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authorMattias Andrée <maandree@operamail.com>2014-10-13 04:31:48 +0200
committerMattias Andrée <maandree@operamail.com>2014-10-13 04:31:48 +0200
commita183b84faa5e52cffc970f4fad5a38e62126b7f7 (patch)
treea393a76fa11430d63a9cb940d3dd7f99b28e1170 /csrc/algorithms/arrays/sorted.h
parentDoes prior art exist for multibinary search and multiinterpolation search? (diff)
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c ports of the array algorithms
Signed-off-by: Mattias Andrée <maandree@operamail.com>
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+/**
+ * Copyright © 2014 Mattias Andrée (maandree@member.fsf.org)
+ *
+ * This program is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU Affero General Public License as published by
+ * the Free Software Foundation, either version 3 of the License, or
+ * (at your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU Affero General Public License for more details.
+ *
+ * You should have received a copy of the GNU Affero General Public License
+ * along with this program. If not, see <http://www.gnu.org/licenses/>.
+ */
+#ifndef ALGO_ALGORITHMS_ARRAYS_SORTED_H
+#define ALGO_ALGORITHMS_ARRAYS_SORTED_H
+
+
+/* NB! This will not play nice if the placeholder `T` is
+ * not set to a type only containing [0-9A-Za-z_] (and $
+ * in GNU C). Therefore, with the exception of `char`,
+ * `short`, `int`, `long`, `float` and `double`, you
+ * should only use `typedef`:ed types. */
+
+
+#include <stddef.h>
+
+
+/**
+ * The order elements are sorted in.
+ */
+typedef enum algo_sorted_order
+ {
+ /**
+ The array is not sorted.
+ */
+ UNORDERED,
+
+ /**
+ * The array is sorted in ascending (normal) order.
+ */
+ ASCENDING_ORDER,
+
+ /**
+ * The array is sorted in descending (reverse normal) order.
+ */
+ DESCENDING_ORDER,
+
+ /**
+ * All elements in the array are mutually equal or the array
+ * contains less than two elements. This is the bitwise OR of
+ * `ASCENDING_ORDER` and `DESCENDING_ORDER`.
+ */
+ FLAT
+
+ } algo_sorted_order_t;
+
+
+/**
+ * Gets whether an array is sorted and in which order it is sorted.
+ *
+ * `algo_make_implementation_of_is_sorted(T)` is used to make
+ * this function available for a particular data type `T`. And
+ * implementation without modifiers and attributes will be
+ * expanded. You may add `static`, `inline` and `__attribute__`
+ * before calling `algo_make_implementation_of_is_sorted(T)`.
+ *
+ * `algo_make_prototype_of_is_sorted(T)` is the prototype
+ * counterpart of `algo_make_implementation_of_is_sorted(T)`.
+ * It too is will not add any modifiers or attributes by
+ * default. It will neither add a semicolon at the end of
+ * the prototype.
+ *
+ * `algo_is_sorted(T)` is used to get the version of the
+ * function that supports the data type `T`.
+ * `&(algo_is_sorted(T))` gets the address of this function
+ * and `algo_is_sorted(T)(items, n)` calls the function.
+ *
+ * This function is pure, if you use GCC you should add
+ * `__attribute__((pure))` to its prototype.
+ *
+ * @param items The items to check if they are ordered.
+ * @param n The number of elements in `items`.
+ * @return The order elements are sorted in.
+ */
+//>fun () {
+algo_sorted_order_t algo_is_sorted__##T(const T* restrict items, size_t n)
+{
+ const T* end = items + n;
+ T last, cur;
+ algo_sorted_order_t order = FLAT;
+
+ if (n == 0)
+ return FLAT;
+
+ for (last = *items++; items != end; last = cur)
+ if (cur = *items++, last < cur)
+ {
+ if (order == FLAT) order = ASCENDING_ORDER;
+ else if (order == DESCENDING_ORDER) return UNORDERED;
+ }
+ else if (last > cur)
+ {
+ if (order == FLAT) order = DESCENDING_ORDER;
+ else if (order == ASCENDING_ORDER) return UNORDERED;
+ }
+
+ return order;
+}
+//>} ; . ../make_fun
+
+
+/**
+ * Gets whether an array is sorted and in which order it is sorted.
+ *
+ * This variant of `algo_is_sorted` is suitable for
+ * non-numeric data.
+ *
+ * `algo_make_implementation_of_is_sorted_cmp(T)` is used to make
+ * this function available for a particular data type `T`. And
+ * implementation without modifiers and attributes will be
+ * expanded. You may add `static`, `inline` and `__attribute__`
+ * before calling `algo_make_implementation_of_is_sorted_cmp(T)`.
+ *
+ * `algo_make_prototype_of_is_sorted_cmp(T)` is the prototype
+ * counterpart of `algo_make_implementation_of_is_sorted_cmp(T)`.
+ * It too is will not add any modifiers or attributes by
+ * default. It will neither add a semicolon at the end of
+ * the prototype.
+ *
+ * `algo_is_sorted_cmp(T)` is used to get the version of the
+ * function that supports the data type `T`.
+ * `&(algo_is_sorted_cmp(T))` gets the address of this function
+ * and `algo_is_sorted_cmp(T)(items, n, cmp)` calls the function.
+ *
+ * This function is not pure because `cmp` is not necessarily pure.
+ *
+ * @param items The items to check if they are ordered.
+ * @param n The number of elements in `items`.
+ * @param cmp Function used to compare two items, it should return a
+ * negative value if its first parameter is the lesser, a
+ * positive value if its second parameter is the lesser
+ * and zero if the parameters are equal.
+ * @return The order elements are sorted in.
+ */
+//>fun () {
+algo_sorted_order_t algo_is_sorted_cmp__##T(const T* restrict items, size_t n,
+ int (*cmp)(const T*, const T*))
+{
+ const T* end = items + n;
+ T last, cur;
+ algo_sorted_order_t order = FLAT;
+ int comparison;
+
+ if (n == 0)
+ return FLAT;
+
+ for (last = *items++; items != end; last = cur)
+ {
+ comparison = cmp(last, cur = *items++);
+ if (comparison < 0)
+ {
+ if (order == FLAT) order = ASCENDING_ORDER;
+ else if (order == DESCENDING_ORDER) return UNORDERED;
+ }
+ else if (comparison > 0)
+ {
+ if (order == FLAT) order = DESCENDING_ORDER;
+ else if (order == ASCENDING_ORDER) return UNORDERED;
+ }
+ }
+
+ return order;
+}
+//>} ; . ../make_fun
+
+
+/**
+ * Gets whether an array is sorted and in which order it is sorted.
+ *
+ * This variant of `algo_is_sorted_cmp` allows you to
+ * store data needed for the comparison in a thread-safe
+ * way. It is reentrant.
+ *
+ * `algo_make_implementation_of_is_sorted_cmp_r(T)` is used to make
+ * this function available for a particular data type `T`. And
+ * implementation without modifiers and attributes will be
+ * expanded. You may add `static`, `inline` and `__attribute__`
+ * before calling `algo_make_implementation_of_is_sorted_cmp_r(T)`.
+ *
+ * `algo_make_prototype_of_is_sorted_cmp_r(T)` is the prototype
+ * counterpart of `algo_make_implementation_of_is_sorted_cmp_r(T)`.
+ * It too is will not add any modifiers or attributes by
+ * default. It will neither add a semicolon at the end of
+ * the prototype.
+ *
+ * `algo_is_sorted_cmp_r(T)` is used to get the version of the
+ * function that supports the data type `T`.
+ * `&(algo_is_sorted_cmp_r(T))` gets the address of this function
+ * and `algo_is_sorted_cmp_r(T)(items, n, cmp)` calls the function.
+ *
+ * This function is not pure because `cmp` is not necessarily pure.
+ *
+ * @param items The items to check if they are ordered.
+ * @param n The number of elements in `items`.
+ * @param cmp Function used to compare two items, it should return a
+ * negative value if its first parameter is the lesser, a
+ * positive value if its second parameter is the lesser
+ * and zero if the parameters are equal. `data` will be
+ * input as `cmp`'s third argument.
+ * @param data Arbitrary data (may be `NULL`) to pass throught to `cmp`.
+ * and zero if the parameters are equal.
+ * @return The order elements are sorted in.
+ */
+//>fun () {
+algo_sorted_order_t algo_is_sorted_cmp_r__##T(const T* restrict items, size_t n,
+ int (*cmp)(const T*, const T*, void*), void* data)
+{
+ const T* end = items + n;
+ T last, cur;
+ algo_sorted_order_t order = FLAT;
+ int comparison;
+
+ if (n == 0)
+ return FLAT;
+
+ for (last = *items++; items != end; last = cur)
+ {
+ comparison = cmp(last, cur = *items++, data);
+ if (comparison < 0)
+ {
+ if (order == FLAT) order = ASCENDING_ORDER;
+ else if (order == DESCENDING_ORDER) return UNORDERED;
+ }
+ else if (comparison > 0)
+ {
+ if (order == FLAT) order = DESCENDING_ORDER;
+ else if (order == ASCENDING_ORDER) return UNORDERED;
+ }
+ }
+
+ return order;
+}
+//>} ; . ../make_fun
+
+
+#endif
+