*/
    return (int) Math.pow(a, 1.0 / concentration);
  }

  @AfterExperiment
  void tearDown() {
    double req = requests.get();
    double hit = req - misses.get();

    // Currently, this is going into /dev/null, but I'll fix that
    System.out.println("hit rate: " + hit / req);
  }

  // for proper distributions later:
  // import JSci.maths.statistics.ProbabilityDistribution;

        result *= i;
      }
      return BigInteger.valueOf(result);
    }

    /*
     * We want each multiplication to have both sides with approximately the same number of digits.
     * Currently, we just divide the range in half.
     */
    int mid = (n1 + n2) >>> 1;
    return oldSlowFactorial(n1, mid).multiply(oldSlowFactorial(mid, n2));
  }

  @Benchmark
  int slowFactorial(int reps) {

        Thread.yield();
      }
      state = get();
    }
    if (restoreInterruptedBit) {
      currentThread.interrupt();
    }
    /*
     * TODO(cpovirk): Clear interrupt status here? We currently don't, which means that an interrupt
     * before, during, or after runInterruptibly() (unless it produced an InterruptedException
     * caught above) can linger and affect listeners.
     */
  }

  /**

        result *= i;
      }
      return BigInteger.valueOf(result);
    }

    /*
     * We want each multiplication to have both sides with approximately the same number of digits.
     * Currently, we just divide the range in half.
     */
    int mid = (n1 + n2) >>> 1;
    return oldSlowFactorial(n1, mid).multiply(oldSlowFactorial(mid, n2));
  }

  @Benchmark
  int slowFactorial(int reps) {

You will see the automatic API docs for the sub-application, including only its own _path operations_, all under the correct sub-path prefix `/subapi`:

<img src="/img/tutorial/sub-applications/image02.png">

Caching
=======

OkHttp implements an optional, off by default, Cache. OkHttp aims for RFC correct and
pragmatic caching behaviour, following common real-world browser like Firefox/Chrome and 
server behaviour when ambiguous.

# Basic Usage

```kotlin
  private val client: OkHttpClient = OkHttpClient.Builder()
      .cache(Cache(
          directory = File(application.cacheDir, "http_cache"),
          // $0.05 worth of phone storage in 2020

package cmd

import (
	"context"
	"os"
	"os/exec"
	"runtime"
	"syscall"

	xioutil "github.com/minio/minio/internal/ioutil"
)

// Type of service signals currently supported.
type serviceSignal int

const (
	serviceRestart       serviceSignal = iota // Restarts the server.
	serviceStop                               // Stops the server.

}

func errInvalidCompression(err error, t CompressionType) *s3Error {
	return &s3Error{
		code:       "InvalidCompressionFormat",
		message:    strings.ToUpper(string(t)) + " is not applicable to the queried object. Please correct the request and try again.",
		statusCode: 400,
		cause:      err,
	}
}

func errInvalidDataSource(err error) *s3Error {
	return &s3Error{
		code:       "InvalidDataSource",

    assertThat(frameLog(true, 3, 10000, TYPE_DATA, 0x20))
      .isEqualTo("<< 0x00000003 10000 DATA          COMPRESSED")
  }

  /**
   * Ensures that valid flag combinations appear visually correct, and invalid show in hex.  This
   * also demonstrates how sparse the lookup table is.
   */
  @Test
  fun allFormattedFlagsWithValidBits() {

          .put(Pattern.class, Pattern.compile(""))
          .put(MatchResult.class, createMatchResult())
          .put(TimeUnit.class, SECONDS)
          .put(Charset.class, UTF_8)
          .put(Currency.class, Currency.getInstance(Locale.US))
          .put(Locale.class, Locale.US)
          .put(UUID.class, UUID.randomUUID())
          // common.base
          .put(CharMatcher.class, CharMatcher.none())