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 t = \tan^2(\theta)}
... is translated to the CAS output ...
Semantic latex: t = \tan^2(\theta)
Confidence: 0
Mathematica
Translation: t == (Tan[\[Theta]])^(2)
Information
Sub Equations
- t = (Tan[\[Theta]])^(2)
Free variables
- \[Theta]
- t
Symbol info
- Tangent; Example: \tan@@{z}
Will be translated to: Tan[$0] Constraints: z != (k+1/2)*\cpi \forall k \in \Integers Relevant links to definitions: DLMF: http://dlmf.nist.gov/4.14#E4 Mathematica: https://reference.wolfram.com/language/ref/Tan.html
Tests
Symbolic
Test expression: (t)-((Tan[\[Theta]])^(2))
ERROR:
{
"result": "ERROR",
"testTitle": "Simple",
"testExpression": null,
"resultExpression": null,
"wasAborted": false,
"conditionallySuccessful": false
}
Numeric
SymPy
Translation: t == (tan(Symbol('theta')))**(2)
Information
Sub Equations
- t = (tan(Symbol('theta')))**(2)
Free variables
- Symbol('theta')
- t
Symbol info
- Tangent; Example: \tan@@{z}
Will be translated to: tan($0) Constraints: z != (k+1/2)*\cpi \forall k \in \Integers Relevant links to definitions: DLMF: http://dlmf.nist.gov/4.14#E4 SymPy: https://docs.sympy.org/latest/modules/functions/elementary.html#tan
Tests
Symbolic
Numeric
Maple
Translation: t = (tan(theta))^(2)
Information
Sub Equations
- t = (tan(theta))^(2)
Free variables
- t
- theta
Symbol info
- Tangent; Example: \tan@@{z}
Will be translated to: tan($0) Constraints: z != (k+1/2)*\cpi \forall k \in \Integers Relevant links to definitions: DLMF: http://dlmf.nist.gov/4.14#E4 Maple: https://www.maplesoft.com/support/help/maple/view.aspx?path=tan
Tests
Symbolic
Numeric
Dependency Graph Information
Description
- second one
Complete translation information:
{
"id" : "FORMULA_ceb7513adc1dec60819074f26c8c15d5",
"formula" : "t = \\tan^2(\\theta)",
"semanticFormula" : "t = \\tan^2(\\theta)",
"confidence" : 0.0,
"translations" : {
"Mathematica" : {
"translation" : "t == (Tan[\\[Theta]])^(2)",
"translationInformation" : {
"subEquations" : [ "t = (Tan[\\[Theta]])^(2)" ],
"freeVariables" : [ "\\[Theta]", "t" ],
"tokenTranslations" : {
"\\tan" : "Tangent; Example: \\tan@@{z}\nWill be translated to: Tan[$0]\nConstraints: z != (k+1/2)*\\cpi \\forall k \\in \\Integers\nRelevant links to definitions:\nDLMF: http://dlmf.nist.gov/4.14#E4\nMathematica: https://reference.wolfram.com/language/ref/Tan.html"
}
},
"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" : "t",
"rhs" : "(Tan[\\[Theta]])^(2)",
"testExpression" : "(t)-((Tan[\\[Theta]])^(2))",
"testCalculations" : [ {
"result" : "ERROR",
"testTitle" : "Simple",
"testExpression" : null,
"resultExpression" : null,
"wasAborted" : false,
"conditionallySuccessful" : false
} ]
} ]
}
},
"SymPy" : {
"translation" : "t == (tan(Symbol('theta')))**(2)",
"translationInformation" : {
"subEquations" : [ "t = (tan(Symbol('theta')))**(2)" ],
"freeVariables" : [ "Symbol('theta')", "t" ],
"tokenTranslations" : {
"\\tan" : "Tangent; Example: \\tan@@{z}\nWill be translated to: tan($0)\nConstraints: z != (k+1/2)*\\cpi \\forall k \\in \\Integers\nRelevant links to definitions:\nDLMF: http://dlmf.nist.gov/4.14#E4\nSymPy: https://docs.sympy.org/latest/modules/functions/elementary.html#tan"
}
}
},
"Maple" : {
"translation" : "t = (tan(theta))^(2)",
"translationInformation" : {
"subEquations" : [ "t = (tan(theta))^(2)" ],
"freeVariables" : [ "t", "theta" ],
"tokenTranslations" : {
"\\tan" : "Tangent; Example: \\tan@@{z}\nWill be translated to: tan($0)\nConstraints: z != (k+1/2)*\\cpi \\forall k \\in \\Integers\nRelevant links to definitions:\nDLMF: http://dlmf.nist.gov/4.14#E4\nMaple: https://www.maplesoft.com/support/help/maple/view.aspx?path=tan"
}
}
}
},
"positions" : [ {
"section" : 5,
"sentence" : 1,
"word" : 14
} ],
"includes" : [ ],
"isPartOf" : [ ],
"definiens" : [ {
"definition" : "second one",
"score" : 0.6859086196238077
} ]
}