[DOCS]: Add Vector tile search API examples (#129520)

* Add vector tile examples

* Add new page to TOC

* Add internal translation example

* Update docs/reference/elasticsearch/rest-apis/vector-tile-search.md

Co-authored-by: István Zoltán Szabó <istvan.szabo@elastic.co>

* Update docs/reference/elasticsearch/rest-apis/vector-tile-search.md

Co-authored-by: István Zoltán Szabó <istvan.szabo@elastic.co>

---------

Co-authored-by: István Zoltán Szabó <istvan.szabo@elastic.co>

docs/reference/elasticsearch/rest-apis/vector-tile-search.md

@@ -0,0 +1,323 @@
+---
+mapped_pages:
+  - https://www.elastic.co/guide/en/elasticsearch/reference/8.18/search-vector-tile-api.html#search-vector-tile-api-api-example
+applies_to:
+  stack: all
+navigation_title: Vector tile search API
+---
+
+# Vector tile search API examples
+
+This page shows how to create an index with geospatial data and retrieve vector tile results using the [vector tile search API](https://www.elastic.co/docs/api/doc/elasticsearch/operation/operation-search-mvt-1). 
+
+
+You can learn how to:
+- [Create an index with geospatial fields](#create-an-index-with-geospatial-fields)
+- [Query geospatial data using a vector tile](#query-a-vector-tile-for-geospatial-data)
+- [Understand the structure of the API response](#example-response)
+- [Understand how the request is internally translated](#how-elasticsearch-translates-the-request-internally)
+
+## Create an index with geospatial fields
+
+The following requests create the `museum` index and add several geospatial
+`location` values.
+
+```console
+PUT museums
+{
+  "mappings": {
+    "properties": {
+      "location": {
+        "type": "geo_point"
+      },
+      "name": {
+        "type": "keyword"
+      },
+      "price": {
+        "type": "long"
+      },
+      "included": {
+        "type": "boolean"
+      }
+    }
+  }
+}
+
+POST museums/_bulk?refresh
+{ "index": { "_id": "1" } }
+{ "location": "POINT (4.912350 52.374081)", "name": "NEMO Science Museum",  "price": 1750, "included": true }
+{ "index": { "_id": "2" } }
+{ "location": "POINT (4.901618 52.369219)", "name": "Museum Het Rembrandthuis", "price": 1500, "included": false }
+{ "index": { "_id": "3" } }
+{ "location": "POINT (4.914722 52.371667)", "name": "Nederlands Scheepvaartmuseum", "price":1650, "included": true }
+{ "index": { "_id": "4" } }
+{ "location": "POINT (4.914722 52.371667)", "name": "Amsterdam Centre for Architecture", "price":0, "included": true }
+```
+
+## Query a vector tile for geospatial data
+
+The following request searches the index for `location` values that intersect
+the `13/4207/2692` vector tile.
+
+```console
+GET museums/_mvt/location/13/4207/2692
+{
+  "grid_agg": "geotile",
+  "grid_precision": 2,
+  "fields": [
+    "name",
+    "price"
+  ],
+  "query": {
+    "term": {
+      "included": true
+    }
+  },
+  "aggs": {
+    "min_price": {
+      "min": {
+        "field": "price"
+      }
+    },
+    "max_price": {
+      "max": {
+        "field": "price"
+      }
+    },
+    "avg_price": {
+      "avg": {
+        "field": "price"
+      }
+    }
+  }
+}
+```
+% TEST[continued]
+
+## Example response
+
+The API returns results as a binary vector tile. When decoded into JSON, the
+tile contains the following data:
+
+```js
+{
+  "hits": {
+    "extent": 4096,
+    "version": 2,
+    "features": [
+      {
+        "geometry": {
+          "type": "Point",
+          "coordinates": [
+            3208,
+            3864
+          ]
+        },
+        "properties": {
+          "_id": "1",
+          "_index": "museums",
+          "name": "NEMO Science Museum",
+          "price": 1750
+        },
+        "type": 1
+      },
+      {
+        "geometry": {
+          "type": "Point",
+          "coordinates": [
+            3429,
+            3496
+          ]
+        },
+        "properties": {
+          "_id": "3",
+          "_index": "museums",
+          "name": "Nederlands Scheepvaartmuseum",
+          "price": 1650
+        },
+        "type": 1
+      },
+      {
+        "geometry": {
+          "type": "Point",
+          "coordinates": [
+            3429,
+            3496
+          ]
+        },
+        "properties": {
+          "_id": "4",
+          "_index": "museums",
+          "name": "Amsterdam Centre for Architecture",
+          "price": 0
+        },
+        "type": 1
+      }
+    ]
+  },
+  "aggs": {
+    "extent": 4096,
+    "version": 2,
+    "features": [
+      {
+        "geometry": {
+          "type": "Polygon",
+          "coordinates": [
+            [
+              [
+                3072,
+                3072
+              ],
+              [
+                4096,
+                3072
+              ],
+              [
+                4096,
+                4096
+              ],
+              [
+                3072,
+                4096
+              ],
+              [
+                3072,
+                3072
+              ]
+            ]
+          ]
+        },
+        "properties": {
+          "_count": 3,
+          "max_price.value": 1750.0,
+          "min_price.value": 0.0,
+          "avg_price.value": 1133.3333333333333
+        },
+        "type": 3
+      }
+    ]
+  },
+  "meta": {
+    "extent": 4096,
+    "version": 2,
+    "features": [
+      {
+        "geometry": {
+          "type": "Polygon",
+          "coordinates": [
+            [
+              [
+                0,
+                0
+              ],
+              [
+                4096,
+                0
+              ],
+              [
+                4096,
+                4096
+              ],
+              [
+                0,
+                4096
+              ],
+              [
+                0,
+                0
+              ]
+            ]
+          ]
+        },
+        "properties": {
+          "_shards.failed": 0,
+          "_shards.skipped": 0,
+          "_shards.successful": 1,
+          "_shards.total": 1,
+          "aggregations._count.avg": 3.0,
+          "aggregations._count.count": 1,
+          "aggregations._count.max": 3.0,
+          "aggregations._count.min": 3.0,
+          "aggregations._count.sum": 3.0,
+          "aggregations.avg_price.avg": 1133.3333333333333,
+          "aggregations.avg_price.count": 1,
+          "aggregations.avg_price.max": 1133.3333333333333,
+          "aggregations.avg_price.min": 1133.3333333333333,
+          "aggregations.avg_price.sum": 1133.3333333333333,
+          "aggregations.max_price.avg": 1750.0,
+          "aggregations.max_price.count": 1,
+          "aggregations.max_price.max": 1750.0,
+          "aggregations.max_price.min": 1750.0,
+          "aggregations.max_price.sum": 1750.0,
+          "aggregations.min_price.avg": 0.0,
+          "aggregations.min_price.count": 1,
+          "aggregations.min_price.max": 0.0,
+          "aggregations.min_price.min": 0.0,
+          "aggregations.min_price.sum": 0.0,
+          "hits.max_score": 0.0,
+          "hits.total.relation": "eq",
+          "hits.total.value": 3,
+          "timed_out": false,
+          "took": 2
+        },
+        "type": 3
+      }
+    ]
+  }
+}
+```
+% NOTCONSOLE
+
+## How Elasticsearch translates the request internally
+
+{{es}} may translate a vector tile search API request with a
+`grid_agg` argument of `geotile` and an `exact_bounds` argument of `true`
+into the following search:
+
+```console
+GET my-index/_search
+{
+  "size": 10000,
+  "query": {
+    "geo_bounding_box": {
+      "my-geo-field": {
+        "top_left": {
+          "lat": -40.979898069620134,
+          "lon": -45
+        },
+        "bottom_right": {
+          "lat": -66.51326044311186,
+          "lon": 0
+        }
+      }
+    }
+  },
+  "aggregations": {
+    "grid": {
+      "geotile_grid": {
+        "field": "my-geo-field",
+        "precision": 11,
+        "size": 65536,
+        "bounds": {
+          "top_left": {
+            "lat": -40.979898069620134,
+            "lon": -45
+          },
+          "bottom_right": {
+            "lat": -66.51326044311186,
+            "lon": 0
+          }
+        }
+      }
+    },
+    "bounds": {
+      "geo_bounds": {
+        "field": "my-geo-field",
+        "wrap_longitude": false
+      }
+    }
+  }
+}
+```
+% TEST[continued]
+

docs/reference/elasticsearch/toc.yml

@@ -106,6 +106,7 @@ toc:
             - file: rest-apis/shard-request-cache.md
             - file: rest-apis/term-vectors-examples.md
             - file: rest-apis/update-cc-api-key-examples.md
+            - file: rest-apis/vector-tile-search.md
   - file: mapping-reference/index.md
     children:
       - file: mapping-reference/document-metadata-fields.md