Merge pull request #42 from zdyxry/master

[rust-101.git] / src / part05.rs

diff --git a/src/part05.rs b/src/part05.rs
index 03c10d30fb3452ec1cf4eb01e81c620f884104a1..7ad87545a92c80a5b21ef507b2bd26f9e40c3fab 100644 (file)
--- a/src/part05.rs
+++ b/src/part05.rs
@@ -2,144 +2,155 @@
 // ========================
 
 // ## Big Numbers
 // ========================
 
 // ## Big Numbers

-// In the course of the next few parts, we are going to build a data-structure for computations with
-// *big* numbers. We would like to not have an upper bound to how large these numbers can get, with
-// the memory of the machine being the only limit.
-// 
-// We start by deciding how to represent such big numbers. One possibility here is
-// to use a vector "digits" of the number. This is like "1337" being a vector of four digits (1, 3, 3, 7),
-// except that we will use `u64` as type of our digits, meaning we have 2^64 individual digits. Now we just
-// have to decide the order in which we store numbers. I decided that we will store the least significant
-// digit first. This means that "1337" would actually become (7, 3, 3, 1).<br/>
-// Finally, we declare that there must not be any trailing zeros (corresponding to
-// useless leading zeros in our usual way of writing numbers). This is to ensure that
-// the same number can only be stored in one way.

 
 

-// To write this down in Rust, we use a `struct`, which is a lot like structs in C:
-// Just a bunch of named fields. Every field can be private to the current module (which is the default),
-// or public (which is indicated by a `pub` in front of the name). For the sake of the tutorial, we make
-// `data` public - otherwise, the next parts of this course could not work on `BigInt`s. Of course, in a
-// real program, one would make the field private to ensure that the invariant (no trailing zeros) is maintained.
+//@ In the course of the next few parts, we are going to build a data-structure for computations
+//@ with *big* numbers. We would like to not have an upper bound to how large these numbers can
+//@ get, with the memory of the machine being the only limit.
+//@
+//@ We start by deciding how to represent such big numbers. One possibility here is to use a vector
+//@ "digits" of the number. This is like "1337" being a vector of four digits (1, 3, 3, 7), except
+//@ that we will use `u64` as type of our digits, meaning we have 2^64 individual digits. Now we
+//@ just have to decide the order in which we store numbers. I decided that we will store the least
+//@ significant digit first. This means that "1337" would actually become (7, 3, 3, 1). <br/>
+//@ Finally, we declare that there must not be any trailing zeros (corresponding to
+//@ useless leading zeros in our usual way of writing numbers). This is to ensure that
+//@ the same number can only be stored in one way.
+
+//@ To write this down in Rust, we use a `struct`, which is a lot like structs in C:
+//@ Just a bunch of named fields. Every field can be private to the current module (which is the
+//@ default), or public (which is indicated by a `pub` in front of the name). For the sake of the
+//@ tutorial, we make `data` public - otherwise, the next parts of this course could not work on
+//@ `BigInt`s. Of course, in a real program, one would make the field private to ensure that the
+//@ invariant (no trailing zeros) is maintained.

 pub struct BigInt {
 pub struct BigInt {

-    pub data: Vec<u64>,
+    pub data: Vec<u64>, // least significant digit first, no trailing zeros

 }
 
 // Now that we fixed the data representation, we can start implementing methods on it.
 impl BigInt {
 }
 
 // Now that we fixed the data representation, we can start implementing methods on it.
 impl BigInt {

-    // Let's start with a constructor, creating a `BigInt` from an ordinary integer.
-    // To create an instance of a struct, we write its name followed by a list of
-    // fields and initial values assigned to them.
+    //@ Let's start with a constructor, creating a `BigInt` from an ordinary integer.
+    //@ To create an instance of a struct, we write its name followed by a list of
+    //@ fields and initial values assigned to them.

     pub fn new(x: u64) -> Self {
         if x == 0 {
     pub fn new(x: u64) -> Self {
         if x == 0 {

-            BigInt { data: vec![] }
+            BigInt { data: vec![] }                                 /*@*/

         } else {
         } else {

-            BigInt { data: vec![x] }
+            BigInt { data: vec![x] }                                /*@*/

         }
     }
 
         }
     }
 

-    // It can often be useful to encode the invariant of a data-structure in code, so here
-    // is a check that detects useless trailing zeros.
+    //@ It can often be useful to encode the invariant of a data-structure in code, so here
+    //@ is a check that detects useless trailing zeros.

     pub fn test_invariant(&self) -> bool {
         if self.data.len() == 0 {
             true
         } else {
     pub fn test_invariant(&self) -> bool {
         if self.data.len() == 0 {
             true
         } else {

-            self.data[self.data.len() - 1] != 0
+            self.data[self.data.len() - 1] != 0                     /*@*/

         }
     }
 
         }
     }
 

-    // We can convert any vector of digits into a number, by removing trailing zeros. The `mut`
-    // declaration for `v` here is just like the one in `let mut ...`, it says that we will locally
-    // change the vector `v`.
+    // We can convert any little-endian vector of digits (i.e., least-significant digit first) into
+    // a number, by removing trailing zeros. The `mut` declaration for `v` here is just like the
+    // one in `let mut ...`: We completely own `v`, but Rust still asks us to make our intention of
+    // modifying it explicit. This `mut` is *not* part of the type of `from_vec` - the caller has
+    // to give up ownership of `v` anyway, so they don't care anymore what you do to it.

     // 
     // **Exercise 05.1**: Implement this function.
     // 
     // 
     // **Exercise 05.1**: Implement this function.
     // 

-    // *Hint*: You can use `pop()` to remove the last element of a vector.
+    // *Hint*: You can use `pop` to remove the last element of a vector.

     pub fn from_vec(mut v: Vec<u64>) -> Self {
         unimplemented!()
     }
 }
 
 // ## Cloning
     pub fn from_vec(mut v: Vec<u64>) -> Self {
         unimplemented!()
     }
 }
 
 // ## Cloning

-// If you have a close look at the type of `BigInt::from_vec`, you will notice that it
-// consumes the vector `v`. The caller hence loses access to its vector. There is however something
-// we can do if we don't want that to happen: We can explicitly `clone` the vector,
-// which means that a full (or *deep*) copy will be performed. Technically,
-// `clone` takes a borrowed vector, and returns a fully owned one.
+//@ If you take a close look at the type of `BigInt::from_vec`, you will notice that it consumes
+//@ the vector `v`. The caller hence loses access to its vector. However, there is something we can
+//@ do if we don't want that to happen: We can explicitly `clone` the vector, which means that a
+//@ full (or *deep*) copy will be performed. Technically, `clone` takes a borrowed vector in the
+//@ form of a shared reference, and returns a fully owned one.

 fn clone_demo() {
     let v = vec![0,1 << 16];
     let b1 = BigInt::from_vec((&v).clone());
     let b2 = BigInt::from_vec(v);
 }
 fn clone_demo() {
     let v = vec![0,1 << 16];
     let b1 = BigInt::from_vec((&v).clone());
     let b2 = BigInt::from_vec(v);
 }

-// Rust has special treatment for methods that borrow its `self` argument (like `clone`, or
-// like `test_invariant` above): It is not necessary to explicitly borrow the receiver of the
-// method. Hence you could replace `(&v).clone()` by `v.clone()` above. Just try it!
+//@ Rust has special treatment for methods that borrow their `self` argument (like `clone`, or
+//@ like `test_invariant` above): It is not necessary to explicitly borrow the receiver of the
+//@ method. Hence you could replace `(&v).clone()` by `v.clone()` above. Just try it!

 
 

-// To be clonable is a property of a type, and as such, naturally expressed with a trait.
-// In fact, Rust already comes with a trait `Clone` for exactly this purpose. We can hence
-// make our `BigInt` clonable as well.
+//@ To be clonable is a property of a type, and as such, naturally expressed with a trait.
+//@ In fact, Rust already comes with a trait `Clone` for exactly this purpose. We can hence
+//@ make our `BigInt` clonable as well.

 impl Clone for BigInt {
     fn clone(&self) -> Self {
 impl Clone for BigInt {
     fn clone(&self) -> Self {

-        BigInt { data: self.data.clone() }
+        BigInt { data: self.data.clone() }                          /*@*/

     }
 }
     }
 }

-// Making a type clonable is such a common exercise that Rust can even help you doing it:
-// If you add `#[derive(Clone)]` right in front of the definition of `BigInt`, Rust will
-// generate an implementation of `Clone` that simply clones all the fields. Try it!
-// These `#[...]` annotations at types (and functions, modules, crates) are called *attributes*.
-// We will see some more examples of attributes later.
+//@ Making a type clonable is such a common exercise that Rust can even help you doing it:
+//@ If you add `#[derive(Clone)]` right in front of the definition of `BigInt`, Rust will
+//@ generate an implementation of `Clone` that simply clones all the fields. Try it!
+//@ These `#[...]` annotations at types (and functions, modules, crates) are called *attributes*.
+//@ We will see some more examples of attributes later.

 
 

-// We can also make the type `SomethingOrNothing<T>` implement `Clone`. However, that
-// can only work if `T` is `Clone`! So we have to add this bound to `T` when we introduce
-// the type variable.
+// We can also make the type `SomethingOrNothing<T>` implement `Clone`.
+//@ However, that can only work if `T` is `Clone`! So we have to add this bound to `T` when we
+//@ introduce the type variable.

 use part02::{SomethingOrNothing,Something,Nothing};
 impl<T: Clone> Clone for SomethingOrNothing<T> {
     fn clone(&self) -> Self {
 use part02::{SomethingOrNothing,Something,Nothing};
 impl<T: Clone> Clone for SomethingOrNothing<T> {
     fn clone(&self) -> Self {

-        match *self {
-            Nothing => Nothing,
-            // In the second arm of the match, we need to talk about the value `v`
-            // that's stored in `self`. However, if we would write the pattern as
-            // `Something(v)`, that would indicate that we *own* `v` in the code
-            // after the arrow. That can't work though, we have to leave `v` owned by
-            // whoever called us - after all, we don't even own `self`, we just borrowed it.
-            // By writing `Something(ref v)`, we borrow `v` for the duration of the match
-            // arm. That's good enough for cloning it.
-            Something(ref v) => Something(v.clone()),
-        }
+        match *self {                                               /*@*/
+            Nothing => Nothing,                                     /*@*/
+            //@ In the second arm of the match, we need to talk about the value `v`
+            //@ that's stored in `self`. However, if we were to write the pattern as
+            //@ `Something(v)`, that would indicate that we *own* `v` in the code
+            //@ after the arrow. That can't work though, we have to leave `v` owned by
+            //@ whoever called us - after all, we don't even own `self`, we just borrowed it.
+            //@ By writing `Something(ref v)`, we borrow `v` for the duration of the match
+            //@ arm. That's good enough for cloning it.
+            Something(ref v) => Something(v.clone()),               /*@*/
+        }                                                           /*@*/

     }
 }
     }
 }

-// Again, Rust will generate this implementation automatically if you add
-// `#[derive(Clone)]` right before the definition of `SomethingOrNothing`.
+//@ Again, Rust will generate this implementation automatically if you add
+//@ `#[derive(Clone)]` right before the definition of `SomethingOrNothing`.
+
+// **Exercise 05.2**: Write some more functions on `BigInt`. What about a function that returns the
+// number of digits? The number of non-zero digits? The smallest/largest digit? Of course, these
+// should all take `self` as a shared reference (i.e., in borrowed form).

 
 // ## Mutation + aliasing considered harmful (part 2)
 
 // ## Mutation + aliasing considered harmful (part 2)

-// Now that we know how to borrow a part of an `enum` (like `v` above), there's another example for why we
-// have to rule out mutation in the presence of aliasing. First, we define an `enum` that can hold either
-// a number, or a string.
+//@ Now that we know how to create references to contents of an `enum` (like `v` above), there's
+//@ another example we can look at for why we have to rule out mutation in the presence of
+//@ aliasing. First, we define an `enum` that can hold either a number, or a string.

 enum Variant {
     Number(i32),
     Text(String),
 }
 enum Variant {
     Number(i32),
     Text(String),
 }

-// Now consider the following piece of code. Like above, `n` will be a borrow of a part of `var`,
-// and since we wrote `ref mut`, the borrow will be mutable. In other words, right after the match, `ptr`
-// points to the number that's stored in `var`, where `var` is a `Number`. Remember that `_` means
-// "we don't care".
+//@ Now consider the following piece of code. Like above, `n` will be a reference to a part of
+//@ `var`, and since we wrote `ref mut`, the reference will be unique and mutable. In other words,
+//@ right after the match, `ptr` points to the number that's stored in `var`, where `var` is a
+//@ `Number`. Remember that `_` means "we don't care".

 fn work_on_variant(mut var: Variant, text: String) {
     let mut ptr: &mut i32;
     match var {
         Variant::Number(ref mut n) => ptr = n,
         Variant::Text(_) => return,
     }
 fn work_on_variant(mut var: Variant, text: String) {
     let mut ptr: &mut i32;
     match var {
         Variant::Number(ref mut n) => ptr = n,
         Variant::Text(_) => return,
     }

-    /* var = Variant::Text(text); */
+    /* var = Variant::Text(text); */                                /* BAD! */

     *ptr = 1337;
 }
     *ptr = 1337;
 }

-// Now, imagine what would happen if we were permitted to also mutate `var`. We could, for example,
-// make it a `Text`. However, `ptr` still points to the old location! Hence `ptr` now points somewhere
-// into the representation of a `String`. By changing `ptr`, we manipulate the string in completely
-// unpredictable ways, and anything could happen if we were to use it again! (Technically, the first field
-// of a `String` is a pointer to its character data, so by overwriting that pointer with an integer,
-// we make it a completely invalid address. When the destructor of `var` runs, it would try to deallocate
-// that address, and Rust would eat your laundry - or whatever.)
-// 
-// I hope this example clarifies why Rust has to rule out mutation in the presence of aliasing *in general*,
-// not just for the specific case of a buffer being reallocated, and old pointers becoming hence invalid.
+//@ Now, imagine what would happen if we were permitted to also mutate `var`. We could, for
+//@ example, make it a `Text`. However, `ptr` still points to the old location! Hence `ptr` now
+//@ points somewhere into the representation of a `String`. By changing `ptr`, we manipulate the
+//@ string in completely unpredictable ways, and anything could happen if we were to use it again!
+//@ (Technically, the first field of a `String` is a pointer to its character data, so by
+//@ overwriting that pointer with an integer, we make it a completely invalid address. When the
+//@ destructor of `var` runs, it would try to deallocate that address, and Rust would eat your
+//@ laundry - or whatever.)
+//@ 
+//@ I hope this example clarifies why Rust has to rule out mutation in the presence of aliasing
+//@ *in general*, not just for the specific case of a buffer being reallocated, and old pointers
+//@ becoming hence invalid.

 
 

-// [index](main.html) | [previous](part04.html) | [next](part06.html)
+//@ [index](main.html) | [previous](part04.html) | [raw source](workspace/src/part05.rs) |
+//@ [next](part06.html)