LaTeX to CAS translator

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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 \pi(x)\sim\operatorname{Li}(x)}

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

Semantic latex: \cpi(x) \sim \operatorname{Li}(x)

Confidence: 0

Mathematica

Translation:

Information

Symbol info

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

Tests

Symbolic
Numeric

SymPy

Translation:

Information

Symbol info

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

Tests

Symbolic
Numeric

Maple

Translation:

Information

Symbol info

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

Tests

Symbolic
Numeric

Dependency Graph Information

Includes

Description

  • prime number theorem state
  • example
  • number of prime

Complete translation information:

{
  "id" : "FORMULA_b8cac23927fe3955c5e9a78c8b091146",
  "formula" : "\\pi(x)\\sim\\operatorname{Li}(x)",
  "semanticFormula" : "\\cpi(x) \\sim \\operatorname{Li}(x)",
  "confidence" : 0.0,
  "translations" : {
    "Mathematica" : {
      "translation" : "",
      "translationInformation" : {
        "tokenTranslations" : {
          "Error" : "(LaTeX -> Mathematica) No translation possible for given token: Cannot extract information from feature set: \\sim [\\sim]"
        }
      },
      "numericResults" : {
        "overallResult" : "SKIPPED",
        "numberOfTests" : 0,
        "numberOfFailedTests" : 0,
        "numberOfSuccessfulTests" : 0,
        "numberOfSkippedTests" : 0,
        "numberOfErrorTests" : 0,
        "wasAborted" : false,
        "crashed" : false,
        "testCalculationsGroups" : [ ]
      },
      "symbolicResults" : {
        "overallResult" : "SKIPPED",
        "numberOfTests" : 0,
        "numberOfFailedTests" : 0,
        "numberOfSuccessfulTests" : 0,
        "numberOfSkippedTests" : 0,
        "numberOfErrorTests" : 0,
        "crashed" : false,
        "testCalculationsGroup" : [ ]
      }
    },
    "SymPy" : {
      "translation" : "",
      "translationInformation" : {
        "tokenTranslations" : {
          "Error" : "(LaTeX -> SymPy) No translation possible for given token: Cannot extract information from feature set: \\sim [\\sim]"
        }
      },
      "numericResults" : {
        "overallResult" : "SKIPPED",
        "numberOfTests" : 0,
        "numberOfFailedTests" : 0,
        "numberOfSuccessfulTests" : 0,
        "numberOfSkippedTests" : 0,
        "numberOfErrorTests" : 0,
        "wasAborted" : false,
        "crashed" : false,
        "testCalculationsGroups" : [ ]
      },
      "symbolicResults" : {
        "overallResult" : "SKIPPED",
        "numberOfTests" : 0,
        "numberOfFailedTests" : 0,
        "numberOfSuccessfulTests" : 0,
        "numberOfSkippedTests" : 0,
        "numberOfErrorTests" : 0,
        "crashed" : false,
        "testCalculationsGroup" : [ ]
      }
    },
    "Maple" : {
      "translation" : "",
      "translationInformation" : {
        "tokenTranslations" : {
          "Error" : "(LaTeX -> Maple) No translation possible for given token: Cannot extract information from feature set: \\sim [\\sim]"
        }
      },
      "numericResults" : {
        "overallResult" : "SKIPPED",
        "numberOfTests" : 0,
        "numberOfFailedTests" : 0,
        "numberOfSuccessfulTests" : 0,
        "numberOfSkippedTests" : 0,
        "numberOfErrorTests" : 0,
        "wasAborted" : false,
        "crashed" : false,
        "testCalculationsGroups" : [ ]
      },
      "symbolicResults" : {
        "overallResult" : "SKIPPED",
        "numberOfTests" : 0,
        "numberOfFailedTests" : 0,
        "numberOfSuccessfulTests" : 0,
        "numberOfSkippedTests" : 0,
        "numberOfErrorTests" : 0,
        "crashed" : false,
        "testCalculationsGroup" : [ ]
      }
    }
  },
  "positions" : [ {
    "section" : 6,
    "sentence" : 1,
    "word" : 10
  } ],
  "includes" : [ "x)", "x", "\\pi(x)" ],
  "isPartOf" : [ ],
  "definiens" : [ {
    "definition" : "prime number theorem state",
    "score" : 0.7125985104912714
  }, {
    "definition" : "example",
    "score" : 0.6859086196238077
  }, {
    "definition" : "number of prime",
    "score" : 0.6859086196238077
  } ]
}

Specify your own input