LaTeX to CAS translator
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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 \theta = 0}
... is translated to the CAS output ...
Semantic latex: \theta = 0
Confidence: 0
Mathematica
Translation: \[Theta] == 0
Information
Sub Equations
- \[Theta] = 0
Free variables
- \[Theta]
Tests
Symbolic
Test expression: (\[Theta])-(0)
ERROR:
{
"result": "ERROR",
"testTitle": "Simple",
"testExpression": null,
"resultExpression": null,
"wasAborted": false,
"conditionallySuccessful": false
}
Numeric
SymPy
Translation: Symbol('theta') == 0
Information
Sub Equations
- Symbol('theta') = 0
Free variables
- Symbol('theta')
Tests
Symbolic
Numeric
Maple
Translation: theta = 0
Information
Sub Equations
- theta = 0
Free variables
- theta
Tests
Symbolic
Numeric
Dependency Graph Information
Includes
Description
- angular coordinate
- point towards the center
- reference direction
- center
- direction
- ellipse 's equation
- focus
- major axis
- polar coordinate with the origin
- sign in the denominator
Complete translation information:
{
"id" : "FORMULA_7bc661a80c761d3325a18363117f4657",
"formula" : "\\theta = 0",
"semanticFormula" : "\\theta = 0",
"confidence" : 0.0,
"translations" : {
"Mathematica" : {
"translation" : "\\[Theta] == 0",
"translationInformation" : {
"subEquations" : [ "\\[Theta] = 0" ],
"freeVariables" : [ "\\[Theta]" ]
},
"numericResults" : {
"overallResult" : "SKIPPED",
"numberOfTests" : 0,
"numberOfFailedTests" : 0,
"numberOfSuccessfulTests" : 0,
"numberOfSkippedTests" : 0,
"numberOfErrorTests" : 0,
"wasAborted" : false,
"crashed" : false,
"testCalculationsGroups" : [ ]
},
"symbolicResults" : {
"overallResult" : "ERROR",
"numberOfTests" : 1,
"numberOfFailedTests" : 0,
"numberOfSuccessfulTests" : 0,
"numberOfSkippedTests" : 0,
"numberOfErrorTests" : 1,
"crashed" : false,
"testCalculationsGroup" : [ {
"lhs" : "\\[Theta]",
"rhs" : "0",
"testExpression" : "(\\[Theta])-(0)",
"testCalculations" : [ {
"result" : "ERROR",
"testTitle" : "Simple",
"testExpression" : null,
"resultExpression" : null,
"wasAborted" : false,
"conditionallySuccessful" : false
} ]
} ]
}
},
"SymPy" : {
"translation" : "Symbol('theta') == 0",
"translationInformation" : {
"subEquations" : [ "Symbol('theta') = 0" ],
"freeVariables" : [ "Symbol('theta')" ]
}
},
"Maple" : {
"translation" : "theta = 0",
"translationInformation" : {
"subEquations" : [ "theta = 0" ],
"freeVariables" : [ "theta" ]
}
}
},
"positions" : [ {
"section" : 15,
"sentence" : 0,
"word" : 17
}, {
"section" : 15,
"sentence" : 0,
"word" : 43
} ],
"includes" : [ "= 0", "\\theta" ],
"isPartOf" : [ ],
"definiens" : [ {
"definition" : "angular coordinate",
"score" : 0.722
}, {
"definition" : "point towards the center",
"score" : 0.722
}, {
"definition" : "reference direction",
"score" : 0.722
}, {
"definition" : "center",
"score" : 0.7125985104912714
}, {
"definition" : "direction",
"score" : 0.6859086196238077
}, {
"definition" : "ellipse 's equation",
"score" : 0.6859086196238077
}, {
"definition" : "focus",
"score" : 0.6859086196238077
}, {
"definition" : "major axis",
"score" : 0.6859086196238077
}, {
"definition" : "polar coordinate with the origin",
"score" : 0.6859086196238077
}, {
"definition" : "sign in the denominator",
"score" : 0.6859086196238077
} ]
}