The problem of finding the Quadrant, by the way
what is Quardrant so the answer is here "One of the four sections made by dividing
an area with two perpendicular lines; The four regions of the Cartesian plane
bounded by the x-axis and y-axis" in
which a given co-ordinate position(x,y) lies is a Computer Graphics problem. In
a Cartesian system if both X and Y co-ordinates are positive then it is said to
be First Quadrant of the Cartesian plane.One
fourth of a circle or disc; a sector with an angle of 90°, A measuring
device with a graduated arc of 90° used in locating an altitude and If
X and Y are both negative then it said to be Third Quadrant of the Cartesian
plane. If X is negative and Y is positive then it is said to be Second Quadrant
and in case if X is positive and Y is negative then it said to be in the Fourth
Quadrant of the Cartesian plane. The Diagram of the Cartesian plane is given in
Fig. 3.1 below to make facts more clearer.
The co-ordinate positions thus entered have to
fall in either of those Quadrant based on the sign of the X and Y co-ordinate
positions.
Algorithm : Quadrant_Finder
Input : x, X co-ordinate
y, Y
co-ordinate
Output : Corresponding Co-ordinate
Method
If( x >=0)
If(y>=0)
Display 'I -Quadrant'
Else
Display
'IV-Quadrant'
end_if
else
If(y>=0)
Display 'II- Quadrant'
Else
Display
'III-Quadrant'
end_if
end_if
Algorithm ends
Summary
I hope this article help you to clear your
concept of designing algorithms for the problems has been presented.