Make.List
List operations.
Some functions are flagged as not tail-recursive. A tail-recursive function uses constant stack space, while a non-tail-recursive function uses stack space proportional to the length of its list argument, which can be a problem with very long lists. When the function takes several list arguments, an approximate formula giving stack usage (in some unspecified constant unit) is shown in parentheses.
The above considerations can usually be ignored if your lists are not longer than about 10000 elements.
Compare the lengths of two lists. compare_lengths l1 l2
is equivalent to compare (length l1) (length l2)
, except that the computation stops after itering on the shortest list.
Compare the length of a list to an integer. compare_length_with l n
is equivalent to compare (length l) n
, except that the computation stops after at most n
iterations on the list.
Return the first element of the given list. Raise Failure "hd"
if the list is empty.
Return the given list without its first element. Raise Failure "tl"
if the list is empty.
Return the n
-th element of the given list. The first element (head of the list) is at position 0. Return None
if the list is too short. Raise Invalid_argument "List.nth"
if n
is negative.
List.init len f
is [f 0; f 1; ...; f (len-1)]
, evaluated left to right.
Concatenate two lists. Same as the infix operator @
. Not tail-recursive (length of the first argument).
List.rev_append l1 l2
reverses l1
and concatenates it to l2
. This is equivalent to List.rev
l1 @ l2
, but rev_append
is tail-recursive and more efficient.
Concatenate a list of lists. The elements of the argument are all concatenated together (in the same order) to give the result. Not tail-recursive (length of the argument + length of the longest sub-list).
List.iter f [a1; ...; an]
applies function f
in turn to a1; ...; an
. It is equivalent to begin f a1; f a2; ...; f an; () end
.
Same as List.iter
, but the function is applied to the index of the element as first argument (counting from 0), and the element itself as second argument.
List.map f [a1; ...; an]
applies function f
to a1, ..., an
, and builds the list [f a1; ...; f an]
with the results returned by f
. Not tail-recursive.
Same as List.map
, but the function is applied to the index of the element as first argument (counting from 0), and the element itself as second argument. Not tail-recursive.
filter_map f l
applies f
to every element of l
, filters out the None
elements and returns the list of the arguments of the Some
elements.
List.fold_left f a [b1; ...; bn]
is f (... (f (f a b1) b2) ...) bn
.
List.fold_right f [a1; ...; an] b
is f a1 (f a2 (... (f an b) ...))
. Not tail-recursive.
List.iter2 f [a1; ...; an] [b1; ...; bn]
calls in turn f a1 b1; ...; f an bn
. Raise Invalid_argument
if the two lists are determined to have different lengths.
List.map2 f [a1; ...; an] [b1; ...; bn]
is [f a1 b1; ...; f an bn]
. Raise Invalid_argument
if the two lists are determined to have different lengths. Not tail-recursive.
List.fold_left2 f a [b1; ...; bn] [c1; ...; cn]
is f (... (f (f a b1 c1) b2 c2) ...) bn cn
. Raise Invalid_argument
if the two lists are determined to have different lengths.
List.fold_right2 f [a1; ...; an] [b1; ...; bn] c
is f a1 b1 (f a2 b2 (... (f an bn c) ...))
. Raise Invalid_argument
if the two lists are determined to have different lengths. Not tail-recursive.
for_all p [a1; ...; an]
checks if all elements of the list satisfy the predicate p
. That is, it returns (p a1) && (p a2) && ... && (p an)
.
exists p [a1; ...; an]
checks if at least one element of the list satisfies the predicate p
. That is, it returns (p a1) || (p a2) || ... || (p an)
.
Same as List.for_all
, but for a two-argument predicate. Raise Invalid_argument
if the two lists are determined to have different lengths.
Same as List.exists
, but for a two-argument predicate. Raise Invalid_argument
if the two lists are determined to have different lengths.
find_opt p l
returns the first element of the list l
that satisfies the predicate p
, or None
if there is no value that satisfies p
in the list l
.
filter p l
returns all the elements of the list l
that satisfy the predicate p
. The order of the elements in the input list is preserved.
find_all
is another name for List.filter
.
partition p l
returns a pair of lists (l1, l2)
, where l1
is the list of all the elements of l
that satisfy the predicate p
, and l2
is the list of all the elements of l
that do not satisfy p
. The order of the elements in the input list is preserved.
Transform a list of pairs into a pair of lists: split [(a1,b1); ...; (an,bn)]
is ([a1; ...; an], [b1; ...; bn])
. Not tail-recursive.
Transform a pair of lists into a list of pairs: combine [a1; ...; an] [b1; ...; bn]
is [(a1,b1); ...; (an,bn)]
. Raise Invalid_argument
if the two lists have different lengths. Not tail-recursive.
Sort a list in increasing order according to a comparison function. The comparison function must return 0 if its arguments compare as equal, a positive integer if the first is greater, and a negative integer if the first is smaller (see Array.sort for a complete specification). For example, Stdlib
.compare is a suitable comparison function. The resulting list is sorted in increasing order. List.sort
is guaranteed to run in constant heap space (in addition to the size of the result list) and logarithmic stack space.
The current implementation uses Merge Sort. It runs in constant heap space and logarithmic stack space.
Same as List.sort
, but the sorting algorithm is guaranteed to be stable (i.e. elements that compare equal are kept in their original order) .
The current implementation uses Merge Sort. It runs in constant heap space and logarithmic stack space.
Same as List.sort
or List.stable_sort
, whichever is faster on typical input.
Same as List.sort
, but also remove duplicates.
Merge two lists: Assuming that l1
and l2
are sorted according to the comparison function cmp
, merge cmp l1 l2
will return a sorted list containing all the elements of l1
and l2
. If several elements compare equal, the elements of l1
will be before the elements of l2
. Not tail-recursive (sum of the lengths of the arguments).