Class: Numeric

Inherits:

NSNumber

• Object
• NSObject
• NSValue
• NSNumber
• Numeric

show all

Includes:

Comparable

Instance Method Summary (collapse)

• - modulo

  x.modulo(y) means x-y*(x/y).floor.

• - +

  Unary Plus---Returns the receiver's value.

• - -

  Unary Minus---Returns the receiver's value, negated.

• - <=>

  Returns zero if num equals other, nil otherwise.

• - abs

  Returns the absolute value of num.

• - abs2

  Returns square of self.

• - angle

  Returns 0 if the value is positive, pi otherwise.

• - arg

  Returns 0 if the value is positive, pi otherwise.

• - ceil

  Returns the smallest Integer greater than or equal to num.

• - class

  Override NSObject methods.

• - coerce

  If aNumeric is the same type as num, returns an array containing aNumeric and num.

• - conj

  Returns self.

• - conjugate

  Returns self.

• - denominator

  Returns the denominator (always positive).

• - div

  Uses / to perform division, then converts the result to an integer.

• - divmod

  Returns an array containing the quotient and modulus obtained by dividing num by numeric.

• - dup
• - eql?

  Returns true if num and numeric are the same type and have equal values.

• - fdiv

  Returns float division.

• - floor

  Returns the largest integer less than or equal to num.

• - i

  Returns the corresponding imaginary number.

• - imag

  Returns zero.

• - imaginary

  Returns zero.

• - initialize_copy

  :nodoc:.

• - integer?

  Returns true if num is an Integer (including Fixnum and Bignum).

• - magnitude

  Returns the absolute value of num.

• - modulo

  x.modulo(y) means x-y*(x/y).floor.

• - nonzero?

  Returns self if num is not zero, nil otherwise.

• - numerator

  Returns the numerator.

• - phase

  Returns 0 if the value is positive, pi otherwise.

• - polar

  Returns an array; [num.abs, num.arg].

• - quo

  Returns most exact division (rational for integers, float for floats).

• - real

  Returns self.

• - real?

  Returns true if num is a Real (i.e. non Complex).

• - rect

  Returns an array; [num, 0].

• - rect

  Returns an array; [num, 0].

• - remainder

  x.remainder(y) means x-y*(x/y).truncate.

• - round

  Rounds num to a given precision in decimal digits (default 0 digits).

• - scalar?

  Returns true if num is an Scalar (i.e. non Complex).

• - singleton_method_added

  Trap attempts to add methods to Numeric objects.

• - step

  Invokes block with the sequence of numbers starting at num, incremented by step (default 1) on each call.

• - to_c

  Returns the value as a complex.

• - to_int

  Invokes the child class's to_i method to convert num to an integer.

• - truncate

  Returns num truncated to an integer.

• - zero?

  Returns true if num has a zero value.

Methods included from Comparable

#, #, #==, #>, #>=, #between?

Methods inherited from NSNumber

#boolValue, #charValue, #compare:, #decimalValue, #descriptionWithLocale:, #doubleValue, #floatValue, #initWithBool:, #initWithChar:, #initWithDouble:, #initWithFloat:, #initWithInt:, #initWithInteger:, #initWithLong:, #initWithLongLong:, #initWithShort:, #initWithUnsignedChar:, #initWithUnsignedInt:, #initWithUnsignedInteger:, #initWithUnsignedLong:, #initWithUnsignedLongLong:, #initWithUnsignedShort:, #intValue, #integerValue, #isEqualToNumber:, #longLongValue, #longValue, numberWithBool:, numberWithChar:, numberWithDouble:, numberWithFloat:, numberWithInt:, numberWithInteger:, numberWithLong:, numberWithLongLong:, numberWithShort:, numberWithUnsignedChar:, numberWithUnsignedInt:, numberWithUnsignedInteger:, numberWithUnsignedLong:, numberWithUnsignedLongLong:, numberWithUnsignedShort:, #objCType, #shortValue, #stringValue, #unsignedCharValue, #unsignedIntValue, #unsignedIntegerValue, #unsignedLongLongValue, #unsignedLongValue, #unsignedShortValue

Methods inherited from NSValue

#getValue:, #initWithBytes:objCType:, #isEqualToValue:, #nonretainedObjectValue, #objCType, #pointerValue, #rangeValue, value:withObjCType:, valueWithBytes:objCType:, valueWithNonretainedObject:, valueWithPointer:, valueWithRange:

Methods inherited from NSObject

#!, #!=, #!~, #==, #===, #=~, #Rational, #__callee__, #__method__, #__send__, #__type__, `, alloc, allocWithZone:, #autoContentAccessingProxy, autoload, autoload?, autorelease_pool, #awakeAfterUsingCoder:, binding, block_given?, caller, cancelPreviousPerformRequestsWithTarget:, cancelPreviousPerformRequestsWithTarget:selector:object:, catch, class, classFallbacksForKeyedArchiver, #classForCoder, #classForKeyedArchiver, classForKeyedUnarchiver, #clone, conformsToProtocol:, #copy, copyWithZone:, #dealloc, #define_singleton_method, description, display, #doesNotRecognizeSelector:, #enum_for, #equal?, #extend, fail, #finalize, format, #forwardInvocation:, #forwardingTargetForSelector:, framework, #freeze, #frozen?, getpass, gets, global_variables, #init, initialize, #initialize_clone, #initialize_dup, #inspect, instanceMethodForSelector:, instanceMethodSignatureForSelector:, #instance_eval, #instance_exec, #instance_of?, #instance_variable_defined?, #instance_variable_get, #instance_variable_set, #instance_variables, instancesRespondToSelector:, isSubclassOfClass:, #is_a?, iterator?, #kind_of?, lambda, load, load_bridge_support_file, load_plist, local_variables, loop, #method, #methodForSelector:, #methodSignatureForSelector:, #methods, #mutableCopy, mutableCopyWithZone:, new, #nil?, open, p, #performSelector:onThread:withObject:waitUntilDone:, #performSelector:onThread:withObject:waitUntilDone:modes:, #performSelector:withObject:afterDelay:, #performSelector:withObject:afterDelay:inModes:, #performSelectorInBackground:withObject:, #performSelectorOnMainThread:withObject:waitUntilDone:, #performSelectorOnMainThread:withObject:waitUntilDone:modes:, print, printf, #private_methods, proc, #protected_methods, #public_method, #public_methods, #public_send, putc, puts, raise, rand, readline, readlines, #replacementObjectForCoder:, #replacementObjectForKeyedArchiver:, require, resolveClassMethod:, resolveInstanceMethod:, #respond_to?, #respond_to_missing?, select, #send, setVersion:, #singleton_methods, sprintf, srand, superclass, #taint, #tainted?, #tap, test, throw, #to_plist, #to_s, trace_var, trap, #trust, #untaint, untrace_var, #untrust, #untrusted?, version

12.abs         #=> 12
(-34.56).abs   #=> 34.56
-34.56.abs     #=> 34.56

1.ceil        #=> 1
1.2.ceil      #=> 2
(-1.2).ceil   #=> -1
(-1.0).ceil   #=> -1

1.coerce(2.5)   #=> [2.5, 1.0]
1.2.coerce(3)   #=> [3.0, 1.2]
1.coerce(2)     #=> [2, 1]

q = floor(x/y)
x = q*y+r

 a    |  b  |  a.divmod(b)  |   a/b   | a.modulo(b) | a.remainder(b)
------+-----+---------------+---------+-------------+---------------
 13   |  4  |   3,    1     |   3     |    1        |     1
------+-----+---------------+---------+-------------+---------------
 13   | -4  |  -4,   -3     |  -4     |   -3        |     1
------+-----+---------------+---------+-------------+---------------
-13   |  4  |  -4,    3     |  -4     |    3        |    -1
------+-----+---------------+---------+-------------+---------------
-13   | -4  |   3,   -1     |   3     |   -1        |    -1
------+-----+---------------+---------+-------------+---------------
 11.5 |  4  |   2,    3.5   |   2.875 |    3.5      |     3.5
------+-----+---------------+---------+-------------+---------------
 11.5 | -4  |  -3,   -0.5   |  -2.875 |   -0.5      |     3.5
------+-----+---------------+---------+-------------+---------------
-11.5 |  4  |  -3,    0.5   |  -2.875 |    0.5      |    -3.5
------+-----+---------------+---------+-------------+---------------
-11.5 | -4  |   2,   -3.5   |   2.875 |   -3.5      |    -3.5

11.divmod(3)         #=> [3, 2]
11.divmod(-3)        #=> [-4, -1]
11.divmod(3.5)       #=> [3, 0.5]
(-11).divmod(3.5)    #=> [-4, 3.0]
(11.5).divmod(3.5)   #=> [3, 1.0]

1 == 1.0          #=> true
1.eql?(1.0)       #=> false
(1.0).eql?(1.0)   #=> true

1.floor      #=> 1
(-1).floor   #=> -1

12.abs         #=> 12
(-34.56).abs   #=> 34.56
-34.56.abs     #=> 34.56

a = %w( z Bb bB bb BB a aA Aa AA A )
b = a.sort {|a,b| (a.downcase <=> b.downcase).nonzero? || a <=> b }
b   #=> ["A", "a", "AA", "Aa", "aA", "BB", "Bb", "bB", "bb", "z"]

1.step(10, 2) { |i| print i, " " }
Math::E.step(Math::PI, 0.2) { |f| print f, " " }

1 3 5 7 9
2.71828182845905 2.91828182845905 3.11828182845905