[Home] [Puzzles & Projects] [Delphi Techniques] [Math topics] [Library] [Utilities]
|
|
Problem DescriptionWe need a graphics program which will draw a square around a given circle and allow the user to rotate the square to any angle he/she chooses. That's it. Background and TechniquesThis program came about because I was having a terrible time elevating the cannon in the cannonball program. After going back to basics and writing this program, the cannon elevation problem was a snap. The overall plan of the program is to calculate the position of the four corners of the square each time the user changes the angle. An OnChange exit from the trackbar calls a MakeBox procedure to recalculate the 4 corners for the new angle. MakeBox ends with an Invalidate call to tell windows that it needs to redraw something whenever it gets a chance. An OnPaint event exit is used to actually draw the 4 lines that make up the sides of the square. We must do it in an OnPaint exit, otherwise the square would disappear whenever the screen was redrawn. Two functions, Rotate and Translate, do the rotation of points. Rotation about an origin point of (0,0) is straightforward as you'll see from the code. Once we have the point rotated to the desired angle relative to then origin, Translate can move the point by adding the new x and y origin coordinates to the x and y values of the point. The trig required to derive the rotation equations is straightforward if you assume that the original angle of the point from the origin is A and we want to rotate by B degrees, then the new angle from the origin is A+B. Then, remembering good old Indian chief "Soh Cah Toa" (Sin=Opposite/Hypotenuse, etc.), and looking up the identities for sin(A+B) and cos(A+B), the rest is easy. Running/Exploring the ProgramSuggestions for Further Study
|
[Feedback] [Newsletters (subscribe/view)] [About me]Copyright © 2000-2018, Gary Darby All rights reserved. |