Module HMAC_SHA256 := HP.HMAC_FUN SHA256.
Definition Ipad := Byte.repr 54. (*0x36*)
Definition Opad := Byte.repr 92. (*0x5c*)
Definition HMAC256 := HMAC_SHA256.HMAC Ipad Opad.
Definition HMACString (txt passwd:string): list byte :=
HMAC256 (str_to_bytes txt) (str_to_bytes passwd).
Definition HMACHex (text password:string): list byte :=
HMAC256 (hexstring_to_bytelist text) (hexstring_to_bytelist password).
Definition check password text digest :=
bytelist_eq (HMACString text password) (hexstring_to_bytelist digest) = true.
(*a random example, solution obtained via http://www.freeformatter.com/hmac-generator.html#ad-output*)
Goal check "bb" "aa"
"c1201d3dccfb84c069771d07b3eda4dc26e5b34a4d8634b2bba84fb54d11e265".
vm_compute. reflexivity. Qed.
vm_compute. reflexivity. Qed.
Definition checkHex password text digest :=
bytelist_eq (HMACHex text password) (hexstring_to_bytelist digest) = true.
vm_compute. reflexivity. Qed.
vm_compute. reflexivity. Qed.
vm_compute. reflexivity. Qed.

Lemma RFC4231_Section4_5_hex: (*called PRF-4 in RFC4868*)
checkHex "0102030405060708090a0b0c0d0e0f10111213141516171819"
"cdcdcdcdcdcdcdcdcdcdcdcdcdcdcdcdcdcdcdcdcdcdcdcdcdcdcdcdcdcdcdcdcdcdcdcdcdcdcdcdcdcdcdcdcdcdcdcdcdcd"
"82558a389a443c0ea4cc819899f2083a85f0faa3e578f8077a2e3ff46729665b".