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 \left|PF_1\right|^2 = (x - c)^2 + y^2,\ \left|Pl_1\right|^2 = \left(x - \tfrac{a^2}{c}\right)^2}
... is translated to the CAS output ...
Semantic latex: |PF_1|^2 =(x - c)^2 + y^2 ,|Pl_1|^2 =(x - \tfrac{a^2}{c})^2
Confidence: 0
Mathematica
Translation: (Abs[P*Subscript[F, 1]])^(2) == (x - c)^(2)+ (y)^(2) (Abs[P*Subscript[l, 1]])^(2) == (x -Divide[(a)^(2),c])^(2)
Information
Free variables
- P
- Subscript[F, 1]
- Subscript[l, 1]
- a
- c
- x
- y
Tests
Symbolic
Numeric
SymPy
Translation: (abs(P*Symbol('{F}_{1}')))**(2) == (x - c)**(2)+ (y)**(2) (abs(P*Symbol('{l}_{1}')))**(2) == (x -((a)**(2))/(c))**(2)
Information
Free variables
- P
- Symbol('{F}_{1}')
- Symbol('{l}_{1}')
- a
- c
- x
- y
Tests
Symbolic
Numeric
Maple
Translation: (abs(P*F[1]))^(2) = (x - c)^(2)+ (y)^(2); (abs(P*l[1]))^(2) = (x -((a)^(2))/(c))^(2)
Information
Free variables
- F[1]
- P
- a
- c
- l[1]
- x
- y
Tests
Symbolic
Numeric
Dependency Graph Information
Includes
Is part of
Complete translation information:
{
"id" : "FORMULA_5b7e188db93d1c951c85af3648442a2e",
"formula" : "\\left|PF_1\\right|^2 = (x - c)^2 + y^2,\\left|Pl_1\\right|^2 = \\left(x - \\tfrac{a^2}{c}\\right)^2",
"semanticFormula" : "|PF_1|^2 =(x - c)^2 + y^2 ,|Pl_1|^2 =(x - \\tfrac{a^2}{c})^2",
"confidence" : 0.0,
"translations" : {
"Mathematica" : {
"translation" : "(Abs[P*Subscript[F, 1]])^(2) == (x - c)^(2)+ (y)^(2)\n (Abs[P*Subscript[l, 1]])^(2) == (x -Divide[(a)^(2),c])^(2)",
"translationInformation" : {
"freeVariables" : [ "P", "Subscript[F, 1]", "Subscript[l, 1]", "a", "c", "x", "y" ]
},
"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" : "(abs(P*Symbol('{F}_{1}')))**(2) == (x - c)**(2)+ (y)**(2)\n (abs(P*Symbol('{l}_{1}')))**(2) == (x -((a)**(2))/(c))**(2)",
"translationInformation" : {
"freeVariables" : [ "P", "Symbol('{F}_{1}')", "Symbol('{l}_{1}')", "a", "c", "x", "y" ]
},
"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" : "(abs(P*F[1]))^(2) = (x - c)^(2)+ (y)^(2); (abs(P*l[1]))^(2) = (x -((a)^(2))/(c))^(2)",
"translationInformation" : {
"freeVariables" : [ "F[1]", "P", "a", "c", "l[1]", "x", "y" ]
},
"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" : [ "\\left|PF_1\\right|^2 = (x - c)^2 + y^2,\\ \\left|Pl_1\\right|^2 = \\left(x - \\tfrac{a^2}{c}\\right)^2", "a", "y", "x", "\\tfrac{a^2}{b}", "c" ],
"isPartOf" : [ "\\left|PF_1\\right|^2 = (x - c)^2 + y^2,\\ \\left|Pl_1\\right|^2 = \\left(x - \\tfrac{a^2}{c}\\right)^2" ],
"definiens" : [ ]
}