---
url: >-
  https://adk.nht.io/api/@nhtio/adk/batteries/tools/math/variables/evaluateKatexTool.md
description: >-
  Translates a LaTeX/KaTeX expression into mathjs syntax, evaluates it, and
  returns the result.
---

# Variable: evaluateKatexTool

```ts
const evaluateKatexTool: Tool<SpooledArtifact>;
```

Defined in: [batteries/tools/math/index.ts:452](https://github.com/NHTIO/ADK/blob/v1.20260605.0/src/batteries/tools/math/index.ts#L452)

Translates a LaTeX/KaTeX expression into mathjs syntax, evaluates it, and returns the result.

## Remarks

Translates common LaTeX constructs (`\frac{a}{b}`, `\sqrt{...}`, `\cdot`, `\times`, Greek
macros like `\pi`, inverse trig `\arcsin`/`\arccos`/`\arctan`, `\left`/`\right` delimiters,
`\text{...}`, subscripts, etc.) into their mathjs equivalents before evaluation. Both the source
and the translated mathjs expression are subject to the 1000-character length cap.

Also evaluates three calculus constructs **numerically** (mathjs has no symbolic integration, and
its symbolic `derivative` is blocklisted here for safety):

* Definite integrals — `\int_{a}^{b} f \,dx` via composite Simpson quadrature.
* Derivatives at a point — `\frac{d}{dx} f \big|_{x=a}` via central finite difference.
* Limits — `\lim_{x \to a} f` (including `a = \pm\infty`) via a two-sided numeric approach.

Numeric results are rounded with `math.format(..., { precision: 12 })` and labelled
`Result (numeric):` to flag that they are approximations. Constructs that cannot be evaluated
numerically (indefinite integrals, derivatives without a point, infinite integration bounds,
singular integrands, divergent limits) return a specific, guiding error string.

Parse and evaluation errors are returned as error strings rather than thrown.