Les interpolations et fonctions d'easing avec Lazarus IX - L'application pour le test des fonctions d'easing,

Un billet de Gilles Vasseur

Le 6 février 2019, par gvasseur58

0PARTAGES

L'interface de l'application de test

Maintenant que nous avons fait le tour des fonctions d'easing nécessaires, il est temps de proposer une application de test : nous allons enfin voir ces fonctions à l’œuvre ! L'objectif de l'application sera simple : des boutons feront l'aller et retour d'une zone de déplacement selon la fonction d'easing qui leur sera affectée.

Pour un aperçu efficace des courbes d'easing, nous allons créer une application sans prétention dont l'interface ressemblera à ceci :

Nous reconnaissons :

trois zones délimitées par des panneaux TPanel (un pour les contrôles de types Out ou In, un pour les contrôles de types InOut ou OutIn et un pour un composant TTrackbar afin d'ajuster la vitesse de l'animation ;
une séparation ajustable TSplitter entre les deux panneaux supérieurs afin de moduler les distances à parcourir par les contrôles animés (elle est à deviner ) ;
des boutons TButton qui serviront d'objets animés (21 dans chaque panneau : 1 pour un repère linéaire et 10 pour chaque type).

Voici le fichier LFM correspondant :

Code :

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object MainForm: TMainForm 
  Left = 304 
  Height = 623 
  Top = 197 
  Width = 953 
  Caption = 'Test des interpolations - © G. Vasseur 2019' 
  ClientHeight = 623 
  ClientWidth = 953 
  OnCreate = FormCreate 
  LCLVersion = '1.8.2.0' 
  object pnlMain: TPanel 
    Left = 10 
    Height = 553 
    Top = 10 
    Width = 933 
    Align = alClient 
    BorderSpacing.Around = 10 
    ClientHeight = 553 
    ClientWidth = 933 
    TabOrder = 0 
    OnClick = btnLinear2Click 
    object pnlLeft: TPanel 
      Left = 1 
      Height = 551 
      Top = 1 
      Width = 474 
      Align = alLeft 
      ClientHeight = 551 
      ClientWidth = 474 
      TabOrder = 0 
      OnClick = btnLinear2Click 
      object btnEaseOutBounce: TButton 
        Left = 0 
        Height = 25 
        Top = 256 
        Width = 120 
        Caption = 'EaseOutBounce' 
        OnClick = btnEaseOutQuadClick 
        TabOrder = 0 
      end 
      object btnEaseOutBack: TButton 
        Left = 0 
        Height = 25 
        Top = 232 
        Width = 120 
        Caption = 'EaseOutBack' 
        OnClick = btnEaseOutQuadClick 
        TabOrder = 1 
      end 
      object btnEaseOutElastic: TButton 
        Left = 0 
        Height = 25 
        Top = 208 
        Width = 120 
        Caption = 'EaseOutElastic' 
        OnClick = btnEaseOutQuadClick 
        TabOrder = 2 
      end 
      object btnEaseOutCirc: TButton 
        Left = 0 
        Height = 25 
        Top = 184 
        Width = 120 
        Caption = 'EaseOutCirc' 
        OnClick = btnEaseOutQuadClick 
        TabOrder = 3 
      end 
      object btnEaseOutSine: TButton 
        Left = 0 
        Height = 25 
        Top = 136 
        Width = 120 
        Caption = 'EaseOutSine' 
        OnClick = btnEaseOutQuadClick 
        TabOrder = 4 
      end 
      object btnEaseOutQuint: TButton 
        Left = 0 
        Height = 25 
        Top = 112 
        Width = 120 
        Caption = 'EaseOutQuint' 
        OnClick = btnEaseOutQuadClick 
        TabOrder = 5 
      end 
      object btnEaseOutQuad: TButton 
        Left = 0 
        Height = 25 
        Top = 40 
        Width = 120 
        Caption = 'EaseOutQuad' 
        OnClick = btnEaseOutQuadClick 
        TabOrder = 6 
      end 
      object btnEaseOutCubic: TButton 
        Left = 0 
        Height = 25 
        Top = 64 
        Width = 120 
        Caption = 'EaseOutCubic' 
        OnClick = btnEaseOutQuadClick 
        TabOrder = 7 
      end 
      object btnEaseOutQuart: TButton 
        Left = 0 
        Height = 25 
        Top = 88 
        Width = 120 
        Caption = 'EaseOutQuart' 
        OnClick = btnEaseOutQuadClick 
        TabOrder = 8 
      end 
      object btnEaseOutExpo: TButton 
        Left = 0 
        Height = 25 
        Top = 160 
        Width = 120 
        Caption = 'EaseOutExpo' 
        OnClick = btnEaseOutQuadClick 
        TabOrder = 9 
      end 
      object btnEaseInQuad: TButton 
        Left = 1 
        Height = 25 
        Top = 296 
        Width = 120 
        Caption = 'EaseInQuad' 
        OnClick = btnEaseInQuadClick 
        TabOrder = 10 
      end 
      object btnEaseInCubic: TButton 
        Left = 1 
        Height = 25 
        Top = 320 
        Width = 120 
        Caption = 'EaseInCubic' 
        OnClick = btnEaseInQuadClick 
        TabOrder = 11 
      end 
      object btnEaseInQuart: TButton 
        Left = 1 
        Height = 25 
        Top = 344 
        Width = 120 
        Caption = 'EaseInQuart' 
        OnClick = btnEaseInQuadClick 
        TabOrder = 12 
      end 
      object btnEaseInQuint: TButton 
        Left = 1 
        Height = 25 
        Top = 368 
        Width = 120 
        Caption = 'EaseInQuint' 
        OnClick = btnEaseInQuadClick 
        TabOrder = 13 
      end 
      object btnEaseInSine: TButton 
        Left = 1 
        Height = 25 
        Top = 392 
        Width = 120 
        Caption = 'EaseInSine' 
        OnClick = btnEaseInQuadClick 
        TabOrder = 14 
      end 
      object btnEaseInExpo: TButton 
        Left = 1 
        Height = 25 
        Top = 416 
        Width = 120 
        Caption = 'EaseInExpo' 
        OnClick = btnEaseInQuadClick 
        TabOrder = 15 
      end 
      object btnEaseInCirc: TButton 
        Left = 1 
        Height = 25 
        Top = 440 
        Width = 120 
        Caption = 'EaseInCirc' 
        OnClick = btnEaseInQuadClick 
        TabOrder = 16 
      end 
      object btnEaseInElastic: TButton 
        Left = 1 
        Height = 25 
        Top = 464 
        Width = 120 
        Caption = 'EaseInElastic' 
        OnClick = btnEaseInQuadClick 
        TabOrder = 17 
      end 
      object btnEaseInBack: TButton 
        Left = 1 
        Height = 25 
        Top = 488 
        Width = 120 
        Caption = 'EaseInBack' 
        OnClick = btnEaseInQuadClick 
        TabOrder = 18 
      end 
      object btnEaseInBounce: TButton 
        Left = 1 
        Height = 25 
        Top = 512 
        Width = 120 
        Caption = 'EaseInBounce' 
        OnClick = btnEaseInQuadClick 
        TabOrder = 19 
      end 
      object btnLinear: TButton 
        Left = 0 
        Height = 25 
        Top = 8 
        Width = 120 
        Caption = 'Linear' 
        Font.Style = [fsBold] 
        OnClick = btnLinear2Click 
        ParentFont = False 
        TabOrder = 20 
      end 
    end 
    object pnlRight: TPanel 
      Left = 480 
      Height = 551 
      Top = 1 
      Width = 452 
      Align = alClient 
      ClientHeight = 551 
      ClientWidth = 452 
      TabOrder = 1 
      OnClick = btnLinear2Click 
      object btnLinear2: TButton 
        Left = 0 
        Height = 25 
        Top = 8 
        Width = 120 
        Caption = 'Linear' 
        Font.Style = [fsBold] 
        OnClick = btnLinear2Click 
        ParentFont = False 
        TabOrder = 0 
      end 
      object btnEaseInOutCubic: TButton 
        Left = 0 
        Height = 25 
        Top = 320 
        Width = 120 
        Caption = 'EaseInOutCubic' 
        OnClick = btnEaseInOutQuadClick 
        TabOrder = 1 
      end 
      object btnEaseInOutQuart: TButton 
        Left = 0 
        Height = 25 
        Top = 344 
        Width = 120 
        Caption = 'EaseInOutQuart' 
        OnClick = btnEaseInOutQuadClick 
        TabOrder = 2 
      end 
      object btnEaseOutInQuart: TButton 
        Left = 0 
        Height = 25 
        Top = 88 
        Width = 120 
        Caption = 'EaseOutInQuart' 
        OnClick = btnEaseOutInQuadClick 
        TabOrder = 3 
      end 
      object btnEaseOutInCubic: TButton 
        Left = 0 
        Height = 25 
        Top = 64 
        Width = 120 
        Caption = 'EaseOutInCubic' 
        OnClick = btnEaseOutInQuadClick 
        TabOrder = 4 
      end 
      object btnEaseOutInQuint: TButton 
        Left = 0 
        Height = 25 
        Top = 112 
        Width = 120 
        Caption = 'EaseOutInQuint' 
        OnClick = btnEaseOutInQuadClick 
        TabOrder = 5 
      end 
      object btnEaseInOutQuint: TButton 
        Left = 0 
        Height = 25 
        Top = 368 
        Width = 120 
        Caption = 'EaseInOutQuint' 
        OnClick = btnEaseInOutQuadClick 
        TabOrder = 6 
      end 
      object btnEaseOutInSine: TButton 
        Left = 0 
        Height = 25 
        Top = 136 
        Width = 120 
        Caption = 'EaseOutInSine' 
        OnClick = btnEaseOutInQuadClick 
        TabOrder = 7 
      end 
      object btnEaseInOutQuad: TButton 
        Left = 0 
        Height = 25 
        Top = 296 
        Width = 120 
        Caption = 'EaseInOutQuad' 
        OnClick = btnEaseInOutQuadClick 
        TabOrder = 8 
      end 
      object btnEaseOutInQuad: TButton 
        Left = 0 
        Height = 25 
        Top = 40 
        Width = 120 
        Caption = 'EaseOutInQuad' 
        OnClick = btnEaseOutInQuadClick 
        TabOrder = 9 
      end 
      object btnEaseInOutSine: TButton 
        Left = 0 
        Height = 25 
        Top = 392 
        Width = 120 
        Caption = 'EaseInOutSine' 
        OnClick = btnEaseInOutQuadClick 
        TabOrder = 10 
      end 
      object btnEaseOutInCirc: TButton 
        Left = 0 
        Height = 25 
        Top = 184 
        Width = 120 
        Caption = 'EaseOutInCirc' 
        OnClick = btnEaseOutInQuadClick 
        TabOrder = 11 
      end 
      object btnEaseOutInElastic: TButton 
        Left = 0 
        Height = 25 
        Top = 208 
        Width = 120 
        Caption = 'EaseOutInElastic' 
        OnClick = btnEaseOutInQuadClick 
        TabOrder = 12 
      end 
      object btnEaseOutInBack: TButton 
        Left = 0 
        Height = 25 
        Top = 232 
        Width = 120 
        Caption = 'EaseOutInBack' 
        OnClick = btnEaseOutInQuadClick 
        TabOrder = 13 
      end 
      object btnEaseOutInBounce: TButton 
        Left = 0 
        Height = 25 
        Top = 256 
        Width = 120 
        Caption = 'EaseOutInBounce' 
        OnClick = btnEaseOutInQuadClick 
        TabOrder = 14 
      end 
      object btnEaseOutInExpo: TButton 
        Left = 0 
        Height = 25 
        Top = 160 
        Width = 120 
        Caption = 'EaseOutInExpo' 
        OnClick = btnEaseOutInQuadClick 
        TabOrder = 15 
      end 
      object btnEaseInOutExpo: TButton 
        Left = 0 
        Height = 25 
        Top = 416 
        Width = 120 
        Caption = 'EaseInOutExpo' 
        OnClick = btnEaseInOutQuadClick 
        TabOrder = 16 
      end 
      object btnEaseInOutCirc: TButton 
        Left = 0 
        Height = 25 
        Top = 440 
        Width = 120 
        Caption = 'EaseInOutCirc' 
        OnClick = btnEaseInOutQuadClick 
        TabOrder = 17 
      end 
      object btnEaseInOutElastic: TButton 
        Left = 0 
        Height = 25 
        Top = 464 
        Width = 120 
        Caption = 'EaseInOutElastic' 
        OnClick = btnEaseInOutQuadClick 
        TabOrder = 18 
      end 
      object btnEaseInOutBack: TButton 
        Left = 0 
        Height = 25 
        Top = 488 
        Width = 120 
        Caption = 'EaseInOutBack' 
        OnClick = btnEaseInOutQuadClick 
        TabOrder = 19 
      end 
      object btnEaseInOutBounce: TButton 
        Left = 0 
        Height = 25 
        Top = 512 
        Width = 120 
        Caption = 'EaseInOutBounce' 
        OnClick = btnEaseInOutQuadClick 
        TabOrder = 20 
      end 
    end 
    object Splitter1: TSplitter 
      Left = 475 
      Height = 551 
      Top = 1 
      Width = 5 
    end 
  end 
  object pnlBottom: TPanel 
    Left = 0 
    Height = 50 
    Top = 573 
    Width = 953 
    Align = alBottom 
    BorderSpacing.InnerBorder = 10 
    ClientHeight = 50 
    ClientWidth = 953 
    TabOrder = 1 
    object tbarWait: TTrackBar 
      Left = 11 
      Height = 28 
      Top = 11 
      Width = 301 
      Max = 100 
      OnChange = tbarWaitChange 
      Position = 0 
      Align = alLeft 
      BorderSpacing.Around = 10 
      TabOrder = 0 
    end 
  end 
end

Ce long listing ne doit pas effrayer : en fait, il indique où sont placés les composants (ce qui peut varier selon vos goûts), leur intitulé (qui correspond pour les boutons à la fonction représentée), leur taille (les boutons ont tous une largeur de 120, mais cette valeur est indicative) ainsi que le gestionnaire d'événement OnClick associé (les boutons sont regroupés par catégories comme le montrera le code). De toute façon, le code source complet de l'unité est fourni à la fin de billet.

Comme annoncé, vous noterez la présence d'un TTrackbar qui déterminera la vitesse (de manière très grossière pour le moment) d'exécution des interpolations, ainsi que d'un TSplitter dont la fonction sera de modifier à volonté la largeur des zones de déplacement afin de voir comment se comportent les fonctions sur des trajets plus ou moins longs.

Aucune action n'est nécessaire pour le TSplitter qui saura dimensionner les panneaux suivant le choix de l'utilisateur final.

Le code associé à l'application

Le code reprend celui décrit dans les billets précédents, mais il ajoute la gestion des clics sur les boutons. Sachant que les coordonnées des boutons sont des entiers, on a simplement introduit une variante à valeur entière des différentes interpolations qui utilisaient des nombres flottants Single.

Une fois toutes les fonctions solidement définies, le reste de l'application ne met en œuvre que des techniques habituelles.
Nous déclarons des constantes pour la valeur de fin à atteindre et la durée par défaut ainsi qu'une énumération afin de différencier les interpolations :

Code delphi :

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const 
 C_DefaultDuration = 100; 
 C_End = 200; 
  
type 
  
 TInterpolation = (intLinear, 
    intEaseInQuad, intEaseOutQuad, intEaseInOutQuad, intEaseOutInQuad, 
    intEaseInCubic, intEaseOutCubic, intEaseInOutCubic, intEaseOutInCubic, 
    intEaseInQuart, intEaseOutQuart, intEaseInOutQuart, intEaseOutInQuart, 
    intEaseInQuint, intEaseOutQuint, intEaseInOutQuint, intEaseOutInQuint, 
    intEaseInSine, intEaseOutSine, intEaseInOutSine, intEaseOutInSine, 
    intEaseInExpo, intEaseOutExpo, intEaseInOutExpo, intEaseOutInExpo, 
    intEaseInCirc, intEaseOutCirc, intEaseInOutCirc, intEaseOutInCirc, 
    intEaseInElastic, intEaseOutElastic, intEaseInOutElastic, intEaseOutInElastic, 
    intEaseInBack, intEaseOutBack, intEaseInOutBack, intEaseOutInBack, 
    intEaseInBounce, intEaseOutBounce, intEaseInOutBounce, intEaseOutInBounce 
    );

Les clics ont été modulés ainsi : un clic sur un des boutons de référence (btnLinear et btnLinear2), c'est-à-dire suivant un parcours linéaire, provoque le déplacement des tous les boutons. En revanche, un clic sur un autre bouton provoque seulement le déplacement de son groupe (Out, In, OutIn ou InOut).

Voici le code associé aux premiers boutons dits de référence :

Code delphi :

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procedure TMainForm.btnLinear2Click(Sender: TObject); 
// *** lancement des animations *** 
var 
  Li, LWidth, LWidth2: Integer; 
  LBack: Boolean; 
begin 
  tbarWait.Enabled := False; 
  LWidth := pnlLeft.Width - btnLinear2.Width; 
  LWidth2 := pnlRight.Width - btnLinear.Width; 
  for LBack := False to True do 
    for Li := 1 to fDuration do 
    begin 
      btnLinear.Left := ComputeInterpolationInt(0, LWidth, Li, intLinear, LBack); 
      btnLinear2.Left := ComputeInterpolationInt(0, LWidth2, Li, intLinear, LBack); 
  
      btnEaseInQuad.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseInQuad, LBack); 
      btnEaseOutQuad.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseOutQuad, LBack); 
      btnEaseInOutQuad.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseInOutQuad, LBack); 
      btnEaseOutInQuad.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseOutInQuad, LBack); 
  
      btnEaseInCubic.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseInCubic, LBack); 
      btnEaseOutCubic.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseOutCubic, LBack); 
      btnEaseInOutCubic.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseInOutCubic, LBack); 
      btnEaseOutInCubic.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseOutInCubic, LBack); 
  
      btnEaseInQuart.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseInQuart, LBack); 
      btnEaseOutQuart.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseOutQuart, LBack); 
      btnEaseInOutQuart.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseInOutQuart, LBack); 
      btnEaseOutInQuart.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseOutInQuart, LBack); 
  
      btnEaseInQuint.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseInQuint, LBack); 
      btnEaseOutQuint.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseOutQuint, LBack); 
      btnEaseInOutQuint.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseInOutQuint, LBack); 
      btnEaseOutInQuint.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseOutInQuint, LBack); 
  
      btnEaseInSine.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseInSine, LBack); 
      btnEaseOutSine.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseOutSine, LBack); 
      btnEaseInOutSine.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseInOutSine, LBack); 
      btnEaseOutInSine.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseOutInSine, LBack); 
  
      btnEaseInExpo.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseInExpo, LBack); 
      btnEaseOutExpo.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseOutExpo, LBack); 
      btnEaseInOutExpo.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseInOutExpo, LBack); 
      btnEaseOutInExpo.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseOutInExpo, LBack); 
  
      btnEaseInCirc.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseInCirc, LBack); 
      btnEaseOutCirc.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseOutCirc, LBack); 
      btnEaseInOutCirc.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseInOutCirc, LBack); 
      btnEaseOutInCirc.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseOutInCirc, LBack); 
  
      btnEaseInElastic.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseInElastic, LBack); 
      btnEaseOutElastic.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseOutElastic, LBack); 
      btnEaseInOutElastic.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseInOutElastic, LBack); 
      btnEaseOutInElastic.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseOutInElastic, LBack); 
  
      btnEaseInBack.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseInBack, LBack); 
      btnEaseOutBack.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseOutBack, LBack); 
      btnEaseInOutBack.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseInOutBack, LBack); 
      btnEaseOutInBack.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseOutInBack, LBack); 
  
      btnEaseInBounce.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseInBounce, LBack); 
      btnEaseOutBounce.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseOutBounce, LBack); 
      btnEaseInOutBounce.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseInOutBounce, LBack); 
      btnEaseOutInBounce.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseOutInBounce, LBack); 
  
      sleep(10); 
      Repaint; 
      Application.ProcessMessages; 
    end; 
  tbarWait.Enabled := True; 
end;

Dans deux boucles imbriquées qui prennent en compte le sens du déplacement (booléen Back) et la portion de durée effectuée (Li pour fDuration), les boutons sont tous déplacés grâce à la modification de leur propriété Left.
C'est le résultat entier de la fonction ComputeInterpolationInt qui est affecté à cette propriété Left de chaque bouton. La fonction calcule la valeur à retourner en fonction du point de départ, du point d'arrivée, du type d'interpolation et du sens de déplacement.

Après le déplacement, un temps d'arrêt est donné via sleep pour éviter une exécution trop rapide, la zone d'affichage est repeinte avec Repaint pour prendre en compte les changements et un appel est fait à Application.ProcessMessages pour répondre aux éventuels messages non traités (comme l'arrêt de l'application par exemple).

Vous remarquerez que le TTrackBar est désactivé pendant les mouvements afin de garantir l'homogénéité des données durant le processus d'interpolation.

De la même manière, voici le code correspondant aux clics sur les boutons de type In :

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procedure TMainForm.btnEaseInQuadClick(Sender: TObject); 
// *** fonctions IN *** 
var 
  Li, LWidth: Integer; 
  LBack: Boolean; 
begin 
  tbarWait.Enabled := False; 
  LWidth := pnlLeft.Width - btnLinear2.Width; 
  for LBack := False to True do 
    for Li := 1 to fDuration do 
    begin 
      btnLinear.Left := ComputeInterpolationInt(0, LWidth, Li, intLinear, LBack); 
      btnEaseInQuad.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseInQuad, LBack); 
      btnEaseInCubic.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseInCubic, LBack); 
      btnEaseInQuart.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseInQuart, LBack); 
      btnEaseInQuint.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseInQuint, LBack); 
      btnEaseInSine.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseInSine, LBack); 
      btnEaseInExpo.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseInExpo, LBack); 
      btnEaseInCirc.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseInCirc, LBack); 
      btnEaseInElastic.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseInElastic, LBack); 
      btnEaseInBack.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseInBack, LBack); 
      btnEaseInBounce.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseInBounce, LBack); 
      sleep(10); 
      pnlLeft.Repaint; 
      Application.ProcessMessages; 
    end; 
  tbarWait.Enabled := True; 
end;

Le code est similaire au précédent sinon que seuls sont affectés les boutons visés et que la méthode Repaint n'affecte que le panneau modifié. Nous renvoyons au code fourni à la fin de ce billet pour les autres types de fonction : il est évidemment construit sur le même modèle.

Reste à gérer la durée qui est une propriété nommée Duration qui elle-même fait référence à un champ privé fDuration à travers un setter :

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property Duration: Cardinal read fDuration write SetDuration default C_DefaultDuration;

Le setter peut sembler superflu, mais il prépare une meilleure gestion de la durée qui n'est pour le moment qu'une suite linéaire de valeurs entières.

Les méthodes associées sont simples et en relation avec le composant TTrackbar qui fournit la valeur brute de la durée :

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procedure TMainForm.tbarWaitChange(Sender: TObject); 
// *** changement de la vitesse *** 
begin 
  Duration := tbarWait.Position; 
end; 
  
procedure TMainForm.SetDuration(AValue: Cardinal); 
// *** détermination de la durée d'interpolation *** 
begin 
  if fDuration = C_End - AValue then 
    Exit; 
  fDuration := C_End - AValue; 
end;

Il ne reste que la création de la fiche à compléter pour obtenir une application fonctionnelle :

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procedure TMainForm.FormCreate(Sender: TObject); 
// *** création de la fiche *** 
begin 
  Duration := C_DefaultDuration; 
  tbarWait.Max := C_End; 
  tbarWait.Position := fDuration; 
end;

Nous devons en effet renseigner la valeur de la durée par défaut et ajuster correctement les propriétés du composant TTrackbar.

La méthode ComputeInterpolationInt renvoie à une méthode ComputeInterpolation calquée sur les fonctions que nous avions déjà produites :

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function TMainForm.ComputeInterpolationInt(AStart, AEnd: Integer; 
  AStep: Integer; AInter: TInterpolation; ABack: Boolean): Integer; 
// *** interpolation entière *** 
begin 
  Result := Round(ComputeInterpolation(AStart, AEnd, AStep, AInter, ABack)); 
end;

Voici le code de cette méthode ComputeInterpolation :

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function TMainForm.ComputeInterpolation(AStart, AEnd, AStep: Single; 
  AInter: TInterpolation; ABack: Boolean): Single; 
// *** calcul des interpolations *** 
begin 
  case AInter of 
    // linéaire 
    intLinear: Result := EaseNone(AStart, AEnd, AStep); 
    // quadratique 
    intEaseInQuad: Result := EaseInQuad(AStart, AEnd, AStep); 
    intEaseOutQuad: Result := EaseOutQuad(AStart, AEnd, AStep); 
    intEaseInOutQuad: Result := EaseInOutQuad(AStart, AEnd, AStep); 
    intEaseOutInQuad: Result := EaseOutInQuad(AStart, AEnd, AStep); 
    // cubique 
    intEaseInCubic: Result := EaseInCubic(AStart, AEnd, AStep); 
    intEaseOutCubic: Result := EaseOutCubic(AStart, AEnd, AStep); 
    intEaseInOutCubic: Result := EaseInOutCubic(AStart, AEnd, AStep); 
    intEaseOutInCubic: Result := EaseOutInCubic(AStart, AEnd, AStep); 
    // quartique 
    intEaseInQuart: Result := EaseInQuart(AStart, AEnd, AStep); 
    intEaseOutQuart: Result := EaseOutQuart(AStart, AEnd, AStep); 
    intEaseInOutQuart:  Result := EaseInOutQuart(AStart, AEnd, AStep); 
    intEaseOutInQuart: Result := EaseOutInQuart(AStart, AEnd, AStep); 
    // quintique 
    intEaseInQuint: Result := EaseInQuint(AStart, AEnd, AStep); 
    intEaseOutQuint: Result := EaseOutQuint(AStart, AEnd, AStep); 
    intEaseInOutQuint:  Result := EaseInOutQuint(AStart, AEnd, AStep); 
    intEaseOutInQuint: Result := EaseOutInQuint(AStart, AEnd, AStep); 
    // sinus 
    intEaseInSine: Result := EaseInSine(AStart, AEnd, AStep); 
    intEaseOutSine: Result := EaseOutSine(AStart, AEnd, AStep); 
    intEaseInOutSine: Result := EaseInOutSine(AStart, AEnd, AStep); 
    intEaseOutInSine: Result := EaseOutInSine(AStart, AEnd, AStep); 
    // exponentielle 
    intEaseInExpo: Result := EaseInExpo(AStart, AEnd, AStep); 
    intEaseOutExpo: Result := EaseOutExpo(AStart, AEnd, AStep); 
    intEaseInOutExpo: Result := EaseInOutExpo(AStart, AEnd, AStep); 
    intEaseOutInExpo: Result := EaseOutInExpo(AStart, AEnd, AStep); 
    // cercle 
    intEaseInCirc: Result := EaseInCirc(AStart, AEnd, AStep); 
    intEaseOutCirc: Result := EaseOutCirc(AStart, AEnd, AStep); 
    intEaseInOutCirc: Result := EaseInOutCirc(AStart, AEnd, AStep); 
    intEaseOutInCirc: Result := EaseOutInCirc(AStart, AEnd, AStep); 
    // élastique 
    intEaseInElastic: Result := EaseInElastic(AStart, AEnd, AStep); 
    intEaseOutElastic: Result := EaseOutElastic(AStart, AEnd, AStep); 
    intEaseInOutElastic: Result := EaseInOutElastic(AStart, AEnd, AStep); 
    intEaseOutInElastic: Result := EaseOutInElastic(AStart, AEnd, AStep); 
    // retour 
    intEaseInBack: Result := EaseInBack(AStart, AEnd, AStep); 
    intEaseOutBack: Result := EaseOutBack(AStart, AEnd, AStep); 
    intEaseInOutBack: Result := EaseInOutBack(AStart, AEnd, AStep); 
    intEaseOutInBack: Result := EaseOutInBack(AStart, AEnd, AStep); 
    // rebond 
    intEaseInBounce: Result := EaseInBounce(AStart, AEnd, AStep); 
    intEaseOutBounce: Result := EaseOutBounce(AStart, AEnd, AStep); 
    intEaseInOutBounce: Result := EaseInOutBounce(AStart, AEnd, AStep); 
    intEaseOutInBounce: Result := EaseOutInBounce(AStart, AEnd, AStep); 
  end; 
  if ABack then 
    Result := AEnd - Result; 
end;

Comme attendu, elle fonctionne à la manière d'une gare de triage selon la fonction d'easing voulue.

Finalement, l'unité complète donnera :

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{¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤@ 
@                                                                      @ 
@              Nom du produit : GVTransitions - interpolations 02      @ 
@              Nom du fichier : main.pas                               @ 
@              Copyright : G. Vasseur 2019                             @ 
@              Contact : gillesvasseur58@gmail.com                     @ 
@              Date/Heure : 05/02/2019 12:20:05                        @ 
@              Version : 1.0.0.14                                      @ 
@                                                                      @ 
@¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤} 
  
{ Transitions entre deux images - interpolations 
  
Copyright (C) 05/02/2019 12:20:05 G. Vasseur 2018 gillesvasseur58@gmail.com 
  
This source is free software; you can redistribute it and/or modify it under 
the terms of the GNU General Public License as published by the Free 
Software Foundation; either version 2 of the License, or (at your option) 
any later version. 
  
This code is distributed in the hope that it will be useful, but WITHOUT ANY 
WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS 
FOR A PARTICULAR PURPOSE.  See the GNU General Public License for more 
details. 
  
A copy of the GNU General Public License is available on the World Wide Web 
at <http://www.gnu.org/copyleft/gpl.html>. You can also obtain it by writing 
to the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, 
MA 02111-1307, USA. 
} 
  
unit main; 
  
{$mode objfpc}{$H+} 
  
interface 
  
uses 
  Classes, SysUtils, FileUtil, Forms, Controls, Graphics, Dialogs, ExtCtrls, 
  StdCtrls, ComCtrls; 
  
const 
 C_DefaultDuration = 100; 
 C_End = 200; 
  
type 
  
 TInterpolation = (intLinear, 
    intEaseInQuad, intEaseOutQuad, intEaseInOutQuad, intEaseOutInQuad, 
    intEaseInCubic, intEaseOutCubic, intEaseInOutCubic, intEaseOutInCubic, 
    intEaseInQuart, intEaseOutQuart, intEaseInOutQuart, intEaseOutInQuart, 
    intEaseInQuint, intEaseOutQuint, intEaseInOutQuint, intEaseOutInQuint, 
    intEaseInSine, intEaseOutSine, intEaseInOutSine, intEaseOutInSine, 
    intEaseInExpo, intEaseOutExpo, intEaseInOutExpo, intEaseOutInExpo, 
    intEaseInCirc, intEaseOutCirc, intEaseInOutCirc, intEaseOutInCirc, 
    intEaseInElastic, intEaseOutElastic, intEaseInOutElastic, intEaseOutInElastic, 
    intEaseInBack, intEaseOutBack, intEaseInOutBack, intEaseOutInBack, 
    intEaseInBounce, intEaseOutBounce, intEaseInOutBounce, intEaseOutInBounce 
    ); 
  
  { TMainForm } 
  
  TMainForm = class(TForm) 
    btnEaseOutInQuart: TButton; 
    btnLinear2: TButton; 
    btnEaseInQuad: TButton; 
    btnEaseOutCubic: TButton; 
    btnEaseInCubic: TButton; 
    btnEaseOutQuad: TButton; 
    btnEaseInOutCubic: TButton; 
    btnEaseInOutQuart: TButton; 
    btnEaseOutInCubic: TButton; 
    btnEaseInQuart: TButton; 
    btnEaseOutQuart: TButton; 
    btnEaseInQuint: TButton; 
    btnEaseOutQuint: TButton; 
    btnEaseOutInQuint: TButton; 
    btnEaseInOutQuint: TButton; 
    btnEaseInSine: TButton; 
    btnEaseOutSine: TButton; 
    btnEaseInOutSine: TButton; 
    btnEaseOutInSine: TButton; 
    btnEaseInOutQuad: TButton; 
    btnEaseOutInQuad: TButton; 
    btnEaseInExpo: TButton; 
    btnEaseInCirc: TButton; 
    btnEaseInElastic: TButton; 
    btnEaseInBack: TButton; 
    btnEaseInBounce: TButton; 
    btnEaseOutCirc: TButton; 
    btnEaseOutElastic: TButton; 
    btnEaseOutBack: TButton; 
    btnEaseOutBounce: TButton; 
    btnEaseOutExpo: TButton; 
    btnLinear: TButton; 
    btnEaseOutInCirc: TButton; 
    btnEaseOutInElastic: TButton; 
    btnEaseOutInBack: TButton; 
    btnEaseOutInBounce: TButton; 
    btnEaseInOutExpo: TButton; 
    btnEaseInOutCirc: TButton; 
    btnEaseInOutElastic: TButton; 
    btnEaseInOutBack: TButton; 
    btnEaseOutInExpo: TButton; 
    btnEaseInOutBounce: TButton; 
    pnlRight: TPanel; 
    pnlLeft: TPanel; 
    pnlBottom: TPanel; 
    pnlMain: TPanel; 
    Splitter1: TSplitter; 
    tbarWait: TTrackBar; 
    procedure btnEaseInOutQuadClick(Sender: TObject); 
    procedure btnEaseInQuadClick(Sender: TObject); 
    procedure btnEaseOutInQuadClick(Sender: TObject); 
    procedure btnEaseOutQuadClick(Sender: TObject); 
    procedure btnLinear2Click(Sender: TObject); 
    procedure FormCreate(Sender: TObject); 
    procedure tbarWaitChange(Sender: TObject); 
  private 
    fDuration: Cardinal; 
    procedure SetDuration(AValue: Cardinal); 
    function InPower(AStart, AChange, AStep: Single; APower: Integer): Single; 
    function OutPower(AStart, AChange, AStep: Single; APower: Integer): Single; 
    function InOutPower(AStart, AChange, AStep: Single; APower: Integer): Single; 
  protected 
    function EaseNone(AStart, AChange, AStep: Single): Single; 
    function EaseInQuad(AStart, AChange, AStep: Single): Single; 
    function EaseOutQuad(AStart, AChange, AStep: Single): Single; 
    function EaseInOutQuad(AStart, AChange, AStep: Single): Single; 
    function EaseOutInQuad(AStart, AChange, AStep: Single): Single; 
    function EaseInCubic(AStart, AChange, AStep: Single): Single; 
    function EaseOutCubic(AStart, AChange, AStep: Single): Single; 
    function EaseInOutCubic(AStart, AChange, AStep: Single): Single; 
    function EaseOutInCubic(AStart, AChange, AStep: Single): Single; 
    function EaseInQuart(AStart, AChange, AStep: Single): Single; 
    function EaseOutQuart(AStart, AChange, AStep: Single): Single; 
    function EaseInOutQuart(AStart, AChange, AStep: Single): Single; 
    function EaseOutInQuart(AStart, AChange, AStep: Single): Single; 
    function EaseInQuint(AStart, AChange, AStep: Single): Single; 
    function EaseOutQuint(AStart, AChange, AStep: Single): Single; 
    function EaseInOutQuint(AStart, AChange, AStep: Single): Single; 
    function EaseOutInQuint(AStart, AChange, AStep: Single): Single; 
    function EaseInSine(AStart, AChange, AStep: Single): Single; 
    function EaseOutSine(AStart, AChange, AStep: Single): Single; 
    function EaseInOutSine(AStart, AChange, AStep: Single): Single; 
    function EaseOutInSine(AStart, AChange, AStep: Single): Single; 
    function EaseInExpo(AStart, AChange, AStep: Single): Single; 
    function EaseOutExpo(AStart, AChange, AStep: Single): Single; 
    function EaseInOutExpo(AStart, AChange, AStep: Single): Single; 
    function EaseOutInExpo(AStart, AChange, AStep: Single): Single; 
    function EaseInCirc(AStart, AChange, AStep: Single): Single; 
    function EaseOutCirc(AStart, AChange, AStep: Single): Single; 
    function EaseInOutCirc(AStart, AChange, AStep: Single): Single; 
    function EaseOutInCirc(AStart, AChange, AStep: Single): Single; 
    function EaseInElastic(AStart, AChange, AStep: Single): Single; 
    function EaseOutElastic(AStart, AChange, AStep: Single): Single; 
    function EaseInOutElastic(AStart, AChange, AStep: Single): Single; 
    function EaseOutInElastic(AStart, AChange, AStep: Single): Single; 
    function EaseInBack(AStart, AChange, AStep: Single): Single; 
    function EaseOutBack(AStart, AChange, AStep: Single): Single; 
    function EaseInOutBack(AStart, AChange, AStep: Single): Single; 
    function EaseOutInBack(AStart, AChange, AStep: Single): Single; 
    function EaseInOutBounce(AStart, AChange, AStep: Single): Single; 
    function EaseOutInBounce(AStart, AChange, AStep: Single): Single; 
    function EaseInBounce(AStart, AChange, AStep: Single): Single; 
    function EaseOutBounce(AStart, AChange, AStep: Single): Single; 
  public 
    property Duration: Cardinal read fDuration write SetDuration default C_DefaultDuration; 
    function ComputeInterpolation(AStart, AEnd, AStep: Single; AInter: TInterpolation; 
      ABack: Boolean = False): Single; 
    function ComputeInterpolationInt(AStart, AEnd: Integer; AStep: Integer; AInter: TInterpolation; 
      ABack: Boolean = False): Integer; 
  end; 
  
var 
  MainForm: TMainForm; 
  
implementation 
  
uses 
  math; 
  
{$R *.lfm} 
  
{ TMainForm } 
  
procedure TMainForm.btnLinear2Click(Sender: TObject); 
// *** lancement des animations *** 
var 
  Li, LWidth, LWidth2: Integer; 
  LBack: Boolean; 
begin 
  tbarWait.Enabled := False; 
  LWidth := pnlLeft.Width - btnLinear2.Width; 
  LWidth2 := pnlRight.Width - btnLinear.Width; 
  for LBack := False to True do 
    for Li := 1 to fDuration do 
    begin 
      btnLinear.Left := ComputeInterpolationInt(0, LWidth, Li, intLinear, LBack); 
      btnLinear2.Left := ComputeInterpolationInt(0, LWidth2, Li, intLinear, LBack); 
  
      btnEaseInQuad.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseInQuad, LBack); 
      btnEaseOutQuad.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseOutQuad, LBack); 
      btnEaseInOutQuad.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseInOutQuad, LBack); 
      btnEaseOutInQuad.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseOutInQuad, LBack); 
  
      btnEaseInCubic.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseInCubic, LBack); 
      btnEaseOutCubic.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseOutCubic, LBack); 
      btnEaseInOutCubic.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseInOutCubic, LBack); 
      btnEaseOutInCubic.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseOutInCubic, LBack); 
  
      btnEaseInQuart.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseInQuart, LBack); 
      btnEaseOutQuart.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseOutQuart, LBack); 
      btnEaseInOutQuart.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseInOutQuart, LBack); 
      btnEaseOutInQuart.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseOutInQuart, LBack); 
  
      btnEaseInQuint.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseInQuint, LBack); 
      btnEaseOutQuint.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseOutQuint, LBack); 
      btnEaseInOutQuint.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseInOutQuint, LBack); 
      btnEaseOutInQuint.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseOutInQuint, LBack); 
  
      btnEaseInSine.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseInSine, LBack); 
      btnEaseOutSine.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseOutSine, LBack); 
      btnEaseInOutSine.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseInOutSine, LBack); 
      btnEaseOutInSine.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseOutInSine, LBack); 
  
      btnEaseInExpo.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseInExpo, LBack); 
      btnEaseOutExpo.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseOutExpo, LBack); 
      btnEaseInOutExpo.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseInOutExpo, LBack); 
      btnEaseOutInExpo.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseOutInExpo, LBack); 
  
      btnEaseInCirc.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseInCirc, LBack); 
      btnEaseOutCirc.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseOutCirc, LBack); 
      btnEaseInOutCirc.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseInOutCirc, LBack); 
      btnEaseOutInCirc.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseOutInCirc, LBack); 
  
      btnEaseInElastic.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseInElastic, LBack); 
      btnEaseOutElastic.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseOutElastic, LBack); 
      btnEaseInOutElastic.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseInOutElastic, LBack); 
      btnEaseOutInElastic.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseOutInElastic, LBack); 
  
      btnEaseInBack.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseInBack, LBack); 
      btnEaseOutBack.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseOutBack, LBack); 
      btnEaseInOutBack.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseInOutBack, LBack); 
      btnEaseOutInBack.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseOutInBack, LBack); 
  
      btnEaseInBounce.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseInBounce, LBack); 
      btnEaseOutBounce.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseOutBounce, LBack); 
      btnEaseInOutBounce.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseInOutBounce, LBack); 
      btnEaseOutInBounce.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseOutInBounce, LBack); 
  
      sleep(10); 
      Repaint; 
      Application.ProcessMessages; 
    end; 
  tbarWait.Enabled := True; 
end; 
  
procedure TMainForm.btnEaseInQuadClick(Sender: TObject); 
// *** fonctions IN *** 
var 
  Li, LWidth: Integer; 
  LBack: Boolean; 
begin 
  tbarWait.Enabled := False; 
  LWidth := pnlLeft.Width - btnLinear2.Width; 
  for LBack := False to True do 
    for Li := 1 to fDuration do 
    begin 
      btnLinear.Left := ComputeInterpolationInt(0, LWidth, Li, intLinear, LBack); 
      btnEaseInQuad.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseInQuad, LBack); 
      btnEaseInCubic.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseInCubic, LBack); 
      btnEaseInQuart.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseInQuart, LBack); 
      btnEaseInQuint.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseInQuint, LBack); 
      btnEaseInSine.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseInSine, LBack); 
      btnEaseInExpo.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseInExpo, LBack); 
      btnEaseInCirc.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseInCirc, LBack); 
      btnEaseInElastic.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseInElastic, LBack); 
      btnEaseInBack.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseInBack, LBack); 
      btnEaseInBounce.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseInBounce, LBack); 
      sleep(10); 
      pnlLeft.Repaint; 
      Application.ProcessMessages; 
    end; 
  tbarWait.Enabled := True; 
end; 
  
procedure TMainForm.btnEaseInOutQuadClick(Sender: TObject); 
// *** fonctions INOUT *** 
var 
  Li, LWidth2: Integer; 
  LBack: Boolean; 
begin 
  tbarWait.Enabled := False; 
  LWidth2 := pnlRight.Width - btnLinear.Width; 
  for LBack := False to True do 
    for Li := 1 to fDuration do 
    begin 
      btnLinear2.Left := ComputeInterpolationInt(0, LWidth2, Li, intLinear, LBack); 
      btnEaseInOutQuad.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseInOutQuad, LBack); 
      btnEaseInOutCubic.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseInOutCubic, LBack); 
      btnEaseInOutQuart.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseInOutQuart, LBack); 
      btnEaseInOutQuint.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseInOutQuint, LBack); 
      btnEaseInOutSine.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseInOutSine, LBack); 
      btnEaseInOutExpo.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseInOutExpo, LBack); 
      btnEaseInOutCirc.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseInOutCirc, LBack); 
      btnEaseInOutElastic.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseInOutElastic, LBack); 
      btnEaseInOutBack.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseInOutBack, LBack); 
      btnEaseInOutBounce.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseInOutBounce, LBack); 
      sleep(10); 
      pnlRight.Repaint; 
      Application.ProcessMessages; 
    end; 
  tbarWait.Enabled := True; 
end; 
  
procedure TMainForm.btnEaseOutInQuadClick(Sender: TObject); 
// *** fonctions OUTIN *** 
var 
  Li, LWidth2: Integer; 
  LBack: Boolean; 
begin 
  tbarWait.Enabled := False; 
  LWidth2 := pnlRight.Width - btnLinear.Width; 
  for LBack := False to True do 
    for Li := 1 to fDuration do 
    begin 
      btnLinear2.Left := ComputeInterpolationInt(0, LWidth2, Li, intLinear, LBack); 
      btnEaseOutInQuad.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseOutInQuad, LBack); 
      btnEaseOutInCubic.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseOutInCubic, LBack); 
      btnEaseOutInQuart.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseOutInQuart, LBack); 
      btnEaseOutInQuint.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseOutInQuint, LBack); 
      btnEaseOutInSine.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseOutInSine, LBack); 
      btnEaseOutInExpo.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseOutInExpo, LBack); 
      btnEaseOutInCirc.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseOutInCirc, LBack); 
      btnEaseOutInElastic.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseOutInElastic, LBack); 
      btnEaseOutInBack.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseOutInBack, LBack); 
      btnEaseOutInBounce.Left := ComputeInterpolationInt(0, LWidth2, Li, intEaseOutInBounce, LBack); 
      sleep(10); 
      pnlRight.Repaint; 
      Application.ProcessMessages; 
    end; 
  tbarWait.Enabled := True; 
end; 
  
procedure TMainForm.btnEaseOutQuadClick(Sender: TObject); 
// *** fonctions OUT *** 
var 
  Li, LWidth: Integer; 
  LBack: Boolean; 
begin 
  tbarWait.Enabled := False; 
  LWidth := pnlLeft.Width - btnLinear2.Width; 
  for LBack := False to True do 
    for Li := 1 to fDuration do 
    begin 
      btnLinear.Left := ComputeInterpolationInt(0, LWidth, Li, intLinear, LBack); 
      btnEaseOutQuad.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseOutQuad, LBack); 
      btnEaseOutCubic.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseOutCubic, LBack); 
      btnEaseOutQuart.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseOutQuart, LBack); 
      btnEaseOutQuint.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseOutQuint, LBack); 
      btnEaseOutSine.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseOutSine, LBack); 
      btnEaseOutExpo.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseOutExpo, LBack); 
      btnEaseOutCirc.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseOutCirc, LBack); 
      btnEaseOutElastic.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseOutElastic, LBack); 
      btnEaseOutBack.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseOutBack, LBack); 
      btnEaseOutBounce.Left := ComputeInterpolationInt(0, LWidth, Li, intEaseOutBounce, LBack); 
      sleep(10); 
      pnlLeft.Repaint; 
      Application.ProcessMessages; 
    end; 
  tbarWait.Enabled := True; 
end; 
  
procedure TMainForm.FormCreate(Sender: TObject); 
// *** création de la fiche *** 
begin 
  Duration := C_DefaultDuration; 
  tbarWait.Max := C_End; 
  tbarWait.Position := fDuration; 
end; 
  
procedure TMainForm.tbarWaitChange(Sender: TObject); 
// *** changement de la vitesse *** 
begin 
  Duration := tbarWait.Position; 
end; 
  
procedure TMainForm.SetDuration(AValue: Cardinal); 
// *** détermination de la durée d'interpolation *** 
begin 
  if fDuration =AValue then 
    Exit; 
  fDuration := AValue; 
end; 
  
function TMainForm.InPower(AStart, AChange, AStep: Single; APower: Integer 
  ): Single; 
// *** calcul d'une interpolation de type IN pour les puissances *** 
begin 
  Result := AChange * Power(AStep / fDuration, APower) + AStart; 
end; 
  
function TMainForm.OutPower(AStart, AChange, AStep: Single; APower: Integer 
  ): Single; 
// *** calcul d'une interpolation de type OUT pour les puissances *** 
var 
  LSign: Integer; 
begin 
  LSign := ifthen(Odd(APower), 1, -1); 
  Result := LSign * AChange * (Power(AStep / fDuration - 1, APower) + LSign) + AStart; 
end; 
  
function TMainForm.InOutPower(AStart, AChange, AStep: Single; APower: Integer 
  ): Single; 
// *** calcul d'une interpolation de type INOUT pour les puissances *** 
var 
  LSign: Integer; 
begin 
  LSign := ifthen(Odd(APower), 1, -1); 
  AStep := AStep / fDuration * 2; 
  if AStep < 1 then 
    Result := AChange / 2 * Power(AStep, APower) + AStart 
  else 
    Result :=  LSign * AChange / 2 * (Power(AStep - 2, APower) + LSign * 2) + AStart; 
end; 
  
function TMainForm.EaseNone(AStart, AChange, AStep: Single): Single; 
// *** pas de fonction ease *** 
begin 
  Result := AChange * AStep / fDuration + AStart; 
end; 
  
function TMainForm.EaseInQuad(AStart, AChange, AStep: Single): Single; 
// *** INQUAD *** 
begin 
  Result := InPower(AStart, AChange, AStep, 2); 
end; 
  
function TMainForm.EaseOutQuad(AStart, AChange, AStep: Single): Single; 
// *** OUTQUAD *** 
begin 
  Result := OutPower(AStart, AChange, AStep, 2); 
end; 
  
function TMainForm.EaseInOutQuad(AStart, AChange, AStep: Single): Single; 
// *** INOUTQUAD *** 
begin 
  Result := InOutPower(AStart, AChange, AStep, 2); 
end; 
  
function TMainForm.EaseOutInQuad(AStart, AChange, AStep: Single): Single; 
// *** OUTINQUAD *** 
begin 
  if AStep < fDuration / 2 then 
    Result := EaseOutQuad(AStart, AChange / 2, AStep * 2) 
  else 
    Result := EaseInQuad(AStart + AChange / 2, AChange / 2, AStep * 2 - fDuration); 
end; 
  
function TMainForm.EaseInCubic(AStart, AChange, AStep: Single): Single; 
// *** INCUBIC *** 
begin 
  Result := InPower(AStart, AChange, AStep, 3); 
end; 
  
function TMainForm.EaseOutCubic(AStart, AChange, AStep: Single): Single; 
// *** OUTCUBIC *** 
begin 
  Result := OutPower(AStart, AChange, AStep, 3); 
end; 
  
function TMainForm.EaseInOutCubic(AStart, AChange, AStep: Single): Single; 
// *** INOUTCUBIC *** 
begin 
  Result := InOutPower(AStart, AChange, AStep, 3); 
end; 
  
function TMainForm.EaseOutInCubic(AStart, AChange, AStep: Single): Single; 
// *** OUTINCUBIC *** 
begin 
  if AStep < fDuration / 2 then 
    Result := EaseOutCubic(AStart, AChange / 2, AStep * 2) 
  else 
    Result := EaseInCubic(AStart + AChange / 2, AChange / 2, AStep * 2 - fDuration); 
end; 
  
function TMainForm.EaseInQuart(AStart, AChange, AStep: Single): Single; 
// *** INQUART *** 
begin 
  Result := InPower(AStart, AChange, AStep, 4); 
end; 
  
function TMainForm.EaseOutQuart(AStart, AChange, AStep: Single): Single; 
// *** OUTQUART *** 
begin 
  Result := OutPower(AStart, AChange, AStep, 4); 
end; 
  
function TMainForm.EaseInOutQuart(AStart, AChange, AStep: Single): Single; 
// *** INOUTQUART *** 
begin 
  Result := InOutPower(AStart, AChange, AStep, 4); 
end; 
  
function TMainForm.EaseOutInQuart(AStart, AChange, AStep: Single): Single; 
// *** OUTINQUART *** 
begin 
  if AStep < fDuration / 2 then 
    Result := EaseOutQuart(AStart, AChange / 2, AStep * 2) 
  else 
    Result := EaseInQuart(AStart + AChange / 2, AChange / 2, AStep * 2 - fDuration); 
end; 
  
function TMainForm.EaseInQuint(AStart, AChange, AStep: Single): Single; 
// *** INQUINT *** 
begin 
  Result := InPower(AStart, AChange, AStep, 5); 
end; 
  
function TMainForm.EaseOutQuint(AStart, AChange, AStep: Single): Single; 
// *** OUTQUINT *** 
begin 
  Result := OutPower(AStart, AChange, AStep, 5); 
end; 
  
function TMainForm.EaseInOutQuint(AStart, AChange, AStep: Single): Single; 
// *** INOUTQUINT *** 
begin 
  Result := InOutPower(AStart, AChange, AStep, 5); 
end; 
  
function TMainForm.EaseOutInQuint(AStart, AChange, AStep: Single): Single; 
// *** OUTINQUINT *** 
begin 
  if AStep < fDuration / 2 then 
    Result := EaseOutQuint(AStart, AChange / 2, AStep * 2) 
  else 
    Result := EaseInQuint(AStart + AChange / 2, AChange / 2, AStep * 2 - fDuration); 
end; 
  
function TMainForm.EaseInSine(AStart, AChange, AStep: Single): Single; 
// *** INSINE *** 
begin 
  Result := - AChange * cos(AStep / fDuration * Pi / 2) + AChange + AStart; 
end; 
  
function TMainForm.EaseOutSine(AStart, AChange, AStep: Single): Single; 
// *** OUTSINE *** 
begin 
  Result := AChange * sin(AStep / fDuration * Pi / 2) + AStart; 
end; 
  
function TMainForm.EaseInOutSine(AStart, AChange, AStep: Single): Single; 
// *** INOUTSINE *** 
begin 
  Result := - AChange / 2 * (cos(AStep / fDuration * Pi) - 1) + AStart; 
end; 
  
function TMainForm.EaseOutInSine(AStart, AChange, AStep: Single): Single; 
// *** OUTINSINE *** 
begin 
  if AStep < fDuration / 2 then 
    Result := EaseOutSine(AStart, AChange / 2, AStep * 2) 
  else 
    Result := EaseInSine(AStart + AChange / 2, AChange / 2, AStep * 2 - fDuration); 
end; 
  
function TMainForm.EaseInExpo(AStart, AChange, AStep: Single): Single; 
// *** INEXPO *** 
begin 
  Result := ifthen(AStep = 0, AStart, 
    AChange * Power(2, 10 * (AStep / fDuration - 1)) + AStart); 
end; 
  
function TMainForm.EaseOutExpo(AStart, AChange, AStep: Single): Single; 
// *** OUTEXPO *** 
begin 
  Result := ifthen(AStep = fDuration, AChange + AStart, 
    AChange * (- Power(2, -10 * AStep / fDuration) + 1) + AStart); 
end; 
  
function TMainForm.EaseInOutExpo(AStart, AChange, AStep: Single): Single; 
// *** INOUTEXPO *** 
begin 
  if AStep = 0 then 
    Result := AStart 
  else 
  if AStep = fDuration then 
    Result := AChange + AStart 
  else 
  begin 
    AStep := AStep / fDuration * 2; 
    if AStep < 1 then 
      Result := AChange / 2 * Power(2, 10 * (AStep - 1)) + AStart 
    else 
      Result := AChange / 2 * (- Power(2, - 10 * (AStep - 1)) + 2) + AStart; 
  end; 
end; 
  
function TMainForm.EaseOutInExpo(AStart, AChange, AStep: Single): Single; 
// *** OUTINEXPO *** 
begin 
  if AStep < fDuration / 2 then 
    Result := EaseOutExpo(AStart, AChange / 2, AStep * 2) 
  else 
    Result := EaseInExpo(AStart + AChange / 2, AChange / 2, AStep * 2 - fDuration); 
end; 
  
function TMainForm.EaseInCirc(AStart, AChange, AStep: Single): Single; 
// *** INCIRC *** 
begin 
  Result := - AChange * (Sqrt(1 - Power(AStep / fDuration, 2)) - 1) + AStart; 
end; 
  
function TMainForm.EaseOutCirc(AStart, AChange, AStep: Single): Single; 
// *** OUTCIRC *** 
begin 
  Result := AChange * Sqrt(1 - Power(AStep / fDuration - 1, 2)) + AStart; 
end; 
  
function TMainForm.EaseInOutCirc(AStart, AChange, AStep: Single): Single; 
// *** INOUTCIRC *** 
begin 
  AStep := AStep / fDuration * 2; 
  if AStep < 1 then 
    Result := - AChange / 2 * (Sqrt(1 - Power(AStep, 2)) - 1) + AStart 
  else 
    Result := AChange / 2 * (Sqrt(1 - Power(AStep - 2, 2)) + 1) + AStart; 
end; 
  
function TMainForm.EaseOutInCirc(AStart, AChange, AStep: Single): Single; 
// *** OUTINCIRC *** 
begin 
  if AStep < fDuration / 2 then 
    Result := EaseOutCirc(AStart, AChange / 2, AStep * 2) 
  else 
    Result := EaseInCirc(AStart + AChange / 2, AChange / 2, AStep * 2 - fDuration); 
end; 
  
function TMainForm.EaseInElastic(AStart, AChange, AStep: Single): Single; 
// *** INELASTIC *** 
begin 
  if AStep = 0 then 
    Result := AStart 
  else 
  begin 
    AStep := AStep / fDuration; 
    if AStep = 1 then 
      Result := AChange + AStart 
    else 
    begin 
      AStep := AStep - 1; 
      Result := - (AChange * Power(2, 10 * AStep) * sin((AStep * fDuration 
        - (fDuration * 0.3 / 4)) * 2 * Pi / (fDuration * 0.3))) + AStart; 
    end; 
  end; 
end; 
  
function TMainForm.EaseOutElastic(AStart, AChange, AStep: Single): Single; 
// *** OUTELASTIC *** 
begin 
  if AStep = 0 then 
    Result := AStart 
  else 
  begin 
    AStep := AStep / fDuration; 
    if AStep = 1 then 
      Result := AChange + AStart 
    else 
      Result := AChange * Power(2, - 10 * AStep) * sin((AStep * fDuration - 
        (fDuration * 0.3 / 4)) * 2 * Pi / (fDuration * 0.3)) + AChange + AStart; 
   end; 
end; 
  
function TMainForm.EaseInOutElastic(AStart, AChange, AStep: Single): Single; 
// *** INOUTELASTIC *** 
begin 
  if AStep = 0 then 
    Result := AStart 
  else 
  begin 
    AStep := AStep / fDuration * 2; 
    if AStep = 2 then 
      Result := AChange + AStart 
    else 
    begin 
      // 0.45 = 0.3*1.5  0.1125 = 0.45 / 4 
      if AStep < 1 then 
      begin 
        AStep := AStep - 1; 
        Result := - (AChange * Power(2, 10 * AStep) * sin((AStep * fDuration - 
          fDuration * 0.1125) * 2 * Pi / (fDuration * 0.45))) / 2 + AStart; 
      end 
      else 
      begin 
        AStep := AStep - 1; 
        Result :=  AChange * Power(2, - 10 * AStep) * sin((AStep * fDuration - 
          fDuration * 0.1125) * 2 * Pi / (fDuration * 0.45)) / 2 + AChange + AStart; 
      end; 
    end; 
  end; 
end; 
  
function TMainForm.EaseOutInElastic(AStart, AChange, AStep: Single): Single; 
// *** OUTINELASTIC *** 
begin 
  if AStep < fDuration / 2 then 
    Result := EaseOutElastic(AStart, AChange / 2, AStep * 2) 
  else 
    Result := EaseInElastic(AStart + AChange / 2, AChange / 2, AStep * 2 - fDuration); 
end; 
  
function TMainForm.EaseInBack(AStart, AChange, AStep: Single): Single; 
// *** INBACK *** 
begin 
  // 1.70158 = 10% 2.592389 = 20% 3.394051 = 30% 4.15574465 = 40% 
  Result := AChange * Power(AStep / fDuration, 2) * (2.70158 * 
    AStep / fDuration - 1.70158) + AStart; 
end; 
  
function TMainForm.EaseOutBack(AStart, AChange, AStep: Single): Single; 
// *** OUTBACK *** 
begin 
  Result := AChange * (Power(AStep / fDuration - 1, 2) * 
    (2.70158 * (AStep / fDuration - 1) + 1.70158) + 1) + AStart; 
end; 
  
function TMainForm.EaseInOutBack(AStart, AChange, AStep: Single): Single; 
// *** INOUTBACK *** 
begin 
  // 2.5949095 = 1.70158 * 1.525 
  AStep := AStep / fDuration * 2; 
  if AStep < 1 then 
    Result := AChange / 2 * Power(AStep, 2) * (3.594905 * AStep - 2.594905) 
      + AStart 
  else 
    Result := AChange / 2 * (Power(AStep - 2, 2) * (3.594905 * (AStep - 2) 
      + 2.594905) + 2) + AStart; 
end; 
  
function TMainForm.EaseOutInBack(AStart, AChange, AStep: Single): Single; 
// *** OUTINBACK *** 
begin 
  if AStep < fDuration / 2 then 
    Result := EaseOutBack(AStart, AChange / 2, AStep * 2) 
  else 
    Result := EaseInBack(AStart + AChange / 2, AChange / 2, AStep * 2 - fDuration); 
end; 
  
function TMainForm.EaseInOutBounce(AStart, AChange, AStep: Single): Single; 
// *** INOUTBOUNCE *** 
begin 
  if AStep < fDuration / 2 then 
    Result := EaseInBounce(0, AChange, AStep * 2) / 2 + AStart 
  else 
    Result := EaseOutBounce(0, AChange, AStep * 2 - fDuration) / 2 + AChange / 2 
      + AStart; 
end; 
  
function TMainForm.EaseOutInBounce(AStart, AChange, AStep: Single): Single; 
// *** OUTINBOUNCE *** 
begin 
  if AStep < fDuration / 2 then 
    Result := EaseOutBounce(AStart, AChange / 2, AStep * 2) 
  else 
    Result := EaseInBounce(AStart + AChange / 2, AChange / 2, AStep * 2 - fDuration); 
end; 
  
function TMainForm.EaseInBounce(AStart, AChange, AStep: Single): Single; 
// *** INBOUNCE *** 
begin 
  Result := AChange - EaseOutBounce(0, AChange, fDuration - AStep) + AStart; 
end; 
  
function TMainForm.EaseOutBounce(AStart, AChange, AStep: Single): Single; 
// *** OUTBOUNCE *** 
begin 
  AStep := AStep / fDuration; 
  if AStep < 1 / 2.75 then 
    Result := AChange * 7.5625 * Power(AStep, 2) + AStart 
  else 
  if AStep < 2 / 2.75 then 
  begin 
    AStep := AStep - 1.5 / 2.75; 
    Result := AChange * (7.5625 * Power(AStep, 2) + 0.75) + AStart; 
  end 
  else 
  if AStep < 2.5 / 2.75 then 
  begin 
    AStep := AStep - 2.25 / 2.75; 
    Result := AChange * (7.5625 * Power(AStep, 2) + 0.9375) + AStart; 
  end 
  else 
  begin 
    AStep := AStep - 2.625 / 2.75; 
    Result := AChange * (7.5625 * Power(AStep, 2) + 0.984375) + AStart; 
  end; 
end; 
  
function TMainForm.ComputeInterpolation(AStart, AEnd, AStep: Single; 
  AInter: TInterpolation; ABack: Boolean): Single; 
// *** calcul des interpolations *** 
begin 
  case AInter of 
    // linéaire 
    intLinear: Result := EaseNone(AStart, AEnd, AStep); 
    // quadratique 
    intEaseInQuad: Result := EaseInQuad(AStart, AEnd, AStep); 
    intEaseOutQuad: Result := EaseOutQuad(AStart, AEnd, AStep); 
    intEaseInOutQuad: Result := EaseInOutQuad(AStart, AEnd, AStep); 
    intEaseOutInQuad: Result := EaseOutInQuad(AStart, AEnd, AStep); 
    // cubique 
    intEaseInCubic: Result := EaseInCubic(AStart, AEnd, AStep); 
    intEaseOutCubic: Result := EaseOutCubic(AStart, AEnd, AStep); 
    intEaseInOutCubic: Result := EaseInOutCubic(AStart, AEnd, AStep); 
    intEaseOutInCubic: Result := EaseOutInCubic(AStart, AEnd, AStep); 
    // quartique 
    intEaseInQuart: Result := EaseInQuart(AStart, AEnd, AStep); 
    intEaseOutQuart: Result := EaseOutQuart(AStart, AEnd, AStep); 
    intEaseInOutQuart:  Result := EaseInOutQuart(AStart, AEnd, AStep); 
    intEaseOutInQuart: Result := EaseOutInQuart(AStart, AEnd, AStep); 
    // quintique 
    intEaseInQuint: Result := EaseInQuint(AStart, AEnd, AStep); 
    intEaseOutQuint: Result := EaseOutQuint(AStart, AEnd, AStep); 
    intEaseInOutQuint:  Result := EaseInOutQuint(AStart, AEnd, AStep); 
    intEaseOutInQuint: Result := EaseOutInQuint(AStart, AEnd, AStep); 
    // sinus 
    intEaseInSine: Result := EaseInSine(AStart, AEnd, AStep); 
    intEaseOutSine: Result := EaseOutSine(AStart, AEnd, AStep); 
    intEaseInOutSine: Result := EaseInOutSine(AStart, AEnd, AStep); 
    intEaseOutInSine: Result := EaseOutInSine(AStart, AEnd, AStep); 
    // exponentielle 
    intEaseInExpo: Result := EaseInExpo(AStart, AEnd, AStep); 
    intEaseOutExpo: Result := EaseOutExpo(AStart, AEnd, AStep); 
    intEaseInOutExpo: Result := EaseInOutExpo(AStart, AEnd, AStep); 
    intEaseOutInExpo: Result := EaseOutInExpo(AStart, AEnd, AStep); 
    // cercle 
    intEaseInCirc: Result := EaseInCirc(AStart, AEnd, AStep); 
    intEaseOutCirc: Result := EaseOutCirc(AStart, AEnd, AStep); 
    intEaseInOutCirc: Result := EaseInOutCirc(AStart, AEnd, AStep); 
    intEaseOutInCirc: Result := EaseOutInCirc(AStart, AEnd, AStep); 
    // élastique 
    intEaseInElastic: Result := EaseInElastic(AStart, AEnd, AStep); 
    intEaseOutElastic: Result := EaseOutElastic(AStart, AEnd, AStep); 
    intEaseInOutElastic: Result := EaseInOutElastic(AStart, AEnd, AStep); 
    intEaseOutInElastic: Result := EaseOutInElastic(AStart, AEnd, AStep); 
    // retour 
    intEaseInBack: Result := EaseInBack(AStart, AEnd, AStep); 
    intEaseOutBack: Result := EaseOutBack(AStart, AEnd, AStep); 
    intEaseInOutBack: Result := EaseInOutBack(AStart, AEnd, AStep); 
    intEaseOutInBack: Result := EaseOutInBack(AStart, AEnd, AStep); 
    // rebond 
    intEaseInBounce: Result := EaseInBounce(AStart, AEnd, AStep); 
    intEaseOutBounce: Result := EaseOutBounce(AStart, AEnd, AStep); 
    intEaseInOutBounce: Result := EaseInOutBounce(AStart, AEnd, AStep); 
    intEaseOutInBounce: Result := EaseOutInBounce(AStart, AEnd, AStep); 
  end; 
  if ABack then 
    Result := AEnd - Result; 
end; 
  
function TMainForm.ComputeInterpolationInt(AStart, AEnd: Integer; 
  AStep: Integer; AInter: TInterpolation; ABack: Boolean): Integer; 
// *** interpolation entière *** 
begin 
  Result := Round(ComputeInterpolation(AStart, AEnd, AStep, AInter, ABack)); 
end; 
  
end.

Voici une vidéo qui montre l'application en action :

https://youtu.be/4611zBvmA6Q

Vous voici parvenus au bout de votre première exploration des interpolations, et plus spécifiquement des courbes d'easing. L'épisode suivant va formaliser ce travail préparatoire en proposant une série de classes à réutiliser dans vos projets à venir.

Le code source de l'application est ici : [ATTACH]447733d1/a/a/a" />.

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