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 D_+(x) = \frac12 \int_0^\infty e^{-t^2/4}\,\sin(xt)\,dt.}
... is translated to the CAS output ...
Semantic latex: D_+(x) = \frac12 \int_0^\infty \expe^{-t^2/4} \sin(xt) \diff{t}
Confidence: 0
Mathematica
Translation: Subscript[D, +][x] == Divide[1,2]*Integrate[Exp[- (t)^(2)/4]*Sin[x*t], {t, 0, Infinity}, GenerateConditions->None]
Information
Sub Equations
- Subscript[D, +][x] = Divide[1,2]*Integrate[Exp[- (t)^(2)/4]*Sin[x*t], {t, 0, Infinity}, GenerateConditions->None]
Free variables
- x
Symbol info
- Function without DLMF-Definition. We keep it like it is (but delete prefix \ if necessary).
- Recognizes e with power as the exponential function. It was translated as a function.
- 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: Symbol('{D}_{+}')(x) == (1)/(2)*integrate(exp(- (t)**(2)/4)*sin(x*t), (t, 0, oo))
Information
Sub Equations
- Symbol('{D}_{+}')(x) = (1)/(2)*integrate(exp(- (t)**(2)/4)*sin(x*t), (t, 0, oo))
Free variables
- x
Symbol info
- Function without DLMF-Definition. We keep it like it is (but delete prefix \ if necessary).
- Recognizes e with power as the exponential function. It was translated as a function.
- 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: D[+](x) = (1)/(2)*int(exp(- (t)^(2)/4)*sin(x*t), t = 0..infinity)
Information
Sub Equations
- D[+](x) = (1)/(2)*int(exp(- (t)^(2)/4)*sin(x*t), t = 0..infinity)
Free variables
- x
Symbol info
- Function without DLMF-Definition. We keep it like it is (but delete prefix \ if necessary).
- Recognizes e with power as the exponential function. It was translated as a function.
- 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_7b3cb100315044dbfee6dfdc07407142",
"formula" : "D_+(x) = \\frac12 \\int_0^\\infty e^{-t^2/4}\\sin(xt)dt",
"semanticFormula" : "D_+(x) = \\frac12 \\int_0^\\infty \\expe^{-t^2/4} \\sin(xt) \\diff{t}",
"confidence" : 0.0,
"translations" : {
"Mathematica" : {
"translation" : "Subscript[D, +][x] == Divide[1,2]*Integrate[Exp[- (t)^(2)/4]*Sin[x*t], {t, 0, Infinity}, GenerateConditions->None]",
"translationInformation" : {
"subEquations" : [ "Subscript[D, +][x] = Divide[1,2]*Integrate[Exp[- (t)^(2)/4]*Sin[x*t], {t, 0, Infinity}, GenerateConditions->None]" ],
"freeVariables" : [ "x" ],
"tokenTranslations" : {
"D" : "Function without DLMF-Definition. We keep it like it is (but delete prefix \\ if necessary).",
"\\expe" : "Recognizes e with power as the exponential function. It was translated as a function.",
"\\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" : "Symbol('{D}_{+}')(x) == (1)/(2)*integrate(exp(- (t)**(2)/4)*sin(x*t), (t, 0, oo))",
"translationInformation" : {
"subEquations" : [ "Symbol('{D}_{+}')(x) = (1)/(2)*integrate(exp(- (t)**(2)/4)*sin(x*t), (t, 0, oo))" ],
"freeVariables" : [ "x" ],
"tokenTranslations" : {
"D" : "Function without DLMF-Definition. We keep it like it is (but delete prefix \\ if necessary).",
"\\expe" : "Recognizes e with power as the exponential function. It was translated as a function.",
"\\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" : "D[+](x) = (1)/(2)*int(exp(- (t)^(2)/4)*sin(x*t), t = 0..infinity)",
"translationInformation" : {
"subEquations" : [ "D[+](x) = (1)/(2)*int(exp(- (t)^(2)/4)*sin(x*t), t = 0..infinity)" ],
"freeVariables" : [ "x" ],
"tokenTranslations" : {
"D" : "Function without DLMF-Definition. We keep it like it is (but delete prefix \\ if necessary).",
"\\expe" : "Recognizes e with power as the exponential function. It was translated as a function.",
"\\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" : [ "D_+(x) = \\frac12 \\int_0^\\infty e^{-t^2/4}\\,\\sin(xt)\\,dt", "x" ],
"isPartOf" : [ "D_+(x) = \\frac12 \\int_0^\\infty e^{-t^2/4}\\,\\sin(xt)\\,dt" ],
"definiens" : [ ]
}