delete unnecessary files.

README.md

@@ -1,48 +1,42 @@
 ### This repo is for inverse kinematics and verification
 
-In this branch, the qp-based inverse kinematics method is modified as a python class. The user can call it as in `main.py`
+In this branch, the **integrated** inverse kinematics method is packed into one python class **rm75_kinematics** in ``rm75_kinematics.py``. 
 
-Inverse Kinematics (IK) is numerically obtained through quadratic programming (QP).
+The user can call it as in `test1.py`, `test2.py`.
 
-Verification is done with Mujoco simulation.
+How to use
 
-Key specifications:
+```aiignore
-1. Time consumption.
+from  rm75_kinematics import rm75_kinematics
-2. Success rate
+robot_kine = rm75_kinematics(urdf_path='./urdf_rm75/RM75-SCI.urdf',
-3. Minial joint variation.
+                             mesh_dir='./urdf_rm75',
-
+                             tcps=["scissor_tcp", "camera_tcp"],
-Next:\
+                             tools_in_ee=tools_in_ee,min_j=lb, max_j=ub)
-Comparison with Realman official IK method.
-Embedded with current demo.
-
-
-### Comparison (05June2026):
-
-- With current dual arm joint limit, 
 ```
-ub = np.array([150.0, 110.0, 170.0,  130, 175.0, 125.0,  179.0])
+
-lb = np.array([-150.0, -30.0, -170.0, -130, -175.0, -125.0,  -179.0])
+Parameter definition:
+
+- urdf_path: the robot description file, ending with `.urdf`.
+- mesh_dir: the robot parts, ending with `.stl`.
+- tcps: the tool central points defined in urdf file, if no, ignore it.
+- tools_in_ee: the installation of different tools attached to the end-effector of the arm (jont7+link7).
+
+
+### Current functions ###
+
+1. `get_ik_result`
+```aiignore
+ret_ik, q = robot_kine.get_ik_result(target_position=[0.2, -0.2 , 0.5 ], 
+                                    target_rpy=[0.2022060487764064, -0.0097962261845583, -0.6518417572686532],
+                                    initial_guess=[0.1] * 7, tool=tool_name)
 ```
-the success rates for **qp-based ik** and **realman Algo ik** are **63%** and **46%**.\
-At least one solver works out the ik, rate = **74%**.
 
-- With realman-75 physical joint limit,
+2. `get_fk_result`
+```aiignore
+p = robot_kine.get_fk_result(joint_angles=q,tool=tool_name)
 ```
-ub = np.array([179.0, 129.0, 179.0, 134, 179.0, 127.0, 359.0])
-lb = -ub
-```
-the success rates for **qp-based ik** and **realman Algo ik** are **76%** and **51%**.\
-At least one solver works out the ik, rate = **84%**.
 
-### update(1st July 2026)
+3. `get_self_collision`
-
+```aiignore
-In each iteration, update optimization formula:
+self_collision_sts = robot_kine.get_self_collision(q)
-
+```
-- new cost item for distance from middle of the joint range. 
-- set up different weight for different joints motion.
-
-<img src="img/optimization.png" alt="Cost" width="400">
-
-<img src="img/cons.png" alt="Cost" width="400">
-
-<img src="img/osqp.png" alt="Cost" width="400">

kine_ctrl/fix_robotics_env.sh

@@ -1,6 +0,0 @@
-#!/bin/bash
-echo "Fixing robotics environment..."
-conda activate coppeliasim
-export PYTHONPATH="/home/zl/miniforge3/envs/coppeliasim/lib/python3.10/site-packages"
-pip install osqp==0.6.2.post8 --force-reinstall
-python -c "import osqp; print(f'OSQP version: {osqp.__version__}')"

kine_ctrl/main.py

@@ -1,150 +0,0 @@
-
-
-#   conda activate coppeliasim
-#   env fix, in terminal:  fix_robotics_env.sh
-
-from rm75_kine_qp import KinematicsSolver as kine_qp
-from rm75_kine_rm import rm75_kine_api as kine_rm
-from rm75_mjc import MuJoCoPositionController
-from Robotic_Arm.rm_robot_interface import *
-
-import os
-cwd = os.getcwd()
-
-
-import time
-from math import radians, degrees, pi, cos, sin
-import numpy as np
-
-#   pose expression of tool-tip in end-effector, x y z quatx quaty quatz quatw
-#   load: kg, mass_center_x in ee frame: m, y, z, then last threes are for filling
-tools_in_ee = {
-    'scissor': np.array([[0.0, 0.0, 0.19, 0.0, 0.0, 0.0, 1.0],[0.66, 0.0, 0.0, 0.06, 0.0, 0.0, 0.0]],dtype=np.float64),
-    'omnipic': np.array([[0.0, 0.0, 0.16, 0.0, 0.0, 0.0, 1.0],[0.43, 0.0, 0.0, 0.06, 0.0, 0.0, 0.0]],dtype=np.float64),
-    'minisci': np.array([[0.0, 0.0, 0.19, 0.0, 0.0, 0.0, 1.0],[0.46, 0.0, 0.0, 0.06, 0.0, 0.0, 0.0]],dtype=np.float64),
-    'no_tool': np.array([[0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0],[0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]],dtype=np.float64),
-}
-
-# joint limit
-# ub = np.array([150.0, 110.0, 170.0, 130, 175.0, 125.0, 179.0]) / 180 * pi
-# lb = np.array([-150.0, -30.0, -170.0, -130, -175.0, -125.0, -179.0]) / 180 * pi
-
-
-ub = np.array([179.0, 129.0, 179.0, 134, 179.0, 127.0, 359.0])/180*pi
-lb = -ub
-
-tool_name = "scissor"
-
-def main():
-    """Demonstrate pure position control"""
-
-    # Create controller
-    robot_mjk = MuJoCoPositionController(urdf_path="./urdf_rm75/RM75-SCI.urdf")
-
-
-    #  -----------      rm75 qp based kine          ------------
-    robot_kine_qp = kine_qp(urdf_path='./urdf_rm75/RM75-SCI.urdf', mesh_dir='./urdf_rm75', tcps=["scissor_tcp", "camera_tcp"])
-    robot_kine_qp.add_tool_frames(tools_in_ee)
-    robot_kine_qp.cfg_j_limit(min_j=lb, max_j=ub, rad_flag=True)
-
-    fp = robot_kine_qp.forward_kinematics(np.ones(7)*0.3,tool='scissor_tcp')
-    print(f'forward kine res = {fp}')
-    ret_qp, q = robot_kine_qp.inverse_kinematics(target_position=fp[0:3], target_rpy=fp[3:6], initial_guess=np.zeros(7),
-                                     tool='scissor_tcp')
-
-
-    #   ----------      rm75 official algorithm         -----------
-    robot_kine_rm = kine_rm()
-    robot_kine_rm.add_tool_frames(tools_in_ee)
-    robot_kine_rm.cfg_j_limit(min_j=lb, max_j=ub, rad_flag=True)
-
-    ret_rm, q = robot_kine_rm.inverse_kinematics(target_position=[-0.6, -0.6 , 0. ], target_rpy=[1.2022060487764064, -1.0097962261845583, -0.6518417572686532],
-                                                 initial_guess=[0.1] * 7, tool="no_tool")
-
-    print(f'ret_rm = {ret_rm}, q = {q}')
-    pose = robot_kine_rm.forward_kinematics(joint_angles=q, tool="no_tool")
-    print(f'pose = {pose}')
-    print('-'*100)
-
-
-
-
-
-#   --------------  for comparison   ----------------
-    print(f'in the comparison part')
-
-    if True:
-
-        result = np.array([[0,0],[0,0]], dtype=np.int32)        # to collect ik result   qp_fk, qp_ik, rm_fk, rm_ik
-
-        solve_sum = 0
-
-        for i in range(10):
-            print(f'\n-------------- in i = {i} ----------------')
-            joint_rand = np.random.uniform(ub, lb)
-            print(f'the predefined joints are {joint_rand}')
-
-            #   -------------- fk ------------------
-            fk_qp_p1 = robot_kine_qp.forward_kinematics(joint_angles=joint_rand.tolist(), tool=tool_name)
-
-            fk_rm_p1 = robot_kine_rm.forward_kinematics(joint_angles=joint_rand.tolist(), tool=tool_name)
-
-            d_fk = cal_pose_deviation(pose1=fk_rm_p1, pose2=fk_qp_p1)
-            print(f'fk_qp_p1 = {fk_qp_p1}, fk_rm_p1 = {fk_rm_p1}, d_fk = {d_fk}\n')
-
-
-            #   ----------- ik ----------------
-            t_p = fk_rm_p1
-            joint_rand_init = np.random.uniform(ub, lb)
-            print(f'the guess is {joint_rand_init}')
-
-            ret_qp, q = robot_kine_qp.inverse_kinematics( target_position=t_p[0:3], target_rpy=t_p[3:6], initial_guess=joint_rand_init, tool=tool_name)
-
-            if ret_qp == 0:
-                fk_qp_p2 = robot_kine_qp.forward_kinematics(q, tool=tool_name)
-                d_p_ik = cal_pose_deviation(pose1=t_p, pose2=fk_qp_p2)
-                print(f'---- success, in the qp ik, fk_qp_p2 = {fk_qp_p2}, d_p_ik = {d_p_ik}')
-                robot_kine_qp.collision_detect(q,stop_at_first_collision=True, verbose=True)
-                if d_p_ik < 0.01:
-                    result[0][1] += 1
-
-                # robot_mjk.send_command(q)
-                # robot_mjk.wait_until_reached()
-                # robot_mjk.print_state()
-            else:
-                fk_qp_p2 = robot_kine_qp.forward_kinematics(q, tool=tool_name)
-                d_p_ik = cal_pose_deviation(pose1=t_p, pose2=fk_qp_p2)
-                print(f'---- fail, in the qp ik, fk_qp_p2 = {fk_qp_p2}, d_p_ik = {d_p_ik},q = {q}, ret_qp = {ret_qp}')
-
-            ret_rm, q = robot_kine_rm.inverse_kinematics(target_position=t_p[0:3], target_rpy=t_p[3:6], initial_guess=joint_rand_init, tool=tool_name)
-            if ret_rm == 0:
-                fk_rm_p2 = robot_kine_rm.forward_kinematics(joint_angles=q, tool=tool_name)
-                d_p_ik = cal_pose_deviation(pose1=t_p, pose2=fk_rm_p2)
-                print(f'==== sucess, in the rm ik, fk_rm_p2 = {fk_rm_p2}, d_p_ik = {d_p_ik} ,q = {q}, ret_qp = {ret_rm}')
-                if d_p_ik < 0.01:
-                    result[1][1] += 1
-            else:
-                print(f'==== fail in the rm ik, ret = {ret_rm}, q = {q}')
-
-            if ret_qp == 0 or ret_rm == 0:
-                solve_sum += 1
-
-        print(f'results with qp and rm for ik are {result}')
-        print(f'solve_sum is {solve_sum}')
-    robot_mjk.stop()
-
-
-def cal_pose_deviation(pose1, pose2):
-    d_fk_p1 = np.array(pose1) - np.array(pose2)
-    for j in [3, 4, 5]:
-        while d_fk_p1[j] > pi:
-            d_fk_p1[j] -= 2 * pi
-        while d_fk_p1[j] < -pi:
-            d_fk_p1[j] += 2 * pi
-    d_fk = np.linalg.norm(d_fk_p1)
-    return d_fk
-
-
-
-if __name__ == "__main__":
-    main()

kine_ctrl/requirements.txt

@@ -1,9 +0,0 @@
-numpy
-pandas
-matplotlib
-tqdm
-scipy
-urdfpy
-pin
-osqp
-Robotic_Arm

kine_ctrl/rm75_kine_rm.py

@@ -1,179 +0,0 @@
-
-from Robotic_Arm.rm_robot_interface import *
-import numpy as np
-import math
-
-class rm75_kine_api():
-    def __init__(self):
-        #   ----------      rm75 official algorithm         -----------
-        print(f'-------  the realman official kinematic initialising -------')
-        arm_model = rm_robot_arm_model_e.RM_MODEL_RM_75_E  # RM_75 Robotic arm
-        force_type = rm_force_type_e.RM_MODEL_RM_B_E  # Standard version
-        # Initialize the robotic arm model and sensor type in the algorithm
-        self.robot_kine_rm = Algo(arm_model, force_type)
-
-        self.cfg_j_limit()
-
-        self.work_frames = {
-            'work': rm_frame_t(frame_name="work", pose=(0.0, 0.0, 0.0, 0.0, 0, 0.0), payload=1, x=0, y=0, z=0),
-        }
-
-        self.tool_name = "no_tool"
-        self.work_name = "work"
-
-    def cfg_j_limit(self, min_j=None, max_j=None, rad_flag = True):
-        if max_j is None:
-            max_j = np.array([3.14159, 2.2689, 3.14159, 2.3562, 3.14159, 2.234, 3.14159])
-        if min_j is None:
-            min_j = np.array([ -3.14159, -2.2689, -3.14159, -2.3562, -3.14159, -2.234, -3.14159  ])
-
-        max_j = np.array(max_j)
-        min_j = np.array(min_j)
-        if rad_flag:
-            self.robot_kine_rm.rm_algo_set_joint_max_limit((max_j * 180 / math.pi).tolist())
-            self.robot_kine_rm.rm_algo_set_joint_min_limit((min_j * 180 / math.pi).tolist())
-        else:
-            self.robot_kine_rm.rm_algo_set_joint_max_limit(max_j.tolist())
-            self.robot_kine_rm.rm_algo_set_joint_min_limit(min_j.tolist())
-
-    def cfg_work_frame(self , frame_name):
-        self.robot_kine_rm.rm_algo_set_workframe(self.work_frames[frame_name])
-
-    def get_work_frame(self):
-        return self.robot_kine_rm.rm_algo_get_curr_workframe()
-
-    def cfg_tool_frame(self, frame_name ):
-        self.robot_kine_rm.rm_algo_set_toolframe(self.tool_frames[frame_name])
-
-    def get_tool_frame(self):
-        return self.robot_kine_rm.rm_algo_get_curr_toolframe()
-
-    def quaternion_to_euler(self, q):
-        """
-        Convert quaternion to Euler angles (roll, pitch, yaw)
-
-        Args:
-            qx, qy, qz, qw: quaternion components
-
-        Returns:
-            tuple: (roll, pitch, yaw) in radians
-        """
-        # Roll (x-axis rotation)
-        sinr_cosp = 2.0 * (q[3] * q[0] + q[1] * q[2])
-        cosr_cosp = 1.0 - 2.0 * (q[0] * q[0] + q[1] * q[1])
-        roll = np.arctan2(sinr_cosp, cosr_cosp)
-
-        # Pitch (y-axis rotation)
-        sinp = 2.0 * (q[3] * q[1] - q[2] * q[0])
-        if abs(sinp) >= 1:
-            pitch = np.copysign(np.pi / 2, sinp)  # Use 90 degrees if out of range
-        else:
-            pitch = np.arcsin(sinp)
-
-        # Yaw (z-axis rotation)
-        siny_cosp = 2.0 * (q[3] * q[2] + q[0] * q[1])
-        cosy_cosp = 1.0 - 2.0 * (q[1] * q[1] + q[2] * q[2])
-        yaw = np.arctan2(siny_cosp, cosy_cosp)
-
-        return [roll, pitch, yaw]
-
-    def add_tool_frames(self, dict_frames):
-        self.tool_frames = {}
-        for tool_name in dict_frames:
-            tool_attr = dict_frames[tool_name]
-            position = tool_attr[0][0:3]
-            rotationXYZ = self.quaternion_to_euler(tool_attr[0][3:7])
-            f = rm_frame_t(frame_name=tool_name, pose=(position[0], position[1], position[2], rotationXYZ[0], rotationXYZ[1], rotationXYZ[2]), payload=1, x=0, y=0, z=0)
-
-            self.tool_frames.update({tool_name:f})
-
-    def forward_kinematics(self, joint_angles, flag  = 1  , tool="omnipic", work="work"):
-        '''
-        :param joint_angles:   list of joint values, in rad
-        :param flag:       0: return list [x,y,z,w,x,y,z]. 1: return list [x,y,z,rx,ry,rz]
-        :param return:      [x,y,z,rx,ry,rz], m & rad
-        '''
-        if tool != self.tool_name:
-            self.tool_name = tool
-            self.cfg_tool_frame(tool)
-        if work != self.work_name:
-            self.work_name = work
-            self.cfg_work_frame(work)
-
-        return self.robot_kine_rm.rm_algo_forward_kinematics(joint=[q_s*180/math.pi for q_s in joint_angles]  , flag=flag)
-
-    def inverse_kinematics(self, target_position, target_rpy=None, initial_guess=None, tool="omnipic", work="work", step_arm_angle = 15.0):
-        '''
-        :param target_position:     list of position values, m
-        :param target_rpy:          list of rpy values, rad
-        :param initial_guess:       initial guess of angles, rad
-        :param tool:                tool name, refer to self.tool_frames
-        :param work:                work name, refer to self.work_frames
-
-        return  ret:                 state of ik calculation, 0:success, -2: out of workspace
-                [q_]:               the ik calculated angles for joints, rad
-        '''
-        if tool != self.tool_name:
-            self.tool_name = tool
-            self.cfg_tool_frame(tool)
-        if work != self.work_name:
-            self.work_name = work
-            self.cfg_work_frame(work)
-
-        target = list(target_position) + list(target_rpy)
-
-        if initial_guess is not None:
-            q_ref = [ 180/math.pi * ig for ig in  initial_guess ]
-        else:
-            q_ref = [0.0, 110.0, 20.0, 40.0, 30.0, 180.0, 20.0]
-        ret, phi0 = self.robot_kine_rm.rm_algo_calculate_arm_angle_from_config_rm75(q_ref)
-        params = rm_inverse_kinematics_params_t(q_ref, target, 1)
-
-        offsets = [0.0]
-        arm_angle = step_arm_angle
-        while arm_angle <= 180.0:
-            offsets += [arm_angle, -arm_angle]
-            arm_angle += step_arm_angle
-
-        best_ret, best_q_out, best_dis = -1, None, None
-        for offset in offsets:
-            phi = ((phi0 + offset + 180.0) % 360.0) - 180.0
-            ret, q_out = self.robot_kine_rm.rm_algo_inverse_kinematics_rm75_for_arm_angle(params, phi)
-            if int(ret) != 0:
-                if best_q_out is None:
-                    best_ret, best_q_out = ret, q_out
-                continue
-
-            p_fk = self.robot_kine_rm.rm_algo_forward_kinematics(joint=q_out, flag=1)
-            pose_dis = cal_pose_deviation(p_fk, target)
-            if pose_dis < 0.01:
-                #   success in ik calculation
-                return ret, [q / 180 * math.pi for q in q_out]
-
-            if best_dis is None or pose_dis < best_dis:
-                best_ret, best_q_out, best_dis = -10, q_out, pose_dis
-
-        ret, q_out = self.robot_kine_rm.rm_algo_inverse_kinematics_rm75_for_arm_angle(params, phi)
-        pose_fk = self.robot_kine_rm.rm_algo_forward_kinematics(joint=q_out, flag=1)
-        pose_dis = cal_pose_deviation(pose_fk, target)
-
-        # print(f'target pose is {target}, fk pose is {pose_fk}, dis of poses is {pose_dis}')
-        #
-        # print(f'\nin the rm75_kine_rm, l133, inverse_kinematics, q_ref = {q_ref}, target = {target}  phi = {phi}, q_out = {q_out}, ret = {ret}\n\n')
-        # print(f'the tool frame is {self.robot_kine_rm.rm_algo_get_curr_toolframe()}')
-        if int(ret) < 0:
-            return ret, [ q/180*math.pi for q in q_out]
-        elif pose_dis < 0.01:
-            return ret, [ q/180*math.pi for q in q_out]
-        else:
-            return -10, [ q/180*math.pi for q in q_out]
-
-def cal_pose_deviation(pose1, pose2):
-    d_fk_p1 = np.array(pose1) - np.array(pose2)
-    for j in [3, 4, 5]:
-        while d_fk_p1[j] > math.pi:
-            d_fk_p1[j] -= 2 * math.pi
-        while d_fk_p1[j] < -math.pi:
-            d_fk_p1[j] += 2 * math.pi
-    d_fk = np.linalg.norm(d_fk_p1)
-    return d_fk

kine_ctrl/rm75_mjc.py

@@ -1,297 +0,0 @@
-#!/usr/bin/env python3
-"""
-Pure Position Control for MuJoCo - No velocity commands, no forces
-Direct joint position control with smoothing
-"""
-
-import mujoco
-import mujoco.viewer
-import numpy as np
-import threading
-import time
-from pathlib import Path
-
-
-class MuJoCoPositionController:
-    """
-    Pure position control - directly sets joint positions
-    No velocity commands, no forces - completely stable
-    """
-
-    def __init__(self, urdf_path="./urdf_rm75/RM75-B.urdf", smoothness=0.05, enable_viewer=True):
-        """
-        Args:
-            urdf_path: Path to URDF file
-            smoothness: Motion smoothness (0.02=very smooth, 0.1=fast)
-            enable_viewer: Show MuJoCo viewer
-        """
-        # Load model
-        self.model = mujoco.MjModel.from_xml_path(urdf_path)
-        self.data = mujoco.MjData(self.model)
-
-        self.time_interval = 0.02
-
-        print(f'time interval: {self.model.opt.timestep}')
-
-        # Robot info
-        self.n_joints = self.model.njnt
-
-        # Get joint limits
-        self.joint_lower_limits = []
-        self.joint_upper_limits = []
-        for i in range(self.n_joints):
-            self.joint_lower_limits.append(self.model.jnt_range[i, 0])
-            self.joint_upper_limits.append(self.model.jnt_range[i, 1])
-
-        print(f"Loaded robot: {self.n_joints} joints")
-        for i in range(self.n_joints):
-            print(
-                f"  {self.model.joint(i).name}: limit [{self.joint_lower_limits[i]:.2f}, {self.joint_upper_limits[i]:.2f}]")
-
-        # Target joint angles (in radians)
-        self.target_joints = self.data.qpos[:self.n_joints].copy()
-
-        # Smoothing factor (0-1, lower = smoother)
-        self.smoothness = smoothness
-
-        # Thread safety
-        self.command_lock = threading.Lock()
-        self.feedback_lock = threading.Lock()
-        self.current_feedback_joint = self.data.qpos[:self.n_joints].copy()
-
-        self.max_ang_inc = 0.02
-
-        # Control flags
-        self.running = False
-        self.simulation_thread = None
-
-        # Viewer
-        self.viewer = None
-        if enable_viewer:
-            try:
-                self.viewer = mujoco.viewer.launch_passive(self.model, self.data)
-                print("Viewer launched")
-            except Exception as e:
-                print(f"Viewer warning: {e}")
-        self.start()
-
-    def start(self):
-        """Start the simulation thread"""
-        if self.running:
-            return
-
-        self.running = True
-        self.simulation_thread = threading.Thread(target=self._simulation_loop, daemon=True)
-        self.simulation_thread.start()
-        print("Simulation thread started")
-
-    def stop(self):
-        """Stop the simulation thread"""
-        self.running = False
-        if self.simulation_thread:
-            self.simulation_thread.join(timeout=2.0)
-        if self.viewer:
-            self.viewer.close()
-        print("Simulation stopped")
-
-    def send_command(self, joint_positions):
-        """
-        Send target joint positions
-
-        Args:
-            joint_positions: Array of target joint angles (radians)
-        """
-        cmd = np.array(joint_positions[:self.n_joints], dtype=np.float64)
-
-        # Apply joint limits
-        for i in range(self.n_joints):
-            cmd[i] = np.clip(cmd[i], self.joint_lower_limits[i], self.joint_upper_limits[i])
-
-        with self.command_lock:
-            self.target_joints = cmd
-
-    def get_feedback(self):
-        """Get current joint positions"""
-        with self.feedback_lock:
-            return self.current_feedback_joint.copy()
-
-    def get_target(self):
-        """Get current target positions"""
-        with self.command_lock:
-            return self.target_joints.copy()
-
-    def _simulation_loop(self):
-        """
-        Main simulation loop - PURE POSITION CONTROL
-        No velocity commands, no forces - just direct position setting
-        """
-        last_time = time.time()
-
-        # For smooth interpolation
-        current_joints = self.data.qpos[:self.n_joints].copy()
-
-        while self.running:
-            # Get target command
-            with self.command_lock:
-                target = self.target_joints.copy()
-
-            # Get current positions
-            current_joints = self.data.qpos[:self.n_joints].copy()
-
-            # Smooth interpolation toward target
-            # This creates natural motion without velocity commands
-            alpha = self.smoothness
-
-            next_joints = current_joints + np.clip(alpha * (target - current_joints) , -self.max_ang_inc, self.max_ang_inc)
-
-            # DIRECT POSITION CONTROL - Set joint positions
-            self.data.qpos[:self.n_joints] = next_joints
-
-            # IMPORTANT: Set velocities to zero to prevent physics from moving joints
-            # This ensures pure kinematic control
-            self.data.qvel[:self.n_joints] = 0
-
-            # Step physics (this will apply gravity, collisions, etc. to other bodies)
-            mujoco.mj_step(self.model, self.data)
-
-            # After step, ensure our joint positions are maintained
-            # (Physics might have altered them slightly)
-            self.data.qpos[:self.n_joints] = next_joints
-            self.data.qvel[:self.n_joints] = 0
-
-            # Update feedback
-            with self.feedback_lock:
-                self.current_feedback_joint = self.data.qpos[:self.n_joints].copy()
-
-            # Sync viewer
-            if self.viewer:
-                self.viewer.sync()
-
-            # Maintain real-time speed
-            elapsed = time.time() - last_time
-            sleep_time = self.time_interval - elapsed
-            if sleep_time > 0:
-                time.sleep(sleep_time)
-            last_time = time.time()
-
-    def move_to_joints(self, target, duration=1.0):
-        """
-        Move to target joints over specified duration
-
-        Args:
-            target: Target joint joints
-            duration: Time to complete movement (seconds)
-        """
-        start_js = self.get_feedback()
-        end_js = np.array(target[:self.n_joints])
-
-        # Apply limits
-        for i in range(self.n_joints):
-            end_js[i] = np.clip(end_js[i], self.joint_lower_limits[i], self.joint_upper_limits[i])
-
-        n_steps = int(duration / self.time_interval)
-
-        print(f"  Moving over {duration}s ({n_steps} steps)")
-
-        for step in range(n_steps):
-            alpha = (step + 1) / n_steps
-            # Use easing for smoother motion
-            ease_alpha = 1 - (1 - alpha) ** 2  # Quadratic ease-out
-            current_target = start_js + ease_alpha * (end_js - start_js)
-            self.send_command(current_target)
-            time.sleep(self.time_interval)
-
-        # Ensure exact target
-        self.send_command(end_js)
-        time.sleep(0.1)
-
-    def wait_until_reached(self, tolerance=0.01, timeout=10.0):
-        """
-        Wait until robot reaches target position
-
-        Args:
-            tolerance: Position error tolerance (radians)
-            timeout: Maximum wait time (seconds)
-        """
-        start_time = time.time()
-
-        while time.time() - start_time < timeout:
-            current = self.get_feedback()
-            target = self.get_target()
-            error = np.max(np.abs(target - current))
-
-            if error < tolerance:
-                return True
-
-            time.sleep(0.01)
-
-        return False
-
-    def print_state(self):
-        """Print current robot state"""
-        joints = self.get_feedback()
-        target = self.get_target()
-        print("Current joints (rad):", [f"{p:.3f}" for p in joints], "...")
-        print("Target joints (rad): ", [f"{t:.3f}" for t in target], "...")
-
-
-# Demo
-def demo_position_control():
-    """Demonstrate pure position control"""
-
-    urdf_path = "/home/zl/Downloads/urdf_rm75/RM75-B.urdf"
-
-    if not Path(urdf_path).exists():
-        print(f"Error: URDF not found at {urdf_path}")
-        return
-
-    print("=" * 60)
-    print("Pure Position Control Demo")
-    print("=" * 60)
-
-    # Create controller
-    robot = MuJoCoPositionController(urdf_path, smoothness=0.05, enable_viewer=True)
-    robot.start()
-    time.sleep(1)
-
-    print("\n[Test 1] Move joint 1 to 45 degrees")
-    robot.send_command([0.785, 0, 0, 0, 0, 0, 0])
-    robot.wait_until_reached()
-    robot.print_state()
-    time.sleep(0.5)
-
-    print("\n[Test 2] Move joint 2 to -30 degrees")
-    robot.send_command([0, -0.524, 0, 0, 0, 0, 0])
-    robot.wait_until_reached()
-    robot.print_state()
-    time.sleep(0.5)
-
-    print("\n[Test 3] Move multiple joints simultaneously")
-    robot.send_command([0.5, -0.4, 0.3, 0.2, 0.1, 0, 0])
-    robot.wait_until_reached()
-    robot.print_state()
-    time.sleep(0.5)
-
-    print("\n[Test 4] Return home")
-    robot.send_command([0, 0, 0, 0, 0, 0, 0])
-    robot.wait_until_reached()
-    robot.print_state()
-
-    print("\n" + "=" * 60)
-    print("✓ All tests passed! Robot is stable and controllable.")
-    print("=" * 60)
-    print("\nInteractive mode - close viewer to exit")
-
-    try:
-        while robot.viewer and robot.viewer.is_running():
-            time.sleep(0.1)
-    except KeyboardInterrupt:
-        pass
-
-    robot.stop()
-
-
-
-
-if __name__ == "__main__":
-    demo_position_control()

kine_ctrl/workspace_comfortable/Contour_plot.py

@@ -1,106 +0,0 @@
-from pathlib import Path
-
-import matplotlib.pyplot as plt
-import numpy as np
-import pandas as pd
-
-
-# --------------------------------------------------
-# 1. Load the data
-# --------------------------------------------------
-file_name = "rm75b_comfort_workspace_v_minis_collision.csv"
-csv_path = Path(file_name)
-
-# The file has no column names, so header=None is important.
-df_csv = pd.read_csv(
-    csv_path,
-)
-rate_res = df_csv.iloc[:, :4]
-try:
-    rate_res_sort = rate_res.sort_values('z').reset_index(drop=True)
-except:
-    rate_res_sort = rate_res
-
-DECIMALS = 4
-
-try:
-    x_unique = np.round(rate_res_sort['x'], DECIMALS).unique()
-    y_unique = np.round(rate_res_sort['y'], DECIMALS).unique()
-    z_unique = np.round(rate_res_sort['z'], DECIMALS).unique()
-except:
-    x_unique = np.round(rate_res_sort.iloc[:,0], DECIMALS).unique()
-    y_unique = np.round(rate_res_sort.iloc[:, 1], DECIMALS).unique()
-    z_unique = np.round(rate_res_sort.iloc[:, 2], DECIMALS).unique()
-
-nx, ny, nz = len(x_unique), len(y_unique), len(z_unique)
-
-
-ik_rates = rate_res_sort.to_numpy()
-
-# --------------------------------------------------
-# 2. Create an output directory
-# --------------------------------------------------
-output_dir = Path(file_name.split(".")[0])
-output_dir.mkdir(exist_ok=True)
-
-
-# --------------------------------------------------
-# 3. Use the same colour scale for every z-plane
-# --------------------------------------------------
-df = rate_res_sort
-value_min = df["ik_success_rate"].min()
-value_max = df["ik_success_rate"].max()
-
-# More levels give a smoother-looking contour plot.
-levels = np.linspace(value_min, value_max, 51)
-
-
-# --------------------------------------------------
-# 4. Draw one contour plot for each z-plane
-# --------------------------------------------------
-for z_value, plane in df.groupby("z", sort=True):
-
-    # Rows become y-coordinates, columns become x-coordinates.
-    grid = plane.pivot(index="y", columns="x", values="ik_success_rate")
-
-    x = grid.columns.to_numpy()
-    y = grid.index.to_numpy()
-    ik_grid = grid.to_numpy()
-
-    X, Y = np.meshgrid(x, y)
-
-    fig, ax = plt.subplots(figsize=(7, 6))
-
-    contour = ax.contourf(
-        X,
-        Y,
-        ik_grid,
-        levels=levels,
-        cmap="viridis",
-        extend="both",
-    )
-
-    highlight_levels = [0.6, 0.7]
-    # Only plot if the levels are within the data range (optional)
-    if value_min <= 0.6 <= value_max or value_min <= 0.7 <= value_max:
-        lines = ax.contour(X, Y, ik_grid, levels=highlight_levels,
-                           colors='red', linewidths=2, linestyles='solid')
-        # Optionally label the lines
-        ax.clabel(lines, inline=True, fontsize=10, fmt='%1.1f')
-
-
-    colorbar = fig.colorbar(contour, ax=ax)
-    colorbar.set_label("IK rate")
-
-    ax.set_title(f"IK rate at z = {z_value:.2f}")
-    ax.set_xlabel("x")
-    ax.set_ylabel("y")
-    ax.set_aspect("equal")
-
-    fig.tight_layout()
-
-    output_path = output_dir / f"ik_contour_z_{z_value:.2f}.png"
-    fig.savefig(output_path, dpi=200, bbox_inches="tight")
-    plt.close(fig)
-
-print(f"Plots saved to: {output_dir.resolve()}")

kine_ctrl/workspace_comfortable/Contour_plot_no_header.py

@@ -1,109 +0,0 @@
-from pathlib import Path
-
-import matplotlib.pyplot as plt
-import numpy as np
-import pandas as pd
-
-
-# --------------------------------------------------
-# 1. Load the data
-# --------------------------------------------------
-file_name = "workspace minisci collision.csv"
-csv_path = Path(file_name)
-
-# The file has no column names, so header=None is important.
-df_csv = pd.read_csv(
-    csv_path,
-    header=None,                     # the file has no header row
-    names=['x', 'y', 'z', 'ik_success_rate']   # assign names
-)
-
-rate_res = df_csv.iloc[:, :4]
-try:
-    rate_res_sort = rate_res.sort_values('z').reset_index(drop=True)
-except:
-    rate_res_sort = rate_res
-
-DECIMALS = 4
-
-try:
-    x_unique = np.round(rate_res_sort['x'], DECIMALS).unique()
-    y_unique = np.round(rate_res_sort['y'], DECIMALS).unique()
-    z_unique = np.round(rate_res_sort['z'], DECIMALS).unique()
-except:
-    x_unique = np.round(rate_res_sort.iloc[:,0], DECIMALS).unique()
-    y_unique = np.round(rate_res_sort.iloc[:, 1], DECIMALS).unique()
-    z_unique = np.round(rate_res_sort.iloc[:, 2], DECIMALS).unique()
-
-nx, ny, nz = len(x_unique), len(y_unique), len(z_unique)
-
-
-ik_rates = rate_res_sort.to_numpy()
-
-# --------------------------------------------------
-# 2. Create an output directory
-# --------------------------------------------------
-output_dir = Path(file_name.split(".")[0])
-output_dir.mkdir(exist_ok=True)
-
-
-# --------------------------------------------------
-# 3. Use the same colour scale for every z-plane
-# --------------------------------------------------
-df = rate_res_sort
-value_min = df["ik_success_rate"].min()
-value_max = df["ik_success_rate"].max()
-
-# More levels give a smoother-looking contour plot.
-levels = np.linspace(value_min, value_max, 51)
-
-
-# --------------------------------------------------
-# 4. Draw one contour plot for each z-plane
-# --------------------------------------------------
-for z_value, plane in df.groupby("z", sort=True):
-
-    # Rows become y-coordinates, columns become x-coordinates.
-    grid = plane.pivot(index="y", columns="x", values="ik_success_rate")
-
-    x = grid.columns.to_numpy()
-    y = grid.index.to_numpy()
-    ik_grid = grid.to_numpy()
-
-    X, Y = np.meshgrid(x, y)
-
-    fig, ax = plt.subplots(figsize=(7, 6))
-
-    contour = ax.contourf(
-        X,
-        Y,
-        ik_grid,
-        levels=levels,
-        cmap="viridis",
-        extend="both",
-    )
-
-    highlight_levels = [0.6, 0.7]
-    # Only plot if the levels are within the data range (optional)
-    if value_min <= 0.6 <= value_max or value_min <= 0.7 <= value_max:
-        lines = ax.contour(X, Y, ik_grid, levels=highlight_levels,
-                           colors='red', linewidths=2, linestyles='solid')
-        # Optionally label the lines
-        ax.clabel(lines, inline=True, fontsize=10, fmt='%1.1f')
-
-
-    colorbar = fig.colorbar(contour, ax=ax)
-    colorbar.set_label("IK rate")
-
-    ax.set_title(f"IK rate at z = {z_value:.2f}")
-    ax.set_xlabel("x")
-    ax.set_ylabel("y")
-    ax.set_aspect("equal")
-
-    fig.tight_layout()
-
-    output_path = output_dir / f"ik_contour_z_{z_value:.2f}.png"
-    fig.savefig(output_path, dpi=200, bbox_inches="tight")
-    plt.close(fig)
-
-print(f"Plots saved to: {output_dir.resolve()}")

kine_ctrl/workspace_comfortable/workspace_cal.py

@@ -1,726 +0,0 @@
-"""
-RM75-B comfortable workspace evaluator.
-
-You provide:
-    - URDF file path '/home/zl/Downloads/urdf_rm75/RM75-B.urdf'
-    - your own IK solver inside solve_ik()
-
-This script computes:
-    - IK success rate
-    - joint-limit comfort
-    - manipulability
-    - singularity / condition number score
-    - final comfort score
-
-Recommended install:
-    pip install numpy scipy urdfpy pandas matplotlib tqdm
-
-Optional:
-    pip install plotly
-"""
-
-import numpy as np
-import pandas as pd
-import matplotlib.pyplot as plt
-
-from tqdm import tqdm
-from scipy.spatial.transform import Rotation as R
-from urdfpy import URDF
-
-import sys
-from pathlib import Path
-
-# 1. Get the absolute path of the directory containing this current script
-current_dir = Path(__file__).resolve().parent
-
-# 2. Get the parent (upper) directory
-parent_dir = current_dir.parent
-
-# 3. Add the parent directory to the system path
-sys.path.insert(0, str(parent_dir))
-
-from rm75_kine_qp import KinematicsSolver as kine_qp
-from rm75_kine_rm import rm75_kine_api as kine_rm
-from rm75_mjc import MuJoCoPositionController
-from Robotic_Arm.rm_robot_interface import *
-
-import time
-from math import radians, degrees, pi, cos, sin
-
-# Cartesian workspace grid, in meters.
-# Adjust according to your robot placement and task.
-X_RANGE = (-0.7, 0.7)
-Y_RANGE = (-0.7, 0.7)
-Z_RANGE = (-0.10, 0.8)
-
-GRID_RESOLUTION = 0.05  # 5 cm. Use 0.02 for finer but slower.
-
-num_orientations =  120
-
-tool_name = "scissor"
-
-
-
-URDF_PATH = str(parent_dir) + '/urdf_rm75/RM75-SCI.urdf'
-
-output_csv = "workspace"  + tool_name + URDF_PATH.split('/')[-1].split('.')[0] + ".csv"
-
-
-# Comfort thresholds
-MIN_JOINT_MARGIN = 0.05       # 15% away from joint limits
-MAX_CONDITION_NUMBER = 150.0
-MIN_MANIPULABILITY_RATIO = 0.10
-
-# Scoring weights
-WEIGHT_IK_SUCCESS = 0.70
-WEIGHT_JOINT_LIMIT = 0.10
-WEIGHT_MANIPULABILITY = 0.1
-WEIGHT_SINGULARITY = 0.1
-
-
-
-
-#   pose expression of tool-tip in end-effector, x y z quatx quaty quatz quatw
-#   load: kg, mass_center_x in ee frame: m, y, z, then last threes are for filling
-tools_in_ee = {
-    'scissor': np.array([[0.0, 0.0, 0.19, 0.0, 0.0, 0.0, 1.0],[0.66, 0.0, 0.0, 0.06, 0.0, 0.0, 0.0]],dtype=np.float64),
-    'omnipic': np.array([[0.0, 0.0, 0.16, 0.0, 0.0, 0.0, 1.0],[0.43, 0.0, 0.0, 0.06, 0.0, 0.0, 0.0]],dtype=np.float64),
-    'minisci': np.array([[0.0, 0.0, 0.19, 0.0, 0.0, 0.0, 1.0],[0.46, 0.0, 0.0, 0.06, 0.0, 0.0, 0.0]],dtype=np.float64),
-    'v_minis': np.array([[0.0, 0.1, 0.1, -np.sqrt(2) * 0.5, 0.0, 0.0, np.sqrt(2) * 0.5],[0.46, 0.0, 0.0, 0.06, 0.0, 0.0, 0.0]],dtype=np.float64),
-    'no_tool': np.array([[0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0],[0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]],dtype=np.float64),
-}
-
-# joint limit
-# ub = np.array([150.0, 110.0, 170.0, 130, 175.0, 125.0, 179.0]) / 180 * pi
-# lb = np.array([-150.0, -30.0, -170.0, -130, -175.0, -125.0, -179.0]) / 180 * pi
-#
-#
-ub = np.array([179.0, 129.0, 179.0, 134, 179.0, 127.0, 359.0])/180*pi
-lb = -ub
-
-
-MESH_DIR = str(Path(URDF_PATH).parent)
-
-#  -----------      rm75 qp based kine          ------------
-robot_kine_qp = kine_qp(urdf_path=URDF_PATH, mesh_dir=MESH_DIR, tcps=["scissor_tcp", "camera_tcp"])
-robot_kine_qp.add_tool_frames(tools_in_ee)
-robot_kine_qp.cfg_j_limit(min_j=lb, max_j=ub, rad_flag=True)
-
-#   ----------      rm75 official algorithm         -----------
-robot_kine_rm = kine_rm()
-robot_kine_rm.add_tool_frames(tools_in_ee)
-robot_kine_rm.cfg_j_limit(min_j=lb, max_j=ub, rad_flag=True)
-
-
-
-# ============================================================
-# 1. USER SETTINGS
-# ============================================================
-
-
-
-BASE_LINK = "base_link"
-TCP_LINK = "link_7"
-
-JOINT_NAMES = [
-    "joint_1",
-    "joint_2",
-    "joint_3",
-    "joint_4",
-    "joint_5",
-    "joint_6",
-    "joint_7",
-]
-
-
-
-# Numerical Jacobian settings
-JACOBIAN_EPS = 1e-5
-
-
-
-# ============================================================
-# 2. TASK ORIENTATION SAMPLING
-# ============================================================
-
-def make_task_orientations(num_orientations=num_orientations, seed=1):
-    """
-    Random orientation sampling using RM's Euler convention:
-
-        R = Rz @ Ry @ Rx
-
-    Note:
-        This samples Euler angles randomly.
-        It is useful, but not perfectly uniform over SO(3).
-    """
-
-    rng = np.random.default_rng(seed)
-
-    orientations = []
-
-    for _ in range(num_orientations):
-        rx = rng.uniform(-np.pi, np.pi)
-        ry = rng.uniform(-np.pi / 2.0, np.pi / 2.0)
-        rz = rng.uniform(-np.pi, np.pi)
-
-        orientations.append([rx, ry, rz])
-
-    return orientations
-
-
-# ============================================================
-# 3.  IK FUNCTION GOES HERE
-# ============================================================
-
-def solve_ik(target_position, target_rotation):
-    """
-    Replace this function with your own IK solver.
-
-    Parameters
-    ----------
-    target_position : np.ndarray, shape (3,)
-        Desired TCP position in base_link frame.
-
-    target_rotation : np.ndarray, shape (3, 3)
-        Desired TCP rotation matrix in base_link frame.
-
-    Returns
-    -------
-    None
-        If IK fails.
-
-    or
-
-    np.ndarray, shape (7,)
-        One IK solution.
-
-    or
-
-    list[np.ndarray]
-        Multiple IK solutions.
-
-    Important:
-        Joint order must be:
-        [joint_1, joint_2, joint_3, joint_4, joint_5, joint_6, joint_7]
-    """
-
-    initial_guess = [0.1] * 7
-
-    ret_qp, q = robot_kine_qp.inverse_kinematics(target_position=target_position, target_rpy=target_rotation, initial_guess=initial_guess, tool=tool_name, max_iter=250)
-    # print(f'---- with qp ik, ret_qp: {ret_qp}, q = {q}')
-    if ret_qp == 0:
-        if not robot_kine_qp.collision_detect(q,stop_at_first_collision=True, verbose=True):
-            return q
-
-
-    ret_rm, q = robot_kine_rm.inverse_kinematics(target_position=target_position, target_rpy=target_rotation, initial_guess=initial_guess, tool=tool_name)
-    # print(f'==== with rm ik, ret_rm: {ret_rm}, q = {q}')
-    if ret_rm == 0:
-        if not robot_kine_qp.collision_detect(q, stop_at_first_collision=True, verbose=True):
-            return q
-
-
-    return None
-
-
-# ============================================================
-# 4. URDF / FK UTILITIES
-# ============================================================
-
-def load_robot_and_limits(urdf_path):
-    robot = URDF.load(urdf_path)
-
-    joints = []
-    lower = []
-    upper = []
-
-    joint_map = {j.name: j for j in robot.joints}
-
-    for name in JOINT_NAMES:
-        joint = joint_map[name]
-        joints.append(joint)
-
-        if joint.limit is None:
-            raise ValueError(f"Joint {name} has no limit in URDF.")
-
-        lower.append(joint.limit.lower)
-        upper.append(joint.limit.upper)
-
-    lower = np.asarray(lower, dtype=float)
-    upper = np.asarray(upper, dtype=float)
-
-    return robot, lower, upper
-
-
-# def q_to_cfg(q):
-#     """
-#     Convert joint vector to urdfpy FK config dictionary.
-#     """
-#     return {name: float(q[i]) for i, name in enumerate(JOINT_NAMES)}
-
-
-# def fk_transform(robot, q):
-#     """
-#     Forward kinematics from base_link to TCP_LINK.
-#
-#     Returns
-#     -------
-#     T : np.ndarray, shape (4, 4)
-#     """
-#     cfg = q_to_cfg(q)
-#     fk = robot.link_fk(cfg=cfg)
-#     tcp_link = robot.link_map[TCP_LINK]
-#     return fk[tcp_link]
-#
-#
-# def fk_position(robot, q):
-#     T = fk_transform(robot, q)
-#     return T[:3, 3]
-
-
-# ============================================================
-# 5. COMFORT METRICS
-# ============================================================
-
-def is_within_joint_limits(q, lower, upper, tol=1e-8):
-    q = np.asarray(q)
-    return np.all(q >= lower - tol) and np.all(q <= upper + tol)
-
-
-def joint_limit_score(q, lower, upper):
-    """
-    Score in [0, 1].
-    1 means every joint is at center of its range.
-    0 means at least one joint is at its limit.
-    """
-
-    q = np.asarray(q)
-    mid = 0.5 * (lower + upper)
-    half_range = 0.5 * (upper - lower)
-
-    per_joint_score = 1.0 - np.abs(q - mid) / half_range
-    per_joint_score = np.clip(per_joint_score, 0.0, 1.0)
-
-    # Conservative: one bad joint makes the whole pose less comfortable.
-    return float(np.min(per_joint_score))
-
-
-def joint_margin(q, lower, upper):
-    """
-    Minimum normalized distance to joint limits.
-
-    0.15 means the closest joint is 15% away from its limit.
-    """
-    q = np.asarray(q)
-    margin_lower = (q - lower) / (upper - lower)
-    margin_upper = (upper - q) / (upper - lower)
-    margin = np.minimum(margin_lower, margin_upper)
-    return float(np.min(margin))
-
-
-def q_to_cfg(q):
-    """
-    Convert joint vector to urdfpy FK config dictionary.
-    """
-    return {name: float(q[i]) for i, name in enumerate(JOINT_NAMES)}
-
-
-def fk_transform(robot, q):
-    """
-    Forward kinematics from base_link to TCP_LINK.
-
-    Returns
-    -------
-    T : np.ndarray, shape (4, 4)
-    """
-    cfg = q_to_cfg(q)
-    fk = robot.link_fk(cfg=cfg)
-    tcp_link = robot.link_map[TCP_LINK]
-    return fk[tcp_link]
-
-
-def numerical_geometric_jacobian(robot, q, eps=1e-5):
-    """
-    Numerical 6D geometric-like Jacobian, shape (6, 7).
-
-    Top 3 rows:
-        linear velocity approximation
-
-    Bottom 3 rows:
-        angular velocity approximation as rotation-vector difference
-
-    This is useful for manipulability and singularity checks.
-    """
-    q = np.asarray(q, dtype=float)
-    n = len(q)
-
-    J = np.zeros((6, n))
-
-    T0 = fk_transform(robot, q)
-    p0 = T0[:3, 3]
-    R0 = T0[:3, :3]
-
-    for i in range(n):
-        q_plus = q.copy()
-        q_minus = q.copy()
-
-        q_plus[i] += eps
-        q_minus[i] -= eps
-
-        T_plus = fk_transform(robot, q_plus)
-        T_minus = fk_transform(robot, q_minus)
-
-        p_plus = T_plus[:3, 3]
-        p_minus = T_minus[:3, 3]
-
-        R_plus = T_plus[:3, :3]
-        R_minus = T_minus[:3, :3]
-
-        # Linear part
-        J[:3, i] = (p_plus - p_minus) / (2.0 * eps)
-
-        # Angular part
-        # Relative rotation from minus to plus.
-        dR = R_plus @ R_minus.T
-        rotvec = R.from_matrix(dR).as_rotvec()
-        J[3:, i] = rotvec / (2.0 * eps)
-
-    return J
-
-
-def manipulability_score_from_jacobian(J):
-    """
-    Yoshikawa-style manipulability.
-
-    For a 6x7 Jacobian:
-        w = sqrt(det(J J.T))
-
-    To improve numerical robustness, compute from singular values.
-    """
-    singular_values = np.linalg.svd(J, compute_uv=False)
-
-    # Product of singular values.
-    # For a 6x7 Jacobian, there are 6 singular values.
-    w = float(np.prod(singular_values))
-
-    return w
-
-
-def condition_number_from_jacobian(J, min_sigma=1e-9):
-    singular_values = np.linalg.svd(J, compute_uv=False)
-    sigma_max = np.max(singular_values)
-    sigma_min = np.min(singular_values)
-
-    if sigma_min < min_sigma:
-        return np.inf
-
-    return float(sigma_max / sigma_min)
-
-
-def singularity_score(condition_number):
-    """
-    Score in [0, 1].
-    Higher is better.
-
-    condition_number = 1 is ideal.
-    Very large means near singularity.
-    """
-    if not np.isfinite(condition_number):
-        return 0.0
-
-    return float(1.0 / condition_number)
-
-
-# ============================================================
-# 6. IK RESULT HANDLING
-# ============================================================
-
-def normalize_ik_solutions(ik_result):
-    """
-    Your IK returns:
-        - None if failed
-        - one list/array of 7 joint values if successful
-    """
-    if ik_result is None:
-        return []
-
-    q = np.asarray(ik_result, dtype=float).reshape(-1)
-
-    if q.shape[0] != 7:
-        return []
-
-    return [q]
-
-
-def evaluate_single_solution(robot, q, lower, upper):
-    """
-    Evaluate one IK solution.
-
-    Returns a dictionary with metrics.
-    """
-
-    if q.shape[0] != 7:
-        return None
-
-    if not is_within_joint_limits(q, lower, upper):
-        return None
-
-    jl_score = joint_limit_score(q, lower, upper)
-    jl_margin = joint_margin(q, lower, upper)
-
-    J = numerical_geometric_jacobian(robot, q, eps=JACOBIAN_EPS)
-
-    manip = manipulability_score_from_jacobian(J)
-    cond = condition_number_from_jacobian(J)
-    sing_score = singularity_score(cond)
-
-    valid_by_thresholds = (
-        jl_margin >= MIN_JOINT_MARGIN
-        and cond <= MAX_CONDITION_NUMBER
-    )
-
-    return {
-        "q": q,
-        "joint_limit_score": jl_score,
-        "joint_margin": jl_margin,
-        "manipulability": manip,
-        "condition_number": cond,
-        "singularity_score": sing_score,
-        "valid_by_thresholds": valid_by_thresholds,
-    }
-
-
-# ============================================================
-# 7. MAIN WORKSPACE EVALUATION
-# ============================================================
-
-def make_grid():
-    xs = np.arange(X_RANGE[0], X_RANGE[1] + 1e-9, GRID_RESOLUTION)
-    ys = np.arange(Y_RANGE[0], Y_RANGE[1] + 1e-9, GRID_RESOLUTION)
-    zs = np.arange(Z_RANGE[0], Z_RANGE[1] + 1e-9, GRID_RESOLUTION)
-
-    points = []
-
-    for x in xs:
-        for y in ys:
-            for z in zs:
-                points.append(np.array([x, y, z], dtype=float))
-
-    return points
-
-
-def evaluate_workspace():
-    robot, lower, upper = load_robot_and_limits(URDF_PATH)
-    orientations = make_task_orientations()
-    grid_points = make_grid()
-
-    rows = []
-
-    # First pass stores raw manipulability.
-    # Later we normalize manipulability by max observed value.
-    all_valid_solution_metrics = []
-
-    print(f"Loaded robot from: {URDF_PATH}")
-    print(f"Grid points: {len(grid_points)}")
-    print(f"Orientations per point: {len(orientations)}")
-    print("Evaluating IK reachability and raw metrics...")
-
-    for point in tqdm(grid_points):
-        point_solution_metrics = []
-
-        attempted = 0
-        ik_success_count = 0
-
-
-        for rpy in orientations:
-            attempted += 1
-
-
-            ik_result = solve_ik(point, rpy)
-
-            # print(f'\n point is {point}, rpy is {rpy}, and ik result q: {ik_result}')
-            candidate_solutions = normalize_ik_solutions(ik_result)
-
-            if len(candidate_solutions) == 0:
-                continue
-
-            evaluated_solutions = []
-
-            for q in candidate_solutions:
-                # pose = robot_kine_qp.forward_kinematics(joint_angles=q, tool=tool_name)
-                # print(f'the fk of q is {pose}\n')
-                metrics = evaluate_single_solution(robot, q, lower, upper)
-                # print(f'matrics: {metrics}, q = {q}, lower = {lower}, upper = {upper}')
-                if metrics is not None:
-                    evaluated_solutions.append(metrics)
-
-            if len(evaluated_solutions) == 0:
-                continue
-
-            ik_success_count += 1
-
-            # Use the best solution for this pose.
-            # At this stage, manipulability is not normalized,
-            # so use joint score + singularity score as temporary ranking.
-            best = max(
-                evaluated_solutions,
-                key=lambda m: 0.6 * m["joint_limit_score"] + 0.4 * m["singularity_score"]
-            )
-
-            point_solution_metrics.append(best)
-            all_valid_solution_metrics.append(best)
-        print(f'this position+all orientations, the point_solution_metrics = {point_solution_metrics}')
-        ik_success_rate = ik_success_count / attempted if attempted > 0 else 0.0
-
-        if len(point_solution_metrics) == 0:
-            rows.append({
-                "x": point[0],
-                "y": point[1],
-                "z": point[2],
-                "ik_success_rate": 0.0,
-                "joint_limit_score": 0.0,
-                "joint_margin": 0.0,
-                "manipulability": 0.0,
-                "manipulability_score": 0.0,
-                "condition_number": np.inf,
-                "singularity_score": 0.0,
-                "comfort_score": 0.0,
-                "comfortable": False,
-                "reachable": False,
-            })
-        else:
-            # Average over task orientations.
-            rows.append({
-                "x": point[0],
-                "y": point[1],
-                "z": point[2],
-                "ik_success_rate": ik_success_rate,
-                "joint_limit_score": np.mean([m["joint_limit_score"] for m in point_solution_metrics]),
-                "joint_margin": np.mean([m["joint_margin"] for m in point_solution_metrics]),
-                "manipulability": np.mean([m["manipulability"] for m in point_solution_metrics]),
-                "manipulability_score": 0.0,  # filled later
-                "condition_number": np.mean([m["condition_number"] for m in point_solution_metrics]),
-                "singularity_score": np.mean([m["singularity_score"] for m in point_solution_metrics]),
-                "comfort_score": 0.0,  # filled later
-                "comfortable": False,
-                "reachable": True,
-            })
-
-    df = pd.DataFrame(rows)
-
-    # Normalize manipulability by maximum observed value.
-    max_manip = df["manipulability"].replace([np.inf, -np.inf], np.nan).max()
-
-    if max_manip is None or not np.isfinite(max_manip) or max_manip <= 0:
-        max_manip = 1.0
-
-    df["manipulability_score"] = df["manipulability"] / max_manip
-    df["manipulability_score"] = df["manipulability_score"].clip(0.0, 1.0)
-
-    # Final comfort score.
-    df["comfort_score"] = (
-        WEIGHT_IK_SUCCESS * df["ik_success_rate"]
-        + WEIGHT_JOINT_LIMIT * df["joint_limit_score"]
-        + WEIGHT_MANIPULABILITY * df["manipulability_score"]
-        + WEIGHT_SINGULARITY * df["singularity_score"]
-    )
-
-    # Comfortable binary classification.
-    df["comfortable"] = (
-        (df["reachable"] == True)
-        & (df["ik_success_rate"] >= 0.80)
-        & (df["joint_margin"] >= MIN_JOINT_MARGIN)
-        & (df["condition_number"] <= MAX_CONDITION_NUMBER)
-        & (df["manipulability_score"] >= MIN_MANIPULABILITY_RATIO)
-    )
-
-    return df
-
-
-# ============================================================
-# 8. PLOTTING
-# ============================================================
-
-def plot_workspace(df):
-    """
-    3D scatter plot:
-        gray/low = low comfort
-        brighter = higher comfort
-    """
-
-    reachable = df[df["reachable"] == True]
-
-    if len(reachable) == 0:
-        print("No reachable points found. Check your IK function.")
-        return
-
-    fig = plt.figure()
-    ax = fig.add_subplot(111, projection="3d")
-
-    sc = ax.scatter(
-        reachable["x"],
-        reachable["y"],
-        reachable["z"],
-        c=reachable["comfort_score"],
-        s=12,
-        alpha=0.8,
-    )
-
-    ax.set_title("RM75-B Comfortable Workspace")
-    ax.set_xlabel("X [m]")
-    ax.set_ylabel("Y [m]")
-    ax.set_zlabel("Z [m]")
-
-    fig.colorbar(sc, ax=ax, label="Comfort score")
-    plt.show()
-
-
-def plot_comfortable_only(df):
-    comfortable = df[df["comfortable"] == True]
-
-    if len(comfortable) == 0:
-        print("No comfortable points found under current thresholds.")
-        return
-
-    fig = plt.figure()
-    ax = fig.add_subplot(111, projection="3d")
-
-    ax.scatter(
-        comfortable["x"],
-        comfortable["y"],
-        comfortable["z"],
-        c=comfortable["comfort_score"],
-        s=16,
-        alpha=0.9,
-    )
-
-    ax.set_title("RM75-B Comfortable Region Only")
-    ax.set_xlabel("X [m]")
-    ax.set_ylabel("Y [m]")
-    ax.set_zlabel("Z [m]")
-
-    plt.show()
-
-
-# ============================================================
-# 9. ENTRY POINT
-# ============================================================
-
-if __name__ == "__main__":
-    df = evaluate_workspace()
-
-    df.to_csv(output_csv, index=False)
-
-    print(f"\nSaved result to: {output_csv}")
-
-    print("\nSummary:")
-    print(f"Total grid points:       {len(df)}")
-    print(f"Reachable points:        {df['reachable'].sum()}")
-    print(f"Comfortable points:      {df['comfortable'].sum()}")
-
-    if df["reachable"].sum() > 0:
-        print(f"Max comfort score:       {df['comfort_score'].max():.3f}")
-        print(f"Mean comfort score:      {df[df['reachable']]['comfort_score'].mean():.3f}")
-
-    plot_workspace(df)
-    plot_comfortable_only(df)

rm75_kinematics.py

@@ -1,18 +1,81 @@
-#!/usr/bin/env python3
-import sys
-import os
 
+
+'''
+Robotic arm kinematics solver for realman-75
+
+Files:
+    rm75_kinematics.py
+
+How to use:
+    Example in test1.py:
+        python test1.py
+'''
 import pinocchio as pin
+from Robotic_Arm.rm_robot_interface import *
 import numpy as np
 import osqp
 from scipy import sparse
-from math import radians, degrees, pi, cos, sin
+import math
-import time
+
-import threading
+
+class rm75_kinematics():
+    def __init__(self,urdf_path="", mesh_dir="", tcps=None,tools_in_ee=None,min_j=0.0, max_j=0.0):
+        self.robot_kine_qp = rm75_kine_qp(urdf_path=urdf_path, mesh_dir=mesh_dir)
+        self.robot_kine_qp.add_tool_frames(tools_in_ee)
+        self.robot_kine_qp.cfg_j_limit(min_j=min_j, max_j=max_j, rad_flag=True)
+
+        #   ----------      rm75 official algorithm         -----------
+        self.robot_kine_rm = rm75_kine_api()
+        self.robot_kine_rm.add_tool_frames(tools_in_ee)
+        self.robot_kine_rm.cfg_j_limit(min_j=min_j, max_j=max_j, rad_flag=True)
+
+        self.ik_sts = False
+        self.joint_solved = [0.0] * 7
+
+    def get_ik_result(self, target_position, target_rpy, initial_guess, tool):
+        '''
+        Try both the RM official solver and the QP solver; on success, store the result.
+        return: True if either solver succeeded, joint_solved in rad.
+        '''
+        ret_rm, q_out = self.robot_kine_rm.inverse_kinematics(target_position, target_rpy, initial_guess, tool)
+        if ret_rm != 0:
+            ret_rm, q_out = self.robot_kine_qp.inverse_kinematics(target_position=target_position, target_rpy=target_rpy, initial_guess=initial_guess, tool=tool, max_iter=300)
+
+        if ret_rm == 0:
+            self.joint_solved = q_out
+            self.ik_sts = True
+        else:
+            self.ik_sts = False
+
+        return self.ik_sts, self.joint_solved
+
+    def get_fk_result(self, joint_angles, tool):
+        '''
+        Get the forward kinematics result for given joint angles and tool.
+        :param joint_angles:   list of joint values, in rad
+        :param return:      [x,y,z,rx,ry,rz], m & rad
+        return: [x, y, z, rx, ry, rz] in meters and radians.
+        '''
+        fk_result = self.robot_kine_rm.forward_kinematics(joint_angles, flag=1, tool=tool)
+        return fk_result
+
+    def get_self_collision(self, joint_angles):
+        '''
+        Check for self-collision given joint angles.
+        :param joint_angles:   list of joint values, in rad
+        :return: True if self-collision is detected, False otherwise.
+        '''
+        collision_detected = self.robot_kine_qp.collision_detect(joint_angles)
+        return collision_detected
 
 
 
-class KinematicsSolver():
+
+
+
+
+
+class rm75_kine_qp():
     def __init__(self, urdf_path="urdf_rm75/RM75-B.urdf", mesh_dir="urdf_rm75", tcps=None):
         """
         for realman 75b
@@ -20,7 +83,7 @@ class KinematicsSolver():
         unit: m, rad
         """
         print(f' ------------  the qp based kinematic initialising   -----------')
-        self.model, self.collision_model, visual_model = pin.buildModelsFromUrdf(urdf_path, mesh_dir)
+        self.model = pin.buildModelFromUrdf(urdf_path)
 
         self.geom_model = pin.buildGeomFromUrdf(self.model, urdf_path, pin.GeometryType.COLLISION, mesh_dir)
         self.geom_model.addAllCollisionPairs()
@@ -179,7 +242,7 @@ class KinematicsSolver():
         if max_j is None:
             max_j = [3.14159, 2.2689, 3.14159, 2.3562, 3.14159, 2.234, 6.14159]
 
-        k = 1.0 if rad_flag is True else 1.0 / 180 * pi
+        k = 1.0 if rad_flag is True else 1.0 / 180 * math.pi
 
         for i in range(7):
             self.model.lowerPositionLimit[i] = min_j[i] * k
@@ -992,3 +1055,182 @@ class KinematicsSolver():
             all_active_joint_ids.append(active_joint_ids)
 
         return all_active_joint_ids
+
+
+
+
+
+
+class rm75_kine_api():
+    def __init__(self):
+        #   ----------      rm75 official algorithm         -----------
+        print(f'-------  the realman official kinematic initialising -------')
+        arm_model = rm_robot_arm_model_e.RM_MODEL_RM_75_E  # RM_75 Robotic arm
+        force_type = rm_force_type_e.RM_MODEL_RM_B_E  # Standard version
+        # Initialize the robotic arm model and sensor type in the algorithm
+        self.robot_kine_rm = Algo(arm_model, force_type)
+
+        self.cfg_j_limit()
+
+        self.work_frames = {
+            'work': rm_frame_t(frame_name="work", pose=(0.0, 0.0, 0.0, 0.0, 0, 0.0), payload=1, x=0, y=0, z=0),
+        }
+
+        self.tool_name = "no_tool"
+        self.work_name = "work"
+
+    def cfg_j_limit(self, min_j=None, max_j=None, rad_flag = True):
+        if max_j is None:
+            max_j = np.array([3.14159, 2.2689, 3.14159, 2.3562, 3.14159, 2.234, 3.14159])
+        if min_j is None:
+            min_j = np.array([ -3.14159, -2.2689, -3.14159, -2.3562, -3.14159, -2.234, -3.14159  ])
+
+        max_j = np.array(max_j)
+        min_j = np.array(min_j)
+        if rad_flag:
+            self.robot_kine_rm.rm_algo_set_joint_max_limit((max_j * 180 / math.pi).tolist())
+            self.robot_kine_rm.rm_algo_set_joint_min_limit((min_j * 180 / math.pi).tolist())
+        else:
+            self.robot_kine_rm.rm_algo_set_joint_max_limit(max_j.tolist())
+            self.robot_kine_rm.rm_algo_set_joint_min_limit(min_j.tolist())
+
+    def cfg_work_frame(self , frame_name):
+        self.robot_kine_rm.rm_algo_set_workframe(self.work_frames[frame_name])
+
+    def get_work_frame(self):
+        return self.robot_kine_rm.rm_algo_get_curr_workframe()
+
+    def cfg_tool_frame(self, frame_name ):
+        self.robot_kine_rm.rm_algo_set_toolframe(self.tool_frames[frame_name])
+
+    def get_tool_frame(self):
+        return self.robot_kine_rm.rm_algo_get_curr_toolframe()
+
+    def quaternion_to_euler(self, q):
+        """
+        Convert quaternion to Euler angles (roll, pitch, yaw)
+
+        Args:
+            qx, qy, qz, qw: quaternion components
+
+        Returns:
+            tuple: (roll, pitch, yaw) in radians
+        """
+        # Roll (x-axis rotation)
+        sinr_cosp = 2.0 * (q[3] * q[0] + q[1] * q[2])
+        cosr_cosp = 1.0 - 2.0 * (q[0] * q[0] + q[1] * q[1])
+        roll = np.arctan2(sinr_cosp, cosr_cosp)
+
+        # Pitch (y-axis rotation)
+        sinp = 2.0 * (q[3] * q[1] - q[2] * q[0])
+        if abs(sinp) >= 1:
+            pitch = np.copysign(np.pi / 2, sinp)  # Use 90 degrees if out of range
+        else:
+            pitch = np.arcsin(sinp)
+
+        # Yaw (z-axis rotation)
+        siny_cosp = 2.0 * (q[3] * q[2] + q[0] * q[1])
+        cosy_cosp = 1.0 - 2.0 * (q[1] * q[1] + q[2] * q[2])
+        yaw = np.arctan2(siny_cosp, cosy_cosp)
+
+        return [roll, pitch, yaw]
+
+    def add_tool_frames(self, dict_frames):
+        self.tool_frames = {}
+        for tool_name in dict_frames:
+            tool_attr = dict_frames[tool_name]
+            position = tool_attr[0][0:3]
+            rotationXYZ = self.quaternion_to_euler(tool_attr[0][3:7])
+            f = rm_frame_t(frame_name=tool_name, pose=(position[0], position[1], position[2], rotationXYZ[0], rotationXYZ[1], rotationXYZ[2]), payload=1, x=0, y=0, z=0)
+
+            self.tool_frames.update({tool_name:f})
+
+    def forward_kinematics(self, joint_angles, flag  = 1  , tool="omnipic", work="work"):
+        '''
+        :param joint_angles:   list of joint values, in rad
+        :param flag:       0: return list [x,y,z,w,x,y,z]. 1: return list [x,y,z,rx,ry,rz]
+        :param return:      [x,y,z,rx,ry,rz], m & rad
+        '''
+        if tool != self.tool_name:
+            self.tool_name = tool
+            self.cfg_tool_frame(tool)
+        if work != self.work_name:
+            self.work_name = work
+            self.cfg_work_frame(work)
+        return self.robot_kine_rm.rm_algo_forward_kinematics(joint=[float(q_s)*180.0/math.pi for q_s in joint_angles]  , flag=flag)
+
+    def inverse_kinematics(self, target_position, target_rpy=None, initial_guess=None, tool="omnipic", work="work", step_arm_angle = 15.0):
+        '''
+        :param target_position:     list of position values, m
+        :param target_rpy:          list of rpy values, rad
+        :param initial_guess:       initial guess of angles, rad
+        :param tool:                tool name, refer to self.tool_frames
+        :param work:                work name, refer to self.work_frames
+
+        return  ret:                 state of ik calculation, 0:success, -2: out of workspace
+                [q_]:               the ik calculated angles for joints, rad
+        '''
+        if tool != self.tool_name:
+            self.tool_name = tool
+            self.cfg_tool_frame(tool)
+        if work != self.work_name:
+            self.work_name = work
+            self.cfg_work_frame(work)
+
+        target = list(target_position) + list(target_rpy)
+
+        if initial_guess is not None:
+            q_ref = [ 180/math.pi * ig for ig in  initial_guess ]
+        else:
+            q_ref = [0.0, 110.0, 20.0, 40.0, 30.0, 180.0, 20.0]
+        ret, phi0 = self.robot_kine_rm.rm_algo_calculate_arm_angle_from_config_rm75(q_ref)
+        params = rm_inverse_kinematics_params_t(q_ref, target, 1)
+
+        offsets = [0.0]
+        arm_angle = step_arm_angle
+        while arm_angle <= 180.0:
+            offsets += [arm_angle, -arm_angle]
+            arm_angle += step_arm_angle
+
+        best_ret, best_q_out, best_dis = -1, None, None
+        for offset in offsets:
+            phi = ((phi0 + offset + 180.0) % 360.0) - 180.0
+            ret, q_out = self.robot_kine_rm.rm_algo_inverse_kinematics_rm75_for_arm_angle(params, phi)
+            if int(ret) != 0:
+                if best_q_out is None:
+                    best_ret, best_q_out = ret, q_out
+                continue
+
+            p_fk = self.robot_kine_rm.rm_algo_forward_kinematics(joint=q_out, flag=1)
+            pose_dis = cal_pose_deviation(p_fk, target)
+            if pose_dis < 0.01:
+                #   success in ik calculation
+                return ret, [q / 180 * math.pi for q in q_out]
+
+            if best_dis is None or pose_dis < best_dis:
+                best_ret, best_q_out, best_dis = -10, q_out, pose_dis
+
+        ret, q_out = self.robot_kine_rm.rm_algo_inverse_kinematics_rm75_for_arm_angle(params, phi)
+        pose_fk = self.robot_kine_rm.rm_algo_forward_kinematics(joint=q_out, flag=1)
+        pose_dis = cal_pose_deviation(pose_fk, target)
+
+        # print(f'target pose is {target}, fk pose is {pose_fk}, dis of poses is {pose_dis}')
+        #
+        # print(f'\nin the rm75_kine_rm, l133, inverse_kinematics, q_ref = {q_ref}, target = {target}  phi = {phi}, q_out = {q_out}, ret = {ret}\n\n')
+        # print(f'the tool frame is {self.robot_kine_rm.rm_algo_get_curr_toolframe()}')
+        if int(ret) < 0:
+            return ret, [ q/180*math.pi for q in q_out]
+        elif pose_dis < 0.01:
+            return ret, [ q/180*math.pi for q in q_out]
+        else:
+            return -10, [ q/180*math.pi for q in q_out]
+
+def cal_pose_deviation(pose1, pose2):
+    d_fk_p1 = np.array(pose1) - np.array(pose2)
+    for j in [3, 4, 5]:
+        while d_fk_p1[j] > math.pi:
+            d_fk_p1[j] -= 2 * math.pi
+        while d_fk_p1[j] < -math.pi:
+            d_fk_p1[j] += 2 * math.pi
+    d_fk = np.linalg.norm(d_fk_p1)
+    return d_fk

test1.py

@@ -0,0 +1,48 @@
+
+
+#   conda activate coppeliasim
+#   env fix, in terminal:  fix_robotics_env.sh
+
+from  rm75_kinematics import rm75_kinematics
+
+from math import pi
+import numpy as np
+
+#   pose expression of tool-tip in end-effector, x y z quatx quaty quatz quatw
+#   load: kg, mass_center_x in ee frame: m, y, z, then last threes are for filling
+tools_in_ee = {
+    'scissor': np.array([[0.0, 0.0, 0.19, 0.0, 0.0, 0.0, 1.0],[0.66, 0.0, 0.0, 0.06, 0.0, 0.0, 0.0]],dtype=np.float64),
+    'omnipic': np.array([[0.0, 0.0, 0.16, 0.0, 0.0, 0.0, 1.0],[0.43, 0.0, 0.0, 0.06, 0.0, 0.0, 0.0]],dtype=np.float64),
+    'minisci': np.array([[0.0, 0.0, 0.19, 0.0, 0.0, 0.0, 1.0],[0.46, 0.0, 0.0, 0.06, 0.0, 0.0, 0.0]],dtype=np.float64),
+    'no_tool': np.array([[0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0],[0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]],dtype=np.float64),
+}
+
+# joint limit
+ub = np.array([179.0, 129.0, 179.0, 134, 179.0, 127.0, 359.0])/180*pi
+lb = -ub
+
+tool_name = "scissor"
+
+def main():
+    """Demonstrate pure position control"""
+
+    # Create controller
+
+    robot_kine = rm75_kinematics(urdf_path='urdf_rm75/RM75-SCI.urdf', mesh_dir='urdf_rm75',
+                                 tcps=["scissor_tcp", "camera_tcp"], tools_in_ee=tools_in_ee, min_j=lb, max_j=ub)
+
+    ret_ik, q = robot_kine.get_ik_result(target_position=[0.2, -0.2 , 0.5 ], target_rpy=[0.2022060487764064, -0.0097962261845583, -0.6518417572686532],
+                                                 initial_guess=[0.1] * 7, tool=tool_name)
+
+    self_collision_sts = robot_kine.get_self_collision(q)
+
+    p = robot_kine.get_fk_result(joint_angles=q,tool=tool_name)
+
+    print(f'self_collision_sts: {self_collision_sts}')
+
+
+
+
+
+if __name__ == "__main__":
+    main()

test2.py

@@ -0,0 +1,90 @@
+
+
+#   conda activate coppeliasim
+#   env fix, in terminal:  fix_robotics_env.sh
+
+from rm75_kinematics import rm75_kinematics
+
+from math import pi
+import numpy as np
+
+#   pose expression of tool-tip in end-effector, x y z quatx quaty quatz quatw
+#   load: kg, mass_center_x in ee frame: m, y, z, then last threes are for filling
+tools_in_ee = {
+    'scissor': np.array([[0.0, 0.0, 0.19, 0.0, 0.0, 0.0, 1.0],[0.66, 0.0, 0.0, 0.06, 0.0, 0.0, 0.0]],dtype=np.float64),
+    'omnipic': np.array([[0.0, 0.0, 0.16, 0.0, 0.0, 0.0, 1.0],[0.43, 0.0, 0.0, 0.06, 0.0, 0.0, 0.0]],dtype=np.float64),
+    'minisci': np.array([[0.0, 0.0, 0.19, 0.0, 0.0, 0.0, 1.0],[0.46, 0.0, 0.0, 0.06, 0.0, 0.0, 0.0]],dtype=np.float64),
+    'no_tool': np.array([[0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0],[0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]],dtype=np.float64),
+}
+
+# joint limit
+ub = np.array([179.0, 129.0, 179.0, 134, 179.0, 127.0, 359.0])/180*pi
+lb = -ub
+
+tool_name = "scissor"
+
+def main():
+    """Demonstrate pure position control"""
+
+    # Create controller
+
+    robot_kine = rm75_kinematics(urdf_path='urdf_rm75/RM75-SCI.urdf', mesh_dir='urdf_rm75',
+                                 tcps=["scissor_tcp", "camera_tcp"], tools_in_ee=tools_in_ee, min_j=lb, max_j=ub)
+
+    ret_ik, q = robot_kine.get_ik_result(target_position=[0.2, -0.2 , 0.5 ], target_rpy=[0.2022060487764064, -0.0097962261845583, -0.6518417572686532],
+                                                 initial_guess=[0.1] * 7, tool=tool_name)
+
+    self_collision_sts = robot_kine.get_self_collision(q)
+
+    p = robot_kine.get_fk_result(joint_angles=q,tool=tool_name)
+
+    print(f'self_collision_sts: {self_collision_sts}')
+
+    import numpy as np
+
+    ik_suc = 0
+
+    for i in range(100):
+        joint_rand = np.random.uniform(ub, lb)
+
+        p_t = robot_kine.get_fk_result(joint_angles=joint_rand.tolist(), tool=tool_name)
+
+        joint_rand_init = np.random.uniform(ub, lb)
+
+        ret_ik, q = robot_kine.get_ik_result(target_position=p_t[0:3], target_rpy=p_t[3:6],
+                                             initial_guess=joint_rand_init, tool=tool_name)
+
+
+
+
+        p_fk = robot_kine.get_fk_result(joint_angles=q, tool=tool_name)
+
+        d_p_ik = cal_pose_deviation(pose1=p_t, pose2=p_fk)
+
+        coll_sts = robot_kine.get_self_collision(joint_angles=q)
+        if ret_ik == True:
+
+            print(f'\n---- success, in the ik, j_t = {joint_rand}, q = {q}, p_t = {p_t}, d_p_ik = {d_p_ik}, self-collision_sts = {coll_sts}')
+
+            ik_suc += 1
+        else:
+            print(f'\n**** ik failed, in the ik, j_t = {joint_rand}, q={q}, p_t = {p_t}, d_p_ik = {d_p_ik}, self-collision_sts = {coll_sts}')
+
+
+    print(f'ik_suc: {ik_suc}')
+
+
+def cal_pose_deviation(pose1, pose2):
+    d_fk_p1 = np.array(pose1) - np.array(pose2)
+    for j in [3, 4, 5]:
+        while d_fk_p1[j] > pi:
+            d_fk_p1[j] -= 2 * pi
+        while d_fk_p1[j] < -pi:
+            d_fk_p1[j] += 2 * pi
+    d_fk = np.linalg.norm(d_fk_p1)
+    return d_fk
+
+
+
+if __name__ == "__main__":
+    main()