public func roundedPolygonPath(rect: CGRect, lineWidth: CGFloat, sides: NSInteger, cornerRadius: CGFloat, rotationOffset: CGFloat = 0) -> UIBezierPath {
let path = UIBezierPath()
let theta: CGFloat = CGFloat(2.0 * M_PI) / CGFloat(sides) // How much to turn at every corner
let offset: CGFloat = cornerRadius * tan(theta / 2.0) // Offset from which to start rounding corners
let width = min(rect.size.width, rect.size.height) // Width of the square
let center = CGPoint(x: rect.origin.x + width / 2.0, y: rect.origin.y + width / 2.0)
// Radius of the circle that encircles the polygon
// Notice that the radius is adjusted for the corners, that way the largest outer
// dimension of the resulting shape is always exactly the width - linewidth
let radius = (width - lineWidth + cornerRadius - (cos(theta) * cornerRadius)) / 2.0
// Start drawing at a point, which by default is at the right hand edge
// but can be offset
var angle = CGFloat(rotationOffset)
let corner = CGPoint(x: center.x + (radius - cornerRadius) * cos(angle),y: center.y + (radius - cornerRadius) * sin(angle))
path.move(to: CGPoint(x: corner.x + cornerRadius * cos(angle + theta),y: corner.y + cornerRadius * sin(angle + theta)))
for _ in 0..<sides {
angle += theta
let corner = CGPoint(x: center.x + (radius - cornerRadius) * cos(angle),y: center.y + (radius - cornerRadius) * sin(angle))
let tip = CGPoint(x: center.x + radius * cos(angle),y: center.y + radius * sin(angle))
let start = CGPoint(x: corner.x + cornerRadius * cos(angle - theta),y: corner.y + cornerRadius * sin(angle - theta))
let end = CGPoint(x: corner.x + cornerRadius * cos(angle + theta), y: corner.y + cornerRadius * sin(angle + theta))
path.addLine(to: start)
path.addQuadCurve(to: end, controlPoint: tip)
}
path.close()
// Move the path to the correct origins
let bounds = path.bounds
let transform = CGAffineTransform(translationX: -bounds.origin.x + rect.origin.x + lineWidth / 2.0, y: -bounds.origin.y + rect.origin.y + lineWidth / 2.0)
path.apply(transform)
return path
}
public func createImage(layer: CALayer) -> UIImage {
let size = CGSizeMake(CGRect.maxX(layer.frame), CGRect.maxY(layer.frame))
UIGraphicsBeginImageContextWithOptions(size, layer.isOpaque, 0.0)
let ctx = UIGraphicsGetCurrentContext()
layer.render(in: ctx!)
let image = UIGraphicsGetImageFromCurrentImageContext()
UIGraphicsEndImageContext()
return image!
}
let lineWidth = CGFloat(7.0)
let rect = CGRectMake(0.0, 0.0, 150.0, 150.0)
let sides = 6
var path = roundedPolygonPath(rect, lineWidth, sides, 15.0, rotationOffset: CGFloat(-M_PI / 2.0))
let borderLayer = CAShapeLayer()
borderLayer.frame = CGRectMake(0.0, 0.0, path.bounds.width + lineWidth, path.bounds.height + lineWidth)
borderLayer.path = path.CGPath
borderLayer.lineWidth = lineWidth
borderLayer.lineJoin = kCALineJoinRound
borderLayer.lineCap = kCALineCapRound
borderLayer.strokeColor = UIColor.blackColor().CGColor
borderLayer.fillColor = UIColor.whiteColor().CGColor
var image = createImage(borderLayer)}[enter image description here][1]
I cannot convert the Swift 3 with CGRect and CGSizeMake functions to latest Swift 4.
The following errors is due to the conversion of Swift 3 example. I have found,
'CGRectMake' is unavailable in Swift
Extensions may not contain stored properties
'CGSizeMake' is unavailable in Swift
*Im trying to draw the path **
Instead of CGSizeMake you now can use CGSize.init, e.g. CGSize(width: 100, height: 50).
Instead of the static function CGRect.maxX you now can use the member method of the same name: CGRect.maxX(layer.frame) becomes layer.frame.maxX.
Related
I used this tutorial to create a hexagon shape:
https://www.hackingwithswift.com/quick-start/swiftui/how-to-draw-polygons-and-stars
My goal is to try to round the corners of my hexagon shape. I know I have to use the path.addCurve somehow, but I cannot figure out where I need to do that. I am only getting weird results. Has anyone got an idea?
struct Polygon: Shape {
let corners: Int
let smoothness: CGFloat
func path(in rect: CGRect) -> Path {
guard corners >= 2 else { return Path() }
let center = CGPoint(x: rect.width / 2, y: rect.height / 2)
var currentAngle = -CGFloat.pi / 2
let angleAdjustment = .pi * 2 / CGFloat(corners * 2)
let innerX = center.x * smoothness
let innerY = center.y * smoothness
var path = Path()
path.move(to: CGPoint(x: center.x * cos(currentAngle), y: center.y * sin(currentAngle)))
var bottomEdge: CGFloat = 0
for corner in 0 ..< corners * 2 {
let sinAngle = sin(currentAngle)
let cosAngle = cos(currentAngle)
let bottom: CGFloat
if corner.isMultiple(of: 2) {
bottom = center.y * sinAngle
path.addLine(to: CGPoint(x: center.x * cosAngle, y: bottom))
} else {
bottom = innerY * sinAngle
path.addLine(to: CGPoint(x: innerX * cosAngle, y: bottom))
}
if bottom > bottomEdge {
bottomEdge = bottom
}
currentAngle += angleAdjustment
}
let unusedSpace = (rect.height / 2 - bottomEdge) / 2
let transform = CGAffineTransform(translationX: center.x, y: center.y + unusedSpace)
return path.applying(transform)
}
}
struct Hexagon: View {
#Environment(\.colorScheme) var colorScheme
var body: some View {
Polygon(corners: 3, smoothness: 1)
.fill(.clear)
.frame(width: 76, height: 76)
}
}
Haven't found a fix but this library does what I want:
https://github.com/heestand-xyz/PolyKit
I create this circle view like this:
override func draw(_ rect: CGRect) {
super.draw(rect)
if let context = UIGraphicsGetCurrentContext()
{
let width = fmin(self.frame.size.width, self.frame.size.height)
let offset_x = abs(width - self.frame.size.width)/2
let offset_y = abs(width - self.frame.size.height)/2
let padding = CGFloat(0.5)
let radius_size = (width/2) - (padding*2)
let circle_width = radius_size/4
context.setStrokeColor(UIColor.black.cgColor)
// Draw a circle
for i in 0 ..< 4
{
let offset = CGFloat(i) * circle_width
context.strokeEllipse(in:
CGRect(
x: padding + offset + offset_x,
y: padding + offset + offset_y,
width: (radius_size - offset)*2,
height: (radius_size - offset)*2))
}
context.strokePath()
}
}
How can I create a line to the circle center, if I have an array, of angles for the most top circle? And how can I do the same, for the middle circle?
For example, I have an array, with the given angles in degrees: [87.0, 112.0, 150.0]
Here's a function drawLine that draws a line from a center point at an angle with a specific radius. To change which circle the line reaches, just change the radius:
override func draw(_ rect: CGRect) {
super.draw(rect)
if let context = UIGraphicsGetCurrentContext()
{
let width = fmin(self.frame.size.width, self.frame.size.height)
let offset_x = abs(width - self.frame.size.width)/2
let offset_y = abs(width - self.frame.size.height)/2
let padding = CGFloat(0.5)
let radius_size = (width/2) - (padding*2)
let circle_width = radius_size/4
context.setStrokeColor(UIColor.black.cgColor)
// Draw a circle
for i in 0 ..< 4
{
let offset = CGFloat(i) * circle_width
context.strokeEllipse(in:
CGRect(
x: padding + offset + offset_x,
y: padding + offset + offset_y,
width: (radius_size - offset)*2,
height: (radius_size - offset)*2))
}
let angles: [CGFloat] = [87.0, 112.0, 150]
let angles2: [CGFloat] = [210.0, 250.0, 330.0]
let center = CGPoint(x: width/2 + offset_x, y: width/2 + offset_y)
for angle in angles {
drawLine(context: context, center: center, radius: radius_size, angle: angle)
}
for angle in angles2 {
drawLine(context: context, center: center, radius: radius_size * 3 / 4, angle: angle)
}
context.strokePath()
}
}
func drawLine(context: CGContext, center: CGPoint, radius: CGFloat, angle: CGFloat) {
context.move(to: center)
context.addLine(to: CGPoint(x: center.x + radius * cos(angle * .pi / 180), y: center.y - radius * sin(angle * .pi / 180)))
}
I have the following code, to draw a circle, with segments inside of it :
override func draw(_ rect: CGRect) {
super.draw(rect)
if let context = UIGraphicsGetCurrentContext()
{
let width = fmin(self.frame.size.width, self.frame.size.height)
let offset_x = abs(width - self.frame.size.width)/2
let offset_y = abs(width - self.frame.size.height)/2
let padding = CGFloat(0.5)
let radius_size = (width/2) - (padding*2)
let circle_width = radius_size/4
context.setStrokeColor(UIColor.black.cgColor)
// Draw a circle
for i in 0 ..< 4
{
let offset = CGFloat(i) * circle_width
context.strokeEllipse(in:
CGRect(
x: padding + offset + offset_x,
y: padding + offset + offset_y,
width: (radius_size - offset)*2,
height: (radius_size - offset)*2))
}
let angles: [CGFloat] = [87.0, 112.0, 150]
let angles2: [CGFloat] = [210.0, 250.0, 330.0]
let center = CGPoint(x: width/2 + offset_x, y: width/2 + offset_y)
for angle in angles {
drawLine(context: context, center: center, radius: radius_size, angle: angle)
}
for angle in angles2 {
drawLine(context: context, center: center, radius: radius_size * 3 / 4, angle: angle)
}
context.strokePath()
}
}
func drawLine(context: CGContext, center: CGPoint, radius: CGFloat, angle: CGFloat) {
context.move(to: center)
context.addLine(to: CGPoint(x: center.x + radius * cos(angle * .pi / 180), y: center.y - radius * sin(angle * .pi / 180)))
}
I want to be able, to create a centered between the segments UILabels, with rotation to the right angle, I made an example in photo editor:
Thanks in advance.
I found the answer:
func drawCurvedText(angle: CGFloat, text: String) {
drawCurvedString(
on: textView.layer,
text: NSAttributedString(
string: text,
attributes: [
NSAttributedString.Key.foregroundColor: UIColor.white,
NSAttributedString.Key.font: UIFont.systemFont(ofSize: 15)
]),
angle: -angle,
radius: 130)
}
func drawCurvedString(on layer: CALayer, text: NSAttributedString, angle: CGFloat, radius: CGFloat) {
var radAngle = angle.radians
let textSize = text.boundingRect(
with: CGSize(width: .max, height: .max),
options: [.usesLineFragmentOrigin, .usesFontLeading],
context: nil)
.integral
.size
let perimeter: CGFloat = 2 * .pi * radius
let textAngle: CGFloat = textSize.width / perimeter * 2 * .pi
var textRotation: CGFloat = 0
var textDirection: CGFloat = 0
if angle > CGFloat(10).radians, angle < CGFloat(170).radians {
// bottom string
textRotation = 0.5 * .pi
textDirection = -2 * .pi
radAngle += textAngle / 2
} else {
// top string
textRotation = 1.5 * .pi
textDirection = 2 * .pi
radAngle -= textAngle / 2
}
for c in 0..<text.length {
let letter = text.attributedSubstring(from: NSRange(c..<c+1))
let charSize = letter.boundingRect(
with: CGSize(width: .max, height: .max),
options: [.usesLineFragmentOrigin, .usesFontLeading],
context: nil)
.integral
.size
let letterAngle = (charSize.width / perimeter) * textDirection
let x = radius * cos(radAngle + (letterAngle / 2))
let y = radius * sin(radAngle + (letterAngle / 2))
let singleChar = drawText(
on: layer,
text: letter,
frame: CGRect(
x: (layer.frame.size.width / 2) - (charSize.width / 2) + x,
y: (layer.frame.size.height / 2) - (charSize.height / 2) + y,
width: charSize.width,
height: charSize.height))
layer.addSublayer(singleChar)
singleChar.transform = CATransform3DMakeAffineTransform(CGAffineTransform(rotationAngle: radAngle - textRotation))
radAngle += letterAngle
}
}
func drawText(on layer: CALayer, text: NSAttributedString, frame: CGRect) -> CATextLayer {
let textLayer = CATextLayer()
textLayer.frame = frame
textLayer.string = text
textLayer.alignmentMode = CATextLayerAlignmentMode.center
textLayer.contentsScale = UIScreen.main.scale
return textLayer
}
I'm building an app where I want to display profilePictures of people "near you" in a hexagon beehive style.
The full beehive should be draggable, like google maps for example.
My question is if this is something I can do with just using UIKit, or if it would be easier to use UIKit and SpriteKit together.
I hope someone could point me at the right direction and or have some ideas on how this could be made. Thank you for your time!
Update:
Just to make my question a bit more clear.
This is how my view looks like atm
And this is what I want to achieve
In the first image I´ve just set the X and Y pos of the UIImage center middle.
I want to create some sort of function that can get an array of different profilePics and then put the out in this pattern.
UIKit alone can do the job: you should try to setup a mask with CALayer on a UIImageView for instance.
The draggable behavior thing can be achieved either with a UIScrollView by adding and arranging all your image subviews in it, or with a UICollectionView with a custom flow, but it may be much harder to set up.
For the hexagon views, you'll find here an interesting example you can adapt for your usage: http://sapandiwakar.in/make-hexagonal-view-on-ios/
Here is an adaption of Sapan Diwakar solution in Swift 4.2 and using extensions:
extension UIBezierPath {
convenience init(roundedPolygonPathInRect rect: CGRect, lineWidth: CGFloat, sides: NSInteger, cornerRadius: CGFloat = 0, rotationOffset: CGFloat = 0) {
self.init()
let theta: CGFloat = 2.0 * CGFloat.pi / CGFloat(sides) // How much to turn at every corner
let width = min(rect.size.width, rect.size.height) // Width of the square
let center = CGPoint(x: rect.origin.x + width / 2.0, y: rect.origin.y + width / 2.0)
// Radius of the circle that encircles the polygon
// Notice that the radius is adjusted for the corners, that way the largest outer
// dimension of the resulting shape is always exactly the width - linewidth
let radius = (width - lineWidth + cornerRadius - (cos(theta) * cornerRadius)) / 2.0
// Start drawing at a point, which by default is at the right hand edge
// but can be offset
var angle = CGFloat(rotationOffset)
let corner = CGPoint(x: center.x + (radius - cornerRadius) * cos(angle), y: center.y + (radius - cornerRadius) * sin(angle))
move(to: CGPoint(x: corner.x + cornerRadius * cos(angle + theta), y: corner.y + cornerRadius * sin(angle + theta)))
for _ in 0 ..< sides {
angle += theta
let corner = CGPoint(x: center.x + (radius - cornerRadius) * cos(angle), y: center.y + (radius - cornerRadius) * sin(angle))
let tip = CGPoint(x: center.x + radius * cos(angle), y: center.y + radius * sin(angle))
let start = CGPoint(x: corner.x + cornerRadius * cos(angle - theta), y: corner.y + cornerRadius * sin(angle - theta))
let end = CGPoint(x: corner.x + cornerRadius * cos(angle + theta), y: corner.y + cornerRadius * sin(angle + theta))
addLine(to: start)
addQuadCurve(to: end, controlPoint: tip)
}
close()
}
}
extension UIImageView {
func setupHexagonMask(lineWidth: CGFloat, color: UIColor, cornerRadius: CGFloat) {
let path = UIBezierPath(roundedPolygonPathInRect: bounds, lineWidth: lineWidth, sides: 6, cornerRadius: cornerRadius, rotationOffset: CGFloat.pi / 2.0).cgPath
let mask = CAShapeLayer()
mask.path = path
mask.lineWidth = lineWidth
mask.strokeColor = UIColor.clear.cgColor
mask.fillColor = UIColor.white.cgColor
layer.mask = mask
let border = CAShapeLayer()
border.path = path
border.lineWidth = lineWidth
border.strokeColor = color.cgColor
border.fillColor = UIColor.clear.cgColor
layer.addSublayer(border)
}
}
And then you can just use it like that:
let image = UIImageView(frame: CGRect(x: 30, y: 30, width: 300, height: 300))
image.contentMode = .scaleAspectFill
image.image = UIImage(named: "lenna.png")
image.setupHexagonMask(lineWidth: 5.0, color: .white, cornerRadius: 20.0)
view.addSubview(image)
EDIT: As I told you, the easiest way is to use a UIScrollView to display your map, and with simple math you can display your hexagons the way you want.
Here is a small example you must adapt to match your requirements. For example you should be extra careful with performance. This example should not be used as is, if you have many images, you should load them on the fly and remove them when you don't show them. And you can even think using a background rendering if it takes too much fps...
Assuming view is a UIScrollView:
let hexaDiameter : CGFloat = 150
let hexaWidth = hexaDiameter * sqrt(3) * 0.5
let hexaWidthDelta = (hexaDiameter - hexaWidth) * 0.5
let hexaHeightDelta = hexaDiameter * 0.25
let spacing : CGFloat = 5
let rows = 10
let firstRowColumns = 6
view.contentSize = CGSize(width: spacing + CGFloat(firstRowColumns) * (hexaWidth + spacing),
height: spacing + CGFloat(rows) * (hexaDiameter - hexaHeightDelta + spacing) + hexaHeightDelta)
for y in 0..<rows {
let cellsInRow = y % 2 == 0 ? firstRowColumns : firstRowColumns - 1
let rowXDelta = y % 2 == 0 ? 0.0 : (hexaWidth + spacing) * 0.5
for x in 0..<cellsInRow {
let image = UIImageView(frame: CGRect(x: rowXDelta + CGFloat(x) * (hexaWidth + spacing) + spacing - hexaWidthDelta,
y: CGFloat(y) * (hexaDiameter - hexaHeightDelta + spacing) + spacing,
width: hexaDiameter,
height: hexaDiameter))
image.contentMode = .scaleAspectFill
image.image = UIImage(named: "lenna.png")
image.setupHexagonMask(lineWidth: 5.0, color: .white, cornerRadius: 10.0)
view.addSubview(image)
}
}
I'm looking for a way to programmatically create stars, sunburst, and other "spiky" effects using UIBezierPath.
UIBezierPath *sunbeamsPath = [UIBezierPath bezierPath];
[sunbeamsPath moveToPoint: CGPointMake(x, y)];
Are there any algorithms that can generate points for sunburst like shapes programmatically, without paths overlapping?
I'm also interested in an irregular shape sunburst like the one below:
I would imagine that such algorithm would take a certain number of rays, then roughly divide the circle in a number of segments and generate points for such segment in a clockwise direction. Does an algorithm like the one I'm describing already exists or will I have to write one by myself?
Thank you!
I know this old, but I was curious about the first part of this question myself, and going off jrturton's post, I created a custom UIView that generates a UIBezierPath from center of the view. Even animated it spinning for bonus points. Here is the result:
The code I used is here:
- (void)drawRect:(CGRect)rect {
CGFloat radius = rect.size.width/2.0f;
[self.fillColor setFill];
[self.strokeColor setStroke];
UIBezierPath *bezierPath = [UIBezierPath bezierPath];
CGPoint centerPoint = CGPointMake(rect.origin.x + radius, rect.origin.y + radius);
CGPoint thisPoint = CGPointMake(centerPoint.x + radius, centerPoint.y);
[bezierPath moveToPoint:centerPoint];
CGFloat thisAngle = 0.0f;
CGFloat sliceDegrees = 360.0f / self.beams / 2.0f;
for (int i = 0; i < self.beams; i++) {
CGFloat x = radius * cosf(DEGREES_TO_RADIANS(thisAngle + sliceDegrees)) + centerPoint.x;
CGFloat y = radius * sinf(DEGREES_TO_RADIANS(thisAngle + sliceDegrees)) + centerPoint.y;
thisPoint = CGPointMake(x, y);
[bezierPath addLineToPoint:thisPoint];
thisAngle += sliceDegrees;
CGFloat x2 = radius * cosf(DEGREES_TO_RADIANS(thisAngle + sliceDegrees)) + centerPoint.x;
CGFloat y2 = radius * sinf(DEGREES_TO_RADIANS(thisAngle + sliceDegrees)) + centerPoint.y;
thisPoint = CGPointMake(x2, y2);
[bezierPath addLineToPoint:thisPoint];
[bezierPath addLineToPoint:centerPoint];
thisAngle += sliceDegrees;
}
[bezierPath closePath];
bezierPath.lineWidth = 1;
[bezierPath fill];
[bezierPath stroke];
}
And you can download a sample project here:
https://github.com/meekapps/Sunburst
I'm not aware of an algorithm to create these but I do have some advice - create your bezier path such that (0,0) is the centre of the sunburst, then define however many points you need to draw one "beam" of your sunburst going upwards, returning to (0,0)
Then, for as many beams as you want, perform a loop: apply a rotation transform (2 pi / number of beams) to your sunbeam points (CGPointApplyTransform), and add them to the path.
Once you are finished, you can translate and scale the path for drawing.
I used a similar process to draw star polygons recently and it was very simple. Credit to Rob Napier's book for the idea.
Swift version for this
import UIKit
extension Int {
var degreesToRadians: Double { return Double(self) * .pi / 180 }
var radiansToDegrees: Double { return Double(self) * 180 / .pi }
}
extension FloatingPoint {
var degreesToRadians: Self { return self * .pi / 180 }
var radiansToDegrees: Self { return self * 180 / .pi }
}
class SunBurstView: UIView {
override func draw(_ rect: CGRect) {
let radius: CGFloat = rect.size.width / 2.0
UIColor.red.setFill()
UIColor.blue.setStroke()
let bezierPath = UIBezierPath()
let centerPoint = CGPoint(x: rect.origin.x + radius, y: rect.origin.y + radius)
var thisPoint = CGPoint(x: centerPoint.x + radius, y: centerPoint.y)
bezierPath.move(to: centerPoint)
var thisAngle: CGFloat = 0.0
let sliceDegrees: CGFloat = 360.0 / self.beams / 2.0
for _ in 0..<self.beams {
let x = radius * CGFloat(cosf(Float((thisAngle + sliceDegrees).degreesToRadians))) + centerPoint.x
let y = radius * CGFloat(sinf(Float((thisAngle + sliceDegrees).degreesToRadians))) + centerPoint.y
thisPoint = CGPoint(x: x, y: y)
bezierPath.addLine(to: thisPoint)
thisAngle += sliceDegrees
let x2 = radius * CGFloat(cosf(Float((thisAngle + sliceDegrees).degreesToRadians))) + centerPoint.x
let y2 = radius * CGFloat(sinf(Float((thisAngle + sliceDegrees).degreesToRadians))) + centerPoint.y
thisPoint = CGPoint(x: x2, y: y2)
bezierPath.addLine(to: thisPoint)
bezierPath.addLine(to: centerPoint)
thisAngle += sliceDegrees
}
bezierPath.close()
bezierPath.lineWidth = 1
bezierPath.fill()
bezierPath.stroke()
}
}
I noticed that the Swift version didn't compile for me or take up enough of the screen, so here's Reinier's answer in Swift 4 adjusted for a rectangular view.
extension Int {
var degreesToRadians: Double { return Double(self) * .pi / 180 }
var radiansToDegrees: Double { return Double(self) * 180 / .pi }
}
extension FloatingPoint {
var degreesToRadians: Self { return self * .pi / 180 }
var radiansToDegrees: Self { return self * 180 / .pi }
}
class SunBurstView: UIView {
var beams: CGFloat = 20
override func draw(_ rect: CGRect) {
self.clipsToBounds = false
self.layer.masksToBounds = false
let radius: CGFloat = rect.size.width * 1.5
UIColor.orange.withAlphaComponent(0.3).setFill()
UIColor.clear.setStroke()
let bezierPath = UIBezierPath()
let centerPoint = CGPoint(x: rect.origin.x + (radius / 3), y: rect.origin.y + (radius / 1.5))
var thisPoint = CGPoint(x: centerPoint.x + radius, y: centerPoint.y)
bezierPath.move(to: centerPoint)
var thisAngle: CGFloat = 0.0
let sliceDegrees: CGFloat = 360.0 / self.beams / 2.0
for _ in 0...Int(beams) {
let x = radius * CGFloat(cosf(Float((thisAngle + sliceDegrees).degreesToRadians))) + centerPoint.x
let y = radius * CGFloat(sinf(Float((thisAngle + sliceDegrees).degreesToRadians))) + centerPoint.y
thisPoint = CGPoint(x: x, y: y)
bezierPath.addLine(to: thisPoint)
thisAngle += sliceDegrees
let x2 = radius * CGFloat(cosf(Float((thisAngle + sliceDegrees).degreesToRadians))) + centerPoint.x
let y2 = radius * CGFloat(sinf(Float((thisAngle + sliceDegrees).degreesToRadians))) + centerPoint.y
thisPoint = CGPoint(x: x2, y: y2)
bezierPath.addLine(to: thisPoint)
bezierPath.addLine(to: centerPoint)
thisAngle += sliceDegrees
}
bezierPath.close()
bezierPath.lineWidth = 1
bezierPath.fill()
bezierPath.stroke()
}
}