☰
list
list
Functions
collect the contents of this list into an array
create an array backed version of this sequence in case this is not array
backed. This will ensure that operations like index[] or drop perform
in constant time.
returns Sequence.this if is_array_backed.
backed. This will ensure that operations like index[] or drop perform
in constant time.
returns Sequence.this if is_array_backed.
Return this list as a list.
This is a helper function that needs to be defined because list is an heir
of Sequence.
This is a helper function that needs to be defined because list is an heir
of Sequence.
convenience feature to work around type inference issues
NYI remove when type inference gets better
NYI remove when type inference gets better
create a string representation of this Sequence including all the string
representations of its contents, separated by ',' and enclosed in '['
and ']'.
In case this Sequence is known to be `finite` or has at most (Sequence T).type
.AS_STRING_NON_FINITE_MAX_ELEMENTS elements, all elements will be shown in the
resulting string. Otherwise, only the first elements will be shown followed by
",…" as in "[1,2,3,4,5,6,7,8,9,10,…]".
To force printing of all elements of a finite `Sequence` for which `finite` is
false (which may be the case since a Sequence in general might not know that it
if finite), you may use `as_string_all`.
representations of its contents, separated by ',' and enclosed in '['
and ']'.
In case this Sequence is known to be `finite` or has at most (Sequence T).type
.AS_STRING_NON_FINITE_MAX_ELEMENTS elements, all elements will be shown in the
resulting string. Otherwise, only the first elements will be shown followed by
",…" as in "[1,2,3,4,5,6,7,8,9,10,…]".
To force printing of all elements of a finite `Sequence` for which `finite` is
false (which may be the case since a Sequence in general might not know that it
if finite), you may use `as_string_all`.
create a string representation of this list including all the string
representations of its contents, separated by 'sep'.
representations of its contents, separated by 'sep'.
create a string representation of this Sequence including all the string
representations of its contents, separated by ", " and enclosed in '['
and ']'.
NOTE: In case this Sequence is not finite, this will attempt to create an
infinitely long string resulting in failure due to resource exchaustion.
representations of its contents, separated by ", " and enclosed in '['
and ']'.
NOTE: In case this Sequence is not finite, this will attempt to create an
infinitely long string resulting in failure due to resource exchaustion.
call 'as_string' on the elements
the arithmetic mean of the sequence
https://en.wikipedia.org/wiki/Arithmetic_mean
https://en.wikipedia.org/wiki/Arithmetic_mean
create a new list that contains the first elements of
this Sequence for which 'f e' is false
this Sequence for which 'f e' is false
chop this Sequence into chunks of `chunk_size`.
the last chunk may be smaller than `chunk_size`.
the last chunk may be smaller than `chunk_size`.
§(U type, V type, b Sequence Sequence.combine.U, f Function Sequence.combine.V Sequence.T Sequence.combine.U):Any => Sequence Sequence.combine.V [Inherited from Sequence]
§(U
type
, V type
, b Sequence Sequence.combine.U, f Function Sequence.combine.V Sequence.T Sequence.combine.U):
Any =>
Sequence Sequence.combine.V [Inherited from Sequence]
create a new Sequence from the result of applying 'f' to the
elements all combinations of elements of this Sequence and
all elements of 'b' iterating of 'b' repeatedly as follows
Sequence.this[0] , b[0]
Sequence.this[0] , b[1]
Sequence.this[0] , b[2]
Sequence.this[0] , ...
Sequence.this[0] , b.last
Sequence.this[1] , b[0]
Sequence.this[1] , b[1]
Sequence.this[1] , ...
... , ...
Sequence.this.last, b.last
elements all combinations of elements of this Sequence and
all elements of 'b' iterating of 'b' repeatedly as follows
Sequence.this[0] , b[0]
Sequence.this[0] , b[1]
Sequence.this[0] , b[2]
Sequence.this[0] , ...
Sequence.this[0] , b.last
Sequence.this[1] , b[0]
Sequence.this[1] , b[1]
Sequence.this[1] , ...
... , ...
Sequence.this.last, b.last
create a new list from the result of applying 'f' to the
elements all combinations of elements of this list and
all elements of 'b' iterating of 'b' repeatedly as follows
list.this[0] , b[0]
list.this[0] , b[1]
list.this[0] , b[2]
list.this[0] , ...
list.this[0] , b.last
list.this[1] , b[0]
list.this[1] , b[1]
list.this[1] , ...
... , ...
list.this.last, b.last
elements all combinations of elements of this list and
all elements of 'b' iterating of 'b' repeatedly as follows
list.this[0] , b[0]
list.this[0] , b[1]
list.this[0] , b[2]
list.this[0] , ...
list.this[0] , b.last
list.this[1] , b[0]
list.this[1] , b[1]
list.this[1] , ...
... , ...
list.this.last, b.last
Lazy list concatenation, O(1)
t is evaluated only when this list is exhausted
This is useful when doing buffered reading from an input
source and the next buffer chunk, the tail should only
be created when actually necessary.
t is evaluated only when this list is exhausted
This is useful when doing buffered reading from an input
source and the next buffer chunk, the tail should only
be created when actually necessary.
List concatenation, O(count)
create a Sequence that consists of all the elements of this Sequence followed
by all the elements of s
by all the elements of s
count the elements of this list
get the number of non-overlapping matches of l within this
get the number of matches of l
create a list that repeats the current list indefinitely. In case 'list.this'
is 'nil', returns 'nil'
is 'nil', returns 'nil'
create a list from the tail of list.this dropping n elements (or fewer
if the list is shorter than n).
if the list is shorter than n).
Lazily drop the first elements of a list for which predicate 'p' holds.
Get the dynamic type of this instance. For value instances `x`, this is
equal to `type_of x`, but for `x` with a `ref` type `x.dynamic_type` gives
the actual runtime type, while `type_of x` results in the static
compile-time type.
There is no dynamic type of a type instance since this would result in an
endless hierarchy of types. So for Type values, dynamic_type is redefined
to just return Type.type.
equal to `type_of x`, but for `x` with a `ref` type `x.dynamic_type` gives
the actual runtime type, while `type_of x` results in the static
compile-time type.
There is no dynamic type of a type instance since this would result in an
endless hierarchy of types. So for Type values, dynamic_type is redefined
to just return Type.type.
the euclidean norm of this sequence
i.e. the square of the sum of squares of this sequence
i.e. the square of the sum of squares of this sequence
Lazily filter the elements of a list.
The result contains exactly those elements for which p
is true.
The result contains exactly those elements for which p
is true.
get the index of pattern within this Sequence or nil if it does not exist
uses the Knuth-Morris-Pratt algorithm
port of racket code from this paper:
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/8EFA77D663D585B68630E372BCE1EBA4/S0956796824000017a.pdf/knuth-morris-pratt-illustrated.pdf
worst-case performance: O( seq_length ) + O( pattern_length )
worst-case space complexity: O( pattern_length )
uses the Knuth-Morris-Pratt algorithm
port of racket code from this paper:
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/8EFA77D663D585B68630E372BCE1EBA4/S0956796824000017a.pdf/knuth-morris-pratt-illustrated.pdf
worst-case performance: O( seq_length ) + O( pattern_length )
worst-case space complexity: O( pattern_length )
is this sequence known to be finite? For infinite sequences, features like
count diverge.
count diverge.
get the head of this list
list must not be empty, causes precondition failure if debug is enabled.
list must not be empty, causes precondition failure if debug is enabled.
get the first element of this Sequence or default if sequence is empty
§(B type, f Unary (Sequence Sequence.flat_map.B) Sequence.T):Any => Sequence Sequence.flat_map.B [Inherited from Sequence]
§(B
type
, f Unary (Sequence Sequence.flat_map.B) Sequence.T):
Any =>
Sequence Sequence.flat_map.B [Inherited from Sequence]
map each element of this Sequence to Sequence
Then flatten the result by one level,
essentially combining all the sequences.
Then flatten the result by one level,
essentially combining all the sequences.
map the list to a new list applying function f to all elements
and flatten the result of f in the process
This performs a lazy mapping, f is called only when the elements
are taken from the list.
and flatten the result of f in the process
This performs a lazy mapping, f is called only when the elements
are taken from the list.
fold the elements of this list using the given monoid.
e.g., to sum the elements of a list of i32, use l.fold i32.sum
e.g., to sum the elements of a list of i32, use l.fold i32.sum
fold the elements of this list using the given monoid and initial value
Used to fold a list tail-recursively
Used to fold a list tail-recursively
fold the elements of this non-empty list using the given function
e.g., to find the minimum of a list of i32, use `l.fold1 (<=)`
e.g., to find the minimum of a list of i32, use `l.fold1 (<=)`
§(B type, f Function list.foldf.B list.foldf.B list.A, e list.foldf.B):Any => list.foldf.B [Redefinition of Sequence.foldf]
§(B
type
, f Function list.foldf.B list.foldf.B list.A, e list.foldf.B):
Any =>
list.foldf.B [Redefinition of Sequence.foldf]
fold the elements of this list using the given function
e.g., to find the product of a list of i32, use `s.foldf (*) 1`
e.g., to find the product of a list of i32, use `s.foldf (*) 1`
call f in order on all elements of this list
apply 'f' to each element 'e' as long as 'f e'
§(K type, f Unary Sequence.group_by.K Sequence.T):Any => lock_free.map Sequence.group_by.K (list Sequence.T) [Inherited from Sequence]
§(K
type
, f Unary Sequence.group_by.K Sequence.T):
Any =>
lock_free.map Sequence.group_by.K (list Sequence.T) [Inherited from Sequence]
group the elements of this sequence by a key of type K
f determines the key of an element
f determines the key of an element
get the head of this list if it exists, nil if it does
not exist
not exist
get a function that, given an index, returns the element at that index
the nth element in the sequence, must exist
determine the index of element x within this list. 0 if x is at the
head of the list, 1 if it comes directly after head, etc. nil if x is
not in the list.
head of the list, 1 if it comes directly after head, etc. nil if x is
not in the list.
adds the corresponding index to
every element in the sequence
every element in the sequence
adds an index to every element
in the sequence starting at start_idx
in the sequence starting at start_idx
consume all elements of this Sequence by f. This is an infix operator alias
for for_each.
Ex.: To print all the elements of a list, you can use
1..10 ! say
for for_each.
Ex.: To print all the elements of a list, you can use
1..10 ! say
filter elements using predicate f, infix operator
synonym of filter.
NYI: What is better, 'infix |&' or 'infix &', or something else?
synonym of filter.
NYI: What is better, 'infix |&' or 'infix &', or something else?
infix operand synonym for concat
§(B type, f Unary (Sequence.infix |.B) Sequence.T):Any => Sequence (Sequence.infix |.B) [Inherited from Sequence]
§(B
type
, f Unary (Sequence.infix |.B) Sequence.T):
Any =>
Sequence (Sequence.infix |.B) [Inherited from Sequence]
map the Sequence to a new Sequence applying function f to all elements
This is an infix operator alias of map enabling piping code like
l := 1..10 | *10 | 300-
to obtain 290,280,270,...200
Note that map and therefore also this operator is lazy, so
_ := (1..10 | say)
will not print anything while
(1..10 | say).for_each _->unit
will print the elements since `for_each` is not lazy.
This is an infix operator alias of map enabling piping code like
l := 1..10 | *10 | 300-
to obtain 290,280,270,...200
Note that map and therefore also this operator is lazy, so
_ := (1..10 | say)
will not print anything while
(1..10 | say).for_each _->unit
will print the elements since `for_each` is not lazy.
filter elements using predicate f, infix operator
synonym of filter.
synonym of filter.
check if predicate f holds for all elements
check if predicate f holds for at least one element
returns the list of all but the last element of this list
list must not be empty, causes precondition failure if debug is enabled.
list must not be empty, causes precondition failure if debug is enabled.
insert element v at position at
add an element sep between every element of this list.
§(TA type, xf transducer (Sequence Sequence.into.TA) Sequence.into.TA Sequence.T):Any => list Sequence.into.TA [Inherited from Sequence]
§(TA
type
, xf transducer (Sequence Sequence.into.TA) Sequence.into.TA Sequence.T):
Any =>
list Sequence.into.TA [Inherited from Sequence]
apply transducer to sequence, returning a sequence of results
example usage:
human(age i32) is
ages := map (Sequence i32) human i32 (x -> x.age)
gt_ten := filter (Sequence i32) i32 (x -> x > 10)
xf := ages ∘ gt_ten
say ([human(4), human(12), human(30)].into xf) # [12,30]
example usage:
human(age i32) is
ages := map (Sequence i32) human i32 (x -> x.age)
gt_ten := filter (Sequence i32) i32 (x -> x > 10)
xf := ages ∘ gt_ten
say ([human(4), human(12), human(30)].into xf) # [12,30]
is this Sequence known to be array backed? If so, this means that operations
like index[] are fast.
like index[] are fast.
is this list empty?
check if argument is a valid index in this sequence.
Note that this may have a performance in O(i) unless this
Sequence is_array_backed.
Note that this may have a performance in O(i) unless this
Sequence is_array_backed.
get the last element of this list
list must not be empty, causes precondition failure if debug is enabled.
This may take time in O(count), in particular, it may not terminate
for an infinite list.
list must not be empty, causes precondition failure if debug is enabled.
This may take time in O(count), in particular, it may not terminate
for an infinite list.
get the last element of this Sequence or default if sequence is empty
§(B type, f Unary Sequence.map.B Sequence.T):Any => Sequence Sequence.map.B [Inherited from Sequence]
§(B
type
, f Unary Sequence.map.B Sequence.T):
Any =>
Sequence Sequence.map.B [Inherited from Sequence]
map the Sequence to a new Sequence applying function f to all elements
This performs a lazy mapping, f is called only when the elements
in the resulting list are accessed.
This performs a lazy mapping, f is called only when the elements
in the resulting list are accessed.
§(B type, f Function Sequence.map_pairs.B Sequence.T Sequence.T):Any => list Sequence.map_pairs.B [Inherited from Sequence]
§(B
type
, f Function Sequence.map_pairs.B Sequence.T Sequence.T):
Any =>
list Sequence.map_pairs.B [Inherited from Sequence]
Map this Sequence to f applied to neighboring pairs of values
in this Sequence.
In case this Sequence has less than two elements, the result will
be the empty list.
ex. to obtain a list of differences you, you may use `map_pairs (-)`:
[2,3,5,7,11,13,17,19,23,29].map_pairs a,b->b-a
results in `[1,2,2,4,2,4,2,4,6]`
in this Sequence.
In case this Sequence has less than two elements, the result will
be the empty list.
ex. to obtain a list of differences you, you may use `map_pairs (-)`:
[2,3,5,7,11,13,17,19,23,29].map_pairs a,b->b-a
results in `[1,2,2,4,2,4,2,4,6]`
map the list to a new list applying function f to all elements
This performs a lazy mapping, f is called only when the elements
are taken from the list.
This performs a lazy mapping, f is called only when the elements
are taken from the list.
the median of the sequence
https://en.wikipedia.org/wiki/Median
https://en.wikipedia.org/wiki/Median
the nth element in the sequence if it exists, wrapped in an option,
nil otherwise.
Complexity: if Sequence is array backed O(1) otherwise O(n)
nil otherwise.
Complexity: if Sequence is array backed O(1) otherwise O(n)
§(U type, b Sequence Sequence.pairs.U):Any => Sequence (tuple Sequence.T Sequence.pairs.U) [Inherited from Sequence]
§(U
type
, b Sequence Sequence.pairs.U):
Any =>
Sequence (tuple Sequence.T Sequence.pairs.U) [Inherited from Sequence]
create a new Sequence from tuples of all combinations of elements
of this Sequence and all elements of 'b' iterating of 'b' repeatedly
as follows
(Sequence.this[0] , b[0] )
(Sequence.this[0] , b[1] )
(Sequence.this[0] , b[2] )
(Sequence.this[0] , ... )
(Sequence.this[0] , b.last)
(Sequence.this[1] , b[0] )
(Sequence.this[1] , b[1] )
(Sequence.this[1] , ... )
(... , ... )
(Sequence.this.last, b.last)
of this Sequence and all elements of 'b' iterating of 'b' repeatedly
as follows
(Sequence.this[0] , b[0] )
(Sequence.this[0] , b[1] )
(Sequence.this[0] , b[2] )
(Sequence.this[0] , ... )
(Sequence.this[0] , b.last)
(Sequence.this[1] , b[0] )
(Sequence.this[1] , b[1] )
(Sequence.this[1] , ... )
(... , ... )
(Sequence.this.last, b.last)
calls `f` for element in the Sequence.
Unlike `for_each` this returns itself
allowing easier composition with
other Sequence features.
example:
[1,2,3,4,5]
.filter is_prime
.peek say
.drop_while <10
Unlike `for_each` this returns itself
allowing easier composition with
other Sequence features.
example:
[1,2,3,4,5]
.filter is_prime
.peek say
.drop_while <10
convenience prefix operator to create a string from a value.
This permits usage of `$` as a prefix operator in a similar way both
inside and outside of constant strings: $x and "$x" will produce the
same string.
This permits usage of `$` as a prefix operator in a similar way both
inside and outside of constant strings: $x and "$x" will produce the
same string.
add an element sep in front of every element of this list.
reduce this Sequence to R with an initial value init
and a reducing function f.
the reduction is finished once f yields abort or
if the end of the sequence is reached.
and a reducing function f.
the reduction is finished once f yields abort or
if the end of the sequence is reached.
§(R type, init Sequence.reduce_or_error.R, f Function (choice Sequence.reduce_or_error.R (abort (outcome Sequence.reduce_or_error.R))) Sequence.reduce_or_error.R Sequence.T):Any => outcome Sequence.reduce_or_error.R [Inherited from Sequence]
§(R
type
, init Sequence.reduce_or_error.R, f Function (choice Sequence.reduce_or_error.R (abort (outcome Sequence.reduce_or_error.R))) Sequence.reduce_or_error.R Sequence.T):
Any =>
outcome Sequence.reduce_or_error.R [Inherited from Sequence]
reduce this Sequence to `outcome R`
with an initial value `init` and a reducing function `f`.
the reduction is finished once `f` yields `abort` or
if the end of the sequence is reached.
with an initial value `init` and a reducing function `f`.
the reduction is finished once `f` yields `abort` or
if the end of the sequence is reached.
§(old Sequence Sequence.T, new Sequence Sequence.T):Any => list Sequence.T [Inherited from Sequence]
§(old Sequence Sequence.T, new Sequence Sequence.T)
:
Any =>
list Sequence.T [Inherited from Sequence]
replace all occurrences of old by new
§(old Sequence Sequence.T, new Sequence Sequence.T, n u64):Any => list Sequence.T [Inherited from Sequence]
§(old Sequence Sequence.T, new Sequence Sequence.T, n u64)
:
Any =>
list Sequence.T [Inherited from Sequence]
replace the first n occurrences of old by new
reverse the order of the elements in this Sequence
reverse the order of the elements in this list
map this Sequence to a list that contains the result of folding
all prefixes using the given monoid.
e.g., for a Sequence of i32 s, s.scan i32.sum creates a list of
partial sums (0..).map x->(s.take x).fold i32.sum
all prefixes using the given monoid.
e.g., for a Sequence of i32 s, s.scan i32.sum creates a list of
partial sums (0..).map x->(s.take x).fold i32.sum
map this Sequence to a list that contains the result of folding
all prefixes using the given monoid and initial value
Used to scan a list tail-recursively
all prefixes using the given monoid and initial value
Used to scan a list tail-recursively
create a slice from this Sequence that consists of the elements starting at index
from (including) up to index to (excluding).
from (including) up to index to (excluding).
§(less_or_equal Function bool Sequence.T Sequence.T):Any => container.sorted_array Sequence.T [Inherited from Sequence]
§(less_or_equal Function bool Sequence.T Sequence.T)
:
Any =>
container.sorted_array Sequence.T [Inherited from Sequence]
sort this Sequence using the total order defined by less_or_equal
§(O type, f Unary Sequence.sort_by.O Sequence.T):Any => container.sorted_array Sequence.T [Inherited from Sequence]
§(O
type
, f Unary Sequence.sort_by.O Sequence.T):
Any =>
container.sorted_array Sequence.T [Inherited from Sequence]
sort this Sequence using total order defined for 'f a[i]'
create a tuple of two Sequences by splitting this at the given index, i.e.,
a Sequence of length 'at' and one of length 'count-at'.
at may be <= 0 or >= count, in which case the resulting tuple will be the
(empty list, Sequence.this.as_list) or (Sequence.this.as_list, empty list), resp.
a Sequence of length 'at' and one of length 'count-at'.
at may be <= 0 or >= count, in which case the resulting tuple will be the
(empty list, Sequence.this.as_list) or (Sequence.this.as_list, empty list), resp.
does this sequence start with l?
the standard deviation of the sequence
https://en.wikipedia.org/wiki/Standard_deviation
https://en.wikipedia.org/wiki/Standard_deviation
get the tail of this list if it exists, nil if it does
not exist or it is the empty list
not exist or it is the empty list
create a lazy list of all the tails of this list, including the complete list
'list.this' and the empty list 'nil'.
'list.this' and the empty list 'nil'.
Lazily take the first n elements of a list, alternatively the whole list if it
is shorter than n, or the empty list if n <= 0
is shorter than n, or the empty list if n <= 0
Lazily take the first elements of a list for which predicate 'p' holds.
§(TA type, U type, xf transducer Sequence.transduce.TA Sequence.transduce.U Sequence.T, rf Function Sequence.transduce.TA Sequence.transduce.TA Sequence.transduce.U, init Sequence.transduce.TA):Any => Sequence.transduce.TA [Inherited from Sequence]
§(TA
type
, U type
, xf transducer Sequence.transduce.TA Sequence.transduce.U Sequence.T, rf Function Sequence.transduce.TA Sequence.transduce.TA Sequence.transduce.U, init Sequence.transduce.TA):
Any =>
Sequence.transduce.TA [Inherited from Sequence]
takes a transducer xf, a reducer f and an initial value
returns the result of applying the reducer xf f to the Sequence
returns the result of applying the reducer xf f to the Sequence
the variance of the sequence
https://en.wikipedia.org/wiki/Variance
https://en.wikipedia.org/wiki/Variance
§(U type, V type, b Sequence list.zip.U, f Function list.zip.V list.A list.zip.U):Any => list list.zip.V [Redefinition of Sequence.zip]
§(U
type
, V type
, b Sequence list.zip.U, f Function list.zip.V list.A list.zip.U):
Any =>
list list.zip.V [Redefinition of Sequence.zip]
create a new list from the result of applying 'f' to the
elements of this list and 'b' in order.
elements of this list and 'b' in order.
Type Features
string representation of this type to be used for debugging.
result has the form "Type of '<name>'", but this might change in the future
result has the form "Type of '<name>'", but this might change in the future
Maximum number of elements shown for on a call to `as_string` for a non-finite
Sequence.
Sequence.
monoid of Sequences with infix concatentation operation.
There is no dynamic type of a type instance since this would result in an
endless hierarchy of types, so dynamic_type is redefined to just return
Type.type here.
endless hierarchy of types, so dynamic_type is redefined to just return
Type.type here.
create an empty list
fmap lifts a function from A to B to a function from list A to list B
Is this type assignable to a type parameter with constraint `T`?
The result of this is a compile-time constant that can be used to specialize
code for a particular type.
is_of_integer_type(n T : numeric) => T : integer
say (is_of_integer_type 1234) # true
say (is_of_integer_type 3.14) # false
it is most useful in conjunction preconditions or `if` statements as in
pair(a,b T) is
=>
or
val(n T) is
The result of this is a compile-time constant that can be used to specialize
code for a particular type.
is_of_integer_type(n T : numeric) => T : integer
say (is_of_integer_type 1234) # true
say (is_of_integer_type 3.14) # false
it is most useful in conjunction preconditions or `if` statements as in
pair(a,b T) is
=>
or
val(n T) is
monoid of lists with infix concatentation operation.
NYI: Name should be `concat_monoid`, we use `list_concat_monoid`
to avoid clash with inherited `Sequence.concat_monoid`. Maybe
the inherited one should be renamed once renaming is supported.
NYI: Name should be `concat_monoid`, we use `list_concat_monoid`
to avoid clash with inherited `Sequence.concat_monoid`. Maybe
the inherited one should be renamed once renaming is supported.
name of this type, including type parameters, e.g. 'option (list i32)'.
Get a type as a value.
This is a feature with the effect equivalent to Fuzion's `expr.type` call tail.
It is recommended to use `expr.type` and not `expr.type_value`.
`type_value` is here to show how this can be implemented and to illustrate the
difference to `dynamic_type`.
This is a feature with the effect equivalent to Fuzion's `expr.type` call tail.
It is recommended to use `expr.type` and not `expr.type_value`.
`type_value` is here to show how this can be implemented and to illustrate the
difference to `dynamic_type`.
list provides an abstract type for a sequence of elements of the same type.
A list sequence may be empty and contain no element, or it may have a fixed
or even an infinite number of elements.
The core of the implementation of an actual list lies in the implementation
of the actual Cons cell a non-empty list consists of.
Lists can typically be traversed using only immutable data. This makes them
more flexible than streams that require to store and update their state.
A list is immutable, so it can be reused and shared between threads.
Due to the nature of lists, in which many Cons cells are used, a list
may require more (heap) allocation than an array.