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 z\log(2\sin \pi z)-\frac{1}{2\pi}\int_0^{2\pi z}\log\left(2\sin \frac{y}{2} \right)\,dy.}
... is translated to the CAS output ...
Semantic latex: z \log(2 \sin \cpi z) - \frac{1}{2 \cpi} \int_0^{2 \cpi z} \log(2 \sin \frac{y}{2}) \diff{y}
Confidence: 0
Mathematica
Translation: z*Log[2*Sin[Pi]*z]-Divide[1,2*Pi]*Integrate[Log[2*Sin[Divide[y,2]]], {y, 0, 2*Pi*z}, GenerateConditions->None]
Information
Sub Equations
- z*Log[2*Sin[Pi]*z]-Divide[1,2*Pi]*Integrate[Log[2*Sin[Divide[y,2]]], {y, 0, 2*Pi*z}, GenerateConditions->None]
Free variables
- z
Symbol info
- Pi was translated to: Pi
- Logarithm; Example: \log@@{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
- Sine; Example: \sin@@{z}
Will be translated to: Sin[$0] Relevant links to definitions: DLMF: http://dlmf.nist.gov/4.14#E1 Mathematica: https://reference.wolfram.com/language/ref/Sin.html
Tests
Symbolic
Numeric
SymPy
Translation: z*log(2*sin(pi)*z)-(1)/(2*pi)*integrate(log(2*sin((y)/(2))), (y, 0, 2*pi*z))
Information
Sub Equations
- z*log(2*sin(pi)*z)-(1)/(2*pi)*integrate(log(2*sin((y)/(2))), (y, 0, 2*pi*z))
Free variables
- z
Symbol info
- Pi was translated to: pi
- Logarithm; Example: \log@@{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 SymPy: https://docs.sympy.org/latest/modules/functions/elementary.html#log
- Sine; Example: \sin@@{z}
Will be translated to: sin($0) Relevant links to definitions: DLMF: http://dlmf.nist.gov/4.14#E1 SymPy: https://docs.sympy.org/latest/modules/functions/elementary.html#sin
Tests
Symbolic
Numeric
Maple
Translation: z*log(2*sin(Pi)*z)-(1)/(2*Pi)*int(log(2*sin((y)/(2))), y = 0..2*Pi*z)
Information
Sub Equations
- z*log(2*sin(Pi)*z)-(1)/(2*Pi)*int(log(2*sin((y)/(2))), y = 0..2*Pi*z)
Free variables
- z
Symbol info
- Pi was translated to: Pi
- Logarithm; Example: \log@@{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 Maple: https://www.maplesoft.com/support/help/maple/view.aspx?path=log
- Sine; Example: \sin@@{z}
Will be translated to: sin($0) Relevant links to definitions: DLMF: http://dlmf.nist.gov/4.14#E1 Maple: https://www.maplesoft.com/support/help/maple/view.aspx?path=sin
Tests
Symbolic
Numeric
Dependency Graph Information
Includes
Is part of
Complete translation information:
{
"id" : "FORMULA_f7e309e4d54a9725949c1acdc4df98ab",
"formula" : "z\\log(2\\sin \\pi z)-\\frac{1}{2\\pi}\\int_0^{2\\pi z}\\log\\left(2\\sin \\frac{y}{2} \\right)dy",
"semanticFormula" : "z \\log(2 \\sin \\cpi z) - \\frac{1}{2 \\cpi} \\int_0^{2 \\cpi z} \\log(2 \\sin \\frac{y}{2}) \\diff{y}",
"confidence" : 0.0,
"translations" : {
"Mathematica" : {
"translation" : "z*Log[2*Sin[Pi]*z]-Divide[1,2*Pi]*Integrate[Log[2*Sin[Divide[y,2]]], {y, 0, 2*Pi*z}, GenerateConditions->None]",
"translationInformation" : {
"subEquations" : [ "z*Log[2*Sin[Pi]*z]-Divide[1,2*Pi]*Integrate[Log[2*Sin[Divide[y,2]]], {y, 0, 2*Pi*z}, GenerateConditions->None]" ],
"freeVariables" : [ "z" ],
"tokenTranslations" : {
"\\cpi" : "Pi was translated to: Pi",
"\\log" : "Logarithm; Example: \\log@@{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",
"\\sin" : "Sine; Example: \\sin@@{z}\nWill be translated to: Sin[$0]\nRelevant links to definitions:\nDLMF: http://dlmf.nist.gov/4.14#E1\nMathematica: https://reference.wolfram.com/language/ref/Sin.html"
}
},
"numericResults" : {
"overallResult" : "SKIPPED",
"numberOfTests" : 0,
"numberOfFailedTests" : 0,
"numberOfSuccessfulTests" : 0,
"numberOfSkippedTests" : 0,
"numberOfErrorTests" : 0,
"wasAborted" : false,
"crashed" : false,
"testCalculationsGroups" : [ ]
},
"symbolicResults" : {
"overallResult" : "SKIPPED",
"numberOfTests" : 0,
"numberOfFailedTests" : 0,
"numberOfSuccessfulTests" : 0,
"numberOfSkippedTests" : 0,
"numberOfErrorTests" : 0,
"crashed" : false,
"testCalculationsGroup" : [ ]
}
},
"SymPy" : {
"translation" : "z*log(2*sin(pi)*z)-(1)/(2*pi)*integrate(log(2*sin((y)/(2))), (y, 0, 2*pi*z))",
"translationInformation" : {
"subEquations" : [ "z*log(2*sin(pi)*z)-(1)/(2*pi)*integrate(log(2*sin((y)/(2))), (y, 0, 2*pi*z))" ],
"freeVariables" : [ "z" ],
"tokenTranslations" : {
"\\cpi" : "Pi was translated to: pi",
"\\log" : "Logarithm; Example: \\log@@{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\nSymPy: https://docs.sympy.org/latest/modules/functions/elementary.html#log",
"\\sin" : "Sine; Example: \\sin@@{z}\nWill be translated to: sin($0)\nRelevant links to definitions:\nDLMF: http://dlmf.nist.gov/4.14#E1\nSymPy: https://docs.sympy.org/latest/modules/functions/elementary.html#sin"
}
},
"numericResults" : {
"overallResult" : "SKIPPED",
"numberOfTests" : 0,
"numberOfFailedTests" : 0,
"numberOfSuccessfulTests" : 0,
"numberOfSkippedTests" : 0,
"numberOfErrorTests" : 0,
"wasAborted" : false,
"crashed" : false,
"testCalculationsGroups" : [ ]
},
"symbolicResults" : {
"overallResult" : "SKIPPED",
"numberOfTests" : 0,
"numberOfFailedTests" : 0,
"numberOfSuccessfulTests" : 0,
"numberOfSkippedTests" : 0,
"numberOfErrorTests" : 0,
"crashed" : false,
"testCalculationsGroup" : [ ]
}
},
"Maple" : {
"translation" : "z*log(2*sin(Pi)*z)-(1)/(2*Pi)*int(log(2*sin((y)/(2))), y = 0..2*Pi*z)",
"translationInformation" : {
"subEquations" : [ "z*log(2*sin(Pi)*z)-(1)/(2*Pi)*int(log(2*sin((y)/(2))), y = 0..2*Pi*z)" ],
"freeVariables" : [ "z" ],
"tokenTranslations" : {
"\\cpi" : "Pi was translated to: Pi",
"\\log" : "Logarithm; Example: \\log@@{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\nMaple: https://www.maplesoft.com/support/help/maple/view.aspx?path=log",
"\\sin" : "Sine; Example: \\sin@@{z}\nWill be translated to: sin($0)\nRelevant links to definitions:\nDLMF: http://dlmf.nist.gov/4.14#E1\nMaple: https://www.maplesoft.com/support/help/maple/view.aspx?path=sin"
}
},
"numericResults" : {
"overallResult" : "SKIPPED",
"numberOfTests" : 0,
"numberOfFailedTests" : 0,
"numberOfSuccessfulTests" : 0,
"numberOfSkippedTests" : 0,
"numberOfErrorTests" : 0,
"wasAborted" : false,
"crashed" : false,
"testCalculationsGroups" : [ ]
},
"symbolicResults" : {
"overallResult" : "SKIPPED",
"numberOfTests" : 0,
"numberOfFailedTests" : 0,
"numberOfSuccessfulTests" : 0,
"numberOfSkippedTests" : 0,
"numberOfErrorTests" : 0,
"crashed" : false,
"testCalculationsGroup" : [ ]
}
}
},
"positions" : [ ],
"includes" : [ "z\\log(2\\sin \\pi z)-\\frac{1}{2\\pi}\\int_0^{2\\pi z}\\log\\left(2\\sin \\frac{y}{2} \\right)\\,dy", "z", "\\, 2\\pi" ],
"isPartOf" : [ "z\\log(2\\sin \\pi z)-\\frac{1}{2\\pi}\\int_0^{2\\pi z}\\log\\left(2\\sin \\frac{y}{2} \\right)\\,dy" ],
"definiens" : [ ]
}