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(fundamentals:integration)=
# Test Functions for Numerical Integration

The table below listed the available test functions typically used
in the testing and comparison of numerical integration method.

|                               Name                               | Input Dimension |      Constructor       |
|:----------------------------------------------------------------:|:---------------:|:----------------------:|
|   {ref}`Bratley et al. (1992) A <test-functions:bratley1992a>`   |        M        |    `Bratley1992a()`    |
|   {ref}`Bratley et al. (1992) B <test-functions:bratley1992b>`   |        M        |    `Bratley1992b()`    |
|   {ref}`Bratley et al. (1992) C <test-functions:bratley1992c>`   |        M        |    `Bratley1992c()`    |
|   {ref}`Bratley et al. (1992) D <test-functions:bratley1992d>`   |        M        |    `Bratley1992d()`    |
|    {ref}`Genz (Continuous) <test-functions:genz-continuous>`     |        M        |   `GenzContinuous()`   |
|   {ref}`Genz (Corner Peak) <test-functions:genz-corner-peak>`    |        M        |   `GenzCornerPeak()`   |
| {ref}`Genz (Discontinuous) <test-functions:genz-discontinuous>`  |        M        | `GenzDiscontinuous()`  |
|      {ref}`Genz (Gaussian) <test-functions:genz-gaussian>`       |        M        |    `GenzGaussian()`    |
|   {ref}`Genz (Oscillatory) <test-functions:genz-oscillatory>`    |        M        |  `GenzOscillatory()`   |
|  {ref}`Genz (Product Peak) <test-functions:genz-product-peak>`   |        M        |  `GenzProductPeak()`   |
|             {ref}`Sobol'-G <test-functions:sobol-g>`             |        M        |       `SobolG()`       |
|      {ref}`Welch et al. (1992) <test-functions:welch1992>`       |       20        |     `Welch1992()`      |

In a Python terminal, you can list all the available functions relevant
for metamodeling applications using ``list_functions()`` and filter the results
using the ``tag`` parameter:

```{code-cell} ipython3
:tags: ["output_scroll"]

import uqtestfuns as uqtf

uqtf.list_functions(tag="integration", tablefmt="html")
```