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bugfix in csg2d
handle degenerate quadratic equation in intersection of spline and segment correctly
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@ -250,13 +250,20 @@ IntersectionType IntersectSplineSegment( const Spline & s, const Point<2> & r0,
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double det = b_*b_ - 4*a_*c_;
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if(det<0.0)
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return NO_INTERSECTION;
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double t;
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if(fabs(a_)>EPSILON)
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{
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double sqrt_det = sqrt(det);
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double t1 = 1.0/(2*a_) * (-b_ + sqrt_det);
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double t2 = 1.0/(2*a_) * (-b_ - sqrt_det);
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double t = min(t1,t2);
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t = min(t1, t2);
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if(t<alpha)
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t = max(t1,t2);
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}
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else // degenerate quadratic equation
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t = -c_/b_;
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if(t+EPSILON<alpha)
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return NO_INTERSECTION;
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@ -288,10 +295,17 @@ IntersectionType IntersectSplineSegment1( const Spline & s, const Point<2> & r0,
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double det = b_*b_ - 4*a_*c_;
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if(det<0.0)
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return NO_INTERSECTION;
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double sqrt_det = sqrt(det);
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double vbeta[2];
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if(fabs(a_)>EPSILON)
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{
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vbeta[0] = 1.0/(2*a_) * (-b_ + sqrt_det);
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vbeta[1] = 1.0/(2*a_) * (-b_ - sqrt_det);
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}
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else // degenrate quadratic equation
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vbeta[0] = vbeta[1] = -c_/b_;
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int dim = fabs(vr[0]) > fabs(vr[1]) ? 0 : 1;
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double valpha[2];
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