PostgreSQL 9.1.24 Documentation
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# 53.3. Implementation

There are seven methods that an index operator class for GiST must provide, and an eighth that is optional. Correctness of the index is ensured by proper implementation of the `same`, `consistent` and `union` methods, while efficiency (size and speed) of the index will depend on the `penalty` and `picksplit` methods. The remaining two basic methods are `compress` and `decompress`, which allow an index to have internal tree data of a different type than the data it indexes. The leaves are to be of the indexed data type, while the other tree nodes can be of any C struct (but you still have to follow PostgreSQL data type rules here, see about `varlena` for variable sized data). If the tree's internal data type exists at the SQL level, the `STORAGE` option of the `CREATE OPERATOR CLASS` command can be used. The optional eighth method is `distance`, which is needed if the operator class wishes to support ordered scans (nearest-neighbor searches).

`consistent`

  Given an index entry `p` and a query value `q`, this function determines whether the index entry is "consistent" with the query; that is, could the predicate "`indexed_column` `indexable_operator` `q`" be true for any row represented by the index entry? For a leaf index entry this is equivalent to testing the indexable condition, while for an internal tree node this determines whether it is necessary to scan the subtree of the index represented by the tree node. When the result is `true`, a `recheck` flag must also be returned. This indicates whether the predicate is certainly true or only possibly true. If `recheck` = `false` then the index has tested the predicate condition exactly, whereas if `recheck` = `true` the row is only a candidate match. In that case the system will automatically evaluate the `indexable_operator` against the actual row value to see if it is really a match. This convention allows GiST to support both lossless and lossy index structures.

  The SQL declaration of the function must look like this:

      CREATE OR REPLACE FUNCTION my_consistent(internal, data_type, smallint, oid, internal)
      RETURNS bool
      AS 'MODULE_PATHNAME'
      LANGUAGE C STRICT;

  And the matching code in the C module could then follow this skeleton:

      Datum       my_consistent(PG_FUNCTION_ARGS);
      PG_FUNCTION_INFO_V1(my_consistent);

      Datum
      my_consistent(PG_FUNCTION_ARGS)
      {
          GISTENTRY  *entry = (GISTENTRY *) PG_GETARG_POINTER(0);
          data_type  *query = PG_GETARG_DATA_TYPE_P(1);
          StrategyNumber strategy = (StrategyNumber) PG_GETARG_UINT16(2);
          /* Oid subtype = PG_GETARG_OID(3); */
          bool       *recheck = (bool *) PG_GETARG_POINTER(4);
          data_type  *key = DatumGetDataType(entry->key);
          bool        retval;

          /*
           * determine return value as a function of strategy, key and query.
           *
           * Use GIST_LEAF(entry) to know where you're called in the index tree,
           * which comes handy when supporting the = operator for example (you could
           * check for non empty union() in non-leaf nodes and equality in leaf
           * nodes).
           */

          *recheck = true;        /* or false if check is exact */

          PG_RETURN_BOOL(retval);
      }

  Here, `key` is an element in the index and `query` the value being looked up in the index. The `StrategyNumber` parameter indicates which operator of your operator class is being applied — it matches one of the operator numbers in the `CREATE OPERATOR CLASS` command. Depending on what operators you have included in the class, the data type of `query` could vary with the operator, but the above skeleton assumes it doesn't.

`union`

  This method consolidates information in the tree. Given a set of entries, this function generates a new index entry that represents all the given entries.

  The SQL declaration of the function must look like this:

      CREATE OR REPLACE FUNCTION my_union(internal, internal)
      RETURNS internal
      AS 'MODULE_PATHNAME'
      LANGUAGE C STRICT;

  And the matching code in the C module could then follow this skeleton:

      Datum       my_union(PG_FUNCTION_ARGS);
      PG_FUNCTION_INFO_V1(my_union);

      Datum
      my_union(PG_FUNCTION_ARGS)
      {
          GistEntryVector *entryvec = (GistEntryVector *) PG_GETARG_POINTER(0);
          GISTENTRY  *ent = entryvec->vector;
          data_type  *out,
                     *tmp,
                     *old;
          int         numranges,
                      i = 0;

          numranges = entryvec->n;
          tmp = DatumGetDataType(ent[0].key);
          out = tmp;

          if (numranges == 1)
          {
              out = data_type_deep_copy(tmp);

              PG_RETURN_DATA_TYPE_P(out);
          }

          for (i = 1; i < numranges; i++)
          {
              old = out;
              tmp = DatumGetDataType(ent[i].key);
              out = my_union_implementation(out, tmp);
          }

          PG_RETURN_DATA_TYPE_P(out);
      }

  As you can see, in this skeleton we're dealing with a data type where `union(X, Y, Z) = union(union(X, Y), Z)`. It's easy enough to support data types where this is not the case, by implementing the proper union algorithm in this GiST support method.

  The `union` implementation function should return a pointer to newly `palloc()`ed memory. You can't just return whatever the input is.

`compress`

  Converts the data item into a format suitable for physical storage in an index page.

  The SQL declaration of the function must look like this:

      CREATE OR REPLACE FUNCTION my_compress(internal)
      RETURNS internal
      AS 'MODULE_PATHNAME'
      LANGUAGE C STRICT;

  And the matching code in the C module could then follow this skeleton:

      Datum       my_compress(PG_FUNCTION_ARGS);
      PG_FUNCTION_INFO_V1(my_compress);

      Datum
      my_compress(PG_FUNCTION_ARGS)
      {
          GISTENTRY  *entry = (GISTENTRY *) PG_GETARG_POINTER(0);
          GISTENTRY  *retval;

          if (entry->leafkey)
          {
              /* replace entry->key with a compressed version */
              compressed_data_type *compressed_data = palloc(sizeof(compressed_data_type));

              /* fill *compressed_data from entry->key ... */

              retval = palloc(sizeof(GISTENTRY));
              gistentryinit(*retval, PointerGetDatum(compressed_data),
                            entry->rel, entry->page, entry->offset, FALSE);
          }
          else
          {
              /* typically we needn't do anything with non-leaf entries */
              retval = entry;
          }

          PG_RETURN_POINTER(retval);
      }

  You have to adapt `compressed_data_type` to the specific type you're converting to in order to compress your leaf nodes, of course.

  Depending on your needs, you could also need to care about compressing `NULL` values in there, storing for example `(Datum) 0` like `gist_circle_compress` does.

`decompress`

  The reverse of the `compress` method. Converts the index representation of the data item into a format that can be manipulated by the database.

  The SQL declaration of the function must look like this:

      CREATE OR REPLACE FUNCTION my_decompress(internal)
      RETURNS internal
      AS 'MODULE_PATHNAME'
      LANGUAGE C STRICT;

  And the matching code in the C module could then follow this skeleton:

      Datum       my_decompress(PG_FUNCTION_ARGS);
      PG_FUNCTION_INFO_V1(my_decompress);

      Datum
      my_decompress(PG_FUNCTION_ARGS)
      {
          PG_RETURN_POINTER(PG_GETARG_POINTER(0));
      }

  The above skeleton is suitable for the case where no decompression is needed.

`penalty`

  Returns a value indicating the "cost" of inserting the new entry into a particular branch of the tree. Items will be inserted down the path of least `penalty` in the tree. Values returned by `penalty` should be non-negative. If a negative value is returned, it will be treated as zero.

  The SQL declaration of the function must look like this:

      CREATE OR REPLACE FUNCTION my_penalty(internal, internal, internal)
      RETURNS internal
      AS 'MODULE_PATHNAME'
      LANGUAGE C STRICT;  -- in some cases penalty functions need not be strict

  And the matching code in the C module could then follow this skeleton:

      Datum       my_penalty(PG_FUNCTION_ARGS);
      PG_FUNCTION_INFO_V1(my_penalty);

      Datum
      my_penalty(PG_FUNCTION_ARGS)
      {
          GISTENTRY  *origentry = (GISTENTRY *) PG_GETARG_POINTER(0);
          GISTENTRY  *newentry = (GISTENTRY *) PG_GETARG_POINTER(1);
          float      *penalty = (float *) PG_GETARG_POINTER(2);
          data_type  *orig = DatumGetDataType(origentry->key);
          data_type  *new = DatumGetDataType(newentry->key);

          *penalty = my_penalty_implementation(orig, new);
          PG_RETURN_POINTER(penalty);
      }

  The `penalty` function is crucial to good performance of the index. It'll get used at insertion time to determine which branch to follow when choosing where to add the new entry in the tree. At query time, the more balanced the index, the quicker the lookup.

`picksplit`

  When an index page split is necessary, this function decides which entries on the page are to stay on the old page, and which are to move to the new page.

  The SQL declaration of the function must look like this:

      CREATE OR REPLACE FUNCTION my_picksplit(internal, internal)
      RETURNS internal
      AS 'MODULE_PATHNAME'
      LANGUAGE C STRICT;

  And the matching code in the C module could then follow this skeleton:

      Datum       my_picksplit(PG_FUNCTION_ARGS);
      PG_FUNCTION_INFO_V1(my_picksplit);

      Datum
      my_picksplit(PG_FUNCTION_ARGS)
      {
          GistEntryVector *entryvec = (GistEntryVector *) PG_GETARG_POINTER(0);
          OffsetNumber maxoff = entryvec->n - 1;
          GISTENTRY  *ent = entryvec->vector;
          GIST_SPLITVEC *v = (GIST_SPLITVEC *) PG_GETARG_POINTER(1);
          int         i,
                      nbytes;
          OffsetNumber *left,
                     *right;
          data_type  *tmp_union;
          data_type  *unionL;
          data_type  *unionR;
          GISTENTRY **raw_entryvec;

          maxoff = entryvec->n - 1;
          nbytes = (maxoff + 1) * sizeof(OffsetNumber);

          v->spl_left = (OffsetNumber *) palloc(nbytes);
          left = v->spl_left;
          v->spl_nleft = 0;

          v->spl_right = (OffsetNumber *) palloc(nbytes);
          right = v->spl_right;
          v->spl_nright = 0;

          unionL = NULL;
          unionR = NULL;

          /* Initialize the raw entry vector. */
          raw_entryvec = (GISTENTRY **) malloc(entryvec->n * sizeof(void *));
          for (i = FirstOffsetNumber; i <= maxoff; i = OffsetNumberNext(i))
              raw_entryvec[i] = &(entryvec->vector[i]);

          for (i = FirstOffsetNumber; i <= maxoff; i = OffsetNumberNext(i))
          {
              int         real_index = raw_entryvec[i] - entryvec->vector;

              tmp_union = DatumGetDataType(entryvec->vector[real_index].key);
              Assert(tmp_union != NULL);

              /*
               * Choose where to put the index entries and update unionL and unionR
               * accordingly. Append the entries to either v_spl_left or
               * v_spl_right, and care about the counters.
               */

              if (my_choice_is_left(unionL, curl, unionR, curr))
              {
                  if (unionL == NULL)
                      unionL = tmp_union;
                  else
                      unionL = my_union_implementation(unionL, tmp_union);

                  *left = real_index;
                  ++left;
                  ++(v->spl_nleft);
              }
              else
              {
                  /*
                   * Same on the right
                   */
              }
          }

          v->spl_ldatum = DataTypeGetDatum(unionL);
          v->spl_rdatum = DataTypeGetDatum(unionR);
          PG_RETURN_POINTER(v);
      }

  Like `penalty`, the `picksplit` function is crucial to good performance of the index. Designing suitable `penalty` and `picksplit` implementations is where the challenge of implementing well-performing GiST indexes lies.

`same`

  Returns true if two index entries are identical, false otherwise.

  The SQL declaration of the function must look like this:

      CREATE OR REPLACE FUNCTION my_same(internal, internal, internal)
      RETURNS internal
      AS 'MODULE_PATHNAME'
      LANGUAGE C STRICT;

  And the matching code in the C module could then follow this skeleton:

      Datum       my_same(PG_FUNCTION_ARGS);
      PG_FUNCTION_INFO_V1(my_same);

      Datum
      my_same(PG_FUNCTION_ARGS)
      {
          prefix_range *v1 = PG_GETARG_PREFIX_RANGE_P(0);
          prefix_range *v2 = PG_GETARG_PREFIX_RANGE_P(1);
          bool       *result = (bool *) PG_GETARG_POINTER(2);

          *result = my_eq(v1, v2);
          PG_RETURN_POINTER(result);
      }

  For historical reasons, the `same` function doesn't just return a Boolean result; instead it has to store the flag at the location indicated by the third argument.

`distance`

  Given an index entry `p` and a query value `q`, this function determines the index entry's "distance" from the query value. This function must be supplied if the operator class contains any ordering operators. A query using the ordering operator will be implemented by returning index entries with the smallest "distance" values first, so the results must be consistent with the operator's semantics. For a leaf index entry the result just represents the distance to the index entry; for an internal tree node, the result must be the smallest distance that any child entry could have.

  The SQL declaration of the function must look like this:

      CREATE OR REPLACE FUNCTION my_distance(internal, data_type, smallint, oid)
      RETURNS float8
      AS 'MODULE_PATHNAME'
      LANGUAGE C STRICT;

  And the matching code in the C module could then follow this skeleton:

      Datum       my_distance(PG_FUNCTION_ARGS);
      PG_FUNCTION_INFO_V1(my_distance);

      Datum
      my_distance(PG_FUNCTION_ARGS)
      {
          GISTENTRY  *entry = (GISTENTRY *) PG_GETARG_POINTER(0);
          data_type  *query = PG_GETARG_DATA_TYPE_P(1);
          StrategyNumber strategy = (StrategyNumber) PG_GETARG_UINT16(2);
          /* Oid subtype = PG_GETARG_OID(3); */
          data_type  *key = DatumGetDataType(entry->key);
          double      retval;

          /*
           * determine return value as a function of strategy, key and query.
           */

          PG_RETURN_FLOAT8(retval);
      }

  The arguments to the `distance` function are identical to the arguments of the `consistent` function, except that no recheck flag is used. The distance to a leaf index entry must always be determined exactly, since there is no way to re-order the tuples once they are returned. Some approximation is allowed when determining the distance to an internal tree node, so long as the result is never greater than any child's actual distance. Thus, for example, distance to a bounding box is usually sufficient in geometric applications. The result value can be any finite `float8` value. (Infinity and minus infinity are used internally to handle cases such as nulls, so it is not recommended that `distance` functions return these values.)

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