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# Module containing non-deprecated functions borrowed from Numeric.
# functions that are now methods
__all__ = ['take', 'reshape', 'choose', 'repeat', 'put', 'putmask',
'swapaxes', 'transpose', 'sort', 'argsort', 'argmax', 'argmin',
'searchsorted', 'alen',
'resize', 'diagonal', 'trace', 'ravel', 'nonzero', 'shape',
'compress', 'clip', 'sum', 'product', 'prod', 'sometrue', 'alltrue',
'any', 'all', 'cumsum', 'cumproduct', 'cumprod', 'ptp', 'ndim',
'rank', 'size', 'around', 'round_', 'mean', 'std', 'var', 'squeeze',
'amax', 'amin',
]
import multiarray as mu
import umath as um
import numerictypes as nt
from numeric import asarray, array, asanyarray, correlate, outer, concatenate
from umath import sign, absolute, multiply
import numeric as _nx
import sys
_dt_ = nt.sctype2char
import types
try:
_gentype = types.GeneratorType
except AttributeError:
_gentype = types.NoneType
# save away Python sum
_sum_ = sum
# functions that are now methods
def _wrapit(obj, method, *args, **kwds):
try:
wrap = obj.__array_wrap__
except AttributeError:
wrap = None
result = getattr(asarray(obj),method)(*args, **kwds)
if wrap and isinstance(result, mu.ndarray):
if not isinstance(result, mu.ndarray):
result = asarray(result)
result = wrap(result)
return result
def take(a, indices, axis=None):
try:
take = a.take
except AttributeError:
return _wrapit(a, 'take', indices, axis)
return take(indices, axis)
# not deprecated --- copy if necessary, view otherwise
def reshape(a, newshape, order='C'):
"""Change the shape of a to newshape.
Return a new view object if possible otherwise return a copy.
"""
try:
reshape = a.reshape
except AttributeError:
return _wrapit(a, 'reshape', newshape, order=order)
return reshape(newshape, order=order)
def choose(a, choices):
try:
choose = a.choose
except AttributeError:
return _wrapit(a, 'choose', choices)
return choose(choices)
def repeat(a, repeats, axis=None):
"""repeat elements of a repeats times along axis
repeats is a sequence of length a.shape[axis]
telling how many times to repeat each element.
If repeats is an integer, it is interpreted as
a tuple of length a.shape[axis] containing repeats.
The argument a can be anything array(a) will accept.
"""
try:
repeat = a.repeat
except AttributeError:
return _wrapit(a, 'repeat', repeats, axis)
return repeat(repeats, axis)
def put (a, ind, v):
"""put(a, ind, v) results in a[n] = v[n] for all n in ind
If v is shorter than mask it will be repeated as necessary.
In particular v can be a scalar or length 1 array.
The routine put is the equivalent of the following (although the loop
is in C for speed):
ind = array(indices, copy=False)
v = array(values, copy=False).astype(a.dtype)
for i in ind: a.flat[i] = v[i]
a must be a contiguous numpy array.
"""
return a.put(v,ind)
def putmask (a, mask, v):
"""putmask(a, mask, v) results in a = v for all places mask is true.
If v is shorter than mask it will be repeated as necessary.
In particular v can be a scalar or length 1 array.
"""
return a.putmask(v, mask)
def swapaxes(a, axis1, axis2):
"""swapaxes(a, axis1, axis2) returns array a with axis1 and axis2
interchanged.
"""
try:
swapaxes = a.swapaxes
except AttributeError:
return _wrapit(a, 'swapaxes', axis1, axis2)
return swapaxes(axis1, axis2)
def transpose(a, axes=None):
"""transpose(a, axes=None) returns a view of the array with
dimensions permuted according to axes. If axes is None
(default) returns array with dimensions reversed.
"""
try:
transpose = a.transpose
except AttributeError:
return _wrapit(a, 'transpose', axes)
return transpose(axes)
def sort(a, axis=-1):
"""sort(a,axis=-1) returns array with elements sorted along given axis.
"""
a = asanyarray(a).copy()
a.sort(axis)
return a
def argsort(a, axis=-1):
"""argsort(a,axis=-1) return the indices into a of the sorted array
along the given axis.
"""
try:
argsort = a.argsort
except AttributeError:
return _wrapit(a, 'argsort', axis)
return argsort(axis)
def argmax(a, axis=-1):
"""argmax(a,axis=-1) returns the indices to the maximum value of the
1-D arrays along the given axis.
"""
try:
argmax = a.argmax
except AttributeError:
return _wrapit(a, 'argmax', axis)
return argmax(axis)
def argmin(a, axis=-1):
"""argmin(a,axis=-1) returns the indices to the minimum value of the
1-D arrays along the given axis.
"""
try:
argmin = a.argmin
except AttributeError:
return _wrapit(a, 'argmin', axis)
return argmin(axis)
def searchsorted(a, v):
"""searchsorted(a, v)
"""
try:
searchsorted = a.searchsorted
except AttributeError:
return _wrapit(a, 'searchsorted', v)
return searchsorted(v)
def resize(a, new_shape):
"""resize(a,new_shape) returns a new array with the specified shape.
The original array's total size can be any size. It
fills the new array with repeated copies of a.
Note that a.resize(new_shape) will fill array with 0's
beyond current definition of a.
"""
if isinstance(new_shape, (int, nt.integer)):
new_shape = (new_shape,)
a = ravel(a)
Na = len(a)
if not Na: return mu.zeros(new_shape, a.dtype.char)
total_size = um.multiply.reduce(new_shape)
n_copies = int(total_size / Na)
extra = total_size % Na
if total_size == 0:
return a[:0]
if extra != 0:
n_copies = n_copies+1
extra = Na-extra
a = concatenate( (a,)*n_copies)
if extra > 0:
a = a[:-extra]
return reshape(a, new_shape)
def squeeze(a):
"Returns a with any ones from the shape of a removed"
try:
squeeze = a.squeeze
except AttributeError:
return _wrapit(a, 'squeeze')
return squeeze()
def diagonal(a, offset=0, axis1=0, axis2=1):
"""diagonal(a, offset=0, axis1=0, axis2=1) returns the given diagonals
defined by the last two dimensions of the array.
"""
return asarray(a).diagonal(offset, axis1, axis2)
def trace(a, offset=0, axis1=0, axis2=1, dtype=None):
"""trace(a,offset=0, axis1=0, axis2=1) returns the sum along diagonals
(defined by the last two dimenions) of the array.
"""
return asarray(a).trace(offset, axis1, axis2, dtype)
def ravel(m,order='C'):
"""ravel(m) returns a 1d array corresponding to all the elements of it's
argument. The new array is a view of m if possible, otherwise it is
a copy.
"""
a = asarray(m)
return a.ravel(order)
def nonzero(a):
"""nonzero(a) returns the indices of the elements of a which are not zero,
a must be 1d
"""
try:
nonzero = a.nonzero
except AttributeError:
res = _wrapit(a, 'nonzero')
else:
res = nonzero()
return res
def shape(a):
"""shape(a) returns the shape of a (as a function call which
also works on nested sequences).
"""
try:
result = a.shape
except AttributeError:
result = asarray(a).shape
return result
def compress(condition, m, axis=-1):
"""compress(condition, x, axis=-1) = those elements of x corresponding
to those elements of condition that are "true". condition must be the
same size as the given dimension of x."""
try:
compress = m.compress
except AttributeError:
return _wrapit(m, 'compress', condition, axis)
return compress(condition, axis)
def clip(m, m_min, m_max):
"""clip(m, m_min, m_max) = every entry in m that is less than m_min is
replaced by m_min, and every entry greater than m_max is replaced by
m_max.
"""
try:
clip = m.clip
except AttributeError:
return _wrapit(m, 'clip', m_min, m_max)
return clip(m_min, m_max)
def sum(x, axis=None, dtype=None):
"""Sum the array over the given axis. The optional dtype argument
is the data type for intermediate calculations.
The default is to upcast (promote) smaller integer types to the
platform-dependent Int. For example, on 32-bit platforms:
x.dtype default sum() dtype
---------------------------------------------------
bool, Int8, Int16, Int32 Int32
Examples:
>>> sum([0.5, 1.5])
2.0
>>> sum([0.5, 1.5], dtype=Int32)
1
>>> sum([[0, 1], [0, 5]])
array([0, 6])
>>> sum([[0, 1], [0, 5]], axis=1)
array([1, 5])
"""
if isinstance(x, _gentype):
return _sum_(x)
try:
sum = x.sum
except AttributeError:
return _wrapit(x, 'sum', axis, dtype)
return sum(axis, dtype)
def product (x, axis=None, dtype=None):
"""Product of the array elements over the given axis."""
try:
prod = x.prod
except AttributeError:
return _wrapit(x, 'prod', axis, dtype)
return prod(axis, dtype)
def sometrue (x, axis=None):
"""Perform a logical_or over the given axis."""
try:
any = x.any
except AttributeError:
return _wrapit(x, 'any', axis)
return any(axis)
def alltrue (x, axis=None):
"""Perform a logical_and over the given axis."""
try:
all = x.all
except AttributeError:
return _wrapit(x, 'all', axis)
return all(axis)
def any(x,axis=None):
"""Return true if any elements of x are true:
"""
try:
any = x.any
except AttributeError:
return _wrapit(x, 'any', axis)
return any(axis)
def all(x,axis=None):
"""Return true if all elements of x are true:
"""
try:
all = x.all
except AttributeError:
return _wrapit(x, 'all', axis)
return all(axis)
def cumsum (x, axis=None, dtype=None):
"""Sum the array over the given axis."""
try:
cumsum = x.cumsum
except AttributeError:
return _wrapit(x, 'cumsum', axis, dtype)
return cumsum(axis, dtype)
def cumproduct (x, axis=None, dtype=None):
"""Sum the array over the given axis."""
try:
cumprod = x.cumprod
except AttributeError:
return _wrapit(x, 'cumprod', axis, dtype)
return cumprod(axis, dtype)
def ptp(a, axis=None):
"""Return maximum - minimum along the the given dimension
"""
try:
ptp = a.ptp
except AttributeError:
return _wrapit(a, 'ptp', axis)
return ptp(axis)
def amax(a, axis=None):
"""Return the maximum of 'a' along dimension axis.
"""
try:
max = a.max
except AttributeError:
return _wrapit(a, 'max', axis)
return max(axis)
def amin(a, axis=None):
"""Return the minimum of a along dimension axis.
"""
try:
min = a.min
except AttributeError:
return _wrapit(a, 'min', axis)
return min(axis)
def alen(a):
"""Return the length of a Python object interpreted as an array
of at least 1 dimension.
"""
try:
return len(a)
except TypeError:
return len(array(a,ndmin=1))
def prod(a, axis=None, dtype=None):
"""Return the product of the elements along the given axis
"""
try:
prod = a.prod
except AttributeError:
return _wrapit(a, 'prod', axis, dtype)
return prod(axis, dtype)
def cumprod(a, axis=None, dtype=None):
"""Return the cumulative product of the elments along the given axis
"""
try:
cumprod = a.cumprod
except AttributeError:
return _wrapit(a, 'cumprod', axis, dtype)
return cumprod(axis, dtype)
def ndim(a):
try:
return a.ndim
except AttributeError:
return asarray(a).ndim
def rank(a):
"""Get the rank of sequence a (the number of dimensions, not a matrix rank)
The rank of a scalar is zero.
"""
try:
return a.ndim
except AttributeError:
return asarray(a).ndim
def size (a, axis=None):
"Get the number of elements in sequence a, or along a certain axis."
if axis is None:
try:
return a.size
except AttributeError:
return asarray(a).size
else:
try:
return a.shape[axis]
except AttributeError:
return asarray(a).shape[axis]
def round_(a, decimals=0):
"""Round 'a' to the given number of decimal places. Rounding
behaviour is equivalent to Python.
Return 'a' if the array is not floating point. Round both the real
and imaginary parts separately if the array is complex.
"""
try:
round = a.round
except AttributeError:
return _wrapit(a, 'round', decimals)
return round(decimals)
around = round_
def mean(a, axis=None, dtype=None):
"""mean(a, axis=None, dtype=None)
Return the arithmetic mean.
The mean is the sum of the elements divided by the number of elements.
See also: average
"""
try:
mean = a.mean
except AttributeError:
return _wrapit(a, 'mean', axis, dtype)
return mean(axis, dtype)
def std(a, axis=None, dtype=None):
"""std(sample, axis=None, dtype=None)
Return the standard deviation, a measure of the spread of a distribution.
The standard deviation is the square root of the average of the squared
deviations from the mean, i.e. std = sqrt(mean((x - x.mean())**2)).
See also: var
"""
try:
std = a.std
except AttributeError:
return _wrapit(a, 'std', axis, dtype)
return std(axis, dtype)
def var(a, axis=None, dtype=None):
"""var(sample, axis=None, dtype=None)
Return the variance, a measure of the spread of a distribution.
The variance is the average of the squared deviations from the mean,
i.e. var = mean((x - x.mean())**2).
See also: std
"""
try:
var = a.var
except AttributeError:
return _wrapit(a, 'var', axis, dtype)
return var(axis, dtype)
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