LaTeX to CAS translator
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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 q = e^{2i\pi\tau}}
... is translated to the CAS output ...
Semantic latex: q = \expe^{2 \iunit \cpi \tau}
Confidence: 0
Mathematica
Translation: q == Exp[2*I*Pi*\[Tau]]
Information
Sub Equations
- q = Exp[2*I*Pi*\[Tau]]
Free variables
- \[Tau]
- q
Symbol info
- Recognizes e with power as the exponential function. It was translated as a function.
- Imaginary unit was translated to: I
- Pi was translated to: Pi
Tests
Symbolic
Test expression: (q)-(Exp[2*I*Pi*\[Tau]])
ERROR:
{
"result": "ERROR",
"testTitle": "Simple",
"testExpression": null,
"resultExpression": null,
"wasAborted": false,
"conditionallySuccessful": false
}
Numeric
SymPy
Translation: q == exp(2*I*pi*Symbol('tau'))
Information
Sub Equations
- q = exp(2*I*pi*Symbol('tau'))
Free variables
- Symbol('tau')
- q
Symbol info
- Recognizes e with power as the exponential function. It was translated as a function.
- Imaginary unit was translated to: I
- Pi was translated to: pi
Tests
Symbolic
Numeric
Maple
Translation: q = exp(2*I*Pi*tau)
Information
Sub Equations
- q = exp(2*I*Pi*tau)
Free variables
- q
- tau
Symbol info
- Recognizes e with power as the exponential function. It was translated as a function.
- Imaginary unit was translated to: I
- Pi was translated to: Pi
Tests
Symbolic
Numeric
Dependency Graph Information
Description
- power series
- theta function of an integral lattice
- coefficient
- number of lattice vector
- norm
Complete translation information:
{
"id" : "FORMULA_2107779565348eb246bd0cd86956f98a",
"formula" : "q = e^{2i\\pi\\tau}",
"semanticFormula" : "q = \\expe^{2 \\iunit \\cpi \\tau}",
"confidence" : 0.0,
"translations" : {
"Mathematica" : {
"translation" : "q == Exp[2*I*Pi*\\[Tau]]",
"translationInformation" : {
"subEquations" : [ "q = Exp[2*I*Pi*\\[Tau]]" ],
"freeVariables" : [ "\\[Tau]", "q" ],
"tokenTranslations" : {
"\\expe" : "Recognizes e with power as the exponential function. It was translated as a function.",
"\\iunit" : "Imaginary unit was translated to: I",
"\\cpi" : "Pi was translated to: Pi"
}
},
"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" : "q",
"rhs" : "Exp[2*I*Pi*\\[Tau]]",
"testExpression" : "(q)-(Exp[2*I*Pi*\\[Tau]])",
"testCalculations" : [ {
"result" : "ERROR",
"testTitle" : "Simple",
"testExpression" : null,
"resultExpression" : null,
"wasAborted" : false,
"conditionallySuccessful" : false
} ]
} ]
}
},
"SymPy" : {
"translation" : "q == exp(2*I*pi*Symbol('tau'))",
"translationInformation" : {
"subEquations" : [ "q = exp(2*I*pi*Symbol('tau'))" ],
"freeVariables" : [ "Symbol('tau')", "q" ],
"tokenTranslations" : {
"\\expe" : "Recognizes e with power as the exponential function. It was translated as a function.",
"\\iunit" : "Imaginary unit was translated to: I",
"\\cpi" : "Pi was translated to: pi"
}
}
},
"Maple" : {
"translation" : "q = exp(2*I*Pi*tau)",
"translationInformation" : {
"subEquations" : [ "q = exp(2*I*Pi*tau)" ],
"freeVariables" : [ "q", "tau" ],
"tokenTranslations" : {
"\\expe" : "Recognizes e with power as the exponential function. It was translated as a function.",
"\\iunit" : "Imaginary unit was translated to: I",
"\\cpi" : "Pi was translated to: Pi"
}
}
}
},
"positions" : [ {
"section" : 1,
"sentence" : 3,
"word" : 15
} ],
"includes" : [ ],
"isPartOf" : [ ],
"definiens" : [ {
"definition" : "power series",
"score" : 0.7125985104912714
}, {
"definition" : "theta function of an integral lattice",
"score" : 0.6460746792928004
}, {
"definition" : "coefficient",
"score" : 0.5988174995334326
}, {
"definition" : "number of lattice vector",
"score" : 0.5988174995334326
}, {
"definition" : "norm",
"score" : 0.5049074255814494
} ]
}