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 \sum_{j_3} (2j_3+1) \begin{Bmatrix} j_1 & j_2 & j_3\\ j_4 & j_5 & j_6 \end{Bmatrix} \begin{Bmatrix} j_1 & j_2 & j_3\\ j_4 & j_5 & j_6' \end{Bmatrix} = \frac{\delta_{j_6^{}j_6'}}{2j_6+1} \begin{Bmatrix} j_1 & j_5 & j_6 \end{Bmatrix} \begin{Bmatrix} j_4 & j_2 & j_6 \end{Bmatrix}. }
... is translated to the CAS output ...
Semantic latex: \sum_{j_3}(2 j_3 + 1) \Wignersixjsym{j_1}{j_2}{j_3}{j_4}{j_5}{j_6} \Wignersixjsym{j_1}{j_2}{j_3}{j_4}{j_5}{j_6'} = \frac{\delta_{j_6^{}j_6'}}{2j_6+1} \begin{Bmatrix} j_1 & j_5 & j_6 \end{Bmatrix} \begin{Bmatrix} j_4 & j_2 & j_6 \end{Bmatrix}
Confidence: 0.68720618419147
Mathematica
Translation:
Information
Symbol info
- (LaTeX -> Mathematica) The input LaTeX is invalid: Primes can only be translated behind semantic macros (differentiation primes) but not in other places.
Tests
Symbolic
Numeric
SymPy
Translation:
Information
Symbol info
- (LaTeX -> SymPy) No translation possible for given token: Cannot extract information from feature set: \Wignersixjsym [\Wignersixjsym]
Tests
Symbolic
Numeric
Maple
Translation:
Information
Symbol info
- (LaTeX -> Maple) No translation possible for given token: Cannot extract information from feature set: \Wignersixjsym [\Wignersixjsym]
Tests
Symbolic
Numeric
Dependency Graph Information
Includes
Is part of
Complete translation information:
{
"id" : "FORMULA_01913e840e5d7f0a907a40bfd9827023",
"formula" : "\\sum_{j_3} (2j_3+1)\n \\begin{Bmatrix}\n j_1 & j_2 & j_3\\\\\n j_4 & j_5 & j_6\n \\end{Bmatrix}\n \\begin{Bmatrix}\n j_1 & j_2 & j_3\\\\\n j_4 & j_5 & j_6'\n \\end{Bmatrix}\n = \\frac{\\delta_{j_6^{}j_6'}}{2j_6+1} \\begin{Bmatrix} j_1 & j_5 & j_6 \\end{Bmatrix} \\begin{Bmatrix} j_4 & j_2 & j_6 \\end{Bmatrix}",
"semanticFormula" : "\\sum_{j_3}(2 j_3 + 1) \\Wignersixjsym{j_1}{j_2}{j_3}{j_4}{j_5}{j_6} \\Wignersixjsym{j_1}{j_2}{j_3}{j_4}{j_5}{j_6'} = \\frac{\\delta_{j_6^{}j_6'}}{2j_6+1} \\begin{Bmatrix} j_1 & j_5 & j_6 \\end{Bmatrix} \\begin{Bmatrix} j_4 & j_2 & j_6 \\end{Bmatrix}",
"confidence" : 0.687206184191471,
"translations" : {
"Mathematica" : {
"translation" : "",
"translationInformation" : {
"tokenTranslations" : {
"Error" : "(LaTeX -> Mathematica) The input LaTeX is invalid: Primes can only be translated behind semantic macros (differentiation primes) but not in other places."
}
},
"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: \\Wignersixjsym [\\Wignersixjsym]"
}
},
"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: \\Wignersixjsym [\\Wignersixjsym]"
}
},
"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" : [ ],
"includes" : [ "\\sum_{j_3} (2j_3+1) \\begin{Bmatrix} j_1 & j_2 & j_3\\\\ j_4 & j_5 & j_6 \\end{Bmatrix} \\begin{Bmatrix} j_1 & j_2 & j_3\\\\ j_4 & j_5 & j_6' \\end{Bmatrix} = \\frac{\\delta_{j_6^{}j_6'}}{2j_6+1} \\begin{Bmatrix} j_1 & j_5 & j_6 \\end{Bmatrix} \\begin{Bmatrix} j_4 & j_2 & j_6 \\end{Bmatrix}", "j_{3}", "j", "\\begin{Bmatrix} j_1 & j_2 & j_3\\\\ j_4 & j_5 & j_6 \\end{Bmatrix}" ],
"isPartOf" : [ "\\sum_{j_3} (2j_3+1) \\begin{Bmatrix} j_1 & j_2 & j_3\\\\ j_4 & j_5 & j_6 \\end{Bmatrix} \\begin{Bmatrix} j_1 & j_2 & j_3\\\\ j_4 & j_5 & j_6' \\end{Bmatrix} = \\frac{\\delta_{j_6^{}j_6'}}{2j_6+1} \\begin{Bmatrix} j_1 & j_5 & j_6 \\end{Bmatrix} \\begin{Bmatrix} j_4 & j_2 & j_6 \\end{Bmatrix}" ],
"definiens" : [ ]
}