This code is something you can actually use in your application, save the password hashes in your database, etc.

We are going to start from where we left in the previous chapter and increment it.

## About JWT { #about-jwt }

JWT means "JSON Web Tokens".

It's a standard to codify a JSON object in a long dense string without spaces. It looks like this:

```

    assertThat(decoded.subjectAlternativeNames).isEqualTo(
      Extension(
        id = SUBJECT_ALTERNATIVE_NAME,
        critical = false,
        value =
          listOf(
            Adapters.ANY_VALUE to
              AnyValue(
                tagClass = DerHeader.TAG_CLASS_CONTEXT_SPECIFIC,
                tag = 1L,
                constructed = false,
                length = 16,

import org.apache.maven.model.Site;
import org.codehaus.plexus.util.StringUtils;

/**
 * The domain-specific model merger for the Maven POM, overriding generic code from parent class when necessary with
 * more adapted algorithms.
 *
 * @deprecated use {@code org.apache.maven.impl.model.MavenModelMerger} instead
 */
@Deprecated(since = "4.0.0")
public class MavenModelMerger extends ModelMerger {

    /**

But even if you never use **FastAPI**, you would benefit from learning a bit about them.

/// note

If you are a Python expert, and you already know everything about type hints, skip to the next chapter.

///

## Motivation { #motivation }

Let's start with a simple example:

{* ../../docs_src/python_types/tutorial001_py39.py *}

Calling this program outputs:

```
John Doe
```

    }
    throw new AssertionError();
  }

  @GwtIncompatible // TODO
  private static BigInteger sqrtFloor(BigInteger x) {
    /*
     * Adapted from Hacker's Delight, Figure 11-1.
     *
     * Using DoubleUtils.bigToDouble, getting a double approximation of x is extremely fast, and

 * guarantee that as long as we also require the input type to be non-null[*] (which is a
 * requirement that existing callers already fulfill).
 *
 * Disclaimer: Part of the reason that callers are so well adapted to `Function<A, B>` may be that
 * that is how the signature looked even prior to this comment! So naturally any change can break
 * existing users, but it can't *fix* existing users because any users who needed

    double[] toDoubleArray() {
      return Arrays.copyOfRange(array, start, end);
    }

    @GwtIncompatible @J2ktIncompatible private static final long serialVersionUID = 0;
  }

  /**
   * This is adapted from the regex suggested by {@link Double#valueOf(String)} for prevalidating
   * inputs. All valid inputs must pass this regex, but it's semantically fine if not all inputs

   *     is not precisely representable as a {@code double}
   * @since 30.0
   */
  @GwtIncompatible
  public static double roundToDouble(long x, RoundingMode mode) {
    // Logic adapted from ToDoubleRounder.
    double roundArbitrarily = (double) x;
    long roundArbitrarilyAsLong = (long) roundArbitrarily;
    int cmpXToRoundArbitrarily;

    if (roundArbitrarilyAsLong == Long.MAX_VALUE) {

quarkus/extensions/mutiny/runtime/pom.xml
	quarkus/core/runtime/pom.xml
	quarkus/extensions/smallrye-context-propagation/runtime/pom.xml
	quarkus/test-framework/junit5-internal/pom.xml
quarkus/extensions/netty-loom-adaptor/runtime/pom.xml
	quarkus/core/runtime/pom.xml
	quarkus/extensions/netty/runtime/pom.xml
	quarkus/extensions/arc/runtime/pom.xml
quarkus/extensions/resteasy-classic/rest-client-jsonb/deployment/pom.xml

      <match value="\\section" type="string" offset="0"/>
      <match value="\\setlength" type="string" offset="0"/>
      <match value="\\documentstyle" type="string" offset="0"/>
      <match value="\\chapter" type="string" offset="0"/>
      <match value="\\documentclass" type="string" offset="0"/>
      <match value="\\relax" type="string" offset="0"/>
      <match value="\\contentsline" type="string" offset="0"/>