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# -*- coding: utf-8 -*-
"""
ABOUT:
======
precompute counts for HMM inputs
updated on Sept 26 2024 for (B, L, 2) input sizes
"""
import jax
from jax import numpy as jnp
######################
### HELPER FUNCTIONS #
######################
# these get called in summarize_alignment
def count_substitutions(one_sample, one_sample_bool):
"""
vectorized way to count types of substitutions i.e. emissions at
match states
yields a (20, 20) matrix per site in max_len
this will get vmapped over the batch dimension
"""
# identify what the pair is, using an indicator matrix:
# (rows = anc, cols = desc)
# subtract index by 3, because there's three special tokens at beginning
# of alphabet: pad, bos, and eos
# finally, multiply by sample boolean i.e. mask the whole matrix if
# the position is NOT a match position
one_sample_bool = jnp.expand_dims(one_sample_bool, 1)
def encode_pairs(vec_at_pos, bool_at_pos):
indc_mat = jnp.zeros((20,20),dtype='uint8')
anc_tok, desc_tok = vec_at_pos
indc_mat = indc_mat.at[anc_tok-3, desc_tok-3].add(1)
indc_mat = indc_mat * bool_at_pos
return indc_mat
vmapped_encode_pairs = jax.vmap(encode_pairs, in_axes=0)
subCounts_persite_persamp = vmapped_encode_pairs(one_sample, one_sample_bool)
subCounts = subCounts_persite_persamp.sum(axis=0)
return subCounts
def count_insertions(batch, ins_pos_mask):
"""
count different types of insertions i.e. emissions at insert states
yields a (20,) vector for the whole batch
unlike other counting methods, this can operate on the whole batch at once
"""
### use insertion positions as a mask on the batch
# look at DESCENDANT SEQ to see what types of insertions happen
all_inserts = batch[:, :, 1] * ins_pos_mask
### count the number of valid tokens
# this gets vmapped over the valid alphabet
valid_toks = jnp.arange(3, 23)
def count_insertions(tok):
return (all_inserts == tok).sum(axis=1)
vmapped_count_insertions = jax.vmap(count_insertions, in_axes=0)
insCounts = vmapped_count_insertions(valid_toks)
return insCounts.T
def count_deletions(batch, del_pos_mask):
"""
count different types of deletions
yields a (20,) vector for the whole batch
unlike other counting methods, this can operate on the whole batch at once
"""
### use deletion positions as a mask on the batch
# look at ANCESTOR SEQ to see what aas got deleted
all_deletes = batch[:, :, 0] * del_pos_mask
### count the number of valid tokens
# this gets vmapped over the valid alphabet
valid_toks = jnp.arange(3, 23)
def count_deletions(tok):
return (all_deletes == tok).sum(axis=1)
vmapped_count_deletions = jax.vmap(count_deletions, in_axes=0)
delCounts = vmapped_count_deletions(valid_toks)
return delCounts.T
def count_transitions(one_alignment_path, start_idxes):
"""
vectorized way to count types of transitions (M, I, D)
yields a (3, 3) matrix for the sample
this will get vmapped over the batch dimension
"""
# this is vmapped over the length of start_idxes, to get a sliding
# window effect on one_alignment_path
def identify_pair_type(start_idx):
indicator_mat = jnp.zeros((4,4))
from_tok, to_tok = one_alignment_path[(start_idx, start_idx+1),]
indicator_mat = indicator_mat.at[from_tok, to_tok].add(1)
return indicator_mat
vmapped_subpairs = jax.vmap(identify_pair_type, in_axes=0)
# indicator matrix is (4,4), but first row and column are transitions
# to padding characters and don't really count; cut them off
out = vmapped_subpairs(start_idxes)
transition_counts = out[:, 1:, 1:]
# sum over whole sequence length to get all transitions for this
# alignment path
transition_counts = jnp.sum(transition_counts, axis=0)
return transition_counts
###################
### MAIN FUNCTION #
###################
def summarize_alignment(batch, align_len, gap_tok=43):
"""
batch should be a tensor of aligned sequences that are categorically
encoded, with the following non-alphabet tokens:
0: <pad>
1: <bos> (not included in pairHMM data, but still reserved token)
2: <eos> (not included in pairHMM data, but still reserved token)
43: default gap char (but can be changed)
batch is of size (batch_size, max_seq_len, 2), where-
dim2=0: ancestor sequence, aligned (i.e. with gaps)
dim2=1: descendant sequence, aligned (i.e. with gaps)
align_len is a vector of size (batch_size,) that has the length of the
alignments
"""
#######################################
### COMPRESS ALIGNMENT REPRESENTATION #
#######################################
### split into gaps vs not gaps
non_gaps = jnp.where((batch != gap_tok) & (batch != 0), 1, 0)
gaps = jnp.where((batch == gap_tok), batch, 0)
### find matches, inserts, and deletions
# matches found using non_gaps vector
match_pos = jnp.where(jnp.sum(non_gaps, axis=2) == 2, 1, 0)
# inserts mean ancestor char == gap_tok
ins_pos = jnp.where(gaps[:,:,0] == gap_tok, 1, 0)
# deletions means descendant char == gap_tok
del_pos = jnp.where(gaps[:,:,1] == gap_tok, 1, 0)
# combine all into one vec for later
# M = 1, I = 2, D = 3; padding is 0
paths_compressed = (match_pos + (ins_pos*2) + (del_pos*3))
### ADD ADDITIONAL MATCH STATES AT BEGINNING AND END OF ALIGNMENT PATHS
### this is part of the LG05, RS07, and H20 assumptions
# add match at the end of the paths
extra_end_col = jnp.zeros((batch.shape[0], 1))
to_adjust = jnp.concatenate([paths_compressed, extra_end_col], axis=1)
x_idxes = (jnp.arange(0, batch.shape[0]))
with_extra_end_match = to_adjust.at[x_idxes, align_len].add(1)
# add extra start at the beginning of the paths
extra_start_col = jnp.ones((batch.shape[0], 1))
paths_with_extra_start_end_matches = jnp.concatenate([extra_start_col,
with_extra_end_match],
axis=1).astype(int)
### clean up variables
del non_gaps, gaps, paths_compressed
######################################
### COUNT EMISSIONS FROM MATCH STATE #
######################################
### use count_substitutions function, defined above
### vmap it along the batch dimension (dim0)
match_pos = match_pos.astype(bool)
countsubs_vmapped = jax.vmap(count_substitutions,
in_axes = (0,0))
subCounts_persamp = countsubs_vmapped(batch,
match_pos)
#######################################
### COUNT EMISSIONS FROM INSERT STATE #
#######################################
insCounts_persamp = count_insertions(batch = batch,
ins_pos_mask = ins_pos)
del ins_pos
################################################
### COUNT TYPES OF DELETIONS FROM DELETE STATE #
################################################
delCounts_persamp = count_deletions(batch = batch,
del_pos_mask = del_pos)
del del_pos
#######################
### COUNT TRANSITIONS #
#######################
### use count_transitions function, defined above
### vmap it along the batch dimension (dim0)
counttrans_vmapped = jax.vmap(count_transitions,
in_axes=(0, None))
start_idxes = jnp.arange(start = 0,
stop = paths_with_extra_start_end_matches.shape[1] - 1).astype(int)
transCounts_persamp = counttrans_vmapped(paths_with_extra_start_end_matches,
start_idxes)
return (subCounts_persamp, insCounts_persamp,
delCounts_persamp, transCounts_persamp)
######################################
### overal equilibrium distributions #
######################################
def get_aa_counts(seq_mat):
valid_aas = jnp.arange(3, 23)
# vmap this over valid_aas
def count_aas(aa, dset):
return (dset == aa).sum()
vmapped_count_aas = jax.vmap(count_aas, in_axes=(0, None))
counts = vmapped_count_aas(valid_aas, seq_mat)
return counts
def safe_convert(mat):
assert mat.max() <= 65535
assert mat.max() >= 0
return mat.astype('uint16')
##############################################
### functional wrappers that also save files #
##############################################
def get_equilib_counts(in_dir, split, gap_tok=43):
print(f'Working on split: {split}')
### read file
with open(f'{in_dir}/{split}_pair_alignments.npy', 'rb') as f:
# B, L, 2
hmm_paths = np.load(f)
assert hmm_paths.shape[1] == 2324
del f
### run get_aa_counts to get equilibrium distribution across all positions
AA_counts = get_aa_counts(hmm_paths)
out_file = f'{split}_AAcounts.npy'
with open(out_file, 'wb') as g:
np.save(out_file, AA_counts)
del AA_counts, out_file
### mask to only select match positions
# split into gaps vs not gaps
non_gaps = np.where((hmm_paths != gap_tok) & (hmm_paths != 0), 1, 0)
# find matches positions, use it to create a mask to only keep values at
# match sites
match_pos = np.where(np.sum(non_gaps, axis=-1) == 2, True, False)[:,:,None]
del non_gaps
match_mask = np.repeat(match_pos, 2, axis=-1)
del match_pos
masked_hmm_paths = hmm_paths * match_mask
del match_mask
### run get_aa_counts as normal on this masked matrix to get equilibrium
### distribution ONLY at match positions
AA_counts_subsOnly = get_aa_counts(masked_hmm_paths)
out_file = f'{split}_AAcounts_subsOnly.npy'
with open(out_file, 'wb') as g:
np.save(out_file, AA_counts_subsOnly)
def summarize_trans_emiss_counts_wrapper(in_dir, split):
print(f'Processing {split}')
### initialize the pytorch dataset object
dset = pairAlign_dloader(in_dir = in_dir,
split = split)
### create a dataloader that returns jax arrays
dload = DataLoader(dset,
batch_size = batch_size,
shuffle = False,
collate_fn = jax_collator)
subCounts_lst = []
insCounts_lst = []
delCounts_lst = []
transCounts_lst = []
for i, batch in enumerate(dload):
# batch is (batchsize, max_len, 2)
# lens will be (batchsize, max_len)
lens = (batch != 0).sum(axis=1)[:,0]
if i == 0:
jitted_summarize_alignment = jax.jit(summarize_alignment)
### use jit-compiled summarize alignment
out = jitted_summarize_alignment(batch, lens)
batch_subCounts_persamp = out[0]
batch_insCounts_persamp = out[1]
batch_delCounts_persamp = out[2]
batch_transCounts_persamp = out[3]
del out
# adjust types
batch_subCounts_persamp = safe_convert(batch_subCounts_persamp)
batch_insCounts_persamp = safe_convert(batch_insCounts_persamp)
batch_delCounts_persamp = safe_convert(batch_delCounts_persamp)
batch_transCounts_persamp = safe_convert(batch_transCounts_persamp)
# append
subCounts_lst.append(batch_subCounts_persamp)
insCounts_lst.append(batch_insCounts_persamp)
delCounts_lst.append(batch_delCounts_persamp)
transCounts_lst.append(batch_transCounts_persamp)
# concatenate
subCounts_persamp = jnp.concatenate(subCounts_lst, axis=0)
assert subCounts_persamp.shape == (len(dset), 20, 20), f'subCounts shape is wrong: {subCounts_persamp.shape}'
del subCounts_lst
insCounts_persamp = jnp.concatenate(insCounts_lst, axis=0)
assert insCounts_persamp.shape == (len(dset), 20), f'insCounts shape is wrong: {insCounts_persamp.shape}'
del insCounts_lst
delCounts_persamp = jnp.concatenate(delCounts_lst, axis=0)
assert delCounts_persamp.shape == (len(dset), 20), f'delCounts shape is wrong: {delCounts_persamp.shape}'
del delCounts_lst
transCounts_persamp = jnp.concatenate(transCounts_lst, axis=0)
assert transCounts_persamp.shape == (len(dset), 3, 3), f'transCounts shape is wrong: {transCounts_persamp.shape}'
del transCounts_lst
# output
with open(f'./precalculated_counts/{split}_subCounts.npy', 'wb') as g:
jnp.save(g, subCounts_persamp)
with open(f'./precalculated_counts/{split}_insCounts.npy', 'wb') as g:
jnp.save(g, insCounts_persamp)
with open(f'./precalculated_counts/{split}_delCounts.npy', 'wb') as g:
jnp.save(g, delCounts_persamp)
with open(f'./precalculated_counts/{split}_transCounts.npy', 'wb') as g:
jnp.save(g, transCounts_persamp)
if __name__ == '__main__':
import os
import numpy as np
from pairAlign_dloader import pairAlign_dloader, jax_collator
from tqdm import tqdm
### make sure this still works as expected
# (M->M) (added START)
# (M->D)
# (D->I)
# (I->M) (added END)
fake_align = jnp.array([[3, 4, 43, 0],
[3, 43, 5, 0]]).T[None,:,:]
true_trans_mat = jnp.array([[1, 0, 1],
[1, 0, 0],
[0, 1, 0]])
true_match_mat = jnp.zeros( (20, 20) )
true_match_mat = true_match_mat.at[0,0].add(1)
true_del_vec = jnp.zeros( (20,) )
true_del_vec = true_del_vec.at[1].add(1)
true_ins_vec = jnp.zeros( (20,) )
true_ins_vec = true_ins_vec.at[2].add(1)
out = summarize_alignment(fake_align,
3,
gap_tok=43)
pred_match_mat = out[0][0]
pred_ins_vec = out[1][0]
pred_del_vec = out[2][0]
pred_trans_mat = out[3][0]
del out
assert jnp.allclose(true_match_mat, pred_match_mat)
assert jnp.allclose(true_del_vec, pred_del_vec)
assert jnp.allclose(true_ins_vec, pred_ins_vec)
assert jnp.allclose(true_trans_mat, pred_trans_mat)
# ### do this for all regular spilts
# splitnames = [f'TENPERC_split{i}' for i in range(5)]
# batch_size = 1500
# for split in splitnames:
# get_equilib_counts(in_dir = 'tenperc_data_pairAlignments',
# split = split,
# gap_tok = 43)
# summarize_trans_emiss_counts_wrapper(in_dir = 'tenperc_data_pairAlignments',
# split = split)
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