Add treap implementation

Provide macros to generate a type-specific treap implementation and
various functions to operate on it. It uses obj_pool.h to store memory
nodes in a treap.  Previously committed nodes are never removed from
the pool; after any *_commit operation, it is assumed (correctly, in
the case of svn-fast-export) that someone else must care about them.

Treaps provide a memory-efficient binary search tree structure.
Insertion/deletion/search are about as about as fast in the average
case as red-black trees and the chances of worst-case behavior are
vanishingly small, thanks to (pseudo-)randomness.  The bad worst-case
behavior is a small price to pay, given that treaps are much simpler
to implement.

>From http://www.canonware.com/download/trp/trp_hash/trp.h

[db: Altered to reference nodes by offset from a common base pointer]
[db: Bob Jenkins' hashing implementation dropped for Knuth's]
[db: Methods unnecessary for search and insert dropped]
[rr: Squelched compiler warnings]
[db: Added support for immutable treap nodes]
[jn: Reintroduced treap_nsearch(); with tests]

Signed-off-by: David Barr <david.barr@cordelta.com>
Signed-off-by: Ramkumar Ramachandra <artagnon@gmail.com>
Signed-off-by: Jonathan Nieder <jrnieder@gmail.com>
Signed-off-by: Junio C Hamano <gitster@pobox.com>

1 files changed, 236 insertions, 0 deletions

diff --git a/vcs-svn/trp.h b/vcs-svn/trp.h
new file mode 100644
index 0000000000..1f5f51f143
--- /dev/null
+++ b/vcs-svn/trp.h
@@ -0,0 +1,236 @@
+/*
+ * C macro implementation of treaps.
+ *
+ * Usage:
+ *   #include <stdint.h>
+ *   #include "trp.h"
+ *   trp_gen(...)
+ *
+ * Licensed under a two-clause BSD-style license.
+ * See LICENSE for details.
+ */
+
+#ifndef TRP_H_
+#define TRP_H_
+
+#define MAYBE_UNUSED __attribute__((__unused__))
+
+/* Node structure. */
+struct trp_node {
+	uint32_t trpn_left;
+	uint32_t trpn_right;
+};
+
+/* Root structure. */
+struct trp_root {
+	uint32_t trp_root;
+};
+
+/* Pointer/Offset conversion. */
+#define trpn_pointer(a_base, a_offset) (a_base##_pointer(a_offset))
+#define trpn_offset(a_base, a_pointer) (a_base##_offset(a_pointer))
+#define trpn_modify(a_base, a_offset) \
+	do { \
+		if ((a_offset) < a_base##_pool.committed) { \
+			uint32_t old_offset = (a_offset);\
+			(a_offset) = a_base##_alloc(1); \
+			*trpn_pointer(a_base, a_offset) = \
+				*trpn_pointer(a_base, old_offset); \
+		} \
+	} while (0);
+
+/* Left accessors. */
+#define trp_left_get(a_base, a_field, a_node) \
+	(trpn_pointer(a_base, a_node)->a_field.trpn_left)
+#define trp_left_set(a_base, a_field, a_node, a_left) \
+	do { \
+		trpn_modify(a_base, a_node); \
+		trp_left_get(a_base, a_field, a_node) = (a_left); \
+	} while(0)
+
+/* Right accessors. */
+#define trp_right_get(a_base, a_field, a_node) \
+	(trpn_pointer(a_base, a_node)->a_field.trpn_right)
+#define trp_right_set(a_base, a_field, a_node, a_right) \
+	do { \
+		trpn_modify(a_base, a_node); \
+		trp_right_get(a_base, a_field, a_node) = (a_right); \
+	} while(0)
+
+/*
+ * Fibonacci hash function.
+ * The multiplier is the nearest prime to (2^32 times (√5 - 1)/2).
+ * See Knuth §6.4: volume 3, 3rd ed, p518.
+ */
+#define trpn_hash(a_node) (uint32_t) (2654435761u * (a_node))
+
+/* Priority accessors. */
+#define trp_prio_get(a_node) trpn_hash(a_node)
+
+/* Node initializer. */
+#define trp_node_new(a_base, a_field, a_node) \
+	do { \
+		trp_left_set(a_base, a_field, (a_node), ~0); \
+		trp_right_set(a_base, a_field, (a_node), ~0); \
+	} while(0)
+
+/* Internal utility macros. */
+#define trpn_first(a_base, a_field, a_root, r_node) \
+	do { \
+		(r_node) = (a_root); \
+		if ((r_node) == ~0) \
+			return NULL; \
+		while (~trp_left_get(a_base, a_field, (r_node))) \
+			(r_node) = trp_left_get(a_base, a_field, (r_node)); \
+	} while (0)
+
+#define trpn_rotate_left(a_base, a_field, a_node, r_node) \
+	do { \
+		(r_node) = trp_right_get(a_base, a_field, (a_node)); \
+		trp_right_set(a_base, a_field, (a_node), \
+			trp_left_get(a_base, a_field, (r_node))); \
+		trp_left_set(a_base, a_field, (r_node), (a_node)); \
+	} while(0)
+
+#define trpn_rotate_right(a_base, a_field, a_node, r_node) \
+	do { \
+		(r_node) = trp_left_get(a_base, a_field, (a_node)); \
+		trp_left_set(a_base, a_field, (a_node), \
+			trp_right_get(a_base, a_field, (r_node))); \
+		trp_right_set(a_base, a_field, (r_node), (a_node)); \
+	} while(0)
+
+#define trp_gen(a_attr, a_pre, a_type, a_field, a_base, a_cmp) \
+a_attr a_type MAYBE_UNUSED *a_pre##first(struct trp_root *treap) \
+{ \
+	uint32_t ret; \
+	trpn_first(a_base, a_field, treap->trp_root, ret); \
+	return trpn_pointer(a_base, ret); \
+} \
+a_attr a_type MAYBE_UNUSED *a_pre##next(struct trp_root *treap, a_type *node) \
+{ \
+	uint32_t ret; \
+	uint32_t offset = trpn_offset(a_base, node); \
+	if (~trp_right_get(a_base, a_field, offset)) { \
+		trpn_first(a_base, a_field, \
+			trp_right_get(a_base, a_field, offset), ret); \
+	} else { \
+		uint32_t tnode = treap->trp_root; \
+		ret = ~0; \
+		while (1) { \
+			int cmp = (a_cmp)(trpn_pointer(a_base, offset), \
+				trpn_pointer(a_base, tnode)); \
+			if (cmp < 0) { \
+				ret = tnode; \
+				tnode = trp_left_get(a_base, a_field, tnode); \
+			} else if (cmp > 0) { \
+				tnode = trp_right_get(a_base, a_field, tnode); \
+			} else { \
+				break; \
+			} \
+		} \
+	} \
+	return trpn_pointer(a_base, ret); \
+} \
+a_attr a_type MAYBE_UNUSED *a_pre##search(struct trp_root *treap, a_type *key) \
+{ \
+	int cmp; \
+	uint32_t ret = treap->trp_root; \
+	while (~ret && (cmp = (a_cmp)(key, trpn_pointer(a_base,ret)))) { \
+		if (cmp < 0) { \
+			ret = trp_left_get(a_base, a_field, ret); \
+		} else { \
+			ret = trp_right_get(a_base, a_field, ret); \
+		} \
+	} \
+	return trpn_pointer(a_base, ret); \
+} \
+a_attr a_type MAYBE_UNUSED *a_pre##nsearch(struct trp_root *treap, a_type *key) \
+{ \
+	int cmp; \
+	uint32_t ret = treap->trp_root; \
+	while (~ret && (cmp = (a_cmp)(key, trpn_pointer(a_base,ret)))) { \
+		if (cmp < 0) { \
+			if (!~trp_left_get(a_base, a_field, ret)) \
+				break; \
+			ret = trp_left_get(a_base, a_field, ret); \
+		} else { \
+			ret = trp_right_get(a_base, a_field, ret); \
+		} \
+	} \
+	return trpn_pointer(a_base, ret); \
+} \
+a_attr uint32_t MAYBE_UNUSED a_pre##insert_recurse(uint32_t cur_node, uint32_t ins_node) \
+{ \
+	if (cur_node == ~0) { \
+		return (ins_node); \
+	} else { \
+		uint32_t ret; \
+		int cmp = (a_cmp)(trpn_pointer(a_base, ins_node), \
+					trpn_pointer(a_base, cur_node)); \
+		if (cmp < 0) { \
+			uint32_t left = a_pre##insert_recurse( \
+				trp_left_get(a_base, a_field, cur_node), ins_node); \
+			trp_left_set(a_base, a_field, cur_node, left); \
+			if (trp_prio_get(left) < trp_prio_get(cur_node)) \
+				trpn_rotate_right(a_base, a_field, cur_node, ret); \
+			else \
+				ret = cur_node; \
+		} else { \
+			uint32_t right = a_pre##insert_recurse( \
+				trp_right_get(a_base, a_field, cur_node), ins_node); \
+			trp_right_set(a_base, a_field, cur_node, right); \
+			if (trp_prio_get(right) < trp_prio_get(cur_node)) \
+				trpn_rotate_left(a_base, a_field, cur_node, ret); \
+			else \
+				ret = cur_node; \
+		} \
+		return (ret); \
+	} \
+} \
+a_attr void MAYBE_UNUSED a_pre##insert(struct trp_root *treap, a_type *node) \
+{ \
+	uint32_t offset = trpn_offset(a_base, node); \
+	trp_node_new(a_base, a_field, offset); \
+	treap->trp_root = a_pre##insert_recurse(treap->trp_root, offset); \
+} \
+a_attr uint32_t MAYBE_UNUSED a_pre##remove_recurse(uint32_t cur_node, uint32_t rem_node) \
+{ \
+	int cmp = a_cmp(trpn_pointer(a_base, rem_node), \
+			trpn_pointer(a_base, cur_node)); \
+	if (cmp == 0) { \
+		uint32_t ret; \
+		uint32_t left = trp_left_get(a_base, a_field, cur_node); \
+		uint32_t right = trp_right_get(a_base, a_field, cur_node); \
+		if (left == ~0) { \
+			if (right == ~0) \
+				return (~0); \
+		} else if (right == ~0 || trp_prio_get(left) < trp_prio_get(right)) { \
+			trpn_rotate_right(a_base, a_field, cur_node, ret); \
+			right = a_pre##remove_recurse(cur_node, rem_node); \
+			trp_right_set(a_base, a_field, ret, right); \
+			return (ret); \
+		} \
+		trpn_rotate_left(a_base, a_field, cur_node, ret); \
+		left = a_pre##remove_recurse(cur_node, rem_node); \
+		trp_left_set(a_base, a_field, ret, left); \
+		return (ret); \
+	} else if (cmp < 0) { \
+		uint32_t left = a_pre##remove_recurse( \
+			trp_left_get(a_base, a_field, cur_node), rem_node); \
+		trp_left_set(a_base, a_field, cur_node, left); \
+		return (cur_node); \
+	} else { \
+		uint32_t right = a_pre##remove_recurse( \
+			trp_right_get(a_base, a_field, cur_node), rem_node); \
+		trp_right_set(a_base, a_field, cur_node, right); \
+		return (cur_node); \
+	} \
+} \
+a_attr void MAYBE_UNUSED a_pre##remove(struct trp_root *treap, a_type *node) \
+{ \
+	treap->trp_root = a_pre##remove_recurse(treap->trp_root, \
+		trpn_offset(a_base, node)); \
+} \
+
+#endif