spaCy/spacy/gold.pyx

# cython: profile=True
# coding: utf8
from __future__ import unicode_literals, print_function

import re
import random
import numpy
import tempfile
import shutil
import itertools
from pathlib import Path
import srsly

from .syntax import nonproj
from .tokens import Doc, Span
from .errors import Errors, AlignmentError, user_warning, Warnings
from .compat import path2str
from . import util
from .util import minibatch, itershuffle

from libc.stdio cimport FILE, fopen, fclose, fread, fwrite, feof, fseek


punct_re = re.compile(r"\W")


def tags_to_entities(tags):
    entities = []
    start = None
    for i, tag in enumerate(tags):
        if tag is None:
            continue
        if tag.startswith("O"):
            # TODO: We shouldn't be getting these malformed inputs. Fix this.
            if start is not None:
                start = None
            continue
        elif tag == "-":
            continue
        elif tag.startswith("I"):
            if start is None:
                raise ValueError(Errors.E067.format(tags=tags[:i + 1]))
            continue
        if tag.startswith("U"):
            entities.append((tag[2:], i, i))
        elif tag.startswith("B"):
            start = i
        elif tag.startswith("L"):
            entities.append((tag[2:], start, i))
            start = None
        else:
            raise ValueError(Errors.E068.format(tag=tag))
    return entities


def merge_sents(sents):
    m_deps = [[], [], [], [], [], []]
    m_cats = {}
    m_brackets = []
    i = 0
    for (ids, words, tags, heads, labels, ner), (cats, brackets) in sents:
        m_deps[0].extend(id_ + i for id_ in ids)
        m_deps[1].extend(words)
        m_deps[2].extend(tags)
        m_deps[3].extend(head + i for head in heads)
        m_deps[4].extend(labels)
        m_deps[5].extend(ner)
        m_brackets.extend((b["first"] + i, b["last"] + i, b["label"])
                          for b in brackets)
        m_cats.update(cats)
        i += len(ids)
    return [(m_deps, (m_cats, m_brackets))]


def _normalize_for_alignment(tokens):
    return [w.replace(" ", "").lower() for w in tokens]


def align(tokens_a, tokens_b):
    """Calculate alignment tables between two tokenizations.

    tokens_a (List[str]): The candidate tokenization.
    tokens_b (List[str]): The reference tokenization.
    RETURNS: (tuple): A 5-tuple consisting of the following information:
      * cost (int): The number of misaligned tokens.
      * a2b (List[int]): Mapping of indices in `tokens_a` to indices in `tokens_b`.
        For instance, if `a2b[4] == 6`, that means that `tokens_a[4]` aligns
        to `tokens_b[6]`. If there's no one-to-one alignment for a token,
        it has the value -1.
      * b2a (List[int]): The same as `a2b`, but mapping the other direction.
      * a2b_multi (Dict[int, int]): A dictionary mapping indices in `tokens_a`
        to indices in `tokens_b`, where multiple tokens of `tokens_a` align to
        the same token of `tokens_b`.
      * b2a_multi (Dict[int, int]): As with `a2b_multi`, but mapping the other
            direction.
    """
    tokens_a = _normalize_for_alignment(tokens_a)
    tokens_b = _normalize_for_alignment(tokens_b)
    cost = 0
    a2b = numpy.empty(len(tokens_a), dtype="i")
    b2a = numpy.empty(len(tokens_b), dtype="i")
    a2b.fill(-1)
    b2a.fill(-1)
    a2b_multi = {}
    b2a_multi = {}
    i = 0
    j = 0
    offset_a = 0
    offset_b = 0
    while i < len(tokens_a) and j < len(tokens_b):
        a = tokens_a[i][offset_a:]
        b = tokens_b[j][offset_b:]
        if a == b:
            if offset_a == offset_b == 0:
                a2b[i] = j
                b2a[j] = i
            elif offset_a == 0:
                cost += 2
                a2b_multi[i] = j
            elif offset_b == 0:
                cost += 2
                b2a_multi[j] = i
            offset_a = offset_b = 0
            i += 1
            j += 1
        elif a == "":
            assert offset_a == 0
            cost += 1
            i += 1
        elif b == "":
            assert offset_b == 0
            cost += 1
            j += 1
        elif b.startswith(a):
            cost += 1
            if offset_a == 0:
                a2b_multi[i] = j
            i += 1
            offset_a = 0
            offset_b += len(a)
        elif a.startswith(b):
            cost += 1
            if offset_b == 0:
                b2a_multi[j] = i
            j += 1
            offset_b = 0
            offset_a += len(b)
        else:
            assert "".join(tokens_a) != "".join(tokens_b)
            raise AlignmentError(Errors.E186.format(tok_a=tokens_a, tok_b=tokens_b))
    return cost, a2b, b2a, a2b_multi, b2a_multi


class GoldCorpus(object):
    """An annotated corpus, using the JSON file format. Manages
    annotations for tagging, dependency parsing and NER.

    DOCS: https://spacy.io/api/goldcorpus
    """
    def __init__(self, train, dev, gold_preproc=False, limit=None):
        """Create a GoldCorpus.

        train_path (unicode or Path): File or directory of training data.
        dev_path (unicode or Path): File or directory of development data.
        RETURNS (GoldCorpus): The newly created object.
        """
        self.limit = limit
        if isinstance(train, str) or isinstance(train, Path):
            train = self.read_tuples(self.walk_corpus(train))
            dev = self.read_tuples(self.walk_corpus(dev))
        # Write temp directory with one doc per file, so we can shuffle and stream
        self.tmp_dir = Path(tempfile.mkdtemp())
        self.write_msgpack(self.tmp_dir / "train", train, limit=self.limit)
        self.write_msgpack(self.tmp_dir / "dev", dev, limit=self.limit)

    def __del__(self):
        shutil.rmtree(path2str(self.tmp_dir))

    @staticmethod
    def write_msgpack(directory, doc_tuples, limit=0):
        if not directory.exists():
            directory.mkdir()
        n = 0
        for i, doc_tuple in enumerate(doc_tuples):
            srsly.write_msgpack(directory / "{}.msg".format(i), [doc_tuple])
            n += len(doc_tuple[1])
            if limit and n >= limit:
                break

    @staticmethod
    def walk_corpus(path):
        path = util.ensure_path(path)
        if not path.is_dir():
            return [path]
        paths = [path]
        locs = []
        seen = set()
        for path in paths:
            if str(path) in seen:
                continue
            seen.add(str(path))
            if path.parts[-1].startswith("."):
                continue
            elif path.is_dir():
                paths.extend(path.iterdir())
            elif path.parts[-1].endswith((".json", ".jsonl")):
                locs.append(path)
        return locs

    @staticmethod
    def read_tuples(locs, limit=0):
        i = 0
        for loc in locs:
            loc = util.ensure_path(loc)
            if loc.parts[-1].endswith("json"):
                gold_tuples = read_json_file(loc)
            elif loc.parts[-1].endswith("jsonl"):
                gold_tuples = srsly.read_jsonl(loc)
                first_gold_tuple = next(gold_tuples)
                gold_tuples = itertools.chain([first_gold_tuple], gold_tuples)
                # TODO: proper format checks with schemas
                if isinstance(first_gold_tuple, dict):
                    gold_tuples = read_json_object(gold_tuples)
            elif loc.parts[-1].endswith("msg"):
                gold_tuples = srsly.read_msgpack(loc)
            else:
                supported = ("json", "jsonl", "msg")
                raise ValueError(Errors.E124.format(path=path2str(loc), formats=supported))
            for item in gold_tuples:
                yield item
                i += len(item[1])
                if limit and i >= limit:
                    return

    @property
    def dev_tuples(self):
        locs = (self.tmp_dir / "dev").iterdir()
        yield from self.read_tuples(locs, limit=self.limit)

    @property
    def train_tuples(self):
        locs = (self.tmp_dir / "train").iterdir()
        yield from self.read_tuples(locs, limit=self.limit)

    def count_train(self):
        n = 0
        i = 0
        for raw_text, paragraph_tuples in self.train_tuples:
            for sent_tuples, brackets in paragraph_tuples:
                n += len(sent_tuples[1])
                if self.limit and i >= self.limit:
                    break
                i += 1
        return n

    def train_docs(self, nlp, gold_preproc=False, max_length=None,
                    noise_level=0.0, orth_variant_level=0.0,
                    ignore_misaligned=False):
        locs = list((self.tmp_dir / 'train').iterdir())
        random.shuffle(locs)
        train_tuples = self.read_tuples(locs, limit=self.limit)
        gold_docs = self.iter_gold_docs(nlp, train_tuples, gold_preproc,
                                        max_length=max_length,
                                        noise_level=noise_level,
                                        orth_variant_level=orth_variant_level,
                                        make_projective=True,
                                        ignore_misaligned=ignore_misaligned)
        yield from gold_docs

    def train_docs_without_preprocessing(self, nlp, gold_preproc=False):
        gold_docs = self.iter_gold_docs(nlp, self.train_tuples, gold_preproc=gold_preproc)
        yield from gold_docs

    def dev_docs(self, nlp, gold_preproc=False, ignore_misaligned=False):
        gold_docs = self.iter_gold_docs(nlp, self.dev_tuples, gold_preproc=gold_preproc,
                                        ignore_misaligned=ignore_misaligned)
        yield from gold_docs

    @classmethod
    def iter_gold_docs(cls, nlp, tuples, gold_preproc, max_length=None,
                       noise_level=0.0, orth_variant_level=0.0, make_projective=False,
                       ignore_misaligned=False):
        for raw_text, paragraph_tuples in tuples:
            if gold_preproc:
                raw_text = None
            else:
                paragraph_tuples = merge_sents(paragraph_tuples)
            docs, paragraph_tuples = cls._make_docs(nlp, raw_text,
                    paragraph_tuples, gold_preproc, noise_level=noise_level,
                    orth_variant_level=orth_variant_level)
            golds = cls._make_golds(docs, paragraph_tuples, make_projective,
                                    ignore_misaligned=ignore_misaligned)
            for doc, gold in zip(docs, golds):
                if gold is not None:
                    if (not max_length) or len(doc) < max_length:
                        yield doc, gold

    @classmethod
    def _make_docs(cls, nlp, raw_text, paragraph_tuples, gold_preproc, noise_level=0.0, orth_variant_level=0.0):
        if raw_text is not None:
            raw_text, paragraph_tuples = make_orth_variants(nlp, raw_text, paragraph_tuples, orth_variant_level=orth_variant_level)
            raw_text = add_noise(raw_text, noise_level)
            return [nlp.make_doc(raw_text)], paragraph_tuples
        else:
            docs = []
            raw_text, paragraph_tuples = make_orth_variants(nlp, None, paragraph_tuples, orth_variant_level=orth_variant_level)
            return [Doc(nlp.vocab, words=add_noise(sent_tuples[1], noise_level))
                    for (sent_tuples, brackets) in paragraph_tuples], paragraph_tuples


    @classmethod
    def _make_golds(cls, docs, paragraph_tuples, make_projective, ignore_misaligned=False):
        if len(docs) != len(paragraph_tuples):
            n_annots = len(paragraph_tuples)
            raise ValueError(Errors.E070.format(n_docs=len(docs), n_annots=n_annots))
        golds = []
        for doc, (sent_tuples, (cats, brackets)) in zip(docs, paragraph_tuples):
            try:
                gold = GoldParse.from_annot_tuples(doc, sent_tuples, cats=cats,
                    make_projective=make_projective)
            except AlignmentError:
                if ignore_misaligned:
                    gold = None
                else:
                    raise
            golds.append(gold)
        return golds


def make_orth_variants(nlp, raw, paragraph_tuples, orth_variant_level=0.0):
    if random.random() >= orth_variant_level:
        return raw, paragraph_tuples
    if random.random() >= 0.5:
        lower = True
        if raw is not None:
            raw = raw.lower()
    ndsv = nlp.Defaults.single_orth_variants
    ndpv = nlp.Defaults.paired_orth_variants
    # modify words in paragraph_tuples
    variant_paragraph_tuples = []
    for sent_tuples, brackets in paragraph_tuples:
        ids, words, tags, heads, labels, ner = sent_tuples
        if lower:
            words = [w.lower() for w in words]
        # single variants
        punct_choices = [random.choice(x["variants"]) for x in ndsv]
        for word_idx in range(len(words)):
            for punct_idx in range(len(ndsv)):
                if tags[word_idx] in ndsv[punct_idx]["tags"] \
                        and words[word_idx] in ndsv[punct_idx]["variants"]:
                    words[word_idx] = punct_choices[punct_idx]
        # paired variants
        punct_choices = [random.choice(x["variants"]) for x in ndpv]
        for word_idx in range(len(words)):
            for punct_idx in range(len(ndpv)):
                if tags[word_idx] in ndpv[punct_idx]["tags"] \
                        and words[word_idx] in itertools.chain.from_iterable(ndpv[punct_idx]["variants"]):
                    # backup option: random left vs. right from pair
                    pair_idx = random.choice([0, 1])
                    # best option: rely on paired POS tags like `` / ''
                    if len(ndpv[punct_idx]["tags"]) == 2:
                        pair_idx = ndpv[punct_idx]["tags"].index(tags[word_idx])
                    # next best option: rely on position in variants
                    # (may not be unambiguous, so order of variants matters)
                    else:
                        for pair in ndpv[punct_idx]["variants"]:
                            if words[word_idx] in pair:
                                pair_idx = pair.index(words[word_idx])
                    words[word_idx] = punct_choices[punct_idx][pair_idx]

        variant_paragraph_tuples.append(((ids, words, tags, heads, labels, ner), brackets))
    # modify raw to match variant_paragraph_tuples
    if raw is not None:
        variants = []
        for single_variants in ndsv:
            variants.extend(single_variants["variants"])
        for paired_variants in ndpv:
            variants.extend(list(itertools.chain.from_iterable(paired_variants["variants"])))
        # store variants in reverse length order to be able to prioritize
        # longer matches (e.g., "---" before "--")
        variants = sorted(variants, key=lambda x: len(x))
        variants.reverse()
        variant_raw = ""
        raw_idx = 0
        # add initial whitespace
        while raw_idx < len(raw) and re.match("\s", raw[raw_idx]):
            variant_raw += raw[raw_idx]
            raw_idx += 1
        for sent_tuples, brackets in variant_paragraph_tuples:
            ids, words, tags, heads, labels, ner = sent_tuples
            for word in words:
                match_found = False
                # add identical word
                if word not in variants and raw[raw_idx:].startswith(word):
                    variant_raw += word
                    raw_idx += len(word)
                    match_found = True
                # add variant word
                else:
                    for variant in variants:
                        if not match_found and \
                                raw[raw_idx:].startswith(variant):
                            raw_idx += len(variant)
                            variant_raw += word
                            match_found = True
                # something went wrong, abort
                # (add a warning message?)
                if not match_found:
                    return raw, paragraph_tuples
                # add following whitespace
                while raw_idx < len(raw) and re.match("\s", raw[raw_idx]):
                    variant_raw += raw[raw_idx]
                    raw_idx += 1
        return variant_raw, variant_paragraph_tuples
    return raw, variant_paragraph_tuples


def add_noise(orig, noise_level):
    if random.random() >= noise_level:
        return orig
    elif type(orig) == list:
        corrupted = [_corrupt(word, noise_level) for word in orig]
        corrupted = [w for w in corrupted if w]
        return corrupted
    else:
        return "".join(_corrupt(c, noise_level) for c in orig)


def _corrupt(c, noise_level):
    if random.random() >= noise_level:
        return c
    elif c in [".", "'", "!", "?", ","]:
        return "\n"
    else:
        return c.lower()


def read_json_object(json_corpus_section):
    """Take a list of JSON-formatted documents (e.g. from an already loaded
    training data file) and yield tuples in the GoldParse format.

    json_corpus_section (list): The data.
    YIELDS (tuple): The reformatted data.
    """
    for json_doc in json_corpus_section:
        tuple_doc = json_to_tuple(json_doc)
        for tuple_paragraph in tuple_doc:
            yield tuple_paragraph


def json_to_tuple(doc):
    """Convert an item in the JSON-formatted training data to the tuple format
    used by GoldParse.

    doc (dict): One entry in the training data.
    YIELDS (tuple): The reformatted data.
    """
    paragraphs = []
    for paragraph in doc["paragraphs"]:
        sents = []
        cats = {}
        for cat in paragraph.get("cats", {}):
            cats[cat["label"]] = cat["value"]
        for sent in paragraph["sentences"]:
            words = []
            ids = []
            tags = []
            heads = []
            labels = []
            ner = []
            for i, token in enumerate(sent["tokens"]):
                words.append(token["orth"])
                ids.append(i)
                tags.append(token.get('tag', "-"))
                heads.append(token.get("head", 0) + i)
                labels.append(token.get("dep", ""))
                # Ensure ROOT label is case-insensitive
                if labels[-1].lower() == "root":
                    labels[-1] = "ROOT"
                ner.append(token.get("ner", "-"))
            sents.append([
                [ids, words, tags, heads, labels, ner],
                [cats, sent.get("brackets", [])]])
        if sents:
            yield [paragraph.get("raw", None), sents]


def read_json_file(loc, docs_filter=None, limit=None):
    loc = util.ensure_path(loc)
    if loc.is_dir():
        for filename in loc.iterdir():
            yield from read_json_file(loc / filename, limit=limit)
    else:
        for doc in _json_iterate(loc):
            if docs_filter is not None and not docs_filter(doc):
                continue
            for json_tuple in json_to_tuple(doc):
                yield json_tuple


def _json_iterate(loc):
    # We should've made these files jsonl...But since we didn't, parse out
    # the docs one-by-one to reduce memory usage.
    # It's okay to read in the whole file -- just don't parse it into JSON.
    cdef bytes py_raw
    loc = util.ensure_path(loc)
    with loc.open("rb") as file_:
        py_raw = file_.read()
    cdef long file_length = len(py_raw)
    if file_length > 2 ** 30:
        user_warning(Warnings.W027.format(size=file_length))

    raw = <char*>py_raw
    cdef int square_depth = 0
    cdef int curly_depth = 0
    cdef int inside_string = 0
    cdef int escape = 0
    cdef long start = -1
    cdef char c
    cdef char quote = ord('"')
    cdef char backslash = ord("\\")
    cdef char open_square = ord("[")
    cdef char close_square = ord("]")
    cdef char open_curly = ord("{")
    cdef char close_curly = ord("}")
    for i in range(file_length):
        c = raw[i]
        if escape:
            escape = False
            continue
        if c == backslash:
            escape = True
            continue
        if c == quote:
            inside_string = not inside_string
            continue
        if inside_string:
            continue
        if c == open_square:
            square_depth += 1
        elif c == close_square:
            square_depth -= 1
        elif c == open_curly:
            if square_depth == 1 and curly_depth == 0:
                start = i
            curly_depth += 1
        elif c == close_curly:
            curly_depth -= 1
            if square_depth == 1 and curly_depth == 0:
                py_str = py_raw[start : i + 1].decode("utf8")
                try:
                    yield srsly.json_loads(py_str)
                except Exception:
                    print(py_str)
                    raise
                start = -1


def iob_to_biluo(tags):
    out = []
    tags = list(tags)
    while tags:
        out.extend(_consume_os(tags))
        out.extend(_consume_ent(tags))
    return out


def _consume_os(tags):
    while tags and tags[0] == "O":
        yield tags.pop(0)


def _consume_ent(tags):
    if not tags:
        return []
    tag = tags.pop(0)
    target_in = "I" + tag[1:]
    target_last = "L" + tag[1:]
    length = 1
    while tags and tags[0] in {target_in, target_last}:
        length += 1
        tags.pop(0)
    label = tag[2:]
    if length == 1:
        if len(label) == 0:
            raise ValueError(Errors.E177.format(tag=tag))
        return ["U-" + label]
    else:
        start = "B-" + label
        end = "L-" + label
        middle = ["I-%s" % label for _ in range(1, length - 1)]
        return [start] + middle + [end]


cdef class GoldParse:
    """Collection for training annotations.

    DOCS: https://spacy.io/api/goldparse
    """
    @classmethod
    def from_annot_tuples(cls, doc, annot_tuples, cats=None, make_projective=False):
        _, words, tags, heads, deps, entities = annot_tuples
        return cls(doc, words=words, tags=tags, heads=heads, deps=deps,
                   entities=entities, cats=cats,
                   make_projective=make_projective)

    def __init__(self, doc, annot_tuples=None, words=None, tags=None, morphology=None,
                 heads=None, deps=None, entities=None, make_projective=False,
                 cats=None, links=None, **_):
        """Create a GoldParse. The fields will not be initialized if len(doc) is zero.

        doc (Doc): The document the annotations refer to.
        words (iterable): A sequence of unicode word strings.
        tags (iterable): A sequence of strings, representing tag annotations.
        heads (iterable): A sequence of integers, representing syntactic
            head offsets.
        deps (iterable): A sequence of strings, representing the syntactic
            relation types.
        entities (iterable): A sequence of named entity annotations, either as
            BILUO tag strings, or as `(start_char, end_char, label)` tuples,
            representing the entity positions.
        cats (dict): Labels for text classification. Each key in the dictionary
            may be a string or an int, or a `(start_char, end_char, label)`
            tuple, indicating that the label is applied to only part of the
            document (usually a sentence). Unlike entity annotations, label
            annotations can overlap, i.e. a single word can be covered by
            multiple labelled spans. The TextCategorizer component expects
            true examples of a label to have the value 1.0, and negative
            examples of a label to have the value 0.0. Labels not in the
            dictionary are treated as missing - the gradient for those labels
            will be zero.
        links (dict): A dict with `(start_char, end_char)` keys,
            and the values being dicts with kb_id:value entries,
            representing the external IDs in a knowledge base (KB)
            mapped to either 1.0 or 0.0, indicating positive and
            negative examples respectively.
        RETURNS (GoldParse): The newly constructed object.
        """
        self.mem = Pool()
        self.loss = 0
        self.length = len(doc)

        self.cats = {} if cats is None else dict(cats)
        self.links = links

        # orig_annot is used as an iterator in `nlp.evalate` even if self.length == 0,
        # so set a empty list to avoid error.
        # if self.lenght > 0, this is modified latter.
        self.orig_annot = []

        # avoid allocating memory if the doc does not contain any tokens
        if self.length > 0:
            if words is None:
                words = [token.text for token in doc]
            if tags is None:
                tags = [None for _ in words]
            if heads is None:
                heads = [None for _ in words]
            if deps is None:
                deps = [None for _ in words]
            if morphology is None:
                morphology = [None for _ in words]
            if entities is None:
                entities = ["-" for _ in words]
            elif len(entities) == 0:
                entities = ["O" for _ in words]
            else:
                # Translate the None values to '-', to make processing easier.
                # See Issue #2603
                entities = [(ent if ent is not None else "-") for ent in entities]
                if not isinstance(entities[0], basestring):
                    # Assume we have entities specified by character offset.
                    entities = biluo_tags_from_offsets(doc, entities)

            # These are filled by the tagger/parser/entity recogniser
            self.c.tags = <int*>self.mem.alloc(len(doc), sizeof(int))
            self.c.heads = <int*>self.mem.alloc(len(doc), sizeof(int))
            self.c.labels = <attr_t*>self.mem.alloc(len(doc), sizeof(attr_t))
            self.c.has_dep = <int*>self.mem.alloc(len(doc), sizeof(int))
            self.c.sent_start = <int*>self.mem.alloc(len(doc), sizeof(int))
            self.c.ner = <Transition*>self.mem.alloc(len(doc), sizeof(Transition))

            self.words = [None] * len(doc)
            self.tags = [None] * len(doc)
            self.heads = [None] * len(doc)
            self.labels = [None] * len(doc)
            self.ner = [None] * len(doc)
            self.morphology = [None] * len(doc)

            # This needs to be done before we align the words
            if make_projective and heads is not None and deps is not None:
                heads, deps = nonproj.projectivize(heads, deps)

            # Do many-to-one alignment for misaligned tokens.
            # If we over-segment, we'll have one gold word that covers a sequence
            # of predicted words
            # If we under-segment, we'll have one predicted word that covers a
            # sequence of gold words.
            # If we "mis-segment", we'll have a sequence of predicted words covering
            # a sequence of gold words. That's many-to-many -- we don't do that.
            cost, i2j, j2i, i2j_multi, j2i_multi = align([t.orth_ for t in doc], words)

            self.cand_to_gold = [(j if j >= 0 else None) for j in i2j]
            self.gold_to_cand = [(i if i >= 0 else None) for i in j2i]

            annot_tuples = (range(len(words)), words, tags, heads, deps, entities)
            self.orig_annot = list(zip(*annot_tuples))

            for i, gold_i in enumerate(self.cand_to_gold):
                if doc[i].text.isspace():
                    self.words[i] = doc[i].text
                    self.tags[i] = "_SP"
                    self.heads[i] = None
                    self.labels[i] = None
                    self.ner[i] = None
                    self.morphology[i] = set()
                if gold_i is None:
                    if i in i2j_multi:
                        self.words[i] = words[i2j_multi[i]]
                        self.tags[i] = tags[i2j_multi[i]]
                        self.morphology[i] = morphology[i2j_multi[i]]
                        is_last = i2j_multi[i] != i2j_multi.get(i+1)
                        is_first = i2j_multi[i] != i2j_multi.get(i-1)
                        # Set next word in multi-token span as head, until last
                        if not is_last:
                            self.heads[i] = i+1
                            self.labels[i] = "subtok"
                        else:
                            head_i = heads[i2j_multi[i]]
                            if head_i:
                                self.heads[i] = self.gold_to_cand[head_i]
                            self.labels[i] = deps[i2j_multi[i]]
                        # Now set NER...This is annoying because if we've split
                        # got an entity word split into two, we need to adjust the
                        # BILUO tags. We can't have BB or LL etc.
                        # Case 1: O -- easy.
                        ner_tag = entities[i2j_multi[i]]
                        if ner_tag == "O":
                            self.ner[i] = "O"
                        # Case 2: U. This has to become a B I* L sequence.
                        elif ner_tag.startswith("U-"):
                            if is_first:
                                self.ner[i] = ner_tag.replace("U-", "B-", 1)
                            elif is_last:
                                self.ner[i] = ner_tag.replace("U-", "L-", 1)
                            else:
                                self.ner[i] = ner_tag.replace("U-", "I-", 1)
                        # Case 3: L. If not last, change to I.
                        elif ner_tag.startswith("L-"):
                            if is_last:
                                self.ner[i] = ner_tag
                            else:
                                self.ner[i] = ner_tag.replace("L-", "I-", 1)
                        # Case 4: I. Stays correct
                        elif ner_tag.startswith("I-"):
                            self.ner[i] = ner_tag
                else:
                    self.words[i] = words[gold_i]
                    self.tags[i] = tags[gold_i]
                    self.morphology[i] = morphology[gold_i]
                    if heads[gold_i] is None:
                        self.heads[i] = None
                    else:
                        self.heads[i] = self.gold_to_cand[heads[gold_i]]
                    self.labels[i] = deps[gold_i]
                    self.ner[i] = entities[gold_i]

            # Prevent whitespace that isn't within entities from being tagged as
            # an entity.
            for i in range(len(self.ner)):
                if self.tags[i] == "_SP":
                    prev_ner = self.ner[i-1] if i >= 1 else None
                    next_ner = self.ner[i+1] if (i+1) < len(self.ner) else None
                    if prev_ner == "O" or next_ner == "O":
                        self.ner[i] = "O"

            cycle = nonproj.contains_cycle(self.heads)
            if cycle is not None:
                raise ValueError(Errors.E069.format(cycle=cycle,
                    cycle_tokens=" ".join(["'{}'".format(self.words[tok_id]) for tok_id in cycle]),
                    doc_tokens=" ".join(words[:50])))

    def __len__(self):
        """Get the number of gold-standard tokens.

        RETURNS (int): The number of gold-standard tokens.
        """
        return self.length

    @property
    def is_projective(self):
        """Whether the provided syntactic annotations form a projective
        dependency tree.
        """
        return not nonproj.is_nonproj_tree(self.heads)

    property sent_starts:
        def __get__(self):
            return [self.c.sent_start[i] for i in range(self.length)]

        def __set__(self, sent_starts):
            for gold_i, is_sent_start in enumerate(sent_starts):
                i = self.gold_to_cand[gold_i]
                if i is not None:
                    if is_sent_start in (1, True):
                        self.c.sent_start[i] = 1
                    elif is_sent_start in (-1, False):
                        self.c.sent_start[i] = -1
                    else:
                        self.c.sent_start[i] = 0


def docs_to_json(docs, id=0, ner_missing_tag="O"):
    """Convert a list of Doc objects into the JSON-serializable format used by
    the spacy train command.

    docs (iterable / Doc): The Doc object(s) to convert.
    id (int): Id for the JSON.
    RETURNS (dict): The data in spaCy's JSON format
        - each input doc will be treated as a paragraph in the output doc
    """
    if isinstance(docs, Doc):
        docs = [docs]
    json_doc = {"id": id, "paragraphs": []}
    for i, doc in enumerate(docs):
        json_para = {'raw': doc.text, "sentences": [], "cats": []}
        for cat, val in doc.cats.items():
            json_cat = {"label": cat, "value": val}
            json_para["cats"].append(json_cat)
        ent_offsets = [(e.start_char, e.end_char, e.label_) for e in doc.ents]
        biluo_tags = biluo_tags_from_offsets(doc, ent_offsets, missing=ner_missing_tag)
        for j, sent in enumerate(doc.sents):
            json_sent = {"tokens": [], "brackets": []}
            for token in sent:
                json_token = {"id": token.i, "orth": token.text}
                if doc.is_tagged:
                    json_token["tag"] = token.tag_
                if doc.is_parsed:
                    json_token["head"] = token.head.i-token.i
                    json_token["dep"] = token.dep_
                json_token["ner"] = biluo_tags[token.i]
                json_sent["tokens"].append(json_token)
            json_para["sentences"].append(json_sent)
        json_doc["paragraphs"].append(json_para)
    return json_doc


def biluo_tags_from_offsets(doc, entities, missing="O"):
    """Encode labelled spans into per-token tags, using the
    Begin/In/Last/Unit/Out scheme (BILUO).

    doc (Doc): The document that the entity offsets refer to. The output tags
        will refer to the token boundaries within the document.
    entities (iterable): A sequence of `(start, end, label)` triples. `start`
        and `end` should be character-offset integers denoting the slice into
        the original string.
    RETURNS (list): A list of unicode strings, describing the tags. Each tag
        string will be of the form either "", "O" or "{action}-{label}", where
        action is one of "B", "I", "L", "U". The string "-" is used where the
        entity offsets don't align with the tokenization in the `Doc` object.
        The training algorithm will view these as missing values. "O" denotes a
        non-entity token. "B" denotes the beginning of a multi-token entity,
        "I" the inside of an entity of three or more tokens, and "L" the end
        of an entity of two or more tokens. "U" denotes a single-token entity.

    EXAMPLE:
        >>> text = 'I like London.'
        >>> entities = [(len('I like '), len('I like London'), 'LOC')]
        >>> doc = nlp.tokenizer(text)
        >>> tags = biluo_tags_from_offsets(doc, entities)
        >>> assert tags == ["O", "O", 'U-LOC', "O"]
    """
    # Ensure no overlapping entity labels exist
    tokens_in_ents = {}

    starts = {token.idx: token.i for token in doc}
    ends = {token.idx + len(token): token.i for token in doc}
    biluo = ["-" for _ in doc]
    # Handle entity cases
    for start_char, end_char, label in entities:
        for token_index in range(start_char, end_char):
            if token_index in tokens_in_ents.keys():
                raise ValueError(Errors.E103.format(
                    span1=(tokens_in_ents[token_index][0],
                            tokens_in_ents[token_index][1],
                            tokens_in_ents[token_index][2]),
                    span2=(start_char, end_char, label)))
            tokens_in_ents[token_index] = (start_char, end_char, label)

        start_token = starts.get(start_char)
        end_token = ends.get(end_char)
        # Only interested if the tokenization is correct
        if start_token is not None and end_token is not None:
            if start_token == end_token:
                biluo[start_token] = "U-%s" % label
            else:
                biluo[start_token] = "B-%s" % label
                for i in range(start_token+1, end_token):
                    biluo[i] = "I-%s" % label
                biluo[end_token] = "L-%s" % label
    # Now distinguish the O cases from ones where we miss the tokenization
    entity_chars = set()
    for start_char, end_char, label in entities:
        for i in range(start_char, end_char):
            entity_chars.add(i)
    for token in doc:
        for i in range(token.idx, token.idx + len(token)):
            if i in entity_chars:
                break
        else:
            biluo[token.i] = missing
    return biluo


def spans_from_biluo_tags(doc, tags):
    """Encode per-token tags following the BILUO scheme into Span object, e.g.
    to overwrite the doc.ents.

    doc (Doc): The document that the BILUO tags refer to.
    entities (iterable): A sequence of BILUO tags with each tag describing one
        token. Each tags string will be of the form of either "", "O" or
        "{action}-{label}", where action is one of "B", "I", "L", "U".
    RETURNS (list): A sequence of Span objects.
    """
    token_offsets = tags_to_entities(tags)
    spans = []
    for label, start_idx, end_idx in token_offsets:
        span = Span(doc, start_idx, end_idx + 1, label=label)
        spans.append(span)
    return spans


def offsets_from_biluo_tags(doc, tags):
    """Encode per-token tags following the BILUO scheme into entity offsets.

    doc (Doc): The document that the BILUO tags refer to.
    entities (iterable): A sequence of BILUO tags with each tag describing one
        token. Each tags string will be of the form of either "", "O" or
        "{action}-{label}", where action is one of "B", "I", "L", "U".
    RETURNS (list): A sequence of `(start, end, label)` triples. `start` and
        `end` will be character-offset integers denoting the slice into the
        original string.
    """
    spans = spans_from_biluo_tags(doc, tags)
    return [(span.start_char, span.end_char, span.label_) for span in spans]


def is_punct_label(label):
    return label == "P" or label.lower() == "punct"