Merge lima

This commit is contained in:
radrow
2020-04-02 15:32:26 +02:00
35 changed files with 3544 additions and 140 deletions
+44 -14
View File
@@ -28,10 +28,15 @@ namespace List =
h::t => h::drop_last_unsafe(t)
[] => abort("drop_last_unsafe: list empty")
/** Finds first element of `l` fulfilling predicate `p` as `Some` or `None`
* if no such element exists.
*/
function find(p : 'a => bool, l : list('a)) : option('a) = switch(l)
[] => None
h::t => if(p(h)) Some(h) else find(p, t)
/** Returns list of all indices of elements from `l` that fulfill the predicate `p`.
*/
function find_indices(p : 'a => bool, l : list('a)) : list(int) = find_indices_(p, l, 0)
private function find_indices_( p : 'a => bool
, l : list('a)
@@ -60,8 +65,15 @@ namespace List =
_::t => length_(t, acc + 1)
/** Creates an ascending sequence of all integer numbers
* between `a` and `b` (including `a` and `b`)
*/
function from_to(a : int, b : int) : list(int) = [a..b]
/** Creates an ascending sequence of integer numbers betweeen
* `a` and `b` jumping by given `step`. Includes `a` and takes
* `b` only if `(b - a) mod step == 0`. `step` should be bigger than 0.
*/
function from_to_step(a : int, b : int, s : int) : list(int) =
from_to_step_(a, b - (b-a) mod s, s, [])
private function from_to_step_(a : int, b : int, s : int, acc : list(int)) : list(int) =
@@ -69,8 +81,8 @@ namespace List =
else from_to_step_(a, b - s, s, b::acc)
/* Unsafe. Replaces `n`th element of `l` with `e`. Crashes on over/underflow */
/** Unsafe. Replaces `n`th element of `l` with `e`. Crashes on over/underflow
*/
function replace_at(n : int, e : 'a, l : list('a)) : list('a) =
if(n<0) abort("insert_at underflow") else replace_at_(n, e, l)
private function replace_at_(n : int, e : 'a, l : list('a)) : list('a) =
@@ -79,7 +91,8 @@ namespace List =
h::t => if (n == 0) e::t
else h::replace_at_(n-1, e, t)
/* Unsafe. Adds `e` to `l` to be its `n`th element. Crashes on over/underflow */
/** Unsafe. Adds `e` to `l` to be its `n`th element. Crashes on over/underflow
*/
function insert_at(n : int, e : 'a, l : list('a)) : list('a) =
if(n<0) abort("insert_at underflow") else insert_at_(n, e, l)
private function insert_at_(n : int, e : 'a, l : list('a)) : list('a) =
@@ -88,6 +101,9 @@ namespace List =
[] => abort("insert_at overflow")
h::t => h::insert_at_(n-1, e, t)
/** Assuming that cmp represents `<` comparison, inserts `x` before
* the first element in the list `l` which is greater than it
*/
function insert_by(cmp : (('a, 'a) => bool), x : 'a, l : list('a)) : list('a) =
switch(l)
[] => [x]
@@ -122,6 +138,8 @@ namespace List =
[] => []
h::t => f(h)::map(f, t)
/** Effectively composition of `map` and `flatten`
*/
function flat_map(f : 'a => list('b), l : list('a)) : list('b) =
ListInternal.flat_map(f, l)
@@ -131,7 +149,8 @@ namespace List =
let rest = filter(p, t)
if(p(h)) h::rest else rest
/* Take up to `n` first elements */
/** Take up to `n` first elements
*/
function take(n : int, l : list('a)) : list('a) =
if(n < 0) abort("Take negative number of elements") else take_(n, l)
private function take_(n : int, l : list('a)) : list('a) =
@@ -140,7 +159,8 @@ namespace List =
[] => []
h::t => h::take_(n-1, t)
/* Drop up to `n` first elements */
/** Drop up to `n` first elements
*/
function drop(n : int, l : list('a)) : list('a) =
if(n < 0) abort("Drop negative number of elements") else drop_(n, l)
private function drop_(n : int, l : list('a)) : list('a) =
@@ -149,17 +169,22 @@ namespace List =
[] => []
h::t => drop_(n-1, t)
/* Get the longest prefix of a list in which every element matches predicate `p` */
/** Get the longest prefix of a list in which every element
* matches predicate `p`
*/
function take_while(p : 'a => bool, l : list('a)) : list('a) = switch(l)
[] => []
h::t => if(p(h)) h::take_while(p, t) else []
/* Drop elements from `l` until `p` holds */
/** Drop elements from `l` until `p` holds
*/
function drop_while(p : 'a => bool, l : list('a)) : list('a) = switch(l)
[] => []
h::t => if(p(h)) drop_while(p, t) else l
/* Splits list into two lists of elements that respectively match and don't match predicate `p` */
/** Splits list into two lists of elements that respectively
* match and don't match predicate `p`
*/
function partition(p : 'a => bool, l : list('a)) : (list('a) * list('a)) = switch(l)
[] => ([], [])
h::t =>
@@ -183,7 +208,9 @@ namespace List =
function product(l : list(int)) : int = foldl((a, b) => a * b, 1, l)
/* Zips two list by applying bimapping function on respective elements. Drops longer tail. */
/** Zips two list by applying bimapping function on respective elements.
* Drops the tail of the longer list.
*/
private function zip_with( f : ('a, 'b) => 'c
, l1 : list('a)
, l2 : list('b)
@@ -191,7 +218,9 @@ namespace List =
(h1::t1, h2::t2) => f(h1, h2)::zip_with(f, t1, t2)
_ => []
/* Zips two lists into list of pairs. Drops longer tail. */
/** Zips two lists into list of pairs.
* Drops the tail of the longer list.
*/
function zip(l1 : list('a), l2 : list('b)) : list('a * 'b) = zip_with((a, b) => (a, b), l1, l2)
function unzip(l : list('a * 'b)) : (list('a) * list('b)) = switch(l)
@@ -207,15 +236,16 @@ namespace List =
h::t => switch (partition((x) => lesser_cmp(x, h), t))
(lesser, bigger) => sort(lesser_cmp, lesser) ++ h::sort(lesser_cmp, bigger)
/** Puts `delim` between every two members of the list
*/
function intersperse(delim : 'a, l : list('a)) : list('a) = switch(l)
[] => []
[e] => [e]
h::t => h::delim::intersperse(delim, t)
/** Effectively a zip with an infinite sequence of natural numbers
*/
function enumerate(l : list('a)) : list(int * 'a) = enumerate_(l, 0)
private function enumerate_(l : list('a), n : int) : list(int * 'a) = switch(l)
[] => []
h::t => (n, h)::enumerate_(t, n + 1)
h::t => (n, h)::enumerate_(t, n + 1)