mirror of
https://github.com/minetest/minetest.git
synced 2024-11-30 19:43:45 +01:00
2332527765
Writing vectors as strings is very common and should belong to `vector.*`. `minetest.pos_to_string` is also too long to write, implies that one should only use it for positions and leaves no spaces after the commas.
212 lines
9.1 KiB
Lua
212 lines
9.1 KiB
Lua
_G.vector = {}
|
|
dofile("builtin/common/vector.lua")
|
|
|
|
describe("vector", function()
|
|
describe("new()", function()
|
|
it("constructs", function()
|
|
assert.same({ x = 0, y = 0, z = 0 }, vector.new())
|
|
assert.same({ x = 1, y = 2, z = 3 }, vector.new(1, 2, 3))
|
|
assert.same({ x = 3, y = 2, z = 1 }, vector.new({ x = 3, y = 2, z = 1 }))
|
|
|
|
local input = vector.new({ x = 3, y = 2, z = 1 })
|
|
local output = vector.new(input)
|
|
assert.same(input, output)
|
|
assert.are_not.equal(input, output)
|
|
end)
|
|
|
|
it("throws on invalid input", function()
|
|
assert.has.errors(function()
|
|
vector.new({ x = 3 })
|
|
end)
|
|
|
|
assert.has.errors(function()
|
|
vector.new({ d = 3 })
|
|
end)
|
|
end)
|
|
end)
|
|
|
|
it("equal()", function()
|
|
local function assertE(a, b)
|
|
assert.is_true(vector.equals(a, b))
|
|
end
|
|
local function assertNE(a, b)
|
|
assert.is_false(vector.equals(a, b))
|
|
end
|
|
|
|
assertE({x = 0, y = 0, z = 0}, {x = 0, y = 0, z = 0})
|
|
assertE({x = -1, y = 0, z = 1}, {x = -1, y = 0, z = 1})
|
|
local a = { x = 2, y = 4, z = -10 }
|
|
assertE(a, a)
|
|
assertNE({x = -1, y = 0, z = 1}, a)
|
|
end)
|
|
|
|
it("add()", function()
|
|
assert.same({ x = 2, y = 4, z = 6 }, vector.add(vector.new(1, 2, 3), { x = 1, y = 2, z = 3 }))
|
|
end)
|
|
|
|
it("offset()", function()
|
|
assert.same({ x = 41, y = 52, z = 63 }, vector.offset(vector.new(1, 2, 3), 40, 50, 60))
|
|
end)
|
|
|
|
it("to_string()", function()
|
|
local v = vector.new(1, 2, 3.14)
|
|
assert.same("(1, 2, 3.14)", vector.to_string(v))
|
|
end)
|
|
|
|
it("from_string()", function()
|
|
local v = vector.new(1, 2, 3.14)
|
|
assert.same({v, 13}, {vector.from_string("(1, 2, 3.14)")})
|
|
assert.same({v, 12}, {vector.from_string("(1,2 ,3.14)")})
|
|
assert.same({v, 12}, {vector.from_string("(1,2,3.14,)")})
|
|
assert.same({v, 11}, {vector.from_string("(1 2 3.14)")})
|
|
assert.same({v, 15}, {vector.from_string("( 1, 2, 3.14 )")})
|
|
assert.same({v, 15}, {vector.from_string(" ( 1, 2, 3.14) ")})
|
|
assert.same({vector.new(), 8}, {vector.from_string("(0,0,0) ( 1, 2, 3.14) ")})
|
|
assert.same({v, 22}, {vector.from_string("(0,0,0) ( 1, 2, 3.14) ", 8)})
|
|
assert.same({v, 22}, {vector.from_string("(0,0,0) ( 1, 2, 3.14) ", 9)})
|
|
assert.same(nil, vector.from_string("nothing"))
|
|
end)
|
|
|
|
-- This function is needed because of floating point imprecision.
|
|
local function almost_equal(a, b)
|
|
if type(a) == "number" then
|
|
return math.abs(a - b) < 0.00000000001
|
|
end
|
|
return vector.distance(a, b) < 0.000000000001
|
|
end
|
|
|
|
describe("rotate_around_axis()", function()
|
|
it("rotates", function()
|
|
assert.True(almost_equal({x = -1, y = 0, z = 0},
|
|
vector.rotate_around_axis({x = 1, y = 0, z = 0}, {x = 0, y = 1, z = 0}, math.pi)))
|
|
assert.True(almost_equal({x = 0, y = 1, z = 0},
|
|
vector.rotate_around_axis({x = 0, y = 0, z = 1}, {x = 1, y = 0, z = 0}, math.pi / 2)))
|
|
assert.True(almost_equal({x = 4, y = 1, z = 1},
|
|
vector.rotate_around_axis({x = 4, y = 1, z = 1}, {x = 4, y = 1, z = 1}, math.pi / 6)))
|
|
end)
|
|
it("keeps distance to axis", function()
|
|
local rotate1 = {x = 1, y = 3, z = 1}
|
|
local axis1 = {x = 1, y = 3, z = 2}
|
|
local rotated1 = vector.rotate_around_axis(rotate1, axis1, math.pi / 13)
|
|
assert.True(almost_equal(vector.distance(axis1, rotate1), vector.distance(axis1, rotated1)))
|
|
local rotate2 = {x = 1, y = 1, z = 3}
|
|
local axis2 = {x = 2, y = 6, z = 100}
|
|
local rotated2 = vector.rotate_around_axis(rotate2, axis2, math.pi / 23)
|
|
assert.True(almost_equal(vector.distance(axis2, rotate2), vector.distance(axis2, rotated2)))
|
|
local rotate3 = {x = 1, y = -1, z = 3}
|
|
local axis3 = {x = 2, y = 6, z = 100}
|
|
local rotated3 = vector.rotate_around_axis(rotate3, axis3, math.pi / 2)
|
|
assert.True(almost_equal(vector.distance(axis3, rotate3), vector.distance(axis3, rotated3)))
|
|
end)
|
|
it("rotates back", function()
|
|
local rotate1 = {x = 1, y = 3, z = 1}
|
|
local axis1 = {x = 1, y = 3, z = 2}
|
|
local rotated1 = vector.rotate_around_axis(rotate1, axis1, math.pi / 13)
|
|
rotated1 = vector.rotate_around_axis(rotated1, axis1, -math.pi / 13)
|
|
assert.True(almost_equal(rotate1, rotated1))
|
|
local rotate2 = {x = 1, y = 1, z = 3}
|
|
local axis2 = {x = 2, y = 6, z = 100}
|
|
local rotated2 = vector.rotate_around_axis(rotate2, axis2, math.pi / 23)
|
|
rotated2 = vector.rotate_around_axis(rotated2, axis2, -math.pi / 23)
|
|
assert.True(almost_equal(rotate2, rotated2))
|
|
local rotate3 = {x = 1, y = -1, z = 3}
|
|
local axis3 = {x = 2, y = 6, z = 100}
|
|
local rotated3 = vector.rotate_around_axis(rotate3, axis3, math.pi / 2)
|
|
rotated3 = vector.rotate_around_axis(rotated3, axis3, -math.pi / 2)
|
|
assert.True(almost_equal(rotate3, rotated3))
|
|
end)
|
|
it("is right handed", function()
|
|
local v_before1 = {x = 0, y = 1, z = -1}
|
|
local v_after1 = vector.rotate_around_axis(v_before1, {x = 1, y = 0, z = 0}, math.pi / 4)
|
|
assert.True(almost_equal(vector.normalize(vector.cross(v_after1, v_before1)), {x = 1, y = 0, z = 0}))
|
|
|
|
local v_before2 = {x = 0, y = 3, z = 4}
|
|
local v_after2 = vector.rotate_around_axis(v_before2, {x = 1, y = 0, z = 0}, 2 * math.pi / 5)
|
|
assert.True(almost_equal(vector.normalize(vector.cross(v_after2, v_before2)), {x = 1, y = 0, z = 0}))
|
|
|
|
local v_before3 = {x = 1, y = 0, z = -1}
|
|
local v_after3 = vector.rotate_around_axis(v_before3, {x = 0, y = 1, z = 0}, math.pi / 4)
|
|
assert.True(almost_equal(vector.normalize(vector.cross(v_after3, v_before3)), {x = 0, y = 1, z = 0}))
|
|
|
|
local v_before4 = {x = 3, y = 0, z = 4}
|
|
local v_after4 = vector.rotate_around_axis(v_before4, {x = 0, y = 1, z = 0}, 2 * math.pi / 5)
|
|
assert.True(almost_equal(vector.normalize(vector.cross(v_after4, v_before4)), {x = 0, y = 1, z = 0}))
|
|
|
|
local v_before5 = {x = 1, y = -1, z = 0}
|
|
local v_after5 = vector.rotate_around_axis(v_before5, {x = 0, y = 0, z = 1}, math.pi / 4)
|
|
assert.True(almost_equal(vector.normalize(vector.cross(v_after5, v_before5)), {x = 0, y = 0, z = 1}))
|
|
|
|
local v_before6 = {x = 3, y = 4, z = 0}
|
|
local v_after6 = vector.rotate_around_axis(v_before6, {x = 0, y = 0, z = 1}, 2 * math.pi / 5)
|
|
assert.True(almost_equal(vector.normalize(vector.cross(v_after6, v_before6)), {x = 0, y = 0, z = 1}))
|
|
end)
|
|
end)
|
|
|
|
describe("rotate()", function()
|
|
it("rotates", function()
|
|
assert.True(almost_equal({x = -1, y = 0, z = 0},
|
|
vector.rotate({x = 1, y = 0, z = 0}, {x = 0, y = math.pi, z = 0})))
|
|
assert.True(almost_equal({x = 0, y = -1, z = 0},
|
|
vector.rotate({x = 1, y = 0, z = 0}, {x = 0, y = 0, z = math.pi / 2})))
|
|
assert.True(almost_equal({x = 1, y = 0, z = 0},
|
|
vector.rotate({x = 1, y = 0, z = 0}, {x = math.pi / 123, y = 0, z = 0})))
|
|
end)
|
|
it("is counterclockwise", function()
|
|
local v_before1 = {x = 0, y = 1, z = -1}
|
|
local v_after1 = vector.rotate(v_before1, {x = math.pi / 4, y = 0, z = 0})
|
|
assert.True(almost_equal(vector.normalize(vector.cross(v_after1, v_before1)), {x = 1, y = 0, z = 0}))
|
|
|
|
local v_before2 = {x = 0, y = 3, z = 4}
|
|
local v_after2 = vector.rotate(v_before2, {x = 2 * math.pi / 5, y = 0, z = 0})
|
|
assert.True(almost_equal(vector.normalize(vector.cross(v_after2, v_before2)), {x = 1, y = 0, z = 0}))
|
|
|
|
local v_before3 = {x = 1, y = 0, z = -1}
|
|
local v_after3 = vector.rotate(v_before3, {x = 0, y = math.pi / 4, z = 0})
|
|
assert.True(almost_equal(vector.normalize(vector.cross(v_after3, v_before3)), {x = 0, y = 1, z = 0}))
|
|
|
|
local v_before4 = {x = 3, y = 0, z = 4}
|
|
local v_after4 = vector.rotate(v_before4, {x = 0, y = 2 * math.pi / 5, z = 0})
|
|
assert.True(almost_equal(vector.normalize(vector.cross(v_after4, v_before4)), {x = 0, y = 1, z = 0}))
|
|
|
|
local v_before5 = {x = 1, y = -1, z = 0}
|
|
local v_after5 = vector.rotate(v_before5, {x = 0, y = 0, z = math.pi / 4})
|
|
assert.True(almost_equal(vector.normalize(vector.cross(v_after5, v_before5)), {x = 0, y = 0, z = 1}))
|
|
|
|
local v_before6 = {x = 3, y = 4, z = 0}
|
|
local v_after6 = vector.rotate(v_before6, {x = 0, y = 0, z = 2 * math.pi / 5})
|
|
assert.True(almost_equal(vector.normalize(vector.cross(v_after6, v_before6)), {x = 0, y = 0, z = 1}))
|
|
end)
|
|
end)
|
|
|
|
it("dir_to_rotation()", function()
|
|
-- Comparing rotations (pitch, yaw, roll) is hard because of certain ambiguities,
|
|
-- e.g. (pi, 0, pi) looks exactly the same as (0, pi, 0)
|
|
-- So instead we convert the rotation back to vectors and compare these.
|
|
local function forward_at_rot(rot)
|
|
return vector.rotate(vector.new(0, 0, 1), rot)
|
|
end
|
|
local function up_at_rot(rot)
|
|
return vector.rotate(vector.new(0, 1, 0), rot)
|
|
end
|
|
local rot1 = vector.dir_to_rotation({x = 1, y = 0, z = 0}, {x = 0, y = 1, z = 0})
|
|
assert.True(almost_equal({x = 1, y = 0, z = 0}, forward_at_rot(rot1)))
|
|
assert.True(almost_equal({x = 0, y = 1, z = 0}, up_at_rot(rot1)))
|
|
local rot2 = vector.dir_to_rotation({x = 1, y = 1, z = 0}, {x = 0, y = 0, z = 1})
|
|
assert.True(almost_equal({x = 1/math.sqrt(2), y = 1/math.sqrt(2), z = 0}, forward_at_rot(rot2)))
|
|
assert.True(almost_equal({x = 0, y = 0, z = 1}, up_at_rot(rot2)))
|
|
for i = 1, 1000 do
|
|
local rand_vec = vector.new(math.random(), math.random(), math.random())
|
|
if vector.length(rand_vec) ~= 0 then
|
|
local rot_1 = vector.dir_to_rotation(rand_vec)
|
|
local rot_2 = {
|
|
x = math.atan2(rand_vec.y, math.sqrt(rand_vec.z * rand_vec.z + rand_vec.x * rand_vec.x)),
|
|
y = -math.atan2(rand_vec.x, rand_vec.z),
|
|
z = 0
|
|
}
|
|
assert.True(almost_equal(rot_1, rot_2))
|
|
end
|
|
end
|
|
|
|
end)
|
|
end)
|