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## Java 8 reduce by example

Java 8 reduce is a great method to compute a value from stream of values – reduce collection to value. In this post we’ll explain how reduce in Java work.

## reduce(T initial, BinaryOperator accumulator)

This version takes initial value, goes through all the values in a stream, and passes each of them, with result of previous computation, to the accumulator function to compute the result (maybe sounds complex, but it’s simple):

```List<Integer> numbers = asList(1, 2, 3, 4, 5);
int sum = numbers.stream().reduce(0, (a, b) -> {
System.out.printf("summing(%s, %s)%n", a, b);
return Integer.sum(a, b);
});
System.out.println("Sum: " + sum);
```

In the output you can see that on the left is already accumulated value (initially 0) and on the right is subsequent value from the stream:

```summing(0, 1)
summing(1, 2)
summing(3, 3)
summing(6, 4)
summing(10, 5)
Sum: 15
```

## reduce(BinaryOperator accumulator) to Optional

This version returns Optional, because it doesn’t have initial value, and when the stream would be empty the reduction wouldn’t be able to return any value. Compare these two examples:

```List<Integer> numbers = asList(1, 2, 3, 4, 5);
Optional<Integer> result = numbers.stream()
.reduce(Integer::sum);
int sum = result.orElse(0);
System.out.println("Sum: " + sum);
```

The above code produces the following output:

```Sum: 15
```

If the collection would be empty the value from orElse(0) would be used as in this example:

```// empty list == empty stream!
List<Integer> numbers = emptyList();
Optional<Integer> result = numbers.stream()
.reduce(Integer::sum);
int sum = result.orElse(0);
System.out.println("Sum: " + sum);
```

The code gives:

```Sum: 0
```

## reduce(T initial, BiFunction accumulator, BinaryOperator combiner)

This, three parameter, reduction is designed to be used with parallelStream, else it will behave as normal reduce with initial value and accumulator function. First, let’s create a simple combiner that will log values being combined:

```static BinaryOperator<Integer> COMBINER = (a, b) -> {
System.out.printf("combining(%s, %s)%n", a, b);
return Integer.sum(a, b);
};
```

In the first example we’re going to use the combiner version, but on simple, non-parallel stream:

```List<Integer> numbers = asList(1, 2, 3, 4, 5);
int sum = numbers.stream()
// init, accumulator, combiner
.reduce(0, Integer::sum, COMBINER);
System.out.println("Sum: " + sum);
```

As you can see, the program prints only the accumulated value, because the combiner haven’t been called:

```Sum: 15
```

Only when we use the parallelStream the combiner comes into action:

```List<Integer> numbers = asList(1, 2, 3, 4, 5);
int sum = numbers.parallelStream()
// init, accumulator, combiner
.reduce(0, Integer::sum, COMBINER);
System.out.println("Sum: " + sum);
```

Now the intermediate values, accumulated by accumulator function, are passed to the combiner for final accumulation:

```combining(4, 5)
combining(3, 9)
combining(1, 2)
combining(3, 12)
Sum: 15
```
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