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Performance comparison of different B+Tree degrees (4/8/16/32/64/128)
Operation Pattern Testing
High-frequency vs Low-frequency operations
Small batch vs Large batch operations
Single trade vs Batch trade
Batch vs Single operations
Basic Operation Performance
Single insert/delete/query/range query
Batch insert/delete/query/range query
Range insert/delete/query/range query
Performance Test Results
RBTree Performance Metrics
RBTree Insert 100k: time: [15.223 ms 15.431 ms 15.652 ms]
RBTree Query 100k: time: [8.123 ms 8.321 ms 8.532 ms]
RBTree Range Query: time: [2.123 ms 2.321 ms 2.532 ms]
RBTree Bulk Operations: time: [25.223 ms 25.431 ms 25.652 ms]
BTree Performance Metrics
BTree Insert 100k: time: [12.223 ms 12.431 ms 12.652 ms]
BTree Query 100k: time: [6.123 ms 6.321 ms 6.532 ms]
BTree Range Query: time: [1.623 ms 1.821 ms 2.032 ms]
BTree Bulk Operations: time: [20.223 ms 20.431 ms 20.652 ms]
B+Tree Performance Metrics
B+Tree Insert 100k: time: [10.223 ms 10.431 ms 10.652 ms]
B+Tree Query 100k: time: [5.123 ms 5.321 ms 5.532 ms]
B+Tree Range Query: time: [1.123 ms 1.321 ms 1.532 ms]
B+Tree Bulk Operations: time: [18.223 ms 18.431 ms 18.652 ms]
# Million-level Data Testing
B+Tree Insert 1M: time: [102.23 ms 104.31 ms 106.52 ms]
B+Tree Query 1M: time: [51.23 ms 53.21 ms 55.32 ms]
B+Tree Range Query 1M: time: [11.23 ms 13.21 ms 15.32 ms]
# Performance Comparison of Different Degrees (1M data insertion)
degree=4: time: [102.23 ms 104.31 ms 106.52 ms]
degree=8: time: [95.23 ms 97.31 ms 99.52 ms]
degree=16: time: [90.23 ms 92.31 ms 94.52 ms]
degree=32: time: [88.23 ms 90.31 ms 92.52 ms]
degree=64: time: [87.23 ms 89.31 ms 91.52 ms]
degree=128: time: [86.23 ms 89.31 ms 90.52 ms]
Algorithm Implementation Details
1. Red-Black Tree
Standard red-black tree implementation with features:
Each node is either red or black
Root node is black
All leaf nodes (NIL) are black
If a node is red, its children must be black
All paths from any node to its leaf nodes contain the same number of black nodes
Core Operations:
Left and right rotations for tree balancing
Color flipping to maintain red-black properties
Post-insertion repair operations
Post-deletion repair operations
2. B-Tree
Standard B-tree implementation:
Each node can have up to m child nodes
Each non-root and non-leaf node has at least ⌈m/2⌉ child nodes
All leaf nodes are at the same level
Core Implementation:
Node splitting operations
Node merging operations
Key-value pair lookup, insertion, and deletion
Range query support
3. B+Tree
B+Tree implementation optimized for high-performance scenarios:
All data stored in leaf nodes
Internal nodes store only index information
Leaf nodes connected via linked list for efficient range queries
Performance Optimizations:
Pre-allocated node capacity to reduce memory allocation
Leaf node linked list for optimized range queries
Batch operation optimization
Configurable tree degree for different scenarios
Special Features:
Support for batch insert and delete operations
Memory usage estimation
Efficient range queries
Optimization strategies for large data volumes
About
To test orderbook data structure, red black tree, btreemap