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ruby--ruby/test/ruby/test_integer.rb

731 lines
26 KiB
Ruby

# frozen_string_literal: false
require 'test/unit'
class TestInteger < Test::Unit::TestCase
BDSIZE = 0x4000000000000000.coerce(0)[0].size
def self.bdsize(x)
((x + 1) / 8 + BDSIZE) / BDSIZE * BDSIZE
end
def bdsize(x)
self.class.bdsize(x)
end
FIXNUM_MIN = RbConfig::LIMITS['FIXNUM_MIN']
FIXNUM_MAX = RbConfig::LIMITS['FIXNUM_MAX']
def test_aref
[
*-16..16,
*(FIXNUM_MIN-2)..(FIXNUM_MIN+2),
*(FIXNUM_MAX-2)..(FIXNUM_MAX+2),
].each do |n|
(-64..64).each do |idx|
assert_equal((n >> idx) & 1, n[idx])
end
[*-66..-62, *-34..-30, *-5..5, *30..34, *62..66].each do |idx|
(0..100).each do |len|
assert_equal((n >> idx) & ((1 << len) - 1), n[idx, len], "#{ n }[#{ idx }, #{ len }]")
end
(0..100).each do |len|
assert_equal((n >> idx) & ((1 << (len + 1)) - 1), n[idx..idx+len], "#{ n }[#{ idx }..#{ idx+len }]")
assert_equal((n >> idx) & ((1 << len) - 1), n[idx...idx+len], "#{ n }[#{ idx }...#{ idx+len }]")
end
# endless
assert_equal((n >> idx), n[idx..], "#{ n }[#{ idx }..]")
assert_equal((n >> idx), n[idx...], "#{ n }[#{ idx }...#]")
# beginless
if idx >= 0 && n & ((1 << (idx + 1)) - 1) != 0
assert_raise(ArgumentError, "#{ n }[..#{ idx }]") { n[..idx] }
else
assert_equal(0, n[..idx], "#{ n }[..#{ idx }]")
end
if idx >= 0 && n & ((1 << idx) - 1) != 0
assert_raise(ArgumentError, "#{ n }[...#{ idx }]") { n[...idx] }
else
assert_equal(0, n[...idx], "#{ n }[...#{ idx }]")
end
end
end
# assert_equal(1, (1 << 0x40000000)[0x40000000], "[ruby-dev:31271]")
# assert_equal(0, (-1 << 0x40000001)[0x40000000], "[ruby-dev:31271]")
big_zero = 0x40000000.coerce(0)[0]
assert_equal(0, (-0x40000002)[big_zero], "[ruby-dev:31271]")
assert_equal(1, 0x400000001[big_zero], "[ruby-dev:31271]")
end
def test_pow
assert_not_equal(0, begin
0**-1
rescue
nil
end, "[ruby-dev:32084] [ruby-dev:34547]")
x = EnvUtil.suppress_warning {2 ** -0x4000000000000000}
assert_in_delta(0.0, (x / 2), Float::EPSILON)
<<~EXPRS.each_line.with_index(__LINE__+1) do |expr, line|
crash01: 111r+11**-11111161111111
crash02: 1118111111111**-1111111111111111**1+1==11111
crash03: -1111111**-1111*11 - -1111111** -111111111
crash04: 1118111111111** -1111111111111111**1+11111111111**1 ===111
crash05: 11** -111155555555555555 -55 !=5-555
crash07: 1 + 111111111**-1111811111
crash08: 18111111111**-1111111111111111**1 + 1111111111**-1111**1
crash10: -7 - -1111111** -1111**11
crash12: 1118111111111** -1111111111111111**1 + 1111 - -1111111** -1111*111111111119
crash13: 1.0i - -1111111** -111111111
crash14: 11111**111111111**111111 * -11111111111111111111**-111111111111
crash15: ~1**1111 + -~1**~1**111
crash17: 11** -1111111**1111 /11i
crash18: 5555i**-5155 - -9111111**-1111**11
crash19: 111111*-11111111111111111111**-1111111111111111
crash20: 1111**111-11**-11111**11
crash21: 11**-10111111119-1i -1r
EXPRS
name, expr = expr.split(':', 2)
assert_ruby_status(%w"-W0", expr, name)
end
end
def test_lshift
assert_equal(0, 1 << -0x40000000)
assert_equal(0, 1 << -0x40000001)
assert_equal(0, 1 << -0x80000000)
assert_equal(0, 1 << -0x80000001)
# assert_equal(bdsize(0x80000000), (1 << 0x80000000).size)
end
def test_rshift
# assert_equal(bdsize(0x40000001), (1 >> -0x40000001).size)
assert_predicate((1 >> 0x80000000), :zero?)
assert_predicate((1 >> 0xffffffff), :zero?)
assert_predicate((1 >> 0x100000000), :zero?)
# assert_equal((1 << 0x40000000), (1 >> -0x40000000))
# assert_equal((1 << 0x40000001), (1 >> -0x40000001))
end
def test_Integer
assert_raise(ArgumentError) {Integer("0x-1")}
assert_raise(ArgumentError) {Integer("-0x-1")}
assert_raise(ArgumentError) {Integer("0x 123")}
assert_raise(ArgumentError) {Integer("0x 123")}
assert_raise(ArgumentError) {Integer("0x0x5")}
assert_raise(ArgumentError) {Integer("0x0x000000005")}
assert_nothing_raised(ArgumentError) {
assert_equal(1540841, "0x0x5".to_i(36))
}
assert_raise(ArgumentError) { Integer("--0") }
assert_raise(ArgumentError) { Integer("-+0") }
assert_raise(ArgumentError) { Integer("++1") }
assert_raise(ArgumentError) { Integer("") }
assert_raise(ArgumentError) { Integer("10 x") }
assert_raise(ArgumentError) { Integer("1__2") }
assert_raise(ArgumentError) { Integer("1z") }
assert_raise(ArgumentError) { Integer("46116860184273__87904") }
assert_raise(ArgumentError) { Integer("4611686018427387904_") }
assert_raise(ArgumentError) { Integer("4611686018427387904 :") }
assert_equal(0x4000000000000000, Integer("46_11_686_0184273_87904"))
assert_raise(ArgumentError) { Integer("\0") }
assert_nothing_raised(ArgumentError, "[ruby-core:13873]") {
assert_equal(0, Integer("0 "))
}
assert_nothing_raised(ArgumentError, "[ruby-core:14139]") {
assert_equal(0377, Integer("0_3_7_7"))
}
assert_raise(ArgumentError, "[ruby-core:14139]") {Integer("0__3_7_7")}
assert_equal(1234, Integer(1234))
assert_equal(1, Integer(1.234))
# base argument
assert_equal(1234, Integer("1234", 10))
assert_equal(668, Integer("1234", 8))
assert_equal(4660, Integer("1234", 16))
assert_equal(49360, Integer("1234", 36))
# decimal, not octal
assert_equal(1234, Integer("01234", 10))
assert_raise(ArgumentError) { Integer("0x123", 10) }
assert_raise(ArgumentError) { Integer(1234, 10) }
assert_raise(ArgumentError) { Integer(12.34, 10) }
assert_raise(ArgumentError) { Integer(Object.new, 1) }
assert_raise(ArgumentError) { Integer(1, 1, 1) }
assert_equal(2 ** 50, Integer(2.0 ** 50))
assert_raise(TypeError) { Integer(nil) }
bug14552 = '[ruby-core:85813]'
obj = Object.new
def obj.to_int; "str"; end
assert_raise(TypeError, bug14552) { Integer(obj) }
def obj.to_i; 42; end
assert_equal(42, Integer(obj), bug14552)
obj = Object.new
def obj.to_i; "str"; end
assert_raise(TypeError) { Integer(obj) }
bug6192 = '[ruby-core:43566]'
assert_raise(Encoding::CompatibilityError, bug6192) {Integer("0".encode("utf-16be"))}
assert_raise(Encoding::CompatibilityError, bug6192) {Integer("0".encode("utf-16le"))}
assert_raise(Encoding::CompatibilityError, bug6192) {Integer("0".encode("utf-32be"))}
assert_raise(Encoding::CompatibilityError, bug6192) {Integer("0".encode("utf-32le"))}
assert_raise(Encoding::CompatibilityError, bug6192) {Integer("0".encode("iso-2022-jp"))}
assert_raise_with_message(ArgumentError, /\u{1f4a1}/) {Integer("\u{1f4a1}")}
obj = Struct.new(:s).new(%w[42 not-an-integer])
def obj.to_str; s.shift; end
assert_equal(42, Integer(obj, 10))
assert_separately([], "#{<<-"begin;"}\n#{<<-"end;"}")
begin;
class Float
undef to_int
def to_int; raise "conversion failed"; end
end
assert_equal (1 << 100), Integer((1 << 100).to_f)
assert_equal 1, Integer(1.0)
end;
end
def test_Integer_with_invalid_exception
assert_raise(ArgumentError) {
Integer("0", exception: 1)
}
end
def test_Integer_with_exception_keyword
assert_nothing_raised(ArgumentError) {
assert_equal(nil, Integer("1z", exception: false))
}
assert_nothing_raised(ArgumentError) {
assert_equal(nil, Integer(Object.new, exception: false))
}
assert_nothing_raised(ArgumentError) {
o = Object.new
def o.to_i; 42.5; end
assert_equal(nil, Integer(o, exception: false))
}
assert_nothing_raised(ArgumentError) {
o = Object.new
def o.to_i; raise; end
assert_equal(nil, Integer(o, exception: false))
}
assert_nothing_raised(ArgumentError) {
o = Object.new
def o.to_int; raise; end
assert_equal(nil, Integer(o, exception: false))
}
assert_nothing_raised(FloatDomainError) {
assert_equal(nil, Integer(Float::INFINITY, exception: false))
}
assert_nothing_raised(FloatDomainError) {
assert_equal(nil, Integer(-Float::INFINITY, exception: false))
}
assert_nothing_raised(FloatDomainError) {
assert_equal(nil, Integer(Float::NAN, exception: false))
}
assert_raise(ArgumentError) {
Integer("1z", exception: true)
}
assert_raise(TypeError) {
Integer(nil, exception: true)
}
assert_nothing_raised(TypeError) {
assert_equal(nil, Integer(nil, exception: false))
}
assert_separately([], "#{<<~"begin;"}\n#{<<~'end;'}")
begin;
class Integer;def method_missing(*);"";end;end
assert_equal(0, Integer("0", 2))
end;
end
def test_Integer_when_to_str
def (obj = Object.new).to_str
"0x10"
end
assert_equal(16, Integer(obj))
end
def test_int_p
assert_not_predicate(1.0, :integer?)
assert_predicate(1, :integer?)
end
def test_succ
assert_equal(2, 1.send(:succ))
end
def test_chr
assert_equal("a", "a".ord.chr)
assert_raise(RangeError) { (-1).chr }
assert_raise(RangeError) { 0x100.chr }
assert_raise_with_message(RangeError, "3000000000 out of char range") { 3_000_000_000.chr }
end
def test_upto
a = []
1.upto(3) {|x| a << x }
assert_equal([1, 2, 3], a)
a = []
1.upto(0) {|x| a << x }
assert_equal([], a)
y = 2**30 - 1
a = []
y.upto(y+2) {|x| a << x }
assert_equal([y, y+1, y+2], a)
end
def test_downto
a = []
-1.downto(-3) {|x| a << x }
assert_equal([-1, -2, -3], a)
a = []
1.downto(2) {|x| a << x }
assert_equal([], a)
y = -(2**30)
a = []
y.downto(y-2) {|x| a << x }
assert_equal([y, y-1, y-2], a)
end
def test_times
(2**32).times do |i|
break if i == 2
end
end
def test_times_bignum_redefine_plus_lt
assert_separately([], "#{<<-"begin;"}\n#{<<~"end;"}")
begin;
called = false
Integer.class_eval do
alias old_plus +
undef +
define_method(:+){|x| called = true; 1}
alias old_lt <
undef <
define_method(:<){|x| called = true}
end
big = 2**65
big.times{break 0}
Integer.class_eval do
undef +
alias + old_plus
undef <
alias < old_lt
end
bug18377 = "[ruby-core:106361]"
assert_equal(false, called, bug18377)
end;
end
def assert_int_equal(expected, result, mesg = nil)
assert_kind_of(Integer, result, mesg)
assert_equal(expected, result, mesg)
end
def assert_float_equal(expected, result, mesg = nil)
assert_kind_of(Float, result, mesg)
assert_equal(expected, result, mesg)
end
def test_round
assert_int_equal(11111, 11111.round)
assert_int_equal(11111, 11111.round(0))
assert_int_equal(11111, 11111.round(1))
assert_int_equal(11111, 11111.round(2))
assert_int_equal(11110, 11111.round(-1))
assert_int_equal(11100, 11111.round(-2))
assert_int_equal(+200, +249.round(-2))
assert_int_equal(+300, +250.round(-2))
assert_int_equal(-200, -249.round(-2))
assert_int_equal(+200, +249.round(-2, half: :even))
assert_int_equal(+200, +250.round(-2, half: :even))
assert_int_equal(+300, +349.round(-2, half: :even))
assert_int_equal(+400, +350.round(-2, half: :even))
assert_int_equal(+200, +249.round(-2, half: :up))
assert_int_equal(+300, +250.round(-2, half: :up))
assert_int_equal(+300, +349.round(-2, half: :up))
assert_int_equal(+400, +350.round(-2, half: :up))
assert_int_equal(+200, +249.round(-2, half: :down))
assert_int_equal(+200, +250.round(-2, half: :down))
assert_int_equal(+300, +349.round(-2, half: :down))
assert_int_equal(+300, +350.round(-2, half: :down))
assert_int_equal(-300, -250.round(-2))
assert_int_equal(-200, -249.round(-2, half: :even))
assert_int_equal(-200, -250.round(-2, half: :even))
assert_int_equal(-300, -349.round(-2, half: :even))
assert_int_equal(-400, -350.round(-2, half: :even))
assert_int_equal(-200, -249.round(-2, half: :up))
assert_int_equal(-300, -250.round(-2, half: :up))
assert_int_equal(-300, -349.round(-2, half: :up))
assert_int_equal(-400, -350.round(-2, half: :up))
assert_int_equal(-200, -249.round(-2, half: :down))
assert_int_equal(-200, -250.round(-2, half: :down))
assert_int_equal(-300, -349.round(-2, half: :down))
assert_int_equal(-300, -350.round(-2, half: :down))
assert_int_equal(+30 * 10**70, (+25 * 10**70).round(-71))
assert_int_equal(-30 * 10**70, (-25 * 10**70).round(-71))
assert_int_equal(+20 * 10**70, (+25 * 10**70 - 1).round(-71))
assert_int_equal(-20 * 10**70, (-25 * 10**70 + 1).round(-71))
assert_int_equal(+40 * 10**70, (+35 * 10**70).round(-71))
assert_int_equal(-40 * 10**70, (-35 * 10**70).round(-71))
assert_int_equal(+30 * 10**70, (+35 * 10**70 - 1).round(-71))
assert_int_equal(-30 * 10**70, (-35 * 10**70 + 1).round(-71))
assert_int_equal(+20 * 10**70, (+25 * 10**70).round(-71, half: :even))
assert_int_equal(-20 * 10**70, (-25 * 10**70).round(-71, half: :even))
assert_int_equal(+20 * 10**70, (+25 * 10**70 - 1).round(-71, half: :even))
assert_int_equal(-20 * 10**70, (-25 * 10**70 + 1).round(-71, half: :even))
assert_int_equal(+40 * 10**70, (+35 * 10**70).round(-71, half: :even))
assert_int_equal(-40 * 10**70, (-35 * 10**70).round(-71, half: :even))
assert_int_equal(+30 * 10**70, (+35 * 10**70 - 1).round(-71, half: :even))
assert_int_equal(-30 * 10**70, (-35 * 10**70 + 1).round(-71, half: :even))
assert_int_equal(+30 * 10**70, (+25 * 10**70).round(-71, half: :up))
assert_int_equal(-30 * 10**70, (-25 * 10**70).round(-71, half: :up))
assert_int_equal(+20 * 10**70, (+25 * 10**70 - 1).round(-71, half: :up))
assert_int_equal(-20 * 10**70, (-25 * 10**70 + 1).round(-71, half: :up))
assert_int_equal(+40 * 10**70, (+35 * 10**70).round(-71, half: :up))
assert_int_equal(-40 * 10**70, (-35 * 10**70).round(-71, half: :up))
assert_int_equal(+30 * 10**70, (+35 * 10**70 - 1).round(-71, half: :up))
assert_int_equal(-30 * 10**70, (-35 * 10**70 + 1).round(-71, half: :up))
assert_int_equal(+20 * 10**70, (+25 * 10**70).round(-71, half: :down))
assert_int_equal(-20 * 10**70, (-25 * 10**70).round(-71, half: :down))
assert_int_equal(+20 * 10**70, (+25 * 10**70 - 1).round(-71, half: :down))
assert_int_equal(-20 * 10**70, (-25 * 10**70 + 1).round(-71, half: :down))
assert_int_equal(+30 * 10**70, (+35 * 10**70).round(-71, half: :down))
assert_int_equal(-30 * 10**70, (-35 * 10**70).round(-71, half: :down))
assert_int_equal(+30 * 10**70, (+35 * 10**70 - 1).round(-71, half: :down))
assert_int_equal(-30 * 10**70, (-35 * 10**70 + 1).round(-71, half: :down))
assert_int_equal(1111_1111_1111_1111_1111_1111_1111_1110, 1111_1111_1111_1111_1111_1111_1111_1111.round(-1))
assert_int_equal(-1111_1111_1111_1111_1111_1111_1111_1110, (-1111_1111_1111_1111_1111_1111_1111_1111).round(-1))
assert_int_equal(1111_1111_1111_1111_1111_1111_1111_1111, 1111_1111_1111_1111_1111_1111_1111_1111.round(1))
assert_int_equal(10**400, (10**400).round(1))
end
def test_floor
assert_int_equal(11111, 11111.floor)
assert_int_equal(11111, 11111.floor(0))
assert_int_equal(11111, 11111.floor(1))
assert_int_equal(11111, 11111.floor(2))
assert_int_equal(11110, 11110.floor(-1))
assert_int_equal(11110, 11119.floor(-1))
assert_int_equal(11100, 11100.floor(-2))
assert_int_equal(11100, 11199.floor(-2))
assert_int_equal(0, 11111.floor(-5))
assert_int_equal(+200, +299.floor(-2))
assert_int_equal(+300, +300.floor(-2))
assert_int_equal(-300, -299.floor(-2))
assert_int_equal(-300, -300.floor(-2))
assert_int_equal(+20 * 10**70, (+25 * 10**70).floor(-71))
assert_int_equal(-30 * 10**70, (-25 * 10**70).floor(-71))
assert_int_equal(+20 * 10**70, (+25 * 10**70 - 1).floor(-71))
assert_int_equal(-30 * 10**70, (-25 * 10**70 + 1).floor(-71))
assert_int_equal(1111_1111_1111_1111_1111_1111_1111_1110, 1111_1111_1111_1111_1111_1111_1111_1111.floor(-1))
assert_int_equal(-1111_1111_1111_1111_1111_1111_1111_1120, (-1111_1111_1111_1111_1111_1111_1111_1111).floor(-1))
assert_int_equal(1111_1111_1111_1111_1111_1111_1111_1111, 1111_1111_1111_1111_1111_1111_1111_1111.floor(1))
assert_int_equal(10**400, (10**400).floor(1))
end
def test_ceil
assert_int_equal(11111, 11111.ceil)
assert_int_equal(11111, 11111.ceil(0))
assert_int_equal(11111, 11111.ceil(1))
assert_int_equal(11111, 11111.ceil(2))
assert_int_equal(11110, 11110.ceil(-1))
assert_int_equal(11120, 11119.ceil(-1))
assert_int_equal(11200, 11101.ceil(-2))
assert_int_equal(11200, 11200.ceil(-2))
assert_int_equal(100000, 11111.ceil(-5))
assert_int_equal(300, 299.ceil(-2))
assert_int_equal(300, 300.ceil(-2))
assert_int_equal(-200, -299.ceil(-2))
assert_int_equal(-300, -300.ceil(-2))
assert_int_equal(+30 * 10**70, (+25 * 10**70).ceil(-71))
assert_int_equal(-20 * 10**70, (-25 * 10**70).ceil(-71))
assert_int_equal(+30 * 10**70, (+25 * 10**70 - 1).ceil(-71))
assert_int_equal(-20 * 10**70, (-25 * 10**70 + 1).ceil(-71))
assert_int_equal(1111_1111_1111_1111_1111_1111_1111_1120, 1111_1111_1111_1111_1111_1111_1111_1111.ceil(-1))
assert_int_equal(-1111_1111_1111_1111_1111_1111_1111_1110, (-1111_1111_1111_1111_1111_1111_1111_1111).ceil(-1))
assert_int_equal(1111_1111_1111_1111_1111_1111_1111_1111, 1111_1111_1111_1111_1111_1111_1111_1111.ceil(1))
assert_int_equal(10**400, (10**400).ceil(1))
end
def test_truncate
assert_int_equal(11111, 11111.truncate)
assert_int_equal(11111, 11111.truncate(0))
assert_int_equal(11111, 11111.truncate(1))
assert_int_equal(11111, 11111.truncate(2))
assert_int_equal(11110, 11110.truncate(-1))
assert_int_equal(11110, 11119.truncate(-1))
assert_int_equal(11100, 11100.truncate(-2))
assert_int_equal(11100, 11199.truncate(-2))
assert_int_equal(0, 11111.truncate(-5))
assert_int_equal(+200, +299.truncate(-2))
assert_int_equal(+300, +300.truncate(-2))
assert_int_equal(-200, -299.truncate(-2))
assert_int_equal(-300, -300.truncate(-2))
assert_int_equal(+20 * 10**70, (+25 * 10**70).truncate(-71))
assert_int_equal(-20 * 10**70, (-25 * 10**70).truncate(-71))
assert_int_equal(+20 * 10**70, (+25 * 10**70 - 1).truncate(-71))
assert_int_equal(-20 * 10**70, (-25 * 10**70 + 1).truncate(-71))
assert_int_equal(1111_1111_1111_1111_1111_1111_1111_1110, 1111_1111_1111_1111_1111_1111_1111_1111.truncate(-1))
assert_int_equal(-1111_1111_1111_1111_1111_1111_1111_1110, (-1111_1111_1111_1111_1111_1111_1111_1111).truncate(-1))
assert_int_equal(1111_1111_1111_1111_1111_1111_1111_1111, 1111_1111_1111_1111_1111_1111_1111_1111.truncate(1))
assert_int_equal(10**400, (10**400).truncate(1))
end
MimicInteger = Struct.new(:to_int)
module CoercionToInt
def coerce(other)
[other, to_int]
end
end
def test_bitwise_and_with_integer_mimic_object
obj = MimicInteger.new(10)
assert_raise(TypeError, '[ruby-core:39491]') { 3 & obj }
obj.extend(CoercionToInt)
assert_equal(3 & 10, 3 & obj)
end
def test_bitwise_or_with_integer_mimic_object
obj = MimicInteger.new(10)
assert_raise(TypeError, '[ruby-core:39491]') { 3 | obj }
obj.extend(CoercionToInt)
assert_equal(3 | 10, 3 | obj)
end
def test_bitwise_xor_with_integer_mimic_object
obj = MimicInteger.new(10)
assert_raise(TypeError, '[ruby-core:39491]') { 3 ^ obj }
obj.extend(CoercionToInt)
assert_equal(3 ^ 10, 3 ^ obj)
end
module CoercionToSelf
def coerce(other)
[self.class.new(other), self]
end
end
def test_bitwise_and_with_integer_coercion
obj = Struct.new(:value) do
include(CoercionToSelf)
def &(other)
self.value & other.value
end
end.new(10)
assert_equal(3 & 10, 3 & obj)
end
def test_bitwise_or_with_integer_coercion
obj = Struct.new(:value) do
include(CoercionToSelf)
def |(other)
self.value | other.value
end
end.new(10)
assert_equal(3 | 10, 3 | obj)
end
def test_bitwise_xor_with_integer_coercion
obj = Struct.new(:value) do
include(CoercionToSelf)
def ^(other)
self.value ^ other.value
end
end.new(10)
assert_equal(3 ^ 10, 3 ^ obj)
end
def test_bit_length
assert_equal(13, (-2**12-1).bit_length)
assert_equal(12, (-2**12).bit_length)
assert_equal(12, (-2**12+1).bit_length)
assert_equal(9, -0x101.bit_length)
assert_equal(8, -0x100.bit_length)
assert_equal(8, -0xff.bit_length)
assert_equal(1, -2.bit_length)
assert_equal(0, -1.bit_length)
assert_equal(0, 0.bit_length)
assert_equal(1, 1.bit_length)
assert_equal(8, 0xff.bit_length)
assert_equal(9, 0x100.bit_length)
assert_equal(9, 0x101.bit_length)
assert_equal(12, (2**12-1).bit_length)
assert_equal(13, (2**12).bit_length)
assert_equal(13, (2**12+1).bit_length)
assert_equal(10001, (-2**10000-1).bit_length)
assert_equal(10000, (-2**10000).bit_length)
assert_equal(10000, (-2**10000+1).bit_length)
assert_equal(10000, (2**10000-1).bit_length)
assert_equal(10001, (2**10000).bit_length)
assert_equal(10001, (2**10000+1).bit_length)
2.upto(1000) {|i|
n = 2**i
assert_equal(i+1, (-n-1).bit_length, "(#{-n-1}).bit_length")
assert_equal(i, (-n).bit_length, "(#{-n}).bit_length")
assert_equal(i, (-n+1).bit_length, "(#{-n+1}).bit_length")
assert_equal(i, (n-1).bit_length, "#{n-1}.bit_length")
assert_equal(i+1, (n).bit_length, "#{n}.bit_length")
assert_equal(i+1, (n+1).bit_length, "#{n+1}.bit_length")
}
end
def test_digits
assert_equal([0], 0.digits)
assert_equal([1], 1.digits)
assert_equal([0, 9, 8, 7, 6, 5, 4, 3, 2, 1], 1234567890.digits)
assert_equal([90, 78, 56, 34, 12], 1234567890.digits(100))
assert_equal([10, 5, 6, 8, 0, 10, 8, 6, 1], 1234567890.digits(13))
assert_equal((2 ** 1024).to_s(7).chars.map(&:to_i).reverse, (2 ** 1024).digits(7))
assert_equal([0] * 100 + [1], (2 ** (128 * 100)).digits(2 ** 128))
end
def test_digits_for_negative_numbers
assert_raise(Math::DomainError) { -1.digits }
assert_raise(Math::DomainError) { -1234567890.digits }
assert_raise(Math::DomainError) { -1234567890.digits(100) }
assert_raise(Math::DomainError) { -1234567890.digits(13) }
end
def test_digits_for_invalid_base_numbers
assert_raise(ArgumentError) { 10.digits(-1) }
assert_raise(ArgumentError) { 10.digits(0) }
assert_raise(ArgumentError) { 10.digits(1) }
end
def test_digits_for_non_integral_base_numbers
assert_equal([1], 1.digits(10r))
assert_equal([1], 1.digits(10.0))
assert_raise(RangeError) { 10.digits(10+1i) }
end
def test_digits_for_non_numeric_base_argument
assert_raise(TypeError) { 10.digits("10") }
assert_raise(TypeError) { 10.digits("a") }
class << (o = Object.new)
def to_int
10
end
end
assert_equal([0, 1], 10.digits(o))
end
def test_square_root
assert_raise(TypeError) {Integer.sqrt("x")}
assert_raise(Math::DomainError) {Integer.sqrt(-1)}
assert_equal(0, Integer.sqrt(0))
(1...4).each {|i| assert_equal(1, Integer.sqrt(i))}
(4...9).each {|i| assert_equal(2, Integer.sqrt(i))}
(9...16).each {|i| assert_equal(3, Integer.sqrt(i))}
(1..40).each do |i|
mesg = "10**#{i}"
s = Integer.sqrt(n = 10**i)
if i.even?
assert_equal(10**(i/2), Integer.sqrt(n), mesg)
else
assert_include((s**2)...(s+1)**2, n, mesg)
end
end
50.step(400, 10) do |i|
exact = 10**(i/2)
x = 10**i
assert_equal(exact, Integer.sqrt(x), "10**#{i}")
assert_equal(exact, Integer.sqrt(x+1), "10**#{i}+1")
assert_equal(exact-1, Integer.sqrt(x-1), "10**#{i}-1")
end
bug13440 = '[ruby-core:80696] [Bug #13440]'
failures = []
0.step(to: 50, by: 0.05) do |i|
n = (10**i).to_i
root = Integer.sqrt(n)
failures << n unless root*root <= n && (root+1)*(root+1) > n
end
assert_empty(failures, bug13440)
x = 0xffff_ffff_ffff_ffff
assert_equal(x, Integer.sqrt(x ** 2), "[ruby-core:95453]")
end
def test_fdiv
assert_equal(1.0, 1.fdiv(1))
assert_equal(0.5, 1.fdiv(2))
end
def test_obj_fdiv
o = Object.new
def o.coerce(x); [x, 0.5]; end
assert_equal(2.0, 1.fdiv(o))
o = Object.new
def o.coerce(x); [self, x]; end
def o.fdiv(x); 1; end
assert_equal(1.0, 1.fdiv(o))
end
def test_try_convert
assert_equal(1, Integer.try_convert(1))
assert_equal(1, Integer.try_convert(1.0))
assert_nil Integer.try_convert("1")
o = Object.new
assert_nil Integer.try_convert(o)
def o.to_i; 1; end
assert_nil Integer.try_convert(o)
o = Object.new
def o.to_int; 1; end
assert_equal(1, Integer.try_convert(o))
o = Object.new
def o.to_int; Object.new; end
assert_raise_with_message(TypeError, /can't convert Object to Integer/) {Integer.try_convert(o)}
end
def test_ceildiv
assert_equal(0, 0.ceildiv(3))
assert_equal(1, 1.ceildiv(3))
assert_equal(1, 3.ceildiv(3))
assert_equal(2, 4.ceildiv(3))
assert_equal(-1, 4.ceildiv(-3))
assert_equal(-1, -4.ceildiv(3))
assert_equal(2, -4.ceildiv(-3))
assert_equal(3, 3.ceildiv(1.2))
assert_equal(3, 3.ceildiv(6/5r))
assert_equal(10, (10**100-11).ceildiv(10**99-1))
assert_equal(11, (10**100-9).ceildiv(10**99-1))
end
end