removed some math.sqrt

map_gen/misc/loot_items.lua

@@ -82,9 +82,9 @@ return function(x, y)
         return nil
     end
 
-    local d = math.sqrt(x * x + y * y)
+    local d_sq = x * x + y * y
     local name
-    if d < 200 then
+    if d_sq < 40000 then
         name = 'car'
     else
         if math.random(10) == 1 then

map_gen/ores/neko_crazy_ores.lua

@@ -17,8 +17,8 @@ end
 Event.on_init(run_ores_module_setup)
 
 return function(x, y, world)
-    local d = math.sqrt(world.x * world.x + world.y * world.y)
-    if d < 96 then
+    local d_sq = world.x * world.x + world.y * world.y
+    if d_sq < 9216 then
         return
     end
 

map_gen/ores/resource_clustertruck.lua

@@ -9,6 +9,7 @@ end
 Event.on_init(init)
 
 local radius = 10
+local radius_sq = radius * radius
 
 return function(x, y, world)
 	local entities = world.surface.find_entities_filtered {position = {world.x + 0.5, world.y + 0.5}, type = "resource"}
@@ -38,9 +39,9 @@ return function(x, y, world)
 
 	local x = world.x - world.top_x - 16
 	local y = world.y - world.top_y - 16
-	local d = math.sqrt(x * x + y * y)
+	local d_sq = x * x + y * y
 
-	if d < radius then
+	if d_sq < radius_sq then
 		local ore_spawn = world.ore_spawn
 		local resource_amount = world.resource_amount
 
@@ -49,9 +50,9 @@ return function(x, y, world)
 			amount = world.oil_amount
 		else
 			amount = resource_amount
-			if d < radius / 2 then
+			if d_sq < radius_sq / 4 then
 				amount = resource_amount * 1.5
-			elseif d < radius / 3 then
+			elseif d_sq < radius_sq / 9 then
 				amount = resource_amount * 2
 			end
 		end

map_gen/ores/tiny_ores.lua

@@ -20,8 +20,8 @@ Global.register_init(
 
 local function value(base, mult, pow)
     return function(x, y)
-        local d = math.sqrt(x * x + y * y)
-        return base + mult * d ^ pow
+        local d_sq = x * x + y * y
+        return base + mult * d ^ (pow / 2)
     end
 end
 

map_gen/presets/crash_site.lua

@@ -392,12 +392,12 @@ local function init()
 
     local function enemy(x, y, world)
         local wx, wy = world.x, world.y
-        local d = math.sqrt(wx * wx + wy * wy)
+        local d_sq = wx * wx + wy * wy
 
         --[[ if Perlin.noise(x * scale_factor, y * scale_factor, enemy_seed) < 0 then
         return nil
     end ]]
-        local spawner_chance = d - 128
+        local spawner_chance = d_sq - 16384 --d - 128
 
         if spawner_chance > 0 then
             spawner_chance = spawner_chance * spawner_chance_factor
@@ -408,26 +408,26 @@ local function init()
             end
         end
 
-        local worm_chance = d - 128
+        local worm_chance = d_sq - 16384 --d - 128
 
         if worm_chance > 0 then
             worm_chance = worm_chance * worm_chance_factor
             worm_chance = math.min(worm_chance, max_worm_chance)
 
             if math.random() < worm_chance then
-                if d < 256 then
+                if d_sq < 65536 then --d < 256
                     return {name = 'small-worm-turret'}
                 else
                     local max_lvl
                     local min_lvl
-                    if d < 512 then
+                    if d_sq < 262144 then --d < 512
                         max_lvl = 2
                         min_lvl = 1
                     else
                         max_lvl = 3
                         min_lvl = 2
                     end
-                    local lvl = math.random() ^ (384 / d) * max_lvl
+                    local lvl = math.random() ^ (147456 / d_sq) * max_lvl --384 / d
                     lvl = math.ceil(lvl)
                     --local lvl = math.floor(d / 256) + 1
                     lvl = math.clamp(lvl, min_lvl, 3)
@@ -442,8 +442,8 @@ local function init()
     local ores_patch = b.circle(16)
     local function value(base, mult, pow)
         return function(x, y)
-            local d = math.sqrt(x * x + y * y)
-            return base + mult * d ^ pow
+            local d_sq = x * x + y * y
+            return base + mult * d_sq ^ (pow / 2) -- d^pow
         end
     end
 

map_gen/presets/fruit_loops.lua

@@ -11,8 +11,8 @@ local seed2 = seed1 * 2
 
 local function value(base, mult, pow)
     return function(x, y)
-        local d = math.sqrt(x * x + y * y)
-        return base + mult * d ^ pow
+        local d_sq = x * x + y * y
+        return base + mult * d_sq ^ (pow / 2) -- d ^ pow
     end
 end
 

map_gen/presets/grid_islands.lua

@@ -46,8 +46,8 @@ local ore_spider = b.scale(spider, 0.125, 0.125)
 
 local function value(base, mult, pow)
     return function(x, y)
-        local d = math.sqrt(x * x + y * y)
-        return base + mult * d ^ pow
+        local d_sq = x * x + y * y
+        return base + mult * d_sq ^ ( pow / 2 ) -- d ^ pow
     end
 end
 

map_gen/presets/line_and_tree.lua

@@ -18,8 +18,8 @@ local ball_shape = b.any {ball, line1, line2}
 
 local function value(base, mult, pow)
     return function(x, y)
-        local d = math.sqrt(x * x + y * y)
-        return base + mult * d ^ pow
+        local d_sq = x * x + y * y
+        return base + mult * d_sq ^ ( pow / 2 ) -- d ^ pow
     end
 end
 local ore_shape = b.circle(5)

map_gen/presets/lines_and_balls.lua

@@ -1,5 +1,6 @@
 local b = require 'map_gen.shared.builders'
 local Random = require 'map_gen.shared.random'
+local math = require "utils.math"
 
 local seed1 = 17000
 local seed2 = seed1 * 2
@@ -97,8 +98,6 @@ end
 
 local map_ores = do_resources()
 
-local root2 = math.sqrt(2)
-
 local big_circle = b.circle(150)
 local small_circle = b.circle(140)
 local crop = b.rectangle(300, 150)
@@ -121,8 +120,9 @@ local function h_arc()
     return b.any {arc, ball1, ball2, ball3, arm1, arm2, arm3}
 end
 
+local div_100_sqrt2 = 100 / math.sqrt2
 local function v_arc()
-    local circle = b.circle(100 / root2)
+    local circle = b.circle(div_100_sqrt2)
     circle = b.apply_entity(circle, map_ores)
     local ball1 = b.translate(circle, -0, 385)
     local ball2 = b.translate(circle, -460, 345)
@@ -140,7 +140,7 @@ arc1 = b.single_pattern(arc1, 1380, 1380)
 local arc2 = v_arc()
 arc2 = b.single_pattern(arc2, 1380, 1380)
 arc2 = b.rotate(arc2, degrees(45))
-arc2 = b.scale(arc2, root2, root2)
+arc2 = b.scale(arc2, math.sqrt2, math.sqrt2)
 arc2 = b.translate(arc2, -165, -688)
 
 local map = b.any {arc1, arc2}

map_gen/presets/mobius_strip.lua

@@ -65,7 +65,7 @@ local function effect(x, y, world, tile)
     end
 
     --[[
-    
+
     if max_axis_distance(world_x, world_y, -2144, 0) < safe_distance then
     for _, e in ipairs(surface.find_entities_filtered({ force = "enemy", position = { world_x, world_y } } )) do
     e.destroy()
@@ -75,12 +75,12 @@ local function effect(x, y, world, tile)
     e.destroy()
     end
     end
-    
+
     for _, e in ipairs(surface.find_entities_filtered({ type = "resource", area = {{world_x, world_y  }, {world_x + 1, world_y + 1 } } })) do -- I want to use position but for some reason it doesn't seem to work for ores.
     local dist1 = distance(world_x, world_y, -2144, 0)
     local dist2 = distance(world_x, world_y, 2144, 0)
     local amount = math.min(dist1, dist2)
-    
+
     local name = e.name
     if name == "iron-ore" then
     amount = 800 + 0.4 * amount
@@ -95,10 +95,10 @@ local function effect(x, y, world, tile)
     elseif name == "crude-oil" then
     amount = 50000 + 50 * amount
     end
-    
+
     e.amount = amount
     end
-    
+
     --]]
     return tile
 end

map_gen/presets/spiral_of_spirals.lua

@@ -16,8 +16,8 @@ map = b.scale(map, 64)
 
 local function value(base, mult, pow)
     return function(x, y)
-        local d = math.sqrt(x * x + y * y)
-        return base + mult * d ^ pow
+        local d_sq = x * x + y * y
+        return base + mult * d_sq ^ (pow / 2) --d ^ pow
     end
 end
 

map_gen/presets/triangle_of_death.lua

@@ -277,9 +277,9 @@ local function loot(x, y)
         return nil
     end
 
-    local d = math.sqrt(x * x + y * y)
+    local d_sq = x * x + y * y
     local name
-    if d < 600 then
+    if d_sq < 360000 then --d < 600
         name = 'car'
     else
         if math.random(5) == 1 then

map_gen/presets/void_gears.lua

@@ -63,24 +63,26 @@ local function sprinkle(shape)
     end
 end
 
+
 local function radial(shape, radius)
-    local stone_r = radius * 0.55
-    local coal_r = radius * 0.65
-    local copper_r = radius * 0.8
+    local radius_sq = radius * radius
+    local stone_r_sq = radius * 0.3025 -- radius * 0.55
+    local coal_r_sq = radius * 0.4225 -- radius * 0.65
+    local copper_r_sq = radius * 0.64 -- radius * 0.8
 
     return function(x, y, world)
         if not shape(x, y) then
             return nil
         end
 
-        local d = math.sqrt(x * x + y * y)
+        local d_sq = x * x + y * y
 
         local ore
-        if d < stone_r then
+        if d_sq < stone_r_sq then
             ore = ores[4]
-        elseif d < coal_r then
+        elseif d_sq < coal_r_sq then
             ore = ores[3]
-        elseif d < copper_r then
+        elseif d_sq < copper_r_sq then
             ore = ores[2]
         else
             ore = ores[1]

map_gen/shape/spiral.lua

@@ -4,8 +4,8 @@ local inv_pi = 1 / math.pi
 local thickness2 = thickness * 2
 
 return function(x, y)
-    local d = math.sqrt(x * x + y * y)
-    if d < 128 then
+    local d_sq = x * x + y * y
+    if d_sq < 16384 then --d < 128
         return true
     end
 

map_gen/shared/builders.lua

@@ -1435,8 +1435,8 @@ end
 
 function Builders.exponential_value(base, mult, pow)
     return function(x, y)
-        local d = math.sqrt(x * x + y * y)
-        return base + mult * d ^ pow
+        local d_sq = x * x + y * y
+        return base + mult * d_sq ^ (pow / 2)
     end
 end
 

map_gen/shared/simplex_noise.lua

@@ -38,16 +38,16 @@ local function dot(g, ...)
 	return sum
 end
 
+local F2 = 0.5*(math.sqrt(3.0)-1.0)
+local G2 = (3.0-math.sqrt(3.0))/6.0
 function Simplex.d2(xin, yin,seed)
 	xin = xin + seed
 	yin = yin + seed
 	local n0, n1, n2	-- Noise contributions from the three corners
 	-- Skew the input space to determine which simplex cell we're in
-	local F2 = 0.5*(math.sqrt(3.0)-1.0)
 	local s = (xin+yin)*F2; -- Hairy factor for 2D
 	local i = math.floor(xin+s)
 	local j = math.floor(yin+s)
-	local G2 = (3.0-math.sqrt(3.0))/6.0
 	local t = (i+j)*G2
 	local X0 = i-t -- Unskew the cell origin back to (x,y) space
 	local Y0 = j-t
@@ -103,4 +103,4 @@ function Simplex.d2(xin, yin,seed)
 	return 70.0 * (n0 + n1 + n2)
 end
 
-return Simplex
+return Simplex

map_gen/terrain/mines.lua

@@ -3,8 +3,7 @@ local Game = require 'utils.game'
 
 local mines_factor = 1
 
---Do not change this:
-mines_factor = 16384 / mines_factor
+mines_factor_sq = 16384 * 16384 / mines_factor / mines_factor
 
 local death_messages = {
     "went exploring, and didn't bring a minesweeping kit.",
@@ -47,13 +46,13 @@ end
 Event.add(defines.events.on_player_died, player_died)
 
 return function(x, y)
-    local distance = math.sqrt(x * x + y * y)
+    local distance_sq = x * x + y * y
 
-    if distance <= 210 then
+    if distance_sq <= 44100 then
         return nil
     end
 
-    local chance = math.floor(mines_factor / distance) + 1
+    local chance = math.floor(mines_factor_sq / distance_sq) + 1
 
     if math.random(chance) == 1 then
         return {name = 'land-mine', force = 'enemy'}