Author: tlinnet
Date: Sat May 10 10:06:50 2014
New Revision: 23147

URL: http://svn.gna.org/viewcvs/relax?rev=23147&view=rev
Log:
Added lib/numpy_future.py.

This module is for implementing numpy function code from higher versions of 
numpy.

The relax dependencies listed at the download page of relax:
http://www.nmr-relax.com/download.html#Source_code_release
currently only requires Numpy v. 1.0.4.

task #7792: (https://gna.org/task/?7792) Make the dx.map write suggest chi 
surface values.

Added:
    trunk/lib/numpy_future.py

Added: trunk/lib/numpy_future.py
URL: 
http://svn.gna.org/viewcvs/relax/trunk/lib/numpy_future.py?rev=23147&view=auto
==============================================================================
--- trunk/lib/numpy_future.py   (added)
+++ trunk/lib/numpy_future.py   Sat May 10 10:06:50 2014
@@ -0,0 +1,178 @@
+#####################################################################################################################################################
+#                                                                              
                                                                     #
+# Copyright (c) 2005-2013, NumPy Developers.                                   
                                                                       #
+#                                                                              
                                                                     #
+# All rights reserved.                                                         
                                                                     #
+#                                                                              
                                                                     #
+# Redistribution and use in source and binary forms, with or without 
modification, are permitted provided that the following conditions are met:    #
+#                                                                              
                                                                     #
+#   1. Redistributions of source code must retain the above copyright notice, 
this list of conditions and the following disclaimer.                 #
+#   2. Redistributions in binary form must reproduce the above copyright 
notice, this list of conditions                                            #
+#      and the following disclaimer in the documentation and/or other 
materials provided with the distribution.                                     #
+#   3. Neither the name of the NumPy Developers nor the names of any 
contributors may be used to endorse or promote products derived from this      #
+#      software without specific prior written permission.                     
                                                                     #
+#                                                                              
                                                                     #
+# THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" 
AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT             #
+# LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A 
PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT        #
+# OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, 
SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT            #
+# LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, 
OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON           #
+# ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT 
(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE     #
+# OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.         
                                                                     #
+#                                                                              
                                                                     #
+# The full license for NumPy is provided at: 
http://www.numpy.org/license.html.                                              
                       #
+# This license is known under the terms: 3-clause license ("Revised BSD 
License", "New BSD License", or "Modified BSD License").                    #
+# This can be found here: http://opensource.org/licenses/BSD-3-Clause          
                                                                     #
+#                                                                              
                                                                     #
+####################################################################################################################################################
+
+# Module docstring.
+"""Module for implementing numpy function code from higher versions of numpy. 
The relax dependencies listed at 
+U{the download page of 
relax<http://www.nmr-relax.com/download.html#Source_code_release>}, currently 
only requires 1.0.4."""
+
+# Python module imports.
+import numpy as np
+from numpy import add, array, isscalar, sort
+
+#####################################################################
+# This is from source code of Numpy v. 1.6.1.                       #
+#####################################################################
+
+def percentile(a, q, axis=None, out=None, overwrite_input=False):
+    """
+    Compute the qth percentile of the data along the specified axis.
+
+    Returns the qth percentile of the array elements.
+
+    Parameters
+    ----------
+    a : array_like
+        Input array or object that can be converted to an array.
+    q : float in range of [0,100] (or sequence of floats)
+        Percentile to compute which must be between 0 and 100 inclusive.
+    axis : int, optional
+        Axis along which the percentiles are computed. The default (None)
+        is to compute the median along a flattened version of the array.
+    out : ndarray, optional
+        Alternative output array in which to place the result. It must
+        have the same shape and buffer length as the expected output,
+        but the type (of the output) will be cast if necessary.
+    overwrite_input : bool, optional
+       If True, then allow use of memory of input array `a` for
+       calculations. The input array will be modified by the call to
+       median. This will save memory when you do not need to preserve
+       the contents of the input array. Treat the input as undefined,
+       but it will probably be fully or partially sorted.
+       Default is False. Note that, if `overwrite_input` is True and the
+       input is not already an array, an error will be raised.
+
+    Returns
+    -------
+    pcntile : ndarray
+        A new array holding the result (unless `out` is specified, in
+        which case that array is returned instead).  If the input contains
+        integers, or floats of smaller precision than 64, then the output
+        data-type is float64.  Otherwise, the output data-type is the same
+        as that of the input.
+
+    See Also
+    --------
+    mean, median
+
+    Notes
+    -----
+    Given a vector V of length N, the qth percentile of V is the qth ranked
+    value in a sorted copy of V.  A weighted average of the two nearest
+    neighbors is used if the normalized ranking does not match q exactly.
+    The same as the median if ``q=0.5``, the same as the minimum if ``q=0``
+    and the same as the maximum if ``q=1``.
+
+    Examples
+    --------
+    >>> a = np.array([[10, 7, 4], [3, 2, 1]])
+    >>> a
+    array([[10,  7,  4],
+           [ 3,  2,  1]])
+    >>> np.percentile(a, 50)
+    3.5
+    >>> np.percentile(a, 0.5, axis=0)
+    array([ 6.5,  4.5,  2.5])
+    >>> np.percentile(a, 50, axis=1)
+    array([ 7.,  2.])
+
+    >>> m = np.percentile(a, 50, axis=0)
+    >>> out = np.zeros_like(m)
+    >>> np.percentile(a, 50, axis=0, out=m)
+    array([ 6.5,  4.5,  2.5])
+    >>> m
+    array([ 6.5,  4.5,  2.5])
+
+    >>> b = a.copy()
+    >>> np.percentile(b, 50, axis=1, overwrite_input=True)
+    array([ 7.,  2.])
+    >>> assert not np.all(a==b)
+    >>> b = a.copy()
+    >>> np.percentile(b, 50, axis=None, overwrite_input=True)
+    3.5
+
+    """
+    a = np.asarray(a)
+
+    if q == 0:
+        return a.min(axis=axis, out=out)
+    elif q == 100:
+        return a.max(axis=axis, out=out)
+
+    if overwrite_input:
+        if axis is None:
+            sorted = a.ravel()
+            sorted.sort()
+        else:
+            a.sort(axis=axis)
+            sorted = a
+    else:
+        sorted = sort(a, axis=axis)
+    if axis is None:
+        axis = 0
+
+    return _compute_qth_percentile(sorted, q, axis, out)
+
+
+#####################################################################
+# This is from source code of Numpy v. 1.6.1.                       #
+#####################################################################
+
+# handle sequence of q's without calling sort multiple times
+def _compute_qth_percentile(sorted, q, axis, out):
+    if not isscalar(q):
+        p = [_compute_qth_percentile(sorted, qi, axis, None)
+             for qi in q]
+
+        if out is not None:
+            out.flat = p
+
+        return p
+
+    q = q / 100.0
+    if (q < 0) or (q > 1):
+        raise ValueError, "percentile must be either in the range [0,100]"
+
+    indexer = [slice(None)] * sorted.ndim
+    Nx = sorted.shape[axis]
+    index = q*(Nx-1)
+    i = int(index)
+    if i == index:
+        indexer[axis] = slice(i, i+1)
+        weights = array(1)
+        sumval = 1.0
+    else:
+        indexer[axis] = slice(i, i+2)
+        j = i + 1
+        weights = array([(j - index), (index - i)],float)
+        wshape = [1]*sorted.ndim
+        wshape[axis] = 2
+        weights.shape = wshape
+        sumval = weights.sum()
+
+    # Use add.reduce in both cases to coerce data type as well as
+    #   check and use out array.
+    return add.reduce(sorted[indexer]*weights, axis=axis, out=out)/sumval


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