commit 37cc693abbdb73d1d54f4e600df8ff00195d0e69 Author: JiajunLI Date: Tue Jan 27 15:42:02 2026 +0800 chore(project): 项目初始化 diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..6e9a55d --- /dev/null +++ b/.gitignore @@ -0,0 +1,126 @@ +# Python +__pycache__/ +*.py[cod] +*$py.class +.Python +build/ +develop-eggs/ +dist/ +downloads/ +eggs/ +.eggs/ +lib/ +!diana_driver/lib/ +lib64/ +parts/ +sdist/ +var/ +wheels/ +pip-wheel-metadata/ +share/python-wheels/ +*.egg-info/ +.installed.cfg +*.egg +MANIFEST + +# Virtual Environment +venv/ +ENV/ +env/ +.venv + +# IDE +.vscode/ +.idea/ +*.swp +*.swo +*~ +.project +.pydevproject +.settings/ +*.sublime-project +*.sublime-workspace + +# Jupyter Notebook +.ipynb_checkpoints +# Uncomment to ignore all notebooks (if you don't want to track them) +# *.ipynb + +# PyTorch / ML +*.pth +*.pt +*.ckpt +*.pkl +*.pickle +checkpoints/ +ckpt_models/ +runs/ +wandb/ +weights/ + +# Dataset +dataset/ +demos/dataset/ +# Only ignore data files in dataset directories, not test data +# *.hdf5 +# *.h5 +# *.npz + +# Logs +*.log +logs/ +tensorboard/ + +# MuJoCo +*.xmlc +*.mjb +*.mjt + +# OS +.DS_Store +.DS_Store? +._* +.Spotlight-V100 +.Trashes +ehthumbs.db +Thumbs.db +Desktop.ini + +# Temporary files +*.tmp +*.bak +*.swp +tmp/ +temp/ + +# Robot-specific +# diana_driver/lib/*.so # Commented out - track pre-compiled Diana robot drivers +!diana_driver/lib/add_lib.sh + +# Model assets (commented out - MuJoCo XML and textures should be tracked) +# assets/models/*.xml +# assets/textures/*.png +# assets/textures/*.jpg + +# Test coverage +.coverage +htmlcov/ +.pytest_cache/ + +# MyPy +.mypy_cache/ +.dmypy.json +dmypy.json + +# Environments +.env +.conda + +# Claude +CLAUDE.md + +# GEMINI +GEMINI.md + +# Copilot +.github/copilot-instructions.md \ No newline at end of file diff --git a/README.en.md b/README.en.md new file mode 100644 index 0000000..024238a --- /dev/null +++ b/README.en.md @@ -0,0 +1,36 @@ +# robo-imi-act + +#### Description +{**When you're done, you can delete the content in this README and update the file with details for others getting started with your repository**} + +#### Software Architecture +Software architecture description + +#### Installation + +1. xxxx +2. xxxx +3. xxxx + +#### Instructions + +1. xxxx +2. xxxx +3. xxxx + +#### Contribution + +1. Fork the repository +2. Create Feat_xxx branch +3. Commit your code +4. Create Pull Request + + +#### Gitee Feature + +1. You can use Readme\_XXX.md to support different languages, such as Readme\_en.md, Readme\_zh.md +2. Gitee blog [blog.gitee.com](https://blog.gitee.com) +3. Explore open source project [https://gitee.com/explore](https://gitee.com/explore) +4. The most valuable open source project [GVP](https://gitee.com/gvp) +5. The manual of Gitee [https://gitee.com/help](https://gitee.com/help) +6. The most popular members [https://gitee.com/gitee-stars/](https://gitee.com/gitee-stars/) diff --git a/README.md b/README.md new file mode 100644 index 0000000..b72b112 --- /dev/null +++ b/README.md @@ -0,0 +1,39 @@ +# robo-imi-act + +#### 介绍 +{**以下是 Gitee 平台说明,您可以替换此简介** +Gitee 是 OSCHINA 推出的基于 Git 的代码托管平台(同时支持 SVN)。专为开发者提供稳定、高效、安全的云端软件开发协作平台 +无论是个人、团队、或是企业,都能够用 Gitee 实现代码托管、项目管理、协作开发。企业项目请看 [https://gitee.com/enterprises](https://gitee.com/enterprises)} + +#### 软件架构 +软件架构说明 + + +#### 安装教程 + +1. xxxx +2. xxxx +3. xxxx + +#### 使用说明 + +1. xxxx +2. xxxx +3. xxxx + +#### 参与贡献 + +1. Fork 本仓库 +2. 新建 Feat_xxx 分支 +3. 提交代码 +4. 新建 Pull Request + + +#### 特技 + +1. 使用 Readme\_XXX.md 来支持不同的语言,例如 Readme\_en.md, Readme\_zh.md +2. Gitee 官方博客 [blog.gitee.com](https://blog.gitee.com) +3. 你可以 [https://gitee.com/explore](https://gitee.com/explore) 这个地址来了解 Gitee 上的优秀开源项目 +4. [GVP](https://gitee.com/gvp) 全称是 Gitee 最有价值开源项目,是综合评定出的优秀开源项目 +5. Gitee 官方提供的使用手册 [https://gitee.com/help](https://gitee.com/help) +6. 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diff --git a/roboimi/assets/models/grippers/rethink_gripper/meshes/connector_plate.mtl b/roboimi/assets/models/grippers/rethink_gripper/meshes/connector_plate.mtl new file mode 100644 index 0000000..ca14a19 --- /dev/null +++ b/roboimi/assets/models/grippers/rethink_gripper/meshes/connector_plate.mtl @@ -0,0 +1,12 @@ +# Blender MTL File: 'None' +# Material Count: 1 + +newmtl Material_001 +Ns 225.000000 +Ka 1.000000 1.000000 1.000000 +Kd 0.001651 0.001651 0.001651 +Ks 0.500000 0.500000 0.500000 +Ke 0.100000 0.100000 0.100000 +Ni 1.000000 +d 1.000000 +illum 2 diff --git a/roboimi/assets/models/grippers/rethink_gripper/meshes/connector_plate.obj b/roboimi/assets/models/grippers/rethink_gripper/meshes/connector_plate.obj new file mode 100644 index 0000000..1e7d21f --- /dev/null +++ b/roboimi/assets/models/grippers/rethink_gripper/meshes/connector_plate.obj @@ -0,0 +1,94126 @@ +# Blender v2.92.0 OBJ File: '' +# www.blender.org +o Connector_Plate +v 0.020152 0.021176 0.015176 +v 0.020307 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3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 +

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file mode 100644 index 0000000..cdfc17a --- /dev/null +++ b/roboimi/assets/models/manipulators/DianaMed/peg_socket.xml @@ -0,0 +1,20 @@ + + + + + + + + + + + + + + + + + + + + diff --git a/roboimi/assets/models/manipulators/DianaMed/scene.xml b/roboimi/assets/models/manipulators/DianaMed/scene.xml new file mode 100644 index 0000000..ed9f5e8 --- /dev/null +++ b/roboimi/assets/models/manipulators/DianaMed/scene.xml @@ -0,0 +1,38 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/roboimi/assets/models/manipulators/DianaMed/table_square.xml b/roboimi/assets/models/manipulators/DianaMed/table_square.xml new file mode 100644 index 0000000..4813a53 --- /dev/null +++ b/roboimi/assets/models/manipulators/DianaMed/table_square.xml @@ -0,0 +1,12 @@ + + + + + + + + + + + + diff --git a/roboimi/assets/models/manipulators/DianaMed/test_xml.py b/roboimi/assets/models/manipulators/DianaMed/test_xml.py new file mode 100644 index 0000000..e3528c4 --- /dev/null +++ b/roboimi/assets/models/manipulators/DianaMed/test_xml.py @@ -0,0 +1,16 @@ +import mujoco + +xml_path = "./bi_diana_transfer_ee.xml" + +robot_model = mujoco.MjModel.from_xml_path(filename=xml_path, assets=None) +robot_data = mujoco.MjData(robot_model) +mujoco.mj_forward(robot_model, robot_data) +for i in range(robot_model.njnt): + joint_name = mujoco.mj_id2name(robot_model, mujoco.mjtObj.mjOBJ_JOINT, i) + print(f"编号: {i}, 名称: {joint_name}") +# for i in range(robot_model.nbody): +# body_name = mujoco.mj_id2name(robot_model, mujoco.mjtObj.mjOBJ_BODY, i) +# print(f"编号: {i}, 名称: {body_name}") +print(robot_data.body("eef_left").xpos) +print(robot_data.body("eef_right").xpos) +print(robot_data.body("link6_right").xpos) \ No newline at end of file diff --git a/roboimi/assets/models/manipulators/DianaMed/textures/aruco.png b/roboimi/assets/models/manipulators/DianaMed/textures/aruco.png new file mode 100644 index 0000000..2f33757 Binary files /dev/null and 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+ + + + + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/roboimi/assets/models/manipulators/vx300s/bi_vx300s_transfer_ee.xml b/roboimi/assets/models/manipulators/vx300s/bi_vx300s_transfer_ee.xml new file mode 100644 index 0000000..19062ec --- /dev/null +++ b/roboimi/assets/models/manipulators/vx300s/bi_vx300s_transfer_ee.xml @@ -0,0 +1,48 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/roboimi/assets/models/manipulators/vx300s/bi_vx300s_transfer_jnt.xml b/roboimi/assets/models/manipulators/vx300s/bi_vx300s_transfer_jnt.xml new file mode 100644 index 0000000..7a390da --- /dev/null +++ b/roboimi/assets/models/manipulators/vx300s/bi_vx300s_transfer_jnt.xml @@ -0,0 +1,59 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + \ No newline at end of file diff --git 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a/roboimi/assets/models/manipulators/vx300s/meshes/vx300s_8_gripper_prop.stl b/roboimi/assets/models/manipulators/vx300s/meshes/vx300s_8_gripper_prop.stl new file mode 100644 index 0000000..36099b4 Binary files /dev/null and b/roboimi/assets/models/manipulators/vx300s/meshes/vx300s_8_gripper_prop.stl differ diff --git a/roboimi/assets/models/manipulators/vx300s/meshes/vx300s_9_gripper_bar.stl b/roboimi/assets/models/manipulators/vx300s/meshes/vx300s_9_gripper_bar.stl new file mode 100644 index 0000000..eba3caa Binary files /dev/null and b/roboimi/assets/models/manipulators/vx300s/meshes/vx300s_9_gripper_bar.stl differ diff --git a/roboimi/assets/models/manipulators/vx300s/scene.xml b/roboimi/assets/models/manipulators/vx300s/scene.xml new file mode 100644 index 0000000..ed9f5e8 --- /dev/null +++ b/roboimi/assets/models/manipulators/vx300s/scene.xml @@ -0,0 +1,38 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/roboimi/assets/models/manipulators/vx300s/vx300s.xacro b/roboimi/assets/models/manipulators/vx300s/vx300s.xacro new file mode 100644 index 0000000..a5480de --- /dev/null +++ b/roboimi/assets/models/manipulators/vx300s/vx300s.xacro @@ -0,0 +1,21 @@ + + + + + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/roboimi/assets/models/manipulators/vx300s/vx300s_dependencies.xml b/roboimi/assets/models/manipulators/vx300s/vx300s_dependencies.xml new file mode 100644 index 0000000..edb7c1d --- /dev/null +++ b/roboimi/assets/models/manipulators/vx300s/vx300s_dependencies.xml @@ -0,0 +1,17 @@ + + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/roboimi/assets/models/manipulators/vx300s/vx300s_left.xml b/roboimi/assets/models/manipulators/vx300s/vx300s_left.xml new file mode 100644 index 0000000..edd466c --- /dev/null +++ b/roboimi/assets/models/manipulators/vx300s/vx300s_left.xml @@ -0,0 +1,61 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/roboimi/assets/models/manipulators/vx300s/vx300s_macro.xacro b/roboimi/assets/models/manipulators/vx300s/vx300s_macro.xacro new file mode 100644 index 0000000..d79106f --- /dev/null +++ b/roboimi/assets/models/manipulators/vx300s/vx300s_macro.xacro @@ -0,0 +1,404 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/roboimi/assets/models/manipulators/vx300s/vx300s_right.xml b/roboimi/assets/models/manipulators/vx300s/vx300s_right.xml new file mode 100644 index 0000000..edebcd4 --- /dev/null +++ b/roboimi/assets/models/manipulators/vx300s/vx300s_right.xml @@ -0,0 +1,59 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/roboimi/assets/objects/can/can.stl b/roboimi/assets/objects/can/can.stl new file mode 100644 index 0000000..1d26732 Binary files /dev/null and b/roboimi/assets/objects/can/can.stl differ diff --git a/roboimi/assets/objects/table/base_link.STL b/roboimi/assets/objects/table/base_link.STL new file mode 100644 index 0000000..d9a8538 Binary files /dev/null and b/roboimi/assets/objects/table/base_link.STL differ diff --git a/roboimi/assets/robots/__init__.py b/roboimi/assets/robots/__init__.py new file mode 100644 index 0000000..e69de29 diff --git a/roboimi/assets/robots/arm_base.py b/roboimi/assets/robots/arm_base.py new file mode 100644 index 0000000..5cf94bd --- /dev/null +++ b/roboimi/assets/robots/arm_base.py @@ -0,0 +1,152 @@ +import mujoco +import numpy as np +from roboimi.utils.KDL_utils import KDL_utils + + +class ArmBase(object): + def __init__(self, + name=None, + urdf_path=None, + xml_path=None, + gripper=None + ): + self.name = name + self.urdf_path = urdf_path + self.xml_path = xml_path + self.gripper = gripper + self.robot_model = mujoco.MjModel.from_xml_path(filename=self.xml_path, assets=None) + self.robot_data = mujoco.MjData(self.robot_model) + self.arms = [] + # joint PD + self.kp = None + self.kd = None + + class Arm(object): + """ + internal class + using for precise arm state, double (left and right) or single + """ + def __init__(self, ArmBase, state, urdf_path): + self.robot_model = ArmBase.robot_model + self.robot_data = ArmBase.robot_data + self.state = state + self.urdf_path = urdf_path + self.joint_index = [] + self.gripper_index = [] + self.actuator_index = [] + self.base_joint_index = [] + self.base_actuator_index = [] + self.ee_mocap = None + self.ee = None + self.init_pose = None + self.init_base_pose = None + self.arm_base_link = None + self.arm_base_pos = None + self.arm_base_mat = None + self.name = None + self.interpolator = None + + + @property + def InitKDL(self): + if self.state == "single": + self.kdl_solver = KDL_utils(self.urdf_path) + self.kdl_solver.resetChain(self.arm_base_link,self.ee) + else: + print("failed to Init KDL !") + + @property + def jnt_num(self): + return len(self.joint_index) + + @property + def gripper_num(self): + return len(self.gripper_index) + + def getBaseJoint(self): + """base joints are the rotation joints in robot stand """ + self.base_joint_index = [string for string in self.joint_index if 'base' in string] + return self.base_joint_index + + def getBaseActuator(self): + """base actuators are the rotation motors in robot stand """ + self.base_actuator_index = [string for string in self.actuator_index if 'base' in string] + return self.base_actuator_index + + def setArmInitPose(self, initPose: np.array): + if len(initPose) == self.jnt_num: + self.init_pose = initPose + else: + raise ValueError("shape error for input pose vector") # need to optimize + + def setBaseInitPose(self, initBasePose: np.array): + if len(self.init_base_pose) == len(initBasePose): + self.init_base_pose = initBasePose + else: + raise ValueError("shape error for input pose vector") # need to optimize + + def get_Joint_index(self): + joint_index = [] + for i in range(self.jnt_num): + joint_index.append(self.joint_index[i]) + return joint_index + + def get_Gripper_index(self): + ''' + left then right + ''' + gripper_index = [] + for i in range(len(self.gripper_index)): + gripper_index.append(self.gripper_index[i]) + return gripper_index + + def get_Joint_id(self): + joint_id = [] + for i in range(self.jnt_num): + joint_id.append(mujoco.mj_name2id(self.robot_model, mujoco.mjtObj.mjOBJ_JOINT, self.joint_index[i])) + return joint_id + + def set_Arm_base_link(self,link): + self.arm_base_link = link + + def set_Arm_ee_link(self,ee): + self.ee = ee + + def get_Arm_bias_frame(self): + xpos = self.robot_data.body(self.arm_base_link).xpos + xmat = self.robot_data.body(self.arm_base_link).xmat + return xpos,xmat + + def CartPoseComp(self): + # print("arm_base_link===",self.arm_base_link) + arm_base_pos, arm_base_mat = self.get_Arm_bias_frame() + # print("in arm_base:",arm_base_pos) + self.arm_base_pos = self.kdl_solver.setVec(arm_base_pos) + self.arm_base_mat = self.kdl_solver.setRot(arm_base_mat).Inverse() + + return self.arm_base_pos, self.arm_base_mat + + @property + def arm_qpos(self): + qpos_states = [] + for i in range(self.jnt_num): + qpos_states.append(self.robot_data.joint(self.joint_index[i]).qpos[0]) + return qpos_states + + @arm_qpos.setter + def arm_qpos(self, value): + raise ValueError("You cannot set qpos directly.") + + @property + def arm_qvel(self): + qvel_states = [] + for i in range(self.jnt_num): + qvel_states.append(self.robot_data.joint(self.joint_index[i]).qvel[0]) + return qvel_states + + @property + def arm_torq(self): + qtorq_states = [] + for i in range(self.jnt_num): + qtorq_states.append(self.robot_data.actuator(self.actuator_index[i]).ctrl[0]) + return qtorq_states diff --git a/roboimi/assets/robots/bidiana_med_vs.py b/roboimi/assets/robots/bidiana_med_vs.py new file mode 100644 index 0000000..2151496 --- /dev/null +++ b/roboimi/assets/robots/bidiana_med_vs.py @@ -0,0 +1,46 @@ +from roboimi.assets.robots.arm_base import * +import os + + + +class BiDianaMedVS(ArmBase): + def __init__(self): + super().__init__( + name="bidiana_med", + urdf_path= "./assets/models/manipulators/DianaMed/DianaMed_vs.urdf", + xml_path = "./assets/models/manipulators/DianaMed/BiDianaMed_vs.xml", + gripper=None + ) + self.left_arm = self.Arm(self, 'single', self.urdf_path) + self.left_arm.set_Arm_base_link('base_link') + self.left_arm.set_Arm_ee_link('link7') + self.left_arm.InitKDL + self.left_arm.joint_index = ['0_j1', '0_j2', '0_j3', '0_j4', '0_j5', '0_j6', '0_j7'] + self.left_arm.actuator_index = ['0_m1', '0_m2', '0_m3', '0_m4', '0_m5', '0_m6', '0_m7'] + self.left_arm.setArmInitPose(self.init_qpos) + self.arms.append(self.left_arm) + + self.aruco_arm = self.Arm(self, 'single',self.urdf_path) + self.aruco_arm.set_Arm_base_link('base_link_aruco') + self.aruco_arm.set_Arm_ee_link('link7_aruco') + self.aruco_arm.InitKDL + self.aruco_arm.joint_index = ['0_aruco_j1', '0_aruco_j2', '0_aruco_j3', '0_aruco_j4', '0_aruco_j5', '0_aruco_j6', '0_aruco_j7'] + self.aruco_arm.actuator_index = ['0_aruco_m1', '0_aruco_m2', '0_aruco_m3', '0_aruco_m4', '0_aruco_m5', '0_aruco_m6', '0_aruco_m7'] + self.aruco_arm.setArmInitPose(self.init_aruco_qpos) + self.arms.append(self.aruco_arm) + self.jnt_num = self.left_arm.jnt_num + self.aruco_arm.jnt_num + + # joint PD + self.kp = 500 * np.ones(self.jnt_num) + self.kd = 44.57 * np.ones(self.jnt_num) + print("BiDianaMed init !") + + @property + def init_qpos(self): + """ Robot's init joint position. """ + return np.array([0.0, 0.0, 0.0, 1.5708, 0.0, 0.0, 0.0]) + + @property + def init_aruco_qpos(self): + """ Robot's init joint position. """ + return np.array([0.0, 0.0, 0.0, 1.5708, 0.0, 0.0, 0.0]) diff --git a/roboimi/assets/robots/diana_med.py b/roboimi/assets/robots/diana_med.py new file mode 100644 index 0000000..234b50e --- /dev/null +++ b/roboimi/assets/robots/diana_med.py @@ -0,0 +1,93 @@ +from roboimi.utils import RobotGenerator +from roboimi.assets.robots.arm_base import * +import os + + +class DianaMed(ArmBase): + def __init__(self): + self.robot = RobotGenerator( + name='singlediana', + scene='default', + chassis=None, + manipulator='DianaMed', + gripper=None, + g2m_body=['0_link7'] + ) + self.load_aruco() + super().__init__( + name="diana_med", + urdf_path=os.path.join(os.path.dirname(__file__), "../models/manipulators/DianaMed/DianaMed.urdf"), + xml_path="./assets/singlediana.xml", + gripper=None + ) + self.single_arm = self.Arm(self, 'single',self.urdf_path) + self.single_arm.joint_index = ['0_j1', '0_j2', '0_j3', '0_j4', '0_j5', '0_j6', '0_j7'] + self.single_arm.actuator_index = ['0_a1', '0_a2', '0_a3', '0_a4', '0_a5', '0_a6', '0_a7'] + self.single_arm.setArmInitPose(self.init_qpos) + self.arms.append(self.single_arm) + + self.jnt_num = self.single_arm.jnt_num + # joint PD + self.kp = 500 * np.ones(self.jnt_num) + self.kd = 44.57 * np.ones(self.jnt_num) + + print("DianaMed init !") + + def load_aruco(self): + self.robot.add_texture('aruco', type='2d', + file=os.path.join(os.path.dirname(__file__), '../textures/aruco.png')) + self.robot.add_material('aruco', texture='aruco', texrepeat='1 1', texuniform='false') + self.robot.add_body(node='worldbody',name='aruco') + self.robot.add_geom(node='aruco', name='aruco_box', pos='0.919 0 1.27', mass='0.001', + euler="0 -1.57 0", size='0.05 0.05 0.001', type='box', material='aruco') + self.robot.add_joint(node='aruco', name='aruco_x' ,type='slide' ,axis='1 0 0') + self.robot.add_joint(node='aruco', name='aruco_y' ,type='slide' ,axis='0 1 0') + self.robot.add_joint(node='aruco', name='aruco_z' ,type='slide' ,axis='0 0 1') + + + + + @property + def init_qpos(self): + """ Robot's init joint position. """ + # return np.array([0.0, -np.pi / 4.0, 0.0, np.pi / 2.0, 0.00, np.pi / 4.0, 0.0]) + return np.array([0.0, 0.0, 0.0, 1.57, 0.0, 0.0, 0.0]) + + +class BiDianaMed(ArmBase): + def __init__(self): + super().__init__( + name="Bidiana", + urdf_path="./assets/models/manipulators/DianaMed/DualDianaMed.urdf", + xml_path="./assets/models/manipulators/DianaMed/bi_diana_transfer_ee.xml", + gripper=None + ) + self.left_arm = self.Arm(self, 'single', self.urdf_path) + self.left_arm.set_Arm_base_link('left_base_link') + self.left_arm.set_Arm_ee_link('left_link7') + self.left_arm.InitKDL + self.left_arm.joint_index = ['l_j1','l_j2','l_j3','l_j4','l_j5','l_j6','l_j7'] + self.left_arm.gripper_index = ['l_finger_joint_left','r_finger_joint_left'] + self.left_arm.actuator_index = ['a1_l','a2_l','a3_l','a4_l','a5_l','a6_l','a7_l','gripper_left'] + self.left_arm.setArmInitPose(self.init_qpos) + self.arms.append(self.left_arm) + self.right_arm = self.Arm(self,'single', self.urdf_path) + self.right_arm.set_Arm_base_link('right_base_link') + self.right_arm.set_Arm_ee_link('right_link7') + self.right_arm.InitKDL + self.right_arm.joint_index = ['r_j1','r_j2','r_j3','r_j4','r_j5','r_j6','r_j7'] + self.right_arm.gripper_index = ['l_finger_joint_right','r_finger_joint_right'] + self.right_arm.actuator_index = ['a1_r','a2_r','a3_r','a4_r','a5_r','a6_r','a7_r','gripper_right'] + self.right_arm.setArmInitPose(self.init_qpos) + self.arms.append(self.right_arm) + self.jnt_num = self.left_arm.jnt_num + self.right_arm.jnt_num + # joint PD + self.kp = 500 * np.ones(self.jnt_num) + self.kd = 44.57 * np.ones(self.jnt_num) + # print("Double Diana init !") + + @property + def init_qpos(self): + """ Robot's init joint position. """ + return np.array([0.0, 0.0, 0.0, 1.57, 0.0, 0.0, 0.0]) + diff --git a/roboimi/assets/robots/diana_med_sig.py b/roboimi/assets/robots/diana_med_sig.py new file mode 100644 index 0000000..1754992 --- /dev/null +++ b/roboimi/assets/robots/diana_med_sig.py @@ -0,0 +1,40 @@ +from roboimi.utils import RobotGenerator +from roboimi.assets.robots.arm_base import * +import os + + +class DianaMed(ArmBase): + def __init__(self): + self.robot = RobotGenerator( + name='singlediana', + scene='default', + chassis=None, + manipulator='DianaMed', + gripper=None, + g2m_body=['0_link7'] + ) + super().__init__( + name="diana_med", + urdf_path=os.path.join(os.path.dirname(__file__), "../models/manipulators/DianaMed/DianaMed.urdf"), + xml_path="./assets/singlediana.xml", + gripper=None + ) + self.single_arm = self.Arm(self, 'single',self.urdf_path) + self.single_arm.joint_index = ['0_j1', '0_j2', '0_j3', '0_j4', '0_j5', '0_j6', '0_j7'] + self.single_arm.actuator_index = ['0_a1', '0_a2', '0_a3', '0_a4', '0_a5', '0_a6', '0_a7'] + self.single_arm.setArmInitPose(self.init_qpos) + self.arms.append(self.single_arm) + + self.jnt_num = self.single_arm.jnt_num + # joint PD + self.kp = 500 * np.ones(self.jnt_num) + self.kd = 44.57 * np.ones(self.jnt_num) + + print("DianaMed init !") + + + + @property + def init_qpos(self): + """ Robot's init joint position. """ + return np.array([0.0, -np.pi / 4.0, 0.0, np.pi / 2.0, 0.00, np.pi / 4.0, 0.0]) diff --git a/roboimi/assets/robots/robot_base.py b/roboimi/assets/robots/robot_base.py new file mode 100644 index 0000000..45116be --- /dev/null +++ b/roboimi/assets/robots/robot_base.py @@ -0,0 +1,24 @@ +import numpy as np +import os +import sys + + +class ModelBase(object): + def __init__(self): + self.arms = [] + self.chasis = None + self.grippers = [] + pass + + def splicer(self): + pass + + + class arm(ArmBase): + pass + + class mobile(MobileBase): + pass + + class gripper(GripperBase): + pass \ No newline at end of file diff --git a/roboimi/assets/robots/vx300s.py b/roboimi/assets/robots/vx300s.py new file mode 100644 index 0000000..307f08e --- /dev/null +++ b/roboimi/assets/robots/vx300s.py @@ -0,0 +1,164 @@ +from roboimi.assets.robots.arm_base import * +import os + + +class VX300s_insert_ee(ArmBase): + def __init__(self): + super().__init__( + name="vx300s", + urdf_path=None, + xml_path="./assets/models/manipulators/vx300s/bi_vx300s_insertion_ee.xml", + gripper=None + ) + self.left_arm = self.Arm(self, 'single', self.urdf_path) + self.left_arm.joint_index = ['vx300s_left/waist', 'vx300s_left/shoulder', 'vx300s_left/elbow', 'vx300s_left/forearm_roll', 'vx300s_left/wrist_angle','vx300s_left/wrist_rotate'] + self.left_arm.gripper_index = ['vx300s_left/left_finger','vx300s_left/right_finger'] + self.left_arm.actuator_index = ['vx300s_left/left_finger_t', 'vx300s_left/right_finger_t'] + self.left_arm.setArmInitPose(np.array([0.5,0.0,0.0,0.0,0.0,0.0])) + self.left_arm.ee_mocap = 0 + self.arms.append(self.left_arm) + self.right_arm = self.Arm(self,'single', self.urdf_path) + self.right_arm.joint_index = ['vx300s_right/waist', 'vx300s_right/shoulder', 'vx300s_right/elbow', 'vx300s_right/forearm_roll', 'vx300s_right/wrist_angle','vx300s_right/wrist_rotate'] + self.right_arm.gripper_index = ['vx300s_right/left_finger','vx300s_right/right_finger'] + self.right_arm.actuator_index = ['vx300s_right/left_finger_t', 'vx300s_right/right_finger_t'] + self.right_arm.setArmInitPose(np.array([-0.5,0.0,0.0,0.0,0.0,0.0])) + self.right_arm.ee_mocap = 1 + self.arms.append(self.right_arm) + self.jnt_num = self.left_arm.jnt_num + self.right_arm.jnt_num + + # joint PD + # self.kp = 500 * np.ones(self.jnt_num) + # self.kd = 44.57 * np.ones(self.jnt_num) + + # print("Dual VX300s init !") + + @property + def init_qpos(self): + """ Robot's init joint position. """ + return np.array([-0.5, 0.0, 0.0, 0.0, 0.0, 0.0]) + + + + +class VX300s_transfer_ee(ArmBase): + def __init__(self): + super().__init__( + name="vx300s", + urdf_path=None, + xml_path="./assets/models/manipulators/vx300s/bi_vx300s_transfer_ee.xml", + gripper=None + ) + self.left_arm = self.Arm(self, 'single', self.urdf_path) + self.left_arm.joint_index = ['vx300s_left/waist', 'vx300s_left/shoulder', 'vx300s_left/elbow', 'vx300s_left/forearm_roll', 'vx300s_left/wrist_angle','vx300s_left/wrist_rotate'] + self.left_arm.actuator_index = ['vx300s_left/left_finger_t', 'vx300s_left/right_finger_t'] + self.left_arm.setArmInitPose(self.init_qpos) + self.left_arm.ee_mocap = 0 + self.arms.append(self.left_arm) + self.right_arm = self.Arm(self,'single', self.urdf_path) + self.right_arm.joint_index = ['vx300s_right/waist', 'vx300s_right/shoulder', 'vx300s_right/elbow', 'vx300s_right/forearm_roll', 'vx300s_right/wrist_angle','vx300s_right/wrist_rotate'] + self.right_arm.actuator_index = ['vx300s_right/left_finger_t', 'vx300s_right/right_finger_t'] + self.right_arm.setArmInitPose(self.init_qpos) + self.right_arm.ee_mocap = 1 + self.arms.append(self.right_arm) + self.jnt_num = self.left_arm.jnt_num + self.right_arm.jnt_num + + print("VX300s left init !") + + @property + def init_qpos(self): + """ Robot's init joint position. """ + return np.array([0.0, 0.0, 0.0, 0.0, 0.0, 0.0]) + + + +class VX300s_insert_jnt(ArmBase): + def __init__(self): + super().__init__( + name="vx300s", + urdf_path=None, + xml_path="./assets/models/manipulators/vx300s/bi_vx300s_insert_jnt.xml", + gripper=None + ) + self.left_arm = self.Arm(self, 'single', self.urdf_path) + self.left_arm.joint_index = ['vx300s_left/waist', 'vx300s_left/shoulder', 'vx300s_left/elbow', 'vx300s_left/forearm_roll', 'vx300s_left/wrist_angle','vx300s_left/wrist_rotate'] + self.left_arm.gripper_index = ['vx300s_left/left_finger','vx300s_left/right_finger'] + self.left_arm.actuator_index = ['vx300s_left/waist_t', + 'vx300s_left/shoulder_t', + 'vx300s_left/elbow_t', + 'vx300s_left/forearm_roll_t', + 'vx300s_left/wrist_angle_t', + 'vx300s_left/wrist_rotate_t', + 'vx300s_left/left_finger_t', + 'vx300s_left/right_finger_t'] + self.left_arm.setArmInitPose(self.init_qpos) + self.arms.append(self.left_arm) + self.right_arm = self.Arm(self,'single', self.urdf_path) + self.right_arm.joint_index = ['vx300s_right/waist', 'vx300s_right/shoulder', 'vx300s_right/elbow', 'vx300s_right/forearm_roll', 'vx300s_right/wrist_angle','vx300s_right/wrist_rotate'] + self.right_arm.gripper_index = ['vx300s_right/left_finger','vx300s_right/right_finger'] + self.right_arm.actuator_index = ['vx300s_right/waist_t', + 'vx300s_right/shoulder_t', + 'vx300s_right/elbow_t', + 'vx300s_right/forearm_roll_t', + 'vx300s_right/wrist_angle_t', + 'vx300s_right/wrist_rotate_t', + 'vx300s_right/left_finger_t', + 'vx300s_right/right_finger_t'] + self.right_arm.setArmInitPose(self.init_qpos) + self.arms.append(self.right_arm) + self.jnt_num = self.left_arm.jnt_num + self.right_arm.jnt_num + + # joint PD + # self.kp = 500 * np.ones(self.jnt_num) + # self.kd = 44.57 * np.ones(self.jnt_num) + + # print("Dual VX300s init !") + + @property + def init_qpos(self): + """ Robot's init joint position. """ + return np.array([-0.5, 0.0, 0.0, 0.0, 0.0, 0.0]) + + + +class VX300s_transfer_jnt(ArmBase): + def __init__(self): + super().__init__( + name="vx300s", + urdf_path=None, + xml_path="./assets/models/manipulators/vx300s/bi_vx300s_transfer_jnt.xml", + gripper=None + ) + self.left_arm = self.Arm(self, 'single', self.urdf_path) + self.left_arm.joint_index = ['vx300s_left/waist', 'vx300s_left/shoulder', 'vx300s_left/elbow', 'vx300s_left/forearm_roll', 'vx300s_left/wrist_angle','vx300s_left/wrist_rotate'] + self.left_arm.actuator_index = ['vx300s_left/waist_t', + 'vx300s_left/shoulder_t', + 'vx300s_left/elbow_t', + 'vx300s_left/forearm_roll_t', + 'vx300s_left/wrist_angle_t', + 'vx300s_left/wrist_rotate_t', + 'vx300s_left/left_finger_t', + 'vx300s_left/right_finger_t'] + self.left_arm.setArmInitPose(self.init_qpos) + self.left_arm.ee_mocap = 0 + self.arms.append(self.left_arm) + self.right_arm = self.Arm(self,'single', self.urdf_path) + self.right_arm.joint_index = ['vx300s_right/waist', 'vx300s_right/shoulder', 'vx300s_right/elbow', 'vx300s_right/forearm_roll', 'vx300s_right/wrist_angle','vx300s_right/wrist_rotate'] + self.right_arm.actuator_index = ['vx300s_right/waist_t', + 'vx300s_right/shoulder_t', + 'vx300s_right/elbow_t', + 'vx300s_right/forearm_roll_t', + 'vx300s_right/wrist_angle_t', + 'vx300s_right/wrist_rotate_t', + 'vx300s_right/left_finger_t', + 'vx300s_right/right_finger_t'] + self.right_arm.setArmInitPose(self.init_qpos) + self.right_arm.ee_mocap = 1 + self.arms.append(self.right_arm) + self.jnt_num = self.left_arm.jnt_num + self.right_arm.jnt_num + + print("VX300s left init !") + + @property + def init_qpos(self): + """ Robot's init joint position. """ + return np.array([0.0, 0.0, 0.0, 0.0, 0.0, 0.0]) \ No newline at end of file diff --git a/roboimi/assets/scenes/default.xml b/roboimi/assets/scenes/default.xml new file mode 100644 index 0000000..5556897 --- /dev/null +++ b/roboimi/assets/scenes/default.xml @@ -0,0 +1,27 @@ + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/roboimi/assets/scenes/grasping.xml b/roboimi/assets/scenes/grasping.xml new file mode 100644 index 0000000..e8f32c8 --- /dev/null +++ b/roboimi/assets/scenes/grasping.xml @@ -0,0 +1,105 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/roboimi/assets/scenes/table.xml b/roboimi/assets/scenes/table.xml new file mode 100644 index 0000000..b9cdae5 --- /dev/null +++ b/roboimi/assets/scenes/table.xml @@ -0,0 +1,62 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + 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cv2.VideoWriter.fourcc('M', 'J', 'P', 'G')) + cap.set(cv2.CAP_PROP_FRAME_WIDTH, width) + cap.set(cv2.CAP_PROP_FRAME_HEIGHT, height) + cap.set(cv2.CAP_PROP_FPS, fps) + + if not cap.isOpened(): + print("Error: Could not open camera") + return + else: + print("camera detected !") + try: + while True: + ret, frame = cap.read() + + if not ret: + print("Error: Failed to capture frame") + break + + height, width = frame.shape[:2] + left_half = frame[:, :width//2] + right_half = frame[:, width//2:] + + split_frame = np.hstack((left_half ,right_half)) + + cv2.imshow('Camera Frame', split_frame) + + key = cv2.waitKey(10) + if key == 27: # "q" + break + + finally: + cap.release() + cv2.destroyAllWindows() + +def main(): + capture_and_split_camera( + device=0, # Camera device node + width=1856, # Frame width + height=800, # Frame height + fps=30 # Frames per second + ) + # capture_and_split_camera( + # device=0, # Camera device node + # width=1856/2, # Frame width + # height=800/2, # Frame height + # fps=30*2 # Frames per second + # ) +if __name__ == "__main__": + main() \ No newline at end of file diff --git a/roboimi/demos/config.yaml b/roboimi/demos/config.yaml new file mode 100644 index 0000000..16ab129 --- /dev/null +++ b/roboimi/demos/config.yaml @@ -0,0 +1,60 @@ + +# general settings +onscreen_render: false +eval: 1 +ckpt_dir: "ckpt_models" +num_epochs: 20000 +temporal_agg: false + +# policy_class: "ACT" +# backbone: 'resnet18' +policy_class: "ACTTV" +backbone: 'dino_v2' + +seed: 0 +real_robot: 0 +# task_name: "sim_transfer_cube" +task_name: "sim_transfer" + + +images_render_height: 480 +images_render_width: 640 + + +# DOF settings +left_arm_DOF_number: 6 +right_arm_DOF_number: 6 +left_qpos_raw: 8 +right_qpos_raw: 8 +left_qvel_raw: 8 +right_qvel_raw: 8 + + + +# record settings +dataset_dir: # leave empty here by default +num_episodes: # leave empty here by default +episode_len: # leave empty here by default +camera_names: [] # leave empty here by default +xml_dir: # leave empty here by default + +# transformer settings +batch_size: 15 +state_dim: 16 +action_dim: 16 +lr_backbone: 0.00001 + +enc_layers: 4 +dec_layers: 7 +nheads: 8 + +qpos_noise_std: 0 +DT: 0.02 + +# DO NOT CHANGE IF UNNECESSARY +lr: 0.00001 +kl_weight: 100 +chunk_size: 10 +hidden_dim: 512 +dim_feedforward: 3200 + diff --git a/roboimi/demos/diana_eval.py b/roboimi/demos/diana_eval.py new file mode 100644 index 0000000..1c85258 --- /dev/null +++ b/roboimi/demos/diana_eval.py @@ -0,0 +1,119 @@ +import torch +import os +import numpy as np +import matplotlib.pyplot as plt +from tqdm import tqdm +from einops import rearrange +from roboimi.utils.utils import set_seed +from roboimi.utils.io_utils import IOUtils +from roboimi.utils.model_interface import ModelInterface +from roboimi.envs.double_pos_ctrl_env import make_sim_env +# from visualize_episodes import save_videos +from roboimi.utils.act_ex_utils import sample_transfer_pose + + + +#should be added into IOUtils +def get_image(obs,camera_names): + curr_images = [] + for cam_name in camera_names: + curr_image = rearrange(obs['images'][cam_name], 'h w c -> c h w') + curr_images.append(curr_image) + curr_image = np.stack(curr_images, axis=0) + curr_image = torch.from_numpy(curr_image / 255.0).float().cuda().unsqueeze(0) + return curr_image + + +def eval_bc(config, ckpt_name='policy_best.ckpt', save_episode=True): + set_seed(1) + model_interface = ModelInterface(config) + model_interface.setup() + policy = IOUtils.load_policy(config, ckpt_name) + stats = IOUtils.load_stats(config['ckpt_dir']) + num_rollouts = 3 + episode_returns = [] + highest_rewards = [] + + + + + + run_episode(config, policy, stats, + save_episode,num_rollouts) + # episode_return, episode_highest_reward = run_episode(config, policy, stats, + # save_episode,num_rollouts) + + + + +def run_episode(config, policy, stats, save_episode,num_rollouts): + + if 'sim_transfer' in config['task_name']: + task_name = 'sim_transfer' #config['task_name'] + env = make_sim_env(task_name) + + max_timesteps = config['episode_len'] + max_timesteps = int(max_timesteps * 1) + pre_process = lambda s_qpos: (s_qpos - stats['qpos_mean']) / stats['qpos_std'] + post_process = lambda a: a * stats['action_std'] + stats['action_mean'] + box_pos = sample_transfer_pose() + for rollout_id in range(num_rollouts): + print("\nrollout_id===",rollout_id,"\n") + image_list = [] + rewards = [] + query_frequency = config['policy_config'].get('num_queries', 1) + print("query_freq =====",query_frequency) + env.reset(box_pos) + with torch.inference_mode(): + for t in range(700): + image_list.append(env._get_image_obs()['images'] if 'images' in env._get_image_obs() else {print("img error")}) + qpos_numpy = np.array(env._get_qpos_obs()['qpos']) + qpos = pre_process(qpos_numpy) + qpos = torch.from_numpy(qpos).float().cuda().unsqueeze(0) + curr_image = get_image(env._get_image_obs(), config['camera_names']) + if config['policy_class'] == "ACT" or "ACTTV": + if t % query_frequency == 0: + all_actions = policy(qpos, curr_image) + raw_action = all_actions[:, t % query_frequency] + # raw_action = all_actions[:, t % 1] + raw_action = raw_action.squeeze(0).cpu().numpy() + elif config['policy_class'] == "CNNMLP": + raw_action = policy(qpos, curr_image) + else: + raise NotImplementedError + + + action = post_process(raw_action) + print("action == ",action) + env.step_jnt(action) + rewards.append(env.rew) + env.render() + + + rewards = np.array(rewards) + # episode_return = np.sum(rewards[rewards != None]) + # episode_highest_reward = np.max(rewards) + # env.viewer.close() + + # del env + # return episode_return, episode_highest_reward + + + + +def test_env(): + try: + env = make_sim_env('sim_transfer') + env.reset() + while True: pass + except KeyboardInterrupt: + del env + print("stop") + +if __name__ == '__main__': + # test_env() + io_utils = IOUtils() + config = io_utils.load_config() + eval_bc(config) + + diff --git a/roboimi/demos/diana_policy.py b/roboimi/demos/diana_policy.py new file mode 100644 index 0000000..f710d76 --- /dev/null +++ b/roboimi/demos/diana_policy.py @@ -0,0 +1,123 @@ +import numpy as np +import matplotlib.pyplot as plt +from pyquaternion import Quaternion #for specific task + + + +class PolicyBase: + def __init__(self, inject_noise=False): + self.inject_noise = inject_noise + self.step_count = 0 + self.left_trajectory = None + self.right_trajectory = None + # print("init base policy") + + def generate_trajectory(self, obs): + raise NotImplementedError + + @staticmethod + def interpolate(curr_waypoint, next_waypoint, t): + t_frac = (t - curr_waypoint["t"]) / (next_waypoint["t"] - curr_waypoint["t"]) + curr_xyz = curr_waypoint['xyz'] + curr_quat = curr_waypoint['quat'] + curr_grip = curr_waypoint['gripper'] + next_xyz = next_waypoint['xyz'] + next_quat = next_waypoint['quat'] + next_grip = next_waypoint['gripper'] + xyz = curr_xyz + (next_xyz - curr_xyz) * t_frac + quat = curr_quat + (next_quat - curr_quat) * t_frac + gripper = curr_grip + (next_grip - curr_grip) * t_frac + return xyz, quat, gripper + + def predict(self, obs, step_count): + # generate trajectory at first timestep, then open-loop execution + self.step_count = step_count + # print("\nstep_counter===",self.step_count,"\n") + if self.step_count == 0: + self.generate_trajectory(obs) + # print("init scripted policy !") + action_l = np.array([-0.17297014, 1.00485877, 1.32773627, + 7.06825181e-01, 8.20281078e-06, -7.07388269e-01, -5.20399313e-06]) + action_r = np.array([0.17297014, 0.9951369, 1.32773623, + 2.59463975e-06, 7.07388269e-01, 5.59551158e-06, 7.06825181e-01]) + action_gripper = np.array([100,100]) + action = np.hstack((action_l,action_r,action_gripper)) + return action + # obtain left and right waypoints + # elif self.step_count >= 1: + # action_l = np.array([-0.81444094, 1.0, 1.869898, + # 1.0,0.0,0.0,0.0]) + # action_r = np.array([0.81444094, 1.0, 1.869898, + # 1.0,0.0,0.0,0.0]) + # action_gripper = np.array([100,100]) + # action = np.hstack((action_l,action_r,action_gripper)) + # return action + elif self.step_count >= 1: + if self.left_trajectory[0]['t'] == self.step_count: + self.curr_left_waypoint = self.left_trajectory.pop(0) + next_left_waypoint = self.left_trajectory[0] + + if self.right_trajectory[0]['t'] == self.step_count: + self.curr_right_waypoint = self.right_trajectory.pop(0) + next_right_waypoint = self.right_trajectory[0] + + # Inject noise + if self.inject_noise: + scale = 0.01 + left_xyz = left_xyz + np.random.uniform(-scale, scale, left_xyz.shape) + right_xyz = right_xyz + np.random.uniform(-scale, scale, right_xyz.shape) + + # interpolate between waypoints to obtain current pose and gripper command + left_xyz, left_quat, left_gripper = self.interpolate(self.curr_left_waypoint, next_left_waypoint, self.step_count) + right_xyz, right_quat, right_gripper = self.interpolate(self.curr_right_waypoint, next_right_waypoint, self.step_count) + action_gripper = np.array([left_gripper,right_gripper]) + action_left = np.concatenate([left_xyz, left_quat]) + action_right = np.concatenate([right_xyz, right_quat]) + self.step_count += 1 + return np.hstack([action_left, action_right,action_gripper]) + + + else: + raise AttributeError + + +class TestPickAndTransferPolicy(PolicyBase): + def generate_trajectory(self, box_pos): + init_mocap_pose_left = np.array([-0.17297014, 1.00485877, 1.32773627, + 7.06825181e-01, 8.20281078e-06, -7.07388269e-01, -5.20399313e-06]) # 双臂直角 + init_mocap_pose_right = np.array([0.17297014, 0.9951369, 1.32773623, + 2.59463975e-06, 7.07388269e-01, 5.59551158e-06, 7.06825181e-01]) + + box_xyz = box_pos + # box_quat = box_info[3:] + # print(f"Generate trajectory for {box_xyz=}") + + gripper_quat = Quaternion(init_mocap_pose_right[3:]) + gripper_approach_quat = gripper_quat * Quaternion(axis=[0.0, 1.0, 0.0], degrees=45) + gripper_pick_quat = gripper_quat * Quaternion(axis=[0.0, 1.0, 0.0], degrees=90) + + meet_xyz = np.array([0, 1.0, 1.3277]) + meet_right_quat = gripper_quat + meet_left_quat = Quaternion(init_mocap_pose_left[3:]) * Quaternion(axis=[0.0, 0.0, 1.0], degrees=-90) + + self.right_trajectory = [ + {"t": 1, "xyz": init_mocap_pose_right[:3], "quat": init_mocap_pose_right[3:], "gripper": -100}, # sleep + {"t": 75, "xyz": np.array([(0.8+box_xyz[0])*0.5,(1.0+box_xyz[1])*0.5,init_mocap_pose_right[2]]), "quat": gripper_approach_quat.elements, "gripper": 100}, + {"t": 225, "xyz": box_xyz + np.array([0, 0, 0.3]), "quat": gripper_pick_quat.elements, "gripper": 100}, # approach the cube + {"t": 275, "xyz": box_xyz + np.array([0, 0, 0.12]), "quat": gripper_pick_quat.elements, "gripper": 100}, # go down + {"t": 280, "xyz": box_xyz + np.array([0, 0, 0.12]), "quat": gripper_pick_quat.elements, "gripper": -100}, # close gripper + {"t": 450, "xyz": init_mocap_pose_right[:3], "quat": init_mocap_pose_right[3:], "gripper": -100},# approach wait position + {"t": 500, "xyz": meet_xyz + np.array([0.1, 0, 0.0]), "quat": meet_right_quat.elements, "gripper": -100},# approach meet position + {"t": 510, "xyz": meet_xyz + np.array([0.1, 0, 0.0]), "quat": meet_right_quat.elements, "gripper": 100}, # open gripper + {"t": 675, "xyz": meet_xyz + np.array([0.4, 0, 0.0]), "quat": meet_right_quat.elements, "gripper": 100}, # move to right + {"t": 700, "xyz": meet_xyz + np.array([0.4, 0, 0.0]), "quat": meet_right_quat.elements, "gripper": 100}, # stay + ] + + self.left_trajectory = [ + {"t": 1, "xyz": init_mocap_pose_left[:3], "quat": init_mocap_pose_left[3:], "gripper": -100},# sleep + {"t": 250, "xyz": meet_xyz + np.array([-0.5, 0, 0.0]), "quat": meet_left_quat.elements, "gripper": 100}, # approach meet position + {"t": 500, "xyz": meet_xyz + np.array([-0.15, 0, 0.0]), "quat": meet_left_quat.elements, "gripper": 100}, # move to meet position + {"t": 505, "xyz": meet_xyz + np.array([-0.15, 0, 0.0]), "quat": meet_left_quat.elements, "gripper": -100}, # close gripper + {"t": 675, "xyz": meet_xyz + np.array([-0.3, 0, 0.0]), "quat": meet_left_quat.elements, "gripper": -100}, # move left + {"t": 700, "xyz": meet_xyz + np.array([-0.3, 0, 0.0]), "quat": meet_left_quat.elements, "gripper": -100}, # stay + ] diff --git a/roboimi/demos/diana_record_sim_episodes.py b/roboimi/demos/diana_record_sim_episodes.py new file mode 100644 index 0000000..b40062e --- /dev/null +++ b/roboimi/demos/diana_record_sim_episodes.py @@ -0,0 +1,105 @@ +import time +import os,collections,sys +import numpy as np +import h5py +from roboimi.envs.double_pos_ctrl_env import make_sim_env +from diana_policy import TestPickAndTransferPolicy +import cv2 +from roboimi.utils.act_ex_utils import sample_transfer_pose + +import pathlib +HOME_PATH = str(pathlib.Path(__file__).parent.resolve()) +DATASET_DIR = HOME_PATH + '/dataset' + + +def main(): + task_name = 'sim_transfer' + dataset_dir = DATASET_DIR + '/sim_transfer' #SIM_TASK_CONFIGS[task_name]['dataset_dir'] + num_episodes = 100 #SIM_TASK_CONFIGS[task_name]['num_episodes'] + onscreen_render = None #config['onscreen_render'] + inject_noise = False + render_cam_name = 'angle' + + episode_len = 700 #SIM_TASK_CONFIGS[task_name]['episode_len'] + camera_names = ['angle','r_vis'] #SIM_TASK_CONFIGS[task_name]['camera_names'] + if task_name == 'sim_transfer': + policy = TestPickAndTransferPolicy(inject_noise) + print(task_name) + else: + raise NotImplementedError + + success = [] + + env = make_sim_env(task_name) + policy = TestPickAndTransferPolicy(inject_noise) + for episode_idx in range(num_episodes): + obs = [] + reward_ee = [] + print(f'\n{episode_idx=}') + print('Rollout out EE space scripted policy') + box_pos = sample_transfer_pose() + env.reset(box_pos) + for step in range(episode_len): + + + action = policy.predict(box_pos,step) + env.step(action) + env.render() + reward_ee.append(env.rew) + obs.append(env.obs) + sum_reward = np.sum(reward_ee) + max_reward = np.max(reward_ee) + if max_reward == env.max_reward: + success.append(1) + print(f"{episode_idx=} Successful, {sum_reward=}") + t0 = time.time() + data_dict = { + '/observations/qpos': [], + '/action': [], + } + + for cam_name in camera_names: + data_dict[f'/observations/images/{cam_name}'] = [] + for i in range(episode_len): + print("type qpos==",obs[i]['qpos']) + data_dict['/observations/qpos'].append(obs[i]['qpos']) + data_dict['/action'].append(obs[i]['action']) + for cam_name in camera_names: + data_dict[f'/observations/images/{cam_name}'].append(obs[i]['images'][cam_name]) + + dataset_path = os.path.join(dataset_dir, f'episode_{episode_idx}') + + with h5py.File(dataset_path + '.hdf5', 'w', rdcc_nbytes=1024 ** 2 * 2) as root: + max_timesteps = episode_len + root.attrs['sim'] = True + obs_ = root.create_group('observations') + image = obs_.create_group('images') + for cam_name in camera_names: + _ = image.create_dataset(cam_name, (max_timesteps, 480, 640, 3), dtype='uint8', + chunks=(1, 480, 640, 3), ) + qpos = obs_.create_dataset('qpos', (max_timesteps, 16)) + action = root.create_dataset('action', (max_timesteps, 16)) + for name, array in data_dict.items(): + root[name][...] = np.array(array) + else: + success.append(0) + print(f"{episode_idx=} Failed") + print(max_reward) + del obs + del reward_ee + del sum_reward + del max_reward + + # del policy + # env.viewer.close() + # del env + print(f'Success: {np.sum(success)} / {len(success)}') + env.exit_flag = True + cv2.destroyAllWindows() + cv2.waitKey(1) + env.cam_thread.join() + env.viewer.close() + + +if __name__ == '__main__': + main() \ No newline at end of file diff --git a/roboimi/demos/eval.py b/roboimi/demos/eval.py new file mode 100644 index 0000000..792c81a --- /dev/null +++ b/roboimi/demos/eval.py @@ -0,0 +1,152 @@ +import torch +import os +import numpy as np +import matplotlib.pyplot as plt +from tqdm import tqdm +from einops import rearrange +from roboimi.utils.utils import set_seed +from roboimi.utils.io_utils import IOUtils +from roboimi.utils.model_interface import ModelInterface +from roboimi.envs.vx300s_jnt import make_sim_env +import time + +# from visualize_episodes import save_videos +from roboimi.utils.utils import sample_box_pose, sample_insertion_pose + + + +#should be added into IOUtils +def get_image(obs,camera_names): + curr_images = [] + for cam_name in camera_names: + curr_image = rearrange(obs['images'][cam_name], 'h w c -> c h w') + curr_images.append(curr_image) + curr_image = np.stack(curr_images, axis=0) + curr_image = torch.from_numpy(curr_image / 255.0).float().cuda().unsqueeze(0) + return curr_image + + +def eval_bc(config, ckpt_name='policy_best.ckpt', save_episode=True): + set_seed(1) + model_interface = ModelInterface(config) + task_name = 'sim_insertion' #config['task_name'] + model_interface.setup() + policy = IOUtils.load_policy(config, ckpt_name) + stats = IOUtils.load_stats(config['ckpt_dir']) + num_rollouts = 3 + episode_returns = [] + highest_rewards = [] + for rollout_id in range(num_rollouts): + episode_return, episode_highest_reward = run_episode(config, policy, stats, + save_episode,rollout_id) + + + + +def run_episode(config, policy, stats, save_episode,rollout_id): + print("\nrollout_id===",rollout_id,"\n") + pre_process = lambda s_qpos: (s_qpos - stats['qpos_mean']) / stats['qpos_std'] + post_process = lambda a: a * stats['action_std'] + stats['action_mean'] + if 'sim_insertion' in config['task_name']: + peg_pose, socket_pose = sample_insertion_pose() + box_pose = np.hstack((peg_pose[:3],socket_pose[:3])) # used in sim reset + task_name = 'sim_insertion' #config['task_name'] + env = make_sim_env(task_name) + env.reset(box_pose) + max_timesteps = config['episode_len'] + max_timesteps = int(max_timesteps * 1) + + image_list = [] + rewards = [] + query_frequency = config['policy_config'].get('num_queries', 1) + + with torch.inference_mode(): + for t in range(700): + # print("obs_img",env.obs['images']) + image_list.append(env.obs['images'] if 'images' in env.obs else {print("img error")}) + qpos_numpy = np.array(env.obs['qpos']) + qpos = pre_process(qpos_numpy) + qpos = torch.from_numpy(qpos).float().cuda().unsqueeze(0) + curr_image = get_image(env.obs, config['camera_names']) + if config['policy_class'] == "ACT" or "ACTTV": + if t % query_frequency == 0: + all_actions = policy(qpos, curr_image) + elif config['policy_class'] == "CNNMLP": + raw_action = policy(qpos, curr_image) + else: + raise NotImplementedError + raw_action = all_actions[:, t % query_frequency] + raw_action = raw_action.squeeze(0).cpu().numpy() + action = post_process(raw_action) + + env.step(action) + rewards.append(env.rew) + env.render() + + + rewards = np.array(rewards) + episode_return = np.sum(rewards[rewards != None]) + episode_highest_reward = np.max(rewards) + env.viewer.close() + + del env + return episode_return, episode_highest_reward + + +def test_env(): + try: + env = make_sim_env('sim_insertion') + box_pos = np.concatenate(sample_insertion_pose()) + env.reset(box_pos) + while True: pass + except KeyboardInterrupt: + del env + print("stop") + + +if __name__ == '__main__': + test_env() + # io_utils = IOUtils() + # config = io_utils.load_config() + # eval_bc(config) + + + + +# config===== {'onscreen_render': False, +# 'eval': 1, +# 'ckpt_dir': 'ckpt_models', +# 'num_epochs': 3000, +# 'temporal_agg': False, +# 'policy_class': 'ACT', +# 'backbone': 'resnet18', +# 'seed': 0, 'real_robot': 0, +# 'task_name': 'sim_insertion', +# 'images_render_height': 480, +# 'images_render_width': 640, +# 'left_arm_DOF_number': 6, +# 'right_arm_DOF_number': 6, +# 'left_qpos_raw': 8, +# 'right_qpos_raw': 8, +# 'left_qvel_raw': 8, +# 'right_qvel_raw': 8, +# 'dataset_dir': '/home/arm/lzd/act_env/dataset/sim_insertion', +# 'num_episodes': 7, +# 'episode_len': 400, +# 'camera_names': ['top'], +# 'xml_dir': None, +# 'batch_size': 8, +# 'state_dim': 14, +# 'action_dim': 14, +# 'lr_backbone': 1e-05, +# 'enc_layers': 4, +# 'dec_layers': 7, +# 'nheads': 8, +# 'qpos_noise_std': 0, +# 'DT': 0.02, +# 'lr': 1e-05, +# 'kl_weight': 10, +# 'chunk_size': 100, +# 'hidden_dim': 512, +# 'dim_feedforward': 3200, +# 'policy_config': {'lr': 1e-05, 'num_queries': 100, 'kl_weight': 10, 'hidden_dim': 512, 'dim_feedforward': 3200, 'lr_backbone': 1e-05, 'backbone': 'resnet18', 'enc_layers': 4, 'dec_layers': 7, 'nheads': 8, 'camera_names': ['top']}} \ No newline at end of file diff --git a/roboimi/demos/record_sim_episodes.py b/roboimi/demos/record_sim_episodes.py new file mode 100644 index 0000000..890a6e6 --- /dev/null +++ b/roboimi/demos/record_sim_episodes.py @@ -0,0 +1,152 @@ +import time +import os +import numpy as np +import argparse +import matplotlib.pyplot as plt +import h5py +from roboimi.envs.vx300s_ee import make_ee_sim_env +from roboimi.envs.vx300s_jnt import make_sim_env +# from io_utils import IOUtils +from roboimi.utils.constants import PUPPET_GRIPPER_POSITION_NORMALIZE_FN, SIM_TASK_CONFIGS +# from ee_sim_env import make_ee_sim_env +from scripted_policy import PickAndTransferPolicy, InsertionPolicy,TestInsertionPolicy +import cv2 + +import pathlib +HOME_PATH = str(pathlib.Path(__file__).parent.resolve()) +DATASET_DIR = HOME_PATH + '/dataset' + + +def main(): + task_name = 'sim_insertion' + dataset_dir = DATASET_DIR + '/sim_insertion' #SIM_TASK_CONFIGS[task_name]['dataset_dir'] + num_episodes = 20 #SIM_TASK_CONFIGS[task_name]['num_episodes'] + onscreen_render = None #config['onscreen_render'] + inject_noise = False + render_cam_name = 'angle' + + episode_len = 1950 #SIM_TASK_CONFIGS[task_name]['episode_len'] + camera_names = ['top'] #SIM_TASK_CONFIGS[task_name]['camera_names'] + if task_name == 'sim_transfer_cube': + print(task_name) + # policy_cls = PickAndTransferPolicy + elif task_name == 'sim_insertion': + policy = TestInsertionPolicy(inject_noise) + # policy_cls = InsertionPolicy + print(task_name,'\n') + else: + raise NotImplementedError + + success = [] + + + for episode_idx in range(num_episodes): + policy = TestInsertionPolicy(inject_noise) + env_ee = make_ee_sim_env(task_name) + print(f'\n{episode_idx=}') + print('Rollout out EE space scripted policy') + env_ee.reset() + if onscreen_render: + print("camera render") + reward_ee = [] + jnt_traj = [] + gripper_ctrl_traj = [] + for step in range(episode_len): + if step == 0: + action = policy.predict(env_ee.obs,step) + env_ee.step(action) + env_ee.render() + if step >= 1: + action = policy.predict(env_ee.obs,step) + env_ee.step(action) + if step == 1: + box_pose = env_ee.obs['env_state'].copy() + env_ee.render() + reward_ee.append(env_ee.rew) + jnt_traj.append(env_ee.obs['qpos']) + gripper_ctrl_traj.append(env_ee.obs['gripper_ctrl']) + # print("\nstep finish",step) + sum_reward = np.sum(reward_ee) + max_reward = np.max(reward_ee) + if max_reward == env_ee.max_reward: + print(f"{episode_idx=} Successful, {sum_reward=}") + else: + print(f"{episode_idx=} Failed") + + del policy + # env_ee.viewer.close() + del env_ee + + print('Replaying joint commands') + time.sleep(1) + env = make_sim_env(task_name) + + reward = [] + obs = [] + env.reset(box_pose) + # print("envt=====",env.event) + for step in range(2,len(jnt_traj)): + action = jnt_traj[step] + env.step(action) + if step == 2: #is np.ndarray + print("step == 2 :type of env.obs.top===",type(env.obs['images']['top'])) + obs.append(env.obs) + env.render() + # print("\nstep===",step) + + reward.append(env.rew) + sum_reward = np.sum(reward) + max_reward = np.max(reward) + # env.event.set() + env.viewer.close() + if max_reward == env.max_reward: + success.append(1) + + print('Replaying',f"{episode_idx=} Successful, {sum_reward=}") + t0 = time.time() + data_dict = { + '/observations/qpos': [], + '/action': [], + } + + for cam_name in camera_names: + data_dict[f'/observations/images/{cam_name}'] = [] + for i in range(2,len(jnt_traj)): + action = jnt_traj[i] + data_dict['/observations/qpos'].append(obs[i-2]['qpos']) + data_dict['/action'].append(action) + for cam_name in camera_names: + data_dict[f'/observations/images/{cam_name}'].append(obs[i-2]['images'][cam_name]) + + dataset_path = os.path.join(dataset_dir, f'episode_{episode_idx}') + + # with h5py.File(dataset_path + '.hdf5', 'w', rdcc_nbytes=1024 ** 2 * 2) as root: + # max_timesteps = len(jnt_traj)-2 + # root.attrs['sim'] = True + # obs = root.create_group('observations') + # image = obs.create_group('images') + # for cam_name in camera_names: + # _ = image.create_dataset(cam_name, (max_timesteps, 480, 640, 3), dtype='uint8', + # chunks=(1, 480, 640, 3), ) + # qpos = obs.create_dataset('qpos', (max_timesteps, 14)) + # action = root.create_dataset('action', (max_timesteps, 14)) + # + # if name == '/observations/images/top': + # root[name][...] = array + # print("image done") + # # print(f'Saving: {time.time() - t0:.1f} secs\n') + + + + else: + success.append(0) + print('Replaying',f"{episode_idx=} Failed") + + + + + del env + + print(f'Success: {np.sum(success)} / {len(success)}') +if __name__ == '__main__': + main() \ No newline at end of file diff --git a/roboimi/demos/replay.py b/roboimi/demos/replay.py new file mode 100644 index 0000000..fd440c7 --- /dev/null +++ b/roboimi/demos/replay.py @@ -0,0 +1,64 @@ +import os,cv2 +import numpy as np +import h5py +from roboimi.envs.double_pos_ctrl_env import make_sim_env + +pwd = os.getcwd() +DATASET_DIR = pwd + '/demos/dataset' + +def traverse_datasets(hdf_file): + all_actions = [] + all_images = [] + def h5py_dataset_iterator(g, prefix=''): + for key in g.keys(): + item = g[key] + path = '{}/{}'.format(prefix, key) + if isinstance(item, h5py.Dataset): + yield (path, item) + elif isinstance(item, h5py.Group): + yield from h5py_dataset_iterator(item, path) + + with h5py.File(hdf_file, 'r') as f: + i = 0 + for (path, dset) in h5py_dataset_iterator(f): + i+=1 + if path == "/action": + # for i in range(): + action = dset[()] + # action = dset + print("len action=",len(action[0])) + print("action=",action[0]) + # all_actions.append(action) + if path == "/observations/images/top": + images = dset[()] + # all_images.append(images) + print("i=",i) + return all_actions,all_images +if __name__ == "__main__": + # env = make_sim_env('sim_transfer') + dataset_dir = DATASET_DIR + '/sim_transfer/episode_0.hdf5' + traverse_datasets(dataset_dir) + # actions,images = traverse_datasets(dataset_dir) + # print("len actions=",len(actions),"len image=",len(images)) + + # box_pos = np.array([0.4878127780735517, 0.7978437132112287, 0.47]) + # env.mj_data.joint('red_box_joint').qpos[0] = box_pos[0] + # env.mj_data.joint('red_box_joint').qpos[1] = box_pos[1] + # env.mj_data.joint('red_box_joint').qpos[2] = box_pos[2] + # env.mj_data.joint('red_box_joint').qpos[3] = 1.0 + # env.mj_data.joint('red_box_joint').qpos[4] = 0.0 + # env.mj_data.joint('red_box_joint').qpos[5] = 0.0 + # env.mj_data.joint('red_box_joint').qpos[6] = 0.0 + # env.reset() + # cv2.namedWindow('Cam view',cv2.WINDOW_NORMAL) + + # for i in range(len(actions)): + # action_l = actions[i][0:7] + # action_r = actions[i][7:14] + # gripper = np.array([actions[i][-2],actions[i][-1]]) + # action = np.hstack((action_l,action_r,gripper)) + # env.step(action) + # cv2.imshow('Cam view', images[i]) + # cv2.waitKey(1) + # if env.is_render: + # env.render() \ No newline at end of file diff --git a/roboimi/demos/scripted_policy.py b/roboimi/demos/scripted_policy.py new file mode 100644 index 0000000..b49d3fd --- /dev/null +++ b/roboimi/demos/scripted_policy.py @@ -0,0 +1,247 @@ +import numpy as np +import matplotlib.pyplot as plt +from pyquaternion import Quaternion #for specific task + + + +class PolicyBase: + def __init__(self, inject_noise=False): + self.inject_noise = inject_noise + self.step_count = 0 + self.left_trajectory = None + self.right_trajectory = None + # print("init base policy") + + def generate_trajectory(self, obs): + raise NotImplementedError + + @staticmethod + def interpolate(curr_waypoint, next_waypoint, t): + t_frac = (t - curr_waypoint["t"]) / (next_waypoint["t"] - curr_waypoint["t"]) + curr_xyz = curr_waypoint['xyz'] + curr_quat = curr_waypoint['quat'] + curr_grip = curr_waypoint['gripper'] + next_xyz = next_waypoint['xyz'] + next_quat = next_waypoint['quat'] + next_grip = next_waypoint['gripper'] + xyz = curr_xyz + (next_xyz - curr_xyz) * t_frac + quat = curr_quat + (next_quat - curr_quat) * t_frac + gripper = curr_grip + (next_grip - curr_grip) * t_frac + return xyz, quat, gripper + + def predict(self, obs, step_count): + # generate trajectory at first timestep, then open-loop execution + self.step_count = step_count + # print("\nstep_counter===",self.step_count,"\n") + if self.step_count == 0: + # print("init scripted policy !") + action_l = np.array([-0.0,0.1,0.3, + 1.0,0.0,0.0,0.0]) + action_r = np.array([0.1,-0.1,0.1, + 1.0,0.0,0.0,0.0]) + action_gripper = np.array([1.0,-0.3]) + action = np.hstack((action_l,action_r,action_gripper)) + return action + # obtain left and right waypoints + elif self.step_count == 1: + self.generate_trajectory(obs) + action_l = np.array([-0.0,0.1,0.3, + 1.0,0.0,0.0,0.0]) + action_r = np.array([0.1,-0.1,0.1, + 1.0,0.0,0.0,0.0]) + action_gripper = np.array([1.0,-0.3]) + action = np.hstack((action_l,action_r,action_gripper)) + return action + elif self.step_count > 1: + # print("\nobs=\n",obs) + # print("\nobs[mocap_pose_right]\n",obs['mocap_pose_right']) + if self.left_trajectory[0]['t'] == self.step_count: + self.curr_left_waypoint = self.left_trajectory.pop(0) + next_left_waypoint = self.left_trajectory[0] + + if self.right_trajectory[0]['t'] == self.step_count: + self.curr_right_waypoint = self.right_trajectory.pop(0) + next_right_waypoint = self.right_trajectory[0] + + # Inject noise + if self.inject_noise: + scale = 0.01 + left_xyz = left_xyz + np.random.uniform(-scale, scale, left_xyz.shape) + right_xyz = right_xyz + np.random.uniform(-scale, scale, right_xyz.shape) + + # interpolate between waypoints to obtain current pose and gripper command + left_xyz, left_quat, left_gripper = self.interpolate(self.curr_left_waypoint, next_left_waypoint, self.step_count) + right_xyz, right_quat, right_gripper = self.interpolate(self.curr_right_waypoint, next_right_waypoint, self.step_count) + action_gripper = np.array([left_gripper,right_gripper]) + action_left = np.concatenate([left_xyz, left_quat]) + action_right = np.concatenate([right_xyz, right_quat]) + self.step_count += 1 + # if self.left_trajectory[0]['t'] == 2: + # print("2 2 2") + # elif self.left_trajectory[0]['t'] == 300: + # print("300 300 300") + + # elif self.left_trajectory[0]['t'] == 625: + # print("625 625 625") + + # elif self.left_trajectory[0]['t'] == 850: + # print("850") + # elif self.left_trajectory[0]['t'] == 1013: + # print("1013") + # elif self.left_trajectory[0]['t'] == 1250: + # print("1250") + # else: + # print("1500") + return np.hstack([action_left, action_right,action_gripper]) + + + else: + raise AttributeError + + + + + + + + + +class TestInsertionPolicy(PolicyBase): + def generate_trajectory(self, obs): + + init_mocap_pose_right = obs['mocap_pose_right'] + init_mocap_pose_left = obs['mocap_pose_left'] + peg_info = np.array(obs['env_state'])[:3] #change here + peg_xyz = peg_info[:3] + # peg_quat = np.array([1.0,0.0,0.0,0.0]) + + socket_info = np.array(obs['env_state'])[3:] #change here + # print("socket_info==",socket_info) + socket_xyz = socket_info[:3] + # socket_quat = np.array([1.0,0.0,0.0,0.0]) + + gripper_pick_quat_right = Quaternion(init_mocap_pose_right[3:]) + gripper_pick_quat_right = gripper_pick_quat_right * Quaternion(axis=[0.0, 1.0, 0.0], degrees=-60) + + gripper_pick_quat_left = Quaternion(init_mocap_pose_right[3:]) + gripper_pick_quat_left = gripper_pick_quat_left * Quaternion(axis=[0.0, 1.0, 0.0], degrees=60) + + meet_xyz = np.array([0, 0.5, 0.15]) + lift_right = 0.00715 + # self.left_trajectory = [ + # {"t": 1, "xyz": init_mocap_pose_left[:3], "quat": init_mocap_pose_left[3:], "gripper": 0}, # sleep + # {"t": 120, "xyz": socket_xyz + np.array([0, 0, 0.08]), "quat": gripper_pick_quat_left.elements, "gripper": 1}, # approach the cube + # {"t": 170, "xyz": socket_xyz + np.array([0, 0, -0.03]), "quat": gripper_pick_quat_left.elements, "gripper": 1}, # go down + # {"t": 220, "xyz": socket_xyz + np.array([0, 0, -0.03]), "quat": gripper_pick_quat_left.elements, "gripper": 0}, # close gripper + # {"t": 285, "xyz": meet_xyz + np.array([-0.1, 0, 0]), "quat": gripper_pick_quat_left.elements, "gripper": 0}, # approach meet position + # {"t": 340, "xyz": meet_xyz + np.array([-0.05, 0, 0]), "quat": gripper_pick_quat_left.elements,"gripper": 0}, # insertion + # {"t": 400, "xyz": meet_xyz + np.array([-0.05, 0, 0]), "quat": gripper_pick_quat_left.elements, "gripper": 0}, # insertion + # ] + + # print("\ngripper_pick_quat_left=\n",gripper_pick_quat_left) + # print("\nsocket_xyz=\n",socket_xyz) + self.left_trajectory = [ + {"t": 2, "xyz": init_mocap_pose_left[:3], "quat": init_mocap_pose_left[3:], "gripper": 0}, # sleep + {"t": 450, "xyz": socket_xyz + np.array([0, 0, 0.08]), "quat": gripper_pick_quat_left.elements, "gripper": 1}, # approach the cube + {"t": 725, "xyz": socket_xyz + np.array([0, 0, -0.03]), "quat": gripper_pick_quat_left.elements, "gripper": 1}, # go down + {"t": 1050, "xyz": socket_xyz + np.array([0, 0, -0.03]), "quat": gripper_pick_quat_left.elements, "gripper": -0.1}, # close gripper + {"t": 1413, "xyz": meet_xyz + np.array([-0.1, 0, 0]), "quat": gripper_pick_quat_left.elements, "gripper": -0.1}, # approach meet position + {"t": 1750, "xyz": meet_xyz + np.array([-0.05, 0, 0]), "quat": gripper_pick_quat_left.elements,"gripper": -0.1}, # insertion + {"t": 1950, "xyz": meet_xyz + np.array([-0.05, 0, 0]), "quat": gripper_pick_quat_left.elements, "gripper": -0.1}, # insertion + ] + + self.right_trajectory = [ + {"t": 2, "xyz": init_mocap_pose_right[:3], "quat": init_mocap_pose_right[3:], "gripper": 0}, # sleep + {"t": 450, "xyz": peg_xyz + np.array([0, 0, 0.08]), "quat": gripper_pick_quat_right.elements, "gripper": 1}, # approach the cube + {"t": 725, "xyz": peg_xyz + np.array([0, 0, -0.03]), "quat": gripper_pick_quat_right.elements, "gripper": 1}, # go down + {"t": 1050, "xyz": peg_xyz + np.array([0, 0, -0.03]), "quat": gripper_pick_quat_right.elements, "gripper": -0.3}, # close gripper + {"t": 1413, "xyz": meet_xyz + np.array([0.1, 0, lift_right+0.01]), "quat": gripper_pick_quat_right.elements, "gripper": -0.3}, # approach meet position + {"t": 1750, "xyz": meet_xyz + np.array([0.05, 0, lift_right+0.01]), "quat": gripper_pick_quat_right.elements, "gripper": -0.3}, # insertion + {"t": 1950, "xyz": meet_xyz + np.array([0.05, 0, lift_right+0.01]), "quat": gripper_pick_quat_right.elements, "gripper": -0.3}, # insertion + + ] + + +class PickAndTransferPolicy(PolicyBase): + + def generate_trajectory(self, obs): + init_mocap_pose_right = obs['mocap_pose_right'] + init_mocap_pose_left = obs['mocap_pose_left'] + + box_info = np.array(obs['env_state']) + box_xyz = box_info[:3] + box_quat = box_info[3:] + # print(f"Generate trajectory for {box_xyz=}") + + gripper_pick_quat = Quaternion(init_mocap_pose_right[3:]) + gripper_pick_quat = gripper_pick_quat * Quaternion(axis=[0.0, 1.0, 0.0], degrees=-60) + + meet_left_quat = Quaternion(axis=[1.0, 0.0, 0.0], degrees=90) + + meet_xyz = np.array([0, 0.5, 0.25]) + + self.left_trajectory = [ + {"t": 0, "xyz": init_mocap_pose_left[:3], "quat": init_mocap_pose_left[3:], "gripper": 0}, # sleep + {"t": 100, "xyz": meet_xyz + np.array([-0.1, 0, -0.02]), "quat": meet_left_quat.elements, "gripper": 1}, # approach meet position + {"t": 260, "xyz": meet_xyz + np.array([0.02, 0, -0.02]), "quat": meet_left_quat.elements, "gripper": 1}, # move to meet position + {"t": 310, "xyz": meet_xyz + np.array([0.02, 0, -0.02]), "quat": meet_left_quat.elements, "gripper": 0}, # close gripper + {"t": 360, "xyz": meet_xyz + np.array([-0.1, 0, -0.02]), "quat": np.array([1, 0, 0, 0]), "gripper": 0}, # move left + {"t": 400, "xyz": meet_xyz + np.array([-0.1, 0, -0.02]), "quat": np.array([1, 0, 0, 0]), "gripper": 0}, # stay + ] + + self.right_trajectory = [ + {"t": 0, "xyz": init_mocap_pose_right[:3], "quat": init_mocap_pose_right[3:], "gripper": 0}, # sleep + {"t": 90, "xyz": box_xyz + np.array([0, 0, 0.08]), "quat": gripper_pick_quat.elements, "gripper": 1}, # approach the cube + {"t": 130, "xyz": box_xyz + np.array([0, 0, -0.015]), "quat": gripper_pick_quat.elements, "gripper": 1}, # go down + {"t": 170, "xyz": box_xyz + np.array([0, 0, -0.015]), "quat": gripper_pick_quat.elements, "gripper": 0}, # close gripper + {"t": 200, "xyz": meet_xyz + np.array([0.05, 0, 0]), "quat": gripper_pick_quat.elements, "gripper": 0}, # approach meet position + {"t": 220, "xyz": meet_xyz, "quat": gripper_pick_quat.elements, "gripper": 0}, # move to meet position + {"t": 310, "xyz": meet_xyz, "quat": gripper_pick_quat.elements, "gripper": 1}, # open gripper + {"t": 360, "xyz": meet_xyz + np.array([0.1, 0, 0]), "quat": gripper_pick_quat.elements, "gripper": 1}, # move to right + {"t": 400, "xyz": meet_xyz + np.array([0.1, 0, 0]), "quat": gripper_pick_quat.elements, "gripper": 1}, # stay + ] + + +class InsertionPolicy(PolicyBase): + + def generate_trajectory(self, obs): + init_mocap_pose_right = obs['mocap_pose_right'] + init_mocap_pose_left = obs['mocap_pose_left'] + + peg_info = np.array(obs['env_state'])[:7] + peg_xyz = peg_info[:3] + peg_quat = peg_info[3:] + + socket_info = np.array(obs['env_state'])[7:] + socket_xyz = socket_info[:3] + socket_quat = socket_info[3:] + + gripper_pick_quat_right = Quaternion(init_mocap_pose_right[3:]) + gripper_pick_quat_right = gripper_pick_quat_right * Quaternion(axis=[0.0, 1.0, 0.0], degrees=-60) + + gripper_pick_quat_left = Quaternion(init_mocap_pose_right[3:]) + gripper_pick_quat_left = gripper_pick_quat_left * Quaternion(axis=[0.0, 1.0, 0.0], degrees=60) + + meet_xyz = np.array([0, 0.5, 0.15]) + lift_right = 0.00715 + + self.left_trajectory = [ + {"t": 0, "xyz": init_mocap_pose_left[:3], "quat": init_mocap_pose_left[3:], "gripper": 0}, # sleep + {"t": 120, "xyz": socket_xyz + np.array([0, 0, 0.08]), "quat": gripper_pick_quat_left.elements, "gripper": 1}, # approach the cube + {"t": 170, "xyz": socket_xyz + np.array([0, 0, -0.03]), "quat": gripper_pick_quat_left.elements, "gripper": 1}, # go down + {"t": 220, "xyz": socket_xyz + np.array([0, 0, -0.03]), "quat": gripper_pick_quat_left.elements, "gripper": 0}, # close gripper + {"t": 285, "xyz": meet_xyz + np.array([-0.1, 0, 0]), "quat": gripper_pick_quat_left.elements, "gripper": 0}, # approach meet position + {"t": 340, "xyz": meet_xyz + np.array([-0.05, 0, 0]), "quat": gripper_pick_quat_left.elements,"gripper": 0}, # insertion + {"t": 400, "xyz": meet_xyz + np.array([-0.05, 0, 0]), "quat": gripper_pick_quat_left.elements, "gripper": 0}, # insertion + ] + + self.right_trajectory = [ + {"t": 0, "xyz": init_mocap_pose_right[:3], "quat": init_mocap_pose_right[3:], "gripper": 0}, # sleep + {"t": 120, "xyz": peg_xyz + np.array([0, 0, 0.08]), "quat": gripper_pick_quat_right.elements, "gripper": 1}, # approach the cube + {"t": 170, "xyz": peg_xyz + np.array([0, 0, -0.03]), "quat": gripper_pick_quat_right.elements, "gripper": 1}, # go down + {"t": 220, "xyz": peg_xyz + np.array([0, 0, -0.03]), "quat": gripper_pick_quat_right.elements, "gripper": 0}, # close gripper + {"t": 285, "xyz": meet_xyz + np.array([0.1, 0, lift_right]), "quat": gripper_pick_quat_right.elements, "gripper": 0}, # approach meet position + {"t": 340, "xyz": meet_xyz + np.array([0.05, 0, lift_right]), "quat": gripper_pick_quat_right.elements, "gripper": 0}, # insertion + {"t": 400, "xyz": meet_xyz + np.array([0.05, 0, lift_right]), "quat": gripper_pick_quat_right.elements, "gripper": 0}, # insertion + + ] \ No newline at end of file diff --git a/roboimi/demos/training.py b/roboimi/demos/training.py new file mode 100644 index 0000000..858960b --- /dev/null +++ b/roboimi/demos/training.py @@ -0,0 +1,179 @@ +import torch +import os +from tqdm import tqdm +import numpy as np +from copy import deepcopy +from itertools import repeat +import matplotlib.pyplot as plt +import time +from roboimi.utils.utils import set_seed, compute_dict_mean, detach_dict, load_data +from roboimi.utils.io_utils import IOUtils +from roboimi.utils.model_interface import ModelInterface +import matplotlib.pyplot as plt + +def train_bc(config): + num_epochs = config['num_epochs'] + ckpt_dir = config['ckpt_dir'] + seed = config['seed'] + + os.makedirs(ckpt_dir, exist_ok=True) + + set_seed(seed) + + model_interface = ModelInterface(config) + model_interface.setup() + + policy = model_interface.make_policy() + policy.cuda() + optimizer = model_interface.make_optimizer(policy) + # print("cam names=====",config['camera_names']) + train_dataloader, val_dataloader, stats, _ = load_data( + config['dataset_dir'], + config['num_episodes'], + config['camera_names'], + config['batch_size'], + config['batch_size']) + + IOUtils.save_stats(ckpt_dir, stats) + + train_history = [] + validation_history = [] + min_val_loss = np.inf + min_train_loss = np.inf + best_ckpt_info = None + + plt.ion() + fig, ax = plt.subplots() + train_losses, val_losses = [], [] + train_line, = ax.plot([], [], label='Train Loss') + val_line, = ax.plot([], [], label='Validation Loss') + ax.autoscale_view() + ax.set_xlabel('Epoch') + ax.set_ylabel('Loss') + ax.legend() + ax.grid(True) + + + train_annotation = ax.annotate('', xy=(0, 0), textcoords='offset points') + val_annotation = ax.annotate('', xy=(0, 0), textcoords='offset points') + + + min_train_text = ax.text(0.85, 0.5, '', transform=ax.transAxes, fontsize=10, verticalalignment='center', horizontalalignment='left', bbox=dict(facecolor='white', alpha=0.5)) + min_val_text = ax.text(0.85, 0.45, '', transform=ax.transAxes, fontsize=10, verticalalignment='center', horizontalalignment='left', bbox=dict(facecolor='white', alpha=0.5)) + + for epoch in tqdm(range(num_epochs)): + print(f'\nEpoch {epoch}') + + # Validation + epoch_val_loss, epoch_summary = validate(policy, val_dataloader) + validation_history.append(epoch_summary) + val_losses.append(epoch_val_loss.cpu().item()) + + if epoch_val_loss < min_val_loss: + min_val_loss = epoch_val_loss + min_val_epoch = epoch + best_ckpt_info = (epoch, min_val_loss, + deepcopy(policy.state_dict())) + + print(f'Val loss: {epoch_val_loss:.5f}') + print_summary(epoch_summary) + + # Training + epoch_train_loss, epoch_summary = train_epoch( + policy, optimizer, train_dataloader) + train_history.append(epoch_summary) + train_losses.append(epoch_train_loss.cpu().item()) + + if epoch_train_loss < min_train_loss: + min_train_loss = epoch_train_loss + min_train_epoch = epoch + + print(f'Train loss: {epoch_train_loss:.5f}') + print_summary(epoch_summary) + + # Update the plot with the new data + train_line.set_xdata(range(len(train_losses))) + train_line.set_ydata(train_losses) + val_line.set_xdata(range(len(val_losses))) + val_line.set_ydata(val_losses) + + # Update annotations with the latest loss values at their respective positions + train_annotation.set_position((len(train_losses)-1, train_losses[-1])) + train_annotation.xy = (len(train_losses)-1, train_losses[-1]) + train_annotation.set_text(f'{train_losses[-1]:.5f}') + + val_annotation.set_position((len(val_losses)-1, val_losses[-1])) + val_annotation.xy = (len(val_losses)-1, val_losses[-1]) + val_annotation.set_text(f'{val_losses[-1]:.5f}') + + # Update text objects with the minimum loss values, fixed on the right side + min_train_text.set_text(f'Min Train Loss: {min_train_loss:.5f} (Epoch {min_train_epoch})') + min_val_text.set_text(f'Min Val Loss: {min_val_loss:.5f} (Epoch {min_val_epoch})') + + ax.relim() + ax.autoscale_view() + plt.draw() + plt.pause(0.1) + + + plt.ioff() + IOUtils.save_checkpoint(policy, 'last', ckpt_dir, seed, 'last') + + best_epoch, min_val_loss, best_state_dict = best_ckpt_info + IOUtils.save_checkpoint(best_state_dict, best_epoch, + ckpt_dir, seed, 'best', min_val_loss) + print( + f'Training finished:\nSeed {seed}, val loss {min_val_loss:.6f} at epoch {best_epoch}') + + IOUtils.plot_history(train_history, validation_history, + num_epochs, ckpt_dir, seed) + + return best_ckpt_info + + + + + + +def validate(policy, dataloader): + policy.eval() + epoch_dicts = [] + with torch.inference_mode(): + for data in dataloader: + forward_dict = forward_pass(data, policy) + epoch_dicts.append(forward_dict) + epoch_summary = compute_dict_mean(epoch_dicts) + return epoch_summary['loss'], epoch_summary + + +def train_epoch(policy, optimizer, dataloader): + policy.train() + epoch_dicts = [] + for data in dataloader: + optimizer.zero_grad() + forward_dict = forward_pass(data, policy) + loss = forward_dict['loss'] + loss.backward() + optimizer.step() + epoch_dicts.append(detach_dict(forward_dict)) + epoch_summary = compute_dict_mean(epoch_dicts) + return epoch_summary['loss'], epoch_summary + + +def forward_pass(data, policy): + image_data, qpos_data, action_data, is_pad = data + image_data, qpos_data, action_data, is_pad = image_data.cuda( + ), qpos_data.cuda(), action_data.cuda(), is_pad.cuda() + return policy(qpos_data, image_data, action_data, is_pad) + + +def print_summary(summary): + summary_string = ' '.join( + [f'{k}: {v.item():.3f}' for k, v in summary.items()]) + print(summary_string) + + +if __name__ == '__main__': + io_utils = IOUtils() + config = io_utils.load_config() + train_bc(config) diff --git a/roboimi/detr/LICENSE b/roboimi/detr/LICENSE new file mode 100644 index 0000000..b1395e9 --- /dev/null +++ b/roboimi/detr/LICENSE @@ -0,0 +1,201 @@ + Apache License + Version 2.0, January 2004 + http://www.apache.org/licenses/ + + TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND 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We also recommend that a + file or class name and description of purpose be included on the + same "printed page" as the copyright notice for easier + identification within third-party archives. + + Copyright 2020 - present, Facebook, Inc + + Licensed under the Apache License, Version 2.0 (the "License"); + you may not use this file except in compliance with the License. + You may obtain a copy of the License at + + http://www.apache.org/licenses/LICENSE-2.0 + + Unless required by applicable law or agreed to in writing, software + distributed under the License is distributed on an "AS IS" BASIS, + WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + See the License for the specific language governing permissions and + limitations under the License. diff --git a/roboimi/detr/README.md b/roboimi/detr/README.md new file mode 100644 index 0000000..500b1b8 --- /dev/null +++ b/roboimi/detr/README.md @@ -0,0 +1,9 @@ +This part of the codebase is modified from DETR https://github.com/facebookresearch/detr under APACHE 2.0. + + @article{Carion2020EndtoEndOD, + title={End-to-End Object Detection with Transformers}, + author={Nicolas Carion and Francisco Massa and Gabriel Synnaeve and Nicolas Usunier and Alexander Kirillov and Sergey Zagoruyko}, + journal={ArXiv}, + year={2020}, + volume={abs/2005.12872} + } \ No newline at end of file diff --git a/roboimi/detr/main.py b/roboimi/detr/main.py new file mode 100644 index 0000000..4891049 --- /dev/null +++ b/roboimi/detr/main.py @@ -0,0 +1,106 @@ +# Copyright (c) Facebook, Inc. and its affiliates. All Rights Reserved +import argparse +from pathlib import Path + +import numpy as np +import torch +from .models import build_ACT_model, build_CNNMLP_model + + +def get_args_parser(): + parser = argparse.ArgumentParser('Set transformer detector', add_help=False) + parser.add_argument('--lr', default=1e-4, type=float) # will be overridden + parser.add_argument('--lr_backbone', default=1e-5, type=float) # will be overridden + parser.add_argument('--batch_size', default=2, type=int) # not used + parser.add_argument('--weight_decay', default=1e-4, type=float) + parser.add_argument('--epochs', default=300, type=int) # not used + parser.add_argument('--lr_drop', default=200, type=int) # not used + parser.add_argument('--clip_max_norm', default=0.1, type=float, # not used + help='gradient clipping max norm') + parser.add_argument('--qpos_noise_std', action='store', default=0, type=float, help='lr', required=False) + + # Model parameters + # * Backbone + parser.add_argument('--backbone', default='resnet18', type=str, # will be overridden + help="Name of the convolutional backbone to use") + parser.add_argument('--dilation', action='store_true', + help="If true, we replace stride with dilation in the last convolutional block (DC5)") + parser.add_argument('--position_embedding', default='sine', type=str, choices=('sine', 'learned'), + help="Type of positional embedding to use on top of the image features") + parser.add_argument('--camera_names', default=[], type=list, # will be overridden + help="A list of camera names") + + # * Transformer + parser.add_argument('--enc_layers', default=4, type=int, # will be overridden + help="Number of encoding layers in the transformer") + parser.add_argument('--dec_layers', default=6, type=int, # will be overridden + help="Number of decoding layers in the transformer") + parser.add_argument('--dim_feedforward', default=2048, type=int, # will be overridden + help="Intermediate size of the feedforward layers in the transformer blocks") + parser.add_argument('--hidden_dim', default=256, type=int, # will be overridden + help="Size of the embeddings (dimension of the transformer)") + parser.add_argument('--dropout', default=0.1, type=float, + help="Dropout applied in the transformer") + parser.add_argument('--nheads', default=8, type=int, # will be overridden + help="Number of attention heads inside the transformer's attentions") + parser.add_argument('--num_queries', default=400, type=int, # will be overridden + help="Number of query slots") + parser.add_argument('--pre_norm', action='store_true') + parser.add_argument('--state_dim', default=14, type=int) + parser.add_argument('--action_dim', default=14, type=int) + + + # * Segmentation + parser.add_argument('--masks', action='store_true', + help="Train segmentation head if the flag is provided") + + + + return parser + + +def build_ACT_model_and_optimizer(args_override): + parser = argparse.ArgumentParser('DETR training and evaluation script', parents=[get_args_parser()]) + args = parser.parse_args() + + for k, v in args_override.items(): + setattr(args, k, v) + + model = build_ACT_model(args) + model.cuda() + + param_dicts = [ + {"params": [p for n, p in model.named_parameters() if "backbone" not in n and p.requires_grad]}, + { + "params": [p for n, p in model.named_parameters() if "backbone" in n and p.requires_grad], + "lr": args.lr_backbone, + }, + ] + optimizer = torch.optim.AdamW(param_dicts, lr=args.lr, + weight_decay=args.weight_decay) + + return model, optimizer + + +def build_CNNMLP_model_and_optimizer(args_override): + parser = argparse.ArgumentParser('DETR training and evaluation script', parents=[get_args_parser()]) + args = parser.parse_args() + + for k, v in args_override.items(): + setattr(args, k, v) + + model = build_CNNMLP_model(args) + model.cuda() + + param_dicts = [ + {"params": [p for n, p in model.named_parameters() if "backbone" not in n and p.requires_grad]}, + { + "params": [p for n, p in model.named_parameters() if "backbone" in n and p.requires_grad], + "lr": args.lr_backbone, + }, + ] + optimizer = torch.optim.AdamW(param_dicts, lr=args.lr, + weight_decay=args.weight_decay) + + return model, optimizer + diff --git a/roboimi/detr/models/__init__.py b/roboimi/detr/models/__init__.py new file mode 100644 index 0000000..cc78db1 --- /dev/null +++ b/roboimi/detr/models/__init__.py @@ -0,0 +1,9 @@ +# Copyright (c) Facebook, Inc. and its affiliates. All Rights Reserved +from .detr_vae import build as build_vae +from .detr_vae import build_cnnmlp as build_cnnmlp + +def build_ACT_model(args): + return build_vae(args) + +def build_CNNMLP_model(args): + return build_cnnmlp(args) \ No newline at end of file diff --git a/roboimi/detr/models/backbone.py b/roboimi/detr/models/backbone.py new file mode 100644 index 0000000..759bfb5 --- /dev/null +++ b/roboimi/detr/models/backbone.py @@ -0,0 +1,168 @@ +# Copyright (c) Facebook, Inc. and its affiliates. All Rights Reserved +""" +Backbone modules. +""" +from collections import OrderedDict + +import torch +import torch.nn.functional as F +import torchvision +from torch import nn +from torchvision.models._utils import IntermediateLayerGetter +from typing import Dict, List + +from util.misc import NestedTensor, is_main_process + +from .position_encoding import build_position_encoding + +class FrozenBatchNorm2d(torch.nn.Module): + """ + BatchNorm2d where the batch statistics and the affine parameters are fixed. + + Copy-paste from torchvision.misc.ops with added eps before rqsrt, + without which any other policy_models than torchvision.policy_models.resnet[18,34,50,101] + produce nans. + """ + + def __init__(self, n): + super(FrozenBatchNorm2d, self).__init__() + self.register_buffer("weight", torch.ones(n)) + self.register_buffer("bias", torch.zeros(n)) + self.register_buffer("running_mean", torch.zeros(n)) + self.register_buffer("running_var", torch.ones(n)) + + def _load_from_state_dict(self, state_dict, prefix, local_metadata, strict, + missing_keys, unexpected_keys, error_msgs): + num_batches_tracked_key = prefix + 'num_batches_tracked' + if num_batches_tracked_key in state_dict: + del state_dict[num_batches_tracked_key] + + super(FrozenBatchNorm2d, self)._load_from_state_dict( + state_dict, prefix, local_metadata, strict, + missing_keys, unexpected_keys, error_msgs) + + def forward(self, x): + # move reshapes to the beginning + # to make it fuser-friendly + w = self.weight.reshape(1, -1, 1, 1) + b = self.bias.reshape(1, -1, 1, 1) + rv = self.running_var.reshape(1, -1, 1, 1) + rm = self.running_mean.reshape(1, -1, 1, 1) + eps = 1e-5 + scale = w * (rv + eps).rsqrt() + bias = b - rm * scale + return x * scale + bias + + +class BackboneBase(nn.Module): + + def __init__(self, backbone: nn.Module, train_backbone: bool, num_channels: int, return_interm_layers: bool): + super().__init__() + # for name, parameter in backbone.named_parameters(): # only train later layers # TODO do we want this? + # if not train_backbone or 'layer2' not in name and 'layer3' not in name and 'layer4' not in name: + # parameter.requires_grad_(False) + if return_interm_layers: + return_layers = {"layer1": "0", "layer2": "1", "layer3": "2", "layer4": "3"} + else: + return_layers = {'layer4': "0"} + self.body = IntermediateLayerGetter(backbone, return_layers=return_layers) + self.num_channels = num_channels + + def forward(self, tensor): + xs = self.body(tensor) + return xs + # out: Dict[str, NestedTensor] = {} + # for name, x in xs.items(): + # m = tensor_list.mask + # assert m is not None + # mask = F.interpolate(m[None].float(), size=x.shape[-2:]).to(torch.bool)[0] + # out[name] = NestedTensor(x, mask) + # return out + + +class Backbone(BackboneBase): + """ResNet backbone with frozen BatchNorm.""" + def __init__(self, name: str, + train_backbone: bool, + return_interm_layers: bool, + dilation: bool): + backbone = getattr(torchvision.models, name)( + replace_stride_with_dilation=[False, False, dilation], + pretrained=is_main_process(), norm_layer=FrozenBatchNorm2d) # pretrained # TODO do we want frozen batch_norm?? + num_channels = 512 if name in ('resnet18', 'resnet34') else 2048 + super().__init__(backbone, train_backbone, num_channels, return_interm_layers) + + +# class DINOv2BackBone(nn.Module): +# def __init__(self) -> None: +# super().__init__() +# self.body = torch.hub.load('facebookresearch/dinov2', 'dinov2_vits14') +# self.body.eval() +# self.num_channels = 384 + +# @torch.no_grad() +# def forward(self, tensor): +# xs = self.body.forward_features(tensor)["x_norm_patchtokens"] +# od = OrderedDict() +# od["0"] = xs.reshape(xs.shape[0], 22, 16, 384).permute(0, 3, 2, 1) +# return od + +class DINOv2BackBone(nn.Module): + def __init__(self, return_interm_layers: bool = False) -> None: + super().__init__() + self.body = torch.hub.load('facebookresearch/dinov2', 'dinov2_vits14') + self.body.eval() + self.num_channels = 384 + self.return_interm_layers = return_interm_layers + + @torch.no_grad() + def forward(self, tensor): + features = self.body.forward_features(tensor) + + if self.return_interm_layers: + + layer1 = features["x_norm_patchtokens"] + layer2 = features["x_norm_patchtokens"] + layer3 = features["x_norm_patchtokens"] + layer4 = features["x_norm_patchtokens"] + + od = OrderedDict() + od["0"] = layer1.reshape(layer1.shape[0], 22, 16, 384).permute(0, 3, 2, 1) + od["1"] = layer2.reshape(layer2.shape[0], 22, 16, 384).permute(0, 3, 2, 1) + od["2"] = layer3.reshape(layer3.shape[0], 22, 16, 384).permute(0, 3, 2, 1) + od["3"] = layer4.reshape(layer4.shape[0], 22, 16, 384).permute(0, 3, 2, 1) + return od + else: + xs = features["x_norm_patchtokens"] + od = OrderedDict() + od["0"] = xs.reshape(xs.shape[0], 22, 16, 384).permute(0, 3, 2, 1) + return od + +class Joiner(nn.Sequential): + def __init__(self, backbone, position_embedding): + super().__init__(backbone, position_embedding) + + def forward(self, tensor_list: NestedTensor): + xs = self[0](tensor_list) + out: List[NestedTensor] = [] + pos = [] + for name, x in xs.items(): + out.append(x) + # position encoding + pos.append(self[1](x).to(x.dtype)) + + return out, pos + + +def build_backbone(args): + position_embedding = build_position_encoding(args) + train_backbone = args.lr_backbone > 0 + return_interm_layers = args.masks + if args.backbone == 'dino_v2': + backbone = DINOv2BackBone() + else: + assert args.backbone in ['resnet18', 'resnet34'] + backbone = Backbone(args.backbone, train_backbone, return_interm_layers, args.dilation) + model = Joiner(backbone, position_embedding) + model.num_channels = backbone.num_channels + return model diff --git a/roboimi/detr/models/detr_vae.py b/roboimi/detr/models/detr_vae.py new file mode 100644 index 0000000..afcdc5d --- /dev/null +++ b/roboimi/detr/models/detr_vae.py @@ -0,0 +1,300 @@ +# Copyright (c) Facebook, Inc. and its affiliates. All Rights Reserved +""" +DETR model and criterion classes. +""" +import torch +from torch import nn +from torch.autograd import Variable +from .backbone import build_backbone +from .transformer import build_transformer, TransformerEncoder, TransformerEncoderLayer + +import numpy as np + + +def reparametrize(mu, logvar): + std = logvar.div(2).exp() + eps = Variable(std.data.new(std.size()).normal_()) + return mu + std * eps + + +def get_sinusoid_encoding_table(n_position, d_hid): + def get_position_angle_vec(position): + return [position / np.power(10000, 2 * (hid_j // 2) / d_hid) for hid_j in range(d_hid)] + + sinusoid_table = np.array([get_position_angle_vec(pos_i) for pos_i in range(n_position)]) + sinusoid_table[:, 0::2] = np.sin(sinusoid_table[:, 0::2]) # dim 2i + sinusoid_table[:, 1::2] = np.cos(sinusoid_table[:, 1::2]) # dim 2i+1 + + return torch.FloatTensor(sinusoid_table).unsqueeze(0) + + +class DETRVAE(nn.Module): + """ This is the DETR module that performs object detection """ + def __init__(self, backbones, transformer, encoder, state_dim, action_dim, num_queries, camera_names): + """ Initializes the model. + Parameters: + backbones: torch module of the backbone to be used. See backbone.py + transformer: torch module of the transformer architecture. See transformer.py + state_dim: robot state dimension of the environment + num_queries: number of object queries, ie detection slot. This is the maximal number of objects + DETR can detect in a single image. For COCO, we recommend 100 queries. + aux_loss: True if auxiliary decoding losses (loss at each decoder layer) are to be used. + """ + super().__init__() + self.num_queries = num_queries + self.camera_names = camera_names + self.transformer = transformer + self.encoder = encoder + hidden_dim = transformer.d_model + self.action_head = nn.Linear(hidden_dim, action_dim) + self.is_pad_head = nn.Linear(hidden_dim, 1) + self.query_embed = nn.Embedding(num_queries, hidden_dim) + if backbones is not None: + self.input_proj = nn.Conv2d(backbones[0].num_channels, hidden_dim, kernel_size=1) + self.backbones = nn.ModuleList(backbones) + self.input_proj_robot_state = nn.Linear(state_dim, hidden_dim) + else: + raise NotImplementedError + # input_dim = 14 + 7 # robot_state + env_state + # self.input_proj_robot_state = nn.Linear(state_dim, hidden_dim) + # self.input_proj_env_state = nn.Linear(7, hidden_dim) + # self.pos = torch.nn.Embedding(2, hidden_dim) + # self.backbones = None + + # encoder extra parameters + self.latent_dim = 32 # final size of latent z # TODO tune + self.cls_embed = nn.Embedding(1, hidden_dim) # extra cls token embedding + self.encoder_action_proj = nn.Linear(action_dim, hidden_dim) # project action to embedding + self.encoder_joint_proj = nn.Linear(state_dim, hidden_dim) # project qpos to embedding + self.latent_proj = nn.Linear(hidden_dim, self.latent_dim*2) # project hidden state to latent std, var + self.register_buffer('pos_table', get_sinusoid_encoding_table(1+1+num_queries, hidden_dim)) # [CLS], qpos, a_seq + + # decoder extra parameters + self.latent_out_proj = nn.Linear(self.latent_dim, hidden_dim) # project latent sample to embedding + self.additional_pos_embed = nn.Embedding(2, hidden_dim) # learned position embedding for proprio and latent + + def forward(self, qpos, image, env_state, actions=None, is_pad=None): + """ + qpos: batch, qpos_dim + image: batch, num_cam, channel, height, width + env_state: None + actions: batch, seq, action_dim + """ + is_training = actions is not None # train or val + bs, _ = qpos.shape + ### Obtain latent z from action sequence + if is_training: + # project action sequence to embedding dim, and concat with a CLS token + action_embed = self.encoder_action_proj(actions) # (bs, seq, hidden_dim) + qpos_embed = self.encoder_joint_proj(qpos) # (bs, hidden_dim) + qpos_embed = torch.unsqueeze(qpos_embed, axis=1) # (bs, 1, hidden_dim) + cls_embed = self.cls_embed.weight # (1, hidden_dim) + cls_embed = torch.unsqueeze(cls_embed, axis=0).repeat(bs, 1, 1) # (bs, 1, hidden_dim) + encoder_input = torch.cat([cls_embed, qpos_embed, action_embed], axis=1) # (bs, seq+1, hidden_dim) + encoder_input = encoder_input.permute(1, 0, 2) # (seq+1, bs, hidden_dim) + # do not mask cls token + cls_joint_is_pad = torch.full((bs, 2), False).to(qpos.device) # False: not a padding + is_pad = torch.cat([cls_joint_is_pad, is_pad], axis=1) # (bs, seq+1) + # obtain position embedding + pos_embed = self.pos_table.clone().detach() + pos_embed = pos_embed.permute(1, 0, 2) # (seq+1, 1, hidden_dim) + # query model + encoder_output = self.encoder(encoder_input, pos=pos_embed, src_key_padding_mask=is_pad) + encoder_output = encoder_output[0] # take cls output only + latent_info = self.latent_proj(encoder_output) + mu = latent_info[:, :self.latent_dim] + logvar = latent_info[:, self.latent_dim:] + latent_sample = reparametrize(mu, logvar) + latent_input = self.latent_out_proj(latent_sample) + else: + mu = logvar = None + latent_sample = torch.zeros([bs, self.latent_dim], dtype=torch.float32).to(qpos.device) + latent_input = self.latent_out_proj(latent_sample) + + if self.backbones is not None: + # Image observation features and position embeddings + all_cam_features = [] + all_cam_pos = [] + + + + + # print(f"Image shape: {image.shape}, Number of cameras: {len(self.camera_names)}") + + + for cam_id, cam_name in enumerate(self.camera_names): + # features, pos = self.backbones[0](image[:, cam_id]) # HARDCODED + features, pos = self.backbones[cam_id](image[:, cam_id]) + features = features[0] # take the last layer feature + pos = pos[0] + all_cam_features.append(self.input_proj(features)) + all_cam_pos.append(pos) + + + + + + + + + + + + # proprioception features + proprio_input = self.input_proj_robot_state(qpos) + # fold camera dimension into width dimension + src = torch.cat(all_cam_features, axis=3) + pos = torch.cat(all_cam_pos, axis=3) + hs = self.transformer(src, None, self.query_embed.weight, pos, latent_input, proprio_input, self.additional_pos_embed.weight)[0] + else: + qpos = self.input_proj_robot_state(qpos) + env_state = self.input_proj_env_state(env_state) + transformer_input = torch.cat([qpos, env_state], axis=1) # seq length = 2 + hs = self.transformer(transformer_input, None, self.query_embed.weight, self.pos.weight)[0] + a_hat = self.action_head(hs) + is_pad_hat = self.is_pad_head(hs) + return a_hat, is_pad_hat, [mu, logvar] + + + +class CNNMLP(nn.Module): + def __init__(self, backbones, state_dim, camera_names): + """ Initializes the model. + Parameters: + backbones: torch module of the backbone to be used. See backbone.py + transformer: torch module of the transformer architecture. See transformer.py + state_dim: robot state dimension of the environment + num_queries: number of object queries, ie detection slot. This is the maximal number of objects + DETR can detect in a single image. For COCO, we recommend 100 queries. + aux_loss: True if auxiliary decoding losses (loss at each decoder layer) are to be used. + """ + super().__init__() + self.camera_names = camera_names + self.action_head = nn.Linear(1000, state_dim) # TODO add more + if backbones is not None: + self.backbones = nn.ModuleList(backbones) + backbone_down_projs = [] + for backbone in backbones: + down_proj = nn.Sequential( + nn.Conv2d(backbone.num_channels, 128, kernel_size=5), + nn.Conv2d(128, 64, kernel_size=5), + nn.Conv2d(64, 32, kernel_size=5) + ) + backbone_down_projs.append(down_proj) + self.backbone_down_projs = nn.ModuleList(backbone_down_projs) + + mlp_in_dim = 768 * len(backbones) + 14 + self.mlp = mlp(input_dim=mlp_in_dim, hidden_dim=1024, output_dim=14, hidden_depth=2) + else: + raise NotImplementedError + + def forward(self, qpos, image, env_state, actions=None): + """ + qpos: batch, qpos_dim + image: batch, num_cam, channel, height, width + env_state: None + actions: batch, seq, action_dim + """ + is_training = actions is not None # train or val + bs, _ = qpos.shape + # Image observation features and position embeddings + all_cam_features = [] + for cam_id, cam_name in enumerate(self.camera_names): + features, pos = self.backbones[cam_id](image[:, cam_id]) + features = features[0] # take the last layer feature + pos = pos[0] # not used + all_cam_features.append(self.backbone_down_projs[cam_id](features)) + # flatten everything + flattened_features = [] + for cam_feature in all_cam_features: + flattened_features.append(cam_feature.reshape([bs, -1])) + flattened_features = torch.cat(flattened_features, axis=1) # 768 each + features = torch.cat([flattened_features, qpos], axis=1) # qpos: 14 + a_hat = self.mlp(features) + return a_hat + + +def mlp(input_dim, hidden_dim, output_dim, hidden_depth): + if hidden_depth == 0: + mods = [nn.Linear(input_dim, output_dim)] + else: + mods = [nn.Linear(input_dim, hidden_dim), nn.ReLU(inplace=True)] + for i in range(hidden_depth - 1): + mods += [nn.Linear(hidden_dim, hidden_dim), nn.ReLU(inplace=True)] + mods.append(nn.Linear(hidden_dim, output_dim)) + trunk = nn.Sequential(*mods) + return trunk + + +def build_encoder(args): + d_model = args.hidden_dim # 256 + dropout = args.dropout # 0.1 + nhead = args.nheads # 8 + dim_feedforward = args.dim_feedforward # 2048 + num_encoder_layers = args.enc_layers # 4 # TODO shared with VAE decoder + normalize_before = args.pre_norm # False + activation = "relu" + + encoder_layer = TransformerEncoderLayer(d_model, nhead, dim_feedforward, + dropout, activation, normalize_before) + encoder_norm = nn.LayerNorm(d_model) if normalize_before else None + encoder = TransformerEncoder(encoder_layer, num_encoder_layers, encoder_norm) + + return encoder + + +def build(args): + state_dim = args.state_dim + action_dim = args.action_dim + + # From state + # backbone = None # from state for now, no need for conv nets + # From image + backbones = [] + # backbone = build_backbone(args) + # backbones.append(backbone) + for _ in args.camera_names: + backbone = build_backbone(args) + backbones.append(backbone) + + transformer = build_transformer(args) + + encoder = build_encoder(args) + + model = DETRVAE( + backbones, + transformer, + encoder, + state_dim=state_dim, + action_dim=action_dim, + num_queries=args.num_queries, + camera_names=args.camera_names, + ) + + n_parameters = sum(p.numel() for p in model.parameters() if p.requires_grad) + print("number of parameters: %.2fM" % (n_parameters/1e6,)) + + return model + +def build_cnnmlp(args): + state_dim = 14 # TODO hardcode + + # From state + # backbone = None # from state for now, no need for conv nets + # From image + backbones = [] + for _ in args.camera_names: + backbone = build_backbone(args) + backbones.append(backbone) + + model = CNNMLP( + backbones, + state_dim=state_dim, + camera_names=args.camera_names, + ) + + n_parameters = sum(p.numel() for p in model.parameters() if p.requires_grad) + print("number of parameters: %.2fM" % (n_parameters/1e6,)) + + return model + diff --git a/roboimi/detr/models/position_encoding.py b/roboimi/detr/models/position_encoding.py new file mode 100644 index 0000000..c75733e --- /dev/null +++ b/roboimi/detr/models/position_encoding.py @@ -0,0 +1,91 @@ +# Copyright (c) Facebook, Inc. and its affiliates. All Rights Reserved +""" +Various positional encodings for the transformer. +""" +import math +import torch +from torch import nn + +from util.misc import NestedTensor + + +class PositionEmbeddingSine(nn.Module): + """ + This is a more standard version of the position embedding, very similar to the one + used by the Attention is all you need paper, generalized to work on images. + """ + def __init__(self, num_pos_feats=64, temperature=10000, normalize=False, scale=None): + super().__init__() + self.num_pos_feats = num_pos_feats + self.temperature = temperature + self.normalize = normalize + if scale is not None and normalize is False: + raise ValueError("normalize should be True if scale is passed") + if scale is None: + scale = 2 * math.pi + self.scale = scale + + def forward(self, tensor): + x = tensor + # mask = tensor_list.mask + # assert mask is not None + # not_mask = ~mask + + not_mask = torch.ones_like(x[0, [0]]) + y_embed = not_mask.cumsum(1, dtype=torch.float32) + x_embed = not_mask.cumsum(2, dtype=torch.float32) + if self.normalize: + eps = 1e-6 + y_embed = y_embed / (y_embed[:, -1:, :] + eps) * self.scale + x_embed = x_embed / (x_embed[:, :, -1:] + eps) * self.scale + + dim_t = torch.arange(self.num_pos_feats, dtype=torch.float32, device=x.device) + dim_t = self.temperature ** (2 * (dim_t // 2) / self.num_pos_feats) + + pos_x = x_embed[:, :, :, None] / dim_t + pos_y = y_embed[:, :, :, None] / dim_t + pos_x = torch.stack((pos_x[:, :, :, 0::2].sin(), pos_x[:, :, :, 1::2].cos()), dim=4).flatten(3) + pos_y = torch.stack((pos_y[:, :, :, 0::2].sin(), pos_y[:, :, :, 1::2].cos()), dim=4).flatten(3) + pos = torch.cat((pos_y, pos_x), dim=3).permute(0, 3, 1, 2) + return pos + + +class PositionEmbeddingLearned(nn.Module): + """ + Absolute pos embedding, learned. + """ + def __init__(self, num_pos_feats=256): + super().__init__() + self.row_embed = nn.Embedding(50, num_pos_feats) + self.col_embed = nn.Embedding(50, num_pos_feats) + self.reset_parameters() + + def reset_parameters(self): + nn.init.uniform_(self.row_embed.weight) + nn.init.uniform_(self.col_embed.weight) + + def forward(self, tensor_list: NestedTensor): + x = tensor_list.tensors + h, w = x.shape[-2:] + i = torch.arange(w, device=x.device) + j = torch.arange(h, device=x.device) + x_emb = self.col_embed(i) + y_emb = self.row_embed(j) + pos = torch.cat([ + x_emb.unsqueeze(0).repeat(h, 1, 1), + y_emb.unsqueeze(1).repeat(1, w, 1), + ], dim=-1).permute(2, 0, 1).unsqueeze(0).repeat(x.shape[0], 1, 1, 1) + return pos + + +def build_position_encoding(args): + N_steps = args.hidden_dim // 2 + if args.position_embedding in ('v2', 'sine'): + # TODO find a better way of exposing other arguments + position_embedding = PositionEmbeddingSine(N_steps, normalize=True) + elif args.position_embedding in ('v3', 'learned'): + position_embedding = PositionEmbeddingLearned(N_steps) + else: + raise ValueError(f"not supported {args.position_embedding}") + + return position_embedding diff --git a/roboimi/detr/models/transformer.py b/roboimi/detr/models/transformer.py new file mode 100644 index 0000000..2306ab2 --- /dev/null +++ b/roboimi/detr/models/transformer.py @@ -0,0 +1,312 @@ +# Copyright (c) Facebook, Inc. and its affiliates. All Rights Reserved +""" +DETR Transformer class. + +Copy-paste from torch.nn.Transformer with modifications: + * positional encodings are passed in MHattention + * extra LN at the end of encoder is removed + * decoder returns a stack of activations from all decoding layers +""" +import copy +from typing import Optional, List + +import torch +import torch.nn.functional as F +from torch import nn, Tensor + + +class Transformer(nn.Module): + + def __init__(self, d_model=512, nhead=8, num_encoder_layers=6, + num_decoder_layers=6, dim_feedforward=2048, dropout=0.1, + activation="relu", normalize_before=False, + return_intermediate_dec=False): + super().__init__() + + encoder_layer = TransformerEncoderLayer(d_model, nhead, dim_feedforward, + dropout, activation, normalize_before) + encoder_norm = nn.LayerNorm(d_model) if normalize_before else None + self.encoder = TransformerEncoder(encoder_layer, num_encoder_layers, encoder_norm) + + decoder_layer = TransformerDecoderLayer(d_model, nhead, dim_feedforward, + dropout, activation, normalize_before) + decoder_norm = nn.LayerNorm(d_model) + self.decoder = TransformerDecoder(decoder_layer, num_decoder_layers, decoder_norm, + return_intermediate=return_intermediate_dec) + + self._reset_parameters() + + self.d_model = d_model + self.nhead = nhead + + def _reset_parameters(self): + for p in self.parameters(): + if p.dim() > 1: + nn.init.xavier_uniform_(p) + + def forward(self, src, mask, query_embed, pos_embed, latent_input=None, proprio_input=None, additional_pos_embed=None): + # TODO flatten only when input has H and W + if len(src.shape) == 4: # has H and W + # flatten NxCxHxW to HWxNxC + bs, c, h, w = src.shape + src = src.flatten(2).permute(2, 0, 1) + pos_embed = pos_embed.flatten(2).permute(2, 0, 1).repeat(1, bs, 1) + query_embed = query_embed.unsqueeze(1).repeat(1, bs, 1) + # mask = mask.flatten(1) + + additional_pos_embed = additional_pos_embed.unsqueeze(1).repeat(1, bs, 1) # seq, bs, dim + pos_embed = torch.cat([additional_pos_embed, pos_embed], axis=0) + + addition_input = torch.stack([latent_input, proprio_input], axis=0) + src = torch.cat([addition_input, src], axis=0) + else: + assert len(src.shape) == 3 + # flatten NxHWxC to HWxNxC + bs, hw, c = src.shape + src = src.permute(1, 0, 2) + pos_embed = pos_embed.unsqueeze(1).repeat(1, bs, 1) + query_embed = query_embed.unsqueeze(1).repeat(1, bs, 1) + + tgt = torch.zeros_like(query_embed) + memory = self.encoder(src, src_key_padding_mask=mask, pos=pos_embed) + hs = self.decoder(tgt, memory, memory_key_padding_mask=mask, + pos=pos_embed, query_pos=query_embed) + hs = hs.transpose(1, 2) + return hs + +class TransformerEncoder(nn.Module): + + def __init__(self, encoder_layer, num_layers, norm=None): + super().__init__() + self.layers = _get_clones(encoder_layer, num_layers) + self.num_layers = num_layers + self.norm = norm + + def forward(self, src, + mask: Optional[Tensor] = None, + src_key_padding_mask: Optional[Tensor] = None, + pos: Optional[Tensor] = None): + output = src + + for layer in self.layers: + output = layer(output, src_mask=mask, + src_key_padding_mask=src_key_padding_mask, pos=pos) + + if self.norm is not None: + output = self.norm(output) + + return output + + +class TransformerDecoder(nn.Module): + + def __init__(self, decoder_layer, num_layers, norm=None, return_intermediate=False): + super().__init__() + self.layers = _get_clones(decoder_layer, num_layers) + self.num_layers = num_layers + self.norm = norm + self.return_intermediate = return_intermediate + + def forward(self, tgt, memory, + tgt_mask: Optional[Tensor] = None, + memory_mask: Optional[Tensor] = None, + tgt_key_padding_mask: Optional[Tensor] = None, + memory_key_padding_mask: Optional[Tensor] = None, + pos: Optional[Tensor] = None, + query_pos: Optional[Tensor] = None): + output = tgt + + intermediate = [] + + for layer in self.layers: + output = layer(output, memory, tgt_mask=tgt_mask, + memory_mask=memory_mask, + tgt_key_padding_mask=tgt_key_padding_mask, + memory_key_padding_mask=memory_key_padding_mask, + pos=pos, query_pos=query_pos) + if self.return_intermediate: + intermediate.append(self.norm(output)) + + if self.norm is not None: + output = self.norm(output) + if self.return_intermediate: + intermediate.pop() + intermediate.append(output) + + if self.return_intermediate: + return torch.stack(intermediate) + + return output.unsqueeze(0) + + +class TransformerEncoderLayer(nn.Module): + + def __init__(self, d_model, nhead, dim_feedforward=2048, dropout=0.1, + activation="relu", normalize_before=False): + super().__init__() + self.self_attn = nn.MultiheadAttention(d_model, nhead, dropout=dropout) + # Implementation of Feedforward model + self.linear1 = nn.Linear(d_model, dim_feedforward) + self.dropout = nn.Dropout(dropout) + self.linear2 = nn.Linear(dim_feedforward, d_model) + + self.norm1 = nn.LayerNorm(d_model) + self.norm2 = nn.LayerNorm(d_model) + self.dropout1 = nn.Dropout(dropout) + self.dropout2 = nn.Dropout(dropout) + + self.activation = _get_activation_fn(activation) + self.normalize_before = normalize_before + + def with_pos_embed(self, tensor, pos: Optional[Tensor]): + return tensor if pos is None else tensor + pos + + def forward_post(self, + src, + src_mask: Optional[Tensor] = None, + src_key_padding_mask: Optional[Tensor] = None, + pos: Optional[Tensor] = None): + q = k = self.with_pos_embed(src, pos) + src2 = self.self_attn(q, k, value=src, attn_mask=src_mask, + key_padding_mask=src_key_padding_mask)[0] + src = src + self.dropout1(src2) + src = self.norm1(src) + src2 = self.linear2(self.dropout(self.activation(self.linear1(src)))) + src = src + self.dropout2(src2) + src = self.norm2(src) + return src + + def forward_pre(self, src, + src_mask: Optional[Tensor] = None, + src_key_padding_mask: Optional[Tensor] = None, + pos: Optional[Tensor] = None): + src2 = self.norm1(src) + q = k = self.with_pos_embed(src2, pos) + src2 = self.self_attn(q, k, value=src2, attn_mask=src_mask, + key_padding_mask=src_key_padding_mask)[0] + src = src + self.dropout1(src2) + src2 = self.norm2(src) + src2 = self.linear2(self.dropout(self.activation(self.linear1(src2)))) + src = src + self.dropout2(src2) + return src + + def forward(self, src, + src_mask: Optional[Tensor] = None, + src_key_padding_mask: Optional[Tensor] = None, + pos: Optional[Tensor] = None): + if self.normalize_before: + return self.forward_pre(src, src_mask, src_key_padding_mask, pos) + return self.forward_post(src, src_mask, src_key_padding_mask, pos) + + +class TransformerDecoderLayer(nn.Module): + + def __init__(self, d_model, nhead, dim_feedforward=2048, dropout=0.1, + activation="relu", normalize_before=False): + super().__init__() + self.self_attn = nn.MultiheadAttention(d_model, nhead, dropout=dropout) + self.multihead_attn = nn.MultiheadAttention(d_model, nhead, dropout=dropout) + # Implementation of Feedforward model + self.linear1 = nn.Linear(d_model, dim_feedforward) + self.dropout = nn.Dropout(dropout) + self.linear2 = nn.Linear(dim_feedforward, d_model) + + self.norm1 = nn.LayerNorm(d_model) + self.norm2 = nn.LayerNorm(d_model) + self.norm3 = nn.LayerNorm(d_model) + self.dropout1 = nn.Dropout(dropout) + self.dropout2 = nn.Dropout(dropout) + self.dropout3 = nn.Dropout(dropout) + + self.activation = _get_activation_fn(activation) + self.normalize_before = normalize_before + + def with_pos_embed(self, tensor, pos: Optional[Tensor]): + return tensor if pos is None else tensor + pos + + def forward_post(self, tgt, memory, + tgt_mask: Optional[Tensor] = None, + memory_mask: Optional[Tensor] = None, + tgt_key_padding_mask: Optional[Tensor] = None, + memory_key_padding_mask: Optional[Tensor] = None, + pos: Optional[Tensor] = None, + query_pos: Optional[Tensor] = None): + q = k = self.with_pos_embed(tgt, query_pos) + tgt2 = self.self_attn(q, k, value=tgt, attn_mask=tgt_mask, + key_padding_mask=tgt_key_padding_mask)[0] + tgt = tgt + self.dropout1(tgt2) + tgt = self.norm1(tgt) + tgt2 = self.multihead_attn(query=self.with_pos_embed(tgt, query_pos), + key=self.with_pos_embed(memory, pos), + value=memory, attn_mask=memory_mask, + key_padding_mask=memory_key_padding_mask)[0] + tgt = tgt + self.dropout2(tgt2) + tgt = self.norm2(tgt) + tgt2 = self.linear2(self.dropout(self.activation(self.linear1(tgt)))) + tgt = tgt + self.dropout3(tgt2) + tgt = self.norm3(tgt) + return tgt + + def forward_pre(self, tgt, memory, + tgt_mask: Optional[Tensor] = None, + memory_mask: Optional[Tensor] = None, + tgt_key_padding_mask: Optional[Tensor] = None, + memory_key_padding_mask: Optional[Tensor] = None, + pos: Optional[Tensor] = None, + query_pos: Optional[Tensor] = None): + tgt2 = self.norm1(tgt) + q = k = self.with_pos_embed(tgt2, query_pos) + tgt2 = self.self_attn(q, k, value=tgt2, attn_mask=tgt_mask, + key_padding_mask=tgt_key_padding_mask)[0] + tgt = tgt + self.dropout1(tgt2) + tgt2 = self.norm2(tgt) + tgt2 = self.multihead_attn(query=self.with_pos_embed(tgt2, query_pos), + key=self.with_pos_embed(memory, pos), + value=memory, attn_mask=memory_mask, + key_padding_mask=memory_key_padding_mask)[0] + tgt = tgt + self.dropout2(tgt2) + tgt2 = self.norm3(tgt) + tgt2 = self.linear2(self.dropout(self.activation(self.linear1(tgt2)))) + tgt = tgt + self.dropout3(tgt2) + return tgt + + def forward(self, tgt, memory, + tgt_mask: Optional[Tensor] = None, + memory_mask: Optional[Tensor] = None, + tgt_key_padding_mask: Optional[Tensor] = None, + memory_key_padding_mask: Optional[Tensor] = None, + pos: Optional[Tensor] = None, + query_pos: Optional[Tensor] = None): + if self.normalize_before: + return self.forward_pre(tgt, memory, tgt_mask, memory_mask, + tgt_key_padding_mask, memory_key_padding_mask, pos, query_pos) + return self.forward_post(tgt, memory, tgt_mask, memory_mask, + tgt_key_padding_mask, memory_key_padding_mask, pos, query_pos) + + +def _get_clones(module, N): + return nn.ModuleList([copy.deepcopy(module) for i in range(N)]) + + +def build_transformer(args): + return Transformer( + d_model=args.hidden_dim, + dropout=args.dropout, + nhead=args.nheads, + dim_feedforward=args.dim_feedforward, + num_encoder_layers=args.enc_layers, + num_decoder_layers=args.dec_layers, + normalize_before=args.pre_norm, + return_intermediate_dec=True, + ) + + +def _get_activation_fn(activation): + """Return an activation function given a string""" + if activation == "relu": + return F.relu + if activation == "gelu": + return F.gelu + if activation == "glu": + return F.glu + raise RuntimeError(F"activation should be relu/gelu, not {activation}.") diff --git a/roboimi/detr/policy.py b/roboimi/detr/policy.py new file mode 100644 index 0000000..20ac4c0 --- /dev/null +++ b/roboimi/detr/policy.py @@ -0,0 +1,163 @@ +import torch.nn as nn +from torch.nn import functional as F +import torchvision.transforms as transforms +from torchvision.transforms import v2 +import torch +from roboimi.detr.main import build_ACT_model_and_optimizer, build_CNNMLP_model_and_optimizer + + +class ACTPolicy(nn.Module): + def __init__(self, args_override): + super().__init__() + model, optimizer = build_ACT_model_and_optimizer(args_override) + self.model = model # CVAE decoder + self.optimizer = optimizer + self.kl_weight = args_override['kl_weight'] + print(f'KL Weight {self.kl_weight}') + + def __call__(self, qpos, image, actions=None, is_pad=None): + env_state = None + normalize = transforms.Normalize(mean=[0.485, 0.456, 0.406], + std=[0.229, 0.224, 0.225]) + image = normalize(image) + if actions is not None: # training time + actions = actions[:, :self.model.num_queries] + is_pad = is_pad[:, :self.model.num_queries] + + a_hat, is_pad_hat, (mu, logvar) = self.model(qpos, image, env_state, actions, is_pad) + total_kld, dim_wise_kld, mean_kld = kl_divergence(mu, logvar) + loss_dict = dict() + all_l1 = F.l1_loss(actions, a_hat, reduction='none') + l1 = (all_l1 * ~is_pad.unsqueeze(-1)).mean() + loss_dict['l1'] = l1 + loss_dict['kl'] = total_kld[0] + loss_dict['loss'] = loss_dict['l1'] + loss_dict['kl'] * self.kl_weight + return loss_dict + else: # inference time + a_hat, _, (_, _) = self.model(qpos, image, env_state) # no action, sample from prior + return a_hat + + def configure_optimizers(self): + return self.optimizer + +class ACTTVPolicy(nn.Module): + def __init__(self, args_override): + super().__init__() + model, optimizer = build_ACT_model_and_optimizer(args_override) + self.model = model # CVAE decoder + self.optimizer = optimizer + self.kl_weight = args_override['kl_weight'] + self.qpos_noise_std = args_override['qpos_noise_std'] + print(f'KL Weight {self.kl_weight}') + + def __call__(self, qpos, image, actions=None, is_pad=None): + env_state = None + + + + + + + + + + # normalize = transforms.Normalize(mean=[0.485, 0.456, 0.406], + # std=[0.229, 0.224, 0.225]) + # image = normalize(image) + + + patch_h = 16 + patch_w = 22 + if actions is not None: + transform = v2.Compose([ + v2.ColorJitter(brightness=0.5, contrast=0.5, saturation=0.5, hue=0.5), + v2.RandomPerspective(distortion_scale=0.5), + v2.RandomAffine(degrees=10, translate=(0.1,0.1), scale=(0.9,1.1)), + v2.GaussianBlur(kernel_size=(9,9), sigma=(0.1,2.0)), + v2.Resize((patch_h * 14, patch_w * 14)), + # v2.CenterCrop((patch_h * 14, patch_w * 14)), + v2.Normalize(mean=(0.485, 0.456, 0.406), std=(0.229, 0.224, 0.225)), + ]) + qpos += (self.qpos_noise_std**0.5)*torch.randn_like(qpos) + else: # inference time + transform = v2.Compose([ + v2.Resize((patch_h * 14, patch_w * 14)), + # v2.CenterCrop((patch_h * 14, patch_w * 14)), + v2.Normalize(mean=(0.485, 0.456, 0.406), std=(0.229, 0.224, 0.225)) + ]) + + image = transform(image) + + + + + + + + + + + + + if actions is not None: # training time + actions = actions[:, :self.model.num_queries] + is_pad = is_pad[:, :self.model.num_queries] + + a_hat, is_pad_hat, (mu, logvar) = self.model(qpos, image, env_state, actions, is_pad) + total_kld, dim_wise_kld, mean_kld = kl_divergence(mu, logvar) + loss_dict = dict() + all_l1 = F.l1_loss(actions, a_hat, reduction='none') + l1 = (all_l1 * ~is_pad.unsqueeze(-1)).mean() + loss_dict['l1'] = l1 + loss_dict['kl'] = total_kld[0] + loss_dict['loss'] = loss_dict['l1'] + loss_dict['kl'] * self.kl_weight + return loss_dict + else: # inference time + a_hat, _, (_, _) = self.model(qpos, image, env_state) # no action, sample from prior + return a_hat + + def configure_optimizers(self): + return self.optimizer + + +class CNNMLPPolicy(nn.Module): + def __init__(self, args_override): + super().__init__() + model, optimizer = build_CNNMLP_model_and_optimizer(args_override) + self.model = model # decoder + self.optimizer = optimizer + + def __call__(self, qpos, image, actions=None, is_pad=None): + env_state = None # TODO + normalize = transforms.Normalize(mean=[0.485, 0.456, 0.406], + std=[0.229, 0.224, 0.225]) + image = normalize(image) + if actions is not None: # training time + actions = actions[:, 0] + a_hat = self.model(qpos, image, env_state, actions) + mse = F.mse_loss(actions, a_hat) + loss_dict = dict() + loss_dict['mse'] = mse + loss_dict['loss'] = loss_dict['mse'] + return loss_dict + else: # inference time + a_hat = self.model(qpos, image, env_state) # no action, sample from prior + return a_hat + + def configure_optimizers(self): + return self.optimizer + +def kl_divergence(mu, logvar): + batch_size = mu.size(0) + assert batch_size != 0 + if mu.data.ndimension() == 4: + mu = mu.view(mu.size(0), mu.size(1)) + if logvar.data.ndimension() == 4: + logvar = logvar.view(logvar.size(0), logvar.size(1)) + + klds = -0.5 * (1 + logvar - mu.pow(2) - logvar.exp()) + total_kld = klds.sum(1).mean(0, True) + dimension_wise_kld = klds.mean(0) + mean_kld = klds.mean(1).mean(0, True) + + return total_kld, dimension_wise_kld, mean_kld diff --git a/roboimi/detr/setup.py b/roboimi/detr/setup.py new file mode 100644 index 0000000..55d18c0 --- /dev/null +++ b/roboimi/detr/setup.py @@ -0,0 +1,10 @@ +from distutils.core import setup +from setuptools import find_packages + +setup( + name='detr', + version='0.0.0', + packages=find_packages(), + license='MIT License', + long_description=open('README.md').read(), +) \ No newline at end of file diff --git a/roboimi/detr/util/__init__.py b/roboimi/detr/util/__init__.py new file mode 100644 index 0000000..168f997 --- /dev/null +++ b/roboimi/detr/util/__init__.py @@ -0,0 +1 @@ +# Copyright (c) Facebook, Inc. and its affiliates. All Rights Reserved diff --git a/roboimi/detr/util/box_ops.py b/roboimi/detr/util/box_ops.py new file mode 100644 index 0000000..9c088e5 --- /dev/null +++ b/roboimi/detr/util/box_ops.py @@ -0,0 +1,88 @@ +# Copyright (c) Facebook, Inc. and its affiliates. All Rights Reserved +""" +Utilities for bounding box manipulation and GIoU. +""" +import torch +from torchvision.ops.boxes import box_area + + +def box_cxcywh_to_xyxy(x): + x_c, y_c, w, h = x.unbind(-1) + b = [(x_c - 0.5 * w), (y_c - 0.5 * h), + (x_c + 0.5 * w), (y_c + 0.5 * h)] + return torch.stack(b, dim=-1) + + +def box_xyxy_to_cxcywh(x): + x0, y0, x1, y1 = x.unbind(-1) + b = [(x0 + x1) / 2, (y0 + y1) / 2, + (x1 - x0), (y1 - y0)] + return torch.stack(b, dim=-1) + + +# modified from torchvision to also return the union +def box_iou(boxes1, boxes2): + area1 = box_area(boxes1) + area2 = box_area(boxes2) + + lt = torch.max(boxes1[:, None, :2], boxes2[:, :2]) # [N,M,2] + rb = torch.min(boxes1[:, None, 2:], boxes2[:, 2:]) # [N,M,2] + + wh = (rb - lt).clamp(min=0) # [N,M,2] + inter = wh[:, :, 0] * wh[:, :, 1] # [N,M] + + union = area1[:, None] + area2 - inter + + iou = inter / union + return iou, union + + +def generalized_box_iou(boxes1, boxes2): + """ + Generalized IoU from https://giou.stanford.edu/ + + The boxes should be in [x0, y0, x1, y1] format + + Returns a [N, M] pairwise matrix, where N = len(boxes1) + and M = len(boxes2) + """ + # degenerate boxes gives inf / nan results + # so do an early check + assert (boxes1[:, 2:] >= boxes1[:, :2]).all() + assert (boxes2[:, 2:] >= boxes2[:, :2]).all() + iou, union = box_iou(boxes1, boxes2) + + lt = torch.min(boxes1[:, None, :2], boxes2[:, :2]) + rb = torch.max(boxes1[:, None, 2:], boxes2[:, 2:]) + + wh = (rb - lt).clamp(min=0) # [N,M,2] + area = wh[:, :, 0] * wh[:, :, 1] + + return iou - (area - union) / area + + +def masks_to_boxes(masks): + """Compute the bounding boxes around the provided masks + + The masks should be in format [N, H, W] where N is the number of masks, (H, W) are the spatial dimensions. + + Returns a [N, 4] tensors, with the boxes in xyxy format + """ + if masks.numel() == 0: + return torch.zeros((0, 4), device=masks.device) + + h, w = masks.shape[-2:] + + y = torch.arange(0, h, dtype=torch.float) + x = torch.arange(0, w, dtype=torch.float) + y, x = torch.meshgrid(y, x) + + x_mask = (masks * x.unsqueeze(0)) + x_max = x_mask.flatten(1).max(-1)[0] + x_min = x_mask.masked_fill(~(masks.bool()), 1e8).flatten(1).min(-1)[0] + + y_mask = (masks * y.unsqueeze(0)) + y_max = y_mask.flatten(1).max(-1)[0] + y_min = y_mask.masked_fill(~(masks.bool()), 1e8).flatten(1).min(-1)[0] + + return torch.stack([x_min, y_min, x_max, y_max], 1) diff --git a/roboimi/detr/util/misc.py b/roboimi/detr/util/misc.py new file mode 100644 index 0000000..dfa9fb5 --- /dev/null +++ b/roboimi/detr/util/misc.py @@ -0,0 +1,468 @@ +# Copyright (c) Facebook, Inc. and its affiliates. All Rights Reserved +""" +Misc functions, including distributed helpers. + +Mostly copy-paste from torchvision references. +""" +import os +import subprocess +import time +from collections import defaultdict, deque +import datetime +import pickle +from packaging import version +from typing import Optional, List + +import torch +import torch.distributed as dist +from torch import Tensor + +# needed due to empty tensor bug in pytorch and torchvision 0.5 +import torchvision +if version.parse(torchvision.__version__) < version.parse('0.7'): + from torchvision.ops import _new_empty_tensor + from torchvision.ops.misc import _output_size + + +class SmoothedValue(object): + """Track a series of values and provide access to smoothed values over a + window or the global series average. + """ + + def __init__(self, window_size=20, fmt=None): + if fmt is None: + fmt = "{median:.4f} ({global_avg:.4f})" + self.deque = deque(maxlen=window_size) + self.total = 0.0 + self.count = 0 + self.fmt = fmt + + def update(self, value, n=1): + self.deque.append(value) + self.count += n + self.total += value * n + + def synchronize_between_processes(self): + """ + Warning: does not synchronize the deque! + """ + if not is_dist_avail_and_initialized(): + return + t = torch.tensor([self.count, self.total], dtype=torch.float64, device='cuda') + dist.barrier() + dist.all_reduce(t) + t = t.tolist() + self.count = int(t[0]) + self.total = t[1] + + @property + def median(self): + d = torch.tensor(list(self.deque)) + return d.median().item() + + @property + def avg(self): + d = torch.tensor(list(self.deque), dtype=torch.float32) + return d.mean().item() + + @property + def global_avg(self): + return self.total / self.count + + @property + def max(self): + return max(self.deque) + + @property + def value(self): + return self.deque[-1] + + def __str__(self): + return self.fmt.format( + median=self.median, + avg=self.avg, + global_avg=self.global_avg, + max=self.max, + value=self.value) + + +def all_gather(data): + """ + Run all_gather on arbitrary picklable data (not necessarily tensors) + Args: + data: any picklable object + Returns: + list[data]: list of data gathered from each rank + """ + world_size = get_world_size() + if world_size == 1: + return [data] + + # serialized to a Tensor + buffer = pickle.dumps(data) + storage = torch.ByteStorage.from_buffer(buffer) + tensor = torch.ByteTensor(storage).to("cuda") + + # obtain Tensor size of each rank + local_size = torch.tensor([tensor.numel()], device="cuda") + size_list = [torch.tensor([0], device="cuda") for _ in range(world_size)] + dist.all_gather(size_list, local_size) + size_list = [int(size.item()) for size in size_list] + max_size = max(size_list) + + # receiving Tensor from all ranks + # we pad the tensor because torch all_gather does not support + # gathering tensors of different shapes + tensor_list = [] + for _ in size_list: + tensor_list.append(torch.empty((max_size,), dtype=torch.uint8, device="cuda")) + if local_size != max_size: + padding = torch.empty(size=(max_size - local_size,), dtype=torch.uint8, device="cuda") + tensor = torch.cat((tensor, padding), dim=0) + dist.all_gather(tensor_list, tensor) + + data_list = [] + for size, tensor in zip(size_list, tensor_list): + buffer = tensor.cpu().numpy().tobytes()[:size] + data_list.append(pickle.loads(buffer)) + + return data_list + + +def reduce_dict(input_dict, average=True): + """ + Args: + input_dict (dict): all the values will be reduced + average (bool): whether to do average or sum + Reduce the values in the dictionary from all processes so that all processes + have the averaged results. Returns a dict with the same fields as + input_dict, after reduction. + """ + world_size = get_world_size() + if world_size < 2: + return input_dict + with torch.no_grad(): + names = [] + values = [] + # sort the keys so that they are consistent across processes + for k in sorted(input_dict.keys()): + names.append(k) + values.append(input_dict[k]) + values = torch.stack(values, dim=0) + dist.all_reduce(values) + if average: + values /= world_size + reduced_dict = {k: v for k, v in zip(names, values)} + return reduced_dict + + +class MetricLogger(object): + def __init__(self, delimiter="\t"): + self.meters = defaultdict(SmoothedValue) + self.delimiter = delimiter + + def update(self, **kwargs): + for k, v in kwargs.items(): + if isinstance(v, torch.Tensor): + v = v.item() + assert isinstance(v, (float, int)) + self.meters[k].update(v) + + def __getattr__(self, attr): + if attr in self.meters: + return self.meters[attr] + if attr in self.__dict__: + return self.__dict__[attr] + raise AttributeError("'{}' object has no attribute '{}'".format( + type(self).__name__, attr)) + + def __str__(self): + loss_str = [] + for name, meter in self.meters.items(): + loss_str.append( + "{}: {}".format(name, str(meter)) + ) + return self.delimiter.join(loss_str) + + def synchronize_between_processes(self): + for meter in self.meters.values(): + meter.synchronize_between_processes() + + def add_meter(self, name, meter): + self.meters[name] = meter + + def log_every(self, iterable, print_freq, header=None): + i = 0 + if not header: + header = '' + start_time = time.time() + end = time.time() + iter_time = SmoothedValue(fmt='{avg:.4f}') + data_time = SmoothedValue(fmt='{avg:.4f}') + space_fmt = ':' + str(len(str(len(iterable)))) + 'd' + if torch.cuda.is_available(): + log_msg = self.delimiter.join([ + header, + '[{0' + space_fmt + '}/{1}]', + 'eta: {eta}', + '{meters}', + 'time: {time}', + 'data: {data}', + 'max mem: {memory:.0f}' + ]) + else: + log_msg = self.delimiter.join([ + header, + '[{0' + space_fmt + '}/{1}]', + 'eta: {eta}', + '{meters}', + 'time: {time}', + 'data: {data}' + ]) + MB = 1024.0 * 1024.0 + for obj in iterable: + data_time.update(time.time() - end) + yield obj + iter_time.update(time.time() - end) + if i % print_freq == 0 or i == len(iterable) - 1: + eta_seconds = iter_time.global_avg * (len(iterable) - i) + eta_string = str(datetime.timedelta(seconds=int(eta_seconds))) + if torch.cuda.is_available(): + print(log_msg.format( + i, len(iterable), eta=eta_string, + meters=str(self), + time=str(iter_time), data=str(data_time), + memory=torch.cuda.max_memory_allocated() / MB)) + else: + print(log_msg.format( + i, len(iterable), eta=eta_string, + meters=str(self), + time=str(iter_time), data=str(data_time))) + i += 1 + end = time.time() + total_time = time.time() - start_time + total_time_str = str(datetime.timedelta(seconds=int(total_time))) + print('{} Total time: {} ({:.4f} s / it)'.format( + header, total_time_str, total_time / len(iterable))) + + +def get_sha(): + cwd = os.path.dirname(os.path.abspath(__file__)) + + def _run(command): + return subprocess.check_output(command, cwd=cwd).decode('ascii').strip() + sha = 'N/A' + diff = "clean" + branch = 'N/A' + try: + sha = _run(['git', 'rev-parse', 'HEAD']) + subprocess.check_output(['git', 'diff'], cwd=cwd) + diff = _run(['git', 'diff-index', 'HEAD']) + diff = "has uncommited changes" if diff else "clean" + branch = _run(['git', 'rev-parse', '--abbrev-ref', 'HEAD']) + except Exception: + pass + message = f"sha: {sha}, status: {diff}, branch: {branch}" + return message + + +def collate_fn(batch): + batch = list(zip(*batch)) + batch[0] = nested_tensor_from_tensor_list(batch[0]) + return tuple(batch) + + +def _max_by_axis(the_list): + # type: (List[List[int]]) -> List[int] + maxes = the_list[0] + for sublist in the_list[1:]: + for index, item in enumerate(sublist): + maxes[index] = max(maxes[index], item) + return maxes + + +class NestedTensor(object): + def __init__(self, tensors, mask: Optional[Tensor]): + self.tensors = tensors + self.mask = mask + + def to(self, device): + # type: (Device) -> NestedTensor # noqa + cast_tensor = self.tensors.to(device) + mask = self.mask + if mask is not None: + assert mask is not None + cast_mask = mask.to(device) + else: + cast_mask = None + return NestedTensor(cast_tensor, cast_mask) + + def decompose(self): + return self.tensors, self.mask + + def __repr__(self): + return str(self.tensors) + + +def nested_tensor_from_tensor_list(tensor_list: List[Tensor]): + # TODO make this more general + if tensor_list[0].ndim == 3: + if torchvision._is_tracing(): + # nested_tensor_from_tensor_list() does not export well to ONNX + # call _onnx_nested_tensor_from_tensor_list() instead + return _onnx_nested_tensor_from_tensor_list(tensor_list) + + # TODO make it support different-sized images + max_size = _max_by_axis([list(img.shape) for img in tensor_list]) + # min_size = tuple(min(s) for s in zip(*[img.shape for img in tensor_list])) + batch_shape = [len(tensor_list)] + max_size + b, c, h, w = batch_shape + dtype = tensor_list[0].dtype + device = tensor_list[0].device + tensor = torch.zeros(batch_shape, dtype=dtype, device=device) + mask = torch.ones((b, h, w), dtype=torch.bool, device=device) + for img, pad_img, m in zip(tensor_list, tensor, mask): + pad_img[: img.shape[0], : img.shape[1], : img.shape[2]].copy_(img) + m[: img.shape[1], :img.shape[2]] = False + else: + raise ValueError('not supported') + return NestedTensor(tensor, mask) + + +# _onnx_nested_tensor_from_tensor_list() is an implementation of +# nested_tensor_from_tensor_list() that is supported by ONNX tracing. +@torch.jit.unused +def _onnx_nested_tensor_from_tensor_list(tensor_list: List[Tensor]) -> NestedTensor: + max_size = [] + for i in range(tensor_list[0].dim()): + max_size_i = torch.max(torch.stack([img.shape[i] for img in tensor_list]).to(torch.float32)).to(torch.int64) + max_size.append(max_size_i) + max_size = tuple(max_size) + + # work around for + # pad_img[: img.shape[0], : img.shape[1], : img.shape[2]].copy_(img) + # m[: img.shape[1], :img.shape[2]] = False + # which is not yet supported in onnx + padded_imgs = [] + padded_masks = [] + for img in tensor_list: + padding = [(s1 - s2) for s1, s2 in zip(max_size, tuple(img.shape))] + padded_img = torch.nn.functional.pad(img, (0, padding[2], 0, padding[1], 0, padding[0])) + padded_imgs.append(padded_img) + + m = torch.zeros_like(img[0], dtype=torch.int, device=img.device) + padded_mask = torch.nn.functional.pad(m, (0, padding[2], 0, padding[1]), "constant", 1) + padded_masks.append(padded_mask.to(torch.bool)) + + tensor = torch.stack(padded_imgs) + mask = torch.stack(padded_masks) + + return NestedTensor(tensor, mask=mask) + + +def setup_for_distributed(is_master): + """ + This function disables printing when not in master process + """ + import builtins as __builtin__ + builtin_print = __builtin__.print + + def print(*args, **kwargs): + force = kwargs.pop('force', False) + if is_master or force: + builtin_print(*args, **kwargs) + + __builtin__.print = print + + +def is_dist_avail_and_initialized(): + if not dist.is_available(): + return False + if not dist.is_initialized(): + return False + return True + + +def get_world_size(): + if not is_dist_avail_and_initialized(): + return 1 + return dist.get_world_size() + + +def get_rank(): + if not is_dist_avail_and_initialized(): + return 0 + return dist.get_rank() + + +def is_main_process(): + return get_rank() == 0 + + +def save_on_master(*args, **kwargs): + if is_main_process(): + torch.save(*args, **kwargs) + + +def init_distributed_mode(args): + if 'RANK' in os.environ and 'WORLD_SIZE' in os.environ: + args.rank = int(os.environ["RANK"]) + args.world_size = int(os.environ['WORLD_SIZE']) + args.gpu = int(os.environ['LOCAL_RANK']) + elif 'SLURM_PROCID' in os.environ: + args.rank = int(os.environ['SLURM_PROCID']) + args.gpu = args.rank % torch.cuda.device_count() + else: + print('Not using distributed mode') + args.distributed = False + return + + args.distributed = True + + torch.cuda.set_device(args.gpu) + args.dist_backend = 'nccl' + print('| distributed init (rank {}): {}'.format( + args.rank, args.dist_url), flush=True) + torch.distributed.init_process_group(backend=args.dist_backend, init_method=args.dist_url, + world_size=args.world_size, rank=args.rank) + torch.distributed.barrier() + setup_for_distributed(args.rank == 0) + + +@torch.no_grad() +def accuracy(output, target, topk=(1,)): + """Computes the precision@k for the specified values of k""" + if target.numel() == 0: + return [torch.zeros([], device=output.device)] + maxk = max(topk) + batch_size = target.size(0) + + _, pred = output.topk(maxk, 1, True, True) + pred = pred.t() + correct = pred.eq(target.view(1, -1).expand_as(pred)) + + res = [] + for k in topk: + correct_k = correct[:k].view(-1).float().sum(0) + res.append(correct_k.mul_(100.0 / batch_size)) + return res + + +def interpolate(input, size=None, scale_factor=None, mode="nearest", align_corners=None): + # type: (Tensor, Optional[List[int]], Optional[float], str, Optional[bool]) -> Tensor + """ + Equivalent to nn.functional.interpolate, but with support for empty batch sizes. + This will eventually be supported natively by PyTorch, and this + class can go away. + """ + if version.parse(torchvision.__version__) < version.parse('0.7'): + if input.numel() > 0: + return torch.nn.functional.interpolate( + input, size, scale_factor, mode, align_corners + ) + + output_shape = _output_size(2, input, size, scale_factor) + output_shape = list(input.shape[:-2]) + list(output_shape) + return _new_empty_tensor(input, output_shape) + else: + return torchvision.ops.misc.interpolate(input, size, scale_factor, mode, align_corners) diff --git a/roboimi/detr/util/plot_utils.py b/roboimi/detr/util/plot_utils.py new file mode 100644 index 0000000..0f24bed --- /dev/null +++ b/roboimi/detr/util/plot_utils.py @@ -0,0 +1,107 @@ +""" +Plotting utilities to visualize training logs. +""" +import torch +import pandas as pd +import numpy as np +import seaborn as sns +import matplotlib.pyplot as plt + +from pathlib import Path, PurePath + + +def plot_logs(logs, fields=('class_error', 'loss_bbox_unscaled', 'mAP'), ewm_col=0, log_name='log.txt'): + ''' + Function to plot specific fields from training log(s). Plots both training and test results. + + :: Inputs - logs = list containing Path objects, each pointing to individual dir with a log file + - fields = which results to plot from each log file - plots both training and test for each field. + - ewm_col = optional, which column to use as the exponential weighted smoothing of the plots + - log_name = optional, name of log file if different than default 'log.txt'. + + :: Outputs - matplotlib plots of results in fields, color coded for each log file. + - solid lines are training results, dashed lines are test results. + + ''' + func_name = "plot_utils.py::plot_logs" + + # verify logs is a list of Paths (list[Paths]) or single Pathlib object Path, + # convert single Path to list to avoid 'not iterable' error + + if not isinstance(logs, list): + if isinstance(logs, PurePath): + logs = [logs] + print(f"{func_name} info: logs param expects a list argument, converted to list[Path].") + else: + raise ValueError(f"{func_name} - invalid argument for logs parameter.\n \ + Expect list[Path] or single Path obj, received {type(logs)}") + + # Quality checks - verify valid dir(s), that every item in list is Path object, and that log_name exists in each dir + for i, dir in enumerate(logs): + if not isinstance(dir, PurePath): + raise ValueError(f"{func_name} - non-Path object in logs argument of {type(dir)}: \n{dir}") + if not dir.exists(): + raise ValueError(f"{func_name} - invalid directory in logs argument:\n{dir}") + # verify log_name exists + fn = Path(dir / log_name) + if not fn.exists(): + print(f"-> missing {log_name}. Have you gotten to Epoch 1 in training?") + print(f"--> full path of missing log file: {fn}") + return + + # load log file(s) and plot + dfs = [pd.read_json(Path(p) / log_name, lines=True) for p in logs] + + fig, axs = plt.subplots(ncols=len(fields), figsize=(16, 5)) + + for df, color in zip(dfs, sns.color_palette(n_colors=len(logs))): + for j, field in enumerate(fields): + if field == 'mAP': + coco_eval = pd.DataFrame( + np.stack(df.test_coco_eval_bbox.dropna().values)[:, 1] + ).ewm(com=ewm_col).mean() + axs[j].plot(coco_eval, c=color) + else: + df.interpolate().ewm(com=ewm_col).mean().plot( + y=[f'train_{field}', f'test_{field}'], + ax=axs[j], + color=[color] * 2, + style=['-', '--'] + ) + for ax, field in zip(axs, fields): + ax.legend([Path(p).name for p in logs]) + ax.set_title(field) + + +def plot_precision_recall(files, naming_scheme='iter'): + if naming_scheme == 'exp_id': + # name becomes exp_id + names = [f.parts[-3] for f in files] + elif naming_scheme == 'iter': + names = [f.stem for f in files] + else: + raise ValueError(f'not supported {naming_scheme}') + fig, axs = plt.subplots(ncols=2, figsize=(16, 5)) + for f, color, name in zip(files, sns.color_palette("Blues", n_colors=len(files)), names): + data = torch.load(f) + # precision is n_iou, n_points, n_cat, n_area, max_det + precision = data['precision'] + recall = data['params'].recThrs + scores = data['scores'] + # take precision for all classes, all areas and 100 detections + precision = precision[0, :, :, 0, -1].mean(1) + scores = scores[0, :, :, 0, -1].mean(1) + prec = precision.mean() + rec = data['recall'][0, :, 0, -1].mean() + print(f'{naming_scheme} {name}: mAP@50={prec * 100: 05.1f}, ' + + f'score={scores.mean():0.3f}, ' + + f'f1={2 * prec * rec / (prec + rec + 1e-8):0.3f}' + ) + axs[0].plot(recall, precision, c=color) + axs[1].plot(recall, scores, c=color) + + axs[0].set_title('Precision / Recall') + axs[0].legend(names) + axs[1].set_title('Scores / Recall') + axs[1].legend(names) + return fig, axs diff --git a/roboimi/diana_driver/DianaApi_v2.py b/roboimi/diana_driver/DianaApi_v2.py new file mode 100644 index 0000000..b1135bb --- /dev/null +++ b/roboimi/diana_driver/DianaApi_v2.py @@ -0,0 +1,2539 @@ +#!usr/bin/python3 +from ctypes import * +import platform +import os +import time +import sys +from enum import Enum +import math + + + +errorCodeMessage = { + 0: 'NO_ERROR_CODE', + -1000: 'ERROR_CODE_SOCKET_OTHER_ERROR', + -1001: 'ERROR_CODE_WSASTART_FAIL', + -1002: 'ERROR_CODE_CREATE_SOCKET_FAIL', + -1003: 'ERROR_CODE_BIND_PORT_FAIL', + -1004: 'ERROR_CODE_SOCKET_READ_FAIL', + -1005: 'ERROR_CODE_SOCKET_TIMEOUT', + -1006: 'ERROR_CODE_RECVFROM_FAIL', + -1007: 'ERROR_CODE_SENDTO_FAIL', + -1008: 'ERROR_CODE_LOST_HEARTBEAT', + -1009: 'ERROR_CODE_LOST_ROBOTSTATE', + -1010: 'ERROR_CODE_GET_DH_FAILED', + -1011: 'ERROR_CODE_RELEASE_BRAKE_FAILED', + -1012: 'ERROR_CODE_HOLD_BRAKE_FAILED', + -2001: 'ERROR_CODE_JOINT_REGIST_ERROR', + -2101: 'ERROR_CODE_COMMUNICATE_ERROR', + -2201: 'ERROR_CODE_CALLING_CONFLICT_ERR', + -2202: 'ERROR_CODE_COLLISION_ERROR', + -2203: 'ERROR_CODE_NOT_FOLLOW_POSITION_CMD', + -2204: 'ERROR_CODE_NOT_FOLLOW_TCP_CMD', + -2205: 'ERROR_CODE_NOT_ALL_AT_OP_STATE', + -2206: 'ERROR_CODE_OUT_RANGE_FEEDBACK', + -2207: 'ERROR_CODE_EMERGENCY_STOP', + -2208: 'ERROR_CODE_NO_INIT_PARAMETER', + -2209: 'ECODE_NOT_MATCH_LOAD', + -2210: 'ECODE_CANNOT_MOVE_WHILE_FREE_DRIVING', + -2211: 'ECODE_CANNOT_MOVE_WHILE_ZERO_SPACE_FREE_DRIVING', + -2212: 'ECODE_PASSTHROUGH_FIFO_OVERFLOW_UP_ERROR', + -2213: 'ECODE_PASSTHROUGH_FIFO_OVERFLOW_DOWN_ERROR', + -2214: 'ERROR_CODE_ROBOT_IN_VIRTUAL_WALL', + -2215: 'ERROR_CODE_CONFLICT_TASK_RUNNING', + -2301: 'ERROR_CODE_PLAN_ERROR', + -2302: 'ERROR_CODE_INTERPOLATE_ERROR', + -2303: 'ERROR_CODE_INTERPOLATE_TORQUE_ERROR', + -2304: 'ERROR_CODE_SINGULAR_VALUE_ERROR', + -3001: 'ERROR_CODE_RESOURCE_UNAVAILABLE', + -3002: 'ERROR_CODE_DUMP_LOG_TIMEOUT', + -3003: 'ERROR_CODE_DUMP_LOG_FAILED', + -3004: 'RESET_DH_FAILED', +} + +scriptLibraryNames = { + 'Linux': 'libDianaApi.so', + 'Windows': 'DianaApi.dll' +} + +# scriptLibraryDir = os.path.split(os.path.realpath(__file__))[0] +# scriptLibraryPath = os.path.join( +# scriptLibraryDir, scriptLibraryNames[platform.system()]) +# api_mod = None +cur_path = os.getcwd() +LIB_PATH = cur_path + "/lib/libDianaApi.so" +scriptLibraryPath=LIB_PATH +if sys.version_info < (3, 8): + api_mod = CDLL(scriptLibraryPath) +else: + api_mod = CDLL(scriptLibraryPath, winmode=0) + +# Enumration starts +# add Enumration here + +# api_mod = load_api(LIB_PATH) + + +class tcp_direction_e(Enum): + T_MOVE_X_UP = 0 + T_MOVE_X_DOWN = 1 + T_MOVE_Y_UP = 2 + T_MOVE_Y_DOWN = 3 + T_MOVE_Z_UP = 4 + T_MOVE_Z_DOWN = 5 + + +class mode_e(Enum): + T_MODE_INVALID = -1 + T_MODE_POSITION = 0 + T_MODE_JOINT_IMPEDANCE = 1 + T_MODE_CART_IMPEDANCE = 2 + + +class joint_direction_e(Enum): + T_MOVE_UP = 0 + T_MOVE_DOWN = 1 + + +class complex_path_type(Enum): + NORMAL_JOINT_PATH = 0 + MOVEP_JOINT_PATH = 1 + NORMAL_POSE_PATH = 2 + MOVEP_POSE_PATH = 3 + + +class coordinate_e(Enum): + E_BASE_COORDINATE = 0 + E_TOOL_COORDINATE = 1 + E_WORK_PIECE_COORDINATE = 2 + E_VIEW_COORDINATE = 3 + + +class collision_level(Enum): + E_NO_COLLISION_DETECTION = 0 + E_JOINT_SPACE_DETECTION = 1 + E_CART_SPACE_DETECTION = 2 + E_TCP_RESULTANT_DETECTION = 3 + + +class zero_space_move_direction(Enum): + E_FORWARD = 1 + E_BACKWARD = -1 + +# Enumeration ends + +# Structure starts +# add Structure here + + +class DIANA_JOINTS_POSITION(Structure): + pass + + +DIANA_JOINTS_POSITION._fields_ = [ + ('values', c_double*7) +] + + +class DIANA_JOINTS_FORCE(Structure): + pass + + +DIANA_JOINTS_FORCE._fields_ = [ + ('values', c_double*7) +] + + +class DIANA_TCP_POSE(Structure): + pass + + +DIANA_TCP_POSE._fields_ = [ + ('values', c_double * 6) +] + + +class DIANA_JOINTS_SPEED(Structure): + pass + + +DIANA_JOINTS_SPEED._fields_ = [ + ('values', c_double*7) +] + + +class DIANA_JOINTS_SPEED_L(Structure): + pass + + +DIANA_JOINTS_SPEED_L._fields_ = [ + ('values', c_double*6) +] + + +class DIANA_JOINTS_ACC(Structure): + pass + + +DIANA_JOINTS_ACC._fields_ = [ + ('values', c_double*2) +] + + +class DIANA_FRAME_MATRIX(Structure): + pass + + +DIANA_FRAME_MATRIX._fields_ = [ + ('values', c_double * 16) +] + + +class DIANA_FORCE_DIRECTION(Structure): + pass + + +DIANA_FORCE_DIRECTION._fields_ = [ + ('values', c_double * 3) +] + + +class SRV_NET_ST(Structure): + pass + + +SRV_NET_ST._fields_ = [ + ('ipAddress', c_char * 32), + ('SLocHeartbeatPortrvIp', c_ushort), + ('LocRobotStatePort', c_ushort), + ('LocSrvPort', c_ushort), + ('LocRealtimeSrvPort', c_ushort), + ('LocPassThroughSrvPort', c_ushort) +] + + +class DIANA_JOINT_ANGULAR_VEL(Structure): + pass + + +DIANA_JOINT_ANGULAR_VEL._fields_ = [ + ('values', c_double * 7) +] + + +class DIANA_JOINT_ACC(Structure): + pass + + +DIANA_JOINT_ACC._fields_ = [ + ('values', c_double * 7) +] + + +class DIANA_JOINT_CURRENT(Structure): + pass + + +DIANA_JOINT_CURRENT._fields_ = [ + ('values', c_double * 7) +] + + +class DIANA_JOINT_TORQUE(Structure): + pass + + +DIANA_JOINT_TORQUE._fields_ = [ + ('values', c_double * 7) +] + + +class DIANA_TCP_FORCE(Structure): + pass + + +DIANA_TCP_FORCE._fields_ = [ + ('values', c_double * 6) +] + + +class DIANA_DEFAULT_TCP(Structure): + pass + + +DIANA_DEFAULT_TCP._fields_ = [ + ('values', c_double * 16) +] + + +class DIANA_TCP_VECTOR(Structure): + pass + + +DIANA_TCP_VECTOR._fields_ = [ + ('values', c_double * 6) +] + + +class DIANA_RPY_VECTOR(Structure): + pass + + +DIANA_RPY_VECTOR._fields_ = [ + ('values', c_double * 3) +] + + +class DIANA_AXIS_VECTOR(Structure): + pass + + +DIANA_AXIS_VECTOR._fields_ = [ + ('values', c_double * 3) +] + + +class DIANA_JOINT_COLLISION(Structure): + pass + + +DIANA_JOINT_COLLISION._fields_ = [ + ('values', c_double * 7) +] + + +class DIANA_CART_COLLISION(Structure): + pass + + +DIANA_CART_COLLISION._fields_ = [ + ('values', c_double * 6) +] + + +class DIANA_JOINT_STIFF(Structure): + pass + + +DIANA_JOINT_STIFF._fields_ = [ + ('values', c_double * 7) +] + + +class DIANA_JOINT_DAMP(Structure): + pass + + +DIANA_JOINT_DAMP._fields_ = [ + ('values', c_double * 7) +] + + +class DIANA_CART_STIFF(Structure): + pass + + +DIANA_CART_STIFF._fields_ = [ + ('values', c_double * 6) +] + + +class DIANA_CART_DAMP(Structure): + pass + + +DIANA_CART_DAMP._fields_ = [ + ('values', c_double * 6) +] + + +class DIANA_TCP_PAYLOAD(Structure): + pass + + +DIANA_TCP_PAYLOAD._fields_ = [ + ('values', c_double * 10) +] + + +class StrTrajectoryState(Structure): + _pack_ = 1 + _fields_ = [ + ('taskId', c_int), + ('segCount', c_int), + ('segIndex', c_int), + ('errorCode', c_int), + ('isPaused', c_int), + ('isFreeDriving', c_int), + ('isZeroSpaceFreeDriving', c_int) + ] + + +class StrErrorInfo(Structure): + _pack_ = 1 + _fields_ = [ + ('errorId', c_int), + ('errorType', c_int), + ('errorCode', c_int), + ('errorMsg', c_char * 64) + ] + + +class StrRobotStateInfo(Structure): + _pack_ = 1 + _fields_ = [ + ('jointPos', c_double * 7), + ('jointAngularVel', c_double * 7), + ('jointCurrent', c_double * 7), + ('jointTorque', c_double * 7), + ('tcpPos', c_double * 6), + ('tcpExternalForce', c_double), + ('bCollision', c_bool), + ('bTcpForceValid', c_bool), + ('tcpForce', c_double * 6), + ('jointForce', c_double * 7), + ('trajState', StrTrajectoryState), + ('StrErrorInfo', StrErrorInfo) + ] + + +class DIANA_DH_A(Structure): + pass + + +DIANA_DH_A._fields_ = [ + ('values', c_double * 7) +] + + +class DIANA_DH_Alpha(Structure): + pass + + +DIANA_DH_Alpha._fields_ = [ + ('values', c_double * 7) +] + + +class DIANA_DH_D(Structure): + pass + + +DIANA_DH_D._fields_ = [ + ('values', c_double * 7) +] + + +class DIANA_DH_Theta(Structure): + pass + + +DIANA_DH_Theta._fields_ = [ + ('values', c_double * 7) +] + + +class DIANA_JACOBI_MATRIX(Structure): + pass + + +DIANA_JACOBI_MATRIX._fields_ = [ + ('values', c_double * 42) +] + + +class DIANA_DIGTAL_VALUE_ALL(Structure): + pass + + +DIANA_DIGTAL_VALUE_ALL._fields_ = [ + ('values', c_int * 8) +] + + +class DIANA_ANALOG_VALUE_ALL(Structure): + pass + + +DIANA_ANALOG_VALUE_ALL._fields_ = [ + ('values', c_double * 2) +] + + +class DIANA_ANALOG_MODE(Structure): + pass + + +DIANA_ANALOG_MODE._fields_ = [ + ('values', c_int * 2) +] + + +class DIANA_DH_TCP_MEAS(Structure): + pass + + +DIANA_DH_TCP_MEAS._fields_ = [ + ('values', c_double * 3) +] + + +class DIANA_DH_JOINT_POS__MEAS(Structure): + pass + + +DIANA_DH_JOINT_POS__MEAS._fields_ = [ + ('values', c_double * 7) +] + + +class DIANA_DH_R(Structure): + pass + + +DIANA_DH_R._fields_ = [ + ('values', c_double * 28) +] + + +class DIANA_DH_WRT(Structure): + pass + + +DIANA_DH_WRT._fields_ = [ + ('values', c_double * 6) +] + + +class DIANA_DH_TRT(Structure): + pass + + +DIANA_DH_TRT._fields_ = [ + ('values', c_double * 3) +] + + +class DIANA_DH_CONFID(Structure): + pass + + +DIANA_DH_CONFID._fields_ = [ + ('values', c_double * 2) +] + + +class DIANA_DH_RTw2b(Structure): + pass + + +DIANA_DH_RTw2b._fields_ = [ + ('values', c_double * 6) +] + + +class DIANA_DH_RTf2t(Structure): + pass + + +DIANA_DH_RTf2t._fields_ = [ + ('values', c_double * 3) +] + + +class DIANA_KP(Structure): + pass + + +DIANA_KP._fields_ = [ + ('values', c_double * 7) +] + + +class DIANA_KD(Structure): + pass + + +DIANA_KD._fields_ = [ + ('values', c_double * 7) +] + + +class DIANA_ACTIVE_TCP(Structure): + pass + + +DIANA_ACTIVE_TCP._fields_ = [ + ('values', c_double * 6) +] + +class DIANA_GRAV_INFO(Structure): + pass + + +DIANA_GRAV_INFO._fields_ = [ + ('values', c_double * 3) +] + +# Structure ends + + +# Callback function starts +# add callback function here +FNCERRORCALLBACK = CFUNCTYPE(None, c_int) + +FNCSTATECALLBACK = CFUNCTYPE(None, POINTER(StrRobotStateInfo)) +# Callback function ends + + +def message(ret): + if(ret >= 0): + return True + else: + errorcode = getLastError() + errorMessage = errorCodeMessage.get(errorcode) + callerName = 'function ' + sys._getframe().f_back.f_code.co_name + ' fails,' + if errorMessage == None: + print(callerName + 'Error Code ' + str(errorcode)) + else: + print(callerName + errorMessage) + return False + + +def wait_move(): + time.sleep(0.02) + while True: + state = getRobotState() + if state != 0: + break + else: + time.sleep(0.001) + stop() + + +def initSrv(srv_net_st, fnError=None, fnState=None): + pinfo = SRV_NET_ST() + strIpAddress = srv_net_st[0] + pinfo.ipAddress = bytes(strIpAddress.encode('utf-8')) + pinfo.SLocHeartbeatPortrvIp = srv_net_st[1] + pinfo.LocRobotStatePort = srv_net_st[2] + pinfo.LocSrvPort = srv_net_st[3] + pinfo.LocRealtimeSrvPort = srv_net_st[4] + pinfo.LocPassThroughSrvPort = srv_net_st[5] + api_mod.initSrv.argtypes = [FNCERRORCALLBACK, + FNCSTATECALLBACK, POINTER(SRV_NET_ST)] + api_mod.initSrv.restype = c_int + if fnError == None: + fnError = FNCERRORCALLBACK() + if fnState == None: + fnState = FNCSTATECALLBACK() + ret = api_mod.initSrv(fnError, fnState, byref(pinfo)) + return message(ret) + + +def destroySrv(ipAddress=''): + api_mod.destroySrv.argtypes = [c_char_p] + api_mod.destroySrv.restype = c_int + ret = api_mod.destroySrv(bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def setPushPeriod(period, ipAddress=''): + api_mod.setPushPeriod.argtypes = [c_int, c_char_p] + api_mod.setPushPeriod.restype = c_int + ret = api_mod.setPushPeriod(period, bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def moveTCP(d, v, a, ipAddress=''): + active_tcp = c_void_p(0) + api_mod.moveTCP.argtypes = [c_int, c_double, c_double, c_void_p, c_char_p] + api_mod.moveTCP.restype = c_int + ret = api_mod.moveTCP(d.value, v, a, active_tcp, + bytes(ipAddress.encode('utf-8'))) + return message(ret) + +def _MoveTCP(d, v, a, ipAddress=''): + active_tcp = c_void_p(0) + api_mod.moveTCP.argtypes = [c_int, c_double, c_double, c_void_p, c_char_p] + api_mod.moveTCP.restype = c_int + api_mod.moveTCP(d.value, v, a, active_tcp, + bytes(ipAddress.encode('utf-8'))) + # time.sleep(0.02) + + + + +def rotationTCP(d, v, a, ipAddress=''): + active_tcp = c_void_p(0) + api_mod.rotationTCP.argtypes = [ + c_int, c_double, c_double, c_void_p, c_char_p] + api_mod.rotationTCP.restype = c_int + ret = api_mod.rotationTCP( + d.value, v, a, active_tcp, bytes(ipAddress.encode('utf-8'))) + return message(ret) + +def _RotationTCP(d, v, a, ipAddress=''): + active_tcp = c_void_p(0) + api_mod.rotationTCP.argtypes = [ + c_int, c_double, c_double, c_void_p, c_char_p] + api_mod.rotationTCP.restype = c_int + ret = api_mod.rotationTCP( + d.value, v, a, active_tcp, bytes(ipAddress.encode('utf-8'))) + time.sleep(0.02) + while True: + state = getRobotState() + if state != 0: + break + else: + time.sleep(0.001) + stop() + + +def moveJoint(d, i, v, a, ipAddress=''): + api_mod.moveJoint.argtypes = [c_int, c_int, c_double, c_double, c_char_p] + api_mod.moveJoint.restype = c_int + ret = api_mod.moveJoint(d.value, i, v, a, bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def moveJToTarget(joints, v, a, ipAddress=''): + dianaJointPos = DIANA_JOINTS_POSITION() + dianaJointPos.values = (c_double * 7)() + for index in range(0, len(joints)): + dianaJointPos.values[index] = joints[index] + api_mod.moveJToTarget.argtypes = [ + POINTER(DIANA_JOINTS_POSITION), c_double, c_double, c_char_p] + api_mod.moveJToTarget.restype = c_int + ret = api_mod.moveJToTarget( + dianaJointPos, v, a, bytes(ipAddress.encode('utf-8'))) + print("ret = ",ret) + + return message(ret) + +def _MoveJoint(joints,v,a,ipAddress=''): + dianaJointPos = DIANA_JOINTS_POSITION() + dianaJointPos.values = (c_double * 7)() + for index in range(0, len(joints)): + dianaJointPos.values[index] = joints[index] + api_mod.moveJToTarget.argtypes = [ + POINTER(DIANA_JOINTS_POSITION), c_double, c_double, c_char_p] + api_mod.moveJToTarget.restype = c_int + api_mod.moveJToTarget( + dianaJointPos, v, a, bytes(ipAddress.encode('utf-8'))) + time.sleep(0.02) + while True: + state = getRobotState() + if state != 0: + break + else: + time.sleep(0.001) + # stop() + + +#This fonction is same as _MoveJoint, but its character is for just reading first 7 elements in the list +def _MoveJ(joints,v,a,ipAddress=''): + dianaJointPos = DIANA_JOINTS_POSITION() + dianaJointPos.values = (c_double * 7)() + for index in range(0, 7): + dianaJointPos.values[index] = joints[index] + api_mod.moveJToTarget.argtypes = [ + POINTER(DIANA_JOINTS_POSITION), c_double, c_double, c_char_p] + api_mod.moveJToTarget.restype = c_int + api_mod.moveJToTarget( + dianaJointPos, v, a, bytes(ipAddress.encode('utf-8'))) + time.sleep(0.02) + while True: + state = getRobotState() + if state != 0: + break + else: + time.sleep(0.001) + # stop() + +def _MovetoHome(v,a,ipAddress=''): + joints = [0, 0, 0, 0, 0, 0, 0] + print("let's go home ") + _MoveJoint(joints,v,a,ipAddress) + print("OK") + +def _MoveSpecificJoint(joint_value,joint_index,v,a,ipAddress=''): + jointsPosition = [] + dianaJointsPosition = DIANA_JOINTS_POSITION() + dianaJointsPosition.values = (c_double * 7)() + api_mod.getJointPos.argtypes = [POINTER(DIANA_JOINTS_POSITION), c_char_p] + api_mod.getJointPos.restype = c_int + api_mod.getJointPos( + byref(dianaJointsPosition), bytes(ipAddress.encode('utf-8'))) + for index in range(0, 7): + jointsPosition.append(dianaJointsPosition.values[index]) + jointsPosition[joint_index] = joint_value + dianaJointPos = DIANA_JOINTS_POSITION() + dianaJointPos.values = (c_double * 7)() + for index in range(0, 7): + dianaJointPos.values[index] = jointsPosition[index] + api_mod.moveJToTarget.argtypes = [ + POINTER(DIANA_JOINTS_POSITION), c_double, c_double, c_char_p] + api_mod.moveJToTarget.restype = c_int + api_mod.moveJToTarget( + dianaJointPos, v, a, bytes(ipAddress.encode('utf-8'))) + time.sleep(0.02) + while True: + state = getRobotState() + if state != 0: + break + else: + time.sleep(0.001) + stop() + + + +def moveJToPose(pose, v, a, ipAddress=''): + dianaTcpPose = DIANA_TCP_POSE() + dianaTcpPose.values = (c_double * 6)() + active_tcp = c_void_p(0) + for index in range(0, len(dianaTcpPose.values)): + dianaTcpPose.values[index] = pose[index] + api_mod.moveJToPose.argtypes = [ + POINTER(DIANA_TCP_POSE), c_double, c_double, c_void_p, c_char_p] + api_mod.moveJToPose.restype = c_int + ret = api_mod.moveJToPose( + dianaTcpPose, v, a, active_tcp, bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def moveLToTarget(joints, v, a, ipAddress=''): + dianaJointPos = DIANA_JOINTS_POSITION() + dianaJointPos.values = (c_double * 7)() + for index in range(0, len(joints)): + dianaJointPos.values[index] = joints[index] + api_mod.moveLToTarget.argtypes = [ + POINTER(DIANA_JOINTS_POSITION), c_double, c_double, c_char_p] + api_mod.moveLToTarget.restype = c_int + ret = api_mod.moveLToTarget( + dianaJointPos, v, a, bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def moveLToPose(pose, v, a, ipAddress=''): + dianaTcpPose = DIANA_TCP_POSE() + dianaTcpPose.values = (c_double * 6)() + active_tcp = c_void_p(0) + for index in range(0, len(dianaTcpPose.values)): + dianaTcpPose.values[index] = pose[index] + api_mod.moveLToPose.argtypes = [ + POINTER(DIANA_TCP_POSE), c_double, c_double, c_void_p, c_char_p] + api_mod.moveLToPose.restype = c_int + ret = api_mod.moveLToPose( + dianaTcpPose, v, a, active_tcp, bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def moveJ(joints, v, a, ipAddress=''): + ret = moveJToTarget(joints, v, a, ipAddress) + return message(ret) + + +def moveL(pose, v, a, ipAddress=''): + ret = moveLToPose(pose, v, a) + return message(ret) + + +def speedJ(speed, acc, t=0.0, ipAddress=''): + dianaJointsSpeed = DIANA_JOINTS_SPEED() + dianaJointsSpeed.values = (c_double * 7)() + for index in range(0, len(speed)): + dianaJointsSpeed.values[index] = speed[index] + api_mod.speedJ.argtypes = [ + POINTER(DIANA_JOINTS_SPEED), c_double, c_double, c_char_p] + api_mod.speedJ.restype = c_int + ret = api_mod.speedJ(dianaJointsSpeed, acc, t, + bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def speedL(speed, acc, t=0.0, ipAddress=''): + dianaJointsSpeed = DIANA_JOINTS_SPEED_L() + dianaJointsSpeed.values = (c_double * 6)() + for index in range(0, len(dianaJointsSpeed.values)): + dianaJointsSpeed.values[index] = speed[index] + dianaJointsAcc = DIANA_JOINTS_ACC() + dianaJointsAcc.values = (c_double * 2)() + for index in range(0, len(dianaJointsAcc.values)): + dianaJointsAcc.values[index] = acc[index] + active_tcp = c_void_p(0) + api_mod.speedL.argtypes = [POINTER(DIANA_JOINTS_SPEED_L), POINTER( + DIANA_JOINTS_ACC), c_double, c_void_p, c_char_p] + api_mod.speedL.restype = c_int + ret = api_mod.speedL(dianaJointsSpeed, dianaJointsAcc, + t, active_tcp, bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def freeDriving(enable, ipAddress=''): + api_mod.freeDriving.argtypes = [c_bool, c_char_p] + api_mod.freeDriving.restype = c_int + ret = api_mod.freeDriving(enable, bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def stop(ipAddress=''): + api_mod.stop.argtypes = [c_char_p] + api_mod.stop.restype = c_int + ret = api_mod.stop(bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def forward(joints, pose, ipAddress=''): + dianaJointsPosition = DIANA_JOINTS_POSITION() + dianaJointsPosition.values = (c_double * 7)() + for index in range(0, len(joints)): + dianaJointsPosition.values[index] = joints[index] + dianaTcpPose = DIANA_TCP_POSE() + dianaTcpPose.values = (c_double * 6)() + active_tcp = c_void_p(0) + api_mod.forward.argtypes = [ + POINTER(DIANA_JOINTS_POSITION), POINTER(DIANA_TCP_POSE), c_void_p, c_char_p] + api_mod.forward.restype = c_int + ret = api_mod.forward(dianaJointsPosition, byref( + dianaTcpPose), active_tcp, bytes(ipAddress.encode('utf-8'))) + for index in range(0, len(dianaTcpPose.values)): + pose[index] = dianaTcpPose.values[index] + return message(ret) + + +def inverse(pose, joints, ipAddress=''): + dianaTcpPose = DIANA_TCP_POSE() + dianaTcpPose.values = (c_double * 6)() + for index in range(0, len(dianaTcpPose.values)): + dianaTcpPose.values[index] = pose[index] + dianaJointsPosition = DIANA_JOINTS_POSITION() + dianaJointsPosition.values = (c_double * 7)() + active_tcp = c_void_p(0) + api_mod.inverse.argtypes = [POINTER(DIANA_TCP_POSE), POINTER( + DIANA_JOINTS_POSITION), c_void_p, c_char_p] + api_mod.inverse.restype = c_int + ret = api_mod.inverse(dianaTcpPose, byref( + dianaJointsPosition), active_tcp, bytes(ipAddress.encode('utf-8'))) + for index in range(0, len(joints)): + joints[index] = dianaJointsPosition.values[index] + return message(ret) + + + +def _Getinverse(pose,ipAddress=''): + joints = [0,0,0,0,0,0,0] + dianaTcpPose = DIANA_TCP_POSE() + dianaTcpPose.values = (c_double * 6)() + for index in range(0, len(dianaTcpPose.values)): + dianaTcpPose.values[index] = pose[index] + dianaJointsPosition = DIANA_JOINTS_POSITION() + dianaJointsPosition.values = (c_double * 7)() + active_tcp = c_void_p(0) + api_mod.inverse.argtypes = [POINTER(DIANA_TCP_POSE), POINTER( + DIANA_JOINTS_POSITION), c_void_p, c_char_p] + api_mod.inverse.restype = c_int + ret = api_mod.inverse(dianaTcpPose, byref( + dianaJointsPosition), active_tcp, bytes(ipAddress.encode('utf-8'))) + for index in range(0, 7): + joints[index] = dianaJointsPosition.values[index] + return joints + + + +def getJointPos(jointsPosition, ipAddress=''): + dianaJointsPosition = DIANA_JOINTS_POSITION() + dianaJointsPosition.values = (c_double * 7)() + api_mod.getJointPos.argtypes = [POINTER(DIANA_JOINTS_POSITION), c_char_p] + api_mod.getJointPos.restype = c_int + ret = api_mod.getJointPos( + byref(dianaJointsPosition), bytes(ipAddress.encode('utf-8'))) + for index in range(0, len(jointsPosition)): + jointsPosition[index] = dianaJointsPosition.values[index] + return message(ret) + + +def _GetJointPos(ipAddress=''): + jointsPosition = [] + dianaJointsPosition = DIANA_JOINTS_POSITION() + dianaJointsPosition.values = (c_double * 7)() + api_mod.getJointPos.argtypes = [POINTER(DIANA_JOINTS_POSITION), c_char_p] + api_mod.getJointPos.restype = c_int + ret = api_mod.getJointPos( + byref(dianaJointsPosition), bytes(ipAddress.encode('utf-8'))) + for index in range(0, 7): + jointsPosition.append(dianaJointsPosition.values[index]) + #return message(ret) + return jointsPosition + + + + +def getJointAngularVel(jointAngularVel, ipAddress=''): + dianaJointAngularVel = DIANA_JOINT_ANGULAR_VEL() + dianaJointAngularVel.values = (c_double * 7)() + api_mod.getJointAngularVel.argtypes = [ + POINTER(DIANA_JOINT_ANGULAR_VEL), c_char_p] + api_mod.getJointAngularVel.restype = c_int + ret = api_mod.getJointAngularVel( + byref(dianaJointAngularVel), bytes(ipAddress.encode('utf-8'))) + for index in range(0, len(jointAngularVel)): + jointAngularVel[index] = dianaJointAngularVel.values[index] + return message(ret) + + +def getJointCurrent(jointCurrent, ipAddress=''): + dianaJointCurrent = DIANA_JOINT_CURRENT() + dianaJointCurrent.values = (c_double*7)() + for index in range(0, len(jointCurrent)): + dianaJointCurrent.values[index] = jointCurrent[index] + api_mod.getJointCurrent.argtypes = [POINTER(DIANA_JOINT_CURRENT), c_char_p] + api_mod.getJointCurrent.restype = c_int + ret = api_mod.getJointCurrent( + byref(dianaJointCurrent), bytes(ipAddress.encode('utf-8'))) + for index in range(0, len(jointCurrent)): + jointCurrent[index] = dianaJointCurrent.values[index] + return message(ret) + + +def getJointTorque(jointTorque, ipAddress=''): + dianaJointTorque = DIANA_JOINT_TORQUE() + dianaJointTorque.values = (c_double*7)() + for index in range(0, len(jointTorque)): + dianaJointTorque.values[index] = jointTorque[index] + api_mod.getJointTorque.argtypes = [POINTER(DIANA_JOINT_TORQUE), c_char_p] + api_mod.getJointTorque.restype = c_int + ret = api_mod.getJointTorque( + byref(dianaJointTorque), bytes(ipAddress.encode('utf-8'))) + for index in range(0, len(jointTorque)): + jointTorque[index] = dianaJointTorque.values[index] + return message(ret) + + +def getTcpPos(tcpPose, ipAddress=''): + dianaTcpPose = DIANA_TCP_POSE() + dianaTcpPose.values = (c_double * 6)() + api_mod.getTcpPos.argtypes = [POINTER(DIANA_TCP_POSE), c_char_p] + api_mod.getTcpPos.restype = c_int + ret = api_mod.getTcpPos(byref(dianaTcpPose), + bytes(ipAddress.encode('utf-8'))) + for index in range(0, len(dianaTcpPose.values)): + tcpPose[index] = dianaTcpPose.values[index] + return message(ret) + + +def _GetTcpPos(ipAddress=''): + tcpPose = [0,0,0,0,0,0] + dianaTcpPose = DIANA_TCP_POSE() + dianaTcpPose.values = (c_double * 6)() + api_mod.getTcpPos.argtypes = [POINTER(DIANA_TCP_POSE), c_char_p] + api_mod.getTcpPos.restype = c_int + ret = api_mod.getTcpPos(byref(dianaTcpPose), + bytes(ipAddress.encode('utf-8'))) + for index in range(0, len(dianaTcpPose.values)): + tcpPose[index] = dianaTcpPose.values[index] + return tcpPose + + +def getTcpExternalForce(ipAddress=''): + api_mod.getTcpExternalForce.restype = c_double + ret = api_mod.getTcpExternalForce(bytes(ipAddress.encode('utf-8'))) + return ret + + +def releaseBrake(ipAddress=''): + api_mod.releaseBrake.argtypes = [c_char_p] + api_mod.releaseBrake.restype = c_int + ret = api_mod.releaseBrake(bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def holdBrake(ipAddress=''): + api_mod.holdBrake.argtypes = [c_char_p] + api_mod.holdBrake.restype = c_int + ret = api_mod.holdBrake(bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def changeControlMode(m, ipAddress=''): + api_mod.changeControlMode.argtypes = [c_int, c_char_p] + api_mod.changeControlMode.restype = c_int + ret = api_mod.changeControlMode(m.value, bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def getLibraryVersion(): + api_mod.getLibraryVersion.restype = c_uint + ret = api_mod.getLibraryVersion() + return ret + + +def formatError(e, ipAddress=''): + api_mod.formatError.argtypes = [c_int, c_char_p] + api_mod.formatError.restype = c_char_p + ret = api_mod.formatError(e, bytes(ipAddress.encode('utf-8'))) + return ret + + +def getLastError(ipAddress=''): + api_mod.getLastError.argtypes = [c_char_p] + api_mod.getLastError.restype = c_int + ret = api_mod.getLastError(bytes(ipAddress.encode('utf-8'))) + return ret + + +def setLastError(e, ipAddress=''): + api_mod.setLastError.argtypes = [c_int, c_char_p] + api_mod.setLastError.restype = c_int + ret = api_mod.setLastError(e, bytes(ipAddress.encode('utf-8'))) + return ret + + +def setDefaultActiveTcp(default_tcp, ipAddress=''): + defaultTcp = DIANA_DEFAULT_TCP() + defaultTcp.values = (c_double*16)() + for index in range(0, len(defaultTcp.values)): + defaultTcp.values[index] = default_tcp[index] + api_mod.setDefaultActiveTcp.argtypes = [ + POINTER(DIANA_DEFAULT_TCP), c_char_p] + api_mod.setDefaultActiveTcp.restype = c_int + ret = api_mod.setDefaultActiveTcp( + defaultTcp, bytes(ipAddress.encode('utf-8'))) + if(ret == 0): + print("setDefaultActiveTcp succeeds") + return True + else: + print("setDefaultActiveTcp fails") + return False + + +def getLinkState(ipAddress=''): + api_mod.getLinkState.argtypes = [c_char_p] + api_mod.getLinkState.restype = c_int + ret = api_mod.getLinkState(bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def getTcpForce(tcpForce, ipAddress=''): + dianaTcpForce = DIANA_TCP_FORCE() + dianaTcpForce.values = (c_double * 6)() + api_mod.getTcpForce.argtypes = [POINTER(DIANA_TCP_FORCE), c_char_p] + api_mod.getTcpForce.restype = c_int + ret = api_mod.getTcpForce(byref(dianaTcpForce), + bytes(ipAddress.encode('utf-8'))) + for index in range(0, len(dianaTcpForce.values)): + tcpForce[index] = dianaTcpForce.values[index] + return message(ret) + + +def getJointForce(jointForce, ipAddress=''): + dianaJointForce = DIANA_JOINTS_FORCE() + dianaJointForce.values = (c_double * 7)() + api_mod.getJointForce.argtypes = [POINTER(DIANA_JOINTS_FORCE), c_char_p] + api_mod.getJointForce.restype = c_int + ret = api_mod.getJointForce( + byref(dianaJointForce), bytes(ipAddress.encode('utf-8'))) + for index in range(0, len(jointForce)): + jointForce[index] = dianaJointForce.values[index] + return message(ret) + + +def isCollision(ipAddress=''): + api_mod.isCollision.argtypes = [c_char_p] + api_mod.isCollision.restype = c_bool + ret = api_mod.isCollision(bytes(ipAddress.encode('utf-8'))) + return ret + + +######################DH参数标定############################# + + +def initDHCali(tcpMeas, jntPosMeas, nrSets, ipAddress=''): + DHtcpMeas = DIANA_DH_TCP_MEAS() + DHtcpMeas.values = (c_double*3)() + DHjntPosMeas = DIANA_DH_JOINT_POS__MEAS() + DHjntPosMeas.values = (c_double*7)() + for index in range(0, len(DHtcpMeas.values)): + DHtcpMeas.values[index] = tcpMeas[index] + for index in range(0, len(DHjntPosMeas.values)): + DHjntPosMeas.values[index] = jntPosMeas[index] + api_mod.initDHCali.restype = c_int + api_mod.initDHCali.argtypes = [ + POINTER(DIANA_DH_TCP_MEAS), POINTER(DIANA_DH_JOINT_POS__MEAS), c_uint, c_char_p] + ret = api_mod.initDHCali(byref(DHtcpMeas), byref( + DHjntPosMeas), nrSets, bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def getDHCaliResult(rDH, wRT, tRT, confid, ipAddress=''): + dhR = DIANA_DH_R() + dhR.values = (c_double*28)() + rtW = DIANA_DH_WRT() + rtW.values = (c_double*6)() + rtT = DIANA_DH_TRT() + rtT.values = (c_double*3)() + dhConfid = DIANA_DH_CONFID() + dhConfid.values = (c_double*2)() + api_mod.getDHCaliResult.restype = c_int + api_mod.getDHCaliResult.argtypes = [POINTER(DIANA_DH_R), POINTER( + DIANA_DH_WRT), POINTER(DIANA_DH_TRT), POINTER(DIANA_DH_CONFID), c_char_p] + ret = api_mod.getDHCaliResult( + byref(dhR), byref(rtW), byref(rtT), byref(dhConfid), bytes(ipAddress.encode('utf-8'))) + for index in range(0, len(rDH)): + rDH[index] = dhR.values[index] + for index in range(0, len(wRT)): + wRT[index] = rtW.values[index] + for index in range(0, len(tRT)): + tRT[index] = rtT.values[index] + for index in range(0, len(confid)): + confid[index] = dhConfid.values[index] + return message(ret) +#_________________________________________________________________________________________# + + +def setDH(a, alpha, d, theta, ipAddress=''): + arr_aDH = DIANA_DH_A() + arr_aDH.values = (c_double*7)() + for index in range(0, len(a)): + arr_aDH.values[index] = a[index] + arr_alphaDH = DIANA_DH_Alpha() + arr_alphaDH.values = (c_double*7)() + for index in range(0, len(alpha)): + arr_alphaDH.values[index] = alpha[index] + arr_dDH = DIANA_DH_D() + arr_dDH.values = (c_double*7)() + for index in range(0, len(d)): + arr_dDH.values[index] = d[index] + arr_thetaDH = DIANA_DH_Theta() + arr_thetaDH.values = (c_double*7)() + for index in range(0, len(theta)): + arr_thetaDH.values[index] = theta[index] + api_mod.setDH.restype = c_int + api_mod.setDH.argtypes = [POINTER(DIANA_DH_A), + POINTER(DIANA_DH_Alpha), POINTER(DIANA_DH_D), POINTER(DIANA_DH_Theta), c_char_p] + ret = api_mod.setDH(byref(arr_aDH), byref(arr_alphaDH), + byref(arr_dDH), byref(arr_thetaDH), bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def setWrd2BasRT(RTw2b, ipAddress=''): + arr_RTw2b = DIANA_DH_RTw2b() + arr_RTw2b.values = (c_double*6)() + for index in range(0, len(RTw2b)): + arr_RTw2b.values[index] = RTw2b[index] + api_mod.setWrd2BasRT.restype = c_int + api_mod.setWrd2BasRT.argtypes = [POINTER(DIANA_DH_RTw2b), c_char_p] + ret = api_mod.setWrd2BasRT( + byref(arr_RTw2b), bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def setFla2TcpRT(RTf2t, ipAddress=''): + arr_RTf2t = DIANA_DH_RTf2t() + arr_RTf2t.values = (c_double*3)() + for index in range(0, len(RTf2t)): + arr_RTf2t.values[index] = RTf2t[index] + api_mod.setFla2TcpRT.restype = c_int + api_mod.setFla2TcpRT.argtypes = [POINTER(DIANA_DH_RTf2t), c_char_p] + ret = api_mod.setFla2TcpRT( + byref(arr_RTf2t), bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +######################################################### + + +def getRobotState(ipAddress=''): + api_mod.getRobotState.argtypes = [c_char_p] + api_mod.getRobotState.restype = c_int8 + ret = api_mod.getRobotState(bytes(ipAddress.encode('utf-8'))) + return ret + + +##########v2.0########################## + + +def resume(ipAddress=''): + api_mod.resume.argtypes = [c_char_p] + api_mod.resume.restype = c_int + ret = api_mod.resume(bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def setJointCollision(collision, ipAddress=''): + jointCollision = DIANA_JOINT_COLLISION() + jointCollision.values = (c_double*7)() + for index in range(0, len(collision)): + jointCollision.values[index] = collision[index] + api_mod.setJointCollision.argtypes = [ + POINTER(DIANA_JOINT_COLLISION), c_char_p] + api_mod.setJointCollision.restype = c_int + ret = api_mod.setJointCollision( + jointCollision, bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def setCartCollision(collision, ipAddress=''): + cartCollision = DIANA_CART_COLLISION() + cartCollision.values = (c_double*6)() + for index in range(0, len(cartCollision.values)): + cartCollision.values[index] = collision[index] + api_mod.setCartCollision.argtypes = [ + POINTER(DIANA_CART_COLLISION), c_char_p] + api_mod.setCartCollision.restype = c_int + ret = api_mod.setCartCollision( + cartCollision, bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def enterForceMode(frame_type, frame_matrix, force_direction, force_value, max_approach_velocity, max_allow_tcp_offset, ipAddress=''): + dianaFrameMatrix = DIANA_FRAME_MATRIX() + dianaFrameMatrix.values = (c_double * 16)() + for index in range(0, len(dianaFrameMatrix.values)): + dianaFrameMatrix.values[index] = frame_matrix[index] + dianaForceDirection = DIANA_FORCE_DIRECTION() + dianaForceDirection.values = (c_double * 3)() + for index in range(0, len(dianaForceDirection.values)): + dianaForceDirection.values[index] = force_direction[index] + api_mod.enterForceMode.argtypes = [c_int, POINTER(DIANA_FRAME_MATRIX), POINTER( + DIANA_FORCE_DIRECTION), c_double, c_double, c_double, c_char_p] + api_mod.enterForceMode.restype = c_int + ret = api_mod.enterForceMode(frame_type, byref(dianaFrameMatrix), byref( + dianaForceDirection), force_value, max_approach_velocity, max_allow_tcp_offset, bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def leaveForceMode(mode, ipAddress=''): + if not isinstance(mode, mode_e): + raise TypeError( + 'mode must be an instance of mode_e Enum') + api_mod.leaveForceMode.argtypes = [c_int, c_char_p] + api_mod.leaveForceMode.restype = c_int + ret = api_mod.leaveForceMode(mode.value, bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def setDefaultActiveTcpPose(arrPose, ipAddress=''): + tcpPose = DIANA_TCP_VECTOR() + tcpPose.values = (c_double*6)() + for index in range(0, len(tcpPose.values)): + tcpPose.values[index] = arrPose[index] + api_mod.setDefaultActiveTcpPose.argtypes = [ + POINTER(DIANA_TCP_VECTOR), c_char_p] + api_mod.setDefaultActiveTcpPose.restype = c_int + ret = api_mod.setDefaultActiveTcpPose( + tcpPose, bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def setResultantCollision(force, ipAddress=''): + api_mod.setResultantCollision.argtypes = [c_double, c_char_p] + api_mod.setResultantCollision.restype = c_int + ret = api_mod.setResultantCollision( + force, bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def setJointImpedance(arrStiff, arrDamp, ipAddress=''): + jointStiff = DIANA_JOINT_STIFF() + jointStiff.values = (c_double*7)() + for index in range(0, len(arrStiff)): + jointStiff.values[index] = arrStiff[index] + jointDamp = DIANA_JOINT_DAMP() + jointDamp.values = (c_double*7)() + for index in range(0, len(arrDamp)): + jointDamp.values[index] = arrDamp[index] + api_mod.setJointImpedance.argtypes = [ + POINTER(DIANA_JOINT_STIFF), POINTER(DIANA_JOINT_DAMP), c_char_p] + api_mod.setJointImpedance.restype = c_int + ret = api_mod.setJointImpedance( + jointStiff, jointDamp, bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def getJointImpedance(arrStiff, arrDamp, ipAddress=''): + jointStiff = DIANA_JOINT_STIFF() + jointStiff.values = (c_double*7)() + jointDamp = DIANA_JOINT_DAMP() + jointDamp.values = (c_double*7)() + api_mod.getJointImpedance.argtypes = [ + POINTER(DIANA_JOINT_STIFF), POINTER(DIANA_JOINT_DAMP), c_char_p] + api_mod.getJointImpedance.restype = c_int + ret = api_mod.getJointImpedance(byref(jointStiff), byref( + jointDamp), bytes(ipAddress.encode('utf-8'))) + for index in range(0, len(arrStiff)): + arrStiff[index] = jointStiff.values[index] + for index in range(0, len(arrDamp)): + arrDamp[index] = jointDamp.values[index] + return message(ret) + + +def setCartImpedance(arrStiff, arrDamp, ipAddress=''): + cartStiff = DIANA_CART_STIFF() + cartStiff.values = (c_double*6)() + for index in range(0, len(cartStiff.values)): + cartStiff.values[index] = arrStiff[index] + cartDamp = DIANA_CART_DAMP() + cartDamp.values = (c_double*6)() + for index in range(0, len(cartDamp.values)): + cartDamp.values[index] = arrDamp[index] + api_mod.setCartImpedance.argtypes = [ + POINTER(DIANA_CART_STIFF), POINTER(DIANA_CART_DAMP), c_char_p] + api_mod.setCartImpedance.restype = c_int + ret = api_mod.setCartImpedance( + cartStiff, cartDamp, bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def getCartImpedance(arrStiff, arrDamp, ipAddress=''): + cartStiff = DIANA_CART_STIFF() + cartStiff.values = (c_double*6)() + cartDamp = DIANA_CART_DAMP() + cartDamp.values = (c_double*6)() + api_mod.getCartImpedance.argtypes = [ + POINTER(DIANA_CART_STIFF), POINTER(DIANA_CART_DAMP), c_char_p] + api_mod.getCartImpedance.restype = c_int + ret = api_mod.getCartImpedance(byref(cartStiff), byref( + cartDamp), bytes(ipAddress.encode('utf-8'))) + for index in range(0, len(cartStiff.values)): + arrStiff[index] = cartStiff.values[index] + for index in range(0, len(cartDamp.values)): + arrDamp[index] = cartDamp.values[index] + return message(ret) + + +def zeroSpaceFreeDriving(enable, ipAddress=''): + api_mod.zeroSpaceFreeDriving.argtypes = [c_bool, c_char_p] + api_mod.zeroSpaceFreeDriving.restype = c_int + ret = api_mod.zeroSpaceFreeDriving( + enable, bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def createPath(id_type, ipAddress=''): + id_path = c_uint() + api_mod.createPath.argtypes = [c_int, POINTER(c_uint), c_char_p] + api_mod.createPath.restype = c_int + ret = api_mod.createPath(id_type, byref( + id_path), bytes(ipAddress.encode('utf-8'))) + return ret, id_path + + +def _CreatePathbyJoints(ipAddress=''): + id_path = c_uint() + api_mod.createPath.argtypes = [c_int, POINTER(c_uint), c_char_p] + api_mod.createPath.restype = c_int + ret = api_mod.createPath(1, byref(id_path), bytes(ipAddress.encode('utf-8'))) + return ret,id_path + +def _CreatePathbyPose(ipAddress=''): + id_path = c_uint() + api_mod.createPath.argtypes = [c_int, POINTER(c_uint), c_char_p] + api_mod.createPath.restype = c_int + ret = api_mod.createPath(2, byref(id_path), bytes(ipAddress.encode('utf-8'))) + return ret,id_path + + +def addMoveL(id_path, joints, vel, acc, blendradius, ipAddress=''): + dianaJointPos = DIANA_JOINTS_POSITION() + dianaJointPos.values = (c_double * 7)() + for index in range(0, len(joints)): + dianaJointPos.values[index] = joints[index] + api_mod.addMoveL.argtypes = [c_uint, POINTER( + DIANA_JOINTS_POSITION), c_double, c_double, c_double, c_char_p] + api_mod.addMoveL.restype = c_int + ret = api_mod.addMoveL(id_path, dianaJointPos, vel, + acc, blendradius, bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def addMoveJ(id_path, joints, vel, acc, blendradius, ipAddress=''): + dianaJointPos = DIANA_JOINTS_POSITION() + dianaJointPos.values = (c_double * 7)() + for index in range(0, len(joints)): + dianaJointPos.values[index] = joints[index] + api_mod.addMoveJ.argtypes = [c_uint, POINTER( + DIANA_JOINTS_POSITION), c_double, c_double, c_double, c_char_p] + api_mod.addMoveJ.restype = c_int + ret = api_mod.addMoveJ(id_path, dianaJointPos, vel, + acc, blendradius, bytes(ipAddress.encode('utf-8'))) + return message(ret) + +def _AddMoveJ(id_path, joints, vel, acc, blendradius, ipAddress=''): + dianaJointPos = DIANA_JOINTS_POSITION() + dianaJointPos.values = (c_double * 7)() + for index in range(0, 7): + dianaJointPos.values[index] = joints[index] + api_mod.addMoveJ.argtypes = [c_uint, POINTER( + DIANA_JOINTS_POSITION), c_double, c_double, c_double, c_char_p] + api_mod.addMoveJ.restype = c_int + ret = api_mod.addMoveJ(id_path, dianaJointPos, vel, + acc, blendradius, bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def _AddJoint(id_path, joints, vel, acc, blendradius, ipAddress=''): + dianaJointPos = DIANA_JOINTS_POSITION() + dianaJointPos.values = (c_double * 7)() + for index in range(0, len(joints)): + dianaJointPos.values[index] = joints[index] + api_mod.addMoveJ.argtypes = [c_uint, POINTER( + DIANA_JOINTS_POSITION), c_double, c_double, c_double, c_char_p] + api_mod.addMoveJ.restype = c_int + api_mod.addMoveJ(id_path, dianaJointPos, vel,acc, blendradius, bytes(ipAddress.encode('utf-8'))) + + + +def runPath(id_path, ipAddress=''): + api_mod.runPath.argtypes = [c_uint, c_char_p] + api_mod.runPath.restype = c_int + ret = api_mod.runPath(id_path, bytes(ipAddress.encode('utf-8'))) + return message(ret) + +def _ExecutePath(id_path, ipAddress=''): + api_mod.runPath.argtypes = [c_uint, c_char_p] + api_mod.runPath.restype = c_int + ret = api_mod.runPath(id_path, bytes(ipAddress.encode('utf-8'))) + time.sleep(0.02) + while True: + state = getRobotState() + if state != 0: + break + else: + time.sleep(0.001) + # stop() + return message(ret) + + +def destroyPath(id_path, ipAddress=''): + api_mod.destroyPath.argtypes = [c_uint, c_char_p] + api_mod.destroyPath.restype = c_int + ret = api_mod.destroyPath(id_path, bytes(ipAddress.encode('utf-8'))) + return message(ret) + +###################### version 0.7######################### + + +def rpy2Axis(arr): + _rpy = DIANA_RPY_VECTOR() + _rpy.values = (c_double*3)() + for index in range(0, len(_rpy.values)): + _rpy.values[index] = arr[index] + api_mod.rpy2Axis.argtypes = [POINTER(DIANA_RPY_VECTOR)] + api_mod.rpy2Axis.restype = c_int + ret = api_mod.rpy2Axis(byref(_rpy)) + for index in range(0, len(_rpy.values)): + arr[index] = _rpy.values[index] + return message(ret) + + +def axis2RPY(arr): + _axis = DIANA_AXIS_VECTOR() + _axis.values = (c_double*3)() + for index in range(0, len(_axis.values)): + _axis.values[index] = arr[index] + api_mod.axis2RPY.argtypes = [POINTER(DIANA_AXIS_VECTOR)] + api_mod.axis2RPY.restype = c_int + ret = api_mod.axis2RPY(byref(_axis)) + for index in range(0, len(_axis.values)): + arr[index] = _axis.values[index] + return message(ret) + + +def homogeneous2Pose(matrix, pose): + _matrix = DIANA_FRAME_MATRIX() + _matrix.values = (c_double*16)() + for index in range(0, len(_matrix.values)): + _matrix.values[index] = matrix[index] + _pose = DIANA_TCP_POSE() + _pose.values = (c_double*6)() + api_mod.homogeneous2Pose.argtypes = [ + POINTER(DIANA_FRAME_MATRIX), POINTER(DIANA_TCP_POSE)] + api_mod.homogeneous2Pose.restype = c_int + ret = api_mod.homogeneous2Pose(_matrix, byref(_pose)) + for index in range(0, len(_pose.values)): + pose[index] = _pose.values[index] + return message(ret) + + +def pose2Homogeneous(pose, matrix): + _pose = DIANA_TCP_POSE() + _pose.values = (c_double*6)() + for index in range(0, len(_pose.values)): + _pose.values[index] = pose[index] + _matrix = DIANA_FRAME_MATRIX() + _matrix.values = (c_double*16)() + api_mod.pose2Homogeneous.argtypes = [ + POINTER(DIANA_TCP_POSE), POINTER(DIANA_FRAME_MATRIX)] + api_mod.pose2Homogeneous.restype = c_int + ret = api_mod.pose2Homogeneous(_pose, byref(_matrix)) + for index in range(0, len(_matrix.values)): + matrix[index] = _matrix.values[index] + return message(ret) + + +def enableTorqueReceiver(bEnable, ipAddress=''): + api_mod.enableTorqueReceiver.restype = c_int + api_mod.enableTorqueReceiver.argtypes = [c_bool, c_char_p] + ret = api_mod.enableTorqueReceiver( + bEnable, bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def sendTorque_rt(torque, t, ipAddress=''): + jnt_torque = DIANA_JOINT_TORQUE() + jnt_torque.values = (c_double*7)() + for index in range(0, len(torque)): + jnt_torque.values[index] = torque[index] + api_mod.sendTorque_rt.restype = c_int + api_mod.sendTorque_rt.argtypes = [ + POINTER(DIANA_JOINT_TORQUE), c_double, c_char_p] + ret = api_mod.sendTorque_rt( + byref(jnt_torque), t, bytes(ipAddress.encode('utf-8'))) + return message(ret) + +###################### their version 0.8######################### + + +def enableCollisionDetection(enable, ipAddress=''): + api_mod.enableCollisionDetection.argtypes = [c_bool, c_char_p] + api_mod.enableCollisionDetection.restype = c_int + ret = api_mod.enableCollisionDetection( + enable, bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def setActiveTcpPayload(payload, ipAddress=''): + tcpPayload = DIANA_TCP_PAYLOAD() + tcpPayload.values = (c_double*10)() + for index in range(0, len(tcpPayload.values)): + tcpPayload.values[index] = payload[index] + api_mod.setActiveTcpPayload.argtypes = [ + POINTER(DIANA_TCP_PAYLOAD), c_char_p] + api_mod.setActiveTcpPayload.restype = c_int + ret = api_mod.setActiveTcpPayload( + tcpPayload, bytes(ipAddress.encode('utf-8'))) + return message(ret) + +def servoJ(joints_pos, t=0.01, ah_t=0.01, gain=300, ipAddress=''): + dianaJointsPosition = DIANA_JOINTS_POSITION() + dianaJointsPosition.values = (c_double * 7)() + for index in range(0, len(joints_pos)): + dianaJointsPosition.values[index] = joints_pos[index] + api_mod.servoJ.argtypes = [ + POINTER(DIANA_JOINTS_POSITION), c_double, c_double, c_double, c_char_p] + api_mod.servoJ.restype = c_int + ret = api_mod.servoJ(dianaJointsPosition, t, ah_t, + gain, bytes(ipAddress.encode('utf-8'))) + return message(ret) + +def _ServoJ(joints_pos, t=0.01, ah_t=0.01, gain=300, ipAddress=''): + dianaJointsPosition = DIANA_JOINTS_POSITION() + dianaJointsPosition.values = (c_double * 7)() + for index in range(0, len(joints_pos)): + dianaJointsPosition.values[index] = joints_pos[index] + api_mod.servoJ.argtypes = [ + POINTER(DIANA_JOINTS_POSITION), c_double, c_double, c_double, c_char_p] + api_mod.servoJ.restype = c_int + ret = api_mod.servoJ(dianaJointsPosition, t, ah_t, + gain, bytes(ipAddress.encode('utf-8'))) + time.sleep(0.01) + while True: + state = getRobotState() + if state != 0: + break + else: + time.sleep(0.001) + stop() + return message(ret) + + +def servoL(tcp_pose, t=0.01, ah_t=0.01, gain=300, scale=1000, ipAddress=''): + dianaTcpPose = DIANA_TCP_POSE() + dianaTcpPose.values = (c_double * 6)() + for index in range(0, len(dianaTcpPose.values)): + dianaTcpPose.values[index] = tcp_pose[index] + active_tcp = c_void_p(0) + api_mod.servoL.argtypes = [ + POINTER(DIANA_TCP_POSE), c_double, c_double, c_double, c_double, c_void_p, c_char_p] + api_mod.servoL.restype = c_int + ret = api_mod.servoL(dianaTcpPose, t, ah_t, gain, scale, + active_tcp, bytes(ipAddress.encode('utf-8'))) + return message(ret) + +def _servoL(tcp_pose, t=0.01, ah_t=0.03, gain=300, scale=1, ipAddress=''): + dianaTcpPose = DIANA_TCP_POSE() + dianaTcpPose.values = (c_double * 6)() + for index in range(0, len(dianaTcpPose.values)): + dianaTcpPose.values[index] = tcp_pose[index] + active_tcp = c_void_p(0) + api_mod.servoL.argtypes = [ + POINTER(DIANA_TCP_POSE), c_double, c_double, c_double, c_double, c_void_p, c_char_p] + api_mod.servoL.restype = c_int + ret = api_mod.servoL(dianaTcpPose, t, ah_t, gain, scale, + active_tcp, bytes(ipAddress.encode('utf-8'))) + time.sleep(0.02) + while True: + state = getRobotState() + if state != 0: + break + else: + time.sleep(0.1) + # stop() + return message(ret) + + +def servoJ_ex(joints_pos, t=0.01, ah_t=0.01, gain=300, realiable=False, ipAddress=''): + dianaJointsPosition = DIANA_JOINTS_POSITION() + dianaJointsPosition.values = (c_double * 7)() + for index in range(0, len(joints_pos)): + dianaJointsPosition.values[index] = joints_pos[index] + api_mod.servoJ_ex.argtypes = [ + POINTER(DIANA_JOINTS_POSITION), c_double, c_double, c_double, c_bool, c_char_p] + api_mod.servoJ_ex.restype = c_int + ret = api_mod.servoJ_ex(dianaJointsPosition, t, ah_t, + gain, realiable, bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def servoL_ex(tcp_pose, t=0.01, ah_t=0.01, gain=300, scale=1000, realiable=False, ipAddress=''): + dianaTcpPose = DIANA_TCP_POSE() + dianaTcpPose.values = (c_double * 6)() + for index in range(0, len(dianaTcpPose.values)): + dianaTcpPose.values[index] = tcp_pose[index] + active_tcp = c_void_p(0) + api_mod.servoL_ex.argtypes = [POINTER( + DIANA_TCP_POSE), c_double, c_double, c_double, c_double, c_void_p, c_bool, c_char_p] + api_mod.servoL_ex.restype = c_int + ret = api_mod.servoL_ex(dianaTcpPose, t, ah_t, gain, + scale, active_tcp, realiable, bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def speedJ_ex(speed, acc, t=0.0, realiable=False, ipAddress=''): + dianaJointsSpeed = DIANA_JOINTS_SPEED() + dianaJointsSpeed.values = (c_double * 7)() + for index in range(0, len(speed)): + dianaJointsSpeed.values[index] = speed[index] + api_mod.speedJ_ex.argtypes = [ + POINTER(DIANA_JOINTS_SPEED), c_double, c_double, c_bool, c_char_p] + api_mod.speedJ_ex.restype = c_int + ret = api_mod.speedJ_ex(dianaJointsSpeed, acc, t, + realiable, bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def speedL_ex(speed, acc, t=0.0, realiable=False, ipAddress=''): + dianaJointsSpeed = DIANA_JOINTS_SPEED_L() + dianaJointsSpeed.values = (c_double * 6)() + for index in range(0, len(dianaJointsSpeed.values)): + dianaJointsSpeed.values[index] = speed[index] + dianaJointsAcc = DIANA_JOINTS_ACC() + dianaJointsAcc.values = (c_double * 2)() + for index in range(0, len(dianaJointsAcc.values)): + dianaJointsAcc.values[index] = acc[index] + active_tcp = c_void_p(0) + api_mod.speedL_ex.argtypes = [POINTER(DIANA_JOINTS_SPEED_L), POINTER( + DIANA_JOINTS_ACC), c_double, c_void_p, c_bool, c_char_p] + api_mod.speedL_ex.restype = c_int + ret = api_mod.speedL_ex(dianaJointsSpeed, dianaJointsAcc, + t, active_tcp, realiable, bytes(ipAddress.encode('utf-8'))) + return message(ret) + +###################### version 0.9######################### + + +def dumpToUDisk(ipAddress=''): + api_mod.dumpToUDisk.argtypes = [c_char_p] + api_mod.dumpToUDisk.restype = c_int + ret = api_mod.dumpToUDisk(bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def inverse_ext(ref_joints, pose, joints, ipAddress=''): + refJointsPosition = DIANA_JOINTS_POSITION() + refJointsPosition.values = (c_double * 7)() + for index in range(0, len(ref_joints)): + refJointsPosition.values[index] = ref_joints[index] + dianaTcpPose = DIANA_TCP_POSE() + dianaTcpPose.values = (c_double * 6)() + for index in range(0, len(dianaTcpPose.values)): + dianaTcpPose.values[index] = pose[index] + dianaJointsPosition = DIANA_JOINTS_POSITION() + dianaJointsPosition.values = (c_double * 7)() + active_tcp = c_void_p(0) + api_mod.inverse_ext.argtypes = [POINTER(DIANA_JOINTS_POSITION), POINTER(DIANA_TCP_POSE), POINTER( + DIANA_JOINTS_POSITION), c_void_p, c_char_p] + api_mod.inverse_ext.restype = c_int + ret = api_mod.inverse_ext(refJointsPosition, dianaTcpPose, + byref(dianaJointsPosition), active_tcp, bytes(ipAddress.encode('utf-8'))) + for index in range(0, len(joints)): + joints[index] = dianaJointsPosition.values[index] + return message(ret) + + +def getJointLinkPos(joints, ipAddress=''): + dianaJointPos = DIANA_JOINTS_POSITION() + dianaJointPos.values = (c_double*7)() + for index in range(0, len(joints)): + dianaJointPos.values[index] = joints[index] + api_mod.getJointLinkPos.argtypes = [ + POINTER(DIANA_JOINTS_POSITION), c_char_p] + api_mod.getJointLinkPos.restype = c_int + ret = api_mod.getJointLinkPos( + byref(dianaJointPos), bytes(ipAddress.encode('utf-8'))) + for index in range(0, len(joints)): + joints[index] = dianaJointPos.values[index] + return message(ret) + + +def createComplexPath(path_type, ipAddress=''): + complex_path_id = c_uint() + api_mod.createComplexPath.argtypes = [c_int, POINTER(c_uint), c_char_p] + api_mod.createComplexPath.restype = c_int + ret = api_mod.createComplexPath(path_type.value, byref( + complex_path_id), bytes(ipAddress.encode('utf-8'))) + return ret, complex_path_id + + +def addMoveLSegmentByTarget(complex_path_id, joints, vel, acc, blendradius, ipAddress=''): + dianaJointPos = DIANA_JOINTS_POSITION() + dianaJointPos.values = (c_double * 7)() + for index in range(0, len(joints)): + dianaJointPos.values[index] = joints[index] + api_mod.addMoveLByTarget.argtypes = [c_uint, POINTER( + DIANA_JOINTS_POSITION), c_double, c_double, c_double, c_char_p] + api_mod.addMoveLByTarget.restype = c_int + ret = api_mod.addMoveLByTarget( + complex_path_id, dianaJointPos, vel, acc, blendradius, bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def addMoveLSegmentByPose(complex_path_id, pose, vel, acc, blendradius, ipAddress=''): + dianaTcpPose = DIANA_TCP_POSE() + dianaTcpPose.values = (c_double * 6)() + for index in range(0, len(dianaTcpPose.values)): + dianaTcpPose.values[index] = pose[index] + api_mod.addMoveLByPose.argtypes = [c_uint, POINTER( + DIANA_TCP_POSE), c_double, c_double, c_double, c_char_p] + api_mod.addMoveLByPose.restype = c_int + ret = api_mod.addMoveLByPose( + complex_path_id, dianaTcpPose, vel, acc, blendradius, bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def addMoveJSegmentByTarget(complex_path_id, joints, vel_percent, acc_percent, blendradius_percent, ipAddress=''): + dianaJointPos = DIANA_JOINTS_POSITION() + dianaJointPos.values = (c_double * 7)() + for index in range(0, len(joints)): + dianaJointPos.values[index] = joints[index] + api_mod.addMoveJByTarget.argtypes = [c_uint, POINTER( + DIANA_JOINTS_POSITION), c_double, c_double, c_double, c_char_p] + api_mod.addMoveJByTarget.restype = c_int + ret = api_mod.addMoveJByTarget( + complex_path_id, dianaJointPos, vel_percent, acc_percent, blendradius_percent, bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def addMoveJSegmentByPose(complex_path_id, pose, vel_percent, acc_percent, blendradius_percent, ipAddress=''): + dianaTcpPose = DIANA_TCP_POSE() + dianaTcpPose.values = (c_double * 6)() + for index in range(0, len(dianaTcpPose.values)): + dianaTcpPose.values[index] = pose[index] + api_mod.addMoveJByPose.argtypes = [c_uint, POINTER( + DIANA_TCP_POSE), c_double, c_double, c_double, c_char_p] + api_mod.addMoveJByPose.restype = c_int + ret = api_mod.addMoveJByPose( + complex_path_id, dianaTcpPose, vel_percent, acc_percent, blendradius_percent, bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def addMoveCSegmentByTarget(complex_path_id, pass_joints, target_joints, vel, acc, blendradius, ignore_rotation, ipAddress=''): + dianaPassJointPos = DIANA_JOINTS_POSITION() + dianaPassJointPos.values = (c_double * 7)() + dianaTargetJointPos = DIANA_JOINTS_POSITION() + dianaTargetJointPos.values = (c_double * 7)() + for index in range(0, len(pass_joints)): + dianaPassJointPos.values[index] = pass_joints[index] + for index in range(0, len(target_joints)): + dianaTargetJointPos.values[index] = target_joints[index] + api_mod.addMoveCByTarget.argtypes = [c_uint, POINTER(DIANA_JOINTS_POSITION), POINTER( + DIANA_JOINTS_POSITION), c_double, c_double, c_double, c_bool, c_char_p] + api_mod.addMoveCByTarget.restype = c_int + ret = api_mod.addMoveCByTarget(complex_path_id, dianaPassJointPos, + dianaTargetJointPos, vel, acc, blendradius, ignore_rotation, bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def addMoveCSegmentByPose(complex_path_id, pass_pose, target_pose, vel, acc, blendradius, ignore_rotation, ipAddress=''): + dianaPassTcpPose = DIANA_TCP_POSE() + dianaPassTcpPose.values = (c_double * 6)() + dianaTargetTcpPose = DIANA_TCP_POSE() + dianaTargetTcpPose.values = (c_double * 6)() + for index in range(0, len(dianaPassTcpPose.values)): + dianaPassTcpPose.values[index] = pass_pose[index] + for index in range(0, len(dianaTargetTcpPose.values)): + dianaTargetTcpPose.values[index] = target_pose[index] + api_mod.addMoveCByPose.argtypes = [c_uint, POINTER(DIANA_TCP_POSE), POINTER( + DIANA_TCP_POSE), c_double, c_double, c_double, c_bool, c_char_p] + api_mod.addMoveCByPose.restype = c_int + ret = api_mod.addMoveCByPose(complex_path_id, dianaPassTcpPose, + dianaTargetTcpPose, vel, acc, blendradius, ignore_rotation, bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def runComplexPath(complex_path_id, ipAddress=''): + api_mod.runComplexPath.argtypes = [c_uint, c_char_p] + api_mod.runComplexPath.restype = c_int + ret = api_mod.runComplexPath( + complex_path_id, bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def destroyComplexPath(complex_path_id, ipAddress=''): + api_mod.destroyComplexPath.argtypes = [c_uint, c_char_p] + api_mod.destroyComplexPath.restype = c_int + ret = api_mod.destroyComplexPath(complex_path_id, bytes( + ipAddress.encode('utf-8')), bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def saveEnvironment(ipAddress=''): + api_mod.saveEnvironment.argtypes = [c_char_p] + api_mod.saveEnvironment.restype = c_int + ret = api_mod.saveEnvironment(bytes(ipAddress.encode('utf-8'))) + return message(ret) + +###################### version 0.10######################### + + +def dumpToUDiskEx(timeout_second, ipAddress=''): + api_mod.dumpToUDiskEx.restype = c_int + api_mod.dumpToUDiskEx.argtypes = [c_double, c_char_p] + ret = api_mod.dumpToUDiskEx( + timeout_second, bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def enterForceMode_ex(forceDirection, forceValue, maxApproachVelocity, maxAllowTcpOffset, active_tcp=None, ipAddress=''): + arr_ForceDirection = DIANA_FORCE_DIRECTION() + arr_ForceDirection.values = (c_double*3)() + for index in range(0, len(arr_ForceDirection.values)): + arr_ForceDirection.values[index] = forceDirection[index] + ret = 0 + if active_tcp==None: + use_active_tcp = c_void_p(0) + api_mod.enterForceMode_ex.restype = c_int + api_mod.enterForceMode_ex.argtypes = [POINTER( + DIANA_FORCE_DIRECTION), c_double, c_double, c_double, c_void_p, c_char_p] + ret = api_mod.enterForceMode_ex(byref( + arr_ForceDirection), forceValue, maxApproachVelocity, maxAllowTcpOffset, use_active_tcp, bytes(ipAddress.encode('utf-8'))) + else: + arr_Active_Tcp = DIANA_ACTIVE_TCP() + arr_Active_Tcp.values = (c_double*6)() + for index in range(0, len(arr_Active_Tcp.values)): + arr_Active_Tcp.values[index] = active_tcp[index] + api_mod.enterForceMode_ex.restype = c_int + api_mod.enterForceMode_ex.argtypes = [POINTER( + DIANA_FORCE_DIRECTION), c_double, c_double, c_double, POINTER(DIANA_ACTIVE_TCP), c_char_p] + ret = api_mod.enterForceMode_ex(byref( + arr_ForceDirection), forceValue, maxApproachVelocity, maxAllowTcpOffset, byref(arr_Active_Tcp), bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def readDI(group_name, di_name, ipAddress=''): + DIValue = c_int() + api_mod.readDI.argtypes = [c_char_p, c_char_p, POINTER(c_int), c_char_p] + api_mod.readDI.restype = c_int + ret = api_mod.readDI(bytes(group_name, encoding="utf-8"), + bytes(di_name, encoding="utf-8"), byref(DIValue), bytes(ipAddress.encode('utf-8'))) + return ret, DIValue + + +def readAI(group_name, di_name, ipAddress=''): + AIValue = c_double() + AIMode = c_int() + api_mod.readAI.argtypes = [c_char_p, c_char_p, + POINTER(c_int), POINTER(c_double), c_char_p] + api_mod.readAI.restype = c_int + ret = api_mod.readAI(bytes(group_name, encoding="utf-8"), + bytes(di_name, encoding="utf-8"), byref(AIMode), byref(AIValue), bytes(ipAddress.encode('utf-8'))) + return ret, AIMode, AIValue + + +def setAIMode(group_name, di_name, mode, ipAddress=''): + api_mod.setAIMode.argtypes = [c_char_p, c_char_p, c_int, c_char_p] + api_mod.setAIMode.restype = c_int + ret = api_mod.setAIMode( + bytes(group_name, encoding="utf-8"), bytes(di_name, encoding="utf-8"), mode, bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def writeDO(group_name, di_name, value, ipAddress=''): + api_mod.writeDO.argtypes = [c_char_p, c_char_p, c_int, c_char_p] + api_mod.writeDO.restype = c_int + ret = api_mod.writeDO(bytes(group_name, encoding="utf-8"), + bytes(di_name, encoding="utf-8"), value, bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def writeAO(group_name, di_name, mode, value, ipAddress=''): + api_mod.writeAO.argtypes = [c_char_p, c_char_p, c_int, c_double, c_char_p] + api_mod.writeAO.restype = c_int + ret = api_mod.writeAO(bytes(group_name, encoding="utf-8"), + bytes(di_name, encoding="utf-8"), mode, value, bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def readBusCurrent(ipAddress=''): + Current = c_double() + api_mod.readBusCurrent.argtypes = [POINTER(c_double), c_char_p] + api_mod.readBusCurrent.restype = c_int + ret = api_mod.readBusCurrent(byref(Current), bytes(ipAddress.encode('utf-8'))) + return ret, Current + + +def readBusVoltage(ipAddress=''): + Voltage = c_double() + api_mod.readBusVoltage.argtypes = [POINTER(c_double), c_char_p] + api_mod.readBusVoltage.restype = c_int + ret = api_mod.readBusVoltage(byref(Voltage), bytes(ipAddress.encode('utf-8'))) + return ret, Voltage + +###################### version 1.10######################### + + +def getDH(aDH, alphaDH, dDH, thetaDH, ipAddress=''): + arr_aDH = DIANA_DH_A() + arr_aDH.values = (c_double*7)() + arr_alphaDH = DIANA_DH_Alpha() + arr_alphaDH.values = (c_double*7)() + arr_dDH = DIANA_DH_D() + arr_dDH.values = (c_double*7)() + arr_thetaDH = DIANA_DH_Theta() + arr_thetaDH.values = (c_double*7)() + api_mod.getDH.restype = c_int + api_mod.getDH.argtypes = [POINTER(DIANA_DH_A), + POINTER(DIANA_DH_Alpha), POINTER(DIANA_DH_D), POINTER(DIANA_DH_Theta), c_char_p] + ret = api_mod.getDH(byref(arr_aDH), byref(arr_alphaDH), + byref(arr_dDH), byref(arr_thetaDH), bytes(ipAddress.encode('utf-8'))) + for index in range(0, len(aDH)): + aDH[index] = arr_aDH.values[index] + for index in range(0, len(alphaDH)): + alphaDH[index] = arr_alphaDH.values[index] + for index in range(0, len(dDH)): + dDH[index] = arr_dDH.values[index] + for index in range(0, len(thetaDH)): + thetaDH[index] = arr_thetaDH.values[index] + return message(ret) + + +def getOriginalJointTorque(torques, ipAddress=''): + jointTorque = DIANA_JOINT_TORQUE() + jointTorque.values = (c_double*7)() + api_mod.getOriginalJointTorque.restype = c_int + api_mod.getOriginalJointTorque.argtypes = [ + POINTER(DIANA_JOINT_TORQUE), c_char_p] + ret = api_mod.getOriginalJointTorque( + byref(jointTorque), bytes(ipAddress.encode('utf-8'))) + for index in range(0, len(torques)): + torques[index] = jointTorque.values[index] + return message(ret) + + +def getJacobiMatrix(matrix_jacobi, ipAddress=''): + jacobi_matrix = DIANA_JACOBI_MATRIX() + jacobi_matrix.values = (c_double*42)() + api_mod.getJacobiMatrix.restype = c_int + api_mod.getJacobiMatrix.argtypes = [POINTER(DIANA_JACOBI_MATRIX), c_char_p] + ret = api_mod.getJacobiMatrix( + byref(jacobi_matrix), bytes(ipAddress.encode('utf-8'))) + for index in range(0, len(matrix_jacobi)): + matrix_jacobi[index] = jacobi_matrix.values[index] + return message(ret) + +###################### version 1.20######################### + + +def resetDH(ipAddress=''): + api_mod.resetDH.argtypes = [c_char_p] + api_mod.resetDH.restype = c_int + ret = api_mod.resetDH(bytes(ipAddress.encode('utf-8'))) + return message(ret) + +###################### version 1.30######################### + + +def runProgram(name, ipAddress=''): + api_mod.runProgram.argtypes = [c_char_p, c_char_p] + api_mod.runProgram.restype = c_int + ret = api_mod.runProgram( + bytes(name, encoding="utf-8"), bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def stopProgram(name, ipAddress=''): + api_mod.stopProgram.argtypes = [c_char_p, c_char_p] + api_mod.stopProgram.restype = c_int + ret = api_mod.stopProgram( + bytes(name, encoding="utf-8"), bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def getVariableValue(name, ipAddress=''): + api_mod.getVariableValue.argtypes = [c_char_p, POINTER(c_double), c_char_p] + api_mod.getVariableValue.restype = c_int + value = c_double() + ret = api_mod.getVariableValue( + bytes(name, encoding="utf-8"), byref(value), bytes(ipAddress.encode('utf-8'))) + return message(ret), value.value + + +def setVariableValue(name, value, ipAddress=''): + val = c_double(value) + api_mod.setVariableValue.argtypes = [c_char_p, POINTER(c_double), c_char_p] + api_mod.setVariableValue.restype = c_int + ret = api_mod.setVariableValue( + bytes(name, encoding="utf-8"), byref(val), bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def isTaskRunning(name, ipAddress=''): + api_mod.isTaskRunning.argtypes = [c_char_p, c_char_p] + api_mod.isTaskRunning.restype = c_int + ret = api_mod.isTaskRunning( + bytes(name, encoding="utf-8"), bytes(ipAddress.encode('utf-8'))) + if(ret >= 0): + return True + if(ret== -1): + return False + else: + errorcode = getLastError() + errorMessage = errorCodeMessage.get(errorcode) + callerName = 'function ' + sys._getframe().f_back.f_code.co_name + ' fails,' + if errorMessage == None: + print(callerName + 'Error Code ' + str(errorcode)) + else: + print(callerName + errorMessage) + return False + + +def pauseProgram(ipAddress=''): + api_mod.stopProgram.argtypes = [c_char_p] + api_mod.pauseProgram.restype = c_int + ret = api_mod.pauseProgram(bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def resumeProgram(ipAddress=''): + api_mod.resumeProgram.argtypes = [c_char_p] + api_mod.resumeProgram.restype = c_int + ret = api_mod.resumeProgram(bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def stopAllProgram(ipAddress=''): + api_mod.stopAllProgram.argtypes = [c_char_p] + api_mod.stopAllProgram.restype = c_int + ret = api_mod.stopAllProgram(bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def isAnyTaskRunning(ipAddress=''): + api_mod.isAnyTaskRunning.argtypes = [c_char_p] + api_mod.isAnyTaskRunning.restype = c_int + ret = api_mod.isAnyTaskRunning(bytes(ipAddress.encode('utf-8'))) + if(ret >= 0): + return True + if(ret== -1): + return False + else: + errorcode = getLastError() + errorMessage = errorCodeMessage.get(errorcode) + callerName = 'function ' + sys._getframe().f_back.f_code.co_name + ' fails,' + if errorMessage == None: + print(callerName + 'Error Code ' + str(errorcode)) + else: + print(callerName + errorMessage) + return False + +###################### version 1.40######################### + + +def cleanErrorInfo(ipAddress=''): + api_mod.cleanErrorInfo.argtypes = [c_char_p] + api_mod.cleanErrorInfo.restype = c_int + ret = api_mod.cleanErrorInfo(bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def setCollisionLevel(level, ipAddress=''): + if not isinstance(level, collision_level): + raise TypeError('level must be an instance of collision_level Enum') + api_mod.setCollisionLevel.argtypes = [c_int, c_char_p] + api_mod.setCollisionLevel.restype = c_int + ret = api_mod.setCollisionLevel( + level.value, bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +###################### version 1.50######################### + +def getJointCount(ipAddress=''): + api_mod.getJointCount.argtypes = [c_char_p] + api_mod.getJointCount.restype = c_int + count = api_mod.getJointCount(bytes(ipAddress.encode('utf-8'))) + return count + + +def getWayPoint(waypointName, dblTcppos, dblJoints, ipAddress=''): + api_mod.getWayPoint.restype = c_int + dianaTcpPose = DIANA_TCP_POSE() + dianaTcpPose.values = (c_double * 6)() + dianaJointPos = DIANA_JOINTS_POSITION() + dianaJointPos.values = (c_double * 7)() + api_mod.getWayPoint.argtypes = [ + c_char_p, POINTER(DIANA_TCP_POSE), POINTER(DIANA_JOINTS_POSITION), c_char_p] + ret = api_mod.getWayPoint( + bytes(waypointName.encode('utf-8')), dianaTcpPose, dianaJointPos, bytes(ipAddress.encode('utf-8'))) + for index in range(0, len(dblTcppos)): + dblTcppos[index] = dianaTcpPose.values[index] + for index in range(0, len(dblJoints)): + dblJoints[index] = dianaJointPos.values[index] + return message(ret) + +def setWayPoint(waypointName, dblTcppos, dblJoints, ipAddress=''): + dianaTcpPose = DIANA_TCP_POSE() + dianaTcpPose.values = (c_double * 6)() + for index in range(0, len(dblTcppos)): + dianaTcpPose.values[index] = dblTcppos[index] + dianaJointPos = DIANA_JOINTS_POSITION() + dianaJointPos.values = (c_double * 7)() + for index in range(0, len(dblJoints)): + dianaJointPos.values[index] = dblJoints[index] + api_mod.setWayPoint.restype = c_int + api_mod.setWayPoint.argtypes = [ + c_char_p, POINTER(DIANA_TCP_POSE), POINTER(DIANA_JOINTS_POSITION), c_char_p] + ret = api_mod.setWayPoint( + bytes(waypointName.encode('utf-8')), dianaTcpPose, dianaJointPos, bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def addWayPoint(waypointName, dblTcppos, dblJoints, ipAddress=''): + dianaTcpPose = DIANA_TCP_POSE() + dianaTcpPose.values = (c_double * 6)() + for index in range(0, len(dblTcppos)): + dianaTcpPose.values[index] = dblTcppos[index] + dianaJointPos = DIANA_JOINTS_POSITION() + dianaJointPos.values = (c_double * 7)() + for index in range(0, len(dblJoints)): + dianaJointPos.values[index] = dblJoints[index] + api_mod.addWayPoint.restype = c_int + api_mod.addWayPoint.argtypes = [ + c_char_p, POINTER(DIANA_TCP_POSE), POINTER(DIANA_JOINTS_POSITION), c_char_p] + ret = api_mod.addWayPoint( + bytes(waypointName.encode('utf-8')), dianaTcpPose, dianaJointPos, bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def deleteWayPoint(waypointName, ipAddress=''): + api_mod.deleteWayPoint.argtypes = [c_char_p, c_char_p] + api_mod.deleteWayPoint.restype = c_int + ret = api_mod.deleteWayPoint( + bytes(waypointName.encode('utf-8')), bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +###################### version 1.60######################### + + +def getDefaultActiveTcp(default_tcp, ipAddress=''): + defaultTcp = DIANA_DEFAULT_TCP() + defaultTcp.values = (c_double*16)() + api_mod.getDefaultActiveTcp.argtypes = [ + POINTER(DIANA_DEFAULT_TCP), c_char_p] + api_mod.getDefaultActiveTcp.restype = c_int + ret = api_mod.getDefaultActiveTcp( + defaultTcp, bytes(ipAddress.encode('utf-8'))) + for index in range(0, len(defaultTcp.values)): + default_tcp[index] = defaultTcp.values[index] + return message(ret) + + +def getDefaultActiveTcpPose(arrPose, ipAddress=''): + pose = DIANA_TCP_POSE() + pose.values = (c_double*6)() + api_mod.getDefaultActiveTcpPose.argtypes = [ + POINTER(DIANA_TCP_POSE), c_char_p] + api_mod.getDefaultActiveTcpPose.restype = c_int + ret = api_mod.getDefaultActiveTcpPose( + pose, bytes(ipAddress.encode('utf-8'))) + for index in range(0, len(pose.values)): + arrPose[index] = pose.values[index] + return message(ret) + + +def getActiveTcpPayload(payload, ipAddress=''): + tcpPayload = DIANA_TCP_PAYLOAD() + tcpPayload.values = (c_double*10)() + api_mod.getActiveTcpPayload.argtypes = [ + POINTER(DIANA_TCP_PAYLOAD), c_char_p] + api_mod.getActiveTcpPayload.restype = c_int + ret = api_mod.getActiveTcpPayload( + tcpPayload, bytes(ipAddress.encode('utf-8'))) + for index in range(0, len(tcpPayload.values)): + payload[index] = tcpPayload.values[index] + return message(ret) + + +def zeroSpaceManualMove(direction, dblJointsVel, dblJointAcc, ipAddress=''): + if not isinstance(direction, zero_space_move_direction): + raise TypeError( + 'direction must be an instance of zero_space_move_direction Enum') + joint_vel = DIANA_JOINT_ANGULAR_VEL() + joint_vel.values = (c_double*7)() + for index in range(0, len(dblJointsVel)): + joint_vel.values[index] = dblJointsVel[index] + joint_acc = DIANA_JOINT_ACC() + joint_acc.values = (c_double*7)() + for index in range(0, len(joint_acc.values)): + joint_acc.values[index] = dblJointAcc[index] + api_mod.zeroSpaceManualMove.argtypes = [c_int, POINTER( + DIANA_JOINT_ANGULAR_VEL), POINTER(DIANA_JOINT_ACC), c_char_p] + api_mod.zeroSpaceManualMove.restype = c_int + ret = api_mod.zeroSpaceManualMove( + direction.value, joint_vel, joint_acc, bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def moveTcp_ex(coordinate, direction, velocity, accleartion, ipAddress=''): + if not isinstance(coordinate, coordinate_e): + raise TypeError( + 'coordinate must be an instance of coordinate_e Enum') + if not isinstance(direction, tcp_direction_e): + raise TypeError( + 'direction must be an instance of tcp_direction_e Enum') + api_mod.moveTcp_ex.argtypes = [c_int, c_int, c_double, c_double, c_char_p] + api_mod.moveTcp_ex.restype = c_int + ret = api_mod.moveTcp_ex( + coordinate.value, direction.value, velocity, accleartion, bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def setExternalAppendTorCutoffFreq(dblFreq, ipAddress=''): + api_mod.setExternalAppendTorCutoffFreq.argtypes = [c_double, c_char_p] + api_mod.setExternalAppendTorCutoffFreq.restype = c_int + ret = api_mod.setExternalAppendTorCutoffFreq( + dblFreq, bytes(ipAddress.encode('utf-8'))) + return message(ret) + + +def poseTransform(srcPose, srcMatrixPose, dstMartixPose, dstPose): + srcTcpPose = DIANA_TCP_POSE() + srcTcpPose.values = (c_double * 6)() + for index in range(0, len(srcTcpPose.values)): + srcTcpPose.values[index] = srcPose[index] + srcMatrix = DIANA_TCP_POSE() + srcMatrix.values = (c_double * 6)() + for index in range(0, len(srcMatrix.values)): + srcMatrix.values[index] = srcMatrixPose[index] + dstTcpPose = DIANA_TCP_POSE() + dstTcpPose.values = (c_double * 6)() + for index in range(0, len(dstTcpPose.values)): + dstTcpPose.values[index] = dstMartixPose[index] + dstTarPose = DIANA_TCP_POSE() + dstTarPose.values = (c_double * 6)() + for index in range(0, len(dstTarPose.values)): + dstPose[index] = -1 + api_mod.poseTransform.argtypes = [POINTER(DIANA_TCP_POSE), POINTER( + DIANA_TCP_POSE), POINTER(DIANA_TCP_POSE), POINTER(DIANA_TCP_POSE)] + api_mod.poseTransform.restype = c_int + ret = api_mod.poseTransform(byref(srcTcpPose), byref( + srcMatrix), byref(dstTcpPose), byref(dstTarPose)) + for index in range(0, len(dstTarPose.values)): + dstPose[index] = dstTarPose.values[index] + return message(ret) + +def updateForce(forceDirection,forceValue, ipAddress=''): + arr_ForceDirection = DIANA_FORCE_DIRECTION() + arr_ForceDirection.values = (c_double*3)() + for index in range(0, len(arr_ForceDirection.values)): + arr_ForceDirection.values[index] = forceDirection[index] + api_mod.updateForce.restype = c_int + api_mod.updateForce.argtypes = [POINTER(DIANA_FORCE_DIRECTION),c_double, c_char_p] + ret = api_mod.updateForce(byref(arr_ForceDirection),forceValue, bytes(ipAddress.encode('utf-8'))) + return message(ret) + +def updateForce_ex(forceDirection,forceValue, active_tcp=None, ipAddress=''): + arr_ForceDirection = DIANA_FORCE_DIRECTION() + arr_ForceDirection.values = (c_double*3)() + for index in range(0, len(arr_ForceDirection.values)): + arr_ForceDirection.values[index] = forceDirection[index] + ret = 0 + if active_tcp==None: + use_active_tcp = c_void_p(0) + api_mod.updateForce_ex.restype = c_int + api_mod.updateForce_ex.argtypes = [POINTER(DIANA_FORCE_DIRECTION),c_double,c_void_p, c_char_p] + ret = api_mod.updateForce_ex(byref(arr_ForceDirection),forceValue,use_active_tcp, bytes(ipAddress.encode('utf-8'))) + else: + arr_Active_Tcp = DIANA_ACTIVE_TCP() + arr_Active_Tcp.values = (c_double*6)() + for index in range(0, len(arr_Active_Tcp.values)): + arr_Active_Tcp.values[index] = active_tcp[index] + api_mod.updateForce_ex.restype = c_int + api_mod.updateForce_ex.argtypes = [POINTER(DIANA_FORCE_DIRECTION),c_double,POINTER(DIANA_ACTIVE_TCP), c_char_p] + ret = api_mod.updateForce_ex(byref(arr_ForceDirection),forceValue,byref(arr_Active_Tcp), bytes(ipAddress.encode('utf-8'))) + return message(ret) + +def inverseClosedFull(pose, lock_joint_index, lock_joint_position, ref_joints, active_tcp=None, ipAddress=''): + refJointsPosition = DIANA_JOINTS_POSITION() + refJointsPosition.values = (c_double * 7)() + for index in range(0, len(ref_joints)): + refJointsPosition.values[index] = ref_joints[index] + dianaPose = DIANA_TCP_POSE() + dianaPose.values = (c_double * 6)() + for index in range(0, len(pose)): + dianaPose.values[index] = pose[index] + ret = 0 + if active_tcp==None: + use_active_tcp = c_void_p(0) + api_mod.inverseClosedFull.argtypes = [POINTER(DIANA_TCP_POSE),c_int,c_double,POINTER(DIANA_JOINTS_POSITION),c_void_p, c_char_p] + api_mod.inverseClosedFull.restype = c_int + id = api_mod.inverseClosedFull(byref(dianaPose),lock_joint_index,lock_joint_position,byref(refJointsPosition), use_active_tcp, bytes(ipAddress.encode('utf-8'))) + else: + arrActiveTcp = DIANA_ACTIVE_TCP() + arrActiveTcp.values = (c_double*6)() + for index in range(0, len(arrActiveTcp.values)): + arrActiveTcp.values[index] = active_tcp[index] + api_mod.inverseClosedFull.argtypes = [POINTER(DIANA_TCP_POSE),c_int,c_double,POINTER(DIANA_JOINTS_POSITION),POINTER(DIANA_ACTIVE_TCP), c_char_p] + api_mod.inverseClosedFull.restype = c_int + id = api_mod.inverseClosedFull(byref(dianaPose),lock_joint_index,lock_joint_position,byref(refJointsPosition), byref(arrActiveTcp), bytes(ipAddress.encode('utf-8'))) + return id + +def getInverseClosedResultSize(id, ipAddress=''): + api_mod.getInverseClosedResultSize.argtypes = [c_int, c_char_p] + api_mod.getInverseClosedResultSize.restype = c_int + size = api_mod.getInverseClosedResultSize(id, bytes(ipAddress.encode('utf-8'))) + return size + +def getInverseClosedJoints(id, index, joints, ipAddress=''): + dianaJoints = DIANA_JOINTS_POSITION() + dianaJoints.values = (c_double * 7)() + api_mod.getInverseClosedJoints.argtypes = [c_int, c_int, POINTER(DIANA_JOINTS_POSITION), c_char_p] + api_mod.getInverseClosedJoints.restype = c_int + size = api_mod.getInverseClosedJoints(id, index, dianaJoints, bytes(ipAddress.encode('utf-8'))) + for index in range(0, len(joints)): + joints[index] = dianaJoints.values[index] + return size + +def destoryInverseClosedItems(id, ipAddress=''): + api_mod.destoryInverseClosedItems.argtypes = [c_int, c_char_p] + api_mod.destoryInverseClosedItems.restype = c_int + ret = api_mod.destoryInverseClosedItems(id, bytes(ipAddress.encode('utf-8'))) + return message(ret) + +def getGravInfo(grav, ipAddress=''): + gravInfo = DIANA_GRAV_INFO() + gravInfo.values = (c_double * 3)() + api_mod.getGravInfo.argtypes = [POINTER(DIANA_GRAV_INFO), c_char_p] + api_mod.getGravInfo.restype = c_int + ret = api_mod.getGravInfo(gravInfo, bytes(ipAddress.encode('utf-8'))) + for index in range(0, len(grav)): + grav[index] = gravInfo.values[index] + return message(ret) + +def setGravInfo(grav, ipAddress=''): + gravInfo = DIANA_GRAV_INFO() + gravInfo.values = (c_double * 3)() + for index in range(0, len(grav)): + gravInfo.values[index] = grav[index] + api_mod.setGravInfo.argtypes = [POINTER(DIANA_GRAV_INFO), c_char_p] + api_mod.setGravInfo.restype = c_int + ret = api_mod.setGravInfo(gravInfo, bytes(ipAddress.encode('utf-8'))) + return message(ret) + +def getGravAxis(grav, ipAddress=''): + gravAxis = DIANA_AXIS_VECTOR() + gravAxis.values = (c_double * 3)() + api_mod.getGravAxis.argtypes = [POINTER(DIANA_AXIS_VECTOR), c_char_p] + api_mod.getGravAxis.restype = c_int + ret = api_mod.getGravAxis(gravAxis, bytes(ipAddress.encode('utf-8'))) + for index in range(0, len(grav)): + grav[index] = gravAxis.values[index] + return message(ret) + +def setGravAxis(grav, ipAddress=''): + gravInfo = DIANA_AXIS_VECTOR() + gravInfo.values = (c_double * 3)() + for index in range(0, len(grav)): + gravInfo.values[index] = grav[index] + api_mod.setGravAxis.argtypes = [POINTER(DIANA_AXIS_VECTOR), c_char_p] + api_mod.setGravAxis.restype = c_int + ret = api_mod.setGravAxis(gravInfo, bytes(ipAddress.encode('utf-8'))) + return message(ret) + +def speedLOnTcp(speed, acc, t=0.0, ipAddress=''): + dianaJointsSpeed = DIANA_JOINTS_SPEED_L() + dianaJointsSpeed.values = (c_double * 6)() + for index in range(0, len(dianaJointsSpeed.values)): + dianaJointsSpeed.values[index] = speed[index] + dianaJointsAcc = DIANA_JOINTS_ACC() + dianaJointsAcc.values = (c_double * 2)() + for index in range(0, len(dianaJointsAcc.values)): + dianaJointsAcc.values[index] = acc[index] + active_tcp = c_void_p(0) + api_mod.speedLOnTcp.argtypes = [POINTER(DIANA_JOINTS_SPEED_L), POINTER( + DIANA_JOINTS_ACC), c_double, c_void_p, c_char_p] + api_mod.speedLOnTcp.restype = c_int + ret = api_mod.speedLOnTcp(dianaJointsSpeed, dianaJointsAcc, + t, active_tcp, bytes(ipAddress.encode('utf-8'))) + return message(ret) + +def getTcpForceInToolCoordinate(forces, ipAddress=''): + dianaTcpForce = DIANA_TCP_FORCE() + dianaTcpForce.values = (c_double * 6)() + api_mod.getTcpForceInToolCoordinate.argtypes = [POINTER(DIANA_TCP_FORCE), c_char_p] + api_mod.getTcpForceInToolCoordinate.restype = c_int + ret = api_mod.getTcpForceInToolCoordinate(byref(dianaTcpForce), + bytes(ipAddress.encode('utf-8'))) + for index in range(0, len(dianaTcpForce.values)): + forces[index] = dianaTcpForce.values[index] + return message(ret) + +def calculateJacobi(matrixJacobi, joints, ipAddress=''): + _joint_count = getJointCount(ipAddress) + dianaJoints = DIANA_JOINTS_POSITION() + dianaJoints.values = (c_double * 7)() + for index in range(0, len(joints)): + dianaJoints.values[index] = joints[index] + dianaJacobiMatrix = DIANA_JACOBI_MATRIX() + dianaJacobiMatrix.values = (c_double * 42)() + api_mod.calculateJacobi.argtypes = [POINTER(DIANA_JACOBI_MATRIX), POINTER(DIANA_JOINTS_POSITION), c_int, c_char_p] + api_mod.calculateJacobi.restype = c_int + ret = api_mod.calculateJacobi(byref(dianaJacobiMatrix), dianaJoints, _joint_count, bytes(ipAddress.encode('utf-8'))) + if ret < 0: + return message(ret) + for index in range(0, _joint_count * 6): + matrixJacobi[index] = dianaJacobiMatrix.values[index] + return message(ret) + +def calculateJacobiTF(matrixJacobi, joints, toolMatrix, ipAddress=''): + _joint_count = getJointCount(ipAddress) + dianaJoints = DIANA_JOINTS_POSITION() + dianaJoints.values = (c_double * 7)() + for index in range(0, len(joints)): + dianaJoints.values[index] = joints[index] + dianaToolMatrix = DIANA_ACTIVE_TCP() + dianaToolMatrix.values = (c_double * 6)() + for index in range(0, len(toolMatrix)): + dianaToolMatrix.values[index] = toolMatrix[index] + dianaJacobiMatrix = DIANA_JACOBI_MATRIX() + dianaJacobiMatrix.values = (c_double * 42)() + api_mod.calculateJacobiTF.argtypes = [POINTER(DIANA_JACOBI_MATRIX),POINTER(DIANA_JOINTS_POSITION), c_int, POINTER(DIANA_ACTIVE_TCP), c_char_p] + api_mod.calculateJacobiTF.restype = c_int + ret = api_mod.calculateJacobiTF(byref(dianaJacobiMatrix), dianaJoints, _joint_count, dianaToolMatrix, bytes(ipAddress.encode('utf-8'))) + if ret < 0 : + return message(ret) + for index in range(0, _joint_count * 6): + matrixJacobi[index] = dianaJacobiMatrix.values[index] + return message(ret) diff --git a/roboimi/diana_driver/diana.py b/roboimi/diana_driver/diana.py new file mode 100644 index 0000000..806e31f --- /dev/null +++ b/roboimi/diana_driver/diana.py @@ -0,0 +1,117 @@ +#!/usr/bin/env python3 +#coding=utf-8 +#Date: 2024-12-01 +#Author: Zongdao Li + +import sys + +# def load_api(path : str): +# from ctypes import CDLL +# # scriptLibraryPath='/home/imi/ros2_ws/src/diana_py/lib/libDianaApi.so' +# if sys.version_info < (3, 8): +# return CDLL(path) +# else: +# return CDLL(path, winmode=0) + + +# api_mod = load_api(LIB_PATH) + +import DianaApi_v2 as DA +import time + +class Diana(): + def __init__(self,ip): + self.robot_ip = ip + self.netInfo=(self.robot_ip, 0, 0, 0, 0, 0) + self.init_srv() + print("") + + def init_srv(self): + DA.initSrv(self.netInfo) + + def start(self): + DA.initSrv(self.netInfo) + DA.releaseBrake(self.robot_ip) + + def move_spec_J(self,joint_value,joint_index): + v = 0.1 + a = 0.1 + DA._MoveSpecificJoint(joint_value,joint_index,v,a,self.robot_ip) + + def moveJ(self,joints,v,a): + ret = DA._MoveJ(joints,v,a,self.robot_ip) + + def moveL(self,pose,v,a): + ret = DA.moveJToPose(pose,v,a,self.robot_ip) + + def servoJ(self,joints): + ret = DA._ServoJ(joints,ipAddress=self.robot_ip) + if ret: + print("servoJ complete") + else: + raise Exception(" get servoJ failed") + + def servoL(self,pose): + ret = DA.servoL(pose, t=0.01, ah_t=0.03, gain=300, scale=1,ipAddress=self.robot_ip) + if ret: + print("servoL complete") + else: + raise Exception(" get servoL failed") + + def pathPos(self,pos_group,v=0.2,a=0.2): + ret,path_id = DA._CreatePathbyJoints(self.robot_ip) + times = len(pos_group) + if times < 1: + raise Exception(" pos group is zero") + else: + for i in range(times): + DA.addMoveL(path_id, pos_group[i], v, a, 0.3,self.robot_ip) + ret1 = DA._ExecutePath(path_id,self.robot_ip) + if ret1: + DA.destroyPath(path_id,self.robot_ip) + + + def getRobotState(self): + return DA.getRobotState(self.robot_ip) + + def pathJnts(self,joints_group,v=0.2,a=0.2): + ret,path_id = DA._CreatePathbyJoints(self.robot_ip) + times = len(joints_group) + if times < 1: + raise Exception(" joints group is zero") + else: + for i in range(times): + DA.addMoveJ(path_id, joints_group[i], v, a, 0.3,self.robot_ip) + DA._ExecutePath(path_id,self.robot_ip) + DA.destroyPath(path_id,self.robot_ip) + + def getJointStates(self): + jointsPosition = [0,0,0,0,0,0,0] + ret = DA.getJointPos(jointsPosition, self.robot_ip) + if ret == True: + return jointsPosition + else: + raise Exception(" get jointsPosition failed") + + def getTCPpos(self): + TCP_pose = DA._GetTcpPos(self.robot_ip) + return TCP_pose + + def stop(self): + # DA.stop(self.robot_ip) + DA.holdBrake(self.robot_ip) + DA.destroySrv(self.robot_ip) + print("Good Bye !") + +if __name__ == '__main__': + a = Diana('192.168.10.76') + a.start() + i = 0 + while True: + i+=1 + print("run") + if i == 5000: + a.stop() + break + print("close") + diff --git a/roboimi/env.yml b/roboimi/env.yml new file mode 100644 index 0000000..9cf38cc --- /dev/null +++ b/roboimi/env.yml @@ -0,0 +1,209 @@ +name: roboimi_act +channels: + - conda-forge +dependencies: + - _libgcc_mutex=0.1=conda_forge + - _openmp_mutex=4.5=2_kmp_llvm + - alsa-lib=1.2.9=hd590300_0 + - aom=3.5.0=h27087fc_0 + - attr=2.5.1=h166bdaf_1 + - box2d-py=2.3.8=py310hc6cd4ac_8 + - brotli=1.1.0=hb9d3cd8_2 + - brotli-bin=1.1.0=hb9d3cd8_2 + - bzip2=1.0.8=h4bc722e_7 + - ca-certificates=2024.8.30=hbcca054_0 + - cairo=1.16.0=h35add3b_1015 + - certifi=2024.8.30=pyhd8ed1ab_0 + - cloudpickle=3.0.0=pyhd8ed1ab_0 + - contourpy=1.3.0=py310h3788b33_1 + - cuda-cudart=12.6.68=h5888daf_0 + - cuda-cudart_linux-64=12.6.68=h3f2d84a_0 + - cuda-nvrtc=12.6.68=h5888daf_0 + - cuda-nvtx=12.6.68=h5888daf_0 + - cuda-version=12.6=h7480c83_3 + - cudnn=8.9.7.29=h092f7fd_3 + - cycler=0.12.1=pyhd8ed1ab_0 + - dav1d=1.2.1=hd590300_0 + - dbus=1.13.6=h5008d03_3 + - eigen=3.4.0=h00ab1b0_0 + - expat=2.6.3=h5888daf_0 + - farama-notifications=0.0.4=pyhd8ed1ab_0 + - filelock=3.15.4=pyhd8ed1ab_0 + - fluidsynth=2.3.3=h71480ea_0 + - font-ttf-dejavu-sans-mono=2.37=hab24e00_0 + - font-ttf-inconsolata=3.000=h77eed37_0 + - font-ttf-source-code-pro=2.038=h77eed37_0 + - font-ttf-ubuntu=0.83=h77eed37_2 + - fontconfig=2.14.2=h14ed4e7_0 + - fonts-conda-ecosystem=1=0 + - fonts-conda-forge=1=0 + - fonttools=4.53.1=py310ha75aee5_1 + - freetype=2.12.1=h267a509_2 + - fsspec=2024.6.1=pyhff2d567_0 + - gettext=0.22.5=he02047a_3 + - gettext-tools=0.22.5=he02047a_3 + - gmp=6.3.0=hac33072_2 + - gmpy2=2.1.5=py310hc7909c9_1 + - graphite2=1.3.13=h59595ed_1003 + - gym=0.26.1=py310hfdc917e_0 + - gym-box2d=0.26.1=py310hff52083_0 + - gym-notices=0.0.8=pyhd8ed1ab_0 + - gymnasium=0.29.1=py310h17c5347_1 + - harfbuzz=7.3.0=hdb3a94d_0 + - icu=72.1=hcb278e6_0 + - jack=1.9.22=h0e77e87_1 + - jax-jumpy=1.0.0=pyhd8ed1ab_0 + - jinja2=3.1.4=pyhd8ed1ab_0 + - jpeg=9e=h166bdaf_2 + - lame=3.100=h166bdaf_1003 + - lcms2=2.15=hfd0df8a_0 + - ld_impl_linux-64=2.40=hf3520f5_7 + - lerc=4.0.0=h27087fc_0 + - libabseil=20240116.2=cxx17_he02047a_1 + - libasprintf=0.22.5=he8f35ee_3 + - libasprintf-devel=0.22.5=he8f35ee_3 + - libavif=0.11.1=h8182462_2 + - libblas=3.9.0=23_linux64_openblas + - libbrotlicommon=1.1.0=hb9d3cd8_2 + - libbrotlidec=1.1.0=hb9d3cd8_2 + - libbrotlienc=1.1.0=hb9d3cd8_2 + - libcap=2.69=h0f662aa_0 + - libcblas=3.9.0=23_linux64_openblas + - libcublas=12.6.1.4=h5888daf_0 + - libcufft=11.2.6.59=h5888daf_0 + - libcurand=10.3.7.68=h5888daf_0 + - libcusolver=11.6.4.69=h5888daf_0 + - libcusparse=12.5.3.3=h5888daf_0 + - libdb=6.2.32=h9c3ff4c_0 + - libdeflate=1.17=h0b41bf4_0 + - libexpat=2.6.3=h5888daf_0 + - libffi=3.4.2=h7f98852_5 + - libflac=1.4.3=h59595ed_0 + - libgcc=14.1.0=h77fa898_1 + - libgcc-ng=14.1.0=h69a702a_1 + - libgcrypt=1.11.0=h4ab18f5_1 + - libgettextpo=0.22.5=he02047a_3 + - libgettextpo-devel=0.22.5=he02047a_3 + - libgfortran=14.1.0=h69a702a_1 + - libgfortran-ng=14.1.0=h69a702a_1 + - libgfortran5=14.1.0=hc5f4f2c_1 + - libglib=2.80.3=h315aac3_2 + - libgpg-error=1.50=h4f305b6_0 + - libhwloc=2.9.3=default_h554bfaf_1009 + - libiconv=1.17=hd590300_2 + - libjpeg-turbo=2.1.4=h166bdaf_0 + - liblapack=3.9.0=23_linux64_openblas + - libmad=0.15.1b=h0b41bf4_1001 + - libmagma=2.8.0=h0af6554_0 + - libmagma_sparse=2.8.0=h0af6554_0 + - libnsl=2.0.1=hd590300_0 + - libnvjitlink=12.6.68=h5888daf_0 + - libogg=1.3.5=h4ab18f5_0 + - libopenblas=0.3.27=pthreads_hac2b453_1 + - libopus=1.3.1=h7f98852_1 + - libpng=1.6.43=h2797004_0 + - libprotobuf=4.25.3=h08a7969_0 + - libsndfile=1.2.2=hbc2eb40_0 + - libsqlite=3.46.0=hde9e2c9_0 + - libstdcxx=14.1.0=hc0a3c3a_1 + - libstdcxx-ng=14.1.0=h4852527_1 + - libsystemd0=256.5=hb6d7363_0 + - libtiff=4.5.0=h6adf6a1_2 + - libtorch=2.4.0=cuda120_h2b0da52_301 + - libuuid=2.38.1=h0b41bf4_0 + - libuv=1.48.0=hd590300_0 + - libvorbis=1.3.7=h9c3ff4c_0 + - libwebp-base=1.4.0=hd590300_0 + - libxcb=1.13=h7f98852_1004 + - libxcrypt=4.4.36=hd590300_1 + - libxml2=2.11.5=h0d562d8_0 + - libzlib=1.3.1=h4ab18f5_1 + - llvm-openmp=18.1.8=hf5423f3_1 + - lz4-c=1.9.4=hcb278e6_0 + - markupsafe=2.1.5=py310ha75aee5_1 + - matplotlib-base=3.9.2=py310hf02ac8c_0 + - mkl=2023.2.0=h84fe81f_50496 + - mpc=1.3.1=h24ddda3_0 + - mpfr=4.2.1=h38ae2d0_2 + - mpg123=1.31.3=hcb278e6_0 + - mpmath=1.3.0=pyhd8ed1ab_0 + - munkres=1.1.4=pyh9f0ad1d_0 + - nccl=2.22.3.1=hbc370b7_1 + - ncurses=6.5=he02047a_1 + - networkx=3.3=pyhd8ed1ab_1 + - numpy=1.26.4=py310hb13e2d6_0 + - openjpeg=2.5.0=hfec8fc6_2 + - openssl=3.3.2=hb9d3cd8_0 + - opusfile=0.12=h3358134_2 + - orocos-kdl=1.5.1=h5888daf_6 + - packaging=24.1=pyhd8ed1ab_0 + - pandas=2.2.2=py310hf9f9076_1 + - pcre2=10.44=hba22ea6_2 + - pillow=9.4.0=py310h023d228_1 + - pip=24.2=pyh8b19718_1 + - pixman=0.43.2=h59595ed_0 + - portaudio=19.6.0=h0e77e87_8 + - portmidi=2.0.4=h0e77e87_1 + - pthread-stubs=0.4=h36c2ea0_1001 + - pulseaudio-client=16.1=hb77b528_5 + - pybind11=2.13.5=py310h3788b33_0 + - pybind11-global=2.13.5=py310h3788b33_0 + - pygame=2.1.3=py310h2a1bfa1_0 + - pyparsing=3.1.4=pyhd8ed1ab_0 + - python=3.10.14=hd12c33a_0_cpython + - python-dateutil=2.9.0=pyhd8ed1ab_0 + - python-orocos-kdl=1.5.1=py310hf71b8c6_6 + - python-tzdata=2024.1=pyhd8ed1ab_0 + - python_abi=3.10=5_cp310 + - pytorch=2.4.0=cuda120_py310h2c91c31_301 + - pytz=2024.1=pyhd8ed1ab_0 + - qhull=2020.2=h434a139_5 + - readline=8.2=h8228510_1 + - sdl2=2.26.5=h949db6a_0 + - sdl2_image=2.6.3=h7b3d2e9_0 + - sdl2_mixer=2.6.3=h563c3bf_0 + - sdl2_ttf=2.20.2=h2123e47_1 + - setuptools=72.2.0=pyhd8ed1ab_0 + - six=1.16.0=pyh6c4a22f_0 + - sleef=3.6.1=h1b44611_3 + - stable-baselines3=2.3.2=pyhd8ed1ab_0 + - sympy=1.13.2=pypyh2585a3b_103 + - tbb=2021.11.0=h00ab1b0_1 + - tk=8.6.13=noxft_h4845f30_101 + - typing_extensions=4.12.2=pyha770c72_0 + - tzdata=2024a=h8827d51_1 + - unicodedata2=15.1.0=py310h2372a71_0 + - wheel=0.44.0=pyhd8ed1ab_0 + - xorg-kbproto=1.0.7=h7f98852_1002 + - xorg-libice=1.1.1=hd590300_0 + - xorg-libsm=1.2.4=h7391055_0 + - xorg-libx11=1.8.4=h0b41bf4_0 + - xorg-libxau=1.0.11=hd590300_0 + - xorg-libxdmcp=1.1.3=h7f98852_0 + - xorg-libxext=1.3.4=h0b41bf4_2 + - xorg-libxrender=0.9.10=h7f98852_1003 + - xorg-renderproto=0.11.1=h7f98852_1002 + - xorg-xextproto=7.3.0=h0b41bf4_1003 + - xorg-xproto=7.0.31=h7f98852_1007 + - xz=5.2.6=h166bdaf_0 + - zlib=1.3.1=h4ab18f5_1 + - zstd=1.5.6=ha6fb4c9_0 + - pip: + - absl-py==2.1.0 + - etils==1.7.0 + - glfw==2.7.0 + - imageio==2.35.1 + - importlib-resources==6.4.4 + - kiwisolver==1.4.5 + - lxml==5.3.0 + - mujoco==3.2.2 + - mujoco-python-viewer==0.1.4 + - opencv-contrib-python==4.10.0.84 + - pyopengl==3.1.7 + - pyquaternion==0.9.9 + - pyyaml==6.0.2 + - ruckig==0.9.2 + - scipy==1.14.1 + - urdf-parser-py==0.0.4 + - zipp==3.20.1 +prefix: /home/lzd/miniforge3/envs/roboimi diff --git a/roboimi/envs/diana_real_base.py b/roboimi/envs/diana_real_base.py new file mode 100644 index 0000000..d44e827 --- /dev/null +++ b/roboimi/envs/diana_real_base.py @@ -0,0 +1,64 @@ +# import DianaApi + + + +# class SingleArmEnv(objects): + # def __init__(self, + # robot=None, + # is_render=False, + # control_freq=200, + # is_interpolate=False): + # self.arm_real = self.robot.arm + +class RealArmEnv(MujocoEnv): + def __init__(self, + robot=None, + is_render=False, + renderer="viewer", + control_freq=200, + is_interpolate=False + ): + super().__init__( + robot=robot, + is_render=is_render, + renderer=renderer, + control_freq=control_freq + ) + self.single_arm_real = self.robot.arm + + + def actuate_J(self, q_target, qdot_target, Arm): + ''' + DianaApi interfaces for joints pos control + ''' + pass + + def preStep(self, action): + ''' + actions = jnt pos + ''' + pass + + def reset(self): + ''' + set init pos for real robot + ''' + pass + + def step(self,action): + pass + + +if __name__ == "__main__": + try: + from roboimi.assets.robots.diana_med import DianaMed + + env = RealArmEnv( + robot=DianaMed(), + control_freq=200, + is_interpolate=True + ) + env.reset() + + except KeyboardInterrupt: + print("finish") \ No newline at end of file diff --git a/roboimi/envs/double_base.py b/roboimi/envs/double_base.py new file mode 100644 index 0000000..1b7785b --- /dev/null +++ b/roboimi/envs/double_base.py @@ -0,0 +1,294 @@ +import numpy as np +import time +import copy as cp +from roboimi.envs.mujoco_base import MujocoEnv +import cv2 +from roboimi.utils.interpolators import OTG +import mujoco as mj +import threading +import collections +import time +from roboimi.utils.interpolators import OTG + +class DualDianaMed(MujocoEnv): + """ + + :param is_render: Choose if use the renderer to render the scene or not. + :param renderer: Choose official renderer with "viewer", + another renderer with "mujoco_viewer" + :param control_freq: Upper-layer control frequency. + Note that high frequency will cause high time-lag. + :param is_interpolate: Use interpolator while stepping. + """ + + def __init__(self, + robot=None, + is_render=False, + renderer="viewer", + control_freq=20, + cam_view=None, + is_interpolate=False + ): + super().__init__( + robot=robot, + is_render=is_render, + renderer=renderer, + control_freq=control_freq + ) + self.arm_left = self.robot.left_arm + self.arm_right = self.robot.right_arm + self.base_time = self.control_timestep + + self.cam = cam_view + self.interpolator_left = None + self.interpolator_right = None + self.compute_qpos = np.array([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16]) + if is_interpolate: + self._initInterpolator(self.robot.arms) + + + + #camera view setting + self.r_vis = None + self.l_vis = None + self.top = None + self.angle = None + self.obs = None + + self.rew = None + + + def actuate_J(self, q_target, qdot_target, Arm): + """ Compute desired torque with robot dynamics modeling: + > M(q)qdd + C(q, qd)qd + G(q) + tau_F(qd) = tau_ctrl + tau_env + + :param q_target: joint position + :param qdot_target: joint velocity + """ + # print(Arm.kdl_solver.NbOfJnt) + acc_desire = [ + (self.robot.kp[i] * (q_target[i] - Arm.arm_qpos[i]) - + (self.robot.kd[i] * Arm.arm_qvel[i])) for i in range(Arm.jnt_num)] + qM = Arm.kdl_solver.getInertiaMat([Arm.arm_qpos[i] for i in range(len(Arm.joint_index))]) + tau_target = np.dot(qM, acc_desire) + np.array( + [self.mj_data.joint(Arm.joint_index[i]).qfrc_bias[0] for i in range(len(Arm.joint_index))]) + # Send torque to simulation + for i in range(7): + self.mj_data.actuator(Arm.actuator_index[i]).ctrl = tau_target[i] + + + def reset(self): + self._setInitPose() + mj.mj_step(self.mj_model, self.mj_data) + if self.interpolator_left is not None and self.interpolator_right is not None: + self.interpolator_left.setOTGParam(self.robot.arms[0].arm_qpos, + np.zeros(len(self.robot.arms[0].joint_index))) + self.interpolator_right.setOTGParam(self.robot.arms[1].arm_qpos, + np.zeros(len(self.robot.arms[1].joint_index))) + + + + def step(self,action): + self.compute_qpos = action #for observation ! + self.obs = self._get_obs() + if self.interpolator_left is not None and self.interpolator_right is not None: + self.interpolator_left.updateInput(action[:7], control_cycle=self.base_time) + self.interpolator_right.updateInput(action[7:-2], control_cycle=self.base_time) + + ctrl_cur_time = time.time() + for i in range(int(self.control_timestep / self.model_timestep)): + if int(self.control_timestep / self.model_timestep) == 0: + raise ValueError("Control frequency is too low. Checkout you are not in renderer mode." + "Current Model-Timestep:{}".format(self.model_timestep)) + + super().step(action) + self.base_time = time.time() - ctrl_cur_time + + + def preStep(self, action): + ''' + action size: + left joints: 7 + right joints: 7 + left gripper left: 1 + right gripper left: 1 + total: 16 + ''' + if len(action) == 16: + action_gripper_left = action[-2] + action_gripper_right = action[-1] + q_target_l = action[:7], + q_target_r= action[7:-2], + if self.interpolator_left is not None and self.interpolator_right is not None: + try: + q_target_l, _ = self.interpolator_left.updateState() + q_target_r, _ = self.interpolator_right.updateState() + except ValueError: + print(action) + self.actuate_J(q_target_l, np.zeros(7), self.arm_left) + self.actuate_J(q_target_r, np.zeros(7), self.arm_right) + self.gripper_ctrl(action_gripper_left,self.arm_left) + self.gripper_ctrl(action_gripper_right,self.arm_right) + else: + raise AttributeError + + def gripper_ctrl(self,ctrl,Arm): + ''' + open: 100 + close: -100 + ''' + if -100 <= ctrl <= 100: + self.mj_data.actuator(Arm.actuator_index[7]).ctrl = ctrl + else: + if ctrl>100: + self.mj_data.actuator(Arm.actuator_index[7]).ctrl = 100 + else: + self.mj_data.actuator(Arm.actuator_index[7]).ctrl = -100 + # raise ValueError("the torq should be given between -100 and 100 ") + + + @property + def get_obs_qpos(self): + qpos_left = np.zeros(self.arm_left.jnt_num) + qpos_right = np.zeros(self.arm_right.jnt_num) + for i in range(self.arm_left.jnt_num): + qpos_left[i] = cp.deepcopy(self.mj_data.joint(self.arm_left.joint_index[i]).qpos[0]) + for i in range(self.arm_right.jnt_num): + qpos_right[i] = cp.deepcopy(self.mj_data.joint(self.arm_right.joint_index[i]).qpos[0]) + return np.hstack([qpos_left,self.mj_data.actuator(self.arm_left.actuator_index[7]).ctrl, + qpos_right,self.mj_data.actuator(self.arm_right.actuator_index[7]).ctrl]) + + + def _get_obs(self): + obs = collections.OrderedDict() + obs['qpos'] = self.get_obs_qpos + obs['action'] = self.compute_qpos + obs['images'] = dict() + obs['images']['top'] = self.top + obs['images']['angle'] = self.angle + obs['images']['r_vis'] = self.r_vis + obs['images']['l_vis'] = self.l_vis + return obs + + def _get_image_obs(self): + obs = collections.OrderedDict() + obs['images'] = dict() + obs['images']['top'] = self.top + obs['images']['angle'] = self.angle + obs['images']['r_vis'] = self.r_vis + obs['images']['l_vis'] = self.l_vis + return obs + + def _get_qpos_obs(self): + obs = collections.OrderedDict() + obs['qpos'] = self.get_obs_qpos + return obs + + def get_env_state(self): + raise NotImplementedError + + + def _get_reward(self): + raise NotImplementedError + + + @property + def cam_view(self): + if self.cam == 'top': + return self.top + elif self.cam == 'angle': + return self.angle + elif self.cam == 'r_vis': + return self.r_vis + elif self.cam == 'l_vis': + return self.l_vis + else: + raise AttributeError("please input right name") + + + def camera_viewer(self): + img_renderer = mj.Renderer(self.mj_model,height=480,width=640) + cv2.namedWindow('Cam view',cv2.WINDOW_NORMAL) + while not self.exit_flag: + img_renderer.update_scene(self.mj_data,camera="rs_cam_right") + self.r_vis = img_renderer.render() + self.r_vis = self.r_vis[:, :, ::-1] + img_renderer.update_scene(self.mj_data,camera="rs_cam_left") + self.l_vis = img_renderer.render() + self.l_vis = self.l_vis[:, :, ::-1] + img_renderer.update_scene(self.mj_data,camera="top") + self.top = img_renderer.render() + self.top = self.top[:, :, ::-1] + img_renderer.update_scene(self.mj_data,camera="angle") + self.angle = img_renderer.render() + self.angle = self.angle[:, :, ::-1] + cv2.imshow('Cam view', self.cam_view) + cv2.waitKey(1) + + + def cam_start(self): + self.cam_thread = threading.Thread(target=self.camera_viewer,daemon=True) + self.cam_thread.start() + + + def _initInterpolator(self, Arm): + + self.interpolator_left = OTG( + OTG_Dof=self.robot.left_arm.jnt_num, + control_cycle=0.0005, + max_velocity=0.05, + max_acceleration=0.1, + max_jerk=0.2 + ) + self.interpolator_left.setOTGParam(Arm[0].arm_qpos, Arm[0].arm_qvel) + self.interpolator_right = OTG( + OTG_Dof=self.robot.right_arm.jnt_num, + control_cycle=0.0005, + max_velocity=0.05, + max_acceleration=0.1, + max_jerk=0.2 + ) + self.interpolator_right.setOTGParam(Arm[1].arm_qpos, Arm[1].arm_qvel) + +if __name__ == "__main__": + from roboimi.assets.robots.diana_med import BiDianaMed + + env = DualDianaMed( + robot=BiDianaMed(), + is_render=True, + control_freq=200, + cam_view='top', + is_interpolate=True + ) + + + env.reset() + + for t in range(int(1e6)): + action_l = np.array([0.0, 0.0, 0.0, 0.0, 0.0 ,0.0, 0.0]) + action_r = np.array([0.0, 0.0, 0.0, 0.0, 0.0 ,0.0, 0.0]) + gripper = np.array([-100.0,-100.0]) + action = np.hstack((action_l,action_r,gripper)) + env.step(action) + l_q = np.zeros(7) + l_q[3] = 0.0 + r_q = np.zeros(7) + r_q[3] = 0.0 + print("\nkdl fk left =",env.arm_left.kdl_solver.getEEtf(l_q)) + # print("\n left pos=",env.robot.robot_data.body("left_link7").xpos,"\n") + # print("\nleft xmat",env.robot.robot_data.body("left_link7").xmat,"\n") + + print("============================") + print("\nkdl fk right =",env.arm_right.kdl_solver.getEEtf(r_q)) + # print("\n right pos=",env.robot.robot_data.body("right_link7").xpos,"\n") + # print("\nright xmat",env.robot.robot_data.body("right_link7").xmat,"\n") + + # quat_left = np.zeros(4) + # quat_right = np.zeros(4) + # mj._functions.mju_mat2Quat(quat_left, rot_left) + # print("quat_left =",quat_left,"\n") + # mj._functions.mju_mat2Quat(quat_right, rot_right) + # print("quat_right =",quat_right,"\n") + if env.is_render: + env.render() + \ No newline at end of file diff --git a/roboimi/envs/double_pos_ctrl_env.py b/roboimi/envs/double_pos_ctrl_env.py new file mode 100644 index 0000000..4d15e8c --- /dev/null +++ b/roboimi/envs/double_pos_ctrl_env.py @@ -0,0 +1,165 @@ +import numpy as np +import time +from roboimi.envs.double_base import DualDianaMed +# import cv2 +import roboimi.utils.KDL_utils.transform as T + +import copy as cp + + +class DualDianaMed_Pos_Ctrl(DualDianaMed): + """ + + :param is_render: Choose if use the renderer to render the scene or not. + :param renderer: Choose official renderer with "viewer", + another renderer with "mujoco_viewer" + :param control_freq: Upper-layer control frequency. + Note that high frequency will cause high time-lag. + :param cam_view: Choice of Camera view. + """ + + def __init__(self, + robot=None, + is_render=False, + renderer="viewer", + control_freq=200, + is_interpolate=True, + cam_view=None + ): + super().__init__( + robot=robot, + is_render=is_render, + renderer=renderer, + control_freq=control_freq, + is_interpolate=is_interpolate, + cam_view=cam_view + ) + + self.max_reward = 4 + + self.cam_start() + + + def step(self,action=np.zeros(16)): + action_left = self.ik_solve(action[:3],action[3:7],self.arm_left) + action_right = self.ik_solve(action[7:10],action[10:14],self.arm_right) + action = np.hstack((action_left,action_right,action[14:])) + super().step(action) + self.rew = self._get_reward() + + def step_jnt(self,action): + super().step(action) + + def ik_solve(self,pos_goal,quat_goal,Arm): + pos_bias,mat_bias = Arm.get_Arm_bias_frame() + pos_bias = np.array([pos_bias[0],pos_bias[1],pos_bias[2]]) + mat_bias = np.array([[mat_bias[0],mat_bias[1],mat_bias[2]], + [mat_bias[3],mat_bias[4],mat_bias[5]], + [mat_bias[6],mat_bias[7],mat_bias[8]]]) + mat_bias = np.linalg.inv(mat_bias) + mat_goal = T.quat2Mat(quat_goal) + p_goal = mat_bias@(pos_goal-pos_bias) + mat_goal = mat_bias@mat_goal + return Arm.kdl_solver.ikSolver(p_goal, mat_goal, Arm.arm_qpos) + + def reset(self,box_pos): + + self.mj_data.joint('red_box_joint').qpos[0] = box_pos[0] + self.mj_data.joint('red_box_joint').qpos[1] = box_pos[1] + self.mj_data.joint('red_box_joint').qpos[2] = box_pos[2] + self.mj_data.joint('red_box_joint').qpos[3] = 1.0 + self.mj_data.joint('red_box_joint').qpos[4] = 0.0 + self.mj_data.joint('red_box_joint').qpos[5] = 0.0 + self.mj_data.joint('red_box_joint').qpos[6] = 0.0 + super().reset() + self.cam_flage = True + t=0 + while self.cam_flage: + if(type(self.top)==type(None) + or type(self.angle)==type(None) + or type(self.r_vis)==type(None)): + time.sleep(0.001) + t+=1 + else: + self.cam_flage=False + + + + def preStep(self, action): + if isinstance(action,np.ndarray) and len(action)==16: + super().preStep(action) + else: + raise AttributeError("size should be 16") + + def get_env_state(self): + box_pose = np.zeros(3) + for i in range(3): + box_pose[i] = cp.deepcopy(self.mj_data.joint('red_box_joint').qpos[i]) + return box_pose + + + def _get_reward(self): + all_contact_pairs = [] + for collision_num in range(self.mj_data.ncon): + geom1 = self.mj_data.contact[collision_num].geom1 + geom2 = self.mj_data.contact[collision_num].geom2 + name_geom_1 = self.getID2Name('geom',geom1) + name_geom_2 = self.getID2Name('geom',geom2) + contact_pair = (name_geom_1, name_geom_2) + all_contact_pairs.append(contact_pair) + + touch_table = ("l_fingertip_g0_right", "table") in all_contact_pairs or\ + ("l_fingertip_g0_right", "table") in all_contact_pairs + box_touch_table = ("red_box", "table") in all_contact_pairs + touch_left_gripper = ("red_box", "r_finger_left") in all_contact_pairs or\ + ("red_box", "l_finger_left") in all_contact_pairs + touch_right_gripper = ("red_box", "r_finger_right") in all_contact_pairs or\ + ("red_box", "l_finger_right") in all_contact_pairs + + reward = 0 + if touch_right_gripper and not touch_table: + reward = 1 + if touch_right_gripper and not box_touch_table: + reward = 2 + if touch_left_gripper: # attempted transfer + reward = 3 + if touch_left_gripper and not box_touch_table: # successful transfer + reward = 4 + return reward + + +def make_sim_env(task_name): + if 'sim_transfer' in task_name: + from roboimi.assets.robots.diana_med import BiDianaMed + env = DualDianaMed_Pos_Ctrl( + robot=BiDianaMed(), + is_render=True, + control_freq=30, + is_interpolate=True, + cam_view='angle' + ) + return env + else: + raise NotImplementedError + + + + + +if __name__ == "__main__": + task_name = 'sim_transfer' + env = make_sim_env(task_name) + env.reset() + action_l = np.array([-0.20, 1.2, 1.1, + 1.0, 0.0, 0.0, 0.0]) # 双臂直角 + action_r = np.array([0.20, 1.2, 1.1, + 1.0, 0.0, 0.0, 0.0]) + action_gripper = np.array([-100,-100]) + action = np.hstack((action_l,action_r,action_gripper)) + + for t in range(int(10000)): + # print("main step ", t) + env.step(action) + if env.is_render: + env.render() + \ No newline at end of file diff --git a/roboimi/envs/mujoco_base.py b/roboimi/envs/mujoco_base.py new file mode 100644 index 0000000..5c2ad30 --- /dev/null +++ b/roboimi/envs/mujoco_base.py @@ -0,0 +1,214 @@ +import sys +from collections import deque +import mujoco +from mujoco import viewer +import numpy as np +import time + +assert ('linux' in sys.platform) + + +class MujocoEnv(object): + """ This environment is the base class. + + :param xml_path(str): Load xml file from xml_path to build the mujoco model. + :param is_render(bool): Choose if use the renderer to render the scene or not. + :param renderer(str): choose official renderer with "viewer", + another renderer with "mujoco_viewer" + :param control_freq(int): Upper-layer control frequency. + Note that high frequency will cause high time-lag. + """ + + def __init__(self, + robot=None, + is_render=False, + renderer="viewer", + control_freq=1000): + + self.robot = robot + self.is_render = is_render + self.renderer = renderer + self.control_freq = control_freq + + self.mj_model = self.robot.robot_model + self.mj_data = self.robot.robot_data + self.viewer = None + self.cur_time = None + self.timestep = None + self.model_timestep = None + self.control_timestep = None + self.robot_dof = self.robot.jnt_num + self.traj = deque(maxlen=200) + self.render_paused = True + self.exit_flag = False + self._rendererInit() + self._initializeTime(control_freq) + self.mj_time = time.time() + # self._setInitPose() + + def step(self, action): + """ + This method will be called with one-step in mujoco + :param action: Input action + :return: None + """ + self.cur_time += 1 + mujoco.mj_forward(self.mj_model, self.mj_data) + self.preStep(action) + mujoco.mj_step(self.mj_model, self.mj_data) + + def render(self): + """ render mujoco + :return: None + """ + if self.is_render is True and self.viewer is not None: + if self.renderer == "mujoco_viewer": + if self.viewer.is_alive is True: + self.viewer.render() + else: + sys.exit(0) + elif self.renderer == "viewer": + if self.viewer.is_running() and self.exit_flag is False: + self.viewer : viewer.Handle + self.viewer.sync() + else: + self.viewer.close() + # sys.exit(0) + + def _rendererInit(self): + """ Initialize renderer, choose official renderer with "viewer"(joined from version 2.3.3), + another renderer with "mujoco_viewer" + """ + def key_callback(keycode): + if keycode == 32: + self.render_paused = not self.render_paused + elif keycode == 256: + self.exit_flag = not self.exit_flag + if self.is_render is True: + if self.renderer == "mujoco_viewer": + import mujoco_viewer + self.viewer = mujoco_viewer.MujocoViewer(self.mj_model, self.mj_data) + elif self.renderer == "viewer": + self.viewer = viewer.launch_passive(self.mj_model, self.mj_data, key_callback=key_callback,show_left_ui = True, show_right_ui=False) + + def _initializeTime(self, control_freq): + """ Initializes the time constants used for simulation. + + :param control_freq (float): Hz rate to run control loop at within the simulation + """ + self.cur_time = 0 + self.timestep = 0 + self.model_timestep = 0.0005 + self.model_timestep = self.mj_model.opt.timestep + if self.model_timestep <= 0: + raise ValueError("Invalid simulation timestep defined!") + self.control_freq = control_freq + if control_freq <= 0: + raise ValueError("Control frequency {} is invalid".format(control_freq)) + self.control_timestep = 1.0 / control_freq + + def _setInitPose(self): + """ Set or reset init joint position when called env reset func. + + """ + for i in range(len(self.robot.arms)): + for j in range(len(self.robot.arms[i].joint_index)): + self.mj_data.joint(self.robot.arms[i].joint_index[j]).qpos = self.robot.arms[i].init_pose[j] + mujoco.mj_forward(self.mj_model, self.mj_data) + + def renderTraj(self, pos): + """ Render the trajectory from deque above, + you can push the cartesian position into this deque. + + :param pos: One of the cartesian position of the trajectory to render. + """ + if self.renderer == "mujoco_viewer" and self.is_render is True: + if self.cur_time % 10 == 0: + self.traj.append(pos.copy()) + for point in self.traj: + self.viewer.add_marker(pos=point, size=np.array([0.001, 0.001, 0.001]), rgba=np.array([0, 0, 1, 1]), + type=mujoco.mjtGeom.mjGEOM_SPHERE) + + def preStep(self, action): + """ Writes your own codes between mujoco forward and step you want to control. + + :param action: input actions + :return: None + """ + raise NotImplementedError + + def getName2ID(self, mj_type : str, name: str): + if mj_type == 'geom': + input_type = mujoco.mjtObj.mjOBJ_GEOM + elif mj_type == 'body': + input_type = mujoco.mjtObj.mjOBJ_BODY + elif mj_type == 'camera': + input_type = mujoco.mjtObj.mjOBJ_CAMERA + elif mj_type == 'joint': + input_type = mujoco.mjtObj.mjOBJ_JOINT + else: + raise AttributeError("input geom, body, joint, or camera") + return mujoco.mj_name2id(self.mj_model, input_type, name) + + def getID2Name(self, mj_type : str, id : int): + if mj_type == 'geom': + input_type = mujoco.mjtObj.mjOBJ_GEOM + elif mj_type == 'body': + input_type = mujoco.mjtObj.mjOBJ_BODY + elif mj_type == 'camera': + input_type = mujoco.mjtObj.mjOBJ_CAMERA + elif mj_type == 'joint': + input_type = mujoco.mjtObj.mjOBJ_JOINT + else: + raise AttributeError("input geom, body, joint, or camera") + return mujoco.mj_id2name(self.mj_model,input_type, id) + + + def getBodyPos(self, name : str): + return self.mj_data.body(name).xpos + + def getBodyMat(self, name : str): + return (self.mj_data.body(name).xmat).reshape(3,3) + + def getBodyQuat(self, name : str): + return self.mj_data.body(name).xquat + + def reset(self): + """ Reset the simulate environment, in order to execute next episode. + + """ + mujoco.mj_resetData(self.mj_model, self.mj_data) + self._setInitPose() + mujoco.mj_step(self.mj_model, self.mj_data) + + + + # def setupMujocoConfig(self): + # """ Setup mujoco global config while using viewer as renderer. + # It should be noted that the render thread need locked. + # """ + # with self.viewer.lock(): + # self.viewer.opt.flags[mujoco.mjtVisFlag.mjVIS_CONTACTPOINT] = int(self.mj_data.time % 2) + + # def _init_window(self,name='Cam view'): + # ''' + # Only support 2D for now + # ''' + # cv2.namedWindow(name,cv2.WINDOW_NORMAL) + + # def camera_render(self,cam=None): + # rgb = self.render_from_camera(cam) + # rgb = cv2.resize(rgb,(1920,1600)) + # cv2.imshow('Camera view',rgb) + # cv2.waitKey(1) + + # def render_from_camera(self, cam=None): + # self.img_renderer.update_scene(self.mj_data,camera=cam) + # org = self.img_renderer.render() + # img = org[:, :, ::-1] + # return img + + # def Cam_close(self): + # if self.viewer.is_running()==False: + # cv2.destroyAllWindows() + # self.viewer.close() \ No newline at end of file diff --git a/roboimi/envs/pos_ctrl_env.py b/roboimi/envs/pos_ctrl_env.py new file mode 100644 index 0000000..1dbcc37 --- /dev/null +++ b/roboimi/envs/pos_ctrl_env.py @@ -0,0 +1,90 @@ +import numpy as np +from roboimi.envs.single_base import SingleArmEnv +import roboimi.utils.KDL_utils.transform as T + + +class PosCtrlEnv(SingleArmEnv): + def __init__(self, + robot=None, + is_render=True, + renderer="mujoco_viewer", + control_freq=200, + is_interpolate=True, + is_pd=False, + ): + super().__init__( + robot=robot, + is_render=is_render, + renderer=renderer, + control_freq=control_freq, + is_interpolate=is_interpolate + ) + self.p_cart = 0.6 + self.d_cart = 0.05 + self.p_quat = 0.65 + self.d_quat = 0.05 + self.is_pd = is_pd + self._vel_des = np.zeros(3) + + _, r_init_m = self.kdl_solver.getEeCurrentPose(self.robot.single_arm.arm_qpos) + self.init_rot_quat = T.mat2Quat(r_init_m) + + @property + def vel_cur(self): + """ Current velocity, consist of 3*1 cartesian and 4*1 quaternion """ + jac_quat = self.kdl_solver.getJacQuaternion(self.robot.single_arm.arm_qpos) + vel_cur = np.dot(jac_quat, self.robot.single_arm.arm_qvel) + return vel_cur + + @property + def vel_des(self): + """ Desired velocity of 3*1 cartesian position""" + return self._vel_des + + @vel_des.setter + def vel_des(self, value): + self._vel_des = value + + def PDControl(self, p_goal, p_cur, r_goal, r_cur, vel_goal=np.zeros(3)): + pos_incre = self.p_cart * (p_goal - p_cur) + self.d_cart * (vel_goal - self.vel_cur[:3]) + quat_incre = self.p_quat * (r_goal - r_cur) - self.d_quat * self.vel_cur[3:] + return pos_incre, quat_incre + + def step(self, action): + if len(action) != 3 and len(action) != 7: + raise ValueError("Fault action length.") + if self.is_pd is False: + p_goal = action[:3] + r_goal = T.quat2Mat(self.init_rot_quat if len(action) == 3 else action[3:]) + else: + p_cur, r_cur_m = self.kdl_solver.getEeCurrentPose(self.robot.single_arm.arm_qpos) + r_cur = T.mat2Quat(r_cur_m) + r_target = self.init_rot_quat if len(action) == 3 else action[3:] + p_incre, r_incre = self.PDControl(p_goal=action[:3], p_cur=p_cur, + r_goal=r_target, r_cur=r_cur, vel_goal=self.vel_des) + p_goal = p_incre + p_cur + # r_goal = T.quat2Mat(r_incre + r_cur) + r_goal = T.quat2Mat(r_target) + + action = self.kdl_solver.ikSolver(p_goal, r_goal, q_init=self.robot.single_arm.arm_qpos) + return super().step(action) + + +if __name__ == "__main__": + from roboimi.assets.robots.diana_med import DianaMed + + env = PosCtrlEnv( + robot=DianaMed(), + # renderer='viewer', + is_render=True, + control_freq=200, + is_interpolate=True, + is_pd=False + ) + env.reset() + for t in range(int(1e6)): + action = np.array([0.63116, -0.09768533, 0.46947228, 1, 0, 0, 0]) + env.step(action) + print(env.robot.robot_data.body("0_link7").xpos,"\n") + if env.is_render: + env.render() diff --git a/roboimi/envs/rl_env/gym_wrapper.py b/roboimi/envs/rl_env/gym_wrapper.py new file mode 100644 index 0000000..e01a631 --- /dev/null +++ b/roboimi/envs/rl_env/gym_wrapper.py @@ -0,0 +1,32 @@ +import os +import sys + +dir_path = os.path.dirname(os.getcwd()) +sys.path.append(os.path.dirname(dir_path)) + +import numpy as np +import gymnasium +from gymnasium import spaces + + +class GymWrapper(gymnasium.Env): + def __init__(self, env) -> None: + super(GymWrapper, self).__init__() + self.env = env + self.env.cam_start() + + self.action_space = spaces.Box(env.action_low, env.action_high, dtype=np.float32) + self.observation_space = spaces.Box(low=env.obs_low, high=env.obs_high, shape=self.env.obs_dim) + self.max_episode_steps = env.max_episode_steps + self.name = env.name + + def step(self, action): + # print(action) + return self.env.step(action) + + def reset(self, seed = None): + + return self.env.reset() + + def render(self, mode="human"): + self.env.render() diff --git a/roboimi/envs/rl_env/rl_vs_env.py b/roboimi/envs/rl_env/rl_vs_env.py new file mode 100644 index 0000000..b865977 --- /dev/null +++ b/roboimi/envs/rl_env/rl_vs_env.py @@ -0,0 +1,96 @@ +import numpy as np +from roboimi.assets.robots.bidiana_med_vs import BiDianaMedVS +from roboimi.envs.visual_servo.double_vs_base import DualVisualServoEnv +from scipy.spatial.transform import Rotation as RR + +class RLDualVisualServoEnv(DualVisualServoEnv): + def __init__(self, + robot=None, + is_render=False, + renderer="viewer", + control_freq=200, + is_interpolate=False, + ): + super().__init__( + robot=robot, + is_render=is_render, + renderer=renderer, + control_freq=control_freq, + is_interpolate=is_interpolate + ) + self.action_low = -1.0 + self.action_high = 1.0 + self.obs_low = np.concatenate((np.array([-3.1415]*7), + np.array([-3.0]*7), + np.array([-10.0]*3), + np.array([-1.0]*4))) + self.obs_high = np.concatenate((np.array([3.1415]*7), + np.array([3.0]*7), + np.array([10.0]*3), + np.array([1.0]*4))) + self.obs_dim = (21,) + self.max_episode_steps = 1000 + self.name = "vs_env" + + + def preStep(self, action): + return super().preStep(action) + + + def step(self,action): + super().step(action) + done = True + info={} + return self._get_obs(), self._get_reward(), done, True, info + + # rl env must have + def reset(self): + super().reset() + info = {} + return self._get_obs(), info + + + def _get_obs(self): + ''' + obs 0~6: arm jnt pos + obs 7~13: arm vel pos + obs 14~16: arm eef position [x y z] + obs 17~20: arm eef quaternion [w qx qy qz] + ''' + obs = np.zeros(21,dtype=np.float32) + # arm_qpos = np.asarray(self.arm.arm_qpos) + # print(type(arm_qpos[0]),"\n--",type(arm_qpos[1])) + obs[:7] = np.asarray(self.arm.arm_qpos,dtype=np.float32) + obs[7:14] = np.asarray(self.arm.arm_qvel,dtype=np.float32) + obs[14:17] = self.getBodyPos("0_end_effector") + obs[17:21] = self.getBodyQuat("0_end_effector") + return obs + + + def _get_reward(self): + reward = 0.0 + return reward + + +if __name__ == "__main__": + try: + from roboimi.assets.robots.bidiana_med_vs import BiDianaMedVS + env = RLDualVisualServoEnv( + robot=BiDianaMedVS(), + is_render=True, + control_freq=200, + is_interpolate=True, + ) + env.reset() + env.cam_start() + for t in range(int(1e6)): + # action = np.array([0.63116, -0.09768533, 0.46947228, 1, 1, 0, 0.63116, -0.09768533, 0.46947228, 1, 0, 0]) + # action = np.zeros(12) + # action[0] = 1.0 + # action[6] = 1.0 + # env.step(action) + env.step() + if env.is_render: + env.render() + except: + KeyboardInterrupt \ No newline at end of file diff --git a/roboimi/envs/rl_env/vs_env.py b/roboimi/envs/rl_env/vs_env.py new file mode 100644 index 0000000..1aa538f --- /dev/null +++ b/roboimi/envs/rl_env/vs_env.py @@ -0,0 +1,21 @@ +from roboimi.envs.rl_env.gym_wrapper import GymWrapper +from roboimi.envs.visual_servo.double_vs_base import DualVisualServoEnv +import gymnasium as gym +from stable_baselines3 import PPO, SAC, TD3 +from stable_baselines3.common.env_checker import check_env +from gymnasium.wrappers import TimeLimit +from roboimi.assets.robots.bidiana_med_vs import BiDianaMedVS + +def run_train(): + env = DualVisualServoEnv( + robot=BiDianaMedVS(), + is_render=True, + control_freq=200, + is_interpolate=True + ) + env = GymWrapper(env) + env = TimeLimit(env, max_episode_steps=env.max_episode_steps) + # check_env(env) + +if __name__ == '__main__': + run_train() \ No newline at end of file diff --git a/roboimi/envs/single_base.py b/roboimi/envs/single_base.py new file mode 100644 index 0000000..3863168 --- /dev/null +++ b/roboimi/envs/single_base.py @@ -0,0 +1,140 @@ +import numpy as np +import time +from roboimi.envs.mujoco_base import MujocoEnv +from roboimi.utils.KDL_utils import KDL_utils +import mujoco as mj + + +class SingleArmEnv(MujocoEnv): + """ + + :param xml_path(string): Load xml file from xml_path to build the mujoco model. + :param is_render: Choose if use the renderer to render the scene or not. + :param renderer: Choose official renderer with "viewer", + another renderer with "mujoco_viewer" + :param control_freq: Upper-layer control frequency. + Note that high frequency will cause high time-lag. + :param is_interpolate: Use interpolator while stepping. + """ + + def __init__(self, + robot=None, + is_render=False, + renderer="viewer", + control_freq=200, + is_interpolate=False + ): + + super().__init__( + robot=robot, + is_render=is_render, + renderer=renderer, + control_freq=control_freq + ) + self.kdl_solver = KDL_utils(robot.urdf_path) + self.base_time = self.control_timestep + self.nv = self.mj_model.nv + self.interpolator = None + self.pstep = 0 + self.sstep = 0 + if is_interpolate: + self._initInterpolator(self.robot.single_arm) + + def actuate_base(self, base): + for i in range(len(self.robot.base_joint_index)): + acc_desire = 100 * (base - self.mj_data.joint(self.robot.base_joint_index[i]).qpos[0]) - \ + 66 * (self.mj_data.joint(self.robot.base_joint_index[i]).qvel[0]) + + tau_target = np.subtract(np.dot(2, acc_desire), + self.mj_data.joint(self.robot.base_joint_index[i]).qfrc_bias[0]) + self.mj_data.actuator('base_stand_joint_motor').ctrl = tau_target + + def actuate_J(self, q_target, qdot_target, Arm): + """ Compute desired torque with robot dynamics modeling: + > M(q)qdd + C(q, qd)qd + G(q) + tau_F(qd) = tau_ctrl + tau_env + + :param q_target: joint position + :param qdot_target: joint velocity + """ + # print(Arm.kdl_solver.NbOfJnt) + acc_desire = [ + (self.robot.kp[i] * (q_target[i] - Arm.arm_qpos[i]) - + (self.robot.kd[i] * Arm.arm_qvel[i])) for i in range(Arm.jnt_num)] + qM = Arm.kdl_solver.getInertiaMat([Arm.arm_qpos[i] for i in range(len(Arm.joint_index))]) + tau_target = np.dot(qM, acc_desire) + np.array( + [self.mj_data.joint(Arm.joint_index[i]).qfrc_bias[0] for i in range(len(Arm.joint_index))]) + # Send torque to simulation + for i in range(7): + self.mj_data.actuator(Arm.actuator_index[i]).ctrl = tau_target[i] + + def preStep(self, action): + q_target, qdot_target = action, np.zeros(self.robot_dof) + self.pstep += 1 + if self.interpolator is not None: + try: + q_target, qdot_target = self.interpolator.updateState() + except ValueError: + print(action) + self.actuate_J(q_target, qdot_target, self.robot.single_arm) + # for i in range(7): + # self.mj_data.joint(self.robot.single_arm.joint_index[i]).qpos[0] = q_target[i] + + def step(self, action): + if self.interpolator is not None: + self.interpolator.updateInput(action, control_cycle=self.base_time) + + ctrl_cur_time = time.time() + for i in range(int(self.control_timestep / self.model_timestep)): + if int(self.control_timestep / self.model_timestep) == 0: + raise ValueError("Control frequency is too low. Checkout you are not in renderer mode." + "Current Model-Timestep:{}".format(self.model_timestep)) + + super().step(action) + self.base_time = time.time() - ctrl_cur_time + self.sstep += 1 + + def _initInterpolator(self, Arm): + from roboimi.utils.interpolators import OTG + self.interpolator = OTG( + OTG_Dof=self.robot_dof, + control_cycle=0.0005, + max_velocity=0.05, + max_acceleration=0.1, + max_jerk=0.2 + ) + self.interpolator.setOTGParam(Arm.arm_qpos, Arm.arm_qvel) + + def reset(self): + super().reset() + if self.interpolator is not None: + self.interpolator.setOTGParam(self.robot.single_arm.arm_qpos, + np.zeros(self.robot_dof)) + + +if __name__ == "__main__": + try: + from roboimi.assets.robots.diana_med import DianaMed + + env = SingleArmEnv( + robot=DianaMed(), + is_render=True, + control_freq=200, + is_interpolate=True + ) + env.reset() + for t in range(int(10000)): + # if t == 1000: + + action = np.array([0.0, 0.0, 0.0, 1.57, 0.0, 0.0, 0.0]) + + env.step(action) + print(env.robot.robot_data.body("0_link1").xpos,"\n") + + if env.is_render: + env.render() + # print("s=",env.sstep) + # print("p=",env.pstep) + except KeyboardInterrupt: + print("finish") + # print("s=",env.sstep) + # print("p=",env.pstep) \ No newline at end of file diff --git a/roboimi/envs/visual_servo/double_cam_aruco_base.py b/roboimi/envs/visual_servo/double_cam_aruco_base.py new file mode 100644 index 0000000..b78a10c --- /dev/null +++ b/roboimi/envs/visual_servo/double_cam_aruco_base.py @@ -0,0 +1,274 @@ +import numpy as np +import time, math +from roboimi.envs.mujoco_base import MujocoEnv +import cv2 +from roboimi.utils.interpolators import OTG +import mujoco as mj +import threading +from scipy.spatial.transform import Rotation as RR + + +class DualArmCamAruEnv(MujocoEnv): + """ + + :param is_render: Choose if use the renderer to render the scene or not. + :param renderer: Choose official renderer with "viewer", + another renderer with "mujoco_viewer" + :param control_freq: Upper-layer control frequency. + Note that high frequency will cause high time-lag. + :param is_interpolate: Use interpolator while stepping. + """ + + def __init__(self, + robot=None, + is_render=False, + renderer="viewer", + control_freq=200, + is_interpolate=False + ): + super().__init__( + robot=robot, + is_render=is_render, + renderer=renderer, + control_freq=control_freq + ) + self.arm = self.robot.left_arm + self.aruco_arm = self.robot.aruco_arm + self.base_time = self.control_timestep + self.nv = self.mj_model.nv + if is_interpolate: + self._initInterpolator(self.arm) + self._initInterpolator(self.aruco_arm) + self.marker_size = 0.05 + self.aruco_dict = 'DICT_4X4_100' + self.distCoeffs = np.zeros(5) + self.aruco_parameters = cv2.aruco.DetectorParameters() + self.cameraMatrix = self.fov2Intrinsic() + + self.Detected_already = False + self.image = None + + def action_size(self): + return self.robot.jnt_num + + def fov2Intrinsic(self,fovy=55.0, width=320, height=240): + aspect = width * 1.0 / height + fovx = math.degrees(2 * math.atan(aspect * math.tan(math.radians(fovy / 2)))) + + cx = width / 2.0 + cy = height / 2.0 + fx = cx / math.tan(fovx * math.pi / 180 * 0.5) + fy = cy / math.tan(fovy * math.pi / 180 * 0.5) + + K = [[fx, 0, cx], + [0, fy, cy], + [0, 0, 1]] + return np.array(K, dtype=float) + + def camera_viewer(self): + img_renderer = mj.Renderer(self.mj_model) + cv2.namedWindow('Cam view',cv2.WINDOW_NORMAL) + while True: + img_renderer.update_scene(self.mj_data, camera="0_cam") + org = img_renderer.render() + self.image = org[:, :, ::-1] + cv2.imshow('Cam view', self.image) + cv2.waitKey(1) + + def cam_start(self): + cam_thread = threading.Thread(target=self.camera_viewer) + cam_thread.daemon = True + cam_thread.start() + + + def actuate_base(self, base): + for i in range(len(self.robot.base_joint_index)): + acc_desire = 100 * (base - self.mj_data.joint(self.robot.base_joint_index[i]).qpos[0]) - \ + 66 * (self.mj_data.joint(self.robot.base_joint_index[i]).qvel[0]) + tau_target = np.subtract(np.dot(2, acc_desire), + self.mj_data.joint(self.robot.base_joint_index[i]).qfrc_bias[0]) + self.mj_data.actuator(self.robot.base_actuator_index[i]).ctrl = tau_target + + def actuate_J(self, q_target, qdot_target, Arm): + """ Compute desired torque with robot dynamics modeling: + > M(q)qdd + C(q, qd)qd + G(q) + tau_F(qd) = tau_ctrl + tau_env + + :param q_target: joint position + :param qdot_target: joint velocity + """ + acc_desire = [self.robot.kp[i] * (q_target[i] - Arm.arm_qpos[i]) - + self.robot.kd[i] * Arm.arm_qvel[i] for i in range(len(Arm.joint_index))] + qM = Arm.kdl_solver.getInertiaMat([Arm.arm_qpos[i] for i in range(len(Arm.joint_index))]) + tau_target = np.dot(qM, acc_desire) + np.array([self.mj_data.joint(Arm.joint_index[i]).qfrc_bias[0] for i in + range(len(Arm.joint_index))]) + # Send torque to simulation + for i in range(len(Arm.actuator_index)): + self.mj_data.actuator(Arm.actuator_index[i]).ctrl = tau_target[i] + + def aruco_detection(self): + try: + if self.aruco_dict != "DICT_4X4_100": + raise ValueError("Invalid aruco dictionary ID: " + self.aruco_dict) + except ValueError as e: + print(str(e)) + dictionary_id = cv2.aruco.__getattribute__(self.aruco_dict) + aruco_dictionary = cv2.aruco.getPredefinedDictionary(dictionary_id) + R_vec = np.array([0.0, 0.0, 0.0]) + T_vec = np.array([0.0, 0.0, 0.0]) + if self.image is not None: + corners, marker_ids, _ = cv2.aruco.detectMarkers(self.image, + aruco_dictionary, self.cameraMatrix, self.distCoeffs, + parameters=self.aruco_parameters) + if marker_ids is not None: + self.Detected_already = True + if cv2.__version__ > '4.0.0': + rvecs, tvecs, _ = cv2.aruco.estimatePoseSingleMarkers(corners, + self.marker_size, self.cameraMatrix, + self.distCoeffs) + else: + rvecs, tvecs = cv2.aruco.estimatePoseSingleMarkers(corners, + self.marker_size, self.cameraMatrix, + self.distCoeffs) + T_vec = np.array([tvecs[0][0][0], tvecs[0][0][1], tvecs[0][0][2]]) + R_vec = np.array([rvecs[0][0][0], rvecs[0][0][1], rvecs[0][0][2]]) + else: + self.Detected_already = False + + return R_vec, T_vec + + + def mj_aruco_detection(self): + try: + if self.aruco_dict != "DICT_4X4_100": + raise ValueError("Invalid aruco dictionary ID: " + self.aruco_dict) + except ValueError as e: + print(str(e)) + dictionary_id = cv2.aruco.__getattribute__(self.aruco_dict) + aruco_dictionary = cv2.aruco.getPredefinedDictionary(dictionary_id) + rvec = np.zeros(3) + tvec = np.zeros(3) + # print("llll") + if self.image is not None: + corners, marker_ids, _ = cv2.aruco.detectMarkers(self.image, + aruco_dictionary, self.cameraMatrix, self.distCoeffs, + parameters=self.aruco_parameters) + + if marker_ids is not None: + self.Detected_already = True + ''' + create aruco Transformation + w : world frame of mujoco + a : aruco frame + c : camera frame + ''' + t_wa = self.getBodyPos("aruco") + R_wa = self.getBodyMat("aruco") + T_wa = np.eye(4) + T_wa[:3,:3] = R_wa + T_wa[:3,3] = t_wa + + t_wc = self.getBodyPos("0_cam") + R_wc = self.getBodyMat("0_cam") + T_wc = np.eye(4) + T_wc[:3,:3] = R_wc + T_wc[:3,3] = t_wc + T_cw = np.linalg.inv(T_wc) + T_ca = T_cw@T_wa + R_ca = T_ca[:3,:3] + t_ca = T_ca[:3,3] + rvec = RR.from_matrix(R_ca).as_rotvec() + tvec = t_ca + + else: + self.Detected_already = False + # rvec = np.zeros(3) + # tvec = np.zeros(3) + + return rvec, tvec, self.Detected_already + + + + def preStep(self, action): + q_target_l = action[1:8] + qdot_target_l = np.zeros(self.arm.jnt_num) + q_target_r, qdot_target_r = action[8:15], np.zeros(self.aruco_arm.jnt_num) + + if self.arm.interpolator and self.aruco_arm.interpolator is not None: + q_target_l, qdot_target_l = self.arm.interpolator.updateState() + q_target_r, qdot_target_r = self.aruco_arm.interpolator.updateState() + + self.actuate_J(q_target_l, qdot_target_l, self.arm) + self.actuate_J(q_target_r, qdot_target_r, self.aruco_arm) + + + def step(self, action): + ''' + action : base 1 + left 7 + right 7 + ''' + if self.arm.interpolator and self.aruco_arm.interpolator is not None: + self.arm.interpolator.updateInput(action[1:8], control_cycle=self.base_time) + self.aruco_arm.interpolator.updateInput(action[8:15], control_cycle=self.base_time) + + ctrl_cur_time = time.time() + for i in range(int(self.control_timestep / self.model_timestep)): + if int(self.control_timestep / self.model_timestep) == 0: + raise ValueError("Control frequency is too low. Checkout you are not in renderer mode." + "Current Model-Timestep:{}".format(self.model_timestep)) + super().step(action) + + self.base_time = time.time() - ctrl_cur_time + + + def reset(self): + self._setInitPose() + mj.mj_step(self.mj_model, self.mj_data) + + + def _initInterpolator(self, Arm): + Arm.interpolator = OTG( + OTG_Dof=7, + control_cycle=0.0005, + max_velocity=0.05, + max_acceleration=0.1, + max_jerk=0.2 + ) + Arm.interpolator.setOTGParam(Arm.init_pose, np.zeros(Arm.jnt_num)) + + + +# if __name__ == "__main__": +# from roboimi.assets.robots.bidiana_med_vs import BiDianaMedVS + +# env = DualArmCamAruEnv( +# robot=BiDianaMedVS(), +# is_render=True, +# control_freq=200, +# is_interpolate=True +# ) + +# env.reset() +# env.cam_start() +# action_base = np.array([0.0]) +# # action_L = np.array([0.0, -0.4943951023931953, 0.0, 1.853981633974483, 0.0, 0.7853981633974483, 0.0]) #basic pos +# # action_R = np.array([0.0, -0.1943951023931953, 0.0, 2.153981633974483, 0.0, 0.7853981633974483, 0.0]) #basic pos +# action_L = np.zeros(7) +# action_R = np.zeros(7) +# action_L[3] = 1.57 +# action_R[3] = 1.57 +# for t in range(int(1e6)): +# action_L[3] = action_L[3] + 0.0000001*t +# action = np.concatenate((action_base, action_L, action_R), axis=0) +# # print("pos=",env.mj_data.body("link7").xpos,"\n") +# # print("kdl solve p ==",env.arm.kdl_solver.getEEtf(action_L).p,"\n") +# # print("mat=\n",env.mj_data.body("link7").xmat[0:3],"\n") +# # print("mat=\n",env.mj_data.body("link7").xmat[3:6],"\n") +# # print("mat=\n",env.mj_data.body("link7").xmat[6:9],"\n") +# # print("kdl solve M ==\n",env.arm.kdl_solver.getEEtf(action_L).M,"\n") +# # print("===================================") +# print(action_L) +# env.step(action) +# if env.is_render: +# env.render() + diff --git a/roboimi/envs/visual_servo/double_vs_base.py b/roboimi/envs/visual_servo/double_vs_base.py new file mode 100644 index 0000000..ea28482 --- /dev/null +++ b/roboimi/envs/visual_servo/double_vs_base.py @@ -0,0 +1,341 @@ +import numpy as np +from roboimi.assets.robots.bidiana_med_vs import BiDianaMedVS +from roboimi.envs.visual_servo.double_cam_aruco_base import DualArmCamAruEnv +import roboimi.utils.KDL_utils.transform as T +import math +from scipy.spatial.transform import Rotation as RR + + + + +class DualVisualServoEnv(DualArmCamAruEnv): + """ + :param is_render: Choose if use the renderer to render the scene or not. + :param renderer: Choose official renderer with "viewer", + another renderer with "mujoco_viewer" + :param control_freq: Upper-layer control frequency. + Note that high frequency will cause high time-lag. + :param is_interpolate: Use interpolator while stepping. + """ + def __init__(self, + robot=None, + is_render=False, + renderer="viewer", + control_freq=200, + is_interpolate=False, + ): + super().__init__( + robot=robot, + is_render=is_render, + renderer=renderer, + control_freq=control_freq, + is_interpolate=is_interpolate + ) + self.t_ec = np.array([0.065054, 0.00068038, -0.013835]) #from XML (note: ec = description of cam pos vector based on end-effector) + self.quat_ec = np.array([-2.59734e-06, 0.707105, 0.707108, -2.59735e-06]) + self.R_ec = RR.from_quat([0.707105, 0.707108, -2.59735e-06, -2.59734e-06]).as_matrix() #from XML (note: w x y z in XML but x y z w in RR) + self.arm_base_pos,self.arm_base_mat = self.arm.CartPoseComp() + self.aruco_base_pos,self.aruco_base_mat = self.aruco_arm.CartPoseComp() + self.rvec = None + self.tvec = None + self.rv = None + self.tv = None + self.dt = 0.01 + self.prev_err = np.zeros(6) + self.detect_buf = [] + self.is_detect = True + # self.object_to_desire_camera = np.array([[ 0.999612, -0.010182, 0.02593, -0.022], + # [-0.009818, -1.000338, -0.01413, 0.002], + # [ 0.02607, 0.01387, -1.00005, 0.167], + # [ 0, 0, 0, 1]]) + # self.kp = 1 + + + # rvec = np.array([-2.16881568 , 2.16116001 , 0.09872025]) + rvec = np.array([0.0,0.0,1.5708]) + # tvec = np.array([0.00480954, -0.02087546, 0.23213283]) + tvec = np.array([0.0,0.0,0.3]) + # tvec = np.array([0.00480954, -0.12087546, 0.23213283]) + + rmat = RR.from_rotvec(rvec).as_matrix() + self.T_cam_aruco = np.eye(4) + self.T_cam_aruco[:3,:3] = rmat + self.T_cam_aruco[:3,3] = tvec + T_aruco_cam = np.linalg.inv(self.T_cam_aruco) + self.object_to_desire_camera = T_aruco_cam + self.T_acd = T_aruco_cam + + + def getEEVel(self,Arm): + current_qpos = Arm.arm_qpos + current_qvel = Arm.arm_qvel + current_q_states = Arm.kdl_solver.setJntArrayVel(current_qpos,current_qvel) + twist = Arm.kdl_solver.fkSolverVel(current_q_states) + return twist + + def Vel2qpos(self,cart_vel,Arm): + ''' + frame world : w + frame cam : c + cart vel : V_wc (v_wc, w_wc) + ''' + _,mat_bias = Arm.get_Arm_bias_frame() #R_wb + mat_bias = np.array([[mat_bias[0],mat_bias[1],mat_bias[2]], + [mat_bias[3],mat_bias[4],mat_bias[5]], + [mat_bias[6],mat_bias[7],mat_bias[8]]]) + mat_bias = np.linalg.inv(mat_bias) #R_bw + current_qpos = Arm.arm_qpos + cart_vel[:3] = mat_bias@cart_vel[:3] #v_bc = R_bw@v_wc + cart_vel[3:] = mat_bias@cart_vel[3:] #w_bc = R_bw@w_wc + qvel = Arm.kdl_solver.diffikSolver(current_qpos,cart_vel) + qpos = qvel*self.dt + current_qpos + return qpos + + def ik_solve(self,pos_goal : np.ndarray, quat_goal : np.ndarray, Arm): + pos_bias,mat_bias = Arm.get_Arm_bias_frame() + pos_bias = np.array([pos_bias[0],pos_bias[1],pos_bias[2]]) + mat_bias = np.array([[mat_bias[0],mat_bias[1],mat_bias[2]], + [mat_bias[3],mat_bias[4],mat_bias[5]], + [mat_bias[6],mat_bias[7],mat_bias[8]]]) + mat_bias = np.linalg.inv(mat_bias) + mat_goal = T.quat2Mat(quat_goal) + p_goal = mat_bias@(pos_goal-pos_bias) + mat_goal = mat_bias@mat_goal + return Arm.kdl_solver.ikSolver(p_goal, mat_goal, Arm.arm_qpos) + + def error_derivation(self,current_err): + dot = np.array([0.0,0.0,0.0,0.0,0.0,0.0]) + for i in range(6): + dot[i] = (current_err[i] - self.prev_err[i])/self.dt + return dot[:3],dot[3:] + # def pbvs_controller(self, aruco_to_cam_r, aruco_to_cam_p): + # t_acd = self.desire_p + # # print(aruco_to_cam_r) + # t_ca = aruco_to_cam_p + # R_ca = RR.from_rotvec(aruco_to_cam_r).as_matrix() + # t_ac = np.linalg.inv(R_ca)@t_ca.reshape(3, 1) + # R_acd = RR.from_quat(self.desire_r).as_matrix() + # R_ccd = R_ca@R_acd + # thu = RR.from_matrix(R_ccd).as_rotvec() + # T_ca_s = np.array([[ 0, -t_ca[2], t_ca[1]], + # [ t_ca[2], 0, -t_ca[0]], + # [-t_ca[1], t_ca[0], 0]]) + # w_cam = thu.reshape(3, 1) + # w_cam = np.zeros(3).reshape(3,1) + # v_cam = -(R_ca@(t_acd - t_ac)+ T_ca_s@w_cam) + + # error = np.concatenate([v_cam,w_cam],axis=0) + # R_bc = self.getBodyMat("0_end_effector")@self.R_ec + # # R_bc = np.eye(3) + # Rv = np.vstack((np.hstack((R_bc, np.zeros((3, 3)))), + # np.hstack((np.zeros((3, 3)), R_bc)))) + # V_camera = np.matmul(Rv, error) + # return V_camera + + + def pbvs_controller_origin(self, gain, kp, aruco_to_cam_r, aruco_to_cam_p): + # gain = 1E-02 + var_lambda = kp + t_ca = aruco_to_cam_p + r_ca = aruco_to_cam_r + R_ca = RR.from_rotvec(r_ca).as_matrix() + T_ca = np.eye(4) + T_ca[:3,:3] = R_ca + T_ca[:3,3] = t_ca + T_ccd = T_ca@self.T_acd + R_ccd = T_ccd[:3,:3] + T_cdc = np.linalg.inv(T_ccd) #formulation needed + + t_cdc = T_cdc[:3,3] + R_cdc = T_cdc[:3,:3] + thu = RR.from_matrix(R_cdc).as_rotvec() + err_v = R_ccd@t_cdc + error = np.concatenate([err_v,thu]) + if np.linalg.norm(error) > gain: + Lin_v = -var_lambda*err_v + Ang_v = -var_lambda*thu + Vcam = np.concatenate([Lin_v,Ang_v]) + R_wc = self.getBodyMat("0_cam") + Rv = np.vstack((np.hstack((R_wc, np.zeros((3, 3)))), + np.hstack((np.zeros((3, 3)), R_wc)))) + output = np.matmul(Rv,Vcam) + print("cam vel=",output) + return output + else: + print("err don't exist ") + return np.zeros(6) + + def pbvs_controller_PD(self, gain, kp, kd, aruco_to_cam_r, aruco_to_cam_p): + var_lambda = kp + t_ca = aruco_to_cam_p + r_ca = aruco_to_cam_r + R_ca = RR.from_rotvec(r_ca).as_matrix() + T_ca = np.eye(4) + T_ca[:3,:3] = R_ca + T_ca[:3,3] = t_ca + T_ccd = T_ca@self.T_acd + R_ccd = T_ccd[:3,:3] + T_cdc = np.linalg.inv(T_ccd) #formulation needed + + t_cdc = T_cdc[:3,3] + R_cdc = T_cdc[:3,:3] + # print("here") + thu = RR.from_matrix(R_cdc).as_rotvec() + err_t = R_ccd@t_cdc + error = np.concatenate([err_t,thu]) + err_v,err_w = self.error_derivation(error) + if np.linalg.norm(error) > gain: + Lin_v = -(var_lambda*err_t + kd*err_v) + Ang_v = -(var_lambda*thu + kd*err_w) + self.prev_err = error + Vcam = np.concatenate([Lin_v,Ang_v]) + R_wc = self.getBodyMat("0_cam") + Rv = np.vstack((np.hstack((R_wc, np.zeros((3, 3)))), + np.hstack((np.zeros((3, 3)), R_wc)))) + output = np.matmul(Rv,Vcam) + print("cam vel=",output) + return output + else: + print("err don't exist ") + return np.zeros(6) + + # def quat_to_axis_angle(self,q): + # a, b, c, d = q + # v = np.array([a, b, c]) + # angle = 2 * np.arccos(d) + # if angle == 0: + # axis = np.array([1, 0, 0]) + # else: + # axis = v / np.linalg.norm(v) + # axis *= np.sin(angle / 2) + # return axis, angle + + # def pbvs_controller_PD(self,aruco_to_cam_r, aruco_to_cam_p): + # t_acd = self.object_to_desire_camera[:3,3] + # # R_acd = RR.from_quat(self.desire_quat).as_matrix() + # R_acd = self.object_to_desire_camera[:3,:3] + # T_acd = np.eye(4) + # T_acd[:3,:3] = R_acd + # T_acd[:3,3] = t_acd.reshape(1,3) + # t_ca = aruco_to_cam_p + # R_ca = RR.from_rotvec(aruco_to_cam_r).as_matrix() + # T_ca = np.eye(4) + # T_ca[:3,:3] = R_ca + # T_ca[:3,3] = t_ca + # T_ac = np.linalg.inv(T_ca) + # T_ccd = T_ca@T_acd + + # R_ccd = T_ccd[:3,:3] # for test + # T_cdc = np.linalg.inv(T_ccd) + # R_cdc = T_cdc[:3,:3] + # t_cdc = T_cdc[:3,3] + + # gain = 1E-04 + # t_ac = T_ac[:3,3] + # t_ac_s = np.array([[ 0, -t_ac[2], t_ac[1]], + # [ t_ac[2], 0, -t_ac[0]], + # [-t_ac[1], t_ac[0], 0]]) + # s_x = -t_cdc[0] + # s_y = -t_cdc[1] + # s_z = -t_cdc[2] + # q = RR.from_matrix(R_cdc).as_quat() + # # q = RR.from_matrix(R_ccd).as_quat() + # rotvec = RR.from_quat(q).as_rotvec() + # axis, angle = self.quat_to_axis_angle(q) + # axis_s = np.array([[ 0, -axis[2], axis[1]], + # [ axis[2], 0, -axis[0]], + # [-axis[1], axis[0], 0]]) + # L_theta_u = np.eye(3) - angle/2 * axis_s + (1 - np.sinc(angle)/(np.sinc(angle/2)*np.sinc(angle/2))) * np.dot(axis_s,axis_s) + + # Le_inv = np.vstack(( np.hstack((-np.eye(3), np.dot(t_ac_s,np.linalg.inv(L_theta_u)))), + # np.hstack((np.zeros((3,3)), np.linalg.inv(L_theta_u))))) + # error = np.array([s_x, s_y, s_z, rotvec[0], rotvec[1], rotvec[2]]) + # # error = np.array([s_x, s_y, s_z, 0.0,0.0,0.0]) + # # print(error) + + # u = self.kp * error + + # R_bc = self.getBodyMat("0_end_effector")@self.R_ec + # R_cb = np.linalg.inv(R_bc) + + # if np.linalg.norm(error) < gain : + # return np.zeros(6) + # else: + # print("has error") + # v = - np.dot(Le_inv , u) + # Rv = np.vstack((np.hstack((R_cb, np.zeros((3,3)))), + # np.hstack((np.zeros((3,3)), R_cb)))) + # v = np.dot(Rv,v) + # # v[3] = 0 + # # v[4] = 0 + # # v[5] = 0 + + # v[0] = 0 + # v[1] = 0 + # v[2] = 0 + + # return v + + def reset(self): + self.is_detect = True + self.detect_buf = [] + super().reset() + + + def step(self,actions): + # self.rvec,self.tvec = self.aruco_detection() + self.rv,self.tv, detect_res = self.mj_aruco_detection() #from cam frame, coordinate refered to aruco + self.detect_buf.append(detect_res) + if len(self.detect_buf) == 300: + if not any(self.detect_buf) : + self.is_detect = False + else: + self.is_detect = True + self.detect_buf = [] + + + + # print("in step self.tv=",self.tv) + # print("in step self.rv=",self.rv) + if self.Detected_already: + vel = self.pbvs_controller_origin(1E-04, actions, self.rv,self.tv) + # vel = actions from PPO + # vel = self.pbvs_controller_PD(1E-04, 0.9, 0.01,self.rv,self.tv) + action_cam = self.Vel2qpos(vel,self.arm) + + else: + action_cam = np.array([0.0,0.0,0.0,1.5708,0.0,0.0,0.0]) + action_aruco = np.array([0.0,0.0,0.0,1.5708,0.0,0.0,0.0]) + action = np.concatenate(([0.0], action_cam, action_aruco), axis=0) + + print("if detected==", self.Detected_already) + # action = np.array([0.0, + # 0.0,0.0,0.0,1.67,0.0,0.0,0.0, + # 0.0,0.0,0.0,1.57,0.0,0.05,0.0]) + + super().step(action) + + +if __name__ == "__main__": + try: + from roboimi.assets.robots.bidiana_med_vs import BiDianaMedVS + env = DualVisualServoEnv( + robot=BiDianaMedVS(), + is_render=True, + control_freq=200, + is_interpolate=True, + ) + env.reset() + env.cam_start() + + for t in range(int(1e6)): + # action = np.array([0.63116, -0.09768533, 0.46947228, 1, 1, 0, 0.63116, -0.09768533, 0.46947228, 1, 0, 0]) + # action = np.zeros(12) + # action[0] = 1.0 + # action[6] = 1.0 + # env.step(action) + env.step() + if env.is_render: + env.render() + except: + KeyboardInterrupt \ No newline at end of file diff --git a/roboimi/envs/visual_servo/double_vs_ros.py b/roboimi/envs/visual_servo/double_vs_ros.py new file mode 100644 index 0000000..67df09f --- /dev/null +++ b/roboimi/envs/visual_servo/double_vs_ros.py @@ -0,0 +1,207 @@ +import numpy as np +from roboimi.assets.robots.bidiana_med_vs import BiDianaMedVS +from roboimi.envs.visual_servo.double_vs_base import DualVisualServoEnv +import roboimi.utils.KDL_utils.transform as T +import cv2 +from scipy.spatial.transform import Rotation as RR +import rclpy +from rclpy.node import Node +from geometry_msgs.msg import PoseArray, Pose +from tf2_ros import TransformBroadcaster,StaticTransformBroadcaster +from geometry_msgs.msg import TransformStamped + + +class DualVisualServoRosEnv(DualVisualServoEnv): + def __init__(self, + robot=None, + is_render=False, + renderer="viewer", + control_freq=200, + is_interpolate=False, + ): + super().__init__( + robot=robot, + is_render=is_render, + renderer=renderer, + control_freq=control_freq, + is_interpolate=is_interpolate + ) + rclpy.init() + self.node = Node('visual_servo_tf_node') + self.tf_broadcaster_aruco_detect = TransformBroadcaster(self.node) + self.tf_broadcaster_ee = TransformBroadcaster(self.node) + self.tf_broadcaster_aruco_ee = TransformBroadcaster(self.node) + self.tf_broadcaster_mj_cam = TransformBroadcaster(self.node) + + self.tf_broadcaster_base = StaticTransformBroadcaster(self.node) + self.tf_broadcaster_aruco_base = StaticTransformBroadcaster(self.node) + self.tf_broadcaster_cam = StaticTransformBroadcaster(self.node) + self.tf_broadcaster_cam_desire = StaticTransformBroadcaster(self.node) + + + def step(self): + super().step() + + #----------------------------------------------------------- + t_base = TransformStamped() + t_base.header.stamp = self.node.get_clock().now().to_msg() + t_base.header.frame_id = 'world' + t_base.child_frame_id = 'base_link' + pos_bs = self.getBodyPos("base_link") + quat_bs = self.getBodyQuat("base_link") + + t_base.transform.translation.x = pos_bs[0] + t_base.transform.translation.y = pos_bs[1] + t_base.transform.translation.z = pos_bs[2] + + t_base.transform.rotation.x = quat_bs[1] + t_base.transform.rotation.y = quat_bs[2] + t_base.transform.rotation.z = quat_bs[3] + t_base.transform.rotation.w = quat_bs[0] + self.tf_broadcaster_base.sendTransform(t_base) + + #------------------------------------------------------------- + t_base_a = TransformStamped() + t_base_a.header.stamp = self.node.get_clock().now().to_msg() + t_base_a.header.frame_id = 'world' + t_base_a.child_frame_id = 'aruco_base_link' + pos_bs_a = self.getBodyPos("base_link_aruco") + quat_bs_a = self.getBodyQuat("base_link_aruco") + + t_base_a.transform.translation.x = pos_bs_a[0] + t_base_a.transform.translation.y = pos_bs_a[1] + t_base_a.transform.translation.z = pos_bs_a[2] + + t_base_a.transform.rotation.x = quat_bs_a[1] + t_base_a.transform.rotation.y = quat_bs_a[2] + t_base_a.transform.rotation.z = quat_bs_a[3] + t_base_a.transform.rotation.w = quat_bs_a[0] + self.tf_broadcaster_aruco_base.sendTransform(t_base_a) + + #-------------------------------------------------------------- + t_aruco_ee = TransformStamped() + t_aruco_ee.header.stamp = self.node.get_clock().now().to_msg() + t_aruco_ee.header.frame_id = 'world' + t_aruco_ee.child_frame_id = 'aruco_ee_link' + pos_aruco_ee = self.getBodyPos("aruco") + quat_aruco_ee = self.getBodyQuat("aruco") + + t_aruco_ee.transform.translation.x = pos_aruco_ee[0] + t_aruco_ee.transform.translation.y = pos_aruco_ee[1] + t_aruco_ee.transform.translation.z = pos_aruco_ee[2] + t_aruco_ee.transform.rotation.x = quat_aruco_ee[1] + t_aruco_ee.transform.rotation.y = quat_aruco_ee[2] + t_aruco_ee.transform.rotation.z = quat_aruco_ee[3] + t_aruco_ee.transform.rotation.w = quat_aruco_ee[0] + self.tf_broadcaster_aruco_ee.sendTransform(t_aruco_ee) + + #------------------------------------------------------------- + t_robot = TransformStamped() + t_robot.header.stamp = self.node.get_clock().now().to_msg() + t_robot.header.frame_id = 'world' + t_robot.child_frame_id = 'ee_link' + pos_ee = self.getBodyPos("0_end_effector") + quat_ee = self.getBodyQuat("0_end_effector") + + t_robot.transform.translation.x = pos_ee[0] + t_robot.transform.translation.y = pos_ee[1] + t_robot.transform.translation.z = pos_ee[2] + + t_robot.transform.rotation.x = quat_ee[1] + t_robot.transform.rotation.y = quat_ee[2] + t_robot.transform.rotation.z = quat_ee[3] + t_robot.transform.rotation.w = quat_ee[0] + self.tf_broadcaster_ee.sendTransform(t_robot) + + t_mj_cam = TransformStamped() + t_mj_cam.header.stamp = self.node.get_clock().now().to_msg() + t_mj_cam.header.frame_id = 'base_link' + t_mj_cam.child_frame_id = 'mj_cam_link' + pos_mj_cam = self.getBodyPos("0_cam") + quat_mj_cam = self.getBodyQuat("0_cam") + + t_mj_cam.transform.translation.x = pos_mj_cam[0] + t_mj_cam.transform.translation.y = pos_mj_cam[1] + t_mj_cam.transform.translation.z = pos_mj_cam[2] + t_mj_cam.transform.rotation.x = quat_mj_cam[1] + t_mj_cam.transform.rotation.y = quat_mj_cam[2] + t_mj_cam.transform.rotation.z = quat_mj_cam[3] + t_mj_cam.transform.rotation.w = quat_mj_cam[0] + self.tf_broadcaster_mj_cam.sendTransform(t_mj_cam) + + # #--------------------------------------------------- + t_cam = TransformStamped() + t_cam.header.stamp = self.node.get_clock().now().to_msg() + t_cam.header.frame_id = 'ee_link' + t_cam.child_frame_id = 'cam_link' + t_cam.transform.translation.x = self.t_ec[0] + t_cam.transform.translation.y = self.t_ec[1] + t_cam.transform.translation.z = self.t_ec[2] + + t_cam.transform.rotation.x = self.quat_ec[1] + t_cam.transform.rotation.y = self.quat_ec[2] + t_cam.transform.rotation.z = self.quat_ec[3] + t_cam.transform.rotation.w = self.quat_ec[0] + self.tf_broadcaster_cam.sendTransform(t_cam) + + # #--------------------------------------------------- + if self.Detected_already: + t_aruco = TransformStamped() + t_aruco.header.stamp = self.node.get_clock().now().to_msg() + t_aruco.header.frame_id = 'cam_link' + t_aruco.child_frame_id = 'aruco_link' + # rot_matrix = np.eye(3) + # rot_matrix = cv2.Rodrigues(np.array(self.rvec))[0] + # quat = RR.from_matrix(rot_matrix).as_quat() + quat = RR.from_rotvec(self.rv).as_quat() + + t_aruco.transform.translation.x = self.tv[0] + t_aruco.transform.translation.y = self.tv[1] + t_aruco.transform.translation.z = self.tv[2] + # print("self.tv=",self.tv) + # print("self.rv=",self.rv) + t_aruco.transform.rotation.x = quat[0] + t_aruco.transform.rotation.y = quat[1] + t_aruco.transform.rotation.z = quat[2] + t_aruco.transform.rotation.w = quat[3] + self.tf_broadcaster_aruco_detect.sendTransform(t_aruco) + + # #---------------------------------------------------- + t_cam_des = TransformStamped() + t_cam_des.header.stamp = self.node.get_clock().now().to_msg() + t_cam_des.header.frame_id = 'aruco_link' + t_cam_des.child_frame_id = 'cam_des_link' + # desire_p = self.desire_p.reshape(1,3) + desire_p = self.T_acd[:3,3] + desire_mat = self.T_acd[:3,:3] + # print("T_acd =",self.T_acd) + desire_quat = RR.from_matrix(desire_mat).as_quat() + t_cam_des.transform.translation.x = desire_p[0] + t_cam_des.transform.translation.y = desire_p[1] + t_cam_des.transform.translation.z = desire_p[2] + + t_cam_des.transform.rotation.x = desire_quat[0] + t_cam_des.transform.rotation.y = desire_quat[1] + t_cam_des.transform.rotation.z = desire_quat[2] + t_cam_des.transform.rotation.w = desire_quat[3] + self.tf_broadcaster_cam_desire.sendTransform(t_cam_des) + + +if __name__ == "__main__": + try: + + env = DualVisualServoRosEnv( + robot=BiDianaMedVS(), + is_render=True, + control_freq=200, + is_interpolate=True, + ) + + env.reset() + env.cam_start() + for t in range(int(1e6)): + env.step() + if env.is_render: + env.render() + except: + KeyboardInterrupt \ No newline at end of file diff --git a/roboimi/envs/vs_rl_task/config/base_config.py b/roboimi/envs/vs_rl_task/config/base_config.py new file mode 100644 index 0000000..424adc9 --- /dev/null +++ b/roboimi/envs/vs_rl_task/config/base_config.py @@ -0,0 +1,55 @@ +# SPDX-FileCopyrightText: Copyright (c) 2021 NVIDIA CORPORATION & AFFILIATES. All rights reserved. +# SPDX-License-Identifier: BSD-3-Clause +# +# Redistribution and use in source and binary forms, with or without +# modification, are permitted provided that the following conditions are met: +# +# 1. Redistributions of source code must retain the above copyright notice, this +# list of conditions and the following disclaimer. +# +# 2. Redistributions in binary form must reproduce the above copyright notice, +# this list of conditions and the following disclaimer in the documentation +# and/or other materials provided with the distribution. +# +# 3. Neither the name of the copyright holder nor the names of its +# contributors may be used to endorse or promote products derived from +# this software without specific prior written permission. +# +# THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" +# AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE +# IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE +# DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE +# FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL +# DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR +# SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +# CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, +# OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE +# OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. +# +# Copyright (c) 2021 ETH Zurich, Nikita Rudin + +import inspect + +class BaseConfig: + def __init__(self) -> None: + """ Initializes all member classes recursively. Ignores all namse starting with '__' (buit-in methods).""" + self.init_member_classes(self) + + @staticmethod + def init_member_classes(obj): + # iterate over all attributes names + for key in dir(obj): + # disregard builtin attributes + # if key.startswith("__"): + if key=="__class__": + continue + # get the corresponding attribute object + var = getattr(obj, key) + # check if it the attribute is a class + if inspect.isclass(var): + # instantate the class + i_var = var() + # set the attribute to the instance instead of the type + setattr(obj, key, i_var) + # recursively init members of the attribute + BaseConfig.init_member_classes(i_var) \ No newline at end of file diff --git a/roboimi/envs/vs_rl_task/config/vs_robot_config.py b/roboimi/envs/vs_rl_task/config/vs_robot_config.py new file mode 100644 index 0000000..fdef869 --- /dev/null +++ b/roboimi/envs/vs_rl_task/config/vs_robot_config.py @@ -0,0 +1,178 @@ +# SPDX-FileCopyrightText: Copyright (c) 2021 NVIDIA CORPORATION & AFFILIATES. All rights reserved. +# SPDX-License-Identifier: BSD-3-Clause +# +# Redistribution and use in source and binary forms, with or without +# modification, are permitted provided that the following conditions are met: +# +# 1. Redistributions of source code must retain the above copyright notice, this +# list of conditions and the following disclaimer. +# +# 2. Redistributions in binary form must reproduce the above copyright notice, +# this list of conditions and the following disclaimer in the documentation +# and/or other materials provided with the distribution. +# +# 3. Neither the name of the copyright holder nor the names of its +# contributors may be used to endorse or promote products derived from +# this software without specific prior written permission. +# +# THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" +# AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE +# IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE +# DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE +# FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL +# DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR +# SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +# CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, +# OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE +# OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. +# +# Copyright (c) 2021 ETH Zurich, Nikita Rudin + +from .base_config import BaseConfig + +class VSRobotCfg(BaseConfig): + class env: + num_envs = 1 + num_observations = 10 + num_privileged_obs = None # if not None a priviledge_obs_buf will be returned by step() (critic obs for assymetric training). None is returned otherwise + num_actions = 2 #using + env_spacing = 3. # not used with heightfields/trimeshes + send_timeouts = True # send time out information to the algorithm + episode_length_s = 20 # episode length in seconds + + # class terrain: + # mesh_type = 'trimesh' # "heightfield" # none, plane, heightfield or trimesh + # horizontal_scale = 0.1 # [m] + # vertical_scale = 0.005 # [m] + # border_size = 25 # [m] + # curriculum = True + # static_friction = 1.0 + # dynamic_friction = 1.0 + # restitution = 0. + # # rough terrain only: + # measure_heights = True + # measured_points_x = [-0.8, -0.7, -0.6, -0.5, -0.4, -0.3, -0.2, -0.1, 0., 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8] # 1mx1.6m rectangle (without center line) + # measured_points_y = [-0.5, -0.4, -0.3, -0.2, -0.1, 0., 0.1, 0.2, 0.3, 0.4, 0.5] + # selected = False # select a unique terrain type and pass all arguments + # terrain_kwargs = None # Dict of arguments for selected terrain + # max_init_terrain_level = 5 # starting curriculum state + # terrain_length = 8. + # terrain_width = 8. + # num_rows= 10 # number of terrain rows (levels) + # num_cols = 20 # number of terrain cols (types) + # # terrain types: [smooth slope, rough slope, stairs up, stairs down, discrete] + # terrain_proportions = [0.1, 0.1, 0.35, 0.25, 0.2] + # # trimesh only: + # slope_treshold = 0.75 # slopes above this threshold will be corrected to vertical surfaces + + # class commands: + # curriculum = False + # max_curriculum = 1. + # num_commands = 4 # default: lin_vel_x, lin_vel_y, ang_vel_yaw, heading (in heading mode ang_vel_yaw is recomputed from heading error) + # resampling_time = 10. # time before command are changed[s] + # heading_command = True # if true: compute ang vel command from heading error + # class ranges: + # lin_vel_x = [-1.0, 1.0] # min max [m/s] + # lin_vel_y = [-1.0, 1.0] # min max [m/s] + # ang_vel_yaw = [-1, 1] # min max [rad/s] + # heading = [-3.14, 3.14] + + + class control: + # control_type = 'P' # P: position, V: velocity, T: torques + # # PD Drive parameters: + # stiffness = {'joint_a': 10.0, 'joint_b': 15.} # [N*m/rad] + # damping = {'joint_a': 1.0, 'joint_b': 1.5} # [N*m*s/rad] + # action scale: target angle = actionScale * action + defaultAngle + action_scale = 0.5 + # decimation: Number of control action updates @ sim DT per policy DT + decimation = 20 + + + + # class domain_rand: + # randomize_friction = True + # friction_range = [0.5, 1.25] + # randomize_base_mass = False + # added_mass_range = [-1., 1.] + # push_robots = True + # push_interval_s = 15 + # max_push_vel_xy = 1. + + class rewards: + class scales: + # termination = -0.0 + lin_vel_xyz = -2.0 + action_rate = -0.01 + + + only_positive_rewards = True # if true negative total rewards are clipped at zero (avoids early termination problems) + # tracking_sigma = 0.25 # tracking reward = exp(-error^2/sigma) + + class normalization: + class obs_scales: + lin_vel = 2.0 + ang_vel = 0.25 + dof_pos = 1.0 + dof_vel = 0.05 + height_measurements = 5.0 + clip_observations = 100. + clip_actions = 100. + + # class noise: + # add_noise = True + # noise_level = 1.0 # scales other values + # class noise_scales: + # dof_pos = 0.01 + # dof_vel = 1.5 + # lin_vel = 0.1 + # ang_vel = 0.2 + # gravity = 0.05 + # height_measurements = 0.1 + + + + +class VSRobotCfgPPO(BaseConfig): + seed = 1 + runner_class_name = 'OnPolicyRunner' + class policy: + init_noise_std = 1.0 + actor_hidden_dims = [512, 256, 128] + critic_hidden_dims = [512, 256, 128] + activation = 'elu' # can be elu, relu, selu, crelu, lrelu, tanh, sigmoid + # only for 'ActorCriticRecurrent': + rnn_type = 'lstm' + rnn_hidden_size = 512 + rnn_num_layers = 1 + + class algorithm: + # training params + value_loss_coef = 1.0 + use_clipped_value_loss = True + clip_param = 0.2 + entropy_coef = 0.01 + num_learning_epochs = 5 + num_mini_batches = 4 # mini batch size = num_envs*nsteps / nminibatches + learning_rate = 1.e-3 #5.e-4 + schedule = 'adaptive' # could be adaptive, fixed + gamma = 0.99 + lam = 0.95 + desired_kl = 0.01 + max_grad_norm = 1. + + class runner: + policy_class_name = 'ActorCritic' + algorithm_class_name = 'PPO' + num_steps_per_env = 24 # per iteration + max_iterations = 1500 # number of policy updates + + # logging + save_interval = 50 # check for potential saves every this many iterations + experiment_name = 'test' + run_name = '' + # load and resume + resume = False + load_run = -1 # -1 = last run + checkpoint = -1 # -1 = last saved model + resume_path = None # updated from load_run and chkpt \ No newline at end of file diff --git a/roboimi/envs/vs_rl_task/task/vs_base_task.py b/roboimi/envs/vs_rl_task/task/vs_base_task.py new file mode 100644 index 0000000..4e9cf0c --- /dev/null +++ b/roboimi/envs/vs_rl_task/task/vs_base_task.py @@ -0,0 +1,59 @@ +import numpy as np +import torch +import sys +from roboimi.assets.robots.bidiana_med_vs import BiDianaMedVS +from roboimi.envs.visual_servo.double_vs_base import DualVisualServoEnv + +#base_task +class VisualServo_BaseTask(DualVisualServoEnv): + def __init__(self, cfg, device, headless): + self.headless = headless + super().__init__( + robot=BiDianaMedVS(), + is_render=self.headless, + renderer="viewer", + control_freq=200 + ) + if device == 'cpu' or device == 'cuda:0': + self.device = device + self.num_envs = 1 + self.num_obs = cfg.env.num_observations + self.num_privileged_obs = cfg.env.num_privileged_obs + self.num_actions = cfg.env.num_actions + torch._C._jit_set_profiling_mode(False) + torch._C._jit_set_profiling_executor(False) + self.obs_buf = torch.zeros(self.num_envs, self.num_obs, device=self.device, dtype=torch.float) + self.rew_buf = torch.zeros(self.num_envs, device=self.device, dtype=torch.float) + self.reset_buf = torch.ones(self.num_envs, device=self.device, dtype=torch.long) + self.episode_length_buf = torch.zeros(self.num_envs, device=self.device, dtype=torch.long) + self.time_out_buf = torch.zeros(self.num_envs, device=self.device, dtype=torch.bool) + if self.num_privileged_obs is not None: + self.privileged_obs_buf = torch.zeros(self.num_envs, self.num_privileged_obs, device=self.device, dtype=torch.float) + else: + self.privileged_obs_buf = None + # self.num_privileged_obs = self.num_obs + + # self.extras = {} + + def get_observations(self): + return self.obs_buf + + def get_privileged_observations(self): + return self.privileged_obs_buf + + def reset_idx(self, env_ids): + """Reset selected robots""" + pass + + def reset(self): + """ Reset all robots""" + self.reset_idx(torch.arange(self.num_envs, device=self.device)) + obs, privileged_obs, _, _, _ = self.step(torch.zeros(self.num_envs, self.num_actions, device=self.device, requires_grad=False)) + return obs, privileged_obs + + def step(self, actions): + print("PPO actions =",actions) + actions = 0.5 + super().step(actions) + + \ No newline at end of file diff --git a/roboimi/envs/vs_rl_task/task/vs_robot.py b/roboimi/envs/vs_rl_task/task/vs_robot.py new file mode 100644 index 0000000..9b6e516 --- /dev/null +++ b/roboimi/envs/vs_rl_task/task/vs_robot.py @@ -0,0 +1,249 @@ +# from roboimi.envs.vs_rl_task.task.vs_base_task import VisualServo_BaseTask +from .vs_base_task import VisualServo_BaseTask +import numpy as np +import os +import torch +from torch import Tensor +from typing import Tuple, Dict + +class VisualServoDualArmRobot(VisualServo_BaseTask): + def __init__(self, cfg, device, headless): + """ + Args: + cfg (Dict): Task Environment config file + device (string): 'cuda:0' or 'cpu' + headless (bool): Run without rendering if True + """ + self.cfg = cfg + self.height_samples = None + self.debug_viz = False + self.init_done = False + self._parse_cfg(self.cfg) + self.mj_dt = 0.001 #attention + super().__init__(self.cfg, device, headless) + self._init_buffers() + self._prepare_reward_function() + self.is_timeout = False + self.is_reset = True + self.reset_buf = torch.zeros(self.num_envs) + # self.init_done = True + + + + def reset(self): + if not self.is_reset: + return + else: + ''' + env_ids = [] + ''' + self._resample_commands() + super().reset() + #only one env for now! + self.last_actions[0] = 0. + self.episode_length_buf[0] = 0. + self.is_timeout = False + self.reset_buf[0] = True # 0 /1 + self.extras["episode"] = {} + for key in self.episode_sums.keys(): + self.extras["episode"]['rew_' + key] = torch.mean(self.episode_sums[key][0]) / self.max_episode_length_s + self.episode_sums[key][0] = 0. + if self.cfg.env.send_timeouts: + self.extras["time_outs"] = self.is_timeout + + + + + + def check_termination(self): + if self.common_step_counter >= self.max_episode_length: + self.is_timeout = True + else: #self.is_timeout = False + self.is_timeout = False + + if self.is_detect and (not self.is_timeout): + self.is_reset = False + else: + self.is_reset = True + self.reset_buf[0] = self.is_reset + + + + def step(self,actions): + + clip_actions = self.cfg.normalization.clip_actions + self.actions = torch.clip(actions, -clip_actions, clip_actions).to(self.device) + #--------------------------------------------------------------------------------- + actions_scaled = actions * self.cfg.control.action_scale #adjust action upper/lower limits + actions_adj = actions_scaled*actions + super().step(actions_adj) + # super().step(actions) + self.episode_length_buf += 1 + self.common_step_counter += 1 + self.check_termination() + self.compute_reward() + self.reset() + self.compute_observations() + self.last_actions[:] = self.actions[:] + #--------------------------------------------------------------------------------- + clip_obs = self.cfg.normalization.clip_observations + self.obs_buf = torch.clip(self.obs_buf, -clip_obs, clip_obs) + if self.privileged_obs_buf is not None: + self.privileged_obs_buf = torch.clip(self.privileged_obs_buf, -clip_obs, clip_obs) + + self.last_actions[:] = self.actions[:] + return self.obs_buf, self.privileged_obs_buf, self.rew_buf, self.reset_buf, self.extras + + def _parse_cfg(self, cfg): + self.dt = self.cfg.control.decimation * self.mj_dt + self.obs_scales = self.cfg.normalization.obs_scales + self.reward_scales = self.class_to_dict(self.cfg.rewards.scales) + self.command_ranges = self.class_to_dict(self.cfg.commands.ranges) + self.max_episode_length_s = self.cfg.env.episode_length_s + self.max_episode_length = np.ceil(self.max_episode_length_s / self.dt) + + + + def _init_buffers(self): + """ Initialize torch tensors which will contain simulation states and processed quantities + """ + # get gym GPU state tensors + + # actor_root_state = self.gym.acquire_actor_root_state_tensor(self.sim) + # dof_state_tensor = self.gym.acquire_dof_state_tensor(self.sim) + # net_contact_forces = self.gym.acquire_net_contact_force_tensor(self.sim) + # self.gym.refresh_dof_state_tensor(self.sim) + # self.gym.refresh_actor_root_state_tensor(self.sim) + # self.gym.refresh_net_contact_force_tensor(self.sim) + + # initialize some data used later on + self.common_step_counter = 0 + self.extras = {} + self.noise_scale_vec = self._get_noise_scale_vec(self.cfg) + self.actions = torch.zeros(self.num_envs, self.num_actions, dtype=torch.float, device=self.device, requires_grad=False) + self.last_actions = torch.zeros(self.num_envs, self.num_actions, dtype=torch.float, device=self.device, requires_grad=False) + + + def _prepare_reward_function(self): + """ Prepares a list of reward functions, whcih will be called to compute the total reward. + Looks for self._reward_, where are names of all non zero reward scales in the cfg. + """ + # remove zero scales + multiply non-zero ones by dt + for key in list(self.reward_scales.keys()): + scale = self.reward_scales[key] + if scale==0: + self.reward_scales.pop(key) + else: + self.reward_scales[key] *= self.dt + # prepare list of functions + self.reward_functions = [] + self.reward_names = [] + for name, scale in self.reward_scales.items(): + if name=="termination": + continue + self.reward_names.append(name) + name = '_reward_' + name + self.reward_functions.append(getattr(self, name)) + + # reward episode sums + self.episode_sums = {name: torch.zeros(self.num_envs, dtype=torch.float, device=self.device, requires_grad=False) + for name in self.reward_scales.keys()} + + + # def _get_noise_scale_vec(self, cfg): + # """ Sets a vector used to scale the noise added to the observations. + # [NOTE]: Must be adapted when changing the observations structure + + # Args: + # cfg (Dict): Environment config file + + # Returns: + # [torch.Tensor]: Vector of scales used to multiply a uniform distribution in [-1, 1] + # """ + # noise_vec = torch.zeros_like(self.obs_buf[0]) + # self.add_noise = self.cfg.noise.add_noise + # noise_scales = self.cfg.noise.noise_scales + # noise_level = self.cfg.noise.noise_level + # noise_vec[:3] = noise_scales.lin_vel * noise_level * self.obs_scales.lin_vel + # noise_vec[3:6] = noise_scales.ang_vel * noise_level * self.obs_scales.ang_vel + # noise_vec[6:9] = noise_scales.gravity * noise_level + # noise_vec[9:12] = 0. # commands + # noise_vec[12:24] = noise_scales.dof_pos * noise_level * self.obs_scales.dof_pos + # noise_vec[24:36] = noise_scales.dof_vel * noise_level * self.obs_scales.dof_vel + # noise_vec[36:48] = 0. # previous actions + # if self.cfg.terrain.measure_heights: + # noise_vec[48:235] = noise_scales.height_measurements* noise_level * self.obs_scales.height_measurements + # return noise_vec + + + def _resample_commands(self): + """ Randommly select commands of some environments + + Args: + env_ids (List[int]): Environments ids for which new commands are needed + """ + pass + + + def compute_reward(self): + """ Compute rewards + + """ + self.rew_buf[:] = 0. + for i in range(len(self.reward_functions)): + name = self.reward_names[i] + rew = self.reward_functions[i]() * self.reward_scales[name] + self.rew_buf += rew + self.episode_sums[name] += rew + if self.cfg.rewards.only_positive_rewards: + self.rew_buf[:] = torch.clip(self.rew_buf[:], min=0.) + # add termination reward after clipping + # if "termination" in self.reward_scales: + # rew = self._reward_termination() * self.reward_scales["termination"] + # self.rew_buf += rew + # self.episode_sums["termination"] += rew + + def compute_observations(self): + """ Computes observations + """ + # self.obs_buf = torch.cat(( self.base_lin_vel * self.obs_scales.lin_vel, + # self.base_ang_vel * self.obs_scales.ang_vel, + # self.projected_gravity, + # self.commands[:, :3] * self.commands_scale, + # (self.dof_pos - self.default_dof_pos) * self.obs_scales.dof_pos, + # self.dof_vel * self.obs_scales.dof_vel, + # self.actions + # ),dim=-1) + self.obs_buf = torch.zeros(1,10) + # add perceptive inputs if not blind + # add noise if needed + # if self.add_noise: + # self.obs_buf += (2 * torch.rand_like(self.obs_buf) - 1) * self.noise_scale_vec + + + def class_to_dict(self,obj) -> dict: + if not hasattr(obj,"__dict__"): + return obj + result = {} + for key in dir(obj): + if key.startswith("_"): + continue + element = [] + val = getattr(obj, key) + if isinstance(val, list): + for item in val: + element.append(self.class_to_dict(item)) + else: + element = self.class_to_dict(val) + result[key] = element + return result + + + # cfg 中必须和_reward_ 后面的部分写的一样 + def _reward_action_rate(self): + # Penalize changes in actions + return torch.sum(torch.square(self.last_actions - self.actions), dim=1) + + def _reward_lin_vel_xyz(self): + return torch.zeros(1,1) + # return torch.square(self.ee_lin_vel[:, 3]) \ No newline at end of file diff --git a/roboimi/envs/vs_rl_task/task/vs_task_registry.py b/roboimi/envs/vs_rl_task/task/vs_task_registry.py new file mode 100644 index 0000000..eb967d8 --- /dev/null +++ b/roboimi/envs/vs_rl_task/task/vs_task_registry.py @@ -0,0 +1,252 @@ +import os +# from datetime import datetime +# from typing import Tuple +import torch +import numpy as np +import random +# from rsl_rl.env import VecEnv +# from roboimi.rsl_rl.runners import OnPolicyRunner +from roboimi.rsl_rl.rsl_rl.runners.on_policy_runner import OnPolicyRunner +from roboimi.rsl_rl.rsl_rl.env import VecEnv + +# from legged_gym import LEGGED_GYM_ROOT_DIR, LEGGED_GYM_ENVS_DIR +from roboimi.envs.vs_rl_task.config.vs_robot_config import VSRobotCfg, VSRobotCfgPPO +from .vs_robot import VisualServoDualArmRobot + + + + +class VS_TaskRegistry(): + def __init__(self): + self.task_classes = {} + self.task_ = None + self.env_cfgs = {} + self.env_cfg = None + self.train_cfgs = {} + self.train_cfg = None + + # name fixed + def register(self, name="vs_robot", task_class=VisualServoDualArmRobot, env_cfg=VSRobotCfg, train_cfg=VSRobotCfgPPO): + self.task_classes[name] = task_class + self.task_ = task_class + self.env_cfg = env_cfg + self.train_cfg = train_cfg + self.env_cfgs[name] = env_cfg + self.train_cfgs[name] = train_cfg + + # def get_task_class(self, name: str) -> VecEnv: + # return self.task_classes[name] + + def get_task(self): + return self.task_ + + def get_cfgs(self, name='vs_robot'): + # train_cfg = self.train_cfgs[name] + # env_cfg = self.env_cfgs[name] + # copy seed + train_cfg = self.train_cfg + env_cfg = self.env_cfg + env_cfg.seed = self.train_cfg.seed + return env_cfg, train_cfg + + def make_vs_env(self,name='vs_robot', device='cuda:0',headless=True): + task_class = self.get_task() + env_cfg, _ = self.get_cfgs(name) + self.set_seed(env_cfg.seed) + env = task_class(cfg=env_cfg, device=device, headless=headless) + return env, env_cfg + + def make_vs_alg_runner(self, env, name='vs_robot'): + _, train_cfg = self.get_cfgs(name) + train_cfg_dict = env.class_to_dict(train_cfg) + log_dir = None + runner = OnPolicyRunner(env, train_cfg_dict, log_dir, device='cuda:0') + resume = train_cfg.runner.resume + if resume: + # load previously trained model + resume_path = self.get_load_path(log_dir, load_run=train_cfg.runner.load_run, checkpoint=train_cfg.runner.checkpoint) + print(f"Loading model from: {resume_path}") + runner.load(resume_path) + return runner, train_cfg + + def set_seed(seed): + if seed == -1: + seed = np.random.randint(0, 10000) + print("Setting seed: {}".format(seed)) + + random.seed(seed) + np.random.seed(seed) + torch.manual_seed(seed) + os.environ['PYTHONHASHSEED'] = str(seed) + torch.cuda.manual_seed(seed) + torch.cuda.manual_seed_all(seed) + + def get_load_path(root, load_run=-1, checkpoint=-1): + try: + runs = os.listdir(root) + #TODO sort by date to handle change of month + runs.sort() + if 'exported' in runs: runs.remove('exported') + last_run = os.path.join(root, runs[-1]) + except: + raise ValueError("No runs in this directory: " + root) + if load_run==-1: + load_run = last_run + else: + load_run = os.path.join(root, load_run) + + if checkpoint==-1: + models = [file for file in os.listdir(load_run) if 'model' in file] + models.sort(key=lambda m: '{0:0>15}'.format(m)) + model = models[-1] + else: + model = "model_{}.pt".format(checkpoint) + + load_path = os.path.join(load_run, model) + return load_path + + # def make_env(self, name='vs_robot', env_cfg=None): + # """ Creates an environment either from a registered namme or from the provided config file. + + # Args: + # name (string): Name of a registered env. + # args (Args, optional): Isaac Gym comand line arguments. If None get_args() will be called. Defaults to None. + # env_cfg (Dict, optional): Environment config file used to override the registered config. Defaults to None. + + # Raises: + # ValueError: Error if no registered env corresponds to 'name' + + # Returns: + # isaacgym.VecTaskPython: The created environment + # Dict: the corresponding config file + # """ + # # if no args passed get command line arguments + # # if args is None: + # # pass + # # # args = self.get_args() + # # # check if there is a registered env with that name + # # if name in self.task_classes: + # # # task_class = self.get_task_class(name) + # # task_class = self.get_task() + # # else: + # # raise ValueError(f"Task with name: {name} was not registered") + # task_class = self.get_task() + # # if env_cfg is None: + # # load config files + # env_cfg, _ = self.get_cfgs(name) + # # override cfg from args (if specified) + # # env_cfg, _ = update_cfg_from_args(env_cfg, None, args) + # self.set_seed(env_cfg.seed) + # #task_class = VisualServoDualArmRobot + # env = task_class(cfg=env_cfg,device='cuda:0',headless=True) + # return env, env_cfg + + + # def make_alg_runner(self, env, name=None, args=None, train_cfg=None, log_root="default") -> Tuple[OnPolicyRunner, LeggedRobotCfgPPO]: + # """ Creates the training algorithm either from a registered namme or from the provided config file. + + # Args: + # env (isaacgym.VecTaskPython): The environment to train (TODO: remove from within the algorithm) + # name (string, optional): Name of a registered env. If None, the config file will be used instead. Defaults to None. + # args (Args, optional): Isaac Gym comand line arguments. If None get_args() will be called. Defaults to None. + # train_cfg (Dict, optional): Training config file. If None 'name' will be used to get the config file. Defaults to None. + # log_root (str, optional): Logging directory for Tensorboard. Set to 'None' to avoid logging (at test time for example). + # Logs will be saved in /_. Defaults to "default"=/logs/. + + # Raises: + # ValueError: Error if neither 'name' or 'train_cfg' are provided + # Warning: If both 'name' or 'train_cfg' are provided 'name' is ignored + + # Returns: + # PPO: The created algorithm + # Dict: the corresponding config file + # """ + # # if no args passed get command line arguments + # if args is None: + # args = get_args() + # # if config files are passed use them, otherwise load from the name + # if train_cfg is None: + # if name is None: + # raise ValueError("Either 'name' or 'train_cfg' must be not None") + # # load config files + # _, train_cfg = self.get_cfgs(name) + # else: + # if name is not None: + # print(f"'train_cfg' provided -> Ignoring 'name={name}'") + # # override cfg from args (if specified) + # _, train_cfg = update_cfg_from_args(None, train_cfg, args) + + # if log_root=="default": + # log_root = os.path.join(LEGGED_GYM_ROOT_DIR, 'logs', train_cfg.runner.experiment_name) + # log_dir = os.path.join(log_root, datetime.now().strftime('%b%d_%H-%M-%S') + '_' + train_cfg.runner.run_name) + # elif log_root is None: + # log_dir = None + # else: + # log_dir = os.path.join(log_root, datetime.now().strftime('%b%d_%H-%M-%S') + '_' + train_cfg.runner.run_name) + + # train_cfg_dict = class_to_dict(train_cfg) + # runner = OnPolicyRunner(env, train_cfg_dict, log_dir, device=args.rl_device) + # #save resume path before creating a new log_dir + # resume = train_cfg.runner.resume + # if resume: + # # load previously trained model + # resume_path = get_load_path(log_root, load_run=train_cfg.runner.load_run, checkpoint=train_cfg.runner.checkpoint) + # print(f"Loading model from: {resume_path}") + # runner.load(resume_path) + # return runner, train_cfg + + + + + # def get_args(): + # custom_parameters = [ + # {"name": "--task", "type": str, "default": "anymal_c_flat", "help": "Resume training or start testing from a checkpoint. Overrides config file if provided."}, + # {"name": "--resume", "action": "store_true", "default": False, "help": "Resume training from a checkpoint"}, + # {"name": "--experiment_name", "type": str, "help": "Name of the experiment to run or load. Overrides config file if provided."}, + # {"name": "--run_name", "type": str, "help": "Name of the run. Overrides config file if provided."}, + # {"name": "--load_run", "type": str, "help": "Name of the run to load when resume=True. If -1: will load the last run. Overrides config file if provided."}, + # {"name": "--checkpoint", "type": int, "help": "Saved model checkpoint number. If -1: will load the last checkpoint. Overrides config file if provided."}, + + # {"name": "--headless", "action": "store_true", "default": False, "help": "Force display off at all times"}, + # {"name": "--horovod", "action": "store_true", "default": False, "help": "Use horovod for multi-gpu training"}, + # {"name": "--rl_device", "type": str, "default": "cuda:0", "help": 'Device used by the RL algorithm, (cpu, gpu, cuda:0, cuda:1 etc..)'}, + # {"name": "--num_envs", "type": int, "help": "Number of environments to create. Overrides config file if provided."}, + # {"name": "--seed", "type": int, "help": "Random seed. Overrides config file if provided."}, + # {"name": "--max_iterations", "type": int, "help": "Maximum number of training iterations. Overrides config file if provided."}, + # ] + # # parse arguments + # args = gymutil.parse_arguments( + # description="RL Policy", + # custom_parameters=custom_parameters) + + # # name allignment + # args.sim_device_id = args.compute_device_id + # args.sim_device = args.sim_device_type + # if args.sim_device=='cuda': + # args.sim_device += f":{args.sim_device_id}" + # return args + + # def update_cfg_from_args(env_cfg, cfg_train, args): + # # seed + # if env_cfg is not None: + # # num envs + # if args.num_envs is not None: + # env_cfg.env.num_envs = args.num_envs + # if cfg_train is not None: + # if args.seed is not None: + # cfg_train.seed = args.seed + # # alg runner parameters + # if args.max_iterations is not None: + # cfg_train.runner.max_iterations = args.max_iterations + # if args.resume: + # cfg_train.runner.resume = args.resume + # if args.experiment_name is not None: + # cfg_train.runner.experiment_name = args.experiment_name + # if args.run_name is not None: + # cfg_train.runner.run_name = args.run_name + # if args.load_run is not None: + # cfg_train.runner.load_run = args.load_run + # if args.checkpoint is not None: + # cfg_train.runner.checkpoint = args.checkpoint + + # return env_cfg, cfg_train \ No newline at end of file diff --git a/roboimi/envs/vs_rl_task/vs_train.py b/roboimi/envs/vs_rl_task/vs_train.py new file mode 100644 index 0000000..5a1b228 --- /dev/null +++ b/roboimi/envs/vs_rl_task/vs_train.py @@ -0,0 +1,21 @@ +import numpy as np +import os +from datetime import datetime +# from .vs_task_registry import VS_TaskRegistry +from roboimi.envs.vs_rl_task.task.vs_task_registry import VS_TaskRegistry +import wandb + +ENVS_DIR = '' +task_registry = VS_TaskRegistry() + +def train(): + wandb.init(project='vs_robot', name='vs_robot', entity="zfu") + wandb.save(ENVS_DIR + "/h1/h1_config.py", policy="now") + wandb.save(ENVS_DIR + "/h1/h1.py", policy="now") + + env, env_cfg = task_registry.make_vs_env() + ppo_runner, train_cfg = task_registry.make_vs_alg_runner(env=env, name='vs_robot') + ppo_runner.learn(num_learning_iterations=train_cfg.runner.max_iterations, init_at_random_ep_len=True) + +if __name__ == '__main__': + train() \ No newline at end of file diff --git a/roboimi/envs/vx300s_ee.py b/roboimi/envs/vx300s_ee.py new file mode 100644 index 0000000..23b6930 --- /dev/null +++ b/roboimi/envs/vx300s_ee.py @@ -0,0 +1,244 @@ +import numpy as np +import time +from roboimi.envs.vx300s_ee_base import DualVX300S_EE_base +import cv2 +from roboimi.utils.interpolators import OTG +import mujoco as mj +import threading +from pyquaternion import Quaternion +from roboimi.utils.constants import PUPPET_GRIPPER_POSITION_NORMALIZE_FN +from roboimi.utils.constants import PUPPET_GRIPPER_POSITION_UNNORMALIZE_FN +from roboimi.utils.constants import PUPPET_GRIPPER_POSITION_CLOSE +from roboimi.utils.act_ex_utils import sample_insertion_pose +import copy as cp + + + +class DualVX300S_EE_Insert(DualVX300S_EE_base): + """ + + :param is_render: Choose if use the renderer to render the scene or not. + :param renderer: Choose official renderer with "viewer", + another renderer with "mujoco_viewer" + :param control_freq: Upper-layer control frequency. + Note that high frequency will cause high time-lag. + :param cam_view: Choice of Camera view. + """ + + def __init__(self, + robot=None, + is_render=False, + renderer="viewer", + control_freq=200, + cam_view=None + ): + super().__init__( + robot=robot, + is_render=is_render, + renderer=renderer, + control_freq=control_freq, + cam_view=cam_view + ) + self.obs = None + self.rew = None + self.max_reward = 4 + self.num = 0 + + def step(self,action=np.zeros(16)): + self.obs = self._get_obs() + self.rew = self._get_reward() + super().step(action) + + def reset(self): + peg_pose, socket_pose = sample_insertion_pose() + self.mj_data.joint('red_peg_joint').qpos[0]=peg_pose[0] + self.mj_data.joint('red_peg_joint').qpos[1]=peg_pose[1] + self.mj_data.joint('red_peg_joint').qpos[2]=peg_pose[2] + self.mj_data.joint('red_peg_joint').qpos[3]=1.0 + self.mj_data.joint('red_peg_joint').qpos[4]=0.0 + self.mj_data.joint('red_peg_joint').qpos[5]=0.0 + self.mj_data.joint('red_peg_joint').qpos[6]=0.0 + self.mj_data.joint('blue_socket_joint').qpos[0] = socket_pose[0] + self.mj_data.joint('blue_socket_joint').qpos[1] = socket_pose[1] + self.mj_data.joint('blue_socket_joint').qpos[2] = socket_pose[2] + self.mj_data.joint('blue_socket_joint').qpos[3] = 1.0 + self.mj_data.joint('blue_socket_joint').qpos[4] = 0.0 + self.mj_data.joint('blue_socket_joint').qpos[5] = 0.0 + self.mj_data.joint('blue_socket_joint').qpos[6] = 0.0 + super().reset() + + def preStep(self, action): + if isinstance(action,np.ndarray) and len(action)==16: + act_grip = action[-2:] + act_cart = action[:-2] + g_left_ctrl = PUPPET_GRIPPER_POSITION_UNNORMALIZE_FN(act_grip[0]) + g_right_ctrl = PUPPET_GRIPPER_POSITION_UNNORMALIZE_FN(act_grip[1]) + + act_grip = np.array([g_left_ctrl, -g_left_ctrl, g_right_ctrl, -g_right_ctrl]) + action = np.hstack((act_cart,act_grip)) + super().preStep(action) + self.num += 1 + else: + raise AttributeError("size should be 16") + + def get_env_state(self): + box_pose = np.zeros(6) + for i in range(3): + box_pose[i] = cp.deepcopy(self.mj_data.joint('red_peg_joint').qpos[i]) + box_pose[3+i] = cp.deepcopy(self.mj_data.joint('blue_socket_joint').qpos[i]) + return box_pose + + def _get_reward(self): + all_contact_pairs = [] + for collision_num in range(self.mj_data.ncon): + geom1 = self.mj_data.contact[collision_num].geom1 + geom2 = self.mj_data.contact[collision_num].geom2 + name_geom_1 = self.getID2Name('geom',geom1) + name_geom_2 = self.getID2Name('geom',geom2) + contact_pair = (name_geom_1, name_geom_2) + all_contact_pairs.append(contact_pair) + + touch_right_gripper = ("red_peg", "vx300s_right/10_right_gripper_finger") in all_contact_pairs + touch_left_gripper = ("socket-1", "vx300s_left/10_left_gripper_finger") in all_contact_pairs or \ + ("socket-2", "vx300s_left/10_left_gripper_finger") in all_contact_pairs or \ + ("socket-3", "vx300s_left/10_left_gripper_finger") in all_contact_pairs or \ + ("socket-4", "vx300s_left/10_left_gripper_finger") in all_contact_pairs + + peg_touch_table = ("red_peg", "table") in all_contact_pairs + socket_touch_table = ("socket-1", "table") in all_contact_pairs or \ + ("socket-2", "table") in all_contact_pairs or \ + ("socket-3", "table") in all_contact_pairs or \ + ("socket-4", "table") in all_contact_pairs + peg_touch_socket = ("red_peg", "socket-1") in all_contact_pairs or \ + ("red_peg", "socket-2") in all_contact_pairs or \ + ("red_peg", "socket-3") in all_contact_pairs or \ + ("red_peg", "socket-4") in all_contact_pairs + pin_touched = ("red_peg", "pin") in all_contact_pairs + + reward = 0 + if touch_left_gripper and touch_right_gripper: # touch both + reward = 1 + if touch_left_gripper and touch_right_gripper and (not peg_touch_table) and (not socket_touch_table): # grasp both + reward = 2 + if peg_touch_socket and (not peg_touch_table) and (not socket_touch_table): # peg and socket touching + reward = 3 + if pin_touched: # successful insertion + reward = 4 + return reward + + + + + +class DualVX300S_EE_Transfer(DualVX300S_EE_base): + """ + + :param is_render: Choose if use the renderer to render the scene or not. + :param renderer: Choose official renderer with "viewer", + another renderer with "mujoco_viewer" + :param control_freq: Upper-layer control frequency. + Note that high frequency will cause high time-lag. + :param cam_view: Choice of Camera view. + """ + + def __init__(self, + robot=None, + is_render=False, + renderer="viewer", + control_freq=200, + cam_view=None + ): + super().__init__( + robot=robot, + is_render=is_render, + renderer=renderer, + control_freq=control_freq, + cam_view=cam_view + ) + self.obs = None + self.rew = None + self.max_reward = 4 + + def step(self,action=np.zeros(14)): + self.obs = self._get_obs() + self.rew = self._get_reward() + super().step(action) + + + + def reset(self): + super().reset() + + def preStep(self, action): + pass + + def get_env_state(self): + return self.mj_data.qpos.copy()[16:] + + def _get_reward(self): + all_contact_pairs = [] + for collision_num in range(self.mj_data.ncon): + geom1 = self.mj_data.contact[collision_num].geom1 + geom2 = self.mj_data.contact[collision_num].geom2 + name_geom_1 = self.getID2Name('geom',geom1) + name_geom_2 = self.getID2Name('geom',geom2) + contact_pair = (name_geom_1, name_geom_2) + all_contact_pairs.append(contact_pair) + + touch_left_gripper = ("red_box", "vx300s_left/10_left_gripper_finger") in all_contact_pairs + touch_right_gripper = ("red_box", "vx300s_right/10_right_gripper_finger") in all_contact_pairs + touch_table = ("red_box", "table") in all_contact_pairs + + reward = 0 + if touch_right_gripper: + reward = 1 + if touch_right_gripper and not touch_table: # lifted + reward = 2 + if touch_left_gripper: # attempted transfer + reward = 3 + if touch_left_gripper and not touch_table: # successful transfer + reward = 4 + return reward + + +def make_ee_sim_env(task_name): + if 'sim_transfer_cube' in task_name: + from roboimi.assets.robots.vx300s import VX300s_transfer_ee + env = DualVX300S_EE_Transfer( + robot=VX300s_transfer_ee(), + is_render=True, + control_freq=200, + cam_view='top' + ) + elif 'sim_insertion' in task_name: + from roboimi.assets.robots.vx300s import VX300s_insert_ee + env = DualVX300S_EE_Insert( + robot=VX300s_insert_ee(), + is_render=False, + control_freq=30, + cam_view='top' + ) + else: + raise NotImplementedError + return env + + +if __name__ == "__main__": + task_name = 'sim_insertion' + env = make_ee_sim_env(task_name) + env.reset() + action_l = np.array([-0.0,0.1,0.3, + 1.0,0.0,0.0,0.0]) + action_r = np.array([0.1,-0.1,0.1, + 1.0,0.0,0.0,0.0]) + action_gripper = np.array([1.0,-0.3]) + action = np.hstack((action_l,action_r,action_gripper)) + time=0 + for t in range(int(100)): + print("main step ", t) + env.step(action) + print("obs=",env.obs['gripper_ctrl']) + time +=1 + if env.is_render: + env.render() + \ No newline at end of file diff --git a/roboimi/envs/vx300s_ee_base.py b/roboimi/envs/vx300s_ee_base.py new file mode 100644 index 0000000..2464e80 --- /dev/null +++ b/roboimi/envs/vx300s_ee_base.py @@ -0,0 +1,212 @@ +import numpy as np +import time +from roboimi.envs.mujoco_base import MujocoEnv +import cv2 +from roboimi.utils.interpolators import OTG +import mujoco as mj +import threading +import collections +import time +from roboimi.utils.constants import PUPPET_GRIPPER_POSITION_CLOSE +from roboimi.utils.constants import PUPPET_GRIPPER_POSITION_NORMALIZE_FN,PUPPET_GRIPPER_VELOCITY_NORMALIZE_FN +CLOSE_GRIPPER = np.array([ + -0.0409, + 0.0409, + PUPPET_GRIPPER_POSITION_CLOSE, + -PUPPET_GRIPPER_POSITION_CLOSE, + ]) + + +class DualVX300S_EE_base(MujocoEnv): + """ + + :param is_render: Choose if use the renderer to render the scene or not. + :param renderer: Choose official renderer with "viewer", + another renderer with "mujoco_viewer" + :param control_freq: Upper-layer control frequency. + Note that high frequency will cause high time-lag. + :param is_interpolate: Use interpolator while stepping. + """ + + def __init__(self, + robot=None, + is_render=False, + renderer="viewer", + control_freq=20, + cam_view=None + ): + super().__init__( + robot=robot, + is_render=is_render, + renderer=renderer, + control_freq=control_freq + ) + self.arm_left = self.robot.left_arm + self.arm_right = self.robot.right_arm + self.base_time = self.control_timestep + self.cam = cam_view + # np.copyto(physics.data.ctrl, close_gripper_control) + + #camera view setting + self.vis = None + self.top = None + self.angle = None + # self.cam_start() + + + def reset(self): + self._setInitPose() + mj.mj_step(self.mj_model, self.mj_data) + # super().reset() + + + def step(self,action=np.zeros(6)): + for i in range(int(self.control_timestep / self.model_timestep)): + if int(self.control_timestep / self.model_timestep) == 0: + raise ValueError("Control frequency is too low. Checkout you are not in renderer mode." + "Current Model-Timestep:{}".format(self.model_timestep)) + super().step(action) + + + def preStep(self, action): + if len(action) == 18: + action_gripper = action[-4:] + action_cart = action[:14] + pos_l = action_cart[:3] + quat_l = action_cart[3:7] + pos_r = action_cart[7:10] + quat_r = action_cart[10:14] + self.motion_Cap(pos_l,quat_l,self.arm_left) + self.motion_Cap(pos_r,quat_r,self.arm_right) + self.gripper_ctrl(action_gripper) + else: + raise AttributeError + + + def motion_Cap(self,pos : np.ndarray, quat : np.ndarray, Arm): + self.mj_data.mocap_pos[Arm.ee_mocap] = pos + self.mj_data.mocap_quat[Arm.ee_mocap] = quat + + + def gripper_ctrl(self,ctrl=CLOSE_GRIPPER): + if len(ctrl)==4: + self.mj_data.actuator(self.arm_left.actuator_index[0]).ctrl = ctrl[0] + self.mj_data.actuator(self.arm_left.actuator_index[1]).ctrl = ctrl[1] + self.mj_data.actuator(self.arm_right.actuator_index[0]).ctrl = ctrl[2] + self.mj_data.actuator(self.arm_right.actuator_index[1]).ctrl = ctrl[3] + else: + raise AttributeError("length of gripper ctrl vector should be 4 ") + + + @property + def get_obs_qpos(self): + qpos_left = np.zeros(self.arm_left.jnt_num) + qpos_right = np.zeros(self.arm_right.jnt_num) + for i in range(self.arm_left.jnt_num): + qpos_left[i] = self.mj_data.joint(self.arm_left.joint_index[i]).qpos + for i in range(self.arm_right.jnt_num): + qpos_right[i] = self.mj_data.joint(self.arm_right.joint_index[i]).qpos + left_gripper_qpos = self.mj_data.joint(self.arm_left.gripper_index[0]).qpos + right_gripper_qpos = self.mj_data.joint(self.arm_right.gripper_index[0]).qpos + return np.hstack([qpos_left,left_gripper_qpos,qpos_right,right_gripper_qpos]) + + + @property + def get_obs_qvel(self): + qvel_left = np.zeros(self.arm_left.jnt_num) + qvel_right = np.zeros(self.arm_right.jnt_num) + for i in range(self.arm_left.jnt_num): + qvel_left[i] = self.mj_data.joint(self.arm_left.joint_index[i]).qvel + for i in range(self.arm_right.jnt_num): + qvel_right[i] = self.mj_data.joint(self.arm_right.joint_index[i]).qvel + left_gripper_qvel = PUPPET_GRIPPER_VELOCITY_NORMALIZE_FN(self.mj_data.joint(self.arm_left.gripper_index[0]).qvel) + right_gripper_qvel = PUPPET_GRIPPER_VELOCITY_NORMALIZE_FN(self.mj_data.joint(self.arm_right.gripper_index[0]).qvel) + return np.hstack([qvel_left,left_gripper_qvel,qvel_right,right_gripper_qvel]) + + + def _get_obs(self): + obs = collections.OrderedDict() + obs['qpos'] = self.get_obs_qpos + obs['qvel'] = self.get_obs_qvel + obs['env_state'] = self.get_env_state() + obs['images'] = dict() + obs['images']['top'] = self.top + obs['images']['angle'] = self.angle + obs['images']['vis'] = self.vis + #used in scripted policy to obtain starting pose + obs['mocap_pose_left'] = np.concatenate([self.mj_data.mocap_pos[0], self.mj_data.mocap_quat[0]]).copy() + obs['mocap_pose_right'] = np.concatenate([self.mj_data.mocap_pos[1], self.mj_data.mocap_quat[1]]).copy() + obs['gripper_ctrl'] = self.mj_data.ctrl.copy() + return obs + + + def get_env_state(self): + raise NotImplementedError + + + def _get_reward(self): + raise NotImplementedError + + + @property + def cam_view(self): + if self.cam == 'top': + return self.top + elif self.cam == 'angle': + return self.angle + elif self.cam == 'vis': + return self.vis + else: + raise AttributeError("please input right name") + + + def camera_viewer(self): + img_renderer = mj.Renderer(self.mj_model,height=480,width=640) + cv2.namedWindow('Cam view',cv2.WINDOW_NORMAL) + while True: + img_renderer.update_scene(self.mj_data,camera="front_close") + self.vis = img_renderer.render() + img_renderer.update_scene(self.mj_data,camera="top") + self.top = img_renderer.render() + img_renderer.update_scene(self.mj_data,camera="angle") + self.angle = img_renderer.render() + # org = img_renderer.render() + # self.image = org[:, :, ::-1] + cv2.imshow('Cam view', self.cam_view) + cv2.waitKey(1) + + + def cam_start(self): + cam_thread = threading.Thread(target=self.camera_viewer) + cam_thread.daemon = True + cam_thread.start() + + + +# if __name__ == "__main__": +# from roboimi.assets.robots.vx300s import VX300s_insert_ee,VX300s_transfer_ee + +# env = DualVX300S_EE_base( +# robot=VX300s_insert_ee(), +# is_render=True, +# control_freq=200, +# cam_view='top' +# ) + + + +# env.reset() +# action_l = np.array([-0.2,0.3,0.3, +# 1.0,0.0,0.0,0.0]) +# # action_r = np.array([0.3,0.1,0.3, +# # 1.0,0.0,0.0,0.0]) +# action_r = np.array([0.2,0.3,0.3, +# 1.0,0.0,0.0,0.0]) +# gripper = np.array([0.0,0.0,0.0,0.0]) +# action = np.hstack((action_l,action_r,gripper)) + +# for t in range(int(1e6)): +# env.step(action) +# if env.is_render: +# env.render() + \ No newline at end of file diff --git a/roboimi/envs/vx300s_jnt.py b/roboimi/envs/vx300s_jnt.py new file mode 100644 index 0000000..6cddfa8 --- /dev/null +++ b/roboimi/envs/vx300s_jnt.py @@ -0,0 +1,259 @@ +import numpy as np +import time +from roboimi.envs.vx300s_jnt_base import DualVX300S_Jnt_base +import cv2 +from roboimi.utils.interpolators import OTG +import mujoco as mj +import threading +from pyquaternion import Quaternion +import copy + + + +class DualVX300S_Jnt_Insert(DualVX300S_Jnt_base): + """ + + :param is_render: Choose if use the renderer to render the scene or not. + :param renderer: Choose official renderer with "viewer", + another renderer with "mujoco_viewer" + :param control_freq: Upper-layer control frequency. + Note that high frequency will cause high time-lag. + :param cam_view: Choice of Camera view. + """ + + def __init__(self, + robot=None, + is_render=False, + renderer="viewer", + control_freq=200, + cam_view=None + ): + super().__init__( + robot=robot, + is_render=is_render, + renderer=renderer, + control_freq=control_freq, + cam_view=cam_view + ) + self.obs = None + self.rew = None + self.max_reward = 4 + self.box_pose = None + self.num = 0 + + self.cam_start() + + + + def step(self,action=np.zeros(14)): + self.obs = self._get_obs() + self.rew = self._get_reward() + super().step(action) + + + def reset(self,box_pose): + self.mj_data.joint('red_peg_joint').qpos[0] = box_pose[0] + self.mj_data.joint('red_peg_joint').qpos[1] = box_pose[1] + self.mj_data.joint('red_peg_joint').qpos[2] = box_pose[2] + self.mj_data.joint('red_peg_joint').qpos[3] = 1.0 + self.mj_data.joint('red_peg_joint').qpos[4] = 0.0 + self.mj_data.joint('red_peg_joint').qpos[5] = 0.0 + self.mj_data.joint('red_peg_joint').qpos[6] = 0.0 + + self.mj_data.joint('blue_socket_joint').qpos[0] = box_pose[3] + self.mj_data.joint('blue_socket_joint').qpos[1] = box_pose[4] + self.mj_data.joint('blue_socket_joint').qpos[2] = box_pose[5] + self.mj_data.joint('blue_socket_joint').qpos[3] = 1.0 + self.mj_data.joint('blue_socket_joint').qpos[4] = 0.0 + self.mj_data.joint('blue_socket_joint').qpos[5] = 0.0 + self.mj_data.joint('blue_socket_joint').qpos[6] = 0.0 + super().reset() + + self.cam_flage = True + t=0 + while self.cam_flage: + if(type(self.top)==type(None)): + time.sleep(0.01) + # self.obs = self._get_obs() + t+=1 + else: + self.cam_flage=False + print("\nsleep time=",0.01*t) + self.obs = self._get_obs() + + + def preStep(self, action=np.zeros(14)): + action_left = action[:self.arm_left.jnt_num] + action_right = action[self.arm_right.jnt_num+1:-1] + if self.num >= 15000: + action_grip = np.array([action[self.arm_left.jnt_num]*0.6,-action[self.arm_left.jnt_num]*0.6,action[-1]*0.4,-action[-1]*0.4]) + # if self.num >=27000: + # action_grip = np.array([action[self.arm_left.jnt_num]*0.4,-action[self.arm_left.jnt_num]*0.4,action[-1]*0.3,-action[-1]*0.3]) + + else: + action_grip = np.array([action[self.arm_left.jnt_num],-action[self.arm_left.jnt_num],action[-1],-action[-1]]) + action_jnt_base = np.hstack((action_left,action_right,action_grip)) + super().preStep(action_jnt_base) + self.num += 1 + + + + + def get_env_state(self): + return self.mj_data.qpos.copy()[16:] + + def _get_reward(self): + all_contact_pairs = [] + for collision_num in range(self.mj_data.ncon): + geom1 = self.mj_data.contact[collision_num].geom1 + geom2 = self.mj_data.contact[collision_num].geom2 + name_geom_1 = self.getID2Name('geom',geom1) + name_geom_2 = self.getID2Name('geom',geom2) + contact_pair = (name_geom_1, name_geom_2) + all_contact_pairs.append(contact_pair) + + touch_right_gripper = ("red_peg", "vx300s_right/10_right_gripper_finger") in all_contact_pairs + touch_left_gripper = ("socket-1", "vx300s_left/10_left_gripper_finger") in all_contact_pairs or \ + ("socket-2", "vx300s_left/10_left_gripper_finger") in all_contact_pairs or \ + ("socket-3", "vx300s_left/10_left_gripper_finger") in all_contact_pairs or \ + ("socket-4", "vx300s_left/10_left_gripper_finger") in all_contact_pairs + + peg_touch_table = ("red_peg", "table") in all_contact_pairs + socket_touch_table = ("socket-1", "table") in all_contact_pairs or \ + ("socket-2", "table") in all_contact_pairs or \ + ("socket-3", "table") in all_contact_pairs or \ + ("socket-4", "table") in all_contact_pairs + peg_touch_socket = ("red_peg", "socket-1") in all_contact_pairs or \ + ("red_peg", "socket-2") in all_contact_pairs or \ + ("red_peg", "socket-3") in all_contact_pairs or \ + ("red_peg", "socket-4") in all_contact_pairs + pin_touched = ("red_peg", "pin") in all_contact_pairs + + reward = 0 + if touch_left_gripper and touch_right_gripper: # touch both + reward = 1 + if touch_left_gripper and touch_right_gripper and (not peg_touch_table) and (not socket_touch_table): # grasp both + reward = 2 + if peg_touch_socket and (not peg_touch_table) and (not socket_touch_table): # peg and socket touching + reward = 3 + if pin_touched: # successful insertion + reward = 4 + return reward + + + + +# class DualVX300S_Jnt_Transfer(DualVX300S_Jnt_base): +# """ + +# :param is_render: Choose if use the renderer to render the scene or not. +# :param renderer: Choose official renderer with "viewer", +# another renderer with "mujoco_viewer" +# :param control_freq: Upper-layer control frequency. +# Note that high frequency will cause high time-lag. +# :param cam_view: Choice of Camera view. +# """ + +# def __init__(self, +# robot=None, +# is_render=False, +# renderer="viewer", +# control_freq=200, +# cam_view=None +# ): +# super().__init__( +# robot=robot, +# is_render=is_render, +# renderer=renderer, +# control_freq=control_freq, +# cam_view=cam_view +# ) +# self.obs = None +# self.rew = None +# self.max_reward = 4 + +# def step(self,action=np.zeros(14)): +# self.obs = self._get_obs() +# self.rew = self._get_reward() +# super().step(action) + + + +# def reset(self): +# super().reset() + +# def preStep(self, action): +# pass + +# def get_env_state(self): +# return self.mj_data.qpos.copy()[16:] + +# def _get_reward(self): +# all_contact_pairs = [] +# for collision_num in range(self.mj_data.ncon): +# geom1 = self.mj_data.contact[collision_num].geom1 +# geom2 = self.mj_data.contact[collision_num].geom2 +# name_geom_1 = self.getID2Name('geom',geom1) +# name_geom_2 = self.getID2Name('geom',geom2) +# contact_pair = (name_geom_1, name_geom_2) +# all_contact_pairs.append(contact_pair) + +# touch_left_gripper = ("red_box", "vx300s_left/10_left_gripper_finger") in all_contact_pairs +# touch_right_gripper = ("red_box", "vx300s_right/10_right_gripper_finger") in all_contact_pairs +# touch_table = ("red_box", "table") in all_contact_pairs + +# reward = 0 +# if touch_right_gripper: +# reward = 1 +# if touch_right_gripper and not touch_table: # lifted +# reward = 2 +# if touch_left_gripper: # attempted transfer +# reward = 3 +# if touch_left_gripper and not touch_table: # successful transfer +# reward = 4 +# return reward + + +def make_sim_env(task_name): + # if 'sim_transfer_cube' in task_name: + # from roboimi.assets.robots.vx300s import VX300s_transfer_jnt + # env = DualVX300S_Jnt_Transfer( + # robot=VX300s_transfer_jnt(), + # is_render=True, + # control_freq=30, + # cam_view='top' + # ) + if 'sim_insertion' in task_name: + from roboimi.assets.robots.vx300s import VX300s_insert_jnt + env = DualVX300S_Jnt_Insert( + robot=VX300s_insert_jnt(), + is_render=True, + control_freq=30, + cam_view='top' + ) + else: + raise NotImplementedError + return env + + +if __name__ == "__main__": + task_name = 'sim_insertion' + env = make_sim_env(task_name) + box = np.array([0.0,0.5,1.05,-0.2,-0.8,0.05]) + env.reset(box) + action_l = np.array([-0.0,-0.0,-0.5, + 0.0,0.0,0.0]) + action_r = np.array([-0.5,0.0,0.0, + 0.0,0.0,0.0]) + action_grip = np.array([-0.1,-0.1]) + action = np.hstack((action_l,action_r,action_grip)) + ti=0 + for t in range(int(1e6)): + env.step(action) + ti +=1 + print("ti==",ti) + if env.is_render: + env.render() + # if time == 1000: + # env.reset() + # time= 0 \ No newline at end of file diff --git a/roboimi/envs/vx300s_jnt_base.py b/roboimi/envs/vx300s_jnt_base.py new file mode 100644 index 0000000..7d2f646 --- /dev/null +++ b/roboimi/envs/vx300s_jnt_base.py @@ -0,0 +1,222 @@ +import numpy as np +import time +from roboimi.envs.mujoco_base import MujocoEnv +import cv2 +from roboimi.utils.interpolators import OTG +import mujoco as mj +import threading +from threading import Event +import collections +from roboimi.utils.constants import PUPPET_GRIPPER_POSITION_NORMALIZE_FN + +class DualVX300S_Jnt_base(MujocoEnv): + """ + + :param is_render: Choose if use the renderer to render the scene or not. + :param renderer: Choose official renderer with "viewer", + another renderer with "mujoco_viewer" + :param control_freq: Upper-layer control frequency. + Note that high frequency will cause high time-lag. + :param is_interpolate: Use interpolator while stepping. + """ + + def __init__(self, + robot=None, + is_render=False, + renderer="viewer", + control_freq=20, + cam_view=None + ): + super().__init__( + robot=robot, + is_render=is_render, + renderer=renderer, + control_freq=control_freq + ) + self.arm_left = self.robot.left_arm + self.arm_right = self.robot.right_arm + self.base_time = self.control_timestep + self.cam = cam_view + #camera view setting + self.vis = None + self.top = None + self.angle = None + self.cam_is_open = False + self.event = None + # self.cam_start() + + + def reset(self): + # self.event = Event() + # self.event.clear() + # self.img_renderer = mj.Renderer(self.mj_model,height=480,width=640) + self._setInitPose() + mj.mj_step(self.mj_model, self.mj_data) + + + def step(self,action=np.zeros(6)): + for i in range(int(self.control_timestep / self.model_timestep)): + if int(self.control_timestep / self.model_timestep) == 0: + raise ValueError("Control frequency is too low. Checkout you are not in renderer mode." + "Current Model-Timestep:{}".format(self.model_timestep)) + super().step(action) + + + def preStep(self, action): + if len(action) == self.robot.jnt_num + 4 and action is not None: + action_l = action[:self.arm_left.jnt_num] + action_r = action[self.arm_left.jnt_num:-4] + self.move_J(action_l,self.arm_left) + self.move_J(action_r,self.arm_right) + grasp_ctrl = action[-4:] + self.gripper_ctrl(grasp_ctrl) + else: + raise AttributeError + + + def move_J(self, jnt : np.ndarray, Arm): + if len(jnt) == Arm.jnt_num: + for i in range(Arm.jnt_num): + self.mj_data.actuator(Arm.actuator_index[i]).ctrl = jnt[i] + else: + raise AttributeError + + + def gripper_ctrl(self, ctrl : np.ndarray): + if len(ctrl) == 4: + self.mj_data.actuator(self.arm_left.actuator_index[6]).ctrl = ctrl[0] + self.mj_data.actuator(self.arm_left.actuator_index[7]).ctrl = ctrl[1] + self.mj_data.actuator(self.arm_right.actuator_index[6]).ctrl = ctrl[2] + self.mj_data.actuator(self.arm_right.actuator_index[7]).ctrl = ctrl[3] + else: + raise AttributeError + + + @property + def get_obs_qpos(self): + qpos_left = np.zeros(self.arm_left.jnt_num) + qpos_right = np.zeros(self.arm_right.jnt_num) + for i in range(self.arm_left.jnt_num): + qpos_left[i] = self.mj_data.joint(self.arm_left.joint_index[i]).qpos + for i in range(self.arm_right.jnt_num): + qpos_right[i] = self.mj_data.joint(self.arm_right.joint_index[i]).qpos + left_gripper_qpos = self.mj_data.joint(self.arm_left.gripper_index[0]).qpos + right_gripper_qpos = self.mj_data.joint(self.arm_right.gripper_index[0]).qpos + return np.hstack([qpos_left,left_gripper_qpos,qpos_right,right_gripper_qpos]) + + + def _get_obs(self): + obs = collections.OrderedDict() + obs['qpos'] = self.get_obs_qpos + obs['qvel'] = self.mj_data.qvel + obs['env_state'] = self.get_env_state() + obs['images'] = dict() + obs['images']['top'] = self.top + obs['images']['angle'] = self.angle + obs['images']['vis'] = self.vis + return obs + + + def get_env_state(self): + raise NotImplementedError + + + def _get_reward(self): + raise NotImplementedError + + @property + def cam_view(self): + if self.cam == 'top': + return self.top + elif self.cam == 'angle': + return self.angle + elif self.cam == 'vis': + return self.vis + else: + raise AttributeError("please input right name") + + def camera_viewer_test(self): + self.img_renderer = mj.Renderer(self.mj_model,height=480,width=640) + self.img_renderer.update_scene(self.mj_data,camera="front_close") + self.vis = self.img_renderer.render() + self.vis = self.vis[:, :, ::-1] + self.img_renderer.update_scene(self.mj_data,camera="top") + self.top = self.img_renderer.render() + self.top =self.top[:, :, ::-1] + self.img_renderer.update_scene(self.mj_data,camera="angle") + self.angle = self.img_renderer.render() + self.angle = self.angle[:, :, ::-1] + + + def camera_viewer(self): + img_renderer = mj.Renderer(self.mj_model,height=480,width=640) + print("delay ========",time.time()-self.mj_time) + # cv2.namedWindow('Cam view',cv2.WINDOW_NORMAL) + while True: + # print("init win") + # if self.event.isSet(): + # cv2.destroyAllWindows() + # print("event is set") + # break + + img_renderer.update_scene(self.mj_data,camera="front_close") + self.vis = img_renderer.render() + self.vis = self.vis[:, :, ::-1] + img_renderer.update_scene(self.mj_data,camera="top") + self.top = img_renderer.render() + self.top =self.top[:, :, ::-1] + img_renderer.update_scene(self.mj_data,camera="angle") + self.angle = img_renderer.render() + self.angle = self.angle[:, :, ::-1] + + + # cv2.imshow('Cam view', self.top) + # cv2.waitKey(1) + + + + + def cam_start(self): + + self.cam_thread = threading.Thread(target=self.camera_viewer) + self.cam_thread.daemon = True + self.cam_thread.start() + + + + + + + +if __name__ == "__main__": + from roboimi.assets.robots.vx300s import VX300s_insert_jnt,VX300s_transfer_jnt + + env = DualVX300S_Jnt_base( + robot=VX300s_insert_jnt(), + is_render=True, + control_freq=200, + cam_view='top' + ) + + # env = DualVX300S_EE_base( + # robot=VX300s_transfer(), + # is_render=True, + # control_freq=200, + # cam_view='top' + # ) + + # env = transfer + env.reset() + # env.cam_start() + action_l = np.zeros(6) + action_l[0]=0.9 + action_r = np.zeros(6) + action_r[0] = -0.0 + gripper_ctrl = np.array([0.0,-0,0.0,0.0]) + action = np.hstack((action_l,action_r,gripper_ctrl)) + # action = np.array([1,2,3,4,5,6,7,8,9,10,11,12]) + for t in range(int(1e6)): + env.step(action) + if env.is_render: + env.render() + \ No newline at end of file diff --git a/roboimi/scripts/diana.py b/roboimi/scripts/diana.py new file mode 100644 index 0000000..49c29cd --- /dev/null +++ b/roboimi/scripts/diana.py @@ -0,0 +1,185 @@ +import numpy as np +from roboimi.envs.single_base import SingleArmEnv +import threading,lcm,rclpy,copy,mujoco,os,time +from roboimi.scripts.lcm_interfaces.diana_joint_states_t import diana_joint_states_t +from std_msgs.msg import Float32MultiArray +from rclpy.node import Node +from rclpy.executors import SingleThreadedExecutor + +# 遥操位置控制,即运动学控制时,要关闭xml的重力,即 gravity="disable" +class Diana_Teleop(): + def __init__(self, xml_path): + self.model = mujoco.MjModel.from_xml_path(xml_path) + self.data = mujoco.MjData(self.model) + self.control_freq = 200 + self.sim_freq = 2000 + self.freq = int(np.floor(self.sim_freq/self.control_freq)) + self.target_qpos = np.array([0.0, 0.0, 0.0, 2.17, 0.0, -0.9, 0.0]) + + # keyboard flag + self.render_paused = True + self.exit_flag = False + self.is_render = False + self.renderer = None + self.time_interval = 0.005 + self.shared_resource_lock = threading.Lock() + + self.sub = LCM_sub("diana_joint_state") + self.lcm_thread = threading.Thread(target=self.sub.lcm_spin) + self.robot_jnt = ["0_j1","0_j2","0_j3","0_j4","0_j5","0_j6","0_j7"] + self.initRender(True, 'viewer') + + self.arm = np.zeros(7) + self.node = Node("diana_sim_publisher") + self.publisher = self.node.create_publisher(Float32MultiArray, 'mj_joint_states', 10) + self.ros2_thread = threading.Thread(target=self.ros2_publisher) + + # self.timer = self.node.create_timer(0.001, self.timer_callback) # 每1毫秒调用一次回调 + # self.exe = SingleThreadedExecutor() + # self.exe.add_node(self.node) + + + + def initRender(self,is_render : bool, viewer : str): + self.is_render = is_render + if self.is_render: + if viewer == "viewer": + def key_callback(keycode): + if keycode == 32: #space + self.render_paused = not self.render_paused + elif keycode == 256: #escape + self.exit_flag = not self.exit_flag + + self.viewer = mujoco.viewer.launch_passive(self.model, self.data, + key_callback=key_callback, show_left_ui=False, show_right_ui=False) + self.viewer.cam.lookat = np.array([0.4, 0, 0.5]) + self.viewer.cam.azimuth -= 0.005 + with self.viewer.lock(): + self.viewer.opt.flags[mujoco.mjtVisFlag.mjVIS_CONTACTPOINT] = int(self.data.time % 2) + print("mujoco viewer init !") + else: + raise ValueError('renderer init failed for some reason.') + + else: + print("No asking for render simulation") + + + def setArmPos(self,q : np.ndarray): + for i in range(7): + self.target_qpos[i] = q[i] + + + def getArmPos(self): + q = np.zeros(7) + for i in range(7): + q[i] = self.data.joint(self.robot_jnt[i]).qpos[0] + return q + + def publish_joint_angles(self, angles): + angles = [float(x) for x in angles] + msg = Float32MultiArray() + msg.data = angles + self.publisher.publish(msg) + # self.node.get_logger().info(f'Publishing joint angles: {msg.data}') + + def timer_callback(self): # ros2线程管理 + self.publish_joint_angles(self.arm) + + + def ros2_publisher(self): # thread线程管理 + while True: + self.publish_joint_angles(self.arm) + time.sleep(0.001) + + + def mj_run(self): + num = 0 + while True: + for unit_interval in range(self.freq): + if self.sub.flag: + self.setArmPos(self.sub.diana_arm) + for i in range(7): + self.data.joint(self.robot_jnt[i]).qpos[0] = self.target_qpos[i] + self.sub.flag = False + else: + for i in range(7): + self.data.joint(self.robot_jnt[i]).qpos[0] = self.target_qpos[i] + mujoco.mj_forward(self.model, self.data) + mujoco.mj_step(self.model, self.data) + self.arm = self.getArmPos() + # self.publish_joint_angles(self.arm) + if self.is_render: + self.shared_resource_lock.acquire() + if self.viewer is not None and self.render_paused is True: + if self.viewer.is_running() and self.exit_flag is False: + self.viewer: mujoco.viewer.Handle + self.viewer.sync() + else: + self.viewer.close() + self.shared_resource_lock.release() + else: + pass + + +class LCM_sub(object): + def __init__(self,name : str): + self.lc = lcm.LCM() + self.sub_ = self.lc.subscribe(name, self.lcm_handler) + self.msg = None + self.diana_arm = np.array([0.0, 0.0, 0.0, 2.17, 0.0, -0.9, 0.0]) + self.pre_diana_arm = np.array([0.0, 0.0, 0.0, 2.17, 0.0, -0.9, 0.0]) + # self.diana_arm = np.array([0.0, 0.0, 0.0, 1.57, 0.0, 0.0, 0.0]) + # self.pre_diana_arm = np.array([0.0, 0.0, 0.0, 1.57, 0.0, 0.0, 0.0]) + self.temp = np.zeros(7) + self.ulim = np.array([ 2.56, 1.57, 2.56, 3.05, 3.05, 0.523, 3.05]) + self.llim = np.array([-2.56, -1.57, -2.56, 0.0, -3.05, -3.05, -3.05]) + self.flag = False + + def lcm_handler(self,channel, data): + self.msg = diana_joint_states_t.decode(data) + if self.msg.enabled: + self.flag = True + for i in range(7): + self.diana_arm[i] = np.maximum(self.llim[i],np.minimum(self.msg.jntpos[i],self.ulim[i])) + self.temp[i] = self.diana_arm[i] + # if self.diana_arm[i]-self.pre_diana_arm[i] > 0.003: + # self.diana_arm[i] = self.pre_diana_arm[i]+0.003 + # elif self.diana_arm[i]-self.pre_diana_arm[i] < -0.003: + # self.diana_arm[i] = self.pre_diana_arm[i]-0.003 + # else: + # pass + # print("connected!!! \n") + else: + pass + + def lcm_spin(self): + try: + while True: + self.lc.handle() + except KeyboardInterrupt: + self.lc.unsubscribe(self.sub_) + print("KeyboardInterrupt !") + +def main(args=None): + rclpy.init(args=args) + CURRENT = os.getcwd() + scence = CURRENT + '/assets/singlediana.xml' + print(scence) + env = Diana_Teleop(scence) + # 收发线程放在控制线程前 + try: + env.lcm_thread.start() + # env.exe.spin() + env.ros2_thread.start() + env.mj_run() + except KeyboardInterrupt: + print("\nbye") + finally: + rclpy.try_shutdown() + + + +if __name__ == '__main__': + main() + + diff --git a/roboimi/scripts/lcm_interfaces/diana_joint_states_t.py b/roboimi/scripts/lcm_interfaces/diana_joint_states_t.py new file mode 100644 index 0000000..44062d2 --- /dev/null +++ b/roboimi/scripts/lcm_interfaces/diana_joint_states_t.py @@ -0,0 +1,80 @@ +"""LCM type definitions +This file automatically generated by lcm. +DO NOT MODIFY BY HAND!!!! +""" + +try: + import cStringIO.StringIO as BytesIO +except ImportError: + from io import BytesIO +import struct + +class diana_joint_states_t(object): + __slots__ = ["timestamp", "jntpos", "num", "name", "enabled"] + + __typenames__ = ["int64_t", "double", "int32_t", "string", "boolean"] + + __dimensions__ = [None, [7], None, None, None] + + def __init__(self): + self.timestamp = 0 + self.jntpos = [ 0.0 for dim0 in range(7) ] + self.num = 0 + self.name = "" + self.enabled = False + + def encode(self): + buf = BytesIO() + buf.write(diana_joint_states_t._get_packed_fingerprint()) + self._encode_one(buf) + return buf.getvalue() + + def _encode_one(self, buf): + buf.write(struct.pack(">q", self.timestamp)) + buf.write(struct.pack('>7d', *self.jntpos[:7])) + buf.write(struct.pack(">i", self.num)) + __name_encoded = self.name.encode('utf-8') + buf.write(struct.pack('>I', len(__name_encoded)+1)) + buf.write(__name_encoded) + buf.write(b"\0") + buf.write(struct.pack(">b", self.enabled)) + + def decode(data): + if hasattr(data, 'read'): + buf = data + else: + buf = BytesIO(data) + if buf.read(8) != diana_joint_states_t._get_packed_fingerprint(): + raise ValueError("Decode error") + return diana_joint_states_t._decode_one(buf) + decode = staticmethod(decode) + + def _decode_one(buf): + self = diana_joint_states_t() + self.timestamp = struct.unpack(">q", buf.read(8))[0] + self.jntpos = struct.unpack('>7d', buf.read(56)) + self.num = struct.unpack(">i", buf.read(4))[0] + __name_len = struct.unpack('>I', buf.read(4))[0] + self.name = buf.read(__name_len)[:-1].decode('utf-8', 'replace') + self.enabled = bool(struct.unpack('b', buf.read(1))[0]) + return self + _decode_one = staticmethod(_decode_one) + + def _get_hash_recursive(parents): + if diana_joint_states_t in parents: return 0 + tmphash = (0xb623cd9515080fd9) & 0xffffffffffffffff + tmphash = (((tmphash<<1)&0xffffffffffffffff) + (tmphash>>63)) & 0xffffffffffffffff + return tmphash + _get_hash_recursive = staticmethod(_get_hash_recursive) + _packed_fingerprint = None + + def _get_packed_fingerprint(): + if diana_joint_states_t._packed_fingerprint is None: + diana_joint_states_t._packed_fingerprint = struct.pack(">Q", diana_joint_states_t._get_hash_recursive([])) + return diana_joint_states_t._packed_fingerprint + _get_packed_fingerprint = staticmethod(_get_packed_fingerprint) + + def get_hash(self): + """Get the LCM hash of the struct""" + return struct.unpack(">Q", diana_joint_states_t._get_packed_fingerprint())[0] + diff --git a/roboimi/scripts/publisher.py b/roboimi/scripts/publisher.py new file mode 100644 index 0000000..f28cac2 --- /dev/null +++ b/roboimi/scripts/publisher.py @@ -0,0 +1,59 @@ +import lcm,time,random +from lcm_interfaces.diana_joint_states_t import diana_joint_states_t +import numpy as np + +class LCM_pub(object): + def __init__(self, name : str, udpm : str): + self.lc = lcm.LCM(udpm) + self.msg = diana_joint_states_t() + self.name = name + self.time = 0 + self.initMsg() + + def initMsg(self): + self.msg.timestamp = self.time + self.msg.num = 7 + self.msg.jntpos = [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0] + self.msg.name = "arm init" + self.msg.enabled = True + + + def set_msg(self,qpos : np.ndarray): + self.time += 1 + for i in range(self.msg.num): + self.msg.jntpos[i] = qpos[i] + + + def publish(self): + self.lc.publish(self.name, self.msg.encode()) + +if __name__ == "__main__": + udp = "udpm://239.255.76.67:7667?ttl=255" + pub = LCM_pub("diana_joint_state",udp) + q = np.array([0.0, 0.0, 0.0, 1.57, 0.0, 0.0, 0.0]) + qt = np.array([0.0, 0.0, 0.0, 1.57, 0.0, 0.0, 0.0]) + upperlim= [ 2.56, 1.57, 2.56, 3.05, 3.05, 3.14, 3.14] + lowerlim= [-2.56, -1.57, -2.56, 0.0, -3.05, -3.14, -3.14] + + # pub.update(left,right) + while True: + diff = 0.1 + for j in range(7): + symbol = random.randint(0,1) + if symbol == 0: + symbol = -1.0 + else: symbol = 1.0 + # q[j] = random.uniform(lowerlim[j],upperlim[j]) + qt[j] = q[j] + random.random()*random.uniform(0,diff)*symbol + if qt[j] > upperlim[j]: + qt[j] = upperlim[j] + elif qt[j] < lowerlim[j]: + qt[j] = lowerlim[j] + + pub.set_msg(qt) + pub.publish() + time.sleep(10) + + + + diff --git a/roboimi/scripts/ros2_subscription.py b/roboimi/scripts/ros2_subscription.py new file mode 100644 index 0000000..96ae027 --- /dev/null +++ b/roboimi/scripts/ros2_subscription.py @@ -0,0 +1,27 @@ +import rclpy +from rclpy.node import Node +from std_msgs.msg import Float32MultiArray +import numpy as np + +if __name__ == "__main__": + rclpy.init() # 初始化 ROS 2 + node = Node("diana_sim_publisher") # 创建节点 + publisher = node.create_publisher(Float32MultiArray, 'mj_joint_states', 10) + + try: + while rclpy.ok(): # 使用 rclpy.ok() 检查 ROS 2 是否正在运行 + angles = np.zeros(7) # 生成一个 7 个元素为 0 的数组 + angles = [float(x) for x in angles] # 转换为 float 列表 + msg = Float32MultiArray() + msg.data = angles # 设置消息数据 + publisher.publish(msg) # 发布消息 + + node.get_logger().info(f'Publishing joint angles: {msg.data}') # 日志输出 + + + except KeyboardInterrupt: + pass # 捕获 Ctrl+C + + finally: + node.destroy_node() # 确保节点被销毁 + rclpy.shutdown() # 关闭 ROS 2 diff --git a/roboimi/scripts/single_diana_teleop.py b/roboimi/scripts/single_diana_teleop.py new file mode 100644 index 0000000..950eb05 --- /dev/null +++ b/roboimi/scripts/single_diana_teleop.py @@ -0,0 +1,127 @@ +import numpy as np +from roboimi.envs.single_base import SingleArmEnv +import threading,lcm,rclpy,copy +from roboimi.scripts.lcm_interfaces.diana_joint_states_t import diana_joint_states_t +from std_msgs.msg import Float32MultiArray +from rclpy.node import Node + +class Diana_Teleop(SingleArmEnv): + def __init__(self, + robot=None, + is_render=True, + renderer="mujoco_viewer", + control_freq=200, + is_interpolate=True, + is_pd=False, + ): + super().__init__( + robot=robot, + is_render=is_render, + renderer=renderer, + control_freq=control_freq, + is_interpolate=is_interpolate + ) + self.qpos = np.zeros(7) + self.node = Node("diana_sim_publisher") + self.publisher = self.node.create_publisher(Float32MultiArray, 'mj_joint_states', 10) + + self.sub = LCM_sub("diana_joint_state") + self.lcm_thread=threading.Thread(target = self.sub.lcm_spin) + + def publish_joint_angles(self, angles): + angles = [float(x) for x in angles] + msg = Float32MultiArray() + msg.data = angles + self.publisher.publish(msg) + self.node.get_logger().info(f'Publishing joint angles: {msg.data}') + + def reset(self): + super().reset() + + def preStep(self, action): + if isinstance(action,np.ndarray) and len(action)==7: + super().preStep(action) + else: + raise AttributeError("size should be 7") + + def step(self, action): + super().step(action) + for i in range(7): + self.qpos[i] = copy.deepcopy(self.robot.robot_data.joint(self.robot.single_arm.joint_index[i]).qpos[0]) + self.publish_joint_angles(self.qpos) + + def mj_run(self): + while True: + # self.action = np.array([0, 0, 0, 1.57, 0, 0, 0]) + self.action = self.sub.diana_arm + self.step(self.action) + if self.is_render: + self.render() + +class LCM_sub(object): + def __init__(self,name : str): + self.lc = lcm.LCM() + self.sub_ = self.lc.subscribe(name, self.lcm_handler) + self.msg = None + self.diana_arm = np.array([0.0, 0.0, 0.0, 2.17, 0.0, -0.9, 0.0]) + self.pre_diana_arm = np.array([0.0, 0.0, 0.0, 2.17, 0.0, -0.9, 0.0]) + # self.diana_arm = np.array([0.0, 0.0, 0.0, 1.57, 0.0, 0.0, 0.0]) + # self.pre_diana_arm = np.array([0.0, 0.0, 0.0, 1.57, 0.0, 0.0, 0.0]) + self.temp = np.zeros(7) + self.ulim = np.array([ 2.56, 1.57, 2.56, 3.05, 3.05, 0.523, 3.05]) + self.llim = np.array([-2.56, -1.57, -2.56, 0.0, -3.05, -3.05, -3.05]) + self.flag = False + + def lcm_handler(self,channel, data): + self.msg = diana_joint_states_t.decode(data) + if self.msg.enabled: + self.flag = True + for i in range(7): + self.diana_arm[i] = np.maximum(self.llim[i],np.minimum(self.msg.jntpos[i],self.ulim[i])) + # if self.diana_arm[i]-self.pre_diana_arm[i] > 0.0001: + # self.diana_arm[i] = self.pre_diana_arm[i]+0.0001 + # elif self.diana_arm[i]-self.pre_diana_arm[i] < -0.0001: + # self.diana_arm[i] = self.pre_diana_arm[i]-0.0001 + # else: + # pass + self.temp[i] = self.diana_arm[i] + self.pre_diana_arm = self.temp + # print("connected!!! \n") + else: + pass + + def lcm_spin(self): + try: + while True: + self.lc.handle() + except KeyboardInterrupt: + self.lc.unsubscribe(self.sub_) + print("KeyboardInterrupt !") + +def main(args=None): + rclpy.init(args=args) + from roboimi.assets.robots.diana_med import DianaMed + env = Diana_Teleop( + robot=DianaMed(), + renderer='viewer', + is_render=True, + control_freq=10, + is_interpolate=True, + is_pd=False + ) + env.reset() + try: + env.lcm_thread.start() + env.mj_run() + + except KeyboardInterrupt: + print("\nbye") + finally: + rclpy.try_shutdown() + + + +if __name__ == '__main__': + main() + + diff --git a/roboimi/utils/KDL_utils/KDL_main.py b/roboimi/utils/KDL_utils/KDL_main.py new file mode 100644 index 0000000..68752ac --- /dev/null +++ b/roboimi/utils/KDL_utils/KDL_main.py @@ -0,0 +1,71 @@ +""" +This scripts is used for building KDL tree, which is a necessary component of KDL chains. +- Do not try to change the codes. +""" +import PyKDL as kdl +from roboimi.utils.KDL_utils import transform as T + + +def urdf_pose_to_kdl_frame(pose): + pos = [0., 0., 0.] + rot = [0., 0., 0.] + if pose is not None: + if pose.position is not None: + pos = pose.position + if pose.rotation is not None: + rot = pose.rotation + return kdl.Frame(kdl.Rotation.Quaternion(*T.euler2Quat(rot)), + kdl.Vector(*pos)) + + +def urdf_joint_to_kdl_joint(jnt): + origin_frame = urdf_pose_to_kdl_frame(jnt.origin) + if jnt.joint_type == 'fixed': + return kdl.Joint(jnt.name) + axis = kdl.Vector(*jnt.axis) + if jnt.joint_type == 'revolute': + return kdl.Joint(jnt.name, origin_frame.p, + origin_frame.M * axis, kdl.Joint.RotAxis) + if jnt.joint_type == 'continuous': + return kdl.Joint(jnt.name, origin_frame.p, + origin_frame.M * axis, kdl.Joint.RotAxis) + if jnt.joint_type == 'prismatic': + return kdl.Joint(jnt.name, origin_frame.p, + origin_frame.M * axis, kdl.Joint.TransAxis) + print("Unknown joint type: %s." % jnt.joint_type) + return kdl.Joint(jnt.name) + + +def urdf_inertial_to_kdl_rbi(i): + origin = urdf_pose_to_kdl_frame(i.origin) + rbi = kdl.RigidBodyInertia(i.mass, origin.p, + kdl.RotationalInertia(i.inertia.ixx, + i.inertia.iyy, + i.inertia.izz, + i.inertia.ixy, + i.inertia.ixz, + i.inertia.iyz)) + return origin.M * rbi + + +def kdl_tree_from_urdf_model(urdf): + root = urdf.get_root() + tree = kdl.Tree(root) + + def add_children_to_tree(parent): + if parent in urdf.child_map: + for joint, child_name in urdf.child_map[parent]: + child = urdf.link_map[child_name] + if child.inertial is not None: + kdl_inert = urdf_inertial_to_kdl_rbi(child.inertial) + else: + kdl_inert = kdl.RigidBodyInertia() + kdl_jnt = urdf_joint_to_kdl_joint(urdf.joint_map[joint]) + kdl_origin = urdf_pose_to_kdl_frame(urdf.joint_map[joint].origin) + kdl_sgm = kdl.Segment(child_name, kdl_jnt, + kdl_origin, kdl_inert) + tree.addSegment(kdl_sgm, parent) + add_children_to_tree(child_name) + + add_children_to_tree(root) + return tree diff --git a/roboimi/utils/KDL_utils/KDL_utils.py b/roboimi/utils/KDL_utils/KDL_utils.py new file mode 100644 index 0000000..a36a8e7 --- /dev/null +++ b/roboimi/utils/KDL_utils/KDL_utils.py @@ -0,0 +1,473 @@ +import os +import numpy as np +import PyKDL as kdl +from urdf_parser_py.urdf import URDF +from roboimi.utils.KDL_utils import KDL_main +from roboimi.utils.KDL_utils.Update_Jaco3 import Update_Jaco as J_quat + + +class KDL_utils: + + def __init__(self, + urdf_path=os.path.join(os.path.dirname(__file__), "../images/DianaMed/urdf/DianaMed.urdf")): + # Build kdl chain + urdf = URDF.from_xml_file(urdf_path) + self.tree = KDL_main.kdl_tree_from_urdf_model(urdf) + self.env_grav = kdl.Vector(0.0, 0.0, -9.81) # default + self.ee_frame = kdl.Frame() + self.rot_general = kdl.Rotation() + + + def resetChain(self, base, end): + self.chain = self.tree.getChain(base, end) # default for DianaMed + + # Initialize solvers + self.ik_solver = kdl.ChainIkSolverPos_LMA(self.chain, eps=0.0, maxiter=200, eps_joints=0.0) + self.fk_solver = kdl.ChainFkSolverPos_recursive(self.chain) + self.fk_solvervel = kdl.ChainFkSolverVel_recursive(self.chain) + self.jac_solver = kdl.ChainJntToJacSolver(self.chain) + self.jacdot_solver = kdl.ChainJntToJacDotSolver(self.chain) + self.diff_ik_solver = kdl.ChainIkSolverVel_pinv(self.chain, eps=0.00001, maxiter=200) + + # Params + self.NbOfJnt = self.chain.getNrOfJoints() + self._dyn_kdl = kdl.ChainDynParam(self.chain, self.env_grav) + self.mass_kdl = kdl.JntSpaceInertiaMatrix(self.NbOfJnt) + self.corio_kdl = kdl.JntArray(self.NbOfJnt) + self.grav_kdl = kdl.JntArray(self.NbOfJnt) + self.ee_frame = kdl.Frame() + + + def setJntArray(self, q): + q_kdl = kdl.JntArray(self.NbOfJnt) + for i in range(len(q)): + q_kdl[i] = q[i] + return q_kdl + + def setJntArrayVel(self, q, qdot): + q_kdl = kdl.JntArray(self.NbOfJnt) + qdot_kdl = kdl.JntArray(self.NbOfJnt) + for i in range(len(q)): + # for i in range(7): + q_kdl[i] = q[i] + qdot_kdl[i] = qdot[i] + return kdl.JntArrayVel(q_kdl,qdot_kdl) + + def setNumpyMat(self, mat): + if isinstance(mat, kdl.Rotation): + m = np.zeros((3, 3)) + else: + m = np.zeros((mat.rows(), mat.columns())) + # m = np.zeros((7, 7)) + for i in range(m.shape[0]): + for j in range(m.shape[1]): + m[i, j] = mat[i, j] + return m + + def setRot(self,mat : np.ndarray): + if len(mat) == 9: + rot = kdl.Rotation() + for i in range(3): + for j in range(3): + rot[i,j] = mat[i*3+j] + return rot + else: + raise AttributeError("need numpy array size = 9 !") + + def setVec(self,array : np.ndarray): + if len(array) == 3: + vec = kdl.Vector() + for i in range(3): + vec[i] = array[i] + return vec + else: + print("len input=",len(array)) + raise AttributeError("need numpy array size = 3 !") + + def setNumpyArray(self, q): + return np.asarray([q[i] for i in range(q.rows())], dtype=np.float32) + + def getInertiaMat(self, q): + _q = self.setJntArray(q) + self._dyn_kdl.JntToMass(_q, self.mass_kdl) + return self.setNumpyMat(self.mass_kdl) + + def getCoriolisMat(self, q, qdot): + _q = self.setJntArray(q) + _qdot = self.setJntArray(qdot) + self._dyn_kdl.JntToCoriolis(_q, _qdot, self.corio_kdl) + return self.corio_kdl + + def getGravityMat(self, q): + _q = self.setJntArray(q) + self._dyn_kdl.JntToGravity(_q, self.grav_kdl) + return self.grav_kdl + + def getCompensation(self, q, qdot): + comp = np.zeros(7) + self._dyn_kdl.JntToCoriolis(q, qdot, self.corio_kdl) + self._dyn_kdl.JntToGravity(q, self.grav_kdl) + for i in range(self.NbOfJnt): + comp[i] = self.corio_kdl[i] + self.grav_kdl[i] + return comp + + def getJac(self, q=kdl.JntArray()): + j_ = kdl.Jacobian(self.NbOfJnt) + self.jac_solver.JntToJac(q, j_) + return j_ + + def getJac_pinv(self, q=kdl.JntArray()): + j_ = self.getJac(q) + print("shape==",j_.shape) + jacobian = np.empty((6, 7)) + for row in range(6): + for col in range(7): + jacobian[row][col] = j_.getColumn(col)[row] + jacobian_pinv = np.linalg.pinv(jacobian) + return jacobian_pinv + + def getJacQuaternion(self, q): + return J_quat(q) # output's type is numpyArray + + def getEEtf(self, joint_states): + joint_states = self.setJntArray(joint_states) + ee_frame = kdl.Frame() + self.fk_solver.JntToCart(joint_states, ee_frame, self.NbOfJnt) + return ee_frame + + def getEeCurrentPose(self, q): + """ Get current pose with input's joint state. + + :param q: Current joint states + :return: Current position and rotation + """ + self.fk_solver.JntToCart(self.setJntArray(q), self.ee_frame, self.NbOfJnt) + pos = np.array([self.ee_frame.p[i] for i in range(3)]) + rot = np.zeros((3, 3)) + for i in range(3): + for j in range(3): + rot[i][j] = self.ee_frame.M[i, j] + return pos, rot + + def fkSolverVel(self, qdot_init : kdl.JntArrayVel=None): + if qdot_init is None: + raise NotImplementedError + cart = kdl.FrameVel().Identity() + self.fk_solvervel.JntToCart(qdot_init,cart) + return cart.deriv() + + def JntArray(self,dof): + return kdl.JntArray(dof) + + + def ikSolver(self, pos: np.ndarray, rot: np.ndarray, q_init: np.ndarray = None) -> np.ndarray: + if q_init is None: + raise NotImplementedError + else: + q_init = self.setJntArray(q_init) + + for i in range(3): + self.ee_frame.p[i] = pos[i] + for j in range(3): + self.ee_frame.M[i, j] = rot[i][j] + q_result = kdl.JntArray(7) + self.ik_solver.CartToJnt(q_init, self.ee_frame, q_result) + return self.setNumpyArray(q_result) + + def diffikSolver(self, q_init : np.ndarray, v_init : np.ndarray): + if (q_init is None) or (v_init is None): + raise NotImplementedError + else: + q_init = self.setJntArray(q_init) + v_init = kdl.Twist(self.setVec(v_init[:3]),self.setVec(v_init[3:])) + qdot_result = kdl.JntArray(7) + self.diff_ik_solver.CartToJnt(q_init,v_init,qdot_result) + return self.setNumpyArray(qdot_result) + + + def jacobian_dot(self, q: np.ndarray, v: np.ndarray) -> np.ndarray: + """ + + Args: + q (np.ndarray): current joint position + v (np.ndarray): current joint velocity + + Returns: + np.ndarray: jacobian_dot + """ + input_q = self.setJntArray(q) + input_qd = self.setJntArray(v) + input_qav = kdl.JntArrayVel(input_q, input_qd) + output = kdl.Jacobian(self.NbOfJnt) + self.jacdot_solver.JntToJacDot(input_qav, output) + return self.setNumpyMat(output) + + def orientation_error(self, desired: np.ndarray, current: np.ndarray) -> np.ndarray: + """computer ori error from ori to cartesian 姿态矩阵的偏差3*3的 + Args: + desired (np.ndarray): desired orientation + current (np.ndarray): current orientation + + Returns: + _type_: orientation error(from pose(3*3) to eulor angular(3*1)) + """ + rc1 = current[:, 0] + rc2 = current[:, 1] + rc3 = current[:, 2] + rd1 = desired[:, 0] + rd2 = desired[:, 1] + rd3 = desired[:, 2] + if (np.cross(rc1, rd1) + np.cross(rc2, rd2) + np.cross(rc3, rd3)).all() <= 0.0001: + w1, w2, w3 = 0.5, 0.5, 0.5 + else: + w1, w2, w3 = 0.9, 0.5, 0.3 + + error = w1 * np.cross(rc1, rd1) + w2 * np.cross(rc2, rd2) + w3 * np.cross(rc3, rd3) + + return error + + def xmat2Rotation(self,xmat : np.ndarray): + ''' + Args: + xmat (type: np.ndarray): the rotation matrix got from mujoco + Returns: + rot (KDL Rotation()): which get the value from xmat(3*3) + ''' + if len(xmat) == 9 : + rot = kdl.Rotation() + rot[0,0] = xmat[0] + rot[1,0] = xmat[1] + rot[2,0] = xmat[2] + rot[0,1] = xmat[3] + rot[1,1] = xmat[4] + rot[2,1] = xmat[5] + rot[2,0] = xmat[6] + rot[2,1] = xmat[7] + rot[2,2] = xmat[8] + return rot + else: + print("please entry xmat from mujoco") + return 0 + + def xpos2Vector(self,xpos : np.ndarray): + pos_vec = kdl.Vector() + for i in range(len(xpos)): + pos_vec[i] = xpos[i] + return pos_vec + + def jac_mj2Jac_KDL(self): + pass + + +class KDL_utils_X02: + + def __init__(self, + urdf_path=os.path.join(os.path.dirname(__file__), + "../images/DianaMed/urdf/DianaMed.urdf")): + # Build kdl chain + urdf = URDF.from_xml_file(urdf_path) + self.tree = KDL_main.kdl_tree_from_urdf_model(urdf) + self.chain = self.tree.getChain("base_link", "L_wrist3_Link") # default for DianaMed + + # Initialize solvers + self.ik_solver = kdl.ChainIkSolverPos_LMA(self.chain, eps=0.0, maxiter=200, eps_joints=0.0) + self.fk_solver = kdl.ChainFkSolverPos_recursive(self.chain) + self.jac_solver = kdl.ChainJntToJacSolver(self.chain) + self.jacdot_solver = kdl.ChainJntToJacDotSolver(self.chain) + + # Params + self.NbOfJnt = self.chain.getNrOfJoints() + self.env_grav = kdl.Vector(0.0, 0.0, -9.81) # default + self._dyn_kdl = kdl.ChainDynParam(self.chain, self.env_grav) + self.mass_kdl = kdl.JntSpaceInertiaMatrix(self.NbOfJnt) + self.corio_kdl = kdl.JntArray(self.NbOfJnt) + self.grav_kdl = kdl.JntArray(self.NbOfJnt) + self.ee_frame = kdl.Frame() + self.rot_general = kdl.Rotation() + + + def resetChain(self, base, end): + self.chain = self.tree.getChain(base, end) # default for DianaMed + + # Initialize solvers + self.ik_solver = kdl.ChainIkSolverPos_LMA(self.chain, eps=0.0, maxiter=200, eps_joints=0.0) + self.fk_solver = kdl.ChainFkSolverPos_recursive(self.chain) + self.jac_solver = kdl.ChainJntToJacSolver(self.chain) + self.jacdot_solver = kdl.ChainJntToJacDotSolver(self.chain) + + # Params + self.NbOfJnt = self.chain.getNrOfJoints() + self.env_grav = kdl.Vector(0.0, 0.0, -9.81) # default + self._dyn_kdl = kdl.ChainDynParam(self.chain, self.env_grav) + self.mass_kdl = kdl.JntSpaceInertiaMatrix(self.NbOfJnt) + self.corio_kdl = kdl.JntArray(self.NbOfJnt) + self.grav_kdl = kdl.JntArray(self.NbOfJnt) + self.ee_frame = kdl.Frame() + + + def setJntArray(self, q): + q_kdl = kdl.JntArray(self.NbOfJnt) + for i in range(len(q)): + # for i in range(7): + q_kdl[i] = q[i] + return q_kdl + + def setNumpyMat(self, mat): + if isinstance(mat, kdl.Rotation): + m = np.zeros((3, 3)) + else: + m = np.zeros((mat.rows(), mat.columns())) + # m = np.zeros((7, 7)) + for i in range(m.shape[0]): + for j in range(m.shape[1]): + m[i, j] = mat[i, j] + return m + + def setNumpyArray(self, q): + return np.asarray([q[i] for i in range(q.rows())], dtype=np.float32) + + def getInertiaMat(self, q): + _q = self.setJntArray(q) + self._dyn_kdl.JntToMass(_q, self.mass_kdl) + return self.setNumpyMat(self.mass_kdl) + + def getCoriolisMat(self, q, qdot): + _q = self.setJntArray(q) + _qdot = self.setJntArray(qdot) + self._dyn_kdl.JntToCoriolis(_q, _qdot, self.corio_kdl) + return self.corio_kdl + + def getGravityMat(self, q): + _q = self.setJntArray(q) + self._dyn_kdl.JntToGravity(_q, self.grav_kdl) + return self.grav_kdl + + def getCompensation(self, q, qdot): + comp = np.zeros(7) + self._dyn_kdl.JntToCoriolis(q, qdot, self.corio_kdl) + self._dyn_kdl.JntToGravity(q, self.grav_kdl) + for i in range(self.NbOfJnt): + comp[i] = self.corio_kdl[i] + self.grav_kdl[i] + return comp + + def getJac(self, q=kdl.JntArray()): + j_ = kdl.Jacobian(self.NbOfJnt) + self.jac_solver.JntToJac(q, j_) + return j_ + + def getJac_pinv(self, q=kdl.JntArray()): + j_ = self.getJac(q) + jacobian = np.empty((6, 7)) + for row in range(6): + for col in range(7): + jacobian[row][col] = j_.getColumn(col)[row] + jacobian_pinv = np.linalg.pinv(jacobian) + return jacobian_pinv + + def getJacQuaternion(self, q): + return J_quat(q) # output's type is numpyArray + + def getEEtf(self, joint_states): + ee_frame = kdl.Frame() + self.fk_solver.JntToCart(joint_states, ee_frame, self.NbOfJnt) + return ee_frame + + def getEeCurrentPose(self, q): + """ Get current pose with input's joint state. + + :param q: Current joint states + :return: Current position and rotation + """ + self.fk_solver.JntToCart(self.setJntArray(q), self.ee_frame, self.NbOfJnt) + pos = np.array([self.ee_frame.p[i] for i in range(3)]) + rot = np.zeros((3, 3)) + for i in range(3): + for j in range(3): + rot[i][j] = self.ee_frame.M[i, j] + return pos, rot + + def ikSolver(self, pos: np.ndarray, rot: np.ndarray, q_init: np.ndarray = None) -> np.ndarray: + if q_init is None: + raise NotImplementedError + q_init = self.setJntArray(q_init) + + for i in range(3): + self.ee_frame.p[i] = pos[i] + for j in range(3): + self.ee_frame.M[i, j] = rot[i][j] + q_result = kdl.JntArray(7) + self.ik_solver.CartToJnt(q_init, self.ee_frame, q_result) + return self.setNumpyArray(q_result) + + def jacobian_dot(self, q: np.ndarray, v: np.ndarray) -> np.ndarray: + """ + + Args: + q (np.ndarray): current joint position + v (np.ndarray): current joint velocity + + Returns: + np.ndarray: jacobian_dot + """ + input_q = self.setJntArray(q) + input_qd = self.setJntArray(v) + input_qav = kdl.JntArrayVel(input_q, input_qd) + output = kdl.Jacobian(self.NbOfJnt) + self.jacdot_solver.JntToJacDot(input_qav, output) + return self.setNumpyMat(output) + + def orientation_error(self, desired: np.ndarray, current: np.ndarray) -> np.ndarray: + """computer ori error from ori to cartesian 姿态矩阵的偏差3*3的 + Args: + desired (np.ndarray): desired orientation + current (np.ndarray): current orientation + + Returns: + _type_: orientation error(from pose(3*3) to eulor angular(3*1)) + """ + rc1 = current[:, 0] + rc2 = current[:, 1] + rc3 = current[:, 2] + rd1 = desired[:, 0] + rd2 = desired[:, 1] + rd3 = desired[:, 2] + if (np.cross(rc1, rd1) + np.cross(rc2, rd2) + np.cross(rc3, rd3)).all() <= 0.0001: + w1, w2, w3 = 0.5, 0.5, 0.5 + else: + w1, w2, w3 = 0.9, 0.5, 0.3 + + error = w1 * np.cross(rc1, rd1) + w2 * np.cross(rc2, rd2) + w3 * np.cross(rc3, rd3) + + return error + + def xmat2Rotation(self,xmat : np.ndarray): + ''' + Args: + xmat (type: np.ndarray): the rotation matrix got from mujoco + Returns: + rot (KDL Rotation()): which get the value from xmat(3*3) + ''' + if len(xmat) == 9 : + rot = kdl.Rotation() + rot[0,0] = xmat[0] + rot[1,0] = xmat[1] + rot[2,0] = xmat[2] + rot[0,1] = xmat[3] + rot[1,1] = xmat[4] + rot[2,1] = xmat[5] + rot[2,0] = xmat[6] + rot[2,1] = xmat[7] + rot[2,2] = xmat[8] + return rot + else: + print("please entry xmat from mujoco") + return 0 + + def xpos2Vector(self,xpos : np.ndarray): + pos_vec = kdl.Vector() + for i in range(len(xpos)): + pos_vec[i] = xpos[i] + return pos_vec + + def jac_mj2Jac_KDL(self): + pass \ No newline at end of file diff --git a/roboimi/utils/KDL_utils/Update_Jaco3.py b/roboimi/utils/KDL_utils/Update_Jaco3.py new file mode 100644 index 0000000..4c25fb6 --- /dev/null +++ b/roboimi/utils/KDL_utils/Update_Jaco3.py @@ -0,0 +1,1464 @@ +import numpy as np +from math import * + + +def isosqrt(var): + if var < 1e-8: + return 0 + else: + return var + + +def isolate(var): + if var < 1e-8: + return 1e-8 + else: + return var + + +def Update_Jaco(th): + th1 = th[0] + th2 = th[1] + th3 = th[2] + th4 = th[3] + th5 = th[4] + th6 = th[5] + th7 = th[6] + + Jaco = np.array([ + [ + -0.1059 * (((-sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin(th1) * sin( + th2) * sin(th4)) * cos(th5) + (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos(th1) * cos(th3)) * sin( + th5)) * sin(th6) - 0.076728 * (((-sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos( + th4) - 1.0 * sin(th1) * sin(th2) * sin(th4)) * cos(th5) + ( + 1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos(th1) * cos( + th3)) * sin(th5)) * cos(th6) - 0.076728 * ( + 1.0 * (-sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin(th4) + 1.0 * sin( + th1) * sin(th2) * cos(th4)) * sin(th6) + 0.1059 * ( + 1.0 * (-sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin(th4) + 1.0 * sin( + th1) * sin(th2) * cos(th4)) * cos(th6) - 0.005 * ( + (-sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin(th1) * sin( + th2) * sin(th4)) * sin(th5) + 0.005 * ( + 1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos(th1) * cos(th3)) * cos(th5) + 0.45669 * ( + -sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin(th4) - 0.052254 * ( + -sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) + 0.052254 * sin( + th1) * sin(th2) * sin(th4) + 0.45669 * sin(th1) * sin(th2) * cos(th4) + 0.45889 * sin(th1) * sin( + th2) - 0.064454 * sin(th1) * cos(th2) * cos(th3) + 0.064454 * sin(th3) * cos(th1) + 0.0005 * cos(th1) + , + -0.1059 * ((-sin(th2) * cos(th1) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th1) * cos(th2)) * cos( + th5) + 1.0 * sin(th2) * sin(th3) * sin(th5) * cos(th1)) * sin(th6) - 0.076728 * ( + (-sin(th2) * cos(th1) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th1) * cos(th2)) * cos( + th5) + 1.0 * sin(th2) * sin(th3) * sin(th5) * cos(th1)) * cos(th6) - 0.076728 * ( + -1.0 * sin(th2) * sin(th4) * cos(th1) * cos(th3) - 1.0 * cos(th1) * cos(th2) * cos(th4)) * sin( + th6) + 0.1059 * ( + -1.0 * sin(th2) * sin(th4) * cos(th1) * cos(th3) - 1.0 * cos(th1) * cos(th2) * cos(th4)) * cos( + th6) - 0.005 * ( + -sin(th2) * cos(th1) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th1) * cos(th2)) * sin( + th5) + 0.005 * sin(th2) * sin(th3) * cos(th1) * cos(th5) - 0.45669 * sin(th2) * sin(th4) * cos( + th1) * cos(th3) + 0.052254 * sin(th2) * cos(th1) * cos(th3) * cos(th4) - 0.064454 * sin(th2) * cos( + th1) * cos(th3) - 0.052254 * sin(th4) * cos(th1) * cos(th2) - 0.45669 * cos(th1) * cos(th2) * cos( + th4) - 0.45889 * cos(th1) * cos(th2) + , + -0.1059 * ((-1.0 * sin(th1) * sin(th3) - 1.0 * cos(th1) * cos(th2) * cos(th3)) * sin(th5) + ( + 1.0 * sin(th1) * cos(th3) - sin(th3) * cos(th1) * cos(th2)) * cos(th4) * cos(th5)) * sin( + th6) - 0.076728 * ((-1.0 * sin(th1) * sin(th3) - 1.0 * cos(th1) * cos(th2) * cos(th3)) * sin(th5) + ( + 1.0 * sin(th1) * cos(th3) - sin(th3) * cos(th1) * cos(th2)) * cos(th4) * cos(th5)) * cos( + th6) + 0.005 * (-1.0 * sin(th1) * sin(th3) - 1.0 * cos(th1) * cos(th2) * cos(th3)) * cos( + th5) - 0.076728 * (1.0 * sin(th1) * cos(th3) - sin(th3) * cos(th1) * cos(th2)) * sin(th4) * sin( + th6) + 0.1059 * (1.0 * sin(th1) * cos(th3) - sin(th3) * cos(th1) * cos(th2)) * sin(th4) * cos( + th6) + 0.45669 * (1.0 * sin(th1) * cos(th3) - sin(th3) * cos(th1) * cos(th2)) * sin(th4) - 0.005 * ( + 1.0 * sin(th1) * cos(th3) - sin(th3) * cos(th1) * cos(th2)) * sin(th5) * cos(th4) - 0.052254 * ( + 1.0 * sin(th1) * cos(th3) - sin(th3) * cos(th1) * cos(th2)) * cos(th4) + 0.064454 * sin( + th1) * cos(th3) - 0.064454 * sin(th3) * cos(th1) * cos(th2) + , + -0.005 * (-(1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * sin(th4) + 1.0 * sin(th2) * cos( + th1) * cos(th4)) * sin(th5) - 0.1059 * ( + -(1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * sin(th4) + 1.0 * sin(th2) * cos( + th1) * cos(th4)) * sin(th6) * cos(th5) - 0.076728 * ( + -(1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * sin(th4) + 1.0 * sin(th2) * cos( + th1) * cos(th4)) * cos(th5) * cos(th6) - 0.076728 * ( + 1.0 * (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin( + th2) * sin(th4) * cos(th1)) * sin(th6) + 0.1059 * ( + 1.0 * (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin( + th2) * sin(th4) * cos(th1)) * cos(th6) + 0.052254 * ( + 1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * sin(th4) + 0.45669 * ( + 1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 0.45669 * sin( + th2) * sin(th4) * cos(th1) - 0.052254 * sin(th2) * cos(th1) * cos(th4) + , + -0.1059 * (-((1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin(th2) * sin( + th4) * cos(th1)) * sin(th5) + (1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos(th2)) * cos( + th5)) * sin(th6) - 0.076728 * (-( + (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin(th2) * sin( + th4) * cos(th1)) * sin(th5) + (1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos( + th2)) * cos(th5)) * cos(th6) - 0.005 * ( + (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin(th2) * sin( + th4) * cos(th1)) * cos(th5) - 0.005 * ( + 1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos(th2)) * sin(th5) + , + 0.076728 * (((1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin(th2) * sin( + th4) * cos(th1)) * cos(th5) + (1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos(th2)) * sin( + th5)) * sin(th6) - 0.1059 * (((1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos( + th4) + 1.0 * sin(th2) * sin(th4) * cos(th1)) * cos(th5) + ( + 1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos( + th2)) * sin(th5)) * cos(th6) - 0.1059 * ( + 1.0 * (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * sin(th4) - 1.0 * sin( + th2) * cos(th1) * cos(th4)) * sin(th6) - 0.076728 * ( + 1.0 * (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * sin(th4) - 1.0 * sin( + th2) * cos(th1) * cos(th4)) * cos(th6) + , + 0 + ], + [ + -0.1059 * (((-1.0 * sin(th1) * sin(th3) - 1.0 * cos(th1) * cos(th2) * cos(th3)) * cos(th4) - 1.0 * sin( + th2) * sin(th4) * cos(th1)) * cos(th5) + ( + -1.0 * sin(th1) * cos(th3) + 1.0 * sin(th3) * cos(th1) * cos(th2)) * sin(th5)) * sin( + th6) - 0.076728 * (((-1.0 * sin(th1) * sin(th3) - 1.0 * cos(th1) * cos(th2) * cos(th3)) * cos( + th4) - 1.0 * sin(th2) * sin(th4) * cos(th1)) * cos(th5) + ( + -1.0 * sin(th1) * cos(th3) + 1.0 * sin(th3) * cos(th1) * cos(th2)) * sin( + th5)) * cos(th6) - 0.076728 * ( + 1.0 * (-1.0 * sin(th1) * sin(th3) - 1.0 * cos(th1) * cos(th2) * cos(th3)) * sin( + th4) + 1.0 * sin(th2) * cos(th1) * cos(th4)) * sin(th6) + 0.1059 * ( + 1.0 * (-1.0 * sin(th1) * sin(th3) - 1.0 * cos(th1) * cos(th2) * cos(th3)) * sin( + th4) + 1.0 * sin(th2) * cos(th1) * cos(th4)) * cos(th6) - 0.005 * ( + (-1.0 * sin(th1) * sin(th3) - 1.0 * cos(th1) * cos(th2) * cos(th3)) * cos(th4) - 1.0 * sin( + th2) * sin(th4) * cos(th1)) * sin(th5) + 0.45669 * ( + -1.0 * sin(th1) * sin(th3) - 1.0 * cos(th1) * cos(th2) * cos(th3)) * sin(th4) - 0.052254 * ( + -1.0 * sin(th1) * sin(th3) - 1.0 * cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 0.005 * ( + -1.0 * sin(th1) * cos(th3) + 1.0 * sin(th3) * cos(th1) * cos(th2)) * cos(th5) - 0.064454 * sin( + th1) * sin(th3) - 0.0005 * sin(th1) + 0.052254 * sin(th2) * sin(th4) * cos(th1) + 0.45669 * sin( + th2) * cos(th1) * cos(th4) + 0.45889 * sin(th2) * cos(th1) - 0.064454 * cos(th1) * cos(th2) * cos(th3) + , + -0.1059 * ((1.0 * sin(th1) * sin(th2) * cos(th3) * cos(th4) - 1.0 * sin(th1) * sin(th4) * cos(th2)) * cos( + th5) - 1.0 * sin(th1) * sin(th2) * sin(th3) * sin(th5)) * sin(th6) - 0.076728 * ( + (1.0 * sin(th1) * sin(th2) * cos(th3) * cos(th4) - 1.0 * sin(th1) * sin(th4) * cos(th2)) * cos( + th5) - 1.0 * sin(th1) * sin(th2) * sin(th3) * sin(th5)) * cos(th6) - 0.076728 * ( + 1.0 * sin(th1) * sin(th2) * sin(th4) * cos(th3) + 1.0 * sin(th1) * cos(th2) * cos(th4)) * sin( + th6) + 0.1059 * ( + 1.0 * sin(th1) * sin(th2) * sin(th4) * cos(th3) + 1.0 * sin(th1) * cos(th2) * cos(th4)) * cos( + th6) - 0.005 * ( + 1.0 * sin(th1) * sin(th2) * cos(th3) * cos(th4) - 1.0 * sin(th1) * sin(th4) * cos(th2)) * sin( + th5) - 0.005 * sin(th1) * sin(th2) * sin(th3) * cos(th5) + 0.45669 * sin(th1) * sin(th2) * sin( + th4) * cos(th3) - 0.052254 * sin(th1) * sin(th2) * cos(th3) * cos(th4) + 0.064454 * sin(th1) * sin( + th2) * cos(th3) + 0.052254 * sin(th1) * sin(th4) * cos(th2) + 0.45669 * sin(th1) * cos(th2) * cos( + th4) + 0.45889 * sin(th1) * cos(th2) + , + -0.1059 * ((1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos(th1) * cos(th3)) * cos(th4) * cos(th5) + ( + 1.0 * sin(th1) * cos(th2) * cos(th3) - 1.0 * sin(th3) * cos(th1)) * sin(th5)) * sin( + th6) - 0.076728 * ( + (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos(th1) * cos(th3)) * cos(th4) * cos(th5) + ( + 1.0 * sin(th1) * cos(th2) * cos(th3) - 1.0 * sin(th3) * cos(th1)) * sin(th5)) * cos( + th6) - 0.076728 * (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos(th1) * cos(th3)) * sin(th4) * sin( + th6) + 0.1059 * (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos(th1) * cos(th3)) * sin(th4) * cos( + th6) + 0.45669 * (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos(th1) * cos(th3)) * sin( + th4) - 0.005 * (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos(th1) * cos(th3)) * sin(th5) * cos( + th4) - 0.052254 * (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos(th1) * cos(th3)) * cos( + th4) + 0.005 * (1.0 * sin(th1) * cos(th2) * cos(th3) - 1.0 * sin(th3) * cos(th1)) * cos( + th5) + 0.064454 * sin(th1) * sin(th3) * cos(th2) + 0.064454 * cos(th1) * cos(th3) + , + -0.005 * (-(-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin(th4) - 1.0 * sin( + th1) * sin(th2) * cos(th4)) * sin(th5) - 0.1059 * ( + -(-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin(th4) - 1.0 * sin( + th1) * sin(th2) * cos(th4)) * sin(th6) * cos(th5) - 0.076728 * ( + -(-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin(th4) - 1.0 * sin( + th1) * sin(th2) * cos(th4)) * cos(th5) * cos(th6) - 0.076728 * ( + 1.0 * (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos( + th4) - 1.0 * sin(th1) * sin(th2) * sin(th4)) * sin(th6) + 0.1059 * ( + 1.0 * (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos( + th4) - 1.0 * sin(th1) * sin(th2) * sin(th4)) * cos(th6) + 0.052254 * ( + -1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin(th4) + 0.45669 * ( + -1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 0.45669 * sin( + th1) * sin(th2) * sin(th4) + 0.052254 * sin(th1) * sin(th2) * cos(th4) + , + -0.1059 * (-((-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin( + th1) * sin(th2) * sin(th4)) * sin(th5) + ( + 1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos(th1) * cos(th3)) * cos(th5)) * sin( + th6) - 0.076728 * (-( + (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin( + th1) * sin(th2) * sin(th4)) * sin(th5) + ( + 1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos(th1) * cos(th3)) * cos( + th5)) * cos(th6) - 0.005 * ( + (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin( + th1) * sin(th2) * sin(th4)) * cos(th5) - 0.005 * ( + 1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos(th1) * cos(th3)) * sin(th5) + , + 0.076728 * (((-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin( + th1) * sin(th2) * sin(th4)) * cos(th5) + ( + 1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos(th1) * cos(th3)) * sin(th5)) * sin( + th6) - 0.1059 * (((-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos( + th4) - 1.0 * sin(th1) * sin(th2) * sin(th4)) * cos(th5) + ( + 1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos(th1) * cos(th3)) * sin( + th5)) * cos(th6) - 0.1059 * ( + 1.0 * (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin( + th4) + 1.0 * sin(th1) * sin(th2) * cos(th4)) * sin(th6) - 0.076728 * ( + 1.0 * (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin( + th4) + 1.0 * sin(th1) * sin(th2) * cos(th4)) * cos(th6) + , + 0 + ], + [ + 0 + , + 0.1059 * (1.0 * (-1.0 * sin(th2) * sin(th4) - 1.0 * cos(th2) * cos(th3) * cos(th4)) * cos(th5) + 1.0 * sin( + th3) * sin(th5) * cos(th2)) * sin(th6) + 0.076728 * ( + 1.0 * (-1.0 * sin(th2) * sin(th4) - 1.0 * cos(th2) * cos(th3) * cos(th4)) * cos( + th5) + 1.0 * sin(th3) * sin(th5) * cos(th2)) * cos(th6) + 0.005 * ( + -1.0 * sin(th2) * sin(th4) - 1.0 * cos(th2) * cos(th3) * cos(th4)) * sin(th5) - 0.076728 * ( + -1.0 * sin(th2) * cos(th4) + 1.0 * sin(th4) * cos(th2) * cos(th3)) * sin(th6) + 0.1059 * ( + -1.0 * sin(th2) * cos(th4) + 1.0 * sin(th4) * cos(th2) * cos(th3)) * cos(th6) - 0.052254 * sin( + th2) * sin(th4) - 0.45669 * sin(th2) * cos(th4) - 0.45889 * sin(th2) - 0.005 * sin(th3) * cos( + th2) * cos(th5) + 0.45669 * sin(th4) * cos(th2) * cos(th3) - 0.052254 * cos(th2) * cos(th3) * cos( + th4) + 0.064454 * cos(th2) * cos(th3) + , + 0.1059 * (1.0 * sin(th2) * sin(th3) * cos(th4) * cos(th5) + 1.0 * sin(th2) * sin(th5) * cos(th3)) * sin( + th6) + 0.076728 * ( + 1.0 * sin(th2) * sin(th3) * cos(th4) * cos(th5) + 1.0 * sin(th2) * sin(th5) * cos(th3)) * cos( + th6) + 0.076728 * sin(th2) * sin(th3) * sin(th4) * sin(th6) - 0.1059 * sin(th2) * sin(th3) * sin( + th4) * cos(th6) - 0.45669 * sin(th2) * sin(th3) * sin(th4) + 0.005 * sin(th2) * sin(th3) * sin( + th5) * cos(th4) + 0.052254 * sin(th2) * sin(th3) * cos(th4) - 0.064454 * sin(th2) * sin( + th3) - 0.005 * sin(th2) * cos(th3) * cos(th5) + , + 0.005 * (1.0 * sin(th2) * sin(th4) * cos(th3) + 1.0 * cos(th2) * cos(th4)) * sin(th5) + 0.1059 * ( + 1.0 * sin(th2) * sin(th4) * cos(th3) + 1.0 * cos(th2) * cos(th4)) * sin(th6) * cos( + th5) + 0.076728 * (1.0 * sin(th2) * sin(th4) * cos(th3) + 1.0 * cos(th2) * cos(th4)) * cos(th5) * cos( + th6) - 0.076728 * (1.0 * sin(th2) * cos(th3) * cos(th4) - 1.0 * sin(th4) * cos(th2)) * sin( + th6) + 0.1059 * (1.0 * sin(th2) * cos(th3) * cos(th4) - 1.0 * sin(th4) * cos(th2)) * cos( + th6) + 0.052254 * sin(th2) * sin(th4) * cos(th3) + 0.45669 * sin(th2) * cos(th3) * cos( + th4) - 0.45669 * sin(th4) * cos(th2) + 0.052254 * cos(th2) * cos(th4) + , + 0.1059 * (-1.0 * (-1.0 * sin(th2) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th2)) * sin(th5) + 1.0 * sin( + th2) * sin(th3) * cos(th5)) * sin(th6) + 0.076728 * ( + -1.0 * (-1.0 * sin(th2) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th2)) * sin( + th5) + 1.0 * sin(th2) * sin(th3) * cos(th5)) * cos(th6) + 0.005 * ( + -1.0 * sin(th2) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th2)) * cos(th5) + 0.005 * sin( + th2) * sin(th3) * sin(th5) + , + -0.076728 * (1.0 * (-1.0 * sin(th2) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th2)) * cos( + th5) + 1.0 * sin(th2) * sin(th3) * sin(th5)) * sin(th6) + 0.1059 * ( + 1.0 * (-1.0 * sin(th2) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th2)) * cos( + th5) + 1.0 * sin(th2) * sin(th3) * sin(th5)) * cos(th6) - 0.1059 * ( + 1.0 * sin(th2) * sin(th4) * cos(th3) + 1.0 * cos(th2) * cos(th4)) * sin(th6) - 0.076728 * ( + 1.0 * sin(th2) * sin(th4) * cos(th3) + 1.0 * cos(th2) * cos(th4)) * cos(th6) + , + 0 + ], + [ + 0.5 * ((1.0 * (((-1.0 * sin(th1) * sin(th3) - 1.0 * cos(th1) * cos(th2) * cos(th3)) * cos(th4) - 1.0 * sin( + th2) * sin(th4) * cos(th1)) * cos(th5) + ( + -1.0 * sin(th1) * cos(th3) + 1.0 * sin(th3) * cos(th1) * cos(th2)) * sin( + th5)) * cos(th6) + 1.0 * ( + 1.0 * (-1.0 * sin(th1) * sin(th3) - 1.0 * cos(th1) * cos(th2) * cos(th3)) * sin( + th4) + 1.0 * sin(th2) * cos(th1) * cos(th4)) * sin(th6)) * sin(th7) / 2 - 0.5 * (1.0 * ((( + -sin( + th1) * cos( + th2) * cos( + th3) + 1.0 * sin( + th3) * cos( + th1)) * cos( + th4) - 1.0 * sin(th1) * sin(th2) * sin(th4)) * cos(th5) + (1.0 * sin(th1) * sin(th3) * cos( + th2) + 1.0 * cos(th1) * cos(th3)) * sin(th5)) * cos(th6) + 1.0 * (1.0 * ( + -sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin(th4) + 1.0 * sin(th1) * sin( + th2) * cos(th4)) * sin(th6)) * cos(th7) - 0.5 * (1.0 * ( + (-1.0 * sin(th1) * sin(th3) - 1.0 * cos(th1) * cos(th2) * cos(th3)) * cos(th4) - 1.0 * sin( + th2) * sin(th4) * cos(th1)) * sin(th5) - 1.0 * (-1.0 * sin(th1) * cos(th3) + 1.0 * sin(th3) * cos( + th1) * cos(th2)) * cos(th5)) * cos(th7) + (-1.0 * ( + (-sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin(th1) * sin( + th2) * sin(th4)) * sin(th5) + 1.0 * (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos(th1) * cos( + th3)) * cos(th5)) * sin(th7) / 2) / isolate(sqrt(isosqrt(-1.0 * (1.0 * (((1.0 * sin(th1) * sin( + th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin(th2) * sin(th4) * cos(th1)) * cos(th5) + ( + 1.0 * sin( + th1) * cos( + th3) - 1.0 * sin( + th3) * cos(th1) * cos( + th2)) * sin(th5)) * cos( + th6) + 1.0 * (1.0 * (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * sin(th4) - 1.0 * sin( + th2) * cos(th1) * cos(th4)) * sin(th6)) * cos(th7) + (1.0 * (((-1.0 * sin(th1) * cos(th2) * cos( + th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin(th1) * sin(th2) * sin(th4)) * cos(th5) + ( + 1.0 * sin(th1) * sin( + th3) * cos(th2) + 1.0 * cos( + th1) * cos(th3)) * sin(th5)) * cos( + th6) + 1.0 * (1.0 * (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin( + th4) + 1.0 * sin(th1) * sin(th2) * cos(th4)) * sin(th6)) * sin(th7) + (-1.0 * ( + (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin(th2) * sin( + th4) * cos(th1)) * sin(th5) + 1.0 * (1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos( + th2)) * cos(th5)) * sin(th7) - 1.0 * (1.0 * ( + (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin( + th1) * sin(th2) * sin(th4)) * sin(th5) - 1.0 * (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos( + th1) * cos(th3)) * cos(th5)) * cos(th7) - 1.0 * (1.0 * ( + -1.0 * sin(th2) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th2)) * cos(th5) + 1.0 * sin( + th2) * sin(th3) * sin(th5)) * sin(th6) - 1.0 * (1.0 * sin(th2) * sin(th4) * cos(th3) + 1.0 * cos( + th2) * cos(th4)) * cos(th6) + 1))) + , + 0.5 * ((1.0 * ( + (1.0 * sin(th1) * sin(th2) * cos(th3) * cos(th4) - 1.0 * sin(th1) * sin(th4) * cos(th2)) * cos( + th5) - 1.0 * sin(th1) * sin(th2) * sin(th3) * sin(th5)) * cos(th6) + 1.0 * ( + 1.0 * sin(th1) * sin(th2) * sin(th4) * cos(th3) + 1.0 * sin(th1) * cos(th2) * cos( + th4)) * sin(th6)) * sin(th7) / 2 - 0.5 * (1.0 * ( + (-sin(th2) * cos(th1) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th1) * cos(th2)) * cos( + th5) + 1.0 * sin(th2) * sin(th3) * sin(th5) * cos(th1)) * cos(th6) + 1.0 * ( + -1.0 * sin(th2) * sin(th4) * cos( + th1) * cos(th3) - 1.0 * cos(th1) * cos( + th2) * cos(th4)) * sin(th6)) * cos( + th7) - 0.5 * (1.0 * (-1.0 * sin(th2) * sin(th4) - 1.0 * cos(th2) * cos(th3) * cos(th4)) * cos( + th5) + 1.0 * sin(th3) * sin(th5) * cos(th2)) * sin(th6) - 0.5 * (1.0 * ( + 1.0 * sin(th1) * sin(th2) * cos(th3) * cos(th4) - 1.0 * sin(th1) * sin(th4) * cos(th2)) * sin( + th5) + 1.0 * sin(th1) * sin(th2) * sin(th3) * cos(th5)) * cos(th7) + (-1.0 * ( + -sin(th2) * cos(th1) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th1) * cos(th2)) * sin( + th5) + 1.0 * sin(th2) * sin(th3) * cos(th1) * cos(th5)) * sin(th7) / 2 - 0.5 * ( + -1.0 * sin(th2) * cos(th4) + 1.0 * sin(th4) * cos(th2) * cos(th3)) * cos(th6)) / isolate( + sqrt(isosqrt(-1.0 * (1.0 * (((1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos( + th4) + 1.0 * sin(th2) * sin(th4) * cos(th1)) * cos(th5) + ( + 1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos( + th2)) * sin(th5)) * cos(th6) + 1.0 * (1.0 * ( + 1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * sin(th4) - 1.0 * sin( + th2) * cos(th1) * cos(th4)) * sin(th6)) * cos(th7) + (1.0 * (((-1.0 * sin(th1) * cos(th2) * cos( + th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin(th1) * sin(th2) * sin(th4)) * cos(th5) + ( + 1.0 * sin(th1) * sin( + th3) * cos(th2) + 1.0 * cos( + th1) * cos(th3)) * sin( + th5)) * cos(th6) + 1.0 * (1.0 * ( + -1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin(th4) + 1.0 * sin( + th1) * sin(th2) * cos(th4)) * sin(th6)) * sin(th7) + (-1.0 * ( + (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin( + th2) * sin(th4) * cos(th1)) * sin(th5) + 1.0 * (1.0 * sin(th1) * cos(th3) - 1.0 * sin( + th3) * cos(th1) * cos(th2)) * cos(th5)) * sin(th7) - 1.0 * (1.0 * ( + (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin( + th1) * sin(th2) * sin(th4)) * sin(th5) - 1.0 * (1.0 * sin(th1) * sin(th3) * cos( + th2) + 1.0 * cos(th1) * cos(th3)) * cos(th5)) * cos(th7) - 1.0 * (1.0 * ( + -1.0 * sin(th2) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th2)) * cos(th5) + 1.0 * sin( + th2) * sin(th3) * sin(th5)) * sin(th6) - 1.0 * ( + 1.0 * sin(th2) * sin(th4) * cos(th3) + 1.0 * cos(th2) * cos(th4)) * cos( + th6) + 1))) + , + 0.5 * (-0.5 * (1.0 * ((-1.0 * sin(th1) * sin(th3) - 1.0 * cos(th1) * cos(th2) * cos(th3)) * sin(th5) + ( + 1.0 * sin(th1) * cos(th3) - sin(th3) * cos(th1) * cos(th2)) * cos(th4) * cos(th5)) * cos( + th6) + 1.0 * (1.0 * sin(th1) * cos(th3) - sin(th3) * cos(th1) * cos(th2)) * sin(th4) * sin(th6)) * cos( + th7) + (1.0 * (-1.0 * sin(th1) * sin(th3) - 1.0 * cos(th1) * cos(th2) * cos(th3)) * cos(th5) - 1.0 * ( + 1.0 * sin(th1) * cos(th3) - sin(th3) * cos(th1) * cos(th2)) * sin(th5) * cos(th4)) * sin( + th7) / 2 + (1.0 * ( + (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos(th1) * cos(th3)) * cos(th4) * cos(th5) + ( + 1.0 * sin(th1) * cos(th2) * cos(th3) - 1.0 * sin(th3) * cos(th1)) * sin(th5)) * cos( + th6) + 1.0 * (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos(th1) * cos(th3)) * sin(th4) * sin( + th6)) * sin(th7) / 2 - 0.5 * ( + 1.0 * (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos(th1) * cos(th3)) * sin( + th5) * cos(th4) - 1.0 * ( + 1.0 * sin(th1) * cos(th2) * cos(th3) - 1.0 * sin(th3) * cos(th1)) * cos( + th5)) * cos(th7) - 0.5 * ( + 1.0 * sin(th2) * sin(th3) * cos(th4) * cos(th5) + 1.0 * sin(th2) * sin(th5) * cos( + th3)) * sin(th6) + 0.5 * sin(th2) * sin(th3) * sin(th4) * cos(th6)) / isolate(sqrt(isosqrt( + -1.0 * (1.0 * (((1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin( + th2) * sin(th4) * cos(th1)) * cos(th5) + ( + 1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos(th2)) * sin( + th5)) * cos(th6) + 1.0 * (1.0 * (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * sin( + th4) - 1.0 * sin(th2) * cos(th1) * cos(th4)) * sin(th6)) * cos(th7) + (1.0 * (((-1.0 * sin( + th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin(th1) * sin( + th2) * sin(th4)) * cos(th5) + (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos(th1) * cos( + th3)) * sin(th5)) * cos(th6) + 1.0 * (1.0 * ( + -1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin(th4) + 1.0 * sin( + th1) * sin(th2) * cos(th4)) * sin(th6)) * sin(th7) + (-1.0 * ( + (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin( + th2) * sin(th4) * cos(th1)) * sin(th5) + 1.0 * (1.0 * sin(th1) * cos(th3) - 1.0 * sin( + th3) * cos(th1) * cos(th2)) * cos(th5)) * sin(th7) - 1.0 * (1.0 * ( + (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin( + th1) * sin(th2) * sin(th4)) * sin(th5) - 1.0 * (1.0 * sin(th1) * sin(th3) * cos( + th2) + 1.0 * cos(th1) * cos(th3)) * cos(th5)) * cos(th7) - 1.0 * ( + 1.0 * (-1.0 * sin(th2) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th2)) * cos( + th5) + 1.0 * sin(th2) * sin(th3) * sin(th5)) * sin(th6) - 1.0 * ( + 1.0 * sin(th2) * sin(th4) * cos(th3) + 1.0 * cos(th2) * cos(th4)) * cos(th6) + 1))) + , + 0.5 * (-0.5 * ( + -(1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * sin(th4) + 1.0 * sin(th2) * cos( + th1) * cos(th4)) * sin(th5) * sin(th7) - 0.5 * ( + -(-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin( + th4) - 1.0 * sin(th1) * sin(th2) * cos(th4)) * sin(th5) * cos(th7) - 0.5 * (1.0 * ( + -(1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * sin(th4) + 1.0 * sin(th2) * cos( + th1) * cos(th4)) * cos(th5) * cos(th6) + 1.0 * (1.0 * ( + 1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin(th2) * sin( + th4) * cos(th1)) * sin(th6)) * cos(th7) + (1.0 * ( + -(-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin(th4) - 1.0 * sin( + th1) * sin(th2) * cos(th4)) * cos(th5) * cos(th6) + 1.0 * (1.0 * ( + -1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin( + th1) * sin(th2) * sin(th4)) * sin(th6)) * sin(th7) / 2 - 0.5 * ( + 1.0 * sin(th2) * sin(th4) * cos(th3) + 1.0 * cos(th2) * cos(th4)) * sin(th6) * cos( + th5) - 0.5 * (1.0 * sin(th2) * cos(th3) * cos(th4) - 1.0 * sin(th4) * cos(th2)) * cos(th6)) / isolate( + sqrt(isosqrt(-1.0 * (1.0 * (((1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos( + th4) + 1.0 * sin(th2) * sin(th4) * cos(th1)) * cos(th5) + ( + 1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos( + th2)) * sin(th5)) * cos(th6) + 1.0 * (1.0 * ( + 1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * sin(th4) - 1.0 * sin( + th2) * cos(th1) * cos(th4)) * sin(th6)) * cos(th7) + (1.0 * (((-1.0 * sin(th1) * cos(th2) * cos( + th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin(th1) * sin(th2) * sin(th4)) * cos(th5) + ( + 1.0 * sin(th1) * sin( + th3) * cos(th2) + 1.0 * cos( + th1) * cos(th3)) * sin( + th5)) * cos(th6) + 1.0 * (1.0 * ( + -1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin(th4) + 1.0 * sin( + th1) * sin(th2) * cos(th4)) * sin(th6)) * sin(th7) + (-1.0 * ( + (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin( + th2) * sin(th4) * cos(th1)) * sin(th5) + 1.0 * (1.0 * sin(th1) * cos(th3) - 1.0 * sin( + th3) * cos(th1) * cos(th2)) * cos(th5)) * sin(th7) - 1.0 * (1.0 * ( + (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin( + th1) * sin(th2) * sin(th4)) * sin(th5) - 1.0 * (1.0 * sin(th1) * sin(th3) * cos( + th2) + 1.0 * cos(th1) * cos(th3)) * cos(th5)) * cos(th7) - 1.0 * (1.0 * ( + -1.0 * sin(th2) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th2)) * cos(th5) + 1.0 * sin( + th2) * sin(th3) * sin(th5)) * sin(th6) - 1.0 * ( + 1.0 * sin(th2) * sin(th4) * cos(th3) + 1.0 * cos(th2) * cos(th4)) * cos( + th6) + 1))) + , + 0.5 * (-0.5 * (-( + (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin(th2) * sin( + th4) * cos(th1)) * sin(th5) + ( + 1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos(th2)) * cos( + th5)) * cos(th6) * cos(th7) + (-1.0 * ( + (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin(th2) * sin( + th4) * cos(th1)) * cos(th5) - 1.0 * (1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos( + th2)) * sin(th5)) * sin(th7) / 2 + 0.5 * (-( + (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin( + th1) * sin(th2) * sin(th4)) * sin(th5) + (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos( + th1) * cos(th3)) * cos(th5)) * sin(th7) * cos(th6) - 0.5 * (1.0 * ( + (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin( + th1) * sin(th2) * sin(th4)) * cos(th5) + 1.0 * (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos( + th1) * cos(th3)) * sin(th5)) * cos(th7) - 0.5 * ( + -1.0 * (-1.0 * sin(th2) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th2)) * sin( + th5) + 1.0 * sin(th2) * sin(th3) * cos(th5)) * sin(th6)) / isolate(sqrt(isosqrt(-1.0 * ( + 1.0 * (((1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin( + th2) * sin(th4) * cos(th1)) * cos(th5) + ( + 1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos(th2)) * sin( + th5)) * cos(th6) + 1.0 * (1.0 * (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * sin( + th4) - 1.0 * sin(th2) * cos(th1) * cos(th4)) * sin(th6)) * cos(th7) + (1.0 * (((-1.0 * sin( + th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin(th1) * sin(th2) * sin( + th4)) * cos(th5) + (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos(th1) * cos(th3)) * sin(th5)) * cos( + th6) + 1.0 * (1.0 * (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin( + th4) + 1.0 * sin(th1) * sin(th2) * cos(th4)) * sin(th6)) * sin(th7) + (-1.0 * ( + (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin(th2) * sin( + th4) * cos(th1)) * sin(th5) + 1.0 * (1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos( + th2)) * cos(th5)) * sin(th7) - 1.0 * (1.0 * ( + (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin( + th1) * sin(th2) * sin(th4)) * sin(th5) - 1.0 * (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos( + th1) * cos(th3)) * cos(th5)) * cos(th7) - 1.0 * (1.0 * ( + -1.0 * sin(th2) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th2)) * cos(th5) + 1.0 * sin( + th2) * sin(th3) * sin(th5)) * sin(th6) - 1.0 * (1.0 * sin(th2) * sin(th4) * cos(th3) + 1.0 * cos( + th2) * cos(th4)) * cos(th6) + 1))) + , + 0.5 * (-0.5 * (-1.0 * (((1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin( + th2) * sin(th4) * cos(th1)) * cos(th5) + ( + 1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos(th2)) * sin( + th5)) * sin(th6) + 1.0 * (1.0 * (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * sin( + th4) - 1.0 * sin(th2) * cos(th1) * cos(th4)) * cos(th6)) * cos(th7) + (-1.0 * (((-1.0 * sin(th1) * cos( + th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin(th1) * sin(th2) * sin(th4)) * cos( + th5) + (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos(th1) * cos(th3)) * sin(th5)) * sin( + th6) + 1.0 * (1.0 * (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin( + th4) + 1.0 * sin(th1) * sin(th2) * cos(th4)) * cos(th6)) * sin(th7) / 2 - 0.5 * ( + 1.0 * (-1.0 * sin(th2) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th2)) * cos( + th5) + 1.0 * sin(th2) * sin(th3) * sin(th5)) * cos(th6) + 0.5 * ( + 1.0 * sin(th2) * sin(th4) * cos(th3) + 1.0 * cos(th2) * cos(th4)) * sin(th6)) / isolate( + sqrt(isosqrt(-1.0 * (1.0 * (((1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos( + th4) + 1.0 * sin(th2) * sin(th4) * cos(th1)) * cos(th5) + ( + 1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos( + th2)) * sin(th5)) * cos(th6) + 1.0 * (1.0 * ( + 1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * sin(th4) - 1.0 * sin( + th2) * cos(th1) * cos(th4)) * sin(th6)) * cos(th7) + (1.0 * (((-1.0 * sin(th1) * cos(th2) * cos( + th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin(th1) * sin(th2) * sin(th4)) * cos(th5) + ( + 1.0 * sin(th1) * sin( + th3) * cos(th2) + 1.0 * cos( + th1) * cos(th3)) * sin( + th5)) * cos(th6) + 1.0 * (1.0 * ( + -1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin(th4) + 1.0 * sin( + th1) * sin(th2) * cos(th4)) * sin(th6)) * sin(th7) + (-1.0 * ( + (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin( + th2) * sin(th4) * cos(th1)) * sin(th5) + 1.0 * (1.0 * sin(th1) * cos(th3) - 1.0 * sin( + th3) * cos(th1) * cos(th2)) * cos(th5)) * sin(th7) - 1.0 * (1.0 * ( + (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin( + th1) * sin(th2) * sin(th4)) * sin(th5) - 1.0 * (1.0 * sin(th1) * sin(th3) * cos( + th2) + 1.0 * cos(th1) * cos(th3)) * cos(th5)) * cos(th7) - 1.0 * (1.0 * ( + -1.0 * sin(th2) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th2)) * cos(th5) + 1.0 * sin( + th2) * sin(th3) * sin(th5)) * sin(th6) - 1.0 * ( + 1.0 * sin(th2) * sin(th4) * cos(th3) + 1.0 * cos(th2) * cos(th4)) * cos( + th6) + 1))) + , + 0.5 * (0.5 * (1.0 * (((1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin( + th2) * sin(th4) * cos(th1)) * cos(th5) + ( + 1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos(th2)) * sin( + th5)) * cos(th6) + 1.0 * (1.0 * (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * sin( + th4) - 1.0 * sin(th2) * cos(th1) * cos(th4)) * sin(th6)) * sin(th7) + (1.0 * (((-1.0 * sin(th1) * cos( + th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin(th1) * sin(th2) * sin(th4)) * cos( + th5) + (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos(th1) * cos(th3)) * sin(th5)) * cos( + th6) + 1.0 * (1.0 * (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin( + th4) + 1.0 * sin(th1) * sin(th2) * cos(th4)) * sin(th6)) * cos(th7) / 2 + (-1.0 * ( + (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin(th2) * sin( + th4) * cos(th1)) * sin(th5) + 1.0 * (1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos( + th2)) * cos(th5)) * cos(th7) / 2 + 0.5 * (1.0 * ( + (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin( + th1) * sin(th2) * sin(th4)) * sin(th5) - 1.0 * (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos( + th1) * cos(th3)) * cos(th5)) * sin(th7)) / isolate(sqrt(isosqrt(-1.0 * (1.0 * (((1.0 * sin(th1) * sin( + th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin(th2) * sin(th4) * cos(th1)) * cos(th5) + ( + 1.0 * sin( + th1) * cos( + th3) - 1.0 * sin( + th3) * cos( + th1) * cos( + th2)) * sin( + th5)) * cos(th6) + 1.0 * (1.0 * (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * sin( + th4) - 1.0 * sin(th2) * cos(th1) * cos(th4)) * sin(th6)) * cos(th7) + (1.0 * (((-1.0 * sin(th1) * cos( + th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin(th1) * sin(th2) * sin(th4)) * cos( + th5) + (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos(th1) * cos(th3)) * sin(th5)) * cos( + th6) + 1.0 * (1.0 * (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin( + th4) + 1.0 * sin(th1) * sin(th2) * cos(th4)) * sin(th6)) * sin(th7) + (-1.0 * ( + (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin(th2) * sin( + th4) * cos(th1)) * sin(th5) + 1.0 * (1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos( + th2)) * cos(th5)) * sin(th7) - 1.0 * (1.0 * ( + (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin( + th1) * sin(th2) * sin(th4)) * sin(th5) - 1.0 * (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos( + th1) * cos(th3)) * cos(th5)) * cos(th7) - 1.0 * (1.0 * ( + -1.0 * sin(th2) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th2)) * cos(th5) + 1.0 * sin( + th2) * sin(th3) * sin(th5)) * sin(th6) - 1.0 * (1.0 * sin(th2) * sin(th4) * cos(th3) + 1.0 * cos( + th2) * cos(th4)) * cos(th6) + 1))) + ], + [ + 0.5 * (-(1.0 * (((-1.0 * sin(th1) * sin(th3) - 1.0 * cos(th1) * cos(th2) * cos(th3)) * cos(th4) - 1.0 * sin( + th2) * sin(th4) * cos(th1)) * cos(th5) + ( + -1.0 * sin(th1) * cos(th3) + 1.0 * sin(th3) * cos(th1) * cos(th2)) * sin( + th5)) * cos(th6) + 1.0 * ( + 1.0 * (-1.0 * sin(th1) * sin(th3) - 1.0 * cos(th1) * cos(th2) * cos(th3)) * sin( + th4) + 1.0 * sin(th2) * cos(th1) * cos(th4)) * sin(th6)) * sin(th7) / 2 - 0.5 * (1.0 * ((( + -sin( + th1) * cos( + th2) * cos( + th3) + 1.0 * sin( + th3) * cos( + th1)) * cos( + th4) - 1.0 * sin(th1) * sin(th2) * sin(th4)) * cos(th5) + (1.0 * sin(th1) * sin(th3) * cos( + th2) + 1.0 * cos(th1) * cos(th3)) * sin(th5)) * cos(th6) + 1.0 * (1.0 * ( + -sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin(th4) + 1.0 * sin(th1) * sin( + th2) * cos(th4)) * sin(th6)) * cos(th7) + 0.5 * (1.0 * ( + (-1.0 * sin(th1) * sin(th3) - 1.0 * cos(th1) * cos(th2) * cos(th3)) * cos(th4) - 1.0 * sin( + th2) * sin(th4) * cos(th1)) * sin(th5) - 1.0 * (-1.0 * sin(th1) * cos(th3) + 1.0 * sin(th3) * cos( + th1) * cos(th2)) * cos(th5)) * cos(th7) + (-1.0 * ( + (-sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin(th1) * sin( + th2) * sin(th4)) * sin(th5) + 1.0 * (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos(th1) * cos( + th3)) * cos(th5)) * sin(th7) / 2) / isolate(sqrt(isosqrt(-1.0 * (1.0 * (((1.0 * sin(th1) * sin( + th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin(th2) * sin(th4) * cos(th1)) * cos(th5) + ( + 1.0 * sin( + th1) * cos( + th3) - 1.0 * sin( + th3) * cos(th1) * cos( + th2)) * sin(th5)) * cos( + th6) + 1.0 * (1.0 * (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * sin(th4) - 1.0 * sin( + th2) * cos(th1) * cos(th4)) * sin(th6)) * cos(th7) - (1.0 * (((-1.0 * sin(th1) * cos(th2) * cos( + th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin(th1) * sin(th2) * sin(th4)) * cos(th5) + ( + 1.0 * sin(th1) * sin( + th3) * cos(th2) + 1.0 * cos( + th1) * cos(th3)) * sin(th5)) * cos( + th6) + 1.0 * (1.0 * (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin( + th4) + 1.0 * sin(th1) * sin(th2) * cos(th4)) * sin(th6)) * sin(th7) + (-1.0 * ( + (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin(th2) * sin( + th4) * cos(th1)) * sin(th5) + 1.0 * (1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos( + th2)) * cos(th5)) * sin(th7) + 1.0 * (1.0 * ( + (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin( + th1) * sin(th2) * sin(th4)) * sin(th5) - 1.0 * (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos( + th1) * cos(th3)) * cos(th5)) * cos(th7) + 1.0 * (1.0 * ( + -1.0 * sin(th2) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th2)) * cos(th5) + 1.0 * sin( + th2) * sin(th3) * sin(th5)) * sin(th6) + 1.0 * (1.0 * sin(th2) * sin(th4) * cos(th3) + 1.0 * cos( + th2) * cos(th4)) * cos(th6) + 1))) + , + 0.5 * (-(1.0 * ( + (1.0 * sin(th1) * sin(th2) * cos(th3) * cos(th4) - 1.0 * sin(th1) * sin(th4) * cos(th2)) * cos( + th5) - 1.0 * sin(th1) * sin(th2) * sin(th3) * sin(th5)) * cos(th6) + 1.0 * ( + 1.0 * sin(th1) * sin(th2) * sin(th4) * cos(th3) + 1.0 * sin(th1) * cos(th2) * cos( + th4)) * sin(th6)) * sin(th7) / 2 - 0.5 * (1.0 * ( + (-sin(th2) * cos(th1) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th1) * cos(th2)) * cos( + th5) + 1.0 * sin(th2) * sin(th3) * sin(th5) * cos(th1)) * cos(th6) + 1.0 * ( + -1.0 * sin(th2) * sin(th4) * cos( + th1) * cos(th3) - 1.0 * cos(th1) * cos( + th2) * cos(th4)) * sin(th6)) * cos( + th7) + 0.5 * (1.0 * (-1.0 * sin(th2) * sin(th4) - 1.0 * cos(th2) * cos(th3) * cos(th4)) * cos( + th5) + 1.0 * sin(th3) * sin(th5) * cos(th2)) * sin(th6) + 0.5 * (1.0 * ( + 1.0 * sin(th1) * sin(th2) * cos(th3) * cos(th4) - 1.0 * sin(th1) * sin(th4) * cos(th2)) * sin( + th5) + 1.0 * sin(th1) * sin(th2) * sin(th3) * cos(th5)) * cos(th7) + (-1.0 * ( + -sin(th2) * cos(th1) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th1) * cos(th2)) * sin( + th5) + 1.0 * sin(th2) * sin(th3) * cos(th1) * cos(th5)) * sin(th7) / 2 + 0.5 * ( + -1.0 * sin(th2) * cos(th4) + 1.0 * sin(th4) * cos(th2) * cos(th3)) * cos(th6)) / isolate( + sqrt(isosqrt(-1.0 * (1.0 * (((1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos( + th4) + 1.0 * sin(th2) * sin(th4) * cos(th1)) * cos(th5) + ( + 1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos( + th2)) * sin(th5)) * cos(th6) + 1.0 * (1.0 * ( + 1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * sin(th4) - 1.0 * sin( + th2) * cos(th1) * cos(th4)) * sin(th6)) * cos(th7) - (1.0 * (((-1.0 * sin(th1) * cos(th2) * cos( + th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin(th1) * sin(th2) * sin(th4)) * cos(th5) + ( + 1.0 * sin(th1) * sin( + th3) * cos(th2) + 1.0 * cos( + th1) * cos(th3)) * sin( + th5)) * cos(th6) + 1.0 * (1.0 * ( + -1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin(th4) + 1.0 * sin( + th1) * sin(th2) * cos(th4)) * sin(th6)) * sin(th7) + (-1.0 * ( + (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin( + th2) * sin(th4) * cos(th1)) * sin(th5) + 1.0 * (1.0 * sin(th1) * cos(th3) - 1.0 * sin( + th3) * cos(th1) * cos(th2)) * cos(th5)) * sin(th7) + 1.0 * (1.0 * ( + (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin( + th1) * sin(th2) * sin(th4)) * sin(th5) - 1.0 * (1.0 * sin(th1) * sin(th3) * cos( + th2) + 1.0 * cos(th1) * cos(th3)) * cos(th5)) * cos(th7) + 1.0 * (1.0 * ( + -1.0 * sin(th2) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th2)) * cos(th5) + 1.0 * sin( + th2) * sin(th3) * sin(th5)) * sin(th6) + 1.0 * ( + 1.0 * sin(th2) * sin(th4) * cos(th3) + 1.0 * cos(th2) * cos(th4)) * cos( + th6) + 1))) + , + 0.5 * (-0.5 * (1.0 * ((-1.0 * sin(th1) * sin(th3) - 1.0 * cos(th1) * cos(th2) * cos(th3)) * sin(th5) + ( + 1.0 * sin(th1) * cos(th3) - sin(th3) * cos(th1) * cos(th2)) * cos(th4) * cos(th5)) * cos( + th6) + 1.0 * (1.0 * sin(th1) * cos(th3) - sin(th3) * cos(th1) * cos(th2)) * sin(th4) * sin(th6)) * cos( + th7) + (1.0 * (-1.0 * sin(th1) * sin(th3) - 1.0 * cos(th1) * cos(th2) * cos(th3)) * cos(th5) - 1.0 * ( + 1.0 * sin(th1) * cos(th3) - sin(th3) * cos(th1) * cos(th2)) * sin(th5) * cos(th4)) * sin( + th7) / 2 - (1.0 * ( + (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos(th1) * cos(th3)) * cos(th4) * cos(th5) + ( + 1.0 * sin(th1) * cos(th2) * cos(th3) - 1.0 * sin(th3) * cos(th1)) * sin(th5)) * cos( + th6) + 1.0 * (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos(th1) * cos(th3)) * sin(th4) * sin( + th6)) * sin(th7) / 2 + 0.5 * ( + 1.0 * (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos(th1) * cos(th3)) * sin( + th5) * cos(th4) - 1.0 * ( + 1.0 * sin(th1) * cos(th2) * cos(th3) - 1.0 * sin(th3) * cos(th1)) * cos( + th5)) * cos(th7) + 0.5 * ( + 1.0 * sin(th2) * sin(th3) * cos(th4) * cos(th5) + 1.0 * sin(th2) * sin(th5) * cos( + th3)) * sin(th6) - 0.5 * sin(th2) * sin(th3) * sin(th4) * cos(th6)) / isolate(sqrt(isosqrt( + -1.0 * (1.0 * (((1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin( + th2) * sin(th4) * cos(th1)) * cos(th5) + ( + 1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos(th2)) * sin( + th5)) * cos(th6) + 1.0 * (1.0 * (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * sin( + th4) - 1.0 * sin(th2) * cos(th1) * cos(th4)) * sin(th6)) * cos(th7) - (1.0 * (((-1.0 * sin( + th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin(th1) * sin( + th2) * sin(th4)) * cos(th5) + (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos(th1) * cos( + th3)) * sin(th5)) * cos(th6) + 1.0 * (1.0 * ( + -1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin(th4) + 1.0 * sin( + th1) * sin(th2) * cos(th4)) * sin(th6)) * sin(th7) + (-1.0 * ( + (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin( + th2) * sin(th4) * cos(th1)) * sin(th5) + 1.0 * (1.0 * sin(th1) * cos(th3) - 1.0 * sin( + th3) * cos(th1) * cos(th2)) * cos(th5)) * sin(th7) + 1.0 * (1.0 * ( + (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin( + th1) * sin(th2) * sin(th4)) * sin(th5) - 1.0 * (1.0 * sin(th1) * sin(th3) * cos( + th2) + 1.0 * cos(th1) * cos(th3)) * cos(th5)) * cos(th7) + 1.0 * ( + 1.0 * (-1.0 * sin(th2) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th2)) * cos( + th5) + 1.0 * sin(th2) * sin(th3) * sin(th5)) * sin(th6) + 1.0 * ( + 1.0 * sin(th2) * sin(th4) * cos(th3) + 1.0 * cos(th2) * cos(th4)) * cos(th6) + 1))) + , + 0.5 * (-0.5 * ( + -(1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * sin(th4) + 1.0 * sin(th2) * cos( + th1) * cos(th4)) * sin(th5) * sin(th7) + 0.5 * ( + -(-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin( + th4) - 1.0 * sin(th1) * sin(th2) * cos(th4)) * sin(th5) * cos(th7) - 0.5 * (1.0 * ( + -(1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * sin(th4) + 1.0 * sin(th2) * cos( + th1) * cos(th4)) * cos(th5) * cos(th6) + 1.0 * (1.0 * ( + 1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin(th2) * sin( + th4) * cos(th1)) * sin(th6)) * cos(th7) - (1.0 * ( + -(-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin(th4) - 1.0 * sin( + th1) * sin(th2) * cos(th4)) * cos(th5) * cos(th6) + 1.0 * (1.0 * ( + -1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin( + th1) * sin(th2) * sin(th4)) * sin(th6)) * sin(th7) / 2 + 0.5 * ( + 1.0 * sin(th2) * sin(th4) * cos(th3) + 1.0 * cos(th2) * cos(th4)) * sin(th6) * cos( + th5) + 0.5 * (1.0 * sin(th2) * cos(th3) * cos(th4) - 1.0 * sin(th4) * cos(th2)) * cos(th6)) / isolate( + sqrt(isosqrt(-1.0 * (1.0 * (((1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos( + th4) + 1.0 * sin(th2) * sin(th4) * cos(th1)) * cos(th5) + ( + 1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos( + th2)) * sin(th5)) * cos(th6) + 1.0 * (1.0 * ( + 1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * sin(th4) - 1.0 * sin( + th2) * cos(th1) * cos(th4)) * sin(th6)) * cos(th7) - (1.0 * (((-1.0 * sin(th1) * cos(th2) * cos( + th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin(th1) * sin(th2) * sin(th4)) * cos(th5) + ( + 1.0 * sin(th1) * sin( + th3) * cos(th2) + 1.0 * cos( + th1) * cos(th3)) * sin( + th5)) * cos(th6) + 1.0 * (1.0 * ( + -1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin(th4) + 1.0 * sin( + th1) * sin(th2) * cos(th4)) * sin(th6)) * sin(th7) + (-1.0 * ( + (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin( + th2) * sin(th4) * cos(th1)) * sin(th5) + 1.0 * (1.0 * sin(th1) * cos(th3) - 1.0 * sin( + th3) * cos(th1) * cos(th2)) * cos(th5)) * sin(th7) + 1.0 * (1.0 * ( + (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin( + th1) * sin(th2) * sin(th4)) * sin(th5) - 1.0 * (1.0 * sin(th1) * sin(th3) * cos( + th2) + 1.0 * cos(th1) * cos(th3)) * cos(th5)) * cos(th7) + 1.0 * (1.0 * ( + -1.0 * sin(th2) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th2)) * cos(th5) + 1.0 * sin( + th2) * sin(th3) * sin(th5)) * sin(th6) + 1.0 * ( + 1.0 * sin(th2) * sin(th4) * cos(th3) + 1.0 * cos(th2) * cos(th4)) * cos( + th6) + 1))) + , + 0.5 * (-0.5 * (-( + (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin(th2) * sin( + th4) * cos(th1)) * sin(th5) + ( + 1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos(th2)) * cos( + th5)) * cos(th6) * cos(th7) + (-1.0 * ( + (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin(th2) * sin( + th4) * cos(th1)) * cos(th5) - 1.0 * (1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos( + th2)) * sin(th5)) * sin(th7) / 2 - 0.5 * (-( + (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin( + th1) * sin(th2) * sin(th4)) * sin(th5) + (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos( + th1) * cos(th3)) * cos(th5)) * sin(th7) * cos(th6) + 0.5 * (1.0 * ( + (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin( + th1) * sin(th2) * sin(th4)) * cos(th5) + 1.0 * (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos( + th1) * cos(th3)) * sin(th5)) * cos(th7) + 0.5 * ( + -1.0 * (-1.0 * sin(th2) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th2)) * sin( + th5) + 1.0 * sin(th2) * sin(th3) * cos(th5)) * sin(th6)) / isolate(sqrt(isosqrt(-1.0 * ( + 1.0 * (((1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin( + th2) * sin(th4) * cos(th1)) * cos(th5) + ( + 1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos(th2)) * sin( + th5)) * cos(th6) + 1.0 * (1.0 * (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * sin( + th4) - 1.0 * sin(th2) * cos(th1) * cos(th4)) * sin(th6)) * cos(th7) - (1.0 * (((-1.0 * sin( + th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin(th1) * sin(th2) * sin( + th4)) * cos(th5) + (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos(th1) * cos(th3)) * sin(th5)) * cos( + th6) + 1.0 * (1.0 * (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin( + th4) + 1.0 * sin(th1) * sin(th2) * cos(th4)) * sin(th6)) * sin(th7) + (-1.0 * ( + (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin(th2) * sin( + th4) * cos(th1)) * sin(th5) + 1.0 * (1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos( + th2)) * cos(th5)) * sin(th7) + 1.0 * (1.0 * ( + (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin( + th1) * sin(th2) * sin(th4)) * sin(th5) - 1.0 * (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos( + th1) * cos(th3)) * cos(th5)) * cos(th7) + 1.0 * (1.0 * ( + -1.0 * sin(th2) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th2)) * cos(th5) + 1.0 * sin( + th2) * sin(th3) * sin(th5)) * sin(th6) + 1.0 * (1.0 * sin(th2) * sin(th4) * cos(th3) + 1.0 * cos( + th2) * cos(th4)) * cos(th6) + 1))) + , + 0.5 * (-0.5 * (-1.0 * (((1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin( + th2) * sin(th4) * cos(th1)) * cos(th5) + ( + 1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos(th2)) * sin( + th5)) * sin(th6) + 1.0 * (1.0 * (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * sin( + th4) - 1.0 * sin(th2) * cos(th1) * cos(th4)) * cos(th6)) * cos(th7) - (-1.0 * (((-1.0 * sin(th1) * cos( + th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin(th1) * sin(th2) * sin(th4)) * cos( + th5) + (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos(th1) * cos(th3)) * sin(th5)) * sin( + th6) + 1.0 * (1.0 * (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin( + th4) + 1.0 * sin(th1) * sin(th2) * cos(th4)) * cos(th6)) * sin(th7) / 2 + 0.5 * ( + 1.0 * (-1.0 * sin(th2) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th2)) * cos( + th5) + 1.0 * sin(th2) * sin(th3) * sin(th5)) * cos(th6) - 0.5 * ( + 1.0 * sin(th2) * sin(th4) * cos(th3) + 1.0 * cos(th2) * cos(th4)) * sin(th6)) / isolate( + sqrt(isosqrt(-1.0 * (1.0 * (((1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos( + th4) + 1.0 * sin(th2) * sin(th4) * cos(th1)) * cos(th5) + ( + 1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos( + th2)) * sin(th5)) * cos(th6) + 1.0 * (1.0 * ( + 1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * sin(th4) - 1.0 * sin( + th2) * cos(th1) * cos(th4)) * sin(th6)) * cos(th7) - (1.0 * (((-1.0 * sin(th1) * cos(th2) * cos( + th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin(th1) * sin(th2) * sin(th4)) * cos(th5) + ( + 1.0 * sin(th1) * sin( + th3) * cos(th2) + 1.0 * cos( + th1) * cos(th3)) * sin( + th5)) * cos(th6) + 1.0 * (1.0 * ( + -1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin(th4) + 1.0 * sin( + th1) * sin(th2) * cos(th4)) * sin(th6)) * sin(th7) + (-1.0 * ( + (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin( + th2) * sin(th4) * cos(th1)) * sin(th5) + 1.0 * (1.0 * sin(th1) * cos(th3) - 1.0 * sin( + th3) * cos(th1) * cos(th2)) * cos(th5)) * sin(th7) + 1.0 * (1.0 * ( + (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin( + th1) * sin(th2) * sin(th4)) * sin(th5) - 1.0 * (1.0 * sin(th1) * sin(th3) * cos( + th2) + 1.0 * cos(th1) * cos(th3)) * cos(th5)) * cos(th7) + 1.0 * (1.0 * ( + -1.0 * sin(th2) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th2)) * cos(th5) + 1.0 * sin( + th2) * sin(th3) * sin(th5)) * sin(th6) + 1.0 * ( + 1.0 * sin(th2) * sin(th4) * cos(th3) + 1.0 * cos(th2) * cos(th4)) * cos( + th6) + 1))) + , + 0.5 * (0.5 * (1.0 * (((1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin( + th2) * sin(th4) * cos(th1)) * cos(th5) + ( + 1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos(th2)) * sin( + th5)) * cos(th6) + 1.0 * (1.0 * (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * sin( + th4) - 1.0 * sin(th2) * cos(th1) * cos(th4)) * sin(th6)) * sin(th7) - (1.0 * (((-1.0 * sin(th1) * cos( + th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin(th1) * sin(th2) * sin(th4)) * cos( + th5) + (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos(th1) * cos(th3)) * sin(th5)) * cos( + th6) + 1.0 * (1.0 * (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin( + th4) + 1.0 * sin(th1) * sin(th2) * cos(th4)) * sin(th6)) * cos(th7) / 2 + (-1.0 * ( + (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin(th2) * sin( + th4) * cos(th1)) * sin(th5) + 1.0 * (1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos( + th2)) * cos(th5)) * cos(th7) / 2 - 0.5 * (1.0 * ( + (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin( + th1) * sin(th2) * sin(th4)) * sin(th5) - 1.0 * (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos( + th1) * cos(th3)) * cos(th5)) * sin(th7)) / isolate(sqrt(isosqrt(-1.0 * (1.0 * (((1.0 * sin(th1) * sin( + th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin(th2) * sin(th4) * cos(th1)) * cos(th5) + ( + 1.0 * sin( + th1) * cos( + th3) - 1.0 * sin( + th3) * cos( + th1) * cos( + th2)) * sin( + th5)) * cos(th6) + 1.0 * (1.0 * (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * sin( + th4) - 1.0 * sin(th2) * cos(th1) * cos(th4)) * sin(th6)) * cos(th7) - (1.0 * (((-1.0 * sin(th1) * cos( + th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin(th1) * sin(th2) * sin(th4)) * cos( + th5) + (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos(th1) * cos(th3)) * sin(th5)) * cos( + th6) + 1.0 * (1.0 * (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin( + th4) + 1.0 * sin(th1) * sin(th2) * cos(th4)) * sin(th6)) * sin(th7) + (-1.0 * ( + (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin(th2) * sin( + th4) * cos(th1)) * sin(th5) + 1.0 * (1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos( + th2)) * cos(th5)) * sin(th7) + 1.0 * (1.0 * ( + (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin( + th1) * sin(th2) * sin(th4)) * sin(th5) - 1.0 * (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos( + th1) * cos(th3)) * cos(th5)) * cos(th7) + 1.0 * (1.0 * ( + -1.0 * sin(th2) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th2)) * cos(th5) + 1.0 * sin( + th2) * sin(th3) * sin(th5)) * sin(th6) + 1.0 * (1.0 * sin(th2) * sin(th4) * cos(th3) + 1.0 * cos( + th2) * cos(th4)) * cos(th6) + 1))) + ], + [ + 0.5 * ((1.0 * (((-1.0 * sin(th1) * sin(th3) - 1.0 * cos(th1) * cos(th2) * cos(th3)) * cos(th4) - 1.0 * sin( + th2) * sin(th4) * cos(th1)) * cos(th5) + ( + -1.0 * sin(th1) * cos(th3) + 1.0 * sin(th3) * cos(th1) * cos(th2)) * sin( + th5)) * cos(th6) + 1.0 * ( + 1.0 * (-1.0 * sin(th1) * sin(th3) - 1.0 * cos(th1) * cos(th2) * cos(th3)) * sin( + th4) + 1.0 * sin(th2) * cos(th1) * cos(th4)) * sin(th6)) * sin(th7) / 2 + 0.5 * (1.0 * ((( + -sin( + th1) * cos( + th2) * cos( + th3) + 1.0 * sin( + th3) * cos( + th1)) * cos( + th4) - 1.0 * sin(th1) * sin(th2) * sin(th4)) * cos(th5) + (1.0 * sin(th1) * sin(th3) * cos( + th2) + 1.0 * cos(th1) * cos(th3)) * sin(th5)) * cos(th6) + 1.0 * (1.0 * ( + -sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin(th4) + 1.0 * sin(th1) * sin( + th2) * cos(th4)) * sin(th6)) * cos(th7) - 0.5 * (1.0 * ( + (-1.0 * sin(th1) * sin(th3) - 1.0 * cos(th1) * cos(th2) * cos(th3)) * cos(th4) - 1.0 * sin( + th2) * sin(th4) * cos(th1)) * sin(th5) - 1.0 * (-1.0 * sin(th1) * cos(th3) + 1.0 * sin(th3) * cos( + th1) * cos(th2)) * cos(th5)) * cos(th7) - (-1.0 * ( + (-sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin(th1) * sin( + th2) * sin(th4)) * sin(th5) + 1.0 * (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos(th1) * cos( + th3)) * cos(th5)) * sin(th7) / 2) / isolate(sqrt(isosqrt(1.0 * (1.0 * (((1.0 * sin(th1) * sin( + th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin(th2) * sin(th4) * cos(th1)) * cos(th5) + ( + 1.0 * sin(th1) * cos( + th3) - 1.0 * sin( + th3) * cos(th1) * cos( + th2)) * sin(th5)) * cos( + th6) + 1.0 * (1.0 * (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * sin(th4) - 1.0 * sin( + th2) * cos(th1) * cos(th4)) * sin(th6)) * cos(th7) + (1.0 * (((-1.0 * sin(th1) * cos(th2) * cos( + th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin(th1) * sin(th2) * sin(th4)) * cos(th5) + ( + 1.0 * sin(th1) * sin( + th3) * cos(th2) + 1.0 * cos( + th1) * cos(th3)) * sin(th5)) * cos( + th6) + 1.0 * (1.0 * (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin( + th4) + 1.0 * sin(th1) * sin(th2) * cos(th4)) * sin(th6)) * sin(th7) - (-1.0 * ( + (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin(th2) * sin( + th4) * cos(th1)) * sin(th5) + 1.0 * (1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos( + th2)) * cos(th5)) * sin(th7) - 1.0 * (1.0 * ( + (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin( + th1) * sin(th2) * sin(th4)) * sin(th5) - 1.0 * (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos( + th1) * cos(th3)) * cos(th5)) * cos(th7) + 1.0 * (1.0 * ( + -1.0 * sin(th2) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th2)) * cos(th5) + 1.0 * sin( + th2) * sin(th3) * sin(th5)) * sin(th6) + 1.0 * (1.0 * sin(th2) * sin(th4) * cos(th3) + 1.0 * cos( + th2) * cos(th4)) * cos(th6) + 1))) + , + 0.5 * ((1.0 * ( + (1.0 * sin(th1) * sin(th2) * cos(th3) * cos(th4) - 1.0 * sin(th1) * sin(th4) * cos(th2)) * cos( + th5) - 1.0 * sin(th1) * sin(th2) * sin(th3) * sin(th5)) * cos(th6) + 1.0 * ( + 1.0 * sin(th1) * sin(th2) * sin(th4) * cos(th3) + 1.0 * sin(th1) * cos(th2) * cos( + th4)) * sin(th6)) * sin(th7) / 2 + 0.5 * (1.0 * ( + (-sin(th2) * cos(th1) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th1) * cos(th2)) * cos( + th5) + 1.0 * sin(th2) * sin(th3) * sin(th5) * cos(th1)) * cos(th6) + 1.0 * ( + -1.0 * sin(th2) * sin(th4) * cos( + th1) * cos(th3) - 1.0 * cos(th1) * cos( + th2) * cos(th4)) * sin(th6)) * cos( + th7) + 0.5 * (1.0 * (-1.0 * sin(th2) * sin(th4) - 1.0 * cos(th2) * cos(th3) * cos(th4)) * cos( + th5) + 1.0 * sin(th3) * sin(th5) * cos(th2)) * sin(th6) - 0.5 * (1.0 * ( + 1.0 * sin(th1) * sin(th2) * cos(th3) * cos(th4) - 1.0 * sin(th1) * sin(th4) * cos(th2)) * sin( + th5) + 1.0 * sin(th1) * sin(th2) * sin(th3) * cos(th5)) * cos(th7) - (-1.0 * ( + -sin(th2) * cos(th1) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th1) * cos(th2)) * sin( + th5) + 1.0 * sin(th2) * sin(th3) * cos(th1) * cos(th5)) * sin(th7) / 2 + 0.5 * ( + -1.0 * sin(th2) * cos(th4) + 1.0 * sin(th4) * cos(th2) * cos(th3)) * cos(th6)) / isolate( + sqrt(isosqrt(1.0 * (1.0 * (((1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos( + th4) + 1.0 * sin(th2) * sin(th4) * cos(th1)) * cos(th5) + ( + 1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos( + th2)) * sin(th5)) * cos(th6) + 1.0 * (1.0 * ( + 1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * sin(th4) - 1.0 * sin( + th2) * cos(th1) * cos(th4)) * sin(th6)) * cos(th7) + (1.0 * (((-1.0 * sin(th1) * cos(th2) * cos( + th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin(th1) * sin(th2) * sin(th4)) * cos(th5) + ( + 1.0 * sin(th1) * sin( + th3) * cos(th2) + 1.0 * cos( + th1) * cos(th3)) * sin( + th5)) * cos(th6) + 1.0 * (1.0 * ( + -1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin(th4) + 1.0 * sin( + th1) * sin(th2) * cos(th4)) * sin(th6)) * sin(th7) - (-1.0 * ( + (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin( + th2) * sin(th4) * cos(th1)) * sin(th5) + 1.0 * (1.0 * sin(th1) * cos(th3) - 1.0 * sin( + th3) * cos(th1) * cos(th2)) * cos(th5)) * sin(th7) - 1.0 * (1.0 * ( + (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin( + + th1) * sin(th2) * sin(th4)) * sin(th5) - 1.0 * (1.0 * sin(th1) * sin(th3) * cos( + th2) + 1.0 * cos(th1) * cos(th3)) * cos(th5)) * cos(th7) + 1.0 * (1.0 * ( + -1.0 * sin(th2) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th2)) * cos(th5) + 1.0 * sin( + th2) * sin(th3) * sin(th5)) * sin(th6) + 1.0 * ( + 1.0 * sin(th2) * sin(th4) * cos(th3) + 1.0 * cos(th2) * cos(th4)) * cos( + th6) + 1))) + , + 0.5 * (0.5 * (1.0 * ((-1.0 * sin(th1) * sin(th3) - 1.0 * cos(th1) * cos(th2) * cos(th3)) * sin(th5) + ( + 1.0 * sin(th1) * cos(th3) - sin(th3) * cos(th1) * cos(th2)) * cos(th4) * cos(th5)) * cos( + th6) + 1.0 * (1.0 * sin(th1) * cos(th3) - sin(th3) * cos(th1) * cos(th2)) * sin(th4) * sin(th6)) * cos( + th7) - (1.0 * (-1.0 * sin(th1) * sin(th3) - 1.0 * cos(th1) * cos(th2) * cos(th3)) * cos(th5) - 1.0 * ( + 1.0 * sin(th1) * cos(th3) - sin(th3) * cos(th1) * cos(th2)) * sin(th5) * cos(th4)) * sin( + th7) / 2 + (1.0 * ( + (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos(th1) * cos(th3)) * cos(th4) * cos(th5) + ( + 1.0 * sin(th1) * cos(th2) * cos(th3) - 1.0 * sin(th3) * cos(th1)) * sin(th5)) * cos( + th6) + 1.0 * (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos(th1) * cos(th3)) * sin(th4) * sin( + th6)) * sin(th7) / 2 - 0.5 * ( + 1.0 * (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos(th1) * cos(th3)) * sin( + th5) * cos(th4) - 1.0 * ( + 1.0 * sin(th1) * cos(th2) * cos(th3) - 1.0 * sin(th3) * cos(th1)) * cos( + th5)) * cos(th7) + 0.5 * ( + 1.0 * sin(th2) * sin(th3) * cos(th4) * cos(th5) + 1.0 * sin(th2) * sin(th5) * cos( + th3)) * sin(th6) - 0.5 * sin(th2) * sin(th3) * sin(th4) * cos(th6)) / isolate(sqrt(isosqrt( + 1.0 * (1.0 * (((1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin( + th2) * sin(th4) * cos(th1)) * cos(th5) + ( + 1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos(th2)) * sin( + th5)) * cos(th6) + 1.0 * (1.0 * (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * sin( + th4) - 1.0 * sin(th2) * cos(th1) * cos(th4)) * sin(th6)) * cos(th7) + (1.0 * (((-1.0 * sin( + th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin(th1) * sin( + th2) * sin(th4)) * cos(th5) + (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos(th1) * cos( + th3)) * sin(th5)) * cos(th6) + 1.0 * (1.0 * ( + -1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin(th4) + 1.0 * sin( + th1) * sin(th2) * cos(th4)) * sin(th6)) * sin(th7) - (-1.0 * ( + (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin( + th2) * sin(th4) * cos(th1)) * sin(th5) + 1.0 * (1.0 * sin(th1) * cos(th3) - 1.0 * sin( + th3) * cos(th1) * cos(th2)) * cos(th5)) * sin(th7) - 1.0 * (1.0 * ( + (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin( + th1) * sin(th2) * sin(th4)) * sin(th5) - 1.0 * (1.0 * sin(th1) * sin(th3) * cos( + th2) + 1.0 * cos(th1) * cos(th3)) * cos(th5)) * cos(th7) + 1.0 * ( + 1.0 * (-1.0 * sin(th2) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th2)) * cos( + th5) + 1.0 * sin(th2) * sin(th3) * sin(th5)) * sin(th6) + 1.0 * ( + 1.0 * sin(th2) * sin(th4) * cos(th3) + 1.0 * cos(th2) * cos(th4)) * cos(th6) + 1))) + , + 0.5 * (0.5 * ( + -(1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * sin(th4) + 1.0 * sin(th2) * cos( + th1) * cos(th4)) * sin(th5) * sin(th7) - 0.5 * ( + -(-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin( + th4) - 1.0 * sin(th1) * sin(th2) * cos(th4)) * sin(th5) * cos(th7) + 0.5 * (1.0 * ( + -(1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * sin(th4) + 1.0 * sin(th2) * cos( + th1) * cos(th4)) * cos(th5) * cos(th6) + 1.0 * (1.0 * ( + 1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin(th2) * sin( + th4) * cos(th1)) * sin(th6)) * cos(th7) + (1.0 * ( + -(-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin(th4) - 1.0 * sin( + th1) * sin(th2) * cos(th4)) * cos(th5) * cos(th6) + 1.0 * (1.0 * ( + -1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin( + th1) * sin(th2) * sin(th4)) * sin(th6)) * sin(th7) / 2 + 0.5 * ( + 1.0 * sin(th2) * sin(th4) * cos(th3) + 1.0 * cos(th2) * cos(th4)) * sin(th6) * cos( + th5) + 0.5 * (1.0 * sin(th2) * cos(th3) * cos(th4) - 1.0 * sin(th4) * cos(th2)) * cos(th6)) / isolate( + sqrt(isosqrt(1.0 * (1.0 * (((1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos( + th4) + 1.0 * sin(th2) * sin(th4) * cos(th1)) * cos(th5) + ( + 1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos( + th2)) * sin(th5)) * cos(th6) + 1.0 * (1.0 * ( + 1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * sin(th4) - 1.0 * sin( + th2) * cos(th1) * cos(th4)) * sin(th6)) * cos(th7) + (1.0 * (((-1.0 * sin(th1) * cos(th2) * cos( + th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin(th1) * sin(th2) * sin(th4)) * cos(th5) + ( + 1.0 * sin(th1) * sin( + th3) * cos(th2) + 1.0 * cos( + th1) * cos(th3)) * sin( + th5)) * cos(th6) + 1.0 * (1.0 * ( + -1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin(th4) + 1.0 * sin( + th1) * sin(th2) * cos(th4)) * sin(th6)) * sin(th7) - (-1.0 * ( + (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin( + th2) * sin(th4) * cos(th1)) * sin(th5) + 1.0 * (1.0 * sin(th1) * cos(th3) - 1.0 * sin( + th3) * cos(th1) * cos(th2)) * cos(th5)) * sin(th7) - 1.0 * (1.0 * ( + (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin( + th1) * sin(th2) * sin(th4)) * sin(th5) - 1.0 * (1.0 * sin(th1) * sin(th3) * cos( + th2) + 1.0 * cos(th1) * cos(th3)) * cos(th5)) * cos(th7) + 1.0 * (1.0 * ( + -1.0 * sin(th2) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th2)) * cos(th5) + 1.0 * sin( + th2) * sin(th3) * sin(th5)) * sin(th6) + 1.0 * ( + 1.0 * sin(th2) * sin(th4) * cos(th3) + 1.0 * cos(th2) * cos(th4)) * cos( + th6) + 1))) + , + 0.5 * (0.5 * (-( + (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin(th2) * sin( + th4) * cos(th1)) * sin(th5) + ( + 1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos(th2)) * cos( + th5)) * cos(th6) * cos(th7) - (-1.0 * ( + (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin(th2) * sin( + th4) * cos(th1)) * cos(th5) - 1.0 * (1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos( + th2)) * sin(th5)) * sin(th7) / 2 + 0.5 * (-( + (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin( + th1) * sin(th2) * sin(th4)) * sin(th5) + (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos( + th1) * cos(th3)) * cos(th5)) * sin(th7) * cos(th6) - 0.5 * (1.0 * ( + (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin( + th1) * sin(th2) * sin(th4)) * cos(th5) + 1.0 * (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos( + th1) * cos(th3)) * sin(th5)) * cos(th7) + 0.5 * ( + -1.0 * (-1.0 * sin(th2) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th2)) * sin( + th5) + 1.0 * sin(th2) * sin(th3) * cos(th5)) * sin(th6)) / isolate(sqrt(isosqrt(1.0 * ( + 1.0 * (((1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin( + th2) * sin(th4) * cos(th1)) * cos(th5) + ( + 1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos(th2)) * sin( + th5)) * cos(th6) + 1.0 * (1.0 * (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * sin( + th4) - 1.0 * sin(th2) * cos(th1) * cos(th4)) * sin(th6)) * cos(th7) + (1.0 * (((-1.0 * sin( + th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin(th1) * sin(th2) * sin( + th4)) * cos(th5) + (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos(th1) * cos(th3)) * sin(th5)) * cos( + th6) + 1.0 * (1.0 * (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin( + th4) + 1.0 * sin(th1) * sin(th2) * cos(th4)) * sin(th6)) * sin(th7) - (-1.0 * ( + (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin(th2) * sin( + th4) * cos(th1)) * sin(th5) + 1.0 * (1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos( + th2)) * cos(th5)) * sin(th7) - 1.0 * (1.0 * ( + (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin( + th1) * sin(th2) * sin(th4)) * sin(th5) - 1.0 * (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos( + th1) * cos(th3)) * cos(th5)) * cos(th7) + 1.0 * (1.0 * ( + -1.0 * sin(th2) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th2)) * cos(th5) + 1.0 * sin( + th2) * sin(th3) * sin(th5)) * sin(th6) + 1.0 * (1.0 * sin(th2) * sin(th4) * cos(th3) + 1.0 * cos( + th2) * cos(th4)) * cos(th6) + 1))) + , + 0.5 * (0.5 * (-1.0 * (((1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin( + th2) * sin(th4) * cos(th1)) * cos(th5) + ( + 1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos(th2)) * sin( + th5)) * sin(th6) + 1.0 * (1.0 * (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * sin( + th4) - 1.0 * sin(th2) * cos(th1) * cos(th4)) * cos(th6)) * cos(th7) + (-1.0 * (((-1.0 * sin(th1) * cos( + th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin(th1) * sin(th2) * sin(th4)) * cos( + th5) + (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos(th1) * cos(th3)) * sin(th5)) * sin( + th6) + 1.0 * (1.0 * (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin( + th4) + 1.0 * sin(th1) * sin(th2) * cos(th4)) * cos(th6)) * sin(th7) / 2 + 0.5 * ( + 1.0 * (-1.0 * sin(th2) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th2)) * cos( + th5) + 1.0 * sin(th2) * sin(th3) * sin(th5)) * cos(th6) - 0.5 * ( + 1.0 * sin(th2) * sin(th4) * cos(th3) + 1.0 * cos(th2) * cos(th4)) * sin(th6)) / isolate( + sqrt(isosqrt(1.0 * (1.0 * (((1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos( + th4) + 1.0 * sin(th2) * sin(th4) * cos(th1)) * cos(th5) + ( + 1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos( + th2)) * sin(th5)) * cos(th6) + 1.0 * (1.0 * ( + 1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * sin(th4) - 1.0 * sin( + th2) * cos(th1) * cos(th4)) * sin(th6)) * cos(th7) + (1.0 * (((-1.0 * sin(th1) * cos(th2) * cos( + th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin(th1) * sin(th2) * sin(th4)) * cos(th5) + ( + 1.0 * sin(th1) * sin( + th3) * cos(th2) + 1.0 * cos( + th1) * cos(th3)) * sin( + th5)) * cos(th6) + 1.0 * (1.0 * ( + -1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin(th4) + 1.0 * sin( + th1) * sin(th2) * cos(th4)) * sin(th6)) * sin(th7) - (-1.0 * ( + (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin( + th2) * sin(th4) * cos(th1)) * sin(th5) + 1.0 * (1.0 * sin(th1) * cos(th3) - 1.0 * sin( + th3) * cos(th1) * cos(th2)) * cos(th5)) * sin(th7) - 1.0 * (1.0 * ( + (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin( + th1) * sin(th2) * sin(th4)) * sin(th5) - 1.0 * (1.0 * sin(th1) * sin(th3) * cos( + th2) + 1.0 * cos(th1) * cos(th3)) * cos(th5)) * cos(th7) + 1.0 * (1.0 * ( + -1.0 * sin(th2) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th2)) * cos(th5) + 1.0 * sin( + th2) * sin(th3) * sin(th5)) * sin(th6) + 1.0 * ( + 1.0 * sin(th2) * sin(th4) * cos(th3) + 1.0 * cos(th2) * cos(th4)) * cos( + th6) + 1))) + , + 0.5 * (-0.5 * (1.0 * (((1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin( + th2) * sin(th4) * cos(th1)) * cos(th5) + ( + 1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos(th2)) * sin( + th5)) * cos(th6) + 1.0 * (1.0 * (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * sin( + th4) - 1.0 * sin(th2) * cos(th1) * cos(th4)) * sin(th6)) * sin(th7) + (1.0 * (((-1.0 * sin(th1) * cos( + th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin(th1) * sin(th2) * sin(th4)) * cos( + th5) + (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos(th1) * cos(th3)) * sin(th5)) * cos( + th6) + 1.0 * (1.0 * (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin( + th4) + 1.0 * sin(th1) * sin(th2) * cos(th4)) * sin(th6)) * cos(th7) / 2 - (-1.0 * ( + (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin(th2) * sin( + th4) * cos(th1)) * sin(th5) + 1.0 * (1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos( + th2)) * cos(th5)) * cos(th7) / 2 + 0.5 * (1.0 * ( + (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin( + th1) * sin(th2) * sin(th4)) * sin(th5) - 1.0 * (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos( + th1) * cos(th3)) * cos(th5)) * sin(th7)) / isolate(sqrt(isosqrt(1.0 * (1.0 * (((1.0 * sin(th1) * sin( + th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin(th2) * sin(th4) * cos(th1)) * cos(th5) + ( + 1.0 * sin( + th1) * cos( + th3) - 1.0 * sin( + th3) * cos( + th1) * cos( + th2)) * sin( + th5)) * cos(th6) + 1.0 * (1.0 * (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * sin( + th4) - 1.0 * sin(th2) * cos(th1) * cos(th4)) * sin(th6)) * cos(th7) + (1.0 * (((-1.0 * sin(th1) * cos( + th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin(th1) * sin(th2) * sin(th4)) * cos( + th5) + (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos(th1) * cos(th3)) * sin(th5)) * cos( + th6) + 1.0 * (1.0 * (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin( + th4) + 1.0 * sin(th1) * sin(th2) * cos(th4)) * sin(th6)) * sin(th7) - (-1.0 * ( + (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin(th2) * sin( + th4) * cos(th1)) * sin(th5) + 1.0 * (1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos( + th2)) * cos(th5)) * sin(th7) - 1.0 * (1.0 * ( + (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin( + th1) * sin(th2) * sin(th4)) * sin(th5) - 1.0 * (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos( + th1) * cos(th3)) * cos(th5)) * cos(th7) + 1.0 * (1.0 * ( + -1.0 * sin(th2) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th2)) * cos(th5) + 1.0 * sin( + th2) * sin(th3) * sin(th5)) * sin(th6) + 1.0 * (1.0 * sin(th2) * sin(th4) * cos(th3) + 1.0 * cos( + th2) * cos(th4)) * cos(th6) + 1))) + ], + [ + 0.5 * (-(1.0 * (((-1.0 * sin(th1) * sin(th3) - 1.0 * cos(th1) * cos(th2) * cos(th3)) * cos(th4) - 1.0 * sin( + th2) * sin(th4) * cos(th1)) * cos(th5) + ( + -1.0 * sin(th1) * cos(th3) + 1.0 * sin(th3) * cos(th1) * cos(th2)) * sin( + th5)) * cos(th6) + 1.0 * ( + 1.0 * (-1.0 * sin(th1) * sin(th3) - 1.0 * cos(th1) * cos(th2) * cos(th3)) * sin( + th4) + 1.0 * sin(th2) * cos(th1) * cos(th4)) * sin(th6)) * sin(th7) / 2 + 0.5 * (1.0 * ((( + -sin( + th1) * cos( + th2) * cos( + th3) + 1.0 * sin( + th3) * cos( + th1)) * cos( + th4) - 1.0 * sin(th1) * sin(th2) * sin(th4)) * cos(th5) + (1.0 * sin(th1) * sin(th3) * cos( + th2) + 1.0 * cos(th1) * cos(th3)) * sin(th5)) * cos(th6) + 1.0 * (1.0 * ( + -sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin(th4) + 1.0 * sin(th1) * sin( + th2) * cos(th4)) * sin(th6)) * cos(th7) + 0.5 * (1.0 * ( + (-1.0 * sin(th1) * sin(th3) - 1.0 * cos(th1) * cos(th2) * cos(th3)) * cos(th4) - 1.0 * sin( + th2) * sin(th4) * cos(th1)) * sin(th5) - 1.0 * (-1.0 * sin(th1) * cos(th3) + 1.0 * sin(th3) * cos( + th1) * cos(th2)) * cos(th5)) * cos(th7) - (-1.0 * ( + (-sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin(th1) * sin( + th2) * sin(th4)) * sin(th5) + 1.0 * (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos(th1) * cos( + th3)) * cos(th5)) * sin(th7) / 2) / isolate(sqrt(isosqrt(1.0 * (1.0 * (((1.0 * sin(th1) * sin( + th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin(th2) * sin(th4) * cos(th1)) * cos(th5) + ( + 1.0 * sin(th1) * cos( + th3) - 1.0 * sin( + th3) * cos(th1) * cos( + th2)) * sin(th5)) * cos( + th6) + 1.0 * (1.0 * (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * sin(th4) - 1.0 * sin( + th2) * cos(th1) * cos(th4)) * sin(th6)) * cos(th7) - (1.0 * (((-1.0 * sin(th1) * cos(th2) * cos( + th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin(th1) * sin(th2) * sin(th4)) * cos(th5) + ( + 1.0 * sin(th1) * sin( + th3) * cos(th2) + 1.0 * cos( + th1) * cos(th3)) * sin(th5)) * cos( + th6) + 1.0 * (1.0 * (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin( + th4) + 1.0 * sin(th1) * sin(th2) * cos(th4)) * sin(th6)) * sin(th7) - (-1.0 * ( + (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin(th2) * sin( + th4) * cos(th1)) * sin(th5) + 1.0 * (1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos( + th2)) * cos(th5)) * sin(th7) + 1.0 * (1.0 * ( + (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin( + th1) * sin(th2) * sin(th4)) * sin(th5) - 1.0 * (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos( + th1) * cos(th3)) * cos(th5)) * cos(th7) - 1.0 * (1.0 * ( + -1.0 * sin(th2) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th2)) * cos(th5) + 1.0 * sin( + th2) * sin(th3) * sin(th5)) * sin(th6) - 1.0 * (1.0 * sin(th2) * sin(th4) * cos(th3) + 1.0 * cos( + th2) * cos(th4)) * cos(th6) + 1))) + , + 0.5 * (-(1.0 * ( + (1.0 * sin(th1) * sin(th2) * cos(th3) * cos(th4) - 1.0 * sin(th1) * sin(th4) * cos(th2)) * cos( + th5) - 1.0 * sin(th1) * sin(th2) * sin(th3) * sin(th5)) * cos(th6) + 1.0 * ( + 1.0 * sin(th1) * sin(th2) * sin(th4) * cos(th3) + 1.0 * sin(th1) * cos(th2) * cos( + th4)) * sin(th6)) * sin(th7) / 2 + 0.5 * (1.0 * ( + (-sin(th2) * cos(th1) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th1) * cos(th2)) * cos( + th5) + 1.0 * sin(th2) * sin(th3) * sin(th5) * cos(th1)) * cos(th6) + 1.0 * ( + -1.0 * sin(th2) * sin(th4) * cos( + th1) * cos(th3) - 1.0 * cos(th1) * cos( + th2) * cos(th4)) * sin(th6)) * cos( + th7) - 0.5 * (1.0 * (-1.0 * sin(th2) * sin(th4) - 1.0 * cos(th2) * cos(th3) * cos(th4)) * cos( + th5) + 1.0 * sin(th3) * sin(th5) * cos(th2)) * sin(th6) + 0.5 * (1.0 * ( + 1.0 * sin(th1) * sin(th2) * cos(th3) * cos(th4) - 1.0 * sin(th1) * sin(th4) * cos(th2)) * sin( + th5) + 1.0 * sin(th1) * sin(th2) * sin(th3) * cos(th5)) * cos(th7) - (-1.0 * ( + -sin(th2) * cos(th1) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th1) * cos(th2)) * sin( + th5) + 1.0 * sin(th2) * sin(th3) * cos(th1) * cos(th5)) * sin(th7) / 2 - 0.5 * ( + -1.0 * sin(th2) * cos(th4) + 1.0 * sin(th4) * cos(th2) * cos(th3)) * cos(th6)) / isolate( + sqrt(isosqrt(1.0 * (1.0 * (((1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos( + th4) + 1.0 * sin(th2) * sin(th4) * cos(th1)) * cos(th5) + ( + 1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos( + th2)) * sin(th5)) * cos(th6) + 1.0 * (1.0 * ( + 1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * sin(th4) - 1.0 * sin( + th2) * cos(th1) * cos(th4)) * sin(th6)) * cos(th7) - (1.0 * (((-1.0 * sin(th1) * cos(th2) * cos( + th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin(th1) * sin(th2) * sin(th4)) * cos(th5) + ( + 1.0 * sin(th1) * sin( + th3) * cos(th2) + 1.0 * cos( + th1) * cos(th3)) * sin( + th5)) * cos(th6) + 1.0 * (1.0 * ( + -1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin(th4) + 1.0 * sin( + th1) * sin(th2) * cos(th4)) * sin(th6)) * sin(th7) - (-1.0 * ( + (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin( + th2) * sin(th4) * cos(th1)) * sin(th5) + 1.0 * (1.0 * sin(th1) * cos(th3) - 1.0 * sin( + th3) * cos(th1) * cos(th2)) * cos(th5)) * sin(th7) + 1.0 * (1.0 * ( + (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin( + th1) * sin(th2) * sin(th4)) * sin(th5) - 1.0 * (1.0 * sin(th1) * sin(th3) * cos( + th2) + 1.0 * cos(th1) * cos(th3)) * cos(th5)) * cos(th7) - 1.0 * (1.0 * ( + -1.0 * sin(th2) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th2)) * cos(th5) + 1.0 * sin( + th2) * sin(th3) * sin(th5)) * sin(th6) - 1.0 * ( + 1.0 * sin(th2) * sin(th4) * cos(th3) + 1.0 * cos(th2) * cos(th4)) * cos( + th6) + 1))) + , + 0.5 * (0.5 * (1.0 * ((-1.0 * sin(th1) * sin(th3) - 1.0 * cos(th1) * cos(th2) * cos(th3)) * sin(th5) + ( + 1.0 * sin(th1) * cos(th3) - sin(th3) * cos(th1) * cos(th2)) * cos(th4) * cos(th5)) * cos( + th6) + 1.0 * (1.0 * sin(th1) * cos(th3) - sin(th3) * cos(th1) * cos(th2)) * sin(th4) * sin(th6)) * cos( + th7) - (1.0 * (-1.0 * sin(th1) * sin(th3) - 1.0 * cos(th1) * cos(th2) * cos(th3)) * cos(th5) - 1.0 * ( + 1.0 * sin(th1) * cos(th3) - sin(th3) * cos(th1) * cos(th2)) * sin(th5) * cos(th4)) * sin( + th7) / 2 - (1.0 * ( + (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos(th1) * cos(th3)) * cos(th4) * cos(th5) + ( + 1.0 * sin(th1) * cos(th2) * cos(th3) - 1.0 * sin(th3) * cos(th1)) * sin(th5)) * cos( + th6) + 1.0 * (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos(th1) * cos(th3)) * sin(th4) * sin( + th6)) * sin(th7) / 2 + 0.5 * ( + 1.0 * (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos(th1) * cos(th3)) * sin( + th5) * cos(th4) - 1.0 * ( + 1.0 * sin(th1) * cos(th2) * cos(th3) - 1.0 * sin(th3) * cos(th1)) * cos( + th5)) * cos(th7) - 0.5 * ( + 1.0 * sin(th2) * sin(th3) * cos(th4) * cos(th5) + 1.0 * sin(th2) * sin(th5) * cos( + th3)) * sin(th6) + 0.5 * sin(th2) * sin(th3) * sin(th4) * cos(th6)) / isolate(sqrt(isosqrt( + 1.0 * (1.0 * (((1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin( + th2) * sin(th4) * cos(th1)) * cos(th5) + ( + 1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos(th2)) * sin( + th5)) * cos(th6) + 1.0 * (1.0 * (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * sin( + th4) - 1.0 * sin(th2) * cos(th1) * cos(th4)) * sin(th6)) * cos(th7) - (1.0 * (((-1.0 * sin( + th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin(th1) * sin( + th2) * sin(th4)) * cos(th5) + (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos(th1) * cos( + th3)) * sin(th5)) * cos(th6) + 1.0 * (1.0 * ( + -1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin(th4) + 1.0 * sin( + th1) * sin(th2) * cos(th4)) * sin(th6)) * sin(th7) - (-1.0 * ( + (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin( + th2) * sin(th4) * cos(th1)) * sin(th5) + 1.0 * (1.0 * sin(th1) * cos(th3) - 1.0 * sin( + th3) * cos(th1) * cos(th2)) * cos(th5)) * sin(th7) + 1.0 * (1.0 * ( + (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin( + th1) * sin(th2) * sin(th4)) * sin(th5) - 1.0 * (1.0 * sin(th1) * sin(th3) * cos( + th2) + 1.0 * cos(th1) * cos(th3)) * cos(th5)) * cos(th7) - 1.0 * ( + 1.0 * (-1.0 * sin(th2) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th2)) * cos( + th5) + 1.0 * sin(th2) * sin(th3) * sin(th5)) * sin(th6) - 1.0 * ( + 1.0 * sin(th2) * sin(th4) * cos(th3) + 1.0 * cos(th2) * cos(th4)) * cos(th6) + 1))) + , + 0.5 * (0.5 * ( + -(1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * sin(th4) + 1.0 * sin(th2) * cos( + th1) * cos(th4)) * sin(th5) * sin(th7) + 0.5 * ( + -(-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin( + th4) - 1.0 * sin(th1) * sin(th2) * cos(th4)) * sin(th5) * cos(th7) + 0.5 * (1.0 * ( + -(1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * sin(th4) + 1.0 * sin(th2) * cos( + th1) * cos(th4)) * cos(th5) * cos(th6) + 1.0 * (1.0 * ( + 1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin(th2) * sin( + th4) * cos(th1)) * sin(th6)) * cos(th7) - (1.0 * ( + -(-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin(th4) - 1.0 * sin( + th1) * sin(th2) * cos(th4)) * cos(th5) * cos(th6) + 1.0 * (1.0 * ( + -1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin( + th1) * sin(th2) * sin(th4)) * sin(th6)) * sin(th7) / 2 - 0.5 * ( + 1.0 * sin(th2) * sin(th4) * cos(th3) + 1.0 * cos(th2) * cos(th4)) * sin(th6) * cos( + th5) - 0.5 * (1.0 * sin(th2) * cos(th3) * cos(th4) - 1.0 * sin(th4) * cos(th2)) * cos(th6)) / isolate( + sqrt(isosqrt(1.0 * (1.0 * (((1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos( + th4) + 1.0 * sin(th2) * sin(th4) * cos(th1)) * cos(th5) + ( + 1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos( + th2)) * sin(th5)) * cos(th6) + 1.0 * (1.0 * ( + 1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * sin(th4) - 1.0 * sin( + th2) * cos(th1) * cos(th4)) * sin(th6)) * cos(th7) - (1.0 * (((-1.0 * sin(th1) * cos(th2) * cos( + th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin(th1) * sin(th2) * sin(th4)) * cos(th5) + ( + 1.0 * sin(th1) * sin( + th3) * cos(th2) + 1.0 * cos( + th1) * cos(th3)) * sin( + th5)) * cos(th6) + 1.0 * (1.0 * ( + -1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin(th4) + 1.0 * sin( + th1) * sin(th2) * cos(th4)) * sin(th6)) * sin(th7) - (-1.0 * ( + (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin( + th2) * sin(th4) * cos(th1)) * sin(th5) + 1.0 * (1.0 * sin(th1) * cos(th3) - 1.0 * sin( + th3) * cos(th1) * cos(th2)) * cos(th5)) * sin(th7) + 1.0 * (1.0 * ( + (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin( + th1) * sin(th2) * sin(th4)) * sin(th5) - 1.0 * (1.0 * sin(th1) * sin(th3) * cos( + th2) + 1.0 * cos(th1) * cos(th3)) * cos(th5)) * cos(th7) - 1.0 * (1.0 * ( + -1.0 * sin(th2) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th2)) * cos(th5) + 1.0 * sin( + th2) * sin(th3) * sin(th5)) * sin(th6) - 1.0 * ( + 1.0 * sin(th2) * sin(th4) * cos(th3) + 1.0 * cos(th2) * cos(th4)) * cos( + th6) + 1))) + , + 0.5 * (0.5 * (-( + (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin(th2) * sin( + th4) * cos(th1)) * sin(th5) + ( + 1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos(th2)) * cos( + th5)) * cos(th6) * cos(th7) - (-1.0 * ( + (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin(th2) * sin( + th4) * cos(th1)) * cos(th5) - 1.0 * (1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos( + th2)) * sin(th5)) * sin(th7) / 2 - 0.5 * (-( + (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin( + th1) * sin(th2) * sin(th4)) * sin(th5) + (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos( + th1) * cos(th3)) * cos(th5)) * sin(th7) * cos(th6) + 0.5 * (1.0 * ( + (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin( + th1) * sin(th2) * sin(th4)) * cos(th5) + 1.0 * (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos( + th1) * cos(th3)) * sin(th5)) * cos(th7) - 0.5 * ( + -1.0 * (-1.0 * sin(th2) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th2)) * sin( + th5) + 1.0 * sin(th2) * sin(th3) * cos(th5)) * sin(th6)) / isolate(sqrt(isosqrt(1.0 * ( + 1.0 * (((1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin( + th2) * sin(th4) * cos(th1)) * cos(th5) + ( + 1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos(th2)) * sin( + th5)) * cos(th6) + 1.0 * (1.0 * (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * sin( + th4) - 1.0 * sin(th2) * cos(th1) * cos(th4)) * sin(th6)) * cos(th7) - (1.0 * (((-1.0 * sin( + th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin(th1) * sin(th2) * sin( + th4)) * cos(th5) + (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos(th1) * cos(th3)) * sin(th5)) * cos( + th6) + 1.0 * (1.0 * (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin( + th4) + 1.0 * sin(th1) * sin(th2) * cos(th4)) * sin(th6)) * sin(th7) - (-1.0 * ( + (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin(th2) * sin( + th4) * cos(th1)) * sin(th5) + 1.0 * (1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos( + th2)) * cos(th5)) * sin(th7) + 1.0 * (1.0 * ( + (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin( + th1) * sin(th2) * sin(th4)) * sin(th5) - 1.0 * (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos( + th1) * cos(th3)) * cos(th5)) * cos(th7) - 1.0 * (1.0 * ( + -1.0 * sin(th2) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th2)) * cos(th5) + 1.0 * sin( + th2) * sin(th3) * sin(th5)) * sin(th6) - 1.0 * (1.0 * sin(th2) * sin(th4) * cos(th3) + 1.0 * cos( + th2) * cos(th4)) * cos(th6) + 1))) + , + 0.5 * (0.5 * (-1.0 * (((1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin( + th2) * sin(th4) * cos(th1)) * cos(th5) + ( + 1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos(th2)) * sin( + th5)) * sin(th6) + 1.0 * (1.0 * (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * sin( + th4) - 1.0 * sin(th2) * cos(th1) * cos(th4)) * cos(th6)) * cos(th7) - (-1.0 * (((-1.0 * sin(th1) * cos( + th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin(th1) * sin(th2) * sin(th4)) * cos( + th5) + (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos(th1) * cos(th3)) * sin(th5)) * sin( + th6) + 1.0 * (1.0 * (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin( + th4) + 1.0 * sin(th1) * sin(th2) * cos(th4)) * cos(th6)) * sin(th7) / 2 - 0.5 * ( + 1.0 * (-1.0 * sin(th2) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th2)) * cos( + th5) + 1.0 * sin(th2) * sin(th3) * sin(th5)) * cos(th6) + 0.5 * ( + 1.0 * sin(th2) * sin(th4) * cos(th3) + 1.0 * cos(th2) * cos(th4)) * sin(th6)) / isolate( + sqrt(isosqrt(1.0 * (1.0 * (((1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos( + th4) + 1.0 * sin(th2) * sin(th4) * cos(th1)) * cos(th5) + ( + 1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos( + th2)) * sin(th5)) * cos(th6) + 1.0 * (1.0 * ( + 1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * sin(th4) - 1.0 * sin( + th2) * cos(th1) * cos(th4)) * sin(th6)) * cos(th7) - (1.0 * (((-1.0 * sin(th1) * cos(th2) * cos( + th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin(th1) * sin(th2) * sin(th4)) * cos(th5) + ( + 1.0 * sin(th1) * sin( + th3) * cos(th2) + 1.0 * cos( + th1) * cos(th3)) * sin( + th5)) * cos(th6) + 1.0 * (1.0 * ( + -1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin(th4) + 1.0 * sin( + th1) * sin(th2) * cos(th4)) * sin(th6)) * sin(th7) - (-1.0 * ( + (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin( + th2) * sin(th4) * cos(th1)) * sin(th5) + 1.0 * (1.0 * sin(th1) * cos(th3) - 1.0 * sin( + th3) * cos(th1) * cos(th2)) * cos(th5)) * sin(th7) + 1.0 * (1.0 * ( + (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin( + th1) * sin(th2) * sin(th4)) * sin(th5) - 1.0 * (1.0 * sin(th1) * sin(th3) * cos( + th2) + 1.0 * cos(th1) * cos(th3)) * cos(th5)) * cos(th7) - 1.0 * (1.0 * ( + -1.0 * sin(th2) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th2)) * cos(th5) + 1.0 * sin( + th2) * sin(th3) * sin(th5)) * sin(th6) - 1.0 * ( + 1.0 * sin(th2) * sin(th4) * cos(th3) + 1.0 * cos(th2) * cos(th4)) * cos( + th6) + 1))) + , + 0.5 * (-0.5 * (1.0 * (((1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin( + th2) * sin(th4) * cos(th1)) * cos(th5) + ( + 1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos(th2)) * sin( + th5)) * cos(th6) + 1.0 * (1.0 * (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * sin( + th4) - 1.0 * sin(th2) * cos(th1) * cos(th4)) * sin(th6)) * sin(th7) - (1.0 * (((-1.0 * sin(th1) * cos( + th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin(th1) * sin(th2) * sin(th4)) * cos( + th5) + (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos(th1) * cos(th3)) * sin(th5)) * cos( + th6) + 1.0 * (1.0 * (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin( + th4) + 1.0 * sin(th1) * sin(th2) * cos(th4)) * sin(th6)) * cos(th7) / 2 - (-1.0 * ( + (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin(th2) * sin( + th4) * cos(th1)) * sin(th5) + 1.0 * (1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos( + th2)) * cos(th5)) * cos(th7) / 2 - 0.5 * (1.0 * ( + (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin( + th1) * sin(th2) * sin(th4)) * sin(th5) - 1.0 * (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos( + th1) * cos(th3)) * cos(th5)) * sin(th7)) / isolate(sqrt(isosqrt(1.0 * (1.0 * (((1.0 * sin(th1) * sin( + th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin(th2) * sin(th4) * cos(th1)) * cos(th5) + ( + 1.0 * sin( + th1) * cos( + th3) - 1.0 * sin( + th3) * cos( + th1) * cos( + th2)) * sin( + th5)) * cos(th6) + 1.0 * (1.0 * (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * sin( + th4) - 1.0 * sin(th2) * cos(th1) * cos(th4)) * sin(th6)) * cos(th7) - (1.0 * (((-1.0 * sin(th1) * cos( + th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin(th1) * sin(th2) * sin(th4)) * cos( + th5) + (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos(th1) * cos(th3)) * sin(th5)) * cos( + th6) + 1.0 * (1.0 * (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin( + th4) + 1.0 * sin(th1) * sin(th2) * cos(th4)) * sin(th6)) * sin(th7) - (-1.0 * ( + (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin(th2) * sin( + th4) * cos(th1)) * sin(th5) + 1.0 * (1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos( + th2)) * cos(th5)) * sin(th7) + 1.0 * (1.0 * ( + (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin( + th1) * sin(th2) * sin(th4)) * sin(th5) - 1.0 * (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos( + th1) * cos(th3)) * cos(th5)) * cos(th7) - 1.0 * (1.0 * ( + -1.0 * sin(th2) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th2)) * cos(th5) + 1.0 * sin( + th2) * sin(th3) * sin(th5)) * sin(th6) - 1.0 * (1.0 * sin(th2) * sin(th4) * cos(th3) + 1.0 * cos( + th2) * cos(th4)) * cos(th6) + 1))) + ] + + ], dtype='float64' + ) + return Jaco + + +def Update_FK(th): + th1 = th[0] + th2 = th[1] + th3 = th[2] + th4 = th[3] + th5 = th[4] + th6 = th[5] + th7 = th[6] + T_FK = np.array([ + [ + -1.0 * (1.0 * (((1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin( + th2) * sin(th4) * cos(th1)) * cos(th5) + ( + 1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos(th2)) * sin( + th5)) * cos(th6) + 1.0 * (1.0 * (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * sin( + th4) - 1.0 * sin(th2) * cos(th1) * cos(th4)) * sin(th6)) * cos(th7) + (-1.0 * ( + (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin(th2) * sin( + th4) * cos(th1)) * sin(th5) + 1.0 * (1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos( + th2)) * cos(th5)) * sin(th7) + , + (1.0 * (((1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin(th2) * sin( + th4) * cos(th1)) * cos(th5) + (1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos(th2)) * sin( + th5)) * cos(th6) + 1.0 * ( + 1.0 * (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * sin(th4) - 1.0 * sin( + th2) * cos(th1) * cos(th4)) * sin(th6)) * sin(th7) + (-1.0 * ( + (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin(th2) * sin( + th4) * cos(th1)) * sin(th5) + 1.0 * (1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos( + th2)) * cos(th5)) * cos(th7) + , + (((1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin(th2) * sin(th4) * cos( + th1)) * cos(th5) + (1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos(th2)) * sin(th5)) * sin( + th6) - 1.0 * (1.0 * (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * sin(th4) - 1.0 * sin( + th2) * cos(th1) * cos(th4)) * cos(th6) + , + -0.1059 * (((1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin(th2) * sin( + th4) * cos(th1)) * cos(th5) + (1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos(th2)) * sin( + th5)) * sin(th6) - 0.076728 * (((1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos( + th4) + 1.0 * sin(th2) * sin(th4) * cos(th1)) * cos(th5) + ( + 1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos( + th2)) * sin(th5)) * cos(th6) - 0.076728 * ( + 1.0 * (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * sin(th4) - 1.0 * sin( + th2) * cos(th1) * cos(th4)) * sin(th6) + 0.1059 * ( + 1.0 * (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * sin(th4) - 1.0 * sin( + th2) * cos(th1) * cos(th4)) * cos(th6) - 0.005 * ( + (1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 1.0 * sin(th2) * sin( + th4) * cos(th1)) * sin(th5) + 0.45669 * ( + 1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * sin(th4) - 0.052254 * ( + 1.0 * sin(th1) * sin(th3) + cos(th1) * cos(th2) * cos(th3)) * cos(th4) + 0.005 * ( + 1.0 * sin(th1) * cos(th3) - 1.0 * sin(th3) * cos(th1) * cos(th2)) * cos(th5) + 0.064454 * sin( + th1) * sin(th3) + 0.0005 * sin(th1) - 0.052254 * sin(th2) * sin(th4) * cos(th1) - 0.45669 * sin( + th2) * cos(th1) * cos(th4) - 0.45889 * sin(th2) * cos(th1) + 0.064454 * cos(th1) * cos(th2) * cos( + th3) + 8.7058e-5 + ], + [ + -1.0 * (1.0 * (((-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin( + th1) * sin(th2) * sin(th4)) * cos(th5) + ( + 1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos(th1) * cos(th3)) * sin( + th5)) * cos(th6) + 1.0 * ( + 1.0 * (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin( + th4) + 1.0 * sin(th1) * sin(th2) * cos(th4)) * sin(th6)) * cos(th7) - 1.0 * (1.0 * ( + (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin( + th1) * sin(th2) * sin(th4)) * sin(th5) - 1.0 * (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos( + th1) * cos(th3)) * cos(th5)) * sin(th7) + , + (1.0 * (((-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin( + th1) * sin(th2) * sin(th4)) * cos(th5) + ( + 1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos(th1) * cos(th3)) * sin(th5)) * cos( + th6) + 1.0 * (1.0 * (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin( + th4) + 1.0 * sin(th1) * sin(th2) * cos(th4)) * sin(th6)) * sin(th7) - 1.0 * (1.0 * ( + (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin( + th1) * sin(th2) * sin(th4)) * sin(th5) - 1.0 * (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos( + th1) * cos(th3)) * cos(th5)) * cos(th7) + , + (((-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin(th1) * sin( + th2) * sin(th4)) * cos(th5) + (1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos(th1) * cos(th3)) * sin( + th5)) * sin(th6) - 1.0 * ( + 1.0 * (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin( + th4) + 1.0 * sin(th1) * sin(th2) * cos(th4)) * cos(th6) + , + -0.1059 * (((-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin( + th1) * sin(th2) * sin(th4)) * cos(th5) + ( + 1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos(th1) * cos(th3)) * sin(th5)) * sin( + th6) - 0.076728 * (((-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos( + th4) - 1.0 * sin(th1) * sin(th2) * sin(th4)) * cos(th5) + ( + 1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos(th1) * cos(th3)) * sin( + th5)) * cos(th6) - 0.076728 * ( + 1.0 * (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin( + th4) + 1.0 * sin(th1) * sin(th2) * cos(th4)) * sin(th6) + 0.1059 * ( + 1.0 * (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin( + th4) + 1.0 * sin(th1) * sin(th2) * cos(th4)) * cos(th6) - 0.005 * ( + (-1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) - 1.0 * sin( + th1) * sin(th2) * sin(th4)) * sin(th5) + 0.005 * ( + 1.0 * sin(th1) * sin(th3) * cos(th2) + 1.0 * cos(th1) * cos(th3)) * cos(th5) + 0.45669 * ( + -1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * sin(th4) - 0.052254 * ( + -1.0 * sin(th1) * cos(th2) * cos(th3) + 1.0 * sin(th3) * cos(th1)) * cos(th4) + 0.052254 * sin( + th1) * sin(th2) * sin(th4) + 0.45669 * sin(th1) * sin(th2) * cos(th4) + 0.45889 * sin(th1) * sin( + th2) - 0.064454 * sin(th1) * cos(th2) * cos(th3) + 0.064454 * sin(th3) * cos(th1) + 0.0005 * cos( + th1) - 0.00063474 + ], + [ + -1.0 * (-1.0 * (1.0 * (-1.0 * sin(th2) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th2)) * cos( + th5) + 1.0 * sin(th2) * sin(th3) * sin(th5)) * cos(th6) + 1.0 * ( + 1.0 * sin(th2) * sin(th4) * cos(th3) + 1.0 * cos(th2) * cos(th4)) * sin(th6)) * cos( + th7) + (1.0 * (-1.0 * sin(th2) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th2)) * sin( + th5) - 1.0 * sin(th2) * sin(th3) * cos(th5)) * sin(th7) + , + (-1.0 * (1.0 * (-1.0 * sin(th2) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th2)) * cos(th5) + 1.0 * sin( + th2) * sin(th3) * sin(th5)) * cos(th6) + 1.0 * ( + 1.0 * sin(th2) * sin(th4) * cos(th3) + 1.0 * cos(th2) * cos(th4)) * sin(th6)) * sin(th7) + ( + 1.0 * (-1.0 * sin(th2) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th2)) * sin( + th5) - 1.0 * sin(th2) * sin(th3) * cos(th5)) * cos(th7) + , + -1.0 * (1.0 * (-1.0 * sin(th2) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th2)) * cos(th5) + 1.0 * sin( + th2) * sin(th3) * sin(th5)) * sin(th6) - 1.0 * ( + 1.0 * sin(th2) * sin(th4) * cos(th3) + 1.0 * cos(th2) * cos(th4)) * cos(th6) + , + 0.1059 * (1.0 * (-1.0 * sin(th2) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th2)) * cos(th5) + 1.0 * sin( + th2) * sin(th3) * sin(th5)) * sin(th6) + 0.076728 * ( + 1.0 * (-1.0 * sin(th2) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th2)) * cos( + th5) + 1.0 * sin(th2) * sin(th3) * sin(th5)) * cos(th6) - 0.076728 * ( + 1.0 * sin(th2) * sin(th4) * cos(th3) + 1.0 * cos(th2) * cos(th4)) * sin(th6) + 0.1059 * ( + 1.0 * sin(th2) * sin(th4) * cos(th3) + 1.0 * cos(th2) * cos(th4)) * cos(th6) + 0.005 * ( + -1.0 * sin(th2) * cos(th3) * cos(th4) + 1.0 * sin(th4) * cos(th2)) * sin(th5) - 0.005 * sin( + th2) * sin(th3) * cos(th5) + 0.45669 * sin(th2) * sin(th4) * cos(th3) - 0.052254 * sin(th2) * cos( + th3) * cos(th4) + 0.064454 * sin(th2) * cos(th3) + 0.052254 * sin(th4) * cos(th2) + 0.45669 * cos( + th2) * cos(th4) + 0.45889 * cos(th2) + 0.29942 + ] + ], dtype='float64') + return T_FK \ No newline at end of file diff --git a/roboimi/utils/KDL_utils/__init__.py b/roboimi/utils/KDL_utils/__init__.py new file mode 100644 index 0000000..b1f2fd7 --- /dev/null +++ b/roboimi/utils/KDL_utils/__init__.py @@ -0,0 +1,4 @@ +from .KDL_main import * +from .KDL_utils import * +from .transform import * + diff --git a/roboimi/utils/KDL_utils/lma_kdl.py b/roboimi/utils/KDL_utils/lma_kdl.py new file mode 100644 index 0000000..3b4740f --- /dev/null +++ b/roboimi/utils/KDL_utils/lma_kdl.py @@ -0,0 +1,242 @@ +import numpy as np +import time +from roboimi.utils.KDL_utils import KDL_utils +from roboimi.utils.gym_wrapper import GymWrapper +from stable_baselines3 import PPO, SAC, TD3 +from stable_baselines3.common.callbacks import BaseCallback +from gym.wrappers import TimeLimit + +# URDF_PATH = "/home/zhouhr/mujoco_diana/roboIMI/roboimi/assets/models/manipulators/DianaMed/DianaMed.urdf" +URDF_PATH = "/home/leeezd/tmp/RoboIMI/roboimi/assets/models/manipulators/DianaMed/DianaMed.urdf" + + +class Lma_hcm(object): + def __init__(self, verbose=False): + self.kin = KDL_utils(URDF_PATH) + self.verbose = verbose + # robot parameters + self.Dof = 7 + self.init_qpos = np.zeros(self.Dof) + self.current_qpos = np.zeros(self.Dof) + self.target_qpos = np.zeros(self.Dof) + + # hyper-params + self.max_episode_steps = 100 + self.eps_phi = 1e-6 + self.lamb = 0.01 # init + self.name = "lma_kdl" + self.v_d = 1.2 # default + self.v_m = 1.2 + + # lma params + self.iter_times = 0 + self.prev_phi = None + + # training params + self.action_dim = (2,) + self.obs_dim = (2,) + self.action_low = np.array([-1.0, 1.0]) + self.action_high = np.array([1.0, 1.0]) + + def setInitQpos(self, qpos: np.array): + self.init_qpos = qpos + self.current_qpos = qpos + + def setTargetQpos(self, qpos: np.array): + self.target_qpos = qpos + + def computeError(self, current_joints): + """ Phi means the error between current pose and target pose, eg. e = Pd - P """ + current_T = self.kin.getEEtf(self.kin.setJntArray(current_joints)) + current_pos = np.array([current_T.p[0], current_T.p[1], current_T.p[2]]) + current_rot = current_T.M + + target_T = self.kin.getEEtf(self.kin.setJntArray(self.target_qpos)) + target_pos = np.array([target_T.p[0], target_T.p[1], target_T.p[2]]) + target_rot = target_T.M + + current_pos_err = target_pos - current_pos + current_rot_err = (target_rot * (current_rot.Inverse())).GetRot() + + err = np.array([current_pos_err[0], current_pos_err[1], current_pos_err[2], + current_rot_err[0], current_rot_err[1], current_rot_err[2]]) + + return err + + def computePhi(self, err): + return err.T @ np.eye(6) @ err + + def computeDelta(self, lamb, qpos, err): + jac = self.kin.setNumpyMat(self.kin.getJac(self.kin.setJntArray(qpos))) + mat = jac.T.dot(jac) + lamb * np.eye(7) + if np.linalg.det(mat) == 0: + raise np.linalg.LinAlgError + inv_mat = np.linalg.inv(mat) + return inv_mat @ jac.T @ err + + def updatePhi(self, lamb): + current_qpos = self.current_qpos.copy() + err = self.computeError(current_qpos) + delta_q = self.computeDelta(lamb, current_qpos, err) + phi = self.computePhi(err) + new_qpos = current_qpos + delta_q + return phi, lamb, new_qpos + + def updateLambda(self): + # phi, lamb, current_qpos = self.update(self.lamb * np.exp(-self.v)) + phi, lamb, qpos = self.updatePhi(self.lamb / (self.v_d + 1e-5)) + if phi - self.prev_phi < self.eps_phi: + return lamb, qpos, phi, True + + phi, lamb, qpos = self.updatePhi(self.lamb) + if phi - self.prev_phi < self.eps_phi: + return lamb, qpos, phi, True + + # phi, lamb, qpos = self.update(self.lamb * np.exp(self.v)) + phi, lamb, qpos = self.updatePhi(self.lamb * self.v_m) + if phi - self.prev_phi < self.eps_phi: + return lamb, qpos, phi, True + # success = False + # while phi - self.prev_phi >= 0: + # _phi, _lamb, _qpos = self.updatePhi(lamb * self.v_m) + # if phi - self.prev_phi > 0: + # print("lamb:", _lamb) + # break + # phi = _phi + # lamb = _lamb + # qpos = _qpos + # Failure + return self.lamb, self.current_qpos, self.prev_phi, False + + def step(self, action): + """ LMA computation """ + self.iter_times += 1 + self.v_d = (1 / 1 + np.exp(action[0])) * 100 + self.v_m = (1 / 1 + np.exp(action[1])) * 100 + + done = False + reward = 0.0 + + step_start_time = time.time() + self.lamb, self.current_qpos, self.prev_phi, success = self.updateLambda() + step_cost_time = time.time() - step_start_time + + print( + f"times={self.iter_times}, phi={self.prev_phi:.7f}, cost_time={step_cost_time:.5f}. lamb:{self.lamb}") + + # reward += 0.3 * (1 - 1e3 * step_cost_time) if (1 - 1e3 * step_cost_time) >= 0 else 0.0 + reward -= 0.3 * self.iter_times + if self.prev_phi >= 0.1: + reward += 0.5 * (1.0 - 1 * self.prev_phi) + elif 0.1 > self.prev_phi >= 0.01: + reward += 0.5 + (1.0 - 10 * self.prev_phi) + elif 0.01 > self.prev_phi >= 0.001: + reward += 1.5 + (1.0 - 100 * self.prev_phi) + elif 0.001 > self.prev_phi >= 0.0001: + reward += 2.5 + (1.0 - 1000 * self.prev_phi) + elif 0.0001 > self.prev_phi >= 0.00001: + reward += 3.5 + (1.0 - 10000 * self.prev_phi) + elif 0.00001 > self.prev_phi >= 0.000001: + reward += 4.5 + (1.0 - 10000 * self.prev_phi) + else: + # if self.prev_phi <= self.eps_phi: + done = True + reward += 10.0 + + if success is False: + reward = 0 + return self.get_obs(), reward, done, dict() + + def reset(self): + self.setInitQpos(3.14 * np.random.uniform(low=-1.0, high=1.0, size=(7,))) + self.setTargetQpos(3.14 * np.random.uniform(low=-1.0, high=1.0, size=(7,))) + err = self.computeError(self.init_qpos) + self.prev_phi = self.computePhi(err) + self.iter_times = 0 + self.lamb = 0.01 + print("=====================================new episode==================================") + if self.verbose: + print("init phi =", self.prev_phi) + print("init qpos =", self.init_qpos) + print("goal qpos =", self.target_qpos) + result = self.kin.getEEtf(self.kin.setJntArray(self.current_qpos)) + target = self.kin.getEEtf(self.kin.setJntArray(self.target_qpos)) + print("init T =", result) + print("goal T =", target) + return self.get_obs() + + def get_obs(self): + obs = np.zeros(self.obs_dim) + obs[0] = np.array([self.prev_phi], dtype=np.float32) + obs[1] = np.array([self.lamb], dtype=np.float32) + # obs[1:8] = self.current_qpos + # obs[8:15] = self.target_qpos + return obs + + +def run_test(): + env = Lma_hcm(verbose=False) + env.reset() + for n_steps in range(int(1e6)): + a = np.array([0.5, 0.1]) + s_, r, d, _ = env.step(a) + # print(r, d) + if d or env.iter_times % env.max_ep_steps == 0: + if env.verbose: + result = env.kin.getEEtf(env.kin.setJntArray(env.current_qpos)) + target = env.kin.getEEtf(env.kin.setJntArray(env.target_qpos)) + print("compute_results =", result) + print("target_T = ", target) + env.reset() + + +def run_train(): + env = Lma_hcm() + env = GymWrapper(env) + env = TimeLimit(env, max_episode_steps=env.env.max_episode_steps) + + # check_env(env) + + class TensorboardCallback(BaseCallback): + """ + Custom callback for plotting additional values in tensorboard. + """ + + def __init__(self, log_dir, verbose=0): + super(TensorboardCallback, self).__init__(verbose) + self.log_dir = log_dir + + def _on_step(self) -> bool: + if self.n_calls % 51200 == 0: + print("Saving new best model") + self.model.save(self.log_dir + f"/model_saved/PPO/LMA_{self.n_calls}") + return True + + log_dir = "log/" + + model = PPO( + policy="MlpPolicy", + env=env, + tensorboard_log=log_dir, + device="cuda", + ) + model.learn(total_timesteps=int(1e7), callback=TensorboardCallback(log_dir=log_dir)) + model.save("lma_rl") + + +def run_play(): + env = Lma_hcm(verbose=False) + model = PPO.load("log/model_saved/PPO_2/LMA_3788800.zip") + obs = env.reset() + for i in range(int(1e6)): + action, _states = model.predict(obs) + obs, reward, done, info = env.step(action) + print("a", action) + if done: + env.reset() + + +if __name__ == '__main__': + # run_test() + run_train() + # run_play() diff --git a/roboimi/utils/KDL_utils/transform.py b/roboimi/utils/KDL_utils/transform.py new file mode 100644 index 0000000..646fc94 --- /dev/null +++ b/roboimi/utils/KDL_utils/transform.py @@ -0,0 +1,181 @@ +import numpy as np +from numpy import sin, cos +import time + + +def euler2Quat(rpy, degrees: bool = False): + """ + degrees:bool + True is the angle value, and False is the radian value + """ + roll = rpy[0] + pitch = rpy[1] + yaw = rpy[2] + if degrees: + roll = np.deg2rad(roll) + pitch = np.deg2rad(pitch) + yaw = np.deg2rad(yaw) + + cy = cos(yaw * 0.5) + sy = sin(yaw * 0.5) + cp = cos(pitch * 0.5) + sp = sin(pitch * 0.5) + cr = cos(roll * 0.5) + sr = sin(roll * 0.5) + + w = cy * cp * cr + sy * sp * sr + x = cy * cp * sr - sy * sp * cr + y = sy * cp * sr + cy * sp * cr + z = sy * cp * cr - cy * sp * sr + + return np.array([x, y, z, w]) + + +def euler2Mat(euler): + """ + Converts euler angles into rotation matrix form + + Args: + euler (np.array): (r,p,y) angles + rad args + + Returns: + np.array: 3x3 rotation matrix + + """ + euler = np.asarray(euler, dtype=np.float64) + assert euler.shape[-1] == 3, "Invalid shaped euler {}".format(euler) + + ai, aj, ak = -euler[..., 2], -euler[..., 1], -euler[..., 0] + si, sj, sk = np.sin(ai), np.sin(aj), np.sin(ak) + ci, cj, ck = np.cos(ai), np.cos(aj), np.cos(ak) + cc, cs = ci * ck, ci * sk + sc, ss = si * ck, si * sk + + mat = np.empty(euler.shape[:-1] + (3, 3), dtype=np.float64) + mat[..., 2, 2] = cj * ck + mat[..., 2, 1] = sj * sc - cs + mat[..., 2, 0] = sj * cc + ss + mat[..., 1, 2] = cj * sk + mat[..., 1, 1] = sj * ss + cc + mat[..., 1, 0] = sj * cs - sc + mat[..., 0, 2] = -sj + mat[..., 0, 1] = cj * si + mat[..., 0, 0] = cj * ci + return mat + + +def quat2Mat(quaternion): + w, x, y, z = quaternion + + norm = np.sqrt(w ** 2 + x ** 2 + y ** 2 + z ** 2) + w /= norm + x /= norm + y /= norm + z /= norm + + r11 = 1 - 2 * y ** 2 - 2 * z ** 2 + r12 = 2 * x * y - 2 * w * z + r13 = 2 * x * z + 2 * w * y + r21 = 2 * x * y + 2 * w * z + r22 = 1 - 2 * x ** 2 - 2 * z ** 2 + r23 = 2 * y * z - 2 * w * x + r31 = 2 * x * z - 2 * w * y + r32 = 2 * y * z + 2 * w * x + r33 = 1 - 2 * x ** 2 - 2 * y ** 2 + + rotation_matrix = np.array([[r11, r12, r13], + [r21, r22, r23], + [r31, r32, r33]]) + + return rotation_matrix + + +def vec2Mat(vec): + ''' + The rotation vector modulus is the angle + Not using the Rodriguez formula + + When calculating the rotation matrix, + it is necessary to normalize the rotation vector into a unit vector, + calculate the four components of the quaternion according to the formula, + and then convert the quaternion into a rotation matrix. + ''' + x = vec[0] + y = vec[1] + z = vec[2] + theta = np.sqrt(x * x + y * y + z * z) + axis = np.array([x, y, z]) / theta + a = np.cos(theta / 2) + b, c, d = -axis * np.sin(theta / 2) + bb, cc, dd = b ** 2, c ** 2, d ** 2 + bc, bd, cd = b * c, b * d, c * d + rotation_matrix = np.array([[a * a + bb - cc - dd, 2 * (bc + a * d), 2 * (bd - a * c)], + [2 * (bc - a * d), a * a + cc - bb - dd, 2 * (cd + a * b)], + [2 * (bd + a * c), 2 * (cd - a * b), a * a + dd - bb - cc]]) + return rotation_matrix + + +def mat2Quat(mat): + trace = np.trace(mat) + if trace > 0: + S = np.sqrt(trace + 1.0) * 2 # S = 4*qw + qw = 0.25 * S + qx = (mat[2, 1] - mat[1, 2]) / S + qy = (mat[0, 2] - mat[2, 0]) / S + qz = (mat[1, 0] - mat[0, 1]) / S + elif mat[0, 0] > mat[1, 1] and mat[0, 0] > mat[2, 2]: + S = np.sqrt(1.0 + mat[0, 0] - mat[1, 1] - mat[2, 2]) * 2 # S = 4*qx + qw = (mat[2, 1] - mat[1, 2]) / S + qx = 0.25 * S + qy = (mat[0, 1] + mat[1, 0]) / S + qz = (mat[0, 2] + mat[2, 0]) / S + elif mat[1, 1] > mat[2, 2]: + S = np.sqrt(1.0 + mat[1, 1] - mat[0, 0] - mat[2, 2]) * 2 # S = 4*qy + qw = (mat[0, 2] - mat[2, 0]) / S + qx = (mat[0, 1] + mat[1, 0]) / S + qy = 0.25 * S + qz = (mat[1, 2] + mat[2, 1]) / S + else: + S = np.sqrt(1.0 + mat[2, 2] - mat[0, 0] - mat[1, 1]) * 2 # S = 4*qz + qw = (mat[1, 0] - mat[0, 1]) / S + qx = (mat[0, 2] + mat[2, 0]) / S + qy = (mat[1, 2] + mat[2, 1]) / S + qz = 0.25 * S + + quaternion = np.array([qw, qx, qy, qz]) #w,x,y,z + return quaternion + + +def makeTransform(pos=None, rot=None) -> np.ndarray: + """ concatenate both 1*3 or 3*1 position array and 3*3 rotation matrix + to a 4*4 transform matrix + + E.g.: + >>> T = makeTransform(np.zeros(3), np.zeros(shape=(3, 3))) + + :param pos: 1*3 position + :param rot: 3*3 rotation + :return: 4*4 transform + """ + pos = np.asarray(pos).reshape(3, 1) + rot = np.asarray(rot) + Trans = np.concatenate([rot, pos], axis=1) + Trans = np.concatenate([Trans, np.array([[0, 0, 0, 1]])], axis=0) + return Trans + +# @jit(nopython=True) +def mat_transpose(mat): + rows = len(mat) + cols = len(mat[0]) + matrix_t = np.zeros(rows*cols).reshape(rows,cols) + # matrix_t = [[0.0000 for _ in range(rows)] for _ in range(cols)] + + + for i in range(rows): + for j in range(cols): + # print(mat[i][j]) + matrix_t[j][i] = mat[i][j] + + return matrix_t + diff --git a/roboimi/utils/KDL_utils/update_jac_GQ.py b/roboimi/utils/KDL_utils/update_jac_GQ.py new file mode 100644 index 0000000..434ee9e --- /dev/null +++ b/roboimi/utils/KDL_utils/update_jac_GQ.py @@ -0,0 +1,141 @@ +import numpy as np +from math import sin,cos,sqrt + +def updateJac(joints): + theta1, theta2, theta3, theta4, theta5, theta6, theta7 = joints + h =([0.077*cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) - 0.065*cos(theta1)*sin(theta3) - 0.459*sin(theta1)*sin(theta2) + 0.1059*sin(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) - 0.1059*cos(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2)) + 0.077*sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2)) - 0.005*sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + 0.0528*cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 0.4574*sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + 0.005*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3)) - 0.4574*cos(theta4)*sin(theta1)*sin(theta2) - 0.0528*sin(theta1)*sin(theta2)*sin(theta4) - 0.065*cos(theta2)*cos(theta3)*sin(theta1), + 0.459*cos(theta1)*cos(theta2) + 0.077*cos(theta6)*(cos(theta5)*(cos(theta1)*cos(theta2)*sin(theta4) + cos(theta1)*cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*cos(theta1)*sin(theta2)*sin(theta3)*sin(theta5)) + 0.1059*sin(theta6)*(cos(theta5)*(cos(theta1)*cos(theta2)*sin(theta4) + cos(theta1)*cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*cos(theta1)*sin(theta2)*sin(theta3)*sin(theta5)) - 0.005*sin(theta5)*(cos(theta1)*cos(theta2)*sin(theta4) + cos(theta1)*cos(theta3)*cos(theta4)*sin(theta2)) + 0.1059*cos(theta6)*(cos(theta1)*cos(theta2)*cos(theta4) - 1.0*cos(theta1)*cos(theta3)*sin(theta2)*sin(theta4)) - 0.077*sin(theta6)*(cos(theta1)*cos(theta2)*cos(theta4) - 1.0*cos(theta1)*cos(theta3)*sin(theta2)*sin(theta4)) + 0.4574*cos(theta1)*cos(theta2)*cos(theta4) - 0.065*cos(theta1)*cos(theta3)*sin(theta2) + 0.0528*cos(theta1)*cos(theta2)*sin(theta4) + 0.0528*cos(theta1)*cos(theta3)*cos(theta4)*sin(theta2) - 0.4574*cos(theta1)*cos(theta3)*sin(theta2)*sin(theta4) - 0.005*cos(theta1)*cos(theta5)*sin(theta2)*sin(theta3), + 0.0528*cos(theta4)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)) - 0.077*cos(theta6)*(sin(theta5)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta4)*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) - 0.1059*sin(theta6)*(sin(theta5)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta4)*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) - 0.065*cos(theta3)*sin(theta1) - 0.4574*sin(theta4)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)) - 0.005*cos(theta5)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 0.005*cos(theta4)*sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)) - 0.1059*cos(theta6)*sin(theta4)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)) + 0.077*sin(theta4)*sin(theta6)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)) - 0.065*cos(theta1)*cos(theta2)*sin(theta3), + 0.077*sin(theta6)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 0.1059*cos(theta6)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + 0.005*sin(theta5)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) - 0.4574*cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 0.0528*sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 0.4574*cos(theta1)*sin(theta2)*sin(theta4) - 0.077*cos(theta5)*cos(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) - 0.1059*cos(theta5)*sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + 0.0528*cos(theta1)*cos(theta4)*sin(theta2), + - 0.077*cos(theta6)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) - 0.1059*sin(theta6)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) - 0.005*cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 0.005*sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)), + 0.077*cos(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + 0.1059*sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + 0.1059*cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) - 0.077*sin(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))), + 0, + 0.065*sin(theta1)*sin(theta3) - 0.459*cos(theta1)*sin(theta2) + 0.005*sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 0.005*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)) + 0.1059*cos(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) - 0.077*sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) - 0.077*cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) - 0.0528*cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 0.1059*sin(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + 0.4574*sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 0.0528*cos(theta1)*sin(theta2)*sin(theta4) - 0.065*cos(theta1)*cos(theta2)*cos(theta3) - 0.4574*cos(theta1)*cos(theta4)*sin(theta2), + 0.005*sin(theta5)*(cos(theta2)*sin(theta1)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta1)*sin(theta2)) - 0.077*cos(theta6)*(cos(theta5)*(cos(theta2)*sin(theta1)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta1)*sin(theta2)) - 1.0*sin(theta1)*sin(theta2)*sin(theta3)*sin(theta5)) - 0.1059*sin(theta6)*(cos(theta5)*(cos(theta2)*sin(theta1)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta1)*sin(theta2)) - 1.0*sin(theta1)*sin(theta2)*sin(theta3)*sin(theta5)) - 0.459*cos(theta2)*sin(theta1) - 0.1059*cos(theta6)*(cos(theta2)*cos(theta4)*sin(theta1) - 1.0*cos(theta3)*sin(theta1)*sin(theta2)*sin(theta4)) + 0.077*sin(theta6)*(cos(theta2)*cos(theta4)*sin(theta1) - 1.0*cos(theta3)*sin(theta1)*sin(theta2)*sin(theta4)) + 0.065*cos(theta3)*sin(theta1)*sin(theta2) - 0.0528*cos(theta2)*sin(theta1)*sin(theta4) - 0.4574*cos(theta2)*cos(theta4)*sin(theta1) - 0.0528*cos(theta3)*cos(theta4)*sin(theta1)*sin(theta2) + 0.4574*cos(theta3)*sin(theta1)*sin(theta2)*sin(theta4) + 0.005*cos(theta5)*sin(theta1)*sin(theta2)*sin(theta3), + 0.0528*cos(theta4)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3)) - 0.077*cos(theta6)*(sin(theta5)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*cos(theta4)*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) - 0.1059*sin(theta6)*(sin(theta5)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*cos(theta4)*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) - 0.005*cos(theta5)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 0.065*cos(theta1)*cos(theta3) - 0.4574*sin(theta4)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3)) + 0.065*cos(theta2)*sin(theta1)*sin(theta3) - 0.005*cos(theta4)*sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3)) - 0.1059*cos(theta6)*sin(theta4)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3)) + 0.077*sin(theta4)*sin(theta6)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3)), + 0.005*sin(theta5)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2)) - 0.1059*cos(theta6)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + 0.077*sin(theta6)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 0.4574*cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 0.0528*sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 0.0528*cos(theta4)*sin(theta1)*sin(theta2) + 0.4574*sin(theta1)*sin(theta2)*sin(theta4) - 0.077*cos(theta5)*cos(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2)) - 0.1059*cos(theta5)*sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2)), + - 0.077*cos(theta6)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) - 0.1059*sin(theta6)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) - 0.005*cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 0.005*sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3)), + 0.1059*cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) - 0.077*sin(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + 0.077*cos(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2)) + 0.1059*sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2)), + 0, + 0, + 0.077*sin(theta6)*(cos(theta4)*sin(theta2) + cos(theta2)*cos(theta3)*sin(theta4)) - 0.065*cos(theta2)*cos(theta3) - 0.4574*cos(theta4)*sin(theta2) - 0.0528*sin(theta2)*sin(theta4) - 0.077*cos(theta6)*(cos(theta5)*(sin(theta2)*sin(theta4) - 1.0*cos(theta2)*cos(theta3)*cos(theta4)) + cos(theta2)*sin(theta3)*sin(theta5)) - 0.1059*sin(theta6)*(cos(theta5)*(sin(theta2)*sin(theta4) - 1.0*cos(theta2)*cos(theta3)*cos(theta4)) + cos(theta2)*sin(theta3)*sin(theta5)) - 0.1059*cos(theta6)*(cos(theta4)*sin(theta2) + cos(theta2)*cos(theta3)*sin(theta4)) - 0.459*sin(theta2) + 0.005*sin(theta5)*(sin(theta2)*sin(theta4) - 1.0*cos(theta2)*cos(theta3)*cos(theta4)) + 0.0528*cos(theta2)*cos(theta3)*cos(theta4) - 0.4574*cos(theta2)*cos(theta3)*sin(theta4) - 0.005*cos(theta2)*cos(theta5)*sin(theta3), + 0.065*sin(theta2)*sin(theta3) - 0.077*cos(theta6)*(cos(theta3)*sin(theta2)*sin(theta5) + cos(theta4)*cos(theta5)*sin(theta2)*sin(theta3)) - 0.1059*sin(theta6)*(cos(theta3)*sin(theta2)*sin(theta5) + cos(theta4)*cos(theta5)*sin(theta2)*sin(theta3)) - 0.0528*cos(theta4)*sin(theta2)*sin(theta3) + 0.4574*sin(theta2)*sin(theta3)*sin(theta4) - 0.005*cos(theta3)*cos(theta5)*sin(theta2) + 0.005*cos(theta4)*sin(theta2)*sin(theta3)*sin(theta5) + 0.1059*cos(theta6)*sin(theta2)*sin(theta3)*sin(theta4) - 0.077*sin(theta2)*sin(theta3)*sin(theta4)*sin(theta6), + 0.0528*cos(theta2)*cos(theta4) - 0.4574*cos(theta2)*sin(theta4) - 0.1059*cos(theta6)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) + 0.077*sin(theta6)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 0.005*sin(theta5)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)) - 0.0528*cos(theta3)*sin(theta2)*sin(theta4) + 0.077*cos(theta5)*cos(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)) + 0.1059*cos(theta5)*sin(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)) - 0.4574*cos(theta3)*cos(theta4)*sin(theta2), + 0.005*sin(theta2)*sin(theta3)*sin(theta5) - 0.1059*sin(theta6)*(sin(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) + cos(theta5)*sin(theta2)*sin(theta3)) - 0.005*cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 0.077*cos(theta6)*(sin(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) + cos(theta5)*sin(theta2)*sin(theta3)), + 0.1059*cos(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 0.077*sin(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 0.077*cos(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)) - 0.1059*sin(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)), + 0, + (0.25*(cos(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + cos(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) + sin(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) - 1.0*sin(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3)))))/(cos(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) - 1.0*sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - 1.0*sin(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) - 1.0*cos(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) - 1.0*sin(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*cos(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)) + 1.0)**(1/2), + (0.25*(sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta2)*sin(theta1)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta1)*sin(theta2)) - 1.0*sin(theta1)*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*sin(theta6)*(cos(theta2)*cos(theta4)*sin(theta1) - 1.0*cos(theta3)*sin(theta1)*sin(theta2)*sin(theta4))) + cos(theta7)*(sin(theta5)*(cos(theta2)*sin(theta1)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta1)*sin(theta2)) + cos(theta5)*sin(theta1)*sin(theta2)*sin(theta3)) + sin(theta6)*(cos(theta5)*(sin(theta2)*sin(theta4) - 1.0*cos(theta2)*cos(theta3)*cos(theta4)) + cos(theta2)*sin(theta3)*sin(theta5)) + 1.0*cos(theta7)*(1.0*cos(theta6)*(cos(theta5)*(cos(theta1)*cos(theta2)*sin(theta4) + cos(theta1)*cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*cos(theta1)*sin(theta2)*sin(theta3)*sin(theta5)) - sin(theta6)*(cos(theta1)*cos(theta2)*cos(theta4) - 1.0*cos(theta1)*cos(theta3)*sin(theta2)*sin(theta4))) + cos(theta6)*(cos(theta4)*sin(theta2) + cos(theta2)*cos(theta3)*sin(theta4)) - 1.0*sin(theta7)*(sin(theta5)*(cos(theta1)*cos(theta2)*sin(theta4) + cos(theta1)*cos(theta3)*cos(theta4)*sin(theta2)) + cos(theta1)*cos(theta5)*sin(theta2)*sin(theta3))))/(cos(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) - 1.0*sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - 1.0*sin(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) - 1.0*cos(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) - 1.0*sin(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*cos(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)) + 1.0)**(1/2), + -(0.25*(cos(theta7)*(cos(theta5)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) - 1.0*sin(theta7)*(cos(theta6)*(sin(theta5)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*cos(theta4)*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) - 1.0*sin(theta4)*sin(theta6)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta7)*(cos(theta5)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta4)*sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) - 1.0*sin(theta6)*(cos(theta3)*sin(theta2)*sin(theta5) + cos(theta4)*cos(theta5)*sin(theta2)*sin(theta3)) + cos(theta7)*(cos(theta6)*(sin(theta5)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta4)*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) - 1.0*sin(theta4)*sin(theta6)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + cos(theta6)*sin(theta2)*sin(theta3)*sin(theta4)))/(cos(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) - 1.0*sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - 1.0*sin(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) - 1.0*cos(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) - 1.0*sin(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*cos(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)) + 1.0)**(1/2), + (0.25*(cos(theta7)*(sin(theta6)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*cos(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2))) + cos(theta6)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta7)*(sin(theta6)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*cos(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) + cos(theta7)*sin(theta5)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2)) + sin(theta5)*sin(theta7)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) - 1.0*cos(theta5)*sin(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4))))/(cos(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) - 1.0*sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - 1.0*sin(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) - 1.0*cos(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) - 1.0*sin(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*cos(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)) + 1.0)**(1/2), + -(0.25*(cos(theta7)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) - 1.0*sin(theta6)*(sin(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) + cos(theta5)*sin(theta2)*sin(theta3)) + sin(theta7)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) - 1.0*cos(theta6)*sin(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + cos(theta6)*cos(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))))/(cos(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) - 1.0*sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - 1.0*sin(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) - 1.0*cos(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) - 1.0*sin(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*cos(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)) + 1.0)**(1/2), + (0.25*(sin(theta7)*(1.0*sin(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) - cos(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) + 1.0*cos(theta7)*(cos(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) - 1.0*sin(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) - cos(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) + 1.0*sin(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4))))/(cos(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) - 1.0*sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - 1.0*sin(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) - 1.0*cos(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) - 1.0*sin(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*cos(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)) + 1.0)**(1/2), + -(0.25*(cos(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + cos(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) + sin(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) - 1.0*sin(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3)))))/(cos(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) - 1.0*sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - 1.0*sin(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) - 1.0*cos(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) - 1.0*sin(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*cos(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)) + 1.0)**(1/2), + dirac(cos(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2)) - 1.0*sin(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + cos(theta7)*(sin(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) + cos(theta5)*sin(theta2)*sin(theta3)) + sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*sin(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4))))*(cos(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) - 1.0*sin(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))))*(sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - 1.0*sin(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + cos(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) + cos(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) + cos(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)) + 1.0)**(1/2) + (0.25*np.sign(cos(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2)) - 1.0*sin(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + cos(theta7)*(sin(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) + cos(theta5)*sin(theta2)*sin(theta3)) + sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*sin(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4))))*(cos(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) - 1.0*cos(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) + sin(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) + sin(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3)))))/(sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - 1.0*sin(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + cos(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) + cos(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) + cos(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)) + 1.0)**(1/2), + (0.25*np.sign(cos(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2)) - 1.0*sin(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + cos(theta7)*(sin(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) + cos(theta5)*sin(theta2)*sin(theta3)) + sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*sin(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4))))*(sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta2)*sin(theta1)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta1)*sin(theta2)) - 1.0*sin(theta1)*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*sin(theta6)*(cos(theta2)*cos(theta4)*sin(theta1) - 1.0*cos(theta3)*sin(theta1)*sin(theta2)*sin(theta4))) + cos(theta7)*(sin(theta5)*(cos(theta2)*sin(theta1)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta1)*sin(theta2)) + cos(theta5)*sin(theta1)*sin(theta2)*sin(theta3)) + sin(theta6)*(cos(theta5)*(sin(theta2)*sin(theta4) - 1.0*cos(theta2)*cos(theta3)*cos(theta4)) + cos(theta2)*sin(theta3)*sin(theta5)) - cos(theta7)*(1.0*cos(theta6)*(cos(theta5)*(cos(theta1)*cos(theta2)*sin(theta4) + cos(theta1)*cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*cos(theta1)*sin(theta2)*sin(theta3)*sin(theta5)) - sin(theta6)*(cos(theta1)*cos(theta2)*cos(theta4) - 1.0*cos(theta1)*cos(theta3)*sin(theta2)*sin(theta4))) + cos(theta6)*(cos(theta4)*sin(theta2) + cos(theta2)*cos(theta3)*sin(theta4)) + sin(theta7)*(sin(theta5)*(cos(theta1)*cos(theta2)*sin(theta4) + cos(theta1)*cos(theta3)*cos(theta4)*sin(theta2)) + cos(theta1)*cos(theta5)*sin(theta2)*sin(theta3))))/(sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - 1.0*sin(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + cos(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) + cos(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) + cos(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)) + 1.0)**(1/2) + 1.0*dirac(cos(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2)) - 1.0*sin(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + cos(theta7)*(sin(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) + cos(theta5)*sin(theta2)*sin(theta3)) + sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*sin(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4))))*(1.0*sin(theta7)*(cos(theta6)*(cos(theta5)*(sin(theta2)*sin(theta4) - 1.0*cos(theta2)*cos(theta3)*cos(theta4)) + cos(theta2)*sin(theta3)*sin(theta5)) - 1.0*sin(theta6)*(cos(theta4)*sin(theta2) + cos(theta2)*cos(theta3)*sin(theta4))) - sin(theta6)*(cos(theta5)*(cos(theta2)*sin(theta1)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta1)*sin(theta2)) - 1.0*sin(theta1)*sin(theta2)*sin(theta3)*sin(theta5)) - cos(theta6)*(cos(theta2)*cos(theta4)*sin(theta1) - 1.0*cos(theta3)*sin(theta1)*sin(theta2)*sin(theta4)) + 1.0*cos(theta7)*(sin(theta5)*(sin(theta2)*sin(theta4) - 1.0*cos(theta2)*cos(theta3)*cos(theta4)) - 1.0*cos(theta2)*cos(theta5)*sin(theta3)))*(sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - 1.0*sin(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + cos(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) + cos(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) + cos(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)) + 1.0)**(1/2), + (0.25*np.sign(cos(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2)) - 1.0*sin(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + cos(theta7)*(sin(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) + cos(theta5)*sin(theta2)*sin(theta3)) + sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*sin(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4))))*(sin(theta7)*(cos(theta6)*(sin(theta5)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*cos(theta4)*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) - 1.0*sin(theta4)*sin(theta6)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) - 1.0*cos(theta7)*(cos(theta5)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta7)*(cos(theta5)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta4)*sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + sin(theta6)*(cos(theta3)*sin(theta2)*sin(theta5) + cos(theta4)*cos(theta5)*sin(theta2)*sin(theta3)) + cos(theta7)*(cos(theta6)*(sin(theta5)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta4)*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) - 1.0*sin(theta4)*sin(theta6)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) - 1.0*cos(theta6)*sin(theta2)*sin(theta3)*sin(theta4)))/(sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - 1.0*sin(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + cos(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) + cos(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) + cos(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)) + 1.0)**(1/2) - 1.0*dirac(cos(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2)) - 1.0*sin(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + cos(theta7)*(sin(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) + cos(theta5)*sin(theta2)*sin(theta3)) + sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*sin(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4))))*(sin(theta6)*(sin(theta5)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*cos(theta4)*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) - 1.0*sin(theta7)*(cos(theta6)*(cos(theta3)*sin(theta2)*sin(theta5) + cos(theta4)*cos(theta5)*sin(theta2)*sin(theta3)) + sin(theta2)*sin(theta3)*sin(theta4)*sin(theta6)) + cos(theta7)*(cos(theta3)*cos(theta5)*sin(theta2) - 1.0*cos(theta4)*sin(theta2)*sin(theta3)*sin(theta5)) + cos(theta6)*sin(theta4)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3)))*(sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - 1.0*sin(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + cos(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) + cos(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) + cos(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)) + 1.0)**(1/2), + - 1.0*dirac(cos(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2)) - 1.0*sin(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + cos(theta7)*(sin(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) + cos(theta5)*sin(theta2)*sin(theta3)) + sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*sin(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4))))*(sin(theta7)*(sin(theta6)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) + cos(theta5)*cos(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4))) + cos(theta6)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + cos(theta5)*sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2)) + cos(theta7)*sin(theta5)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)))*(sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - 1.0*sin(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + cos(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) + cos(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) + cos(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)) + 1.0)**(1/2) - (0.25*np.sign(cos(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2)) - 1.0*sin(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + cos(theta7)*(sin(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) + cos(theta5)*sin(theta2)*sin(theta3)) + sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*sin(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4))))*(cos(theta7)*(sin(theta6)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*cos(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2))) - 1.0*cos(theta6)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) + sin(theta7)*(sin(theta6)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*cos(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - 1.0*cos(theta7)*sin(theta5)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2)) + sin(theta5)*sin(theta7)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta5)*sin(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4))))/(sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - 1.0*sin(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + cos(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) + cos(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) + cos(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)) + 1.0)**(1/2), + (0.25*np.sign(cos(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2)) - 1.0*sin(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + cos(theta7)*(sin(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) + cos(theta5)*sin(theta2)*sin(theta3)) + sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*sin(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4))))*(sin(theta6)*(sin(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) + cos(theta5)*sin(theta2)*sin(theta3)) - 1.0*cos(theta7)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta7)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + cos(theta6)*sin(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + cos(theta6)*cos(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))))/(sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - 1.0*sin(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + cos(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) + cos(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) + cos(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)) + 1.0)**(1/2) - 1.0*dirac(cos(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2)) - 1.0*sin(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + cos(theta7)*(sin(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) + cos(theta5)*sin(theta2)*sin(theta3)) + sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*sin(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4))))*(sin(theta6)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + cos(theta7)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*cos(theta6)*sin(theta7)*(sin(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) + cos(theta5)*sin(theta2)*sin(theta3)))*(sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - 1.0*sin(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + cos(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) + cos(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) + cos(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)) + 1.0)**(1/2), + dirac(cos(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2)) - 1.0*sin(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + cos(theta7)*(sin(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) + cos(theta5)*sin(theta2)*sin(theta3)) + sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*sin(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4))))*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta7)*(sin(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) + cos(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2)))*(sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - 1.0*sin(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + cos(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) + cos(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) + cos(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)) + 1.0)**(1/2) + (0.25*np.sign(cos(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2)) - 1.0*sin(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + cos(theta7)*(sin(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) + cos(theta5)*sin(theta2)*sin(theta3)) + sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*sin(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4))))*(sin(theta7)*(1.0*sin(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) - cos(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - cos(theta7)*(cos(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) - 1.0*sin(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) - cos(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) + 1.0*sin(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4))))/(sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - 1.0*sin(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + cos(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) + cos(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) + cos(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)) + 1.0)**(1/2), + dirac(cos(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2)) - 1.0*sin(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + cos(theta7)*(sin(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) + cos(theta5)*sin(theta2)*sin(theta3)) + sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*sin(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4))))*(sin(theta7)*(sin(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) + cos(theta5)*sin(theta2)*sin(theta3)) - 1.0*cos(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*sin(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4))))*(sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - 1.0*sin(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + cos(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) + cos(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) + cos(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)) + 1.0)**(1/2) + (0.25*np.sign(cos(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2)) - 1.0*sin(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + cos(theta7)*(sin(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) + cos(theta5)*sin(theta2)*sin(theta3)) + sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*sin(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4))))*(cos(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) - 1.0*cos(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) + sin(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) + sin(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3)))))/(sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - 1.0*sin(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + cos(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) + cos(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) + cos(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)) + 1.0)**(1/2), + (0.25*np.sign(sin(theta7)*(sin(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) + cos(theta5)*sin(theta2)*sin(theta3)) - 1.0*cos(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*sin(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4))) + cos(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) - 1.0*sin(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))))*(cos(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) - 1.0*cos(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) + sin(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) + sin(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3)))))/(sin(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) - 1.0*sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - 1.0*cos(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) - 1.0*cos(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) + cos(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)) + 1.0)**(1/2) - dirac(sin(theta7)*(sin(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) + cos(theta5)*sin(theta2)*sin(theta3)) - 1.0*cos(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*sin(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4))) + cos(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) - 1.0*sin(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))))*(1.0*sin(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) - cos(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2)))*(sin(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) - 1.0*sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - 1.0*cos(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) - 1.0*cos(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) + cos(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)) + 1.0)**(1/2), + (0.25*np.sign(sin(theta7)*(sin(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) + cos(theta5)*sin(theta2)*sin(theta3)) - 1.0*cos(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*sin(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4))) + cos(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) - 1.0*sin(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))))*(sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta2)*sin(theta1)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta1)*sin(theta2)) - 1.0*sin(theta1)*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*sin(theta6)*(cos(theta2)*cos(theta4)*sin(theta1) - 1.0*cos(theta3)*sin(theta1)*sin(theta2)*sin(theta4))) + cos(theta7)*(sin(theta5)*(cos(theta2)*sin(theta1)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta1)*sin(theta2)) + cos(theta5)*sin(theta1)*sin(theta2)*sin(theta3)) - 1.0*sin(theta6)*(cos(theta5)*(sin(theta2)*sin(theta4) - 1.0*cos(theta2)*cos(theta3)*cos(theta4)) + cos(theta2)*sin(theta3)*sin(theta5)) - cos(theta7)*(1.0*cos(theta6)*(cos(theta5)*(cos(theta1)*cos(theta2)*sin(theta4) + cos(theta1)*cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*cos(theta1)*sin(theta2)*sin(theta3)*sin(theta5)) - sin(theta6)*(cos(theta1)*cos(theta2)*cos(theta4) - 1.0*cos(theta1)*cos(theta3)*sin(theta2)*sin(theta4))) - 1.0*cos(theta6)*(cos(theta4)*sin(theta2) + cos(theta2)*cos(theta3)*sin(theta4)) + sin(theta7)*(sin(theta5)*(cos(theta1)*cos(theta2)*sin(theta4) + cos(theta1)*cos(theta3)*cos(theta4)*sin(theta2)) + cos(theta1)*cos(theta5)*sin(theta2)*sin(theta3))))/(sin(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) - 1.0*sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - 1.0*cos(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) - 1.0*cos(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) + cos(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)) + 1.0)**(1/2) - 1.0*dirac(sin(theta7)*(sin(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) + cos(theta5)*sin(theta2)*sin(theta3)) - 1.0*cos(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*sin(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4))) + cos(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) - 1.0*sin(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))))*(sin(theta6)*(cos(theta5)*(cos(theta1)*cos(theta2)*sin(theta4) + cos(theta1)*cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*cos(theta1)*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*cos(theta7)*(cos(theta6)*(cos(theta5)*(sin(theta2)*sin(theta4) - 1.0*cos(theta2)*cos(theta3)*cos(theta4)) + cos(theta2)*sin(theta3)*sin(theta5)) - 1.0*sin(theta6)*(cos(theta4)*sin(theta2) + cos(theta2)*cos(theta3)*sin(theta4))) + cos(theta6)*(cos(theta1)*cos(theta2)*cos(theta4) - 1.0*cos(theta1)*cos(theta3)*sin(theta2)*sin(theta4)) + sin(theta7)*(sin(theta5)*(sin(theta2)*sin(theta4) - 1.0*cos(theta2)*cos(theta3)*cos(theta4)) - 1.0*cos(theta2)*cos(theta5)*sin(theta3)))*(sin(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) - 1.0*sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - 1.0*cos(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) - 1.0*cos(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) + cos(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)) + 1.0)**(1/2), + (0.25*np.sign(sin(theta7)*(sin(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) + cos(theta5)*sin(theta2)*sin(theta3)) - 1.0*cos(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*sin(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4))) + cos(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) - 1.0*sin(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))))*(sin(theta7)*(cos(theta6)*(sin(theta5)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*cos(theta4)*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) - 1.0*sin(theta4)*sin(theta6)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) - 1.0*cos(theta7)*(cos(theta5)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta7)*(cos(theta5)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta4)*sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) - 1.0*sin(theta6)*(cos(theta3)*sin(theta2)*sin(theta5) + cos(theta4)*cos(theta5)*sin(theta2)*sin(theta3)) + cos(theta7)*(cos(theta6)*(sin(theta5)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta4)*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) - 1.0*sin(theta4)*sin(theta6)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + cos(theta6)*sin(theta2)*sin(theta3)*sin(theta4)))/(sin(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) - 1.0*sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - 1.0*cos(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) - 1.0*cos(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) + cos(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)) + 1.0)**(1/2) + dirac(sin(theta7)*(sin(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) + cos(theta5)*sin(theta2)*sin(theta3)) - 1.0*cos(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*sin(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4))) + cos(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) - 1.0*sin(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))))*(cos(theta7)*(cos(theta6)*(cos(theta3)*sin(theta2)*sin(theta5) + cos(theta4)*cos(theta5)*sin(theta2)*sin(theta3)) + sin(theta2)*sin(theta3)*sin(theta4)*sin(theta6)) + sin(theta6)*(sin(theta5)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta4)*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + sin(theta7)*(cos(theta3)*cos(theta5)*sin(theta2) - 1.0*cos(theta4)*sin(theta2)*sin(theta3)*sin(theta5)) + cos(theta6)*sin(theta4)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))*(sin(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) - 1.0*sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - 1.0*cos(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) - 1.0*cos(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) + cos(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)) + 1.0)**(1/2), + dirac(sin(theta7)*(sin(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) + cos(theta5)*sin(theta2)*sin(theta3)) - 1.0*cos(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*sin(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4))) + cos(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) - 1.0*sin(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))))*(cos(theta6)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta7)*(sin(theta6)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) + cos(theta5)*cos(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4))) + cos(theta5)*sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + sin(theta5)*sin(theta7)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)))*(sin(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) - 1.0*sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - 1.0*cos(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) - 1.0*cos(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) + cos(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)) + 1.0)**(1/2) - (0.25*np.sign(sin(theta7)*(sin(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) + cos(theta5)*sin(theta2)*sin(theta3)) - 1.0*cos(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*sin(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4))) + cos(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) - 1.0*sin(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))))*(cos(theta7)*(sin(theta6)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*cos(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2))) + cos(theta6)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) + sin(theta7)*(sin(theta6)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*cos(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - 1.0*cos(theta7)*sin(theta5)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2)) + sin(theta5)*sin(theta7)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) - 1.0*cos(theta5)*sin(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4))))/(sin(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) - 1.0*sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - 1.0*cos(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) - 1.0*cos(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) + cos(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)) + 1.0)**(1/2), + dirac(sin(theta7)*(sin(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) + cos(theta5)*sin(theta2)*sin(theta3)) - 1.0*cos(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*sin(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4))) + cos(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) - 1.0*sin(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))))*(sin(theta6)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + sin(theta7)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) + cos(theta6)*cos(theta7)*(sin(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) + cos(theta5)*sin(theta2)*sin(theta3)))*(sin(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) - 1.0*sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - 1.0*cos(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) - 1.0*cos(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) + cos(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)) + 1.0)**(1/2) + (0.25*np.sign(sin(theta7)*(sin(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) + cos(theta5)*sin(theta2)*sin(theta3)) - 1.0*cos(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*sin(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4))) + cos(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) - 1.0*sin(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))))*(sin(theta7)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) - 1.0*sin(theta6)*(sin(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) + cos(theta5)*sin(theta2)*sin(theta3)) - 1.0*cos(theta7)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + cos(theta6)*sin(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + cos(theta6)*cos(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))))/(sin(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) - 1.0*sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - 1.0*cos(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) - 1.0*cos(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) + cos(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)) + 1.0)**(1/2), + (0.25*np.sign(sin(theta7)*(sin(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) + cos(theta5)*sin(theta2)*sin(theta3)) - 1.0*cos(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*sin(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4))) + cos(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) - 1.0*sin(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))))*(sin(theta7)*(1.0*sin(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) - cos(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - cos(theta7)*(cos(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) - 1.0*sin(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) + 1.0*cos(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - sin(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4))))/(sin(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) - 1.0*sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - 1.0*cos(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) - 1.0*cos(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) + cos(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)) + 1.0)**(1/2) - 1.0*dirac(sin(theta7)*(sin(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) + cos(theta5)*sin(theta2)*sin(theta3)) - 1.0*cos(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*sin(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4))) + cos(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) - 1.0*sin(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))))*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) - 1.0*cos(theta7)*(sin(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) + cos(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4))) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))))*(sin(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) - 1.0*sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - 1.0*cos(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) - 1.0*cos(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) + cos(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)) + 1.0)**(1/2), + (0.25*np.sign(sin(theta7)*(sin(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) + cos(theta5)*sin(theta2)*sin(theta3)) - 1.0*cos(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*sin(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4))) + cos(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) - 1.0*sin(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))))*(cos(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) - 1.0*cos(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) + sin(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) + sin(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3)))))/(sin(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) - 1.0*sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - 1.0*cos(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) - 1.0*cos(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) + cos(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)) + 1.0)**(1/2) + dirac(sin(theta7)*(sin(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) + cos(theta5)*sin(theta2)*sin(theta3)) - 1.0*cos(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*sin(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4))) + cos(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) - 1.0*sin(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))))*(cos(theta7)*(sin(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) + cos(theta5)*sin(theta2)*sin(theta3)) + sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*sin(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4))))*(sin(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) - 1.0*sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - 1.0*cos(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) - 1.0*cos(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) + cos(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)) + 1.0)**(1/2), + dirac(cos(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + cos(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) + sin(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) - 1.0*sin(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))))*(sin(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - 1.0*cos(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) + cos(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))))*(sin(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - 1.0*cos(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) + cos(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) - 1.0*sin(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*cos(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)) + 1.0)**(1/2) - (0.25*np.sign(cos(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + cos(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) + sin(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) - 1.0*sin(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))))*(cos(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + cos(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) + sin(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) - 1.0*sin(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3)))))/(sin(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - 1.0*cos(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) + cos(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) - 1.0*sin(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*cos(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)) + 1.0)**(1/2), + dirac(cos(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + cos(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) + sin(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) - 1.0*sin(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))))*(sin(theta7)*(sin(theta5)*(cos(theta2)*sin(theta1)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta1)*sin(theta2)) + cos(theta5)*sin(theta1)*sin(theta2)*sin(theta3)) + 1.0*sin(theta7)*(1.0*cos(theta6)*(cos(theta5)*(cos(theta1)*cos(theta2)*sin(theta4) + cos(theta1)*cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*cos(theta1)*sin(theta2)*sin(theta3)*sin(theta5)) - sin(theta6)*(cos(theta1)*cos(theta2)*cos(theta4) - 1.0*cos(theta1)*cos(theta3)*sin(theta2)*sin(theta4))) + cos(theta7)*(sin(theta5)*(cos(theta1)*cos(theta2)*sin(theta4) + cos(theta1)*cos(theta3)*cos(theta4)*sin(theta2)) + cos(theta1)*cos(theta5)*sin(theta2)*sin(theta3)) - 1.0*cos(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta2)*sin(theta1)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta1)*sin(theta2)) - 1.0*sin(theta1)*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*sin(theta6)*(cos(theta2)*cos(theta4)*sin(theta1) - 1.0*cos(theta3)*sin(theta1)*sin(theta2)*sin(theta4))))*(sin(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - 1.0*cos(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) + cos(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) - 1.0*sin(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*cos(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)) + 1.0)**(1/2) - (0.25*np.sign(cos(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + cos(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) + sin(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) - 1.0*sin(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))))*(1.0*sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta2)*sin(theta1)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta1)*sin(theta2)) - 1.0*sin(theta1)*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*sin(theta6)*(cos(theta2)*cos(theta4)*sin(theta1) - 1.0*cos(theta3)*sin(theta1)*sin(theta2)*sin(theta4))) + 1.0*cos(theta7)*(sin(theta5)*(cos(theta2)*sin(theta1)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta1)*sin(theta2)) + cos(theta5)*sin(theta1)*sin(theta2)*sin(theta3)) - sin(theta6)*(cos(theta5)*(sin(theta2)*sin(theta4) - 1.0*cos(theta2)*cos(theta3)*cos(theta4)) + cos(theta2)*sin(theta3)*sin(theta5)) + cos(theta7)*(1.0*cos(theta6)*(cos(theta5)*(cos(theta1)*cos(theta2)*sin(theta4) + cos(theta1)*cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*cos(theta1)*sin(theta2)*sin(theta3)*sin(theta5)) - sin(theta6)*(cos(theta1)*cos(theta2)*cos(theta4) - 1.0*cos(theta1)*cos(theta3)*sin(theta2)*sin(theta4))) - cos(theta6)*(cos(theta4)*sin(theta2) + cos(theta2)*cos(theta3)*sin(theta4)) - sin(theta7)*(sin(theta5)*(cos(theta1)*cos(theta2)*sin(theta4) + cos(theta1)*cos(theta3)*cos(theta4)*sin(theta2)) + cos(theta1)*cos(theta5)*sin(theta2)*sin(theta3))))/(sin(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - 1.0*cos(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) + cos(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) - 1.0*sin(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*cos(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)) + 1.0)**(1/2), + (0.25*np.sign(cos(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + cos(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) + sin(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) - 1.0*sin(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))))*(cos(theta7)*(cos(theta5)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) - 1.0*sin(theta7)*(cos(theta6)*(sin(theta5)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*cos(theta4)*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) - 1.0*sin(theta4)*sin(theta6)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta7)*(cos(theta5)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta4)*sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + sin(theta6)*(cos(theta3)*sin(theta2)*sin(theta5) + cos(theta4)*cos(theta5)*sin(theta2)*sin(theta3)) + cos(theta7)*(cos(theta6)*(sin(theta5)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta4)*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) - 1.0*sin(theta4)*sin(theta6)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) - 1.0*cos(theta6)*sin(theta2)*sin(theta3)*sin(theta4)))/(sin(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - 1.0*cos(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) + cos(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) - 1.0*sin(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*cos(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)) + 1.0)**(1/2) - 1.0*dirac(cos(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + cos(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) + sin(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) - 1.0*sin(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))))*(cos(theta7)*(cos(theta6)*(sin(theta5)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*cos(theta4)*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) - 1.0*sin(theta4)*sin(theta6)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) - 1.0*cos(theta7)*(cos(theta5)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta4)*sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + sin(theta7)*(cos(theta5)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta7)*(cos(theta6)*(sin(theta5)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta4)*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) - 1.0*sin(theta4)*sin(theta6)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))))*(sin(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - 1.0*cos(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) + cos(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) - 1.0*sin(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*cos(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)) + 1.0)**(1/2), + dirac(cos(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + cos(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) + sin(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) - 1.0*sin(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))))*(sin(theta7)*(sin(theta6)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*cos(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2))) + cos(theta7)*(sin(theta6)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*cos(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) + sin(theta5)*sin(theta7)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2)) - 1.0*cos(theta7)*sin(theta5)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)))*(sin(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - 1.0*cos(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) + cos(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) - 1.0*sin(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*cos(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)) + 1.0)**(1/2) - (0.25*np.sign(cos(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + cos(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) + sin(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) - 1.0*sin(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))))*(cos(theta7)*(sin(theta6)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*cos(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2))) - 1.0*cos(theta6)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta7)*(sin(theta6)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*cos(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) + cos(theta7)*sin(theta5)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2)) + sin(theta5)*sin(theta7)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta5)*sin(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4))))/(sin(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - 1.0*cos(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) + cos(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) - 1.0*sin(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*cos(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)) + 1.0)**(1/2), + (0.25*np.sign(cos(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + cos(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) + sin(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) - 1.0*sin(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))))*(cos(theta7)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) + cos(theta5)*sin(theta2)*sin(theta3)) + sin(theta7)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) - 1.0*cos(theta6)*sin(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + cos(theta6)*cos(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))))/(sin(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - 1.0*cos(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) + cos(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) - 1.0*sin(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*cos(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)) + 1.0)**(1/2) - 1.0*dirac(cos(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + cos(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) + sin(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) - 1.0*sin(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))))*(sin(theta7)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) - 1.0*cos(theta7)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + cos(theta6)*sin(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + cos(theta6)*cos(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))))*(sin(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - 1.0*cos(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) + cos(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) - 1.0*sin(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*cos(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)) + 1.0)**(1/2), + - dirac(cos(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + cos(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) + sin(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) - 1.0*sin(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))))*(cos(theta7)*(1.0*sin(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) - cos(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - sin(theta7)*(cos(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) - 1.0*sin(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))))*(sin(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - 1.0*cos(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) + cos(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) - 1.0*sin(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*cos(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)) + 1.0)**(1/2) - (0.25*np.sign(cos(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + cos(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) + sin(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) - 1.0*sin(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))))*(1.0*sin(theta7)*(1.0*sin(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) - cos(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) + cos(theta7)*(cos(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) - 1.0*sin(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) + cos(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*sin(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4))))/(sin(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - 1.0*cos(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) + cos(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) - 1.0*sin(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*cos(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)) + 1.0)**(1/2), + (0.25*np.sign(cos(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + cos(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) + sin(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) - 1.0*sin(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))))*(cos(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + cos(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) + sin(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) - 1.0*sin(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3)))))/(sin(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - 1.0*cos(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) + cos(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) - 1.0*sin(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*cos(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)) + 1.0)**(1/2) - 1.0*dirac(cos(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + cos(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) + sin(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) - 1.0*sin(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))))*(sin(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - 1.0*cos(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) + cos(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))))*(sin(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - 1.0*cos(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) + cos(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) - 1.0*sin(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*cos(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)) + 1.0)**(1/2)]) + h = np.array(([h[0], h[1], h[2], h[3], h[4], h[5], h[6]], + [h[7], h[8], h[9], h[10], h[11], h[12], h[13]], + [h[14], h[15], h[16], h[17], h[18], h[19], h[20]], + [h[21], h[22], h[23], h[24], h[25], h[26], h[27]], + [h[28], h[29], h[30], h[31], h[32], h[33], h[34]], + [h[35], h[36], h[37], h[38], h[39], h[40], h[41]], + [h[42], h[43], h[44], h[45], h[46], h[47], h[48]])) + + return h +# 脉冲函数 +def dirac(x): + if isinstance(x, (int, float)): + if x == 0: + return float('inf') + else: + return 0 + elif isinstance(x, np.ndarray): + return np.zeros_like(x) + else: + raise ValueError("Unsupported input type. Only int, float, and numpy array are supported.") + +# 正向运动学 +def getTransform(joints : np.array): + # 输入:关节角度 + # 输出:其次旋转矩阵 + theta1 = joints[0] + theta2 = joints[1] + theta3 = joints[2] + theta4 = joints[3] + theta5 = joints[4] + theta6 = joints[5] + theta7 = joints[6] + FK = ([cos(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))) - 1.0*sin(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))), + - 1.0*cos(theta7)*(sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) - 1.0*sin(theta7)*(sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)))), + cos(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) - 1.0*sin(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))), + 0.4591*cos(theta1)*sin(theta2) - 0.065*sin(theta1)*sin(theta3) - 0.005*sin(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + 0.005*cos(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3)) - 0.1059*cos(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + 0.077*sin(theta6)*(sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) - 1.0*cos(theta1)*cos(theta4)*sin(theta2)) + 0.077*cos(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) + 0.0528*cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + 0.1059*sin(theta6)*(cos(theta5)*(cos(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + cos(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta3)*sin(theta1) + cos(theta1)*cos(theta2)*sin(theta3))) - 0.4574*sin(theta4)*(sin(theta1)*sin(theta3) - 1.0*cos(theta1)*cos(theta2)*cos(theta3)) + 0.0528*cos(theta1)*sin(theta2)*sin(theta4) + 0.065*cos(theta1)*cos(theta2)*cos(theta3) + 0.4574*cos(theta1)*cos(theta4)*sin(theta2), + cos(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - 1.0*sin(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))), + - 1.0*sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) + sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2))) - 1.0*cos(theta7)*(sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) - 1.0*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))), + cos(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2)) - 1.0*sin(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))), + 0.077*cos(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) - 0.065*cos(theta1)*sin(theta3) - 0.4591*sin(theta1)*sin(theta2) + 0.1059*sin(theta6)*(cos(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + sin(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3))) - 0.1059*cos(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2)) + 0.077*sin(theta6)*(sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + cos(theta4)*sin(theta1)*sin(theta2)) - 0.005*sin(theta5)*(cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 1.0*sin(theta1)*sin(theta2)*sin(theta4)) + 0.0528*cos(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) - 0.4574*sin(theta4)*(cos(theta1)*sin(theta3) + cos(theta2)*cos(theta3)*sin(theta1)) + 0.005*cos(theta5)*(cos(theta1)*cos(theta3) - 1.0*cos(theta2)*sin(theta1)*sin(theta3)) - 0.4574*cos(theta4)*sin(theta1)*sin(theta2) - 0.0528*sin(theta1)*sin(theta2)*sin(theta4) - 0.065*cos(theta2)*cos(theta3)*sin(theta1), + cos(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*sin(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4))) - 1.0*sin(theta7)*(sin(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) + cos(theta5)*sin(theta2)*sin(theta3)), + - 1.0*cos(theta7)*(sin(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) + cos(theta5)*sin(theta2)*sin(theta3)) - 1.0*sin(theta7)*(cos(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*sin(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4))), + - 1.0*sin(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 1.0*cos(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)), + 0.4591*cos(theta2) + 0.4574*cos(theta2)*cos(theta4) - 0.065*cos(theta3)*sin(theta2) + 0.0528*cos(theta2)*sin(theta4) + 0.077*cos(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) + 0.1059*sin(theta6)*(cos(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) - 1.0*sin(theta2)*sin(theta3)*sin(theta5)) - 0.005*sin(theta5)*(cos(theta2)*sin(theta4) + cos(theta3)*cos(theta4)*sin(theta2)) + 0.1059*cos(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)) - 0.077*sin(theta6)*(cos(theta2)*cos(theta4) - 1.0*cos(theta3)*sin(theta2)*sin(theta4)) - 0.4574*cos(theta3)*sin(theta2)*sin(theta4) - 0.005*cos(theta5)*sin(theta2)*sin(theta3) + 0.0528*cos(theta3)*cos(theta4)*sin(theta2) + 0.29849999999998999555828049778938, + 0, + 0, + 0, + 1.0]) + trans = np.array(([FK[0],FK[1],FK[2],FK[3]], + [FK[4],FK[5],FK[6],FK[7]], + [FK[8],FK[9],FK[10],FK[11]], + [FK[12],FK[13],FK[14],FK[15]])) + return trans + +def tform2quat(T): + # 提取旋转矩阵部分 + rotmat = T[:3, :3] + trace = np.trace(rotmat) + + if trace > 0: + S = sqrt(trace + 1.0) * 2 + qw = 0.25 * S + qx = (rotmat[2, 1] - rotmat[1, 2]) / S + qy = (rotmat[0, 2] - rotmat[2, 0]) / S + qz = (rotmat[1, 0] - rotmat[0, 1]) / S + elif rotmat[0, 0] > rotmat[1, 1] and rotmat[0, 0] > rotmat[2, 2]: + S = sqrt(1.0 + rotmat[0, 0] - rotmat[1, 1] - rotmat[2, 2]) * 2 + qw = (rotmat[2, 1] - rotmat[1, 2]) / S + qx = 0.25 * S + qy = (rotmat[0, 1] + rotmat[1, 0]) / S + qz = (rotmat[0, 2] + rotmat[2, 0]) / S + elif rotmat[1, 1] > rotmat[2, 2]: + S = sqrt(1.0 + rotmat[1, 1] - rotmat[0, 0] - rotmat[2, 2]) * 2 + qw = (rotmat[0, 2] - rotmat[2, 0]) / S + qx = (rotmat[0, 1] + rotmat[1, 0]) / S + qy = 0.25 * S + qz = (rotmat[1, 2] + rotmat[2, 1]) / S + else: + S = sqrt(1.0 + rotmat[2, 2] - rotmat[0, 0] - rotmat[1, 1]) * 2 + qw = (rotmat[1, 0] - rotmat[0, 1]) / S + qx = (rotmat[0, 2] + rotmat[2, 0]) / S + qy = (rotmat[1, 2] + rotmat[2, 1]) / S + qz = 0.25 * S + + quat = -np.array([qw, qx, qy, qz]) + + return quat \ No newline at end of file diff --git a/roboimi/utils/PIN_utils/PIN_utils.py b/roboimi/utils/PIN_utils/PIN_utils.py new file mode 100644 index 0000000..eafa8c6 --- /dev/null +++ b/roboimi/utils/PIN_utils/PIN_utils.py @@ -0,0 +1,141 @@ +import os +import numpy as np +import pinocchio as pin +from urdf_parser_py.urdf import URDF +import numpy as np + + +class PIN_utils: + + def __init__(self, + urdf_path=""): + # mesh_dir + mesh_dir = os.path.dirname(os.path.dirname(urdf_path)) + # Load the urdf model + self.model, self.collision_model, self.visual_model = pin.buildModelsFromUrdf(filename=urdf_path, package_dirs=mesh_dir) + # Create data required by the algorithms + self.data = self.model.createData() + + print("PIN init !") + + def getModelNames(self,index): + return self.model.names[index] + + + def forwardKinematics(self, q): + pin.forwardKinematics(self.model, self.data, q) + + def getModelJoints(self,index): + return self.model.joints[index] + + def getJac(self, q): + pin.computeJointJacobians(self.model, self.data, q) + return pin.getJointJacobian(self.model,self.data,7,pin.WORLD) + + def getFrameJac(self,q,frameid): + return pin.computeFrameJacobian(self.model, self.data, q, frameid, pin.WORLD) + + def Jlog6_(self,a): + return pin.Jlog6(a) + + def rpyJac(self,rpy): + return pin.rpy.computeRpyJacobian(rpy,pin.WORLD) + + + def setNumpyArray(self, q): + return np.asarray(q, dtype=np.float32) + + def getInertiaMat(self, q): + _q = self.setNumpyArray(q) + pin.crba(self.model, self.data, _q) + return self.data.M + + + def forwardABADynamics(self, q, v, tau, flex=None): + """ + Compute the forward dynamics with contact constraints + :param q: The joint configuration + :param v: The joint velocity + :param tau:The joint torque vector + :return a: The joint acceleration + """ + if flex is None: + return pin.aba(self.model, self.data, q, v, tau) + else: + return pin.aba(self.model, self.data, q, v, tau, flex) + + def inverseDynamics(self, q, v, a, flex=None): + """ + The Recursive Newton-Euler algorithm. + It computes the inverse dynamics, aka the joint torques according to + the current state of the system and the desired joint accelerations. + :param q: The joint configuration + :param v: The joint velocity + :param a: The joint acceleration + :return tau:The joint torque vector + """ + if flex is None: + return pin.rnea(self.model, self.data, q, v, a) + else: + return pin.rnea(self.model, self.data, q, v, a, flex) + + def getCoriolisMatrix(self, q, v): + pin.computeCoriolisMatrix(self.model, self.data, q, v) + return self.data.C + + def getGravity(self, q): + pin.computeGeneralizedGravity(self.model, self.data, q) + return self.data.g + + + # computeRNEADerivative + def getDtau_dq(self, q, v, a): + pin.computeRNEADerivatives(self.model, self.data, q, v, a) + return self.data.dtau_dq + + def getDtau_dv(self, q, v, a): + pin.computeRNEADerivatives(self.model, self.data, q, v, a) + return self.data.dtau_dv + + # def getD2tau_dqdq(self, q, v, a): + # # !该函数不存在 + # d2tau_dqdq = np.array([0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]) + # d2tau_dvdv = np.array([0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]) + # dtau_dqdv = np.array([0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]) + # dtau_dadq = np.array([0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]) + # pin.ComputeRNEASecondOrderDerivatives(self.model, self.data, q, v, a, d2tau_dqdq, d2tau_dvdv, dtau_dqdv, dtau_dadq) + # return self.d2tau_dqdq + + # computeABADerivatives + def getDdq_dq(self, q, v, tau): + pin.computeABADerivatives(self.model, self.data, q, v, tau) + return self.data.ddq_dq + + def getDdq_dv(self, q, v, tau): + pin.computeABADerivatives(self.model, self.data, q, v, tau) + return self.data.ddq_dv + + def getDdq_dtau(self, q, v, tau): + pin.computeABADerivatives(self.model, self.data, q, v, tau) + return self.data.ddq_dtau + + # computeForwardKinematicsDerivatives + def getDv_dq(self, q, v, a, joint_id): + (dv_dq,dv_dv) = pin.getJointVelocityDerivatives(self.model, self.data, joint_id, pin.ReferenceFrame.WORLD) + return dv_dq + + def getDv_dv(self, q, v, a, joint_id): + (dv_dq,dv_dv) = pin.getJointVelocityDerivatives(self.model, self.data, joint_id, pin.ReferenceFrame.WORLD) + return dv_dv + + def getDa_dq(self, q, v, a, joint_id): + (dv_dq,da_dq,da_dv,da_da) = pin.getJointAccelerationDerivatives(self.model, self.data, joint_id, pin.ReferenceFrame.WORLD) + return da_dq + + def getDa_dv(self, q, v, a, joint_id): + (dv_dq,da_dq,da_dv,da_da) = pin.getJointAccelerationDerivatives(self.model, self.data, joint_id, pin.ReferenceFrame.WORLD) + return da_dv + + def getDa_da(self, q, v, a, joint_id): + (dv_dq,da_dq,da_dv,da_da) = pin.getJointAccelerationDerivatives(self.model, self.data, joint_id, pin.ReferenceFrame.WORLD) + return da_da \ No newline at end of file diff --git a/roboimi/utils/PIN_utils/__init__.py b/roboimi/utils/PIN_utils/__init__.py new file mode 100644 index 0000000..d728e1c --- /dev/null +++ b/roboimi/utils/PIN_utils/__init__.py @@ -0,0 +1,2 @@ +from .PIN_utils import * + diff --git a/roboimi/utils/Slerp.py b/roboimi/utils/Slerp.py new file mode 100644 index 0000000..1a8df09 --- /dev/null +++ b/roboimi/utils/Slerp.py @@ -0,0 +1,37 @@ +import numpy as np +from math import * + + +class MyCustomException(Exception): + pass + + +class Slerp: + def __init__(self, Cart_S, Cart_E, N): + self.Q4_S = self.cart_to_quat(Cart_S) + self.Q4_E = self.cart_to_quat(Cart_E) + self.sita = acos(np.dot(self.Q4_S, self.Q4_E)) + if self.sita < 0: + self.Q4_E = -self.Q4_E + self.N = N + self.stept = 1 / self.N + + def cart_to_quat(self, T): + Q4 = np.array([0.5 * sqrt(T[0, 0] + T[1, 1] + T[2, 2] + 1), + 0.5 * (np.sign(T[2, 1] - T[1, 2])) * sqrt(T[0, 0] - T[1, 1] - T[2, 2] + 1), + 0.5 * (np.sign(T[0, 2] - T[2, 0])) * sqrt(-T[0, 0] + T[1, 1] - T[2, 2] + 1), + 0.5 * (np.sign(T[1, 0] - T[0, 1])) * sqrt(-T[0, 0] - T[1, 1] + T[2, 2] + 1)]) + return Q4 + + def Equal(self, t): + self.Q4_E = ((sin((1 - t) * self.sita)) / sin(self.sita)) * self.Q4_S + ( + (sin((t) * self.sita)) / sin(self.sita)) * self.Q4_E + return self.Q4_E + + def Slerp(self, t): + try: + if t < 1 or t > self.N: + raise MyCustomException + return self.Equal(t * self.stept) + except MyCustomException: + print("your index error!") diff --git a/roboimi/utils/__init__.py b/roboimi/utils/__init__.py new file mode 100644 index 0000000..061182e --- /dev/null +++ b/roboimi/utils/__init__.py @@ -0,0 +1 @@ +from .xml_splice import XMLSplicer as RobotGenerator diff --git a/roboimi/utils/act_ex_utils.py b/roboimi/utils/act_ex_utils.py new file mode 100644 index 0000000..3c1648e --- /dev/null +++ b/roboimi/utils/act_ex_utils.py @@ -0,0 +1,38 @@ +import numpy as np + +def sample_insertion_pose(): + # Peg + x_range = [0.1, 0.2] + y_range = [0.4, 0.6] + z_range = [0.05, 0.05] + + ranges = np.vstack([x_range, y_range, z_range]) + peg_position = np.random.uniform(ranges[:, 0], ranges[:, 1]) + + peg_quat = np.array([1, 0, 0, 0]) + peg_pose = np.concatenate([peg_position, peg_quat]) + + # Socket + x_range = [-0.2, -0.1] + y_range = [0.4, 0.6] + z_range = [0.05, 0.05] + + ranges = np.vstack([x_range, y_range, z_range]) + socket_position = np.random.uniform(ranges[:, 0], ranges[:, 1]) + + socket_quat = np.array([1, 0, 0, 0]) + socket_pose = np.concatenate([socket_position, socket_quat]) + + return peg_pose, socket_pose + +def sample_transfer_pose(): + # Box + x_range = [0.0, 0.05] + y_range = [0.95, 1.05] + z_range = [0.47, 0.47] + + ranges = np.vstack([x_range, y_range, z_range]) + box_position = np.random.uniform(ranges[:, 0], ranges[:, 1]) + + + return box_position \ No newline at end of file diff --git a/roboimi/utils/constants.py b/roboimi/utils/constants.py new file mode 100644 index 0000000..0713b9b --- /dev/null +++ b/roboimi/utils/constants.py @@ -0,0 +1,64 @@ +import pathlib + +### Task parameters + +HOME_PATH = str(pathlib.Path(__file__).parent.resolve()) + +DATASET_DIR = HOME_PATH + '/../demos/dataset' + +CONFIG_DIR = HOME_PATH + '/../demos/config.yaml' + +SIM_TASK_CONFIGS = { + # 'sim_insertion': { + # 'dataset_dir': DATASET_DIR + '/sim_insertion', + # 'num_episodes': 7, + # 'episode_len': 1950, + # 'camera_names': ['top','angle'], + # 'xml_dir': HOME_PATH + '/assets' + # }, + 'sim_transfer': { + 'dataset_dir': DATASET_DIR + '/sim_transfer', + 'num_episodes': 7, + 'episode_len': 700, + 'camera_names': ['angle','r_vis'], + 'xml_dir': HOME_PATH + '/assets' + }, + +} + + +# Left finger position limits (qpos[7]), right_finger = -1 * left_finger +MASTER_GRIPPER_POSITION_OPEN = 0.02417 +MASTER_GRIPPER_POSITION_CLOSE = 0.01244 +PUPPET_GRIPPER_POSITION_OPEN = 0.05800 +PUPPET_GRIPPER_POSITION_CLOSE = 0.01844 + +# Gripper joint limits (qpos[6]) +MASTER_GRIPPER_JOINT_OPEN = 0.3083 +MASTER_GRIPPER_JOINT_CLOSE = -0.6842 +PUPPET_GRIPPER_JOINT_OPEN = 1.4910 +PUPPET_GRIPPER_JOINT_CLOSE = -0.6213 + +############################ Helper functions ############################ + +MASTER_GRIPPER_POSITION_NORMALIZE_FN = lambda x: (x - MASTER_GRIPPER_POSITION_CLOSE) / (MASTER_GRIPPER_POSITION_OPEN - MASTER_GRIPPER_POSITION_CLOSE) +PUPPET_GRIPPER_POSITION_NORMALIZE_FN = lambda x: (x - PUPPET_GRIPPER_POSITION_CLOSE) / (PUPPET_GRIPPER_POSITION_OPEN - PUPPET_GRIPPER_POSITION_CLOSE) +MASTER_GRIPPER_POSITION_UNNORMALIZE_FN = lambda x: x * (MASTER_GRIPPER_POSITION_OPEN - MASTER_GRIPPER_POSITION_CLOSE) + MASTER_GRIPPER_POSITION_CLOSE +PUPPET_GRIPPER_POSITION_UNNORMALIZE_FN = lambda x: x * (PUPPET_GRIPPER_POSITION_OPEN - PUPPET_GRIPPER_POSITION_CLOSE) + PUPPET_GRIPPER_POSITION_CLOSE +MASTER2PUPPET_POSITION_FN = lambda x: PUPPET_GRIPPER_POSITION_UNNORMALIZE_FN(MASTER_GRIPPER_POSITION_NORMALIZE_FN(x)) + +MASTER_GRIPPER_JOINT_NORMALIZE_FN = lambda x: (x - MASTER_GRIPPER_JOINT_CLOSE) / (MASTER_GRIPPER_JOINT_OPEN - MASTER_GRIPPER_JOINT_CLOSE) +PUPPET_GRIPPER_JOINT_NORMALIZE_FN = lambda x: (x - PUPPET_GRIPPER_JOINT_CLOSE) / (PUPPET_GRIPPER_JOINT_OPEN - PUPPET_GRIPPER_JOINT_CLOSE) +MASTER_GRIPPER_JOINT_UNNORMALIZE_FN = lambda x: x * (MASTER_GRIPPER_JOINT_OPEN - MASTER_GRIPPER_JOINT_CLOSE) + MASTER_GRIPPER_JOINT_CLOSE +PUPPET_GRIPPER_JOINT_UNNORMALIZE_FN = lambda x: x * (PUPPET_GRIPPER_JOINT_OPEN - PUPPET_GRIPPER_JOINT_CLOSE) + PUPPET_GRIPPER_JOINT_CLOSE +MASTER2PUPPET_JOINT_FN = lambda x: PUPPET_GRIPPER_JOINT_UNNORMALIZE_FN(MASTER_GRIPPER_JOINT_NORMALIZE_FN(x)) + +MASTER_GRIPPER_VELOCITY_NORMALIZE_FN = lambda x: x / (MASTER_GRIPPER_POSITION_OPEN - MASTER_GRIPPER_POSITION_CLOSE) +PUPPET_GRIPPER_VELOCITY_NORMALIZE_FN = lambda x: x / (PUPPET_GRIPPER_POSITION_OPEN - PUPPET_GRIPPER_POSITION_CLOSE) + +MASTER_POS2JOINT = lambda x: MASTER_GRIPPER_POSITION_NORMALIZE_FN(x) * (MASTER_GRIPPER_JOINT_OPEN - MASTER_GRIPPER_JOINT_CLOSE) + MASTER_GRIPPER_JOINT_CLOSE +MASTER_JOINT2POS = lambda x: MASTER_GRIPPER_POSITION_UNNORMALIZE_FN((x - MASTER_GRIPPER_JOINT_CLOSE) / (MASTER_GRIPPER_JOINT_OPEN - MASTER_GRIPPER_JOINT_CLOSE)) +PUPPET_POS2JOINT = lambda x: PUPPET_GRIPPER_POSITION_NORMALIZE_FN(x) * (PUPPET_GRIPPER_JOINT_OPEN - PUPPET_GRIPPER_JOINT_CLOSE) + PUPPET_GRIPPER_JOINT_CLOSE +PUPPET_JOINT2POS = lambda x: PUPPET_GRIPPER_POSITION_UNNORMALIZE_FN((x - PUPPET_GRIPPER_JOINT_CLOSE) / (PUPPET_GRIPPER_JOINT_OPEN - PUPPET_GRIPPER_JOINT_CLOSE)) + +MASTER_GRIPPER_JOINT_MID = (MASTER_GRIPPER_JOINT_OPEN + MASTER_GRIPPER_JOINT_CLOSE)/2 diff --git a/roboimi/utils/gym_wrapper.py b/roboimi/utils/gym_wrapper.py new file mode 100644 index 0000000..d6065db --- /dev/null +++ b/roboimi/utils/gym_wrapper.py @@ -0,0 +1,29 @@ +import os +import sys + +dir_path = os.path.dirname(os.getcwd()) +sys.path.append(os.path.dirname(dir_path)) + +import numpy as np +import gym +from gym import spaces + + +class GymWrapper(gym.Env): + def __init__(self, env) -> None: + super(GymWrapper, self).__init__() + self.env = env + + self.action_space = spaces.Box(env.action_low, env.action_high, dtype=np.float32) + self.observation_space = spaces.Box(low=-np.inf, high=np.inf, shape=self.env.obs_dim) + self.max_episode_steps = env.max_episode_steps + self.name = env.name + + def step(self, action): + return self.env.step(action) + + def reset(self): + return self.env.reset() + + def render(self, mode="human"): + self.env.render() diff --git a/roboimi/utils/interpolators.py b/roboimi/utils/interpolators.py new file mode 100644 index 0000000..3c43099 --- /dev/null +++ b/roboimi/utils/interpolators.py @@ -0,0 +1,195 @@ +from ruckig import InputParameter, OutputParameter, Result, Ruckig +import numpy as np +import PyKDL as KDL +import matplotlib.pyplot as plt + + +class OTG(object): + def __init__(self, + OTG_Dof=7, + control_cycle=0.001, + max_velocity=0.0, + max_acceleration=0.0, + max_jerk=0.0): + self.OTG_Dof = OTG_Dof + self.control_cycle = control_cycle + self.otg = Ruckig(self.OTG_Dof, self.control_cycle) + + self.inp = InputParameter(self.OTG_Dof) + self.out = OutputParameter(self.OTG_Dof) + + self.max_velocity = max_velocity + self.max_acceleration = max_acceleration + self.max_jerk = max_jerk + + def setOTGParam(self, qpos, qvel): + self.inp.current_position = qpos + self.inp.current_velocity = qvel + self.inp.current_acceleration = np.zeros(7) + + self.inp.target_position = np.zeros(7) + self.inp.target_velocity = np.zeros(7) + self.inp.target_acceleration = np.zeros(7) + + self.inp.max_velocity = self.max_velocity * np.ones(7) + self.inp.max_acceleration = self.max_acceleration * np.ones(7) + self.inp.max_jerk = self.max_jerk * np.ones(7) + + def updateInput(self, action, control_cycle): + self.inp.target_position = action + self.otg = Ruckig(self.OTG_Dof, control_cycle) + + def updateState(self): + self.otg.update(self.inp, self.out) + q_target = self.out.new_position + vel_target = self.out.new_velocity + self.out.pass_to_input(self.inp) + return q_target, vel_target + + +def cartesian_poly5_vel_plan(posa, posb, vel_a, vel_b, acc_a, acc_b, duration): + """ + 输入: + posa: 起始位姿A(KDL::Frame) + posb: 末端位姿A(KDL::Frame) + vel_a: 起始笛卡尔速度(array)(6维) + vel_b: 末端笛卡尔速度(array)(6维) + acc_a: 起始笛卡尔加速度(array)(6维) + acc_b: 末端笛卡尔加速度(array)(6维) + duration: 期望运行时间(s) + 输出: + Trajectory: 类,包含位置(六维XYZRPY,KDL::Frame),速度(6维),加速度(6维) + """ + # Extract positions + posa_xyz = np.array([posa.p[0], posa.p[1], posa.p[2]]) + posb_xyz = np.array([posb.p[0], posb.p[1], posb.p[2]]) + posa_rpy = np.array(posa.M.GetRPY()) + posb_rpy = np.array(posb.M.GetRPY()) + + # Initialize time vector + t = np.linspace(0, duration, 1000) + + # Initialize position, velocity, and acceleration vectors + pos = np.zeros((len(t), 6)) + vel = np.zeros((len(t), 6)) + acc = np.zeros((len(t), 6)) + + # Solve for coefficients of the fifth-degree polynomial + A = np.array([ + [1, 0, 0, 0, 0, 0], + [1, duration, duration ** 2, duration ** 3, duration ** 4, duration ** 5], + [0, 1, 0, 0, 0, 0], + [0, 1, 2 * duration, 3 * duration ** 2, 4 * duration ** 3, 5 * duration ** 4], + [0, 0, 2, 0, 0, 0], + [0, 0, 2, 6 * duration, 12 * duration ** 2, 20 * duration ** 3] + ]) + + b_x = np.array([posa_xyz[0], posb_xyz[0], vel_a[0], vel_b[0], acc_a[0], acc_b[0]]) + b_y = np.array([posa_xyz[1], posb_xyz[1], vel_a[1], vel_b[1], acc_a[1], acc_b[1]]) + b_z = np.array([posa_xyz[2], posb_xyz[2], vel_a[2], vel_b[2], acc_a[2], acc_b[2]]) + b_R = np.array([posa_rpy[0], posb_rpy[0], vel_a[3], vel_b[3], acc_a[3], acc_b[3]]) + b_P = np.array([posa_rpy[1], posb_rpy[1], vel_a[4], vel_b[4], acc_a[4], acc_b[4]]) + b_Y = np.array([posa_rpy[2], posb_rpy[2], vel_a[5], vel_b[5], acc_a[5], acc_b[5]]) + + # Solve for coefficients + c_x = np.linalg.solve(A, b_x) + c_y = np.linalg.solve(A, b_y) + c_z = np.linalg.solve(A, b_z) + c_R = np.linalg.solve(A, b_R) + c_P = np.linalg.solve(A, b_P) + c_Y = np.linalg.solve(A, b_Y) + + # Calculate position, velocity, and acceleration + for i in range(len(t)): + pos[i, 0] = c_x[0] + c_x[1] * t[i] + c_x[2] * t[i] ** 2 + c_x[3] * t[i] ** 3 + c_x[4] * t[i] ** 4 + c_x[5] * t[ + i] ** 5 + pos[i, 1] = c_y[0] + c_y[1] * t[i] + c_y[2] * t[i] ** 2 + c_y[3] * t[i] ** 3 + c_y[4] * t[i] ** 4 + c_y[5] * t[ + i] ** 5 + pos[i, 2] = c_z[0] + c_z[1] * t[i] + c_z[2] * t[i] ** 2 + c_z[3] * t[i] ** 3 + c_z[4] * t[i] ** 4 + c_z[5] * t[ + i] ** 5 + pos[i, 3] = c_R[0] + c_R[1] * t[i] + c_R[2] * t[i] ** 2 + c_R[3] * t[i] ** 3 + c_R[4] * t[i] ** 4 + c_R[5] * t[ + i] ** 5 + pos[i, 4] = c_P[0] + c_P[1] * t[i] + c_P[2] * t[i] ** 2 + c_P[3] * t[i] ** 3 + c_P[4] * t[i] ** 4 + c_P[5] * t[ + i] ** 5 + pos[i, 5] = c_Y[0] + c_Y[1] * t[i] + c_Y[2] * t[i] ** 2 + c_Y[3] * t[i] ** 3 + c_Y[4] * t[i] ** 4 + c_Y[5] * t[ + i] ** 5 + + vel[i, 0] = c_x[1] + 2 * c_x[2] * t[i] + 3 * c_x[3] * t[i] ** 2 + 4 * c_x[4] * t[i] ** 3 + 5 * c_x[5] * t[ + i] ** 4 + vel[i, 1] = c_y[1] + 2 * c_y[2] * t[i] + 3 * c_y[3] * t[i] ** 2 + 4 * c_y[4] * t[i] ** 3 + 5 * c_y[5] * t[ + i] ** 4 + vel[i, 2] = c_z[1] + 2 * c_z[2] * t[i] + 3 * c_z[3] * t[i] ** 2 + 4 * c_z[4] * t[i] ** 3 + 5 * c_z[5] * t[ + i] ** 4 + vel[i, 3] = c_R[1] + 2 * c_R[2] * t[i] + 3 * c_R[3] * t[i] ** 2 + 4 * c_R[4] * t[i] ** 3 + 5 * c_R[5] * t[ + i] ** 4 + vel[i, 4] = c_P[1] + 2 * c_P[2] * t[i] + 3 * c_P[3] * t[i] ** 2 + 4 * c_P[4] * t[i] ** 3 + 5 * c_P[5] * t[ + i] ** 4 + vel[i, 5] = c_Y[1] + 2 * c_Y[2] * t[i] + 3 * c_Y[3] * t[i] ** 2 + 4 * c_Y[4] * t[i] ** 3 + 5 * c_Y[5] * t[ + i] ** 4 + + acc[i, 0] = 2 * c_x[2] + 6 * c_x[3] * t[i] + 12 * c_x[4] * t[i] ** 2 + 20 * c_x[5] * t[i] ** 3 + acc[i, 1] = 2 * c_y[2] + 6 * c_y[3] * t[i] + 12 * c_y[4] * t[i] ** 2 + 20 * c_y[5] * t[i] ** 3 + acc[i, 2] = 2 * c_z[2] + 6 * c_z[3] * t[i] + 12 * c_z[4] * t[i] ** 2 + 20 * c_z[5] * t[i] ** 3 + acc[i, 3] = 2 * c_R[2] + 6 * c_R[3] * t[i] + 12 * c_R[4] * t[i] ** 2 + 20 * c_R[5] * t[i] ** 3 + acc[i, 4] = 2 * c_P[2] + 6 * c_P[3] * t[i] + 12 * c_P[4] * t[i] ** 2 + 20 * c_P[5] * t[i] ** 3 + acc[i, 5] = 2 * c_Y[2] + 6 * c_Y[3] * t[i] + 12 * c_Y[4] * t[i] ** 2 + 20 * c_Y[5] * t[i] ** 3 + + # Return trajectory + return Trajectory(pos, vel, acc, duration) + + +class Trajectory: + def __init__(self, pos, vel, acc, duration): + self.pos_data = pos + self.vel_data = vel + self.acc_data = acc + self.duration = duration + + def pos(self, t): + return self.interpolate(self.pos_data, t) + + def vel(self, t): + return self.interpolate(self.vel_data, t) + + def acc(self, t): + return self.interpolate(self.acc_data, t) + + def interpolate(self, data, t): + # 线性插值计算在给定时间点 t 处的值 + t_normalized = t / self.duration + idx = int(np.floor(t_normalized * (len(data) - 1))) + if idx < len(data) - 1: + t_interp = t_normalized * (len(data) - 1) - idx + return data[idx] + t_interp * (data[idx + 1] - data[idx]) + else: + return data[-1] + + def to_frame(self, t): + pos = self.pos(t) + pos_xyz = pos[:3] + pos_rpy = pos[3:] + pos_frame = KDL.Frame( + KDL.Rotation.RPY(pos_rpy[0], pos_rpy[1], pos_rpy[2]), + KDL.Vector(pos_xyz[0], pos_xyz[1], pos_xyz[2]) + ) + return pos_frame + + +def run_trajectory(): + # 设置起点和终点位置 + posa = KDL.Frame(KDL.Rotation.RPY(0, 0, 0), KDL.Vector(0, 0, 0)) + posb = KDL.Frame(KDL.Rotation.RPY(np.pi / 2, np.pi / 4, np.pi / 8), KDL.Vector(1.5, 2, 2.5)) + vel_a = np.array([0.2, 0.3, 0.1, 0.4, 0.1, 0.1]) + vel_b = np.array([0, 0, 0, 0, 0, 0]) + acc_a = np.array([0.1, 0.1, 0.1, 0.1, 0.1, 0.1]) + acc_b = np.array([0, 0, 0, 0, 0, 0]) + # 设置运行时间 + duration = 2.0 + + # 计算轨迹 + traj = cartesian_poly5_vel_plan(posa, posb, vel_a, vel_b, acc_a, acc_b, duration) + print("目标位置:\n", posb) + print("计算位置:\n", traj.to_frame(traj.duration)) + +# 运行测试程序 +# run_trajectory() diff --git a/roboimi/utils/io_utils.py b/roboimi/utils/io_utils.py new file mode 100644 index 0000000..24c9348 --- /dev/null +++ b/roboimi/utils/io_utils.py @@ -0,0 +1,110 @@ +import os +import pickle +import torch +import matplotlib.pyplot as plt +import numpy as np +import yaml +from einops import rearrange +from roboimi.utils.constants import CONFIG_DIR + +class IOUtils: + @staticmethod + def save_checkpoint(model_state_dict, epoch, ckpt_dir, seed,tag=None,min_val_loss=None): + if tag == 'last': + ckpt_path = f"{ckpt_dir}/policy_last.ckpt" + torch.save(model_state_dict, ckpt_path) + print(f"Last checkpoint saved at {ckpt_path}") + elif tag == 'best': + ckpt_path = f"{ckpt_dir}/policy_best.ckpt" + torch.save(model_state_dict, ckpt_path) + print(f"Best ckpt with val loss {min_val_loss:.6f} at epoch{epoch} saved!") + else: + ckpt_path = f"{ckpt_dir}/checkpoint_epoch_{epoch}_seed_{seed}.ckpt" + torch.save(model_state_dict, ckpt_path) + print(f"Checkpoint saved at {ckpt_path} for epoch {epoch}") + + + @staticmethod + def load_stats(ckpt_dir): + stats_path = os.path.join(ckpt_dir, 'dataset_stats.pkl') + with open(stats_path, 'rb') as f: + return pickle.load(f) + + @staticmethod + def save_results(ckpt_dir, ckpt_name, summary_str, episode_returns, highest_rewards): + result_file_name = 'result_' + ckpt_name.split('.')[0] + '.txt' + with open(os.path.join(ckpt_dir, result_file_name), 'w') as f: + f.write(summary_str) + f.write(repr(episode_returns)) + f.write('\n\n') + f.write(repr(highest_rewards)) + + @staticmethod + def plot_history(train_history, validation_history, num_epochs, ckpt_dir, seed): + for key in train_history[0]: + plot_path = os.path.join(ckpt_dir, f'train_val_{key}_seed_{seed}.png') + plt.figure() + train_values = [summary[key].item() for summary in train_history] + val_values = [summary[key].item() for summary in validation_history] + plt.plot(np.linspace(0, num_epochs-1, len(train_history)), train_values, label='train') + plt.plot(np.linspace(0, num_epochs-1, len(validation_history)), val_values, label='validation') + plt.tight_layout() + plt.legend() + plt.title(key) + plt.savefig(plot_path) + print(f'Saved plots to {ckpt_dir}') + + @staticmethod + def load_config(): + with open(CONFIG_DIR, 'r') as file: + config = yaml.safe_load(file) + return config + + + @staticmethod + def save_stats(ckpt_dir, stats): + stats_path = os.path.join(ckpt_dir, f'dataset_stats.pkl') + with open(stats_path, 'wb') as f: + pickle.dump(stats, f) + + @staticmethod + def load_stats(ckpt_dir): + stats_path = os.path.join(ckpt_dir, 'dataset_stats.pkl') + with open(stats_path, 'rb') as f: + return pickle.load(f) + + + # @staticmethod + # def get_image(ts, camera_names): + # curr_images = [] + # for cam_name in camera_names: + # curr_image = rearrange(ts.observation['images'][cam_name], 'h w c -> c h w') + # curr_images.append(curr_image) + # curr_image = np.stack(curr_images, axis=0) + # curr_image = torch.from_numpy(curr_image / 255.0).float().cuda().unsqueeze(0) + # return curr_image + + # @staticmethod + # def load_data(dataset_dir, num_episodes, camera_names, batch_size, val_batch_size): + # from utils import load_data + # return load_data(dataset_dir, num_episodes, camera_names, batch_size, val_batch_size) + + @staticmethod + def load_policy(config, ckpt_name): + from roboimi.utils.model_interface import ModelInterface + model_interface = ModelInterface(config) + policy = model_interface.make_policy() + ckpt_path = os.path.join(config['ckpt_dir'], ckpt_name) + policy.load_state_dict(torch.load(ckpt_path)) + policy.cuda() + policy.eval() + return policy + + # @staticmethod + # def make_env(config): + # if config['real_robot']: + # from aloha_scripts.real_env import make_real_env + # return make_real_env(init_node=True) + # else: + # from sim_env import make_sim_env + # return make_sim_env(config['task_name']) \ No newline at end of file diff --git a/roboimi/utils/model_interface.py b/roboimi/utils/model_interface.py new file mode 100644 index 0000000..007b0f7 --- /dev/null +++ b/roboimi/utils/model_interface.py @@ -0,0 +1,107 @@ +import os +import torch +from roboimi.utils.utils import load_data, set_seed +from roboimi.detr.policy import ACTPolicy, CNNMLPPolicy,ACTTVPolicy + +class ModelInterface: + def __init__(self, config): + self.config = config + + def setup(self): + set_seed(self.config['seed']) + + self.setup_task_parameters() + self.setup_policy_parameters() + + def setup_task_parameters(self): + is_sim = self.config['task_name'][:4] == 'sim_' #attention here + if is_sim: + from roboimi.utils.constants import SIM_TASK_CONFIGS + task_config = SIM_TASK_CONFIGS[self.config['task_name']] + + self.config['dataset_dir'] = task_config['dataset_dir'] + self.config['num_episodes'] = task_config['num_episodes'] + self.config['episode_len'] = task_config['episode_len'] + self.config['camera_names'] = task_config['camera_names'] + + def setup_policy_parameters(self): + if self.config['policy_class'] == 'ACT': + self.config['policy_config'] = { + 'lr': self.config['lr'], + 'num_queries': self.config['chunk_size'], + 'kl_weight': self.config['kl_weight'], + 'hidden_dim': self.config['hidden_dim'], + 'dim_feedforward': self.config['dim_feedforward'], + 'lr_backbone': self.config['lr_backbone'], + 'backbone': self.config['backbone'], + 'enc_layers': self.config['enc_layers'], + 'dec_layers': self.config['dec_layers'], + 'nheads': self.config['nheads'], + 'camera_names': self.config['camera_names'], + } + elif self.config['policy_class'] == 'ACTTV': + backbone = 'dino_v2' + self.config['policy_config'] = { + 'lr': self.config['lr'], + 'num_queries': self.config['chunk_size'], + 'kl_weight': self.config['kl_weight'], + 'hidden_dim': self.config['hidden_dim'], + 'dim_feedforward': self.config['dim_feedforward'], + 'lr_backbone': self.config['lr_backbone'], + 'backbone': backbone, + 'enc_layers': self.config['enc_layers'], + 'dec_layers': self.config['dec_layers'], + 'nheads': self.config['nheads'], + 'camera_names': self.config['camera_names'], + 'state_dim': 16, + 'action_dim': 16, + 'qpos_noise_std': self.config['qpos_noise_std'], + } + elif self.config['policy_class'] == 'CNNMLP': + self.config['policy_config'] = { + 'lr': self.config['lr'], + 'lr_backbone': self.config['lr_backbone'], + 'backbone': self.config['backbone'], + 'num_queries': 1, + 'camera_names': self.config['camera_names'], + } + else: + raise NotImplementedError + + def make_policy(self): + if self.config['policy_class'] == 'ACT': + return ACTPolicy(self.config['policy_config']) + elif self.config['policy_class'] == 'ACTTV': + return ACTTVPolicy(self.config['policy_config']) + elif self.config['policy_class'] == 'CNNMLP': + return CNNMLPPolicy(self.config['policy_config']) + else: + raise NotImplementedError + + def make_optimizer(self, policy): + return policy.configure_optimizers() + + def load_data(self): + return load_data( + self.config['dataset_dir'], + self.config['num_episodes'], + self.config['camera_names'], + self.config['batch_size'], + self.config['batch_size'] + ) + + def load_policy(self, ckpt_name): + policy = self.make_policy() + ckpt_path = os.path.join(self.config['ckpt_dir'], ckpt_name) + policy.load_state_dict(torch.load(ckpt_path)) + policy.cuda() + policy.eval() + return policy + + # def make_env(self): + # if self.config['real_robot']: + # from aloha_scripts.real_env import make_real_env + # return make_real_env(init_node=True) + # else: + # from sim_env import make_sim_env + # return make_sim_env(self.config['task_name']) \ No newline at end of file diff --git a/roboimi/utils/ompl_base.py b/roboimi/utils/ompl_base.py new file mode 100644 index 0000000..ddf2dab --- /dev/null +++ b/roboimi/utils/ompl_base.py @@ -0,0 +1,91 @@ +import logging + +import numpy as np +from ompl import base as ob +from ompl import geometric as og +from ompl import util as ou + + +class TrajPlanning(object): + def __init__(self, planning_time=1.0, interpolate_num=10, verbose=False) -> None: + # create an SE3 state self.space + self.space = ob.RealVectorStateSpace(6) + + # set lower and upper bounds + bounds = ob.RealVectorBounds(6) + for i in range(6): + bounds.setLow(i, -2) + bounds.setHigh(i, 2) + self.space.setBounds(bounds) + + # create a simple setup object + self.ss = og.SimpleSetup(self.space) + self.ss.setStateValidityChecker(ob.StateValidityCheckerFn(self.isStateValid)) + + # Setup custom planner + self.planner = None + plan_range = 0.5 + self.planning_time = planning_time + self.interpolate_num = interpolate_num + self.set_planner("RRT", plan_range) # RRT by default + + if verbose is False: + ompl_logger = logging.getLogger(ou.__name__) + ompl_logger.setLevel(logging.WARNING) + + def isStateValid(self, state): + # collision detect + return True + + def plan(self, cur_pos, goal_pos, cur_vel, goal_vel=np.zeros(3)): + self.ss.clear() + + start_pos = cur_pos + start_vel = cur_vel + start = ob.State(self.space) + goal = ob.State(self.space) + for i in range(3): + start[i] = start_pos[i] + goal[i] = goal_pos[i] + start[i+3] = start_vel[i] + goal[i+3] = goal_vel[i] + + self.ss.setStartAndGoalStates(start, goal) + + # this will automatically choose a default planner with default parameters + solved = self.ss.solve(self.planning_time) + + res = False + sol_path_list = [] + if solved: + # try to shorten the path + self.ss.simplifySolution() + # print the path to screen + sol_path_geometric = self.ss.getSolutionPath() + # interpolate the path points + sol_path_geometric.interpolate(self.interpolate_num) + + sol_path_states = sol_path_geometric.getStates() + sol_path_list = [self.state_to_list(state) for state in sol_path_states] + # checkout again to ensure points is correct + for sol_path in sol_path_list: + self.isStateValid(sol_path) + res = True + else: + print("No solution found") + return res, sol_path_list + + def state_to_list(self, state): + return [state[i] for i in range(6)] + + def set_planner(self, planner_name, r): + """ + Setup planner. + """ + try: + exec(f'self.planner = og.{planner_name}(self.ss.getSpaceInformation())') + except ValueError: + raise ValueError("Invalid planner_name param.") + finally: + self.planner.setRange(r) + self.ss.setPlanner(self.planner) diff --git a/roboimi/utils/utils.py b/roboimi/utils/utils.py new file mode 100644 index 0000000..94c4ab1 --- /dev/null +++ b/roboimi/utils/utils.py @@ -0,0 +1,185 @@ +import numpy as np +import torch +import os +import h5py +from torch.utils.data import TensorDataset, DataLoader + + +class EpisodicDataset(torch.utils.data.Dataset): + def __init__(self, episode_ids, dataset_dir, camera_names, norm_stats): + super(EpisodicDataset).__init__() + self.episode_ids = episode_ids + self.dataset_dir = dataset_dir + self.camera_names = camera_names + self.norm_stats = norm_stats + self.is_sim = None + self.__getitem__(0) # initialize self.is_sim + + def __len__(self): + return len(self.episode_ids) + + def __getitem__(self, index): + sample_full_episode = False # hardcode + + episode_id = self.episode_ids[index] + dataset_path = os.path.join(self.dataset_dir, f'episode_{episode_id}.hdf5') + with h5py.File(dataset_path, 'r') as root: + is_sim = root.attrs['sim'] + original_action_shape = root['/action'].shape + episode_len = original_action_shape[0] + if sample_full_episode: + start_ts = 0 + else: + start_ts = np.random.choice(episode_len) + # get observation at start_ts only + qpos = root['/observations/qpos'][start_ts] + image_dict = dict() + for cam_name in self.camera_names: + image_dict[cam_name] = root[f'/observations/images/{cam_name}'][start_ts] + # get all actions after and including start_ts + if is_sim: + action = root['/action'][start_ts:] + action_len = episode_len - start_ts + else: + action = root['/action'][max(0, start_ts - 1):] # hack, to make timesteps more aligned + action_len = episode_len - max(0, start_ts - 1) # hack, to make timesteps more aligned + + self.is_sim = is_sim + padded_action = np.zeros(original_action_shape, dtype=np.float32) + padded_action[:action_len] = action + is_pad = np.zeros(episode_len) + is_pad[action_len:] = 1 + + # new axis for different cameras + all_cam_images = [] + for cam_name in self.camera_names: + all_cam_images.append(image_dict[cam_name]) + all_cam_images = np.stack(all_cam_images, axis=0) + + # construct observations + image_data = torch.from_numpy(all_cam_images) + qpos_data = torch.from_numpy(qpos).float() + action_data = torch.from_numpy(padded_action).float() + is_pad = torch.from_numpy(is_pad).bool() + + # channel last + image_data = torch.einsum('k h w c -> k c h w', image_data) + + # normalize image and change dtype to float + image_data = image_data / 255.0 + action_data = (action_data - self.norm_stats["action_mean"]) / self.norm_stats["action_std"] + qpos_data = (qpos_data - self.norm_stats["qpos_mean"]) / self.norm_stats["qpos_std"] + + return image_data, qpos_data, action_data, is_pad + + +def get_norm_stats(dataset_dir, num_episodes): + all_qpos_data = [] + all_action_data = [] + for episode_idx in range(num_episodes): + dataset_path = os.path.join(dataset_dir, f'episode_{episode_idx}.hdf5') + with h5py.File(dataset_path, 'r') as root: + qpos = root['/observations/qpos'][()] + action = root['/action'][()] + all_qpos_data.append(torch.from_numpy(qpos)) + all_action_data.append(torch.from_numpy(action)) + all_qpos_data = torch.stack(all_qpos_data) + all_action_data = torch.stack(all_action_data) + all_action_data = all_action_data + + # normalize action data + action_mean = all_action_data.mean(dim=[0, 1], keepdim=True) + action_std = all_action_data.std(dim=[0, 1], keepdim=True) + action_std = torch.clip(action_std, 1e-2, np.inf) # clipping + + # normalize qpos data + qpos_mean = all_qpos_data.mean(dim=[0, 1], keepdim=True) + qpos_std = all_qpos_data.std(dim=[0, 1], keepdim=True) + qpos_std = torch.clip(qpos_std, 1e-2, np.inf) # clipping + + stats = {"action_mean": action_mean.numpy().squeeze(), "action_std": action_std.numpy().squeeze(), + "qpos_mean": qpos_mean.numpy().squeeze(), "qpos_std": qpos_std.numpy().squeeze(), + "example_qpos": qpos} + + return stats + + +def load_data(dataset_dir, num_episodes, camera_names, batch_size_train, batch_size_val): + print(f'\nData from: {dataset_dir}\n') + # obtain train test split + train_ratio = 0.8 + shuffled_indices = np.random.permutation(num_episodes) + train_indices = shuffled_indices[:int(train_ratio * num_episodes)] + val_indices = shuffled_indices[int(train_ratio * num_episodes):] + + # obtain normalization stats for qpos and action + norm_stats = get_norm_stats(dataset_dir, num_episodes) + + # construct dataset and dataloader + train_dataset = EpisodicDataset(train_indices, dataset_dir, camera_names, norm_stats) + val_dataset = EpisodicDataset(val_indices, dataset_dir, camera_names, norm_stats) + train_dataloader = DataLoader(train_dataset, batch_size=batch_size_train, shuffle=True, pin_memory=True, num_workers=1, prefetch_factor=1) + val_dataloader = DataLoader(val_dataset, batch_size=batch_size_val, shuffle=True, pin_memory=True, num_workers=1, prefetch_factor=1) + + return train_dataloader, val_dataloader, norm_stats, train_dataset.is_sim + + +### env utils + +def sample_box_pose(): + x_range = [0.0, 0.2] + y_range = [0.4, 0.6] + z_range = [0.05, 0.05] + + ranges = np.vstack([x_range, y_range, z_range]) + cube_position = np.random.uniform(ranges[:, 0], ranges[:, 1]) + + cube_quat = np.array([1, 0, 0, 0]) + return np.concatenate([cube_position, cube_quat]) + +def sample_insertion_pose(): + # Peg + x_range = [0.1, 0.2] + y_range = [0.4, 0.6] + z_range = [0.05, 0.05] + + ranges = np.vstack([x_range, y_range, z_range]) + peg_position = np.random.uniform(ranges[:, 0], ranges[:, 1]) + + peg_quat = np.array([1, 0, 0, 0]) + peg_pose = np.concatenate([peg_position, peg_quat]) + + # Socket + x_range = [-0.2, -0.1] + y_range = [0.4, 0.6] + z_range = [0.05, 0.05] + + ranges = np.vstack([x_range, y_range, z_range]) + socket_position = np.random.uniform(ranges[:, 0], ranges[:, 1]) + + socket_quat = np.array([1, 0, 0, 0]) + socket_pose = np.concatenate([socket_position, socket_quat]) + + return peg_pose, socket_pose + +### helper functions + +def compute_dict_mean(epoch_dicts): + result = {k: None for k in epoch_dicts[0]} + num_items = len(epoch_dicts) + for k in result: + value_sum = 0 + for epoch_dict in epoch_dicts: + value_sum += epoch_dict[k] + result[k] = value_sum / num_items + return result + +def detach_dict(d): + new_d = dict() + for k, v in d.items(): + new_d[k] = v.detach() + return new_d + +def set_seed(seed): + torch.manual_seed(seed) + np.random.seed(seed) diff --git a/roboimi/utils/xml_splice.py b/roboimi/utils/xml_splice.py new file mode 100644 index 0000000..234e05a --- /dev/null +++ b/roboimi/utils/xml_splice.py @@ -0,0 +1,298 @@ +import xml.etree.ElementTree as ET +from os import path + +ASSETS_PATH = path.join(path.dirname(path.dirname(__file__)), 'assets') +MODELS_PATH = path.join(ASSETS_PATH, 'models') +CHASSISES_DIR_PATH = path.join(MODELS_PATH, 'chassises') +GRIPPERS_DIR_PATH = path.join(MODELS_PATH, 'grippers') +MANIPULATORS_DIR_PATH = path.join(MODELS_PATH, 'manipulators') +SCENES_DIR_PATH = path.join(ASSETS_PATH, 'scenes') + + +class XMLSplicer: + def __init__(self, + name='robot', + scene='default', + chassis=None, + manipulator=None, + gripper=None, + **kwargs, + ): + self.xml_name = name + self.tree = None + self.root = None + self.splice_robot( + scene=scene, + chassis=chassis, + manipulator=manipulator, + gripper=gripper, + **kwargs, + ) + + def _init_scene(self, scene): + """ + Initialize the scene xml for the given scene file. We build the tree here + as the global tree. Each other node will append to it. + :param scene: xml file path of scene + """ + self.tree = ET.parse(scene) + self.root = self.tree.getroot() + ELEMENTS = ['asset', 'worldbody', 'actuator', 'default', 'contact', 'sensor', 'equality'] + for element in ELEMENTS: + if self.root.find(element) is None: + self.root.append(ET.Element(element)) + else: + for node in self.root.findall(element): + self._file_repath(scene, node) + + def add_component_from_xml(self, xml: str, goal_body: tuple): + """ + For each input xml file, we extract the component we need, and append it into + global tree. + :param xml: xml file path + :param goal_body: goal body, a tuple consist of id and name + """ + if not isinstance(xml, str): + raise ValueError("Please checkout your xml path.") + tree = ET.parse(xml) + root_node = tree.getroot() + # preprocess + self.tag_rename(goal_body[0], root_node) + + # add assets + if root_node.find('asset') is not None: + self._file_repath(xml, root_node.find('asset')) + for asset in root_node.find('asset'): + self.root.find('asset').append(asset) + # add world-body + if root_node.find('worldbody') is not None: + for body in root_node.find('worldbody'): + node = self.root.find(f'.//body[@name=\'{goal_body[1]}\']') + if node is None: + node = self.root.find('worldbody') + node.append(body) + # add actuator + if root_node.find('actuator') is not None: + for actuator in root_node.find('actuator'): + self.root.find('actuator').append(actuator) + # add default + if root_node.find('default') is not None: + for default in root_node.find('default'): + self.root.find('default').append(default) + # add contact + if root_node.find('contact') is not None: + for contact in root_node.find('contact'): + self.root.find('contact').append(contact) + # add sensor + if root_node.find('sensor') is not None: + for sensor in root_node.find('sensor'): + self.root.find('sensor').append(sensor) + # add equality + if root_node.find('equality') is not None: + for equality in root_node.find('equality'): + self.root.find('equality').append(equality) + + def _file_repath(self, xml_path, asset_node: ET.Element): + """ Reset file path of the assets to abstract path. + Note all the texture files should put into the texture dict. + :param xml_path: path of specified xml file + :param asset_node: node + """ + for child in asset_node: + if child.tag == 'mesh' and child.attrib['file'] is not None: + child.attrib['file'] = path.join(path.dirname(xml_path), child.attrib['file']) + elif child.tag == 'texture' and 'file' in child.attrib: + child.attrib['file'] = path.join(path.dirname(path.dirname(xml_path)), 'textures', + path.basename(child.attrib['file'])) + + def tag_rename(self, id, node: ET.Element): + for mesh in node.findall('.//mesh[@name]'): + for element in node.findall('.//geom[@mesh=\'{}\']'.format(mesh.attrib['name'])): + element.attrib['mesh'] = '{}_{}'.format(id, element.attrib['mesh']) + mesh.attrib['name'] = '{}_{}'.format(id, mesh.attrib['name']) + + for body in node.findall('.//body[@name]'): + for element in node.findall('.//'): + for key, value in element.attrib.items(): + if value == body.attrib['name'] and key != 'mesh': + element.attrib[key] = '{}_{}'.format(id, element.attrib[key]) + + for default in node.findall('.//default'): + if 'class' in default.attrib: + for geom in node.findall('.//geom'): + if 'class' in geom.attrib and geom.get('class') == default.attrib['class']: + geom.set('class', '{}_{}'.format(id, geom.attrib['class'])) + for body in node.findall('.//body'): + if 'childclass' in body.attrib and body.get('childclass') == default.attrib['class']: + body.set('childclass', '{}_{}'.format(id, body.attrib['childclass'])) + default.set('class', '{}_{}'.format(id, default.attrib['class'])) + + for joint in node.findall('.//joint[@name]'): + target = joint.attrib['name'] + for element in node.findall('.//'): + for key, value in element.attrib.items(): + if value == target: + element.attrib[key] = '{}_{}'.format(id, element.attrib[key]) + + for connect in node.findall('.//connect[@name]'): + for element in node.findall('.//'): + for key, value in element.attrib.items(): + if value == connect.attrib['name']: + element.attrib[key] = '{}_{}'.format(id, element.attrib[key]) + + for site in node.findall('.//site[@name]'): + for element in node.findall('.//'): + for key, value in element.attrib.items(): + if value == site.attrib['name'] and element.tag != 'site': + element.attrib[key] = '{}_{}'.format(id, element.attrib[key]) + site.set('name', '{}_{}'.format(id, site.attrib['name'])) + + for camera in node.findall('.//camera[@name]'): + camera.set('name', '{}_{}'.format(id, camera.attrib['name'])) + + for sensor in node.findall('.//sensor/*[@name]'): + sensor.set('name', '{}_{}'.format(id, sensor.attrib['name'])) + + for actuator in node.findall('.//actuator/*[@name]'): + actuator.set('name', '{}_{}'.format(id, actuator.attrib['name'])) + + def add_node_from_xml(self, xml: str): + parent_element = self.root.find('worldbody').find('body') + + new_tree = ET.parse('/assets/models/manipulators/Bimanual/Bimanual.xml') + new_node = new_tree.getroot().find('worldbody').find('body') + + parent_element.append(new_node) + + def add_node_from_str(self, father_node: str, xml_text: str): + parent_element = self.root.find(father_node) + new_element = ET.fromstring(xml_text) + parent_element.append(new_element) + + def add_texture(self, name: str, type: str, file: str): + parent_element = self.root.find("asset") + texture_element = ET.Element('texture') + texture_element.set('name', name) + texture_element.set('type', type) + texture_element.set('file', file) + parent_element.append(texture_element) + + def add_material(self, name: str, texture: str, texrepeat: str, texuniform: str): + parent_element = self.root.find("asset") + material_element = ET.Element('material') + material_element.set('name', name) + material_element.set('texture', texture) + material_element.set('texrepeat', texrepeat) + material_element.set('texuniform', texuniform) + parent_element.append(material_element) + + def add_mesh(self, name: str, file: str): + parent_element = self.root.find("asset") + mesh_element = ET.Element('mesh') + mesh_element.set('name', name) + mesh_element.set('file', file) + parent_element.append(mesh_element) + + def add_geom(self, node: str, **kwargs): + if node == 'worldbody': + geom_element = self.root.find('worldbody') + else: + geom_element = self.root.find(f'.//body[@name=\'{node}\']') + geom = ET.Element('geom') + for key in kwargs: + geom.set(key, kwargs[key]) + geom_element.append(geom) + + def add_body(self, node: str, **kwargs): + if node == 'worldbody': + body_element = self.root.find('worldbody') + else: + body_element = self.root.find('worldbody').find(node) + body = ET.Element('body') + for key in kwargs: + body.set(key, kwargs[key]) + body_element.append(body) + + def add_joint(self, node: str, **kwargs): + if node == 'worldbody': + joint_element = self.root.find('worldbody') + else: + joint_element = self.root.find(f'.//body[@name=\'{node}\']') + joint = ET.Element('joint') + for key in kwargs: + joint.set(key, kwargs[key]) + joint_element.append(joint) + + def save_xml(self, output_path='../assets'): + """ Save xml file with identity path""" + self.tree.write(path.join(output_path, f"{self.xml_name}.xml")) + + @property + def xml(self, output_path=path.join(path.dirname(__file__), '../assets')): + """ Save xml file and get its path""" + self.save_xml(output_path) + return path.abspath(path.join(output_path, f"{self.xml_name}.xml")) + + def splice_robot(self, scene=None, chassis=None, manipulator=None, gripper=None, **kwargs): + """ + + :param scene: scene name + :param chassis: chassis name + :param manipulator: manipulator name + :param gripper: gripper name + :param kwargs: + """ + if isinstance(scene, str): + if scene.endswith('.xml'): + scene_path = scene + else: + scene_path = path.join(SCENES_DIR_PATH, '{}.xml'.format(scene)) + self._init_scene(scene_path) + else: + raise ValueError("Must has scene.xml to generate the world.") + + if isinstance(chassis, str): + chassis_path = path.join(CHASSISES_DIR_PATH, chassis, '{}.xml'.format(chassis)) + self.add_component_from_xml(chassis_path, goal_body=(0, 'worldbody')) + + if isinstance(manipulator, str): + if manipulator.endswith('.xml'): + manipulator_path = manipulator + else: + manipulator_path = path.join(MANIPULATORS_DIR_PATH, manipulator, '{}.xml'.format(manipulator)) + self.add_component_from_xml(manipulator_path, + goal_body=(0, '0_base_car_link') if chassis is not None else (0, 'worldbody')) + if isinstance(gripper, str): + for goal_body in enumerate(kwargs['g2m_body']): + gripper_path = path.join(GRIPPERS_DIR_PATH, gripper, '{}.xml'.format(gripper)) + self.add_component_from_xml(gripper_path, goal_body=goal_body) + + +if __name__ == "__main__": + BiDianaMed = XMLSplicer( + name='Bidiana', + scene='default', + chassis='Omnidirect', + manipulator='Bimanual', + gripper='robotiq_gripper', + g2m_body=['0_right_link7', '0_left_link7'] + ) + DianaMed = XMLSplicer( + name='diana_omni', + scene='default', + chassis='Omnidirect', + manipulator='DianaMed', + gripper='robotiq_gripper', + g2m_body=['0_link7'] + ) + + DianaGrasping = XMLSplicer( + name='diana_omni_grasping', + scene='grasping', + chassis='Omnidirect', + manipulator='DianaMed', + gripper='robotiq_gripper', + g2m_body=['0_link7'] + ) + print(BiDianaMed.xml) + print(DianaMed.xml) diff --git a/setup.py b/setup.py new file mode 100644 index 0000000..f926f86 --- /dev/null +++ b/setup.py @@ -0,0 +1,20 @@ +from setuptools import setup, find_packages + +setup( + name='roboimi', + packages=[package for package in find_packages() if package.startswith("robosuite")], + version='0.0.2', + author="Zongdao Li, Haoran Zhou, Yichao Huang, Yuhan Zhao, Yang Lu", + author_email="leeeezd0016@outlook.com, jou072@126.com", + description="A simulation framework based mujoco", + url="https://codeup.teambition.com/62219d81e4c44077bd46bffe/RoboIMI/", + python_requires=">=3", + install_requires=[ + 'mujoco>=3.0.1', + 'urdf_parser_py', + 'ruckig~=0.9.2', + ], + extras_require={ + 'interactive': ['gymnasium~=0.29.0', 'scikit-learn~=1.0.2'] + } +)