update README

Author: qwinsi

README.md

@@ -1,5 +1,7 @@
 # tex2typst
-JavaScript library for converting TeX / LaTeX math formula code to Typst
+JavaScript library for conversion between TeX/LaTeX and Typst math formula code.
+
+Despite the name `tex2typst` due to the initial goal of converting TeX to Typst, the library can also convert Typst to TeX since version 0.3.0.
 
 ## Try it online
 
@@ -16,55 +18,35 @@ npm install tex2typst
 ## Or just loading it in a web page
 
 ```html
-<script src="https://cdn.jsdelivr.net/npm/tex2typst@0.2.7/dist/tex2typst.min.js"></script>
+<script src="https://cdn.jsdelivr.net/npm/tex2typst@0.3.0-beta-5/dist/tex2typst.min.js"></script>
 <!-- or  -->
-<script src="https://unpkg.com/tex2typst@0.2.7/dist/tex2typst.min.js"></script>
+<script src="https://unpkg.com/tex2typst@0.3.0-beta-5/dist/tex2typst.min.js"></script>
 ```
 
-Replace `0.2.7` with the latest version number in case this README is outdated.
+Replace `0.3.0-beta-5` with the latest version number in case this README is outdated.
 
-The size of minimized library `tex2typst.min.js` is about 23 KB.
 
 ## Usage
 
-### Basic usage
 
 ```javascript
-import { tex2typst } from 'tex2typst';
-
-let output = tex2typst("\\zeta(s) = \\sum_{n=1}^{\\infty}\\frac{1}{n^s}");
-console.log(output);
-// zeta(s) = sum_(n = 1)^infinity frac(1, n^s)
-```
-
-If you are using the library in a web page via a `<script>` tag, you don't need the line of `import`, function `tex2typst` should be available in the global scope.
+import { tex2typst, typst2tex } from 'tex2typst';
 
+let tex = "e \overset{\text{def}}{=} \lim_{{n \to \infty}} \left(1 + \frac{1}{n}\right)^n";
+let typst = tex2typst(tex);
+console.log(typst);
+// e eq.def lim_(n arrow.r infinity)(1 + frac(1, n))^n
 
-### Advanced options
-
-- custom TeX macros/commands
-
-For example,
-```javascript
-let macros = {
-    "\\sgn": "\\operatorname{sgn}"
-};
-let input = "y = \\sgn(x)";
-let output = tex2typst(input, {customTexMacros: macros});
-console.log(output);
-// y = op("sgn")(x)
+let tex_recovered = typst2tex(typst);
+console.log(tex_recovered);
+// e \overset{\text{def}}{=} \lim_{n \rightarrow \infty} \left(1 + \frac{1}{n} \right)^n
 ```
 
-## How it works
+If you are using the library in a web page via a `<script>` tag, you don't need the line of `import`, function `tex2typst` and `typst2tex` should be available in the global scope.
 
-```mermaid
-graph LR
-    tex[TeX code] --parser--> tex_ast[TeX AST] --converter--> typst_ast[Typst AST] --writer--> typst[Typst code]
-```
+## Open-source license
 
-- parser: Implemented in class `LatexParser`.
-- converter: Implemented in function `convertTree`.
-- writer: Implemented in class `TypstWriter`.
+GPL v3. See [LICENSE](LICENSE) for details.
 
 ## Contributing