add a "solutions" crate with a BigInt class

[rust-101.git] / src / part00.rs

diff --git a/src/part00.rs b/src/part00.rs
index 1c7d3ce6839ca051053ba77f3494f8233b25041a..c92200770debf3414acdc778a23ac88a8e3655af 100644 (file)
--- a/src/part00.rs
+++ b/src/part00.rs
@@ -1,9 +1,10 @@
-// Rust-101, Part 00: Algebraic datatypes, expressions
-// ===================================================
+// Rust-101, Part 00: Algebraic datatypes
+// ======================================

 
 // As our first piece of Rust code, we want to write a function that computes the
 
 // As our first piece of Rust code, we want to write a function that computes the

-// minimum of a list. We are going to make use of the standard library, so let's import that:
+// minimum of a list.

 
 

+// We are going to make use of the standard library, so let's import that:

 use std;
 
 // Let us start by thinking about the *type* of our function. Rust forces us to give the types of
 use std;
 
 // Let us start by thinking about the *type* of our function. Rust forces us to give the types of


@@ -16,18 +17,18 @@ use std;
 // Coming from C(++), you can think of such a type as a `union`, together with a field that
 // stores the variant of the union that's currently used.
 
 // Coming from C(++), you can think of such a type as a `union`, together with a field that
 // stores the variant of the union that's currently used.
 

+// An `enum` for "a number or nothing" could look as follows:

 enum NumberOrNothing {
     Number(i32),
     Nothing
 }
 enum NumberOrNothing {
     Number(i32),
     Nothing
 }

-

 // Notice that `i32` is the type of (signed, 32-bit) integers. To write down the type of
 // the minimum function, we need just one more ingredient: `Vec<i32>` is the type of
 // (growable) arrays of numbers, and we will use that as our list type.
 // Notice that `i32` is the type of (signed, 32-bit) integers. To write down the type of
 // the minimum function, we need just one more ingredient: `Vec<i32>` is the type of
 // (growable) arrays of numbers, and we will use that as our list type.

-// Observe how in Rust, the return type comes *after* the arguments.

 
 

-fn vec_min_try1(vec: Vec<i32>) -> NumberOrNothing {
-    // First, we need some variable to store the minimum as computed so far.
+// Observe how in Rust, the return type comes *after* the arguments.
+fn vec_min(vec: Vec<i32>) -> NumberOrNothing {
+    // In the function, we first need some variable to store the minimum as computed so far.

     // Since we start out with nothing computed, this will again be a 
     // "number or nothing":
     let mut min = NumberOrNothing::Nothing;
     // Since we start out with nothing computed, this will again be a 
     // "number or nothing":
     let mut min = NumberOrNothing::Nothing;


@@ -42,12 +43,12 @@ fn vec_min_try1(vec: Vec<i32>) -> NumberOrNothing {
         // So `el` is al element of the list. We need to update `min` accordingly, but how do we get the current
         // number in there? This is what pattern matching can do:
         match min {
         // So `el` is al element of the list. We need to update `min` accordingly, but how do we get the current
         // number in there? This is what pattern matching can do:
         match min {

+            // In this case (*arm*) of the `match`, `min` is currently nothing, so let's just make it the number `el`.

             NumberOrNothing::Nothing => {
             NumberOrNothing::Nothing => {

-                // In this case (*arm*) of the `match`, `min` is currently nothing, so let's just make it the number `el`.

                 min = NumberOrNothing::Number(el);
             },
                 min = NumberOrNothing::Number(el);
             },

+            // In this arm, `min` is currently the number `n`, so let's compute the new minimum and store it.

             NumberOrNothing::Number(n) => {
             NumberOrNothing::Number(n) => {

-                // In this arm, `min` is currently the number `n`, so let's compute the new minimum and store it.

                 let new_min = std::cmp::min(n, el);
                 min = NumberOrNothing::Number(new_min);
             }
                 let new_min = std::cmp::min(n, el);
                 min = NumberOrNothing::Number(new_min);
             }


@@ -58,64 +59,20 @@ fn vec_min_try1(vec: Vec<i32>) -> NumberOrNothing {
 }
 
 // Phew. We wrote our first Rust function! But all this `NumberOrNothing::` is getting kind of
 }
 
 // Phew. We wrote our first Rust function! But all this `NumberOrNothing::` is getting kind of

-// ugly. Can't we do that nicer? Indeed, we can: The following line tells Rust to take
-// the constructors of `NumberOrNothing` into the local namespace:
-use self::NumberOrNothing::{Number,Nothing};
-// Try moving that above the function, and removing all the occurrences `NumberOrNothing::`.
-// Things should still compile, now being much less verbose!
-
-// There is more prettification we can do. To understand how, it is important to
-// understand that Rust is an "expression-based" language. This means that most of the
-// terms you write down are not just *statements* (executing code), but *expressions*
-// (returning a value). This applies even to the body of entire functions!
-
-// For example, consider `sqr`:
-fn sqr(i: i32) -> i32 { i * i }
-// Between the curly braces, we are giving the *expression* that computes the return value.
-// So we can just write `i * i`, the expression that returns the square if `i`!
-// This is very close to how mathematicians write down functions (but with more types).
-
-// Conditionals are also just expressions. You can compare this to the ternary `? :` operator
-// from languages like C.
-fn abs(i: i32) -> i32 { if i >= 0 { i } else { -i } }
-
-// And the same applies to case distinction with `match`: Every `arm` of the match
-// gives the expression that is returned in the respective case.
-fn number_or_default(n: NumberOrNothing, default: i32) -> i32 {
-    match n {
-        Nothing => default,
-        Number(n) => n,
-    }
-}
-
-// With this fresh knowledge, let us now refactor `vec_min`.
-fn vec_min(v: Vec<i32>) -> NumberOrNothing {
-    let mut min = Nothing;
-    for e in v {
-        // First of all, notice that all we do here is compute a new value for `min`, and that it
-        // will always end up being `Number` rather than `Nothing`. In Rust, the structure of the code
-        // can express this uniformity as follows:
-        min = Number(match min {
-            Nothing => e,
-            Number(n) => std::cmp::min(n, e)
-        });
-    }
-    // The `return` keyword exists in Rust, but it is rarely used. Instead, we typically
-    // make use of the fact that the entire function body is an expression, so we can just
-    // write down the desired return value.
-    min
-}
+// ugly. Can't we do that nicer?

 
 

-// Now that's already much shorter! Make sure you can go over the code above and actually understand
-// every step of what's going on.
+// Indeed, we can: The following line tells Rust to take
+// the constructors of `NumberOrNothing` into the local namespace.
+// Try moving that above the function, and removing all the occurrences `NumberOrNothing::`.
+use self::NumberOrNothing::{Number,Nothing};

 
 // To call this function, we now just need a list. Of course, ultimately we want to ask the user for
 
 // To call this function, we now just need a list. Of course, ultimately we want to ask the user for

-// a list of numbers, but for now, let's just hard-code something:
+// a list of numbers, but for now, let's just hard-code something.

 
 

+// `vec!` is a *macro* (as you can tell from the `!`) that constructs a constant `Vec<_>` with the given
+// elements.

 fn read_vec() -> Vec<i32> {
     vec![18,5,7,1,9,27]
 fn read_vec() -> Vec<i32> {
     vec![18,5,7,1,9,27]

-    // `vec!` is a *macro* (as you can tell from the `!`) that constructs a constant `Vec` with the given
-    // elements.

 }
 
 // Finally, let's call our functions and run the code!
 }
 
 // Finally, let's call our functions and run the code!


@@ -123,6 +80,9 @@ fn read_vec() -> Vec<i32> {
 // Of course Rust can print numbers, but after calling `vec_min`, we have a `NumberOrNothing`.
 // So let's write a small helper function that prints such values.
 
 // Of course Rust can print numbers, but after calling `vec_min`, we have a `NumberOrNothing`.
 // So let's write a small helper function that prints such values.
 

+// `println!` is again a macro, where the first argument is a *format string*. For
+// now, you just need to know that `{}` is the placeholder for a value, and that Rust
+// will check at compile-time that you supplied the right number of arguments.

 fn print_number_or_nothing(n: NumberOrNothing) {
     match n {
         Nothing => println!("The number is: <nothing>"),
 fn print_number_or_nothing(n: NumberOrNothing) {
     match n {
         Nothing => println!("The number is: <nothing>"),


@@ -131,8 +91,7 @@ fn print_number_or_nothing(n: NumberOrNothing) {
 }
 
 // Putting it all together:
 }
 
 // Putting it all together:

-
-pub fn part_main() {
+pub fn main() {

     let vec = read_vec();
     let min = vec_min(vec);
     print_number_or_nothing(min);
     let vec = read_vec();
     let min = vec_min(vec);
     print_number_or_nothing(min);