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 \hbox{li}(x)=\hbox{Ei}(\ln x) , \,\!}
... is translated to the CAS output ...
Semantic latex: l \iunit(x) ={\expintEi@{\ln x}}
Confidence: 0.65722105077558
Mathematica
Translation: l*I*(x) == ExpIntegralEi[Log[x]]
Information
Sub Equations
- l*I*(x) = ExpIntegralEi[Log[x]]
Free variables
- l
- x
Symbol info
- Imaginary unit was translated to: I
- Exponential integral; Example: \expintEi@{x}
Will be translated to: Alternative translations: [ExpIntegralEi[$0]]Constraints: z != 0 Branch Cuts: (-\infty, 0] Relevant links to definitions: DLMF: http://dlmf.nist.gov/6.2#E1 Mathematica:
- Natural logarithm; Example: \ln@@{z}
Will be translated to: Log[$0] Constraints: z != 0 Branch Cuts: (-\infty, 0] Relevant links to definitions: DLMF: http://dlmf.nist.gov/4.2#E2 Mathematica: https://reference.wolfram.com/language/ref/Log.html
Tests
Symbolic
Test expression: (l*I*(x))-(ExpIntegralEi[Log[x]])
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: \expintEi [\expintEi]
Tests
Symbolic
Numeric
Maple
Translation:
Information
Symbol info
- (LaTeX -> Maple) No translation possible for given token: Cannot extract information from feature set: \expintEi [\expintEi]
Tests
Symbolic
Numeric
Dependency Graph Information
Includes
Is part of
Complete translation information:
{
"id" : "FORMULA_22995dbf9018c3eb300778170a8c1241",
"formula" : "{li}(x)={Ei}(\\ln x)",
"semanticFormula" : "l \\iunit(x) ={\\expintEi@{\\ln x}}",
"confidence" : 0.657221050775581,
"translations" : {
"Mathematica" : {
"translation" : "l*I*(x) == ExpIntegralEi[Log[x]]",
"translationInformation" : {
"subEquations" : [ "l*I*(x) = ExpIntegralEi[Log[x]]" ],
"freeVariables" : [ "l", "x" ],
"tokenTranslations" : {
"\\iunit" : "Imaginary unit was translated to: I",
"\\expintEi" : "Exponential integral; Example: \\expintEi@{x}\nWill be translated to: \nAlternative translations: [ExpIntegralEi[$0]]Constraints: z != 0\nBranch Cuts: (-\\infty, 0]\nRelevant links to definitions:\nDLMF: http://dlmf.nist.gov/6.2#E1\nMathematica: ",
"\\ln" : "Natural logarithm; Example: \\ln@@{z}\nWill be translated to: Log[$0]\nConstraints: z != 0\nBranch Cuts: (-\\infty, 0]\nRelevant links to definitions:\nDLMF: http://dlmf.nist.gov/4.2#E2\nMathematica: https://reference.wolfram.com/language/ref/Log.html"
}
},
"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" : "l*I*(x)",
"rhs" : "ExpIntegralEi[Log[x]]",
"testExpression" : "(l*I*(x))-(ExpIntegralEi[Log[x]])",
"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: \\expintEi [\\expintEi]"
}
}
},
"Maple" : {
"translation" : "",
"translationInformation" : {
"tokenTranslations" : {
"Error" : "(LaTeX -> Maple) No translation possible for given token: Cannot extract information from feature set: \\expintEi [\\expintEi]"
}
}
}
},
"positions" : [ ],
"includes" : [ "x)", "x", "\\hbox{li}(x)=\\hbox{Ei}(\\ln x) , \\," ],
"isPartOf" : [ "\\hbox{li}(x)=\\hbox{Ei}(\\ln x) , \\," ],
"definiens" : [ ]
}