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Project: Fractions
Unit: DelphiDabbler.Lib.Fractions
Record: TFraction
Applies to: ~>0.1
class operator GreaterThan(const A, B: TFraction): Boolean;
This operator overload permits two TFractions to be compared using the > (greater than) operator.
One fraction is considered to be greater than a second if the 1st cross product of the two fractions is greater than the 2nd cross product. Take for example 7/8 and 3/4. Their 1st cross product is 7 × 4 = 28 and their 2nd cross product is 8 × 3 = 24. Since 28 > 24, 7/8 is greater than 3/4.
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, F3: TFraction;
D: Double;
I: Integer;
begin
F1 := TFraction.Create(1, 2);
F2 := TFraction.Create(3, 4);
F3 := TFraction.Create(5, 4);
D := 0.6;
I := 1;
Assert(F2 > F1);
Assert(F3 > F2);
Assert(F3 > F1);
Assert(D > F1);
Assert(F2 > D);
Assert(F3 > D);
Assert(I > F1);
Assert(I > F2);
Assert(F3 > I);
end;