Fix flex bending frame transformation when parent body is rotated.
PiperOrigin-RevId: 958362895 Change-Id: I0f6ba12a441bd7daa54292bfe2c70f0d836b008d
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Copybara-Service
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@@ -1094,6 +1094,93 @@ TEST_F(ElasticityTest, TrilinearParentBodyRotation) {
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}
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// A dim=2 flexcomp with bending elasticity inside a parent body with a
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// non-identity quaternion. The implicit metric assembles the bending
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// stiffness from world-space vertex positions, 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, BendParentBodyRotation) {
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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-2"
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elastic2d="bend"/>
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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-2"
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elastic2d="bend"/>
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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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// lift one corner out of plane: that bends at first order but stretches only
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// at second, so the bending force is not swamped. As in the stretch case the
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// displacement is applied in the parent frame, so the response must not
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// depend on the parent's orientation
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d_rot->qpos[2] = 1e-2;
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d_non->qpos[2] = 1e-2;
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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_non->qfrc_passive[2], -1e-6)
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<< "expected a restoring force on the lifted 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, so this also covers mjd_flexBend_mul
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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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// 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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