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 \Gamma}
... is translated to the CAS output ...
Semantic latex: \EulerGamma@{z}
Confidence: 0.50238217085255
Mathematica
Translation: Gamma[z]
Information
Sub Equations
- Gamma[z]
Free variables
- z
Symbol info
- Euler Gamma function; Example: \EulerGamma@{z}
Will be translated to: Gamma[$0] Relevant links to definitions: DLMF: http://dlmf.nist.gov/5.2#E1 Mathematica: https://reference.wolfram.com/language/ref/Gamma.html
Tests
Symbolic
Numeric
SymPy
Translation:
Information
Symbol info
- (LaTeX -> SymPy) No translation possible for given token: Cannot extract information from feature set: \EulerGamma [\EulerGamma]
Tests
Symbolic
Numeric
Maple
Translation: GAMMA(z)
Information
Sub Equations
- GAMMA(z)
Free variables
- z
Symbol info
- Euler Gamma function; Example: \EulerGamma@{z}
Will be translated to: GAMMA($0) Relevant links to definitions: DLMF: http://dlmf.nist.gov/5.2#E1 Maple: https://www.maplesoft.com/support/help/maple/view.aspx?path=GAMMA
Tests
Symbolic
Numeric
Dependency Graph Information
Is part of
Description
- first solution
- gamma function
- second
Complete translation information:
{
"id" : "FORMULA_07710b5c43702a8bb7b9104eacc6ba71",
"formula" : "\\Gamma",
"semanticFormula" : "\\EulerGamma@{z}",
"confidence" : 0.5023821708525518,
"translations" : {
"Mathematica" : {
"translation" : "Gamma[z]",
"translationInformation" : {
"subEquations" : [ "Gamma[z]" ],
"freeVariables" : [ "z" ],
"tokenTranslations" : {
"\\EulerGamma" : "Euler Gamma function; Example: \\EulerGamma@{z}\nWill be translated to: Gamma[$0]\nRelevant links to definitions:\nDLMF: http://dlmf.nist.gov/5.2#E1\nMathematica: https://reference.wolfram.com/language/ref/Gamma.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: \\EulerGamma [\\EulerGamma]"
}
},
"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" : "GAMMA(z)",
"translationInformation" : {
"subEquations" : [ "GAMMA(z)" ],
"freeVariables" : [ "z" ],
"tokenTranslations" : {
"\\EulerGamma" : "Euler Gamma function; Example: \\EulerGamma@{z}\nWill be translated to: GAMMA($0)\nRelevant links to definitions:\nDLMF: http://dlmf.nist.gov/5.2#E1\nMaple: https://www.maplesoft.com/support/help/maple/view.aspx?path=GAMMA"
}
},
"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" : 2,
"sentence" : 1,
"word" : 1
} ],
"includes" : [ ],
"isPartOf" : [ "P_{\\lambda}^{\\mu}(z) = \\frac{1}{\\Gamma(1-\\mu)} \\left[\\frac{1+z}{1-z}\\right]^{\\mu/2} \\,_2F_1 \\left(-\\lambda, \\lambda+1; 1-\\mu; \\frac{1-z}{2}\\right),\\qquad \\text{for } \\ |1-z|<2", "Q_{\\lambda}^{\\mu}(z) = \\frac{\\sqrt{\\pi}\\ \\Gamma(\\lambda+\\mu+1)}{2^{\\lambda+1}\\Gamma(\\lambda+3/2)}\\frac{e^{i\\mu\\pi}(z^2-1)^{\\mu/2}}{z^{\\lambda+\\mu+1}} \\,_2F_1 \\left(\\frac{\\lambda+\\mu+1}{2}, \\frac{\\lambda+\\mu+2}{2}; \\lambda+\\frac{3}{2}; \\frac{1}{z^2}\\right),\\qquad \\text{for}\\ \\ |z|>1" ],
"definiens" : [ {
"definition" : "first solution",
"score" : 0.7125985104912714
}, {
"definition" : "gamma function",
"score" : 0.7125985104912714
}, {
"definition" : "second",
"score" : 0.7125985104912714
} ]
}