| |
| Rendering Text and Formulas |
| |
|
|
| There are two different ways by which you can render **Text** in videos: |
|
|
| 1. Using Pango (:mod:`~.text_mobject`) |
| 2. Using LaTeX (:mod:`~.tex_mobject`) |
|
|
| If you want to render simple text, you should use either :class:`~.Text` or |
| :class:`~.MarkupText`, or one of its derivatives like :class:`~.Paragraph`. |
| See :ref:`using-text-objects` for more information. |
|
|
| LaTeX should be used when you need mathematical typesetting. See |
| :ref:`rendering-with-latex` for more information. |
|
|
| .. _using-text-objects: |
|
|
| Text Without LaTeX |
| ****************** |
|
|
| The simplest way to add text to your animations is to use the :class:`~.Text` |
| class. It uses the `Pango library`_ to render text. With Pango, you can also |
| render non-English alphabets like 你好 or こんにちは or 안녕하세요 or |
| مرحبا بالعالم. |
|
|
| Here is a simple *Hello World* animation. |
|
|
| .. manim:: HelloWorld |
| :save_last_frame: |
| :ref_classes: Text |
|
|
| class HelloWorld(Scene): |
| def construct(self): |
| text = Text("Hello world", font_size=144) |
| self.add(text) |
|
|
| You can also use :class:`~.MarkupText` which allows the use of PangoMarkup |
| (see the documentation of :class:`~.MarkupText` for details) to render text. |
| For example: |
|
|
| .. manim:: SingleLineColor |
| :save_last_frame: |
| :ref_classes: MarkupText |
|
|
| class SingleLineColor(Scene): |
| def construct(self): |
| text = MarkupText( |
| f'all in red <span fgcolor="{YELLOW}">except this</span>', color=RED |
| ) |
| self.add(text) |
|
|
| .. _Pango library: https://pango.org |
|
|
| Working with :class:`~.Text` |
| ============================ |
|
|
| This section explains the properties of :class:`~.Text` and how can it be used |
| in your animations. |
|
|
| Using Fonts |
| ----------- |
|
|
| You can set a different font using :attr:`~.Text.font`. |
|
|
| .. note:: |
|
|
| The font used must be installed in your system, and Pango should know |
| about it. You can get a list of fonts using :func:`manimpango.list_fonts`. |
|
|
| >>> import manimpango |
| >>> manimpango.list_fonts() |
| [...] |
|
|
|
|
| .. manim:: FontsExample |
| :save_last_frame: |
|
|
| class FontsExample(Scene): |
| def construct(self): |
| ft = Text("Noto Sans", font="Noto Sans") |
| self.add(ft) |
|
|
| Setting Slant and Weight |
| ------------------------ |
| Slant is the style of the Text, and it can be ``NORMAL`` (the default), |
| ``ITALIC`` or ``OBLIQUE``. Usually, for many fonts both ``ITALIC`` and |
| ``OBLIQUE`` look similar, but ``ITALIC`` uses **Roman Style**, whereas |
| ``OBLIQUE`` uses **Italic Style**. |
|
|
| Weight specifies the boldness of a font. You can see a list of weights in |
| :class:`manimpango.Weight`. |
|
|
| .. manim:: SlantsExample |
| :save_last_frame: |
|
|
| class SlantsExample(Scene): |
| def construct(self): |
| a = Text("Italic", slant=ITALIC) |
| self.add(a) |
|
|
| .. manim:: DifferentWeight |
| :save_last_frame: |
|
|
| class DifferentWeight(Scene): |
| def construct(self): |
| import manimpango |
|
|
| g = VGroup() |
| weight_list = dict( |
| sorted( |
| { |
| weight: manimpango.Weight(weight).value |
| for weight in manimpango.Weight |
| }.items(), |
| key=lambda x: x[1], |
| ) |
| ) |
| for weight in weight_list: |
| g += Text(weight.name, weight=weight.name, font="Open Sans") |
| self.add(g.arrange(DOWN).scale(0.5)) |
|
|
| .. _using-colors: |
|
|
| Using Colors |
| ------------ |
|
|
| You can set the color of the text using :attr:`~.Text.color`: |
|
|
| .. manim:: SimpleColor |
| :save_last_frame: |
|
|
| class SimpleColor(Scene): |
| def construct(self): |
| col = Text("RED COLOR", color=RED) |
| self.add(col) |
|
|
| You can use utilities like :attr:`~.Text.t2c` for coloring specific characters. |
| This may be problematic if your text contains ligatures |
| as explained in :ref:`iterating-text`. |
|
|
| :attr:`~Text.t2c` accepts two types of dictionaries, |
|
|
| * The keys can contain indices like ``[2:-1]`` or ``[4:8]``, |
| this works similar to how `slicing <https://realpython.com/python-strings/ |
| works in Python. The values should be the color of the Text from :class:`~.Color`. |
|
|
|
|
| * The keys contain words or characters which should be colored separately |
| and the values should be the color from :class:`~.Color`: |
|
|
| .. manim:: Textt2cExample |
| :save_last_frame: |
|
|
| class Textt2cExample(Scene): |
| def construct(self): |
| t2cindices = Text('Hello', t2c={'[1:-1]': BLUE}).move_to(LEFT) |
| t2cwords = Text('World',t2c={'rl':RED}).next_to(t2cindices, RIGHT) |
| self.add(t2cindices, t2cwords) |
|
|
| If you want to avoid problems when using colors (due to ligatures), consider using |
| :class:`MarkupText`. |
|
|
|
|
| Using Gradients |
| --------------- |
|
|
| You can add a gradient using :attr:`~.Text.gradient`. The value must |
| be an iterable of any length: |
|
|
| .. manim:: GradientExample |
| :save_last_frame: |
|
|
| class GradientExample(Scene): |
| def construct(self): |
| t = Text("Hello", gradient=(RED, BLUE, GREEN), font_size=96) |
| self.add(t) |
|
|
| You can also use :attr:`~.Text.t2g` for gradients with specific |
| characters of the text. It shares a similar syntax to :ref:`the |
| interface for colors <using-colors>`: |
|
|
| .. manim:: t2gExample |
| :save_last_frame: |
|
|
| class t2gExample(Scene): |
| def construct(self): |
| t2gindices = Text( |
| 'Hello', |
| t2g={ |
| '[1:-1]': (RED,GREEN), |
| }, |
| ).move_to(LEFT) |
| t2gwords = Text( |
| 'World', |
| t2g={ |
| 'World':(RED,BLUE), |
| }, |
| ).next_to(t2gindices, RIGHT) |
| self.add(t2gindices, t2gwords) |
|
|
| Setting Line Spacing |
| -------------------- |
|
|
| You can set the line spacing using :attr:`~.Text.line_spacing`: |
|
|
| .. manim:: LineSpacing |
| :save_last_frame: |
|
|
| class LineSpacing(Scene): |
| def construct(self): |
| a = Text("Hello\nWorld", line_spacing=1) |
| b = Text("Hello\nWorld", line_spacing=4) |
| self.add(Group(a,b).arrange(LEFT, buff=5)) |
|
|
|
|
| .. _disable-ligatures: |
|
|
| Disabling Ligatures |
| ------------------- |
|
|
| By disabling ligatures you would get a one-to-one mapping between characters and |
| submobjects. This fixes the issues with coloring text. |
|
|
|
|
| .. warning:: |
|
|
| Be aware that using this method with text that heavily depends on |
| ligatures (Arabic text) may yield unexpected results. |
|
|
| You can disable ligatures by passing ``disable_ligatures`` to |
| :class:`Text`. For example: |
|
|
| .. manim:: DisableLigature |
| :save_last_frame: |
|
|
| class DisableLigature(Scene): |
| def construct(self): |
| li = Text("fl ligature",font_size=96) |
| nli = Text("fl ligature", disable_ligatures=True, font_size=96) |
| self.add(Group(li, nli).arrange(DOWN, buff=.8)) |
|
|
| .. _iterating-text: |
|
|
| Iterating :class:`~.Text` |
| ------------------------- |
|
|
| Text objects behave like :class:`VGroups <.VGroup>`. Therefore, you can slice and index |
| the text. |
|
|
| For example, you can set each letter to different color by iterating it. |
|
|
| .. manim:: IterateColor |
| :save_last_frame: |
|
|
| class IterateColor(Scene): |
| def construct(self): |
| text = Text("Colors", font_size=96) |
| for letter in text: |
| letter.set_color(random_bright_color()) |
| self.add(text) |
|
|
| .. warning:: |
|
|
| Please note that `Ligature`_ can cause problems here. If you need a |
| one-to-one mapping of characters to submobjects you should pass |
| the ``disable_ligatures`` parameter to :class:`~.Text`. |
| See :ref:`disable-ligatures`. |
|
|
| .. _Ligature: https://en.wikipedia.org/wiki/Ligature_(writing) |
|
|
| Working with :class:`~.MarkupText` |
| ================================== |
|
|
| MarkupText is similar to :class:`~.Text`, the only difference between them is |
| that this accepts and processes PangoMarkup (which is similar to |
| html), instead of just rendering plain text. |
|
|
| Consult the documentation of :class:`~.MarkupText` for more details |
| and further references about PangoMarkup. |
|
|
| .. manim:: MarkupTest |
| :save_last_frame: |
|
|
| class MarkupTest(Scene): |
| def construct(self): |
| text = MarkupText( |
| f'<span underline="double" underline_color="green">double green underline</span> in red text<span fgcolor="{YELLOW}"> except this</span>', |
| color=RED, |
| font_size=34 |
| ) |
| self.add(text) |
|
|
| .. _rendering-with-latex: |
|
|
| Text With LaTeX |
| *************** |
|
|
| Just as you can use :class:`~.Text` to add text to your videos, you can |
| use :class:`~.Tex` to insert LaTeX. |
|
|
| For example, |
|
|
| .. manim:: HelloLaTeX |
| :save_last_frame: |
|
|
| class HelloLaTeX(Scene): |
| def construct(self): |
| tex = Tex(r"\LaTeX", font_size=144) |
| self.add(tex) |
|
|
| .. note:: |
|
|
| Note that we are using a raw string (``r'...'``) instead of a regular string (``'...'``). |
| This is because TeX code uses a lot of special characters - like ``\`` for example - that |
| have special meaning within a regular python string. An alternative would have been to |
| write ``\\`` to escape the backslash: ``Tex('\\LaTeX')``. |
|
|
| Working with :class:`~.MathTex` |
| =============================== |
|
|
| Everything passed to :class:`~.MathTex` is in math mode by default. To be more precise, |
| :class:`~.MathTex` is processed within an ``align*`` environment. You can achieve a |
| similar effect with :class:`~.Tex` by enclosing your formula with ``$`` symbols: |
| ``$\xrightarrow{x^6y^8}$``: |
|
|
| .. manim:: MathTeXDemo |
| :save_last_frame: |
|
|
| class MathTeXDemo(Scene): |
| def construct(self): |
| rtarrow0 = MathTex(r"\xrightarrow{x^6y^8}", font_size=96) |
| rtarrow1 = Tex(r"$\xrightarrow{x^6y^8}$", font_size=96) |
|
|
| self.add(VGroup(rtarrow0, rtarrow1).arrange(DOWN)) |
|
|
|
|
| LaTeX commands and keyword arguments |
| ==================================== |
|
|
| We can use any standard LaTeX commands in the AMS maths packages. Such |
| as the ``mathtt`` math-text type or the ``looparrowright`` arrow. |
|
|
| .. manim:: AMSLaTeX |
| :save_last_frame: |
|
|
| class AMSLaTeX(Scene): |
| def construct(self): |
| tex = Tex(r'$\mathtt{H} \looparrowright$ \LaTeX', font_size=144) |
| self.add(tex) |
|
|
| On the Manim side, the :class:`~.Tex` class also accepts attributes to |
| change the appearance of the output. This is very similar to the |
| :class:`~.Text` class. For example, the ``color`` keyword changes the |
| color of the TeX mobject. |
|
|
| .. manim:: LaTeXAttributes |
| :save_last_frame: |
|
|
| class LaTeXAttributes(Scene): |
| def construct(self): |
| tex = Tex(r'Hello \LaTeX', color=BLUE, font_size=144) |
| self.add(tex) |
|
|
| Extra LaTeX Packages |
| ==================== |
|
|
| Some commands require special packages to be loaded into the TeX template. |
| For example, to use the ``mathscr`` script, we need to add the ``mathrsfs`` |
| package. Since this package isn't loaded into Manim's tex template by default, |
| we have to add it manually. |
|
|
| .. manim:: AddPackageLatex |
| :save_last_frame: |
|
|
| class AddPackageLatex(Scene): |
| def construct(self): |
| myTemplate = TexTemplate() |
| myTemplate.add_to_preamble(r"\usepackage{mathrsfs}") |
| tex = Tex( |
| r"$\mathscr{H} \rightarrow \mathbb{H}$", |
| tex_template=myTemplate, |
| font_size=144, |
| ) |
| self.add(tex) |
|
|
| Substrings and parts |
| ==================== |
|
|
| The TeX mobject can accept multiple strings as arguments. Afterwards you can |
| refer to the individual parts either by their index (like ``tex[1]``), or by |
| using :func:`~.set_color_by_tex`, which matches the argument exactly against |
| the strings passed to the constructor. In this example, we color the |
| ``\bigstar`` part: |
|
|
| .. manim:: LaTeXSubstrings |
| :save_last_frame: |
|
|
| class LaTeXSubstrings(Scene): |
| def construct(self): |
| tex = Tex('Hello', r'$\bigstar$', r'\LaTeX', font_size=144) |
| tex.set_color_by_tex(r'$\bigstar$', RED) |
| self.add(tex) |
|
|
| Because :func:`~.set_color_by_tex` requires an exact match, it cannot directly |
| target a token inside a string that was passed as a single argument. To color |
| every ``x`` in a formula, use ``substrings_to_isolate`` to split the string at |
| each occurrence first: |
|
|
| .. manim:: CorrectLaTeXSubstringColoring |
| :save_last_frame: |
|
|
| class CorrectLaTeXSubstringColoring(Scene): |
| def construct(self): |
| equation = MathTex( |
| r"e^{x} = x^0 + x^1 + \frac{1}{2} x^2 + \frac{1}{6} x^3 + \cdots + \frac{1}{n!} x^n + \cdots", |
| substrings_to_isolate="x" |
| ) |
| equation.set_color_by_tex("x", YELLOW) |
| self.add(equation) |
|
|
| Each isolated occurrence of ``x`` becomes its own sub-mobject that |
| :meth:`~.set_color_by_tex` can match exactly. |
| If one of the ``substrings_to_isolate`` is in a sub or superscript, it needs |
| to be enclosed by curly brackets. |
|
|
| Note that Manim also supports a custom syntax that allows splitting |
| a TeX string into substrings easily: simply enclose parts of your formula |
| that you want to isolate with double braces. In the string |
| ``MathTex(r"{{ a^2 }} + {{ b^2 }} = {{ c^2 }}")``, the rendered mobject |
| will consist of the substrings ``a^2``, ``+``, ``b^2``, ``=``, and ``c^2``. |
| This makes transformations between similar text fragments easy |
| to write using :class:`~.TransformMatchingTex`. |
|
|
| For Manim to recognise a ``{{`` as a group opener, it must appear either |
| at the very start of the string or be immediately preceded by a whitespace |
| character. This means that ``{{`` embedded directly after non-whitespace |
| LaTeX — such as ``\frac{{{n}}}{k}`` or ``a^{{2}}`` — is left untouched, |
| which prevents accidental splitting of ordinary nested-brace expressions. |
| To stop a leading ``{{`` from being treated as a group opener, insert a |
| space between the two braces: ``{{ ... }}`` → ``{ { ... } }``. |
|
|
| Using ``index_labels`` to work with complicated strings |
| ======================================================= |
|
|
| You might sometimes be working with a very complicated :class:`~.MathTex` mobject |
| that makes it difficult to work with its individual components. This is |
| where the debugging function :func:`.index_labels` is very useful. |
|
|
| The method shows the index of a mobject's submobjects, allowing you |
| to easily find the components of the mobject you would like to change. |
| |
| .. manim:: IndexLabelsMathTex |
| :save_last_frame: |
| |
| class IndexLabelsMathTex(Scene): |
| def construct(self): |
| text = MathTex(r"\binom{2n}{n+2}", font_size=96) |
| |
| # index the first (and only) term of the MathTex mob |
| self.add(index_labels(text[0])) |
| |
| text[0][1:3].set_color(YELLOW) |
| text[0][3:6].set_color(RED) |
| self.add(text) |
| |
| |
| LaTeX Maths Fonts - The Template Library |
| ======================================== |
| |
| Changing fonts in LaTeX when typesetting mathematical formulae is |
| trickier than regular text. It requires changing the template that is used |
| to compile the TeX. Manim comes with a collection of :class:`~.TexFontTemplates` |
| ready for you to use. These templates will all work in math mode: |
| |
| .. manim:: LaTeXMathFonts |
| :save_last_frame: |
| |
| class LaTeXMathFonts(Scene): |
| def construct(self): |
| tex = Tex( |
| r"$x^2 + y^2 = z^2$", |
| tex_template=TexFontTemplates.french_cursive, |
| font_size=144, |
| ) |
| self.add(tex) |
| |
| Manim also has a :class:`~.TexTemplateLibrary` containing the TeX |
| templates used by 3Blue1Brown. One example is the ctex template, |
| used for typesetting Chinese script. For this to work, the ctex LaTeX package |
| must be installed on your system. Furthermore, if you are only |
| typesetting Text, you probably do not need :class:`~.Tex` at all, and |
| should use :class:`~.Text` instead. |
| |
| .. manim:: LaTeXTemplateLibrary |
| :save_last_frame: |
| |
| class LaTeXTemplateLibrary(Scene): |
| def construct(self): |
| tex = Tex('Hello 你好 \\LaTeX', tex_template=TexTemplateLibrary.ctex, font_size=144) |
| self.add(tex) |
| |
| |
| Aligning formulae |
| ================= |
| |
| :class:`~.MathTex` mobject is typeset in the LaTeX ``align*`` |
| environment. This means you can use the ``&`` alignment character |
| when typesetting multiline formulae: |
| |
| .. manim:: LaTeXAlignEnvironment |
| :save_last_frame: |
| |
| class LaTeXAlignEnvironment(Scene): |
| def construct(self): |
| tex = MathTex(r'f(x) &= 3 + 2 + 1\\ &= 5 + 1 \\ &= 6', font_size=96) |
| self.add(tex) |
| |