# measurements

This module contains functions that compute measurements of distance, area and angles. There are also functions to compute geometry values determined by measurements.

## ST\_ANGLE <a href="#st_angle" id="st_angle"></a>

```sql
ST_ANGLE(startPoint, midPoint, endPoint, mercator)
```

**Description**

Finds the angle formed by two adjacent segments defined by 3 points. The result will be the (positive clockwise) angle with origin on the startPoint-midPoint segment, or its explementary angle if required.

**Input parameters**

* `startPoint`: `GEOGRAPHY` start Point Coordinates.
* `midPoint`: `GEOGRAPHY` mid Point Coordinates.
* `endPoint`: `GEOGRAPHY` end Point Coordinates.
* `mercator`: `BOOL`|`NULL` if calculations should be performed over Mercator or WGS84 projection. If `NULL` the default value `false` is used.

**Return type**

`FLOAT64`

**Example**

{% tabs %}
{% tab title="carto-un" %}

```sql
SELECT `carto-un`.carto.ST_ANGLE(ST_GEOGPOINT(-3.70325 ,40.4167), ST_GEOGPOINT(-4.70325 ,10.4167), ST_GEOGPOINT(-5.70325 ,40.4167), FALSE);
-- 3.933094586038578
```

{% endtab %}

{% tab title="carto-un-eu" %}

```sql
SELECT `carto-un-eu`.carto.ST_ANGLE(ST_GEOGPOINT(-3.70325 ,40.4167), ST_GEOGPOINT(-4.70325 ,10.4167), ST_GEOGPOINT(-5.70325 ,40.4167), FALSE);
-- 3.933094586038578
```

{% endtab %}

{% tab title="manual" %}

```sql
SELECT carto.ST_ANGLE(ST_GEOGPOINT(-3.70325 ,40.4167), ST_GEOGPOINT(-4.70325 ,10.4167), ST_GEOGPOINT(-5.70325 ,40.4167), FALSE);
-- 3.933094586038578
```

{% endtab %}
{% endtabs %}

## ST\_MINKOWSKIDISTANCE <a href="#st_minkowskidistance" id="st_minkowskidistance"></a>

```sql
ST_MINKOWSKIDISTANCE(geog, p)
```

**Description**

Calculate the Minkowski p-norm distance between two features.

**Input parameters**

* `geog`: `ARRAY<GEOGRAPHY>` featureCollection.
* `p`: `FLOAT64` minkowski p-norm distance parameter. 1: Manhattan distance. 2: Euclidean distance. 1 =< p <= infinity. If `NULL` the default value `2` is used.

**Return type**

`ARRAY<STRING>`

**Example**

{% tabs %}
{% tab title="carto-un" %}

```sql
SELECT `carto-un`.carto.ST_MINKOWSKIDISTANCE([ST_GEOGPOINT(10,10),ST_GEOGPOINT(13,10)],2);
-- ["0,0.3333333333333333","0.3333333333333333,0"]
```

{% endtab %}

{% tab title="carto-un-eu" %}

```sql
SELECT `carto-un-eu`.carto.ST_MINKOWSKIDISTANCE([ST_GEOGPOINT(10,10),ST_GEOGPOINT(13,10)],2);
-- ["0,0.3333333333333333","0.3333333333333333,0"]
```

{% endtab %}

{% tab title="manual" %}

```sql
SELECT carto.ST_MINKOWSKIDISTANCE([ST_GEOGPOINT(10,10),ST_GEOGPOINT(13,10)],2);
-- ["0,0.3333333333333333","0.3333333333333333,0"]
```

{% endtab %}
{% endtabs %}

<img src="/files/4m1BK9j4Wq34gat4HHd2" alt="EU flag" data-size="line">This project has received funding from the [European Union’s Horizon 2020](https://ec.europa.eu/programmes/horizon2020/en) research and innovation programme under grant agreement No 960401.


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