For an m-by-n matrix A with m >= n, the LU decomposition is an m-by-n unit lower triangular matrix L, an n-by-n upper triangular matrix U, and a m-by-m permutation matrix P so that L*U = P*A. If m < n, then L is m-by-m and U is m-by-n.
The LUP decomposition with pivoting always exists, even if the matrix is singular, so the constructor will never fail. The primary use of the LU decomposition is in the solution of square systems of simultaneous linear equations. This will fail if singular? returns true.
Raised to indicate that a system exit should occur with the specified exit_code
Utility methods for using the RubyGems API.
Mixin methods for security option for Gem::Commands
WIN32OLE_PARAM
objects represent param information of the OLE method.
Enumerator::ArithmeticSequence
is a subclass of Enumerator
, that is a representation of sequences of numbers with common difference. Instances of this class can be generated by the Range#step
and Numeric#step
methods.
The class can be used for slicing Array
(see Array#slice
) or custom collections.
Raised by Encoding
and String
methods when the source encoding is incompatible with the target encoding.
A representation of a C function
@libc = Fiddle.dlopen "/lib/libc.so.6" #=> #<Fiddle::Handle:0x00000001d7a8d8> f = Fiddle::Function.new( @libc['strcpy'], [Fiddle::TYPE_VOIDP, Fiddle::TYPE_VOIDP], Fiddle::TYPE_VOIDP) #=> #<Fiddle::Function:0x00000001d8ee00> buff = "000" #=> "000" str = f.call(buff, "123") #=> #<Fiddle::Pointer:0x00000001d0c380 ptr=0x000000018a21b8 size=0 free=0x00000000000000> str.to_s => "123"
@libc = Fiddle.dlopen "/lib/libc.so.6" #=> #<Fiddle::Handle:0x00000001d7a8d8> f = Fiddle::Function.new(@libc['strcpy'], [TYPE_VOIDP, TYPE_VOIDP], TYPE_VOIDP) #=> #<Fiddle::Function:0x00000001d8ee00> f.abi == Fiddle::Function::DEFAULT #=> true
Socket::Option
represents a socket option used by BasicSocket#getsockopt
and BasicSocket#setsockopt
. A socket option contains the socket family
, protocol level
, option name optname
and option value data
.
The InstructionSequence
class represents a compiled sequence of instructions for the Virtual Machine used in MRI. Not all implementations of Ruby may implement this class, and for the implementations that implement it, the methods defined and behavior of the methods can change in any version.
With it, you can get a handle to the instructions that make up a method or a proc, compile strings of Ruby code down to VM instructions, and disassemble instruction sequences to strings for easy inspection. It is mostly useful if you want to learn how YARV works, but it also lets you control various settings for the Ruby iseq compiler.
You can find the source for the VM instructions in insns.def
in the Ruby source.
The instruction sequence results will almost certainly change as Ruby changes, so example output in this documentation may be different from what you see.
Of course, this class is MRI specific.