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    from typing import Tuple, List
    
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    import numpy as np 
    from scipy.integrate import ode
    
    
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    from dryvr_plus_plus.scene_verifier.agents.base_agent import BaseAgent
    from dryvr_plus_plus.scene_verifier.map.lane_map import LaneMap
    
    from dryvr_plus_plus.scene_verifier.code_parser.pythonparser import EmptyAst
    
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    class NPCAgent(BaseAgent):
    
        def __init__(self, id):
    
            self.id = id
            self.controller = EmptyAst()
    
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        @staticmethod
        def dynamic(t, state, u):
            x, y, theta, v = state
            delta, a = u  
            x_dot = v*np.cos(theta+delta)
            y_dot = v*np.sin(theta+delta)
            theta_dot = v/1.75*np.sin(delta)
            v_dot = a 
            return [x_dot, y_dot, theta_dot, v_dot]
    
        def action_handler(self, mode, state, lane_map:LaneMap)->Tuple[float, float]:
            x,y,theta,v = state
            vehicle_mode = mode[0]
            vehicle_lane = mode[1]
            vehicle_pos = np.array([x,y])
            d = -lane_map.get_lateral_distance(vehicle_lane, vehicle_pos)
            psi = lane_map.get_lane_heading(vehicle_lane, vehicle_pos)-theta
            steering = psi + np.arctan2(0.45*d, v)
            steering = np.clip(steering, -0.61, 0.61)
            a = 0
            return steering, a  
    
    
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        def TC_simulate(self, mode: List[str], initialCondition, time_bound, lane_map:LaneMap=None)->np.ndarray:
    
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            time_step = 0.05
            time_bound = float(time_bound)
            number_points = int(np.ceil(time_bound/time_step))
            t = [i*time_step for i in range(0,number_points)]
    
            init = initialCondition
            trace = [[0]+init]
            for i in range(len(t)):
                steering, a = self.action_handler(mode, init, lane_map)
                r = ode(self.dynamic)    
                r.set_initial_value(init).set_f_params([steering, a])      
                res:np.ndarray = r.integrate(r.t + time_step)
                init = res.flatten().tolist()
                trace.append([t[i] + time_step] + init) 
    
            return np.array(trace)
    
    class CarAgent(BaseAgent):
        def __init__(self, id, code = None, file_name = None):
            super().__init__(id, code, file_name)
    
        @staticmethod
        def dynamic(t, state, u):
            x, y, theta, v = state
            delta, a = u  
            x_dot = v*np.cos(theta+delta)
            y_dot = v*np.sin(theta+delta)
            theta_dot = v/1.75*np.sin(delta)
            v_dot = a 
            return [x_dot, y_dot, theta_dot, v_dot]
    
    
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        def action_handler(self, mode: List[str], state, lane_map:LaneMap)->Tuple[float, float]:
    
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            x,y,theta,v = state
            vehicle_mode = mode[0]
            vehicle_lane = mode[1]
            vehicle_pos = np.array([x,y])
            a = 0
            if vehicle_mode == "Normal":
                d = -lane_map.get_lateral_distance(vehicle_lane, vehicle_pos)
            elif vehicle_mode == "SwitchLeft":
                d = -lane_map.get_lateral_distance(vehicle_lane, vehicle_pos) + 3
            elif vehicle_mode == "SwitchRight":
                d = -lane_map.get_lateral_distance(vehicle_lane, vehicle_pos) - 3
            elif vehicle_mode == "Brake":
                d = -lane_map.get_lateral_distance(vehicle_lane, vehicle_pos)
                a = -1    
                if v<=0.02:
                    a = 0
            elif vehicle_mode == 'Stop':
                d = -lane_map.get_lateral_distance(vehicle_lane, vehicle_pos)
                a = 0
            psi = lane_map.get_lane_heading(vehicle_lane, vehicle_pos)-theta
            steering = psi + np.arctan2(0.45*d, v)
            steering = np.clip(steering, -0.61, 0.61)
            return steering, a  
    
    
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        def TC_simulate(self, mode: List[str], initialCondition, time_bound, lane_map:LaneMap=None)->np.ndarray:
    
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            time_step = 0.05
            time_bound = float(time_bound)
            number_points = int(np.ceil(time_bound/time_step))
            t = [i*time_step for i in range(0,number_points)]
    
            init = initialCondition
            trace = [[0]+init]
            for i in range(len(t)):
                steering, a = self.action_handler(mode, init, lane_map)
                r = ode(self.dynamic)    
                r.set_initial_value(init).set_f_params([steering, a])      
                res:np.ndarray = r.integrate(r.t + time_step)
                init = res.flatten().tolist()
                if init[3] < 0:
                    init[3] = 0
                trace.append([t[i] + time_step] + init) 
    
            return np.array(trace)