from flask import Blueprint, request, jsonify
import gudhi as gd

topological_analysis = Blueprint('topological_analysis', __name__)

@topological_analysis.route('/topological-analysis', methods=['POST'])
def persistent_homology():
    data = request.get_json()
    points = data.get('points', [])
    # Implement persistent homology for Topological Data Analysis (TDA)
    simplex_tree = gd.SimplexTree()
    for point in points:
        simplex_tree.insert(point)
    simplex_tree.compute_persistence()
    persistence = simplex_tree.persistence()
    return jsonify({'persistence': persistence})