Files
tinygrad/tinygrad/shape/__init__.py
2023-02-07 15:43:44 -06:00

244 lines
10 KiB
Python

# ShapeTracker allows movement operations to a buffer that don't require a copy to be made.
from __future__ import annotations
import functools
from typing import Tuple, Union, List, Optional
from tinygrad.helpers import prod, getenv
from tinygrad.shape.symbolic import Variable
# TODO: fix DEBUG import
DEBUG = getenv("DEBUG", 0)
@functools.lru_cache(maxsize=None)
def to_shape_strides(shape:Tuple[int, ...], strides:Tuple[int, ...]) -> List[Tuple[int, int]]:
assert len(shape) == len(strides)
ret = [(shape[0], strides[0])] if len(shape) > 0 else []
for i in range(1, len(shape)):
if (strides[i] != 0 and ret[-1][1] == shape[i]*strides[i]) or ret[-1][0] == 1 or (strides[i] == 0 and ret[-1][1] == 0):
ret[-1] = (ret[-1][0] * shape[i], strides[i])
else:
ret.append((shape[i], strides[i]))
return ret
class View:
__slots__ = ('shape', 'strides', 'offset', 'shape_strides', 'contiguous')
def __init__(self, shape:Tuple[int, ...], strides:Tuple[int, ...], offset:int=0):
self.shape, self.strides, self.offset = shape, strides, offset
self.shape_strides = to_shape_strides(self.shape, self.strides)
self.contiguous : bool = self.offset == 0 and all(s1 == s2 or s == 1 for s,s1,s2 in zip(self.shape, self.strides, strides_for_shape(self.shape)))
def __repr__(self): return f"View({self.shape}, {self.strides}, {self.offset})"
def expr_node(self, idx):
ret = [Variable.num(self.offset)]
acc = 1
for d,s in self.shape_strides[::-1]:
if d != 1 and s != 0:
ret.append(((idx//acc)%d)*s)
acc *= d
return Variable.sum(ret)
@property
def expr(self) -> str:
return 'idx=' + str(self.expr_node(Variable('idx', 0, prod([x[0] for x in self.shape_strides])-1)))
# generate an expression if you have a variable or expression for each index
def expr_idxs(self, idxs, offset=0):
return Variable.sum([Variable.num(self.offset+offset)] + [Variable(idxs[i], 0, sh-1)*st for i,(sh,st) in enumerate(zip(self.shape, self.strides)) if sh != 1 and st != 0])
class ZeroView:
__slots__ = ('old_shape', 'arg', 'shape', 'contiguous', 'strides', 'offset')
def __init__(self, old_shape:Tuple[int, ...], arg):
self.old_shape, self.arg = old_shape, arg
self.shape : Tuple[int, ...] = tuple([y-x for x,y in self.arg])
# fake properties
self.strides, self.contiguous, self.offset = strides_for_shape(self.shape), False, 0
def expr_idxs(self, idxs, offset=0): raise NotImplementedError("ZeroView doesn't have expr_idxs")
def expr_node(self, valid, idx):
expr, acc = [valid] if valid is not None else [], 1
for s,ns,(x,y) in list(zip(self.old_shape, self.shape, self.arg))[::-1]:
base = ((idx//acc) % ns) + x
expr += ([base >= 0] if x < 0 else []) + ([base < s] if y > s else [])
acc *= ns
return Variable.ands(expr)
@property
def expr(self) -> str:
max_idx = prod([y-x for x,y in self.arg])
return 'valid=' + str(self.expr_node(Variable('valid', 0, 1), Variable('idx', 0, max_idx-1)))
def __repr__(self): return f"ZeroView({self.old_shape}, {self.arg})"
ViewTypes = Union[View, ZeroView]
@functools.lru_cache(maxsize=None)
def strides_for_shape(shape:Tuple[int, ...]) -> Tuple[int, ...]:
strides = [1]
for d in shape[::-1][:-1]:
strides = [d*strides[0]] + strides
# TODO: should we 0 out all the strides where the shape is 1?
return tuple(strides)
@functools.lru_cache(maxsize=None)
def view_from_shape(shape:Tuple[int, ...]) -> View:
assert all(isinstance(x, int) for x in shape) and len(shape) != 0
return View(tuple(shape), strides_for_shape(shape))
class ShapeTracker:
__slots__ = ('views')
def __init__(self, shape:Union[ShapeTracker, Tuple[int, ...]], views:Optional[List[ViewTypes]]=None):
self.views : List[ViewTypes] = views if views is not None else (shape.views[:] if isinstance(shape, ShapeTracker) else [view_from_shape(shape)])
def __repr__(self): return f"ShapeTracker(shape={self.shape}, views={self.views})"
def copy(self) -> ShapeTracker: return ShapeTracker(self.shape, self.views[:])
@property
def contiguous(self) -> bool: return len(self.views) == 1 and self.views[-1].contiguous
@property
def shape(self) -> Tuple[int, ...]: return self.views[-1].shape
@property
def strides(self) -> Tuple[int, ...]: return self.views[-1].strides
@property
def offset(self) -> int: return self.views[-1].offset
# TODO: pass in the idxs?
def expr_idxs(self, offset=0):
idx = self.views[-1].expr_idxs([f"idx{i}" for i in range(len(self.shape))], offset)
valid = Variable.num(1)
for v in self.views[0:-1][::-1]:
if isinstance(v, ZeroView): valid = v.expr_node(valid, idx)
else: idx = v.expr_node(idx)
return idx, valid
def expr_node(self):
idx = Variable('idx', 0, prod(self.shape)-1)
valid = None #Variable.num(1)
for v in self.views[::-1]:
if isinstance(v, ZeroView): valid = v.expr_node(valid, idx)
else: idx = v.expr_node(idx)
return idx, valid
def expr(self) -> str:
idx, valid = self.expr_node()
if valid is not None and str(valid) != "valid": return f"valid={valid};idx={idx}"
else: return f"idx={idx}"
#def expr(self): return ';'.join([v.expr for v in self.views[::-1] if v.expr != 'idx=idx' and v.expr != 'valid=valid'])
def movement_op(self, op, arg:Union[Tuple[int, ...], Tuple[Tuple[int, int], ...]]) -> ShapeTracker:
return getattr(self, str(op).split(".")[1].lower())(arg)
def needs_valid(self) -> bool:
return any(isinstance(v, ZeroView) for v in self.views)
# TODO: do we really need this for conv?
# if we replace, confirm the ops taken fold into one view
def strided(self, arg : Tuple[Tuple[int, int], ...]) -> ShapeTracker:
assert isinstance(arg, tuple)
view = View(tuple(x[0] for x in arg), tuple(x[1] for x in arg))
# TODO: this does not always require a new view if non contiguous
if self.views[-1].contiguous:
self.views[-1] = view
else:
self.views.append(view)
return self
def reshape(self, new_shape : Tuple[int, ...]) -> ShapeTracker:
assert isinstance(new_shape, tuple)
if self.shape == new_shape: return self
assert all(isinstance(x, int) and x != 0 for x in new_shape), f"shape must be ints and can't contain 0 {new_shape}"
assert prod(self.shape) == prod(new_shape), f"can't reshape {self.shape} -> {new_shape}"
# check if this is adding or removing 1s (only)
if tuple(x for x in self.shape if x != 1) == tuple(x for x in new_shape if x != 1):
old_strides = [y for x,y in zip(self.shape, self.strides) if x != 1]
new_strides_tuple = tuple(0 if x == 1 else old_strides.pop(0) for x in new_shape)
self.views[-1] = View(new_shape, new_strides_tuple, self.offset)
return self
# check if the new dimensions factorize from the old ones
# NOTE: if you don't make a copy here, the list is popped in the lrucache
min_shape_strides = to_shape_strides(self.shape, self.strides)[:]
curr_dim, curr_stride = min_shape_strides.pop(0)
new_strides : List[int] = []
for s in new_shape:
if curr_dim%s == 0:
curr_dim //= s
new_strides.append(curr_stride * curr_dim)
if curr_dim == 1:
if len(min_shape_strides) == 0:
# there might still be 1s in the shape
while len(new_strides) != len(new_shape):
assert new_shape[len(new_strides)] == 1
new_strides.append(1)
break
curr_dim, curr_stride = min_shape_strides.pop(0)
else:
break # didn't factorize
if len(new_shape) == len(new_strides):
self.views[-1] = View(new_shape, tuple(new_strides), self.offset)
return self
view = View(new_shape, strides_for_shape(new_shape))
if self.contiguous:
self.views[-1] = view # NOTE: if it's contiguous it can't have an offset
else:
if DEBUG >= 3: print(f"WARNING: reshape from {self.shape} w strides {self.strides} -> {new_shape} is creating another view")
self.views.append(view)
return self
def permute(self, axis : Tuple[int, ...]) -> ShapeTracker:
assert isinstance(axis, tuple)
assert all(isinstance(x, int) and x >= 0 and x < len(self.shape) for x in axis), f"invalid permute {axis} for {self.shape}"
assert len(set(axis)) == len(axis) and len(axis) == len(self.shape), f"can't permute {self.shape} with {axis}"
self.views[-1] = View(tuple(self.shape[a] for a in axis), tuple(self.strides[a] for a in axis), self.offset)
return self
# TODO: this is a special case of slice with strides, remove it
# though it's nice that it can't change size
def flip(self, axis : Tuple[int, ...]) -> ShapeTracker:
return self.stride(tuple(-1 if i in axis else 1 for i in range(len((self.shape)))))
# *** under this line are not invertible ***
# TODO: take this functionality out of slice
def pad(self, arg : Tuple[Tuple[int, int], ...]) -> ShapeTracker:
assert isinstance(arg, tuple)
assert all((b>=0 and e>=0) for b,e in arg) and len(arg) == len(self.shape)
return self.shrink(tuple((-b,s+e) for s,(b,e) in zip(self.shape, arg)))
# TODO: take the pad functionality out of shrink
def shrink(self, arg : Tuple[Tuple[int, int], ...]) -> ShapeTracker:
assert isinstance(arg, tuple)
assert len(arg) == len(self.shape)
offset = sum([self.strides[i]*x for i,(x,_) in enumerate(arg)])
zeroview = ZeroView(self.shape, arg)
self.views[-1] = View(tuple(y-x for x,y in arg), self.strides, self.offset+offset)
if zeroview.expr != "valid=valid":
# if we add a ZeroView, we add another (stock) view also for modding
self.views += [zeroview, View(self.shape, strides_for_shape(self.shape))]
return self
def expand(self, new_shape : Tuple[int, ...]) -> ShapeTracker:
assert isinstance(new_shape, tuple)
assert all(isinstance(x, int) for x in new_shape)
assert all(x == y or x == 1 for x,y in zip(self.shape, new_shape)), f"can't expand {self.shape} into {new_shape}"
strides : Tuple[int, ...] = tuple(s if x == y else 0 for s,(x,y) in zip(self.strides, zip(self.shape, new_shape)))
self.views[-1] = View(new_shape, strides, self.offset)
return self
# TODO: combine with slice? this doesn't require a ZeroView, though slice shouldn't always either
def stride(self, mul : Tuple[int, ...]) -> ShapeTracker:
assert isinstance(mul, tuple)
assert all(isinstance(x, int) for x in mul)
strides = tuple(z*m for z,m in zip(self.strides, mul))
new_shape = tuple((s+(abs(m)-1))//abs(m) for s,m in zip(self.shape, mul))
offset = sum([(s-1)*z for s,z,m in zip(self.shape, self.strides, mul) if m < 0])
self.views[-1] = View(new_shape, strides, self.offset + offset)
return self