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@@ -28,6 +28,7 @@ namespace {
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using CombineFuncPtr = decltype(&mju_combineSparse);
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using TransposeFuncPtr = decltype(&mju_transposeSparse);
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using SqrMatTDFuncPtr = decltype(&mju_sqrMatTDSparse);
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// number of steps to roll out before benchmarking
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static const int kNumWarmupSteps = 500;
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@@ -39,6 +40,117 @@ std::vector<mjtNum> AsVector(const mjtNum* array, int n) {
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// ----------------------------- old functions --------------------------------
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void ABSL_ATTRIBUTE_NOINLINE mju_sqrMatTDSparse_baseline(
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mjtNum* res, const mjtNum* mat, const mjtNum* matT, const mjtNum* diag,
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int nr, int nc, int* res_rownnz, int* res_rowadr, int* res_colind,
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const int* rownnz, const int* rowadr, const int* colind,
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const int* rowsuper, const int* rownnzT, const int* rowadrT,
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const int* colindT, const int* rowsuperT, mjData* d) {
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mjMARKSTACK;
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int* chain = (int*)mj_stackAlloc(d, 2 * nc);
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mjtNum* buffer = mj_stackAlloc(d, nc);
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for (int r = 0; r < nc; r++) {
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res_rowadr[r] = r * nc;
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}
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for (int r = 0; r < nc; r++) {
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if (rowsuperT && r > 0 && rowsuperT[r - 1] > 0) {
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res_rownnz[r] = res_rownnz[r - 1];
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memcpy(res_colind + res_rowadr[r], res_colind + res_rowadr[r - 1],
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res_rownnz[r] * sizeof(int));
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if (rownnzT[r]) {
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res_colind[res_rowadr[r] + res_rownnz[r]] = r;
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res_rownnz[r]++;
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}
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} else {
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int nchain = 0;
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int inew = 0, iold = nc;
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int lastadded = -1;
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for (int i = 0; i < rownnzT[r]; i++) {
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int c = colindT[rowadrT[r] + i];
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if (rowsuper && lastadded >= 0 &&
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(c - lastadded) <= rowsuper[lastadded]) {
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continue;
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} else {
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lastadded = c;
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}
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int adr = inew;
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inew = iold;
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iold = adr;
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int nnewchain = 0;
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adr = 0;
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int end = rowadr[c] + rownnz[c];
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for (int adr1 = rowadr[c]; adr1 < end; adr1++) {
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int col_mat = colind[adr1];
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while (adr < nchain && chain[iold + adr] < col_mat &&
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chain[iold + adr] <= r) {
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chain[inew + nnewchain++] = chain[iold + adr++];
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}
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if (col_mat > r) {
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break;
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}
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if (adr < nchain && chain[iold + adr] == col_mat) {
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adr++;
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}
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chain[inew + nnewchain++] = col_mat;
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}
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while (adr < nchain && chain[iold + adr] <= r) {
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chain[inew + nnewchain++] = chain[iold + adr++];
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}
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nchain = nnewchain;
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}
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res_rownnz[r] = nchain;
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if (nchain) {
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memcpy(res_colind + res_rowadr[r], chain + inew, nchain * sizeof(int));
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}
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}
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}
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for (int r = 0; r < nc; r++) {
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int adr = res_rowadr[r];
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for (int i = 0; i < res_rownnz[r]; i++) {
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buffer[res_colind[adr + i]] = 0;
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}
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for (int i = 0; i < rownnzT[r]; i++) {
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int c = colindT[rowadrT[r] + i];
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mjtNum matTrc = matT[rowadrT[r] + i];
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if (diag) {
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matTrc *= diag[c];
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}
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int end = rowadr[c] + rownnz[c];
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for (int adr = rowadr[c]; adr < end; adr++) {
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int adr1;
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if ((adr1 = colind[adr]) > r) {
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break;
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}
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buffer[adr1] += matTrc * mat[adr];
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}
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}
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adr = res_rowadr[r];
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for (int i = 0; i < res_rownnz[r]; i++) {
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res[adr + i] = buffer[res_colind[adr + i]];
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}
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}
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for (int r = 1; r < nc; r++) {
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int end = res_rowadr[r] + res_rownnz[r] - 1;
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for (int adr = res_rowadr[r]; adr < end; adr++) {
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int adr1 = res_rowadr[res_colind[adr]] + res_rownnz[res_colind[adr]]++;
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res[adr1] = res[adr];
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res_colind[adr1] = r;
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}
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}
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mjFREESTACK;
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}
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// transpose sparse matrix (uncompressed)
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void ABSL_ATTRIBUTE_NOINLINE transposeSparse_baseline(
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mjtNum* res, const mjtNum* mat, int nr, int nc, int* res_rownnz,
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@@ -426,8 +538,79 @@ BM_transposeSparse_old(benchmark::State& state) {
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MujocoErrorTestGuard guard;
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BM_transposeSparse(state, &transposeSparse_baseline);
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}
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BENCHMARK(BM_transposeSparse_old);
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static void BM_sqrMatTDSparse(benchmark::State& state, SqrMatTDFuncPtr func) {
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static mjModel* m = LoadModelFromPath("humanoid100/humanoid100.xml");
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mjData* d = mj_makeData(m);
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// force use of sparse matrices
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m->opt.jacobian = mjJAC_SPARSE;
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// warm-up rollout to get a typical state
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while (d->time < 2) {
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mj_step(m, d);
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}
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// allocate
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mjMARKSTACK;
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mjtNum* H = mj_stackAlloc(d, m->nv * m->nv);
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int* rownnz = (int*)mj_stackAlloc(d, m->nv);
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int* rowadr = (int*)mj_stackAlloc(d, m->nv);
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int* colind = (int*)mj_stackAlloc(d, m->nv * m->nv);
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// compute D corresponding to quad states
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mjtNum* D = mj_stackAlloc(d, d->nefc);
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for (int i = 0; i < d->nefc; i++) {
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if (d->efc_state[i] == mjCNSTRSTATE_QUADRATIC) {
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D[i] = d->efc_D[i];
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} else {
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D[i] = 0;
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}
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}
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// time benchmark
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if (func) {
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for (auto s : state) {
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// compute H = J'*D*J, uncompressed layout
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func(H, d->efc_J, d->efc_JT, D, d->nefc, m->nv, rownnz, rowadr, colind,
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d->efc_J_rownnz, d->efc_J_rowadr, d->efc_J_colind, NULL,
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d->efc_JT_rownnz, d->efc_JT_rowadr, d->efc_JT_colind,
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d->efc_JT_rowsuper, d);
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}
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} else {
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for (auto s : state) {
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// baseline depends on efc_J_rowsuper
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mju_superSparse(d->nefc, d->efc_J_rowsuper,
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d->efc_J_rownnz, d->efc_J_rowadr, d->efc_J_colind);
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// compute H = J'*D*J, uncompressed layout
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mju_sqrMatTDSparse_baseline(H, d->efc_J, d->efc_JT, D, d->nefc, m->nv, rownnz, rowadr, colind,
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d->efc_J_rownnz, d->efc_J_rowadr, d->efc_J_colind, d->efc_J_rowsuper,
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d->efc_JT_rownnz, d->efc_JT_rowadr, d->efc_JT_colind,
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d->efc_JT_rowsuper, d);
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}
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}
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// finalize
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mjFREESTACK;
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mj_deleteData(d);
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state.SetItemsProcessed(state.iterations());
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}
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void ABSL_ATTRIBUTE_NO_TAIL_CALL
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BM_sqrMatTDSparse_new(benchmark::State& state) {
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MujocoErrorTestGuard guard;
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BM_sqrMatTDSparse(state, &mju_sqrMatTDSparse);
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}
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BENCHMARK(BM_sqrMatTDSparse_new);
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void ABSL_ATTRIBUTE_NO_TAIL_CALL
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BM_sqrMatTDSparse_old(benchmark::State& state) {
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MujocoErrorTestGuard guard;
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BM_sqrMatTDSparse(state, nullptr);
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}
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BENCHMARK(BM_sqrMatTDSparse_old);
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} // namespace
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} // namespace mujoco
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