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#!/usr/bin/env python3
# Copyright (c) Facebook, Inc. and its affiliates.
#
# This source code is licensed under the MIT license found in the
# LICENSE file in the root directory of this source tree.
from __future__ import absolute_import, division, print_function, unicode_literals
import re
from collections import deque
from enum import Enum
import numpy as np
"""
Utility modules for computation of Word Error Rate,
Alignments, as well as more granular metrics like
deletion, insersion and substitutions.
"""
class Code(Enum):
match = 1
substitution = 2
insertion = 3
deletion = 4
class Token(object):
def __init__(self, lbl="", st=np.nan, en=np.nan):
if np.isnan(st):
self.label, self.start, self.end = "", 0.0, 0.0
else:
self.label, self.start, self.end = lbl, st, en
class AlignmentResult(object):
def __init__(self, refs, hyps, codes, score):
self.refs = refs # std::deque<int>
self.hyps = hyps # std::deque<int>
self.codes = codes # std::deque<Code>
self.score = score # float
def coordinate_to_offset(row, col, ncols):
return int(row * ncols + col)
def offset_to_row(offset, ncols):
return int(offset / ncols)
def offset_to_col(offset, ncols):
return int(offset % ncols)
def trimWhitespace(str):
return re.sub(" +", " ", re.sub(" *$", "", re.sub("^ *", "", str)))
def str2toks(str):
pieces = trimWhitespace(str).split(" ")
toks = []
for p in pieces:
toks.append(Token(p, 0.0, 0.0))
return toks
class EditDistance(object):
def __init__(self, time_mediated):
self.time_mediated_ = time_mediated
self.scores_ = np.nan # Eigen::Matrix<float, Eigen::Dynamic, Eigen::Dynamic>
self.backtraces_ = (
np.nan
) # Eigen::Matrix<size_t, Eigen::Dynamic, Eigen::Dynamic> backtraces_;
self.confusion_pairs_ = {}
def cost(self, ref, hyp, code):
if self.time_mediated_:
if code == Code.match:
return abs(ref.start - hyp.start) + abs(ref.end - hyp.end)
elif code == Code.insertion:
return hyp.end - hyp.start
elif code == Code.deletion:
return ref.end - ref.start
else: # substitution
return abs(ref.start - hyp.start) + abs(ref.end - hyp.end) + 0.1
else:
if code == Code.match:
return 0
elif code == Code.insertion or code == Code.deletion:
return 3
else: # substitution
return 4
def get_result(self, refs, hyps):
res = AlignmentResult(refs=deque(), hyps=deque(), codes=deque(), score=np.nan)
num_rows, num_cols = self.scores_.shape
res.score = self.scores_[num_rows - 1, num_cols - 1]
curr_offset = coordinate_to_offset(num_rows - 1, num_cols - 1, num_cols)
while curr_offset != 0:
curr_row = offset_to_row(curr_offset, num_cols)
curr_col = offset_to_col(curr_offset, num_cols)
prev_offset = self.backtraces_[curr_row, curr_col]
prev_row = offset_to_row(prev_offset, num_cols)
prev_col = offset_to_col(prev_offset, num_cols)
res.refs.appendleft(curr_row - 1) # Note: this was .push_front() in C++
res.hyps.appendleft(curr_col - 1)
if curr_row - 1 == prev_row and curr_col == prev_col:
res.codes.appendleft(Code.deletion)
elif curr_row == prev_row and curr_col - 1 == prev_col:
res.codes.appendleft(Code.insertion)
else:
# assert(curr_row - 1 == prev_row and curr_col - 1 == prev_col)
ref_str = refs[res.refs[0]].label
hyp_str = hyps[res.hyps[0]].label
if ref_str == hyp_str:
res.codes.appendleft(Code.match)
else:
res.codes.appendleft(Code.substitution)
confusion_pair = "%s -> %s" % (ref_str, hyp_str)
if confusion_pair not in self.confusion_pairs_:
self.confusion_pairs_[confusion_pair] = 1
else:
self.confusion_pairs_[confusion_pair] += 1
curr_offset = prev_offset
return res
def align(self, refs, hyps):
if len(refs) == 0 and len(hyps) == 0:
return np.nan
# NOTE: we're not resetting the values in these matrices because every value
# will be overridden in the loop below. If this assumption doesn't hold,
# be sure to set all entries in self.scores_ and self.backtraces_ to 0.
self.scores_ = np.zeros((len(refs) + 1, len(hyps) + 1))
self.backtraces_ = np.zeros((len(refs) + 1, len(hyps) + 1))
num_rows, num_cols = self.scores_.shape
for i in range(num_rows):
for j in range(num_cols):
if i == 0 and j == 0:
self.scores_[i, j] = 0.0
self.backtraces_[i, j] = 0
continue
if i == 0:
self.scores_[i, j] = self.scores_[i, j - 1] + self.cost(
None, hyps[j - 1], Code.insertion
)
self.backtraces_[i, j] = coordinate_to_offset(i, j - 1, num_cols)
continue
if j == 0:
self.scores_[i, j] = self.scores_[i - 1, j] + self.cost(
refs[i - 1], None, Code.deletion
)
self.backtraces_[i, j] = coordinate_to_offset(i - 1, j, num_cols)
continue
# Below here both i and j are greater than 0
ref = refs[i - 1]
hyp = hyps[j - 1]
best_score = self.scores_[i - 1, j - 1] + (
self.cost(ref, hyp, Code.match)
if (ref.label == hyp.label)
else self.cost(ref, hyp, Code.substitution)
)
prev_row = i - 1
prev_col = j - 1
ins = self.scores_[i, j - 1] + self.cost(None, hyp, Code.insertion)
if ins < best_score:
best_score = ins
prev_row = i
prev_col = j - 1
delt = self.scores_[i - 1, j] + self.cost(ref, None, Code.deletion)
if delt < best_score:
best_score = delt
prev_row = i - 1
prev_col = j
self.scores_[i, j] = best_score
self.backtraces_[i, j] = coordinate_to_offset(
prev_row, prev_col, num_cols
)
return self.get_result(refs, hyps)
class WERTransformer(object):
def __init__(self, hyp_str, ref_str, verbose=True):
self.ed_ = EditDistance(False)
self.id2oracle_errs_ = {}
self.utts_ = 0
self.words_ = 0
self.insertions_ = 0
self.deletions_ = 0
self.substitutions_ = 0
self.process(["dummy_str", hyp_str, ref_str])
if verbose:
print("'%s' vs '%s'" % (hyp_str, ref_str))
self.report_result()
def process(self, input): # std::vector<std::string>&& input
if len(input) < 3:
print(
"Input must be of the form <id> ... <hypo> <ref> , got ",
len(input),
" inputs:",
)
return None
# Align
# std::vector<Token> hyps;
# std::vector<Token> refs;
hyps = str2toks(input[-2])
refs = str2toks(input[-1])
alignment = self.ed_.align(refs, hyps)
if alignment is None:
print("Alignment is null")
return np.nan
# Tally errors
ins = 0
dels = 0
subs = 0
for code in alignment.codes:
if code == Code.substitution:
subs += 1
elif code == Code.insertion:
ins += 1
elif code == Code.deletion:
dels += 1
# Output
row = input
row.append(str(len(refs)))
row.append(str(ins))
row.append(str(dels))
row.append(str(subs))
# print(row)
# Accumulate
kIdIndex = 0
kNBestSep = "/"
pieces = input[kIdIndex].split(kNBestSep)
if len(pieces) == 0:
print(
"Error splitting ",
input[kIdIndex],
" on '",
kNBestSep,
"', got empty list",
)
return np.nan
id = pieces[0]
if id not in self.id2oracle_errs_:
self.utts_ += 1
self.words_ += len(refs)
self.insertions_ += ins
self.deletions_ += dels
self.substitutions_ += subs
self.id2oracle_errs_[id] = [ins, dels, subs]
else:
curr_err = ins + dels + subs
prev_err = np.sum(self.id2oracle_errs_[id])
if curr_err < prev_err:
self.id2oracle_errs_[id] = [ins, dels, subs]
return 0
def report_result(self):
# print("---------- Summary ---------------")
if self.words_ == 0:
print("No words counted")
return
# 1-best
best_wer = (
100.0
* (self.insertions_ + self.deletions_ + self.substitutions_)
/ self.words_
)
print(
"\tWER = %0.2f%% (%i utts, %i words, %0.2f%% ins, "
"%0.2f%% dels, %0.2f%% subs)"
% (
best_wer,
self.utts_,
self.words_,
100.0 * self.insertions_ / self.words_,
100.0 * self.deletions_ / self.words_,
100.0 * self.substitutions_ / self.words_,
)
)
def wer(self):
if self.words_ == 0:
wer = np.nan
else:
wer = (
100.0
* (self.insertions_ + self.deletions_ + self.substitutions_)
/ self.words_
)
return wer
def stats(self):
if self.words_ == 0:
stats = {}
else:
wer = (
100.0
* (self.insertions_ + self.deletions_ + self.substitutions_)
/ self.words_
)
stats = dict(
{
"wer": wer,
"utts": self.utts_,
"numwords": self.words_,
"ins": self.insertions_,
"dels": self.deletions_,
"subs": self.substitutions_,
"confusion_pairs": self.ed_.confusion_pairs_,
}
)
return stats
def calc_wer(hyp_str, ref_str):
t = WERTransformer(hyp_str, ref_str, verbose=0)
return t.wer()
def calc_wer_stats(hyp_str, ref_str):
t = WERTransformer(hyp_str, ref_str, verbose=0)
return t.stats()
def get_wer_alignment_codes(hyp_str, ref_str):
"""
INPUT: hypothesis string, reference string
OUTPUT: List of alignment codes (intermediate results from WER computation)
"""
t = WERTransformer(hyp_str, ref_str, verbose=0)
return t.ed_.align(str2toks(ref_str), str2toks(hyp_str)).codes
def merge_counts(x, y):
# Merge two hashes which have 'counts' as their values
# This can be used for example to merge confusion pair counts
# conf_pairs = merge_counts(conf_pairs, stats['confusion_pairs'])
for k, v in y.items():
if k not in x:
x[k] = 0
x[k] += v
return x