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> Calculates the total length of union of all ranges (segments on numeric axis).

# intervalLengthSum

<h2 id="intervalLengthSum">
  intervalLengthSum
</h2>

Introduced in: v21.7.0

Takes multiple numeric ranges and calculates the total length when all overlapping parts are combined into a single unified range.

<Note>
  Arguments must be of the same data type.
  Otherwise, an exception will be thrown.
</Note>

**Syntax**

```sql theme={null}
intervalLengthSum(start, end)
```

**Arguments**

* `start` — The starting value of the interval. [`(U)Int32/64`](/reference/data-types/int-uint) or [`Float*`](/reference/data-types/float) or [`DateTime`](/reference/data-types/datetime) or [`Date`](/reference/data-types/date)
* `end` — The ending value of the interval. [`(U)Int32/64`](/reference/data-types/int-uint) or [`Float*`](/reference/data-types/float) or [`DateTime`](/reference/data-types/datetime) or [`Date`](/reference/data-types/date)

**Returned value**

Returns the total length of union of all ranges (segments on numeric axis). Depending on the type of the argument, the return value may be UInt64 or Float64 type. [`UInt64`](/reference/data-types/int-uint) or [`Float64`](/reference/data-types/float)

**Examples**

**Float32 example**

```sql title=Query theme={null}
CREATE TABLE fl_interval (id String, start Float32, end Float32) ENGINE = Memory;
INSERT INTO fl_interval VALUES ('a', 1.1, 2.9), ('a', 2.5, 3.2), ('a', 4, 5);

SELECT id, intervalLengthSum(start, end), toTypeName(intervalLengthSum(start, end)) FROM fl_interval GROUP BY id ORDER BY id;
```

```response title=Response theme={null}
┌─id─┬─intervalLengthSum(start, end)─┬─toTypeName(intervalLengthSum(start, end))─┐
│ a  │                           3.1 │ Float64                                   │
└────┴───────────────────────────────┴───────────────────────────────────────────┘
```

**DateTime example**

```sql title=Query theme={null}
CREATE TABLE dt_interval (id String, start DateTime, end DateTime) ENGINE = Memory;
INSERT INTO dt_interval VALUES ('a', '2020-01-01 01:12:30', '2020-01-01 02:10:10'), ('a', '2020-01-01 02:05:30', '2020-01-01 02:50:31'), ('a', '2020-01-01 03:11:22', '2020-01-01 03:23:31');

SELECT id, intervalLengthSum(start, end), toTypeName(intervalLengthSum(start, end)) FROM dt_interval GROUP BY id ORDER BY id;
```

```response title=Response theme={null}
┌─id─┬─intervalLengthSum(start, end)─┬─toTypeName(intervalLengthSum(start, end))─┐
│ a  │                          6610 │ UInt64                                    │
└────┴───────────────────────────────┴───────────────────────────────────────────┘
```

**Date example**

```sql title=Query theme={null}
CREATE TABLE date_interval (id String, start Date, end Date) ENGINE = Memory;
INSERT INTO date_interval VALUES ('a', '2020-01-01', '2020-01-04'), ('a', '2020-01-12', '2020-01-18');

SELECT id, intervalLengthSum(start, end), toTypeName(intervalLengthSum(start, end)) FROM date_interval GROUP BY id ORDER BY id;
```

```response title=Response theme={null}
┌─id─┬─intervalLengthSum(start, end)─┬─toTypeName(intervalLengthSum(start, end))─┐
│ a  │                             9 │ UInt64                                    │
└────┴───────────────────────────────┴───────────────────────────────────────────┘
```