/**
* Returns the intersecting area of @c rectangleA and @c rectangleB.
*
* Edges that touch (but don't overlap) are not considered to be overlapping.
*
* If the rectangles do not intersect, returns rectangle @c {{0,0},{0,0}}.
*/
VuoRectangle VuoPoint2d_rectangleIntersection(VuoRectangle rectangleA, VuoRectangle rectangleB)
{
float rectangleALeft = rectangleA.center.x - rectangleA.size.x/2.;
float rectangleARight = rectangleA.center.x + rectangleA.size.x/2.;
float rectangleABottom = rectangleA.center.y - rectangleA.size.y/2.;
float rectangleATop = rectangleA.center.y + rectangleA.size.y/2.;
float rectangleBLeft = rectangleB.center.x - rectangleB.size.x/2.;
float rectangleBRight = rectangleB.center.x + rectangleB.size.x/2.;
float rectangleBBottom = rectangleB.center.y - rectangleB.size.y/2.;
float rectangleBTop = rectangleB.center.y + rectangleB.size.y/2.;
float tolerance = 0.00001;
if ( rectangleARight < rectangleBLeft + tolerance
|| rectangleBRight < rectangleALeft + tolerance
|| rectangleATop < rectangleBBottom + tolerance
|| rectangleBTop < rectangleABottom + tolerance)
return VuoRectangle_make(0,0,0,0);
else
{
float intersectionLeft = MAX(rectangleALeft, rectangleBLeft);
float intersectionRight = MIN(rectangleARight, rectangleBRight);
float intersectionBottom = MAX(rectangleABottom, rectangleBBottom);
float intersectionTop = MIN(rectangleATop, rectangleBTop);
return VuoRectangle_make(
(intersectionLeft + intersectionRight)/2.,
(intersectionBottom + intersectionTop)/2.,
intersectionRight - intersectionLeft,
intersectionTop - intersectionBottom);
}
}
/**
* Transforms @c rectangle using @c matrix (a column-major matrix of 16 values), and returns the new rectangle.
*
* If the matrix specifies a rotation, this function returns an axis-aligned rectangle fully enclosing the source rectangle.
*
* @see VuoTransform_getMatrix
*/
VuoRectangle VuoTransform_transformRectangle(const float *matrix, VuoRectangle rectangle)
{
VuoReal left = rectangle.center.x - rectangle.size.x/2.;
VuoReal right = rectangle.center.x + rectangle.size.x/2.;
VuoReal bottom = rectangle.center.y - rectangle.size.y/2.;
VuoReal top = rectangle.center.y + rectangle.size.y/2.;
VuoPoint3d topLeft = VuoTransform_transformPoint(matrix, VuoPoint3d_make(left, top, 0.));
VuoPoint3d topRight = VuoTransform_transformPoint(matrix, VuoPoint3d_make(right, top, 0.));
VuoPoint3d bottomLeft = VuoTransform_transformPoint(matrix, VuoPoint3d_make(left, bottom, 0.));
VuoPoint3d bottomRight = VuoTransform_transformPoint(matrix, VuoPoint3d_make(right, bottom, 0.));
VuoReal transformedLeft = MIN(MIN(MIN(topLeft.x, topRight.x), bottomLeft.x), bottomRight.x);
VuoReal transformedRight = MAX(MAX(MAX(topLeft.x, topRight.x), bottomLeft.x), bottomRight.x);
VuoReal transformedBottom = MIN(MIN(MIN(topLeft.y, topRight.y), bottomLeft.y), bottomRight.y);
VuoReal transformedTop = MAX(MAX(MAX(topLeft.y, topRight.y), bottomLeft.y), bottomRight.y);
VuoRectangle transformedRectangle = VuoRectangle_make(
(transformedLeft + transformedRight)/2.,
(transformedBottom + transformedTop)/2.,
transformedRight - transformedLeft,
transformedTop - transformedBottom);
return transformedRectangle;
}
/**
* Returns the union area of @c rectangleA and @c rectangleB.
*/
VuoRectangle VuoPoint2d_rectangleUnion(VuoRectangle rectangleA, VuoRectangle rectangleB)
{
VuoReal left = MIN(rectangleA.center.x - rectangleA.size.x/2., rectangleB.center.x - rectangleB.size.x/2.);
VuoReal right = MAX(rectangleA.center.x + rectangleA.size.x/2., rectangleB.center.x + rectangleB.size.x/2.);
VuoReal bottom = MIN(rectangleA.center.y - rectangleA.size.y/2., rectangleB.center.y - rectangleB.size.y/2.);
VuoReal top = MAX(rectangleA.center.y + rectangleA.size.y/2., rectangleB.center.y + rectangleB.size.y/2.);
return VuoRectangle_make(
(left + right)/2.,
(bottom + top)/2.,
right - left,
top - bottom);
}