Returns the time used to execute the given block as a Benchmark::Tms
object. Takes label
option.
require 'benchmark' n = 1000000 time = Benchmark.measure do n.times { a = "1" } end puts time
Generates:
0.220000 0.000000 0.220000 ( 0.227313)
Returns the elapsed real time used to execute the given block.
Returns the arc tangent of z
CMath.atan(1 + 1i) #=> (1.0172219678978514+0.4023594781085251i)
returns the arc tangent of y
divided by x
using the signs of y
and x
to determine the quadrant
CMath.atan2(1 + 1i, 0) #=> (1.5707963267948966+0.0i)
returns the inverse hyperbolic tangent of z
CMath.atanh(1 + 1i) #=> (0.4023594781085251+1.0172219678978514i)
Returns the arc tangent of z
CMath.atan(1 + 1i) #=> (1.0172219678978514+0.4023594781085251i)
returns the arc tangent of y
divided by x
using the signs of y
and x
to determine the quadrant
CMath.atan2(1 + 1i, 0) #=> (1.5707963267948966+0.0i)
returns the inverse hyperbolic tangent of z
CMath.atanh(1 + 1i) #=> (0.4023594781085251+1.0172219678978514i)
Get the thread of the primary server.
This returns nil if there is no primary server. See primary_server
.
Get the thread of the primary server.
This returns nil if there is no primary server. See primary_server
.
Options: (none)
Returns true if new
is newer than all old_list
. Non-existent files are older than any file.
FileUtils.uptodate?('hello.o', %w(hello.c hello.h)) or \ system 'make hello.o'
Options: (none)
Returns true if new
is newer than all old_list
. Non-existent files are older than any file.
FileUtils.uptodate?('hello.o', %w(hello.c hello.h)) or \ system 'make hello.o'
Computes the arc tangent given y
and x
. Returns a Float
in the range -PI..PI. Return value is a angle in radians between the positive x-axis of cartesian plane and the point given by the coordinates (x
, y
) on it.
Domain: (-INFINITY, INFINITY)
Codomain: [-PI, PI]
Math.atan2(-0.0, -1.0) #=> -3.141592653589793 Math.atan2(-1.0, -1.0) #=> -2.356194490192345 Math.atan2(-1.0, 0.0) #=> -1.5707963267948966 Math.atan2(-1.0, 1.0) #=> -0.7853981633974483 Math.atan2(-0.0, 1.0) #=> -0.0 Math.atan2(0.0, 1.0) #=> 0.0 Math.atan2(1.0, 1.0) #=> 0.7853981633974483 Math.atan2(1.0, 0.0) #=> 1.5707963267948966 Math.atan2(1.0, -1.0) #=> 2.356194490192345 Math.atan2(0.0, -1.0) #=> 3.141592653589793 Math.atan2(INFINITY, INFINITY) #=> 0.7853981633974483 Math.atan2(INFINITY, -INFINITY) #=> 2.356194490192345 Math.atan2(-INFINITY, INFINITY) #=> -0.7853981633974483 Math.atan2(-INFINITY, -INFINITY) #=> -2.356194490192345
Computes the arc tangent of x
. Returns -PI/2..PI/2.
Domain: (-INFINITY, INFINITY)
Codomain: (-PI/2, PI/2)
Math.atan(0) #=> 0.0
Computes the inverse hyperbolic tangent of x
.
Domain: (-1, 1)
Codomain: (-INFINITY, INFINITY)
Math.atanh(1) #=> Infinity
Calculates the gamma function of x.
Note that gamma(n) is same as fact(n-1) for integer n > 0. However gamma(n) returns float and can be an approximation.
def fact(n) (1..n).inject(1) {|r,i| r*i } end 1.upto(26) {|i| p [i, Math.gamma(i), fact(i-1)] } #=> [1, 1.0, 1] # [2, 1.0, 1] # [3, 2.0, 2] # [4, 6.0, 6] # [5, 24.0, 24] # [6, 120.0, 120] # [7, 720.0, 720] # [8, 5040.0, 5040] # [9, 40320.0, 40320] # [10, 362880.0, 362880] # [11, 3628800.0, 3628800] # [12, 39916800.0, 39916800] # [13, 479001600.0, 479001600] # [14, 6227020800.0, 6227020800] # [15, 87178291200.0, 87178291200] # [16, 1307674368000.0, 1307674368000] # [17, 20922789888000.0, 20922789888000] # [18, 355687428096000.0, 355687428096000] # [19, 6.402373705728e+15, 6402373705728000] # [20, 1.21645100408832e+17, 121645100408832000] # [21, 2.43290200817664e+18, 2432902008176640000] # [22, 5.109094217170944e+19, 51090942171709440000] # [23, 1.1240007277776077e+21, 1124000727777607680000] # [24, 2.5852016738885062e+22, 25852016738884976640000] # [25, 6.204484017332391e+23, 620448401733239439360000] # [26, 1.5511210043330954e+25, 15511210043330985984000000]
Calculates the logarithmic gamma of x
and the sign of gamma of x
.
Math.lgamma(x)
is same as
[Math.log(Math.gamma(x).abs), Math.gamma(x) < 0 ? -1 : 1]
but avoid overflow by Math.gamma(x)
for large x.
Math.lgamma(0) #=> [Infinity, 1]
URI::parse(uri_str)
uri_str
String with URI
.
Creates one of the URI’s subclasses instance from the string.
Raised if URI given is not a correct one.
require 'uri' uri = URI.parse("http://www.ruby-lang.org/") p uri # => #<URI::HTTP:0x202281be URL:http://www.ruby-lang.org/> p uri.scheme # => "http" p uri.host # => "www.ruby-lang.org"
It’s recommended to first ::escape the provided uri_str
if there are any invalid URI
characters.
The standard configuration object for gems.
Use the given configuration object (which implements the ConfigFile
protocol) as the standard configuration object.
The path to the data directory specified by the gem name. If the package is not available as a gem, return nil.
A Zlib::Deflate.deflate
wrapper
A Zlib::Inflate#inflate
wrapper