*          since casting to double is nondecreasing.
     *          Note that the right-hand inequality is no longer strict.
     * Math.sqrt(k * k) <= Math.sqrt(x) <= Math.sqrt((k + 1) * (k + 1))
     *          since Math.sqrt is monotonic.
     * (long) Math.sqrt(k * k) <= (long) Math.sqrt(x) <= (long) Math.sqrt((k + 1) * (k + 1))
     *          since casting to long is monotonic

Le tout conçu en composant réutilisable facilement intégrable à vos systèmes, data stores, base de données relationnelle ou NoSQL, etc.

### Injection de dépendances

FastAPI contient un système simple mais extrêmement puissant d'<abbr title='aussi connus sous le nom de "composants", "ressources", "services", "providers"'><strong>Injection de Dépendances</strong></abbr>.

    * Wenn Sie FastAPI nicht, und direkt Starlette (oder ein anderes Tool wie Sanic, Flask, Responder, usw.) verwenden würden, müssten Sie die gesamte Datenvalidierung und Serialisierung selbst implementieren. Ihre finale Anwendung hätte also immer noch den gleichen Overhead, als ob sie mit FastAPI erstellt worden wäre. Und in vielen Fällen ist diese Datenvalidierung und Serialisierung der größte Teil des in Anwendungen geschriebenen Codes.

![Swagger UI](https://fastapi.tiangolo.com/img/index/index-01-swagger-ui-simple.png)

### Alternatif API Dokümantasyonu

Şimdi <a href="http://127.0.0.1:8000/redoc" class="external-link" target="_blank">http://127.0.0.1:8000/redoc</a> bağlantısını açalım.

### Use the `app.dependency_overrides` attribute

For these cases, your **FastAPI** application has an attribute `app.dependency_overrides`, it is a simple `dict`.

To override a dependency for testing, you put as a key the original dependency (a function), and as the value, your dependency override (another function).

 * under the License.
 */
package org.apache.maven.model.building;

import java.util.ArrayList;
import java.util.List;

import org.apache.maven.model.Model;

/**
 * A simple model problem collector for testing the model building components.
 *
 */
public class SimpleProblemCollector implements ModelProblemCollector {
    private Model model;

    assert response.headers["WWW-Authenticate"] == 'Basic realm="simple"'


def test_security_http_basic_invalid_credentials():
    response = client.get(
        "/users/me", headers={"Authorization": "Basic notabase64token"}
    )
    assert response.status_code == 401, response.text
    assert response.headers["WWW-Authenticate"] == 'Basic realm="simple"'
    assert response.json() == {"detail": "Invalid authentication credentials"}

![Swagger UI](https://fastapi.tiangolo.com/img/index/index-01-swagger-ui-simple.png)

### 대안 API 문서

그리고 이제, <a href="http://127.0.0.1:8000/redoc" class="external-link" target="_blank">http://127.0.0.1:8000/redoc</a>로 가봅니다.

대안 자동 문서를 볼 수 있습니다 (<a href="https://github.com/Rebilly/ReDoc" class="external-link" target="_blank">ReDoc</a> 제공):

![ReDoc](https://fastapi.tiangolo.com/img/index/index-02-redoc-simple.png)

### OpenAPI

 * under the License.
 */
package org.apache.maven.building;

/**
 * Describes a problem that was encountered during settings building. A problem can either be an exception that was
 * thrown or a simple string message. In addition, a problem carries a hint about its source, e.g. the settings file
 * that exhibits the problem.
 *
 */
public interface Problem {

    /**

        SessionBuilder session = new MavenSessionBuilderSupplier(system).get();
        session.withLocalRepositories(new LocalRepository(new File("target/local-repo"), "simple"));
        session.setTransferListener(new ConsoleTransferListener());
        session.setRepositoryListener(new ConsoleRepositoryListener());

        return session.build();
    }