Polynomial stiffness and damping https://youtu.be/aKa3ZlEF9_Y
PiperOrigin-RevId: 884607673 Change-Id: If8088dbf37fed1055304778a7eb84dec52cba920
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Copybara-Service
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@@ -102,6 +102,142 @@ TEST_F(PassiveTest, GravcompNestedBody) {
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mj_deleteModel(m);
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}
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TEST_F(PassiveTest, PolyStiffnessSlide) {
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static constexpr char xml[] = R"(
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<mujoco>
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<worldbody>
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<body>
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<joint type="slide" stiffness="10 5 1"/>
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<geom size="1" mass="1"/>
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</body>
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</worldbody>
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<keyframe>
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<key qpos="2"/>
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</keyframe>
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</mujoco>
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)";
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char error[1024];
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mjModel* m = LoadModelFromString(xml, error, sizeof(error));
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ASSERT_THAT(m, NotNull()) << error;
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mjData* d = mj_makeData(m);
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mj_resetDataKeyframe(m, d, 0);
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mj_forward(m, d);
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EXPECT_FLOAT_EQ(d->qfrc_spring[0], -48);
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mj_deleteData(d);
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mj_deleteModel(m);
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}
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TEST_F(PassiveTest, PolyStiffnessAntiSymmetric) {
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static constexpr char xml[] = R"(
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<mujoco>
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<worldbody>
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<body>
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<joint type="slide" stiffness="10 5 1"/>
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<geom size="1" mass="1"/>
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</body>
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</worldbody>
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<keyframe>
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<key qpos="-2"/>
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</keyframe>
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</mujoco>
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)";
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char error[1024];
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mjModel* m = LoadModelFromString(xml, error, sizeof(error));
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ASSERT_THAT(m, NotNull()) << error;
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mjData* d = mj_makeData(m);
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mj_resetDataKeyframe(m, d, 0);
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mj_forward(m, d);
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EXPECT_FLOAT_EQ(d->qfrc_spring[0], 8);
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mj_deleteData(d);
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mj_deleteModel(m);
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}
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TEST_F(PassiveTest, PolyStiffnessTendon) {
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static constexpr char xml[] = R"(
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<mujoco>
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<worldbody>
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<body>
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<joint type="slide" name="j"/>
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<geom size="1" mass="1"/>
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</body>
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</worldbody>
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<tendon>
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<fixed>
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<joint joint="j" coef="1"/>
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</fixed>
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</tendon>
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<keyframe>
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<key qpos="2"/>
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</keyframe>
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</mujoco>
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)";
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char error[1024];
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mjModel* m = LoadModelFromString(xml, error, sizeof(error));
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ASSERT_THAT(m, NotNull()) << error;
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m->tendon_stiffness[0] = 10;
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m->tendon_stiffnesspoly[0] = 5;
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m->tendon_stiffnesspoly[1] = 1;
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mjData* d = mj_makeData(m);
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mj_resetDataKeyframe(m, d, 0);
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mj_forward(m, d);
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EXPECT_FLOAT_EQ(d->qfrc_spring[0], -48);
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mj_deleteData(d);
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mj_deleteModel(m);
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}
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TEST_F(PassiveTest, PolyStiffnessEnergy) {
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static constexpr char xml[] = R"(
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<mujoco>
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<option timestep="0.0001">
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<flag energy="enable"/>
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</option>
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<worldbody>
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<body>
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<joint type="slide" stiffness="10 5 1"/>
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<geom size="1" mass="1"/>
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</body>
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</worldbody>
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<keyframe>
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<key qpos="2"/>
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</keyframe>
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</mujoco>
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)";
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char error[1024];
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mjModel* m = LoadModelFromString(xml, error, sizeof(error));
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ASSERT_THAT(m, NotNull()) << error;
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mjData* d = mj_makeData(m);
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mj_resetDataKeyframe(m, d, 0);
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mj_forward(m, d);
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mjtNum total_energy = d->energy[0] + d->energy[1];
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for (int i = 0; i < 100; i++) {
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mj_step(m, d);
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EXPECT_NEAR(d->energy[0] + d->energy[1], total_energy, 0.002);
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}
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mj_deleteData(d);
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mj_deleteModel(m);
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}
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// ------------------------ ellipsoid fluid model ------------------------------
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using EllipsoidFluidTest = MujocoTest;
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@@ -475,5 +611,240 @@ TEST_F(ElasticityTest, ElasticEnergySolid) {
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mj_deleteModel(m);
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}
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TEST_F(PassiveTest, PolynomialStiffnessJoint) {
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static constexpr char xml[] = R"(
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<mujoco>
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<worldbody>
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<body>
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<joint type="slide" stiffness="2 3 4"/>
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<geom size="1" mass="1"/>
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</body>
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</worldbody>
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<keyframe>
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<key qpos="0.5"/>
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</keyframe>
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</mujoco>
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)";
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mjModel* m = LoadModelFromString(xml);
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ASSERT_THAT(m, NotNull());
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mjData* d = mj_makeData(m);
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mj_resetDataKeyframe(m, d, 0);
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mj_forward(m, d);
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mjtNum x = 0.5;
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mjtNum a = 2, b = 3, c = 4;
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mjtNum expected = -(a + b * x + c * x * x) * x;
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EXPECT_NEAR(d->qfrc_spring[0], expected, 1e-12);
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mj_deleteData(d);
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mj_deleteModel(m);
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}
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TEST_F(PassiveTest, PolynomialStiffnessNegativeDisplacement) {
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static constexpr char xml[] = R"(
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<mujoco>
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<worldbody>
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<body>
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<joint type="slide" stiffness="2 3 4"/>
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<geom size="1" mass="1"/>
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</body>
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</worldbody>
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<keyframe>
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<key qpos="-0.5"/>
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</keyframe>
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</mujoco>
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)";
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mjModel* m = LoadModelFromString(xml);
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ASSERT_THAT(m, NotNull());
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mjData* d = mj_makeData(m);
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mj_resetDataKeyframe(m, d, 0);
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mj_forward(m, d);
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mjtNum x = -0.5;
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mjtNum a = 2, b = 3, c = 4;
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mjtNum expected = -(a + b * x + c * x * x) * x;
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EXPECT_NEAR(d->qfrc_spring[0], expected, 1e-12);
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mj_deleteData(d);
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mj_deleteModel(m);
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}
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TEST_F(PassiveTest, PolyStiffnessFixedTendon) {
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static constexpr char xml[] = R"(
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<mujoco>
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<worldbody>
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<body>
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<joint type="slide" name="j"/>
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<geom size="1" mass="1"/>
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</body>
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</worldbody>
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<tendon>
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<fixed stiffness="10 5 1">
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<joint joint="j" coef="1"/>
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</fixed>
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</tendon>
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<keyframe>
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<key qpos="2"/>
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</keyframe>
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</mujoco>
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)";
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char error[1024];
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mjModel* m = LoadModelFromString(xml, error, sizeof(error));
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ASSERT_THAT(m, NotNull()) << error;
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mjData* d = mj_makeData(m);
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mj_resetDataKeyframe(m, d, 0);
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mj_forward(m, d);
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mjtNum x = d->ten_length[0] - m->tendon_lengthspring[1];
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mjtNum expected = -(10 + 5*x + 1*x*x) * x;
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EXPECT_NEAR(d->qfrc_spring[0], expected, 1e-12);
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mj_deleteData(d);
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mj_deleteModel(m);
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}
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TEST_F(PassiveTest, PolyStiffnessSpatialTendon) {
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static constexpr char xml[] = R"(
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<mujoco>
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<worldbody>
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<site name="s0"/>
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<body>
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<joint type="slide" name="j"/>
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<geom size="1" mass="1"/>
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<site name="s1"/>
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</body>
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</worldbody>
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<tendon>
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<spatial stiffness="10 5 1">
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<site site="s0"/>
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<site site="s1"/>
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</spatial>
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</tendon>
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<keyframe>
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<key qpos="2"/>
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</keyframe>
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</mujoco>
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)";
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char error[1024];
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mjModel* m = LoadModelFromString(xml, error, sizeof(error));
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ASSERT_THAT(m, NotNull()) << error;
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mjData* d = mj_makeData(m);
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mj_resetDataKeyframe(m, d, 0);
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mj_forward(m, d);
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mjtNum x = d->ten_length[0] - m->tendon_lengthspring[1];
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mjtNum expected = -x * (10 + 5*x + 1*x*x);
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EXPECT_NEAR(d->qfrc_spring[0], expected, 1e-12);
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mj_deleteData(d);
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mj_deleteModel(m);
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}
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TEST_F(PassiveTest, PolynomialDampingJoint) {
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static constexpr char xml[] = R"(
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<mujoco>
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<worldbody>
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<body>
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<joint type="slide" damping="2 3 4"/>
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<geom size="1" mass="1"/>
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</body>
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</worldbody>
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<keyframe>
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<key qvel="0.5"/>
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</keyframe>
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</mujoco>
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)";
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mjModel* m = LoadModelFromString(xml);
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ASSERT_THAT(m, NotNull());
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mjData* d = mj_makeData(m);
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mj_resetDataKeyframe(m, d, 0);
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mj_forward(m, d);
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mjtNum v = 0.5;
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mjtNum a = 2, b = 3, c = 4;
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mjtNum expected = -(a * v + b * v * mju_abs(v) + c * v * v * v);
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EXPECT_NEAR(d->qfrc_damper[0], expected, 1e-12);
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mj_deleteData(d);
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mj_deleteModel(m);
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}
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TEST_F(PassiveTest, PolynomialDampingNegativeVelocity) {
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static constexpr char xml[] = R"(
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<mujoco>
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<worldbody>
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<body>
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<joint type="slide" damping="2 3 4"/>
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<geom size="1" mass="1"/>
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</body>
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</worldbody>
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<keyframe>
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<key qvel="-0.5"/>
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</keyframe>
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</mujoco>
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)";
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mjModel* m = LoadModelFromString(xml);
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ASSERT_THAT(m, NotNull());
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mjData* d = mj_makeData(m);
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mj_resetDataKeyframe(m, d, 0);
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mj_forward(m, d);
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mjtNum v = -0.5;
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mjtNum a = 2, b = 3, c = 4;
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mjtNum expected = -(a * v + b * v * mju_abs(v) + c * v * v * v);
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EXPECT_NEAR(d->qfrc_damper[0], expected, 1e-12);
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mj_deleteData(d);
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mj_deleteModel(m);
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}
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TEST_F(PassiveTest, PolynomialDampingTendon) {
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static constexpr char xml[] = R"(
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<mujoco>
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<worldbody>
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<body>
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<joint type="slide" name="j"/>
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<geom size="1" mass="1"/>
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</body>
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</worldbody>
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<tendon>
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<fixed damping="10 5 1">
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<joint joint="j" coef="1"/>
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</fixed>
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</tendon>
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<keyframe>
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<key qvel="2"/>
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</keyframe>
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</mujoco>
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)";
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char error[1024];
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mjModel* m = LoadModelFromString(xml, error, sizeof(error));
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ASSERT_THAT(m, NotNull()) << error;
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mjData* d = mj_makeData(m);
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mj_resetDataKeyframe(m, d, 0);
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mj_forward(m, d);
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mjtNum v = d->ten_velocity[0];
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mjtNum expected = -(10*v + 5*v*mju_abs(v) + 1*v*v*v);
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EXPECT_NEAR(d->qfrc_damper[0], expected, 1e-12);
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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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