216 lines
10 KiB
Python
216 lines
10 KiB
Python
# ShapeTracker allows movement operations to a buffer that don't require a copy to be made.
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from __future__ import annotations
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import functools
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from typing import Tuple, Union, List, Optional, cast
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from tinygrad.helpers import prod, DEBUG
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from tinygrad.shape.symbolic import Variable, MulNode, NumNode, Node
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@functools.lru_cache(maxsize=None)
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def to_shape_strides(shape:Tuple[int, ...], strides:Tuple[int, ...]) -> List[Tuple[int, int]]:
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assert len(shape) == len(strides)
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ret = [(shape[0], strides[0])] if len(shape) > 0 else []
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for i in range(1, len(shape)):
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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):
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ret[-1] = (ret[-1][0] * shape[i], strides[i])
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else:
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ret.append((shape[i], strides[i]))
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return ret
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class View:
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def __init__(self, shape:Tuple[int, ...], strides:Tuple[int, ...], offset:int=0):
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self.shape, self.strides, self.offset = shape, tuple(stride if shp != 1 else 0 for stride,shp in zip(strides, shape)), offset
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self.shape_strides = to_shape_strides(self.shape, self.strides)
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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)))
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def __repr__(self): return f"View({self.shape}, {self.strides}, {self.offset})"
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def expr_node(self, idx=None, offset:Union[Node, int]=0):
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if idx is None: idx = Variable('idx', 0, prod(self.shape))
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ret = [Variable.num(self.offset)+offset]
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acc = 1
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for d,s in self.shape_strides[::-1]:
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ret.append(((idx//acc)%d)*s)
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acc *= d
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return Variable.sum(ret)
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# generate an expression if you have a variable or expression for each index
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def expr_idxs(self, idxs, offset:Union[Node, int]=0):
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return Variable.sum([Variable.num(self.offset)+offset] + [Variable(idx, 0, sh-1)*st for idx,sh,st in zip(idxs, self.shape, self.strides) if sh != 1 and st != 0])
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class ZeroView:
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def __init__(self, old_shape:Tuple[int, ...], arg):
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self.old_shape, self.arg = old_shape, arg
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self.shape : Tuple[int, ...] = tuple([y-x for x,y in self.arg])
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# fake properties
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self.strides, self.contiguous, self.offset = strides_for_shape(self.shape), False, 0
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def __repr__(self): return f"ZeroView({self.old_shape}, {self.arg})"
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def expr_node(self, idx=None, valid=None):
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if idx is None: idx = Variable('idx', 0, prod([y-x for x,y in self.arg]))
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expr, acc = [valid] if valid is not None else [], 1
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for s,ns,(x,y) in list(zip(self.old_shape, self.shape, self.arg))[::-1]:
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base = ((idx//acc) % ns) + x
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expr += ([base >= 0] if x < 0 else []) + ([base < s] if y > s else [])
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acc *= ns
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return Variable.ands(expr)
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def expr_idxs(self, idxs, offset=0): raise NotImplementedError("ZeroView doesn't support expr_idxs")
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ViewTypes = Union[View, ZeroView]
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@functools.lru_cache(maxsize=None)
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def strides_for_shape(shape:Tuple[int, ...]) -> Tuple[int, ...]:
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strides = [1]
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for d in shape[::-1][:-1]: strides = [d*strides[0]] + strides
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return tuple(st if s != 1 else 0 for st, s in zip(strides, shape))
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@functools.lru_cache(maxsize=None)
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def view_from_shape(shape:Tuple[int, ...]) -> View:
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assert all(isinstance(x, int) for x in shape) and len(shape) != 0
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return View(tuple(shape), strides_for_shape(shape))
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def merge_views(vm2:View, vm1:View) -> Optional[View]:
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new_strides, new_offset = [], vm2.expr_node(Variable.num(vm1.offset))
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assert isinstance(new_offset, NumNode), "new_offset wasn't a number?!?"
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for s,st in zip(vm1.shape, vm1.strides):
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this_dim = View(vm2.shape, vm2.strides).expr_node(Variable('idx', 0, s-1)*st)
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if s == 1:
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new_strides.append(0) # all shape 1 can have stride 0
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elif isinstance(this_dim, NumNode) and this_dim.b == 0:
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new_strides.append(0)
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elif isinstance(this_dim, Variable):
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new_strides.append(1)
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elif isinstance(this_dim, MulNode) and isinstance(this_dim.a, Variable):
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new_strides.append(this_dim.b)
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else:
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if DEBUG >= 4: print("can't simplify", s, this_dim.render())
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break
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return View(vm1.shape, tuple(new_strides), new_offset.b) if len(new_strides) == len(vm1.strides) else None
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class ShapeTracker:
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def __init__(self, shape:Union[ShapeTracker, Tuple[int, ...]], views:Optional[List[ViewTypes]]=None):
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self.views : List[ViewTypes] = views if views is not None else (shape.views[:] if isinstance(shape, ShapeTracker) else [view_from_shape(shape)])
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def __repr__(self): return f"ShapeTracker(shape={self.shape}, views={self.views})"
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def copy(self) -> ShapeTracker: return ShapeTracker(self.shape, self.views[:])
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@property
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def contiguous(self) -> bool: return len(self.views) == 1 and self.views[-1].contiguous
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@property
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def shape(self) -> Tuple[int, ...]: return self.views[-1].shape
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@property
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def strides(self) -> Tuple[int, ...]: return self.views[-1].strides
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@property
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def offset(self) -> int: return self.views[-1].offset
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# this is the real size
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def size(self): return prod([s for s,st in zip(self.shape, self.strides) if st != 0])
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def _expr_idx(self, idx):
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valid = Variable.num(1)
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for v in self.views[0:-1][::-1]:
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if isinstance(v, ZeroView): valid = v.expr_node(idx, valid)
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else: idx = v.expr_node(idx)
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return idx, valid
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def simplify(self):
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if len(self.views) >= 2 and isinstance(self.views[-2], View) and isinstance(self.views[-1], View):
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new_view = merge_views(self.views[-2], self.views[-1])
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if new_view:
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if DEBUG >= 4: print(f"st simplify : {self.views[-2]} + {self.views[-1]} = {new_view}")
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self.views = self.views[:-2] + [new_view]
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self.simplify()
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# TODO: arg order is reversed here
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def expr_idxs(self, offset=0, idxs=None):
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if idxs is None: idxs = [f"idx{i}" for i in range(len(self.shape))]
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return self._expr_idx(self.views[-1].expr_idxs(idxs, offset))
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def expr_node(self, idx='idx', offset=0):
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return self._expr_idx(self.views[-1].expr_node(Variable(idx, 0, prod(self.shape)-1), offset))
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def movement_op(self, op, arg:Union[Tuple[int, ...], Tuple[Tuple[int, int], ...]]) -> ShapeTracker:
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return getattr(self, str(op).split(".")[1].lower())(arg)
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def needs_valid(self) -> bool:
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return any(isinstance(v, ZeroView) for v in self.views)
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def reshape(self, new_shape : Tuple[int, ...]) -> ShapeTracker:
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assert isinstance(new_shape, tuple)
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if self.shape == new_shape: return self
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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}"
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assert prod(self.shape) == prod(new_shape), f"can't reshape {self.shape} -> {new_shape}"
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view = View(new_shape, strides_for_shape(new_shape))
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if self.contiguous: self.views[-1] = view # NOTE: if it's contiguous it can't have an offset
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else:
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# NOTE: the last view in self.views is never a ZeroView
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if (merged_view := merge_views(cast(View, self.views[-1]), view)) is not None: self.views[-1] = merged_view
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else: self.views.append(view)
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return self
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def permute(self, axis : Tuple[int, ...]) -> ShapeTracker:
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assert isinstance(axis, tuple)
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assert all(isinstance(x, int) and x >= 0 and x < len(self.shape) for x in axis), f"invalid permute {axis} for {self.shape}"
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assert len(set(axis)) == len(axis) and len(axis) == len(self.shape), f"can't permute {self.shape} with {axis}"
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self.views[-1] = View(tuple(self.shape[a] for a in axis), tuple(self.strides[a] for a in axis), self.offset)
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return self
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# TODO: this is a special case of slice with strides, remove it
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# though it's nice that it can't change size
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def flip(self, axis : Tuple[int, ...]) -> ShapeTracker:
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return self.stride(tuple(-1 if i in axis else 1 for i in range(len((self.shape)))))
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# *** under this line are not invertible ***
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# TODO: take this functionality out of slice
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def pad(self, arg : Tuple[Tuple[int, int], ...]) -> ShapeTracker:
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assert isinstance(arg, tuple)
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assert all((b>=0 and e>=0) for b,e in arg) and len(arg) == len(self.shape)
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return self.shrink(tuple((-b,s+e) for s,(b,e) in zip(self.shape, arg)))
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# TODO: take the pad functionality out of shrink
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def shrink(self, arg : Tuple[Tuple[int, int], ...]) -> ShapeTracker:
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assert isinstance(arg, tuple)
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assert len(arg) == len(self.shape)
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offset = sum([self.strides[i]*x for i,(x,_) in enumerate(arg)])
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zeroview = ZeroView(self.shape, arg)
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self.views[-1] = View(tuple(y-x for x,y in arg), self.strides, self.offset+offset)
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if zeroview.expr_node().min == 0: # may be invalid
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# if we add a ZeroView, we add another (stock) view also for modding
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self.views += [zeroview, View(self.shape, strides_for_shape(self.shape))]
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return self
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def expand(self, new_shape : Tuple[int, ...]) -> ShapeTracker:
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assert isinstance(new_shape, tuple)
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assert all(isinstance(x, int) for x in new_shape), f"non ints for expand in {new_shape}"
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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}"
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strides : Tuple[int, ...] = tuple(s if x == y else 0 for s,(x,y) in zip(self.strides, zip(self.shape, new_shape)))
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self.views[-1] = View(new_shape, strides, self.offset)
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return self
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# TODO: combine with slice? this doesn't require a ZeroView, though slice shouldn't always either
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def stride(self, mul : Tuple[int, ...]) -> ShapeTracker:
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assert isinstance(mul, tuple)
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assert all(isinstance(x, int) for x in mul)
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strides = tuple(z*m for z,m in zip(self.strides, mul))
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new_shape = tuple((s+(abs(m)-1))//abs(m) for s,m in zip(self.shape, mul))
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offset = sum([(s-1)*z for s,z,m in zip(self.shape, self.strides, mul) if m < 0])
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self.views[-1] = View(new_shape, strides, self.offset + offset)
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return self
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# returns the axes to create new_shape if new_shape can be created by combining axis from old_shape
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def get_contraction(old_shape:Tuple[int, ...], new_shape:Tuple[int, ...]):
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if len(new_shape) > len(old_shape): return None
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new_shape_i : int = 0
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shape_idx_groups : List[List[int]] = [[] for _ in range(len(new_shape))]
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for old_shape_i, t in enumerate(old_shape):
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if new_shape[new_shape_i] % t != 0 or prod([old_shape[x] for x in shape_idx_groups[new_shape_i]]) * t > new_shape[new_shape_i]:
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return None
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shape_idx_groups[new_shape_i].append(old_shape_i)
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if prod([old_shape[x] for x in shape_idx_groups[new_shape_i]]) == new_shape[new_shape_i] and new_shape_i < len(new_shape) - 1:
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new_shape_i += 1
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return shape_idx_groups
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