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Columnar.rst
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.. Licensed to the Apache Software Foundation (ASF) under one
.. or more contributor license agreements. See the NOTICE file
.. distributed with this work for additional information
.. regarding copyright ownership. The ASF licenses this file
.. to you under the Apache License, Version 2.0 (the
.. "License"); you may not use this file except in compliance
.. with the License. You may obtain a copy of the License at
.. http://www.apache.org/licenses/LICENSE-2.0
.. Unless required by applicable law or agreed to in writing,
.. software distributed under the License is distributed on an
.. "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
.. KIND, either express or implied. See the License for the
.. specific language governing permissions and limitations
.. under the License.
.. _format_columnar:
*********************
Arrow Columnar Format
*********************
*Version: 1.5*
.. seealso:: :ref:`Additions to the Arrow columnar format since version 1.0.0
<post-1-0-0-format-versions>`
The **Arrow columnar format** includes a language-agnostic in-memory
data structure specification, metadata serialization, and a protocol
for serialization and generic data transport.
This document is intended to provide adequate detail to create a new
implementation of the columnar format without the aid of an existing
implementation. We utilize Google's `Flatbuffers`_ project for
metadata serialization, so it will be necessary to refer to the
project's `Flatbuffers protocol definition files`_
while reading this document.
The columnar format has some key features:
* Data adjacency for sequential access (scans)
* O(1) (constant-time) random access
* SIMD and vectorization-friendly
* Relocatable without "pointer swizzling", allowing for true zero-copy
access in shared memory
The Arrow columnar format provides analytical performance and data
locality guarantees in exchange for comparatively more expensive
mutation operations. This document is concerned only with in-memory
data representation and serialization details; issues such as
coordinating mutation of data structures are left to be handled by
implementations.
Terminology
===========
Since different projects have used different words to describe various
concepts, here is a small glossary to help disambiguate.
* **Array** or **Vector**: a sequence of values with known length all
having the same type. These terms are used interchangeably in
different Arrow implementations, but we use "array" in this
document.
* **Slot**: a single logical value in an array of some particular data type
* **Buffer** or **Contiguous memory region**: a sequential virtual
address space with a given length. Any byte can be reached via a
single pointer offset less than the region's length.
* **Physical Layout**: The underlying memory layout for an array
without taking into account any value semantics. For example, a
32-bit signed integer array and 32-bit floating point array have the
same layout.
* **Data type**: An application-facing semantic value type that is
implemented using some physical layout. For example, Decimal128
values are stored as 16 bytes in a fixed-size binary
layout. A timestamp may be stored as 64-bit fixed-size layout.
* **Primitive type**: a data type having no child types. This includes
such types as fixed bit-width, variable-size binary, and null types.
* **Nested type**: a data type whose full structure depends on one or
more other child types. Two fully-specified nested types are equal
if and only if their child types are equal. For example, ``List<U>``
is distinct from ``List<V>`` iff U and V are different types.
* **Parent** and **child arrays**: names to express relationships
between physical value arrays in a nested type structure. For
example, a ``List<T>``-type parent array has a T-type array as its
child (see more on lists below).
* **Parametric type**: a type which requires additional parameters
for full determination of its semantics. For example, all nested types
are parametric by construction. A timestamp is also parametric as it needs
a unit (such as microseconds) and a timezone.
.. _data_types:
Data Types
==========
The file `Schema.fbs`_ defines built-in data types supported by the
Arrow columnar format. Each data type uses a well-defined physical layout.
`Schema.fbs`_ is the authoritative source for the description of the
standard Arrow data types. However, we also provide the below table for
convenience:
+--------------------+------------------------------+------------------------------------------------------------+
| Type | Type Parameters *(1)* | Physical Memory Layout |
+====================+==============================+============================================================+
| Null | | Null |
+--------------------+------------------------------+------------------------------------------------------------+
| Boolean | | Fixed-size Primitive |
+--------------------+------------------------------+------------------------------------------------------------+
| Int | * bit width | *" (same as above)* |
| | * signedness | |
+--------------------+------------------------------+------------------------------------------------------------+
| Floating Point | * precision | *"* |
+--------------------+------------------------------+------------------------------------------------------------+
| Decimal | * bit width | *"* |
| | * scale | |
| | * precision | |
+--------------------+------------------------------+------------------------------------------------------------+
| Date | * unit | *"* |
+--------------------+------------------------------+------------------------------------------------------------+
| Time | * bit width *(2)* | *"* |
| | * unit | |
+--------------------+------------------------------+------------------------------------------------------------+
| Timestamp | * unit | *"* |
| | * timezone | |
+--------------------+------------------------------+------------------------------------------------------------+
| Interval | * unit | *"* |
+--------------------+------------------------------+------------------------------------------------------------+
| Duration | * unit | *"* |
+--------------------+------------------------------+------------------------------------------------------------+
| Fixed-Size Binary | * byte width | Fixed-size Binary |
+--------------------+------------------------------+------------------------------------------------------------+
| Binary | | Variable-size Binary with 32-bit offsets |
+--------------------+------------------------------+------------------------------------------------------------+
| Utf8 | | *"* |
+--------------------+------------------------------+------------------------------------------------------------+
| Large Binary | | Variable-size Binary with 64-bit offsets |
+--------------------+------------------------------+------------------------------------------------------------+
| Large Utf8 | | *"* |
+--------------------+------------------------------+------------------------------------------------------------+
| Binary View | | Variable-size Binary View |
+--------------------+------------------------------+------------------------------------------------------------+
| Utf8 View | | *"* |
+--------------------+------------------------------+------------------------------------------------------------+
| Fixed-Size List | * *value type* | Fixed-size List |
| | * list size | |
+--------------------+------------------------------+------------------------------------------------------------+
| List | * *value type* | Variable-size List with 32-bit offsets |
+--------------------+------------------------------+------------------------------------------------------------+
| Large List | * *value type* | Variable-size List with 64-bit offsets |
+--------------------+------------------------------+------------------------------------------------------------+
| List View | * *value type* | Variable-size List View with 32-bit offsets and sizes |
+--------------------+------------------------------+------------------------------------------------------------+
| Large List View | * *value type* | Variable-size List View with 64-bit offsets and sizes |
+--------------------+------------------------------+------------------------------------------------------------+
| Struct | * *children* | Struct |
+--------------------+------------------------------+------------------------------------------------------------+
| Map | * *children* | Variable-size List of Structs |
| | * keys sortedness | |
+--------------------+------------------------------+------------------------------------------------------------+
| Union | * *children* | Dense or Sparse Union *(3)* |
| | * mode | |
| | * type ids | |
+--------------------+------------------------------+------------------------------------------------------------+
| Dictionary | * *index type* *(4)* | Dictionary Encoded |
| | * *value type* | |
| | * orderedness | |
+--------------------+------------------------------+------------------------------------------------------------+
| Run-End Encoded | * *run end type* *(5)* | Run-End Encoded |
| | * *value type* | |
+--------------------+------------------------------+------------------------------------------------------------+
* \(1) Type parameters listed in *italics* denote a data type's child types.
* \(2) The *bit width* parameter of a Time type is technically redundant as
each *unit* mandates a single bit width.
* \(3) Whether a Union type uses the Sparse or Dense layout is denoted by its
*mode* parameter.
* \(4) The *index type* of a Dictionary type can only be an integer type,
preferably signed, with width 8 to 64 bits.
* \(5) The *run end type* of a Run-End Encoded type can only be a signed integer type
with width 16 to 64 bits.
.. note::
Sometimes the term "logical type" is used to denote the Arrow data types
and distinguish them from their respective physical layouts. However,
unlike other type systems such as `Apache Parquet <https://parquet.apache.org/>`__'s,
the Arrow type system doesn't have separate notions of physical types and
logical types.
The Arrow type system separately provides
:ref:`extension types <format_metadata_extension_types>`, which allow
annotating standard Arrow data types with richer application-facing semantics
(for example defining a "JSON" type laid upon the standard String data type).
.. _format_layout:
Physical Memory Layout
======================
Arrays are defined by a few pieces of metadata and data:
* A data type.
* A sequence of buffers.
* A length as a 64-bit signed integer. Implementations are permitted
to be limited to 32-bit lengths, see more on this below.
* A null count as a 64-bit signed integer.
* An optional **dictionary**, for dictionary-encoded arrays.
Nested arrays additionally have a sequence of one or more sets of
these items, called the **child arrays**.
Each data type has a well-defined physical layout. Here are the different
physical layouts defined by Arrow:
* **Primitive (fixed-size)**: a sequence of values each having the
same byte or bit width
* **Variable-size Binary**: a sequence of values each having a variable
byte length. Two variants of this layout are supported using 32-bit
and 64-bit length encoding.
* **View of Variable-size Binary**: a sequence of values each having a
variable byte length. In contrast to Variable-size Binary, the values
of this layout are distributed across potentially multiple buffers
instead of densely and sequentially packed in a single buffer.
* **Fixed-size List**: a nested layout where each value has the same
number of elements taken from a child data type.
* **Variable-size List**: a nested layout where each value is a
variable-length sequence of values taken from a child data type. Two
variants of this layout are supported using 32-bit and 64-bit length
encoding.
* **View of Variable-size List**: a nested layout where each value is a
variable-length sequence of values taken from a child data type. This
layout differs from **Variable-size List** by having an additional
buffer containing the sizes of each list value. This removes a constraint
on the offsets buffer — it does not need to be in order.
* **Struct**: a nested layout consisting of a collection of named
child **fields** each having the same length but possibly different
types.
* **Sparse** and **Dense Union**: a nested layout representing a
sequence of values, each of which can have type chosen from a
collection of child array types.
* **Dictionary-Encoded**: a layout consisting of a sequence of
integers (any bit-width) which represent indexes into a dictionary
which could be of any type.
* **Run-End Encoded (REE)**: a nested layout consisting of two child arrays,
one representing values, and one representing the logical index where
the run of a corresponding value ends.
* **Null**: a sequence of all null values.
The Arrow columnar memory layout only applies to *data* and not
*metadata*. Implementations are free to represent metadata in-memory
in whichever form is convenient for them. We handle metadata
**serialization** in an implementation-independent way using
`Flatbuffers`_, detailed below.
Buffer Alignment and Padding
----------------------------
Implementations are recommended to allocate memory on aligned
addresses (multiple of 8- or 64-bytes) and pad (overallocate) to a
length that is a multiple of 8 or 64 bytes. When serializing Arrow
data for interprocess communication, these alignment and padding
requirements are enforced. If possible, we suggest that you prefer
using 64-byte alignment and padding. Unless otherwise noted, padded
bytes do not need to have a specific value.
The alignment requirement follows best practices for optimized memory
access:
* Elements in numeric arrays will be guaranteed to be retrieved via aligned access.
* On some architectures alignment can help limit partially used cache lines.
The recommendation for 64 byte alignment comes from the `Intel
performance guide`_ that recommends alignment of memory to match SIMD
register width. The specific padding length was chosen because it
matches the largest SIMD instruction registers available on widely
deployed x86 architecture (Intel AVX-512).
The recommended padding of 64 bytes allows for using `SIMD`_
instructions consistently in loops without additional conditional
checks. This should allow for simpler, efficient and CPU
cache-friendly code. In other words, we can load the entire 64-byte
buffer into a 512-bit wide SIMD register and get data-level
parallelism on all the columnar values packed into the 64-byte
buffer. Guaranteed padding can also allow certain compilers to
generate more optimized code directly (e.g. One can safely use Intel's
``-qopt-assume-safe-padding``).
Array lengths
-------------
Array lengths are represented in the Arrow metadata as a 64-bit signed
integer. An implementation of Arrow is considered valid even if it only
supports lengths up to the maximum 32-bit signed integer, though. If using
Arrow in a multi-language environment, we recommend limiting lengths to
2 :sup:`31` - 1 elements or less. Larger data sets can be represented using
multiple array chunks.
Null count
----------
The number of null value slots is a property of the physical array and
considered part of the data structure. The null count is represented
in the Arrow metadata as a 64-bit signed integer, as it may be as
large as the array length.
Validity bitmaps
----------------
Any value in an array may be semantically null, whether primitive or nested
type.
All array types, with the exception of union types (more on these later),
utilize a dedicated memory buffer, known as the validity (or "null") bitmap, to
encode the nullness or non-nullness of each value slot. The validity bitmap
must be large enough to have at least 1 bit for each array slot.
Whether any array slot is valid (non-null) is encoded in the respective bits of
this bitmap. A 1 (set bit) for index ``j`` indicates that the value is not null,
while a 0 (bit not set) indicates that it is null. Bitmaps are to be
initialized to be all unset at allocation time (this includes padding): ::
is_valid[j] -> bitmap[j / 8] & (1 << (j % 8))
We use `least-significant bit (LSB) numbering`_ (also known as
bit-endianness). This means that within a group of 8 bits, we read
right-to-left: ::
values = [0, 1, null, 2, null, 3]
bitmap
j mod 8 7 6 5 4 3 2 1 0
0 0 1 0 1 0 1 1
Arrays having a 0 null count may choose to not allocate the validity
bitmap; how this is represented depends on the implementation (for
example, a C++ implementation may represent such an "absent" validity
bitmap using a NULL pointer). Implementations may choose to always allocate
a validity bitmap anyway as a matter of convenience. Consumers of Arrow
arrays should be ready to handle those two possibilities.
Nested type arrays (except for union types as noted above) have their own
top-level validity bitmap and null count, regardless of the null count and
valid bits of their child arrays.
Array slots which are null are not required to have a particular value;
any "masked" memory can have any value and need not be zeroed, though
implementations frequently choose to zero memory for null values.
Fixed-size Primitive Layout
---------------------------
A primitive value array represents an array of values each having the
same physical slot width typically measured in bytes, though the spec
also provides for bit-packed types (e.g. boolean values encoded in
bits).
Internally, the array contains a contiguous memory buffer whose total
size is at least as large as the slot width multiplied by the array
length. For bit-packed types, the size is rounded up to the nearest
byte.
The associated validity bitmap is contiguously allocated (as described
above) but does not need to be adjacent in memory to the values
buffer.
**Example Layout: Int32 Array**
For example a primitive array of int32s: ::
[1, null, 2, 4, 8]
Would look like: ::
* Length: 5, Null count: 1
* Validity bitmap buffer:
| Byte 0 (validity bitmap) | Bytes 1-63 |
|--------------------------|-----------------------|
| 00011101 | 0 (padding) |
* Value Buffer:
| Bytes 0-3 | Bytes 4-7 | Bytes 8-11 | Bytes 12-15 | Bytes 16-19 | Bytes 20-63 |
|-------------|-------------|-------------|-------------|-------------|-----------------------|
| 1 | unspecified | 2 | 4 | 8 | unspecified (padding) |
**Example Layout: Non-null int32 Array**
``[1, 2, 3, 4, 8]`` has two possible layouts: ::
* Length: 5, Null count: 0
* Validity bitmap buffer:
| Byte 0 (validity bitmap) | Bytes 1-63 |
|--------------------------|-----------------------|
| 00011111 | 0 (padding) |
* Value Buffer:
| Bytes 0-3 | Bytes 4-7 | Bytes 8-11 | Bytes 12-15 | Bytes 16-19 | Bytes 20-63 |
|-------------|-------------|-------------|-------------|-------------|-----------------------|
| 1 | 2 | 3 | 4 | 8 | unspecified (padding) |
or with the bitmap elided: ::
* Length 5, Null count: 0
* Validity bitmap buffer: Not required
* Value Buffer:
| Bytes 0-3 | Bytes 4-7 | Bytes 8-11 | bytes 12-15 | bytes 16-19 | Bytes 20-63 |
|-------------|-------------|-------------|-------------|-------------|-----------------------|
| 1 | 2 | 3 | 4 | 8 | unspecified (padding) |
Variable-size Binary Layout
---------------------------
Each value in this layout consists of 0 or more bytes. While primitive
arrays have a single values buffer, variable-size binary have an
**offsets** buffer and **data** buffer.
The offsets buffer contains ``length + 1`` signed integers (either
32-bit or 64-bit, depending on the data type), which encode the
start position of each slot in the data buffer. The length of the
value in each slot is computed using the difference between the offset
at that slot's index and the subsequent offset. For example, the
position and length of slot j is computed as:
::
slot_position = offsets[j]
slot_length = offsets[j + 1] - offsets[j] // (for 0 <= j < length)
It should be noted that a null value may have a positive slot length.
That is, a null value may occupy a **non-empty** memory space in the data
buffer. When this is true, the content of the corresponding memory space
is undefined.
Offsets must be monotonically increasing, that is ``offsets[j+1] >= offsets[j]``
for ``0 <= j < length``, even for null slots. This property ensures the
location for all values is valid and well defined.
Generally the first slot in the offsets array is 0, and the last slot
is the length of the values array. When serializing this layout, we
recommend normalizing the offsets to start at 0.
**Example Layout: ``VarBinary``**
``['joe', null, null, 'mark']``
will be represented as follows: ::
* Length: 4, Null count: 2
* Validity bitmap buffer:
| Byte 0 (validity bitmap) | Bytes 1-63 |
|--------------------------|-----------------------|
| 00001001 | 0 (padding) |
* Offsets buffer:
| Bytes 0-19 | Bytes 20-63 |
|----------------|-----------------------|
| 0, 3, 3, 3, 7 | unspecified (padding) |
* Value buffer:
| Bytes 0-6 | Bytes 7-63 |
|----------------|-----------------------|
| joemark | unspecified (padding) |
.. _variable-size-binary-view-layout:
Variable-size Binary View Layout
--------------------------------
.. versionadded:: Arrow Columnar Format 1.4
Each value in this layout consists of 0 or more bytes. These bytes'
locations are indicated using a **views** buffer, which may point to one
of potentially several **data** buffers or may contain the characters
inline.
The views buffer contains ``length`` view structures with the following layout:
::
* Short strings, length <= 12
| Bytes 0-3 | Bytes 4-15 |
|------------|---------------------------------------|
| length | data (padded with 0) |
* Long strings, length > 12
| Bytes 0-3 | Bytes 4-7 | Bytes 8-11 | Bytes 12-15 |
|------------|------------|------------|-------------|
| length | prefix | buf. index | offset |
In both the long and short string cases, the first four bytes encode the
length of the string and can be used to determine how the rest of the view
should be interpreted.
In the short string case the string's bytes are inlined — stored inside the
view itself, in the twelve bytes which follow the length. Any remaining bytes
after the string itself are padded with ``0``.
In the long string case, a buffer index indicates which data buffer
stores the data bytes and an offset indicates where in that buffer the
data bytes begin. Buffer index 0 refers to the first data buffer, IE
the first buffer **after** the validity buffer and the views buffer.
The half-open range ``[offset, offset + length)`` must be entirely contained
within the indicated buffer. A copy of the first four bytes of the string is
stored inline in the prefix, after the length. This prefix enables a
profitable fast path for string comparisons, which are frequently determined
within the first four bytes.
All integers (length, buffer index, and offset) are signed.
This layout is adapted from TU Munich's `UmbraDB`_.
Note that this layout uses one additional buffer to store the variadic buffer
lengths in the :ref:`Arrow C data interface <c-data-interface-binary-view-arrays>`.
.. _variable-size-list-layout:
Variable-size List Layout
-------------------------
List is a nested type which is semantically similar to variable-size
binary. There are two list layout variations — "list" and "list-view" —
and each variation can be delimited by either 32-bit or 64-bit offsets
integers.
List Layout
~~~~~~~~~~~
The List layout is defined by two buffers, a validity bitmap and an offsets
buffer, and a child array. The offsets are the same as in the
variable-size binary case, and both 32-bit and 64-bit signed integer
offsets are supported options for the offsets. Rather than referencing
an additional data buffer, instead these offsets reference the child
array.
Similar to the layout of variable-size binary, a null value may
correspond to a **non-empty** segment in the child array. When this is
true, the content of the corresponding segment can be arbitrary.
A list type is specified like ``List<T>``, where ``T`` is any type
(primitive or nested). In these examples we use 32-bit offsets where
the 64-bit offset version would be denoted by ``LargeList<T>``.
**Example Layout: ``List<Int8>`` Array**
We illustrate an example of ``List<Int8>`` with length 4 having values::
[[12, -7, 25], null, [0, -127, 127, 50], []]
will have the following representation: ::
* Length: 4, Null count: 1
* Validity bitmap buffer:
| Byte 0 (validity bitmap) | Bytes 1-63 |
|--------------------------|-----------------------|
| 00001101 | 0 (padding) |
* Offsets buffer (int32)
| Bytes 0-3 | Bytes 4-7 | Bytes 8-11 | Bytes 12-15 | Bytes 16-19 | Bytes 20-63 |
|------------|-------------|-------------|-------------|-------------|-----------------------|
| 0 | 3 | 3 | 7 | 7 | unspecified (padding) |
* Values array (Int8Array):
* Length: 7, Null count: 0
* Validity bitmap buffer: Not required
* Values buffer (int8)
| Bytes 0-6 | Bytes 7-63 |
|------------------------------|-----------------------|
| 12, -7, 25, 0, -127, 127, 50 | unspecified (padding) |
**Example Layout: ``List<List<Int8>>``**
``[[[1, 2], [3, 4]], [[5, 6, 7], null, [8]], [[9, 10]]]``
will be represented as follows: ::
* Length 3
* Nulls count: 0
* Validity bitmap buffer: Not required
* Offsets buffer (int32)
| Bytes 0-3 | Bytes 4-7 | Bytes 8-11 | Bytes 12-15 | Bytes 16-63 |
|------------|------------|------------|-------------|-----------------------|
| 0 | 2 | 5 | 6 | unspecified (padding) |
* Values array (`List<Int8>`)
* Length: 6, Null count: 1
* Validity bitmap buffer:
| Byte 0 (validity bitmap) | Bytes 1-63 |
|--------------------------|-------------|
| 00110111 | 0 (padding) |
* Offsets buffer (int32)
| Bytes 0-27 | Bytes 28-63 |
|----------------------|-----------------------|
| 0, 2, 4, 7, 7, 8, 10 | unspecified (padding) |
* Values array (Int8):
* Length: 10, Null count: 0
* Validity bitmap buffer: Not required
| Bytes 0-9 | Bytes 10-63 |
|-------------------------------|-----------------------|
| 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 | unspecified (padding) |
.. _listview-layout:
ListView Layout
~~~~~~~~~~~~~~~
.. versionadded:: Arrow Columnar Format 1.4
The ListView layout is defined by three buffers: a validity bitmap, an offsets
buffer, and an additional sizes buffer. Sizes and offsets have the identical bit
width and both 32-bit and 64-bit signed integer options are supported.
As in the List layout, the offsets encode the start position of each slot in the
child array. In contrast to the List layout, list lengths are stored explicitly
in the sizes buffer instead of inferred. This allows offsets to be out of order.
Elements of the child array do not have to be stored in the same order they
logically appear in the list elements of the parent array.
Every list-view value, including null values, has to guarantee the following
invariants: ::
0 <= offsets[i] <= length of the child array
0 <= offsets[i] + size[i] <= length of the child array
A list-view type is specified like ``ListView<T>``, where ``T`` is any type
(primitive or nested). In these examples we use 32-bit offsets and sizes where
the 64-bit version would be denoted by ``LargeListView<T>``.
**Example Layout: ``ListView<Int8>`` Array**
We illustrate an example of ``ListView<Int8>`` with length 4 having values::
[[12, -7, 25], null, [0, -127, 127, 50], []]
It may have the following representation: ::
* Length: 4, Null count: 1
* Validity bitmap buffer:
| Byte 0 (validity bitmap) | Bytes 1-63 |
|--------------------------|-----------------------|
| 00001101 | 0 (padding) |
* Offsets buffer (int32)
| Bytes 0-3 | Bytes 4-7 | Bytes 8-11 | Bytes 12-15 | Bytes 16-63 |
|------------|-------------|-------------|-------------|-----------------------|
| 0 | 7 | 3 | 0 | unspecified (padding) |
* Sizes buffer (int32)
| Bytes 0-3 | Bytes 4-7 | Bytes 8-11 | Bytes 12-15 | Bytes 16-63 |
|------------|-------------|-------------|-------------|-----------------------|
| 3 | 0 | 4 | 0 | unspecified (padding) |
* Values array (Int8Array):
* Length: 7, Null count: 0
* Validity bitmap buffer: Not required
* Values buffer (int8)
| Bytes 0-6 | Bytes 7-63 |
|------------------------------|-----------------------|
| 12, -7, 25, 0, -127, 127, 50 | unspecified (padding) |
**Example Layout: ``ListView<Int8>`` Array**
We continue with the ``ListView<Int8>`` type, but this instance illustrates out
of order offsets and sharing of child array values. It is an array with length 5
having logical values::
[[12, -7, 25], null, [0, -127, 127, 50], [], [50, 12]]
It may have the following representation: ::
* Length: 5, Null count: 1
* Validity bitmap buffer:
| Byte 0 (validity bitmap) | Bytes 1-63 |
|--------------------------|-----------------------|
| 00011101 | 0 (padding) |
* Offsets buffer (int32)
| Bytes 0-3 | Bytes 4-7 | Bytes 8-11 | Bytes 12-15 | Bytes 16-19 | Bytes 20-63 |
|------------|-------------|-------------|-------------|-------------|-----------------------|
| 4 | 7 | 0 | 0 | 3 | unspecified (padding) |
* Sizes buffer (int32)
| Bytes 0-3 | Bytes 4-7 | Bytes 8-11 | Bytes 12-15 | Bytes 16-19 | Bytes 20-63 |
|------------|-------------|-------------|-------------|-------------|-----------------------|
| 3 | 0 | 4 | 0 | 2 | unspecified (padding) |
* Values array (Int8Array):
* Length: 7, Null count: 0
* Validity bitmap buffer: Not required
* Values buffer (int8)
| Bytes 0-6 | Bytes 7-63 |
|------------------------------|-----------------------|
| 0, -127, 127, 50, 12, -7, 25 | unspecified (padding) |
Fixed-Size List Layout
----------------------
Fixed-Size List is a nested type in which each array slot contains a
fixed-size sequence of values all having the same type.
A fixed size list type is specified like ``FixedSizeList<T>[N]``,
where ``T`` is any type (primitive or nested) and ``N`` is a 32-bit
signed integer representing the length of the lists.
A fixed size list array is represented by a values array, which is a
child array of type T. T may also be a nested type. The value in slot
``j`` of a fixed size list array is stored in an ``N``-long slice of
the values array, starting at an offset of ``j * N``.
**Example Layout: ``FixedSizeList<byte>[4]`` Array**
Here we illustrate ``FixedSizeList<byte>[4]``.
For an array of length 4 with respective values: ::
[[192, 168, 0, 12], null, [192, 168, 0, 25], [192, 168, 0, 1]]
will have the following representation: ::
* Length: 4, Null count: 1
* Validity bitmap buffer:
| Byte 0 (validity bitmap) | Bytes 1-63 |
|--------------------------|-----------------------|
| 00001101 | 0 (padding) |
* Values array (byte array):
* Length: 16, Null count: 0
* validity bitmap buffer: Not required
| Bytes 0-3 | Bytes 4-7 | Bytes 8-15 |
|-----------------|-------------|---------------------------------|
| 192, 168, 0, 12 | unspecified | 192, 168, 0, 25, 192, 168, 0, 1 |
Struct Layout
-------------
A struct is a nested type parameterized by an ordered sequence of
types (which can all be distinct), called its fields. Each field must
have a UTF8-encoded name, and these field names are part of the type
metadata.
Physically, a struct array has one child array for each field. The
child arrays are independent and need not be adjacent to each other in
memory. A struct array also has a validity bitmap to encode top-level
validity information.
For example, the struct (field names shown here as strings for illustration
purposes)::
Struct <
name: VarBinary
age: Int32
>
has two child arrays, one ``VarBinary`` array (using variable-size binary
layout) and one 4-byte primitive value array having ``Int32`` logical
type.
**Example Layout: ``Struct<VarBinary, Int32>``**
The layout for ``[{'joe', 1}, {null, 2}, null, {'mark', 4}]``, having
child arrays ``['joe', null, 'alice', 'mark']`` and ``[1, 2, null, 4]``
would be: ::
* Length: 4, Null count: 1
* Validity bitmap buffer:
| Byte 0 (validity bitmap) | Bytes 1-63 |
|--------------------------|-----------------------|
| 00001011 | 0 (padding) |
* Children arrays:
* field-0 array (`VarBinary`):
* Length: 4, Null count: 1
* Validity bitmap buffer:
| Byte 0 (validity bitmap) | Bytes 1-63 |
|--------------------------|-----------------------|
| 00001101 | 0 (padding) |
* Offsets buffer:
| Bytes 0-19 | Bytes 20-63 |
|----------------|-----------------------|
| 0, 3, 3, 8, 12 | unspecified (padding) |
* Value buffer:
| Bytes 0-11 | Bytes 12-63 |
|----------------|-----------------------|
| joealicemark | unspecified (padding) |
* field-1 array (int32 array):
* Length: 4, Null count: 1
* Validity bitmap buffer:
| Byte 0 (validity bitmap) | Bytes 1-63 |
|--------------------------|-----------------------|
| 00001011 | 0 (padding) |
* Value Buffer:
| Bytes 0-3 | Bytes 4-7 | Bytes 8-11 | Bytes 12-15 | Bytes 16-63 |
|-------------|-------------|-------------|-------------|-----------------------|
| 1 | 2 | unspecified | 4 | unspecified (padding) |
Struct Validity
~~~~~~~~~~~~~~~
A struct array has its own validity bitmap that is independent of its
child arrays' validity bitmaps. The validity bitmap for the struct
array might indicate a null when one or more of its child arrays has
a non-null value in its corresponding slot; or conversely, a child
array might indicate a null in its validity bitmap while the struct array's
validity bitmap shows a non-null value.
Therefore, to know whether a particular child entry is valid, one must
take the logical AND of the corresponding bits in the two validity bitmaps
(the struct array's and the child array's).
This is illustrated in the example above, one of the child arrays has a
valid entry ``'alice'`` for the null struct but it is "hidden" by the
struct array's validity bitmap. However, when treated independently,
corresponding entries of the children array will be non-null.
Union Layout
------------
A union is defined by an ordered sequence of types; each slot in the
union can have a value chosen from these types. The types are named
like a struct's fields, and the names are part of the type metadata.
Unlike other data types, unions do not have their own validity bitmap. Instead,
the nullness of each slot is determined exclusively by the child arrays which
are composed to create the union.
We define two distinct union types, "dense" and "sparse", that are
optimized for different use cases.
Dense Union
~~~~~~~~~~~
Dense union represents a mixed-type array with 5 bytes of overhead for
each value. Its physical layout is as follows:
* One child array for each type
* Types buffer: A buffer of 8-bit signed integers. Each type in the
union has a corresponding type id whose values are found in this
buffer. A union with more than 127 possible types can be modeled as
a union of unions.
* Offsets buffer: A buffer of signed Int32 values indicating the
relative offset into the respective child array for the type in a
given slot. The respective offsets for each child value array must
be in order / increasing.
**Example Layout: ``DenseUnion<f: Float32, i: Int32>``**
For the union array: ::
[{f=1.2}, null, {f=3.4}, {i=5}]
will have the following layout: ::
* Length: 4, Null count: 0
* Types buffer:
| Byte 0 | Byte 1 | Byte 2 | Byte 3 | Bytes 4-63 |
|----------|-------------|----------|----------|-----------------------|
| 0 | 0 | 0 | 1 | unspecified (padding) |
* Offset buffer:
| Bytes 0-3 | Bytes 4-7 | Bytes 8-11 | Bytes 12-15 | Bytes 16-63 |
|-----------|-------------|------------|-------------|-----------------------|
| 0 | 1 | 2 | 0 | unspecified (padding) |
* Children arrays:
* Field-0 array (f: Float32):
* Length: 3, Null count: 1
* Validity bitmap buffer: 00000101
* Value Buffer:
| Bytes 0-11 | Bytes 12-63 |
|----------------|-----------------------|
| 1.2, null, 3.4 | unspecified (padding) |
* Field-1 array (i: Int32):
* Length: 1, Null count: 0
* Validity bitmap buffer: Not required
* Value Buffer:
| Bytes 0-3 | Bytes 4-63 |
|-----------|-----------------------|
| 5 | unspecified (padding) |
Sparse Union
~~~~~~~~~~~~
A sparse union has the same structure as a dense union, with the omission of
the offsets array. In this case, the child arrays are each equal in length to
the length of the union.
While a sparse union may use significantly more space compared with a
dense union, it has some advantages that may be desirable in certain
use cases:
* A sparse union is more amenable to vectorized expression evaluation in some use cases.
* Equal-length arrays can be interpreted as a union by only defining the types array.
**Example layout: ``SparseUnion<i: Int32, f: Float32, s: VarBinary>``**
For the union array: ::
[{i=5}, {f=1.2}, {s='joe'}, {f=3.4}, {i=4}, {s='mark'}]
will have the following layout: ::
* Length: 6, Null count: 0
* Types buffer:
| Byte 0 | Byte 1 | Byte 2 | Byte 3 | Byte 4 | Byte 5 | Bytes 6-63 |
|------------|-------------|-------------|-------------|-------------|--------------|-----------------------|
| 0 | 1 | 2 | 1 | 0 | 2 | unspecified (padding) |
* Children arrays:
* i (Int32):
* Length: 6, Null count: 4
* Validity bitmap buffer:
| Byte 0 (validity bitmap) | Bytes 1-63 |
|--------------------------|-----------------------|
| 00010001 | 0 (padding) |
* Value buffer:
| Bytes 0-3 | Bytes 4-7 | Bytes 8-11 | Bytes 12-15 | Bytes 16-19 | Bytes 20-23 | Bytes 24-63 |
|-------------|-------------|-------------|-------------|-------------|--------------|-----------------------|
| 5 | unspecified | unspecified | unspecified | 4 | unspecified | unspecified (padding) |
* f (Float32):
* Length: 6, Null count: 4
* Validity bitmap buffer:
| Byte 0 (validity bitmap) | Bytes 1-63 |
|--------------------------|-----------------------|
| 00001010 | 0 (padding) |
* Value buffer:
| Bytes 0-3 | Bytes 4-7 | Bytes 8-11 | Bytes 12-15 | Bytes 16-19 | Bytes 20-23 | Bytes 24-63 |
|--------------|-------------|-------------|-------------|-------------|-------------|-----------------------|
| unspecified | 1.2 | unspecified | 3.4 | unspecified | unspecified | unspecified (padding) |
* s (`VarBinary`)
* Length: 6, Null count: 4
* Validity bitmap buffer:
| Byte 0 (validity bitmap) | Bytes 1-63 |
|--------------------------|-----------------------|
| 00100100 | 0 (padding) |
* Offsets buffer (Int32)
| Bytes 0-3 | Bytes 4-7 | Bytes 8-11 | Bytes 12-15 | Bytes 16-19 | Bytes 20-23 | Bytes 24-27 | Bytes 28-63 |
|------------|-------------|-------------|-------------|-------------|-------------|-------------|------------------------|