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Project: Fractions
Unit: DelphiDabbler.Lib.Fractions
Record: TFraction
Applies to: ~>0.1
class operator LessThan(const A, B: TFraction): Boolean;
This operator overload permits two TFractions to be compared using the < (less than) operator.
One fraction is considered to be less than a second if the 1st cross product of the two fractions is less than the 2nd cross product. 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, 3/4 is less than 7/8.
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(F1 < F2);
Assert(F2 < F3);
Assert(F1 < F3);
Assert(F1 < D);
Assert(D < F2);
Assert(D < F3);
Assert(F1 < I);
Assert(F2 < I);
Assert(I < F3);
end;