summaryrefslogtreecommitdiff
path: root/packages/base/src/Internal/Vectorized.hs
blob: 03bcf904254ea845a838010ee82f25fc0ede791f (plain)
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
{-# LANGUAGE TypeOperators #-}
{-# LANGUAGE TypeFamilies #-}

-----------------------------------------------------------------------------
-- |
-- Module      :  Numeric.Vectorized
-- Copyright   :  (c) Alberto Ruiz 2007-15
-- License     :  BSD3
-- Maintainer  :  Alberto Ruiz
-- Stability   :  provisional
--
-- Low level interface to vector operations.
--
-----------------------------------------------------------------------------

module Internal.Vectorized where

import Internal.Vector
import Internal.Devel
import Data.Complex
import Foreign.Marshal.Alloc(free,malloc)
import Foreign.Marshal.Array(newArray,copyArray)
import Foreign.Ptr(Ptr)
import Foreign.Storable(peek,Storable)
import Foreign.C.Types
import Foreign.C.String
import System.IO.Unsafe(unsafePerformIO)
import Control.Monad(when)

infixl 1 #
a # b = applyRaw a b
{-# INLINE (#) #-}

fromei x = fromIntegral (fromEnum x) :: CInt

data FunCodeV = Sin
              | Cos
              | Tan
              | Abs
              | ASin
              | ACos
              | ATan
              | Sinh
              | Cosh
              | Tanh
              | ASinh
              | ACosh
              | ATanh
              | Exp
              | Log
              | Sign
              | Sqrt
              deriving Enum

data FunCodeSV = Scale
               | Recip
               | AddConstant
               | Negate
               | PowSV
               | PowVS
               | ModSV
               | ModVS
               deriving Enum

data FunCodeVV = Add
               | Sub
               | Mul
               | Div
               | Pow
               | ATan2
               | Mod
               deriving Enum

data FunCodeS = Norm2
              | AbsSum
              | MaxIdx
              | Max
              | MinIdx
              | Min
              deriving Enum

------------------------------------------------------------------

-- | sum of elements
sumF :: Vector Float -> Float
sumF = sumg c_sumF

-- | sum of elements
sumR :: Vector Double -> Double
sumR = sumg c_sumR

-- | sum of elements
sumQ :: Vector (Complex Float) -> Complex Float
sumQ = sumg c_sumQ

-- | sum of elements
sumC :: Vector (Complex Double) -> Complex Double
sumC = sumg c_sumC

sumI m = sumg (c_sumI m)

sumL m = sumg (c_sumL m)

sumg f x = unsafePerformIO $ do
    r <- createVector 1
    f # x # r #| "sum"
    return $ r @> 0

type TVV t = t :> t :> Ok

foreign import ccall unsafe "sumF" c_sumF :: TVV Float
foreign import ccall unsafe "sumR" c_sumR :: TVV Double
foreign import ccall unsafe "sumQ" c_sumQ :: TVV (Complex Float)
foreign import ccall unsafe "sumC" c_sumC :: TVV (Complex Double)
foreign import ccall unsafe "sumI" c_sumI :: I -> TVV I
foreign import ccall unsafe "sumL" c_sumL :: Z -> TVV Z

-- | product of elements
prodF :: Vector Float -> Float
prodF = prodg c_prodF

-- | product of elements
prodR :: Vector Double -> Double
prodR = prodg c_prodR

-- | product of elements
prodQ :: Vector (Complex Float) -> Complex Float
prodQ = prodg c_prodQ

-- | product of elements
prodC :: Vector (Complex Double) -> Complex Double
prodC = prodg c_prodC

prodI :: I-> Vector I -> I
prodI = prodg . c_prodI

prodL :: Z-> Vector Z -> Z
prodL = prodg . c_prodL

prodg f x = unsafePerformIO $ do
    r <- createVector 1
    f # x # r #| "prod"
    return $ r @> 0


foreign import ccall unsafe "prodF" c_prodF :: TVV Float
foreign import ccall unsafe "prodR" c_prodR :: TVV Double
foreign import ccall unsafe "prodQ" c_prodQ :: TVV (Complex Float)
foreign import ccall unsafe "prodC" c_prodC :: TVV (Complex Double)
foreign import ccall unsafe "prodI" c_prodI :: I -> TVV I
foreign import ccall unsafe "prodL" c_prodL :: Z -> TVV Z

------------------------------------------------------------------

toScalarAux fun code v = unsafePerformIO $ do
    r <- createVector 1
    fun (fromei code) # v # r #|"toScalarAux"
    return (r @> 0)

vectorMapAux fun code v = unsafePerformIO $ do
    r <- createVector (dim v)
    fun (fromei code) # v # r #|"vectorMapAux"
    return r

vectorMapValAux fun code val v = unsafePerformIO $ do
    r <- createVector (dim v)
    pval <- newArray [val]
    fun (fromei code) pval # v # r #|"vectorMapValAux"
    free pval
    return r

vectorZipAux fun code u v = unsafePerformIO $ do
    r <- createVector (dim u)
    fun (fromei code) # u # v # r #|"vectorZipAux"
    return r

---------------------------------------------------------------------

-- | obtains different functions of a vector: norm1, norm2, max, min, posmax, posmin, etc.
toScalarR :: FunCodeS -> Vector Double -> Double
toScalarR oper =  toScalarAux c_toScalarR (fromei oper)

foreign import ccall unsafe "toScalarR" c_toScalarR :: CInt -> TVV Double

-- | obtains different functions of a vector: norm1, norm2, max, min, posmax, posmin, etc.
toScalarF :: FunCodeS -> Vector Float -> Float
toScalarF oper =  toScalarAux c_toScalarF (fromei oper)

foreign import ccall unsafe "toScalarF" c_toScalarF :: CInt -> TVV Float

-- | obtains different functions of a vector: only norm1, norm2
toScalarC :: FunCodeS -> Vector (Complex Double) -> Double
toScalarC oper =  toScalarAux c_toScalarC (fromei oper)

foreign import ccall unsafe "toScalarC" c_toScalarC :: CInt -> Complex Double :> Double :> Ok

-- | obtains different functions of a vector: only norm1, norm2
toScalarQ :: FunCodeS -> Vector (Complex Float) -> Float
toScalarQ oper =  toScalarAux c_toScalarQ (fromei oper)

foreign import ccall unsafe "toScalarQ" c_toScalarQ :: CInt -> Complex Float :> Float :> Ok

-- | obtains different functions of a vector: norm1, norm2, max, min, posmax, posmin, etc.
toScalarI :: FunCodeS -> Vector CInt -> CInt
toScalarI oper =  toScalarAux c_toScalarI (fromei oper)

foreign import ccall unsafe "toScalarI" c_toScalarI :: CInt -> TVV CInt

-- | obtains different functions of a vector: norm1, norm2, max, min, posmax, posmin, etc.
toScalarL :: FunCodeS -> Vector Z -> Z
toScalarL oper =  toScalarAux c_toScalarL (fromei oper)

foreign import ccall unsafe "toScalarL" c_toScalarL :: CInt -> TVV Z


------------------------------------------------------------------

-- | map of real vectors with given function
vectorMapR :: FunCodeV -> Vector Double -> Vector Double
vectorMapR = vectorMapAux c_vectorMapR

foreign import ccall unsafe "mapR" c_vectorMapR :: CInt -> TVV Double

-- | map of complex vectors with given function
vectorMapC :: FunCodeV -> Vector (Complex Double) -> Vector (Complex Double)
vectorMapC oper = vectorMapAux c_vectorMapC (fromei oper)

foreign import ccall unsafe "mapC" c_vectorMapC :: CInt -> TVV (Complex Double)

-- | map of real vectors with given function
vectorMapF :: FunCodeV -> Vector Float -> Vector Float
vectorMapF = vectorMapAux c_vectorMapF

foreign import ccall unsafe "mapF" c_vectorMapF :: CInt -> TVV Float

-- | map of real vectors with given function
vectorMapQ :: FunCodeV -> Vector (Complex Float) -> Vector (Complex Float)
vectorMapQ = vectorMapAux c_vectorMapQ

foreign import ccall unsafe "mapQ" c_vectorMapQ :: CInt -> TVV (Complex Float)

-- | map of real vectors with given function
vectorMapI :: FunCodeV -> Vector CInt -> Vector CInt
vectorMapI = vectorMapAux c_vectorMapI

foreign import ccall unsafe "mapI" c_vectorMapI :: CInt -> TVV CInt

-- | map of real vectors with given function
vectorMapL :: FunCodeV -> Vector Z -> Vector Z
vectorMapL = vectorMapAux c_vectorMapL

foreign import ccall unsafe "mapL" c_vectorMapL :: CInt -> TVV Z

-------------------------------------------------------------------

-- | map of real vectors with given function
vectorMapValR :: FunCodeSV -> Double -> Vector Double -> Vector Double
vectorMapValR oper = vectorMapValAux c_vectorMapValR (fromei oper)

foreign import ccall unsafe "mapValR" c_vectorMapValR :: CInt -> Ptr Double -> TVV Double

-- | map of complex vectors with given function
vectorMapValC :: FunCodeSV -> Complex Double -> Vector (Complex Double) -> Vector (Complex Double)
vectorMapValC = vectorMapValAux c_vectorMapValC

foreign import ccall unsafe "mapValC" c_vectorMapValC :: CInt -> Ptr (Complex Double) -> TVV (Complex Double)

-- | map of real vectors with given function
vectorMapValF :: FunCodeSV -> Float -> Vector Float -> Vector Float
vectorMapValF oper = vectorMapValAux c_vectorMapValF (fromei oper)

foreign import ccall unsafe "mapValF" c_vectorMapValF :: CInt -> Ptr Float -> TVV Float

-- | map of complex vectors with given function
vectorMapValQ :: FunCodeSV -> Complex Float -> Vector (Complex Float) -> Vector (Complex Float)
vectorMapValQ oper = vectorMapValAux c_vectorMapValQ (fromei oper)

foreign import ccall unsafe "mapValQ" c_vectorMapValQ :: CInt -> Ptr (Complex Float) -> TVV (Complex Float)

-- | map of real vectors with given function
vectorMapValI :: FunCodeSV -> CInt -> Vector CInt -> Vector CInt
vectorMapValI oper = vectorMapValAux c_vectorMapValI (fromei oper)

foreign import ccall unsafe "mapValI" c_vectorMapValI :: CInt -> Ptr CInt -> TVV CInt

-- | map of real vectors with given function
vectorMapValL :: FunCodeSV -> Z -> Vector Z -> Vector Z
vectorMapValL oper = vectorMapValAux c_vectorMapValL (fromei oper)

foreign import ccall unsafe "mapValL" c_vectorMapValL :: CInt -> Ptr Z -> TVV Z


-------------------------------------------------------------------

type TVVV t = t :> t :> t :> Ok

-- | elementwise operation on real vectors
vectorZipR :: FunCodeVV -> Vector Double -> Vector Double -> Vector Double
vectorZipR = vectorZipAux c_vectorZipR

foreign import ccall unsafe "zipR" c_vectorZipR :: CInt -> TVVV Double

-- | elementwise operation on complex vectors
vectorZipC :: FunCodeVV -> Vector (Complex Double) -> Vector (Complex Double) -> Vector (Complex Double)
vectorZipC = vectorZipAux c_vectorZipC

foreign import ccall unsafe "zipC" c_vectorZipC :: CInt -> TVVV (Complex Double)

-- | elementwise operation on real vectors
vectorZipF :: FunCodeVV -> Vector Float -> Vector Float -> Vector Float
vectorZipF = vectorZipAux c_vectorZipF

foreign import ccall unsafe "zipF" c_vectorZipF :: CInt -> TVVV Float

-- | elementwise operation on complex vectors
vectorZipQ :: FunCodeVV -> Vector (Complex Float) -> Vector (Complex Float) -> Vector (Complex Float)
vectorZipQ = vectorZipAux c_vectorZipQ

foreign import ccall unsafe "zipQ" c_vectorZipQ :: CInt -> TVVV (Complex Float)

-- | elementwise operation on CInt vectors
vectorZipI :: FunCodeVV -> Vector CInt -> Vector CInt -> Vector CInt
vectorZipI = vectorZipAux c_vectorZipI

foreign import ccall unsafe "zipI" c_vectorZipI :: CInt -> TVVV CInt

-- | elementwise operation on CInt vectors
vectorZipL :: FunCodeVV -> Vector Z -> Vector Z -> Vector Z
vectorZipL = vectorZipAux c_vectorZipL

foreign import ccall unsafe "zipL" c_vectorZipL :: CInt -> TVVV Z

--------------------------------------------------------------------------------

foreign import ccall unsafe "vectorScan" c_vectorScan
    :: CString -> Ptr CInt -> Ptr (Ptr Double) -> IO CInt

vectorScan :: FilePath -> IO (Vector Double)
vectorScan s = do
    pp <- malloc
    pn <- malloc
    cs <- newCString s
    ok <- c_vectorScan cs pn pp
    when (not (ok == 0)) $
        error ("vectorScan: file \"" ++ s ++"\" not found")
    n <- fromIntegral <$> peek pn
    p <- peek pp
    v <- createVector n
    free pn
    free cs
    unsafeWith v $ \pv -> copyArray pv p n
    free p
    free pp
    return v

--------------------------------------------------------------------------------

type Seed = Int

data RandDist = Uniform  -- ^ uniform distribution in [0,1)
              | Gaussian -- ^ normal distribution with mean zero and standard deviation one
              deriving Enum

-- | Obtains a vector of pseudorandom elements (use randomIO to get a random seed).
randomVector :: Seed
             -> RandDist -- ^ distribution
             -> Int      -- ^ vector size
             -> Vector Double
randomVector seed dist n = unsafePerformIO $ do
    r <- createVector n
    c_random_vector (fi seed) ((fi.fromEnum) dist) # r #|"randomVector"
    return r

foreign import ccall unsafe "random_vector" c_random_vector :: CInt -> CInt -> Double :> Ok

--------------------------------------------------------------------------------

roundVector v = unsafePerformIO $ do
    r <- createVector (dim v)
    c_round_vector # v # r #|"roundVector"
    return r

foreign import ccall unsafe "round_vector" c_round_vector :: TVV Double

--------------------------------------------------------------------------------

-- |
-- >>> range 5
-- fromList [0,1,2,3,4]
--
range :: Int -> Vector I
range n = unsafePerformIO $ do
    r <- createVector n
    c_range_vector # r #|"range"
    return r

foreign import ccall unsafe "range_vector" c_range_vector :: CInt :> Ok


float2DoubleV :: Vector Float -> Vector Double
float2DoubleV = tog c_float2double

double2FloatV :: Vector Double -> Vector Float
double2FloatV = tog c_double2float

double2IntV :: Vector Double -> Vector CInt
double2IntV = tog c_double2int

int2DoubleV :: Vector CInt -> Vector Double
int2DoubleV = tog c_int2double

double2longV :: Vector Double -> Vector Z
double2longV = tog c_double2long

long2DoubleV :: Vector Z -> Vector Double
long2DoubleV = tog c_long2double


float2IntV :: Vector Float -> Vector CInt
float2IntV = tog c_float2int

int2floatV :: Vector CInt -> Vector Float
int2floatV = tog c_int2float

int2longV :: Vector I -> Vector Z
int2longV = tog c_int2long

long2intV :: Vector Z -> Vector I
long2intV = tog c_long2int


tog f v = unsafePerformIO $ do
    r <- createVector (dim v)
    f # v # r #|"tog"
    return r

foreign import ccall unsafe "float2double" c_float2double :: Float :> Double :> Ok
foreign import ccall unsafe "double2float" c_double2float :: Double :> Float :> Ok
foreign import ccall unsafe "int2double"   c_int2double   :: CInt :> Double :> Ok
foreign import ccall unsafe "double2int"   c_double2int   :: Double :> CInt :> Ok
foreign import ccall unsafe "long2double"  c_long2double   :: Z :> Double :> Ok
foreign import ccall unsafe "double2long"  c_double2long   :: Double :> Z :> Ok
foreign import ccall unsafe "int2float"    c_int2float    :: CInt :> Float :> Ok
foreign import ccall unsafe "float2int"    c_float2int    :: Float :> CInt :> Ok
foreign import ccall unsafe "int2long"    c_int2long    :: I :> Z :> Ok
foreign import ccall unsafe "long2int"    c_long2int    :: Z :> I :> Ok


---------------------------------------------------------------

stepg f v = unsafePerformIO $ do
    r <- createVector (dim v)
    f # v # r #|"step"
    return r

stepD :: Vector Double -> Vector Double
stepD = stepg c_stepD

stepF :: Vector Float -> Vector Float
stepF = stepg c_stepF

stepI :: Vector CInt -> Vector CInt
stepI = stepg c_stepI

stepL :: Vector Z -> Vector Z
stepL = stepg c_stepL


foreign import ccall unsafe "stepF" c_stepF :: TVV Float
foreign import ccall unsafe "stepD" c_stepD :: TVV Double
foreign import ccall unsafe "stepI" c_stepI :: TVV CInt
foreign import ccall unsafe "stepL" c_stepL :: TVV Z

--------------------------------------------------------------------------------

conjugateAux fun x = unsafePerformIO $ do
    v <- createVector (dim x)
    fun # x # v #|"conjugateAux"
    return v

conjugateQ :: Vector (Complex Float) -> Vector (Complex Float)
conjugateQ = conjugateAux c_conjugateQ
foreign import ccall unsafe "conjugateQ" c_conjugateQ :: TVV (Complex Float)

conjugateC :: Vector (Complex Double) -> Vector (Complex Double)
conjugateC = conjugateAux c_conjugateC
foreign import ccall unsafe "conjugateC" c_conjugateC :: TVV (Complex Double)

--------------------------------------------------------------------------------

cloneVector :: Storable t => Vector t -> IO (Vector t)
cloneVector v = do
        let n = dim v
        r <- createVector n
        let f _ s _ d =  copyArray d s n >> return 0
        f # v # r #|"cloneVector"
        return r

--------------------------------------------------------------------------------

constantAux fun x n = unsafePerformIO $ do
    v <- createVector n
    px <- newArray [x]
    fun px # v #|"constantAux"
    free px
    return v

type TConst t = Ptr t -> t :> Ok

foreign import ccall unsafe "constantF" cconstantF :: TConst Float
foreign import ccall unsafe "constantR" cconstantR :: TConst Double
foreign import ccall unsafe "constantQ" cconstantQ :: TConst (Complex Float)
foreign import ccall unsafe "constantC" cconstantC :: TConst (Complex Double)
foreign import ccall unsafe "constantI" cconstantI :: TConst CInt
foreign import ccall unsafe "constantL" cconstantL :: TConst Z

----------------------------------------------------------------------