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15
Commits
| Author | SHA1 | Date | |
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cb5d827ed9 | ||
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56b2540349 | ||
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ab7df42c78 | ||
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986d113024 | ||
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05ccc69248 | ||
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90e5752199 | ||
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8e17bd6791 | ||
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b5309a5043 | ||
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3d82b83cec | ||
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a91f00925b | ||
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7711bbac7f | ||
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6fdbd03104 | ||
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bd88a72149 | ||
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957cf717e7 | ||
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fc19ea76b5 |
@@ -11,9 +11,9 @@ def unwrap(x):
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if isinstance(x, dict): return {k: unwrap(v) for k,v in x.items()}
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return x
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def wrap(x, ker, cls):
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if isinstance(x, UOp): return cls(x, ker)
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if isinstance(x, (list, tuple)): return type(x)(wrap(y, ker, cls) for y in x)
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def wrap(x, s):
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if isinstance(x, UOp): return s.ruop(x)
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if isinstance(x, (list, tuple)): return type(x)(wrap(y, s) for y in x)
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return x
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def autowrap(source_cls, blacklist=None):
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@@ -31,10 +31,10 @@ def autowrap(source_cls, blacklist=None):
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if callable(val):
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@functools.wraps(val)
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def proxy(*args, **kwargs):
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return wrap(val(*unwrap(args), **unwrap(kwargs)), self.ker, cls)
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return wrap(val(*unwrap(args), **unwrap(kwargs)), self)
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return proxy
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if name in UOp.__slots__: return val
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return wrap(val, self.ker, cls)
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return wrap(val, self)
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cls.__getattr__ = __getattr__
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for name in dir(source_cls):
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@@ -46,9 +46,9 @@ def autowrap(source_cls, blacklist=None):
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else:
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original = getattr(source_cls, name)
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if callable(original):
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def make_proxy(op_name, func):
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def make_proxy(_, func):
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def proxy(self, *args, **kwargs):
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return wrap(func(self._uop, *unwrap(args), **unwrap(kwargs)), self.ker, cls)
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return wrap(func(self._uop, *unwrap(args), **unwrap(kwargs)), self)
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return proxy
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setattr(cls, name, make_proxy(name, original))
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@@ -69,7 +69,7 @@ class TileMathMixin(MathMixin):
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if isinstance(self, RT) and isinstance(src[0], RV): uop = self.ker.warp.map(self._uop, lambda x, idx: UOp.alu(x, op, inner_op(src[0]._uop[idx[0], 0, (idx[2]%4)//2])))
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else: uop = self.ker.warp.map(self._uop, lambda x, idx: UOp.alu(x, op, inner_op(src[0]._uop[*idx])))
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else: raise NotImplementedError
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return type(self)(uop, self.ker)
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return self.ruop(uop)
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def const_like(self, b): return b
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# override ops that do compute on the src uop
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@@ -83,6 +83,9 @@ class GL:
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def __init__(self, uop, ker):
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self._uop, self.ker = uop, ker
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def ruop(self, uop):
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return GL(uop, self.ker)
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@classmethod
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def create(cls, shape, dtype, ker):
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uop = ker.alloc(shape, dtype, AddrSpace.GLOBAL)
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@@ -93,6 +96,9 @@ class ST:
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def __init__(self, uop, ker):
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self._uop, self.ker = uop, ker
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def ruop(self, uop):
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return ST(uop, self.ker)
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@classmethod
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def create(cls, shape, dtype, ker):
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uop = ker.alloc(shape, dtype, AddrSpace.LOCAL)
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@@ -107,6 +113,9 @@ class RT(TileMathMixin):
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def __init__(self, uop, ker):
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self._uop, self.ker = uop, ker
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def ruop(self, uop):
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return RT(uop, self.ker)
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@classmethod
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def create(cls, shape, dtype, ker):
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assert len(shape) == 2
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@@ -121,8 +130,11 @@ class RT(TileMathMixin):
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@autowrap(UOp)
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class RV(TileMathMixin):
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def __init__(self, uop, ker):
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self._uop, self.ker = uop, ker
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def __init__(self, uop, layout, ker):
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self._uop, self.layout, self.ker = uop, layout, ker
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def ruop(self, uop):
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return RV(uop, self.layout, self.ker)
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@classmethod
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def create(cls, length, dtype, layout, ker):
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@@ -138,6 +150,6 @@ class RV(TileMathMixin):
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case _: raise NotImplementedError(f"rv layout {layout} not implemented")
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uop = ker.alloc((outer_dim, inner_dim, 2), dtype, AddrSpace.REG)
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return RV(uop, ker)
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return RV(uop, layout, ker)
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ALL_TILES = UOp | GL | ST | RT | RV
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Vendored
+2
@@ -2,6 +2,7 @@ import gc
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from tinygrad import Tensor, UOp, Device, nn
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from tinygrad.engine.realize import method_cache, get_program
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from tinygrad.schedule.indexing import apply_movement_op
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from tinygrad.uop.divandmod import fold_divmod_general
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from test.test_tiny import TestTiny
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def uops_allocated(): return sum([isinstance(x, UOp) for x in gc.get_objects()])
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@@ -69,6 +70,7 @@ if __name__ == "__main__":
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# these caches will keep uops alive
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method_cache.clear()
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apply_movement_op.cache_clear()
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fold_divmod_general.cache_clear()
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Tensor._device_seeds.clear()
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Tensor._device_rng_counters.clear()
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+1
-1
@@ -38,7 +38,7 @@ def trunc_log(x):
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# user config
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# NOTE: process replay is slow so it's now disabled by default. add [pr] to enable it
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#SKIP_PROCESS_REPLAY = (k:="[skip_process_replay]") in os.getenv("COMMIT_MESSAGE", "") or k in os.getenv("PR_TITLE", "")
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SKIP_PROCESS_REPLAY = not ASSERT_DIFF
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SKIP_PROCESS_REPLAY = not ASSERT_DIFF and not ((k:="[p]") in os.getenv("COMMIT_MESSAGE", "") or k in os.getenv("PR_TITLE", ""))
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if REF == "master": SKIP_PROCESS_REPLAY = True
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class ProcessReplayWarning(Warning): pass
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@@ -159,3 +159,38 @@ class TestFuzzFailure(unittest.TestCase):
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num = expr.simplify().substitute({v1:v1_val, v2:v2_val, v3:v3_val}).ssimplify()
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rn = expr.substitute({v1:v1_val, v2:v2_val, v3:v3_val}).ssimplify()
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self.assertEqual(num, rn)
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def test_fuzz_failure11(self):
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v1=Variable("v1", 0, 16)
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v2=Variable("v2", 0, 128)
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v3=Variable("v3", 0, 5)
|
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expr = UOp(Ops.MOD, dtypes.index, arg=None, src=(
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UOp(Ops.ADD, dtypes.index, arg=None, src=(
|
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UOp(Ops.MOD, dtypes.index, arg=None, src=(
|
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UOp(Ops.ADD, dtypes.index, arg=None, src=(
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UOp(Ops.MAX, dtypes.index, arg=None, src=(
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UOp(Ops.MUL, dtypes.index, arg=None, src=(
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x5:=UOp(Ops.DEFINE_VAR, dtypes.index, arg=('v2', 0, 128), src=()),
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UOp(Ops.CONST, dtypes.index, arg=0, src=()),)),
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UOp(Ops.CONST, dtypes.index, arg=8, src=()),)),
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||||
UOp(Ops.MUL, dtypes.index, arg=None, src=(
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x5,
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UOp(Ops.CONST, dtypes.index, arg=-2, src=()),)),)),
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||||
x10:=UOp(Ops.CONST, dtypes.index, arg=5, src=()),)),
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UOp(Ops.ADD, dtypes.index, arg=None, src=(
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UOp(Ops.ADD, dtypes.index, arg=None, src=(
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UOp(Ops.IDIV, dtypes.index, arg=None, src=(
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x14:=UOp(Ops.DEFINE_VAR, dtypes.index, arg=('v1', 0, 16), src=()),
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UOp(Ops.CONST, dtypes.index, arg=6, src=()),)),
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UOp(Ops.CONST, dtypes.index, arg=4, src=()),)),
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UOp(Ops.ADD, dtypes.index, arg=None, src=(
|
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x14,
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||||
UOp(Ops.CONST, dtypes.index, arg=1, src=()),)),)),)),
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x10,))
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v1_val, v2_val, v3_val = UOp.const(dtypes.int, 0), UOp.const(dtypes.int, 7),UOp.const(dtypes.int, 0)
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||||
num = expr.simplify().substitute({v1:v1_val, v2:v2_val, v3:v3_val}).ssimplify()
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rn = expr.substitute({v1:v1_val, v2:v2_val, v3:v3_val}).ssimplify()
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self.assertEqual(num, rn)
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if __name__ == '__main__':
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unittest.main()
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@@ -128,6 +128,7 @@ class TestProgressBar(unittest.TestCase):
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self._compare_bars(tinytqdm_output, tqdm_output)
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if n > 5: break
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@unittest.skip("this is flaky")
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@patch('sys.stderr', new_callable=StringIO)
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@patch('shutil.get_terminal_size')
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def test_set_description(self, mock_terminal_size, mock_stderr):
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@@ -60,7 +60,9 @@ load_store_indexing = PatternMatcher([
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def expand_index(buf:UOp, vec:UOp):
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if getenv("UNSAFE_DISABLE_MASK", 0): vec = vec.get_idx()
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||||
# generate the individual indexes
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midx = graph_rewrite(UOp.sink(*[buf.index(vec.gep(i), ptr=True) for i in range(vec.dtype.count)]),
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# we use `.buf_target()` here to avoid traversing into the AFTER
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buf_target = buf.buf_target().rtag() if buf.op is Ops.AFTER else buf
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midx = graph_rewrite(UOp.sink(*[buf_target.index(vec.gep(i), ptr=True) for i in range(vec.dtype.count)]),
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symbolic+load_store_indexing, name=f"index_buf_{buf.arg}")
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# extract all the relevant offsets
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offsets_rootsrc: defaultdict[Any, dict[int, list[int]]] = defaultdict(dict)
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@@ -93,7 +95,7 @@ def expand_index(buf:UOp, vec:UOp):
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assert None not in idxs, f"some idxs are missing {idxs}"
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# this base thing is for image, we want the CAT to be a normal pointer
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post_cat = UOp(Ops.PTRCAT, buf.ptrdtype.base.ptr(size=buf.ptrdtype.size, addrspace=buf.ptrdtype.addrspace).vec(global_offset), tuple(ret))
|
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return post_cat.gep(tuple(cast(list[int], idxs)))
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return post_cat.gep(tuple(cast(list[int], idxs))).substitute({buf_target:buf})
|
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|
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def cat_after_store(cat:UOp, data:UOp, sto:UOp):
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||||
# TODO: this is written in many places
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|
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@@ -0,0 +1,112 @@
|
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import functools
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from tinygrad.uop.ops import PatternMatcher, UPat, Ops, UOp
|
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from tinygrad.dtype import dtypes
|
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from tinygrad.helpers import cdiv, cmod, CORRECT_DIVMOD_FOLDING, unwrap
|
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|
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# NOTE: this cache is only on index UOps and matches the cache in the old ShapeTracker in spirit
|
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@functools.cache
|
||||
def fold_divmod_general(d: UOp, correct_divmod_folding: bool) -> UOp|None:
|
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x, y = d.src
|
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|
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# cancel_divmod: simple cancel div/mod case when the range of the numerator lies within a single denominator interval
|
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x_min, x_max, y_min, y_max = x.vmin, x.vmax, y.vmin, y.vmax
|
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assert isinstance(x_min, int) and isinstance(x_max, int) and isinstance(y_min, int) and isinstance(y_max, int)
|
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if y_min==y_max==0: raise ZeroDivisionError(f"{'Division' if d.op is Ops.IDIV else 'Mod'} by zero trying to rewrite {x.alu(d.op, y)}")
|
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if y_min*y_max > 0 and (q:=cdiv(x_min,y_min)) == cdiv(x_min,y_max) == cdiv(x_max,y_min) == cdiv(x_max,y_max):
|
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return x - q*y if d.op is Ops.MOD else d.const_like(q)
|
||||
|
||||
# split uops for the rest of the processing
|
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x_peeled, const = x.pop_const()
|
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uops_no_const = list(x_peeled.split_uop(Ops.ADD))
|
||||
|
||||
# ** Constant Denominator Rules **
|
||||
# these rules strictly require y to be a scalar constant > 0
|
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if y.op is Ops.CONST and (c := y.arg) > 0:
|
||||
# remove_nested_mod: remove nested mod in case the inner mod is a multiple of the outer mod, example: (a%4 + b)%2 -> (a+b)%2
|
||||
if d.op is Ops.MOD and x.vmin >= 0:
|
||||
new_xs, changed = [], False
|
||||
for u in uops_no_const:
|
||||
if u.op is Ops.MOD and u.src[1].divides(c) is not None:
|
||||
u = u.src[0]
|
||||
changed = True
|
||||
new_xs.append(u)
|
||||
if changed and (new_x:=(UOp.sum(*new_xs) + const)).vmin >= 0: return new_x % y
|
||||
|
||||
# Shared decomposition for folding rules
|
||||
decomp = [(u.divides(f:=u.const_factor()),f) for u in uops_no_const]
|
||||
terms, factors = zip(*decomp)
|
||||
|
||||
# fold_binary_numerator: fold if expression has one non-constant term that takes on two values
|
||||
if len(terms)==1 and (v:=terms[0]).vmax-v.vmin == 1:
|
||||
y1 = cmod(factors[0]*v.vmin+const, c) if d.op is Ops.MOD else cdiv(factors[0]*v.vmin+const, c)
|
||||
y2 = cmod(factors[0]*v.vmax+const, c) if d.op is Ops.MOD else cdiv(factors[0]*v.vmax+const, c)
|
||||
return (y2-y1)*(v-v.vmin) + y1
|
||||
|
||||
# fold_divmod_congruence: fold if a is congruent to an expression whose range is between 0 and c
|
||||
if not (x.vmin<0 and correct_divmod_folding):
|
||||
rems = [min((r:=f%c), r-c, key=abs) for f in factors]
|
||||
if (rem:=sum(r*v for r,v in zip(rems,terms))+const%c).vmin//c==rem.vmax//c:
|
||||
if d.op is Ops.MOD: return rem - rem.vmin//c*c
|
||||
return sum((f-r)//c * v for f,r,v in zip(factors,rems,terms)) + (const-const%c+rem.vmin//c*c)//c
|
||||
|
||||
# gcd_with_remainder: factor out common gcd from numerator
|
||||
# Note: this rule uses uops_no_const to exclude the additive constant from the GCD calculation
|
||||
if x.vmin >= 0:
|
||||
gcd = UOp.gcd(*uops_no_const, y).simplify()
|
||||
if gcd.op is Ops.CONST and gcd.arg > 1:
|
||||
new_x = unwrap(x_peeled.divide_exact(gcd)).simplify() + (const%c)//gcd.arg
|
||||
if new_x.vmin >= 0:
|
||||
ret = new_x.alu(d.op, x.ufix(c//gcd.arg))
|
||||
return ret*gcd + const%gcd.arg if d.op is Ops.MOD else ret+const//c
|
||||
|
||||
# nest_div_by_smallest_factor: try and nest the div and see if it allows the numerator to be simplified
|
||||
if d.op is Ops.IDIV and x.vmin >= 0:
|
||||
div = min([c] + [abs(f) for u, f in zip(uops_no_const, factors) if u.op not in (Ops.CONST, Ops.VCONST) and abs(f) > 1 and (c%f)==0])
|
||||
# NOTE: this is recursive!
|
||||
if div < c and (newxs := fold_divmod_general(x//div, correct_divmod_folding)) is not None and newxs.vmin >= 0:
|
||||
return newxs // (c // div)
|
||||
|
||||
# ** Variable Denominator / Fallback Rules **
|
||||
# These rules apply to variables OR constants that failed the checks above.
|
||||
# Reconstruct all uops including const for these checks.
|
||||
all_uops = uops_no_const + ([x.const_like(const)] if const != 0 else [])
|
||||
|
||||
# divide_by_gcd: x//y -> (x//gcd)//(y//gcd)
|
||||
gcd = UOp.gcd(*all_uops, y).simplify()
|
||||
if not (gcd.op is Ops.CONST and gcd.arg==1):
|
||||
ret = unwrap(x.divide_exact(gcd)).alu(d.op, unwrap(y.divide_exact(gcd)))
|
||||
return ret*gcd if d.op is Ops.MOD else ret
|
||||
|
||||
# factor_remainder: (d*x+y)//d -> x+y//d
|
||||
if y.vmin<0 or x.vmin<0: return None
|
||||
quo, rem = [], []
|
||||
for u in all_uops:
|
||||
if (q:=u.divide_exact(y)) is not None: quo.append(q)
|
||||
elif d.op is Ops.MOD and y.op is Ops.CONST and (c:=u.const_factor())%y.arg!=c:
|
||||
rem.append(u.divides(c)*(c%y.arg))
|
||||
quo.append(u.const_like(0))
|
||||
else: rem.append(u)
|
||||
|
||||
if not quo: return None
|
||||
new_x = sum(rem)+x.const_like(0)
|
||||
if new_x.vmin<0: return None
|
||||
return new_x%y if d.op is Ops.MOD else new_x//y+sum(quo)
|
||||
|
||||
div_and_mod_symbolic = PatternMatcher([
|
||||
# ** 1. Fast Inline Rules **
|
||||
((UPat.var("x")//UPat.cvar("c") + UPat.cvar("a"))//UPat.cvar("d"), lambda x,c,a,d: (x+a*c)//(c*d)
|
||||
if c.vmin>0 and d.vmin>0 and ((x.vmin>=0 and a.vmin>=0) or (x.vmax<=0 and a.vmax<=0)) else None), # (x//c+a)//d -> (x+a*c)//(c*d)
|
||||
(UPat.var("x", dtypes.index) // UPat.var("d"), lambda x,d: -(x//(-d)) if d.vmax < 0 else None),
|
||||
(UPat.var("x", dtypes.index) // UPat.var("d"), lambda x,d: -((-x)//d) if x.vmax <= 0 else None),
|
||||
((UPat.var("x", dtypes.index)+UPat.cvar("c", vec=False)).named("n")//UPat.cvar("d", vec=False),
|
||||
lambda x,c,n,d: ((x+c.arg%d.arg)//d + c.arg//d.arg) if c.arg%d.arg!=c.arg and x.vmin>=0 and n.vmin>=0 and d.arg>0 else None),
|
||||
((UPat.var("x", dtypes.index)+UPat.cvar("c", vec=False)).named("n")//UPat.cvar("d", vec=False),
|
||||
lambda x,c,n,d: (-(-(c.arg%d.arg + x - (d.arg-1))//d) + c.arg//d.arg) if x.vmax<=0 and n.vmin>=0 and d.arg>0 else None),
|
||||
|
||||
# ** 2. Slow Rules **
|
||||
(UPat((Ops.IDIV, Ops.MOD), dtypes.index, name="d"), lambda d: fold_divmod_general(d, bool(CORRECT_DIVMOD_FOLDING))),
|
||||
|
||||
# NOTE: these have to go at the bottom or TestSymbolicOps.test_var loops
|
||||
(UPat.var("x", dtypes.index) % UPat.var("d"), lambda x,d: -((-x)%d) if x.vmax <= 0 else None),
|
||||
(UPat.var("x", dtypes.index) % UPat.var("d"), lambda x,d: (x%(-d)) if d.vmax < 0 else None),
|
||||
])
|
||||
@@ -615,6 +615,7 @@ class UOp(OpMixin, metaclass=UOpMetaClass):
|
||||
|
||||
def buf_target(self) -> UOp:
|
||||
# the buffer that's being loaded from or store to
|
||||
# NOTE: this is the good one to keep
|
||||
match self.op:
|
||||
case Ops.DEFINE_GLOBAL | Ops.DEFINE_LOCAL | Ops.DEFINE_REG: return self
|
||||
case Ops.AFTER | Ops.INDEX | Ops.STORE | Ops.LOAD: return self.src[0].buf_target()
|
||||
|
||||
+4
-131
@@ -3,8 +3,9 @@ import math, operator, struct, functools
|
||||
from collections import defaultdict
|
||||
from tinygrad.uop.ops import Ops, PatternMatcher, UPat, UOp, GroupOp, exec_alu
|
||||
from tinygrad.dtype import ConstType, dtypes, PtrDType, can_safe_cast, Invalid
|
||||
from tinygrad.helpers import partition, all_same, prod, flatten, get_single_element, cdiv, cmod, CORRECT_DIVMOD_FOLDING, unwrap
|
||||
from tinygrad.helpers import partition, all_same, prod, flatten, get_single_element, unwrap
|
||||
from tinygrad.uop.decompositions import xpow
|
||||
from tinygrad.uop.divandmod import div_and_mod_symbolic
|
||||
|
||||
# ******** phase 1 of symbolic used to live in ops, it's the most generic folding rules ********
|
||||
|
||||
@@ -102,13 +103,11 @@ symbolic_simple = propagate_invalid + PatternMatcher([
|
||||
# positive const ** x
|
||||
(UPat.cvar("c", vec=False).alu(Ops.POW, UPat.var("x")), lambda c,x: c if c.arg == 1 else (x*math.log2(c.arg)).exp2() if c.arg > 0 else None),
|
||||
# rules for threefry
|
||||
((UPat.var('x', dtypes.uint64)&0xFFFFFFFF).cast(dtypes.uint32), lambda x: x.cast(dtypes.uint32)&0xFFFFFFFF), # TODO: why is the and needed?
|
||||
((UPat.var('x', dtypes.uint64)&0xFFFFFFFF).cast(dtypes.uint32), lambda x: x.cast(dtypes.uint32)),
|
||||
(((UPat.var(None, dtypes.uint64)*(1<<32)) | UPat.var('y', dtypes.uint32).cast(dtypes.uint64)).cast(dtypes.uint32), lambda y: y),
|
||||
(((UPat.var('x', dtypes.uint64)*(1<<32)) | UPat.var(None, dtypes.uint32).cast(dtypes.uint64))//(1<<32), lambda x: x),
|
||||
# new decomp rules for threefry
|
||||
(((UPat.var(None, dtypes.uint64)<<32) | UPat.var('y', dtypes.uint32).cast(dtypes.uint64)).cast(dtypes.uint32), lambda y: y),
|
||||
(((UPat.var('x', dtypes.uint64)<<32) | UPat.var(None, dtypes.uint32).cast(dtypes.uint64))>>32, lambda x: x),
|
||||
(UPat.var('b').where(UPat.var('x', dtypes.uint32).cast(dtypes.uint64), UPat.const(dtypes.uint64, 0)).cast(dtypes.uint32), lambda b,x: b.where(x,0)),
|
||||
# ** simple where folding **
|
||||
# a conditional with the same results either way is a noop, also fold const conditionals
|
||||
(UPat.var().where(UPat.var("val"), UPat.var("val")), lambda val: val),
|
||||
@@ -138,101 +137,6 @@ def canonicalize_simplex(X:UOp) -> UOp|None:
|
||||
ret.append(u)
|
||||
return UOp.sum(*ret) if changed else None
|
||||
|
||||
def cancel_divmod(d: UOp, x: UOp, y: UOp) -> UOp|None:
|
||||
# simple cancel div/mod case when the range of the numerator lies within a single denominator interval
|
||||
x_min, x_max, y_min, y_max = x.vmin, x.vmax, y.vmin, y.vmax
|
||||
assert isinstance(x_min, int) and isinstance(x_max, int) and isinstance(y_min, int) and isinstance(y_max, int)
|
||||
if y_min==y_max==0: raise ZeroDivisionError(f"{'Division' if d.op is Ops.IDIV else 'Mod'} by zero trying to rewrite {x.alu(d.op, y)}")
|
||||
if y_min*y_max > 0 and (q:=cdiv(x_min,y_min)) == cdiv(x_min,y_max) == cdiv(x_max,y_min) == cdiv(x_max,y_max):
|
||||
return x - q*y if d.op is Ops.MOD else d.const_like(q)
|
||||
return None
|
||||
|
||||
def remove_nested_mod(m: UOp, x: UOp, y: UOp) -> UOp|None:
|
||||
# remove nested mod in case the inner mod is a multiple of the outer mod
|
||||
# example: (a%4 + b)%2 -> (a+b)%2
|
||||
if ((c := y.arg) < 0) or x.vmin<0: return None
|
||||
new_xs = []
|
||||
something_changed = False
|
||||
for u in x.split_uop(Ops.ADD):
|
||||
if u.op is Ops.MOD:
|
||||
if u.src[1].divides(c) is not None:
|
||||
something_changed = True
|
||||
u = u.src[0]
|
||||
new_xs.append(u)
|
||||
new_x: UOp = UOp.sum(*new_xs)
|
||||
if something_changed and new_x.vmin>=0: return new_x % y
|
||||
return None
|
||||
|
||||
def fold_binary_numerator(d: UOp, x: UOp, y: UOp) -> UOp|None:
|
||||
# we can fold if the expression has only one non-constant term and this term can only take on two values
|
||||
if ((c := y.arg) < 0): return None
|
||||
x,const = x.pop_const()
|
||||
terms, factors = zip(*[(u.divides(f:=u.const_factor()),f) for u in x.split_uop(Ops.ADD)])
|
||||
if len(terms)==1 and (v:=terms[0]).vmax-v.vmin == 1:
|
||||
y1 = cmod(factors[0]*v.vmin+const, c) if d.op is Ops.MOD else cdiv(factors[0]*v.vmin+const, c)
|
||||
y2 = cmod(factors[0]*v.vmax+const, c) if d.op is Ops.MOD else cdiv(factors[0]*v.vmax+const, c)
|
||||
return (y2-y1)*(v-v.vmin) + y1
|
||||
return None
|
||||
|
||||
def fold_divmod_congruence(d: UOp, x: UOp, y: UOp) -> UOp|None:
|
||||
# within a mod we can freely subtract multiples of c, we use this to see if a is congruent to an expression whose vmin/vmax are between 0 and c
|
||||
if (x.vmin<0 and CORRECT_DIVMOD_FOLDING) or ((c := y.arg) < 0): return None
|
||||
x,const = x.pop_const()
|
||||
terms, factors = zip(*[(u.divides(f:=u.const_factor()),f) for u in x.split_uop(Ops.ADD)])
|
||||
# a//c = (a-a%c)/c, if we can fold a%c, we can fold a//c
|
||||
rems = [min((r:=f%c), r-c, key=abs) for f in factors]
|
||||
if (rem:=sum(r*v for r,v in zip(rems,terms))+const%c).vmin//c!=rem.vmax//c: return None
|
||||
if d.op is Ops.MOD: return rem - rem.vmin//c*c
|
||||
return sum((f-r)//c * v for f,r,v in zip(factors,rems,terms)) + (const-const%c+rem.vmin//c*c)//c
|
||||
|
||||
def divide_by_gcd(d: UOp, x: UOp, y: UOp) -> UOp|None:
|
||||
# x//y -> (x//gcd)//(y//gcd) or x%y -> gcd*(x//gcd)%(y//gcd)
|
||||
gcd = UOp.gcd(*x.split_uop(Ops.ADD), y).simplify()
|
||||
if gcd.op is Ops.CONST and gcd.arg==1: return None
|
||||
ret = unwrap(x.divide_exact(gcd)).alu(d.op, unwrap(y.divide_exact(gcd)))
|
||||
return ret*gcd if d.op is Ops.MOD else ret
|
||||
|
||||
def gcd_with_remainder(d: UOp, x: UOp, y: UOp):
|
||||
# (gcd*x+r)//(gcd*d) -> (x+(r%d)//gcd)//d + r//(gcd*d)
|
||||
# (gcd*x+r)%(gcd*d) -> gcd*(x+(r%d)//gcd)%d + r%gcd
|
||||
# These only work for floordiv (and the corresponding remainder)! Thats why we check the sign of x,y and new_x
|
||||
if ((c := y.arg) < 0) or x.vmin<0: return None
|
||||
x_no_const, const = x.pop_const()
|
||||
gcd = UOp.gcd(*x_no_const.split_uop(Ops.ADD), y).simplify()
|
||||
assert gcd.op is Ops.CONST
|
||||
if gcd.arg==1: return None
|
||||
new_x = unwrap(x_no_const.divide_exact(gcd)).simplify() + (const%c)//gcd
|
||||
if new_x.vmin<0: return None
|
||||
ret = new_x.alu(d.op, x.ufix(c//gcd.arg))
|
||||
return ret*gcd + const%gcd.arg if d.op is Ops.MOD else ret+const//c
|
||||
|
||||
def factor_remainder(d: UOp, x: UOp, y: UOp) -> UOp|None:
|
||||
# (d*x+y)//d -> x+y//d or (d*x+y)%d
|
||||
# for mod we go further and take the remainder of all factors to reduce their size
|
||||
# These only work for floordiv (and the corresponding remainder)! Thats why we check the sign of x,y and new_x
|
||||
if y.vmin<0 or x.vmin<0: return None
|
||||
quo, rem = [], []
|
||||
for u in x.split_uop(Ops.ADD):
|
||||
if (q:=u.divide_exact(y)) is not None: quo.append(q)
|
||||
# if this is mod and y is a const, we can make the remainder factor sm
|
||||
elif d.op is Ops.MOD and y.op is Ops.CONST and (c:=u.const_factor())%y.arg!=c:
|
||||
rem.append(u.divides(c)*(c%y.arg))
|
||||
quo.append(u.const_like(0)) # we append this so we can check if something changed
|
||||
else: rem.append(u)
|
||||
new_x = sum(rem)+x.const_like(0)
|
||||
if len(quo)==0 or new_x.vmin<0: return None
|
||||
return new_x%y if d.op is Ops.MOD else new_x//y+sum(quo)
|
||||
|
||||
def nest_div_by_smallest_factor(d: UOp, x: UOp, y: UOp) -> UOp|None:
|
||||
# we try and nest the div and see if it allows the numerator to be simplified
|
||||
if ((c := y.arg) < 0): return None
|
||||
factors = [u.const_factor() for u in x.split_uop(Ops.ADD) if u.op not in (Ops.CONST, Ops.VCONST)]
|
||||
div = min([y.arg]+[abs(f) for f in factors if abs(f) > 1 and (c%f)==0])
|
||||
newxs = fold_divmod_congruence(newx:=(x//div), x, y.const_like(div))
|
||||
if newxs is None: newxs = factor_remainder(newx, x, y.const_like(div))
|
||||
if div==y.arg or newxs is None or x.vmin<0 or newx.vmin<0: return None
|
||||
return newxs//(c//div)
|
||||
|
||||
def gep_through_wmma(gep:UOp, wmma:UOp):
|
||||
out_sz = prod(x[1] for x in wmma.arg[6][-1])
|
||||
wmma_idxs = gep.arg[::out_sz]
|
||||
@@ -335,31 +239,9 @@ symbolic = symbolic_simple+commutative+PatternMatcher([
|
||||
# canonicalize a simplex with positive coefficients > 0
|
||||
# not x < 1 -> X > 0
|
||||
((UPat.var("x", dtypes.index)<1).ne(True), lambda x: (newx<1).ne(True) if (newx:=canonicalize_simplex(x)) is not None else None),
|
||||
# ** div **
|
||||
# div folding
|
||||
((UPat.var("x")//UPat.cvar("c") + UPat.cvar("a"))//UPat.cvar("d"), lambda x,c,a,d: (x+a*c)//(c*d)
|
||||
if c.vmin>0 and d.vmin>0 and ((x.vmin>=0 and a.vmin>=0) or (x.vmax<=0 and a.vmax<=0)) else None), # (x//c+a)//d -> (x+a*c)//(c*d)
|
||||
# a range mod its own upper bound is just the range
|
||||
(UPat(Ops.RANGE, src=UPat.var("end"), name="r")%UPat.var("end"), lambda r,end: r),
|
||||
(UPat(Ops.RANGE, src=UPat.var("end"), name="r")//UPat.var("end"), lambda r,end: r.const_like(0)),
|
||||
(UPat((Ops.IDIV, Ops.MOD), dtypes.index, name="d", src=(UPat.var("x"), UPat.var("y"))), cancel_divmod),
|
||||
(UPat.var("x", dtypes.index) // UPat.var("d"), lambda x,d: -(x//(-d)) if d.vmax < 0 else None),
|
||||
(UPat((Ops.IDIV, Ops.MOD), dtypes.index, name="d", src=(UPat.var("x"), UPat.cvar("y", vec=False))), fold_binary_numerator),
|
||||
(UPat((Ops.IDIV, Ops.MOD), dtypes.index, name="d", src=(UPat.var("x"), UPat.cvar("y", vec=False))), fold_divmod_congruence),
|
||||
(UPat((Ops.IDIV, Ops.MOD), dtypes.index, name="d", src=(UPat.var("x"), UPat.var("y"))), divide_by_gcd),
|
||||
(UPat((Ops.IDIV, Ops.MOD), dtypes.index, name="d", src=(UPat.var("x"), UPat.cvar("y", vec=False))), gcd_with_remainder),
|
||||
(UPat(Ops.MOD, dtypes.index, name="m", src=(UPat.var("x"), UPat.cvar("y", vec=False))), remove_nested_mod),
|
||||
(UPat((Ops.IDIV), dtypes.index, name="d", src=(UPat.var("x"), UPat.cvar("y", vec=False))), nest_div_by_smallest_factor),
|
||||
(UPat((Ops.IDIV, Ops.MOD), dtypes.index, name="d", src=(UPat.var("x"), UPat.var("y"))), factor_remainder),
|
||||
(UPat.var("x", dtypes.index) // UPat.var("d"), lambda x,d: -((-x)//d) if x.vmax<=0 else None),
|
||||
((UPat.var("x", dtypes.index)+UPat.cvar("c", vec=False)).named("n")//UPat.cvar("d", vec=False),
|
||||
lambda x,c,n,d: ((x+c.arg%d.arg)//d + c.arg//d.arg) if c.arg%d.arg!=c.arg and x.vmin>=0 and n.vmin>=0 and d.arg>0 else None),
|
||||
((UPat.var("x", dtypes.index)+UPat.cvar("c", vec=False)).named("n")//UPat.cvar("d", vec=False),
|
||||
lambda x,c,n,d: (-(-(c.arg%d.arg + x - (d.arg-1))//d) + c.arg//d.arg) if x.vmax<=0 and n.vmin>=0 and d.arg>0 else None),
|
||||
# ** mod **
|
||||
# mod folding
|
||||
(UPat.var("x", dtypes.index) % UPat.var("d"), lambda x,d: -((-x)%d) if x.vmax <= 0 else None),
|
||||
(UPat.var("x", dtypes.index) % UPat.var("d"), lambda x,d: (x%(-d)) if d.vmax < 0 else None),
|
||||
# cast/long folding
|
||||
# if the intermediate cast doesnt narrow we can do it in one cast
|
||||
(UPat.var('x').cast(name="a").cast(name="b"), lambda x,a,b: x.cast(b.dtype) if can_safe_cast(x.dtype, a.dtype) else None),
|
||||
@@ -376,7 +258,7 @@ symbolic = symbolic_simple+commutative+PatternMatcher([
|
||||
(UPat(Ops.AFTER, src=(UPat.var("s"),)), lambda s: s),
|
||||
# VECTORIZE/CONST
|
||||
(UPat(Ops.VECTORIZE, src=UPat(Ops.CONST), name="vec"), lambda vec: UOp.const(vec.dtype, tuple(x.arg for x in vec.src))),
|
||||
])+gep_pushing
|
||||
])+div_and_mod_symbolic+gep_pushing
|
||||
|
||||
# ******** we take a small aside to "simplify_valid" to rewrite valids ********
|
||||
|
||||
@@ -490,18 +372,9 @@ pm_simplify_valid = PatternMatcher([
|
||||
# this is symbolic 2.0
|
||||
REMOVE_FROM_SINK_LIKE = {Ops.UNROLL, Ops.NOOP, Ops.VECTORIZE, Ops.SINK}
|
||||
sym = symbolic+pm_simplify_valid+PatternMatcher([
|
||||
# VECTORIZE/GEP
|
||||
(UPat(Ops.VECTORIZE, src=UPat(Ops.GEP, src=(UPat.var("x"),)), name="vec"), lambda vec,x: x.gep(tuple(y.arg[0] for y in vec.src))),
|
||||
# reorder ALU/VECTORIZE
|
||||
(UPat(GroupOp.ALU, src=(UPat(Ops.VECTORIZE, src=UPat(name='x')), UPat(Ops.VECTORIZE, src=UPat(name='y'))), name='alu'),
|
||||
lambda x,y,alu: UOp(Ops.VECTORIZE, alu.dtype, (UOp(alu.op, alu.dtype.scalar(), (x,y)),)*alu.dtype.count)),
|
||||
# VECTORIZE of a single element is just that element
|
||||
(UPat(Ops.VECTORIZE, src=(UPat(name='x'),)), lambda x: x),
|
||||
# VECTORIZE void is GROUP
|
||||
(UPat(Ops.VECTORIZE, dtype=dtypes.void, name='x'), lambda x: UOp.group(*x.src)),
|
||||
# tensor core with a 0 input is acc
|
||||
(UPat(Ops.WMMA, src=(UPat.const(None, 0.0), UPat.var(), UPat.var("acc"))), lambda acc: acc),
|
||||
(UPat(Ops.WMMA, src=(UPat.var(), UPat.const(None, 0.0), UPat.var("acc"))), lambda acc: acc),
|
||||
# ** self folding **
|
||||
# x!=0 -> (bool)x
|
||||
(UPat.var("x")!=0, lambda x: x.cast(dtypes.bool.vec(x.dtype.count))),
|
||||
|
||||
Reference in New Issue
Block a user