Returns true
if this is a lower triangular matrix.
Returns true
if this is an upper triangular matrix.
Called for dup & clone.
Private. Use Matrix#determinant
Returns the determinant of the matrix, using Bareiss’ multistep integer-preserving gaussian elimination. It has the same computational cost order O(n^3) as standard Gaussian elimination. Intermediate results are fraction free and of lower complexity. A matrix of Integers will have thus intermediate results that are also Integers, with smaller bignums (if any), while a matrix of Float
will usually have intermediate results with better precision.
Called for dup & clone.
Returns the factorization of value
.
value
An arbitrary integer.
generator
Optional. A pseudo-prime generator. generator
.succ must return the next pseudo-prime number in the ascending order. It must generate all prime numbers, but may also generate non prime numbers too.
ZeroDivisionError
when value
is zero.
For an arbitrary integer:
n = p_1**e_1 * p_2**e_2 * .... * p_n**e_n,
prime_division
(n) returns:
[[p_1, e_1], [p_2, e_2], ...., [p_n, e_n]]. Prime.prime_division(12) #=> [[2,2], [3,1]]
Changes asynchronous interrupt timing.
interrupt means asynchronous event and corresponding procedure by Thread#raise
, Thread#kill
, signal trap (not supported yet) and main thread termination (if main thread terminates, then all other thread will be killed).
The given hash
has pairs like ExceptionClass => :TimingSymbol
. Where the ExceptionClass is the interrupt handled by the given block. The TimingSymbol can be one of the following symbols:
:immediate
Invoke interrupts immediately.
:on_blocking
Invoke interrupts while BlockingOperation.
:never
Never invoke all interrupts.
BlockingOperation means that the operation will block the calling thread, such as read and write. On CRuby implementation, BlockingOperation is any operation executed without GVL.
Masked asynchronous interrupts are delayed until they are enabled. This method is similar to sigprocmask(3).
Asynchronous interrupts are difficult to use.
If you need to communicate between threads, please consider to use another way such as Queue
.
Or use them with deep understanding about this method.
In this example, we can guard from Thread#raise
exceptions.
Using the :never
TimingSymbol the RuntimeError
exception will always be ignored in the first block of the main thread. In the second ::handle_interrupt
block we can purposefully handle RuntimeError
exceptions.
th = Thread.new do Thread.handle_interrupt(RuntimeError => :never) { begin # You can write resource allocation code safely. Thread.handle_interrupt(RuntimeError => :immediate) { # ... } ensure # You can write resource deallocation code safely. end } end Thread.pass # ... th.raise "stop"
While we are ignoring the RuntimeError
exception, it’s safe to write our resource allocation code. Then, the ensure block is where we can safely deallocate your resources.
Timeout::Error
In the next example, we will guard from the Timeout::Error
exception. This will help prevent from leaking resources when Timeout::Error
exceptions occur during normal ensure clause. For this example we use the help of the standard library Timeout
, from lib/timeout.rb
require 'timeout' Thread.handle_interrupt(Timeout::Error => :never) { timeout(10){ # Timeout::Error doesn't occur here Thread.handle_interrupt(Timeout::Error => :on_blocking) { # possible to be killed by Timeout::Error # while blocking operation } # Timeout::Error doesn't occur here } }
In the first part of the timeout
block, we can rely on Timeout::Error
being ignored. Then in the Timeout::Error => :on_blocking
block, any operation that will block the calling thread is susceptible to a Timeout::Error
exception being raised.
It’s possible to stack multiple levels of ::handle_interrupt
blocks in order to control more than one ExceptionClass and TimingSymbol at a time.
Thread.handle_interrupt(FooError => :never) { Thread.handle_interrupt(BarError => :never) { # FooError and BarError are prohibited. } }
All exceptions inherited from the ExceptionClass parameter will be considered.
Thread.handle_interrupt(Exception => :never) { # all exceptions inherited from Exception are prohibited. }
Returns whether or not the asynchronous queue is empty.
Since Thread::handle_interrupt
can be used to defer asynchronous events, this method can be used to determine if there are any deferred events.
If you find this method returns true, then you may finish :never
blocks.
For example, the following method processes deferred asynchronous events immediately.
def Thread.kick_interrupt_immediately Thread.handle_interrupt(Object => :immediate) { Thread.pass } end
If error
is given, then check only for error
type deferred events.
th = Thread.new{ Thread.handle_interrupt(RuntimeError => :on_blocking){ while true ... # reach safe point to invoke interrupt if Thread.pending_interrupt? Thread.handle_interrupt(Object => :immediate){} end ... end } } ... th.raise # stop thread
This example can also be written as the following, which you should use to avoid asynchronous interrupts.
flag = true th = Thread.new{ Thread.handle_interrupt(RuntimeError => :on_blocking){ while true ... # reach safe point to invoke interrupt break if flag == false ... end } } ... flag = false # stop thread
Returns whether or not the asynchronous queue is empty for the target thread.
If error
is given, then check only for error
type deferred events.
See ::pending_interrupt?
for more information.
Recursively calls passed Proc if the parsed data structure is an Array or Hash
Enters exclusive section.
Enters exclusive section and executes the block. Leaves the exclusive section automatically when the block exits. See example under MonitorMixin
.
Initializes the MonitorMixin
after being included in a class or when an object has been extended with the MonitorMixin
Insert text into the line at the current cursor position.
See GNU Readline’s rl_insert_text function.
Raises NotImplementedError
if the using readline library does not support.
Reset the dir
and path
values. The next time dir
or path
is requested, the values will be calculated from scratch. This is mainly used by the unit tests to provide test isolation.
Glob pattern for require-able path suffixes.
Use the home
and paths
values for Gem.dir
and Gem.path
. Used mainly by the unit tests to provide environment isolation.
The home directory for the user.
Path for gems in the user’s home directory
Returns true if the contents of a file a
and a file b
are identical.
FileUtils.compare_file('somefile', 'somefile') #=> true FileUtils.compare_file('/dev/null', '/dev/urandom') #=> false
Returns true if the contents of a file a
and a file b
are identical.
FileUtils.compare_file('somefile', 'somefile') #=> true FileUtils.compare_file('/dev/null', '/dev/urandom') #=> false