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 \begin{align}&\frac{1}{2\pi}\int_{-\infty}^{\infty}\Gamma(a+ix)\,\Gamma(b+ix)\,\Gamma(c-ix)\,\Gamma(d-ix)\,p_m(x;a,b,c,d)\,p_n(x;a,b,c,d)\,dx\\ &\qquad\qquad=\frac{\Gamma(n+a+c)\,\Gamma(n+a+d)\,\Gamma(n+b+c)\,\Gamma(n+b+d)}{n!(2n+a+b+c+d-1)\,\Gamma(n+a+b+c+d-1)}\,\delta_{n m}\end{align}}
... is translated to the CAS output ...
Semantic latex: \begin{align}&\frac{1}{2 \cpi} \int_{-\infty}^{\infty} \Gamma(a + \iunit x) \Gamma(b + \iunit x) \Gamma(c - \iunit x) \Gamma(d - \iunit x) \contHahnpolyp{m}@{x}{a}{b}{c}{d} \contHahnpolyp{n}@{x}{a}{b}{c}{d} dx \\ &\qquad\qquad=\frac{\Gamma(n+a+c)\Gamma(n+a+d)\Gamma(n+b+c)\Gamma(n+b+d)}{n!(2n+a+b+c+d-1)\Gamma(n+a+b+c+d-1)}\delta_{n m}\end{align}
Confidence: 0.71685960350077
Mathematica
Translation:
Information
Symbol info
- (LaTeX -> Mathematica) The input LaTeX is invalid: Unable to retrieve free variables for limit expression.
Tests
Symbolic
Numeric
SymPy
Translation:
Information
Symbol info
- (LaTeX -> SymPy) No translation possible for given token: Cannot extract information from feature set: \contHahnpolyp [\contHahnpolyp]
Tests
Symbolic
Numeric
Maple
Translation:
Information
Symbol info
- (LaTeX -> Maple) No translation possible for given token: Cannot extract information from feature set: \contHahnpolyp [\contHahnpolyp]
Tests
Symbolic
Numeric
Dependency Graph Information
Includes
Is part of
Complete translation information:
{
"id" : "FORMULA_531571a064f6cea2135de3d49a8e8cc7",
"formula" : "\\begin{align}&\\frac{1}{2\\pi}\\int_{-\\infty}^{\\infty}\\Gamma(a+ix)\\Gamma(b+ix)\\Gamma(c-ix)\\Gamma(d-ix)p_m(x;a,b,c,d)p_n(x;a,b,c,d)dx\\\\\n&\\qquad\\qquad=\\frac{\\Gamma(n+a+c)\\Gamma(n+a+d)\\Gamma(n+b+c)\\Gamma(n+b+d)}{n!(2n+a+b+c+d-1)\\Gamma(n+a+b+c+d-1)}\\delta_{n m}\\end{align}",
"semanticFormula" : "\\begin{align}&\\frac{1}{2 \\cpi} \\int_{-\\infty}^{\\infty} \\Gamma(a + \\iunit x) \\Gamma(b + \\iunit x) \\Gamma(c - \\iunit x) \\Gamma(d - \\iunit x) \\contHahnpolyp{m}@{x}{a}{b}{c}{d} \\contHahnpolyp{n}@{x}{a}{b}{c}{d} dx \\\\ &\\qquad\\qquad=\\frac{\\Gamma(n+a+c)\\Gamma(n+a+d)\\Gamma(n+b+c)\\Gamma(n+b+d)}{n!(2n+a+b+c+d-1)\\Gamma(n+a+b+c+d-1)}\\delta_{n m}\\end{align}",
"confidence" : 0.7168596035007688,
"translations" : {
"Mathematica" : {
"translation" : "",
"translationInformation" : {
"tokenTranslations" : {
"Error" : "(LaTeX -> Mathematica) The input LaTeX is invalid: Unable to retrieve free variables for limit expression."
}
},
"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: \\contHahnpolyp [\\contHahnpolyp]"
}
},
"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" : "",
"translationInformation" : {
"tokenTranslations" : {
"Error" : "(LaTeX -> Maple) No translation possible for given token: Cannot extract information from feature set: \\contHahnpolyp [\\contHahnpolyp]"
}
},
"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" : [ "p_{n}(x;a,b,c,d)", "\\begin{align}&\\frac{1}{2\\pi}\\int_{-\\infty}^{\\infty}\\Gamma(a+ix)\\,\\Gamma(b+ix)\\,\\Gamma(c-ix)\\,\\Gamma(d-ix)\\,p_m(x;a,b,c,d)\\,p_n(x;a,b,c,d)\\,dx\\\\&\\qquad\\qquad=\\frac{\\Gamma(n+a+c)\\,\\Gamma(n+a+d)\\,\\Gamma(n+b+c)\\,\\Gamma(n+b+d)}{n!(2n+a+b+c+d-1)\\,\\Gamma(n+a+b+c+d-1)}\\,\\delta_{n m}\\end{align}", "F_{n}" ],
"isPartOf" : [ "\\begin{align}&\\frac{1}{2\\pi}\\int_{-\\infty}^{\\infty}\\Gamma(a+ix)\\,\\Gamma(b+ix)\\,\\Gamma(c-ix)\\,\\Gamma(d-ix)\\,p_m(x;a,b,c,d)\\,p_n(x;a,b,c,d)\\,dx\\\\&\\qquad\\qquad=\\frac{\\Gamma(n+a+c)\\,\\Gamma(n+a+d)\\,\\Gamma(n+b+c)\\,\\Gamma(n+b+d)}{n!(2n+a+b+c+d-1)\\,\\Gamma(n+a+b+c+d-1)}\\,\\delta_{n m}\\end{align}" ],
"definiens" : [ ]
}