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 \operatorname{Shi}(x) =\int_0^x \frac {\sinh (t)}{t}\,dt.}
... is translated to the CAS output ...
Semantic latex: \sinhint@{x} = \int_0^x \frac {\sinh (t)}{t} \diff{t}
Confidence: 0.67147715490595
Mathematica
Translation: SinhIntegral[x] == Integrate[Divide[Sinh[t],t], {t, 0, x}, GenerateConditions->None]
Information
Sub Equations
- SinhIntegral[x] = Integrate[Divide[Sinh[t],t], {t, 0, x}, GenerateConditions->None]
Free variables
- x
Symbol info
- Hyperbolic sine; Example: \sinh@@{z}
Will be translated to: Sinh[$0] Relevant links to definitions: DLMF: http://dlmf.nist.gov/4.28#E1 Mathematica: https://reference.wolfram.com/language/ref/Sinh.html
- Hyperbolic sine integral; Example: \sinhint@{z}
Will be translated to: SinhIntegral[$0] Relevant links to definitions: DLMF: http://dlmf.nist.gov/6.2#E15 Mathematica: https://reference.wolfram.com/language/ref/SinhIntegral.html
Tests
Symbolic
Test expression: (SinhIntegral[x])-(Integrate[Divide[Sinh[t],t], {t, 0, x}, GenerateConditions->None])
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: \sinhint [\sinhint]
Tests
Symbolic
Numeric
Maple
Translation: Shi(x) = int((sinh(t))/(t), t = 0..x)
Information
Sub Equations
- Shi(x) = int((sinh(t))/(t), t = 0..x)
Free variables
- x
Symbol info
- Hyperbolic sine; Example: \sinh@@{z}
Will be translated to: sinh($0) Relevant links to definitions: DLMF: http://dlmf.nist.gov/4.28#E1 Maple: https://www.maplesoft.com/support/help/maple/view.aspx?path=sinh
- Hyperbolic sine integral; Example: \sinhint@{z}
Will be translated to: Shi($0) Alternative translations: [int((1-cos(t))/t, t = 0 .. $0)]Relevant links to definitions: DLMF: http://dlmf.nist.gov/6.2#E15 Maple: https://www.maplesoft.com/support/help/maple/view.aspx?path=Shi
Tests
Symbolic
Numeric
Dependency Graph Information
Includes
Is part of
Complete translation information:
{
"id" : "FORMULA_a108d068483bf56c7847c294f6b3ef9d",
"formula" : "\\operatorname{Shi}(x) =\\int_0^x \\frac {\\sinh (t)}{t}dt",
"semanticFormula" : "\\sinhint@{x} = \\int_0^x \\frac {\\sinh (t)}{t} \\diff{t}",
"confidence" : 0.671477154905952,
"translations" : {
"Mathematica" : {
"translation" : "SinhIntegral[x] == Integrate[Divide[Sinh[t],t], {t, 0, x}, GenerateConditions->None]",
"translationInformation" : {
"subEquations" : [ "SinhIntegral[x] = Integrate[Divide[Sinh[t],t], {t, 0, x}, GenerateConditions->None]" ],
"freeVariables" : [ "x" ],
"tokenTranslations" : {
"\\sinh" : "Hyperbolic sine; Example: \\sinh@@{z}\nWill be translated to: Sinh[$0]\nRelevant links to definitions:\nDLMF: http://dlmf.nist.gov/4.28#E1\nMathematica: https://reference.wolfram.com/language/ref/Sinh.html",
"\\sinhint" : "Hyperbolic sine integral; Example: \\sinhint@{z}\nWill be translated to: SinhIntegral[$0]\nRelevant links to definitions:\nDLMF: http://dlmf.nist.gov/6.2#E15\nMathematica: https://reference.wolfram.com/language/ref/SinhIntegral.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" : "SinhIntegral[x]",
"rhs" : "Integrate[Divide[Sinh[t],t], {t, 0, x}, GenerateConditions->None]",
"testExpression" : "(SinhIntegral[x])-(Integrate[Divide[Sinh[t],t], {t, 0, x}, GenerateConditions->None])",
"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: \\sinhint [\\sinhint]"
}
}
},
"Maple" : {
"translation" : "Shi(x) = int((sinh(t))/(t), t = 0..x)",
"translationInformation" : {
"subEquations" : [ "Shi(x) = int((sinh(t))/(t), t = 0..x)" ],
"freeVariables" : [ "x" ],
"tokenTranslations" : {
"\\sinh" : "Hyperbolic sine; Example: \\sinh@@{z}\nWill be translated to: sinh($0)\nRelevant links to definitions:\nDLMF: http://dlmf.nist.gov/4.28#E1\nMaple: https://www.maplesoft.com/support/help/maple/view.aspx?path=sinh",
"\\sinhint" : "Hyperbolic sine integral; Example: \\sinhint@{z}\nWill be translated to: Shi($0)\nAlternative translations: [int((1-cos(t))/t, t = 0 .. $0)]Relevant links to definitions:\nDLMF: http://dlmf.nist.gov/6.2#E15\nMaple: https://www.maplesoft.com/support/help/maple/view.aspx?path=Shi"
}
}
}
},
"positions" : [ ],
"includes" : [ "\\operatorname{Shi}(x) =\\int_0^x \\frac {\\sinh (t)}{t}\\,dt", "x" ],
"isPartOf" : [ "\\operatorname{Shi}(x) =\\int_0^x \\frac {\\sinh (t)}{t}\\,dt" ],
"definiens" : [ ]
}