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 \lambda(\tau)=k^2(\tau)}
... is translated to the CAS output ...
Semantic latex: \modularlambdatau@{\tau} = k^2(\tau)
Confidence: 0.6805
Mathematica
Translation: ModularLambda[\[Tau]] == (k[\[Tau]])^(2)
Information
Sub Equations
- ModularLambda[\[Tau]] = (k[\[Tau]])^(2)
Free variables
- \[Tau]
Symbol info
- Elliptic modular function; Example: \modularlambdatau@{\tau}
Will be translated to: ModularLambda[$0] Relevant links to definitions: DLMF: http://dlmf.nist.gov/23.15#E6 Mathematica: https://reference.wolfram.com/language/ref/ModularLambda.html
- Function without DLMF-Definition. We keep it like it is (but delete prefix \ if necessary).
Tests
Symbolic
Test expression: (ModularLambda[\[Tau]])-((k)^(2)*(\[Tau]))
ERROR:
{
"result": "ERROR",
"testTitle": "Simple",
"testExpression": null,
"resultExpression": null,
"wasAborted": false,
"conditionallySuccessful": false
}
Numeric
SymPy
Translation:
Information
Symbol info
- (LaTeX -> SymPy) No translation possible for given token: Cannot extract information from feature set: \modularlambdatau [\modularlambdatau]
Tests
Symbolic
Numeric
Maple
Translation:
Information
Symbol info
- (LaTeX -> Maple) No translation possible for given token: Cannot extract information from feature set: \modularlambdatau [\modularlambdatau]
Tests
Symbolic
Numeric
Dependency Graph Information
Includes
Description
- square of the Jacobi modulus
Complete translation information:
{
"id" : "FORMULA_468606ea4e229d845345faf052eda070",
"formula" : "\\lambda(\\tau)=k^2(\\tau)",
"semanticFormula" : "\\modularlambdatau@{\\tau} = k^2(\\tau)",
"confidence" : 0.6805,
"translations" : {
"Mathematica" : {
"translation" : "ModularLambda[\\[Tau]] == (k[\\[Tau]])^(2)",
"translationInformation" : {
"subEquations" : [ "ModularLambda[\\[Tau]] = (k[\\[Tau]])^(2)" ],
"freeVariables" : [ "\\[Tau]" ],
"tokenTranslations" : {
"\\modularlambdatau" : "Elliptic modular function; Example: \\modularlambdatau@{\\tau}\nWill be translated to: ModularLambda[$0]\nRelevant links to definitions:\nDLMF: http://dlmf.nist.gov/23.15#E6\nMathematica: https://reference.wolfram.com/language/ref/ModularLambda.html",
"k" : "Function without DLMF-Definition. We keep it like it is (but delete prefix \\ if necessary)."
}
},
"numericResults" : {
"overallResult" : "SKIPPED",
"numberOfTests" : 0,
"numberOfFailedTests" : 0,
"numberOfSuccessfulTests" : 0,
"numberOfSkippedTests" : 0,
"numberOfErrorTests" : 0,
"wasAborted" : false,
"crashed" : false,
"testCalculationsGroups" : [ ]
},
"symbolicResults" : {
"overallResult" : "ERROR",
"numberOfTests" : 1,
"numberOfFailedTests" : 0,
"numberOfSuccessfulTests" : 0,
"numberOfSkippedTests" : 0,
"numberOfErrorTests" : 1,
"crashed" : false,
"testCalculationsGroup" : [ {
"lhs" : "ModularLambda[\\[Tau]]",
"rhs" : "(k)^(2)*(\\[Tau])",
"testExpression" : "(ModularLambda[\\[Tau]])-((k)^(2)*(\\[Tau]))",
"testCalculations" : [ {
"result" : "ERROR",
"testTitle" : "Simple",
"testExpression" : null,
"resultExpression" : null,
"wasAborted" : false,
"conditionallySuccessful" : false
} ]
} ]
}
},
"SymPy" : {
"translation" : "",
"translationInformation" : {
"tokenTranslations" : {
"Error" : "(LaTeX -> SymPy) No translation possible for given token: Cannot extract information from feature set: \\modularlambdatau [\\modularlambdatau]"
}
}
},
"Maple" : {
"translation" : "",
"translationInformation" : {
"tokenTranslations" : {
"Error" : "(LaTeX -> Maple) No translation possible for given token: Cannot extract information from feature set: \\modularlambdatau [\\modularlambdatau]"
}
}
}
},
"positions" : [ {
"section" : 2,
"sentence" : 0,
"word" : 12
} ],
"includes" : [ "\\tau", "\\lambda(\\tau)", "\\lambda" ],
"isPartOf" : [ ],
"definiens" : [ {
"definition" : "square of the Jacobi modulus",
"score" : 0.7125985104912714
} ]
}