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woweee

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churchianity 6 years ago
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  1. 158
      hex.lua
  2. 41
      main.lua

158
hex.lua
View File

@ -1,38 +1,26 @@
----- [[ AXIAL/CUBE COORDINATE SYSTEM FOR AMULET/LUA]] -------------------------
--[[ author@churchianity.ca
-- INTRODUCTION
this is a library for making grids of hexagons using lua.
it has made exclusive (though not thorough) use of standard lua
5.2 functionality, making it as portable as possible. it
doesn't even use a point class, simply returning tables
of integers, which can later be unpacked into your amulet
vectors, or whatever else you want to use. in honor of amulet,
when necessary to name cube/hex coordinates, (s, t, z) is the
convention.
only returning tables can result in some nasty looking lines
with lots of table unpacks, but if your graphics library likes
traditional lua types, you will be better off.
it supports triangular, hexagonal, rectangular, and
parallelogram map shapes.
it supports non-regular hexagons, though it's trickier to get
working in amulet. TODO work on this.
-- NOTE ON ORIENTATION + AMULET
because of the way amulet draws hexagons (amulet essentially
draws a 6-sided circle from a centerpoint, instead of of a
series of lines connecting points), the flat orientation is
default and recommended. other orientations are possible
with am.rotate, but can cause aliasing issues. TODO work on this.
-- TODO NOTE -
amulet has another draw function I neglected, simply am.draw.
i don't understand how it works, but it seems to be able to
draw arbitrary polygons via a list of vertices. so.
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 simple irregular hexagons (horizontal and vertical stretching).
classes are used sparsely. maps implement a few constructors, for storing
your maps elsewhere.
-- RESOURCES USED TO DEVELOP THIS LIBRARY
https://redblobgames.com/grid/hexagons - simply amazing. amit is a god.
https://redblobgames.com/grid/hexagons - simply amazing.
http://amulet.xyz/doc - amulet documentation
TODO that place that had the inner circle/outer circle ratio??
@ -41,23 +29,23 @@
----- [[ GENERALLY USEFUL FUNCTIONS ]] -----------------------------------------
-- just incase you don't already have a rounding function.
function round(n)
local function round(n)
return n % 1 >= 0.5 and math.ceil(n) or math.floor(n)
end
---- [[ HEX CONSTANTS ]] -------------------------------------------------------
-- all possible vector directions from a given hex by edge
HEX_DIRECTIONS = {{ 1 , 0},
{ 1 , -1},
{ 0 , -1},
{-1 , 0},
{-1 , 1},
{ 0 , 1}}
local HEX_DIRECTIONS = {vec2( 1 , 0),
vec2( 1 , -1),
vec2( 0 , -1),
vec2(-1 , 0),
vec2(-1 , 1),
vec2( 0 , 1)}
-- HEX UTILITY FUNCTIONS -------------------------------------------------------
function hex_round(s, t)
local function hex_round(s, t)
rs = round(s)
rt = round(t)
rz = round(-s - t)
@ -74,7 +62,7 @@ function hex_round(s, t)
rz = -rs - rt
end
return {rs, rt}
return vec2(rs, rt)
end
----- [[ LAYOUT, ORIENTATION & COORDINATE CONVERSION ]] -----------------------
@ -89,30 +77,29 @@ local POINTY = {3.0^0.5, 3.0^0.5/2.0, 0.0, 3.0/2.0,
-- layout.
function layout_init(origin, size, orientation)
return {origin = origin or {0, 0},
size = size or {11, 11},
return {origin = origin or vec2(0),
size = size or vec2(11),
orientation = orientation or FLAT}
end
-- hex to screen
function hex_to_pixel(s, t, layout)
function hex_to_pixel(hex, layout)
M = layout.orientation
x = (M[1] * s + M[2] * t) * layout.size[1]
y = (M[3] * s + M[4] * t) * layout.size[2]
x = (M[1] * hex.s + M[2] * hex.t) * layout.size.x
y = (M[3] * hex.s + M[4] * hex.t) * layout.size.y
return {x + layout.origin[1], y + layout.origin[2]}
return vec2(x + layout.origin.x, y + layout.origin.y)
end
-- screen to hex
function pixel_to_hex(x, y, layout)
function pixel_to_hex(pix, layout)
M = layout.orientation
px = {(x - layout.origin[1]) / layout.size[1],
(y - layout.origin[2]) / layout.size[2]}
pix = (pix - layout.origin) / layout.size
s = M[5] * px[1] + M[6] * px[2]
t = M[7] * px[1] + M[8] * px[2]
s = M[5] * pix.x + M[6] * pix.y
t = M[7] * pix.x + M[8] * pix.y
return hex_round(s, t)
end
@ -129,12 +116,12 @@ end
function map_parallelogram_init(layout, width, height)
map = {}
setmetatable(map, {__index={layout=layout,
shape="parallelogram",
width=width,
height=height}})
height=height,
shape="parallelogram"}})
for s = 0, width do
for t = 0, height do
table.insert(map, hex_to_pixel(s, t, layout))
table.insert(map, hex_to_pixel(vec2(s, t), layout))
end
end
return map
@ -144,11 +131,11 @@ end
function map_triangular_init(layout, size)
map = {}
setmetatable(map, {__index={layout=layout,
shape="triangular",
size=size}})
size=size,
shape="triangular"}})
for s = 0, size do
for t = size - s, size do
table.insert(map, hex_to_pixel(s, t, layout))
table.insert(map, hex_to_pixel(vec2(s, t), layout))
end
end
return map
@ -158,14 +145,14 @@ end
function map_hexagonal_init(layout, radius)
map = {}
setmetatable(map, {__index={layout=layout,
shape="hexagonal",
radius=radius}})
radius=radius,
shape="hexagonal"}})
for s = -radius, radius do
t1 = math.max(-radius, -s - radius)
t2 = math.min(radius, -s + radius)
for t = t1, t2 do
table.insert(map, hex_to_pixel(s, t, layout))
table.insert(map, hex_to_pixel(vec2(s, t), layout))
end
end
return map
@ -174,49 +161,28 @@ end
-- returns rectangular map.
function map_rectangular_init(layout, width, height)
map = {}
setmetatable(map, {__index={layout=layout,
shape="rectangular",
width=width,
height=height}})
mt = {__index = {layout = layout, width = width, height = height,
retrieve = function(pix)
hex = pixel_to_hex(pix, layout)
print(tostring(hex))
print(map[tostring(hex)])
return vec2(hex.s, hex.t + math.floor(hex.s / 2))
end,
store = function(hex)
pix = hex_to_pixel(hex, layout)
return vec2(pix.x - math.floor(pix.y / 2), pix.y)
end}}
for s = 0, width do
soffset = math.floor(s/2)
for t = -soffset, height - soffset do
table.insert(map, hex_to_pixel(s, t, layout))
map[tostring(vec2(s, t))] = hex_to_pixel(vec2(s, t), layout)
end
end
setmetatable(map, mt)
return map
end
-- places single hex into map table, if it is not already present.
function map_store(map)
end
-- retrieves single hex from map table. explodes if can't find it.
function map_retrieve(map, hex)
if map.shape == "rectangular" then
if map.layout.orientation == FLAT then
return {hex[1] + math.floor(hex[2]/2), hex[2]}
else
return {hex[1], hex[2] + math.floor(hex[1]/2)}
end
elseif map.shape == "hexagonal" then
if map.layout.orientation == FLAT then
else
end
elseif map.shape == "parallelogram" then
if map.layout.orientation == FLAT then
else
end
else
end
end

41
main.lua
View File

@ -5,14 +5,16 @@
require "hex"
----- [[ DUMMY FUNCTIONS ]] ------------------------------------------------------
----- [[ DUMMY FUNCTIONS ]] ----------------------------------------------------
function draw_axes()
xaxis = am.line(vec2(-win.width / 2, 0) , vec2(win.width / 2, 0))
yaxis = am.line(vec2(0, -win.height / 2), vec2(0, win.height / 2))
title_scene:append(xaxis)
title_scene:append(yaxis)
function show_hex_coords(map)
test_scene:action(function()
mouse_position = vec2(win:mouse_position().x, win:mouse_position().y)
hex = map.retrieve(mouse_position)
test_scene:remove("text")
test_scene:append(am.translate(win.right - 30, win.top - 10)
^ am.text(string.format("%d,%d", hex.s, hex.t)))
end)
end
function rcolor()
@ -21,37 +23,34 @@ end
----- [[ BLAH BLAH LBAH ]] -----------------------------------------------
local win = am.window {
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
local layout = layout_init({win.left, win.bottom})
----- [[ MAP RENDERING ]] ------------------------------------------------
function render_map(layout)
function game_scene(layout)
map = map_rectangular_init(layout, 45, 31)
hexagons = am.group()
for _,v in pairs(map) do
hexagons:append(am.circle(vec2(unpack(v)), layout.size[1], rcolor(), 6))
for _,hex in pairs(map) do
hexagons:append(
am.circle(hex, layout.size.x, rcolor(), 6):tag(tostring(hex)))
end
return hexagons
end
----- [[ MAIN ]] -----------------------------------------------------------
local game_scene = render_map(layout)
local test_scene = am.group()
map = {}
game_scene = game_scene(layout_init(vec2(win.left, win.bottom)))
test_scene = am.group()
win.scene = am.group{test_scene, game_scene}
test_scene:action(function()
hexpos = pixel_to_hex(win:mouse_position().x, win:mouse_position().y, layout)
x, y = unpack(map_retrieve(map, hexpos))
test_scene:remove_all("text")
test_scene:append(am.translate(x, y) ^ am.text(string.format("%d, %d", hexpos[1], hexpos[2])))
end)
show_hex_coords(map)
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