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 |\log(z)|<2 \pi;s\neq 1,2,3,\dots; a\neq 0,-1,-2,\dots}
... is translated to the CAS output ...
Semantic latex: |\log(z)|< 2 \cpi ; s \neq 1 , 2 , 3 , \dots ; a \neq 0 , - 1 , - 2 , \dots
Confidence: 0
Mathematica
Translation: Abs[Log[z]] < 2*Pi s \[NotEqual]1 , 2 , 3 , \[Ellipsis]; a \[NotEqual]0 , - 1 , - 2 , \[Ellipsis]
Information
Sub Equations
- 2*Pi
s <> 1 , 2 , 3 , \[Ellipsis]; a
Free variables
- a
- s
- z
Symbol info
- Pi was translated to: Pi
- Logarithm; Example: \log@@{z}
Will be translated to: Log[$0] Constraints: z != 0 Branch Cuts: (-\infty, 0] Relevant links to definitions: DLMF: http://dlmf.nist.gov/4.2#E2 Mathematica: https://reference.wolfram.com/language/ref/Log.html
Tests
Symbolic
Numeric
SymPy
Translation:
Information
Symbol info
- (LaTeX -> SymPy) No translation possible for given token: Unknown relation. Cannot translate: \neq [\neq]
Tests
Symbolic
Numeric
Maple
Translation: abs(log(z)) < 2*Pi; s <> 1 , 2 , 3 , .. ; a <> 0 , - 1 , - 2 , ..
Information
Sub Equations
- 2*Pi; s <> 1 , 2 , 3 , .. ; a
Free variables
- a
- s
- z
Symbol info
- Pi was translated to: Pi
- Logarithm; Example: \log@@{z}
Will be translated to: log($0) Constraints: z != 0 Branch Cuts: (-\infty, 0] Relevant links to definitions: DLMF: http://dlmf.nist.gov/4.2#E2 Maple: https://www.maplesoft.com/support/help/maple/view.aspx?path=log
Tests
Symbolic
Numeric
Dependency Graph Information
Includes
Description
- digamma function
- positive integer
- series
- n
Complete translation information:
{
"id" : "FORMULA_da4212a136305409709df2885e51fee0",
"formula" : "|\\log(z)|<2 \\pi;s\\neq 1,2,3,\\dots; a\\neq 0,-1,-2,\\dots",
"semanticFormula" : "|\\log(z)|< 2 \\cpi ; s \\neq 1 , 2 , 3 , \\dots ; a \\neq 0 , - 1 , - 2 , \\dots",
"confidence" : 0.0,
"translations" : {
"Mathematica" : {
"translation" : "Abs[Log[z]] < 2*Pi\n s \\[NotEqual]1 , 2 , 3 , \\[Ellipsis]; a \\[NotEqual]0 , - 1 , - 2 , \\[Ellipsis]",
"translationInformation" : {
"subEquations" : [ "2*Pi\n s <> 1 , 2 , 3 , \\[Ellipsis]; a" ],
"freeVariables" : [ "a", "s", "z" ],
"tokenTranslations" : {
"\\cpi" : "Pi was translated to: Pi",
"\\log" : "Logarithm; Example: \\log@@{z}\nWill be translated to: Log[$0]\nConstraints: z != 0\nBranch Cuts: (-\\infty, 0]\nRelevant links to definitions:\nDLMF: http://dlmf.nist.gov/4.2#E2\nMathematica: https://reference.wolfram.com/language/ref/Log.html"
}
}
},
"SymPy" : {
"translation" : "",
"translationInformation" : {
"tokenTranslations" : {
"Error" : "(LaTeX -> SymPy) No translation possible for given token: Unknown relation. Cannot translate: \\neq [\\neq]"
}
}
},
"Maple" : {
"translation" : "abs(log(z)) < 2*Pi; s <> 1 , 2 , 3 , .. ; a <> 0 , - 1 , - 2 , ..",
"translationInformation" : {
"subEquations" : [ "2*Pi; s <> 1 , 2 , 3 , .. ; a" ],
"freeVariables" : [ "a", "s", "z" ],
"tokenTranslations" : {
"\\cpi" : "Pi was translated to: Pi",
"\\log" : "Logarithm; Example: \\log@@{z}\nWill be translated to: log($0)\nConstraints: z != 0\nBranch Cuts: (-\\infty, 0]\nRelevant links to definitions:\nDLMF: http://dlmf.nist.gov/4.2#E2\nMaple: https://www.maplesoft.com/support/help/maple/view.aspx?path=log"
}
}
}
},
"positions" : [ {
"section" : 5,
"sentence" : 5,
"word" : 13
} ],
"includes" : [ "z", "s", "a" ],
"isPartOf" : [ ],
"definiens" : [ {
"definition" : "digamma function",
"score" : 0.6859086196238077
}, {
"definition" : "positive integer",
"score" : 0.6859086196238077
}, {
"definition" : "series",
"score" : 0.6859086196238077
}, {
"definition" : "n",
"score" : 0.6460746792928004
} ]
}