Reuse sparse Dof-Dof matrix to make compressed sparse M in mj_addM.
PiperOrigin-RevId: 556823353 Change-Id: I650ac83767d60c69859aae6e38aa331f43814378
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Copybara-Service
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@@ -1364,12 +1364,12 @@ static void HessianDirect(const mjModel* m, mjData* d, mjCGContext* ctx) {
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// sparse
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if (mj_isSparse(m)) {
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// create sparse inertia matrix M (uncompressed)
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mjtNum* M = mj_stackAlloc(d, nv*nv);
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int* M_rownnz = (int*) mj_stackAlloc(d, nv);
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int* M_rowadr = (int*) mj_stackAlloc(d, nv);
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int* M_colind = (int*) mj_stackAlloc(d, nv*nv);
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mj_createMSparse(m, d, M, M_rownnz, M_rowadr, M_colind);
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// create sparse inertia matrix M
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int nnz = m->nD; // use sparse dof-dof matrix
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int* M_rownnz = (int*) mj_stackAlloc(d, nv); // actual nnz count
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int* M_colind = (int*) mj_stackAlloc(d, nnz);
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mjtNum* M = mj_stackAlloc(d, nnz);
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mj_makeMSparse(m, d, M, M_rownnz, NULL, M_colind);
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// compute H = J'*D*J
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@@ -1384,7 +1384,7 @@ static void HessianDirect(const mjModel* m, mjData* d, mjCGContext* ctx) {
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// compute H = M + J'*D*J
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mj_addMSparse(m, d, ctx->H, ctx->rownnz, ctx->rowadr, ctx->colind,
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M, M_rownnz, M_rowadr, M_colind);
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M, M_rownnz, NULL, M_colind);
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// factorize H, uncompressed layout
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int rank = mju_cholFactorSparse(ctx->H, nv, mjMINVAL,
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+56
-50
@@ -950,14 +950,15 @@ void mj_addM(const mjModel* m, mjData* d, mjtNum* dst,
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if (rownnz && rowadr && colind) {
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int nv = m->nv;
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mjMARKSTACK;
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// create sparse inertia matrix M (uncompressed)
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mjtNum* M = mj_stackAlloc(d, nv*nv);
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int* M_rownnz = (int*) mj_stackAlloc(d, nv);
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int* M_rowadr = (int*) mj_stackAlloc(d, nv);
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int* M_colind = (int*) mj_stackAlloc(d, nv*nv);
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mj_createMSparse(m, d, M, M_rownnz, M_rowadr, M_colind);
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// create sparse inertia matrix M
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int nnz = m->nD; // use sparse dof-dof matrix
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int* M_rownnz = (int*) mj_stackAlloc(d, nv); // actual nnz count
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int* M_colind = (int*) mj_stackAlloc(d, nnz);
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mjtNum* M = mj_stackAlloc(d, nnz);
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mj_makeMSparse(m, d, M, M_rownnz, NULL, M_colind);
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mj_addMSparse(m, d, dst, rownnz, rowadr, colind, M,
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M_rownnz, M_rowadr, M_colind);
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M_rownnz, NULL, M_colind);
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mjFREESTACK;
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}
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@@ -969,65 +970,64 @@ void mj_addM(const mjModel* m, mjData* d, mjtNum* dst,
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// create inertia matrix M (uncompressed)
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void mj_createMSparse(const mjModel* m, mjData* d, mjtNum* M,
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int* M_rownnz, int* M_rowadr, int* M_colind) {
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int adr, adr1, nv = m->nv;
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// make inertia matrix M
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void mj_makeMSparse(const mjModel* m, mjData* d, mjtNum* M,
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int* M_rownnz, int* M_rowadr, int* M_colind) {
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int nv = m->nv;
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// currently the sparse dof-dof matrix D row addresses are used, since D has
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// the same predetermined sparsity structure as M, however with simple bodies
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// M has less non-zeros and can be precounted for further memory reduction
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if (M_rowadr == NULL) {
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M_rowadr = d->D_rowadr;
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}
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// build M into sparse format, lower-triangular
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for (int i=0; i < nv; i++) {
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M_rowadr[i] = i*nv;
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adr = m->dof_Madr[i];
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// build M into sparse format, lower triangle
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for (int i = 0; i < nv; i++) {
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int Madr = m->dof_Madr[i];
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// simple, fill diagonal only
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if (m->dof_simplenum[i]) {
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M[i*nv] = d->qM[adr];
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M_colind[i*nv] = i;
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M_rownnz[i] = 1;
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M[M_rowadr[i]] = d->qM[Madr];
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M_colind[M_rowadr[i]] = i;
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continue;
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}
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// backward pass over dofs: construct M_row(i) in reverse order
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int j = i;
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adr1 = 0;
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while (j >= 0) {
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// assign
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M[i*nv+adr1] = d->qM[adr];
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M_colind[i*nv+adr1] = j;
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// count columns
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adr1++;
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// advance
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adr++;
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j = m->dof_parentid[j];
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int col = M_rowadr[i]; // current column in row i
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for (int j = i; j >= 0; j = m->dof_parentid[j]) {
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M[col] = d->qM[Madr++];
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M_colind[col++] = j;
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}
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// assign row descriptors
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M_rownnz[i] = adr1;
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// track nnz of lower triangle for row i
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int nnz = M_rownnz[i] = col - M_rowadr[i];
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// reverse order
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for (int k=0; k < adr1/2; k++) {
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mjtNum tmp = M[i*nv+k];
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M[i*nv+k] = M[i*nv+adr1-1-k];
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M[i*nv+adr1-1-k] = tmp;
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int end = nnz >> 1;
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for (int j = 0; j < end; j++) {
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int a1 = M_rowadr[i] + j; // address 1
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int a2 = (M_rowadr[i] + nnz - 1) - j; // address 2
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int tmpi = M_colind[i*nv+k];
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M_colind[i*nv+k] = M_colind[i*nv+adr1-1-k];
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M_colind[i*nv+adr1-1-k] = tmpi;
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// swap M data on row i
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mjtNum val = M[a1];
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M[a1] = M[a2];
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M[a2] = val;
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// swap M column indices on row i
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int ind = M_colind[a1];
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M_colind[a1] = M_colind[a2];
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M_colind[a2] = ind;
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}
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}
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// make symmetric
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for (int i=1; i < nv; i++) {
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if (m->dof_simplenum[i]) {
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continue;
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}
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for (int k=nv*i; k < nv*i+M_rownnz[i]-1; k++) {
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// add to row given by column index
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adr1 = nv*M_colind[k] + M_rownnz[M_colind[k]]++;
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M[adr1] = M[k];
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M_colind[adr1] = i;
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// fill upper triangle
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for (int i = 1; i < nv; i++) {
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int end = M_rowadr[i] + M_rownnz[i] - 1;
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for (int j = M_rowadr[i]; j < end; j++) {
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int a = M_rowadr[M_colind[j]] + M_rownnz[M_colind[j]]++;
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M[a] = M[j];
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M_colind[a] = i;
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}
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}
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}
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@@ -1039,6 +1039,12 @@ void mj_addMSparse(const mjModel* m, mjData* d, mjtNum* dst,
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int* rownnz, int* rowadr, int* colind, mjtNum* M,
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int* M_rownnz, int* M_rowadr, int* M_colind) {
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int nv = m->nv;
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// currently the sparse dof-dof matrix D row addresses are used, since D has
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// the same predetermined sparsity structure as M, however with simple bodies
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// M has less non-zeros and can be precounted for further memory reduction
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if (M_rowadr == NULL) {
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M_rowadr = d->D_rowadr;
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}
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mjMARKSTACK;
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int* buf_ind = (int*) mj_stackAlloc(d, nv);
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@@ -116,9 +116,9 @@ MJAPI void mj_mulM2(const mjModel* m, const mjData* d, mjtNum* res, const mjtNum
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MJAPI void mj_addM(const mjModel* m, mjData* d, mjtNum* dst,
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int* rownnz, int* rowadr, int* colind);
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// create inertia matrix M (uncompressed)
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MJAPI void mj_createMSparse(const mjModel* m, mjData* d, mjtNum* M,
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int* M_rownnz, int* M_rowadr, int* M_colind);
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// make inertia matrix M
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MJAPI void mj_makeMSparse(const mjModel* m, mjData* d, mjtNum* M,
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int* M_rownnz, int* M_rowadr, int* M_colind);
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// add inertia matrix to sparse destination matrix
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MJAPI void mj_addMSparse(const mjModel* m, mjData* d, mjtNum* dst,
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@@ -16,10 +16,10 @@
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#include <random>
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#include <string>
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#include <vector>
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#include <gmock/gmock.h>
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#include <gtest/gtest.h>
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#include <mujoco/mujoco.h>
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#include "test/fixture.h"
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@@ -34,6 +34,7 @@ using ::testing::DoubleNear;
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using ::testing::ContainsRegex;
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using ::testing::MatchesRegex;
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using ::testing::Pointwise;
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using ::testing::ElementsAreArray;
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using JacobianTest = MujocoTest;
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static const mjtNum max_abs_err = std::numeric_limits<float>::epsilon();
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@@ -405,5 +406,52 @@ TEST_F(SupportTest, GetSetStateStepEqual) {
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mj_deleteModel(model);
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}
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using AddMTest = MujocoTest;
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TEST_F(AddMTest, DenseSameAsSparse) {
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mjModel* m = LoadModelFromPath("humanoid100/humanoid100.xml");
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mjData* d = mj_makeData(m);
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int nv = m->nv;
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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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// dense zero matrix
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std::vector<mjtNum> dst_sparse = std::vector(nv * nv, 0.0);
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// sparse zero matrix
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std::vector<mjtNum> dst_dense = std::vector(nv * nv, 0.0);
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std::vector<int> rownnz = std::vector(nv, nv);
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std::vector<int> rowadr = std::vector(nv, 0);
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std::vector<int> colind = std::vector(nv * nv, 0);
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// set sparse structure
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for (int i = 0; i < nv; i++) {
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rowadr[i] = i * nv;
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for (int j = 0; j < nv; j++) {
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colind[rowadr[i] + j] = j;
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}
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}
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// sparse addM
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mj_addM(m, d, dst_sparse.data(), rownnz.data(),
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rowadr.data(), colind.data());
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// dense addM
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mj_addM(m, d, dst_dense.data(), NULL, NULL, NULL);
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// dense comparison, should be same matrix
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EXPECT_THAT(dst_dense, ElementsAreArray(dst_sparse));
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// clean up
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mj_deleteData(d);
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mj_deleteModel(m);
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}
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} // namespace
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} // namespace mujoco
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