# MIT License
#
# Copyright (c) 2017 Thomas Dixon
#
# Permission is hereby granted, free of charge, to any person obtaining a copy
# of this software and associated documentation files (the "Software"), to deal
# in the Software without restriction, including without limitation the rights
# to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
# copies of the Software, and to permit persons to whom the Software is
# furnished to do so, subject to the following conditions:
#
# The above copyright notice and this permission notice shall be included in all
# copies or substantial portions of the Software.
#
# THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
# IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
# FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
# AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
# LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
# OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
# SOFTWARE.

import copy, struct, sys

def new(m=None):
    return sha512(m)

class sha512:
    _k = (0x428a2f98d728ae22, 0x7137449123ef65cd, 0xb5c0fbcfec4d3b2f, 0xe9b5dba58189dbbc,
          0x3956c25bf348b538, 0x59f111f1b605d019, 0x923f82a4af194f9b, 0xab1c5ed5da6d8118,
          0xd807aa98a3030242, 0x12835b0145706fbe, 0x243185be4ee4b28c, 0x550c7dc3d5ffb4e2,
          0x72be5d74f27b896f, 0x80deb1fe3b1696b1, 0x9bdc06a725c71235, 0xc19bf174cf692694,
          0xe49b69c19ef14ad2, 0xefbe4786384f25e3, 0x0fc19dc68b8cd5b5, 0x240ca1cc77ac9c65,
          0x2de92c6f592b0275, 0x4a7484aa6ea6e483, 0x5cb0a9dcbd41fbd4, 0x76f988da831153b5,
          0x983e5152ee66dfab, 0xa831c66d2db43210, 0xb00327c898fb213f, 0xbf597fc7beef0ee4,
          0xc6e00bf33da88fc2, 0xd5a79147930aa725, 0x06ca6351e003826f, 0x142929670a0e6e70,
          0x27b70a8546d22ffc, 0x2e1b21385c26c926, 0x4d2c6dfc5ac42aed, 0x53380d139d95b3df,
          0x650a73548baf63de, 0x766a0abb3c77b2a8, 0x81c2c92e47edaee6, 0x92722c851482353b,
          0xa2bfe8a14cf10364, 0xa81a664bbc423001, 0xc24b8b70d0f89791, 0xc76c51a30654be30,
          0xd192e819d6ef5218, 0xd69906245565a910, 0xf40e35855771202a, 0x106aa07032bbd1b8,
          0x19a4c116b8d2d0c8, 0x1e376c085141ab53, 0x2748774cdf8eeb99, 0x34b0bcb5e19b48a8,
          0x391c0cb3c5c95a63, 0x4ed8aa4ae3418acb, 0x5b9cca4f7763e373, 0x682e6ff3d6b2b8a3,
          0x748f82ee5defb2fc, 0x78a5636f43172f60, 0x84c87814a1f0ab72, 0x8cc702081a6439ec,
          0x90befffa23631e28, 0xa4506cebde82bde9, 0xbef9a3f7b2c67915, 0xc67178f2e372532b,
          0xca273eceea26619c, 0xd186b8c721c0c207, 0xeada7dd6cde0eb1e, 0xf57d4f7fee6ed178,
          0x06f067aa72176fba, 0x0a637dc5a2c898a6, 0x113f9804bef90dae, 0x1b710b35131c471b,
          0x28db77f523047d84, 0x32caab7b40c72493, 0x3c9ebe0a15c9bebc, 0x431d67c49c100d4c,
          0x4cc5d4becb3e42b6, 0x597f299cfc657e2a, 0x5fcb6fab3ad6faec, 0x6c44198c4a475817)
    _h = (0x6a09e667f3bcc908, 0xbb67ae8584caa73b, 0x3c6ef372fe94f82b, 0xa54ff53a5f1d36f1,
          0x510e527fade682d1, 0x9b05688c2b3e6c1f, 0x1f83d9abfb41bd6b, 0x5be0cd19137e2179)
    _output_size = 8

    blocksize = 1
    block_size = 128
    digest_size = 64

    def __init__(self, m=None):
        self._buffer = b''
        self._counter = 0

        if m is not None:
            if type(m) is not bytes:
                raise TypeError(f'{self.__class__.__name__}() argument 1 must be bytes, not {type(m).__name__}')
            self.update(m)

    def _rotr(self, x, y):
        return ((x >> y) | (x << (64-y))) & 0xFFFFFFFFFFFFFFFF

    def _sha512_process(self, chunk):
        w = [0]*80
        w[0:16] = struct.unpack('!16Q', chunk)

        for i in range(16, 80):
            s0 = self._rotr(w[i-15], 1) ^ self._rotr(w[i-15], 8) ^ (w[i-15] >> 7)
            s1 = self._rotr(w[i-2], 19) ^ self._rotr(w[i-2], 61) ^ (w[i-2] >> 6)
            w[i] = (w[i-16] + s0 + w[i-7] + s1) & 0xFFFFFFFFFFFFFFFF

        a,b,c,d,e,f,g,h = self._h

        for i in range(80):
            s0 = self._rotr(a, 28) ^ self._rotr(a, 34) ^ self._rotr(a, 39)
            maj = (a & b) ^ (a & c) ^ (b & c)
            t2 = s0 + maj
            s1 = self._rotr(e, 14) ^ self._rotr(e, 18) ^ self._rotr(e, 41)
            ch = (e & f) ^ ((~e) & g)
            t1 = h + s1 + ch + self._k[i] + w[i]

            h = g
            g = f
            f = e
            e = (d + t1) & 0xFFFFFFFFFFFFFFFF
            d = c
            c = b
            b = a
            a = (t1 + t2) & 0xFFFFFFFFFFFFFFFF

        self._h = [(x+y) & 0xFFFFFFFFFFFFFFFF for x,y in zip(self._h, [a,b,c,d,e,f,g,h])]

    def update(self, m):
        if not m:
            return
        if type(m) is not bytes:
            raise TypeError(f'{sys._getframe().f_code.co_name}() argument 1 must be bytes, not {type(m).__name__}')

        self._buffer += m
        self._counter += len(m)

        while len(self._buffer) >= 128:
            self._sha512_process(self._buffer[:128])
            self._buffer = self._buffer[128:]

    def digest(self):
        mdi = self._counter & 0x7F
        length = struct.pack('!Q', self._counter<<3)

        if mdi < 112:
            padlen = 111-mdi
        else:
            padlen = 239-mdi

        r = self.copy()
        r.update(b'\x80'+(b'\x00'*(padlen+8))+length)
        return b''.join([struct.pack('!Q', i) for i in r._h[:self._output_size]])

    def hexdigest(self):
        return self.digest().encode('hex')

    def copy(self):
        return copy.deepcopy(self)