package lambdapi
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lambdapi.tool
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package lambdapi
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module A = Arrayinclude module type of struct include A end
get a n returns the element number n of array a. The first element has number 0. The last element has number length a - 1. You can also write a.(n) instead of get a n.
set a n x modifies array a in place, replacing element number n with x. You can also write a.(n) <- x instead of set a n x.
make n x returns a fresh array of length n, initialized with x. All the elements of this new array are initially physically equal to x (in the sense of the == predicate). Consequently, if x is mutable, it is shared among all elements of the array, and modifying x through one of the array entries will modify all other entries at the same time.
create_float n returns a fresh float array of length n, with uninitialized data.
init n f returns a fresh array of length n, with element number i initialized to the result of f i. In other terms, init n f tabulates the results of f applied to the integers 0 to n-1.
make_matrix dimx dimy e returns a two-dimensional array (an array of arrays) with first dimension dimx and second dimension dimy. All the elements of this new matrix are initially physically equal to e. The element (x,y) of a matrix m is accessed with the notation m.(x).(y).
append v1 v2 returns a fresh array containing the concatenation of the arrays v1 and v2.
Same as append, but concatenates a list of arrays.
sub a pos len returns a fresh array of length len, containing the elements number pos to pos + len - 1 of array a.
copy a returns a copy of a, that is, a fresh array containing the same elements as a.
fill a pos len x modifies the array a in place, storing x in elements number pos to pos + len - 1.
blit src src_pos dst dst_pos len copies len elements from array src, starting at element number src_pos, to array dst, starting at element number dst_pos. It works correctly even if src and dst are the same array, and the source and destination chunks overlap.
Iterators
iter f a applies function f in turn to all the elements of a. It is equivalent to f a.(0); f a.(1); ...; f a.(length a - 1); ().
Same as iter, but the function is applied to the index of the element as first argument, and the element itself as second argument.
map f a applies function f to all the elements of a, and builds an array with the results returned by f: [| f a.(0); f a.(1); ...; f a.(length a - 1) |].
Same as map, but the function is applied to the index of the element as first argument, and the element itself as second argument.
fold_left f init a computes f (... (f (f init a.(0)) a.(1)) ...) a.(n-1), where n is the length of the array a.
fold_right f a init computes f a.(0) (f a.(1) ( ... (f a.(n-1) init) ...)), where n is the length of the array a.
Iterators on two arrays
iter2 f a b applies function f to all the elements of a and b.
map2 f a b applies function f to all the elements of a and b, and builds an array with the results returned by f: [| f a.(0) b.(0); ...; f a.(length a - 1) b.(length b - 1)|].
Array scanning
for_all f [|a1; ...; an|] checks if all elements of the array satisfy the predicate f. That is, it returns (f a1) && (f a2) && ... && (f an).
exists f [|a1; ...; an|] checks if at least one element of the array satisfies the predicate f. That is, it returns (f a1) || (f a2) || ... || (f an).
Same as exists, but for a two-argument predicate.
mem a set is true if and only if a is structurally equal to an element of l (i.e. there is an x in l such that compare a x = 0).
Same as mem, but uses physical equality instead of structural equality to compare list elements.
find_opt f a returns the first element of the array a that satisfies the predicate f, or None if there is no value that satisfies f in the array a.
find_map f a applies f to the elements of a in order, and returns the first result of the form Some v, or None if none exist.
Arrays of pairs
split [|(a1,b1); ...; (an,bn)|] is ([|a1; ...; an|], [|b1; ...; bn|]).
combine [|a1; ...; an|] [|b1; ...; bn|] is [|(a1,b1); ...; (an,bn)|]. Raise Invalid_argument if the two arrays have different lengths.
Sorting
Sort an array 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 below for a complete specification). For example, Stdlib.compare is a suitable comparison function. After calling sort, the array is sorted in place in increasing order. sort is guaranteed to run in constant heap space and (at most) logarithmic stack space.
The current implementation uses Heap Sort. It runs in constant stack space.
Specification of the comparison function: Let a be the array and cmp the comparison function. The following must be true for all x, y, z in a :
cmp x y> 0 if and only ifcmp y x< 0- if
cmp x y>= 0 andcmp y z>= 0 thencmp x z>= 0
When sort returns, a contains the same elements as before, reordered in such a way that for all i and j valid indices of a :
cmp a.(i) a.(j)>= 0 if and only if i >= j
Same as sort, but the sorting algorithm is stable (i.e. elements that compare equal are kept in their original order) and not guaranteed to run in constant heap space.
The current implementation uses Merge Sort. It uses a temporary array of length n/2, where n is the length of the array. It is usually faster than the current implementation of sort.
Same as sort or stable_sort, whichever is faster on typical input.
Arrays and Sequences
val to_seq : 'a array -> 'a Seq.tIterate on the array, in increasing order. Modifications of the array during iteration will be reflected in the sequence.
val to_seqi : 'a array -> (int * 'a) Seq.tIterate on the array, in increasing order, yielding indices along elements. Modifications of the array during iteration will be reflected in the sequence.
val of_seq : 'a Seq.t -> 'a arrayCreate an array from the generator
for_all2 p a1 a2 checks if the corresponding elements of arrays a1 and a2 satisfy the predicate p. The Invalid_argument exception is raised if the arrays do not have the same size.
pp elt sep ppf a prints the array a on the formatter ppf using sep as separator and elt for printing the elements.
eq eq_elt a1 a2 tests the equality of a1 and a2, comparing their elements with eq_elt.
max_index ?cmp a returns the index of the first maximum of array a according to comparison ?cmp. If cmp is not given, defaults to Stdlib.compare.
max ?cmp a returns the higher element according to comparison function ?cmp, using Stdlib.compare if not given, in array a.