## Introduction

When displaying an object on the display box it can happen that a part of the displayed does not fit in the display box, it lies outside the display box. So, in the course of displaying we are clipping this part. Now, we will be interested in clipping the elements: a point, an abscissa, a text, a polygon. Clipping is in fact a special case of the conjunction of two objects: the display box and the graphics elements.

## Clipping a point in a window

Clipping looks trivial in the case of a dot, we just have to add a few comparisons checking if the coordinates are in the display box range and proceed only if that is the case:

The question is whether a point B with coordinates (mx, my) belongs to the display box or not. Let us take a display box given by coordinates of the lower left corner xmin, ymin and the right upper corner xmax, ymax. The question is whether a point B with coordinates (mx, my) belongs to the display box or not.

The answer is: If it is valid that xmin =< mx  =< xmax and ymin =< my =< ymax , then the point belongs in the display box.

A simple algorithm on testing whether the given point [mx, my] is in the display box [x1, y1], [x2, y2]:
And of course if we are always clipping to a rectangular with a diagonal (0, 0-something_x, something_y) we can do it with just 2 comparisons instead of 4, just making sure x and y passed are considered by unsigned comparisons, (negative numbers after all would be thought of just very large positive numbers).

 if ((mx>=x1)&&(mx==y1)&&(my=

\$\$\$APPLET

Applet Point testing withing the window