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#!
[
allow
(
dead_code
)
]
// An ordered collection of `T`s.
enum
BinaryTree
<
T
>
{
Empty
,
NonEmpty
(
Box
<
TreeNode
<
T
>
>
)
,
}
// A part of a BinaryTree.
struct
TreeNode
<
T
>
{
element
:
T
,
left
:
BinaryTree
<
T
>
,
right
:
BinaryTree
<
T
>
,
}
#
[
test
]
fn
binary_tree_size
(
)
{
use
std
::
mem
::
size_of
;
let
word =
size_of
::
<
usize
>
(
)
;
assert_eq
!
(
size_of
::
<
BinaryTree
<
String
>>
(
)
,
word
)
;
type
Triple
=
(
&
'
static
str
,
BinaryTree
<
&
'
static
str
>
,
BinaryTree
<
&
'
static
str
>
)
;
assert_eq
!
(
size_of
::
<
Triple
>
(
)
,
4
*
word
)
;
}
#
[
test
]
fn
build_binary_tree
(
)
{
use
self
::
BinaryTree
::
*
;
let
jupiter_tree =
NonEmpty
(
Box
::
new
(
TreeNode
{
element
:
"Jupiter"
,
left
:
Empty
,
right
:
Empty
,
}
)
)
;
let
mercury_tree =
NonEmpty
(
Box
::
new
(
TreeNode
{
element
:
"Mercury"
,
left
:
Empty
,
right
:
Empty
,
}
)
)
;
let
mars_tree =
NonEmpty
(
Box
::
new
(
TreeNode
{
element
:
"Mars"
,
left
:
jupiter_tree
,
right
:
mercury_tree
,
}
)
)
;
let
venus_tree =
NonEmpty
(
Box
::
new
(
TreeNode
{
element
:
"Venus"
,
left
:
Empty
,
right
:
Empty
,
}
)
)
;
let
uranus_tree =
NonEmpty
(
Box
::
new
(
TreeNode
{
element
:
"Uranus"
,
left
:
Empty
,
right
:
venus_tree
,
}
)
)
;
let
tree =
NonEmpty
(
Box
::
new
(
TreeNode
{
element
:
"Saturn"
,
left
:
mars_tree
,
right
:
uranus_tree
,
}
)
)
;
assert_eq
!
(
tree
.
walk
(
)
,
vec!
[
"Jupiter"
,
"Mars"
,
"Mercury"
,
"Saturn"
,
"Uranus"
,
"Venus"
]
)
;
}
impl
<
T
:
Clone
>
BinaryTree
<
T
>
{
fn
walk
(
&
self
)
->
Vec
<
T
>
{
match
*
self
{
BinaryTree
::
Empty
=>
vec
!
[
]
,
BinaryTree
::
NonEmpty
(
ref
boxed
)
=>
{
let
mut
result = boxed
.
left
.
walk
(
)
;
result
.
push
(
boxed
.
element
.
clone
(
)
)
;
result
.
extend
(
boxed
.
right
.
walk
(
)
)
;
result
}
}
}
}
impl
<
T
:
Ord
>
BinaryTree
<
T
>
{
fn
add
(
&
mut
self
,
value
:
T
)
{
match
*
self
{
BinaryTree
::
Empty
=>
{
*
self
=
BinaryTree
::
NonEmpty
(
Box
::
new
(
TreeNode
{
element
:
value
,
left
:
BinaryTree
::
Empty
,
right
:
BinaryTree
::
Empty
,
}
)
)
}
BinaryTree
::
NonEmpty
(
ref
mut
node
)
=>
{
if
value <= node
.
element
{
node
.
left
.
add
(
value
)
;
}
else
{
node
.
right
.
add
(
value
)
;
}
}
}
}
}
#
[
test
]
fn
test_add_method_1
(
)
{
let
planets =
vec
!
[
"Mercury"
,
"Venus"
,
"Mars"
,
"Jupiter"
,
"Saturn"
,
"Uranus"
]
;
let
mut
tree =
BinaryTree
::
Empty
;
for
planet
in
planets
{
tree
.
add
(
planet
)
;
}
assert_eq
!
(
tree
.
walk
(
)
,
vec!
[
"Jupiter"
,
"Mars"
,
"Mercury"
,
"Saturn"
,
"Uranus"
,
"Venus"
]
)
;
}
#
[
test
]
fn
test_add_method_2
(
)
{
let
mut
tree =
BinaryTree
::
Empty
;
tree
.
add
(
"Mercury"
)
;
tree
.
add
(
"Venus"
)
;
for
planet
in
vec
!
[
"Mars"
,
"Jupiter"
,
"Saturn"
,
"Uranus"
]
{
tree
.
add
(
planet
)
;
}
assert_eq
!
(
tree
.
walk
(
)
,
vec!
[
"Jupiter"
,
"Mars"
,
"Mercury"
,
"Saturn"
,
"Uranus"
,
"Venus"
]
)
;
}
// From chapter 15: Iterators
use
self
::
BinaryTree
::
*
;
// The state of an in-order traversal of a `BinaryTree`.
struct
TreeIter
<
'
a
,
T
>
{
// A stack of references to tree nodes. Since we use `Vec`'s
// `push` and `pop` methods, the top of the stack is the end of the
// vector.
//
// The node the iterator will visit next is at the top of the stack,
// with those ancestors still unvisited below it. If the stack is empty,
// the iteration is over.
unvisited
:
Vec
<
&
'
a
TreeNode
<
T
>
>
}
impl
<
'
a
,
T
:
'
a
>
TreeIter
<
'
a
,
T
>
{
fn
push_left_edge
(
&
mut
self
,
mut
tree
:
&
'
a
BinaryTree
<
T
>
)
{
while
let
NonEmpty
(
ref
node
)
=
*
tree
{
self
.
unvisited
.
push
(
node
)
;
tree =
&
node
.
left
;
}
}
}
impl
<
T
>
BinaryTree
<
T
>
{
fn
iter
(
&
self
)
->
TreeIter
<
T
>
{
let
mut
iter =
TreeIter
{
unvisited
:
Vec
::
new
(
)
}
;
iter
.
push_left_edge
(
self
)
;
iter
}
}
impl
<
'
a
,
T
:
'
a
>
IntoIterator
for
&
'
a
BinaryTree
<
T
>
{
type
Item
=
&
'
a
T
;
type
IntoIter
=
TreeIter
<
'
a
,
T
>
;
fn
into_iter
(
self
)
->
Self
::
IntoIter
{
self
.
iter
(
)
}
}
impl
<
'
a
,
T
>
Iterator
for
TreeIter
<
'
a
,
T
>
{
type
Item
=
&
'
a
T
;
fn
next
(
&
mut
self
)
->
Option
<
&
'
a
T
>
{
// Find the node this iteration must produce,
// or finish the iteration. (Use the `?` operator
// to return immediately if it's `None`.)
let
node =
self
.
unvisited
.
pop
(
)
?
;
// After `node`, the next thing we produce must be the leftmost
// child in `node`'s right subtree, so push the path from here
// down. Our helper method turns out to be just what we need.
self
.
push_left_edge
(
&
node
.
right
)
;
// Produce a reference to this node's value.
Some
(
&
node
.
element
)
}
}
#
[
test
]
fn
external_iterator
(
)
{
fn
make_node
<
T
>
(
left
:
BinaryTree
<
T
>
,
element
:
T
,
right
:
BinaryTree
<
T
>
)
->
BinaryTree
<
T
>
{
NonEmpty
(
Box
::
new
(
TreeNode
{
left
,
element
,
right
}
)
)
}
// Build a small tree.
let
mut
tree =
BinaryTree
::
Empty
;
tree
.
add
(
"jaeger"
)
;
tree
.
add
(
"robot"
)
;
tree
.
add
(
"droid"
)
;
tree
.
add
(
"mecha"
)
;
// Iterate over it.
let
mut
v =
Vec
::
new
(
)
;
for
kind
in
&
tree
{
v
.
push
(
*
kind
)
;
}
assert_eq
!
(
v
,
[
"droid"
,
"jaeger"
,
"mecha"
,
"robot"
]
)
;
assert_eq
!
(
tree
.
iter
(
)
.
map
(
|name| format!
(
"mega-{}"
,
name
)
)
.
collect
::
<
Vec
<_>>
(
)
,
vec!
[
"mega-droid"
,
"mega-jaeger"
,
"mega-mecha"
,
"mega-robot"
]
)
;
let
mut
iterator =
(
&
tree
)
.
into_iter
(
)
;
assert_eq
!
(
iterator
.
next
(
)
,
Some
(
&
"droid"
)
)
;
assert_eq
!
(
iterator
.
next
(
)
,
Some
(
&
"jaeger"
)
)
;
assert_eq
!
(
iterator
.
next
(
)
,
Some
(
&
"mecha"
)
)
;
assert_eq
!
(
iterator
.
next
(
)
,
Some
(
&
"robot"
)
)
;
assert_eq
!
(
iterator
.
next
(
)
,
None
)
;
// Construct a tree by hand.
let
left_subtree =
make_node
(
Empty
,
"mecha"
,
Empty
)
;
let
right_subtree =
make_node
(
make_node
(
Empty
,
"droid"
,
Empty
)
,
"robot"
,
Empty
)
;
let
tree =
make_node
(
left_subtree
,
"Jaeger"
,
right_subtree
)
;
// Try initializing the iterator ourselves and see if it runs.
let
mut
v =
Vec
::
new
(
)
;
let
mut
iter =
TreeIter
{
unvisited
:
vec
!
[
]
}
;
iter
.
push_left_edge
(
&
tree
)
;
for
kind
in
iter
{
v
.
push
(
*
kind
)
;
}
assert_eq
!
(
v
,
[
"mecha"
,
"Jaeger"
,
"droid"
,
"robot"
]
)
;
// Iterate by shared reference.
let
mut
v =
Vec
::
new
(
)
;
for
kind
in
&
tree
{
v
.
push
(
*
kind
)
;
}
assert_eq
!
(
v
,
[
"mecha"
,
"Jaeger"
,
"droid"
,
"robot"
]
)
;
// Iterate, taking ownership.
let
mut
v =
Vec
::
new
(
)
;
let
mut
state = tree
.
into_iter
(
)
;
while
let
Some
(
kind
)
= state
.
next
(
)
{
v
.
push
(
*
kind
)
;
}
assert_eq
!
(
v
,
[
"mecha"
,
"Jaeger"
,
"droid"
,
"robot"
]
)
;
}
#
[
test
]
fn
other_cloned
(
)
{
use
std
::
collections
::
BTreeSet
;
let
mut
set =
BTreeSet
::
new
(
)
;
set
.
insert
(
"mecha"
)
;
set
.
insert
(
"Jaeger"
)
;
set
.
insert
(
"droid"
)
;
set
.
insert
(
"robot"
)
;
assert_eq
!
(
set
.
iter
(
)
.
cloned
(
)
.
collect
::
<
Vec
<_>>
(
)
,
[
"Jaeger"
,
"droid"
,
"mecha"
,
"robot"
]
)
;
}
#
[
test
]
fn
fuzz
(
)
{
fn
make_random_tree
(
p
:
f32
)
->
BinaryTree
<
i32
>
{
use
rand
::
prelude
::
*
;
use
rand
::
thread_rng
;
use
rand
::
rngs
::
ThreadRng
;
fn
make
(
p
:
f32
,
next
:
&
mut
i32
,
rng
:
&
mut
ThreadRng
)
->
BinaryTree
<
i32
>
{
if
rng
.
gen_range
(
0.0
..
1.0
)
> p
{
Empty
}
else
{
let
left =
make
(
p
*
p
,
next
,
rng
)
;
let
element =
*
next
;
*
next +=
1
;
let
right =
make
(
p
*
p
,
next
,
rng
)
;
NonEmpty
(
Box
::
new
(
TreeNode
{
left
,
element
,
right
}
)
)
}
}
make
(
p
,
&
mut
0
,
&
mut
thread_rng
(
)
)
}
for
_
in
0
..
100
{
let
tree =
make_random_tree
(
0.9999
)
;
assert
!
(
tree
.
into_iter
(
)
.
fold
(
Some
(
0
)
,
|s
,
&
i|
{
s
.
and_then
(
|expected|
if
i == expected
{
Some
(
expected+
1
)
}
else
{
None
}
)
}
)
.
is_some
(
)
)
;
}
}
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