76 lines
3.0 KiB
C
76 lines
3.0 KiB
C
// math stuff for graphics, from FreePCB
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#ifndef abs
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#define abs(x) (((x) >=0) ? (x) : (-(x)))
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#endif
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typedef struct PointTag
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{
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double X,Y;
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} PointT;
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typedef struct EllipseTag
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{
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PointT Center; /* ellipse center */
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double xrad, yrad; // radii on x and y
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double theta1, theta2; // start and end angle for arc
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} EllipseKH;
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// math stuff for graphics
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bool Quadratic( double a, double b, double c, double *x1, double *x2 );
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/** function TestLineHit
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* test for hit on line segment i.e. a point within a given distance from segment
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* @param xi,yi and xf,yf = the end-points of the line segment
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* @param dist = maximum distance for hit
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* @param x, y = point to test coords
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* @return true if hit (i.e dist < distance between the point and the segment, false if not.
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*/
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bool TestLineHit( int xi, int yi, int xf, int yf, int x, int y, double dist );
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int FindLineSegmentIntersection( double a, double b, int xi, int yi, int xf, int yf, int style,
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double * x1, double * y1, double * x2, double * y2, double * dist=NULL );
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int FindSegmentIntersections( int xi, int yi, int xf, int yf, int style,
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int xi2, int yi2, int xf2, int yf2, int style2,
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double x[]=NULL, double y[]=NULL );
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bool FindLineEllipseIntersections( double a, double b, double c, double d, double *x1, double *x2 );
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bool FindVerticalLineEllipseIntersections( double a, double b, double x, double *y1, double *y2 );
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/** function TestForIntersectionOfStraightLineSegments
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* Test for intersection of line segments
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* If lines are parallel, returns false
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* If true, returns also intersection coords in x, y
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* if false, returns min. distance in dist (may be 0.0 if parallel)
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* and coords on nearest point in one of the segments in (x,y)
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* @param x1i, y1i, x1f, y1f = integer coordinates of the first segment
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* @param x2i, y2i, x2f, y2f = integer coordinates of the other segment
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* @param x, y = pointers on 2 integer to store the intersection coordinates (can be NULL)
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* @param dist = pointeur on a double to store the dist.
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* @return true if intersect.
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*/
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bool TestForIntersectionOfStraightLineSegments( int x1i, int y1i, int x1f, int y1f,
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int x2i, int y2i, int x2f, int y2f,
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int * x=NULL, int * y=NULL, double * dist=NULL );
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int GetClearanceBetweenSegments( int x1i, int y1i, int x1f, int y1f, int style1, int w1,
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int x2i, int y2i, int x2f, int y2f, int style2, int w2,
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int max_cl, int * x, int * y );
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/** Function GetPointToLineSegmentDistance
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* Get distance between line segment and point
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* @param x,y = point
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* @param xi,yi and xf,yf = the end-points of the line segment
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* @return the distance
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*/
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double GetPointToLineSegmentDistance( int x, int y, int xi, int yi, int xf, int yf );
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double GetPointToLineDistance( double a, double b, int x, int y, double * xp=NULL, double * yp=NULL );
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bool InRange( double x, double xi, double xf );
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double Distance( int x1, int y1, int x2, int y2 );
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int GetArcIntersections( EllipseKH * el1, EllipseKH * el2,
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double * x1=NULL, double * y1=NULL,
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double * x2=NULL, double * y2=NULL );
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