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 q = \exp \left(-\frac{1}{2k^2} \right) .}
... is translated to the CAS output ...
Semantic latex: q = \exp(- \frac{1}{2k^2})
Confidence: 0
Mathematica
Translation: q == Exp[-Divide[1,2*(k)^(2)]]
Information
Sub Equations
- q = Exp[-Divide[1,2*(k)^(2)]]
Free variables
- k
- q
Symbol info
- Exponential function; Example: \exp@@{z}
Will be translated to: Exp[$0] Relevant links to definitions: DLMF: http://dlmf.nist.gov/4.2#E19 Mathematica: https://reference.wolfram.com/language/ref/Exp.html
Tests
Symbolic
Test expression: (q)-(Exp[-Divide[1,2*(k)^(2)]])
ERROR:
{
"result": "ERROR",
"testTitle": "Simple",
"testExpression": null,
"resultExpression": null,
"wasAborted": false,
"conditionallySuccessful": false
}
Numeric
SymPy
Translation: q == exp(-(1)/(2*(k)**(2)))
Information
Sub Equations
- q = exp(-(1)/(2*(k)**(2)))
Free variables
- k
- q
Symbol info
- Exponential function; Example: \exp@@{z}
Will be translated to: exp($0) Relevant links to definitions: DLMF: http://dlmf.nist.gov/4.2#E19 SymPy: https://docs.sympy.org/latest/modules/functions/elementary.html#exp
Tests
Symbolic
Numeric
Maple
Translation: q = exp(-(1)/(2*(k)^(2)))
Information
Sub Equations
- q = exp(-(1)/(2*(k)^(2)))
Free variables
- k
- q
Symbol info
- Exponential function; Example: \exp@@{z}
Will be translated to: exp($0) Relevant links to definitions: DLMF: http://dlmf.nist.gov/4.2#E19 Maple: https://www.maplesoft.com/support/help/Maple/view.aspx?path=LinearAlgebra/Trace
Tests
Symbolic
Numeric
Dependency Graph Information
Description
- polynomial
- term of basic hypergeometric function
- Pochhammer symbol
Complete translation information:
{
"id" : "FORMULA_12cecd6c38c48006b123419d6c8721d6",
"formula" : "q = \\exp \\left(-\\frac{1}{2k^2} \\right)",
"semanticFormula" : "q = \\exp(- \\frac{1}{2k^2})",
"confidence" : 0.0,
"translations" : {
"Mathematica" : {
"translation" : "q == Exp[-Divide[1,2*(k)^(2)]]",
"translationInformation" : {
"subEquations" : [ "q = Exp[-Divide[1,2*(k)^(2)]]" ],
"freeVariables" : [ "k", "q" ],
"tokenTranslations" : {
"\\exp" : "Exponential function; Example: \\exp@@{z}\nWill be translated to: Exp[$0]\nRelevant links to definitions:\nDLMF: http://dlmf.nist.gov/4.2#E19\nMathematica: https://reference.wolfram.com/language/ref/Exp.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" : "q",
"rhs" : "Exp[-Divide[1,2*(k)^(2)]]",
"testExpression" : "(q)-(Exp[-Divide[1,2*(k)^(2)]])",
"testCalculations" : [ {
"result" : "ERROR",
"testTitle" : "Simple",
"testExpression" : null,
"resultExpression" : null,
"wasAborted" : false,
"conditionallySuccessful" : false
} ]
} ]
}
},
"SymPy" : {
"translation" : "q == exp(-(1)/(2*(k)**(2)))",
"translationInformation" : {
"subEquations" : [ "q = exp(-(1)/(2*(k)**(2)))" ],
"freeVariables" : [ "k", "q" ],
"tokenTranslations" : {
"\\exp" : "Exponential function; Example: \\exp@@{z}\nWill be translated to: exp($0)\nRelevant links to definitions:\nDLMF: http://dlmf.nist.gov/4.2#E19\nSymPy: https://docs.sympy.org/latest/modules/functions/elementary.html#exp"
}
}
},
"Maple" : {
"translation" : "q = exp(-(1)/(2*(k)^(2)))",
"translationInformation" : {
"subEquations" : [ "q = exp(-(1)/(2*(k)^(2)))" ],
"freeVariables" : [ "k", "q" ],
"tokenTranslations" : {
"\\exp" : "Exponential function; Example: \\exp@@{z}\nWill be translated to: exp($0)\nRelevant links to definitions:\nDLMF: http://dlmf.nist.gov/4.2#E19\nMaple: https://www.maplesoft.com/support/help/Maple/view.aspx?path=LinearAlgebra/Trace"
}
}
}
},
"positions" : [ {
"section" : 1,
"sentence" : 0,
"word" : 18
} ],
"includes" : [ ],
"isPartOf" : [ ],
"definiens" : [ {
"definition" : "polynomial",
"score" : 0.6859086196238077
}, {
"definition" : "term of basic hypergeometric function",
"score" : 0.6859086196238077
}, {
"definition" : "Pochhammer symbol",
"score" : 0.5988174995334326
} ]
}