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 F_2(a,b_1,b_2;c_1,c_2;x,y) = \sum_{m,n=0}^\infty \frac{(a)_{m+n} (b_1)_m (b_2)_n} {(c_1)_m (c_2)_n \,m! \,n!} \,x^m y^n }
... is translated to the CAS output ...
Semantic latex: F_2(a , b_1 , b_2 ; c_1 , c_2 ; x , y) = \sum_{m,n=0}^\infty \frac{\Pochhammersym{a}{m+n} \Pochhammersym{b_1}{m} \Pochhammersym{b_2}{n}}{\Pochhammersym{c_1}{m} \Pochhammersym{c_2}{n} m! n!} x^m y^n
Confidence: 0.6805
Mathematica
Translation: Subscript[F, 2][a , Subscript[b, 1], Subscript[b, 2]; Subscript[c, 1], Subscript[c, 2]; x , y] == Sum[Sum[Divide[Pochhammer[a, m + n]*Pochhammer[Subscript[b, 1], m]*Pochhammer[Subscript[b, 2], n],Pochhammer[Subscript[c, 1], m]*Pochhammer[Subscript[c, 2], n]*(m)!*(n)!]*(x)^(m)* (y)^(n), {n, 0, Infinity}, GenerateConditions->None], {m, 0, Infinity}, GenerateConditions->None]
Information
Sub Equations
- Subscript[F, 2][a , Subscript[b, 1], Subscript[b, 2]; Subscript[c, 1], Subscript[c, 2]; x , y] = Sum[Sum[Divide[Pochhammer[a, m + n]*Pochhammer[Subscript[b, 1], m]*Pochhammer[Subscript[b, 2], n],Pochhammer[Subscript[c, 1], m]*Pochhammer[Subscript[c, 2], n]*(m)!*(n)!]*(x)^(m)* (y)^(n), {n, 0, Infinity}, GenerateConditions->None], {m, 0, Infinity}, GenerateConditions->None]
Free variables
- Subscript[b, 1]
- Subscript[b, 2]
- Subscript[c, 1]
- Subscript[c, 2]
- a
- x
- y
Symbol info
- Function without DLMF-Definition. We keep it like it is (but delete prefix \ if necessary).
- Pochhammer symbol; Example: \Pochhammersym{a}{n}
Will be translated to: Pochhammer[$0, $1] Relevant links to definitions: DLMF: http://dlmf.nist.gov/5.2#iii Mathematica: https://reference.wolfram.com/language/ref/Pochhammer.html
Tests
Symbolic
Numeric
SymPy
Translation:
Information
Symbol info
- (LaTeX -> SymPy) No translation possible for given token: Cannot extract information from feature set: \Pochhammersym [\Pochhammersym]
Tests
Symbolic
Numeric
Maple
Translation: F[2](a , b[1], b[2]; c[1], c[2]; x , y) = sum(sum((pochhammer(a, m + n)*pochhammer(b[1], m)*pochhammer(b[2], n))/(pochhammer(c[1], m)*pochhammer(c[2], n)*factorial(m)*factorial(n))*(x)^(m)* (y)^(n), n = 0..infinity), m = 0..infinity)
Information
Sub Equations
- F[2](a , b[1], b[2]; c[1], c[2]; x , y) = sum(sum((pochhammer(a, m + n)*pochhammer(b[1], m)*pochhammer(b[2], n))/(pochhammer(c[1], m)*pochhammer(c[2], n)*factorial(m)*factorial(n))*(x)^(m)* (y)^(n), n = 0..infinity), m = 0..infinity)
Free variables
- a
- b[1]
- b[2]
- c[1]
- c[2]
- x
- y
Symbol info
- Function without DLMF-Definition. We keep it like it is (but delete prefix \ if necessary).
- Pochhammer symbol; Example: \Pochhammersym{a}{n}
Will be translated to: pochhammer($0, $1) Relevant links to definitions: DLMF: http://dlmf.nist.gov/5.2#iii Maple: https://www.maplesoft.com/support/help/maple/view.aspx?path=pochhammer
Tests
Symbolic
Numeric
Dependency Graph Information
Includes
Is part of
Complete translation information:
{
"id" : "FORMULA_99dd81829f2b753a32f3917626447a5f",
"formula" : "F_2(a,b_1,b_2;c_1,c_2;x,y) = \\sum_{m,n=0}^\\infty \\frac{(a)_{m+n} (b_1)_m (b_2)_n} {(c_1)_m (c_2)_n m! n!} x^m y^n",
"semanticFormula" : "F_2(a , b_1 , b_2 ; c_1 , c_2 ; x , y) = \\sum_{m,n=0}^\\infty \\frac{\\Pochhammersym{a}{m+n} \\Pochhammersym{b_1}{m} \\Pochhammersym{b_2}{n}}{\\Pochhammersym{c_1}{m} \\Pochhammersym{c_2}{n} m! n!} x^m y^n",
"confidence" : 0.6805,
"translations" : {
"Mathematica" : {
"translation" : "Subscript[F, 2][a , Subscript[b, 1], Subscript[b, 2]; Subscript[c, 1], Subscript[c, 2]; x , y] == Sum[Sum[Divide[Pochhammer[a, m + n]*Pochhammer[Subscript[b, 1], m]*Pochhammer[Subscript[b, 2], n],Pochhammer[Subscript[c, 1], m]*Pochhammer[Subscript[c, 2], n]*(m)!*(n)!]*(x)^(m)* (y)^(n), {n, 0, Infinity}, GenerateConditions->None], {m, 0, Infinity}, GenerateConditions->None]",
"translationInformation" : {
"subEquations" : [ "Subscript[F, 2][a , Subscript[b, 1], Subscript[b, 2]; Subscript[c, 1], Subscript[c, 2]; x , y] = Sum[Sum[Divide[Pochhammer[a, m + n]*Pochhammer[Subscript[b, 1], m]*Pochhammer[Subscript[b, 2], n],Pochhammer[Subscript[c, 1], m]*Pochhammer[Subscript[c, 2], n]*(m)!*(n)!]*(x)^(m)* (y)^(n), {n, 0, Infinity}, GenerateConditions->None], {m, 0, Infinity}, GenerateConditions->None]" ],
"freeVariables" : [ "Subscript[b, 1]", "Subscript[b, 2]", "Subscript[c, 1]", "Subscript[c, 2]", "a", "x", "y" ],
"tokenTranslations" : {
"F" : "Function without DLMF-Definition. We keep it like it is (but delete prefix \\ if necessary).",
"\\Pochhammersym" : "Pochhammer symbol; Example: \\Pochhammersym{a}{n}\nWill be translated to: Pochhammer[$0, $1]\nRelevant links to definitions:\nDLMF: http://dlmf.nist.gov/5.2#iii\nMathematica: https://reference.wolfram.com/language/ref/Pochhammer.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" : "",
"translationInformation" : {
"tokenTranslations" : {
"Error" : "(LaTeX -> SymPy) No translation possible for given token: Cannot extract information from feature set: \\Pochhammersym [\\Pochhammersym]"
}
},
"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" : "F[2](a , b[1], b[2]; c[1], c[2]; x , y) = sum(sum((pochhammer(a, m + n)*pochhammer(b[1], m)*pochhammer(b[2], n))/(pochhammer(c[1], m)*pochhammer(c[2], n)*factorial(m)*factorial(n))*(x)^(m)* (y)^(n), n = 0..infinity), m = 0..infinity)",
"translationInformation" : {
"subEquations" : [ "F[2](a , b[1], b[2]; c[1], c[2]; x , y) = sum(sum((pochhammer(a, m + n)*pochhammer(b[1], m)*pochhammer(b[2], n))/(pochhammer(c[1], m)*pochhammer(c[2], n)*factorial(m)*factorial(n))*(x)^(m)* (y)^(n), n = 0..infinity), m = 0..infinity)" ],
"freeVariables" : [ "a", "b[1]", "b[2]", "c[1]", "c[2]", "x", "y" ],
"tokenTranslations" : {
"F" : "Function without DLMF-Definition. We keep it like it is (but delete prefix \\ if necessary).",
"\\Pochhammersym" : "Pochhammer symbol; Example: \\Pochhammersym{a}{n}\nWill be translated to: pochhammer($0, $1)\nRelevant links to definitions:\nDLMF: http://dlmf.nist.gov/5.2#iii\nMaple: https://www.maplesoft.com/support/help/maple/view.aspx?path=pochhammer"
}
},
"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" : [ "(q)_n", "F_2(a,b_1,b_2;c_1,c_2;x,y) = \\sum_{m,n=0}^\\infty \\frac{(a)_{m+n} (b_1)_m (b_2)_n} {(c_1)_m (c_2)_n \\,m! \\,n!} \\,x^m y^n", "y", "F_{2}", "F", "x" ],
"isPartOf" : [ "F_2(a,b_1,b_2;c_1,c_2;x,y) = \\sum_{m,n=0}^\\infty \\frac{(a)_{m+n} (b_1)_m (b_2)_n} {(c_1)_m (c_2)_n \\,m! \\,n!} \\,x^m y^n" ],
"definiens" : [ ]
}