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 \ln x \ge 11}
... is translated to the CAS output ...
Semantic latex: \ln x \ge 11
Confidence: 0
Mathematica
Translation: Log[x] >= 11
Information
Sub Equations
- Log[x] >= 11
Free variables
- x
Symbol info
- Natural logarithm; Example: \ln@@{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
Test expression: Log[x]\geq11
ERROR:
{
"result": "ERROR",
"testTitle": "Simple",
"testExpression": null,
"resultExpression": null,
"wasAborted": false,
"conditionallySuccessful": false
}
Numeric
SymPy
Translation: ln(x) >= 11
Information
Sub Equations
- ln(x) >= 11
Free variables
- x
Symbol info
- Natural logarithm; Example: \ln@@{z}
Will be translated to: ln($0) Constraints: z != 0 Branch Cuts: (-\infty, 0] Relevant links to definitions: DLMF: http://dlmf.nist.gov/4.2#E2 SymPy: https://docs.sympy.org/latest/modules/functions/elementary.html#log
Tests
Symbolic
Numeric
Maple
Translation: ln(x) >= 11
Information
Sub Equations
- ln(x) >= 11
Free variables
- x
Symbol info
- Natural logarithm; Example: \ln@@{z}
Will be translated to: ln($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=ln
Tests
Symbolic
Numeric
Dependency Graph Information
Includes
Description
- bracket li
- e.g.
Complete translation information:
{
"id" : "FORMULA_812f3620404da7b9d58cb31283bb3bc1",
"formula" : "\\ln x \\ge 11",
"semanticFormula" : "\\ln x \\ge 11",
"confidence" : 0.0,
"translations" : {
"Mathematica" : {
"translation" : "Log[x] >= 11",
"translationInformation" : {
"subEquations" : [ "Log[x] >= 11" ],
"freeVariables" : [ "x" ],
"tokenTranslations" : {
"\\ln" : "Natural logarithm; Example: \\ln@@{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"
}
},
"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" : "Log[x]",
"rhs" : "11",
"testExpression" : "Log[x]\\geq11",
"testCalculations" : [ {
"result" : "ERROR",
"testTitle" : "Simple",
"testExpression" : null,
"resultExpression" : null,
"wasAborted" : false,
"conditionallySuccessful" : false
} ]
} ]
}
},
"SymPy" : {
"translation" : "ln(x) >= 11",
"translationInformation" : {
"subEquations" : [ "ln(x) >= 11" ],
"freeVariables" : [ "x" ],
"tokenTranslations" : {
"\\ln" : "Natural logarithm; Example: \\ln@@{z}\nWill be translated to: ln($0)\nConstraints: z != 0\nBranch Cuts: (-\\infty, 0]\nRelevant links to definitions:\nDLMF: http://dlmf.nist.gov/4.2#E2\nSymPy: https://docs.sympy.org/latest/modules/functions/elementary.html#log"
}
}
},
"Maple" : {
"translation" : "ln(x) >= 11",
"translationInformation" : {
"subEquations" : [ "ln(x) >= 11" ],
"freeVariables" : [ "x" ],
"tokenTranslations" : {
"\\ln" : "Natural logarithm; Example: \\ln@@{z}\nWill be translated to: ln($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=ln"
}
}
}
},
"positions" : [ {
"section" : 5,
"sentence" : 6,
"word" : 13
} ],
"includes" : [ "x" ],
"isPartOf" : [ ],
"definiens" : [ {
"definition" : "bracket li",
"score" : 0.6859086196238077
}, {
"definition" : "e.g.",
"score" : 0.6460746792928004
} ]
}