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 \operatorname{Ci}(x) = \gamma + \ln x - \operatorname{Cin}(x)~.}
... is translated to the CAS output ...
Semantic latex: \operatorname{Ci}(x) = \EulerConstant + \ln x - \operatorname{Cin}(x)
Confidence: 0
Mathematica
Translation: Ci[x] == EulerGamma + Log[x]- Cin[x]
Information
Sub Equations
- Ci[x] = EulerGamma + Log[x]- Cin[x]
Free variables
- x
Symbol info
- Was interpreted as a function call because of a leading \operatorname.
- Was interpreted as a function call because of a leading \operatorname.
- Euler-Mascheroni constant was translated to: EulerGamma
- 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: (Ci[x])-(EulerGamma + Log[x]- Cin[x])
ERROR:
{
"result": "ERROR",
"testTitle": "Simple",
"testExpression": null,
"resultExpression": null,
"wasAborted": false,
"conditionallySuccessful": false
}
Numeric
SymPy
Translation: Ci(x) == EulerGamma + ln(x)- Cin(x)
Information
Sub Equations
- Ci(x) = EulerGamma + ln(x)- Cin(x)
Free variables
- x
Symbol info
- Was interpreted as a function call because of a leading \operatorname.
- Was interpreted as a function call because of a leading \operatorname.
- Euler-Mascheroni constant was translated to: EulerGamma
- 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: Ci(x) = gamma + ln(x)- Cin(x)
Information
Sub Equations
- Ci(x) = gamma + ln(x)- Cin(x)
Free variables
- x
Symbol info
- Was interpreted as a function call because of a leading \operatorname.
- Was interpreted as a function call because of a leading \operatorname.
- Euler-Mascheroni constant was translated to: gamma
- 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
Is part of
Complete translation information:
{
"id" : "FORMULA_f0fc82f3fae23d7872243429379bde47",
"formula" : "\\operatorname{Ci}(x) = \\gamma + \\ln x - \\operatorname{Cin}(x)~",
"semanticFormula" : "\\operatorname{Ci}(x) = \\EulerConstant + \\ln x - \\operatorname{Cin}(x)",
"confidence" : 0.0,
"translations" : {
"Mathematica" : {
"translation" : "Ci[x] == EulerGamma + Log[x]- Cin[x]",
"translationInformation" : {
"subEquations" : [ "Ci[x] = EulerGamma + Log[x]- Cin[x]" ],
"freeVariables" : [ "x" ],
"tokenTranslations" : {
"Cin" : "Was interpreted as a function call because of a leading \\operatorname.",
"Ci" : "Was interpreted as a function call because of a leading \\operatorname.",
"\\EulerConstant" : "Euler-Mascheroni constant was translated to: EulerGamma",
"\\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" : "Ci[x]",
"rhs" : "EulerGamma + Log[x]- Cin[x]",
"testExpression" : "(Ci[x])-(EulerGamma + Log[x]- Cin[x])",
"testCalculations" : [ {
"result" : "ERROR",
"testTitle" : "Simple",
"testExpression" : null,
"resultExpression" : null,
"wasAborted" : false,
"conditionallySuccessful" : false
} ]
} ]
}
},
"SymPy" : {
"translation" : "Ci(x) == EulerGamma + ln(x)- Cin(x)",
"translationInformation" : {
"subEquations" : [ "Ci(x) = EulerGamma + ln(x)- Cin(x)" ],
"freeVariables" : [ "x" ],
"tokenTranslations" : {
"Cin" : "Was interpreted as a function call because of a leading \\operatorname.",
"Ci" : "Was interpreted as a function call because of a leading \\operatorname.",
"\\EulerConstant" : "Euler-Mascheroni constant was translated to: EulerGamma",
"\\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" : "Ci(x) = gamma + ln(x)- Cin(x)",
"translationInformation" : {
"subEquations" : [ "Ci(x) = gamma + ln(x)- Cin(x)" ],
"freeVariables" : [ "x" ],
"tokenTranslations" : {
"Cin" : "Was interpreted as a function call because of a leading \\operatorname.",
"Ci" : "Was interpreted as a function call because of a leading \\operatorname.",
"\\EulerConstant" : "Euler-Mascheroni constant was translated to: gamma",
"\\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" : [ ],
"includes" : [ "\\gamma", "Cin", "Ci", "x", "\\operatorname{Ci}(x) = \\gamma + \\ln x - \\operatorname{Cin}(x)", "Ci(x)" ],
"isPartOf" : [ "\\operatorname{Ci}(x) = \\gamma + \\ln x - \\operatorname{Cin}(x)" ],
"definiens" : [ ]
}