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C CONTAINER TEMPLATE LIBRARY (CTL)

CTL is a fast compiling, type safe, header only, template-like container library for ISO C99/C11.

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Use

Configure a CTL container with a built-in or typedef type T.

    #include <stdio.h>
    
    #define POD
    #define T int
    #include <ctl/vector.h>
    
    int compare(int* a, int* b) { return *b < *a; }
    
    int main(void)
    {
        vec_int a = vec_int_init();
        vec_int_push_back(&a, 9);
        vec_int_push_back(&a, 1);
        vec_int_push_back(&a, 8);
        vec_int_push_back(&a, 3);
        vec_int_push_back(&a, 4);
        vec_int_sort(&a, compare);
        foreach(vec_int, &a, it)
            printf("%d\n", *it.ref);
        vec_int_free(&a);
    }

Definition POD states type T is Plain Old Data (POD).

For a much more thorough getting started guide, see the wiki: https://github.com/rurban/ctl/wiki and https://github.com/glouw/ctl/wiki for the original sample with three-letter names.

Motivation

CTL aims to improve ISO C99/C11 developer productivity by implementing all containers in ISO C99/C11:

CTL = C++ STL C prefix
ctl/deque.h std::deque deq
ctl/list.h std::list list
ctl/forward_list.h std::forward_list slist
ctl/priority_queue.h std::priority_queue pqu
ctl/queue.h std::queue queue
ctl/set.h std::set set
ctl/stack.h std::stack stack
ctl/string.h std::string str
ctl/vector.h std::vector vec
ctl/array.h std::array arrNNNN
ctl/map.h std::map map
ctl/unordered_map.h std::unordered_map umap
ctl/unordered_set.h std::unordered_set uset
------------------------------------------------ ----------------------
ctl/algorithm.h <algorithm>
ctl/numeric.h <numeric>

In work:

ctl/pair.h, ctl/hashmap.h, ctl/swisstable.h, ctl/btree.h, ctl/u8string.h, ctl/u8ident.h.

map (with pairs), and some C++ methods, algorithms are in work still.

It is based on glouw's ctl, but with proper names, and using the incpath ctl/ prefix.

multiset and multimap can be composed by set and list. Better open flat hashmap's are in work as stanford hash variant for integer keys, and swisstable for string keys, both with the unordered_map API.

Memory Ownership

Types with memory ownership require definition POD be omitted, and require function declarations for the C++ equivalent of the destructor and copy constructor, prior to the inclusion of the container:

    typedef struct { ... } type;
    void type_free(type*);
    type type_copy(type*);
    #define T type
    #include <ctl/vector.h>

Forgetting a declaration will print a human-readable error message:

tests/test_c11.c:11:11: error: ‘type_free’ undeclared (first use in this function)
   11 | #define T type

Compare

In contrast to the original CTL, this applies default compare and equal methods to all integral types T as int, long, bool, char, short, float, double, char8_t, uint8_t - uin64_t, int8_t - in64_t. Since T may not contain a space, we also accept long double as ldbl, long long as llong, unsigned int as uint and uint8_t - uin64_t, unsigned long as ulong, unsigned char as uchar.

Only with structs a compare and optionally an equal method must be set. Removed the compare and equal args from equal, sort, sort_range, find, merge, unique.

Without an equal method two compare calls are used, so having a special equal method is preferred if one of those methods from above are used.

2way vs 3way compare: Officially only the lower-than operator< 2-way comparator is supported, as in the STL. However, with the set core methods the 3way comparator <=> (such as e.g. memcmp, strcmp) may also be used. Not with algorithms! It is not faster with 3way, rather slower.

If you have a POD type, i.e. a struct with only integral types, i.e. no pointers, you have to define NOT_INTEGRAL.

    #define POD
    #define NOT_INTEGRAL
    #define T point
    #include <ctl/priority_queue.h>
    
    // or
    
    #define T digi
    #include <ctl/deque.h>

    deq_digi a = deq_digi_init();
    a.compare = digi_compare;
    a.equal = digi_equal;

Forgetting a compare method will assert with "compare undefined", if enabled.

Iterators and Ranges

The special iterator objects created by begin, end and returned by next, advance contain the current and the end position for ranges, 3 vtable methods, and have more iterator specific fields contained within. Thus they are fat and safe iterators.

Previous versions of the ctl (with version numbers < 202000) had different heavier and incompatible iterators, initialized by each. Our iterators are as in the STL initialized with begin or end, and for ranges with range. Now they are compatible with the STL and are safer.

We also support for certain algorithm methods generic iterators as 2nd range, abstracting different containers. So we can insert a vector into a deque, or use a mixed set algorithm with different container types. They are denoted as GI*, generic iters, and can be simply casted from container-specific iterators.

See iterators.

Range methods are suffixed with _range, taking a single iterator as range, similar to C++20 ranges, but the STL uses a pair of two iterators. We are using one.

Performance

CTL performance is presented in solid colors, and STL in dotted colors, for template type T as type int for all measurements.

Omitted from these performance measurements are queue.h and stack.h, as their performance characteristics can be inferred from deque.h. Likewise map.h from set.h and unordered_map.h from unordered_set.h.

unordered_set.h is defined with the default CTL_USET_GROWTH_PRIMED. libstdc++ uses POWER2 by default, libc++ supports both, depending on the initial size. CTL_USET_GROWTH_POWER2 is here:

CTL_USET_CACHED_HASH is here:

This trades memory for faster unsuccessful searches, such as with insert with high load factor.

C is rougly comparable to C++ included, but note that most of the C++ functions are dynaloaded from libstdc++.so.6, whilst the C versions are directly in the binary.

Security

The CTL is more opinionated on security than the STL.

The default max_size of containers is restricted to max 2^32 byte, i.e. 2GB, to avoid DDOS attacks. Allocating an overlarge container may need several minutes until it crashes. If you really need more than 2GB containers adjust your max_size for your container.

The unordered_set hashtable has by default security policies enabled to avoid DDOS attacks by exploiting weak hash functions or exposure of ordering on the unfortunate linked-list chaining, demanded by the unfortunate C++ specs. The usual random seed strategy is considered security theatre, but can be enabled by #define CTL_USET_SECURITY_COLLCOUNTING 0 and define a custom hash function with a random seed. See unordered_set hash-policy and github.com/rurban/smhasher/#security.

Using a mix of 3way and 2way comparators may lead to endless loops with certain sequences only. The STL does nothing against it, we try to detect this at least in the set core methods.

The CTL is formally verified via cbmc and satabs models for most core functions, the STL not. Several STL bugs and limitations have been found by our extensive test suite. See also cprover.org/stl/ for and verifications.

Proper unicode security practices are in work. The STL and most other libraries ignore it. Esp. for identifiers, which need to be identifiable, but are not. But the STL cannot even compare, i.e. find strings, only byte buffers.

Running Tests

To run all functional tests, run:

make

To compile examples, run:

make examples

To generate performance graphs, run:

make images

# Graphing requires python3 and the Plotly family of libraries via pip3.
pip install plotly
pip install psutil
pip install kaleido

To do all of the above in one step, run:

./all.sh

The full CI suite is run via: (1-2 hrs)

./ci-all.sh

To generate the manpages or run make install install the ronn gem.

For maintaining CTL, a container templated to type int can be output to stdout by running make on the container name with .i, eg:

make ctl/deque.i
make ctl/list.i
make ctl/priority_queue.i
make ctl/queue.i
make ctl/set.i
make ctl/stack.i
make ctl/string.i
make ctl/vector.i
make ctl/array.i
make ctl/map.i
make ctl/unordered_set.i
make ctl/unordered_map.i
make ctl/hashmap.i
make ctl/swisstable.i
make tests/func/test_c11.i
make tests/func/test_list.i

Other

STL variants of multi-sets and multi-maps will not be implemented because similar behaviour can be implemented as an amalgamation of a set and list. See tests/func/test_container_composing.cc

UTF-8 strings and identifiers will be added eventually, Wide, UTF-16 or UTF-32 not. Parallel variants of all containers and algos in pctl with openmp are in planning.

Many methods from algorithm, with iterators and range are now implemented, with iterators changed from upstream. Also implemented are type utilities to omit default compare, equal and hash methods for POD integral types.

In planning are also small_vector (stack-allocated for performance), sorted_vector and parallel, thread-safe variants in pctl.

See also Differences below.

Many other header-only STL variants in C exist:

In its infancies:

And in its grandiosity (esp. not header-only):

Base Implementation Details

array.h:            stack/heap allocated
vector.h:           realloc
string.h:           vector.h
deque.h:            realloc (paged)
queue.h:            deque.h
stack.h:            deque.h
priority_queue.h:   vector.h
list.h:             doubly linked list
forward_list.h:     single linked list
set.h:              red black tree
map.h:              set.h
unordered_set.h:    hashed forward linked lists
unordered_map.h:    unordered_set.h (pair in work)
hashmap.h:          stanford hash for integer keys, intel only.
swisstable.h:       abseil flat_hash_map for string keys, with non-intel fallbacks.

✓  stable and tested
x  implemented, but broken or untested
   not yet implemented
-  unspecified, unsupported
vec str arr deq list slst set map uset umap pqu que stk
init
init_from
free
copy x
size
max_size
empty
equal
insert - - - -
insert_index - - - - - - - - - -
insert_count - - - - - - - -
insert_range - x - - - - -
insert_generic x x x - - -
insert_found - - - - - - - - -
insert_or_assign - - - - - - - - - - -
insert_or_assign_found - - - - - - - - - - -
load_factor - - - - - - - - - - -
max_load_factor - - - - - - - - - - -
max_bucket_count - - - - - - - - - - -
bucket_count - - - - - - - - - - -
bucket_size - - - - - - - - - - -
rehash - - - - - - - - - - -
emplace x - x - x - -
emplace_front - - - - - - - - - -
emplace_back - - - - - - - - -
emplace_hint - - - - - - x - - -
reserve - - - - - - - - -
find - - -
erase - - - -
erase_if - x - - -
erase_index - - - - - - - - - -
erase_node - - - - - - -
erase_range - - - - - -
erase_generic - - - - x x - - - - - - -
top - - - - - - - - - -
push - - - - - - - - - -
pop - - - - - - - - - -
at - - - - - - - - - - - - -
front - - - - - - - - - - - - -
back - - - - - - - - - - - - -
set - - -
pop_back - - - - - - - -
pop_front - - - - - - - - - -
push_back - - - - - - - -
push_front - - - - - - - - - -
clear - - -
assign x - - - - - - -
assign_range - - - - - - - - - - -
assign_generic - - - - - - - - -
resize - - - - - - - -
shrink_to_fit - - - - - - - - - -
data - - - - - - - - - -
splice - - - - - - - - - - -
splice_it - - - - - - - - - - -
splice_range - - - - - - - - - - -
contains - - - - - - x - - -
append - - - - - - - - - - - -
insert_str - - - - - - - - - - - -
c_str - - - - - - - - - - - -
find - - -
rfind - - - - - - - - - - - -
find_last_of - - - - - - - - - - - -
find_first_not_of - - - - - - - - - - - -
find_last_not_of - - - - - - - - - - - -
substr - - - - - - - - - - - -
compare - - - - - - - - - - - -
key_compare - - - - - - - - - -
--------------------------------- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ----
vec str arr deq list slst set map uset umap pqu que stk
--------------------------------- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ----
begin - - -
end - - -
next - - -
done - - -
set_pos - - -
set_done - - -
set_end - - -
iter - - -
ref - - -
prev - - - - -
distance - - - - -
index - - - - -
advance - - - - -
advance_end - - - - -
distance_range - - - - -
range - - - - -
--------------------------------- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ----
vec str arr deq list slst set map uset umap pqu que stk
--------------------------------- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ----
all_of x x - - -
any_of x x - - -
none_of x x - - -
all_of_range x - - - - -
any_of_range x - - - - -
none_of_range x - - - - -
foreach - - -
foreach_range - - - - -
foreach_n - - - - -
foreach_n_range - - - - -
count - - -
count_range x - - - - -
count_if x x - - -
count_if_range x - - - - -
mismatch - - - - -
find_if x x - - -
find_if_not x x - - -
find_range x - - - - -
find_if_range x - - - - -
find_if_not_range x - - - - -
find_end - - - - -
find_end_range - - - - -
find_first_of - - -
find_first_of_range - - - - -
adjacent_find - - - - -
adjacent_find_range - - - - -
search x - - - - -
search_range - - - - -
search_n - - - - -
search_n_range - - - - -
copy_range - x - - - - -
inserter x - - -
copy_if x - - -
copy_if_range x - - - - -
copy_n - - -
copy_n_range - - - - -
copy_backward - - -
copy_backward_range - - - - -
move - - -
move_range - - - - -
move_backward - - -
move_backward_range - - - - -
fill - - - - -
fill_range - - - - -
fill_n - - - - -
fill_n_range - - - - -
transform x x - - -
transform_it x x - - -
transform_range x x x x - - - - -
transform_it_range x - - - - -
generate x - - -
generate_range x - - - - -
generate_n x - - -
generate_n_range x x x x x - - - - -
remove - - -
remove_if x x - - -
remove_copy - - -
remove_copy_if - - -
remove_copy_range - - - - -
remove_copy_if_range - - - - -
replace - - -
replace_if - - -
replace_range - - - - -
replace_if_range - - - - -
replace_copy - - -
replace_copy_if - - -
replace_copy_range - - - - -
replace_copy_if_range - - - - -
swap x
swap_ranges - - - - -
iter_swap - - - - -
reverse - - - - - - -
reverse_range x - - - - - - -
reverse_copy - - - - - - -
reverse_copy_range - - - - - - -
rotate - - - - - - -
rotate_range - - - - - - -
rotate_copy - - - - - - -
rotate_copy_range - - - - -
shift_left - - - - -
shift_right - - - - -
shuffle - - - - - - -
shuffle_range - - - - - - - - -
sample - - - - -
sample_range - - - - -
unique x - x - - - - - - -
unique_range x - x x - - - - - - -
unique_copy - - - - - - -
unique_copy_range - - - - - - -
is_partitioned - - - - -
is_partitioned_range - - - - -
partition - - - - -
partition_range - - - - -
partition_copy - - - - -
partition_copy_range - - - - -
stable_partition - - - - -
stable_partition_range - - - - -
partition_point - - - - -
partition_point_range - - - - -
is_sorted - - - - -
is_sorted_until - - - - -
sort - - - - - - -
sort_range x - - - - - - -
partial_sort - - - - - - -
partial_sort_range - - - - - - -
partial_sort_copy - - - - - - -
partial_sort_copy_range - - - - - - -
stable_sort - - - - - - -
stable_sort_range - - - - - - -
nth_element - - - - -
nth_element_range - - - - -
lower_bound - - - - -
lower_bound_range - - - - -
upper_bound - - - - -
upper_bound_range - - - - -
binary_search - - - - -
binary_search_range - - - - -
equal_value x - - - - -
equal_range x x - - - - -
merge x - - -
merge_range - - -
inplace_merge - - -
inplace_merge_range - - -
includes - - - - -
includes_range - - - - -
difference - x - - -
intersection - x - - -
symmetric_difference - x - - -
union - x - - -
difference_range x - - -
intersection_range x - - -
symmetric_difference_range x - - -
union_range - x - - -
lexicographical_compare - - - - -
--------------------------------- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ----
vec str arr deq list slst set map uset umap pqu que stk
--------------------------------- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ----
gcd - - - - - - -
lcm - - - - - - -
midpoint - - - - - - -
lerp - - - - - - -
iota - - - - - - -
iota_range - - - - - - -
accumulate - - - - - - -
accumulate_range - - - - - - -
reduce - - - - - - -
reduce_range - - - - - - -
transform_reduce - - - - - - -
transform_reduce_range - - - - - - -
inner_product - - - - - - -
inner_product_range - - - - - - -
adjacent_difference - - - - - - -
adjacent_difference_range - - - - - - -
partial_sum - - - - - - -
partial_sum_range - - - - - - -
inclusive_scan - - - - - - -
inclusive_scan_range - - - - - - -
exclusive_scan - - - - - - -
exclusive_scan_range - - - - - - -
transform_inclusive_scan - - - - - - -
transform_exclusive_scan - - - - - - -
--------------------------------- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ----
vec str arr deq list slst set map uset umap pqu que stk

Differences

Differences to the original https://github.com/glouw/ctl

#include with the ctl/ prefix.

Use the original long names, not three-letter abbrevations.

#define POD not P

#define NOT_INTEGRAL not COMPARE

Our version number CTL_VERSION is greater than 202000 (starting with 202102), the old ctl is lower than 202000, starting with 1.0.

Added lots of missing methods. We have 158 methods in 942 stable variants. glouw has 63 methods in 196 stable variants.

inclusion of numeric via #define INCLUDE_NUMERIC. For now algorithm is always loaded.

Probe for -std=c++20 c++ support and use this for testing against the STL. Fallback to c++2a, c++17 or c++11.

Added array, map and unordered_map containers; generic iterators with a vtable.

Added docs and manpages.

Added builtin default compare and equal methods for the simple integral types T: int, long, bool, char, short, float, double, char8_t, long double, long long, unsigned int, unsigned long, unsigned char. Only with structs a compare and optionally and equal method must be set. Removed the compare and equal args from equal, sort, sort_range, find, merge, unique Added compare and equal fields to all.

Added many _it and _range method variants to accept iterator pairs or single ranges, _found to return found or not. Methods working on iterators don't need the container arg (A* self).

deque:  insert_range, insert_count, erase_range,
        emplace, emplace_back, emplace_front, sort_range
vector: assign_range, erase_index, erase_range, insert_range, insert_count,
        emplace, emplace_back
list:   remove, emplace, emplace_front, insert_range, insert_count
set:    erase_node, erase_range
map:    insert_or_assign
umap:   insert_or_assign, insert_or_assign_found
uset:   clear, equal, insert_found, union, difference, intersection,
        symmetric_difference, emplace, emplace_found, emplace_hint

vector swap does shrink_to_fit as in the STL.

The compare method is two-way operator< as in the STL, not operator> as in glouw/ctl. We support two-way and three-way compare for set, which needs more comparisons, but is safer.

Redesigned iterators and better range support. Much closer to the STL, and much faster. Full generic iterator support is in bits/iterator.h, bits/iterator_vtable.h, algorithm.h, the extended range methods, and foreach_range, foreach_n, foreach_n_range macros.

Reproducible tests with SEED=n, many more test improvements. Optimized test dependencies, time went from 25s to 3s even with ccache.

Optimized hashmaps with two growth policies and many security policies. Faster and more insecure with the policy CTL_USET_GROWTH_POWER2 instead of the default CTL_USET_GROWTH_PRIMED. Added the CTL_USET_CACHED_HASH policy for faster unsuccessful finds with high load factors, but more memory. The default CTL_USET_SECURITY_COLLCOUNTING policy is 2, using a customizable sleep() call on DDOS attack.

A flat hashmap and swisstable will be added with open addressing, thus no internal bucket methods, and faster, but pointers into it are disallowed. Flat sets and maps as open hashmaps and btree will support no pointer stability, and no iterator stability.

Optimized list, seperate connect before and after methods.

Implemented correct string and vector capacity policies, as in gcc libstdc++ and llvm libc++. Tested also against the libc++ from llvm and the Windows MSVC STL, not just the GNU libstdc++ v3.

Work is ongoing to finish the rest of algorithm.h, numeric.h and memory.h, add pair for map and btree_set, add proper string and identifier support. string_view and span (i.e. vector_view) not yet planned.

On errors, like size > max_size return silently. This avoids DDOS attacks. When assert is used, throw them. (when assert.h included, no NDEBUG. This is simlar to the no-exception abseil) glouw/ctl does not treat errors at all. There cannot be any.

Added formal verification tests for many functions, via cbmc for bounded loops and satabs for unbounded lists, which even caught a set.find error not caught by review, nor random testing nor sanitizers.

Support not only GNU make, but also BSD make and MSVC nmake. gen_images.sh is not bash-only anymore, and supports updating single graphs.

Tested also on macOS (default apple clang++ with libc++), FreeBSD (default clang with libc++), and Windows MSVC (default CL 19).

Differences to the STL

Our iterators are safe and fat with an end range. We supprt the equivalent of C++20 ranges (single arg iterator), not begin/end pairs. Not as safe as glouw/ctl iterators, but also not as slow. We need 2 assignments (currently. will be fixed), the STL needs one assignment, glouw/ctl needs three assignments. glouw/ctl is safe for destructive operations (i.e. insert, erase) in a foreach loop, we and the STL are not.

Our iterators are generic only for certain algorithm methods, where we use a 2nd range of any container type on a typed container. C++ classes use two indirections on all vtable calls. We inline all our iterator vtables, which are very short, 3 pointers, so we a tiny initialization overhead of 3 copies vs 1, but have no call overhead, unlike with C++. Specific iterator calls are completely inlined, only generic iterator calls in rare cases go through the vtable.

Our vector and string growth policies for multiple insertions are much better. E.g. in the set algos or insert_count. We reserve space at front, the STL piecewise in push_back/insert and this often leads to massive overallocation, hitting * 2. We try to mimic the upstream growth policies, but not its mistakes.

STL multiset and multimap variants will not be implemented because similar behaviour can be implemented as an amalgamation of a set and list.

STL string_view, span and short string optimizations are still missing.

STL methods returning a pair of iterator and bool have a _found suffix, return the iterator and set a int *foundp value. Eg.

int found;
map_T_insert_assign_found (self, key, &found);

Some algorithms and C++20 methods are still missing or are in work.

STL set algorithms such as set_union, set_difference, set_intersection, set_symmetric_difference do not work with unordered_set, because the specs require them to be ordered. The CTL set algorithms do work properly on unordered_set. Likewise we don't define any range iterators on unordered_set, as this is unordered by default.

hashmaps will not rely on chained lists with buckets, and can be either changed to open addressing or a better modern layout, such as Swiss tables (flat or node variants), the stanford hash for integers or even the currently fastest greg7mdp/parallel-hashmap. Thus the bucket interface methods will not be defined for all hashmap variants, except maybe max_bucket_count. hashmap policies are compile-time defined via #define CTL_USET_... and #define CTL_HMAP_...

u8string will get proper utf-8/unicode support, exceeding C++ STL. compare will check u8strings normalized to NFD. No wstring, u16string and u32string (most likely).

u8ident: POSIX std extension for people using utf-8 identifiers, but need security. See http://unicode.org/reports/tr39/ Like a kernel filesystem or user database or programming language in a UTF-8 terminal, UI widget or editor wishes to present identifiers, like names, paths or files identifiable. I.e. normalized and with identifiable characters only. Most don't display names as puny-code as webbrowers or email clients. Implement the Moderately Restrictive restriction level for identifiers as default.

  • All characters in the string are in the ASCII range, or
  • The string is single-script, according to the definition in TR39 Section 5.1, or
  • The string is covered by any of the following sets of scripts, according to the definition in TR39 Section 5.1: Latin + Han + Hiragana + Katakana; or equivalently: Latn + Jpan Latin + Han + Bopomofo; or equivalently: Latn + Hanb Latin + Han + Hangul; or equivalently: Latn + Kore, or
  • The string is covered by Latin and any one other Recommended script, except Cyrillic, Greek.
  • The string must be validated UTF-8 and normalized, and only consist of valid identifier characters. Reject violations, optionally warn about confusables.

No exceptions or errors. Just ignore or return NULL. If assert is included, use it, with a proper error message. No bloat and not many indirect calls (only compare and equal).

History

List of added, changed. removed features:

  • 202104 Apr ?? 2021

    • Added forward_list/slist.
    • Added generic iterators (GI) for insert_generic, assign_generic, merge_range, includes_range, equal_range, mismatch, lexicographical_compare, union_range, intersection_range, difference_range, symmetric_difference_range, search_range, find_first_of_range, find_end_range.
    • Added numeric: iota, iota_range.
    • algorithm: Added shuffle, iter_swap, reverse, reverse_range, lexicographical_compare, is_sorted, is_sorted_until. Requires now INCLUDE_ALGORITHM
    • array: Added difference, intersection, symmetric_difference, assign_range.
    • set: Added includes, includes_range.
    • string: Added find_if, find_if_not, find_if_range, find_if_not_range, includes, includes_range.
  • 202102 Feb 22 2021

    • Moved to ctl/ subdir. Use long names.
    • Added unordered_set, map, unordered_map, array.

Acknowledgements

Thank you https://github.com/glouw/ctl for the initial three-letter variant.

Thank you https://github.com/kully for the Plotly code, and thank you for the general review.

Thank you smlckz for the foreach cleanup.