#ifndef MATH_FOR_GRAPHICS_H #define MATH_FOR_GRAPHICS_H // math stuff for graphics, from FreePCB /* Function FindLineSegmentIntersection * find intersection between line y = a + bx and line segment (xi,yi) to (xf,yf) * if b > DBL_MAX/10, assume vertical line at x = a * return false if no intersection or true if intersect * return coords of intersections in *x1, *y1, *x2, *y2 * if no intersection, returns min distance in dist */ bool FindLineSegmentIntersection( double a, double b, int xi, int yi, int xf, int yf, double * x1, double * y1, double * x2, double * y2, double * dist=NULL ); /* Function FindSegmentIntersections * find intersections between line segment (xi,yi) to (xf,yf) * and line segment (xi2,yi2) to (xf2,yf2) * returns true if intersection found */ bool FindSegmentIntersections( int xi, int yi, int xf, int yf, int xi2, int yi2, int xf2, int yf2 ); /** * Function TestForIntersectionOfStraightLineSegments * Test for intersection of line segments * If lines are parallel, returns false * If true, returns also intersection coords in x, y * if false, returns min. distance in dist (may be 0.0 if parallel) * and coords on nearest point in one of the segments in (x,y) * @param x1i, y1i, x1f, y1f = integer coordinates of the first segment * @param x2i, y2i, x2f, y2f = integer coordinates of the other segment * @param x, y = pointers on 2 integer to store the intersection coordinates (can be NULL) * @param dist = pointeur on a double to store the dist. * @return true if intersect. */ bool TestForIntersectionOfStraightLineSegments( int x1i, int y1i, int x1f, int y1f, int x2i, int y2i, int x2f, int y2f, int * x=NULL, int * y=NULL, double * dist=NULL ); /* Function GetClearanceBetweenSegments * Get clearance between 2 segments * Returns coordinates of the closest point between these 2 segments in x, y * If clearance > max_cl, just returns max_cl+1 and doesn't return x,y */ int GetClearanceBetweenSegments( int x1i, int y1i, int x1f, int y1f, int w1, int x2i, int y2i, int x2f, int y2f, int w2, int max_cl, int * x, int * y ); /** * Function GetPointToLineSegmentDistance * Get distance between line segment and point * @param x,y = point * @param xi,yi, xf,yf = the end-points of the line segment * @return the distance */ double GetPointToLineSegmentDistance( int x, int y, int xi, int yi, int xf, int yf ); /* Function GetPointToLineDistance * Get min. distance from (x,y) to line y = a + bx * if b > DBL_MAX/10, assume vertical line at x = a * returns closest point on line in xpp, ypp */ double GetPointToLineDistance( double a, double b, int x, int y, double * xp=NULL, double * yp=NULL ); inline double Distance( double x1, double y1, double x2, double y2 ) { return hypot( x1 - x2, y1 - y2 ); } #endif