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https://github.com/sbrl/Minetest-WorldEditAdditions.git
synced 2024-12-24 22:52:24 +01:00
Vector3: add length, length_squared, sqrt
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38
.tests/Vector3/length.test.lua
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38
.tests/Vector3/length.test.lua
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@ -0,0 +1,38 @@
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local Vector3 = require("worldeditadditions.utils.vector3")
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local function format_map(map)
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local result = {}
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for key, value in pairs(map) do
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table.insert(result, key.."\t"..tostring(value))
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end
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return table.concat(result, "\n")
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end
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-- To find these numbers, in Javascript:
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-- function t(x) { return Math.sqrt((x*x)*3); }
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-- for(let i = 0; i < 1000000000; i++) { let r = t(i); if(Math.floor(r) === r) console.log(`i ${i}, r ${r}`); }
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describe("Vector3.length", function()
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it("should work with a positive vector", function()
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local a = Vector3.new(80198051, 80198051, 80198051)
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assert.are.equal(
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138907099,
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a:length()
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)
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end)
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it("should work with a negative vector", function()
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local a = Vector3.new(-189750626, -189750626, -189750626)
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assert.are.equal(
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328657725,
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a:length()
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)
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end)
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it("should work with a mixed vector", function()
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local a = Vector3.new(-371635731, 371635731, -371635731)
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assert.are.equal(
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643691968,
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a:length()
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)
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end)
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end)
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34
.tests/Vector3/length_squared.test.lua
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34
.tests/Vector3/length_squared.test.lua
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local Vector3 = require("worldeditadditions.utils.vector3")
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local function format_map(map)
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local result = {}
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for key, value in pairs(map) do
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table.insert(result, key.."\t"..tostring(value))
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end
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return table.concat(result, "\n")
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end
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describe("Vector3.length_squared", function()
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it("should work with a positive vector", function()
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local a = Vector3.new(3, 3, 3)
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assert.are.equal(
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27,
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a:length_squared()
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)
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end)
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it("should work with a negative vector", function()
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local a = Vector3.new(-4, -4, -4)
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assert.are.equal(
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48,
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a:length_squared()
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)
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end)
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it("should work with a mixed vector", function()
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local a = Vector3.new(-3, 3, -3)
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assert.are.equal(
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27,
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a:length_squared()
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)
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end)
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end)
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37
.tests/Vector3/sqrt.test.lua
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37
.tests/Vector3/sqrt.test.lua
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local Vector3 = require("worldeditadditions.utils.vector3")
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local function format_map(map)
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local result = {}
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for key, value in pairs(map) do
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table.insert(result, key.."\t"..tostring(value))
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end
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return table.concat(result, "\n")
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end
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describe("Vector3.sqrt", function()
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it("should sqrt a positive vector", function()
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local a = Vector3.new(16, 64, 16)
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assert.are.same(
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Vector3.new(4, 8, 4),
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a:sqrt()
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)
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end)
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it("should sqrt another positive vector", function()
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local a = Vector3.new(9, 16, 25)
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assert.are.same(
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Vector3.new(3, 4, 5),
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a:sqrt()
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)
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end)
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it("should return a new Vector3 instance", function()
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local a = Vector3.new(9, 16, 25)
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local result = a:sqrt()
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assert.are.same(
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Vector3.new(3, 4, 5),
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result
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)
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assert.are_not.equal(result, a)
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end)
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end)
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@ -134,6 +134,27 @@ function Vector3.area(a)
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return a.x * a.y * a.z
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return a.x * a.y * a.z
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end
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end
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--- Returns the scalar length of this vector squared.
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-- @param a Vector3 The vector to operate on.
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-- @returns number The length squared of this vector as a scalar value.
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function Vector3.length_squared(a)
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return a.x * a.x + a.y * a.y + a.z * a.z
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end
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--- Square roots each component of this vector.
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-- @param a Vector3 The vector to operate on.
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-- @returns number A new vector with each component square rooted.
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function Vector3.sqrt(a)
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return Vector3.new(math.sqrt(a.x), math.sqrt(a.y), math.sqrt(a.z))
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end
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--- Calculates the scalar length of this vector.
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-- @param a Vector3 The vector to operate on.
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-- @returns number The length of this vector as a scalar value.
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function Vector3.length(a)
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return math.sqrt(a:length_squared())
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end
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-- ██████ ██████ ███████ ██████ █████ ████████ ██████ ██████
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-- ██████ ██████ ███████ ██████ █████ ████████ ██████ ██████
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-- ██ ██ ██ ██ ██ ██ ██ ██ ██ ██ ██ ██ ██ ██
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-- ██ ██ ██ ██ ██ ██ ██ ██ ██ ██ ██ ██ ██ ██
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-- ██ ██ ██████ █████ ██████ ███████ ██ ██ ██ ██████
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-- ██ ██ ██████ █████ ██████ ███████ ██ ██ ██ ██████
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