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{align} & {-}\sqrt{(l_3 \mp s_3)(l_3 \pm s_3 + 1)} \begin{pmatrix} l_1 & l_2 & l_3 \\ s_1 & s_2 & s_3 \pm 1 \end{pmatrix}= \\ &\quad = \sqrt{(l_1 \mp s_1)(l_1 \pm s_1 + 1)} \begin{pmatrix} l_1 & l_2 & l_3 \\ s_1 \pm 1 & s_2 & s_3 \end{pmatrix} + \sqrt{(l_2 \mp s_2)(l_2 \pm s_2 + 1)} \begin{pmatrix} l_1 & l_2 & l_3 \\ s_1 & s_2 \pm 1 & s_3 \end{pmatrix}. \end{align} }
... is translated to the CAS output ...
Semantic latex: \begin{align} & {-}\sqrt{(l_3 \mp s_3)(l_3 \pm s_3 + 1)} \begin{pmatrix} l_1 & l_2 & l_3 \\ s_1 & s_2 & s_3 \pm 1 \end{pmatrix}= \\ &\quad = \sqrt{(l_1 \mp s_1)(l_1 \pm s_1 + 1)} \begin{pmatrix} l_1 & l_2 & l_3 \\ s_1 \pm 1 & s_2 & s_3 \end{pmatrix} + \sqrt{(l_2 \mp s_2)(l_2 \pm s_2 + 1)} \begin{pmatrix} l_1 & l_2 & l_3 \\ s_1 & s_2 \pm 1 & s_3 \end{pmatrix}. \end{align}
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_344eb24e15f951c06ade87ab88b2d89a",
"formula" : "\\begin{align}\n& {-}\\sqrt{(l_3 \\mp s_3)(l_3 \\pm s_3 + 1)} \n\\begin{pmatrix}\n l_1 & l_2 & l_3 \\\\\n s_1 & s_2 & s_3 \\pm 1\n\\end{pmatrix}=\n \\\\\n&\\quad = \\sqrt{(l_1 \\mp s_1)(l_1 \\pm s_1 + 1)} \n\\begin{pmatrix}\n l_1 & l_2 & l_3 \\\\\n s_1 \\pm 1 & s_2 & s_3\n\\end{pmatrix}\n+ \\sqrt{(l_2 \\mp s_2)(l_2 \\pm s_2 + 1)} \n\\begin{pmatrix}\n l_1 & l_2 & l_3 \\\\\n s_1 & s_2 \\pm 1 & s_3\n\\end{pmatrix}.\n\\end{align}",
"semanticFormula" : "\\begin{align}\n& {-}\\sqrt{(l_3 \\mp s_3)(l_3 \\pm s_3 + 1)} \n\\begin{pmatrix}\n l_1 & l_2 & l_3 \\\\\n s_1 & s_2 & s_3 \\pm 1\n\\end{pmatrix}=\n \\\\\n&\\quad = \\sqrt{(l_1 \\mp s_1)(l_1 \\pm s_1 + 1)} \n\\begin{pmatrix}\n l_1 & l_2 & l_3 \\\\\n s_1 \\pm 1 & s_2 & s_3\n\\end{pmatrix}\n+ \\sqrt{(l_2 \\mp s_2)(l_2 \\pm s_2 + 1)} \n\\begin{pmatrix}\n l_1 & l_2 & l_3 \\\\\n s_1 & s_2 \\pm 1 & s_3\n\\end{pmatrix}.\n\\end{align}",
"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" : [ "l_3", "l_2", "l_1" ],
"isPartOf" : [ "\\begin{align}& {-}\\sqrt{(l_3 \\mp s_3)(l_3 \\pm s_3 + 1)} \\begin{pmatrix} l_1 & l_2 & l_3 \\\\ s_1 & s_2 & s_3 \\pm 1\\end{pmatrix}= \\\\&\\quad = \\sqrt{(l_1 \\mp s_1)(l_1 \\pm s_1 + 1)} \\begin{pmatrix} l_1 & l_2 & l_3 \\\\ s_1 \\pm 1 & s_2 & s_3\\end{pmatrix}+ \\sqrt{(l_2 \\mp s_2)(l_2 \\pm s_2 + 1)} \\begin{pmatrix} l_1 & l_2 & l_3 \\\\ s_1 & s_2 \\pm 1 & s_3\\end{pmatrix}.\\end{align}" ],
"definiens" : [ ]
}