From 47525f364df4f560e48fdf7a3608f77e35cdca7b Mon Sep 17 00:00:00 2001 From: Sebastian Hugentobler Date: Thu, 3 Apr 2014 09:15:25 +0200 Subject: [PATCH] initial commit --- .gitignore | 2 + Makefile | 20 + src/30log.lua | 30 ++ src/assets/characters/matty.png | Bin 0 -> 75352 bytes src/assets/characters/player.png | Bin 0 -> 75352 bytes src/assets/map.lua | 285 ++++++++++++ src/assets/map.tmx | 44 ++ src/assets/tiles/atlas00.png | Bin 0 -> 336363 bytes src/assets/tiles/atlas01.png | Bin 0 -> 215612 bytes src/assets/tiles/atlas03.png | Bin 0 -> 185359 bytes src/assets/tiles/atlas04.png | Bin 0 -> 259774 bytes src/assets/ui/menu_back.jpg | Bin 0 -> 92839 bytes src/character.lua | 58 +++ src/characters/matty.lua | 8 + src/characters/player.lua | 14 + src/conf.lua | 32 ++ src/controllers/gridwalker.lua | 92 ++++ src/hardoncollider/README | 4 + src/hardoncollider/class.lua | 99 +++++ src/hardoncollider/gjk.lua | 193 +++++++++ src/hardoncollider/init.lua | 310 +++++++++++++ src/hardoncollider/polygon.lua | 474 ++++++++++++++++++++ src/hardoncollider/shapes.lua | 466 ++++++++++++++++++++ src/hardoncollider/spatialhash.lua | 159 +++++++ src/hardoncollider/vector-light.lua | 138 ++++++ src/main.lua | 104 +++++ src/sti.lua | 645 ++++++++++++++++++++++++++++ src/ui.lua | 4 + 28 files changed, 3181 insertions(+) create mode 100644 .gitignore create mode 100644 Makefile create mode 100755 src/30log.lua create mode 100644 src/assets/characters/matty.png create mode 100644 src/assets/characters/player.png create mode 100644 src/assets/map.lua create mode 100644 src/assets/map.tmx create mode 100755 src/assets/tiles/atlas00.png create mode 100755 src/assets/tiles/atlas01.png create mode 100755 src/assets/tiles/atlas03.png create mode 100755 src/assets/tiles/atlas04.png create mode 100644 src/assets/ui/menu_back.jpg create mode 100644 src/character.lua create mode 100644 src/characters/matty.lua create mode 100644 src/characters/player.lua create mode 100644 src/conf.lua create mode 100644 src/controllers/gridwalker.lua create mode 100755 src/hardoncollider/README create mode 100755 src/hardoncollider/class.lua create mode 100755 src/hardoncollider/gjk.lua create mode 100755 src/hardoncollider/init.lua create mode 100755 src/hardoncollider/polygon.lua create mode 100755 src/hardoncollider/shapes.lua create mode 100755 src/hardoncollider/spatialhash.lua create mode 100755 src/hardoncollider/vector-light.lua create mode 100644 src/main.lua create mode 100644 src/sti.lua create mode 100644 src/ui.lua diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..2f34808 --- /dev/null +++ b/.gitignore @@ -0,0 +1,2 @@ +build/* +.DS_Store diff --git a/Makefile b/Makefile new file mode 100644 index 0000000..e79fd8d --- /dev/null +++ b/Makefile @@ -0,0 +1,20 @@ +ZIP := zip +LOVE := love + +NAME := ds_alpha +VERSION := 0.0.1 + +SRCDIR := src +BUILDDIR := build + +.PHONY : all +all : love + +love : + cd $(SRCDIR)/ && \ + $(ZIP) -9 -r ../$(BUILDDIR)/$(NAME)_$(VERSION).love . + +run : + $(LOVE) $(SRCDIR)/ +clean : + rm -rf $(BUILDDIR)/* diff --git a/src/30log.lua b/src/30log.lua new file mode 100755 index 0000000..0325c29 --- /dev/null +++ b/src/30log.lua @@ -0,0 +1,30 @@ +local assert, pairs, type, tostring, setmetatable = assert, pairs, type, tostring, setmetatable +local baseMt, _instances, _classes, class = {}, setmetatable({},{__mode='k'}), setmetatable({},{__mode='k'}) +local function deep_copy(t, dest, aType) + local t, r = t or {}, dest or {} + for k,v in pairs(t) do + if aType and type(v)==aType then r[k] = v elseif not aType then + if type(v) == 'table' and k ~= "__index" then r[k] = deep_copy(v) else r[k] = v end + end + end; return r +end +local function instantiate(self,...) + assert(_classes[self],'new() should be called from a class.') + local instance = deep_copy(self) ; _instances[instance] = tostring(instance); setmetatable(instance,self) + if self.__init then if type(self.__init) == 'table' then deep_copy(self.__init, instance) else self.__init(instance, ...) end; end; return instance +end +local function extends(self,extra_params) + local heir = {}; _classes[heir] = tostring(heir); deep_copy(extra_params, deep_copy(self, heir)); + heir.__index, heir.super = heir, self; return setmetatable(heir,self) +end +baseMt = { __call = function (self,...) return self:new(...) end, __tostring = function(self,...) + if _instances[self] then return ('object(of %s):<%s>'):format((rawget(getmetatable(self),'__name') or '?'), _instances[self]) end + return _classes[self] and ('class(%s):<%s>'):format((rawget(self,'__name') or '?'),_classes[self]) or self +end} +class = function(attr) + local c = deep_copy(attr) ; _classes[c] = tostring(c); + c.include = function(self,include) assert(_classes[self], 'Mixins can only be used on classes.'); return deep_copy(include, self, 'function') end + c.new, c.extends, c.__index, c.__call, c.__tostring = instantiate, extends, c, baseMt.__call, baseMt.__tostring; + c.is = function(self, kind) local super; while true do super = getmetatable(super or self) ; if super == kind or super == nil then break end ; end; + return kind and (super == kind) end; return setmetatable(c,baseMt) +end; return class diff --git a/src/assets/characters/matty.png b/src/assets/characters/matty.png new file mode 100644 index 0000000000000000000000000000000000000000..7b4f225d972ae225b086f565570cb9ae5d1f0868 GIT binary patch literal 75352 zcmb@uc|4SB{679@%2cv+Dk_OqrI3n>m{F-z;Y%YJ z+enKods&(o%5KKUGGom4dp|no^Q&{d|9w8^^*YCS@jUnPe(vYKuj_hW@8_Du;eE1m zm(E2HMAmfwo+Ai?!6V2l{A_9Xjbrw9e*{rOO!pWc^MAlS>jJ9Uf$GMeaPhk~a8RQ%`YWwY~v;3g?cz5+xVfo{g zO#c#9HHX-h&xP;keIXrJZyfp!2KK-G2QL$~`_%d2J-cfYTq?Tj?=KVuChCnwQH9;= z^g1De>~n7@)F&H>XyR9_caiX09KVvY1&5TzRzB2e`06Y}u#_s&C)jU*eE`*#@`hsnPC;cC-=h+;aE z5X#X!%jLX_d!2_|KJky+H2Tyg5lt(vzm4{8r_BDJdcCWN z*YwSM>7)slnL5v%5S-GwI6Y`{5|uB795$1?`D9CwbvDU*)}{w*a<+tKF2esb-4xa- za|2CE-sC&+nG@*md#VVu<~=dKOhL|=-`MBGE1NyZ2=cjc8_m}SdBbUF!wcFJOq>U$ zVG`oe?v~!KQ>;V#%-%QE5(x~ot;S9aF@oegd1vk{#b()Wn^j*sjF~|0hJSZ>fYAb4|jyyE8Xv@PPh)V3TrBOrKTh0@E()x=#6F$s1vk0$w zQRl~ydn#$Nk$T4LxbT&uZkWfk>u|zh)J_`h8MBzVrAG0UDd8dCj#e3H!)LqAR!&N$A@>|5 zSR~2K=B4|0H(dsA!b-L3)qGCuBpUw&V%+KY&%0Hj? zXoGHh8aCu@j<`0RU3k8)H!e*}+gWcJHkKeM{?z02%FD|vFOT!o%pxUX(8$H9RRS|U z08je)_g7Eb3P<#=W~@7_lQV1N%e5av^$x_I_Jy3JoI_qCaB-*S8j7uKcz(^-LM zgAex-N}7+&%szwhaLi%)4ZrJ*J^h0)p}8{sc2S7Hb=;bq9`sSD(U%e`kOeUbYhuR-_N>YnWw|0rc* z6T+D7>N})1x`E*?d*EBt>YgtUBbS4mn=LaYUr!i}atl>;7v&wE+X?&81ETu(?htNt(a|Z93@tbkHoq78O}5@03jC0smZzmgi}6@8_8zWCWXc>N*AK07 zr`Uv0b^Ms*#t-Ks~ypff);=#?jM(Qc%_K}yZj3TWF{^n?~ zg3pO=3579qqDC-BQcjNcQeS$WolibMjH$O(t)-8XY!EhQ`P*%8K1+8djmg_^SAUNo zU@7{D8!XrS(<*yNB2j^aL6*37v%M8w$l`Hhep4K|U5_k|iBl>WVtJ%=Iaf>!n$-yb zIzQDt3)YrRpuyWZGCwF_=d-jO%sp`>o9g&bB_~;_M29!Ux-q_iZq(>!;rZS5UCD|P zm>zrV@SX0;Zx7k&WG?r?>H&$EmcOLUR*KsEEitH}PN<{dMS|Uc64cfCN6f0Qy^ZLU zp1vCv9^|CVvT&YF2Jt$MRnc`aG4+$v*et7Neayca1(`@HeA=k3n zSQUv55#%4`3Rw~aX~{8eFn4S*Kbe1-RdcjFZmwg;<{QK!HM zPZ|xXh2>UeKP!t`w+Y@WqTLsC!7;g9tQ{=4Xwvda_EL?h_|V{qa+?z;?$&6RunvkB zW04;~OBaCF?UD5!Hi$X3NDXe@FZ0lDJX>`^zK9-dw2M6-Dydsk~*clZItgBBpSJ%zc_!&WI z+`E2EV^N#%>p}EixH9$8uDpzlbvzF72`+`+=UUWDLL>YS7<_i*c}0K!vm3W=J)M=- zv`djh7a5v=%jIEyf`z;DTx8|ttKYueQ{W9dP2D_s`F+RXkeLR4Mq?P{LDsBuCr|FW zrHa!kk5J_lAfKt>&yhPQjK%Ro(B1j?^JAy|{ZCv83+tKu{%y0Np(b1y)78~=OU9wO z&Ub3eWYtfDIv{hu_UptWWH4Pp=LdHB8xNO{>&@1@7^vz8ZxTl}KOg`0m~cAYR3SQ! zWvR#FsJ%^QQjEGfxw$`u<$sIQ|GD2`1Q6^syXz!FbLF1`wB;uh|A{|#-bWlfC0Txb z#ZQ;)wh@+<`T2;8zLfmwWUjMuYJ&T73%m0s+e`j5DG?9u=1--{Heu4Eih{tyWzvRr6kv54u zXHLYcU+!I~h|@gdyVpYE7M`4-a^ux64^DT-*5+fK0BO4$LOtNPJ1Fx&Tud_GF0
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tiles = {} + }, + { + name = "atlas01", + firstgid = 1025, + tilewidth = 32, + tileheight = 32, + spacing = 0, + margin = 0, + image = "tiles/atlas01.png", + imagewidth = 1024, + imageheight = 1024, + tileoffset = { + x = 0, + y = 0 + }, + properties = {}, + tiles = {} + }, + { + name = "atlas03", + firstgid = 2049, + tilewidth = 32, + tileheight = 32, + spacing = 0, + margin = 0, + image = "tiles/atlas03.png", + imagewidth = 1024, + imageheight = 1024, + tileoffset = { + x = 0, + y = 0 + }, + properties = {}, + tiles = {} + }, + { + name = "atlas04", + firstgid = 3073, + tilewidth = 32, + tileheight = 32, + spacing = 0, + margin = 0, + image = "tiles/atlas04.png", + imagewidth = 1024, + imageheight = 1024, + tileoffset = { + x = 0, + y = 0 + }, + properties = {}, + tiles = {} + } + }, + layers = { + { + type = "tilelayer", + name = "background", + x = 0, + y = 0, + width = 20, + height = 20, + visible = true, + opacity = 1, + properties = {}, + encoding = "lua", + data = { + 3204, 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zTi(I@Ob(&ziWPZCs7g&j>7vI%P;WQw&1Ff`eZ$9%^T9!ZO&y!|JekG5QzW) literal 0 HcmV?d00001 diff --git a/src/character.lua b/src/character.lua new file mode 100644 index 0000000..ca9963a --- /dev/null +++ b/src/character.lua @@ -0,0 +1,58 @@ +local character = {} + +character.width = 64 +character.height = 64 + +function character.sortNorthSouth(a, b) + return a.info.y < b.info.y +end + +character.spellcast_up = { + offsetX = 0, + offsetY = 0, + count = 9 +} + +character.spellcast_left = { + offsetX = 0, + offsetY = 1, + count = 9 +} + +character.spellcast_down = { + offsetX = 0, + offsetY = 2, + count = 9 +} + +character.spellcast_right = { + offsetX = 0, + offsetY = 3, + count = 9 +} + +character.walking_up = { + offsetX = 0, + offsetY = 8, + count = 9 +} + +character.walking_left = { + offsetX = 0, + offsetY = 9, + count = 9 +} + +character.walking_down = { + offsetX = 0, + offsetY = 10, + count = 9 +} + +character.walking_right = { + offsetX = 0, + offsetY = 11, + count = 9 +} + +return character diff --git a/src/characters/matty.lua b/src/characters/matty.lua new file mode 100644 index 0000000..f901bf0 --- /dev/null +++ b/src/characters/matty.lua @@ -0,0 +1,8 @@ +local character = require "../character" +local gridwalker = require "../controllers/gridwalker" + +return { + spritesheet = "assets/characters/matty.png", + pose = character.walking_down, + controller = Gridwalker() +} diff --git a/src/characters/player.lua b/src/characters/player.lua new file mode 100644 index 0000000..34d1094 --- /dev/null +++ b/src/characters/player.lua @@ -0,0 +1,14 @@ +local character = require "../character" +local gridwalker = require "../controllers/gridwalker" + +return { + spritesheet = "assets/characters/player.png", + pose = character.walking_up, + controller = Gridwalker(), + relevantKeys = { + "w", "up", + "s", "down", + "d", "right", + "a", "left" + } +} diff --git a/src/conf.lua b/src/conf.lua new file mode 100644 index 0000000..b21a0ea --- /dev/null +++ b/src/conf.lua @@ -0,0 +1,32 @@ +function love.conf(t) + t.identity = nil -- The name of the save directory (string) + t.version = "0.9.0" -- The LÖVE version this game was made for (string) + + t.window.title = "Die Streuner" -- The window title (string) + t.window.icon = nil -- Filepath to an image to use as the window's icon (string) + t.window.width = 640 -- The window width (number) + t.window.height = 640 -- The window height (number) + t.window.borderless = false -- Remove all border visuals from the window (boolean) + t.window.resizable = false -- Let the window be user-resizable (boolean) + t.window.fullscreen = false -- Enable fullscreen (boolean) + t.window.fullscreentype = "normal" -- Standard fullscreen or desktop fullscreen mode (string) + t.window.vsync = true -- Enable vertical sync (boolean) + t.window.fsaa = 0 -- The number of samples to use with multi-sampled antialiasing (number) + t.window.display = 1 -- Index of the monitor to show the window in (number) + t.window.highdpi = true -- Enable high-dpi mode for the window on a Retina display (boolean). Added in 0.9.1 + t.window.srgb = false -- Enable sRGB gamma correction when drawing to the screen (boolean). Added in 0.9.1 + + t.modules.audio = true -- Enable the audio module (boolean) + t.modules.event = true -- Enable the event module (boolean) + t.modules.graphics = true -- Enable the graphics module (boolean) + t.modules.image = true -- Enable the image module (boolean) + t.modules.joystick = true -- Enable the joystick module (boolean) + t.modules.keyboard = true -- Enable the keyboard module (boolean) + t.modules.math = true -- Enable the math module (boolean) + t.modules.mouse = true -- Enable the mouse module (boolean) + t.modules.physics = true -- Enable the physics module (boolean) + t.modules.sound = true -- Enable the sound module (boolean) + t.modules.system = true -- Enable the system module (boolean) + t.modules.timer = true -- Enable the timer module (boolean) + t.modules.window = true -- Enable the window module (boolean) +end diff --git a/src/controllers/gridwalker.lua b/src/controllers/gridwalker.lua new file mode 100644 index 0000000..ee05a8b --- /dev/null +++ b/src/controllers/gridwalker.lua @@ -0,0 +1,92 @@ +local character = require "../character" + +Gridwalker = class() + +Gridwalker.speed = 2 +Gridwalker.collisionTestSize = 12 +Gridwalker.neighbourOffsetX = (character.width - Gridwalker.collisionTestSize) / 2 +Gridwalker.neighbourOffsetY = character.width - Gridwalker.collisionTestSize * 1.5 +Gridwalker.testShape = nil +Gridwalker.charinfo = nil + +function Gridwalker:sendKey(key) + if key == "w" or key == "up" then + self:up() + end + + if key == "s" or key == "down" then + self:down() + end + + if key == "d" or key == "right" then + self:right() + end + + if key == "a" or key == "left" then + self:left() + end +end + +function Gridwalker:up() + local newX = self.charinfo.x + local newY = self.charinfo.y - self.speed + + self:move(newX, newY, character.walking_up) +end + +function Gridwalker:down() + local newX = self.charinfo.x + local newY = self.charinfo.y + self.speed + + self:move(newX, newY, character.walking_down) +end + +function Gridwalker:right() + local newX = self.charinfo.x + self.speed + local newY = self.charinfo.y + + self:move(newX, newY, character.walking_right) +end + +function Gridwalker:left() + local newX = self.charinfo.x - self.speed + local newY = self.charinfo.y + + self:move(newX, newY, character.walking_left) +end + +function Gridwalker:init() + self.testShape = collider:addRectangle(self.charinfo.x + self.neighbourOffsetX, self.charinfo.y + self.neighbourOffsetY, self.collisionTestSize, self.collisionTestSize) + collider:setPassive(self.testShape) +end + +function Gridwalker:setTestShape(x, y) + local testX = x + self.neighbourOffsetX + self.collisionTestSize / 2 + local testY = y + self.neighbourOffsetY + self.collisionTestSize / 2 + + self.testShape:moveTo(testX, testY) + + return testX, testY +end + +function Gridwalker:move(x, y, pose) + local noCollision = true + + local testX, testY = self:setTestShape(x, y) + + for other in pairs(collider:shapesInRange(testX, testY, testX + self.collisionTestSize, testY + self.collisionTestSize)) do + if self.testShape:collidesWith(other) then + noCollision = false + break + end + end + + if noCollision then + self.charinfo.x = x + self.charinfo.y = y + else + self:setTestShape(self.charinfo.x, self.charinfo.y) + end + + self.charinfo.pose = pose +end diff --git a/src/hardoncollider/README b/src/hardoncollider/README new file mode 100755 index 0000000..6c5f94c --- /dev/null +++ b/src/hardoncollider/README @@ -0,0 +1,4 @@ +General Purpose 2D Collision Detection System + +Documentation and examples here: +http://vrld.github.com/HardonCollider diff --git a/src/hardoncollider/class.lua b/src/hardoncollider/class.lua new file mode 100755 index 0000000..ce9a679 --- /dev/null +++ b/src/hardoncollider/class.lua @@ -0,0 +1,99 @@ +--[[ +Copyright (c) 2010-2011 Matthias Richter + +Permission is hereby granted, free of charge, to any person obtaining a copy +of this software and associated documentation files (the "Software"), to deal +in the Software without restriction, including without limitation the rights +to use, copy, modify, merge, publish, distribute, sublicense, and/or sell +copies of the Software, and to permit persons to whom the Software is +furnished to do so, subject to the following conditions: + +The above copyright notice and this permission notice shall be included in +all copies or substantial portions of the Software. + +Except as contained in this notice, the name(s) of the above copyright holders +shall not be used in advertising or otherwise to promote the sale, use or +other dealings in this Software without prior written authorization. + +THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR +IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, +FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE +AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER +LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, +OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN +THE SOFTWARE. +]]-- + +local function __NULL__() end + +-- class "inheritance" by copying functions +local function inherit(class, interface, ...) + if not interface then return end + assert(type(interface) == "table", "Can only inherit from other classes.") + + -- __index and construct are not overwritten as for them class[name] is defined + for name, func in pairs(interface) do + if not class[name] then + class[name] = func + end + end + for super in pairs(interface.__is_a or {}) do + class.__is_a[super] = true + end + + return inherit(class, ...) +end + +-- class builder +local function new(args) + local super = {} + local name = '' + local constructor = args or __NULL__ + if type(args) == "table" then + -- nasty hack to check if args.inherits is a table of classes or a class or nil + super = (args.inherits or {}).__is_a and {args.inherits} or args.inherits or {} + name = args.name or name + constructor = args[1] or __NULL__ + end + assert(type(constructor) == "function", 'constructor has to be nil or a function') + + -- build class + local class = {} + class.__index = class + class.__tostring = function() return (""):format(tostring(class)) end + class.construct = constructor or __NULL__ + class.inherit = inherit + class.__is_a = {[class] = true} + class.is_a = function(self, other) return not not self.__is_a[other] end + + -- inherit superclasses (see above) + inherit(class, unpack(super)) + + -- syntactic sugar + local meta = { + __call = function(self, ...) + local obj = {} + setmetatable(obj, self) + self.construct(obj, ...) + return obj + end, + __tostring = function() return name end + } + return setmetatable(class, meta) +end + +-- interface for cross class-system compatibility (see https://github.com/bartbes/Class-Commons). +if common_class ~= false and not common then + common = {} + function common.class(name, prototype, parent) + local init = prototype.init or (parent or {}).init + return new{name = name, inherits = {prototype, parent}, init} + end + function common.instance(class, ...) + return class(...) + end +end + +-- the module +return setmetatable({new = new, inherit = inherit}, + {__call = function(_,...) return new(...) end}) diff --git a/src/hardoncollider/gjk.lua b/src/hardoncollider/gjk.lua new file mode 100755 index 0000000..ebaad05 --- /dev/null +++ b/src/hardoncollider/gjk.lua @@ -0,0 +1,193 @@ +--[[ +Copyright (c) 2012 Matthias Richter + +Permission is hereby granted, free of charge, to any person obtaining a copy +of this software and associated documentation files (the "Software"), to deal +in the Software without restriction, including without limitation the rights +to use, copy, modify, merge, publish, distribute, sublicense, and/or sell +copies of the Software, and to permit persons to whom the Software is +furnished to do so, subject to the following conditions: + +The above copyright notice and this permission notice shall be included in +all copies or substantial portions of the Software. + +Except as contained in this notice, the name(s) of the above copyright holders +shall not be used in advertising or otherwise to promote the sale, use or +other dealings in this Software without prior written authorization. + +THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR +IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, +FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE +AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER +LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, +OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN +THE SOFTWARE. +]]-- + +local _PACKAGE = (...):match("^(.+)%.[^%.]+") +local vector = require(_PACKAGE .. '.vector-light') +local huge, abs = math.huge, math.abs + +local function support(shape_a, shape_b, dx, dy) + local x,y = shape_a:support(dx,dy) + return vector.sub(x,y, shape_b:support(-dx, -dy)) +end + +-- returns closest edge to the origin +local function closest_edge(simplex) + local e = {dist = huge} + + local i = #simplex-1 + for k = 1,#simplex-1,2 do + local ax,ay = simplex[i], simplex[i+1] + local bx,by = simplex[k], simplex[k+1] + i = k + + local ex,ey = vector.perpendicular(bx-ax, by-ay) + local nx,ny = vector.normalize(ex,ey) + local d = vector.dot(ax,ay, nx,ny) + + if d < e.dist then + e.dist = d + e.nx, e.ny = nx, ny + e.i = k + end + end + + return e +end + +local function EPA(shape_a, shape_b, simplex) + -- make sure simplex is oriented counter clockwise + local cx,cy, bx,by, ax,ay = unpack(simplex) + if vector.dot(ax-bx,ay-by, cx-bx,cy-by) < 0 then + simplex[1],simplex[2] = ax,ay + simplex[5],simplex[6] = cx,cy + end + + -- the expanding polytype algorithm + local is_either_circle = shape_a._center or shape_b._center + local last_diff_dist = huge + while true do + local e = closest_edge(simplex) + local px,py = support(shape_a, shape_b, e.nx, e.ny) + local d = vector.dot(px,py, e.nx, e.ny) + + local diff_dist = d - e.dist + if diff_dist < 1e-6 or (is_either_circle and abs(last_diff_dist - diff_dist) < 1e-10) then + return -d*e.nx, -d*e.ny + end + last_diff_dist = diff_dist + + -- simplex = {..., simplex[e.i-1], px, py, simplex[e.i] + table.insert(simplex, e.i, py) + table.insert(simplex, e.i, px) + end +end + +-- : : origin must be in plane between A and B +-- B o------o A since A is the furthest point on the MD +-- : : in direction of the origin. +local function do_line(simplex) + local bx,by, ax,ay = unpack(simplex) + + local abx,aby = bx-ax, by-ay + + local dx,dy = vector.perpendicular(abx,aby) + + if vector.dot(dx,dy, -ax,-ay) < 0 then + dx,dy = -dx,-dy + end + return simplex, dx,dy +end + +-- B .' +-- o-._ 1 +-- | `-. .' The origin can only be in regions 1, 3 or 4: +-- | 4 o A 2 A lies on the edge of the MD and we came +-- | _.-' '. from left of BC. +-- o-' 3 +-- C '. +local function do_triangle(simplex) + local cx,cy, bx,by, ax,ay = unpack(simplex) + local aox,aoy = -ax,-ay + local abx,aby = bx-ax, by-ay + local acx,acy = cx-ax, cy-ay + + -- test region 1 + local dx,dy = vector.perpendicular(abx,aby) + if vector.dot(dx,dy, acx,acy) > 0 then + dx,dy = -dx,-dy + end + if vector.dot(dx,dy, aox,aoy) > 0 then + -- simplex = {bx,by, ax,ay} + simplex[1], simplex[2] = bx,by + simplex[3], simplex[4] = ax,ay + simplex[5], simplex[6] = nil, nil + return simplex, dx,dy + end + + -- test region 3 + dx,dy = vector.perpendicular(acx,acy) + if vector.dot(dx,dy, abx,aby) > 0 then + dx,dy = -dx,-dy + end + if vector.dot(dx,dy, aox, aoy) > 0 then + -- simplex = {cx,cy, ax,ay} + simplex[3], simplex[4] = ax,ay + simplex[5], simplex[6] = nil, nil + return simplex, dx,dy + end + + -- must be in region 4 + return simplex +end + +local function GJK(shape_a, shape_b) + local ax,ay = support(shape_a, shape_b, 1,0) + if ax == 0 and ay == 0 then + -- only true if shape_a and shape_b are touching in a vertex, e.g. + -- .--- .---. + -- | A | .-. | B | support(A, 1,0) = x + -- '---x---. or : A :x---' support(B, -1,0) = x + -- | B | `-' => support(A,B,1,0) = x - x = 0 + -- '---' + -- Since CircleShape:support(dx,dy) normalizes dx,dy we have to opt + -- out or the algorithm blows up. In accordance to the cases below + -- choose to judge this situation as not colliding. + return false + end + + local simplex = {ax,ay} + local n = 2 + local dx,dy = -ax,-ay + + -- first iteration: line case + ax,ay = support(shape_a, shape_b, dx,dy) + if vector.dot(ax,ay, dx,dy) <= 0 then + return false + end + + simplex[n+1], simplex[n+2] = ax,ay + simplex, dx, dy = do_line(simplex, dx, dy) + n = 4 + + -- all other iterations must be the triangle case + while true do + ax,ay = support(shape_a, shape_b, dx,dy) + + if vector.dot(ax,ay, dx,dy) <= 0 then + return false + end + + simplex[n+1], simplex[n+2] = ax,ay + simplex, dx, dy = do_triangle(simplex, dx,dy) + n = #simplex + + if n == 6 then + return true, EPA(shape_a, shape_b, simplex) + end + end +end + +return GJK diff --git a/src/hardoncollider/init.lua b/src/hardoncollider/init.lua new file mode 100755 index 0000000..e96a9a3 --- /dev/null +++ b/src/hardoncollider/init.lua @@ -0,0 +1,310 @@ +--[[ +Copyright (c) 2011 Matthias Richter + +Permission is hereby granted, free of charge, to any person obtaining a copy +of this software and associated documentation files (the "Software"), to deal +in the Software without restriction, including without limitation the rights +to use, copy, modify, merge, publish, distribute, sublicense, and/or sell +copies of the Software, and to permit persons to whom the Software is +furnished to do so, subject to the following conditions: + +The above copyright notice and this permission notice shall be included in +all copies or substantial portions of the Software. + +Except as contained in this notice, the name(s) of the above copyright holders +shall not be used in advertising or otherwise to promote the sale, use or +other dealings in this Software without prior written authorization. + +THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR +IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, +FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE +AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER +LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, +OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN +THE SOFTWARE. +]]-- + +local _NAME, common_local = ..., common +if not (type(common) == 'table' and common.class and common.instance) then + assert(common_class ~= false, 'No class commons specification available.') + require(_NAME .. '.class') +end +local Shapes = require(_NAME .. '.shapes') +local Spatialhash = require(_NAME .. '.spatialhash') + +-- reset global table `common' (required by class commons) +if common_local ~= common then + common_local, common = common, common_local +end + +local newPolygonShape = Shapes.newPolygonShape +local newCircleShape = Shapes.newCircleShape +local newPointShape = Shapes.newPointShape + +local function __NULL__() end + +local HC = {} +function HC:init(cell_size, callback_collide, callback_stop) + self._active_shapes = {} + self._passive_shapes = {} + self._ghost_shapes = {} + self.groups = {} + self._colliding_only_last_frame = {} + + self.on_collide = callback_collide or __NULL__ + self.on_stop = callback_stop or __NULL__ + self._hash = common_local.instance(Spatialhash, cell_size) +end + +function HC:clear() + self._active_shapes = {} + self._passive_shapes = {} + self._ghost_shapes = {} + self.groups = {} + self._colliding_only_last_frame = {} + self._hash = common_local.instance(Spatialhash, self._hash.cell_size) + return self +end + +function HC:setCallbacks(collide, stop) + if type(collide) == "table" and not (getmetatable(collide) or {}).__call then + stop = collide.stop + collide = collide.collide + end + + if collide then + assert(type(collide) == "function" or (getmetatable(collide) or {}).__call, + "collision callback must be a function or callable table") + self.on_collide = collide + end + + if stop then + assert(type(stop) == "function" or (getmetatable(stop) or {}).__call, + "stop callback must be a function or callable table") + self.on_stop = stop + end + + return self +end + +function HC:addShape(shape) + assert(shape.bbox and shape.collidesWith, + "Cannot add custom shape: Incompatible shape.") + + self._active_shapes[shape] = shape + self._hash:insert(shape, shape:bbox()) + shape._groups = {} + + local hash = self._hash + local move, rotate,scale = shape.move, shape.rotate, shape.scale + for _, func in ipairs{'move', 'rotate', 'scale'} do + local old_func = shape[func] + shape[func] = function(self, ...) + local x1,y1,x2,y2 = self:bbox() + old_func(self, ...) + local x3,y3,x4,y4 = self:bbox() + hash:update(self, x1,y1, x2,y2, x3,y3, x4,y4) + end + end + + function shape:neighbors() + local neighbors = hash:inRange(self:bbox()) + rawset(neighbors, self, nil) + return neighbors + end + + function shape:_removeFromHash() + return hash:remove(shape, self:bbox()) + end + + function shape:inGroup(group) + return self._groups[group] + end + + return shape +end + +function HC:activeShapes() + return pairs(self._active_shapes) +end + +function HC:shapesInRange(x1,y1, x2,y2) + return self._hash:inRange(x1,y1, x2,y2) +end + +function HC:addPolygon(...) + return self:addShape(newPolygonShape(...)) +end + +function HC:addRectangle(x,y,w,h) + return self:addPolygon(x,y, x+w,y, x+w,y+h, x,y+h) +end + +function HC:addCircle(cx, cy, radius) + return self:addShape(newCircleShape(cx,cy, radius)) +end + +function HC:addPoint(x,y) + return self:addShape(newPointShape(x,y)) +end + +function HC:share_group(shape, other) + for name,group in pairs(shape._groups) do + if group[other] then return true end + end + return false +end + +-- check for collisions +function HC:update(dt) + -- cache for tested/colliding shapes + local tested, colliding = {}, {} + local function may_skip_test(shape, other) + return (shape == other) + or (tested[other] and tested[other][shape]) + or self._ghost_shapes[other] + or self:share_group(shape, other) + end + + -- collect active shapes. necessary, because a callback might add shapes to + -- _active_shapes, which will lead to undefined behavior (=random crashes) in + -- next() + local active = {} + for shape in self:activeShapes() do + active[shape] = shape + end + + local only_last_frame = self._colliding_only_last_frame + for shape in pairs(active) do + tested[shape] = {} + for other in self._hash:rangeIter(shape:bbox()) do + if not self._active_shapes[shape] then + -- break out of this loop is shape was removed in a callback + break + end + + if not may_skip_test(shape, other) then + local collide, sx,sy = shape:collidesWith(other) + if collide then + if not colliding[shape] then colliding[shape] = {} end + colliding[shape][other] = {sx, sy} + + -- flag shape colliding this frame and call collision callback + if only_last_frame[shape] then + only_last_frame[shape][other] = nil + end + self.on_collide(dt, shape, other, sx, sy) + end + tested[shape][other] = true + end + end + end + + -- call stop callback on shapes that do not collide anymore + for a,reg in pairs(only_last_frame) do + for b, info in pairs(reg) do + self.on_stop(dt, a, b, info[1], info[2]) + end + end + + self._colliding_only_last_frame = colliding +end + +-- get list of shapes at point (x,y) +function HC:shapesAt(x, y) + local shapes = {} + for s in pairs(self._hash:cellAt(x,y)) do + if s:contains(x,y) then + shapes[#shapes+1] = s + end + end + return shapes +end + +-- remove shape from internal tables and the hash +function HC:remove(shape, ...) + if not shape then return end + self._active_shapes[shape] = nil + self._passive_shapes[shape] = nil + self._ghost_shapes[shape] = nil + for name, group in pairs(shape._groups) do + group[shape] = nil + end + shape:_removeFromHash() + + return self:remove(...) +end + +-- group support +function HC:addToGroup(group, shape, ...) + if not shape then return end + assert(self._active_shapes[shape] or self._passive_shapes[shape], + "Shape is not registered with HC") + if not self.groups[group] then self.groups[group] = {} end + self.groups[group][shape] = true + shape._groups[group] = self.groups[group] + return self:addToGroup(group, ...) +end + +function HC:removeFromGroup(group, shape, ...) + if not shape or not self.groups[group] then return end + assert(self._active_shapes[shape] or self._passive_shapes[shape], + "Shape is not registered with HC") + self.groups[group][shape] = nil + shape._groups[group] = nil + return self:removeFromGroup(group, ...) +end + +function HC:setPassive(shape, ...) + if not shape then return end + if not self._ghost_shapes[shape] then + assert(self._active_shapes[shape], "Shape is not active") + self._active_shapes[shape] = nil + self._passive_shapes[shape] = shape + end + return self:setPassive(...) +end + +function HC:setActive(shape, ...) + if not shape then return end + if not self._ghost_shapes[shape] then + assert(self._passive_shapes[shape], "Shape is not passive") + self._active_shapes[shape] = shape + self._passive_shapes[shape] = nil + end + + return self:setActive(...) +end + +function HC:setGhost(shape, ...) + if not shape then return end + assert(self._active_shapes[shape] or self._passive_shapes[shape], + "Shape is not registered with HC") + + self._active_shapes[shape] = nil + -- dont remove from passive shapes, see below + self._ghost_shapes[shape] = shape + return self:setGhost(...) +end + +function HC:setSolid(shape, ...) + if not shape then return end + assert(self._ghost_shapes[shape], "Shape not a ghost") + + -- re-register shape. passive shapes were not unregistered above, so if a shape + -- is not passive, it must be registered as active again. + if not self._passive_shapes[shape] then + self._active_shapes[shape] = shape + end + self._ghost_shapes[shape] = nil + return self:setSolid(...) +end + +-- the module +HC = common_local.class("HardonCollider", HC) +local function new(...) + return common_local.instance(HC, ...) +end + +return setmetatable({HardonCollider = HC, new = new}, + {__call = function(_,...) return new(...) end}) diff --git a/src/hardoncollider/polygon.lua b/src/hardoncollider/polygon.lua new file mode 100755 index 0000000..ad1a92e --- /dev/null +++ b/src/hardoncollider/polygon.lua @@ -0,0 +1,474 @@ +--[[ +Copyright (c) 2011 Matthias Richter + +Permission is hereby granted, free of charge, to any person obtaining a copy +of this software and associated documentation files (the "Software"), to deal +in the Software without restriction, including without limitation the rights +to use, copy, modify, merge, publish, distribute, sublicense, and/or sell +copies of the Software, and to permit persons to whom the Software is +furnished to do so, subject to the following conditions: + +The above copyright notice and this permission notice shall be included in +all copies or substantial portions of the Software. + +Except as contained in this notice, the name(s) of the above copyright holders +shall not be used in advertising or otherwise to promote the sale, use or +other dealings in this Software without prior written authorization. + +THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR +IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, +FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE +AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER +LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, +OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN +THE SOFTWARE. +]]-- + +local _PACKAGE, common_local = (...):match("^(.+)%.[^%.]+"), common +if not (type(common) == 'table' and common.class and common.instance) then + assert(common_class ~= false, 'No class commons specification available.') + require(_PACKAGE .. '.class') + common_local, common = common, common_local +end +local vector = require(_PACKAGE .. '.vector-light') + +---------------------------- +-- Private helper functions +-- +-- create vertex list of coordinate pairs +local function toVertexList(vertices, x,y, ...) + if not (x and y) then return vertices end -- no more arguments + + vertices[#vertices + 1] = {x = x, y = y} -- set vertex + return toVertexList(vertices, ...) -- recurse +end + +-- returns true if three vertices lie on a line +local function areCollinear(p, q, r, eps) + return math.abs(vector.det(q.x-p.x, q.y-p.y, r.x-p.x,r.y-p.y)) <= (eps or 1e-32) +end +-- remove vertices that lie on a line +local function removeCollinear(vertices) + local ret = {} + local i,k = #vertices - 1, #vertices + for l=1,#vertices do + if not areCollinear(vertices[i], vertices[k], vertices[l]) then + ret[#ret+1] = vertices[k] + end + i,k = k,l + end + return ret +end + +-- get index of rightmost vertex (for testing orientation) +local function getIndexOfleftmost(vertices) + local idx = 1 + for i = 2,#vertices do + if vertices[i].x < vertices[idx].x then + idx = i + end + end + return idx +end + +-- returns true if three points make a counter clockwise turn +local function ccw(p, q, r) + return vector.det(q.x-p.x, q.y-p.y, r.x-p.x, r.y-p.y) >= 0 +end + +-- test wether a and b lie on the same side of the line c->d +local function onSameSide(a,b, c,d) + local px, py = d.x-c.x, d.y-c.y + local l = vector.det(px,py, a.x-c.x, a.y-c.y) + local m = vector.det(px,py, b.x-c.x, b.y-c.y) + return l*m >= 0 +end + +local function pointInTriangle(p, a,b,c) + return onSameSide(p,a, b,c) and onSameSide(p,b, a,c) and onSameSide(p,c, a,b) +end + +-- test whether any point in vertices (but pqr) lies in the triangle pqr +-- note: vertices is *set*, not a list! +local function anyPointInTriangle(vertices, p,q,r) + for v in pairs(vertices) do + if v ~= p and v ~= q and v ~= r and pointInTriangle(v, p,q,r) then + return true + end + end + return false +end + +-- test is the triangle pqr is an "ear" of the polygon +-- note: vertices is *set*, not a list! +local function isEar(p,q,r, vertices) + return ccw(p,q,r) and not anyPointInTriangle(vertices, p,q,r) +end + +local function segmentsInterset(a,b, p,q) + return not (onSameSide(a,b, p,q) or onSameSide(p,q, a,b)) +end + +-- returns starting/ending indices of shared edge, i.e. if p and q share the +-- edge with indices p1,p2 of p and q1,q2 of q, the return value is p1,q2 +local function getSharedEdge(p,q) + local pindex = setmetatable({}, {__index = function(t,k) + local s = {} + t[k] = s + return s + end}) + + -- record indices of vertices in p by their coordinates + for i = 1,#p do + pindex[p[i].x][p[i].y] = i + end + + -- iterate over all edges in q. if both endpoints of that + -- edge are in p as well, return the indices of the starting + -- vertex + local i,k = #q,1 + for k = 1,#q do + local v,w = q[i], q[k] + if pindex[v.x][v.y] and pindex[w.x][w.y] then + return pindex[w.x][w.y], k + end + i = k + end +end + +----------------- +-- Polygon class +-- +local Polygon = {} +function Polygon:init(...) + local vertices = removeCollinear( toVertexList({}, ...) ) + assert(#vertices >= 3, "Need at least 3 non collinear points to build polygon (got "..#vertices..")") + + -- assert polygon is oriented counter clockwise + local r = getIndexOfleftmost(vertices) + local q = r > 1 and r - 1 or #vertices + local s = r < #vertices and r + 1 or 1 + if not ccw(vertices[q], vertices[r], vertices[s]) then -- reverse order if polygon is not ccw + local tmp = {} + for i=#vertices,1,-1 do + tmp[#tmp + 1] = vertices[i] + end + vertices = tmp + end + + -- assert polygon is not self-intersecting + -- outer: only need to check segments #vert;1, 1;2, ..., #vert-3;#vert-2 + -- inner: only need to check unconnected segments + local q,p = vertices[#vertices] + for i = 1,#vertices-2 do + p, q = q, vertices[i] + for k = i+1,#vertices-1 do + local a,b = vertices[k], vertices[k+1] + assert(not segmentsInterset(p,q, a,b), 'Polygon may not intersect itself') + end + end + + self.vertices = vertices + -- make vertices immutable + setmetatable(self.vertices, {__newindex = function() error("Thou shall not change a polygon's vertices!") end}) + + -- compute polygon area and centroid + local p,q = vertices[#vertices], vertices[1] + local det = vector.det(p.x,p.y, q.x,q.y) -- also used below + self.area = det + for i = 2,#vertices do + p,q = q,vertices[i] + self.area = self.area + vector.det(p.x,p.y, q.x,q.y) + end + self.area = self.area / 2 + + p,q = vertices[#vertices], vertices[1] + self.centroid = {x = (p.x+q.x)*det, y = (p.y+q.y)*det} + for i = 2,#vertices do + p,q = q,vertices[i] + det = vector.det(p.x,p.y, q.x,q.y) + self.centroid.x = self.centroid.x + (p.x+q.x) * det + self.centroid.y = self.centroid.y + (p.y+q.y) * det + end + self.centroid.x = self.centroid.x / (6 * self.area) + self.centroid.y = self.centroid.y / (6 * self.area) + + -- get outcircle + self._radius = 0 + for i = 1,#vertices do + self._radius = math.max(self._radius, + vector.dist(vertices[i].x,vertices[i].y, self.centroid.x,self.centroid.y)) + end +end +local newPolygon + + +-- return vertices as x1,y1,x2,y2, ..., xn,yn +function Polygon:unpack() + local v = {} + for i = 1,#self.vertices do + v[2*i-1] = self.vertices[i].x + v[2*i] = self.vertices[i].y + end + return unpack(v) +end + +-- deep copy of the polygon +function Polygon:clone() + return Polygon( self:unpack() ) +end + +-- get bounding box +function Polygon:bbox() + local ulx,uly = self.vertices[1].x, self.vertices[1].y + local lrx,lry = ulx,uly + for i=2,#self.vertices do + local p = self.vertices[i] + if ulx > p.x then ulx = p.x end + if uly > p.y then uly = p.y end + + if lrx < p.x then lrx = p.x end + if lry < p.y then lry = p.y end + end + + return ulx,uly, lrx,lry +end + +-- a polygon is convex if all edges are oriented ccw +function Polygon:isConvex() + local function isConvex() + local v = self.vertices + if #v == 3 then return true end + + if not ccw(v[#v], v[1], v[2]) then + return false + end + for i = 2,#v-1 do + if not ccw(v[i-1], v[i], v[i+1]) then + return false + end + end + if not ccw(v[#v-1], v[#v], v[1]) then + return false + end + return true + end + + -- replace function so that this will only be computed once + local status = isConvex() + self.isConvex = function() return status end + return status +end + +function Polygon:move(dx, dy) + if not dy then + dx, dy = dx:unpack() + end + for i,v in ipairs(self.vertices) do + v.x = v.x + dx + v.y = v.y + dy + end + self.centroid.x = self.centroid.x + dx + self.centroid.y = self.centroid.y + dy +end + +function Polygon:rotate(angle, cx, cy) + if not (cx and cy) then + cx,cy = self.centroid.x, self.centroid.y + end + for i,v in ipairs(self.vertices) do + -- v = (v - center):rotate(angle) + center + v.x,v.y = vector.add(cx,cy, vector.rotate(angle, v.x-cx, v.y-cy)) + end + local v = self.centroid + v.x,v.y = vector.add(cx,cy, vector.rotate(angle, v.x-cx, v.y-cy)) +end + +function Polygon:scale(s, cx,cy) + if not (cx and cy) then + cx,cy = self.centroid.x, self.centroid.y + end + for i,v in ipairs(self.vertices) do + -- v = (v - center) * s + center + v.x,v.y = vector.add(cx,cy, vector.mul(s, v.x-cx, v.y-cy)) + end + self._radius = self._radius * s +end + +-- triangulation by the method of kong +function Polygon:triangulate() + if #self.vertices == 3 then return {self:clone()} end + + local vertices = self.vertices + + local next_idx, prev_idx = {}, {} + for i = 1,#vertices do + next_idx[i], prev_idx[i] = i+1,i-1 + end + next_idx[#next_idx], prev_idx[1] = 1, #prev_idx + + local concave = {} + for i, v in ipairs(vertices) do + if not ccw(vertices[prev_idx[i]], v, vertices[next_idx[i]]) then + concave[v] = true + end + end + + local triangles = {} + local n_vert, current, skipped, next, prev = #vertices, 1, 0 + while n_vert > 3 do + next, prev = next_idx[current], prev_idx[current] + local p,q,r = vertices[prev], vertices[current], vertices[next] + if isEar(p,q,r, concave) then + triangles[#triangles+1] = newPolygon(p.x,p.y, q.x,q.y, r.x,r.y) + next_idx[prev], prev_idx[next] = next, prev + concave[q] = nil + n_vert, skipped = n_vert - 1, 0 + else + skipped = skipped + 1 + assert(skipped <= n_vert, "Cannot triangulate polygon") + end + current = next + end + + next, prev = next_idx[current], prev_idx[current] + local p,q,r = vertices[prev], vertices[current], vertices[next] + triangles[#triangles+1] = newPolygon(p.x,p.y, q.x,q.y, r.x,r.y) + return triangles +end + +-- return merged polygon if possible or nil otherwise +function Polygon:mergedWith(other) + local p,q = getSharedEdge(self.vertices, other.vertices) + assert(p and q, "Polygons do not share an edge") + + local ret = {} + for i = 1,p-1 do + ret[#ret+1] = self.vertices[i].x + ret[#ret+1] = self.vertices[i].y + end + + for i = 0,#other.vertices-2 do + i = ((i-1 + q) % #other.vertices) + 1 + ret[#ret+1] = other.vertices[i].x + ret[#ret+1] = other.vertices[i].y + end + + for i = p+1,#self.vertices do + ret[#ret+1] = self.vertices[i].x + ret[#ret+1] = self.vertices[i].y + end + + return newPolygon(unpack(ret)) +end + +-- split polygon into convex polygons. +-- note that this won't be the optimal split in most cases, as +-- finding the optimal split is a really hard problem. +-- the method is to first triangulate and then greedily merge +-- the triangles. +function Polygon:splitConvex() + -- edge case: polygon is a triangle or already convex + if #self.vertices <= 3 or self:isConvex() then return {self:clone()} end + + local convex = self:triangulate() + local i = 1 + repeat + local p = convex[i] + local k = i + 1 + while k <= #convex do + local success, merged = pcall(function() return p:mergedWith(convex[k]) end) + if success and merged:isConvex() then + convex[i] = merged + p = convex[i] + table.remove(convex, k) + else + k = k + 1 + end + end + i = i + 1 + until i >= #convex + + return convex +end + +function Polygon:contains(x,y) + -- test if an edge cuts the ray + local function cut_ray(p,q) + return ((p.y > y and q.y < y) or (p.y < y and q.y > y)) -- possible cut + and (x - p.x < (y - p.y) * (q.x - p.x) / (q.y - p.y)) -- x < cut.x + end + + -- test if the ray crosses boundary from interior to exterior. + -- this is needed due to edge cases, when the ray passes through + -- polygon corners + local function cross_boundary(p,q) + return (p.y == y and p.x > x and q.y < y) + or (q.y == y and q.x > x and p.y < y) + end + + local v = self.vertices + local in_polygon = false + local p,q = v[#v],v[#v] + for i = 1, #v do + p,q = q,v[i] + if cut_ray(p,q) or cross_boundary(p,q) then + in_polygon = not in_polygon + end + end + return in_polygon +end + +function Polygon:intersectionsWithRay(x,y, dx,dy) + local nx,ny = vector.perpendicular(dx,dy) + local wx,xy,det + + local ts = {} -- ray parameters of each intersection + local q1,q2 = nil, self.vertices[#self.vertices] + for i = 1, #self.vertices do + q1,q2 = q2,self.vertices[i] + wx,wy = q2.x - q1.x, q2.y - q1.y + det = vector.det(dx,dy, wx,wy) + + if det ~= 0 then + -- there is an intersection point. check if it lies on both + -- the ray and the segment. + local rx,ry = q2.x - x, q2.y - y + local l = vector.det(rx,ry, wx,wy) / det + local m = vector.det(dx,dy, rx,ry) / det + if m >= 0 and m <= 1 then + -- we cannot jump out early here (i.e. when l > tmin) because + -- the polygon might be concave + ts[#ts+1] = l + end + else + -- lines parralel or incident. get distance of line to + -- anchor point. if they are incident, check if an endpoint + -- lies on the ray + local dist = vector.dot(q1.x-x,q1.y-y, nx,ny) + if dist == 0 then + local l = vector.dot(dx,dy, q1.x-x,q1.y-y) + local m = vector.dot(dx,dy, q2.x-x,q2.y-y) + if l >= m then + ts[#ts+1] = l + else + ts[#ts+1] = m + end + end + end + end + + return ts +end + +function Polygon:intersectsRay(x,y, dx,dy) + local tmin = math.huge + for _, t in ipairs(self:intersectionsWithRay(x,y,dx,dy)) do + tmin = math.min(tmin, t) + end + return tmin ~= math.huge, tmin +end + +Polygon = common_local.class('Polygon', Polygon) +newPolygon = function(...) return common_local.instance(Polygon, ...) end +return Polygon diff --git a/src/hardoncollider/shapes.lua b/src/hardoncollider/shapes.lua new file mode 100755 index 0000000..29fb01d --- /dev/null +++ b/src/hardoncollider/shapes.lua @@ -0,0 +1,466 @@ +--[[ +Copyright (c) 2011 Matthias Richter + +Permission is hereby granted, free of charge, to any person obtaining a copy +of this software and associated documentation files (the "Software"), to deal +in the Software without restriction, including without limitation the rights +to use, copy, modify, merge, publish, distribute, sublicense, and/or sell +copies of the Software, and to permit persons to whom the Software is +furnished to do so, subject to the following conditions: + +The above copyright notice and this permission notice shall be included in +all copies or substantial portions of the Software. + +Except as contained in this notice, the name(s) of the above copyright holders +shall not be used in advertising or otherwise to promote the sale, use or +other dealings in this Software without prior written authorization. + +THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR +IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, +FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE +AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER +LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, +OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN +THE SOFTWARE. +]]-- + +local math_min, math_sqrt, math_huge = math.min, math.sqrt, math.huge + +local _PACKAGE, common_local = (...):match("^(.+)%.[^%.]+"), common +if not (type(common) == 'table' and common.class and common.instance) then + assert(common_class ~= false, 'No class commons specification available.') + require(_PACKAGE .. '.class') +end +local vector = require(_PACKAGE .. '.vector-light') +local Polygon = require(_PACKAGE .. '.polygon') +local GJK = require(_PACKAGE .. '.gjk') -- actual collision detection + +-- reset global table `common' (required by class commons) +if common_local ~= common then + common_local, common = common, common_local +end + +-- +-- base class +-- +local Shape = {} +function Shape:init(t) + self._type = t + self._rotation = 0 +end + +function Shape:moveTo(x,y) + local cx,cy = self:center() + self:move(x - cx, y - cy) +end + +function Shape:rotation() + return self._rotation +end + +function Shape:rotate(angle) + self._rotation = self._rotation + angle +end + +function Shape:setRotation(angle, x,y) + return self:rotate(angle - self._rotation, x,y) +end + +-- +-- class definitions +-- +local ConvexPolygonShape = {} +function ConvexPolygonShape:init(polygon) + Shape.init(self, 'polygon') + assert(polygon:isConvex(), "Polygon is not convex.") + self._polygon = polygon +end + +local ConcavePolygonShape = {} +function ConcavePolygonShape:init(poly) + Shape.init(self, 'compound') + self._polygon = poly + self._shapes = poly:splitConvex() + for i,s in ipairs(self._shapes) do + self._shapes[i] = common_local.instance(ConvexPolygonShape, s) + end +end + +local CircleShape = {} +function CircleShape:init(cx,cy, radius) + Shape.init(self, 'circle') + self._center = {x = cx, y = cy} + self._radius = radius +end + +local PointShape = {} +function PointShape:init(x,y) + Shape.init(self, 'point') + self._pos = {x = x, y = y} +end + +-- +-- collision functions +-- +function ConvexPolygonShape:support(dx,dy) + local v = self._polygon.vertices + local max, vmax = -math_huge + for i = 1,#v do + local d = vector.dot(v[i].x,v[i].y, dx,dy) + if d > max then + max, vmax = d, v[i] + end + end + return vmax.x, vmax.y +end + +function CircleShape:support(dx,dy) + return vector.add(self._center.x, self._center.y, + vector.mul(self._radius, vector.normalize(dx,dy))) +end + +-- collision dispatching: +-- let circle shape or compund shape handle the collision +function ConvexPolygonShape:collidesWith(other) + if self == other then return false end + if other._type ~= 'polygon' then + local collide, sx,sy = other:collidesWith(self) + return collide, sx and -sx, sy and -sy + end + + -- else: type is POLYGON + return GJK(self, other) +end + +function ConcavePolygonShape:collidesWith(other) + if self == other then return false end + if other._type == 'point' then + return other:collidesWith(self) + end + + -- TODO: better way of doing this. report all the separations? + local collide,dx,dy = false,0,0 + for _,s in ipairs(self._shapes) do + local status, sx,sy = s:collidesWith(other) + collide = collide or status + if status then + if math.abs(dx) < math.abs(sx) then + dx = sx + end + if math.abs(dy) < math.abs(sy) then + dy = sy + end + end + end + return collide, dx, dy +end + +function CircleShape:collidesWith(other) + if self == other then return false end + if other._type == 'circle' then + local px,py = self._center.x-other._center.x, self._center.y-other._center.y + local d = vector.len2(px,py) + local radii = self._radius + other._radius + if d < radii*radii then + -- if circles overlap, push it out upwards + if d == 0 then return true, 0,radii end + -- otherwise push out in best direction + return true, vector.mul(radii - math_sqrt(d), vector.normalize(px,py)) + end + return false + elseif other._type == 'polygon' then + return GJK(self, other) + end + + -- else: let the other shape decide + local collide, sx,sy = other:collidesWith(self) + return collide, sx and -sx, sy and -sy +end + +function PointShape:collidesWith(other) + if self == other then return false end + if other._type == 'point' then + return (self._pos == other._pos), 0,0 + end + return other:contains(self._pos.x, self._pos.y), 0,0 +end + +-- +-- point location/ray intersection +-- +function ConvexPolygonShape:contains(x,y) + return self._polygon:contains(x,y) +end + +function ConcavePolygonShape:contains(x,y) + return self._polygon:contains(x,y) +end + +function CircleShape:contains(x,y) + return vector.len2(x-self._center.x, y-self._center.y) < self._radius * self._radius +end + +function PointShape:contains(x,y) + return x == self._pos.x and y == self._pos.y +end + + +function ConcavePolygonShape:intersectsRay(x,y, dx,dy) + return self._polygon:intersectsRay(x,y, dx,dy) +end + +function ConvexPolygonShape:intersectsRay(x,y, dx,dy) + return self._polygon:intersectsRay(x,y, dx,dy) +end + +function ConcavePolygonShape:intersectionsWithRay(x,y, dx,dy) + return self._polygon:intersectionsWithRay(x,y, dx,dy) +end + +function ConvexPolygonShape:intersectionsWithRay(x,y, dx,dy) + return self._polygon:intersectionsWithRay(x,y, dx,dy) +end + +-- circle intersection if distance of ray/center is smaller +-- than radius. +-- with r(s) = p + d*s = (x,y) + (dx,dy) * s defining the ray and +-- (x - cx)^2 + (y - cy)^2 = r^2, this problem is eqivalent to +-- solving [with c = (cx,cy)]: +-- +-- d*d s^2 + 2 d*(p-c) s + (p-c)*(p-c)-r^2 = 0 +function CircleShape:intersectionsWithRay(x,y, dx,dy) + local pcx,pcy = x-self._center.x, y-self._center.y + + local a = vector.len2(dx,dy) + local b = 2 * vector.dot(dx,dy, pcx,pcy) + local c = vector.len2(pcx,pcy) - self._radius * self._radius + local discr = b*b - 4*a*c + + if discr < 0 then return {} end + + discr = math_sqrt(discr) + local ts, t1, t2 = {}, discr-b, -discr-b + if t1 >= 0 then ts[#ts+1] = t1/(2*a) end + if t2 >= 0 then ts[#ts+1] = t2/(2*a) end + return ts +end + +function CircleShape:intersectsRay(x,y, dx,dy) + local tmin = math_huge + for _, t in ipairs(self:intersectionsWithRay(x,y,dx,dy)) do + tmin = math_min(t, tmin) + end + return tmin ~= math_huge, tmin +end + +-- point shape intersects ray if it lies on the ray +function PointShape:intersectsRay(x,y, dx,dy) + local px,py = self._pos.x-x, self._pos.y-y + local t = vector.dot(px,py, dx,dy) / vector.len2(dx,dy) + return t >= 0, t +end + +function PointShape:intersectionsWithRay(x,y, dx,dy) + local intersects, t = self:intersectsRay(x,y, dx,dy) + return intersects and {t} or {} +end + +-- +-- auxiliary +-- +function ConvexPolygonShape:center() + return self._polygon.centroid.x, self._polygon.centroid.y +end + +function ConcavePolygonShape:center() + return self._polygon.centroid.x, self._polygon.centroid.y +end + +function CircleShape:center() + return self._center.x, self._center.y +end + +function PointShape:center() + return self._pos.x, self._pos.y +end + +function ConvexPolygonShape:outcircle() + local cx,cy = self:center() + return cx,cy, self._polygon._radius +end + +function ConcavePolygonShape:outcircle() + local cx,cy = self:center() + return cx,cy, self._polygon._radius +end + +function CircleShape:outcircle() + local cx,cy = self:center() + return cx,cy, self._radius +end + +function PointShape:outcircle() + return self._pos.x, self._pos.y, 0 +end + +function ConvexPolygonShape:bbox() + return self._polygon:bbox() +end + +function ConcavePolygonShape:bbox() + return self._polygon:bbox() +end + +function CircleShape:bbox() + local cx,cy = self:center() + local r = self._radius + return cx-r,cy-r, cx+r,cy+r +end + +function PointShape:bbox() + local x,y = self:center() + return x,y,x,y +end + + +function ConvexPolygonShape:move(x,y) + self._polygon:move(x,y) +end + +function ConcavePolygonShape:move(x,y) + self._polygon:move(x,y) + for _,p in ipairs(self._shapes) do + p:move(x,y) + end +end + +function CircleShape:move(x,y) + self._center.x = self._center.x + x + self._center.y = self._center.y + y +end + +function PointShape:move(x,y) + self._pos.x = self._pos.x + x + self._pos.y = self._pos.y + y +end + + +function ConcavePolygonShape:rotate(angle,cx,cy) + Shape.rotate(self, angle) + if not (cx and cy) then + cx,cy = self:center() + end + self._polygon:rotate(angle,cx,cy) + for _,p in ipairs(self._shapes) do + p:rotate(angle, cx,cy) + end +end + +function ConvexPolygonShape:rotate(angle, cx,cy) + Shape.rotate(self, angle) + self._polygon:rotate(angle, cx, cy) +end + +function CircleShape:rotate(angle, cx,cy) + Shape.rotate(self, angle) + if not (cx and cy) then return end + self._center.x,self._center.y = vector.add(cx,cy, vector.rotate(angle, self._center.x-cx, self._center.y-cy)) +end + +function PointShape:rotate(angle, cx,cy) + Shape.rotate(self, angle) + if not (cx and cy) then return end + self._pos.x,self._pos.y = vector.add(cx,cy, vector.rotate(angle, self._pos.x-cx, self._pos.y-cy)) +end + + +function ConcavePolygonShape:scale(s) + assert(type(s) == "number" and s > 0, "Invalid argument. Scale must be greater than 0") + local cx,cy = self:center() + self._polygon:scale(s, cx,cy) + for _, p in ipairs(self._shapes) do + local dx,dy = vector.sub(cx,cy, p:center()) + p:scale(s) + p:moveTo(cx-dx*s, cy-dy*s) + end +end + +function ConvexPolygonShape:scale(s) + assert(type(s) == "number" and s > 0, "Invalid argument. Scale must be greater than 0") + self._polygon:scale(s, self:center()) +end + +function CircleShape:scale(s) + assert(type(s) == "number" and s > 0, "Invalid argument. Scale must be greater than 0") + self._radius = self._radius * s +end + +function PointShape:scale() + -- nothing +end + + +function ConvexPolygonShape:draw(mode) + mode = mode or 'line' + love.graphics.polygon(mode, self._polygon:unpack()) +end + +function ConcavePolygonShape:draw(mode, wireframe) + local mode = mode or 'line' + if mode == 'line' then + love.graphics.polygon('line', self._polygon:unpack()) + if not wireframe then return end + end + for _,p in ipairs(self._shapes) do + love.graphics.polygon(mode, p._polygon:unpack()) + end +end + +function CircleShape:draw(mode, segments) + love.graphics.circle(mode or 'line', self:outcircle()) +end + +function PointShape:draw() + love.graphics.point(self:center()) +end + + +Shape = common_local.class('Shape', Shape) +ConvexPolygonShape = common_local.class('ConvexPolygonShape', ConvexPolygonShape, Shape) +ConcavePolygonShape = common_local.class('ConcavePolygonShape', ConcavePolygonShape, Shape) +CircleShape = common_local.class('CircleShape', CircleShape, Shape) +PointShape = common_local.class('PointShape', PointShape, Shape) + +local function newPolygonShape(polygon, ...) + -- create from coordinates if needed + if type(polygon) == "number" then + polygon = common_local.instance(Polygon, polygon, ...) + else + polygon = polygon:clone() + end + + if polygon:isConvex() then + return common_local.instance(ConvexPolygonShape, polygon) + end + + return common_local.instance(ConcavePolygonShape, polygon) +end + +local function newCircleShape(...) + return common_local.instance(CircleShape, ...) +end + +local function newPointShape(...) + return common_local.instance(PointShape, ...) +end + +return { + ConcavePolygonShape = ConcavePolygonShape, + ConvexPolygonShape = ConvexPolygonShape, + CircleShape = CircleShape, + PointShape = PointShape, + newPolygonShape = newPolygonShape, + newCircleShape = newCircleShape, + newPointShape = newPointShape, +} + diff --git a/src/hardoncollider/spatialhash.lua b/src/hardoncollider/spatialhash.lua new file mode 100755 index 0000000..eba3794 --- /dev/null +++ b/src/hardoncollider/spatialhash.lua @@ -0,0 +1,159 @@ +--[[ +Copyright (c) 2011 Matthias Richter + +Permission is hereby granted, free of charge, to any person obtaining a copy +of this software and associated documentation files (the "Software"), to deal +in the Software without restriction, including without limitation the rights +to use, copy, modify, merge, publish, distribute, sublicense, and/or sell +copies of the Software, and to permit persons to whom the Software is +furnished to do so, subject to the following conditions: + +The above copyright notice and this permission notice shall be included in +all copies or substantial portions of the Software. + +Except as contained in this notice, the name(s) of the above copyright holders +shall not be used in advertising or otherwise to promote the sale, use or +other dealings in this Software without prior written authorization. + +THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR +IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, +FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE +AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER +LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, +OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN +THE SOFTWARE. +]]-- + +local floor = math.floor +local min, max = math.min, math.max + +local _PACKAGE, common_local = (...):match("^(.+)%.[^%.]+"), common +if not (type(common) == 'table' and common.class and common.instance) then + assert(common_class ~= false, 'No class commons specification available.') + require(_PACKAGE .. '.class') + common_local, common = common, common_local +end + +local Spatialhash = {} +function Spatialhash:init(cell_size) + self.cell_size = cell_size or 100 + self.cells = {} +end + +function Spatialhash:cellCoords(x,y) + return floor(x / self.cell_size), floor(y / self.cell_size) +end + +function Spatialhash:cell(i,k) + local row = rawget(self.cells, i) + if not row then + row = {} + rawset(self.cells, i, row) + end + + local cell = rawget(row, k) + if not cell then + cell = setmetatable({}, {__mode = "kv"}) + rawset(row, k, cell) + end + + return cell +end + +function Spatialhash:cellAt(x,y) + return self:cell(self:cellCoords(x,y)) +end + +function Spatialhash:inRange(x1,y1, x2,y2) + local set = {} + x1, y1 = self:cellCoords(x1, y1) + x2, y2 = self:cellCoords(x2, y2) + for i = x1,x2 do + for k = y1,y2 do + for obj in pairs(self:cell(i,k)) do + rawset(set, obj, obj) + end + end + end + return set +end + +function Spatialhash:rangeIter(...) + return pairs(self:inRange(...)) +end + +function Spatialhash:insert(obj, x1, y1, x2, y2) + x1, y1 = self:cellCoords(x1, y1) + x2, y2 = self:cellCoords(x2, y2) + for i = x1,x2 do + for k = y1,y2 do + rawset(self:cell(i,k), obj, obj) + end + end +end + +function Spatialhash:remove(obj, x1, y1, x2,y2) + -- no bbox given. => must check all cells + if not (x1 and y1 and x2 and y2) then + for _,row in pairs(self.cells) do + for _,cell in pairs(row) do + rawset(cell, obj, nil) + end + end + return + end + + -- else: remove only from bbox + x1,y1 = self:cellCoords(x1,y1) + x2,y2 = self:cellCoords(x2,y2) + for i = x1,x2 do + for k = y1,y2 do + rawset(self:cell(i,k), obj, nil) + end + end +end + +-- update an objects position +function Spatialhash:update(obj, old_x1,old_y1, old_x2,old_y2, new_x1,new_y1, new_x2,new_y2) + old_x1, old_y1 = self:cellCoords(old_x1, old_y1) + old_x2, old_y2 = self:cellCoords(old_x2, old_y2) + + new_x1, new_y1 = self:cellCoords(new_x1, new_y1) + new_x2, new_y2 = self:cellCoords(new_x2, new_y2) + + if old_x1 == new_x1 and old_y1 == new_y1 and + old_x2 == new_x2 and old_y2 == new_y2 then + return + end + + for i = old_x1,old_x2 do + for k = old_y1,old_y2 do + rawset(self:cell(i,k), obj, nil) + end + end + for i = new_x1,new_x2 do + for k = new_y1,new_y2 do + rawset(self:cell(i,k), obj, obj) + end + end +end + +function Spatialhash:draw(how, show_empty, print_key) + if show_empty == nil then show_empty = true end + for k1,v in pairs(self.cells) do + for k2,cell in pairs(v) do + local is_empty = (next(cell) == nil) + if show_empty or not is_empty then + local x = k1 * self.cell_size + local y = k2 * self.cell_size + love.graphics.rectangle(how or 'line', x,y, self.cell_size, self.cell_size) + + if print_key then + love.graphics.print(("%d:%d"):format(k1,k2), x+3,y+3) + end + end + end + end +end + +return common_local.class('Spatialhash', Spatialhash) diff --git a/src/hardoncollider/vector-light.lua b/src/hardoncollider/vector-light.lua new file mode 100755 index 0000000..29e56bf --- /dev/null +++ b/src/hardoncollider/vector-light.lua @@ -0,0 +1,138 @@ +--[[ +Copyright (c) 2012 Matthias Richter + +Permission is hereby granted, free of charge, to any person obtaining a copy +of this software and associated documentation files (the "Software"), to deal +in the Software without restriction, including without limitation the rights +to use, copy, modify, merge, publish, distribute, sublicense, and/or sell +copies of the Software, and to permit persons to whom the Software is +furnished to do so, subject to the following conditions: + +The above copyright notice and this permission notice shall be included in +all copies or substantial portions of the Software. + +Except as contained in this notice, the name(s) of the above copyright holders +shall not be used in advertising or otherwise to promote the sale, use or +other dealings in this Software without prior written authorization. + +THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR +IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, +FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE +AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER +LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, +OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN +THE SOFTWARE. +]]-- + +local sqrt, cos, sin = math.sqrt, math.cos, math.sin + +local function str(x,y) + return "("..tonumber(x)..","..tonumber(y)..")" +end + +local function mul(s, x,y) + return s*x, s*y +end + +local function div(s, x,y) + return x/s, y/s +end + +local function add(x1,y1, x2,y2) + return x1+x2, y1+y2 +end + +local function sub(x1,y1, x2,y2) + return x1-x2, y1-y2 +end + +local function permul(x1,y1, x2,y2) + return x1*x2, y1*y2 +end + +local function dot(x1,y1, x2,y2) + return x1*x2 + y1*y2 +end + +local function det(x1,y1, x2,y2) + return x1*y2 - y1*x2 +end + +local function eq(x1,y1, x2,y2) + return x1 == x2 and y1 == y2 +end + +local function lt(x1,y1, x2,y2) + return x1 < x2 or (x1 == x2 and y1 < y2) +end + +local function le(x1,y1, x2,y2) + return x1 <= x2 and y1 <= y2 +end + +local function len2(x,y) + return x*x + y*y +end + +local function len(x,y) + return sqrt(x*x + y*y) +end + +local function dist(x1,y1, x2,y2) + return len(x1-x2, y1-y2) +end + +local function normalize(x,y) + local l = len(x,y) + return x/l, y/l +end + +local function rotate(phi, x,y) + local c, s = cos(phi), sin(phi) + return c*x - s*y, s*x + c*y +end + +local function perpendicular(x,y) + return -y, x +end + +local function project(x,y, u,v) + local s = (x*u + y*v) / (u*u + v*v) + return s*u, s*v +end + +local function mirror(x,y, u,v) + local s = 2 * (x*u + y*v) / (u*u + v*v) + return s*u - x, s*v - y +end + + +-- the module +return { + str = str, + + -- arithmetic + mul = mul, + div = div, + add = add, + sub = sub, + permul = permul, + dot = dot, + det = det, + cross = det, + + -- relation + eq = eq, + lt = lt, + le = le, + + -- misc operations + len2 = len2, + len = len, + dist = dist, + normalize = normalize, + rotate = rotate, + perpendicular = perpendicular, + project = project, + mirror = mirror, +} diff --git a/src/main.lua b/src/main.lua new file mode 100644 index 0000000..f905160 --- /dev/null +++ b/src/main.lua @@ -0,0 +1,104 @@ +class = require '30log' + +local HC = require 'hardoncollider' +-- has to come before the sti initialization so I can add the collision tiles +collider = HC(100) + +local sti = require "sti" + +local character = require "character" +local ui = require "ui" + +local characters = {} + +function love.load() + windowWidth = love.graphics.getWidth() + windowHeight = love.graphics.getHeight() + + map = sti.new("assets/map") + collision = map:getCollisionMap("collision") + + initCharacters() +end + +function love.update(dt) + for _, char in ipairs(characters) do + if char.relevantKeys then + for _, relevantKey in ipairs(char.relevantKeys) do + if love.keyboard.isDown(relevantKey) then + char.controller:sendKey(relevantKey) + end + end + end + end + + collider:update(dt) + map:update(dt) +end + +function love.draw() + -- Translation would normally be based on a player's x/y + local translateX = 0 + local translateY = 0 + + -- Draw Range culls unnecessary tiles + map:setDrawRange(translateX, translateY, windowWidth, windowHeight) + + map:draw() + + --debugDrawing() +end + +function debugDrawing() + -- draw collision shapes for debugging + for shape in pairs(collider:shapesInRange(0, 0, windowWidth, windowHeight)) do + shape:draw() + end + + -- Draw Collision Map (useful for debugging) + map:drawCollisionMap(collision) +end + +function initCharacters() + local collisionBoxOffset = 5 + + map:addCustomLayer("character layer", 4) + + local characterLayer = map.layers["character layer"] + characterLayer.sprites = {} + + for _, char in pairs(map.layers["characters"].objects) do + local filename = "characters/" .. char.name .. ".lua" + local charinfo = love.filesystem.load(filename)() + charinfo.x = char.x - character.width / 4 + charinfo.y = char.y + + charinfo.controller.charinfo = charinfo + + charinfo.image = love.graphics.newImage(charinfo.spritesheet) + charinfo.controller:init() + + table.insert(characterLayer.sprites, {info = charinfo}) + table.insert(characters, charinfo) + end + + -- Draw callback for Custom Layer + function characterLayer:draw() + table.sort(self.sprites, character.sortNorthSouth) + + for _, sprite in pairs(self.sprites) do + local x = math.floor(sprite.info.x) + local y = math.floor(sprite.info.y) + + local offsetX = sprite.info.pose.offsetX * character.width + local offsetY = sprite.info.pose.offsetY * character.height + + local quad = love.graphics.newQuad(offsetX, offsetY, character.width, character.height, sprite.info.image:getWidth(), sprite.info.image:getHeight()) + love.graphics.draw(sprite.info.image, quad, x, y) + end + end + + map.layers["characters"].visible = false +end + + diff --git a/src/sti.lua b/src/sti.lua new file mode 100644 index 0000000..f8fdcb9 --- /dev/null +++ b/src/sti.lua @@ -0,0 +1,645 @@ +--[[ +------------------------------------------------------------------------------ +Simple Tiled Implementation is licensed under the MIT Open Source License. +(http://www.opensource.org/licenses/mit-license.html) +------------------------------------------------------------------------------ + +Copyright (c) 2014 Landon Manning - LManning17@gmail.com - LandonManning.com + +Permission is hereby granted, free of charge, to any person obtaining a copy +of this software and associated documentation files (the "Software"), to deal +in the Software without restriction, including without limitation the rights +to use, copy, modify, merge, publish, distribute, sublicense, and/or sell +copies of the Software, and to permit persons to whom the Software is +furnished to do so, subject to the following conditions: + +The above copyright notice and this permission notice shall be included in +all copies or substantial portions of the Software. + +THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR +IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, +FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE +AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER +LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, +OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN +THE SOFTWARE. +]]-- + +-- Simple Tiled Implementation v0.6.16 + +local bit = require "bit" +local STI = {} +local Map = {} + +function STI.new(map) + map = map .. ".lua" + + -- Get path to map + local path = map:reverse():find("[/\\]") or "" + if path ~= "" then + path = map:sub(1, 1 + (#map - path)) + end + + -- Load map + map = assert(love.filesystem.load(map), "File not found: " .. map) + setfenv(map, {}) + map = setmetatable(map(), {__index = Map}) + + map.tiles = {} + map.drawRange = { + sx = 1, + sy = 1, + ex = map.width, + ey = map.height, + } + + -- Set tiles, images + local gid = 1 + for i, tileset in ipairs(map.tilesets) do + local image = STI.formatPath(path..tileset.image) + tileset.image = love.graphics.newImage(image) + tileset.image:setFilter("nearest", "nearest") + gid = map:setTiles(i, tileset, gid) + end + + -- Set layers + for i, layer in ipairs(map.layers) do + map:setLayer(layer, path) + end + + return map +end + +function STI.formatPath(path) + local str = string.split(path, "/") + + for i, segment in pairs(str) do + if segment == ".." then + str[i] = nil + str[i-1] = nil + end + end + + path = "" + for _, segment in pairs(str) do + path = path .. segment .. "/" + end + + return string.sub(path, 1, path:len()-1) +end + +function Map:setTiles(index, tileset, gid) + local function getTiles(i, t, m, s) + i = i - m + local n = 0 + + while i >= t do + i = i - t + if n ~= 0 then i = i - s end + if i >= 0 then n = n + 1 end + end + + return n + end + + local quad = love.graphics.newQuad + local mw = self.tilewidth + local iw = tileset.imagewidth + local ih = tileset.imageheight + local tw = tileset.tilewidth + local th = tileset.tileheight + local s = tileset.spacing + local m = tileset.margin + local w = getTiles(iw, tw, m, s) + local h = getTiles(ih, th, m, s) + + for y = 1, h do + for x = 1, w do + local qx = (x - 1) * tw + m + (x - 1) * s + local qy = (y - 1) * th + m + (y - 1) * s + local properties + + for _, tile in pairs(tileset.tiles) do + if tile.id == gid - tileset.firstgid + 1 then + properties = tile.properties + end + end + + local tile = { + gid = gid, + tileset = index, + quad = quad(qx, qy, tw, th, iw, ih), + properties = properties, + sx = 1, + sy = 1, + r = 0, + offset = { + x = -mw, + y = -th, + }, + } + + if self.orientation == "isometric" then + tile.offset.x = -mw / 2 + end + + --[[ THIS IS A TEMPORARY FIX FOR 0.9.1 ]]-- + if tileset.tileoffset then + tile.offset.x = tile.offset.x + tileset.tileoffset.x + tile.offset.y = tile.offset.y + tileset.tileoffset.y + end + + self.tiles[gid] = tile + gid = gid + 1 + end + end + + return gid +end + +function Map:setLayer(layer, path) + layer.x = layer.x or 0 + layer.y = layer.y or 0 + layer.update = function(dt) return end + + if layer.type == "tilelayer" then + self:setTileData(layer) + self:setSpriteBatches(layer) + layer.draw = function() self:drawTileLayer(layer) end + elseif layer.type == "objectgroup" then + layer.draw = function() self:drawObjectLayer(layer) end + elseif layer.type == "imagelayer" then + layer.draw = function() self:drawImageLayer(layer) end + + local image = STI.formatPath(path..layer.image) + if layer.image ~= "" then + layer.image = love.graphics.newImage(image) + end + end + + self.layers[layer.name] = layer +end + +function Map:setTileData(layer) + local i = 1 + local map = {} + + for y = 1, layer.height do + map[y] = {} + for x = 1, layer.width do + local gid = layer.data[i] + + if gid > 0 then + local tile = self.tiles[gid] + + if tile then + map[y][x] = tile + else + local flipX = bit.status(gid, 31) + local flipY = bit.status(gid, 30) + local flipD = bit.status(gid, 29) + local realgid = bit.band(gid, bit.bnot(bit.bor(2^31, 2^30, 2^29))) + local tile = self.tiles[realgid] + local data = { + gid = tile.gid, + tileset = tile.tileset, + offset = tile.offset, + quad = tile.quad, + properties = tile.properties, + sx = tile.sx, + sy = tile.sy, + r = tile.r, + } + + if flipX then + if flipY then + data.sx = -1 + data.sy = -1 + elseif flipD then + data.r = math.rad(90) + else + data.sx = -1 + end + elseif flipY then + if flipD then + data.r = math.rad(-90) + else + data.sy = -1 + end + elseif flipD then + data.r = math.rad(90) + data.sy = -1 + end + + self.tiles[gid] = data + map[y][x] = self.tiles[gid] + end + end + + i = i + 1 + end + end + + layer.data = map +end + +function Map:setSpriteBatches(layer) + local newBatch = love.graphics.newSpriteBatch + local w = love.graphics.getWidth() + local h = love.graphics.getHeight() + local tw = self.tilewidth + local th = self.tileheight + local bw = math.ceil(w / tw) + local bh = math.ceil(h / th) + + -- Minimum of 400 tiles per batch + if bw < 20 then bw = 20 end + if bh < 20 then bh = 20 end + + local size = bw * bh + local batches = { + width = bw, + height = bh, + data = {}, + } + + for y = 1, layer.height do + local by = math.ceil(y / bh) + + for x = 1, layer.width do + local tile = layer.data[y][x] + local bx = math.ceil(x / bw) + + if tile then + local ts = tile.tileset + local image = self.tilesets[tile.tileset].image + + batches.data[ts] = batches.data[ts] or {} + batches.data[ts][by] = batches.data[ts][by] or {} + batches.data[ts][by][bx] = batches.data[ts][by][bx] or newBatch(image, size) + + local batch = batches.data[ts][by][bx] + local tx, ty + + if self.orientation == "orthogonal" then + tx = x * tw + tile.offset.x + ty = y * th + tile.offset.y + + -- Compensation for scale/rotation shift + if tile.sx < 0 then tx = tx + tw end + if tile.sy < 0 then ty = ty + th end + if tile.r > 0 then tx = tx + tw end + if tile.r < 0 then ty = ty + th end + elseif self.orientation == "isometric" then + tx = (x - y) * (tw / 2) + tile.offset.x + ty = (x + y) * (th / 2) + tile.offset.y + elseif self.orientation == "staggered" then + if y % 2 == 0 then + tx = x * tw + tw / 2 + tile.offset.x + else + tx = x * tw + tile.offset.x + end + + ty = y * th / 2 + tile.offset.y + end + + batch:add(tile.quad, tx, ty, tile.r, tile.sx, tile.sy) + end + end + end + + layer.batches = batches +end + +function Map:setDrawRange(tx, ty, w, h) + tx = -tx + ty = -ty + local tw = self.tilewidth + local th = self.tileheight + local sx, sy, ex, ey + + if self.orientation == "orthogonal" then + sx = math.ceil(tx / tw) + sy = math.ceil(ty / th) + ex = math.ceil(sx + w / tw) + ey = math.ceil(sy + h / th) + elseif self.orientation == "isometric" then + sx = math.ceil(((ty / (th / 2)) + (tx / (tw / 2))) / 2) + sy = math.ceil(((ty / (th / 2)) - (tx / (tw / 2))) / 2 - h / th) + ex = math.ceil(sx + (h / th) + (w / tw)) + ey = math.ceil(sy + (h / th) * 2 + (w / tw)) + elseif self.orientation == "staggered" then + sx = math.ceil(tx / tw - 1) + sy = math.ceil(ty / th) + ex = math.ceil(sx + w / tw + 1) + ey = math.ceil(sy + h / th * 2) + end + + self.drawRange = { + sx = sx, + sy = sy, + ex = ex, + ey = ey, + } +end + +function Map:getCollisionMap(index) + local layer = assert(self.layers[index], "Layer not found: " .. index) + + assert(layer.type == "tilelayer", "Invalid layer type: " .. layer.type .. ". Layer must be of type: tilelayer") + + local w = self.width + local h = self.height + local map = { + type = layer.type, + orientation = layer.orientation, + collision = true, + opacity = 0.5, + data = {}, + } + + for y=1, h do + map.data[y] = {} + for x=1, w do + if layer.data[y][x] == nil then + map.data[y][x] = 0 + else + map.data[y][x] = 1 + + ctile = collider:addRectangle((x - 1) * self.tilewidth, (y - 1) * self.tileheight, self.tilewidth, self.tileheight) + collider:setPassive(ctile) + end + end + end + + return map +end + +function Map:addCustomLayer(name, index) + local layer = { + type = "customlayer", + name = name, + visible = true, + opacity = 1, + properties = {}, + } + + function layer:draw() return end + function layer:update(dt) return end + + table.insert(self.layers, index, layer) + self.layers[name] = self.layers[index] +end + +function Map:convertToCustomLayer(index) + local layer = assert(self.layers[index], "Layer not found: " .. index) + + layer.type = "customlayer" + layer.x = nil + layer.y = nil + layer.width = nil + layer.height = nil + layer.encoding = nil + layer.data = nil + layer.objects = nil + layer.image = nil + + function layer:draw() return end + function layer:update(dt) return end +end + +function Map:removeLayer(index) + local layer = assert(self.layers[index], "Layer not found: " .. index) + + if type(index) == "string" then + for i, layer in ipairs(self.layers) do + if layer.name == index then + table.remove(self.layers, i) + table.remove(self.layers, index) + break + end + end + else + local name = self.layers[index].name + table.remove(self.layers, index) + table.remove(self.layers, name) + end +end + +function Map:update(dt) + for _, layer in ipairs(self.layers) do + layer:update(dt) + end +end + +function Map:draw() + for _, layer in ipairs(self.layers) do + if layer.visible and layer.opacity > 0 then + self:drawLayer(layer) + end + end +end + +function Map:drawLayer(layer) + love.graphics.setColor(255, 255, 255, 255 * layer.opacity) + layer:draw() + love.graphics.setColor(255, 255, 255, 255) +end + +function Map:drawTileLayer(layer) + assert(layer.type == "tilelayer", "Invalid layer type: " .. layer.type .. ". Layer must be of type: tilelayer") + + local bw = layer.batches.width + local bh = layer.batches.height + local sx = math.ceil((self.drawRange.sx - layer.x / self.tilewidth - 1) / bw) + local sy = math.ceil((self.drawRange.sy - layer.y / self.tileheight - 1) / bh) + local ex = math.ceil((self.drawRange.ex - layer.x / self.tilewidth + 1) / bw) + local ey = math.ceil((self.drawRange.ey - layer.y / self.tileheight + 1) / bh) + local mx = math.ceil(self.width / bw) + local my = math.ceil(self.height / bh) + + for by=sy, ey do + for bx=sx, ex do + if bx >= 1 and bx <= mx and by >= 1 and by <= my then + for _, batches in pairs(layer.batches.data) do + local batch = batches[by] and batches[by][bx] + + if batch then + love.graphics.draw(batch, math.floor(layer.x), math.floor(layer.y)) + end + end + end + end + end +end + +function Map:drawObjectLayer(layer) + assert(layer.type == "objectgroup", "Invalid layer type: " .. layer.type .. ". Layer must be of type: objectgroup") + + local line = { 160, 160, 160, 255 * layer.opacity } + local fill = { 160, 160, 160, 255 * layer.opacity * 0.2 } + local shadow = { 0, 0, 0, 255 * layer.opacity } + + local function drawEllipse(mode, x, y, rx, ry) + local segments = 100 + local vertices = {} + + table.insert(vertices, x + rx / 2) + table.insert(vertices, y + ry / 2) + + for i=0, segments do + local angle = (i / segments) * math.pi * 2 + local px = x + rx / 2 + math.cos(angle) * rx / 2 + local py = y + ry / 2 + math.sin(angle) * ry / 2 + + table.insert(vertices, px) + table.insert(vertices, py) + end + + love.graphics.polygon(mode, vertices) + end + + for _, object in ipairs(layer.objects) do + local x = layer.x + object.x + local y = layer.y + object.y + + if object.shape == "rectangle" then + love.graphics.setColor(fill) + love.graphics.rectangle("fill", x, y, object.width, object.height) + + love.graphics.setColor(shadow) + love.graphics.rectangle("line", x+1, y+1, object.width, object.height) + + love.graphics.setColor(line) + love.graphics.rectangle("line", x, y, object.width, object.height) + elseif object.shape == "ellipse" then + love.graphics.setColor(fill) + drawEllipse("fill", x, y, object.width, object.height) + + love.graphics.setColor(shadow) + drawEllipse("line", x+1, y+1, object.width, object.height) + + love.graphics.setColor(line) + drawEllipse("line", x, y, object.width, object.height) + elseif object.shape == "polygon" then + local points = {{},{}} + + for _, point in ipairs(object.polygon) do + table.insert(points[1], x + point.x) + table.insert(points[1], y + point.y) + table.insert(points[2], x + point.x+1) + table.insert(points[2], y + point.y+1) + end + + love.graphics.setColor(fill) + if not love.math.isConvex(points[1]) then + local triangles = love.math.triangulate(points[1]) + for _, triangle in ipairs(triangles) do + love.graphics.polygon("fill", triangle) + end + else + love.graphics.polygon("fill", points[1]) + end + + love.graphics.setColor(shadow) + love.graphics.polygon("line", points[2]) + + love.graphics.setColor(line) + love.graphics.polygon("line", points[1]) + elseif object.shape == "polyline" then + local points = {{},{}} + + for _, point in ipairs(object.polyline) do + table.insert(points[1], x + point.x) + table.insert(points[1], y + point.y) + table.insert(points[2], x + point.x+1) + table.insert(points[2], y + point.y+1) + end + + love.graphics.setColor(shadow) + love.graphics.line(points[2]) + + love.graphics.setColor(line) + love.graphics.line(points[1]) + end + end +end + +function Map:drawImageLayer(layer) + assert(layer.type == "imagelayer", "Invalid layer type: " .. layer.type .. ". Layer must be of type: imagelayer") + + if layer.image ~= "" then + love.graphics.draw(layer.image, layer.x, layer.y) + end +end + +function Map:drawCollisionMap(layer) + assert(layer.type == "tilelayer", "Invalid layer type: " .. layer.type .. ". Layer must be of type: tilelayer") + assert(layer.collision, "This is not a collision layer") + + local tw = self.tilewidth + local th = self.tileheight + + love.graphics.setColor(255, 255, 255, 255 * layer.opacity) + + for y=1, self.height do + for x=1, self.width do + local tx, ty + + if self.orientation == "orthogonal" then + tx = (x - 1) * tw + ty = (y - 1) * th + elseif self.orientation == "isometric" then + tx = (x - y) * (tw / 2) - self.tilewidth / 2 + ty = (x + y) * (th / 2) - self.tileheight + elseif self.orientation == "staggered" then + if y % 2 == 0 then + tx = x * tw + tw / 2 - self.tilewidth + else + tx = x * tw - self.tilewidth + end + + ty = y * th / 2 - self.tileheight + end + + + if layer.data[y][x] == 1 then + love.graphics.rectangle("fill", tx, ty, tw, th) + else + love.graphics.rectangle("line", tx, ty, tw, th) + end + end + end + + love.graphics.setColor(255, 255, 255, 255) +end + +-- http://wiki.interfaceware.com/534.html +function string.split(s, d) + local t = {} + local i = 0 + local f + local match = '(.-)' .. d .. '()' + + if string.find(s, d) == nil then + return {s} + end + + for sub, j in string.gmatch(s, match) do + i = i + 1 + t[i] = sub + f = j + end + + if i ~= 0 then + t[i+1] = string.sub(s, f) + end + + return t +end + +function bit.status(num, digit) + return bit.band(num, bit.lshift(1, digit)) ~= 0 +end + +return STI diff --git a/src/ui.lua b/src/ui.lua new file mode 100644 index 0000000..95ffbfb --- /dev/null +++ b/src/ui.lua @@ -0,0 +1,4 @@ +local ui = {} + + +return ui