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{Si}(ix) = i\operatorname{Shi}(x).}
... is translated to the CAS output ...
Semantic latex: \sinint@{\iunit x} = \iunit \operatorname{Shi}(x)
Confidence: 0.88116631009685
Mathematica
Translation: SinIntegral[I*x] == I*Shi[x]
Information
Sub Equations
- SinIntegral[I*x] = I*Shi[x]
Free variables
- x
Symbol info
- Was interpreted as a function call because of a leading \operatorname.
- Imaginary unit was translated to: I
- Sine integral; Example: \sinint@{z}
Will be translated to: SinIntegral[$0] Relevant links to definitions: DLMF: http://dlmf.nist.gov/6.2#E9 Mathematica: https://reference.wolfram.com/language/ref/SinIntegral.html
Tests
Symbolic
Test expression: (SinIntegral[I*x])-(I*Shi[x])
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: \sinint [\sinint]
Tests
Symbolic
Numeric
Maple
Translation: Si(I*x) = I*Shi(x)
Information
Sub Equations
- Si(I*x) = I*Shi(x)
Free variables
- x
Symbol info
- Was interpreted as a function call because of a leading \operatorname.
- Imaginary unit was translated to: I
- Sine integral; Example: \sinint@{z}
Will be translated to: Si($0) Relevant links to definitions: DLMF: http://dlmf.nist.gov/6.2#E9 Maple: https://www.maplesoft.com/support/help/maple/view.aspx?path=Si
Tests
Symbolic
Numeric
Dependency Graph Information
Includes
Description
- ordinary sine
Complete translation information:
{
"id" : "FORMULA_0feb8031b89a9707b164163ec50265f0",
"formula" : "\\operatorname{Si}(ix) = i\\operatorname{Shi}(x)",
"semanticFormula" : "\\sinint@{\\iunit x} = \\iunit \\operatorname{Shi}(x)",
"confidence" : 0.8811663100968549,
"translations" : {
"Mathematica" : {
"translation" : "SinIntegral[I*x] == I*Shi[x]",
"translationInformation" : {
"subEquations" : [ "SinIntegral[I*x] = I*Shi[x]" ],
"freeVariables" : [ "x" ],
"tokenTranslations" : {
"Shi" : "Was interpreted as a function call because of a leading \\operatorname.",
"\\iunit" : "Imaginary unit was translated to: I",
"\\sinint" : "Sine integral; Example: \\sinint@{z}\nWill be translated to: SinIntegral[$0]\nRelevant links to definitions:\nDLMF: http://dlmf.nist.gov/6.2#E9\nMathematica: https://reference.wolfram.com/language/ref/SinIntegral.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" : "SinIntegral[I*x]",
"rhs" : "I*Shi[x]",
"testExpression" : "(SinIntegral[I*x])-(I*Shi[x])",
"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: \\sinint [\\sinint]"
}
}
},
"Maple" : {
"translation" : "Si(I*x) = I*Shi(x)",
"translationInformation" : {
"subEquations" : [ "Si(I*x) = I*Shi(x)" ],
"freeVariables" : [ "x" ],
"tokenTranslations" : {
"Shi" : "Was interpreted as a function call because of a leading \\operatorname.",
"\\iunit" : "Imaginary unit was translated to: I",
"\\sinint" : "Sine integral; Example: \\sinint@{z}\nWill be translated to: Si($0)\nRelevant links to definitions:\nDLMF: http://dlmf.nist.gov/6.2#E9\nMaple: https://www.maplesoft.com/support/help/maple/view.aspx?path=Si"
}
}
}
},
"positions" : [ {
"section" : 3,
"sentence" : 1,
"word" : 9
} ],
"includes" : [ "Si", "Si(x)", "x" ],
"isPartOf" : [ ],
"definiens" : [ {
"definition" : "ordinary sine",
"score" : 0.6859086196238077
} ]
}