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 \cos^2 t -\sin^2 t=\cos 2t,\ \ 2\sin t \cos t = \sin 2t}
... is translated to the CAS output ...
Semantic latex: \cos^2 t -\sin^2 t=\cos 2t,2\sin t \cos t = \sin 2t
Confidence: 0
Mathematica
Translation: (Cos[t])^(2)- (Sin[t])^(2) == Cos[2]*t 2*Sin[t]*Cos[t] == Sin[2]*t
Information
Free variables
- t
Symbol info
- Cosine; Example: \cos@@{z}
Will be translated to: Cos[$0] Relevant links to definitions: DLMF: http://dlmf.nist.gov/4.14#E2 Mathematica: https://reference.wolfram.com/language/ref/Cos.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
Test expression: (Cos[t])^(2)- (Sin[t])^(2)
ERROR:
{
"result": "ERROR",
"testTitle": "Simple",
"testExpression": null,
"resultExpression": null,
"wasAborted": false,
"conditionallySuccessful": false
}
Test expression: Cos[2]*t 2*Sin[t]*Cos[t]
ERROR:
{
"result": "ERROR",
"testTitle": "Simple",
"testExpression": null,
"resultExpression": null,
"wasAborted": false,
"conditionallySuccessful": false
}
Numeric
SymPy
Translation: (cos(t))**(2)- (sin(t))**(2) == cos(2)*t 2*sin(t)*cos(t) == sin(2)*t
Information
Free variables
- t
Symbol info
- Cosine; Example: \cos@@{z}
Will be translated to: cos($0) Relevant links to definitions: DLMF: http://dlmf.nist.gov/4.14#E2 SymPy: https://docs.sympy.org/latest/modules/functions/elementary.html#cos
- 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: (cos(t))^(2)- (sin(t))^(2) = cos(2)*t; 2*sin(t)*cos(t) = sin(2)*t
Information
Free variables
- t
Symbol info
- Cosine; Example: \cos@@{z}
Will be translated to: cos($0) Relevant links to definitions: DLMF: http://dlmf.nist.gov/4.14#E2 Maple: https://www.maplesoft.com/support/help/maple/view.aspx?path=cos
- 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_c01f2b9fe14ebebd3015297ea0bfe5c6",
"formula" : "\\cos^2 t -\\sin^2 t=\\cos 2t,2\\sin t \\cos t = \\sin 2t",
"semanticFormula" : "\\cos^2 t -\\sin^2 t=\\cos 2t,2\\sin t \\cos t = \\sin 2t",
"confidence" : 0.0,
"translations" : {
"Mathematica" : {
"translation" : "(Cos[t])^(2)- (Sin[t])^(2) == Cos[2]*t\n 2*Sin[t]*Cos[t] == Sin[2]*t",
"translationInformation" : {
"freeVariables" : [ "t" ],
"tokenTranslations" : {
"\\cos" : "Cosine; Example: \\cos@@{z}\nWill be translated to: Cos[$0]\nRelevant links to definitions:\nDLMF: http://dlmf.nist.gov/4.14#E2\nMathematica: https://reference.wolfram.com/language/ref/Cos.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" : "ERROR",
"numberOfTests" : 2,
"numberOfFailedTests" : 0,
"numberOfSuccessfulTests" : 0,
"numberOfSkippedTests" : 0,
"numberOfErrorTests" : 2,
"crashed" : false,
"testCalculationsGroup" : [ {
"lhs" : "(Cos[t])^(2)- (Sin[t])^(2)",
"rhs" : "",
"testExpression" : "(Cos[t])^(2)- (Sin[t])^(2)",
"testCalculations" : [ {
"result" : "ERROR",
"testTitle" : "Simple",
"testExpression" : null,
"resultExpression" : null,
"wasAborted" : false,
"conditionallySuccessful" : false
} ]
}, {
"lhs" : "Cos[2]*t\n 2*Sin[t]*Cos[t]",
"rhs" : "",
"testExpression" : "Cos[2]*t\n 2*Sin[t]*Cos[t]",
"testCalculations" : [ {
"result" : "ERROR",
"testTitle" : "Simple",
"testExpression" : null,
"resultExpression" : null,
"wasAborted" : false,
"conditionallySuccessful" : false
} ]
} ]
}
},
"SymPy" : {
"translation" : "(cos(t))**(2)- (sin(t))**(2) == cos(2)*t\n 2*sin(t)*cos(t) == sin(2)*t",
"translationInformation" : {
"freeVariables" : [ "t" ],
"tokenTranslations" : {
"\\cos" : "Cosine; Example: \\cos@@{z}\nWill be translated to: cos($0)\nRelevant links to definitions:\nDLMF: http://dlmf.nist.gov/4.14#E2\nSymPy: https://docs.sympy.org/latest/modules/functions/elementary.html#cos",
"\\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"
}
}
},
"Maple" : {
"translation" : "(cos(t))^(2)- (sin(t))^(2) = cos(2)*t; 2*sin(t)*cos(t) = sin(2)*t",
"translationInformation" : {
"freeVariables" : [ "t" ],
"tokenTranslations" : {
"\\cos" : "Cosine; Example: \\cos@@{z}\nWill be translated to: cos($0)\nRelevant links to definitions:\nDLMF: http://dlmf.nist.gov/4.14#E2\nMaple: https://www.maplesoft.com/support/help/maple/view.aspx?path=cos",
"\\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"
}
}
}
},
"positions" : [ ],
"includes" : [ "\\cos^2 t -\\sin^2 t=\\cos 2t,\\ \\ 2\\sin t \\cos t = \\sin 2t", "\\cos t", "t", "\\sin t" ],
"isPartOf" : [ "\\cos^2 t -\\sin^2 t=\\cos 2t,\\ \\ 2\\sin t \\cos t = \\sin 2t" ],
"definiens" : [ ]
}