6132372428

Committed 09 Sep 2023 05:51PM UTC coverage: 58.701% (+0.6%) from 58.146%

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Merge pull request #1 from mcclure/euler-quat

quat.to_euler_angles and quat.to_euler_angles_unpack

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/modules/vec2.lua

--- A 2 component vector.
-- @module vec2

local modules = (...):gsub('%.[^%.]+$', '') .. "."
local vec3    = require(modules .. "vec3")
local precond = require(modules .. "_private_precond")
local private = require(modules .. "_private_utils")
local acos    = math.acos
local atan2   = math.atan2 or math.atan
local sqrt    = math.sqrt
local cos     = math.cos
local sin     = math.sin
local vec2    = {}
local vec2_mt = {}

-- Private constructor.
local function new(x, y)
        return setmetatable({
                x = x or 0,
                y = y or 0
        }, vec2_mt)
end

-- Do the check to see if JIT is enabled. If so use the optimized FFI structs.
local status, ffi
if type(jit) == "table" and jit.status() then
        status, ffi = pcall(require, "ffi")
        if status then
                ffi.cdef "typedef struct { double x, y;} cpml_vec2;"
                new = ffi.typeof("cpml_vec2")
        end
end

--- Constants
-- @table vec2
-- @field unit_x X axis of rotation
-- @field unit_y Y axis of rotation
-- @field zero Empty vector
vec2.unit_x = new(1, 0)
vec2.unit_y = new(0, 1)
vec2.zero   = new(0, 0)

--- The public constructor.
-- @param x Can be of three types: </br>
-- number X component
-- table {x, y} or {x = x, y = y}
-- scalar to fill the vector eg. {x, x}
-- @tparam number y Y component
-- @treturn vec2 out
function vec2.new(x, y)
        -- number, number
        if x and y then
                precond.typeof(x, "number", "new: Wrong argument type for x")
                precond.typeof(y, "number", "new: Wrong argument type for y")

                return new(x, y)

        -- {x, y} or {x=x, y=y}
        elseif type(x) == "table" or type(x) == "cdata" then -- table in vanilla lua, cdata in luajit
                local xx, yy = x.x or x[1], x.y or x[2]
                precond.typeof(xx, "number", "new: Wrong argument type for x")
                precond.typeof(yy, "number", "new: Wrong argument type for y")

                return new(xx, yy)

        -- number
        elseif type(x) == "number" then
                return new(x, x)
        else
                return new()
        end
end

--- Convert point from polar to cartesian.
-- @tparam number radius Radius of the point
-- @tparam number theta Angle of the point (in radians)
-- @treturn vec2 out
function vec2.from_cartesian(radius, theta)
        return new(radius * cos(theta), radius * sin(theta))
end

--- Clone a vector.
-- @tparam vec2 a Vector to be cloned
-- @treturn vec2 out
function vec2.clone(a)
        return new(a.x, a.y)
end

--- Add two vectors.
-- @tparam vec2 a Left hand operand
-- @tparam vec2 b Right hand operand
-- @treturn vec2 out
function vec2.add(a, b)
        return new(
                a.x + b.x,
                a.y + b.y
        )
end

--- Subtract one vector from another.
-- Order: If a and b are positions, computes the direction and distance from b
-- to a.
-- @tparam vec2 a Left hand operand
-- @tparam vec2 b Right hand operand
-- @treturn vec2 out
function vec2.sub(a, b)
        return new(
                a.x - b.x,
                a.y - b.y
        )
end

--- Multiply a vector by another vector.
-- Component-size multiplication not matrix multiplication.
-- @tparam vec2 a Left hand operand
-- @tparam vec2 b Right hand operand
-- @treturn vec2 out
function vec2.mul(a, b)
        return new(
                a.x * b.x,
                a.y * b.y
        )
end

--- Divide a vector by another vector.
-- Component-size inv multiplication. Like a non-uniform scale().
-- @tparam vec2 a Left hand operand
-- @tparam vec2 b Right hand operand
-- @treturn vec2 out
function vec2.div(a, b)
        return new(
                a.x / b.x,
                a.y / b.y
        )
end

--- Get the normal of a vector.
-- @tparam vec2 a Vector to normalize
-- @treturn vec2 out
function vec2.normalize(a)
        if a:is_zero() then
                return new()
        end
        return a:scale(1 / a:len())
end

--- Trim a vector to a given length.
-- @tparam vec2 a Vector to be trimmed
-- @tparam number len Length to trim the vector to
-- @treturn vec2 out
function vec2.trim(a, len)
        return a:normalize():scale(math.min(a:len(), len))
end

--- Get the cross product of two vectors.
-- Order: Positive if a is clockwise from b. Magnitude is the area spanned by
-- the parallelograms that a and b span.
-- @tparam vec2 a Left hand operand
-- @tparam vec2 b Right hand operand
-- @treturn number magnitude
function vec2.cross(a, b)
        return a.x * b.y - a.y * b.x
end

--- Get the dot product of two vectors.
-- @tparam vec2 a Left hand operand
-- @tparam vec2 b Right hand operand
-- @treturn number dot
function vec2.dot(a, b)
        return a.x * b.x + a.y * b.y
end

--- Get the length of a vector.
-- @tparam vec2 a Vector to get the length of
-- @treturn number len
function vec2.len(a)
        return sqrt(a.x * a.x + a.y * a.y)
end

--- Get the squared length of a vector.
-- @tparam vec2 a Vector to get the squared length of
-- @treturn number len
function vec2.len2(a)
        return a.x * a.x + a.y * a.y
end

--- Get the distance between two vectors.
-- @tparam vec2 a Left hand operand
-- @tparam vec2 b Right hand operand
-- @treturn number dist
function vec2.dist(a, b)
        local dx = a.x - b.x
        local dy = a.y - b.y
        return sqrt(dx * dx + dy * dy)
end

--- Get the squared distance between two vectors.
-- @tparam vec2 a Left hand operand
-- @tparam vec2 b Right hand operand
-- @treturn number dist
function vec2.dist2(a, b)
        local dx = a.x - b.x
        local dy = a.y - b.y
        return dx * dx + dy * dy
end

--- Scale a vector by a scalar.
-- @tparam vec2 a Left hand operand
-- @tparam number b Right hand operand
-- @treturn vec2 out
function vec2.scale(a, b)
        return new(
                a.x * b,
                a.y * b
        )
end

--- Rotate a vector.
-- @tparam vec2 a Vector to rotate
-- @tparam number phi Angle to rotate vector by (in radians)
-- @treturn vec2 out
function vec2.rotate(a, phi)
        local c = cos(phi)
        local s = sin(phi)
        return new(
                c * a.x - s * a.y,
                s * a.x + c * a.y
        )
end

--- Get the perpendicular vector of a vector.
-- @tparam vec2 a Vector to get perpendicular axes from
-- @treturn vec2 out
function vec2.perpendicular(a)
        return new(-a.y, a.x)
end

--- Signed angle from one vector to another.
-- Rotations from +x to +y are positive.
-- @tparam vec2 a Vector
-- @tparam vec2 b Vector
-- @treturn number angle in (-pi, pi]
function vec2.angle_to(a, b)
        if b then
                local angle = atan2(b.y, b.x) - atan2(a.y, a.x)
                -- convert to (-pi, pi]
                if angle > math.pi       then
                        angle = angle - 2 * math.pi
                elseif angle <= -math.pi then
                        angle = angle + 2 * math.pi
                end
                return angle
        end

        return atan2(a.y, a.x)
end

--- Unsigned angle between two vectors.
-- Directionless and thus commutative.
-- @tparam vec2 a Vector
-- @tparam vec2 b Vector
-- @treturn number angle in [0, pi]
function vec2.angle_between(a, b)
        if b then
                if vec2.is_vec2(a) then
                        return acos(a:dot(b) / (a:len() * b:len()))
                end

                return acos(vec3.dot(a, b) / (vec3.len(a) * vec3.len(b)))
        end

        return 0
end

--- Lerp between two vectors.
-- @tparam vec2 a Left hand operand
-- @tparam vec2 b Right hand operand
-- @tparam number s Step value
-- @treturn vec2 out
function vec2.lerp(a, b, s)
        return a + (b - a) * s
end

--- Unpack a vector into individual components.
-- @tparam vec2 a Vector to unpack
-- @treturn number x
-- @treturn number y
function vec2.unpack(a)
        return a.x, a.y
end

--- Return the component-wise minimum of two vectors.
-- @tparam vec2 a Left hand operand
-- @tparam vec2 b Right hand operand
-- @treturn vec2 A vector where each component is the lesser value for that component between the two given vectors.
function vec2.component_min(a, b)
        return new(math.min(a.x, b.x), math.min(a.y, b.y))
end

--- Return the component-wise maximum of two vectors.
-- @tparam vec2 a Left hand operand
-- @tparam vec2 b Right hand operand
-- @treturn vec2 A vector where each component is the lesser value for that component between the two given vectors.
function vec2.component_max(a, b)
        return new(math.max(a.x, b.x), math.max(a.y, b.y))
end


--- Return a boolean showing if a table is or is not a vec2.
-- @tparam vec2 a Vector to be tested
-- @treturn boolean is_vec2
function vec2.is_vec2(a)
        if type(a) == "cdata" then
                return ffi.istype("cpml_vec2", a)
        end

        return
                type(a)   == "table"  and
                type(a.x) == "number" and
                type(a.y) == "number"
end

--- Return a boolean showing if a table is or is not a zero vec2.
-- @tparam vec2 a Vector to be tested
-- @treturn boolean is_zero
function vec2.is_zero(a)
        return a.x == 0 and a.y == 0
end

--- Return whether either value is NaN
-- @tparam vec2 a Vector to be tested
-- @treturn boolean if x or y is nan
function vec2.has_nan(a)
        return private.is_nan(a.x) or
                private.is_nan(a.y)
end

--- Convert point from cartesian to polar.
-- @tparam vec2 a Vector to convert
-- @treturn number radius
-- @treturn number theta
function vec2.to_polar(a)
        local radius = sqrt(a.x^2 + a.y^2)
        local theta  = atan2(a.y, a.x)
        theta = theta > 0 and theta or theta + 2 * math.pi
        return radius, theta
end

-- Round all components to nearest int (or other precision).
-- @tparam vec2 a Vector to round.
-- @tparam precision Digits after the decimal (integer if unspecified)
-- @treturn vec2 Rounded vector
function vec2.round(a, precision)
        return vec2.new(private.round(a.x, precision), private.round(a.y, precision))
end

-- Negate x axis only of vector.
-- @tparam vec2 a Vector to x-flip.
-- @treturn vec2 x-flipped vector
function vec2.flip_x(a)
        return vec2.new(-a.x, a.y)
end

-- Negate y axis only of vector.
-- @tparam vec2 a Vector to y-flip.
-- @treturn vec2 y-flipped vector
function vec2.flip_y(a)
        return vec2.new(a.x, -a.y)
end

-- Convert vec2 to vec3.
-- @tparam vec2 a Vector to convert.
-- @tparam number the new z component, or nil for 0
-- @treturn vec3 Converted vector
function vec2.to_vec3(a, z)
        return vec3(a.x, a.y, z or 0)
end

--- Return a formatted string.
-- @tparam vec2 a Vector to be turned into a string
-- @treturn string formatted
function vec2.to_string(a)
        return string.format("(%+0.3f,%+0.3f)", a.x, a.y)
end

--provide basic compatibility with other vector libraries
local vec_enum = {
        "x",
        "y"
}
vec2_mt.__index    = function(vec, i)
        if vec2[i] then return vec2[i] end
        if type(i) == "number" and i < 3 then
                return vec[vec_enum[i]]
        end
end
vec2_mt.__tostring = vec2.to_string

function vec2_mt.__call(_, x, y)
        return vec2.new(x, y)
end

function vec2_mt.__unm(a)
        return new(-a.x, -a.y)
end

function vec2_mt.__eq(a, b)
        if not vec2.is_vec2(a) or not vec2.is_vec2(b) then
                return false
        end
        return a.x == b.x and a.y == b.y
end

function vec2_mt.__add(a, b)
        precond.assert(vec2.is_vec2(a), "__add: Wrong argument type '%s' for left hand operand. (<cpml.vec2> expected)", type(a))
        precond.assert(vec2.is_vec2(b), "__add: Wrong argument type '%s' for right hand operand. (<cpml.vec2> expected)", type(b))
        return a:add(b)
end

function vec2_mt.__sub(a, b)
        precond.assert(vec2.is_vec2(a), "__add: Wrong argument type '%s' for left hand operand. (<cpml.vec2> expected)", type(a))
        precond.assert(vec2.is_vec2(b), "__add: Wrong argument type '%s' for right hand operand. (<cpml.vec2> expected)", type(b))
        return a:sub(b)
end

function vec2_mt.__mul(a, b)
        precond.assert(vec2.is_vec2(a), "__mul: Wrong argument type '%s' for left hand operand. (<cpml.vec2> expected)", type(a))
        assert(vec2.is_vec2(b) or type(b) == "number", "__mul: Wrong argument type for right hand operand. (<cpml.vec2> or <number> expected)")

        if vec2.is_vec2(b) then
                return a:mul(b)
        end

        return a:scale(b)
end

function vec2_mt.__div(a, b)
        precond.assert(vec2.is_vec2(a), "__div: Wrong argument type '%s' for left hand operand. (<cpml.vec2> expected)", type(a))
        assert(vec2.is_vec2(b) or type(b) == "number", "__div: Wrong argument type for right hand operand. (<cpml.vec2> or <number> expected)")

        if vec2.is_vec2(b) then
                return a:div(b)
        end

        return a:scale(1 / b)
end

if status then
        xpcall(function() -- Allow this to silently fail; assume failure means someone messed with package.loaded
                ffi.metatype(new, vec2_mt)
        end, function() end)
end

return setmetatable({}, vec2_mt)

1	--- A 2 component vector.
2	-- @module vec2
3
4	local modules = (...):gsub('%.[^%.]+$', '') .. "."	24✔
5	local vec3 = require(modules .. "vec3")	24✔
6	local precond = require(modules .. "_private_precond")	24✔
7	local private = require(modules .. "_private_utils")	24✔
8	local acos = math.acos	24✔
9	local atan2 = math.atan2 or math.atan	24✔
10	local sqrt = math.sqrt	24✔
11	local cos = math.cos	24✔
12	local sin = math.sin	24✔
13	local vec2 = {}	24✔
14	local vec2_mt = {}	24✔
15
16	-- Private constructor.
17	local function new(x, y)
18	return setmetatable({	548✔
19	x = x or 0,	274✔
20	y = y or 0	274✔
21	}, vec2_mt)	548✔
22	end
23
24	-- Do the check to see if JIT is enabled. If so use the optimized FFI structs.
25	local status, ffi
26	if type(jit) == "table" and jit.status() then	24✔
27	status, ffi = pcall(require, "ffi")	16✔
28	if status then	16✔
29	ffi.cdef "typedef struct { double x, y;} cpml_vec2;"	16✔
30	new = ffi.typeof("cpml_vec2")	32✔
31	end
32	end
33
34	--- Constants
35	-- @table vec2
36	-- @field unit_x X axis of rotation
37	-- @field unit_y Y axis of rotation
38	-- @field zero Empty vector
39	vec2.unit_x = new(1, 0)	24✔
40	vec2.unit_y = new(0, 1)	24✔
41	vec2.zero = new(0, 0)	24✔
42
43	--- The public constructor.
44	-- @param x Can be of three types: </br>
45	-- number X component
46	-- table {x, y} or {x = x, y = y}
47	-- scalar to fill the vector eg. {x, x}
48	-- @tparam number y Y component
49	-- @treturn vec2 out
50	function vec2.new(x, y)	24✔
51	-- number, number
52	if x and y then	360✔
53	precond.typeof(x, "number", "new: Wrong argument type for x")	336✔
54	precond.typeof(y, "number", "new: Wrong argument type for y")	336✔
55
56	return new(x, y)	336✔
57
58	-- {x, y} or {x=x, y=y}
59	elseif type(x) == "table" or type(x) == "cdata" then -- table in vanilla lua, cdata in luajit	24✔
60	local xx, yy = x.x or x[1], x.y or x[2]	12✔
61	precond.typeof(xx, "number", "new: Wrong argument type for x")	12✔
62	precond.typeof(yy, "number", "new: Wrong argument type for y")	12✔
63
64	return new(xx, yy)	12✔
65
66	-- number
67	elseif type(x) == "number" then	12✔
68	return new(x, x)	6✔
69	else
70	return new()	6✔
71	end
72	end
73
74	--- Convert point from polar to cartesian.
75	-- @tparam number radius Radius of the point
76	-- @tparam number theta Angle of the point (in radians)
77	-- @treturn vec2 out
78	function vec2.from_cartesian(radius, theta)	24✔
79	return new(radius * cos(theta), radius * sin(theta))	3✔
80	end
81
82	--- Clone a vector.
83	-- @tparam vec2 a Vector to be cloned
84	-- @treturn vec2 out
85	function vec2.clone(a)	24✔
86	return new(a.x, a.y)	213✔
87	end
88
89	--- Add two vectors.
90	-- @tparam vec2 a Left hand operand
91	-- @tparam vec2 b Right hand operand
92	-- @treturn vec2 out
93	function vec2.add(a, b)	24✔
94	return new(	56✔
95	a.x + b.x,	42✔
96	a.y + b.y	42✔
97	)	28✔
98	end
99
100	--- Subtract one vector from another.
101	-- Order: If a and b are positions, computes the direction and distance from b
102	-- to a.
103	-- @tparam vec2 a Left hand operand
104	-- @tparam vec2 b Right hand operand
105	-- @treturn vec2 out
106	function vec2.sub(a, b)	24✔
107	return new(	36✔
108	a.x - b.x,	27✔
109	a.y - b.y	27✔
110	)	18✔
111	end
112
113	--- Multiply a vector by another vector.
114	-- Component-size multiplication not matrix multiplication.
115	-- @tparam vec2 a Left hand operand
116	-- @tparam vec2 b Right hand operand
117	-- @treturn vec2 out
118	function vec2.mul(a, b)	24✔
119	return new(	×
120	a.x * b.x,	×
121	a.y * b.y	×
122	)
123	end
124
125	--- Divide a vector by another vector.
126	-- Component-size inv multiplication. Like a non-uniform scale().
127	-- @tparam vec2 a Left hand operand
128	-- @tparam vec2 b Right hand operand
129	-- @treturn vec2 out
130	function vec2.div(a, b)	24✔
131	return new(	8✔
132	a.x / b.x,	6✔
133	a.y / b.y	6✔
134	)	4✔
135	end
136
137	--- Get the normal of a vector.
138	-- @tparam vec2 a Vector to normalize
139	-- @treturn vec2 out
140	function vec2.normalize(a)	24✔
141	if a:is_zero() then	14✔
142	return new()	×
143	end
144	return a:scale(1 / a:len())	18✔
145	end
146
147	--- Trim a vector to a given length.
148	-- @tparam vec2 a Vector to be trimmed
149	-- @tparam number len Length to trim the vector to
150	-- @treturn vec2 out
151	function vec2.trim(a, len)	24✔
152	return a:normalize():scale(math.min(a:len(), len))	13✔
153	end
154
155	--- Get the cross product of two vectors.
156	-- Order: Positive if a is clockwise from b. Magnitude is the area spanned by
157	-- the parallelograms that a and b span.
158	-- @tparam vec2 a Left hand operand
159	-- @tparam vec2 b Right hand operand
160	-- @treturn number magnitude
161	function vec2.cross(a, b)	24✔
162	return a.x * b.y - a.y * b.x	3✔
163	end
164
165	--- Get the dot product of two vectors.
166	-- @tparam vec2 a Left hand operand
167	-- @tparam vec2 b Right hand operand
168	-- @treturn number dot
169	function vec2.dot(a, b)	24✔
170	return a.x * b.x + a.y * b.y	51✔
171	end
172
173	--- Get the length of a vector.
174	-- @tparam vec2 a Vector to get the length of
175	-- @treturn number len
176	function vec2.len(a)	24✔
177	return sqrt(a.x * a.x + a.y * a.y)	114✔
178	end
179
180	--- Get the squared length of a vector.
181	-- @tparam vec2 a Vector to get the squared length of
182	-- @treturn number len
183	function vec2.len2(a)	24✔
184	return a.x * a.x + a.y * a.y	3✔
185	end
186
187	--- Get the distance between two vectors.
188	-- @tparam vec2 a Left hand operand
189	-- @tparam vec2 b Right hand operand
190	-- @treturn number dist
191	function vec2.dist(a, b)	24✔
192	local dx = a.x - b.x	3✔
193	local dy = a.y - b.y	3✔
194	return sqrt(dx * dx + dy * dy)	3✔
195	end
196
197	--- Get the squared distance between two vectors.
198	-- @tparam vec2 a Left hand operand
199	-- @tparam vec2 b Right hand operand
200	-- @treturn number dist
201	function vec2.dist2(a, b)	24✔
202	local dx = a.x - b.x	3✔
203	local dy = a.y - b.y	3✔
204	return dx * dx + dy * dy	3✔
205	end
206
207	--- Scale a vector by a scalar.
208	-- @tparam vec2 a Left hand operand
209	-- @tparam number b Right hand operand
210	-- @treturn vec2 out
211	function vec2.scale(a, b)	24✔
212	return new(	44✔
213	a.x * b,	33✔
214	a.y * b	33✔
215	)	22✔
216	end
217
218	--- Rotate a vector.
219	-- @tparam vec2 a Vector to rotate
220	-- @tparam number phi Angle to rotate vector by (in radians)
221	-- @treturn vec2 out
222	function vec2.rotate(a, phi)	24✔
223	local c = cos(phi)	6✔
224	local s = sin(phi)	6✔
225	return new(	8✔
226	c * a.x - s * a.y,	6✔
227	s * a.x + c * a.y	6✔
228	)	4✔
229	end
230
231	--- Get the perpendicular vector of a vector.
232	-- @tparam vec2 a Vector to get perpendicular axes from
233	-- @treturn vec2 out
234	function vec2.perpendicular(a)	24✔
235	return new(-a.y, a.x)	3✔
236	end
237
238	--- Signed angle from one vector to another.
239	-- Rotations from +x to +y are positive.
240	-- @tparam vec2 a Vector
241	-- @tparam vec2 b Vector
242	-- @treturn number angle in (-pi, pi]
243	function vec2.angle_to(a, b)	24✔
244	if b then	48✔
245	local angle = atan2(b.y, b.x) - atan2(a.y, a.x)	48✔
246	-- convert to (-pi, pi]
247	if angle > math.pi then	48✔
248	angle = angle - 2 * math.pi	3✔
249	elseif angle <= -math.pi then	45✔
250	angle = angle + 2 * math.pi	9✔
251	end
252	return angle	48✔
253	end
254
255	return atan2(a.y, a.x)	×
256	end
257
258	--- Unsigned angle between two vectors.
259	-- Directionless and thus commutative.
260	-- @tparam vec2 a Vector
261	-- @tparam vec2 b Vector
262	-- @treturn number angle in [0, pi]
263	function vec2.angle_between(a, b)	24✔
264	if b then	48✔
265	if vec2.is_vec2(a) then	80✔
266	return acos(a:dot(b) / (a:len() * b:len()))	240✔
267	end
268
269	return acos(vec3.dot(a, b) / (vec3.len(a) * vec3.len(b)))	×
270	end
271
272	return 0	×
273	end
274
275	--- Lerp between two vectors.
276	-- @tparam vec2 a Left hand operand
277	-- @tparam vec2 b Right hand operand
278	-- @tparam number s Step value
279	-- @treturn vec2 out
280	function vec2.lerp(a, b, s)	24✔
281	return a + (b - a) * s	9✔
282	end
283
284	--- Unpack a vector into individual components.
285	-- @tparam vec2 a Vector to unpack
286	-- @treturn number x
287	-- @treturn number y
288	function vec2.unpack(a)	24✔
289	return a.x, a.y	3✔
290	end
291
292	--- Return the component-wise minimum of two vectors.
293	-- @tparam vec2 a Left hand operand
294	-- @tparam vec2 b Right hand operand
295	-- @treturn vec2 A vector where each component is the lesser value for that component between the two given vectors.
296	function vec2.component_min(a, b)	24✔
297	return new(math.min(a.x, b.x), math.min(a.y, b.y))	27✔
298	end
299
300	--- Return the component-wise maximum of two vectors.
301	-- @tparam vec2 a Left hand operand
302	-- @tparam vec2 b Right hand operand
303	-- @treturn vec2 A vector where each component is the lesser value for that component between the two given vectors.
304	function vec2.component_max(a, b)	24✔
305	return new(math.max(a.x, b.x), math.max(a.y, b.y))	27✔
306	end
307
308
309	--- Return a boolean showing if a table is or is not a vec2.
310	-- @tparam vec2 a Vector to be tested
311	-- @treturn boolean is_vec2
312	function vec2.is_vec2(a)	24✔
313	if type(a) == "cdata" then	397✔
314	return ffi.istype("cpml_vec2", a)	238✔
315	end
316
317	return	×
318	type(a) == "table" and	159✔
319	type(a.x) == "number" and	117✔
320	type(a.y) == "number"	159✔
321	end
322
323	--- Return a boolean showing if a table is or is not a zero vec2.
324	-- @tparam vec2 a Vector to be tested
325	-- @treturn boolean is_zero
326	function vec2.is_zero(a)	24✔
327	return a.x == 0 and a.y == 0	9✔
328	end
329
330	--- Return whether either value is NaN
331	-- @tparam vec2 a Vector to be tested
332	-- @treturn boolean if x or y is nan
333	function vec2.has_nan(a)	24✔
334	return private.is_nan(a.x) or	5✔
335	private.is_nan(a.y)	3✔
336	end
337
338	--- Convert point from cartesian to polar.
339	-- @tparam vec2 a Vector to convert
340	-- @treturn number radius
341	-- @treturn number theta
342	function vec2.to_polar(a)	24✔
343	local radius = sqrt(a.x^2 + a.y^2)	3✔
344	local theta = atan2(a.y, a.x)	3✔
345	theta = theta > 0 and theta or theta + 2 * math.pi	3✔
346	return radius, theta	3✔
347	end
348
349	-- Round all components to nearest int (or other precision).
350	-- @tparam vec2 a Vector to round.
351	-- @tparam precision Digits after the decimal (integer if unspecified)
352	-- @treturn vec2 Rounded vector
353	function vec2.round(a, precision)	24✔
354	return vec2.new(private.round(a.x, precision), private.round(a.y, precision))	21✔
355	end
356
357	-- Negate x axis only of vector.
358	-- @tparam vec2 a Vector to x-flip.
359	-- @treturn vec2 x-flipped vector
360	function vec2.flip_x(a)	24✔
361	return vec2.new(-a.x, a.y)	3✔
362	end
363
364	-- Negate y axis only of vector.
365	-- @tparam vec2 a Vector to y-flip.
366	-- @treturn vec2 y-flipped vector
367	function vec2.flip_y(a)	24✔
368	return vec2.new(a.x, -a.y)	3✔
369	end
370
371	-- Convert vec2 to vec3.
372	-- @tparam vec2 a Vector to convert.
373	-- @tparam number the new z component, or nil for 0
374	-- @treturn vec3 Converted vector
375	function vec2.to_vec3(a, z)	24✔
376	return vec3(a.x, a.y, z or 0)	6✔
377	end
378
379	--- Return a formatted string.
380	-- @tparam vec2 a Vector to be turned into a string
381	-- @treturn string formatted
382	function vec2.to_string(a)	24✔
383	return string.format("(%+0.3f,%+0.3f)", a.x, a.y)	3✔
384	end
385
386	--provide basic compatibility with other vector libraries
387	local vec_enum = {	24✔
388	"x",	8✔
389	"y"
390	}	8✔
391	vec2_mt.__index = function(vec, i)
392	if vec2[i] then return vec2[i] end	732✔
393	if type(i) == "number" and i < 3 then	×
394	return vec[vec_enum[i]]	×
395	end
396	end
397	vec2_mt.__tostring = vec2.to_string	24✔
398
399	function vec2_mt.__call(_, x, y)	24✔
400	return vec2.new(x, y)	342✔
401	end
402
403	function vec2_mt.__unm(a)	24✔
404	return new(-a.x, -a.y)	3✔
405	end
406
407	function vec2_mt.__eq(a, b)	24✔
408	if not vec2.is_vec2(a) or not vec2.is_vec2(b) then	174✔
409	return false	×
410	end
411	return a.x == b.x and a.y == b.y	74✔
412	end
413
414	function vec2_mt.__add(a, b)	24✔
415	precond.assert(vec2.is_vec2(a), "__add: Wrong argument type '%s' for left hand operand. (<cpml.vec2> expected)", type(a))	65✔
416	precond.assert(vec2.is_vec2(b), "__add: Wrong argument type '%s' for right hand operand. (<cpml.vec2> expected)", type(b))	65✔
417	return a:add(b)	65✔
418	end
419
420	function vec2_mt.__sub(a, b)	24✔
421	precond.assert(vec2.is_vec2(a), "__add: Wrong argument type '%s' for left hand operand. (<cpml.vec2> expected)", type(a))	40✔
422	precond.assert(vec2.is_vec2(b), "__add: Wrong argument type '%s' for right hand operand. (<cpml.vec2> expected)", type(b))	40✔
423	return a:sub(b)	40✔
424	end
425
426	function vec2_mt.__mul(a, b)	24✔
427	precond.assert(vec2.is_vec2(a), "__mul: Wrong argument type '%s' for left hand operand. (<cpml.vec2> expected)", type(a))	10✔
428	assert(vec2.is_vec2(b) or type(b) == "number", "__mul: Wrong argument type for right hand operand. (<cpml.vec2> or <number> expected)")	10✔
429
430	if vec2.is_vec2(b) then	10✔
431	return a:mul(b)	×
432	end
433
434	return a:scale(b)	10✔
435	end
436
437	function vec2_mt.__div(a, b)	24✔
438	precond.assert(vec2.is_vec2(a), "__div: Wrong argument type '%s' for left hand operand. (<cpml.vec2> expected)", type(a))	30✔
439	assert(vec2.is_vec2(b) or type(b) == "number", "__div: Wrong argument type for right hand operand. (<cpml.vec2> or <number> expected)")	30✔
440
441	if vec2.is_vec2(b) then	30✔
442	return a:div(b)	5✔
443	end
444
445	return a:scale(1 / b)	25✔
446	end
447
448	if status then	24✔
449	xpcall(function() -- Allow this to silently fail; assume failure means someone messed with package.loaded	32✔
450	ffi.metatype(new, vec2_mt)	16✔
451	end, function() end)	32✔
452	end
453
454	return setmetatable({}, vec2_mt)	24✔

excessive / cpml / 6132372428

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