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Project: Fractions
Unit: DelphiDabbler.Lib.Fractions
Record: TFraction
Applies to: ~>0.1
class operator NotEqual(const A, B: TFraction): Boolean;
This operator overload permits TFractions to be tested for inequality using the <> operator.
Two fractions are considered not equal unless they can be simplified to the same fraction. Formally, two fractions are unequal if their 1st and 2nd cross products are different. Take for example 3/4 and 7/8. Their 1st cross product is 3 × 8 = 24 and their 2nd cross product is 4 × 7 = 28. Since 24 <> 28, the fractions are not equal.
A TFraction can also be compared to integer and floating point types using the <> operator. The Implicit operator takes care of converting the integer and floating point operands to TFraction before performing the comparison.
var
F1, F2: TFraction;
D: Double;
I: Integer;
begin
F1 := TFraction.Create(3, 4);
F2 := TFraction.Create(3, 8);
D := 0.25;
I := 3;
Assert(F1 <> F2);
Assert(F2 <> F1);
Assert(D <> F2);
Assert(F1 <> D);
Assert(I <> F2);
Assert(F1 <> I);
end;