LaTeX to CAS translator

This mockup demonstrates the concept of TeX to Computer Algebra System (CAS) conversion.

The demo-application converts LaTeX functions which directly translate to CAS counterparts.

Functions without explicit CAS support are available for translation via a DRMF package (under development).

The following LaTeX input ...

{\displaystyle \psi(x) := \sum_{n=1}^\infty e^{-n^2 \pi x}}

${\displaystyle \psi (x):=\sum _{n=1}^{\infty }e^{-n^{2}\pi x}}$

... is translated to the CAS output ...

Semantic latex: \digamma@{x} : = \sum_{n=1}^\infty \expe^{- n^2 \cpi x}

Confidence: 0.71356142877931

Mathematica

Translation:

Information

Symbol info

(LaTeX -> Mathematica) An unknown or missing element occurred: Unknown MathTerm Tag: colon for : [:]

Tests

Symbolic

Numeric

SymPy

Translation:

Information

Symbol info

(LaTeX -> SymPy) No translation possible for given token: Cannot extract information from feature set: \digamma [\digamma]

Tests

Symbolic

Numeric

Maple

Translation:

Information

Symbol info

(LaTeX -> Maple) An unknown or missing element occurred: Unknown MathTerm Tag: colon for : [:]

Tests

Symbolic

Numeric

Dependency Graph Information

Includes

Failed to parse (syntax error): {\displaystyle =1}^}

$^{2}$

$=1$

$=1$

Description

n

TeX Source

Formula

Gold ID

infty e

link

pi

psi

sum

x

Complete translation information:

{
  "id" : "FORMULA_bd88ec58aa42c7a59bc2f4ff458a54cf",
  "formula" : "\\psi(x) := \\sum_{n=1}^\\infty e^{-n^2 \\pi x}",
  "semanticFormula" : "\\digamma@{x} : = \\sum_{n=1}^\\infty \\expe^{- n^2 \\cpi x}",
  "confidence" : 0.7135614287793112,
  "translations" : {
    "Mathematica" : {
      "translation" : "",
      "translationInformation" : {
        "tokenTranslations" : {
          "Error" : "(LaTeX -> Mathematica) An unknown or missing element occurred: Unknown MathTerm Tag: colon for : [:]"
        }
      }
    },
    "SymPy" : {
      "translation" : "",
      "translationInformation" : {
        "tokenTranslations" : {
          "Error" : "(LaTeX -> SymPy) No translation possible for given token: Cannot extract information from feature set: \\digamma [\\digamma]"
        }
      }
    },
    "Maple" : {
      "translation" : "",
      "translationInformation" : {
        "tokenTranslations" : {
          "Error" : "(LaTeX -> Maple) An unknown or missing element occurred: Unknown MathTerm Tag: colon for : [:]"
        }
      }
    }
  },
  "positions" : [ {
    "section" : 1,
    "sentence" : 0,
    "word" : 8
  } ],
  "includes" : [ "=1}^", "^2", "= 1", "=1" ],
  "isPartOf" : [ ],
  "definiens" : [ {
    "definition" : "n",
    "score" : 0.7936682821800771
  }, {
    "definition" : "TeX Source",
    "score" : 0.722
  }, {
    "definition" : "Formula",
    "score" : 0.6954080343007951
  }, {
    "definition" : "Gold ID",
    "score" : 0.6687181434333315
  }, {
    "definition" : "infty e",
    "score" : 0.6288842031023242
  }, {
    "definition" : "link",
    "score" : 0.6288842031023242
  }, {
    "definition" : "pi",
    "score" : 0.6288842031023242
  }, {
    "definition" : "psi",
    "score" : 0.6288842031023242
  }, {
    "definition" : "sum",
    "score" : 0.6288842031023242
  }, {
    "definition" : "x",
    "score" : 0.6288842031023242
  } ]
}

Specify your own input

Formula input
Wikitext context	__NOTOC__ == Riemann zeta function == ; Gold ID : 6 ; Link : https://sigir21.wmflabs.org/wiki/Riemann_zeta_function#math.56.40 ; Formula : <math>\psi(x) := \sum_{n=1}^\infty e^{-n^2 \pi x}</math> ; TeX Source : <syntaxhighlight lang="tex" inline>\psi(x) := \sum_{n=1}^\infty e^{-n^2 \pi x}</syntaxhighlight> {\| class="wikitable" \|- ! colspan="3" \| Translation Results \|- ! Semantic LaTeX !! Mathematica Translation !! Maple Translations \|- \| {{ya}} \| {{ya}} \| {{ya}} \|} === Semantic LaTeX === ; Translation : <syntaxhighlight lang="tex" inline>\psi(x) : = \sum_{n=1}^\infty \expe^{- n^2 \cpi x}</syntaxhighlight> ; Expected (Gold Entry) : <syntaxhighlight lang="tex" inline>\psi(x) : = \sum_{n=1}^\infty \expe^{- n^2 \cpi x}</syntaxhighlight> === Mathematica === ; Translation : <syntaxhighlight lang="mathematica" inline>\[Psi][x_] := Sum[Exp[- (n)^(2)* Pix], {n, 1, Infinity}, GenerateConditions->None]</syntaxhighlight> ; Expected (Gold Entry) : <syntaxhighlight lang="mathematica" inline>\[Psi][x_] := Sum[Exp[-(n)^(2)Pix], {n, 1, Infinity}]</syntaxhighlight> === Maple === ; Translation : <syntaxhighlight lang="mathematica" inline>psi := (x) -> sum(exp(- (n)^(2) Pix), n = 1..infinity)</syntaxhighlight> ; Expected (Gold Entry) : <syntaxhighlight lang="mathematica" inline>psi := (x) -> sum(exp(-(n)^(2)Pi*x), n=1..infinity)</syntaxhighlight>
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LaTeX to CAS translator

Mathematica

Information

Tests

Symbolic

Numeric

SymPy

Information

Tests

Symbolic

Numeric

Maple

Information

Tests

Symbolic

Numeric

Dependency Graph Information

Specify your own input

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