Description
PerfectShape is a collection of pure Ruby geometric algorithms that are mostly useful for GUI (Graphical User Interface) manipulation like checking viewport rectangle intersection or containment of a mouse click point in popular geometry shapes such as rectangle, square, arc (open, chord, and pie), ellipse, circle, polygon, and paths containing lines, quadratic bézier curves, and cubic bezier curves, potentially with affine transforms applied like translation, scale, rotation, shear/skew, and inversion (including both Ray Casting Algorithm, aka Even-odd Rule, and Winding Number Algorithm, aka Nonzero Rule).
Additionally, PerfectShape::Math contains some purely mathematical algorithms, like IEEE 754-1985 Remainder.
Perfect Shape alternatives and similar gems
Based on the "Database Tools" category.
Alternatively, view perfect-shape alternatives based on common mentions on social networks and blogs.
-
Database Cleaner
Strategies for cleaning databases in Ruby. Can be used to ensure a clean state for testing. -
Large Hadron Migrator
Online MySQL schema migrations -
Active Record Doctor
Identify database issues before they hit production. -
Lol DBA
lol_dba is a small package of rake tasks that scan your application models and displays a list of columns that probably should be indexed. Also, it can generate .sql migration scripts. -
Squasher
Squasher - squash your old migrations in a single command -
Foreigner
Adds foreign key helpers to migrations and correctly dumps foreign keys to schema.rb -
Seed Fu
Advanced seed data handling for Rails, combining the best practices of several methods together. -
Seedbank
Seedbank gives your seed data a little structure. Create seeds for each environment, share seeds between environments and specify dependencies to load your seeds in order. All nicely integrated with simple rake tasks. -
BatchLoader
:zap: Powerful tool for avoiding N+1 DB or HTTP queries -
DatabaseConsistency
The tool to avoid various issues due to inconsistencies and inefficiencies between a database schema and application models. -
Polo
Polo travels through your database and creates sample snapshots so you can work with real world data in development. -
SchemaPlus
SchemaPlus provides a collection of enhancements and extensions to ActiveRecord -
DatabaseValidations
Database validations for ActiveRecord -
Upsert
Upsert on MySQL, PostgreSQL, and SQLite3. Transparently creates functions (UDF) for MySQL and PostgreSQL; on SQLite3, uses INSERT OR IGNORE. -
OnlineMigrations
Catch unsafe PostgreSQL migrations in development and run them easier in production (code helpers for table/column renaming, changing column type, adding columns with default, background migrations, etc). -
FastPage
Blazing fast pagination for ActiveRecord with deferred joins ⚡️ -
QueryTrack
Find time-consuming database queries for ActiveRecord-based Rails Apps -
Ruby Whatsapp SDK
A lightweight, efficient Ruby gem for interacting with Whatsapp Cloud API. -
Ruby PG Extras
Ruby PostgreSQL database performance insights. Locks, index usage, buffer cache hit ratios, vacuum stats and more. -
ocran
Turn ruby files into .exe files on windows (supported safe fork of ocran) -
PgDriveBackup
Simple solution to make encrypted with ccrypt PostgreSQL backups and storing on Google Drive API -
Slack Smart Bot
Create a Slack bot that is smart and so easy to expand, create new bots on demand, run ruby code on chat, create shortcuts... The main scope of this gem is to be used internally in the company so teams can create team channels with their own bot to help them on their daily work, almost everything is suitable to be automated!! slack-smart-bot can create bots on demand, create shortcuts, run ruby code... just on a chat channel. You can access it just from your mobile phone if you want and run those tests you forgot to run, get the results, restart a server... no limits. -
ActiveRecord Setops
Union, Intersect, and Difference set operations for ActiveRecord (also, SQL's UnionAll). -
PgDice
Postgres partitioning built on top of https://github.com/ankane/pgslice -
Rapidity
Simple but fast Redis-backed distributed rate limiter. Allows you to specify time interval and count within to limit distributed operations. -
ActiveRecord::DataIntegrity
Check data integrity for your ActiveRecord models -
bundler-download
Bundler plugin for auto-downloading specified extra files after gem install -
SlackHook
A Simple Interface to Slack Incoming Webhooks Integrations -
PRY-BYETYPO 👋
A Pry plugin that captures exceptions that may arise from typos and deduces the correct command.
PopRuby: Clothing and Accessories for Ruby Developers
* Code Quality Rankings and insights are calculated and provided by Lumnify.
They vary from L1 to L5 with "L5" being the highest.
Do you think we are missing an alternative of Perfect Shape or a related project?
README
Perfect Shape 1.0.6
Geometric Algorithms
PerfectShape
is a collection of pure Ruby geometric algorithms that are mostly useful for GUI (Graphical User Interface) manipulation like checking viewport rectangle intersection or containment of a mouse click point in popular geometry shapes such as rectangle, square, arc (open, chord, and pie), ellipse, circle, polygon, and paths containing lines, quadratic bézier curves, and cubic bezier curves, potentially with affine transforms applied like translation, scale, rotation, shear/skew, and inversion (including both the Ray Casting Algorithm, aka Even-odd Rule, and the Winding Number Algorithm, aka Nonzero Rule).
Additionally, PerfectShape::Math
contains some purely mathematical algorithms, like IEEE 754-1985 Remainder.
To ensure accuracy and precision, this library does all its mathematical operations with BigDecimal
numbers.
Setup
Run:
gem install perfect-shape -v 1.0.6
Or include in Bundler Gemfile
:
gem 'perfect-shape', '~> 1.0.6'
And, run:
bundle
API
PerfectShape::Math
Module
::degrees_to_radians(angle)
: converts degrees to radians::radians_to_degrees(angle)
: converts radians to degrees::normalize_degrees(angle)
: normalizes the specified angle into the range -180 to 180.::ieee_remainder(x, y)
(alias:ieee754_remainder
): IEEE 754-1985 Remainder (different from standard%
modulo operator as it operates on floats and could return a negative result)
PerfectShape::Shape
Class
This is a base class for all shapes. It is not meant to be used directly. Subclasses implement/override its methods as needed.
#min_x
: min x#min_y
: min y#max_x
: max x#max_y
: max y#width
: width#height
: height#center_point
: center point asArray
of[center_x, center_y]
coordinates#center_x
: center x#center_y
: center y#bounding_box
: bounding box is a rectangle with x = min x, y = min y, and width/height just as those of shape#==(other)
: Returnstrue
if equal toother
orfalse
otherwise#contain?(x_or_point, y=nil, outline: false, distance_tolerance: 0)
: checks if point is inside ifoutline
isfalse
or if point is on the outline ifoutline
istrue
.distance_tolerance
can be used as a fuzz factor whenoutline
istrue
, for example, to help GUI users mouse-click-select a shape from its outline more successfully
PerfectShape::PointLocation
Module
#initialize(x: 0, y: 0)
: initializes a point location, usually representing the top-left point in a shape#x
: top-left x#y
: top-left y#min_x
: min x (x by default)#min_y
: min y (y by default)
PerfectShape::RectangularShape
Module
Includes PerfectShape::PointLocation
#initialize(x: 0, y: 0, width: 1, height: 1)
: initializes a rectangular shape#x
: top-left x#y
: top-left y#width
: width#height
: height#min_x
: min x#min_y
: min y#max_x
: max x#max_y
: max y
PerfectShape::MultiPoint
Module
::normalize_point_array
: normalizesArray
of multiple points into (x,y) point coordinateArray
format per point#initialize(points: [])
: initializespoints
withArray
of multiple points (e.g. useful for shapes likeLine
andPolygon
).#points
:Array
of multiple points#min_x
: min x of all points#min_y
: min y of all points#max_x
: max x of all points#max_y
: max y of all points
PerfectShape::AffineTransform
Class
Affine transforms have the following matrix:
[ xxp xyp xt ] [ yxp yyp yt ]
The matrix is used to transform (x,y) point coordinates as follows:
[ xxp xyp xt ] * [x] = [ xxp * x + xyp * y + xt ] [ yxp yyp yt ] * [y] = [ yxp * x + yyp * y + yt ]
xxp
is the x coordinate x product (m11
)
xyp
is the x coordinate y product (m12
)
yxp
is the y coordinate x product (m21
)
yyp
is the y coordinate y product (m22
)
xt
is the x coordinate translation (m13
)
yt
is the y coordinate translation (m23
)
Affine transform mutation operations ending with !
can be chained as they all return self
.
::new(xxp_element = nil, xyp_element = nil, yxp_element = nil, yyp_element = nil, xt_element = nil, yt_element = nil, xxp: nil, xyp: nil, yxp: nil, yyp: nil, xt: nil, yt: nil, m11: nil, m12: nil, m21: nil, m22: nil, m13: nil, m23: nil)
: The constructor accepts either the (x,y)-operation related argument/kwarg names or traditional matrix element kwarg names. If no arguments are supplied, it constructs an identity matrix (i.e. like calling::new(xxp: 1, xyp: 0, yxp: 0, yyp: 1, xt: 0, yt: 0)
).#matrix_3d
: Returns RubyMatrix
object representing affine transform in 3D (used internally for performing multiplication)#==(other)
: Returnstrue
if equal toother
orfalse
otherwise#identity!
(alias:reset!
): Resets to identity matrix (i.e. like calling::new(xxp: 1, xyp: 0, yxp: 0, yyp: 1, xt: 0, yt: 0)
)#invertible?
Returnstrue
if matrix is invertible andfalse
otherwise#invert!
: Inverts affine transform matrix if invertible or raises an error otherwise#multiply!(other)
: Multiplies affine transform with another affine transform, storing resulting changes in matrix elements#translate!(x_or_point, y=nil)
: Translates affine transform with (x, y) translation values#scale!(x_or_point, y=nil)
: Scales affine transform with (x, y) scale values#rotate!(degrees)
: Rotates by angle degrees counter-clockwise if angle value is positive or clockwise if angle value is negative. Note that it returns very close approximate results for rotations that are 90/180/270 degrees (good enough for inverse-transform GUI point containment checks needed when checking if mouse-click-point is inside a transformed shape).#shear!(x_or_point, y=nil)
: Shears by x and y factors#clone
: Returns a new AffineTransform with the same matrix elements#transform_point(x_or_point, y=nil)
: returns[xxp * x + xyp * y + xt, yxp * x + yyp * y + yt]
. Note that result is a close approximation, but should be good enough for GUI mouse-click-point containment checks.#transform_points(*xy_coordinates_or_points)
: returnsArray
of (x,y) pairArray
s transformed with#transform_point
method#inverse_transform_point(x_or_point, y=nil)
: returns inverse transform of a point (x,y) coordinates (clones self and inverts clone, and then transforms point). Note that result is a close approximation, but should be good enough for GUI mouse-click-point containment checks.#inverse_transform_points(*xy_coordinates_or_points)
: returns inverse transforms of a pointArray
of (x,y) coordinates
Example:
xxp = 2
xyp = 3
yxp = 4
yyp = 5
xt = 6
yt = 7
affine_transform1 = PerfectShape::AffineTransform.new(xxp: xxp, xyp: xyp, yxp: yxp, yyp: yyp, xt: xt, yt: yt) # (x,y)-operation kwarg names
affine_transform2 = PerfectShape::AffineTransform.new(m11: xxp, m12: xyp, m21: yxp, m22: yyp, m13: xt, m23: yt) # traditional matrix element kwarg names
affine_transform3 = PerfectShape::AffineTransform.new(xxp, xyp, yxp, yyp, xt, yt) # standard arguments
affine_transform2.matrix_3d == affine_transform1.matrix_3d # => true
affine_transform3.matrix_3d == affine_transform1.matrix_3d # => true
affine_transform = PerfectShape::AffineTransform.new.translate!(30, 20).scale!(2, 3)
affine_transform.transform_point(10, 10) # => approximately [50, 50]
affine_transform.inverse_transform_point(50, 50) # => approximately [10, 10]
PerfectShape::Point
Class
Extends PerfectShape::Shape
Includes PerfectShape::PointLocation
Points are simply represented by an Array
of [x,y]
coordinates when used within other shapes, but when needing point-specific operations like point_distance
, the PerfectShape::Point
class can come in handy.
::point_distance(x, y, px, py)
: Returns the distance from a point to another point::normalize_point(x_or_point, y = nil)
: Normalizes point args whether two-numberpoint
Array
orx
,y
args, returning normalized pointArray
of twoBigDecimal
's::new(x_or_point=nil, y_arg=nil, x: nil, y: nil)
: constructs a point with (x,y) pair (default: 0,0) whether specified asArray
of (x,y) pair, flatx,y
args, orx:, y:
kwargs.#min_x
: min x (always x)#min_y
: min y (always y)#max_x
: max x (always x)#max_y
: max y (always y)#width
: width (always 0)#height
: height (always 0)#center_point
: center point asArray
of[center_x, center_y]
coordinates#center_x
: center x (always x)#center_y
: center y (always y)#bounding_box
: bounding box is a rectangle with x = min x, y = min y, and width/height of shape#==(other)
: Returnstrue
if equal toother
orfalse
otherwise#contain?(x_or_point, y=nil, outline: true, distance_tolerance: 0)
: checks if point matches self, with a distance tolerance (0 by default). Distance tolerance provides a fuzz factor that for example enables GUI users to mouse-click-select a point shape more successfully.outline
option makes no difference on point#intersect?(rectangle)
: Returnstrue
if intersecting with interior of rectangle orfalse
otherwise. This is useful for GUI optimization checks of whether a shape appears in a GUI viewport rectangle and needs redrawing#point_distance(x_or_point, y=nil)
: Returns the distance from a point to another point
Example:
require 'perfect-shape'
shape = PerfectShape::Point.new(x: 200, y: 150)
shape.contain?(200, 150) # => true
shape.contain?([200, 150]) # => true
shape.contain?(200, 151) # => false
shape.contain?([200, 151]) # => false
shape.contain?(200, 151, distance_tolerance: 5) # => true
shape.contain?([200, 151], distance_tolerance: 5) # => true
PerfectShape::Line
Class
Extends PerfectShape::Shape
Includes PerfectShape::MultiPoint
::relative_counterclockwise(x1, y1, x2, y2, px, py)
: Returns an indicator of where the specified point (px,py) lies with respect to the line segment from (x1,y1) to (x2,y2). The return value can be either 1, -1, or 0 and indicates in which direction the specified line must pivot around its first end point, (x1,y1), in order to point at the specified point (px,py). A return value of 1 indicates that the line segment must turn in the direction that takes the positive X axis towards the negative Y axis. In the default coordinate system, this direction is counterclockwise. A return value of -1 indicates that the line segment must turn in the direction that takes the positive X axis towards the positive Y axis. In the default coordinate system, this direction is clockwise. A return value of 0 indicates that the point lies exactly on the line segment. Note that an indicator value of 0 is rare and not useful for determining collinearity because of floating point rounding issues. If the point is colinear with the line segment, but not between the end points, then the value will be -1 if the point lies “beyond (x1,y1)” or 1 if the point lies “beyond (x2,y2)”.::point_distance_square(x1, y1, x2, y2, px, py)
: Returns the square of distance from a point to a line segment.::point_distance(x1, y1, x2, y2, px, py)
: Returns the distance from a point to a line segment.::new(points: [])
: constructs a line with twopoints
asArray
ofArray
s of[x,y]
pairs or flattenedArray
of alternating x and y coordinates#min_x
: min x#min_y
: min y#max_x
: max x#max_y
: max y#width
: width (from min x to max x)#height
: height (from min y to max y)#center_point
: center point asArray
of[center_x, center_y]
coordinates#center_x
: center x#center_y
: center y#bounding_box
: bounding box is a rectangle with x = min x, y = min y, and width/height of shape#==(other)
: Returnstrue
if equal toother
orfalse
otherwise#contain?(x_or_point, y=nil, outline: true, distance_tolerance: 0)
: checks if point lies on line, with a distance tolerance (0 by default). Distance tolerance provides a fuzz factor that for example enables GUI users to mouse-click-select a line shape more successfully.outline
option makes no difference on line#intersect?(rectangle)
: Returnstrue
if intersecting with interior of rectangle orfalse
otherwise. This is useful for GUI optimization checks of whether a shape appears in a GUI viewport rectangle and needs redrawing#relative_counterclockwise(x_or_point, y=nil)
: Returns an indicator of where the specified point (px,py) lies with respect to the line segment from (x1,y1) to (x2,y2). The return value can be either 1, -1, or 0 and indicates in which direction the specified line must pivot around its first end point, (x1,y1), in order to point at the specified point (px,py). A return value of 1 indicates that the line segment must turn in the direction that takes the positive X axis towards the negative Y axis. In the default coordinate system, this direction is counterclockwise. A return value of -1 indicates that the line segment must turn in the direction that takes the positive X axis towards the positive Y axis. In the default coordinate system, this direction is clockwise. A return value of 0 indicates that the point lies exactly on the line segment. Note that an indicator value of 0 is rare and not useful for determining collinearity because of floating point rounding issues. If the point is colinear with the line segment, but not between the end points, then the value will be -1 if the point lies “beyond (x1,y1)” or 1 if the point lies “beyond (x2,y2)”.#point_distance(x_or_point, y=nil)
: Returns the distance from a point to a line segment.#rect_crossings(rxmin, rymin, rxmax, rymax, crossings = 0)
: rectangle crossings (adds to crossings arg)
Example:
require 'perfect-shape'
shape = PerfectShape::Line.new(points: [[0, 0], [100, 100]]) # start point and end point
shape.contain?(50, 50) # => true
shape.contain?([50, 50]) # => true
shape.contain?(50, 51) # => false
shape.contain?([50, 51]) # => false
shape.contain?(50, 51, distance_tolerance: 5) # => true
shape.contain?([50, 51], distance_tolerance: 5) # => true
PerfectShape::QuadraticBezierCurve
Class
Extends PerfectShape::Shape
Includes PerfectShape::MultiPoint
::tag(coord, low, high)
: Determine where coord lies with respect to the range from low to high. It is assumed that low < high. The return value is one of the 5 values BELOW, LOWEDGE, INSIDE, HIGHEDGE, or ABOVE.::eqn(val, c1, cp, c2)
: Fill an array with the coefficients of the parametric equation in t, ready for solving against val with solve_quadratic. We currently have: val = Py(t) = C1*(1-t)2 + 2*CP*t*(1-t) + C2*t2 = C1 - 2*C1*t + C1*t2 + 2*CP*t - 2*CP*t2 + C2*t2 = C1 + (2*CP - 2*C1)*t + (C1 - 2*CP + C2)*t2; 0 = (C1 - val) + (2*CP - 2*C1)*t + (C1 - 2*CP + C2)*t2; 0 = C + Bt + At2; C = C1 - val; B = 2*CP - 2*C1; A = C1 - 2*CP + C2::solve_quadratic(eqn)
: Solves the quadratic whose coefficients are in the eqn array and places the non-complex roots into the res array, returning the number of roots. The quadratic solved is represented by the equation: eqn = {C, B, A}; ax2 + bx + c = 0 A return value of-1
is used to distinguish a constant equation, which might be always 0 or never 0, from an equation that has no zeroes.::eval_quadratic(vals, num, include0, include1, inflect, c1, ctrl, c2)
: Evaluate the t values in the first num slots of the vals[] array and place the evaluated values back into the same array. Only evaluate t values that are within the range <, >, including the 0 and 1 ends of the range iff the include0 or include1 booleans are true. If an "inflection" equation is handed in, then any points which represent a point of inflection for that quadratic equation are also ignored.::new(points: [])
: constructs a quadratic bézier curve with threepoints
(start point, control point, and end point) asArray
ofArray
s of[x,y]
pairs or flattenedArray
of alternating x and y coordinates#points
: points (start point, control point, and end point)#min_x
: min x#min_y
: min y#max_x
: max x#max_y
: max y#width
: width (from min x to max x)#height
: height (from min y to max y)#center_point
: center point asArray
of[center_x, center_y]
coordinates#center_x
: center x#center_y
: center y#bounding_box
: bounding box is a rectangle with x = min x, y = min y, and width/height of shape (bounding box only guarantees that the shape is within it, but it might be bigger than the shape)#==(other)
: Returnstrue
if equal toother
orfalse
otherwise#contain?(x_or_point, y=nil, outline: false, distance_tolerance: 0)
: checks if point is inside whenoutline
isfalse
or if point is on the outline whenoutline
istrue
.distance_tolerance
can be used as a fuzz factor whenoutline
istrue
, for example, to help GUI users mouse-click-select a quadratic bezier curve shape from its outline more successfully#intersect?(rectangle)
: Returnstrue
if intersecting with interior of rectangle orfalse
otherwise. This is useful for GUI optimization checks of whether a shape appears in a GUI viewport rectangle and needs redrawing#curve_center_point
: point at the center of the curve outline (not the center of the bounding box area likecenter_x
andcenter_y
)#curve_center_x
: point x coordinate at the center of the curve outline (not the center of the bounding box area likecenter_x
andcenter_y
)#curve_center_y
: point y coordinate at the center of the curve outline (not the center of the bounding box area likecenter_x
andcenter_y
)#subdivisions(level=1)
: subdivides quadratic bezier curve at its center into into 2 quadratic bezier curves by default, or more iflevel
of recursion is specified. The resulting number of subdivisions is2
to the power oflevel
.#point_distance(x_or_point, y=nil, minimum_distance_threshold: OUTLINE_MINIMUM_DISTANCE_THRESHOLD)
: calculates distance from point to curve segment. It does so by subdividing curve into smaller curves and checking against the curve center points until the distance is less thanminimum_distance_threshold
, to avoid being an overly costly operation.#rect_crossings(rxmin, rymin, rxmax, rymax, level, crossings = 0)
: rectangle crossings (adds to crossings arg)
Example:
require 'perfect-shape'
shape = PerfectShape::QuadraticBezierCurve.new(points: [[200, 150], [270, 320], [380, 150]]) # start point, control point, and end point
shape.contain?(270, 220) # => true
shape.contain?([270, 220]) # => true
shape.contain?(270, 220, outline: true) # => false
shape.contain?([270, 220], outline: true) # => false
shape.contain?(280, 235, outline: true) # => true
shape.contain?([280, 235], outline: true) # => true
shape.contain?(281, 235, outline: true) # => false
shape.contain?([281, 235], outline: true) # => false
shape.contain?(281, 235, outline: true, distance_tolerance: 1) # => true
shape.contain?([281, 235], outline: true, distance_tolerance: 1) # => true
PerfectShape::CubicBezierCurve
Class
Extends PerfectShape::Shape
Includes PerfectShape::MultiPoint
::new(points: [])
: constructs a cubic bézier curve with fourpoints
(start point, two control points, and end point) asArray
ofArray
s of[x,y]
pairs or flattenedArray
of alternating x and y coordinates#points
: points (start point, two control points, and end point)#min_x
: min x#min_y
: min y#max_x
: max x#max_y
: max y#width
: width (from min x to max x)#height
: height (from min y to max y)#center_point
: center point asArray
of[center_x, center_y]
coordinates#center_x
: center x#center_y
: center y#bounding_box
: bounding box is a rectangle with x = min x, y = min y, and width/height of shape (bounding box only guarantees that the shape is within it, but it might be bigger than the shape)#==(other)
: Returnstrue
if equal toother
orfalse
otherwise#contain?(x_or_point, y=nil, outline: false, distance_tolerance: 0)
: checks if point is inside whenoutline
isfalse
or if point is on the outline whenoutline
istrue
.distance_tolerance
can be used as a fuzz factor whenoutline
istrue
, for example, to help GUI users mouse-click-select a cubic bezier curve shape from its outline more successfully#intersect?(rectangle)
: Returnstrue
if intersecting with interior of rectangle orfalse
otherwise. This is useful for GUI optimization checks of whether a shape appears in a GUI viewport rectangle and needs redrawing#curve_center_point
: point at the center of the curve outline (not the center of the bounding box area likecenter_x
andcenter_y
)#curve_center_x
: point x coordinate at the center of the curve outline (not the center of the bounding box area likecenter_x
andcenter_y
)#curve_center_y
: point y coordinate at the center of the curve outline (not the center of the bounding box area likecenter_x
andcenter_y
)#subdivisions(level=1)
: subdivides cubic bezier curve at its center into into 2 cubic bezier curves by default, or more iflevel
of recursion is specified. The resulting number of subdivisions is2
to the power oflevel
.#point_distance(x_or_point, y=nil, minimum_distance_threshold: OUTLINE_MINIMUM_DISTANCE_THRESHOLD)
: calculates distance from point to curve segment. It does so by subdividing curve into smaller curves and checking against the curve center points until the distance is less thanminimum_distance_threshold
, to avoid being an overly costly operation.#rectangle_crossings(rectangle)
: rectangle crossings (used to determine rectangle interior intersection), optimized to check if line represented by cubic bezier curve crosses the rectangle first, and if not then perform expensive check with#rect_crossings
#rect_crossings(rxmin, rymin, rxmax, rymax, level, crossings = 0)
: rectangle crossings (adds to crossings arg)
Example:
require 'perfect-shape'
shape = PerfectShape::CubicBezierCurve.new(points: [[200, 150], [235, 235], [270, 320], [380, 150]]) # start point, two control points, and end point
shape.contain?(270, 220) # => true
shape.contain?([270, 220]) # => true
shape.contain?(270, 220, outline: true) # => false
shape.contain?([270, 220], outline: true) # => false
shape.contain?(261.875, 245.625, outline: true) # => true
shape.contain?([261.875, 245.625], outline: true) # => true
shape.contain?(261.875, 246.625, outline: true) # => false
shape.contain?([261.875, 246.625], outline: true) # => false
shape.contain?(261.875, 246.625, outline: true, distance_tolerance: 1) # => true
shape.contain?([261.875, 246.625], outline: true, distance_tolerance: 1) # => true
PerfectShape::Rectangle
Class
Extends PerfectShape::Shape
Includes PerfectShape::RectangularShape
::new(x: 0, y: 0, width: 1, height: 1)
: constructs a rectangle#x
: top-left x#y
: top-left y#width
: width#height
: height#center_point
: center point asArray
of[center_x, center_y]
coordinates#center_x
: center x#center_y
: center y#min_x
: min x#min_y
: min y#max_x
: max x#max_y
: max y#bounding_box
: bounding box is a rectangle with x = min x, y = min y, and width/height of shape#==(other)
: Returnstrue
if equal toother
orfalse
otherwise#contain?(x_or_point, y=nil, outline: false, distance_tolerance: 0)
: checks if point is inside whenoutline
isfalse
or if point is on the outline whenoutline
istrue
.distance_tolerance
can be used as a fuzz factor whenoutline
istrue
, for example, to help GUI users mouse-click-select a rectangle shape from its outline more successfully#intersect?(rectangle)
: Returnstrue
if intersecting with interior of rectangle orfalse
otherwise. This is useful for GUI optimization checks of whether a shape appears in a GUI viewport rectangle and needs redrawing#edges
: edges of rectangle asPerfectShape::Line
objects#out_state(x_or_point, y = nil)
: Returns "out state" of specified point (x,y) (whether it lies to the left, right, top, bottom of rectangle). If point is outside rectangle, it returns a bit mask combination ofRectangle::OUT_LEFT
,Rectangle::OUT_RIGHT
,Rectangle::OUT_TOP
, orRectangle::OUT_BOTTOM
. Otherwise, it returns0
if point is inside the rectangle.#empty?
: Returnstrue
if width or height are 0 (or negative) andfalse
otherwise#to_path_shapes
: ConvertsRectangle
into basicPath
shapes made up ofPoint
s andLine
s. Used byPath
when adding aRectangle
toPath
shapes
Example:
require 'perfect-shape'
shape = PerfectShape::Rectangle.new(x: 15, y: 30, width: 200, height: 100)
shape.contain?(115, 80) # => true
shape.contain?([115, 80]) # => true
shape.contain?(115, 80, outline: true) # => false
shape.contain?([115, 80], outline: true) # => false
shape.contain?(115, 30, outline: true) # => true
shape.contain?([115, 30], outline: true) # => true
shape.contain?(115, 31, outline: true) # => false
shape.contain?([115, 31], outline: true) # => false
shape.contain?(115, 31, outline: true, distance_tolerance: 1) # => true
shape.contain?([115, 31], outline: true, distance_tolerance: 1) # => true
PerfectShape::Square
Class
Extends PerfectShape::Rectangle
::new(x: 0, y: 0, length: 1)
(length
alias:size
): constructs a square#x
: top-left x#y
: top-left y#length
: length#width
: width (equal to length)#height
: height (equal to length)#center_point
: center point asArray
of[center_x, center_y]
coordinates#center_x
: center x#center_y
: center y#min_x
: min x#min_y
: min y#max_x
: max x#max_y
: max y#bounding_box
: bounding box is a rectangle with x = min x, y = min y, and width/height of shape#==(other)
: Returnstrue
if equal toother
orfalse
otherwise#contain?(x_or_point, y=nil, outline: false, distance_tolerance: 0)
: checks if point is inside whenoutline
isfalse
or if point is on the outline whenoutline
istrue
.distance_tolerance
can be used as a fuzz factor whenoutline
istrue
, for example, to help GUI users mouse-click-select a square shape from its outline more successfully#intersect?(rectangle)
: Returnstrue
if intersecting with interior of rectangle orfalse
otherwise. This is useful for GUI optimization checks of whether a shape appears in a GUI viewport rectangle and needs redrawing#edges
: edges of square asPerfectShape::Line
objects#empty?
: Returnstrue
if length is 0 (or negative) andfalse
otherwise#to_path_shapes
: ConvertsSquare
into basicPath
shapes made up ofPoint
s andLine
s. Used byPath
when adding aSquare
toPath
shapes
Example:
require 'perfect-shape'
shape = PerfectShape::Square.new(x: 15, y: 30, length: 200)
shape.contain?(115, 130) # => true
shape.contain?([115, 130]) # => true
shape.contain?(115, 130, outline: true) # => false
shape.contain?([115, 130], outline: true) # => false
shape.contain?(115, 30, outline: true) # => true
shape.contain?([115, 30], outline: true) # => true
shape.contain?(115, 31, outline: true) # => false
shape.contain?([115, 31], outline: true) # => false
shape.contain?(115, 31, outline: true, distance_tolerance: 1) # => true
shape.contain?([115, 31], outline: true, distance_tolerance: 1) # => true
PerfectShape::Arc
Class
Extends PerfectShape::Shape
Includes PerfectShape::RectangularShape
Arcs can be of type :open
, :chord
, or :pie
Open Arc | Chord Arc | Pie Arc |
---|---|---|
::new(type: :open, x: 0, y: 0, width: 1, height: 1, start: 0, extent: 360, center_x: nil, center_y: nil, radius_x: nil, radius_y: nil)
: constructs an arc of type:open
(default),:chord
, or:pie
#type
::open
,:chord
, or:pie
#x
: top-left x#y
: top-left y#width
: width#height
: height#start
: start angle in degrees#extent
: extent angle in degrees#center_point
: center point asArray
of[center_x, center_y]
coordinates#start_point
: start point asArray
of (x,y) coordinates#end_point
: end point asArray
of (x,y) coordinates#center_x
: center x#center_y
: center y#radius_x
: radius along the x-axis#radius_y
: radius along the y-axis#min_x
: min x#min_y
: min y#max_x
: max x#max_y
: max y#bounding_box
: bounding box is a rectangle with x = min x, y = min y, and width/height of shape#==(other)
: Returnstrue
if equal toother
orfalse
otherwise#contain?(x_or_point, y=nil, outline: false, distance_tolerance: 0)
: checks if point is inside whenoutline
isfalse
or if point is on the outline whenoutline
istrue
.distance_tolerance
can be used as a fuzz factor whenoutline
istrue
, for example, to help GUI users mouse-click-select an arc shape from its outline more successfully#intersect?(rectangle)
: Returnstrue
if intersecting with interior of rectangle orfalse
otherwise. This is useful for GUI optimization checks of whether a shape appears in a GUI viewport rectangle and needs redrawing#contain_angle?(angle)
: returnstrue
if the angle is within the angular extents of the arc andfalse
otherwise#to_path_shapes
: ConvertsArc
into basicPath
shapes made up ofPoint
s,Line
s, andCubicBezierCurve
s. Used byPath
when adding anArc
toPath
shapes
#btan(increment)
: btan computes the length (k) of the control segments at the beginning and end of a cubic bezier that approximates a segment of an arc with extent less than or equal to 90 degrees. This length (k) will be used to generate the 2 bezier control points for such a segment.
Example:
require 'perfect-shape'
shape = PerfectShape::Arc.new(type: :open, x: 2, y: 3, width: 50, height: 60, start: 45, extent: 270)
shape2 = PerfectShape::Arc.new(type: :open, center_x: 2 + 25, center_y: 3 + 30, radius_x: 25, radius_y: 30, start: 45, extent: 270)
shape.contain?(39.5, 33.0) # => true
shape.contain?([39.5, 33.0]) # => true
shape2.contain?(39.5, 33.0) # => true
shape2.contain?([39.5, 33.0]) # => true
shape.contain?(39.5, 33.0, outline: true) # => false
shape.contain?([39.5, 33.0], outline: true) # => false
shape2.contain?(39.5, 33.0, outline: true) # => false
shape2.contain?([39.5, 33.0], outline: true) # => false
shape.contain?(2.0, 33.0, outline: true) # => true
shape.contain?([2.0, 33.0], outline: true) # => true
shape2.contain?(2.0, 33.0, outline: true) # => true
shape2.contain?([2.0, 33.0], outline: true) # => true
shape.contain?(3.0, 33.0, outline: true) # => false
shape.contain?([3.0, 33.0], outline: true) # => false
shape2.contain?(3.0, 33.0, outline: true) # => false
shape2.contain?([3.0, 33.0], outline: true) # => false
shape.contain?(3.0, 33.0, outline: true, distance_tolerance: 1.0) # => true
shape.contain?([3.0, 33.0], outline: true, distance_tolerance: 1.0) # => true
shape2.contain?(3.0, 33.0, outline: true, distance_tolerance: 1.0) # => true
shape2.contain?([3.0, 33.0], outline: true, distance_tolerance: 1.0) # => true
shape.contain?(shape.center_x, shape.center_y, outline: true) # => false
shape.contain?([shape.center_x, shape.center_y], outline: true) # => false
shape2.contain?(shape2.center_x, shape2.center_y, outline: true) # => false
shape2.contain?([shape2.center_x, shape2.center_y], outline: true) # => false
shape3 = PerfectShape::Arc.new(type: :chord, x: 2, y: 3, width: 50, height: 60, start: 45, extent: 270)
shape4 = PerfectShape::Arc.new(type: :chord, center_x: 2 + 25, center_y: 3 + 30, radius_x: 25, radius_y: 30, start: 45, extent: 270)
shape3.contain?(39.5, 33.0) # => true
shape3.contain?([39.5, 33.0]) # => true
shape4.contain?(39.5, 33.0) # => true
shape4.contain?([39.5, 33.0]) # => true
shape3.contain?(39.5, 33.0, outline: true) # => false
shape3.contain?([39.5, 33.0], outline: true) # => false
shape4.contain?(39.5, 33.0, outline: true) # => false
shape4.contain?([39.5, 33.0], outline: true) # => false
shape3.contain?(2.0, 33.0, outline: true) # => true
shape3.contain?([2.0, 33.0], outline: true) # => true
shape4.contain?(2.0, 33.0, outline: true) # => true
shape4.contain?([2.0, 33.0], outline: true) # => true
shape3.contain?(3.0, 33.0, outline: true) # => false
shape3.contain?([3.0, 33.0], outline: true) # => false
shape4.contain?(3.0, 33.0, outline: true) # => false
shape4.contain?([3.0, 33.0], outline: true) # => false
shape3.contain?(3.0, 33.0, outline: true, distance_tolerance: 1.0) # => true
shape3.contain?([3.0, 33.0], outline: true, distance_tolerance: 1.0) # => true
shape4.contain?(3.0, 33.0, outline: true, distance_tolerance: 1.0) # => true
shape4.contain?([3.0, 33.0], outline: true, distance_tolerance: 1.0) # => true
shape3.contain?(shape3.center_x, shape3.center_y, outline: true) # => false
shape3.contain?([shape3.center_x, shape3.center_y], outline: true) # => false
shape4.contain?(shape4.center_x, shape4.center_y, outline: true) # => false
shape4.contain?([shape4.center_x, shape4.center_y], outline: true) # => false
shape5 = PerfectShape::Arc.new(type: :pie, x: 2, y: 3, width: 50, height: 60, start: 45, extent: 270)
shape6 = PerfectShape::Arc.new(type: :pie, center_x: 2 + 25, center_y: 3 + 30, radius_x: 25, radius_y: 30, start: 45, extent: 270)
shape5.contain?(39.5, 33.0) # => false
shape5.contain?([39.5, 33.0]) # => false
shape6.contain?(39.5, 33.0) # => false
shape6.contain?([39.5, 33.0]) # => false
shape5.contain?(9.5, 33.0) # => true
shape5.contain?([9.5, 33.0]) # => true
shape6.contain?(9.5, 33.0) # => true
shape6.contain?([9.5, 33.0]) # => true
shape5.contain?(39.5, 33.0, outline: true) # => false
shape5.contain?([39.5, 33.0], outline: true) # => false
shape6.contain?(39.5, 33.0, outline: true) # => false
shape6.contain?([39.5, 33.0], outline: true) # => false
shape5.contain?(2.0, 33.0, outline: true) # => true
shape5.contain?([2.0, 33.0], outline: true) # => true
shape6.contain?(2.0, 33.0, outline: true) # => true
shape6.contain?([2.0, 33.0], outline: true) # => true
shape5.contain?(3.0, 33.0, outline: true) # => false
shape5.contain?([3.0, 33.0], outline: true) # => false
shape6.contain?(3.0, 33.0, outline: true) # => false
shape6.contain?([3.0, 33.0], outline: true) # => false
shape5.contain?(3.0, 33.0, outline: true, distance_tolerance: 1.0) # => true
shape5.contain?([3.0, 33.0], outline: true, distance_tolerance: 1.0) # => true
shape6.contain?(3.0, 33.0, outline: true, distance_tolerance: 1.0) # => true
shape6.contain?([3.0, 33.0], outline: true, distance_tolerance: 1.0) # => true
shape5.contain?(shape5.center_x, shape5.center_y, outline: true) # => true
shape5.contain?([shape5.center_x, shape5.center_y], outline: true) # => true
shape6.contain?(shape6.center_x, shape6.center_y, outline: true) # => true
shape6.contain?([shape6.center_x, shape6.center_y], outline: true) # => true
PerfectShape::Ellipse
Class
Extends PerfectShape::Arc
::new(x: 0, y: 0, width: 1, height: 1, center_x: nil, center_y: nil, radius_x: nil, radius_y: nil)
: constructs an ellipse#x
: top-left x#y
: top-left y#width
: width#height
: height#center_point
: center point asArray
of[center_x, center_y]
coordinates#center_x
: center x#center_y
: center y#radius_x
: radius along the x-axis#radius_y
: radius along the y-axis#type
: always:open
#start
: always0
#extent
: always360
#min_x
: min x#min_y
: min y#max_x
: max x#max_y
: max y#bounding_box
: bounding box is a rectangle with x = min x, y = min y, and width/height of shape#==(other)
: Returnstrue
if equal toother
orfalse
otherwise#contain?(x_or_point, y=nil, outline: false, distance_tolerance: 0)
: checks if point is inside whenoutline
isfalse
or if point is on the outline whenoutline
istrue
.distance_tolerance
can be used as a fuzz factor whenoutline
istrue
, for example, to help GUI users mouse-click-select an ellipse shape from its outline more successfully#intersect?(rectangle)
: Returnstrue
if intersecting with interior of rectangle orfalse
otherwise. This is useful for GUI optimization checks of whether a shape appears in a GUI viewport rectangle and needs redrawing#to_path_shapes
: ConvertsEllipse
into basicPath
shapes made up ofPoint
s,Line
s, andCubicBezierCurve
s. Used byPath
when adding anEllipse
toPath
shapes
Example:
require 'perfect-shape'
shape = PerfectShape::Ellipse.new(x: 2, y: 3, width: 50, height: 60)
shape2 = PerfectShape::Ellipse.new(center_x: 27, center_y: 33, radius_x: 25, radius_y: 30)
shape.contain?(27, 33) # => true
shape.contain?([27, 33]) # => true
shape2.contain?(27, 33) # => true
shape2.contain?([27, 33]) # => true
shape.contain?(27, 33, outline: true) # => false
shape.contain?([27, 33], outline: true) # => false
shape2.contain?(27, 33, outline: true) # => false
shape2.contain?([27, 33], outline: true) # => false
shape.contain?(2, 33, outline: true) # => true
shape.contain?([2, 33], outline: true) # => true
shape2.contain?(2, 33, outline: true) # => true
shape2.contain?([2, 33], outline: true) # => true
shape.contain?(1, 33, outline: true) # => false
shape.contain?([1, 33], outline: true) # => false
shape2.contain?(1, 33, outline: true) # => false
shape2.contain?([1, 33], outline: true) # => false
shape.contain?(1, 33, outline: true, distance_tolerance: 1) # => true
shape.contain?([1, 33], outline: true, distance_tolerance: 1) # => true
shape2.contain?(1, 33, outline: true, distance_tolerance: 1) # => true
shape2.contain?([1, 33], outline: true, distance_tolerance: 1) # => true
PerfectShape::Circle
Class
Extends PerfectShape::Ellipse
::new(x: 0, y: 0, diameter: 1, width: 1, height: 1, center_x: nil, center_y: nil, radius: nil, radius_x: nil, radius_y: nil)
: constructs a circle#x
: top-left x#y
: top-left y#diameter
: diameter#width
: width (equal to diameter)#height
: height (equal to diameter)#center_point
: center point asArray
of[center_x, center_y]
coordinates#center_x
: center x#center_y
: center y#radius
: radius#radius_x
: radius along the x-axis (equal to radius)#radius_y
: radius along the y-axis (equal to radius)#type
: always:open
#start
: always0
#extent
: always360
#min_x
: min x#min_y
: min y#max_x
: max x#max_y
: max y#bounding_box
: bounding box is a rectangle with x = min x, y = min y, and width/height of shape#==(other)
: Returnstrue
if equal toother
orfalse
otherwise#contain?(x_or_point, y=nil, outline: false, distance_tolerance: 0)
: checks if point is inside whenoutline
isfalse
or if point is on the outline whenoutline
istrue
.distance_tolerance
can be used as a fuzz factor whenoutline
istrue
, for example, to help GUI users mouse-click-select a circle shape from its outline more successfully#intersect?(rectangle)
: Returnstrue
if intersecting with interior of rectangle orfalse
otherwise. This is useful for GUI optimization checks of whether a shape appears in a GUI viewport rectangle and needs redrawing#to_path_shapes
: ConvertsCircle
into basicPath
shapes made up ofPoint
s,Line
s, andCubicBezierCurve
s. Used byPath
when adding aCircle
toPath
shapes
Example:
require 'perfect-shape'
shape = PerfectShape::Circle.new(x: 2, y: 3, diameter: 60)
shape2 = PerfectShape::Circle.new(center_x: 2 + 30, center_y: 3 + 30, radius: 30)
shape.contain?(32, 33) # => true
shape.contain?([32, 33]) # => true
shape2.contain?(32, 33) # => true
shape2.contain?([32, 33]) # => true
shape.contain?(32, 33, outline: true) # => false
shape.contain?([32, 33], outline: true) # => false
shape2.contain?(32, 33, outline: true) # => false
shape2.contain?([32, 33], outline: true) # => false
shape.contain?(2, 33, outline: true) # => true
shape.contain?([2, 33], outline: true) # => true
shape2.contain?(2, 33, outline: true) # => true
shape2.contain?([2, 33], outline: true) # => true
shape.contain?(1, 33, outline: true) # => false
shape.contain?([1, 33], outline: true) # => false
shape2.contain?(1, 33, outline: true) # => false
shape2.contain?([1, 33], outline: true) # => false
shape.contain?(1, 33, outline: true, distance_tolerance: 1) # => true
shape.contain?([1, 33], outline: true, distance_tolerance: 1) # => true
shape2.contain?(1, 33, outline: true, distance_tolerance: 1) # => true
shape2.contain?([1, 33], outline: true, distance_tolerance: 1) # => true
PerfectShape::Polygon
Class
Extends PerfectShape::Shape
Includes PerfectShape::MultiPoint
A polygon can be thought of as a special case of path, consisting of lines only, is closed, and has the Even-Odd winding rule by default.
::new(points: [], winding_rule: :wind_even_odd)
: constructs a polygon withpoints
asArray
ofArray
s of[x,y]
pairs or flattenedArray
of alternating x and y coordinates and specified winding rule (:wind_even_odd
or:wind_non_zero
)#min_x
: min x#min_y
: min y#max_x
: max x#max_y
: max y#width
: width (from min x to max x)#height
: height (from min y to max y)#center_point
: center point asArray
of[center_x, center_y]
coordinates#center_x
: center x#center_y
: center y#bounding_box
: bounding box is a rectangle with x = min x, y = min y, and width/height of shape#==(other)
: Returnstrue
if equal toother
orfalse
otherwise#contain?(x_or_point, y=nil, outline: false, distance_tolerance: 0)
: Whenoutline
isfalse
, it checks if point is inside using either the Ray Casting Algorithm (aka Even-Odd Rule) or Winding Number Algorithm (aka Nonzero-Rule). Otherwise, whenoutline
istrue
, it checks if point is on the outline.distance_tolerance
can be used as a fuzz factor whenoutline
istrue
, for example, to help GUI users mouse-click-select a polygon shape from its outline more successfully#intersect?(rectangle)
: Returnstrue
if intersecting with interior of rectangle orfalse
otherwise. This is useful for GUI optimization checks of whether a shape appears in a GUI viewport rectangle and needs redrawing#edges
: edges of polygon asPerfectShape::Line
objects
Example:
require 'perfect-shape'
shape = PerfectShape::Polygon.new(points: [[200, 150], [270, 170], [250, 220], [220, 190], [200, 200], [180, 170]])
shape.contain?(225, 185) # => true
shape.contain?([225, 185]) # => true
shape.contain?(225, 185, outline: true) # => false
shape.contain?([225, 185], outline: true) # => false
shape.contain?(200, 150, outline: true) # => true
shape.contain?([200, 150], outline: true) # => true
shape.contain?(200, 151, outline: true) # => false
shape.contain?([200, 151], outline: true) # => false
shape.contain?(200, 151, outline: true, distance_tolerance: 1) # => true
shape.contain?([200, 151], outline: true, distance_tolerance: 1) # => true
PerfectShape::Path
Class
Extends PerfectShape::Shape
Includes PerfectShape::MultiPoint
::new(shapes: [], closed: false, winding_rule: :wind_even_odd, line_to_complex_shapes: false)
: constructs a path withshapes
asArray
of shape objects, which can bePerfectShape::Point
(orArray
of[x, y]
coordinates),PerfectShape::Line
,PerfectShape::QuadraticBezierCurve
,PerfectShape::CubicBezierCurve
, or complex shapes that decompose into the aforementioned basic path shapes, likePerfectShape::Arc
,PerfectShape::Ellipse
,PerfectShape::Circle
,PerfectShape::Rectangle
, andPerfectShape::Square
. If a path is closed, its last point is automatically connected to its first point with a line segment. The winding rule can be:wind_non_zero
(default) or:wind_even_odd
.line_to_complex_shapes
can betrue
orfalse
(default), indicating whether to connect to complex shapes, meaningArc
,Ellipse
,Circle
,Rectangle
, andSquare
, with a line, or otherwise move to their start point instead.#shapes
: the shapes that the path is composed of (must always start withPerfectShape::Point
or Array of[x,y]
coordinates representing start point)#basic_shapes
: the basic shapes that the path is composed of, meaning onlyPoint
,Line
,QuadraticBezierCurve
, andCubicBezierCurve
shapes (decomposing complex shapes likeArc
,Ellipse
,Circle
,Rectangle
, andSquare
, using their#to_path_shapes
method)#closed?
: returnstrue
if closed andfalse
otherwise#winding_rule
: returns winding rule (:wind_non_zero
or:wind_even_odd
)#points
: path points calculated (derived) from shapes#min_x
: min x#min_y
: min y#max_x
: max x#max_y
: max y#width
: width (from min x to max x)#height
: height (from min y to max y)#center_point
: center point asArray
of[center_x, center_y]
coordinates#center_x
: center x#center_y
: center y#bounding_box
: bounding box is a rectangle with x = min x, y = min y, and width/height of shape (bounding box only guarantees that the shape is within it, but it might be bigger than the shape)#==(other)
: Returnstrue
if equal toother
orfalse
otherwise#contain?(x_or_point, y=nil, outline: false, distance_tolerance: 0)
: Whenoutline
isfalse
, it checks if point is inside path utilizing the configured winding rule, which can be the Nonzero-Rule (aka Winding Number Algorithm) or the Even-Odd Rule (aka Ray Casting Algorithm). Otherwise, whenoutline
istrue
, it checks if point is on the outline.distance_tolerance
can be used as a fuzz factor whenoutline
istrue
, for example, to help GUI users mouse-click-select a path shape from its outline more successfully#intersect?(rectangle)
: Returnstrue
if intersecting with interior of rectangle orfalse
otherwise. This is useful for GUI optimization checks of whether a shape appears in a GUI viewport rectangle and needs redrawing#point_crossings(x_or_point, y=nil)
: calculates the number of times the given path crosses the ray extending to the right from (x,y)#disconnected_shapes
: Disconnected shapes have their start point filled in so that each shape does not depend on the previous shape to determine its start point. Also, if a point is followed by a non-point shape, it is removed since it is augmented to the following shape as its start point. Lastly, if the path is closed, an extra shape is added to represent the line connecting the last point to the first
Example:
require 'perfect-shape'
path_shapes = []
path_shapes << PerfectShape::Point.new(x: 200, y: 150)
path_shapes << PerfectShape::Line.new(points: [250, 170]) # no need for start point, just end point
path_shapes << PerfectShape::QuadraticBezierCurve.new(points: [[300, 185], [350, 150]]) # no need for start point, just control point and end point
path_shapes << PerfectShape::CubicBezierCurve.new(points: [[370, 50], [430, 220], [480, 170]]) # no need for start point, just two control points and end point
shape = PerfectShape::Path.new(shapes: path_shapes, closed: false, winding_rule: :wind_non_zero)
shape.contain?(275, 165) # => true
shape.contain?([275, 165]) # => true
shape.contain?(275, 165, outline: true) # => false
shape.contain?([275, 165], outline: true) # => false
shape.contain?(shape.disconnected_shapes[1].curve_center_x, shape.disconnected_shapes[1].curve_center_y, outline: true) # => true
shape.contain?([shape.disconnected_shapes[1].curve_center_x, shape.disconnected_shapes[1].curve_center_y], outline: true) # => true
shape.contain?(shape.disconnected_shapes[1].curve_center_x + 1, shape.disconnected_shapes[1].curve_center_y, outline: true) # => false
shape.contain?([shape.disconnected_shapes[1].curve_center_x + 1, shape.disconnected_shapes[1].curve_center_y], outline: true) # => false
shape.contain?(shape.disconnected_shapes[1].curve_center_x + 1, shape.disconnected_shapes[1].curve_center_y, outline: true, distance_tolerance: 1) # => true
shape.contain?([shape.disconnected_shapes[1].curve_center_x + 1, shape.disconnected_shapes[1].curve_center_y], outline: true, distance_tolerance: 1) # => true
PerfectShape::CompositeShape
Class
Extends PerfectShape::Shape
A composite shape is simply an aggregate of multiple shapes (e.g. square and triangle polygon)
::new(shapes: [])
: constructs a composite shape withshapes
asArray
ofPerfectShape::Shape
objects#shapes
: the shapes that the composite shape is composed of#min_x
: min x#min_y
: min y#max_x
: max x#max_y
: max y#width
: width (from min x to max x)#height
: height (from min y to max y)#center_point
: center point asArray
of[center_x, center_y]
coordinates#center_x
: center x#center_y
: center y#bounding_box
: bounding box is a rectangle with x = min x, y = min y, and width/height of shape (bounding box only guarantees that the shape is within it, but it might be bigger than the shape)#==(other)
: Returnstrue
if equal toother
orfalse
otherwise#contain?(x_or_point, y=nil, outline: false, distance_tolerance: 0)
: Whenoutline
isfalse
, it checks if point is inside any of the shapes owned by the composite shape. Otherwise, whenoutline
istrue
, it checks if point is on the outline of any of the shapes owned by the composite shape.distance_tolerance
can be used as a fuzz factor whenoutline
istrue
, for example, to help GUI users mouse-click-select a composite shape from its outline more successfully#intersect?(rectangle)
: Returnstrue
if intersecting with interior of rectangle orfalse
otherwise. This is useful for GUI optimization checks of whether a shape appears in a GUI viewport rectangle and needs redrawing
Example:
require 'perfect-shape'
shapes = []
shapes << PerfectShape::Square.new(x: 120, y: 215, length: 100)
shapes << PerfectShape::Polygon.new(points: [[120, 215], [170, 165], [220, 215]])
shape = PerfectShape::CompositeShape.new(shapes: shapes)
shape.contain?(170, 265) # => true inside square
shape.contain?([170, 265]) # => true inside square
shape.contain?(170, 265, outline: true) # => false
shape.contain?([170, 265], outline: true) # => false
shape.contain?(170, 315, outline: true) # => true
shape.contain?([170, 315], outline: true) # => true
shape.contain?(170, 316, outline: true) # => false
shape.contain?([170, 316], outline: true) # => false
shape.contain?(170, 316, outline: true, distance_tolerance: 1) # => true
shape.contain?([170, 316], outline: true, distance_tolerance: 1) # => true
shape.contain?(170, 190) # => true inside polygon
shape.contain?([170, 190]) # => true inside polygon
shape.contain?(170, 190, outline: true) # => false
shape.contain?([170, 190], outline: true) # => false
shape.contain?(145, 190, outline: true) # => true
shape.contain?([145, 190], outline: true) # => true
shape.contain?(145, 189, outline: true) # => false
shape.contain?([145, 189], outline: true) # => false
shape.contain?(145, 189, outline: true, distance_tolerance: 1) # => true
shape.contain?([145, 189], outline: true, distance_tolerance: 1) # => true
Process
Resources
- Rubydoc: https://www.rubydoc.info/gems/perfect-shape
- Point in Polygon: https://en.wikipedia.org/wiki/Point_in_polygon
- Even-Odd Rule: https://en.wikipedia.org/wiki/Even%E2%80%93odd_rule
- Nonzero Rule: https://en.wikipedia.org/wiki/Nonzero-rule
- IEEE 754-1985 Remainder: https://en.wikipedia.org/wiki/IEEE_754-1985
TODO
[TODO.md](TODO.md)
Change Log
[CHANGELOG.md](CHANGELOG.md)
Contributing
- Check out the latest master to make sure the feature hasn't been implemented or the bug hasn't been fixed yet.
- Check out the issue tracker to make sure someone already hasn't requested it and/or contributed it.
- Fork the project.
- Start a feature/bugfix branch.
- Commit and push until you are happy with your contribution.
- Make sure to add tests for it. This is important so I don't break it in a future version unintentionally.
- Please try not to mess with the Rakefile, version, or history. If you want to have your own version, or is otherwise necessary, that is fine, but please isolate to its own commit so I can cherry-pick around it.
Copyright
[MIT](LICENSE.txt)
Copyright (c) 2021-2022 Andy Maleh. See [LICENSE.txt](LICENSE.txt) for further details.
*Note that all licence references and agreements mentioned in the Perfect Shape README section above
are relevant to that project's source code only.