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 H(y) = 2\pi^{-1/2} F(y) }
... is translated to the CAS output ...
Semantic latex: \HeavisideH@{y} = 2 \cpi^{-1/2} F(y)
Confidence: 0.66892330633843
Mathematica
Translation: HeavisideTheta[y] == 2*(Pi)^(- 1/2)* F[y]
Information
Sub Equations
- HeavisideTheta[y] = 2*(Pi)^(- 1/2)* F[y]
Free variables
- y
Symbol info
- Heaviside step function; Example: \HeavisideH@{x}
Will be translated to: HeavisideTheta[$0] Relevant links to definitions: DLMF: http://dlmf.nist.gov/1.16#E13 Mathematica: https://reference.wolfram.com/language/ref/HeavisideTheta.html
- Function without DLMF-Definition. We keep it like it is (but delete prefix \ if necessary).
- Pi was translated to: Pi
Tests
Symbolic
Test expression: (HeavisideTheta[y])-(2*(Pi)^(- 1/2)* F*(y))
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: \HeavisideH [\HeavisideH]
Tests
Symbolic
Numeric
Maple
Translation: Heaviside(y) = 2*(Pi)^(- 1/2)* F(y)
Information
Sub Equations
- Heaviside(y) = 2*(Pi)^(- 1/2)* F(y)
Free variables
- y
Symbol info
- Heaviside step function; Example: \HeavisideH@{x}
Will be translated to: Heaviside($0) Relevant links to definitions: DLMF: http://dlmf.nist.gov/1.16#E13 Maple: https://www.maplesoft.com/support/help/maple/view.aspx?path=Heaviside
- Function without DLMF-Definition. We keep it like it is (but delete prefix \ if necessary).
- Pi was translated to: Pi
Tests
Symbolic
Numeric
Dependency Graph Information
Includes
Description
- Dawson function
- imaginary part of the result
Complete translation information:
{
"id" : "FORMULA_ce1cf0e8f1490ae0c1d1ceda8efa80d7",
"formula" : "H(y) = 2\\pi^{-1/2} F(y)",
"semanticFormula" : "\\HeavisideH@{y} = 2 \\cpi^{-1/2} F(y)",
"confidence" : 0.6689233063384251,
"translations" : {
"Mathematica" : {
"translation" : "HeavisideTheta[y] == 2*(Pi)^(- 1/2)* F[y]",
"translationInformation" : {
"subEquations" : [ "HeavisideTheta[y] = 2*(Pi)^(- 1/2)* F[y]" ],
"freeVariables" : [ "y" ],
"tokenTranslations" : {
"\\HeavisideH" : "Heaviside step function; Example: \\HeavisideH@{x}\nWill be translated to: HeavisideTheta[$0]\nRelevant links to definitions:\nDLMF: http://dlmf.nist.gov/1.16#E13\nMathematica: https://reference.wolfram.com/language/ref/HeavisideTheta.html",
"F" : "Function without DLMF-Definition. We keep it like it is (but delete prefix \\ if necessary).",
"\\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" : "HeavisideTheta[y]",
"rhs" : "2*(Pi)^(- 1/2)* F*(y)",
"testExpression" : "(HeavisideTheta[y])-(2*(Pi)^(- 1/2)* F*(y))",
"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: \\HeavisideH [\\HeavisideH]"
}
}
},
"Maple" : {
"translation" : "Heaviside(y) = 2*(Pi)^(- 1/2)* F(y)",
"translationInformation" : {
"subEquations" : [ "Heaviside(y) = 2*(Pi)^(- 1/2)* F(y)" ],
"freeVariables" : [ "y" ],
"tokenTranslations" : {
"\\HeavisideH" : "Heaviside step function; Example: \\HeavisideH@{x}\nWill be translated to: Heaviside($0)\nRelevant links to definitions:\nDLMF: http://dlmf.nist.gov/1.16#E13\nMaple: https://www.maplesoft.com/support/help/maple/view.aspx?path=Heaviside",
"F" : "Function without DLMF-Definition. We keep it like it is (but delete prefix \\ if necessary).",
"\\cpi" : "Pi was translated to: Pi"
}
}
}
},
"positions" : [ {
"section" : 2,
"sentence" : 4,
"word" : 8
} ],
"includes" : [ "H(y)", "F(x)", "y", "F(y)" ],
"isPartOf" : [ ],
"definiens" : [ {
"definition" : "Dawson function",
"score" : 0.7125985104912714
}, {
"definition" : "imaginary part of the result",
"score" : 0.6460746792928004
} ]
}