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 \psi(x)}
... is translated to the CAS output ...
Semantic latex: \digamma@{x}
Confidence: 0.90733333333333
Mathematica
Translation: PolyGamma[x]
Information
Sub Equations
- PolyGamma[x]
Free variables
- x
Symbol info
- Digamma / Psi function; Example: \digamma@{z}
Will be translated to: PolyGamma[$0] Constraints: z not element of {0, -1, -2, ...} Relevant links to definitions: DLMF: http://dlmf.nist.gov/5.2#E2 Mathematica: https://reference.wolfram.com/language/ref/PolyGamma.html
Tests
Symbolic
Numeric
SymPy
Translation:
Information
Symbol info
- (LaTeX -> SymPy) No translation possible for given token: Cannot extract information from feature set: \digamma [\digamma]
Tests
Symbolic
Numeric
Maple
Translation: Psi(x)
Information
Sub Equations
- Psi(x)
Free variables
- x
Symbol info
- Digamma / Psi function; Example: \digamma@{z}
Will be translated to: Psi($0) Constraints: z not element of {0, -1, -2, ...} Relevant links to definitions: DLMF: http://dlmf.nist.gov/5.2#E2 Maple: https://www.maplesoft.com/support/help/maple/view.aspx?path=Psi
Tests
Symbolic
Numeric
Dependency Graph Information
Includes
Is part of
Description
- digamma function
Complete translation information:
{
"id" : "FORMULA_e5a23578cdb4d60badd4ca7cea6cdc55",
"formula" : "\\psi(x)",
"semanticFormula" : "\\digamma@{x}",
"confidence" : 0.9073333333333333,
"translations" : {
"Mathematica" : {
"translation" : "PolyGamma[x]",
"translationInformation" : {
"subEquations" : [ "PolyGamma[x]" ],
"freeVariables" : [ "x" ],
"tokenTranslations" : {
"\\digamma" : "Digamma / Psi function; Example: \\digamma@{z}\nWill be translated to: PolyGamma[$0]\nConstraints: z not element of {0, -1, -2, ...}\nRelevant links to definitions:\nDLMF: http://dlmf.nist.gov/5.2#E2\nMathematica: https://reference.wolfram.com/language/ref/PolyGamma.html"
}
},
"numericResults" : {
"overallResult" : "SKIPPED",
"numberOfTests" : 0,
"numberOfFailedTests" : 0,
"numberOfSuccessfulTests" : 0,
"numberOfSkippedTests" : 0,
"numberOfErrorTests" : 0,
"wasAborted" : false,
"crashed" : false,
"testCalculationsGroups" : [ ]
},
"symbolicResults" : {
"overallResult" : "SKIPPED",
"numberOfTests" : 0,
"numberOfFailedTests" : 0,
"numberOfSuccessfulTests" : 0,
"numberOfSkippedTests" : 0,
"numberOfErrorTests" : 0,
"crashed" : false,
"testCalculationsGroup" : [ ]
}
},
"SymPy" : {
"translation" : "",
"translationInformation" : {
"tokenTranslations" : {
"Error" : "(LaTeX -> SymPy) No translation possible for given token: Cannot extract information from feature set: \\digamma [\\digamma]"
}
},
"numericResults" : {
"overallResult" : "SKIPPED",
"numberOfTests" : 0,
"numberOfFailedTests" : 0,
"numberOfSuccessfulTests" : 0,
"numberOfSkippedTests" : 0,
"numberOfErrorTests" : 0,
"wasAborted" : false,
"crashed" : false,
"testCalculationsGroups" : [ ]
},
"symbolicResults" : {
"overallResult" : "SKIPPED",
"numberOfTests" : 0,
"numberOfFailedTests" : 0,
"numberOfSuccessfulTests" : 0,
"numberOfSkippedTests" : 0,
"numberOfErrorTests" : 0,
"crashed" : false,
"testCalculationsGroup" : [ ]
}
},
"Maple" : {
"translation" : "Psi(x)",
"translationInformation" : {
"subEquations" : [ "Psi(x)" ],
"freeVariables" : [ "x" ],
"tokenTranslations" : {
"\\digamma" : "Digamma / Psi function; Example: \\digamma@{z}\nWill be translated to: Psi($0)\nConstraints: z not element of {0, -1, -2, ...}\nRelevant links to definitions:\nDLMF: http://dlmf.nist.gov/5.2#E2\nMaple: https://www.maplesoft.com/support/help/maple/view.aspx?path=Psi"
}
},
"numericResults" : {
"overallResult" : "SKIPPED",
"numberOfTests" : 0,
"numberOfFailedTests" : 0,
"numberOfSuccessfulTests" : 0,
"numberOfSkippedTests" : 0,
"numberOfErrorTests" : 0,
"wasAborted" : false,
"crashed" : false,
"testCalculationsGroups" : [ ]
},
"symbolicResults" : {
"overallResult" : "SKIPPED",
"numberOfTests" : 0,
"numberOfFailedTests" : 0,
"numberOfSuccessfulTests" : 0,
"numberOfSkippedTests" : 0,
"numberOfErrorTests" : 0,
"crashed" : false,
"testCalculationsGroup" : [ ]
}
}
},
"positions" : [ {
"section" : 3,
"sentence" : 0,
"word" : 5
} ],
"includes" : [ "x" ],
"isPartOf" : [ "\\frac{\\partial}{\\partial x} \\mathrm{B}(x, y) = \\mathrm{B}(x, y) \\left( \\frac{\\Gamma'(x)}{\\Gamma(x)} - \\frac{\\Gamma'(x + y)}{\\Gamma(x + y)} \\right) = \\mathrm{B}(x, y) \\big(\\psi(x) - \\psi(x + y)\\big)" ],
"definiens" : [ {
"definition" : "digamma function",
"score" : 0.722
} ]
}