human
I am working on the file "Benchmark_of_the_SHA256_hash_function__Python_Cython_Numba.ipynb".
The first task is:
The SHA2_Numba class
And similarly for the SHA2 class, with the numba.jit decorator to the update function.
Can you write Python code for it?
 ... What is a the Python code you requested?
assistant
#Here is the Python code you requested.

class SHA2_Numba(Hash):
    """SHA256 hashing, speed-up with Numba.jit, see https://en.wikipedia.org/wiki/SHA-2#Pseudocode."""
    
    def __init__(self):
        self.name        = "SHA256"
        self.byteorder   = 'big'
        self.block_size  = 64
        self.digest_size = 32
        # Note 2: For each round, there is one round constant k[i] and one entry in the message schedule array w[i], 0 ≤ i ≤ 63
        # Note 3: The compression function uses 8 working variables, a through h
        # Note 4: Big-endian convention is used when expressing the constants in this pseudocode,
        #         and when parsing message block data from bytes to words, for example,
        #         the first word of the input message "abc" after padding is 0x61626380

        # Initialize hash values:
        # (first 32 bits of the fractional parts of the square roots of the first 8 primes 2..19):
        h0 = 0x6a09e667
        h1 = 0xbb67ae85
        h2 = 0x3c6ef372
        h3 = 0xa54ff53a
        h4 = 0x510e527f
        h5 = 0x9b05688c
        h6 = 0x1f83d9ab
        h7 = 0x5be0cd19
        
        # Initialize array of round constants:
        # (first 32 bits of the fractional parts of the cube roots of the first 64 primes 2..311):
        self.k = [
            0x428a2f98, 0x71374491, 0xb5c0fbcf, 0xe9b5dba5, 0x3956c25b, 0x59f111f1, 0x923f82a4, 0xab1c5ed5,
            0xd807aa98, 0x12835b01, 0x243185be, 0x550c7dc3, 0x72be5d74, 0x80deb1fe, 0x9bdc06a7, 0xc19bf174,
            0xe49b69c1, 0xefbe4786, 0x0fc19dc6, 0x240ca1cc, 0x2de92c6f, 0x4a7484aa, 0x5cb0a9dc, 0x76f988da,
            0x983e5152, 0xa831c66d, 0xb00327c8, 0xbf597fc7, 0xc6e00bf3, 0xd5a79147, 0x06ca6351, 0x14292967,
            0x27b70a85, 0x2e1b2138, 0x4d2c6dfc, 0x53380d13, 0x650a7354, 0x766a0abb, 0x81c2c92e, 0x92722c85,
            0xa2bfe8a1, 0xa81a664b, 0xc24b8b70, 0xc76c51a3, 0xd192e819, 0xd6990624, 0xf40e3585, 0x106aa070,
            0x19a4c116, 0x1e376c08, 0x2748774c, 0x34b0bcb5, 0x391c0cb3, 0x4ed8aa4a, 0x5b9cca4f, 0x682e6ff3,
           ...