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The following commit(s) were added to refs/heads/master by this push:
     new 310dd5294267 [SPARK-45891][DOCS] Update README with more details
310dd5294267 is described below

commit 310dd529426706819aa71efd72cfba45139e4876
Author: Gene Pang <gene.p...@databricks.com>
AuthorDate: Mon Mar 18 11:07:58 2024 +0800

    [SPARK-45891][DOCS] Update README with more details
    
    ### What changes were proposed in this pull request?
    
    Update the README with more details.
    
    ### Why are the changes needed?
    
    Make the README more reader-friendly.
    
    ### Does this PR introduce _any_ user-facing change?
    
    No
    
    ### How was this patch tested?
    
    n/a
    
    ### Was this patch authored or co-authored using generative AI tooling?
    
    No
    
    Closes #45539 from gene-db/update-readme.
    
    Authored-by: Gene Pang <gene.p...@databricks.com>
    Signed-off-by: Wenchen Fan <wenc...@databricks.com>
---
 common/variant/README.md | 336 +++++++++++++++++++++++++++++++++++++++++------
 1 file changed, 293 insertions(+), 43 deletions(-)

diff --git a/common/variant/README.md b/common/variant/README.md
index 38b648695fba..0fc4d91f3f8a 100644
--- a/common/variant/README.md
+++ b/common/variant/README.md
@@ -5,7 +5,7 @@ A Variant represents a type that contain one of:
 - Array: An ordered list of Variant values
 - Object: An unordered collection of string/Variant pairs (i.e. key/value 
pairs). An object may not contain duplicate keys.
 
-A variant is encoded with 2 binary values, the value and the metadata.
+A variant is encoded with 2 binary values, the [value](#value-encoding) and 
the [metadata](#metadata-encoding).
 
 There are a fixed number of allowed primitive types, provided in the table 
below. These represent a commonly supported subset of the [logical 
types](https://github.com/apache/parquet-format/blob/master/LogicalTypes.md) 
allowed by the Parquet.
 
@@ -15,6 +15,55 @@ Another motivation for the representation is that (aside 
from metadata) each inn
 
 # Metadata encoding
 
+The encoded metadata always starts with a header byte.
+```
+             7     6  5   4  3             0
+            +-------+---+---+---------------+
+header      |       |   |   |    version    |
+            +-------+---+---+---------------+
+                ^         ^
+                |         +-- sorted_strings
+                +-- offset_size_minus_one
+```
+The `version` is a 4-bit value that must always contain the value `1`.
+`sorted_strings` is a 1-bit value indicating whether dictionary strings are 
sorted and unique.
+`offset_size_minus_one` is a 2-bit value providing the number of bytes per 
dictionary size and offset field.
+The actual number of bytes, `offset_size`, is `offset_size_minus_one + 1`.
+
+The entire metadata is encoded as the following diagram shows:
+```
+           7                     0
+          +-----------------------+
+metadata  |        header         |
+          +-----------------------+
+          |                       |
+          :    dictionary_size    :  <-- little-endian, `offset_size` bytes
+          |                       |
+          +-----------------------+
+          |                       |
+          :        offset         :  <-- little-endian, `offset_size` bytes
+          |                       |
+          +-----------------------+
+                      :
+          +-----------------------+
+          |                       |
+          :        offset         :  <-- little-endian, `offset_size` bytes
+          |                       |      (`dictionary_size + 1` offsets)
+          +-----------------------+
+          |                       |
+          :         bytes         :
+          |                       |
+          +-----------------------+
+```
+
+The metadata is encoded first with the `header` byte, then `dictionary_size` 
which is a little-endian value of `offset_size` bytes, and represents the 
number of string values in the dictionary.
+Next, is an `offset` list, which contains `dictionary_size + 1` values.
+Each `offset` is a little-endian value of `offset_size` bytes, and represents 
the starting byte offset of the i-th string in `bytes`.
+The first `offset` value will always be `0`, and the last `offset` value will 
always be the total length of `bytes`.
+The last part of the metadata is `bytes`, which stores all the string values 
in the dictionary.
+
+## Metadata encoding grammar
+
 The grammar for encoded metadata is as follows
 
 ```
@@ -31,7 +80,7 @@ bytes: dictionary string values
 
 Notes:
 - Offsets are relative to the start of the `bytes` array.
-- The length of the ith string can be computed as offset[i+1] - offset[i].
+- The length of the ith string can be computed as `offset[i+1] - offset[i]`.
 - The offset of the first string is always equal to 0 and is therefore 
redundant. It is included in the spec to simplify in-memory-processing.
 - `offset_size_minus_one` indicates the number of bytes per `dictionary_size` 
and `offset` entry. I.e. a value of 0 indicates 1-byte offsets, 1 indicates 
2-byte offsets, 2 indicates 3 byte offsets and 3 indicates 4-byte offsets.
 - If `sorted_strings` is set to 1, strings in the dictionary must be unique 
and sorted in lexicographic order. If the value is set to 0, readers may not 
make any assumptions about string order or uniqueness.
@@ -39,36 +88,237 @@ Notes:
 
 # Value encoding
 
+The entire encoded Variant value includes the `value_metadata` byte, and then 
0 or more bytes for the `val`.
+```
+           7                                  2 1          0
+          +------------------------------------+------------+
+value     |            value_header            | basic_type |
+          +------------------------------------+------------+
+          |                                                 |
+          :                   value_data                    :  <-- 0 or more 
bytes
+          |                                                 |
+          +-------------------------------------------------+
+```
+## Basic Type
+
+The `basic_type` is 2-bit value that represents which basic type the Variant 
value is.
+The [basic types table](#encoding-types) shows what each value represents.
+
+## Value Header
+
+The `value_header` is a 6-bit value that contains more information about the 
type, and the format depends on the `basic_type`.
+
+### Value Header for Primitive type (`basic_type`=0)
+
+When `basic_type` is `0`, `value_header` is a 6-bit `primitive_header`.
+The [primitive types table](#encoding-types) shows what each value represents.
+```
+                 5                     0
+                +-----------------------+
+value_header    |   primitive_header    |
+                +-----------------------+
+```
+
+### Value Header for Short string (`basic_type`=1)
+
+When `basic_type` is `1`, `value_header` is a 6-bit `short_string_header`.
+```
+                 5                     0
+                +-----------------------+
+value_header    |  short_string_header  |
+                +-----------------------+
+```
+The `short_string_header` value is the length of the string.
+
+### Value Header for Object (`basic_type`=2)
+
+When `basic_type` is `2`, `value_header` is made up of 
`field_offset_size_minus_one`, `field_id_size_minus_one`, and `is_large`.
+```
+                  5   4  3     2 1     0
+                +---+---+-------+-------+
+value_header    |   |   |       |       |
+                +---+---+-------+-------+
+                      ^     ^       ^
+                      |     |       +-- field_offset_size_minus_one
+                      |     +-- field_id_size_minus_one
+                      +-- is_large
+```
+`field_offset_size_minus_one` and `field_id_size_minus_one` are 2-bit values 
that represent the number of bytes used to encode the field offsets and field 
ids.
+The actual number of bytes is computed as `field_offset_size_minus_one + 1` 
and `field_id_size_minus_one + 1`.
+`is_large` is a 1-bit value that indicates how many bytes are used to encode 
the number of elements.
+If `is_large` is `0`, 1 byte is used, and if `is_large` is `1`, 4 bytes are 
used.
+
+### Value Header for Array (`basic_type`=3)
+
+When `basic_type` is `3`, `value_header` is made up of 
`field_offset_size_minus_one`, and `is_large`.
+```
+                 5         3  2  1     0
+                +-----------+---+-------+
+value_header    |           |   |       |
+                +-----------+---+-------+
+                              ^     ^
+                              |     +-- field_offset_size_minus_one
+                              +-- is_large
+```
+`field_offset_size_minus_one` is a 2-bit value that represents the number of 
bytes used to encode the field offset.
+The actual number of bytes is computed as `field_offset_size_minus_one + 1`.
+`is_large` is a 1-bit value that indicates how many bytes are used to encode 
the number of elements.
+If `is_large` is `0`, 1 byte is used, and if `is_large` is `1`, 4 bytes are 
used.
+
+## Value Data
+
+The `value_data` encoding format depends on the type specified by 
`value_metadata`.
+For some types, the `value_data` will be 0-bytes.
+
+### Value Data for Primitive type (`basic_type`=0)
+
+When `basic_type` is `0`, `value_data` depends on the `primitive_header` value.
+The [primitive types table](#encoding-types) shows the encoding format for 
each primitive type.
+
+### Value Data for Short string (`basic_type`=1)
+
+When `basic_type` is `1`, `value_data` is the sequence of bytes that 
represents the string.
+
+### Value Data for Object (`basic_type`=2)
+
+When `basic_type` is `2`, `value_data` encodes an object.
+The encoding format is shown in the following diagram:
+```
+                    7                     0
+                   +-----------------------+
+object value_data  |                       |
+                   :     num_elements      :  <-- little-endian, 1 or 4 bytes
+                   |                       |
+                   +-----------------------+
+                   |                       |
+                   :       field_id        :  <-- little-endian, 
`field_id_size` bytes
+                   |                       |
+                   +-----------------------+
+                               :
+                   +-----------------------+
+                   |                       |
+                   :       field_id        :  <-- little-endian, 
`field_id_size` bytes
+                   |                       |      (`num_elements` field_ids)
+                   +-----------------------+
+                   |                       |
+                   :     field_offset      :  <-- little-endian, 
`field_offset_size` bytes
+                   |                       |
+                   +-----------------------+
+                               :
+                   +-----------------------+
+                   |                       |
+                   :     field_offset      :  <-- little-endian, 
`field_offset_size` bytes
+                   |                       |      (`num_elements + 1` 
field_offsets)
+                   +-----------------------+
+                   |                       |
+                   :         value         :
+                   |                       |
+                   +-----------------------+
+                               :
+                   +-----------------------+
+                   |                       |
+                   :         value         :  <-- (`num_elements` values)
+                   |                       |
+                   +-----------------------+
+```
+An object `value_data` begins with `num_elements`, a 1-byte or 4-byte 
little-endian value, representing the number of elements in the object.
+The size in bytes of `num_elements` is indicated by `is_large` in the 
`value_header`.
+Next, is a list of `field_id` values.
+There are `num_elements` number of entries and each `field_id` is a 
little-endian value of `field_id_size` bytes.
+A `field_id` is an index into the dictionary in the metadata.
+The `field_id` list is followed by a `field_offset` list.
+There are `num_elements + 1` number of entries and each `field_offset` is a 
little-endian value of `field_offset_size` bytes.
+A `field_offset` represents the byte offset (relative to the first byte of the 
first `value`) where the i-th `value` starts.
+The last `field_offset` points to the byte after the end of the last `value`.
+The `field_offset` list is followed by the `value` list.
+There are `num_elements` number of `value` entries and each `value` is an 
encoded Variant value.
+For the i-th key-value pair of the object, the key is the metadata dictionary 
entry indexed by the i-th `field_id`, and the value is the Variant `value` 
starting from the i-th `field_offset` byte offset.
+
+The field ids and field offsets must be in lexicographical order of the 
corresponding field names in the metadata dictionary.
+However, the actual `value` entries do not need to be in any particular order.
+This implies that the `field_offset` values may not be monotonically 
increasing.
+For example, for the following object:
+```
+{
+  "c": 3,
+  "b": 2,
+  "a": 1
+}
+```
+The `field_id` list must be `[<id for key "a">, <id for key "b">, <id for key 
"c">]`, in lexicographical order.
+The `field_offset` list must be `[<offset for value 1>, <offset for value 2>, 
<offset for value 3>, <last offset>]`.
+The `value` list can be in any order.
+
+### Value Data for Array (`basic_type`=3)
+
+When `basic_type` is `3`, `value_data` encodes an array. The encoding format 
is shown in the following diagram:
+```
+                   7                     0
+                  +-----------------------+
+array value_data  |                       |
+                  :     num_elements      :  <-- little-endian, 1 or 4 bytes
+                  |                       |
+                  +-----------------------+
+                  |                       |
+                  :     field_offset      :  <-- little-endian, 
`field_offset_size` bytes
+                  |                       |
+                  +-----------------------+
+                              :
+                  +-----------------------+
+                  |                       |
+                  :     field_offset      :  <-- little-endian, 
`field_offset_size` bytes
+                  |                       |      (`num_elements + 1` 
field_offsets)
+                  +-----------------------+
+                  |                       |
+                  :         value         :
+                  |                       |
+                  +-----------------------+
+                              :
+                  +-----------------------+
+                  |                       |
+                  :         value         :  <-- (`num_elements` values)
+                  |                       |
+                  +-----------------------+
+```
+An array `value_data` begins with `num_elements`, a 1-byte or 4-byte 
little-endian value, representing the number of elements in the array.
+The size in bytes of `num_elements` is indicated by `is_large` in the 
`value_header`.
+Next, is a `field_offset` list.
+There are `num_elements + 1` number of entries and each `field_offset` is a 
little-endian value of `field_offset_size` bytes.
+A `field_offset` represents the byte offset (relative to the first byte of the 
first `value`) where the i-th `value` starts.
+The last `field_offset` points to the byte after the last byte of the last 
`value`.
+The `field_offset` list is followed by the `value` list.
+There are `num_elements` number of `value` entries and each `value` is an 
encoded Variant value.
+For the i-th array entry, the value is the Variant `value` starting from the 
i-th `field_offset` byte offset.
+
+## Value encoding grammar
+
 The grammar for an encoded value is:
 
 ```
-value: <val_meta> <val>?
-val_meta: 1 byte (<basic_type> | (<val_header> << 2))
-basic_type: ID from Basic Type table. <val_header> must be a corresponding 
variation
-val_header: <primitive_header> | <short_string_header> | <object_header> | 
<array_header>
+value: <value_metadata> <value_data>?
+value_metadata: 1 byte (<basic_type> | (<value_header> << 2))
+basic_type: ID from Basic Type table. <value_header> must be a corresponding 
variation
+value_header: <primitive_header> | <short_string_header> | <object_header> | 
<array_header>
 primitive_header: ID from Primitive Type table. <val> must be a corresponding 
variation of <primitive_val>
 short_string_header: unsigned string length in bytes from 0 to 63
 object_header: (is_large << 4 | field_id_size_minus_one << 2 | 
field_offset_size_minus_one)
 array_header: (is_large << 2 | field_offset_size_minus_one)
-val:  <primitive_val> | <decimal_val> | <object_val> | <array_val>
+value_data:  <primitive_val> | <short_string_val> | <object_val> | <array_val>
 primitive_val: see table for binary representation
 short_string_val: bytes
-decimal_val: <decimal_scale> <unscaled_decimal_value>
-decimal_scale: one-byte value in the range [0, 38]
-unscaled_decimal_value: see table
 object_val: <num_elements> <field_id>* <field_offset>* <fields>
 array_val: <num_elements> <field_offset>* <fields>
-num_elements: a 1 or 4 byte value (depending on is_large in 
<object_header>/<array_header>)
-field_id: a 1, 2, 3 or 4 byte value (depending on field_id_size_minus_one in 
<object_header>), indexing into the dictionary.
-field_offset: a 1, 2, 3 or 4 byte value (depending on 
field_offset_size_minus_one in <object_header>/<array_header>), providing the 
offset in bytes within fields
+num_elements: a 1 or 4 byte little-endian value (depending on is_large in 
<object_header>/<array_header>)
+field_id: a 1, 2, 3 or 4 byte little-endian value (depending on 
field_id_size_minus_one in <object_header>), indexing into the dictionary
+field_offset: a 1, 2, 3 or 4 byte little-endian value (depending on 
field_offset_size_minus_one in <object_header>/<array_header>), providing the 
offset in bytes within fields
 fields: <value>*
 ```
 
-Each `val` must correspond to the type defined by `val_meta`. Boolean and null 
types do not have a corresponding `val`, since their type defines their value.
+Each `value_data` must correspond to the type defined by `value_metadata`. 
Boolean and null types do not have a corresponding `value_data`, since their 
type defines their value.
 
 Each `array_val` and `object_val` must contain exactly `num_elements + 1` 
values for `field_offset`. The last entry is the offset that is one byte past 
the last field (i.e. the total size of all fields in bytes). All offsets are 
relative to the first byte of the first field in the object/array.
 
-`field_id_size_minus_one` and `field_offset_size_minus_one` indicate the 
number of bytes per field ID/offset. I.e. a value of 0 indicates 1-byte IDs, 1 
indicates 2-byte IDs, 2 indicates 3 byte IDs and 3 indicates 4-byte IDs. The 
`is_large` flag for arrays and objects is used to indicate whether the number 
of elements is indicated using a one or three bytes. When more than 255 
elements are present, `is_large` must be set to true. It is valid for an 
implementation to use a larger value tha [...]
+`field_id_size_minus_one` and `field_offset_size_minus_one` indicate the 
number of bytes per field ID/offset. I.e. a value of 0 indicates 1-byte IDs, 1 
indicates 2-byte IDs, 2 indicates 3 byte IDs and 3 indicates 4-byte IDs. The 
`is_large` flag for arrays and objects is used to indicate whether the number 
of elements is indicated using a one or four byte value. When more than 255 
elements are present, `is_large` must be set to true. It is valid for an 
implementation to use a larger value [...]
 
 The "short string" basic type may be used as an optimization to fold string 
length into the type byte for strings less than 64 bytes. It is semantically 
identical to the "string" primitive type.
 
@@ -78,34 +328,34 @@ The Decimal type contains a scale, but no precision. The 
implied precision of a
 
 # Encoding types
 
-| Basic Type   | ID |
-|--------------|----|
-| Primitive    | 0  |
-| Short string | 1  |
-| Object       | 2  |
-| Array        | 3  |
-
-| Primitive Type              | Type ID | Equivalent Parquet Type   | Binary 
format                                              |
-|-----------------------------|---------|---------------------------|------------------------------------------------------------|
-| null                        | 0       | any                       | none     
                                                  |
-| boolean (True)              | 1       | BOOLEAN                   | none     
                                                  |
-| boolean (False)             | 2       | BOOLEAN                   | none     
                                                  |
-| int8                        | 3       | INT(8, signed)            | 1 byte   
                                                  |
-| int16                       | 4       | INT(16, signed)           | 2 byte 
little-endian                                       |
-| int32                       | 5       | INT(32, signed)           | 4 byte 
little-endian                                       |
-| int64                       | 6       | INT(64, signed)           | 8 byte 
little-endian                                       |
-| double                      | 7       | DOUBLE                    | IEEE 
little-endian                                         |
-| decimal4                    | 8       | DECIMAL(precision, scale) | 
Little-endian, see decimal table                           |
-| decimal8                    | 9       | DECIMAL(precision, scale) | 
Little-endian, see decimal table                           |
-| decimal16                   | 10      | DECIMAL(precision, scale) | 
Little-endian, see decimal table                           |
-| date                        | 11      | DATE                      | 4 byte 
little-endian                                       |
-| timestamp                   | 12      | TIMESTAMP(true, MICROS)   | 8-byte 
little-endian                                       |
-| timestamp without time zone | 13      | TIMESTAMP(false, MICROS)  | 8-byte 
little-endian                                       |
-| float                       | 14      | FLOAT                     | IEEE 
little-endian                                         |
-| binary                      | 15      | BINARY                    | 4 byte 
little-endian size, followed by bytes               |
-| string                      | 16      | STRING                    | 4 byte 
little-endian size, followed by UTF-8 encoded bytes |
-| binary from metadata        | 17      | BINARY                    | 
Little-endian index into the metadata dictionary. Number of bytes is equal to 
the metadata offset_size. |
-| string from metadata        | 18      | STRING                    | 
Little-endian index into the metadata dictionary. Number of bytes is equal to 
the metadata offset_size. |
+| Basic Type   | ID  | Description                                       |
+|--------------|-----|---------------------------------------------------|
+| Primitive    | `0` | One of the primitive types                        |
+| Short string | `1` | A string with a length less than 64 bytes         |
+| Object       | `2` | A collection of (string-key, variant-value) pairs |
+| Array        | `3` | An ordered sequence of variant values             |
+
+| Primitive Type              | Type ID | Equivalent Parquet Type   | Binary 
format                                                                          
                   |
+|-----------------------------|---------|---------------------------|-----------------------------------------------------------------------------------------------------------|
+| null                        | `0`     | any                       | none     
                                                                                
                 |
+| boolean (True)              | `1`     | BOOLEAN                   | none     
                                                                                
                 |
+| boolean (False)             | `2`     | BOOLEAN                   | none     
                                                                                
                 |
+| int8                        | `3`     | INT(8, signed)            | 1 byte   
                                                                                
                 |
+| int16                       | `4`     | INT(16, signed)           | 2 byte 
little-endian                                                                   
                   |
+| int32                       | `5`     | INT(32, signed)           | 4 byte 
little-endian                                                                   
                   |
+| int64                       | `6`     | INT(64, signed)           | 8 byte 
little-endian                                                                   
                   |
+| double                      | `7`     | DOUBLE                    | IEEE 
little-endian                                                                   
                     |
+| decimal4                    | `8`     | DECIMAL(precision, scale) | 1 byte 
scale in range [0, 38], followed by little-endian unscaled value (see decimal 
table)               |
+| decimal8                    | `9`     | DECIMAL(precision, scale) | 1 byte 
scale in range [0, 38], followed by little-endian unscaled value (see decimal 
table)               |
+| decimal16                   | `10`    | DECIMAL(precision, scale) | 1 byte 
scale in range [0, 38], followed by little-endian unscaled value (see decimal 
table)               |
+| date                        | `11`    | DATE                      | 4 byte 
little-endian                                                                   
                   |
+| timestamp                   | `12`    | TIMESTAMP(true, MICROS)   | 8-byte 
little-endian                                                                   
                   |
+| timestamp without time zone | `13`    | TIMESTAMP(false, MICROS)  | 8-byte 
little-endian                                                                   
                   |
+| float                       | `14`    | FLOAT                     | IEEE 
little-endian                                                                   
                     |
+| binary                      | `15`    | BINARY                    | 4 byte 
little-endian size, followed by bytes                                           
                   |
+| string                      | `16`    | STRING                    | 4 byte 
little-endian size, followed by UTF-8 encoded bytes                             
                   |
+| binary from metadata        | `17`    | BINARY                    | 
Little-endian index into the metadata dictionary. Number of bytes is equal to 
the metadata `offset_size`. |
+| string from metadata        | `18`    | STRING                    | 
Little-endian index into the metadata dictionary. Number of bytes is equal to 
the metadata `offset_size`. |
 
 | Decimal Precision     | Decimal value type |
 |-----------------------|--------------------|


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