testRotate(new double[] {}, 0, 0, 0, new double[] {});

    testRotate(new double[] {1}, 0, 0, 1, new double[] {1});
    testRotate(new double[] {1}, 1, 0, 1, new double[] {1});
    testRotate(new double[] {1}, 1, 1, 1, new double[] {1});

    // Rotate the central 5 elements, leaving the ends as-is
    testRotate(new double[] {0, 1, 2, 3, 4, 5, 6}, -6, 1, 6, new double[] {0, 2, 3, 4, 5, 1, 6});

    testRotate(new long[] {}, 0, 0, 0, new long[] {});

    testRotate(new long[] {1}, 0, 0, 1, new long[] {1});
    testRotate(new long[] {1}, 1, 0, 1, new long[] {1});
    testRotate(new long[] {1}, 1, 1, 1, new long[] {1});

    // Rotate the central 5 elements, leaving the ends as-is
    testRotate(new long[] {0, 1, 2, 3, 4, 5, 6}, -6, 1, 6, new long[] {0, 2, 3, 4, 5, 1, 6});

    testRotate(new short[] {}, 0, 0, 0, new short[] {});

    testRotate(new short[] {1}, 0, 0, 1, new short[] {1});
    testRotate(new short[] {1}, 1, 0, 1, new short[] {1});
    testRotate(new short[] {1}, 1, 1, 1, new short[] {1});

    // Rotate the central 5 elements, leaving the ends as-is
    testRotate(new short[] {0, 1, 2, 3, 4, 5, 6}, -6, 1, 6, new short[] {0, 2, 3, 4, 5, 1, 6});

COMMON DEVELOPMENT AND DISTRIBUTION LICENSE (CDDL) Version 1.1

1. Definitions.

    1.1. "Contributor" means each individual or entity that creates or
    contributes to the creation of Modifications.

    1.2. "Contributor Version" means the combination of the Original
    Software, prior Modifications used by a Contributor (if any), and
    the Modifications made by that particular Contributor.

    testRotate(new float[] {}, 0, 0, 0, new float[] {});

    testRotate(new float[] {1}, 0, 0, 1, new float[] {1});
    testRotate(new float[] {1}, 1, 0, 1, new float[] {1});
    testRotate(new float[] {1}, 1, 1, 1, new float[] {1});

    // Rotate the central 5 elements, leaving the ends as-is
    testRotate(new float[] {0, 1, 2, 3, 4, 5, 6}, -6, 1, 6, new float[] {0, 2, 3, 4, 5, 1, 6});

    testRotate(new int[] {}, 0, 0, 0, new int[] {});

    testRotate(new int[] {1}, 0, 0, 1, new int[] {1});
    testRotate(new int[] {1}, 1, 0, 1, new int[] {1});
    testRotate(new int[] {1}, 1, 1, 1, new int[] {1});

    // Rotate the central 5 elements, leaving the ends as-is
    testRotate(new int[] {0, 1, 2, 3, 4, 5, 6}, -6, 1, 6, new int[] {0, 2, 3, 4, 5, 1, 6});

    testRotate(new float[] {}, 0, 0, 0, new float[] {});

    testRotate(new float[] {1}, 0, 0, 1, new float[] {1});
    testRotate(new float[] {1}, 1, 0, 1, new float[] {1});
    testRotate(new float[] {1}, 1, 1, 1, new float[] {1});

    // Rotate the central 5 elements, leaving the ends as-is
    testRotate(new float[] {0, 1, 2, 3, 4, 5, 6}, -6, 1, 6, new float[] {0, 2, 3, 4, 5, 1, 6});

        // Validate notification signature/source
        return true;  // Simplified
    }
}
```

## 11. Monitoring and Metrics

### 11.1 Witness Statistics
```java
public class WitnessStatistics {
    private final AtomicLong registrationsActive = new AtomicLong();
    private final AtomicLong notificationsReceived = new AtomicLong();

---

FastAPI는 현대적이고, 빠르며(고성능), 파이썬 표준 타입 힌트에 기초한 Python의 API를 빌드하기 위한 웹 프레임워크입니다.

주요 특징으로:

* **빠름**: (Starlette과 Pydantic 덕분에) **NodeJS** 및 **Go**와 대등할 정도로 매우 높은 성능. [사용 가능한 가장 빠른 파이썬 프레임워크 중 하나](#_11).

* **빠른 코드 작성**: 약 200%에서 300%까지 기능 개발 속도 증가. *
* **적은 버그**: 사람(개발자)에 의한 에러 약 40% 감소. *
* **직관적**: 훌륭한 편집기 지원. 모든 곳에서 <abbr title="also known as auto-complete, autocompletion, IntelliSense">자동완성</abbr>. 적은 디버깅 시간.

    testRotate(new boolean[] {true}, 0, 0, 1, new boolean[] {true});
    testRotate(new boolean[] {true}, 1, 0, 1, new boolean[] {true});
    testRotate(new boolean[] {true}, 1, 1, 1, new boolean[] {true});

    // Rotate the central 5 elements, leaving the ends as-is
    testRotate(
        new boolean[] {false, true, false, true, false, true, false},
        -6,
        1,
        6,