fastai/torch_core.py

"""Basic pytorch functions used in the fastai library"""

# AUTOGENERATED! DO NOT EDIT! File to edit: ../nbs/00_torch_core.ipynb.

# %% ../nbs/00_torch_core.ipynb 2
from __future__ import annotations
from .imports import *
from .torch_imports import *
from packaging.version import parse

# %% auto 0
__all__ = ['norm_types', 'setup_cuda', 'subplots', 'show_image', 'show_titled_image', 'show_images', 'ArrayBase',
           'ArrayImageBase', 'ArrayImage', 'ArrayImageBW', 'ArrayMask', 'tensor', 'set_seed', 'get_random_states',
           'set_random_states', 'no_random', 'unsqueeze', 'unsqueeze_', 'apply', 'maybe_gather', 'to_detach', 'to_half',
           'to_float', 'default_device', 'to_device', 'to_cpu', 'to_np', 'to_concat', 'TensorBase', 'TensorImageBase',
           'TensorImage', 'TensorImageBW', 'TensorMask', 'TensorFlowField', 'TensorCategory', 'TensorMultiCategory',
           'TitledTensorScalar', 'concat', 'Chunks', 'show_title', 'ShowTitle', 'TitledInt', 'TitledFloat', 'TitledStr',
           'TitledTuple', 'get_empty_df', 'display_df', 'get_first', 'one_param', 'item_find', 'find_device', 'find_bs',
           'np_func', 'Module', 'get_model', 'one_hot', 'one_hot_decode', 'params', 'trainable_params',
           'norm_bias_params', 'batch_to_samples', 'logit', 'num_distrib', 'rank_distrib', 'distrib_barrier',
           'base_doc', 'doc', 'nested_reorder', 'flatten_check', 'make_cross_image', 'show_image_batch',
           'requires_grad', 'init_default', 'cond_init', 'apply_leaf', 'apply_init', 'script_use_ctx',
           'script_save_ctx', 'script_fwd', 'script_bwd', 'grad_module', 'ismin_torch', 'notmax_torch', 'progress_bar',
           'master_bar']

# %% ../nbs/00_torch_core.ipynb 5
_all_ = ['progress_bar','master_bar']

# %% ../nbs/00_torch_core.ipynb 6
defaults.benchmark = True

# %% ../nbs/00_torch_core.ipynb 7
def setup_cuda(benchmark=defaults.benchmark):
    "Sets the main cuda device and sets `cudnn.benchmark` to `benchmark`"
    if torch.cuda.is_available():
        if torch.cuda.current_device()==0:
            def_gpu = int(os.environ.get('DEFAULT_GPU') or 0)
            if torch.cuda.device_count()>=def_gpu: torch.cuda.set_device(def_gpu)
        torch.backends.cudnn.benchmark = benchmark

# %% ../nbs/00_torch_core.ipynb 10
@delegates(plt.subplots, keep=True)
def subplots(
    nrows:int=1, # Number of rows in returned axes grid
    ncols:int=1, # Number of columns in returned axes grid
    figsize:tuple=None, # Width, height in inches of the returned figure
    imsize:int=3, # Size (in inches) of images that will be displayed in the returned figure
    suptitle:str=None, # Title to be set to returned figure
    **kwargs
) -> (plt.Figure, plt.Axes): # Returns both fig and ax as a tuple
    "Returns a figure and set of subplots to display images of `imsize` inches"
    if figsize is None:
        h=nrows*imsize if suptitle is None or imsize>2 else nrows*imsize+0.6 #https://github.com/matplotlib/matplotlib/issues/5355
        figsize=(ncols*imsize, h)
    fig,ax = plt.subplots(nrows, ncols, figsize=figsize, **kwargs)
    if suptitle is not None: fig.suptitle(suptitle)
    if nrows*ncols==1: ax = array([ax])
    return fig,ax

# %% ../nbs/00_torch_core.ipynb 13
def _fig_bounds(x):
    r = x//32
    return min(5, max(1,r))

# %% ../nbs/00_torch_core.ipynb 14
@delegates(plt.Axes.imshow, keep=True, but=['shape', 'imlim'])
def show_image(im, ax=None, figsize=None, title=None, ctx=None, **kwargs):
    "Show a PIL or PyTorch image on `ax`."
    # Handle pytorch axis order
    if hasattrs(im, ('data','cpu','permute')):
        im = im.data.cpu()
        if im.shape[0]<5: im=im.permute(1,2,0)
    elif not isinstance(im,np.ndarray): im=array(im)
    # Handle 1-channel images
    if im.shape[-1]==1: im=im[...,0]

    ax = ifnone(ax,ctx)
    if figsize is None: figsize = (_fig_bounds(im.shape[0]), _fig_bounds(im.shape[1]))
    if ax is None: _,ax = plt.subplots(figsize=figsize)
    ax.imshow(im, **kwargs)
    if title is not None: ax.set_title(title)
    ax.axis('off')
    return ax

# %% ../nbs/00_torch_core.ipynb 21
@delegates(show_image, keep=True)
def show_titled_image(o, **kwargs):
    "Call `show_image` destructuring `o` to `(img,title)`"
    show_image(o[0], title=str(o[1]), **kwargs)

# %% ../nbs/00_torch_core.ipynb 24
@delegates(subplots)
def show_images(ims, nrows=1, ncols=None, titles=None, **kwargs):
    "Show all images `ims` as subplots with `rows` using `titles`."
    if ncols is None: ncols = int(math.ceil(len(ims)/nrows))
    if titles is None: titles = [None]*len(ims)
    axs = subplots(nrows, ncols, **kwargs)[1].flat
    for im,t,ax in zip(ims, titles, axs): show_image(im, ax=ax, title=t)

# %% ../nbs/00_torch_core.ipynb 27
class ArrayBase(ndarray):
    "An `ndarray` that can modify casting behavior"
    @classmethod
    def _before_cast(cls, x): return x if isinstance(x,ndarray) else array(x)

# %% ../nbs/00_torch_core.ipynb 28
class ArrayImageBase(ArrayBase):
    "Base class for arrays representing images"
    _show_args = {'cmap':'viridis'}
    def show(self, ctx=None, **kwargs):
        return show_image(self, ctx=ctx, **{**self._show_args, **kwargs})

# %% ../nbs/00_torch_core.ipynb 29
class ArrayImage(ArrayImageBase):
    "An array representing an image"
    pass

# %% ../nbs/00_torch_core.ipynb 30
class ArrayImageBW(ArrayImage):
    "An array representing an image"
    _show_args = {'cmap':'Greys'}

# %% ../nbs/00_torch_core.ipynb 31
class ArrayMask(ArrayImageBase):
    "An array representing an image mask"
    _show_args = {'alpha':0.5, 'cmap':'tab20', 'interpolation':'nearest'}

# %% ../nbs/00_torch_core.ipynb 37
@patch
def __array_eq__(self:Tensor,b):
    return torch.equal(self,b) if self.dim() else self==b

# %% ../nbs/00_torch_core.ipynb 38
def _array2tensor(x, requires_grad=False, pin_memory=False, **kwargs):
    if x.dtype==np.uint16: x = x.astype(np.float32)
    # windows default numpy int dtype is int32, while torch tensor default int dtype is int64
    # https://github.com/numpy/numpy/issues/9464
    if sys.platform == "win32" and x.dtype==int: x = x.astype(np.int64)
    t = torch.as_tensor(x, **kwargs)
    t.requires_grad_(requires_grad)
    if pin_memory: t.pin_memory()
    return t

# %% ../nbs/00_torch_core.ipynb 39
@use_kwargs_dict(dtype=None, device=None, requires_grad=False, pin_memory=False)
def tensor(x, *rest, **kwargs):
    "Like `torch.as_tensor`, but handle lists too, and can pass multiple vector elements directly."
    if len(rest): x = (x,)+rest
    # There was a Pytorch bug in dataloader using num_workers>0. Haven't confirmed if fixed
    # if isinstance(x, (tuple,list)) and len(x)==0: return tensor(0)
    res = (x if isinstance(x, Tensor)
           else torch.tensor(x, **kwargs) if isinstance(x, (tuple,list,numbers.Number))
           else _array2tensor(x, **kwargs) if isinstance(x, ndarray)
           else as_tensor(x.values, **kwargs) if isinstance(x, (pd.Series, pd.DataFrame))
#            else as_tensor(array(x, **kwargs)) if hasattr(x, '__array__') or is_iter(x)
           else _array2tensor(array(x), **kwargs))
    if res.dtype is torch.float64: return res.float()
    return res

# %% ../nbs/00_torch_core.ipynb 42
def set_seed(s, reproducible=False):
    "Set random seed for `random`, `torch`, and `numpy` (where available)"
    try: torch.manual_seed(s)
    except NameError: pass
    try: torch.cuda.manual_seed_all(s)
    except NameError: pass
    try: np.random.seed(s%(2**32-1))
    except NameError: pass
    random.seed(s)
    if reproducible:
        torch.backends.cudnn.deterministic = True
        torch.backends.cudnn.benchmark = False

# %% ../nbs/00_torch_core.ipynb 47
def get_random_states():
    "Gets states for `random`, `torch`, and `numpy` random number generators"
    return {'random_state':random.getstate(),
            'numpy_state':np.random.get_state(),
            'torch_state':torch.get_rng_state(),
            'torch_cuda_state':torch.cuda.get_rng_state_all(),
            'torch_deterministic':torch.backends.cudnn.deterministic,
            'torch_benchmark':torch.backends.cudnn.benchmark}

# %% ../nbs/00_torch_core.ipynb 48
def set_random_states(random_state,numpy_state,torch_state,torch_cuda_state,torch_deterministic,torch_benchmark):
    "Set states for `random`, `torch`, and `numpy` random number generators"
    random.setstate(random_state)
    np.random.set_state(numpy_state)
    torch.set_rng_state(torch_state)
    torch.cuda.set_rng_state_all(torch_cuda_state)
    torch.backends.cudnn.deterministic=torch_deterministic
    torch.backends.cudnn.benchmark=torch_benchmark

# %% ../nbs/00_torch_core.ipynb 53
@contextmanager
def no_random(seed=42,reproducible=True):
    "Stores and retrieves state of random number generators. Sets random seed for `random`, `torch`, and `numpy`."
    states = get_random_states()
    set_seed(seed,reproducible=reproducible)
    try:
        yield #we are managing global variables
    finally:
        set_random_states(**states)

# %% ../nbs/00_torch_core.ipynb 59
def unsqueeze(x, dim=-1, n=1):
    "Same as `torch.unsqueeze` but can add `n` dims"
    for _ in range(n): x = x.unsqueeze(dim)
    return x

# %% ../nbs/00_torch_core.ipynb 61
def unsqueeze_(x, dim=-1, n=1):
    "Same as `torch.unsqueeze_` but can add `n` dims"
    for _ in range(n): x.unsqueeze_(dim)
    return x

# %% ../nbs/00_torch_core.ipynb 63
def _fa_rebuild_tensor (cls, *args, **kwargs): return cls(torch._utils._rebuild_tensor_v2(*args, **kwargs))
def _fa_rebuild_qtensor(cls, *args, **kwargs): return cls(torch._utils._rebuild_qtensor  (*args, **kwargs))

# %% ../nbs/00_torch_core.ipynb 64
def apply(func, x, *args, **kwargs):
    "Apply `func` recursively to `x`, passing on args"
    if is_listy(x): return type(x)([apply(func, o, *args, **kwargs) for o in x])
    if isinstance(x,(dict,MutableMapping)): return {k: apply(func, v, *args, **kwargs) for k,v in x.items()}
    res = func(x, *args, **kwargs)
    return res if x is None else retain_type(res, x)

# %% ../nbs/00_torch_core.ipynb 65
def maybe_gather(x, axis=0):
    "Gather copies of `x` on `axis` (if training is distributed)"
    if num_distrib()<=1: return x
    ndim = x.ndim
    res = [x.new_zeros(*x.shape if ndim > 0 else (1,)) for _ in range(num_distrib())]
    torch.distributed.all_gather(res, x.contiguous() if ndim > 0 else x[None])
    return torch.cat(res, dim=axis) if ndim > 0 else torch.cat(res, dim=axis).mean()

# %% ../nbs/00_torch_core.ipynb 66
def to_detach(b, cpu=True, gather=True):
    "Recursively detach lists of tensors in `b `; put them on the CPU if `cpu=True`."
    def _inner(x, cpu=True, gather=True):
        if not isinstance(x,Tensor): return x
        x = x.detach()
        if gather: x = maybe_gather(x)
        return x.cpu() if cpu else x
    return apply(_inner, b, cpu=cpu, gather=gather)

# %% ../nbs/00_torch_core.ipynb 68
def to_half(b):
    "Recursively map floating point tensors in `b ` to FP16."
    return apply(lambda x: x.half() if torch.is_floating_point(x) else x, b)

# %% ../nbs/00_torch_core.ipynb 69
def to_float(b):
    "Recursively map floating point tensors in `b ` to float."
    return apply(lambda x: x.float() if torch.is_floating_point(x) else x, b)

# %% ../nbs/00_torch_core.ipynb 70
# None: True if available; True: error if not available; False: use CPU
defaults.use_cuda = None

# %% ../nbs/00_torch_core.ipynb 71
def _has_mps():
    if nested_attr(torch, 'backends.mps.is_available', noop)(): return True
    return nested_attr(torch, 'backends.mps.is_built', False)()

def default_device(use=-1):
    "Return or set default device; `use_cuda`: -1 - CUDA/mps if available; True - error if not available; False - CPU"
    if use == -1: use = defaults.use_cuda
    else: defaults.use_cuda=use
    if use is None:
        if torch.cuda.is_available() or _has_mps(): use = True
    if use:
        if torch.cuda.is_available(): return torch.device(torch.cuda.current_device())
        if _has_mps(): return torch.device('mps')
    return torch.device('cpu')

# %% ../nbs/00_torch_core.ipynb 73
def to_device(b, device=None, non_blocking=False):
    "Recursively put `b` on `device`."
    if defaults.use_cuda==False: device='cpu'
    elif device is None: device=default_device()
    def _inner(o):
        # ToDo: add TensorDict when released
        if isinstance(o,Tensor): return o.to(device, non_blocking=non_blocking)
        return o
    return apply(_inner, b)

# %% ../nbs/00_torch_core.ipynb 76
def to_cpu(b):
    "Recursively map tensors in `b ` to the cpu."
    return to_device(b,'cpu')

# %% ../nbs/00_torch_core.ipynb 78
def to_np(x):
    "Convert a tensor to a numpy array."
    return apply(lambda o: o.data.cpu().numpy(), x)

# %% ../nbs/00_torch_core.ipynb 80
def to_concat(xs, dim=0):
    "Concat the element in `xs` (recursively if they are tuples/lists of tensors)"
    if not xs: return xs
    if is_listy(xs[0]): return type(xs[0])([to_concat([x[i] for x in xs], dim=dim) for i in range_of(xs[0])])
    if isinstance(xs[0],dict):  return {k: to_concat([x[k] for x in xs], dim=dim) for k in xs[0].keys()}
    #We may receive xs that are not concatenable (inputs of a text classifier for instance),
    #   in this case we return a big list
    try:    return retain_type(torch.cat(xs, dim=dim), xs[0])
    except: return sum([L(retain_type(o_.index_select(dim, tensor(i)).squeeze(dim), xs[0])
                          for i in range_of(o_)) for o_ in xs], L())

# %% ../nbs/00_torch_core.ipynb 84
# Parsed PyTorch versions for faster version checking
_torch_version = parse(torch.__version__)
_torch_20  = parse('2.0')
_torch_113 = parse('1.13')
_torch_112 = parse('1.12')

# %% ../nbs/00_torch_core.ipynb 85
@patch
def set_meta(self:Tensor, x, as_copy=False):
    "Set all metadata in `__dict__`"
    if not hasattr(x,'__dict__'): return
    # XXX: change to `deepcopy` once PyTorch 1.7.1 is out, and check nb 23 segmentation fit works
    self.__dict__ = copy(x.__dict__) if as_copy else x.__dict__

# %% ../nbs/00_torch_core.ipynb 86
if not hasattr(torch,'as_subclass'): torch.as_subclass = torch.Tensor.as_subclass

# %% ../nbs/00_torch_core.ipynb 87
@patch
def as_subclass(self:Tensor, typ):
    "Cast to `typ` and include `__dict__` and meta"
    return retain_meta(self, torch.as_subclass(self, typ))

# %% ../nbs/00_torch_core.ipynb 90
def _torch_handled(args, opt, func):
    if func not in opt: return False
    for oks in opt[func]:
        if all(isinstance(arg,ok) for arg,ok in zip(args,oks) if ok): return True

# %% ../nbs/00_torch_core.ipynb 91
# from https://github.com/pytorch/pytorch/blob/13c975684a220ec096216ec6468ccd0dc90ff50a/torch/_tensor.py#L34
def _rebuild_from_type(func, type, args, dict):
    ret = func(*args).as_subclass(type)
    ret.__dict__ = dict
    return ret

# %% ../nbs/00_torch_core.ipynb 92
def _find_args(x):
    x0 = x[0] if is_listy(x[0]) and x[0] else x
    return [a for a in x0 if hasattr(a,'__dict__')]

# %% ../nbs/00_torch_core.ipynb 93
class TensorBase(Tensor):
    "A `Tensor` which support subclass pickling, and maintains metadata when casting or after methods"
    debug,_opt = False,defaultdict(list)
    def __new__(cls, x, **kwargs):
        res = cast(tensor(x), cls)
        for k,v in kwargs.items(): setattr(res, k, v)
        return res

    @classmethod
    def _before_cast(cls, x): return tensor(x)
    def __repr__(self): return re.sub('tensor', self.__class__.__name__, super().__repr__())

    def __reduce_ex__(self, proto):
        if _torch_version >= _torch_20:
            return super().__reduce_ex__(proto)
        else:
            torch.utils.hooks.warn_if_has_hooks(self)
            args = (self.storage(), self.storage_offset(), tuple(self.size()), self.stride())
            if self.is_quantized: args = args + (self.q_scale(), self.q_zero_point())
            args = args + (self.requires_grad, OrderedDict())
            f = torch._utils._rebuild_qtensor if self.is_quantized else  torch._utils._rebuild_tensor_v2
            return (_rebuild_from_type, (f, type(self), args, self.__dict__))

    @classmethod
    def register_func(cls, func, *oks): cls._opt[func].append(oks)

    @classmethod
    def __torch_function__(cls, func, types, args=(), kwargs=None):
        if cls.debug and func.__name__ not in ('__str__','__repr__'): print(func, types, args, kwargs)
        if _torch_handled(args, cls._opt, func): types = (torch.Tensor,)
        res = super().__torch_function__(func, types, args, ifnone(kwargs, {}))
        dict_objs = _find_args(args) if args else _find_args(list(kwargs.values()))
        if issubclass(type(res),TensorBase) and dict_objs: res.set_meta(dict_objs[0],as_copy=True)
        elif dict_objs and is_listy(res): [r.set_meta(dict_objs[0],as_copy=True) for r in res if issubclass(type(r),TensorBase)]
        return res

    def new_tensor(self, size, dtype=None, device=None, requires_grad=False):
        cls = type(self)
        return self.as_subclass(Tensor).new_tensor(size, dtype=dtype, device=device, requires_grad=requires_grad).as_subclass(cls)

    def new_ones(self, data, dtype=None, device=None, requires_grad=False):
        cls = type(self)
        return self.as_subclass(Tensor).new_ones(data, dtype=dtype, device=device, requires_grad=requires_grad).as_subclass(cls)

    def new(self, x=None):
        cls = type(self)
        res = self.as_subclass(Tensor).new() if x is None else self.as_subclass(Tensor).new(x)
        return res.as_subclass(cls)

    def requires_grad_(self, requires_grad=True):
        # Workaround https://github.com/pytorch/pytorch/issues/50219
        self.requires_grad = requires_grad
        return self

    def clone(self, *, memory_format=None):
        cls = type(self)
        return self.as_subclass(Tensor).clone(memory_format=memory_format).as_subclass(cls)

    def new_empty(self, size, *, dtype=None, layout=None, device=None, pin_memory=False, requires_grad=False):
        cls = type(self)
        if _torch_version < _torch_113 and layout is None:
            layout = torch.strided
        if _torch_version < _torch_112:
            return super().new_empty(size, dtype=dtype, layout=layout, device=device, pin_memory=pin_memory, requires_grad=requires_grad)
        return self.as_subclass(Tensor).new_empty(size, dtype=dtype, layout=layout, device=device, pin_memory=pin_memory, requires_grad=requires_grad).as_subclass(cls)

    def new_empty(self, *size, dtype=None, layout=None, device=None, pin_memory=False, requires_grad=False):
        cls = type(self)
        if _torch_version < _torch_113 and layout is None:
            layout = torch.strided
        if _torch_version < _torch_112:
            return super().new_empty(*size, dtype=dtype, layout=layout, device=device, pin_memory=pin_memory, requires_grad=requires_grad)
        return self.as_subclass(Tensor).new_empty(*size, dtype=dtype, layout=layout, device=device, pin_memory=pin_memory, requires_grad=requires_grad).as_subclass(cls)

# %% ../nbs/00_torch_core.ipynb 106
class TensorImageBase(TensorBase):
    _show_args = ArrayImageBase._show_args
    def show(self, ctx=None, **kwargs):
        return show_image(self, ctx=ctx, **{**self._show_args, **kwargs})

# %% ../nbs/00_torch_core.ipynb 107
class TensorImage(TensorImageBase): pass

# %% ../nbs/00_torch_core.ipynb 108
class TensorImageBW(TensorImage): _show_args = ArrayImageBW._show_args

# %% ../nbs/00_torch_core.ipynb 109
class TensorMask(TensorImageBase):
    _show_args = ArrayMask._show_args

    def show(self, ctx=None, **kwargs):
        codes = getattr(self, 'codes', None)
        if codes is not None: kwargs = merge({'vmin': 0, 'vmax': len(codes)}, kwargs)
        return super().show(ctx=ctx, **kwargs)

# %% ../nbs/00_torch_core.ipynb 110
for o in Tensor.__getitem__, Tensor.__ne__,Tensor.__eq__,Tensor.add,Tensor.sub,Tensor.mul,Tensor.div,Tensor.__rsub__,Tensor.__radd__,Tensor.matmul,Tensor.bmm:
    TensorBase.register_func(o, TensorMask, TensorImageBase)
    TensorBase.register_func(o, TensorImageBase, TensorMask)

TensorMask.register_func(torch.einsum, str, TensorImageBase, TensorMask)
TensorMask.register_func(torch.einsum, str, TensorMask, TensorImageBase)

# %% ../nbs/00_torch_core.ipynb 117
class TensorFlowField(TensorBase): pass
TensorImage.register_func(F.grid_sample, TensorImageBase, TensorFlowField)

# %% ../nbs/00_torch_core.ipynb 119
class TensorCategory(TensorBase): pass

TensorBase.register_func(Tensor.__getitem__, TensorImageBase, TensorCategory)

# %% ../nbs/00_torch_core.ipynb 121
class TensorMultiCategory(TensorCategory): pass

# %% ../nbs/00_torch_core.ipynb 122
class TitledTensorScalar(TensorBase):
    "A tensor containing a scalar that has a `show` method"
    def show(self, **kwargs): show_title(self.item(), **kwargs)

# %% ../nbs/00_torch_core.ipynb 124
@patch
def tensored(self:L):
    "`mapped(tensor)`"
    return self.map(tensor)
@patch
def stack(self:L, dim=0):
    "Same as `torch.stack`"
    return torch.stack(list(self.tensored()), dim=dim)
@patch
def cat  (self:L, dim=0):
    "Same as `torch.cat`"
    return torch.cat  (list(self.tensored()), dim=dim)

# %% ../nbs/00_torch_core.ipynb 133
def concat(*ls):
    "Concatenate tensors, arrays, lists, or tuples"
    if not len(ls): return []
    it = ls[0]
    if isinstance(it,torch.Tensor): res = torch.cat(ls)
    elif isinstance(it,ndarray): res = np.concatenate(ls)
    else:
        res = itertools.chain.from_iterable(map(L,ls))
        if isinstance(it,(tuple,list)): res = type(it)(res)
        else: res = L(res)
    return retain_type(res, it)

# %% ../nbs/00_torch_core.ipynb 135
class Chunks:
    "Slice and int indexing into a list of lists"
    def __init__(self, chunks, lens=None):
        self.chunks = chunks
        self.lens = L(map(len,self.chunks) if lens is None else lens)
        self.cumlens = np.cumsum(0+self.lens)
        self.totlen = self.cumlens[-1]

    def __getitem__(self,i):
        if isinstance(i,slice): return retain_type(self.getslice(i), old=self.chunks[0])
        di,idx = self.doc_idx(i)
        return retain_type(self.chunks[di][idx], old=self.chunks[0])

    def getslice(self, i):
        st_d,st_i = self.doc_idx(ifnone(i.start,0))
        en_d,en_i = self.doc_idx(ifnone(i.stop,self.totlen+1))
        res = [self.chunks[st_d][st_i:(en_i if st_d==en_d else sys.maxsize)]]
        for b in range(st_d+1,en_d): res.append(self.chunks[b])
        if st_d!=en_d and en_d<len(self.chunks): res.append(self.chunks[en_d][:en_i])
        return concat(*res)

    def doc_idx(self, i):
        if i<0: i=self.totlen+i # count from end
        docidx = np.searchsorted(self.cumlens, i+1)-1
        cl = self.cumlens[docidx]
        return docidx,i-cl

# %% ../nbs/00_torch_core.ipynb 140
def show_title(o, ax=None, ctx=None, label=None, color='black', **kwargs):
    "Set title of `ax` to `o`, or print `o` if `ax` is `None`"
    ax = ifnone(ax,ctx)
    if ax is None: print(o)
    elif hasattr(ax, 'set_title'):
        t = ax.title.get_text()
        if len(t) > 0: o = t+'\n'+str(o)
        ax.set_title(o, color=color)
    elif isinstance(ax, pd.Series):
        while label in ax: label += '_'
        ax = pd.concat([ax,pd.Series({label: o})])
    return ax

# %% ../nbs/00_torch_core.ipynb 142
class ShowTitle:
    "Base class that adds a simple `show`"
    _show_args = {'label': 'text'}
    def show(self, ctx=None, **kwargs):
        "Show self"
        return show_title(str(self), ctx=ctx, **merge(self._show_args, kwargs))

class TitledInt(Int, ShowTitle):
    _show_args = {'label': 'text'}
    def show(self, ctx=None, **kwargs):
        "Show self"
        return show_title(str(self), ctx=ctx, **merge(self._show_args, kwargs))

class TitledFloat(Float, ShowTitle):
    _show_args = {'label': 'text'}
    def show(self, ctx=None, **kwargs):
        "Show self"
        return show_title(str(self), ctx=ctx, **merge(self._show_args, kwargs))

class TitledStr(Str, ShowTitle):
    _show_args = {'label': 'text'}
    def show(self, ctx=None, **kwargs):
        "Show self"
        return show_title(str(self), ctx=ctx, **merge(self._show_args, kwargs))

class TitledTuple(fastuple, ShowTitle):
    _show_args = {'label': 'text'}
    def show(self, ctx=None, **kwargs):
        "Show self"
        return show_title(str(self), ctx=ctx, **merge(self._show_args, kwargs))

add_docs(TitledInt, "An `int` with `show`"); add_docs(TitledStr, "An `str` with `show`");
add_docs(TitledFloat, "A `float` with `show`"); add_docs(TitledTuple, "A `fastuple` with `show`")

# %% ../nbs/00_torch_core.ipynb 149
@patch
def truncate(self:TitledStr, n):
    "Truncate self to `n`"
    words = self.split(' ')[:n]
    return TitledStr(' '.join(words))

# %% ../nbs/00_torch_core.ipynb 151
if not hasattr(pd.DataFrame,'_old_init'): pd.DataFrame._old_init = pd.DataFrame.__init__

# %% ../nbs/00_torch_core.ipynb 152
@patch
def __init__(self:pd.DataFrame, data=None, index=None, columns=None, dtype=None, copy=None):
    if data is not None and isinstance(data, Tensor): data = to_np(data)
    self._old_init(data, index=index, columns=columns, dtype=dtype, copy=copy)

# %% ../nbs/00_torch_core.ipynb 153
def get_empty_df(n):
    "Return `n` empty rows of a dataframe"
    df = pd.DataFrame(index = range(n))
    return [df.iloc[i] for i in range(n)]

# %% ../nbs/00_torch_core.ipynb 154
def display_df(df):
    "Display `df` in a notebook or defaults to print"
    try: from IPython.display import display, HTML
    except: return print(df)
    display(HTML(df.to_html()))

# %% ../nbs/00_torch_core.ipynb 155
def get_first(c):
    "Get the first element of c, even if c is a dataframe"
    return getattr(c, 'iloc', c)[0]

# %% ../nbs/00_torch_core.ipynb 156
def one_param(m):
    "First parameter in `m`"
    return first(m.parameters())

# %% ../nbs/00_torch_core.ipynb 157
def item_find(x, idx=0):
    "Recursively takes the `idx`-th element of `x`"
    if is_listy(x): return item_find(x[idx])
    if isinstance(x,dict):
        key = list(x.keys())[idx] if isinstance(idx, int) else idx
        return item_find(x[key])
    return x

# %% ../nbs/00_torch_core.ipynb 158
def find_device(b):
    "Recursively search the device of `b`."
    return item_find(b).device

# %% ../nbs/00_torch_core.ipynb 160
def find_bs(b):
    "Recursively search the batch size of `b`."
    res = item_find(b)
    if not hasattr(res, "shape"): return len(b)
    return res.shape[0]

# %% ../nbs/00_torch_core.ipynb 162
def np_func(f):
    "Convert a function taking and returning numpy arrays to one taking and returning tensors"
    def _inner(*args, **kwargs):
        nargs = [to_np(arg) if isinstance(arg,Tensor) else arg for arg in args]
        return tensor(f(*nargs, **kwargs))
    functools.update_wrapper(_inner, f)
    return _inner

# %% ../nbs/00_torch_core.ipynb 166
class Module(nn.Module, metaclass=PrePostInitMeta):
    "Same as `nn.Module`, but no need for subclasses to call `super().__init__`"
    def __pre_init__(self, *args, **kwargs): super().__init__()
    def __init__(self): pass

# %% ../nbs/00_torch_core.ipynb 169
from torch.nn.parallel import DistributedDataParallel

# %% ../nbs/00_torch_core.ipynb 170
def get_model(model):
    "Return the model maybe wrapped inside `model`."
    return model.module if isinstance(model, (DistributedDataParallel, nn.DataParallel)) else model

# %% ../nbs/00_torch_core.ipynb 171
def one_hot(x, c):
    "One-hot encode `x` with `c` classes."
    res = torch.zeros(c, dtype=torch.uint8)
    if isinstance(x, Tensor) and x.numel()>0: res[x] = 1.
    else: res[list(L(x, use_list=None))] = 1.
    return res

# %% ../nbs/00_torch_core.ipynb 173
def one_hot_decode(x, vocab=None):
    return L(vocab[i] if vocab else i for i,x_ in enumerate(x) if x_==1)

# %% ../nbs/00_torch_core.ipynb 175
def params(m):
    "Return all parameters of `m`"
    return [p for p in m.parameters()]

# %% ../nbs/00_torch_core.ipynb 176
def trainable_params(m):
    "Return all trainable parameters of `m`"
    return [p for p in m.parameters() if p.requires_grad]

# %% ../nbs/00_torch_core.ipynb 178
norm_types = (nn.BatchNorm1d, nn.BatchNorm2d, nn.BatchNorm3d, nn.InstanceNorm1d, nn.InstanceNorm2d, nn.InstanceNorm3d, nn.LayerNorm)

# %% ../nbs/00_torch_core.ipynb 179
def norm_bias_params(m, with_bias=True):
    "Return all bias and BatchNorm parameters"
    if isinstance(m, norm_types): return L(m.parameters())
    res = L(m.children()).map(norm_bias_params, with_bias=with_bias).concat()
    if with_bias and getattr(m, 'bias', None) is not None: res.append(m.bias)
    return res

# %% ../nbs/00_torch_core.ipynb 181
def batch_to_samples(b, max_n=10):
    "'Transposes' a batch to (at most `max_n`) samples"
    if isinstance(b, Tensor): return retain_types(list(b[:max_n]), [b])
    else:
        res = L(b).map(partial(batch_to_samples,max_n=max_n))
        return retain_types(res.zip(), [b])

# %% ../nbs/00_torch_core.ipynb 183
@patch
def interp_1d(x:Tensor, xp, fp):
    "Same as `np.interp`"
    slopes = (fp[1:]-fp[:-1])/(xp[1:]-xp[:-1])
    incx = fp[:-1] - (slopes*xp[:-1])
    locs = (x[:,None]>=xp[None,:]).long().sum(1)-1
    locs = locs.clamp(0,len(slopes)-1)
    return slopes[locs]*x + incx[locs]

# %% ../nbs/00_torch_core.ipynb 185
@patch
def pca(x:Tensor, k=2):
    "Compute PCA of `x` with `k` dimensions."
    x = x-torch.mean(x,0)
    U,S,V = torch.svd(x.t())
    return torch.mm(x,U[:,:k])

# %% ../nbs/00_torch_core.ipynb 186
def logit(x):
    "Logit of `x`, clamped to avoid inf."
    x = x.clamp(1e-7, 1-1e-7)
    return -(1/x-1).log()

# %% ../nbs/00_torch_core.ipynb 187
def num_distrib():
    "Return the number of processes in distributed training (if applicable)."
    return int(os.environ.get('WORLD_SIZE', 0))

# %% ../nbs/00_torch_core.ipynb 188
def rank_distrib():
    "Return the distributed rank of this process (if applicable)."
    return int(os.environ.get('RANK', 0))

# %% ../nbs/00_torch_core.ipynb 189
def distrib_barrier():
    "Place a synchronization barrier in distributed training"
    if num_distrib() > 1 and torch.distributed.is_initialized(): torch.distributed.barrier()

# %% ../nbs/00_torch_core.ipynb 191
# Saving arrays requires pytables - optional dependency
try: import tables
except: pass

# %% ../nbs/00_torch_core.ipynb 192
def _comp_filter(lib='lz4',lvl=3): return tables.Filters(complib=f'blosc:{lib}', complevel=lvl)

# %% ../nbs/00_torch_core.ipynb 193
@patch
def save_array(p:Path, o, complib='lz4', lvl=3):
    "Save numpy array to a compressed `pytables` file, using compression level `lvl`"
    if isinstance(o,Tensor): o = to_np(o)
    with tables.open_file(p, mode='w', filters=_comp_filter(lib=complib,lvl=lvl)) as f: f.create_carray('/', 'data', obj=o)

# %% ../nbs/00_torch_core.ipynb 195
@patch
def load_array(p:Path):
    "Save numpy array to a `pytables` file"
    with tables.open_file(p, 'r') as f: return f.root.data.read()

# %% ../nbs/00_torch_core.ipynb 196
def base_doc(elt):
    "Print a base documentation of `elt`"
    name = getattr(elt, '__qualname__', getattr(elt, '__name__', ''))
    print(f'{name}{inspect.signature(elt)}\n{inspect.getdoc(elt)}\n')
    print('To get a prettier result with hyperlinks to source code and documentation, install nbdev: pip install nbdev')

# %% ../nbs/00_torch_core.ipynb 197
def doc(elt):
    "Try to use doc form nbdev and fall back to `base_doc`"
    try:
        from nbdev.showdoc import doc
        doc(elt)
    except: base_doc(elt)

# %% ../nbs/00_torch_core.ipynb 198
def nested_reorder(t, idxs):
    "Reorder all tensors in `t` using `idxs`"
    if isinstance(t, (Tensor,L)): return t[idxs]
    elif is_listy(t): return type(t)(nested_reorder(t_, idxs) for t_ in t)
    if t is None: return t
    raise TypeError(f"Expected tensor, tuple, list or L but got {type(t)}")

# %% ../nbs/00_torch_core.ipynb 200
def flatten_check(inp, targ):
    "Check that `inp` and `targ` have the same number of elements and flatten them."
    inp,targ = TensorBase(inp.contiguous()).view(-1),TensorBase(targ.contiguous()).view(-1)
    test_eq(len(inp), len(targ))
    return inp,targ

# %% ../nbs/00_torch_core.ipynb 203
def make_cross_image(bw=True):
    "Create a tensor containing a cross image, either `bw` (True) or color"
    if bw:
        im = torch.zeros(5,5)
        im[2,:] = 1.
        im[:,2] = 1.
    else:
        im = torch.zeros(3,5,5)
        im[0,2,:] = 1.
        im[1,:,2] = 1.
    return im

# %% ../nbs/00_torch_core.ipynb 206
def show_image_batch(b, show=show_titled_image, items=9, cols=3, figsize=None, **kwargs):
    "Display batch `b` in a grid of size `items` with `cols` width"
    if items<cols: cols=items
    rows = (items+cols-1) // cols
    if figsize is None: figsize = (cols*3, rows*3)
    fig,axs = plt.subplots(rows, cols, figsize=figsize)
    for *o,ax in zip(*to_cpu(b), axs.flatten()): show(o, ax=ax, **kwargs)

# %% ../nbs/00_torch_core.ipynb 209
def requires_grad(m):
    "Check if the first parameter of `m` requires grad or not"
    ps = list(m.parameters())
    return ps[0].requires_grad if len(ps)>0 else False

# %% ../nbs/00_torch_core.ipynb 211
def init_default(m, func=nn.init.kaiming_normal_):
    "Initialize `m` weights with `func` and set `bias` to 0."
    if func:
        if hasattr(m, 'weight'): func(m.weight)
        if hasattr(m, 'bias') and hasattr(m.bias, 'data'): m.bias.data.fill_(0.)
    return m

# %% ../nbs/00_torch_core.ipynb 213
def cond_init(m, func):
    "Apply `init_default` to `m` unless it's a batchnorm module"
    if (not isinstance(m, norm_types)) and requires_grad(m): init_default(m, func)

# %% ../nbs/00_torch_core.ipynb 215
def apply_leaf(m, f):
    "Apply `f` to children of `m`."
    c = m.children()
    if isinstance(m, nn.Module): f(m)
    for l in c: apply_leaf(l,f)

# %% ../nbs/00_torch_core.ipynb 217
def apply_init(m, func=nn.init.kaiming_normal_):
    "Initialize all non-batchnorm layers of `m` with `func`."
    apply_leaf(m, partial(cond_init, func=func))

# %% ../nbs/00_torch_core.ipynb 220
def script_use_ctx(f):
    "Decorator: create jit script and pass everything in `ctx.saved_variables to `f`, after `*args`"
    sf = torch.jit.script(f)
    def _f(ctx, *args, **kwargs): return sf(*args, *ctx.saved_variables, **kwargs)
    return update_wrapper(_f,f)

# %% ../nbs/00_torch_core.ipynb 221
def script_save_ctx(static, *argidx):
    "Decorator: create jit script and save args with indices `argidx` using `ctx.save_for_backward`"
    def _dec(f):
        sf = torch.jit.script(f)
        def _f(ctx, *args, **kwargs):
            if argidx:
                save = [args[o] for o in argidx]
                ctx.save_for_backward(*save)
            if not argidx: args = [ctx]+args
            return sf(*args, **kwargs)
        if static: _f = staticmethod(_f)
        return update_wrapper(_f,f)
    return _dec

# %% ../nbs/00_torch_core.ipynb 222
def script_fwd(*argidx):
    "Decorator: create static jit script and save args with indices `argidx` using `ctx.save_for_backward`"
    return script_save_ctx(True, *argidx)

# %% ../nbs/00_torch_core.ipynb 223
def script_bwd(f):
    "Decorator: create static jit script and pass everything in `ctx.saved_variables to `f`, after `*args`"
    return staticmethod(script_use_ctx(f))

# %% ../nbs/00_torch_core.ipynb 224
def grad_module(cls):
    "Decorator: convert `cls` into an autograd function"
    class _c(nn.Module):
        def forward(self, *args, **kwargs): return cls.apply(*args, **kwargs)
    return _c

# %% ../nbs/00_torch_core.ipynb 226
def ismin_torch(min_version):
    "Check if `torch.__version__` >= `min_version` using packaging.version"
    return _torch_version >= parse(min_version)

# %% ../nbs/00_torch_core.ipynb 227
def notmax_torch(max_version):
    "Check if `torch.__version__` < `max_version` using packaging.version"
    return _torch_version < parse(max_version)

# %% ../nbs/00_torch_core.ipynb 229
# PyTorch 1.13 introduced a Tensor Subclass string formatting bug
# Workaround from pending PyTorch PR: https://github.com/pytorch/pytorch/pull/82766
if ismin_torch('1.13') and notmax_torch('1.14'):
    from torch.overrides import has_torch_function_unary, handle_torch_function
    @patch
    def __format__(self:Tensor, format_spec):
        if has_torch_function_unary(self):
            return handle_torch_function(Tensor.__format__, (self,), self, format_spec)
        if self.dim() == 0 and not self.is_meta and issubclass(type(self), Tensor):
            return self.item().__format__(format_spec)
        return object.__format__(self, format_spec)