And*_*and 11
是的,这实际上很容易。
可能最简单的方法是基于TTimer每秒触发大约 30 次的解决方案,每次更新表单的大小。
我们只需要满足从时间到大小(宽度或高度)的映射T,以便T (0) 是原始大小,T (1) 是最终的目标大小,而T ( t ) 是中间大小在时间t,归一化为 [0, 1]。
这里最简单的方法是让大小随时间线性增长或缩小。然而,这看起来很糟糕。相反,我们应该使用一些sigmoid 函数使速度在开始和结束时变慢,并在t = 0.5 时达到最大值。我最喜欢的 sigmoid 函数是反正切函数,但我们同样可以使用双曲正切函数或误差函数。
现在,如果FFrames[i]是i第 th 帧的大小,则
var F := 1 / ArcTan(Gamma);
for var i := 0 to High(FFrames) do
begin
var t := i / High(FFrames); // [0, 1]
t := 2*t - 1; // [-1, 1]
t := F*ArcTan(Gamma*t); // sigmoid transformation
t := (t + 1) / 2; // [0, 1]
FFrames[i] := Round((1 - t) * AFrom + t * ATo);
end;
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根据这个方案计算轨迹。请注意,这FFrames[i]是初始大小和最终大小的凸组合。
以下组件使用此代码来实现动画调整大小:
unit WindowAnimator;
interface
uses
SysUtils, Windows, Types, Classes, Vcl.Forms, Vcl.ExtCtrls;
type
TWindowAnimator = class(TComponent)
strict private
type
TAxis = (axWidth, axHeight);
const
DEFAULT_GAMMA = 10;
DEFAULT_DURATION = 1000 {ms};
FrameCount = 256;
var
FTimer: TTimer;
FGamma: Integer;
FDuration: Integer {ms};
FFrames: array[0..FrameCount - 1] of Integer;
FAxis: TAxis;
FTarget: Integer;
FAnimStart,
FAnimEnd: TDateTime;
FForm: TCustomForm;
FBeforeProc, FAfterProc: TProc;
procedure TimerProc(Sender: TObject);
procedure Plot(AFrom, ATo: Integer);
procedure Stop;
procedure Animate(ABeforeProc: TProc = nil; AAfterProc: TProc = nil);
procedure DoBegin;
procedure DoFinish;
public
constructor Create(AOwner: TComponent); override;
procedure AnimateWidth(ANewWidth: Integer; ABeforeProc: TProc = nil; AAfterProc: TProc = nil);
procedure AnimateHeight(ANewHeight: Integer; ABeforeProc: TProc = nil; AAfterProc: TProc = nil);
published
property Gamma: Integer read FGamma write FGamma default DEFAULT_GAMMA;
property Duration {ms}: Integer read FDuration write FDuration default DEFAULT_DURATION;
end;
procedure Register;
implementation
uses
Math, DateUtils;
procedure Register;
begin
RegisterComponents('Rejbrand 2020', [TWindowAnimator]);
end;
{ TWindowAnimator }
procedure TWindowAnimator.Animate(ABeforeProc, AAfterProc: TProc);
begin
if FForm = nil then
Exit;
FBeforeProc := ABeforeProc;
FAfterProc := AAfterProc;
DoBegin;
FAnimStart := Now;
FAnimEnd := IncMilliSecond(FAnimStart, FDuration);
FTimer.Enabled := True;
end;
procedure TWindowAnimator.AnimateHeight(ANewHeight: Integer;
ABeforeProc, AAfterProc: TProc);
begin
if FForm = nil then
Exit;
Stop;
FAxis := axHeight;
Plot(FForm.Height, ANewHeight);
Animate(ABeforeProc, AAfterProc);
end;
procedure TWindowAnimator.AnimateWidth(ANewWidth: Integer;
ABeforeProc, AAfterProc: TProc);
begin
if FForm = nil then
Exit;
Stop;
FAxis := axWidth;
Plot(FForm.Width, ANewWidth);
Animate(ABeforeProc, AAfterProc);
end;
constructor TWindowAnimator.Create(AOwner: TComponent);
begin
inherited;
if AOwner is TCustomForm then
FForm := TCustomForm(AOwner);
FGamma := DEFAULT_GAMMA;
FDuration := DEFAULT_DURATION;
FTimer := TTimer.Create(Self);
FTimer.Interval := 30;
FTimer.OnTimer := TimerProc;
FTimer.Enabled := False;
end;
procedure TWindowAnimator.DoBegin;
begin
if Assigned(FBeforeProc) then
FBeforeProc();
end;
procedure TWindowAnimator.DoFinish;
begin
if Assigned(FAfterProc) then
FAfterProc();
end;
procedure TWindowAnimator.Plot(AFrom, ATo: Integer);
begin
FTarget := ATo;
var F := 1 / ArcTan(Gamma);
for var i := 0 to High(FFrames) do
begin
var t := i / High(FFrames); // [0, 1]
t := 2*t - 1; // [-1, 1]
t := F*ArcTan(Gamma*t); // sigmoid transformation
t := (t + 1) / 2; // [0, 1]
FFrames[i] := Round((1 - t) * AFrom + t * ATo);
end;
end;
procedure TWindowAnimator.Stop;
begin
FTimer.Enabled := False;
end;
procedure TWindowAnimator.TimerProc(Sender: TObject);
begin
var LNow := Now;
if (FForm = nil) or (FAnimEnd = 0.0) then
begin
FTimer.Enabled := False;
Exit;
end;
if LNow > FAnimEnd then // play it safe
begin
FTimer.Enabled := False;
case FAxis of
axWidth:
FForm.Width := FTarget;
axHeight:
FForm.Height := FTarget;
end;
DoFinish;
Exit;
end;
var t := MilliSecondsBetween(LNow, FAnimStart) / MilliSecondsBetween(FAnimStart, FAnimEnd);
var i := EnsureRange(Round(t * High(FFrames)), 0, High(FFrames));
case FAxis of
axWidth:
FForm.Width := FFrames[i];
axHeight:
FForm.Height := FFrames[i];
end;
end;
end.
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要使用此组件,只需将其放在表单上并使用其公共方法:
procedure AnimateWidth(ANewWidth: Integer; ABeforeProc: TProc = nil;
AAfterProc: TProc = nil);
procedure AnimateHeight(ANewHeight: Integer; ABeforeProc: TProc = nil;
AAfterProc: TProc = nil);
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可选TProc引用让你在动画之前和/或之后运行一些代码;通常,您希望在增加大小后填充任何新获得的客户区,并在减小大小之前隐藏一些内容。
这是正在运行的组件,显示和隐藏“详细信息”文本:
下面是一个更复杂的例子,它有一个三级输入过程:
动画的总持续时间以及 sigmoid 函数的清晰度可以使用组件的已发布属性进行调整。
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