-
Notifications
You must be signed in to change notification settings - Fork 49
/
V4.hs
567 lines (467 loc) · 17.5 KB
/
V4.hs
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
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
{-# LANGUAGE DeriveDataTypeable #-}
{-# LANGUAGE ScopedTypeVariables #-}
{-# LANGUAGE FlexibleInstances #-}
{-# LANGUAGE RankNTypes #-}
{-# LANGUAGE TypeFamilies #-}
{-# LANGUAGE MultiParamTypeClasses #-}
{-# LANGUAGE CPP #-}
#if defined(__GLASGOW_HASKELL__) && __GLASGOW_HASKELL__ >= 702
{-# LANGUAGE Trustworthy #-}
{-# LANGUAGE DeriveGeneric #-}
#endif
-----------------------------------------------------------------------------
-- |
-- Copyright : (C) 2012-2015 Edward Kmett,
-- License : BSD-style (see the file LICENSE)
--
-- Maintainer : Edward Kmett <ekmett@gmail.com>
-- Stability : experimental
-- Portability : non-portable
--
-- 4-D Vectors
----------------------------------------------------------------------------
module Linear.V4
( V4(..)
, vector, point, normalizePoint
, R1(..)
, R2(..)
, _yx
, R3(..)
, _xz, _yz, _zx, _zy
, _xzy, _yxz, _yzx, _zxy, _zyx
, R4(..)
, _xw, _yw, _zw, _wx, _wy, _wz
, _xyw, _xzw, _xwy, _xwz, _yxw, _yzw, _ywx, _ywz, _zxw, _zyw, _zwx, _zwy
, _wxy, _wxz, _wyx, _wyz, _wzx, _wzy
, _xywz, _xzyw, _xzwy, _xwyz, _xwzy, _yxzw , _yxwz, _yzxw, _yzwx, _ywxz
, _ywzx, _zxyw, _zxwy, _zyxw, _zywx, _zwxy, _zwyx, _wxyz, _wxzy, _wyxz
, _wyzx, _wzxy, _wzyx
, ex, ey, ez, ew
) where
import Control.Applicative
import Control.DeepSeq (NFData(rnf))
import Control.Monad (liftM)
import Control.Monad.Fix
import Control.Monad.Zip
import Control.Lens hiding ((<.>))
import Data.Binary as Binary
import Data.Bytes.Serial
import Data.Data
import Data.Distributive
import Data.Foldable
import Data.Functor.Bind
import Data.Functor.Classes
import Data.Functor.Rep
import Data.Hashable
import Data.Semigroup
import Data.Semigroup.Foldable
import Data.Serialize as Cereal
import Foreign.Ptr (castPtr)
import Foreign.Storable (Storable(..))
import GHC.Arr (Ix(..))
#if defined(__GLASGOW_HASKELL__) && __GLASGOW_HASKELL__ >= 702
import GHC.Generics (Generic)
#endif
#if defined(__GLASGOW_HASKELL__) && __GLASGOW_HASKELL__ >= 706
import GHC.Generics (Generic1)
#endif
import qualified Data.Vector.Generic.Mutable as M
import qualified Data.Vector.Generic as G
import qualified Data.Vector.Unboxed.Base as U
import Linear.Epsilon
import Linear.Metric
import Linear.V2
import Linear.V3
import Linear.Vector
{-# ANN module "HLint: ignore Reduce duplication" #-}
-- | A 4-dimensional vector.
data V4 a = V4 !a !a !a !a deriving (Eq,Ord,Show,Read,Data,Typeable
#if defined(__GLASGOW_HASKELL__) && __GLASGOW_HASKELL__ >= 702
,Generic
#endif
#if defined(__GLASGOW_HASKELL__) && __GLASGOW_HASKELL__ >= 706
,Generic1
#endif
)
instance Functor V4 where
fmap f (V4 a b c d) = V4 (f a) (f b) (f c) (f d)
{-# INLINE fmap #-}
a <$ _ = V4 a a a a
{-# INLINE (<$) #-}
instance Foldable V4 where
foldMap f (V4 a b c d) = f a `mappend` f b `mappend` f c `mappend` f d
{-# INLINE foldMap #-}
instance Traversable V4 where
traverse f (V4 a b c d) = V4 <$> f a <*> f b <*> f c <*> f d
{-# INLINE traverse #-}
instance Foldable1 V4 where
foldMap1 f (V4 a b c d) = f a <> f b <> f c <> f d
{-# INLINE foldMap1 #-}
instance Traversable1 V4 where
traverse1 f (V4 a b c d) = V4 <$> f a <.> f b <.> f c <.> f d
{-# INLINE traverse1 #-}
instance Applicative V4 where
pure a = V4 a a a a
{-# INLINE pure #-}
V4 a b c d <*> V4 e f g h = V4 (a e) (b f) (c g) (d h)
{-# INLINE (<*>) #-}
instance Apply V4 where
V4 a b c d <.> V4 e f g h = V4 (a e) (b f) (c g) (d h)
{-# INLINE (<.>) #-}
instance Additive V4 where
zero = pure 0
{-# INLINE zero #-}
liftU2 = liftA2
{-# INLINE liftU2 #-}
liftI2 = liftA2
{-# INLINE liftI2 #-}
instance Bind V4 where
V4 a b c d >>- f = V4 a' b' c' d' where
V4 a' _ _ _ = f a
V4 _ b' _ _ = f b
V4 _ _ c' _ = f c
V4 _ _ _ d' = f d
{-# INLINE (>>-) #-}
instance Monad V4 where
return a = V4 a a a a
{-# INLINE return #-}
V4 a b c d >>= f = V4 a' b' c' d' where
V4 a' _ _ _ = f a
V4 _ b' _ _ = f b
V4 _ _ c' _ = f c
V4 _ _ _ d' = f d
{-# INLINE (>>=) #-}
instance Num a => Num (V4 a) where
(+) = liftA2 (+)
{-# INLINE (+) #-}
(*) = liftA2 (*)
{-# INLINE (-) #-}
(-) = liftA2 (-)
{-# INLINE (*) #-}
negate = fmap negate
{-# INLINE negate #-}
abs = fmap abs
{-# INLINE abs #-}
signum = fmap signum
{-# INLINE signum #-}
fromInteger = pure . fromInteger
{-# INLINE fromInteger #-}
instance Fractional a => Fractional (V4 a) where
recip = fmap recip
{-# INLINE recip #-}
(/) = liftA2 (/)
{-# INLINE (/) #-}
fromRational = pure . fromRational
{-# INLINE fromRational #-}
instance Floating a => Floating (V4 a) where
pi = pure pi
{-# INLINE pi #-}
exp = fmap exp
{-# INLINE exp #-}
sqrt = fmap sqrt
{-# INLINE sqrt #-}
log = fmap log
{-# INLINE log #-}
(**) = liftA2 (**)
{-# INLINE (**) #-}
logBase = liftA2 logBase
{-# INLINE logBase #-}
sin = fmap sin
{-# INLINE sin #-}
tan = fmap tan
{-# INLINE tan #-}
cos = fmap cos
{-# INLINE cos #-}
asin = fmap asin
{-# INLINE asin #-}
atan = fmap atan
{-# INLINE atan #-}
acos = fmap acos
{-# INLINE acos #-}
sinh = fmap sinh
{-# INLINE sinh #-}
tanh = fmap tanh
{-# INLINE tanh #-}
cosh = fmap cosh
{-# INLINE cosh #-}
asinh = fmap asinh
{-# INLINE asinh #-}
atanh = fmap atanh
{-# INLINE atanh #-}
acosh = fmap acosh
{-# INLINE acosh #-}
instance Metric V4 where
dot (V4 a b c d) (V4 e f g h) = a * e + b * f + c * g + d * h
{-# INLINE dot #-}
instance Distributive V4 where
distribute f = V4 (fmap (\(V4 x _ _ _) -> x) f)
(fmap (\(V4 _ y _ _) -> y) f)
(fmap (\(V4 _ _ z _) -> z) f)
(fmap (\(V4 _ _ _ w) -> w) f)
{-# INLINE distribute #-}
instance Hashable a => Hashable (V4 a) where
hashWithSalt s (V4 a b c d) = s `hashWithSalt` a `hashWithSalt` b `hashWithSalt` c `hashWithSalt` d
{-# INLINE hashWithSalt #-}
-- | A space that distinguishes orthogonal basis vectors '_x', '_y', '_z', '_w'. (It may have more.)
class R3 t => R4 t where
-- |
-- >>> V4 1 2 3 4 ^._w
-- 4
_w :: Lens' (t a) a
_xyzw :: Lens' (t a) (V4 a)
_xw, _yw, _zw, _wx, _wy, _wz :: R4 t => Lens' (t a) (V2 a)
_xw f = _xyzw $ \(V4 a b c d) -> f (V2 a d) <&> \(V2 a' d') -> V4 a' b c d'
{-# INLINE _xw #-}
_yw f = _xyzw $ \(V4 a b c d) -> f (V2 b d) <&> \(V2 b' d') -> V4 a b' c d'
{-# INLINE _yw #-}
_zw f = _xyzw $ \(V4 a b c d) -> f (V2 c d) <&> \(V2 c' d') -> V4 a b c' d'
{-# INLINE _zw #-}
_wx f = _xyzw $ \(V4 a b c d) -> f (V2 d a) <&> \(V2 d' a') -> V4 a' b c d'
{-# INLINE _wx #-}
_wy f = _xyzw $ \(V4 a b c d) -> f (V2 d b) <&> \(V2 d' b') -> V4 a b' c d'
{-# INLINE _wy #-}
_wz f = _xyzw $ \(V4 a b c d) -> f (V2 d c) <&> \(V2 d' c') -> V4 a b c' d'
{-# INLINE _wz #-}
_xyw, _xzw, _xwy, _xwz, _yxw, _yzw, _ywx, _ywz, _zxw, _zyw, _zwx, _zwy, _wxy, _wxz, _wyx, _wyz, _wzx, _wzy :: R4 t => Lens' (t a) (V3 a)
_xyw f = _xyzw $ \(V4 a b c d) -> f (V3 a b d) <&> \(V3 a' b' d') -> V4 a' b' c d'
{-# INLINE _xyw #-}
_xzw f = _xyzw $ \(V4 a b c d) -> f (V3 a c d) <&> \(V3 a' c' d') -> V4 a' b c' d'
{-# INLINE _xzw #-}
_xwy f = _xyzw $ \(V4 a b c d) -> f (V3 a d b) <&> \(V3 a' d' b') -> V4 a' b' c d'
{-# INLINE _xwy #-}
_xwz f = _xyzw $ \(V4 a b c d) -> f (V3 a d c) <&> \(V3 a' d' c') -> V4 a' b c' d'
{-# INLINE _xwz #-}
_yxw f = _xyzw $ \(V4 a b c d) -> f (V3 b a d) <&> \(V3 b' a' d') -> V4 a' b' c d'
{-# INLINE _yxw #-}
_yzw f = _xyzw $ \(V4 a b c d) -> f (V3 b c d) <&> \(V3 b' c' d') -> V4 a b' c' d'
{-# INLINE _yzw #-}
_ywx f = _xyzw $ \(V4 a b c d) -> f (V3 b d a) <&> \(V3 b' d' a') -> V4 a' b' c d'
{-# INLINE _ywx #-}
_ywz f = _xyzw $ \(V4 a b c d) -> f (V3 b d c) <&> \(V3 b' d' c') -> V4 a b' c' d'
{-# INLINE _ywz #-}
_zxw f = _xyzw $ \(V4 a b c d) -> f (V3 c a d) <&> \(V3 c' a' d') -> V4 a' b c' d'
{-# INLINE _zxw #-}
_zyw f = _xyzw $ \(V4 a b c d) -> f (V3 c b d) <&> \(V3 c' b' d') -> V4 a b' c' d'
{-# INLINE _zyw #-}
_zwx f = _xyzw $ \(V4 a b c d) -> f (V3 c d a) <&> \(V3 c' d' a') -> V4 a' b c' d'
{-# INLINE _zwx #-}
_zwy f = _xyzw $ \(V4 a b c d) -> f (V3 c d b) <&> \(V3 c' d' b') -> V4 a b' c' d'
{-# INLINE _zwy #-}
_wxy f = _xyzw $ \(V4 a b c d) -> f (V3 d a b) <&> \(V3 d' a' b') -> V4 a' b' c d'
{-# INLINE _wxy #-}
_wxz f = _xyzw $ \(V4 a b c d) -> f (V3 d a c) <&> \(V3 d' a' c') -> V4 a' b c' d'
{-# INLINE _wxz #-}
_wyx f = _xyzw $ \(V4 a b c d) -> f (V3 d b a) <&> \(V3 d' b' a') -> V4 a' b' c d'
{-# INLINE _wyx #-}
_wyz f = _xyzw $ \(V4 a b c d) -> f (V3 d b c) <&> \(V3 d' b' c') -> V4 a b' c' d'
{-# INLINE _wyz #-}
_wzx f = _xyzw $ \(V4 a b c d) -> f (V3 d c a) <&> \(V3 d' c' a') -> V4 a' b c' d'
{-# INLINE _wzx #-}
_wzy f = _xyzw $ \(V4 a b c d) -> f (V3 d c b) <&> \(V3 d' c' b') -> V4 a b' c' d'
{-# INLINE _wzy #-}
_xywz, _xzyw, _xzwy, _xwyz, _xwzy, _yxzw , _yxwz, _yzxw, _yzwx, _ywxz
, _ywzx, _zxyw, _zxwy, _zyxw, _zywx, _zwxy, _zwyx, _wxyz, _wxzy, _wyxz
, _wyzx, _wzxy, _wzyx :: R4 t => Lens' (t a) (V4 a)
_xywz f = _xyzw $ \(V4 a b c d) -> f (V4 a b d c) <&> \(V4 a' b' d' c') -> V4 a' b' c' d'
{-# INLINE _xywz #-}
_xzyw f = _xyzw $ \(V4 a b c d) -> f (V4 a c b d) <&> \(V4 a' c' b' d') -> V4 a' b' c' d'
{-# INLINE _xzyw #-}
_xzwy f = _xyzw $ \(V4 a b c d) -> f (V4 a c d b) <&> \(V4 a' c' d' b') -> V4 a' b' c' d'
{-# INLINE _xzwy #-}
_xwyz f = _xyzw $ \(V4 a b c d) -> f (V4 a d b c) <&> \(V4 a' d' b' c') -> V4 a' b' c' d'
{-# INLINE _xwyz #-}
_xwzy f = _xyzw $ \(V4 a b c d) -> f (V4 a d c b) <&> \(V4 a' d' c' b') -> V4 a' b' c' d'
{-# INLINE _xwzy #-}
_yxzw f = _xyzw $ \(V4 a b c d) -> f (V4 b a c d) <&> \(V4 b' a' c' d') -> V4 a' b' c' d'
{-# INLINE _yxzw #-}
_yxwz f = _xyzw $ \(V4 a b c d) -> f (V4 b a d c) <&> \(V4 b' a' d' c') -> V4 a' b' c' d'
{-# INLINE _yxwz #-}
_yzxw f = _xyzw $ \(V4 a b c d) -> f (V4 b c a d) <&> \(V4 b' c' a' d') -> V4 a' b' c' d'
{-# INLINE _yzxw #-}
_yzwx f = _xyzw $ \(V4 a b c d) -> f (V4 b c d a) <&> \(V4 b' c' d' a') -> V4 a' b' c' d'
{-# INLINE _yzwx #-}
_ywxz f = _xyzw $ \(V4 a b c d) -> f (V4 b d a c) <&> \(V4 b' d' a' c') -> V4 a' b' c' d'
{-# INLINE _ywxz #-}
_ywzx f = _xyzw $ \(V4 a b c d) -> f (V4 b d c a) <&> \(V4 b' d' c' a') -> V4 a' b' c' d'
{-# INLINE _ywzx #-}
_zxyw f = _xyzw $ \(V4 a b c d) -> f (V4 c a b d) <&> \(V4 c' a' b' d') -> V4 a' b' c' d'
{-# INLINE _zxyw #-}
_zxwy f = _xyzw $ \(V4 a b c d) -> f (V4 c a d b) <&> \(V4 c' a' d' b') -> V4 a' b' c' d'
{-# INLINE _zxwy #-}
_zyxw f = _xyzw $ \(V4 a b c d) -> f (V4 c b a d) <&> \(V4 c' b' a' d') -> V4 a' b' c' d'
{-# INLINE _zyxw #-}
_zywx f = _xyzw $ \(V4 a b c d) -> f (V4 c b d a) <&> \(V4 c' b' d' a') -> V4 a' b' c' d'
{-# INLINE _zywx #-}
_zwxy f = _xyzw $ \(V4 a b c d) -> f (V4 c d a b) <&> \(V4 c' d' a' b') -> V4 a' b' c' d'
{-# INLINE _zwxy #-}
_zwyx f = _xyzw $ \(V4 a b c d) -> f (V4 c d b a) <&> \(V4 c' d' b' a') -> V4 a' b' c' d'
{-# INLINE _zwyx #-}
_wxyz f = _xyzw $ \(V4 a b c d) -> f (V4 d a b c) <&> \(V4 d' a' b' c') -> V4 a' b' c' d'
{-# INLINE _wxyz #-}
_wxzy f = _xyzw $ \(V4 a b c d) -> f (V4 d a c b) <&> \(V4 d' a' c' b') -> V4 a' b' c' d'
{-# INLINE _wxzy #-}
_wyxz f = _xyzw $ \(V4 a b c d) -> f (V4 d b a c) <&> \(V4 d' b' a' c') -> V4 a' b' c' d'
{-# INLINE _wyxz #-}
_wyzx f = _xyzw $ \(V4 a b c d) -> f (V4 d b c a) <&> \(V4 d' b' c' a') -> V4 a' b' c' d'
{-# INLINE _wyzx #-}
_wzxy f = _xyzw $ \(V4 a b c d) -> f (V4 d c a b) <&> \(V4 d' c' a' b') -> V4 a' b' c' d'
{-# INLINE _wzxy #-}
_wzyx f = _xyzw $ \(V4 a b c d) -> f (V4 d c b a) <&> \(V4 d' c' b' a') -> V4 a' b' c' d'
{-# INLINE _wzyx #-}
ew :: R4 t => E t
ew = E _w
instance R1 V4 where
_x f (V4 a b c d) = (\a' -> V4 a' b c d) <$> f a
{-# INLINE _x #-}
instance R2 V4 where
_y f (V4 a b c d) = (\b' -> V4 a b' c d) <$> f b
{-# INLINE _y #-}
_xy f (V4 a b c d) = (\(V2 a' b') -> V4 a' b' c d) <$> f (V2 a b)
{-# INLINE _xy #-}
instance R3 V4 where
_z f (V4 a b c d) = (\c' -> V4 a b c' d) <$> f c
{-# INLINE _z #-}
_xyz f (V4 a b c d) = (\(V3 a' b' c') -> V4 a' b' c' d) <$> f (V3 a b c)
{-# INLINE _xyz #-}
instance R4 V4 where
_w f (V4 a b c d) = V4 a b c <$> f d
{-# INLINE _w #-}
_xyzw = id
{-# INLINE _xyzw #-}
instance Storable a => Storable (V4 a) where
sizeOf _ = 4 * sizeOf (undefined::a)
{-# INLINE sizeOf #-}
alignment _ = alignment (undefined::a)
{-# INLINE alignment #-}
poke ptr (V4 x y z w) = do poke ptr' x
pokeElemOff ptr' 1 y
pokeElemOff ptr' 2 z
pokeElemOff ptr' 3 w
where ptr' = castPtr ptr
{-# INLINE poke #-}
peek ptr = V4 <$> peek ptr' <*> peekElemOff ptr' 1
<*> peekElemOff ptr' 2 <*> peekElemOff ptr' 3
where ptr' = castPtr ptr
{-# INLINE peek #-}
-- | Convert a 3-dimensional affine vector into a 4-dimensional homogeneous vector.
vector :: Num a => V3 a -> V4 a
vector (V3 a b c) = V4 a b c 0
{-# INLINE vector #-}
-- | Convert a 3-dimensional affine point into a 4-dimensional homogeneous vector.
point :: Num a => V3 a -> V4 a
point (V3 a b c) = V4 a b c 1
{-# INLINE point #-}
-- | Convert 4-dimensional projective coordinates to a 3-dimensional
-- point. This operation may be denoted, @euclidean [x:y:z:w] = (x\/w,
-- y\/w, z\/w)@ where the projective, homogenous, coordinate
-- @[x:y:z:w]@ is one of many associated with a single point @(x\/w,
-- y\/w, z\/w)@.
normalizePoint :: Fractional a => V4 a -> V3 a
normalizePoint (V4 a b c w) = (1/w) *^ V3 a b c
{-# INLINE normalizePoint #-}
instance Epsilon a => Epsilon (V4 a) where
nearZero = nearZero . quadrance
{-# INLINE nearZero #-}
instance Ix a => Ix (V4 a) where
{-# SPECIALISE instance Ix (V4 Int) #-}
range (V4 l1 l2 l3 l4,V4 u1 u2 u3 u4) =
[V4 i1 i2 i3 i4 | i1 <- range (l1,u1)
, i2 <- range (l2,u2)
, i3 <- range (l3,u3)
, i4 <- range (l4,u4)
]
{-# INLINE range #-}
unsafeIndex (V4 l1 l2 l3 l4,V4 u1 u2 u3 u4) (V4 i1 i2 i3 i4) =
unsafeIndex (l4,u4) i4 + unsafeRangeSize (l4,u4) * (
unsafeIndex (l3,u3) i3 + unsafeRangeSize (l3,u3) * (
unsafeIndex (l2,u2) i2 + unsafeRangeSize (l2,u2) *
unsafeIndex (l1,u1) i1))
{-# INLINE unsafeIndex #-}
inRange (V4 l1 l2 l3 l4,V4 u1 u2 u3 u4) (V4 i1 i2 i3 i4) =
inRange (l1,u1) i1 && inRange (l2,u2) i2 &&
inRange (l3,u3) i3 && inRange (l4,u4) i4
{-# INLINE inRange #-}
instance Representable V4 where
type Rep V4 = E V4
tabulate f = V4 (f ex) (f ey) (f ez) (f ew)
{-# INLINE tabulate #-}
index xs (E l) = view l xs
{-# INLINE index #-}
instance FunctorWithIndex (E V4) V4 where
imap f (V4 a b c d) = V4 (f ex a) (f ey b) (f ez c) (f ew d)
{-# INLINE imap #-}
instance FoldableWithIndex (E V4) V4 where
ifoldMap f (V4 a b c d) = f ex a `mappend` f ey b `mappend` f ez c `mappend` f ew d
{-# INLINE ifoldMap #-}
instance TraversableWithIndex (E V4) V4 where
itraverse f (V4 a b c d) = V4 <$> f ex a <*> f ey b <*> f ez c <*> f ew d
{-# INLINE itraverse #-}
type instance Index (V4 a) = E V4
type instance IxValue (V4 a) = a
instance Ixed (V4 a) where
ix = el
instance Each (V4 a) (V4 b) a b where
each = traverse
data instance U.Vector (V4 a) = V_V4 !Int (U.Vector a)
data instance U.MVector s (V4 a) = MV_V4 !Int (U.MVector s a)
instance U.Unbox a => U.Unbox (V4 a)
instance U.Unbox a => M.MVector U.MVector (V4 a) where
basicLength (MV_V4 n _) = n
basicUnsafeSlice m n (MV_V4 _ v) = MV_V4 n (M.basicUnsafeSlice (4*m) (4*n) v)
basicOverlaps (MV_V4 _ v) (MV_V4 _ u) = M.basicOverlaps v u
basicUnsafeNew n = liftM (MV_V4 n) (M.basicUnsafeNew (4*n))
basicUnsafeRead (MV_V4 _ v) i =
do let o = 4*i
x <- M.basicUnsafeRead v o
y <- M.basicUnsafeRead v (o+1)
z <- M.basicUnsafeRead v (o+2)
w <- M.basicUnsafeRead v (o+3)
return (V4 x y z w)
basicUnsafeWrite (MV_V4 _ v) i (V4 x y z w) =
do let o = 4*i
M.basicUnsafeWrite v o x
M.basicUnsafeWrite v (o+1) y
M.basicUnsafeWrite v (o+2) z
M.basicUnsafeWrite v (o+3) w
instance U.Unbox a => G.Vector U.Vector (V4 a) where
basicUnsafeFreeze (MV_V4 n v) = liftM ( V_V4 n) (G.basicUnsafeFreeze v)
basicUnsafeThaw ( V_V4 n v) = liftM (MV_V4 n) (G.basicUnsafeThaw v)
basicLength ( V_V4 n _) = n
basicUnsafeSlice m n (V_V4 _ v) = V_V4 n (G.basicUnsafeSlice (4*m) (4*n) v)
basicUnsafeIndexM (V_V4 _ v) i =
do let o = 4*i
x <- G.basicUnsafeIndexM v o
y <- G.basicUnsafeIndexM v (o+1)
z <- G.basicUnsafeIndexM v (o+2)
w <- G.basicUnsafeIndexM v (o+3)
return (V4 x y z w)
instance MonadZip V4 where
mzipWith = liftA2
instance MonadFix V4 where
mfix f = V4 (let V4 a _ _ _ = f a in a)
(let V4 _ a _ _ = f a in a)
(let V4 _ _ a _ = f a in a)
(let V4 _ _ _ a = f a in a)
instance Bounded a => Bounded (V4 a) where
minBound = pure minBound
{-# INLINE minBound #-}
maxBound = pure maxBound
{-# INLINE maxBound #-}
instance NFData a => NFData (V4 a) where
rnf (V4 a b c d) = rnf a `seq` rnf b `seq` rnf c `seq` rnf d
instance Serial1 V4 where
serializeWith = traverse_
deserializeWith k = V4 <$> k <*> k <*> k <*> k
instance Serial a => Serial (V4 a) where
serialize = serializeWith serialize
deserialize = deserializeWith deserialize
instance Binary a => Binary (V4 a) where
put = serializeWith Binary.put
get = deserializeWith Binary.get
instance Serialize a => Serialize (V4 a) where
put = serializeWith Cereal.put
get = deserializeWith Cereal.get
instance Eq1 V4 where eq1 = (==)
instance Ord1 V4 where compare1 = compare
instance Show1 V4 where showsPrec1 = showsPrec
instance Read1 V4 where readsPrec1 = readsPrec