From e8fad844b4f1e142141cc13a7278d74d8e84ae75 Mon Sep 17 00:00:00 2001 From: Yangge Li <li213@illinois.edu> Date: Wed, 26 Oct 2022 22:17:57 -0500 Subject: [PATCH] working on drone version of tutorial --- demo/tacas2023/exp1/output1.json | 56542 +++++++++++++------------- setup.py | 2 +- tutorial/Verse_Tutorial.ipynb | 772 - tutorial/Verse_Tutorial_Drone.ipynb | 916 + tutorial/dl_sec1.py | 39 +- tutorial/dl_sec2.py | 75 +- tutorial/dl_sec3.py | 93 +- tutorial/test.py | 131 +- tutorial/tutorial_agent.py | 182 +- tutorial/tutorial_map.py | 102 + tutorial/tutorial_utils.py | 187 +- verse/map/lane_3d.py | 3 +- verse/map/lane_map_3d.py | 41 +- verse/plotter/plotter3D.py | 19 +- verse/plotter/plotter3D_new.py | 1 - 15 files changed, 29878 insertions(+), 29227 deletions(-) delete mode 100644 tutorial/Verse_Tutorial.ipynb create mode 100644 tutorial/Verse_Tutorial_Drone.ipynb diff --git a/demo/tacas2023/exp1/output1.json b/demo/tacas2023/exp1/output1.json index a41b4d4b..c55516f8 100644 --- a/demo/tacas2023/exp1/output1.json +++ b/demo/tacas2023/exp1/output1.json @@ -174,7 +174,7 @@ [ 0.6, 10.22982409802144, - 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"Pympler" + "Pympler", "nbformat", ], classifiers=[ diff --git a/tutorial/Verse_Tutorial.ipynb b/tutorial/Verse_Tutorial.ipynb deleted file mode 100644 index bd804b60..00000000 --- a/tutorial/Verse_Tutorial.ipynb +++ /dev/null @@ -1,772 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "9cb21069", - "metadata": {}, - "source": [ - "# 1. Getting Started" - ] - }, - { - "cell_type": "markdown", - "id": "6ee9346d", - "metadata": {}, - "source": [ - "A verse scenario is defined by a map, a set of agents and, if there exist multiple agents, a sensor. " - ] - }, - { - "cell_type": "markdown", - "id": "d34d63e6", - "metadata": {}, - "source": [ - "In this section, we are going to look at how to create a simple scenario in Verse. In this scenario we will have only one car following a straight lane and will brake after reaching a certain position. " - ] - }, - { - "cell_type": "markdown", - "id": "5e80ec75", - "metadata": {}, - "source": [ - "## 1.1 Instantiate map\n", - "The map of a scenario specifies the tracks that the agents can follow. In this example, we will only look at a simple map we one straight lane aligned with the x-axis with type <code>T0</code>, which are also referred as track mode in later sections. We will talk about how to create more interesting maps in later sections" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "d789ceb2", - "metadata": {}, - "outputs": [], - "source": [ - "from tutorial_map import M1\n", - "\n", - "map1 = M1()" - ] - }, - { - "cell_type": "markdown", - "id": "3b120f0c", - "metadata": {}, - "source": [ - "## 1.2 Creating agent\n", - "To create such a scenario in Verse, we first need to create an agent for Verse. An agent in Verse is defined by a set of tactical modes, a decision logic to determine the transition between tactical modes, and a flow function that defines continuous evolution. The agent's tactical mode and decision logic are provided as python code strings and the flow function is provided as a python function. " - ] - }, - { - "cell_type": "markdown", - "id": "96d7ce5e", - "metadata": {}, - "source": [ - "The tactical mode of the agents corresponds to an agent's decision. For example, in this car braking example, the tactical mode for the agent can be <code>Normal</code> and <code>Brake</code>. The decision logic also need to know the available track modes from the map. The tactical modes and track modes are provided as <code>Enums</code> to Verse. " - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "0fbb7f1f", - "metadata": {}, - "outputs": [], - "source": [ - "from enum import Enum, auto\n", - "\n", - "class AgentMode(Enum):\n", - " Normal = auto()\n", - " Brake = auto()\n", - " \n", - "class TrackMode(Enum):\n", - " T0 = auto()" - ] - }, - { - "cell_type": "markdown", - "id": "25ec7639", - "metadata": {}, - "source": [ - "We also require the user to provide the continuous and discrete variables of the agents together with the decision logic. The variables are provided inside class with name <code>State</code>. Variables end with <code>_mode</code> will be identify by verse as discrete variables. In the example below, <code>agent_mode</code> and <code>track_mode</code> are the discrete variables and <code>x</code>, <code>y</code>, <code>theta</code>, <code>v</code> are the continuous variables. The type hints for the discrete variables are necessary to associate discrete variables with the tactical modes and lane modes defined above" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "7edf89dc", - "metadata": {}, - "outputs": [], - "source": [ - "class State:\n", - " x:float\n", - " y:float\n", - " theta:float\n", - " v:float\n", - " agent_mode:AgentMode \n", - " track_mode:TrackMode \n", - "\n", - " def __init__(self, x, y, theta, v, agent_mode: AgentMode, track_mode: TrackMode):\n", - " pass" - ] - }, - { - "cell_type": "markdown", - "id": "3b0ea818", - "metadata": {}, - "source": [ - "The decision logic describe for an agent takes as input its current state and the (observable) states of the other agents if there's any, and updates the tactical mode of the ego agent. In this example, the decision logic is traight forward: When the x position of the car is above certain threshold, the car will starts to brake. This's no other agents in this scenario. The decision logic of the agent can be written in an expressive subset of Python inside function <code>decisionLogic</code>. " - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "ba6e3ba2", - "metadata": {}, - "outputs": [], - "source": [ - "import copy\n", - "def decisionLogic(ego:State, track_map):\n", - " output = copy.deepcopy(ego)\n", - " if ego.agent_mode == AgentMode.Normal:\n", - " if ego.x > 10:\n", - " output.agent_mode = AgentMode.Brake\n", - " return output" - ] - }, - { - "cell_type": "markdown", - "id": "a6a323e4", - "metadata": {}, - "source": [ - "We incoperate the above definition of tactical modes and decision logic into code strings and combine it with an imported agent flow, we can then obtain the agent for this sceanrio. " - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "61837729", - "metadata": {}, - "outputs": [], - "source": [ - "from tutorial_agent import Agent1\n", - "car = Agent1('car', file_name=\"dl_sec1.py\")" - ] - }, - { - "cell_type": "markdown", - "id": "9eb4979a", - "metadata": {}, - "source": [ - "## 1.3 Creating scenario\n", - "With the agent and map defined, we can now define the scenario." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "b046fe36", - "metadata": {}, - "outputs": [], - "source": [ - "from verse.scenario import Scenario\n", - "scenario = Scenario()" - ] - }, - { - "cell_type": "markdown", - "id": "549cd907", - "metadata": {}, - "source": [ - "We can set the initial condition of the agent and add the agent " - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "6f54eada", - "metadata": {}, - "outputs": [], - "source": [ - "car.set_initial([[0,-0.5,0,2],[1,0.5,0,2]], (AgentMode.Normal, TrackMode.T0))\n", - "scenario.add_agent(car)" - ] - }, - { - "cell_type": "markdown", - "id": "2366ed3a", - "metadata": {}, - "source": [ - "and set the map for the sceanrio" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "a1e2a90c", - "metadata": {}, - "outputs": [], - "source": [ - "scenario.set_map(map1)" - ] - }, - { - "cell_type": "markdown", - "id": "52b2b0cb", - "metadata": {}, - "source": [ - "Since we only have one agent in the scenario, we don't need to specify a sensor. " - ] - }, - { - "cell_type": "markdown", - "id": "b9e32951", - "metadata": {}, - "source": [ - "We can then compute simulation traces or reachable states for the scenario" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "cc1cdb50", - "metadata": {}, - "outputs": [], - "source": [ - "traces_simu = scenario.simulate(10, 0.01)\n", - "traces_veri = scenario.verify(10, 0.01)" - ] - }, - { - "cell_type": "markdown", - "id": "4e33613e", - "metadata": {}, - "source": [ - "We can visualize the results using functions provided with Verse" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "c1d70fcf", - "metadata": {}, - "outputs": [], - "source": [ - "import plotly.graph_objects as go\n", - "from verse.plotter.plotter2D import *\n", - "\n", - "fig = go.Figure()\n", - "fig = simulation_tree(traces_simu, None, fig, 0, 1, [0, 1], 'lines', 'trace')\n", - "fig.show()\n", - "\n", - "fig = go.Figure()\n", - "fig = reachtube_tree(traces_veri, None, fig, 0, 1, [0, 1], 'lines', 'trace')\n", - "fig.show()" - ] - }, - { - "cell_type": "markdown", - "id": "1e162f7f", - "metadata": {}, - "source": [ - "# 2. Adding multiple agents" - ] - }, - { - "cell_type": "markdown", - "id": "e947eec4", - "metadata": {}, - "source": [ - "In the previous section, we played around with a scenario with a single vehicle. In this example, we will create a scenario with multiple agents and explore the potential of Verse to handle multi-agent scenarios. " - ] - }, - { - "cell_type": "markdown", - "id": "7c233fa9", - "metadata": {}, - "source": [ - "In this example, we will look at a two car braking example. Two cars will be running in same direction on the same lane with the front car running slower than the later car. The later car will brake and stop when it gets in 5m from the front car. " - ] - }, - { - "cell_type": "markdown", - "id": "cbe185ab", - "metadata": {}, - "source": [ - "We will first setup a new scenario and add the map." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "a7ce4fd2", - "metadata": {}, - "outputs": [], - "source": [ - "from verse.scenario import Scenario\n", - "from tutorial_map import M1\n", - "scenario = Scenario()\n", - "scenario.set_map(M1())" - ] - }, - { - "cell_type": "markdown", - "id": "ddae7760", - "metadata": {}, - "source": [ - "We will use the same tactical mode, track mode and state definition as last section." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "32205aa3", - "metadata": {}, - "outputs": [], - "source": [ - "from enum import Enum, auto\n", - "\n", - "class AgentMode(Enum):\n", - " Normal = auto()\n", - " Brake = auto()\n", - " \n", - "class TrackMode(Enum):\n", - " T0 = auto()\n", - " \n", - "class State:\n", - " x:float\n", - " y:float\n", - " theta:float\n", - " v:float\n", - " agent_mode:AgentMode \n", - " track_mode:TrackMode \n", - "\n", - " def __init__(self, x, y, theta, v, agent_mode: AgentMode, track_mode: TrackMode):\n", - " pass" - ] - }, - { - "cell_type": "markdown", - "id": "38300e84", - "metadata": {}, - "source": [ - "Verse's decision logic support python <code>any</code> and <code>all</code> functions, which allows the decision logic to quantify over other agents in the scenario. This enable user to easily create multi-agent scenario. In this case, the decision logic will take an additional argument <code>others</code>, which provides the states for other agents. Notice the type hint for both <code>ego</code> and <code>others</code>. The updated agent's decision logic looks like following." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "57d0747c", - "metadata": {}, - "outputs": [], - "source": [ - "from typing import List\n", - "import copy\n", - "def decisionLogic(ego:State, others: List[State], track_map):\n", - " output = copy.deepcopy(ego)\n", - " if ego.agent_mode == AgentMode.Normal:\n", - " if any(other.x-ego.x< 8 and other.x-ego.x>0 for other in others):\n", - " output.agent_mode = AgentMode.Brake\n", - " return output" - ] - }, - { - "cell_type": "markdown", - "id": "7c927d21", - "metadata": {}, - "source": [ - "With the updated decision logic, we can now spawn the two agents with their initial conditions. " - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "2187c4b7", - "metadata": {}, - "outputs": [], - "source": [ - "from tutorial_agent import Agent1\n", - "car1 = Agent1('car1', file_name=\"dl_sec2.py\")\n", - "car1.set_initial([[0,-0.5,0,2],[1,0.5,0,2]], (AgentMode.Normal, TrackMode.T0))\n", - "car2 = Agent1('car2', file_name=\"dl_sec2.py\")\n", - "car2.set_initial([[15,-0.5,0,1],[16,0.5,0,1]], (AgentMode.Normal, TrackMode.T0))" - ] - }, - { - "cell_type": "markdown", - "id": "518d6ea4", - "metadata": {}, - "source": [ - "We can then add both agents to the scenario" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "a16287c3", - "metadata": {}, - "outputs": [], - "source": [ - "scenario.add_agent(car1)\n", - "scenario.add_agent(car2)" - ] - }, - { - "cell_type": "markdown", - "id": "468ca941", - "metadata": {}, - "source": [ - "With multiple agents in the scenario, we now need to add the sensor. The sensor defines how an agent is visible to other agents. In this example, we will use the default sensor function, which allows all agents to see all variables of other agents. " - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "d39dbe69", - "metadata": {}, - "outputs": [], - "source": [ - "from tutorial_sensor import DefaultSensor\n", - "scenario.set_sensor(DefaultSensor())" - ] - }, - { - "cell_type": "markdown", - "id": "db79f70b", - "metadata": {}, - "source": [ - "With the scenario fully constructed, we can now simulte or verify the scenario using the simulate/verify function provided by Verse. " - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "c48ad5ad", - "metadata": {}, - "outputs": [], - "source": [ - "traces_simu = scenario.simulate(10, 0.01)\n", - "traces_veri = scenario.verify(10, 0.01)" - ] - }, - { - "cell_type": "markdown", - "id": "fe9981ec", - "metadata": {}, - "source": [ - "We can visualize the results using functions provided with Verse" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "5d180128", - "metadata": {}, - "outputs": [], - "source": [ - "import plotly.graph_objects as go\n", - "from verse.plotter.plotter2D import *\n", - "\n", - "fig = go.Figure()\n", - "fig = simulation_tree(traces_simu, None, fig, 0, 1, [0, 1], 'lines', 'trace')\n", - "fig.show()\n", - "\n", - "fig = go.Figure()\n", - "fig = reachtube_tree(traces_veri, None, fig, 0, 1, [0, 1], 'lines', 'trace')\n", - "fig.show()" - ] - }, - { - "cell_type": "markdown", - "id": "42c81f78", - "metadata": {}, - "source": [ - "# 3. Adding safety assertions" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "d046cc9d", - "metadata": {}, - "outputs": [], - "source": [ - "from verse.scenario import Scenario\n", - "from tutorial_map import M1\n", - "scenario = Scenario()\n", - "scenario.config.init_seg_length = 5\n", - "scenario.set_map(M1())" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "9f137299", - "metadata": {}, - "outputs": [], - "source": [ - "from enum import Enum, auto\n", - "\n", - "class AgentMode(Enum):\n", - " Normal = auto()\n", - " Brake = auto()\n", - " \n", - "class TrackMode(Enum):\n", - " T0 = auto()\n", - " \n", - "class State:\n", - " x:float\n", - " y:float\n", - " theta:float\n", - " v:float\n", - " agent_mode:AgentMode \n", - " track_mode:TrackMode \n", - "\n", - " def __init__(self, x, y, theta, v, agent_mode: AgentMode, track_mode: TrackMode):\n", - " pass" - ] - }, - { - "cell_type": "markdown", - "id": "ea4a9f2c", - "metadata": {}, - "source": [ - "Verse allow checking safety conditions while performing simulation and verification. The safety conditions in verse can be specified using Python assert statements in the decision logic. With the <code>any</code> and <code>all</code> functions, the user can also define safety conditions between different agents. In this example, we are going to add a safety condition that the distance between two agents in x direction should always be greater than or equan to 1.0m. The updated decision logic is shown below. " - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "7a5d64cb", - "metadata": {}, - "outputs": [], - "source": [ - "from typing import List\n", - "import copy\n", - "def decisionLogic(ego:State, others: List[State], track_map):\n", - " output = copy.deepcopy(ego)\n", - " if ego.agent_mode == AgentMode.Normal:\n", - " if any( other.x-ego.x< 8 and other.x-ego.x>0 for other in others):\n", - " output.agent_mode = AgentMode.Brake\n", - " \n", - " ### Adding safety assertions\n", - " assert not any(other.x-ego.x<1.0 and other.x-ego.x>-1.0 for other in others), 'Seperation'\n", - " ##########\n", - " \n", - " return output" - ] - }, - { - "cell_type": "markdown", - "id": "361154ca", - "metadata": {}, - "source": [ - "We can then construct the two agents and the scenario exactly as previous section." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "4251f544", - "metadata": {}, - "outputs": [], - "source": [ - "from tutorial_agent import Agent1\n", - "car1 = Agent1('car1', file_name=\"dl_sec3.py\")\n", - "car1.set_initial([[0,-0.5,0,2],[1,0.5,0,2]], (AgentMode.Normal, TrackMode.T0))\n", - "car2 = Agent1('car2', file_name=\"dl_sec3.py\")\n", - "car2.set_initial([[15,-0.5,0,1],[16,0.5,0,1]], (AgentMode.Normal, TrackMode.T0))\n", - "scenario.add_agent(car1)\n", - "scenario.add_agent(car2)\n", - "from tutorial_sensor import DefaultSensor\n", - "scenario.set_sensor(DefaultSensor())" - ] - }, - { - "cell_type": "markdown", - "id": "5cb2f06a", - "metadata": {}, - "source": [ - "We can then simulate and verify the scenario and visualize the result. We can see from the result that this scenario is safe. " - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "736897de", - "metadata": {}, - "outputs": [], - "source": [ - "traces_simu = scenario.simulate(10, 0.01)\n", - "traces_veri = scenario.verify(10, 0.01)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "e31dc9ff", - "metadata": {}, - "outputs": [], - "source": [ - "import plotly.graph_objects as go\n", - "from verse.plotter.plotter2D import *\n", - "\n", - "fig = go.Figure()\n", - "fig = simulation_tree(traces_simu, None, fig, 0, 1, [0, 1], 'lines', 'trace')\n", - "fig.show()\n", - "\n", - "fig = go.Figure()\n", - "fig = reachtube_tree(traces_veri, None, fig, 0, 1, [0, 1], 'lines', 'trace')\n", - "fig.show()" - ] - }, - { - "cell_type": "markdown", - "id": "19ec1f20", - "metadata": {}, - "source": [ - "If we tweak the initial condition of car1 by increasing it's speed to 6m/s and redo verification, the safety condition is violated and the result is shown in the plot. " - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "c6682e63", - "metadata": {}, - "outputs": [], - "source": [ - "scenario.set_init_single('car1',[[0,-0.5,0,5],[1,0.5,0,5]], (AgentMode.Normal, TrackMode.T0))\n", - "\n", - "traces_veri = scenario.verify(10, 0.01)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "5393d213", - "metadata": {}, - "outputs": [], - "source": [ - "import plotly.graph_objects as go\n", - "from verse.plotter.plotter2D import *\n", - "\n", - "fig = go.Figure()\n", - "fig = reachtube_tree(traces_veri, None, fig, 0, 1, [0, 1], 'lines', 'trace')\n", - "fig.show()" - ] - }, - { - "cell_type": "markdown", - "id": "351d0b71", - "metadata": {}, - "source": [ - "# 4. Creating agent flow" - ] - }, - { - "cell_type": "markdown", - "id": "9ed472ab", - "metadata": {}, - "source": [ - "In previous sections, we discussed about how to create the decision logic for agents in Verse, in section we will look into detail about how the agent flows are specified and how the pieces are combined together for an agent in Verse. " - ] - }, - { - "cell_type": "markdown", - "id": "dd2ddad5", - "metadata": {}, - "source": [ - "The flow function define the continuous time evolution of agents' continuous states. It takes as input the initial states of the agent and the a time, and outputs the state of the agent from that initial states at that time. In Verse, the flow function is implemented by the <code>TC_simulate</code> function in the agent class. The <code>TC_simulate</code> takes as input a mode, a initial continuous states, a time bound, a simulation time step and the map. It will output simulation of agent dynamics at given mode starting from the initial continuous states, until the time bound with time step as an np array. Below shows an implementation of the <code>TC_simulate</code> function for the car agent. Note some detail helper functions for the car dynamics placed in <code>tutorial_utils</code> are not shown explicitly in the example below. " - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "c1dda851", - "metadata": {}, - "outputs": [], - "source": [ - "from tutorial_utils import car_dynamics, car_action_handler\n", - "import numpy as np \n", - "from scipy.integrate import ode\n", - "\n", - "def TC_simulate(self, mode: List[str], initialCondition, time_bound, time_step, track_map=None)->np.ndarray:\n", - " time_bound = float(time_bound)\n", - " number_points = int(np.ceil(time_bound/time_step))\n", - " t = [round(i*time_step,10) for i in range(0,number_points)]\n", - "\n", - " init = initialCondition\n", - " trace = [[0]+init]\n", - " for i in range(len(t)):\n", - " steering, a = car_action_handler(mode, init, track_map)\n", - " r = ode(car_dynamics) \n", - " r.set_initial_value(init).set_f_params([steering, a]) \n", - " res:np.ndarray = r.integrate(r.t + time_step)\n", - " init = res.flatten().tolist()\n", - " if init[3] < 0:\n", - " init[3] = 0\n", - " trace.append([t[i] + time_step] + init) \n", - "\n", - " return np.array(trace)\n" - ] - }, - { - "cell_type": "markdown", - "id": "3c2e6579", - "metadata": {}, - "source": [ - "With the <code>TC_simulate</code> function specified, we can now combine all parts together to construct a new car agent. An agent class for Verse should have three attributes: 1) <code>id</code>: an unique identifier for each agent in a scenario, 2) <code>controller</code>: a <code>ControllerIR</code> object, which is an intermediate representation of decisionLogic in Verse. It can be constructed automatically by passing in the decision logic code strings described in previous sections, and 3) <code>TC_simulate</code> function. In this example we will create the agent class manually. However, the agent class can also be inherited from the <code>BaseAgent</code> class with proper arguments to automatically having all required fields." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "86626628", - "metadata": {}, - "outputs": [], - "source": [ - "class Agent2:\n", - " pass" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "2a233433", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "interpreter": { - "hash": "04a7a195f934deca871ac715d77171c6df8c591438a5013fd2b54f1822da2e09" - }, - "kernelspec": { - "display_name": "Python 3.8.10 64-bit ('venv': venv)", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.8.10" - }, - "vscode": { - "interpreter": { - "hash": "f525a91698caa887845889e619085521c4ece5025fa1a5d5d490d4fd60493b54" - } - }, - "widgets": { - "application/vnd.jupyter.widget-state+json": { - "state": {}, - "version_major": 2, - "version_minor": 0 - } - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorial/Verse_Tutorial_Drone.ipynb b/tutorial/Verse_Tutorial_Drone.ipynb new file mode 100644 index 00000000..c37a7aaf --- /dev/null +++ b/tutorial/Verse_Tutorial_Drone.ipynb @@ -0,0 +1,916 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "9cb21069", + "metadata": {}, + "source": [ + "# 1. Getting Started" + ] + }, + { + "cell_type": "markdown", + "id": "6ee9346d", + "metadata": {}, + "source": [ + "A verse scenario is defined by a map, a set of agents and, if there exist multiple agents, a sensor. " + ] + }, + { + "cell_type": "markdown", + "id": "d34d63e6", + "metadata": {}, + "source": [ + "In this section, we are going to look at how to create a simple scenario in Verse. In this scenario we will have a drone following a straight track and will avoid by moving upwards to avoid a static obstacle at known position in the track. " + ] + }, + { + "cell_type": "markdown", + "id": "5e80ec75", + "metadata": {}, + "source": [ + "## 1.1 Instantiate map\n", + "The map of a scenario specifies the tracks that the agents can follow. In this example, we will only look at a simple map with two types of tracks: 1) type <code>T0</code>, which describe straight track that align with x-axis and 2) type <code>TAvoidUp</code>, which describes set of tracks with upward direction that the agent can follow while avoiding the obstacle. The types of tracks will also be referred as track modes in later sections. We will discuss in detail how to create maps in later sections. In this section we will import a pre-defined map. " + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "d789ceb2", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "`polytope` failed to import `cvxopt.glpk`.\n", + "will use `scipy.optimize.linprog`\n" + ] + } + ], + "source": [ + "from tutorial_map import M3\n", + "\n", + "map1 = M3()" + ] + }, + { + "cell_type": "markdown", + "id": "3b120f0c", + "metadata": {}, + "source": [ + "## 1.2 Creating agent\n", + "To create such a scenario in Verse, we first need to create an agent for Verse. An agent in Verse is defined by a set of tactical modes, a decision logic to determine the transition between tactical modes, and a flow function that defines continuous evolution. The agent's tactical mode and decision logic are provided as python code strings and the flow function is provided as a python function. " + ] + }, + { + "cell_type": "markdown", + "id": "96d7ce5e", + "metadata": {}, + "source": [ + "The tactical mode of the agents corresponds to an agent's decision. For example, in this drone avoidance example, the tactical mode for the agent can be <code>Normal</code> and <code>AvoidUp</code>. The decision logic also need to know the available track modes from the map. The tactical modes and track modes are provided as <code>Enums</code> to Verse. " + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "0fbb7f1f", + "metadata": {}, + "outputs": [], + "source": [ + "from enum import Enum, auto\n", + "\n", + "class CraftMode(Enum):\n", + " Normal = auto()\n", + " AvoidUp = auto()\n", + " \n", + "class TrackMode(Enum):\n", + " T0 = auto()\n", + " TAvoidUp = auto()" + ] + }, + { + "cell_type": "markdown", + "id": "25ec7639", + "metadata": {}, + "source": [ + "We also require the user to provide the continuous and discrete variables of the agents together with the decision logic. The variables are provided inside class with name <code>State</code>. Variables end with <code>_mode</code> will be identify by verse as discrete variables. In the example below, <code>craft_mode</code> and <code>track_mode</code> are the discrete variables and <code>x</code>, <code>y</code>, <code>z</code>, <code>vx</code>, <code>vy</code>, <code>vz</code> are the continuous variables. The type hints for the discrete variables are necessary to associate discrete variables with the tactical modes and lane modes defined above" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "7edf89dc", + "metadata": {}, + "outputs": [], + "source": [ + "class State:\n", + " x: float\n", + " y: float\n", + " z: float\n", + " vx: float\n", + " vy: float\n", + " vz: float\n", + " craft_mode: CraftMode\n", + " track_mode: TrackMode\n", + "\n", + " def __init__(self, x, y, z, vx, vy, vz, craft_mode, track_mode):\n", + " pass" + ] + }, + { + "cell_type": "markdown", + "id": "3b0ea818", + "metadata": {}, + "source": [ + "The decision logic describe for an agent takes as input its current state and the (observable) states of the other agents if there's any, and updates the tactical mode of the ego agent. In this example, the decision logic is traight forward: When the x position of the drone is close to the obstacle (20m), the drone will start moving upward. There's no other agents in this scenario. The decision logic of the agent can be written in an expressive subset of Python inside function <code>decisionLogic</code>. " + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "ba6e3ba2", + "metadata": {}, + "outputs": [], + "source": [ + "import copy\n", + "def decisionLogic(ego: State, track_map):\n", + " next = copy.deepcopy(ego)\n", + " if ego.craft_mode == CraftMode.Normal:\n", + " if ego.x > 20 :\n", + " next.craft_mode = CraftMode.AvoidUp\n", + " next.track_mode = track_map.h(ego.track_mode, ego.craft_mode, CraftMode.AvoidUp)\n", + " return next" + ] + }, + { + "cell_type": "markdown", + "id": "a6a323e4", + "metadata": {}, + "source": [ + "We incoperate the above definition of tactical modes and decision logic into code strings and combine it with an imported agent flow, we can then obtain the agent for this sceanrio. " + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "61837729", + "metadata": {}, + "outputs": [], + "source": [ + "from tutorial_agent import DroneAgent\n", + "drone1 = DroneAgent('drone1', file_name=\"dl_sec1.py\", t_v_pair=(1, 1), box_side=[0.4]*3)" + ] + }, + { + "cell_type": "markdown", + "id": "9eb4979a", + "metadata": {}, + "source": [ + "## 1.3 Creating scenario\n", + "With the agent and map defined, we can now define the scenario." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "b046fe36", + "metadata": {}, + "outputs": [], + "source": [ + "from verse.scenario import Scenario\n", + "scenario = Scenario()" + ] + }, + { + "cell_type": "markdown", + "id": "549cd907", + "metadata": {}, + "source": [ + "We can set the initial condition of the agent and add the agent " + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "6f54eada", + "metadata": {}, + "outputs": [], + "source": [ + "drone1.set_initial([[0, -0.5, -0.5, 0, 0, 0],[1, 0.5, 0.5, 0, 0, 0]], (CraftMode.Normal, TrackMode.T0))\n", + "scenario.add_agent(drone1)" + ] + }, + { + "cell_type": "markdown", + "id": "2366ed3a", + "metadata": {}, + "source": [ + "and set the map for the sceanrio" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "a1e2a90c", + "metadata": {}, + "outputs": [], + "source": [ + "scenario.set_map(map1)" + ] + }, + { + "cell_type": "markdown", + "id": "52b2b0cb", + "metadata": {}, + "source": [ + "Since we only have one agent in the scenario, we don't need to specify a sensor. " + ] + }, + { + "cell_type": "markdown", + "id": "b9e32951", + "metadata": {}, + "source": [ + "We can then compute simulation traces or reachable states for the scenario" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "cc1cdb50", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[0.04333064463648151, 0.2696066563083741, 0.35135316205944433, 0.0, 0.0, 0.0]]\n", + "{'drone1': ['Normal', 'T0']}\n", + "{'drone1': ('AvoidUp', 'TAvoidUp')}\n" + ] + } + ], + "source": [ + "traces_simu = scenario.simulate(60, 0.2)\n", + "traces_veri = scenario.verify(60, 0.2)" + ] + }, + { + "cell_type": "markdown", + "id": "4e33613e", + "metadata": {}, + "source": [ + "We can visualize the results using functions provided with Verse" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "c1d70fcf", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "ERROR:root:<<Cannot triangulate; no input points\n", + "ERROR:root:<<Cannot triangulate; no input points\n", + "ERROR:root:<<Cannot triangulate; no input points\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "<PIL.Image.Image image mode=RGB size=1024x768>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from verse.plotter.plotter3D import *\n", + "import pyvista as pv\n", + "import warnings\n", + "warnings.filterwarnings(\"ignore\")\n", + "\n", + "pv.set_jupyter_backend(None)\n", + "fig = pv.Plotter()\n", + "fig = plot3dMap(map1, ax=fig)\n", + "fig = plot3dReachtube(traces_veri, 'drone1', 1, 2, 3, color = 'r', ax=fig)\n", + "fig.set_background('#e0e0e0')\n", + "fig.show()\n", + " " + ] + }, + { + "cell_type": "markdown", + "id": "1e162f7f", + "metadata": {}, + "source": [ + "# 2. Adding multiple agents" + ] + }, + { + "cell_type": "markdown", + "id": "e947eec4", + "metadata": {}, + "source": [ + "In the previous section, we played around with a scenario with a single drone. In this example, we will create a scenario with multiple agents and explore the potential of Verse to handle multi-agent scenarios. " + ] + }, + { + "cell_type": "markdown", + "id": "7c233fa9", + "metadata": {}, + "source": [ + "In this example, we will look at a two drone collision avoidance example. In this example, we have two drones running in a map with three parallel tracks arranged in vertical directions. The two drones are running in the same direction on the middle track. However, the later drone is moving faster than the drone in the front and it will perform a track switch while getting close to the front drone to avoid collision. " + ] + }, + { + "cell_type": "markdown", + "id": "cbe185ab", + "metadata": {}, + "source": [ + "We will first setup a new scenario and add the map." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "a7ce4fd2", + "metadata": {}, + "outputs": [], + "source": [ + "from verse.scenario import Scenario\n", + "from tutorial_map import M4\n", + "scenario = Scenario()\n", + "scenario.set_map(M4())" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "from enum import Enum, auto\n", + "\n", + "class CraftMode(Enum):\n", + " Normal = auto()\n", + " MoveUp = auto()\n", + " MoveDown = auto()\n", + "\n", + "class TrackMode(Enum):\n", + " T0 = auto()\n", + " T1 = auto()\n", + " T2 = auto()\n", + " M01 = auto()\n", + " M10 = auto()\n", + " M12 = auto()\n", + " M21 = auto()\n", + "\n", + "class State:\n", + " x: float\n", + " y: float\n", + " z: float\n", + " vx: float\n", + " vy: float\n", + " vz: float\n", + " craft_mode: CraftMode\n", + " track_mode: TrackMode\n", + "\n", + " def __init__(self, x, y, z, vx, vy, vz, craft_mode, track_mode):\n", + " pass" + ] + }, + { + "cell_type": "markdown", + "id": "38300e84", + "metadata": {}, + "source": [ + "Verse's decision logic support python <code>any</code> and <code>all</code> functions, which allows the decision logic to quantify over other agents in the scenario. This enable user to easily create multi-agent scenario. In addition, the support of user defined functions, such as the <code>is_close</code> function in example, enable user to write more complicated decision logic. In this case, the decision logic will take an additional argument <code>others</code>, which provides the states for other agents. Notice the type hint for both <code>ego</code> and <code>others</code>. The updated agent's decision logic looks like following." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "57d0747c", + "metadata": {}, + "outputs": [], + "source": [ + "from typing import List\n", + "import copy\n", + "\n", + "def is_close(ego, other):\n", + " res = ((other.x - ego.x < 10 and other.x-ego.x > 8) or\\\n", + " (other.y-ego.y < 10 and other.y-ego.y > 8) or\\\n", + " (other.z-ego.z < 10 and other.z-ego.z > 8))\n", + " return res\n", + "\n", + "def decisionLogic(ego: State, others: List[State], track_map):\n", + " next = copy.deepcopy(ego)\n", + "\n", + " if ego.craft_mode == CraftMode.Normal:\n", + " if any(ego.x<other.x and (is_close(ego, other) and ego.track_mode == other.track_mode) for other in others):\n", + " if track_map.h_exist(ego.track_mode, ego.craft_mode, CraftMode.MoveUp):\n", + " next.craft_mode = CraftMode.MoveUp\n", + " next.track_mode = track_map.h(\n", + " ego.track_mode, ego.craft_mode, CraftMode.MoveUp)\n", + " if track_map.h_exist(ego.track_mode, ego.craft_mode, CraftMode.MoveDown):\n", + " next.craft_mode = CraftMode.MoveDown\n", + " next.track_mode = track_map.h(\n", + " ego.track_mode, ego.craft_mode, CraftMode.MoveDown)\n", + "\n", + " if ego.craft_mode == CraftMode.MoveUp:\n", + " if track_map.altitude(ego.track_mode)-ego.z > -1 and track_map.altitude(ego.track_mode)-ego.z < 1:\n", + " next.craft_mode = CraftMode.Normal\n", + " if track_map.h_exist(ego.track_mode, ego.craft_mode, CraftMode.Normal):\n", + " next.track_mode = track_map.h(\n", + " ego.track_mode, ego.craft_mode, CraftMode.Normal)\n", + "\n", + " if ego.craft_mode == CraftMode.MoveDown:\n", + " if track_map.altitude(ego.track_mode)-ego.z > -1 and track_map.altitude(ego.track_mode)-ego.z < 1:\n", + " next.craft_mode = CraftMode.Normal\n", + " if track_map.h_exist(ego.track_mode, ego.craft_mode, CraftMode.Normal):\n", + " next.track_mode = track_map.h(\n", + " ego.track_mode, ego.craft_mode, CraftMode.Normal)\n", + "\n", + " return next" + ] + }, + { + "cell_type": "markdown", + "id": "7c927d21", + "metadata": {}, + "source": [ + "With the updated decision logic, we can now spawn the two agents with their initial conditions. " + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "2187c4b7", + "metadata": {}, + "outputs": [], + "source": [ + "from tutorial_agent import DroneAgent\n", + "drone1 = DroneAgent(\n", + " 'drone1', file_name=\"dl_sec2.py\", t_v_pair=(1, 1), box_side=[0.4]*3)\n", + "drone1.set_initial(\n", + " [[1.5, -0.5, -0.5, 0, 0, 0], [2.5, 0.5, 0.5, 0, 0, 0]],\n", + " (CraftMode.Normal, TrackMode.T1)\n", + ")\n", + "\n", + "drone2 = DroneAgent(\n", + " 'drone2', file_name=\"dl_sec2.py\", t_v_pair=(1, 0.5), box_side=[0.4]*3)\n", + "drone2.set_initial(\n", + " [[19.5, -0.5, -0.5, 0, 0, 0], [20.5, 0.5, 0.5, 0, 0, 0]],\n", + " (CraftMode.Normal, TrackMode.T1)\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "518d6ea4", + "metadata": {}, + "source": [ + "We can then add both agents to the scenario" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "a16287c3", + "metadata": {}, + "outputs": [], + "source": [ + "scenario.add_agent(drone1)\n", + "scenario.add_agent(drone2)" + ] + }, + { + "cell_type": "markdown", + "id": "468ca941", + "metadata": {}, + "source": [ + "With multiple agents in the scenario, we now need to add the sensor. The sensor defines how an agent is visible to other agents. In this example, we will use the default sensor function, which allows all agents to see all variables of other agents. " + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "d39dbe69", + "metadata": {}, + "outputs": [], + "source": [ + "from tutorial_sensor import DefaultSensor\n", + "scenario.set_sensor(DefaultSensor())" + ] + }, + { + "cell_type": "markdown", + "id": "db79f70b", + "metadata": {}, + "source": [ + "With the scenario fully constructed, we can now simulte or verify the scenario using the simulate/verify function provided by Verse. " + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "c48ad5ad", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[1.5274444414877735, -0.014701645224999393, -0.075719016794775, 0.0, 0.0, 0.0], [19.879804928864168, 0.43227456766397154, -0.39851528894906707, 0.0, 0.0, 0.0]]\n", + "{'drone1': ['Normal', 'T1'], 'drone2': ['Normal', 'T1']}\n", + "{'drone1': ('MoveDown', 'M12'), 'drone2': ['Normal', 'T1']}\n", + "{'drone1': ('MoveUp', 'M10'), 'drone2': ['Normal', 'T1']}\n", + "{'drone1': ('Normal', 'T2'), 'drone2': ['Normal', 'T1']}\n", + "{'drone1': ('Normal', 'T0'), 'drone2': ['Normal', 'T1']}\n" + ] + } + ], + "source": [ + "traces_simu = scenario.simulate(60, 0.2)\n", + "traces_veri = scenario.verify(60, 0.2)" + ] + }, + { + "cell_type": "markdown", + "id": "fe9981ec", + "metadata": {}, + "source": [ + "We can visualize the results using functions provided with Verse" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "5d180128", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "ERROR:root:<<Cannot triangulate; no input points\n", + "ERROR:root:<<Cannot triangulate; no input points\n", + "ERROR:root:<<Cannot triangulate; no input points\n", + "ERROR:root:<<Cannot triangulate; no input points\n", + "ERROR:root:<<Cannot triangulate; no input points\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "<PIL.Image.Image image mode=RGB size=1024x768>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from verse.plotter.plotter3D import *\n", + "import pyvista as pv\n", + "import warnings\n", + "warnings.filterwarnings(\"ignore\")\n", + "\n", + "pv.set_jupyter_backend(None)\n", + "fig = pv.Plotter()\n", + "fig = plot3dMap(M4(), ax=fig)\n", + "fig = plot3dReachtube(traces_veri, 'drone1', 1, 2, 3, color = 'r', ax=fig)\n", + "fig = plot3dReachtube(traces_veri, 'drone2', 1, 2, 3, color = 'b', ax=fig)\n", + "fig.set_background('#e0e0e0')\n", + "fig.show()" + ] + }, + { + "cell_type": "markdown", + "id": "42c81f78", + "metadata": {}, + "source": [ + "# 3. Adding safety assertions" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "9f137299", + "metadata": {}, + "outputs": [], + "source": [ + "from enum import Enum, auto\n", + "\n", + "class CraftMode(Enum):\n", + " Normal = auto()\n", + " MoveUp = auto()\n", + " MoveDown = auto()\n", + "\n", + "class TrackMode(Enum):\n", + " T0 = auto()\n", + " T1 = auto()\n", + " T2 = auto()\n", + " M01 = auto()\n", + " M10 = auto()\n", + " M12 = auto()\n", + " M21 = auto()\n", + "\n", + "class State:\n", + " x: float\n", + " y: float\n", + " z: float\n", + " vx: float\n", + " vy: float\n", + " vz: float\n", + " craft_mode: CraftMode\n", + " track_mode: TrackMode\n", + "\n", + " def __init__(self, x, y, z, vx, vy, vz, craft_mode, track_mode):\n", + " pass" + ] + }, + { + "cell_type": "markdown", + "id": "ea4a9f2c", + "metadata": {}, + "source": [ + "Verse allow checking safety conditions while performing simulation and verification. The safety conditions in verse can be specified using Python assert statements in the decision logic. With the <code>any</code> and <code>all</code> functions, the user can also define safety conditions between different agents. In this example, we are going to add two safety conditions: 1) the distance between two agents in all x,y,z direction should always be greater than or equal to 1.0m and 2) both drones should never enter region x\\in[40,50], y\\in[-5,5], z\\in[-10,-6]. The two safety asserts in the <code>decisionLogic</code> is shown below. " + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "7a5d64cb", + "metadata": {}, + "outputs": [], + "source": [ + "from typing import List\n", + "import copy\n", + "\n", + "def decisionLogic(ego: State, others: List[State], track_map):\n", + " next = copy.deepcopy(ego)\n", + " '''\n", + " '''\n", + "\n", + " assert not any(ego.x-other.x < 1 and ego.x-other.x >-1 and \\\n", + " ego.y-other.y < 1 and ego.y-other.y > -1 and \\\n", + " ego.z-other.z < 1 and ego.z-other.z > -1 \\\n", + " for other in others),\\\n", + " \"Safe Seperation\"\n", + "\n", + " assert not (ego.x > 40 and ego.x<50 and\\\n", + " ego.y>-5 and ego.y<5 and\\\n", + " ego.z > -10 and ego.z<-6),\\\n", + " \"Unsafe Region\"\n", + "\n", + " return next" + ] + }, + { + "cell_type": "markdown", + "id": "361154ca", + "metadata": {}, + "source": [ + "We can then construct the two agents and the scenario exactly as previous section." + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "4251f544", + "metadata": {}, + "outputs": [], + "source": [ + "from verse.scenario import Scenario\n", + "from tutorial_map import M4\n", + "scenario = Scenario()\n", + "scenario.set_map(M4())\n", + "\n", + "from tutorial_agent import DroneAgent\n", + "drone1 = DroneAgent(\n", + " 'drone1', file_name=\"dl_sec3.py\", t_v_pair=(1, 1), box_side=[0.4]*3)\n", + "drone1.set_initial(\n", + " [[1.5, -0.5, -0.5, 0, 0, 0], [2.5, 0.5, 0.5, 0, 0, 0]],\n", + " (CraftMode.Normal, TrackMode.T1)\n", + ")\n", + "scenario.add_agent(drone1)\n", + "\n", + "drone2 = DroneAgent(\n", + " 'drone2', file_name=\"dl_sec3.py\", t_v_pair=(1, 0.5), box_side=[0.4]*3)\n", + "drone2.set_initial(\n", + " [[19.5, -0.5, -0.5, 0, 0, 0], [20.5, 0.5, 0.5, 0, 0, 0]],\n", + " (CraftMode.Normal, TrackMode.T1)\n", + ")\n", + "scenario.add_agent(drone2)\n", + "\n", + "from tutorial_sensor import DefaultSensor\n", + "scenario.set_sensor(DefaultSensor())" + ] + }, + { + "cell_type": "markdown", + "id": "5cb2f06a", + "metadata": {}, + "source": [ + "We can then simulate and verify the scenario and visualize the result. We can see from the result that drone1 enters the unsafe region, which causes a safety condition violation." + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "736897de", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[1.9312563653434478, -0.37381092906341173, 0.4178279694822413, 0.0, 0.0, 0.0], [19.65881626964345, -0.28050992995496926, 0.061664536002121184, 0.0, 0.0, 0.0]]\n", + "assert hit for drone1: \"Unsafe Region\" @ {'ego': State(x=40.10175821673612, y=-0.039154812580084464, z=-7.942172404694119, vx=0.9842831331582693, vy=-0.19685662663165338, vz=0.39999999999998614, craft_mode='Normal', track_mode='T2'), 'others': [State(x=40.30907452806768, y=-0.024596203912877312, z=0.10166446286779385, vx=0.5905698798949595, vy=-0.19685662663165493, vz=-0.40000000000001545, craft_mode='Normal', track_mode='T1')], 'track_map': <tutorial_map.M4 object at 0x000001B2D16192E0>}\n", + "{'drone1': ['Normal', 'T1'], 'drone2': ['Normal', 'T1']}\n", + "{'drone1': ('MoveDown', 'M12'), 'drone2': ['Normal', 'T1']}\n", + "{'drone1': ('MoveUp', 'M10'), 'drone2': ['Normal', 'T1']}\n", + "{'drone1': ('Normal', 'T2'), 'drone2': ['Normal', 'T1']}\n", + "assert hit for drone1: \"Unsafe Region\"\n", + "69\n", + "{'drone1': ('Normal', 'T0'), 'drone2': ['Normal', 'T1']}\n" + ] + } + ], + "source": [ + "traces_simu = scenario.simulate(60, 0.2)\n", + "traces_veri = scenario.verify(60, 0.2)" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "e31dc9ff", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "ERROR:root:<<Cannot triangulate; no input points\n", + "ERROR:root:<<Cannot triangulate; no input points\n", + "ERROR:root:<<Cannot triangulate; no input points\n", + "ERROR:root:<<Cannot triangulate; no input points\n", + "ERROR:root:<<Cannot triangulate; no input points\n", + "ERROR:root:<<Cannot triangulate; no input points\n" + ] + }, + { + "data": { + 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", + "text/plain": [ + "<PIL.Image.Image image mode=RGB size=1024x768>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from verse.plotter.plotter3D import *\n", + "import pyvista as pv\n", + "import warnings\n", + "warnings.filterwarnings(\"ignore\")\n", + "\n", + "pv.set_jupyter_backend(None)\n", + "fig = pv.Plotter()\n", + "fig = plot3dMap(M4(), ax=fig)\n", + "fig = plot3dReachtube(traces_veri, 'drone1', 1, 2, 3, color = 'r', ax=fig)\n", + "fig = plot3dReachtube(traces_veri, 'drone2', 1, 2, 3, color = 'b', ax=fig)\n", + "fig.set_background('#e0e0e0')\n", + "fig.show()" + ] + }, + { + "cell_type": "markdown", + "id": "351d0b71", + "metadata": {}, + "source": [ + "# 4. Creating agent flow function (work in progress)" + ] + }, + { + "cell_type": "markdown", + "id": "9ed472ab", + "metadata": {}, + "source": [ + "In previous sections, we discussed about how to create the decision logic for agents in Verse, in section we will look into detail about how the agent flows are specified and how the pieces are combined together for an agent in Verse. " + ] + }, + { + "cell_type": "markdown", + "id": "dd2ddad5", + "metadata": {}, + "source": [ + "The flow function define the continuous time evolution of agents' continuous states. It takes as input the initial states of the agent and the a time, and outputs the state of the agent from that initial states at that time. In Verse, the flow function is implemented by the <code>TC_simulate</code> function in the agent class. The <code>TC_simulate</code> takes as input a mode, a initial continuous states, a time bound, a simulation time step and the map. It will output simulation of agent dynamics at given mode starting from the initial continuous states, until the time bound with time step as an np array. Below shows an implementation of the <code>TC_simulate</code> function for the car agent. Note some detail helper functions for the car dynamics placed in <code>tutorial_utils</code> are not shown explicitly in the example below. " + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "c1dda851", + "metadata": {}, + "outputs": [], + "source": [ + "from tutorial_utils import car_dynamics, car_action_handler\n", + "import numpy as np \n", + "from scipy.integrate import ode\n", + "\n", + "def TC_simulate(self, mode: List[str], initialCondition, time_bound, time_step, track_map=None)->np.ndarray:\n", + " time_bound = float(time_bound)\n", + " number_points = int(np.ceil(time_bound/time_step))\n", + " t = [round(i*time_step,10) for i in range(0,number_points)]\n", + "\n", + " init = initialCondition\n", + " trace = [[0]+init]\n", + " for i in range(len(t)):\n", + " steering, a = car_action_handler(mode, init, track_map)\n", + " r = ode(car_dynamics) \n", + " r.set_initial_value(init).set_f_params([steering, a]) \n", + " res:np.ndarray = r.integrate(r.t + time_step)\n", + " init = res.flatten().tolist()\n", + " if init[3] < 0:\n", + " init[3] = 0\n", + " trace.append([t[i] + time_step] + init) \n", + "\n", + " return np.array(trace)\n" + ] + }, + { + "cell_type": "markdown", + "id": "3c2e6579", + "metadata": {}, + "source": [ + "With the <code>TC_simulate</code> function specified, we can now combine all parts together to construct a new car agent. An agent class for Verse should have three attributes: 1) <code>id</code>: an unique identifier for each agent in a scenario, 2) <code>controller</code>: a <code>ControllerIR</code> object, which is an intermediate representation of decisionLogic in Verse. It can be constructed automatically by passing in the decision logic code strings described in previous sections, and 3) <code>TC_simulate</code> function. In this example we will create the agent class manually. However, the agent class can also be inherited from the <code>BaseAgent</code> class with proper arguments to automatically having all required fields." + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "id": "86626628", + "metadata": {}, + "outputs": [], + "source": [ + "class Agent2:\n", + " pass" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "2a233433", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "interpreter": { + "hash": "1baa965d5efe3ac65b79dfc60c0d706280b1da80fedb7760faf2759126c4f253" + }, + "kernelspec": { + "display_name": "Python 3.8.10 64-bit", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.8.10" + }, + "vscode": { + "interpreter": { + "hash": "f525a91698caa887845889e619085521c4ece5025fa1a5d5d490d4fd60493b54" + } + }, + "widgets": { + "application/vnd.jupyter.widget-state+json": { + "state": {}, + "version_major": 2, + "version_minor": 0 + } + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/tutorial/dl_sec1.py b/tutorial/dl_sec1.py index 15aab7d1..de350489 100644 --- a/tutorial/dl_sec1.py +++ b/tutorial/dl_sec1.py @@ -1,27 +1,34 @@ from enum import Enum, auto -class AgentMode(Enum): +class CraftMode(Enum): Normal = auto() - Brake = auto() - + MoveUp = auto() + MoveDown = auto() + AvoidUp = auto() + AvoidDown = auto() + class TrackMode(Enum): T0 = auto() + TAvoidUp = auto() class State: - x:float - y:float - theta:float - v:float - agent_mode:AgentMode - track_mode:TrackMode + x: float + y: float + z: float + vx: float + vy: float + vz: float + craft_mode: CraftMode + track_mode: TrackMode - def __init__(self, x, y, theta, v, agent_mode: AgentMode, track_mode: TrackMode): + def __init__(self, x, y, z, vx, vy, vz, craft_mode, track_mode): pass import copy -def decisionLogic(ego:State, track_map): - output = copy.deepcopy(ego) - if ego.agent_mode == AgentMode.Normal: - if ego.x > 10: - output.agent_mode = AgentMode.Brake - return output \ No newline at end of file +def decisionLogic(ego: State, track_map): + next = copy.deepcopy(ego) + if ego.craft_mode == CraftMode.Normal: + if ego.x > 20 : + next.craft_mode = CraftMode.AvoidUp + next.track_mode = track_map.h(ego.track_mode, ego.craft_mode, CraftMode.AvoidUp) + return next \ No newline at end of file diff --git a/tutorial/dl_sec2.py b/tutorial/dl_sec2.py index 954b280e..81949251 100644 --- a/tutorial/dl_sec2.py +++ b/tutorial/dl_sec2.py @@ -1,28 +1,69 @@ from enum import Enum, auto -class AgentMode(Enum): +class CraftMode(Enum): Normal = auto() - Brake = auto() - + MoveUp = auto() + MoveDown = auto() + + class TrackMode(Enum): T0 = auto() + T1 = auto() + T2 = auto() + M01 = auto() + M10 = auto() + M12 = auto() + M21 = auto() + class State: - x:float - y:float - theta:float - v:float - agent_mode:AgentMode - track_mode:TrackMode - - def __init__(self, x, y, theta, v, agent_mode: AgentMode, track_mode: TrackMode): + x: float + y: float + z: float + vx: float + vy: float + vz: float + craft_mode: CraftMode + track_mode: TrackMode + + def __init__(self, x, y, z, vx, vy, vz, craft_mode, track_mode): pass from typing import List import copy -def decisionLogic(ego:State, others: List[State], track_map): - output = copy.deepcopy(ego) - if ego.agent_mode == AgentMode.Normal: - if any( other.x-ego.x< 8 and other.x-ego.x>0 for other in others): - output.agent_mode = AgentMode.Brake - return output \ No newline at end of file + +def is_close(ego, other): + res = ((other.x - ego.x < 10 and other.x-ego.x > 8) or\ + (other.y-ego.y < 10 and other.y-ego.y > 8) or\ + (other.z-ego.z < 10 and other.z-ego.z > 8)) + return res + +def decisionLogic(ego: State, others: List[State], track_map): + next = copy.deepcopy(ego) + + if ego.craft_mode == CraftMode.Normal: + if any(ego.x<other.x and (is_close(ego, other) and ego.track_mode == other.track_mode) for other in others): + if track_map.h_exist(ego.track_mode, ego.craft_mode, CraftMode.MoveUp): + next.craft_mode = CraftMode.MoveUp + next.track_mode = track_map.h( + ego.track_mode, ego.craft_mode, CraftMode.MoveUp) + if track_map.h_exist(ego.track_mode, ego.craft_mode, CraftMode.MoveDown): + next.craft_mode = CraftMode.MoveDown + next.track_mode = track_map.h( + ego.track_mode, ego.craft_mode, CraftMode.MoveDown) + + if ego.craft_mode == CraftMode.MoveUp: + if track_map.altitude(ego.track_mode)-ego.z > -1 and track_map.altitude(ego.track_mode)-ego.z < 1: + next.craft_mode = CraftMode.Normal + if track_map.h_exist(ego.track_mode, ego.craft_mode, CraftMode.Normal): + next.track_mode = track_map.h( + ego.track_mode, ego.craft_mode, CraftMode.Normal) + + if ego.craft_mode == CraftMode.MoveDown: + if track_map.altitude(ego.track_mode)-ego.z > -1 and track_map.altitude(ego.track_mode)-ego.z < 1: + next.craft_mode = CraftMode.Normal + if track_map.h_exist(ego.track_mode, ego.craft_mode, CraftMode.Normal): + next.track_mode = track_map.h( + ego.track_mode, ego.craft_mode, CraftMode.Normal) + + return next \ No newline at end of file diff --git a/tutorial/dl_sec3.py b/tutorial/dl_sec3.py index 3e5f7248..2bd7506f 100644 --- a/tutorial/dl_sec3.py +++ b/tutorial/dl_sec3.py @@ -1,33 +1,82 @@ from enum import Enum, auto -class AgentMode(Enum): +class CraftMode(Enum): Normal = auto() - Brake = auto() - + MoveUp = auto() + MoveDown = auto() + + class TrackMode(Enum): T0 = auto() + T1 = auto() + T2 = auto() + M01 = auto() + M10 = auto() + M12 = auto() + M21 = auto() + class State: - x:float - y:float - theta:float - v:float - agent_mode:AgentMode - track_mode:TrackMode - - def __init__(self, x, y, theta, v, agent_mode: AgentMode, track_mode: TrackMode): + x: float + y: float + z: float + vx: float + vy: float + vz: float + craft_mode: CraftMode + track_mode: TrackMode + + def __init__(self, x, y, z, vx, vy, vz, craft_mode, track_mode): pass from typing import List import copy -def decisionLogic(ego:State, others: List[State], track_map): - output = copy.deepcopy(ego) - if ego.agent_mode == AgentMode.Normal: - if any( other.x-ego.x< 8 and other.x-ego.x>0 for other in others): - output.agent_mode = AgentMode.Brake - - ### Adding safety assertions - assert not any(other.x-ego.x<1.0 and other.x-ego.x>-1.0 for other in others), 'Seperation' - ########## - - return output \ No newline at end of file + +def is_close(ego, other): + res = ((other.x - ego.x < 10 and other.x-ego.x > 8) or\ + (other.y-ego.y < 10 and other.y-ego.y > 8) or\ + (other.z-ego.z < 10 and other.z-ego.z > 8)) + return res + +def decisionLogic(ego: State, others: List[State], track_map): + next = copy.deepcopy(ego) + + if ego.craft_mode == CraftMode.Normal: + if any(ego.x<other.x and (is_close(ego, other) and ego.track_mode == other.track_mode) for other in others): + if track_map.h_exist(ego.track_mode, ego.craft_mode, CraftMode.MoveUp): + next.craft_mode = CraftMode.MoveUp + next.track_mode = track_map.h( + ego.track_mode, ego.craft_mode, CraftMode.MoveUp) + if track_map.h_exist(ego.track_mode, ego.craft_mode, CraftMode.MoveDown): + next.craft_mode = CraftMode.MoveDown + next.track_mode = track_map.h( + ego.track_mode, ego.craft_mode, CraftMode.MoveDown) + + if ego.craft_mode == CraftMode.MoveUp: + if track_map.altitude(ego.track_mode)-ego.z > -1 and track_map.altitude(ego.track_mode)-ego.z < 1: + next.craft_mode = CraftMode.Normal + if track_map.h_exist(ego.track_mode, ego.craft_mode, CraftMode.Normal): + next.track_mode = track_map.h( + ego.track_mode, ego.craft_mode, CraftMode.Normal) + + if ego.craft_mode == CraftMode.MoveDown: + if track_map.altitude(ego.track_mode)-ego.z > -1 and track_map.altitude(ego.track_mode)-ego.z < 1: + next.craft_mode = CraftMode.Normal + if track_map.h_exist(ego.track_mode, ego.craft_mode, CraftMode.Normal): + next.track_mode = track_map.h( + ego.track_mode, ego.craft_mode, CraftMode.Normal) + + ################################################### + assert not any(ego.x-other.x < 1 and ego.x-other.x >-1 and \ + ego.y-other.y < 1 and ego.y-other.y > -1 and \ + ego.z-other.z < 1 and ego.z-other.z > -1 \ + for other in others),\ + "Safe Seperation" + + assert not (ego.x > 40 and ego.x<50 and\ + ego.y>-5 and ego.y<5 and\ + ego.z > -10 and ego.z<-6),\ + "Unsafe Region" + ################################################### + + return next \ No newline at end of file diff --git a/tutorial/test.py b/tutorial/test.py index 2c24760a..ad7d435b 100644 --- a/tutorial/test.py +++ b/tutorial/test.py @@ -1,100 +1,71 @@ from verse.scenario import Scenario -from tutorial_map import M1 +from tutorial_map import M4 scenario = Scenario() -scenario.config.init_seg_length = 5 -scenario.set_map(M1()) +scenario.set_map(M4()) from enum import Enum, auto -class AgentMode(Enum): +class CraftMode(Enum): Normal = auto() - Brake = auto() - + MoveUp = auto() + MoveDown = auto() + class TrackMode(Enum): T0 = auto() - + T1 = auto() + T2 = auto() + M01 = auto() + M10 = auto() + M12 = auto() + M21 = auto() + class State: - x:float - y:float - theta:float - v:float - agent_mode:AgentMode - track_mode:TrackMode + x: float + y: float + z: float + vx: float + vy: float + vz: float + craft_mode: CraftMode + track_mode: TrackMode - def __init__(self, x, y, theta, v, agent_mode: AgentMode, track_mode: TrackMode): + def __init__(self, x, y, z, vx, vy, vz, craft_mode, track_mode): pass -from typing import List -import copy -def decisionLogic(ego:State, others: List[State], track_map): - output = copy.deepcopy(ego) - if ego.agent_mode == AgentMode.Normal: - if any( other.x-ego.x< 8 and other.x-ego.x>0 for other in others): - output.agent_mode = AgentMode.Brake - - ### Adding safety assertions - assert not any(other.x-ego.x<1.0 and other.x-ego.x>-1.0 for other in others), 'Seperation' - ########## - - return output +from tutorial_agent import DroneAgent +drone1 = DroneAgent( + 'drone1', file_name="dl_sec2.py", t_v_pair=(1, 1), box_side=[0.4]*3) +drone1.set_initial( + [[1.5, -0.5, -0.5, 0, 0, 0], [2.5, 0.5, 0.5, 0, 0, 0]], + (CraftMode.Normal, TrackMode.T1) +) +scenario.add_agent(drone1) + +drone2 = DroneAgent( + 'drone2', file_name="dl_sec2.py", t_v_pair=(1, 0.5), box_side=[0.4]*3) +drone2.set_initial( + [[19.5, -0.5, -0.5, 0, 0, 0], [20.5, 0.5, 0.5, 0, 0, 0]], + (CraftMode.Normal, TrackMode.T1) +) +scenario.add_agent(drone2) -dl = "from enum import Enum, auto\n\ -\n\ -class AgentMode(Enum):\n\ - Normal = auto()\n\ - Brake = auto()\n\ -\n\ -class TrackMode(Enum):\n\ - T0 = auto()\n\ -\n\ -class State:\n\ - x:float\n\ - y:float\n\ - theta:float\n\ - v:float\n\ - agent_mode:AgentMode\n\ - track_mode:TrackMode \n\ -\n\ - def __init__(self, x, y, theta, v, agent_mode: AgentMode, track_mode: TrackMode):\n\ - pass\n\ -\n\ -from typing import List\n\ -import copy\n\ -def decisionLogic(ego:State, others: List[State], track_map):\n\ - output = copy.deepcopy(ego)\n\ - if ego.agent_mode == AgentMode.Normal:\n\ - if any( other.x-ego.x< 8 and other.x-ego.x>0 for other in others):\n\ - output.agent_mode = AgentMode.Brake\n\ -\n\ - ### Adding safety assertions\n\ - assert not any(other.x-ego.x<1.0 and other.x-ego.x>-1.0 for other in others), 'Seperation'\n\ - ##########\n\ -\n\ - return output\n\ -" +scenario.add_agent(drone1) +scenario.add_agent(drone2) -from tutorial_agent import Agent1 -car1 = Agent1('car1', code=dl) -car1.set_initial([[0,-0.5,0,2],[1,0.5,0,2]], (AgentMode.Normal, TrackMode.T0)) -car2 = Agent1('car2', code=dl) -car2.set_initial([[15,-0.5,0,1],[16,0.5,0,1]], (AgentMode.Normal, TrackMode.T0)) -scenario.add_agent(car1) -scenario.add_agent(car2) from tutorial_sensor import DefaultSensor scenario.set_sensor(DefaultSensor()) -scenario.set_init_single('car1',[[0,-0.5,0,5],[1,0.5,0,5]], (AgentMode.Normal, TrackMode.T0)) - -traces_simu = scenario.simulate(10, 0.01) -traces_veri = scenario.verify(10, 0.01) - -import plotly.graph_objects as go -from verse.plotter.plotter2D import * +traces_simu = scenario.simulate(60, 0.2) +traces_veri = scenario.verify(60, 0.2) -fig = go.Figure() -fig = simulation_tree(traces_simu, None, fig, 0, 1, [0, 1], 'lines', 'trace') -fig.show() +from verse.plotter.plotter3D import * +import pyvista as pv +import warnings +warnings.filterwarnings("ignore") -fig = go.Figure() -fig = reachtube_tree(traces_veri, None, fig, 0, 1, [0, 1], 'lines', 'trace') +fig = pv.Plotter() +fig = plot3dMap(M4(), ax=fig) +fig = plot3dReachtube(traces_veri, 'drone1', 1, 2, 3, color = 'r', ax=fig) +fig = plot3dReachtube(traces_veri, 'drone2', 1, 2, 3, color = 'b', ax=fig) +fig.set_background('#e0e0e0') fig.show() \ No newline at end of file diff --git a/tutorial/tutorial_agent.py b/tutorial/tutorial_agent.py index 727eeb8c..2f2dffba 100644 --- a/tutorial/tutorial_agent.py +++ b/tutorial/tutorial_agent.py @@ -3,10 +3,12 @@ from typing import Tuple, List import numpy as np from scipy.integrate import ode +import torch +from tutorial_utils import drone_params from verse import BaseAgent from verse import LaneMap -from verse.parser import ControllerIR +from verse.map.lane_map_3d import LaneMap_3d class Agent1(BaseAgent): def __init__(self, id, code = None, file_name = None, initial_state = None, initial_mode = None): @@ -69,3 +71,181 @@ class Agent1(BaseAgent): trace.append([t[i] + time_step] + init) return np.array(trace) + +class FFNNC(torch.nn.Module): + def __init__(self, D_in=6, D_out=8): + super(FFNNC, self).__init__() + self.layer1 = torch.nn.Linear(D_in, 20) + self.layer2 = torch.nn.Linear(20, 20) + self.layer3 = torch.nn.Linear(20, D_out) + + def forward(self, x): + x = torch.tanh(self.layer1(x)) + x = torch.tanh(self.layer2(x)) + x = self.layer3(x) + return x + + +class DroneAgent(BaseAgent): + def __init__(self, id, code=None, file_name=None, t_v_pair = [], box_side = []): + super().__init__(id, code, file_name) + self.t_v_pair = t_v_pair + self.box_side = box_side + + @staticmethod + def dynamic(t, state, u): + u1, u2, u3, bx, by, bz, sc, ddf = u # len 7 + vx, vy, vz = state[6:] # len 9 + sc = -1 * sc + dvx = 9.81 * np.sin(u1) / np.cos(u1) + dvy = -9.81 * np.sin(u2) / np.cos(u2) + tmp1 = dvx * np.cos(sc) - dvy * np.sin(sc) + tmp2 = dvx * np.sin(sc) + dvy * np.cos(sc) + dvx = tmp1 + dvy = tmp2 + dvz = u3 - 9.81 + dx = vx + dy = vy + dz = vz + dref_x = bx + dref_y = by + dref_z = bz + return [dref_x, dref_y, dref_z, dx, dy, dz, dvx, dvy, dvz] + + def action_handler(self, mode, state, track_map: LaneMap_3d): + # if mode[0] == 'Normal': + df = 0 + if track_map.check_guard_box(self.id, state[3:9], self.box_side): + # track_map.get_next_point(mode[1], self.id, state[3:6]) + df = 1 + # else: + # raise ValueError + return df + + def runModel(self, mode, initalCondition, time_bound, time_step, ref_input, track_map: LaneMap_3d): + # path = os.path.abspath(__file__) + # path = path.replace('quadrotor_agent.py', 'prarm.json') + # # print(path) + # with open(path, 'r') as f: + # prarms = json.load(f) + params = drone_params + bias1 = params['bias1'] + bias2 = params['bias2'] + bias3 = params['bias3'] + weight1 = params['weight1'] + weight2 = params['weight2'] + weight3 = params['weight3'] + + bias1 = torch.FloatTensor(bias1) + bias2 = torch.FloatTensor(bias2) + bias3 = torch.FloatTensor(bias3) + weight1 = torch.FloatTensor(weight1) + weight2 = torch.FloatTensor(weight2) + weight3 = torch.FloatTensor(weight3) + controller = FFNNC() + controller.layer1.weight = torch.nn.Parameter(weight1) + controller.layer2.weight = torch.nn.Parameter(weight2) + controller.layer3.weight = torch.nn.Parameter(weight3) + controller.layer1.bias = torch.nn.Parameter(bias1) + controller.layer2.bias = torch.nn.Parameter(bias2) + controller.layer3.bias = torch.nn.Parameter(bias3) + control_input_list = [[-0.1, -0.1, 7.81], + [-0.1, -0.1, 11.81], + [-0.1, 0.1, 7.81], + [-0.1, 0.1, 11.81], + [0.1, -0.1, 7.81], + [0.1, -0.1, 11.81], + [0.1, 0.1, 7.81], + [0.1, 0.1, 11.81]] + init = initalCondition + trajectory = [init] + r = ode(self.dynamic) + # r.set_initial_value(init) + ex_list = [] + ey_list = [] + ez_list = [] + t = 0 + time = [t] + trace = [[t]] + trace[0].extend(init[3:]) + i = 0 + df = 0 + while (t < time_bound) or df != 1: + ex = trajectory[i][3] - trajectory[i][0] + ey = trajectory[i][4] - trajectory[i][1] + ez = trajectory[i][5] - trajectory[i][2] + # if self.id == 'test1': + # print([t, ex, ey, ez, trajectory[i][0], + # trajectory[i][1], trajectory[i][2]]) + evx = trajectory[i][6] - ref_input[0] + evy = trajectory[i][7] - ref_input[1] + evz = trajectory[i][8] - ref_input[2] + + sc = ref_input[3] # np.atan2(dot, det) + + tmp1 = ex * np.cos(sc) - ey * np.sin(sc) + tmp2 = ex * np.sin(sc) + ey * np.cos(sc) + ex = tmp1 + ey = tmp2 + + tmp1 = evx * np.cos(sc) - evy * np.sin(sc) + tmp2 = evx * np.sin(sc) + evy * np.cos(sc) + evx = tmp1 + evy = tmp2 + + data = torch.FloatTensor( + [0.2 * ex, 0.2 * ey, 0.2 * ez, 0.1 * evx, 0.1 * evy, 0.1 * evz]) + res = controller(data) + res = res.detach().numpy() + idx = np.argmax(res) + u = control_input_list[idx] + ref_input[0:3] + [sc] + + df = self.action_handler(mode, init, track_map) + + u = u+[df] + init = trajectory[i] # len 9 + r = ode(self.dynamic) + r.set_initial_value(init) + r.set_f_params(u) + val = r.integrate(r.t + time_step) + + t = t+time_step + if round(t-time_bound-time_step, 4) >= 0: + break + i += 1 + # print(i,idx,u,res) + trajectory.append(val) + time.append(t) + + ex_list.append(ex) + ey_list.append(ey) + ez_list.append(ez) + trace.append([t]) + # remove the reference trajectory from the trace + trace[i].extend(val[3:]) + return trace + + def TC_simulate(self, mode: List[str], initialCondition, time_bound, time_step, track_map: LaneMap_3d = None) -> np.ndarray: + time_bound = float(time_bound) + traces = [] + end_time = 0 + time_limit = self.t_v_pair[0] + mode_parameters = track_map.get_next_point( + track_map.trans_func(mode[1]), self.id, np.array(initialCondition[:3]), np.array(initialCondition[3:6]), self.t_v_pair) + while time_bound > end_time: + ref_vx = (mode_parameters[3] - mode_parameters[0]) / time_limit + ref_vy = (mode_parameters[4] - mode_parameters[1]) / time_limit + ref_vz = (mode_parameters[5] - mode_parameters[2]) / time_limit + sym_rot_angle = 0 + trace = self.runModel(mode, mode_parameters[0:3] + list(initialCondition), min(time_limit, time_bound-end_time), time_step, [ref_vx, ref_vy, ref_vz, + sym_rot_angle], track_map) + for p in trace: + p[0] = round(p[0]+end_time, 4) + end_time = trace[-1][0] + initialCondition = trace[-1][1:] + mode_parameters = track_map.get_next_point( + track_map.trans_func(mode[1]), self.id, None, np.array(initialCondition[3:6]), self.t_v_pair) + if round(trace[0][0]-0, 4) != 0: + trace = trace[1:] + traces.extend(trace) + return np.array(traces) diff --git a/tutorial/tutorial_map.py b/tutorial/tutorial_map.py index 1af2b5f9..c098eef6 100644 --- a/tutorial/tutorial_map.py +++ b/tutorial/tutorial_map.py @@ -1,6 +1,9 @@ from verse.map.lane_map import LaneMap from verse.map.lane_segment import StraightLane from verse.map.lane import Lane +from verse.map.lane_map_3d import LaneMap_3d +from verse.map.lane_segment_3d import StraightLane_3d +from verse.map.lane_3d import Lane_3d class M1(LaneMap): def __init__(self): @@ -41,3 +44,102 @@ class M2(LaneMap): ("T0","Normal","Brake"):"T0", ("T1","Normal","Brake"):"T1", } + +class M3(LaneMap_3d): + def __init__(self): + super().__init__() + width = 4 + y_offset = 0 + z_offset = 0 + segment0 = StraightLane_3d( + 'seg0', + [0, 0, 0], + [100, 0+y_offset, 0+z_offset], + width + ) + lane0 = Lane_3d('T0', [segment0]) + + segment1 = StraightLane_3d( + 'seg0', + [0, 0, 0], + [100, 0+y_offset, 50+z_offset], + width + ) + lane1 = Lane_3d('TAvoidUp', [segment1], plotted = False) + + self.add_lanes([lane0, lane1]) + + self.h_dict = { + ('T0', 'Normal', 'AvoidUp'): 'TAvoidUp', + } + + def h(self, lane_idx: str, agent_mode_src: str, agent_mode_dest: str) -> str: + return self.h_dict[(lane_idx, agent_mode_src, agent_mode_dest)] + + def h_exist(self, lane_idx: str, agent_mode_src: str, agent_mode_dest: str) -> bool: + if (lane_idx, agent_mode_src, agent_mode_dest) in self.h_dict: + return True + else: + return False + + def trans_func(self, lane_idx: str) -> str: + return lane_idx + +class M4(LaneMap_3d): + def __init__(self): + super().__init__() + width = 4 + y_offset = 0 + z_offset = 0 + segment0 = StraightLane_3d( + 'seg0', + [0, 0, 0], + [100, 0+y_offset, 0+z_offset], + width + ) + lane0 = Lane_3d('T1', [segment0]) + segment3 = StraightLane_3d( + 'seg0', + [0, 0, 2*width], + [100, 0+y_offset, 2*width+z_offset], + width + ) + lane3 = Lane_3d('T0', [segment3]) + segment4 = StraightLane_3d( + 'seg0', + [0, 0, -2*width], + [100, 0+y_offset, -2*width+z_offset], + width + ) + lane4 = Lane_3d('T2', [segment4]) + self.add_lanes([lane0, lane3, lane4]) + + self.h_dict = { + ('T1', 'Normal', 'MoveUp'): 'M10', + ('T0', 'Normal', 'MoveDown'): 'M01', + ('T1', 'Normal', 'MoveDown'): 'M12', + ('T2', 'Normal', 'MoveUp'): 'M21', + ('M10', 'MoveUp', 'Normal'): 'T0', + ('M01', 'MoveDown', 'Normal'): 'T1', + ('M12', 'MoveDown', 'Normal'): 'T2', + ('M21', 'MoveUp', 'Normal'): 'T1', + } + + def h(self, lane_idx: str, agent_mode_src: str, agent_mode_dest: str) -> str: + return self.h_dict[(lane_idx, agent_mode_src, agent_mode_dest)] + + def h_exist(self, lane_idx: str, agent_mode_src: str, agent_mode_dest: str) -> bool: + if (lane_idx, agent_mode_src, agent_mode_dest) in self.h_dict: + return True + else: + return False + + def trans_func(self, lane_idx: str) -> str: + lane = '' + if lane_idx[-1] == '0': + lane = 'T0' + elif lane_idx[-1] == '1': + lane = 'T1' + elif lane_idx[-1] == '2': + lane = 'T2' + return lane \ No newline at end of file diff --git a/tutorial/tutorial_utils.py b/tutorial/tutorial_utils.py index ebffa974..0219255c 100644 --- a/tutorial/tutorial_utils.py +++ b/tutorial/tutorial_utils.py @@ -43,4 +43,189 @@ def car_action_handler(self, mode: List[str], state, lane_map)->Tuple[float, flo 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 \ No newline at end of file + return steering, a + +drone_params = { + "bias1" : [0.005067077465355396, 0.013770184479653835, 0.02960527129471302, -0.005076207220554352, + 0.00986097939312458, -0.004963981453329325, 0.005067163147032261, 0.022097138687968254, + 0.005067095160484314, -0.009861057624220848, -0.005051563028246164, -0.013770153746008873, + 0.009860980324447155, 0.009861058555543423, 0.013770055025815964, 0.005067105405032635, + -0.01376994326710701, 0.005067072343081236, -0.005067067686468363, -0.013769976794719696], + "bias2" : [-0.009237067773938179, -0.00437132129445672, 0.0007612668559886515, 0.009431629441678524, + -0.04935901612043381, 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class Lane_3d(): COMPENSATE = 1 - def __init__(self, id, seg_list: List[AbstractLane_3d]): + def __init__(self, id, seg_list: List[AbstractLane_3d], plotted = True): self.id = id self.segment_list: List[AbstractLane_3d] = seg_list self._set_longitudinal_start() self.lane_width = seg_list[0].width + self.plotted = plotted def _set_longitudinal_start(self): longitudinal_start = 0 diff --git a/verse/map/lane_map_3d.py b/verse/map/lane_map_3d.py index 0e13303c..ba500fdf 100644 --- a/verse/map/lane_map_3d.py +++ b/verse/map/lane_map_3d.py @@ -30,6 +30,10 @@ class LaneMap_3d: self.curr_seg = {} self.wps = {} + def trans_func(self, lane_idx: str) -> str: + lane = 'T'+lane_idx[-1] + return lane + def add_lanes(self, lane_seg_list: List[AbstractLane_3d]): for lane_seg in lane_seg_list: self.lane_dict[lane_seg.id] = lane_seg @@ -44,8 +48,8 @@ class LaneMap_3d: def g_func(self, agent_state, lane_idx) -> np.ndarray: raise NotImplementedError - def trans_func(self, lane_idx: str) -> str: - raise NotImplementedError + # def trans_func(self, lane_idx: str) -> str: + # raise NotImplementedError def pair_lanes(self, lane_idx_src, lane_idx_dest, relation): if isinstance(lane_idx_src, Enum): @@ -225,29 +229,13 @@ class LaneMap_3d: curr_point = self.curr_wp[agent_id][3:] else: raise ValueError - # if agent_id in self.curr_wp and self.check_guard_box(agent_id, pos): - # curr_point = self.curr_wp[agent_id][3:] - # else: - # curr_point = pos[:3] - # if agent_id in self.curr_wp and np.linalg.norm(curr_point-self.curr_wp[agent_id][3:]) > est_len: - # curr_point = self.curr_wp[agent_id][3:] - # elif agent_id in self.curr_wp: - # curr_point = (pos[:3]) - # print('get_next_point', theta) - # if curr_point[0] >= 19.5 and curr_point[0] <= 20.5 and curr_point[1] >= -10.5 and curr_point[1] <= -9.5: - # print('wervvew') seg, possible_seg = self.get_lane_segment(lane, curr_point) - # if lane == 'Lane1': - # print('.') - # if lane == 'Lane1' and seg.id == 'seg1': - # seg, possible_seg = self.get_lane_segment(lane, curr_point) if agent_id not in self.curr_seg: self.curr_seg[agent_id] = seg else: if self.curr_seg[agent_id] in possible_seg: seg = self.curr_seg[agent_id] longitudinal, lateral, theta = seg.local_coordinates(curr_point) - # print(seg.id) rate = 0.7 if est_len >= lateral/rate: @@ -263,18 +251,6 @@ class LaneMap_3d: if next_longitudinal > seg.length: next_seg, possible_next_seg = self.get_lane_segment( lane, next_point) - # if agent_id == 'test1': - # print(seg.id, longitudinal, next_longitudinal, - # curr_point, next_point) - # print([seg.id for seg in possible_next_seg]) - - # min_d = float('inf') - # for n_seg in possible_next_seg: - # next_point = n_seg.position(0, lateral, theta) - # d = np.linalg.norm(next_point-curr_point) - # if d < min_d: - # min_d = d - # next_seg = n_seg max_in = -float('inf') for n_seg in possible_next_seg: next_point = n_seg.position(0, lateral, theta) @@ -284,13 +260,8 @@ class LaneMap_3d: if d > max_in: max_in = d next_seg = n_seg - # if agent_id == 'test1': - # print(seg.id, next_seg.id, next_point) - # next_seg = self.get_lane_segment(lane, next_point) next_point = next_seg.position(0, lateral, theta) self.curr_seg[agent_id] = next_seg - # next_point = seg.position(seg.length, lateral, theta) - # print(next_point) next_waypoint = list(curr_point) + next_point.tolist() diff --git a/verse/plotter/plotter3D.py b/verse/plotter/plotter3D.py index 52f206bc..d5ad2e31 100644 --- a/verse/plotter/plotter3D.py +++ b/verse/plotter/plotter3D.py @@ -19,15 +19,16 @@ def plot3dMap(lane_map, color = 'k', ax = None, width=0.1, num = 20): ax = pv.Plotter() for lane_idx in lane_map.lane_dict: lane = lane_map.lane_dict[lane_idx] - for lane_seg in lane.segment_list: - # if lane_seg.type == 'Straight': - oc, oc_x, oc_y, oc_z = lane_seg.get_lane_center(num) - points = np.vstack((oc_x, oc_y, oc_z)).T - spline = pv.Spline(points, 400) - tube = spline.tube(radius=width) - ax.add_mesh(tube, color=color) - # elif lane_seg.type == 'Circular': - # oc, oc_x, oc_y, oc_z = lane_seg.get_lane_center(num) + if lane.plotted: + for lane_seg in lane.segment_list: + # if lane_seg.type == 'Straight': + oc, oc_x, oc_y, oc_z = lane_seg.get_lane_center(num) + points = np.vstack((oc_x, oc_y, oc_z)).T + spline = pv.Spline(points, 400) + tube = spline.tube(radius=width) + ax.add_mesh(tube, color=color) + # elif lane_seg.type == 'Circular': + # oc, oc_x, oc_y, oc_z = lane_seg.get_lane_center(num) return ax diff --git a/verse/plotter/plotter3D_new.py b/verse/plotter/plotter3D_new.py index 65ea1843..3e3b272c 100644 --- a/verse/plotter/plotter3D_new.py +++ b/verse/plotter/plotter3D_new.py @@ -1,4 +1,3 @@ -from curses import start_color import plotly.graph_objects as go import numpy as np from typing import List, Tuple, Union -- GitLab