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Jakey
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Categories/UIKit/UIBezierPath/UIBezierPath+LxThroughPointsBezier.h
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| // | ||
| // UIBezierPath+LxThroughPointsBezier.h | ||
| // LxThroughPointsBezierDemo | ||
| // | ||
| // A funny iOS library. Draw a smooth bezier through several points you designated. The curve‘s bend level is adjustable. | ||
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| //https://github.com/DeveloperLx/LxThroughPointsBezier | ||
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| #import <UIKit/UIKit.h> | ||
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| @interface UIBezierPath (LxThroughPointsBezier) | ||
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| /** | ||
| * The curve‘s bend level. The good value is about 0.6 ~ 0.8. The default and recommended value is 0.7. | ||
| */ | ||
| @property (nonatomic) CGFloat contractionFactor; | ||
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| /** | ||
| * You must wrap CGPoint struct to NSValue object. | ||
| * | ||
| * @param pointArray Points you want to through. You must give at least 1 point for drawing curve. | ||
| */ | ||
| - (void)addBezierThroughPoints:(NSArray *)pointArray; | ||
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| @end |
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Categories/UIKit/UIBezierPath/UIBezierPath+LxThroughPointsBezier.m
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| // | ||
| // UIBezierPath+LxThroughPointsBezier.m | ||
| // LxThroughPointsBezierDemo | ||
| // | ||
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| #import "UIBezierPath+LxThroughPointsBezier.h" | ||
| #import <objc/runtime.h> | ||
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| @implementation UIBezierPath (LxThroughPointsBezier) | ||
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| - (void)setContractionFactor:(CGFloat)contractionFactor | ||
| { | ||
| objc_setAssociatedObject(self, @selector(contractionFactor), @(contractionFactor), OBJC_ASSOCIATION_RETAIN_NONATOMIC); | ||
| } | ||
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| - (CGFloat)contractionFactor | ||
| { | ||
| id contractionFactorAssociatedObject = objc_getAssociatedObject(self, @selector(contractionFactor)); | ||
| if (contractionFactorAssociatedObject == nil) { | ||
| return 0.7; | ||
| } | ||
| return [contractionFactorAssociatedObject floatValue]; | ||
| } | ||
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| - (void)addBezierThroughPoints:(NSArray *)pointArray | ||
| { | ||
| NSAssert(pointArray.count > 0, @"You must give at least 1 point for drawing the curve."); | ||
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| if (pointArray.count < 3) { | ||
| switch (pointArray.count) { | ||
| case 1: | ||
| { | ||
| NSValue * point0Value = pointArray[0]; | ||
| CGPoint point0 = [point0Value CGPointValue]; | ||
| [self addLineToPoint:point0]; | ||
| } | ||
| break; | ||
| case 2: | ||
| { | ||
| NSValue * point0Value = pointArray[0]; | ||
| CGPoint point0 = [point0Value CGPointValue]; | ||
| NSValue * point1Value = pointArray[1]; | ||
| CGPoint point1 = [point1Value CGPointValue]; | ||
| [self addQuadCurveToPoint:point1 controlPoint:ControlPointForTheBezierCanThrough3Point(self.currentPoint, point0, point1)]; | ||
| } | ||
| break; | ||
| default: | ||
| break; | ||
| } | ||
| } | ||
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| CGPoint previousPoint = CGPointZero; | ||
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| CGPoint previousCenterPoint = CGPointZero; | ||
| CGPoint centerPoint = CGPointZero; | ||
| CGFloat centerPointDistance = 0; | ||
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| CGFloat obliqueAngle = 0; | ||
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| CGPoint previousControlPoint1 = CGPointZero; | ||
| CGPoint previousControlPoint2 = CGPointZero; | ||
| CGPoint controlPoint1 = CGPointZero; | ||
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| previousPoint = self.currentPoint; | ||
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| for (int i = 0; i < pointArray.count; i++) { | ||
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| NSValue * pointIValue = pointArray[i]; | ||
| CGPoint pointI = [pointIValue CGPointValue]; | ||
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| if (i > 0) { | ||
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| previousCenterPoint = CenterPointOf(self.currentPoint, previousPoint); | ||
| centerPoint = CenterPointOf(previousPoint, pointI); | ||
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| centerPointDistance = DistanceBetweenPoint(previousCenterPoint, centerPoint); | ||
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| obliqueAngle = ObliqueAngleOfStraightThrough(centerPoint, previousCenterPoint); | ||
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| previousControlPoint2 = CGPointMake(previousPoint.x - 0.5 * self.contractionFactor * centerPointDistance * cos(obliqueAngle), previousPoint.y - 0.5 * self.contractionFactor * centerPointDistance * sin(obliqueAngle)); | ||
| controlPoint1 = CGPointMake(previousPoint.x + 0.5 * self.contractionFactor * centerPointDistance * cos(obliqueAngle), previousPoint.y + 0.5 * self.contractionFactor * centerPointDistance * sin(obliqueAngle)); | ||
| } | ||
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| if (i == 1) { | ||
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| [self addQuadCurveToPoint:previousPoint controlPoint:previousControlPoint2]; | ||
| } | ||
| else if (i > 1 && i < pointArray.count - 1) { | ||
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| [self addCurveToPoint:previousPoint controlPoint1:previousControlPoint1 controlPoint2:previousControlPoint2]; | ||
| } | ||
| else if (i == pointArray.count - 1) { | ||
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| [self addCurveToPoint:previousPoint controlPoint1:previousControlPoint1 controlPoint2:previousControlPoint2]; | ||
| [self addQuadCurveToPoint:pointI controlPoint:controlPoint1]; | ||
| } | ||
| else { | ||
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| } | ||
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| previousControlPoint1 = controlPoint1; | ||
| previousPoint = pointI; | ||
| } | ||
| } | ||
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| CGFloat ObliqueAngleOfStraightThrough(CGPoint point1, CGPoint point2) // [-π/2, 3π/2) | ||
| { | ||
| CGFloat obliqueRatio = 0; | ||
| CGFloat obliqueAngle = 0; | ||
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| if (point1.x > point2.x) { | ||
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| obliqueRatio = (point2.y - point1.y) / (point2.x - point1.x); | ||
| obliqueAngle = atan(obliqueRatio); | ||
| } | ||
| else if (point1.x < point2.x) { | ||
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| obliqueRatio = (point2.y - point1.y) / (point2.x - point1.x); | ||
| obliqueAngle = M_PI + atan(obliqueRatio); | ||
| } | ||
| else if (point2.y - point1.y >= 0) { | ||
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| obliqueAngle = M_PI/2; | ||
| } | ||
| else { | ||
| obliqueAngle = -M_PI/2; | ||
| } | ||
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| return obliqueAngle; | ||
| } | ||
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| CGPoint ControlPointForTheBezierCanThrough3Point(CGPoint point1, CGPoint point2, CGPoint point3) | ||
| { | ||
| return CGPointMake(2 * point2.x - (point1.x + point3.x) / 2, 2 * point2.y - (point1.y + point3.y) / 2); | ||
| } | ||
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| CGFloat DistanceBetweenPoint(CGPoint point1, CGPoint point2) | ||
| { | ||
| return sqrt((point1.x - point2.x) * (point1.x - point2.x) + (point1.y - point2.y) * (point1.y - point2.y)); | ||
| } | ||
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| CGPoint CenterPointOf(CGPoint point1, CGPoint point2) | ||
| { | ||
| return CGPointMake((point1.x + point2.x) / 2, (point1.y + point2.y) / 2); | ||
| } | ||
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| @end |
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