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authorDaniel Baumann <daniel.baumann@progress-linux.org>2024-05-04 12:15:05 +0000
committerDaniel Baumann <daniel.baumann@progress-linux.org>2024-05-04 12:15:05 +0000
commit46651ce6fe013220ed397add242004d764fc0153 (patch)
tree6e5299f990f88e60174a1d3ae6e48eedd2688b2b /src/backend/utils/adt/levenshtein.c
parentInitial commit. (diff)
downloadpostgresql-14-upstream.tar.xz
postgresql-14-upstream.zip
Adding upstream version 14.5.upstream/14.5upstream
Signed-off-by: Daniel Baumann <daniel.baumann@progress-linux.org>
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+/*-------------------------------------------------------------------------
+ *
+ * levenshtein.c
+ * Levenshtein distance implementation.
+ *
+ * Original author: Joe Conway <mail@joeconway.com>
+ *
+ * This file is included by varlena.c twice, to provide matching code for (1)
+ * Levenshtein distance with custom costings, and (2) Levenshtein distance with
+ * custom costings and a "max" value above which exact distances are not
+ * interesting. Before the inclusion, we rely on the presence of the inline
+ * function rest_of_char_same().
+ *
+ * Written based on a description of the algorithm by Michael Gilleland found
+ * at http://www.merriampark.com/ld.htm. Also looked at levenshtein.c in the
+ * PHP 4.0.6 distribution for inspiration. Configurable penalty costs
+ * extension is introduced by Volkan YAZICI <volkan.yazici@gmail.com.
+ *
+ * Copyright (c) 2001-2021, PostgreSQL Global Development Group
+ *
+ * IDENTIFICATION
+ * src/backend/utils/adt/levenshtein.c
+ *
+ *-------------------------------------------------------------------------
+ */
+#define MAX_LEVENSHTEIN_STRLEN 255
+
+/*
+ * Calculates Levenshtein distance metric between supplied strings, which are
+ * not necessarily null-terminated.
+ *
+ * source: source string, of length slen bytes.
+ * target: target string, of length tlen bytes.
+ * ins_c, del_c, sub_c: costs to charge for character insertion, deletion,
+ * and substitution respectively; (1, 1, 1) costs suffice for common
+ * cases, but your mileage may vary.
+ * max_d: if provided and >= 0, maximum distance we care about; see below.
+ * trusted: caller is trusted and need not obey MAX_LEVENSHTEIN_STRLEN.
+ *
+ * One way to compute Levenshtein distance is to incrementally construct
+ * an (m+1)x(n+1) matrix where cell (i, j) represents the minimum number
+ * of operations required to transform the first i characters of s into
+ * the first j characters of t. The last column of the final row is the
+ * answer.
+ *
+ * We use that algorithm here with some modification. In lieu of holding
+ * the entire array in memory at once, we'll just use two arrays of size
+ * m+1 for storing accumulated values. At each step one array represents
+ * the "previous" row and one is the "current" row of the notional large
+ * array.
+ *
+ * If max_d >= 0, we only need to provide an accurate answer when that answer
+ * is less than or equal to max_d. From any cell in the matrix, there is
+ * theoretical "minimum residual distance" from that cell to the last column
+ * of the final row. This minimum residual distance is zero when the
+ * untransformed portions of the strings are of equal length (because we might
+ * get lucky and find all the remaining characters matching) and is otherwise
+ * based on the minimum number of insertions or deletions needed to make them
+ * equal length. The residual distance grows as we move toward the upper
+ * right or lower left corners of the matrix. When the max_d bound is
+ * usefully tight, we can use this property to avoid computing the entirety
+ * of each row; instead, we maintain a start_column and stop_column that
+ * identify the portion of the matrix close to the diagonal which can still
+ * affect the final answer.
+ */
+int
+#ifdef LEVENSHTEIN_LESS_EQUAL
+varstr_levenshtein_less_equal(const char *source, int slen,
+ const char *target, int tlen,
+ int ins_c, int del_c, int sub_c,
+ int max_d, bool trusted)
+#else
+varstr_levenshtein(const char *source, int slen,
+ const char *target, int tlen,
+ int ins_c, int del_c, int sub_c,
+ bool trusted)
+#endif
+{
+ int m,
+ n;
+ int *prev;
+ int *curr;
+ int *s_char_len = NULL;
+ int i,
+ j;
+ const char *y;
+
+ /*
+ * For varstr_levenshtein_less_equal, we have real variables called
+ * start_column and stop_column; otherwise it's just short-hand for 0 and
+ * m.
+ */
+#ifdef LEVENSHTEIN_LESS_EQUAL
+ int start_column,
+ stop_column;
+
+#undef START_COLUMN
+#undef STOP_COLUMN
+#define START_COLUMN start_column
+#define STOP_COLUMN stop_column
+#else
+#undef START_COLUMN
+#undef STOP_COLUMN
+#define START_COLUMN 0
+#define STOP_COLUMN m
+#endif
+
+ /* Convert string lengths (in bytes) to lengths in characters */
+ m = pg_mbstrlen_with_len(source, slen);
+ n = pg_mbstrlen_with_len(target, tlen);
+
+ /*
+ * We can transform an empty s into t with n insertions, or a non-empty t
+ * into an empty s with m deletions.
+ */
+ if (!m)
+ return n * ins_c;
+ if (!n)
+ return m * del_c;
+
+ /*
+ * For security concerns, restrict excessive CPU+RAM usage. (This
+ * implementation uses O(m) memory and has O(mn) complexity.) If
+ * "trusted" is true, caller is responsible for not making excessive
+ * requests, typically by using a small max_d along with strings that are
+ * bounded, though not necessarily to MAX_LEVENSHTEIN_STRLEN exactly.
+ */
+ if (!trusted &&
+ (m > MAX_LEVENSHTEIN_STRLEN ||
+ n > MAX_LEVENSHTEIN_STRLEN))
+ ereport(ERROR,
+ (errcode(ERRCODE_INVALID_PARAMETER_VALUE),
+ errmsg("levenshtein argument exceeds maximum length of %d characters",
+ MAX_LEVENSHTEIN_STRLEN)));
+
+#ifdef LEVENSHTEIN_LESS_EQUAL
+ /* Initialize start and stop columns. */
+ start_column = 0;
+ stop_column = m + 1;
+
+ /*
+ * If max_d >= 0, determine whether the bound is impossibly tight. If so,
+ * return max_d + 1 immediately. Otherwise, determine whether it's tight
+ * enough to limit the computation we must perform. If so, figure out
+ * initial stop column.
+ */
+ if (max_d >= 0)
+ {
+ int min_theo_d; /* Theoretical minimum distance. */
+ int max_theo_d; /* Theoretical maximum distance. */
+ int net_inserts = n - m;
+
+ min_theo_d = net_inserts < 0 ?
+ -net_inserts * del_c : net_inserts * ins_c;
+ if (min_theo_d > max_d)
+ return max_d + 1;
+ if (ins_c + del_c < sub_c)
+ sub_c = ins_c + del_c;
+ max_theo_d = min_theo_d + sub_c * Min(m, n);
+ if (max_d >= max_theo_d)
+ max_d = -1;
+ else if (ins_c + del_c > 0)
+ {
+ /*
+ * Figure out how much of the first row of the notional matrix we
+ * need to fill in. If the string is growing, the theoretical
+ * minimum distance already incorporates the cost of deleting the
+ * number of characters necessary to make the two strings equal in
+ * length. Each additional deletion forces another insertion, so
+ * the best-case total cost increases by ins_c + del_c. If the
+ * string is shrinking, the minimum theoretical cost assumes no
+ * excess deletions; that is, we're starting no further right than
+ * column n - m. If we do start further right, the best-case
+ * total cost increases by ins_c + del_c for each move right.
+ */
+ int slack_d = max_d - min_theo_d;
+ int best_column = net_inserts < 0 ? -net_inserts : 0;
+
+ stop_column = best_column + (slack_d / (ins_c + del_c)) + 1;
+ if (stop_column > m)
+ stop_column = m + 1;
+ }
+ }
+#endif
+
+ /*
+ * In order to avoid calling pg_mblen() repeatedly on each character in s,
+ * we cache all the lengths before starting the main loop -- but if all
+ * the characters in both strings are single byte, then we skip this and
+ * use a fast-path in the main loop. If only one string contains
+ * multi-byte characters, we still build the array, so that the fast-path
+ * needn't deal with the case where the array hasn't been initialized.
+ */
+ if (m != slen || n != tlen)
+ {
+ int i;
+ const char *cp = source;
+
+ s_char_len = (int *) palloc((m + 1) * sizeof(int));
+ for (i = 0; i < m; ++i)
+ {
+ s_char_len[i] = pg_mblen(cp);
+ cp += s_char_len[i];
+ }
+ s_char_len[i] = 0;
+ }
+
+ /* One more cell for initialization column and row. */
+ ++m;
+ ++n;
+
+ /* Previous and current rows of notional array. */
+ prev = (int *) palloc(2 * m * sizeof(int));
+ curr = prev + m;
+
+ /*
+ * To transform the first i characters of s into the first 0 characters of
+ * t, we must perform i deletions.
+ */
+ for (i = START_COLUMN; i < STOP_COLUMN; i++)
+ prev[i] = i * del_c;
+
+ /* Loop through rows of the notional array */
+ for (y = target, j = 1; j < n; j++)
+ {
+ int *temp;
+ const char *x = source;
+ int y_char_len = n != tlen + 1 ? pg_mblen(y) : 1;
+
+#ifdef LEVENSHTEIN_LESS_EQUAL
+
+ /*
+ * In the best case, values percolate down the diagonal unchanged, so
+ * we must increment stop_column unless it's already on the right end
+ * of the array. The inner loop will read prev[stop_column], so we
+ * have to initialize it even though it shouldn't affect the result.
+ */
+ if (stop_column < m)
+ {
+ prev[stop_column] = max_d + 1;
+ ++stop_column;
+ }
+
+ /*
+ * The main loop fills in curr, but curr[0] needs a special case: to
+ * transform the first 0 characters of s into the first j characters
+ * of t, we must perform j insertions. However, if start_column > 0,
+ * this special case does not apply.
+ */
+ if (start_column == 0)
+ {
+ curr[0] = j * ins_c;
+ i = 1;
+ }
+ else
+ i = start_column;
+#else
+ curr[0] = j * ins_c;
+ i = 1;
+#endif
+
+ /*
+ * This inner loop is critical to performance, so we include a
+ * fast-path to handle the (fairly common) case where no multibyte
+ * characters are in the mix. The fast-path is entitled to assume
+ * that if s_char_len is not initialized then BOTH strings contain
+ * only single-byte characters.
+ */
+ if (s_char_len != NULL)
+ {
+ for (; i < STOP_COLUMN; i++)
+ {
+ int ins;
+ int del;
+ int sub;
+ int x_char_len = s_char_len[i - 1];
+
+ /*
+ * Calculate costs for insertion, deletion, and substitution.
+ *
+ * When calculating cost for substitution, we compare the last
+ * character of each possibly-multibyte character first,
+ * because that's enough to rule out most mis-matches. If we
+ * get past that test, then we compare the lengths and the
+ * remaining bytes.
+ */
+ ins = prev[i] + ins_c;
+ del = curr[i - 1] + del_c;
+ if (x[x_char_len - 1] == y[y_char_len - 1]
+ && x_char_len == y_char_len &&
+ (x_char_len == 1 || rest_of_char_same(x, y, x_char_len)))
+ sub = prev[i - 1];
+ else
+ sub = prev[i - 1] + sub_c;
+
+ /* Take the one with minimum cost. */
+ curr[i] = Min(ins, del);
+ curr[i] = Min(curr[i], sub);
+
+ /* Point to next character. */
+ x += x_char_len;
+ }
+ }
+ else
+ {
+ for (; i < STOP_COLUMN; i++)
+ {
+ int ins;
+ int del;
+ int sub;
+
+ /* Calculate costs for insertion, deletion, and substitution. */
+ ins = prev[i] + ins_c;
+ del = curr[i - 1] + del_c;
+ sub = prev[i - 1] + ((*x == *y) ? 0 : sub_c);
+
+ /* Take the one with minimum cost. */
+ curr[i] = Min(ins, del);
+ curr[i] = Min(curr[i], sub);
+
+ /* Point to next character. */
+ x++;
+ }
+ }
+
+ /* Swap current row with previous row. */
+ temp = curr;
+ curr = prev;
+ prev = temp;
+
+ /* Point to next character. */
+ y += y_char_len;
+
+#ifdef LEVENSHTEIN_LESS_EQUAL
+
+ /*
+ * This chunk of code represents a significant performance hit if used
+ * in the case where there is no max_d bound. This is probably not
+ * because the max_d >= 0 test itself is expensive, but rather because
+ * the possibility of needing to execute this code prevents tight
+ * optimization of the loop as a whole.
+ */
+ if (max_d >= 0)
+ {
+ /*
+ * The "zero point" is the column of the current row where the
+ * remaining portions of the strings are of equal length. There
+ * are (n - 1) characters in the target string, of which j have
+ * been transformed. There are (m - 1) characters in the source
+ * string, so we want to find the value for zp where (n - 1) - j =
+ * (m - 1) - zp.
+ */
+ int zp = j - (n - m);
+
+ /* Check whether the stop column can slide left. */
+ while (stop_column > 0)
+ {
+ int ii = stop_column - 1;
+ int net_inserts = ii - zp;
+
+ if (prev[ii] + (net_inserts > 0 ? net_inserts * ins_c :
+ -net_inserts * del_c) <= max_d)
+ break;
+ stop_column--;
+ }
+
+ /* Check whether the start column can slide right. */
+ while (start_column < stop_column)
+ {
+ int net_inserts = start_column - zp;
+
+ if (prev[start_column] +
+ (net_inserts > 0 ? net_inserts * ins_c :
+ -net_inserts * del_c) <= max_d)
+ break;
+
+ /*
+ * We'll never again update these values, so we must make sure
+ * there's nothing here that could confuse any future
+ * iteration of the outer loop.
+ */
+ prev[start_column] = max_d + 1;
+ curr[start_column] = max_d + 1;
+ if (start_column != 0)
+ source += (s_char_len != NULL) ? s_char_len[start_column - 1] : 1;
+ start_column++;
+ }
+
+ /* If they cross, we're going to exceed the bound. */
+ if (start_column >= stop_column)
+ return max_d + 1;
+ }
+#endif
+ }
+
+ /*
+ * Because the final value was swapped from the previous row to the
+ * current row, that's where we'll find it.
+ */
+ return prev[m - 1];
+}