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Geomotion for RubyMotion

iOS Geometry in idiomatic Ruby. Exhaustively tested. What's not to love?

Features

  • Adds methods to return useful information, like whether a rect.contains?(a_point), or point.distance_to(another_point)
  • Easily modify CGRects with methods like shrink_left, grow_down, below, and many many more.
  • Easy conversion to and from NSValue (#to_ns_value and ##from_ns_value)
  • Adds nice inspect methods
  • Many operators (+, -, *)
  • CATransform3D and CGAffineTransform methods to create and concatenate transforms
  • Read on for in-depth examples!

CGRect

# Initializersrect=CGRect.new([10,100],[50,20])rect=CGRect.make(x: 10,y: 100,width: 50,height: 20)rect=CGRect.make(origin: CGPoint(0,0),size: CGSize(0,0))# there are, for convenience, function versions of these:rect=CGRect(10,100,50,20)rect=CGRect([10,100],[50,20])rect=CGRect([[10,100],[50,20]])rect=CGRect(x: 10,y: 100,w: 50,h: 20)rect=CGRect(origin: [10,100],size: [50,20])# Getters[rect.x,rect.y,rect.width,rect.height]=>[10,100,50,20]goofy_rect=CGRect.make(x: 10.1,y: 100.9,width: 50.2,height: 20.8)goofy_rect.integral=>CGRect([10.0,100.0],[51.0,22.0])rect_zero=CGRect.zerorect_zero=CGRect.empty# alias for CGRect.zero=>CGRect(0,0,0,0)rect_zero.empty?=>true# to get the center of the frame, relative to the origin or in absolute coordinatesrect.center=>CGPoint(25,10)# center relative to boundsrect.center(true)=>CGPoint(35,110)# center relative to frame# length of the diagonalsrect=CGRect.new([0,0],[30,40])rect.diagonal# => 50# Other points in the rect can be returned as well, and the same# relative/absolute return values are supported (defaults to relative)top_lefttop_center
| |
o--o--otop_right
| |
center_leftoxocenter_right
| |
o--o--obottom_right
| |
bottom_leftbottom_center# Operator Overloading
-rect=>CGRect(-10, -100, -50, -20)# union of rectsrect + CGRect.make(x: 9,y: 99,width: 10,height: 10)=>rect.union_with(CGRect.make(x: 9,y: 99,width: 10,height: 10))=>CGRect(9,99,50,20)# increases the size, but keeps the originrect + CGSize.make(width: 11,height: 1)=>CGRect(10,100,61,21)# not the same as `grow`, which grows the rect in all directions# move the rect via a pointrect + CGPoint.make(x: 10,y: 10)=>rect.offset(CGPoint.make(x: 10,y: 10))=>CGRect(20,110,50,20)# move the rect via an offsetrect + UIOffsetMake(10,10)rect.offset(UIOffsetMake(10,10))rect.offset(10,10)=>CGRect(20,110,50,20)a_point + a_size=>CGRect(a_point,a_size)# a point and a size make a rectangle. makes sense, right?# Union and Intersectionrect.union_withCGRect.make(x: 9,y: 99,width: 10,height: 10)=>CGRect(9,99,50,20)rect.intersection_withCGRect.make(x: 9,y: 99,width: 10,height: 10)=>CGRect(10,100,10,10)rect.intersects?(another_rect)=>true/false,whethertheyoverlapatallor not
rect.contains?(a_pointora_rect)=>true/false,whetherthepointorrectis *completelycontained* inthereceivingrect# Growing and shrinking# The center stays the same. Think margins!rect.grow(CGSize.make(width: 10,height: 20))=>CGRect(5,90,60,40)rect.shrink(10)=>CGRect(15,105,40,10)# Powerful layout adjustments with chainable methodsview=UIView.alloc.initWithFramerect.below.width(100).height(10)view.frame=>CGRect(10,120,100,10)view2=UIView.alloc.initWithFramerect.beside(10)view2.frame=>CGRect(70,100,50,20.0)# More examples of adjustmentsrect=CGRect.make(x: 10,y: 100,width: 50,height: 20)[rect.right(20).x,rect.left(20).x,rect.up(20).y,rect.down(20).y]=>[30, -10,80,120]# Layout "above" and "before" rectangles# (default offset is the rectangle's width or height)rect.before(5)=>CGRect(-45,100,50,20)rect.before(5,width:20)=>CGRect(-15,100,20,20)rect.above(5)=>CGRect(10,75,50,20)rect.above(5,height:10)=>CGRect(10,85,50,10)# Layout a rect relative to othersrect2=CGRect.make(x: 50,y: 50,width: 100,height: 100)rect3=CGRect.make(x:100,y: 200,width: 20,height: 20)CGRect.layout(rect,above: rect2,right_of: rect3)=>CGRect(120,30,50,20)# Also supports marginsCGRect.layout(rect,above: rect2,right_of: rect3,margins: [0,0,10,15])=>CGRect(135,20,50,20)

Relative vs Absolute

When you are positioning frames, you'll be doing so in one of two ways:

  1. Two frames relative to each other, within a common parent frame
  2. A frame being added as a child of another frame

(generally speaking)

geomotion is optimized for both cases, but the arsenal of methods is different.

frames relative to each other

Any of the location methods (up, down, left, right, beside, before, above, below) will return a frame that is in the same coordinate system of the receiver, and this behavior cannot be changed.

frame=CGRect.make(x: 10,y: 10,width:10,height: 10)frame.beside# => [[20, 10], [10, 10]]frame.right(30).down(5).taller(100)# => [[10+30, 10+5], [10, 10+100]]# aka# => [[40, 15], [10, 110]]

Any methods that include the x or y variable in their name will be absolute.

frame.xframe.min_xframe.max_xframe.mid_xframe.yframe.min_yframe.max_yframe.mid_y
positions relative to the frame's origin

Any of the position methods that do NOT include the x or y variable will ignore the x and y values unless explicitly told to use absolute coordinates.

Note: These methods will "normalize" the width and height, so even if the width or height is negative, these methods will always return positive numbers. If you specify absolute coordinates, the values might be negative, but they will also be sorted (x == min, min < mid, mid < max, x + width == max).

frame=CGRect.make(x: 10,y: 10,width:10,height: 10)frame.top_left# => [0, 0]frame.top_center# => [5, 0]frame.bottom_right# => [10, 10]# use absolute coordinatesframe.top_left(true)# => [10, 10]frame.top_center(true)# => [15, 10]frame.bottom_right(true)# => [20, 20]# negative widths and heights are "corrected" when using absolute coordinatesframe=CGRect.make(x: 20,y: 20,width:-10,height: -10)frame.top_center(true)# => [15, 10]frame.bottom_right(true)# => [20, 20]

The great and powerful apply method

Most of the frame-manipulation methods delegate to the apply method. You can use this method to perform batch changes.

frame=view.frame.apply(left: 10,y: 0,wider: 50,grow_height: 10)

All of the methods that return a new frame (left, shrink, below and friends) also accept a hash in which you can apply more changes. You can accomplish the same thing using method chaining; this is an implementation detail that might also clean your code up by grouping changes.

frame=CGRect.make(x: 10,y: 10,width:10,height: 10)frame.beside.width(20).down(10).height(20)# => [[20, 20], [20, 20]]# using the options hash / apply methodframe.beside(width: 20,down: 10,height: 20)# => [[20, 20], [20, 20]]frame.below(grow_width: 10,grow_up: 5)# => [[0, 15], [40, 25]]# convert to NSValue, for use in NSCoding or where an Objective-C object is# needed. CGRect is a "boxed" object in RubyMotion, and in Objective-C it is a# C-struct and so can't be stored in an NSArray, for example.NSValue.valueWithCGRect(CGRect.new([0,10],[10,20]))# =>value=CGRect.new([0,10],[10,20]).to_ns_valuerect=CGRect.from_ns_value(value)

CGSize

# Initializerssize=CGSize.new(50,20)size=CGSize.make(width: 50,height: 20)# there are, for convenience, function versions of these:size=CGSize(50,20)size=CGSize([50,20])size=CGSize(width: 50,height: 20)# Getterssize_zero=CGSize.empty=>CGSize(0,0)size_zero.empty?=>true# length of the diagonalssize=CGSize.new([30,40])size.diagonal# => 50# modify width, height, or both# biggersize_zero=CGSize.emptysize_zero.grow(5)# => CGSize(5, 5)size_zero.wider(10)# => CGSize(10, 0)size_zero.taller(10)# => CGSize(0, 10)# smallersize_ten=CGSize.new(10,10)size_ten.shrink(5)# => CGSize(5, 5)size_ten.shorter(10)# => CGSize(10, 0)size_ten.thinner(10)# => CGSize(0, 10)# Operator Overloading
-size=>CGSize(-50, -20)size + CGSize.make(width: 100,height: 50)=>CGSize(150,70)size + CGPoint.make(x: 10,y: 30)=>CGRect(10,30,50,20)# Combine with CGPointsize.rect_at_pointCGPoint.make(x: 10,y: 30)=>CGRect(10,30,50,20)# convert to NSValue, for use in NSCoding or where an Objective-C object is# needed.NSValue.valueWithCGSize(CGSize.new(0,10))# =>value=CGSize.new(0,10).to_ns_valuesize=CGSize.from_ns_value(value)

CGPoint

# Initializerspoint=CGPoint.new(10,100)point=CGPoint.make(x: 10,y: 100)# there are, for convenience, function versions of these:point=CGPoint(10,100)point=CGPoint([10,100])point=CGPoint(x: 10,y: 100)# Return a modified copypoint.up(50).left(5)=>CGPoint(5,50)# original is not modified, a new point is returnedpoint.down(50).right(5)=>CGPoint(15,150)# Operator Overloading
-point=>CGPoint(-10, -100)point + CGPoint.make(x: 20,y: 40)=>CGPoint(30,140)point + CGSize.make(width: 50,height: 20)=>CGRect(10,100,50,20)# Combine with CGSizepoint.rect_of_sizeCGSize.make(width: 50,height: 20)=>CGRect(10,100,50,20)# Compare with CGRectpoint.inside?CGRect.make(x: 0,y: 0,width: 20,height: 110)=>true# Compare with origin# lengthCGPoint.new(3,4).length=>5# angleCGPoint.new(1,1).angle * 180 / Math::PI=>45.0# if you only need to *compare* lengths, use rough_length. It is faster, since# it doesn't perform the sqrt part of pythagorean's theorem.CGPoint.new(3,4).rough_length=>25# Distance to pointpoint=CGPoint.new(10,100)point.distance_to(CGPoint.make(x: 13,y:104))=>5# If you just need to know whether the points are within a certain distance, it# is faster to use distance_within? (it uses rough_length to compare the distances)point.distance_within?(5,to: CGPoint.make(x: 13,y: 104))=>true# Angle between target and receiver# (hint: our answer should be 45°)point=CGPoint.new(10,100)point.angle_to(CGPoint.make(x: 20,y:110))=>0.785398163397(pi/4)# convert to NSValue, for use in NSCoding or where an Objective-C object is# needed.NSValue.valueWithCGPoint(CGPoint.new(0,10))# =>value=CGPoint.new(0,10).to_ns_valuepoint=CGPoint.from_ns_value(value)

CGAffineTransform

These are assigned to the UIView#transform parameter. See CATransform3D for the transforms that are designed for CALayer object.

# you *can* create it manuallytransform=CGAffineTransform.make(a: 1,b: 0,c: 0,d: 1,tx: 0,ty: 0)transform=CGAffineTransform(1,0,0,1,0,0)# but don't! the `make` method accepts `translate`, `scale`, and `rotate` argstransform=CGAffineTransform.make(scale: 2,translate: [10,10],rotate: Math::PI)# identity transform is easyCGAffineTransform.identity# just to be sureCGAffineTransform.identity.identity?# => true# Operator Overloadingtransform1=CGAffineTransform.make(scale: 2)transform2=CGAffineTransform.make(translate: [10,10])# concatenate transformstransform1 + transform2transform1 << transform2# aliastransform1 - transform2# => transform1 + -transform2# => transform1 + transform2.inverttransform1 - transform1# => CGAffineTransform.identity# create new transforms by calling `translate`, `scale`, or `rotate` as factory# methodsCGAffineTransform.translate(10,10)CGAffineTransform.scale(2)# scale x and y by 2CGAffineTransform.scale(2,4)# scale x by 2 and y by 4CGAffineTransform.rotate(Math::PI / 4)# "shearing" turns a rectangle into a parallelogram# see sceenshot below or run geomotion appCGAffineTransform.shear(0.5,0)# in x directionCGAffineTransform.shear(0,0.5)# in y direction# you can combine these, but it looks kind of strange. better to pick one# direction# or you can chain these methodsCGAffineTransform.identity.translate(10,10).scale(2).rotate(Math::PI / 4)# convert to NSValue, for use in NSCoding or where an Objective-C object is# needed.NSValue.valueWithCGAffineTransform(CGAffineTransform.translate(0,10))# =>value=CGAffineTransform.translate(0,10).to_ns_valuetransform=CGAffineTransform.from_ns_value(value)
Shearing

Shearing

CATransform3D

CALayers can take on full 3D transforms.

# these are really gnarlytransform=CATransform3D.make(m11: 1,m12: 0,m13: 0,m14: 0,m21: 0,m22: 1,m23: 0,m24: 0,m31: 0,m32: 0,m33: 1,m34: 0,m41: 0,m42: 0,m43: 0,m44: 1,)transform=CATransform3D(samethingworkshere)# accepts transforms like CGAffineTransform, but many take 3 instead of 2 argstransform=CATransform3D.make(scale: [2,2,1],translate: [10,10,10],rotate: Math::PI)# identity transformCATransform3D.identityCATransform3D.identity.identity?# => true# Operator Overloadingtransform1=CATransform3D.make(scale: 2)transform2=CATransform3D.make(translate: [10,10])# concatenate transformstransform1 + transform2transform1 << transform2# aliastransform1 - transform2# => transform1 + -transform2# => transform1 + transform2.inverttransform1 - transform1# => CATransform3D.identity# create new transforms by calling factory methodsCATransform3D.translate(10,10,10)CATransform3D.scale(2)# scale x and y by 2CATransform3D.scale(2,4,3)# scale x by 2, y by 4, z by 3CATransform3D.rotate(Math::PI / 4)# "shearing" works the same as CGAffineTransformCATransform3D.shear(0.5,0)# in x directionCATransform3D.shear(0,0.5)# in y direction# "perspective" changes are better than rotation because they make one side# bigger and one side smaller# see sceenshot below or run geomotion appCATransform3D.perspective(0.002,0)# similar to rotating around x-axisCATransform3D.perspective(0,0.002)# "rotates" around the y-axis# or you can chain these methodsCATransform3D.identity.translate(10,10,10).scale(2).rotate(Math::PI / 4)# convert to NSValue, for use in NSCoding or CAKeyframeAnimation#valuesNSValue.valueWithCATransform3D(CATransform3D.translate(0,10,0))# =>value=CATransform3D.translate(0,10,0).to_ns_valuetransform=CATransform3D.from_ns_value(value)
Perspective

Perspective

Install

  1. gem install geomotion

  2. Add require 'geomotion' in your Rakefile.

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Better iOS Geometry with RubyMotion

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Geomotion for RubyMotion
iOS Geometry in idiomatic Ruby. Exhaustively tested. What's not to love?
Features
  • Adds methods to return useful information, like whether a
rect.contains?(a_point), or point.distance_to(another_point)
  • Easily modify CGRects with methods like shrink_left, grow_down, below,
and many many more.
  • Easy conversion to and from NSValue (#to_ns_value and ##from_ns_value)
  • Adds nice inspect methods
  • Many operators (+, -, *)
  • CATransform3D and CGAffineTransform methods to create and concatenate transforms
  • Read on for in-depth examples!
CGRect
# Initializersrect=CGRect.new([10,100],[50,20])rect=CGRect.make(x: 10,y: 100,width: 50,height: 20)rect=CGRect.make(origin: CGPoint(0,0),size: CGSize(0,0))# there are, for convenience, function versions of these:rect=CGRect(10,100,50,20)rect=CGRect([10,100],[50,20])rect=CGRect([[10,100],[50,20]])rect=CGRect(x: 10,y: 100,w: 50,h: 20)rect=CGRect(origin: [10,100],size: [50,20])# Getters[rect.x,rect.y,rect.width,rect.height]=>[10,100,50,20]goofy_rect=CGRect.make(x: 10.1,y: 100.9,width: 50.2,height: 20.8)goofy_rect.integral=>CGRect([10.0,100.0],[51.0,22.0])rect_zero=CGRect.zerorect_zero=CGRect.empty# alias for CGRect.zero=>CGRect(0,0,0,0)rect_zero.empty?=>true# to get the center of the frame, relative to the origin or in absolute coordinatesrect.center=>CGPoint(25,10)# center relative to boundsrect.center(true)=>CGPoint(35,110)# center relative to frame# length of the diagonalsrect=CGRect.new([0,0],[30,40])rect.diagonal# => 50# Other points in the rect can be returned as well, and the same# relative/absolute return values are supported (defaults to relative)top_lefttop_center
| |
o--o--otop_right
| |
center_leftoxocenter_right
| |
o--o--obottom_right
| |
bottom_leftbottom_center# Operator Overloading
-rect=>CGRect(-10, -100, -50, -20)# union of rectsrect + CGRect.make(x: 9,y: 99,width: 10,height: 10)=>rect.union_with(CGRect.make(x: 9,y: 99,width: 10,height: 10))=>CGRect(9,99,50,20)# increases the size, but keeps the originrect + CGSize.make(width: 11,height: 1)=>CGRect(10,100,61,21)# not the same as `grow`, which grows the rect in all directions# move the rect via a pointrect + CGPoint.make(x: 10,y: 10)=>rect.offset(CGPoint.make(x: 10,y: 10))=>CGRect(20,110,50,20)# move the rect via an offsetrect + UIOffsetMake(10,10)rect.offset(UIOffsetMake(10,10))rect.offset(10,10)=>CGRect(20,110,50,20)a_point + a_size=>CGRect(a_point,a_size)# a point and a size make a rectangle. makes sense, right?# Union and Intersectionrect.union_withCGRect.make(x: 9,y: 99,width: 10,height: 10)=>CGRect(9,99,50,20)rect.intersection_withCGRect.make(x: 9,y: 99,width: 10,height: 10)=>CGRect(10,100,10,10)rect.intersects?(another_rect)=>true/false,whethertheyoverlapatallor not
rect.contains?(a_pointora_rect)=>true/false,whetherthepointorrectis *completelycontained* inthereceivingrect# Growing and shrinking# The center stays the same. Think margins!rect.grow(CGSize.make(width: 10,height: 20))=>CGRect(5,90,60,40)rect.shrink(10)=>CGRect(15,105,40,10)# Powerful layout adjustments with chainable methodsview=UIView.alloc.initWithFramerect.below.width(100).height(10)view.frame=>CGRect(10,120,100,10)view2=UIView.alloc.initWithFramerect.beside(10)view2.frame=>CGRect(70,100,50,20.0)# More examples of adjustmentsrect=CGRect.make(x: 10,y: 100,width: 50,height: 20)[rect.right(20).x,rect.left(20).x,rect.up(20).y,rect.down(20).y]=>[30, -10,80,120]# Layout "above" and "before" rectangles# (default offset is the rectangle's width or height)rect.before(5)=>CGRect(-45,100,50,20)rect.before(5,width:20)=>CGRect(-15,100,20,20)rect.above(5)=>CGRect(10,75,50,20)rect.above(5,height:10)=>CGRect(10,85,50,10)# Layout a rect relative to othersrect2=CGRect.make(x: 50,y: 50,width: 100,height: 100)rect3=CGRect.make(x:100,y: 200,width: 20,height: 20)CGRect.layout(rect,above: rect2,right_of: rect3)=>CGRect(120,30,50,20)# Also supports marginsCGRect.layout(rect,above: rect2,right_of: rect3,margins: [0,0,10,15])=>CGRect(135,20,50,20)
Relative vs Absolute
When you are positioning frames, you'll be doing so in one of two ways:
  1. Two frames relative to each other, within a common parent frame
  2. A frame being added as a child of another frame
(generally speaking)
geomotion is optimized for both cases, but the arsenal of methods is different.
frames relative to each other
Any of the location methods (up, down, left, right, beside, before, above, below)
will return a frame that is in the same coordinate system of the receiver, and
this behavior cannot be changed.
frame=CGRect.make(x: 10,y: 10,width:10,height: 10)frame.beside# => [[20, 10], [10, 10]]frame.right(30).down(5).taller(100)# => [[10+30, 10+5], [10, 10+100]]# aka# => [[40, 15], [10, 110]]
Any methods that include the x or y variable in their name will be absolute.
frame.xframe.min_xframe.max_xframe.mid_xframe.yframe.min_yframe.max_yframe.mid_y
positions relative to the frame's origin
Any of the position methods that do NOT include the x or y variable will
ignore the x and y values unless explicitly told to use absolute
coordinates.
Note: These methods will "normalize" the width and height, so even if
the width or height is negative, these methods will always return positive
numbers. If you specify absolute coordinates, the values might be negative, but
they will also be sorted (x == min, min < mid, mid < max, x + width == max).
frame=CGRect.make(x: 10,y: 10,width:10,height: 10)frame.top_left# => [0, 0]frame.top_center# => [5, 0]frame.bottom_right# => [10, 10]# use absolute coordinatesframe.top_left(true)# => [10, 10]frame.top_center(true)# => [15, 10]frame.bottom_right(true)# => [20, 20]# negative widths and heights are "corrected" when using absolute coordinatesframe=CGRect.make(x: 20,y: 20,width:-10,height: -10)frame.top_center(true)# => [15, 10]frame.bottom_right(true)# => [20, 20]
The great and powerful apply method
Most of the frame-manipulation methods delegate to the apply method. You can
use this method to perform batch changes.
frame=view.frame.apply(left: 10,y: 0,wider: 50,grow_height: 10)
All of the methods that return a new frame (left, shrink, below and friends)
also accept a hash in which you can apply more changes. You can accomplish the
same thing using method chaining; this is an implementation detail that might
also clean your code up by grouping changes.
frame=CGRect.make(x: 10,y: 10,width:10,height: 10)frame.beside.width(20).down(10).height(20)# => [[20, 20], [20, 20]]# using the options hash / apply methodframe.beside(width: 20,down: 10,height: 20)# => [[20, 20], [20, 20]]frame.below(grow_width: 10,grow_up: 5)# => [[0, 15], [40, 25]]# convert to NSValue, for use in NSCoding or where an Objective-C object is# needed. CGRect is a "boxed" object in RubyMotion, and in Objective-C it is a# C-struct and so can't be stored in an NSArray, for example.NSValue.valueWithCGRect(CGRect.new([0,10],[10,20]))# =>value=CGRect.new([0,10],[10,20]).to_ns_valuerect=CGRect.from_ns_value(value)
CGSize
# Initializerssize=CGSize.new(50,20)size=CGSize.make(width: 50,height: 20)# there are, for convenience, function versions of these:size=CGSize(50,20)size=CGSize([50,20])size=CGSize(width: 50,height: 20)# Getterssize_zero=CGSize.empty=>CGSize(0,0)size_zero.empty?=>true# length of the diagonalssize=CGSize.new([30,40])size.diagonal# => 50# modify width, height, or both# biggersize_zero=CGSize.emptysize_zero.grow(5)# => CGSize(5, 5)size_zero.wider(10)# => CGSize(10, 0)size_zero.taller(10)# => CGSize(0, 10)# smallersize_ten=CGSize.new(10,10)size_ten.shrink(5)# => CGSize(5, 5)size_ten.shorter(10)# => CGSize(10, 0)size_ten.thinner(10)# => CGSize(0, 10)# Operator Overloading
-size=>CGSize(-50, -20)size + CGSize.make(width: 100,height: 50)=>CGSize(150,70)size + CGPoint.make(x: 10,y: 30)=>CGRect(10,30,50,20)# Combine with CGPointsize.rect_at_pointCGPoint.make(x: 10,y: 30)=>CGRect(10,30,50,20)# convert to NSValue, for use in NSCoding or where an Objective-C object is# needed.NSValue.valueWithCGSize(CGSize.new(0,10))# =>value=CGSize.new(0,10).to_ns_valuesize=CGSize.from_ns_value(value)
CGPoint
# Initializerspoint=CGPoint.new(10,100)point=CGPoint.make(x: 10,y: 100)# there are, for convenience, function versions of these:point=CGPoint(10,100)point=CGPoint([10,100])point=CGPoint(x: 10,y: 100)# Return a modified copypoint.up(50).left(5)=>CGPoint(5,50)# original is not modified, a new point is returnedpoint.down(50).right(5)=>CGPoint(15,150)# Operator Overloading
-point=>CGPoint(-10, -100)point + CGPoint.make(x: 20,y: 40)=>CGPoint(30,140)point + CGSize.make(width: 50,height: 20)=>CGRect(10,100,50,20)# Combine with CGSizepoint.rect_of_sizeCGSize.make(width: 50,height: 20)=>CGRect(10,100,50,20)# Compare with CGRectpoint.inside?CGRect.make(x: 0,y: 0,width: 20,height: 110)=>true# Compare with origin# lengthCGPoint.new(3,4).length=>5# angleCGPoint.new(1,1).angle * 180 / Math::PI=>45.0# if you only need to *compare* lengths, use rough_length. It is faster, since# it doesn't perform the sqrt part of pythagorean's theorem.CGPoint.new(3,4).rough_length=>25# Distance to pointpoint=CGPoint.new(10,100)point.distance_to(CGPoint.make(x: 13,y:104))=>5# If you just need to know whether the points are within a certain distance, it# is faster to use distance_within? (it uses rough_length to compare the distances)point.distance_within?(5,to: CGPoint.make(x: 13,y: 104))=>true# Angle between target and receiver# (hint: our answer should be 45°)point=CGPoint.new(10,100)point.angle_to(CGPoint.make(x: 20,y:110))=>0.785398163397(pi/4)# convert to NSValue, for use in NSCoding or where an Objective-C object is# needed.NSValue.valueWithCGPoint(CGPoint.new(0,10))# =>value=CGPoint.new(0,10).to_ns_valuepoint=CGPoint.from_ns_value(value)
CGAffineTransform
These are assigned to the UIView#transform parameter. See CATransform3D for
the transforms that are designed for CALayer object.
# you *can* create it manuallytransform=CGAffineTransform.make(a: 1,b: 0,c: 0,d: 1,tx: 0,ty: 0)transform=CGAffineTransform(1,0,0,1,0,0)# but don't! the `make` method accepts `translate`, `scale`, and `rotate` argstransform=CGAffineTransform.make(scale: 2,translate: [10,10],rotate: Math::PI)# identity transform is easyCGAffineTransform.identity# just to be sureCGAffineTransform.identity.identity?# => true# Operator Overloadingtransform1=CGAffineTransform.make(scale: 2)transform2=CGAffineTransform.make(translate: [10,10])# concatenate transformstransform1 + transform2transform1 << transform2# aliastransform1 - transform2# => transform1 + -transform2# => transform1 + transform2.inverttransform1 - transform1# => CGAffineTransform.identity# create new transforms by calling `translate`, `scale`, or `rotate` as factory# methodsCGAffineTransform.translate(10,10)CGAffineTransform.scale(2)# scale x and y by 2CGAffineTransform.scale(2,4)# scale x by 2 and y by 4CGAffineTransform.rotate(Math::PI / 4)# "shearing" turns a rectangle into a parallelogram# see sceenshot below or run geomotion appCGAffineTransform.shear(0.5,0)# in x directionCGAffineTransform.shear(0,0.5)# in y direction# you can combine these, but it looks kind of strange. better to pick one# direction# or you can chain these methodsCGAffineTransform.identity.translate(10,10).scale(2).rotate(Math::PI / 4)# convert to NSValue, for use in NSCoding or where an Objective-C object is# needed.NSValue.valueWithCGAffineTransform(CGAffineTransform.translate(0,10))# =>value=CGAffineTransform.translate(0,10).to_ns_valuetransform=CGAffineTransform.from_ns_value(value)
Shearing
Shearing
CATransform3D
CALayers can take on full 3D transforms.
# these are really gnarlytransform=CATransform3D.make(m11: 1,m12: 0,m13: 0,m14: 0,m21: 0,m22: 1,m23: 0,m24: 0,m31: 0,m32: 0,m33: 1,m34: 0,m41: 0,m42: 0,m43: 0,m44: 1,)transform=CATransform3D(samethingworkshere)# accepts transforms like CGAffineTransform, but many take 3 instead of 2 argstransform=CATransform3D.make(scale: [2,2,1],translate: [10,10,10],rotate: Math::PI)# identity transformCATransform3D.identityCATransform3D.identity.identity?# => true# Operator Overloadingtransform1=CATransform3D.make(scale: 2)transform2=CATransform3D.make(translate: [10,10])# concatenate transformstransform1 + transform2transform1 << transform2# aliastransform1 - transform2# => transform1 + -transform2# => transform1 + transform2.inverttransform1 - transform1# => CATransform3D.identity# create new transforms by calling factory methodsCATransform3D.translate(10,10,10)CATransform3D.scale(2)# scale x and y by 2CATransform3D.scale(2,4,3)# scale x by 2, y by 4, z by 3CATransform3D.rotate(Math::PI / 4)# "shearing" works the same as CGAffineTransformCATransform3D.shear(0.5,0)# in x directionCATransform3D.shear(0,0.5)# in y direction# "perspective" changes are better than rotation because they make one side# bigger and one side smaller# see sceenshot below or run geomotion appCATransform3D.perspective(0.002,0)# similar to rotating around x-axisCATransform3D.perspective(0,0.002)# "rotates" around the y-axis# or you can chain these methodsCATransform3D.identity.translate(10,10,10).scale(2).rotate(Math::PI / 4)# convert to NSValue, for use in NSCoding or CAKeyframeAnimation#valuesNSValue.valueWithCATransform3D(CATransform3D.translate(0,10,0))# =>value=CATransform3D.translate(0,10,0).to_ns_valuetransform=CATransform3D.from_ns_value(value)
Perspective
Perspective
Install
  1. gem install geomotion
  2. Add require 'geomotion' in your Rakefile.
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Geomotion for RubyMotion
iOS Geometry in idiomatic Ruby. Exhaustively tested. What's not to love?
Features
  • Adds methods to return useful information, like whether a
rect.contains?(a_point), or point.distance_to(another_point)
  • Easily modify CGRects with methods like shrink_left, grow_down, below,
and many many more.
  • Easy conversion to and from NSValue (#to_ns_value and ##from_ns_value)
  • Adds nice inspect methods
  • Many operators (+, -, *)
  • CATransform3D and CGAffineTransform methods to create and concatenate transforms
  • Read on for in-depth examples!
CGRect
# Initializersrect=CGRect.new([10,100],[50,20])rect=CGRect.make(x: 10,y: 100,width: 50,height: 20)rect=CGRect.make(origin: CGPoint(0,0),size: CGSize(0,0))# there are, for convenience, function versions of these:rect=CGRect(10,100,50,20)rect=CGRect([10,100],[50,20])rect=CGRect([[10,100],[50,20]])rect=CGRect(x: 10,y: 100,w: 50,h: 20)rect=CGRect(origin: [10,100],size: [50,20])# Getters[rect.x,rect.y,rect.width,rect.height]=>[10,100,50,20]goofy_rect=CGRect.make(x: 10.1,y: 100.9,width: 50.2,height: 20.8)goofy_rect.integral=>CGRect([10.0,100.0],[51.0,22.0])rect_zero=CGRect.zerorect_zero=CGRect.empty# alias for CGRect.zero=>CGRect(0,0,0,0)rect_zero.empty?=>true# to get the center of the frame, relative to the origin or in absolute coordinatesrect.center=>CGPoint(25,10)# center relative to boundsrect.center(true)=>CGPoint(35,110)# center relative to frame# length of the diagonalsrect=CGRect.new([0,0],[30,40])rect.diagonal# => 50# Other points in the rect can be returned as well, and the same# relative/absolute return values are supported (defaults to relative)top_lefttop_center
| |
o--o--otop_right
| |
center_leftoxocenter_right
| |
o--o--obottom_right
| |
bottom_leftbottom_center# Operator Overloading
-rect=>CGRect(-10, -100, -50, -20)# union of rectsrect + CGRect.make(x: 9,y: 99,width: 10,height: 10)=>rect.union_with(CGRect.make(x: 9,y: 99,width: 10,height: 10))=>CGRect(9,99,50,20)# increases the size, but keeps the originrect + CGSize.make(width: 11,height: 1)=>CGRect(10,100,61,21)# not the same as `grow`, which grows the rect in all directions# move the rect via a pointrect + CGPoint.make(x: 10,y: 10)=>rect.offset(CGPoint.make(x: 10,y: 10))=>CGRect(20,110,50,20)# move the rect via an offsetrect + UIOffsetMake(10,10)rect.offset(UIOffsetMake(10,10))rect.offset(10,10)=>CGRect(20,110,50,20)a_point + a_size=>CGRect(a_point,a_size)# a point and a size make a rectangle. makes sense, right?# Union and Intersectionrect.union_withCGRect.make(x: 9,y: 99,width: 10,height: 10)=>CGRect(9,99,50,20)rect.intersection_withCGRect.make(x: 9,y: 99,width: 10,height: 10)=>CGRect(10,100,10,10)rect.intersects?(another_rect)=>true/false,whethertheyoverlapatallor not
rect.contains?(a_pointora_rect)=>true/false,whetherthepointorrectis *completelycontained* inthereceivingrect# Growing and shrinking# The center stays the same. Think margins!rect.grow(CGSize.make(width: 10,height: 20))=>CGRect(5,90,60,40)rect.shrink(10)=>CGRect(15,105,40,10)# Powerful layout adjustments with chainable methodsview=UIView.alloc.initWithFramerect.below.width(100).height(10)view.frame=>CGRect(10,120,100,10)view2=UIView.alloc.initWithFramerect.beside(10)view2.frame=>CGRect(70,100,50,20.0)# More examples of adjustmentsrect=CGRect.make(x: 10,y: 100,width: 50,height: 20)[rect.right(20).x,rect.left(20).x,rect.up(20).y,rect.down(20).y]=>[30, -10,80,120]# Layout "above" and "before" rectangles# (default offset is the rectangle's width or height)rect.before(5)=>CGRect(-45,100,50,20)rect.before(5,width:20)=>CGRect(-15,100,20,20)rect.above(5)=>CGRect(10,75,50,20)rect.above(5,height:10)=>CGRect(10,85,50,10)# Layout a rect relative to othersrect2=CGRect.make(x: 50,y: 50,width: 100,height: 100)rect3=CGRect.make(x:100,y: 200,width: 20,height: 20)CGRect.layout(rect,above: rect2,right_of: rect3)=>CGRect(120,30,50,20)# Also supports marginsCGRect.layout(rect,above: rect2,right_of: rect3,margins: [0,0,10,15])=>CGRect(135,20,50,20)
Relative vs Absolute
When you are positioning frames, you'll be doing so in one of two ways:
  1. Two frames relative to each other, within a common parent frame
  2. A frame being added as a child of another frame
(generally speaking)
geomotion is optimized for both cases, but the arsenal of methods is different.
frames relative to each other
Any of the location methods (up, down, left, right, beside, before, above, below)
will return a frame that is in the same coordinate system of the receiver, and
this behavior cannot be changed.
frame=CGRect.make(x: 10,y: 10,width:10,height: 10)frame.beside# => [[20, 10], [10, 10]]frame.right(30).down(5).taller(100)# => [[10+30, 10+5], [10, 10+100]]# aka# => [[40, 15], [10, 110]]
Any methods that include the x or y variable in their name will be absolute.
frame.xframe.min_xframe.max_xframe.mid_xframe.yframe.min_yframe.max_yframe.mid_y
positions relative to the frame's origin
Any of the position methods that do NOT include the x or y variable will
ignore the x and y values unless explicitly told to use absolute
coordinates.
Note: These methods will "normalize" the width and height, so even if
the width or height is negative, these methods will always return positive
numbers. If you specify absolute coordinates, the values might be negative, but
they will also be sorted (x == min, min < mid, mid < max, x + width == max).
frame=CGRect.make(x: 10,y: 10,width:10,height: 10)frame.top_left# => [0, 0]frame.top_center# => [5, 0]frame.bottom_right# => [10, 10]# use absolute coordinatesframe.top_left(true)# => [10, 10]frame.top_center(true)# => [15, 10]frame.bottom_right(true)# => [20, 20]# negative widths and heights are "corrected" when using absolute coordinatesframe=CGRect.make(x: 20,y: 20,width:-10,height: -10)frame.top_center(true)# => [15, 10]frame.bottom_right(true)# => [20, 20]
The great and powerful apply method
Most of the frame-manipulation methods delegate to the apply method. You can
use this method to perform batch changes.
frame=view.frame.apply(left: 10,y: 0,wider: 50,grow_height: 10)
All of the methods that return a new frame (left, shrink, below and friends)
also accept a hash in which you can apply more changes. You can accomplish the
same thing using method chaining; this is an implementation detail that might
also clean your code up by grouping changes.
frame=CGRect.make(x: 10,y: 10,width:10,height: 10)frame.beside.width(20).down(10).height(20)# => [[20, 20], [20, 20]]# using the options hash / apply methodframe.beside(width: 20,down: 10,height: 20)# => [[20, 20], [20, 20]]frame.below(grow_width: 10,grow_up: 5)# => [[0, 15], [40, 25]]# convert to NSValue, for use in NSCoding or where an Objective-C object is# needed. CGRect is a "boxed" object in RubyMotion, and in Objective-C it is a# C-struct and so can't be stored in an NSArray, for example.NSValue.valueWithCGRect(CGRect.new([0,10],[10,20]))# =>value=CGRect.new([0,10],[10,20]).to_ns_valuerect=CGRect.from_ns_value(value)
CGSize
# Initializerssize=CGSize.new(50,20)size=CGSize.make(width: 50,height: 20)# there are, for convenience, function versions of these:size=CGSize(50,20)size=CGSize([50,20])size=CGSize(width: 50,height: 20)# Getterssize_zero=CGSize.empty=>CGSize(0,0)size_zero.empty?=>true# length of the diagonalssize=CGSize.new([30,40])size.diagonal# => 50# modify width, height, or both# biggersize_zero=CGSize.emptysize_zero.grow(5)# => CGSize(5, 5)size_zero.wider(10)# => CGSize(10, 0)size_zero.taller(10)# => CGSize(0, 10)# smallersize_ten=CGSize.new(10,10)size_ten.shrink(5)# => CGSize(5, 5)size_ten.shorter(10)# => CGSize(10, 0)size_ten.thinner(10)# => CGSize(0, 10)# Operator Overloading
-size=>CGSize(-50, -20)size + CGSize.make(width: 100,height: 50)=>CGSize(150,70)size + CGPoint.make(x: 10,y: 30)=>CGRect(10,30,50,20)# Combine with CGPointsize.rect_at_pointCGPoint.make(x: 10,y: 30)=>CGRect(10,30,50,20)# convert to NSValue, for use in NSCoding or where an Objective-C object is# needed.NSValue.valueWithCGSize(CGSize.new(0,10))# =>value=CGSize.new(0,10).to_ns_valuesize=CGSize.from_ns_value(value)
CGPoint
# Initializerspoint=CGPoint.new(10,100)point=CGPoint.make(x: 10,y: 100)# there are, for convenience, function versions of these:point=CGPoint(10,100)point=CGPoint([10,100])point=CGPoint(x: 10,y: 100)# Return a modified copypoint.up(50).left(5)=>CGPoint(5,50)# original is not modified, a new point is returnedpoint.down(50).right(5)=>CGPoint(15,150)# Operator Overloading
-point=>CGPoint(-10, -100)point + CGPoint.make(x: 20,y: 40)=>CGPoint(30,140)point + CGSize.make(width: 50,height: 20)=>CGRect(10,100,50,20)# Combine with CGSizepoint.rect_of_sizeCGSize.make(width: 50,height: 20)=>CGRect(10,100,50,20)# Compare with CGRectpoint.inside?CGRect.make(x: 0,y: 0,width: 20,height: 110)=>true# Compare with origin# lengthCGPoint.new(3,4).length=>5# angleCGPoint.new(1,1).angle * 180 / Math::PI=>45.0# if you only need to *compare* lengths, use rough_length. It is faster, since# it doesn't perform the sqrt part of pythagorean's theorem.CGPoint.new(3,4).rough_length=>25# Distance to pointpoint=CGPoint.new(10,100)point.distance_to(CGPoint.make(x: 13,y:104))=>5# If you just need to know whether the points are within a certain distance, it# is faster to use distance_within? (it uses rough_length to compare the distances)point.distance_within?(5,to: CGPoint.make(x: 13,y: 104))=>true# Angle between target and receiver# (hint: our answer should be 45°)point=CGPoint.new(10,100)point.angle_to(CGPoint.make(x: 20,y:110))=>0.785398163397(pi/4)# convert to NSValue, for use in NSCoding or where an Objective-C object is# needed.NSValue.valueWithCGPoint(CGPoint.new(0,10))# =>value=CGPoint.new(0,10).to_ns_valuepoint=CGPoint.from_ns_value(value)
CGAffineTransform
These are assigned to the UIView#transform parameter. See CATransform3D for
the transforms that are designed for CALayer object.
# you *can* create it manuallytransform=CGAffineTransform.make(a: 1,b: 0,c: 0,d: 1,tx: 0,ty: 0)transform=CGAffineTransform(1,0,0,1,0,0)# but don't! the `make` method accepts `translate`, `scale`, and `rotate` argstransform=CGAffineTransform.make(scale: 2,translate: [10,10],rotate: Math::PI)# identity transform is easyCGAffineTransform.identity# just to be sureCGAffineTransform.identity.identity?# => true# Operator Overloadingtransform1=CGAffineTransform.make(scale: 2)transform2=CGAffineTransform.make(translate: [10,10])# concatenate transformstransform1 + transform2transform1 << transform2# aliastransform1 - transform2# => transform1 + -transform2# => transform1 + transform2.inverttransform1 - transform1# => CGAffineTransform.identity# create new transforms by calling `translate`, `scale`, or `rotate` as factory# methodsCGAffineTransform.translate(10,10)CGAffineTransform.scale(2)# scale x and y by 2CGAffineTransform.scale(2,4)# scale x by 2 and y by 4CGAffineTransform.rotate(Math::PI / 4)# "shearing" turns a rectangle into a parallelogram# see sceenshot below or run geomotion appCGAffineTransform.shear(0.5,0)# in x directionCGAffineTransform.shear(0,0.5)# in y direction# you can combine these, but it looks kind of strange. better to pick one# direction# or you can chain these methodsCGAffineTransform.identity.translate(10,10).scale(2).rotate(Math::PI / 4)# convert to NSValue, for use in NSCoding or where an Objective-C object is# needed.NSValue.valueWithCGAffineTransform(CGAffineTransform.translate(0,10))# =>value=CGAffineTransform.translate(0,10).to_ns_valuetransform=CGAffineTransform.from_ns_value(value)
Shearing
Shearing
CATransform3D
CALayers can take on full 3D transforms.
# these are really gnarlytransform=CATransform3D.make(m11: 1,m12: 0,m13: 0,m14: 0,m21: 0,m22: 1,m23: 0,m24: 0,m31: 0,m32: 0,m33: 1,m34: 0,m41: 0,m42: 0,m43: 0,m44: 1,)transform=CATransform3D(samethingworkshere)# accepts transforms like CGAffineTransform, but many take 3 instead of 2 argstransform=CATransform3D.make(scale: [2,2,1],translate: [10,10,10],rotate: Math::PI)# identity transformCATransform3D.identityCATransform3D.identity.identity?# => true# Operator Overloadingtransform1=CATransform3D.make(scale: 2)transform2=CATransform3D.make(translate: [10,10])# concatenate transformstransform1 + transform2transform1 << transform2# aliastransform1 - transform2# => transform1 + -transform2# => transform1 + transform2.inverttransform1 - transform1# => CATransform3D.identity# create new transforms by calling factory methodsCATransform3D.translate(10,10,10)CATransform3D.scale(2)# scale x and y by 2CATransform3D.scale(2,4,3)# scale x by 2, y by 4, z by 3CATransform3D.rotate(Math::PI / 4)# "shearing" works the same as CGAffineTransformCATransform3D.shear(0.5,0)# in x directionCATransform3D.shear(0,0.5)# in y direction# "perspective" changes are better than rotation because they make one side# bigger and one side smaller# see sceenshot below or run geomotion appCATransform3D.perspective(0.002,0)# similar to rotating around x-axisCATransform3D.perspective(0,0.002)# "rotates" around the y-axis# or you can chain these methodsCATransform3D.identity.translate(10,10,10).scale(2).rotate(Math::PI / 4)# convert to NSValue, for use in NSCoding or CAKeyframeAnimation#valuesNSValue.valueWithCATransform3D(CATransform3D.translate(0,10,0))# =>value=CATransform3D.translate(0,10,0).to_ns_valuetransform=CATransform3D.from_ns_value(value)
Perspective
Perspective
Install
  1. gem install geomotion
  2. Add require 'geomotion' in your Rakefile.
Forking
If you have cool/better ideas, pull-request away!
About
Better iOS Geometry with RubyMotion
Resources
Readme
MIT license
Activity
Stars
90 stars
Watchers
5 watching
Forks
7 forks
Report repository
Releases
Packages
Used by
Contributors
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Geomotion for RubyMotion
iOS Geometry in idiomatic Ruby. Exhaustively tested. What's not to love?
Features
  • Adds methods to return useful information, like whether a
rect.contains?(a_point), or point.distance_to(another_point)
  • Easily modify CGRects with methods like shrink_left, grow_down, below,
and many many more.
  • Easy conversion to and from NSValue (#to_ns_value and ##from_ns_value)
  • Adds nice inspect methods
  • Many operators (+, -, *)
  • CATransform3D and CGAffineTransform methods to create and concatenate transforms
  • Read on for in-depth examples!
CGRect
# Initializersrect=CGRect.new([10,100],[50,20])rect=CGRect.make(x: 10,y: 100,width: 50,height: 20)rect=CGRect.make(origin: CGPoint(0,0),size: CGSize(0,0))# there are, for convenience, function versions of these:rect=CGRect(10,100,50,20)rect=CGRect([10,100],[50,20])rect=CGRect([[10,100],[50,20]])rect=CGRect(x: 10,y: 100,w: 50,h: 20)rect=CGRect(origin: [10,100],size: [50,20])# Getters[rect.x,rect.y,rect.width,rect.height]=>[10,100,50,20]goofy_rect=CGRect.make(x: 10.1,y: 100.9,width: 50.2,height: 20.8)goofy_rect.integral=>CGRect([10.0,100.0],[51.0,22.0])rect_zero=CGRect.zerorect_zero=CGRect.empty# alias for CGRect.zero=>CGRect(0,0,0,0)rect_zero.empty?=>true# to get the center of the frame, relative to the origin or in absolute coordinatesrect.center=>CGPoint(25,10)# center relative to boundsrect.center(true)=>CGPoint(35,110)# center relative to frame# length of the diagonalsrect=CGRect.new([0,0],[30,40])rect.diagonal# => 50# Other points in the rect can be returned as well, and the same# relative/absolute return values are supported (defaults to relative)top_lefttop_center
| |
o--o--otop_right
| |
center_leftoxocenter_right
| |
o--o--obottom_right
| |
bottom_leftbottom_center# Operator Overloading
-rect=>CGRect(-10, -100, -50, -20)# union of rectsrect + CGRect.make(x: 9,y: 99,width: 10,height: 10)=>rect.union_with(CGRect.make(x: 9,y: 99,width: 10,height: 10))=>CGRect(9,99,50,20)# increases the size, but keeps the originrect + CGSize.make(width: 11,height: 1)=>CGRect(10,100,61,21)# not the same as `grow`, which grows the rect in all directions# move the rect via a pointrect + CGPoint.make(x: 10,y: 10)=>rect.offset(CGPoint.make(x: 10,y: 10))=>CGRect(20,110,50,20)# move the rect via an offsetrect + UIOffsetMake(10,10)rect.offset(UIOffsetMake(10,10))rect.offset(10,10)=>CGRect(20,110,50,20)a_point + a_size=>CGRect(a_point,a_size)# a point and a size make a rectangle. makes sense, right?# Union and Intersectionrect.union_withCGRect.make(x: 9,y: 99,width: 10,height: 10)=>CGRect(9,99,50,20)rect.intersection_withCGRect.make(x: 9,y: 99,width: 10,height: 10)=>CGRect(10,100,10,10)rect.intersects?(another_rect)=>true/false,whethertheyoverlapatallor not
rect.contains?(a_pointora_rect)=>true/false,whetherthepointorrectis *completelycontained* inthereceivingrect# Growing and shrinking# The center stays the same. Think margins!rect.grow(CGSize.make(width: 10,height: 20))=>CGRect(5,90,60,40)rect.shrink(10)=>CGRect(15,105,40,10)# Powerful layout adjustments with chainable methodsview=UIView.alloc.initWithFramerect.below.width(100).height(10)view.frame=>CGRect(10,120,100,10)view2=UIView.alloc.initWithFramerect.beside(10)view2.frame=>CGRect(70,100,50,20.0)# More examples of adjustmentsrect=CGRect.make(x: 10,y: 100,width: 50,height: 20)[rect.right(20).x,rect.left(20).x,rect.up(20).y,rect.down(20).y]=>[30, -10,80,120]# Layout "above" and "before" rectangles# (default offset is the rectangle's width or height)rect.before(5)=>CGRect(-45,100,50,20)rect.before(5,width:20)=>CGRect(-15,100,20,20)rect.above(5)=>CGRect(10,75,50,20)rect.above(5,height:10)=>CGRect(10,85,50,10)# Layout a rect relative to othersrect2=CGRect.make(x: 50,y: 50,width: 100,height: 100)rect3=CGRect.make(x:100,y: 200,width: 20,height: 20)CGRect.layout(rect,above: rect2,right_of: rect3)=>CGRect(120,30,50,20)# Also supports marginsCGRect.layout(rect,above: rect2,right_of: rect3,margins: [0,0,10,15])=>CGRect(135,20,50,20)
Relative vs Absolute
When you are positioning frames, you'll be doing so in one of two ways:
  1. Two frames relative to each other, within a common parent frame
  2. A frame being added as a child of another frame
(generally speaking)
geomotion is optimized for both cases, but the arsenal of methods is different.
frames relative to each other
Any of the location methods (up, down, left, right, beside, before, above, below)
will return a frame that is in the same coordinate system of the receiver, and
this behavior cannot be changed.
frame=CGRect.make(x: 10,y: 10,width:10,height: 10)frame.beside# => [[20, 10], [10, 10]]frame.right(30).down(5).taller(100)# => [[10+30, 10+5], [10, 10+100]]# aka# => [[40, 15], [10, 110]]
Any methods that include the x or y variable in their name will be absolute.
frame.xframe.min_xframe.max_xframe.mid_xframe.yframe.min_yframe.max_yframe.mid_y
positions relative to the frame's origin
Any of the position methods that do NOT include the x or y variable will
ignore the x and y values unless explicitly told to use absolute
coordinates.
Note: These methods will "normalize" the width and height, so even if
the width or height is negative, these methods will always return positive
numbers. If you specify absolute coordinates, the values might be negative, but
they will also be sorted (x == min, min < mid, mid < max, x + width == max).
frame=CGRect.make(x: 10,y: 10,width:10,height: 10)frame.top_left# => [0, 0]frame.top_center# => [5, 0]frame.bottom_right# => [10, 10]# use absolute coordinatesframe.top_left(true)# => [10, 10]frame.top_center(true)# => [15, 10]frame.bottom_right(true)# => [20, 20]# negative widths and heights are "corrected" when using absolute coordinatesframe=CGRect.make(x: 20,y: 20,width:-10,height: -10)frame.top_center(true)# => [15, 10]frame.bottom_right(true)# => [20, 20]
The great and powerful apply method
Most of the frame-manipulation methods delegate to the apply method. You can
use this method to perform batch changes.
frame=view.frame.apply(left: 10,y: 0,wider: 50,grow_height: 10)
All of the methods that return a new frame (left, shrink, below and friends)
also accept a hash in which you can apply more changes. You can accomplish the
same thing using method chaining; this is an implementation detail that might
also clean your code up by grouping changes.
frame=CGRect.make(x: 10,y: 10,width:10,height: 10)frame.beside.width(20).down(10).height(20)# => [[20, 20], [20, 20]]# using the options hash / apply methodframe.beside(width: 20,down: 10,height: 20)# => [[20, 20], [20, 20]]frame.below(grow_width: 10,grow_up: 5)# => [[0, 15], [40, 25]]# convert to NSValue, for use in NSCoding or where an Objective-C object is# needed. CGRect is a "boxed" object in RubyMotion, and in Objective-C it is a# C-struct and so can't be stored in an NSArray, for example.NSValue.valueWithCGRect(CGRect.new([0,10],[10,20]))# =>value=CGRect.new([0,10],[10,20]).to_ns_valuerect=CGRect.from_ns_value(value)
CGSize
# Initializerssize=CGSize.new(50,20)size=CGSize.make(width: 50,height: 20)# there are, for convenience, function versions of these:size=CGSize(50,20)size=CGSize([50,20])size=CGSize(width: 50,height: 20)# Getterssize_zero=CGSize.empty=>CGSize(0,0)size_zero.empty?=>true# length of the diagonalssize=CGSize.new([30,40])size.diagonal# => 50# modify width, height, or both# biggersize_zero=CGSize.emptysize_zero.grow(5)# => CGSize(5, 5)size_zero.wider(10)# => CGSize(10, 0)size_zero.taller(10)# => CGSize(0, 10)# smallersize_ten=CGSize.new(10,10)size_ten.shrink(5)# => CGSize(5, 5)size_ten.shorter(10)# => CGSize(10, 0)size_ten.thinner(10)# => CGSize(0, 10)# Operator Overloading
-size=>CGSize(-50, -20)size + CGSize.make(width: 100,height: 50)=>CGSize(150,70)size + CGPoint.make(x: 10,y: 30)=>CGRect(10,30,50,20)# Combine with CGPointsize.rect_at_pointCGPoint.make(x: 10,y: 30)=>CGRect(10,30,50,20)# convert to NSValue, for use in NSCoding or where an Objective-C object is# needed.NSValue.valueWithCGSize(CGSize.new(0,10))# =>value=CGSize.new(0,10).to_ns_valuesize=CGSize.from_ns_value(value)
CGPoint
# Initializerspoint=CGPoint.new(10,100)point=CGPoint.make(x: 10,y: 100)# there are, for convenience, function versions of these:point=CGPoint(10,100)point=CGPoint([10,100])point=CGPoint(x: 10,y: 100)# Return a modified copypoint.up(50).left(5)=>CGPoint(5,50)# original is not modified, a new point is returnedpoint.down(50).right(5)=>CGPoint(15,150)# Operator Overloading
-point=>CGPoint(-10, -100)point + CGPoint.make(x: 20,y: 40)=>CGPoint(30,140)point + CGSize.make(width: 50,height: 20)=>CGRect(10,100,50,20)# Combine with CGSizepoint.rect_of_sizeCGSize.make(width: 50,height: 20)=>CGRect(10,100,50,20)# Compare with CGRectpoint.inside?CGRect.make(x: 0,y: 0,width: 20,height: 110)=>true# Compare with origin# lengthCGPoint.new(3,4).length=>5# angleCGPoint.new(1,1).angle * 180 / Math::PI=>45.0# if you only need to *compare* lengths, use rough_length. It is faster, since# it doesn't perform the sqrt part of pythagorean's theorem.CGPoint.new(3,4).rough_length=>25# Distance to pointpoint=CGPoint.new(10,100)point.distance_to(CGPoint.make(x: 13,y:104))=>5# If you just need to know whether the points are within a certain distance, it# is faster to use distance_within? (it uses rough_length to compare the distances)point.distance_within?(5,to: CGPoint.make(x: 13,y: 104))=>true# Angle between target and receiver# (hint: our answer should be 45°)point=CGPoint.new(10,100)point.angle_to(CGPoint.make(x: 20,y:110))=>0.785398163397(pi/4)# convert to NSValue, for use in NSCoding or where an Objective-C object is# needed.NSValue.valueWithCGPoint(CGPoint.new(0,10))# =>value=CGPoint.new(0,10).to_ns_valuepoint=CGPoint.from_ns_value(value)
CGAffineTransform
These are assigned to the UIView#transform parameter. See CATransform3D for
the transforms that are designed for CALayer object.
# you *can* create it manuallytransform=CGAffineTransform.make(a: 1,b: 0,c: 0,d: 1,tx: 0,ty: 0)transform=CGAffineTransform(1,0,0,1,0,0)# but don't! the `make` method accepts `translate`, `scale`, and `rotate` argstransform=CGAffineTransform.make(scale: 2,translate: [10,10],rotate: Math::PI)# identity transform is easyCGAffineTransform.identity# just to be sureCGAffineTransform.identity.identity?# => true# Operator Overloadingtransform1=CGAffineTransform.make(scale: 2)transform2=CGAffineTransform.make(translate: [10,10])# concatenate transformstransform1 + transform2transform1 << transform2# aliastransform1 - transform2# => transform1 + -transform2# => transform1 + transform2.inverttransform1 - transform1# => CGAffineTransform.identity# create new transforms by calling `translate`, `scale`, or `rotate` as factory# methodsCGAffineTransform.translate(10,10)CGAffineTransform.scale(2)# scale x and y by 2CGAffineTransform.scale(2,4)# scale x by 2 and y by 4CGAffineTransform.rotate(Math::PI / 4)# "shearing" turns a rectangle into a parallelogram# see sceenshot below or run geomotion appCGAffineTransform.shear(0.5,0)# in x directionCGAffineTransform.shear(0,0.5)# in y direction# you can combine these, but it looks kind of strange. better to pick one# direction# or you can chain these methodsCGAffineTransform.identity.translate(10,10).scale(2).rotate(Math::PI / 4)# convert to NSValue, for use in NSCoding or where an Objective-C object is# needed.NSValue.valueWithCGAffineTransform(CGAffineTransform.translate(0,10))# =>value=CGAffineTransform.translate(0,10).to_ns_valuetransform=CGAffineTransform.from_ns_value(value)
Shearing
Shearing
CATransform3D
CALayers can take on full 3D transforms.
# these are really gnarlytransform=CATransform3D.make(m11: 1,m12: 0,m13: 0,m14: 0,m21: 0,m22: 1,m23: 0,m24: 0,m31: 0,m32: 0,m33: 1,m34: 0,m41: 0,m42: 0,m43: 0,m44: 1,)transform=CATransform3D(samethingworkshere)# accepts transforms like CGAffineTransform, but many take 3 instead of 2 argstransform=CATransform3D.make(scale: [2,2,1],translate: [10,10,10],rotate: Math::PI)# identity transformCATransform3D.identityCATransform3D.identity.identity?# => true# Operator Overloadingtransform1=CATransform3D.make(scale: 2)transform2=CATransform3D.make(translate: [10,10])# concatenate transformstransform1 + transform2transform1 << transform2# aliastransform1 - transform2# => transform1 + -transform2# => transform1 + transform2.inverttransform1 - transform1# => CATransform3D.identity# create new transforms by calling factory methodsCATransform3D.translate(10,10,10)CATransform3D.scale(2)# scale x and y by 2CATransform3D.scale(2,4,3)# scale x by 2, y by 4, z by 3CATransform3D.rotate(Math::PI / 4)# "shearing" works the same as CGAffineTransformCATransform3D.shear(0.5,0)# in x directionCATransform3D.shear(0,0.5)# in y direction# "perspective" changes are better than rotation because they make one side# bigger and one side smaller# see sceenshot below or run geomotion appCATransform3D.perspective(0.002,0)# similar to rotating around x-axisCATransform3D.perspective(0,0.002)# "rotates" around the y-axis# or you can chain these methodsCATransform3D.identity.translate(10,10,10).scale(2).rotate(Math::PI / 4)# convert to NSValue, for use in NSCoding or CAKeyframeAnimation#valuesNSValue.valueWithCATransform3D(CATransform3D.translate(0,10,0))# =>value=CATransform3D.translate(0,10,0).to_ns_valuetransform=CATransform3D.from_ns_value(value)
Perspective
Perspective
Install
  1. gem install geomotion
  2. Add require 'geomotion' in your Rakefile.
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Geomotion for RubyMotion
iOS Geometry in idiomatic Ruby. Exhaustively tested. What's not to love?
Features
  • Adds methods to return useful information, like whether a
rect.contains?(a_point), or point.distance_to(another_point)
  • Easily modify CGRects with methods like shrink_left, grow_down, below,
and many many more.
  • Easy conversion to and from NSValue (#to_ns_value and ##from_ns_value)
  • Adds nice inspect methods
  • Many operators (+, -, *)
  • CATransform3D and CGAffineTransform methods to create and concatenate transforms
  • Read on for in-depth examples!
CGRect
# Initializersrect=CGRect.new([10,100],[50,20])rect=CGRect.make(x: 10,y: 100,width: 50,height: 20)rect=CGRect.make(origin: CGPoint(0,0),size: CGSize(0,0))# there are, for convenience, function versions of these:rect=CGRect(10,100,50,20)rect=CGRect([10,100],[50,20])rect=CGRect([[10,100],[50,20]])rect=CGRect(x: 10,y: 100,w: 50,h: 20)rect=CGRect(origin: [10,100],size: [50,20])# Getters[rect.x,rect.y,rect.width,rect.height]=>[10,100,50,20]goofy_rect=CGRect.make(x: 10.1,y: 100.9,width: 50.2,height: 20.8)goofy_rect.integral=>CGRect([10.0,100.0],[51.0,22.0])rect_zero=CGRect.zerorect_zero=CGRect.empty# alias for CGRect.zero=>CGRect(0,0,0,0)rect_zero.empty?=>true# to get the center of the frame, relative to the origin or in absolute coordinatesrect.center=>CGPoint(25,10)# center relative to boundsrect.center(true)=>CGPoint(35,110)# center relative to frame# length of the diagonalsrect=CGRect.new([0,0],[30,40])rect.diagonal# => 50# Other points in the rect can be returned as well, and the same# relative/absolute return values are supported (defaults to relative)top_lefttop_center
| |
o--o--otop_right
| |
center_leftoxocenter_right
| |
o--o--obottom_right
| |
bottom_leftbottom_center# Operator Overloading
-rect=>CGRect(-10, -100, -50, -20)# union of rectsrect + CGRect.make(x: 9,y: 99,width: 10,height: 10)=>rect.union_with(CGRect.make(x: 9,y: 99,width: 10,height: 10))=>CGRect(9,99,50,20)# increases the size, but keeps the originrect + CGSize.make(width: 11,height: 1)=>CGRect(10,100,61,21)# not the same as `grow`, which grows the rect in all directions# move the rect via a pointrect + CGPoint.make(x: 10,y: 10)=>rect.offset(CGPoint.make(x: 10,y: 10))=>CGRect(20,110,50,20)# move the rect via an offsetrect + UIOffsetMake(10,10)rect.offset(UIOffsetMake(10,10))rect.offset(10,10)=>CGRect(20,110,50,20)a_point + a_size=>CGRect(a_point,a_size)# a point and a size make a rectangle. makes sense, right?# Union and Intersectionrect.union_withCGRect.make(x: 9,y: 99,width: 10,height: 10)=>CGRect(9,99,50,20)rect.intersection_withCGRect.make(x: 9,y: 99,width: 10,height: 10)=>CGRect(10,100,10,10)rect.intersects?(another_rect)=>true/false,whethertheyoverlapatallor not
rect.contains?(a_pointora_rect)=>true/false,whetherthepointorrectis *completelycontained* inthereceivingrect# Growing and shrinking# The center stays the same. Think margins!rect.grow(CGSize.make(width: 10,height: 20))=>CGRect(5,90,60,40)rect.shrink(10)=>CGRect(15,105,40,10)# Powerful layout adjustments with chainable methodsview=UIView.alloc.initWithFramerect.below.width(100).height(10)view.frame=>CGRect(10,120,100,10)view2=UIView.alloc.initWithFramerect.beside(10)view2.frame=>CGRect(70,100,50,20.0)# More examples of adjustmentsrect=CGRect.make(x: 10,y: 100,width: 50,height: 20)[rect.right(20).x,rect.left(20).x,rect.up(20).y,rect.down(20).y]=>[30, -10,80,120]# Layout "above" and "before" rectangles# (default offset is the rectangle's width or height)rect.before(5)=>CGRect(-45,100,50,20)rect.before(5,width:20)=>CGRect(-15,100,20,20)rect.above(5)=>CGRect(10,75,50,20)rect.above(5,height:10)=>CGRect(10,85,50,10)# Layout a rect relative to othersrect2=CGRect.make(x: 50,y: 50,width: 100,height: 100)rect3=CGRect.make(x:100,y: 200,width: 20,height: 20)CGRect.layout(rect,above: rect2,right_of: rect3)=>CGRect(120,30,50,20)# Also supports marginsCGRect.layout(rect,above: rect2,right_of: rect3,margins: [0,0,10,15])=>CGRect(135,20,50,20)
Relative vs Absolute
When you are positioning frames, you'll be doing so in one of two ways:
  1. Two frames relative to each other, within a common parent frame
  2. A frame being added as a child of another frame
(generally speaking)
geomotion is optimized for both cases, but the arsenal of methods is different.
frames relative to each other
Any of the location methods (up, down, left, right, beside, before, above, below)
will return a frame that is in the same coordinate system of the receiver, and
this behavior cannot be changed.
frame=CGRect.make(x: 10,y: 10,width:10,height: 10)frame.beside# => [[20, 10], [10, 10]]frame.right(30).down(5).taller(100)# => [[10+30, 10+5], [10, 10+100]]# aka# => [[40, 15], [10, 110]]
Any methods that include the x or y variable in their name will be absolute.
frame.xframe.min_xframe.max_xframe.mid_xframe.yframe.min_yframe.max_yframe.mid_y
positions relative to the frame's origin
Any of the position methods that do NOT include the x or y variable will
ignore the x and y values unless explicitly told to use absolute
coordinates.
Note: These methods will "normalize" the width and height, so even if
the width or height is negative, these methods will always return positive
numbers. If you specify absolute coordinates, the values might be negative, but
they will also be sorted (x == min, min < mid, mid < max, x + width == max).
frame=CGRect.make(x: 10,y: 10,width:10,height: 10)frame.top_left# => [0, 0]frame.top_center# => [5, 0]frame.bottom_right# => [10, 10]# use absolute coordinatesframe.top_left(true)# => [10, 10]frame.top_center(true)# => [15, 10]frame.bottom_right(true)# => [20, 20]# negative widths and heights are "corrected" when using absolute coordinatesframe=CGRect.make(x: 20,y: 20,width:-10,height: -10)frame.top_center(true)# => [15, 10]frame.bottom_right(true)# => [20, 20]
The great and powerful apply method
Most of the frame-manipulation methods delegate to the apply method. You can
use this method to perform batch changes.
frame=view.frame.apply(left: 10,y: 0,wider: 50,grow_height: 10)
All of the methods that return a new frame (left, shrink, below and friends)
also accept a hash in which you can apply more changes. You can accomplish the
same thing using method chaining; this is an implementation detail that might
also clean your code up by grouping changes.
frame=CGRect.make(x: 10,y: 10,width:10,height: 10)frame.beside.width(20).down(10).height(20)# => [[20, 20], [20, 20]]# using the options hash / apply methodframe.beside(width: 20,down: 10,height: 20)# => [[20, 20], [20, 20]]frame.below(grow_width: 10,grow_up: 5)# => [[0, 15], [40, 25]]# convert to NSValue, for use in NSCoding or where an Objective-C object is# needed. CGRect is a "boxed" object in RubyMotion, and in Objective-C it is a# C-struct and so can't be stored in an NSArray, for example.NSValue.valueWithCGRect(CGRect.new([0,10],[10,20]))# =>value=CGRect.new([0,10],[10,20]).to_ns_valuerect=CGRect.from_ns_value(value)
CGSize
# Initializerssize=CGSize.new(50,20)size=CGSize.make(width: 50,height: 20)# there are, for convenience, function versions of these:size=CGSize(50,20)size=CGSize([50,20])size=CGSize(width: 50,height: 20)# Getterssize_zero=CGSize.empty=>CGSize(0,0)size_zero.empty?=>true# length of the diagonalssize=CGSize.new([30,40])size.diagonal# => 50# modify width, height, or both# biggersize_zero=CGSize.emptysize_zero.grow(5)# => CGSize(5, 5)size_zero.wider(10)# => CGSize(10, 0)size_zero.taller(10)# => CGSize(0, 10)# smallersize_ten=CGSize.new(10,10)size_ten.shrink(5)# => CGSize(5, 5)size_ten.shorter(10)# => CGSize(10, 0)size_ten.thinner(10)# => CGSize(0, 10)# Operator Overloading
-size=>CGSize(-50, -20)size + CGSize.make(width: 100,height: 50)=>CGSize(150,70)size + CGPoint.make(x: 10,y: 30)=>CGRect(10,30,50,20)# Combine with CGPointsize.rect_at_pointCGPoint.make(x: 10,y: 30)=>CGRect(10,30,50,20)# convert to NSValue, for use in NSCoding or where an Objective-C object is# needed.NSValue.valueWithCGSize(CGSize.new(0,10))# =>value=CGSize.new(0,10).to_ns_valuesize=CGSize.from_ns_value(value)
CGPoint
# Initializerspoint=CGPoint.new(10,100)point=CGPoint.make(x: 10,y: 100)# there are, for convenience, function versions of these:point=CGPoint(10,100)point=CGPoint([10,100])point=CGPoint(x: 10,y: 100)# Return a modified copypoint.up(50).left(5)=>CGPoint(5,50)# original is not modified, a new point is returnedpoint.down(50).right(5)=>CGPoint(15,150)# Operator Overloading
-point=>CGPoint(-10, -100)point + CGPoint.make(x: 20,y: 40)=>CGPoint(30,140)point + CGSize.make(width: 50,height: 20)=>CGRect(10,100,50,20)# Combine with CGSizepoint.rect_of_sizeCGSize.make(width: 50,height: 20)=>CGRect(10,100,50,20)# Compare with CGRectpoint.inside?CGRect.make(x: 0,y: 0,width: 20,height: 110)=>true# Compare with origin# lengthCGPoint.new(3,4).length=>5# angleCGPoint.new(1,1).angle * 180 / Math::PI=>45.0# if you only need to *compare* lengths, use rough_length. It is faster, since# it doesn't perform the sqrt part of pythagorean's theorem.CGPoint.new(3,4).rough_length=>25# Distance to pointpoint=CGPoint.new(10,100)point.distance_to(CGPoint.make(x: 13,y:104))=>5# If you just need to know whether the points are within a certain distance, it# is faster to use distance_within? (it uses rough_length to compare the distances)point.distance_within?(5,to: CGPoint.make(x: 13,y: 104))=>true# Angle between target and receiver# (hint: our answer should be 45°)point=CGPoint.new(10,100)point.angle_to(CGPoint.make(x: 20,y:110))=>0.785398163397(pi/4)# convert to NSValue, for use in NSCoding or where an Objective-C object is# needed.NSValue.valueWithCGPoint(CGPoint.new(0,10))# =>value=CGPoint.new(0,10).to_ns_valuepoint=CGPoint.from_ns_value(value)
CGAffineTransform
These are assigned to the UIView#transform parameter. See CATransform3D for
the transforms that are designed for CALayer object.
# you *can* create it manuallytransform=CGAffineTransform.make(a: 1,b: 0,c: 0,d: 1,tx: 0,ty: 0)transform=CGAffineTransform(1,0,0,1,0,0)# but don't! the `make` method accepts `translate`, `scale`, and `rotate` argstransform=CGAffineTransform.make(scale: 2,translate: [10,10],rotate: Math::PI)# identity transform is easyCGAffineTransform.identity# just to be sureCGAffineTransform.identity.identity?# => true# Operator Overloadingtransform1=CGAffineTransform.make(scale: 2)transform2=CGAffineTransform.make(translate: [10,10])# concatenate transformstransform1 + transform2transform1 << transform2# aliastransform1 - transform2# => transform1 + -transform2# => transform1 + transform2.inverttransform1 - transform1# => CGAffineTransform.identity# create new transforms by calling `translate`, `scale`, or `rotate` as factory# methodsCGAffineTransform.translate(10,10)CGAffineTransform.scale(2)# scale x and y by 2CGAffineTransform.scale(2,4)# scale x by 2 and y by 4CGAffineTransform.rotate(Math::PI / 4)# "shearing" turns a rectangle into a parallelogram# see sceenshot below or run geomotion appCGAffineTransform.shear(0.5,0)# in x directionCGAffineTransform.shear(0,0.5)# in y direction# you can combine these, but it looks kind of strange. better to pick one# direction# or you can chain these methodsCGAffineTransform.identity.translate(10,10).scale(2).rotate(Math::PI / 4)# convert to NSValue, for use in NSCoding or where an Objective-C object is# needed.NSValue.valueWithCGAffineTransform(CGAffineTransform.translate(0,10))# =>value=CGAffineTransform.translate(0,10).to_ns_valuetransform=CGAffineTransform.from_ns_value(value)
Shearing
Shearing
CATransform3D
CALayers can take on full 3D transforms.
# these are really gnarlytransform=CATransform3D.make(m11: 1,m12: 0,m13: 0,m14: 0,m21: 0,m22: 1,m23: 0,m24: 0,m31: 0,m32: 0,m33: 1,m34: 0,m41: 0,m42: 0,m43: 0,m44: 1,)transform=CATransform3D(samethingworkshere)# accepts transforms like CGAffineTransform, but many take 3 instead of 2 argstransform=CATransform3D.make(scale: [2,2,1],translate: [10,10,10],rotate: Math::PI)# identity transformCATransform3D.identityCATransform3D.identity.identity?# => true# Operator Overloadingtransform1=CATransform3D.make(scale: 2)transform2=CATransform3D.make(translate: [10,10])# concatenate transformstransform1 + transform2transform1 << transform2# aliastransform1 - transform2# => transform1 + -transform2# => transform1 + transform2.inverttransform1 - transform1# => CATransform3D.identity# create new transforms by calling factory methodsCATransform3D.translate(10,10,10)CATransform3D.scale(2)# scale x and y by 2CATransform3D.scale(2,4,3)# scale x by 2, y by 4, z by 3CATransform3D.rotate(Math::PI / 4)# "shearing" works the same as CGAffineTransformCATransform3D.shear(0.5,0)# in x directionCATransform3D.shear(0,0.5)# in y direction# "perspective" changes are better than rotation because they make one side# bigger and one side smaller# see sceenshot below or run geomotion appCATransform3D.perspective(0.002,0)# similar to rotating around x-axisCATransform3D.perspective(0,0.002)# "rotates" around the y-axis# or you can chain these methodsCATransform3D.identity.translate(10,10,10).scale(2).rotate(Math::PI / 4)# convert to NSValue, for use in NSCoding or CAKeyframeAnimation#valuesNSValue.valueWithCATransform3D(CATransform3D.translate(0,10,0))# =>value=CATransform3D.translate(0,10,0).to_ns_valuetransform=CATransform3D.from_ns_value(value)
Perspective
Perspective
Install
  1. gem install geomotion
  2. Add require 'geomotion' in your Rakefile.
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Geomotion for RubyMotion
iOS Geometry in idiomatic Ruby. Exhaustively tested. What's not to love?
Features
  • Adds methods to return useful information, like whether a
rect.contains?(a_point), or point.distance_to(another_point)
  • Easily modify CGRects with methods like shrink_left, grow_down, below,
and many many more.
  • Easy conversion to and from NSValue (#to_ns_value and ##from_ns_value)
  • Adds nice inspect methods
  • Many operators (+, -, *)
  • CATransform3D and CGAffineTransform methods to create and concatenate transforms
  • Read on for in-depth examples!
CGRect
# Initializersrect=CGRect.new([10,100],[50,20])rect=CGRect.make(x: 10,y: 100,width: 50,height: 20)rect=CGRect.make(origin: CGPoint(0,0),size: CGSize(0,0))# there are, for convenience, function versions of these:rect=CGRect(10,100,50,20)rect=CGRect([10,100],[50,20])rect=CGRect([[10,100],[50,20]])rect=CGRect(x: 10,y: 100,w: 50,h: 20)rect=CGRect(origin: [10,100],size: [50,20])# Getters[rect.x,rect.y,rect.width,rect.height]=>[10,100,50,20]goofy_rect=CGRect.make(x: 10.1,y: 100.9,width: 50.2,height: 20.8)goofy_rect.integral=>CGRect([10.0,100.0],[51.0,22.0])rect_zero=CGRect.zerorect_zero=CGRect.empty# alias for CGRect.zero=>CGRect(0,0,0,0)rect_zero.empty?=>true# to get the center of the frame, relative to the origin or in absolute coordinatesrect.center=>CGPoint(25,10)# center relative to boundsrect.center(true)=>CGPoint(35,110)# center relative to frame# length of the diagonalsrect=CGRect.new([0,0],[30,40])rect.diagonal# => 50# Other points in the rect can be returned as well, and the same# relative/absolute return values are supported (defaults to relative)top_lefttop_center
| |
o--o--otop_right
| |
center_leftoxocenter_right
| |
o--o--obottom_right
| |
bottom_leftbottom_center# Operator Overloading
-rect=>CGRect(-10, -100, -50, -20)# union of rectsrect + CGRect.make(x: 9,y: 99,width: 10,height: 10)=>rect.union_with(CGRect.make(x: 9,y: 99,width: 10,height: 10))=>CGRect(9,99,50,20)# increases the size, but keeps the originrect + CGSize.make(width: 11,height: 1)=>CGRect(10,100,61,21)# not the same as `grow`, which grows the rect in all directions# move the rect via a pointrect + CGPoint.make(x: 10,y: 10)=>rect.offset(CGPoint.make(x: 10,y: 10))=>CGRect(20,110,50,20)# move the rect via an offsetrect + UIOffsetMake(10,10)rect.offset(UIOffsetMake(10,10))rect.offset(10,10)=>CGRect(20,110,50,20)a_point + a_size=>CGRect(a_point,a_size)# a point and a size make a rectangle. makes sense, right?# Union and Intersectionrect.union_withCGRect.make(x: 9,y: 99,width: 10,height: 10)=>CGRect(9,99,50,20)rect.intersection_withCGRect.make(x: 9,y: 99,width: 10,height: 10)=>CGRect(10,100,10,10)rect.intersects?(another_rect)=>true/false,whethertheyoverlapatallor not
rect.contains?(a_pointora_rect)=>true/false,whetherthepointorrectis *completelycontained* inthereceivingrect# Growing and shrinking# The center stays the same. Think margins!rect.grow(CGSize.make(width: 10,height: 20))=>CGRect(5,90,60,40)rect.shrink(10)=>CGRect(15,105,40,10)# Powerful layout adjustments with chainable methodsview=UIView.alloc.initWithFramerect.below.width(100).height(10)view.frame=>CGRect(10,120,100,10)view2=UIView.alloc.initWithFramerect.beside(10)view2.frame=>CGRect(70,100,50,20.0)# More examples of adjustmentsrect=CGRect.make(x: 10,y: 100,width: 50,height: 20)[rect.right(20).x,rect.left(20).x,rect.up(20).y,rect.down(20).y]=>[30, -10,80,120]# Layout "above" and "before" rectangles# (default offset is the rectangle's width or height)rect.before(5)=>CGRect(-45,100,50,20)rect.before(5,width:20)=>CGRect(-15,100,20,20)rect.above(5)=>CGRect(10,75,50,20)rect.above(5,height:10)=>CGRect(10,85,50,10)# Layout a rect relative to othersrect2=CGRect.make(x: 50,y: 50,width: 100,height: 100)rect3=CGRect.make(x:100,y: 200,width: 20,height: 20)CGRect.layout(rect,above: rect2,right_of: rect3)=>CGRect(120,30,50,20)# Also supports marginsCGRect.layout(rect,above: rect2,right_of: rect3,margins: [0,0,10,15])=>CGRect(135,20,50,20)
Relative vs Absolute
When you are positioning frames, you'll be doing so in one of two ways:
  1. Two frames relative to each other, within a common parent frame
  2. A frame being added as a child of another frame
(generally speaking)
geomotion is optimized for both cases, but the arsenal of methods is different.
frames relative to each other
Any of the location methods (up, down, left, right, beside, before, above, below)
will return a frame that is in the same coordinate system of the receiver, and
this behavior cannot be changed.
frame=CGRect.make(x: 10,y: 10,width:10,height: 10)frame.beside# => [[20, 10], [10, 10]]frame.right(30).down(5).taller(100)# => [[10+30, 10+5], [10, 10+100]]# aka# => [[40, 15], [10, 110]]
Any methods that include the x or y variable in their name will be absolute.
frame.xframe.min_xframe.max_xframe.mid_xframe.yframe.min_yframe.max_yframe.mid_y
positions relative to the frame's origin
Any of the position methods that do NOT include the x or y variable will
ignore the x and y values unless explicitly told to use absolute
coordinates.
Note: These methods will "normalize" the width and height, so even if
the width or height is negative, these methods will always return positive
numbers. If you specify absolute coordinates, the values might be negative, but
they will also be sorted (x == min, min < mid, mid < max, x + width == max).
frame=CGRect.make(x: 10,y: 10,width:10,height: 10)frame.top_left# => [0, 0]frame.top_center# => [5, 0]frame.bottom_right# => [10, 10]# use absolute coordinatesframe.top_left(true)# => [10, 10]frame.top_center(true)# => [15, 10]frame.bottom_right(true)# => [20, 20]# negative widths and heights are "corrected" when using absolute coordinatesframe=CGRect.make(x: 20,y: 20,width:-10,height: -10)frame.top_center(true)# => [15, 10]frame.bottom_right(true)# => [20, 20]
The great and powerful apply method
Most of the frame-manipulation methods delegate to the apply method. You can
use this method to perform batch changes.
frame=view.frame.apply(left: 10,y: 0,wider: 50,grow_height: 10)
All of the methods that return a new frame (left, shrink, below and friends)
also accept a hash in which you can apply more changes. You can accomplish the
same thing using method chaining; this is an implementation detail that might
also clean your code up by grouping changes.
frame=CGRect.make(x: 10,y: 10,width:10,height: 10)frame.beside.width(20).down(10).height(20)# => [[20, 20], [20, 20]]# using the options hash / apply methodframe.beside(width: 20,down: 10,height: 20)# => [[20, 20], [20, 20]]frame.below(grow_width: 10,grow_up: 5)# => [[0, 15], [40, 25]]# convert to NSValue, for use in NSCoding or where an Objective-C object is# needed. CGRect is a "boxed" object in RubyMotion, and in Objective-C it is a# C-struct and so can't be stored in an NSArray, for example.NSValue.valueWithCGRect(CGRect.new([0,10],[10,20]))# =>value=CGRect.new([0,10],[10,20]).to_ns_valuerect=CGRect.from_ns_value(value)
CGSize
# Initializerssize=CGSize.new(50,20)size=CGSize.make(width: 50,height: 20)# there are, for convenience, function versions of these:size=CGSize(50,20)size=CGSize([50,20])size=CGSize(width: 50,height: 20)# Getterssize_zero=CGSize.empty=>CGSize(0,0)size_zero.empty?=>true# length of the diagonalssize=CGSize.new([30,40])size.diagonal# => 50# modify width, height, or both# biggersize_zero=CGSize.emptysize_zero.grow(5)# => CGSize(5, 5)size_zero.wider(10)# => CGSize(10, 0)size_zero.taller(10)# => CGSize(0, 10)# smallersize_ten=CGSize.new(10,10)size_ten.shrink(5)# => CGSize(5, 5)size_ten.shorter(10)# => CGSize(10, 0)size_ten.thinner(10)# => CGSize(0, 10)# Operator Overloading
-size=>CGSize(-50, -20)size + CGSize.make(width: 100,height: 50)=>CGSize(150,70)size + CGPoint.make(x: 10,y: 30)=>CGRect(10,30,50,20)# Combine with CGPointsize.rect_at_pointCGPoint.make(x: 10,y: 30)=>CGRect(10,30,50,20)# convert to NSValue, for use in NSCoding or where an Objective-C object is# needed.NSValue.valueWithCGSize(CGSize.new(0,10))# =>value=CGSize.new(0,10).to_ns_valuesize=CGSize.from_ns_value(value)
CGPoint
# Initializerspoint=CGPoint.new(10,100)point=CGPoint.make(x: 10,y: 100)# there are, for convenience, function versions of these:point=CGPoint(10,100)point=CGPoint([10,100])point=CGPoint(x: 10,y: 100)# Return a modified copypoint.up(50).left(5)=>CGPoint(5,50)# original is not modified, a new point is returnedpoint.down(50).right(5)=>CGPoint(15,150)# Operator Overloading
-point=>CGPoint(-10, -100)point + CGPoint.make(x: 20,y: 40)=>CGPoint(30,140)point + CGSize.make(width: 50,height: 20)=>CGRect(10,100,50,20)# Combine with CGSizepoint.rect_of_sizeCGSize.make(width: 50,height: 20)=>CGRect(10,100,50,20)# Compare with CGRectpoint.inside?CGRect.make(x: 0,y: 0,width: 20,height: 110)=>true# Compare with origin# lengthCGPoint.new(3,4).length=>5# angleCGPoint.new(1,1).angle * 180 / Math::PI=>45.0# if you only need to *compare* lengths, use rough_length. It is faster, since# it doesn't perform the sqrt part of pythagorean's theorem.CGPoint.new(3,4).rough_length=>25# Distance to pointpoint=CGPoint.new(10,100)point.distance_to(CGPoint.make(x: 13,y:104))=>5# If you just need to know whether the points are within a certain distance, it# is faster to use distance_within? (it uses rough_length to compare the distances)point.distance_within?(5,to: CGPoint.make(x: 13,y: 104))=>true# Angle between target and receiver# (hint: our answer should be 45°)point=CGPoint.new(10,100)point.angle_to(CGPoint.make(x: 20,y:110))=>0.785398163397(pi/4)# convert to NSValue, for use in NSCoding or where an Objective-C object is# needed.NSValue.valueWithCGPoint(CGPoint.new(0,10))# =>value=CGPoint.new(0,10).to_ns_valuepoint=CGPoint.from_ns_value(value)
CGAffineTransform
These are assigned to the UIView#transform parameter. See CATransform3D for
the transforms that are designed for CALayer object.
# you *can* create it manuallytransform=CGAffineTransform.make(a: 1,b: 0,c: 0,d: 1,tx: 0,ty: 0)transform=CGAffineTransform(1,0,0,1,0,0)# but don't! the `make` method accepts `translate`, `scale`, and `rotate` argstransform=CGAffineTransform.make(scale: 2,translate: [10,10],rotate: Math::PI)# identity transform is easyCGAffineTransform.identity# just to be sureCGAffineTransform.identity.identity?# => true# Operator Overloadingtransform1=CGAffineTransform.make(scale: 2)transform2=CGAffineTransform.make(translate: [10,10])# concatenate transformstransform1 + transform2transform1 << transform2# aliastransform1 - transform2# => transform1 + -transform2# => transform1 + transform2.inverttransform1 - transform1# => CGAffineTransform.identity# create new transforms by calling `translate`, `scale`, or `rotate` as factory# methodsCGAffineTransform.translate(10,10)CGAffineTransform.scale(2)# scale x and y by 2CGAffineTransform.scale(2,4)# scale x by 2 and y by 4CGAffineTransform.rotate(Math::PI / 4)# "shearing" turns a rectangle into a parallelogram# see sceenshot below or run geomotion appCGAffineTransform.shear(0.5,0)# in x directionCGAffineTransform.shear(0,0.5)# in y direction# you can combine these, but it looks kind of strange. better to pick one# direction# or you can chain these methodsCGAffineTransform.identity.translate(10,10).scale(2).rotate(Math::PI / 4)# convert to NSValue, for use in NSCoding or where an Objective-C object is# needed.NSValue.valueWithCGAffineTransform(CGAffineTransform.translate(0,10))# =>value=CGAffineTransform.translate(0,10).to_ns_valuetransform=CGAffineTransform.from_ns_value(value)
Shearing
Shearing
CATransform3D
CALayers can take on full 3D transforms.
# these are really gnarlytransform=CATransform3D.make(m11: 1,m12: 0,m13: 0,m14: 0,m21: 0,m22: 1,m23: 0,m24: 0,m31: 0,m32: 0,m33: 1,m34: 0,m41: 0,m42: 0,m43: 0,m44: 1,)transform=CATransform3D(samethingworkshere)# accepts transforms like CGAffineTransform, but many take 3 instead of 2 argstransform=CATransform3D.make(scale: [2,2,1],translate: [10,10,10],rotate: Math::PI)# identity transformCATransform3D.identityCATransform3D.identity.identity?# => true# Operator Overloadingtransform1=CATransform3D.make(scale: 2)transform2=CATransform3D.make(translate: [10,10])# concatenate transformstransform1 + transform2transform1 << transform2# aliastransform1 - transform2# => transform1 + -transform2# => transform1 + transform2.inverttransform1 - transform1# => CATransform3D.identity# create new transforms by calling factory methodsCATransform3D.translate(10,10,10)CATransform3D.scale(2)# scale x and y by 2CATransform3D.scale(2,4,3)# scale x by 2, y by 4, z by 3CATransform3D.rotate(Math::PI / 4)# "shearing" works the same as CGAffineTransformCATransform3D.shear(0.5,0)# in x directionCATransform3D.shear(0,0.5)# in y direction# "perspective" changes are better than rotation because they make one side# bigger and one side smaller# see sceenshot below or run geomotion appCATransform3D.perspective(0.002,0)# similar to rotating around x-axisCATransform3D.perspective(0,0.002)# "rotates" around the y-axis# or you can chain these methodsCATransform3D.identity.translate(10,10,10).scale(2).rotate(Math::PI / 4)# convert to NSValue, for use in NSCoding or CAKeyframeAnimation#valuesNSValue.valueWithCATransform3D(CATransform3D.translate(0,10,0))# =>value=CATransform3D.translate(0,10,0).to_ns_valuetransform=CATransform3D.from_ns_value(value)
Perspective
Perspective
Install
  1. gem install geomotion
  2. Add require 'geomotion' in your Rakefile.
Forking
If you have cool/better ideas, pull-request away!
About
Better iOS Geometry with RubyMotion
Resources
Readme
MIT license
Activity
Stars
90 stars
Watchers
5 watching
Forks
7 forks
Report repository
Releases
Packages
Used by
Contributors
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Geomotion for RubyMotion
iOS Geometry in idiomatic Ruby. Exhaustively tested. What's not to love?
Features
  • Adds methods to return useful information, like whether a
rect.contains?(a_point), or point.distance_to(another_point)
  • Easily modify CGRects with methods like shrink_left, grow_down, below,
and many many more.
  • Easy conversion to and from NSValue (#to_ns_value and ##from_ns_value)
  • Adds nice inspect methods
  • Many operators (+, -, *)
  • CATransform3D and CGAffineTransform methods to create and concatenate transforms
  • Read on for in-depth examples!
CGRect
# Initializersrect=CGRect.new([10,100],[50,20])rect=CGRect.make(x: 10,y: 100,width: 50,height: 20)rect=CGRect.make(origin: CGPoint(0,0),size: CGSize(0,0))# there are, for convenience, function versions of these:rect=CGRect(10,100,50,20)rect=CGRect([10,100],[50,20])rect=CGRect([[10,100],[50,20]])rect=CGRect(x: 10,y: 100,w: 50,h: 20)rect=CGRect(origin: [10,100],size: [50,20])# Getters[rect.x,rect.y,rect.width,rect.height]=>[10,100,50,20]goofy_rect=CGRect.make(x: 10.1,y: 100.9,width: 50.2,height: 20.8)goofy_rect.integral=>CGRect([10.0,100.0],[51.0,22.0])rect_zero=CGRect.zerorect_zero=CGRect.empty# alias for CGRect.zero=>CGRect(0,0,0,0)rect_zero.empty?=>true# to get the center of the frame, relative to the origin or in absolute coordinatesrect.center=>CGPoint(25,10)# center relative to boundsrect.center(true)=>CGPoint(35,110)# center relative to frame# length of the diagonalsrect=CGRect.new([0,0],[30,40])rect.diagonal# => 50# Other points in the rect can be returned as well, and the same# relative/absolute return values are supported (defaults to relative)top_lefttop_center
| |
o--o--otop_right
| |
center_leftoxocenter_right
| |
o--o--obottom_right
| |
bottom_leftbottom_center# Operator Overloading
-rect=>CGRect(-10, -100, -50, -20)# union of rectsrect + CGRect.make(x: 9,y: 99,width: 10,height: 10)=>rect.union_with(CGRect.make(x: 9,y: 99,width: 10,height: 10))=>CGRect(9,99,50,20)# increases the size, but keeps the originrect + CGSize.make(width: 11,height: 1)=>CGRect(10,100,61,21)# not the same as `grow`, which grows the rect in all directions# move the rect via a pointrect + CGPoint.make(x: 10,y: 10)=>rect.offset(CGPoint.make(x: 10,y: 10))=>CGRect(20,110,50,20)# move the rect via an offsetrect + UIOffsetMake(10,10)rect.offset(UIOffsetMake(10,10))rect.offset(10,10)=>CGRect(20,110,50,20)a_point + a_size=>CGRect(a_point,a_size)# a point and a size make a rectangle. makes sense, right?# Union and Intersectionrect.union_withCGRect.make(x: 9,y: 99,width: 10,height: 10)=>CGRect(9,99,50,20)rect.intersection_withCGRect.make(x: 9,y: 99,width: 10,height: 10)=>CGRect(10,100,10,10)rect.intersects?(another_rect)=>true/false,whethertheyoverlapatallor not
rect.contains?(a_pointora_rect)=>true/false,whetherthepointorrectis *completelycontained* inthereceivingrect# Growing and shrinking# The center stays the same. Think margins!rect.grow(CGSize.make(width: 10,height: 20))=>CGRect(5,90,60,40)rect.shrink(10)=>CGRect(15,105,40,10)# Powerful layout adjustments with chainable methodsview=UIView.alloc.initWithFramerect.below.width(100).height(10)view.frame=>CGRect(10,120,100,10)view2=UIView.alloc.initWithFramerect.beside(10)view2.frame=>CGRect(70,100,50,20.0)# More examples of adjustmentsrect=CGRect.make(x: 10,y: 100,width: 50,height: 20)[rect.right(20).x,rect.left(20).x,rect.up(20).y,rect.down(20).y]=>[30, -10,80,120]# Layout "above" and "before" rectangles# (default offset is the rectangle's width or height)rect.before(5)=>CGRect(-45,100,50,20)rect.before(5,width:20)=>CGRect(-15,100,20,20)rect.above(5)=>CGRect(10,75,50,20)rect.above(5,height:10)=>CGRect(10,85,50,10)# Layout a rect relative to othersrect2=CGRect.make(x: 50,y: 50,width: 100,height: 100)rect3=CGRect.make(x:100,y: 200,width: 20,height: 20)CGRect.layout(rect,above: rect2,right_of: rect3)=>CGRect(120,30,50,20)# Also supports marginsCGRect.layout(rect,above: rect2,right_of: rect3,margins: [0,0,10,15])=>CGRect(135,20,50,20)
Relative vs Absolute
When you are positioning frames, you'll be doing so in one of two ways:
  1. Two frames relative to each other, within a common parent frame
  2. A frame being added as a child of another frame
(generally speaking)
geomotion is optimized for both cases, but the arsenal of methods is different.
frames relative to each other
Any of the location methods (up, down, left, right, beside, before, above, below)
will return a frame that is in the same coordinate system of the receiver, and
this behavior cannot be changed.
frame=CGRect.make(x: 10,y: 10,width:10,height: 10)frame.beside# => [[20, 10], [10, 10]]frame.right(30).down(5).taller(100)# => [[10+30, 10+5], [10, 10+100]]# aka# => [[40, 15], [10, 110]]
Any methods that include the x or y variable in their name will be absolute.
frame.xframe.min_xframe.max_xframe.mid_xframe.yframe.min_yframe.max_yframe.mid_y
positions relative to the frame's origin
Any of the position methods that do NOT include the x or y variable will
ignore the x and y values unless explicitly told to use absolute
coordinates.
Note: These methods will "normalize" the width and height, so even if
the width or height is negative, these methods will always return positive
numbers. If you specify absolute coordinates, the values might be negative, but
they will also be sorted (x == min, min < mid, mid < max, x + width == max).
frame=CGRect.make(x: 10,y: 10,width:10,height: 10)frame.top_left# => [0, 0]frame.top_center# => [5, 0]frame.bottom_right# => [10, 10]# use absolute coordinatesframe.top_left(true)# => [10, 10]frame.top_center(true)# => [15, 10]frame.bottom_right(true)# => [20, 20]# negative widths and heights are "corrected" when using absolute coordinatesframe=CGRect.make(x: 20,y: 20,width:-10,height: -10)frame.top_center(true)# => [15, 10]frame.bottom_right(true)# => [20, 20]
The great and powerful apply method
Most of the frame-manipulation methods delegate to the apply method. You can
use this method to perform batch changes.
frame=view.frame.apply(left: 10,y: 0,wider: 50,grow_height: 10)
All of the methods that return a new frame (left, shrink, below and friends)
also accept a hash in which you can apply more changes. You can accomplish the
same thing using method chaining; this is an implementation detail that might
also clean your code up by grouping changes.
frame=CGRect.make(x: 10,y: 10,width:10,height: 10)frame.beside.width(20).down(10).height(20)# => [[20, 20], [20, 20]]# using the options hash / apply methodframe.beside(width: 20,down: 10,height: 20)# => [[20, 20], [20, 20]]frame.below(grow_width: 10,grow_up: 5)# => [[0, 15], [40, 25]]# convert to NSValue, for use in NSCoding or where an Objective-C object is# needed. CGRect is a "boxed" object in RubyMotion, and in Objective-C it is a# C-struct and so can't be stored in an NSArray, for example.NSValue.valueWithCGRect(CGRect.new([0,10],[10,20]))# =>value=CGRect.new([0,10],[10,20]).to_ns_valuerect=CGRect.from_ns_value(value)
CGSize
# Initializerssize=CGSize.new(50,20)size=CGSize.make(width: 50,height: 20)# there are, for convenience, function versions of these:size=CGSize(50,20)size=CGSize([50,20])size=CGSize(width: 50,height: 20)# Getterssize_zero=CGSize.empty=>CGSize(0,0)size_zero.empty?=>true# length of the diagonalssize=CGSize.new([30,40])size.diagonal# => 50# modify width, height, or both# biggersize_zero=CGSize.emptysize_zero.grow(5)# => CGSize(5, 5)size_zero.wider(10)# => CGSize(10, 0)size_zero.taller(10)# => CGSize(0, 10)# smallersize_ten=CGSize.new(10,10)size_ten.shrink(5)# => CGSize(5, 5)size_ten.shorter(10)# => CGSize(10, 0)size_ten.thinner(10)# => CGSize(0, 10)# Operator Overloading
-size=>CGSize(-50, -20)size + CGSize.make(width: 100,height: 50)=>CGSize(150,70)size + CGPoint.make(x: 10,y: 30)=>CGRect(10,30,50,20)# Combine with CGPointsize.rect_at_pointCGPoint.make(x: 10,y: 30)=>CGRect(10,30,50,20)# convert to NSValue, for use in NSCoding or where an Objective-C object is# needed.NSValue.valueWithCGSize(CGSize.new(0,10))# =>value=CGSize.new(0,10).to_ns_valuesize=CGSize.from_ns_value(value)
CGPoint
# Initializerspoint=CGPoint.new(10,100)point=CGPoint.make(x: 10,y: 100)# there are, for convenience, function versions of these:point=CGPoint(10,100)point=CGPoint([10,100])point=CGPoint(x: 10,y: 100)# Return a modified copypoint.up(50).left(5)=>CGPoint(5,50)# original is not modified, a new point is returnedpoint.down(50).right(5)=>CGPoint(15,150)# Operator Overloading
-point=>CGPoint(-10, -100)point + CGPoint.make(x: 20,y: 40)=>CGPoint(30,140)point + CGSize.make(width: 50,height: 20)=>CGRect(10,100,50,20)# Combine with CGSizepoint.rect_of_sizeCGSize.make(width: 50,height: 20)=>CGRect(10,100,50,20)# Compare with CGRectpoint.inside?CGRect.make(x: 0,y: 0,width: 20,height: 110)=>true# Compare with origin# lengthCGPoint.new(3,4).length=>5# angleCGPoint.new(1,1).angle * 180 / Math::PI=>45.0# if you only need to *compare* lengths, use rough_length. It is faster, since# it doesn't perform the sqrt part of pythagorean's theorem.CGPoint.new(3,4).rough_length=>25# Distance to pointpoint=CGPoint.new(10,100)point.distance_to(CGPoint.make(x: 13,y:104))=>5# If you just need to know whether the points are within a certain distance, it# is faster to use distance_within? (it uses rough_length to compare the distances)point.distance_within?(5,to: CGPoint.make(x: 13,y: 104))=>true# Angle between target and receiver# (hint: our answer should be 45°)point=CGPoint.new(10,100)point.angle_to(CGPoint.make(x: 20,y:110))=>0.785398163397(pi/4)# convert to NSValue, for use in NSCoding or where an Objective-C object is# needed.NSValue.valueWithCGPoint(CGPoint.new(0,10))# =>value=CGPoint.new(0,10).to_ns_valuepoint=CGPoint.from_ns_value(value)
CGAffineTransform
These are assigned to the UIView#transform parameter. See CATransform3D for
the transforms that are designed for CALayer object.
# you *can* create it manuallytransform=CGAffineTransform.make(a: 1,b: 0,c: 0,d: 1,tx: 0,ty: 0)transform=CGAffineTransform(1,0,0,1,0,0)# but don't! the `make` method accepts `translate`, `scale`, and `rotate` argstransform=CGAffineTransform.make(scale: 2,translate: [10,10],rotate: Math::PI)# identity transform is easyCGAffineTransform.identity# just to be sureCGAffineTransform.identity.identity?# => true# Operator Overloadingtransform1=CGAffineTransform.make(scale: 2)transform2=CGAffineTransform.make(translate: [10,10])# concatenate transformstransform1 + transform2transform1 << transform2# aliastransform1 - transform2# => transform1 + -transform2# => transform1 + transform2.inverttransform1 - transform1# => CGAffineTransform.identity# create new transforms by calling `translate`, `scale`, or `rotate` as factory# methodsCGAffineTransform.translate(10,10)CGAffineTransform.scale(2)# scale x and y by 2CGAffineTransform.scale(2,4)# scale x by 2 and y by 4CGAffineTransform.rotate(Math::PI / 4)# "shearing" turns a rectangle into a parallelogram# see sceenshot below or run geomotion appCGAffineTransform.shear(0.5,0)# in x directionCGAffineTransform.shear(0,0.5)# in y direction# you can combine these, but it looks kind of strange. better to pick one# direction# or you can chain these methodsCGAffineTransform.identity.translate(10,10).scale(2).rotate(Math::PI / 4)# convert to NSValue, for use in NSCoding or where an Objective-C object is# needed.NSValue.valueWithCGAffineTransform(CGAffineTransform.translate(0,10))# =>value=CGAffineTransform.translate(0,10).to_ns_valuetransform=CGAffineTransform.from_ns_value(value)
Shearing
Shearing
CATransform3D
CALayers can take on full 3D transforms.
# these are really gnarlytransform=CATransform3D.make(m11: 1,m12: 0,m13: 0,m14: 0,m21: 0,m22: 1,m23: 0,m24: 0,m31: 0,m32: 0,m33: 1,m34: 0,m41: 0,m42: 0,m43: 0,m44: 1,)transform=CATransform3D(samethingworkshere)# accepts transforms like CGAffineTransform, but many take 3 instead of 2 argstransform=CATransform3D.make(scale: [2,2,1],translate: [10,10,10],rotate: Math::PI)# identity transformCATransform3D.identityCATransform3D.identity.identity?# => true# Operator Overloadingtransform1=CATransform3D.make(scale: 2)transform2=CATransform3D.make(translate: [10,10])# concatenate transformstransform1 + transform2transform1 << transform2# aliastransform1 - transform2# => transform1 + -transform2# => transform1 + transform2.inverttransform1 - transform1# => CATransform3D.identity# create new transforms by calling factory methodsCATransform3D.translate(10,10,10)CATransform3D.scale(2)# scale x and y by 2CATransform3D.scale(2,4,3)# scale x by 2, y by 4, z by 3CATransform3D.rotate(Math::PI / 4)# "shearing" works the same as CGAffineTransformCATransform3D.shear(0.5,0)# in x directionCATransform3D.shear(0,0.5)# in y direction# "perspective" changes are better than rotation because they make one side# bigger and one side smaller# see sceenshot below or run geomotion appCATransform3D.perspective(0.002,0)# similar to rotating around x-axisCATransform3D.perspective(0,0.002)# "rotates" around the y-axis# or you can chain these methodsCATransform3D.identity.translate(10,10,10).scale(2).rotate(Math::PI / 4)# convert to NSValue, for use in NSCoding or CAKeyframeAnimation#valuesNSValue.valueWithCATransform3D(CATransform3D.translate(0,10,0))# =>value=CATransform3D.translate(0,10,0).to_ns_valuetransform=CATransform3D.from_ns_value(value)
Perspective
Perspective
Install
  1. gem install geomotion
  2. Add require 'geomotion' in your Rakefile.
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Geomotion for RubyMotion
iOS Geometry in idiomatic Ruby. Exhaustively tested. What's not to love?
Features
  • Adds methods to return useful information, like whether a
rect.contains?(a_point), or point.distance_to(another_point)
  • Easily modify CGRects with methods like shrink_left, grow_down, below,
and many many more.
  • Easy conversion to and from NSValue (#to_ns_value and ##from_ns_value)
  • Adds nice inspect methods
  • Many operators (+, -, *)
  • CATransform3D and CGAffineTransform methods to create and concatenate transforms
  • Read on for in-depth examples!
CGRect
# Initializersrect=CGRect.new([10,100],[50,20])rect=CGRect.make(x: 10,y: 100,width: 50,height: 20)rect=CGRect.make(origin: CGPoint(0,0),size: CGSize(0,0))# there are, for convenience, function versions of these:rect=CGRect(10,100,50,20)rect=CGRect([10,100],[50,20])rect=CGRect([[10,100],[50,20]])rect=CGRect(x: 10,y: 100,w: 50,h: 20)rect=CGRect(origin: [10,100],size: [50,20])# Getters[rect.x,rect.y,rect.width,rect.height]=>[10,100,50,20]goofy_rect=CGRect.make(x: 10.1,y: 100.9,width: 50.2,height: 20.8)goofy_rect.integral=>CGRect([10.0,100.0],[51.0,22.0])rect_zero=CGRect.zerorect_zero=CGRect.empty# alias for CGRect.zero=>CGRect(0,0,0,0)rect_zero.empty?=>true# to get the center of the frame, relative to the origin or in absolute coordinatesrect.center=>CGPoint(25,10)# center relative to boundsrect.center(true)=>CGPoint(35,110)# center relative to frame# length of the diagonalsrect=CGRect.new([0,0],[30,40])rect.diagonal# => 50# Other points in the rect can be returned as well, and the same# relative/absolute return values are supported (defaults to relative)top_lefttop_center
| |
o--o--otop_right
| |
center_leftoxocenter_right
| |
o--o--obottom_right
| |
bottom_leftbottom_center# Operator Overloading
-rect=>CGRect(-10, -100, -50, -20)# union of rectsrect + CGRect.make(x: 9,y: 99,width: 10,height: 10)=>rect.union_with(CGRect.make(x: 9,y: 99,width: 10,height: 10))=>CGRect(9,99,50,20)# increases the size, but keeps the originrect + CGSize.make(width: 11,height: 1)=>CGRect(10,100,61,21)# not the same as `grow`, which grows the rect in all directions# move the rect via a pointrect + CGPoint.make(x: 10,y: 10)=>rect.offset(CGPoint.make(x: 10,y: 10))=>CGRect(20,110,50,20)# move the rect via an offsetrect + UIOffsetMake(10,10)rect.offset(UIOffsetMake(10,10))rect.offset(10,10)=>CGRect(20,110,50,20)a_point + a_size=>CGRect(a_point,a_size)# a point and a size make a rectangle. makes sense, right?# Union and Intersectionrect.union_withCGRect.make(x: 9,y: 99,width: 10,height: 10)=>CGRect(9,99,50,20)rect.intersection_withCGRect.make(x: 9,y: 99,width: 10,height: 10)=>CGRect(10,100,10,10)rect.intersects?(another_rect)=>true/false,whethertheyoverlapatallor not
rect.contains?(a_pointora_rect)=>true/false,whetherthepointorrectis *completelycontained* inthereceivingrect# Growing and shrinking# The center stays the same. Think margins!rect.grow(CGSize.make(width: 10,height: 20))=>CGRect(5,90,60,40)rect.shrink(10)=>CGRect(15,105,40,10)# Powerful layout adjustments with chainable methodsview=UIView.alloc.initWithFramerect.below.width(100).height(10)view.frame=>CGRect(10,120,100,10)view2=UIView.alloc.initWithFramerect.beside(10)view2.frame=>CGRect(70,100,50,20.0)# More examples of adjustmentsrect=CGRect.make(x: 10,y: 100,width: 50,height: 20)[rect.right(20).x,rect.left(20).x,rect.up(20).y,rect.down(20).y]=>[30, -10,80,120]# Layout "above" and "before" rectangles# (default offset is the rectangle's width or height)rect.before(5)=>CGRect(-45,100,50,20)rect.before(5,width:20)=>CGRect(-15,100,20,20)rect.above(5)=>CGRect(10,75,50,20)rect.above(5,height:10)=>CGRect(10,85,50,10)# Layout a rect relative to othersrect2=CGRect.make(x: 50,y: 50,width: 100,height: 100)rect3=CGRect.make(x:100,y: 200,width: 20,height: 20)CGRect.layout(rect,above: rect2,right_of: rect3)=>CGRect(120,30,50,20)# Also supports marginsCGRect.layout(rect,above: rect2,right_of: rect3,margins: [0,0,10,15])=>CGRect(135,20,50,20)
Relative vs Absolute
When you are positioning frames, you'll be doing so in one of two ways:
  1. Two frames relative to each other, within a common parent frame
  2. A frame being added as a child of another frame
(generally speaking)
geomotion is optimized for both cases, but the arsenal of methods is different.
frames relative to each other
Any of the location methods (up, down, left, right, beside, before, above, below)
will return a frame that is in the same coordinate system of the receiver, and
this behavior cannot be changed.
frame=CGRect.make(x: 10,y: 10,width:10,height: 10)frame.beside# => [[20, 10], [10, 10]]frame.right(30).down(5).taller(100)# => [[10+30, 10+5], [10, 10+100]]# aka# => [[40, 15], [10, 110]]
Any methods that include the x or y variable in their name will be absolute.
frame.xframe.min_xframe.max_xframe.mid_xframe.yframe.min_yframe.max_yframe.mid_y
positions relative to the frame's origin
Any of the position methods that do NOT include the x or y variable will
ignore the x and y values unless explicitly told to use absolute
coordinates.
Note: These methods will "normalize" the width and height, so even if
the width or height is negative, these methods will always return positive
numbers. If you specify absolute coordinates, the values might be negative, but
they will also be sorted (x == min, min < mid, mid < max, x + width == max).
frame=CGRect.make(x: 10,y: 10,width:10,height: 10)frame.top_left# => [0, 0]frame.top_center# => [5, 0]frame.bottom_right# => [10, 10]# use absolute coordinatesframe.top_left(true)# => [10, 10]frame.top_center(true)# => [15, 10]frame.bottom_right(true)# => [20, 20]# negative widths and heights are "corrected" when using absolute coordinatesframe=CGRect.make(x: 20,y: 20,width:-10,height: -10)frame.top_center(true)# => [15, 10]frame.bottom_right(true)# => [20, 20]
The great and powerful apply method
Most of the frame-manipulation methods delegate to the apply method. You can
use this method to perform batch changes.
frame=view.frame.apply(left: 10,y: 0,wider: 50,grow_height: 10)
All of the methods that return a new frame (left, shrink, below and friends)
also accept a hash in which you can apply more changes. You can accomplish the
same thing using method chaining; this is an implementation detail that might
also clean your code up by grouping changes.
frame=CGRect.make(x: 10,y: 10,width:10,height: 10)frame.beside.width(20).down(10).height(20)# => [[20, 20], [20, 20]]# using the options hash / apply methodframe.beside(width: 20,down: 10,height: 20)# => [[20, 20], [20, 20]]frame.below(grow_width: 10,grow_up: 5)# => [[0, 15], [40, 25]]# convert to NSValue, for use in NSCoding or where an Objective-C object is# needed. CGRect is a "boxed" object in RubyMotion, and in Objective-C it is a# C-struct and so can't be stored in an NSArray, for example.NSValue.valueWithCGRect(CGRect.new([0,10],[10,20]))# =>value=CGRect.new([0,10],[10,20]).to_ns_valuerect=CGRect.from_ns_value(value)
CGSize
# Initializerssize=CGSize.new(50,20)size=CGSize.make(width: 50,height: 20)# there are, for convenience, function versions of these:size=CGSize(50,20)size=CGSize([50,20])size=CGSize(width: 50,height: 20)# Getterssize_zero=CGSize.empty=>CGSize(0,0)size_zero.empty?=>true# length of the diagonalssize=CGSize.new([30,40])size.diagonal# => 50# modify width, height, or both# biggersize_zero=CGSize.emptysize_zero.grow(5)# => CGSize(5, 5)size_zero.wider(10)# => CGSize(10, 0)size_zero.taller(10)# => CGSize(0, 10)# smallersize_ten=CGSize.new(10,10)size_ten.shrink(5)# => CGSize(5, 5)size_ten.shorter(10)# => CGSize(10, 0)size_ten.thinner(10)# => CGSize(0, 10)# Operator Overloading
-size=>CGSize(-50, -20)size + CGSize.make(width: 100,height: 50)=>CGSize(150,70)size + CGPoint.make(x: 10,y: 30)=>CGRect(10,30,50,20)# Combine with CGPointsize.rect_at_pointCGPoint.make(x: 10,y: 30)=>CGRect(10,30,50,20)# convert to NSValue, for use in NSCoding or where an Objective-C object is# needed.NSValue.valueWithCGSize(CGSize.new(0,10))# =>value=CGSize.new(0,10).to_ns_valuesize=CGSize.from_ns_value(value)
CGPoint
# Initializerspoint=CGPoint.new(10,100)point=CGPoint.make(x: 10,y: 100)# there are, for convenience, function versions of these:point=CGPoint(10,100)point=CGPoint([10,100])point=CGPoint(x: 10,y: 100)# Return a modified copypoint.up(50).left(5)=>CGPoint(5,50)# original is not modified, a new point is returnedpoint.down(50).right(5)=>CGPoint(15,150)# Operator Overloading
-point=>CGPoint(-10, -100)point + CGPoint.make(x: 20,y: 40)=>CGPoint(30,140)point + CGSize.make(width: 50,height: 20)=>CGRect(10,100,50,20)# Combine with CGSizepoint.rect_of_sizeCGSize.make(width: 50,height: 20)=>CGRect(10,100,50,20)# Compare with CGRectpoint.inside?CGRect.make(x: 0,y: 0,width: 20,height: 110)=>true# Compare with origin# lengthCGPoint.new(3,4).length=>5# angleCGPoint.new(1,1).angle * 180 / Math::PI=>45.0# if you only need to *compare* lengths, use rough_length. It is faster, since# it doesn't perform the sqrt part of pythagorean's theorem.CGPoint.new(3,4).rough_length=>25# Distance to pointpoint=CGPoint.new(10,100)point.distance_to(CGPoint.make(x: 13,y:104))=>5# If you just need to know whether the points are within a certain distance, it# is faster to use distance_within? (it uses rough_length to compare the distances)point.distance_within?(5,to: CGPoint.make(x: 13,y: 104))=>true# Angle between target and receiver# (hint: our answer should be 45°)point=CGPoint.new(10,100)point.angle_to(CGPoint.make(x: 20,y:110))=>0.785398163397(pi/4)# convert to NSValue, for use in NSCoding or where an Objective-C object is# needed.NSValue.valueWithCGPoint(CGPoint.new(0,10))# =>value=CGPoint.new(0,10).to_ns_valuepoint=CGPoint.from_ns_value(value)
CGAffineTransform
These are assigned to the UIView#transform parameter. See CATransform3D for
the transforms that are designed for CALayer object.
# you *can* create it manuallytransform=CGAffineTransform.make(a: 1,b: 0,c: 0,d: 1,tx: 0,ty: 0)transform=CGAffineTransform(1,0,0,1,0,0)# but don't! the `make` method accepts `translate`, `scale`, and `rotate` argstransform=CGAffineTransform.make(scale: 2,translate: [10,10],rotate: Math::PI)# identity transform is easyCGAffineTransform.identity# just to be sureCGAffineTransform.identity.identity?# => true# Operator Overloadingtransform1=CGAffineTransform.make(scale: 2)transform2=CGAffineTransform.make(translate: [10,10])# concatenate transformstransform1 + transform2transform1 << transform2# aliastransform1 - transform2# => transform1 + -transform2# => transform1 + transform2.inverttransform1 - transform1# => CGAffineTransform.identity# create new transforms by calling `translate`, `scale`, or `rotate` as factory# methodsCGAffineTransform.translate(10,10)CGAffineTransform.scale(2)# scale x and y by 2CGAffineTransform.scale(2,4)# scale x by 2 and y by 4CGAffineTransform.rotate(Math::PI / 4)# "shearing" turns a rectangle into a parallelogram# see sceenshot below or run geomotion appCGAffineTransform.shear(0.5,0)# in x directionCGAffineTransform.shear(0,0.5)# in y direction# you can combine these, but it looks kind of strange. better to pick one# direction# or you can chain these methodsCGAffineTransform.identity.translate(10,10).scale(2).rotate(Math::PI / 4)# convert to NSValue, for use in NSCoding or where an Objective-C object is# needed.NSValue.valueWithCGAffineTransform(CGAffineTransform.translate(0,10))# =>value=CGAffineTransform.translate(0,10).to_ns_valuetransform=CGAffineTransform.from_ns_value(value)
Shearing
Shearing
CATransform3D
CALayers can take on full 3D transforms.
# these are really gnarlytransform=CATransform3D.make(m11: 1,m12: 0,m13: 0,m14: 0,m21: 0,m22: 1,m23: 0,m24: 0,m31: 0,m32: 0,m33: 1,m34: 0,m41: 0,m42: 0,m43: 0,m44: 1,)transform=CATransform3D(samethingworkshere)# accepts transforms like CGAffineTransform, but many take 3 instead of 2 argstransform=CATransform3D.make(scale: [2,2,1],translate: [10,10,10],rotate: Math::PI)# identity transformCATransform3D.identityCATransform3D.identity.identity?# => true# Operator Overloadingtransform1=CATransform3D.make(scale: 2)transform2=CATransform3D.make(translate: [10,10])# concatenate transformstransform1 + transform2transform1 << transform2# aliastransform1 - transform2# => transform1 + -transform2# => transform1 + transform2.inverttransform1 - transform1# => CATransform3D.identity# create new transforms by calling factory methodsCATransform3D.translate(10,10,10)CATransform3D.scale(2)# scale x and y by 2CATransform3D.scale(2,4,3)# scale x by 2, y by 4, z by 3CATransform3D.rotate(Math::PI / 4)# "shearing" works the same as CGAffineTransformCATransform3D.shear(0.5,0)# in x directionCATransform3D.shear(0,0.5)# in y direction# "perspective" changes are better than rotation because they make one side# bigger and one side smaller# see sceenshot below or run geomotion appCATransform3D.perspective(0.002,0)# similar to rotating around x-axisCATransform3D.perspective(0,0.002)# "rotates" around the y-axis# or you can chain these methodsCATransform3D.identity.translate(10,10,10).scale(2).rotate(Math::PI / 4)# convert to NSValue, for use in NSCoding or CAKeyframeAnimation#valuesNSValue.valueWithCATransform3D(CATransform3D.translate(0,10,0))# =>value=CATransform3D.translate(0,10,0).to_ns_valuetransform=CATransform3D.from_ns_value(value)
Perspective
Perspective
Install
  1. gem install geomotion
  2. Add require 'geomotion' in your Rakefile.
Forking
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Better iOS Geometry with RubyMotion
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