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require_relative '../../spec_helper'
describe :rational_exponent, shared: true do
describe "when passed Rational" do
# Guard against the Mathn library
guard -> { !defined?(Math.rsqrt) } do
it "returns Rational(1) if the exponent is Rational(0)" do
(Rational(0) ** Rational(0)).should eql(Rational(1))
(Rational(1) ** Rational(0)).should eql(Rational(1))
(Rational(3, 4) ** Rational(0)).should eql(Rational(1))
(Rational(-1) ** Rational(0)).should eql(Rational(1))
(Rational(-3, 4) ** Rational(0)).should eql(Rational(1))
(Rational(bignum_value) ** Rational(0)).should eql(Rational(1))
(Rational(-bignum_value) ** Rational(0)).should eql(Rational(1))
end
it "returns self raised to the argument as a Rational if the exponent's denominator is 1" do
(Rational(3, 4) ** Rational(1, 1)).should eql(Rational(3, 4))
(Rational(3, 4) ** Rational(2, 1)).should eql(Rational(9, 16))
(Rational(3, 4) ** Rational(-1, 1)).should eql(Rational(4, 3))
(Rational(3, 4) ** Rational(-2, 1)).should eql(Rational(16, 9))
end
it "returns self raised to the argument as a Float if the exponent's denominator is not 1" do
(Rational(3, 4) ** Rational(4, 3)).should be_close(0.681420222312052, TOLERANCE)
(Rational(3, 4) ** Rational(-4, 3)).should be_close(1.46752322173095, TOLERANCE)
(Rational(3, 4) ** Rational(4, -3)).should be_close(1.46752322173095, TOLERANCE)
end
it "returns a complex number when self is negative and the passed argument is not 0" do
(Rational(-3, 4) ** Rational(-4, 3)).should be_close(Complex(-0.7337616108654732, 1.2709123906625817), TOLERANCE)
end
end
end
describe "when passed Integer" do
it "returns the Rational value of self raised to the passed argument" do
(Rational(3, 4) ** 4).should == Rational(81, 256)
(Rational(3, 4) ** -4).should == Rational(256, 81)
(Rational(-3, 4) ** -4).should == Rational(256, 81)
(Rational(3, -4) ** -4).should == Rational(256, 81)
(Rational(bignum_value, 4) ** 4).should == Rational(452312848583266388373324160190187140051835877600158453279131187530910662656, 1)
(Rational(3, bignum_value) ** -4).should == Rational(115792089237316195423570985008687907853269984665640564039457584007913129639936, 81)
(Rational(-bignum_value, 4) ** -4).should == Rational(1, 452312848583266388373324160190187140051835877600158453279131187530910662656)
(Rational(3, -bignum_value) ** -4).should == Rational(115792089237316195423570985008687907853269984665640564039457584007913129639936, 81)
end
# Guard against the Mathn library
guard -> { !defined?(Math.rsqrt) } do
it "returns Rational(1, 1) when the passed argument is 0" do
(Rational(3, 4) ** 0).should eql(Rational(1, 1))
(Rational(-3, 4) ** 0).should eql(Rational(1, 1))
(Rational(3, -4) ** 0).should eql(Rational(1, 1))
(Rational(bignum_value, 4) ** 0).should eql(Rational(1, 1))
(Rational(3, -bignum_value) ** 0).should eql(Rational(1, 1))
end
end
end
describe "when passed Bignum" do
# #5713
it "returns Rational(0) when self is Rational(0) and the exponent is positive" do
(Rational(0) ** bignum_value).should eql(Rational(0))
end
it "raises ZeroDivisionError when self is Rational(0) and the exponent is negative" do
-> { Rational(0) ** -bignum_value }.should raise_error(ZeroDivisionError)
end
it "returns Rational(1) when self is Rational(1)" do
(Rational(1) ** bignum_value).should eql(Rational(1))
(Rational(1) ** -bignum_value).should eql(Rational(1))
end
it "returns Rational(1) when self is Rational(-1) and the exponent is positive and even" do
(Rational(-1) ** bignum_value(0)).should eql(Rational(1))
(Rational(-1) ** bignum_value(2)).should eql(Rational(1))
end
it "returns Rational(-1) when self is Rational(-1) and the exponent is positive and odd" do
(Rational(-1) ** bignum_value(1)).should eql(Rational(-1))
(Rational(-1) ** bignum_value(3)).should eql(Rational(-1))
end
ruby_version_is ""..."3.4" do
it "returns positive Infinity when self is > 1" do
-> {
(Rational(2) ** bignum_value).infinite?.should == 1
}.should complain(/warning: in a\*\*b, b may be too big/)
-> {
(Rational(fixnum_max) ** bignum_value).infinite?.should == 1
}.should complain(/warning: in a\*\*b, b may be too big/)
end
it "returns 0.0 when self is > 1 and the exponent is negative" do
-> {
(Rational(2) ** -bignum_value).should eql(0.0)
}.should complain(/warning: in a\*\*b, b may be too big/)
-> {
(Rational(fixnum_max) ** -bignum_value).should eql(0.0)
}.should complain(/warning: in a\*\*b, b may be too big/)
end
end
ruby_version_is "3.4" do
it "raises an ArgumentError when self is > 1" do
-> {
(Rational(2) ** bignum_value)
}.should raise_error(ArgumentError)
-> {
(Rational(fixnum_max) ** bignum_value)
}.should raise_error(ArgumentError)
end
it "raises an ArgumentError when self is > 1 and the exponent is negative" do
-> {
(Rational(2) ** -bignum_value)
}.should raise_error(ArgumentError)
-> {
(Rational(fixnum_max) ** -bignum_value)
}.should raise_error(ArgumentError)
end
end
# Fails on linux due to pow() bugs in glibc: http://sources.redhat.com/bugzilla/show_bug.cgi?id=3866
platform_is_not :linux do
ruby_version_is ""..."3.4" do
it "returns positive Infinity when self < -1" do
-> {
(Rational(-2) ** bignum_value).infinite?.should == 1
}.should complain(/warning: in a\*\*b, b may be too big/)
-> {
(Rational(-2) ** (bignum_value + 1)).infinite?.should == 1
}.should complain(/warning: in a\*\*b, b may be too big/)
-> {
(Rational(fixnum_min) ** bignum_value).infinite?.should == 1
}.should complain(/warning: in a\*\*b, b may be too big/)
end
it "returns 0.0 when self is < -1 and the exponent is negative" do
-> {
(Rational(-2) ** -bignum_value).should eql(0.0)
}.should complain(/warning: in a\*\*b, b may be too big/)
-> {
(Rational(fixnum_min) ** -bignum_value).should eql(0.0)
}.should complain(/warning: in a\*\*b, b may be too big/)
end
end
ruby_version_is "3.4" do
it "returns positive Infinity when self < -1" do
-> {
(Rational(-2) ** bignum_value)
}.should raise_error(ArgumentError)
-> {
(Rational(fixnum_min) ** bignum_value)
}.should raise_error(ArgumentError)
end
it "returns 0.0 when self is < -1 and the exponent is negative" do
-> {
(Rational(-2) ** -bignum_value)
}.should raise_error(ArgumentError)
-> {
(Rational(fixnum_min) ** -bignum_value)
}.should raise_error(ArgumentError)
end
end
end
end
describe "when passed Float" do
it "returns self converted to Float and raised to the passed argument" do
(Rational(3, 1) ** 3.0).should eql(27.0)
(Rational(3, 1) ** 1.5).should be_close(5.19615242270663, TOLERANCE)
(Rational(3, 1) ** -1.5).should be_close(0.192450089729875, TOLERANCE)
end
it "returns a complex number if self is negative and the passed argument is not 0" do
(Rational(-3, 2) ** 1.5).should be_close(Complex(0.0, -1.8371173070873836), TOLERANCE)
(Rational(3, -2) ** 1.5).should be_close(Complex(0.0, -1.8371173070873836), TOLERANCE)
(Rational(3, -2) ** -1.5).should be_close(Complex(0.0, 0.5443310539518174), TOLERANCE)
end
it "returns Complex(1.0) when the passed argument is 0.0" do
(Rational(3, 4) ** 0.0).should == Complex(1.0)
(Rational(-3, 4) ** 0.0).should == Complex(1.0)
(Rational(-3, 4) ** 0.0).should == Complex(1.0)
end
end
it "calls #coerce on the passed argument with self" do
rational = Rational(3, 4)
obj = mock("Object")
obj.should_receive(:coerce).with(rational).and_return([1, 2])
rational ** obj
end
it "calls #** on the coerced Rational with the coerced Object" do
rational = Rational(3, 4)
coerced_rational = mock("Coerced Rational")
coerced_rational.should_receive(:**).and_return(:result)
coerced_obj = mock("Coerced Object")
obj = mock("Object")
obj.should_receive(:coerce).and_return([coerced_rational, coerced_obj])
(rational ** obj).should == :result
end
it "raises ZeroDivisionError for Rational(0, 1) passed a negative Integer" do
[-1, -4, -9999].each do |exponent|
-> { Rational(0, 1) ** exponent }.should raise_error(ZeroDivisionError, "divided by 0")
end
end
it "raises ZeroDivisionError for Rational(0, 1) passed a negative Rational with denominator 1" do
[Rational(-1, 1), Rational(-3, 1)].each do |exponent|
-> { Rational(0, 1) ** exponent }.should raise_error(ZeroDivisionError, "divided by 0")
end
end
# #7513
it "raises ZeroDivisionError for Rational(0, 1) passed a negative Rational" do
-> { Rational(0, 1) ** Rational(-3, 2) }.should raise_error(ZeroDivisionError, "divided by 0")
end
platform_is_not :solaris do # See https://github.com/ruby/spec/issues/134
it "returns Infinity for Rational(0, 1) passed a negative Float" do
[-1.0, -3.0, -3.14].each do |exponent|
(Rational(0, 1) ** exponent).infinite?.should == 1
end
end
end
end
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