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-rw-r--r--include/linux/min_heap.h218
1 files changed, 160 insertions, 58 deletions
diff --git a/include/linux/min_heap.h b/include/linux/min_heap.h
index 44077837385f..43a7b9dcf15e 100644
--- a/include/linux/min_heap.h
+++ b/include/linux/min_heap.h
@@ -7,128 +7,230 @@
#include <linux/types.h>
/**
- * struct min_heap - Data structure to hold a min-heap.
- * @data: Start of array holding the heap elements.
+ * Data structure to hold a min-heap.
* @nr: Number of elements currently in the heap.
* @size: Maximum number of elements that can be held in current storage.
+ * @data: Pointer to the start of array holding the heap elements.
+ * @preallocated: Start of the static preallocated array holding the heap elements.
*/
-struct min_heap {
- void *data;
- int nr;
- int size;
-};
+#define MIN_HEAP_PREALLOCATED(_type, _name, _nr) \
+struct _name { \
+ int nr; \
+ int size; \
+ _type *data; \
+ _type preallocated[_nr]; \
+}
+
+#define DEFINE_MIN_HEAP(_type, _name) MIN_HEAP_PREALLOCATED(_type, _name, 0)
+
+typedef DEFINE_MIN_HEAP(char, min_heap_char) min_heap_char;
+
+#define __minheap_cast(_heap) (typeof((_heap)->data[0]) *)
+#define __minheap_obj_size(_heap) sizeof((_heap)->data[0])
/**
* struct min_heap_callbacks - Data/functions to customise the min_heap.
- * @elem_size: The nr of each element in bytes.
* @less: Partial order function for this heap.
* @swp: Swap elements function.
*/
struct min_heap_callbacks {
- int elem_size;
- bool (*less)(const void *lhs, const void *rhs);
- void (*swp)(void *lhs, void *rhs);
+ bool (*less)(const void *lhs, const void *rhs, void *args);
+ void (*swp)(void *lhs, void *rhs, void *args);
};
+/* Initialize a min-heap. */
+static __always_inline
+void __min_heap_init(min_heap_char *heap, void *data, int size)
+{
+ heap->nr = 0;
+ heap->size = size;
+ if (data)
+ heap->data = data;
+ else
+ heap->data = heap->preallocated;
+}
+
+#define min_heap_init(_heap, _data, _size) \
+ __min_heap_init((min_heap_char *)_heap, _data, _size)
+
+/* Get the minimum element from the heap. */
+static __always_inline
+void *__min_heap_peek(struct min_heap_char *heap)
+{
+ return heap->nr ? heap->data : NULL;
+}
+
+#define min_heap_peek(_heap) \
+ (__minheap_cast(_heap) __min_heap_peek((min_heap_char *)_heap))
+
+/* Check if the heap is full. */
+static __always_inline
+bool __min_heap_full(min_heap_char *heap)
+{
+ return heap->nr == heap->size;
+}
+
+#define min_heap_full(_heap) \
+ __min_heap_full((min_heap_char *)_heap)
+
/* Sift the element at pos down the heap. */
static __always_inline
-void min_heapify(struct min_heap *heap, int pos,
- const struct min_heap_callbacks *func)
+void __min_heap_sift_down(min_heap_char *heap, int pos, size_t elem_size,
+ const struct min_heap_callbacks *func, void *args)
{
- void *left, *right, *parent, *smallest;
+ void *left, *right;
void *data = heap->data;
+ void *root = data + pos * elem_size;
+ int i = pos, j;
+ /* Find the sift-down path all the way to the leaves. */
for (;;) {
- if (pos * 2 + 1 >= heap->nr)
+ if (i * 2 + 2 >= heap->nr)
break;
+ left = data + (i * 2 + 1) * elem_size;
+ right = data + (i * 2 + 2) * elem_size;
+ i = func->less(left, right, args) ? i * 2 + 1 : i * 2 + 2;
+ }
+
+ /* Special case for the last leaf with no sibling. */
+ if (i * 2 + 2 == heap->nr)
+ i = i * 2 + 1;
+
+ /* Backtrack to the correct location. */
+ while (i != pos && func->less(root, data + i * elem_size, args))
+ i = (i - 1) / 2;
+
+ /* Shift the element into its correct place. */
+ j = i;
+ while (i != pos) {
+ i = (i - 1) / 2;
+ func->swp(data + i * elem_size, data + j * elem_size, args);
+ }
+}
- left = data + ((pos * 2 + 1) * func->elem_size);
- parent = data + (pos * func->elem_size);
- smallest = parent;
- if (func->less(left, smallest))
- smallest = left;
-
- if (pos * 2 + 2 < heap->nr) {
- right = data + ((pos * 2 + 2) * func->elem_size);
- if (func->less(right, smallest))
- smallest = right;
- }
- if (smallest == parent)
+#define min_heap_sift_down(_heap, _pos, _func, _args) \
+ __min_heap_sift_down((min_heap_char *)_heap, _pos, __minheap_obj_size(_heap), _func, _args)
+
+/* Sift up ith element from the heap, O(log2(nr)). */
+static __always_inline
+void __min_heap_sift_up(min_heap_char *heap, size_t elem_size, size_t idx,
+ const struct min_heap_callbacks *func, void *args)
+{
+ void *data = heap->data;
+ size_t parent;
+
+ while (idx) {
+ parent = (idx - 1) / 2;
+ if (func->less(data + parent * elem_size, data + idx * elem_size, args))
break;
- func->swp(smallest, parent);
- if (smallest == left)
- pos = (pos * 2) + 1;
- else
- pos = (pos * 2) + 2;
+ func->swp(data + parent * elem_size, data + idx * elem_size, args);
+ idx = parent;
}
}
+#define min_heap_sift_up(_heap, _idx, _func, _args) \
+ __min_heap_sift_up((min_heap_char *)_heap, __minheap_obj_size(_heap), _idx, _func, _args)
+
/* Floyd's approach to heapification that is O(nr). */
static __always_inline
-void min_heapify_all(struct min_heap *heap,
- const struct min_heap_callbacks *func)
+void __min_heapify_all(min_heap_char *heap, size_t elem_size,
+ const struct min_heap_callbacks *func, void *args)
{
int i;
- for (i = heap->nr / 2; i >= 0; i--)
- min_heapify(heap, i, func);
+ for (i = heap->nr / 2 - 1; i >= 0; i--)
+ __min_heap_sift_down(heap, i, elem_size, func, args);
}
+#define min_heapify_all(_heap, _func, _args) \
+ __min_heapify_all((min_heap_char *)_heap, __minheap_obj_size(_heap), _func, _args)
+
/* Remove minimum element from the heap, O(log2(nr)). */
static __always_inline
-void min_heap_pop(struct min_heap *heap,
- const struct min_heap_callbacks *func)
+bool __min_heap_pop(min_heap_char *heap, size_t elem_size,
+ const struct min_heap_callbacks *func, void *args)
{
void *data = heap->data;
if (WARN_ONCE(heap->nr <= 0, "Popping an empty heap"))
- return;
+ return false;
/* Place last element at the root (position 0) and then sift down. */
heap->nr--;
- memcpy(data, data + (heap->nr * func->elem_size), func->elem_size);
- min_heapify(heap, 0, func);
+ memcpy(data, data + (heap->nr * elem_size), elem_size);
+ __min_heap_sift_down(heap, 0, elem_size, func, args);
+
+ return true;
}
+#define min_heap_pop(_heap, _func, _args) \
+ __min_heap_pop((min_heap_char *)_heap, __minheap_obj_size(_heap), _func, _args)
+
/*
* Remove the minimum element and then push the given element. The
* implementation performs 1 sift (O(log2(nr))) and is therefore more
* efficient than a pop followed by a push that does 2.
*/
static __always_inline
-void min_heap_pop_push(struct min_heap *heap,
- const void *element,
- const struct min_heap_callbacks *func)
+void __min_heap_pop_push(min_heap_char *heap,
+ const void *element, size_t elem_size,
+ const struct min_heap_callbacks *func,
+ void *args)
{
- memcpy(heap->data, element, func->elem_size);
- min_heapify(heap, 0, func);
+ memcpy(heap->data, element, elem_size);
+ __min_heap_sift_down(heap, 0, elem_size, func, args);
}
+#define min_heap_pop_push(_heap, _element, _func, _args) \
+ __min_heap_pop_push((min_heap_char *)_heap, _element, __minheap_obj_size(_heap), _func, _args)
+
/* Push an element on to the heap, O(log2(nr)). */
static __always_inline
-void min_heap_push(struct min_heap *heap, const void *element,
- const struct min_heap_callbacks *func)
+bool __min_heap_push(min_heap_char *heap, const void *element, size_t elem_size,
+ const struct min_heap_callbacks *func, void *args)
{
void *data = heap->data;
- void *child, *parent;
int pos;
if (WARN_ONCE(heap->nr >= heap->size, "Pushing on a full heap"))
- return;
+ return false;
/* Place at the end of data. */
pos = heap->nr;
- memcpy(data + (pos * func->elem_size), element, func->elem_size);
+ memcpy(data + (pos * elem_size), element, elem_size);
heap->nr++;
/* Sift child at pos up. */
- for (; pos > 0; pos = (pos - 1) / 2) {
- child = data + (pos * func->elem_size);
- parent = data + ((pos - 1) / 2) * func->elem_size;
- if (func->less(parent, child))
- break;
- func->swp(parent, child);
- }
+ __min_heap_sift_up(heap, elem_size, pos, func, args);
+
+ return true;
}
+#define min_heap_push(_heap, _element, _func, _args) \
+ __min_heap_push((min_heap_char *)_heap, _element, __minheap_obj_size(_heap), _func, _args)
+
+/* Remove ith element from the heap, O(log2(nr)). */
+static __always_inline
+bool __min_heap_del(min_heap_char *heap, size_t elem_size, size_t idx,
+ const struct min_heap_callbacks *func, void *args)
+{
+ void *data = heap->data;
+
+ if (WARN_ONCE(heap->nr <= 0, "Popping an empty heap"))
+ return false;
+
+ /* Place last element at the root (position 0) and then sift down. */
+ heap->nr--;
+ if (idx == heap->nr)
+ return true;
+ func->swp(data + (idx * elem_size), data + (heap->nr * elem_size), args);
+ __min_heap_sift_up(heap, elem_size, idx, func, args);
+ __min_heap_sift_down(heap, idx, elem_size, func, args);
+
+ return true;
+}
+
+#define min_heap_del(_heap, _idx, _func, _args) \
+ __min_heap_del((min_heap_char *)_heap, __minheap_obj_size(_heap), _idx, _func, _args)
+
#endif /* _LINUX_MIN_HEAP_H */