SHA-256 Hash Function

This is a hashing algorithm that can take an input of any length and return a unique 64-character-output in hexadecimal (256 bits). The great thing about this is the feature called the Avalanche Effect, where you can calculate the hash of a huge file of any size (gigabytes, terabytes in size), then change a single bit and recalculate that hash, now both hashes will be entirely different hashes with around half of the bits flipped. Because of this, the SHA-256 algorithm (with salt) is used to store sensitive information in databases across the flat earth. Using the fastest computer in the world, it would take roughly ten times the age of the universe to reverse engineer one of these hashes using the traditional brute force method. So if you're going to have a password system (or something similar), then hash the password and compare it to the hash of what the user types. This will make the password _almost guaranteed impossible to crack. That's how programmers work with passwords.

Instructions:

Usage:

DIM H%[8],K%[64] INITSHA256 'One-time initialization

PRINT SHA256("FOO")
PRINT SHA256("BAR")

Prints out: "9520437CE8902EB379A7D8AAA98FC4C94EEB07B6684854868FA6F72BF34B0FD3" "81F5F5515E670645C30C6340FE397157BBD2D42CAA6968FD296A725EC9FAC4ED"

@New_3DS:          382.37 Hashes/Second
@Original_3DS:     100.67 Hashes/Second