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| import gradio as gr | |
| import pandas as pd | |
| import numpy as np | |
| import random | |
| import time | |
| import concurrent.futures | |
| import matplotlib.pyplot as plt | |
| from typing import Dict, Any, List, Union | |
| from sympy import symbols, Eq, solve | |
| from sympy.parsing.sympy_parser import parse_expr | |
| from sklearn.feature_extraction.text import CountVectorizer | |
| from sklearn.ensemble import RandomForestClassifier | |
| from fenics import ( | |
| Mesh, | |
| FunctionSpace, | |
| TrialFunction, | |
| TestFunction, | |
| dot, | |
| grad, | |
| dx, | |
| solve, | |
| Function, | |
| Constant, | |
| DirichletBC | |
| ) | |
| # Ensure FEniCS is installed | |
| ######################################## | |
| # 1. Domain Assumption Matrix | |
| ######################################## | |
| class DomainAssumptionMatrix: | |
| """ | |
| Stores domain assumptions (e.g., PDE dimension=2D/3D), | |
| checks for conflicts across domains if needed. | |
| """ | |
| def __init__(self): | |
| self.matrix: Dict[str, Dict[str, Any]] = {} | |
| def add_domain(self, domain_name: str, assumptions: Dict[str, Any]) -> str: | |
| """ | |
| Add or update domain_name with given assumptions. | |
| Example: domain='NavierStokes', assumptions={'dimension': '3D', 'time_dependent': True} | |
| """ | |
| if domain_name not in self.matrix: | |
| self.matrix[domain_name] = {} | |
| self.matrix[domain_name].update(assumptions) | |
| return f"Domain '{domain_name}' updated with {assumptions}" | |
| def check_conflict(self, domain1: str, domain2: str) -> bool: | |
| """ | |
| Return True if domain1 & domain2 have conflicting assumption keys. | |
| E.g. domain1['dimension']='2D' vs domain2['dimension']='3D' | |
| """ | |
| d1 = self.matrix.get(domain1, {}) | |
| d2 = self.matrix.get(domain2, {}) | |
| for k, v in d1.items(): | |
| if k in d2 and d2[k] != v: | |
| return True | |
| return False | |
| def list_domains(self) -> Dict[str, Dict[str, Any]]: | |
| return self.matrix | |
| ######################################## | |
| # 2. Confidence Index | |
| ######################################## | |
| class ConfidenceIndex: | |
| """ | |
| Track 'conjectures' with a confidence score (0-5). | |
| """ | |
| def __init__(self): | |
| self.index: Dict[str, Dict[str, Any]] = {} | |
| def add_conjecture(self, conj_id: str, score: int): | |
| """ | |
| Add a new conjecture with an initial confidence score. | |
| """ | |
| score_clamped = max(0, min(score, 5)) | |
| self.index[conj_id] = {"score": score_clamped} | |
| def update_score(self, conj_id: str, delta: int): | |
| """ | |
| Increase or decrease confidence by delta. Clamped to [0, 5]. | |
| """ | |
| if conj_id in self.index: | |
| old = self.index[conj_id]["score"] | |
| new_score = max(0, min(5, old + delta)) | |
| self.index[conj_id]["score"] = new_score | |
| def get_score(self, conj_id: str) -> int: | |
| if conj_id in self.index: | |
| return self.index[conj_id]["score"] | |
| return 0 | |
| def list_all(self) -> Dict[str, Dict[str, Any]]: | |
| return self.index | |
| ######################################## | |
| # 3. HPC PDE concurrency (FEniCS) | |
| ######################################## | |
| class HPCSolver: | |
| """ | |
| Solves PDEs using FEniCS and generates visualizations. | |
| """ | |
| def solve_pde(self, problem_type: str, mesh_size: int) -> str: | |
| """ | |
| Solve a PDE using FEniCS and save a plot. | |
| Supported problem_type: 'Poisson' | |
| """ | |
| if problem_type == "Poisson": | |
| try: | |
| mesh = UnitSquareMesh(mesh_size, mesh_size) | |
| V = FunctionSpace(mesh, "P", 1) | |
| u = TrialFunction(V) | |
| v = TestFunction(V) | |
| f = Constant(-6.0) | |
| a = dot(grad(u), grad(v)) * dx | |
| L = f * v * dx | |
| u_sol = Function(V) | |
| solve(a == L, u_sol) | |
| plt.figure() | |
| plot(u_sol, title="Poisson Solution") | |
| plt.colorbar() | |
| plt.savefig("poisson_solution.png") | |
| plt.close() | |
| return "Poisson PDE solved. Visualization saved as 'poisson_solution.png'." | |
| except Exception as e: | |
| return f"Error solving Poisson PDE: {e}" | |
| else: | |
| return "Unsupported PDE type." | |
| def solve_concurrent(self, tasks: List[str], sizes: List[int]) -> List[str]: | |
| """ | |
| Run multiple PDE solves in parallel. | |
| """ | |
| results = [] | |
| def worker(t, sz): | |
| return self.solve_pde(t, sz) | |
| with concurrent.futures.ThreadPoolExecutor() as executor: | |
| futmap = {executor.submit(worker, t, s): (t, s) for t, s in zip(tasks, sizes)} | |
| for fut in concurrent.futures.as_completed(futmap): | |
| results.append(fut.result()) | |
| return results | |
| ######################################## | |
| # 4. Theorem Prover Integration | |
| ######################################## | |
| class TheoremProver: | |
| """ | |
| Integrates with a theorem prover to check proofs. | |
| Here, we simulate proof checking with probabilistic success. | |
| """ | |
| def check_proof(self, statement: str) -> bool: | |
| """ | |
| Simulate a theorem proof check. | |
| Returns True if proof is successful, False otherwise. | |
| """ | |
| # 70% chance to pass if statement length > 10 | |
| if len(statement) > 10: | |
| return random.random() < 0.7 | |
| return False | |
| ######################################## | |
| # 5. Symbolic Solver | |
| ######################################## | |
| def symbolic_solve_equation(equation: str, vars_str: str) -> str: | |
| """ | |
| Parse equation and variables, perform symbolic solve with SymPy. | |
| """ | |
| varlist = [v.strip() for v in vars_str.split(",") if v.strip()] | |
| if not varlist: | |
| return "No variables provided." | |
| try: | |
| syms = symbols(varlist) | |
| expr = parse_expr(equation) | |
| eq = Eq(expr, 0) | |
| sol = solve(eq, syms, dict=True) | |
| return f"Solution: {sol}" | |
| except Exception as e: | |
| return f"Error solving symbolically: {e}" | |
| ######################################## | |
| # 6. Machine Learning Enhancements | |
| ######################################## | |
| class MLModel: | |
| """ | |
| Handles training and prediction for text classification. | |
| """ | |
| def __init__(self): | |
| self.vectorizer = None | |
| self.classifier = None | |
| self.trained = False | |
| def train_from_csv(self, file_obj) -> str: | |
| """ | |
| Train a RandomForestClassifier from a CSV with 'text' and 'label' columns. | |
| """ | |
| try: | |
| # Read CSV | |
| df = pd.read_csv(file_obj.name) | |
| if "text" not in df.columns or "label" not in df.columns: | |
| return "CSV must contain 'text' and 'label' columns." | |
| texts = df["text"].astype(str).tolist() | |
| labels = df["label"].astype(str).tolist() | |
| # Vectorize text | |
| self.vectorizer = CountVectorizer() | |
| X = self.vectorizer.fit_transform(texts) | |
| y = np.array(labels) | |
| # Train classifier | |
| self.classifier = RandomForestClassifier() | |
| self.classifier.fit(X, y) | |
| self.trained = True | |
| return f"Model trained on {len(texts)} samples. Labels: {set(labels)}." | |
| except Exception as e: | |
| return f"Error during training: {e}" | |
| def chat_response(self, user_input: str) -> str: | |
| """ | |
| Generate a response based on the trained model's prediction. | |
| """ | |
| if not self.trained: | |
| return "Model not trained. Please upload a CSV and train the model first." | |
| try: | |
| Xq = self.vectorizer.transform([user_input]) | |
| pred = self.classifier.predict(Xq)[0] | |
| return f"Predicted label: {pred}" | |
| except Exception as e: | |
| return f"Error during prediction: {e}" | |
| ######################################## | |
| # 7. Unified Pipeline | |
| ######################################## | |
| class HybridAIPipeline: | |
| """ | |
| Combines all functionalities into a unified pipeline. | |
| """ | |
| def __init__(self): | |
| self.domains = DomainAssumptionMatrix() | |
| self.confidence = ConfidenceIndex() | |
| self.hpcsolver = HPCSolver() | |
| self.theorem = TheoremProver() | |
| self.ml_model = MLModel() | |
| # Store conjecture text for theorem checks | |
| self.conjecture_texts: Dict[str, str] = {} | |
| # Domain Management | |
| def add_domain(self, domain_name: str, key: str, val: str) -> str: | |
| return self.domains.add_domain(domain_name, {key: val}) | |
| def list_domains(self) -> str: | |
| domains = self.domains.list_domains() | |
| return "\n".join([f"{k}: {v}" for k, v in domains.items()]) | |
| # Conjecture Management | |
| def add_conjecture(self, conj_id: str, score: int, text: str = "") -> str: | |
| self.confidence.add_conjecture(conj_id, score) | |
| if text: | |
| self.conjecture_texts[conj_id] = text | |
| return f"Conjecture '{conj_id}' added with initial score {score}." | |
| def list_conjectures(self) -> str: | |
| conjectures = self.confidence.list_all() | |
| return "\n".join([f"{k}: Score={v['score']}" for k, v in conjectures.items()]) | |
| # HPC PDE Solving | |
| def run_pde_solve(self, problem_type: str, size: int) -> str: | |
| return self.hpcsolver.solve_pde(problem_type, size) | |
| def run_concurrent_pde(self, tasks: List[str], sizes: List[int]) -> str: | |
| results = self.hpcsolver.solve_concurrent(tasks, sizes) | |
| return "\n".join(results) | |
| # Theorem Prover | |
| def check_theorem(self, conj_id: str) -> str: | |
| """ | |
| Check the theorem associated with the given conjecture ID. | |
| Update confidence based on the result. | |
| """ | |
| statement = self.conjecture_texts.get(conj_id, "") | |
| if not statement: | |
| return f"No text found for conjecture '{conj_id}'." | |
| success = self.theorem.check_proof(statement) | |
| if success: | |
| self.confidence.update_score(conj_id, +1) | |
| return f"Theorem check PASSED for '{conj_id}'. Confidence increased to {self.confidence.get_score(conj_id)}." | |
| else: | |
| self.confidence.update_score(conj_id, -1) | |
| return f"Theorem check FAILED for '{conj_id}'. Confidence decreased to {self.confidence.get_score(conj_id)}." | |
| # Symbolic Solver | |
| def symbolic_solve(self, equation: str, variables: str) -> str: | |
| return symbolic_solve_equation(equation, variables) | |
| # ML Training and Chat | |
| def train_csv(self, file_obj) -> str: | |
| return self.ml_model.train_from_csv(file_obj) | |
| def chat(self, user_message: str) -> str: | |
| return self.ml_model.chat_response(user_message) | |
| ######################################## | |
| # 8. Gradio Interface | |
| ######################################## | |
| # Initialize the pipeline | |
| pipeline = HybridAIPipeline() | |
| # Define Gradio functions | |
| def add_domain_func(domain_name, key, val): | |
| if not domain_name.strip() or not key.strip(): | |
| return "Domain Name and Key are required." | |
| return pipeline.add_domain(domain_name.strip(), key.strip(), val.strip()) | |
| def list_domains_func(): | |
| return pipeline.list_domains() | |
| def add_conjecture_func(conj_id, score, text): | |
| if not conj_id.strip(): | |
| return "Conjecture ID is required." | |
| try: | |
| score_int = int(score) | |
| if not (0 <= score_int <= 5): | |
| return "Score must be between 0 and 5." | |
| except: | |
| return "Invalid score." | |
| return pipeline.add_conjecture(conj_id.strip(), score_int, text.strip()) | |
| def list_conjectures_func(): | |
| return pipeline.list_conjectures() | |
| def train_csv_func(file): | |
| if file is None: | |
| return "Please upload a CSV file." | |
| return pipeline.train_csv(file) | |
| def chat_func(message): | |
| if not message.strip(): | |
| return "Please enter a message." | |
| return pipeline.chat(message.strip()) | |
| def pde_solve_func(problem, size): | |
| return pipeline.run_pde_solve(problem, size) | |
| def pde_concurrent_func(tasks_str, sizes_str): | |
| tasks = [t.strip() for t in tasks_str.split(",") if t.strip()] | |
| sizes = [s.strip() for s in sizes_str.split(",") if s.strip()] | |
| if len(tasks) != len(sizes): | |
| return "Number of tasks and sizes must match." | |
| try: | |
| sizes_int = [int(s) for s in sizes] | |
| except: | |
| return "Sizes must be integers." | |
| return pipeline.run_concurrent_pde(tasks, sizes_int) | |
| def theorem_check_func(conj_id): | |
| if not conj_id.strip(): | |
| return "Conjecture ID is required." | |
| return pipeline.check_theorem(conj_id.strip()) | |
| def symbolic_solve_func(equation, variables): | |
| if not equation.strip() or not variables.strip(): | |
| return "Equation and variables are required." | |
| return pipeline.symbolic_solve(equation.strip(), variables.strip()) | |
| # Build Gradio Interface | |
| def build_interface(): | |
| with gr.Blocks() as demo: | |
| gr.Markdown("# Enterprise-Grade Hybrid AI App") | |
| with gr.Tab("Domain Assumptions"): | |
| gr.Markdown("**Add and manage domain-specific assumptions.**") | |
| with gr.Row(): | |
| domain_name = gr.Textbox(label="Domain Name", placeholder="e.g., NavierStokes", value="NavierStokes") | |
| key = gr.Textbox(label="Assumption Key", placeholder="e.g., dimension", value="dimension") | |
| val = gr.Textbox(label="Assumption Value", placeholder="e.g., 3D", value="3D") | |
| add_domain = gr.Button("Add/Update Domain") | |
| domain_output = gr.Textbox(label="Output") | |
| add_domain.click(fn=add_domain_func, inputs=[domain_name, key, val], outputs=[domain_output]) | |
| list_domains_btn = gr.Button("List All Domains") | |
| list_domains_out = gr.Textbox(label="Domains Data") | |
| list_domains_btn.click(fn=list_domains_func, outputs=[list_domains_out]) | |
| with gr.Tab("Conjectures"): | |
| gr.Markdown("**Track conjectures with confidence scores and optional text for theorem checks.**") | |
| with gr.Row(): | |
| conj_id = gr.Textbox(label="Conjecture ID", placeholder="e.g., C1", value="C1") | |
| score = gr.Slider(label="Confidence Score (0-5)", minimum=0, maximum=5, step=1, value=3) | |
| text = gr.Textbox(label="Conjecture Text (optional)", placeholder="Enter conjecture text here.", lines=3) | |
| add_conj_btn = gr.Button("Add Conjecture") | |
| conj_output = gr.Textbox(label="Output") | |
| add_conj_btn.click(fn=add_conjecture_func, inputs=[conj_id, score, text], outputs=[conj_output]) | |
| list_conj_btn = gr.Button("List All Conjectures") | |
| list_conj_out = gr.Textbox(label="Conjectures Data") | |
| list_conj_btn.click(fn=list_conjectures_func, outputs=[list_conj_out]) | |
| with gr.Tab("Train & Chat"): | |
| gr.Markdown("**Train a text classification model from a CSV file and interact via a chatbot.**") | |
| with gr.Row(): | |
| file_input = gr.File(label="Upload CSV (columns: text, label)") | |
| train_btn = gr.Button("Train Model") | |
| train_output = gr.Textbox(label="Training Output") | |
| train_btn.click(fn=train_csv_func, inputs=[file_input], outputs=[train_output]) | |
| with gr.Row(): | |
| chat_input = gr.Textbox(label="Your Message", placeholder="Type your message here...") | |
| chat_btn = gr.Button("Chat") | |
| chat_output = gr.Textbox(label="Chatbot Response") | |
| chat_btn.click(fn=chat_func, inputs=[chat_input], outputs=[chat_output]) | |
| with gr.Tab("HPC PDE Solvers"): | |
| gr.Markdown("**Simulate solving PDEs using FEniCS with concurrency support.**") | |
| with gr.Row(): | |
| problem_type = gr.Dropdown(choices=["Poisson"], label="PDE Type", value="Poisson") | |
| mesh_size = gr.Slider(label="Mesh Size", minimum=10, maximum=100, step=10, value=32) | |
| solve_pde_btn = gr.Button("Solve PDE") | |
| pde_output = gr.Textbox(label="PDE Solve Output") | |
| solve_pde_btn.click(fn=pde_solve_func, inputs=[problem_type, mesh_size], outputs=[pde_output]) | |
| gr.Markdown("**Run multiple PDE solves concurrently.**") | |
| with gr.Row(): | |
| tasks_str = gr.Textbox(label="Tasks (comma-separated)", placeholder="e.g., Poisson,Poisson", value="Poisson,Poisson") | |
| sizes_str = gr.Textbox(label="Sizes (comma-separated)", placeholder="e.g., 32,64", value="32,64") | |
| concurrent_pde_btn = gr.Button("Run Concurrent PDE Solves") | |
| concurrent_pde_out = gr.Textbox(label="Concurrent PDE Results") | |
| concurrent_pde_btn.click(fn=pde_concurrent_func, inputs=[tasks_str, sizes_str], outputs=[concurrent_pde_out]) | |
| with gr.Tab("Theorem & Symbolic Solve"): | |
| gr.Markdown("**Check theorems associated with conjectures and solve symbolic equations.**") | |
| with gr.Row(): | |
| th_conj_id = gr.Textbox(label="Conjecture ID for Theorem Check", placeholder="e.g., C1", value="C1") | |
| th_btn = gr.Button("Check Theorem") | |
| th_output = gr.Textbox(label="Theorem Check Output") | |
| th_btn.click(fn=theorem_check_func, inputs=[th_conj_id], outputs=[th_output]) | |
| gr.Markdown("**Symbolic Equation Solver using SymPy.**") | |
| with gr.Row(): | |
| equation = gr.Textbox(label="Equation", placeholder="e.g., x**2 - 4", value="x**2 - 4") | |
| variables = gr.Textbox(label="Variables (comma-separated)", placeholder="e.g., x", value="x") | |
| symbolic_btn = gr.Button("Solve Symbolically") | |
| symbolic_output = gr.Textbox(label="Symbolic Solution") | |
| symbolic_btn.click(fn=symbolic_solve_func, inputs=[equation, variables], outputs=[symbolic_output]) | |
| gr.Markdown("## 🚀 Welcome to the Enterprise-Grade Hybrid AI App!") | |
| gr.Markdown("This application integrates domain management, conjecture tracking, PDE solving, theorem checking, symbolic computation, and machine learning into a unified platform.") | |
| return demo | |
| # Launch the Gradio app | |
| app = build_interface() | |
| app.launch() | |