//
// Copyright (c) 2018-2019 CNRS INRIA
//

#include "pinocchio/multibody.hpp"
#include "pinocchio/algorithm/kinematics.hpp"
#include "pinocchio/algorithm/crba.hpp"
#include "pinocchio/multibody/sample-models.hpp"

#include <boost/test/unit_test.hpp>
#include <boost/utility/binary.hpp>

#include "utils/model-generator.hpp"

BOOST_AUTO_TEST_SUITE(BOOST_TEST_MODULE)

BOOST_AUTO_TEST_CASE(test_kinematics_constant_vector_input)
{
  using namespace Eigen;
  using namespace pinocchio;

  Model model;
  buildModels::humanoidRandom(model);

  Data data(model);

  model.lowerPositionLimit.head<3>().fill(-1.);
  model.upperPositionLimit.head<3>().fill(1.);
  VectorXd q = randomConfiguration(model);

  forwardKinematics(model, data, Model::ConfigVectorType::Ones(model.nq));
}

BOOST_AUTO_TEST_CASE(test_kinematics_zero)
{
  using namespace Eigen;
  using namespace pinocchio;

  Model model;
  buildModels::humanoidRandom(model);

  Data data(model), data_ref(model);

  model.lowerPositionLimit.head<3>().fill(-1.);
  model.upperPositionLimit.head<3>().fill(1.);
  VectorXd q = randomConfiguration(model);

  forwardKinematics(model, data_ref, q);
  crba(model, data, q, Convention::WORLD);
  updateGlobalPlacements(model, data);

  for (Model::JointIndex i = 1; i < (Model::JointIndex)model.njoints; ++i)
  {
    BOOST_CHECK(data.oMi[i] == data_ref.oMi[i]);
    BOOST_CHECK(data.liMi[i] == data_ref.liMi[i]);
  }
}

BOOST_AUTO_TEST_CASE(test_kinematics_first)
{
  using namespace Eigen;
  using namespace pinocchio;

  Model model;
  buildModels::humanoidRandom(model);

  Data data(model);

  model.lowerPositionLimit.head<3>().fill(-1.);
  model.upperPositionLimit.head<3>().fill(1.);
  VectorXd q = randomConfiguration(model);
  VectorXd v(VectorXd::Zero(model.nv));

  forwardKinematics(model, data, q, v);

  for (Model::JointIndex i = 1; i < (Model::JointIndex)model.njoints; ++i)
  {
    BOOST_CHECK(data.v[i] == Motion::Zero());
  }
}

BOOST_AUTO_TEST_CASE(test_getRelativePlacement)
{
  using namespace Eigen;
  using namespace pinocchio;

  Model model;
  buildModels::humanoid(model);
  Data data(model);

  model.lowerPositionLimit.head<3>().fill(-1.);
  model.upperPositionLimit.head<3>().fill(1.);
  forwardKinematics(model, data, randomConfiguration(model));

  const std::vector<JointIndex> test_joints{
    0, 1, model.getJointId("rleg_elbow_joint"), model.getJointId("lleg_elbow_joint"),
    (JointIndex)(model.njoints - 1)};

  for (const JointIndex i : test_joints)
  {
    for (const JointIndex j : test_joints)
    {
      SE3 placement_world = getRelativePlacement(model, data, i, j, Convention::WORLD);
      SE3 placement_local = getRelativePlacement(model, data, i, j, Convention::LOCAL);

      // Both convention should match
      BOOST_CHECK(placement_world.isApprox(placement_local));

      // Relative placement to itself is identity
      if (i == j)
      {
        BOOST_CHECK(placement_world.isIdentity());
        BOOST_CHECK(placement_local.isIdentity());
      }

      // Relative placement to world
      if (i == 0)
      {
        BOOST_CHECK(placement_world.isApprox(data.oMi[j]));
        BOOST_CHECK(placement_local.isApprox(data.oMi[j]));
      }

      // Relative placement from world
      if (j == 0)
      {
        BOOST_CHECK(placement_world.isApprox(data.oMi[i].inverse()));
        BOOST_CHECK(placement_local.isApprox(data.oMi[i].inverse()));
      }
    }
  }
}

BOOST_AUTO_TEST_CASE(test_kinematics_second)
{
  using namespace Eigen;
  using namespace pinocchio;

  Model model;
  buildModels::humanoidRandom(model);

  Data data(model);

  model.lowerPositionLimit.head<3>().fill(-1.);
  model.upperPositionLimit.head<3>().fill(1.);
  VectorXd q = randomConfiguration(model);
  VectorXd v(VectorXd::Zero(model.nv));
  VectorXd a(VectorXd::Zero(model.nv));

  forwardKinematics(model, data, q, v, a);

  for (Model::JointIndex i = 1; i < (Model::JointIndex)model.njoints; ++i)
  {
    BOOST_CHECK(data.v[i] == Motion::Zero());
    BOOST_CHECK(data.a[i] == Motion::Zero());
  }
}

BOOST_AUTO_TEST_CASE(test_get_velocity)
{
  using namespace Eigen;
  using namespace pinocchio;

  Model model;
  buildModels::humanoidRandom(model);

  Data data(model);

  model.lowerPositionLimit.head<3>().fill(-1.);
  model.upperPositionLimit.head<3>().fill(1.);
  VectorXd q = randomConfiguration(model);
  VectorXd v(VectorXd::Random(model.nv));

  forwardKinematics(model, data, q, v);

  for (Model::JointIndex i = 1; i < (Model::JointIndex)model.njoints; ++i)
  {
    BOOST_CHECK(data.v[i].isApprox(getVelocity(model, data, i)));
    BOOST_CHECK(data.v[i].isApprox(getVelocity(model, data, i, LOCAL)));
    BOOST_CHECK(data.oMi[i].act(data.v[i]).isApprox(getVelocity(model, data, i, WORLD)));
    BOOST_CHECK(SE3(data.oMi[i].rotation(), Eigen::Vector3d::Zero())
                  .act(data.v[i])
                  .isApprox(getVelocity(model, data, i, LOCAL_WORLD_ALIGNED)));
  }
}

BOOST_AUTO_TEST_CASE(test_get_acceleration)
{
  using namespace Eigen;
  using namespace pinocchio;

  Model model;
  buildModels::humanoidRandom(model);

  Data data(model);

  model.lowerPositionLimit.head<3>().fill(-1.);
  model.upperPositionLimit.head<3>().fill(1.);
  VectorXd q = randomConfiguration(model);
  VectorXd v(VectorXd::Random(model.nv));
  VectorXd a(VectorXd::Random(model.nv));

  forwardKinematics(model, data, q, v, a);

  for (Model::JointIndex i = 1; i < (Model::JointIndex)model.njoints; ++i)
  {
    BOOST_CHECK(data.a[i].isApprox(getAcceleration(model, data, i)));
    BOOST_CHECK(data.a[i].isApprox(getAcceleration(model, data, i, LOCAL)));
    BOOST_CHECK(data.oMi[i].act(data.a[i]).isApprox(getAcceleration(model, data, i, WORLD)));
    BOOST_CHECK(SE3(data.oMi[i].rotation(), Eigen::Vector3d::Zero())
                  .act(data.a[i])
                  .isApprox(getAcceleration(model, data, i, LOCAL_WORLD_ALIGNED)));
  }
}

BOOST_AUTO_TEST_CASE(test_get_classical_acceleration)
{
  using namespace Eigen;
  using namespace pinocchio;

  Model model;
  buildModels::humanoidRandom(model);

  Data data(model);

  model.lowerPositionLimit.head<3>().fill(-1.);
  model.upperPositionLimit.head<3>().fill(1.);
  VectorXd q = randomConfiguration(model);
  VectorXd v(VectorXd::Random(model.nv));
  VectorXd a(VectorXd::Random(model.nv));

  forwardKinematics(model, data, q, v, a);

  for (Model::JointIndex i = 1; i < (Model::JointIndex)model.njoints; ++i)
  {
    SE3 T = data.oMi[i];
    Motion vel = data.v[i];
    Motion acc = data.a[i];
    Vector3d linear;

    Motion acc_classical_local = acc;
    linear = acc.linear() + vel.angular().cross(vel.linear());
    acc_classical_local.linear() = linear;

    BOOST_CHECK(acc_classical_local.isApprox(getClassicalAcceleration(model, data, i)));
    BOOST_CHECK(acc_classical_local.isApprox(getClassicalAcceleration(model, data, i, LOCAL)));

    Motion vel_world = T.act(vel);
    Motion acc_classical_world = T.act(acc);
    linear = acc_classical_world.linear() + vel_world.angular().cross(vel_world.linear());
    acc_classical_world.linear() = linear;

    BOOST_CHECK(acc_classical_world.isApprox(getClassicalAcceleration(model, data, i, WORLD)));

    Motion vel_aligned = SE3(data.oMi[i].rotation(), Eigen::Vector3d::Zero()).act(vel);
    Motion acc_classical_aligned = SE3(data.oMi[i].rotation(), Eigen::Vector3d::Zero()).act(acc);
    linear = acc_classical_aligned.linear() + vel_aligned.angular().cross(vel_aligned.linear());
    acc_classical_aligned.linear() = linear;

    BOOST_CHECK(acc_classical_aligned.isApprox(
      getClassicalAcceleration(model, data, i, LOCAL_WORLD_ALIGNED)));
  }
}

BOOST_AUTO_TEST_CASE(test_kinematic_getters)
{
  using namespace Eigen;
  using namespace pinocchio;

  // Build a simple 2R planar model
  Model model;
  JointIndex jointId = 0;
  jointId = model.addJoint(jointId, JointModelRZ(), SE3::Identity(), "Joint1");
  jointId = model.addJoint(
    jointId, JointModelRZ(), SE3(Matrix3d::Identity(), Vector3d(1.0, 0.0, 0.0)), "Joint2");

  Data data(model);

  // Predetermined configuration values
  VectorXd q(model.nq);
  q << M_PI / 2.0, 0.0;

  VectorXd v(model.nv);
  v << 1.0, 0.0;

  VectorXd a(model.nv);
  a << 0.0, 0.0;

  // Expected velocity
  Motion v_local;
  v_local.linear() = Vector3d(0.0, 1.0, 0.0);
  v_local.angular() = Vector3d(0.0, 0.0, 1.0);

  Motion v_world;
  v_world.linear() = Vector3d::Zero();
  v_world.angular() = Vector3d(0.0, 0.0, 1.0);

  Motion v_align;
  v_align.linear() = Vector3d(-1.0, 0.0, 0.0);
  v_align.angular() = Vector3d(0.0, 0.0, 1.0);

  // Expected classical acceleration
  Motion ac_local;
  ac_local.linear() = Vector3d(-1.0, 0.0, 0.0);
  ac_local.angular() = Vector3d::Zero();

  Motion ac_world = Motion::Zero();

  Motion ac_align;
  ac_align.linear() = Vector3d(0.0, -1.0, 0.0);
  ac_align.angular() = Vector3d::Zero();

  // Perform kinematics
  forwardKinematics(model, data, q, v, a);

  // Check output velocity
  BOOST_CHECK(v_local.isApprox(getVelocity(model, data, jointId)));
  BOOST_CHECK(v_local.isApprox(getVelocity(model, data, jointId, LOCAL)));
  BOOST_CHECK(v_world.isApprox(getVelocity(model, data, jointId, WORLD)));
  BOOST_CHECK(v_align.isApprox(getVelocity(model, data, jointId, LOCAL_WORLD_ALIGNED)));

  // Check output acceleration (all zero)
  BOOST_CHECK(getAcceleration(model, data, jointId).isZero());
  BOOST_CHECK(getAcceleration(model, data, jointId, LOCAL).isZero());
  BOOST_CHECK(getAcceleration(model, data, jointId, WORLD).isZero());
  BOOST_CHECK(getAcceleration(model, data, jointId, LOCAL_WORLD_ALIGNED).isZero());

  // Check output classical
  BOOST_CHECK(ac_local.isApprox(getClassicalAcceleration(model, data, jointId)));
  BOOST_CHECK(ac_local.isApprox(getClassicalAcceleration(model, data, jointId, LOCAL)));
  BOOST_CHECK(ac_world.isApprox(getClassicalAcceleration(model, data, jointId, WORLD)));
  BOOST_CHECK(
    ac_align.isApprox(getClassicalAcceleration(model, data, jointId, LOCAL_WORLD_ALIGNED)));
}

BOOST_AUTO_TEST_CASE(test_kinematics_mimic)
{
  for (int i = 0; i < pinocchio::MimicTestCases::N_CASES; i++)
  {
    const pinocchio::MimicTestCases mimic_test_case(i);
    const pinocchio::Model & model_mimic = mimic_test_case.model_mimic;
    const pinocchio::Model & model_full = mimic_test_case.model_full;
    const Eigen::MatrixXd & G = mimic_test_case.G;

    Eigen::VectorXd q = pinocchio::randomConfiguration(model_mimic);
    Eigen::VectorXd v = Eigen::VectorXd::Random(model_mimic.nv);
    Eigen::VectorXd a = Eigen::VectorXd::Random(model_mimic.nv);

    Eigen::VectorXd q_full(model_full.nq);
    Eigen::VectorXd v_full = G * v;
    Eigen::VectorXd a_full = G * v;

    mimic_test_case.toFull(q, q_full);

    pinocchio::Data dataFKFull(model_full);
    pinocchio::forwardKinematics(model_full, dataFKFull, q_full, v_full, a_full);

    pinocchio::Data dataFKRed(model_mimic);
    pinocchio::forwardKinematics(model_mimic, dataFKRed, q, v, a);

    for (pinocchio::JointIndex i = 0; i < pinocchio::JointIndex(model_full.njoints); i++)
    {
      BOOST_CHECK(dataFKRed.oMi[i].isApprox(dataFKFull.oMi[i]));
      BOOST_CHECK(dataFKRed.liMi[i].isApprox(dataFKFull.liMi[i]));
      BOOST_CHECK(model_full.inertias[i].isApprox(model_mimic.inertias[i]));
    }
  }
}

BOOST_AUTO_TEST_SUITE_END()
