from typing import Tuple import jax from jax import jit, Array, numpy as jnp def crossover(state, nodes1: Array, cons1: Array, nodes2: Array, cons2: Array): """ use genome1 and genome2 to generate a new genome notice that genome1 should have higher fitness than genome2 (genome1 is winner!) """ randkey_1, randkey_2, key= jax.random.split(state.randkey, 3) # crossover nodes keys1, keys2 = nodes1[:, 0], nodes2[:, 0] # make homologous genes align in nodes2 align with nodes1 nodes2 = align_array(keys1, keys2, nodes2, False) # For not homologous genes, use the value of nodes1(winner) # For homologous genes, use the crossover result between nodes1 and nodes2 new_nodes = jnp.where(jnp.isnan(nodes1) | jnp.isnan(nodes2), nodes1, crossover_gene(randkey_1, nodes1, nodes2)) # crossover connections con_keys1, con_keys2 = cons1[:, :2], cons2[:, :2] cons2 = align_array(con_keys1, con_keys2, cons2, True) new_cons = jnp.where(jnp.isnan(cons1) | jnp.isnan(cons2), cons1, crossover_gene(randkey_2, cons1, cons2)) return state.update(randkey=key), new_nodes, new_cons def align_array(seq1: Array, seq2: Array, ar2: Array, is_conn: bool) -> Array: """ After I review this code, I found that it is the most difficult part of the code. Please never change it! make ar2 align with ar1. :param seq1: :param seq2: :param ar2: :param is_conn: :return: align means to intersect part of ar2 will be at the same position as ar1, non-intersect part of ar2 will be set to Nan """ seq1, seq2 = seq1[:, jnp.newaxis], seq2[jnp.newaxis, :] mask = (seq1 == seq2) & (~jnp.isnan(seq1)) if is_conn: mask = jnp.all(mask, axis=2) intersect_mask = mask.any(axis=1) idx = jnp.arange(0, len(seq1)) idx_fixed = jnp.dot(mask, idx) refactor_ar2 = jnp.where(intersect_mask[:, jnp.newaxis], ar2[idx_fixed], jnp.nan) return refactor_ar2 def crossover_gene(rand_key: Array, g1: Array, g2: Array) -> Array: """ crossover two genes :param rand_key: :param g1: :param g2: :return: only gene with the same key will be crossover, thus don't need to consider change key """ r = jax.random.uniform(rand_key, shape=g1.shape) return jnp.where(r > 0.5, g1, g2)