Merge pull request #3437 from smallquail:flex-rotation-fix
PiperOrigin-RevId: 955127380 Change-Id: Ie31ab56f7d64dd1a2266828c0fcd3683b55768a5
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@@ -245,7 +245,7 @@ void mjd_subQuat(const mjtNum qa[4], const mjtNum qb[4], mjtNum Da[9], mjtNum Db
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// add term linear in K * K
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mjtNum KK[9];
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mju_mulMatMat3(KK, K, K);
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mji_mulMatMat3(KK, K, K);
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mjtNum coef = 1.0 - (half_angle < 6e-8 ? 1.0 : half_angle / mju_tan(half_angle));
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mju_addToScl(Da_tmp, KK, coef, 9);
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@@ -313,7 +313,7 @@ void mjd_quatIntegrate(const mjtNum vel[3], mjtNum scale,
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if (Dvel || Dscale) Dvel_[i] = b*eye[i] + c*cross[i] + d*outer[i];
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}
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if (Dvel) mju_copy9(Dvel, Dvel_);
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if (Dscale) mju_mulMatVec3(Dscale, Dvel_, vel);
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if (Dscale) mji_mulMatVec3(Dscale, Dvel_, vel);
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}
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@@ -1247,9 +1247,9 @@ static void mjd_flexInterp_kernel(const mjModel* m, mjData* d,
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}
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// tmp = K * R
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mju_mulMatMat3(tmp, blk, R);
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mji_mulMatMat3(tmp, blk, R);
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// blk = RT * tmp = RT * K * R
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mju_mulMatMat3(blk, RT, tmp);
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mji_mulMatMat3(blk, RT, tmp);
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// store in K_rot_cell at (a, b)
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int adr_out = (3*a)*dim_e + 3*b;
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@@ -1455,12 +1455,21 @@ void mjd_flexStretch_mul(const mjModel* m, mjData* d, mjtNum* res, const mjtNum*
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int v0 = vert[edge[e][0]], v1 = vert[edge[e][1]];
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int b0 = bodyid[v0], b1 = bodyid[v1];
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g[e] = 0;
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// the vertex bodies' slide dofs are expressed in their own (possibly rotated) frame while
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// the stiffness is built from world-space edge vectors, so the operator must be sandwiched
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// with R (dof -> world) and R^T (world -> dof); mj_flexPassiveStretch applies the same R^T
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// to its world-space force. R = I for the common case of an unrotated parent body.
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mjtNum w0[3] = {0}, w1[3] = {0};
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if (m->body_dofnum[b0]) {
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mji_mulMatVec3(w0, d->xmat + 9*b0, vec + m->body_dofadr[b0]);
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}
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if (m->body_dofnum[b1]) {
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mji_mulMatVec3(w1, d->xmat + 9*b1, vec + m->body_dofadr[b1]);
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}
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for (int x = 0; x < 3; x++) {
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dvec[e][x] = xpos[3*v0+x] - xpos[3*v1+x];
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mjtNum dv = 0;
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if (m->body_dofnum[b0]) dv += vec[m->body_dofadr[b0]+x];
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if (m->body_dofnum[b1]) dv -= vec[m->body_dofadr[b1]+x];
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g[e] += dvec[e][x]*dv;
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g[e] += dvec[e][x]*(w0[x] - w1[x]);
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}
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}
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@@ -1483,9 +1492,21 @@ void mjd_flexStretch_mul(const mjModel* m, mjData* d, mjtNum* res, const mjtNum*
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}
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coef *= 2*scale;
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int b0 = bodyid[vert[edge[e][0]]], b1 = bodyid[vert[edge[e][1]]];
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mjtNum rw[3], rl[3];
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for (int x = 0; x < 3; x++) {
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if (m->body_dofnum[b0]) res[m->body_dofadr[b0]+x] += coef*dvec[e][x];
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if (m->body_dofnum[b1]) res[m->body_dofadr[b1]+x] -= coef*dvec[e][x];
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rw[x] = coef*dvec[e][x];
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}
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if (m->body_dofnum[b0]) { // world -> dof frame
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mji_mulMatTVec3(rl, d->xmat + 9*b0, rw);
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for (int x = 0; x < 3; x++) {
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res[m->body_dofadr[b0]+x] += rl[x];
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}
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}
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if (m->body_dofnum[b1]) {
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mji_mulMatTVec3(rl, d->xmat + 9*b1, rw);
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for (int x = 0; x < 3; x++) {
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res[m->body_dofadr[b1]+x] -= rl[x];
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}
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}
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}
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}
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@@ -1945,11 +1966,18 @@ int mjd_flexStiff_assemble(const mjModel* m, mjData* d, int* rownnz, int* rowadr
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}
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}
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}
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// blk is world-space but the destination dofs are the vertex bodies' own (possibly
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// rotated) slide axes: blk_dof = R_bi^T * blk_world * R_bj, matching the force path
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int bi = m->flex_vertbodyid[m->flex_vertadr[f] + vert[i]];
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int bj = m->flex_vertbodyid[m->flex_vertadr[f] + vert[j]];
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mjtNum tmp[9], blkd[9];
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mji_mulMatMat3(tmp, blk, d->xmat + 9*bj); // tmp = blk * R_bj
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mji_mulMatTMat3(blkd, d->xmat + 9*bi, tmp); // blkd = R_bi^T * tmp
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int pos;
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FLEXSTIFF_BLOCK(si, sj, pos);
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for (int k = 0; k < 3; k++) {
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for (int c = 0; c < 3; c++) {
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val[rowadr[vdof[si] + k] + 3*pos + c] += blk[3*k+c];
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val[rowadr[vdof[si] + k] + 3*pos + c] += blkd[3*k+c];
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}
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}
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}
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@@ -1093,6 +1093,94 @@ TEST_F(ElasticityTest, TrilinearParentBodyRotation) {
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EXPECT_LT(max_qacc, 1e4);
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}
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// A dim=2 flexcomp with stretch elasticity inside a parent body with a
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// non-identity quaternion. The implicit metric assembles the stretch
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// stiffness from world-space edge vectors, but the vertex bodies' slide
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// dofs live in the (rotated) parent frame. Without the R^T (.) R change
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// of basis the metric stops being the Jacobian of the passive force,
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// which shows up as a loss of rotational invariance and, at stiffnesses
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// the unrotated model handles comfortably, as divergence.
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TEST_F(ElasticityTest, StretchParentBodyRotation) {
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static constexpr char rotated_xml[] = R"(
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<mujoco>
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<option gravity="0 0 0" integrator="implicitfast"
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timestep="0.001" solver="CG"/>
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<worldbody>
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<body name="base" pos="0 0 0" quat="0.7071 0.7071 0 0">
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<flexcomp type="grid" count="5 5 1" spacing=".05 .05 .05"
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dim="2" radius=".001" mass=".01" name="sheet">
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<elasticity young="1e5" poisson="0" thickness="1e-3"
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elastic2d="stretch"/>
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<contact selfcollide="none" internal="false"/>
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</flexcomp>
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</body>
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</worldbody>
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</mujoco>
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)";
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static constexpr char nonrotated_xml[] = R"(
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<mujoco>
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<option gravity="0 0 0" integrator="implicitfast"
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timestep="0.001" solver="CG"/>
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<worldbody>
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<body name="base" pos="0 0 0">
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<flexcomp type="grid" count="5 5 1" spacing=".05 .05 .05"
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dim="2" radius=".001" mass=".01" name="sheet">
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<elasticity young="1e5" poisson="0" thickness="1e-3"
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elastic2d="stretch"/>
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<contact selfcollide="none" internal="false"/>
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</flexcomp>
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</body>
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</worldbody>
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</mujoco>
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)";
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char error[1024] = {0};
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MjModelPtr m_rot = LoadModelFromString(rotated_xml, error, sizeof(error));
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ASSERT_THAT(m_rot.get(), NotNull()) << error;
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MjDataPtr d_rot = MakeData(m_rot);
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MjModelPtr m_non = LoadModelFromString(nonrotated_xml, error, sizeof(error));
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ASSERT_THAT(m_non.get(), NotNull()) << error;
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MjDataPtr d_non = MakeData(m_non);
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// stretch one dof; the response is expressed in the parent frame in
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// both models, so the passive force and the implicit acceleration must
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// agree regardless of the parent's orientation
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d_rot->qpos[0] = 1e-4;
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d_non->qpos[0] = 1e-4;
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mj_forward(m_rot.get(), d_rot.get());
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mj_forward(m_non.get(), d_non.get());
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EXPECT_LT(d_rot->qfrc_passive[0], 0)
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<< "expected a restoring force on the stretched dof";
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const mjtNum tol = MjTol(1e-12, 1e-5);
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for (int i = 0; i < m_rot->nv; i++) {
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EXPECT_NEAR(d_rot->qfrc_passive[i], d_non->qfrc_passive[i], tol)
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<< "rotated/non-rotated qfrc mismatch at dof " << i;
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}
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// qacc exercises the metric itself (the force is only its right-hand
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// side): a metric in the wrong basis breaks this invariance even though
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// the force above is already correct
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for (int i = 0; i < m_rot->nv; i++) {
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EXPECT_NEAR(d_rot->qacc[i], d_non->qacc[i], MjTol(1e-9, 1e-3))
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<< "rotated/non-rotated qacc mismatch at dof " << i;
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}
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// and the rotated model must integrate stably
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for (int step = 0; step < 200; step++) {
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mj_step(m_rot.get(), d_rot.get());
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for (int i = 0; i < m_rot->nv; i++) {
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ASSERT_TRUE(std::isfinite(d_rot->qacc[i]))
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<< "NaN/Inf in qacc at dof " << i << " at step " << step;
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}
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if (HasFatalFailure()) return;
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}
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}
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} // namespace
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} // namespace mujoco
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