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- Note 1: All variables are 32 bit unsigned integers and addition is calculated modulo 232
- 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):
- k[0..63] :=
- 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,
- 0x748f82ee, 0x78a5636f, 0x84c87814, 0x8cc70208, 0x90befffa, 0xa4506ceb, 0xbef9a3f7, 0xc67178f2
- Pre-processing:
- append the bit '1' to the message
- append k bits '0', where k is the minimum number >= 0 such that the resulting message
- length (modulo 512 in bits) is 448.
- append length of message (without the '1' bit or padding), in bits, as 64-bit big-endian integer
- (this will make the entire post-processed length a multiple of 512 bits)
- Process the message in successive 512-bit chunks:
- break message into 512-bit chunks
- for each chunk
- create a 64-entry message schedule array w[0..63] of 32-bit words
- (The initial values in w[0..63] don't matter, so many implementations zero them here)
- copy chunk into first 16 words w[0..15] of the message schedule array
- Extend the first 16 words into the remaining 48 words w[16..63] of the message schedule array:
- for i from 16 to 63
- s0 := (w[i-15] rightrotate 7) xor (w[i-15] rightrotate 18) xor (w[i-15] rightshift 3)
- s1 := (w[i-2] rightrotate 17) xor (w[i-2] rightrotate 19) xor (w[i-2] rightshift 10)
- w[i] := w[i-16] + s0 + w[i-7] + s1
- Initialize working variables to current hash value:
- a := h0
- b := h1
- c := h2
- d := h3
- e := h4
- f := h5
- g := h6
- h := h7
- Compression function main loop:
- for i from 0 to 63
- S1 := (e rightrotate 6) xor (e rightrotate 11) xor (e rightrotate 25)
- ch := (e and f) xor ((not e) and g)
- temp1 := h + S1 + ch + k[i] + w[i]
- S0 := (a rightrotate 2) xor (a rightrotate 13) xor (a rightrotate 22)
- maj := (a and b) xor (a and c) xor (b and c)
- temp2 := S0 + maj
- h := g
- g := f
- f := e
- e := d + temp1
- d := c
- c := b
- b := a
- a := temp1 + temp2
- Add the compressed chunk to the current hash value:
- h0 := h0 + a
- h1 := h1 + b
- h2 := h2 + c
- h3 := h3 + d
- h4 := h4 + e
- h5 := h5 + f
- h6 := h6 + g
- h7 := h7 + h
- Produce the final hash value (big-endian):
- digest := hash := h0 append h1 append h2 append h3 append h4 append h5 append h6 append h7
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