mirror of
https://github.com/sys4-fr/server-nalc.git
synced 2024-11-09 20:10:18 +01:00
707 lines
15 KiB
Lua
Executable File
707 lines
15 KiB
Lua
Executable File
local load_time_start = os.clock()
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local funcs = {}
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function funcs.pos_to_string(pos)
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return "("..pos.x.."|"..pos.y.."|"..pos.z..")"
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end
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local r_corr = 0.25 --remove a bit more nodes (if shooting diagonal) to let it look like a hole (sth like antialiasing)
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-- this doesn't need to be calculated every time
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local f_1 = 0.5-r_corr
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local f_2 = 0.5+r_corr
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--returns information about the direction
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local function get_used_dir(dir)
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local abs_dir = {x=math.abs(dir.x), y=math.abs(dir.y), z=math.abs(dir.z)}
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local dir_max = math.max(abs_dir.x, abs_dir.y, abs_dir.z)
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if dir_max == abs_dir.x then
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local tab = {"x", {x=1, y=dir.y/dir.x, z=dir.z/dir.x}}
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if dir.x >= 0 then
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tab[3] = "+"
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end
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return tab
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end
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if dir_max == abs_dir.y then
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local tab = {"y", {x=dir.x/dir.y, y=1, z=dir.z/dir.y}}
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if dir.y >= 0 then
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tab[3] = "+"
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end
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return tab
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end
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local tab = {"z", {x=dir.x/dir.z, y=dir.y/dir.z, z=1}}
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if dir.z >= 0 then
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tab[3] = "+"
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end
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return tab
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end
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local function node_tab(z, d)
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local n1 = math.floor(z*d+f_1)
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local n2 = math.floor(z*d+f_2)
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if n1 == n2 then
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return {n1}
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end
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return {n1, n2}
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end
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local function return_line(pos, dir, range) --range ~= length
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local tab = {}
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local num = 1
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local t_dir = get_used_dir(dir)
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local dir_typ = t_dir[1]
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if t_dir[3] == "+" then
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f_tab = {0, range, 1}
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else
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f_tab = {0, -range, -1}
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end
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local d_ch = t_dir[2]
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if dir_typ == "x" then
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for d = f_tab[1],f_tab[2],f_tab[3] do
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local x = d
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local ytab = node_tab(d_ch.y, d)
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local ztab = node_tab(d_ch.z, d)
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for _,y in ipairs(ytab) do
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for _,z in ipairs(ztab) do
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tab[num] = {x=pos.x+x, y=pos.y+y, z=pos.z+z}
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num = num+1
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end
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end
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end
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elseif dir_typ == "y" then
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for d = f_tab[1],f_tab[2],f_tab[3] do
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local xtab = node_tab(d_ch.x, d)
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local y = d
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local ztab = node_tab(d_ch.z, d)
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for _,x in ipairs(xtab) do
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for _,z in ipairs(ztab) do
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tab[num] = {x=pos.x+x, y=pos.y+y, z=pos.z+z}
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num = num+1
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end
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end
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end
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else
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for d = f_tab[1],f_tab[2],f_tab[3] do
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local xtab = node_tab(d_ch.x, d)
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local ytab = node_tab(d_ch.y, d)
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local z = d
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for _,x in ipairs(xtab) do
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for _,y in ipairs(ytab) do
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tab[num] = {x=pos.x+x, y=pos.y+y, z=pos.z+z}
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num = num+1
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end
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end
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end
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end
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return tab
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end
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local function table_contains2(t, v)
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for i = #t, 1, -1 do
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if t[i] == v then
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return true
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end
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end
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return false
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end
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local function return_fine_line(pos, dir, range, scale)
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local ps1 = return_line(vector.round(vector.multiply(pos, scale)), dir, range*scale)
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local ps2 = {}
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local ps2_num = 1
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for _,p1 in ipairs(ps1) do
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local p2 = vector.round(vector.divide(p1, scale))
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if not table_contains2(ps2, p2) then
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ps2[ps2_num] = p2
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ps2_num = ps2_num+1
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end
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end
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return ps2
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end
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function funcs.fine_line(pos, dir, range, scale)
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--assert_vector(pos)
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if not range then --dir = pos2
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dir = vector.direction(pos, dir)
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range = vector.distance(pos, dir)
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end
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return return_fine_line(pos, dir, range, scale)
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end
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function funcs.line(pos, dir, range, alt)
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--assert_vector(pos)
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if alt then
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if not range then --dir = pos2
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dir, range = vector.direction(pos, dir), vector.distance(pos, dir)
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end
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return return_line(pos, dir, range)
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end
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if range then --dir = pos2
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dir = vector.round(vector.multiply(dir, range))
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else
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dir = vector.subtract(dir, pos)
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end
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local line,n = {},1
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for _,i in ipairs(vector.threeline(dir.x, dir.y, dir.z)) do
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line[n] = {x=pos.x+i[1], y=pos.y+i[2], z=pos.z+i[3]}
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n = n+1
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end
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return line
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end
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local twolines = {}
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function funcs.twoline(x, y)
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local pstr = x.." "..y
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local line = twolines[pstr]
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if line then
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return line
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end
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line = {}
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local n = 1
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local dirx = 1
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if x < 0 then
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dirx = -dirx
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end
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local ymin, ymax = 0, y
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if y < 0 then
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ymin, ymax = ymax, ymin
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end
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local m = y/x --y/0 works too
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local dir = 1
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if m < 0 then
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dir = -dir
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end
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for i = 0,x,dirx do
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local p1 = math.max(math.min(math.floor((i-0.5)*m+0.5), ymax), ymin)
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local p2 = math.max(math.min(math.floor((i+0.5)*m+0.5), ymax), ymin)
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for j = p1,p2,dir do
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line[n] = {i, j}
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n = n+1
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end
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end
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twolines[pstr] = line
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return line
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end
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local threelines = {}
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function funcs.threeline(x, y, z)
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local pstr = x.." "..y.." "..z
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local line = threelines[pstr]
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if line then
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return line
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end
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if x ~= math.floor(x) then
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minetest.log("error", "[vector_extras] INFO: The position used for vector.threeline isn't round.")
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end
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local two_line = vector.twoline(x, y)
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line = {}
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local n = 1
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local zmin, zmax = 0, z
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if z < 0 then
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zmin, zmax = zmax, zmin
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end
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local m = z/math.hypot(x, y)
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local dir = 1
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if m < 0 then
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dir = -dir
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end
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for _,i in ipairs(two_line) do
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local px, py = unpack(i)
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local ph = math.hypot(px, py)
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local z1 = math.max(math.min(math.floor((ph-0.5)*m+0.5), zmax), zmin)
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local z2 = math.max(math.min(math.floor((ph+0.5)*m+0.5), zmax), zmin)
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for pz = z1,z2,dir do
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line[n] = {px, py, pz}
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n = n+1
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end
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end
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threelines[pstr] = line
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return line
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end
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function funcs.sort(ps, preferred_coords)
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preferred_coords = preferred_coords or {"z", "y", "x"}
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local a,b,c = unpack(preferred_coords)
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local function ps_sorting(p1, p2)
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if p1[a] == p2[a] then
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if p1[b] == p2[a] then
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if p1[c] < p2[c] then
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return true
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end
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elseif p1[b] < p2[b] then
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return true
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end
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elseif p1[a] < p2[a] then
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return true
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end
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end
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table.sort(ps, ps_sorting)
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end
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function funcs.scalar(v1, v2)
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return v1.x*v2.x + v1.y*v2.y + v1.z*v2.z
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end
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function funcs.cross(v1, v2)
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return {
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x = v1.y*v2.z - v1.z*v2.y,
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y = v1.z*v2.x - v1.x*v2.z,
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z = v1.x*v2.y - v1.y*v2.x
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}
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end
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--not optimized
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--local areas = {}
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function funcs.plane(ps)
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-- sort positions and imagine the first one (A) as vector.zero
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ps = vector.sort(ps)
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local pos = ps[1]
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local B = vector.subtract(ps[2], pos)
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local C = vector.subtract(ps[3], pos)
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-- get the positions for the fors
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local cube_p1 = {x=0, y=0, z=0}
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local cube_p2 = {x=0, y=0, z=0}
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for i in pairs(cube_p1) do
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cube_p1[i] = math.min(B[i], C[i], 0)
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cube_p2[i] = math.max(B[i], C[i], 0)
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end
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cube_p1 = vector.apply(cube_p1, math.floor)
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cube_p2 = vector.apply(cube_p2, math.ceil)
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local vn = vector.normalize(vector.cross(B, C))
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local nAB = vector.normalize(B)
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local nAC = vector.normalize(C)
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local angle_BAC = math.acos(vector.scalar(nAB, nAC))
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local nBA = vector.multiply(nAB, -1)
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local nBC = vector.normalize(vector.subtract(C, B))
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local angle_ABC = math.acos(vector.scalar(nBA, nBC))
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for z = cube_p1.z, cube_p2.z do
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for y = cube_p1.y, cube_p2.y do
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for x = cube_p1.x, cube_p2.x do
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local p = {x=x, y=y, z=z}
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local n = -vector.scalar(p, vn)/vector.scalar(vn, vn)
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if math.abs(n) <= 0.5 then
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local ep = vector.add(p, vector.multiply(vn, n))
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local nep = vector.normalize(ep)
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local angle_BAep = math.acos(vector.scalar(nAB, nep))
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local angle_CAep = math.acos(vector.scalar(nAC, nep))
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local angldif = angle_BAC - (angle_BAep+angle_CAep)
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if math.abs(angldif) < 0.001 then
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ep = vector.subtract(ep, B)
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nep = vector.normalize(ep)
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local angle_ABep = math.acos(vector.scalar(nBA, nep))
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local angle_CBep = math.acos(vector.scalar(nBC, nep))
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local angldif = angle_ABC - (angle_ABep+angle_CBep)
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if math.abs(angldif) < 0.001 then
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table.insert(ps, vector.add(pos, p))
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end
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end
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end
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end
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end
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end
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return ps
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end
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function funcs.straightdelay(s, v, a)
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if not a then
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return s/v
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end
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return (math.sqrt(v*v+2*a*s)-v)/a
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end
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vector.zero = vector.new()
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function funcs.sun_dir(time)
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if not time then
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time = minetest.get_timeofday()
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end
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local t = (time-0.5)*5/6+0.5 --the sun rises at 5 o'clock, not at 6
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if t < 0.25
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or t > 0.75 then
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return
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end
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local tmp = math.cos(math.pi*(2*t-0.5))
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return {x=tmp, y=math.sqrt(1-tmp*tmp), z=0}
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end
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function funcs.inside(pos, minp, maxp)
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for _,i in pairs({"x", "y", "z"}) do
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if pos[i] < minp[i]
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or pos[i] > maxp[i] then
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return false
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end
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end
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return true
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end
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function funcs.minmax(p1, p2)
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local p1 = vector.new(p1)
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local p2 = vector.new(p2)
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for _,i in ipairs({"x", "y", "z"}) do
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if p1[i] > p2[i] then
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p1[i], p2[i] = p2[i], p1[i]
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end
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end
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return p1, p2
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end
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function funcs.move(p1, p2, s)
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return vector.round(
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vector.add(
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vector.multiply(
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vector.direction(
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p1,
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p2
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),
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s
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),
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p1
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)
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)
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end
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function funcs.from_number(i)
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return {x=i, y=i, z=i}
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end
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local explosion_tables = {}
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function funcs.explosion_table(r)
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local table = explosion_tables[r]
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if table then
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return table
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end
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local t1 = os.clock()
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local tab, n = {}, 1
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local tmp = r*r + r
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for x=-r,r do
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for y=-r,r do
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for z=-r,r do
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local rc = x*x+y*y+z*z
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if rc <= tmp then
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local np={x=x, y=y, z=z}
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if math.floor(math.sqrt(rc) +0.5) > r-1 then
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tab[n] = {np, true}
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else
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tab[n] = {np}
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end
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n = n+1
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end
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end
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end
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end
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explosion_tables[r] = tab
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minetest.log("info", string.format("[vector_extras] table created after ca. %.2fs", os.clock() - t1))
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return tab
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end
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local default_nparams = {
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offset = 0,
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scale = 1,
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seed = 1337,
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octaves = 6,
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persist = 0.6
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}
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function funcs.explosion_perlin(rmin, rmax, nparams)
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local t1 = os.clock()
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local r = math.ceil(rmax)
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nparams = nparams or {}
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for i,v in pairs(default_nparams) do
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nparams[i] = nparams[i] or v
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end
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nparams.spread = nparams.spread or vector.from_number(r*5)
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local pos = {x=math.random(-30000, 30000), y=math.random(-30000, 30000), z=math.random(-30000, 30000)}
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local map = minetest.get_perlin_map(nparams, vector.from_number(r+r+1)):get3dMap_flat(pos)
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local id = 1
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local bare_maxdist = rmax*rmax
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local bare_mindist = rmin*rmin
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local mindist = math.sqrt(bare_mindist)
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local dist_diff = math.sqrt(bare_maxdist)-mindist
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mindist = mindist/dist_diff
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local pval_min, pval_max
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local tab, n = {}, 1
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for z=-r,r do
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local bare_dist = z*z
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for y=-r,r do
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local bare_dist = bare_dist+y*y
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for x=-r,r do
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local bare_dist = bare_dist+x*x
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local add = bare_dist < bare_mindist
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local pval, distdiv
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if not add
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and bare_dist <= bare_maxdist then
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distdiv = math.sqrt(bare_dist)/dist_diff-mindist
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pval = math.abs(map[id]) -- strange perlin values…
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if not pval_min then
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pval_min = pval
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pval_max = pval
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else
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pval_min = math.min(pval, pval_min)
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pval_max = math.max(pval, pval_max)
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end
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add = true--distdiv < 1-math.abs(map[id])
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end
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if add then
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tab[n] = {{x=x, y=y, z=z}, pval, distdiv}
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n = n+1
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end
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id = id+1
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end
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end
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end
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-- change strange values
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local pval_diff = pval_max - pval_min
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pval_min = pval_min/pval_diff
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for n,i in pairs(tab) do
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if i[2] then
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local new_pval = math.abs(i[2]/pval_diff - pval_min)
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if i[3]+0.33 < new_pval then
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tab[n] = {i[1]}
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elseif i[3] < new_pval then
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tab[n] = {i[1], true}
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else
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tab[n] = nil
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end
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end
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end
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minetest.log("info", string.format("[vector_extras] table created after ca. %.2fs", os.clock() - t1))
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return tab
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end
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local circle_tables = {}
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function funcs.circle(r)
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local table = circle_tables[r]
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if table then
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return table
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end
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local t1 = os.clock()
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local tab, n = {}, 1
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for i = -r, r do
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for j = -r, r do
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if math.floor(math.sqrt(i*i+j*j)+0.5) == r then
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tab[n] = {x=i, y=0, z=j}
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n = n+1
|
|
end
|
|
end
|
|
end
|
|
circle_tables[r] = tab
|
|
minetest.log("info", string.format("[vector_extras] table created after ca. %.2fs", os.clock() - t1))
|
|
return tab
|
|
end
|
|
|
|
local ring_tables = {}
|
|
function funcs.ring(r)
|
|
local table = ring_tables[r]
|
|
if table then
|
|
return table
|
|
end
|
|
|
|
local t1 = os.clock()
|
|
local tab, n = {}, 1
|
|
|
|
local tmp = r*r
|
|
local p = {x=math.floor(r+0.5), z=0}
|
|
while p.x > 0 do
|
|
tab[n] = p
|
|
n = n+1
|
|
local p1, p2 = {x=p.x-1, z=p.z}, {x=p.x, z=p.z+1}
|
|
local dif1 = math.abs(tmp-p1.x*p1.x-p1.z*p1.z)
|
|
local dif2 = math.abs(tmp-p2.x*p2.x-p2.z*p2.z)
|
|
if dif1 <= dif2 then
|
|
p = p1
|
|
else
|
|
p = p2
|
|
end
|
|
end
|
|
|
|
local tab2, n = {}, 1
|
|
for _,i in ipairs(tab) do
|
|
for _,j in ipairs({
|
|
{i.x, i.z},
|
|
{-i.z, i.x},
|
|
{-i.x, -i.z},
|
|
{i.z, -i.x},
|
|
}) do
|
|
tab2[n] = {x=j[1], y=0, z=j[2]}
|
|
n = n+1
|
|
end
|
|
end
|
|
ring_tables[r] = tab2
|
|
minetest.log("info", string.format("[vector_extras] table created after ca. %.2fs", os.clock() - t1))
|
|
return tab2
|
|
end
|
|
|
|
function funcs.chunkcorner(pos)
|
|
return {x=pos.x-pos.x%16, y=pos.y-pos.y%16, z=pos.z-pos.z%16}
|
|
end
|
|
|
|
function funcs.point_distance_minmax(p1, p2)
|
|
local p1 = vector.new(p1)
|
|
local p2 = vector.new(p2)
|
|
local min, max, vmin, vmax, num
|
|
for _,i in ipairs({"x", "y", "z"}) do
|
|
num = math.abs(p1[i] - p2[i])
|
|
if not vmin or num < vmin then
|
|
vmin = num
|
|
min = i
|
|
end
|
|
if not vmax or num > vmax then
|
|
vmax = num
|
|
max = i
|
|
end
|
|
end
|
|
return min, max
|
|
end
|
|
|
|
function funcs.collision(p1, p2)
|
|
local clear, node_pos, collision_pos, max, min, dmax, dcmax, pt
|
|
clear, node_pos = minetest.line_of_sight(p1, p2)
|
|
if clear then
|
|
return false
|
|
end
|
|
collision_pos = {}
|
|
min, max = funcs.point_distance_minmax(node_pos, p2)
|
|
if node_pos[max] > p2[max] then
|
|
collision_pos[max] = node_pos[max] - 0.5
|
|
else
|
|
collision_pos[max] = node_pos[max] + 0.5
|
|
end
|
|
dmax = p2[max] - node_pos[max]
|
|
dcmax = p2[max] - collision_pos[max]
|
|
pt = dcmax/dmax
|
|
|
|
for _,i in ipairs({"x", "y", "z"}) do
|
|
collision_pos[i] = p2[i] - (p2[i] - node_pos[i]) * pt
|
|
end
|
|
return true, collision_pos, node_pos
|
|
end
|
|
|
|
function funcs.get_data_from_pos(tab, z,y,x)
|
|
local data = tab[z]
|
|
if data then
|
|
data = data[y]
|
|
if data then
|
|
return data[x]
|
|
end
|
|
end
|
|
end
|
|
|
|
function funcs.set_data_to_pos(tab, z,y,x, data)
|
|
if tab[z] then
|
|
if tab[z][y] then
|
|
tab[z][y][x] = data
|
|
return
|
|
end
|
|
tab[z][y] = {[x] = data}
|
|
return
|
|
end
|
|
tab[z] = {[y] = {[x] = data}}
|
|
end
|
|
|
|
function funcs.set_data_to_pos_optional(tab, z,y,x, data)
|
|
if vector.get_data_from_pos(tab, z,y,x) ~= nil then
|
|
return
|
|
end
|
|
funcs.set_data_to_pos(tab, z,y,x, data)
|
|
end
|
|
|
|
function funcs.remove_data_from_pos(tab, z,y,x)
|
|
if vector.get_data_from_pos(tab, z,y,x) == nil then
|
|
return
|
|
end
|
|
tab[z][y][x] = nil
|
|
if not next(tab[z][y]) then
|
|
tab[z][y] = nil
|
|
end
|
|
if not next(tab[z]) then
|
|
tab[z] = nil
|
|
end
|
|
end
|
|
|
|
function funcs.get_data_pos_table(tab)
|
|
local t,n = {},1
|
|
local minz, miny, minx, maxz, maxy, maxx
|
|
for z,yxs in pairs(tab) do
|
|
if not minz then
|
|
minz = z
|
|
maxz = z
|
|
else
|
|
minz = math.min(minz, z)
|
|
maxz = math.max(maxz, z)
|
|
end
|
|
for y,xs in pairs(yxs) do
|
|
if not miny then
|
|
miny = y
|
|
maxy = y
|
|
else
|
|
miny = math.min(miny, y)
|
|
maxy = math.max(maxy, y)
|
|
end
|
|
for x,v in pairs(xs) do
|
|
if not minx then
|
|
minx = x
|
|
maxx = x
|
|
else
|
|
minx = math.min(minx, x)
|
|
maxx = math.max(maxx, x)
|
|
end
|
|
t[n] = {z,y,x, v}
|
|
n = n+1
|
|
end
|
|
end
|
|
end
|
|
return t, {x=minx, y=miny, z=minz}, {x=maxx, y=maxy, z=maxz}, n-1
|
|
end
|
|
|
|
function funcs.update_minp_maxp(minp, maxp, pos)
|
|
for _,i in pairs({"z", "y", "x"}) do
|
|
minp[i] = math.min(minp[i], pos[i])
|
|
maxp[i] = math.max(maxp[i], pos[i])
|
|
end
|
|
end
|
|
|
|
function funcs.quickadd(pos, z,y,x)
|
|
if z then
|
|
pos.z = pos.z+z
|
|
end
|
|
if y then
|
|
pos.y = pos.y+y
|
|
end
|
|
if x then
|
|
pos.x = pos.x+x
|
|
end
|
|
end
|
|
|
|
function funcs.unpack(pos)
|
|
return pos.z, pos.y, pos.x
|
|
end
|
|
|
|
|
|
dofile(minetest.get_modpath("vector_extras").."/vector_meta.lua")
|
|
|
|
for name,func in pairs(funcs) do
|
|
vector[name] = vector[name] or func
|
|
end
|
|
|
|
minetest.log("info", string.format("[vector_extras] loaded after ca. %.2fs", os.clock() - load_time_start))
|