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torben |
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(* ***** BEGIN LICENSE BLOCK *****
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* Version: MPL 1.1
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*
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* The contents of this file are subject to the Mozilla Public License Version
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* 1.1 (the "License"); you may not use this file except in compliance with
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* the License. You may obtain a copy of the License at
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* http://www.mozilla.org/MPL/
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*
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* Software distributed under the License is distributed on an "AS IS" basis,
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* WITHOUT WARRANTY OF ANY KIND, either express or implied. See the License
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* for the specific language governing rights and limitations under the
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* License.
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*
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* The Original Code is TurboPower SysTools
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*
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* The Initial Developer of the Original Code is
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* TurboPower Software
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*
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* Portions created by the Initial Developer are Copyright (C) 1996-2002
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* the Initial Developer. All Rights Reserved.
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*
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* Contributor(s):
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*
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* ***** END LICENSE BLOCK ***** *)
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unit ExRndU;
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interface
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uses
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Windows, Messages, SysUtils, Classes, Graphics, Controls, Forms,
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Dialogs, ComCtrls, StdCtrls, ExtCtrls,
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StRandom;
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type
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TGetRandom = function : double of object;
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type
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TForm1 = class(TForm)
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imgGraph: TImage;
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cboDist: TComboBox;
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lblPrompt: TLabel;
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btnGenerate: TButton;
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prgGenProgress: TProgressBar;
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lblGraphTitle: TLabel;
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lblParms: TLabel;
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lblParm1: TLabel;
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lblParm2: TLabel;
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edtParm1: TEdit;
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edtParm2: TEdit;
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lblLeft: TLabel;
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lblRight: TLabel;
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updRight: TUpDown;
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updLeft: TUpDown;
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lblMaxY: TLabel;
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procedure btnGenerateClick(Sender: TObject);
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procedure cboDistChange(Sender: TObject);
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procedure FormCreate(Sender: TObject);
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procedure updRightClick(Sender: TObject; Button: TUDBtnType);
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procedure updLeftClick(Sender: TObject; Button: TUDBtnType);
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procedure FormDestroy(Sender: TObject);
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private
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{ Private declarations }
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public
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{ Public declarations }
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GraphLeft : double;
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GraphRight : double;
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Value1 : double;
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Value2 : double;
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PRNG : TStRandomBase;
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GetRandom : TGetRandom;
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procedure GenerateGraph(aDistInx : integer);
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procedure PrepForBeta;
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procedure PrepForCauchy;
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procedure PrepForChiSquared;
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procedure PrepForErlang;
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procedure PrepForExponential;
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procedure PrepForF;
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procedure PrepForGamma;
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procedure PrepForLogNormal;
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procedure PrepForNormal;
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procedure PrepForT;
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procedure PrepForUniform;
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procedure PrepForWeibull;
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function GetBeta : double;
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function GetCauchy : double;
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function GetChiSquared : double;
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function GetErlang : double;
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function GetExponential : double;
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function GetF : double;
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function GetGamma : double;
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function GetLogNormal : double;
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function GetNormal : double;
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function GetT : double;
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function GetUniform : double;
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function GetWeibull : double;
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end;
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var
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Form1: TForm1;
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implementation
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{$R *.dfm}
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const
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DistNames : array [0..11] of string = (
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'Beta', 'Cauchy', 'ChiSquared', 'Erlang', 'Exponential',
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'F', 'Gamma', 'LogNormal', 'Normal', 'Student''s t',
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'Uniform', 'Weibull');
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const
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RandomCount = 1000000;
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procedure TForm1.GenerateGraph(aDistInx : integer);
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var
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Buckets : array[0..400] of integer;
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i : integer;
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R : double;
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Inx : integer;
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MaxHt : integer;
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MaxLineFactor : double;
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GraphWidth : double;
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OldPercent : integer;
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NewPercent : integer;
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begin
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{zero out the buckets}
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FillChar(Buckets, sizeof(Buckets), 0);
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{calculate random numbers according to distribution, convert to a
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bucket index, and increment that bucket count}
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OldPercent := -1;
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GraphWidth := imgGraph.Width;
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for i := 1 to RandomCount do begin
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NewPercent := (i * 100) div RandomCount;
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if (NewPercent <> OldPercent) then begin
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prgGenProgress.Position := NewPercent;
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OldPercent := NewPercent;
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end;
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R := GetRandom;
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if (GraphLeft <= R) and (R <= GraphRight) then begin
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Inx := trunc((R - GraphLeft) * GraphWidth / (GraphRight - GraphLeft));
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if (0 <= Inx) and (Inx <= 400) then
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inc(Buckets[Inx]);
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end;
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end;
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{calculate the largest bucket}
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MaxHt := 1;
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for i := 0 to 400 do
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if (MaxHt < Buckets[i]) then
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MaxHt := Buckets[i];
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{draw the graph}
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imgGraph.Canvas.Lock;
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try
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imgGraph.Canvas.FillRect(Rect(0, 0, imgGraph.Width, imgGraph.Height));
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MaxLineFactor := imgGraph.Height / MaxHt;
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imgGraph.Canvas.Pen.Color := clRed;
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for i := 0 to 400 do begin
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imgGraph.Canvas.PenPos := Point(i, imgGraph.Height);
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imgGraph.Canvas.LineTo(i, imgGraph.Height - trunc(Buckets[i] * MaxLineFactor));
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end;
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finally
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imgGraph.Canvas.Unlock;
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end;
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lblMaxY.Caption := Format('Max: %8.6f', [MaxHt / RandomCount]);
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end;
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procedure TForm1.btnGenerateClick(Sender: TObject);
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begin
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if (edtParm1.Text = '') then
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Value1 := 0.0
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else
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Value1 := StrToFloat(edtParm1.Text);
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if (edtParm2.Text = '') then
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Value2 := 0.0
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else
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Value2 := StrToFloat(edtParm2.Text);
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GenerateGraph(cboDist.ItemIndex);
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end;
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procedure TForm1.cboDistChange(Sender: TObject);
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begin
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case cboDist.ItemIndex of
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0 : PrepForBeta;
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1 : PrepForCauchy;
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2 : PrepForChiSquared;
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3 : PrepForErlang;
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4 : PrepForExponential;
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5 : PrepForF;
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6 : PrepForGamma;
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7 : PrepForLogNormal;
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8 : PrepForNormal;
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9 : PrepForT;
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10: PrepForUniform;
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11: PrepForWeibull
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end;
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updRightClick(Self, btNext);
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updLeftClick(Self, btNext);
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edtParm1.Text := FloatToStr(Value1);
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edtParm2.Text := FloatToStr(Value2);
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end;
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procedure TForm1.PrepForBeta;
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begin
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lblParm1.Caption := 'Shape 1:';
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lblParm1.Visible := true;
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lblParm2.Caption := 'Shape 2:';
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lblParm2.Visible := true;
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edtParm1.Visible := true;
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edtParm1.Enabled := true;
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edtParm2.Visible := true;
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edtParm2.Enabled := true;
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updLeft.Position := 0;
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updRight.Position := 1;
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Value1 := 2.0;
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Value2 := 4.0;
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GetRandom := GetBeta;
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end;
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procedure TForm1.PrepForCauchy;
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begin
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lblParm1.Caption := '(none)';
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lblParm1.Visible := true;
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lblParm2.Visible := false;
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edtParm1.Visible := false;
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edtParm1.Enabled := false;
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edtParm2.Visible := false;
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edtParm2.Enabled := false;
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updLeft.Position := -5;
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updRight.Position := 5;
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Value1 := 0.0;
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Value2 := 0.0;
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GetRandom := GetCauchy;
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end;
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procedure TForm1.PrepForChiSquared;
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begin
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lblParm1.Caption := 'Degrees of freedom:';
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lblParm1.Visible := true;
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lblParm2.Visible := false;
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edtParm1.Visible := true;
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edtParm1.Enabled := true;
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edtParm2.Visible := false;
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edtParm2.Enabled := false;
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updLeft.Position := 0;
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updRight.Position := 20;
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Value1 := 5.0;
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Value2 := 0.0;
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GetRandom := GetChiSquared;
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end;
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procedure TForm1.PrepForErlang;
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begin
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lblParm1.Caption := 'Mean:';
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lblParm1.Visible := true;
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lblParm2.Caption := 'Order:';
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lblParm2.Visible := true;
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edtParm1.Visible := true;
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edtParm1.Enabled := true;
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edtParm2.Visible := true;
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edtParm2.Enabled := true;
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updLeft.Position := 0;
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updRight.Position := 5;
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Value1 := 1.0;
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Value2 := 4.0;
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GetRandom := GetErlang;
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end;
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procedure TForm1.PrepForExponential;
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begin
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lblParm1.Caption := 'Mean:';
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lblParm1.Visible := true;
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lblParm2.Visible := false;
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edtParm1.Visible := true;
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edtParm1.Enabled := true;
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edtParm2.Visible := false;
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edtParm2.Enabled := false;
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updLeft.Position := 0;
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updRight.Position := 10;
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Value1 := 1.0;
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Value2 := 0.0;
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GetRandom := GetExponential;
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end;
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procedure TForm1.PrepForF;
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begin
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lblParm1.Caption := 'Degrees of freedom 1:';
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lblParm1.Visible := true;
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lblParm2.Caption := 'Degrees of freedom 2:';
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lblParm2.Visible := true;
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edtParm1.Visible := true;
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edtParm1.Enabled := true;
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edtParm2.Visible := true;
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edtParm2.Enabled := true;
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updLeft.Position := 0;
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updRight.Position := 20;
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Value1 := 10.0;
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Value2 := 5.0;
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GetRandom := GetF;
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end;
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procedure TForm1.PrepForGamma;
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begin
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lblParm1.Caption := 'Shape:';
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lblParm1.Visible := true;
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lblParm2.Caption := 'Scale:';
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lblParm2.Visible := true;
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edtParm1.Visible := true;
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edtParm1.Enabled := true;
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edtParm2.Visible := true;
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edtParm2.Enabled := true;
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updLeft.Position := 0;
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updRight.Position := 10;
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Value1 := 2.0;
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Value2 := 1.0;
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GetRandom := GetGamma;
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end;
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procedure TForm1.PrepForLogNormal;
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begin
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lblParm1.Caption := 'Mean:';
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lblParm1.Visible := true;
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lblParm2.Caption := 'Standard deviation:';
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lblParm2.Visible := true;
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edtParm1.Visible := true;
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edtParm1.Enabled := true;
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edtParm2.Visible := true;
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edtParm2.Enabled := true;
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updLeft.Position := 0;
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updRight.Position := 10;
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Value1 := 0.0;
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Value2 := 1.0;
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GetRandom := GetLogNormal;
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end;
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procedure TForm1.PrepForNormal;
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begin
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lblParm1.Caption := 'Mean:';
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lblParm1.Visible := true;
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lblParm2.Caption := 'Standard deviation:';
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lblParm2.Visible := true;
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edtParm1.Visible := true;
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edtParm1.Enabled := true;
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edtParm2.Visible := true;
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edtParm2.Enabled := true;
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updLeft.Position := -5;
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updRight.Position := 5;
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Value1 := 0.0;
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Value2 := 1.0;
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GetRandom := GetNormal;
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end;
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procedure TForm1.PrepForT;
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begin
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lblParm1.Caption := 'Degrees of freedom:';
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lblParm1.Visible := true;
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lblParm2.Visible := false;
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edtParm1.Visible := true;
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edtParm1.Enabled := true;
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edtParm2.Visible := false;
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edtParm2.Enabled := false;
|
370 |
|
|
updLeft.Position := -10;
|
371 |
|
|
updRight.Position := 10;
|
372 |
|
|
Value1 := 10.0;
|
373 |
|
|
Value2 := 0.0;
|
374 |
|
|
GetRandom := GetT;
|
375 |
|
|
end;
|
376 |
|
|
|
377 |
|
|
procedure TForm1.PrepForUniform;
|
378 |
|
|
begin
|
379 |
|
|
lblParm1.Caption := '(none)';
|
380 |
|
|
lblParm1.Visible := true;
|
381 |
|
|
lblParm2.Visible := false;
|
382 |
|
|
edtParm1.Visible := false;
|
383 |
|
|
edtParm1.Enabled := false;
|
384 |
|
|
edtParm2.Visible := false;
|
385 |
|
|
edtParm2.Enabled := false;
|
386 |
|
|
updLeft.Position := 0;
|
387 |
|
|
updRight.Position := 1;
|
388 |
|
|
Value1 := 0.0;
|
389 |
|
|
Value2 := 0.0;
|
390 |
|
|
GetRandom := GetUniform;
|
391 |
|
|
end;
|
392 |
|
|
|
393 |
|
|
procedure TForm1.PrepForWeibull;
|
394 |
|
|
begin
|
395 |
|
|
lblParm1.Caption := 'Shape:';
|
396 |
|
|
lblParm1.Visible := true;
|
397 |
|
|
lblParm2.Caption := 'Scale:';
|
398 |
|
|
lblParm2.Visible := true;
|
399 |
|
|
edtParm1.Visible := true;
|
400 |
|
|
edtParm1.Enabled := true;
|
401 |
|
|
edtParm2.Visible := true;
|
402 |
|
|
edtParm2.Enabled := true;
|
403 |
|
|
updLeft.Position := 0;
|
404 |
|
|
updRight.Position := 10;
|
405 |
|
|
Value1 := 2.0;
|
406 |
|
|
Value2 := 3.0;
|
407 |
|
|
GetRandom := GetWeibull;
|
408 |
|
|
end;
|
409 |
|
|
|
410 |
|
|
function TForm1.GetBeta : double;
|
411 |
|
|
begin
|
412 |
|
|
Result := PRNG.AsBeta(Value1, Value2)
|
413 |
|
|
end;
|
414 |
|
|
|
415 |
|
|
function TForm1.GetCauchy : double;
|
416 |
|
|
begin
|
417 |
|
|
Result := PRNG.AsCauchy
|
418 |
|
|
end;
|
419 |
|
|
|
420 |
|
|
function TForm1.GetChiSquared : double;
|
421 |
|
|
begin
|
422 |
|
|
if (Value1 > 65535.0) then
|
423 |
|
|
raise Exception.Create(
|
424 |
|
|
'TForm1.GetChiSquared: the degrees of freedom value 1 is too large for this example program');
|
425 |
|
|
Result := PRNG.AsChiSquared(trunc(Value1))
|
426 |
|
|
end;
|
427 |
|
|
|
428 |
|
|
function TForm1.GetErlang : double;
|
429 |
|
|
begin
|
430 |
|
|
Result := PRNG.AsErlang(Value1, trunc(Value2))
|
431 |
|
|
end;
|
432 |
|
|
|
433 |
|
|
function TForm1.GetExponential : double;
|
434 |
|
|
begin
|
435 |
|
|
Result := PRNG.AsExponential(Value1)
|
436 |
|
|
end;
|
437 |
|
|
|
438 |
|
|
function TForm1.GetF : double;
|
439 |
|
|
begin
|
440 |
|
|
if (Value1 > 65535.0) then
|
441 |
|
|
raise Exception.Create(
|
442 |
|
|
'TForm1.GetF: the degrees of freedom value 1 is too large for this example program');
|
443 |
|
|
if (Value2 > 65535.0) then
|
444 |
|
|
raise Exception.Create(
|
445 |
|
|
'TForm1.GetF: the degrees of freedom value 2 is too large for this example program');
|
446 |
|
|
Result := PRNG.AsF(trunc(Value1), trunc(Value2))
|
447 |
|
|
end;
|
448 |
|
|
|
449 |
|
|
function TForm1.GetGamma : double;
|
450 |
|
|
begin
|
451 |
|
|
Result := PRNG.AsGamma(Value1, Value2)
|
452 |
|
|
end;
|
453 |
|
|
|
454 |
|
|
function TForm1.GetLogNormal : double;
|
455 |
|
|
begin
|
456 |
|
|
Result := PRNG.AsLogNormal(Value1, Value2)
|
457 |
|
|
end;
|
458 |
|
|
|
459 |
|
|
function TForm1.GetNormal : double;
|
460 |
|
|
begin
|
461 |
|
|
Result := PRNG.AsNormal(Value1, Value2)
|
462 |
|
|
end;
|
463 |
|
|
|
464 |
|
|
function TForm1.GetT : double;
|
465 |
|
|
begin
|
466 |
|
|
if (Value1 > 65535.0) then
|
467 |
|
|
raise Exception.Create(
|
468 |
|
|
'TForm1.GetT: the degrees of freedom value is too large for this example program');
|
469 |
|
|
Result := PRNG.AsT(trunc(Value1))
|
470 |
|
|
end;
|
471 |
|
|
|
472 |
|
|
function TForm1.GetUniform : double;
|
473 |
|
|
begin
|
474 |
|
|
Result := PRNG.AsFloat
|
475 |
|
|
end;
|
476 |
|
|
|
477 |
|
|
function TForm1.GetWeibull : double;
|
478 |
|
|
begin
|
479 |
|
|
Result := PRNG.AsWeibull(Value1, Value2)
|
480 |
|
|
end;
|
481 |
|
|
|
482 |
|
|
procedure TForm1.FormCreate(Sender: TObject);
|
483 |
|
|
var
|
484 |
|
|
i : integer;
|
485 |
|
|
UniformInx : integer;
|
486 |
|
|
begin
|
487 |
|
|
cboDist.Items.Clear;
|
488 |
|
|
UniformInx := -1;
|
489 |
|
|
for i := 0 to high(DistNames) do begin
|
490 |
|
|
cboDist.Items.Add(DistNames[i]);
|
491 |
|
|
if (Copy(DistNames[i], 1, 7) = 'Uniform') then
|
492 |
|
|
UniformInx := i;
|
493 |
|
|
end;
|
494 |
|
|
cboDist.ItemIndex := UniformInx;
|
495 |
|
|
cboDistChange(Self);
|
496 |
|
|
PRNG := TStRandomSystem.Create(0);
|
497 |
|
|
end;
|
498 |
|
|
|
499 |
|
|
procedure TForm1.updRightClick(Sender: TObject; Button: TUDBtnType);
|
500 |
|
|
begin
|
501 |
|
|
lblRight.Caption := IntToStr(updRight.Position);
|
502 |
|
|
GraphRight := updRight.Position;
|
503 |
|
|
end;
|
504 |
|
|
|
505 |
|
|
procedure TForm1.updLeftClick(Sender: TObject; Button: TUDBtnType);
|
506 |
|
|
begin
|
507 |
|
|
lblLeft.Caption := IntToStr(updLeft.Position);
|
508 |
|
|
GraphLeft := updLeft.Position;
|
509 |
|
|
end;
|
510 |
|
|
|
511 |
|
|
procedure TForm1.FormDestroy(Sender: TObject);
|
512 |
|
|
begin
|
513 |
|
|
PRNG.Free;
|
514 |
|
|
end;
|
515 |
|
|
|
516 |
|
|
end.
|