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describe :complex_divide, shared: true do
describe "with Complex" do
it "divides according to the usual rule for complex numbers" do
a = Complex((1 * 10) - (2 * 20), (1 * 20) + (2 * 10))
b = Complex(1, 2)
a.send(@method, b).should == Complex(10, 20)
c = Complex((1.5 * 100.2) - (2.1 * -30.3), (1.5 * -30.3) + (2.1 * 100.2))
d = Complex(1.5, 2.1)
# remember the floating-point arithmetic
c.send(@method, d).should be_close(Complex(100.2, -30.3), TOLERANCE)
end
end
describe "with Fixnum" do
it "divides both parts of the Complex number" do
Complex(20, 40).send(@method, 2).should == Complex(10, 20)
Complex(30, 30).send(@method, 10).should == Complex(3, 3)
end
it "raises a ZeroDivisionError when given zero" do
-> { Complex(20, 40).send(@method, 0) }.should raise_error(ZeroDivisionError)
end
it "produces Rational parts" do
Complex(5, 9).send(@method, 2).should eql(Complex(Rational(5,2), Rational(9,2)))
end
end
describe "with Bignum" do
it "divides both parts of the Complex number" do
Complex(20, 40).send(@method, 2).should == Complex(10, 20)
Complex(15, 16).send(@method, 2.0).should be_close(Complex(7.5, 8), TOLERANCE)
end
end
describe "with Float" do
it "divides both parts of the Complex number" do
Complex(3, 9).send(@method, 1.5).should == Complex(2, 6)
Complex(15, 16).send(@method, 2.0).should be_close(Complex(7.5, 8), TOLERANCE)
end
it "returns Complex(Infinity, Infinity) when given zero" do
Complex(20, 40).send(@method, 0.0).real.infinite?.should == 1
Complex(20, 40).send(@method, 0.0).imag.infinite?.should == 1
Complex(-20, 40).send(@method, 0.0).real.infinite?.should == -1
Complex(-20, 40).send(@method, 0.0).imag.infinite?.should == 1
end
end
describe "with Object" do
it "tries to coerce self into other" do
value = Complex(3, 9)
obj = mock("Object")
obj.should_receive(:coerce).with(value).and_return([4, 2])
value.send(@method, obj).should == 2
end
end
describe "with a Numeric which responds to #real? with true" do
it "returns Complex(real.quo(other), imag.quo(other))" do
other = mock_numeric('other')
real = mock_numeric('real')
imag = mock_numeric('imag')
other.should_receive(:real?).and_return(true)
real.should_receive(:quo).with(other).and_return(1)
imag.should_receive(:quo).with(other).and_return(2)
Complex(real, imag).send(@method, other).should == Complex(1, 2)
end
end
describe "with a Numeric which responds to #real? with false" do
it "coerces the passed argument to Complex and divides the resulting elements" do
complex = Complex(3, 0)
other = mock_numeric('other')
other.should_receive(:real?).any_number_of_times.and_return(false)
other.should_receive(:coerce).with(complex).and_return([5, 2])
complex.send(@method, other).should eql(Rational(5, 2))
end
end
end
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