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25 changes: 25 additions & 0 deletions algorithms/computational-geometry/2d-line-intersection.cpp
Original file line number Diff line number Diff line change
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#include <vector>

// Equation of 2D line is in form ax +by +c =0
std::vector<float> line_intersection_2d(float a1, float b1, float c1,
float a2, float b2, float c2, float slopeTol = 0.01)
{
std::vector<float> intersectonPt;

float slopeDiff = ((a1/b1)-(a2/b2));
if(slopeDiff<0)
{
slopeDiff *=-1;
}
//Checking if lines are parallel
if(slopeDiff < slopeTol )
{
//if parallel, return empty vector
return intersectonPt;
}
float x = (b1*c2-b2*c1)/(a1*b2-a2*b1);
float y = (c1*a2-c2*a1)/(a1*b2-a2*b1);
intersectonPt.push_back(x);
intersectonPt.push_back(y);
return intersectonPt;
}