Always override hashCode when you override equals

本文详细介绍了 Java 中 hashCode 方法的设计原则及其实现建议。主要内容包括:hashCode 的一致性要求、与 equals 方法的关系、如何为不同类型的字段计算哈希值、如何结合这些哈希值以及推荐的实现步骤。

Here is the contract, copied from the Objectspecification [JavaSE6]:
• Whenever it is invoked on the same object more than once during an execution of an application, the hashCodemethod must consistently return the
same integer, provided no information used in equalscomparisons on the
object is modified. This integer need not remain consistent from one execution of an application to another execution of the same application.
• If two objects are equal according to the equals(Object)method, then calling the hashCodemethod on each of the two objects must produce the same
integer result. 

• It is not required that if two objects are unequal according to the equals(Object)method, then calling the hashCodemethod on each of the two objects
must produce distinct integer results. However, the programmer should be
aware that producing distinct integer results for unequal objects may improve
the performance of hash tables.


Here is a recipe.

1.Store some constant nonzero value,say,17,in an int variable called result.

2. For each significant field fin your object (each field taken into account by the equalsmethod, that is), do the following:

  a. Compute an inthash code cfor the field:
i. If the field is a boolean, compute (f?1:0).
ii. If the field is a byte,char, short, or int, compute (int) f.
iii. If the field is a long, compute (int) (f ^ (f >>> 32)).
iv. If the field is a float, compute Float.floatToIntBits(f).
v. If the field is a double, compute Double.doubleToLongBits(f), and
    then hash the resulting longas in step 2.a.iii.
vi. If the field is an object reference and this class’s equals
 method compares the field by recursively invoking equals, recursively invoke hashCodeon the field. If a more complex comparison is required, compute a “canonical representation” for this field and invoke hashCodeon the canonical representation. If the value of the field is null, return 0(or some other constant, but 0is traditional).

vii. If the field is an array, treat it as if each element were a separate field. That is, compute a hash code for each significant element by applying these rules recursively, and combine these values per step 2.b. If every element in an array field is significant, you can use one of the Arrays.hashCodemethods added in release 1.5.

  b. Combine the hash code ccomputed in step 2.a into resultas follows:
result = 31 * result + c;

3. Return result.

4. When you are finished writing the hashCodemethod, ask yourself whether equal instances have equal hash codes. Write unit tests to verify your intuition! If equal instances have unequal hash codes, figure out why and fix the problem.


For example:

// Lazily initialized, cached hashCode
private volatile int hashCode; // (See Item 71)
@Override public int hashCode() {
int result = hashCode;
if (result == 0) {
result = 17;
result = 31 * result + areaCode;
result = 31 * result + prefix;
result = 31 * result + lineNumber;
hashCode = result;
}
return result;
}

在车辆工程中,悬架系统的性能评估和优化一直是研究的热点。悬架不仅关乎车辆的乘坐舒适性,还直接影响到车辆的操控性和稳定性。为了深入理解悬架的动态行为,研究人员经常使用“二自由度悬架模型”来简化分析,并运用“传递函数”这一数学工具来描述悬架系统的动态特性。 二自由度悬架模型将复杂的车辆系统简化为两个独立的部分:车轮和车身。这种简化模型能够较准确地模拟出车辆在垂直方向上的运动行为,同时忽略了侧向和纵向的动态影响,这使得工程师能够更加专注于分析与优化与垂直动态相关的性能指标。 传递函数作为控制系统理论中的一种工具,能够描述系统输入和输出之间的关系。在悬架系统中,传递函数特别重要,因为它能够反映出路面不平度如何被悬架系统转化为车内乘员感受到的振动。通过传递函数,我们可以得到一个频率域上的表达式,从中分析出悬架系统的关键动态特性,如系统的振幅衰减特性和共振频率等。 在实际应用中,工程师通过使用MATLAB这类数学软件,建立双质量悬架的数学模型。模型中的参数包括车轮质量、车身质量、弹簧刚度以及阻尼系数等。通过编程求解,工程师可以得到悬架系统的传递函数,并据此绘制出传递函数曲线。这为评估悬架性能提供了一个直观的工具,使工程师能够了解悬架在不同频率激励下的响应情况。
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