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(n)}
... is translated to the CAS output ...
Semantic latex: \digamma@{n}
Confidence: 0.90733333333333
Mathematica
Translation: PolyGamma[n]
Information
Sub Equations
- PolyGamma[n]
Free variables
- n
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(n)
Information
Sub Equations
- Psi(n)
Free variables
- n
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
Is part of
Description
- digamma function
- positive integer
- n
- series
Complete translation information:
{
"id" : "FORMULA_7da287458ef16510a6a1683c9580d63c",
"formula" : "\\psi(n)",
"semanticFormula" : "\\digamma@{n}",
"confidence" : 0.9073333333333333,
"translations" : {
"Mathematica" : {
"translation" : "PolyGamma[n]",
"translationInformation" : {
"subEquations" : [ "PolyGamma[n]" ],
"freeVariables" : [ "n" ],
"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(n)",
"translationInformation" : {
"subEquations" : [ "Psi(n)" ],
"freeVariables" : [ "n" ],
"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" : 5,
"sentence" : 5,
"word" : 26
} ],
"includes" : [ ],
"isPartOf" : [ "\\Phi(z,n,a)=z^{-a}\\left\\{\\sum_{{k=0}\\atop k\\neq n-1}^ \\infty \\zeta(n-k,a)\\frac{\\log^k (z)}{k!}+\\left[\\psi(n)-\\psi(a)-\\log(-\\log(z))\\right]\\frac{\\log^{n-1}(z)}{(n-1)!}\\right\\}" ],
"definiens" : [ {
"definition" : "digamma function",
"score" : 0.722
}, {
"definition" : "positive integer",
"score" : 0.7125985104912714
}, {
"definition" : "n",
"score" : 0.6859086196238077
}, {
"definition" : "series",
"score" : 0.6460746792928004
} ]
}