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 y = mx \pm\sqrt{m^2 a^2 + b^2}\; .}
... is translated to the CAS output ...
Semantic latex: y = mx \pm\sqrt{m^2 a^2 + b^2}
Confidence: 0
Mathematica
Translation: y == m*x \[PlusMinus]Sqrt[(m)^(2)* (a)^(2)+ (b)^(2)]
Information
Sub Equations
- y = m*x +Sqrt[(m)^(2)* (a)^(2)+ (b)^(2)]
- y = m*x -Sqrt[(m)^(2)* (a)^(2)+ (b)^(2)]
Free variables
- a
- b
- m
- x
- y
Symbol info
- was translated to: \[PlusMinus]
- Found a potential abbreviation. This program cannot translate abbreviations. Hence it was interpreted as a sequence of variable multiplications, e.g. 'etc' -> 'e*t*c'.
Tests
Symbolic
Test expression: (y)-(m*x +Sqrt[(m)^(2)* (a)^(2)+ (b)^(2)])
ERROR:
{
"result": "ERROR",
"testTitle": "Simple",
"testExpression": null,
"resultExpression": null,
"wasAborted": false,
"conditionallySuccessful": false
}
Test expression: (y)-(m*x -Sqrt[(m)^(2)* (a)^(2)+ (b)^(2)])
ERROR:
{
"result": "ERROR",
"testTitle": "Simple",
"testExpression": null,
"resultExpression": null,
"wasAborted": false,
"conditionallySuccessful": false
}
Numeric
SymPy
Translation:
Information
Symbol info
- (LaTeX -> SymPy) An unknown or missing element occurred: Cannot translate operation \pm
Tests
Symbolic
Numeric
Maple
Translation: y = m*x &+- sqrt((m)^(2)* (a)^(2)+ (b)^(2))
Information
Sub Equations
- y = m*x +sqrt((m)^(2)* (a)^(2)+ (b)^(2))
- y = m*x -sqrt((m)^(2)* (a)^(2)+ (b)^(2))
Free variables
- a
- b
- m
- x
- y
Symbol info
- was translated to: &+-
- Found a potential abbreviation. This program cannot translate abbreviations. Hence it was interpreted as a sequence of variable multiplications, e.g. 'etc' -> 'e*t*c'.
Tests
Symbolic
Numeric
Dependency Graph Information
Includes
Is part of
Complete translation information:
{
"id" : "FORMULA_80d5a819b4f3522a25671256b0319001",
"formula" : "y = mx \\pm\\sqrt{m^2 a^2 + b^2}",
"semanticFormula" : "y = mx \\pm\\sqrt{m^2 a^2 + b^2}",
"confidence" : 0.0,
"translations" : {
"Mathematica" : {
"translation" : "y == m*x \\[PlusMinus]Sqrt[(m)^(2)* (a)^(2)+ (b)^(2)]",
"translationInformation" : {
"subEquations" : [ "y = m*x +Sqrt[(m)^(2)* (a)^(2)+ (b)^(2)]", "y = m*x -Sqrt[(m)^(2)* (a)^(2)+ (b)^(2)]" ],
"freeVariables" : [ "a", "b", "m", "x", "y" ],
"tokenTranslations" : {
"\\pm" : "was translated to: \\[PlusMinus]",
"mx" : "Found a potential abbreviation. This program cannot translate abbreviations. Hence it was interpreted as a sequence of variable multiplications, e.g. 'etc' -> 'e*t*c'."
}
},
"numericResults" : {
"overallResult" : "SKIPPED",
"numberOfTests" : 0,
"numberOfFailedTests" : 0,
"numberOfSuccessfulTests" : 0,
"numberOfSkippedTests" : 0,
"numberOfErrorTests" : 0,
"wasAborted" : false,
"crashed" : false,
"testCalculationsGroups" : [ ]
},
"symbolicResults" : {
"overallResult" : "ERROR",
"numberOfTests" : 2,
"numberOfFailedTests" : 0,
"numberOfSuccessfulTests" : 0,
"numberOfSkippedTests" : 0,
"numberOfErrorTests" : 2,
"crashed" : false,
"testCalculationsGroup" : [ {
"lhs" : "y",
"rhs" : "m*x +Sqrt[(m)^(2)* (a)^(2)+ (b)^(2)]",
"testExpression" : "(y)-(m*x +Sqrt[(m)^(2)* (a)^(2)+ (b)^(2)])",
"testCalculations" : [ {
"result" : "ERROR",
"testTitle" : "Simple",
"testExpression" : null,
"resultExpression" : null,
"wasAborted" : false,
"conditionallySuccessful" : false
} ]
}, {
"lhs" : "y",
"rhs" : "m*x -Sqrt[(m)^(2)* (a)^(2)+ (b)^(2)]",
"testExpression" : "(y)-(m*x -Sqrt[(m)^(2)* (a)^(2)+ (b)^(2)])",
"testCalculations" : [ {
"result" : "ERROR",
"testTitle" : "Simple",
"testExpression" : null,
"resultExpression" : null,
"wasAborted" : false,
"conditionallySuccessful" : false
} ]
} ]
}
},
"SymPy" : {
"translation" : "",
"translationInformation" : {
"tokenTranslations" : {
"Error" : "(LaTeX -> SymPy) An unknown or missing element occurred: Cannot translate operation \\pm"
}
}
},
"Maple" : {
"translation" : "y = m*x &+- sqrt((m)^(2)* (a)^(2)+ (b)^(2))",
"translationInformation" : {
"subEquations" : [ "y = m*x +sqrt((m)^(2)* (a)^(2)+ (b)^(2))", "y = m*x -sqrt((m)^(2)* (a)^(2)+ (b)^(2))" ],
"freeVariables" : [ "a", "b", "m", "x", "y" ],
"tokenTranslations" : {
"\\pm" : "was translated to: &+-",
"mx" : "Found a potential abbreviation. This program cannot translate abbreviations. Hence it was interpreted as a sequence of variable multiplications, e.g. 'etc' -> 'e*t*c'."
}
}
}
},
"positions" : [ ],
"includes" : [ "b", "y = mx \\pm\\sqrt{m^2 a^2 + b^2}\\;", "a", "y", "m", "\\pi b^2" ],
"isPartOf" : [ "y = mx \\pm\\sqrt{m^2 a^2 + b^2}\\;" ],
"definiens" : [ ]
}