latex2sympy2_extended parses LaTeX math expressions and converts it into the equivalent SymPy form. The latex2sympy2_extended is adapted from OrangeX4/latex2sympy.
ANTLR 4.13.1 is used to generate the parser.
- Arithmetic: Add (+), Sub (-), Dot Mul (·), Cross Mul (×), Frac (/), Power (^), Abs (|x|), Sqrt (√), etc...
- Alphabet: a - z, A - Z, α - ω, Subscript (x_1), Accent Bar(ā), etc...
- Common Functions: gcd, lcm, floor, ceil, max, min, log, ln, exp, sin, cos, tan, csc, sec, cot, arcsin, sinh, arsinh, etc...
- Funcion Symbol: f(x), f(x-1,), g(x,y), etc...
-
Calculous: Limit (
$lim_{n\to\infty}$ ), Derivation ($\frac{d}{dx}(x^2+x)$), Integration ($\int xdx$ ), etc... - Linear Algebra: Matrix, Determinant, Transpose, Inverse, Elementary Transformation, etc...
- Set: Union (∪), Intersection (∩), etc...
- Other: Binomial...
NOTICE: It will do some irreversible calculations when converting determinants, transposed matrixes and elementary transformations...
pip install latex2sympy2_extended
Requirements: sympy and antlr4-python3-runtime packages.
In Python:
from latex2sympy2_extended import latex2sympy
tex = r"\frac{d}{dx}(x^{2}+x)"
latex2sympy(tex)
# => "Derivative(x**2 + x, x)"| LaTeX | Converted SymPy | Calculated Latex |
|---|---|---|
x^{3} |
x**3 |
x^{3} |
\frac{d}{dx} tx |
Derivative(x*t, x) |
t |
\sum_{i = 1}^{n} i |
Sum(i, (i, 1, n)) |
\frac{n \left(n + 1\right)}{2} |
\int_{a}^{b} \frac{dt}{t} |
Integral(1/t, (t, a, b)) |
-\log{(a)} + \log{(b)} |
| `(2x^3 - x + z) | {x=3}` $(2x^3 - x + z)|{x=3}$ | z + 51 |
# Before
(x+2)|_{x=y+1}
# After
y + 3from latex2sympy2 import latex2sympy
tex = r"\begin{vmatrix} x & 0 & 0 \\ 0 & x & 0 \\ 0 & 0 & x \end{vmatrix}"
latex2sympy(tex)
# => "x^{3}"from latex2sympy2 import latex2sympy
tex = r"\begin{pmatrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{pmatrix}^T"
# Or you can use "\begin{pmatrix}1&2&3\\4&5&6\\7&8&9\end{pmatrix}'"
latex2sympy(tex)
# => "Matrix([[1, 4, 7], [2, 5, 8], [3, 6, 9]])"from latex2sympy2 import latex2sympy
matrix = r'''
\begin{pmatrix}
1 & 2 & 3 \\
4 & 5 & 6 \\
7 & 8 & 9 \\
\end{pmatrix}
'''
# Scale the row with grammar "\xrightarrow{kr_n}"
tex = matrix + r'\xrightarrow{3r_1}'
latex2sympy(tex)
# => "Matrix([[3, 6, 9], [4, 5, 6], [7, 8, 9]])"
# Swap the cols with grammar "\xrightarrow{c_1<=>c_2}"
# Of course, you can use "\leftrightarrow" to replace "<=>"
tex = matrix + r'\xrightarrow{c_1<=>c_2}'
latex2sympy(tex)
# => "Matrix([[2, 1, 3], [5, 4, 6], [8, 7, 9]])"
# Scale the second row and add it to the first row
# with grammar "\xrightarrow{r_1+kr_2}"
tex = matrix + r'\xrightarrow{r_1+kr_2}'
latex2sympy(tex)
# => "Matrix([[4*k + 1, 5*k + 2, 6*k + 3], [4, 5, 6], [7, 8, 9]])"
# You can compose the transform with comma ","
# and grammar "\xrightarrow[4r_3]{2r_1, 3r_2}"
# Remember the priority of "{}" is higher than "[]"
tex = matrix + r'\xrightarrow[4r_3]{2r_1, 3r_2}'
latex2sympy(tex)
# => "Matrix([[2, 4, 6], [12, 15, 18], [28, 32, 36]])"from latex2sympy2 import set_real
set_real(False)If you want to add a new grammar, you can fork the code from hynky1999/latex2sympy2_extended.
- To modify parser grammar, view the existing structure in
src/latex2sympy2_extended/PS.g4. - To modify the action associated with each grammar, look into
src/latex2sympy2_extended/latex2sympy2.py.
Contributors are welcome! Feel free to open a pull request or an issue.