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549 lines
20 KiB
Python
549 lines
20 KiB
Python
import itertools as it
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import re
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from types import MethodType
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from manimlib.mobject.svg.svg_mobject import SVGMobject
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from manimlib.mobject.types.vectorized_mobject import VMobject
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from manimlib.mobject.types.vectorized_mobject import VGroup
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from manimlib.utils.iterables import adjacent_pairs
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from manimlib.utils.iterables import remove_list_redundancies
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from manimlib.utils.tex_file_writing import tex_to_svg_file
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from manimlib.utils.tex_file_writing import get_tex_config
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from manimlib.utils.tex_file_writing import display_during_execution
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SCALE_FACTOR_PER_FONT_POINT = 0.001
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TEX_HASH_TO_MOB_MAP = {}
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def _contains(span_0, span_1):
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return span_0[0] <= span_1[0] and span_1[1] <= span_0[1]
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def _get_neighbouring_pairs(iterable):
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return list(adjacent_pairs(iterable))[:-1]
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class _PlainTex(SVGMobject):
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CONFIG = {
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"height": None,
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"path_string_config": {
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"should_subdivide_sharp_curves": True,
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"should_remove_null_curves": True,
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},
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}
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class _LabelledTex(_PlainTex):
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@staticmethod
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def color_str_to_label(color_str):
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if len(color_str) == 4:
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# "#RGB" => "#RRGGBB"
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color_str = "#" + "".join([c * 2 for c in color_str[1:]])
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return int(color_str[1:], 16)
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def get_mobjects_from(self, element):
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result = super().get_mobjects_from(element)
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for mob in result:
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if not hasattr(mob, "glyph_label"):
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mob.glyph_label = 0
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try:
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color_str = element.getAttribute("fill")
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if color_str:
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glyph_label = _LabelledTex.color_str_to_label(color_str)
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for mob in result:
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mob.glyph_label = glyph_label
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except:
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pass
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return result
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class _TexSpan(object):
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def __init__(self, script_type, label):
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# `script_type`: 0 for normal, 1 for subscript, 2 for superscript.
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# Only those spans with `script_type == 0` will be colored.
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self.script_type = script_type
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self.label = label
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self.containing_labels = []
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def __repr__(self):
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return "_TexSpan(" + ", ".join([
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attrib_name + "=" + str(getattr(self, attrib_name))
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for attrib_name in ["script_type", "label", "containing_labels"]
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]) + ")"
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class _TexParser(object):
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def __init__(self, mtex):
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self.tex_string = mtex.tex_string
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self.tex_spans_dict = {}
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self.current_label = 0
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self.add_tex_span((0, len(self.tex_string)))
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self.break_up_by_braces()
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self.break_up_by_scripts()
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self.break_up_by_additional_strings(mtex.strings_to_break_up)
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self.merge_unbreakable_commands(mtex.unbreakable_commands)
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self.analyse_containing_labels()
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@staticmethod
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def label_to_color_tuple(rgb):
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# Get a unique color different from black,
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# or the svg file will not include the color information.
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rg, b = divmod(rgb, 256)
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r, g = divmod(rg, 256)
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return r, g, b
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def add_tex_span(self, span_tuple, script_type=0, label=-1):
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if script_type == 0:
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# Should be additionally labelled.
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label = self.current_label
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self.current_label += 1
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tex_span = _TexSpan(script_type, label)
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self.tex_spans_dict[span_tuple] = tex_span
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def break_up_by_braces(self):
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tex_string = self.tex_string
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span_tuples = []
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left_brace_indices = []
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for match_obj in re.finditer(r"(\\*)(\{|\})", tex_string):
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# Braces following even numbers of backslashes are counted.
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if len(match_obj.group(1)) % 2 == 1:
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continue
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if match_obj.group(2) == "{":
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left_brace_index = match_obj.span(2)[0]
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left_brace_indices.append(left_brace_index)
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else:
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left_brace_index = left_brace_indices.pop()
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right_brace_index = match_obj.span(2)[1]
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span_tuples.append((left_brace_index, right_brace_index))
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if left_brace_indices:
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self.raise_tex_parsing_error()
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self.paired_braces_tuples = span_tuples
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for span_tuple in span_tuples:
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self.add_tex_span(span_tuple)
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def break_up_by_scripts(self):
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tex_string = self.tex_string
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brace_indices_dict = dict(self.tex_spans_dict.keys())
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for match_obj in re.finditer(r"((?<!\\)(_|\^)\s*)|(\s+(_|\^)\s*)", tex_string):
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script_type = 1 if "_" in match_obj.group() else 2
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token_begin, token_end = match_obj.span()
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if token_end in brace_indices_dict:
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content_span = (token_end, brace_indices_dict[token_end])
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else:
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content_match_obj = re.match(r"\w|\\[a-zA-Z]+", tex_string[token_end:])
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if not content_match_obj:
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self.raise_tex_parsing_error()
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content_span = tuple([
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index + token_end for index in content_match_obj.span()
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])
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self.add_tex_span(content_span)
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label = self.tex_spans_dict[content_span].label
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self.add_tex_span(
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(token_begin, content_span[1]),
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script_type=script_type,
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label=label
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)
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def break_up_by_additional_strings(self, strings_to_break_up):
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tex_string = self.tex_string
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all_span_tuples = []
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for string in strings_to_break_up:
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# Only matches non-crossing strings.
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for match_obj in re.finditer(re.escape(string), tex_string):
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all_span_tuples.append(match_obj.span())
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script_spans_dict = dict([
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span_tuple[::-1]
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for span_tuple, tex_span in self.tex_spans_dict.items()
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if tex_span.script_type != 0
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])
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for span_begin, span_end in all_span_tuples:
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if span_end in script_spans_dict.values():
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# Deconstruct spans with subscripts & superscripts.
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while span_end in script_spans_dict:
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span_end = script_spans_dict[span_end]
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if span_begin >= span_end:
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continue
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span_tuple = (span_begin, span_end)
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if span_tuple not in self.tex_spans_dict:
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self.add_tex_span(span_tuple)
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def merge_unbreakable_commands(self, unbreakable_commands):
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tex_string = self.tex_string
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command_merge_spans = []
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brace_indices_dict = dict(self.paired_braces_tuples)
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# Braces leading by `unbreakable_commands` shouldn't be marked.
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for command in unbreakable_commands:
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for match_obj in re.finditer(re.escape(command), tex_string):
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merge_begin_index = match_obj.span()[1]
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merge_end_index = merge_begin_index
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if merge_end_index not in brace_indices_dict:
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continue
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while merge_end_index in brace_indices_dict:
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merge_end_index = brace_indices_dict[merge_end_index]
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command_merge_spans.append((merge_begin_index, merge_end_index))
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self.tex_spans_dict = {
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span_tuple: tex_span
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for span_tuple, tex_span in self.tex_spans_dict.items()
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if all([
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not _contains(merge_span, span_tuple)
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for merge_span in command_merge_spans
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])
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}
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def analyse_containing_labels(self):
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for span_0, tex_span_0 in self.tex_spans_dict.items():
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if tex_span_0.script_type != 0:
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continue
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for span_1, tex_span_1 in self.tex_spans_dict.items():
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if _contains(span_1, span_0):
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tex_span_1.containing_labels.append(tex_span_0.label)
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def get_labelled_expression(self):
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tex_string = self.tex_string
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if not self.tex_spans_dict:
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return tex_string
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# Remove the span of extire tex string.
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indices_with_labels = sorted([
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(span_tuple[i], i, span_tuple[1 - i], tex_span.label)
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for span_tuple, tex_span in self.tex_spans_dict.items()
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if tex_span.script_type == 0
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for i in range(2)
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], key=lambda t: (t[0], -t[1], -t[2]))[1:]
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result = tex_string[: indices_with_labels[0][0]]
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index_with_label_pairs = _get_neighbouring_pairs(indices_with_labels)
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for index_with_label, next_index_with_label in index_with_label_pairs:
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index, flag, _, label = index_with_label
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next_index, *_ = next_index_with_label
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# Adding one more pair of braces will help maintain the glyghs of tex file...
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if flag == 0:
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color_tuple = _TexParser.label_to_color_tuple(label)
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result += "".join([
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"{{",
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"\\color[RGB]",
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"{",
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",".join(map(str, color_tuple)),
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"}"
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])
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else:
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result += "}}"
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result += tex_string[index : next_index]
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return result
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def raise_tex_parsing_error(self):
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raise ValueError(f"Failed to parse tex: \"{self.tex_string}\"")
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class MTex(VMobject):
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CONFIG = {
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"fill_opacity": 1.0,
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"stroke_width": 0,
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"font_size": 48,
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"alignment": "\\centering",
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"tex_environment": "align*",
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"isolate": [],
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"tex_to_color_map": {},
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"unbreakable_commands": ["\\begin", "\\end"],
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"generate_plain_tex_file": False,
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}
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def __init__(self, tex_string, **kwargs):
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super().__init__(**kwargs)
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tex_string = tex_string.strip()
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# Prevent from passing an empty string.
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if not tex_string:
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tex_string = " "
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self.tex_string = tex_string
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self.set_strings_to_break_up()
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self.generate_mobject()
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self.init_colors()
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self.set_color_by_tex_to_color_map(self.tex_to_color_map)
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scale_factor = SCALE_FACTOR_PER_FONT_POINT * self.font_size
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self.scale(scale_factor)
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def set_strings_to_break_up(self):
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strings_to_break_up = remove_list_redundancies([
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*self.isolate, *self.tex_to_color_map.keys()
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])
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if "" in strings_to_break_up:
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strings_to_break_up.remove("")
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self.strings_to_break_up = strings_to_break_up
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def generate_mobject(self):
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tex_parser = _TexParser(self)
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self.tex_spans_dict = tex_parser.tex_spans_dict
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plain_full_tex = self.get_tex_file_body(self.tex_string)
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plain_hash_val = hash(plain_full_tex)
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if plain_hash_val in TEX_HASH_TO_MOB_MAP:
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self.add(*TEX_HASH_TO_MOB_MAP[plain_hash_val].copy())
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return self
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labelled_expression = tex_parser.get_labelled_expression()
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full_tex = self.get_tex_file_body(labelled_expression)
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hash_val = hash(full_tex)
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if hash_val in TEX_HASH_TO_MOB_MAP and not self.generate_plain_tex_file:
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self.add(*TEX_HASH_TO_MOB_MAP[hash_val].copy())
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return self
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with display_during_execution(f"Writing \"{self.tex_string}\""):
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filename = tex_to_svg_file(full_tex)
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svg_mob = _LabelledTex(filename)
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self.add(*svg_mob.copy())
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self.build_submobjects()
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TEX_HASH_TO_MOB_MAP[hash_val] = self
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if not self.generate_plain_tex_file:
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return self
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with display_during_execution(f"Writing \"{self.tex_string}\""):
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filename = tex_to_svg_file(plain_full_tex)
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plain_svg_mob = _PlainTex(filename)
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svg_mob = TEX_HASH_TO_MOB_MAP[hash_val]
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for plain_submob, submob in zip(plain_svg_mob, svg_mob):
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plain_submob.glyph_label = submob.glyph_label
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self.add(*plain_svg_mob.copy())
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self.build_submobjects()
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TEX_HASH_TO_MOB_MAP[plain_hash_val] = self
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return self
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def get_tex_file_body(self, new_tex):
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if self.tex_environment:
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new_tex = "\n".join([
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f"\\begin{{{self.tex_environment}}}",
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new_tex,
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f"\\end{{{self.tex_environment}}}"
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])
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if self.alignment:
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new_tex = "\n".join([self.alignment, new_tex])
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tex_config = get_tex_config()
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return tex_config["tex_body"].replace(
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tex_config["text_to_replace"],
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new_tex
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)
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def build_submobjects(self):
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if not self.submobjects:
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return
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self.group_submobjects()
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self.sort_scripts_in_tex_order()
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self.assign_submob_tex_strings()
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def group_submobjects(self):
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# Simply pack together adjacent mobjects with the same label.
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new_submobjects = []
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def append_new_submobject(glyphs):
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if glyphs:
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submobject = VGroup(*glyphs)
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submobject.submob_label = glyphs[0].glyph_label
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new_submobjects.append(submobject)
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new_glyphs = []
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current_glyph_label = 0
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for submob in self.submobjects:
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if submob.glyph_label == current_glyph_label:
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new_glyphs.append(submob)
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else:
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append_new_submobject(new_glyphs)
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new_glyphs = [submob]
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current_glyph_label = submob.glyph_label
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append_new_submobject(new_glyphs)
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self.set_submobjects(new_submobjects)
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def sort_scripts_in_tex_order(self):
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# LaTeX always puts superscripts before subscripts.
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# This function sorts the submobjects of scripts in the order of tex given.
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index_and_span_list = sorted([
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(index, span_tuple)
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for span_tuple, tex_span in self.tex_spans_dict.items()
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if tex_span.script_type != 0
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for index in span_tuple
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])
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index_and_span_pairs = _get_neighbouring_pairs(index_and_span_list)
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switch_range_pairs = []
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for index_and_span_0, index_and_span_1 in index_and_span_pairs:
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index_0, span_tuple_0 = index_and_span_0
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index_1, span_tuple_1 = index_and_span_1
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if index_0 != index_1:
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continue
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if not all([
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self.tex_spans_dict[span_tuple_0].script_type == 1,
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self.tex_spans_dict[span_tuple_1].script_type == 2
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]):
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continue
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submob_range_0 = self.range_of_part(
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self.get_part_by_span_tuples([span_tuple_0])
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)
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submob_range_1 = self.range_of_part(
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self.get_part_by_span_tuples([span_tuple_1])
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)
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switch_range_pairs.append((submob_range_0, submob_range_1))
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switch_range_pairs.sort(key=lambda pair: (pair[0].stop, -pair[0].start))
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indices = list(range(len(self.submobjects)))
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for submob_range_0, submob_range_1 in switch_range_pairs:
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indices = [
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*indices[: submob_range_1.start],
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*indices[submob_range_0.start : submob_range_0.stop],
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*indices[submob_range_1.stop : submob_range_0.start],
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*indices[submob_range_1.start : submob_range_1.stop],
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*indices[submob_range_0.stop :]
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]
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submobs = self.submobjects
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self.set_submobjects([submobs[i] for i in indices])
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def assign_submob_tex_strings(self):
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# Not sure whether this is the best practice...
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# This temporarily supports `TransformMatchingTex`.
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tex_string = self.tex_string
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# Use tex strings including "_", "^".
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label_dict = {}
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for span_tuple, tex_span in self.tex_spans_dict.items():
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if tex_span.script_type != 0:
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label_dict[tex_span.label] = span_tuple
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else:
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if tex_span.label not in label_dict:
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label_dict[tex_span.label] = span_tuple
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curr_labels = [submob.submob_label for submob in self.submobjects]
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prev_labels = [curr_labels[-1], *curr_labels[:-1]]
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next_labels = [*curr_labels[1:], curr_labels[0]]
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tex_string_spans = []
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for curr_label, prev_label, next_label in zip(
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curr_labels, prev_labels, next_labels
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):
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curr_span_tuple = label_dict[curr_label]
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prev_span_tuple = label_dict[prev_label]
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next_span_tuple = label_dict[next_label]
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containing_labels = self.tex_spans_dict[curr_span_tuple].containing_labels
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tex_string_spans.append([
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prev_span_tuple[1] if prev_label in containing_labels else curr_span_tuple[0],
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next_span_tuple[0] if next_label in containing_labels else curr_span_tuple[1]
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])
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tex_string_spans[0][0] = label_dict[curr_labels[0]][0]
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tex_string_spans[-1][1] = label_dict[curr_labels[-1]][1]
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for submob, tex_string_span in zip(self.submobjects, tex_string_spans):
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submob.tex_string = tex_string[slice(*tex_string_span)]
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# Support `get_tex()` method here.
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submob.get_tex = MethodType(lambda inst: inst.tex_string, submob)
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def get_part_by_span_tuples(self, span_tuples):
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labels = remove_list_redundancies(list(it.chain(*[
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self.tex_spans_dict[span_tuple].containing_labels
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for span_tuple in span_tuples
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])))
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return VGroup(*filter(
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lambda submob: submob.submob_label in labels,
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self.submobjects
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))
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def find_span_components_of_custom_span(self, custom_span_tuple, partial_result=[]):
|
|
span_begin, span_end = custom_span_tuple
|
|
if span_begin == span_end:
|
|
return partial_result
|
|
next_begin_choices = sorted([
|
|
span_tuple[1]
|
|
for span_tuple in self.tex_spans_dict.keys()
|
|
if span_tuple[0] == span_begin and span_tuple[1] <= span_end
|
|
], reverse=True)
|
|
for next_begin in next_begin_choices:
|
|
result = self.find_span_components_of_custom_span(
|
|
(next_begin, span_end), [*partial_result, (span_begin, next_begin)]
|
|
)
|
|
if result is not None:
|
|
return result
|
|
return None
|
|
|
|
def get_part_by_custom_span_tuple(self, custom_span_tuple):
|
|
span_tuples = self.find_span_components_of_custom_span(custom_span_tuple)
|
|
if span_tuples is None:
|
|
tex = self.tex_string[slice(*custom_span_tuple)]
|
|
raise ValueError(f"Failed to get span of tex: \"{tex}\"")
|
|
return self.get_part_by_span_tuples(span_tuples)
|
|
|
|
def get_parts_by_tex(self, tex):
|
|
return VGroup(*[
|
|
self.get_part_by_custom_span_tuple(match_obj.span())
|
|
for match_obj in re.finditer(re.escape(tex), self.tex_string)
|
|
])
|
|
|
|
def get_part_by_tex(self, tex, index=0):
|
|
all_parts = self.get_parts_by_tex(tex)
|
|
return all_parts[index]
|
|
|
|
def set_color_by_tex(self, tex, color):
|
|
self.get_parts_by_tex(tex).set_color(color)
|
|
return self
|
|
|
|
def set_color_by_tex_to_color_map(self, tex_to_color_map):
|
|
for tex, color in list(tex_to_color_map.items()):
|
|
try:
|
|
self.set_color_by_tex(tex, color)
|
|
except:
|
|
pass
|
|
return self
|
|
|
|
def indices_of_part(self, part):
|
|
indices = [
|
|
i for i, submob in enumerate(self.submobjects)
|
|
if submob in part
|
|
]
|
|
if not indices:
|
|
raise ValueError("Failed to find part in tex")
|
|
return indices
|
|
|
|
def indices_of_part_by_tex(self, tex, index=0):
|
|
part = self.get_part_by_tex(tex, index=index)
|
|
return self.indices_of_part(part)
|
|
|
|
def range_of_part(self, part):
|
|
indices = self.indices_of_part(part)
|
|
return range(indices[0], indices[-1] + 1)
|
|
|
|
def range_of_part_by_tex(self, tex, index=0):
|
|
part = self.get_part_by_tex(tex, index=index)
|
|
return self.range_of_part(part)
|
|
|
|
def index_of_part(self, part):
|
|
return self.indices_of_part(part)[0]
|
|
|
|
def index_of_part_by_tex(self, tex, index=0):
|
|
part = self.get_part_by_tex(tex, index=index)
|
|
return self.index_of_part(part)
|
|
|
|
def get_tex(self):
|
|
return self.tex_string
|
|
|
|
def get_all_isolated_substrings(self):
|
|
tex_string = self.tex_string
|
|
return remove_list_redundancies([
|
|
tex_string[slice(*span_tuple)]
|
|
for span_tuple in self.tex_spans_dict.keys()
|
|
])
|
|
|
|
def print_tex_strings_of_submobjects(self):
|
|
# For debugging
|
|
# Work with `index_labels()`
|
|
print("\n")
|
|
print(f"Submobjects of \"{self.get_tex()}\":")
|
|
for i, submob in enumerate(self.submobjects):
|
|
print(f"{i}: \"{submob.get_tex()}\"")
|
|
print("\n")
|
|
|
|
|
|
class MTexText(MTex):
|
|
CONFIG = {
|
|
"tex_environment": None,
|
|
}
|