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 \, G(1+z)=\Gamma(z)\, G(z) }
... is translated to the CAS output ...
Semantic latex: \BarnesG@{1 + z} = \EulerGamma@{z} \BarnesG@{z}
Confidence: 0.65800408394759
Mathematica
Translation: BarnesG[1 + z] == Gamma[z]*BarnesG[z]
Information
Sub Equations
- BarnesG[1 + z] = Gamma[z]*BarnesG[z]
Free variables
- z
Symbol info
- Double Gamma / Barnes Gamma; Example: \BarnesG@{z}
Will be translated to: BarnesG[$0] Relevant links to definitions: DLMF: http://dlmf.nist.gov/5.17#E1 Mathematica: https://reference.wolfram.com/language/ref/BarnesG.html
- Euler Gamma function; Example: \EulerGamma@{z}
Will be translated to: Gamma[$0] Relevant links to definitions: DLMF: http://dlmf.nist.gov/5.2#E1 Mathematica: https://reference.wolfram.com/language/ref/Gamma.html
Tests
Symbolic
Test expression: (BarnesG[1 + z])-(Gamma[z]*BarnesG[z])
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: \BarnesG [\BarnesG]
Tests
Symbolic
Numeric
Maple
Translation:
Information
Symbol info
- (LaTeX -> Maple) No translation possible for given token: Cannot extract information from feature set: \BarnesG [\BarnesG]
Tests
Symbolic
Numeric
Dependency Graph Information
Includes
Is part of
Complete translation information:
{
"id" : "FORMULA_eb173fcf636ea67c9312be4f7ec2a469",
"formula" : "G(1+z)=\\Gamma(z) G(z)",
"semanticFormula" : "\\BarnesG@{1 + z} = \\EulerGamma@{z} \\BarnesG@{z}",
"confidence" : 0.6580040839475927,
"translations" : {
"Mathematica" : {
"translation" : "BarnesG[1 + z] == Gamma[z]*BarnesG[z]",
"translationInformation" : {
"subEquations" : [ "BarnesG[1 + z] = Gamma[z]*BarnesG[z]" ],
"freeVariables" : [ "z" ],
"tokenTranslations" : {
"\\BarnesG" : "Double Gamma / Barnes Gamma; Example: \\BarnesG@{z}\nWill be translated to: BarnesG[$0]\nRelevant links to definitions:\nDLMF: http://dlmf.nist.gov/5.17#E1\nMathematica: https://reference.wolfram.com/language/ref/BarnesG.html",
"\\EulerGamma" : "Euler Gamma function; Example: \\EulerGamma@{z}\nWill be translated to: Gamma[$0]\nRelevant links to definitions:\nDLMF: http://dlmf.nist.gov/5.2#E1\nMathematica: https://reference.wolfram.com/language/ref/Gamma.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" : "BarnesG[1 + z]",
"rhs" : "Gamma[z]*BarnesG[z]",
"testExpression" : "(BarnesG[1 + z])-(Gamma[z]*BarnesG[z])",
"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: \\BarnesG [\\BarnesG]"
}
}
},
"Maple" : {
"translation" : "",
"translationInformation" : {
"tokenTranslations" : {
"Error" : "(LaTeX -> Maple) No translation possible for given token: Cannot extract information from feature set: \\BarnesG [\\BarnesG]"
}
}
}
},
"positions" : [ ],
"includes" : [ "\\,\\Gamma(x)", "z", "G", "\\, G(1+z)=\\Gamma(z)\\, G(z)" ],
"isPartOf" : [ "\\, G(1+z)=\\Gamma(z)\\, G(z)" ],
"definiens" : [ ]
}