iOS 如何判断一个点在圆、方框、三角形区域内?

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如何判断一个点是不是在方框(CGRect)、圆(Circle)、三角形(Triangle)内呢?

1.方框

//苹果官方方法可以判断+ (BOOL)point:(CGPoint)point inSquareArea:(CGRect)rect {    return CGRectContainsPoint(rect, point);}

2.圆

//圆心到点的距离>?半径+ (BOOL)point:(CGPoint)point inCircleRect:(CGRect)rect {    CGFloat radius = rect.size.width/2.0;    CGPoint center = CGPointMake(rect.origin.x + radius, rect.origin.y + radius);    double dx = fabs(point.x - center.x);    double dy = fabs(point.y - center.y);    double dis = hypot(dx, dy);    return dis <= radius;}

3.三角形

//点都否在三边线的右边?这个应该不是最优解+ (BOOL)point:(CGPoint)point inTriangleVertexPointsArea:(NSArray<NSValue *> *)vertexPoints {    if (vertexPoints.count == 3) {        CGPoint point0 = [vertexPoints[0] CGPointValue];        CGPoint point1 = [vertexPoints[1] CGPointValue];        CGPoint point2 = [vertexPoints[2] CGPointValue];        BOOL b0 = [self sign:point point1:point0 point2:point1] < 0.0f;        BOOL b1 = [self sign:point point1:point1 point2:point2] < 0.0f;        BOOL b2 = [self sign:point point1:point2 point2:point0] < 0.0f;        return ((b0 == b1) && (b1 == b2));    }    return NO;}+ (CGFloat)sign:(CGPoint)point0 point1:(CGPoint)point1 point2:(CGPoint)point2 {    return (point0.x - point2.x) * (point1.y - point2.y) - (point1.x - point2.x) * (point0.y - point2.y);}