3、算法:映射到1..1000个数据点,大于等于+8的,正向封顶,设其为1000;小于等于 -8 的,负向封底,设其为1;如上面所说,为了使曲线看起来更加陡峭,可以在这里改为16封顶。其实,我最初是用+2-2来封及+4-4来封定封底的,效果已经不错了。
unit Unit1;
interface
uses
Windows, Messages, SysUtils, Variants, Classes, Graphics, Controls, Forms,
Dialogs, ExtCtrls, StdCtrls, Math;
type
TfrmMain = class(TForm)
imgAxis: TImage;
btnRandG: TButton;
GroupBox1: TGroupBox;
Splitter1: TSplitter;
grpControl: TGroupBox;
chkLogFrequency: TCheckBox;
chkDrawEdge: TCheckBox;
chkDrawLines: TCheckBox;
cboxCopyMode: TComboBox;
procedure FormShow(Sender: TObject);
procedure btnRandGClick(Sender: TObject);
procedure FormCreate(Sender: TObject);
private
{ Private declarations }
totalCount :Integer;
sampleDatas :array[1..1000] of Integer;
procedure DrawAxis;
procedure GaussIt(const ASampleData:Extended);
procedure ReDraw;
procedure DrawEdge;//画边
procedure Log(const logName:string);
public
{ Public declarations }
end;
var
frmMain: TfrmMain;
implementation
{$R *.dfm}
procedure TfrmMain.DrawAxis;
begin
imgAxis.Canvas.Pen.Color :=clLime;
imgAxis.Canvas.Pen.Mode :=pmXor;
imgAxis.Canvas.MoveTo(imgAxis.Width div 2,imgAxis.Height);
imgAxis.Canvas.LineTo(imgAxis.Width div 2,0);
imgAxis.Canvas.MoveTo(0,imgAxis.Height -10);
imgAxis.Canvas.LineTo(imgAxis.Width,imgAxis.Height -10);
end;
procedure TfrmMain.ReDraw;
var
bmp :TBitmap;
i :Integer;
begin//根据数组里面的数和totalCount重新画图
bmp :=TBitmap.Create;
try
bmp.Width :=imgAxis.Width;
bmp.Height:=imgAxis.Height;
bmp.Canvas.Brush.Color :=clBlack;
bmp.Canvas.FillRect(bmp.Canvas.ClipRect);
bmp.Canvas.Pen.Color :=clRed;
bmp.Canvas.Pen.Width :=1;
//根据Image高度和1->1000发生的频数设置画线的高度
//应该计算出图像所能反映的最小分辨率,应能体现到频数有1的变化
for i:=1 to 1000 do
begin
sampleDatas[i] :=(sampleDatas[i]*(bmp.Height-10)) *250 div totalCount;//频数->频率->实际图像高度值
sampleDatas[i] :=bmp.Height-10 -sampleDatas[i];//高度转换为实际坐标
bmp.Canvas.MoveTo(i,bmp.Height-10);
if chkDrawLines.Checked then
bmp.Canvas.LineTo(i,sampleDatas[i]);
end;
//Log('height.txt');
if cboxCopyMode.Items[cboxCopyMode.ItemIndex]='cmBlackness' then
imgAxis.Canvas.CopyMode :=cmBlackness
else if cboxCopyMode.Items[cboxCopyMode.ItemIndex]='cmDstInvert' then
imgAxis.Canvas.CopyMode :=cmDstInvert
else if cboxCopyMode.Items[cboxCopyMode.ItemIndex]='cmMergeCopy' then
imgAxis.Canvas.CopyMode :=cmMergeCopy
else if cboxCopyMode.Items[cboxCopyMode.ItemIndex]='cmMergePaint' then
imgAxis.Canvas.CopyMode :=cmMergePaint
else if cboxCopyMode.Items[cboxCopyMode.ItemIndex]='cmNotSrcCopy' then
imgAxis.Canvas.CopyMode :=cmNotSrcCopy
else if cboxCopyMode.Items[cboxCopyMode.ItemIndex]='cmNotSrcErase' then
imgAxis.Canvas.CopyMode :=cmNotSrcErase
else if cboxCopyMode.Items[cboxCopyMode.ItemIndex]='cmPatCopy' then
imgAxis.Canvas.CopyMode :=cmPatCopy
else if cboxCopyMode.Items[cboxCopyMode.ItemIndex]='cmPatInvert' then
imgAxis.Canvas.CopyMode :=cmPatInvert
else if cboxCopyMode.Items[cboxCopyMode.ItemIndex]='cmPatPaint' then
imgAxis.Canvas.CopyMode :=cmPatPaint
else if cboxCopyMode.Items[cboxCopyMode.ItemIndex]='cmSrcAnd' then
imgAxis.Canvas.CopyMode :=cmSrcAnd
else if cboxCopyMode.Items[cboxCopyMode.ItemIndex]='cmSrcCopy' then
imgAxis.Canvas.CopyMode :=cmSrcCopy
else if cboxCopyMode.Items[cboxCopyMode.ItemIndex]='cmSrcErase' then
imgAxis.Canvas.CopyMode :=cmSrcErase
else if cboxCopyMode.Items[cboxCopyMode.ItemIndex]='cmSrcInvert' then
imgAxis.Canvas.CopyMode :=cmSrcInvert
else if cboxCopyMode.Items[cboxCopyMode.ItemIndex]='cmSrcPaint' then
imgAxis.Canvas.CopyMode :=cmSrcPaint
else if cboxCopyMode.Items[cboxCopyMode.ItemIndex]='cmWhiteness' then
imgAxis.Canvas.CopyMode :=cmWhiteness;
imgAxis.Canvas.CopyRect(imgAxis.Canvas.ClipRect,bmp.Canvas,bmp.Canvas.ClipRect);
//imgAxis.Canvas.Draw(0,0,bmp);//这个不能控制CopyMode
finally
bmp.Destroy;
end;
end;
procedure TfrmMain.GaussIt(const ASampleData:Extended);
var
x :Integer;
begin
Inc(totalCount);
//ShowMessage(FloatToStr(ASampleData));
//将这个随机数映射到1..1000,正数:500->1000,负数500->1
//ASampleData>=8 ---1000
// =0 ---500
// <=-8 ---1
x :=Round(ASampleData *1000);
//确定范围
if x>=4000 then x:=4000
else if x<=-4000 then x:=-4000;
x := (x +4001) shr 3;
Inc(sampleDatas[x]);//记录发生的频数,除以总次数就是频率了
//ShowMessage(IntToStr(x));
//ShowMessage(IntToStr(sampleDatas[x]));
end;
procedure TfrmMain.FormCreate(Sender: TObject);
begin
DoubleBuffered :=true;
DrawAxis;
end;
procedure TfrmMain.btnRandGClick(Sender: TObject);
var
i:Integer;
begin
totalCount :=0;
for i:=1 to 1000 do
sampleDatas[i]:=0;
for i:=1 to 100000 do//总计10000次
GaussIt(RandG(0,1));//标准正态分布
if chkLogFrequency.Checked then
Log('afterBtn.txt');
ReDraw;
if chkDrawEdge.Checked then
DrawEdge;
DrawAxis;
end;
procedure TfrmMain.FormShow(Sender: TObject);
begin
Left :=0;
btnRandG.Click;
end;
procedure TfrmMain.Log(const logName:string);
var
i:Integer;
log:TStringList;
str:string;
begin
log :=TStringList.Create;
try
for i:=1 to 1000 do
begin
str :=Format('%.4d : %d(频数)',[i,sampleDatas[i]]);
log.Add(str);
end;
str :=Format('总数:%d',[totalCount]);
log.Add(str);
totalCount :=0;
for i:=1 to 1000 do
inc(totalCount,sampleDatas[i]);
str :=Format('实际总数:%d',[totalCount]);
log.Add(str);
log.SaveToFile(logName);
finally
log.Destroy;
end;
end;
procedure TfrmMain.DrawEdge;//画边
var
i:Integer;
points :array[1..1000] of TPoint;
begin
for i:=1 to 1000 do
begin
points[i].x :=i;
points[i].y :=sampleDatas[i];
end;
imgAxis.Canvas.Polyline(points);
end;
end.
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