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Fractions/fi

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Mikä on Fractions unit?

Fractions on käännösyksikko (unit) joka suorittaa laskuja murtoluvuilla.
Käännösyksikkö syntyi keskustelun pohjalta discussion on the Lazarus forum.

Subversion

Löydät Fractions unitin

text
svn https://lazarus-ccr.svn.sourceforge.net/svnroot/lazarus-ccr/components/fractions

Tai voit vain katsella sitä viewcv:n avulla

text
http://sourceforge.net/p/lazarus-ccr/svn/HEAD/tree/components/fractions/

Ominaisuudet

TFraction tyyppi

TFraction on niin sanottu "advanced record": eli tietue laajennettuna metodeilla ja ominaisuuksilla (Property) .

TFraction ominaisuudet

TFraction metodit

Murtolukujen tekeminen

Tuetut laskut

Operaattorit (Overloaded operators)

Matemaattiset funktiot

Yleiskäyttöiset funktiot

Muunnos rutiinit

Esimerkkiohjelma

pascal

program example;

{$mode objfpc}{$H+}
{$apptype console}

uses
  Classes, sysutils, fractions, math;

var
  F1, F2: TFraction;
  D, Prec: Double;
  i: Integer;
begin
  F1 := Fraction(1,1,3); // 1 1/3
  F2 := Fraction(4,3);   // 4/3
  writeln('F1.ToString = ',F1.ToString); // '4/3'
  writeln('F1.Resolve  = ',F1.Resolve);  // '1 1/3'
  writeln('F1.ToFloat  = ',F1.ToFloat:16:16); // 1.3333333333333333
  writeln('F2.ToString = ',F2.ToString); // '4/3'
  writeln('(F1 = F2)   = ',F1=F2);         //True

  F1 := Fraction(1,2);
  F2 := Fraction(1,3);
  writeln(F1.ToString,' * ',F2.ToString,'   = ',(F1*F2).Resolve);  // '1/6'
  writeln(F1.ToString,' / ',F2.ToString,'   = ',(F1/F2).Resolve);  // '1 1/2'
  writeln(F1.ToString,' + ',F2.ToString,'   = ',(F1+F2).Resolve);  // '5/6'
  writeln(F1.ToString,' - ',F2.ToString,'   = ',(F1-F2).Resolve);  // '1/6'
  writeln(F1.ToString,' ** 2    = ',(F1**2).Resolve);  // '1/6'

  D := 0.25;
  F1 := FloatToFraction(D, 0.000001);
  writeln('FloatTofraction(0.25) -> ',F1.ToString);   // '1/4'
  writeln;
  writeln('Approximations of Pi:');
  writeln('                                              [Pi = ',Pi:16:16,']');
  Prec := 1.0;
  for i := 1 to 10 do
  begin
    Prec := Prec / 10;
    F2 := FloatTofraction(Pi, Prec);
    writeln('FloatTofraction(Pi,',Prec:10:10,') = ',Format('%-13s',[F2.Resolve]),'   [',F2.ToFloat:16:16,']');
  end;
end.

Ohjelma tulostaa:

pascal
F1.ToString = 4/3
F1.Resolve  = 1 1/3
F1.ToFloat  = 1.3333333333333333
F2.ToString = 4/3
(F1 = F2)   = TRUE
1/2 * 1/3   = 1/6
1/2 / 1/3   = 1 1/2
1/2 + 1/3   = 5/6
1/2 - 1/3   = 1/6
1/2 ** 2    = 1/4
FloatTofraction(0.25) -> 1/4
pascal
Approximations of Pi:
                                              [Pi = 3.1415926535897932]
FloatTofraction(Pi,0.1000000000) = 3 1/7           [3.1428571428571428]
FloatTofraction(Pi,0.0100000000) = 3 1/7           [3.1428571428571428]
FloatTofraction(Pi,0.0010000000) = 3 16/113        [3.1415929203539825]
FloatTofraction(Pi,0.0001000000) = 3 16/113        [3.1415929203539825]
FloatTofraction(Pi,0.0000100000) = 3 16/113        [3.1415929203539825]
FloatTofraction(Pi,0.0000010000) = 3 16/113        [3.1415929203539825]
FloatTofraction(Pi,0.0000001000) = 3 4703/33215    [3.1415926539214212]
FloatTofraction(Pi,0.0000000100) = 3 4703/33215    [3.1415926539214212]
FloatTofraction(Pi,0.0000000010) = 3 4703/33215    [3.1415926539214212]
FloatTofraction(Pi,0.0000000001) = 3 14093/99532   [3.1415926536189365]

From the Free Pascal wiki, page "Fractions/fi", as it stood on 2020-01-24 after a change by Bart, out of the wiki's dump of 2024-05-26. Copyright stays with the author who wrote it, according to the old wiki's Licensing page. If you have concerns about this material, message the admin.

Versio 5, viimeksi muokannut WikiArchive .