# shortestModDist

[**@qbead/bloch-sphere**](https://qbead.gitbook.io/bloch-sphere/index)

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[@qbead/bloch-sphere](https://qbead.gitbook.io/bloch-sphere/index) / shortestModDist

## Function: shortestModDist()

> **shortestModDist**(`a0`, `a1`, `modulo`): `number`

Defined in: [src/math/geometry.ts:106](https://github.com/qbead/bloch-sphere/blob/41247d60e67bd802cc21854379a06362e5d0957c/src/math/geometry.ts#L106)

Computes the shortest distance between two angles, considering wrap-around

### Parameters

| Parameter | Type     | Description                             |
| --------- | -------- | --------------------------------------- |
| `a0`      | `number` | The first angle                         |
| `a1`      | `number` | The second angle                        |
| `modulo`  | `number` | The modulo value (e.g., 2π for radians) |

### Returns

`number`

The shortest distance from a0 to a1