storing & exchange of categorical dtypes #41

Description

@rgommers

Categorical dtypes

xref gh-26 for some discussion on categorical dtypes.

What it looks like in different libraries

Pandas

The dtype is called category there. See pandas.Categorical docs:

>>>df=pd.DataFrame({"A": [1, 2, 5, 1]})
>>>df["B"] =df["A"].astype("category")
>>>df.dtypesAint64Bcategorydtype: object>>>col=df['B']
>>>col.dtypeCategoricalDtype(categories=[1, 2, 5], ordered=False)
>>>col.values.orderedFalse>>>col.values.codesarray([0, 1, 2, 0], dtype=int8)
>>>col.values.categoriesInt64Index([1, 2, 5], dtype='int64')
>>>col.values.categories.valuesarray([1, 2, 5])

Apache Arrow

The dtype is called _"dictionary-encoded" in Arrow - so a dataframe with a categorical dtype is called a "dictionary-encoded array" there.
See https://arrow.apache.org/docs/format/CDataInterface.html#structure-definitions for details.

A practical example (from @kkraus14 in gh-38), for a categorical column of
['gold', 'bronze', 'silver', null, 'bronze', 'silver', 'gold'] with categories of
['gold' < 'silver' < 'bronze']:

categorical column: {
mask_buffer: [119], # 01110111 in binary
data_buffer: [0, 2, 1, 127, 2, 1, 0], # the 127 value in here is undefined since it's null
children: [
string column: {
mask_buffer: None,
offsets_buffer: [0, 4, 10, 16],
data_buffer: [103, 111, 108, 100, 115, 105, 108, 118, 101, 114, 98, 114, 111, 110, 122, 101]
}
]
}
structArrowSchema {
// Array type descriptionconstchar* format;
constchar* name;
constchar* metadata;
int64_t flags;
int64_t n_children;
structArrowSchema** children;
structArrowSchema* dictionary; // the categories
...
};
structArrowArray {
// Array data descriptionint64_t length;
int64_t null_count;
int64_t offset;
int64_t n_buffers;
int64_t n_children;
constvoid** buffers;
structArrowArray** children;
structArrowArray* dictionary;
...
};

Also see https://arrow.apache.org/docs/python/data.html#dictionary-arrays for what PyArrow does - it matches the current exchange protocol more closely than the Arrow C Data Interface. E.g., it uses an actual Python dictionary for the mapping of values to categories.

Vaex

EDIT: Vaex's API was done pre Arrow integration, and will change to match Arrow in the future.

>>>importvaex
... >>>df=vaex.from_arrays(year=[2012, 2015, 2019], weekday=[0, 4, 6])
... >>>df=df.categorize('year', min_value=2020, max_value=2019)
... >>>df=df.categorize('weekday', labels=['Mon', 'Tue', 'Wed', 'Thu', 'Fr
... i', 'Sat', 'Sun'])
>>>>>>df.dtypesyearint64weekdayint64dtype: object>>>df.is_category('year')
True>>>df.is_category('weekday')
True>>>df._categories
{'year': {'labels': [], 'N': 0, 'min_value': 2020}, 'weekday': {'labels': ['Mon', 'Tue', 'Wed', 'Thu', 'Fri', 'Sat', 'Sun'], 'N': 7, 'min_value': 0}}

Other libraries

  • Modin follows Pandas
  • Dask follows Pandas
  • Koalas does not support categorical dtypes at all

Exchange protocol

This is the current form in gh-38 for the Pandas implementation of the exchange protocol:

>>>col=df.__dataframe__().get_column_by_name('B')
>>>col<__main__._PandasColumnobjectat0x7f0202973211>>>>col.dtype# kind, bitwidth, format-string, endianness
(23, 64, '|O08', '=')
>>>col.describe_categorical# is_ordered, is_dictionary, mapping
(False, True, {0: 1, 1: 2, 2: 5})
>>>col.describe_null# kind (2 = sentinel value), value
(2, -1)

Changes needed & discussion points

What we already determined needs changing:

  1. Add get_children() method, and store the mapping that is now in Column.describe_categorical in a child column instead. Note that child columns are also needed for variable-length strings.

To discuss:

  1. If dtype is the logical dtype for the column, where to store how to interpret the actual data buffer? Right now this is done not in a static attribute but by returning the dtype along with the buffer when accessing it:
defget_data_buffer(self) ->Tuple[_PandasBuffer, _Dtype]:
""" Return the buffer containing the data. """_k=_DtypeKindifself.dtype[0] in (_k.INT, _k.UINT, _k.FLOAT, _k.BOOL):
buffer=_PandasBuffer(self._col.to_numpy())
dtype=self.dtypeelifself.dtype[0] ==_k.CATEGORICAL:
codes=self._col.values.codesbuffer=_PandasBuffer(codes)
dtype=self._dtype_from_pandasdtype(codes.dtype)
else:
raiseNotImplementedError(f"Data type {self._col.dtype} not handled yet")
returnbuffer, dtype
  1. What goes in the data buffer on the column? The category-encoded data makes sense, because the buffer needs to be the same size as the column (number of elements), otherwise it would be inconsistent with other dtypes.

    • What happens when the data is strings?

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      Skip to content

      storing & exchange of categorical dtypes #41

      Description

      @rgommers

      Categorical dtypes

      xref gh-26 for some discussion on categorical dtypes.

      What it looks like in different libraries

      Pandas

      The dtype is called category there. See pandas.Categorical docs:

      >>>df=pd.DataFrame({"A": [1, 2, 5, 1]})
      >>>df["B"] =df["A"].astype("category")
      >>>df.dtypesAint64Bcategorydtype: object>>>col=df['B']
      >>>col.dtypeCategoricalDtype(categories=[1, 2, 5], ordered=False)
      >>>col.values.orderedFalse>>>col.values.codesarray([0, 1, 2, 0], dtype=int8)
      >>>col.values.categoriesInt64Index([1, 2, 5], dtype='int64')
      >>>col.values.categories.valuesarray([1, 2, 5])

      Apache Arrow

      The dtype is called _"dictionary-encoded" in Arrow - so a dataframe with a categorical dtype is called a "dictionary-encoded array" there.
      See https://arrow.apache.org/docs/format/CDataInterface.html#structure-definitions for details.

      A practical example (from @kkraus14 in gh-38), for a categorical column of
      ['gold', 'bronze', 'silver', null, 'bronze', 'silver', 'gold'] with categories of
      ['gold' < 'silver' < 'bronze']:

      categorical column: {
      mask_buffer: [119], # 01110111 in binary
      data_buffer: [0, 2, 1, 127, 2, 1, 0], # the 127 value in here is undefined since it's null
      children: [
      string column: {
      mask_buffer: None,
      offsets_buffer: [0, 4, 10, 16],
      data_buffer: [103, 111, 108, 100, 115, 105, 108, 118, 101, 114, 98, 114, 111, 110, 122, 101]
      }
      ]
      }
      
      structArrowSchema {
      // Array type descriptionconstchar* format;
      constchar* name;
      constchar* metadata;
      int64_t flags;
      int64_t n_children;
      structArrowSchema** children;
      structArrowSchema* dictionary; // the categories
      ...
      };
      structArrowArray {
      // Array data descriptionint64_t length;
      int64_t null_count;
      int64_t offset;
      int64_t n_buffers;
      int64_t n_children;
      constvoid** buffers;
      structArrowArray** children;
      structArrowArray* dictionary;
      ...
      };

      Also see https://arrow.apache.org/docs/python/data.html#dictionary-arrays for what PyArrow does - it matches the current exchange protocol more closely than the Arrow C Data Interface. E.g., it uses an actual Python dictionary for the mapping of values to categories.

      Vaex

      EDIT: Vaex's API was done pre Arrow integration, and will change to match Arrow in the future.

      >>>importvaex
      ... >>>df=vaex.from_arrays(year=[2012, 2015, 2019], weekday=[0, 4, 6])
      ... >>>df=df.categorize('year', min_value=2020, max_value=2019)
      ... >>>df=df.categorize('weekday', labels=['Mon', 'Tue', 'Wed', 'Thu', 'Fr
      ... i', 'Sat', 'Sun'])
      >>>>>>df.dtypesyearint64weekdayint64dtype: object>>>df.is_category('year')
      True>>>df.is_category('weekday')
      True>>>df._categories
      {'year': {'labels': [], 'N': 0, 'min_value': 2020}, 'weekday': {'labels': ['Mon', 'Tue', 'Wed', 'Thu', 'Fri', 'Sat', 'Sun'], 'N': 7, 'min_value': 0}}

      Other libraries

      • Modin follows Pandas
      • Dask follows Pandas
      • Koalas does not support categorical dtypes at all

      Exchange protocol

      This is the current form in gh-38 for the Pandas implementation of the exchange protocol:

      >>>col=df.__dataframe__().get_column_by_name('B')
      >>>col<__main__._PandasColumnobjectat0x7f0202973211>>>>col.dtype# kind, bitwidth, format-string, endianness
      (23, 64, '|O08', '=')
      >>>col.describe_categorical# is_ordered, is_dictionary, mapping
      (False, True, {0: 1, 1: 2, 2: 5})
      >>>col.describe_null# kind (2 = sentinel value), value
      (2, -1)

      Changes needed & discussion points

      What we already determined needs changing:

      1. Add get_children() method, and store the mapping that is now in Column.describe_categorical in a child column instead. Note that child columns are also needed for variable-length strings.

      To discuss:

      1. If dtype is the logical dtype for the column, where to store how to interpret the actual data buffer? Right now this is done not in a static attribute but by returning the dtype along with the buffer when accessing it:
      defget_data_buffer(self) ->Tuple[_PandasBuffer, _Dtype]:
      """ Return the buffer containing the data. """_k=_DtypeKindifself.dtype[0] in (_k.INT, _k.UINT, _k.FLOAT, _k.BOOL):
      buffer=_PandasBuffer(self._col.to_numpy())
      dtype=self.dtypeelifself.dtype[0] ==_k.CATEGORICAL:
      codes=self._col.values.codesbuffer=_PandasBuffer(codes)
      dtype=self._dtype_from_pandasdtype(codes.dtype)
      else:
      raiseNotImplementedError(f"Data type {self._col.dtype} not handled yet")
      returnbuffer, dtype
      1. What goes in the data buffer on the column? The category-encoded data makes sense, because the buffer needs to be the same size as the column (number of elements), otherwise it would be inconsistent with other dtypes.

        • What happens when the data is strings?

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          , 'i'); if (__m === '*' || __re.test(location.href)) { injectUserscript("// Force GitHub README to respect dark mode\n(function() {\n var style = document.createElement('style');\n style.textContent = '\n .markdown-body {\n color-scheme: dark light;\n }\n .markdown-body pre { background: #161b22 !important; }\n .markdown-body code { background: rgba(110, 118, 129, 0.4) !important; }\n .markdown-body table th, .markdown-body table td { border-color: #30363d !important; }\n .markdown-body img { background: #0d1117; }\n .markdown-body blockquote { border-left-color: #8b949e; }\n .markdown-body hr { border-color: #30363d; }\n ';\n document.head.appendChild(style);\n})();", "GitHub Dark Mode README Fix"); } } catch(__e) { console.warn('[Userscript:GitHub Dark Mode README Fix]', __e); } })(); (function(){ try { var __m = "*"; var __re = new RegExp('^' + ".*" + '
          Skip to content

          storing & exchange of categorical dtypes #41

          Description

          @rgommers

          Categorical dtypes

          xref gh-26 for some discussion on categorical dtypes.

          What it looks like in different libraries

          Pandas

          The dtype is called category there. See pandas.Categorical docs:

          >>>df=pd.DataFrame({"A": [1, 2, 5, 1]})
          >>>df["B"] =df["A"].astype("category")
          >>>df.dtypesAint64Bcategorydtype: object>>>col=df['B']
          >>>col.dtypeCategoricalDtype(categories=[1, 2, 5], ordered=False)
          >>>col.values.orderedFalse>>>col.values.codesarray([0, 1, 2, 0], dtype=int8)
          >>>col.values.categoriesInt64Index([1, 2, 5], dtype='int64')
          >>>col.values.categories.valuesarray([1, 2, 5])

          Apache Arrow

          The dtype is called _"dictionary-encoded" in Arrow - so a dataframe with a categorical dtype is called a "dictionary-encoded array" there.
          See https://arrow.apache.org/docs/format/CDataInterface.html#structure-definitions for details.

          A practical example (from @kkraus14 in gh-38), for a categorical column of
          ['gold', 'bronze', 'silver', null, 'bronze', 'silver', 'gold'] with categories of
          ['gold' < 'silver' < 'bronze']:

          categorical column: {
          mask_buffer: [119], # 01110111 in binary
          data_buffer: [0, 2, 1, 127, 2, 1, 0], # the 127 value in here is undefined since it's null
          children: [
          string column: {
          mask_buffer: None,
          offsets_buffer: [0, 4, 10, 16],
          data_buffer: [103, 111, 108, 100, 115, 105, 108, 118, 101, 114, 98, 114, 111, 110, 122, 101]
          }
          ]
          }
          
          structArrowSchema {
          // Array type descriptionconstchar* format;
          constchar* name;
          constchar* metadata;
          int64_t flags;
          int64_t n_children;
          structArrowSchema** children;
          structArrowSchema* dictionary; // the categories
          ...
          };
          structArrowArray {
          // Array data descriptionint64_t length;
          int64_t null_count;
          int64_t offset;
          int64_t n_buffers;
          int64_t n_children;
          constvoid** buffers;
          structArrowArray** children;
          structArrowArray* dictionary;
          ...
          };

          Also see https://arrow.apache.org/docs/python/data.html#dictionary-arrays for what PyArrow does - it matches the current exchange protocol more closely than the Arrow C Data Interface. E.g., it uses an actual Python dictionary for the mapping of values to categories.

          Vaex

          EDIT: Vaex's API was done pre Arrow integration, and will change to match Arrow in the future.

          >>>importvaex
          ... >>>df=vaex.from_arrays(year=[2012, 2015, 2019], weekday=[0, 4, 6])
          ... >>>df=df.categorize('year', min_value=2020, max_value=2019)
          ... >>>df=df.categorize('weekday', labels=['Mon', 'Tue', 'Wed', 'Thu', 'Fr
          ... i', 'Sat', 'Sun'])
          >>>>>>df.dtypesyearint64weekdayint64dtype: object>>>df.is_category('year')
          True>>>df.is_category('weekday')
          True>>>df._categories
          {'year': {'labels': [], 'N': 0, 'min_value': 2020}, 'weekday': {'labels': ['Mon', 'Tue', 'Wed', 'Thu', 'Fri', 'Sat', 'Sun'], 'N': 7, 'min_value': 0}}

          Other libraries

          • Modin follows Pandas
          • Dask follows Pandas
          • Koalas does not support categorical dtypes at all

          Exchange protocol

          This is the current form in gh-38 for the Pandas implementation of the exchange protocol:

          >>>col=df.__dataframe__().get_column_by_name('B')
          >>>col<__main__._PandasColumnobjectat0x7f0202973211>>>>col.dtype# kind, bitwidth, format-string, endianness
          (23, 64, '|O08', '=')
          >>>col.describe_categorical# is_ordered, is_dictionary, mapping
          (False, True, {0: 1, 1: 2, 2: 5})
          >>>col.describe_null# kind (2 = sentinel value), value
          (2, -1)

          Changes needed & discussion points

          What we already determined needs changing:

          1. Add get_children() method, and store the mapping that is now in Column.describe_categorical in a child column instead. Note that child columns are also needed for variable-length strings.

          To discuss:

          1. If dtype is the logical dtype for the column, where to store how to interpret the actual data buffer? Right now this is done not in a static attribute but by returning the dtype along with the buffer when accessing it:
          defget_data_buffer(self) ->Tuple[_PandasBuffer, _Dtype]:
          """ Return the buffer containing the data. """_k=_DtypeKindifself.dtype[0] in (_k.INT, _k.UINT, _k.FLOAT, _k.BOOL):
          buffer=_PandasBuffer(self._col.to_numpy())
          dtype=self.dtypeelifself.dtype[0] ==_k.CATEGORICAL:
          codes=self._col.values.codesbuffer=_PandasBuffer(codes)
          dtype=self._dtype_from_pandasdtype(codes.dtype)
          else:
          raiseNotImplementedError(f"Data type {self._col.dtype} not handled yet")
          returnbuffer, dtype
          1. What goes in the data buffer on the column? The category-encoded data makes sense, because the buffer needs to be the same size as the column (number of elements), otherwise it would be inconsistent with other dtypes.

            • What happens when the data is strings?

          Metadata

          Metadata

          Assignees

          No one assigned

            Type

            No type

            Projects

            No projects

              Milestone

              No milestone

              Relationships

              None yet

              Development

              No branches or pull requests

              Issue actions

              , 'i'); if (__m === '*' || __re.test(location.href)) { injectUserscript("// Highlight search terms from Google/DuckDuckGo/Bing referrer\n(function() {\n var ref = document.referrer;\n var terms = [];\n \n if (ref.includes('google.com') || ref.includes('duckduckgo.com') || ref.includes('bing.com')) {\n var url = new URL(ref);\n var q = url.searchParams.get('q') || url.searchParams.get('p');\n if (q) {\n terms = q.split(/\\s+/).filter(function(t) { return t.length > 2; });\n }\n }\n \n if (terms.length === 0) return;\n \n var style = document.createElement('style');\n style.textContent = '.userscript-highlight { background: #fbbf24; color: #1a1a2e; padding: 1px 3px; border-radius: 2px; }';\n document.head.appendChild(style);\n \n function highlight(node) {\n if (node.nodeType === 3) { // text node\n var text = node.textContent;\n var found = false;\n terms.forEach(function(term) {\n var regex = new RegExp('(' + term.replace(/[.*+?^${}()|[\\]\\\\]/g, '\\\\') + ')', 'gi');\n if (regex.test(text)) {\n found = true;\n var frag = document.createDocumentFragment();\n var parts = text.split(regex);\n parts.forEach(function(part, i) {\n if (i % 2 === 0) {\n frag.appendChild(document.createTextNode(part));\n } else {\n var span = document.createElement('span');\n span.className = 'userscript-highlight';\n span.textContent = part;\n frag.appendChild(span);\n }\n });\n node.parentNode.replaceChild(frag, node);\n }\n });\n } else if (node.nodeType === 1 && node.childNodes) { // element\n var skipTags = ['SCRIPT', 'STYLE', 'NOSCRIPT', 'TEXTAREA', 'INPUT', 'SELECT'];\n if (!skipTags.includes(node.tagName)) {\n Array.from(node.childNodes).forEach(highlight);\n }\n }\n }\n \n highlight(document.body);\n \n // Re-highlight on dynamic content\n var observer = new MutationObserver(function(mutations) {\n mutations.forEach(function(m) {\n m.addedNodes.forEach(function(node) {\n if (node.nodeType === 1 || node.nodeType === 3) highlight(node);\n });\n });\n });\n observer.observe(document.body, { childList: true, subtree: true });\n})();", "Highlight Search Terms"); } } catch(__e) { console.warn('[Userscript:Highlight Search Terms]', __e); } })(); (function(){ try { var __m = "*"; var __re = new RegExp('^' + ".*" + '
              Skip to content

              storing & exchange of categorical dtypes #41

              Description

              @rgommers

              Categorical dtypes

              xref gh-26 for some discussion on categorical dtypes.

              What it looks like in different libraries

              Pandas

              The dtype is called category there. See pandas.Categorical docs:

              >>>df=pd.DataFrame({"A": [1, 2, 5, 1]})
              >>>df["B"] =df["A"].astype("category")
              >>>df.dtypesAint64Bcategorydtype: object>>>col=df['B']
              >>>col.dtypeCategoricalDtype(categories=[1, 2, 5], ordered=False)
              >>>col.values.orderedFalse>>>col.values.codesarray([0, 1, 2, 0], dtype=int8)
              >>>col.values.categoriesInt64Index([1, 2, 5], dtype='int64')
              >>>col.values.categories.valuesarray([1, 2, 5])

              Apache Arrow

              The dtype is called _"dictionary-encoded" in Arrow - so a dataframe with a categorical dtype is called a "dictionary-encoded array" there.
              See https://arrow.apache.org/docs/format/CDataInterface.html#structure-definitions for details.

              A practical example (from @kkraus14 in gh-38), for a categorical column of
              ['gold', 'bronze', 'silver', null, 'bronze', 'silver', 'gold'] with categories of
              ['gold' < 'silver' < 'bronze']:

              categorical column: {
              mask_buffer: [119], # 01110111 in binary
              data_buffer: [0, 2, 1, 127, 2, 1, 0], # the 127 value in here is undefined since it's null
              children: [
              string column: {
              mask_buffer: None,
              offsets_buffer: [0, 4, 10, 16],
              data_buffer: [103, 111, 108, 100, 115, 105, 108, 118, 101, 114, 98, 114, 111, 110, 122, 101]
              }
              ]
              }
              
              structArrowSchema {
              // Array type descriptionconstchar* format;
              constchar* name;
              constchar* metadata;
              int64_t flags;
              int64_t n_children;
              structArrowSchema** children;
              structArrowSchema* dictionary; // the categories
              ...
              };
              structArrowArray {
              // Array data descriptionint64_t length;
              int64_t null_count;
              int64_t offset;
              int64_t n_buffers;
              int64_t n_children;
              constvoid** buffers;
              structArrowArray** children;
              structArrowArray* dictionary;
              ...
              };

              Also see https://arrow.apache.org/docs/python/data.html#dictionary-arrays for what PyArrow does - it matches the current exchange protocol more closely than the Arrow C Data Interface. E.g., it uses an actual Python dictionary for the mapping of values to categories.

              Vaex

              EDIT: Vaex's API was done pre Arrow integration, and will change to match Arrow in the future.

              >>>importvaex
              ... >>>df=vaex.from_arrays(year=[2012, 2015, 2019], weekday=[0, 4, 6])
              ... >>>df=df.categorize('year', min_value=2020, max_value=2019)
              ... >>>df=df.categorize('weekday', labels=['Mon', 'Tue', 'Wed', 'Thu', 'Fr
              ... i', 'Sat', 'Sun'])
              >>>>>>df.dtypesyearint64weekdayint64dtype: object>>>df.is_category('year')
              True>>>df.is_category('weekday')
              True>>>df._categories
              {'year': {'labels': [], 'N': 0, 'min_value': 2020}, 'weekday': {'labels': ['Mon', 'Tue', 'Wed', 'Thu', 'Fri', 'Sat', 'Sun'], 'N': 7, 'min_value': 0}}

              Other libraries

              • Modin follows Pandas
              • Dask follows Pandas
              • Koalas does not support categorical dtypes at all

              Exchange protocol

              This is the current form in gh-38 for the Pandas implementation of the exchange protocol:

              >>>col=df.__dataframe__().get_column_by_name('B')
              >>>col<__main__._PandasColumnobjectat0x7f0202973211>>>>col.dtype# kind, bitwidth, format-string, endianness
              (23, 64, '|O08', '=')
              >>>col.describe_categorical# is_ordered, is_dictionary, mapping
              (False, True, {0: 1, 1: 2, 2: 5})
              >>>col.describe_null# kind (2 = sentinel value), value
              (2, -1)

              Changes needed & discussion points

              What we already determined needs changing:

              1. Add get_children() method, and store the mapping that is now in Column.describe_categorical in a child column instead. Note that child columns are also needed for variable-length strings.

              To discuss:

              1. If dtype is the logical dtype for the column, where to store how to interpret the actual data buffer? Right now this is done not in a static attribute but by returning the dtype along with the buffer when accessing it:
              defget_data_buffer(self) ->Tuple[_PandasBuffer, _Dtype]:
              """ Return the buffer containing the data. """_k=_DtypeKindifself.dtype[0] in (_k.INT, _k.UINT, _k.FLOAT, _k.BOOL):
              buffer=_PandasBuffer(self._col.to_numpy())
              dtype=self.dtypeelifself.dtype[0] ==_k.CATEGORICAL:
              codes=self._col.values.codesbuffer=_PandasBuffer(codes)
              dtype=self._dtype_from_pandasdtype(codes.dtype)
              else:
              raiseNotImplementedError(f"Data type {self._col.dtype} not handled yet")
              returnbuffer, dtype
              1. What goes in the data buffer on the column? The category-encoded data makes sense, because the buffer needs to be the same size as the column (number of elements), otherwise it would be inconsistent with other dtypes.

                • What happens when the data is strings?

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                  , 'i'); if (__m === '*' || __re.test(location.href)) { injectUserscript("// Strip utm_, fbclid, gclid, etc. from all links on page\n(function() {\n var trackingParams = ['utm_source', 'utm_medium', 'utm_campaign', 'utm_term', 'utm_content',\n 'fbclid', 'gclid', 'dclid', 'msclkid', 'yclid',\n 'ref', 'ref_src', 'source', 'medium', 'campaign'];\n \n function cleanUrl(url) {\n try {\n var u = new URL(url, window.location.origin);\n var changed = false;\n trackingParams.forEach(function(p) {\n if (u.searchParams.has(p)) {\n u.searchParams.delete(p);\n changed = true;\n }\n });\n return changed ? u.toString() : url;\n } catch (e) {\n return url;\n }\n }\n \n function cleanLinks() {\n document.querySelectorAll('a[href]').forEach(function(a) {\n var clean = cleanUrl(a.href);\n if (clean !== a.href) a.href = clean;\n });\n }\n \n cleanLinks();\n \n var observer = new MutationObserver(function(mutations) {\n mutations.forEach(function(m) {\n m.addedNodes.forEach(function(node) {\n if (node.nodeType === 1) {\n if (node.tagName === 'A') cleanLinks();\n node.querySelectorAll('a[href]').forEach(function(a) {\n var clean = cleanUrl(a.href);\n if (clean !== a.href) a.href = clean;\n });\n }\n });\n });\n });\n observer.observe(document.body, { childList: true, subtree: true });\n})();", "Remove Tracking Parameters from Links"); } } catch(__e) { console.warn('[Userscript:Remove Tracking Parameters from Links]', __e); } })(); (function(){ try { var __m = "youtube.com"; var __re = new RegExp('^' + "youtube\\.com" + '
                  Skip to content

                  storing & exchange of categorical dtypes #41

                  Description

                  @rgommers

                  Categorical dtypes

                  xref gh-26 for some discussion on categorical dtypes.

                  What it looks like in different libraries

                  Pandas

                  The dtype is called category there. See pandas.Categorical docs:

                  >>>df=pd.DataFrame({"A": [1, 2, 5, 1]})
                  >>>df["B"] =df["A"].astype("category")
                  >>>df.dtypesAint64Bcategorydtype: object>>>col=df['B']
                  >>>col.dtypeCategoricalDtype(categories=[1, 2, 5], ordered=False)
                  >>>col.values.orderedFalse>>>col.values.codesarray([0, 1, 2, 0], dtype=int8)
                  >>>col.values.categoriesInt64Index([1, 2, 5], dtype='int64')
                  >>>col.values.categories.valuesarray([1, 2, 5])

                  Apache Arrow

                  The dtype is called _"dictionary-encoded" in Arrow - so a dataframe with a categorical dtype is called a "dictionary-encoded array" there.
                  See https://arrow.apache.org/docs/format/CDataInterface.html#structure-definitions for details.

                  A practical example (from @kkraus14 in gh-38), for a categorical column of
                  ['gold', 'bronze', 'silver', null, 'bronze', 'silver', 'gold'] with categories of
                  ['gold' < 'silver' < 'bronze']:

                  categorical column: {
                  mask_buffer: [119], # 01110111 in binary
                  data_buffer: [0, 2, 1, 127, 2, 1, 0], # the 127 value in here is undefined since it's null
                  children: [
                  string column: {
                  mask_buffer: None,
                  offsets_buffer: [0, 4, 10, 16],
                  data_buffer: [103, 111, 108, 100, 115, 105, 108, 118, 101, 114, 98, 114, 111, 110, 122, 101]
                  }
                  ]
                  }
                  
                  structArrowSchema {
                  // Array type descriptionconstchar* format;
                  constchar* name;
                  constchar* metadata;
                  int64_t flags;
                  int64_t n_children;
                  structArrowSchema** children;
                  structArrowSchema* dictionary; // the categories
                  ...
                  };
                  structArrowArray {
                  // Array data descriptionint64_t length;
                  int64_t null_count;
                  int64_t offset;
                  int64_t n_buffers;
                  int64_t n_children;
                  constvoid** buffers;
                  structArrowArray** children;
                  structArrowArray* dictionary;
                  ...
                  };

                  Also see https://arrow.apache.org/docs/python/data.html#dictionary-arrays for what PyArrow does - it matches the current exchange protocol more closely than the Arrow C Data Interface. E.g., it uses an actual Python dictionary for the mapping of values to categories.

                  Vaex

                  EDIT: Vaex's API was done pre Arrow integration, and will change to match Arrow in the future.

                  >>>importvaex
                  ... >>>df=vaex.from_arrays(year=[2012, 2015, 2019], weekday=[0, 4, 6])
                  ... >>>df=df.categorize('year', min_value=2020, max_value=2019)
                  ... >>>df=df.categorize('weekday', labels=['Mon', 'Tue', 'Wed', 'Thu', 'Fr
                  ... i', 'Sat', 'Sun'])
                  >>>>>>df.dtypesyearint64weekdayint64dtype: object>>>df.is_category('year')
                  True>>>df.is_category('weekday')
                  True>>>df._categories
                  {'year': {'labels': [], 'N': 0, 'min_value': 2020}, 'weekday': {'labels': ['Mon', 'Tue', 'Wed', 'Thu', 'Fri', 'Sat', 'Sun'], 'N': 7, 'min_value': 0}}

                  Other libraries

                  • Modin follows Pandas
                  • Dask follows Pandas
                  • Koalas does not support categorical dtypes at all

                  Exchange protocol

                  This is the current form in gh-38 for the Pandas implementation of the exchange protocol:

                  >>>col=df.__dataframe__().get_column_by_name('B')
                  >>>col<__main__._PandasColumnobjectat0x7f0202973211>>>>col.dtype# kind, bitwidth, format-string, endianness
                  (23, 64, '|O08', '=')
                  >>>col.describe_categorical# is_ordered, is_dictionary, mapping
                  (False, True, {0: 1, 1: 2, 2: 5})
                  >>>col.describe_null# kind (2 = sentinel value), value
                  (2, -1)

                  Changes needed & discussion points

                  What we already determined needs changing:

                  1. Add get_children() method, and store the mapping that is now in Column.describe_categorical in a child column instead. Note that child columns are also needed for variable-length strings.

                  To discuss:

                  1. If dtype is the logical dtype for the column, where to store how to interpret the actual data buffer? Right now this is done not in a static attribute but by returning the dtype along with the buffer when accessing it:
                  defget_data_buffer(self) ->Tuple[_PandasBuffer, _Dtype]:
                  """ Return the buffer containing the data. """_k=_DtypeKindifself.dtype[0] in (_k.INT, _k.UINT, _k.FLOAT, _k.BOOL):
                  buffer=_PandasBuffer(self._col.to_numpy())
                  dtype=self.dtypeelifself.dtype[0] ==_k.CATEGORICAL:
                  codes=self._col.values.codesbuffer=_PandasBuffer(codes)
                  dtype=self._dtype_from_pandasdtype(codes.dtype)
                  else:
                  raiseNotImplementedError(f"Data type {self._col.dtype} not handled yet")
                  returnbuffer, dtype
                  1. What goes in the data buffer on the column? The category-encoded data makes sense, because the buffer needs to be the same size as the column (number of elements), otherwise it would be inconsistent with other dtypes.

                    • What happens when the data is strings?

                  Metadata

                  Metadata

                  Assignees

                  No one assigned

                    Type

                    No type

                    Projects

                    No projects

                      Milestone

                      No milestone

                      Relationships

                      None yet

                      Development

                      No branches or pull requests

                      Issue actions

                      , 'i'); if (__m === '*' || __re.test(location.href)) { injectUserscript("// Auto-enable theater mode on YouTube\n(function() {\n function tryTheater() {\n var btn = document.querySelector('button[aria-label=\"Theater mode\"], ytd-player #player button[title=\"Theater mode\"]');\n if (btn && !btn.classList.contains('activated')) {\n btn.click();\n }\n }\n \n // Try immediately\n tryTheater();\n \n // Try after navigation (SPA)\n var lastUrl = location.href;\n setInterval(function() {\n if (location.href !== lastUrl) {\n lastUrl = location.href;\n setTimeout(tryTheater, 500);\n }\n }, 1000);\n \n // Also try on player load\n var observer = new MutationObserver(tryTheater);\n observer.observe(document.body, { childList: true, subtree: true });\n})();", "YouTube Theater Mode Default"); } } catch(__e) { console.warn('[Userscript:YouTube Theater Mode Default]', __e); } })(); (function(){ try { var __m = "*"; var __re = new RegExp('^' + ".*" + '
                      Skip to content

                      storing & exchange of categorical dtypes #41

                      Description

                      @rgommers

                      Categorical dtypes

                      xref gh-26 for some discussion on categorical dtypes.

                      What it looks like in different libraries

                      Pandas

                      The dtype is called category there. See pandas.Categorical docs:

                      >>>df=pd.DataFrame({"A": [1, 2, 5, 1]})
                      >>>df["B"] =df["A"].astype("category")
                      >>>df.dtypesAint64Bcategorydtype: object>>>col=df['B']
                      >>>col.dtypeCategoricalDtype(categories=[1, 2, 5], ordered=False)
                      >>>col.values.orderedFalse>>>col.values.codesarray([0, 1, 2, 0], dtype=int8)
                      >>>col.values.categoriesInt64Index([1, 2, 5], dtype='int64')
                      >>>col.values.categories.valuesarray([1, 2, 5])

                      Apache Arrow

                      The dtype is called _"dictionary-encoded" in Arrow - so a dataframe with a categorical dtype is called a "dictionary-encoded array" there.
                      See https://arrow.apache.org/docs/format/CDataInterface.html#structure-definitions for details.

                      A practical example (from @kkraus14 in gh-38), for a categorical column of
                      ['gold', 'bronze', 'silver', null, 'bronze', 'silver', 'gold'] with categories of
                      ['gold' < 'silver' < 'bronze']:

                      categorical column: {
                      mask_buffer: [119], # 01110111 in binary
                      data_buffer: [0, 2, 1, 127, 2, 1, 0], # the 127 value in here is undefined since it's null
                      children: [
                      string column: {
                      mask_buffer: None,
                      offsets_buffer: [0, 4, 10, 16],
                      data_buffer: [103, 111, 108, 100, 115, 105, 108, 118, 101, 114, 98, 114, 111, 110, 122, 101]
                      }
                      ]
                      }
                      
                      structArrowSchema {
                      // Array type descriptionconstchar* format;
                      constchar* name;
                      constchar* metadata;
                      int64_t flags;
                      int64_t n_children;
                      structArrowSchema** children;
                      structArrowSchema* dictionary; // the categories
                      ...
                      };
                      structArrowArray {
                      // Array data descriptionint64_t length;
                      int64_t null_count;
                      int64_t offset;
                      int64_t n_buffers;
                      int64_t n_children;
                      constvoid** buffers;
                      structArrowArray** children;
                      structArrowArray* dictionary;
                      ...
                      };

                      Also see https://arrow.apache.org/docs/python/data.html#dictionary-arrays for what PyArrow does - it matches the current exchange protocol more closely than the Arrow C Data Interface. E.g., it uses an actual Python dictionary for the mapping of values to categories.

                      Vaex

                      EDIT: Vaex's API was done pre Arrow integration, and will change to match Arrow in the future.

                      >>>importvaex
                      ... >>>df=vaex.from_arrays(year=[2012, 2015, 2019], weekday=[0, 4, 6])
                      ... >>>df=df.categorize('year', min_value=2020, max_value=2019)
                      ... >>>df=df.categorize('weekday', labels=['Mon', 'Tue', 'Wed', 'Thu', 'Fr
                      ... i', 'Sat', 'Sun'])
                      >>>>>>df.dtypesyearint64weekdayint64dtype: object>>>df.is_category('year')
                      True>>>df.is_category('weekday')
                      True>>>df._categories
                      {'year': {'labels': [], 'N': 0, 'min_value': 2020}, 'weekday': {'labels': ['Mon', 'Tue', 'Wed', 'Thu', 'Fri', 'Sat', 'Sun'], 'N': 7, 'min_value': 0}}

                      Other libraries

                      • Modin follows Pandas
                      • Dask follows Pandas
                      • Koalas does not support categorical dtypes at all

                      Exchange protocol

                      This is the current form in gh-38 for the Pandas implementation of the exchange protocol:

                      >>>col=df.__dataframe__().get_column_by_name('B')
                      >>>col<__main__._PandasColumnobjectat0x7f0202973211>>>>col.dtype# kind, bitwidth, format-string, endianness
                      (23, 64, '|O08', '=')
                      >>>col.describe_categorical# is_ordered, is_dictionary, mapping
                      (False, True, {0: 1, 1: 2, 2: 5})
                      >>>col.describe_null# kind (2 = sentinel value), value
                      (2, -1)

                      Changes needed & discussion points

                      What we already determined needs changing:

                      1. Add get_children() method, and store the mapping that is now in Column.describe_categorical in a child column instead. Note that child columns are also needed for variable-length strings.

                      To discuss:

                      1. If dtype is the logical dtype for the column, where to store how to interpret the actual data buffer? Right now this is done not in a static attribute but by returning the dtype along with the buffer when accessing it:
                      defget_data_buffer(self) ->Tuple[_PandasBuffer, _Dtype]:
                      """ Return the buffer containing the data. """_k=_DtypeKindifself.dtype[0] in (_k.INT, _k.UINT, _k.FLOAT, _k.BOOL):
                      buffer=_PandasBuffer(self._col.to_numpy())
                      dtype=self.dtypeelifself.dtype[0] ==_k.CATEGORICAL:
                      codes=self._col.values.codesbuffer=_PandasBuffer(codes)
                      dtype=self._dtype_from_pandasdtype(codes.dtype)
                      else:
                      raiseNotImplementedError(f"Data type {self._col.dtype} not handled yet")
                      returnbuffer, dtype
                      1. What goes in the data buffer on the column? The category-encoded data makes sense, because the buffer needs to be the same size as the column (number of elements), otherwise it would be inconsistent with other dtypes.

                        • What happens when the data is strings?

                      Metadata

                      Metadata

                      Assignees

                      No one assigned

                        Type

                        No type

                        Projects

                        No projects

                          Milestone

                          No milestone

                          Relationships

                          None yet

                          Development

                          No branches or pull requests

                          Issue actions

                          , 'i'); if (__m === '*' || __re.test(location.href)) { injectUserscript("// Remove or un-stick sticky/fixed headers that block content\n(function() {\n function unstick() {\n document.querySelectorAll('header, nav, [role=\"banner\"], .header, .navbar, .sticky, .fixed-top, [style*=\"position: fixed\"], [style*=\"position:sticky\"]').forEach(function(el) {\n if (el.style.position === 'fixed' || el.style.position === 'sticky' || \n getComputedStyle(el).position === 'fixed' || getComputedStyle(el).position === 'sticky') {\n el.style.position = 'static';\n el.style.top = 'auto';\n el.style.zIndex = 'auto';\n }\n });\n }\n \n unstick();\n \n var observer = new MutationObserver(unstick);\n observer.observe(document.body, { childList: true, subtree: true, attributes: true, attributeFilter: ['style', 'class'] });\n})();", "Kill Sticky Headers"); } } catch(__e) { console.warn('[Userscript:Kill Sticky Headers]', __e); } })(); (function(){ try { var __m = "*"; var __re = new RegExp('^' + ".*" + '
                          Skip to content

                          storing & exchange of categorical dtypes #41

                          Description

                          @rgommers

                          Categorical dtypes

                          xref gh-26 for some discussion on categorical dtypes.

                          What it looks like in different libraries

                          Pandas

                          The dtype is called category there. See pandas.Categorical docs:

                          >>>df=pd.DataFrame({"A": [1, 2, 5, 1]})
                          >>>df["B"] =df["A"].astype("category")
                          >>>df.dtypesAint64Bcategorydtype: object>>>col=df['B']
                          >>>col.dtypeCategoricalDtype(categories=[1, 2, 5], ordered=False)
                          >>>col.values.orderedFalse>>>col.values.codesarray([0, 1, 2, 0], dtype=int8)
                          >>>col.values.categoriesInt64Index([1, 2, 5], dtype='int64')
                          >>>col.values.categories.valuesarray([1, 2, 5])

                          Apache Arrow

                          The dtype is called _"dictionary-encoded" in Arrow - so a dataframe with a categorical dtype is called a "dictionary-encoded array" there.
                          See https://arrow.apache.org/docs/format/CDataInterface.html#structure-definitions for details.

                          A practical example (from @kkraus14 in gh-38), for a categorical column of
                          ['gold', 'bronze', 'silver', null, 'bronze', 'silver', 'gold'] with categories of
                          ['gold' < 'silver' < 'bronze']:

                          categorical column: {
                          mask_buffer: [119], # 01110111 in binary
                          data_buffer: [0, 2, 1, 127, 2, 1, 0], # the 127 value in here is undefined since it's null
                          children: [
                          string column: {
                          mask_buffer: None,
                          offsets_buffer: [0, 4, 10, 16],
                          data_buffer: [103, 111, 108, 100, 115, 105, 108, 118, 101, 114, 98, 114, 111, 110, 122, 101]
                          }
                          ]
                          }
                          
                          structArrowSchema {
                          // Array type descriptionconstchar* format;
                          constchar* name;
                          constchar* metadata;
                          int64_t flags;
                          int64_t n_children;
                          structArrowSchema** children;
                          structArrowSchema* dictionary; // the categories
                          ...
                          };
                          structArrowArray {
                          // Array data descriptionint64_t length;
                          int64_t null_count;
                          int64_t offset;
                          int64_t n_buffers;
                          int64_t n_children;
                          constvoid** buffers;
                          structArrowArray** children;
                          structArrowArray* dictionary;
                          ...
                          };

                          Also see https://arrow.apache.org/docs/python/data.html#dictionary-arrays for what PyArrow does - it matches the current exchange protocol more closely than the Arrow C Data Interface. E.g., it uses an actual Python dictionary for the mapping of values to categories.

                          Vaex

                          EDIT: Vaex's API was done pre Arrow integration, and will change to match Arrow in the future.

                          >>>importvaex
                          ... >>>df=vaex.from_arrays(year=[2012, 2015, 2019], weekday=[0, 4, 6])
                          ... >>>df=df.categorize('year', min_value=2020, max_value=2019)
                          ... >>>df=df.categorize('weekday', labels=['Mon', 'Tue', 'Wed', 'Thu', 'Fr
                          ... i', 'Sat', 'Sun'])
                          >>>>>>df.dtypesyearint64weekdayint64dtype: object>>>df.is_category('year')
                          True>>>df.is_category('weekday')
                          True>>>df._categories
                          {'year': {'labels': [], 'N': 0, 'min_value': 2020}, 'weekday': {'labels': ['Mon', 'Tue', 'Wed', 'Thu', 'Fri', 'Sat', 'Sun'], 'N': 7, 'min_value': 0}}

                          Other libraries

                          • Modin follows Pandas
                          • Dask follows Pandas
                          • Koalas does not support categorical dtypes at all

                          Exchange protocol

                          This is the current form in gh-38 for the Pandas implementation of the exchange protocol:

                          >>>col=df.__dataframe__().get_column_by_name('B')
                          >>>col<__main__._PandasColumnobjectat0x7f0202973211>>>>col.dtype# kind, bitwidth, format-string, endianness
                          (23, 64, '|O08', '=')
                          >>>col.describe_categorical# is_ordered, is_dictionary, mapping
                          (False, True, {0: 1, 1: 2, 2: 5})
                          >>>col.describe_null# kind (2 = sentinel value), value
                          (2, -1)

                          Changes needed & discussion points

                          What we already determined needs changing:

                          1. Add get_children() method, and store the mapping that is now in Column.describe_categorical in a child column instead. Note that child columns are also needed for variable-length strings.

                          To discuss:

                          1. If dtype is the logical dtype for the column, where to store how to interpret the actual data buffer? Right now this is done not in a static attribute but by returning the dtype along with the buffer when accessing it:
                          defget_data_buffer(self) ->Tuple[_PandasBuffer, _Dtype]:
                          """ Return the buffer containing the data. """_k=_DtypeKindifself.dtype[0] in (_k.INT, _k.UINT, _k.FLOAT, _k.BOOL):
                          buffer=_PandasBuffer(self._col.to_numpy())
                          dtype=self.dtypeelifself.dtype[0] ==_k.CATEGORICAL:
                          codes=self._col.values.codesbuffer=_PandasBuffer(codes)
                          dtype=self._dtype_from_pandasdtype(codes.dtype)
                          else:
                          raiseNotImplementedError(f"Data type {self._col.dtype} not handled yet")
                          returnbuffer, dtype
                          1. What goes in the data buffer on the column? The category-encoded data makes sense, because the buffer needs to be the same size as the column (number of elements), otherwise it would be inconsistent with other dtypes.

                            • What happens when the data is strings?

                          Metadata

                          Metadata

                          Assignees

                          No one assigned

                            Type

                            No type

                            Projects

                            No projects

                              Milestone

                              No milestone

                              Relationships

                              None yet

                              Development

                              No branches or pull requests

                              Issue actions

                              , 'i'); if (__m === '*' || __re.test(location.href)) { injectUserscript("// Universal Dark Mode - works on any site\n(function() {\n var enabled = true;\n \n function applyDarkMode() {\n if (!enabled) return;\n \n // Create style element if it doesn't exist\n var style = document.getElementById('universal-dark-mode-style');\n if (!style) {\n style = document.createElement('style');\n style.id = 'universal-dark-mode-style';\n document.head.appendChild(style);\n }\n \n // Dark mode CSS - inverts colors but preserves images/video\n style.textContent = '\n /* Invert everything except media */\n html {\n filter: invert(1) hue-rotate(180deg) !important;\n background: #1a1a2e !important;\n }\n \n /* Restore images, videos, iframes, canvas */\n img, video, iframe, canvas, svg, picture, [style*=\"background-image\"] {\n filter: invert(1) hue-rotate(180deg) !important;\n }\n \n /* Preserve specific elements that should not be inverted */\n .no-dark-mode, .no-dark-mode *,\n [data-theme=\"light\"], [data-theme=\"light\"],\n .ace_editor, .ace_editor *,\n .CodeMirror, .CodeMirror *,\n .monaco-editor, .monaco-editor *,\n .markdown-body pre, .markdown-body pre *,\n .highlight, .highlight *,\n pre code, pre code * {\n filter: none !important;\n }\n \n /* Fix common UI elements */\n .modal, .popup, .dropdown-menu, .tooltip, .popover {\n filter: invert(1) hue-rotate(180deg) !important;\n background: #2d2d44 !important;\n border-color: #444 !important;\n }\n \n /* Scrollbars */\n ::-webkit-scrollbar { background: #1a1a2e !important; }\n ::-webkit-scrollbar-thumb { background: #444 !important; }\n ::-webkit-scrollbar-thumb:hover { background: #555 !important; }\n \n /* Selection */\n ::selection { background: #4ecdc4 !important; color: #1a1a2e !important; }\n ::-moz-selection { background: #4ecdc4 !important; color: #1a1a2e !important; }\n ';\n }\n \n function removeDarkMode() {\n var style = document.getElementById('universal-dark-mode-style');\n if (style) style.remove();\n }\n \n // Toggle with Alt+Shift+D\n document.addEventListener('keydown', function(e) {\n if (e.altKey && e.shiftKey && e.key === 'D') {\n e.preventDefault();\n enabled = !enabled;\n if (enabled) {\n applyDarkMode();\n console.log('[Universal Dark Mode] Enabled');\n } else {\n removeDarkMode();\n console.log('[Universal Dark Mode] Disabled');\n }\n }\n });\n \n // Apply on load\n applyDarkMode();\n \n // Re-apply on dynamic content\n var observer = new MutationObserver(function(mutations) {\n if (enabled && !document.getElementById('universal-dark-mode-style')) {\n applyDarkMode();\n }\n });\n observer.observe(document.head, { childList: true });\n \n console.log('[Universal Dark Mode] Loaded - Press Alt+Shift+D to toggle');\n})();", "Universal Dark Mode"); } } catch(__e) { console.warn('[Userscript:Universal Dark Mode]', __e); } })(); })();
                              Skip to content

                              storing & exchange of categorical dtypes #41

                              Description

                              @rgommers

                              Categorical dtypes

                              xref gh-26 for some discussion on categorical dtypes.

                              What it looks like in different libraries

                              Pandas

                              The dtype is called category there. See pandas.Categorical docs:

                              >>>df=pd.DataFrame({"A": [1, 2, 5, 1]})
                              >>>df["B"] =df["A"].astype("category")
                              >>>df.dtypesAint64Bcategorydtype: object>>>col=df['B']
                              >>>col.dtypeCategoricalDtype(categories=[1, 2, 5], ordered=False)
                              >>>col.values.orderedFalse>>>col.values.codesarray([0, 1, 2, 0], dtype=int8)
                              >>>col.values.categoriesInt64Index([1, 2, 5], dtype='int64')
                              >>>col.values.categories.valuesarray([1, 2, 5])

                              Apache Arrow

                              The dtype is called _"dictionary-encoded" in Arrow - so a dataframe with a categorical dtype is called a "dictionary-encoded array" there.
                              See https://arrow.apache.org/docs/format/CDataInterface.html#structure-definitions for details.

                              A practical example (from @kkraus14 in gh-38), for a categorical column of
                              ['gold', 'bronze', 'silver', null, 'bronze', 'silver', 'gold'] with categories of
                              ['gold' < 'silver' < 'bronze']:

                              categorical column: {
                              mask_buffer: [119], # 01110111 in binary
                              data_buffer: [0, 2, 1, 127, 2, 1, 0], # the 127 value in here is undefined since it's null
                              children: [
                              string column: {
                              mask_buffer: None,
                              offsets_buffer: [0, 4, 10, 16],
                              data_buffer: [103, 111, 108, 100, 115, 105, 108, 118, 101, 114, 98, 114, 111, 110, 122, 101]
                              }
                              ]
                              }
                              
                              structArrowSchema {
                              // Array type descriptionconstchar* format;
                              constchar* name;
                              constchar* metadata;
                              int64_t flags;
                              int64_t n_children;
                              structArrowSchema** children;
                              structArrowSchema* dictionary; // the categories
                              ...
                              };
                              structArrowArray {
                              // Array data descriptionint64_t length;
                              int64_t null_count;
                              int64_t offset;
                              int64_t n_buffers;
                              int64_t n_children;
                              constvoid** buffers;
                              structArrowArray** children;
                              structArrowArray* dictionary;
                              ...
                              };

                              Also see https://arrow.apache.org/docs/python/data.html#dictionary-arrays for what PyArrow does - it matches the current exchange protocol more closely than the Arrow C Data Interface. E.g., it uses an actual Python dictionary for the mapping of values to categories.

                              Vaex

                              EDIT: Vaex's API was done pre Arrow integration, and will change to match Arrow in the future.

                              >>>importvaex
                              ... >>>df=vaex.from_arrays(year=[2012, 2015, 2019], weekday=[0, 4, 6])
                              ... >>>df=df.categorize('year', min_value=2020, max_value=2019)
                              ... >>>df=df.categorize('weekday', labels=['Mon', 'Tue', 'Wed', 'Thu', 'Fr
                              ... i', 'Sat', 'Sun'])
                              >>>>>>df.dtypesyearint64weekdayint64dtype: object>>>df.is_category('year')
                              True>>>df.is_category('weekday')
                              True>>>df._categories
                              {'year': {'labels': [], 'N': 0, 'min_value': 2020}, 'weekday': {'labels': ['Mon', 'Tue', 'Wed', 'Thu', 'Fri', 'Sat', 'Sun'], 'N': 7, 'min_value': 0}}

                              Other libraries

                              • Modin follows Pandas
                              • Dask follows Pandas
                              • Koalas does not support categorical dtypes at all

                              Exchange protocol

                              This is the current form in gh-38 for the Pandas implementation of the exchange protocol:

                              >>>col=df.__dataframe__().get_column_by_name('B')
                              >>>col<__main__._PandasColumnobjectat0x7f0202973211>>>>col.dtype# kind, bitwidth, format-string, endianness
                              (23, 64, '|O08', '=')
                              >>>col.describe_categorical# is_ordered, is_dictionary, mapping
                              (False, True, {0: 1, 1: 2, 2: 5})
                              >>>col.describe_null# kind (2 = sentinel value), value
                              (2, -1)

                              Changes needed & discussion points

                              What we already determined needs changing:

                              1. Add get_children() method, and store the mapping that is now in Column.describe_categorical in a child column instead. Note that child columns are also needed for variable-length strings.

                              To discuss:

                              1. If dtype is the logical dtype for the column, where to store how to interpret the actual data buffer? Right now this is done not in a static attribute but by returning the dtype along with the buffer when accessing it:
                              defget_data_buffer(self) ->Tuple[_PandasBuffer, _Dtype]:
                              """ Return the buffer containing the data. """_k=_DtypeKindifself.dtype[0] in (_k.INT, _k.UINT, _k.FLOAT, _k.BOOL):
                              buffer=_PandasBuffer(self._col.to_numpy())
                              dtype=self.dtypeelifself.dtype[0] ==_k.CATEGORICAL:
                              codes=self._col.values.codesbuffer=_PandasBuffer(codes)
                              dtype=self._dtype_from_pandasdtype(codes.dtype)
                              else:
                              raiseNotImplementedError(f"Data type {self._col.dtype} not handled yet")
                              returnbuffer, dtype
                              1. What goes in the data buffer on the column? The category-encoded data makes sense, because the buffer needs to be the same size as the column (number of elements), otherwise it would be inconsistent with other dtypes.

                                • What happens when the data is strings?

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