flatMap()还利用了流的部分延迟求值。它将读取第一个流，只有在需要时才会进入下一个流。这里详细解释了这种行为:flatMap保证是懒惰的吗?

传递给流的函数。Map必须返回一个对象。这意味着输入流中的每个对象都会导致输出流中的一个对象。

传递给流的函数。flatMap为每个对象返回一个流。这意味着该函数可以为每个输入对象返回任意数量的对象(包括none)。然后将结果流连接到一个输出流。

map和flatMap都可以应用于一个<T>的流，它们都返回一个<R>的流。不同之处在于map操作为每个输入值生成一个输出值，而flatMap操作为每个输入值生成任意数量(零个或多个)值。

这反映在每个操作的参数中。

map操作接受一个函数，该函数针对输入流中的每个值被调用，并产生一个结果值，该结果值被发送到输出流。

The flatMap operation takes a function that conceptually wants to consume one value and produce an arbitrary number of values. However, in Java, it's cumbersome for a method to return an arbitrary number of values, since methods can return only zero or one value. One could imagine an API where the mapper function for flatMap takes a value and returns an array or a List of values, which are then sent to the output. Given that this is the streams library, a particularly apt way to represent an arbitrary number of return values is for the mapper function itself to return a stream! The values from the stream returned by the mapper are drained from the stream and are passed to the output stream. The "clumps" of values returned by each call to the mapper function are not distinguished at all in the output stream, thus the output is said to have been "flattened."

典型的用法是flatMap的mapper函数返回Stream.empty()，如果它想发送零值，或者类似于Stream。(a, b, c)如果它想返回几个值。当然，任何流都可以返回。

我想举两个例子来说明更实际的观点: 第一个使用地图的例子:

@Test
public void convertStringToUpperCaseStreams() {
    List<String> collected = Stream.of("a", "b", "hello") // Stream of String 
            .map(String::toUpperCase) // Returns a stream consisting of the results of applying the given function to the elements of this stream.
            .collect(Collectors.toList());
    assertEquals(asList("A", "B", "HELLO"), collected);
}

在第一个例子中没有什么特别的，一个函数被应用来返回大写的String。

第二个使用flatMap的例子:

@Test
public void testflatMap() throws Exception {
    List<Integer> together = Stream.of(asList(1, 2), asList(3, 4)) // Stream of List<Integer>
            .flatMap(List::stream)
            .map(integer -> integer + 1)
            .collect(Collectors.toList());
    assertEquals(asList(2, 3, 4, 5), together);
}

在第二个例子中，传递了一个List流。它不是一个整数流! 如果必须使用转换函数(通过map)，则首先必须将流平展为其他类型的流(整数流)。 如果flatMap被移除，则返回以下错误:对于参数类型List, int，操作符+未定义。 不可能在整数列表上应用+ 1 !

对于Map，我们有一个元素列表和一个(函数，动作)f，这样:

[a,b,c] f(x) => [f(a),f(b),f(c)]

对于平面映射，我们有一个元素列表，我们有一个(function,action) f，我们希望结果是扁平的:

[[a,b],[c,d,e]] f(x) =>[f(a),f(b),f(c),f(d),f(e)]

Oracle关于Optional的文章强调了map和flatmap的区别:

String version = computer.map(Computer::getSoundcard)
                  .map(Soundcard::getUSB)
                  .map(USB::getVersion)
                  .orElse("UNKNOWN");

Unfortunately, this code doesn't compile. Why? The variable computer is of type Optional<Computer>, so it is perfectly correct to call the map method. However, getSoundcard() returns an object of type Optional. This means the result of the map operation is an object of type Optional<Optional<Soundcard>>. As a result, the call to getUSB() is invalid because the outermost Optional contains as its value another Optional, which of course doesn't support the getUSB() method. With streams, the flatMap method takes a function as an argument, which returns another stream. This function is applied to each element of a stream, which would result in a stream of streams. However, flatMap has the effect of replacing each generated stream by the contents of that stream. In other words, all the separate streams that are generated by the function get amalgamated or "flattened" into one single stream. What we want here is something similar, but we want to "flatten" a two-level Optional into one. Optional also supports a flatMap method. Its purpose is to apply the transformation function on the value of an Optional (just like the map operation does) and then flatten the resulting two-level Optional into a single one. So, to make our code correct, we need to rewrite it as follows using flatMap:

String version = computer.flatMap(Computer::getSoundcard)
                   .flatMap(Soundcard::getUSB)
                   .map(USB::getVersion)
                   .orElse("UNKNOWN");

第一个flatMap确保返回Optional<Soundcard> 而不是一个Optional<Optional<Soundcard>>，和第二个flatMap 实现相同的目的，返回Optional<USB>。注意 第三个调用只需要一个map()，因为getVersion()返回一个 字符串而不是可选对象。

http://www.oracle.com/technetwork/articles/java/java8-optional-2175753.html