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 \begin{Bmatrix} j_1 & j_2 & j_3\\ j_4 & j_5 & j_6 \end{Bmatrix} \sim \frac{1}{\sqrt{12 \pi |V|}} \cos{\left( \sum_{i=1}^{6} J_i \theta_i +\frac{\pi}{4}\right)}. }
... is translated to the CAS output ...
Semantic latex: \Wignersixjsym{j_1}{j_2}{j_3}{j_4}{j_5}{j_6} \sim \frac{1}{\sqrt{12 \cpi|V|}} \cos{(\sum_{i=1}^{6} J_i \theta_i + \frac{\cpi}{4})}
Confidence: 0.68720618419147
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: \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_22387b48e60d1f91d79a8a94c5181041",
"formula" : "\\begin{Bmatrix}\nj_1 & j_2 & j_3\\\\\nj_4 & j_5 & j_6\n\\end{Bmatrix}\n\\sim \\frac{1}{\\sqrt{12 \\pi |V|}} \\cos{\\left( \\sum_{i=1}^{6} J_i \\theta_i +\\frac{\\pi}{4}\\right)}",
"semanticFormula" : "\\Wignersixjsym{j_1}{j_2}{j_3}{j_4}{j_5}{j_6} \\sim \\frac{1}{\\sqrt{12 \\cpi|V|}} \\cos{(\\sum_{i=1}^{6} J_i \\theta_i + \\frac{\\cpi}{4})}",
"confidence" : 0.687206184191471,
"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: \\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" : [ "j_{3}", "\\theta_{i}", "\\begin{Bmatrix}j_1 & j_2 & j_3\\\\j_4 & j_5 & j_6\\end{Bmatrix}\\sim \\frac{1}{\\sqrt{12 \\pi |V|}} \\cos{\\left( \\sum_{i=1}^{6} J_i \\theta_i +\\frac{\\pi}{4}\\right)}", "m_{i}", "j", "J_{i}", "V", "\\begin{Bmatrix} j_1 & j_2 & j_3\\\\ j_4 & j_5 & j_6 \\end{Bmatrix}" ],
"isPartOf" : [ "\\begin{Bmatrix}j_1 & j_2 & j_3\\\\j_4 & j_5 & j_6\\end{Bmatrix}\\sim \\frac{1}{\\sqrt{12 \\pi |V|}} \\cos{\\left( \\sum_{i=1}^{6} J_i \\theta_i +\\frac{\\pi}{4}\\right)}" ],
"definiens" : [ ]
}