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|
-- THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS
-- [loops]: function definitions
import Base.Primitives
import Loops.Types
import Loops.Clauses.Clauses
/- [loops::sum] -/
def sum_loop_fwd (max : UInt32) (i : UInt32) (s : UInt32) : (Result UInt32) :=
if h: i < max
then
do
let s0 ← UInt32.checked_add s i
let i0 ← UInt32.checked_add i (UInt32.ofNatCore 1 (by intlit))
sum_loop_fwd max i0 s0
else UInt32.checked_mul s (UInt32.ofNatCore 2 (by intlit))
termination_by sum_loop_fwd max i s => sum_loop_terminates max i s
decreasing_by sum_loop_decreases max i s
/- [loops::sum] -/
def sum_fwd (max : UInt32) : Result UInt32 :=
sum_loop_fwd max (UInt32.ofNatCore 0 (by intlit))
(UInt32.ofNatCore 0 (by intlit))
/- [loops::sum_with_mut_borrows] -/
def sum_with_mut_borrows_loop_fwd
(max : UInt32) (mi : UInt32) (ms : UInt32) : (Result UInt32) :=
if h: mi < max
then
do
let ms0 ← UInt32.checked_add ms mi
let mi0 ← UInt32.checked_add mi (UInt32.ofNatCore 1 (by intlit))
sum_with_mut_borrows_loop_fwd max mi0 ms0
else UInt32.checked_mul ms (UInt32.ofNatCore 2 (by intlit))
termination_by sum_with_mut_borrows_loop_fwd max mi ms =>
sum_with_mut_borrows_loop_terminates max mi ms
decreasing_by sum_with_mut_borrows_loop_decreases max mi ms
/- [loops::sum_with_mut_borrows] -/
def sum_with_mut_borrows_fwd (max : UInt32) : Result UInt32 :=
sum_with_mut_borrows_loop_fwd max (UInt32.ofNatCore 0 (by intlit))
(UInt32.ofNatCore 0 (by intlit))
/- [loops::sum_with_shared_borrows] -/
def sum_with_shared_borrows_loop_fwd
(max : UInt32) (i : UInt32) (s : UInt32) : (Result UInt32) :=
if h: i < max
then
do
let i0 ← UInt32.checked_add i (UInt32.ofNatCore 1 (by intlit))
let s0 ← UInt32.checked_add s i0
sum_with_shared_borrows_loop_fwd max i0 s0
else UInt32.checked_mul s (UInt32.ofNatCore 2 (by intlit))
termination_by sum_with_shared_borrows_loop_fwd max i s =>
sum_with_shared_borrows_loop_terminates max i s
decreasing_by sum_with_shared_borrows_loop_decreases max i s
/- [loops::sum_with_shared_borrows] -/
def sum_with_shared_borrows_fwd (max : UInt32) : Result UInt32 :=
sum_with_shared_borrows_loop_fwd max (UInt32.ofNatCore 0 (by intlit))
(UInt32.ofNatCore 0 (by intlit))
/- [loops::clear] -/
def clear_loop_fwd_back (v : Vec UInt32) (i : USize) : (Result (Vec UInt32)) :=
let i0 := vec_len UInt32 v
if h: i < i0
then
do
let i1 ← USize.checked_add i (USize.ofNatCore 1 (by intlit))
let v0 ← vec_index_mut_back UInt32 v i (UInt32.ofNatCore 0 (by intlit))
clear_loop_fwd_back v0 i1
else Result.ret v
termination_by clear_loop_fwd_back v i => clear_loop_terminates v i
decreasing_by clear_loop_decreases v i
/- [loops::clear] -/
def clear_fwd_back (v : Vec UInt32) : Result (Vec UInt32) :=
clear_loop_fwd_back v (USize.ofNatCore 0 (by intlit))
/- [loops::list_mem] -/
def list_mem_loop_fwd (x : UInt32) (ls : list_t UInt32) : (Result Bool) :=
match h: ls with
| list_t.ListCons y tl =>
if h: y = x
then Result.ret true
else list_mem_loop_fwd x tl
| list_t.ListNil => Result.ret false
termination_by list_mem_loop_fwd x ls => list_mem_loop_terminates x ls
decreasing_by list_mem_loop_decreases x ls
/- [loops::list_mem] -/
def list_mem_fwd (x : UInt32) (ls : list_t UInt32) : Result Bool :=
list_mem_loop_fwd x ls
/- [loops::list_nth_mut_loop] -/
def list_nth_mut_loop_loop_fwd
(T : Type) (ls : list_t T) (i : UInt32) : (Result T) :=
match h: ls with
| list_t.ListCons x tl =>
if h: i = (UInt32.ofNatCore 0 (by intlit))
then Result.ret x
else
do
let i0 ← UInt32.checked_sub i (UInt32.ofNatCore 1 (by intlit))
list_nth_mut_loop_loop_fwd T tl i0
| list_t.ListNil => Result.fail Error.panic
termination_by list_nth_mut_loop_loop_fwd ls i =>
list_nth_mut_loop_loop_terminates T ls i
decreasing_by list_nth_mut_loop_loop_decreases ls i
/- [loops::list_nth_mut_loop] -/
def list_nth_mut_loop_fwd (T : Type) (ls : list_t T) (i : UInt32) : Result T :=
list_nth_mut_loop_loop_fwd T ls i
/- [loops::list_nth_mut_loop] -/
def list_nth_mut_loop_loop_back
(T : Type) (ls : list_t T) (i : UInt32) (ret0 : T) : (Result (list_t T)) :=
match h: ls with
| list_t.ListCons x tl =>
if h: i = (UInt32.ofNatCore 0 (by intlit))
then Result.ret (list_t.ListCons ret0 tl)
else
do
let i0 ← UInt32.checked_sub i (UInt32.ofNatCore 1 (by intlit))
let tl0 ← list_nth_mut_loop_loop_back T tl i0 ret0
Result.ret (list_t.ListCons x tl0)
| list_t.ListNil => Result.fail Error.panic
termination_by list_nth_mut_loop_loop_back ls i ret0 =>
list_nth_mut_loop_loop_terminates T ls i
decreasing_by list_nth_mut_loop_loop_decreases ls i
/- [loops::list_nth_mut_loop] -/
def list_nth_mut_loop_back
(T : Type) (ls : list_t T) (i : UInt32) (ret0 : T) : Result (list_t T) :=
list_nth_mut_loop_loop_back T ls i ret0
/- [loops::list_nth_shared_loop] -/
def list_nth_shared_loop_loop_fwd
(T : Type) (ls : list_t T) (i : UInt32) : (Result T) :=
match h: ls with
| list_t.ListCons x tl =>
if h: i = (UInt32.ofNatCore 0 (by intlit))
then Result.ret x
else
do
let i0 ← UInt32.checked_sub i (UInt32.ofNatCore 1 (by intlit))
list_nth_shared_loop_loop_fwd T tl i0
| list_t.ListNil => Result.fail Error.panic
termination_by list_nth_shared_loop_loop_fwd ls i =>
list_nth_shared_loop_loop_terminates T ls i
decreasing_by list_nth_shared_loop_loop_decreases ls i
/- [loops::list_nth_shared_loop] -/
def list_nth_shared_loop_fwd
(T : Type) (ls : list_t T) (i : UInt32) : Result T :=
list_nth_shared_loop_loop_fwd T ls i
/- [loops::get_elem_mut] -/
def get_elem_mut_loop_fwd (x : USize) (ls : list_t USize) : (Result USize) :=
match h: ls with
| list_t.ListCons y tl =>
if h: y = x
then Result.ret y
else get_elem_mut_loop_fwd x tl
| list_t.ListNil => Result.fail Error.panic
termination_by get_elem_mut_loop_fwd x ls => get_elem_mut_loop_terminates x ls
decreasing_by get_elem_mut_loop_decreases x ls
/- [loops::get_elem_mut] -/
def get_elem_mut_fwd (slots : Vec (list_t USize)) (x : USize) : Result USize :=
do
let l ←
vec_index_mut_fwd (list_t USize) slots (USize.ofNatCore 0 (by intlit))
get_elem_mut_loop_fwd x l
/- [loops::get_elem_mut] -/
def get_elem_mut_loop_back
(x : USize) (ls : list_t USize) (ret0 : USize) : (Result (list_t USize)) :=
match h: ls with
| list_t.ListCons y tl =>
if h: y = x
then Result.ret (list_t.ListCons ret0 tl)
else
do
let tl0 ← get_elem_mut_loop_back x tl ret0
Result.ret (list_t.ListCons y tl0)
| list_t.ListNil => Result.fail Error.panic
termination_by get_elem_mut_loop_back x ls ret0 =>
get_elem_mut_loop_terminates x ls
decreasing_by get_elem_mut_loop_decreases x ls
/- [loops::get_elem_mut] -/
def get_elem_mut_back
(slots : Vec (list_t USize)) (x : USize) (ret0 : USize) :
Result (Vec (list_t USize))
:=
do
let l ←
vec_index_mut_fwd (list_t USize) slots (USize.ofNatCore 0 (by intlit))
let l0 ← get_elem_mut_loop_back x l ret0
vec_index_mut_back (list_t USize) slots (USize.ofNatCore 0 (by intlit)) l0
/- [loops::get_elem_shared] -/
def get_elem_shared_loop_fwd
(x : USize) (ls : list_t USize) : (Result USize) :=
match h: ls with
| list_t.ListCons y tl =>
if h: y = x
then Result.ret y
else get_elem_shared_loop_fwd x tl
| list_t.ListNil => Result.fail Error.panic
termination_by get_elem_shared_loop_fwd x ls =>
get_elem_shared_loop_terminates x ls
decreasing_by get_elem_shared_loop_decreases x ls
/- [loops::get_elem_shared] -/
def get_elem_shared_fwd
(slots : Vec (list_t USize)) (x : USize) : Result USize :=
do
let l ←
vec_index_fwd (list_t USize) slots (USize.ofNatCore 0 (by intlit))
get_elem_shared_loop_fwd x l
/- [loops::id_mut] -/
def id_mut_fwd (T : Type) (ls : list_t T) : Result (list_t T) :=
Result.ret ls
/- [loops::id_mut] -/
def id_mut_back
(T : Type) (ls : list_t T) (ret0 : list_t T) : Result (list_t T) :=
Result.ret ret0
/- [loops::id_shared] -/
def id_shared_fwd (T : Type) (ls : list_t T) : Result (list_t T) :=
Result.ret ls
/- [loops::list_nth_mut_loop_with_id] -/
def list_nth_mut_loop_with_id_loop_fwd
(T : Type) (i : UInt32) (ls : list_t T) : (Result T) :=
match h: ls with
| list_t.ListCons x tl =>
if h: i = (UInt32.ofNatCore 0 (by intlit))
then Result.ret x
else
do
let i0 ← UInt32.checked_sub i (UInt32.ofNatCore 1 (by intlit))
list_nth_mut_loop_with_id_loop_fwd T i0 tl
| list_t.ListNil => Result.fail Error.panic
termination_by list_nth_mut_loop_with_id_loop_fwd i ls =>
list_nth_mut_loop_with_id_loop_terminates T i ls
decreasing_by list_nth_mut_loop_with_id_loop_decreases i ls
/- [loops::list_nth_mut_loop_with_id] -/
def list_nth_mut_loop_with_id_fwd
(T : Type) (ls : list_t T) (i : UInt32) : Result T :=
do
let ls0 ← id_mut_fwd T ls
list_nth_mut_loop_with_id_loop_fwd T i ls0
/- [loops::list_nth_mut_loop_with_id] -/
def list_nth_mut_loop_with_id_loop_back
(T : Type) (i : UInt32) (ls : list_t T) (ret0 : T) : (Result (list_t T)) :=
match h: ls with
| list_t.ListCons x tl =>
if h: i = (UInt32.ofNatCore 0 (by intlit))
then Result.ret (list_t.ListCons ret0 tl)
else
do
let i0 ← UInt32.checked_sub i (UInt32.ofNatCore 1 (by intlit))
let tl0 ← list_nth_mut_loop_with_id_loop_back T i0 tl ret0
Result.ret (list_t.ListCons x tl0)
| list_t.ListNil => Result.fail Error.panic
termination_by list_nth_mut_loop_with_id_loop_back i ls ret0 =>
list_nth_mut_loop_with_id_loop_terminates T i ls
decreasing_by list_nth_mut_loop_with_id_loop_decreases i ls
/- [loops::list_nth_mut_loop_with_id] -/
def list_nth_mut_loop_with_id_back
(T : Type) (ls : list_t T) (i : UInt32) (ret0 : T) : Result (list_t T) :=
do
let ls0 ← id_mut_fwd T ls
let l ← list_nth_mut_loop_with_id_loop_back T i ls0 ret0
id_mut_back T ls l
/- [loops::list_nth_shared_loop_with_id] -/
def list_nth_shared_loop_with_id_loop_fwd
(T : Type) (i : UInt32) (ls : list_t T) : (Result T) :=
match h: ls with
| list_t.ListCons x tl =>
if h: i = (UInt32.ofNatCore 0 (by intlit))
then Result.ret x
else
do
let i0 ← UInt32.checked_sub i (UInt32.ofNatCore 1 (by intlit))
list_nth_shared_loop_with_id_loop_fwd T i0 tl
| list_t.ListNil => Result.fail Error.panic
termination_by list_nth_shared_loop_with_id_loop_fwd i ls =>
list_nth_shared_loop_with_id_loop_terminates T i ls
decreasing_by list_nth_shared_loop_with_id_loop_decreases i ls
/- [loops::list_nth_shared_loop_with_id] -/
def list_nth_shared_loop_with_id_fwd
(T : Type) (ls : list_t T) (i : UInt32) : Result T :=
do
let ls0 ← id_shared_fwd T ls
list_nth_shared_loop_with_id_loop_fwd T i ls0
/- [loops::list_nth_mut_loop_pair] -/
def list_nth_mut_loop_pair_loop_fwd
(T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) :
(Result (T × T))
:=
match h: ls0 with
| list_t.ListCons x0 tl0 =>
match h: ls1 with
| list_t.ListCons x1 tl1 =>
if h: i = (UInt32.ofNatCore 0 (by intlit))
then Result.ret (x0, x1)
else
do
let i0 ← UInt32.checked_sub i (UInt32.ofNatCore 1 (by intlit))
list_nth_mut_loop_pair_loop_fwd T tl0 tl1 i0
| list_t.ListNil => Result.fail Error.panic
| list_t.ListNil => Result.fail Error.panic
termination_by list_nth_mut_loop_pair_loop_fwd ls0 ls1 i =>
list_nth_mut_loop_pair_loop_terminates T ls0 ls1 i
decreasing_by list_nth_mut_loop_pair_loop_decreases ls0 ls1 i
/- [loops::list_nth_mut_loop_pair] -/
def list_nth_mut_loop_pair_fwd
(T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) :
Result (T × T)
:=
list_nth_mut_loop_pair_loop_fwd T ls0 ls1 i
/- [loops::list_nth_mut_loop_pair] -/
def list_nth_mut_loop_pair_loop_back'a
(T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) (ret0 : T) :
(Result (list_t T))
:=
match h: ls0 with
| list_t.ListCons x0 tl0 =>
match h: ls1 with
| list_t.ListCons x1 tl1 =>
if h: i = (UInt32.ofNatCore 0 (by intlit))
then Result.ret (list_t.ListCons ret0 tl0)
else
do
let i0 ← UInt32.checked_sub i (UInt32.ofNatCore 1 (by intlit))
let tl00 ← list_nth_mut_loop_pair_loop_back'a T tl0 tl1 i0 ret0
Result.ret (list_t.ListCons x0 tl00)
| list_t.ListNil => Result.fail Error.panic
| list_t.ListNil => Result.fail Error.panic
termination_by list_nth_mut_loop_pair_loop_back'a ls0 ls1 i ret0 =>
list_nth_mut_loop_pair_loop_terminates T ls0 ls1 i
decreasing_by list_nth_mut_loop_pair_loop_decreases ls0 ls1 i
/- [loops::list_nth_mut_loop_pair] -/
def list_nth_mut_loop_pair_back'a
(T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) (ret0 : T) :
Result (list_t T)
:=
list_nth_mut_loop_pair_loop_back'a T ls0 ls1 i ret0
/- [loops::list_nth_mut_loop_pair] -/
def list_nth_mut_loop_pair_loop_back'b
(T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) (ret0 : T) :
(Result (list_t T))
:=
match h: ls0 with
| list_t.ListCons x0 tl0 =>
match h: ls1 with
| list_t.ListCons x1 tl1 =>
if h: i = (UInt32.ofNatCore 0 (by intlit))
then Result.ret (list_t.ListCons ret0 tl1)
else
do
let i0 ← UInt32.checked_sub i (UInt32.ofNatCore 1 (by intlit))
let tl10 ← list_nth_mut_loop_pair_loop_back'b T tl0 tl1 i0 ret0
Result.ret (list_t.ListCons x1 tl10)
| list_t.ListNil => Result.fail Error.panic
| list_t.ListNil => Result.fail Error.panic
termination_by list_nth_mut_loop_pair_loop_back'b ls0 ls1 i ret0 =>
list_nth_mut_loop_pair_loop_terminates T ls0 ls1 i
decreasing_by list_nth_mut_loop_pair_loop_decreases ls0 ls1 i
/- [loops::list_nth_mut_loop_pair] -/
def list_nth_mut_loop_pair_back'b
(T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) (ret0 : T) :
Result (list_t T)
:=
list_nth_mut_loop_pair_loop_back'b T ls0 ls1 i ret0
/- [loops::list_nth_shared_loop_pair] -/
def list_nth_shared_loop_pair_loop_fwd
(T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) :
(Result (T × T))
:=
match h: ls0 with
| list_t.ListCons x0 tl0 =>
match h: ls1 with
| list_t.ListCons x1 tl1 =>
if h: i = (UInt32.ofNatCore 0 (by intlit))
then Result.ret (x0, x1)
else
do
let i0 ← UInt32.checked_sub i (UInt32.ofNatCore 1 (by intlit))
list_nth_shared_loop_pair_loop_fwd T tl0 tl1 i0
| list_t.ListNil => Result.fail Error.panic
| list_t.ListNil => Result.fail Error.panic
termination_by list_nth_shared_loop_pair_loop_fwd ls0 ls1 i =>
list_nth_shared_loop_pair_loop_terminates T ls0 ls1 i
decreasing_by list_nth_shared_loop_pair_loop_decreases ls0 ls1 i
/- [loops::list_nth_shared_loop_pair] -/
def list_nth_shared_loop_pair_fwd
(T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) :
Result (T × T)
:=
list_nth_shared_loop_pair_loop_fwd T ls0 ls1 i
/- [loops::list_nth_mut_loop_pair_merge] -/
def list_nth_mut_loop_pair_merge_loop_fwd
(T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) :
(Result (T × T))
:=
match h: ls0 with
| list_t.ListCons x0 tl0 =>
match h: ls1 with
| list_t.ListCons x1 tl1 =>
if h: i = (UInt32.ofNatCore 0 (by intlit))
then Result.ret (x0, x1)
else
do
let i0 ← UInt32.checked_sub i (UInt32.ofNatCore 1 (by intlit))
list_nth_mut_loop_pair_merge_loop_fwd T tl0 tl1 i0
| list_t.ListNil => Result.fail Error.panic
| list_t.ListNil => Result.fail Error.panic
termination_by list_nth_mut_loop_pair_merge_loop_fwd ls0 ls1 i =>
list_nth_mut_loop_pair_merge_loop_terminates T ls0 ls1 i
decreasing_by list_nth_mut_loop_pair_merge_loop_decreases ls0 ls1 i
/- [loops::list_nth_mut_loop_pair_merge] -/
def list_nth_mut_loop_pair_merge_fwd
(T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) :
Result (T × T)
:=
list_nth_mut_loop_pair_merge_loop_fwd T ls0 ls1 i
/- [loops::list_nth_mut_loop_pair_merge] -/
def list_nth_mut_loop_pair_merge_loop_back
(T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) (ret0 : (T × T)) :
(Result ((list_t T) × (list_t T)))
:=
match h: ls0 with
| list_t.ListCons x0 tl0 =>
match h: ls1 with
| list_t.ListCons x1 tl1 =>
if h: i = (UInt32.ofNatCore 0 (by intlit))
then
let (t, t0) := ret0
Result.ret (list_t.ListCons t tl0, list_t.ListCons t0 tl1)
else
do
let i0 ← UInt32.checked_sub i (UInt32.ofNatCore 1 (by intlit))
let (tl00, tl10) ←
list_nth_mut_loop_pair_merge_loop_back T tl0 tl1 i0 ret0
Result.ret (list_t.ListCons x0 tl00, list_t.ListCons x1 tl10)
| list_t.ListNil => Result.fail Error.panic
| list_t.ListNil => Result.fail Error.panic
termination_by list_nth_mut_loop_pair_merge_loop_back ls0 ls1 i ret0 =>
list_nth_mut_loop_pair_merge_loop_terminates T ls0 ls1 i
decreasing_by list_nth_mut_loop_pair_merge_loop_decreases ls0 ls1 i
/- [loops::list_nth_mut_loop_pair_merge] -/
def list_nth_mut_loop_pair_merge_back
(T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) (ret0 : (T × T)) :
Result ((list_t T) × (list_t T))
:=
list_nth_mut_loop_pair_merge_loop_back T ls0 ls1 i ret0
/- [loops::list_nth_shared_loop_pair_merge] -/
def list_nth_shared_loop_pair_merge_loop_fwd
(T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) :
(Result (T × T))
:=
match h: ls0 with
| list_t.ListCons x0 tl0 =>
match h: ls1 with
| list_t.ListCons x1 tl1 =>
if h: i = (UInt32.ofNatCore 0 (by intlit))
then Result.ret (x0, x1)
else
do
let i0 ← UInt32.checked_sub i (UInt32.ofNatCore 1 (by intlit))
list_nth_shared_loop_pair_merge_loop_fwd T tl0 tl1 i0
| list_t.ListNil => Result.fail Error.panic
| list_t.ListNil => Result.fail Error.panic
termination_by list_nth_shared_loop_pair_merge_loop_fwd ls0 ls1 i =>
list_nth_shared_loop_pair_merge_loop_terminates T ls0 ls1 i
decreasing_by list_nth_shared_loop_pair_merge_loop_decreases ls0 ls1 i
/- [loops::list_nth_shared_loop_pair_merge] -/
def list_nth_shared_loop_pair_merge_fwd
(T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) :
Result (T × T)
:=
list_nth_shared_loop_pair_merge_loop_fwd T ls0 ls1 i
/- [loops::list_nth_mut_shared_loop_pair] -/
def list_nth_mut_shared_loop_pair_loop_fwd
(T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) :
(Result (T × T))
:=
match h: ls0 with
| list_t.ListCons x0 tl0 =>
match h: ls1 with
| list_t.ListCons x1 tl1 =>
if h: i = (UInt32.ofNatCore 0 (by intlit))
then Result.ret (x0, x1)
else
do
let i0 ← UInt32.checked_sub i (UInt32.ofNatCore 1 (by intlit))
list_nth_mut_shared_loop_pair_loop_fwd T tl0 tl1 i0
| list_t.ListNil => Result.fail Error.panic
| list_t.ListNil => Result.fail Error.panic
termination_by list_nth_mut_shared_loop_pair_loop_fwd ls0 ls1 i =>
list_nth_mut_shared_loop_pair_loop_terminates T ls0 ls1 i
decreasing_by list_nth_mut_shared_loop_pair_loop_decreases ls0 ls1 i
/- [loops::list_nth_mut_shared_loop_pair] -/
def list_nth_mut_shared_loop_pair_fwd
(T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) :
Result (T × T)
:=
list_nth_mut_shared_loop_pair_loop_fwd T ls0 ls1 i
/- [loops::list_nth_mut_shared_loop_pair] -/
def list_nth_mut_shared_loop_pair_loop_back
(T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) (ret0 : T) :
(Result (list_t T))
:=
match h: ls0 with
| list_t.ListCons x0 tl0 =>
match h: ls1 with
| list_t.ListCons x1 tl1 =>
if h: i = (UInt32.ofNatCore 0 (by intlit))
then Result.ret (list_t.ListCons ret0 tl0)
else
do
let i0 ← UInt32.checked_sub i (UInt32.ofNatCore 1 (by intlit))
let tl00 ←
list_nth_mut_shared_loop_pair_loop_back T tl0 tl1 i0 ret0
Result.ret (list_t.ListCons x0 tl00)
| list_t.ListNil => Result.fail Error.panic
| list_t.ListNil => Result.fail Error.panic
termination_by list_nth_mut_shared_loop_pair_loop_back ls0 ls1 i ret0 =>
list_nth_mut_shared_loop_pair_loop_terminates T ls0 ls1 i
decreasing_by list_nth_mut_shared_loop_pair_loop_decreases ls0 ls1 i
/- [loops::list_nth_mut_shared_loop_pair] -/
def list_nth_mut_shared_loop_pair_back
(T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) (ret0 : T) :
Result (list_t T)
:=
list_nth_mut_shared_loop_pair_loop_back T ls0 ls1 i ret0
/- [loops::list_nth_mut_shared_loop_pair_merge] -/
def list_nth_mut_shared_loop_pair_merge_loop_fwd
(T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) :
(Result (T × T))
:=
match h: ls0 with
| list_t.ListCons x0 tl0 =>
match h: ls1 with
| list_t.ListCons x1 tl1 =>
if h: i = (UInt32.ofNatCore 0 (by intlit))
then Result.ret (x0, x1)
else
do
let i0 ← UInt32.checked_sub i (UInt32.ofNatCore 1 (by intlit))
list_nth_mut_shared_loop_pair_merge_loop_fwd T tl0 tl1 i0
| list_t.ListNil => Result.fail Error.panic
| list_t.ListNil => Result.fail Error.panic
termination_by list_nth_mut_shared_loop_pair_merge_loop_fwd ls0 ls1 i =>
list_nth_mut_shared_loop_pair_merge_loop_terminates T ls0 ls1 i
decreasing_by list_nth_mut_shared_loop_pair_merge_loop_decreases ls0 ls1 i
/- [loops::list_nth_mut_shared_loop_pair_merge] -/
def list_nth_mut_shared_loop_pair_merge_fwd
(T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) :
Result (T × T)
:=
list_nth_mut_shared_loop_pair_merge_loop_fwd T ls0 ls1 i
/- [loops::list_nth_mut_shared_loop_pair_merge] -/
def list_nth_mut_shared_loop_pair_merge_loop_back
(T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) (ret0 : T) :
(Result (list_t T))
:=
match h: ls0 with
| list_t.ListCons x0 tl0 =>
match h: ls1 with
| list_t.ListCons x1 tl1 =>
if h: i = (UInt32.ofNatCore 0 (by intlit))
then Result.ret (list_t.ListCons ret0 tl0)
else
do
let i0 ← UInt32.checked_sub i (UInt32.ofNatCore 1 (by intlit))
let tl00 ←
list_nth_mut_shared_loop_pair_merge_loop_back T tl0 tl1 i0 ret0
Result.ret (list_t.ListCons x0 tl00)
| list_t.ListNil => Result.fail Error.panic
| list_t.ListNil => Result.fail Error.panic
termination_by list_nth_mut_shared_loop_pair_merge_loop_back ls0 ls1 i ret0 =>
list_nth_mut_shared_loop_pair_merge_loop_terminates T ls0 ls1 i
decreasing_by list_nth_mut_shared_loop_pair_merge_loop_decreases ls0 ls1 i
/- [loops::list_nth_mut_shared_loop_pair_merge] -/
def list_nth_mut_shared_loop_pair_merge_back
(T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) (ret0 : T) :
Result (list_t T)
:=
list_nth_mut_shared_loop_pair_merge_loop_back T ls0 ls1 i ret0
/- [loops::list_nth_shared_mut_loop_pair] -/
def list_nth_shared_mut_loop_pair_loop_fwd
(T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) :
(Result (T × T))
:=
match h: ls0 with
| list_t.ListCons x0 tl0 =>
match h: ls1 with
| list_t.ListCons x1 tl1 =>
if h: i = (UInt32.ofNatCore 0 (by intlit))
then Result.ret (x0, x1)
else
do
let i0 ← UInt32.checked_sub i (UInt32.ofNatCore 1 (by intlit))
list_nth_shared_mut_loop_pair_loop_fwd T tl0 tl1 i0
| list_t.ListNil => Result.fail Error.panic
| list_t.ListNil => Result.fail Error.panic
termination_by list_nth_shared_mut_loop_pair_loop_fwd ls0 ls1 i =>
list_nth_shared_mut_loop_pair_loop_terminates T ls0 ls1 i
decreasing_by list_nth_shared_mut_loop_pair_loop_decreases ls0 ls1 i
/- [loops::list_nth_shared_mut_loop_pair] -/
def list_nth_shared_mut_loop_pair_fwd
(T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) :
Result (T × T)
:=
list_nth_shared_mut_loop_pair_loop_fwd T ls0 ls1 i
/- [loops::list_nth_shared_mut_loop_pair] -/
def list_nth_shared_mut_loop_pair_loop_back
(T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) (ret0 : T) :
(Result (list_t T))
:=
match h: ls0 with
| list_t.ListCons x0 tl0 =>
match h: ls1 with
| list_t.ListCons x1 tl1 =>
if h: i = (UInt32.ofNatCore 0 (by intlit))
then Result.ret (list_t.ListCons ret0 tl1)
else
do
let i0 ← UInt32.checked_sub i (UInt32.ofNatCore 1 (by intlit))
let tl10 ←
list_nth_shared_mut_loop_pair_loop_back T tl0 tl1 i0 ret0
Result.ret (list_t.ListCons x1 tl10)
| list_t.ListNil => Result.fail Error.panic
| list_t.ListNil => Result.fail Error.panic
termination_by list_nth_shared_mut_loop_pair_loop_back ls0 ls1 i ret0 =>
list_nth_shared_mut_loop_pair_loop_terminates T ls0 ls1 i
decreasing_by list_nth_shared_mut_loop_pair_loop_decreases ls0 ls1 i
/- [loops::list_nth_shared_mut_loop_pair] -/
def list_nth_shared_mut_loop_pair_back
(T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) (ret0 : T) :
Result (list_t T)
:=
list_nth_shared_mut_loop_pair_loop_back T ls0 ls1 i ret0
/- [loops::list_nth_shared_mut_loop_pair_merge] -/
def list_nth_shared_mut_loop_pair_merge_loop_fwd
(T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) :
(Result (T × T))
:=
match h: ls0 with
| list_t.ListCons x0 tl0 =>
match h: ls1 with
| list_t.ListCons x1 tl1 =>
if h: i = (UInt32.ofNatCore 0 (by intlit))
then Result.ret (x0, x1)
else
do
let i0 ← UInt32.checked_sub i (UInt32.ofNatCore 1 (by intlit))
list_nth_shared_mut_loop_pair_merge_loop_fwd T tl0 tl1 i0
| list_t.ListNil => Result.fail Error.panic
| list_t.ListNil => Result.fail Error.panic
termination_by list_nth_shared_mut_loop_pair_merge_loop_fwd ls0 ls1 i =>
list_nth_shared_mut_loop_pair_merge_loop_terminates T ls0 ls1 i
decreasing_by list_nth_shared_mut_loop_pair_merge_loop_decreases ls0 ls1 i
/- [loops::list_nth_shared_mut_loop_pair_merge] -/
def list_nth_shared_mut_loop_pair_merge_fwd
(T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) :
Result (T × T)
:=
list_nth_shared_mut_loop_pair_merge_loop_fwd T ls0 ls1 i
/- [loops::list_nth_shared_mut_loop_pair_merge] -/
def list_nth_shared_mut_loop_pair_merge_loop_back
(T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) (ret0 : T) :
(Result (list_t T))
:=
match h: ls0 with
| list_t.ListCons x0 tl0 =>
match h: ls1 with
| list_t.ListCons x1 tl1 =>
if h: i = (UInt32.ofNatCore 0 (by intlit))
then Result.ret (list_t.ListCons ret0 tl1)
else
do
let i0 ← UInt32.checked_sub i (UInt32.ofNatCore 1 (by intlit))
let tl10 ←
list_nth_shared_mut_loop_pair_merge_loop_back T tl0 tl1 i0 ret0
Result.ret (list_t.ListCons x1 tl10)
| list_t.ListNil => Result.fail Error.panic
| list_t.ListNil => Result.fail Error.panic
termination_by list_nth_shared_mut_loop_pair_merge_loop_back ls0 ls1 i ret0 =>
list_nth_shared_mut_loop_pair_merge_loop_terminates T ls0 ls1 i
decreasing_by list_nth_shared_mut_loop_pair_merge_loop_decreases ls0 ls1 i
/- [loops::list_nth_shared_mut_loop_pair_merge] -/
def list_nth_shared_mut_loop_pair_merge_back
(T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) (ret0 : T) :
Result (list_t T)
:=
list_nth_shared_mut_loop_pair_merge_loop_back T ls0 ls1 i ret0
|
