MathgeomGLS

1
unit fIntegrateX;
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interface
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5
uses
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  Winapi.Windows,
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  Winapi.Messages,
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  System.SysUtils,
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  System.Variants,
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  System.Classes,
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  System.Math,
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  Vcl.Graphics,
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  Vcl.Controls,
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  Vcl.Forms,
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  Vcl.Dialogs,
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  Vcl.StdCtrls,
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  Vcl.Buttons,
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  Vcl.ComCtrls,
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  Vcl.Menus,
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  Vcl.ExtCtrls;
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type
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  TIntegrateXForm = class(TForm)
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    Label3: TLabel;
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    Label1: TLabel;
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    Label4: TLabel;
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    MinIntegXLabel: TLabel;
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    Label6: TLabel;
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    ColorButton: TSpeedButton;
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    Label5: TLabel;
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    AreaLabel: TLabel;
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    Label7: TLabel;
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    PositiveButton: TSpeedButton;
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    NegativeButton: TSpeedButton;
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    MaxIntegXLabel: TLabel;
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    NegAreaLabel: TLabel;
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    PosAreaLabel: TLabel;
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    MinIntegYLabel: TLabel;
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    MaxIntegYLabel: TLabel;
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    TotalAreaLabel: TLabel;
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    CentreButton: TSpeedButton;
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    EditIntegMin: TEdit;
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    EditIntegMax: TEdit;
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    EditCount: TEdit;
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    UpDown1: TUpDown;
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    RecalcBtn: TBitBtn;
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    CloseBtn: TBitBtn;
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    EditPenWidth: TEdit;
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    UpDown2: TUpDown;
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    EditConst: TEdit;
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    IntegCheckBox: TCheckBox;
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    ShadeCheckBox: TCheckBox;
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    EditOpacity: TEdit;
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    UpDown3: TUpDown;
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    ColorDialog: TColorDialog;
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    Label2: TLabel;
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    KeepRangeCheckBox: TCheckBox;
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    ColorPanel: TPanel;
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    NegativePanel: TPanel;
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    PositivePanel: TPanel;
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    SumAreaLabel: TLabel;
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    procedure FormShow(Sender: TObject);
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    procedure FormActivate(Sender: TObject);
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    procedure FormKeyPress(Sender: TObject; var Key: Char);
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    procedure FormDeactivate(Sender: TObject);
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    procedure ParseKeyPress(Sender: TObject; var Key: Char);
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    procedure IntKeyPress(Sender: TObject; var Key: Char);
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    procedure EditIntegMinKeyUp(Sender: TObject; var Key: Word;
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                                 Shift: TShiftState);
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    procedure EditIntegMaxKeyUp(Sender: TObject; var Key: Word;
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                                 Shift: TShiftState);
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    procedure EditCountKeyUp(Sender: TObject; var Key: Word;
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                              Shift: TShiftState);
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    procedure EditConstKeyUp(Sender: TObject; var Key: Word;
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                              Shift: TShiftState);
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    procedure EditPenWidthKeyUp(Sender: TObject; var Key: Word;
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                                 Shift: TShiftState);
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    procedure EditOpacityKeyUp(Sender: TObject; var Key: Word;
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                                Shift: TShiftState);
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    procedure EditCountExit(Sender: TObject);
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    procedure UpDown1Click(Sender: TObject; Button: TUDBtnType);
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    procedure UpDown2Click(Sender: TObject; Button: TUDBtnType);
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    procedure UpDown3Click(Sender: TObject; Button: TUDBtnType);
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    procedure UpDown1MouseUp(Sender: TObject; Button: TMouseButton;
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                              Shift: TShiftState; X, Y: Integer);
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    procedure CheckBoxClick(Sender: TObject);
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    procedure CentreButtonClick(Sender: TObject);
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    procedure ColorButtonClick(Sender: TObject);
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    procedure PositiveButtonClick(Sender: TObject);
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    procedure NegativeButtonClick(Sender: TObject);
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    procedure RecalcBtnClick(Sender: TObject);
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    procedure CloseBtnClick(Sender: TObject);
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    procedure IntegLabelClick(Sender: TObject);
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    procedure KeepRangeCheckBoxClick(Sender: TObject);
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  private
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    procedure UpdateRangeData;
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  public
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    PlotIntegrated: byte; { piCalc = 0; piShow = 1; piArea = 2; piBoth = 3 }
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    procedure ShowData;
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  end;
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var
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  IntegrateXForm: TIntegrateXForm;
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//======================================================================
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implementation
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//======================================================================
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uses
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  uParser,
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  uGlobal,
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  fFuncts,
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  fPlot1D,
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  Clipbrd;
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{$R *.dfm}
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procedure TIntegrateXForm.FormShow(Sender: TObject);
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begin
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  KeepRangeCheckBox.Checked := KeepRange;
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  ShowData;
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end;
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procedure TIntegrateXForm.FormActivate(Sender: TObject);
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begin
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  EditIntegMin.SetFocus;
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  EditIntegMin.SelText;
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end;
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procedure TIntegrateXForm.FormKeyPress(Sender: TObject; var Key: Char);
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begin
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  case Key of
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#13:begin
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      RecalcBtnClick(Sender);
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      Key := #0;
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    end;
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#27:begin
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      Key := #0;
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      Close;
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    end;
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  end;
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end;
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procedure TIntegrateXForm.FormDeactivate(Sender: TObject);
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begin
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  if KeepRange then UpdateRangeData;
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end;
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procedure TIntegrateXForm.ParseKeyPress(Sender: TObject; var Key: Char);
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begin
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  with Sender as TEdit do
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  begin
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    if not CharInSet(UpCase(Key),
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   [' ', '!', '(', ')', '*', '+', '-', '.', ',', '/', '0'..'9',
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    'A'..'C', 'E', 'G'..'I', 'L', 'N'..'T', 'X', '^', '`', #8]) then
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    begin
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      Key := #0;
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      Exit;
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    end;
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    if Key = '`' then Key := '�';
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  end;
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end;
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procedure TIntegrateXForm.IntKeyPress(Sender: TObject; var Key: Char);
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begin
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  with Sender as TEdit do
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  if not CharInSet(Key, ['0'..'9', #8]) then Key := #0
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end;
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procedure TIntegrateXForm.EditIntegMinKeyUp(Sender: TObject; var Key: Word;
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                                             Shift: TShiftState);
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var
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  s: string;
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  e: byte;
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begin
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  s := ScanText(EditIntegMin.Text);
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  IntegMin := ParseAndEvaluate(s, e);
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//if isNAN(IntegMin) then IntegMin := 0;
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//if e > 0 then IntegMin := 0;
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  if isNAN(IntegMin) or isInfinite(IntegMin) or (e > 0) then IntegMin := 0;
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end;
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procedure TIntegrateXForm.EditIntegMaxKeyUp(Sender: TObject; var Key: Word;
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                                             Shift: TShiftState);
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var
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  s: string;
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  e: byte;
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begin
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  s := ScanText(EditIntegMax.Text);
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  IntegMax := ParseAndEvaluate(s, e);
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//  if isNAN(IntegMax) then IntegMax := 0;
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//  if e > 0 then IntegMax := 0;
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  if isNAN(IntegMax) or isInfinite(IntegMax) or (e > 0) then IntegMax := 0;
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end;
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procedure TIntegrateXForm.EditCountKeyUp(Sender: TObject; var Key: Word;
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                                          Shift: TShiftState);
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begin
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  with GraphData do
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  begin
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    try
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      IntegCount := StrToInt(EditCount.Text);
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      if IntegCount = 0 then IntegCount := IntegCountPos;
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    except
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      IntegCount := IntegCountPos;
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    end;
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    if IntegCount > IntegCountMax then IntegCount := IntegCountMax;
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  end;
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  Altered := true;
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end;
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procedure TIntegrateXForm.EditConstKeyUp(Sender: TObject; var Key: Word;
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                                          Shift: TShiftState);
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begin
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  try
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    IntegConst := StrToFloat(EditConst.Text);
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  except
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    IntegConst := 0;
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  end;
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end;
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procedure TIntegrateXForm.EditPenWidthKeyUp(Sender: TObject; var Key: Word;
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                                             Shift: TShiftState);
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begin
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  try
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    GraphData.ydxWidth := StrToInt(EditPenWidth.Text);
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    if Graphdata.ydxWidth = 0 then GraphData.ydxWidth := 1;
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  except
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    GraphData.ydxWidth := 1;
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  end;
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  Altered := true;
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  MainForm.GLViewer.Invalidate;
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end;
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procedure TIntegrateXForm.EditOpacityKeyUp(Sender: TObject; var Key: Word;
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                                            Shift: TShiftState);
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var
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  n: integer;
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begin
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  try
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    n := StrToInt(EditOpacity.Text);
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  except
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    n := 1;
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  end;
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  GraphData.AreaAlpha := n/100;
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  Altered := true;
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  MainForm.GLViewer.Invalidate;
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end;
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procedure TIntegrateXForm.EditCountExit(Sender: TObject);
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begin
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  EditCount.Text := IntToStr(GraphData.IntegCount);
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end;
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procedure TIntegrateXForm.UpDown1Click(Sender: TObject; Button: TUDBtnType);
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var
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  k: word;
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begin
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  k := 0;
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  EditCountKeyUp(Sender, k, []);
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end;
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procedure TIntegrateXForm.UpDown2Click(Sender: TObject; Button: TUDBtnType);
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var
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  k: word;
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begin
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  k := 0;
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  EditPenWidthKeyUp(Sender, k, []);
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end;
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procedure TIntegrateXForm.UpDown3Click(Sender: TObject; Button: TUDBtnType);
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var
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  k: word;
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begin
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  k := 0;
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  EditOpacityKeyUp(Sender, k, []);
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end;
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procedure TIntegrateXForm.UpDown1MouseUp(Sender: TObject; Button: TMouseButton;
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                                          Shift: TShiftState; X, Y: Integer);
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begin
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  RecalcBtnClick(Sender);
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end;
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procedure TIntegrateXForm.CheckBoxClick(Sender: TObject);
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begin
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  with Sender as TCheckBox do
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  if Checked then
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  begin  { tag = piShow for IntegCheckBox; piArea for ShadeCheckBox }
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    if not Ord(PlotIntegrated) and Tag = Tag
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    then Inc(PlotIntegrated, Tag);  { now selected }
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  end
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  else
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  if Ord(PlotIntegrated) and Tag = Tag
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  then Dec(PlotIntegrated, Tag);  { now de-selected }
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  RecalcBtnClick(Sender);
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end;
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procedure TIntegrateXForm.CentreButtonClick(Sender: TObject);
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var
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  y1, y2: extended;
313

314
begin
315
  y1 := StrToFloat(Copy(MinIntegYLabel.Caption,
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                   pos('=', MinIntegYLabel.Caption)+2,
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                     Length(MinIntegYLabel.Caption)));
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  y2 := StrToFloat(Copy(MaxIntegYLabel.Caption,
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                   pos('=', MaxIntegYLabel.Caption)+2,
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                     Length(MaxIntegYLabel.Caption)));
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  IntegConst := IntegConst-(y1 + y2)/2;
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  EditConst.Text := FloatToStr(IntegConst);
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  RecalcBtnclick(Sender);
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end;
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procedure TIntegrateXForm.ColorButtonClick(Sender: TObject);
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begin
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  ColorDialog.Color := GraphData.ydxColor;
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  if ColorDialog.Execute then
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  begin
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    GraphData.ydxColor := ColorDialog.Color;
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    ColorPanel.Color := GraphData.ydxColor;
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    MainForm.GLViewer.Invalidate;
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    Altered := TRUE
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  end;
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end;
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procedure TIntegrateXForm.PositiveButtonClick(Sender: TObject);
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begin
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  ColorDialog.Color := GraphData.PosAreaColor;
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  if ColorDialog.Execute then
342
  begin
343
    GraphData.PosAreaColor := ColorDialog.Color;
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    PositivePanel.Color := GraphData.PosAreaColor;
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    MainForm.GLViewer.Invalidate;
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    Altered := TRUE
347
  end;
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end;
349

350
procedure TIntegrateXForm.NegativeButtonClick(Sender: TObject);
351
begin
352
  ColorDialog.Color := GraphData.NegAreaColor;
353
  if ColorDialog.Execute then
354
  begin
355
    GraphData.NegAreaColor := ColorDialog.Color;
356
    NegativePanel.Color := GraphData.NegAreaColor;
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    MainForm.GLViewer.Invalidate;
358
    Altered := TRUE
359
  end;
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end;
361

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procedure TIntegrateXForm.RecalcBtnClick(Sender: TObject);
363
begin
364
  MainForm.GLViewer.Invalidate;
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end;
366

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procedure TIntegrateXForm.IntegLabelClick(Sender: TObject);
368
begin
369
  Clipboard.Clear;
370
  with Sender as TLabel do
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  Clipboard.AsText := Copy(Caption,  pos('=', Caption)+2, Length(Caption));
372
end;
373

374
procedure TIntegrateXForm.KeepRangeCheckBoxClick(Sender: TObject);
375
begin
376
  KeepRange := KeepRangeCheckBox.Checked;
377
end;
378

379
procedure TIntegrateXForm.CloseBtnClick(Sender: TObject);
380
begin
381
  Close;
382
end;
383

384
procedure TIntegrateXForm.UpdateRangeData;
385
begin
386
  KeptMin := IntegMin;
387
  KeptMax := IntegMax;
388
end;
389

390
procedure TIntegrateXForm.ShowData;
391
begin
392
  with GraphData, PlotData do
393
  begin
394
    EditCount.Text := IntToStr(IntegCount);
395
    UpDown2.Position := ydxWidth;
396
    UpDown3.Position := round(AreaAlpha*100);
397
    KeepRangeCheckBox.Checked := KeepRange;
398
    ColorPanel.Color := ydxColor;
399
    PositivePanel.Color := PosAreaColor;
400
    NegativePanel.Color := NegAreaColor;
401

402
    if PlotAsFx then
403
    begin
404
      if TextStr = '' then Caption := '' else Caption := 'y = '+TextStr;
405
      if IsSegment then
406
      begin
407
        if KeepRange then
408
        begin
409
          IntegMin := KeptMin;
410
          IntegMax := KeptMax;
411
        end
412
        else
413
        begin
414
          IntegMin := SegMin;
415
          IntegMax := SegMax;
416
        end;
417
      end
418
      else
419
      begin
420
        if KeepRange then
421
        begin
422
          IntegMin := KeptMin;
423
          IntegMax := KeptMax;
424
        end
425
        else
426
        begin
427
          IntegMin := xMin;
428
          IntegMax := xMax;
429
        end;
430
      end;
431

432
      Label1.Caption := 'where  a = x1';
433
      Label2.Caption := 'and  b = x2';
434
      Label5.Caption := 'Integral y at a = x1:';
435
      CentreButton.Caption := 'Centre to x a&xis';
436
    end
437
    else
438
    begin
439
      Caption := 'r = '+TextStr;
440
      if KeepRange then
441
      begin
442
        IntegMin := KeptMin;
443
        IntegMax := KeptMax;
444
      end
445
      else
446
      begin
447
        IntegMin := SegMin;
448
        IntegMax := SegMax;
449
      end;
450
      Label1.Caption := 'For a = �1';
451
      Label2.Caption := 'b = �2  (radians)';
452
      Label5.Caption := 'Integral r at (a = �1):';
453
      CentreButton.Caption := 'Centre to x a&xis';
454
    end;
455
  end;
456
  EditIntegMin.Text := FloatToStrF(IntegMin, ffGeneral, 13, 4);
457
  EditIntegMax.Text := FloatToStrF(IntegMax, ffGeneral, 13, 4);
458
  EditConst.Text := FloatToStrF(IntegConst, ffGeneral, 13, 4);
459
end;
460

461
end.
462