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221 lines
10 KiB
221 lines
10 KiB
# 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, operator
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from dataclasses import dataclass
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from typing import Tuple, List, Optional, Dict, cast
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from tinygrad.ops import MovementOps
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from tinygrad.helpers import prod, DEBUG, dedup
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from tinygrad.shape.symbolic import Variable, MulNode, NumNode, Node, SumNode, sint
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from tinygrad.shape.view import View
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@functools.lru_cache(maxsize=None)
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def to_shape_strides(shape:Tuple[int, ...], strides:Tuple[int, ...]) -> Tuple[Tuple[int, int], ...]:
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assert len(shape) == len(strides)
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ret = [(shape[0], strides[0])] if shape else []
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for i in range(1, len(shape)):
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if ret[-1][1] == shape[i]*strides[i] or ret[-1][0] == 1:
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ret[-1] = (ret[-1][0] * shape[i], strides[i])
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elif shape[i] == 1:
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continue
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else:
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ret.append((shape[i], strides[i]))
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return tuple(ret)
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def expr_node_mask(view:View, idx, valid=None) -> Node:
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expr = [valid] if valid is not None else []
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if view.mask is not None:
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acc = 1
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for ns,(x,y) in reversed(list(zip(view.shape, view.mask))):
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if x != 0 or y != ns:
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base = ((idx//acc) % ns)
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expr += [base >= x, base < y]
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acc *= ns
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return Variable.ands(expr)
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# generate an expression if you have a single idx variable
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def expr_node(view:View, idx=None) -> Node:
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if idx is None: idx = Variable('idx', 0, prod(view.shape)-1)
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ret: List[Node] = [Variable.num(view.offset) if isinstance(view.offset, int) else view.offset] if view.offset else []
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acc = 1
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for d,s in reversed(to_shape_strides(view.shape, view.strides)):
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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(view:View, idxs) -> Node:
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assert len(idxs) == len(view.shape), f"need an idx for all dimensions {idxs} vs {view.shape}"
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return Variable.sum([Variable.num(view.offset) if isinstance(view.offset, int) else view.offset] + [idx*st for idx,sh,st in zip(idxs, view.shape, view.strides) if sh != 1 and st != 0])
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@functools.lru_cache(maxsize=None)
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def merge_views(vm2:View, vm1:View) -> Optional[View]:
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if vm2.mask: return None # this isn't supported yet
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mst = ShapeTracker((vm2, vm1))
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strides = mst.real_strides()
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if None in strides: return None
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return View.create(vm1.shape, cast(Tuple[sint, ...], strides), mst.real_offset(), vm1.mask)
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@functools.lru_cache(maxsize=None)
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def idxs_to_idx(shape:Tuple[int, ...], idxs) -> Node:
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assert len(idxs) == len(shape), "need an idx for all dimensions"
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acc = 1
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ret = []
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for tidx,d in reversed(list(zip(idxs, shape))):
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ret.append(tidx * acc)
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acc *= d
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return Variable.sum(ret)
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@dataclass(frozen=True)
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class ShapeTracker:
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views: Tuple[View, ...]
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def __post_init__(self): assert isinstance(self.views, tuple) and all(isinstance(v, View) for v in self.views), "ShapeTracker must be created with a tuple of Views"
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@staticmethod
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def from_shape(shape:Tuple[sint, ...]): return ShapeTracker((View.create(shape),))
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@property
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def contiguous(self) -> bool: return len(self.views) == 1 and self.views[0].contiguous
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@property
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def shape(self) -> Tuple[sint, ...]: return self.views[-1].shape
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# this is the real size (ish)
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def size(self): return self.views[-1].size()
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def vars(self) -> List[Variable]: return dedup(functools.reduce(operator.add, [v.vars() for v in self.views], []))
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@property
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def var_vals(self) -> Dict[Variable, int]:
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ret:Dict[Variable, int] = {}
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for v in self.vars():
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var, val = v.unbind()
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assert var not in ret or ret[var] == val, f"{var} has conflicted values {val} and {ret[var]}"
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ret[var] = val
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return ret
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def unbind(self) -> ShapeTracker: return ShapeTracker(tuple(v.unbind() for v in self.views))
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def to_movement_ops(self) -> List[Tuple[MovementOps, Tuple]]:
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to_apply:List[Tuple[MovementOps, Tuple]] = []
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for v in self.views:
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real_shape = tuple(y-x for x,y in v.mask) if v.mask else v.shape
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real_offset = v.offset + (sum(x*st for (x,_),st in zip(v.mask, v.strides)) if v.mask else 0)
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# first, we apply the offset
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# then, we make it the correct shape
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# then, we apply permutations
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# TODO: don't use as_strided
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to_apply.append((MovementOps.AS_STRIDED, (tuple([s if st != 0 else 1 for s,st in zip(real_shape, v.strides)]), v.strides, real_offset)))
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# then, we apply pre expand pads
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if v.mask is not None:
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pre_expand_pads = tuple((x,s-y) if st != 0 else (0,0) for (x,y),s,st in zip(v.mask, v.shape, v.strides))
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post_expand_pads = tuple((x,s-y) if st == 0 else (0,0) for (x,y),s,st in zip(v.mask, v.shape, v.strides))
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if any(x != (0,0) for x in pre_expand_pads):
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to_apply.append((MovementOps.PAD, pre_expand_pads))
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real_shape = tuple(x+s[0]+s[1] for x,s in zip(real_shape, pre_expand_pads))
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# then, we do any expands
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if any(s != 1 and st == 0 for s,st in zip(real_shape, v.strides)): to_apply.append((MovementOps.EXPAND, real_shape))
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# lastly, we apply post expand pads
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if v.mask is not None and any(x != (0,0) for x in post_expand_pads): to_apply.append((MovementOps.PAD, post_expand_pads))
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return to_apply
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# these are multiview strides, value is None if it's not a simple strided dimension
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# TODO: this can be shared code between simplify and merge_views
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def real_offset(self) -> sint:
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real_offset, _ = self.expr_node(Variable('zero', 0, 0))
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return real_offset.b if isinstance(real_offset, NumNode) else real_offset
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# NOTE: if a stride is not always valid, it will be None
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def real_strides(self, ignore_valid=False) -> Tuple[Optional[sint], ...]:
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if len(self.views) == 1 and self.views[-1].mask is None: return self.views[-1].strides
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idxs = [Variable(f"idx{i}", 0, s-1) for i,s in enumerate(self.shape)]
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idx, valid = self.expr_idxs(idxs)
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ret: List[Optional[sint]] = [None] * len(self.views[-1].shape)
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for this_dim in (idx.nodes if isinstance(idx, SumNode) else [idx]):
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if isinstance(this_dim, MulNode) and isinstance(this_dim.a, Variable) and this_dim.a in idxs:
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ret[idxs.index(this_dim.a)] = this_dim.b
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elif isinstance(this_dim, Variable) and this_dim in idxs:
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ret[idxs.index(this_dim)] = 1
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idx_vars, valid_vars = idx.vars(), valid.vars()
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for i,tidx in enumerate(idxs):
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if tidx in valid_vars and not ignore_valid: ret[i] = None
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elif tidx not in idx_vars: ret[i] = 0
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return tuple(ret)
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def unit_stride_axes(self, ignore_valid=False) -> List[int]: return [i for i,st in enumerate(self.real_strides(ignore_valid)) if st == 1]
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def _expr_idx(self, idx, valid) -> Tuple[Node, Node]:
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for v in reversed(self.views[0:-1]):
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if valid.max == 0: return Variable.num(-1), valid
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valid = expr_node_mask(v, idx, valid)
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idx = expr_node(v, idx)
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return idx, valid
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def simplify(self) -> ShapeTracker:
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if len(self.views) >= 2:
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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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return ShapeTracker(self.views[:-2] + (new_view,)).simplify()
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return self
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def expr_idxs(self, idxs=None):
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if idxs is None: idxs = [Variable(f"idx{i}", 0, s-1) for i,s in enumerate(self.shape)]
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idx = expr_idxs(self.views[-1], tuple(idxs))
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valid = expr_node_mask(self.views[-1], idxs_to_idx(self.views[-1].shape, tuple(idxs)))
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return self._expr_idx(idx, valid)
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def expr_node(self, idx='idx'):
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if idx.__class__ is str: idx = Variable(idx, 0, prod(self.shape)-1)
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return self._expr_idx(expr_node(self.views[-1], idx), expr_node_mask(self.views[-1], idx))
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def axis_is_masked(self, axis) -> bool:
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_, valid = self.expr_idxs()
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return f'idx{axis}' in [v.expr for v in valid.vars()]
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# *** under this line are the movement ops ***
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def pad(self, arg: Tuple[Tuple[int, int], ...]) -> ShapeTracker:
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return ShapeTracker(self.views[0:-1] + (self.views[-1].pad(arg), ))
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def shrink(self, arg: Tuple[Tuple[sint, sint], ...]) -> ShapeTracker:
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return ShapeTracker(self.views[0:-1] + (self.views[-1].shrink(arg), ))
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def expand(self, new_shape: Tuple[sint, ...]) -> ShapeTracker:
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return ShapeTracker(self.views[0:-1] + (self.views[-1].expand(new_shape), ))
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def permute(self, axis: Tuple[int, ...]) -> ShapeTracker:
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return ShapeTracker(self.views[0:-1] + (self.views[-1].permute(axis), ))
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def stride(self, mul: Tuple[int, ...]) -> ShapeTracker:
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return ShapeTracker(self.views[0:-1] + (self.views[-1].stride(mul), ))
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def reshape(self, new_shape: Tuple[sint, ...]) -> ShapeTracker:
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new_view = self.views[-1].reshape(new_shape)
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if new_view is None:
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extra_view = View.create(new_shape)
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# last chance to merge. TODO: move into View
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if (merged_view := merge_views(self.views[-1], extra_view)) is not None:
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return ShapeTracker(self.views[0:-1] + (merged_view,))
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return ShapeTracker(self.views + (extra_view, ))
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return ShapeTracker(self.views[0:-1] + (new_view,))
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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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# TODO: if we remove movementops from lazy.py we can delete this
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def get_contraction(old_shape:Tuple[sint, ...], new_shape:Tuple[sint, ...]) -> Optional[List[List[int]]]:
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# Pre-allocate all groups.
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axis_groups: List[List[int]] = [[] for _ in range(len(new_shape))]
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# Index for new_shape and axis_groups.
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i: int = 0
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old_shape_i: int = 0
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while old_shape_i < len(old_shape):
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# 1s exist in new_shape only will lead to empty axes group creations.
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if new_shape[i] == 1 and old_shape[old_shape_i] != 1:
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if i < len(new_shape) - 1: i += 1
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else:
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axis_groups[i].append(old_shape_i)
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axis_group_size = prod([old_shape[x] for x in axis_groups[i]])
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# Move to next axes group if total size of all dimensions match.
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if axis_group_size == new_shape[i]:
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if i < len(new_shape) - 1: i += 1
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elif axis_group_size > new_shape[i]: return None
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old_shape_i += 1
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return axis_groups
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