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
|
import py
from rpython.jit.metainterp import compile
from rpython.jit.metainterp.history import (TargetToken, JitCellToken,
TreeLoop, Const)
from rpython.jit.metainterp.optimizeopt.util import equaloplists
from rpython.jit.metainterp.optimizeopt.vector import (Pack,
NotAProfitableLoop, VectorizingOptimizer)
from rpython.jit.metainterp.optimizeopt.dependency import (Node,
DependencyGraph, IndexVar)
from rpython.jit.metainterp.optimizeopt.guard import (GuardStrengthenOpt,
Guard)
from rpython.jit.metainterp.optimizeopt.test.test_util import LLtypeMixin
from rpython.jit.metainterp.optimizeopt.test.test_schedule import SchedulerBaseTest
from rpython.jit.metainterp.optimizeopt.test.test_vecopt import (FakeMetaInterpStaticData,
FakeJitDriverStaticData, FakeLoopInfo)
from rpython.jit.metainterp.resoperation import (rop,
ResOperation, InputArgInt)
from rpython.jit.tool.oparser_model import get_model
class FakeMemoryRef(object):
def __init__(self, array, iv):
self.index_var = iv
self.array = array
def is_adjacent_to(self, other):
if self.array is not other.array:
return False
iv = self.index_var
ov = other.index_var
val = (int(str(ov.var)[1:]) - int(str(iv.var)[1:]))
# i0 and i1 are adjacent
# i1 and i0 ...
# but not i0, i2
# ...
return abs(val) == 1
class FakeOp(object):
def __init__(self, cmpop):
self.boolinverse = ResOperation(cmpop, [box(0), box(0)], None).boolinverse
self.cmpop = cmpop
def getopnum(self):
return self.cmpop
def getarg(self, index):
if index == 0:
return 'lhs'
elif index == 1:
return 'rhs'
else:
assert 0
class FakeResOp(object):
def __init__(self, opnum):
self.opnum = opnum
def getopnum(self):
return self.opnum
def box(value):
return InputArgInt(value)
def const(value):
return Const._new(value)
def iv(value, coeff=(1,1,0)):
var = IndexVar(value)
var.coefficient_mul = coeff[0]
var.coefficient_div = coeff[1]
var.constant = coeff[2]
return var
def guard(opnum):
def guard_impl(cmpop, lhs, rhs):
guard = Guard(0, FakeResOp(opnum), FakeOp(cmpop), {'lhs': lhs, 'rhs': rhs})
return guard
return guard_impl
guard_true = guard(rop.GUARD_TRUE)
guard_false = guard(rop.GUARD_FALSE)
del guard
class GuardBaseTest(SchedulerBaseTest):
def optguards(self, loop, user_code=False):
info = FakeLoopInfo(loop)
info.snapshot(loop)
for op in loop.operations:
if op.is_guard():
op.setdescr(compile.CompileLoopVersionDescr())
dep = DependencyGraph(loop)
opt = GuardStrengthenOpt(dep.index_vars)
opt.propagate_all_forward(info, loop, user_code)
return opt
def assert_guard_count(self, loop, count):
guard = 0
for op in loop.operations + loop.prefix:
if op.is_guard():
guard += 1
if guard != count:
self.debug_print_operations(loop)
assert guard == count
def assert_contains_sequence(self, loop, instr):
class Glob(object):
next = None
prev = None
def __repr__(self):
return '*'
from rpython.jit.tool.oparser import OpParser, default_fail_descr
parser = OpParser(instr, self.cpu, self.namespace, None, default_fail_descr, True, None)
parser.vars = { arg.repr_short(arg._repr_memo) : arg for arg in loop.inputargs}
operations = []
last_glob = None
prev_op = None
for line in instr.splitlines():
line = line.strip()
if line.startswith("#") or \
line == "":
continue
if line.startswith("..."):
last_glob = Glob()
last_glob.prev = prev_op
operations.append(last_glob)
continue
op = parser.parse_next_op(line)
if last_glob is not None:
last_glob.next = op
last_glob = None
operations.append(op)
def check(op, candidate, rename):
m = 0
if isinstance(candidate, Glob):
if candidate.next is None:
return 0 # consumes the rest
if op.getopnum() != candidate.next.getopnum():
return 0
m = 1
candidate = candidate.next
if op.getopnum() == candidate.getopnum():
for i,arg in enumerate(op.getarglist()):
oarg = candidate.getarg(i)
if arg in rename:
assert rename[arg].same_box(oarg)
else:
rename[arg] = oarg
if not op.returns_void():
rename[op] = candidate
m += 1
return m
return 0
j = 0
rename = {}
ops = loop.finaloplist()
for i, op in enumerate(ops):
candidate = operations[j]
j += check(op, candidate, rename)
if isinstance(operations[-1], Glob):
assert j == len(operations)-1, self.debug_print_operations(loop)
else:
assert j == len(operations), self.debug_print_operations(loop)
def test_basic(self):
loop1 = self.parse_trace("""
i10 = int_lt(i1, 42)
guard_true(i10) []
i101 = int_add(i1, 1)
i102 = int_lt(i101, 42)
guard_true(i102) []
""")
opt = self.optguards(loop1)
self.assert_guard_count(loop1, 1)
self.assert_contains_sequence(loop1, """
...
i101 = int_add(i1, 1)
i12 = int_lt(i101, 42)
guard_true(i12) []
...
""")
def test_basic_sub(self):
loop1 = self.parse_trace("""
i10 = int_gt(i1, 42)
guard_true(i10) []
i101 = int_sub(i1, 1)
i12 = int_gt(i101, 42)
guard_true(i12) []
""")
opt = self.optguards(loop1)
self.assert_guard_count(loop1, 1)
self.assert_contains_sequence(loop1, """
...
i101 = int_sub(i1, 1)
i12 = int_gt(i101, 42)
guard_true(i12) []
...
""")
def test_basic_mul(self):
loop1 = self.parse_trace("""
i10 = int_mul(i1, 4)
i20 = int_lt(i10, 42)
guard_true(i20) []
i12 = int_add(i10, 1)
i13 = int_lt(i12, 42)
guard_true(i13) []
""")
opt = self.optguards(loop1)
self.assert_guard_count(loop1, 1)
self.assert_contains_sequence(loop1, """
...
i101 = int_mul(i1, 4)
i12 = int_add(i101, 1)
i13 = int_lt(i12, 42)
guard_true(i13) []
...
""")
def test_compare(self):
key = box(1)
incomparable = (False, 0)
# const const
assert iv(const(42)).compare(iv(const(42))) == (True, 0)
assert iv(const(-400)).compare(iv(const(-200))) == (True, -200)
assert iv(const(0)).compare(iv(const(-1))) == (True, 1)
# var const
assert iv(key, coeff=(1,1,0)).compare(iv(const(42))) == incomparable
assert iv(key, coeff=(5,70,500)).compare(iv(const(500))) == incomparable
# var var
assert iv(key, coeff=(1,1,0)).compare(iv(key,coeff=(1,1,0))) == (True, 0)
assert iv(key, coeff=(1,7,0)).compare(iv(key,coeff=(1,7,0))) == (True, 0)
assert iv(key, coeff=(4,7,0)).compare(iv(key,coeff=(3,7,0))) == incomparable
assert iv(key, coeff=(14,7,0)).compare(iv(key,coeff=(2,1,0))) == (True, 0)
assert iv(key, coeff=(14,7,33)).compare(iv(key,coeff=(2,1,0))) == (True, 33)
assert iv(key, coeff=(15,5,33)).compare(iv(key,coeff=(3,1,33))) == (True, 0)
def test_imply_basic(self):
key = box(1)
# if x < 42 <=> x < 42
g1 = guard_true(rop.INT_LT, iv(key, coeff=(1,1,0)), iv(const(42)))
g2 = guard_true(rop.INT_LT, iv(key, coeff=(1,1,0)), iv(const(42)))
assert g1.implies(g2)
assert g2.implies(g1)
# if x+1 < 42 => x < 42
g1 = guard_true(rop.INT_LT, iv(key, coeff=(1,1,1)), iv(const(42)))
g2 = guard_true(rop.INT_LT, iv(key, coeff=(1,1,0)), iv(const(42)))
assert g1.implies(g2)
assert not g2.implies(g1)
# if x+2 < 42 => x < 39
# counter: 39+2 < 42 => 39 < 39
g1 = guard_true(rop.INT_LT, iv(key, coeff=(1,1,2)), iv(const(42)))
g2 = guard_true(rop.INT_LT, iv(key, coeff=(1,1,0)), iv(const(39)))
assert not g1.implies(g2)
assert not g2.implies(g1)
# if x+2 <= 42 => x <= 43
g1 = guard_true(rop.INT_LE, iv(key, coeff=(1,1,2)), iv(const(42)))
g2 = guard_true(rop.INT_LE, iv(key, coeff=(1,1,0)), iv(const(43)))
assert g1.implies(g2)
assert not g2.implies(g1)
# if x*13/3+1 <= 0 => x*13/3 <= -1
# is true, but the implies method is not smart enough
g1 = guard_true(rop.INT_LE, iv(key, coeff=(13,3,1)), iv(const(0)))
g2 = guard_true(rop.INT_LE, iv(key, coeff=(13,3,0)), iv(const(-1)))
assert not g1.implies(g2)
assert not g2.implies(g1)
# > or >=
# if x > -55 => x*2 > -44
# counter: -44 > -55 (True) => -88 > -44 (False)
g1 = guard_true(rop.INT_GT, iv(key, coeff=(1,1,0)), iv(const(-55)))
g2 = guard_true(rop.INT_GT, iv(key, coeff=(2,1,0)), iv(const(-44)))
assert not g1.implies(g2)
assert not g2.implies(g1)
# if x*2/2 > -44 => x*2/2 > -55
g1 = guard_true(rop.INT_GE, iv(key, coeff=(2,2,0)), iv(const(-44)))
g2 = guard_true(rop.INT_GE, iv(key, coeff=(2,2,0)), iv(const(-55)))
assert g1.implies(g2)
assert not g2.implies(g1)
def test_imply_coeff(self):
key = box(1)
key2 = box(2)
# if x > y * 9/3 => x > y
# counter: x = -2, y = -1, -2 > -3 => -2 > -1, True => False
g1 = guard_true(rop.INT_GT, iv(key, coeff=(1,1,0)), iv(box(1),coeff=(9,3,0)))
g2 = guard_true(rop.INT_GT, iv(key, coeff=(1,1,0)), iv(box(1),coeff=(1,1,0)))
assert not g1.implies(g2)
assert not g2.implies(g1)
# if x > y * 15/5 <=> x > y * 3
g1 = guard_true(rop.INT_GT, iv(key, coeff=(1,1,0)), iv(key2,coeff=(15,5,0)))
g2 = guard_true(rop.INT_GT, iv(key, coeff=(1,1,0)), iv(key2,coeff=(3,1,0)))
assert g1.implies(g2)
assert g2.implies(g1)
# x >= y => x*3-5 >= y
# counter: 1 >= 0 => 1*3-5 >= 0 == -2 >= 0, True => False
g1 = guard_true(rop.INT_GE, iv(key, coeff=(1,1,0)), iv(key2))
g2 = guard_true(rop.INT_GE, iv(key, coeff=(3,1,-5)), iv(key2))
assert not g1.implies(g2)
assert not g2.implies(g1)
# guard false inverst >= to <
# x < y => x*3-5 < y
# counter: 3 < 4 => 3*3-5 < 4 == 4 < 4, True => False
g1 = guard_false(rop.INT_GE, iv(key, coeff=(1,1,0)), iv(key2))
g2 = guard_false(rop.INT_GE, iv(key, coeff=(3,1,-5)), iv(key2))
assert not g1.implies(g2)
assert not g2.implies(g1)
# x <= y => x*3-5 > y
# counter: 3 < 4 => 3*3-5 < 4 == 4 < 4, True => False
g1 = guard_false(rop.INT_GT, iv(key, coeff=(1,1,0)), iv(key2))
g2 = guard_true(rop.INT_GT, iv(key, coeff=(3,1,-5)), iv(key2))
assert not g1.implies(g2)
assert not g2.implies(g1)
def test_collapse(self):
loop1 = self.parse_trace("""
i10 = int_gt(i1, 42)
guard_true(i10) []
i11 = int_add(i1, 1)
i12 = int_gt(i11, i2)
guard_true(i12) []
""")
opt = self.optguards(loop1, True)
self.assert_guard_count(loop1, 2)
self.assert_contains_sequence(loop1, """
...
i100 = int_ge(42, i2)
guard_true(i100) []
...
i40 = int_gt(i1, 42)
guard_true(i40) []
...
""")
class Test(GuardBaseTest, LLtypeMixin):
pass
|
