summaryrefslogtreecommitdiff
path: root/Qwen2.5-Eval/evaluation/latex2sympy/description.txt
diff options
context:
space:
mode:
authorYuren Hao <yurenh2@timan108.cs.illinois.edu>2025-09-04 22:16:22 -0500
committerYuren Hao <yurenh2@timan108.cs.illinois.edu>2025-09-04 22:16:22 -0500
commitfc6d57ffb8d5ddb5820fcc00b5491a585c259ebc (patch)
treee9841f93a353e2107225cfc721d1ce57c0e594dc /Qwen2.5-Eval/evaluation/latex2sympy/description.txt
Initial commit
Diffstat (limited to 'Qwen2.5-Eval/evaluation/latex2sympy/description.txt')
-rwxr-xr-xQwen2.5-Eval/evaluation/latex2sympy/description.txt152
1 files changed, 152 insertions, 0 deletions
diff --git a/Qwen2.5-Eval/evaluation/latex2sympy/description.txt b/Qwen2.5-Eval/evaluation/latex2sympy/description.txt
new file mode 100755
index 0000000..0064c1f
--- /dev/null
+++ b/Qwen2.5-Eval/evaluation/latex2sympy/description.txt
@@ -0,0 +1,152 @@
+latex2sympy2: https://github.com/OrangeX4/latex2sympy
+
+About
+
+`latex2sympy2` parses **LaTeX math expressions** and converts it into the equivalent **SymPy form**. The latex2sympy2 is adapted from [augustt198/latex2sympy](https://github.com/augustt198/latex2sympy) and [purdue-tlt / latex2sympy](https://github.com/purdue-tlt/latex2sympy).
+
+[ANTLR](http://www.antlr.org/) is used to generate the parser.
+
+Features
+
+* **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...
+* **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...
+* **Other:** Binomial...
+
+**NOTICE:** It will do some irreversible calculations when converting determinants, transposed matrixes and elementary transformations...
+
+Installation
+
+```
+pip install latex2sympy2
+```
+
+**Requirements:** `sympy` and `antlr4-python3-runtime` packages.
+
+Usage
+
+ Basic
+
+In Python:
+
+```python
+from latex2sympy2 import latex2sympy, latex2latex
+
+tex = r"\frac{d}{dx}(x^{2}+x)"
+# Or you can use '\mathrm{d}' to replace 'd'
+latex2sympy(tex)
+# => "Derivative(x**2 + x, x)"
+latex2latex(tex)
+# => "2 x + 1"
+```
+
+ Examples
+
+|LaTeX|Converted SymPy|Calculated Latex|
+|-----|-----|---------------|
+|`x^{3}` $x^{3}$| `x**3`|`x^{3}` $x^{3}$|
+|`\frac{d}{dx} tx` $\frac{d}{dx}tx$|`Derivative(x*t, x)`|`t` $t$|
+|`\sum_{i = 1}^{n} i` $\sum_{i = 1}^{n} i$|`Sum(i, (i, 1, n))`|`\frac{n \left(n + 1\right)}{2}` $\frac{n \left(n + 1\right)}{2}$|
+|`\int_{a}^{b} \frac{dt}{t}`|`Integral(1/t, (t, a, b))`|`-\log{(a)} + \log{(b)}` $-\log{(a)} + \log{(b)}$|
+|`(2x^3 - x + z)|_{x=3}` $(2x^3 - x + z)\|_{x=3}$|`z + 51`| `z + 51` $z + 51$ |
+
+If you want to read the math formula, you can click [GitNotes](https://notes.orangex4.cool/?git=github&github=OrangeX4/latex2sympy).
+
+ Matrix
+
+Determinant
+
+``` python
+from latex2sympy2 import latex2sympy
+
+tex = r"\begin{vmatrix} x & 0 & 0 \\ 0 & x & 0 \\ 0 & 0 & x \end{vmatrix}"
+latex2sympy(tex)
+# => "x^{3}"
+```
+
+Transpose
+
+``` python
+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]])"
+```
+
+Elementary Transformation
+
+``` python
+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]])"
+```
+
+ Variances
+
+``` python
+from latex2sympy2 import latex2sympy, variances, var, set_variances
+
+# Assign x a value of 1
+latex2sympy(r"x = 1")
+
+# Calculate x + y
+latex2sympy(r"x + y")
+# => "y + 1"
+
+# Get all variances
+print(variances)
+# => "{x: 1}"
+
+# Get variance of "x"
+print(var["x"])
+# => "1"
+
+# Reset all variances
+set_variances({})
+latex2sympy(r"x + y")
+# => "x + y"
+```
+
+
+Contributing
+
+If you want to add a new grammar, you can fork the code from [OrangeX4/latex2sympy](https://github.com/OrangeX4/latex2sympy).
+
+* To modify parser grammar, view the existing structure in `PS.g4`.
+* To modify the action associated with each grammar, look into `latex2sympy.py`.
+
+Contributors are welcome! Feel free to open a pull request or an issue.