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require File.expand_path('../../../spec_helper', __FILE__)
describe "Fixnum#**" do
it "returns self raised to the given power" do
(2 ** 0).should eql 1
(2 ** 1).should eql 2
(2 ** 2).should eql 4
(9 ** 0.5).should eql 3.0
(5 ** -1).to_f.to_s.should == '0.2'
(2 ** 40).should eql 1099511627776
end
it "overflows the answer to a bignum transparantly" do
(2 ** 29).should eql 536870912
(2 ** 30).should eql 1073741824
(2 ** 31).should eql 2147483648
(2 ** 32).should eql 4294967296
(2 ** 61).should eql 2305843009213693952
(2 ** 62).should eql 4611686018427387904
(2 ** 63).should eql 9223372036854775808
(2 ** 64).should eql 18446744073709551616
(8 ** 23).should eql 590295810358705651712
end
it "raises negative numbers to the given power" do
((-2) ** 29).should eql(-536870912)
((-2) ** 30).should eql(1073741824)
((-2) ** 31).should eql(-2147483648)
((-2) ** 32).should eql(4294967296)
((-2) ** 61).should eql(-2305843009213693952)
((-2) ** 62).should eql(4611686018427387904)
((-2) ** 63).should eql(-9223372036854775808)
((-2) ** 64).should eql(18446744073709551616)
end
it "can raise 1 to a Bignum safely" do
big = bignum_value(4611686018427387904)
(1 ** big).should eql 1
end
it "can raise -1 to a Bignum safely" do
((-1) ** bignum_value(0)).should eql(1)
((-1) ** bignum_value(1)).should eql(-1)
end
it "switches to a Float when the number is too big" do
big = bignum_value(4611686018427387904)
flt = (2 ** big)
flt.should be_kind_of(Float)
flt.infinite?.should == 1
end
conflicts_with :Rational do
it "raises a ZeroDivisionError for 0**-1" do
lambda { (0**-1) }.should raise_error(ZeroDivisionError)
end
it "raises a TypeError when given a non-Integer" do
lambda {
(obj = mock('10')).should_receive(:to_int).any_number_of_times.and_return(10)
13 ** obj
}.should raise_error(TypeError)
lambda { 13 ** "10" }.should raise_error(TypeError)
lambda { 13 ** :symbol }.should raise_error(TypeError)
end
end
it "returns a complex number when negative and raised to a fractional power" do
((-8) ** (1.0/3)) .should be_close(Complex(1, 1.73205), TOLERANCE)
((-8) ** Rational(1,3)).should be_close(Complex(1, 1.73205), TOLERANCE)
end
end
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