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 k\;{}_1F_1(a;b;z)+l z^{1-b}\;{}_1F_1(1+a-b;2-b;z)}
... is translated to the CAS output ...
Semantic latex: k \genhyperOlverF{1}{1}@{a}{b}{z} + l z^{1-b} \genhyperOlverF{1}{1}@{1 + a - b}{2 - b}{z}
Confidence: 0.590644490859
Mathematica
Translation: k*HypergeometricPFQRegularized[{a}, {b}, z]+ l*(z)^(1 - b)* HypergeometricPFQRegularized[{1 + a - b}, {2 - b}, z]
Information
Sub Equations
- k*HypergeometricPFQRegularized[{a}, {b}, z]+ l*(z)^(1 - b)* HypergeometricPFQRegularized[{1 + a - b}, {2 - b}, z]
Free variables
- a
- b
- k
- l
- z
Symbol info
- Olver's generalized hypergeometric function; Example: \genhyperOlverF{p}{q}@@{\Vector{a}}{\Vector{b}}{z}
Will be translated to: HypergeometricPFQRegularized[{$2}, {$3}, $4] Relevant links to definitions: DLMF: http://dlmf.nist.gov/16.2#E5 Mathematica: https://reference.wolfram.com/language/ref/HypergeometricPFQRegularized.html
Tests
Symbolic
Numeric
SymPy
Translation:
Information
Symbol info
- (LaTeX -> SymPy) No translation possible for given token: Cannot extract information from feature set: \genhyperOlverF [\genhyperOlverF]
Tests
Symbolic
Numeric
Maple
Translation: k*hypergeom([a], [b], z)+ l*(z)^(1 - b)* hypergeom([1 + a - b], [2 - b], z)
Information
Sub Equations
- k*hypergeom([a], [b], z)+ l*(z)^(1 - b)* hypergeom([1 + a - b], [2 - b], z)
Free variables
- a
- b
- k
- l
- z
Symbol info
- Olver's generalized hypergeometric function; Example: \genhyperOlverF{p}{q}@@{\Vector{a}}{\Vector{b}}{z}
Will be translated to: hypergeom([$2], [$3], $4) Relevant links to definitions: DLMF: http://dlmf.nist.gov/16.2#E5 Maple: https://www.maplesoft.com/support/help/maple/view.aspx?path=hypergeom
Tests
Symbolic
Numeric
Dependency Graph Information
Includes
Is part of
Complete translation information:
{
"id" : "FORMULA_0319710edd31812bd6dcbe390d87c935",
"formula" : "k{}_1F_1(a;b;z)+l z^{1-b}{}_1F_1(1+a-b;2-b;z)",
"semanticFormula" : "k \\genhyperOlverF{1}{1}@{a}{b}{z} + l z^{1-b} \\genhyperOlverF{1}{1}@{1 + a - b}{2 - b}{z}",
"confidence" : 0.590644490858996,
"translations" : {
"Mathematica" : {
"translation" : "k*HypergeometricPFQRegularized[{a}, {b}, z]+ l*(z)^(1 - b)* HypergeometricPFQRegularized[{1 + a - b}, {2 - b}, z]",
"translationInformation" : {
"subEquations" : [ "k*HypergeometricPFQRegularized[{a}, {b}, z]+ l*(z)^(1 - b)* HypergeometricPFQRegularized[{1 + a - b}, {2 - b}, z]" ],
"freeVariables" : [ "a", "b", "k", "l", "z" ],
"tokenTranslations" : {
"\\genhyperOlverF" : "Olver's generalized hypergeometric function; Example: \\genhyperOlverF{p}{q}@@{\\Vector{a}}{\\Vector{b}}{z}\nWill be translated to: HypergeometricPFQRegularized[{$2}, {$3}, $4]\nRelevant links to definitions:\nDLMF: http://dlmf.nist.gov/16.2#E5\nMathematica: https://reference.wolfram.com/language/ref/HypergeometricPFQRegularized.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: \\genhyperOlverF [\\genhyperOlverF]"
}
},
"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" : "k*hypergeom([a], [b], z)+ l*(z)^(1 - b)* hypergeom([1 + a - b], [2 - b], z)",
"translationInformation" : {
"subEquations" : [ "k*hypergeom([a], [b], z)+ l*(z)^(1 - b)* hypergeom([1 + a - b], [2 - b], z)" ],
"freeVariables" : [ "a", "b", "k", "l", "z" ],
"tokenTranslations" : {
"\\genhyperOlverF" : "Olver's generalized hypergeometric function; Example: \\genhyperOlverF{p}{q}@@{\\Vector{a}}{\\Vector{b}}{z}\nWill be translated to: hypergeom([$2], [$3], $4)\nRelevant links to definitions:\nDLMF: http://dlmf.nist.gov/16.2#E5\nMaple: https://www.maplesoft.com/support/help/maple/view.aspx?path=hypergeom"
}
},
"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" : [ ],
"includes" : [ "a", "{}_1F_1(a;b;z)", "k", "z", "z^{1-b}\\;{}_1F_1(1+a-b;2-b;z)", "z)", "b", "{}_pF_q", "_{p}F_{q}", "_{1}F_{1}", "M(a;b;z)", "k\\;{}_1F_1(a;b;z)+l z^{1-b}\\;{}_1F_1(1+a-b;2-b;z)" ],
"isPartOf" : [ "k\\;{}_1F_1(a;b;z)+l z^{1-b}\\;{}_1F_1(1+a-b;2-b;z)" ],
"definiens" : [ ]
}