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### Problem Description

An exercise to draw doors subdivided with  one or more vertical frames separated and divided by mullions of a given size.

### Background & Techniques

This program was the result of a request from a Delphi programmer who was faced with this problem in the course of developing a piece of software for their business.   It was a mildly challenging exercise just to prove that it still could be done by this 77 year old programmer.    Haven't lost it yet!

The five Input values are:  1) Door Width, 2) Door Height, 3) Number of frames in the door, 4) Width of Mullions, and 5) Height  above door bottom to the top of cross-mullion within each frame.

### Programmer's Notes:

"Rectangle" was the only TCanvas method used in drawing a door. The problems included:

Calculating frame width: FrameWidth = DoorWidth - MullionWidth x (NbrFrames + 1)) / Number of Panels.
Calculating frame Left/Top corner Nth frame (L, T).  L=MullionWidth + (N-1) x (FrameWiidth --MullionWindth); T = Dootop + MullionWidth
Calculating frame rectangle relative to passed (L,T) value:
 Lower panel Top/Left corner (PL,Pt):  PL= L;  PT = Doorheight - MullionHeightAboveBase + MullionWidth. Lower panel Height frames: Panelheight = MullionHeightAboveBase - 2 x MullionWidth. Top/Left corner of the top panel within frames (PL,PT):  PL = L; PT = T. Height of the top panel within frames:  PanelHeight = Doorheight - MullionHeightAboveBase.
Scaling the calculated values to display centered in the TImage canvas:   Converting from millimeters (or any other unit) to pixels requires multiplying by a pixels/unit scaling factor.   Here we'll calculate two candidates; one for width and one for height and take the smaller value as the one to use.  I chose to make the top left  corner of the door image at 10% from the left and from the top of the TImage  and occupy 80% of the height and /or width.  So ScaleX = 0.8 x Timage width / Doorwidth; ScaleY = 0.8 x TImage.Height / DoorHeight, and Scale = min(scalex, scaley).   Scaled  versions of the dimensional parameters described above are  used for drawing the rectangles.