Moved lectures to fit BS

index.html

@@ -65,7 +65,7 @@ <h3>Web (Giraffe)</h3>
 
 				<section>
 					<h1>Lecture 10</h1>
-					<h3></h3>
+					<h3>Efficiency</h3>
 					<div>Can be found <a href="./slides/10/">here</a></div>
 				</section>
 				<section>

slides/105/efficiency.md → slides/10/efficiency.md

@@ -389,221 +389,6 @@ let foldBack f m x =
 ```
 
 
-
-----
-
-### Performance
-
-```fsharp
-type A = {X: int; Y: int}
-// vs
-[<Struct>]
-type B = {X: int; Y: int}
-```
-
-* Type `B` is 16 bytes smaller, not having `8B` Object header + `8B` vTabel
-* `B` is passed as values, therefore not always faster
-
-----
-
-### Padding
-
-```fsharp
-type A = {X: int; Y: int}
-type B = {X: int; Y: int; Y: int}
-```
-
-* Here `B` is padded with 4 bytes extra, from the .NET Allocator
-
-
-----
-
-### Union types
-
-![Discriminated unions](./img/class-vs-struct-union-1.png)
-
-
-----
-
-### Immutable data structures
-
-Records, unions, Lists etc etc.
-
-* Fewer movings parts
-* Thread-safe by default
-* % Not nessesary performance optimal.
-    * Change to use mutable datastructures within a module/function to gain performance.
-
-----
-
-### Other things to consider
-
-* Hardware, L1, L2, caches
-* OS pointer sizes 32/64b
-* Inlining functions
-
-F# can be very [performant](https://www.youtube.com/@FastFSharp) - used by stock companies because of this and its safety. But it requires work and knowledge about .Net Il, Hardware and F# of course.
-
----
-
-### Amortized bounds
-
-* An extension to the Big-O notation from DOA
-* Used to analysis average run time
-    * Usually used when some operations are fast and other are slow
-
-* C# List is an example, its worst case bounds
-    * insert: `$ O(n) $` -- **why?**
-    * lookup: `$ O(1) $`
-    * delete: `$ O(1) $`
-
-----
-
-### C# List analysis over time
-
-* `$ \rightarrow $` `n` insertions are `$ O(n^2) $` worst case
-* You can make the amortized analysis that shows <!-- .element: class="fragment"  data-fragment-index="1" -->
-    * `n` insertions are `$ O(2n) $` <!-- .element: class="fragment"  data-fragment-index="1" -->
-    * So amortized bounds are `$ O(1) $` for all operations <!-- .element: class="fragment"  data-fragment-index="1" -->
-* See references for detailed analysis<!-- .element: class="fragment"  data-fragment-index="1" -->
-
-
----
-
-## Queue
-
-![Queue](./img/queue.jpg "Queue") <!-- .element style="width:800px;" -->
-
-----
-
-### Definition and operation
-
-```fsharp [5-10]
-module Queue
-
-type Queue<'a> = 'a list * 'a list
-
-val empty:   Queue<'a>
-val isEmpty: Queue<'a> -> bool
-
-val cons:    'a -> Queue<'a> -> Queue<'a>
-val head:    Queue<'a> -> 'a
-val tail:    Queue<'a> -> Queue<'a>
-```
-
-* Could be done with a single list <!-- .element: class="fragment" -->
-
-----
-
-### Operation implementations
-
-```fsharp [2,7|3,8|4,9]
-let rec head = function
-    | ([], []) -> raise (ArgumentException "Empty")
-    | ([], r)  -> head (List.rev r, [])
-    | (l, _)   -> List.head l 
-    
-let rec tail = function
-    | ([], []) -> raise (ArgumentException "Empty")
-    | ([], r)  -> tail (List.rev r, [])
-    | (l, r)   -> (List.tail l, r)
-```
-
-----
-
-
-### Using lazy evaluation
-
-* To optimize our queue [https://en.wikipedia.org/wiki/Chris_Okasaki](C. Okasaki) proposes to use lazy lists.
-    * Almost like `seq`` in F#
-
-```fsharp
-module LazyQueue
-
-type LazyQueue<'a> = seq<'a> * seq<'a>
-
-val empty:   LazyQueue<'a>
-val isEmpty: LazyQueue<'a> -> bool
-
-val cons:    'a -> LazyQueue<'a> -> LazyQueue<'a>
-val head:    LazyQueue<'a> -> 'a
-val tail:    LazyQueue<'a> -> LazyQueue<'a>
-```
-<!-- .element: class="fragment" -->
-
-----
-
-### Lazy queue impl (1/2)
-
-So here we utilises that `Seq` is lazy
-
-```fsharp
-let l' = Seq.append l r
-```
-
-This do not evalute `r` before its needed
-
-----
-
-### Lazy queue impl (2/2)
-
-```fsharp
-let l` = Seq.append l (Seq.rev r)
-```
-
-1. since append is lazy, we need to do `Seq.rev` incrementally. 
-2. so do one step of `Seq.rev` for each step of append   
-3. we then need the invariant `Seq.length r <= Seq.length l`
-
-Note:
-Seq.rev - will reverse the list in one go
-
-```fsharp
-// https://github.com/fsharp/fsharp/blob/577d06b9ec7192a6adafefd09ade0ed10b13897d/src/fsharp/FSharp.Core/seq.fs#L1424
-let rev source =
-    checkNonNull "source" source
-    mkDelayedSeq (fun () ->
-        let array = source |> toArray
-        Array.Reverse array
-        array :> seq<_>)
-```
-
-----
-
-### Incremental rotation
-
-```fsharp
-let rec rot (l, r, a) = match Seq.length l
-    | 0 -> (Seq.head r) :: a    
-    | 1 -> (Seq.head l) :: (rot
-                (Seq.tail l, Seq.tail r, Seq.head r :: a))
-```
-
-\* Not battle tested code
-
-\*\* Not optimized code
-
-----
-
-### Bounds
-
-* Amortized bounds for all operations are still `$ O(1) $`
-* Worst case `$ O(log n) $`
-
-----
-
-### Amortization
-
-* Not useful in `realtime` systems
-    * why?
-
-----
-
-### Deque idea
-
-![Deque](./img/deque.png "Deque")
-
-
 ---
 
 ## References