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-rw-r--r--numpy/lib/arraypad.py154
1 files changed, 68 insertions, 86 deletions
diff --git a/numpy/lib/arraypad.py b/numpy/lib/arraypad.py
index 600301c56..e9ca9de4d 100644
--- a/numpy/lib/arraypad.py
+++ b/numpy/lib/arraypad.py
@@ -74,6 +74,35 @@ def _round_ifneeded(arr, dtype):
arr.round(out=arr)
+def _slice_at_axis(shape, sl, axis):
+ """
+ Construct a slice tuple the length of shape, with sl at the specified axis
+ """
+ slice_tup = (slice(None),)
+ return slice_tup * axis + (sl,) + slice_tup * (len(shape) - axis - 1)
+
+
+def _slice_first(shape, n, axis):
+ """ Construct a slice tuple to take the first n elements along axis """
+ return _slice_at_axis(shape, slice(0, n), axis=axis)
+
+
+def _slice_last(shape, n, axis):
+ """ Construct a slice tuple to take the last n elements along axis """
+ dim = shape[axis] # doing this explicitly makes n=0 work
+ return _slice_at_axis(shape, slice(dim - n, dim), axis=axis)
+
+
+def _do_prepend(arr, pad_chunk, axis):
+ return np.concatenate(
+ (pad_chunk.astype(arr.dtype, copy=False), arr), axis=axis)
+
+
+def _do_append(arr, pad_chunk, axis):
+ return np.concatenate(
+ (arr, pad_chunk.astype(arr.dtype, copy=False)), axis=axis)
+
+
def _prepend_const(arr, pad_amt, val, axis=-1):
"""
Prepend constant `val` along `axis` of `arr`.
@@ -100,8 +129,7 @@ def _prepend_const(arr, pad_amt, val, axis=-1):
return arr
padshape = tuple(x if i != axis else pad_amt
for (i, x) in enumerate(arr.shape))
- return np.concatenate((np.full(padshape, val, dtype=arr.dtype), arr),
- axis=axis)
+ return _do_prepend(arr, np.full(padshape, val, dtype=arr.dtype), axis)
def _append_const(arr, pad_amt, val, axis=-1):
@@ -130,8 +158,8 @@ def _append_const(arr, pad_amt, val, axis=-1):
return arr
padshape = tuple(x if i != axis else pad_amt
for (i, x) in enumerate(arr.shape))
- return np.concatenate((arr, np.full(padshape, val, dtype=arr.dtype)),
- axis=axis)
+ return _do_append(arr, np.full(padshape, val, dtype=arr.dtype), axis)
+
def _prepend_edge(arr, pad_amt, axis=-1):
@@ -156,11 +184,9 @@ def _prepend_edge(arr, pad_amt, axis=-1):
if pad_amt == 0:
return arr
- edge_slice = tuple(slice(None) if i != axis else slice(0, 1)
- for (i, x) in enumerate(arr.shape))
+ edge_slice = _slice_first(arr.shape, 1, axis=axis)
edge_arr = arr[edge_slice]
- return np.concatenate((edge_arr.repeat(pad_amt, axis=axis), arr),
- axis=axis)
+ return _do_prepend(arr, edge_arr.repeat(pad_amt, axis=axis), axis)
def _append_edge(arr, pad_amt, axis=-1):
@@ -186,11 +212,9 @@ def _append_edge(arr, pad_amt, axis=-1):
if pad_amt == 0:
return arr
- edge_slice = tuple(slice(None) if i != axis else slice(x - 1, x)
- for (i, x) in enumerate(arr.shape))
+ edge_slice = _slice_last(arr.shape, 1, axis=axis)
edge_arr = arr[edge_slice]
- return np.concatenate((arr, edge_arr.repeat(pad_amt, axis=axis)),
- axis=axis)
+ return _do_append(arr, edge_arr.repeat(pad_amt, axis=axis), axis)
def _prepend_ramp(arr, pad_amt, end, axis=-1):
@@ -228,8 +252,7 @@ def _prepend_ramp(arr, pad_amt, end, axis=-1):
reverse=True).astype(np.float64)
# Appropriate slicing to extract n-dimensional edge along `axis`
- edge_slice = tuple(slice(None) if i != axis else slice(0, 1)
- for (i, x) in enumerate(arr.shape))
+ edge_slice = _slice_first(arr.shape, 1, axis=axis)
# Extract edge, and extend along `axis`
edge_pad = arr[edge_slice].repeat(pad_amt, axis)
@@ -241,7 +264,7 @@ def _prepend_ramp(arr, pad_amt, end, axis=-1):
_round_ifneeded(ramp_arr, arr.dtype)
# Ramp values will most likely be float, cast them to the same type as arr
- return np.concatenate((ramp_arr.astype(arr.dtype), arr), axis=axis)
+ return _do_prepend(arr, ramp_arr, axis)
def _append_ramp(arr, pad_amt, end, axis=-1):
@@ -279,8 +302,7 @@ def _append_ramp(arr, pad_amt, end, axis=-1):
reverse=False).astype(np.float64)
# Slice a chunk from the edge to calculate stats on
- edge_slice = tuple(slice(None) if i != axis else slice(x - 1, x)
- for (i, x) in enumerate(arr.shape))
+ edge_slice = _slice_last(arr.shape, 1, axis=axis)
# Extract edge, and extend along `axis`
edge_pad = arr[edge_slice].repeat(pad_amt, axis)
@@ -292,7 +314,7 @@ def _append_ramp(arr, pad_amt, end, axis=-1):
_round_ifneeded(ramp_arr, arr.dtype)
# Ramp values will most likely be float, cast them to the same type as arr
- return np.concatenate((arr, ramp_arr.astype(arr.dtype)), axis=axis)
+ return _do_append(arr, ramp_arr, axis)
def _prepend_max(arr, pad_amt, num, axis=-1):
@@ -332,15 +354,13 @@ def _prepend_max(arr, pad_amt, num, axis=-1):
num = None
# Slice a chunk from the edge to calculate stats on
- max_slice = tuple(slice(None) if i != axis else slice(num)
- for (i, x) in enumerate(arr.shape))
+ max_slice = _slice_first(arr.shape, num, axis=axis)
# Extract slice, calculate max
max_chunk = arr[max_slice].max(axis=axis, keepdims=True)
# Concatenate `arr` with `max_chunk`, extended along `axis` by `pad_amt`
- return np.concatenate((max_chunk.repeat(pad_amt, axis=axis), arr),
- axis=axis)
+ return _do_prepend(arr, max_chunk.repeat(pad_amt, axis=axis), axis)
def _append_max(arr, pad_amt, num, axis=-1):
@@ -379,11 +399,8 @@ def _append_max(arr, pad_amt, num, axis=-1):
num = None
# Slice a chunk from the edge to calculate stats on
- end = arr.shape[axis] - 1
if num is not None:
- max_slice = tuple(
- slice(None) if i != axis else slice(end, end - num, -1)
- for (i, x) in enumerate(arr.shape))
+ max_slice = _slice_last(arr.shape, num, axis=axis)
else:
max_slice = tuple(slice(None) for x in arr.shape)
@@ -391,8 +408,7 @@ def _append_max(arr, pad_amt, num, axis=-1):
max_chunk = arr[max_slice].max(axis=axis, keepdims=True)
# Concatenate `arr` with `max_chunk`, extended along `axis` by `pad_amt`
- return np.concatenate((arr, max_chunk.repeat(pad_amt, axis=axis)),
- axis=axis)
+ return _do_append(arr, max_chunk.repeat(pad_amt, axis=axis), axis)
def _prepend_mean(arr, pad_amt, num, axis=-1):
@@ -431,16 +447,14 @@ def _prepend_mean(arr, pad_amt, num, axis=-1):
num = None
# Slice a chunk from the edge to calculate stats on
- mean_slice = tuple(slice(None) if i != axis else slice(num)
- for (i, x) in enumerate(arr.shape))
+ mean_slice = _slice_first(arr.shape, num, axis=axis)
# Extract slice, calculate mean
mean_chunk = arr[mean_slice].mean(axis, keepdims=True)
_round_ifneeded(mean_chunk, arr.dtype)
# Concatenate `arr` with `mean_chunk`, extended along `axis` by `pad_amt`
- return np.concatenate((mean_chunk.repeat(pad_amt, axis).astype(arr.dtype),
- arr), axis=axis)
+ return _do_prepend(arr, mean_chunk.repeat(pad_amt, axis), axis=axis)
def _append_mean(arr, pad_amt, num, axis=-1):
@@ -479,11 +493,8 @@ def _append_mean(arr, pad_amt, num, axis=-1):
num = None
# Slice a chunk from the edge to calculate stats on
- end = arr.shape[axis] - 1
if num is not None:
- mean_slice = tuple(
- slice(None) if i != axis else slice(end, end - num, -1)
- for (i, x) in enumerate(arr.shape))
+ mean_slice = _slice_last(arr.shape, num, axis=axis)
else:
mean_slice = tuple(slice(None) for x in arr.shape)
@@ -492,8 +503,7 @@ def _append_mean(arr, pad_amt, num, axis=-1):
_round_ifneeded(mean_chunk, arr.dtype)
# Concatenate `arr` with `mean_chunk`, extended along `axis` by `pad_amt`
- return np.concatenate(
- (arr, mean_chunk.repeat(pad_amt, axis).astype(arr.dtype)), axis=axis)
+ return _do_append(arr, mean_chunk.repeat(pad_amt, axis), axis=axis)
def _prepend_med(arr, pad_amt, num, axis=-1):
@@ -532,16 +542,14 @@ def _prepend_med(arr, pad_amt, num, axis=-1):
num = None
# Slice a chunk from the edge to calculate stats on
- med_slice = tuple(slice(None) if i != axis else slice(num)
- for (i, x) in enumerate(arr.shape))
+ med_slice = _slice_first(arr.shape, num, axis=axis)
# Extract slice, calculate median
med_chunk = np.median(arr[med_slice], axis=axis, keepdims=True)
_round_ifneeded(med_chunk, arr.dtype)
# Concatenate `arr` with `med_chunk`, extended along `axis` by `pad_amt`
- return np.concatenate(
- (med_chunk.repeat(pad_amt, axis).astype(arr.dtype), arr), axis=axis)
+ return _do_prepend(arr, med_chunk.repeat(pad_amt, axis), axis=axis)
def _append_med(arr, pad_amt, num, axis=-1):
@@ -580,11 +588,8 @@ def _append_med(arr, pad_amt, num, axis=-1):
num = None
# Slice a chunk from the edge to calculate stats on
- end = arr.shape[axis] - 1
if num is not None:
- med_slice = tuple(
- slice(None) if i != axis else slice(end, end - num, -1)
- for (i, x) in enumerate(arr.shape))
+ med_slice = _slice_last(arr.shape, num, axis=axis)
else:
med_slice = tuple(slice(None) for x in arr.shape)
@@ -593,8 +598,7 @@ def _append_med(arr, pad_amt, num, axis=-1):
_round_ifneeded(med_chunk, arr.dtype)
# Concatenate `arr` with `med_chunk`, extended along `axis` by `pad_amt`
- return np.concatenate(
- (arr, med_chunk.repeat(pad_amt, axis).astype(arr.dtype)), axis=axis)
+ return _do_append(arr, med_chunk.repeat(pad_amt, axis), axis=axis)
def _prepend_min(arr, pad_amt, num, axis=-1):
@@ -634,15 +638,13 @@ def _prepend_min(arr, pad_amt, num, axis=-1):
num = None
# Slice a chunk from the edge to calculate stats on
- min_slice = tuple(slice(None) if i != axis else slice(num)
- for (i, x) in enumerate(arr.shape))
+ min_slice = _slice_first(arr.shape, num, axis=axis)
# Extract slice, calculate min
min_chunk = arr[min_slice].min(axis=axis, keepdims=True)
# Concatenate `arr` with `min_chunk`, extended along `axis` by `pad_amt`
- return np.concatenate((min_chunk.repeat(pad_amt, axis=axis), arr),
- axis=axis)
+ return _do_prepend(arr, min_chunk.repeat(pad_amt, axis), axis=axis)
def _append_min(arr, pad_amt, num, axis=-1):
@@ -681,11 +683,8 @@ def _append_min(arr, pad_amt, num, axis=-1):
num = None
# Slice a chunk from the edge to calculate stats on
- end = arr.shape[axis] - 1
if num is not None:
- min_slice = tuple(
- slice(None) if i != axis else slice(end, end - num, -1)
- for (i, x) in enumerate(arr.shape))
+ min_slice = _slice_last(arr.shape, num, axis=axis)
else:
min_slice = tuple(slice(None) for x in arr.shape)
@@ -693,8 +692,7 @@ def _append_min(arr, pad_amt, num, axis=-1):
min_chunk = arr[min_slice].min(axis=axis, keepdims=True)
# Concatenate `arr` with `min_chunk`, extended along `axis` by `pad_amt`
- return np.concatenate((arr, min_chunk.repeat(pad_amt, axis=axis)),
- axis=axis)
+ return _do_append(arr, min_chunk.repeat(pad_amt, axis), axis=axis)
def _pad_ref(arr, pad_amt, method, axis=-1):
@@ -737,15 +735,13 @@ def _pad_ref(arr, pad_amt, method, axis=-1):
# Prepended region
# Slice off a reverse indexed chunk from near edge to pad `arr` before
- ref_slice = tuple(slice(None) if i != axis else slice(pad_amt[0], 0, -1)
- for (i, x) in enumerate(arr.shape))
+ ref_slice = _slice_at_axis(arr.shape, slice(pad_amt[0], 0, -1), axis=axis)
ref_chunk1 = arr[ref_slice]
# Memory/computationally more expensive, only do this if `method='odd'`
if 'odd' in method and pad_amt[0] > 0:
- edge_slice1 = tuple(slice(None) if i != axis else slice(0, 1)
- for (i, x) in enumerate(arr.shape))
+ edge_slice1 = _slice_first(arr.shape, 1, axis=axis)
edge_chunk = arr[edge_slice1]
ref_chunk1 = 2 * edge_chunk - ref_chunk1
del edge_chunk
@@ -756,15 +752,12 @@ def _pad_ref(arr, pad_amt, method, axis=-1):
# Slice off a reverse indexed chunk from far edge to pad `arr` after
start = arr.shape[axis] - pad_amt[1] - 1
end = arr.shape[axis] - 1
- ref_slice = tuple(slice(None) if i != axis else slice(start, end)
- for (i, x) in enumerate(arr.shape))
- rev_idx = tuple(slice(None) if i != axis else slice(None, None, -1)
- for (i, x) in enumerate(arr.shape))
+ ref_slice = _slice_at_axis(arr.shape, slice(start, end), axis=axis)
+ rev_idx = _slice_at_axis(arr.shape, slice(None, None, -1), axis=axis)
ref_chunk2 = arr[ref_slice][rev_idx]
if 'odd' in method:
- edge_slice2 = tuple(slice(None) if i != axis else slice(x - 1, x)
- for (i, x) in enumerate(arr.shape))
+ edge_slice2 = _slice_last(arr.shape, 1, axis=axis)
edge_chunk = arr[edge_slice2]
ref_chunk2 = 2 * edge_chunk - ref_chunk2
del edge_chunk
@@ -813,16 +806,13 @@ def _pad_sym(arr, pad_amt, method, axis=-1):
# Prepended region
# Slice off a reverse indexed chunk from near edge to pad `arr` before
- sym_slice = tuple(slice(None) if i != axis else slice(0, pad_amt[0])
- for (i, x) in enumerate(arr.shape))
- rev_idx = tuple(slice(None) if i != axis else slice(None, None, -1)
- for (i, x) in enumerate(arr.shape))
+ sym_slice = _slice_first(arr.shape, pad_amt[0], axis=axis)
+ rev_idx = _slice_at_axis(arr.shape, slice(None, None, -1), axis=axis)
sym_chunk1 = arr[sym_slice][rev_idx]
# Memory/computationally more expensive, only do this if `method='odd'`
if 'odd' in method and pad_amt[0] > 0:
- edge_slice1 = tuple(slice(None) if i != axis else slice(0, 1)
- for (i, x) in enumerate(arr.shape))
+ edge_slice1 = _slice_first(arr.shape, 1, axis=axis)
edge_chunk = arr[edge_slice1]
sym_chunk1 = 2 * edge_chunk - sym_chunk1
del edge_chunk
@@ -831,15 +821,11 @@ def _pad_sym(arr, pad_amt, method, axis=-1):
# Appended region
# Slice off a reverse indexed chunk from far edge to pad `arr` after
- start = arr.shape[axis] - pad_amt[1]
- end = arr.shape[axis]
- sym_slice = tuple(slice(None) if i != axis else slice(start, end)
- for (i, x) in enumerate(arr.shape))
+ sym_slice = _slice_last(arr.shape, pad_amt[1], axis=axis)
sym_chunk2 = arr[sym_slice][rev_idx]
if 'odd' in method:
- edge_slice2 = tuple(slice(None) if i != axis else slice(x - 1, x)
- for (i, x) in enumerate(arr.shape))
+ edge_slice2 = _slice_last(arr.shape, 1, axis=axis)
edge_chunk = arr[edge_slice2]
sym_chunk2 = 2 * edge_chunk - sym_chunk2
del edge_chunk
@@ -885,18 +871,14 @@ def _pad_wrap(arr, pad_amt, axis=-1):
# Prepended region
# Slice off a reverse indexed chunk from near edge to pad `arr` before
- start = arr.shape[axis] - pad_amt[0]
- end = arr.shape[axis]
- wrap_slice = tuple(slice(None) if i != axis else slice(start, end)
- for (i, x) in enumerate(arr.shape))
+ wrap_slice = _slice_last(arr.shape, pad_amt[0], axis=axis)
wrap_chunk1 = arr[wrap_slice]
##########################################################################
# Appended region
# Slice off a reverse indexed chunk from far edge to pad `arr` after
- wrap_slice = tuple(slice(None) if i != axis else slice(0, pad_amt[1])
- for (i, x) in enumerate(arr.shape))
+ wrap_slice = _slice_first(arr.shape, pad_amt[1], axis=axis)
wrap_chunk2 = arr[wrap_slice]
# Concatenate `arr` with both chunks, extending along `axis`