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Project: Fractions
Unit: DelphiDabbler.Lib.Fractions
Record: TFraction
Applies to: ~>0.1
class operator IntDivide(const A, B: TFraction): Int64;
This operator overload permits an integer division to be performed on TFractions using the div operator.
The result of the operation is the largest whole number less or equal to the result of dividing A by B.
One of the operands may be either an integer or floating point value. The Implicit operator takes care of converting the integer and floating point operands to a TFraction before performing the integer division.
The second operand must not be zero. In the case of a TFraction this means the Numerator must not be zero.
var
F1, F2: TFraction;
begin
// 7/8 div 1/3 = Trunc(7/8 * 3/1) = Trunc(21/8) = 2
F1 := TFraction.Create(7, 8);
F2 := TFraction.Create(1, 3);
Assert(F1 div F2 = 2);
// 2/3 div 2/3 = Trunc(2/3 * 3/2) = Trunc(6/6) = 1
F1 := TFraction.Create(2, 3);
F2 := TFraction.Create(2, 3);
Assert(F1 div F2 = 1);
// 5 div 2/3 = Trunc(5/1 * 3/2) = Trunc(15/2) = 7
F2 := TFraction.Create(2, 3);
Assert(5 div F2 = 7);
// 10/3 div 1 = Trunc(10/3 * 1/1) = Trunc(10/3) = 3
F1 := TFraction.Create(10, 3);
Assert(F1 div 1 = 3);
end;