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This range over L represents every character of T that has a suffix beginning with a. The next character to look for is r. The new range is [C[r] + Occ(r, start-1) + 1 .. C[r] + Occ(r, end)] = [10 + 0 + 1 .. 10 + 2] = [11..12], if start is the index of the beginning of the range and end is the end. This range over L is all the characters of T ...
Number of UTF-16 code units: Java (string-length string) Scheme (length string) Common Lisp, ISLISP (count string) Clojure: String.length string: OCaml: size string: Standard ML: length string: Number of Unicode code points Haskell: string.length: Number of UTF-16 code units Objective-C (NSString * only) string.characters.count: Number of ...
Base 1: the first character is numbered 1, and so on. Any leading or trailing whitespace is removed from the string before searching. If the requested position is negative, this function will search the string counting from the last character. In other words, number = -1 is the same as asking for the last character of the string.
The variable z is used to hold the length of the longest common substring found so far. The set ret is used to hold the set of strings which are of length z. The set ret can be saved efficiently by just storing the index i, which is the last character of the longest common substring (of size z) instead of S[i-z+1..i].
Both character termination and length codes limit strings: For example, C character arrays that contain null (NUL) characters cannot be handled directly by C string library functions: Strings using a length code are limited to the maximum value of the length code. Both of these limitations can be overcome by clever programming.
The split point is at the end of a string (i.e. after the last character of a leaf node) The split point is in the middle of a string. The second case reduces to the first by splitting the string at the split point to create two new leaf nodes, then creating a new node that is the parent of the two component strings.
A prefix of S is a substring S[1..i] for some i in range [1, l], where l is the length of S. A suffix of S is a substring S[i..l] for some i in range [1, l], where l is the length of S. An alignment of P to T is an index k in T such that the last character of P is aligned with index k of T.
In the array containing the E(x, y) values, we then choose the minimal value in the last row, let it be E(x 2, y 2), and follow the path of computation backwards, back to the row number 0. If the field we arrived at was E(0, y 1), then T[y 1 + 1] ... T[y 2] is a substring of T with the minimal edit distance to the pattern P.