This is a new site that's currently running on alpha code. There are going to be bugs. If you discover any, please report them on the site's issues page (GitHub account required). Thanks.
Warning: Many URLs are going to change. Refer to the README file to discover which library project's documentation has been completed.
Project: Fractions
Unit: DelphiDabbler.Lib.Fractions
Record: TFraction
Applies to: ~>0.1
class operator GreaterThanOrEqual(const A, B: TFraction): Boolean;
This operator overload permits two TFractions to be compared using the >= (greater than or equal) operator.
One fraction is considered to be greater than or equal to a second if the 1st cross product of the two fractions is greater than or equal to their 2nd cross product. Here are two examples:
7/8 and 3/4: The 1st cross product is 7 × 4 = 28 and the 2nd cross product is 8 × 3 = 24. Since 28 > 24, 7/8 >= 3/4.6/8 and 3/4: The 1st cross product is 6 × 4 = 24 and the 2nd cross product is 8 × 3 = 24. The cross products are equal, so 6/8 >= 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, F4, F5: TFraction;
D: Double;
I: Integer;
begin
F1 := TFraction.Create(1, 2);
F2 := TFraction.Create(3, 4);
F3 := TFraction.Create(6, 8);
F4 := TFraction.Create(1, 1);
F5 := TFraction.Create(15, 8);
D := 0.75;
I := 1;
Assert(F2 >= F1); // 3/4 > 1/2
Assert(F3 >= F2); // 6/8 = 3/4
Assert(D >= F1); // 0.75 > 1/2
Assert(D >= F2); // 0.75 = 3/4
Assert(F3 >= D); // 6/8 = 0.75
Assert(F5 >= D); // 15/8 > 0.75
Assert(I >= F1); // 1 > 1/2
Assert(I >= F4); // 1 = 1/1
Assert(F4 >= I); // 1/1 = 1
Assert(F5 >= I); // 15/8 > 1
end;