3b1b-manim/manimlib/mobject/svg/tex_mobject.py

from functools import reduce
import operator as op
import re
import itertools as it

from manimlib.constants import *
from manimlib.mobject.geometry import Line
from manimlib.mobject.svg.svg_mobject import SVGMobject
from manimlib.mobject.types.vectorized_mobject import VMobject
from manimlib.mobject.types.vectorized_mobject import VGroup
from manimlib.utils.config_ops import digest_config
from manimlib.utils.tex_file_writing import tex_to_svg_file
from manimlib.utils.tex_file_writing import get_tex_config
from manimlib.utils.tex_file_writing import display_during_execution


SCALE_FACTOR_PER_FONT_POINT = 0.001


tex_string_to_mob_map = {}


class SingleStringTex(VMobject):
    CONFIG = {
        "fill_opacity": 1.0,
        "stroke_width": 0,
        "should_center": True,
        "font_size": 48,
        "height": None,
        "organize_left_to_right": False,
        "alignment": "\\centering",
        "math_mode": True,
    }

    def __init__(self, tex_string, **kwargs):
        super().__init__(**kwargs)
        assert(isinstance(tex_string, str))
        self.tex_string = tex_string
        if tex_string not in tex_string_to_mob_map:
            full_tex = self.get_tex_file_body(tex_string)
            filename = tex_to_svg_file(full_tex)
            svg_mob = SVGMobject(
                filename,
                height=None,
                path_string_config={
                    "should_subdivide_sharp_curves": True,
                    "should_remove_null_curves": True,
                }
            )
            tex_string_to_mob_map[tex_string] = svg_mob

        self.add(*(
            sm.copy()
            for sm in tex_string_to_mob_map[tex_string]
        ))
        self.init_colors()

        if self.height is None:
            self.scale(SCALE_FACTOR_PER_FONT_POINT * self.font_size)
        if self.organize_left_to_right:
            self.organize_submobjects_left_to_right()

    def get_tex_file_body(self, tex_string):
        new_tex = self.get_modified_expression(tex_string)
        if self.math_mode:
            new_tex = "\\begin{align*}\n" + new_tex + "\n\\end{align*}"

        tex_config = get_tex_config()
        return tex_config["tex_body"].replace(
            tex_config["text_to_replace"],
            new_tex
        )

    def get_modified_expression(self, tex_string):
        result = self.alignment + " " + tex_string
        result = result.strip()
        result = self.modify_special_strings(result)
        return result

    def modify_special_strings(self, tex):
        tex = tex.strip()
        should_add_filler = reduce(op.or_, [
            # Fraction line needs something to be over
            tex == "\\over",
            tex == "\\overline",
            # Makesure sqrt has overbar
            tex == "\\sqrt",
            tex == "\\sqrt{",
            # Need to add blank subscript or superscript
            tex.endswith("_"),
            tex.endswith("^"),
            tex.endswith("dot"),
        ])
        if should_add_filler:
            filler = "{\\quad}"
            tex += filler

        if tex == "\\substack":
            tex = "\\quad"

        if tex == "":
            tex = "\\quad"

        # To keep files from starting with a line break
        if tex.startswith("\\\\"):
            tex = tex.replace("\\\\", "\\quad\\\\")

        tex = self.balance_braces(tex)

        # Handle imbalanced \left and \right
        num_lefts, num_rights = [
            len([
                s for s in tex.split(substr)[1:]
                if s and s[0] in "(){}[]|.\\"
            ])
            for substr in ("\\left", "\\right")
        ]
        if num_lefts != num_rights:
            tex = tex.replace("\\left", "\\big")
            tex = tex.replace("\\right", "\\big")

        for context in ["array"]:
            begin_in = ("\\begin{%s}" % context) in tex
            end_in = ("\\end{%s}" % context) in tex
            if begin_in ^ end_in:
                # Just turn this into a blank string,
                # which means caller should leave a
                # stray \\begin{...} with other symbols
                tex = ""
        return tex

    def balance_braces(self, tex):
        """
        Makes Tex resiliant to unmatched { at start
        """
        num_lefts, num_rights = [tex.count(char) for char in "{}"]
        while num_rights > num_lefts:
            tex = "{" + tex
            num_lefts += 1
        while num_lefts > num_rights:
            tex = tex + "}"
            num_rights += 1
        return tex

    def get_tex(self):
        return self.tex_string

    def organize_submobjects_left_to_right(self):
        self.sort(lambda p: p[0])
        return self


class Tex(SingleStringTex):
    CONFIG = {
        "arg_separator": " ",
        # Note, use of isolate is largely rendered
        # moot by the fact that you can surround such strings in
        # {{ and }} as needed.
        "isolate": [],
        "tex_to_color_map": {},
    }

    def __init__(self, *tex_strings, **kwargs):
        digest_config(self, kwargs)
        self.tex_strings = self.break_up_tex_strings(tex_strings)
        full_string = self.arg_separator.join(self.tex_strings)
        with display_during_execution(f" Writing \"{full_string}\""):
            super().__init__(full_string, **kwargs)
            self.break_up_by_substrings()
            self.set_color_by_tex_to_color_map(self.tex_to_color_map)

            if self.organize_left_to_right:
                self.organize_submobjects_left_to_right()

    def break_up_tex_strings(self, tex_strings):
        # Separate out anything surrounded in double braces
        patterns = ["{{", "}}"]
        # Separate out any strings specified in the isolate
        # or tex_to_color_map lists.
        patterns.extend([
            "({})".format(re.escape(ss))
            for ss in it.chain(self.isolate, self.tex_to_color_map.keys())
        ])
        pattern = "|".join(patterns)
        pieces = []
        for s in tex_strings:
            pieces.extend(re.split(pattern, s))
        return list(filter(lambda s: s, pieces))

    def break_up_by_substrings(self):
        """
        Reorganize existing submojects one layer
        deeper based on the structure of tex_strings (as a list
        of tex_strings)
        """
        if len(self.tex_strings) == 1:
            submob = self.copy()
            self.set_submobjects([submob])
            return self
        new_submobjects = []
        curr_index = 0
        config = dict(self.CONFIG)
        config["alignment"] = ""
        for tex_string in self.tex_strings:
            tex_string = tex_string.strip()
            if len(tex_string) == 0:
                continue
            sub_tex_mob = SingleStringTex(tex_string, **config)
            num_submobs = len(sub_tex_mob)
            if num_submobs == 0:
                continue
            new_index = curr_index + num_submobs
            sub_tex_mob.set_submobjects(self[curr_index:new_index])
            new_submobjects.append(sub_tex_mob)
            curr_index = new_index
        self.set_submobjects(new_submobjects)
        return self

    def get_parts_by_tex(self, tex, substring=True, case_sensitive=True):
        def test(tex1, tex2):
            if not case_sensitive:
                tex1 = tex1.lower()
                tex2 = tex2.lower()
            if substring:
                return tex1 in tex2
            else:
                return tex1 == tex2

        return VGroup(*filter(
            lambda m: isinstance(m, SingleStringTex) and test(tex, m.get_tex()),
            self.submobjects
        ))

    def get_part_by_tex(self, tex, **kwargs):
        all_parts = self.get_parts_by_tex(tex, **kwargs)
        return all_parts[0] if all_parts else None

    def set_color_by_tex(self, tex, color, **kwargs):
        self.get_parts_by_tex(tex, **kwargs).set_color(color)
        return self

    def set_color_by_tex_to_color_map(self, tex_to_color_map, **kwargs):
        for tex, color in list(tex_to_color_map.items()):
            self.set_color_by_tex(tex, color, **kwargs)
        return self

    def index_of_part(self, part, start=0):
        return self.submobjects.index(part, start)

    def index_of_part_by_tex(self, tex, start=0, **kwargs):
        part = self.get_part_by_tex(tex, **kwargs)
        return self.index_of_part(part, start)

    def slice_by_tex(self, start_tex=None, stop_tex=None, **kwargs):
        if start_tex is None:
            start_index = 0
        else:
            start_index = self.index_of_part_by_tex(start_tex, **kwargs)

        if stop_tex is None:
            return self[start_index:]
        else:
            stop_index = self.index_of_part_by_tex(stop_tex, start=start_index, **kwargs)
            return self[start_index:stop_index]

    def sort_alphabetically(self):
        self.submobjects.sort(key=lambda m: m.get_tex())

    def set_bstroke(self, color=BLACK, width=4):
        self.set_stroke(color, width, background=True)
        return self


class TexText(Tex):
    CONFIG = {
        "math_mode": False,
        "arg_separator": "",
    }


class BulletedList(TexText):
    CONFIG = {
        "buff": MED_LARGE_BUFF,
        "dot_scale_factor": 2,
        "alignment": "",
    }

    def __init__(self, *items, **kwargs):
        line_separated_items = [s + "\\\\" for s in items]
        TexText.__init__(self, *line_separated_items, **kwargs)
        for part in self:
            dot = Tex("\\cdot").scale(self.dot_scale_factor)
            dot.next_to(part[0], LEFT, SMALL_BUFF)
            part.add_to_back(dot)
        self.arrange(
            DOWN,
            aligned_edge=LEFT,
            buff=self.buff
        )

    def fade_all_but(self, index_or_string, opacity=0.5):
        arg = index_or_string
        if isinstance(arg, str):
            part = self.get_part_by_tex(arg)
        elif isinstance(arg, int):
            part = self.submobjects[arg]
        else:
            raise Exception("Expected int or string, got {0}".format(arg))
        for other_part in self.submobjects:
            if other_part is part:
                other_part.set_fill(opacity=1)
            else:
                other_part.set_fill(opacity=opacity)


class TexFromPresetString(Tex):
    CONFIG = {
        # To be filled by subclasses
        "tex": None,
        "color": None,
    }

    def __init__(self, **kwargs):
        digest_config(self, kwargs)
        Tex.__init__(self, self.tex, **kwargs)
        self.set_color(self.color)


class Title(TexText):
    CONFIG = {
        "scale_factor": 1,
        "include_underline": True,
        "underline_width": FRAME_WIDTH - 2,
        # This will override underline_width
        "match_underline_width_to_text": False,
        "underline_buff": MED_SMALL_BUFF,
    }

    def __init__(self, *text_parts, **kwargs):
        TexText.__init__(self, *text_parts, **kwargs)
        self.scale(self.scale_factor)
        self.to_edge(UP)
        if self.include_underline:
            underline = Line(LEFT, RIGHT)
            underline.next_to(self, DOWN, buff=self.underline_buff)
            if self.match_underline_width_to_text:
                underline.match_width(self)
            else:
                underline.set_width(self.underline_width)
            self.add(underline)
            self.underline = underline