# This file is a part of Julia. License is MIT: http://julialang.org/license

# Base.LinAlg.BLAS

import .Docs: keywords

doc"""
    ger!(alpha, x, y, A)

Rank-1 update of the matrix `A` with vectors `x` and `y` as `alpha*x*y' + A`.
"""
LinAlg.BLAS.ger!

doc"""
    gbmv!(trans, m, kl, ku, alpha, A, x, beta, y)

Update vector `y` as `alpha*A*x + beta*y` or `alpha*A'*x + beta*y` according to `trans` ('N' or 'T'). The matrix `A` is a general band matrix of dimension `m` by `size(A,2)` with `kl` sub-diagonals and `ku` super-diagonals. Returns the updated `y`.
"""
LinAlg.BLAS.gbmv!

doc"""
    gbmv(trans, m, kl, ku, alpha, A, x, beta, y)

Returns `alpha*A*x` or `alpha*A'*x` according to `trans` ('N' or 'T'). The matrix `A` is a general band matrix of dimension `m` by `size(A,2)` with `kl` sub-diagonals and `ku` super-diagonals.
"""
LinAlg.BLAS.gbmv

doc"""
    gemm!(tA, tB, alpha, A, B, beta, C)

Update `C` as `alpha*A*B + beta*C` or the other three variants according to `tA` (transpose `A`) and `tB`. Returns the updated `C`.
"""
LinAlg.BLAS.gemm!

doc"""
    gemv!(tA, alpha, A, x, beta, y)

Update the vector `y` as `alpha*A*x + beta*y` or `alpha*A'x + beta*y` according to `tA` (transpose `A`). Returns the updated `y`.
"""
LinAlg.BLAS.gemv!

doc"""
    blascopy!(n, X, incx, Y, incy)

Copy `n` elements of array `X` with stride `incx` to array `Y` with stride `incy`. Returns `Y`.
"""
LinAlg.BLAS.blascopy!

doc"""
    scal!(n, a, X, incx)

Overwrite `X` with `a*X`. Returns `X`.
"""
LinAlg.BLAS.scal!

doc"""
    gemv(tA, alpha, A, x)

Returns `alpha*A*x` or `alpha*A'x` according to `tA` (transpose `A`).
"""
LinAlg.BLAS.gemv(tA, alpha, A, x)

doc"""
    gemv(tA, A, x)

Returns `A*x` or `A'x` according to `tA` (transpose `A`).
"""
LinAlg.BLAS.gemv(tA, A, x)

doc"""
    syr!(uplo, alpha, x, A)

Rank-1 update of the symmetric matrix `A` with vector `x` as `alpha*x*x.' + A`. When `uplo` is 'U' the upper triangle of `A` is updated ('L' for lower triangle). Returns `A`.
"""
LinAlg.BLAS.syr!

doc"""
    trsm!(side, ul, tA, dA, alpha, A, B)

Overwrite `B` with the solution to `A*X = alpha*B` or one of the other three variants determined by `side` (`A` on left or right of `X`) and `tA` (transpose `A`). Only the `ul` triangle of `A` is used. `dA` indicates if `A` is unit-triangular (the diagonal is assumed to be all ones). Returns the updated `B`.
"""
LinAlg.BLAS.trsm!

doc"""
    trsv!(ul, tA, dA, A, b)

Overwrite `b` with the solution to `A*x = b` or one of the other two variants determined by `tA` (transpose `A`) and `ul` (triangle of `A` used). `dA` indicates if `A` is unit-triangular (the diagonal is assumed to be all ones). Returns the updated `b`.
"""
LinAlg.BLAS.trsv!

doc"""
    her!(uplo, alpha, x, A)

Methods for complex arrays only. Rank-1 update of the Hermitian matrix `A` with vector `x` as `alpha*x*x' + A`. When `uplo` is 'U' the upper triangle of `A` is updated ('L' for lower triangle). Returns `A`.
"""
LinAlg.BLAS.her!

doc"""
    trsv(ul, tA, dA, A, b)

Returns the solution to `A*x = b` or one of the other two variants determined by `tA` (transpose `A`) and `ul` (triangle of `A` is used.) `dA` indicates if `A` is unit-triangular (the diagonal is assumed to be all ones).
"""
LinAlg.BLAS.trsv

doc"""
    dot(n, X, incx, Y, incy)

Dot product of two vectors consisting of `n` elements of array `X` with stride `incx` and `n` elements of array `Y` with stride `incy`.
"""
LinAlg.BLAS.dot

doc"""
    dotu(n, X, incx, Y, incy)

Dot function for two complex vectors.
"""
LinAlg.BLAS.dotu

doc"""
    herk!(uplo, trans, alpha, A, beta, C)

Methods for complex arrays only. Rank-k update of the Hermitian matrix `C` as `alpha*A*A' + beta*C` or `alpha*A'*A + beta*C` according to whether `trans` is 'N' or 'T'. When `uplo` is 'U' the upper triangle of `C` is updated ('L' for lower triangle). Returns `C`.
"""
LinAlg.BLAS.herk!

doc"""
    trmv(side, ul, tA, dA, alpha, A, b)

Returns `alpha*A*b` or one of the other three variants determined by `side` (`A` on left or right) and `tA` (transpose `A`). Only the `ul` triangle of `A` is used. `dA` indicates if `A` is unit-triangular (the diagonal is assumed to be all ones).
"""
LinAlg.BLAS.trmv

doc"""
    symv(ul, alpha, A, x)

Returns `alpha*A*x`. `A` is assumed to be symmetric. Only the `ul` triangle of `A` is used.
"""
LinAlg.BLAS.symv(ul, alpha, A, x)

doc"""
    symv(ul, A, x)

Returns `A*x`. `A` is assumed to be symmetric. Only the `ul` triangle of `A` is used.
"""
LinAlg.BLAS.symv(ul, A, x)

doc"""
    dotc(n, X, incx, U, incy)

Dot function for two complex vectors conjugating the first vector.
"""
LinAlg.BLAS.dotc

doc"""
    axpy!(a, X, Y)

Overwrite `Y` with `a*X + Y`. Returns `Y`.
"""
LinAlg.BLAS.axpy!

doc"""
    syrk!(uplo, trans, alpha, A, beta, C)

Rank-k update of the symmetric matrix `C` as `alpha*A*A.' + beta*C` or `alpha*A.'*A + beta*C` according to whether `trans` is 'N' or 'T'. When `uplo` is 'U' the upper triangle of `C` is updated ('L' for lower triangle). Returns `C`.
"""
LinAlg.BLAS.syrk!

doc"""
    sbmv(uplo, k, alpha, A, x)

Returns `alpha*A*x` where `A` is a symmetric band matrix of order `size(A,2)` with `k` super-diagonals stored in the argument `A`.
"""
LinAlg.BLAS.sbmv(uplo, k, alpha, A, x)

doc"""
    sbmv(uplo, k, A, x)

Returns `A*x` where `A` is a symmetric band matrix of order `size(A,2)` with `k` super-diagonals stored in the argument `A`.
"""
LinAlg.BLAS.sbmv(uplo, k, A, x)

doc"""
    sbmv!(uplo, k, alpha, A, x, beta, y)

Update vector `y` as `alpha*A*x + beta*y` where `A` is a a symmetric band matrix of order `size(A,2)` with `k` super-diagonals stored in the argument `A`. The storage layout for `A` is described the reference BLAS module, level-2 BLAS at <http://www.netlib.org/lapack/explore-html/>.

Returns the updated `y`.
"""
LinAlg.BLAS.sbmv!

doc"""
    symv!(ul, alpha, A, x, beta, y)

Update the vector `y` as `alpha*A*x + beta*y`. `A` is assumed to be symmetric. Only the `ul` triangle of `A` is used. Returns the updated `y`.
"""
LinAlg.BLAS.symv!

doc"""
    symm(side, ul, alpha, A, B)

Returns `alpha*A*B` or `alpha*B*A` according to `side`. `A` is assumed to be symmetric. Only the `ul` triangle of `A` is used.
"""
LinAlg.BLAS.symm(side, ul, alpha, A, B)

doc"""
    symm(side, ul, A, B)

Returns `A*B` or `B*A` according to `side`. `A` is assumed to be symmetric. Only the `ul` triangle of `A` is used.
"""
LinAlg.BLAS.symm(side, ul, A, B)

doc"""
    symm(tA, tB, alpha, A, B)

Returns `alpha*A*B` or the other three variants according to `tA` (transpose `A`) and `tB`.
"""
LinAlg.BLAS.symm(tA::Char, tB::Char, alpha, A, B)

doc"""
    herk(uplo, trans, alpha, A)

Methods for complex arrays only. Returns either the upper triangle or the lower triangle, according to `uplo` ('U' or 'L'), of `alpha*A*A'` or `alpha*A'*A`, according to `trans` ('N' or 'T').
"""
LinAlg.BLAS.herk

doc"""
    syrk(uplo, trans, alpha, A)

Returns either the upper triangle or the lower triangle, according to `uplo` ('U' or 'L'), of `alpha*A*A.'` or `alpha*A.'*A`, according to `trans` ('N' or 'T').
"""
LinAlg.BLAS.syrk

doc"""
    trsm(side, ul, tA, dA, alpha, A, B)

Returns the solution to `A*X = alpha*B` or one of the other three variants determined by `side` (`A` on left or right of `X`) and `tA` (transpose `A`). Only the `ul` triangle of `A` is used. `dA` indicates if `A` is unit-triangular (the diagonal is assumed to be all ones).
"""
LinAlg.BLAS.trsm

doc"""
    blas_set_num_threads(n)

Set the number of threads the BLAS library should use.
"""
LinAlg.BLAS.blas_set_num_threads

doc"""
    asum(n, X, incx)

sum of the absolute values of the first `n` elements of array `X` with stride `incx`.
"""
LinAlg.BLAS.asum

doc"""
    trmv!(side, ul, tA, dA, alpha, A, b)

Update `b` as `alpha*A*b` or one of the other three variants determined by `side` (`A` on left or right) and `tA` (transpose `A`). Only the `ul` triangle of `A` is used. `dA` indicates if `A` is unit-triangular (the diagonal is assumed to be all ones). Returns the updated `b`.
"""
LinAlg.BLAS.trmv!

doc"""
    gemm(tA, tB, alpha, A, B)

Returns `alpha*A*B` or the other three variants according to `tA` (transpose `A`) and `tB`.
"""
LinAlg.BLAS.gemm(tA, tB, alpha, A, B)

doc"""
    gemm(tA, tB, A, B)

Returns `A*B` or the other three variants according to `tA` (transpose `A`) and `tB`.
"""
LinAlg.BLAS.gemm(tA, tB, A, B)

doc"""
    symm!(side, ul, alpha, A, B, beta, C)

Update `C` as `alpha*A*B + beta*C` or `alpha*B*A + beta*C` according to `side`. `A` is assumed to be symmetric. Only the `ul` triangle of `A` is used. Returns the updated `C`.
"""
LinAlg.BLAS.symm!

doc"""
    scal(n, a, X, incx)

Returns `a*X`.
"""
LinAlg.BLAS.scal

doc"""
    nrm2(n, X, incx)

2-norm of a vector consisting of `n` elements of array `X` with stride `incx`.
"""
LinAlg.BLAS.nrm2

doc"""
    trmm!(side, ul, tA, dA, alpha, A, B)

Update `B` as `alpha*A*B` or one of the other three variants determined by `side` (`A` on left or right) and `tA` (transpose `A`). Only the `ul` triangle of `A` is used. `dA` indicates if `A` is unit-triangular (the diagonal is assumed to be all ones). Returns the updated `B`.
"""
LinAlg.BLAS.trmm!

doc"""
    trmm(side, ul, tA, dA, alpha, A, B)

Returns `alpha*A*B` or one of the other three variants determined by `side` (`A` on left or right) and `tA` (transpose `A`). Only the `ul` triangle of `A` is used. `dA` indicates if `A` is unit-triangular (the diagonal is assumed to be all ones).
"""
LinAlg.BLAS.trmm

# Libdl

doc"""
    dlopen(libfile::AbstractString [, flags::Integer])

Load a shared library, returning an opaque handle.

The optional flags argument is a bitwise-or of zero or more of `RTLD_LOCAL`, `RTLD_GLOBAL`, `RTLD_LAZY`, `RTLD_NOW`, `RTLD_NODELETE`, `RTLD_NOLOAD`, `RTLD_DEEPBIND`, and `RTLD_FIRST`. These are converted to the corresponding flags of the POSIX (and/or GNU libc and/or MacOS) dlopen command, if possible, or are ignored if the specified functionality is not available on the current platform. The default flags are platform specific. On MacOS the default `dlopen` flags are `RTLD_LAZY|RTLD_DEEPBIND|RTLD_GLOBAL` while on other platforms the defaults are `RTLD_LAZY|RTLD_DEEPBIND|RTLD_LOCAL`. An important usage of these flags is to specify non default behavior for when the dynamic library loader binds library references to exported symbols and if the bound references are put into process local or global scope. For instance `RTLD_LAZY|RTLD_DEEPBIND|RTLD_GLOBAL` allows the library's symbols to be available for usage in other shared libraries, addressing situations where there are dependencies between shared libraries.
"""
Libdl.dlopen

doc"""
    dlclose(handle)

Close shared library referenced by handle.
"""
Libdl.dlclose

doc"""
    dlsym_e(handle, sym)

Look up a symbol from a shared library handle, silently return `NULL` pointer on lookup failure.
"""
Libdl.dlsym_e

doc"""
```rst
..  dlopen_e(libfile::AbstractString [, flags::Integer])

Similar to :func:`dlopen`, except returns a ``NULL`` pointer instead of raising errors.
```
"""
Libdl.dlopen_e

doc"""
    find_library(names, locations)

Searches for the first library in `names` in the paths in the `locations` list, `DL_LOAD_PATH`, or system library paths (in that order) which can successfully be dlopen'd. On success, the return value will be one of the names (potentially prefixed by one of the paths in locations). This string can be assigned to a `global const` and used as the library name in future `ccall`'s. On failure, it returns the empty string.
"""
Libdl.find_library

doc"""
    dlsym(handle, sym)

Look up a symbol from a shared library handle, return callable function pointer on success.
"""
Libdl.dlsym

# Libc

doc"""
    TmStruct([seconds])

Convert a number of seconds since the epoch to broken-down format, with fields `sec`, `min`, `hour`, `mday`, `month`, `year`, `wday`, `yday`, and `isdst`.
"""
Libc.TmStruct

doc"""
    dlext

File extension for dynamic libraries (e.g. dll, dylib, so) on the current platform.
"""
Libdl.dlext

doc"""
    time(t::TmStruct)

Converts a `TmStruct` struct to a number of seconds since the epoch.
"""
Libc.time

doc"""
    calloc(num::Integer, size::Integer) -> Ptr{Void}

Call `calloc` from the C standard library.
"""
Libc.calloc

doc"""
    strerror(n=errno())

Convert a system call error code to a descriptive string
"""
Libc.strerror

doc"""
    realloc(addr::Ptr, size::Integer) -> Ptr{Void}

Call `realloc` from the C standard library.

See warning in the documentation for `free` regarding only using this on memory originally obtained from `malloc`.
"""
Libc.realloc

doc"""
    free(addr::Ptr)

Call `free` from the C standard library. Only use this on memory obtained from `malloc`, not on pointers retrieved from other C libraries. `Ptr` objects obtained from C libraries should be freed by the free functions defined in that library, to avoid assertion failures if multiple `libc` libraries exist on the system.
"""
Libc.free

doc"""
    strftime([format], time)

Convert time, given as a number of seconds since the epoch or a `TmStruct`, to a formatted string using the given format. Supported formats are the same as those in the standard C library.
"""
Libc.strftime

doc"""
    errno([code])

Get the value of the C library's `errno`. If an argument is specified, it is used to set the value of `errno`.

The value of `errno` is only valid immediately after a `ccall` to a C library routine that sets it. Specifically, you cannot call `errno` at the next prompt in a REPL, because lots of code is executed between prompts.
"""
Libc.errno

doc"""
    malloc(size::Integer) -> Ptr{Void}

Call `malloc` from the C standard library.
"""
Libc.malloc

doc"""
    strptime([format], timestr)

Parse a formatted time string into a `TmStruct` giving the seconds, minute, hour, date, etc. Supported formats are the same as those in the standard C library. On some platforms, timezones will not be parsed correctly. If the result of this function will be passed to `time` to convert it to seconds since the epoch, the `isdst` field should be filled in manually. Setting it to `-1` will tell the C library to use the current system settings to determine the timezone.
"""
Libc.strptime

doc"""
    flush_cstdio()

Flushes the C `stdout` and `stderr` streams (which may have been written to by external C code).
"""
Libc.flush_cstdio

doc"""
```rst
..  msync(ptr, len, [flags])

Forces synchronization of the :func:`mmap`\ ped memory region from ``ptr`` to ``ptr+len``. Flags defaults to ``MS_SYNC``, but can be a combination of ``MS_ASYNC``, ``MS_SYNC``, or ``MS_INVALIDATE``. See your platform man page for specifics. The flags argument is not valid on Windows.

You may not need to call ``msync``, because synchronization is performed at intervals automatically by the operating system. However, you can call this directly if, for example, you are concerned about losing the result of a long-running calculation.
```
"""
Libc.msync

# Base.Collections

doc"""
```rst
..  PriorityQueue(K, V, [ord])

Construct a new :obj:`PriorityQueue`, with keys of type ``K`` and values/priorites of
type ``V``. If an order is not given, the priority queue is min-ordered using
the default comparison for ``V``.
```
"""
Collections.PriorityQueue

doc"""
    enqueue!(pq, k, v)

Insert the a key `k` into a priority queue `pq` with priority `v`.
"""
Collections.enqueue!

doc"""
    dequeue!(pq)

Remove and return the lowest priority key from a priority queue.
"""
Collections.dequeue!

doc"""
    peek(pq)

Return the lowest priority key from a priority queue without removing that key from the queue.
"""
Collections.peek

doc"""
```rst
..  heapify!(v, [ord])

In-place :func:`heapify`.
```
"""
Collections.heapify!

doc"""
    heappush!(v, x, [ord])

Given a binary heap-ordered array, push a new element `x`, preserving the heap property. For efficiency, this function does not check that the array is indeed heap-ordered.
"""
Collections.heappush!

doc"""
    heappop!(v, [ord])

Given a binary heap-ordered array, remove and return the lowest ordered element. For efficiency, this function does not check that the array is indeed heap-ordered.
"""
Collections.heappop!

doc"""
    heapify(v, [ord])

Return a new vector in binary heap order, optionally using the given ordering.
"""
Collections.heapify

doc"""
    isheap(v, [ord])

Return `true` iff an array is heap-ordered according to the given order.
"""
Collections.isheap

# Base.Test

doc"""
    @test_throws(extype, ex)

Test that the expression `ex` throws an exception of type `extype` and calls the current handler to handle the result.
"""
:(Test.@test_throws)

doc"""
    @test_approx_eq_eps(a, b, tol)

Test two floating point numbers `a` and `b` for equality taking in account a margin of tolerance given by `tol`.
"""
:(Test.@test_approx_eq_eps)

doc"""
    @test(ex)

Test the expression `ex` and calls the current handler to handle the result.
"""
:(Test.@test)

doc"""
    @test_approx_eq(a, b)

Test two floating point numbers `a` and `b` for equality taking in account small numerical errors.
"""
:(Test.@test_approx_eq)

doc"""
    with_handler(f, handler)

Run the function `f` using the `handler` as the handler.
"""
Test.with_handler

# Base.Profile

doc"""
```rst
..  print([io::IO = STDOUT,] [data::Vector]; format = :tree, C = false, combine = true, cols = tty_cols(), maxdepth = typemax(Int), sortedby = :filefuncline)

Prints profiling results to ``io`` (by default, ``STDOUT``). If you
do not supply a ``data`` vector, the internal buffer of accumulated
backtraces will be used.  ``format`` can be ``:tree`` or
``:flat``. If ``C==true``, backtraces from C and Fortran code are
shown. ``combine==true`` merges instruction pointers that
correspond to the same line of code.  ``cols`` controls the width
of the display. ``maxdepth`` can be used to limit the depth of printing in ``:tree``
format, while ``sortedby`` can be used to control the order in ``:flat``
format (``:filefuncline`` sorts by the source line, whereas ``:count``
sorts in order of number of collected samples).
```
"""
Profile.print(io::IO = STDOUT, data::Vector=?)

doc"""
```rst
..  print([io::IO = STDOUT,] data::Vector, lidict::Dict; kwargs)

Prints profiling results to ``io``. This variant is used to examine
results exported by a previous call to :func:`retrieve`.
Supply the vector ``data`` of backtraces and a dictionary
``lidict`` of line information.

See ``Profile.print([io], data)`` for an explanation of the valid keyword arguments.
```
"""
Profile.print(io::IO = STDOUT, data::Vector = ?, lidict::Dict = ?)

doc"""
    init(; n::Integer, delay::Float64)

Configure the `delay` between backtraces (measured in seconds), and the number `n` of instruction pointers that may be stored. Each instruction pointer corresponds to a single line of code; backtraces generally consist of a long list of instruction pointers. Default settings can be obtained by calling this function with no arguments, and each can be set independently using keywords or in the order `(n, delay)`.
"""
Profile.init

doc"""
```rst
..  clear_malloc_data()

Clears any stored memory allocation data when running julia with
``--track-allocation``.  Execute the command(s) you want to test
(to force JIT-compilation), then call :func:`clear_malloc_data`.
Then execute your command(s) again, quit Julia, and examine the
resulting ``*.mem`` files.
```
"""
Profile.clear_malloc_data

doc"""
```rst
..  callers(funcname, [data, lidict], [filename=<filename>], [linerange=<start:stop>]) -> Vector{Tuple{count, linfo}}

Given a previous profiling run, determine who called a particular
function. Supplying the filename (and optionally, range of line
numbers over which the function is defined) allows you to
disambiguate an overloaded method. The returned value is a vector
containing a count of the number of calls and line information
about the caller.  One can optionally supply backtrace data
obtained from :func:`retrieve`; otherwise, the current internal profile
buffer is used.
```
"""
Profile.callers

doc"""
```rst
..  fetch() -> data

Returns a reference to the internal buffer of backtraces. Note that
subsequent operations, like :func:`clear`, can affect
``data`` unless you first make a copy. Note that the values in
``data`` have meaning only on this machine in the current session,
because it depends on the exact memory addresses used in
JIT-compiling. This function is primarily for internal use;
:func:`retrieve` may be a better choice for most users.
```
"""
Profile.fetch

doc"""
    retrieve() -> data, lidict

"Exports" profiling results in a portable format, returning the set of all backtraces (`data`) and a dictionary that maps the (session-specific) instruction pointers in `data` to `LineInfo` values that store the file name, function name, and line number. This function allows you to save profiling results for future analysis.
"""
Profile.retrieve

doc"""
    clear()

Clear any existing backtraces from the internal buffer.
"""
Profile.clear

# Base.Cartesian

doc"""
    @nall N expr

`@nall 3 d->(i_d > 1)` would generate the expression `(i_1 > 1 && i_2 > 1 && i_3 > 1)`. This can be convenient for bounds-checking.
"""
:(Cartesian.@nall)

doc"""
    @nloops N itersym rangeexpr bodyexpr
    @nloops N itersym rangeexpr preexpr bodyexpr
    @nloops N itersym rangeexpr preexpr postexpr bodyexpr

Generate `N` nested loops, using `itersym` as the prefix for the iteration variables. `rangeexpr` may be an anonymous-function expression, or a simple symbol `var` in which case the range is `1:size(var,d)` for dimension `d`.

Optionally, you can provide "pre" and "post" expressions. These get executed first and last, respectively, in the body of each loop. For example, :

    @nloops 2 i A d->j_d=min(i_d,5) begin
        s += @nref 2 A j
    end

would generate :

    for i_2 = 1:size(A, 2)
        j_2 = min(i_2, 5)
        for i_1 = 1:size(A, 1)
            j_1 = min(i_1, 5)
            s += A[j_1,j_2]
        end
    end

If you want just a post-expression, supply `nothing` for the pre-expression. Using parenthesis and semicolons, you can supply multi-statement expressions.
"""
:(Cartesian.@nloops)

doc"""
    @ntuple N expr

Generates an `N`-tuple. `@ntuple 2 i` would generate `(i_1, i_2)`, and `@ntuple 2 k->k+1` would generate `(2,3)`.
"""
:(Cartesian.@ntuple)

doc"""
    @nif N conditionexpr expr
    @nif N conditionexpr expr elseexpr

Generates a sequence of `if ... elseif ... else ... end` statements. For example:

    @nif 3 d->(i_d >= size(A,d)) d->(error("Dimension ", d, " too big")) d->println("All OK")

would generate:

    if i_1 > size(A, 1)
        error("Dimension ", 1, " too big")
    elseif i_2 > size(A, 2)
        error("Dimension ", 2, " too big")
    else
        println("All OK")
    end
"""
:(Cartesian.@nif)

doc"""
    @nref N A indexexpr

Generate expressions like `A[i_1,i_2,...]`. `indexexpr` can either be an iteration-symbol prefix, or an anonymous-function expression.
"""
:(Cartesian.@nref)

doc"""
    @nexprs N expr

Generate `N` expressions. `expr` should be an anonymous-function expression.
"""
:(Cartesian.@nexprs)

# Base

doc"""
    @time

A macro to execute an expression, printing the time it took to execute, the number of allocations, and the total number of bytes its execution caused to be allocated, before returning the value of the expression.
"""
:@time

doc"""
    systemerror(sysfunc, iftrue)

Raises a `SystemError` for `errno` with the descriptive string `sysfunc` if `iftrue` is `true`
"""
systemerror

doc"""
    writedlm(f, A, delim='\\t')

Write `A` (a vector, matrix or an iterable collection of iterable rows) as text to `f` (either a filename string or an `IO` stream) using the given delimeter `delim` (which defaults to tab, but can be any printable Julia object, typically a `Char` or `AbstractString`).

For example, two vectors `x` and `y` of the same length can be written as two columns of tab-delimited text to `f` by either `writedlm(f, [x y])` or by `writedlm(f, zip(x, y))`.
"""
writedlm

doc"""
    cholfact(A, [LU=:U[,pivot=Val{false}]][;tol=-1.0]) -> Cholesky

Compute the Cholesky factorization of a dense symmetric positive (semi)definite matrix `A` and return either a `Cholesky` if `pivot==Val{false}` or `CholeskyPivoted` if `pivot==Val{true}`. `LU` may be `:L` for using the lower part or `:U` for the upper part. The default is to use `:U`. The triangular matrix can be obtained from the factorization `F` with: `F[:L]` and `F[:U]`. The following functions are available for `Cholesky` objects: `size`, `\`, `inv`, `det`. For `CholeskyPivoted` there is also defined a `rank`. If `pivot==Val{false}` a `PosDefException` exception is thrown in case the matrix is not positive definite. The argument `tol` determines the tolerance for determining the rank. For negative values, the tolerance is the machine precision.
"""
cholfact(A, LU=:U, pivot=Val{false})

doc"""
    cholfact(A; shift=0, perm=Int[]) -> CHOLMOD.Factor

Compute the Cholesky factorization of a sparse positive definite matrix `A`. A fill-reducing permutation is used. `F = cholfact(A)` is most frequently used to solve systems of equations with `F\b`, but also the methods `diag`, `det`, `logdet` are defined for `F`. You can also extract individual factors from `F`, using `F[:L]`. However, since pivoting is on by default, the factorization is internally represented as `A == P'*L*L'*P` with a permutation matrix `P`; using just `L` without accounting for `P` will give incorrect answers. To include the effects of permutation, it's typically preferable to extact "combined" factors like `PtL = F[:PtL]` (the equivalent of `P'*L`) and `LtP = F[:UP]` (the equivalent of `L'*P`).

Setting optional `shift` keyword argument computes the factorization of `A+shift*I` instead of `A`. If the `perm` argument is nonempty, it should be a permutation of `1:size(A,1)` giving the ordering to use (instead of CHOLMOD's default AMD ordering).

The function calls the C library CHOLMOD and many other functions from the library are wrapped but not exported.
"""
cholfact(A)

doc"""
    digamma(x)

Compute the digamma function of `x` (the logarithmic derivative of `gamma(x)`)
"""
digamma

doc"""
    fill!(A, x)

Fill array `A` with the value `x`. If `x` is an object reference, all elements will refer to the same object. `fill!(A, Foo())` will return `A` filled with the result of evaluating `Foo()` once.
"""
fill!

doc"""
    read!(stream, array::Array)

Read binary data from a stream, filling in the argument `array`.
"""
read!

doc"""
    empty!(collection) -> collection

Remove all elements from a `collection`.
"""
empty!

doc"""
    asin(x)

Compute the inverse sine of `x`, where the output is in radians
"""
asin

doc"""
    <:(T1, T2)

Subtype operator, equivalent to `issubtype(T1,T2)`.
"""
Base.(:(<:))

doc"""
    schedule(t::Task, [val]; error=false)

Add a task to the scheduler's queue. This causes the task to run constantly when the system is otherwise idle, unless the task performs a blocking operation such as `wait`.

If a second argument is provided, it will be passed to the task (via the return value of `yieldto`) when it runs again. If `error` is `true`, the value is raised as an exception in the woken task.
"""
schedule

doc"""
```rst
..  step(r)

Get the step size of a :obj:`Range` object.
```
"""
step

doc"""
    utf32(s)

Create a UTF-32 string from a byte array, array of `Char` or `UInt32`, or any other string type. (Conversions of byte arrays check for a byte-order marker in the first four bytes, and do not include it in the resulting string.)

Note that the resulting `UTF32String` data is terminated by the NUL codepoint (32-bit zero), which is not treated as a character in the string (so that it is mostly invisible in Julia); this allows the string to be passed directly to external functions requiring NUL-terminated data. This NUL is appended automatically by the `utf32(s)` conversion function. If you have a `Char` or `UInt32` array `A` that is already NUL-terminated UTF-32 data, then you can instead use `UTF32String(A)` to construct the string without making a copy of the data and treating the NUL as a terminator rather than as part of the string.
"""
utf32(s)

doc"""
    utf32(::Union{Ptr{Char},Ptr{UInt32},Ptr{Int32}} [, length])

Create a string from the address of a NUL-terminated UTF-32 string. A copy is made; the pointer can be safely freed. If `length` is specified, the string does not have to be NUL-terminated.
"""
utf32(::Union{Ptr{Char},Ptr{UInt32},Ptr{Int32}}, length=?)

doc"""
    takebuf_array(b::IOBuffer)

Obtain the contents of an `IOBuffer` as an array, without copying. Afterwards, the IOBuffer is reset to its initial state.
"""
takebuf_array

doc"""
    download(url,[localfile])

Download a file from the given url, optionally renaming it to the given local file name. Note that this function relies on the availability of external tools such as `curl`, `wget` or `fetch` to download the file and is provided for convenience. For production use or situations in which more options are needed, please use a package that provides the desired functionality instead.
"""
download

doc"""
    @everywhere

Execute an expression on all processes. Errors on any of the processes are collected into a `CompositeException` and thrown.
"""
:@everywhere

doc"""
    lstrip(string, [chars])

Return `string` with any leading whitespace removed. If `chars` (a character, or vector or set of characters) is provided, instead remove characters contained in it.
"""
lstrip

doc"""
    reenable_sigint(f::Function)

Re-enable Ctrl-C handler during execution of a function. Temporarily reverses the effect of `disable_sigint`.
"""
reenable_sigint

doc"""
    indmin(itr) -> Integer

Returns the index of the minimum element in a collection.
"""
indmin

doc"""
    powermod(x, p, m)

Compute $x^p \pmod m$.
"""
powermod

doc"""
    typeintersect(T, S)

Compute a type that contains the intersection of `T` and `S`. Usually this will be the smallest such type or one close to it.
"""
typeintersect

doc"""
    pointer(array [, index])

Get the native address of an array or string element. Be careful to ensure that a Julia reference to `a` exists as long as this pointer will be used. This function is "unsafe" like `unsafe_convert`.

Calling `Ref(array[, index])` is generally preferable to this function.
"""
pointer

doc"""
    isnan(f) -> Bool

Test whether a floating point number is not a number (NaN)
"""
isnan

doc"""
```rst
..  println(x)

Print (using :func:`print`) ``x`` followed by a newline.
```
"""
println

doc"""
    besselj(nu, x)

Bessel function of the first kind of order `nu`, $J_\nu(x)$.
"""
besselj

doc"""
```rst
..  @code_lowered

Evaluates the arguments to the function call, determines their types, and calls :func:`code_lowered` on the resulting expression.
```
"""
:@code_lowered

doc"""
    //(num, den)

Divide two integers or rational numbers, giving a `Rational` result.
"""
Base.(:(//))

doc"""
    At_mul_B(A, B)

For matrices or vectors $A$ and $B$, calculates $Aᵀ⋅B$
"""
At_mul_B

doc"""
    methods(f, [types])

Returns the method table for `f`.

If `types` is specified, returns an array of methods whose types match.
"""
methods

doc"""
```rst
..  pmap(f, lsts...; err_retry=true, err_stop=false, pids=workers())

Transform collections ``lsts`` by applying ``f`` to each element in parallel.
(Note that ``f`` must be made available to all worker processes; see :ref:`Code Availability and Loading Packages <man-parallel-computing-code-availability>` for details.)
If ``nprocs() > 1``, the calling process will be dedicated to assigning tasks.
All other available processes will be used as parallel workers, or on the processes specified by ``pids``.

If ``err_retry`` is ``true``, it retries a failed application of ``f`` on a different worker.
If ``err_stop`` is ``true``, it takes precedence over the value of ``err_retry`` and ``pmap`` stops execution on the first error.
```
"""
pmap

doc"""
    workers()

Returns a list of all worker process identifiers.
"""
workers

doc"""
    isinteger(x) -> Bool

Test whether `x` or all its elements are numerically equal to some integer
"""
isinteger

doc"""
    sortrows(A, [alg=<algorithm>,] [by=<transform>,] [lt=<comparison>,] [rev=false])

Sort the rows of matrix `A` lexicographically.
"""
sortrows

doc"""
    ./(x, y)

Element-wise right division operator.
"""
Base.(:(./))

doc"""
    IPv6(host::Integer) -> IPv6

Returns IPv6 object from ip address formatted as Integer
"""
IPv6

doc"""
    prod!(r, A)

Multiply elements of `A` over the singleton dimensions of `r`, and write results to `r`.
"""
prod!

doc"""
    hist2d!(counts, M, e1, e2) -> (e1, e2, counts)

Compute a "2d histogram" with respect to the bins delimited by the edges given in `e1` and `e2`. This function writes the results to a pre-allocated array `counts`.
"""
hist2d!

doc"""
    fieldtype(T, name::Symbol | index::Int)

Determine the declared type of a field (specified by name or index) in a composite DataType `T`.
"""
fieldtype

doc"""
    hypot(x, y)

Compute the $\sqrt{x^2+y^2}$ avoiding overflow and underflow
"""
hypot

doc"""
    airybi(x)

Airy function $\operatorname{Bi}(x)$.
"""
airybi

doc"""
    gensym([tag])

Generates a symbol which will not conflict with other variable names.
"""
gensym

doc"""
    cummin(A, [dim])

Cumulative minimum along a dimension. The dimension defaults to 1.
"""
cummin

doc"""
    minabs!(r, A)

Compute the minimum absolute values over the singleton dimensions of `r`, and write values to `r`.
"""
minabs!

doc"""
    prevprod([k_1,k_2,...], n)

Previous integer not greater than `n` that can be written as $\prod k_i^{p_i}$ for integers $p_1$, $p_2$, etc.
"""
prevprod

doc"""
    @evalpoly(z, c...)

Evaluate the polynomial $\sum_k c[k] z^{k-1}$ for the
coefficients `c[1]`, `c[2]`, ...; that is, the coefficients are
given in ascending order by power of `z`.  This macro expands to
efficient inline code that uses either Horner's method or, for
complex `z`, a more efficient Goertzel-like algorithm.
"""
:@evalpoly

doc"""
```rst
..  eigfact!(A, [B])

Same as :func:`eigfact`, but saves space by overwriting the input ``A`` (and
``B``), instead of creating a copy.
```
"""
eigfact!

doc"""
    cosh(x)

Compute hyperbolic cosine of `x`
"""
cosh

doc"""
```rst
..  ipermutedims(A, perm)

Like :func:`permutedims`, except the inverse of the given permutation is applied.
```
"""
ipermutedims

doc"""
    dirname(path::AbstractString) -> AbstractString

Get the directory part of a path.
"""
dirname

doc"""
    isfile(path) -> Bool

Returns `true` if `path` is a regular file, `false` otherwise.
"""
isfile

doc"""
    symlink(target, link)

Creates a symbolic link to `target` with the name `link`.

**note**

This function raises an error under operating systems that do not support soft symbolic links, such as Windows XP.
"""
symlink

doc"""
    task_local_storage(symbol)

Look up the value of a symbol in the current task's task-local storage.
"""
task_local_storage(symbol)

doc"""
    task_local_storage(symbol, value)

Assign a value to a symbol in the current task's task-local storage.
"""
task_local_storage(symbol, value)

doc"""
    task_local_storage(body, symbol, value)

Call the function `body` with a modified task-local storage, in which `value` is assigned to `symbol`; the previous value of `symbol`, or lack thereof, is restored afterwards. Useful for emulating dynamic scoping.
"""
task_local_storage(body, symbol, value)

doc"""
    diff(A, [dim])

Finite difference operator of matrix or vector.
"""
diff

doc"""
    precision(num::AbstractFloat)

Get the precision of a floating point number, as defined by the effective number of bits in the mantissa.
"""
precision

doc"""
    cor(v1[, v2][, vardim=1, mean=nothing])

Compute the Pearson correlation between the vector(s) in `v1` and `v2`.

Users can use the keyword argument `vardim` to specify the variable dimension, and `mean` to supply pre-computed mean values.
"""
cor

doc"""
    partitions(n)

Generate all integer arrays that sum to `n`. Because the number of partitions can be very large, this function returns an iterator object. Use `collect(partitions(n))` to get an array of all partitions. The number of partitions to generate can be efficiently computed using `length(partitions(n))`.
"""
partitions(n::Integer)

doc"""
    partitions(n, m)

Generate all arrays of `m` integers that sum to `n`. Because the number of partitions can be very large, this function returns an iterator object. Use `collect(partitions(n,m))` to get an array of all partitions. The number of partitions to generate can be efficiently computed using `length(partitions(n,m))`.
"""
partitions(n::Integer, m::Integer)

doc"""
    partitions(array)

Generate all set partitions of the elements of an array, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use `collect(partitions(array))` to get an array of all partitions. The number of partitions to generate can be efficiently computed using `length(partitions(array))`.
"""
partitions(array)

doc"""
    partitions(array, m)

Generate all set partitions of the elements of an array into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use `collect(partitions(array,m))` to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind and can be efficiently computed using `length(partitions(array,m))`.
"""
partitions(array, m::Integer)

doc"""
    readlines(stream)

Read all lines as an array.
"""
readlines

doc"""
    findnz(A)

Return a tuple `(I, J, V)` where `I` and `J` are the row and column indexes of the non-zero values in matrix `A`, and `V` is a vector of the non-zero values.
"""
findnz

doc"""
    RemoteRef()

Make an uninitialized remote reference on the local machine.
"""
RemoteRef()

doc"""
    RemoteRef(n)

Make an uninitialized remote reference on process `n`.
"""
RemoteRef(::Integer)

doc"""
```rst
..  foldl(op, v0, itr)

Like :func:`reduce`, but with guaranteed left associativity. ``v0``
will be used exactly once.
```
"""
foldl(op, v0, itr)

doc"""
```rst
..  foldl(op, itr)

Like ``foldl(op, v0, itr)``, but using the first element of ``itr``
as ``v0``. In general, this cannot be used with empty collections
(see ``reduce(op, itr)``).
```
"""
foldl(op, itr)

doc"""
    airybiprime(x)

Airy function derivative $\operatorname{Bi}'(x)$.
"""
airybiprime

doc"""
    Ac_rdiv_B(A, B)

For matrices or vectors $A$ and $B$, calculates $Aᴴ / B$
"""
Ac_rdiv_B

doc"""
```rst
..  set_rounding(T, mode)

Set the rounding mode of floating point type ``T``, controlling the
rounding of basic arithmetic functions (:func:`+`, :func:`-`, :func:`*`,
:func:`/` and :func:`sqrt`) and type conversion.

Note that this may affect other types, for instance changing the rounding
mode of ``Float64`` will change the rounding mode of ``Float32``. See
``get_rounding`` for available modes
```
"""
set_rounding

doc"""
    linspace(start, stop, n=100)

Construct a range of `n` linearly spaced elements from `start` to `stop`.
"""
linspace

doc"""
    promote_type(type1, type2)

Determine a type big enough to hold values of each argument type without loss, whenever possible. In some cases, where no type exists to which both types can be promoted losslessly, some loss is tolerated; for example, `promote_type(Int64,Float64)` returns `Float64` even though strictly, not all `Int64` values can be represented exactly as `Float64` values.
"""
promote_type

doc"""
    ind2sub(dims, index) -> subscripts

Returns a tuple of subscripts into an array with dimensions `dims`,
corresponding to the linear index `index`.

**Example**: `i, j, ... = ind2sub(size(A), indmax(A))` provides the
indices of the maximum element
"""
ind2sub(dims::Tuple, index::Int)

doc"""
    ind2sub(a, index) -> subscripts

Returns a tuple of subscripts into array `a` corresponding to the linear index `index`
"""
ind2sub(a, index)

doc"""
    .*(x, y)

Element-wise multiplication operator.
"""
Base.(:(.*))

doc"""
    ror!(dest::BitArray{1}, src::BitArray{1}, i::Integer) -> BitArray{1}

Performs a right rotation operation on `src` and put the result into `dest`.
"""
ror!(dest::BitArray{1}, src::BitArray{1}, i::Integer)

doc"""
    ror!(B::BitArray{1}, i::Integer) -> BitArray{1}

Performs a right rotation operation on `B`.
"""
ror!(B::BitArray{1}, i::Integer)

doc"""
    range(start, [step], length)

Construct a range by length, given a starting value and optional step (defaults to 1).
"""
range

doc"""
    eltype(type)

Determine the type of the elements generated by iterating a collection of the given `type`. For associative collection types, this will be a `Pair{KeyType,ValType}`. The definition `eltype(x) = eltype(typeof(x))` is provided for convenience so that instances can be passed instead of types. However the form that accepts a type argument should be defined for new types.
"""
eltype

doc"""
    keytype(collection)

For associative collection types, this will be the type of the Key, This is not defined for non-associative collections
"""
keytype

doc"""
    valtype(collection)

For associative collection types, this will be the type of the Value, This is not defined for non-associative collections
"""
valtype

doc"""
    edit(path::AbstractString, [line])

Edit a file or directory optionally providing a line number to edit the file at. Returns to the `julia` prompt when you quit the editor.
"""
edit(path::AbstractString, line=?)

doc"""
    edit(function, [types])

Edit the definition of a function, optionally specifying a tuple of types to indicate which method to edit.
"""
edit(::Function, types=?)

doc"""
    backtrace()

Get a backtrace object for the current program point.
"""
backtrace

doc"""
    ignorestatus(command)

Mark a command object so that running it will not throw an error if the result code is non-zero.
"""
ignorestatus

doc"""
    reducedim(f, A, dims[, initial])

Reduce 2-argument function `f` along dimensions of `A`. `dims` is a vector specifying the dimensions to reduce, and `initial` is the initial value to use in the reductions. For `+`, `*`, `max` and `min` the `initial` argument is optional.

The associativity of the reduction is implementation-dependent; if you need a particular associativity, e.g. left-to-right, you should write your own loop. See documentation for `reduce`.
"""
reducedim

doc"""
    -(x)

Unary minus operator.
"""
-(x)

doc"""
    -(x, y)

Subtraction operator.
"""
-(x, y)

doc"""
```rst
..  mapfoldr(f, op, v0, itr)

Like :func:`mapreduce`, but with guaranteed right associativity. ``v0``
will be used exactly once.
```
"""
mapfoldr(f, op, v0, itr)

doc"""
```rst
..  mapfoldr(f, op, itr)

Like ``mapfoldr(f, op, v0, itr)``, but using the first element of
``itr`` as ``v0``. In general, this cannot be used with empty
collections (see ``reduce(op, itr)``).
```
"""
mapfoldr(f, op, itr)

doc"""
    broadcast_setindex!(A, X, inds...)

Broadcasts the `X` and `inds` arrays to a common size and stores the value from each position in `X` at the indices given by the same positions in `inds`.
"""
broadcast_setindex!

doc"""
    Nullable(x)

Wrap value `x` in an object of type `Nullable`, which indicates whether a value is present. `Nullable(x)` yields a non-empty wrapper, and `Nullable{T}()` yields an empty instance of a wrapper that might contain a value of type `T`.
"""
Nullable

doc"""
    bits(n)

A string giving the literal bit representation of a number.
"""
bits

doc"""
    launch(manager::FooManager, params::Dict, launched::Vector{WorkerConfig}, launch_ntfy::Condition)

Implemented by cluster managers. For every Julia worker launched by this function, it should append a `WorkerConfig` entry to `launched` and notify `launch_ntfy`. The function MUST exit once all workers, requested by `manager` have been launched. `params` is a dictionary of all keyword arguments `addprocs` was called with.
"""
launch

doc"""
```rst
..  @code_typed

Evaluates the arguments to the function call, determines their types, and calls :func:`code_typed` on the resulting expression.
```
"""
:@code_typed

doc"""
    invdigamma(x)

Compute the inverse digamma function of `x`.
"""
invdigamma

doc"""
```rst
..  getindex(type[, elements...])

Construct a 1-d array of the specified type. This is usually called with the syntax ``Type[]``. Element values can be specified using ``Type[a,b,c,...]``.
```
"""
getindex(::Type, elements...)

doc"""
```rst
..  getindex(A, inds...)

Returns a subset of array ``A`` as specified by ``inds``, where each ``ind`` may be an ``Int``, a ``Range``, or a ``Vector``. See the manual section on :ref:`array indexing <man-array-indexing>` for details.
```
"""
getindex(::AbstractArray, inds...)

doc"""
```rst
..  getindex(collection, key...)

Retrieve the value(s) stored at the given key or index within a collection.
The syntax ``a[i,j,...]`` is converted by the compiler to
``getindex(a, i, j, ...)``.
```
"""
getindex(collection, key...)

doc"""
    cconvert(T,x)

Convert `x` to a value of type `T`, typically by calling `convert(T,x)`

In cases where `x` cannot be safely converted to `T`, unlike `convert`, `cconvert` may return an object of a type different from `T`, which however is suitable for `unsafe_convert` to handle.

Neither `convert` nor `cconvert` should take a Julia object and turn it into a `Ptr`.
"""
cconvert

doc"""
    |>(x, f)

Applies a function to the preceding argument. This allows for easy function chaining.

```jldoctest
julia> [1:5;] |> x->x.^2 |> sum |> inv
0.01818181818181818
```
"""
Base.(:(|>))

doc"""
    assert(cond)

Throw an `AssertionError` if `cond` is `false`. Also available as the macro `@assert expr`.
"""
assert

doc"""
    sech(x)

Compute the hyperbolic secant of `x`
"""
sech

doc"""
    nworkers()

Get the number of available worker processes. This is one less than `nprocs()`. Equal to `nprocs()` if `nprocs() == 1`.
"""
nworkers

doc"""
    filemode(file)

Equivalent to `stat(file).mode`
"""
filemode

doc"""
    print_joined(io, items, delim, [last])

Print elements of `items` to `io` with `delim` between them. If `last` is specified, it is used as the final delimiter instead of `delim`.
"""
print_joined

doc"""
    lfact(x)

Compute the logarithmic factorial of `x`
"""
lfact

doc"""
    deconv(b,a)

Construct vector `c` such that `b = conv(a,c) + r`. Equivalent to polynomial division.
"""
deconv

doc"""
    insert!(collection, index, item)

Insert an `item` into `collection` at the given `index`.
`index` is the index of `item` in the resulting `collection`.

```jldoctest
julia> insert!([6, 5, 4, 2, 1], 4, 3)
6-element Array{Int64,1}:
 6
 5
 4
 3
 2
 1
```
"""
insert!

doc"""
    repmat(A, n, m)

Construct a matrix by repeating the given matrix `n` times in dimension 1 and `m` times in dimension 2.
"""
repmat

doc"""
    acos(x)

Compute the inverse cosine of `x`, where the output is in radians
"""
acos

doc"""
    ispath(path) -> Bool

Returns `true` if `path` is a valid filesystem path, `false` otherwise.
"""
ispath

doc"""
    fdio([name::AbstractString, ]fd::Integer[, own::Bool]) -> IOStream

Create an `IOStream` object from an integer file descriptor. If `own` is `true`, closing this object will close the underlying descriptor. By default, an `IOStream` is closed when it is garbage collected. `name` allows you to associate the descriptor with a named file.
"""
fdio

doc"""
    unsafe_copy!(dest::Ptr{T}, src::Ptr{T}, N)

Copy `N` elements from a source pointer to a destination, with no checking. The size of an element is determined by the type of the pointers.

The `unsafe` prefix on this function indicates that no validation is performed on the pointers `dest` and `src` to ensure that they are valid. Incorrect usage may corrupt or segfault your program, in the same manner as C.
"""
unsafe_copy!{T}(dest::Ptr{T}, src::Ptr{T}, N)

doc"""
    unsafe_copy!(dest::Array, do, src::Array, so, N)

Copy `N` elements from a source array to a destination, starting at offset `so` in the source and `do` in the destination (1-indexed).

The `unsafe` prefix on this function indicates that no validation is performed to ensure that N is inbounds on either array. Incorrect usage may corrupt or segfault your program, in the same manner as C.
"""
unsafe_copy!(dest::Array, d, src::Array, so, N)

doc"""
    diag(M[, k])

The `k`th diagonal of a matrix, as a vector. Use `diagm` to construct a diagonal matrix.
"""
diag

doc"""
    .^(x, y)

Element-wise exponentiation operator.
"""
Base.(:(.^))

doc"""
    isspace(c::Union{Char,AbstractString}) -> Bool

Tests whether a character is any whitespace character. Includes ASCII characters '\\t', '\\n', '\\v', '\\f', '\\r', and ' ', Latin-1 character U+0085, and characters in Unicode category Zs. For strings, tests whether this is true for all elements of the string.
"""
isspace

doc"""
    splitext(path::AbstractString) -> (AbstractString,AbstractString)

If the last component of a path contains a dot, split the path into everything before the dot and everything including and after the dot. Otherwise, return a tuple of the argument unmodified and the empty string.
"""
splitext

doc"""
    gethostname() -> AbstractString

Get the local machine's host name.
"""
gethostname

doc"""
    code_typed(f, types; optimize=true)

Returns an array of lowered and type-inferred ASTs for the methods matching the given generic function and type signature. The keyword argument `optimize` controls whether additional optimizations, such as inlining, are also applied.
"""
code_typed

doc"""
    hankelh1x(nu, x)

Scaled Bessel function of the third kind of order `nu`, $H^{(1)}_\nu(x) e^{-x i}$.
"""
hankelh1x

doc"""
    replace(string, pat, r[, n])

Search for the given pattern `pat`, and replace each occurrence with `r`. If `n` is provided, replace at most `n` occurrences. As with search, the second argument may be a single character, a vector or a set of characters, a string, or a regular expression. If `r` is a function, each occurrence is replaced with `r(s)` where `s` is the matched substring. If `pat` is a regular expression and `r` is a `SubstitutionString`, then capture group references in `r` are replaced with the corresponding matched text.
"""
replace

doc"""
    randexp([rng], [dims...])

Generate a random number according to the exponential distribution with scale 1. Optionally generate an array of such random numbers.
"""
randexp

doc"""
    chop(string)

Remove the last character from a string.
"""
chop

doc"""
    Float32(x [, mode::RoundingMode])

Create a Float32 from `x`. If `x` is not exactly representable then
`mode` determines how `x` is rounded.

```jldoctest
julia> Float32(1/3, RoundDown)
0.3333333f0

julia> Float32(1/3, RoundUp)
0.33333334f0
```

See `get_rounding` for available rounding modes.
"""
Float32

doc"""
    readuntil(stream, delim)

Read a string, up to and including the given delimiter byte.
"""
readuntil

doc"""
```rst
..  isimmutable(v)

Return ``true`` iff value ``v`` is immutable.  See :ref:`man-immutable-composite-types` for a discussion of immutability.
Note that this function works on values, so if you give it a type, it will tell you that a value of ``DataType`` is mutable.
```
"""
isimmutable

doc"""
    macroexpand(x)

Takes the expression `x` and returns an equivalent expression with all macros removed (expanded).
"""
macroexpand

doc"""
    issticky(path) -> Bool

Returns `true` if `path` has the sticky bit set, `false` otherwise.
"""
issticky

doc"""
    rol(B::BitArray{1}, i::Integer) -> BitArray{1}

Performs a left rotation operation.
"""
rol

doc"""
```rst
..  Mmap.mmap(io::Union{IOStream,AbstractString,Mmap.AnonymousMmap}[, type::Type{Array{T,N}}, dims, offset]; grow::Bool=true, shared::Bool=true)
           Mmap.mmap(type::Type{Array{T,N}}, dims)

Create an ``Array`` whose values are linked to a file, using memory-mapping. This provides a convenient way of working with data too large to fit in the computer's memory.

The type is an ``Array{T,N}`` with a bits-type element of ``T`` and dimension ``N`` that determines how the bytes of the array are interpreted. Note that the file must be stored in binary format, and no format conversions are possible (this is a limitation of operating systems, not Julia).

``dims`` is a tuple or single ``Integer`` specifying the size or length of the array.

The file is passed via the stream argument, either as an open ``IOStream`` or filename string.  When you initialize the stream, use ``"r"`` for a "read-only" array, and ``"w+"`` to create a new array used to write values to disk.

If no ``type`` argument is specified, the default is ``Vector{UInt8}``.

Optionally, you can specify an offset (in bytes) if, for example, you want to skip over a header in the file. The default value for the offset is the current stream position for an ``IOStream``.

The ``grow`` keyword argument specifies whether the disk file should be grown to accommodate the requested size of array (if the total file size is < requested array size). Write privileges are required to grow the file.

The ``shared`` keyword argument specifies whether the resulting ``Array`` and changes made to it will be visible to other processes mapping the same file.

For example, the following code::

   # Create a file for mmapping
   # (you could alternatively use mmap to do this step, too)
   A = rand(1:20, 5, 30)
   s = open("/tmp/mmap.bin", "w+")
   # We'll write the dimensions of the array as the first two Ints in the file
   write(s, size(A,1))
   write(s, size(A,2))
   # Now write the data
   write(s, A)
   close(s)

   # Test by reading it back in
   s = open("/tmp/mmap.bin")   # default is read-only
   m = read(s, Int)
   n = read(s, Int)
   A2 = Mmap.mmap(s, Matrix{Int}, (m,n))

creates a ``m``-by-``n`` ``Matrix{Int}``, linked to the file associated with stream ``s``.

A more portable file would need to encode the word size---32 bit or 64 bit---and endianness information in the header. In practice, consider encoding binary data using standard formats like HDF5 (which can be used with memory-mapping).
```
"""
Mmap.mmap(io, ::Type, dims, offset)

doc"""
```rst
..  Mmap.mmap(io, BitArray, [dims, offset])

Create a ``BitArray`` whose values are linked to a file, using memory-mapping; it has the same purpose, works in the same way, and has the same arguments, as :func:`mmap`, but the byte representation is different.

**Example**:  ``B = Mmap.mmap(s, BitArray, (25,30000))``

This would create a 25-by-30000 ``BitArray``, linked to the file associated with stream ``s``.
```
"""
Mmap.mmap(io, ::BitArray, dims = ?, offset = ?)

doc"""
    airyprime(x)

Airy function derivative $\operatorname{Ai}'(x)$.
"""
airyprime

doc"""
    bessely0(x)

Bessel function of the second kind of order 0, $Y_0(x)$.
"""
bessely0

doc"""
    any!(r, A)

Test whether any values in `A` along the singleton dimensions of `r` are `true`, and write results to `r`.
"""
any!

doc"""
    filter!(function, collection)

Update `collection`, removing elements for which `function` is `false`. For associative collections, the function is passed two arguments (key and value).
"""
filter!

doc"""
    schurfact(A) -> Schur

Computes the Schur factorization of the matrix `A`. The (quasi) triangular Schur factor can be obtained from the `Schur` object `F` with either `F[:Schur]` or `F[:T]` and the unitary/orthogonal Schur vectors can be obtained with `F[:vectors]` or `F[:Z]` such that `A=F[:vectors]*F[:Schur]*F[:vectors]'`. The eigenvalues of `A` can be obtained with `F[:values]`.
"""
schurfact(A)

doc"""
    schurfact(A, B) -> GeneralizedSchur

Computes the Generalized Schur (or QZ) factorization of the matrices `A` and `B`. The (quasi) triangular Schur factors can be obtained from the `Schur` object `F` with `F[:S]` and `F[:T]`, the left unitary/orthogonal Schur vectors can be obtained with `F[:left]` or `F[:Q]` and the right unitary/orthogonal Schur vectors can be obtained with `F[:right]` or `F[:Z]` such that `A=F[:left]*F[:S]*F[:right]'` and `B=F[:left]*F[:T]*F[:right]'`. The generalized eigenvalues of `A` and `B` can be obtained with `F[:alpha]./F[:beta]`.
"""
schurfact(A, B)

doc"""
    base64decode(string)

Decodes the base64-encoded `string` and returns a `Vector{UInt8}` of the decoded bytes.
"""
base64decode

doc"""
    besselkx(nu, x)

Scaled modified Bessel function of the second kind of order `nu`, $K_\nu(x) e^x$.
"""
besselkx

doc"""
    myid()

Get the id of the current process.
"""
myid

doc"""
    oct(n, [pad])

Convert an integer to an octal string, optionally specifying a number of digits to pad to.
"""
oct

doc"""
    timedwait(testcb::Function, secs::Float64; pollint::Float64=0.1)

Waits till `testcb` returns `true` or for `secs` seconds, whichever is earlier. `testcb` is polled every `pollint` seconds.
"""
timedwait

doc"""
    sizeof(T)

Size, in bytes, of the canonical binary representation of the given DataType `T`, if any.
"""
sizeof(::Type)

doc"""
    sizeof(s::AbstractString)

The number of bytes in string `s`.
"""
sizeof(::AbstractString)

doc"""
```rst
..  ===(x, y)
           ≡(x,y)

See the :func:`is` operator
```
"""
Base.(:(===))

doc"""
    ReadOnlyMemoryError()

An operation tried to write to memory that is read-only.
"""
ReadOnlyMemoryError

doc"""
    startswith(string, prefix | chars)

Returns `true` if `string` starts with `prefix`. If the second argument is a vector or set of characters, tests whether the first character of `string` belongs to that set.
"""
startswith

doc"""
    permutedims!(dest, src, perm)

Permute the dimensions of array `src` and store the result in the array `dest`. `perm` is a vector specifying a permutation of length `ndims(src)`. The preallocated array `dest` should have `size(dest) == size(src)[perm]` and is completely overwritten. No in-place permutation is supported and unexpected results will happen if `src` and `dest` have overlapping memory regions.
"""
permutedims!

doc"""
    functionloc(f::Function, types)

Returns a tuple `(filename,line)` giving the location of a generic `Function` definition.
"""
functionloc(f, types)

doc"""
    functionloc(m::Method)

Returns a tuple `(filename,line)` giving the location of a `Method` definition.
"""
functionloc(m)

doc"""
    stride(A, k)

Returns the distance in memory (in number of elements) between adjacent elements in dimension `k`.
"""
stride

doc"""
```rst
..  last(coll)

Get the last element of an ordered collection, if it can be computed in O(1) time.
This is accomplished by calling :func:`endof` to get the last index.
Returns the end point of a :obj:`Range` even if it is empty.
```
"""
last

doc"""
    islink(path) -> Bool

Returns `true` if `path` is a symbolic link, `false` otherwise.
"""
islink

doc"""
    istril(A) -> Bool

Test whether a matrix is lower triangular.
"""
istril

doc"""
```rst
..  lgamma(x)

Compute the logarithm of the absolute value of :func:`gamma` for
:obj:`Real` ``x``, while for :obj:`Complex` ``x`` it computes the
logarithm of ``gamma(x)``.
```
"""
lgamma

doc"""
    bin(n, [pad])

Convert an integer to a binary string, optionally specifying a number of digits to pad to.
"""
bin

doc"""
    cis(z)

Return $\exp(iz)$.
"""
cis

doc"""
    isapprox(x, y; rtol::Real=sqrt(eps), atol::Real=0)

Inexact equality comparison: `true` if `norm(x-y) <= atol + rtol*max(norm(x), norm(y))`. The default `atol` is zero and the default `rtol` depends on the types of `x` and `y`.

For real or complex floating-point values, `rtol` defaults to `sqrt(eps(typeof(real(x-y))))`. This corresponds to requiring equality of about half of the significand digits. For other types, `rtol` defaults to zero.

`x` and `y` may also be arrays of numbers, in which case `norm` defaults to `vecnorm` but may be changed by passing a `norm::Function` keyword argument. (For numbers, `norm` is the same thing as `abs`.)

The binary operator `≈` is equivalent to `isapprox` with the default arguments, and `x ≉ y` is equivalent to `!isapprox(x,y)`.
"""
isapprox

doc"""
    primes([lo,] hi)

Returns a collection of the prime numbers (from `lo`, if specified) up to `hi`.
"""
primes

doc"""
    primesmask([lo,] hi)

Returns a prime sieve, as a `BitArray`, of the positive integers (from `lo`, if specified) up to `hi`. Useful when working with either primes or composite numbers.
"""
primesmask

doc"""
    sinh(x)

Compute hyperbolic sine of `x`
"""
sinh

doc"""
    permutations(array)

Generate all permutations of an indexable object. Because the number of permutations can be very large, this function returns an iterator object. Use `collect(permutations(array))` to get an array of all permutations.
"""
permutations

doc"""
```rst
..  ceil([T,] x, [digits, [base]])

``ceil(x)`` returns the nearest integral value of the same type as ``x``
that is greater than or equal to ``x``.

``ceil(T, x)`` converts the result to type ``T``, throwing an
``InexactError`` if the value is not representable.

``digits`` and ``base`` work as for :func:`round`.
```
"""
ceil

doc"""
    mapslices(f, A, dims)

Transform the given dimensions of array `A` using function `f`. `f` is called on each slice of `A` of the form `A[...,:,...,:,...]`. `dims` is an integer vector specifying where the colons go in this expression. The results are concatenated along the remaining dimensions. For example, if `dims` is `[1,2]` and `A` is 4-dimensional, `f` is called on `A[:,:,i,j]` for all `i` and `j`.
"""
mapslices

doc"""
    svdvals(A)

Returns the singular values of `A`.
"""
svdvals(A)

doc"""
    svdvals(A, B)

Return only the singular values from the generalized singular value decomposition of `A` and `B`.
"""
svdvals(A, B)

doc"""
    issocket(path) -> Bool

Returns `true` if `path` is a socket, `false` otherwise.
"""
issocket

doc"""
    srand([rng], [seed])

Reseed the random number generator. If a `seed` is provided, the RNG will give a reproducible sequence of numbers, otherwise Julia will get entropy from the system. For `MersenneTwister`, the `seed` may be a non-negative integer, a vector of `UInt32` integers or a filename, in which case the seed is read from a file. `RandomDevice` does not support seeding.
"""
srand

doc"""
```rst
..  schur(A) -> Schur[:T], Schur[:Z], Schur[:values]

See :func:`schurfact`
```
"""
schur(A)

doc"""
```rst
..  schur(A,B) -> GeneralizedSchur[:S], GeneralizedSchur[:T], GeneralizedSchur[:Q], GeneralizedSchur[:Z]

See :func:`schurfact`
```
"""
schur(A,B)

doc"""
    isexecutable(path) -> Bool

Returns `true` if the current user has permission to execute `path`, `false` otherwise.
"""
isexecutable

doc"""
    acot(x)

Compute the inverse cotangent of `x`, where the output is in radians
"""
acot

doc"""
    oftype(x, y)

Convert `y` to the type of `x` (`convert(typeof(x), y)`).
"""
oftype

doc"""
    maxabs!(r, A)

Compute the maximum absolute values over the singleton dimensions of `r`, and write values to `r`.
"""
maxabs!

doc"""
    nullspace(M)

Basis for nullspace of `M`.
"""
nullspace

doc"""
    isfinite(f) -> Bool

Test whether a number is finite
"""
isfinite

doc"""
```rst
..  push!(collection, items...) -> collection

Insert one or more ``items`` at the end of ``collection``.

.. doctest::

  julia> push!([1, 2, 3], 4, 5, 6)
  6-element Array{Int64,1}:
   1
   2
   3
   4
   5
   6

Use :func:`append!` to add all the elements of another collection to
``collection``.
The result of the preceding example is equivalent to
``append!([1, 2, 3], [4, 5, 6])``.
```
"""
push!

doc"""
    prevpow(a, x)

The largest `a^n` not greater than `x`, where `n` is a non-negative integer. `a` must be greater than 1, and `x` must not be less than 1.
"""
prevpow

doc"""
    indexin(a, b)

Returns a vector containing the highest index in `b` for each value in `a` that is a member of `b` . The output vector contains 0 wherever `a` is not a member of `b`.
"""
indexin

doc"""
    permutedims(A, perm)

Permute the dimensions of array `A`. `perm` is a vector specifying a permutation of length `ndims(A)`. This is a generalization of transpose for multi-dimensional arrays. Transpose is equivalent to `permutedims(A, [2,1])`.
"""
permutedims

doc"""
```rst
..  shuffle!([rng,] v)

In-place version of :func:`shuffle`.
```
"""
shuffle!

doc"""
    fldmod(x, y)

The floored quotient and modulus after division. Equivalent to `(fld(x,y), mod(x,y))`.
"""
fldmod

doc"""
    promote(xs...)

Convert all arguments to their common promotion type (if any), and return them all (as a tuple).
"""
promote

doc"""
    @schedule

Wrap an expression in a `Task` and add it to the local machine's scheduler queue.
"""
:@schedule

doc"""
    bessely(nu, x)

Bessel function of the second kind of order `nu`, $Y_\nu(x)$.
"""
bessely

doc"""
    gradient(F, [h])

Compute differences along vector `F`, using `h` as the spacing between points. The default spacing is one.
"""
gradient

doc"""
    tan(x)

Compute tangent of `x`, where `x` is in radians
"""
tan

doc"""
    sprint(f::Function, args...)

Call the given function with an I/O stream and the supplied extra arguments. Everything written to this I/O stream is returned as a string.
"""
sprint

doc"""
    fd(stream)

Returns the file descriptor backing the stream or file. Note that this function only applies to synchronous `File`'s and `IOStream`'s not to any of the asynchronous streams.
"""
fd

doc"""
    require(module::Symbol)

This function is part of the implementation of `using` / `import`, if a module is not already defined in `Main`. It can also be called directly to force reloading a module, regardless of whether it has been loaded before (for example, when interactively developing libraries).

Loads a source files, in the context of the `Main` module, on every active node, searching standard locations for files. `require` is considered a top-level operation, so it sets the current `include` path but does not use it to search for files (see help for `include`). This function is typically used to load library code, and is implicitly called by `using` to load packages.

When searching for files, `require` first looks in the current working directory, then looks for package code under `Pkg.dir()`, then tries paths in the global array `LOAD_PATH`.
"""
require

doc"""
    expand(x)

Takes the expression `x` and returns an equivalent expression in lowered form.
"""
expand

doc"""
```rst
..  peakflops(n; parallel=false)

``peakflops`` computes the peak flop rate of the computer by using double precision :func:`Base.LinAlg.BLAS.gemm!`. By default, if no arguments are specified, it multiplies a matrix of size ``n x n``, where ``n = 2000``. If the underlying BLAS is using multiple threads, higher flop rates are realized. The number of BLAS threads can be set with ``blas_set_num_threads(n)``.

If the keyword argument ``parallel`` is set to ``true``, ``peakflops`` is run in parallel on all the worker processors. The flop rate of the entire parallel computer is returned. When running in parallel, only 1 BLAS thread is used. The argument ``n`` still refers to the size of the problem that is solved on each processor.
```
"""
peakflops

doc"""
    svd(A, [thin=true]) -> U, S, V

Wrapper around `svdfact` extracting all parts the factorization to a tuple. Direct use of `svdfact` is therefore generally more efficient. Computes the SVD of `A`, returning `U`, vector `S`, and `V` such that `A == U*diagm(S)*V'`. If `thin` is `true`, an economy mode decomposition is returned. The default is to produce a thin decomposition.
"""
svd

doc"""
    svd(A, B) -> U, V, Q, D1, D2, R0

Wrapper around `svdfact` extracting all parts the factorization to a tuple. Direct use of `svdfact` is therefore generally more efficient. The function returns the generalized SVD of `A` and `B`, returning `U`, `V`, `Q`, `D1`, `D2`, and `R0` such that `A = U*D1*R0*Q'` and `B = V*D2*R0*Q'`.
"""
svd(A::AbstractMatrix, B::AbstractMatrix)

doc"""
    ones(type, dims)

Create an array of all ones of specified type. The type defaults to `Float64` if not specified.
"""
ones(t,dims)

doc"""
    ones(A)

Create an array of all ones with the same element type and shape as `A`.
"""
ones(A)

doc"""
    ind2chr(string, i)

Convert a byte index to a character index.
"""
ind2chr

doc"""
    reshape(A, dims)

Create an array with the same data as the given array, but with different dimensions. An implementation for a particular type of array may choose whether the data is copied or shared.
"""
reshape

doc"""
    randsubseq!(S, A, p)

Like `randsubseq`, but the results are stored in `S` (which is resized as needed).
"""
randsubseq!

doc"""
    maximum(itr)

Returns the largest element in a collection.
"""
maximum(itr)

doc"""
    maximum(A, dims)

Compute the maximum value of an array over the given dimensions.
"""
maximum(A,dims)

doc"""
    redisplay(x)
    redisplay(d::Display, x)
    redisplay(mime, x)
    redisplay(d::Display, mime, x)

By default, the `redisplay` functions simply call `display`. However, some display backends may override `redisplay` to modify an existing display of `x` (if any). Using `redisplay` is also a hint to the backend that `x` may be redisplayed several times, and the backend may choose to defer the display until (for example) the next interactive prompt.
"""
redisplay

doc"""
    A_mul_Bc(A, B)

For matrices or vectors $A$ and $B$, calculates $A⋅Bᴴ$
"""
A_mul_Bc

doc"""
    searchsorted(a, x, [by=<transform>,] [lt=<comparison>,] [rev=false])

Returns the range of indices of `a` which compare as equal to `x` according to the order specified by the `by`, `lt` and `rev` keywords, assuming that `a` is already sorted in that order. Returns an empty range located at the insertion point if `a` does not contain values equal to `x`.
"""
searchsorted

doc"""
    /(x, y)

Right division operator: multiplication of `x` by the inverse of `y` on the right. Gives floating-point results for integer arguments.
"""
Base.(:(/))

doc"""
    ldltfact(::Union{SparseMatrixCSC,Symmetric{Float64,SparseMatrixCSC{Flaot64,SuiteSparse_long}},Hermitian{Complex{Float64},SparseMatrixCSC{Complex{Float64},SuiteSparse_long}}}; shift=0, perm=Int[]) -> CHOLMOD.Factor

Compute the `LDLt` factorization of a sparse symmetric or Hermitian matrix. A fill-reducing permutation is used. `F = ldltfact(A)` is most frequently used to solve systems of equations `A*x = b` with `F\b`, but also the methods `diag`, `det`, `logdet` are defined for `F`. You can also extract individual factors from `F`, using `F[:L]`. However, since pivoting is on by default, the factorization is internally represented as `A == P'*L*D*L'*P` with a permutation matrix `P`; using just `L` without accounting for `P` will give incorrect answers. To include the effects of permutation, it's typically preferable to extact "combined" factors like `PtL = F[:PtL]` (the equivalent of `P'*L`) and `LtP = F[:UP]` (the equivalent of `L'*P`). The complete list of supported factors is `:L, :PtL, :D, :UP, :U, :LD, :DU, :PtLD, :DUP`.

Setting optional `shift` keyword argument computes the factorization of `A+shift*I` instead of `A`. If the `perm` argument is nonempty, it should be a permutation of `1:size(A,1)` giving the ordering to use (instead of CHOLMOD's default AMD ordering).

The function calls the C library CHOLMOD and many other functions from the library are wrapped but not exported.
"""
ldltfact(A::SparseMatrixCSC; shift=0, perm=Int[])

doc"""
    connect([host],port) -> TCPSocket

Connect to the host `host` on port `port`
"""
connect(host=?, port)

doc"""
    connect(path) -> PipeEndpoint

Connect to the Named Pipe / Domain Socket at ``path``
"""
connect(path)

doc"""
    connect(manager::FooManager, pid::Int, config::WorkerConfig) -> (instrm::AsyncStream, outstrm::AsyncStream)

Implemented by cluster managers using custom transports. It should establish a logical connection to worker with id `pid`, specified by `config` and return a pair of `AsyncStream` objects. Messages from `pid` to current process will be read off `instrm`, while messages to be sent to `pid` will be written to `outstrm`. The custom transport implementation must ensure that messages are delivered and received completely and in order. `Base.connect(manager::ClusterManager.....)` sets up TCP/IP socket connections in-between workers.
"""
connect(manager, pid::Int, config::WorkerConfig)

doc"""
    mean(v[, region])

Compute the mean of whole array `v`, or optionally along the dimensions in `region`. Note: Julia does not ignore `NaN` values in the computation. For applications requiring the handling of missing data, the `DataArray` package is recommended.
"""
mean

doc"""
    split(string, [chars]; limit=0, keep=true)

Return an array of substrings by splitting the given string on occurrences of the given character delimiters, which may be specified in any of the formats allowed by `search`'s second argument (i.e. a single character, collection of characters, string, or regular expression). If `chars` is omitted, it defaults to the set of all space characters, and `keep` is taken to be `false`. The two keyword arguments are optional: they are are a maximum size for the result and a flag determining whether empty fields should be kept in the result.
"""
split

doc"""
    dump(x)

Show all user-visible structure of a value.
"""
dump

doc"""
    sumabs(itr)

Sum absolute values of all elements in a collection. This is equivalent to `sum(abs(itr))` but faster.
"""
sumabs(itr)

doc"""
    sumabs(A, dims)

Sum absolute values of elements of an array over the given dimensions.
"""
sumabs(A, dims)

doc"""
    svdvals!(A)

Returns the singular values of `A`, while saving space by overwriting the input.
"""
svdvals!

doc"""
    consume(task, values...)

Receive the next value passed to `produce` by the specified task. Additional arguments may be passed, to be returned from the last `produce` call in the producer.
"""
consume

doc"""
    hankelh2x(nu, x)

Scaled Bessel function of the third kind of order `nu`, $H^{(2)}_\nu(x) e^{x i}$.
"""
hankelh2x

doc"""
    ndigits(n, b)

Compute the number of digits in number `n` written in base `b`.
"""
ndigits

doc"""
    cummax(A, [dim])

Cumulative maximum along a dimension. The dimension defaults to 1.
"""
cummax

doc"""
    watch_file(path, timeout_s::Real)

Watch file or directory `path` for changes until a change occurs or `timeout_s` seconds have elapsed.

The returned value is an object with boolean fields `changed`, `renamed`, and `timedout`, giving the result of watching the file.

This behavior of this function varies slightly across platforms. See <https://nodejs.org/api/fs.html#fs_caveats> for more detailed information.
"""
watch_file

doc"""
    At_rdiv_Bt(A, B)

For matrices or vectors $A$ and $B$, calculates $Aᵀ / Bᵀ$
"""
At_rdiv_Bt

doc"""
    isinteractive() -> Bool

Determine whether Julia is running an interactive session.
"""
isinteractive

doc"""
    At_mul_Bt(A, B)

For matrices or vectors $A$ and $B$, calculates $Aᵀ⋅Bᵀ$
"""
At_mul_Bt

doc"""
    sum!(r, A)

Sum elements of `A` over the singleton dimensions of `r`, and write results to `r`.
"""
sum!

doc"""
    close(stream)

Close an I/O stream. Performs a `flush` first.
"""
close(stream::IO)

doc"""
    close(Channel)

Closes a channel. An exception is thrown by:

* `put!` on a closed channel.
* `take!` and `fetch` on an empty, closed channel.
"""
close(::Channel)

doc"""
    cospi(x)

Compute $\cos(\pi x)$ more accurately than `cos(pi*x)`, especially for large `x`.
"""
cospi

doc"""
    parentindexes(A)

From an array view `A`, returns the corresponding indexes in the parent
"""
parentindexes

doc"""
    display(x)
    display(d::Display, x)
    display(mime, x)
    display(d::Display, mime, x)

Display `x` using the topmost applicable display in the display stack, typically using the richest supported multimedia output for `x`, with plain-text `STDOUT` output as a fallback. The `display(d, x)` variant attempts to display `x` on the given display `d` only, throwing a `MethodError` if `d` cannot display objects of this type.

There are also two variants with a `mime` argument (a MIME type string, such as `"image/png"`), which attempt to display `x` using the requested MIME type *only*, throwing a `MethodError` if this type is not supported by either the display(s) or by `x`. With these variants, one can also supply the "raw" data in the requested MIME type by passing `x::AbstractString` (for MIME types with text-based storage, such as text/html or application/postscript) or `x::Vector{UInt8}` (for binary MIME types).
"""
display

doc"""
    @spawnat

Accepts two arguments, `p` and an expression. A closure is created around the expression and run asynchronously on process `p`. Returns a `RemoteRef` to the result.
"""
:@spawnat

doc"""
    print_shortest(io, x)

Print the shortest possible representation, with the minimum number of consecutive non-zero digits, of number `x`, ensuring that it would parse to the exact same number.
"""
print_shortest

doc"""
    merge(collection, others...)

Construct a merged collection from the given collections. If necessary, the
types of the resulting collection will be promoted to accommodate the types of
the merged collections. If the same key is present in another collection, the
value for that key will be the value it has in the last collection listed.

```jldoctest
julia> a = Dict("foo" => 0.0, "bar" => 42.0)
Dict{ASCIIString,Float64} with 2 entries:
  "bar" => 42.0
  "foo" => 0.0

julia> b = Dict(utf8("baz") => 17, utf8("bar") => 4711)
Dict{UTF8String,Int64} with 2 entries:
  "bar" => 4711
  "baz" => 17

julia> merge(a, b)
Dict{UTF8String,Float64} with 3 entries:
  "bar" => 4711.0
  "baz" => 17.0
  "foo" => 0.0

julia> merge(b, a)
Dict{UTF8String,Float64} with 3 entries:
  "bar" => 42.0
  "baz" => 17.0
  "foo" => 0.0
```
"""
merge

doc"""
    circshift(A,shifts)

Circularly shift the data in an array. The second argument is a vector giving the amount to shift in each dimension.
"""
circshift

doc"""
    fieldnames(x::DataType)

Get an array of the fields of a `DataType`.
"""
fieldnames

doc"""
    yield()

Switch to the scheduler to allow another scheduled task to run. A task that calls this function is still runnable, and will be restarted immediately if there are no other runnable tasks.
"""
yield

doc"""
    transpose!(dest,src)

Transpose array `src` and store the result in the preallocated array `dest`, which should have a size corresponding to `(size(src,2),size(src,1))`. No in-place transposition is supported and unexpected results will happen if `src` and `dest` have overlapping memory regions.
"""
transpose!

doc"""
    isconst([m::Module], s::Symbol) -> Bool

Determine whether a global is declared `const` in a given `Module`. The default `Module` argument is `current_module()`.
"""
isconst

doc"""
```rst
..  open(command, mode::AbstractString="r", stdio=DevNull)

Start running ``command`` asynchronously, and return a tuple
``(stream,process)``.  If ``mode`` is ``"r"``, then ``stream``
reads from the process's standard output and ``stdio`` optionally
specifies the process's standard input stream.  If ``mode`` is
``"w"``, then ``stream`` writes to the process's standard input
and ``stdio`` optionally specifies the process's standard output
stream.
```
"""
open(command::Cmd, mod::AbstractString="r", stdio=DevNull)

doc"""
```rst
..  open(f::Function, command, mode::AbstractString="r", stdio=DevNull)

Similar to ``open(command, mode, stdio)``, but calls ``f(stream)``
on the resulting read or write stream, then closes the stream
and waits for the process to complete.  Returns the value returned
by ``f``.
```
"""
open(f::Function, command::Cmd, mod::AbstractString="r", stdio=DevNull)

doc"""
```rst
..  open(file_name, [read, write, create, truncate, append]) -> IOStream

Open a file in a mode specified by five boolean arguments. The default is to open files for reading only. Returns a stream for accessing the file.
```
"""
open(file_name, ::Bool, ::Bool, ::Bool, ::Bool, ::Bool)

doc"""
```rst
..  open(file_name, [mode]) -> IOStream

Alternate syntax for open, where a string-based mode specifier is used instead of the five booleans. The values of ``mode`` correspond to those from ``fopen(3)`` or Perl ``open``, and are equivalent to setting the following boolean groups:

==== =================================
 r    read
 r+   read, write
 w    write, create, truncate
 w+   read, write, create, truncate
 a    write, create, append
 a+   read, write, create, append
==== =================================

```
"""
open(file_name, mode="r")

doc"""
    open(f::Function, args...)

Apply the function `f` to the result of `open(args...)`
and close the resulting file descriptor upon completion.

**Example**: `open(readall, "file.txt")`
"""
open(f::Function, args...)

doc"""
    sort(v, [alg=<algorithm>,] [by=<transform>,] [lt=<comparison>,] [rev=false])

Variant of `sort!` that returns a sorted copy of `v` leaving `v` itself unmodified.
"""
sort(v,?,?,?,?)

"""
    sort(A, dim, [alg=<algorithm>,] [by=<transform>,] [lt=<comparison>,] [rev=false])

Sort a multidimensional array `A` along the given dimension.
"""
sort(A,dim,?,?,?,?)

doc"""
    kron(A, B)

Kronecker tensor product of two vectors or two matrices.
"""
kron

doc"""
    >>(x, n)

Right bit shift operator, preserving the sign of `x`.
"""
Base.(:(>>))

doc"""
    fieldoffsets(type)

The byte offset of each field of a type relative to the data start. For example, we could use it
in the following manner to summarize information about a struct type:

```jldoctest
julia> structinfo(T) = [zip(fieldoffsets(T),fieldnames(T),T.types)...];

julia> structinfo(StatStruct)
12-element Array{Tuple{Int64,Symbol,DataType},1}:
 (0,:device,UInt64)
 (8,:inode,UInt64)
 (16,:mode,UInt64)
 (24,:nlink,Int64)
 (32,:uid,UInt64)
 (40,:gid,UInt64)
 (48,:rdev,UInt64)
 (56,:size,Int64)
 (64,:blksize,Int64)
 (72,:blocks,Int64)
 (80,:mtime,Float64)
 (88,:ctime,Float64)
```
"""
fieldoffsets

doc"""
    randn([rng], [dims...])

Generate a normally-distributed random number with mean 0 and standard deviation 1. Optionally generate an array of normally-distributed random numbers.
"""
randn

doc"""
    process_exited(p::Process)

Determine whether a process has exited.
"""
process_exited

doc"""
    tuple(xs...)

Construct a tuple of the given objects.
"""
tuple

doc"""
    besseli(nu, x)

Modified Bessel function of the first kind of order `nu`, $I_\nu(x)$.
"""
besseli

doc"""
    eachmatch(r::Regex, s::AbstractString[, overlap::Bool=false])

Search for all matches of a the regular expression `r` in `s` and return a iterator over the matches. If overlap is `true`, the matching sequences are allowed to overlap indices in the original string, otherwise they must be from distinct character ranges.
"""
eachmatch

doc"""
    log10(x)

Compute the logarithm of `x` to base 10. Throws `DomainError` for negative `Real` arguments.
"""
log10

doc"""
    @profile

`@profile <expression>` runs your expression while taking periodic backtraces. These are appended to an internal buffer of backtraces.
"""
:@profile

doc"""
    extrema(itr)

Compute both the minimum and maximum element in a single pass, and return them as a 2-tuple.
"""
extrema

doc"""
    isdigit(c::Union{Char,AbstractString}) -> Bool

Tests whether a character is a numeric digit (0-9), or whether this is true for all elements of a string.
"""
isdigit

doc"""
    @windows

Given `@windows? a : b`, do `a` on Windows and `b` elsewhere. See documentation for Handling Platform Variations in the Calling C and Fortran Code section of the manual.
"""
:@windows

doc"""
    @unix

Given `@unix? a : b`, do `a` on Unix systems (including Linux and OS X) and `b` elsewhere. See documentation for Handling Platform Variations in the Calling C and Fortran Code section of the manual.
"""
:@unix

doc"""
    num2hex(f)

Get a hexadecimal string of the binary representation of a floating point number
"""
num2hex

doc"""
    count_ones(x::Integer) -> Integer

Number of ones in the binary representation of `x`.

```jldoctest
julia> count_ones(7)
3
```
"""
count_ones

doc"""
    reim(z)

Return both the real and imaginary parts of the complex number `z`
"""
reim

doc"""
    displayable(mime) -> Bool
    displayable(d::Display, mime) -> Bool

Returns a boolean value indicating whether the given `mime` type (string) is displayable by any of the displays in the current display stack, or specifically by the display `d` in the second variant.
"""
displayable

doc"""
    sdata(S::SharedArray)

Returns the actual `Array` object backing `S`
"""
sdata

doc"""
    truncate(file,n)

Resize the file or buffer given by the first argument to exactly `n` bytes, filling previously unallocated space with '\\0' if the file or buffer is grown
"""
truncate

doc"""
```rst
..  stat(file)

Returns a structure whose fields contain information about the file. The fields of the structure are:

========= ======================================================================
 size      The size (in bytes) of the file
 device    ID of the device that contains the file
 inode     The inode number of the file
 mode      The protection mode of the file
 nlink     The number of hard links to the file
 uid       The user id of the owner of the file
 gid       The group id of the file owner
 rdev      If this file refers to a device, the ID of the device it refers to
 blksize   The file-system preferred block size for the file
 blocks    The number of such blocks allocated
 mtime     Unix timestamp of when the file was last modified
 ctime     Unix timestamp of when the file was created
========= ======================================================================
```
"""
stat

doc"""
    exp10(x)

Compute $10^x$.
"""
exp10

doc"""
    &(x, y)

Bitwise and
"""
&

doc"""
    besselyx(nu, x)

Scaled Bessel function of the second kind of order `nu`, $Y_\nu(x) e^{- | \operatorname{Im}(x) |}$.
"""
besselyx

doc"""
    eigmax(A)

Returns the largest eigenvalue of `A`.
"""
eigmax

doc"""
    PipeBuffer()

An IOBuffer that allows reading and performs writes by appending. Seeking and truncating are not supported. See IOBuffer for the available constructors.
"""
PipeBuffer()

doc"""
    PipeBuffer(data::Vector{UInt8},[maxsize])

Create a PipeBuffer to operate on a data vector, optionally specifying a size beyond which the underlying Array may not be grown.
"""
PipeBuffer(data)

doc"""
```rst
..  sortperm(v, [alg=<algorithm>,] [by=<transform>,] [lt=<comparison>,] [rev=false])

Return a permutation vector of indices of ``v`` that puts it in sorted order.
Specify ``alg`` to choose a particular sorting algorithm (see Sorting Algorithms).
``MergeSort`` is used by default, and since it is stable, the resulting permutation
will be the lexicographically first one that puts the input array into sorted order –
i.e. indices of equal elements appear in ascending order. If you choose a non-stable
sorting algorithm such as ``QuickSort``, a different permutation that puts the array
into order may be returned. The order is specified using the same keywords as ``sort!``.

See also :func:`sortperm!`
```
"""
sortperm

doc"""
    mod2pi(x)

Modulus after division by 2pi, returning in the range \[0,2pi).

This function computes a floating point representation of the modulus after division by numerically exact 2pi, and is therefore not exactly the same as mod(x,2pi), which would compute the modulus of `x` relative to division by the floating-point number 2pi.
"""
mod2pi

doc"""
    cumsum!(B, A, [dim])

Cumulative sum of `A` along a dimension, storing the result in `B`. The dimension defaults to 1.
"""
cumsum!

doc"""
    logdet(M)

Log of matrix determinant. Equivalent to `log(det(M))`, but may provide increased accuracy and/or speed.
"""
logdet

doc"""
    hcat(A...)

Concatenate along dimension 2
"""
hcat

doc"""
    select(v, k, [by=<transform>,] [lt=<comparison>,] [rev=false])

Variant of `select!` which copies `v` before partially sorting it, thereby returning the same thing as `select!` but leaving `v` unmodified.
"""
select

doc"""
    lpad(string, n, p)

Make a string at least `n` columns wide when printed, by padding on the left with copies of `p`.
"""
lpad

doc"""
```rst
..  mapreduce(f, op, v0, itr)

Apply function ``f`` to each element in ``itr``, and then reduce
the result using the binary function ``op``. ``v0`` must be a
neutral element for ``op`` that will be returned for empty
collections. It is unspecified whether ``v0`` is used for non-empty
collections.

:func:`mapreduce` is functionally equivalent to calling ``reduce(op,
v0, map(f, itr))``, but will in general execute faster since no
intermediate collection needs to be created. See documentation for
:func:`reduce` and :func:`map`.

.. doctest::

   julia> mapreduce(x->x^2, +, [1:3;]) # == 1 + 4 + 9
   14

The associativity of the reduction is implementation-dependent.
Additionally, some implementations may reuse the return value of
``f`` for elements that appear multiple times in ``itr``.
Use :func:`mapfoldl` or :func:`mapfoldr` instead for guaranteed
left or right associativity and invocation of ``f`` for every value.
```
"""
mapreduce(f, op, v0, itr)

doc"""
```rst
..  mapreduce(f, op, itr)

Like ``mapreduce(f, op, v0, itr)``. In general, this cannot be used
with empty collections (see ``reduce(op, itr)``).
```
"""
mapreduce(f, op, itr)

doc"""
    accept(server[,client])

Accepts a connection on the given server and returns a connection to the client. An uninitialized client stream may be provided, in which case it will be used instead of creating a new stream.
"""
accept

doc"""
```rst
..  ordschur(Q, T, select) -> Schur

Reorders the Schur factorization of a real matrix ``A=Q*T*Q'`` according to the logical array ``select`` returning a Schur object ``F``. The selected eigenvalues appear in the leading diagonal of ``F[:Schur]`` and the corresponding leading columns of ``F[:vectors]`` form an orthonormal basis of the corresponding right invariant subspace. A complex conjugate pair of eigenvalues must be either both included or excluded via ``select``.
```
"""
ordschur(Q, T, select)

doc"""
```rst
..  ordschur(S, select) -> Schur

Reorders the Schur factorization ``S`` of type ``Schur``.
```
"""
ordschur(S::Schur, select)

doc"""
```rst
..  ordschur(S, T, Q, Z, select) -> GeneralizedSchur

Reorders the Generalized Schur factorization of a matrix ``(A, B) = (Q*S*Z^{H}, Q*T*Z^{H})`` according to the logical array ``select`` and returns a GeneralizedSchur object ``GS``.  The selected eigenvalues appear in the leading diagonal of both ``(GS[:S], GS[:T])`` and the left and right unitary/orthogonal Schur vectors are also reordered such that ``(A, B) = GS[:Q]*(GS[:S], GS[:T])*GS[:Z]^{H}`` still holds and the generalized eigenvalues of ``A`` and ``B`` can still be obtained with ``GS[:alpha]./GS[:beta]``.
```
"""
ordschur(S, T, Q, Z)

doc"""
```rst
..  ordschur(GS, select) -> GeneralizedSchur

Reorders the Generalized Schur factorization of a Generalized Schur object.  See :func:`ordschur`.
```
"""
ordschur(GS::GeneralizedSchur, select)

doc"""
    triu!(M)

Upper triangle of a matrix, overwriting `M` in the process.
"""
triu!(M)

doc"""
    triu!(M, k)

Returns the upper triangle of `M` starting from the `k`th superdiagonal, overwriting `M` in the process.
"""
triu!(M, k)

doc"""
    readall(stream::IO)

Read the entire contents of an I/O stream as a string.
"""
readall(stream::IO)

doc"""
    readall(filename::AbstractString)

Open `filename`, read the entire contents as a string, then close the file. Equivalent to `open(readall, filename)`.
"""
readall(filename::AbstractString)

doc"""
    poll_file(path, interval_s::Real, timeout_s::Real) -> (previous::StatStruct, current::StatStruct)

Monitor a file for changes by polling every `interval_s` seconds until a change occurs or `timeout_s` seconds have elapsed. The `interval_s` should be a long period; the default is 5.007 seconds.

Returns a pair of `StatStruct` objects `(previous, current)` when a change is detected.

To determine when a file was modified, compare `mtime(prev) != mtime(current)` to detect notification of changes. However, using `watch_file` for this operation is preferred, since it is more reliable and efficient, although in some situations it may not be available.
"""
poll_file

doc"""
    eachline(stream)

Create an iterable object that will yield each line from a stream.
"""
eachline

doc"""
    isposdef!(A) -> Bool

Test whether a matrix is positive definite, overwriting `A` in the processes.
"""
isposdef!

doc"""
    complex(r, [i])

Convert real numbers or arrays to complex. `i` defaults to zero.
"""
complex

doc"""
    setopt(sock::UDPSocket; multicast_loop = nothing, multicast_ttl=nothing, enable_broadcast=nothing, ttl=nothing)

Set UDP socket options. `multicast_loop`: loopback for multicast packets (default: `true`). `multicast_ttl`: TTL for multicast packets. `enable_broadcast`: flag must be set to `true` if socket will be used for broadcast messages, or else the UDP system will return an access error (default: `false`). `ttl`: Time-to-live of packets sent on the socket.
"""
setopt

doc"""
    Mmap.Anonymous(name, readonly, create)

Create an `IO`-like object for creating zeroed-out mmapped-memory that is not tied to a file for use in `Mmap.mmap`. Used by `SharedArray` for creating shared memory arrays.
"""
Mmap.Anonymous

doc"""
    A_rdiv_Bc(A, B)

For matrices or vectors $A$ and $B$, calculates $A / Bᴴ$
"""
A_rdiv_Bc

doc"""
```rst
..  round([T,] x, [digits, [base]], [r::RoundingMode])

``round(x)`` rounds ``x`` to an integer value according to the default
rounding mode (see :func:`get_rounding`), returning a value of the same type as
``x``. By default (:obj:`RoundNearest`), this will round to the nearest
integer, with ties (fractional values of 0.5) being rounded to the even
integer.

.. doctest::

   julia> round(1.7)
   2.0

   julia> round(1.5)
   2.0

   julia> round(2.5)
   2.0

The optional :obj:`RoundingMode` argument will change how the number gets rounded.

``round(T, x, [r::RoundingMode])`` converts the result to type ``T``, throwing an
:exc:`InexactError` if the value is not representable.

``round(x, digits)`` rounds to the specified number of digits after the
decimal place (or before if negative). ``round(x, digits, base)`` rounds
using a base other than 10.

.. doctest::

   julia> round(pi, 2)
   3.14

   julia> round(pi, 3, 2)
   3.125

.. note::

   Rounding to specified digits in bases other than 2 can be inexact when
   operating on binary floating point numbers. For example, the ``Float64``
   value represented by ``1.15`` is actually *less* than 1.15, yet will be
   rounded to 1.2.

   .. doctest::

      julia> x = 1.15
      1.15

      julia> @sprintf "%.20f" x
      "1.14999999999999991118"

      julia> x < 115//100
      true

      julia> round(x, 1)
      1.2
```
"""
round(T::Type, x)

doc"""
```rst
.. round(z, RoundingModeReal, RoundingModeImaginary)

Returns the nearest integral value of the same type as the complex-valued
``z`` to ``z``, breaking ties using the specified :obj:`RoundingMode`\ s.
The first :obj:`RoundingMode` is used for rounding the real components while
the second is used for rounding the imaginary components.
```
"""
round(z::Real, ::Type{RoundingMode}, ::Type{RoundingMode})

doc"""
    strwidth(s)

Gives the number of columns needed to print a string.
"""
strwidth

doc"""
    function_module(f::Function, types) -> Module

Determine the module containing a given definition of a generic function.
"""
function_module

doc"""
    hex(n, [pad])

Convert an integer to a hexadecimal string, optionally specifying a number of digits to pad to.
"""
hex

doc"""
    workspace()

Replace the top-level module (`Main`) with a new one, providing a clean workspace. The previous `Main` module is made available as `LastMain`. A previously-loaded package can be accessed using a statement such as `using LastMain.Package`.

This function should only be used interactively.
"""
workspace

doc"""
    tempdir()

Obtain the path of a temporary directory (possibly shared with other processes).
"""
tempdir

doc"""
    reduce(op, v0, itr)

Reduce the given collection `ìtr` with the given binary operator `op`. `v0` must be a neutral element for `op` that will be returned for empty collections. It is unspecified whether `v0` is used for non-empty collections.

Reductions for certain commonly-used operators have special implementations which should be used instead: `maximum(itr)`, `minimum(itr)`, `sum(itr)`, `prod(itr)`, `any(itr)`, `all(itr)`.

The associativity of the reduction is implementation dependent. This means that you can't use non-associative operations like `-` because it is undefined whether `reduce(-,[1,2,3])` should be evaluated as `(1-2)-3` or `1-(2-3)`. Use `foldl` or `foldr` instead for guaranteed left or right associativity.

Some operations accumulate error, and parallelism will also be easier if the reduction can be executed in groups. Future versions of Julia might change the algorithm. Note that the elements are not reordered if you use an ordered collection.
"""
reduce(op, v0, itr)

doc"""
    reduce(op, itr)

Like `reduce(op, v0, itr)`. This cannot be used with empty collections, except for some special cases (e.g. when `op` is one of `+`, `*`, `max`, `min`, `&`, `|`) when Julia can determine the neutral element of `op`.
"""
reduce(op, itr)

doc"""
    .>=(x, y)
    .≥(x,y)

Element-wise greater-than-or-equals comparison operator.
"""
Base.(:(.>=))

doc"""
    stdm(v, m)

Compute the sample standard deviation of a vector `v` with known mean `m`. Note: Julia does not ignore `NaN` values in the computation.
"""
stdm

doc"""
    mv(src::AbstractString,dst::AbstractString; remove_destination::Bool=false)

Move the file, link, or directory from `src` to `dst`. `remove_destination=true` will first remove an existing `dst`.
"""
mv

doc"""
    erfi(x)

Compute the imaginary error function of `x`,
defined by $-i \operatorname{erf}(ix)$.
"""
erfi

doc"""
```rst
..  floor([T,] x, [digits, [base]])

``floor(x)`` returns the nearest integral value of the same type as ``x``
that is less than or equal to ``x``.

``floor(T, x)`` converts the result to type ``T``, throwing an
``InexactError`` if the value is not representable.

``digits`` and ``base`` work as for :func:`round`.
```
"""
floor

doc"""
    tril!(M)

Lower triangle of a matrix, overwriting `M` in the process.
"""
tril!(M)

doc"""
    tril!(M, k)

Returns the lower triangle of `M` starting from the `k`th superdiagonal, overwriting `M` in the process.
"""
tril!(M, k)

doc"""
    divrem(x, y)

The quotient and remainder from Euclidean division. Equivalent to `(x÷y, x%y)`.
"""
divrem

doc"""
    ErrorException(msg)

Generic error type. The error message, in the `.msg` field, may provide more specific details.
"""
ErrorException

doc"""
    reverse(v [, start=1 [, stop=length(v) ]] )

Return a copy of `v` reversed from start to stop.
"""
reverse

doc"""
    reverse(s::AbstractString) -> AbstractString

Reverses a string
"""
reverse(s::AbstractString)

doc"""
```rst
..  reverse!(v [, start=1 [, stop=length(v) ]]) -> v

In-place version of :func:`reverse`.
```
"""
reverse!

doc"""
    flipdim(A, d)

Reverse `A` in dimension `d`.
"""
flipdim

doc"""
    num(x)

Numerator of the rational representation of `x`
"""
num

doc"""
    eachindex(A...)

Creates an iterable object for visiting each index of an AbstractArray `A` in an efficient manner. For array types that have opted into fast linear indexing (like `Array`), this is simply the range `1:length(A)`. For other array types, this returns a specialized Cartesian range to efficiently index into the array with indices specified for every dimension. For other iterables, including strings and dictionaries, this returns an iterator object supporting arbitrary index types (e.g. unevenly spaced or non-integer indices).

Example for a sparse 2-d array:

```jldoctest
julia> A = sparse([1, 1, 2], [1, 3, 1], [1, 2, -5])
2x3 sparse matrix with 3 Int64 entries:
        [1, 1]  =  1
        [2, 1]  =  -5
        [1, 3]  =  2

julia> for iter in eachindex(A)
           @show iter.I[1], iter.I[2]
           @show A[iter]
       end
(iter.I[1],iter.I[2]) = (1,1)
A[iter] = 1
(iter.I[1],iter.I[2]) = (2,1)
A[iter] = -5
(iter.I[1],iter.I[2]) = (1,2)
A[iter] = 0
(iter.I[1],iter.I[2]) = (2,2)
A[iter] = 0
(iter.I[1],iter.I[2]) = (1,3)
A[iter] = 2
(iter.I[1],iter.I[2]) = (2,3)
A[iter] = 0
```

If you supply more than one ``AbstractArray`` argument, ``eachindex``
will create an iterable object that is fast for all arguments (a
``UnitRange`` if all inputs have fast linear indexing, a
CartesianRange otherwise).  If the arrays have different sizes and/or
dimensionalities, ``eachindex`` returns an iterable that spans the
largest range along each dimension.
"""
eachindex

doc"""
    .<(x, y)

Element-wise less-than comparison operator.
"""
Base.(:(.<))

doc"""
    UndefRefError()

The item or field is not defined for the given object.
"""
UndefRefError

doc"""
    bessely1(x)

Bessel function of the second kind of order 1, $Y_1(x)$.
"""
bessely1

doc"""
```rst
..  cumprod(A, [dim])

Cumulative product along a dimension ``dim`` (defaults to 1).
See also :func:`cumprod!` to use a preallocated output array,
both for performance and to control the precision of the
output (e.g. to avoid overflow).
```
"""
cumprod

doc"""
    besseljx(nu, x)

Scaled Bessel function of the first kind of order `nu`, $J_\nu(x) e^{- | \operatorname{Im}(x) |}$.
"""
besseljx

doc"""
    print(x)

Write (to the default output stream) a canonical (un-decorated) text representation of a value if there is one, otherwise call `show`. The representation used by `print` includes minimal formatting and tries to avoid Julia-specific details.
"""
print

doc"""
    filt(b, a, x, [si])

Apply filter described by vectors `a` and `b` to vector `x`, with an optional initial filter state vector `si` (defaults to zeros).
"""
filt

doc"""
    indexpids(S::SharedArray)

Returns the index of the current worker into the `pids` vector, i.e., the list of workers mapping the SharedArray
"""
indexpids

doc"""
    remotecall_wait(id, func, args...)

Perform `wait(remotecall(...))` in one message.
"""
remotecall_wait

doc"""
```rst
..  append!(collection, collection2) -> collection.

Add the elements of ``collection2`` to the end of ``collection``.

.. doctest::

   julia> append!([1],[2,3])
   3-element Array{Int64,1}:
    1
    2
    3

.. doctest::

   julia> append!([1, 2, 3], [4, 5, 6])
   6-element Array{Int64,1}:
    1
    2
    3
    4
    5
    6

Use :func:`push!` to add individual items to ``collection`` which are not
already themselves in another collection.
The result is of the preceding example is equivalent to
``push!([1, 2, 3], 4, 5, 6)``.
```
"""
append!

doc"""
    find(A)

Return a vector of the linear indexes of the non-zeros in `A` (determined by `A[i]!=0`). A common use of this is to convert a boolean array to an array of indexes of the `true` elements.
"""
find(A)

doc"""
    find(f,A)

Return a vector of the linear indexes of `A` where `f` returns `true`.
"""
find(f, A)

doc"""
    ctranspose(A)

The conjugate transposition operator (`'`).
"""
ctranspose

doc"""
    skip(s, offset)

Seek a stream relative to the current position.
"""
skip

doc"""
    lu(A) -> L, U, p

Compute the LU factorization of `A`, such that `A[p,:] = L*U`.
"""
lu

doc"""
    @task

Wrap an expression in a `Task` without executing it, and return the `Task`. This only creates a task, and does not run it.
"""
:@task

doc"""
    fld(x, y)

Largest integer less than or equal to `x/y`.
"""
fld

doc"""
    indmax(itr) -> Integer

Returns the index of the maximum element in a collection.
"""
indmax

doc"""
    writecsv(filename, A)

Equivalent to `writedlm` with `delim` set to comma.
"""
writecsv

doc"""
    wstring(s)

This is a synonym for either `utf32(s)` or `utf16(s)`, depending on whether `Cwchar_t` is 32 or 16 bits, respectively. The synonym `WString` for `UTF32String` or `UTF16String` is also provided.
"""
wstring

doc"""
    withenv(f::Function, kv::Pair...)

Execute `f()` in an environment that is temporarily modified (not replaced as in `setenv`) by zero or more `"var"=>val` arguments `kv`. `withenv` is generally used via the `withenv(kv...) do ... end` syntax. A value of `nothing` can be used to temporarily unset an environment variable (if it is set). When `withenv` returns, the original environment has been restored.
"""
withenv

doc"""
    setdiff!(s, iterable)

Remove each element of `iterable` from set `s` in-place.
"""
setdiff!

doc"""
    EOFError()

No more data was available to read from a file or stream.
"""
EOFError

doc"""
    isascii(c::Union{Char,AbstractString}) -> Bool

Tests whether a character belongs to the ASCII character set, or whether this is true for all elements of a string.
"""
isascii

doc"""
    ucfirst(string)

Returns `string` with the first character converted to uppercase.
"""
ucfirst

doc"""
    copysign(x, y)

Return `x` such that it has the same sign as `y`
"""
copysign

doc"""
    getaddrinfo(host)

Gets the IP address of the `host` (may have to do a DNS lookup)
"""
getaddrinfo

doc"""
    @show

Show an expression and result, returning the result.
"""
:@show

doc"""
    showcompact(x)

Show a more compact representation of a value. This is used for printing array elements. If a new type has a different compact representation, it should overload `showcompact(io, x)` where the first argument is a stream.
"""
showcompact

doc"""
    isleaftype(T)

Determine whether `T` is a concrete type that can have instances, meaning its only subtypes are itself and `None` (but `T` itself is not `None`).
"""
isleaftype

doc"""
    svdfact(A, [thin=true]) -> SVD

Compute the Singular Value Decomposition (SVD) of `A` and return an `SVD` object. `U`, `S`, `V` and `Vt` can be obtained from the factorization `F` with `F[:U]`, `F[:S]`, `F[:V]` and `F[:Vt]`, such that `A = U*diagm(S)*Vt`. If `thin` is `true`, an economy mode decomposition is returned. The algorithm produces `Vt` and hence `Vt` is more efficient to extract than `V`. The default is to produce a thin decomposition.
"""
svdfact(A)

doc"""
    svdfact(A, B) -> GeneralizedSVD

Compute the generalized SVD of `A` and `B`, returning a `GeneralizedSVD` Factorization object `F`, such that `A = F[:U]*F[:D1]*F[:R0]*F[:Q]'` and `B = F[:V]*F[:D2]*F[:R0]*F[:Q]'`.
"""
svdfact(A, B)

doc"""
    string(xs...)

Create a string from any values using the `print` function.
"""
string

doc"""
    erfc(x)

Compute the complementary error function of ``x``,
defined by $1 - \operatorname{erf}(x)$.
"""
erfc

doc"""
    prevfloat(f) -> AbstractFloat

Get the previous floating point number in lexicographic order
"""
prevfloat

doc"""
    rest(iter, state)

An iterator that yields the same elements as `iter`, but starting at the given `state`.
"""
rest

doc"""
    getfield(value, name::Symbol)

Extract a named field from a `value` of composite type. The syntax `a.b` calls `getfield(a, :b)`, and the syntax `a.(b)` calls `getfield(a, b)`.
"""
getfield

doc"""
    utf8(::Array{UInt8,1})

Create a UTF-8 string from a byte array.
"""
utf8(::Vector{UInt8})

doc"""
    utf8(::Ptr{UInt8}, [length])

Create a UTF-8 string from the address of a C (0-terminated) string encoded in UTF-8. A copy is made; the ptr can be safely freed. If `length` is specified, the string does not have to be 0-terminated.
"""
utf8(::Ptr{UInt8}, length::Int = 1)

doc"""
    utf8(s)

Convert a string to a contiguous UTF-8 string (all characters must be valid UTF-8 characters).
"""
utf8(s)

doc"""
    hvcat(rows::Tuple{Vararg{Int}}, values...)

Horizontal and vertical concatenation in one call. This function is called for block matrix syntax. The first argument specifies the number of arguments to concatenate in each block row.

```jldoctest
julia> a, b, c, d, e, f = 1, 2, 3, 4, 5, 6
(1,2,3,4,5,6)

julia> [a b c; d e f]
2x3 Array{Int64,2}:
 1  2  3
 4  5  6

julia> hvcat((3,3), a,b,c,d,e,f)
2x3 Array{Int64,2}:
 1  2  3
 4  5  6

julia> [a b;c d; e f]
3x2 Array{Int64,2}:
 1  2
 3  4
 5  6

julia> hvcat((2,2,2), a,b,c,d,e,f)
3x2 Array{Int64,2}:
 1  2
 3  4
 5  6
```

If the first argument is a single integer `n`, then all block rows are assumed to have `n` block columns.
"""
hvcat

doc"""
    besselj1(x)

Bessel function of the first kind of order 1, $J_1(x)$.
"""
besselj1

doc"""
    sinpi(x)

Compute $\sin(\pi x)$ more accurately than `sin(pi*x)`, especially for large `x`.
"""
sinpi

doc"""
    select!(v, k, [by=<transform>,] [lt=<comparison>,] [rev=false])

Partially sort the vector `v` in place, according to the order specified by `by`, `lt` and `rev` so that the value at index `k` (or range of adjacent values if `k` is a range) occurs at the position where it would appear if the array were fully sorted via a non-stable algorithm. If `k` is a single index, that value is returned; if `k` is a range, an array of values at those indices is returned. Note that `select!` does not fully sort the input array.
"""
select!

doc"""
    maximum!(r, A)

Compute the maximum value of `A` over the singleton dimensions of `r`, and write results to `r`.
"""
maximum!

doc"""
    prod(itr)

Returns the product of all elements of a collection.
"""
prod(itr)

"""
    prod(A, dims)

Multiply elements of an array over the given dimensions.
"""
prod(A, dims)

doc"""
    Base.linearindexing(A)

`linearindexing` defines how an AbstractArray most efficiently accesses its elements. If `Base.linearindexing(A)` returns `Base.LinearFast()`, this means that linear indexing with only one index is an efficient operation. If it instead returns `Base.LinearSlow()` (by default), this means that the array intrinsically accesses its elements with indices specified for every dimension. Since converting a linear index to multiple indexing subscripts is typically very expensive, this provides a traits-based mechanism to enable efficient generic code for all array types.

An abstract array subtype `MyArray` that wishes to opt into fast linear indexing behaviors should define `linearindexing` in the type-domain:

    Base.linearindexing{T<:MyArray}(::Type{T}) = Base.LinearFast()
"""
Base.linearindexing

doc"""
    isqrt(n)

Integer square root: the largest integer `m` such that `m*m <= n`.
"""
isqrt

doc"""
    log1p(x)

Accurate natural logarithm of `1+x`. Throws `DomainError` for `Real` arguments less than -1.

There is an experimental variant in the `Base.Math.JuliaLibm` module, which is typically faster and more accurate.
"""
log1p

doc"""
    flipsign(x, y)

Return `x` with its sign flipped if `y` is negative. For example `abs(x) = flipsign(x,x)`.
"""
flipsign

doc"""
    lbeta(x, y)

Natural logarithm of the absolute value of the beta function $\log(|\operatorname{B}(x,y)|)$.
"""
lbeta

doc"""
```rst
..  randstring([rng,] len=8)

Create a random ASCII string of length ``len``, consisting of upper- and
lower-case letters and the digits 0-9. The optional ``rng`` argument
specifies a random number generator, see :ref:`Random Numbers <random-numbers>`.
```
"""
randstring

doc"""
    Float64(x [, mode::RoundingMode])

Create a Float64 from `x`. If `x` is not exactly representable then
`mode` determines how `x` is rounded.

```jldoctest
julia> Float64(pi, RoundDown)
3.141592653589793

julia> Float64(pi, RoundUp)
3.1415926535897936
```

See `get_rounding` for available rounding modes.
"""
Float64

doc"""
    function_name(f::Function) -> Symbol

Get the name of a generic `Function` as a symbol, or `:anonymous`.
"""
function_name

doc"""
```rst
..  addprocs(n::Integer; exeflags=``) -> List of process identifiers

Launches workers using the in-built ``LocalManager`` which only launches workers on the local host.
This can be used to take advantage of multiple cores. ``addprocs(4)`` will add 4 processes on the local machine.
```
"""
addprocs(n::Integer)

doc"""
```rst
..  addprocs() -> List of process identifiers

Equivalent to ``addprocs(CPU_CORES)``

Note that workers do not run a ``.juliarc.jl`` startup script, nor do they synchronize their global state
(such as global variables, new method definitions, and loaded modules) with any of the other running processes.
```
"""
addprocs()

"""
```
addprocs(machines; keyword_args...) -> List of process identifiers
```

Add processes on remote machines via SSH. Requires `julia` to be installed in the same
location on each node, or to be available via a shared file system.

`machines` is a vector of machine specifications.  Worker are started for each specification.

A machine specification is either a string `machine_spec` or a tuple - `(machine_spec, count)`.

`machine_spec` is a string of the form `[user@]host[:port] [bind_addr[:port]]`. `user` defaults
to current user, `port` to the standard ssh port. If `[bind_addr[:port]]` is specified, other
workers will connect to this worker at the specified `bind_addr` and `port`.

`count` is the number of workers to be launched on the specified host. If specified as `:auto`
it will launch as many workers as the number of cores on the specific host.


Keyword arguments:

* `tunnel`: if `true` then SSH tunneling will be used to connect to the worker from the
            master process. Default is `false`.

* `sshflags`: specifies additional ssh options, e.g.

    sshflags=`-i /home/foo/bar.pem`

* `max_parallel`: specifies the maximum number of workers connected to in parallel at a host.
                  Defaults to 10.

* `dir`: specifies the working directory on the workers. Defaults to the host's current
         directory (as found by `pwd()`)

* `exename`: name of the `julia` executable. Defaults to `"\$JULIA_HOME/julia"` or
             `"\$JULIA_HOME/julia-debug"` as the case may be.

* `exeflags`: additional flags passed to the worker processes.

* `topology`: Specifies how the workers connect to each other. Sending a message
            between unconnected workers results in an error.

  + `topology=:all_to_all`  :  All processes are connected to each other.
                      This is the default.

  + `topology=:master_slave`  :  Only the driver process, i.e. pid 1 connects to the
                        workers. The workers do not connect to each other.

  + `topology=:custom`  :  The `launch` method of the cluster manager specifes the
                  connection topology via fields `ident` and `connect_idents` in
                  `WorkerConfig`. A worker with a cluster manager identity `ident`
                  will connect to all workers specified in `connect_idents`.


Environment variables :

If the master process fails to establish a connection with a newly launched worker within 60.0 seconds,
the worker treats it a fatal situation and terminates. This timeout can be controlled via environment
variable `JULIA_WORKER_TIMEOUT`. The value of `JULIA_WORKER_TIMEOUT` on the master process, specifies
the number of seconds a newly launched worker waits for connection establishment.
"""
addprocs(machines)

doc"""
```rst
..  addprocs(manager::ClusterManager; kwargs...) -> List of process identifiers

Launches worker processes via the specified cluster manager.

For example Beowulf clusters are  supported via a custom cluster manager implemented in package ``ClusterManagers``.

The number of seconds a newly launched worker waits for connection establishment from the master can be
specified via variable ``JULIA_WORKER_TIMEOUT`` in the worker process's environment. Relevant only when using TCP/IP as transport.
```
"""
addprocs(manager::ClusterManager)

doc"""
    mkpath(path, [mode])

Create all directories in the given `path`, with permissions `mode`. `mode` defaults to 0o777, modified by the current file creation mask.
"""
mkpath

doc"""
```rst
..  lufact(A [,pivot=Val{true}]) -> F

Compute the LU factorization of ``A``. The return type of ``F`` depends on the type of ``A``. In most cases, if ``A`` is a subtype ``S`` of AbstractMatrix with an element type ``T`` supporting ``+``, ``-``, ``*`` and ``/`` the return type is ``LU{T,S{T}}``. If pivoting is chosen (default) the element type should also support ``abs`` and ``<``. When ``A`` is sparse and have element of type ``Float32``, ``Float64``, ``Complex{Float32}``, or ``Complex{Float64}`` the return type is ``UmfpackLU``. Some examples are shown in the table below.

======================= ========================= ========================================
Type of input ``A``     Type of output ``F``      Relationship between ``F`` and ``A``
======================= ========================= ========================================
:func:`Matrix`           ``LU``                   ``F[:L]*F[:U] == A[F[:p], :]``
:func:`Tridiagonal`      ``LU{T,Tridiagonal{T}}`` ``F[:L]*F[:U] == A[F[:p], :]``
:func:`SparseMatrixCSC`  ``UmfpackLU``            ``F[:L]*F[:U] == (F[:Rs] .* A)[F[:p], F[:q]]``
======================= ========================= ========================================

The individual components of the factorization ``F`` can be accessed by indexing:

=========== ======================================= ====== ======================== =============
Component   Description                             ``LU`` ``LU{T,Tridiagonal{T}}`` ``UmfpackLU``
=========== ======================================= ====== ======================== =============
``F[:L]``   ``L`` (lower triangular) part of ``LU``    ✓            ✓                        ✓
``F[:U]``   ``U`` (upper triangular) part of ``LU``    ✓            ✓                        ✓
``F[:p]``   (right) permutation ``Vector``             ✓            ✓                        ✓
``F[:P]``   (right) permutation ``Matrix``             ✓            ✓
``F[:q]``   left permutation ``Vector``                                                      ✓
``F[:Rs]``  ``Vector`` of scaling factors                                                    ✓
``F[:(:)]`` ``(L,U,p,q,Rs)`` components                                                      ✓
=========== ======================================= ====== ======================== =============

================== ====== ======================== =============
Supported function ``LU`` ``LU{T,Tridiagonal{T}}`` ``UmfpackLU``
================== ====== ======================== =============
     ``/``            ✓
     ``\``            ✓                       ✓             ✓
     ``cond``         ✓                                     ✓
     ``det``          ✓                       ✓             ✓
     ``logdet``       ✓                       ✓
     ``logabsdet``    ✓                       ✓
     ``size``         ✓                       ✓
================== ====== ======================== =============
```
"""
lufact

doc"""
    besselix(nu, x)

Scaled modified Bessel function of the first kind of order `nu`, $I_\nu(x) e^{- | \operatorname{Re}(x) |}$.
"""
besselix

doc"""
    union(s1,s2...)
    ∪(s1,s2...)

Construct the union of two or more sets. Maintains order with arrays.
"""
union

doc"""
    lstat(file)

Like stat, but for symbolic links gets the info for the link itself rather than the file it refers to. This function must be called on a file path rather than a file object or a file descriptor.
"""
lstat

doc"""
```rst
..  mapfoldl(f, op, v0, itr)

Like :func:`mapreduce`, but with guaranteed left associativity. ``v0``
will be used exactly once.
```
"""
mapfoldl(f, op, v0, itr)

doc"""
```rst
..  mapfoldl(f, op, itr)

Like ``mapfoldl(f, op, v0, itr)``, but using the first element of
``itr`` as ``v0``. In general, this cannot be used with empty
collections (see ``reduce(op, itr)``).
```
"""
mapfoldl(f, op, itr)

doc"""
    realmax(T)

The highest finite value representable by the given floating-point DataType `T`.
"""
realmax

doc"""
    takebuf_string(b::IOBuffer)

Obtain the contents of an `IOBuffer` as a string, without copying. Afterwards, the IOBuffer is reset to its initial state.
"""
takebuf_string

doc"""
    pipeline(from, to, ...)

Create a pipeline from a data source to a destination. The source and destination can
be commands, I/O streams, strings, or results of other `pipeline` calls. At least one
argument must be a command. Strings refer to filenames.
When called with more than two arguments, they are chained together from left to right.
For example `pipeline(a,b,c)` is equivalent to `pipeline(pipeline(a,b),c)`. This provides a more
concise way to specify multi-stage pipelines.

**Examples**:

* ``run(pipeline(`ls`, `grep xyz`))``
* ``run(pipeline(`ls`, "out.txt"))``
* ``run(pipeline("out.txt", `grep xyz`))``

"""
pipeline(from, to, rest...)

doc"""
    pipeline(command; stdin, stdout, stderr, append=false)

Redirect I/O to or from the given `command`. Keyword arguments specify which of
the command's streams should be redirected. `append` controls whether file output
appends to the file.
This is a more general version of the 2-argument `pipeline` function.
`pipeline(from, to)` is equivalent to `pipeline(from, stdout=to)` when `from` is a
command, and to `pipe(to, stdin=from)` when `from` is another kind of
data source.

**Examples**:

* ``run(pipeline(`dothings`, stdout="out.txt", stderr="errs.txt"))``
* ``run(pipeline(`update`, stdout="log.txt", append=true))``

"""
pipeline(command)

doc"""
    serialize(stream, value)

Write an arbitrary value to a stream in an opaque format, such that it can be read back by `deserialize`.
The read-back value will be as identical as possible to the original.
In general, this process will not work if the reading and writing are done by different versions of Julia,
or an instance of Julia with a different system image.
`Ptr` values are serialized as all-zero bit patterns (`NULL`).
"""
serialize

doc"""
    sum(itr)

Returns the sum of all elements in a collection.
"""
sum(itr)

doc"""
    sum(A, dims)

Sum elements of an array over the given dimensions.
"""
sum(A, dims)

doc"""
    sum(f, itr)

Sum the results of calling function `f` on each element of `itr`.
"""
sum(f::Function, itr)

doc"""
    typemin(T)

The lowest value representable by the given (real) numeric DataType `T`.
"""
typemin

doc"""
    call(x, args...)

If `x` is not a `Function`, then `x(args...)` is equivalent to `call(x, args...)`. This means that function-like behavior can be added to any type by defining new `call` methods.
"""
call

doc"""
    countfrom(start=1, step=1)

An iterator that counts forever, starting at `start` and incrementing by `step`.
"""
countfrom

doc"""
    eof(stream) -> Bool

Tests whether an I/O stream is at end-of-file. If the stream is not yet exhausted, this function will block to wait for more data if necessary, and then return `false`. Therefore it is always safe to read one byte after seeing `eof` return `false`. `eof` will return `false` as long as buffered data is still available, even if the remote end of a connection is closed.
"""
eof

doc"""
    mktempdir([parent=tempdir()])

Create a temporary directory in the `parent` directory and return its path.
"""
mktempdir()

doc"""
    mktempdir(f::Function, [parent=tempdir()])

Apply the function `f` to the result of `mktempdir(parent)` and remove the temporary directory upon completion.
"""
mktempdir(f::Function)

doc"""
    tril(M)

Lower triangle of a matrix.
"""
tril(M)

doc"""
    tril(M, k)

Returns the lower triangle of `M` starting from the `k`th superdiagonal.
"""
tril(M,k)

doc"""
    @edit

Evaluates the arguments to the function call, determines their types, and calls the `edit` function on the resulting expression.
"""
:@edit

doc"""
    subtypes(T::DataType)

Return a list of immediate subtypes of DataType `T`. Note that all currently loaded subtypes are included, including those not visible in the current module.
"""
subtypes

doc"""
    digits(n, [base], [pad])

Returns an array of the digits of `n` in the given base, optionally padded with zeros to a specified size. More significant digits are at higher indexes, such that `n == sum([digits[k]*base^(k-1) for k=1:length(digits)])`.
"""
digits

doc"""
    bytes2hex(bin_arr::Array{UInt8, 1})

Convert an array of bytes to its hexadecimal representation. All characters are in lower-case. Returns an `ASCIIString`.
"""
bytes2hex

doc"""
    unlock(l::ReentrantLock)

Releases ownership of the lock by the current task. If the lock had been acquired before, it just decrements an internal counter and returns immediately.
"""
unlock

doc"""
```rst
..  BigFloat(x)

Create an arbitrary precision floating point number. ``x`` may be
an ``Integer``, a ``Float64`` or a ``BigInt``. The
usual mathematical operators are defined for this type, and results
are promoted to a ``BigFloat``.

Note that because decimal literals are converted to floating point numbers
when parsed, ``BigFloat(2.1)`` may not yield what you expect. You may instead
prefer to initialize constants from strings via :func:`parse`, or using the
``big`` string literal.

.. doctest::

   julia> BigFloat(2.1)
   2.100000000000000088817841970012523233890533447265625000000000000000000000000000

   julia> big"2.1"
   2.099999999999999999999999999999999999999999999999999999999999999999999999999986
```
"""
BigFloat

doc"""
    xcorr(u,v)

Compute the cross-correlation of two vectors.
"""
xcorr

doc"""
    typeof(x)

Get the concrete type of `x`.
"""
typeof

doc"""
    drop(iter, n)

An iterator that generates all but the first `n` elements of `iter`.
"""
drop

doc"""
    acsc(x)

Compute the inverse cosecant of `x`, where the output is in radians
"""
acsc

doc"""
    log(x)

Compute the natural logarithm of `x`. Throws `DomainError` for negative `Real` arguments. Use complex negative arguments to obtain complex results.

There is an experimental variant in the `Base.Math.JuliaLibm` module, which is typically faster and more accurate.
"""
log(x)

doc"""
    log(b,x)

Compute the base `b` logarithm of `x`. Throws `DomainError` for negative `Real` arguments.
"""
log(b, x)

doc"""
```rst
..  trunc([T,] x, [digits, [base]])

``trunc(x)`` returns the nearest integral value of the same type as ``x`` whose absolute
value is less than or equal to ``x``.

``trunc(T, x)`` converts the result to type ``T``, throwing an
``InexactError`` if the value is not representable.

``digits`` and ``base`` work as for :func:`round`.
```
"""
trunc

doc"""
    @less

Evaluates the arguments to the function call, determines their types, and calls the `less` function on the resulting expression.
"""
:@less

doc"""
    broadcast_function(f)

Returns a function `broadcast_f` such that `broadcast_function(f)(As...) === broadcast(f, As...)`. Most useful in the form `const broadcast_f = broadcast_function(f)`.
"""
broadcast_function

doc"""
    unsafe_convert(T,x)

Convert `x` to a value of type `T`

In cases where `convert` would need to take a Julia object and turn it into a `Ptr`, this function should be used to define and perform that conversion.

Be careful to ensure that a Julia reference to `x` exists as long as the result of this function will be used. Accordingly, the argument `x` to this function should never be an expression, only a variable name or field reference. For example, `x=a.b.c` is acceptable, but `x=[a,b,c]` is not.

The `unsafe` prefix on this function indicates that using the result of this function after the `x` argument to this function is no longer accessible to the program may cause undefined behavior, including program corruption or segfaults, at any later time.
"""
unsafe_convert

doc"""
    warn(msg)

Display a warning. Argument `msg` is a string describing the warning to be displayed.
"""
warn

doc"""
    erfinv(x)

Compute the inverse error function of a real `x`,
defined by $\operatorname{erf}(\operatorname{erfinv}(x)) = x$.
"""
erfinv

doc"""
    @async

Like `@schedule`, `@async` wraps an expression in a `Task` and adds it to the local machine's scheduler queue. Additionally it adds the task to the set of items that the nearest enclosing `@sync` waits for. `@async` also wraps the expression in a `let x=x, y=y, ...` block to create a new scope with copies of all variables referenced in the expression.
"""
:@async

doc"""
    rotr90(A)

Rotate matrix `A` right 90 degrees.
"""
rotr90(A)

doc"""
    rotr90(A, k)

Rotate matrix `A` right 90 degrees an integer `k` number of times. If `k` is zero or a multiple of four, this is equivalent to a `copy`.
"""
rotr90(A, k)

doc"""
    readdir([dir]) -> Vector{ByteString}

Returns the files and directories in the directory `dir` (or the current working directory if not given).
"""
readdir

doc"""
    seek(s, pos)

Seek a stream to the given position.
"""
seek

doc"""
    acosd(x)

Compute the inverse cosine of `x`, where the output is in degrees
"""
acosd

doc"""
    triu(M)

Upper triangle of a matrix.
"""
triu(M)

doc"""
    triu(M, k)

Returns the upper triangle of `M` starting from the `k`th superdiagonal.
"""
triu(M, k)

doc"""
    instances(T::Type)

Return a collection of all instances of the given type, if applicable. Mostly used for enumerated types (see `@enum`).
"""
instances

doc"""
    besselj0(x)

Bessel function of the first kind of order 0, $J_0(x)$.
"""
besselj0

doc"""
    erfcinv(x)

Compute the inverse error complementary function of a real `x`,
defined by $\operatorname{erfc}(\operatorname{erfcinv}(x)) = x$.
"""
erfcinv

doc"""
    minabs(itr)

Compute the minimum absolute value of a collection of values.
"""
minabs(itr)

doc"""
    minabs(A, dims)

Compute the minimum absolute values over given dimensions.
"""
minabs(A, dims)

doc"""
    popdisplay()
    popdisplay(d::Display)

Pop the topmost backend off of the display-backend stack, or the topmost copy of `d` in the second variant.
"""
popdisplay

doc"""
    readdlm(source, delim::Char, T::Type, eol::Char; header=false, skipstart=0, skipblanks=true, use_mmap, ignore_invalid_chars=false, quotes=true, dims, comments=true, comment_char='#')

Read a matrix from the source where each line (separated by `eol`) gives one row, with elements separated by the given delimeter. The source can be a text file, stream or byte array. Memory mapped files can be used by passing the byte array representation of the mapped segment as source.

If `T` is a numeric type, the result is an array of that type, with any non-numeric elements as `NaN` for floating-point types, or zero. Other useful values of `T` include `ASCIIString`, `AbstractString`, and `Any`.

If `header` is `true`, the first row of data will be read as header and the tuple `(data_cells, header_cells)` is returned instead of only `data_cells`.

Specifying `skipstart` will ignore the corresponding number of initial lines from the input.

If `skipblanks` is `true`, blank lines in the input will be ignored.

If `use_mmap` is `true`, the file specified by `source` is memory mapped for potential speedups. Default is `true` except on Windows. On Windows, you may want to specify `true` if the file is large, and is only read once and not written to.

If `ignore_invalid_chars` is `true`, bytes in `source` with invalid character encoding will be ignored. Otherwise an error is thrown indicating the offending character position.

If `quotes` is `true`, column enclosed within double-quote (") characters are allowed to contain new lines and column delimiters. Double-quote characters within a quoted field must be escaped with another double-quote.  Specifying `dims` as a tuple of the expected rows and columns (including header, if any) may speed up reading of large files.  If `comments` is `true`, lines beginning with `comment_char` and text following `comment_char` in any line are ignored.
"""
readdlm(source, delim, T, eol)

doc"""
    readdlm(source, delim::Char, eol::Char; options...)

If all data is numeric, the result will be a numeric array. If some elements cannot be parsed as numbers, a cell array of numbers and strings is returned.
"""
readdlm(source, delim::Char, eol::Char)

doc"""
    readdlm(source, delim::Char, T::Type; options...)

The end of line delimiter is taken as `n`.
"""
readdlm(source, delim::Char, T::Type)

doc"""
    readdlm(source, delim::Char; options...)

The end of line delimiter is taken as `n`. If all data is numeric, the result will be a numeric array. If some elements cannot be parsed as numbers, a cell array of numbers and strings is returned.
"""
readdlm(source, delim::Char)

doc"""
    readdlm(source, T::Type; options...)

The columns are assumed to be separated by one or more whitespaces. The end of line delimiter is taken as `n`.
"""
readdlm(source, T::Type)

doc"""
    readdlm(source; options...)

The columns are assumed to be separated by one or more whitespaces. The end of line delimiter is taken as `n`. If all data is numeric, the result will be a numeric array. If some elements cannot be parsed as numbers, a cell array of numbers and strings is returned.
"""
readdlm(source)

doc"""
    filesize(path...)

Equivalent to `stat(file).size`
"""
filesize

doc"""
    sinc(x)

Compute $\sin(\pi x) / (\pi x)$ if $x \neq 0$, and $1$ if $x = 0$.
"""
sinc

doc"""
    utf16(s)

Create a UTF-16 string from a byte array, array of `UInt16`, or any other string type. (Data must be valid UTF-16. Conversions of byte arrays check for a byte-order marker in the first two bytes, and do not include it in the resulting string.)

Note that the resulting `UTF16String` data is terminated by the NUL codepoint (16-bit zero), which is not treated as a character in the string (so that it is mostly invisible in Julia); this allows the string to be passed directly to external functions requiring NUL-terminated data. This NUL is appended automatically by the `utf16(s)` conversion function. If you have a `UInt16` array `A` that is already NUL-terminated valid UTF-16 data, then you can instead use `UTF16String(A)` to construct the string without making a copy of the data and treating the NUL as a terminator rather than as part of the string.
"""
utf16(s)

doc"""
    utf16(::Union{Ptr{UInt16},Ptr{Int16}} [, length])

Create a string from the address of a NUL-terminated UTF-16 string. A copy is made; the pointer can be safely freed. If `length` is specified, the string does not have to be NUL-terminated.
"""
utf16(::Union{Ptr{UInt16},Ptr{Int16}}, length=?)

doc"""
    median(v[, region])

Compute the median of whole array `v`, or optionally along the dimensions in `region`. For even number of elements no exact median element exists, so the result is equivalent to calculating mean of two median elements. `NaN` is returned if the data contains any `NaN` values. For applications requiring the handling of missing data, the `DataArrays` package is recommended.
"""
median

doc"""
    cglobal((symbol, library) [, type=Void])

Obtain a pointer to a global variable in a C-exported shared library, specified exactly as in `ccall`. Returns a `Ptr{Type}`, defaulting to `Ptr{Void}` if no Type argument is supplied. The values can be read or written by `unsafe_load` or `unsafe_store!`, respectively.
"""
cglobal

doc"""
    one(x)

Get the multiplicative identity element for the type of `x` (`x` can also specify the type itself). For matrices, returns an identity matrix of the appropriate size and type.
"""
one

doc"""
    parseip(addr)

Parse a string specifying an IPv4 or IPv6 ip address.
"""
parseip

doc"""
    rationalize([Type=Int,] x; tol=eps(x))

Approximate floating point number `x` as a Rational number with components of the given integer type. The result will differ from `x` by no more than `tol`.
"""
rationalize

doc"""
    splice!(collection, index, [replacement]) -> item

Remove the item at the given index, and return the removed item. Subsequent items
are shifted down to fill the resulting gap. If specified, replacement values from
an ordered collection will be spliced in place of the removed item.

```jldoctest
julia> A = [6, 5, 4, 3, 2, 1]; splice!(A, 5)
2

julia> A
5-element Array{Int64,1}:
 6
 5
 4
 3
 1

julia> splice!(A, 5, -1)
1

julia> A
5-element Array{Int64,1}:
  6
  5
  4
  3
 -1

julia> splice!(A, 1, [-1, -2, -3])
6

julia> A
7-element Array{Int64,1}:
 -1
 -2
 -3
  5
  4
  3
 -1
```

To insert `replacement` before an index `n` without removing any items, use
`splice!(collection, n:n-1, replacement)`.
"""
splice!(collection, index, replacement = ?)

doc"""
    splice!(collection, range, [replacement]) -> items

Remove items in the specified index range, and return a collection containing the
removed items. Subsequent items are shifted down to fill the resulting gap.
If specified, replacement values from an ordered collection will be spliced in place
of the removed items.

To insert `replacement` before an index `n` without removing any items, use
`splice!(collection, n:n-1, replacement)`.

```jldoctest
julia> splice!(A, 4:3, 2)
0-element Array{Int64,1}

julia> A
8-element Array{Int64,1}:
 -1
 -2
 -3
  2
  5
  4
  3
 -1
```
"""
splice!(collection, range::Range, replacement)

doc"""
    endof(collection) -> Integer

Returns the last index of the collection.

```jldoctest
julia> endof([1,2,4])
3
```
"""
endof

doc"""
    isfifo(path) -> Bool

Returns `true` if `path` is a FIFO, `false` otherwise.
"""
isfifo

doc"""
    Channel{T}(sz::Int)

Constructs a `Channel` that can hold a maximum of `sz` objects of type `T`. `put!` calls on a full channel block till an object is removed with `take!`.

Other constructors:

- `Channel()` - equivalent to `Channel{Any}(32)`
- `Channel(sz::Int)` equivalent to `Channel{Any}(sz)`
"""
Channel

doc"""
    next(iter, state) -> item, state

For a given iterable object and iteration state, return the current item and the next iteration state
"""
next

doc"""
    unshift!(collection, items...) -> collection

Insert one or more `items` at the beginning of `collection`.

```jldoctest
  julia> unshift!([1, 2, 3, 4], 5, 6)
  6-element Array{Int64,1}:
   5
   6
   1
   2
   3
   4
```
"""
unshift!

doc"""
    log2(x)

Compute the logarithm of `x` to base 2. Throws `DomainError` for negative `Real` arguments.
"""
log2

doc"""
```rst
..  SymTridiagonal(d, du)

Construct a real symmetric tridiagonal matrix from the diagonal and upper diagonal, respectively. The result is of type ``SymTridiagonal`` and provides efficient specialized eigensolvers, but may be converted into a regular matrix with :func:`full`.
```
"""
SymTridiagonal

doc"""
    colon(start, [step], stop)

Called by `:` syntax for constructing ranges.
"""
colon

doc"""
    Base64EncodePipe(ostream)

Returns a new write-only I/O stream, which converts any bytes written to it into base64-encoded ASCII bytes written to `ostream`. Calling `close` on the `Base64Pipe` stream is necessary to complete the encoding (but does not close `ostream`).
"""
Base64EncodePipe

doc"""
    issetgid(path) -> Bool

Returns `true` if `path` has the setgid flag set, `false` otherwise.
"""
issetgid

doc"""
    isnull(x)

Is the `Nullable` object `x` null, i.e. missing a value?
"""
isnull

doc"""
    abs2(x)

Squared absolute value of `x`
"""
abs2

doc"""
    write(stream, x)

Write the canonical binary representation of a value to the given stream.
Returns the number of bytes written into the stream.

You can write multiple values with the same :func:`write` call.
i.e. the following are equivalent:

    write(stream, x, y...)
    write(stream, x) + write(stream, y...)
"""
write

doc"""
    sizehint!(s, n)

Suggest that collection `s` reserve capacity for at least `n` elements. This can improve performance.
"""
sizehint!

doc"""
    permute!(v, p)

Permute vector `v` in-place, according to permutation `p`. No checking is done to verify that `p` is a permutation.

To return a new permutation, use `v[p]`. Note that this is generally faster than `permute!(v,p)` for large vectors.
"""
permute!

doc"""
    ifelse(condition::Bool, x, y)

Return `x` if `condition` is `true`, otherwise return `y`. This differs from `?` or `if` in that it is an ordinary function, so all the arguments are evaluated first. In some cases, using `ifelse` instead of an `if` statement can eliminate the branch in generated code and provide higher performance in tight loops.
"""
ifelse

doc"""
    ispow2(n) -> Bool

Test whether `n` is a power of two
"""
ispow2

doc"""
    vcat(A...)

Concatenate along dimension 1
"""
vcat

doc"""
    isgraph(c::Union{Char,AbstractString}) -> Bool

Tests whether a character is printable, and not a space, or whether this is true for all elements of a string. Any character that would cause a printer to use ink should be classified with `isgraph(c)==true`.
"""
isgraph

doc"""
    OutOfMemoryError()

An operation allocated too much memory for either the system or the garbage collector to handle properly.
"""
OutOfMemoryError

doc"""
```rst
..  zip(iters...)

For a set of iterable objects, returns an iterable of tuples, where the ``i``\ th tuple contains the ``i``\ th component of each input iterable.

Note that :func:`zip` is its own inverse: ``collect(zip(zip(a...)...)) == collect(a)``.
```
"""
zip

doc"""
    SystemError(prefix::AbstractString, [errno::Int32])

A system call failed with an error code (in the `errno` global variable).
"""
SystemError

doc"""
    binomial(n,k)

Number of ways to choose `k` out of `n` items
"""
binomial

doc"""
    rot180(A)

Rotate matrix `A` 180 degrees.
"""
rot180(A)

doc"""
    rot180(A, k)

Rotate matrix `A` 180 degrees an integer `k` number of times. If `k` is even, this is equivalent to a `copy`.
"""
rot180(A, k)

doc"""
    .<=(x, y)
    .≤(x,y)

Element-wise less-than-or-equals comparison operator.
"""
Base.(:(.<=))

doc"""
    checkbounds(array, indexes...)

Throw an error if the specified indexes are not in bounds for the given array.
Subtypes of `AbstractArray` should specialize this method if they need to
provide custom bounds checking behaviors.
"""
checkbounds(array, indexes...)

doc"""
    checkbounds(::Type{Bool}, dimlength::Integer, index)

Return a `Bool` describing if the given index is within the bounds of the given
dimension length. Custom types that would like to behave as indices for all
arrays can extend this method in order to provide a specialized bounds checking
implementation.
"""
checkbounds(::Type{Bool}, ::Integer, index)

doc"""
    asec(x)

Compute the inverse secant of `x`, where the output is in radians
"""
asec

doc"""
    rank(M)

Compute the rank of a matrix.
"""
rank

doc"""
    max(x, y, ...)

Return the maximum of the arguments. Operates elementwise over arrays.
"""
max

doc"""
    versioninfo([verbose::Bool])

Print information about the version of Julia in use. If the `verbose` argument is `true`, detailed system information is shown as well.
"""
versioninfo

doc"""
    DimensionMismatch([msg])

The objects called do not have matching dimensionality.
Optional argument `msg` is a descriptive error string.
"""
DimensionMismatch

doc"""
    take!(RemoteRef)

Fetch the value of a remote reference, removing it so that the reference is empty again.
"""
take!(::RemoteRef)

doc"""
    take!(Channel)

Removes and returns a value from a `Channel`. Blocks till data is available.
"""
take!(::Channel)

doc"""
    sort!(v, [alg=<algorithm>,] [by=<transform>,] [lt=<comparison>,] [rev=false])

Sort the vector `v` in place. `QuickSort` is used by default for numeric arrays while `MergeSort` is used for other arrays. You can specify an algorithm to use via the `alg` keyword (see Sorting Algorithms for available algorithms). The `by` keyword lets you provide a function that will be applied to each element before comparison; the `lt` keyword allows providing a custom "less than" function; use `rev=true` to reverse the sorting order. These options are independent and can be used together in all possible combinations: if both `by` and `lt` are specified, the `lt` function is applied to the result of the `by` function; `rev=true` reverses whatever ordering specified via the `by` and `lt` keywords.
"""
sort!

doc"""
    kill(p::Process, signum=SIGTERM)

Send a signal to a process. The default is to terminate the process.
"""
kill(p::Process, signum=SIGTERM)

doc"""
    kill(manager::FooManager, pid::Int, config::WorkerConfig)

Implemented by cluster managers. It is called on the master process, by `rmprocs`. It should cause the remote worker specified by `pid` to exit. `Base.kill(manager::ClusterManager.....)` executes a remote `exit()` on `pid`
"""
kill(manager, pid::Int, config::WorkerConfig)

doc"""
```rst
..  logm(A)

If ``A`` has no negative real eigenvalue, compute the principal matrix logarithm of ``A``, i.e. the unique matrix :math:`X` such that :math:`e^X = A` and :math:`-\pi < Im(\lambda) < \pi` for all the eigenvalues :math:`\lambda` of :math:`X`. If ``A`` has nonpositive eigenvalues, a warning is printed and whenever possible a nonprincipal matrix function is returned.

If ``A`` is symmetric or Hermitian, its eigendecomposition (:func:`eigfact`) is used, if ``A`` is triangular an improved version of the inverse scaling and squaring method is employed (see [AH12]_ and [AHR13]_). For general matrices, the complex Schur form (:func:`schur`) is computed and the triangular algorithm is used on the triangular factor.

.. [AH12] Awad H. Al-Mohy and Nicholas J. Higham, "Improved inverse  scaling
   and squaring algorithms for the matrix logarithm", SIAM Journal on
   Scientific Computing, 34(4), 2012, C153-C169.
   `doi:10.1137/110852553 <http://dx.doi.org/10.1137/110852553>`_
.. [AHR13] Awad H. Al-Mohy, Nicholas J. Higham and Samuel D. Relton,
   "Computing the Fréchet derivative of the matrix logarithm and estimating
   the condition number", SIAM Journal on Scientific Computing, 35(4), 2013,
   C394-C410.
   `doi:10.1137/120885991 <http://dx.doi.org/10.1137/120885991>`_
```
"""
logm

doc"""
    sylvester(A, B, C)

Computes the solution `X` to the Sylvester equation `AX + XB + C = 0`, where `A`, `B` and `C` have compatible dimensions and `A` and `-B` have no eigenvalues with equal real part.
"""
sylvester

doc"""
    broadcast!(f, dest, As...)

Like `broadcast`, but store the result of `broadcast(f, As...)` in the `dest` array. Note that `dest` is only used to store the result, and does not supply arguments to `f` unless it is also listed in the `As`, as in `broadcast!(f, A, A, B)` to perform `A[:] = broadcast(f, A, B)`.
"""
broadcast!

doc"""
    cross(x, y)
    ×(x,y)

Compute the cross product of two 3-vectors.
"""
cross

doc"""
    strides(A)

Returns a tuple of the memory strides in each dimension
"""
strides

doc"""
    keys(collection)

Return an iterator over all keys in a collection. `collect(keys(d))` returns an array of keys.
"""
keys

doc"""
    repeat(A, inner = Int[], outer = Int[])

Construct an array by repeating the entries of `A`. The i-th element of `inner` specifies the number of times that the individual entries of the i-th dimension of `A` should be repeated. The i-th element of `outer` specifies the number of times that a slice along the i-th dimension of `A` should be repeated.
"""
repeat

doc"""
    scale(A, b)
    scale(b, A)

Scale an array `A` by a scalar `b`, returning a new array.

If `A` is a matrix and `b` is a vector, then `scale(A,b)` scales each column `i` of `A` by `b[i]` (similar to `A*diagm(b)`), while `scale(b,A)` scales each row `i` of `A` by `b[i]` (similar to `diagm(b)*A`), returning a new array.

Note: for large `A`, `scale` can be much faster than `A .* b` or `b .* A`, due to the use of BLAS.
"""
scale

doc"""
    ReentrantLock()

Creates a reentrant lock. The same task can acquire the lock as many times as required. Each lock must be matched with an unlock.
"""
ReentrantLock

doc"""
    real(z)

Return the real part of the complex number `z`
"""
real

doc"""
    gperm(file)

Like uperm but gets the permissions of the group owning the file
"""
gperm

doc"""
    nb_available(stream)

Returns the number of bytes available for reading before a read from this stream or buffer will block.
"""
nb_available

doc"""
    finalize(x)

Immediately run finalizers registered for object `x`.
"""
finalize

doc"""
    rand([rng], [S], [dims...])

Pick a random element or array of random elements from the set of values specified by `S`; `S` can be

* an indexable collection (for example `1:n` or `['x','y','z']`), or
* a type: the set of values to pick from is then equivalent to
`typemin(S):typemax(S)` for integers (this is not applicable to `BigInt`),
and to $[0, 1)$ for floating point numbers;

`S` defaults to `Float64`.
"""
rand

doc"""
    bitpack(A::AbstractArray{T,N}) -> BitArray

Converts a numeric array to a packed boolean array
"""
bitpack

doc"""
    base(base, n, [pad])

Convert an integer to a string in the given base, optionally specifying a number of digits to pad to. The base can be specified as either an integer, or as a `UInt8` array of character values to use as digit symbols.
"""
base

doc"""
    Timer(callback::Function, delay, repeat=0)

Create a timer to call the given `callback` function. The `callback` is passed one argument, the timer object itself. The callback will be invoked after the specified initial `delay`, and then repeating with the given `repeat` interval. If `repeat` is `0`, the timer is only triggered once. Times are in seconds. A timer is stopped and has its resources freed by calling `close` on it.
"""
Timer(::Function,delay,repeat=0)

doc"""
    Timer(delay, repeat=0)

Create a timer that wakes up tasks waiting for it (by calling `wait` on the timer object) at a specified interval.  Times are in seconds.  Waiting tasks are woken with an error when the timer is closed (by `close`). Use `isopen` to check whether a timer is still active.
"""
Timer(delay, repeat=0)

doc"""
    BoundsError([a],[i])

An indexing operation into an array, `a`, tried to access an out-of-bounds element, `i`.
"""
BoundsError

doc"""
    disable_sigint(f::Function)

Disable Ctrl-C handler during execution of a function, for calling external code that is not interrupt safe. Intended to be called using `do` block syntax as follows:

    disable_sigint() do
        # interrupt-unsafe code
        ...
    end
"""
disable_sigint

doc"""
```rst
..  svdfact!(A, [thin=true]) -> SVD

``svdfact!`` is the same as :func:`svdfact`, but saves space by overwriting the input ``A``, instead of creating a copy. If ``thin`` is ``true``, an economy mode decomposition is returned. The default is to produce a thin decomposition.
```
"""
svdfact!

doc"""
    hist2d(M, e1, e2) -> (edge1, edge2, counts)

Compute a "2d histogram" of a set of N points specified by N-by-2 matrix `M`. Arguments `e1` and `e2` are bins for each dimension, specified either as integer bin counts or vectors of bin edges. The result is a tuple of `edge1` (the bin edges used in the first dimension), `edge2` (the bin edges used in the second dimension), and `counts`, a histogram matrix of size `(length(edge1)-1, length(edge2)-1)`. Note: Julia does not ignore `NaN` values in the computation.
"""
hist2d

doc"""
    which(f, types)

Returns the method of `f` (a `Method` object) that would be called for arguments of the given `types`.

If `types` is an abstract type, then the method that would be called by `invoke` is returned.
"""
which(f, types)

doc"""
    which(symbol)

Return the module in which the binding for the variable referenced by `symbol` was created.
"""
which(symbol)

doc"""
    conv2(u,v,A)

2-D convolution of the matrix `A` with the 2-D separable kernel generated by the vectors `u` and `v`. Uses 2-D FFT algorithm
"""
conv2(u, v, A)

doc"""
    conv2(B,A)

2-D convolution of the matrix `B` with the matrix `A`. Uses 2-D FFT algorithm
"""
conv2(B, A)

doc"""
    broadcast_getindex(A, inds...)

Broadcasts the `inds` arrays to a common size like `broadcast`, and returns an array of the results `A[ks...]`, where `ks` goes over the positions in the broadcast.
"""
broadcast_getindex

doc"""
    findn(A)

Return a vector of indexes for each dimension giving the locations of the non-zeros in `A` (determined by `A[i]!=0`).
"""
findn

doc"""
    invoke(f, (types...), args...)

Invoke a method for the given generic function matching the specified types (as a tuple), on the specified arguments. The arguments must be compatible with the specified types. This allows invoking a method other than the most specific matching method, which is useful when the behavior of a more general definition is explicitly needed (often as part of the implementation of a more specific method of the same function).
"""
invoke

doc"""
    parse(str, start; greedy=true, raise=true)

Parse the expression string and return an expression (which could later be passed to eval for execution). `start` is the index of the first character to start parsing. If `greedy` is `true` (default), `parse` will try to consume as much input as it can; otherwise, it will stop as soon as it has parsed a valid expression. Incomplete but otherwise syntactically valid expressions will return `Expr(:incomplete, "(error message)")`. If `raise` is `true` (default), syntax errors other than incomplete expressions will raise an error. If `raise` is `false`, `parse` will return an expression that will raise an error upon evaluation.
"""
parse(str, start)

doc"""
    parse(str; raise=true)

Parse the expression string greedily, returning a single expression. An error is thrown if there are additional characters after the first expression. If `raise` is `true` (default), syntax errors will raise an error; otherwise, `parse` will return an expression that will raise an error upon evaluation.
"""
parse(str)

doc"""
    parse(type, str, [base])

Parse a string as a number. If the type is an integer type, then a base can be specified (the default is 10). If the type is a floating point type, the string is parsed as a decimal floating point number. If the string does not contain a valid number, an error is raised.
"""
parse(T::Type, str, base=Int)

doc"""
    touch(path::AbstractString)

Update the last-modified timestamp on a file to the current time.
"""
touch

doc"""
```rst
..  bkfact!(A) -> BunchKaufman

``bkfact!`` is the same as :func:`bkfact`, but saves space by overwriting the input ``A``, instead of creating a copy.
```
"""
bkfact!

doc"""
    ^(x, y)

Exponentiation operator.
"""
Base.(:(^))(x, y)

doc"""
    ^(s, n)

Repeat `n` times the string `s`. The `repeat` function is an alias to this operator.

```jldoctest
julia> "Test "^3
"Test Test Test "
```
"""
Base.(:(^))(s::AbstractString, n::Int)

doc"""
    position(s)

Get the current position of a stream.
"""
position

doc"""
    selectperm(v, k, [alg=<algorithm>,] [by=<transform>,] [lt=<comparison>,] [rev=false])

Return a partial permutation of the vector `v`, according to the order specified by `by`, `lt` and `rev`, so that `v[output]` returns the first `k` (or range of adjacent values if `k` is a range) values of a fully sorted version of `v`. If `k` is a single index (Integer), an array of the first `k` indices is returned; if `k` is a range, an array of those indices is returned. Note that the handling of integer values for `k` is different from `select` in that it returns a vector of `k` elements instead of just the `k` th element. Also note that this is equivalent to, but more efficient than, calling `sortperm(...)[k]`
"""
selectperm

doc"""
    isabspath(path::AbstractString) -> Bool

Determines whether a path is absolute (begins at the root directory).
"""
isabspath

doc"""
    hex2bytes(s::ASCIIString)

Convert an arbitrarily long hexadecimal string to its binary representation. Returns an `Array{UInt8,1}`, i.e. an array of bytes.
"""
hex2bytes

doc"""
    isdir(path) -> Bool

Returns `true` if `path` is a directory, `false` otherwise.
"""
isdir

doc"""
    reinterpret(type, A)

Change the type-interpretation of a block of memory. For example, `reinterpret(Float32, UInt32(7))` interprets the 4 bytes corresponding to `UInt32(7)` as a `Float32`. For arrays, this constructs an array with the same binary data as the given array, but with the specified element type.
"""
reinterpret

doc"""
    squeeze(A, dims)

Remove the dimensions specified by `dims` from array `A`. Elements of `dims` must be unique and within the range `1:ndims(A)`.
"""
squeeze

doc"""
    ~(x)

Bitwise not
"""
~

doc"""
    hankelh1(nu, x)

Bessel function of the third kind of order `nu`, $H^{(1)}_\nu(x)$.
"""
hankelh1

doc"""
```rst
..  hessfact(A)

Compute the Hessenberg decomposition of ``A`` and return a ``Hessenberg`` object. If ``F`` is the factorization object, the unitary matrix can be accessed with ``F[:Q]`` and the Hessenberg matrix with ``F[:H]``. When ``Q`` is extracted, the resulting type is the ``HessenbergQ`` object, and may be converted to a regular matrix with :func:`full`.
```
"""
hessfact

doc"""
```rst
..  gcdx(x,y)

Computes the greatest common (positive) divisor of ``x`` and ``y`` and their Bézout coefficients, i.e. the integer coefficients ``u`` and ``v`` that satisfy :math:`ux+vy = d = gcd(x,y)`.

.. doctest::

   julia> gcdx(12, 42)
   (6,-3,1)

.. doctest::

   julia> gcdx(240, 46)
   (2,-9,47)

.. note::

   Bézout coefficients are *not* uniquely defined. ``gcdx`` returns the minimal Bézout coefficients that are computed by the extended Euclid algorithm. (Ref: D. Knuth, TAoCP, 2/e, p. 325, Algorithm X.) These coefficients ``u`` and ``v`` are minimal in the sense that :math:`|u| < |\frac y d` and :math:`|v| < |\frac x d`. Furthermore, the signs of ``u`` and ``v`` are chosen so that ``d`` is positive.
```
"""
gcdx

doc"""
    rem(x, y)
    %(x, y)

Remainder from Euclidean division, returning a value of the same sign as `x`, and smaller in magnitude than `y`. This value is always exact.
"""
rem

doc"""
    rotl90(A)

Rotate matrix `A` left 90 degrees.
"""
rotl90(A)

doc"""
    rotl90(A, k)

Rotate matrix `A` left 90 degrees an integer `k` number of times. If `k` is zero or a multiple of four, this is equivalent to a `copy`.
"""
rotl90(A, k)

doc"""
    info(msg)

Display an informational message.
Argument `msg` is a string describing the information to be displayed.
"""
info

doc"""
    eigmin(A)

Returns the smallest eigenvalue of `A`.
"""
eigmin

doc"""
    acscd(x)

Compute the inverse cosecant of `x`, where the output is in degrees
"""
acscd

doc"""
    ltoh(x)

Converts the endianness of a value from Little-endian to that used by the Host.
"""
ltoh

doc"""
    evalfile(path::AbstractString)

Load the file using `include`, evaluate all expressions, and return the value of the last one.
"""
evalfile

doc"""
    success(command)

Run a command object, constructed with backticks, and tell whether it was successful (exited with a code of 0). An exception is raised if the process cannot be started.
"""
success

doc"""
```rst
..  sortperm!(ix, v, [alg=<algorithm>,] [by=<transform>,] [lt=<comparison>,] [rev=false,] [initialized=false])

Like ``sortperm``, but accepts a preallocated index vector ``ix``.  If ``initialized`` is ``false``
(the default), ix is initialized to contain the values ``1:length(v)``.

See also :func:`sortperm`
```
"""
sortperm!

doc"""
    isodd(x::Integer) -> Bool

Returns `true` if `x` is odd (that is, not divisible by 2), and `false` otherwise.

```jldoctest
julia> isodd(9)
true

julia> isodd(10)
false
```
"""
isodd

doc"""
    normalize_string(s, normalform::Symbol)

Normalize the string `s` according to one of the four "normal
forms" of the Unicode standard: `normalform` can be `:NFC`,
`:NFD`, `:NFKC`, or `:NFKD`.  Normal forms C (canonical
composition) and D (canonical decomposition) convert different
visually identical representations of the same abstract string into
a single canonical form, with form C being more compact.  Normal
forms KC and KD additionally canonicalize "compatibility
equivalents": they convert characters that are abstractly similar
but visually distinct into a single canonical choice (e.g. they expand
ligatures into the individual characters), with form KC being more compact.

Alternatively, finer control and additional transformations may be
be obtained by calling `normalize_string(s; keywords...)`, where
any number of the following boolean keywords options (which all default
to `false` except for `compose`) are specified:

* `compose=false`: do not perform canonical composition
* `decompose=true`: do canonical decomposition instead of canonical composition (`compose=true` is ignored if present)
* `compat=true`: compatibility equivalents are canonicalized
* `casefold=true`: perform Unicode case folding, e.g. for case-insensitive string comparison
* `newline2lf=true`, `newline2ls=true`, or `newline2ps=true`: convert various newline sequences (LF, CRLF, CR, NEL) into a linefeed (LF), line-separation (LS), or paragraph-separation (PS) character, respectively
* `stripmark=true`: strip diacritical marks (e.g. accents)
* `stripignore=true`: strip Unicode's "default ignorable" characters (e.g. the soft hyphen or the left-to-right marker)
* `stripcc=true`: strip control characters; horizontal tabs and form feeds are converted to spaces; newlines are also converted to spaces unless a newline-conversion flag was specified
* `rejectna=true`: throw an error if unassigned code points are found
* `stable=true`: enforce Unicode Versioning Stability

For example, NFKC corresponds to the options `compose=true, compat=true, stable=true`.
"""
normalize_string

doc"""
    cd([dir::AbstractString=homedir()])

Set the current working directory.
"""
cd(dir::AbstractString)

doc"""
    cd(f, [dir=homedir()])

Temporarily changes the current working directory and applies function `f` before returning.
"""
cd(f, dir=?)

doc"""
    hton(x)

Converts the endianness of a value from that used by the Host to Network byte order (big-endian).
"""
hton

doc"""
    is(x, y) -> Bool
    ===(x,y) -> Bool
    ≡(x,y) -> Bool

Determine whether `x` and `y` are identical, in the sense that no program could distinguish them. Compares mutable objects by address in memory, and compares immutable objects (such as numbers) by contents at the bit level. This function is sometimes called `egal`.
"""
is(x,y)

doc"""
```rst
..  mark(s)

Add a mark at the current position of stream ``s``.  Returns the marked position.

See also :func:`unmark`, :func:`reset`, :func:`ismarked`
```
"""
mark

doc"""
    cp(src::AbstractString, dst::AbstractString; remove_destination::Bool=false, follow_symlinks::Bool=false)

Copy the file, link, or directory from *src* to *dest*. `remove_destination=true` will first remove an existing `dst`.

If `follow_symlinks=false`, and `src` is a symbolic link, `dst` will be created as a symbolic link. If `follow_symlinks=true` and `src` is a symbolic link, `dst` will be a copy of the file or directory `src` refers to.
"""
cp

doc"""
    bswap(n)

Byte-swap an integer
"""
bswap

doc"""
```rst
.. manage(manager::FooManager, pid::Int, config::WorkerConfig. op::Symbol)

Implemented by cluster managers. It is called on the master process, during a worker's lifetime,
with appropriate ``op`` values:

- with ``:register``/``:deregister`` when a worker is added / removed
  from the Julia worker pool.
- with ``:interrupt`` when ``interrupt(workers)`` is called. The
  :class:`ClusterManager` should signal the appropriate worker with an
  interrupt signal.
- with ``:finalize`` for cleanup purposes.
```
"""
manage

doc"""
    resize!(collection, n) -> collection

Resize `collection` to contain `n` elements.
If `n` is smaller than the current collection length, the first `n`
elements will be retained. If `n` is larger, the new elements are not
guaranteed to be initialized.

```jldoctest
julia> resize!([6, 5, 4, 3, 2, 1], 3)
3-element Array{Int64,1}:
 6
 5
 4
```

```jl
julia> resize!([6, 5, 4, 3, 2, 1], 8)
8-element Array{Int64,1}:
 6
 5
 4
 3
 2
 1
 0
 0
```
"""
resize!

doc"""
    sumabs2!(r, A)

Sum squared absolute values of elements of `A` over the singleton dimensions of `r`, and write results to `r`.
"""
sumabs2!

doc"""
    IPv4(host::Integer) -> IPv4

Returns IPv4 object from ip address formatted as Integer
"""
IPv4

doc"""
    trailing_zeros(x::Integer) -> Integer

Number of zeros trailing the binary representation of `x`.

```jldoctest
julia> trailing_zeros(2)
1
```
"""
trailing_zeros

doc"""
    isalnum(c::Union{Char,AbstractString}) -> Bool

Tests whether a character is alphanumeric, or whether this is true for all elements of a string. A character is classified as alphabetic if it belongs to the Unicode general category Letter or Number, i.e. a character whose category code begins with 'L' or 'N'.
"""
isalnum

doc"""
    @sprintf("%Fmt", args...)

Return `@printf` formatted output as string.

    julia> s = @sprintf "this is a %s %15.1f" "test" 34.567;

    julia> println(s)
    this is a test            34.6
"""
:@sprintf

doc"""
    tanh(x)

Compute hyperbolic tangent of `x`
"""
tanh

doc"""
    repr(x)

Create a string from any value using the `showall` function.
"""
repr

doc"""
    maxintfloat(T)

The largest integer losslessly representable by the given floating-point DataType `T`.
"""
maxintfloat

doc"""
    promote_shape(s1, s2)

Check two array shapes for compatibility, allowing trailing singleton dimensions, and return whichever shape has more dimensions.
"""
promote_shape

doc"""
    methodswith(typ[, module or function][, showparents])

Return an array of methods with an argument of type `typ`. If optional `showparents` is `true`, also return arguments with a parent type of `typ`, excluding type `Any`.

The optional second argument restricts the search to a particular module or function.
"""
methodswith

doc"""
```rst
..  foldr(op, v0, itr)

Like :func:`reduce`, but with guaranteed right associativity. ``v0``
will be used exactly once.
```
"""
foldr(op, v0, itr)

doc"""
```rst
..  foldr(op, itr)

Like ``foldr(op, v0, itr)``, but using the last element of ``itr``
as ``v0``. In general, this cannot be used with empty collections
(see ``reduce(op, itr)``).
```
"""
foldr(op, itr)

doc"""
    chol(A, [LU]) -> F

Compute the Cholesky factorization of a symmetric positive definite matrix `A` and return the matrix `F`. If `LU` is `Val{:U}` (Upper), `F` is of type `UpperTriangular` and `A = F'*F`. If `LU` is `Val{:L}` (Lower), `F` is of type `LowerTriangular` and `A = F*F'`. `LU` defaults to `Val{:U}`.
"""
chol

doc"""
    ParseError(msg)

The expression passed to the `parse` function could not be interpreted as a valid Julia expression.
"""
ParseError

doc"""
    delete!(collection, key)

Delete the mapping for the given key in a collection, and return the collection.
"""
delete!

doc"""
    interrupt([pids...])

Interrupt the current executing task on the specified workers. This is equivalent to pressing Ctrl-C on the local machine. If no arguments are given, all workers are interrupted.
"""
interrupt

doc"""
    std(v[, region])

Compute the sample standard deviation of a vector or array `v`, optionally along dimensions in `region`. The algorithm returns an estimator of the generative distribution's standard deviation under the assumption that each entry of `v` is an IID drawn from that generative distribution. This computation is equivalent to calculating `sqrt(sum((v - mean(v)).^2) / (length(v) - 1))`. Note: Julia does not ignore `NaN` values in the computation. For applications requiring the handling of missing data, the `DataArray` package is recommended.
"""
std

doc"""
    chr2ind(string, i)

Convert a character index to a byte index.
"""
chr2ind

doc"""
    fullname(m::Module)

Get the fully-qualified name of a module as a tuple of symbols. For example, `fullname(Base.Pkg)` gives `(:Base,:Pkg)`, and `fullname(Main)` gives `()`.
"""
fullname

doc"""
    isreadable(path) -> Bool

Returns `true` if the current user has permission to read `path`, `false` otherwise.
"""
isreadable

doc"""
    eps(T)

The distance between 1.0 and the next larger representable floating-point value of `DataType` `T`. Only floating-point types are sensible arguments.
"""
eps(::Union{Type{BigFloat},Type{Float64},Type{Float32},Type{Float16}})

doc"""
    eps()

The distance between 1.0 and the next larger representable floating-point value of `Float64`.
"""
eps()

doc"""
    eps(x)

The distance between `x` and the next larger representable floating-point value of the same `DataType` as `x`.
"""
eps(::AbstractFloat)

doc"""
    rem1(x,m)

Remainder after division, returning in the range (0,m\]
"""
rem1

doc"""
    isalpha(c::Union{Char,AbstractString}) -> Bool

Tests whether a character is alphabetic, or whether this is true for all elements of a string. A character is classified as alphabetic if it belongs to the Unicode general category Letter, i.e. a character whose category code begins with 'L'.
"""
isalpha

doc"""
    lock(l::ReentrantLock)

Associates `l` with the current task. If `l` is already locked by a different task, waits for it to become available. The same task can acquire the lock multiple times. Each "lock" must be matched by an "unlock"
"""
lock

doc"""
    transpose(A)

The transposition operator (`.'`).
"""
transpose

doc"""
    searchsortedfirst(a, x, [by=<transform>,] [lt=<comparison>,] [rev=false])

Returns the index of the first value in `a` greater than or equal to `x`, according to the specified order. Returns `length(a)+1` if `x` is greater than all values in `a`.
"""
searchsortedfirst

doc"""
    big(x)

Convert a number to a maximum precision representation (typically `BigInt` or `BigFloat`). See `BigFloat` for information about some pitfalls with floating-point numbers.
"""
big

doc"""
    names(x::Module[, all=false[, imported=false]])

Get an array of the names exported by a `Module`, with optionally more `Module` globals according to the additional parameters.
"""
names

doc"""
```rst
..  quit()

Quit the program indicating that the processes completed successfully. This function calls ``exit(0)`` (see :func:`exit`).
```
"""
quit

doc"""
    init_worker(manager::FooManager)

Called by cluster managers implementing custom transports. It initializes a newly launched process as a worker. Command line argument `--worker` has the effect of initializing a process as a worker using TCP/IP sockets for transport.
"""
init_worker

doc"""
    print_escaped(io, str::AbstractString, esc::AbstractString)

General escaping of traditional C and Unicode escape sequences, plus any characters in esc are also escaped (with a backslash).
"""
print_escaped

doc"""
    typejoin(T, S)

Compute a type that contains both `T` and `S`.
"""
typejoin

doc"""
    summary(x)

Return a string giving a brief description of a value. By default returns `string(typeof(x))`. For arrays, returns strings like "2x2 Float64 Array".
"""
summary

doc"""
    Base64DecodePipe(istream)

Returns a new read-only I/O stream, which decodes base64-encoded data read from `istream`.
"""
Base64DecodePipe

doc"""
    module_parent(m::Module) -> Module

Get a module's enclosing `Module`. `Main` is its own parent, as is `LastMain` after `workspace()`.
"""
module_parent

doc"""
    airyaiprime(x)

Airy function derivative $\operatorname{Ai}'(x)$.
"""
airyaiprime

doc"""
    besselh(nu, k, x)

Bessel function of the third kind of order `nu` (Hankel function). `k` is either 1 or 2, selecting `hankelh1` or `hankelh2`, respectively.
"""
besselh

doc"""
    prepend!(collection, items) -> collection

Insert the elements of `items` to the beginning of `collection`.

```jldoctest
julia> prepend!([3],[1,2])
3-element Array{Int64,1}:
 1
 2
 3
```
"""
prepend!

doc"""
    sum_kbn(A)

Returns the sum of all array elements, using the Kahan-Babuska-Neumaier compensated summation algorithm for additional accuracy.
"""
sum_kbn

doc"""
    beta(x, y)

Euler integral of the first kind $\operatorname{B}(x,y) = \Gamma(x)\Gamma(y)/\Gamma(x+y)$.
"""
beta

doc"""
    eye(n)

`n`-by-`n` identity matrix
"""
eye(n::Int)

doc"""
    eye(m, n)

`m`-by-`n` identity matrix
"""
eye(m, n)

doc"""
    eye(A)

Constructs an identity matrix of the same dimensions and type as `A`.
"""
eye(A)

doc"""
    diagind(M[, k])

A `Range` giving the indices of the `k`th diagonal of the matrix `M`.
"""
diagind

doc"""
    include_string(code::AbstractString, [filename])

Like `include`, except reads code from the given string rather than from a file. Since there is no file path involved, no path processing or fetching from node 1 is done.
"""
include_string

doc"""
    chmod(path, mode)

Change the permissions mode of `path` to `mode`. Only integer `mode`s (e.g. 0o777) are currently supported.
"""
chmod

doc"""
    gamma(x)

Compute the gamma function of `x`
"""
gamma

doc"""
    sin(x)

Compute sine of `x`, where `x` is in radians
"""
sin

doc"""
```rst
..  ordschur!(Q, T, select) -> Schur

Reorders the Schur factorization of a real matrix ``A=Q*T*Q'``, overwriting ``Q`` and ``T`` in the process. See :func:`ordschur`
```
"""
ordschur!(Q,T,select)

doc"""
```rst
..  ordschur!(S, select) -> Schur

Reorders the Schur factorization ``S`` of type ``Schur``, overwriting ``S`` in the process. See :func:`ordschur`
```
"""
ordschur!(S,select)

doc"""
```rst
..  ordschur!(S, T, Q, Z, select) -> GeneralizedSchur

Reorders the Generalized Schur factorization of a matrix by overwriting the matrices ``(S, T, Q, Z)`` in the process.  See :func:`ordschur`.
```
"""
ordschur!(S,T,Q,Z,select)

doc"""
```rst
..  ordschur!(GS, select) -> GeneralizedSchur

Reorders the Generalized Schur factorization of a Generalized Schur object by overwriting the object with the new factorization.  See :func:`ordschur`.
```
"""
ordschur!(::LinAlg.GeneralizedSchur,select)

doc"""
```rst
..  Base.compilecache(module::ByteString)

Creates a precompiled cache file for module (see help for ``require``) and all of its dependencies. This can be used to reduce package load times. Cache files are stored in ``LOAD_CACHE_PATH[1]``, which defaults to ``~/.julia/lib/VERSION``. See :ref:`Module initialization and precompilation <man-modules-initialization-precompilation>` for important notes.
```
"""
compilecache

doc"""
    clipboard() -> AbstractString

Return a string with the contents of the operating system clipboard ("paste").
"""
clipboard

doc"""
    clipboard(x)

Send a printed form of `x` to the operating system clipboard ("copy").
"""
clipboard(x)

doc"""
    code_lowered(f, types)

Returns an array of lowered ASTs for the methods matching the given generic function and type signature.
"""
code_lowered

doc"""
    nthperm(v, k)

Compute the kth lexicographic permutation of a vector.
"""
nthperm(v,k)

doc"""
    nthperm(p)

Return the `k` that generated permutation `p`. Note that `nthperm(nthperm([1:n], k)) == k` for `1 <= k <= factorial(n)`.
"""
nthperm(p)

doc"""
    values(collection)

Return an iterator over all values in a collection. `collect(values(d))` returns an array of values.
"""
values

doc"""
    A_mul_B!(Y, A, B) -> Y

Calculates the matrix-matrix or matrix-vector product $A⋅B$ and stores the
result in `Y`, overwriting the existing value of `Y`. Note that `Y` must not
be aliased with either `A` or `B`.

```jldoctest
julia> A=[1.0 2.0; 3.0 4.0]; B=[1.0 1.0; 1.0 1.0]; Y = similar(B); A_mul_B!(Y, A, B);

julia> Y
2x2 Array{Float64,2}:
 3.0  3.0
 7.0  7.0
```
"""
A_mul_B!

doc"""
    ntuple(f::Function, n)

Create a tuple of length `n`, computing each element as `f(i)`, where `i` is the index of the element.
"""
ntuple

doc"""
    Ac_rdiv_Bc(A, B)

For matrices or vectors $A$ and $B$, calculates $Aᴴ / Bᴴ$

"""
Ac_rdiv_Bc

doc"""
    selectperm!(ix, v, k, [alg=<algorithm>,] [by=<transform>,] [lt=<comparison>,] [rev=false,] [initialized=false])

Like `selectperm`, but accepts a preallocated index vector `ix`. If `initialized` is `false` (the default), ix is initialized to contain the values `1:length(ix)`.
"""
selectperm!

doc"""
    istaskdone(task) -> Bool

Tell whether a task has exited.
"""
istaskdone

doc"""
    .>(x, y)

Element-wise greater-than comparison operator.
"""
Base.(:(.>))

doc"""
    search(string, chars, [start])

Search for the first occurrence of the given characters within the given string. The second argument may be a single character, a vector or a set of characters, a string, or a regular expression (though regular expressions are only allowed on contiguous strings, such as ASCII or UTF-8 strings). The third argument optionally specifies a starting index. The return value is a range of indexes where the matching sequence is found, such that `s[search(s,x)] == x`:

`search(string, "substring")` = `start:end` such that `string[start:end] == "substring"`, or `0:-1` if unmatched.

`search(string, 'c')` = `index` such that `string[index] == 'c'`, or `0` if unmatched.
"""
search

doc"""
    remotecall_fetch(id, func, args...)

Perform `fetch(remotecall(...))` in one message. Any remote exceptions are captured in a `RemoteException` and thrown.
"""
remotecall_fetch

doc"""
    contains(haystack, needle)

Determine whether the second argument is a substring of the first.
"""
contains

doc"""
    flush(stream)

Commit all currently buffered writes to the given stream.
"""
flush

doc"""
    detach(command)

Mark a command object so that it will be run in a new process group, allowing it to outlive the julia process, and not have Ctrl-C interrupts passed to it.
"""
detach

doc"""
    precompile(f,args::Tuple{Vararg{Any}})

Compile the given function `f` for the argument tuple (of types) `args`, but do not execute it.
"""
precompile

doc"""
```rst
..  toc()

Print and return the time elapsed since the last :func:`tic`.
```
"""
toc

doc"""
    asinh(x)

Compute the inverse hyperbolic sine of `x`
"""
asinh

doc"""
    count(p, itr) -> Integer

Count the number of elements in `itr` for which predicate `p` returns `true`.
"""
count

doc"""
    atreplinit(f)

Register a one-argument function to be called before the REPL interface is initialized in interactive sessions; this is useful to customize the interface. The argument of `f` is the REPL object. This function should be called from within the `.juliarc.jl` initialization file.
"""
atreplinit

doc"""
    strip(string, [chars])

Return `string` with any leading and trailing whitespace removed. If `chars` (a character, or vector or set of characters) is provided, instead remove characters contained in it.
"""
strip

doc"""
    findin(a, b)

Returns the indices of elements in collection `a` that appear in collection `b`
"""
findin

doc"""
    minimum(itr)

Returns the smallest element in a collection.
"""
minimum(itr)

doc"""
    minimum(A, dims)

Compute the minimum value of an array over the given dimensions.
"""
minimum(A,dims)

doc"""
    var(v[, region])

Compute the sample variance of a vector or array `v`, optionally along dimensions in `region`. The algorithm will return an estimator of the generative distribution's variance under the assumption that each entry of `v` is an IID drawn from that generative distribution. This computation is equivalent to calculating `sumabs2(v - mean(v)) / (length(v) - 1)`. Note: Julia does not ignore `NaN` values in the computation. For applications requiring the handling of missing data, the `DataArray` package is recommended.
"""
var

doc"""
    lcfirst(string)

Returns `string` with the first character converted to lowercase.
"""
lcfirst

doc"""
```rst
..  @code_native

Evaluates the arguments to the function call, determines their types, and calls :func:`code_native` on the resulting expression.
```
"""
:@code_native

doc"""
```rst
..  flipbits!(B::BitArray{N}) -> BitArray{N}

Performs a bitwise not operation on ``B``. See :ref:`~ operator <~>`.
```
"""
flipbits!

doc"""
    readlink(path) -> AbstractString

Returns the value of a symbolic link `path`.
"""
readlink

doc"""
```rst
..  @code_warntype

Evaluates the arguments to the function call, determines their types, and calls :func:`code_warntype` on the resulting expression.
```
"""
:@code_warntype

doc"""
    deg2rad(x)

Convert `x` from degrees to radians
"""
deg2rad

doc"""
    redirect_stdin([stream])

Like redirect\_stdout, but for STDIN. Note that the order of the return tuple is still (rd,wr), i.e. data to be read from STDIN, may be written to wr.
"""
redirect_stdin

doc"""
```rst
..  minmax(x, y)

Return ``(min(x,y), max(x,y))``.
See also: :func:`extrema` that returns ``(minimum(x), maximum(x))``
```
"""
minmax

doc"""
    mktemp([parent=tempdir()])

Returns `(path, io)`, where `path` is the path of a new temporary file in `parent` and `io` is an open file object for this path.
"""
mktemp(?)

doc"""
    mktemp(f::Function, [parent=tempdir()])

Apply the function `f` to the result of `mktemp(parent)` and remove the temporary file upon completion.
"""
mktemp(::Function, ?)

doc"""
    isreadonly(stream) -> Bool

Determine whether a stream is read-only.
"""
isreadonly

doc"""
```rst
..  get_rounding(T)

Get the current floating point rounding mode for type ``T``, controlling
the rounding of basic arithmetic functions (:func:`+`, :func:`-`,
:func:`*`, :func:`/` and :func:`sqrt`) and type conversion.

Valid modes are ``RoundNearest``, ``RoundToZero``, ``RoundUp``,
``RoundDown``, and ``RoundFromZero`` (``BigFloat`` only).
```
"""
get_rounding

doc"""
```rst
..  code_llvm(f, types)

Prints the LLVM bitcodes generated for running the method matching the given generic function and type signature to :const:`STDOUT`.

All metadata and dbg.* calls are removed from the printed bitcode. Use code_llvm_raw for the full IR.
```
"""
code_llvm

doc"""
```rst
..  Bidiagonal(dv, ev, isupper)

Constructs an upper (``isupper=true``) or lower (``isupper=false``) bidiagonal matrix
using the given diagonal (``dv``) and off-diagonal (``ev``) vectors.  The result is of type ``Bidiagonal`` and provides efficient specialized linear solvers, but may be converted into a regular matrix with :func:`full`.
```
"""
Bidiagonal

doc"""
    notify(condition, val=nothing; all=true, error=false)

Wake up tasks waiting for a condition, passing them `val`. If `all` is `true` (the default), all waiting tasks are woken, otherwise only one is. If `error` is `true`, the passed value is raised as an exception in the woken tasks.
"""
notify

doc"""
```rst
..  sub(A, inds...)

Like :func:`getindex`, but returns a view into the parent array ``A`` with the given indices instead of making a copy.  Calling :func:`getindex` or :func:`setindex!` on the returned :obj:`SubArray` computes the indices to the parent array on the fly without checking bounds.
```
"""
sub

doc"""
```rst
..  cholfact!(A [,LU=:U [,pivot=Val{false}]][;tol=-1.0]) -> Cholesky

``cholfact!`` is the same as :func:`cholfact`, but saves space by overwriting the input ``A``, instead of creating a copy. ``cholfact!`` can also reuse the symbolic factorization from a different matrix ``F`` with the same structure when used as: ``cholfact!(F::CholmodFactor, A)``.
```
"""
cholfact!

doc"""
    expanduser(path::AbstractString) -> AbstractString

On Unix systems, replace a tilde character at the start of a path with the current user's home directory.
"""
expanduser

doc"""
    haskey(collection, key) -> Bool

Determine whether a collection has a mapping for a given key.
"""
haskey

doc"""
    cot(x)

Compute the cotangent of `x`, where `x` is in radians
"""
cot

doc"""
```rst
..  get(x)

Attempt to access the value of the ``Nullable`` object, ``x``. Returns the
value if it is present; otherwise, throws a ``NullException``.
```
"""
get(x)

doc"""
```rst
..  get(x, y)

Attempt to access the value of the ``Nullable{T}`` object, ``x``. Returns
the value if it is present; otherwise, returns ``convert(T, y)``.
```
"""
get(x,y)

doc"""
```rst
..  get(collection, key, default)

Return the value stored for the given key, or the given default value if no mapping for the key is present.
```
"""
get(collection,key,default)

doc"""
```rst
..  get(f::Function, collection, key)

Return the value stored for the given key, or if no mapping for the key is present, return ``f()``.  Use :func:`get!` to also store the default value in the dictionary.

This is intended to be called using ``do`` block syntax::

  get(dict, key) do
      # default value calculated here
      time()
  end
```
"""
get

doc"""
    .!=(x, y)
    .≠(x,y)

Element-wise not-equals comparison operator.
"""
Base.(:(.!=))

doc"""
```rst
..  lufact!(A) -> LU

``lufact!`` is the same as :func:`lufact`, but saves space by overwriting the input ``A``, instead of creating a copy.  For sparse ``A`` the ``nzval`` field is not overwritten but the index fields, ``colptr`` and ``rowval`` are decremented in place, converting from 1-based indices to 0-based indices.
```
"""
lufact!

doc"""
    IOBuffer() -> IOBuffer

Create an in-memory I/O stream.
"""
IOBuffer()

doc"""
    IOBuffer(size::Int)

Create a fixed size IOBuffer. The buffer will not grow dynamically.
"""
IOBuffer(size::Int)

doc"""
    IOBuffer(string)

Create a read-only IOBuffer on the data underlying the given string
"""
IOBuffer(::AbstractString)

doc"""
    IOBuffer([data,],[readable,writable,[maxsize]])

Create an IOBuffer, which may optionally operate on a pre-existing array. If the readable/writable arguments are given, they restrict whether or not the buffer may be read from or written to respectively. By default the buffer is readable but not writable. The last argument optionally specifies a size beyond which the buffer may not be grown.
"""
IOBuffer(data=?)

doc"""
    findmax(itr) -> (x, index)

Returns the maximum element and its index.
"""
findmax(itr)

doc"""
    findmax(A, dims) -> (maxval, index)

For an array input, returns the value and index of the maximum over the given dimensions.
"""
findmax(A,dims)

doc"""
    tempname()

Generate a unique temporary file path.
"""
tempname

doc"""
    poll_fd(fd, timeout_s::Real; readable=false, writable=false)

Monitor a file descriptor `fd` for changes in the read or write availability, and with a timeout given by `timeout_s` seconds.

The keyword arguments determine which of read and/or write status should be monitored; at least one of them must be set to `true`.

The returned value is an object with boolean fields `readable`, `writable`, and `timedout`, giving the result of the polling.
"""
poll_fd

doc"""
    prevpow2(n)

The largest power of two not greater than `n`. Returns 0 for `n==0`, and returns `-prevpow2(-n)` for negative arguments.
"""
prevpow2

doc"""
```rst
..  code_warntype(f, types)

Displays lowered and type-inferred ASTs for the methods matching the given generic function and type signature. The ASTs are annotated in such a way as to cause "non-leaf" types to be emphasized (if color is available, displayed in red). This serves as a warning of potential type instability. Not all non-leaf types are particularly problematic for performance, so the results need to be used judiciously. See :ref:`man-code-warntype` for more information.
```
"""
code_warntype

doc"""
    broadcast!_function(f)

Like `broadcast_function`, but for `broadcast!`.
"""
broadcast!_function

doc"""
    with_rounding(f::Function, T, mode)

Change the rounding mode of floating point type `T` for the duration of `f`. It is logically equivalent to:

    old = get_rounding(T)
    set_rounding(T, mode)
    f()
    set_rounding(T, old)

See `get_rounding` for available rounding modes.
"""
with_rounding

doc"""
    sleep(seconds)

Block the current task for a specified number of seconds. The minimum sleep time is 1 millisecond or input of `0.001`.
"""
sleep

doc"""
    Mmap.sync!(array)

Forces synchronization between the in-memory version of a memory-mapped `Array` or `BitArray` and the on-disk version.
"""
Mmap.sync!

doc"""
    csc(x)

Compute the cosecant of `x`, where `x` is in radians
"""
csc

doc"""
    hash(x[, h::UInt])

Compute an integer hash code such that `isequal(x,y)` implies `hash(x)==hash(y)`. The optional second argument `h` is a hash code to be mixed with the result.

New types should implement the 2-argument form, typically by calling the 2-argument `hash` method recursively in order to mix hashes of the contents with each other (and with `h`). Typically, any type that implements `hash` should also implement its own `==` (hence `isequal`) to guarantee the property mentioned above.
"""
hash

doc"""
    atan2(y, x)

Compute the inverse tangent of `y/x`, using the signs of both `x` and `y` to determine the quadrant of the return value.
"""
atan2

doc"""
    send(socket::UDPSocket, host::IPv4, port::Integer, msg)

Send `msg` over `socket` to `host:port`.
"""
send

doc"""
    atanh(x)

Compute the inverse hyperbolic tangent of `x`
"""
atanh

doc"""
    deleteat!(collection, index)

Remove the item at the given `index` and return the modified `collection`.
Subsequent items are shifted to fill the resulting gap.

```jldoctest
julia> deleteat!([6, 5, 4, 3, 2, 1], 2)
5-element Array{Int64,1}:
 6
 4
 3
 2
 1
```
"""
deleteat!(collection, index::Integer)

doc"""
    deleteat!(collection, itr)

Remove the items at the indices given by `itr`, and return the modified `collection`.
Subsequent items are shifted to fill the resulting gap. `itr` must be sorted and unique.

```jldoctest
julia> deleteat!([6, 5, 4, 3, 2, 1], 1:2:5)
3-element Array{Int64,1}:
 5
 3
 1

julia> deleteat!([6, 5, 4, 3, 2, 1], (2, 2))
ERROR: ArgumentError: indices must be unique and sorted
 in deleteat! at array.jl:547
```
"""
deleteat!(collection, itr)

doc"""
```rst
..  schurfact!(A)

Computes the Schur factorization of ``A``, overwriting ``A`` in the process. See :func:`schurfact`
```
"""
schurfact!

doc"""
    read(stream, type)

Read a value of the given type from a stream, in canonical binary representation.
"""
read(stream, t)

doc"""
    read(stream, type, dims)

Read a series of values of the given type from a stream, in canonical binary representation. `dims` is either a tuple or a series of integer arguments specifying the size of `Array` to return.
"""
read(stream, t, dims)

doc"""
    @timev

This is a verbose version of the `@time` macro. It first prints the same information as `@time`, then any non-zero memory allocation counters, and then returns the value of the expression.
"""
:@timev

doc"""
    isopen(object) -> Bool

Determine whether an object - such as a stream, timer, or mmap -- is not yet closed. Once an object is closed, it will never produce a new event. However, a closed stream may still have data to read in its buffer, use `eof` to check for the ability to read data. Use `poll_fd` to be notified when a stream might be writable or readable.
"""
isopen

doc"""
    shift!(collection) -> item

Remove the first `item` from `collection`.

```jldoctest
julia> A = [1, 2, 3, 4, 5, 6]
6-element Array{Int64,1}:
 1
 2
 3
 4
 5
 6

julia> shift!(A)
1

julia> A
5-element Array{Int64,1}:
 2
 3
 4
 5
 6
```
"""
shift!

doc"""
    @fetch

Equivalent to `fetch(@spawn expr)`.
"""
:@fetch

doc"""
    spawn(command)

Run a command object asynchronously, returning the resulting `Process` object.
"""
spawn

doc"""
    isposdef(A) -> Bool

Test whether a matrix is positive definite.
"""
isposdef

doc"""
    nextind(str, i)

Get the next valid string index after `i`. Returns a value greater than `endof(str)` at or after the end of the string.
"""
nextind

doc"""
    >>>(x, n)

Unsigned right bit shift operator.
"""
Base.(:(>>>))

doc"""
    @timed

A macro to execute an expression, and return the value of the expression, elapsed time, total bytes allocated, garbage collection time, and an object with various memory allocation counters.
"""
:@timed

doc"""
    code_native(f, types)

Prints the native assembly instructions generated for running the method matching the given generic function and type signature to `STDOUT`.
"""
code_native

doc"""
    isgeneric(f::Function) -> Bool

Determine whether a `Function` is generic.
"""
isgeneric

doc"""
    symdiff(s1,s2...)

Construct the symmetric difference of elements in the passed in sets or arrays. Maintains order with arrays.
"""
symdiff

doc"""
    histrange(v, n)

Compute *nice* bin ranges for the edges of a histogram of `v`, using approximately `n` bins. The resulting step sizes will be 1, 2 or 5 multiplied by a power of 10. Note: Julia does not ignore `NaN` values in the computation.
"""
histrange

doc"""
    eta(x)

Dirichlet eta function $\eta(s) = \sum^\infty_{n=1}(-)^{n-1}/n^{s}$.
"""
eta

doc"""
    isdefined([object,] index | symbol)

Tests whether an assignable location is defined. The arguments can be an array and index, a composite object and field name (as a symbol), or a module and a symbol. With a single symbol argument, tests whether a global variable with that name is defined in `current_module()`.
"""
isdefined

doc"""
    cotd(x)

Compute the cotangent of `x`, where `x` is in degrees
"""
cotd

doc"""
    dec(n, [pad])

Convert an integer to a decimal string, optionally specifying a number of digits to pad to.
"""
dec

doc"""
    wait([x])

Block the current task until some event occurs, depending on the type
of the argument:

* `RemoteRef`: Wait for a value to become available for the specified remote reference.
* `Channel`: Wait for a value to be appended to the channel.
* `Condition`: Wait for `notify` on a condition.
* `Process`: Wait for a process or process chain to exit. The `exitcode` field of a process can be used to determine success or failure.
* `Task`: Wait for a `Task` to finish, returning its result value. If the task fails with an exception, the exception is propagated (re-thrown in the task that called `wait`).
* `RawFD`: Wait for changes on a file descriptor (see `poll_fd` for keyword arguments and return code)

If no argument is passed, the task blocks for an undefined period. If the task's
state is set to `:waiting`, it can only be restarted by an explicit call to
`schedule` or `yieldto`. If the task's state is `:runnable`, it might be
restarted unpredictably.

Often `wait` is called within a `while` loop to ensure a waited-for condition
is met before proceeding.
"""
wait

doc"""
```rst
..  shuffle([rng,] v)

Return a randomly permuted copy of ``v``. The optional ``rng`` argument
specifies a random number generator, see :ref:`Random Numbers
<random-numbers>`.
```
"""
shuffle

doc"""
```rst
..  Dict([itr])

``Dict{K,V}()`` constructs a hash table with keys of type ``K`` and values of type ``V``.

Given a single iterable argument, constructs a :obj:`Dict` whose key-value pairs
are taken from 2-tuples ``(key,value)`` generated by the argument.

.. doctest::

  julia> Dict([("A", 1), ("B", 2)])
  Dict{ASCIIString,Int64} with 2 entries:
    "B" => 2
    "A" => 1

Alternatively, a sequence of pair arguments may be passed.

.. doctest::

  julia> Dict("A"=>1, "B"=>2)
  Dict{ASCIIString,Int64} with 2 entries:
    "B" => 2
    "A" => 1
```
"""
Dict

doc"""
    sqrt(x)

Return $\sqrt{x}$. Throws `DomainError` for negative `Real` arguments. Use complex negative arguments instead.  The prefix operator `√` is equivalent to `sqrt`.
"""
sqrt

doc"""
    atexit(f)

Register a zero-argument function `f()` to be called at process exit.
`atexit()` hooks are called in last in first out (LIFO) order and run before object finalizers.
"""
atexit

doc"""
    besselk(nu, x)

Modified Bessel function of the second kind of order `nu`, $K_\nu(x)$.
"""
besselk

doc"""
    readchomp(x)

Read the entirety of `x` as a string but remove trailing newlines. Equivalent to `chomp(readall(x))`.
"""
readchomp

doc"""
```rst
..  pinv(M[, tol])

Computes the Moore-Penrose pseudoinverse.

For matrices ``M`` with floating point elements, it is convenient to compute
the pseudoinverse by inverting only singular values above a given threshold,
``tol``.

The optimal choice of ``tol`` varies both with the value of ``M``
and the intended application of the pseudoinverse. The default value of
``tol`` is ``eps(real(float(one(eltype(M)))))*maximum(size(A))``,
which is essentially machine epsilon for the real part of a matrix element
multiplied by the larger matrix dimension.
For inverting dense ill-conditioned matrices in a least-squares sense,
``tol = sqrt(eps(real(float(one(eltype(M))))))`` is recommended.

For more information, see [issue8859]_, [B96]_, [S84]_, [KY88]_.

.. [issue8859] Issue 8859, "Fix least squares", https://github.com/JuliaLang/julia/pull/8859
.. [B96] Åke Björck, "Numerical Methods for Least Squares Problems",
   SIAM Press, Philadelphia, 1996, "Other Titles in Applied Mathematics", Vol. 51.
   `doi:10.1137/1.9781611971484 <http://epubs.siam.org/doi/book/10.1137/1.9781611971484>`_
.. [S84] G. W. Stewart, "Rank Degeneracy", SIAM Journal on
   Scientific and Statistical Computing, 5(2), 1984, 403-413.
   `doi:10.1137/0905030 <http://epubs.siam.org/doi/abs/10.1137/0905030>`_
.. [KY88] Konstantinos Konstantinides and Kung Yao, "Statistical analysis
   of effective singular values in matrix rank determination", IEEE
   Transactions on Acoustics, Speech and Signal Processing, 36(5), 1988,
   757-763.
   `doi:10.1109/29.1585 <http://dx.doi.org/10.1109/29.1585>`_
```
"""
pinv

doc"""
    asecd(x)

Compute the inverse secant of `x`, where the output is in degrees
"""
asecd

doc"""
    readbytes!(stream, b::Vector{UInt8}, nb=length(b); all=true)

Read at most `nb` bytes from the stream into `b`, returning the number of bytes read (increasing the size of `b` as needed).

See `readbytes` for a description of the `all` option.
"""
readbytes!

doc"""
    basename(path::AbstractString) -> AbstractString

Get the file name part of a path.
"""
basename

doc"""
    ArgumentError(msg)

The parameters to a function call do not match a valid signature.
Argument `msg` is a descriptive error string.
"""
ArgumentError

doc"""
    atand(x)

Compute the inverse tangent of `x`, where the output is in degrees
"""
atand

doc"""
    KeyError(key)

An indexing operation into an `Associative` (`Dict`) or `Set` like object tried to access or delete a non-existent element.
"""
KeyError

doc"""
    isdiag(A) -> Bool

Test whether a matrix is diagonal.
"""
isdiag

doc"""
    !==(x, y)
    ≢(x,y)

Equivalent to `!is(x, y)`
"""
Base.(:(!==))

doc"""
    trailing_ones(x::Integer) -> Integer

Number of ones trailing the binary representation of `x`.

```jldoctest
julia> trailing_ones(3)
2
```
"""
trailing_ones

doc"""
    repeated(x[, n::Int])

An iterator that generates the value `x` forever. If `n` is specified, generates `x` that many times (equivalent to `take(repeated(x), n)`).
"""
repeated

doc"""
    isnumber(c::Union{Char,AbstractString}) -> Bool

Tests whether a character is numeric, or whether this is true for all elements of a string. A character is classified as numeric if it belongs to the Unicode general category Number, i.e. a character whose category code begins with 'N'.
"""
isnumber

doc"""
    similar(array, [element_type=eltype(array)], [dims=size(array)])

Create an uninitialized mutable array with the given element type and size,
based upon the given source array. The second and third arguments are both
optional, defaulting to the given array's `eltype` and `size`. The dimensions
may be specified either as a single tuple argument or as a series of integer
arguments.

Custom AbstractArray subtypes may choose which specific array type is
best-suited to return for the given element type and dimensionality. If they do
not specialize this method, the default is an `Array(element_type, dims...)`.

For example, `similar(1:10, 1, 4)` returns an uninitialized `Array{Int,2}` since
ranges are neither mutable nor support 2 dimensions:

    julia> similar(1:10, 1, 4)
    1x4 Array{Int64,2}:
     4419743872  4374413872  4419743888  0

Conversely, `similar(trues(10,10), 2)` returns an uninitialized `BitVector`
with two elements since `BitArray`s are both mutable and can support
1-dimensional arrays:

    julia> similar(trues(10,10), 2)
    2-element BitArray{1}:
     false
     false

Since `BitArray`s can only store elements of type `Bool`, however, if you
request a different element type it will create a regular `Array` instead:

    julia> similar(falses(10), Float64, 2, 4)
    2x4 Array{Float64,2}:
     2.18425e-314  2.18425e-314  2.18425e-314  2.18425e-314
     2.18425e-314  2.18425e-314  2.18425e-314  2.18425e-314
"""
similar

doc"""
    copy(x)

Create a shallow copy of `x`: the outer structure is copied, but not all internal values. For example, copying an array produces a new array with identically-same elements as the original.
"""
copy

doc"""
    isempty(collection) -> Bool

Determine whether a collection is empty (has no elements).

```jldoctest
julia> isempty([])
true

julia> isempty([1 2 3])
false
```
"""
isempty

doc"""
    sumabs!(r, A)

Sum absolute values of elements of `A` over the singleton dimensions of `r`, and write results to `r`.
"""
sumabs!

doc"""
    abs(x)

Absolute value of `x`
"""
abs

doc"""
    Sys.set_process_title(title::AbstractString)

Set the process title. No-op on some operating systems. (not exported)
"""
Sys.set_process_title

doc"""
    htol(x)

Converts the endianness of a value from that used by the Host to Little-endian.
"""
htol

doc"""
    ctime(file)

Equivalent to `stat(file).ctime`
"""
ctime

doc"""
    normpath(path::AbstractString) -> AbstractString

Normalize a path, removing "." and ".." entries.
"""
normpath

doc"""
```rst
..  unmark(s)

Remove a mark from stream ``s``.
Returns ``true`` if the stream was marked, ``false`` otherwise.

See also :func:`mark`, :func:`reset`, :func:`ismarked`
```
"""
unmark

doc"""
    module_name(m::Module) -> Symbol

Get the name of a `Module` as a `Symbol`.
"""
module_name

doc"""
```rst
..  reset(s)

Reset a stream ``s`` to a previously marked position, and remove the mark.
Returns the previously marked position.
Throws an error if the stream is not marked.

See also :func:`mark`, :func:`unmark`, :func:`ismarked`
```
"""
reset

doc"""
    modf(x)

Return a tuple (fpart,ipart) of the fractional and integral parts of a number. Both parts have the same sign as the argument.
"""
modf

doc"""
    hex2num(str)

Convert a hexadecimal string to the floating point number it represents
"""
hex2num

doc"""
    ndims(A) -> Integer

Returns the number of dimensions of `A`
"""
ndims

doc"""
    @osx

Given `@osx? a : b`, do `a` on OS X and `b` elsewhere. See documentation for Handling Platform Variations in the Calling C and Fortran Code section of the manual.
"""
:@osx

doc"""
    ishermitian(A) -> Bool

Test whether a matrix is Hermitian.
"""
ishermitian

doc"""
    sind(x)

Compute sine of `x`, where `x` is in degrees.
"""
sind

doc"""
    iseltype(A,T)

Tests whether `A` or its elements are of type `T`.
"""
iseltype

doc"""
    symperm(A, p)

Return the symmetric permutation of `A`, which is `A[p,p]`. `A` should be symmetric and sparse, where only the upper triangular part of the matrix is stored. This algorithm ignores the lower triangular part of the matrix. Only the upper triangular part of the result is returned as well.
"""
symperm

doc"""
    min(x, y, ...)

Return the minimum of the arguments. Operates elementwise over arrays.
"""
min

doc"""
    isready(r::RemoteRef)

Determine whether a `RemoteRef` has a value stored to it. Note that this function can cause race conditions, since by the time you receive its result it may no longer be true. It is recommended that this function only be used on a `RemoteRef` that is assigned once.

If the argument `RemoteRef` is owned by a different node, this call will block to wait for the answer. It is recommended to wait for `r` in a separate task instead, or to use a local `RemoteRef` as a proxy:

    rr = RemoteRef()
    @async put!(rr, remotecall_fetch(p, long_computation))
    isready(rr)  # will not block
"""
isready

doc"""
    InexactError()

Type conversion cannot be done exactly.
"""
InexactError

doc"""
    @sync

Wait until all dynamically-enclosed uses of `@async`, `@spawn`, `@spawnat` and `@parallel` are complete. All exceptions thrown by enclosed async operations are collected and thrown as a `CompositeException`.
"""
:@sync

doc"""
    typemax(T)

The highest value representable by the given (real) numeric `DataType`.
"""
typemax

doc"""
    all(itr) -> Bool

Test whether all elements of a boolean collection are `true`.
"""
all(itr)

doc"""
    all(A, dims)

Test whether all values along the given dimensions of an array are `true`.
"""
all(A::AbstractArray, dims)

doc"""
    all(p, itr) -> Bool

Determine whether predicate `p` returns `true` for all elements of `itr`.

```jldoctest
julia> all(i->(4<=i<=6), [4,5,6])
true
```
"""
all(p, itr)

doc"""
    bind(socket::Union{UDPSocket, TCPSocket}, host::IPv4, port::Integer)

Bind `socket` to the given `host:port`. Note that `0.0.0.0` will listen on all devices.
"""
bind

doc"""
    cld(x, y)

Smallest integer larger than or equal to `x/y`.
"""
cld

doc"""
    issetuid(path) -> Bool

Returns `true` if `path` has the setuid flag set, `false` otherwise.
"""
issetuid

doc"""
```rst
..  scale!(A, b)
           scale!(b, A)

Scale an array ``A`` by a scalar ``b``, similar to :func:`scale` but
overwriting ``A`` in-place.

If ``A`` is a matrix and ``b`` is a vector, then ``scale!(A,b)``
scales each column ``i`` of ``A`` by ``b[i]`` (similar to
``A*diagm(b)``), while ``scale!(b,A)`` scales each row ``i`` of
``A`` by ``b[i]`` (similar to ``diagm(b)*A``), again operating in-place
on ``A``.
```
"""
scale!

doc"""
    DomainError()

The arguments to a function or constructor are outside the valid domain.
"""
DomainError

doc"""
    issym(A) -> Bool

Test whether a matrix is symmetric.
"""
issym

doc"""
```rst
..  svds(A; nsv=6, ritzvec=true, tol=0.0, maxiter=1000) -> (left_sv, s, right_sv, nconv, niter, nmult, resid)

``svds`` computes largest singular values ``s`` of ``A`` using Lanczos or Arnoldi iterations.
Uses :func:`eigs` underneath.

Inputs are:

* ``A``: Linear operator. It can either subtype of ``AbstractArray`` (e.g., sparse matrix) or duck typed. For duck typing ``A`` has to support ``size(A)``, ``eltype(A)``, ``A * vector`` and ``A' * vector``.
* ``nsv``: Number of singular values.
* ``ritzvec``: Whether to return the left and right singular vectors ``left_sv`` and ``right_sv``, default is ``true``. If ``false`` the singular vectors are omitted from the output.
* ``tol``: tolerance, see :func:`eigs`.
* ``maxiter``: Maximum number of iterations, see :func:`eigs`.

**Example**::

   X = sprand(10, 5, 0.2)
   svds(X, nsv = 2)
```
"""
svds

doc"""
    acosh(x)

Compute the inverse hyperbolic cosine of `x`
"""
acosh

doc"""
```rst
..  IntSet([itr])

Construct a sorted set of positive ``Int``\ s generated by the given iterable
object, or an empty set. Implemented as a bit string, and therefore designed
for dense integer sets. Only ``Int``\ s greater than 0 can be stored. If the
set will be sparse (for example holding a few very large integers), use
:obj:`Set` instead.
```
"""
IntSet

doc"""
    Task(func)

Create a `Task` (i.e. thread, or coroutine) to execute the given function (which must be callable with no arguments). The task exits when this function returns.
"""
Task

doc"""
    pushdisplay(d::Display)

Pushes a new display `d` on top of the global display-backend stack. Calling `display(x)` or `display(mime, x)` will display `x` on the topmost compatible backend in the stack (i.e., the topmost backend that does not throw a `MethodError`).
"""
pushdisplay

doc"""
    randexp!([rng], A::Array{Float64,N})

Fill the array `A` with random numbers following the exponential distribution (with scale 1).
"""
randexp!

doc"""
    prevind(str, i)

Get the previous valid string index before `i`. Returns a value less than `1` at the beginning of the string.
"""
prevind

doc"""
    setenv(command, env; dir=working_dir)

Set environment variables to use when running the given `command`. `env` is either a dictionary mapping strings to strings, an array of strings of the form `"var=val"`, or zero or more `"var"=>val` pair arguments. In order to modify (rather than replace) the existing environment, create `env` by `copy(ENV)` and then setting `env["var"]=val` as desired, or use `withenv`.

The `dir` keyword argument can be used to specify a working directory for the command.
"""
setenv

doc"""
    invperm(v)

Return the inverse permutation of v.
"""
invperm

doc"""
    lowercase(string)

Returns `string` with all characters converted to lowercase.
"""
lowercase

doc"""
    produce(value)

Send the given value to the last `consume` call, switching to the consumer task. If the next `consume` call passes any values, they are returned by `produce`.
"""
produce

doc"""
    StackOverflowError()

The function call grew beyond the size of the call stack. This usually happens when a call recurses infinitely.
"""
StackOverflowError

doc"""
    acsch(x)

Compute the inverse hyperbolic cosecant of `x`
"""
acsch

doc"""
    process_running(p::Process)

Determine whether a process is currently running.
"""
process_running

doc"""
```rst
..  BigInt(x)

Create an arbitrary precision integer. ``x`` may be an ``Int`` (or anything
that can be converted to an ``Int``).  The usual mathematical operators are
defined for this type, and results are promoted to a ``BigInt``.

Instances can be constructed from strings via :func:`parse`, or using the
``big`` string literal.
```
"""
BigInt

doc"""
    rsearch(string, chars, [start])

Similar to `search`, but returning the last occurrence of the given characters within the given string, searching in reverse from `start`.
"""
rsearch

doc"""
    isdirpath(path::AbstractString) -> Bool

Determines whether a path refers to a directory (for example, ends with a path separator).
"""
isdirpath

doc"""
```rst
..  in(item, collection) -> Bool
           ∈(item,collection) -> Bool
           ∋(collection,item) -> Bool
           ∉(item,collection) -> Bool
           ∌(collection,item) -> Bool

Determine whether an item is in the given collection, in the sense that it is
``==`` to one of the values generated by iterating over the collection.
Some collections need a slightly different definition; for example :obj:`Set`\ s
check whether the item :func:`isequal` to one of the elements. :obj:`Dict`\ s look for
``(key,value)`` pairs, and the key is compared using :func:`isequal`. To test
for the presence of a key in a dictionary, use :func:`haskey` or
``k in keys(dict)``.
```
"""
Base.in

doc"""
    isblockdev(path) -> Bool

Returns `true` if `path` is a block device, `false` otherwise.
"""
isblockdev

doc"""
    ==(x, y)

Generic equality operator, giving a single `Bool` result. Falls back to `===`. Should be implemented for all types with a notion of equality, based on the abstract value that an instance represents. For example, all numeric types are compared by numeric value, ignoring type. Strings are compared as sequences of characters, ignoring encoding.

Follows IEEE semantics for floating-point numbers.

Collections should generally implement `==` by calling `==` recursively on all contents.

New numeric types should implement this function for two arguments of the new type, and handle comparison to other types via promotion rules where possible.
"""
Base.(:(==))

doc"""
    mapreducedim(f, op, A, dims[, initial])

Evaluates to the same as `reducedim(op, map(f, A), dims, f(initial))`, but is generally faster because the intermediate array is avoided.
"""
mapreducedim

doc"""
    seekstart(s)

Seek a stream to its beginning.
"""
seekstart

doc"""
    nfields(x::DataType) -> Int

Get the number of fields of a `DataType`.
"""
nfields

doc"""
```rst
..  toq()

Return, but do not print, the time elapsed since the last :func:`tic`.
```
"""
toq

doc"""
    writemime(stream, mime, x)

The `display` functions ultimately call `writemime` in order to write an object `x` as a given `mime` type to a given I/O `stream` (usually a memory buffer), if possible. In order to provide a rich multimedia representation of a user-defined type `T`, it is only necessary to define a new `writemime` method for `T`, via: `writemime(stream, ::MIME"mime", x::T) = ...`, where `mime` is a MIME-type string and the function body calls `write` (or similar) to write that representation of `x` to `stream`. (Note that the `MIME""` notation only supports literal strings; to construct `MIME` types in a more flexible manner use `MIME{symbol("")}`.)

For example, if you define a `MyImage` type and know how to write it to a PNG file, you could define a function `writemime(stream, ::MIME"image/png", x::MyImage) = ...` to allow your images to be displayed on any PNG-capable `Display` (such as IJulia). As usual, be sure to `import Base.writemime` in order to add new methods to the built-in Julia function `writemime`.

Technically, the `MIME"mime"` macro defines a singleton type for the given `mime` string, which allows us to exploit Julia's dispatch mechanisms in determining how to display objects of any given type.
"""
writemime

doc"""
    mean!(r, v)

Compute the mean of `v` over the singleton dimensions of `r`, and write results to `r`.
"""
mean!

doc"""
    join(strings, delim, [last])

Join an array of `strings` into a single string, inserting the given delimiter between adjacent strings. If `last` is given, it will be used instead of `delim` between the last two strings. For example, `join(["apples", "bananas", "pineapples"], ", ", " and ") == "apples, bananas and pineapples"`.

`strings` can be any iterable over elements `x` which are convertible to strings via `print(io::IOBuffer, x)`.
"""
join

doc"""
    linreg(x, y) -> a, b

Perform linear regression. Returns `a` and `b` such that `a + b*x` is the closest
straight line to the given points `(x, y)`, i.e., such that the squared error
between `y` and `a + b*x` is minimized.

**Example**:

    using PyPlot
    x = [1.0:12.0;]
    y = [5.5, 6.3, 7.6, 8.8, 10.9, 11.79, 13.48, 15.02, 17.77, 20.81, 22.0, 22.99]
    a, b = linreg(x, y)          # Linear regression
    plot(x, y, "o")              # Plot (x, y) points
    plot(x, [a+b*i for i in x])  # Plot line determined by linear regression
"""
linreg(x,y)

doc"""
    linreg(x, y, w)

Weighted least-squares linear regression.
"""
linreg(x,y,w)

doc"""
    polygamma(m, x)

Compute the polygamma function of order `m` of argument `x` (the `(m+1)th` derivative of the logarithm of `gamma(x)`)
"""
polygamma

doc"""
    isless(x, y)

Test whether `x` is less than `y`, according to a canonical total order. Values that are normally unordered, such as `NaN`, are ordered in an arbitrary but consistent fashion. This is the default comparison used by `sort`. Non-numeric types with a canonical total order should implement this function. Numeric types only need to implement it if they have special values such as `NaN`.
"""
isless

doc"""
    expm1(x)

Accurately compute $e^x-1$.
"""
expm1

doc"""
    showerror(io, e)

Show a descriptive representation of an exception object.
"""
showerror

doc"""
    setdiff(s1,s2)

Construct the set of elements in `s1` but not `s2`. Maintains order with arrays. Note that both arguments must be collections, and both will be iterated over. In particular, `setdiff(set,element)` where `element` is a potential member of `set`, will not work in general.
"""
setdiff

doc"""
    airyai(x)

Airy function $\operatorname{Ai}(x)$.
"""
airyai

doc"""
    error(message::AbstractString)

Raise an `ErrorException` with the given message
"""
error

doc"""
    less(file::AbstractString, [line])

Show a file using the default pager, optionally providing a starting line number. Returns to the `julia` prompt when you quit the pager.
"""
less(f::AbstractString, ?)

doc"""
    less(function, [types])

Show the definition of a function using the default pager, optionally specifying a tuple of types to indicate which method to see.
"""
less(m::Method, ?)

doc"""
```rst
..  sqrtm(A)

If ``A`` has no negative real eigenvalues, compute the principal matrix square root of ``A``, that is the unique matrix :math:`X` with eigenvalues having positive real part such that :math:`X^2 = A`. Otherwise, a nonprincipal square root is returned.

If ``A`` is symmetric or Hermitian, its eigendecomposition (:func:`eigfact`) is used to compute the square root. Otherwise, the square root is determined by means of the Björck-Hammarling method, which computes the complex Schur form (:func:`schur`) and then the complex square root of the triangular factor.

.. [BH83] Åke Björck and Sven Hammarling, "A Schur method for the square root
   of a matrix", Linear Algebra and its Applications, 52-53, 1983, 127-140.
   `doi:10.1016/0024-3795(83)80010-X <http://dx.doi.org/10.1016/0024-3795(83)80010-X>`_
```
"""
sqrtm

doc"""
    conv(u,v)

Convolution of two vectors. Uses FFT algorithm.
"""
conv

doc"""
    unsafe_store!(p::Ptr{T},x,i::Integer)

Store a value of type `T` to the address of the ith element (1-indexed) starting at `p`. This is equivalent to the C expression `p[i-1] = x`.

The `unsafe` prefix on this function indicates that no validation is performed on the pointer `p` to ensure that it is valid. Incorrect usage may corrupt or segfault your program, in the same manner as C.
"""
unsafe_store!

doc"""
```rst
..  expm(A)

Compute the matrix exponential of ``A``, defined by

.. math::

   e^A = \sum_{n=0}^{\infty} \frac{A^n}{n!}.

For symmetric or Hermitian ``A``, an eigendecomposition (:func:`eigfact`) is used, otherwise the scaling and squaring algorithm (see [H05]_) is chosen.

.. [H05] Nicholas J. Higham, "The squaring and scaling method for the matrix
   exponential revisited", SIAM Journal on Matrix Analysis and Applications,
   26(4), 2005, 1179-1193.
   `doi:10.1137/090768539 <http://dx.doi.org/10.1137/090768539>`_
```
"""
expm

doc"""
```rst
..  hessfact!(A)

``hessfact!`` is the same as :func:`hessfact`, but saves space by overwriting the input ``A``, instead of creating a copy.
```
"""
hessfact!

doc"""
    Sys.get_process_title()

Get the process title. On some systems, will always return empty string. (not exported)
"""
Sys.get_process_title

doc"""
    readcsv(source, [T::Type]; options...)

Equivalent to `readdlm` with `delim` set to comma.
"""
readcsv

doc"""
    current_module() -> Module

Get the *dynamically* current `Module`, which is the `Module` code is currently being read from. In general, this is not the same as the module containing the call to this function.
"""
current_module

doc"""
    erfcx(x)

Compute the scaled complementary error function of `x`,
defined by $e^{x^2} \operatorname{erfc}(x)$.  Note
also that $\operatorname{erfcx}(-ix)$ computes the
Faddeeva function $w(x)$.
"""
erfcx

doc"""
    UndefVarError(var::Symbol)

A symbol in the current scope is not defined.
"""
UndefVarError

doc"""
    gc()

Perform garbage collection. This should not generally be used.
"""
gc

doc"""
    iscntrl(c::Union{Char,AbstractString}) -> Bool

Tests whether a character is a control character, or whether this is true for all elements of a string. Control characters are the non-printing characters of the Latin-1 subset of Unicode.
"""
iscntrl

doc"""
    hist!(counts, v, e) -> e, counts

Compute the histogram of `v`, using a vector/range `e` as the edges for the bins. This function writes the resultant counts to a pre-allocated array `counts`.
"""
hist!

doc"""
    minimum!(r, A)

Compute the minimum value of `A` over the singleton dimensions of `r`, and write results to `r`.
"""
minimum!

doc"""
    diagm(v[, k])

Construct a diagonal matrix and place `v` on the `k`th diagonal.
"""
diagm

doc"""
    .-(x, y)

Element-wise subtraction operator.
"""
Base.(:(.-))

doc"""
    imag(z)

Return the imaginary part of the complex number `z`
"""
imag

doc"""
    unsafe_trunc(T, x)

`unsafe_trunc(T, x)` returns the nearest integral value of type `T` whose absolute value is less than or equal to `x`. If the value is not representable by `T`, an arbitrary value will be returned.
"""
unsafe_trunc

doc"""
    parent(A)

Returns the "parent array" of an array view type (e.g., `SubArray`), or the array itself if it is not a view
"""
parent

doc"""
    <(x, y)

Less-than comparison operator. New numeric types should implement this function for two arguments of the new type. Because of the behavior of floating-point NaN values, `<` implements a partial order. Types with a canonical partial order should implement `<`, and types with a canonical total order should implement `isless`.
"""
Base.(:(<))

doc"""
    EnvHash() -> EnvHash

A singleton of this type provides a hash table interface to environment variables.
"""
EnvHash

doc"""
```rst
..  method_exists(f, Tuple type) -> Bool

Determine whether the given generic function has a method matching the given :obj:`Tuple` of argument types.

.. doctest::

   julia> method_exists(length, Tuple{Array})
   true
```
"""
method_exists

doc"""
    nextpow(a, x)

The smallest `a^n` not less than `x`, where `n` is a non-negative integer. `a` must be greater than 1, and `x` must be greater than 0.
"""
nextpow

doc"""
    rad2deg(x)

Convert `x` from radians to degrees
"""
rad2deg

doc"""
    gc_enable(on::Bool)

Control whether garbage collection is enabled using a boolean argument (`true` for enabled, `false` for disabled). Returns previous GC state. Disabling garbage collection should be used only with extreme caution, as it can cause memory use to grow without bound.
"""
gc_enable

doc"""
    sub2ind(dims, i, j, k...) -> index

The inverse of `ind2sub`, returns the linear index corresponding to the provided subscripts
"""
sub2ind

doc"""
    isperm(v) -> Bool

Returns `true` if `v` is a valid permutation.
"""
isperm

doc"""
    super(T::DataType)

Return the supertype of DataType `T`.
"""
super

doc"""
    readline(stream=STDIN)

Read a single line of text, including a trailing newline character (if one is reached before the end of the input), from the given `stream` (defaults to `STDIN`),
"""
readline

doc"""
    atan(x)

Compute the inverse tangent of `x`, where the output is in radians
"""
atan

doc"""
    logabsdet(M)

Log of absolute value of determinant of real matrix. Equivalent to `(log(abs(det(M))), sign(det(M)))`, but may provide increased accuracy and/or speed.
"""
logabsdet

doc"""
    joinpath(parts...) -> AbstractString

Join path components into a full path. If some argument is an absolute path, then prior components are dropped.
"""
joinpath

doc"""
    get_bigfloat_precision()

Get the precision (in bits) currently used for `BigFloat` arithmetic.
"""
get_bigfloat_precision

doc"""
    homedir() -> AbstractString

Return the current user's home directory.
"""
homedir

doc"""
    count_zeros(x::Integer) -> Integer

Number of zeros in the binary representation of `x`.

```jldoctest
julia> count_zeros(Int32(2 ^ 16 - 1))
16
```
"""
count_zeros

doc"""
    isinf(f) -> Bool

Test whether a number is infinite
"""
isinf

doc"""
    @fetchfrom

Equivalent to `fetch(@spawnat p expr)`.
"""
:@fetchfrom

doc"""
    secd(x)

Compute the secant of `x`, where `x` is in degrees
"""
secd

doc"""
    varm(v, m)

Compute the sample variance of a vector `v` with known mean `m`. Note: Julia does not ignore `NaN` values in the computation.
"""
varm

doc"""
    OverflowError()

The result of an expression is too large for the specified type and will cause a wraparound.
"""
OverflowError

doc"""
    redirect_stderr([stream])

Like redirect\_stdout, but for STDERR
"""
redirect_stderr

doc"""
    ctranspose!(dest,src)

Conjugate transpose array `src` and store the result in the preallocated array `dest`, which should have a size corresponding to `(size(src,2),size(src,1))`. No in-place transposition is supported and unexpected results will happen if `src` and `dest` have overlapping memory regions.
"""
ctranspose!

doc"""
    object_id(x)

Get a unique integer id for `x`. `object_id(x)==object_id(y)` if and only if `is(x,y)`.
"""
object_id

doc"""
```rst
..  norm(A, [p])

Compute the ``p``-norm of a vector or the operator norm of a matrix ``A``, defaulting to the ``p=2``-norm.

For vectors, ``p`` can assume any numeric value (even though not all values produce a mathematically valid vector norm). In particular, ``norm(A, Inf)`` returns the largest value in ``abs(A)``, whereas ``norm(A, -Inf)`` returns the smallest.

For matrices, the matrix norm induced by the vector ``p``-norm is used, where valid values of ``p`` are ``1``, ``2``, or ``Inf``. (Note that for sparse matrices, ``p=2`` is currently not implemented.) Use :func:`vecnorm` to compute the Frobenius norm.
```
"""
norm

doc"""
```rst
..  print_unescaped(io, s::AbstractString)

General unescaping of traditional C and Unicode escape sequences. Reverse of :func:`print_escaped`.
```
"""
print_unescaped

doc"""
    digits!(array, n, [base])

Fills an array of the digits of `n` in the given base. More significant digits are at higher indexes. If the array length is insufficient, the least significant digits are filled up to the array length. If the array length is excessive, the excess portion is filled with zeros.
"""
digits!

doc"""
    MethodError(f, args)

A method with the required type signature does not exist in the given generic function.
"""
MethodError

doc"""
    cat(dims, A...)

Concatenate the input arrays along the specified dimensions in the iterable `dims`. For dimensions not in `dims`, all input arrays should have the same size, which will also be the size of the output array along that dimension. For dimensions in `dims`, the size of the output array is the sum of the sizes of the input arrays along that dimension. If `dims` is a single number, the different arrays are tightly stacked along that dimension. If `dims` is an iterable containing several dimensions, this allows one to construct block diagonal matrices and their higher-dimensional analogues by simultaneously increasing several dimensions for every new input array and putting zero blocks elsewhere. For example, `cat([1,2], matrices...)` builds a block diagonal matrix, i.e. a block matrix with `matrices[1]`, `matrices[2]`, ... as diagonal blocks and matching zero blocks away from the diagonal.
"""
cat

doc"""
```rst
..  factorial(n)

Factorial of ``n``.  If ``n`` is an :obj:`Integer`, the factorial
is computed as an integer (promoted to at least 64 bits).  Note
that this may overflow if ``n`` is not small, but you can use
``factorial(big(n))`` to compute the result exactly in arbitrary
precision.  If ``n`` is not an ``Integer``, ``factorial(n)`` is
equivalent to :func:`gamma(n+1) <gamma>`.
```
"""
factorial(n)

doc"""
```rst
..  factorial(n,k)

Compute ``factorial(n)/factorial(k)``
```
"""
factorial(n,k)

doc"""
    bitrand([rng], [dims...])

Generate a `BitArray` of random boolean values.
"""
bitrand

doc"""
```rst
..  randcycle([rng,] n)

Construct a random cyclic permutation of length ``n``. The optional ``rng``
argument specifies a random number generator, see :ref:`Random Numbers
<random-numbers>`.
```
"""
randcycle

doc"""
    leading_zeros(x::Integer) -> Integer

Number of zeros leading the binary representation of `x`.

```jldoctest
julia> leading_zeros(Int32(1))
31
```
"""
leading_zeros

doc"""
    hankelh2(nu, x)

Bessel function of the third kind of order `nu`, $H^{(2)}_\nu(x)$.
"""
hankelh2

doc"""
    lexcmp(x, y)

Compare `x` and `y` lexicographically and return -1, 0, or 1 depending on whether `x` is less than, equal to, or greater than `y`, respectively. This function should be defined for lexicographically comparable types, and `lexless` will call `lexcmp` by default.
"""
lexcmp

doc"""
    inf(f)

Returns positive infinity of the floating point type `f` or of the same floating point type as `f`
"""
inf

doc"""
    isupper(c::Union{Char,AbstractString}) -> Bool

Tests whether a character is an uppercase letter, or whether this is true for all elements of a string. A character is classified as uppercase if it belongs to Unicode category Lu, Letter: Uppercase, or Lt, Letter: Titlecase.
"""
isupper

doc"""
    pointer_to_array(pointer, dims[, take_ownership::Bool])

Wrap a native pointer as a Julia Array object. The pointer element type determines the array element type. `own` optionally specifies whether Julia should take ownership of the memory, calling `free` on the pointer when the array is no longer referenced.
"""
pointer_to_array

doc"""
    show(x)

Write an informative text representation of a value to the current output stream. New types should overload `show(io, x)` where the first argument is a stream. The representation used by `show` generally includes Julia-specific formatting and type information.
"""
show

doc"""
    @allocated

A macro to evaluate an expression, discarding the resulting value, instead returning the total number of bytes allocated during evaluation of the expression. Note: the expression is evaluated inside a local function, instead of the current context, in order to eliminate the effects of compilation, however, there still may be some allocations due to JIT compilation. This also makes the results inconsistent with the `@time` macros, which do not try to adjust for the effects of compilation.
"""
:@allocated

doc"""
    Array(dims)

`Array{T}(dims)` constructs an uninitialized dense array with element type `T`. `dims` may be a tuple or a series of integer arguments. The syntax `Array(T, dims)` is also available, but deprecated.
"""
Array

doc"""
    isreal(x) -> Bool

Test whether `x` or all its elements are numerically equal to some real number
"""
isreal

doc"""
    randsubseq(A, p) -> Vector

Return a vector consisting of a random subsequence of the given array `A`, where each element of `A` is included (in order) with independent probability `p`. (Complexity is linear in `p*length(A)`, so this function is efficient even if `p` is small and `A` is large.) Technically, this process is known as "Bernoulli sampling" of `A`.
"""
randsubseq

doc"""
    issubtype(type1, type2)

Return `true` if and only if all values of `type1` are also of `type2`. Can also be written using the `<:` infix operator as `type1 <: type2`.
"""
issubtype(type1, type2)

doc"""
    finalizer(x, function)

Register a function `f(x)` to be called when there are no program-accessible references to `x`. The behavior of this function is unpredictable if `x` is of a bits type.
"""
finalizer

doc"""
    nextprod([k_1,k_2,...], n)

Next integer not less than `n` that can be written as $\prod k_i^{p_i}$ for integers $p_1$, $p_2$, etc.
"""
nextprod

doc"""
    <<(x, n)

Left bit shift operator.
"""
Base.(:(<<))

doc"""
    csch(x)

Compute the hyperbolic cosecant of `x`
"""
csch

doc"""
    isequal(x, y)

Similar to `==`, except treats all floating-point `NaN` values as equal to each other, and treats `-0.0` as unequal to `0.0`. The default implementation of `isequal` calls `==`, so if you have a type that doesn't have these floating-point subtleties then you probably only need to define `==`.

`isequal` is the comparison function used by hash tables (`Dict`). `isequal(x,y)` must imply that `hash(x) == hash(y)`.

This typically means that if you define your own `==` function then you must define a corresponding `hash` (and vice versa). Collections typically implement `isequal` by calling `isequal` recursively on all contents.

Scalar types generally do not need to implement `isequal` separate from `==`, unless they represent floating-point numbers amenable to a more efficient implementation than that provided as a generic fallback (based on `isnan`, `signbit`, and `==`).
"""
isequal

doc"""
    lyap(A, C)

Computes the solution `X` to the continuous Lyapunov equation `AX + XA' + C = 0`, where no eigenvalue of `A` has a zero real part and no two eigenvalues are negative complex conjugates of each other.
"""
lyap

doc"""
    condskeel(M, [x, p])

$$\kappa_S(M, p) & = \left\Vert \left\vert M \right\vert \left\vert M^{-1} \right\vert  \right\Vert_p \\
\kappa_S(M, x, p) & = \left\Vert \left\vert M \right\vert \left\vert M^{-1} \right\vert \left\vert x \right\vert \right\Vert_p$$

Skeel condition number $\kappa_S$ of the matrix `M`, optionally with respect to
the vector `x`, as computed using the operator `p`-norm. `p` is `Inf` by
default, if not provided. Valid values for `p` are `1`, `2`, or `Inf`.

This quantity is also known in the literature as the Bauer condition number,
relative condition number, or componentwise relative condition number.
"""
condskeel

doc"""
    sec(x)

Compute the secant of `x`, where `x` is in radians
"""
sec

doc"""
    recv(socket::UDPSocket)

Read a UDP packet from the specified socket, and return the bytes received. This call blocks.
"""
recv

doc"""
    acoth(x)

Compute the inverse hyperbolic cotangent of `x`
"""
acoth

doc"""
    det(M)

Matrix determinant
"""
det

doc"""
    TypeError(func::Symbol, context::AbstractString, expected::Type, got)

A type assertion failure, or calling an intrinsic function with an incorrect argument type.
"""
TypeError

doc"""
    A_rdiv_Bt(A, B)

For matrices or vectors $A$ and $B$, calculates $A / Bᵀ$
"""
A_rdiv_Bt

doc"""
    pwd() -> AbstractString

Get the current working directory.
"""
pwd

doc"""
    getipaddr() -> AbstractString

Get the IP address of the local machine, as a string of the form "x.x.x.x".
"""
getipaddr

doc"""
    uppercase(string)

Returns `string` with all characters converted to uppercase.
"""
uppercase

doc"""
    cosd(x)

Compute cosine of `x`, where `x` is in degrees
"""
cosd

doc"""
    cycle(iter)

An iterator that cycles through `iter` forever.
"""
cycle

doc"""
    put!(RemoteRef, value)

Store a value to a remote reference. Implements "shared queue of length 1" semantics: if a value is already present, blocks until the value is removed with `take!`. Returns its first argument.
"""
put!(::RemoteRef, value)

doc"""
    put!(Channel, value)

Appends an item to the channel. Blocks if the channel is full.
"""
put!(::Channel, value)

doc"""
    operm(file)

Like uperm but gets the permissions for people who neither own the file nor are a member of the group owning the file
"""
operm

doc"""
```rst
..  cumsum(A, [dim])

Cumulative sum along a dimension ``dim`` (defaults to 1).
See also :func:`cumsum!` to use a preallocated output array,
both for performance and to control the precision of the
output (e.g. to avoid overflow).
```
"""
cumsum

doc"""
    rmprocs(pids...)

Removes the specified workers.
"""
rmprocs

doc"""
    rpad(string, n, p)

Make a string at least `n` columns wide when printed, by padding on the right with copies of `p`.
"""
rpad

doc"""
    setfield!(value, name::Symbol, x)

Assign `x` to a named field in `value` of composite type. The syntax `a.b = c` calls `setfield!(a, :b, c)`, and the syntax `a.(b) = c` calls `setfield!(a, b, c)`.
"""
setfield!

doc"""
    @printf([io::IOStream], "%Fmt", args...)

Print `args` using C `printf()` style format specification string. Optionally, an `IOStream` may be passed as the first argument to redirect output.
"""
:@printf

doc"""
    rstrip(string, [chars])

Return `string` with any trailing whitespace removed. If `chars` (a character, or vector or set of characters) is provided, instead remove characters contained in it.
"""
rstrip

doc"""
    countlines(io,[eol::Char])

Read `io` until the end of the stream/file and count the number of lines. To specify a file pass the filename as the first argument. EOL markers other than '\\n' are supported by passing them as the second argument.
"""
countlines

doc"""
    *(A, B)

Matrix multiplication
"""
Base.(:(*))(::AbstractMatrix, ::AbstractMatrix)

doc"""
```rst
..  \\(A, B)

Matrix division using a polyalgorithm. For input matrices ``A`` and ``B``, the result ``X`` is such that ``A*X == B`` when ``A`` is square.  The solver that is used depends upon the structure of ``A``.  A direct solver is used for upper or lower triangular ``A``.  For Hermitian ``A`` (equivalent to symmetric ``A`` for non-complex ``A``) the ``BunchKaufman`` factorization is used.  Otherwise an LU factorization is used. For rectangular ``A`` the result is the minimum-norm least squares solution computed by a pivoted QR factorization of ``A`` and a rank estimate of ``A`` based on the R factor.

When ``A`` is sparse, a similar polyalgorithm is used. For indefinite matrices, the ``LDLt`` factorization does not use pivoting during the numerical factorization and therefore the procedure can fail even for invertible matrices.
```
"""
Base.(:(\))(A,B)

doc"""
```rst
..  .\\(x, y)

Element-wise left division operator.
```
"""
Base.(:(.\))(x,y)

doc"""
```rst
..  \\(x, y)

Left division operator: multiplication of ``y`` by the inverse of ``x`` on the left.
Gives floating-point results for integer arguments.
```
"""
Base.(:(\))(x::Number,y::Number)


doc"""
    *(x, y...)

Multiplication operator. `x*y*z*...` calls this function with all arguments, i.e.
`*(x, y, z, ...)`.
"""
Base.(:(*))(x, y...)

doc"""
    *(s, t)

Concatenate strings. The `*` operator is an alias to this function.

```jldoctest
julia> "Hello " * "world"
"Hello world"
```
"""
Base.(:(*))(s::AbstractString, t::AbstractString)

doc"""
```rst
..  complement!(s)

Mutates :obj:`IntSet` ``s`` into its set-complement.
```
"""
complement!

doc"""
```rst
..  slice(A, inds...)

Returns a view of array ``A`` with the given indices like :func:`sub`, but drops all dimensions indexed with scalars.
```
"""
slice

doc"""
    time()

Get the system time in seconds since the epoch, with fairly high (typically, microsecond) resolution.
"""
time()

doc"""
    procs()

Returns a list of all process identifiers.
"""
procs

doc"""
    procs(S::SharedArray)

Get the vector of processes that have mapped the shared array
"""
procs(::SharedArray)

doc"""
    mod(x, y)

Modulus after division, returning in the range \[0,`y`), if `y` is positive, or (`y`,0\] if `y` is negative.
"""
mod

doc"""
    qr(A [,pivot=Val{false}][;thin=true]) -> Q, R, [p]

Compute the (pivoted) QR factorization of `A` such that either `A = Q*R` or `A[:,p] = Q*R`. Also see `qrfact`. The default is to compute a thin factorization. Note that `R` is not extended with zeros when the full `Q` is requested.
"""
qr

doc"""
    invmod(x,m)

Take the inverse of `x` modulo `m`: `y` such that $xy = 1 \pmod m$.
"""
invmod

doc"""
    TextDisplay(stream)

Returns a `TextDisplay <: Display`, which can display any object as the text/plain MIME type (only), writing the text representation to the given I/O stream. (The text representation is the same as the way an object is printed in the Julia REPL.)
"""
TextDisplay

doc"""
    factor(n) -> Dict

Compute the prime factorization of an integer `n`. Returns a dictionary. The
keys of the dictionary correspond to the factors, and hence are of the same type
as `n`. The value associated with each key indicates the number of times the
factor appears in the factorization.

```jldoctest
julia> factor(100) # == 2*2*5*5
Dict{Int64,Int64} with 2 entries:
  2 => 2
  5 => 2
```
"""
factor

doc"""
    ismatch(r::Regex, s::AbstractString) -> Bool

Test whether a string contains a match of the given regular expression.
"""
ismatch

doc"""
    exp(x)

Compute $e^x$.
"""
exp

doc"""
    with_bigfloat_precision(f::Function,precision::Integer)

Change the `BigFloat` arithmetic precision (in bits) for the duration of `f`. It is logically equivalent to:

    old = get_bigfloat_precision()
    set_bigfloat_precision(precision)
    f()
    set_bigfloat_precision(old)
"""
with_bigfloat_precision

doc"""
    searchindex(string, substring, [start])

Similar to `search`, but return only the start index at which the substring is found, or `0` if it is not.
"""
searchindex

doc"""
    listenany(port_hint) -> (UInt16,TCPServer)

Create a `TCPServer` on any port, using hint as a starting point. Returns a tuple of the actual port that the server was created on and the server itself.
"""
listenany

doc"""
    getpid() -> Int32

Get Julia's process ID.
"""
getpid

doc"""
    cbrt(x)

Return $x^{1/3}$.  The prefix operator `∛` is equivalent to `cbrt`.
"""
cbrt

doc"""
```rst
..  Tridiagonal(dl, d, du)

Construct a tridiagonal matrix from the lower diagonal, diagonal, and upper diagonal, respectively.  The result is of type ``Tridiagonal`` and provides efficient specialized linear solvers, but may be converted into a regular matrix with :func:`full`.
```
"""
Tridiagonal

doc"""
    findprev(A, i)

Find the previous index <= `i` of a non-zero element of `A`, or `0` if not found.
"""
findprev(A,i)

doc"""
    findprev(predicate, A, i)

Find the previous index <= `i` of an element of `A` for which `predicate` returns `true`, or `0` if not found.
"""
findprev(predicate::Function,A,i)

doc"""
    findprev(A, v, i)

Find the previous index <= `i` of an element of `A` equal to `v` (using `==`), or `0` if not found.
"""
findprev(A,v,i)

doc"""
    matchall(r::Regex, s::AbstractString[, overlap::Bool=false]) -> Vector{AbstractString}

Return a vector of the matching substrings from eachmatch.
"""
matchall

doc"""
    get!(collection, key, default)

Return the value stored for the given key, or if no mapping for the key is present, store `key => default`, and return `default`.
"""
get!(collection,key,default)

doc"""
    get!(f::Function, collection, key)

Return the value stored for the given key, or if no mapping for the key is present, store `key => f()`, and return `f()`.

This is intended to be called using `do` block syntax:

    get!(dict, key) do
        # default value calculated here
        time()
    end
"""
get!(f::Function,collection,key)

doc"""
    inv(M)

Matrix inverse
"""
inv

doc"""
    mod1(x,m)

Modulus after division, returning in the range (0,m\]
"""
mod1

doc"""
    @assert cond [text]

Throw an `AssertionError` if `cond` is `false`. Preferred syntax for writing assertions.
Message `text` is optionally displayed upon assertion failure.
"""
:@assert

doc"""
    intersect!(s1, s2)

Intersects sets `s1` and `s2` and overwrites the set `s1` with the result. If needed, `s1` will be expanded to the size of `s2`.
"""
intersect!

doc"""
    listen([addr,]port) -> TCPServer

Listen on port on the address specified by `addr`. By default this listens on localhost only. To listen on all interfaces pass `IPv4(0)` or `IPv6(0)` as appropriate.
"""
listen(addr,port)

doc"""
    listen(path) -> PipeServer

Create and listen on a Named Pipe / Domain Socket
"""
listen(path)

doc"""
    leading_ones(x::Integer) -> Integer

Number of ones leading the binary representation of `x`.

```jldoctest
julia> leading_ones(UInt32(2 ^ 32 - 2))
31
```
"""
leading_ones

doc"""
    deserialize(stream)

Read a value written by `serialize`.
"""
deserialize

doc"""
    asech(x)

Compute the inverse hyperbolic secant of `x`
"""
asech

doc"""
```rst
..  ismarked(s)

Returns ``true`` if stream ``s`` is marked.

See also :func:`mark`, :func:`unmark`, :func:`reset`
```
"""
ismarked

doc"""
```rst
..  first(coll)

Get the first element of an iterable collection. Returns the start point of a :obj:`Range`
even if it is empty.
```
"""
first

doc"""
    median!(v)

Like `median`, but may overwrite the input vector.
"""
median!

doc"""
    cumprod!(B, A, [dim])

Cumulative product of `A` along a dimension, storing the result in `B`. The dimension defaults to 1.
"""
cumprod!

doc"""
    @linux

Given `@linux? a : b`, do `a` on Linux and `b` elsewhere. See documentation for Handling Platform Variations in the Calling C and Fortran Code section of the manual.
"""
:@linux

doc"""
```rst
..  complement(s)

Returns the set-complement of :obj:`IntSet` ``s``.
```
"""
complement

doc"""
    rethrow([e])

Throw an object without changing the current exception backtrace. The default argument is the current exception (if called within a `catch` block).
"""
rethrow

doc"""
    reprmime(mime, x)

Returns an `AbstractString` or `Vector{UInt8}` containing the representation of `x` in the requested `mime` type, as written by `writemime` (throwing a `MethodError` if no appropriate `writemime` is available). An `AbstractString` is returned for MIME types with textual representations (such as `"text/html"` or `"application/postscript"`), whereas binary data is returned as `Vector{UInt8}`. (The function `istext(mime)` returns whether or not Julia treats a given `mime` type as text.)

As a special case, if `x` is an `AbstractString` (for textual MIME types) or a `Vector{UInt8}` (for binary MIME types), the `reprmime` function assumes that `x` is already in the requested `mime` format and simply returns `x`.
"""
reprmime

doc"""
    rm(path::AbstractString; recursive=false)

Delete the file, link, or empty directory at the given path. If `recursive=true` is passed and the path is a directory, then all contents are removed recursively.
"""
rm

doc"""
    MersenneTwister([seed])

Create a `MersenneTwister` RNG object. Different RNG objects can have their own seeds, which may be useful for generating different streams of random numbers.
"""
MersenneTwister

doc"""
    graphemes(s) -> iterator over substrings of s

Returns an iterator over substrings of `s` that correspond to the extended graphemes in the string, as defined by Unicode UAX \#29. (Roughly, these are what users would perceive as single characters, even though they may contain more than one codepoint; for example a letter combined with an accent mark is a single grapheme.)
"""
graphemes

doc"""
    @__FILE__ -> AbstractString

`@__FILE__` expands to a string with the absolute path and file name of the script being run. Returns `nothing` if run from a REPL or an empty string if evaluated by `julia -e <expr>`.
"""
:@__FILE__

keywords[symbol("@__LINE__")] = doc"""
    @__LINE__ -> Int

`@__LINE__` expands to the line number of the call-site.
"""

doc"""
    charwidth(c)

Gives the number of columns needed to print a character.
"""
charwidth

doc"""
    abspath(path::AbstractString) -> AbstractString

Convert a path to an absolute path by adding the current directory if necessary.
"""
abspath

doc"""
    ispunct(c::Union{Char,AbstractString}) -> Bool

Tests whether a character belongs to the Unicode general category Punctuation, i.e. a character whose category code begins with 'P'. For strings, tests whether this is true for all elements of the string.
"""
ispunct

doc"""
    bitunpack(B::BitArray{N}) -> Array{Bool,N}

Converts a packed boolean array to an array of booleans
"""
bitunpack

doc"""
    @which

Applied to a function call, it evaluates the arguments to the specified function call, and returns the `Method` object for the method that would be called for those arguments. Applied to a variable, it returns the module in which the variable was bound. It calls out to the `which` function.
"""
:@which

doc"""
    size(A, [dim...])

Returns a tuple containing the dimensions of `A`. Optionally you can specify the dimension(s) you want the length of, and get the length of that dimension, or a tuple of the lengths of dimensions you asked for.:

    julia> A = rand(2,3,4);

    julia> size(A, 2)
    3

    julia> size(A,3,2)
    (4,3)
"""
size

doc"""
    trigamma(x)

Compute the trigamma function of `x` (the logarithmic second derivative of `gamma(x)`)
"""
trigamma

doc"""
    findmin(itr) -> (x, index)

Returns the minimum element and its index.
"""
findmin(itr)

doc"""
    findmin(A, dims) -> (minval, index)

For an array input, returns the value and index of the minimum over the given dimensions.
"""
findmin(A,dims)

doc"""
    ismount(path) -> Bool

Returns `true` if `path` is a mount point, `false` otherwise.
"""
ismount

doc"""
    endswith(string, suffix | chars)

Returns `true` if `string` ends with `suffix`. If the second argument is a vector or set of characters, tests whether the last character of `string` belongs to that set.
"""
endswith

doc"""
    airy(k,x)

The `k`th derivative of the Airy function $\operatorname{Ai}(x)$.
"""
airy

doc"""
    !(x)

Boolean not
"""
Base.(:(!))

doc"""
    length(A) -> Integer

Returns the number of elements in `A`.
"""
length(::AbstractArray)

doc"""
    length(collection) -> Integer

For ordered, indexable collections, the maximum index `i` for which `getindex(collection, i)` is valid. For unordered collections, the number of elements.
"""
length(collection)

doc"""
    length(s)

The number of characters in string `s`.
"""
length(::AbstractString)

doc"""
    rand!([rng], A, [coll])

Populate the array `A` with random values. If the indexable collection `coll` is specified, the values are picked randomly from `coll`. This is equivalent to `copy!(A, rand(rng, coll, size(A)))` or `copy!(A, rand(rng, eltype(A), size(A)))` but without allocating a new array.
"""
rand!

doc"""
```rst
..  bkfact(A) -> BunchKaufman

Compute the Bunch-Kaufman [Bunch1977]_ factorization of a real symmetric or complex Hermitian matrix ``A`` and return a ``BunchKaufman`` object. The following functions are available for ``BunchKaufman`` objects: ``size``, ``\``, ``inv``, ``issym``, ``ishermitian``.

.. [Bunch1977] J R Bunch and L Kaufman, Some stable methods for calculating inertia and solving symmetric linear systems, Mathematics of Computation 31:137 (1977), 163-179. `url <http://www.ams.org/journals/mcom/1977-31-137/S0025-5718-1977-0428694-0>`_.
```
"""
bkfact

doc"""
    searchsortedlast(a, x, [by=<transform>,] [lt=<comparison>,] [rev=false])

Returns the index of the last value in `a` less than or equal to `x`, according to the specified order. Returns `0` if `x` is less than all values in `a`.
"""
searchsortedlast

doc"""
    InterruptException()

The process was stopped by a terminal interrupt (CTRL+C).
"""
InterruptException

doc"""
    cov(v1[, v2][, vardim=1, corrected=true, mean=nothing])

Compute the Pearson covariance between the vector(s) in `v1` and `v2`. Here, `v1` and `v2` can be either vectors or matrices.

This function accepts three keyword arguments:

- `vardim`: the dimension of variables. When `vardim = 1`, variables are considered in columns while observations in rows; when `vardim = 2`, variables are in rows while observations in columns. By default, it is set to `1`.
- `corrected`: whether to apply Bessel's correction (divide by `n-1` instead of `n`). By default, it is set to `true`.
- `mean`: allow users to supply mean values that are known. By default, it is set to `nothing`, which indicates that the mean(s) are unknown, and the function will compute the mean. Users can use `mean=0` to indicate that the input data are centered, and hence there's no need to subtract the mean.

The size of the result depends on the size of `v1` and `v2`. When both `v1` and `v2` are vectors, it returns the covariance between them as a scalar. When either one is a matrix, it returns a covariance matrix of size `(n1, n2)`, where `n1` and `n2` are the numbers of slices in `v1` and `v2`, which depend on the setting of `vardim`.

Note: `v2` can be omitted, which indicates `v2 = v1`.
"""
cov

doc"""
    den(x)

Denominator of the rational representation of `x`
"""
den

doc"""
    issubnormal(f) -> Bool

Test whether a floating point number is subnormal
"""
issubnormal

doc"""
    Ac_ldiv_B(A, B)

For matrices or vectors $A$ and $B$, calculates $Aᴴ$ \ $B$
"""
Ac_ldiv_B

doc"""
    NullException()

An attempted access to a `Nullable` with no defined value.
"""
NullException

doc"""
    .==(x, y)

Element-wise equality comparison operator.
"""
Base.(:(.==))

doc"""
    cfunction(function::Function, ReturnType::Type, (ArgumentTypes...))

Generate C-callable function pointer from Julia function. Type annotation of the return value in the callback function is a must for situations where Julia cannot infer the return type automatically.

For example:

    function foo()
        # body

        retval::Float64
    end

    bar = cfunction(foo, Float64, ())
"""
cfunction

doc"""
    recvfrom(socket::UDPSocket) -> (address, data)

Read a UDP packet from the specified socket, returning a tuple of (address, data), where address will be either IPv4 or IPv6 as appropriate.
"""
recvfrom

doc"""
```rst
..  @code_llvm

Evaluates the arguments to the function call, determines their types, and calls :func:`code_llvm` on the resulting expression.
```
"""
:@code_llvm

doc"""
    nextfloat(f)

Get the next floating point number in lexicographic order
"""
nextfloat

doc"""
    intersect(s1,s2...)
    ∩(s1,s2)

Construct the intersection of two or more sets. Maintains order and multiplicity of the first argument for arrays and ranges.
"""
intersect

doc"""
    !=(x, y)
    ≠(x,y)

Not-equals comparison operator. Always gives the opposite answer as `==`. New types should generally not implement this, and rely on the fallback definition `!=(x,y) = !(x==y)` instead.
"""
Base.(:(!=))

doc"""
    @spawn

Creates a closure around an expression and runs it on an automatically-chosen process, returning a `RemoteRef` to the result.
"""
:@spawn

doc"""
    findfirst(A)

Return the index of the first non-zero value in `A` (determined by `A[i]!=0`).
"""
findfirst(A)

doc"""
    findfirst(A,v)

Return the index of the first element equal to `v` in `A`.
"""
findfirst(A,v)

doc"""
    findfirst(predicate, A)

Return the index of the first element of `A` for which `predicate` returns `true`.
"""
findfirst

doc"""
    factorize(A)

Compute a convenient factorization (including LU, Cholesky, Bunch-Kaufman, LowerTriangular, UpperTriangular) of `A`, based upon the type of the input matrix. The return value can then be reused for efficient solving of multiple systems. For example: `A=factorize(A); x=A\b; y=A\C`.
"""
factorize

doc"""
    promote_rule(type1, type2)

Specifies what type should be used by `promote` when given values of types `type1` and `type2`. This function should not be called directly, but should have definitions added to it for new types as appropriate.
"""
promote_rule

doc"""
    mtime(file)

Equivalent to `stat(file).mtime`
"""
mtime

doc"""
    logspace(start, stop, n=50)

Construct a vector of `n` logarithmically spaced numbers from `10^start` to `10^stop`.
"""
logspace

doc"""
    @gensym

Generates a gensym symbol for a variable. For example, `@gensym x y` is transformed into `x = gensym("x"); y = gensym("y")`.
"""
:@gensym

doc"""
    sumabs2(itr)

Sum squared absolute values of all elements in a collection. This is equivalent to `sum(abs2(itr))` but faster.
"""
sumabs2(itr)

doc"""
    sumabs2(A, dims)

Sum squared absolute values of elements of an array over the given dimensions.
"""
sumabs2(A,dims)

doc"""
```rst
..  uperm(file)

Gets the permissions of the owner of the file as a bitfield of

==== =====================
 01   Execute Permission
 02   Write Permission
 04   Read Permission
==== =====================

For allowed arguments, see ``stat``.
```
"""
uperm

doc"""
    run(command)

Run a command object, constructed with backticks. Throws an error if anything goes wrong, including the process exiting with a non-zero status.
"""
run

doc"""
    showall(x)

Similar to `show`, except shows all elements of arrays.
"""
showall

doc"""
    mimewritable(mime, x)

Returns a boolean value indicating whether or not the object `x` can be written as the given `mime` type. (By default, this is determined automatically by the existence of the corresponding `writemime` function for `typeof(x)`.)
"""
mimewritable

doc"""
    vecdot(x, y)

For any iterable containers `x` and `y` (including arrays of any dimension) of numbers (or any element type for which `dot` is defined), compute the Euclidean dot product (the sum of `dot(x[i],y[i])`) as if they were vectors.
"""
vecdot

doc"""
    isprime(x::Integer) -> Bool

Returns `true` if `x` is prime, and `false` otherwise.

```jldoctest
julia> isprime(3)
true
```
"""
isprime(::Integer)

doc"""
    isprime(x::BigInt, [reps = 25]) -> Bool

Probabilistic primality test. Returns `true` if `x` is prime; and
`false` if `x` is not prime with high probability. The false positive
rate is about `0.25^reps`. `reps = 25` is considered safe for
cryptographic applications (Knuth, Seminumerical Algorithms).

```jldoctest
julia> isprime(big(3))
true
```
"""
isprime(::BigInt, ?)

doc"""
    >(x, y)

Greater-than comparison operator. Generally, new types should implement `<` instead of this function, and rely on the fallback definition `>(x,y) = y<x`.
"""
Base.(:(>))

doc"""
    match(r::Regex, s::AbstractString[, idx::Integer[, addopts]])

Search for the first match of the regular expression `r` in `s` and return a `RegexMatch` object containing the match, or nothing if the match failed. The matching substring can be retrieved by accessing `m.match` and the captured sequences can be retrieved by accessing `m.captures` The optional `idx` argument specifies an index at which to start the search.
"""
match

doc"""
    nprocs()

Get the number of available processes.
"""
nprocs

doc"""
    Ac_mul_B(A, B)

For matrices or vectors $A$ and $B$, calculates $Aᴴ⋅B$
"""
Ac_mul_B

doc"""
```rst
..  qrfact!(A [,pivot=Val{false}])

``qrfact!`` is the same as :func:`qrfact` when ``A`` is a subtype of ``StridedMatrix``, but saves space by overwriting the input ``A``, instead of creating a copy.
```
"""
qrfact!

doc"""
    At_rdiv_B(A, B)

For matrices or vectors $A$ and $B$, calculates $Aᵀ / B$
"""
At_rdiv_B

doc"""
    coth(x)

Compute the hyperbolic cotangent of `x`
"""
coth

doc"""
    conj(z)

Compute the complex conjugate of a complex number `z`
"""
conj

doc"""
    conj!(A)

Convert an array to its complex conjugate in-place
"""
conj!

doc"""
    start(iter) -> state

Get initial iteration state for an iterable object
"""
start

doc"""
    div(x, y)
    ÷(x, y)

The quotient from Euclidean division. Computes `x/y`, truncated to an integer.
"""
div

doc"""
    relpath(path::AbstractString, startpath::AbstractString = ".") -> AbstractString

Return a relative filepath to path either from the current directory or from an optional start directory. This is a path computation: the filesystem is not accessed to confirm the existence or nature of path or startpath.
"""
relpath

doc"""
    readavailable(stream)

Read all available data on the stream, blocking the task only if no data is available. The result is a `Vector{UInt8,1}`.
"""
readavailable

doc"""
    remotecall(id, func, args...)

Call a function asynchronously on the given arguments on the specified process. Returns a `RemoteRef`.
"""
remotecall

doc"""
    slicedim(A, d, i)

Return all the data of `A` where the index for dimension `d` equals `i`. Equivalent to `A[:,:,...,i,:,:,...]` where `i` is in position `d`.
"""
slicedim

doc"""
    isa(x, type) -> Bool

Determine whether `x` is of the given `type`.
"""
isa

doc"""
    <=(x, y)
    ≤(x,y)

Less-than-or-equals comparison operator.
"""
Base.(:(<=))

doc"""
    ProcessExitedException()

After a client Julia process has exited, further attempts to reference the dead child will throw this exception.
"""
ProcessExitedException

doc"""
    unsafe_load(p::Ptr{T},i::Integer)

Load a value of type `T` from the address of the ith element (1-indexed) starting at `p`. This is equivalent to the C expression `p[i-1]`.

The `unsafe` prefix on this function indicates that no validation is performed on the pointer `p` to ensure that it is valid. Incorrect usage may segfault your program or return garbage answers, in the same manner as C.
"""
unsafe_load

doc"""
    catch_backtrace()

Get the backtrace of the current exception, for use within `catch` blocks.
"""
catch_backtrace

doc"""
    airyx(k,x)

scaled `k`th derivative of the Airy function, return $\operatorname{Ai}(x) e^{\frac{2}{3} x \sqrt{x}}$
for `k == 0 || k == 1`, and $\operatorname{Ai}(x) e^{- \left| \operatorname{Re} \left( \frac{2}{3} x \sqrt{x} \right) \right|}$
for `k == 2 || k == 3`.
"""
airyx

doc"""
    get_zero_subnormals() -> Bool

Returns `false` if operations on subnormal floating-point values ("denormals") obey rules for IEEE arithmetic, and ``true`` if they might be converted to zeros.
"""
get_zero_subnormals

doc"""
    cos(x)

Compute cosine of `x`, where `x` is in radians
"""
cos

doc"""
    base64encode(writefunc, args...)
    base64encode(args...)

Given a `write`-like function `writefunc`, which takes an I/O stream as its first argument, `base64(writefunc, args...)` calls `writefunc` to write `args...` to a base64-encoded string, and returns the string. `base64(args...)` is equivalent to `base64(write, args...)`: it converts its arguments into bytes using the standard `write` functions and returns the base64-encoded string.
"""
base64encode

doc"""
    Condition()

Create an edge-triggered event source that tasks can wait for. Tasks that call `wait` on a `Condition` are suspended and queued. Tasks are woken up when `notify` is later called on the `Condition`. Edge triggering means that only tasks waiting at the time `notify` is called can be woken up. For level-triggered notifications, you must keep extra state to keep track of whether a notification has happened. The `Channel` type does this, and so can be used for level-triggered events.
"""
Condition

doc"""
```rst
..  filt!(out, b, a, x, [si])

Same as :func:`filt` but writes the result into the ``out`` argument,
which may alias the input ``x`` to modify it in-place.
```
"""
filt!

doc"""
    ascii(::Array{UInt8,1})

Create an ASCII string from a byte array.
"""
ascii(::Vector{UInt8})

doc"""
    ascii(s)

Convert a string to a contiguous ASCII string (all characters must be valid ASCII characters).
"""
ascii(s)

doc"""
    ascii(::Ptr{UInt8}, [length])

Create an ASCII string from the address of a C (0-terminated) string encoded in ASCII. A copy is made; the ptr can be safely freed. If `length` is specified, the string does not have to be 0-terminated.
"""
ascii(::Ptr{UInt8},?)

doc"""
    maxabs(itr)

Compute the maximum absolute value of a collection of values.
"""
maxabs(itr)

doc"""
    maxabs(A, dims)

Compute the maximum absolute values over given dimensions.
"""
maxabs(A,dims)

doc"""
    done(iter, state) -> Bool

Test whether we are done iterating
"""
done

doc"""
```rst
..  convert(T, x)

Convert ``x`` to a value of type ``T``.

If ``T`` is an ``Integer`` type, an :exc:`InexactError` will be raised if
``x`` is not representable by ``T``, for example if ``x`` is not
integer-valued, or is outside the range supported by ``T``.

.. doctest::

   julia> convert(Int, 3.0)
   3

   julia> convert(Int, 3.5)
   ERROR: InexactError()
    in convert at int.jl:209

If ``T`` is a :obj:`AbstractFloat` or :obj:`Rational` type, then it will return
the closest value to ``x`` representable by ``T``.

.. doctest::

   julia> x = 1/3
   0.3333333333333333

   julia> convert(Float32, x)
   0.33333334f0

   julia> convert(Rational{Int32}, x)
   1//3

   julia> convert(Rational{Int64}, x)
   6004799503160661//18014398509481984
```
"""
convert

doc"""
    A_ldiv_Bt(A, B)

For matrices or vectors $A$ and $B$, calculates $A$ \ $Bᵀ$
"""
A_ldiv_Bt

doc"""
    applicable(f, args...) -> Bool

Determine whether the given generic function has a method applicable to the given arguments.

```jldoctest
julia> function f(x, y)
           x + y
       end;

julia> applicable(f, 1)
false

julia> applicable(f, 1, 2)
true
```
"""
applicable

doc"""
    xdump(x)

Show all structure of a value, including all fields of objects.
"""
xdump

doc"""
    Base.process_messages(instrm::AsyncStream, outstrm::AsyncStream)

Called by cluster managers using custom transports. It should be called when the custom transport implementation receives the first message from a remote worker. The custom transport must manage a logical connection to the remote worker and provide two `AsyncStream` objects, one for incoming messages and the other for messages addressed to the remote worker.
"""
Base.process_messages

doc"""
    RandomDevice()

Create a `RandomDevice` RNG object. Two such objects will always generate different streams of random numbers.
"""
RandomDevice

doc"""
    fma(x, y, z)

Computes `x*y+z` without rounding the intermediate result `x*y`. On some systems this is significantly more expensive than `x*y+z`. `fma` is used to improve accuracy in certain algorithms. See `muladd`.
"""
fma

doc"""

    eigvals(A,[irange,][vl,][vu]) -> values

Returns the eigenvalues of `A`. If `A` is `Symmetric`, `Hermitian` or `SymTridiagonal`,
it is possible to calculate only a subset of the eigenvalues by specifying either a
`UnitRange` `irange` covering indices of the sorted eigenvalues, or a pair `vl` and `vu`
for the lower and upper boundaries of the eigenvalues.

For general non-symmetric matrices it is possible to specify how the matrix is balanced
before the eigenvector calculation. The option `permute=true` permutes the matrix to
become closer to upper triangular, and `scale=true` scales the matrix by its diagonal
elements to make rows and columns moreequal in norm. The default is `true` for both
options.
"""
eigvals

doc"""
    A_ldiv_Bc(A, B)

For matrices or vectors $A$ and $B$, calculates $A$ \ $Bᴴ$
"""
A_ldiv_Bc

doc"""
```rst
..  escape_string(str::AbstractString) -> AbstractString

General escaping of traditional C and Unicode escape sequences. See :func:`print_escaped` for more general escaping.
```
"""
escape_string

doc"""
    significand(x)

Extract the `significand(s)` (a.k.a. mantissa), in binary representation, of
a floating-point number or array. If `x` is a non-zero finite number,
than the result will be a number of the same type on the interval
$[1,2)$. Otherwise `x` is returned.

```jldoctest
julia> significand(15.2)/15.2
0.125

julia> significand(15.2)*8
15.2
```
"""
significand

doc"""
    pointer_from_objref(object_instance)

Get the memory address of a Julia object as a `Ptr`. The existence of the resulting `Ptr` will not protect the object from garbage collection, so you must ensure that the object remains referenced for the whole time that the `Ptr` will be used.
"""
pointer_from_objref

doc"""
    cumsum_kbn(A, [dim])

Cumulative sum along a dimension, using the Kahan-Babuska-Neumaier compensated summation algorithm for additional accuracy. The dimension defaults to 1.
"""
cumsum_kbn

doc"""
    cmp(x,y)

Return -1, 0, or 1 depending on whether `x` is less than, equal to, or greater than `y`, respectively. Uses the total order implemented by `isless`. For floating-point numbers, uses `<` but throws an error for unordered arguments.
"""
cmp

doc"""
    tand(x)

Compute tangent of `x`, where `x` is in degrees
"""
tand

doc"""
    issorted(v, [by=<transform>,] [lt=<comparison>,] [rev=false])

Test whether a vector is in sorted order. The `by`, `lt` and `rev` keywords modify what order is considered to be sorted just as they do for `sort`.
"""
issorted

doc"""
    set_bigfloat_precision(x::Int64)

Set the precision (in bits) to be used to `BigFloat` arithmetic.
"""
set_bigfloat_precision

doc"""
    isbits(T)

Return `true` if `T` is a "plain data" type, meaning it is immutable and
contains no references to other values. Typical examples are numeric types such
as `UInt8`, `Float64`, and `Complex{Float64}`.

```jldoctest
julia> isbits(Complex{Float64})
true

julia> isbits(Complex)
false
```
"""
isbits

doc"""
    findlast(A)

Return the index of the last non-zero value in `A` (determined by `A[i]!=0`).
"""
findlast(A)

doc"""
    findlast(A, v)

Return the index of the last element equal to `v` in `A`.
"""
findlast(A,v)

doc"""
    findlast(predicate, A)

Return the index of the last element of `A` for which `predicate` returns `true`.
"""
findlast(::Function, A)

doc"""
    @elapsed

A macro to evaluate an expression, discarding the resulting value, instead returning the number of seconds it took to execute as a floating-point number.
"""
:@elapsed

doc"""
    findnext(A, i)

Find the next index >= `i` of a non-zero element of `A`, or `0` if not found.
"""
findnext

doc"""
    findnext(predicate, A, i)

Find the next index >= `i` of an element of `A` for which `predicate` returns `true`, or `0` if not found.
"""
findnext(::Function,A,i)

doc"""
    findnext(A, v, i)

Find the next index >= `i` of an element of `A` equal to `v` (using `==`), or `0` if not found.
"""
findnext(A,v,i)

doc"""
    fetch(x)

Waits and fetches a value from `x` depending on the type of `x`. Does not remove the item fetched:

* `RemoteRef`: Wait for and get the value of a remote reference. If the remote value is an exception, throws a `RemoteException` which captures the remote exception and backtrace.
* `Channel` : Wait for and get the first available item from the channel.
"""
fetch

doc"""
    angle(z)

Compute the phase angle in radians of a complex number `z`
"""
angle

doc"""
```rst
..  tic()

Set a timer to be read by the next call to :func:`toc` or :func:`toq`. The macro call ``@time expr`` can also be used to time evaluation.
```
"""
tic

doc"""
    LoadError(file::AbstractString, line::Int, error)

An error occurred while `include`ing, `require`ing, or `using` a file. The error specifics should be available in the `.error` field.
"""
LoadError

doc"""
    InitError(mod::Symbol, error)

An error occurred when running a module's `__init__` function. The actual error thrown is available in the `.error` field.
"""
InitError

doc"""
    vec(Array) -> Vector

Vectorize an array using column-major convention.
"""
vec

doc"""
    copy!(dest, src)

Copy all elements from collection `src` to array `dest`. Returns `dest`.
"""
copy!(dest,src)

doc"""
    copy!(dest, do, src, so, N)

Copy `N` elements from collection `src` starting at offset `so`, to array `dest` starting at offset `do`. Returns `dest`.
"""
copy!(dest,d,src,so,N)

doc"""
    broadcast(f, As...)

Broadcasts the arrays `As` to a common size by expanding singleton dimensions, and returns an array of the results `f(as...)` for each position.
"""
broadcast

doc"""
```rst
..  eigvecs(A, [eigvals,][permute=true,][scale=true]) -> Matrix

Returns a matrix ``M`` whose columns are the eigenvectors of ``A``.
(The ``k``\ th eigenvector can be obtained from the slice ``M[:, k]``.)
The ``permute`` and ``scale`` keywords are the same as for :func:`eigfact`.

For :class:`SymTridiagonal` matrices, if the optional vector of eigenvalues
``eigvals`` is specified, returns the specific corresponding eigenvectors.
```
"""
eigvecs

doc"""
    ntoh(x)

Converts the endianness of a value from Network byte order (big-endian) to that used by the Host.
"""
ntoh

doc"""
```rst
..  qrfact(A [,pivot=Val{false}]) -> F

Computes the QR factorization of ``A``. The return type of ``F`` depends on the element type of ``A`` and whether pivoting is specified (with ``pivot==Val{true}``).

================ ================= ============== =====================================
Return type      ``eltype(A)``     ``pivot``      Relationship between ``F`` and ``A``
================ ================= ============== =====================================
``QR``           not ``BlasFloat`` either          ``A==F[:Q]*F[:R]``
``QRCompactWY``  ``BlasFloat``     ``Val{false}``  ``A==F[:Q]*F[:R]``
``QRPivoted``    ``BlasFloat``     ``Val{true}``   ``A[:,F[:p]]==F[:Q]*F[:R]``
================ ================= ============== =====================================

``BlasFloat`` refers to any of: ``Float32``, ``Float64``, ``Complex64`` or ``Complex128``.

The individual components of the factorization ``F`` can be accessed by indexing:

=========== ============================================= ================== ===================== ==================
Component   Description                                   ``QR``             ``QRCompactWY``       ``QRPivoted``
=========== ============================================= ================== ===================== ==================
``F[:Q]``   ``Q`` (orthogonal/unitary) part of ``QR``      ✓ (``QRPackedQ``)  ✓ (``QRCompactWYQ``)  ✓ (``QRPackedQ``)
``F[:R]``   ``R`` (upper right triangular) part of ``QR``  ✓                  ✓                     ✓
``F[:p]``   pivot ``Vector``                                                                        ✓
``F[:P]``   (pivot) permutation ``Matrix``                                                          ✓
=========== ============================================= ================== ===================== ==================

The following functions are available for the ``QR`` objects: ``size``, ``\``. When ``A`` is rectangular, ``\`` will return a least squares solution and if the solution is not unique, the one with smallest norm is returned.

Multiplication with respect to either thin or full ``Q`` is allowed, i.e. both ``F[:Q]*F[:R]`` and ``F[:Q]*A`` are supported. A ``Q`` matrix can be converted into a regular matrix with :func:`full` which has a named argument ``thin``.

.. note::

   ``qrfact`` returns multiple types because LAPACK uses several representations that minimize the memory storage requirements of products of Householder elementary reflectors, so that the ``Q`` and ``R`` matrices can be stored compactly rather as two separate dense matrices.

   The data contained in ``QR`` or ``QRPivoted`` can be used to construct the ``QRPackedQ`` type, which is a compact representation of the rotation matrix:

   .. math::

      Q = \prod_{i=1}^{\min(m,n)} (I - \tau_i v_i v_i^T)

   where :math:`\tau_i` is the scale factor and :math:`v_i` is the projection vector associated with the :math:`i^{th}` Householder elementary reflector.

   The data contained in ``QRCompactWY`` can be used to construct the ``QRCompactWYQ`` type, which is a compact representation of the rotation matrix

   .. math::

      Q = I + Y T Y^T

   where ``Y`` is :math:`m \times r` lower trapezoidal and ``T`` is :math:`r \times r` upper triangular. The *compact WY* representation [Schreiber1989]_ is not to be confused with the older, *WY* representation [Bischof1987]_. (The LAPACK documentation uses ``V`` in lieu of ``Y``.)

.. [Bischof1987] C Bischof and C Van Loan, "The WY representation for products
   of Householder matrices", SIAM J Sci Stat Comput 8 (1987), s2-s13.
   `doi:10.1137/0908009 <http://dx.doi.org/10.1137/0908009>`_
.. [Schreiber1989] R Schreiber and C Van Loan, "A storage-efficient WY
   representation for products of Householder transformations",
   SIAM J Sci Stat Comput 10 (1989), 53-57.
   `doi:10.1137/0910005 <http://dx.doi.org/10.1137/0910005>`_
```
"""
qrfact(A,?)


doc"""
```rst
..  qrfact(A) -> SPQR.Factorization

Compute the QR factorization of a sparse matrix ``A``. A fill-reducing permutation is used. The main application of this type is to solve least squares problems with ``\``. The function calls the C library SPQR and a few additional functions from the library are wrapped but not exported.
```
"""
qrfact(A)

doc"""
    +(x, y...)

Addition operator. `x+y+z+...` calls this function with all arguments, i.e. `+(x, y, z, ...)`.
"""
+

doc"""
    identity(x)

The identity function. Returns its argument.
"""
identity

doc"""
    iseven(x::Integer) -> Bool

Returns `true` is `x` is even (that is, divisible by 2), and `false` otherwise.

```jldoctest
julia> iseven(9)
false

julia> iseven(10)
true
```
"""
iseven

doc"""
    setindex!(A, X, inds...)

Store values from array `X` within some subset of `A` as specified by `inds`.
"""
setindex!(A::AbstractArray,X,inds...)

doc"""
    setindex!(collection, value, key...)

Store the given value at the given key or index within a collection. The syntax `a[i,j,...] = x` is converted by the compiler to `(setindex!(a, x, i, j, ...); x)`.
"""
setindex!(collection,value,key...)

doc"""
    signif(x, digits, [base])

Rounds (in the sense of `round`) `x` so that there are `digits` significant digits, under a base `base` representation, default 10. E.g., `signif(123.456, 2)` is `120.0`, and `signif(357.913, 4, 2)` is `352.0`.
"""
signif

doc"""
    nextpow2(n)

The smallest power of two not less than `n`. Returns 0 for `n==0`, and returns `-nextpow2(-n)` for negative arguments.
"""
nextpow2

doc"""
    ipermute!(v, p)

Like permute!, but the inverse of the given permutation is applied.
"""
ipermute!

doc"""
```rst
..  full(S)

Convert a sparse matrix ``S`` into a dense matrix.
```
"""
full(::AbstractSparseMatrix)

doc"""
```rst
..  full(F)

Reconstruct the matrix ``A`` from the factorization ``F=factorize(A)``.
```
"""
full(F)

doc"""
```rst
..  full(QRCompactWYQ[, thin=true]) -> Matrix

Converts an orthogonal or unitary matrix stored as a ``QRCompactWYQ``
object, i.e. in the compact WY format [Bischof1987]_, to a dense matrix.

Optionally takes a ``thin`` Boolean argument, which if ``true`` omits the
columns that span the rows of ``R`` in the QR factorization that are zero.
The resulting matrix is the ``Q`` in a thin QR factorization (sometimes
called the reduced QR factorization).  If ``false``, returns a ``Q`` that
spans all rows of ``R`` in its corresponding QR factorization.
```
"""
full(::LinAlg.QRCompactWYQ, ?)

doc"""
    map(f, c...) -> collection

Transform collection `c` by applying `f` to each element.
For multiple collection arguments, apply `f` elementwise.

```jldoctest
julia> map((x) -> x * 2, [1, 2, 3])
3-element Array{Int64,1}:
 2
 4
 6

julia> map(+, [1, 2, 3], [10, 20, 30])
3-element Array{Int64,1}:
 11
 22
 33
```
"""
map

doc"""
    @parallel

A parallel for loop of the form :

    @parallel [reducer] for var = range
        body
    end

The specified range is partitioned and locally executed across all workers. In case an optional reducer function is specified, `@parallel` performs local reductions on each worker with a final reduction on the calling process.

Note that without a reducer function, `@parallel` executes asynchronously, i.e. it spawns independent tasks on all available workers and returns immediately without waiting for completion. To wait for completion, prefix the call with `@sync`, like :

    @sync @parallel for var = range
        body
    end
"""
:@parallel

doc"""
    throw(e)

Throw an object as an exception
"""
throw

doc"""
    isxdigit(c::Union{Char,AbstractString}) -> Bool

Tests whether a character is a valid hexadecimal digit, or whether this is true for all elements of a string.
"""
isxdigit

doc"""
    fill(x, dims)

Create an array filled with the value `x`. For example, `fill(1.0, (10,10))` returns a 10x10 array of floats, with each element initialized to `1.0`.

If `x` is an object reference, all elements will refer to the same object. `fill(Foo(), dims)` will return an array filled with the result of evaluating `Foo()` once.
"""
fill

doc"""
    rol!(dest::BitArray{1}, src::BitArray{1}, i::Integer) -> BitArray{1}

Performs a left rotation operation on `src` and put the result into `dest`.
"""
rol!(::BitArray,::BitArray,::Integer)

doc"""
    rol!(B::BitArray{1}, i::Integer) -> BitArray{1}

Performs a left rotation operation on `B`.
"""
rol!(::BitArray,::Integer)

doc"""
```rst
..  issubset(a, b)
           ⊆(a,b) -> Bool
           ⊈(a,b) -> Bool
           ⊊(a,b) -> Bool

Determine whether every element of ``a`` is also in ``b``, using :func:`in`.
```
"""
issubset(a,b)

doc"""
```rst
..  issubset(A, S) -> Bool
             ⊆(A,S) -> Bool

Return ``true`` if ``A`` is a subset of or equal to ``S``.
```
"""
issubset

doc"""
    istriu(A) -> Bool

Test whether a matrix is upper triangular.
"""
istriu

doc"""
```rst
..  map!(function, collection)

In-place version of :func:`map`.
```
"""
map!(f,collection)

doc"""
```rst
..  map!(function, destination, collection...)

Like :func:`map`, but stores the result in ``destination`` rather than a
new collection. ``destination`` must be at least as large as the first
collection.
```
"""
map!(f,destination,collection...)

doc"""
```rst
..  unescape_string(s::AbstractString) -> AbstractString

General unescaping of traditional C and Unicode escape sequences. Reverse of :func:`escape_string`. See also :func:`print_unescaped`.
```
"""
unescape_string

doc"""
    redirect_stdout()

Create a pipe to which all C and Julia level `STDOUT` output will be redirected. Returns a tuple `(rd,wr)` representing the pipe ends. Data written to `STDOUT` may now be read from the rd end of the pipe. The wr end is given for convenience in case the old `STDOUT` object was cached by the user and needs to be replaced elsewhere.
"""
redirect_stdout

doc"""
    redirect_stdout(stream)

Replace `STDOUT` by stream for all C and Julia level output to `STDOUT`. Note that `stream` must be a TTY, a `Pipe` or a `TCPSocket`.
"""
redirect_stdout(stream)

doc"""
    print_with_color(color::Symbol, [io], strings...)

Print strings in a color specified as a symbol, for example `:red` or `:blue`.
"""
print_with_color

doc"""
    stringmime(mime, x)

Returns an `AbstractString` containing the representation of `x` in the requested `mime` type. This is similar to `reprmime` except that binary data is base64-encoded as an ASCII string.
"""
stringmime

doc"""
    ischardev(path) -> Bool

Returns `true` if `path` is a character device, `false` otherwise.
"""
ischardev

doc"""
    zero(x)

Get the additive identity element for the type of `x` (`x` can also specify the type itself).
"""
zero

doc"""
    any(itr) -> Bool

Test whether any elements of a boolean collection are `true`.
"""
any(itr)

doc"""
    any(A, dims)

Test whether any values along the given dimensions of an array are `true`.
"""
any(::AbstractArray,dims)

doc"""
    any(p, itr) -> Bool

Determine whether predicate `p` returns `true` for any elements of `itr`.
"""
any(p,itr)

doc"""
    cosc(x)

Compute $\cos(\pi x) / x - \sin(\pi x) / (\pi x^2)$ if $x \neq 0$, and $0$
if $x = 0$. This is the derivative of `sinc(x)`.
"""
cosc

doc"""
    getkey(collection, key, default)

Return the key matching argument `key` if one exists in `collection`, otherwise return `default`.
"""
getkey

doc"""
    At_ldiv_Bt(A, B)

For matrices or vectors $A$ and $B$, calculates $Aᵀ$ \ $Bᵀ$
"""
At_ldiv_Bt

doc"""
    Ac_mul_Bc(A, B)

For matrices or vectors $A$ and $B$, calculates $Aᴴ Bᴴ$
"""
Ac_mul_Bc

doc"""
    acotd(x)

Compute the inverse cotangent of `x`, where the output is in degrees
"""
acotd

doc"""
    zeros(type, dims)

Create an array of all zeros of specified type. The type defaults to Float64 if not specified.
"""
zeros(t,dims)

doc"""
    zeros(A)

Create an array of all zeros with the same element type and shape as `A`.
"""
zeros(A)

doc"""
    symbol(x...) -> Symbol

Create a `Symbol` by concatenating the string representations of the arguments together.
"""
symbol

doc"""
    zeta(s)

Riemann zeta function $\zeta(s)$.
"""
zeta(s)

doc"""
    zeta(s, z)

Hurwitz zeta function $\zeta(s, z)$.  (This is equivalent to
the Riemann zeta function $\zeta(s)$ for the case of `z=1`.)
"""
zeta(s,z)

doc"""
    A_mul_Bt(A, B)

For matrices or vectors $A$ and $B$, calculates $A⋅Bᵀ$
"""
A_mul_Bt

doc"""
    vecnorm(A, [p])

For any iterable container `A` (including arrays of any dimension) of numbers (or any element type for which `norm` is defined), compute the `p`-norm (defaulting to `p=2`) as if `A` were a vector of the corresponding length.

For example, if `A` is a matrix and `p=2`, then this is equivalent to the Frobenius norm.
"""
vecnorm

doc"""
    isvalid(value) -> Bool

Returns `true` if the given value is valid for its type, which currently can be one of `Char`, `ASCIIString`, `UTF8String`, `UTF16String`, or `UTF32String`.
"""
isvalid(value)

doc"""
    isvalid(T, value) -> Bool

Returns `true` if the given value is valid for that type. Types currently can be `Char`, `ASCIIString`, `UTF8String`, `UTF16String`, or `UTF32String` Values for `Char` can be of type `Char` or `UInt32` Values for `ASCIIString` and `UTF8String` can be of that type, or `Vector{UInt8}` Values for `UTF16String` can be `UTF16String` or `Vector{UInt16}` Values for `UTF32String` can be `UTF32String`, `Vector{Char}` or `Vector{UInt32}`
"""
isvalid(T,value)

doc"""
    isvalid(str, i)

Tells whether index `i` is valid for the given string
"""
isvalid(::AbstractString,i)

doc"""
```rst
..  esc(e::ANY)

Only valid in the context of an ``Expr`` returned from a macro. Prevents the macro hygiene pass from turning embedded variables into gensym variables. See the :ref:`man-macros`
section of the Metaprogramming chapter of the manual for more details and examples.
```
"""
esc

doc"""
    bitbroadcast(f, As...)

Like `broadcast`, but allocates a `BitArray` to store the result, rather then an `Array`.
"""
bitbroadcast

doc"""
    set_zero_subnormals(yes::Bool) -> Bool

If `yes` is `false`, subsequent floating-point operations follow rules for IEEE arithmetic on subnormal values ("denormals"). Otherwise, floating-point operations are permitted (but not required) to convert subnormal inputs or outputs to zero. Returns `true` unless `yes==true` but the hardware does not support zeroing of subnormal numbers.

`set_zero_subnormals(true)` can speed up some computations on some hardware. However, it can break identities such as `(x-y==0) == (x==y)`.
"""
set_zero_subnormals

doc"""
    take(iter, n)

An iterator that generates at most the first `n` elements of `iter`.
"""
take

doc"""
    combinations(array, n)

Generate all combinations of `n` elements from an indexable object. Because the number of combinations can be very large, this function returns an iterator object. Use `collect(combinations(array,n))` to get an array of all combinations.
"""
combinations

doc"""
    frexp(val)

Return `(x,exp)` such that `x` has a magnitude in the interval $[1/2, 1)$ or 0,
and val = $x \times 2^{exp}$.
"""
frexp

doc"""
    sortcols(A, [alg=<algorithm>,] [by=<transform>,] [lt=<comparison>,] [rev=false])

Sort the columns of matrix `A` lexicographically.
"""
sortcols

doc"""
    rsplit(string, [chars]; limit=0, keep=true)

Similar to `split`, but starting from the end of the string.
"""
rsplit

doc"""
    trace(M)

Matrix trace
"""
trace

doc"""
    runtests([tests=["all"] [, numcores=iceil(CPU_CORES/2) ]])

Run the Julia unit tests listed in `tests`, which can be either a string or an array of strings, using `numcores` processors. (not exported)
"""
runtests

doc"""
    time_ns()

Get the time in nanoseconds. The time corresponding to 0 is undefined, and wraps every 5.8 years.
"""
time_ns

doc"""
    exponent(x) -> Int

Get the exponent of a normalized floating-point number.
"""
exponent

doc"""
    rsearchindex(string, substring, [start])

Similar to `rsearch`, but return only the start index at which the substring is found, or `0` if it is not.
"""
rsearchindex

doc"""
    muladd(x, y, z)

Combined multiply-add, computes `x*y+z` in an efficient manner. This may on some systems be equivalent to `x*y+z`, or to `fma(x,y,z)`. `muladd` is used to improve performance. See `fma`.
"""
muladd

doc"""
    unsigned(x) -> Unsigned

Convert a number to an unsigned integer. If the argument is signed, it is reinterpreted as unsigned without checking for negative values.
"""
unsigned

doc"""
```rst
..  eigfact(A,[irange,][vl,][vu,][permute=true,][scale=true]) -> Eigen

Computes the eigenvalue decomposition of ``A``, returning an ``Eigen``
factorization object ``F`` which contains the eigenvalues in ``F[:values]``
and the eigenvectors in the columns of the matrix ``F[:vectors]``.
(The ``k``\ th eigenvector can be obtained from the slice ``F[:vectors][:, k]``.)

The following functions are available for ``Eigen`` objects: ``inv``,
``det``.

If ``A`` is :class:`Symmetric`, :class:`Hermitian` or :class:`SymTridiagonal`,
it is possible to calculate only a subset of the eigenvalues by specifying
either a :class:`UnitRange` ``irange`` covering indices of the sorted
eigenvalues or a pair ``vl`` and ``vu`` for the lower and upper boundaries
of the eigenvalues.

For general nonsymmetric matrices it is possible to specify how the matrix
is balanced before the eigenvector calculation. The option ``permute=true``
permutes the matrix to become closer to upper triangular, and ``scale=true``
scales the matrix by its diagonal elements to make rows and columns more
equal in norm. The default is ``true`` for both options.
```
"""
eigfact(A,?,?,?,?)

doc"""
```rst
..  eigfact(A, B) -> GeneralizedEigen

Computes the generalized eigenvalue decomposition of ``A`` and ``B``,
returning a ``GeneralizedEigen`` factorization object ``F`` which contains
the generalized eigenvalues in ``F[:values]`` and the generalized
eigenvectors in the columns of the matrix ``F[:vectors]``. (The ``k``\ th
generalized eigenvector can be obtained from the slice ``F[:vectors][:,
k]``.)
```
"""
eigfact(A,B)

doc"""
    rowvals(A)

Return a vector of the row indices of `A`, and any modifications to the returned vector will mutate `A` as well. Given the internal storage format of sparse matrices, providing access to how the row indices are stored internally can be useful in conjunction with iterating over structural nonzero values. See `nonzeros(A)` and `nzrange(A, col)`.
"""
rowvals

doc"""
    mkdir(path, [mode])

Make a new directory with name `path` and permissions `mode`. `mode` defaults to 0o777, modified by the current file creation mask.
"""
mkdir

doc"""
    bytestring(::Ptr{UInt8}, [length])

Create a string from the address of a C (0-terminated) string encoded in ASCII or UTF-8. A copy is made; the ptr can be safely freed. If `length` is specified, the string does not have to be 0-terminated.
"""
bytestring(::Ptr{UInt8},?)

doc"""
    bytestring(s)

Convert a string to a contiguous byte array representation appropriate for passing it to C functions. The string will be encoded as either ASCII or UTF-8.
"""
bytestring(s)

doc"""
    midpoints(e)

Compute the midpoints of the bins with edges `e`. The result is a vector/range of length `length(e) - 1`. Note: Julia does not ignore `NaN` values in the computation.
"""
midpoints

doc"""
    .+(x, y)

Element-wise addition operator.
"""
Base.(:(.+))

doc"""
    reverseind(v, i)

Given an index `i` in `reverse(v)`, return the corresponding index in `v` so that `v[reverseind(v,i)] == reverse(v)[i]`. (This can be nontrivial in the case where `v` is a Unicode string.)
"""
reverseind

doc"""
    nan(f)

Returns NaN (not-a-number) of the floating point type `f` or of the same floating point type as `f`
"""
nan

doc"""
    float(x)

Convert a number, array, or string to a `AbstractFloat` data type. For numeric data, the smallest suitable `AbstractFloat` type is used. Converts strings to `Float64`.
"""
float

doc"""
    include_dependency(path::AbstractString)

In a module, declare that the file specified by `path` (relative or absolute) is a dependency for precompilation; that is, the module will need to be recompiled if this file changes.

This is only needed if your module depends on a file that is not used via `include`. It has no effect outside of compilation.
"""
include_dependency

doc"""
    randn!([rng], A::Array{Float64,N})

Fill the array `A` with normally-distributed (mean 0, standard deviation 1) random numbers. Also see the rand function.
"""
randn!

doc"""
    ldexp(x, n)

Compute $x \times 2^n$.
"""
ldexp

doc"""
    quadgk(f, a,b,c...; reltol=sqrt(eps), abstol=0, maxevals=10^7, order=7, norm=vecnorm)

Numerically integrate the function `f(x)` from `a` to `b`, and optionally over additional intervals `b` to `c` and so on. Keyword options include a relative error tolerance `reltol` (defaults to `sqrt(eps)` in the precision of the endpoints), an absolute error tolerance `abstol` (defaults to 0), a maximum number of function evaluations `maxevals` (defaults to `10^7`), and the `order` of the integration rule (defaults to 7).

Returns a pair `(I,E)` of the estimated integral `I` and an estimated upper bound on the absolute error `E`. If `maxevals` is not exceeded then `E <= max(abstol, reltol*norm(I))` will hold. (Note that it is useful to specify a positive `abstol` in cases where `norm(I)` may be zero.)

The endpoints `a` etcetera can also be complex (in which case the integral is performed over straight-line segments in the complex plane). If the endpoints are `BigFloat`, then the integration will be performed in `BigFloat` precision as well (note: it is advisable to increase the integration `order` in rough proportion to the precision, for smooth integrands). More generally, the precision is set by the precision of the integration endpoints (promoted to floating-point types).

The integrand `f(x)` can return any numeric scalar, vector, or matrix type, or in fact any type supporting `+`, `-`, multiplication by real values, and a `norm` (i.e., any normed vector space). Alternatively, a different norm can be specified by passing a `norm`-like function as the `norm` keyword argument (which defaults to `vecnorm`).

\[Only one-dimensional integrals are provided by this function. For multi-dimensional integration (cubature), there are many different algorithms (often much better than simple nested 1d integrals) and the optimal choice tends to be very problem-dependent. See the Julia external-package listing for available algorithms for multidimensional integration or other specialized tasks (such as integrals of highly oscillatory or singular functions).\]

The algorithm is an adaptive Gauss-Kronrod integration technique: the integral in each interval is estimated using a Kronrod rule (`2*order+1` points) and the error is estimated using an embedded Gauss rule (`order` points). The interval with the largest error is then subdivided into two intervals and the process is repeated until the desired error tolerance is achieved.

These quadrature rules work best for smooth functions within each interval, so if your function has a known discontinuity or other singularity, it is best to subdivide your interval to put the singularity at an endpoint. For example, if `f` has a discontinuity at `x=0.7` and you want to integrate from 0 to 1, you should use `quadgk(f, 0,0.7,1)` to subdivide the interval at the point of discontinuity. The integrand is never evaluated exactly at the endpoints of the intervals, so it is possible to integrate functions that diverge at the endpoints as long as the singularity is integrable (for example, a `log(x)` or `1/sqrt(x)` singularity).

For real-valued endpoints, the starting and/or ending points may be infinite. (A coordinate transformation is performed internally to map the infinite interval to a finite one.)
"""
quadgk

doc"""
    hist(v[, n]) -> e, counts

Compute the histogram of `v`, optionally using approximately `n` bins. The return values are a range `e`, which correspond to the edges of the bins, and `counts` containing the number of elements of `v` in each bin. Note: Julia does not ignore `NaN` values in the computation.
"""
hist(v,n::Int=?)

doc"""
    hist(v, e) -> e, counts

Compute the histogram of `v` using a vector/range `e` as the edges for the bins. The result will be a vector of length `length(e) - 1`, such that the element at location `i` satisfies `sum(e[i] .< v .<= e[i+1])`. Note: Julia does not ignore `NaN` values in the computation.
"""
hist(v,e)

doc"""
    islower(c::Union{Char,AbstractString}) -> Bool

Tests whether a character is a lowercase letter, or whether this is true for all elements of a string. A character is classified as lowercase if it belongs to Unicode category Ll, Letter: Lowercase.
"""
islower

doc"""
```rst
..  nthperm!(v, k)

In-place version of :func:`nthperm`.
```
"""
nthperm!

doc"""
    cell(dims)

Construct an uninitialized cell array (heterogeneous array). `dims` can be either a tuple or a series of integer arguments.
"""
cell

doc"""
    readbytes(stream, nb=typemax(Int); all=true)

Read at most `nb` bytes from the stream, returning a `Vector{UInt8}` of the bytes read.

If `all` is `true` (the default), this function will block repeatedly trying to read all requested bytes, until an error or end-of-file occurs. If `all` is `false`, at most one `read` call is performed, and the amount of data returned is device-dependent. Note that not all stream types support the `all` option.
"""
readbytes

doc"""
```rst
..  eig(A,[irange,][vl,][vu,][permute=true,][scale=true]) -> D, V

Computes eigenvalues and eigenvectors of ``A``. See :func:`eigfact` for
details on the ``balance`` keyword argument.

.. doctest::

   julia> eig([1.0 0.0 0.0; 0.0 3.0 0.0; 0.0 0.0 18.0])
   ([1.0,3.0,18.0],
   3x3 Array{Float64,2}:
    1.0  0.0  0.0
    0.0  1.0  0.0
    0.0  0.0  1.0)

``eig`` is a wrapper around :func:`eigfact`, extracting all parts of the
factorization to a tuple; where possible, using :func:`eigfact` is
recommended.
```
"""
eig(A,?,?,?)

doc"""
```rst
..  eig(A, B) -> D, V

Computes generalized eigenvalues and vectors of ``A`` with respect to ``B``.

``eig`` is a wrapper around :func:`eigfact`, extracting all parts of the
factorization to a tuple; where possible, using :func:`eigfact` is
recommended.
```
"""
eig(A,B)

doc"""
    exp2(x)

Compute $2^x$.
"""
exp2

doc"""
    gcd(x,y)

Greatest common (positive) divisor (or zero if `x` and `y` are both zero).
"""
gcd

doc"""
    signbit(x)

Returns `true` if the value of the sign of `x` is negative, otherwise `false`.
"""
signbit

doc"""
    istaskstarted(task) -> Bool

Tell whether a task has started executing.
"""
istaskstarted

doc"""
    clamp(x, lo, hi)

Return `x` if `lo <= x <= hi`. If `x < lo`, return `lo`. If `x > hi`, return `hi`. Arguments are promoted to a common type. Operates elementwise over `x` if it is an array.
"""
clamp

doc"""
    cscd(x)

Compute the cosecant of `x`, where `x` is in degrees
"""
cscd

doc"""
    tryparse(type, str, [base])

Like `parse`, but returns a `Nullable` of the requested type. The result will be null if the string does not contain a valid number.
"""
tryparse

doc"""
    lexless(x, y)

Determine whether `x` is lexicographically less than `y`.
"""
lexless

doc"""
    all!(r, A)

Test whether all values in `A` along the singleton dimensions of `r` are `true`, and write results to `r`.
"""
all!

doc"""
    is_assigned_char(c) -> Bool

Returns `true` if the given char or integer is an assigned Unicode code point.
"""
is_assigned_char

doc"""
    exit([code])

Quit (or control-D at the prompt). The default exit code is zero, indicating that the processes completed successfully.
"""
exit

doc"""
    istext(m::MIME)

Determine whether a MIME type is text data.
"""
istext

doc"""
    merge!(collection, others...)

Update collection with pairs from the other collections
"""
merge!

doc"""
    realpath(path::AbstractString) -> AbstractString

Canonicalize a path by expanding symbolic links and removing "." and ".." entries.
"""
realpath

doc"""
    skipchars(stream, predicate; linecomment::Char)

Advance the stream until before the first character for which `predicate` returns `false`. For example `skipchars(stream, isspace)` will skip all whitespace. If keyword argument `linecomment` is specified, characters from that character through the end of a line will also be skipped.
"""
skipchars

doc"""
    realmin(T)

The smallest in absolute value non-subnormal value representable by the given floating-point DataType `T`.
"""
realmin

doc"""
    union!(s, iterable)

Union each element of `iterable` into set `s` in-place.
"""
union!

doc"""
    At_ldiv_B(A, B)

For matrices or vectors $A$ and $B$, calculates $Aᵀ$ \ $B$
"""
At_ldiv_B

doc"""
    dot(x, y)
    ⋅(x,y)

Compute the dot product. For complex vectors, the first vector is conjugated.
"""
dot

doc"""
    cond(M, [p])

Condition number of the matrix `M`, computed using the operator `p`-norm. Valid values for `p` are `1`, `2` (default), or `Inf`.
"""
cond

doc"""
    deepcopy(x)

Create a deep copy of `x`: everything is copied recursively, resulting in a fully independent object. For example, deep-copying an array produces a new array whose elements are deep copies of the original elements. Calling `deepcopy` on an object should generally have the same effect as serializing and then deserializing it.

As a special case, functions can only be actually deep-copied if they are anonymous, otherwise they are just copied. The difference is only relevant in the case of closures, i.e. functions which may contain hidden internal references.

While it isn't normally necessary, user-defined types can override the default `deepcopy` behavior by defining a specialized version of the function `deepcopy_internal(x::T, dict::ObjectIdDict)` (which shouldn't otherwise be used), where `T` is the type to be specialized for, and `dict` keeps track of objects copied so far within the recursion. Within the definition, `deepcopy_internal` should be used in place of `deepcopy`, and the `dict` variable should be updated as appropriate before returning.
"""
deepcopy

doc"""
    widen(type | x)

If the argument is a type, return a "larger" type (for numeric types, this will be
a type with at least as much range and precision as the argument, and usually more).
Otherwise the argument `x` is converted to `widen(typeof(x))`.

```jldoctest
julia> widen(Int32)
Int64

julia> widen(1.5f0)
1.5
```
"""
widen

doc"""
    @eval

Evaluate an expression and return the value.
"""
:@eval

doc"""
    eval([m::Module], expr::Expr)

Evaluate an expression in the given module and return the result. Every `Module` (except those defined with `baremodule`) has its own 1-argument definition of `eval`, which evaluates expressions in that module.
"""
eval

doc"""
```rst
..  Set([itr])

Construct a :obj:`Set` of the values generated by the given iterable object, or an empty set.
Should be used instead of :obj:`IntSet` for sparse integer sets, or for sets of arbitrary objects.
```
"""
Set

doc"""
    erf(x)

Compute the error function of `x`, defined by
$\frac{2}{\sqrt{\pi}} \int_0^x e^{-t^2} dt$
for arbitrary complex `x`.
"""
erf

doc"""
    lcm(x,y)

Least common (non-negative) multiple.
"""
lcm

doc"""
    isprint(c::Union{Char,AbstractString}) -> Bool

Tests whether a character is printable, including spaces, but not a control character. For strings, tests whether this is true for all elements of the string.
"""
isprint

doc"""
    splitdir(path::AbstractString) -> (AbstractString,AbstractString)

Split a path into a tuple of the directory name and file name.
"""
splitdir

doc"""
    sign(x)

Return zero if `x==0` and $x/|x|$ otherwise (i.e., ±1 for real `x`).
"""
sign

doc"""
    signed(x)

Convert a number to a signed integer. If the argument is unsigned, it is reinterpreted as signed without checking for overflow.
"""
signed

doc"""
    Val{c}

Create a "value type" out of `c`, which must be an `isbits` value. The intent of this construct is to be able to dispatch on constants, e.g., `f(Val{false})` allows you to dispatch directly (at compile-time) to an implementation `f(::Type{Val{false}})`, without having to test the boolean value at runtime.
"""
Val

doc"""
    iswritable(path) -> Bool

Returns `true` if the current user has permission to write to `path`, `false` otherwise.
"""
iswritable

doc"""
    |(x, y)

Bitwise or
"""
Base.(:(|))

doc"""
    yieldto(task, arg = nothing)

Switch to the given task. The first time a task is switched to, the task's function is called with no arguments. On subsequent switches, `arg` is returned from the task's last call to `yieldto`. This is a low-level call that only switches tasks, not considering states or scheduling in any way. Its use is discouraged.
"""
yieldto

doc"""
    readandwrite(command)

Starts running a command asynchronously, and returns a tuple (stdout,stdin,process) of the output stream and input stream of the process, and the process object itself.
"""
readandwrite

doc"""
    splitdrive(path::AbstractString) -> (AbstractString,AbstractString)

On Windows, split a path into the drive letter part and the path part. On Unix systems, the first component is always the empty string.
"""
splitdrive

doc"""
    pop!(collection, key[, default])

Delete and return the mapping for `key` if it exists in `collection`,
otherwise return `default`, or throw an error if default is not specified.
"""
pop!(collection,key,?)

doc"""
    pop!(collection) -> item

Remove the last item in `collection` and return it.

```jldoctest
julia> A=[1, 2, 3, 4, 5, 6]
6-element Array{Int64,1}:
 1
 2
 3
 4
 5
 6

julia> pop!(A)
6

julia> A
5-element Array{Int64,1}:
 1
 2
 3
 4
 5
```
"""
pop!(collection)

doc"""
    filter(function, collection)

Return a copy of `collection`, removing elements for which `function` is `false`. For associative collections, the function is passed two arguments (key and value).
"""
filter

doc"""
```rst
..  randperm([rng,] n)

Construct a random permutation of length ``n``. The optional ``rng`` argument
specifies a random number generator, see :ref:`Random Numbers <random-numbers>`.
```
"""
randperm

doc"""
    seekend(s)

Seek a stream to its end.
"""
seekend

doc"""
    DivideError()

Integer division was attempted with a denominator value of 0.
"""
DivideError

doc"""
    AssertionError([msg])

The asserted condition did not evaluate to `true`.
Optional argument `msg` is a descriptive error string.
"""
AssertionError

doc"""
    ror(B::BitArray{1}, i::Integer) -> BitArray{1}

Performs a right rotation operation.
"""
ror

doc"""
    Ac_ldiv_Bc(A, B)

For matrices or vectors $A$ and $B$, calculates $Aᴴ$ \ $Bᴴ$
"""
Ac_ldiv_Bc

doc"""
```rst
..  @enum EnumName EnumValue1[=x] EnumValue2[=y]

Create an :obj:`Enum` type with name ``EnumName`` and enum member values of ``EnumValue1`` and ``EnumValue2`` with optional assigned values of ``x`` and ``y``, respectively. ``EnumName`` can be used just like other types and enum member values as regular values, such as

.. doctest::

   julia> @enum FRUIT apple=1 orange=2 kiwi=3

   julia> f(x::FRUIT) = "I'm a FRUIT with value: $(Int(x))"
   f (generic function with 1 method)

   julia> f(apple)
   "I'm a FRUIT with value: 1"
```
"""
:@enum

doc"""
    asind(x)

Compute the inverse sine of `x`, where the output is in degrees
"""
asind

doc"""
    widemul(x, y)

Multiply `x` and `y`, giving the result as a larger type.
"""
widemul

doc"""
    unsafe_pointer_to_objref(p::Ptr)

Convert a `Ptr` to an object reference. Assumes the pointer refers to a valid heap-allocated Julia object. If this is not the case, undefined behavior results, hence this function is considered "unsafe" and should be used with care.
"""
unsafe_pointer_to_objref

doc"""
    chomp(string)

Remove a trailing newline from a string.
"""
chomp

doc"""
    enumerate(iter)

An iterator that yields `(i, x)` where `i` is an index starting at 1, and
`x` is the `i`th value from the given iterator. It's useful when you need
not only the values `x` over which you are iterating, but also the index `i`
of the iterations.

```jldoctest
julia> a = ["a", "b", "c"];

julia> for (index, value) in enumerate(a)
           println("$index $value")
       end
1 a
2 b
3 c
```
"""
enumerate

doc"""
    >=(x, y)
    ≥(x,y)

Greater-than-or-equals comparison operator.
"""
Base.(:(>=))

doc"""
    dawson(x)

Compute the Dawson function (scaled imaginary error function) of `x`,
defined by $\frac{\sqrt{\pi}}{2} e^{-x^2} \operatorname{erfi}(x)$.
"""
dawson

doc"""
    current_task()

Get the currently running `Task`.
"""
current_task

# Dates

doc"""
    firstdayofweek(dt::TimeType) -> TimeType

Adjusts `dt` to the Monday of its week.
"""
Dates.firstdayofweek

doc"""
    datetime2unix(dt::DateTime) -> Float64

Takes the given `DateTime` and returns the number of seconds since the unix epoch as a `Float64`.
"""
Dates.datetime2unix

doc"""
    dayofweekofmonth(dt::TimeType) -> Int

For the day of week of `dt`, returns which number it is in `dt`'s month. So if the day of the week of `dt` is Monday, then `1 = First Monday of the month, 2 = Second Monday of the month, etc.` In the range 1:5.
"""
Dates.dayofweekofmonth

doc"""
    monthabbr(dt::TimeType; locale="english") -> AbstractString

Return the abbreviated month name of the `Date` or `DateTime` in the given `locale`.
"""
Dates.monthabbr

doc"""
    datetime2julian(dt::DateTime) -> Float64

Takes the given `DateTime` and returns the number of Julian calendar days since the julian epoch as a `Float64`.
"""
Dates.datetime2julian

doc"""
    dayabbr(dt::TimeType; locale="english") -> AbstractString

Return the abbreviated name corresponding to the day of the week of the `Date` or `DateTime` in the given `locale`.
"""
Dates.dayabbr

doc"""
```rst
..  DateTime(y, [m, d, h, mi, s, ms]) -> DateTime

Construct a ``DateTime`` type by parts. Arguments must be convertible to ``Int64``.
```
"""
Dates.DateTime(y)

doc"""
```rst
..  DateTime(periods::Period...) -> DateTime

Constuct a ``DateTime`` type by ``Period`` type parts. Arguments may be in any order.
DateTime parts not provided will default to the value of ``Dates.default(period)``.
```
"""
Dates.DateTime(periods::Dates.Period...)

doc"""
```rst
..  DateTime(f::Function, y[, m, d, h, mi, s]; step=Day(1), negate=false, limit=10000) -> DateTime

Create a ``DateTime`` through the adjuster API. The starting point will be constructed from the
provided ``y, m, d...`` arguments, and will be adjusted until ``f::Function`` returns ``true``. The step size in
adjusting can be provided manually through the ``step`` keyword. If ``negate=true``, then the adjusting
will stop when ``f::Function`` returns ``false`` instead of ``true``. ``limit`` provides a limit to
the max number of iterations the adjustment API will pursue before throwing an error (in the case that ``f::Function`` is never satisfied).
```
"""
Dates.DateTime(f::Function, y)

doc"""
```rst
..  DateTime(dt::Date) -> DateTime

Converts a ``Date`` type to a ``DateTime``.
The hour, minute, second, and millisecond parts of the new ``DateTime`` are assumed to be zero.
```
"""
Dates.DateTime(dt::Date)

doc"""
```rst
..  DateTime(dt::AbstractString, format::AbstractString; locale="english") -> DateTime

Construct a ``DateTime`` by parsing the ``dt`` date string following the pattern given in
the ``format`` string. The following character codes can be used to construct the ``format``
string:

=============== ========= ===============================================================
Code            Matches    Comment
=============== ========= ===============================================================
``y``           1996, 96  Returns year of 1996, 0096
``m``           1, 01     Matches 1 or 2-digit months
``u``           Jan       Matches abbreviated months according to the ``locale`` keyword
``U``           January   Matches full month names according to the ``locale`` keyword
``d``           1, 01     Matches 1 or 2-digit days
``H``           00        Matches hours
``M``           00        Matches minutes
``S``           00        Matches seconds
``s``           .500      Matches milliseconds
``e``           Mon, Tues Matches abbreviated days of the week
``E``           Monday    Matches full name days of the week
``yyyymmdd``    19960101  Matches fixed-width year, month, and day
=============== ========= ===============================================================

All characters not listed above are treated as delimiters between date and time slots.
So a ``dt`` string of "1996-01-15T00:00:00.0" would have a ``format`` string like "y-m-dTH:M:S.s".
```
"""
Dates.DateTime(dt::AbstractString, format::AbstractString)

doc"""
```rst
..  format(dt::TimeType, format::AbstractString; locale="english") -> AbstractString

Construct a string by using a ``TimeType`` object and applying the provided ``format``. The
following character codes can be used to construct the ``format`` string:

=============== ========= ===============================================================
Code            Examples  Comment
=============== ========= ===============================================================
``y``           6         Numeric year with a fixed width
``m``           1, 12     Numeric month with a minimum width
``u``           Jan       Month name shortened to 3-chars according to the ``locale``
``U``           January   Full month name according to the ``locale`` keyword
``d``           1, 31     Day of the month with a minimum width
``H``           0, 23     Hour (24-hour clock) with a minimum width
``M``           0, 59     Minute with a minimum width
``S``           0, 59     Second with a minimum width
``s``           000, 500  Millisecond with a minimum width of 3
``e``           Mon, Tue  Abbreviated days of the week
``E``           Monday    Full day of week name
=============== ========= ===============================================================

The number of sequential code characters indicate the width of the code. A format of
``yyyy-mm`` specifies that the code ``y`` should have a width of four while ``m`` a width of
two. Codes that yield numeric digits have an associated mode: fixed-width or minimum-width.
The fixed-width mode left-pads the value with zeros when it is shorter than the specified
width and truncates the value when longer. Minimum-width mode works the same as fixed-width
except that it does not truncate values longer than the width.

When creating a ``format`` you can use any non-code characters as a separator. For example to
generate the string "1996-01-15T00:00:00" you could use ``format``: "yyyy-mm-ddTHH:MM:SS".
```
"""
Dates.format(dt::AbstractString, format::AbstractString)

doc"""
```rst
..  DateTime(dt::AbstractString, df::DateFormat) -> DateTime

Construct a ``DateTime`` by parsing the ``dt`` date string following the pattern given in
the :func:`Dates.DateFormat` object. Similar to
``DateTime(::AbstractString, ::AbstractString)`` but more efficient when repeatedly parsing
similarly formatted date strings with a pre-created ``DateFormat`` object.
```
"""
Dates.DateTime(dt::AbstractString, df::Dates.DateFormat)

doc"""
    datetime2rata(dt::TimeType) -> Int64

Returns the number of Rata Die days since epoch from the given `Date` or `DateTime`.
"""
Dates.datetime2rata

doc"""
    monthname(dt::TimeType; locale="english") -> AbstractString

Return the full name of the month of the `Date` or `DateTime` in the given `locale`.
"""
Dates.monthname

doc"""
    dayname(dt::TimeType; locale="english") -> AbstractString

Return the full day name corresponding to the day of the week of the `Date` or `DateTime` in the given `locale`.
"""
Dates.dayname

doc"""
    Date(y, [m, d]) -> Date

Construct a `Date` type by parts. Arguments must be convertible to `Int64`.
"""
Dates.Date(y)

doc"""
    Date(period::Period...) -> Date

Constuct a `Date` type by `Period` type parts. Arguments may be in any order. `Date` parts not provided will default to the value of `Dates.default(period)`.
"""
Dates.Date(period::Dates.Period...)

doc"""
    Date(f::Function, y[, m, d]; step=Day(1), negate=false, limit=10000) -> Date

Create a `Date` through the adjuster API. The starting point will be constructed from the
provided `y, m, d` arguments, and will be adjusted until `f::Function` returns `true`. The
step size in adjusting can be provided manually through the `step` keyword. If
`negate=true`, then the adjusting will stop when `f::Function` returns `false` instead of
`true`. `limit` provides a limit to the max number of iterations the adjustment API will
pursue before throwing an error (given that `f::Function` is never satisfied).
"""
Dates.Date(f::Function, y)

doc"""
    Date(dt::DateTime) -> Date

Converts a `DateTime` to a `Date`. The hour, minute, second, and millisecond parts of the
`DateTime` are truncated, so only the year, month and day parts are used in construction.
"""
Dates.Date(dt::DateTime)

doc"""
    Date(dt::AbstractString, format::AbstractString; locale="english") -> Date

Construct a `Date` object by parsing a `dt` date string following the pattern given in the
`format` string. Follows the same conventions as
`DateTime(::AbstractString, ::AbstractString)`.
"""
Dates.Date(dt::AbstractString, format::AbstractString)

doc"""
    Date(dt::AbstractString, df::DateFormat) -> Date

Parse a date from a date string `dt` using a `DateFormat` object `df`.
"""
Dates.Date(dt::AbstractString, df::Dates.DateFormat)

doc"""
    firstdayofmonth(dt::TimeType) -> TimeType

Adjusts `dt` to the first day of its month.
"""
Dates.firstdayofmonth

doc"""
    tonext(dt::TimeType,dow::Int;same::Bool=false) -> TimeType

Adjusts `dt` to the next day of week corresponding to `dow` with `1 = Monday, 2 = Tuesday, etc`. Setting `same=true` allows the current `dt` to be considered as the next `dow`, allowing for no adjustment to occur.
"""
Dates.tonext(::Dates.TimeType,::Int,?)

doc"""
    tonext(func::Function,dt::TimeType;step=Day(1),negate=false,limit=10000,same=false) -> TimeType

Adjusts `dt` by iterating at most `limit` iterations by `step` increments until `func` returns `true`. `func` must take a single `TimeType` argument and return a `Bool`. `same` allows `dt` to be considered in satisfying `func`. `negate` will make the adjustment process terminate when `func` returns `false` instead of `true`.
"""
Dates.tonext(::Function,::Dates.TimeType)

doc"""
    dayofyear(dt::TimeType) -> Int

Returns the day of the year for `dt` with January 1st being day 1.
"""
Dates.dayofyear

doc"""
    tolast(dt::TimeType,dow::Int;of=Month) -> TimeType

Adjusts `dt` to the last `dow` of its month. Alternatively, `of=Year` will adjust to the last `dow` of the year.
"""
Dates.tolast

doc"""
    firstdayofquarter(dt::TimeType) -> TimeType

Adjusts `dt` to the first day of its quarter.
"""
Dates.firstdayofquarter

doc"""
```rst
..  julian2datetime(julian_days) -> DateTime

Takes the number of Julian calendar days since epoch
``-4713-11-24T12:00:00`` and returns the corresponding ``DateTime``.
```
"""
Dates.julian2datetime

doc"""
    toprev(dt::TimeType,dow::Int;same::Bool=false) -> TimeType

Adjusts `dt` to the previous day of week corresponding to `dow` with `1 = Monday, 2 = Tuesday, etc`. Setting `same=true` allows the current `dt` to be considered as the previous `dow`, allowing for no adjustment to occur.
"""
Dates.toprev(::Dates.TimeType,::Int,?)

doc"""
    toprev(func::Function,dt::TimeType;step=Day(-1),negate=false,limit=10000,same=false) -> TimeType

Adjusts `dt` by iterating at most `limit` iterations by `step` increments until `func` returns `true`. `func` must take a single `TimeType` argument and return a `Bool`. `same` allows `dt` to be considered in satisfying `func`. `negate` will make the adjustment process terminate when `func` returns `false` instead of `true`.
"""
Dates.toprev(::Function,::Dates.TimeType)

doc"""
    daysinyear(dt::TimeType) -> Int

Returns 366 if the year of `dt` is a leap year, otherwise returns 365.
"""
Dates.daysinyear

doc"""
```rst
..  trunc(dt::TimeType, ::Type{Period}) -> TimeType

Truncates the value of ``dt`` according to the provided ``Period`` type.
E.g. if ``dt`` is ``1996-01-01T12:30:00``, then ``trunc(dt,Day) == 1996-01-01T00:00:00``.
```
"""
Dates.trunc(::Dates.TimeType, ::Type{Dates.Period})

doc"""
    daysinmonth(dt::TimeType) -> Int

Returns the number of days in the month of `dt`. Value will be 28, 29, 30, or 31.
"""
Dates.daysinmonth

doc"""
    daysofweekinmonth(dt::TimeType) -> Int

For the day of week of `dt`, returns the total number of that day of the week in `dt`'s month. Returns 4 or 5. Useful in temporal expressions for specifying the last day of a week in a month by including `dayofweekofmonth(dt) == daysofweekinmonth(dt)` in the adjuster function.
"""
Dates.daysofweekinmonth

doc"""
```rst
..  DateFormat(format::AbstractString, locale::AbstractString="english") -> DateFormat

Construct a date formatting object that can be used for parsing date strings or
formatting a date object as a string. For details on the syntax for ``format`` see
:ref:`parsing <man-date-parsing>` and :ref:`formatting <man-date-formatting>`.
```
"""
Dates.DateFormat

doc"""
    lastdayofweek(dt::TimeType) -> TimeType

Adjusts `dt` to the Sunday of its week.
"""
Dates.lastdayofweek

doc"""
    recur{T<:TimeType}(func::Function,dr::StepRange{T};negate=false,limit=10000) -> Vector{T}

`func` takes a single TimeType argument and returns a `Bool` indicating whether the input should be "included" in the final set. `recur` applies `func` over each element in the range of `dr`, including those elements for which `func` returns `true` in the resulting Array, unless `negate=true`, then only elements where `func` returns `false` are included.
"""
Dates.recur

doc"""
    default(p::Period) -> Period

Returns a sensible "default" value for the input Period by returning `one(p)` for Year, Month, and Day, and `zero(p)` for Hour, Minute, Second, and Millisecond.
"""
Dates.default

doc"""
```rst
..  unix2datetime(x) -> DateTime

Takes the number of seconds since unix epoch ``1970-01-01T00:00:00``
and converts to the corresponding ``DateTime``.
```
"""
Dates.unix2datetime

doc"""
    eps(::DateTime) -> Millisecond
    eps(::Date) -> Day

Returns `Millisecond(1)` for `DateTime` values and `Day(1)` for `Date` values.
"""
Dates.eps(::Union{Date,DateTime})

doc"""
    firstdayofyear(dt::TimeType) -> TimeType

Adjusts `dt` to the first day of its year.
"""
Dates.firstdayofyear

doc"""
```rst
..  rata2datetime(days) -> DateTime

Takes the number of Rata Die days since epoch ``0000-12-31T00:00:00``
and returns the corresponding ``DateTime``.
```
"""
Dates.rata2datetime

doc"""
    now() -> DateTime

Returns a `DateTime` corresponding to the user's system time including the system timezone locale.
"""
now

doc"""
    now(::Type{UTC}) -> DateTime

Returns a `DateTime` corresponding to the user's system time as UTC/GMT.
"""
Dates.now(::Type{Dates.UTC})

doc"""
    isleapyear(dt::TimeType) -> Bool

Returns `true` if the year of `dt` is a leap year.
"""
Dates.isleapyear

doc"""
    today() -> Date

Returns the date portion of `now()`.
"""
Dates.today

doc"""
    lastdayofyear(dt::TimeType) -> TimeType

Adjusts `dt` to the last day of its year.
"""
Dates.lastdayofyear

doc"""
    tofirst(dt::TimeType,dow::Int;of=Month) -> TimeType

Adjusts `dt` to the first `dow` of its month. Alternatively, `of=Year` will adjust to the first `dow` of the year.
"""
Dates.tofirst

doc"""
    lastdayofmonth(dt::TimeType) -> TimeType

Adjusts `dt` to the last day of its month.
"""
Dates.lastdayofmonth

doc"""
    dayofweek(dt::TimeType) -> Int64

Returns the day of the week as an `Int64` with `1 = Monday, 2 = Tuesday, etc.`.
"""
Dates.dayofweek

doc"""
    quarterofyear(dt::TimeType) -> Int

Returns the quarter that `dt` resides in. Range of value is 1:4.
"""
Dates.quarterofyear

doc"""
    dayofquarter(dt::TimeType) -> Int

Returns the day of the current quarter of `dt`. Range of value is 1:92.
"""
Dates.dayofquarter

doc"""
    lastdayofquarter(dt::TimeType) -> TimeType

Adjusts `dt` to the last day of its quarter.
"""
Dates.lastdayofquarter

# Base.Pkg

doc"""
    build()

Run the build scripts for all installed packages in depth-first recursive order.
"""
Pkg.build()

doc"""
    build(pkgs...)

Run the build script in `deps/build.jl` for each package in `pkgs` and all of their dependencies in depth-first recursive order. This is called automatically by `Pkg.resolve()` on all installed or updated packages.
"""
Pkg.build(pkgs...)

doc"""
    init(meta::AbstractString=DEFAULT_META, branch::AbstractString=META_BRANCH)

Initialize `Pkg.dir()` as a package directory. This will be done automatically when the `JULIA_PKGDIR` is not set and `Pkg.dir()` uses its default value. As part of this process, clones a local METADATA git repository from the site and branch specified by its arguments, which are typically not provided. Explicit (non-default) arguments can be used to support a custom METADATA setup.
"""
Pkg.init()

doc"""
    publish()

For each new package version tagged in `METADATA` not already published, make sure that the tagged package commits have been pushed to the repo at the registered URL for the package and if they all have, open a pull request to `METADATA`.
"""
Pkg.publish()

doc"""
    pin(pkg)

Pin `pkg` at the current version. To go back to using the newest compatible released version, use `Pkg.free(pkg)`
"""
Pkg.pin(pkg)

doc"""
    pin(pkg, version)

Pin `pkg` at registered version `version`.
"""
Pkg.pin(pkg, version)

doc"""
    resolve()

Determines an optimal, consistent set of package versions to install or upgrade to. The optimal set of package versions is based on the contents of `Pkg.dir("REQUIRE")` and the state of installed packages in `Pkg.dir()`, Packages that are no longer required are moved into `Pkg.dir(".trash")`.
"""
Pkg.resolve()

doc"""
    available() -> Vector{ASCIIString}

Returns the names of available packages.
"""
Pkg.available()

doc"""
    available(pkg) -> Vector{VersionNumber}

Returns the version numbers available for package `pkg`.
"""
Pkg.available(pkg)

doc"""
    register(pkg, [url])

Register `pkg` at the git URL `url`, defaulting to the configured origin URL of the git repo `Pkg.dir(pkg)`.
"""
Pkg.register(pkg, url=?)

doc"""
    rm(pkg)

Remove all requirement entries for `pkg` from `Pkg.dir("REQUIRE")` and call `Pkg.resolve()`.
"""
Pkg.rm(pkg)

doc"""
    free(pkg)

Free the package `pkg` to be managed by the package manager again. It calls `Pkg.resolve()` to determine optimal package versions after. This is an inverse for both `Pkg.checkout` and `Pkg.pin`.

You can also supply an iterable collection of package names, e.g., `Pkg.free(("Pkg1", "Pkg2"))` to free multiple packages at once.
"""
Pkg.free()

doc"""
    status()

Prints out a summary of what packages are installed and what version and state they're in.
"""
Pkg.status

doc"""
    edit()

Opens `Pkg.dir("REQUIRE")` in the editor specified by the `VISUAL` or `EDITOR` environment variables; when the editor command returns, it runs `Pkg.resolve()` to determine and install a new optimal set of installed package versions.
"""
Pkg.edit()

doc"""
    clone(url, [pkg])

Clone a package directly from the git URL `url`. The package does not need to be a registered in `Pkg.dir("METADATA")`. The package repo is cloned by the name `pkg` if provided; if not provided, `pkg` is determined automatically from `url`.
"""
Pkg.clone(url,?)

doc"""
    clone(pkg)

If `pkg` has a URL registered in `Pkg.dir("METADATA")`, clone it from that URL on the default branch. The package does not need to have any registered versions.
"""
Pkg.clone(pkg)

doc"""
    checkout(pkg, [branch="master"])

Checkout the `Pkg.dir(pkg)` repo to the branch `branch`. Defaults to checking out the "master" branch. To go back to using the newest compatible released version, use `Pkg.free(pkg)`
"""
Pkg.checkout(pkg)

doc"""
    update()

Update package the metadata repo – kept in `Pkg.dir("METADATA")` – then update any fixed packages that can safely be pulled from their origin; then call `Pkg.resolve()` to determine a new optimal set of packages versions.
"""
Pkg.update

doc"""
    add(pkg, vers...)

Add a requirement entry for `pkg` to `Pkg.dir("REQUIRE")` and call `Pkg.resolve()`. If `vers` are given, they must be `VersionNumber` objects and they specify acceptable version intervals for `pkg`.
"""
Pkg.add(pkg, vers...)

doc"""
    tag(pkg, [ver, [commit]])

Tag `commit` as version `ver` of package `pkg` and create a version entry in `METADATA`. If not provided, `commit` defaults to the current commit of the `pkg` repo. If `ver` is one of the symbols `:patch`, `:minor`, `:major` the next patch, minor or major version is used. If `ver` is not provided, it defaults to `:patch`.
"""
Pkg.tag(pkg)

doc"""
    test()

Run the tests for all installed packages ensuring that each package's test dependencies are installed for the duration of the test. A package is tested by running its `test/runtests.jl` file and test dependencies are specified in `test/REQUIRE`.
"""
Pkg.test()

doc"""
    test(pkgs...)

Run the tests for each package in `pkgs` ensuring that each package's test dependencies are installed for the duration of the test. A package is tested by running its `test/runtests.jl` file and test dependencies are specified in `test/REQUIRE`.
"""
Pkg.test(pkgs...)

doc"""
    generate(pkg,license)

Generate a new package named `pkg` with one of these license keys: `"MIT"`, `"BSD"` or `"ASL"`. If you want to make a package with a different license, you can edit it afterwards. Generate creates a git repo at `Pkg.dir(pkg)` for the package and inside it `LICENSE.md`, `README.md`, `REQUIRE`, the julia entrypoint `$pkg/src/$pkg.jl`, and Travis and AppVeyor CI configuration files `.travis.yml` and `appveyor.yml`.
"""
Pkg.generate(pkg,license)

doc"""
    dir() -> AbstractString

Returns the absolute path of the package directory. This defaults to `joinpath(homedir(),".julia","v$(VERSION.major).$(VERSION.minor)")` on all platforms (i.e. `~/.julia/v0.4` in UNIX shell syntax). If the `JULIA_PKGDIR` environment variable is set, then that path is used in the returned value as `joinpath(ENV["JULIA_PKGDIR"],"v$(VERSION.major).$(VERSION.minor)")`. If `JULIA_PKGDIR` is a relative path, it is interpreted relative to whatever the current working directory is.
"""
Pkg.dir()

doc"""
    dir(names...) -> AbstractString

Equivalent to `normpath(Pkg.dir(),names...)` – i.e. it appends path components to the package directory and normalizes the resulting path. In particular, `Pkg.dir(pkg)` returns the path to the package `pkg`.
"""
Pkg.dir(names...)

doc"""
    installed() -> Dict{ASCIIString,VersionNumber}

Returns a dictionary mapping installed package names to the installed version number of each package.
"""
Pkg.installed()

doc"""
    installed(pkg) -> Void | VersionNumber

If `pkg` is installed, return the installed version number, otherwise return `nothing`.
"""
Pkg.installed(pkg)

doc"""
    randjump(r::MersenneTwister, jumps, [jumppoly]) -> Vector{MersenneTwister}

Create an array of the size `jumps` of initialized `MersenneTwister` RNG objects where the first RNG object given as a parameter and following `MersenneTwister` RNGs in the array initialized such that a state of the RNG object in the array would be moved forward (without generating numbers) from a previous RNG object array element on a particular number of steps encoded by the jump polynomial `jumppoly`.

Default jump polynomial moves forward `MersenneTwister` RNG state by 10^20 steps.
"""
randjump

doc"""
```rst
..  \:(start, [step], stop)

Range operator. ``a:b`` constructs a range from ``a`` to ``b`` with a step size of 1, and ``a:s:b`` is similar but uses a step size of ``s``. These syntaxes call the function ``colon``.
The colon is also used in indexing to select whole dimensions.
```
"""
colon(start, step, stop)

doc"""
```rst
..  $(x, y)

Bitwise exclusive or
```
"""
Base.(:$)(x, y)
