* of the GNU Lesser General Public License.
*/
+/***
+ * [[defs]]
+ * Definitions
+ * -----------
+ ***/
+
+/**
+ * Find the first element not lower than @x in the sorted array @ary of @N elements (non-decreasing order).
+ * Returns the index of the found element or @N if no exists. Uses `ary_lt_x(ary,i,x)` to compare the @i'th element with @x.
+ * The time complexity is `O(log(N))`.
+ **/
#define BIN_SEARCH_FIRST_GE_CMP(ary,N,x,ary_lt_x) ({ \
uns l = 0, r = (N); \
while (l < r) \
l; \
})
+/**
+ * The default comparision macro for @BIN_SEARCH_FIRST_GE_CMP().
+ **/
#define ARY_LT_NUM(ary,i,x) (ary)[i] < (x)
+/**
+ * Same as @BIN_SEARCH_FIRST_GE_CMP(), but uses the default `<` operator for comparisions.
+ **/
#define BIN_SEARCH_FIRST_GE(ary,N,x) BIN_SEARCH_FIRST_GE_CMP(ary,N,x,ARY_LT_NUM)
+
+/**
+ * Search the sorted array @ary of @N elements (non-decreasing) for the first occurence of @x.
+ * Returns the index or -1 if no such element exists. Uses the `<` operator for comparisions.
+ **/
#define BIN_SEARCH_EQ(ary,N,x) ({ int i = BIN_SEARCH_FIRST_GE(ary,N,x); if (i >= (N) || (ary)[i] != (x)) i=-1; i; })
--- /dev/null
+Binary search
+=============
+
+* <<defs,Definitions>>
+* <<examples,Examples>>
+ - <<ex_numbers,Numbers>>
+ - <<ex_strings,Strings>>
+
+!!ucw/binsearch.h
+
+[[examples]]
+Examples
+--------
+
+You can find few examples of binary search usage. Although we define only few macros, they can be used
+for several different cases, for example to find lower elements in a (non-)decreasing array or even to find
+elements in a (non-)increasing array.
+
+[[ex_num]]
+Numbers
+~~~~~~~
+
+ static int inc[10] = { 1, 4, 4, 5, 6, 10, 11, 20, 25, 50 };
+ static int dec[3] = { 5, 2, 1 };
+
+ // find the first equal element
+ printf("%d\n", BIN_SEARCH_EQ(inc, 10, 4)); // prints 1
+ printf("%d\n", BIN_SEARCH_EQ(inc, 10, 15)); // prints -1 (not found)
+
+ // find the first greater or equal element
+ printf("%d\n", BIN_SEARCH_GE(inc, 10, 9)); // prints 5
+ printf("%d\n", BIN_SEARCH_GE(inc, 10, 10)); // prints 5
+ printf("%d\n", BIN_SEARCH_GE(inc, 10, 4)); // prints 1
+ printf("%d\n", BIN_SEARCH_GE(inc, 10, 99)); // prints 10 (not found)
+
+ // find the first greater element
+ #define CMP_LE(ary, i, x) ((ary[i]) <= (x))
+ printf("%d\n", BIN_SEARCH_FIRST_GE_CMP(inc, 10, 25, CMP_LE)); // prints 9
+
+ // find the last lower or equal element (or -1 if not found)
+ printf("%d\n", BIN_SEARCH_FIRST_GE_CMP(inc, 10, 25, CMP_LE) - 1); // prints 8
+
+ // find the last lower element (or -1 if not found)
+ printf("%d\n", BIN_SEARCH_FIRST_GE(inc, 10, 25) - 1); // prints 7
+
+ // find the first lower or equal element in the non-increasing array
+ #define CMP_GT(ary, i, x) ((ary[i]) > (x))
+ printf("%d\n", BIN_SEARCH_FIRST_GE_CMP(dec, 3, 4, CMP_GT)); // prints 1
+
+ // ...
+
+[[ex_str]]
+Strings
+~~~~~~~
+
+ static char *str[5] = { "aaa", "abc", "bflmpsvz", "rep", "rep" };
+
+ #define CMP_STR(ary, i, x) (strcmp((ary[i]), (x)) < 0)
+
+ printf("%d\n", BIN_SEARCH_GE_CMP(str, 5, "bfl", CMP_STR)); // prints 2