Path ID Generator Project

Description

This project is a function that takes a sequence of u8 values and converts them into a unique ID using bitwise operations. The goal is to generate an efficient ID in terms of space and performance by assigning a fixed number of bits to each new u8 passed, optimizing both memory usage and execution speed.

How It Works

• Path Structure: A structure called Path is defined, which stores a sequence of u8 values.
• ID Generation: When a Path (which contains an vector of u8 values) is passed, the system generates a unique ID using bitwise operations. Each u8 in the structure is assigned to a specific part of the resulting ID using bit shifts, ensuring that each new u8 gets a fixed amount of space within the final ID.
• Optimization: The use of bitwise operations ensures that ID generation is fast and efficient, minimizing both execution time and memory usage.

Benefits

• Improved Performance: Bitwise operations are very fast, optimizing the process of generating identifiers.
• Space Efficiency: The fixed-bit assignment for each u8 ensures the minimum required space is used to represent the ID, resulting in a compact data structure.
• Scalability: You can add new u8 values without worrying about overloading the ID size.

Process of Encoding

The algorithm takes each number from the input vector and converts it to its binary representation. Then, it concatenates each of these binary representations to form a continuous binary sequence.

For example, if the input vector is [1, 2, 3], the binary representation of each number is as follows:

• 1 -> 1
• 2 -> 10
• 3 -> 11
• Total elements -> 0011

Each of these binary digits is then assigned to a specific part of the resulting ID using bit shifts. The first u8 is 7 bits, the second u8 is 3 bits, and the third u8 is 3 bits, and the total of u8 is 4 bits. The final ID is 10100110011.

Process of Decoding

The decoding process takes the final binary sequence generated by the encoding process and reverses the steps to retrieve the original input vector.

Steps:

1. Start with the Final Encoded ID:
   We begin with the final binary sequence (e.g., 10100110011) that was generated during the encoding process.

2. Split the Binary Sequence into Chunks:
   The binary sequence is split into chunks, where each chunk corresponds to a specific part of the original numbers. In the example, the chunks are:

• Total elements (4 bits): 0011
• First chunk (7 bits): 1
• Second chunk (3 bits): 010
• Third chunk (3 bits): 011

3. Convert Each Chunk Back to Decimal:
   Each chunk is then converted back from binary to its decimal equivalent:

• 1 (binary) → 1 (decimal)
• 010 (binary) → 2 (decimal)
• 011 (binary) → 3 (decimal)

4. Reconstruct the Original Vector:
   Finally, the decoded numbers are combined to form the original vector. The result is: [1, 2, 3]