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1#!/usr/bin/env python2 3"""A shuffle vector fuzz tester.4 5This is a python program to fuzz test the LLVM shufflevector instruction. It6generates a function with a random sequnece of shufflevectors, maintaining the7element mapping accumulated across the function. It then generates a main8function which calls it with a different value in each element and checks that9the result matches the expected mapping.10 11Take the output IR printed to stdout, compile it to an executable using whatever12set of transforms you want to test, and run the program. If it crashes, it found13a bug.14"""15 16from __future__ import print_function17 18import argparse19import itertools20import random21import sys22import uuid23 24 25def main():26    element_types = ["i8", "i16", "i32", "i64", "f32", "f64"]27    parser = argparse.ArgumentParser(description=__doc__)28    parser.add_argument(29        "-v", "--verbose", action="store_true", help="Show verbose output"30    )31    parser.add_argument(32        "--seed", default=str(uuid.uuid4()), help="A string used to seed the RNG"33    )34    parser.add_argument(35        "--max-shuffle-height",36        type=int,37        default=16,38        help="Specify a fixed height of shuffle tree to test",39    )40    parser.add_argument(41        "--no-blends",42        dest="blends",43        action="store_false",44        help="Include blends of two input vectors",45    )46    parser.add_argument(47        "--fixed-bit-width",48        type=int,49        choices=[128, 256],50        help="Specify a fixed bit width of vector to test",51    )52    parser.add_argument(53        "--fixed-element-type",54        choices=element_types,55        help="Specify a fixed element type to test",56    )57    parser.add_argument("--triple", help="Specify a triple string to include in the IR")58    args = parser.parse_args()59 60    random.seed(args.seed)61 62    if args.fixed_element_type is not None:63        element_types = [args.fixed_element_type]64 65    if args.fixed_bit_width is not None:66        if args.fixed_bit_width == 128:67            width_map = {"i64": 2, "i32": 4, "i16": 8, "i8": 16, "f64": 2, "f32": 4}68            (width, element_type) = random.choice(69                [(width_map[t], t) for t in element_types]70            )71        elif args.fixed_bit_width == 256:72            width_map = {"i64": 4, "i32": 8, "i16": 16, "i8": 32, "f64": 4, "f32": 8}73            (width, element_type) = random.choice(74                [(width_map[t], t) for t in element_types]75            )76        else:77            sys.exit(1)  # Checked above by argument parsing.78    else:79        width = random.choice([2, 4, 8, 16, 32, 64])80        element_type = random.choice(element_types)81 82    element_modulus = {83        "i8": 1 << 8,84        "i16": 1 << 16,85        "i32": 1 << 32,86        "i64": 1 << 64,87        "f32": 1 << 32,88        "f64": 1 << 64,89    }[element_type]90 91    shuffle_range = (2 * width) if args.blends else width92 93    # Because undef (-1) saturates and is indistinguishable when testing the94    # correctness of a shuffle, we want to bias our fuzz toward having a decent95    # mixture of non-undef lanes in the end. With a deep shuffle tree, the96    # probabilies aren't good so we need to bias things. The math here is that if97    # we uniformly select between -1 and the other inputs, each element of the98    # result will have the following probability of being undef:99    #100    #   1 - (shuffle_range/(shuffle_range+1))^max_shuffle_height101    #102    # More generally, for any probability P of selecting a defined element in103    # a single shuffle, the end result is:104    #105    #   1 - P^max_shuffle_height106    #107    # The power of the shuffle height is the real problem, as we want:108    #109    #   1 - shuffle_range/(shuffle_range+1)110    #111    # So we bias the selection of undef at any given node based on the tree112    # height. Below, let 'A' be 'len(shuffle_range)', 'C' be 'max_shuffle_height',113    # and 'B' be the bias we use to compensate for114    # C '((A+1)*A^(1/C))/(A*(A+1)^(1/C))':115    #116    #   1 - (B * A)/(A + 1)^C = 1 - A/(A + 1)117    #118    # So at each node we use:119    #120    #   1 - (B * A)/(A + 1)121    # = 1 - ((A + 1) * A * A^(1/C))/(A * (A + 1) * (A + 1)^(1/C))122    # = 1 - ((A + 1) * A^((C + 1)/C))/(A * (A + 1)^((C + 1)/C))123    #124    # This is the formula we use to select undef lanes in the shuffle.125    A = float(shuffle_range)126    C = float(args.max_shuffle_height)127    undef_prob = 1.0 - (128        ((A + 1.0) * pow(A, (C + 1.0) / C)) / (A * pow(A + 1.0, (C + 1.0) / C))129    )130 131    shuffle_tree = [132        [133            [134                -1135                if random.random() <= undef_prob136                else random.choice(range(shuffle_range))137                for _ in itertools.repeat(None, width)138            ]139            for _ in itertools.repeat(None, args.max_shuffle_height - i)140        ]141        for i in range(args.max_shuffle_height)142    ]143 144    if args.verbose:145        # Print out the shuffle sequence in a compact form.146        print(147            (148                'Testing shuffle sequence "%s" (v%d%s):'149                % (args.seed, width, element_type)150            ),151            file=sys.stderr,152        )153        for i, shuffles in enumerate(shuffle_tree):154            print("  tree level %d:" % (i,), file=sys.stderr)155            for j, s in enumerate(shuffles):156                print("    shuffle %d: %s" % (j, s), file=sys.stderr)157        print("", file=sys.stderr)158 159    # Symbolically evaluate the shuffle tree.160    inputs = [161        [int(j % element_modulus) for j in range(i * width + 1, (i + 1) * width + 1)]162        for i in range(args.max_shuffle_height + 1)163    ]164    results = inputs165    for shuffles in shuffle_tree:166        results = [167            [168                (169                    (results[i] if j < width else results[i + 1])[j % width]170                    if j != -1171                    else -1172                )173                for j in s174            ]175            for i, s in enumerate(shuffles)176        ]177    if len(results) != 1:178        print("ERROR: Bad results: %s" % (results,), file=sys.stderr)179        sys.exit(1)180    result = results[0]181 182    if args.verbose:183        print("Which transforms:", file=sys.stderr)184        print("  from: %s" % (inputs,), file=sys.stderr)185        print("  into: %s" % (result,), file=sys.stderr)186        print("", file=sys.stderr)187 188    # The IR uses silly names for floating point types. We also need a same-size189    # integer type.190    integral_element_type = element_type191    if element_type == "f32":192        integral_element_type = "i32"193        element_type = "float"194    elif element_type == "f64":195        integral_element_type = "i64"196        element_type = "double"197 198    # Now we need to generate IR for the shuffle function.199    subst = {"N": width, "T": element_type, "IT": integral_element_type}200    print(201        """202define internal fastcc <%(N)d x %(T)s> @test(%(arguments)s) noinline nounwind {203entry:"""204        % dict(205            subst,206            arguments=", ".join(207                [208                    "<%(N)d x %(T)s> %%s.0.%(i)d" % dict(subst, i=i)209                    for i in range(args.max_shuffle_height + 1)210                ]211            ),212        )213    )214 215    for i, shuffles in enumerate(shuffle_tree):216        for j, s in enumerate(shuffles):217            print(218                """219  %%s.%(next_i)d.%(j)d = shufflevector <%(N)d x %(T)s> %%s.%(i)d.%(j)d, <%(N)d x %(T)s> %%s.%(i)d.%(next_j)d, <%(N)d x i32> <%(S)s>220""".strip(221                    "\n"222                )223                % dict(224                    subst,225                    i=i,226                    next_i=i + 1,227                    j=j,228                    next_j=j + 1,229                    S=", ".join(230                        ["i32 " + (str(si) if si != -1 else "undef") for si in s]231                    ),232                )233            )234 235    print(236        """237  ret <%(N)d x %(T)s> %%s.%(i)d.0238}239"""240        % dict(subst, i=len(shuffle_tree))241    )242 243    # Generate some string constants that we can use to report errors.244    for i, r in enumerate(result):245        if r != -1:246            s = (247                "FAIL(%(seed)s): lane %(lane)d, expected %(result)d, found %%d\n\\0A"248                % {"seed": args.seed, "lane": i, "result": r}249            )250            s += "".join(["\\00" for _ in itertools.repeat(None, 128 - len(s) + 2)])251            print(252                """253@error.%(i)d = private unnamed_addr global [128 x i8] c"%(s)s"254""".strip()255                % {"i": i, "s": s}256            )257 258    # Define a wrapper function which is marked 'optnone' to prevent259    # interprocedural optimizations from deleting the test.260    print(261        """262define internal fastcc <%(N)d x %(T)s> @test_wrapper(%(arguments)s) optnone noinline {263  %%result = call fastcc <%(N)d x %(T)s> @test(%(arguments)s)264  ret <%(N)d x %(T)s> %%result265}266"""267        % dict(268            subst,269            arguments=", ".join(270                [271                    "<%(N)d x %(T)s> %%s.%(i)d" % dict(subst, i=i)272                    for i in range(args.max_shuffle_height + 1)273                ]274            ),275        )276    )277 278    # Finally, generate a main function which will trap if any lanes are mapped279    # incorrectly (in an observable way).280    print(281        """282define i32 @main() {283entry:284  ; Create a scratch space to print error messages.285  %%str = alloca [128 x i8]286  %%str.ptr = getelementptr inbounds [128 x i8], [128 x i8]* %%str, i32 0, i32 0287 288  ; Build the input vector and call the test function.289  %%v = call fastcc <%(N)d x %(T)s> @test_wrapper(%(inputs)s)290  ; We need to cast this back to an integer type vector to easily check the291  ; result.292  %%v.cast = bitcast <%(N)d x %(T)s> %%v to <%(N)d x %(IT)s>293  br label %%test.0294"""295        % dict(296            subst,297            inputs=", ".join(298                [299                    (300                        "<%(N)d x %(T)s> bitcast "301                        "(<%(N)d x %(IT)s> <%(input)s> to <%(N)d x %(T)s>)"302                        % dict(303                            subst,304                            input=", ".join(305                                ["%(IT)s %(i)d" % dict(subst, i=i) for i in input]306                            ),307                        )308                    )309                    for input in inputs310                ]311            ),312        )313    )314 315    # Test that each non-undef result lane contains the expected value.316    for i, r in enumerate(result):317        if r == -1:318            print(319                """320test.%(i)d:321  ; Skip this lane, its value is undef.322  br label %%test.%(next_i)d323"""324                % dict(subst, i=i, next_i=i + 1)325            )326        else:327            print(328                """329test.%(i)d:330  %%v.%(i)d = extractelement <%(N)d x %(IT)s> %%v.cast, i32 %(i)d331  %%cmp.%(i)d = icmp ne %(IT)s %%v.%(i)d, %(r)d332  br i1 %%cmp.%(i)d, label %%die.%(i)d, label %%test.%(next_i)d333 334die.%(i)d:335  ; Capture the actual value and print an error message.336  %%tmp.%(i)d = zext %(IT)s %%v.%(i)d to i2048337  %%bad.%(i)d = trunc i2048 %%tmp.%(i)d to i32338  call i32 (i8*, i8*, ...) @sprintf(i8* %%str.ptr, i8* getelementptr inbounds ([128 x i8], [128 x i8]* @error.%(i)d, i32 0, i32 0), i32 %%bad.%(i)d)339  %%length.%(i)d = call i32 @strlen(i8* %%str.ptr)340  call i32 @write(i32 2, i8* %%str.ptr, i32 %%length.%(i)d)341  call void @llvm.trap()342  unreachable343"""344                % dict(subst, i=i, next_i=i + 1, r=r)345            )346 347    print(348        """349test.%d:350  ret i32 0351}352 353declare i32 @strlen(i8*)354declare i32 @write(i32, i8*, i32)355declare i32 @sprintf(i8*, i8*, ...)356declare void @llvm.trap() noreturn nounwind357"""358        % (len(result),)359    )360 361 362if __name__ == "__main__":363    main()364