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 t=\operatorname{sn} x}
... is translated to the CAS output ...
Semantic latex: t = \Jacobiellsnk@@{x}{k}
Confidence: 0.51053965490595
Mathematica
Translation: t == JacobiSN[x, (k)^2]
Information
Sub Equations
- t = JacobiSN[x, (k)^2]
Free variables
- k
- t
- x
Symbol info
- Jacobian elliptic function; Example: \Jacobiellsnk@@{z}{k}
Will be translated to: JacobiSN[$0, ($1)^2] Relevant links to definitions: DLMF: http://dlmf.nist.gov/22.2#E4 Mathematica: https://reference.wolfram.com/language/ref/JacobiSN.html
Tests
Symbolic
Test expression: (t)-(JacobiSN[x, (k)^2])
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: \Jacobiellsnk [\Jacobiellsnk]
Tests
Symbolic
Numeric
Maple
Translation: t = JacobiSN(x, k)
Information
Sub Equations
- t = JacobiSN(x, k)
Free variables
- k
- t
- x
Symbol info
- Jacobian elliptic function; Example: \Jacobiellsnk@@{z}{k}
Will be translated to: JacobiSN($0, $1) Relevant links to definitions: DLMF: http://dlmf.nist.gov/22.2#E4 Maple: https://www.maplesoft.com/support/help/maple/view.aspx?path=JacobiSN
Tests
Symbolic
Numeric
Dependency Graph Information
Includes
Description
- algebraic form
- Lamé 's equation
- change
- special case of Heun 's equation
Complete translation information:
{
"id" : "FORMULA_f17d55ffc9337b536f28d1f9306874be",
"formula" : "t=\\operatorname{sn} x",
"semanticFormula" : "t = \\Jacobiellsnk@@{x}{k}",
"confidence" : 0.510539654905952,
"translations" : {
"Mathematica" : {
"translation" : "t == JacobiSN[x, (k)^2]",
"translationInformation" : {
"subEquations" : [ "t = JacobiSN[x, (k)^2]" ],
"freeVariables" : [ "k", "t", "x" ],
"tokenTranslations" : {
"\\Jacobiellsnk" : "Jacobian elliptic function; Example: \\Jacobiellsnk@@{z}{k}\nWill be translated to: JacobiSN[$0, ($1)^2]\nRelevant links to definitions:\nDLMF: http://dlmf.nist.gov/22.2#E4\nMathematica: https://reference.wolfram.com/language/ref/JacobiSN.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" : "t",
"rhs" : "JacobiSN[x, (k)^2]",
"testExpression" : "(t)-(JacobiSN[x, (k)^2])",
"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: \\Jacobiellsnk [\\Jacobiellsnk]"
}
}
},
"Maple" : {
"translation" : "t = JacobiSN(x, k)",
"translationInformation" : {
"subEquations" : [ "t = JacobiSN(x, k)" ],
"freeVariables" : [ "k", "t", "x" ],
"tokenTranslations" : {
"\\Jacobiellsnk" : "Jacobian elliptic function; Example: \\Jacobiellsnk@@{z}{k}\nWill be translated to: JacobiSN($0, $1)\nRelevant links to definitions:\nDLMF: http://dlmf.nist.gov/22.2#E4\nMaple: https://www.maplesoft.com/support/help/maple/view.aspx?path=JacobiSN"
}
}
}
},
"positions" : [ {
"section" : 1,
"sentence" : 3,
"word" : 8
} ],
"includes" : [ "t", "\\operatorname{sn}" ],
"isPartOf" : [ ],
"definiens" : [ {
"definition" : "algebraic form",
"score" : 0.6460746792928004
}, {
"definition" : "Lamé 's equation",
"score" : 0.5988174995334326
}, {
"definition" : "change",
"score" : 0.5500952380952381
}, {
"definition" : "special case of Heun 's equation",
"score" : 0.5500952380952381
} ]
}