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 R = R(z, t) = \left(1 - 2zt + t^2\right)^{\frac{1}{2}}~, }
... is translated to the CAS output ...
Semantic latex: R = R(z , t) =(1 - 2 zt + t^2)^{\frac{1}{2}}
Confidence: 0
Mathematica
Translation: R == R*(z , t) == (1 - 2*z*t + (t)^(2))^(Divide[1,2])
Information
Sub Equations
- R = R*(z , t)
- R*(z , t) = (1 - 2*z*t + (t)^(2))^(Divide[1,2])
Free variables
- R
- t
- z
Tests
Symbolic
Test expression: (R)-(R*(z , t))
ERROR:
{
"result": "ERROR",
"testTitle": "Simple",
"testExpression": null,
"resultExpression": null,
"wasAborted": false,
"conditionallySuccessful": false
}
Test expression: (R*(z , t))-((1 - 2*z*t + (t)^(2))^(Divide[1,2]))
ERROR:
{
"result": "ERROR",
"testTitle": "Simple",
"testExpression": null,
"resultExpression": null,
"wasAborted": false,
"conditionallySuccessful": false
}
Numeric
SymPy
Translation: R == R*(z , t) == (1 - 2*z*t + (t)**(2))**((1)/(2))
Information
Sub Equations
- R = R*(z , t)
- R*(z , t) = (1 - 2*z*t + (t)**(2))**((1)/(2))
Free variables
- R
- t
- z
Tests
Symbolic
Numeric
Maple
Translation: R = R*(z , t) = (1 - 2*z*t + (t)^(2))^((1)/(2))
Information
Sub Equations
- R = R*(z , t)
- R*(z , t) = (1 - 2*z*t + (t)^(2))^((1)/(2))
Free variables
- R
- t
- z
Tests
Symbolic
Numeric
Dependency Graph Information
Includes
Is part of
Complete translation information:
{
"id" : "FORMULA_eeb36a5ec1064652fc2652dab958e5ac",
"formula" : "R = R(z, t) = \\left(1 - 2zt + t^2\\right)^{\\frac{1}{2}}~",
"semanticFormula" : "R = R(z , t) =(1 - 2 zt + t^2)^{\\frac{1}{2}}",
"confidence" : 0.0,
"translations" : {
"Mathematica" : {
"translation" : "R == R*(z , t) == (1 - 2*z*t + (t)^(2))^(Divide[1,2])",
"translationInformation" : {
"subEquations" : [ "R = R*(z , t)", "R*(z , t) = (1 - 2*z*t + (t)^(2))^(Divide[1,2])" ],
"freeVariables" : [ "R", "t", "z" ]
},
"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" : "R",
"rhs" : "R*(z , t)",
"testExpression" : "(R)-(R*(z , t))",
"testCalculations" : [ {
"result" : "ERROR",
"testTitle" : "Simple",
"testExpression" : null,
"resultExpression" : null,
"wasAborted" : false,
"conditionallySuccessful" : false
} ]
}, {
"lhs" : "R*(z , t)",
"rhs" : "(1 - 2*z*t + (t)^(2))^(Divide[1,2])",
"testExpression" : "(R*(z , t))-((1 - 2*z*t + (t)^(2))^(Divide[1,2]))",
"testCalculations" : [ {
"result" : "ERROR",
"testTitle" : "Simple",
"testExpression" : null,
"resultExpression" : null,
"wasAborted" : false,
"conditionallySuccessful" : false
} ]
} ]
}
},
"SymPy" : {
"translation" : "R == R*(z , t) == (1 - 2*z*t + (t)**(2))**((1)/(2))",
"translationInformation" : {
"subEquations" : [ "R = R*(z , t)", "R*(z , t) = (1 - 2*z*t + (t)**(2))**((1)/(2))" ],
"freeVariables" : [ "R", "t", "z" ]
}
},
"Maple" : {
"translation" : "R = R*(z , t) = (1 - 2*z*t + (t)^(2))^((1)/(2))",
"translationInformation" : {
"subEquations" : [ "R = R*(z , t)", "R*(z , t) = (1 - 2*z*t + (t)^(2))^((1)/(2))" ],
"freeVariables" : [ "R", "t", "z" ]
}
}
},
"positions" : [ ],
"includes" : [ "z", "R = R(z, t) = \\left(1 - 2zt + t^2\\right)^{\\frac{1}{2}}" ],
"isPartOf" : [ "R = R(z, t) = \\left(1 - 2zt + t^2\\right)^{\\frac{1}{2}}" ],
"definiens" : [ ]
}