-- THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS
-- [constants]
import Base
open Primitives

namespace constants

/- [constants::X0] -/
def x0_body : Result U32 := Result.ret (U32.ofInt 0)
def x0_c : U32 := eval_global x0_body (by simp)

/- [core::num::u32::{8}::MAX] -/
def core_num_u32_max_body : Result U32 := Result.ret (U32.ofInt 4294967295)
def core_num_u32_max_c : U32 := eval_global core_num_u32_max_body (by simp)

/- [constants::X1] -/
def x1_body : Result U32 := Result.ret core_num_u32_max_c
def x1_c : U32 := eval_global x1_body (by simp)

/- [constants::X2] -/
def x2_body : Result U32 := Result.ret (U32.ofInt 3)
def x2_c : U32 := eval_global x2_body (by simp)

/- [constants::incr]: forward function -/
def incr (n : U32) : Result U32 :=
  n + (U32.ofInt 1)

/- [constants::X3] -/
def x3_body : Result U32 := incr (U32.ofInt 32)
def x3_c : U32 := eval_global x3_body (by simp)

/- [constants::mk_pair0]: forward function -/
def mk_pair0 (x : U32) (y : U32) : Result (U32 × U32) :=
  Result.ret (x, y)

/- [constants::Pair] -/
structure Pair (T1 T2 : Type) where
  x : T1
  y : T2

/- [constants::mk_pair1]: forward function -/
def mk_pair1 (x : U32) (y : U32) : Result (Pair U32 U32) :=
  Result.ret { x := x, y := y }

/- [constants::P0] -/
def p0_body : Result (U32 × U32) := mk_pair0 (U32.ofInt 0) (U32.ofInt 1)
def p0_c : (U32 × U32) := eval_global p0_body (by simp)

/- [constants::P1] -/
def p1_body : Result (Pair U32 U32) := mk_pair1 (U32.ofInt 0) (U32.ofInt 1)
def p1_c : Pair U32 U32 := eval_global p1_body (by simp)

/- [constants::P2] -/
def p2_body : Result (U32 × U32) := Result.ret ((U32.ofInt 0), (U32.ofInt 1))
def p2_c : (U32 × U32) := eval_global p2_body (by simp)

/- [constants::P3] -/
def p3_body : Result (Pair U32 U32) :=
  Result.ret { x := (U32.ofInt 0), y := (U32.ofInt 1) }
def p3_c : Pair U32 U32 := eval_global p3_body (by simp)

/- [constants::Wrap] -/
structure Wrap (T : Type) where
  val : T

/- [constants::Wrap::{0}::new]: forward function -/
def Wrap.new (T : Type) (val : T) : Result (Wrap T) :=
  Result.ret { val := val }

/- [constants::Y] -/
def y_body : Result (Wrap I32) := Wrap.new I32 (I32.ofInt 2)
def y_c : Wrap I32 := eval_global y_body (by simp)

/- [constants::unwrap_y]: forward function -/
def unwrap_y : Result I32 :=
  Result.ret y_c.val

/- [constants::YVAL] -/
def yval_body : Result I32 := unwrap_y
def yval_c : I32 := eval_global yval_body (by simp)

/- [constants::get_z1::Z1] -/
def get_z1_z1_body : Result I32 := Result.ret (I32.ofInt 3)
def get_z1_z1_c : I32 := eval_global get_z1_z1_body (by simp)

/- [constants::get_z1]: forward function -/
def get_z1 : Result I32 :=
  Result.ret get_z1_z1_c

/- [constants::add]: forward function -/
def add (a : I32) (b : I32) : Result I32 :=
  a + b

/- [constants::Q1] -/
def q1_body : Result I32 := Result.ret (I32.ofInt 5)
def q1_c : I32 := eval_global q1_body (by simp)

/- [constants::Q2] -/
def q2_body : Result I32 := Result.ret q1_c
def q2_c : I32 := eval_global q2_body (by simp)

/- [constants::Q3] -/
def q3_body : Result I32 := add q2_c (I32.ofInt 3)
def q3_c : I32 := eval_global q3_body (by simp)

/- [constants::get_z2]: forward function -/
def get_z2 : Result I32 :=
  do
    let i ← get_z1
    let i0 ← add i q3_c
    add q1_c i0

/- [constants::S1] -/
def s1_body : Result U32 := Result.ret (U32.ofInt 6)
def s1_c : U32 := eval_global s1_body (by simp)

/- [constants::S2] -/
def s2_body : Result U32 := incr s1_c
def s2_c : U32 := eval_global s2_body (by simp)

/- [constants::S3] -/
def s3_body : Result (Pair U32 U32) := Result.ret p3_c
def s3_c : Pair U32 U32 := eval_global s3_body (by simp)

/- [constants::S4] -/
def s4_body : Result (Pair U32 U32) := mk_pair1 (U32.ofInt 7) (U32.ofInt 8)
def s4_c : Pair U32 U32 := eval_global s4_body (by simp)

end constants