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Julia.jl
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# https://julialang.org/
# 1.3 https://docs.julialang.org/
#! Keywords ===========================================================
# https://docs.julialang.org/en/v1/base/base/#Keywords-1
break
catch const continue
export
finally
global
else elseif
import
local
return
using
var
# reserved two-word sequences
abstract type
end
mutable struct
end
primitive type
end
# others
where
in
isa
#! Constant
ans
true
false
#! code folding ===========================================================
baremodule
end
begin
end
do
end
for
end
function
end
if
end
let
end
macro
end
module
end
quote
end
struct
end
try
end
while
end
#! Core ===========================================================
# https://docs.julialang.org/en/v1/base/base/
# base/boot.jl
module Core
isa(x, type) -> Bool
ifelse(condition::Bool, x, y)
typeassert(x, type)
typeof(x)
tuple(xs...)
getfield(value, name::Symbol)
setfield!(value, name::Symbol, x)
isdefined(m::Module, s::Symbol)
# Memory layout
fieldtype(T, name::Symbol | index::Int)
# Special Types
Any
DataType
Union{Types...}
Union{}
UnionAll
Tuple{Types...}
Type
TypeVar
NTuple{N,T}
NamedTuple
Vararg{T,N}
Nothing
const nothing
const Cvoid
Expr(head::Symbol, args...)
QuoteNode
LineNumberNode
GlobalRef
Symbol
Symbol(x...) -> Symbol
Module
# Generic Functions
Function
Method
WeakRef
VecElement
applicable(f, args...) -> Bool
invoke(f, argtypes::Type, args...; kwargs...)
# Syntax
eval(m::Module, expr)
# Errors
Exception
throw(e)
# Reflection
nfields(x) -> Int
end
module Base
# functions marked as keyword in the document
new()
ccall((function_name, library), returntype, (argtype1, ...), argvalue1, ...)
# others
include([m::Module,] path::AbstractString)
nameof(t::DataType) -> Symbol
sizeof(T::DataType)
error(message::AbstractString)
rethrow([e])
signed(x)
unsigned(x) -> Unsigned
float(x)
complex(r, [i])
string(n::Integer; base::Integer = 10, pad::Integer = 1)
show(x)
print([io::IO], xs...)
println([io::IO], xs...)
repr(mime, x; context=nothing)
end
module Main end
#! Modules ===========================================================
# https://docs.julialang.org/en/v1/base/base/
# base/exports.jl
module Base
exit(code=0)
atexit(f)
isinteractive() -> Bool
summarysize(obj; exclude=Union{...}, chargeall=Union{...}) -> Int
require(into::Module, module::Symbol)
compilecache(module::PkgId)
__precompile__(isprecompilable::Bool)
include_string(m::Module, code::AbstractString, filename::AbstractString="string")
include_dependency(path::AbstractString)
which(f, types)
methods(f, [types])
@show
isequal(x, y)
isless(x, y)
ntuple(f::Function, n::Integer)
objectid(x)
hash(x[, h::UInt])
finalizer(f, x)
finalize(x)
copy(x)
deepcopy(x)
getproperty(value, name::Symbol)
setproperty!(value, name::Symbol, x)
propertynames(x, private=false)
hasproperty(x, s::Symbol)
@isdefined s -> Bool
convert(T, x)
promote(xs...)
oftype(x, y)
widen(x)
identity(x)
# Properties of Types
supertype(T::DataType)
typejoin(T, S)
typeintersect(T, S)
promote_type(type1, type2)
promote_rule(type1, type2)
isdispatchtuple(T)
# Declared structure
isimmutable(v) -> Bool
isabstracttype(T)
isprimitivetype(T) -> Bool
isstructtype(T) -> Bool
fieldnames(x::DataType)
fieldname(x::DataType, i::Integer)
hasfield(T::Type, name::Symbol)
# Memory layout
isconcretetype(T)
isbits(x)
isbitstype(T)
fieldtypes(T::Type)
fieldcount(t::Type)
fieldoffset(type, i)
datatype_alignment(dt::DataType) -> Int
datatype_haspadding(dt::DataType) -> Bool
datatype_pointerfree(dt::DataType) -> Bool
# Special values
typemin(T)
typemax(T)
floatmin(T)
floatmax(T)
maxintfloat(T=Float64)
eps(::Type{T}) where T<:AbstractFloat
instances(T::Type)
# Special Types
Val{c}()
isnothing(x)
Some{T}
something(x, y...)
Enum{T<:Integer}
@enum EnumName[::BaseType] value1[=x] value2[=y]
# Generic Functions
hasmethod(f, t::Type{<:Tuple}[, kwnames]; world=typemax(UInt)) -> Bool
invokelatest(f, args...; kwargs...)
# Syntax
@eval [mod,] ex
evalfile(path::AbstractString, args::Vector{String}=String[])
esc(e)
@inbounds(blk)
@boundscheck(blk)
@propagate_inbounds
@inline
@noinline
@nospecialize
@specialize
gensym([tag])
@gensym
@goto name
@label name
@polly
@generated f
@pure ex
@deprecate old new [ex=true]
# Missing Values
Missing
const missing = Missing()
coalesce(x, y...)
ismissing(x)
skipmissing(itr)
# System
run(command, args...; wait::Bool = true)
const devnull
success(command)
process_running(p::Process)
process_exited(p::Process)
kill(p::Process, signum=SIGTERM)
ignorestatus(command)
detach(command)
Cmd(cmd::Cmd; ignorestatus, detach, windows_verbatim, windows_hide, env, dir)
setenv(command::Cmd, env; dir="")
withenv(f::Function, kv::Pair...)
pipeline(from, to, ...)
time_ns()
@time
@timev
@timed
@elapsed
@allocated
EnvDict() -> EnvDict
const ENV
@static
# Versioning
VersionNumber
# Events
Timer(callback::Function, delay; interval = 0)
AsyncCondition()
# Reflection
parentmodule(m::Module) -> Module
pathof(m::Module)
moduleroot(m::Module) -> Module
@__MODULE__ -> Module
fullname(m::Module)
names(x::Module; all::Bool = false, imported::Bool = false)
isconst(m::Module, s::Symbol) -> Bool
functionloc(f::Function, types)
# Internals
macroexpand(m::Module, x; recursive=true)
@macroexpand
@macroexpand1
code_lowered(f, types; generated=true, debuginfo=:default)
code_typed(f, types; optimize=true, debuginfo=:default)
precompile(f, args::Tuple{Vararg{Any}})
module Docs
end
module Meta
# Internals
lower(m, x)
@lower [m] x
parse(str, start; greedy=true, raise=true, depwarn=true)
@dump expr
end
module Sys
# System
set_process_title(title::AbstractString)
get_process_title()
end
module Threads
end
module GC
# Internals
gc()
enable(on::Bool)
@preserve x1 x2 ... xn expr
end
end
# Errors
# https://docs.julialang.org/en/v1/base/base/#Errors-1
module Core
ArgumentError(msg)
AssertionError([msg])
BoundsError([a],[i])
DivideError()
DomainError(val)
ErrorException(msg)
InexactError(name::Symbol, T, val)
InterruptException()
LoadError(file::AbstractString, line::Int, error)
MethodError(f, args)
OutOfMemoryError()
ReadOnlyMemoryError()
OverflowError(msg)
StackOverflowError()
SegmentationFault
TypeError(func::Symbol, context::AbstractString, expected::Type, got)
UndefKeywordError(var::Symbol)
UndefRefError()
UndefVarError(var::Symbol)
InitError(mod::Symbol, error)
end
module Base
backtrace()
catch_backtrace()
catch_stack(task=current_task(); [inclue_bt=true])
@assert cond [text]
CapturedException
CompositeException
DimensionMismatch([msg])
EOFError()
InvalidStateException
KeyError(key)
MissingException(msg)
ProcessFailedException
SystemError(prefix::AbstractString, [errno::Int32])
StringIndexError(str, i)
retry(f; delays=ExponentialBackOff(), check=nothing) -> Function
ExponentialBackOff(; n=1, first_delay=0.05, max_delay=10.0, factor=5.0, jitter=0.1)
end
# Collections and Data Structures
# https://docs.julialang.org/en/v1/base/collections/
module Base
iterate(iter [, state]) -> Union{Nothing, Tuple{Any, Any}}
IteratorSize(itertype::Type) -> IteratorSize
IteratorEltype(itertype::Type) -> IteratorEltype
# Constructors and Types
AbstractRange{T}
OrdinalRange{T, S} <: AbstractRange{T}
AbstractUnitRange{T} <: OrdinalRange{T, T}
StepRange{T, S} <: OrdinalRange{T, S}
UnitRange{T<:Real}
LinRange{T}
# General Collections
isempty(collection) -> Bool
empty!(collection) -> collection
length(collection) -> Integer
# Iterable Collections
in(item, collection) -> Bool
eltype(type)
indexin(a, b)
unique(itr)
unique!(f, A::AbstractVector)
allunique(itr) -> Bool
reduce(op, itr; [init])
foldl(op, itr; [init])
foldr(op, itr; [init])
maximum(f, itr)
maximum!(r, A)
minimum(f, itr)
minimum!(r, A)
extrema(itr) -> Tuple
argmax(itr) -> Integer
argmin(itr) -> Integer
findmax(itr) -> (x, index)
findmin(itr) -> (x, index)
findmax!(rval, rind, A) -> (maxval, index)
findmin!(rval, rind, A) -> (minval, index)
sum(f, itr)
sum!(r, A)
prod(f, itr)
prod!(r, A)
any(itr) -> Bool
any!(r, A)
all!(r, A)
count(p, itr) -> Integer
any(p, itr) -> Bool
all(p, itr) -> Bool
foreach(f, c...) -> Nothing
map(f, c...) -> collection
map!(function, destination, collection...)
mapreduce(f, op, itrs...; [init])
mapfoldl(f, op, itr; [init])
mapfoldr(f, op, itr; [init])
first(coll)
last(coll)
front(x::Tuple)::Tuple
tail(x::Tuple)::Tuple
step(r)
collect(collection)
filter(f, a::AbstractArray)
filter!(f, a::AbstractVector)
replace(A, old_new::Pair...; [count::Integer])
replace!(A, old_new::Pair...; [count::Integer])
# Indexable Collections
getindex(collection, key...)
setindex!(collection, value, key...)
firstindex(collection) -> Integer
lastindex(collection) -> Integer
# Dictionaries
AbstractDict{K, V}
Dict([itr])
IdDict([itr])
WeakKeyDict([itr])
ImmutableDict(KV::Pair)
haskey(collection, key) -> Bool
get(collection, key, default)
get!(collection, key, default)
getkey(collection, key, default)
delete!(collection, key)
pop!(collection, key[, default])
keys(iterator)
values(iterator)
pairs(collection)
merge(d::AbstractDict, others::AbstractDict...)
merge!(d::AbstractDict, others::AbstractDict...)
sizehint!(s, n)
keytype(T::Type{<:AbstractArray})
valtype(T::Type{<:AbstractArray})
# Set-Like Collections
AbstractSet{T}
Set([itr])
BitSet([itr])
union(s, itrs...)
union!(s::Union{AbstractSet,AbstractVector}, itrs...)
intersect(s, itrs...)
setdiff(s, itrs...)
symdiff(s, itrs...)
intersect!(s::Union{AbstractSet,AbstractVector}, itrs...)
issubset(a, b)
issetequal(a, b)
# Dequeues
push!(collection, items...) -> collection
pop!(collection) -> item
pushfirst!(collection, items...) -> collection
popfirst!(collection) -> item
insert!(a::Vector, index::Integer, item)
deleteat!(a::Vector, i::Integer)
splice!(a::Vector, index::Integer, [replacement]) -> item
resize!(a::Vector, n::Integer) -> Vector
append!(collection, collection2) -> collection.
prepend!(a::Vector, items) -> collection
# Utility Collections
Pair(x, y)
end
# Mathematics
# https://docs.julialang.org/en/v1/base/math/
module Base
fma(x, y, z)
muladd(x, y, z)
inv(x)
div(x, y)
fld(x, y)
cld(x, y)
mod(x, y)
rem(x, y, RoundDown)
divrem(x, y)
fldmod(x, y)
mod1(x, y)
fldmod1(x, y)
rationalize([T<:Integer=Int,] x; tol::Real=eps(x))
numerator(x)
denominator(x)
range(start[, stop]; length, stop, step=1)
OneTo(n)
StepRangeLen{T,R,S}(ref::R, step::S, len, [offset=1]) where {T,R,S}
cmp(x,y)
xor(x, y)
# Mathematical Functions
isapprox(x, y; rtol::Real=atol>0 ? 0 : √eps, atol::Real=0, nans::Bool=false, norm::Function)
sin(x)
cos(x)
tan(x)
sinh(x)
cosh(x)
tanh(x)
asin(x)
acos(x)
atan(y)
asinh(x)
acosh(x)
atanh(x)
log(x)
log2(x)
log10(x)
log1p(x)
exp(x)
exp2(x)
exp10(x)
expm1(x)
round([T,] x, [r::RoundingMode])
ceil([T,] x)
floor([T,] x)
trunc([T,] x)
unsafe_trunc(T, x)
min(x, y, ...)
abs(x)
abs2(x)
copysign(x, y) -> z
sign(x)
signbit(x)
flipsign(x, y)
sqrt(x)
isqrt(n::Integer)
real(z)
imag(z)
reim(z)
conj(z)
angle(z)
cis(z)
binomial(n::Integer, k::Integer)
factorial(n::Integer)
gcd(x,y)
lcm(x,y)
gcdx(x,y)
ispow2(n::Integer) -> Bool
nextpow(a, x)
prevpow(a, x)
nextprod([k_1, k_2,...], n)
invmod(x,m)
powermod(x::Integer, p::Integer, m)
ndigits(n::Integer; base::Integer=10, pad::Integer=1)
widemul(x, y)
module FastMath
@fastmath expr
end
end
module Base.Math
rem2pi(x, r::RoundingMode)
mod2pi(x)
# Mathematical Functions
sincos(x)
sind(x)
cosd(x)
tand(x)
sinpi(x)
cospi(x)
asind(x)
acosd(x)
atand(y)
atand(y,x)
sec(x)
csc(x)
cot(x)
secd(x)
cscd(x)
cotd(x)
asec(x)
acsc(x)
acot(x)
asecd(x)
acscd(x)
acotd(x)
sech(x)
csch(x)
coth(x)
asech(x)
acsch(x)
acoth(x)
sinc(x)
cosc(x)
cosc(x)
deg2rad(x)
rad2deg(x)
hypot(x, y)
frexp(val)
ldexp(x, n)
modf(x)
clamp(x, lo, hi)
clamp!(array::AbstractArray, lo, hi)
cbrt(x::Real)
@evalpoly(z, c...)
end
module Base.Checked
checked_abs(x)
checked_neg(x)
checked_add(x, y)
checked_sub(x, y)
checked_mul(x, y)
checked_div(x, y)
checked_rem(x, y)
checked_fld(x, y)
checked_mod(x, y)
checked_cld(x, y)
add_with_overflow(x, y) -> (r, f)
sub_with_overflow(x, y) -> (r, f)
mul_with_overflow(x, y) -> (r, f)
end
# Numbers
# https://docs.julialang.org/en/v1/base/numbers/
module Core
# Standard Numeric Types
Number
Real <: Number
AbstractFloat <: Real
Integer <: Real
Signed <: Integer
Int
Unsigned <: Integer
UInt
AbstractIrrational <: Real
# Concrete number types
Float16 <: AbstractFloat
Float32 <: AbstractFloat
Float64 <: AbstractFloat
Bool <: Integer
Int8 <: Signed
UInt8 <: Unsigned
Int16 <: Signed
UInt16 <: Unsigned
Int32 <: Signed
UInt32 <: Unsigned
Int64 <: Signed
UInt64 <: Unsigned
Int128 <: Signed
UInt128 <: Unsigned
end
module Base
# Concrete number types
Complex{T<:Real} <: Number
ComplexF64
ComplexF32
ComplexF16
Rational{T<:Integer} <: Real
Irrational{sym} <: AbstractIrrational
module MPFR
BigFloat <: AbstractFloat
BigInt <: Signed
end
# Data Formats
digits([T<:Integer], n::Integer; base::T = 10, pad::Integer = 1)
digits!(array, n::Integer; base::Integer = 10)
bitstring(n)
parse(type, str; base)
tryparse(type, str; base)
big(x)
module Math
significand(x)
exponent(x) -> Int
end
bswap(n)
hex2bytes(s::Union{AbstractString,AbstractVector{UInt8}})
hex2bytes!(d::AbstractVector{UInt8}, s::Union{String,AbstractVector{UInt8}})
bytes2hex(a::AbstractArray{UInt8}) -> String
# General Number Functions and Constants
one(x)
oneunit(x::T)
zero(x)
const im
const Inf
const Inf64
const Inf32
const Inf16
const NaN
const NaN64
const NaN32
const NaN16
module MathConstants
const pi
const catalan
const eulergamma
const golden
const catalan
end
issubnormal(f) -> Bool
isfinite(f) -> Bool
isinf(f) -> Bool
isnan(f) -> Bool
iszero(x)
isone(x)
nextfloat(x::AbstractFloat, n::Integer)
prevfloat(x::AbstractFloat, n::Integer)
isinteger(x) -> Bool
isreal(x) -> Bool
module Rounding
RoundingMode
const RoundNearest
const RoundNearestTiesAway
const RoundNearestTiesUp
const RoundToZero
const RoundFromZero
const RoundUp
const RoundDown
rounding(T)
setrounding(T, mode)
get_zero_subnormals() -> Bool
set_zero_subnormals(yes::Bool) -> Bool
end
# Integers
count_ones(x::Integer) -> Integer
count_zeros(x::Integer) -> Integer
leading_zeros(x::Integer) -> Integer
leading_ones(x::Integer) -> Integer
trailing_zeros(x::Integer) -> Integer
trailing_ones(x::Integer) -> Integer
isodd(x::Integer) -> Bool
iseven(x::Integer) -> Bool
# BigFloats and BigInts
precision(num::AbstractFloat)
end
# Strings
# https://docs.julialang.org/en/v1/base/strings/
module Core
AbstractChar
Char(c::Union{Number,AbstractChar})
AbstractString
String(s::AbstractString)
IO
end
module Base
codepoint(c::AbstractChar) -> Integer
length(s::AbstractString) -> Int
repeat(s::AbstractString, r::Integer)
repr(x; context=nothing)
SubString(s::AbstractString, i::Integer, j::Integer=lastindex(s))
transcode(T, src)
unsafe_string(p::Ptr{UInt8}, [length::Integer])
ncodeunits(s::AbstractString) -> Int
codeunit(s::AbstractString) -> Type{<:Union{UInt8, UInt16, UInt32}}
codeunits(s::AbstractString)
ascii(s::AbstractString)
Regex
RegexMatch
SubstitutionString(substr)
isvalid(value) -> Bool
match(r::Regex, s::AbstractString[, idx::Integer[, addopts]])
eachmatch(r::Regex, s::AbstractString; overlap::Bool=false)
isless(a::AbstractString, b::AbstractString) -> Bool
cmp(a::AbstractString, b::AbstractString) -> Int
lpad(s, n::Integer, p::Union{AbstractChar,AbstractString}=' ') -> String
rpad(s, n::Integer, p::Union{AbstractChar,AbstractString}=' ') -> String
findfirst(pattern::AbstractString, string::AbstractString)
findnext(pattern::AbstractString, string::AbstractString, start::Integer)
findlast(pattern::AbstractString, string::AbstractString)
findprev(pattern::AbstractString, string::AbstractString, start::Integer)
occursin(needle::Union{AbstractString,Regex,AbstractChar}, haystack::AbstractString)
reverse(s::AbstractString) -> AbstractString
replace(s::AbstractString, pat=>r; [count::Integer])
split(str::AbstractString, dlm; limit::Integer=0, keepempty::Bool=true)
rsplit(s::AbstractString; limit::Integer=0, keepempty::Bool=false)
strip([pred=isspace,] str::AbstractString)
lstrip([pred=isspace,] str::AbstractString)
rstrip([pred=isspace,] str::AbstractString)
startswith(s::AbstractString, prefix::AbstractString)
endswith(s::AbstractString, suffix::AbstractString)
first(s::AbstractString, n::Integer)
last(s::AbstractString, n::Integer)
module Unicode
uppercase(s::AbstractString)
lowercase(s::AbstractString)
titlecase(s::AbstractString; [wordsep::Function], strict::Bool=true) -> String
uppercasefirst(s::AbstractString) -> String
lowercasefirst(s::AbstractString)
textwidth(c)
iscntrl(c::AbstractChar) -> Bool
isdigit(c::AbstractChar) -> Bool
isletter(c::AbstractChar) -> Bool
islowercase(c::AbstractChar) -> Bool
isnumeric(c::AbstractChar) -> Bool
isprint(c::AbstractChar) -> Bool
ispunct(c::AbstractChar) -> Bool
isspace(c::AbstractChar) -> Bool
isuppercase(c::AbstractChar) -> Bool
isxdigit(c::AbstractChar) -> Bool
end
join([io::IO,] strings, delim, [last])
chop(s::AbstractString; head::Integer = 0, tail::Integer = 1)
chomp(s::AbstractString)
thisind(s::AbstractString, i::Integer) -> Int
nextind(str::AbstractString, i::Integer, n::Integer=1) -> Int
prevind(str::AbstractString, i::Integer, n::Integer=1) -> Int
isascii(c::Union{AbstractChar,AbstractString}) -> Bool
escape_string(str::AbstractString[, esc])::AbstractString
unescape_string(str::AbstractString)::AbstractString
end
# Arrays
# https://docs.julialang.org/en/v1/base/arrays/
module Core
# Constructors and Types
AbstractArray{T,N}
DenseArray
Array{T,N} <: AbstractArray{T,N}
UndefInitializer
const undef
end
module Base
# Constructors and Types
AbstractVector{T}
AbstractMatrix{T}
AbstractVecOrMat{T}
Vector{T} <: AbstractVector{T}
Matrix{T} <: AbstractMatrix{T}
VecOrMat{T}
DenseVector{T}
DenseMatrix{T}
DenseVecOrMat{T}
StridedArray{T, N}
StridedVector{T}
SubArray
StridedMatrix{T}
StridedVecOrMat{T}
getindex(type[, elements...])
zeros([T=Float64,] dims...)
ones([T=Float64,] dims...)
BitArray{N} <: AbstractArray{Bool, N}
BitVector
BitMatrix
trues(dims)
falses(dims)
fill(x, dims)
fill!(A, x)
similar(array, [element_type=eltype(array)], [dims=size(array)])
similar(storagetype, axes)
# Basic functions
ndims(A::AbstractArray) -> Integer
size(A::AbstractArray, [dim])
axes(A)
axes(A, d)
length(A::AbstractArray)
eachindex(A...)
IndexStyle(A)
IndexLinear()
IndexCartesian()
conj!(A)
stride(A, k::Integer)
strides(A)
# Broadcast and vectorization
module Broadcast
broadcast(f, As...)
broadcast!(f, dest, As...)
BroadcastStyle
AbstractArrayStyle{N} <: BroadcastStyle
ArrayStyle{MyArrayType}()
DefaultArrayStyle{N}()
broadcastable(x)
combine_axes(As...) -> Tuple
combine_styles(cs...) -> BroadcastStyle
result_style(s1::BroadcastStyle[, s2::BroadcastStyle]) -> BroadcastStyle
end
getindex(A, inds...)
setindex!(A, X, inds...)
copyto!(dest, Rdest::CartesianIndices, src, Rsrc::CartesianIndices) -> dest
isassigned(array, i) -> Bool
Colon()
module IteratorsMD
CartesianIndex(i, j, k...) -> I
CartesianIndex((i, j, k...)) -> I
CartesianIndices(sz::Dims) -> R
CartesianIndices((istart:istop, jstart:jstop, ...)) -> R
end
Dims{N}
LinearIndices(A::AbstractArray)
to_indices(A, I::Tuple)
checkbounds(Bool, A, I...)
checkindex(Bool, inds::AbstractUnitRange, index)
# Views (SubArrays and other view types)
view(A, inds...)
@view A[inds...]
@views expression
parent(A)
parentindices(A)
selectdim(A, d::Integer, i)
reinterpret(type, A)
reshape(A, dims...) -> AbstractArray
dropdims(A; dims)
vec(a::AbstractArray) -> AbstractVector
# Concatenation and permutation
cat(A...; dims=dims)
vcat(A...)
hcat(A...)
hvcat(rows::Tuple{Vararg{Int}}, values...)
vect(X...)
circshift(A, shifts)
circshift!(dest, src, shifts)
circcopy!(dest, src)
findall(A)
findall(f::Function, A)
findfirst(A)
findlast(A)
findnext(A, i)
findprev(A, i)
permutedims(A::AbstractArray, perm)
permutedims!(dest, src, perm)
PermutedDimsArray(A, perm) -> B
promote_shape(s1, s2)
# Array functions
accumulate(op, A; dims::Integer, [init])
accumulate!(op, B, A; [dims], [init])
cumprod(A; dims::Integer)
cumprod!(B, A; dims::Integer)
cumsum(A; dims::Integer)
cumsum!(B, A; dims::Integer)
diff(A::AbstractVector)
repeat(A::AbstractArray, counts::Integer...)
rot180(A)
rotl90(A)
rotr90(A)
mapslices(f, A; dims)
# Combinatorics
invperm(v)
isperm(v) -> Bool
permute!(v, p)
reverse(v [, start=1 [, stop=length(v) ]] )
reverseind(v, i)