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Spinning my wheels

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  • Spinning my wheels

    I need to know the distance a point on the circumference of a wheel travels in one revolution. The following code shows what I'm after clearly, except for that distance.
    Code:
    #PBFORMS CREATED V1.51
    '--------------------------------------------------------------------------------------------------
    ' The first line in this file is a PB/Forms metastatement.
    ' It should ALWAYS be the first line of the file. Other
    ' PB/Forms metastatements are placed at the beginning and
    ' end of "Named Blocks" of code that should be edited
    ' with PBForms only. Do not manually edit or delete these
    ' metastatements or PB/Forms will not be able to reread
    ' the file correctly.  See the PB/Forms documentation for
    ' more information.
    ' Named blocks begin like this:    #PBFORMS BEGIN ...
    ' Named blocks end like this:      #PBFORMS END ...
    ' Other PB/Forms metastatements such as:
    '     #PBFORMS DECLARATIONS
    ' are used by PB/Forms to insert additional code.
    ' Feel free to make changes anywhere else in the file.
    '--------------------------------------------------------------------------------------------------
    
    #COMPILE EXE
    #DIM ALL
    
    '--------------------------------------------------------------------------------------------------
    '   ** Includes **
    '--------------------------------------------------------------------------------------------------
    #PBFORMS BEGIN INCLUDES
    %USEMACROS = 1
    #IF NOT %DEF(%WINAPI)
      #INCLUDE "WIN32API.INC"
    #ENDIF
    #IF NOT %DEF(%COMMCTRL_INC)
      #INCLUDE "COMMCTRL.INC"
    #ENDIF
    #INCLUDE "PBForms.INC"
    #PBFORMS END INCLUDES
    '--------------------------------------------------------------------------------------------------
    
    '--------------------------------------------------------------------------------------------------
    '   ** Constants **
    '--------------------------------------------------------------------------------------------------
    #PBFORMS BEGIN CONSTANTS
    %IDCANCEL     =    2
    %IDD_DIALOG1  =  101
    %IDC_LABEL1   = 1001
    %IDC_LABEL2   = 1002
    %IDC_LABEL3   = 1003
    %IDC_LABEL4   = 1004
    %IDC_GRAPHIC1 = 1005
    %IDC_START    = 1006
    #PBFORMS END CONSTANTS
    '--------------------------------------------------------------------------------------------------
    
    '--------------------------------------------------------------------------------------------------
    '   ** Declarations **
    '--------------------------------------------------------------------------------------------------
    DECLARE CALLBACK FUNCTION ShowDIALOG1Proc()
    DECLARE FUNCTION ShowDIALOG1(BYVAL hParent AS DWORD) AS LONG
    #PBFORMS DECLARATIONS
    '--------------------------------------------------------------------------------------------------
    
    '--------------------------------------------------------------------------------------------------
    '   ** Main Application Entry Point **
    '--------------------------------------------------------------------------------------------------
    FUNCTION PBMAIN()
      PBFormsInitComCtls (%ICC_WIN95_CLASSES OR %ICC_DATE_CLASSES OR %ICC_INTERNET_CLASSES)
    
      ShowDIALOG1 %HWND_DESKTOP
    END FUNCTION
    '--------------------------------------------------------------------------------------------------
    
    '--------------------------------------------------------------------------------------------------
    '   ** CallBacks **
    '--------------------------------------------------------------------------------------------------
    CALLBACK FUNCTION ShowDIALOG1Proc()
    STATIC pi AS DOUBLE
    LOCAL xx,yy,spot AS DOUBLE
    LOCAL count AS LONG
    pi=4*ATN(1)
    
      SELECT CASE AS LONG CBMSG
        CASE %WM_INITDIALOG
          ' Initialization handler
    
        CASE %WM_NCACTIVATE
          STATIC hWndSaveFocus AS DWORD
          IF ISFALSE CBWPARAM THEN
            ' Save control focus
            hWndSaveFocus = GetFocus()
          ELSEIF hWndSaveFocus THEN
            ' Restore control focus
            SetFocus(hWndSaveFocus)
            hWndSaveFocus = 0
          END IF
    
        CASE %WM_COMMAND
          ' Process control notifications
          SELECT CASE AS LONG CBCTL
            CASE %IDC_LABEL1
    
            CASE %IDC_LABEL2
    
            CASE %IDC_LABEL3
    
            CASE %IDC_LABEL4
    
            CASE %IDC_GRAPHIC1
    
            CASE %IDC_START
              IF CBCTLMSG = %BN_CLICKED OR CBCTLMSG = 1 THEN
                
                GRAPHIC ATTACH CBHNDL, %IDC_GRAPHIC1
                GRAPHIC ELLIPSE (11,30)-(111,130), %RED
                GRAPHIC ARC (11,30)-(111,130),0,.5*pi,%BLUE
                spot=6.28
                FOR xx=11 TO 325
                  spot=spot-.02
                  IF xx=325-78 THEN GRAPHIC ELLIPSE (xx,30)-(100+xx,130), %RED:GRAPHIC ARC (xx,30)-(100+xx,130),.5*pi,pi,%BLUE
                  IF xx=325-157 THEN GRAPHIC ELLIPSE (xx,30)-(100+xx,130), %RED:GRAPHIC ARC (xx,30)-(100+xx,130),pi,1.5*pi,%BLUE
                  IF xx=325-235 THEN GRAPHIC ELLIPSE (xx,30)-(100+xx,130), %RED:GRAPHIC ARC (xx,30)-(100+xx,130),1.5*pi,2*pi,%BLUE
                  
                  SLEEP 30
                  'GRAPHIC ELLIPSE (xx,30)-(100+xx,130), %BLACK
                  GRAPHIC ARC (xx,30)-(100+xx,130),spot/pi*pi,yy,%YELLOW
                  GRAPHIC SET PIXEL (xx+50,80),%GREEN
    
                   yy=spot/pi*pi
                NEXT xx
                
                GRAPHIC ELLIPSE (325,30)-(425,130), %RED
                GRAPHIC ARC (325,30)-(425,130),0,.5*pi,%BLUE
                GRAPHIC SET POS (10,5)
                GRAPHIC PRINT "              EAST               SOUTH              WEST               NORTH                EAST"
                GRAPHIC SET POS (60,60)
                GRAPHIC PRINT "A"
                GRAPHIC SET POS (115,60)
                GRAPHIC PRINT "B"
                GRAPHIC SET POS (135,135)
                GRAPHIC PRINT "C"
                GRAPHIC SET POS (155,60)
                GRAPHIC PRINT "D"
                GRAPHIC SET POS (310,60)
                GRAPHIC PRINT "E"
                GRAPHIC SET POS (370,60)
                GRAPHIC PRINT "F"
                GRAPHIC SET POS (430,60)
                GRAPHIC PRINT "G"
                GRAPHIC FONT "MS Sans Serif",12,0
                GRAPHIC SET POS (10,160)
                GRAPHIC PRINT "The green line A-F= circumference of a red/blue circle. Also equal to dist B-G"
                GRAPHIC SET POS (10,185)
                GRAPHIC PRINT "The yellow line BCG marks a point on the circumference of the red circle"
                GRAPHIC SET POS (10,210)
                GRAPHIC PRINT "through the course of one revolution of a wheel (the red/blue circle) and"
                GRAPHIC SET POS (10,235)
                GRAPHIC PRINT "travels along the x axis an amount equal to the circumference of the"
                GRAPHIC SET POS (10,260)
                GRAPHIC PRINT "red/blue circle, and on the y axis two diameters of the circle."
                GRAPHIC SET POS (10,300)
                GRAPHIC PRINT "Is there a formula for the length of the yellow line?"
    
              END IF
    
            CASE %IDCANCEL
              IF CBCTLMSG = %BN_CLICKED OR CBCTLMSG = 1 THEN
                DIALOG END CBHNDL, 0
              END IF
    
          END SELECT
      END SELECT
    END FUNCTION
    '--------------------------------------------------------------------------------------------------
    
    '--------------------------------------------------------------------------------------------------
    '   ** Dialogs **
    '--------------------------------------------------------------------------------------------------
    FUNCTION ShowDIALOG1(BYVAL hParent AS DWORD) AS LONG
      LOCAL lRslt  AS LONG
    
    #PBFORMS BEGIN DIALOG %IDD_DIALOG1->->
      LOCAL hDlg   AS DWORD
      LOCAL hFont1 AS DWORD
      LOCAL hFont2 AS DWORD
    
      DIALOG NEW PIXELS, hParent, "WHEEL", 105, 114, 645, 681, %WS_POPUP OR %WS_BORDER OR _
        %WS_DLGFRAME OR %WS_SYSMENU OR %WS_MINIMIZEBOX OR %WS_CLIPSIBLINGS OR %WS_VISIBLE OR _
        %DS_ABSALIGN OR %DS_MODALFRAME OR %DS_3DLOOK OR %DS_NOFAILCREATE OR %DS_SETFONT, _
        %WS_EX_CONTROLPARENT OR %WS_EX_LEFT OR %WS_EX_LTRREADING OR %WS_EX_RIGHTSCROLLBAR, TO hDlg
      DIALOG  SET COLOR    hDlg, -1, RGB(208, 153, 253)
      CONTROL ADD LABEL,   hDlg, %IDC_LABEL1, "", 8, 8, 630, 8
      CONTROL SET COLOR    hDlg, %IDC_LABEL1, -1, RGB(128, 0, 128)
      CONTROL ADD LABEL,   hDlg, %IDC_LABEL2, "", 8, 16, 7, 618
      CONTROL SET COLOR    hDlg, %IDC_LABEL2, -1, RGB(128, 0, 128)
      CONTROL ADD LABEL,   hDlg, %IDC_LABEL3, "", 8, 634, 630, 8
      CONTROL SET COLOR    hDlg, %IDC_LABEL3, -1, RGB(128, 0, 128)
      CONTROL ADD LABEL,   hDlg, %IDC_LABEL4, "", 630, 16, 8, 618
      CONTROL SET COLOR    hDlg, %IDC_LABEL4, -1, RGB(128, 0, 128)
      CONTROL ADD GRAPHIC, hDlg, %IDC_GRAPHIC1, "", 15, 16, 615, 618
      GRAPHIC ATTACH hDlg, %IDC_GRAPHIC1
      GRAPHIC COLOR %WHITE, %BLACK
      GRAPHIC CLEAR
      CONTROL ADD BUTTON,  hDlg, %IDC_START, "START", 112, 650, 76, 24
      CONTROL ADD BUTTON,  hDlg, %IDCANCEL, "EXIT", 390, 650, 75, 24
    
      hFont1 = PBFormsMakeFont("Kristen ITC", 10, 400, %FALSE, %FALSE, %FALSE, %ANSI_CHARSET)
      hFont2 = PBFormsMakeFont("Arial", 10, 400, %FALSE, %FALSE, %FALSE, %ANSI_CHARSET)
    
      CONTROL SEND hDlg, %IDC_LABEL1, %WM_SETFONT, hFont1, 0
      CONTROL SEND hDlg, %IDC_LABEL2, %WM_SETFONT, hFont1, 0
      CONTROL SEND hDlg, %IDC_LABEL3, %WM_SETFONT, hFont1, 0
      CONTROL SEND hDlg, %IDC_LABEL4, %WM_SETFONT, hFont1, 0
      CONTROL SEND hDlg, %IDC_GRAPHIC1, %WM_SETFONT, hFont1, 0
      CONTROL SEND hDlg, %IDC_START, %WM_SETFONT, hFont2, 0
      CONTROL SEND hDlg, %IDCANCEL, %WM_SETFONT, hFont2, 0
    #PBFORMS END DIALOG
    
      DIALOG SHOW MODAL hDlg, CALL ShowDIALOG1Proc TO lRslt
    
    #PBFORMS BEGIN CLEANUP %IDD_DIALOG1
      DeleteObject hFont1
      DeleteObject hFont2
    #PBFORMS END CLEANUP
    
      FUNCTION = lRslt
    END FUNCTION
    '--------------------------------------------------------------------------------------------------
    Rod
    In some future era, dark matter and dark energy will only be found in Astronomy's Dark Ages.

  • #2
    The yellow line is a cycloid. I'll have a look ...

    Kind regards
    Last edited by Eddy Van Esch; 3 Apr 2008, 07:43 AM.
    Eddy

    Comment


    • #3
      On http://mathworld.wolfram.com/Cycloid.html
      you can find the formula for a cycloids arc length : equation (5).

      Nice animation with parameters to play with here:


      Kind regards
      Eddy

      Comment


      • #4
        Thank you! I'll have a look.

        Rod
        Rod
        In some future era, dark matter and dark energy will only be found in Astronomy's Dark Ages.

        Comment

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