fourpoints / mumath

Interpreter for a latex-like language

mumath

Compiler from LATEX-like language to MathML. Best used in combination with Addup.

Not 100 % LATEX compatible, but attempts feature parity for basic functionality. Mumath also includes some additional functions for ease of use, such as \matrix[1,0;0,1] which is equivalent to \begin{bmatrix}1&0\\0&1\end{bmatrix}.

For alternative software, also check out

• MathJax
• KaTeX
• jsMath

For information about MathML, see Mozilla's docs

• MathML

Test in browser

Start server and open new tab in browser

$ python -m mumath.server --open

Start server in new tab from input

$ python -m mumath.server --open --equation "1 + 2 = 3"

Start server in tab from file

$ python -m mumath.server --open --file "./path.tex"

Changelog

• 1.2.0: Fix spaces not being included. Refactor Glyph module.
• 1.1.2: Include Markdown extension. First PyPi release.
• 1.3.3: Forgot to unwrap text nodes, making node text None. Fixed importError typo.

Use with markdown

Include mumath for $$...$$ and mumath-inline for $...$ expressions in markdown. Environment parameters are passed down in either the first line for blocks or inside brackets for inline elements.

# Block parameters
This is a block example
$$chemistry # class="blue"
1 + 2 = 3
$$

# Inline parameters
This is an inline example $(chemistry # class=blue)1 + 2 = 3$.

The first parameter is an optional area argument, which specifies the area of mathematics. Currently only chemistry is supported, but many mathematical functions and operators are included by default. It is possible to include more areas. This is currently experimental.

There are some optional parameters such as linenos, which is aliased by #, which will include numbering. Numbering will be skipped on lines including \nonumber or \notag. Other parameters will be used as regular HTML attributes.

Areas (experimental)

Here is how trigonometry functions can be added to a new trigonometry area. It's worth noting that these already exist as \sin, \cos and \tan, as serves just as an example. It is recommended to start keywords with \ whenever possible, as using too many custom keywords may be slow. The tokenizer is optimized to look for keywords starting with \. Using \sin also helps keeping LATEX compatibility.

from mumath import Glyph

Glyph.register_area("trigonometry": {
  "functions": {
    "sin": ("sin", {"form": "prefix"}),
    "cos": ("cos", {"form": "prefix"}),
    "tan": ("tan", {"form": "prefix"}),
  }
})

Examples

Most basic LATEX syntax is accepted, but no \declare-functionality exists.

One noteable difference is that 12 is one token in mumath, but two in LATEX, so writing \frac12 is an error and must be written as \frac1 2. The recommended way to write fractions is {1\over2}.

This has a small advantage when writing integrals, as you may write \int_0^10 instead of \int_0^{10}, at the cost of no longer being fully LATEX-compatible.

The \matrix operator also functions differently in that the brackets are remembered, i.e. \matrix[a] will use square brackets.

\begin{align/equation} does not support numbering. Instead a counter argument is passed to the parser.

Simple equations

mumath

1 + 2 + 3 = 6

mathml

<math display="inline" class="math math--inline">
  <mn>1</mn>
  <mo>+</mo>
  <mn>2</mn>
  <mo>+</mo>
  <mn>3</mn>
  <mo>=</mo>
  <mn>6</mn>
</math>

---

Spaces and commas are supported between numerals

Note that this means that (1,0) is a 1-tuple, but (1, 0) is a two-tuple.

mumath

\int_0^1_000_000 d x = [x]_0^1_000_000

mathml

<math display="inline" class="math math--inline">
  <msubsup>
    <mo form="prefix" largeop="true">∫</mo>
    <mn>0</mn>
    <mn>1_000_000</mn>
  </msubsup>
  <mi>d</mi>
  <mi>x</mi>
  <mo>=</mo>
  <msubsup>
    <mrow>
      <mo stretchy="false">[</mo>
      <mi>x</mi>
      <mo stretchy="false">]</mo>
    </mrow>
    <mn>0</mn>
    <mn>1_000_000</mn>
  </msubsup>
</math>

---

Matrix support

mumath

\begin{pmatrix} a & b \\ c & d \end{pmatrix}

mathml

<math display="inline" class="math math--inline">
  <mrow>
    <mo stretchy="true">(</mo>
    <mtable>
      <mtr>
        <mtd>
          <mi>a</mi>
        </mtd>
        <mtd>
          <mi>b</mi>
        </mtd>
      </mtr>
      <mtr>
        <mtd>
          <mi>c</mi>
        </mtd>
        <mtd>
          <mi>d</mi>
        </mtd>
      </mtr>
    </mtable>
    <mo stretchy="true">)</mo>
  </mrow>
</math>

---

Supports 0r for roman numerals

• 1.0.0 removed 0rIII style roman numerals. III may be included in the future.

In addition to 0x, 0o and 0b for hexadecimal, octal and binary

mumath

He^III

mathml

<math display="inline" class="math math--inline">
  <msup>
    <mi>He</mi>
  </msup>
  <mi>III</mi>
</math>

Note that by using the chemistry-area, He (and other symbols) will be recognized as distinct elements.

---

Has greeks

mumath

\alpha + \beta = \gamma

mathml

<math display="inline" class="math math--inline">
  <mi>α</mi>
  <mo>+</mo>
  <mi>β</mi>
  <mo>=</mo>
  <mi>γ</mi>
</math>

---

Supports double underscore for \undersetting

Similarly ^^ for oversetting

mumath

\argmin__{x \in \reals}

mathml

<math display="inline" class="math math--inline">
  <munder>
    <mo form="prefix" movablelimits="true">argmin</mo>
    <mrow>
      <mi>x</mi>
      <mo form="infix">∈</mo>
      <mi>&reals;</mi>
    </mrow>
  </munder>
</math>

---

Accent support

mumath

\hat{x_2}

mathml

<math display="inline" class="math math--inline">
  <mover accent="true">
    <msub>
      <mi>x</mi>
      <mn>2</mn>
    </msub>
    <mo>^</mo>
  </mover>
</math>

---

Multiscripts support

mumath

_1^2 X_3^4

mathml

<math display="inline" class="math math--inline">
  <mmultiscripts>
    <mn>X</mn>
    <mn>3</mn>
    <mn>4</mn>
    <mprescripts />
    <mn>1</mn>
    <mn>2</mn>
  </mmultiscripts>
</math>

---

Basic HTML support

mumath

\class{red}{X + Y}

mathml

<math display="inline" class="math math--inline">
  <mrow class="red">
    <mn>X</mn>
    <mo>+</mo>
    <mi>Y</mi>
  </mrow>
</math>

---

Basic macro support

Currently only one built-in \series exist.

mumath

\sum_{i=1}^3 {x^i \over 3} = \series_{i=1}^{3} {x_i \over 3}

mathml

<math display="inline" class="math math--inline">
  <munderover>
    <mo form="prefix" largeop="true" movablelimits="true">∑</mo>
    <mrow>
      <mi>i</mi>
      <mo>=</mo>
      <mn>1</mn>
    </mrow>
    <mn>3</mn>
  </munderover>
  <mrow>
    <mfrac>
      <msup>
        <mi>x</mi>
        <mi>i</mi>
      </msup>
      <mn>3</mn>
    </mfrac>
  </mrow>
  <mo>=</mo>
  <mrow>
    <mrow>
      <mfrac>
        <msub>
          <mi>x</mi>
          <mi>1</mi>
        </msub>
        <mn>3</mn>
      </mfrac>
    </mrow>
    <mo>+</mo>
    <mrow>
      <mfrac>
        <msub>
          <mi>x</mi>
          <mi>2</mi>
        </msub>
        <mn>3</mn>
      </mfrac>
    </mrow>
    <mo>+</mo>
    <mrow>
      <mfrac>
        <msub>
          <mi>x</mi>
          <mi>3</mi>
        </msub>
        <mn>3</mn>
      </mfrac>
    </mrow>
  </mrow>
</math>

Cases and text

mumath

x = \begin{cases} 0 & \text{if $x < 0$} \\ 1 & \text{otherwise}\end{cases}

mathml

<math display="inline" class="math math--inline">
  <mi>x</mi>
  <mo>=</mo>
  <mrow>
    <mo stretchy="true">{</mo>
    <mtable>
      <mtr>
        <mtd>
          <mn>0</mn>
        </mtd>
        <mtd>
          <mrow>
            <mtext>if</mtext>
            <mspace width="0.2em" />
            <mi>x</mi>
            <mo>&lt;</mo>
            <mn>0</mn>
            <mtext></mtext>
          </mrow>
        </mtd>
      </mtr>
      <mtr>
        <mtd>
          <mn>1</mn>
        </mtd>
        <mtd>
          <mrow>
            <mtext>otherwise</mtext>
          </mrow>
        </mtd>
      </mtr>
    </mtable>
  </mrow>
</math>

---

In conjunction with Markdown

mumath+markdown=mumark

# Mumark
This is an equation: $a^2 + b^2 = c^2$.

html+mathml

<h1>Mumark</h1>
<p>This is an equation: <math display="inline" class="math math--inline">
  <msup>
    <mi>a</mi>
    <mn>2</mn>
  </msup>
  <mo>+</mo>
  <msup>
    <mi>b</mi>
    <mn>2</mn>
  </msup>
  <mo>=</mo>
  <msup>
    <mi>c</mi>
    <mn>2</mn>
  </msup>
</math>.
</p>