Program | POINT.C, POINT.CPP, POINT.PAS |
A compass is usually thought of as having 4 primary points at North, East, South, and West. These directions correspond to points on a circle, with North at 0 degrees, East at 90 degrees, South at 180 degrees, and West at 270 degrees. There can be many points between the primary points. For example, the point North-East is halfway between North and East, at 45 degrees and East-North-East is halfway between East and North-East at 67.5 degrees.
This plan has been determined to be too restrictive for space travel, so you have been asked to create a more general compass, with anywhere from 3 to 26 primary points.
For example, if a compass were to have 5 points, for simplicity sake, name
them with the first five letters of the alphabet as below:
The point A is oriented with 0 degrees. This means B is at 72 degrees, C is at 144 degrees, D is at 216 degrees, and E is at 288 degrees. At 36 degrees, halfway between A and B, is the compass point AB. At 18 degrees, halfway between A and AB is the compass point AAB. At 54 degrees, halfway between AB and B is the point BAB. To name compass points, follow the example in the chart below for a compass with 4 points and the rules below: -The major compass points are called 1-points. The name of a 1-point is
a single
alphabetic character, where the first 1-point is 'A' (at 0 degrees) and
others are B, C, ... in clockwise order. |