* `le`: `l`ess than or `e`qual – kleiner oder gleich

{* ../../docs_src/path_params_numeric_validations/tutorial005_an_py39.py hl[10] *}

## Validierung von Zahlen: Floats, größer und kleiner

Zahlenvalidierung funktioniert auch für <abbr title="Kommazahl">`float`</abbr>-Werte.

    * objets JSON (`dict`).
    * listes JSON (`list`) définissant des types d'éléments.
    * Champs String (`str`), définition de longueur minimum ou maximale.
    * Nombres (`int`, `float`) avec valeur minimale and maximale, etc.

* Validation pour des types plus exotiques, tel que:
    * URL.
    * Email.
    * UUID.
    * ...et autres.

{* ../../docs_src/response_model/tutorial004_py310.py hl[9,11:12] *}

* `description: Union[str, None] = None` (o `str | None = None` en Python 3.10) tiene un valor por defecto de `None`.
* `tax: float = 10.5` tiene un valor por defecto de `10.5`.
* `tags: List[str] = []` tiene un valor por defecto de una lista vacía: `[]`.

pero podrías querer omitirlos del resultado si no fueron en realidad almacenados.

			p.errorf("missing closing paren")
		}
		return v
	case '+':
		return +p.floatExpr()
	case '-':
		return -p.floatExpr()
	case scanner.Float:
		return p.atof(tok.String())
	}
	p.errorf("unexpected %s evaluating float expression", tok)
	return 0
}

// term = factor | factor ('*' | '/' | '%' | '>>' | '<<' | '&') factor
func (p *Parser) term() uint64 {
	value := p.factor()

```Python hl_lines="4  9-12  25-27"
from typing import Union

from fastapi import FastAPI
from pydantic import BaseModel

app = FastAPI()


class Item(BaseModel):
    name: str
    price: float
    is_offer: Union[bool, None] = None


@app.get("/")
def read_root():
    return {"Hello": "World"}


@app.get("/items/{item_id}")
def read_item(item_id: int, q: Union[str, None] = None):

```Python hl_lines="4  9-12  25-27"
from typing import Optional

from fastapi import FastAPI
from pydantic import BaseModel

app = FastAPI()


class Item(BaseModel):
    name: str
    price: float
    is_offer: Union[bool, None] = None


@app.get("/")
def read_root():
    return {"Hello": "World"}


@app.get("/items/{item_id}")
def read_item(item_id: int, q: Union[str, None] = None):

      assertEquals(
          new Sink(4).putUnencodedChars(s).hash(), new Sink(4).putString(s, UTF_16LE).hash());
    }
  }

  public void testFloat() {
    Sink sink = new Sink(4);
    sink.putFloat(Float.intBitsToFloat(0x04030201));
    HashCode unused = sink.hash();
    sink.assertInvariants(4);
    sink.assertBytes(new byte[] {1, 2, 3, 4});
  }

  public void testDouble() {
    Sink sink = new Sink(8);

                return null;
            }

            @Override
            public String getTrackTotalHits() {
                return null;
            }

            @Override
            public Float getMinScore() {
                return null;
            }

            @Override
            public String[] getResponseFields() {
                return new String[0];
            }
        };
    }

     */
    public String getTrackTotalHits() {
        return null;
    }

    /**
     * Returns the min score.
     *
     * @return The min score.
     */
    public Float getMinScore() {
        return null;
    }

    /**
     * Returns true if the request has a condition query, otherwise false.
     *
     * @return True if the request has a condition query, otherwise false.

{* ../../docs_src/path_params_numeric_validations/tutorial005_an_py39.py hl[10] *}

## Validations numériques : flottants, supérieur et inférieur

Les validations numériques fonctionnent également pour les valeurs `float`.