From 15a77e7bcfee1b11ced1a2531026f64a2d8abe6a Mon Sep 17 00:00:00 2001 From: snbenge Date: Fri, 17 Apr 2020 20:50:40 -0400 Subject: [PATCH 01/25] Adding basic chatbot to be modified for our usage. This is partially from: https://data-flair.training/blogs/python-chatbot-project/ --- src/semantic/chatbot_model.h5 | Bin 0 -> 183128 bytes src/semantic/classes.pkl | Bin 0 -> 164 bytes src/semantic/classes.txt | 9 +++ src/semantic/gui_chatbot.py | 114 ++++++++++++++++++++++++++++++++++ src/semantic/intents.json | 73 ++++++++++++++++++++++ src/semantic/pickleManage.py | 33 ++++++++++ src/semantic/train_chatbot.py | 92 +++++++++++++++++++++++++++ src/semantic/words.pkl | Bin 0 -> 1035 bytes src/semantic/words.txt | 87 ++++++++++++++++++++++++++ 9 files changed, 408 insertions(+) create mode 100644 src/semantic/chatbot_model.h5 create mode 100644 src/semantic/classes.pkl create mode 100644 src/semantic/classes.txt create mode 100644 src/semantic/gui_chatbot.py create mode 100644 src/semantic/intents.json create mode 100644 src/semantic/pickleManage.py create mode 100644 src/semantic/train_chatbot.py create mode 100644 src/semantic/words.pkl create mode 100644 src/semantic/words.txt diff 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zp<6tTv>L)SYe#b*e1B%qzz|n6dNb=E{eZQvY!Syya>E5iQ7k^^%WV{g(zZjTAmLUN zE0y!Yt%i0)b6^cOSyt0&zAPJL32QmO4O{8u^^UOVR}9_YG(oty#9lh>;1K;$IFe~N zki*K=ouuV28WF4!z*4_na!0R6GRfzX$@IhtKuhr?dp>->?$5-j8MOzw2Ps2YJl2UlR1bUyQdf z^~~=HOITMAYwFAA@#toA9U0!~Ev&KFDb*VLmVK2Nj6)};vz|*E*(FiEz`f)tJiDQQ zy>_95But7y^5v-Aq0lF!t17C+4 zNxiLd9A59`V2+B-?Nj-DfS8jV)NW>VlUA!$cBRC8OMJ1TMzp7M+$slNv}Bi)7ADdjBrHDpXymL_2= zb;j?9IfI+pg> PKb3ubdonT{h(!MbX-*)t literal 0 HcmV?d00001 diff --git a/src/semantic/classes.pkl b/src/semantic/classes.pkl new file mode 100644 index 0000000000000000000000000000000000000000..ccf71de6e018b62b0ace38393a2edeac3ea4f2e4 GIT binary patch literal 164 zcmXwxF%H5o3`GMiZDC>J4osZK3#!~=B@rcwbSoC5QQiERROR_THRESHOLD] + # sorting strength probability + results.sort(key=lambda x: x[1], reverse=True) + return_list = [] + for r in results: + return_list.append({"intent": classes[r[0]], "probability": str(r[1])}) + return return_list + +def getResponse(ints, intents_json): + tag = ints[0]['intent'] + list_of_intents = intents_json['intents'] + for i in list_of_intents: + if(i['tag']== tag): + result = random.choice(i['responses']) + break + return result + + +#Creating tkinter GUI +import tkinter +from tkinter import * + +def send(): + msg = EntryBox.get("1.0",'end-1c').strip() + EntryBox.delete("0.0",END) + + if msg != '': + ChatBox.config(state=NORMAL) + ChatBox.insert(END, "You: " + msg + '\n\n') + ChatBox.config(foreground="#446665", font=("Verdana", 12 )) + + ints = predict_class(msg) + res = getResponse(ints, intents) + + ChatBox.insert(END, "Bot: " + res + '\n\n') + + ChatBox.config(state=DISABLED) + ChatBox.yview(END) + + +root = Tk() +root.title("Chatbot") +root.geometry("400x500") +root.resizable(width=FALSE, height=FALSE) + +#Create Chat window +ChatBox = Text(root, bd=0, bg="white", height="8", width="50", font="Arial",) + +ChatBox.config(state=DISABLED) + +#Bind scrollbar to Chat window +scrollbar = Scrollbar(root, command=ChatBox.yview, cursor="heart") +ChatBox['yscrollcommand'] = scrollbar.set + +#Create Button to send message +SendButton = Button(root, font=("Verdana",12,'bold'), text="Send", width="12", height=5, + bd=0, bg="#f9a602", activebackground="#3c9d9b",fg='#000000', + command= send ) + +#Create the box to enter message +EntryBox = Text(root, bd=0, bg="white",width="29", height="5", font="Arial") +#EntryBox.bind("", send) + + +#Place all components on the screen +scrollbar.place(x=376,y=6, height=386) +ChatBox.place(x=6,y=6, height=386, width=370) +EntryBox.place(x=128, y=401, height=90, width=265) +SendButton.place(x=6, y=401, height=90) + +root.mainloop() diff --git a/src/semantic/intents.json b/src/semantic/intents.json new file mode 100644 index 0000000..3f97da9 --- /dev/null +++ b/src/semantic/intents.json @@ -0,0 +1,73 @@ +{"intents": [ + {"tag": "greeting", + "patterns": ["Hi there", "How are you", "Is anyone there?","Hey","Hola", "Hello", "Good day"], + "responses": ["Hello, thanks for asking", "Good to see you again", "Hi there, how can I help?"], + "context": [""] + }, + {"tag": "goodbye", + "patterns": ["Bye", "See you later", "Goodbye", "Nice chatting to you, bye", "Till next time"], + "responses": ["See you!", "Have a nice day", "Bye! Come back again soon."], + "context": [""] + }, + {"tag": "thanks", + "patterns": ["Thanks", "Thank you", "That's helpful", "Awesome, thanks", "Thanks for helping me"], + "responses": ["Happy to help!", "Any time!", "My pleasure"], + "context": [""] + }, + {"tag": "noanswer", + "patterns": [], + "responses": ["Sorry, can't understand you", "Please give me more info", "Not sure I understand"], + "context": [""] + }, + {"tag": "options", + "patterns": ["How you could help me?", "What you can do?", "What help you provide?", "How you can be helpful?", "What support is offered"], + "responses": ["I can guide you through Adverse drug reaction list, Blood pressure tracking, Hospitals and Pharmacies", "Offering support for Adverse drug reaction, Blood pressure, Hospitals and Pharmacies"], + "context": [""] + }, + {"tag": "navigation", + "patterns": ["How to check Adverse drug reaction?", "Open adverse drugs module", "Give me a list of drugs causing adverse behavior", "List all drugs suitable for patient with adverse reaction", "Which drugs dont have adverse reaction?" ], + "responses": ["Navigating to Adverse drug reaction module"], + "context": [""] + }, + {"tag": "exit", + "patterns": ["Open blood pressure module", "Task related to blood pressure", "Blood pressure data entry", "I want to log blood pressure results", "Blood pressure data management" ], + "responses": ["Navigating to Blood Pressure module"], + "context": [""] + }, + {"tag": "blood_pressure_search", + "patterns": ["I want to search for blood pressure result history", "Blood pressure for patient", "Load patient blood pressure result", "Show blood pressure results for patient", "Find blood pressure results by ID" ], + "responses": ["Please provide Patient ID", "Patient ID?"], + "context": ["search_blood_pressure_by_patient_id"] + }, + {"tag": "search_blood_pressure_by_patient_id", + "patterns": [], + "responses": ["Loading Blood pressure result for Patient"], + "context": [""] + }, + {"tag": "pharmacy_search", + "patterns": ["Find me a pharmacy", "Find pharmacy", "List of pharmacies nearby", "Locate pharmacy", "Search pharmacy" ], + "responses": ["Please provide pharmacy name"], + "context": ["search_pharmacy_by_name"] + }, + {"tag": "search_pharmacy_by_name", + "patterns": [], + "responses": ["Loading pharmacy details"], + "context": [""] + }, + {"tag": "hospital_search", + "patterns": ["Lookup for hospital", "Searching for hospital to transfer patient", "I want to search hospital data", "Hospital lookup for patient", "Looking up hospital details" ], + "responses": ["Please provide hospital name or location"], + "context": ["search_hospital_by_params"] + }, + {"tag": "search_hospital_by_params", + "patterns": [], + "responses": ["Please provide hospital type"], + "context": ["search_hospital_by_type"] + }, + {"tag": "search_hospital_by_type", + "patterns": [], + "responses": ["Loading hospital details"], + "context": [""] + } + ] +} diff --git a/src/semantic/pickleManage.py b/src/semantic/pickleManage.py new file mode 100644 index 0000000..daa8b3f --- /dev/null +++ b/src/semantic/pickleManage.py @@ -0,0 +1,33 @@ +import pickle + +# file to print current pickle files to text file +# this allows us to monitor current dictionaries +def printPickle(filename): + pickle_in = open(filename + '.pkl',"rb") + currDict = pickle.load(pickle_in) + f = open(filename + '.txt',"w") + for x in currDict: + f.write('%s\n' % x ) + f.close() + +# update pickle files to update dictionaries +# example: grades = {'Bart', 'Lisa', 'Milhouse', 'Nelson'} +def createPickle(filename, pklList): + f = open(filename + '.pkl', 'wb') # Pickle file is newly created where foo1.py is + pickle.dump(pklList, f) # dump data to f + f.close() + +def updatePickle(filename, pklList): + pickle_in = open(filename + '.pkl',"rb") + currDict = pickle.load(pickle_in) + f = open(filename + '.pkl', 'wb') # Pickle file is newly created where foo1.py is + pickle.dump(currDict|pklList, f) # dump data to f + f.close() + +printPickle("classes") +printPickle("words") + +# Example usage +# createPickle('test', {'Bart', 'Lisa', 'Milhouse', 'Nelson'}) +# updatePickle('test', {'Theo'}) +# printPickle("test") diff --git a/src/semantic/train_chatbot.py b/src/semantic/train_chatbot.py new file mode 100644 index 0000000..2c211ae --- /dev/null +++ b/src/semantic/train_chatbot.py @@ -0,0 +1,92 @@ +import numpy as np +from keras.models import Sequential +from keras.layers import Dense, Activation, Dropout +from keras.optimizers import SGD +import random + +import nltk +from nltk.stem import WordNetLemmatizer +lemmatizer = WordNetLemmatizer() +import json +import pickle + +words=[] +classes = [] +documents = [] +ignore_letters = ['!', '?', ',', '.'] +intents_file = open('intents.json').read() +intents = json.loads(intents_file) + +for intent in intents['intents']: + for pattern in intent['patterns']: + #tokenize each word + word = nltk.word_tokenize(pattern) + words.extend(word) + #add documents in the corpus + documents.append((word, intent['tag'])) + # add to our classes list + if intent['tag'] not in classes: + classes.append(intent['tag']) +print(documents) +# lemmaztize and lower each word and remove duplicates +words = [lemmatizer.lemmatize(w.lower()) for w in words if w not in ignore_letters] +words = sorted(list(set(words))) +# sort classes +classes = sorted(list(set(classes))) +# documents = combination between patterns and intents +print (len(documents), "documents") +# classes = intents +print (len(classes), "classes", classes) +# words = all words, vocabulary +print (len(words), "unique lemmatized words", words) + +pickle.dump(words,open('words.pkl','wb')) +pickle.dump(classes,open('classes.pkl','wb')) + +# create our training data +training = [] +# create an empty array for our output +output_empty = [0] * len(classes) +# training set, bag of words for each sentence +for doc in documents: + # initialize our bag of words + bag = [] + # list of tokenized words for the pattern + pattern_words = doc[0] + # lemmatize each word - create base word, in attempt to represent related words + pattern_words = [lemmatizer.lemmatize(word.lower()) for word in pattern_words] + # create our bag of words array with 1, if word match found in current pattern + for word in words: + bag.append(1) if word in pattern_words else bag.append(0) + + # output is a '0' for each tag and '1' for current tag (for each pattern) + output_row = list(output_empty) + output_row[classes.index(doc[1])] = 1 + + training.append([bag, output_row]) +# shuffle our features and turn into np.array +random.shuffle(training) +training = np.array(training) +# create train and test lists. X - patterns, Y - intents +train_x = list(training[:,0]) +train_y = list(training[:,1]) +print("Training data created") + +# Create model - 3 layers. First layer 128 neurons, second layer 64 neurons and 3rd output layer contains number of neurons +# equal to number of intents to predict output intent with softmax +model = Sequential() +model.add(Dense(128, input_shape=(len(train_x[0]),), activation='relu')) +model.add(Dropout(0.5)) +model.add(Dense(64, activation='relu')) +model.add(Dropout(0.5)) +model.add(Dense(len(train_y[0]), activation='softmax')) + +# Compile model. Stochastic gradient descent with Nesterov accelerated gradient gives good results for this model +sgd = SGD(lr=0.01, decay=1e-6, momentum=0.9, nesterov=True) +model.compile(loss='categorical_crossentropy', optimizer=sgd, metrics=['accuracy']) + +#fitting and saving the model +hist = model.fit(np.array(train_x), np.array(train_y), epochs=200, batch_size=5, verbose=1) +model.save('chatbot_model.h5', hist) + +print("model created") diff --git a/src/semantic/words.pkl b/src/semantic/words.pkl new file mode 100644 index 0000000000000000000000000000000000000000..71d696a67809d435206c44b7af9f38c6bca53c18 GIT binary patch literal 1035 zcmX|ARh!!|5IpQbnVI3PbY*5{CcpGSu{N>3D3V8#llrYcz3bI|eah@=JUcs5{?7i! z)M_y^H8r&oF4)wN0rJ48vV7CXhSrlgF;E}5x4c4w-0341aO%>a8vj9dyW_DQ>MoW_0; z>$Cp@(j1sE;b4Z{CWplAfMK`9VL9N12}eY)B5OU4<~G?H$Ar)Ay5CqF|6g^xosd}- zwKyqWD}z&+U}Ey@>vY!fR^g1qQu$b$q%2nQr+$J}xkH1qB4ISnWe{;*99fkp;DRVw z*2TpPz0z2dysR&ogG(Z5{Q#H61Yg{+b9rT*+noQ$oa9wC4 zuNzCaA%!CqdM$3sKu3QPZe?gn!fpA`_i;z2`F@`QY1|ctugT$_9MmeAZqR)RpsrLH zsj|g`Tn37<;V1bpbAulnO?V`SfmE4{cX%v^fx0L(o`^U8u(1hGrHE{_tnjQ@;^lJD zZT?&mi9~oIu42V`zZC7*@HO;!(^sM$o4WQP;kEFRibK4S^i!qW5N~CQ;D~pb!w($q z*Ezg7KIFFHzum`m$fGOqr74AfFLf Date: Sun, 19 Apr 2020 19:17:30 -0400 Subject: [PATCH 02/25] added dependencies necessary for semantic parsing --- src/Dockerfile | 12 ++++++++++-- 1 file changed, 10 insertions(+), 2 deletions(-) diff --git a/src/Dockerfile b/src/Dockerfile index 1139682..5feac02 100644 --- a/src/Dockerfile +++ b/src/Dockerfile @@ -4,7 +4,8 @@ RUN apt-get update && \ apt-get install -y \ build-essential \ python-opencv \ - libpcl-dev + libpcl-dev \ + x11-apps RUN pip install -U pip && \ pip install -U \ @@ -14,6 +15,13 @@ RUN pip install -U pip && \ matplotlib \ nltk \ setuptools \ - pylint + pylint \ + spacy \ + pickle-mixin \ + --upgrade setuptools \ + --no-cache-dir tensorflow \ + keras + +RUN python -m spacy download en_core_web_sm CMD ["/bin/bash"] From f10eb69a75eb12059e00732e938b4d0a4bca6a66 Mon Sep 17 00:00:00 2001 From: snbenge Date: Sun, 19 Apr 2020 19:18:25 -0400 Subject: [PATCH 03/25] additional file that can be used to setup ubuntu GUI with docker --- src/docker-compose.ubuntu | 27 +++++++++++++++++++++++++++ 1 file changed, 27 insertions(+) create mode 100644 src/docker-compose.ubuntu diff --git a/src/docker-compose.ubuntu b/src/docker-compose.ubuntu new file mode 100644 index 0000000..d23a477 --- /dev/null +++ b/src/docker-compose.ubuntu @@ -0,0 +1,27 @@ +# Docker Compose + +# docker-compose.yml format version +version: '3' + +# Define services +services: + # Python Development Container + python-dev: + # Use Dockerfile in current folder + build: . + # Mount ros-dev folder on host to app folder in container + volumes: + - ./control:/app/control + - ./dataset:/app/dataset + - ./localization:/app/localization + - ./planning:/app/planning + - ./semantic:/app/semantic + - ./visualization:/app/visualization + - /tmp/.X11-unix/:/tmp/.X11-unix + # Set DISPLAY variable and network mode for GUIs + environment: + - DISPLAY=$DISPLAY + #- DISPLAY=${IP_ADDRESS}:0.0 + network_mode: "host" + # Set working directory in container to app folder + working_dir: /app From a030c250c9a4a61f7fa4beab33de879313649302 Mon Sep 17 00:00:00 2001 From: snbenge Date: Sun, 19 Apr 2020 19:19:41 -0400 Subject: [PATCH 04/25] modified basic chatbot to include grabbing information from entities --- src/semantic/chatbot_model.h5 | Bin 183128 -> 160600 bytes src/semantic/classes.pkl | Bin 164 -> 76 bytes src/semantic/classes.txt | 6 ++-- src/semantic/gui_chatbot.py | 60 ++++++++++++++++++++++++++++------ src/semantic/intents.json | 47 ++++---------------------- src/semantic/pickleManage.py | 5 +-- src/semantic/train_chatbot.py | 4 +++ src/semantic/words.pkl | Bin 1035 -> 508 bytes src/semantic/words.txt | 5 +++ 9 files changed, 70 insertions(+), 57 deletions(-) diff --git a/src/semantic/chatbot_model.h5 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src/semantic/building_words.txt | 14 +++++ src/semantic/buildings.pkl | Bin 0 -> 116 bytes src/semantic/buildings.txt | 5 ++ src/semantic/buildings_model.h5 | Bin 0 -> 122456 bytes src/semantic/gui_chatbot.py | 42 ++++++++++--- src/semantic/train_buildings.py | 96 ++++++++++++++++++++++++++++++ 8 files changed, 176 insertions(+), 9 deletions(-) create mode 100644 src/semantic/buildingIntents.json create mode 100644 src/semantic/building_words.pkl create mode 100644 src/semantic/building_words.txt create mode 100644 src/semantic/buildings.pkl create mode 100644 src/semantic/buildings.txt create mode 100644 src/semantic/buildings_model.h5 create mode 100644 src/semantic/train_buildings.py diff --git a/src/semantic/buildingIntents.json b/src/semantic/buildingIntents.json new file mode 100644 index 0000000..25284fc --- /dev/null +++ b/src/semantic/buildingIntents.json @@ -0,0 +1,28 @@ +{"intents": [ + {"tag": "Bob and Betty Beyster", + "patterns": ["BBB", "CSE", "CS","Computer Science", "Bob", "Bob and Betty Beyster", "Betty"], + "responses": ["Bob and Betty Beyster"], + "context": [""] + }, + {"tag": "Duderstadt", + "patterns": ["Dude", "the Dude", "Duderstadt", "Mujos", "Library", "North Campus Library"], + "responses": ["Duderstadt"], + "context": [""] + }, + {"tag": "FXB", + "patterns": ["FXB", "Francois-Xavier Bagnoud", "Aerospace", "Aerospace Engineering", "planes"], + "responses": ["FXB"], + "context": [""] + }, + {"tag": "Electrical and Computer Engineering", + "patterns": ["Electrical and Computer Engineering","Electrical", "Electrical Engineering", "Computer Engineering", "Computer", "EECS", "ECE"], + "responses": ["Electrical and Computer Engineering"], + "context": [""] + }, + {"tag": "Pierpont Commons", + "patterns": ["Pierpont", "Pierpont Commons", "Commons", "Panda Express"], + "responses": ["Pierpont Commons"], + "context": [""] + } +] +} diff --git a/src/semantic/building_words.pkl b/src/semantic/building_words.pkl new file mode 100644 index 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z_pest=+b5~Dg3Kgy<@x$zEwz)pKcfAsSj~wpR2exs`p5U!hIxPdld?Ay@Tr?XA*^q zM$#p#Nn$RVGlzptL)S&KuuEz^dLiYJ VHjl27ecJEDK5K>qzyFBg{{T%qvY7w? literal 0 HcmV?d00001 diff --git a/src/semantic/gui_chatbot.py b/src/semantic/gui_chatbot.py index 17def45..c4d5889 100644 --- a/src/semantic/gui_chatbot.py +++ b/src/semantic/gui_chatbot.py @@ -9,11 +9,15 @@ import spacy from keras.models import load_model model = load_model('chatbot_model.h5') +modelBuilding = load_model('buildings_model.h5') import json import random intents = json.loads(open('intents.json').read()) words = pickle.load(open('words.pkl','rb')) classes = pickle.load(open('classes.pkl','rb')) +buildingsIntents = json.loads(open('buildingIntents.json').read()) +building_words = pickle.load(open('building_words.pkl','rb')) +buildings = pickle.load(open('buildings.pkl','rb')) def clean_up_sentence(sentence): # tokenize the pattern - splitting words into array @@ -24,13 +28,13 @@ def clean_up_sentence(sentence): # return bag of words array: 0 or 1 for words that exist in sentence -def bag_of_words(sentence, words, show_details=True): +def bag_of_words(sentence, wording, show_details=True): # tokenizing patterns sentence_words = clean_up_sentence(sentence) # bag of words - vocabulary matrix - bag = [0]*len(words) + bag = [0]*len(wording) for s in sentence_words: - for i,word in enumerate(words): + for i,word in enumerate(wording): if word == s: # assign 1 if current word is in the vocabulary position bag[i] = 1 @@ -51,18 +55,29 @@ def predict_class(sentence): return_list.append({"intent": classes[r[0]], "probability": str(r[1])}) return return_list +def predict_building(currbuilding): + # filter below threshold predictions + p = bag_of_words(currbuilding, building_words,show_details=False) + res = modelBuilding.predict(np.array([p]))[0] + ERROR_THRESHOLD = 0.5 + results = [[i,r] for i,r in enumerate(res) if r>ERROR_THRESHOLD] + # sorting strength probability + results.sort(key=lambda x: x[1], reverse=True) + return_list = [] + for r in results: + return_list.append({"buildingIntents": buildings[r[0]], "probability": str(r[1])}) + return return_list + def getResponse(ints, intents_json): tag = ints[0]['intent'] list_of_intents = intents_json['intents'] - print("ints") - print(ints) for i in list_of_intents: if(i['tag']== tag): result = random.choice(i['responses']) break return result -def getInfo(sentence): +def getBuildingInfo(sentence): doc = nlp(sentence) start = 0 end = 0 @@ -101,9 +116,18 @@ def send(): ints = predict_class(msg) if ints[0]['intent'] == "navigation": - building = getInfo(msgClean) - #TODO: Check if buildings are available - res = "Now navigating to " + building[1] + " from " + building[0] + currbuilding = getBuildingInfo(msgClean) + if currbuilding[0] == 'random location': + currbuilding[0] = buildings[random.randint(0, len(buildings)-1)] + while currbuilding[0] == currbuilding[1]: + currbuilding[1] = buildings[random.randint(0, len(buildings)-1)] + if currbuilding[1] == 'random location': + currbuilding[1] = buildings[random.randint(0, len(buildings)-1)] + while currbuilding[0] == currbuilding[1]: + currbuilding[1] = buildings[random.randint(0, len(buildings)-1)] + fromBuild = predict_building(currbuilding[0]) + toBuild = predict_building(currbuilding[1]) + res = "Now navigating to " + toBuild[0]['buildingIntents'] + " from " + fromBuild[0]['buildingIntents'] #TODO: START CONVERSION TO GPS COORDINATES elif ints[0]['intent'] == "exit": res = getResponse(ints, intents) diff --git a/src/semantic/train_buildings.py b/src/semantic/train_buildings.py new file mode 100644 index 0000000..edcc2fc --- /dev/null +++ b/src/semantic/train_buildings.py @@ -0,0 +1,96 @@ +import numpy as np +from keras.models import Sequential +from keras.layers import Dense, Activation, Dropout +from keras.optimizers import SGD +import random + +import nltk +from nltk.stem import WordNetLemmatizer +lemmatizer = WordNetLemmatizer() +import json +import pickle + +building_words=[] +buildings = [] +documents = [] +ignore_letters = ['!', '?', ',', '.'] +buildingIntents_file = open('buildingIntents.json').read() +buildingIntents = json.loads(buildingIntents_file) + +# download nltk resources +nltk.download('punkt') +nltk.download('wordnet') + +for intent in buildingIntents['intents']: + for pattern in intent['patterns']: + #tokenize each word + word = nltk.word_tokenize(pattern) + building_words.extend(word) + #add documents in the corpus + documents.append((word, intent['tag'])) + # add to our buildings list + if intent['tag'] not in buildings: + buildings.append(intent['tag']) +print(documents) +# lemmaztize and lower each word and remove duplicates +building_words = [lemmatizer.lemmatize(w.lower()) for w in building_words if w not in ignore_letters] +building_words = sorted(list(set(building_words))) +# sort buildings +buildings = sorted(list(set(buildings))) +# documents = combination between patterns and buildingIntents +print (len(documents), "documents") +# buildings = buildingIntents +print (len(buildings), "buildings", buildings) +# building_words = all building_words, vocabulary +print (len(building_words), "unique lemmatized building_words", building_words) + +pickle.dump(building_words,open('building_words.pkl','wb')) +pickle.dump(buildings,open('buildings.pkl','wb')) + +# create our training data +training = [] +# create an empty array for our output +output_empty = [0] * len(buildings) +# training set, bag of building_words for each sentence +for doc in documents: + # initialize our bag of building_words + bag = [] + # list of tokenized building_words for the pattern + pattern_building_words = doc[0] + # lemmatize each word - create base word, in attempt to represent related building_words + pattern_building_words = [lemmatizer.lemmatize(word.lower()) for word in pattern_building_words] + # create our bag of building_words array with 1, if word match found in current pattern + for word in building_words: + bag.append(1) if word in pattern_building_words else bag.append(0) + + # output is a '0' for each tag and '1' for current tag (for each pattern) + output_row = list(output_empty) + output_row[buildings.index(doc[1])] = 1 + + training.append([bag, output_row]) +# shuffle our features and turn into np.array +random.shuffle(training) +training = np.array(training) +# create train and test lists. X - patterns, Y - buildingIntents +train_x = list(training[:,0]) +train_y = list(training[:,1]) +print("Buildings Training data created") + +# Create model - 3 layers. First layer 128 neurons, second layer 64 neurons and 3rd output layer contains number of neurons +# equal to number of buildingIntents to predict output intent with softmax +model = Sequential() +model.add(Dense(128, input_shape=(len(train_x[0]),), activation='relu')) +model.add(Dropout(0.5)) +model.add(Dense(64, activation='relu')) +model.add(Dropout(0.5)) +model.add(Dense(len(train_y[0]), activation='softmax')) + +# Compile model. Stochastic gradient descent with Nesterov accelerated gradient gives good results for this model +sgd = SGD(lr=0.01, decay=1e-6, momentum=0.9, nesterov=True) +model.compile(loss='categorical_crossentropy', optimizer=sgd, metrics=['accuracy']) + +#fitting and saving the model +hist = model.fit(np.array(train_x), np.array(train_y), epochs=200, batch_size=5, verbose=1) +model.save('buildings_model.h5', hist) + +print("building model created") From 0595525203e5c4eab8038194b56fda071c5e7c52 Mon Sep 17 00:00:00 2001 From: snbenge Date: Mon, 20 Apr 2020 13:24:41 -0400 Subject: [PATCH 06/25] renaming the this docker file. This file is used to make the gui work in ubuntu. I did not realize .ubuntu was an actual extension --- src/{docker-compose.ubuntu => docker-compose_ubuntu} | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename src/{docker-compose.ubuntu => docker-compose_ubuntu} (100%) diff --git a/src/docker-compose.ubuntu b/src/docker-compose_ubuntu similarity index 100% rename from src/docker-compose.ubuntu rename to src/docker-compose_ubuntu From cba991bfbe6f27bfbaed714398f274b60044bedb Mon Sep 17 00:00:00 2001 From: snbenge Date: Mon, 20 Apr 2020 13:42:20 -0400 Subject: [PATCH 07/25] improved building intents to more acturately predict buildings and added confirmation before continuing navigation --- .../__pycache__/pickleManage.cpython-35.pyc | Bin 0 -> 968 bytes .../__pycache__/pickleManage.cpython-38.pyc | Bin 0 -> 834 bytes src/semantic/buildingIntents.json | 4 ++-- src/semantic/buildings_model.h5 | Bin 122456 -> 122456 bytes src/semantic/chatbot_model.h5 | Bin 160600 -> 158040 bytes src/semantic/classes.pkl | Bin 76 -> 87 bytes 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pickle.load(open('building_words.pkl','rb')) buildings = pickle.load(open('buildings.pkl','rb')) +confirmation = 0 def clean_up_sentence(sentence): # tokenize the pattern - splitting words into array @@ -115,7 +116,15 @@ def send(): ChatBox.config(foreground="#446665", font=("Verdana", 12 )) ints = predict_class(msg) - if ints[0]['intent'] == "navigation": + global confirmation + if (ints[0]['intent'] == "yes" or ints[0]['intent'] == "no") and confirmation == 1: + if ints[0]['intent'] == "yes": + res = "Starting navigation" + elif ints[0]['intent'] == "no": + res = "Cancelled operation" + confirmation = 0 + #TODO: START CONVERSION TO GPS COORDINATES + elif ints[0]['intent'] == "navigation": currbuilding = getBuildingInfo(msgClean) if currbuilding[0] == 'random location': currbuilding[0] = buildings[random.randint(0, len(buildings)-1)] @@ -127,11 +136,11 @@ def send(): currbuilding[1] = buildings[random.randint(0, len(buildings)-1)] fromBuild = predict_building(currbuilding[0]) toBuild = predict_building(currbuilding[1]) - res = "Now navigating to " + toBuild[0]['buildingIntents'] + " from " + fromBuild[0]['buildingIntents'] - #TODO: START CONVERSION TO GPS COORDINATES + res = "You chose navigating to " + toBuild[0]['buildingIntents'] + " from " + fromBuild[0]['buildingIntents'] + ". Is this correct?" + confirmation = 1 elif ints[0]['intent'] == "exit": res = getResponse(ints, intents) - #TODO: STOP EVERYTHING + #TODO: OPTIONAL STOP EVERYTHING else: res = getResponse(ints, intents) ChatBox.insert(END, "Belatrix: " + res + '\n\n') diff --git a/src/semantic/intents.json b/src/semantic/intents.json index f8de93e..3f7d586 100644 --- a/src/semantic/intents.json +++ b/src/semantic/intents.json @@ -25,14 +25,24 @@ "context": [""] }, {"tag": "navigation", - "patterns": ["Can you take me to the ", "Open adverse drugs module", "Give me a list of drugs causing adverse behavior", "List all drugs suitable for patient with adverse reaction", "Which drugs dont have adverse reaction?" ], - "responses": ["Navigating to Adverse drug reaction module"], + "patterns": ["Can you take me to the ", "Take me to the building", "Map me to the location", "Navigate me to the building from the building"], + "responses": ["Starting Navigation"], "context": ["navigation_to_building"] }, {"tag": "exit", "patterns": ["stop", "quit", "end", "I want to stop navigation"], "responses": ["Ending current navigation"], "context": ["navigation_to_building"] + }, + {"tag": "yes", + "patterns": ["yes", "y", "sure", "right", "correct"], + "responses": ["I am sorry. I don't understand"], + "context": ["navigation_to_building"] + }, + {"tag": "no", + "patterns": ["no", "nope", "n", "wrong", "incorrect"], + "responses": ["I am sorry. I don't understand"], + "context": ["navigation_to_building"] } ] } diff --git a/src/semantic/words.pkl b/src/semantic/words.pkl index 0397e809dad264aeeeb33cb091bcad33fdf65a7b..d712d2692999a187cd6a2d1bb6d3e967ed34fe33 100644 GIT binary patch delta 274 zcmXYsF-`+95JhpkXhVw>(I6oxAQcy&OPP|M!tu^-EbV&C*pB2b2XM2B;WFHVo_kO* zj&R{Gy_tDq|H>bEeQZ9y#l`u&m33Y``T6l-9nIJoJCrPU3Ha8^mb}z^6~Y;}8i_!M z*{$v+*p6Fzq>`JSaN-ycnYA@`Y5v;0Tp9a6Qu4z1k}pRUfG3tCY84E!Urx$#b>fAh zuCwZ31{F@X;%;k^tri{ETI_ousD4LyFdehzJ(|E$GQ*xzdZ^F`WMS*0b4ZLE9|=yM U;`N5GeoiEAO~9{_31flhKgPppUH||9 literal 508 zcmX9*L2`sJ4C_KzcKVU_)F1U=z>v&lW10jgw?2R)eQ1ABIm;n7vaqD^V}AcGFXj0> z-;e4ooyUdFqorZxnD{(u^8P%o6m|*aHR5b(<0KDsRfpr&v8B~X1ijmp)l&egrzN>C zfzVsZxwK6$iyuH4XvgP+oQD}CWG!(4x8|VZQMZ}NtypI!5n!#Bvfn@scw^anU4S}c zu4PWQ2~4BS(feBQtB{8D!Qp?Hpxw1DNJ(aR6?Ssef*&6Dyvw!1XO*Or6TLX_;q< zDw63ApvjiP9fnGUTZ0DUI@{+I;tD$bM=0fwWWAA%%9U<~-fY(OR#BHx>RpzTKmGx> CHOfu^ From 1c855f1afcc0c6cdd23860ffd0c3f45917b7c88c Mon Sep 17 00:00:00 2001 From: snbenge Date: Mon, 20 Apr 2020 13:53:05 -0400 Subject: [PATCH 08/25] reorganization of pickles and intents to clean up directory --- src/semantic/buildings_model.h5 | Bin 122456 -> 122456 bytes src/semantic/chatbot_model.h5 | Bin 158040 -> 158040 bytes src/semantic/gui_chatbot.py | 12 ++++++------ .../{ => intents}/buildingIntents.json | 0 src/semantic/{ => intents}/intents.json | 0 src/semantic/{ => pickles}/building_words.pkl | Bin src/semantic/{ => pickles}/building_words.txt | 0 src/semantic/{ => pickles}/buildings.pkl | Bin src/semantic/{ => pickles}/buildings.txt | 0 src/semantic/{ => pickles}/classes.pkl | Bin src/semantic/{ => pickles}/classes.txt | 0 src/semantic/{ => pickles}/pickleManage.py | 0 src/semantic/{ => pickles}/words.pkl | Bin src/semantic/{ => pickles}/words.txt | 0 src/semantic/train_buildings.py | 6 +++--- src/semantic/train_chatbot.py | 6 +++--- 16 files changed, 12 insertions(+), 12 deletions(-) rename src/semantic/{ => intents}/buildingIntents.json (100%) rename src/semantic/{ 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Added GPS manip which allows for movement from GPS coordinates to XYZ coordinates --- .../project_vel_to_cam.py | 4 ++-- .../read_gps.py | 0 .../read_ground_truth.py | 0 .../read_hokuyo_30m.py | 0 .../read_hokuyo_4m.py | 0 .../read_ms25.py | 0 .../read_ms25_euler.py | 0 .../read_odom.py | 0 .../undistort.py | 0 src/dataset/dataManipulation/GPSmanip.py | 24 +++++++++++++++++++ 10 files changed, 26 insertions(+), 2 deletions(-) rename src/dataset/{ManageDataset => ManageNCLTDataset}/project_vel_to_cam.py (98%) rename src/dataset/{ManageDataset => ManageNCLTDataset}/read_gps.py (100%) rename src/dataset/{ManageDataset => ManageNCLTDataset}/read_ground_truth.py (100%) rename src/dataset/{ManageDataset => ManageNCLTDataset}/read_hokuyo_30m.py (100%) rename src/dataset/{ManageDataset => ManageNCLTDataset}/read_hokuyo_4m.py (100%) rename src/dataset/{ManageDataset => ManageNCLTDataset}/read_ms25.py (100%) rename src/dataset/{ManageDataset => ManageNCLTDataset}/read_ms25_euler.py (100%) rename src/dataset/{ManageDataset => ManageNCLTDataset}/read_odom.py (100%) rename src/dataset/{ManageDataset => ManageNCLTDataset}/undistort.py (100%) create mode 100644 src/dataset/dataManipulation/GPSmanip.py diff --git a/src/dataset/ManageDataset/project_vel_to_cam.py b/src/dataset/ManageNCLTDataset/project_vel_to_cam.py similarity index 98% rename from src/dataset/ManageDataset/project_vel_to_cam.py rename to src/dataset/ManageNCLTDataset/project_vel_to_cam.py index 0356d4e..415e06f 100644 --- a/src/dataset/ManageDataset/project_vel_to_cam.py +++ b/src/dataset/ManageNCLTDataset/project_vel_to_cam.py @@ -120,7 +120,7 @@ def project_vel_to_cam(hits, cam_num): def main(args): if len(args)<4: - print """Incorrect usage. + print("""Incorrect usage. To use: @@ -129,7 +129,7 @@ To use: vel: The velodyne binary file (timestamp.bin) img: The undistorted image (timestamp.tiff) cam_num: The index (0 through 5) of the camera -""" + """) return 1 diff --git a/src/dataset/ManageDataset/read_gps.py b/src/dataset/ManageNCLTDataset/read_gps.py similarity index 100% rename from src/dataset/ManageDataset/read_gps.py rename to src/dataset/ManageNCLTDataset/read_gps.py diff --git a/src/dataset/ManageDataset/read_ground_truth.py b/src/dataset/ManageNCLTDataset/read_ground_truth.py similarity index 100% rename from src/dataset/ManageDataset/read_ground_truth.py rename to src/dataset/ManageNCLTDataset/read_ground_truth.py diff --git a/src/dataset/ManageDataset/read_hokuyo_30m.py b/src/dataset/ManageNCLTDataset/read_hokuyo_30m.py similarity index 100% rename from src/dataset/ManageDataset/read_hokuyo_30m.py rename to src/dataset/ManageNCLTDataset/read_hokuyo_30m.py diff --git a/src/dataset/ManageDataset/read_hokuyo_4m.py b/src/dataset/ManageNCLTDataset/read_hokuyo_4m.py similarity index 100% rename from src/dataset/ManageDataset/read_hokuyo_4m.py rename to src/dataset/ManageNCLTDataset/read_hokuyo_4m.py diff --git a/src/dataset/ManageDataset/read_ms25.py b/src/dataset/ManageNCLTDataset/read_ms25.py similarity index 100% rename from src/dataset/ManageDataset/read_ms25.py rename to src/dataset/ManageNCLTDataset/read_ms25.py diff --git a/src/dataset/ManageDataset/read_ms25_euler.py b/src/dataset/ManageNCLTDataset/read_ms25_euler.py similarity index 100% rename from src/dataset/ManageDataset/read_ms25_euler.py rename to src/dataset/ManageNCLTDataset/read_ms25_euler.py diff --git a/src/dataset/ManageDataset/read_odom.py b/src/dataset/ManageNCLTDataset/read_odom.py similarity index 100% rename from src/dataset/ManageDataset/read_odom.py rename to src/dataset/ManageNCLTDataset/read_odom.py diff --git a/src/dataset/ManageDataset/undistort.py b/src/dataset/ManageNCLTDataset/undistort.py similarity index 100% rename from src/dataset/ManageDataset/undistort.py rename to src/dataset/ManageNCLTDataset/undistort.py diff --git a/src/dataset/dataManipulation/GPSmanip.py b/src/dataset/dataManipulation/GPSmanip.py new file mode 100644 index 0000000..7ee0f2f --- /dev/null +++ b/src/dataset/dataManipulation/GPSmanip.py @@ -0,0 +1,24 @@ +import sys +import numpy as np + + +def gpstoLocalFrame(lat, lng, alt): + lat0 = 0.7381566413 + lng0 = -1.4610097151 + alt0 = 265.8 + + print(np.deg2rad(lng)) + dLat = np.deg2rad(lat) - lat0 + print(dLat) + dLng = np.deg2rad(lng) - lng0 + dAlt = alt - alt0 + + r = 6400000 # approx. radius of earth (m) + y = r * np.cos(lat0) * np.sin(dLng) + x = r * np.sin(dLat) + z = dAlt + + return [x,y,z] +#Example +# x = gpstoLocalFrame(42.29360387311647,-83.71222615242006,272) +# print(x) From 576bb8ef6d4accf4fd3b608d500bb091a3354645 Mon Sep 17 00:00:00 2001 From: snbenge Date: Tue, 21 Apr 2020 00:25:11 -0400 Subject: [PATCH 10/25] added ability to go from building to GPS coordinates to XYZ coordinates --- src/semantic/findBuildingCoord.py | 65 ++++++++++++++++++++++ src/semantic/pickles/BuildingMappings.pkl | 57 +++++++++++++++++++ src/semantic/pickles/BuildingMappings.txt | 5 ++ src/semantic/pickles/building_words.pkl | Bin 275 -> 288 bytes src/semantic/pickles/pickleManage.pyc | Bin 0 -> 989 bytes 5 files changed, 127 insertions(+) create mode 100644 src/semantic/findBuildingCoord.py create mode 100644 src/semantic/pickles/BuildingMappings.pkl create mode 100644 src/semantic/pickles/BuildingMappings.txt create mode 100644 src/semantic/pickles/pickleManage.pyc diff --git a/src/semantic/findBuildingCoord.py b/src/semantic/findBuildingCoord.py new file mode 100644 index 0000000..4134ffc --- /dev/null +++ b/src/semantic/findBuildingCoord.py @@ -0,0 +1,65 @@ +import sys +import numpy as np +import pickle +import math + +def gpstoLocalFrame(lat, lng, alt): + lat0 = 0.7381566413 + lng0 = -1.4610097151 + alt0 = 265.8 + + dLat = np.deg2rad(lat) - lat0 + dLng = np.deg2rad(lng) - lng0 + dAlt = alt - alt0 + + r = 6400000 # approx. radius of earth (m) + y = r * np.cos(lat0) * np.sin(dLng) + x = r * np.sin(dLat) + z = dAlt + + return [x,y,z] +#Example +# x = gpstoLocalFrame(42.29360387311647,-83.71222615242006,272) +# print(x) + +def buildingtoGPS(building): + pickle_in = open('pickles/BuildingMappings.pkl',"rb") + currDict = pickle.load(pickle_in) + for place in currDict: + if place == building: + return currDict.get(building) + return 0 + +def findClosestEntrance(building1, building2): + gps1 = buildingtoGPS(building1) + gps2 = buildingtoGPS(building2) + + x = [0,0,0,0] + x[0] = calculateDistance(gps1[0][0],gps1[0][1],gps2[0][0],gps2[0][1]) + x[1] = calculateDistance(gps1[0][0],gps1[0][1],gps2[1][0],gps2[1][1]) + x[2] = calculateDistance(gps1[1][0],gps1[1][1],gps2[0][0],gps2[0][1]) + x[3] = calculateDistance(gps1[1][0],gps1[1][1],gps2[1][0],gps2[1][1]) + index = np.argmin(x) + if index == 0: + return [gps1[0],gps2[0]] + elif index == 1: + return [gps1[0],gps2[1]] + elif index == 2: + return [gps1[1],gps2[0]] + else: + return [gps1[1],gps2[1]] +# Example +# print(findClosestEntrance("BBB", "EECS")) + +def calculateDistance(x1,y1,x2,y2): + dist = math.sqrt((x2 - x1)**2 + (y2 - y1)**2) + return dist + +# Example usage of overall file +''' +GPScoords = findClosestEntrance("BBB", "EECS") +Building1 = gpstoLocalFrame(GPScoords[0][0], GPScoords[0][1], GPScoords[0][2]) +Building2 = gpstoLocalFrame(GPScoords[1][0], GPScoords[1][1], GPScoords[1][2]) +print(Building1) +print(Building2) +''' \ No newline at end of file diff --git a/src/semantic/pickles/BuildingMappings.pkl b/src/semantic/pickles/BuildingMappings.pkl new file mode 100644 index 0000000..501a791 --- /dev/null +++ b/src/semantic/pickles/BuildingMappings.pkl @@ -0,0 +1,57 @@ +(dp0 +S'EECS' +p1 +(lp2 +(lp3 +F42.29259200117389 +aF-83.71376574039459 +aI266 +aa(lp4 +F42.29250866981882 +aF-83.71487081050874 +aI264 +aasS'Duderstadt' +p5 +(lp6 +(lp7 +F42.29067138383511 +aF-83.7162870168686 +aI261 +aa(lp8 +F42.29158011297468 +aF-83.71514439582826 +aI263 +aasS'FXB' +p9 +(lp10 +(lp11 +F42.29360387311647 +aF-83.71222615242006 +aI272 +aa(lp12 +F42.29359196883519 +aF-83.71161460876466 +aI274 +aasS'Pierpont' +p13 +(lp14 +(lp15 +F42.291536462529756 +aF-83.71705412864686 +aI261 +aa(lp16 +F42.29065947899958 +aF-83.7178158760071 +aI258 +aasS'BBB' +p17 +(lp18 +(lp19 +F42.292667396114446 +aF-83.71626019477846 +aI264 +aa(lp20 +F42.2933737232794 +aF-83.71622264385225 +aI271 +aas. \ No newline at end of file diff --git a/src/semantic/pickles/BuildingMappings.txt b/src/semantic/pickles/BuildingMappings.txt new file mode 100644 index 0000000..f5ca3fa --- /dev/null +++ b/src/semantic/pickles/BuildingMappings.txt @@ -0,0 +1,5 @@ +EECS +Duderstadt +Pierpont +BBB +FXB diff --git a/src/semantic/pickles/building_words.pkl b/src/semantic/pickles/building_words.pkl index 0a090e3ef53e75fb4ece48be07d5074cbdbae374..bbc2bc1131e76a95d09aae87ab2860f750b84f62 100644 GIT binary patch delta 27 icmbQtw1A1Ffn}=bM3x+Gu9Vb*#G;bi)Vz|3c}oFtc?nnm delta 15 WcmZ3$G?|H|fn_SkM3$V1wTl5G#03uk diff --git a/src/semantic/pickles/pickleManage.pyc b/src/semantic/pickles/pickleManage.pyc new file mode 100644 index 0000000000000000000000000000000000000000..4438a9d9857f2334f7a27aef8d53ef690dde2ec2 GIT binary patch literal 989 zcma)4O>fgc5S_IhAfcf}6msN*WC^Jf_X;7UN2t*DPzec;Yj2TTCo$fQ5+vso{sw;% zegM2TCJ7%Z!t%_{&d%)2dpq&B;UM|?qu5cf|098S|e*Ct7sDu%Lq3!B9`T2 zX(Ks#JCao*Z7f$P){{1oM@TUrkL8?BM2i?SdzRiprBlzsNA-0Th^D#d_F)-NP-Nj_ z=qG-lEeFQVYBvo`t;_tna_XyQSrLe0(Uifdl~*(Gx~w}mxGXC-%_c7Nx0&zDY2Z;l zZ<>=b?+RXO*<}j9sPg;Ugjd-#`{0i1PvI_o4f0=W53KC>pu{{d`;eh|Xma9V_mnZj zKZE*wpov=amF@&_NRNfCs}8{~7^c7?wmq$D9&O)Ce=8z?0v` zgAjMXEp}puQ2MAl>{h9`$5RE*{uI1r_m(eg`RM Date: Tue, 21 Apr 2020 00:26:06 -0400 Subject: [PATCH 11/25] improved messages withing the gui response and updated buildings model --- src/semantic/buildings_model.h5 | Bin 122456 -> 123480 bytes src/semantic/gui_chatbot.py | 9 ++++----- 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z`DWvY%a2R)K)l1Oamhp2IK7Wdb1kQz)_aNvt&a$TG#_$5#uwA|R&8RuyNr9+ae}+` zPReTkDuP^wOX Date: Tue, 21 Apr 2020 22:06:41 -0400 Subject: [PATCH 12/25] I commit these to the wrong branchgit status! Whoops --- src/semantic/findBuildingCoord.py | 65 ----------------------- src/semantic/pickles/BuildingMappings.pkl | 57 -------------------- src/semantic/pickles/BuildingMappings.txt | 5 -- src/semantic/pickles/pickleManage.py | 30 ----------- 4 files changed, 157 deletions(-) delete mode 100644 src/semantic/findBuildingCoord.py delete mode 100644 src/semantic/pickles/BuildingMappings.pkl delete mode 100644 src/semantic/pickles/BuildingMappings.txt delete mode 100644 src/semantic/pickles/pickleManage.py diff --git a/src/semantic/findBuildingCoord.py b/src/semantic/findBuildingCoord.py deleted file mode 100644 index 4134ffc..0000000 --- a/src/semantic/findBuildingCoord.py +++ /dev/null @@ -1,65 +0,0 @@ -import sys -import numpy as np -import pickle -import math - -def gpstoLocalFrame(lat, lng, alt): - lat0 = 0.7381566413 - lng0 = -1.4610097151 - alt0 = 265.8 - - dLat = np.deg2rad(lat) - lat0 - dLng = np.deg2rad(lng) - lng0 - dAlt = alt - alt0 - - r = 6400000 # approx. radius of earth (m) - y = r * np.cos(lat0) * np.sin(dLng) - x = r * np.sin(dLat) - z = dAlt - - return [x,y,z] -#Example -# x = gpstoLocalFrame(42.29360387311647,-83.71222615242006,272) -# print(x) - -def buildingtoGPS(building): - pickle_in = open('pickles/BuildingMappings.pkl',"rb") - currDict = pickle.load(pickle_in) - for place in currDict: - if place == building: - return currDict.get(building) - return 0 - -def findClosestEntrance(building1, building2): - gps1 = buildingtoGPS(building1) - gps2 = buildingtoGPS(building2) - - x = [0,0,0,0] - x[0] = calculateDistance(gps1[0][0],gps1[0][1],gps2[0][0],gps2[0][1]) - x[1] = calculateDistance(gps1[0][0],gps1[0][1],gps2[1][0],gps2[1][1]) - x[2] = calculateDistance(gps1[1][0],gps1[1][1],gps2[0][0],gps2[0][1]) - x[3] = calculateDistance(gps1[1][0],gps1[1][1],gps2[1][0],gps2[1][1]) - index = np.argmin(x) - if index == 0: - return [gps1[0],gps2[0]] - elif index == 1: - return [gps1[0],gps2[1]] - elif index == 2: - return [gps1[1],gps2[0]] - else: - return [gps1[1],gps2[1]] -# Example -# print(findClosestEntrance("BBB", "EECS")) - -def calculateDistance(x1,y1,x2,y2): - dist = math.sqrt((x2 - x1)**2 + (y2 - y1)**2) - return dist - -# Example usage of overall file -''' -GPScoords = findClosestEntrance("BBB", "EECS") -Building1 = gpstoLocalFrame(GPScoords[0][0], GPScoords[0][1], GPScoords[0][2]) -Building2 = gpstoLocalFrame(GPScoords[1][0], GPScoords[1][1], GPScoords[1][2]) -print(Building1) -print(Building2) -''' \ No newline at end of file diff --git a/src/semantic/pickles/BuildingMappings.pkl b/src/semantic/pickles/BuildingMappings.pkl deleted file mode 100644 index 501a791..0000000 --- a/src/semantic/pickles/BuildingMappings.pkl +++ /dev/null @@ -1,57 +0,0 @@ -(dp0 -S'EECS' -p1 -(lp2 -(lp3 -F42.29259200117389 -aF-83.71376574039459 -aI266 -aa(lp4 -F42.29250866981882 -aF-83.71487081050874 -aI264 -aasS'Duderstadt' -p5 -(lp6 -(lp7 -F42.29067138383511 -aF-83.7162870168686 -aI261 -aa(lp8 -F42.29158011297468 -aF-83.71514439582826 -aI263 -aasS'FXB' -p9 -(lp10 -(lp11 -F42.29360387311647 -aF-83.71222615242006 -aI272 -aa(lp12 -F42.29359196883519 -aF-83.71161460876466 -aI274 -aasS'Pierpont' -p13 -(lp14 -(lp15 -F42.291536462529756 -aF-83.71705412864686 -aI261 -aa(lp16 -F42.29065947899958 -aF-83.7178158760071 -aI258 -aasS'BBB' -p17 -(lp18 -(lp19 -F42.292667396114446 -aF-83.71626019477846 -aI264 -aa(lp20 -F42.2933737232794 -aF-83.71622264385225 -aI271 -aas. \ No newline at end of file diff --git a/src/semantic/pickles/BuildingMappings.txt b/src/semantic/pickles/BuildingMappings.txt deleted file mode 100644 index f5ca3fa..0000000 --- a/src/semantic/pickles/BuildingMappings.txt +++ /dev/null @@ -1,5 +0,0 @@ -EECS -Duderstadt -Pierpont -BBB -FXB diff --git a/src/semantic/pickles/pickleManage.py b/src/semantic/pickles/pickleManage.py deleted file mode 100644 index 17f0a6f..0000000 --- a/src/semantic/pickles/pickleManage.py +++ /dev/null @@ -1,30 +0,0 @@ -import pickle - -# file to print current pickle files to text file -# this allows us to monitor current dictionaries -def printPickle(filename): - pickle_in = open(filename + '.pkl',"rb") - currDict = pickle.load(pickle_in) - f = open(filename + '.txt',"w") - for x in currDict: - f.write('%s\n' % x ) - f.close() - -# update pickle files to update dictionaries -# example: grades = {'Bart', 'Lisa', 'Milhouse', 'Nelson'} -def createPickle(filename, pklList): - f = open(filename + '.pkl', 'wb') # Pickle file is newly created where foo1.py is - pickle.dump(pklList, f) # dump data to f - f.close() - -def updatePickle(filename, pklList): - pickle_in = open(filename + '.pkl',"rb") - currDict = pickle.load(pickle_in) - f = open(filename + '.pkl', 'wb') # Pickle file is newly created where foo1.py is - pickle.dump(currDict + pklList, f) # dump data to f - f.close() - -# Example usage -# createPickle('test', {'Bart', 'Lisa', 'Milhouse', 'Nelson'}) -# updatePickle('test', {'Theo'}) -# printPickle("test") From 62b95429601e525fb25b65bc1edac42811d17860 Mon Sep 17 00:00:00 2001 From: snbenge Date: Tue, 21 Apr 2020 22:46:12 -0400 Subject: [PATCH 13/25] I am continuing to fix things I commited to the wrong branch --- .../project_vel_to_cam.py | 0 .../read_gps.py | 0 .../read_ground_truth.py | 0 .../read_hokuyo_30m.py | 0 .../read_hokuyo_4m.py | 0 .../read_ms25.py | 0 .../read_ms25_euler.py | 0 .../read_odom.py | 0 .../undistort.py | 0 .../__pycache__/pickleManage.cpython-35.pyc | Bin 968 -> 0 bytes .../__pycache__/pickleManage.cpython-38.pyc | Bin 834 -> 0 bytes 11 files changed, 0 insertions(+), 0 deletions(-) rename src/dataset/{ManageNCLTDataset => ManageDataset}/project_vel_to_cam.py (100%) rename src/dataset/{ManageNCLTDataset => ManageDataset}/read_gps.py (100%) rename src/dataset/{ManageNCLTDataset => ManageDataset}/read_ground_truth.py (100%) rename src/dataset/{ManageNCLTDataset => ManageDataset}/read_hokuyo_30m.py (100%) rename src/dataset/{ManageNCLTDataset => ManageDataset}/read_hokuyo_4m.py (100%) rename src/dataset/{ManageNCLTDataset => ManageDataset}/read_ms25.py (100%) rename src/dataset/{ManageNCLTDataset => ManageDataset}/read_ms25_euler.py (100%) rename src/dataset/{ManageNCLTDataset => ManageDataset}/read_odom.py (100%) rename src/dataset/{ManageNCLTDataset => ManageDataset}/undistort.py (100%) delete mode 100644 src/semantic/__pycache__/pickleManage.cpython-35.pyc delete mode 100644 src/semantic/__pycache__/pickleManage.cpython-38.pyc diff --git a/src/dataset/ManageNCLTDataset/project_vel_to_cam.py b/src/dataset/ManageDataset/project_vel_to_cam.py similarity index 100% rename from src/dataset/ManageNCLTDataset/project_vel_to_cam.py rename to src/dataset/ManageDataset/project_vel_to_cam.py diff --git a/src/dataset/ManageNCLTDataset/read_gps.py b/src/dataset/ManageDataset/read_gps.py similarity index 100% rename from src/dataset/ManageNCLTDataset/read_gps.py rename to src/dataset/ManageDataset/read_gps.py diff --git a/src/dataset/ManageNCLTDataset/read_ground_truth.py b/src/dataset/ManageDataset/read_ground_truth.py similarity index 100% rename from src/dataset/ManageNCLTDataset/read_ground_truth.py rename to src/dataset/ManageDataset/read_ground_truth.py diff --git a/src/dataset/ManageNCLTDataset/read_hokuyo_30m.py b/src/dataset/ManageDataset/read_hokuyo_30m.py similarity index 100% rename from src/dataset/ManageNCLTDataset/read_hokuyo_30m.py rename to src/dataset/ManageDataset/read_hokuyo_30m.py diff --git a/src/dataset/ManageNCLTDataset/read_hokuyo_4m.py b/src/dataset/ManageDataset/read_hokuyo_4m.py similarity index 100% rename from src/dataset/ManageNCLTDataset/read_hokuyo_4m.py rename to src/dataset/ManageDataset/read_hokuyo_4m.py diff --git a/src/dataset/ManageNCLTDataset/read_ms25.py b/src/dataset/ManageDataset/read_ms25.py similarity index 100% rename from src/dataset/ManageNCLTDataset/read_ms25.py rename to src/dataset/ManageDataset/read_ms25.py diff --git a/src/dataset/ManageNCLTDataset/read_ms25_euler.py b/src/dataset/ManageDataset/read_ms25_euler.py similarity index 100% rename from src/dataset/ManageNCLTDataset/read_ms25_euler.py rename to src/dataset/ManageDataset/read_ms25_euler.py diff --git a/src/dataset/ManageNCLTDataset/read_odom.py b/src/dataset/ManageDataset/read_odom.py similarity index 100% rename from src/dataset/ManageNCLTDataset/read_odom.py rename to src/dataset/ManageDataset/read_odom.py diff --git a/src/dataset/ManageNCLTDataset/undistort.py b/src/dataset/ManageDataset/undistort.py similarity index 100% rename from src/dataset/ManageNCLTDataset/undistort.py rename to src/dataset/ManageDataset/undistort.py diff --git a/src/semantic/__pycache__/pickleManage.cpython-35.pyc b/src/semantic/__pycache__/pickleManage.cpython-35.pyc deleted file mode 100644 index b62e1c2e0bffe79ad056341c8eadf71ba4b599e1..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 968 zcmZ`&O>fgc5S_KxNt!0K(2pEBamb;yI8z}YITVyel>(}S1jw9$YwS_moyU3fGXTxH>{GJI;`bk6W;_K@Ztb>FpUA!+W@h0nC+lJ=Rx=Oa4fO=J@Z zNEx&%{VRD`j56!#Ay7Fht+>4MADMbPure>y#8!$l9%ahPERPZ!TybtNb*5aww-84qAb1P=wN#BE_n-}4ye5^tf4Rtz+!mcu-GB3h6Coen4 z2mMa(^}(R`{4_K=4viW|lQNCNWzmyp5`9#M#TUC-;J@Xmqr{$>1_Fs4v4zZ@uf^@Qc zZUQt+3oYQJ$vPgRMK5SL1Twrdxyy4ftV8>Ljv39dXs zrR3OG@|6>>&=WJ>5>ly_=GUX~eBb!vV9*nEe(B54`&x+K9Bdv*!E2KGDJdfi6yjJI zY1B_~3`U!XtTY|dC94d45J~)pD#bVhHa90C%kq|_J|xu$N4=gRH`O zBCn^FEq$lTv$Mi_T})HsqdDe{^-)$#YfClpX)I(=O>9qehfPtYcrcvxJ7QFkaz35M9xuO zH#p!ThS91WzU*gc)5f+V^Igqdc;r6dWAbhd%g?NbeM7+=!%EttTIUt*Q4x*00|#)Vw)8cd^fOJW!AvBz78M#W*4-HJ<1Vt i3^!~gpbgm#jsjbOsQBe%YG#Ff#s4~x6zjMbM}GnMsGh Date: Tue, 21 Apr 2020 22:54:35 -0400 Subject: [PATCH 14/25] cleaning up files from other project --- src/dataset/dataManipulation/GPSmanip.py | 24 ------------------------ 1 file changed, 24 deletions(-) delete mode 100644 src/dataset/dataManipulation/GPSmanip.py diff --git a/src/dataset/dataManipulation/GPSmanip.py b/src/dataset/dataManipulation/GPSmanip.py deleted file mode 100644 index 7ee0f2f..0000000 --- a/src/dataset/dataManipulation/GPSmanip.py +++ /dev/null @@ -1,24 +0,0 @@ -import sys -import numpy as np - - -def gpstoLocalFrame(lat, lng, alt): - lat0 = 0.7381566413 - lng0 = -1.4610097151 - alt0 = 265.8 - - print(np.deg2rad(lng)) - dLat = np.deg2rad(lat) - lat0 - print(dLat) - dLng = np.deg2rad(lng) - lng0 - dAlt = alt - alt0 - - r = 6400000 # approx. radius of earth (m) - y = r * np.cos(lat0) * np.sin(dLng) - x = r * np.sin(dLat) - z = dAlt - - return [x,y,z] -#Example -# x = gpstoLocalFrame(42.29360387311647,-83.71222615242006,272) -# print(x) From 2c50f9f35a153947a761f5abd8b072d597c9b3df Mon Sep 17 00:00:00 2001 From: snbenge Date: Wed, 22 Apr 2020 13:00:30 -0400 Subject: [PATCH 15/25] tweaked buildings model for improved performance and added flags to chabot to allow for emergency stop, completion notification, and start nav flags to be sent to main (sending to main functionality 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json.loads(open('intents/buildingIntents.json').read()) building_words = pickle.load(open('pickles/building_words.pkl','rb')) buildings = pickle.load(open('pickles/buildings.pkl','rb')) confirmation = 0 +startNav = 0 #TODO: START CONVERSION TO GPS COORDINATES +completedNav = 0 #TODO: Add response once complete +emergencyExit = 0 #TODO: OPTIONAL STOP EVERYTHING def clean_up_sentence(sentence): # tokenize the pattern - splitting words into array @@ -116,14 +119,19 @@ def send(): ints = predict_class(msg) global confirmation - if (ints[0]['intent'] == "yes" or ints[0]['intent'] == "no") and confirmation == 1: + global startNav + global emergencyExit + # adds rule based chatbot to confirm navigation + if (ints[0]['intent'] == "yes" or ints[0]['intent'] == "no") and confirmation == 1 and startNav == 0: + emergencyExit = 0 if ints[0]['intent'] == "yes": res = "Starting navigation. Please wait for process to complete. This may take a couple minutes." + startNav = 1 elif ints[0]['intent'] == "no": res = "Cancelled operation" confirmation = 0 - #TODO: START CONVERSION TO GPS COORDINATES - elif ints[0]['intent'] == "navigation": + elif ints[0]['intent'] == "navigation" and startNav == 0: + emergencyExit = 0 currbuilding = getBuildingInfo(msgClean) if currbuilding[0] == 'random location': currbuilding[0] = buildings[random.randint(0, len(buildings)-1)] @@ -135,12 +143,17 @@ def send(): currbuilding[1] = buildings[random.randint(0, len(buildings)-1)] fromBuild = predict_building(currbuilding[0]) toBuild = predict_building(currbuilding[1]) - res = "You chose navigating to " + toBuild[0]['buildingIntents'] + " building from " + fromBuild[0]['buildingIntents'] + " builing. Is this correct?" + res = "You chose navigating to " + toBuild[0]['buildingIntents'] + " building from " + fromBuild[0]['buildingIntents'] + " building. Is this correct?" confirmation = 1 elif ints[0]['intent'] == "exit": res = getResponse(ints, intents) - #TODO: OPTIONAL STOP EVERYTHING + startNav = 0 + emergencyExit = 1 + elif startNav == 1: + emergencyExit = 0 + res = "Please wait while the navigation is processing" else: + emergencyExit = 0 res = getResponse(ints, intents) ChatBox.insert(END, "Belatrix: " + res + '\n\n') From f3849d9b0360d2f2d4defeeae032ab75ff832a6f Mon Sep 17 00:00:00 2001 From: snbenge Date: Fri, 24 Apr 2020 23:18:11 -0400 Subject: [PATCH 16/25] cleaning up code --- src/semantic/gui_chatbot.py | 2 ++ 1 file changed, 2 insertions(+) diff --git a/src/semantic/gui_chatbot.py b/src/semantic/gui_chatbot.py index ebc8923..bb9aca6 100644 --- a/src/semantic/gui_chatbot.py +++ b/src/semantic/gui_chatbot.py @@ -1,4 +1,5 @@ # from python example and tutorial here: https://data-flair.training/blogs/python-chatbot-project/ +# also utilizes examples from spacy website import nltk from nltk.stem import WordNetLemmatizer @@ -9,6 +10,7 @@ import spacy import tkinter from tkinter import * + from keras.models import load_model model = load_model('chatbot_model.h5') modelBuilding = load_model('buildings_model.h5') From 38a4de6ce3eae2d22c57bfdc9f33df856a56f62b Mon Sep 17 00:00:00 2001 From: Sabrina Date: Tue, 28 Apr 2020 23:17:28 -0400 Subject: [PATCH 17/25] Update home.md --- docs/home.md | 24 ++++++++++++++++++++++++ 1 file changed, 24 insertions(+) diff --git a/docs/home.md b/docs/home.md index 41b7fea..4eca1f6 100644 --- a/docs/home.md +++ b/docs/home.md @@ -36,6 +36,14 @@ - [Scipy](https://www.scipy.org/) - [Matplotlib](https://matplotlib.org/) - [Natural Language Toolkit](https://www.nltk.org/) +- [Cpython](https://pypi.org/project/cPython/) +- [NLTK](https://pypi.org/project/nltk/) +- [Setup Tools](https://pypi.org/project/setuptools/) +- [Pylint](https://pypi.org/project/pylint/) +- [Spacy](https://pypi.org/project/spacy/) +- [Pickle](https://pypi.org/project/pickle-mixin/) +- [TensorFlow](https://pypi.org/project/tensorflow/) +- [Keras](https://pypi.org/project/Keras/) ## Docker @@ -49,3 +57,19 @@ After cloning the repo, start your docker machine and following commands shown b 1. `cd /PATH/TO/UMICH_NCLT_SLAP/src` 2. `docker-compose run --rm python-dev` + +### Semantic Language Parsing: Chatbot + +For standalone testing of the chatbot, run the following commands + +1. `cd /PATH/TO/UMICH_NCLT_SLAP/src/semantic` +2. `python gui_chatbot.py` + +You can update the models by changing the intent or pickle files. Intent.json can be changed wiht a basic text editor and pickles can be read and changed using pickleManage.py. +1. `cd /PATH/TO/UMICH_NCLT_SLAP/src/datset/dataManipulation/pickles` +2. `python` +3. `from pickleManage import *` +4. Use desired functions. Functions are documented with examples in pickleManage.py file. +To update the models are making changes run: +'python + From 04ee8131e0a36969b53100efe0a7dca1c39ea094 Mon Sep 17 00:00:00 2001 From: Sabrina Benge Date: Wed, 29 Apr 2020 19:22:08 -0400 Subject: [PATCH 18/25] perserving docker file --- src/Dockerfile | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/src/Dockerfile b/src/Dockerfile index 5feac02..f35ef56 100644 --- a/src/Dockerfile +++ b/src/Dockerfile @@ -16,8 +16,8 @@ RUN pip install -U pip && \ nltk \ setuptools \ pylint \ - spacy \ pickle-mixin \ + spacy \ --upgrade setuptools \ --no-cache-dir tensorflow \ keras From 74e9bc5b02beae41620c84e0bce308e516c6edd4 Mon Sep 17 00:00:00 2001 From: Sabrina Benge Date: Wed, 29 Apr 2020 19:24:35 -0400 Subject: [PATCH 19/25] forgot to hit save before commit --- src/Dockerfile | 3 --- 1 file changed, 3 deletions(-) diff --git a/src/Dockerfile b/src/Dockerfile index d34dfad..f129342 100644 --- a/src/Dockerfile +++ b/src/Dockerfile @@ -16,7 +16,6 @@ RUN pip install -U pip && \ nltk \ setuptools \ pylint \ -<<<<<<< HEAD pickle-mixin \ spacy \ --upgrade setuptools \ @@ -24,8 +23,6 @@ RUN pip install -U pip && \ keras RUN python -m spacy download en_core_web_sm -======= pickle-mixin ->>>>>>> origin/master CMD ["/bin/bash"] From 4073e2f864ebb94ded48e860285f8bb8285c7da6 Mon Sep 17 00:00:00 2001 From: Sabrina Benge Date: Thu, 30 Apr 2020 16:10:59 -0400 Subject: [PATCH 20/25] moving docker files into approriate container --- .../__pycache__/findBuildingCoord.cpython-36.pyc | Bin 0 -> 1533 bytes src/{ => semantic}/.env | 0 src/{ => semantic}/Dockerfile | 0 .../docker-compose_semantic.yml} | 0 src/{ => semantic}/docker-compose_ubuntu | 0 5 files changed, 0 insertions(+), 0 deletions(-) create mode 100644 src/dataset/dataManipulation/__pycache__/findBuildingCoord.cpython-36.pyc rename src/{ => semantic}/.env (100%) rename src/{ => semantic}/Dockerfile (100%) rename src/{docker-compose.yml => semantic/docker-compose_semantic.yml} (100%) rename src/{ => semantic}/docker-compose_ubuntu (100%) diff --git a/src/dataset/dataManipulation/__pycache__/findBuildingCoord.cpython-36.pyc b/src/dataset/dataManipulation/__pycache__/findBuildingCoord.cpython-36.pyc new file mode 100644 index 0000000000000000000000000000000000000000..41eef34c56a336e208082ba4db85c3889583648d GIT binary patch literal 1533 zcmaJ>&5qne5bi(EcxGpo{AUx;9&(!lyV*gCKw2e%UEq-HDAFE~Eb-&GjpH4U?X*48 zOw>MY9)JfxoB=5pZk%`lc!55`0qun=Qcir`GY(6n(5MMhQt0}^v5rb zHVFBHoEr@CeXQybL=s6e60A54nA`J!J1zntndHw&;7K7p@Q&=rE_he^vIp)B4Fjj(T+-D{L?dddnWQ(6#|^TU7$o?tbt?(FQ=x^V z`{a!$;NzljX{GiATc2pHthK)J8~lGxv{C;14S^HvglmE7Jncz3W#3Tcuj*NSCt=3~ z7UnFsURe-tZQ;(c4-0hX&b0frrzAk!n<&6a&K$9@pK*|pFvG|5G?Qtb)WxTdj?Kj= z%%XV~*70Fl)nOjRhUKN{gesY(`KS~0TK~O&#c?2#vf6WWZ0N#xX)fc%4@9Ar$jjS1 zJG(Nh!z!*FKMM1-wBJaJeD`a(ezZ>EpeU5wDVOH5)gEL;6<77gd97?7R}re(1|ig^ zJ{!>SdiH6bUT7CnLwH2COgjXYEz~vE`w(hexMZiSp*1~WuDRG^TeCy*`L%{?uE~_C zo7!Ft8t|Arz4;lD8~}>Rvv%wMK?;74<%4%4VMUYUha>|k4w0diIz$h%mT-4T>(r%yMjvqZK) zJ8b2zihY8Ov@geNgyfA^lM`x7(tL|F9k;{F(gM4#X4(VyrD%G(2OHD;lwJW?fT3%p zrtkDzcie76`^`Xa=)N8#7M#u``RT=-7cam2^IkIj{rb-jzWV!K^4qT%-sz89OZMR(8E} z3xWfUX|e@iFXO>!x{|KjUlo2e0D?`Fy@3%kViwj Date: Thu, 30 Apr 2020 16:14:26 -0400 Subject: [PATCH 21/25] moved docker files and added instructions --- docs/home.md | 4 +++- .../{docker-compose_semantic.yml => docker-compose.yml} | 0 2 files changed, 3 insertions(+), 1 deletion(-) rename src/semantic/{docker-compose_semantic.yml => docker-compose.yml} (100%) diff --git a/docs/home.md b/docs/home.md index 4eca1f6..2872d8e 100644 --- a/docs/home.md +++ b/docs/home.md @@ -62,7 +62,9 @@ After cloning the repo, start your docker machine and following commands shown b For standalone testing of the chatbot, run the following commands -1. `cd /PATH/TO/UMICH_NCLT_SLAP/src/semantic` +1. `cd /PATH/TO/UMICH_NCLT_SLAP/semantic/src` +2. `docker-compose run --rm python-dev` +1. `cd app/semantic` 2. `python gui_chatbot.py` You can update the models by changing the intent or pickle files. Intent.json can be changed wiht a basic text editor and pickles can be read and changed using pickleManage.py. diff --git a/src/semantic/docker-compose_semantic.yml b/src/semantic/docker-compose.yml similarity index 100% rename from src/semantic/docker-compose_semantic.yml rename to src/semantic/docker-compose.yml From 10f1406871bf853a0a12c80bec46bdded940214d Mon Sep 17 00:00:00 2001 From: Yushu Zhang Date: Thu, 30 Apr 2020 19:31:23 -0400 Subject: [PATCH 22/25] control part --- Astar.py | 104 +++++++++++++++++++++++++++++++++ mpc_along_trajectory.py | 51 ++++++++++++++++ mpc_func.py | 126 ++++++++++++++++++++++++++++++++++++++++ one_round_demo.py | 55 ++++++++++++++++++ requirement.txt | 9 +++ 5 files changed, 345 insertions(+) create mode 100644 Astar.py create mode 100644 mpc_along_trajectory.py create mode 100644 mpc_func.py create mode 100644 one_round_demo.py create mode 100644 requirement.txt diff --git a/Astar.py b/Astar.py new file mode 100644 index 0000000..973e393 --- /dev/null +++ b/Astar.py @@ -0,0 +1,104 @@ +import sys +import matplotlib.pyplot as plt +import numpy as np +import scipy.interpolate +import math +import random +import time +import heapq # https://docs.python.org/3/library/heapq.html + + +def load_poses(pose_gt_file) : + pose_gt = np.loadtxt(pose_gt_file, delimiter = ",") + + return pose_gt + + +def plot_position(pose_gt): + # NED (North, East, Down) + x = pose_gt[:, 1] + y = pose_gt[:, 2] + z = pose_gt[:, 3] + + plt.figure() + plt.scatter(y, x, 1, c=-z, linewidth=2) # Note Z points down + plt.axis('equal') + plt.title('Ground Truth Position of Nodes in SLAM Graph') + plt.xlabel('East (m)') + plt.ylabel('North (m)') + plt.colorbar() + + plt.show() + + return + + +class PriorityQueue: + def __init__(self): + self.elements = [] + + def empty(self): + return len(self.elements) == 0 + + def put(self, item, priority): + heapq.heappush(self.elements, (priority, item)) + + def get(self): + return heapq.heappop(self.elements)[1] + + +def find_path(cur_node, parent_idx, start_idx): + next_idx = cur_node + path = [next_idx] + + while next_idx != start_idx: + next_idx = parent_idx[next_idx] + path.append(next_idx) + + return path[::-1] + + +def Astar(start_idx, goal_idx, poses, k=20): + visit_queue = PriorityQueue() + visited_flag, queueed_flag = np.zeros(poses.shape[0]), np.zeros(poses.shape[0]) + g_score, h_score = np.full(poses.shape[0], np.inf), np.full(poses.shape[0], np.inf) + parent_idx = np.zeros(poses.shape[0], dtype='int') + + test_tree = scipy.spatial.KDTree(poses) + + # initialize + goal = poses[goal_idx] + g_score[start_idx] = 0 + visit_queue.put(start_idx, np.inf) + queueed_flag[start_idx] = 1 + + while not visit_queue.empty(): + cur_node = visit_queue.get() + visited_flag[cur_node] = 1 + + if cur_node == goal_idx: + print('find optimal path from {} to {}'.format(start_idx, goal_idx)) + break + + # find neighbours + neighbors = test_tree.query(poses[cur_node], k=k) + + for nb_cur_dist, nb_idx in zip(neighbors[0][1:], neighbors[1][1:]): + if visited_flag[nb_idx] == 1: + continue + + temp_dist = g_score[cur_node] + np.linalg.norm(poses[cur_node] - poses[nb_idx]) + # temp_dist = g_score[cur_node] + nb_cur_dist ## this not work + if g_score[nb_idx] > temp_dist: + g_score[nb_idx] = temp_dist + parent_idx[nb_idx] = cur_node + f_score = g_score[nb_idx] + np.linalg.norm(poses[nb_idx] - goal) + + # put into queen + if queueed_flag[nb_idx] == 0: + visit_queue.put(nb_idx, f_score) + queueed_flag[nb_idx] = 1 + + if cur_node != goal_idx: + print('find closest path from {} to {}'.format(start_idx, cur_node)) + return cur_node, parent_idx \ No newline at end of file diff --git a/mpc_along_trajectory.py b/mpc_along_trajectory.py new file mode 100644 index 0000000..d319779 --- /dev/null +++ b/mpc_along_trajectory.py @@ -0,0 +1,51 @@ +from mpc_func import * +from Astar import * + +poses = load_poses('pose_gt.csv') +sparseness = 100 +print(poses.shape[0]/sparseness) +# plot_position(poses[1::sparseness]) +sparse_poses = poses[1::sparseness, 1:3] + +start_idx = np.random.randint(sparse_poses.shape[0]) +goal_idx = np.random.randint(sparse_poses.shape[0]) + +# start_idx = 148 +# goal_idx = 6976 +# start_time = time.time() +cur_node, parent_idx = Astar(start_idx, goal_idx, sparse_poses, k=20) +path = find_path(cur_node, parent_idx, start_idx) +# print(time.time() - start_time) +print(start_idx, goal_idx) +print(path) +# print(len(path)) +# print(total_dist(path)) + +plt.figure(figsize=(10,10)) +plt.scatter(sparse_poses[:,0], sparse_poses[:,1], s=8) +plt.scatter(sparse_poses[path,0], sparse_poses[path,1], c='y', s=80) +plt.scatter(sparse_poses[start_idx,0], sparse_poses[start_idx,1], marker='o', c='g', s=200, label='start') +plt.scatter(sparse_poses[goal_idx,0], sparse_poses[goal_idx,1], marker='*', c='r', s=200, label='goal') +plt.legend() +plt.show() + + +# along trajectory +path_poses = sparse_poses[path, :] + +dt = 1 # [s] discrete time +lr = 1.0 # [m] +T = 6 # number of horizon +max_speed = 5 +min_speed = -5 + +speed_now = 1 +theta = -1.5 + +for interval in range(len(path)//T): + short_path_poses = path_poses[interval*T:(interval+1)*T,:] + u, next_x, xstar, ustar = path_poses_to_input(path_poses, speed_now, theta, + dt, lr, T, max_speed, min_speed) + speed_now = xstar.value[2,-1] + theta = xstar.value[3,-1] + print(ustar.value) \ No newline at end of file diff --git a/mpc_func.py b/mpc_func.py new file mode 100644 index 0000000..644a953 --- /dev/null +++ b/mpc_func.py @@ -0,0 +1,126 @@ +import cvxpy +import numpy as np +from cvxpy import * +import matplotlib.pyplot as plt +from math import * +import time + + +def LinearizeCarModel(xb, u, dt, lr): + x = xb[0] + y = xb[1] + v = xb[2] + theta = xb[3] + + a = u[0] + beta = u[1] + + t1 = -dt * v * sin(theta + beta) + t2 = dt * v * cos(theta + beta) + + A = np.eye(xb.shape[0]) + A[0, 2] = dt * cos(theta + beta) + A[1, 2] = dt * sin(theta + beta) + A[3, 2] = dt * sin(beta) / lr + #A[0, 3] = t1 + #A[1, 3] = t2 + + B = np.zeros((xb.shape[0], u.shape[0])) + B[2, 0] = dt + B[0, 1] = t1 + B[1, 1] = t2 + B[3, 1] = dt * v * cos(beta) / lr + + tm = np.zeros((4, 1)) + tm[0, 0] = v * cos(theta + beta) * dt + tm[1, 0] = v * sin(theta + beta) * dt + tm[2, 0] = a * dt + tm[3, 0] = v / lr * sin(beta) * dt + C = xb + tm + C = C - A @ xb - B @ u + + # print(A, B, C) + + return A, B, C + + +def NonlinearModel(x, u, dt, lr): + print(x.value) + x[0] = x[0] + x[2] * cos(x[3] + u[1]) * dt + x[1] = x[1] + x[2] * sin(x[3] + u[1]) * dt + x[2] = x[2] + u[0] * dt + x[3] = x[3] + x[2] / lr * sin(u[1]) * dt + + return x + + +def CalcInput(A, B, C, x, u, T, max_speed, min_speed, path_poses): + + x_0 = x[:] + x = Variable((x.shape[0], T + 1)) + u = Variable((u.shape[0], T)) + + # MPC controller + states = [] + constr = [x[:, 0] == (x_0.T)[0]]#, x[2, T] == 0.0] + for t in range(1,T): + #pdb.set_trace() + + constr += [x[:, t + 1] == A * x[:, t] + B * u[:, t] +(C.T)[0]] + constr += [abs(u[:, t]) <= 5] + constr += [x[2, t + 1] <= max_speed] + constr += [x[2, t + 1] >= min_speed] + # cost = sum_squares(u[:,t]) + cost = sum_squares(abs(x[0, t] - path_poses[t][0])) * 1 * (10-2*t) + cost += sum_squares(abs(x[1, t] - path_poses[t][1])) * 1 * (10-2*t) + cost += sum_squares(abs(u[1, t])) * 10 * (t+1) + if t == T - 1: + cost += (x[0, t + 1] - path_poses[t][0]) ** 2 * 100.0 + cost += (x[1, t + 1] - path_poses[t][1]) ** 2 * 100.0 + + states.append(Problem(Minimize(cost), constr)) + + prob = sum(states) + #pdb.set_trace() + #prob.constraints += [x[:, 0] == (x_0.T)[0]]#, x[2, T] == 0.0] + + start = time.time() + # result=prob.solve(verbose=True) + result = prob.solve() + elapsed_time = time.time() - start + # print("calc time:{0}".format(elapsed_time) + "[sec]") + # print(prob.value) + + if prob.status != OPTIMAL: + print("Cannot calc opt") + + # print(prob.status) + return u, x, prob.value + + +def GetListFromMatrix(x): + return np.array(x).flatten().tolist() + + +def path_poses_to_input(path_poses, speed_now, theta, dt, lr, T, max_speed, min_speed): + x0 = np.array([[path_poses[0][0], path_poses[0][1], speed_now, theta]]).T # [x,y,v theta] + u = np.array([[0.0, 0.0]]).T # [a,beta] + + x = x0 + + A, B, C = LinearizeCarModel(x, u, dt, lr) + ustar, xstar, cost = CalcInput(A, B, C, x, u, T, max_speed, min_speed, path_poses) + + u[0, 0] = GetListFromMatrix(ustar.value[0, :])[0] + u[1, 0] = float(ustar[1, 0].value) + + x = A @ x + B @ u + + return u, x, xstar, ustar + + +def load_poses(pose_gt_file) : + pose_gt = np.loadtxt(pose_gt_file, delimiter = ",") + + return pose_gt + diff --git a/one_round_demo.py b/one_round_demo.py new file mode 100644 index 0000000..acea9ac --- /dev/null +++ b/one_round_demo.py @@ -0,0 +1,55 @@ +from mpc_func import * + +poses = load_poses('pose_gt.csv') +sparseness = 100 +sparse_poses = poses[1::sparseness, 1:3] + +path = [148, 150, 151, 153, 154, 156, 158, 160, 162, 163] + + +dt = 1 # [s] discrete time +lr = 1.0 # [m] +T = 6 # number of horizon +max_speed = 5 +min_speed = -5 + +speed_now = 1 +theta = -1.5 + +path_poses = sparse_poses[path[:T+1], :] +u, next_x, xstar, ustar = path_poses_to_input(path_poses, speed_now, theta, + dt, lr, T, max_speed, min_speed) + + +# plot the result +plt.figure(figsize=(10,10)) +plt.subplot(3, 1, 1) +plt.plot(path_poses[0][0], path_poses[0][1], 'xb', label='current pose') +plt.plot(next_x[0], next_x[1], 'xr', label='next pose given current control output') +plt.plot(GetListFromMatrix(xstar.value[0, :]), GetListFromMatrix( + xstar.value[1, :]), '-.', label='estimated trajectory given control outputs') +plt.plot(path_poses[:T,0], path_poses[:T,1], label='reference trajectory') +plt.axis("equal") +plt.xlabel("x[m]") +plt.ylabel("y[m]") +plt.legend() +plt.grid(True) + +plt.subplot(3, 1, 2) +plt.cla() +plt.plot(GetListFromMatrix(xstar.value[2, :]), '-b',label='linear velocity') +plt.plot(GetListFromMatrix(xstar.value[3, :]), '-r',label='pose angle') +#plt.ylim([-1.0, 1.0]) +plt.ylabel("velocity[m/s]") +plt.xlabel("horizon") +plt.legend() +plt.grid(True) + +plt.subplot(3, 1, 3) +plt.cla() +plt.plot(GetListFromMatrix(ustar.value[0, :]), '-r', label="acceleration") +plt.plot(GetListFromMatrix(ustar.value[1, :]), '-b', label="beta") +#plt.ylim([-0.5, 0.5]) +plt.legend() +plt.grid(True) +plt.show() diff --git a/requirement.txt b/requirement.txt new file mode 100644 index 0000000..47fba99 --- /dev/null +++ b/requirement.txt @@ -0,0 +1,9 @@ +sys +matplotlib +numpy +scipy +math +random +time +cvxpy +heapq \ No newline at end of file From 26e641a477075984ff970a0338b9ba4a739d47fa Mon Sep 17 00:00:00 2001 From: dbrisbin Date: Thu, 30 Apr 2020 19:42:26 -0400 Subject: [PATCH 23/25] planning functions notebook --- src/planning/Motion_Planning_Functions.ipynb | 611 +++++++++++++++++++ 1 file changed, 611 insertions(+) create mode 100644 src/planning/Motion_Planning_Functions.ipynb diff --git a/src/planning/Motion_Planning_Functions.ipynb b/src/planning/Motion_Planning_Functions.ipynb new file mode 100644 index 0000000..241a274 --- /dev/null +++ b/src/planning/Motion_Planning_Functions.ipynb @@ -0,0 +1,611 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "name": "Motion_Planning_Functions", + "provenance": [], + "collapsed_sections": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "accelerator": "GPU" + }, + "cells": [ + { + "cell_type": "code", + "metadata": { + "id": "NoNMujanjNuu", + "colab_type": "code", + "colab": {} + }, + "source": [ + "#Given a map consisting of known poses and a start and end pose, find the optimal path between using A*\n", + "#Generate the relative motion in se2 between poses.\n", + "#This is straight line motion.\n", + "#Also implements cubic interpolation for a smooth trajectory across all points in path." + ], + "execution_count": 0, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "id": "VqXKrUKwt05L", + "colab_type": "code", + "colab": {} + }, + "source": [ + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "import random\n", + "import scipy.interpolate\n", + "import heapq #https://docs.python.org/3/library/heapq.html" + ], + "execution_count": 0, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "id": "VMJWsOvIvGeJ", + "colab_type": "code", + "colab": {} + }, + "source": [ + "#Loading poses from the ground truth file\n", + "def load_poses(pose_gt_file) :\n", + " pose_gt = np.loadtxt(pose_gt_file, delimiter = \",\")\n", + " return pose_gt[1:, 1:3]\n", + "\n", + "poses = load_poses('../dataset/ground_truth/groundtruth_2012-01-08.csv')" + ], + "execution_count": 0, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "id": "jQQn9T3U4yA2", + "colab_type": "code", + "colab": {} + }, + "source": [ + "#Astar and path functions\n", + "class PriorityQueue:\n", + " def __init__(self):\n", + " self.elements = []\n", + " \n", + " def empty(self):\n", + " return len(self.elements) == 0\n", + " \n", + " def put(self, item, priority):\n", + " heapq.heappush(self.elements, (priority, item))\n", + " \n", + " def get(self):\n", + " return heapq.heappop(self.elements)[1]\n", + "\n", + "class Astar :\n", + " # This class implements A* search along a network defined by several points\n", + " # Poses is an array of coordinates\n", + " # k defines how many nearest neighbors to look at during A* search\n", + " # The primary usage of this class is the find_path function:\n", + " # Required parameters:\n", + " # start_idx: \n", + " # goal_idx \n", + "\n", + " def __init__(self, poses) :\n", + " self.poses = poses\n", + " self.full_tree = scipy.spatial.KDTree(self.poses)\n", + "\n", + " def _extract_path(self, cur_node, parent_idx, start_idx, sparse_poses):\n", + " next_idx = cur_node\n", + " path = [self.full_tree.query(sparse_poses[next_idx])[1]]\n", + "\n", + " while next_idx != start_idx:\n", + " next_idx = parent_idx[next_idx]\n", + " path.append(self.full_tree.query(sparse_poses[next_idx])[1])\n", + " \n", + " return path[::-1]\n", + "\n", + " def find_path(self, full_start_idx, full_goal_idx, sparseness=1, k=5):\n", + " sparse_poses = poses[0::sparseness, :]\n", + " \n", + " visit_queue = PriorityQueue()\n", + " visited_flag, queueed_flag = np.zeros(sparse_poses.shape[0]), np.zeros(sparse_poses.shape[0])\n", + " g_score, h_score = np.full(sparse_poses.shape[0], np.inf), np.full(sparse_poses.shape[0], np.inf)\n", + " parent_idx = np.zeros(sparse_poses.shape[0], dtype='int')\n", + "\n", + " sparse_tree = scipy.spatial.KDTree(sparse_poses)\n", + "\n", + " start_idx = sparse_tree.query(poses[full_start_idx])[1]\n", + " goal_idx = sparse_tree.query(poses[full_goal_idx])[1]\n", + " \n", + " # initialize\n", + " goal = sparse_poses[goal_idx]\n", + "\n", + " g_score[start_idx] = 0\n", + " visit_queue.put(start_idx, np.inf)\n", + " queueed_flag[start_idx] = 1\n", + " optimal = False\n", + "\n", + " while not visit_queue.empty():\n", + " cur_node = visit_queue.get()\n", + " visited_flag[cur_node] = 1\n", + "\n", + " if cur_node == goal_idx:\n", + " optimal = True\n", + " break\n", + "\n", + " # find neighbours\n", + " neighbors = sparse_tree.query(sparse_poses[cur_node], k=k)\n", + "\n", + " for nb_cur_dist, nb_idx in zip(neighbors[0][1:], neighbors[1][1:]):\n", + " if visited_flag[nb_idx] == 1:\n", + " continue\n", + "\n", + " temp_dist = g_score[cur_node] + np.linalg.norm(sparse_poses[cur_node] - sparse_poses[nb_idx])\n", + " # temp_dist = g_score[cur_node] + nb_cur_dist ## this not work\n", + " if g_score[nb_idx] > temp_dist:\n", + " g_score[nb_idx] = temp_dist\n", + " parent_idx[nb_idx] = cur_node\n", + " f_score = g_score[nb_idx] + np.linalg.norm(sparse_poses[nb_idx] - goal)\n", + " \n", + " # put into queen\n", + " if queueed_flag[nb_idx] == 0:\n", + " visit_queue.put(nb_idx, f_score)\n", + " queueed_flag[nb_idx] = 1\n", + "\n", + " path = self._extract_path(cur_node, parent_idx, start_idx, sparse_poses) \n", + " path[0] = full_start_idx\n", + " path[-1] = full_goal_idx\n", + "\n", + " return path, optimal\n", + " \n", + " def find_local_path(self, start_pose, path, steps=5) :\n", + " set_trace()\n", + "\n", + " path_tree = scipy.spatial.KDTree(self.poses[path])\n", + " path_idx = path_tree.query(start_pose)[1]\n", + " start_idx = self.full_tree.query(self.poses[path[path_idx]])[1]\n", + "\n", + " if path_idx + 5 < len(path) :\n", + " goal_idx =self.full_tree.query(self.poses[path[path_idx + steps]])[1]\n", + " else :\n", + " goal_idx =self.full_tree.query(self.poses[path[-1]])[1]\n", + "\n", + " local_path, _ = self.find_path(start_idx, goal_idx)\n", + "\n", + " return local_path\n", + "\n", + "def total_dist_fun(poses) :\n", + " total_dist = 0\n", + " curr_point = poses[0]\n", + "\n", + " for idx in range(1, poses.shape[0]) :\n", + " total_dist += np.linalg.norm(curr_point - poses[idx])\n", + " curr_point = poses[idx]\n", + " \n", + " return total_dist \n" + ], + "execution_count": 0, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "id": "cvOUf76S5zFZ", + "colab_type": "code", + "colab": {} + }, + "source": [ + "#construct A* instance\n", + "astar = Astar(poses)" + ], + "execution_count": 0, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "id": "Mh_A8aKdvwEt", + "colab_type": "code", + "outputId": "5e84feb2-7cc6-4ab2-a4de-c873f3d7b96f", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 51 + } + }, + "source": [ + "#Test A*\n", + "start_idx = np.random.randint(poses.shape[0])\n", + "goal_idx = np.random.randint(poses.shape[0])\n", + "\n", + "path, optimal = astar.find_path(start_idx, goal_idx, sparseness=10, k=50)" + ], + "execution_count": 0, + "outputs": [ + { + "output_type": "stream", + "text": [ + "8260\n", + "37563\n" + ], + "name": "stdout" + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "CkqvtjJ65x4Y", + "colab_type": "code", + "outputId": "f538c889-e5dd-43a1-b615-213b9161cf75", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 635 + } + }, + "source": [ + "#Plot computed path\n", + "plt.figure(figsize=(16,9))\n", + "plt.scatter(poses[:,1], poses[:,0], s=1)\n", + "plt.scatter(poses[path,1], poses[path,0], c='y', s=20)\n", + "plt.scatter(poses[start_idx,1], poses[start_idx,0], marker='o', c='g', s=500, label='start')\n", + "plt.scatter(poses[goal_idx,1], poses[goal_idx,0], marker='*', c='r', s=750, label='goal')\n", + "plt.legend()\n", + "plt.title('Ground Truth Position of Nodes with Overlaid A* Path')\n", + "plt.xlabel('East (m)')\n", + "plt.ylabel('North (m)')\n", + "plt.axis('equal')" + ], + "execution_count": 0, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "(-760.4307177277268,\n", + " 110.22309646812992,\n", + " -360.7839962824075,\n", + " 100.82784220736045)" + ] + }, + "metadata": { + "tags": [] + }, + "execution_count": 318 + }, + { + "output_type": 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\n", + "text/plain": [ + "

" + ] + }, + "metadata": { + "tags": [], + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "CRtQebcnjeSM", + "colab_type": "code", + "colab": {} + }, + "source": [ + "#SE(2) functions\n", + "def matrix_log_SO2(SO2_mat) :\n", + " #ln(R) in SO(3) = theta\n", + " return np.arctan2(SO2_mat[1,0], SO2_mat[0, 0])\n", + "\n", + "def matrix_log_SE2(SE2_mat) :\n", + " theta = matrix_log_SO2(SE2_mat[0:2, 0:2])\n", + " if (theta < 1e-6) :\n", + " A = 1\n", + " B = 0\n", + " else :\n", + " A = np.sin(theta)/theta\n", + " B = (1-np.cos(theta))/theta\n", + "\n", + " v_inv = 1/(A**2 + B**2) * np.array([[A, B], [-B, A]])\n", + " mat_log = np.array(np.matmul(v_inv, SE2_mat[0:2, 2]))\n", + " mat_log = np.append(mat_log, theta)\n", + "\n", + " return mat_log\n", + "\n", + "def matrix_exp_so2(theta) :\n", + " #reconstruct R.\n", + " return np.array([[np.cos(theta), -np.sin(theta)], [np.sin(theta), np.cos(theta)]])\n", + "\n", + "def matrix_exp_se2(twist) :\n", + " theta = twist[-1]\n", + " R = matrix_exp_so2(theta)\n", + " \n", + " #V converges to I2\n", + " if (theta < 1e-6) :\n", + " V = np.eye(2)\n", + " else:\n", + " V = 1/theta * np.array([[np.sin(theta), -(1 - np.cos(theta))], [(1-np.cos(theta)), np.sin(theta)]])\n", + "\n", + " mat_exp = np.zeros((3,3))\n", + " mat_exp[0:2, 0:2] = R\n", + " mat_exp[0:2, 2] = np.matmul(V, twist[0:2])\n", + " mat_exp[2, 2] = 1\n", + " \n", + " return mat_exp\n", + "\n", + "def get_twist_SE2(Xstart, pos_end, pos_future=None) :\n", + " \n", + " Xend = np.zeros((3,3))\n", + " \n", + " Xend[-1,-1] = 1\n", + " Xend[0:2, 2] = pos_end\n", + " \n", + " #compute end direction (face in direction of future step i.e. end+1)\n", + " if not pos_future is None:\n", + " next_displacement = pos_future - pos_end\n", + " next_theta = np.arctan2(next_displacement[1], next_displacement[0])\n", + " Xend[0:2, 0:2] = np.array([[np.cos(next_theta), -np.sin(next_theta)], [np.sin(next_theta), np.cos(next_theta)]])\n", + " else :\n", + " Xend[0:2, 0:2] = Xstart[0:2, 0:2]\n", + "\n", + " # set_trace()\n", + " twist_SE2 = matrix_log_SE2(np.matmul(np.linalg.inv(Xstart), Xend))\n", + "\n", + " return twist_SE2, Xend\n", + "\n", + "def twist_motion(Xstart, twist, s=1) :\n", + " return np.matmul(Xstart, s * matrix_exp_se2(twist))" + ], + "execution_count": 0, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "id": "XkTTjfR_EaGT", + "colab_type": "code", + "outputId": "5aeff481-c2f9-461b-e6e9-85e0f6b4ea12", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 136 + } + }, + "source": [ + "print('testing exponential map for SE2')\n", + "thetas = [0, 1e-4, np.pi/2, np.pi, 15*np.pi/8, 4.5 * np.pi]\n", + "\n", + "for theta in thetas :\n", + " test_SE2 = np.array([[np.cos(theta), -np.sin(theta), 1.5], [np.sin(theta), np.cos(theta), 2], [0, 0, 1]])\n", + " \n", + " twist = matrix_log_SE2(test_SE2)\n", + " SE2_res = matrix_exp_se2(twist)\n", + " \n", + " assert(np.sum(test_SE2 - SE2_res) < 1e-6)\n", + " print('passed theta = ', theta)" + ], + "execution_count": 0, + "outputs": [ + { + "output_type": "stream", + "text": [ + "testing exponential map for SE2\n", + "passed theta = 0\n", + "passed theta = 0.0001\n", + "passed theta = 1.5707963267948966\n", + "passed theta = 3.141592653589793\n", + "passed theta = 5.890486225480862\n", + "passed theta = 14.137166941154069\n" + ], + "name": "stdout" + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "LsDb3F7fKBol", + "colab_type": "code", + "outputId": "fdeaf8f7-a326-4ea7-b495-7fb751b784e0", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 51 + } + }, + "source": [ + "#Generation of twists and executing path\n", + "print('testing motion twist generation')\n", + "\n", + "pos_end = np.array([x1, y1])\n", + "pos_future = np.array([x2, y2])\n", + "\n", + "twists = []\n", + "\n", + "Xstart = np.eye(3)\n", + "Xstart[0:2, 2] = poses[path[0]]\n", + "\n", + "poses = np.array(poses)\n", + "\n", + "for pose_idx, path_idx in enumerate(path[1:-1]) :\n", + " twist, Xstart = get_twist_SE2(Xstart, poses[pose_idx], poses[path_idx + 1])\n", + " twists.append(twist)\n", + " #print(twist)\n", + "\n", + "twist, Xend = get_twist_SE2(Xstart, poses[-1])\n", + "twists.append(twist)\n", + "\n", + "\n", + "Xk = np.eye(3)\n", + "Xk[0:2, 2] = poses[path[0]]\n", + "\n", + "for twist in twists :\n", + " Xk = twist_motion(Xk, twist)\n", + "\n", + "assert(np.sum(Xk - Xend) < 1e-6)\n", + "print('passed')" + ], + "execution_count": 359, + "outputs": [ + { + "output_type": "stream", + "text": [ + "testing motion twist generation\n", + "passed\n" + ], + "name": "stdout" + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "PaYwXvSfeO4k", + "colab_type": "code", + "outputId": "e53f3ada-f8bd-4ec8-ffd2-124154658d74", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 985 + } + }, + "source": [ + "#Cubic interpolation of poses.\n", + "\n", + "poss = np.array(poses[path])\n", + "velocities = np.zeros(poss.shape) \n", + "T = np.zeros(poss.shape[0])\n", + "\n", + "total_time = 100\n", + "total_dist = total_dist_fun(poss)\n", + "cum_dist = 0\n", + "\n", + "velocities[0] = 0\n", + "\n", + "for i in range(1, poss.shape[0] - 1) :\n", + " seg_dist = np.linalg.norm(poss[i+1] - poss[i])\n", + " velocities[i] = (((poss[i+1] - poss[i]) / seg_dist) + velocities[i-1])/2\n", + " T[i] = total_time * cum_dist/total_dist\n", + " cum_dist += seg_dist\n", + " \n", + "T[-1] = total_time\n", + "velocities[-1] = 0\n", + "print(velocities)\n", + "\n", + "a = np.zeros((poss.shape[0], 4, poss.shape[1]))\n", + "\n", + "for j in range(0, poss.shape[0]-1) :\n", + " del_Tj = T[j+1] - T[j]\n", + " a[j, 0] = poss[j]\n", + " a[j, 1] = velocities[j]\n", + " a[j, 2] = (3 * poss[j+1] - 3 * poss[j] - 2 * velocities[j] * del_Tj - velocities[j+1] * del_Tj)/ (del_Tj**2)\n", + " a[j, 3] = (2 * poss[j] + (velocities[j] + velocities[j+1]) * del_Tj - 2 * poss[j + 1]) / (del_Tj**3)\n", + "\n", + "del_t = 0.005\n", + "pos_x = [a[0,0][0]]\n", + "pos_y = [a[0,0][1]]\n", + "vel_x = [0]\n", + "vel_y = [0]\n", + "\n", + "total_trial = 100\n", + "\n", + "for t in np.arange(del_t, total_trial, del_t) :\n", + " j = np.argmax(T > t)-1\n", + " delta_t = t - T[j]\n", + " pos_t = a[j, 0] + a[j, 1]* delta_t + a[j, 2] * (delta_t**2) + a[j, 3] * (delta_t**3)\n", + " pos_x.append(pos_t[0])\n", + " pos_y.append(pos_t[1])\n", + " vel_x.append((pos_x[-1] - pos_x[-2])/del_t)\n", + " vel_y.append((pos_y[-1] - pos_y[-2])/del_t)\n", + "\n", + "t = np.arange(0, total_trial, del_t)\n", + "\n", + "plt.figure(figsize=(16,9))\n", + "plt.plot(t[1:405], pos_x[1:405], linestyle='-', c='r', label='interpolated x position')\n", + "# plt.scatter(t[0:400], pos_y[0:400], label='y position')\n", + "\n", + "plt.scatter(T[1:14], poss[1:14,0], c='b')\n", + "plt.plot(T[1:14], poss[1:14,0], linestyle='-', c='g', label='no interpolation')\n", + "# plt.scatter(T[0:10], poss[0:10,1], label='y no interp')\n", + "\n", + "plt.legend()\n", + "plt.title('position with cubic interpolation of via points')\n", + "plt.xlabel('Time (s)')\n", + "plt.ylabel('Position (m)')\n", + "\n", + "\n", + "plt.figure()\n", + "plt.scatter(t[2:500], vel_x[2:500])\n", + "plt.scatter(t[2:500], vel_y[2:500])" + ], + "execution_count": 0, + "outputs": [ + { + "output_type": "stream", + "text": [ + "[[0. 0. ]\n", + " [0.06225802 0.4961088 ]\n", + " [0.09777187 0.74359323]\n", + " ...\n", + " [0.61079301 0.79024087]\n", + " [0.64382541 0.76317733]\n", + " [0. 0. ]]\n" + ], + "name": "stdout" + }, + { + "output_type": "stream", + "text": [ + "/usr/local/lib/python3.6/dist-packages/ipykernel_launcher.py:27: RuntimeWarning: divide by zero encountered in true_divide\n", + "/usr/local/lib/python3.6/dist-packages/ipykernel_launcher.py:28: RuntimeWarning: divide by zero encountered in true_divide\n" + ], + "name": "stderr" + }, + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": { + "tags": [] + }, + "execution_count": 356 + }, + { + "output_type": "display_data", + "data": { + "image/png": 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "tags": [], + "needs_background": "light" + } + } + ] + } + ] +} \ No newline at end of file From de53da281ac0f2bb80438370886bf756b4c01ef4 Mon Sep 17 00:00:00 2001 From: Yushu Zhang Date: Thu, 30 Apr 2020 19:55:31 -0400 Subject: [PATCH 24/25] manage file --- Astar.py => src/control/Astar.py | 0 .../control/mpc_along_trajectory.py | 8 ++++---- mpc_func.py => src/control/mpc_func.py | 0 one_round_demo.py => src/control/one_round_demo.py | 0 4 files changed, 4 insertions(+), 4 deletions(-) rename Astar.py => src/control/Astar.py (100%) rename mpc_along_trajectory.py => src/control/mpc_along_trajectory.py (90%) rename mpc_func.py => src/control/mpc_func.py (100%) rename one_round_demo.py => src/control/one_round_demo.py (100%) diff --git a/Astar.py b/src/control/Astar.py similarity index 100% rename from Astar.py rename to src/control/Astar.py diff --git a/mpc_along_trajectory.py b/src/control/mpc_along_trajectory.py similarity index 90% rename from mpc_along_trajectory.py rename to src/control/mpc_along_trajectory.py index d319779..887f27e 100644 --- a/mpc_along_trajectory.py +++ b/src/control/mpc_along_trajectory.py @@ -3,7 +3,7 @@ from Astar import * poses = load_poses('pose_gt.csv') sparseness = 100 -print(poses.shape[0]/sparseness) +# print(poses.shape[0]/sparseness) # plot_position(poses[1::sparseness]) sparse_poses = poses[1::sparseness, 1:3] @@ -16,8 +16,8 @@ goal_idx = np.random.randint(sparse_poses.shape[0]) cur_node, parent_idx = Astar(start_idx, goal_idx, sparse_poses, k=20) path = find_path(cur_node, parent_idx, start_idx) # print(time.time() - start_time) -print(start_idx, goal_idx) -print(path) +#print(start_idx, goal_idx) +#print(path) # print(len(path)) # print(total_dist(path)) @@ -48,4 +48,4 @@ for interval in range(len(path)//T): dt, lr, T, max_speed, min_speed) speed_now = xstar.value[2,-1] theta = xstar.value[3,-1] - print(ustar.value) \ No newline at end of file + print(ustar.value) diff --git a/mpc_func.py b/src/control/mpc_func.py similarity index 100% rename from mpc_func.py rename to src/control/mpc_func.py diff --git a/one_round_demo.py b/src/control/one_round_demo.py similarity index 100% rename from one_round_demo.py rename to src/control/one_round_demo.py From 411988725a297574ef8a60b0fa5007899264e736 Mon Sep 17 00:00:00 2001 From: Yushu Zhang Date: Thu, 30 Apr 2020 20:08:47 -0400 Subject: [PATCH 25/25] delete requirement.txt --- requirement.txt | 9 --------- 1 file changed, 9 deletions(-) delete mode 100644 requirement.txt diff --git a/requirement.txt b/requirement.txt deleted file mode 100644 index 47fba99..0000000 --- a/requirement.txt +++ /dev/null @@ -1,9 +0,0 @@ -sys -matplotlib -numpy -scipy -math -random -time -cvxpy -heapq \ No newline at end of file