# Copyright (c) 2022-2025, The Isaac Lab Project Developers.
# All rights reserved.
#
# SPDX-License-Identifier: BSD-3-Clause

import torch
import weakref

import omni.physics.tensors.impl.api as physx

import isaaclab.utils.math as math_utils
from isaaclab.utils.buffers import TimestampedBuffer


[docs]class RigidObjectData:
    """Data container for a rigid object.

    This class contains the data for a rigid object in the simulation. The data includes the state of
    the root rigid body and the state of all the bodies in the object. The data is stored in the simulation
    world frame unless otherwise specified.

    For a rigid body, there are two frames of reference that are used:

    - Actor frame: The frame of reference of the rigid body prim. This typically corresponds to the Xform prim
      with the rigid body schema.
    - Center of mass frame: The frame of reference of the center of mass of the rigid body.

    Depending on the settings of the simulation, the actor frame and the center of mass frame may be the same.
    This needs to be taken into account when interpreting the data.

    The data is lazily updated, meaning that the data is only updated when it is accessed. This is useful
    when the data is expensive to compute or retrieve. The data is updated when the timestamp of the buffer
    is older than the current simulation timestamp. The timestamp is updated whenever the data is updated.
    """

    def __init__(self, root_physx_view: physx.RigidBodyView, device: str):
        """Initializes the rigid object data.

        Args:
            root_physx_view: The root rigid body view.
            device: The device used for processing.
        """
        # Set the parameters
        self.device = device
        # Set the root rigid body view
        # note: this is stored as a weak reference to avoid circular references between the asset class
        #  and the data container. This is important to avoid memory leaks.
        self._root_physx_view: physx.RigidBodyView = weakref.proxy(root_physx_view)

        # Set initial time stamp
        self._sim_timestamp = 0.0

        # Obtain global physics sim view
        physics_sim_view = physx.create_simulation_view("torch")
        physics_sim_view.set_subspace_roots("/")
        gravity = physics_sim_view.get_gravity()
        # Convert to direction vector
        gravity_dir = torch.tensor((gravity[0], gravity[1], gravity[2]), device=self.device)
        gravity_dir = math_utils.normalize(gravity_dir.unsqueeze(0)).squeeze(0)

        # Initialize constants
        self.GRAVITY_VEC_W = gravity_dir.repeat(self._root_physx_view.count, 1)
        self.FORWARD_VEC_B = torch.tensor((1.0, 0.0, 0.0), device=self.device).repeat(self._root_physx_view.count, 1)

        # Initialize the lazy buffers.
        self._root_state_w = TimestampedBuffer()
        self._root_link_state_w = TimestampedBuffer()
        self._root_com_state_w = TimestampedBuffer()
        self._body_acc_w = TimestampedBuffer()

[docs]    def update(self, dt: float):
        """Updates the data for the rigid object.

        Args:
            dt: The time step for the update. This must be a positive value.
        """
        # update the simulation timestamp
        self._sim_timestamp += dt

    ##
    # Names.
    ##

    body_names: list[str] = None
    """Body names in the order parsed by the simulation view."""

    ##
    # Defaults.
    ##

    default_root_state: torch.Tensor = None
    """Default root state ``[pos, quat, lin_vel, ang_vel]`` in local environment frame. Shape is (num_instances, 13).

    The position and quaternion are of the rigid body's actor frame. Meanwhile, the linear and angular velocities are
    of the center of mass frame.
    """

    default_mass: torch.Tensor = None
    """Default mass read from the simulation. Shape is (num_instances, 1)."""

    default_inertia: torch.Tensor = None
    """Default inertia tensor read from the simulation. Shape is (num_instances, 9).

    The inertia is the inertia tensor relative to the center of mass frame. The values are stored in
    the order :math:`[I_{xx}, I_{xy}, I_{xz}, I_{yx}, I_{yy}, I_{yz}, I_{zx}, I_{zy}, I_{zz}]`.
    """

    ##
    # Properties.
    ##

    @property
    def root_state_w(self):
        """Root state ``[pos, quat, lin_vel, ang_vel]`` in simulation world frame. Shape is (num_instances, 13).

        The position and orientation are of the rigid body's actor frame. Meanwhile, the linear and angular
        velocities are of the rigid body's center of mass frame.
        """

        if self._root_state_w.timestamp < self._sim_timestamp:
            # read data from simulation
            pose = self._root_physx_view.get_transforms().clone()
            pose[:, 3:7] = math_utils.convert_quat(pose[:, 3:7], to="wxyz")
            velocity = self._root_physx_view.get_velocities()
            # set the buffer data and timestamp
            self._root_state_w.data = torch.cat((pose, velocity), dim=-1)
            self._root_state_w.timestamp = self._sim_timestamp
        return self._root_state_w.data

    @property
    def root_link_state_w(self):
        """Root state ``[pos, quat, lin_vel, ang_vel]`` in simulation world frame. Shape is (num_instances, 13).

        The position, quaternion, and linear/angular velocity are of the rigid body root frame relative to the
        world.
        """
        if self._root_link_state_w.timestamp < self._sim_timestamp:
            # read data from simulation
            pose = self._root_physx_view.get_transforms().clone()
            pose[:, 3:7] = math_utils.convert_quat(pose[:, 3:7], to="wxyz")
            velocity = self._root_physx_view.get_velocities().clone()

            # adjust linear velocity to link from center of mass
            velocity[:, :3] += torch.linalg.cross(
                velocity[:, 3:], math_utils.quat_rotate(pose[:, 3:7], -self.com_pos_b[:, 0, :]), dim=-1
            )
            # set the buffer data and timestamp
            self._root_link_state_w.data = torch.cat((pose, velocity), dim=-1)
            self._root_link_state_w.timestamp = self._sim_timestamp

        return self._root_link_state_w.data

    @property
    def root_com_state_w(self):
        """Root center of mass state ``[pos, quat, lin_vel, ang_vel]`` in simulation world frame. Shape is (num_instances, 13).

        The position, quaternion, and linear/angular velocity are of the rigid body's center of mass frame
        relative to the world. Center of mass frame is the orientation principle axes of inertia.
        """
        if self._root_com_state_w.timestamp < self._sim_timestamp:
            # read data from simulation (pose is of link)
            pose = self._root_physx_view.get_transforms().clone()
            pose[:, 3:7] = math_utils.convert_quat(pose[:, 3:7], to="wxyz")
            velocity = self._root_physx_view.get_velocities()

            # adjust pose to center of mass
            pos, quat = math_utils.combine_frame_transforms(
                pose[:, :3], pose[:, 3:7], self.com_pos_b[:, 0, :], self.com_quat_b[:, 0, :]
            )
            pose = torch.cat((pos, quat), dim=-1)
            # set the buffer data and timestamp
            self._root_com_state_w.data = torch.cat((pos, quat, velocity), dim=-1)
            self._root_com_state_w.timestamp = self._sim_timestamp
        return self._root_com_state_w.data

    @property
    def body_state_w(self):
        """State of all bodies `[pos, quat, lin_vel, ang_vel]` in simulation world frame. Shape is (num_instances, 1, 13).

        The position and orientation are of the rigid bodies' actor frame. Meanwhile, the linear and angular
        velocities are of the rigid bodies' center of mass frame.
        """

        return self.root_state_w.view(-1, 1, 13)

    @property
    def body_link_state_w(self):
        """State of all bodies `[pos, quat, lin_vel, ang_vel]` in simulation world frame.
        Shape is (num_instances, 1, 13).

        The position, quaternion, and linear/angular velocity are of the body's link frame relative to the world.
        """
        return self.root_link_state_w.view(-1, 1, 13)

    @property
    def body_com_state_w(self):
        """State of all bodies `[pos, quat, lin_vel, ang_vel]` in simulation world frame.
        Shape is (num_instances, num_bodies, 13).

        The position, quaternion, and linear/angular velocity are of the body's center of mass frame relative to the
        world. Center of mass frame is assumed to be the same orientation as the link rather than the orientation of the
        principle inertia.
        """
        return self.root_com_state_w.view(-1, 1, 13)

    @property
    def body_acc_w(self):
        """Acceleration of all bodies. Shape is (num_instances, 1, 6).

        This quantity is the acceleration of the rigid bodies' center of mass frame.
        """
        if self._body_acc_w.timestamp < self._sim_timestamp:
            # note: we use finite differencing to compute acceleration
            self._body_acc_w.data = self._root_physx_view.get_accelerations().unsqueeze(1)
            self._body_acc_w.timestamp = self._sim_timestamp
        return self._body_acc_w.data

    @property
    def projected_gravity_b(self):
        """Projection of the gravity direction on base frame. Shape is (num_instances, 3)."""
        return math_utils.quat_rotate_inverse(self.root_link_quat_w, self.GRAVITY_VEC_W)

    @property
    def heading_w(self):
        """Yaw heading of the base frame (in radians). Shape is (num_instances,).

        Note:
            This quantity is computed by assuming that the forward-direction of the base
            frame is along x-direction, i.e. :math:`(1, 0, 0)`.
        """
        forward_w = math_utils.quat_apply(self.root_link_quat_w, self.FORWARD_VEC_B)
        return torch.atan2(forward_w[:, 1], forward_w[:, 0])

    ##
    # Derived properties.
    ##

    @property
    def root_pos_w(self) -> torch.Tensor:
        """Root position in simulation world frame. Shape is (num_instances, 3).

        This quantity is the position of the actor frame of the root rigid body.
        """
        return self.root_state_w[:, :3]

    @property
    def root_quat_w(self) -> torch.Tensor:
        """Root orientation (w, x, y, z) in simulation world frame. Shape is (num_instances, 4).

        This quantity is the orientation of the actor frame of the root rigid body.
        """
        return self.root_state_w[:, 3:7]

    @property
    def root_vel_w(self) -> torch.Tensor:
        """Root velocity in simulation world frame. Shape is (num_instances, 6).

        This quantity contains the linear and angular velocities of the root rigid body's center of mass frame.
        """
        return self.root_state_w[:, 7:13]

    @property
    def root_lin_vel_w(self) -> torch.Tensor:
        """Root linear velocity in simulation world frame. Shape is (num_instances, 3).

        This quantity is the linear velocity of the root rigid body's center of mass frame relative to the world.
        """
        return self.root_state_w[:, 7:10]

    @property
    def root_ang_vel_w(self) -> torch.Tensor:
        """Root angular velocity in simulation world frame. Shape is (num_instances, 3).

        This quantity is the angular velocity of the root rigid body's center of mass frame.
        """
        return self.root_state_w[:, 10:13]

    @property
    def root_lin_vel_b(self) -> torch.Tensor:
        """Root linear velocity in base frame. Shape is (num_instances, 3).

        This quantity is the linear velocity of the root rigid body's center of mass frame with respect to the
        rigid body's actor frame.
        """
        return math_utils.quat_rotate_inverse(self.root_link_quat_w, self.root_lin_vel_w)

    @property
    def root_ang_vel_b(self) -> torch.Tensor:
        """Root angular velocity in base world frame. Shape is (num_instances, 3).

        This quantity is the angular velocity of the root rigid body's center of mass frame with respect to the
        rigid body's actor frame.
        """
        return math_utils.quat_rotate_inverse(self.root_link_quat_w, self.root_ang_vel_w)

    @property
    def root_link_pos_w(self) -> torch.Tensor:
        """Root link position in simulation world frame. Shape is (num_instances, 3).

        This quantity is the position of the actor frame of the root rigid body relative to the world.
        """
        if self._root_link_state_w.timestamp < self._sim_timestamp:
            # read data from simulation
            pose = self._root_physx_view.get_transforms()
            return pose[:, :3]
        return self.root_link_state_w[:, :3]

    @property
    def root_link_quat_w(self) -> torch.Tensor:
        """Root link orientation (w, x, y, z) in simulation world frame. Shape is (num_instances, 4).

        This quantity is the orientation of the actor frame of the root rigid body.
        """
        if self._root_link_state_w.timestamp < self._sim_timestamp:
            # read data from simulation
            pose = self._root_physx_view.get_transforms().clone()
            pose[:, 3:7] = math_utils.convert_quat(pose[:, 3:7], to="wxyz")
            return pose[:, 3:7]
        return self.root_link_state_w[:, 3:7]

    @property
    def root_link_vel_w(self) -> torch.Tensor:
        """Root link velocity in simulation world frame. Shape is (num_instances, 6).

        This quantity contains the linear and angular velocities of the actor frame of the root
        rigid body relative to the world.
        """
        return self.root_link_state_w[:, 7:13]

    @property
    def root_link_lin_vel_w(self) -> torch.Tensor:
        """Root linear velocity in simulation world frame. Shape is (num_instances, 3).

        This quantity is the linear velocity of the root rigid body's actor frame relative to the world.
        """
        return self.root_link_state_w[:, 7:10]

    @property
    def root_link_ang_vel_w(self) -> torch.Tensor:
        """Root link angular velocity in simulation world frame. Shape is (num_instances, 3).

        This quantity is the angular velocity of the actor frame of the root rigid body relative to the world.
        """
        return self.root_link_state_w[:, 10:13]

    @property
    def root_link_lin_vel_b(self) -> torch.Tensor:
        """Root link linear velocity in base frame. Shape is (num_instances, 3).

        This quantity is the linear velocity of the actor frame of the root rigid body frame with respect to the
        rigid body's actor frame.
        """
        return math_utils.quat_rotate_inverse(self.root_link_quat_w, self.root_link_lin_vel_w)

    @property
    def root_link_ang_vel_b(self) -> torch.Tensor:
        """Root link angular velocity in base world frame. Shape is (num_instances, 3).

        This quantity is the angular velocity of the actor frame of the root rigid body frame with respect to the
        rigid body's actor frame.
        """
        return math_utils.quat_rotate_inverse(self.root_link_quat_w, self.root_link_ang_vel_w)

    @property
    def root_com_pos_w(self) -> torch.Tensor:
        """Root center of mass position in simulation world frame. Shape is (num_instances, 3).

        This quantity is the position of the actor frame of the root rigid body relative to the world.
        """
        return self.root_com_state_w[:, :3]

    @property
    def root_com_quat_w(self) -> torch.Tensor:
        """Root center of mass orientation (w, x, y, z) in simulation world frame. Shape is (num_instances, 4).

        This quantity is the orientation of the actor frame of the root rigid body relative to the world.
        """
        return self.root_com_state_w[:, 3:7]

    @property
    def root_com_vel_w(self) -> torch.Tensor:
        """Root center of mass velocity in simulation world frame. Shape is (num_instances, 6).

        This quantity contains the linear and angular velocities of the root rigid body's center of mass frame relative to the world.
        """
        if self._root_com_state_w.timestamp < self._sim_timestamp:
            # read data from simulation
            velocity = self._root_physx_view.get_velocities()
            return velocity
        return self.root_com_state_w[:, 7:13]

    @property
    def root_com_lin_vel_w(self) -> torch.Tensor:
        """Root center of mass linear velocity in simulation world frame. Shape is (num_instances, 3).

        This quantity is the linear velocity of the root rigid body's center of mass frame relative to the world.
        """
        if self._root_com_state_w.timestamp < self._sim_timestamp:
            # read data from simulation
            velocity = self._root_physx_view.get_velocities()
            return velocity[:, 0:3]
        return self.root_com_state_w[:, 7:10]

    @property
    def root_com_ang_vel_w(self) -> torch.Tensor:
        """Root center of mass angular velocity in simulation world frame. Shape is (num_instances, 3).

        This quantity is the angular velocity of the root rigid body's center of mass frame relative to the world.
        """
        if self._root_com_state_w.timestamp < self._sim_timestamp:
            # read data from simulation
            velocity = self._root_physx_view.get_velocities()
            return velocity[:, 3:6]
        return self.root_com_state_w[:, 10:13]

    @property
    def root_com_lin_vel_b(self) -> torch.Tensor:
        """Root center of mass linear velocity in base frame. Shape is (num_instances, 3).

        This quantity is the linear velocity of the root rigid body's center of mass frame with respect to the
        rigid body's actor frame.
        """
        return math_utils.quat_rotate_inverse(self.root_link_quat_w, self.root_com_lin_vel_w)

    @property
    def root_com_ang_vel_b(self) -> torch.Tensor:
        """Root center of mass angular velocity in base world frame. Shape is (num_instances, 3).

        This quantity is the angular velocity of the root rigid body's center of mass frame with respect to the
        rigid body's actor frame.
        """
        return math_utils.quat_rotate_inverse(self.root_link_quat_w, self.root_com_ang_vel_w)

    @property
    def body_pos_w(self) -> torch.Tensor:
        """Positions of all bodies in simulation world frame. Shape is (num_instances, 1, 3).

        This quantity is the position of the rigid bodies' actor frame.
        """
        return self.body_state_w[..., :3]

    @property
    def body_quat_w(self) -> torch.Tensor:
        """Orientation (w, x, y, z) of all bodies in simulation world frame. Shape is (num_instances, 1, 4).

        This quantity is the orientation of the rigid bodies' actor frame.
        """
        return self.body_state_w[..., 3:7]

    @property
    def body_vel_w(self) -> torch.Tensor:
        """Velocity of all bodies in simulation world frame. Shape is (num_instances, 1, 6).

        This quantity contains the linear and angular velocities of the rigid bodies' center of mass frame.
        """
        return self.body_state_w[..., 7:13]

    @property
    def body_lin_vel_w(self) -> torch.Tensor:
        """Linear velocity of all bodies in simulation world frame. Shape is (num_instances, 1, 3).

        This quantity is the linear velocity of the rigid bodies' center of mass frame.
        """
        return self.body_state_w[..., 7:10]

    @property
    def body_ang_vel_w(self) -> torch.Tensor:
        """Angular velocity of all bodies in simulation world frame. Shape is (num_instances, 1, 3).

        This quantity is the angular velocity of the rigid bodies' center of mass frame.
        """
        return self.body_state_w[..., 10:13]

    @property
    def body_lin_acc_w(self) -> torch.Tensor:
        """Linear acceleration of all bodies in simulation world frame. Shape is (num_instances, 1, 3).

        This quantity is the linear acceleration of the rigid bodies' center of mass frame.
        """
        return self.body_acc_w[..., 0:3]

    @property
    def body_ang_acc_w(self) -> torch.Tensor:
        """Angular acceleration of all bodies in simulation world frame. Shape is (num_instances, 1, 3).

        This quantity is the angular acceleration of the rigid bodies' center of mass frame.
        """
        return self.body_acc_w[..., 3:6]

    #
    # Link body properties
    #

    @property
    def body_link_pos_w(self) -> torch.Tensor:
        """Positions of all bodies in simulation world frame. Shape is (num_instances, 1, 3).

        This quantity is the position of the rigid bodies' actor frame relative to the world.
        """
        return self.body_link_state_w[..., :3]

    @property
    def body_link_quat_w(self) -> torch.Tensor:
        """Orientation (w, x, y, z) of all bodies in simulation world frame. Shape is (num_instances, 1, 4).

        This quantity is the orientation of the rigid bodies' actor frame  relative to the world.
        """
        return self.body_link_state_w[..., 3:7]

    @property
    def body_link_vel_w(self) -> torch.Tensor:
        """Velocity of all bodies in simulation world frame. Shape is (num_instances, 1, 6).

        This quantity contains the linear and angular velocities of the rigid bodies' center of mass frame
        relative to the world.
        """
        return self.body_link_state_w[..., 7:13]

    @property
    def body_link_lin_vel_w(self) -> torch.Tensor:
        """Linear velocity of all bodies in simulation world frame. Shape is (num_instances, 1, 3).

        This quantity is the linear velocity of the rigid bodies' center of mass frame relative to the world.
        """
        return self.body_link_state_w[..., 7:10]

    @property
    def body_link_ang_vel_w(self) -> torch.Tensor:
        """Angular velocity of all bodies in simulation world frame. Shape is (num_instances, 1, 3).

        This quantity is the angular velocity of the rigid bodies' center of mass frame relative to the world.
        """
        return self.body_link_state_w[..., 10:13]

    #
    # Center of mass body properties
    #

    @property
    def body_com_pos_w(self) -> torch.Tensor:
        """Positions of all bodies in simulation world frame. Shape is (num_instances, 1, 3).

        This quantity is the position of the rigid bodies' actor frame.
        """
        return self.body_com_state_w[..., :3]

    @property
    def body_com_quat_w(self) -> torch.Tensor:
        """Orientation (w, x, y, z) of the prinicple axies of inertia of all bodies in simulation world frame.

        Shape is (num_instances, 1, 4). This quantity is the orientation of the rigid bodies' actor frame.
        """
        return self.body_com_state_w[..., 3:7]

    @property
    def body_com_vel_w(self) -> torch.Tensor:
        """Velocity of all bodies in simulation world frame. Shape is (num_instances, 1, 6).

        This quantity contains the linear and angular velocities of the rigid bodies' center of mass frame.
        """
        return self.body_com_state_w[..., 7:13]

    @property
    def body_com_lin_vel_w(self) -> torch.Tensor:
        """Linear velocity of all bodies in simulation world frame. Shape is (num_instances, 1, 3).

        This quantity is the linear velocity of the rigid bodies' center of mass frame.
        """
        return self.body_com_state_w[..., 7:10]

    @property
    def body_com_ang_vel_w(self) -> torch.Tensor:
        """Angular velocity of all bodies in simulation world frame. Shape is (num_instances, 1, 3).

        This quantity is the angular velocity of the rigid bodies' center of mass frame.
        """
        return self.body_com_state_w[..., 10:13]

    @property
    def com_pos_b(self) -> torch.Tensor:
        """Center of mass of all of the bodies in simulation world frame. Shape is (num_instances, 1, 3).

        This quantity is the center of mass location relative to its body frame.
        """
        return self._root_physx_view.get_coms().to(self.device)[..., :3].view(-1, 1, 3)

    @property
    def com_quat_b(self) -> torch.Tensor:
        """Orientation (w,x,y,z) of the prinicple axies of inertia of all of the bodies in simulation world frame. Shape is (num_instances, 1, 4).

        This quantity is the orientation of the principles axes of inertia relative to its body frame.
        """
        quat = self._root_physx_view.get_coms().to(self.device)[..., 3:7]
        return math_utils.convert_quat(quat, to="wxyz").view(-1, 1, 4)