Source

pypy / pypy / module / micronumpy / types.py

   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
 568
 569
 570
 571
 572
 573
 574
 575
 576
 577
 578
 579
 580
 581
 582
 583
 584
 585
 586
 587
 588
 589
 590
 591
 592
 593
 594
 595
 596
 597
 598
 599
 600
 601
 602
 603
 604
 605
 606
 607
 608
 609
 610
 611
 612
 613
 614
 615
 616
 617
 618
 619
 620
 621
 622
 623
 624
 625
 626
 627
 628
 629
 630
 631
 632
 633
 634
 635
 636
 637
 638
 639
 640
 641
 642
 643
 644
 645
 646
 647
 648
 649
 650
 651
 652
 653
 654
 655
 656
 657
 658
 659
 660
 661
 662
 663
 664
 665
 666
 667
 668
 669
 670
 671
 672
 673
 674
 675
 676
 677
 678
 679
 680
 681
 682
 683
 684
 685
 686
 687
 688
 689
 690
 691
 692
 693
 694
 695
 696
 697
 698
 699
 700
 701
 702
 703
 704
 705
 706
 707
 708
 709
 710
 711
 712
 713
 714
 715
 716
 717
 718
 719
 720
 721
 722
 723
 724
 725
 726
 727
 728
 729
 730
 731
 732
 733
 734
 735
 736
 737
 738
 739
 740
 741
 742
 743
 744
 745
 746
 747
 748
 749
 750
 751
 752
 753
 754
 755
 756
 757
 758
 759
 760
 761
 762
 763
 764
 765
 766
 767
 768
 769
 770
 771
 772
 773
 774
 775
 776
 777
 778
 779
 780
 781
 782
 783
 784
 785
 786
 787
 788
 789
 790
 791
 792
 793
 794
 795
 796
 797
 798
 799
 800
 801
 802
 803
 804
 805
 806
 807
 808
 809
 810
 811
 812
 813
 814
 815
 816
 817
 818
 819
 820
 821
 822
 823
 824
 825
 826
 827
 828
 829
 830
 831
 832
 833
 834
 835
 836
 837
 838
 839
 840
 841
 842
 843
 844
 845
 846
 847
 848
 849
 850
 851
 852
 853
 854
 855
 856
 857
 858
 859
 860
 861
 862
 863
 864
 865
 866
 867
 868
 869
 870
 871
 872
 873
 874
 875
 876
 877
 878
 879
 880
 881
 882
 883
 884
 885
 886
 887
 888
 889
 890
 891
 892
 893
 894
 895
 896
 897
 898
 899
 900
 901
 902
 903
 904
 905
 906
 907
 908
 909
 910
 911
 912
 913
 914
 915
 916
 917
 918
 919
 920
 921
 922
 923
 924
 925
 926
 927
 928
 929
 930
 931
 932
 933
 934
 935
 936
 937
 938
 939
 940
 941
 942
 943
 944
 945
 946
 947
 948
 949
 950
 951
 952
 953
 954
 955
 956
 957
 958
 959
 960
 961
 962
 963
 964
 965
 966
 967
 968
 969
 970
 971
 972
 973
 974
 975
 976
 977
 978
 979
 980
 981
 982
 983
 984
 985
 986
 987
 988
 989
 990
 991
 992
 993
 994
 995
 996
 997
 998
 999
1000
1001
1002
1003
1004
1005
1006
1007
1008
1009
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
1029
1030
1031
1032
1033
1034
1035
1036
1037
1038
import functools
import math
import struct

from pypy.interpreter.error import OperationError
from pypy.module.micronumpy import interp_boxes
from pypy.objspace.std.floatobject import float2string
from pypy.rlib import rfloat, libffi, clibffi
from pypy.rlib.objectmodel import specialize, we_are_translated
from pypy.rlib.rarithmetic import widen, byteswap
from pypy.rpython.lltypesystem import lltype, rffi
from pypy.rlib.rstruct.runpack import runpack
from pypy.tool.sourcetools import func_with_new_name
from pypy.rlib import jit

VOID_STORAGE = lltype.Array(lltype.Char, hints={'nolength': True,
                                                'render_as_void': True})
degToRad = math.pi / 180.0
log2 = math.log(2)

def simple_unary_op(func):
    specialize.argtype(1)(func)
    @functools.wraps(func)
    def dispatcher(self, v):
        return self.box(
            func(
                self,
                self.for_computation(self.unbox(v))
            )
        )
    return dispatcher

def raw_unary_op(func):
    specialize.argtype(1)(func)
    @functools.wraps(func)
    def dispatcher(self, v):
        return func(
            self,
            self.for_computation(self.unbox(v))
        )
    return dispatcher

def simple_binary_op(func):
    specialize.argtype(1, 2)(func)
    @functools.wraps(func)
    def dispatcher(self, v1, v2):
        return self.box(
            func(
                self,
                self.for_computation(self.unbox(v1)),
                self.for_computation(self.unbox(v2)),
            )
        )
    return dispatcher

def raw_binary_op(func):
    specialize.argtype(1, 2)(func)
    @functools.wraps(func)
    def dispatcher(self, v1, v2):
        return func(self,
            self.for_computation(self.unbox(v1)),
            self.for_computation(self.unbox(v2))
        )
    return dispatcher

class BaseType(object):
    _attrs_ = ()
    
    def _unimplemented_ufunc(self, *args):
        raise NotImplementedError

    def malloc(self, size):
        # XXX find out why test_zjit explodes with tracking of allocations
        return lltype.malloc(VOID_STORAGE, size,
                             zero=True, flavor="raw",
                             track_allocation=False, add_memory_pressure=True)

    def __repr__(self):
        return self.__class__.__name__

class Primitive(object):
    _mixin_ = True

    def get_element_size(self):
        return rffi.sizeof(self.T)

    @specialize.argtype(1)
    def box(self, value):
        return self.BoxType(rffi.cast(self.T, value))

    def unbox(self, box):
        assert isinstance(box, self.BoxType)
        return box.value

    def coerce(self, space, dtype, w_item):
        if isinstance(w_item, self.BoxType):
            return w_item
        return self.coerce_subtype(space, space.gettypefor(self.BoxType), w_item)

    def coerce_subtype(self, space, w_subtype, w_item):
        # XXX: ugly
        w_obj = space.allocate_instance(self.BoxType, w_subtype)
        assert isinstance(w_obj, self.BoxType)
        w_obj.__init__(self._coerce(space, w_item).value)
        return w_obj

    def to_builtin_type(self, space, box):
        return space.wrap(self.for_computation(self.unbox(box)))

    def _coerce(self, space, w_item):
        raise NotImplementedError

    def default_fromstring(self, space):
        raise NotImplementedError

    def _read(self, storage, width, i, offset):
        if we_are_translated():
            return libffi.array_getitem(clibffi.cast_type_to_ffitype(self.T),
                                        width, storage, i, offset)
        else:
            return libffi.array_getitem_T(self.T, width, storage, i, offset)

    def read(self, arr, width, i, offset, dtype=None):
        return self.box(self._read(arr.storage, width, i, offset))

    def read_bool(self, arr, width, i, offset):
        return bool(self.for_computation(self._read(arr.storage, width, i, offset)))

    def _write(self, storage, width, i, offset, value):
        if we_are_translated():
            libffi.array_setitem(clibffi.cast_type_to_ffitype(self.T),
                                 width, storage, i, offset, value)
        else:
            libffi.array_setitem_T(self.T, width, storage, i, offset, value)
        

    def store(self, arr, width, i, offset, box):
        self._write(arr.storage, width, i, offset, self.unbox(box))

    def fill(self, storage, width, box, start, stop, offset):
        value = self.unbox(box)
        for i in xrange(start, stop, width):
            self._write(storage, 1, i, offset, value)

    def runpack_str(self, s):
        return self.box(runpack(self.format_code, s))

    def pack_str(self, box):
        return struct.pack(self.format_code, self.unbox(box))

    @simple_binary_op
    def add(self, v1, v2):
        return v1 + v2

    @simple_binary_op
    def sub(self, v1, v2):
        return v1 - v2

    @simple_binary_op
    def mul(self, v1, v2):
        return v1 * v2

    @simple_unary_op
    def pos(self, v):
        return +v

    @simple_unary_op
    def neg(self, v):
        return -v

    @simple_unary_op
    def abs(self, v):
        return abs(v)

    @raw_unary_op
    def isnan(self, v):
        return False

    @raw_unary_op
    def isinf(self, v):
        return False

    @raw_unary_op
    def isneginf(self, v):
        return False

    @raw_unary_op
    def isposinf(self, v):
        return False

    @raw_binary_op
    def eq(self, v1, v2):
        return v1 == v2

    @raw_binary_op
    def ne(self, v1, v2):
        return v1 != v2

    @raw_binary_op
    def lt(self, v1, v2):
        return v1 < v2

    @raw_binary_op
    def le(self, v1, v2):
        return v1 <= v2

    @raw_binary_op
    def gt(self, v1, v2):
        return v1 > v2

    @raw_binary_op
    def ge(self, v1, v2):
        return v1 >= v2

    @raw_binary_op
    def logical_and(self, v1, v2):
        return bool(v1) and bool(v2)

    @raw_binary_op
    def logical_or(self, v1, v2):
        return bool(v1) or bool(v2)

    @raw_unary_op
    def logical_not(self, v):
        return not bool(v)

    @raw_binary_op
    def logical_xor(self, v1, v2):
        return bool(v1) ^ bool(v2)

    def bool(self, v):
        return bool(self.for_computation(self.unbox(v)))

    @simple_binary_op
    def max(self, v1, v2):
        return max(v1, v2)

    @simple_binary_op
    def min(self, v1, v2):
        return min(v1, v2)

class NonNativePrimitive(Primitive):
    _mixin_ = True
    
    def _read(self, storage, width, i, offset):
        if we_are_translated():
            res = libffi.array_getitem(clibffi.cast_type_to_ffitype(self.T),
                                        width, storage, i, offset)
        else:
            res = libffi.array_getitem_T(self.T, width, storage, i, offset)
        return byteswap(res)

    def _write(self, storage, width, i, offset, value):
        value = byteswap(value)
        if we_are_translated():
            libffi.array_setitem(clibffi.cast_type_to_ffitype(self.T),
                                 width, storage, i, offset, value)
        else:
            libffi.array_setitem_T(self.T, width, storage, i, offset, value)

    def pack_str(self, box):
        return struct.pack(self.format_code, byteswap(self.unbox(box)))

class Bool(BaseType, Primitive):
    _attrs_ = ()

    T = lltype.Bool
    BoxType = interp_boxes.W_BoolBox
    format_code = "?"

    True = BoxType(True)
    False = BoxType(False)

    @specialize.argtype(1)
    def box(self, value):
        box = Primitive.box(self, value)
        if box.value:
            return self.True
        else:
            return self.False

    def coerce_subtype(self, space, w_subtype, w_item):
        # Doesn't return subclasses so it can return the constants.
        return self._coerce(space, w_item)

    def _coerce(self, space, w_item):
        return self.box(space.is_true(w_item))

    def to_builtin_type(self, space, w_item):
        return space.wrap(self.unbox(w_item))

    def str_format(self, box):
        return "True" if self.unbox(box) else "False"

    def for_computation(self, v):
        return int(v)

    def default_fromstring(self, space):
        return self.box(False)

    @simple_binary_op
    def bitwise_and(self, v1, v2):
        return v1 & v2

    @simple_binary_op
    def bitwise_or(self, v1, v2):
        return v1 | v2

    @simple_binary_op
    def bitwise_xor(self, v1, v2):
        return v1 ^ v2

    @simple_unary_op
    def invert(self, v):
        return ~v

NonNativeBool = Bool

class Integer(Primitive):
    _mixin_ = True

    def _base_coerce(self, space, w_item):
        return self.box(space.int_w(space.call_function(space.w_int, w_item)))
    def _coerce(self, space, w_item):
        return self._base_coerce(space, w_item)

    def str_format(self, box):
        return str(self.for_computation(self.unbox(box)))

    def for_computation(self, v):
        return widen(v)

    def default_fromstring(self, space):
        return self.box(0)

    @simple_binary_op
    def div(self, v1, v2):
        if v2 == 0:
            return 0
        return v1 / v2

    @simple_binary_op
    def floordiv(self, v1, v2):
        if v2 == 0:
            return 0
        return v1 // v2

    @simple_binary_op
    def mod(self, v1, v2):
        return v1 % v2

    @simple_binary_op
    def pow(self, v1, v2):
        if v2 < 0:
            return 0
        res = 1
        while v2 > 0:
            if v2 & 1:
                res *= v1
            v2 >>= 1
            if v2 == 0:
                break
            v1 *= v1
        return res

    @simple_binary_op
    def lshift(self, v1, v2):
        return v1 << v2

    @simple_binary_op
    def rshift(self, v1, v2):
        return v1 >> v2

    @simple_unary_op
    def sign(self, v):
        if v > 0:
            return 1
        elif v < 0:
            return -1
        else:
            assert v == 0
            return 0

    @simple_binary_op
    def bitwise_and(self, v1, v2):
        return v1 & v2

    @simple_binary_op
    def bitwise_or(self, v1, v2):
        return v1 | v2

    @simple_binary_op
    def bitwise_xor(self, v1, v2):
        return v1 ^ v2

    @simple_unary_op
    def invert(self, v):
        return ~v

class NonNativeInteger(NonNativePrimitive, Integer):
    _mixin_ = True

class Int8(BaseType, Integer):
    _attrs_ = ()

    T = rffi.SIGNEDCHAR
    BoxType = interp_boxes.W_Int8Box
    format_code = "b"
NonNativeInt8 = Int8

class UInt8(BaseType, Integer):
    _attrs_ = ()

    T = rffi.UCHAR
    BoxType = interp_boxes.W_UInt8Box
    format_code = "B"
NonNativeUInt8 = UInt8

class Int16(BaseType, Integer):
    _attrs_ = ()

    T = rffi.SHORT
    BoxType = interp_boxes.W_Int16Box
    format_code = "h"

class NonNativeInt16(BaseType, NonNativeInteger):
    _attrs_ = ()

    T = rffi.SHORT
    BoxType = interp_boxes.W_Int16Box
    format_code = "h"

class UInt16(BaseType, Integer):
    _attrs_ = ()

    T = rffi.USHORT
    BoxType = interp_boxes.W_UInt16Box
    format_code = "H"

class NonNativeUInt16(BaseType, NonNativeInteger):
    _attrs_ = ()

    T = rffi.USHORT
    BoxType = interp_boxes.W_UInt16Box
    format_code = "H"

class Int32(BaseType, Integer):
    _attrs_ = ()

    T = rffi.INT
    BoxType = interp_boxes.W_Int32Box
    format_code = "i"

class NonNativeInt32(BaseType, NonNativeInteger):
    _attrs_ = ()

    T = rffi.INT
    BoxType = interp_boxes.W_Int32Box
    format_code = "i"

class UInt32(BaseType, Integer):
    _attrs_ = ()

    T = rffi.UINT
    BoxType = interp_boxes.W_UInt32Box
    format_code = "I"

class NonNativeUInt32(BaseType, NonNativeInteger):
    _attrs_ = ()

    T = rffi.UINT
    BoxType = interp_boxes.W_UInt32Box
    format_code = "I"

class Long(BaseType, Integer):
    _attrs_ = ()

    T = rffi.LONG
    BoxType = interp_boxes.W_LongBox
    format_code = "l"

class NonNativeLong(BaseType, NonNativeInteger):
    _attrs_ = ()

    T = rffi.LONG
    BoxType = interp_boxes.W_LongBox
    format_code = "l"

class ULong(BaseType, Integer):
    _attrs_ = ()

    T = rffi.ULONG
    BoxType = interp_boxes.W_ULongBox
    format_code = "L"

class NonNativeULong(BaseType, NonNativeInteger):
    _attrs_ = ()

    T = rffi.ULONG
    BoxType = interp_boxes.W_ULongBox
    format_code = "L"

def _int64_coerce(self, space, w_item):
    try:
        return self._base_coerce(space, w_item)
    except OperationError, e:
        if not e.match(space, space.w_OverflowError):
            raise
    bigint = space.bigint_w(w_item)
    try:
        value = bigint.tolonglong()
    except OverflowError:
        raise OperationError(space.w_OverflowError, space.w_None)
    return self.box(value)

class Int64(BaseType, Integer):
    _attrs_ = ()

    T = rffi.LONGLONG
    BoxType = interp_boxes.W_Int64Box
    format_code = "q"

    _coerce = func_with_new_name(_int64_coerce, '_coerce')

class NonNativeInt64(BaseType, NonNativeInteger):
    _attrs_ = ()

    T = rffi.LONGLONG
    BoxType = interp_boxes.W_Int64Box
    format_code = "q"    

    _coerce = func_with_new_name(_int64_coerce, '_coerce')

def _uint64_coerce(self, space, w_item):
    try:
        return self._base_coerce(space, w_item)
    except OperationError, e:
        if not e.match(space, space.w_OverflowError):
            raise
    bigint = space.bigint_w(w_item)
    try:
        value = bigint.toulonglong()
    except OverflowError:
        raise OperationError(space.w_OverflowError, space.w_None)
    return self.box(value)

class UInt64(BaseType, Integer):
    _attrs_ = ()

    T = rffi.ULONGLONG
    BoxType = interp_boxes.W_UInt64Box
    format_code = "Q"

    _coerce = func_with_new_name(_uint64_coerce, '_coerce')

class NonNativeUInt64(BaseType, NonNativeInteger):
    _attrs_ = ()

    T = rffi.ULONGLONG
    BoxType = interp_boxes.W_UInt64Box
    format_code = "Q"

    _coerce = func_with_new_name(_uint64_coerce, '_coerce')

class Float(Primitive):
    _mixin_ = True

    def _coerce(self, space, w_item):
        return self.box(space.float_w(space.call_function(space.w_float, w_item)))

    def str_format(self, box):
        return float2string(self.for_computation(self.unbox(box)), "g",
                            rfloat.DTSF_STR_PRECISION)

    def for_computation(self, v):
        return float(v)

    def default_fromstring(self, space):
        return self.box(-1.0)

    @simple_binary_op
    def div(self, v1, v2):
        try:
            return v1 / v2
        except ZeroDivisionError:
            if v1 == v2 == 0.0:
                return rfloat.NAN
            return rfloat.copysign(rfloat.INFINITY, v1 * v2)

    @simple_binary_op
    def floordiv(self, v1, v2):
        try:
            return math.floor(v1 / v2)
        except ZeroDivisionError:
            if v1 == v2 == 0.0:
                return rfloat.NAN
            return rfloat.copysign(rfloat.INFINITY, v1 * v2)

    @simple_binary_op
    def mod(self, v1, v2):
        return math.fmod(v1, v2)

    @simple_binary_op
    def pow(self, v1, v2):
        try:
            return math.pow(v1, v2)
        except ValueError:
            return rfloat.NAN
        except OverflowError:
            if math.modf(v2)[0] == 0 and math.modf(v2 / 2)[0] != 0:
                # Odd integer powers result in the same sign as the base
                return rfloat.copysign(rfloat.INFINITY, v1)
            return rfloat.INFINITY

    @simple_binary_op
    def copysign(self, v1, v2):
        return math.copysign(v1, v2)

    @simple_unary_op
    def sign(self, v):
        if v == 0.0:
            return 0.0
        return rfloat.copysign(1.0, v)

    @raw_unary_op
    def signbit(self, v):
        return rfloat.copysign(1.0, v) < 0.0

    @simple_unary_op
    def fabs(self, v):
        return math.fabs(v)

    @simple_binary_op
    def fmax(self, v1, v2):
        if math.isnan(v1):
            return v1
        elif math.isnan(v2):
            return v2
        return max(v1, v2)

    @simple_binary_op
    def fmin(self, v1, v2):
        if math.isnan(v1):
            return v1
        elif math.isnan(v2):
            return v2
        return min(v1, v2)

    @simple_binary_op
    def fmod(self, v1, v2):
        try:
            return math.fmod(v1, v2)
        except ValueError:
            return rfloat.NAN

    @simple_unary_op
    def reciprocal(self, v):
        if v == 0.0:
            return rfloat.copysign(rfloat.INFINITY, v)
        return 1.0 / v

    @simple_unary_op
    def floor(self, v):
        return math.floor(v)

    @simple_unary_op
    def ceil(self, v):
        return math.ceil(v)

    @simple_unary_op
    def trunc(self, v):
        if v < 0:
            return math.ceil(v)
        else:
            return math.floor(v)

    @simple_unary_op
    def exp(self, v):
        try:
            return math.exp(v)
        except OverflowError:
            return rfloat.INFINITY

    @simple_unary_op
    def exp2(self, v):
        try:
            return math.pow(2, v)
        except OverflowError:
            return rfloat.INFINITY

    @simple_unary_op
    def expm1(self, v):
        try:
            return rfloat.expm1(v)
        except OverflowError:
            return rfloat.INFINITY

    @simple_unary_op
    def sin(self, v):
        return math.sin(v)

    @simple_unary_op
    def cos(self, v):
        return math.cos(v)

    @simple_unary_op
    def tan(self, v):
        return math.tan(v)

    @simple_unary_op
    def arcsin(self, v):
        if not -1.0 <= v <= 1.0:
            return rfloat.NAN
        return math.asin(v)

    @simple_unary_op
    def arccos(self, v):
        if not -1.0 <= v <= 1.0:
            return rfloat.NAN
        return math.acos(v)

    @simple_unary_op
    def arctan(self, v):
        return math.atan(v)

    @simple_binary_op
    def arctan2(self, v1, v2):
        return math.atan2(v1, v2)

    @simple_unary_op
    def sinh(self, v):
        return math.sinh(v)

    @simple_unary_op
    def cosh(self, v):
        return math.cosh(v)

    @simple_unary_op
    def tanh(self, v):
        return math.tanh(v)

    @simple_unary_op
    def arcsinh(self, v):
        return math.asinh(v)

    @simple_unary_op
    def arccosh(self, v):
        if v < 1.0:
            return rfloat.NAN
        return math.acosh(v)

    @simple_unary_op
    def arctanh(self, v):
        if v == 1.0 or v == -1.0:
            return math.copysign(rfloat.INFINITY, v)
        if not -1.0 < v < 1.0:
            return rfloat.NAN
        return math.atanh(v)

    @simple_unary_op
    def sqrt(self, v):
        try:
            return math.sqrt(v)
        except ValueError:
            return rfloat.NAN

    @simple_unary_op
    def square(self, v):
        return v*v

    @raw_unary_op
    def isnan(self, v):
        return rfloat.isnan(v)

    @raw_unary_op
    def isinf(self, v):
        return rfloat.isinf(v)

    @raw_unary_op
    def isneginf(self, v):
        return rfloat.isinf(v) and v < 0

    @raw_unary_op
    def isposinf(self, v):
        return rfloat.isinf(v) and v > 0

    @raw_unary_op
    def isfinite(self, v):
        return not (rfloat.isinf(v) or rfloat.isnan(v))

    @simple_unary_op
    def radians(self, v):
        return v * degToRad
    deg2rad = radians

    @simple_unary_op
    def degrees(self, v):
        return v / degToRad

    @simple_unary_op
    def log(self, v):
        try:
            return math.log(v)
        except ValueError:
            if v == 0.0:
                # CPython raises ValueError here, so we have to check
                # the value to find the correct numpy return value
                return -rfloat.INFINITY
            return rfloat.NAN

    @simple_unary_op
    def log2(self, v):
        try:
            return math.log(v) / log2
        except ValueError:
            if v == 0.0:
                # CPython raises ValueError here, so we have to check
                # the value to find the correct numpy return value
                return -rfloat.INFINITY
            return rfloat.NAN

    @simple_unary_op
    def log10(self, v):
        try:
            return math.log10(v)
        except ValueError:
            if v == 0.0:
                # CPython raises ValueError here, so we have to check
                # the value to find the correct numpy return value
                return -rfloat.INFINITY
            return rfloat.NAN

    @simple_unary_op
    def log1p(self, v):
        try:
            return rfloat.log1p(v)
        except OverflowError:
            return -rfloat.INFINITY
        except ValueError:
            return rfloat.NAN

    @simple_binary_op
    def logaddexp(self, v1, v2):
        try:
            v1e = math.exp(v1)
        except OverflowError:
            v1e = rfloat.INFINITY
        try:
            v2e = math.exp(v2)
        except OverflowError:
            v2e = rfloat.INFINITY

        v12e = v1e + v2e
        try:
            return math.log(v12e)
        except ValueError:
            if v12e == 0.0:
                # CPython raises ValueError here, so we have to check
                # the value to find the correct numpy return value
                return -rfloat.INFINITY
            return rfloat.NAN

    @simple_binary_op
    def logaddexp2(self, v1, v2):
        try:
            v1e = math.pow(2, v1)
        except OverflowError:
            v1e = rfloat.INFINITY
        try:
            v2e = math.pow(2, v2)
        except OverflowError:
            v2e = rfloat.INFINITY

        v12e = v1e + v2e
        try:
            return math.log(v12e) / log2
        except ValueError:
            if v12e == 0.0:
                # CPython raises ValueError here, so we have to check
                # the value to find the correct numpy return value
                return -rfloat.INFINITY
            return rfloat.NAN

class NonNativeFloat(NonNativePrimitive, Float):
    _mixin_ = True

    def _read(self, storage, width, i, offset):
        if we_are_translated():
            res = libffi.array_getitem(clibffi.cast_type_to_ffitype(self.T),
                                        width, storage, i, offset)
        else:
            res = libffi.array_getitem_T(self.T, width, storage, i, offset)
        #return byteswap(res)
        return res

    def _write(self, storage, width, i, offset, value):
        #value = byteswap(value) XXX
        if we_are_translated():
            libffi.array_setitem(clibffi.cast_type_to_ffitype(self.T),
                                 width, storage, i, offset, value)
        else:
            libffi.array_setitem_T(self.T, width, storage, i, offset, value)

    def pack_str(self, box):
        # XXX byteswap
        return struct.pack(self.format_code, self.unbox(box))


class Float32(BaseType, Float):
    _attrs_ = ()

    T = rffi.FLOAT
    BoxType = interp_boxes.W_Float32Box
    format_code = "f"

class NonNativeFloat32(BaseType, NonNativeFloat):
    _attrs_ = ()

    T = rffi.FLOAT
    BoxType = interp_boxes.W_Float32Box
    format_code = "f"    

class Float64(BaseType, Float):
    _attrs_ = ()

    T = rffi.DOUBLE
    BoxType = interp_boxes.W_Float64Box
    format_code = "d"

class NonNativeFloat64(BaseType, NonNativeFloat):
    _attrs_ = ()

    T = rffi.DOUBLE
    BoxType = interp_boxes.W_Float64Box
    format_code = "d"

class BaseStringType(object):
    _mixin_ = True
    
    def __init__(self, size=0):
        self.size = size

    def get_element_size(self):
        return self.size * rffi.sizeof(self.T)

class StringType(BaseType, BaseStringType):
    T = lltype.Char

class VoidType(BaseType, BaseStringType):
    T = lltype.Char

NonNativeVoidType = VoidType
NonNativeStringType = StringType

class UnicodeType(BaseType, BaseStringType):
    T = lltype.UniChar

NonNativeUnicodeType = UnicodeType

class RecordType(BaseType):

    T = lltype.Char

    def __init__(self, offsets_and_fields, size):
        self.offsets_and_fields = offsets_and_fields
        self.size = size

    def get_element_size(self):
        return self.size
    
    def read(self, arr, width, i, offset, dtype=None):
        if dtype is None:
            dtype = arr.dtype
        return interp_boxes.W_VoidBox(arr, i + offset, dtype)

    @jit.unroll_safe
    def coerce(self, space, dtype, w_item): 
        from pypy.module.micronumpy.interp_numarray import W_NDimArray

        if isinstance(w_item, interp_boxes.W_VoidBox):
            return w_item
        # we treat every sequence as sequence, no special support
        # for arrays
        if not space.issequence_w(w_item):
            raise OperationError(space.w_TypeError, space.wrap(
                "expected sequence"))
        if len(self.offsets_and_fields) != space.int_w(space.len(w_item)):
            raise OperationError(space.w_ValueError, space.wrap(
                "wrong length"))
        items_w = space.fixedview(w_item)
        # XXX optimize it out one day, but for now we just allocate an
        #     array
        arr = W_NDimArray([1], dtype)
        for i in range(len(items_w)):
            subdtype = dtype.fields[dtype.fieldnames[i]][1]
            ofs, itemtype = self.offsets_and_fields[i]
            w_item = items_w[i]
            w_box = itemtype.coerce(space, subdtype, w_item)
            itemtype.store(arr, 1, 0, ofs, w_box)
        return interp_boxes.W_VoidBox(arr, 0, arr.dtype)

    @jit.unroll_safe
    def store(self, arr, _, i, ofs, box):
        assert isinstance(box, interp_boxes.W_VoidBox)
        for k in range(self.get_element_size()):
            arr.storage[k + i] = box.arr.storage[k + box.ofs]

    @jit.unroll_safe
    def str_format(self, box):
        assert isinstance(box, interp_boxes.W_VoidBox)
        pieces = ["("]
        first = True
        for ofs, tp in self.offsets_and_fields:
            if first:
                first = False
            else:
                pieces.append(", ")
            pieces.append(tp.str_format(tp.read(box.arr, 1, box.ofs, ofs)))
        pieces.append(")")
        return "".join(pieces)

for tp in [Int32, Int64]:
    if tp.T == lltype.Signed:
        IntP = tp
        break
for tp in [UInt32, UInt64]:
    if tp.T == lltype.Unsigned:
        UIntP = tp
        break
del tp

def _setup():
    # compute alignment
    for tp in globals().values():
        if isinstance(tp, type) and hasattr(tp, 'T'):
            tp.alignment = clibffi.cast_type_to_ffitype(tp.T).c_alignment
_setup()
del _setup