from functools import partial import numpy as np from numpy.typing import NDArray from algorithms.neat.genome.utils import flatten_connections, set_operation_analysis def distance(nodes1: NDArray, connections1: NDArray, nodes2: NDArray, connections2: NDArray) -> NDArray: """ Calculate the distance between two genomes. nodes are a 2-d array with shape (N, 5), its columns are [key, bias, response, act, agg] connections are a 3-d array with shape (2, N, N), axis 0 means [weights, enable] """ node_distance = gene_distance(nodes1, nodes2, 'node') # refactor connections keys1, keys2 = nodes1[:, 0], nodes2[:, 0] cons1 = flatten_connections(keys1, connections1) cons2 = flatten_connections(keys2, connections2) connection_distance = gene_distance(cons1, cons2, 'connection') return node_distance + connection_distance def gene_distance(ar1, ar2, gene_type, compatibility_coe=0.5, disjoint_coe=1.): if gene_type == 'node': keys1, keys2 = ar1[:, :1], ar2[:, :1] else: # connection keys1, keys2 = ar1[:, :2], ar2[:, :2] n_sorted_indices, n_intersect_mask, n_union_mask = set_operation_analysis(keys1, keys2) nodes = np.concatenate((ar1, ar2), axis=0) sorted_nodes = nodes[n_sorted_indices] if gene_type == 'node': node_exist_mask = np.any(~np.isnan(sorted_nodes[:, 1:]), axis=1) else: node_exist_mask = np.any(~np.isnan(sorted_nodes[:, 2:]), axis=1) n_intersect_mask = n_intersect_mask & node_exist_mask n_union_mask = n_union_mask & node_exist_mask fr_sorted_nodes, sr_sorted_nodes = sorted_nodes[:-1], sorted_nodes[1:] non_homologous_cnt = np.sum(n_union_mask) - np.sum(n_intersect_mask) if gene_type == 'node': node_distance = batch_homologous_node_distance(fr_sorted_nodes, sr_sorted_nodes) else: # connection node_distance = batch_homologous_connection_distance(fr_sorted_nodes, sr_sorted_nodes) node_distance = np.where(np.isnan(node_distance), 0, node_distance) homologous_distance = np.sum(node_distance * n_intersect_mask[:-1]) gene_cnt1 = np.sum(np.all(~np.isnan(ar1), axis=1)) gene_cnt2 = np.sum(np.all(~np.isnan(ar2), axis=1)) max_cnt = np.maximum(gene_cnt1, gene_cnt2) val = non_homologous_cnt * disjoint_coe + homologous_distance * compatibility_coe return np.where(max_cnt == 0, 0, val / max_cnt) # consider the case that both genome has no gene def batch_homologous_node_distance(b_n1, b_n2): res = [] for n1, n2 in zip(b_n1, b_n2): d = homologous_node_distance(n1, n2) res.append(d) return np.stack(res, axis=0) def batch_homologous_connection_distance(b_c1, b_c2): res = [] for c1, c2 in zip(b_c1, b_c2): d = homologous_connection_distance(c1, c2) res.append(d) return np.stack(res, axis=0) def homologous_node_distance(n1, n2): d = 0 d += np.abs(n1[1] - n2[1]) # bias d += np.abs(n1[2] - n2[2]) # response d += n1[3] != n2[3] # activation d += n1[4] != n2[4] return d def homologous_connection_distance(c1, c2): d = 0 d += np.abs(c1[2] - c2[2]) # weight d += c1[3] != c2[3] # enable return d