(** SHA-2 (SHA-256, SHA-512) — pure OCaml, WASM-safe.

    No C stubs, no external deps. Used by the fed-sx host primitives
    [crypto-sha256] / [crypto-sha512]. Reference: FIPS 180-4. *)

(* ---- SHA-256 (FIPS 180-4 §6.2). 32-bit words held in native int,
   masked to 32 bits after every arithmetic op. ---- *)

let mask32 = 0xFFFFFFFF

let k256 = [|
  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 |]

let rotr32 x n = ((x lsr n) lor (x lsl (32 - n))) land mask32

let sha256_hex (msg : string) : string =
  let h = [| 0x6a09e667; 0xbb67ae85; 0x3c6ef372; 0xa54ff53a;
             0x510e527f; 0x9b05688c; 0x1f83d9ab; 0x5be0cd19 |] in
  let len = String.length msg in
  (* Padded length: multiple of 64 bytes. *)
  let bitlen = len * 8 in
  let padlen =
    let r = (len + 1) mod 64 in
    if r <= 56 then 56 - r else 120 - r
  in
  let total = len + 1 + padlen + 8 in
  let buf = Bytes.make total '\000' in
  Bytes.blit_string msg 0 buf 0 len;
  Bytes.set buf len '\x80';
  (* 64-bit big-endian bit length (we cap at OCaml int range). *)
  for i = 0 to 7 do
    Bytes.set buf (total - 1 - i)
      (Char.chr ((bitlen lsr (8 * i)) land 0xFF))
  done;
  let w = Array.make 64 0 in
  let nblocks = total / 64 in
  for b = 0 to nblocks - 1 do
    let base = b * 64 in
    for t = 0 to 15 do
      let o = base + t * 4 in
      w.(t) <-
        (Char.code (Bytes.get buf o) lsl 24)
        lor (Char.code (Bytes.get buf (o + 1)) lsl 16)
        lor (Char.code (Bytes.get buf (o + 2)) lsl 8)
        lor (Char.code (Bytes.get buf (o + 3)))
    done;
    for t = 16 to 63 do
      let s0 =
        (rotr32 w.(t - 15) 7) lxor (rotr32 w.(t - 15) 18)
        lxor (w.(t - 15) lsr 3) in
      let s1 =
        (rotr32 w.(t - 2) 17) lxor (rotr32 w.(t - 2) 19)
        lxor (w.(t - 2) lsr 10) in
      w.(t) <- (w.(t - 16) + s0 + w.(t - 7) + s1) land mask32
    done;
    let a = ref h.(0) and bb = ref h.(1) and c = ref h.(2)
    and d = ref h.(3) and e = ref h.(4) and f = ref h.(5)
    and g = ref h.(6) and hh = ref h.(7) in
    for t = 0 to 63 do
      let s1 =
        (rotr32 !e 6) lxor (rotr32 !e 11) lxor (rotr32 !e 25) in
      let ch = (!e land !f) lxor ((lnot !e land mask32) land !g) in
      let t1 = (!hh + s1 + ch + k256.(t) + w.(t)) land mask32 in
      let s0 =
        (rotr32 !a 2) lxor (rotr32 !a 13) lxor (rotr32 !a 22) in
      let maj = (!a land !bb) lxor (!a land !c) lxor (!bb land !c) in
      let t2 = (s0 + maj) land mask32 in
      hh := !g; g := !f; f := !e;
      e := (!d + t1) land mask32;
      d := !c; c := !bb; bb := !a;
      a := (t1 + t2) land mask32
    done;
    h.(0) <- (h.(0) + !a) land mask32;
    h.(1) <- (h.(1) + !bb) land mask32;
    h.(2) <- (h.(2) + !c) land mask32;
    h.(3) <- (h.(3) + !d) land mask32;
    h.(4) <- (h.(4) + !e) land mask32;
    h.(5) <- (h.(5) + !f) land mask32;
    h.(6) <- (h.(6) + !g) land mask32;
    h.(7) <- (h.(7) + !hh) land mask32
  done;
  let out = Buffer.create 64 in
  Array.iter (fun x -> Buffer.add_string out (Printf.sprintf "%08x" x)) h;
  Buffer.contents out

(* ---- SHA-512 (FIPS 180-4 §6.4). 64-bit words via Int64.
   128-bit length append; we only support messages whose bit length
   fits in 64 bits (high word is always zero). ---- *)

let k512 = [|
  0x428a2f98d728ae22L; 0x7137449123ef65cdL; 0xb5c0fbcfec4d3b2fL;
  0xe9b5dba58189dbbcL; 0x3956c25bf348b538L; 0x59f111f1b605d019L;
  0x923f82a4af194f9bL; 0xab1c5ed5da6d8118L; 0xd807aa98a3030242L;
  0x12835b0145706fbeL; 0x243185be4ee4b28cL; 0x550c7dc3d5ffb4e2L;
  0x72be5d74f27b896fL; 0x80deb1fe3b1696b1L; 0x9bdc06a725c71235L;
  0xc19bf174cf692694L; 0xe49b69c19ef14ad2L; 0xefbe4786384f25e3L;
  0x0fc19dc68b8cd5b5L; 0x240ca1cc77ac9c65L; 0x2de92c6f592b0275L;
  0x4a7484aa6ea6e483L; 0x5cb0a9dcbd41fbd4L; 0x76f988da831153b5L;
  0x983e5152ee66dfabL; 0xa831c66d2db43210L; 0xb00327c898fb213fL;
  0xbf597fc7beef0ee4L; 0xc6e00bf33da88fc2L; 0xd5a79147930aa725L;
  0x06ca6351e003826fL; 0x142929670a0e6e70L; 0x27b70a8546d22ffcL;
  0x2e1b21385c26c926L; 0x4d2c6dfc5ac42aedL; 0x53380d139d95b3dfL;
  0x650a73548baf63deL; 0x766a0abb3c77b2a8L; 0x81c2c92e47edaee6L;
  0x92722c851482353bL; 0xa2bfe8a14cf10364L; 0xa81a664bbc423001L;
  0xc24b8b70d0f89791L; 0xc76c51a30654be30L; 0xd192e819d6ef5218L;
  0xd69906245565a910L; 0xf40e35855771202aL; 0x106aa07032bbd1b8L;
  0x19a4c116b8d2d0c8L; 0x1e376c085141ab53L; 0x2748774cdf8eeb99L;
  0x34b0bcb5e19b48a8L; 0x391c0cb3c5c95a63L; 0x4ed8aa4ae3418acbL;
  0x5b9cca4f7763e373L; 0x682e6ff3d6b2b8a3L; 0x748f82ee5defb2fcL;
  0x78a5636f43172f60L; 0x84c87814a1f0ab72L; 0x8cc702081a6439ecL;
  0x90befffa23631e28L; 0xa4506cebde82bde9L; 0xbef9a3f7b2c67915L;
  0xc67178f2e372532bL; 0xca273eceea26619cL; 0xd186b8c721c0c207L;
  0xeada7dd6cde0eb1eL; 0xf57d4f7fee6ed178L; 0x06f067aa72176fbaL;
  0x0a637dc5a2c898a6L; 0x113f9804bef90daeL; 0x1b710b35131c471bL;
  0x28db77f523047d84L; 0x32caab7b40c72493L; 0x3c9ebe0a15c9bebcL;
  0x431d67c49c100d4cL; 0x4cc5d4becb3e42b6L; 0x597f299cfc657e2aL;
  0x5fcb6fab3ad6faecL; 0x6c44198c4a475817L |]

let ( &: ) = Int64.logand
let ( |: ) = Int64.logor
let ( ^: ) = Int64.logxor
let ( +: ) = Int64.add
let lnot64 = Int64.lognot

let rotr64 x n =
  (Int64.shift_right_logical x n) |: (Int64.shift_left x (64 - n))

let sha512_hex (msg : string) : string =
  let h = [| 0x6a09e667f3bcc908L; 0xbb67ae8584caa73bL;
             0x3c6ef372fe94f82bL; 0xa54ff53a5f1d36f1L;
             0x510e527fade682d1L; 0x9b05688c2b3e6c1fL;
             0x1f83d9abfb41bd6bL; 0x5be0cd19137e2179L |] in
  let len = String.length msg in
  let bitlen = len * 8 in
  (* Pad to a multiple of 128 bytes; 16-byte big-endian length. *)
  let padlen =
    let r = (len + 1) mod 128 in
    if r <= 112 then 112 - r else 240 - r
  in
  let total = len + 1 + padlen + 16 in
  let buf = Bytes.make total '\000' in
  Bytes.blit_string msg 0 buf 0 len;
  Bytes.set buf len '\x80';
  for i = 0 to 7 do
    Bytes.set buf (total - 1 - i)
      (Char.chr ((bitlen lsr (8 * i)) land 0xFF))
  done;
  let w = Array.make 80 0L in
  let nblocks = total / 128 in
  for b = 0 to nblocks - 1 do
    let base = b * 128 in
    for t = 0 to 15 do
      let o = base + t * 8 in
      let v = ref 0L in
      for j = 0 to 7 do
        v := Int64.logor (Int64.shift_left !v 8)
               (Int64.of_int (Char.code (Bytes.get buf (o + j))))
      done;
      w.(t) <- !v
    done;
    for t = 16 to 79 do
      let s0 =
        (rotr64 w.(t - 15) 1) ^: (rotr64 w.(t - 15) 8)
        ^: (Int64.shift_right_logical w.(t - 15) 7) in
      let s1 =
        (rotr64 w.(t - 2) 19) ^: (rotr64 w.(t - 2) 61)
        ^: (Int64.shift_right_logical w.(t - 2) 6) in
      w.(t) <- w.(t - 16) +: s0 +: w.(t - 7) +: s1
    done;
    let a = ref h.(0) and bb = ref h.(1) and c = ref h.(2)
    and d = ref h.(3) and e = ref h.(4) and f = ref h.(5)
    and g = ref h.(6) and hh = ref h.(7) in
    for t = 0 to 79 do
      let s1 = (rotr64 !e 14) ^: (rotr64 !e 18) ^: (rotr64 !e 41) in
      let ch = (!e &: !f) ^: ((lnot64 !e) &: !g) in
      let t1 = !hh +: s1 +: ch +: k512.(t) +: w.(t) in
      let s0 = (rotr64 !a 28) ^: (rotr64 !a 34) ^: (rotr64 !a 39) in
      let maj = (!a &: !bb) ^: (!a &: !c) ^: (!bb &: !c) in
      let t2 = s0 +: maj in
      hh := !g; g := !f; f := !e;
      e := !d +: t1;
      d := !c; c := !bb; bb := !a;
      a := t1 +: t2
    done;
    h.(0) <- h.(0) +: !a;
    h.(1) <- h.(1) +: !bb;
    h.(2) <- h.(2) +: !c;
    h.(3) <- h.(3) +: !d;
    h.(4) <- h.(4) +: !e;
    h.(5) <- h.(5) +: !f;
    h.(6) <- h.(6) +: !g;
    h.(7) <- h.(7) +: !hh
  done;
  let out = Buffer.create 128 in
  Array.iter
    (fun x -> Buffer.add_string out (Printf.sprintf "%016Lx" x)) h;
  Buffer.contents out