--- /dev/null
+/** @file
+ * Defines Longest Common Subsequence distance functions.
+ *
+ * @copyright 2016 Kevin Locke <kevin@kevinlocke.name>
+ * MIT license - see LICENSE file for details
+ */
+#include <stdlib.h> /* free, malloc */
+
+#include "edit_distance.h"
+#include "edit_distance-params.h"
+#include "edit_distance-private.h"
+
+ed_dist edit_distance_lcs(const ed_elem *src, ed_size slen,
+ const ed_elem *tgt, ed_size tlen)
+{
+ /* Optimization: Avoid malloc when row of distance matrix can fit on
+ * the stack.
+ */
+ ed_dist stackdist[ED_STACK_ELEMS];
+
+ /* One row of the Wagner-Fischer distance matrix. */
+ ed_dist *dist = slen < ED_STACK_ELEMS ? stackdist :
+ malloc((slen + 1) * sizeof(ed_dist));
+
+ /* Initialize row with cost to delete src[0..i-1] */
+ dist[0] = 0;
+ for (ed_size i = 1; i <= slen; ++i) {
+ dist[i] = dist[i - 1] + ED_DEL_COST(src[i - 1]);
+ }
+
+ for (ed_size j = 1; j <= tlen; ++j) {
+ /* Value for dist[j-1][i-1] (one row up, one col left). */
+ ed_dist diagdist = dist[0];
+ dist[0] = dist[0] + ED_INS_COST(tgt[j - 1]);
+
+ /* Loop invariant: dist[i] is the edit distance between first j
+ * elements of tgt and first i elements of src.
+ */
+ for (ed_size i = 1; i <= slen; ++i) {
+ ed_dist nextdiagdist = dist[i];
+
+ if (ED_ELEM_EQUAL(src[i - 1], tgt[j - 1])) {
+ /* Same as tgt upto j-2, src upto i-2. */
+ dist[i] = diagdist;
+ } else {
+ /* Insertion is tgt upto j-2, src upto i-1
+ * + insert tgt[j-1] */
+ ed_dist insdist =
+ dist[i] + ED_INS_COST(tgt[j - 1]);
+
+ /* Deletion is tgt upto j-1, src upto i-2
+ * + delete src[i-1] */
+ ed_dist deldist =
+ dist[i - 1] + ED_DEL_COST(src[i - 1]);
+
+ /* Use best distance available */
+ dist[i] = ED_MIN2(insdist, deldist);
+ }
+
+ diagdist = nextdiagdist;
+ }
+ }
+
+ ed_dist total = dist[slen];
+ if (dist != stackdist) {
+ free(dist);
+ }
+ return total;
+}