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 \lim_{u \to \pm \infty} (x(u),\, y(u)) = (-a,\, 0)\;.}
... is translated to the CAS output ...
Semantic latex: \lim_{u \to \pm \infty} (x(u), y(u)) = (-a, 0)
Confidence: 0
Mathematica
Translation: Limit[x[u], y[u], u -> \[PlusMinus]Infinity, GenerateConditions->None] == (- a , 0)
Information
Sub Equations
- Limit[x[u], y[u], u -> + Infinity, GenerateConditions->None] = (- a , 0)
- Limit[x[u], y[u], u -> - Infinity, GenerateConditions->None] = (- a , 0)
Free variables
- a
Symbol info
- Function without DLMF-Definition. We keep it like it is (but delete prefix \ if necessary).
- Function without DLMF-Definition. We keep it like it is (but delete prefix \ if necessary).
Tests
Symbolic
Test expression: (Limit[x*(u), y*(u), u -> + Infinity, GenerateConditions->None])-((- a , 0))
ERROR:
{
"result": "ERROR",
"testTitle": "Simple",
"testExpression": null,
"resultExpression": null,
"wasAborted": false,
"conditionallySuccessful": false
}
Test expression: (Limit[x*(u), y*(u), u -> - Infinity, GenerateConditions->None])-((- a , 0))
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: Unable to identify interval of LIM
Tests
Symbolic
Numeric
Maple
Translation: limit(x(u), y(u), u = &+- infinity) = (- a , 0)
Information
Sub Equations
- limit(x(u), y(u), u = + infinity) = (- a , 0)
- limit(x(u), y(u), u = - infinity) = (- a , 0)
Free variables
- a
Symbol info
- Function without DLMF-Definition. We keep it like it is (but delete prefix \ if necessary).
- Function without DLMF-Definition. We keep it like it is (but delete prefix \ if necessary).
Tests
Symbolic
Numeric
Dependency Graph Information
Includes
Is part of
Complete translation information:
{
"id" : "FORMULA_9018fd037f40a431fa3c82e91a32c233",
"formula" : "\\lim_{u \\to \\pm \\infty} (x(u), y(u)) = (-a, 0)",
"semanticFormula" : "\\lim_{u \\to \\pm \\infty} (x(u), y(u)) = (-a, 0)",
"confidence" : 0.0,
"translations" : {
"Mathematica" : {
"translation" : "Limit[x[u], y[u], u -> \\[PlusMinus]Infinity, GenerateConditions->None] == (- a , 0)",
"translationInformation" : {
"subEquations" : [ "Limit[x[u], y[u], u -> + Infinity, GenerateConditions->None] = (- a , 0)", "Limit[x[u], y[u], u -> - Infinity, GenerateConditions->None] = (- a , 0)" ],
"freeVariables" : [ "a" ],
"tokenTranslations" : {
"x" : "Function without DLMF-Definition. We keep it like it is (but delete prefix \\ if necessary).",
"y" : "Function without DLMF-Definition. We keep it like it is (but delete prefix \\ if necessary)."
}
},
"numericResults" : {
"overallResult" : "SKIPPED",
"numberOfTests" : 0,
"numberOfFailedTests" : 0,
"numberOfSuccessfulTests" : 0,
"numberOfSkippedTests" : 0,
"numberOfErrorTests" : 0,
"wasAborted" : false,
"crashed" : false,
"testCalculationsGroups" : [ ]
},
"symbolicResults" : {
"overallResult" : "ERROR",
"numberOfTests" : 2,
"numberOfFailedTests" : 0,
"numberOfSuccessfulTests" : 0,
"numberOfSkippedTests" : 0,
"numberOfErrorTests" : 2,
"crashed" : false,
"testCalculationsGroup" : [ {
"lhs" : "Limit[x*(u), y*(u), u -> + Infinity, GenerateConditions->None]",
"rhs" : "(- a , 0)",
"testExpression" : "(Limit[x*(u), y*(u), u -> + Infinity, GenerateConditions->None])-((- a , 0))",
"testCalculations" : [ {
"result" : "ERROR",
"testTitle" : "Simple",
"testExpression" : null,
"resultExpression" : null,
"wasAborted" : false,
"conditionallySuccessful" : false
} ]
}, {
"lhs" : "Limit[x*(u), y*(u), u -> - Infinity, GenerateConditions->None]",
"rhs" : "(- a , 0)",
"testExpression" : "(Limit[x*(u), y*(u), u -> - Infinity, GenerateConditions->None])-((- a , 0))",
"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: Unable to identify interval of LIM"
}
}
},
"Maple" : {
"translation" : "limit(x(u), y(u), u = &+- infinity) = (- a , 0)",
"translationInformation" : {
"subEquations" : [ "limit(x(u), y(u), u = + infinity) = (- a , 0)", "limit(x(u), y(u), u = - infinity) = (- a , 0)" ],
"freeVariables" : [ "a" ],
"tokenTranslations" : {
"x" : "Function without DLMF-Definition. We keep it like it is (but delete prefix \\ if necessary).",
"y" : "Function without DLMF-Definition. We keep it like it is (but delete prefix \\ if necessary)."
}
}
}
},
"positions" : [ ],
"includes" : [ "u", "\\lim_{u \\to \\pm \\infty} (x(u),\\, y(u)) = (-a,\\, 0)\\;", "y(x)", "a", "(x(t),y(t))", "y", "a,\\, b", "a,b", "x", "(-a,\\, 0)", "a,\\; b" ],
"isPartOf" : [ "\\lim_{u \\to \\pm \\infty} (x(u),\\, y(u)) = (-a,\\, 0)\\;" ],
"definiens" : [ ]
}