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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_ROTATE_H
+#define ALGO_ALGORITHMS_ARRAYS_ROTATE_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>
+
+
+#define algo_macro_swap_items() \
+ (temp = items[i], items[i] = temps[j], items[j] = temp)
+
+
+/**
+ * Rotate an array.
+ *
+ * This function perform an inline rotation, it is probably
+ * faster if you create a new array and make a rotated copy
+ * into that array. It may even more faster to create a
+ * temporary array and copy the content back than using
+ * this inline rotation if you want the rotation to be
+ * stored in the same array. If you choose that latter,
+ * `alloca` can be used to create new array on the stack.
+ *
+ * `algo_make_implementation_of_rotate(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_rotate(T)`.
+ *
+ * `algo_make_prototype_of_rotate(T)` is the prototype
+ * counterpart of `algo_make_implementation_of_rotate(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_rotate(T)` is used to get the version of the
+ * function that supports the data type `T`.
+ * `&(algo_rotate(T))` gets the address of this function
+ * and `algo_rotate(T)(items, n)` calls the function.
+ *
+ * Undefined behaviour is invoked if `steps >= n`.
+ *
+ * @param items The array to rotate.
+ * @param n The number of elements in `items`.
+ * @param steps The number of steps to rotate the array
+ * rightwards. If you want a leftwards
+ * rotation you used call
+ * `algo_rotate(T)(items, n, (n - steps) % n)`.
+ */
+//>fun () {
+void algo_rotate__##T(T* restrict items, size_t n, size_t steps)
+{
+ size_t i, j;
+ T temp;
+
+ steps = (n - steps) % n;
+ for (i = 0, j = steps - 1; i < j; i++, j--) algo_macro_swap_items();
+ for (i = steps, j = n - 1; i < j; i++, j--) algo_macro_swap_items();
+ for (i = 0, j = n - 1; i < j; i++, j--) algo_macro_swap_items();
+}
+//>} ; . ../make_fun
+
+
+/**
+ * Rotate an array and reverse it afterwords.
+ *
+ * `algo_make_implementation_of_rotate_reverse(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_rotate_reverse(T)`.
+ *
+ * `algo_make_prototype_of_rotate_reverse(T)` is the prototype
+ * counterpart of `algo_make_implementation_of_rotate_reverse(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_rotate_reverse(T)` is used to get the version of the
+ * function that supports the data type `T`.
+ * `&(algo_rotate_reverse(T))` gets the address of this function
+ * and `algo_rotate_reverse(T)(items, n)` calls the function.
+ *
+ * Undefined behaviour is invoked if `steps >= n`.
+ *
+ * @param items The array to rotate.
+ * @param n The number of elements in `items`.
+ * @param steps The number of steps to rotate the array
+ * rightwards. If you want a leftwards
+ * rotation you used call
+ * `algo_rotate_reverse(T)(items, n, (n - steps) % n)`.
+ */
+//>fun () {
+void algo_rotate_reverse__##T(T* restrict items, size_t n, size_t steps)
+{
+ size_t i, j;
+ T temp;
+
+ steps = (n - steps) % n;
+ for (i = 0, j = steps - 1; i < j; i++, j--) algo_macro_swap_items();
+ for (i = steps, j = n - 1; i < j; i++, j--) algo_macro_swap_items();
+}
+//>} ; . ../make_fun
+
+
+/**
+ * Reverse an array and rotate it afterwords.
+ *
+ * `algo_make_implementation_of_reverse_rotate(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_reverse_rotate(T)`.
+ *
+ * `algo_make_prototype_of_reverse_rotate(T)` is the prototype
+ * counterpart of `algo_make_implementation_of_reverse_rotate(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_reverse_rotate(T)` is used to get the version of the
+ * function that supports the data type `T`.
+ * `&(algo_reverse_rotate(T))` gets the address of this function
+ * and `algo_reverse_rotate(T)(items, n)` calls the function.
+ *
+ * Undefined behaviour is invoked if `steps >= n`.
+ *
+ * @param items The array to rotate.
+ * @param n The number of elements in `items`.
+ * @param steps The number of steps to rotate the array
+ * rightwards. If you want a leftwards
+ * rotation you used call
+ * `algo_reverse_rotate(T)(items, n, (n - steps) % n)`.
+ */
+//>fun () {
+void algo_reverse_rotate__##T(T* restrict items, size_t n, size_t steps)
+{
+ size_t i, j;
+ T temp;
+
+ for (i = 0, j = steps - 1; i < j; i++, j--) algo_macro_swap_items();
+ for (i = steps, j = n - 1; i < j; i++, j--) algo_macro_swap_items();
+}
+//>} ; . ../make_fun
+
+
+/**
+ * Write a rotated copy of an array into another array.
+ *
+ * `algo_make_implementation_of_rotate_into(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_rotate_into(T)`.
+ *
+ * `algo_make_prototype_of_rotate_into(T)` is the prototype
+ * counterpart of `algo_make_implementation_of_rotate_into(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_rotate_into(T)` is used to get the version of the
+ * function that supports the data type `T`.
+ * `&(algo_rotate_into(T))` gets the address of this function
+ * and `algo_rotate_into(T)(items, n)` calls the function.
+ *
+ * Undefined behaviour is invoked if `steps >= n`.
+ *
+ * @param items The array to rotate.
+ * @param out The array to fill with a rotated copy of `items`.
+ * @param n The number of elements in `items` and in `out`.
+ * @param steps The number of steps to rotate the array
+ * rightwards. If you want a leftwards
+ * rotation you used call
+ * `algo_rotate_into(T)(items, out, n, (n - steps) % n)`.
+ */
+//>fun () {
+void algo_rotate_into__##T(const T* restrict items, T* restrict out, size_t n, size_t steps)
+{
+ size_t m = n - steps;
+ T* restrict out_a = out + steps;
+ T* restrict out_b = out;
+ const T* end_a = items + m;
+ const T* end_b = items + n;
+
+ while (items != end_a) *out_a++ = *items++;
+ while (items != end_b) *out_b++ = *items++;
+}
+//>} ; . ../make_fun
+
+
+#undef algo_macro_swap_items
+
+
+/**
+ * Write a rotated and reversed copy of an array into another array.
+ *
+ * `algo_make_implementation_of_rotate_reverse_into(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_rotate_reverse_into(T)`.
+ *
+ * `algo_make_prototype_of_rotate_reverse_into(T)` is the prototype
+ * counterpart of `algo_make_implementation_of_rotate_reverse_into(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_rotate_reverse_into(T)` is used to get the version of the
+ * function that supports the data type `T`.
+ * `&(algo_rotate_reverse_into(T))` gets the address of this function
+ * and `algo_rotate_reverse_into(T)(items, n)` calls the function.
+ *
+ * Undefined behaviour is invoked if `steps >= n`.
+ *
+ * @param items The array to rotate.
+ * @param out The array to fill with a rotated copy of `items`.
+ * @param n The number of elements in `items` and in `out`.
+ * @param steps The number of steps to rotate the array
+ * rightwards. If you want a leftwards
+ * rotation you used call
+ * `algo_rotate_reverse_into(T)(items, out, n, (n - steps) % n)`.
+ */
+//>fun () {
+void algo_rotate_reverse_into__##T(const T* restrict items, T* restrict out, size_t n, size_t steps)
+{
+ size_t m = n - steps;
+ T* restrict out_a = out + n - steps;
+ T* restrict out_b = out + n;
+ const T* end_a = items + m;
+ const T* end_b = items + n;
+
+ while (items != end_a) *--out_a = *items++;
+ while (items != end_b) *--out_b = *items++;
+}
+//>} ; . ../make_fun
+
+
+/**
+ * Write a reversed and rotated copy of an array into another array.
+ *
+ * `algo_make_implementation_of_reverse_rotate_into(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_reverse_rotate_into(T)`.
+ *
+ * `algo_make_prototype_of_reverse_rotate_into(T)` is the prototype
+ * counterpart of `algo_make_implementation_of_reverse_rotate_into(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_reverse_rotate_into(T)` is used to get the version of the
+ * function that supports the data type `T`.
+ * `&(algo_reverse_rotate_into(T))` gets the address of this function
+ * and `algo_reverse_rotate_into(T)(items, n)` calls the function.
+ *
+ * Undefined behaviour is invoked if `steps >= n`.
+ *
+ * @param items The array to rotate.
+ * @param out The array to fill with a rotated copy of `items`.
+ * @param n The number of elements in `items` and in `out`.
+ * @param steps The number of steps to rotate the array
+ * rightwards. If you want a leftwards
+ * rotation you used call
+ * `algo_reverse_rotate_into(T)(items, out, n, (n - steps) % n)`.
+ */
+//>fun () {
+void algo_reverse_rotate_into__##T(const T* restrict items, T* restrict out, size_t n, size_t steps)
+{
+ size_t m = n - steps;
+ T* restrict out_a = out + steps;
+ T* restrict out_b = out;
+ const T* end_a = out + n;
+ const T* end_b = out + steps;
+
+ while (out_a != end_a) *out_a++ = *--items;
+ while (out_b != end_b) *out_b++ = *--items;
+}
+//>} ; . ../make_fun
+
+
+#undef algo_macro_swap_items
+
+
+#endif
+