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{bmatrix} 1 & \frac{y_1 - y_2}{x_1 - x_2} \\ \frac{x_1 - x_3}{y_1 - y_3} & 1 \end{bmatrix} \begin{bmatrix} x_\circ \\ y_\circ \end{bmatrix} = \begin{bmatrix} \frac{x_1^2 - x_2^2 + y_1^2 - y_2^2}{2(x_1 - x_2)} \\ \frac{y_1^2 - y_3^2 + x_1^2 - x_3^2}{2(y_1 - y_3)} \end{bmatrix}. }
... is translated to the CAS output ...
Semantic latex: \begin{bmatrix} 1 & \frac{y_1 - y_2}{x_1 - x_2} \\ \frac{x_1 - x_3}{y_1 - y_3} & 1 \end{bmatrix} \begin{bmatrix} x_\circ \\ y_\circ \end{bmatrix} = \begin{bmatrix} \frac{x_1^2 - x_2^2 + y_1^2 - y_2^2}{2(x_1 - x_2)} \\ \frac{y_1^2 - y_3^2 + x_1^2 - x_3^2}{2(y_1 - y_3)} \end{bmatrix}
Confidence: 0
Mathematica
Translation:
Information
Symbol info
- (LaTeX -> Mathematica) An unknown or missing element occurred: Reached unknown or not yet supported expression tag: matrix
Tests
Symbolic
Numeric
SymPy
Translation:
Information
Symbol info
- (LaTeX -> SymPy) An unknown or missing element occurred: Reached unknown or not yet supported expression tag: matrix
Tests
Symbolic
Numeric
Maple
Translation:
Information
Symbol info
- (LaTeX -> Maple) An unknown or missing element occurred: Reached unknown or not yet supported expression tag: matrix
Tests
Symbolic
Numeric
Dependency Graph Information
Includes
Is part of
Complete translation information:
{
"id" : "FORMULA_106c4427ff15929b6caae83af4993ef2",
"formula" : "\\begin{bmatrix} \n 1 & \\frac{y_1 - y_2}{x_1 - x_2} \\\\ \n \\frac{x_1 - x_3}{y_1 - y_3} & 1 \n \\end{bmatrix}\n \\begin{bmatrix} x_\\circ \\\\ y_\\circ \\end{bmatrix}\n = \n \\begin{bmatrix}\n \\frac{x_1^2 - x_2^2 + y_1^2 - y_2^2}{2(x_1 - x_2)} \\\\ \n \\frac{y_1^2 - y_3^2 + x_1^2 - x_3^2}{2(y_1 - y_3)} \n \\end{bmatrix}",
"semanticFormula" : "\\begin{bmatrix} \n 1 & \\frac{y_1 - y_2}{x_1 - x_2} \\\\ \n \\frac{x_1 - x_3}{y_1 - y_3} & 1 \n \\end{bmatrix}\n \\begin{bmatrix} x_\\circ \\\\ y_\\circ \\end{bmatrix}\n = \n \\begin{bmatrix}\n \\frac{x_1^2 - x_2^2 + y_1^2 - y_2^2}{2(x_1 - x_2)} \\\\ \n \\frac{y_1^2 - y_3^2 + x_1^2 - x_3^2}{2(y_1 - y_3)} \n \\end{bmatrix}",
"confidence" : 0.0,
"translations" : {
"Mathematica" : {
"translation" : "",
"translationInformation" : {
"tokenTranslations" : {
"Error" : "(LaTeX -> Mathematica) An unknown or missing element occurred: Reached unknown or not yet supported expression tag: matrix"
}
},
"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) An unknown or missing element occurred: Reached unknown or not yet supported expression tag: matrix"
}
},
"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) An unknown or missing element occurred: Reached unknown or not yet supported expression tag: matrix"
}
},
"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" : [ "\\begin{bmatrix} 1 & \\frac{y_1 - y_2}{x_1 - x_2} \\\\ \\frac{x_1 - x_3}{y_1 - y_3} & 1 \\end{bmatrix} \\begin{bmatrix} x_\\circ \\\\ y_\\circ \\end{bmatrix} = \\begin{bmatrix} \\frac{x_1^2 - x_2^2 + y_1^2 - y_2^2}{2(x_1 - x_2)} \\\\ \\frac{y_1^2 - y_3^2 + x_1^2 - x_3^2}{2(y_1 - y_3)} \\end{bmatrix}", "y", "x_{2}", "x", "x_{1}" ],
"isPartOf" : [ "\\begin{bmatrix} 1 & \\frac{y_1 - y_2}{x_1 - x_2} \\\\ \\frac{x_1 - x_3}{y_1 - y_3} & 1 \\end{bmatrix} \\begin{bmatrix} x_\\circ \\\\ y_\\circ \\end{bmatrix} = \\begin{bmatrix} \\frac{x_1^2 - x_2^2 + y_1^2 - y_2^2}{2(x_1 - x_2)} \\\\ \\frac{y_1^2 - y_3^2 + x_1^2 - x_3^2}{2(y_1 - y_3)} \\end{bmatrix}" ],
"definiens" : [ ]
}