cleaned up a bunch of library functions.

hex.lua

@@ -1,31 +1,14 @@
------ [[ AXIAL/CUBE COORDINATE SYSTEM FOR AMULET/LUA]] -------------------------
+----- [[ AXIAL/CUBE COORDINATE HEXAGON LIBRARY FOR AMULET/LUA]] ----------------
 --[[                                                     author@churchianity.ca
         -- INTRODUCTION
     this is a hexagonal grid library for amulet/lua.
     it uses axial coordinates or cube/hex coordinates when necessary.
     by amulet convention, hexes are either vec2(s, t) or vec3(s, t, z)
     but nearly always the former. 
-    
-    in some rare cases, coordinates will be passed individually, usually
-    because they are only passed internally and should never be adjusted
-    directly.
-
-    in amulet, vector arithmetic already works via: + - * / 
-    additional things such as equality, and distance are implemented here.
-    
-    +support for parallelogram, triangular, hexagonal and rectangular maps.
-    +support for arbitrary maps with gaps via hashmaps-like storage
-    +support for simple irregular hexagons (horizontal and vertical stretching).
-
-    classes are used sparsely. maps implement a few constructors for storing
-    your maps elsewhere, and should be the only field that is necessarily 
-    visible outside the library.
 
-        -- RESOURCES USED TO DEVELOP THIS LIBRARY
+        -- RESOURCES USED TO DEVELOP THIS LIBRARY, AND FOR WHICH I AM GRATEFUL
     https://redblobgames.com/grid/hexagons    - simply amazing. 
     http://amulet.xyz/doc                     - amulet documentation
-    TODO that place that had the inner circle/outer circle ratio?? 
-
   ]]
 
 ----- [[ GENERALLY USEFUL FUNCTIONS ]] -----------------------------------------
@@ -35,7 +18,7 @@ local function round(n)
     return n % 1 >= 0.5 and math.ceil(n) or math.floor(n)
 end
 
------ [[ HEX CONSTANTS ]] ------------------------------------------------------
+----- [[ HEX CONSTANTS & UTILITY FUNCTIONS ]] ----------------------------------
 
 -- all possible vector directions from a given hex by edge
 local HEX_DIRECTIONS = {vec2( 1 ,  0), 
@@ -45,20 +28,19 @@ local HEX_DIRECTIONS = {vec2( 1 ,  0),
                         vec2(-1 ,  1), 
                         vec2( 0 ,  1)}
 
------ [[ HEX UTILITY FUNCTIONS ]] ----------------------------------------------
-
-function hex_equals(a, b)
-    return a.s == b.s and a.t == b.t
+-- return hex vector direction via index |direction|.
+function hex_direction(direction)
+    return HEX_DIRECTIONS[direction]
 end
 
-function hex_length(hex)
-    return round(math.abs(hex.s) + math.abs(hex.r) + math.abs(-hex.s - hex.t)/2)
-end
-
-function hex_distance(a, b)
-    return hex_length(a - b)
+-- return hexagon adjacent to |hex| in |direction|
+function hex_neighbour(hex, direction)
+    return hex + HEX_DIRECTION[direction]
 end
 
+-- rounds hexes. without this, pixel_to_hex returns fractional coordinates.
+-- using single coordinates instead of a vector, because this should only
+-- ever be called internally.
 function hex_round(s, t)
     local rs = round(s)
     local rt = round(t)
@@ -82,15 +64,16 @@ end
 ----- [[ LAYOUT, ORIENTATION & COORDINATE CONVERSION  ]] -----------------------
 
 -- forward & inverse matrices used for the flat orientation.
-local FLAT = {3.0/2.0,  0.0,  3.0^0.5/2.0,  3.0^0.5, 
-              2.0/3.0,  0.0,  -1.0/3.0   ,  3.0^0.5/3.0}
+local FLAT = {M = mat2(3.0/2.0,  0.0,  3.0^0.5/2.0,  3.0^0.5    ),
+              W = mat2(2.0/3.0,  0.0,  -1.0/3.0   ,  3.0^0.5/3.0)}
 
--- forward & inverse matrices used for the pointy orientation. 
-local POINTY = {3.0^0.5,  3.0^0.5/2.0,  0.0,  3.0/2.0,  
-                3.0^0.5/3.0,  -1.0/3.0,  0.0,  2.0/3.0}
+-- forward & inverse matrices used for the pointy orientation.
+local POINTY = {M = mat2(3.0^0.5,  3.0^0.5/2.0,  0.0,   3.0/2.0),
+                W = mat2(3.0^0.5/3.0,  -1.0/3.0,  0.0,  2.0/3.0)}
 
+-- TODO encapsulate hex_to_pixel and pixel_to_hex in layout table.
 -- stores layout information that does not pertain to map shape 
-function layout_init(origin, size, orientation)
+function hex_layout(origin, size, orientation)
     return {origin      = origin      or vec2(0),
             size        = size        or vec2(11),
             orientation = orientation or FLAT}
@@ -98,117 +81,66 @@ end
 
 -- hex to screen
 function hex_to_pixel(hex, layout)
-    local M = layout.orientation
+    local M = layout.orientation.M
     
-    local x = (M[1] * hex.s + M[2] * hex.t) * layout.size.x
-    local y = (M[3] * hex.s + M[4] * hex.t) * layout.size.y
+    local x = (M[1][1] * hex.s + M[1][2] * hex.t) * layout.size.x
+    local y = (M[2][1] * hex.s + M[2][2] * hex.t) * layout.size.y
 
     return vec2(x + layout.origin.x, y + layout.origin.y)
 end
 
 -- screen to hex
 function pixel_to_hex(pix, layout)
-    local M = layout.orientation
+    local W = layout.orientation.W
 
     local pix = (pix - layout.origin) / layout.size 
 
-    local s = M[5] * pix.x + M[6] * pix.y
-    local t = M[7] * pix.x + M[8] * pix.y
+    local s = W[1][1] * pix.x + W[1][2] * pix.y
+    local t = W[2][1] * pix.x + W[2][2] * pix.y
 
     return hex_round(s, t) 
 end
 
 ----- [[ MAP STORAGE & RETRIEVAL ]] --------------------------------------------
-
---[[ _init functions return a table of tables;
-     a map of points in a chosen shape and specified layout.
-     
-     grammap_init       -       parallelogram map
-     trimap_init        -       triangular map
-     hexmap_init        -       hexagonal map
-     rectmap_init       -       rectangular map
-
-     calling .retrieve(pix) on your map will get the hexagon at that pixel.
-     calling .store(hex) on your map will store that hex as pixel coords.
-     
-     maps store coordinates like this:
-
-     map[hex] = hex_to_pixel(hex)
-
-     this means you should be able to get all the information you need about
-     various coordinates completely within the map 'class', without calling
-     any internal functions. indeed, *map_init, map.retrieve, and map.store
-     is all you need.
+--[[
   ]]
+-- TODO make all functions work regardless of layout.
 
--- returns parallelogram-shaped map. 
-function grammap_init(layout, width, height)
+-- returns unordered parallelogram-shaped map of |width| and |height|. 
+function hex_parallelogram_map(width, height)
     local map = {}
-    local mt = {__index={layout=layout, 
-
-            -- get hex in map from pixel coordinate
-            retrieve=function(pix)
-                return pixel_to_hex(pix, layout)
-            end,
-
-            -- store pixel in map from hex coordinate
-            store=function(hex)
-                map[hex]=hex_to_pixel(hex, layout)             
-            end
-            }}
+    local mt = {__index={width=width, height=height}} 
     
     setmetatable(map, mt)
     
     for s = 0, width do
         for t = 0, height do
-            table.insert(map, hex_to_pixel(vec2(s, t), layout)) 
+            map[vec2(s, t)] = true
         end
     end
     return map
 end
 
--- returns triangular map. 
-function trimap_init(layout, size)
+-- returns unordered triangular map of |size|.
+function hex_triangular_map(size)
     local map = {}
-    local mt = {__index={layout=layout,
-    
-            -- get hex in map from pixel coordinate
-            retrieve=function(pix)
-                return pixel_to_hex(pix, layout)
-            end,
-
-            -- store pixel in map from hex coordinate
-            store=function(hex)
-                map[hex]=hex_to_pixel(hex, layout)
-            end
-            }}
+    local mt = {__index={size=size}}
     
     setmetatable(map, mt)
 
     for s = 0, size do
         for t = size - s, size do
-            map.store(vec2(s, t))
+            map[vec2(s, t)] = true
         end
     end
     return map
 end
 
--- returns hexagonal map. length of map is radius * 2 + 1 
-function hexmap_init(layout, radius) 
+-- returns unordered hexagonal map of |radius|.  
+function hex_hexagonal_map(radius) 
     local map = {}
-    local mt = {__index={layout=layout,
+    local mt = {__index={radius=radius}}
             
-            -- get hex in map from pixel coordinate
-            retrieve=function(pix)
-                return pixel_to_hex(pix, layout)
-            end,
-
-            -- store pixel in map from hex coordinate
-            store=function(hex)
-                map[hex]=hex_to_pixel(hex, layout)        
-            end
-            }}
-
     setmetatable(map, mt)
 
     for s = -radius, radius do
@@ -216,33 +148,22 @@ function hexmap_init(layout, radius)
         local t2 = math.min(radius, -s + radius)
 
         for t = t1, t2 do
-            table.insert(map, hex_to_pixel(vec2(s, t), layout))
+            map[vec2(s, t)] = true
         end
     end
     return map
 end
 
--- returns rectangular map. 
-function rectmap_init(layout, width, height)
+-- returns unordered rectangular map of |width| and |height|. 
+function hex_rectangular_map(width, height)
     local map = {}
-    local mt = {__index={layout=layout,
+    local mt = {__index={width=width, height=height}}
                
-            -- get hex in map from pixel coordinate                    
-            retrieve=function(pix)
-                return pixel_to_hex(pix, layout)
-            end,
-
-            -- store pixel in map from hex coordinate
-            store=function(hex)
-                map[hex]=hex_to_pixel(hex - vec2(0, math.floor(hex.s/2)), layout) 
-            end
-            }}
-    
     setmetatable(map, mt) 
         
     for s = 0, width do
         for t = 0, height do
-            map.store(vec2(s, t))
+            map[vec2(s, t)] = true
         end
     end
     return map 

main.lua

@@ -1,107 +1,57 @@
------ [[ WARZONE 2 - HEXAGONAL GRID RESOURCE BASED TOWER DEFENSE GAME]] -------
+----- [[ WARZONE 2 - HEXAGONAL GRID RESOURCE BASED TOWER DEFENSE GAME]] --------
 --[[                                                    author@churchianity.ca
 
   ]]
 
 require "hex"
+require "util"
 
------ [[ DUMMY FUNCTIONS ]] ----------------------------------------------------
+local world 
 
-function show_hex_coords()
-    grid:action(function()
-        grid:remove("text")
-        
-        mouse_position = vec2(win:mouse_position().x, win:mouse_position().y)
 
-        if mouse_position.x < 268 then
-            hex = map.retrieve(mouse_position)
-            grid:append(am.translate(win.left + 30, win.top - 10) 
-                           ^ am.text(string.format("%d,%d", hex.s, hex.t)))
-        end
-    end)
-end
-
-function rcolor()
-    return vec4(math.random(20, 80) / 100,
-                math.random(20, 80) / 100,
-                math.random(20, 80) / 100,
-                1)
-end
+local guibgcolor = vec4(0.5, 0.5, 0.2, 0)
 
-SPRITES = {"BoulderHills1.png", "BoulderHills2.png", "BoulderHills2.png",
-           "Brambles1.png", "Brambles2.png", "Brambles3.png", "Brambles4.png",
-           "BrownHills1.png", "BrownHills2.png", "BrownHills3.png", 
-           "Grass1.png", "Grass2.png", "Grass3.png", "Grass4.png", "Grass5.png",           "Hills1.png", "Hills2.png", "Hills3.png", "Hills4.png", "Hills5.png",
-           "HillsGreen1.png", "HillsGreen2.png", "HillsGreen3.png", 
-           "LightGrass1.png", "LightGrass2.png", "LightGrass3.png",
-           "LowHills1.png", "LowHills2.png", "LowHills3.png", "LowHills4.png",
-           "Mountains1.png", "Mountains2.png", "Mountains3.png", 
-           "Mud1.png", "Mud2.png", "Mud3.png", "Mud4.png", "Mud5.png",
-           "Orchards1.png", "Orchards2.png", "Orchards3.png", "Orchards4.png",
-           "PineForest1.png", "PineForest2.png", "PineForest3.png", 
-           "Woods1.png", "Woods2.png", "Woods3.png", "Woods4.png"}
+local win = am.window{
+    -- BASE RESOLUTION = 3/4 * WXGA Standard 16:10
+    width = 1280 * 3 / 4, -- 960px
+    height = 800 * 3 / 4, -- 600px
+   
+    title = "Warzone 2: Electric Boogaloo"}
 
-function rsprite()
-    return string.format("res/%s", SPRITES[math.random(#SPRITES)])
+function show_axes()
+    xaxis = am.line(vec2(win.left, 0), vec2(win.right, 0))
+    yaxis = am.line(vec2(0, win.top), vec2(0, win.bottom)) 
+    world:append(am.group{xaxis, yaxis}:tag("axes"))
 end
 
------ [[ BLAH BLAH LBAH ]] -----------------------------------------------
-
-win = am.window {
-        title = "Warzone 2: Electric Boogaloo",
-    
-        -- BASE RESOLUTION = 3/4 * WXGA Standard 16:10 Aspect Ratio
-        width = 1280 * 3 / 4, -- 960
-        height = 800 * 3 / 4} -- 600
-
------ [[ MAP RENDERING ]] ------------------------------------------------
-
-function grid_init()
-    grid = am.group()
-    
-    map = rectmap_init(layout_init(vec2(win.left, win.bottom)), 45, 31)
-    
-    grid:action(function() 
-        for hex,pix in pairs(map) do
-            grid:append(am.circle(pix, map.layout.size.x, rcolor(), 6))
+function world_init()
+    world = am.group()
+    local layout = layout_init(vec2(-402, win.bottom))
+    local map = rectmap_init(45, 31)
+    local lgui = am.group(
+                 am.rect(win.left, win.top, -402, win.bottom, guibgcolor))
+    local rgui = am.group(
+                 am.rect(win.right, win.top, 402, win.bottom, guibgcolor))
+
+    world:append(lgui)
+    world:append(rgui)
+
+    world:action(coroutine.create(function()
+        for hex,_ in pairs(map) do
+            world:append(am.circle(hex_to_pixel(hex, layout), 11, rrgb(1), 6))
+            am.wait(am.delay(0.01))
         end
-        return true
-    end)    
+    end))
 
-    grid:append(am.translate(350, 200) 
-             ^ am.scale(2) 
-             ^ am.sprite("2.png"))
-
-    show_hex_coords()
-
-    return grid
 end
 
-function toolbar_init()
-    local toolbar = am.group() 
-    local toolbar_bg = vec4(0.4, 0.6, 0.8, 1)
-
-    toolbar:append(am.rect(268, win.top, win.right, win.bottom, toolbar_bg))
-    
-    toolbar:append(am.particles2d({source_pos=vec2(win.width/2-268, win.top),
-                                   source_pos_var=vec2(0, 600),
-                                   angle=math.pi/4,
-                                   start_color=vec4(0.9),
-                                   gravity=vec2(100),
-                                   start_color_var=rcolor(),
-                                   start_size=3}))
-    return toolbar 
+function init()
+    world_init()
+    show_axes()
+    win.scene = world
 end
 
-function game_init()
-    return am.group{grid_init(), toolbar_init()}
-end
-
------ [[ MAIN ]] -----------------------------------------------------------
-
-local map = {}
-
-win.scene = game_init()
+----- [[ MAIN ]] ---------------------------------------------------------------
 
-show_hex_coords()
+init()
 

util.lua

@@ -0,0 +1,9 @@
+
+function rrgb(a)
+    local R = math.random(20, 80) / 100
+    local G = math.random(20, 80) / 100
+    local B = math.random(20, 80) / 100
+    local A = a or math.random()
+
+    return vec4(R, G, B, A)
+end