builtin/common/tests/vector_spec.lua


1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188

_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)

	-- 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)))