|
@ -13,21 +13,21 @@ end |
|
|
============================================================================]]-- |
|
|
============================================================================]]-- |
|
|
|
|
|
|
|
|
-- all possible vector directions from a given hex by edge |
|
|
-- all possible vector directions from a given hex by edge |
|
|
local CUBE_DIRECTIONS = {vec2( 1 , 0), |
|
|
|
|
|
|
|
|
local CUBE_DIRECTIONS = {vec2( 0 , 1), |
|
|
|
|
|
vec2( 1 , 0), |
|
|
vec2( 1 , -1), |
|
|
vec2( 1 , -1), |
|
|
vec2( 0 , -1), |
|
|
vec2( 0 , -1), |
|
|
vec2(-1 , 0), |
|
|
vec2(-1 , 0), |
|
|
vec2(-1 , 1), |
|
|
|
|
|
vec2( 0 , 1)} |
|
|
|
|
|
|
|
|
vec2(-1 , 1)} |
|
|
|
|
|
|
|
|
-- return hex vector direction via integer index |direction|. |
|
|
-- return hex vector direction via integer index |direction|. |
|
|
function cube_direction(direction) |
|
|
function cube_direction(direction) |
|
|
return CUBE_DIRECTIONS[(6 + (direction % 6)) % 6 + 1] |
|
|
|
|
|
|
|
|
return CUBE_DIRECTIONS[(direction % 6) % 6 + 1] |
|
|
end |
|
|
end |
|
|
|
|
|
|
|
|
-- return hexagon adjacent to |hex| in integer index |direction|. |
|
|
-- return hexagon adjacent to |hex| in integer index |direction|. |
|
|
function cube_neighbour(hex, direction) |
|
|
function cube_neighbour(hex, direction) |
|
|
return hex + CUBE_DIRECTIONS[(6 + (direction % 6)) % 6 + 1] |
|
|
|
|
|
|
|
|
return hex + CUBE_DIRECTIONS[(direction % 6) % 6 + 1] |
|
|
end |
|
|
end |
|
|
|
|
|
|
|
|
-- return cube coords at location 60deg away to the left; counter-clockwise |
|
|
-- return cube coords at location 60deg away to the left; counter-clockwise |
|
@ -127,7 +127,6 @@ end |
|
|
|
|
|
|
|
|
--[[============================================================================ |
|
|
--[[============================================================================ |
|
|
----- MAPS & STORAGE ----- |
|
|
----- MAPS & STORAGE ----- |
|
|
|
|
|
|
|
|
MAPS STORE CUBE COORDINATES. MAPS STORE CUBE COORDINATES. MAPS STORE CUBE COOR |
|
|
MAPS STORE CUBE COORDINATES. MAPS STORE CUBE COORDINATES. MAPS STORE CUBE COOR |
|
|
|
|
|
|
|
|
This means, you are not to draw using the coordinates stored in your map. |
|
|
This means, you are not to draw using the coordinates stored in your map. |
|
@ -135,14 +134,26 @@ end |
|
|
|
|
|
|
|
|
If you wish to draw a hexagon to the screen, you must first use cube_to_pixel |
|
|
If you wish to draw a hexagon to the screen, you must first use cube_to_pixel |
|
|
to retrieve the center of the hexagon on each set of cube coordinates stored |
|
|
to retrieve the center of the hexagon on each set of cube coordinates stored |
|
|
in your map. |
|
|
|
|
|
|
|
|
in your map. Then, depending on how you are going to draw, either call |
|
|
|
|
|
am.circle with |sides| = 6, or gather the vertices with hex_corners and |
|
|
|
|
|
use am.draw - TODO, haven't used am.draw yet. |
|
|
|
|
|
|
|
|
Information about the maps' dimensions are stored in a metatable, so you can |
|
|
Information about the maps' dimensions are stored in a metatable, so you can |
|
|
retrieve details about arbitrary maps after they are created. |
|
|
|
|
|
|
|
|
retrieve details about maps after they are created. |
|
|
|
|
|
|
|
|
|
|
|
----- NOISE ----- |
|
|
|
|
|
To simplify terrain generation, unordered, hash-like maps automatically |
|
|
|
|
|
calculate and store perlin noise as their values. You can modify the nature |
|
|
|
|
|
of the noise by providing different |frequencies| as a tables of values, for |
|
|
|
|
|
example: {1, 2, 4, 8} or {1, 0.5, 0.25, 0.125}. These just increase the |
|
|
|
|
|
complexity of the curvature of the noise. The default is {1}. |
|
|
|
|
|
|
|
|
|
|
|
----- TODO ----- |
|
|
TODO make all functions work regardless of layout. as it stands, they kind |
|
|
TODO make all functions work regardless of layout. as it stands, they kind |
|
|
of do, just not always nicely. |
|
|
of do, just not always nicely. |
|
|
|
|
|
|
|
|
============================================================================]]-- |
|
|
============================================================================]]-- |
|
|
|
|
|
----- ORDERED MAPS ----- |
|
|
|
|
|
|
|
|
-- returns ordered ring-shaped map of |radius| from |center|. |
|
|
-- returns ordered ring-shaped map of |radius| from |center|. |
|
|
function ring_map(center, radius) |
|
|
function ring_map(center, radius) |
|
@ -163,8 +174,9 @@ function ring_map(center, radius) |
|
|
end |
|
|
end |
|
|
|
|
|
|
|
|
-- returns ordered hexagonal map of |radius| rings from |center|. |
|
|
-- returns ordered hexagonal map of |radius| rings from |center|. |
|
|
-- the only difference between hex_spiral_map and hex_hexagonal_map is that |
|
|
|
|
|
-- hex_spiral_map is ordered, in a spiral path from the |center|. |
|
|
|
|
|
|
|
|
-- the only difference between spiral_map and hexagonal_map is that |
|
|
|
|
|
-- spiral_map is ordered, in a spiral path from the |center|. |
|
|
|
|
|
|
|
|
function spiral_map(center, radius) |
|
|
function spiral_map(center, radius) |
|
|
local map = {center} |
|
|
local map = {center} |
|
|
local mt = {__index={center=center, radius=radius}} |
|
|
local mt = {__index={center=center, radius=radius}} |
|
@ -177,7 +189,9 @@ function spiral_map(center, radius) |
|
|
return map |
|
|
return map |
|
|
end |
|
|
end |
|
|
|
|
|
|
|
|
-- returns unordered parallelogram-shaped map of |width| and |height|. |
|
|
|
|
|
|
|
|
----- UNORDERED, HASH-LIKE MAPS ----- |
|
|
|
|
|
|
|
|
|
|
|
-- returns unordered parallelogram-shaped map of |width| and |height| with perlin noise |
|
|
function parallelogram_map(width, height) |
|
|
function parallelogram_map(width, height) |
|
|
local map = {} |
|
|
local map = {} |
|
|
local mt = {__index={width=width, height=height}} |
|
|
local mt = {__index={width=width, height=height}} |
|
@ -186,13 +200,13 @@ function parallelogram_map(width, height) |
|
|
|
|
|
|
|
|
for i = 0, width do |
|
|
for i = 0, width do |
|
|
for j = 0, height do |
|
|
for j = 0, height do |
|
|
map[vec2(i, -j)] = true |
|
|
|
|
|
|
|
|
map[vec2(i, j)] = true |
|
|
end |
|
|
end |
|
|
end |
|
|
end |
|
|
return map |
|
|
return map |
|
|
end |
|
|
end |
|
|
|
|
|
|
|
|
-- returns unordered triangular map of |size|. |
|
|
|
|
|
|
|
|
-- returns unordered triangular map of |size| with perlin noise |
|
|
function triangular_map(size) |
|
|
function triangular_map(size) |
|
|
local map = {} |
|
|
local map = {} |
|
|
local mt = {__index={size=size}} |
|
|
local mt = {__index={size=size}} |
|
@ -207,7 +221,7 @@ function triangular_map(size) |
|
|
return map |
|
|
return map |
|
|
end |
|
|
end |
|
|
|
|
|
|
|
|
-- returns unordered hexagonal map of |radius|. |
|
|
|
|
|
|
|
|
-- returns unordered hexagonal map of |radius| with perlin noise |
|
|
function hexagonal_map(radius) |
|
|
function hexagonal_map(radius) |
|
|
local map = {} |
|
|
local map = {} |
|
|
local mt = {__index={radius=radius}} |
|
|
local mt = {__index={radius=radius}} |
|
@ -225,21 +239,60 @@ function hexagonal_map(radius) |
|
|
return map |
|
|
return map |
|
|
end |
|
|
end |
|
|
|
|
|
|
|
|
-- returns unordered rectangular map of |width| and |height|. |
|
|
|
|
|
function rectangular_map(width, height) |
|
|
|
|
|
|
|
|
-- returns unordered rectangular map of |width| and |height| with perlin noise |
|
|
|
|
|
function rectangular_map(width, height, frequencies) |
|
|
|
|
|
|
|
|
local map = {} |
|
|
local map = {} |
|
|
local mt = {__index={width=width, height=height}} |
|
|
local mt = {__index={width=width, height=height}} |
|
|
|
|
|
local frequencies = frequencies or {1} |
|
|
|
|
|
|
|
|
setmetatable(map, mt) |
|
|
setmetatable(map, mt) |
|
|
|
|
|
|
|
|
for i = 0, width do |
|
|
for i = 0, width do |
|
|
for j = 0, height do |
|
|
for j = 0, height do |
|
|
map[vec2(i, -j - math.floor(i/2))] = true |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
-- calculate noise |
|
|
|
|
|
local idelta = assert(i / width, "width must be greater than 0") |
|
|
|
|
|
local jdelta = assert(j / height, "height must be greater than 0") |
|
|
|
|
|
local noise = 0 |
|
|
|
|
|
|
|
|
|
|
|
for _,freq in pairs(frequencies) do |
|
|
|
|
|
noise = noise + 1/freq * math.perlin(vec2(freq * idelta, |
|
|
|
|
|
freq * jdelta)) |
|
|
|
|
|
end |
|
|
|
|
|
|
|
|
|
|
|
-- this is what makes it a rectangle |
|
|
|
|
|
local hex = vec2(i, j - math.floor(i/2)) |
|
|
|
|
|
|
|
|
|
|
|
-- store hex in the map paired with its associated noise value |
|
|
|
|
|
map[hex] = noise |
|
|
end |
|
|
end |
|
|
end |
|
|
end |
|
|
return map |
|
|
return map |
|
|
end |
|
|
end |
|
|
|
|
|
|
|
|
|
|
|
--[[============================================================================ |
|
|
|
|
|
----- NOISE ----- |
|
|
|
|
|
============================================================================]]-- |
|
|
|
|
|
|
|
|
|
|
|
function simplex_map(frequency, exponent, width, height) |
|
|
|
|
|
local map = {} |
|
|
|
|
|
|
|
|
|
|
|
for i = 0, height do |
|
|
|
|
|
for j = 0, width do |
|
|
|
|
|
local idelta = i/width - 0.5 |
|
|
|
|
|
local jdelta = j/height - 0.5 |
|
|
|
|
|
map[vec2(i, j)] = math.simplex(idelta, jdelta) |
|
|
|
|
|
end |
|
|
|
|
|
end |
|
|
|
|
|
end |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
--[[============================================================================ |
|
|
--[[============================================================================ |
|
|
----- PATHFINDING ----- |
|
|
----- PATHFINDING ----- |
|
|
============================================================================]]-- |
|
|
============================================================================]]-- |
|
|