INTERSECTION OF PAIR OF LINES IN THE ORDER OF THE GIVEN SET OF N LINES

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 Submitted on: 9/7/2015 2:36:59 PM By: Mr SHINE KADANATTU AYYAPPAN Level: Intermediate User Rating: Unrated Compatibility: C, C++ (general) Views: 2200

I have wrote a C/C++ code to find whether a Given point is inside or Outside of the Triangle Formed by Three points .Now I developed this code to Check whether the point is inside or outside of the Polygon of SIDE n. Sir as you know , the General equation of line be An x + Bn y + C n =0 .We can get a set of lines by putting n=1 to n . Then from a set of n lines I found the intersection of pair of lines in the order of lines given.Now I assumes that these set of n lines forms an n side POLYGON in the given order of lines .I formed a Circular Linked List to store the Coefficients of n lines and their intersection . struct COF is the Coefficients Linked list and strcut POINT is the Linked of List intersected points .First I stored the Coefficients in the linked list found the intersection and stored in point array .then I transferred the point array to POINT linked list .I solved the lines using DETERMINANT METHOD by forming 2X2 Matrix .Now an another point is inputted and using POINT linked list I checked whether the Given point is inside or Outside the Polygon . For Sample: Consider a Rectangle formed by four lines x-4=0 coefficients a=1 b=0 c=-4 , y-6=0 coefficients a=0 b=1 c=-6 , x-8=0 coefficients a=1 b=0 c=-8 and y-2=0 coefficients a=0 b=1 c=-2 and by code I got intersection as (4,6) (8,6) (8,2) and (4,2) . Now I checked for the Points (6,4) inside the rectangle (2,4) outside the rectangle and Result is verified .Now You can use this code for further LPP Development

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