---
title: "ClikaRT::ops::erf"
sidebar_label: "erf"
description: "Elementwise Gauss error function. \\[ \\mathrm{erf}(x_i) = \\tfrac{2}{\\sqrt{\\pi}}\\int_0^{x_i} e^{-t^2}\\,dt \\] Value-domain violations follow IEEE semantics (NaN / ±inf in the result), never an error."
---

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<span class="api-kind api-kind--function">function</span>

## erf() {#erf}

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[`Tensor`](../Tensor.md) **`erf`**([`Tensor`](../Tensor.md) `input`)

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Elementwise Gauss error function.

$$
\mathrm{erf}(x_i) = \tfrac{2}{\sqrt{\pi}}\int_0^{x_i} e^{-t^2}\,dt
$$

Value-domain violations follow IEEE semantics (NaN / ±inf in the result), never an error.

**Throws**

- `ClikaRT::Error`: when the input's dtype is not served for this operation (the machine-readable reason rides `code_name()`).

**Returns:** a new tensor, same shape and dtype as `input`.

```cpp
auto y = ClikaRT::ops::erf(x);
```

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Declared in `ClikaRT/compute/ops.h`, line 5013

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