Speed up sparse supernode detection by combining it with transposition.
PiperOrigin-RevId: 760673008 Change-Id: I6d66580e675fd86e5b974859383f93f87482ca16
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Copybara-Service
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ced630181d
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45fc15b844
@@ -1996,7 +1996,7 @@ void mj_makeConstraint(const mjModel* m, mjData* d) {
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if (mj_isSparse(m)) {
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// transpose
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mju_transposeSparse(d->efc_JT, d->efc_J, d->nefc, m->nv,
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d->efc_JT_rownnz, d->efc_JT_rowadr, d->efc_JT_colind,
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d->efc_JT_rownnz, d->efc_JT_rowadr, d->efc_JT_colind, d->efc_JT_rowsuper,
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d->efc_J_rownnz, d->efc_J_rowadr, d->efc_J_colind);
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@@ -2010,10 +2010,6 @@ void mj_makeConstraint(const mjModel* m, mjData* d) {
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__msan_allocated_memory(d->efc_J_rowsuper, d->nefc);
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#endif // MEMORY_SANITIZER
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#endif // mjUSEAVX
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// supernodes of JT
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mju_superSparse(m->nv, d->efc_JT_rowsuper,
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d->efc_JT_rownnz, d->efc_JT_rowadr, d->efc_JT_colind);
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}
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// compute diagApprox
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@@ -2182,7 +2178,7 @@ void mj_projectConstraint(const mjModel* m, mjData* d) {
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int* BT_colind = mjSTACKALLOC(d, nB, int);
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mjtNum* BT = mjSTACKALLOC(d, nB, mjtNum);
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mju_transposeSparse(BT, B, nefc, nv,
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BT_rownnz, BT_rowadr, BT_colind,
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BT_rownnz, BT_rowadr, BT_colind, NULL,
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B_rownnz, B_rowadr, B_colind);
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// allocate AR row nonzeros and addresses on arena
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@@ -1572,7 +1572,7 @@ static void MakeHessian(mjData* d, mjCGContext* ctx) {
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int* HT_rowadr = mjSTACKALLOC(d, nv, int);
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int* HT_colind = mjSTACKALLOC(d, ctx->nH, int);
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mju_transposeSparse(NULL, NULL, nv, nv,
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HT_rownnz, HT_rowadr, HT_colind,
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HT_rownnz, HT_rowadr, HT_colind, NULL,
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ctx->H_rownnz, ctx->H_rowadr, ctx->H_colind);
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// count total and row non-zeros of reverse-Cholesky factor L
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@@ -531,9 +531,9 @@ int mju_compressSparse(mjtNum* mat, int nr, int nc, int* rownnz, int* rowadr, in
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// transpose sparse matrix
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// transpose sparse matrix, optionally compute row supernodes
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void mju_transposeSparse(mjtNum* res, const mjtNum* mat, int nr, int nc,
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int* res_rownnz, int* res_rowadr, int* res_colind,
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int* res_rownnz, int* res_rowadr, int* res_colind, int* res_rowsuper,
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const int* rownnz, const int* rowadr, const int* colind) {
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// clear number of non-zeros for each row of transposed
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mju_zeroInt(res_rownnz, nc);
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@@ -547,22 +547,40 @@ void mju_transposeSparse(mjtNum* res, const mjtNum* mat, int nr, int nc,
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}
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}
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// init res_rowsuper
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if (res_rowsuper) {
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for (int i = 0; i < nc - 1; i++) {
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res_rowsuper[i] = (res_rownnz[i] == res_rownnz[i + 1]);
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}
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res_rowsuper[nc - 1] = 0;
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}
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// compute the row addresses for the transposed matrix
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res_rowadr[0] = 0;
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for (int i = 1; i < nc; i++) {
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res_rowadr[i] = res_rowadr[i-1] + res_rownnz[i-1];
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}
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// iterate through each non-zero entry of mat
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// iterate through each row (column) of mat (res)
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for (int r = 0; r < nr; r++) {
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int c_prev = -1;
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int start = rowadr[r];
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int end = start + rownnz[r];
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for (int i = start; i < end; i++) {
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// swap rows with columns and increment res_rowadr
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int c = res_rowadr[colind[i]]++;
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res_colind[c] = r;
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int c = colind[i];
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int adr = res_rowadr[c]++;
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res_colind[adr] = r;
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if (res) {
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res[c] = mat[i];
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res[adr] = mat[i];
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}
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// mark non-supernodes
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if (res_rowsuper) {
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if (c > 0 && c != c_prev + 1 && res_rowsuper[c - 1]) {
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res_rowsuper[c - 1] = 0;
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}
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c_prev = c;
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}
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}
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}
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@@ -571,8 +589,16 @@ void mju_transposeSparse(mjtNum* res, const mjtNum* mat, int nr, int nc,
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for (int i = nc-1; i > 0; i--) {
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res_rowadr[i] = res_rowadr[i-1];
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}
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res_rowadr[0] = 0;
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// accumulate supernodes
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if (res_rowsuper) {
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for (int i = nc - 2; i >= 0; i--) {
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if (res_rowsuper[i]) {
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res_rowsuper[i] += res_rowsuper[i + 1];
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}
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}
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}
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}
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@@ -91,9 +91,9 @@ int mju_addToSparseMat(mjtNum* dst, const mjtNum* src, int n, int nrow, mjtNum s
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int mju_addChains(int* res, int n, int NV1, int NV2,
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const int* chain1, const int* chain2);
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// transpose sparse matrix
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// transpose sparse matrix, optionally compute row supernodes
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MJAPI void mju_transposeSparse(mjtNum* res, const mjtNum* mat, int nr, int nc,
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int* res_rownnz, int* res_rowadr, int* res_colind,
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int* res_rownnz, int* res_rowadr, int* res_colind, int* res_rowsuper,
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const int* rownnz, const int* rowadr, const int* colind);
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// construct row supernodes
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@@ -152,8 +152,8 @@ void ABSL_ATTRIBUTE_NOINLINE mju_sqrMatTDSparse_baseline(
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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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int* res_rowadr, int* res_colind, const int* rownnz, const int* rowadr,
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const int* colind) {
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int* res_rowadr, int* res_colind, int* res_rowsuper,
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const int* rownnz, const int* rowadr, const int* colind) {
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memset(res_rownnz, 0, nc * sizeof(int));
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for (int rt = 0; rt < nc; rt++) {
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res_rowadr[rt] = rt * nr;
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@@ -497,7 +497,14 @@ void ABSL_ATTRIBUTE_NO_TAIL_CALL BM_combineSparse_old(
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}
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BENCHMARK(BM_combineSparse_old);
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static void BM_transposeSparse(benchmark::State& state, TransposeFuncPtr func) {
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enum class Supernode {
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None,
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PostProcess,
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Inline
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};
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static void BM_transposeSparse(benchmark::State& state, TransposeFuncPtr func,
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Supernode super) {
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static mjModel* m = LoadModelFromPath("humanoid/humanoid100.xml");
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// force use of sparse matrices
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@@ -516,12 +523,19 @@ static void BM_transposeSparse(benchmark::State& state, TransposeFuncPtr func) {
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mjtNum* res = mj_stackAllocNum(d, m->nv * d->nefc);
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int* res_rownnz = mj_stackAllocInt(d, m->nv);
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int* res_rowadr = mj_stackAllocInt(d, m->nv);
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int* res_rowsuper = mj_stackAllocInt(d, m->nv);
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int* res_colind = mj_stackAllocInt(d, m->nv * d->nefc);
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// time benchmark
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for (auto s : state) {
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func(res, d->efc_J, d->nefc, m->nv, res_rownnz, res_rowadr, res_colind,
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int* rowsuper = (super == Supernode::Inline) ? res_rowsuper : nullptr;
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func(res, d->efc_J, d->nefc, m->nv,
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res_rownnz, res_rowadr, res_colind, rowsuper,
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d->efc_J_rownnz, d->efc_J_rowadr, d->efc_J_colind);
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if (super == Supernode::PostProcess) {
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mju_superSparse(m->nv, res_rowsuper,
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res_rownnz, res_rowadr, res_colind);
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}
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}
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mj_freeStack(d);
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@@ -529,19 +543,33 @@ static void BM_transposeSparse(benchmark::State& state, TransposeFuncPtr func) {
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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_transposeSparse_old(benchmark::State& state) {
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MujocoErrorTestGuard guard;
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BM_transposeSparse(state, &transposeSparse_baseline, Supernode::None);
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}
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BENCHMARK(BM_transposeSparse_old);
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void ABSL_ATTRIBUTE_NO_TAIL_CALL
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BM_transposeSparse_new(benchmark::State& state) {
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MujocoErrorTestGuard guard;
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BM_transposeSparse(state, &mju_transposeSparse);
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BM_transposeSparse(state, &mju_transposeSparse, Supernode::None);
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}
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BENCHMARK(BM_transposeSparse_new);
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void ABSL_ATTRIBUTE_NO_TAIL_CALL
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BM_transposeSparse_old(benchmark::State& state) {
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BM_transposeSparse_superpost(benchmark::State& state) {
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MujocoErrorTestGuard guard;
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BM_transposeSparse(state, &transposeSparse_baseline);
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BM_transposeSparse(state, &mju_transposeSparse, Supernode::PostProcess);
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}
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BENCHMARK(BM_transposeSparse_old);
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BENCHMARK(BM_transposeSparse_superpost);
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void ABSL_ATTRIBUTE_NO_TAIL_CALL
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BM_transposeSparse_superinline(benchmark::State& state) {
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MujocoErrorTestGuard guard;
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BM_transposeSparse(state, &mju_transposeSparse, Supernode::Inline);
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}
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BENCHMARK(BM_transposeSparse_superinline);
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static void BM_sqrMatTDSparse(benchmark::State& state, SqrMatTDFuncPtr func) {
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static mjModel* m =
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@@ -173,8 +173,8 @@ TEST_F(EngineUtilSparseTest, MjuTranspose3by3) {
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int rownnzT[] = {0, 0, 0};
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int rowadrT[] = {0, 0, 0};
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mju_transposeSparse(matT, mat, 3, 3, rownnzT, rowadrT, colindT, rownnz,
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rowadr, colind);
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mju_transposeSparse(matT, mat, 3, 3, rownnzT, rowadrT, colindT, nullptr,
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rownnz, rowadr, colind);
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EXPECT_THAT(matT, ElementsAre(1, 2, 1, 3));
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EXPECT_THAT(colindT, ElementsAre(0, 0, 1, 2));
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@@ -197,8 +197,8 @@ TEST_F(EngineUtilSparseTest, MjuTranspose1by3) {
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int rownnzT[] = {0, 0, 0};
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int rowadrT[] = {0, 0, 0};
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mju_transposeSparse(matT, mat, 1, 3, rownnzT, rowadrT, colindT, rownnz,
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rowadr, colind);
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mju_transposeSparse(matT, mat, 1, 3, rownnzT, rowadrT, colindT, nullptr,
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rownnz, rowadr, colind);
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EXPECT_THAT(matT, ElementsAre(1, 3));
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EXPECT_THAT(colindT, ElementsAre(0, 0));
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@@ -221,8 +221,8 @@ TEST_F(EngineUtilSparseTest, MjuTranspose3by1) {
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int rownnzT[] = {0};
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int rowadrT[] = {0};
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mju_transposeSparse(matT, mat, 3, 1, rownnzT, rowadrT, colindT, rownnz,
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rowadr, colind);
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mju_transposeSparse(matT, mat, 3, 1, rownnzT, rowadrT, colindT, nullptr,
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rownnz, rowadr, colind);
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EXPECT_THAT(matT, ElementsAre(1, 3));
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EXPECT_THAT(colindT, ElementsAre(0, 2));
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@@ -244,14 +244,43 @@ TEST_F(EngineUtilSparseTest, MjuTransposeDense) {
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int colindT[] = {0, 0, 0, 0, 0, 0, 0, 0, 0};
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int rownnzT[] = {0, 0, 0};
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int rowadrT[] = {0, 0, 0};
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int rowsuperT[] = {0, 0, 0};
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mju_transposeSparse(matT, mat, 3, 3, rownnzT, rowadrT, colindT, rownnz,
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rowadr, colind);
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mju_transposeSparse(matT, mat, 3, 3, rownnzT, rowadrT, colindT, rowsuperT,
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rownnz, rowadr, colind);
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EXPECT_THAT(matT, ElementsAre(1, 4, 7, 2, 5, 8, 3, 6, 9));
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EXPECT_THAT(colindT, ElementsAre(0, 1, 2, 0, 1, 2, 0, 1, 2));
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EXPECT_THAT(rownnzT, ElementsAre(3, 3, 3));
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EXPECT_THAT(rowadrT, ElementsAre(0, 3, 6));
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EXPECT_THAT(rowsuperT, ElementsAre(2, 1, 0));
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}
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TEST_F(EngineUtilSparseTest, MjuTransposeSuper) {
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// mat: 0, 1, 2, 0, 3, 4, 5, 0, 0, 0, 0, 0, 0
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// 0, 0, 0, 6, 7, 8, 9, 10, 11, 12, 0, 0, 0
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//
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// super: 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0
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mjtNum mat[] = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12};
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int colind[] = {1, 2, 4, 5, 6, 3, 4, 5, 6, 7, 8, 9};
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int rownnz[] = {5, 7};
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int rowadr[] = {0, 5};
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mjtNum matT[] = {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0};
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int colindT[] = {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0};
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int rownnzT[] = {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0};
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int rowadrT[] = {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0};
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int rowsuperT[] = {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0};
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mju_transposeSparse(matT, mat, 2, 13, rownnzT, rowadrT, colindT, rowsuperT,
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rownnz, rowadr, colind);
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EXPECT_THAT(matT, ElementsAre(1, 2, 6, 3, 7, 4, 8, 5, 9, 10, 11, 12));
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EXPECT_THAT(colindT, ElementsAre(0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1));
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EXPECT_THAT(rownnzT, ElementsAre(0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0));
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EXPECT_THAT(rowadrT, ElementsAre(0, 0, 1, 2, 3, 5, 7, 9, 10, 11, 12, 12, 12));
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EXPECT_THAT(rowsuperT, ElementsAre(0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0));
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}
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TEST_F(EngineUtilSparseTest, MjuTranspose1by1) {
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@@ -267,8 +296,8 @@ TEST_F(EngineUtilSparseTest, MjuTranspose1by1) {
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int rownnzT[] = {0};
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int rowadrT[] = {0};
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mju_transposeSparse(matT, mat, 1, 1, rownnzT, rowadrT, colindT, rownnz,
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rowadr, colind);
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mju_transposeSparse(matT, mat, 1, 1, rownnzT, rowadrT, colindT, nullptr,
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rownnz, rowadr, colind);
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EXPECT_THAT(matT, ElementsAre(1));
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EXPECT_THAT(colindT, ElementsAre(0));
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@@ -289,8 +318,8 @@ TEST_F(EngineUtilSparseTest, MjuTransposeNullMatrix) {
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int rownnzT[] = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9};
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int rowadrT[] = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9};
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mju_transposeSparse(matT, mat, 10, 10, rownnzT, rowadrT, colindT, rownnz,
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rowadr, colind);
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mju_transposeSparse(matT, mat, 10, 10, rownnzT, rowadrT, colindT, nullptr,
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rownnz, rowadr, colind);
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EXPECT_THAT(rownnzT, ElementsAre(0, 0, 0, 0, 0, 0, 0, 0, 0, 0));
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EXPECT_THAT(rowadrT, ElementsAre(0, 0, 0, 0, 0, 0, 0, 0, 0, 0));
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