amoeba commented on code in PR #41593:
URL: https://github.com/apache/arrow/pull/41593#discussion_r1602358811


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docs/source/format/FormatIntro.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.
+
+*****************************************
+Introduction to the Arrow Columnar Format
+*****************************************
+
+Apache Arrow was born with the idea to define a set of standards for
+data representation and interchange between languages and systems to
+avoid costs of data serialization/deserialization and in order to
+avoid reinventing the wheel on each of those systems and languages.
+
+Each system / language requires their own format definitions, implementation
+of common algorithms, etcetera. In our heterogeneous environments we
+often have to move data from one system/language to accommodate our
+workflows that meant copy&convert the data between them, which is
+quite costly.
+
+Apart from this initial vision, Arrow has grown to also develop a
+multi-language collection of libraries for solving systems problems
+related to in-memory analytical data processing. This includes such
+topics as:
+
+* Zero-copy shared memory and RPC-based data movement
+* Reading and writing file formats (like CSV, Apache ORC, and Apache Parquet)
+* In-memory analytics and query processing
+
+Arrow Columnar Format
+=====================
+
+.. figure:: ./images/columnar-diagram_1.svg
+   :scale: 70%
+   :alt: Diagram with tabular data of 4 rows and columns.
+
+Data can be represented in memory using a row based format or a column
+based format. The row based format stores data by row meaning the rows
+are adjacent in the computer memory:
+
+.. figure:: ./images/columnar-diagram_2.svg
+   :alt: Tabular data being structured row by row in computer memory.
+
+In a columnar format, on the other hand, the data is organised by column
+instead of by row making analytical operations like filtering, grouping,
+aggregations and others much more efficient. CPU can maintain memory locality
+and require less memory jumps to process the data. By keeping the data 
contiguous
+in memory it also enables vectorization of the computations. Most modern
+CPUs have single instructions, multiple data (SIMD) enabling parallel
+processing and execution of instructions on vector data in single CPU
+instructions.
+
+.. figure:: ./images/columnar-diagram_3.svg
+   :alt: Tabular data being structured column by column in computer memory.
+
+Compression is another element where columnar format representation can
+take high advantage. Data similarity allows for better compression
+techniques and algorithms. Having the same data types locality allows
+to have better compression ratios.
+
+Primitive layouts
+=================
+
+Fixed Size Primitive Layout
+---------------------------
+
+A primitive column represents an array of values where each value
+has the same physical size measured in bytes. Data types that share the
+same fixed size primitive layout are for example signed and unsigned
+integer types, floating point numbers, boolean, decimal and temporal
+types.
+
+Support for null values
+-----------------------
+
+Arrow supports missing values or "nulls" for all data types: any value
+in an array may be semantically null, whether primitive or nested type.
+
+In Arrow, a dedicated buffer, known as the validity (or "null") bitmap,
+is used alongside the data indicating whether each value in the array is
+null or not. You can think of it as vector of 0 and 1 values, where a 1
+means that the value is not-null ("valid"), while a 0 indicates the value
+is null.
+
+This validity bitmap is optional, i.e. if there are no missing values in
+the array the buffer does not need to be allocated (as in the example
+column 1 in the diagram below).
+
+.. figure:: ./images/primitive-diagram.svg
+   :alt: Diagram is showing the difference between the primitive data
+         type presented in a Table and the data actually stored in
+         computer memory.
+
+   Physical layout diagram for primitive data types.
+
+.. note::
+   Boolean data type is represented with a primitive layout where the
+   values are encoded in bits instead of bytes. That means the physical
+   layout includes a values bitmap buffer and possibly a validity bitmap
+   buffer.
+
+   .. figure:: ./images/bool-diagram.svg
+      :alt: Diagram is showing the difference between the boolean data
+            type presented in a Table and the data actually stored in
+            computer memory.
+
+      Physical layout diagram for boolean data type.
+
+.. note::
+   Arrow also has a concept of Null type where all values are null. In
+   this case no memory buffers are allocated.
+
+Variable length binary and string
+---------------------------------
+
+The bytes of a binary or string column are stored together consecutively
+in a single buffer or region of memory. To know where each element of the
+column starts and ends the physical layout also includes integer offsets.
+The length of the offset buffer is one more than the length of the values
+buffer as the last two elements define the start and the end of the last
+element in the binary/string column.
+
+Binary and string types share the same physical layout. The one difference
+between them is that the string type is utf-8 binary and will produce an
+invalid result if the bytes are not valid utf-8.
+
+The difference between binary/string and large binary/string is in the offset
+type. In the first case that is int32 and in the second it is int64.
+
+The limitation of types using 32 bit offsets is that they have a max size of
+2GB per array. One can still use the non-large variants for bigger data, but
+then multiple chunks are needed.
+
+.. figure:: ./images/var-string-diagram.svg
+   :alt: Diagram is showing the difference between the variable length
+         string data type presented in a Table and the data actually
+         stored in computer memory.
+
+   Physical layout diagram for variable length string data types.
+
+Variable length binary and string view
+--------------------------------------
+
+This layout is adapted from TU Munich's UmbraDB and is similar to the string
+layout used in DuckDB and Velox (and sometimes also called "German style 
strings").
+
+The main differences to classical binary and string types is the views buffer.
+It includes the length of the string, and then either contains the characters
+inline (for small strings) or only the first 4 bytes of the string and point to
+potentially several data buffers. It also supports binary and strings to be 
written
+out of order.
+
+These properties are important for efficient string processing. The prefix
+enables a profitable fast path for string comparisons, which are frequently
+determined within the first four bytes. Selecting elements is a simple "take"
+operation on the fixed-width views buffer and does not need to rewrite the
+values buffers.
+
+.. figure:: ./images/var-string-view-diagram.svg
+   :alt: Diagram is showing the difference between the variable length
+         string view data type presented in a Table and the dataactually
+         stored in computer memory.
+
+   Physical layout diagram for variable length string view data type.
+
+Nested layouts
+==============
+
+Nested types introduce the concept of parent and child arrays. They express
+relationships between physical value arrays in a nested type structure.
+
+Nested types depend on one or more other child data types. For instance, List
+is a nested type (parent) that has one child (the data types of the values in
+the list).
+
+List
+----
+
+The list type enables values of the same type being stacked together in a
+sequence of values in each column slot. The layout is similar to binary or
+string type as it has offsets buffer to define where the sequence of values
+starts and ends with all the values of the column being stored consecutively
+in a values child array.
+
+The offsets in the list type are int32 while in the large list the offsets
+are int64.
+
+.. figure:: ./images/var-list-diagram.svg
+   :alt: Diagram is showing the difference between the variable size
+         list data type presented in a Table and the dataactually
+         stored in computer memory.
+
+   Physical layout diagram for variable size list data type.
+
+Fixed size list
+---------------
+
+Fixed size list is a special case of variable-size list where each column slot
+contains a fixed size sequence meaning all lists are the same size and so the
+offset buffer is no longer needed.
+
+.. figure:: ./images/fixed-list-diagram.svg
+   :alt: Diagram is showing the difference between the fixed size list data
+         type presented in a Table and the dataactually stored in computer
+         memory.
+
+   Physical layout diagram for fixed size list data type.
+
+List and large list view
+------------------------
+
+List view type allows arrays to specify out-of-order offsets.
+
+.. figure:: ./images/var-list-view-diagram.svg
+   :alt: Diagram is showing the difference between the variable size list view
+         data type presented in a Table and the dataactually stored in
+         computer memory.
+
+   Physical layout diagram for variable size list view data type.
+
+Struct
+------
+
+A struct is a nested type parameterized by an ordered sequence of types.
+
+* There is one child array for each field
+* Child arrays are independent and need not be adjacent to each other in
+  memory (only need to have the same length)
+
+One can think of an individual struct field as a key-value pair where the
+key is the field name and the child array its values. The field (key) is
+saved in the schema and the values of a specific field (key) are saved in
+the child array.
+
+.. figure:: ./images/struct-diagram.svg
+   :alt: Diagram is showing the difference between the struct data type
+         presented in a Table and the dataactually stored in computer
+         memory.
+
+   Physical layout diagram for struct data type.
+
+Map
+---
+
+Map type represents nested data where each value is a variable number of
+key-value pairs. Its physical representation is the same as a list of ``{key, 
value}``
+structs.
+
+The difference between a struct and a map type is that a struct holds the key
+in the schema, therefore need to be a string, and the values in the child 
arrays,
+one for each field. There can be multiple keys and therefore multiple child 
arrays.
+The map, on the other hand, has one child array holding all the different keys 
(that
+thus all need to be of the same type but not necessarily strings) and a second
+child array holding all the values, those values need to be of the same type 
(which
+doesn't have to match the one on the keys).
+
+Also, the map stores the struct in a list and needs an offset as the list is
+variable shape.
+
+.. figure:: ./images/map-diagram.svg
+   :alt: Diagram is showing the difference between the map data type
+         presented in a Table and the dataactually stored in computer
+         memory.
+
+   Physical layout diagram for map data type.
+
+Union
+-----
+
+The union is a nested type where each slot in the union has a value with a 
type chosen
+from a subset of possible Arrow data types. That means that a union array 
represents a
+mixed-type array. Unlike other data types, unions do not have their own 
validity bitmap
+and the nullness is determined by the child arrays.
+
+Arrow defines two distinct union types, “dense” and “sparse”.
+
+Dense Union
+^^^^^^^^^^^
+
+Dense Union has one child array for each type present in the mixed-type array 
and
+
+* **Types buffer:** holds type id for each slot of the array. Type id 
corresponds
+  to the number of the child array.
+* **Offsets buffer:** holds relative offset into the respective child array 
for each
+  array slot.
+
+.. figure:: ./images/dense-union-diagram.svg
+   :alt: Diagram is showing the difference between the dense union data type
+         presented in a Table and the dataactually stored in computer
+         memory.
+
+   Physical layout diagram for dense union data type.
+
+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.
+
+
+.. figure:: ./images/sparse-union-diagram.svg
+   :alt: Diagram is showing the difference between the sparse union data type
+         presented in a Table and the dataactually stored in computer
+         memory.
+
+   Physical layout diagram for sparse union data type.
+
+Dictionary Encoded Layout
+=========================
+
+Dictionary encoding can be effective when you have data with many repeated 
values.
+The values are represented by integers referencing a dictionary usually 
consisting of
+unique values.
+
+.. figure:: ./images/dictionary-diagram.svg
+   :alt: Diagram is showing the difference between the dictionary data type
+         presented in a Table and the dataactually stored in computer
+         memory.
+
+   Physical layout diagram for dictionary data type.
+
+Run-End Encoded Layout
+======================
+
+Run-end encoding is well-suited for representing data containing sequences of 
the
+same value. These sequences are called runs. Run-end encoded array has no 
buffers
+by itself, but has two child arrays:
+
+*  **Run ends array:** holds the index in the array where each run ends.
+*  **Values array:** the actual values without repetitions.
+
+.. figure:: ./images/ree-diagram.svg
+   :alt: Diagram is showing the difference between the run-end encoded data
+         type presented in a Table and the dataactually stored in computer
+         memory.
+
+   Physical layout diagram for run-end encoded data type.
+
+.. link to All types overview https://github.com/apache/arrow/issues/14752
+
+Extension Types
+===============
+
+In case the system or application needs to extend standard Arrow data types 
with
+custom semantics this is enabled by defining extension types or user-defined 
types.
+
+For example:
+
+* Universally unique identifier (uuid) can be represented as a FixedSizeBinary 
type
+* Trading time can be represented as a Timestamp with metadata indicating the 
market
+  trading calendar
+
+Extension types can be defined by annotating any of the built-in Arrow logical 
types
+(the “storage type”) with a custom type name and optional serialized 
representation
+(``'ARROW:extension:name'`` and ``'ARROW:extension:metadata'`` keys in the 
Field
+metadata structure).
+
+.. seealso::
+   The :ref:`format_metadata_extension_types` documentation.
+
+Canonical Extension Types
+-------------------------
+
+It is beneficial to share the definitions of well-known extension types so as 
to
+improve interoperability between different systems integrating Arrow columnar 
data.
+For this reason canonical extension types are defined in Arrow itself.
+
+Examples:
+
+* Fixed and variable shape tensor
+
+  - :ref:`fixed_shape_tensor_extension`
+  - :ref:`variable_shape_tensor_extension`
+
+.. seealso::
+   The :ref:`format_canonical_extensions` documentation.
+
+Community Extension Types
+-------------------------
+These are Arrow extension types that have been established as standards within 
specific domain areas.
+
+Example:
+
+* GeoArrow - collection of Arrow extension types for representing vector 
geometries
+  https://github.com/geoarrow/geoarrow
+
+Overview of Arrow terminology
+=============================
+
+Buffer
+------
+A contiguous region of memory with a given length. Buffers are used to store 
data for arrays.
+
+Array
+-----
+A contiguous, one-dimensional sequence of values with known length where all 
values have the
+same type. An array consists of zero or more buffers.
+
+Chunked Array
+-------------
+A discontiguous, one-dimensional sequence of values with known length where 
all values have
+the same type. Consists of zero or more arrays, the “chunks”.
+
+.. note::
+   Chunked array is a concept specific to certain implementations such as 
Arrow C++ and PyArrow.
+
+RecordBatch
+-----------
+A contiguous, two-dimensional data structure which consist of ordered 
collection of arrays
+of the same length.
+
+Schema
+------
+A collection of fields with optional metadata that determines all the data 
types of an object
+like a record batch or table.

Review Comment:
   ```suggestion
   like a RecordBatch or Table.
   ```



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