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4e8d6c105c
git-svn-id: svn+ssh://ci.ruby-lang.org/ruby/trunk@32996 b2dd03c8-39d4-4d8f-98ff-823fe69b080e
1287 lines
44 KiB
Ruby
1287 lines
44 KiB
Ruby
require_relative "testbase"
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require 'thread'
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class TestBigDecimal < Test::Unit::TestCase
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include TestBigDecimalBase
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ROUNDING_MODE_MAP = [
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[ BigDecimal::ROUND_UP, :up],
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[ BigDecimal::ROUND_DOWN, :down],
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[ BigDecimal::ROUND_DOWN, :truncate],
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[ BigDecimal::ROUND_HALF_UP, :half_up],
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[ BigDecimal::ROUND_HALF_UP, :default],
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[ BigDecimal::ROUND_HALF_DOWN, :half_down],
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[ BigDecimal::ROUND_HALF_EVEN, :half_even],
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[ BigDecimal::ROUND_HALF_EVEN, :banker],
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[ BigDecimal::ROUND_CEILING, :ceiling],
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[ BigDecimal::ROUND_CEILING, :ceil],
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[ BigDecimal::ROUND_FLOOR, :floor],
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]
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def assert_nan(x)
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assert(x.nan?, "Expected #{x.inspect} to be NaN")
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end
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def assert_positive_infinite(x)
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assert(x.infinite?, "Expected #{x.inspect} to be positive infinite")
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assert_operator(x, :>, 0)
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end
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def assert_negative_infinite(x)
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assert(x.infinite?, "Expected #{x.inspect} to be negative infinite")
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assert_operator(x, :<, 0)
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end
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def assert_positive_zero(x)
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assert_equal(BigDecimal::SIGN_POSITIVE_ZERO, x.sign,
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"Expected #{x.inspect} to be positive zero")
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end
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def assert_negative_zero(x)
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assert_equal(BigDecimal::SIGN_NEGATIVE_ZERO, x.sign,
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"Expected #{x.inspect} to be negative zero")
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end
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def test_global_new
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assert_equal(1, BigDecimal("1"))
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assert_equal(1, BigDecimal("1", 1))
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assert_raise(ArgumentError) { BigDecimal("1", -1) }
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end
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def test_global_new_with_integer
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assert_equal(BigDecimal("1"), BigDecimal(1))
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assert_equal(BigDecimal("-1"), BigDecimal(-1))
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assert_equal(BigDecimal((2**100).to_s), BigDecimal(2**100))
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assert_equal(BigDecimal((-2**100).to_s), BigDecimal(-2**100))
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end
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def test_global_new_with_rational
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assert_equal(BigDecimal("0.333333333333333333333"), BigDecimal(1.quo(3), 21))
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assert_equal(BigDecimal("-0.333333333333333333333"), BigDecimal(-1.quo(3), 21))
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assert_raise(ArgumentError) { BigDecimal(1.quo(3)) }
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end
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def test_global_new_with_float
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assert_equal(BigDecimal("0.1235"), BigDecimal(0.1234567, 4))
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assert_equal(BigDecimal("-0.1235"), BigDecimal(-0.1234567, 4))
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assert_raise(ArgumentError) { BigDecimal(0.1) }
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assert_raise(ArgumentError) { BigDecimal(0.1, Float::DIG + 2) }
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assert_nothing_raised { BigDecimal(0.1, Float::DIG + 1) }
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end
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def test_global_new_with_big_decimal
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assert_equal(BigDecimal(1), BigDecimal(BigDecimal(1)))
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assert_equal(BigDecimal('+0'), BigDecimal(BigDecimal('+0')))
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assert_equal(BigDecimal('-0'), BigDecimal(BigDecimal('-0')))
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BigDecimal.save_exception_mode do
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BigDecimal.mode(BigDecimal::EXCEPTION_OVERFLOW, false)
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BigDecimal.mode(BigDecimal::EXCEPTION_NaN, false)
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assert_positive_infinite(BigDecimal(BigDecimal('Infinity')))
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assert_negative_infinite(BigDecimal(BigDecimal('-Infinity')))
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assert_nan(BigDecimal(BigDecimal('NaN')))
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end
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end
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def test_new
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assert_equal(1, BigDecimal.new("1"))
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assert_equal(1, BigDecimal.new("1", 1))
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assert_equal(1, BigDecimal.new(" 1 "))
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assert_equal(111, BigDecimal.new("1_1_1_"))
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assert_equal(0, BigDecimal.new("_1_1_1"))
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assert_equal(10**(-1), BigDecimal.new("1E-1"), '#4825')
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BigDecimal.mode(BigDecimal::EXCEPTION_OVERFLOW, false)
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BigDecimal.mode(BigDecimal::EXCEPTION_NaN, false)
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assert_equal( 1, BigDecimal.new("Infinity").infinite?)
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assert_equal(-1, BigDecimal.new("-Infinity").infinite?)
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assert_equal(true, BigDecimal.new("NaN").nan?)
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assert_equal( 1, BigDecimal.new("1E1111111111111111111").infinite?)
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end
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def test_new_with_integer
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assert_equal(BigDecimal("1"), BigDecimal.new(1))
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assert_equal(BigDecimal("-1"), BigDecimal.new(-1))
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assert_equal(BigDecimal((2**100).to_s), BigDecimal.new(2**100))
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assert_equal(BigDecimal((-2**100).to_s), BigDecimal.new(-2**100))
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end
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def test_new_with_rational
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assert_equal(BigDecimal("0.333333333333333333333"), BigDecimal.new(1.quo(3), 21))
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assert_equal(BigDecimal("-0.333333333333333333333"), BigDecimal.new(-1.quo(3), 21))
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assert_raise(ArgumentError) { BigDecimal.new(1.quo(3)) }
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end
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def test_new_with_float
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assert_equal(BigDecimal("0.1235"), BigDecimal(0.1234567, 4))
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assert_equal(BigDecimal("-0.1235"), BigDecimal(-0.1234567, 4))
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assert_raise(ArgumentError) { BigDecimal.new(0.1) }
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assert_raise(ArgumentError) { BigDecimal.new(0.1, Float::DIG + 2) }
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assert_nothing_raised { BigDecimal.new(0.1, Float::DIG + 1) }
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end
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def test_new_with_big_decimal
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assert_equal(BigDecimal(1), BigDecimal.new(BigDecimal(1)))
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assert_equal(BigDecimal('+0'), BigDecimal.new(BigDecimal('+0')))
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assert_equal(BigDecimal('-0'), BigDecimal.new(BigDecimal('-0')))
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BigDecimal.save_exception_mode do
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BigDecimal.mode(BigDecimal::EXCEPTION_OVERFLOW, false)
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BigDecimal.mode(BigDecimal::EXCEPTION_NaN, false)
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assert_positive_infinite(BigDecimal.new(BigDecimal('Infinity')))
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assert_negative_infinite(BigDecimal.new(BigDecimal('-Infinity')))
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assert_nan(BigDecimal(BigDecimal.new('NaN')))
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end
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end
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def _test_mode(type)
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BigDecimal.mode(type, true)
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assert_raise(FloatDomainError) { yield }
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BigDecimal.mode(type, false)
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assert_nothing_raised { yield }
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end
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def test_mode
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assert_raise(ArgumentError) { BigDecimal.mode(BigDecimal::EXCEPTION_ALL, 1) }
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assert_raise(ArgumentError) { BigDecimal.mode(BigDecimal::ROUND_MODE, 256) }
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assert_raise(ArgumentError) { BigDecimal.mode(BigDecimal::ROUND_MODE, :xyzzy) }
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assert_raise(TypeError) { BigDecimal.mode(0xf000, true) }
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begin
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saved_mode = BigDecimal.mode(BigDecimal::ROUND_MODE)
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[ BigDecimal::ROUND_UP,
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BigDecimal::ROUND_DOWN,
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BigDecimal::ROUND_HALF_UP,
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BigDecimal::ROUND_HALF_DOWN,
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BigDecimal::ROUND_CEILING,
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BigDecimal::ROUND_FLOOR,
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BigDecimal::ROUND_HALF_EVEN,
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].each do |mode|
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BigDecimal.mode(BigDecimal::ROUND_MODE, mode)
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assert_equal(mode, BigDecimal.mode(BigDecimal::ROUND_MODE))
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end
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ensure
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BigDecimal.mode(BigDecimal::ROUND_MODE, saved_mode)
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end
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BigDecimal.save_rounding_mode do
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ROUNDING_MODE_MAP.each do |const, sym|
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BigDecimal.mode(BigDecimal::ROUND_MODE, sym)
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assert_equal(const, BigDecimal.mode(BigDecimal::ROUND_MODE))
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end
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end
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end
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def test_thread_local_mode
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begin
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saved_mode = BigDecimal.mode(BigDecimal::ROUND_MODE)
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BigDecimal.mode(BigDecimal::ROUND_MODE, BigDecimal::ROUND_UP)
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Thread.start {
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BigDecimal.mode(BigDecimal::ROUND_MODE, BigDecimal::ROUND_HALF_EVEN)
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assert_equal(BigDecimal::ROUND_HALF_EVEN, BigDecimal.mode(BigDecimal::ROUND_MODE))
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}.join
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assert_equal(BigDecimal::ROUND_UP, BigDecimal.mode(BigDecimal::ROUND_MODE))
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ensure
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BigDecimal.mode(BigDecimal::ROUND_MODE, saved_mode)
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end
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end
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def test_save_exception_mode
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BigDecimal.mode(BigDecimal::EXCEPTION_OVERFLOW, false)
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mode = BigDecimal.mode(BigDecimal::EXCEPTION_OVERFLOW)
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BigDecimal.save_exception_mode do
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BigDecimal.mode(BigDecimal::EXCEPTION_OVERFLOW, true)
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end
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assert_equal(mode, BigDecimal.mode(BigDecimal::EXCEPTION_OVERFLOW))
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BigDecimal.mode(BigDecimal::ROUND_MODE, BigDecimal::ROUND_FLOOR)
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BigDecimal.save_exception_mode do
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BigDecimal.mode(BigDecimal::ROUND_MODE, BigDecimal::ROUND_HALF_EVEN)
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end
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assert_equal(BigDecimal::ROUND_HALF_EVEN, BigDecimal.mode(BigDecimal::ROUND_MODE))
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assert_equal(42, BigDecimal.save_exception_mode { 42 })
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end
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def test_save_rounding_mode
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BigDecimal.mode(BigDecimal::ROUND_MODE, BigDecimal::ROUND_FLOOR)
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BigDecimal.save_rounding_mode do
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BigDecimal.mode(BigDecimal::ROUND_MODE, BigDecimal::ROUND_HALF_EVEN)
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end
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assert_equal(BigDecimal::ROUND_FLOOR, BigDecimal.mode(BigDecimal::ROUND_MODE))
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assert_equal(42, BigDecimal.save_rounding_mode { 42 })
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end
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def test_save_limit
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begin
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old = BigDecimal.limit
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BigDecimal.limit(100)
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BigDecimal.save_limit do
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BigDecimal.limit(200)
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end
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assert_equal(100, BigDecimal.limit);
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ensure
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BigDecimal.limit(old)
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end
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assert_equal(42, BigDecimal.save_limit { 42 })
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end
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def test_exception_nan
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_test_mode(BigDecimal::EXCEPTION_NaN) { BigDecimal.new("NaN") }
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end
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def test_exception_infinity
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_test_mode(BigDecimal::EXCEPTION_INFINITY) { BigDecimal.new("Infinity") }
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end
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def test_exception_underflow
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_test_mode(BigDecimal::EXCEPTION_UNDERFLOW) do
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x = BigDecimal.new("0.1")
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100.times do
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x *= x
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end
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end
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end
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def test_exception_overflow
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_test_mode(BigDecimal::EXCEPTION_OVERFLOW) do
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x = BigDecimal.new("10")
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100.times do
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x *= x
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end
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end
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end
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def test_exception_zerodivide
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BigDecimal.mode(BigDecimal::EXCEPTION_OVERFLOW, false)
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_test_mode(BigDecimal::EXCEPTION_ZERODIVIDE) { 1 / BigDecimal.new("0") }
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_test_mode(BigDecimal::EXCEPTION_ZERODIVIDE) { -1 / BigDecimal.new("0") }
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end
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def test_round_up
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n4 = BigDecimal.new("4") # n4 / 9 = 0.44444...
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n5 = BigDecimal.new("5") # n5 / 9 = 0.55555...
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n6 = BigDecimal.new("6") # n6 / 9 = 0.66666...
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m4, m5, m6 = -n4, -n5, -n6
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n2h = BigDecimal.new("2.5")
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n3h = BigDecimal.new("3.5")
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m2h, m3h = -n2h, -n3h
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BigDecimal.mode(BigDecimal::ROUND_MODE, BigDecimal::ROUND_UP)
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assert_operator(n4, :<, n4 / 9 * 9)
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assert_operator(n5, :<, n5 / 9 * 9)
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assert_operator(n6, :<, n6 / 9 * 9)
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assert_operator(m4, :>, m4 / 9 * 9)
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assert_operator(m5, :>, m5 / 9 * 9)
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assert_operator(m6, :>, m6 / 9 * 9)
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assert_equal(3, n2h.round)
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assert_equal(4, n3h.round)
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assert_equal(-3, m2h.round)
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assert_equal(-4, m3h.round)
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BigDecimal.mode(BigDecimal::ROUND_MODE, BigDecimal::ROUND_DOWN)
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assert_operator(n4, :>, n4 / 9 * 9)
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assert_operator(n5, :>, n5 / 9 * 9)
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assert_operator(n6, :>, n6 / 9 * 9)
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assert_operator(m4, :<, m4 / 9 * 9)
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assert_operator(m5, :<, m5 / 9 * 9)
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assert_operator(m6, :<, m6 / 9 * 9)
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assert_equal(2, n2h.round)
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assert_equal(3, n3h.round)
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assert_equal(-2, m2h.round)
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assert_equal(-3, m3h.round)
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BigDecimal.mode(BigDecimal::ROUND_MODE, BigDecimal::ROUND_HALF_UP)
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assert_operator(n4, :>, n4 / 9 * 9)
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assert_operator(n5, :<, n5 / 9 * 9)
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assert_operator(n6, :<, n6 / 9 * 9)
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assert_operator(m4, :<, m4 / 9 * 9)
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assert_operator(m5, :>, m5 / 9 * 9)
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assert_operator(m6, :>, m6 / 9 * 9)
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assert_equal(3, n2h.round)
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assert_equal(4, n3h.round)
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assert_equal(-3, m2h.round)
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assert_equal(-4, m3h.round)
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BigDecimal.mode(BigDecimal::ROUND_MODE, BigDecimal::ROUND_HALF_DOWN)
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assert_operator(n4, :>, n4 / 9 * 9)
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assert_operator(n5, :>, n5 / 9 * 9)
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assert_operator(n6, :<, n6 / 9 * 9)
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assert_operator(m4, :<, m4 / 9 * 9)
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assert_operator(m5, :<, m5 / 9 * 9)
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assert_operator(m6, :>, m6 / 9 * 9)
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assert_equal(2, n2h.round)
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assert_equal(3, n3h.round)
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assert_equal(-2, m2h.round)
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assert_equal(-3, m3h.round)
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BigDecimal.mode(BigDecimal::ROUND_MODE, BigDecimal::ROUND_HALF_EVEN)
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assert_operator(n4, :>, n4 / 9 * 9)
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assert_operator(n5, :<, n5 / 9 * 9)
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assert_operator(n6, :<, n6 / 9 * 9)
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assert_operator(m4, :<, m4 / 9 * 9)
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assert_operator(m5, :>, m5 / 9 * 9)
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assert_operator(m6, :>, m6 / 9 * 9)
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assert_equal(2, n2h.round)
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assert_equal(4, n3h.round)
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assert_equal(-2, m2h.round)
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assert_equal(-4, m3h.round)
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BigDecimal.mode(BigDecimal::ROUND_MODE, BigDecimal::ROUND_CEILING)
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assert_operator(n4, :<, n4 / 9 * 9)
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assert_operator(n5, :<, n5 / 9 * 9)
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assert_operator(n6, :<, n6 / 9 * 9)
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assert_operator(m4, :<, m4 / 9 * 9)
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assert_operator(m5, :<, m5 / 9 * 9)
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assert_operator(m6, :<, m6 / 9 * 9)
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assert_equal(3, n2h.round)
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assert_equal(4, n3h.round)
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assert_equal(-2, m2h.round)
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assert_equal(-3, m3h.round)
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BigDecimal.mode(BigDecimal::ROUND_MODE, BigDecimal::ROUND_FLOOR)
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assert_operator(n4, :>, n4 / 9 * 9)
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assert_operator(n5, :>, n5 / 9 * 9)
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assert_operator(n6, :>, n6 / 9 * 9)
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assert_operator(m4, :>, m4 / 9 * 9)
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assert_operator(m5, :>, m5 / 9 * 9)
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assert_operator(m6, :>, m6 / 9 * 9)
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assert_equal(2, n2h.round)
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assert_equal(3, n3h.round)
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assert_equal(-3, m2h.round)
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assert_equal(-4, m3h.round)
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end
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def test_zero_p
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assert_equal(true, BigDecimal.new("0").zero?)
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assert_equal(false, BigDecimal.new("1").zero?)
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assert_equal(true, BigDecimal.new("0E200000000000000").zero?)
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end
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def test_nonzero_p
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assert_equal(nil, BigDecimal.new("0").nonzero?)
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assert_equal(BigDecimal.new("1"), BigDecimal.new("1").nonzero?)
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end
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def test_double_fig
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assert_kind_of(Integer, BigDecimal.double_fig)
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end
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def test_cmp
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n1 = BigDecimal.new("1")
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n2 = BigDecimal.new("2")
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assert_equal( 0, n1 <=> n1)
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assert_equal( 1, n2 <=> n1)
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assert_equal(-1, n1 <=> n2)
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assert_operator(n1, :==, n1)
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assert_operator(n1, :!=, n2)
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assert_operator(n1, :<, n2)
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assert_operator(n1, :<=, n1)
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assert_operator(n1, :<=, n2)
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assert_operator(n2, :>, n1)
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assert_operator(n2, :>=, n1)
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assert_operator(n1, :>=, n1)
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assert_operator(BigDecimal.new("-0"), :==, BigDecimal.new("0"))
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assert_operator(BigDecimal.new("0"), :<, BigDecimal.new("1"))
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assert_operator(BigDecimal.new("1"), :>, BigDecimal.new("0"))
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assert_operator(BigDecimal.new("1"), :>, BigDecimal.new("-1"))
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assert_operator(BigDecimal.new("-1"), :<, BigDecimal.new("1"))
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assert_operator(BigDecimal.new((2**100).to_s), :>, BigDecimal.new("1"))
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assert_operator(BigDecimal.new("1"), :<, BigDecimal.new((2**100).to_s))
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BigDecimal.mode(BigDecimal::EXCEPTION_OVERFLOW, false)
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inf = BigDecimal.new("Infinity")
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assert_operator(inf, :>, 1)
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assert_operator(1, :<, inf)
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assert_operator(BigDecimal("1E-1"), :==, 10**(-1), '#4825')
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assert_equal(0, BigDecimal("1E-1") <=> 10**(-1), '#4825')
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end
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def test_cmp_nan
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n1 = BigDecimal.new("1")
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BigDecimal.mode(BigDecimal::EXCEPTION_NaN, false)
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assert_equal(nil, BigDecimal.new("NaN") <=> n1)
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assert_equal(false, BigDecimal.new("NaN") > n1)
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end
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def test_cmp_failing_coercion
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n1 = BigDecimal.new("1")
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assert_equal(nil, n1 <=> nil)
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assert_raise(ArgumentError){n1 > nil}
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end
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def test_cmp_coerce
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n1 = BigDecimal.new("1")
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n2 = BigDecimal.new("2")
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o1 = Object.new; def o1.coerce(x); [x, BigDecimal.new("1")]; end
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o2 = Object.new; def o2.coerce(x); [x, BigDecimal.new("2")]; end
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assert_equal( 0, n1 <=> o1)
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assert_equal( 1, n2 <=> o1)
|
|
assert_equal(-1, n1 <=> o2)
|
|
assert_operator(n1, :==, o1)
|
|
assert_operator(n1, :!=, o2)
|
|
assert_operator(n1, :<, o2)
|
|
assert_operator(n1, :<=, o1)
|
|
assert_operator(n1, :<=, o2)
|
|
assert_operator(n2, :>, o1)
|
|
assert_operator(n2, :>=, o1)
|
|
assert_operator(n1, :>=, 1)
|
|
end
|
|
|
|
def test_cmp_bignum
|
|
assert_operator(BigDecimal.new((2**100).to_s), :==, 2**100)
|
|
end
|
|
|
|
def test_cmp_data
|
|
d = Time.now; def d.coerce(x); [x, x]; end
|
|
assert_operator(BigDecimal.new((2**100).to_s), :==, d)
|
|
end
|
|
|
|
def test_precs
|
|
a = BigDecimal.new("1").precs
|
|
assert_instance_of(Array, a)
|
|
assert_equal(2, a.size)
|
|
assert_kind_of(Integer, a[0])
|
|
assert_kind_of(Integer, a[1])
|
|
end
|
|
|
|
def test_hash
|
|
a = []
|
|
b = BigDecimal.new("1")
|
|
10.times { a << b *= 10 }
|
|
h = {}
|
|
a.each_with_index {|x, i| h[x] = i }
|
|
a.each_with_index do |x, i|
|
|
assert_equal(i, h[x])
|
|
end
|
|
end
|
|
|
|
def test_marshal
|
|
s = Marshal.dump(BigDecimal("1", 1))
|
|
assert_equal(BigDecimal("1", 1), Marshal.load(s))
|
|
|
|
# corrupt data
|
|
s = s.gsub(/BigDecimal.*\z/m) {|x| x.gsub(/\d/m, "-") }
|
|
assert_raise(TypeError) { Marshal.load(s) }
|
|
end
|
|
|
|
def test_finite_infinite_nan
|
|
BigDecimal.mode(BigDecimal::EXCEPTION_OVERFLOW, false)
|
|
BigDecimal.mode(BigDecimal::EXCEPTION_ZERODIVIDE, false)
|
|
|
|
x = BigDecimal.new("0")
|
|
assert_equal(true, x.finite?)
|
|
assert_equal(nil, x.infinite?)
|
|
assert_equal(false, x.nan?)
|
|
y = 1 / x
|
|
assert_equal(false, y.finite?)
|
|
assert_equal(1, y.infinite?)
|
|
assert_equal(false, y.nan?)
|
|
y = -1 / x
|
|
assert_equal(false, y.finite?)
|
|
assert_equal(-1, y.infinite?)
|
|
assert_equal(false, y.nan?)
|
|
|
|
BigDecimal.mode(BigDecimal::EXCEPTION_NaN, false)
|
|
y = 0 / x
|
|
assert_equal(false, y.finite?)
|
|
assert_equal(nil, y.infinite?)
|
|
assert_equal(true, y.nan?)
|
|
end
|
|
|
|
def test_to_i
|
|
BigDecimal.mode(BigDecimal::EXCEPTION_OVERFLOW, false)
|
|
BigDecimal.mode(BigDecimal::EXCEPTION_NaN, false)
|
|
|
|
x = BigDecimal.new("0")
|
|
assert_kind_of(Integer, x.to_i)
|
|
assert_equal(0, x.to_i)
|
|
assert_raise(FloatDomainError){( 1 / x).to_i}
|
|
assert_raise(FloatDomainError){(-1 / x).to_i}
|
|
assert_raise(FloatDomainError) {( 0 / x).to_i}
|
|
x = BigDecimal.new("1")
|
|
assert_equal(1, x.to_i)
|
|
x = BigDecimal.new((2**100).to_s)
|
|
assert_equal(2**100, x.to_i)
|
|
end
|
|
|
|
def test_to_f
|
|
BigDecimal.mode(BigDecimal::EXCEPTION_OVERFLOW, false)
|
|
BigDecimal.mode(BigDecimal::EXCEPTION_NaN, false)
|
|
BigDecimal.mode(BigDecimal::EXCEPTION_ZERODIVIDE, false)
|
|
|
|
x = BigDecimal.new("0")
|
|
assert_instance_of(Float, x.to_f)
|
|
assert_equal(0.0, x.to_f)
|
|
assert_equal( 1.0 / 0.0, ( 1 / x).to_f)
|
|
assert_equal(-1.0 / 0.0, (-1 / x).to_f)
|
|
assert_equal(true, ( 0 / x).to_f.nan?)
|
|
x = BigDecimal.new("1")
|
|
assert_equal(1.0, x.to_f)
|
|
x = BigDecimal.new((2**100).to_s)
|
|
assert_equal((2**100).to_f, x.to_f)
|
|
x = BigDecimal.new("1" + "0" * 10000)
|
|
assert_equal(0, BigDecimal.new("-0").to_f)
|
|
|
|
BigDecimal.mode(BigDecimal::EXCEPTION_OVERFLOW, true)
|
|
assert_raise(FloatDomainError) { x.to_f }
|
|
BigDecimal.mode(BigDecimal::EXCEPTION_OVERFLOW, false)
|
|
assert_kind_of(Float, x .to_f)
|
|
assert_kind_of(Float, (-x).to_f)
|
|
|
|
BigDecimal.mode(BigDecimal::EXCEPTION_UNDERFLOW, true)
|
|
assert_raise(FloatDomainError) {
|
|
BigDecimal("1e#{Float::MIN_10_EXP - 2*Float::DIG}").to_f }
|
|
assert_raise(FloatDomainError) {
|
|
BigDecimal("-1e#{Float::MIN_10_EXP - 2*Float::DIG}").to_f }
|
|
|
|
BigDecimal.mode(BigDecimal::EXCEPTION_UNDERFLOW, false)
|
|
assert_equal( 0.0, BigDecimal("1e#{Float::MIN_10_EXP - 2*Float::DIG}").to_f)
|
|
assert_equal(-0.0, BigDecimal("-1e#{Float::MIN_10_EXP - 2*Float::DIG}").to_f)
|
|
end
|
|
|
|
def test_coerce
|
|
a, b = BigDecimal.new("1").coerce(1.0)
|
|
assert_instance_of(Float, a)
|
|
assert_instance_of(Float, b)
|
|
assert_equal(2, 1 + BigDecimal.new("1"), '[ruby-core:25697]')
|
|
|
|
a, b = BigDecimal("1").coerce(1.quo(10))
|
|
assert_equal(BigDecimal("0.1"), a, '[ruby-core:34318]')
|
|
|
|
a, b = BigDecimal("0.11111").coerce(1.quo(3))
|
|
assert_equal(BigDecimal("0." + "3"*a.precs[0]), a)
|
|
end
|
|
|
|
def test_uplus
|
|
x = BigDecimal.new("1")
|
|
assert_equal(x, x.send(:+@))
|
|
end
|
|
|
|
def test_add
|
|
x = BigDecimal.new("1")
|
|
assert_equal(BigDecimal.new("2"), x + x)
|
|
assert_equal(1, BigDecimal.new("0") + 1)
|
|
assert_equal(1, x + 0)
|
|
|
|
assert_equal(BigDecimal::SIGN_POSITIVE_ZERO, (BigDecimal.new("0") + 0).sign)
|
|
assert_equal(BigDecimal::SIGN_POSITIVE_ZERO, (BigDecimal.new("-0") + 0).sign)
|
|
assert_equal(BigDecimal::SIGN_NEGATIVE_ZERO, (BigDecimal.new("-0") + BigDecimal.new("-0")).sign)
|
|
|
|
x = BigDecimal.new((2**100).to_s)
|
|
assert_equal(BigDecimal.new((2**100+1).to_s), x + 1)
|
|
end
|
|
|
|
def test_sub
|
|
x = BigDecimal.new("1")
|
|
assert_equal(BigDecimal.new("0"), x - x)
|
|
assert_equal(-1, BigDecimal.new("0") - 1)
|
|
assert_equal(1, x - 0)
|
|
|
|
assert_equal(BigDecimal::SIGN_POSITIVE_ZERO, (BigDecimal.new("0") - 0).sign)
|
|
assert_equal(BigDecimal::SIGN_NEGATIVE_ZERO, (BigDecimal.new("-0") - 0).sign)
|
|
assert_equal(BigDecimal::SIGN_POSITIVE_ZERO, (BigDecimal.new("-0") - BigDecimal.new("-0")).sign)
|
|
|
|
x = BigDecimal.new((2**100).to_s)
|
|
assert_equal(BigDecimal.new((2**100-1).to_s), x - 1)
|
|
end
|
|
|
|
def test_mult
|
|
x = BigDecimal.new((2**100).to_s)
|
|
assert_equal(BigDecimal.new((2**100 * 3).to_s), (x * 3).to_i)
|
|
assert_equal(x, (x * 1).to_i)
|
|
assert_equal(x, (BigDecimal("1") * x).to_i)
|
|
assert_equal(BigDecimal.new((2**200).to_s), (x * x).to_i)
|
|
end
|
|
|
|
def test_div
|
|
x = BigDecimal.new((2**100).to_s)
|
|
assert_equal(BigDecimal.new((2**100 / 3).to_s), (x / 3).to_i)
|
|
assert_equal(BigDecimal::SIGN_POSITIVE_ZERO, (BigDecimal.new("0") / 1).sign)
|
|
assert_equal(BigDecimal::SIGN_NEGATIVE_ZERO, (BigDecimal.new("-0") / 1).sign)
|
|
assert_equal(2, BigDecimal.new("2") / 1)
|
|
assert_equal(-2, BigDecimal.new("2") / -1)
|
|
end
|
|
|
|
def test_mod
|
|
x = BigDecimal.new((2**100).to_s)
|
|
assert_equal(1, x % 3)
|
|
assert_equal(2, (-x) % 3)
|
|
assert_equal(-2, x % -3)
|
|
assert_equal(-1, (-x) % -3)
|
|
end
|
|
|
|
def test_remainder
|
|
x = BigDecimal.new((2**100).to_s)
|
|
assert_equal(1, x.remainder(3))
|
|
assert_equal(-1, (-x).remainder(3))
|
|
assert_equal(1, x.remainder(-3))
|
|
assert_equal(-1, (-x).remainder(-3))
|
|
end
|
|
|
|
def test_divmod
|
|
x = BigDecimal.new((2**100).to_s)
|
|
assert_equal([(x / 3).floor, 1], x.divmod(3))
|
|
assert_equal([(-x / 3).floor, 2], (-x).divmod(3))
|
|
|
|
assert_equal([0, 0], BigDecimal.new("0").divmod(2))
|
|
|
|
BigDecimal.mode(BigDecimal::EXCEPTION_NaN, false)
|
|
assert_raise(ZeroDivisionError){BigDecimal.new("0").divmod(0)}
|
|
end
|
|
|
|
def test_add_bigdecimal
|
|
x = BigDecimal.new((2**100).to_s)
|
|
assert_equal(3000000000000000000000000000000, x.add(x, 1))
|
|
assert_equal(2500000000000000000000000000000, x.add(x, 2))
|
|
assert_equal(2540000000000000000000000000000, x.add(x, 3))
|
|
end
|
|
|
|
def test_sub_bigdecimal
|
|
x = BigDecimal.new((2**100).to_s)
|
|
assert_equal(1000000000000000000000000000000, x.sub(1, 1))
|
|
assert_equal(1300000000000000000000000000000, x.sub(1, 2))
|
|
assert_equal(1270000000000000000000000000000, x.sub(1, 3))
|
|
end
|
|
|
|
def test_mult_bigdecimal
|
|
x = BigDecimal.new((2**100).to_s)
|
|
assert_equal(4000000000000000000000000000000, x.mult(3, 1))
|
|
assert_equal(3800000000000000000000000000000, x.mult(3, 2))
|
|
assert_equal(3800000000000000000000000000000, x.mult(3, 3))
|
|
end
|
|
|
|
def test_div_bigdecimal
|
|
x = BigDecimal.new((2**100).to_s)
|
|
assert_equal(422550200076076467165567735125, x.div(3))
|
|
assert_equal(400000000000000000000000000000, x.div(3, 1))
|
|
assert_equal(420000000000000000000000000000, x.div(3, 2))
|
|
assert_equal(423000000000000000000000000000, x.div(3, 3))
|
|
end
|
|
|
|
def test_abs_bigdecimal
|
|
x = BigDecimal.new((2**100).to_s)
|
|
assert_equal(1267650600228229401496703205376, x.abs)
|
|
x = BigDecimal.new("-" + (2**100).to_s)
|
|
assert_equal(1267650600228229401496703205376, x.abs)
|
|
x = BigDecimal.new("0")
|
|
assert_equal(0, x.abs)
|
|
BigDecimal.mode(BigDecimal::EXCEPTION_NaN, false)
|
|
x = BigDecimal.new("NaN")
|
|
assert_equal(true, x.abs.nan?)
|
|
end
|
|
|
|
def test_sqrt_bigdecimal
|
|
x = BigDecimal.new("0.09")
|
|
assert_in_delta(0.3, x.sqrt(1), 0.001)
|
|
x = BigDecimal.new((2**100).to_s)
|
|
y = BigDecimal("1125899906842624")
|
|
e = y.exponent
|
|
assert_equal(true, (x.sqrt(100) - y).abs < BigDecimal("1E#{e-100}"))
|
|
assert_equal(true, (x.sqrt(200) - y).abs < BigDecimal("1E#{e-200}"))
|
|
assert_equal(true, (x.sqrt(300) - y).abs < BigDecimal("1E#{e-300}"))
|
|
x = BigDecimal.new("-" + (2**100).to_s)
|
|
assert_raise(FloatDomainError) { x.sqrt(1) }
|
|
x = BigDecimal.new((2**200).to_s)
|
|
assert_equal(2**100, x.sqrt(1))
|
|
|
|
BigDecimal.mode(BigDecimal::EXCEPTION_OVERFLOW, false)
|
|
BigDecimal.mode(BigDecimal::EXCEPTION_NaN, false)
|
|
assert_raise(FloatDomainError) { BigDecimal.new("NaN").sqrt(1) }
|
|
|
|
assert_equal(0, BigDecimal.new("0").sqrt(1))
|
|
assert_equal(1, BigDecimal.new("1").sqrt(1))
|
|
end
|
|
|
|
def test_fix
|
|
x = BigDecimal.new("1.1")
|
|
assert_equal(1, x.fix)
|
|
end
|
|
|
|
def test_frac
|
|
x = BigDecimal.new("1.1")
|
|
assert_equal(0.1, x.frac)
|
|
assert_equal(0.1, BigDecimal.new("0.1").frac)
|
|
BigDecimal.mode(BigDecimal::EXCEPTION_NaN, false)
|
|
assert_equal(true, BigDecimal.new("NaN").frac.nan?)
|
|
end
|
|
|
|
def test_round
|
|
assert_equal(3, BigDecimal.new("3.14159").round)
|
|
assert_equal(9, BigDecimal.new("8.7").round)
|
|
assert_equal(3.142, BigDecimal.new("3.14159").round(3))
|
|
assert_equal(13300.0, BigDecimal.new("13345.234").round(-2))
|
|
|
|
x = BigDecimal.new("111.111")
|
|
assert_equal(111 , x.round)
|
|
assert_equal(111.1 , x.round(1))
|
|
assert_equal(111.11 , x.round(2))
|
|
assert_equal(111.111, x.round(3))
|
|
assert_equal(111.111, x.round(4))
|
|
assert_equal(110 , x.round(-1))
|
|
assert_equal(100 , x.round(-2))
|
|
assert_equal( 0 , x.round(-3))
|
|
assert_equal( 0 , x.round(-4))
|
|
|
|
x = BigDecimal.new("2.5")
|
|
assert_equal(3, x.round(0, BigDecimal::ROUND_UP))
|
|
assert_equal(2, x.round(0, BigDecimal::ROUND_DOWN))
|
|
assert_equal(3, x.round(0, BigDecimal::ROUND_HALF_UP))
|
|
assert_equal(2, x.round(0, BigDecimal::ROUND_HALF_DOWN))
|
|
assert_equal(2, x.round(0, BigDecimal::ROUND_HALF_EVEN))
|
|
assert_equal(3, x.round(0, BigDecimal::ROUND_CEILING))
|
|
assert_equal(2, x.round(0, BigDecimal::ROUND_FLOOR))
|
|
assert_raise(ArgumentError) { x.round(0, 256) }
|
|
|
|
ROUNDING_MODE_MAP.each do |const, sym|
|
|
assert_equal(x.round(0, const), x.round(0, sym))
|
|
end
|
|
|
|
bug3803 = '[ruby-core:32136]'
|
|
15.times do |n|
|
|
x = BigDecimal.new("5#{'0'*n}1")
|
|
assert_equal(10**(n+2), x.round(-(n+2), BigDecimal::ROUND_HALF_DOWN), bug3803)
|
|
assert_equal(10**(n+2), x.round(-(n+2), BigDecimal::ROUND_HALF_EVEN), bug3803)
|
|
x = BigDecimal.new("0.5#{'0'*n}1")
|
|
assert_equal(1, x.round(0, BigDecimal::ROUND_HALF_DOWN), bug3803)
|
|
assert_equal(1, x.round(0, BigDecimal::ROUND_HALF_EVEN), bug3803)
|
|
x = BigDecimal.new("-0.5#{'0'*n}1")
|
|
assert_equal(-1, x.round(0, BigDecimal::ROUND_HALF_DOWN), bug3803)
|
|
assert_equal(-1, x.round(0, BigDecimal::ROUND_HALF_EVEN), bug3803)
|
|
end
|
|
end
|
|
|
|
def test_truncate
|
|
assert_equal(3, BigDecimal.new("3.14159").truncate)
|
|
assert_equal(8, BigDecimal.new("8.7").truncate)
|
|
assert_equal(3.141, BigDecimal.new("3.14159").truncate(3))
|
|
assert_equal(13300.0, BigDecimal.new("13345.234").truncate(-2))
|
|
end
|
|
|
|
def test_floor
|
|
assert_equal(3, BigDecimal.new("3.14159").floor)
|
|
assert_equal(-10, BigDecimal.new("-9.1").floor)
|
|
assert_equal(3.141, BigDecimal.new("3.14159").floor(3))
|
|
assert_equal(13300.0, BigDecimal.new("13345.234").floor(-2))
|
|
end
|
|
|
|
def test_ceil
|
|
assert_equal(4, BigDecimal.new("3.14159").ceil)
|
|
assert_equal(-9, BigDecimal.new("-9.1").ceil)
|
|
assert_equal(3.142, BigDecimal.new("3.14159").ceil(3))
|
|
assert_equal(13400.0, BigDecimal.new("13345.234").ceil(-2))
|
|
end
|
|
|
|
def test_to_s
|
|
assert_equal('-123.45678 90123 45678 9', BigDecimal.new('-123.45678901234567890').to_s('5F'))
|
|
assert_equal('+123.45678901 23456789', BigDecimal.new('123.45678901234567890').to_s('+8F'))
|
|
assert_equal(' 123.4567890123456789', BigDecimal.new('123.45678901234567890').to_s(' F'))
|
|
assert_equal('0.1234567890123456789E3', BigDecimal.new('123.45678901234567890').to_s)
|
|
assert_equal('0.12345 67890 12345 6789E3', BigDecimal.new('123.45678901234567890').to_s(5))
|
|
end
|
|
|
|
def test_split
|
|
x = BigDecimal.new('-123.45678901234567890')
|
|
assert_equal([-1, "1234567890123456789", 10, 3], x.split)
|
|
assert_equal([1, "0", 10, 0], BigDecimal.new("0").split)
|
|
assert_equal([-1, "0", 10, 0], BigDecimal.new("-0").split)
|
|
|
|
BigDecimal.mode(BigDecimal::EXCEPTION_OVERFLOW, false)
|
|
BigDecimal.mode(BigDecimal::EXCEPTION_NaN, false)
|
|
assert_equal([0, "NaN", 10, 0], BigDecimal.new("NaN").split)
|
|
assert_equal([1, "Infinity", 10, 0], BigDecimal.new("Infinity").split)
|
|
assert_equal([-1, "Infinity", 10, 0], BigDecimal.new("-Infinity").split)
|
|
end
|
|
|
|
def test_exponent
|
|
x = BigDecimal.new('-123.45678901234567890')
|
|
assert_equal(3, x.exponent)
|
|
end
|
|
|
|
def test_inspect
|
|
x = BigDecimal.new("1234.5678")
|
|
prec, maxprec = x.precs
|
|
assert_match(/^#<BigDecimal:[0-9a-f]+,'0.12345678E4',#{prec}\(#{maxprec}\)>$/, x.inspect)
|
|
end
|
|
|
|
def test_power_with_nil
|
|
assert_raise(TypeError) do
|
|
BigDecimal(3) ** nil
|
|
end
|
|
end
|
|
|
|
def test_power_of_nan
|
|
BigDecimal.save_exception_mode do
|
|
BigDecimal.mode(BigDecimal::EXCEPTION_NaN, false)
|
|
assert_nan(BigDecimal::NAN ** 0)
|
|
assert_nan(BigDecimal::NAN ** 1)
|
|
assert_nan(BigDecimal::NAN ** 42)
|
|
assert_nan(BigDecimal::NAN ** -42)
|
|
assert_nan(BigDecimal::NAN ** 42.0)
|
|
assert_nan(BigDecimal::NAN ** -42.0)
|
|
assert_nan(BigDecimal::NAN ** BigDecimal(42))
|
|
assert_nan(BigDecimal::NAN ** BigDecimal(-42))
|
|
assert_nan(BigDecimal::NAN ** BigDecimal::INFINITY)
|
|
BigDecimal.save_exception_mode do
|
|
BigDecimal.mode(BigDecimal::EXCEPTION_INFINITY, false)
|
|
assert_nan(BigDecimal::NAN ** (-BigDecimal::INFINITY))
|
|
end
|
|
end
|
|
end
|
|
|
|
def test_power_with_Bignum
|
|
BigDecimal.save_exception_mode do
|
|
BigDecimal.mode(BigDecimal::EXCEPTION_INFINITY, false)
|
|
assert_equal(0, BigDecimal(0) ** (2**100))
|
|
|
|
assert_positive_infinite(BigDecimal(0) ** -(2**100))
|
|
assert_positive_infinite((-BigDecimal(0)) ** -(2**100))
|
|
assert_negative_infinite((-BigDecimal(0)) ** -(2**100 + 1))
|
|
|
|
assert_equal(1, BigDecimal(1) ** (2**100))
|
|
|
|
assert_positive_infinite(BigDecimal(3) ** (2**100))
|
|
assert_positive_zero(BigDecimal(3) ** (-2**100))
|
|
|
|
assert_negative_infinite(BigDecimal(-3) ** (2**100))
|
|
assert_positive_infinite(BigDecimal(-3) ** (2**100 + 1))
|
|
assert_negative_zero(BigDecimal(-3) ** (-2**100))
|
|
assert_positive_zero(BigDecimal(-3) ** (-2**100 - 1))
|
|
|
|
assert_positive_zero(BigDecimal(0.5, Float::DIG) ** (2**100))
|
|
assert_positive_infinite(BigDecimal(0.5, Float::DIG) ** (-2**100))
|
|
|
|
assert_negative_zero(BigDecimal(-0.5, Float::DIG) ** (2**100))
|
|
assert_positive_zero(BigDecimal(-0.5, Float::DIG) ** (2**100 - 1))
|
|
assert_negative_infinite(BigDecimal(-0.5, Float::DIG) ** (-2**100))
|
|
assert_positive_infinite(BigDecimal(-0.5, Float::DIG) ** (-2**100 - 1))
|
|
end
|
|
end
|
|
|
|
def test_power_with_BigDecimal
|
|
assert_nothing_raised do
|
|
assert_in_delta(3 ** 3, BigDecimal(3) ** BigDecimal(3))
|
|
end
|
|
end
|
|
|
|
def test_power_of_finite_with_zero
|
|
x = BigDecimal(1)
|
|
assert_equal(1, x ** 0)
|
|
assert_equal(1, x ** 0.quo(1))
|
|
assert_equal(1, x ** 0.0)
|
|
assert_equal(1, x ** BigDecimal(0))
|
|
|
|
x = BigDecimal(42)
|
|
assert_equal(1, x ** 0)
|
|
assert_equal(1, x ** 0.quo(1))
|
|
assert_equal(1, x ** 0.0)
|
|
assert_equal(1, x ** BigDecimal(0))
|
|
|
|
x = BigDecimal(-42)
|
|
assert_equal(1, x ** 0)
|
|
assert_equal(1, x ** 0.quo(1))
|
|
assert_equal(1, x ** 0.0)
|
|
assert_equal(1, x ** BigDecimal(0))
|
|
end
|
|
|
|
def test_power_of_three
|
|
x = BigDecimal(3)
|
|
assert_equal(81, x ** 4)
|
|
assert_equal(1.quo(81), x ** -4)
|
|
assert_in_delta(1.0/81, x ** -4)
|
|
end
|
|
|
|
def test_power_of_zero
|
|
zero = BigDecimal(0)
|
|
assert_equal(0, zero ** 4)
|
|
assert_equal(0, zero ** 4.quo(1))
|
|
assert_equal(0, zero ** 4.0)
|
|
assert_equal(0, zero ** BigDecimal(4))
|
|
assert_equal(1, zero ** 0)
|
|
assert_equal(1, zero ** 0.quo(1))
|
|
assert_equal(1, zero ** 0.0)
|
|
assert_equal(1, zero ** BigDecimal(0))
|
|
BigDecimal.save_exception_mode do
|
|
BigDecimal.mode(BigDecimal::EXCEPTION_INFINITY, false)
|
|
BigDecimal.mode(BigDecimal::EXCEPTION_OVERFLOW, false)
|
|
assert_positive_infinite(zero ** -1)
|
|
assert_positive_infinite(zero ** -1.quo(1))
|
|
assert_positive_infinite(zero ** -1.0)
|
|
assert_positive_infinite(zero ** BigDecimal(-1))
|
|
|
|
m_zero = BigDecimal("-0")
|
|
assert_negative_infinite(m_zero ** -1)
|
|
assert_negative_infinite(m_zero ** -1.quo(1))
|
|
assert_negative_infinite(m_zero ** -1.0)
|
|
assert_negative_infinite(m_zero ** BigDecimal(-1))
|
|
assert_positive_infinite(m_zero ** -2)
|
|
assert_positive_infinite(m_zero ** -2.quo(1))
|
|
assert_positive_infinite(m_zero ** -2.0)
|
|
assert_positive_infinite(m_zero ** BigDecimal(-2))
|
|
end
|
|
end
|
|
|
|
def test_power_of_positive_infinity
|
|
BigDecimal.save_exception_mode do
|
|
BigDecimal.mode(BigDecimal::EXCEPTION_OVERFLOW, false)
|
|
assert_positive_infinite(BigDecimal::INFINITY ** 3)
|
|
assert_positive_infinite(BigDecimal::INFINITY ** 3.quo(1))
|
|
assert_positive_infinite(BigDecimal::INFINITY ** 3.0)
|
|
assert_positive_infinite(BigDecimal::INFINITY ** BigDecimal(3))
|
|
assert_positive_infinite(BigDecimal::INFINITY ** 2)
|
|
assert_positive_infinite(BigDecimal::INFINITY ** 2.quo(1))
|
|
assert_positive_infinite(BigDecimal::INFINITY ** 2.0)
|
|
assert_positive_infinite(BigDecimal::INFINITY ** BigDecimal(2))
|
|
assert_positive_infinite(BigDecimal::INFINITY ** 1)
|
|
assert_positive_infinite(BigDecimal::INFINITY ** 1.quo(1))
|
|
assert_positive_infinite(BigDecimal::INFINITY ** 1.0)
|
|
assert_positive_infinite(BigDecimal::INFINITY ** BigDecimal(1))
|
|
assert_equal(1, BigDecimal::INFINITY ** 0)
|
|
assert_equal(1, BigDecimal::INFINITY ** 0.quo(1))
|
|
assert_equal(1, BigDecimal::INFINITY ** 0.0)
|
|
assert_equal(1, BigDecimal::INFINITY ** BigDecimal(0))
|
|
assert_positive_zero(BigDecimal::INFINITY ** -1)
|
|
assert_positive_zero(BigDecimal::INFINITY ** -1.quo(1))
|
|
assert_positive_zero(BigDecimal::INFINITY ** -1.0)
|
|
assert_positive_zero(BigDecimal::INFINITY ** BigDecimal(-1))
|
|
assert_positive_zero(BigDecimal::INFINITY ** -2)
|
|
assert_positive_zero(BigDecimal::INFINITY ** -2.0)
|
|
assert_positive_zero(BigDecimal::INFINITY ** BigDecimal(-2))
|
|
end
|
|
end
|
|
|
|
def test_power_of_negative_infinity
|
|
BigDecimal.save_exception_mode do
|
|
BigDecimal.mode(BigDecimal::EXCEPTION_OVERFLOW, false)
|
|
assert_negative_infinite((-BigDecimal::INFINITY) ** 3)
|
|
assert_negative_infinite((-BigDecimal::INFINITY) ** 3.quo(1))
|
|
assert_negative_infinite((-BigDecimal::INFINITY) ** 3.0)
|
|
assert_negative_infinite((-BigDecimal::INFINITY) ** BigDecimal(3))
|
|
assert_positive_infinite((-BigDecimal::INFINITY) ** 2)
|
|
assert_positive_infinite((-BigDecimal::INFINITY) ** 2.quo(1))
|
|
assert_positive_infinite((-BigDecimal::INFINITY) ** 2.0)
|
|
assert_positive_infinite((-BigDecimal::INFINITY) ** BigDecimal(2))
|
|
assert_negative_infinite((-BigDecimal::INFINITY) ** 1)
|
|
assert_negative_infinite((-BigDecimal::INFINITY) ** 1.quo(1))
|
|
assert_negative_infinite((-BigDecimal::INFINITY) ** 1.0)
|
|
assert_negative_infinite((-BigDecimal::INFINITY) ** BigDecimal(1))
|
|
assert_equal(1, (-BigDecimal::INFINITY) ** 0)
|
|
assert_equal(1, (-BigDecimal::INFINITY) ** 0.quo(1))
|
|
assert_equal(1, (-BigDecimal::INFINITY) ** 0.0)
|
|
assert_equal(1, (-BigDecimal::INFINITY) ** BigDecimal(0))
|
|
assert_negative_zero((-BigDecimal::INFINITY) ** -1)
|
|
assert_negative_zero((-BigDecimal::INFINITY) ** -1.quo(1))
|
|
assert_negative_zero((-BigDecimal::INFINITY) ** -1.0)
|
|
assert_negative_zero((-BigDecimal::INFINITY) ** BigDecimal(-1))
|
|
assert_positive_zero((-BigDecimal::INFINITY) ** -2)
|
|
assert_positive_zero((-BigDecimal::INFINITY) ** -2.quo(1))
|
|
assert_positive_zero((-BigDecimal::INFINITY) ** -2.0)
|
|
assert_positive_zero((-BigDecimal::INFINITY) ** BigDecimal(-2))
|
|
end
|
|
end
|
|
|
|
def test_power_without_prec
|
|
pi = BigDecimal("3.14159265358979323846264338327950288419716939937511")
|
|
e = BigDecimal("2.71828182845904523536028747135266249775724709369996")
|
|
pow = BigDecimal("22.4591577183610454734271522045437350275893151339967843873233068")
|
|
assert_equal(pow, pi.power(e))
|
|
end
|
|
|
|
def test_power_with_prec
|
|
pi = BigDecimal("3.14159265358979323846264338327950288419716939937511")
|
|
e = BigDecimal("2.71828182845904523536028747135266249775724709369996")
|
|
pow = BigDecimal("22.459157718361045473")
|
|
assert_equal(pow, pi.power(e, 20))
|
|
end
|
|
|
|
def test_limit
|
|
BigDecimal.limit(1)
|
|
x = BigDecimal.new("3")
|
|
assert_equal(90, x ** 4) # OK? must it be 80?
|
|
# 3 * 3 * 3 * 3 = 10 * 3 * 3 = 30 * 3 = 90 ???
|
|
assert_raise(ArgumentError) { BigDecimal.limit(-1) }
|
|
end
|
|
|
|
def test_sign
|
|
BigDecimal.mode(BigDecimal::EXCEPTION_OVERFLOW, false)
|
|
BigDecimal.mode(BigDecimal::EXCEPTION_NaN, false)
|
|
BigDecimal.mode(BigDecimal::EXCEPTION_ZERODIVIDE, false)
|
|
|
|
assert_equal(BigDecimal::SIGN_POSITIVE_ZERO, BigDecimal.new("0").sign)
|
|
assert_equal(BigDecimal::SIGN_NEGATIVE_ZERO, BigDecimal.new("-0").sign)
|
|
assert_equal(BigDecimal::SIGN_POSITIVE_FINITE, BigDecimal.new("1").sign)
|
|
assert_equal(BigDecimal::SIGN_NEGATIVE_FINITE, BigDecimal.new("-1").sign)
|
|
assert_equal(BigDecimal::SIGN_POSITIVE_INFINITE, (BigDecimal.new("1") / 0).sign)
|
|
assert_equal(BigDecimal::SIGN_NEGATIVE_INFINITE, (BigDecimal.new("-1") / 0).sign)
|
|
assert_equal(BigDecimal::SIGN_NaN, (BigDecimal.new("0") / 0).sign)
|
|
end
|
|
|
|
def test_inf
|
|
BigDecimal.mode(BigDecimal::EXCEPTION_OVERFLOW, false)
|
|
BigDecimal.mode(BigDecimal::EXCEPTION_NaN, false)
|
|
inf = BigDecimal.new("Infinity")
|
|
|
|
assert_equal(inf, inf + inf)
|
|
assert_equal(true, (inf + (-inf)).nan?)
|
|
assert_equal(true, (inf - inf).nan?)
|
|
assert_equal(inf, inf - (-inf))
|
|
assert_equal(inf, inf * inf)
|
|
assert_equal(true, (inf / inf).nan?)
|
|
|
|
assert_equal(inf, inf + 1)
|
|
assert_equal(inf, inf - 1)
|
|
assert_equal(inf, inf * 1)
|
|
assert_equal(true, (inf * 0).nan?)
|
|
assert_equal(inf, inf / 1)
|
|
|
|
assert_equal(inf, 1 + inf)
|
|
assert_equal(-inf, 1 - inf)
|
|
assert_equal(inf, 1 * inf)
|
|
assert_equal(-inf, -1 * inf)
|
|
assert_equal(true, (0 * inf).nan?)
|
|
assert_equal(BigDecimal::SIGN_POSITIVE_ZERO, (1 / inf).sign)
|
|
assert_equal(BigDecimal::SIGN_NEGATIVE_ZERO, (-1 / inf).sign)
|
|
end
|
|
|
|
def test_to_special_string
|
|
BigDecimal.mode(BigDecimal::EXCEPTION_OVERFLOW, false)
|
|
BigDecimal.mode(BigDecimal::EXCEPTION_NaN, false)
|
|
nan = BigDecimal.new("NaN")
|
|
assert_equal("NaN", nan.to_s)
|
|
inf = BigDecimal.new("Infinity")
|
|
assert_equal("Infinity", inf.to_s)
|
|
assert_equal(" Infinity", inf.to_s(" "))
|
|
assert_equal("+Infinity", inf.to_s("+"))
|
|
assert_equal("-Infinity", (-inf).to_s)
|
|
pzero = BigDecimal.new("0")
|
|
assert_equal("0.0", pzero.to_s)
|
|
assert_equal(" 0.0", pzero.to_s(" "))
|
|
assert_equal("+0.0", pzero.to_s("+"))
|
|
assert_equal("-0.0", (-pzero).to_s)
|
|
end
|
|
|
|
def test_to_string
|
|
assert_equal("0.01", BigDecimal("0.01").to_s("F"))
|
|
s = "0." + "0" * 100 + "1"
|
|
assert_equal(s, BigDecimal(s).to_s("F"))
|
|
s = "1" + "0" * 100 + ".0"
|
|
assert_equal(s, BigDecimal(s).to_s("F"))
|
|
end
|
|
|
|
def test_ctov
|
|
assert_equal(0.1, BigDecimal.new("1E-1"))
|
|
assert_equal(10, BigDecimal.new("1E+1"))
|
|
assert_equal(1, BigDecimal.new("+1"))
|
|
BigDecimal.mode(BigDecimal::EXCEPTION_OVERFLOW, false)
|
|
|
|
assert_equal(BigDecimal::SIGN_POSITIVE_INFINITE, BigDecimal.new("1E1" + "0" * 10000).sign)
|
|
assert_equal(BigDecimal::SIGN_NEGATIVE_INFINITE, BigDecimal.new("-1E1" + "0" * 10000).sign)
|
|
assert_equal(BigDecimal::SIGN_POSITIVE_ZERO, BigDecimal.new("1E-1" + "0" * 10000).sign)
|
|
assert_equal(BigDecimal::SIGN_NEGATIVE_ZERO, BigDecimal.new("-1E-1" + "0" * 10000).sign)
|
|
end
|
|
|
|
def test_split_under_gc_stress
|
|
bug3258 = '[ruby-dev:41213]'
|
|
stress, GC.stress = GC.stress, true
|
|
10.upto(20) do |i|
|
|
b = BigDecimal.new("1"+"0"*i)
|
|
assert_equal([1, "1", 10, i+1], b.split, bug3258)
|
|
end
|
|
ensure
|
|
GC.stress = stress
|
|
end
|
|
|
|
def test_coerce_under_gc_stress
|
|
expect = ":too_long_to_embed_as_string can't be coerced into BigDecimal"
|
|
under_gc_stress do
|
|
b = BigDecimal.new("1")
|
|
10.times do
|
|
begin
|
|
b.coerce(:too_long_to_embed_as_string)
|
|
rescue => e
|
|
assert_instance_of TypeError, e
|
|
assert_equal expect, e.message
|
|
end
|
|
end
|
|
end
|
|
end
|
|
|
|
def test_INFINITY
|
|
assert(BigDecimal::INFINITY.infinite?, "BigDecimal::INFINITY is not a infinity")
|
|
end
|
|
|
|
def test_NAN
|
|
assert(BigDecimal::NAN.nan?, "BigDecimal::NAN is not NaN")
|
|
end
|
|
|
|
def test_exp_with_zerp_precision
|
|
assert_raise(ArgumentError) do
|
|
BigMath.exp(1, 0)
|
|
end
|
|
end
|
|
|
|
def test_exp_with_negative_precision
|
|
assert_raise(ArgumentError) do
|
|
BigMath.exp(1, -42)
|
|
end
|
|
end
|
|
|
|
def test_exp_with_complex
|
|
assert_raise(ArgumentError) do
|
|
BigMath.exp(Complex(1, 2), 20)
|
|
end
|
|
end
|
|
|
|
def test_exp_with_negative_infinite
|
|
BigDecimal.save_exception_mode do
|
|
BigDecimal.mode(BigDecimal::EXCEPTION_INFINITY, false)
|
|
assert_equal(0, BigMath.exp(-BigDecimal::INFINITY, 20))
|
|
end
|
|
end
|
|
|
|
def test_exp_with_positive_infinite
|
|
BigDecimal.save_exception_mode do
|
|
BigDecimal.mode(BigDecimal::EXCEPTION_INFINITY, false)
|
|
assert(BigMath.exp(BigDecimal::INFINITY, 20) > 0)
|
|
assert(BigMath.exp(BigDecimal::INFINITY, 20).infinite?)
|
|
end
|
|
end
|
|
|
|
def test_exp_with_nan
|
|
BigDecimal.save_exception_mode do
|
|
BigDecimal.mode(BigDecimal::EXCEPTION_NaN, false)
|
|
assert(BigMath.exp(BigDecimal::NAN, 20).nan?)
|
|
end
|
|
end
|
|
|
|
def test_exp_with_1
|
|
assert_in_epsilon(Math::E, BigMath.exp(1, 20))
|
|
end
|
|
|
|
def test_BigMath_exp
|
|
n = 20
|
|
assert_in_epsilon(Math.exp(n), BigMath.exp(BigDecimal("20"), n))
|
|
assert_in_epsilon(Math.exp(40), BigMath.exp(BigDecimal("40"), n))
|
|
assert_in_epsilon(Math.exp(-n), BigMath.exp(BigDecimal("-20"), n))
|
|
assert_in_epsilon(Math.exp(-40), BigMath.exp(BigDecimal("-40"), n))
|
|
end
|
|
|
|
def test_BigMath_exp_under_gc_stress
|
|
expect = ":too_long_to_embed_as_string can't be coerced into BigDecimal"
|
|
under_gc_stress do
|
|
10.times do
|
|
begin
|
|
BigMath.exp(:too_long_to_embed_as_string, 6)
|
|
rescue => e
|
|
assert_instance_of ArgumentError, e
|
|
assert_equal expect, e.message
|
|
end
|
|
end
|
|
end
|
|
end
|
|
|
|
def test_BigMath_log_with_nil
|
|
assert_raise(ArgumentError) do
|
|
BigMath.log(nil, 20)
|
|
end
|
|
end
|
|
|
|
def test_BigMath_log_with_nil_precision
|
|
assert_raise(ArgumentError) do
|
|
BigMath.log(1, nil)
|
|
end
|
|
end
|
|
|
|
def test_BigMath_log_with_complex
|
|
assert_raise(Math::DomainError) do
|
|
BigMath.log(Complex(1, 2), 20)
|
|
end
|
|
end
|
|
|
|
def test_BigMath_log_with_zerp_precision
|
|
assert_raise(ArgumentError) do
|
|
BigMath.log(1, 0)
|
|
end
|
|
end
|
|
|
|
def test_BigMath_log_with_negative_precision
|
|
assert_raise(ArgumentError) do
|
|
BigMath.log(1, -42)
|
|
end
|
|
end
|
|
|
|
def test_BigMath_log_with_negative_infinite
|
|
BigDecimal.save_exception_mode do
|
|
BigDecimal.mode(BigDecimal::EXCEPTION_INFINITY, false)
|
|
assert_raise(Math::DomainError) do
|
|
BigMath.log(-BigDecimal::INFINITY, 20)
|
|
end
|
|
end
|
|
end
|
|
|
|
def test_BigMath_log_with_positive_infinite
|
|
BigDecimal.save_exception_mode do
|
|
BigDecimal.mode(BigDecimal::EXCEPTION_INFINITY, false)
|
|
assert(BigMath.log(BigDecimal::INFINITY, 20) > 0)
|
|
assert(BigMath.log(BigDecimal::INFINITY, 20).infinite?)
|
|
end
|
|
end
|
|
|
|
def test_BigMath_log_with_nan
|
|
BigDecimal.save_exception_mode do
|
|
BigDecimal.mode(BigDecimal::EXCEPTION_NaN, false)
|
|
assert(BigMath.log(BigDecimal::NAN, 20).nan?)
|
|
end
|
|
end
|
|
|
|
def test_BigMath_log_with_1
|
|
assert_in_delta(0.0, BigMath.log(1, 20))
|
|
assert_in_delta(0.0, BigMath.log(1.0, 20))
|
|
assert_in_delta(0.0, BigMath.log(BigDecimal(1), 20))
|
|
end
|
|
|
|
def test_BigMath_log_with_exp_1
|
|
assert_in_delta(1.0, BigMath.log(BigMath.exp(1, 20), 20))
|
|
end
|
|
|
|
def test_BigMath_log_with_2
|
|
assert_in_delta(Math.log(2), BigMath.log(2, 20))
|
|
assert_in_delta(Math.log(2), BigMath.log(2.0, 20))
|
|
assert_in_delta(Math.log(2), BigMath.log(BigDecimal(2), 20))
|
|
end
|
|
|
|
def test_BigMath_log_with_square_of_exp_2
|
|
assert_in_delta(2, BigMath.log(BigMath.exp(1, 20)**2, 20))
|
|
end
|
|
|
|
def test_BigMath_log_with_42
|
|
assert_in_delta(Math.log(42), BigMath.log(42, 20))
|
|
assert_in_delta(Math.log(42), BigMath.log(42.0, 20))
|
|
assert_in_delta(Math.log(42), BigMath.log(BigDecimal(42), 20))
|
|
end
|
|
|
|
def test_BigMath_log_with_reciprocal_of_42
|
|
assert_in_delta(Math.log(1e-42), BigMath.log(1e-42, 20))
|
|
assert_in_delta(Math.log(1e-42), BigMath.log(BigDecimal("1e-42"), 20))
|
|
end
|
|
|
|
def test_BigMath_log_under_gc_stress
|
|
expect = ":too_long_to_embed_as_string can't be coerced into BigDecimal"
|
|
under_gc_stress do
|
|
10.times do
|
|
begin
|
|
BigMath.log(:too_long_to_embed_as_string, 6)
|
|
rescue => e
|
|
assert_instance_of ArgumentError, e
|
|
assert_equal expect, e.message
|
|
end
|
|
end
|
|
end
|
|
end
|
|
end
|