cm

source/code/CMakeLists.txt

@@ -4,4 +4,4 @@ project(code C)
 set(CMAKE_C_STANDARD 99)
 
 #add_executable(code list_base.c)
-add_executable(code bstree_link_base.c)
+add_executable(code avl_tree.c)

source/code/avl_tree.c

@@ -0,0 +1,151 @@
+#include <stdio.h>
+#include <stdlib.h>
+
+#define  ElementType int
+typedef struct AVLNode *AVLTree;
+struct AVLNode {
+    ElementType Data;
+    AVLTree Left;
+    AVLTree Right;
+    int Height;
+};
+
+AVLTree CreateAvlTree(){
+    AVLTree t = (AVLTree)malloc(sizeof(struct AVLNode));
+    return t ;
+}
+
+int Max(int a, int b) {
+    if (a > b) {
+        return a;
+    }
+    return b;
+}
+
+int GetHeight(AVLTree t) ;
+void UpdateHeight(AVLTree t) {
+    t->Height = Max(GetHeight(t->Left), GetHeight(t->Right)) + 1;
+    return ;
+}
+
+
+int GetHeight(AVLTree t) {
+    int rightHeight;
+    int leftHeight;
+    if (!t) {
+        return 0;
+    }
+    UpdateHeight(t);
+    return t->Height;
+}
+
+AVLTree RR(AVLTree a) {
+    AVLTree b = a->Right;
+    a->Right = b->Left;
+    b->Left = a;
+
+    UpdateHeight(a);
+    UpdateHeight(b);
+    return b;
+}
+
+AVLTree LL(AVLTree a) {
+    AVLTree b = a->Left;
+    a->Left = b->Right;
+    b->Right = a;
+
+    UpdateHeight(a);
+    UpdateHeight(b);
+    return b;
+}
+
+AVLTree LR(AVLTree a) {
+    a->Left = RR(a->Left);
+    return LL(a);
+}
+AVLTree RL(AVLTree a) {
+    a->Right = LL(a->Right);
+    return RR(a);
+}
+
+AVLTree Insert(AVLTree t, ElementType item) {
+    if (!t) {
+        //  给叶子节点添加一个子节点的时候，走到这个部分。
+        AVLTree node = (AVLTree)malloc(sizeof(struct AVLNode));
+        node->Data = item;
+        node->Left = NULL;
+        node->Right = NULL;
+        node->Height = 1;
+        return node;
+    }
+    if (item > t->Data) {
+        t->Right = Insert(t->Right, item);
+        if (GetHeight(t->Right) - GetHeight(t->Left) == 2) {
+            if (item > t->Right->Data) {
+                t = RR(t);
+            } else {
+                t = RL(t);
+            }
+        }
+    } else {
+        t->Left = Insert(t->Left, item);
+        if (GetHeight(t->Left) - GetHeight(t->Right) == 2) {
+            if (item < t->Left->Data) {
+                t = LL(t);
+            } else {
+                t = LR(t);
+            }
+        }
+    }
+    t->Height = Max(GetHeight(t->Left), GetHeight(t->Right)) + 1;
+    return t;
+}
+void PreOrderTraversalByRecursive(AVLTree bt){
+    if (bt){
+        printf("%d ", bt->Data);
+        PreOrderTraversalByRecursive(bt->Left);
+        PreOrderTraversalByRecursive(bt->Right);
+    }
+}
+
+int main(){
+    AVLTree  avlTree= NULL ;
+    //avlTree = CreateAvlTree();
+    avlTree= Insert(avlTree,1);
+    avlTree = Insert(avlTree,2) ;
+    avlTree= Insert(avlTree,3) ;
+    PreOrderTraversalByRecursive(avlTree);
+    printf("\n");
+    avlTree= Insert(avlTree,7) ;
+    PreOrderTraversalByRecursive(avlTree);
+    printf("\n");
+    avlTree= Insert(avlTree,6) ;
+    avlTree= Insert(avlTree,5) ;
+    avlTree= Insert(avlTree,0) ;
+    PreOrderTraversalByRecursive(avlTree);
+}
+/*
+ * =========================================================
+    one          two        three     three_adjust(RR)
+    1            1             1            2
+                    2             2       1     3
+                                    3
+ * =========================================================
+    four        five            five_adjust(RL)
+     2           2                  2
+   1    3      1    3           1      6
+           7           7              3  7
+                     6
+=========================================================
+ six                six_adjust(RL)
+      2                  3
+   1     6            2    6
+       3   7        1     5  7
+        5
+=========================================================
+ seven              seven_adjust(LL)
+        3                   3
+      2   6              1     6
+    1    5  7           0 2   5 7
+  0
+ */

source/code/cmake-build-debug/CMakeFiles/code.dir/C.includecache

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-/Users/bytedance/github/zhaojiedi1992/My_Study_DataStruct/source/code/bitree_link_base.h
+/Users/bytedance/github/zhaojiedi1992/My_Study_DataStruct/source/code/avl_tree.c
 stdio.h
 -
 stdlib.h
 -
 
-/Users/bytedance/github/zhaojiedi1992/My_Study_DataStruct/source/code/bstree_link_base.c
-stdio.h
--
-stdlib.h
--
-bitree_link_base.h
-/Users/bytedance/github/zhaojiedi1992/My_Study_DataStruct/source/code/bitree_link_base.h
-

source/code/cmake-build-debug/CMakeFiles/code.dir/DependInfo.cmake

@@ -4,7 +4,7 @@ set(CMAKE_DEPENDS_LANGUAGES
   )
 # The set of files for implicit dependencies of each language:
 set(CMAKE_DEPENDS_CHECK_C
-  "/Users/bytedance/github/zhaojiedi1992/My_Study_DataStruct/source/code/bstree_link_base.c" "/Users/bytedance/github/zhaojiedi1992/My_Study_DataStruct/source/code/cmake-build-debug/CMakeFiles/code.dir/bstree_link_base.c.o"
+  "/Users/bytedance/github/zhaojiedi1992/My_Study_DataStruct/source/code/avl_tree.c" "/Users/bytedance/github/zhaojiedi1992/My_Study_DataStruct/source/code/cmake-build-debug/CMakeFiles/code.dir/avl_tree.c.o"
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source/code/cmake-build-debug/CMakeFiles/code.dir/build.make

@@ -57,27 +57,27 @@ include CMakeFiles/code.dir/progress.make
 # Include the compile flags for this target's objects.
 include CMakeFiles/code.dir/flags.make
 
-CMakeFiles/code.dir/bstree_link_base.c.o: CMakeFiles/code.dir/flags.make
-CMakeFiles/code.dir/bstree_link_base.c.o: ../bstree_link_base.c
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+CMakeFiles/code.dir/avl_tree.c.o: CMakeFiles/code.dir/flags.make
+CMakeFiles/code.dir/avl_tree.c.o: ../avl_tree.c
+	@$(CMAKE_COMMAND) -E cmake_echo_color --switch=$(COLOR) --green --progress-dir=/Users/bytedance/github/zhaojiedi1992/My_Study_DataStruct/source/code/cmake-build-debug/CMakeFiles --progress-num=$(CMAKE_PROGRESS_1) "Building C object CMakeFiles/code.dir/avl_tree.c.o"
+	/Library/Developer/CommandLineTools/usr/bin/cc $(C_DEFINES) $(C_INCLUDES) $(C_FLAGS) -o CMakeFiles/code.dir/avl_tree.c.o   -c /Users/bytedance/github/zhaojiedi1992/My_Study_DataStruct/source/code/avl_tree.c
 
-CMakeFiles/code.dir/bstree_link_base.c.i: cmake_force
-	@$(CMAKE_COMMAND) -E cmake_echo_color --switch=$(COLOR) --green "Preprocessing C source to CMakeFiles/code.dir/bstree_link_base.c.i"
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+CMakeFiles/code.dir/avl_tree.c.i: cmake_force
+	@$(CMAKE_COMMAND) -E cmake_echo_color --switch=$(COLOR) --green "Preprocessing C source to CMakeFiles/code.dir/avl_tree.c.i"
+	/Library/Developer/CommandLineTools/usr/bin/cc $(C_DEFINES) $(C_INCLUDES) $(C_FLAGS) -E /Users/bytedance/github/zhaojiedi1992/My_Study_DataStruct/source/code/avl_tree.c > CMakeFiles/code.dir/avl_tree.c.i
 
-CMakeFiles/code.dir/bstree_link_base.c.s: cmake_force
-	@$(CMAKE_COMMAND) -E cmake_echo_color --switch=$(COLOR) --green "Compiling C source to assembly CMakeFiles/code.dir/bstree_link_base.c.s"
-	/Library/Developer/CommandLineTools/usr/bin/cc $(C_DEFINES) $(C_INCLUDES) $(C_FLAGS) -S /Users/bytedance/github/zhaojiedi1992/My_Study_DataStruct/source/code/bstree_link_base.c -o CMakeFiles/code.dir/bstree_link_base.c.s
+CMakeFiles/code.dir/avl_tree.c.s: cmake_force
+	@$(CMAKE_COMMAND) -E cmake_echo_color --switch=$(COLOR) --green "Compiling C source to assembly CMakeFiles/code.dir/avl_tree.c.s"
+	/Library/Developer/CommandLineTools/usr/bin/cc $(C_DEFINES) $(C_INCLUDES) $(C_FLAGS) -S /Users/bytedance/github/zhaojiedi1992/My_Study_DataStruct/source/code/avl_tree.c -o CMakeFiles/code.dir/avl_tree.c.s
 
 # Object files for target code
 code_OBJECTS = \
-"CMakeFiles/code.dir/bstree_link_base.c.o"
+"CMakeFiles/code.dir/avl_tree.c.o"
 
 # External object files for target code
 code_EXTERNAL_OBJECTS =
 
-code: CMakeFiles/code.dir/bstree_link_base.c.o
+code: CMakeFiles/code.dir/avl_tree.c.o
 code: CMakeFiles/code.dir/build.make
 code: CMakeFiles/code.dir/link.txt
 	@$(CMAKE_COMMAND) -E cmake_echo_color --switch=$(COLOR) --green --bold --progress-dir=/Users/bytedance/github/zhaojiedi1992/My_Study_DataStruct/source/code/cmake-build-debug/CMakeFiles --progress-num=$(CMAKE_PROGRESS_2) "Linking C executable code"

source/code/cmake-build-debug/CMakeFiles/code.dir/cmake_clean.cmake

@@ -1,5 +1,5 @@
 file(REMOVE_RECURSE
-  "CMakeFiles/code.dir/bstree_link_base.c.o"
+  "CMakeFiles/code.dir/avl_tree.c.o"
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   "code.pdb"
 )

source/code/cmake-build-debug/CMakeFiles/code.dir/depend.internal

@@ -1,6 +1,5 @@
 # CMAKE generated file: DO NOT EDIT!
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-CMakeFiles/code.dir/bstree_link_base.c.o
- /Users/bytedance/github/zhaojiedi1992/My_Study_DataStruct/source/code/bitree_link_base.h
- /Users/bytedance/github/zhaojiedi1992/My_Study_DataStruct/source/code/bstree_link_base.c
+CMakeFiles/code.dir/avl_tree.c.o
+ /Users/bytedance/github/zhaojiedi1992/My_Study_DataStruct/source/code/avl_tree.c

source/code/cmake-build-debug/CMakeFiles/code.dir/depend.make

@@ -1,6 +1,5 @@
 # CMAKE generated file: DO NOT EDIT!
 # Generated by "Unix Makefiles" Generator, CMake Version 3.15
 
-CMakeFiles/code.dir/bstree_link_base.c.o: ../bitree_link_base.h
-CMakeFiles/code.dir/bstree_link_base.c.o: ../bstree_link_base.c
+CMakeFiles/code.dir/avl_tree.c.o: ../avl_tree.c
 

source/code/cmake-build-debug/CMakeFiles/code.dir/link.txt

@@ -1 +1 @@
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+/Library/Developer/CommandLineTools/usr/bin/cc -g -isysroot /Library/Developer/CommandLineTools/SDKs/MacOSX12.3.sdk -mmacosx-version-min=12.2 -Wl,-search_paths_first -Wl,-headerpad_max_install_names  CMakeFiles/code.dir/avl_tree.c.o  -o code 

source/code/cmake-build-debug/Makefile

@@ -123,32 +123,32 @@ code/fast:
 	$(MAKE) -f CMakeFiles/code.dir/build.make CMakeFiles/code.dir/build
 .PHONY : code/fast
 
-bstree_link_base.o: bstree_link_base.c.o
+avl_tree.o: avl_tree.c.o
 
-.PHONY : bstree_link_base.o
+.PHONY : avl_tree.o
 
 # target to build an object file
-bstree_link_base.c.o:
-	$(MAKE) -f CMakeFiles/code.dir/build.make CMakeFiles/code.dir/bstree_link_base.c.o
-.PHONY : bstree_link_base.c.o
+avl_tree.c.o:
+	$(MAKE) -f CMakeFiles/code.dir/build.make CMakeFiles/code.dir/avl_tree.c.o
+.PHONY : avl_tree.c.o
 
-bstree_link_base.i: bstree_link_base.c.i
+avl_tree.i: avl_tree.c.i
 
-.PHONY : bstree_link_base.i
+.PHONY : avl_tree.i
 
 # target to preprocess a source file
-bstree_link_base.c.i:
-	$(MAKE) -f CMakeFiles/code.dir/build.make CMakeFiles/code.dir/bstree_link_base.c.i
-.PHONY : bstree_link_base.c.i
+avl_tree.c.i:
+	$(MAKE) -f CMakeFiles/code.dir/build.make CMakeFiles/code.dir/avl_tree.c.i
+.PHONY : avl_tree.c.i
 
-bstree_link_base.s: bstree_link_base.c.s
+avl_tree.s: avl_tree.c.s
 
-.PHONY : bstree_link_base.s
+.PHONY : avl_tree.s
 
 # target to generate assembly for a file
-bstree_link_base.c.s:
-	$(MAKE) -f CMakeFiles/code.dir/build.make CMakeFiles/code.dir/bstree_link_base.c.s
-.PHONY : bstree_link_base.c.s
+avl_tree.c.s:
+	$(MAKE) -f CMakeFiles/code.dir/build.make CMakeFiles/code.dir/avl_tree.c.s
+.PHONY : avl_tree.c.s
 
 # Help Target
 help:
@@ -159,9 +159,9 @@ help:
 	@echo "... rebuild_cache"
 	@echo "... edit_cache"
 	@echo "... code"
-	@echo "... bstree_link_base.o"
-	@echo "... bstree_link_base.i"
-	@echo "... bstree_link_base.s"
+	@echo "... avl_tree.o"
+	@echo "... avl_tree.i"
+	@echo "... avl_tree.s"
 .PHONY : help
 
 

source/code/cmake-build-debug/code.cbp

@@ -78,7 +78,7 @@
 				</MakeCommands>
 			</Target>
 		</Build>
-		<Unit filename="/Users/bytedance/github/zhaojiedi1992/My_Study_DataStruct/source/code/bstree_link_base.c">
+		<Unit filename="/Users/bytedance/github/zhaojiedi1992/My_Study_DataStruct/source/code/avl_tree.c">
 			<Option target="code"/>
 		</Unit>
 		<Unit filename="/Users/bytedance/github/zhaojiedi1992/My_Study_DataStruct/source/code/CMakeLists.txt">

source/基本数据结构/06-二叉搜索树和平衡二叉树.rst

@@ -34,6 +34,19 @@
    :linenos:
 
 .. literalinclude:: ../code/bstree_link_base.c
+   :encoding: utf-8
+   :language: c
+   :linenos:
+
+平衡二叉树（AVL)
+==========================================
+平衡因子绝对值小于等于1的搜索树才是平衡二叉树。
+
+平衡因子= 左树高度-右树高度。 
+
+平衡二叉树实现
+==========================================
+.. literalinclude:: ../code/avl_tree.c
    :encoding: utf-8
    :language: c
    :linenos: