From 49286309dba640f14cdae05f239e4e75359b35c7 Mon Sep 17 00:00:00 2001 From: "github-actions[bot]" Date: Thu, 9 May 2024 13:01:03 +0000 Subject: [PATCH] Implement dpnp.cumprod through dpctl.tensor (#1811) Co-authored-by: vtavana <120411540+vtavana@users.noreply.github.com> a07981517744871ce84b99a9f599972fda2689a7 --- .buildinfo | 2 +- _modules/dpnp/dpnp_array.html | 20 +++- _modules/dpnp/dpnp_flatiter.html | 6 +- _modules/dpnp/dpnp_iface.html | 6 +- _modules/dpnp/dpnp_iface_arraycreation.html | 6 +- _modules/dpnp/dpnp_iface_counting.html | 6 +- _modules/dpnp/dpnp_iface_histograms.html | 6 +- _modules/dpnp/dpnp_iface_indexing.html | 6 +- _modules/dpnp/dpnp_iface_libmath.html | 6 +- _modules/dpnp/dpnp_iface_linearalgebra.html | 6 +- _modules/dpnp/dpnp_iface_logic.html | 6 +- _modules/dpnp/dpnp_iface_manipulation.html | 6 +- _modules/dpnp/dpnp_iface_mathematical.html | 90 +++++++++++++----- _modules/dpnp/dpnp_iface_nanfunctions.html | 10 +- _modules/dpnp/dpnp_iface_searching.html | 6 +- 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+- 489 files changed, 1643 insertions(+), 1502 deletions(-) diff --git a/.buildinfo b/.buildinfo index a494ee50459..759d2bd2dc3 100644 --- a/.buildinfo +++ b/.buildinfo @@ -1,4 +1,4 @@ # Sphinx build info version 1 # This file hashes the configuration used when building these files. When it is not found, a full rebuild will be done. -config: b44de31c7180b0b8936c0234e51ebc18 +config: d2b2af9022b8857446de74d05f004425 tags: 645f666f9bcd5a90fca523b33c5a78b7 diff --git a/_modules/dpnp/dpnp_array.html b/_modules/dpnp/dpnp_array.html index 89534b9bed5..29f14c71b1a 100644 --- a/_modules/dpnp/dpnp_array.html +++ b/_modules/dpnp/dpnp_array.html @@ -12,7 +12,7 @@ - dpnp.dpnp_array — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation + dpnp.dpnp_array — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation @@ -23,7 +23,7 @@ - + @@ -43,7 +43,7 @@ Data Parallel Extension for NumPy
- 0.15.0dev1+53.gca23a985e1 + 0.15.0dev1+51.ga079815177
@@ -882,7 +882,19 @@

Source code for dpnp.dpnp_array

 
 
     # 'ctypes',
-    # 'cumprod',
+
+

+[docs]
+    def cumprod(self, axis=None, dtype=None, out=None):
+        """
+        Return the cumulative product of the elements along the given axis.
+
+        Refer to :obj:`dpnp.cumprod` for full documentation.
+
+        """
+
+        return dpnp.cumprod(self, axis=axis, dtype=dtype, out=out)

+
 
 

 [docs]
diff --git a/_modules/dpnp/dpnp_flatiter.html b/_modules/dpnp/dpnp_flatiter.html
index 51eda51c092..14fcdc43d30 100644
--- a/_modules/dpnp/dpnp_flatiter.html
+++ b/_modules/dpnp/dpnp_flatiter.html
@@ -12,7 +12,7 @@
     
     
   
-  dpnp.dpnp_flatiter — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.dpnp_flatiter — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
@@ -23,7 +23,7 @@
   
         
         
-        
+        
         
         
     
@@ -43,7 +43,7 @@
             Data Parallel Extension for NumPy
           
               

-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               

 

   
diff --git a/_modules/dpnp/dpnp_iface.html b/_modules/dpnp/dpnp_iface.html
index e0d15fecc49..7d95d3eb5bb 100644
--- a/_modules/dpnp/dpnp_iface.html
+++ b/_modules/dpnp/dpnp_iface.html
@@ -12,7 +12,7 @@
     
     
   
-  dpnp.dpnp_iface — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.dpnp_iface — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
@@ -23,7 +23,7 @@
   
         
         
-        
+        
         
         
     
@@ -43,7 +43,7 @@
             Data Parallel Extension for NumPy
           
               

-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               

 

   
diff --git a/_modules/dpnp/dpnp_iface_arraycreation.html b/_modules/dpnp/dpnp_iface_arraycreation.html
index ebe37bf7251..8dee8485f8c 100644
--- a/_modules/dpnp/dpnp_iface_arraycreation.html
+++ b/_modules/dpnp/dpnp_iface_arraycreation.html
@@ -12,7 +12,7 @@
     
     
   
-  dpnp.dpnp_iface_arraycreation — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.dpnp_iface_arraycreation — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
@@ -23,7 +23,7 @@
   
         
         
-        
+        
         
         
     
@@ -43,7 +43,7 @@
             Data Parallel Extension for NumPy
           
               

-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               

 

   
diff --git a/_modules/dpnp/dpnp_iface_counting.html b/_modules/dpnp/dpnp_iface_counting.html
index e27fab020a0..e33925c28e7 100644
--- a/_modules/dpnp/dpnp_iface_counting.html
+++ b/_modules/dpnp/dpnp_iface_counting.html
@@ -12,7 +12,7 @@
     
     
   
-  dpnp.dpnp_iface_counting — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.dpnp_iface_counting — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
@@ -23,7 +23,7 @@
   
         
         
-        
+        
         
         
     
@@ -43,7 +43,7 @@
             Data Parallel Extension for NumPy
           
               

-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               

 

   
diff --git a/_modules/dpnp/dpnp_iface_histograms.html b/_modules/dpnp/dpnp_iface_histograms.html
index ec1a7c72815..2f87e3822d8 100644
--- a/_modules/dpnp/dpnp_iface_histograms.html
+++ b/_modules/dpnp/dpnp_iface_histograms.html
@@ -12,7 +12,7 @@
     
     
   
-  dpnp.dpnp_iface_histograms — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.dpnp_iface_histograms — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
@@ -23,7 +23,7 @@
   
         
         
-        
+        
         
         
     
@@ -43,7 +43,7 @@
             Data Parallel Extension for NumPy
           
               

-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               

 

   
diff --git a/_modules/dpnp/dpnp_iface_indexing.html b/_modules/dpnp/dpnp_iface_indexing.html
index 7af9bb42da3..bd429264d82 100644
--- a/_modules/dpnp/dpnp_iface_indexing.html
+++ b/_modules/dpnp/dpnp_iface_indexing.html
@@ -12,7 +12,7 @@
     
     
   
-  dpnp.dpnp_iface_indexing — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.dpnp_iface_indexing — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
@@ -23,7 +23,7 @@
   
         
         
-        
+        
         
         
     
@@ -43,7 +43,7 @@
             Data Parallel Extension for NumPy
           
               

-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               

 

   
diff --git a/_modules/dpnp/dpnp_iface_libmath.html b/_modules/dpnp/dpnp_iface_libmath.html
index 490b083a574..a9dd105b1cb 100644
--- a/_modules/dpnp/dpnp_iface_libmath.html
+++ b/_modules/dpnp/dpnp_iface_libmath.html
@@ -12,7 +12,7 @@
     
     
   
-  dpnp.dpnp_iface_libmath — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.dpnp_iface_libmath — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
@@ -23,7 +23,7 @@
   
         
         
-        
+        
         
         
     
@@ -43,7 +43,7 @@
             Data Parallel Extension for NumPy
           
               

-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               

 

   
diff --git a/_modules/dpnp/dpnp_iface_linearalgebra.html b/_modules/dpnp/dpnp_iface_linearalgebra.html
index 3b54dc3daa8..f1820f9f03e 100644
--- a/_modules/dpnp/dpnp_iface_linearalgebra.html
+++ b/_modules/dpnp/dpnp_iface_linearalgebra.html
@@ -12,7 +12,7 @@
     
     
   
-  dpnp.dpnp_iface_linearalgebra — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.dpnp_iface_linearalgebra — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
@@ -23,7 +23,7 @@
   
         
         
-        
+        
         
         
     
@@ -43,7 +43,7 @@
             Data Parallel Extension for NumPy
           
               

-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               

 

   
diff --git a/_modules/dpnp/dpnp_iface_logic.html b/_modules/dpnp/dpnp_iface_logic.html
index dff16b9834d..4c80b4d78c8 100644
--- a/_modules/dpnp/dpnp_iface_logic.html
+++ b/_modules/dpnp/dpnp_iface_logic.html
@@ -12,7 +12,7 @@
     
     
   
-  dpnp.dpnp_iface_logic — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.dpnp_iface_logic — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
@@ -23,7 +23,7 @@
   
         
         
-        
+        
         
         
     
@@ -43,7 +43,7 @@
             Data Parallel Extension for NumPy
           
               

-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               

 

   
diff --git a/_modules/dpnp/dpnp_iface_manipulation.html b/_modules/dpnp/dpnp_iface_manipulation.html
index c93ca0459c3..ec5a46dbbb5 100644
--- a/_modules/dpnp/dpnp_iface_manipulation.html
+++ b/_modules/dpnp/dpnp_iface_manipulation.html
@@ -12,7 +12,7 @@
     
     
   
-  dpnp.dpnp_iface_manipulation — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.dpnp_iface_manipulation — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
@@ -23,7 +23,7 @@
   
         
         
-        
+        
         
         
     
@@ -43,7 +43,7 @@
             Data Parallel Extension for NumPy
           
               

-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               

 

   
diff --git a/_modules/dpnp/dpnp_iface_mathematical.html b/_modules/dpnp/dpnp_iface_mathematical.html
index 345811d99bd..c197c30f4f4 100644
--- a/_modules/dpnp/dpnp_iface_mathematical.html
+++ b/_modules/dpnp/dpnp_iface_mathematical.html
@@ -12,7 +12,7 @@
     
     
   
-  dpnp.dpnp_iface_mathematical — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.dpnp_iface_mathematical — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
@@ -23,7 +23,7 @@
   
         
         
-        
+        
         
         
     
@@ -43,7 +43,7 @@
             Data Parallel Extension for NumPy
           
               

-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               

 

   
@@ -148,7 +148,6 @@ 
Source code for dpnp.dpnp_iface_mathematical
from .backend.extensions.sycl_ext import _sycl_ext_impl
 from .dpnp_algo import (
-    dpnp_cumprod,
     dpnp_ediff1d,
     dpnp_fabs,
     dpnp_fmax,
@@ -910,38 +909,85 @@ 
Source code for dpnp.dpnp_iface_mathematical
 [docs]
-def cumprod(x1, **kwargs):
+def cumprod(a, axis=None, dtype=None, out=None):
     """
     Return the cumulative product of elements along a given axis.
 
     For full documentation refer to :obj:`numpy.cumprod`.
 
-    Limitations
-    -----------
-    Parameter `x` is supported as :class:`dpnp.ndarray`.
-    Keyword argument `kwargs` is currently unsupported.
-    Otherwise the function will be executed sequentially on CPU.
-    Input array data types are limited by supported DPNP :ref:`Data types`.
+    Parameters
+    ----------
+    a : {dpnp.ndarray, usm_ndarray}
+        Input array.
+    axis : {None, int}, optional
+        Axis along which the cumulative product is computed. It defaults to
+        compute the cumulative product over the flattened array.
+        Default: ``None``.
+    dtype : {None, dtype}, optional
+        Type of the returned array and of the accumulator in which the elements
+        are multiplied. If `dtype` is not specified, it defaults to the dtype
+        of `a`, unless `a` has an integer dtype with a precision less than that
+        of the default platform integer. In that case, the default platform
+        integer is used.
+        Default: ``None``.
+    out : {None, dpnp.ndarray, usm_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 will
+        be cast if necessary.
+        Default: ``None``.
+
+    Returns
+    -------
+    out : dpnp.ndarray
+        A new array holding the result is returned unless `out` is specified as
+        :class:`dpnp.ndarray`, in which case a reference to `out` is returned.
+        The result has the same size as `a`, and the same shape as `a` if `axis`
+        is not ``None`` or `a` is a 1-d array.
+
+    See Also
+    --------
+    :obj:`dpnp.prod` : Product array elements.
 
     Examples
     --------
     >>> import dpnp as np
     >>> a = np.array([1, 2, 3])
-    >>> result = np.cumprod(a)
-    >>> [x for x in result]
-    [1, 2, 6]
-    >>> b = np.array([[1, 2, 3], [4, 5, 6]])
-    >>> result = np.cumprod(b)
-    >>> [x for x in result]
-    [1, 2, 6, 24, 120, 720]
+    >>> np.cumprod(a) # intermediate results 1, 1*2
+    ...               # total product 1*2*3 = 6
+    array([1, 2, 6])
+    >>> a = np.array([[1, 2, 3], [4, 5, 6]])
+    >>> np.cumprod(a, dtype=np.float32) # specify type of output
+    array([  1.,   2.,   6.,  24., 120., 720.], dtype=float32)
+
+    The cumulative product for each column (i.e., over the rows) of `a`:
+
+    >>> np.cumprod(a, axis=0)
+    array([[ 1,  2,  3],
+           [ 4, 10, 18]])
+
+    The cumulative product for each row (i.e. over the columns) of `a`:
+
+    >>> np.cumprod(a, axis=1)
+    array([[  1,   2,   6],
+           [  4,  20, 120]])
 
     """
 
-    x1_desc = dpnp.get_dpnp_descriptor(x1, copy_when_nondefault_queue=False)
-    if x1_desc and not kwargs:
-        return dpnp_cumprod(x1_desc).get_pyobj()
+    dpnp.check_supported_arrays_type(a)
+    if a.ndim > 1 and axis is None:
+        usm_a = dpnp.ravel(a).get_array()
+    else:
+        usm_a = dpnp.get_usm_ndarray(a)
 
-    return call_origin(numpy.cumprod, x1, **kwargs)

+    return dpnp_wrap_reduction_call(
+        a,
+        out,
+        dpt.cumulative_prod,
+        _get_reduction_res_dt,
+        usm_a,
+        axis=axis,
+        dtype=dtype,
+    )

 
 
 
diff --git a/_modules/dpnp/dpnp_iface_nanfunctions.html b/_modules/dpnp/dpnp_iface_nanfunctions.html
index 8660d001ca9..cec4cc88565 100644
--- a/_modules/dpnp/dpnp_iface_nanfunctions.html
+++ b/_modules/dpnp/dpnp_iface_nanfunctions.html
@@ -12,7 +12,7 @@
     
     
   
-  dpnp.dpnp_iface_nanfunctions — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.dpnp_iface_nanfunctions — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
@@ -23,7 +23,7 @@
   
         
         
-        
+        
         
         
     
@@ -43,7 +43,7 @@
             Data Parallel Extension for NumPy
           
               

-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               

 

   
@@ -363,8 +363,8 @@ 
Source code for dpnp.dpnp_iface_nanfunctions
    See Also
     --------
-    :obj:`dpnp.cumprod` : Return the cumulative product of elements
-                          along a given axis.
+    :obj:`dpnp.cumprod` : Cumulative product across array propagating NaNs.
+    :obj:`dpnp.isnan` : Show which elements are NaN.
 
     Examples
     --------
diff --git a/_modules/dpnp/dpnp_iface_searching.html b/_modules/dpnp/dpnp_iface_searching.html
index 47fd94595fa..2ad966400fe 100644
--- a/_modules/dpnp/dpnp_iface_searching.html
+++ b/_modules/dpnp/dpnp_iface_searching.html
@@ -12,7 +12,7 @@
     
     
   
-  dpnp.dpnp_iface_searching — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.dpnp_iface_searching — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
@@ -23,7 +23,7 @@
   
         
         
-        
+        
         
         
     
@@ -43,7 +43,7 @@
             Data Parallel Extension for NumPy
           
               

-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               

 

   
diff --git a/_modules/dpnp/dpnp_iface_sorting.html b/_modules/dpnp/dpnp_iface_sorting.html
index 86e5efff54f..6acc5ca3b4b 100644
--- a/_modules/dpnp/dpnp_iface_sorting.html
+++ b/_modules/dpnp/dpnp_iface_sorting.html
@@ -12,7 +12,7 @@
     
     
   
-  dpnp.dpnp_iface_sorting — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.dpnp_iface_sorting — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
@@ -23,7 +23,7 @@
   
         
         
-        
+        
         
         
     
@@ -43,7 +43,7 @@
             Data Parallel Extension for NumPy
           
               

-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               

 

   
diff --git a/_modules/dpnp/dpnp_iface_statistics.html b/_modules/dpnp/dpnp_iface_statistics.html
index 1b66780fb20..efc3b9e0bc9 100644
--- a/_modules/dpnp/dpnp_iface_statistics.html
+++ b/_modules/dpnp/dpnp_iface_statistics.html
@@ -12,7 +12,7 @@
     
     
   
-  dpnp.dpnp_iface_statistics — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.dpnp_iface_statistics — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
@@ -23,7 +23,7 @@
   
         
         
-        
+        
         
         
     
@@ -43,7 +43,7 @@
             Data Parallel Extension for NumPy
           
               

-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               

 

   
diff --git a/_modules/dpnp/dpnp_iface_trigonometric.html b/_modules/dpnp/dpnp_iface_trigonometric.html
index c351bbc67f4..32bd53d3759 100644
--- a/_modules/dpnp/dpnp_iface_trigonometric.html
+++ b/_modules/dpnp/dpnp_iface_trigonometric.html
@@ -12,7 +12,7 @@
     
     
   
-  dpnp.dpnp_iface_trigonometric — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.dpnp_iface_trigonometric — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
@@ -23,7 +23,7 @@
   
         
         
-        
+        
         
         
     
@@ -43,7 +43,7 @@
             Data Parallel Extension for NumPy
           
               

-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               

 

   
diff --git a/_modules/dpnp/dpnp_iface_types.html b/_modules/dpnp/dpnp_iface_types.html
index fd887e611b4..cf488edb606 100644
--- a/_modules/dpnp/dpnp_iface_types.html
+++ b/_modules/dpnp/dpnp_iface_types.html
@@ -12,7 +12,7 @@
     
     
   
-  dpnp.dpnp_iface_types — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.dpnp_iface_types — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
@@ -23,7 +23,7 @@
   
         
         
-        
+        
         
         
     
@@ -43,7 +43,7 @@
             Data Parallel Extension for NumPy
           
               

-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               

 

   
diff --git a/_modules/dpnp/fft/dpnp_iface_fft.html b/_modules/dpnp/fft/dpnp_iface_fft.html
index 703c6b97816..9272c7c9e63 100644
--- a/_modules/dpnp/fft/dpnp_iface_fft.html
+++ b/_modules/dpnp/fft/dpnp_iface_fft.html
@@ -12,7 +12,7 @@
     
     
   
-  dpnp.fft.dpnp_iface_fft — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.fft.dpnp_iface_fft — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
@@ -23,7 +23,7 @@
   
         
         
-        
+        
         
         
     
@@ -43,7 +43,7 @@
             Data Parallel Extension for NumPy
           
               

-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               

 

   
diff --git a/_modules/dpnp/linalg/dpnp_iface_linalg.html b/_modules/dpnp/linalg/dpnp_iface_linalg.html
index 82f3c8252ac..fb6289ff548 100644
--- a/_modules/dpnp/linalg/dpnp_iface_linalg.html
+++ b/_modules/dpnp/linalg/dpnp_iface_linalg.html
@@ -12,7 +12,7 @@
     
     
   
-  dpnp.linalg.dpnp_iface_linalg — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.linalg.dpnp_iface_linalg — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
@@ -23,7 +23,7 @@
   
         
         
-        
+        
         
         
     
@@ -43,7 +43,7 @@
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+
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index fb6269b528b..2490463064a 100644
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C

         
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             Data Parallel Extension for NumPy
           
               
          
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diff --git a/reference/generated/dpnp.bitwise_not.html b/reference/generated/dpnp.bitwise_not.html
index 9d9e4ed8275..0685ec88cf1 100644
--- a/reference/generated/dpnp.bitwise_not.html
+++ b/reference/generated/dpnp.bitwise_not.html
@@ -13,7 +13,7 @@
     
     
   
-  dpnp.bitwise_not — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.bitwise_not — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
@@ -24,7 +24,7 @@
   
         
         
-        
+        
         
         
     
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-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               
          
 
          
   
diff --git a/reference/generated/dpnp.bitwise_or.html b/reference/generated/dpnp.bitwise_or.html
index 27dacc4f5dd..bddd33b6cbc 100644
--- a/reference/generated/dpnp.bitwise_or.html
+++ b/reference/generated/dpnp.bitwise_or.html
@@ -13,7 +13,7 @@
     
     
   
-  dpnp.bitwise_or — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.bitwise_or — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
@@ -24,7 +24,7 @@
   
         
         
-        
+        
         
         
     
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-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               
          
 
          
   
diff --git a/reference/generated/dpnp.bitwise_xor.html b/reference/generated/dpnp.bitwise_xor.html
index 41f22c1dddd..a039e7523ed 100644
--- a/reference/generated/dpnp.bitwise_xor.html
+++ b/reference/generated/dpnp.bitwise_xor.html
@@ -13,7 +13,7 @@
     
     
   
-  dpnp.bitwise_xor — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.bitwise_xor — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
@@ -24,7 +24,7 @@
   
         
         
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+        
         
         
     
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-                0.15.0dev1+53.gca23a985e1
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diff --git a/reference/generated/dpnp.broadcast_arrays.html b/reference/generated/dpnp.broadcast_arrays.html
index 35d80ae1436..9b2bbe27655 100644
--- a/reference/generated/dpnp.broadcast_arrays.html
+++ b/reference/generated/dpnp.broadcast_arrays.html
@@ -13,7 +13,7 @@
     
     
   
-  dpnp.broadcast_arrays — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.broadcast_arrays — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
@@ -24,7 +24,7 @@
   
         
         
-        
+        
         
         
     
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-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               
          
 
          
   
diff --git a/reference/generated/dpnp.broadcast_to.html b/reference/generated/dpnp.broadcast_to.html
index 01dcc50e25c..e16bcddc4c0 100644
--- a/reference/generated/dpnp.broadcast_to.html
+++ b/reference/generated/dpnp.broadcast_to.html
@@ -13,7 +13,7 @@
     
     
   
-  dpnp.broadcast_to — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.broadcast_to — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
@@ -24,7 +24,7 @@
   
         
         
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+        
         
         
     
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-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               
          
 
          
   
diff --git a/reference/generated/dpnp.can_cast.html b/reference/generated/dpnp.can_cast.html
index e9534a3dc15..090c61b91a3 100644
--- a/reference/generated/dpnp.can_cast.html
+++ b/reference/generated/dpnp.can_cast.html
@@ -13,7 +13,7 @@
     
     
   
-  dpnp.can_cast — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.can_cast — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
@@ -24,7 +24,7 @@
   
         
         
-        
+        
         
         
     
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-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               
          
 
          
   
diff --git a/reference/generated/dpnp.cbrt.html b/reference/generated/dpnp.cbrt.html
index c354db8775d..27e698cbbdf 100644
--- a/reference/generated/dpnp.cbrt.html
+++ b/reference/generated/dpnp.cbrt.html
@@ -13,7 +13,7 @@
     
     
   
-  dpnp.cbrt — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.cbrt — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
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+        
         
         
     
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-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               
          
 
          
   
diff --git a/reference/generated/dpnp.ceil.html b/reference/generated/dpnp.ceil.html
index 64cf9931daa..19da9f7bef7 100644
--- a/reference/generated/dpnp.ceil.html
+++ b/reference/generated/dpnp.ceil.html
@@ -13,7 +13,7 @@
     
     
   
-  dpnp.ceil — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.ceil — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
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diff --git a/reference/generated/dpnp.choose.html b/reference/generated/dpnp.choose.html
index 8b035d34a19..54490465c43 100644
--- a/reference/generated/dpnp.choose.html
+++ b/reference/generated/dpnp.choose.html
@@ -13,7 +13,7 @@
     
     
   
-  dpnp.choose — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.choose — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
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+                0.15.0dev1+51.ga079815177
               
          
 
          
   
diff --git a/reference/generated/dpnp.clip.html b/reference/generated/dpnp.clip.html
index 6336f2454db..54ecad0403a 100644
--- a/reference/generated/dpnp.clip.html
+++ b/reference/generated/dpnp.clip.html
@@ -13,7 +13,7 @@
     
     
   
-  dpnp.clip — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.clip — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
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-                0.15.0dev1+53.gca23a985e1
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diff --git a/reference/generated/dpnp.column_stack.html b/reference/generated/dpnp.column_stack.html
index 5fcd9d25ffe..fafccfaa166 100644
--- a/reference/generated/dpnp.column_stack.html
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@@ -13,7 +13,7 @@
     
     
   
-  dpnp.column_stack — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.column_stack — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
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-                0.15.0dev1+53.gca23a985e1
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diff --git a/reference/generated/dpnp.concatenate.html b/reference/generated/dpnp.concatenate.html
index 7272590ea07..697eec58486 100644
--- a/reference/generated/dpnp.concatenate.html
+++ b/reference/generated/dpnp.concatenate.html
@@ -13,7 +13,7 @@
     
     
   
-  dpnp.concatenate — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.concatenate — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
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-                0.15.0dev1+53.gca23a985e1
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diff --git a/reference/generated/dpnp.conj.html b/reference/generated/dpnp.conj.html
index 02f5e7baee9..d75531432e8 100644
--- a/reference/generated/dpnp.conj.html
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@@ -13,7 +13,7 @@
     
     
   
-  dpnp.conj — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.conj — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
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-                0.15.0dev1+53.gca23a985e1
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diff --git a/reference/generated/dpnp.conjugate.html b/reference/generated/dpnp.conjugate.html
index 0e7926e6248..2a7a5c690d7 100644
--- a/reference/generated/dpnp.conjugate.html
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@@ -13,7 +13,7 @@
     
     
   
-  dpnp.conjugate — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.conjugate — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
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-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               
          
 
          
   
diff --git a/reference/generated/dpnp.convolve.html b/reference/generated/dpnp.convolve.html
index ce5b494142a..5570f740292 100644
--- a/reference/generated/dpnp.convolve.html
+++ b/reference/generated/dpnp.convolve.html
@@ -13,7 +13,7 @@
     
     
   
-  dpnp.convolve — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.convolve — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
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             Data Parallel Extension for NumPy
           
               
          
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+                0.15.0dev1+51.ga079815177
               
          
 
          
   
diff --git a/reference/generated/dpnp.copy.html b/reference/generated/dpnp.copy.html
index fc87bf1b23c..de7e63c1859 100644
--- a/reference/generated/dpnp.copy.html
+++ b/reference/generated/dpnp.copy.html
@@ -13,7 +13,7 @@
     
     
   
-  dpnp.copy — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.copy — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
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             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
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diff --git a/reference/generated/dpnp.copysign.html b/reference/generated/dpnp.copysign.html
index 5efab5ff054..d21222dea8f 100644
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@@ -13,7 +13,7 @@
     
     
   
-  dpnp.copysign — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.copysign — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
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diff --git a/reference/generated/dpnp.copyto.html b/reference/generated/dpnp.copyto.html
index 9d24865790a..19d241f9243 100644
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@@ -13,7 +13,7 @@
     
     
   
-  dpnp.copyto — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.copyto — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
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             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               
          
 
          
   
diff --git a/reference/generated/dpnp.correlate.html b/reference/generated/dpnp.correlate.html
index 5278a89c742..b4c6773136d 100644
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@@ -13,7 +13,7 @@
     
     
   
-  dpnp.correlate — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.correlate — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
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             Data Parallel Extension for NumPy
           
               
          
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diff --git a/reference/generated/dpnp.cos.html b/reference/generated/dpnp.cos.html
index 9340335b7f0..45d95cc5b4e 100644
--- a/reference/generated/dpnp.cos.html
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@@ -13,7 +13,7 @@
     
     
   
-  dpnp.cos — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.cos — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
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             Data Parallel Extension for NumPy
           
               
          
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diff --git a/reference/generated/dpnp.cosh.html b/reference/generated/dpnp.cosh.html
index 37cd566ddec..9712c9ceefd 100644
--- a/reference/generated/dpnp.cosh.html
+++ b/reference/generated/dpnp.cosh.html
@@ -13,7 +13,7 @@
     
     
   
-  dpnp.cosh — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.cosh — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
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             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               
          
 
          
   
diff --git a/reference/generated/dpnp.count_nonzero.html b/reference/generated/dpnp.count_nonzero.html
index cc3e0ea4923..f17142cb0ff 100644
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+++ b/reference/generated/dpnp.count_nonzero.html
@@ -13,7 +13,7 @@
     
     
   
-  dpnp.count_nonzero — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.count_nonzero — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
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             Data Parallel Extension for NumPy
           
               
          
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+                0.15.0dev1+51.ga079815177
               
          
 
          
   
diff --git a/reference/generated/dpnp.cov.html b/reference/generated/dpnp.cov.html
index 9a18d309e5b..7fa4325bc20 100644
--- a/reference/generated/dpnp.cov.html
+++ b/reference/generated/dpnp.cov.html
@@ -13,7 +13,7 @@
     
     
   
-  dpnp.cov — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.cov — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
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             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               
          
 
          
   
diff --git a/reference/generated/dpnp.cross.html b/reference/generated/dpnp.cross.html
index 58256e00509..af87436b224 100644
--- a/reference/generated/dpnp.cross.html
+++ b/reference/generated/dpnp.cross.html
@@ -13,7 +13,7 @@
     
     
   
-  dpnp.cross — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.cross — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
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             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               
          
 
          
   
diff --git a/reference/generated/dpnp.cumprod.html b/reference/generated/dpnp.cumprod.html
index a6cbbeb2d82..bb2bd3ceb7e 100644
--- a/reference/generated/dpnp.cumprod.html
+++ b/reference/generated/dpnp.cumprod.html
@@ -13,7 +13,7 @@
     
     
   
-  dpnp.cumprod — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.cumprod — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
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             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               
          
 
          
   
@@ -134,24 +134,66 @@
 
          dpnp.cumprod
          
 
          
 
          
-dpnp.cumprod(x1, **kwargs)[source]
          
+dpnp.cumprod(a, axis=None, dtype=None, out=None)[source]
 
          Return the cumulative product of elements along a given axis.
          
 
          For full documentation refer to numpy.cumprod.
          
-
          Limitations
          
-
          Parameter x is supported as dpnp.ndarray.
-Keyword argument kwargs is currently unsupported.
-Otherwise the function will be executed sequentially on CPU.
-Input array data types are limited by supported DPNP Available array data types.
          
+
          
+
          Parameters:
          
+
            
+
          • a ({dpnp.ndarray, usm_ndarray}) -- Input array.
            • 
+
          • axis ({None, int}, optional) -- Axis along which the cumulative product is computed. It defaults to
+compute the cumulative product over the flattened array.
+Default: None.
            • 
+
          • dtype ({None, dtype}, optional) -- Type of the returned array and of the accumulator in which the elements
+are multiplied. If dtype is not specified, it defaults to the dtype
+of a, unless a has an integer dtype with a precision less than that
+of the default platform integer. In that case, the default platform
+integer is used.
+Default: None.
            • 
+
          • out ({None, dpnp.ndarray, usm_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 will
+be cast if necessary.
+Default: None.
            • 
+
          
+
          
+
          Returns:
          
+
          out -- A new array holding the result is returned unless out is specified as
+dpnp.ndarray, in which case a reference to out is returned.
+The result has the same size as a, and the same shape as a if axis
+is not None or a is a 1-d array.
          
+
          
+
          Return type:
          
+
          dpnp.ndarray
          
+
          
+
          
+
          
+
          See also
          
+
          
+
          dpnp.prod
          Product array elements.
          
+
          
+
          
+
          
 
          Examples
          
 
          >>> import dpnp as np
 >>> a = np.array([1, 2, 3])
->>> result = np.cumprod(a)
->>> [x for x in result]
-[1, 2, 6]
->>> b = np.array([[1, 2, 3], [4, 5, 6]])
->>> result = np.cumprod(b)
->>> [x for x in result]
-[1, 2, 6, 24, 120, 720]
+>>> np.cumprod(a) # intermediate results 1, 1*2
+...               # total product 1*2*3 = 6
+array([1, 2, 6])
+>>> a = np.array([[1, 2, 3], [4, 5, 6]])
+>>> np.cumprod(a, dtype=np.float32) # specify type of output
+array([  1.,   2.,   6.,  24., 120., 720.], dtype=float32)
+
          
+
          
+
          The cumulative product for each column (i.e., over the rows) of a:
          
+
          >>> np.cumprod(a, axis=0)
+array([[ 1,  2,  3],
+       [ 4, 10, 18]])
+
          
+
          
+
          The cumulative product for each row (i.e. over the columns) of a:
          
+
          >>> np.cumprod(a, axis=1)
+array([[  1,   2,   6],
+       [  4,  20, 120]])
 
          
 
          
 
          
diff --git a/reference/generated/dpnp.cumsum.html b/reference/generated/dpnp.cumsum.html
index 8d37625e8b3..ecee2aaa065 100644
--- a/reference/generated/dpnp.cumsum.html
+++ b/reference/generated/dpnp.cumsum.html
@@ -13,7 +13,7 @@
     
     
   
-  dpnp.cumsum — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.cumsum — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
@@ -24,7 +24,7 @@
   
         
         
-        
+        
         
         
     
@@ -46,7 +46,7 @@
             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               
          
 
          
   
diff --git a/reference/generated/dpnp.deg2rad.html b/reference/generated/dpnp.deg2rad.html
index 29273360845..3e8900138c2 100644
--- a/reference/generated/dpnp.deg2rad.html
+++ b/reference/generated/dpnp.deg2rad.html
@@ -13,7 +13,7 @@
     
     
   
-  dpnp.deg2rad — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.deg2rad — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
@@ -24,7 +24,7 @@
   
         
         
-        
+        
         
         
     
@@ -46,7 +46,7 @@
             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               
          
 
          
   
diff --git a/reference/generated/dpnp.degrees.html b/reference/generated/dpnp.degrees.html
index 2bf547d15eb..891c022ce50 100644
--- a/reference/generated/dpnp.degrees.html
+++ b/reference/generated/dpnp.degrees.html
@@ -13,7 +13,7 @@
     
     
   
-  dpnp.degrees — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.degrees — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
@@ -24,7 +24,7 @@
   
         
         
-        
+        
         
         
     
@@ -46,7 +46,7 @@
             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               
          
 
          
   
diff --git a/reference/generated/dpnp.diag.html b/reference/generated/dpnp.diag.html
index cc0e55fb3e6..3ae1bed71ea 100644
--- a/reference/generated/dpnp.diag.html
+++ b/reference/generated/dpnp.diag.html
@@ -13,7 +13,7 @@
     
     
   
-  dpnp.diag — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.diag — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
@@ -24,7 +24,7 @@
   
         
         
-        
+        
         
         
     
@@ -46,7 +46,7 @@
             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               
          
 
          
   
diff --git a/reference/generated/dpnp.diag_indices.html b/reference/generated/dpnp.diag_indices.html
index 38f3f431f90..fdc3056dfac 100644
--- a/reference/generated/dpnp.diag_indices.html
+++ b/reference/generated/dpnp.diag_indices.html
@@ -13,7 +13,7 @@
     
     
   
-  dpnp.diag_indices — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.diag_indices — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
@@ -24,7 +24,7 @@
   
         
         
-        
+        
         
         
     
@@ -46,7 +46,7 @@
             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               
          
 
          
   
diff --git a/reference/generated/dpnp.diag_indices_from.html b/reference/generated/dpnp.diag_indices_from.html
index b53d492e07f..e9957d9fd73 100644
--- a/reference/generated/dpnp.diag_indices_from.html
+++ b/reference/generated/dpnp.diag_indices_from.html
@@ -13,7 +13,7 @@
     
     
   
-  dpnp.diag_indices_from — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.diag_indices_from — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
@@ -24,7 +24,7 @@
   
         
         
-        
+        
         
         
     
@@ -46,7 +46,7 @@
             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               
          
 
          
   
diff --git a/reference/generated/dpnp.diagflat.html b/reference/generated/dpnp.diagflat.html
index 5e334b7f867..d2214b72279 100644
--- a/reference/generated/dpnp.diagflat.html
+++ b/reference/generated/dpnp.diagflat.html
@@ -13,7 +13,7 @@
     
     
   
-  dpnp.diagflat — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.diagflat — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
@@ -24,7 +24,7 @@
   
         
         
-        
+        
         
         
     
@@ -46,7 +46,7 @@
             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               
          
 
          
   
diff --git a/reference/generated/dpnp.diagonal.html b/reference/generated/dpnp.diagonal.html
index 10d1f0d1153..65b1caeb6bf 100644
--- a/reference/generated/dpnp.diagonal.html
+++ b/reference/generated/dpnp.diagonal.html
@@ -13,7 +13,7 @@
     
     
   
-  dpnp.diagonal — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.diagonal — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
@@ -24,7 +24,7 @@
   
         
         
-        
+        
         
         
     
@@ -46,7 +46,7 @@
             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               
          
 
          
   
diff --git a/reference/generated/dpnp.diff.html b/reference/generated/dpnp.diff.html
index a24032cf6bd..66d280b60a5 100644
--- a/reference/generated/dpnp.diff.html
+++ b/reference/generated/dpnp.diff.html
@@ -13,7 +13,7 @@
     
     
   
-  dpnp.diff — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.diff — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
@@ -24,7 +24,7 @@
   
         
         
-        
+        
         
         
     
@@ -46,7 +46,7 @@
             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               
          
 
          
   
diff --git a/reference/generated/dpnp.divide.html b/reference/generated/dpnp.divide.html
index ab670bda9cb..85d13648f08 100644
--- a/reference/generated/dpnp.divide.html
+++ b/reference/generated/dpnp.divide.html
@@ -13,7 +13,7 @@
     
     
   
-  dpnp.divide — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.divide — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
@@ -24,7 +24,7 @@
   
         
         
-        
+        
         
         
     
@@ -46,7 +46,7 @@
             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               
          
 
          
   
diff --git a/reference/generated/dpnp.dot.html b/reference/generated/dpnp.dot.html
index bc6f2ad8c9d..556c65351fd 100644
--- a/reference/generated/dpnp.dot.html
+++ b/reference/generated/dpnp.dot.html
@@ -13,7 +13,7 @@
     
     
   
-  dpnp.dot — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.dot — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
@@ -24,7 +24,7 @@
   
         
         
-        
+        
         
         
     
@@ -46,7 +46,7 @@
             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               
          
 
          
   
diff --git a/reference/generated/dpnp.dpnp_array.dpnp_array.html b/reference/generated/dpnp.dpnp_array.dpnp_array.html
index dbcaf39b71d..c5c127a1df2 100644
--- a/reference/generated/dpnp.dpnp_array.dpnp_array.html
+++ b/reference/generated/dpnp.dpnp_array.dpnp_array.html
@@ -13,7 +13,7 @@
     
     
   
-  dpnp.dpnp_array.dpnp_array — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.dpnp_array.dpnp_array — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
@@ -24,7 +24,7 @@
   
         
         
-        
+        
         
         
     
@@ -46,7 +46,7 @@
             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               
          
 
          
   
@@ -341,6 +341,13 @@ 
          dpnp.dpnp_array.dpnp_array
+
          
+cumprod(axis=None, dtype=None, out=None)[source]
          
+
          Return the cumulative product of the elements along the given axis.
          
+
          Refer to dpnp.cumprod for full documentation.
          
+
          
+
 
          
 
          
 cumsum(axis=None, dtype=None, out=None)[source]
          
diff --git a/reference/generated/dpnp.dstack.html b/reference/generated/dpnp.dstack.html
index a35070b5a9f..d23f4af1a9e 100644
--- a/reference/generated/dpnp.dstack.html
+++ b/reference/generated/dpnp.dstack.html
@@ -13,7 +13,7 @@
     
     
   
-  dpnp.dstack — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.dstack — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
@@ -24,7 +24,7 @@
   
         
         
-        
+        
         
         
     
@@ -46,7 +46,7 @@
             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               
          
 
          
   
diff --git a/reference/generated/dpnp.dtype.html b/reference/generated/dpnp.dtype.html
index b445d620ebd..5b8284dfe86 100644
--- a/reference/generated/dpnp.dtype.html
+++ b/reference/generated/dpnp.dtype.html
@@ -13,7 +13,7 @@
     
     
   
-  dpnp.dtype — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.dtype — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
@@ -24,7 +24,7 @@
   
         
         
-        
+        
         
         
     
@@ -46,7 +46,7 @@
             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               
          
 
          
   
diff --git a/reference/generated/dpnp.ediff1d.html b/reference/generated/dpnp.ediff1d.html
index 7f7db1e694f..4ddefb2a568 100644
--- a/reference/generated/dpnp.ediff1d.html
+++ b/reference/generated/dpnp.ediff1d.html
@@ -13,7 +13,7 @@
     
     
   
-  dpnp.ediff1d — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.ediff1d — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
@@ -24,7 +24,7 @@
   
         
         
-        
+        
         
         
     
@@ -46,7 +46,7 @@
             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               
          
 
          
   
diff --git a/reference/generated/dpnp.einsum.html b/reference/generated/dpnp.einsum.html
index 8252efcf9d2..144045032c5 100644
--- a/reference/generated/dpnp.einsum.html
+++ b/reference/generated/dpnp.einsum.html
@@ -13,7 +13,7 @@
     
     
   
-  dpnp.einsum — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.einsum — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
@@ -24,7 +24,7 @@
   
         
         
-        
+        
         
         
     
@@ -46,7 +46,7 @@
             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               
          
 
          
   
diff --git a/reference/generated/dpnp.einsum_path.html b/reference/generated/dpnp.einsum_path.html
index 02cc1b5c38e..13329f7c261 100644
--- a/reference/generated/dpnp.einsum_path.html
+++ b/reference/generated/dpnp.einsum_path.html
@@ -13,7 +13,7 @@
     
     
   
-  dpnp.einsum_path — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.einsum_path — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
@@ -24,7 +24,7 @@
   
         
         
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+        
         
         
     
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             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               
          
 
          
   
diff --git a/reference/generated/dpnp.empty.html b/reference/generated/dpnp.empty.html
index 277cc260e98..eb50ca8484b 100644
--- a/reference/generated/dpnp.empty.html
+++ b/reference/generated/dpnp.empty.html
@@ -13,7 +13,7 @@
     
     
   
-  dpnp.empty — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.empty — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
@@ -24,7 +24,7 @@
   
         
         
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+        
         
         
     
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             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               
          
 
          
   
diff --git a/reference/generated/dpnp.empty_like.html b/reference/generated/dpnp.empty_like.html
index 3fb38b4305f..9f791c7aa1e 100644
--- a/reference/generated/dpnp.empty_like.html
+++ b/reference/generated/dpnp.empty_like.html
@@ -13,7 +13,7 @@
     
     
   
-  dpnp.empty_like — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.empty_like — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
@@ -24,7 +24,7 @@
   
         
         
-        
+        
         
         
     
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             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               
          
 
          
   
diff --git a/reference/generated/dpnp.equal.html b/reference/generated/dpnp.equal.html
index 9f118c772dc..c95e0507607 100644
--- a/reference/generated/dpnp.equal.html
+++ b/reference/generated/dpnp.equal.html
@@ -13,7 +13,7 @@
     
     
   
-  dpnp.equal — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.equal — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
@@ -24,7 +24,7 @@
   
         
         
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+        
         
         
     
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             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               
          
 
          
   
diff --git a/reference/generated/dpnp.erf.html b/reference/generated/dpnp.erf.html
index 575d83b89d2..a52993dd7f3 100644
--- a/reference/generated/dpnp.erf.html
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@@ -13,7 +13,7 @@
     
     
   
-  dpnp.erf — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.erf — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
@@ -24,7 +24,7 @@
   
         
         
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+        
         
         
     
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             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               
          
 
          
   
diff --git a/reference/generated/dpnp.exp.html b/reference/generated/dpnp.exp.html
index 3bd21962f67..134ddb843a3 100644
--- a/reference/generated/dpnp.exp.html
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@@ -13,7 +13,7 @@
     
     
   
-  dpnp.exp — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.exp — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
@@ -24,7 +24,7 @@
   
         
         
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+        
         
         
     
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             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               
          
 
          
   
diff --git a/reference/generated/dpnp.exp2.html b/reference/generated/dpnp.exp2.html
index c28e3f58139..d1aa25342de 100644
--- a/reference/generated/dpnp.exp2.html
+++ b/reference/generated/dpnp.exp2.html
@@ -13,7 +13,7 @@
     
     
   
-  dpnp.exp2 — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.exp2 — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
@@ -24,7 +24,7 @@
   
         
         
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+        
         
         
     
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             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               
          
 
          
   
diff --git a/reference/generated/dpnp.expand_dims.html b/reference/generated/dpnp.expand_dims.html
index f99fed9c9bf..f4c9f01ecb6 100644
--- a/reference/generated/dpnp.expand_dims.html
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@@ -13,7 +13,7 @@
     
     
   
-  dpnp.expand_dims — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.expand_dims — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
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+        
         
         
     
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             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               
          
 
          
   
diff --git a/reference/generated/dpnp.expm1.html b/reference/generated/dpnp.expm1.html
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@@ -13,7 +13,7 @@
     
     
   
-  dpnp.expm1 — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.expm1 — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
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+        
         
         
     
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             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
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diff --git a/reference/generated/dpnp.extract.html b/reference/generated/dpnp.extract.html
index ac1f526cc0e..8e3af299ba4 100644
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@@ -13,7 +13,7 @@
     
     
   
-  dpnp.extract — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.extract — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
@@ -24,7 +24,7 @@
   
         
         
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+        
         
         
     
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             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               
          
 
          
   
diff --git a/reference/generated/dpnp.eye.html b/reference/generated/dpnp.eye.html
index eb0001f32ee..1fa2ceccc3b 100644
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@@ -13,7 +13,7 @@
     
     
   
-  dpnp.eye — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.eye — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
@@ -24,7 +24,7 @@
   
         
         
-        
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             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
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diff --git a/reference/generated/dpnp.fabs.html b/reference/generated/dpnp.fabs.html
index 4d95ceca793..09cf8efb9a5 100644
--- a/reference/generated/dpnp.fabs.html
+++ b/reference/generated/dpnp.fabs.html
@@ -13,7 +13,7 @@
     
     
   
-  dpnp.fabs — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.fabs — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
@@ -24,7 +24,7 @@
   
         
         
-        
+        
         
         
     
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             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               
          
 
          
   
@@ -146,7 +146,9 @@ 
          dpnp.nancumprod
 
          See also
          
 
          
-
          dpnp.cumprod
          Return the cumulative product of elements along a given axis.
          
+
          dpnp.cumprod
          Cumulative product across array propagating NaNs.
          
+
          
+
          dpnp.isnan
          Show which elements are NaN.
          
 
          
 
          
 
          
diff --git a/reference/generated/dpnp.nancumsum.html b/reference/generated/dpnp.nancumsum.html
index f4a9d4e1654..045d810004c 100644
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+++ b/reference/generated/dpnp.nancumsum.html
@@ -13,7 +13,7 @@
     
     
   
-  dpnp.nancumsum — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
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-                0.15.0dev1+53.gca23a985e1
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index f0ec47eba38..7fae2539175 100644
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@@ -13,7 +13,7 @@
     
     
   
-  dpnp.nanmax — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
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@@ -24,7 +24,7 @@
   
         
         
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-                0.15.0dev1+53.gca23a985e1
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diff --git a/reference/generated/dpnp.nanmean.html b/reference/generated/dpnp.nanmean.html
index 03876955743..48aa5439997 100644
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@@ -13,7 +13,7 @@
     
     
   
-  dpnp.nanmean — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
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             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
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index 93ef301da58..9f2440fa4d3 100644
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@@ -13,7 +13,7 @@
     
     
   
-  dpnp.nanmin — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
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-                0.15.0dev1+53.gca23a985e1
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index 32ea0db19e7..0a863c4f0ab 100644
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@@ -13,7 +13,7 @@
     
     
   
-  dpnp.nanprod — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
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@@ -24,7 +24,7 @@
   
         
         
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+        
         
         
     
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             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
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diff --git a/reference/generated/dpnp.nanstd.html b/reference/generated/dpnp.nanstd.html
index 981271269e1..086bef82254 100644
--- a/reference/generated/dpnp.nanstd.html
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@@ -13,7 +13,7 @@
     
     
   
-  dpnp.nanstd — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
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+        
         
         
     
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             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
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diff --git a/reference/generated/dpnp.nansum.html b/reference/generated/dpnp.nansum.html
index f98aa3428ff..55ab31883b6 100644
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@@ -13,7 +13,7 @@
     
     
   
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             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
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index 4b431ff5db5..4bf8de950db 100644
--- a/reference/generated/dpnp.nanvar.html
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@@ -13,7 +13,7 @@
     
     
   
-  dpnp.nanvar — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
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             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
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index 0e1657a2201..7e4746926b3 100644
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@@ -13,7 +13,7 @@
     
     
   
-  dpnp.ndarray.T — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
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             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
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index fa1efb22103..d508210b55c 100644
--- a/reference/generated/dpnp.ndarray.__abs__.html
+++ b/reference/generated/dpnp.ndarray.__abs__.html
@@ -13,7 +13,7 @@
     
     
   
-  dpnp.ndarray.__abs__ — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.ndarray.__abs__ — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
@@ -24,7 +24,7 @@
   
         
         
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             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
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diff --git a/reference/generated/dpnp.ndarray.__add__.html b/reference/generated/dpnp.ndarray.__add__.html
index ba4e8e8e355..704034da94b 100644
--- a/reference/generated/dpnp.ndarray.__add__.html
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@@ -13,7 +13,7 @@
     
     
   
-  dpnp.ndarray.__add__ — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
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             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
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diff --git a/reference/generated/dpnp.ndarray.__and__.html b/reference/generated/dpnp.ndarray.__and__.html
index dcd0c00fbe7..dee6a139258 100644
--- a/reference/generated/dpnp.ndarray.__and__.html
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@@ -13,7 +13,7 @@
     
     
   
-  dpnp.ndarray.__and__ — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
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diff --git a/reference/generated/dpnp.ndarray.__bool__.html b/reference/generated/dpnp.ndarray.__bool__.html
index ccda5c0d73d..278c4859e5a 100644
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@@ -13,7 +13,7 @@
     
     
   
-  dpnp.ndarray.__bool__ — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
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             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
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diff --git a/reference/generated/dpnp.ndarray.__complex__.html b/reference/generated/dpnp.ndarray.__complex__.html
index b6a2c4ccb05..3bfc2e51ca5 100644
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@@ -13,7 +13,7 @@
     
     
   
-  dpnp.ndarray.__complex__ — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  dpnp.ndarray.__complex__ — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
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diff --git a/reference/generated/dpnp.ndarray.__copy__.html b/reference/generated/dpnp.ndarray.__copy__.html
index 9e1bfa99978..de758eb00ef 100644
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@@ -13,7 +13,7 @@
     
     
   
-  dpnp.ndarray.__copy__ — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
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             Data Parallel Extension for NumPy
           
               
          
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diff --git a/reference/generated/dpnp.ndarray.__eq__.html b/reference/generated/dpnp.ndarray.__eq__.html
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@@ -13,7 +13,7 @@
     
     
   
-  dpnp.ndarray.__eq__ — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
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-  dpnp.ndarray.__float__ — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
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-  dpnp.ndarray.__floordiv__ — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
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-  dpnp.ndarray.__iadd__ — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
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-  dpnp.ndarray.__imul__ — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
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@@ -24,7 +24,7 @@
   
         
         
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             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
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             Data Parallel Extension for NumPy
           
               
          
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-  dpnp.ndarray.reshape — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
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             Data Parallel Extension for NumPy
           
               
          
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@@ -24,7 +24,7 @@
   
         
         
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@@ -46,7 +46,7 @@
             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
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@@ -88,6 +88,7 @@
 
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             Data Parallel Extension for NumPy
           
               
          
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@@ -24,7 +24,7 @@
   
         
         
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             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
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@@ -24,7 +24,7 @@
   
         
         
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             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
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             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
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-  dpnp.ndarray.squeeze — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
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@@ -24,7 +24,7 @@
   
         
         
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             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
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-  dpnp.ndarray.std — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
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@@ -24,7 +24,7 @@
   
         
         
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             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
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@@ -88,6 +88,7 @@
 
        • dpnp.ndarray.var
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-  dpnp.ndarray.strides — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
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@@ -24,7 +24,7 @@
   
         
         
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             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
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-  dpnp.ndarray.sum — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
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@@ -24,7 +24,7 @@
   
         
         
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             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
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@@ -88,6 +88,7 @@
 
        • dpnp.ndarray.var
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-  dpnp.ndarray.swapaxes — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
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             Data Parallel Extension for NumPy
           
               
          
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-  dpnp.ndarray.take — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
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@@ -24,7 +24,7 @@
   
         
         
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             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
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-  dpnp.ndarray.transpose — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
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@@ -24,7 +24,7 @@
   
         
         
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             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
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@@ -13,7 +13,7 @@
     
     
   
-  dpnp.ndarray.var — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
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@@ -24,7 +24,7 @@
   
         
         
-        
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@@ -46,7 +46,7 @@
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-                0.15.0dev1+53.gca23a985e1
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@@ -88,6 +88,7 @@
 
        • dpnp.ndarray.var
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+
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index 7f57bcecb5b..11bd95673e1 100644
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@@ -24,7 +24,7 @@
   
         
         
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@@ -46,7 +46,7 @@
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index 5c01d70a44b..de827a63778 100644
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@@ -13,7 +13,7 @@
     
     
   
-  dpnp.nonzero — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
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@@ -24,7 +24,7 @@
   
         
         
-        
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@@ -46,7 +46,7 @@
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-                0.15.0dev1+53.gca23a985e1
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index 1ff850bb50b..da78fae3917 100644
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@@ -24,7 +24,7 @@
   
         
         
-        
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@@ -46,7 +46,7 @@
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-                0.15.0dev1+53.gca23a985e1
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diff --git a/reference/generated/dpnp.ogrid.html b/reference/generated/dpnp.ogrid.html
index b8ad3774c5e..e424ce42866 100644
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@@ -13,7 +13,7 @@
     
     
   
-  dpnp.ogrid — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
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@@ -24,7 +24,7 @@
   
         
         
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@@ -46,7 +46,7 @@
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index cacd3dccd24..6fa416e1df1 100644
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@@ -13,7 +13,7 @@
     
     
   
-  dpnp.ones — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
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@@ -24,7 +24,7 @@
   
         
         
-        
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@@ -46,7 +46,7 @@
             Data Parallel Extension for NumPy
           
               
          
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-  dpnp.ones_like — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
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@@ -24,7 +24,7 @@
   
         
         
-        
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@@ -46,7 +46,7 @@
             Data Parallel Extension for NumPy
           
               
          
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-  dpnp.outer — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
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@@ -24,7 +24,7 @@
   
         
         
-        
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@@ -46,7 +46,7 @@
             Data Parallel Extension for NumPy
           
               
          
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index 39bedf4e096..e427002e219 100644
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-  dpnp.partition — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
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@@ -24,7 +24,7 @@
   
         
         
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@@ -46,7 +46,7 @@
             Data Parallel Extension for NumPy
           
               
          
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-  dpnp.place — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
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@@ -24,7 +24,7 @@
   
         
         
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@@ -46,7 +46,7 @@
             Data Parallel Extension for NumPy
           
               
          
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@@ -24,7 +24,7 @@
   
         
         
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@@ -46,7 +46,7 @@
             Data Parallel Extension for NumPy
           
               
          
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diff --git a/reference/generated/dpnp.power.html b/reference/generated/dpnp.power.html
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-  dpnp.power — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
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@@ -24,7 +24,7 @@
   
         
         
-        
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@@ -46,7 +46,7 @@
             Data Parallel Extension for NumPy
           
               
          
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diff --git a/reference/generated/dpnp.prod.html b/reference/generated/dpnp.prod.html
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-  dpnp.prod — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
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@@ -24,7 +24,7 @@
   
         
         
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@@ -46,7 +46,7 @@
             Data Parallel Extension for NumPy
           
               
          
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-  dpnp.proj — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
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@@ -24,7 +24,7 @@
   
         
         
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@@ -46,7 +46,7 @@
             Data Parallel Extension for NumPy
           
               
          
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@@ -24,7 +24,7 @@
   
         
         
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             Data Parallel Extension for NumPy
           
               
          
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diff --git a/reference/generated/dpnp.put.html b/reference/generated/dpnp.put.html
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-  dpnp.put — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
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@@ -24,7 +24,7 @@
   
         
         
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             Data Parallel Extension for NumPy
           
               
          
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@@ -24,7 +24,7 @@
   
         
         
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@@ -24,7 +24,7 @@
   
         
         
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             Data Parallel Extension for NumPy
           
               
          
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@@ -24,7 +24,7 @@
   
         
         
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             Data Parallel Extension for NumPy
           
               
          
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-  dpnp.random.RandomState — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
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@@ -24,7 +24,7 @@
   
         
         
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             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
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@@ -24,7 +24,7 @@
   
         
         
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             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
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@@ -24,7 +24,7 @@
   
         
         
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             Data Parallel Extension for NumPy
           
               
          
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@@ -24,7 +24,7 @@
   
         
         
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             Data Parallel Extension for NumPy
           
               
          
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             Data Parallel Extension for NumPy
           
               
          
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@@ -24,7 +24,7 @@
   
         
         
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@@ -24,7 +24,7 @@
   
         
         
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             Data Parallel Extension for NumPy
           
               
          
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-  dpnp.random.exponential — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
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@@ -24,7 +24,7 @@
   
         
         
-        
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@@ -46,7 +46,7 @@
             Data Parallel Extension for NumPy
           
               
          
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@@ -24,7 +24,7 @@
   
         
         
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             Data Parallel Extension for NumPy
           
               
          
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+++ b/reference/ufunc.html
@@ -13,7 +13,7 @@
     
     
   
-  Universal Functions (ufunc) — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  Universal Functions (ufunc) — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
@@ -24,7 +24,7 @@
   
         
         
-        
+        
         
         
     
@@ -46,7 +46,7 @@
             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               
          
 
          
   
diff --git a/search.html b/search.html
index 191ffa8fcf5..3db20c61216 100644
--- a/search.html
+++ b/search.html
@@ -12,7 +12,7 @@
     
     
   
-  Search — Data Parallel Extension for NumPy 0.15.0dev1+53.gca23a985e1 documentation
+  Search — Data Parallel Extension for NumPy 0.15.0dev1+51.ga079815177 documentation
       
       
 
@@ -24,7 +24,7 @@
   
         
         
-        
+        
         
         
     
@@ -46,7 +46,7 @@
             Data Parallel Extension for NumPy
           
               
          
-                0.15.0dev1+53.gca23a985e1
+                0.15.0dev1+51.ga079815177
               
          
 
          
   
diff --git a/searchindex.js b/searchindex.js
index 9abf47ccdef..f009dcdfd95 100644
--- a/searchindex.js
+++ b/searchindex.js
@@ -1 +1 @@
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"__len__": [83, 85], "__lt__": [83, 85, 120, 333], "__main__": 0, "__name__": 0, "__ne__": [83, 85, 120, 333], "__next__": 120, "__setitem__": [83, 120], "__sycl_usm_array_interface__": 37, "_dtypes_list": 0, "a1": 33, "a2": 33, "a_max": 56, "a_min": 56, "ab": [6, 12, 15], "abc": 87, "abcd": 88, "about": [36, 38, 83, 119, 165, 282, 447], "abov": [3, 75, 78, 148, 176, 194, 385, 422, 423, 426], "absolut": [6, 11, 15, 18, 99, 177, 216, 218, 326, 409, 434], "accept": [30, 87, 333, 404], "access": [76, 77, 118, 447], "accord": [44, 52, 85, 119, 165, 166, 167, 168, 194, 198, 213, 216, 218, 385, 390, 409, 434], "accordingli": [212, 214], "account": 388, "accumul": [72, 87, 142, 211, 215, 217, 325, 411], "accur": [85, 96, 186, 188], "achiev": 87, "across": [211, 215, 217], "activ": 4, "actual": [85, 142, 162, 173], "ad": [15, 85, 88, 95, 164, 177, 451], "add": [6, 85], "add_docstr": 6, "add_newdoc": 6, "add_newdoc_ufunc": 6, "addit": [162, 213], "address": 85, "advanc": 87, "advers": 87, "advis": 4, "affect": [20, 87, 142], "after": [84, 352, 392], "ag": 85, "against": [15, 28, 29, 50, 51, 56, 138, 174, 175, 196, 202, 208, 209, 215, 217, 325, 329, 411, 414], "ai": [3, 329, 414], "ai_max": 414, "ai_min": 414, "ainv": [169, 180], "algebra": [440, 451], "algorithm": [87, 88], "alia": [16, 17, 81, 119, 219, 333, 363, 366, 368, 395, 429, 436], "alias": 9, "align": 85, "all": [4, 6, 9, 15, 19, 33, 40, 44, 57, 68, 80, 83, 84, 85, 87, 88, 93, 94, 96, 98, 121, 122, 123, 130, 131, 133, 137, 143, 145, 162, 172, 175, 182, 193, 196, 202, 208, 209, 212, 214, 272, 275, 281, 294, 325, 335, 392, 395, 407, 411, 436, 447], "allclos": [6, 33, 151, 169, 175, 176, 178, 179, 181], "alloc": [3, 4, 20, 32, 34, 35, 36, 37, 38, 40, 44, 62, 75, 78, 83, 89, 90, 98, 130, 131, 132, 133, 134, 135, 136, 137, 145, 148, 182, 183, 193, 194, 198, 201, 213, 216, 218, 272, 317, 318, 319, 333, 355, 360, 361, 362, 363, 364, 365, 366, 368, 374, 377, 385, 407, 409, 422, 433, 434, 438, 439], "allow": [40, 83, 87, 142, 272, 300, 447], "alltru": 6, "almost": 165, "along": [3, 4, 14, 16, 17, 19, 28, 29, 30, 44, 57, 58, 68, 71, 72, 75, 78, 80, 83, 84, 86, 121, 122, 123, 126, 127, 132, 137, 139, 143, 148, 174, 176, 180, 181, 182, 193, 194, 196, 197, 198, 199, 200, 202, 203, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 269, 270, 271, 278, 288, 290, 295, 296, 307, 309, 311, 313, 325, 327, 328, 329, 385, 387, 392, 393, 395, 404, 408, 409, 411, 413, 414, 417, 418, 419, 421, 424, 427, 434, 436, 447], "alpha": [334, 339, 340, 356, 359], "alreadi": [4, 35, 41, 42, 43], "also": [3, 13, 18, 20, 26, 46, 48, 49, 63, 81, 85, 87, 91, 95, 125, 132, 134, 140, 141, 142, 144, 159, 160, 161, 162, 188, 197, 203, 206, 207, 315, 316, 324, 371, 386, 390, 410, 429, 447], "altern": [3, 4, 72, 82, 83, 195, 196, 198, 202, 211, 213, 215, 216, 217, 218, 312, 325, 409, 411, 434], "although": [18, 85, 418], "alwai": [4, 30, 34, 40, 83, 166, 168, 216, 218, 272, 315, 388, 409, 434], "amax": [6, 196], "ambigu": 447, "amin": [6, 202], "an": [0, 3, 4, 11, 12, 13, 14, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 53, 54, 55, 56, 57, 58, 59, 60, 62, 63, 66, 67, 72, 75, 76, 77, 78, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 93, 94, 95, 96, 97, 98, 118, 119, 121, 122, 124, 125, 126, 127, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 152, 153, 154, 159, 160, 161, 164, 167, 170, 172, 173, 174, 176, 177, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 196, 197, 198, 201, 202, 203, 205, 206, 207, 208, 209, 211, 212, 213, 214, 215, 216, 217, 218, 226, 271, 273, 274, 277, 286, 288, 294, 296, 299, 300, 303, 305, 306, 310, 311, 312, 314, 315, 316, 317, 318, 319, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 333, 335, 340, 341, 343, 352, 355, 360, 361, 362, 363, 364, 365, 366, 368, 369, 374, 377, 381, 382, 383, 384, 385, 386, 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85, "appropri": [4, 28, 29, 138, 181, 208, 209, 212, 214, 333, 361, 364, 447], "approxim": 119, "ar": [3, 4, 11, 12, 13, 14, 15, 19, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 33, 40, 41, 42, 43, 44, 46, 47, 48, 49, 50, 53, 54, 56, 57, 58, 59, 60, 63, 64, 65, 66, 67, 68, 69, 71, 72, 74, 79, 80, 81, 82, 83, 85, 86, 87, 88, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 117, 121, 122, 123, 124, 125, 126, 127, 128, 132, 137, 139, 140, 141, 142, 144, 149, 150, 151, 152, 153, 154, 159, 160, 161, 162, 165, 166, 167, 168, 170, 171, 172, 173, 174, 175, 179, 180, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 202, 203, 204, 205, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 272, 293, 294, 314, 315, 316, 320, 321, 322, 323, 324, 325, 326, 328, 329, 330, 332, 333, 334, 335, 337, 340, 341, 342, 343, 344, 345, 346, 347, 348, 350, 351, 352, 355, 356, 358, 359, 361, 364, 365, 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30, 447], "argsort": [6, 83, 397, 404, 414, 420, 447], "argument": [0, 11, 12, 13, 15, 18, 20, 21, 22, 23, 24, 25, 26, 27, 46, 47, 48, 49, 52, 53, 54, 56, 58, 63, 66, 67, 71, 81, 82, 83, 85, 86, 88, 92, 93, 94, 96, 99, 124, 125, 126, 127, 128, 139, 144, 147, 150, 156, 157, 159, 173, 174, 185, 186, 187, 188, 195, 197, 203, 204, 205, 207, 210, 300, 312, 314, 323, 324, 326, 384, 386, 389, 390, 391, 396, 400, 401, 402, 403, 408, 410, 415, 416, 417, 421, 429, 430, 447], "argwher": 6, "ari": [41, 42, 43], "arithmet": [44, 137, 198, 199, 213, 216, 218, 323, 409, 411, 434, 440, 451], "around": [6, 83, 137, 328, 394], "arr": [85, 330, 357, 425, 428], "arr2": 85, "arr_t": [40, 83, 272], "arra": 437, "arrai": [0, 2, 3, 4, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 101, 103, 107, 108, 112, 113, 115, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 220, 226, 269, 270, 271, 272, 273, 274, 277, 280, 281, 282, 284, 285, 286, 287, 289, 291, 292, 294, 296, 297, 298, 299, 300, 301, 303, 304, 305, 306, 307, 308, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 332, 333, 334, 335, 337, 338, 340, 341, 342, 343, 344, 345, 346, 347, 348, 352, 355, 356, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 451], "array2str": 6, "array_equ": 6, "array_equiv": [6, 33], "array_lik": [32, 34, 35, 36, 37, 38, 39, 44, 62, 64, 75, 78, 135, 136, 137, 182, 193, 329, 333, 399, 417, 425, 428, 433], "array_repr": 6, "array_split": [6, 58], "array_str": 6, "arrays_and_dtyp": 389, "asanyarrai": [6, 35, 38], "asarrai": [4, 6, 34, 36, 38, 39], "asarray_chkfinit": [6, 34, 35], "ascend": [166, 168, 397], "ascii": 85, "ascontiguousarrai": [6, 34, 35, 38], "asfarrai": [6, 34, 35], "asfortranarrai": [6, 34, 35, 36], "asmatrix": 6, "asnumpi": 83, "aspect": 85, "assembl": [58, 84, 143, 395, 408, 436], "assign": [83, 281], "associ": [44, 142, 447], "assum": [44, 88, 172, 175, 179], "astyp": [6, 83, 137, 315], "atleast_1d": [6, 42, 43, 95], "atleast_2d": [6, 41, 43, 95], "atleast_3d": [6, 41, 42, 95], "atol": [15, 151], "attain": 0, "attempt": [82, 173], "attribut": [83, 85, 90, 119, 136, 146, 176, 319, 439, 440], "automat": 142, "avail": [2, 3, 4, 14, 15, 19, 65, 68, 69, 71, 74, 85, 86, 92, 99, 128, 139, 151, 199, 204, 205, 208, 209, 210, 212, 214, 215, 320, 332, 421, 432, 440, 447], "averag": [6, 83, 198, 213, 289, 411, 451], "avg": 44, "avoid": [42, 43], "aweight": 69, "ax": [28, 29, 44, 80, 82, 83, 87, 95, 101, 103, 104, 107, 108, 109, 112, 113, 115, 117, 121, 149, 174, 178, 180, 181, 194, 195, 196, 198, 202, 206, 208, 209, 212, 213, 214, 215, 216, 217, 218, 303, 310, 312, 325, 385, 392, 393, 407, 409, 411, 412, 417, 418, 420, 434], "axi": [14, 16, 17, 19, 28, 29, 30, 44, 57, 58, 68, 70, 71, 72, 80, 83, 84, 86, 87, 95, 100, 105, 106, 110, 111, 114, 121, 122, 123, 126, 127, 132, 137, 139, 143, 148, 170, 174, 182, 193, 194, 195, 196, 197, 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447, 451], "batch": [101, 103, 107, 108, 112, 113, 115, 117], "bc": [164, 177], "bcde": 88, "becaus": [14, 19, 447], "becom": [83, 142, 312], "been": [84, 329, 393, 414], "befor": [4, 30, 58, 83, 122, 123, 181, 194, 196, 202, 216, 218, 294, 305, 325, 385, 392, 393, 404, 409, 411, 418, 434, 435], "begin": [88, 137, 182, 193], "behav": 183, "behavior": [83, 277, 418], "behind": [83, 294], "being": [3, 85], "belong": 142, "below": [0, 4, 9, 75, 78, 85, 172, 422, 423, 426, 447], "best": 88, "beta": [6, 344], "between": [15, 20, 52, 80, 86, 119, 131, 134, 149, 182, 193, 350, 364, 410, 432], "beyond": [4, 392], "bia": 69, "big": 85, "bin": [142, 371], "bin_edg": 142, "binari": [46, 48, 49, 130, 131, 133, 134, 440, 451], "binary_repr": 6, "bincount": [6, 142], "binomi": [6, 352], "bit": [46, 47, 48, 49, 85, 119, 146, 150, 159, 189, 191, 192, 215, 217, 390, 401, 451], "bitwis": [46, 48, 49], "bitwise_and": [6, 47, 48, 49, 150, 189], "bitwise_not": 6, "bitwise_or": [6, 46, 47, 49, 150, 191], "bitwise_xor": [6, 46, 47, 48, 150, 192], "biufcmmosuv": 85, "blackman": 6, "block": [6, 58, 84, 143, 158, 395, 408, 436], "bmat": 6, "bool": [9, 14, 19, 28, 29, 32, 37, 40, 44, 52, 64, 83, 85, 88, 91, 100, 106, 114, 137, 140, 141, 142, 152, 153, 154, 160, 161, 162, 172, 174, 175, 179, 182, 193, 194, 196, 198, 200, 202, 208, 209, 212, 213, 214, 215, 216, 217, 218, 272, 315, 316, 325, 385, 388, 401, 409, 411, 433, 434, 447], "bool_": 9, "boolean": [46, 47, 48, 49, 64, 85, 148, 150, 151, 152, 153, 154, 189, 191, 194, 198, 213, 215, 216, 218, 315, 385, 388, 409, 413, 434], "both": [15, 44, 56, 70, 82, 126, 127, 128, 149, 158, 174, 195, 204, 217, 320, 417, 435, 437], "bound": [397, 413], "boundari": 328, "briefli": 447, "broadcast": [13, 28, 29, 44, 50, 51, 56, 64, 81, 87, 126, 127, 144, 174, 175, 192, 194, 195, 196, 197, 198, 202, 203, 207, 208, 209, 213, 215, 216, 217, 218, 324, 325, 328, 329, 385, 387, 409, 410, 411, 414, 418, 429, 434, 437], "broadcast_arrai": [6, 51], "broadcast_shap": 6, "broadcast_to": [6, 50, 418], "buffer": [37, 72, 83, 130, 131, 133, 134, 183, 196, 202, 211, 388], "buffer_lik": 130, "build": 451, "build_loc": 4, "built": 85, "busday_count": 6, "busday_offset": 6, "byte": [6, 40, 83, 85, 87, 130, 131, 183, 272, 287, 291], "byte_bound": 6, "byteord": 85, "byteswap": 6, "bz2": 183, "c": [2, 4, 11, 12, 13, 18, 21, 22, 23, 24, 25, 26, 27, 32, 34, 35, 36, 38, 39, 40, 46, 47, 48, 49, 53, 54, 56, 59, 60, 62, 63, 66, 67, 70, 81, 82, 83, 85, 87, 88, 89, 90, 91, 93, 94, 96, 98, 124, 125, 135, 136, 138, 140, 141, 144, 147, 149, 150, 152, 153, 154, 158, 159, 160, 161, 164, 170, 173, 174, 177, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 195, 197, 203, 207, 272, 277, 284, 297, 314, 315, 316, 318, 319, 323, 324, 326, 382, 384, 386, 388, 390, 391, 396, 400, 401, 402, 403, 405, 406, 410, 415, 416, 417, 418, 429, 430, 437, 438, 439], "c_contigu": [36, 38, 83, 277], "ca": 61, "calcul": [11, 12, 13, 18, 26, 44, 72, 80, 81, 86, 87, 91, 93, 94, 96, 99, 124, 125, 126, 127, 139, 142, 144, 165, 166, 167, 168, 170, 175, 186, 188, 194, 195, 198, 204, 207, 213, 216, 218, 316, 324, 325, 385, 386, 409, 410, 429, 434, 435, 440], "call": [18, 28, 29, 30, 36, 38, 85, 132, 165, 167, 173, 226, 315, 407, 418], "callabl": 132, "can": [0, 3, 4, 13, 15, 20, 30, 32, 34, 35, 36, 37, 38, 39, 40, 44, 46, 47, 48, 49, 52, 62, 70, 75, 76, 78, 81, 82, 83, 85, 87, 88, 89, 90, 91, 98, 125, 126, 127, 128, 130, 131, 132, 133, 134, 135, 136, 137, 140, 141, 143, 145, 148, 149, 150, 158, 159, 160, 161, 162, 169, 170, 171, 181, 182, 183, 189, 191, 193, 195, 201, 204, 207, 215, 217, 272, 305, 314, 315, 316, 317, 318, 319, 320, 323, 324, 329, 333, 355, 360, 361, 362, 363, 364, 365, 366, 368, 369, 374, 377, 386, 388, 390, 404, 410, 413, 414, 417, 422, 427, 429, 433, 435, 437, 438, 439, 447], "can_cast": [6, 451], "cannot": [58, 83, 208, 209, 303, 407, 408], "capabl": [20, 32, 34, 35, 36, 38, 44, 137, 182, 193, 195], "care": [20, 165], "cartesian": 200, "case": [4, 20, 28, 29, 32, 34, 35, 36, 38, 44, 62, 72, 75, 78, 80, 88, 89, 90, 98, 130, 131, 132, 133, 135, 136, 137, 145, 165, 176, 179, 182, 183, 193, 201, 211, 215, 217, 317, 318, 319, 325, 388, 411, 417, 422, 433, 438, 439, 447], "cast": [40, 52, 58, 64, 72, 83, 87, 143, 165, 194, 195, 198, 211, 213, 215, 216, 217, 218, 272, 325, 385, 395, 408, 409, 411, 434, 436], "cat": [335, 352], "cauchi": 371, "cbrt": [6, 405], "cdef": 88, "cdot": 417, "cdoubl": 9, "ceil": [6, 31, 124, 125, 391, 394, 430], "center": [104, 109], "central": [353, 354], "certain": 85, "cfloat": 9, "chain": [82, 83, 87, 88], "chang": [40, 62, 70, 83, 85, 87, 211, 272, 308, 312, 314, 322, 323, 328, 329, 330, 382, 388, 393, 432, 451], "channel": 4, "char": 85, "charact": [85, 131], "check": [34, 35, 52, 162, 175, 178], "check_valid": 351, "chi": [337, 353], "chisquar": 6, "choic": [6, 55, 83, 166, 168, 273], "choicelist": 398, "choleski": 6, "choos": [6, 18, 25, 83, 88, 437, 447], "chosen": [142, 437], "circl": 177, "clamp": [328, 413], "class": [3, 83, 85, 86, 120, 130, 131, 132, 134, 148, 183, 333, 361, 422, 451], "classic": 87, "clear": [85, 447], "clip": [6, 83, 328, 413, 447], "close": [21, 22, 23, 25, 39, 40, 83, 87, 95, 182, 272, 333, 361, 391, 394], "closer": 430, "cloud": 3, "cmake": 4, "co": [6, 21, 67, 167, 402, 415], "code": [37, 85, 156], "coeffici": [170, 178, 181], "coerc": [37, 130, 131, 132, 133, 134, 183], "coin": 335, "col": 148, "collaps": [83, 284], "column": [6, 34, 35, 36, 38, 39, 40, 57, 58, 72, 83, 84, 98, 122, 123, 143, 145, 165, 166, 170, 173, 176, 179, 272, 284, 382, 395, 408, 422, 424, 427, 433, 436], "column_stack": [6, 58, 84, 143, 395, 408, 436], "combin": [0, 85, 95], "combinatori": 88, "comma": [85, 87], "command": 4, "common": [315, 417], "common_typ": 6, "compani": [335, 352], "compar": [15, 91, 197, 203], "compare_chararrai": 6, "comparison": [2, 91, 140, 141, 160, 161, 316, 440, 451], "compat": [3, 40, 44, 83, 194, 198, 212, 213, 214, 216, 218, 272, 385, 388, 409, 434, 451], "compil": [4, 85, 138], "complement": 432, "complementari": [125, 128, 204], "complet": [3, 4, 88, 131, 132, 176, 393, 447], "complex": [9, 11, 12, 18, 25, 26, 52, 82, 83, 85, 88, 92, 119, 147, 165, 166, 167, 168, 176, 177, 179, 194, 195, 216, 218, 275, 276, 326, 383, 385, 409, 434, 435, 447, 451], "complex128": [9, 44, 100, 101, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 117, 389], "complex64": [9, 44, 100, 106], "compliant": 83, "complic": 87, "compon": [104, 109, 119, 147, 383], "compos": 63, "composit": [158, 411, 421], "compress": [6, 413, 447], "comput": [4, 18, 21, 22, 23, 24, 25, 26, 27, 31, 44, 46, 47, 48, 49, 53, 59, 60, 66, 67, 72, 80, 87, 93, 94, 95, 96, 99, 100, 101, 102, 103, 105, 106, 107, 108, 110, 111, 112, 113, 114, 115, 116, 117, 124, 140, 141, 142, 147, 148, 150, 158, 160, 161, 163, 164, 165, 166, 167, 168, 169, 173, 174, 175, 176, 177, 179, 180, 181, 184, 185, 186, 187, 189, 190, 191, 192, 194, 195, 198, 199, 204, 211, 212, 213, 214, 215, 216, 217, 218, 314, 323, 326, 383, 384, 385, 386, 391, 394, 396, 400, 401, 402, 403, 405, 409, 411, 415, 416, 417, 434], "compute_uv": [163, 179], "concaten": [6, 57, 84, 143, 395, 408, 414, 436], "concept": [20, 32, 34, 35, 36, 37, 38, 62, 75, 78, 89, 90, 98, 130, 131, 132, 133, 134, 135, 136, 137, 145, 148, 182, 183, 193, 201, 317, 318, 319, 333, 355, 360, 361, 362, 363, 364, 365, 366, 368, 369, 374, 377, 422, 433, 438, 439, 447], "cond": [6, 169], "condit": [40, 82, 83, 97, 163, 169, 173, 272, 315, 322, 328, 330, 398, 437], "condlist": 398, "conj": [6, 60, 83, 147, 162, 165, 326], "conjug": [6, 59, 82, 83, 147, 162, 165, 166, 167, 168, 195, 275, 326, 435], "consecut": [80, 86], "conserv": 200, "consid": [20, 32, 34, 35, 36, 38, 88, 137, 152, 166, 168, 172, 182, 193, 195, 333, 361], "consist": [33, 131, 181, 182, 414, 417], "constant": [9, 85], "constraint": 44, "construct": [34, 35, 55, 75, 78, 83, 85, 130, 131, 132, 133, 134, 183, 201, 273, 317, 387, 418, 437, 440], "constructor": 447, "consum": [83, 291], "contain": [11, 12, 13, 14, 15, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 46, 47, 48, 49, 53, 54, 56, 59, 60, 63, 64, 66, 67, 70, 81, 83, 85, 91, 93, 94, 96, 124, 125, 129, 134, 138, 140, 141, 142, 144, 147, 148, 150, 159, 160, 161, 166, 176, 179, 184, 185, 186, 187, 188, 189, 190, 191, 192, 194, 197, 198, 203, 207, 208, 209, 212, 213, 214, 216, 218, 300, 314, 315, 316, 323, 324, 326, 333, 383, 384, 385, 386, 390, 391, 394, 396, 400, 401, 402, 403, 405, 406, 409, 410, 415, 416, 420, 424, 427, 429, 430, 434, 447], "content": [36, 83, 370], "contigu": [34, 35, 36, 38, 82, 83, 87, 173, 284, 297, 382, 388], "continu": [333, 365], "contourf": 200, "contract": [87, 88, 417], "contrast": 328, "contribut": [44, 142], "control": [4, 40, 52, 58, 64, 83, 87, 143, 195, 272, 395, 408, 436], "conveni": [83, 312, 333], "convent": [82, 87, 88, 149, 181, 195, 320, 417], "convers": [40, 83, 87, 272, 440], "convert": [28, 29, 32, 34, 35, 36, 37, 38, 39, 41, 42, 43, 62, 73, 74, 75, 78, 85, 88, 95, 135, 136, 137, 182, 193, 331, 332, 432, 433], "convolut": [61, 65], "convolv": [6, 65], "coordin": [68, 132, 200], "copi": [6, 20, 30, 32, 34, 35, 36, 37, 38, 40, 41, 42, 43, 64, 75, 78, 83, 85, 89, 90, 98, 130, 131, 132, 133, 134, 135, 136, 137, 145, 148, 182, 183, 193, 200, 201, 226, 272, 284, 286, 294, 300, 303, 317, 318, 319, 321, 323, 333, 355, 360, 361, 362, 363, 364, 365, 366, 368, 374, 377, 388, 397, 404, 407, 422, 423, 426, 433, 438, 439, 447], "copysign": [6, 314, 323], "copyto": [6, 83, 277], "core": [3, 85, 87, 447], "corrcoef": [6, 69], "correct": [11, 12, 13, 18, 21, 22, 23, 24, 25, 26, 27, 31, 46, 47, 48, 49, 53, 54, 58, 59, 60, 63, 66, 67, 81, 91, 93, 94, 96, 124, 125, 140, 141, 144, 147, 150, 152, 153, 154, 159, 160, 161, 178, 184, 185, 186, 187, 188, 189, 190, 191, 192, 197, 203, 207, 314, 316, 323, 324, 326, 384, 386, 390, 391, 394, 396, 400, 401, 402, 403, 405, 406, 408, 410, 415, 416, 429, 430], "correctli": [18, 25, 28, 29, 174, 196, 202, 208, 209, 215, 217, 315, 325, 411], "correl": [6, 451], "correspond": [6, 20, 28, 29, 32, 34, 35, 36, 37, 38, 56, 58, 62, 75, 78, 83, 89, 90, 98, 130, 131, 132, 133, 134, 135, 136, 137, 145, 148, 165, 166, 182, 183, 193, 195, 201, 280, 317, 318, 319, 333, 355, 360, 361, 362, 363, 364, 365, 366, 368, 369, 374, 377, 392, 399, 409, 417, 420, 422, 433, 434, 438, 439, 447], "cosh": [6, 22, 66, 403, 416], "cosin": [21, 22, 23, 24, 25, 26, 27, 66, 67, 402, 403, 415, 416], "cost": [87, 88], "costli": 88, "could": [83, 305], "count": [45, 68, 85, 88, 121, 130, 131, 133, 134, 142, 315, 325, 335, 411, 440, 451], "count_nonzero": [6, 315], "counterpart": 447, "cov": [6, 351], "covari": 69, "cover": 451, "cpu": [4, 14, 15, 19, 20, 32, 34, 35, 36, 38, 62, 65, 69, 71, 75, 78, 79, 86, 89, 90, 92, 97, 98, 99, 100, 101, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 117, 126, 127, 128, 130, 131, 132, 133, 135, 136, 137, 139, 145, 151, 182, 183, 193, 199, 201, 204, 205, 210, 215, 317, 318, 319, 320, 322, 328, 413, 421, 422, 433, 438, 439], "creat": [3, 4, 20, 32, 34, 35, 36, 37, 38, 62, 75, 76, 78, 83, 85, 88, 89, 90, 98, 129, 130, 131, 132, 133, 134, 135, 136, 137, 145, 148, 182, 183, 193, 201, 277, 317, 318, 319, 329, 333, 355, 360, 361, 362, 363, 364, 365, 366, 368, 369, 374, 377, 422, 433, 438, 439, 447, 451], "creation": [85, 88, 440, 447, 451], "cross": [6, 65], "csingl": 9, "cube": [53, 405], "cubic": 88, "cumprod": [6, 210, 447], "cumproduct": 6, "cumsum": [6, 80, 83, 211, 411, 447], "cumul": [71, 72, 80, 83, 210, 211, 278, 411], "cupi": [2, 440], "current": [11, 12, 13, 15, 21, 22, 23, 24, 25, 26, 27, 46, 47, 48, 49, 53, 54, 56, 63, 66, 67, 71, 81, 85, 86, 88, 93, 94, 96, 99, 124, 125, 126, 127, 128, 131, 139, 144, 145, 150, 159, 185, 186, 187, 188, 197, 203, 204, 205, 207, 210, 314, 323, 324, 326, 384, 386, 390, 391, 396, 400, 401, 402, 403, 410, 415, 416, 421, 429, 430], "custom": 447, "cut": 170, "cutoff": 175, "cyclic": 328, "cython": 4, "d": [0, 20, 44, 57, 58, 72, 75, 76, 78, 82, 84, 85, 98, 101, 102, 103, 107, 108, 112, 113, 115, 116, 117, 122, 123, 134, 143, 145, 149, 164, 166, 167, 173, 174, 177, 195, 200, 211, 217, 315, 324, 325, 328, 338, 382, 388, 395, 397, 399, 408, 411, 413, 417, 418, 433, 436, 447], "d0": [333, 360, 362], "d1": [333, 362], "d3": 76, "data": [1, 3, 4, 11, 12, 13, 14, 15, 18, 19, 21, 22, 23, 24, 25, 26, 27, 30, 31, 32, 34, 35, 36, 37, 38, 39, 40, 44, 46, 47, 48, 49, 51, 52, 53, 54, 58, 59, 60, 62, 63, 64, 65, 66, 67, 68, 69, 71, 74, 75, 78, 81, 82, 83, 85, 86, 87, 89, 90, 91, 92, 93, 94, 96, 98, 99, 100, 101, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 117, 119, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 150, 151, 152, 153, 154, 159, 160, 161, 170, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 197, 198, 199, 203, 204, 205, 207, 208, 209, 210, 212, 213, 214, 215, 216, 218, 272, 300, 312, 314, 316, 318, 319, 320, 323, 324, 326, 328, 329, 332, 333, 334, 335, 337, 340, 341, 342, 343, 344, 345, 346, 347, 348, 352, 355, 356, 358, 359, 360, 361, 362, 363, 365, 366, 367, 368, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 388, 390, 391, 392, 393, 394, 395, 396, 397, 400, 401, 402, 403, 405, 406, 407, 408, 409, 410, 413, 414, 415, 416, 421, 422, 429, 430, 432, 434, 436, 437, 438, 439, 440, 451], "datatyp": [85, 172], "date": 4, "datetim": 85, "datetime_as_str": 6, "datetime_data": 6, "dcmake_c_compil": 4, "dcmake_cxx_compil": 4, "ddof": [69, 83, 216, 218, 307, 313, 409, 434], "decai": 346, "decim": [31, 83, 119, 301, 391, 394], "decomposit": [162, 169, 172, 175, 179, 451], "decompress": 183, "def": 0, "default": [3, 11, 12, 13, 14, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 40, 44, 46, 47, 48, 49, 50, 51, 53, 54, 56, 58, 59, 60, 62, 63, 65, 66, 67, 69, 70, 72, 75, 78, 79, 80, 81, 83, 85, 86, 87, 88, 89, 90, 91, 93, 94, 96, 98, 100, 106, 118, 121, 124, 125, 126, 127, 128, 130, 131, 132, 133, 134, 135, 136, 137, 140, 141, 142, 143, 144, 145, 147, 148, 150, 152, 153, 154, 159, 160, 161, 162, 163, 166, 168, 170, 172, 174, 175, 176, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 207, 208, 209, 211, 212, 213, 214, 215, 216, 217, 218, 272, 277, 284, 314, 316, 317, 318, 319, 321, 323, 324, 325, 326, 328, 333, 337, 355, 360, 361, 362, 363, 364, 365, 366, 368, 369, 371, 372, 374, 377, 382, 384, 385, 386, 387, 388, 390, 391, 392, 393, 394, 395, 396, 397, 398, 400, 401, 402, 403, 404, 405, 406, 408, 409, 410, 411, 413, 415, 416, 417, 419, 420, 422, 423, 424, 426, 427, 429, 430, 433, 434, 436, 437, 438, 439, 447], "default_rng": 6, "defg": 88, "defici": 172, "defin": [70, 85, 90, 136, 142, 319, 323, 439, 447], "definit": [70, 124, 162], "deg": [18, 332], "deg2rad": [6, 331, 332, 432], "degre": [6, 18, 73, 216, 218, 331, 332, 375, 409, 432, 434], "delet": 6, "delta": [216, 218, 409, 432, 434], "demonstr": [0, 4, 85], "dens": [148, 201], "densiti": 142, "depend": [4, 166, 170, 176, 178, 179, 182, 215, 217, 398, 437], "deprec": 6, "deprecate_with_doc": 6, "depth": [57, 58, 84, 143, 395, 408, 436], "descend": 179, "descr": 85, "describ": [85, 194, 385, 451], "descript": [85, 142, 194, 385, 447], "desir": [20, 32, 34, 35, 36, 38, 39, 51, 89, 90, 98, 135, 136, 137, 145, 182, 193, 318, 319, 418, 422, 438, 439], "destin": [58, 143, 206, 328, 329, 395, 408, 414, 436], "det": [6, 177], "detail": [31, 129, 394, 424, 425, 427, 428, 447], "determin": [13, 18, 21, 22, 23, 24, 25, 26, 27, 46, 48, 49, 53, 63, 66, 67, 81, 93, 94, 96, 125, 131, 132, 134, 144, 157, 159, 164, 170, 176, 177, 184, 185, 186, 187, 188, 195, 197, 203, 207, 324, 384, 386, 390, 396, 400, 402, 403, 405, 406, 410, 415, 416, 429, 430], "devel": 4, "develop": [3, 4], "deviat": [83, 198, 213, 216, 218, 307, 333, 348, 355, 409, 434], "devic": [0, 2, 3, 20, 32, 34, 35, 36, 37, 38, 44, 62, 75, 78, 83, 89, 90, 98, 129, 130, 131, 132, 133, 134, 135, 136, 137, 145, 148, 182, 183, 193, 194, 195, 198, 201, 213, 216, 218, 317, 318, 319, 333, 355, 360, 361, 362, 363, 364, 365, 366, 368, 369, 374, 377, 385, 407, 409, 422, 433, 434, 438, 439], "df": [337, 353, 375, 376], "dfden": [341, 354], "dfnum": [341, 354], "di": 76, "diag": [6, 78, 87, 122, 123, 145, 165, 167, 179], "diag_indic": [6, 77, 118], "diag_indices_from": [6, 76, 118], "diagflat": [6, 75], "diagon": [6, 75, 76, 77, 78, 83, 87, 98, 118, 145, 162, 166, 167, 168, 419, 422, 423, 424, 425, 426, 427, 428, 447], "dice": 350, "dictionari": 85, "diff": [6, 72, 86, 139, 142], "differ": [3, 15, 20, 32, 34, 35, 36, 38, 44, 62, 72, 75, 78, 80, 83, 85, 86, 89, 90, 98, 119, 122, 123, 130, 131, 132, 133, 135, 136, 137, 139, 145, 168, 182, 183, 193, 194, 195, 201, 277, 317, 318, 319, 324, 385, 410, 422, 433, 438, 439, 451], "digit": [6, 119, 142], "dim": 15, "dimens": [28, 29, 32, 41, 42, 43, 44, 57, 58, 64, 69, 70, 76, 80, 83, 85, 95, 122, 123, 143, 148, 149, 172, 174, 176, 194, 196, 198, 200, 201, 202, 206, 208, 209, 212, 213, 214, 215, 216, 217, 218, 284, 292, 303, 315, 317, 325, 329, 333, 363, 365, 366, 368, 385, 388, 399, 407, 408, 409, 411, 412, 414, 418, 424, 425, 427, 428, 434, 447, 451], "dimension": [2, 4, 30, 61, 65, 68, 76, 77, 78, 80, 83, 87, 100, 101, 102, 103, 105, 106, 107, 108, 110, 111, 112, 113, 114, 115, 116, 117, 118, 130, 131, 133, 170, 176, 180, 181, 194, 196, 200, 201, 202, 208, 209, 212, 214, 216, 218, 306, 317, 325, 385, 404, 409, 411, 418, 434, 435, 440], "direct": [70, 80, 122, 123], "directli": [85, 132, 148, 193, 315, 414], "directori": 138, "dirichlet": 6, "discard": 430, "discret": [3, 61, 65, 72, 80, 86, 100, 101, 102, 105, 106, 107, 108, 110, 111, 112, 113, 114, 115, 116, 117, 139, 333, 440], "disp": 6, "dispers": 378, "displac": [83, 308], "distinguish": 85, "distribut": [3, 4, 193, 333, 334, 335, 337, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 358, 359, 360, 361, 362, 364, 365, 367, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 451], "divid": [6, 84, 125, 128, 204, 386, 429], "divis": [81, 125, 126, 127, 128, 204, 324, 386, 429, 430], "divisor": [216, 218, 409, 434], "divmod": [6, 447], "dlpack": 129, "dmlc": 129, "dn": [333, 360, 362], "do": [3, 4, 85, 335, 393], "docstr": 447, "document": [0, 11, 12, 13, 14, 15, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 121, 122, 123, 124, 125, 126, 127, 128, 130, 131, 132, 133, 134, 135, 136, 137, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 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418, 419, 420, 421, 422, 423, 426, 429, 431, 432, 433, 434, 435, 436, 437, 438, 439, 447], "doe": [20, 52, 176, 211], "done": [3, 40, 83, 87, 181, 272], "dot": [6, 83, 87, 88, 149, 162, 167, 169, 173, 175, 176, 178, 179, 180, 181, 195, 417, 435], "doubl": [9, 346, 417], "down": 123, "dp": [81, 164, 166, 177, 178, 324, 388, 389, 399, 410, 429], "dparrai": 452, "dpcpp": 4, "dpcpp_linux": 4, "dpcpp_win": 4, "dpctl": [0, 4, 14, 15, 19, 20, 32, 34, 35, 36, 37, 38, 62, 68, 75, 78, 83, 89, 90, 97, 98, 126, 127, 128, 130, 131, 132, 133, 134, 135, 136, 137, 145, 148, 182, 183, 193, 201, 204, 208, 209, 212, 214, 215, 317, 318, 319, 320, 322, 327, 328, 333, 355, 360, 361, 362, 363, 364, 365, 366, 368, 369, 374, 377, 413, 422, 433, 438, 439], "dpnp": [0, 2, 3, 4, 440, 447, 451, 452, 455], "dpnp_arrai": [20, 32, 34, 35, 36, 38, 62, 75, 78, 89, 90, 98, 119, 129, 130, 131, 132, 133, 134, 135, 136, 137, 145, 146, 148, 182, 183, 193, 201, 219, 317, 318, 319, 333, 355, 360, 361, 362, 363, 364, 365, 366, 368, 369, 374, 377, 422, 423, 426, 433, 438, 439, 440], "dpnp_iface_arraycr": [201, 317], "draw": [333, 334, 335, 337, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 358, 359, 361, 367, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380], "drawn": [333, 334, 335, 337, 340, 341, 342, 343, 344, 345, 346, 347, 348, 350, 351, 352, 355, 356, 358, 359, 361, 364, 367, 373, 374, 375, 376, 377, 378, 379, 380, 381, 398], "drill": [335, 352], "driver": 2, "drop": [3, 85], "dsplit": [6, 58, 84], "dst": 64, "dstack": [6, 57, 58, 143, 395, 408, 436], "dt": 85, "dt2": 85, "dtype": [0, 9, 11, 12, 13, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 32, 34, 35, 36, 37, 38, 40, 44, 46, 47, 48, 49, 52, 53, 54, 58, 59, 60, 63, 66, 67, 69, 72, 76, 81, 83, 87, 89, 90, 91, 93, 94, 96, 98, 119, 124, 125, 126, 127, 128, 130, 131, 132, 133, 134, 135, 136, 137, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 150, 152, 153, 154, 159, 160, 161, 173, 179, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 202, 203, 204, 207, 208, 209, 211, 212, 213, 214, 215, 216, 217, 218, 272, 278, 289, 295, 307, 309, 313, 314, 316, 318, 319, 323, 324, 325, 326, 333, 355, 361, 377, 384, 385, 386, 389, 390, 391, 394, 395, 396, 400, 401, 402, 403, 405, 406, 408, 409, 410, 411, 415, 416, 419, 422, 423, 426, 429, 430, 434, 436, 438, 439, 447], "dump": 6, "dx": 421, "e": [9, 22, 24, 85, 89, 90, 95, 98, 131, 135, 136, 145, 159, 165, 177, 180, 184, 318, 319, 333, 412, 422, 438, 439], "ea": 88, "each": [0, 11, 12, 13, 18, 21, 22, 23, 24, 25, 26, 27, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 53, 54, 59, 60, 63, 66, 67, 72, 81, 83, 85, 88, 91, 93, 94, 96, 122, 123, 124, 125, 132, 140, 141, 142, 147, 150, 152, 153, 154, 159, 160, 161, 165, 166, 167, 168, 170, 184, 185, 186, 187, 188, 189, 190, 191, 192, 195, 206, 207, 301, 303, 314, 315, 316, 323, 324, 326, 329, 335, 352, 383, 384, 386, 387, 390, 391, 392, 394, 396, 400, 401, 402, 403, 405, 406, 408, 410, 414, 415, 416, 418, 424, 427, 429, 430, 447], "easiest": 4, "easili": 0, "edg": [56, 142], "ediff1d": [6, 80], "effect": [88, 324], "effici": [131, 172, 175, 179], "efgh": 88, "eig": [6, 166, 167, 168], "eigenvalu": [165, 166, 167, 168, 451], "eigenvector": [165, 166, 167, 168], "eigh": [6, 165, 167, 168], "eigval": [6, 165, 166, 168], "eigvalsh": [6, 165, 166, 167], "einstein": [82, 87, 88, 149, 181, 195, 320, 417], "einsum": [6, 82, 88, 149, 181, 195, 320, 417], "einsum_path": [6, 87], "either": [14, 15, 19, 38, 44, 68, 85, 97, 100, 101, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 117, 126, 127, 128, 149, 151, 166, 168, 174, 176, 194, 204, 208, 209, 212, 214, 215, 217, 320, 322, 328, 385, 397, 413, 414], "element": [4, 11, 12, 13, 14, 15, 18, 19, 21, 22, 23, 24, 25, 26, 27, 30, 31, 33, 44, 45, 46, 47, 48, 49, 53, 54, 56, 59, 60, 63, 64, 66, 67, 71, 72, 80, 81, 83, 85, 86, 88, 91, 93, 94, 96, 97, 98, 99, 121, 122, 123, 124, 125, 126, 127, 128, 134, 140, 141, 142, 144, 145, 147, 148, 150, 151, 152, 153, 154, 159, 160, 161, 162, 167, 171, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 200, 202, 203, 204, 205, 207, 210, 211, 212, 214, 215, 216, 217, 218, 267, 268, 275, 276, 278, 280, 281, 284, 286, 287, 289, 291, 293, 294, 299, 300, 301, 302, 304, 307, 308, 311, 313, 314, 315, 316, 322, 323, 324, 325, 326, 328, 330, 382, 383, 384, 385, 386, 387, 388, 390, 391, 392, 393, 394, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 409, 410, 411, 413, 415, 416, 417, 418, 423, 426, 429, 430, 431, 434, 437, 447, 451, 455], "ellipsi": 87, "els": [0, 177, 224], "elsewher": [98, 145, 422, 437], "empti": [4, 6, 32, 83, 90, 131, 135, 136, 170, 281, 318, 319, 438, 439], "empty_lik": [6, 32, 89, 136, 319, 439], "enabl": [172, 175, 179], "encount": [211, 212, 214], "end": [20, 85, 88, 137, 182, 193], "end_tim": 0, "endian": 85, "endpoint": [20, 137, 182, 193], "engin": 369, "enough": 142, "entir": [44, 142, 194, 198, 212, 213, 214, 216, 218, 385, 409, 434], "entri": [83, 85, 89, 121, 122, 123, 306, 407], "env": 4, "environ": 4, "ep": [119, 172], "epsilon": 172, "epsneg": 119, "equal": [6, 14, 15, 19, 33, 44, 58, 65, 69, 72, 83, 98, 137, 140, 141, 142, 143, 151, 156, 159, 160, 161, 171, 175, 176, 181, 182, 193, 294, 316, 333, 343, 377, 386, 390, 391, 394, 395, 400, 407, 408, 422, 424, 427, 436], "equal_nan": [33, 151], "equat": [170, 178, 180, 181, 451], "equiv": [40, 52, 58, 64, 83, 87, 143, 171, 195, 272, 395, 408, 436], "equival": [13, 14, 16, 17, 19, 28, 29, 30, 31, 44, 62, 70, 81, 82, 83, 84, 88, 95, 180, 194, 207, 226, 267, 268, 300, 312, 315, 323, 332, 333, 361, 385, 386, 388, 394, 399, 404, 410, 411, 417, 420, 429, 447], "error": [92, 165, 194, 385, 407, 440, 447], "essenti": 4, "estim": [69, 335, 352], "etc": [85, 352], "euclidean": 170, "euler_gamma": 9, "evalu": [14, 15, 19, 83, 87, 88, 91, 181, 200, 267, 268, 320, 417, 447], "even": [85, 391, 394], "evenli": [20, 137, 182, 193, 391], "everi": [329, 414], "exact": 173, "exactli": [39, 73, 134, 331, 333, 361], "examin": 170, "exampl": [2, 3, 11, 12, 13, 14, 15, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 32, 34, 35, 36, 37, 38, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 74, 75, 76, 78, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 98, 99, 121, 122, 123, 124, 125, 126, 127, 128, 130, 131, 132, 133, 134, 135, 136, 137, 139, 140, 141, 142, 143, 144, 145, 147, 148, 149, 150, 151, 152, 153, 154, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 272, 277, 281, 285, 286, 294, 298, 300, 305, 308, 312, 314, 315, 316, 317, 318, 319, 320, 323, 324, 325, 326, 327, 328, 329, 332, 333, 334, 335, 337, 340, 341, 342, 343, 344, 345, 346, 347, 348, 350, 351, 352, 355, 356, 357, 358, 359, 360, 361, 362, 363, 365, 366, 367, 368, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 420, 421, 422, 423, 426, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439], "except": [4, 11, 12, 13, 15, 20, 21, 22, 23, 24, 25, 26, 27, 30, 32, 34, 35, 36, 38, 46, 47, 48, 49, 50, 51, 53, 54, 56, 58, 59, 60, 62, 63, 66, 67, 68, 80, 81, 82, 83, 89, 90, 91, 93, 94, 96, 98, 100, 106, 114, 124, 125, 130, 131, 132, 133, 134, 135, 136, 140, 141, 143, 144, 145, 150, 152, 153, 154, 159, 160, 161, 173, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 195, 196, 197, 198, 202, 203, 207, 212, 213, 214, 215, 216, 217, 218, 272, 303, 314, 316, 318, 319, 323, 324, 325, 326, 384, 386, 387, 388, 390, 391, 396, 400, 401, 402, 403, 404, 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70, 84, 85, 389], "The": [3, 4, 13, 15, 18, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 39, 44, 46, 47, 48, 49, 51, 53, 56, 57, 58, 62, 63, 64, 66, 67, 69, 70, 71, 72, 75, 78, 80, 81, 83, 84, 85, 86, 87, 88, 89, 90, 91, 93, 94, 95, 96, 98, 100, 106, 114, 121, 124, 125, 126, 127, 128, 130, 131, 132, 133, 134, 135, 136, 137, 140, 141, 142, 143, 144, 145, 148, 150, 152, 153, 154, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 170, 171, 173, 174, 175, 176, 177, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 191, 193, 194, 195, 196, 197, 201, 202, 203, 204, 206, 207, 208, 209, 211, 212, 214, 215, 216, 217, 218, 277, 285, 286, 295, 299, 315, 316, 317, 318, 319, 320, 324, 325, 326, 328, 330, 334, 337, 339, 340, 350, 355, 356, 361, 362, 363, 364, 365, 366, 367, 369, 370, 375, 378, 383, 385, 386, 387, 388, 389, 390, 391, 393, 394, 396, 397, 400, 401, 402, 403, 404, 405, 406, 407, 409, 410, 411, 412, 415, 416, 417, 418, 419, 421, 423, 425, 426, 428, 429, 430, 431, 434, 435, 437, 438, 439, 440, 448, 452], "Then": [36, 38], "There": 182, "These": [4, 85, 87, 88, 95, 206, 448, 452], "To": 4, "With": [28, 29, 44, 174, 196, 202, 208, 209, 215, 217, 326, 412], "_": [0, 409], "__array_interface__": 85, "__bool__": 448, "__dlpack__": 129, "__dlpack_device__": 129, "__eq__": [83, 85, 120, 334], "__ge__": [83, 85, 120, 334], "__getitem__": [83, 85, 120], "__gt__": [83, 85, 120, 334], "__iter__": 120, "__le__": [83, 85, 120, 334], "__len__": [83, 85], "__lt__": [83, 85, 120, 334], "__main__": 0, "__name__": 0, "__ne__": [83, 85, 120, 334], "__next__": 120, "__setitem__": [83, 120], "__sycl_usm_array_interface__": 37, "_dtypes_list": 0, "a1": 33, "a2": 33, "a_max": 56, "a_min": 56, "ab": [6, 12, 15], "abc": 87, "abcd": 88, "about": [36, 38, 83, 119, 165, 283, 448], "abov": [3, 75, 78, 148, 176, 194, 386, 423, 424, 427], "absolut": [6, 11, 15, 18, 99, 177, 216, 218, 327, 410, 435], "accept": [30, 87, 334, 405], "access": [76, 77, 118, 448], "accord": [44, 52, 85, 119, 165, 166, 167, 168, 194, 198, 213, 216, 218, 386, 391, 410, 435], "accordingli": [212, 214], "account": 389, "accumul": [71, 72, 87, 142, 211, 215, 217, 326, 412], "accur": [85, 96, 186, 188], "achiev": 87, "across": [210, 211, 215, 217], "activ": 4, "actual": [85, 142, 162, 173], "ad": [15, 85, 88, 95, 164, 177, 452], "add": [6, 85], "add_docstr": 6, "add_newdoc": 6, "add_newdoc_ufunc": 6, "addit": [162, 213], "address": 85, "advanc": 87, "advers": 87, "advis": 4, "affect": [20, 87, 142], "after": [84, 353, 393], "ag": 85, "against": [15, 28, 29, 50, 51, 56, 138, 174, 175, 196, 202, 208, 209, 215, 217, 326, 330, 412, 415], "ai": [3, 330, 415], "ai_max": 415, "ai_min": 415, "ainv": [169, 180], "algebra": [441, 452], "algorithm": [87, 88], "alia": [16, 17, 81, 119, 219, 334, 364, 367, 369, 396, 430, 437], "alias": 9, "align": 85, "all": [4, 6, 9, 15, 19, 33, 40, 44, 57, 68, 80, 83, 84, 85, 87, 88, 93, 94, 96, 98, 121, 122, 123, 130, 131, 133, 137, 143, 145, 162, 172, 175, 182, 193, 196, 202, 208, 209, 212, 214, 272, 275, 282, 295, 326, 336, 393, 396, 408, 412, 437, 448], "allclos": [6, 33, 151, 169, 175, 176, 178, 179, 181], "alloc": [3, 4, 20, 32, 34, 35, 36, 37, 38, 40, 44, 62, 75, 78, 83, 89, 90, 98, 130, 131, 132, 133, 134, 135, 136, 137, 145, 148, 182, 183, 193, 194, 198, 201, 213, 216, 218, 272, 318, 319, 320, 334, 356, 361, 362, 363, 364, 365, 366, 367, 369, 375, 378, 386, 408, 410, 423, 434, 435, 439, 440], "allow": [40, 83, 87, 142, 272, 301, 448], "alltru": 6, "almost": 165, "along": [3, 4, 14, 16, 17, 19, 28, 29, 30, 44, 57, 58, 68, 71, 72, 75, 78, 80, 83, 84, 86, 121, 122, 123, 126, 127, 132, 137, 139, 143, 148, 174, 176, 180, 181, 182, 193, 194, 196, 197, 198, 199, 200, 202, 203, 208, 209, 211, 212, 213, 214, 215, 216, 217, 218, 269, 270, 271, 278, 279, 289, 291, 296, 297, 308, 310, 312, 314, 326, 328, 329, 330, 386, 388, 393, 394, 396, 405, 409, 410, 412, 414, 415, 418, 419, 420, 422, 425, 428, 435, 437, 448], "alpha": [335, 340, 341, 357, 360], "alreadi": [4, 35, 41, 42, 43], "also": [3, 13, 18, 20, 26, 46, 48, 49, 63, 81, 85, 87, 91, 95, 125, 132, 134, 140, 141, 142, 144, 159, 160, 161, 162, 188, 197, 203, 206, 207, 316, 317, 325, 372, 387, 391, 411, 430, 448], "altern": [3, 4, 71, 72, 82, 83, 195, 196, 198, 202, 211, 213, 215, 216, 217, 218, 313, 326, 410, 412, 435], "although": [18, 85, 419], "alwai": [4, 30, 34, 40, 83, 166, 168, 216, 218, 272, 316, 389, 410, 435], "amax": [6, 196], "ambigu": 448, "amin": [6, 202], "an": [0, 3, 4, 11, 12, 13, 14, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 53, 54, 55, 56, 57, 58, 59, 60, 62, 63, 66, 67, 71, 72, 75, 76, 77, 78, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 93, 94, 95, 96, 97, 98, 118, 119, 121, 122, 124, 125, 126, 127, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 152, 153, 154, 159, 160, 161, 164, 167, 170, 172, 173, 174, 176, 177, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 196, 197, 198, 201, 202, 203, 205, 206, 207, 208, 209, 211, 212, 213, 214, 215, 216, 217, 218, 226, 271, 273, 274, 277, 287, 289, 295, 297, 300, 301, 304, 306, 307, 311, 312, 313, 315, 316, 317, 318, 319, 320, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 334, 336, 341, 342, 344, 353, 356, 361, 362, 363, 364, 365, 366, 367, 369, 370, 375, 378, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 421, 423, 424, 425, 427, 428, 430, 431, 432, 434, 435, 437, 438, 439, 440, 448], "anaconda": 3, "analyt": 3, "angl": [6, 25, 26, 73, 74, 332, 333, 433], "ani": [3, 6, 14, 15, 30, 32, 34, 35, 36, 37, 38, 40, 50, 51, 62, 75, 78, 80, 83, 85, 87, 88, 118, 135, 136, 137, 143, 171, 181, 182, 193, 212, 214, 272, 334, 378, 405, 434, 448], "anoth": [4, 64, 83, 129, 277, 297, 329, 394], "answer": 336, "anyth": 85, "ap": 170, "api": [0, 2, 3, 6, 20, 32, 34, 35, 36, 37, 38, 62, 75, 78, 85, 89, 90, 98, 130, 131, 132, 133, 134, 135, 136, 137, 145, 148, 182, 183, 193, 201, 318, 319, 320, 334, 356, 361, 362, 363, 364, 365, 366, 367, 369, 370, 375, 378, 423, 434, 439, 440], "appear": [95, 122, 123], "append": [0, 6, 80, 88, 95, 159], "appli": [28, 29, 30, 44, 52, 87, 390, 418], "applic": 85, "apply_along_axi": 6, "apply_over_ax": 6, "approach": 85, "appropri": [4, 28, 29, 138, 181, 208, 209, 212, 214, 334, 362, 365, 448], "approxim": 119, "ar": [3, 4, 11, 12, 13, 14, 15, 19, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 33, 40, 41, 42, 43, 44, 46, 47, 48, 49, 50, 53, 54, 56, 57, 58, 59, 60, 63, 64, 65, 66, 67, 68, 69, 71, 72, 74, 79, 80, 81, 82, 83, 85, 86, 87, 88, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 117, 121, 122, 123, 124, 125, 126, 127, 128, 132, 137, 139, 140, 141, 142, 144, 149, 150, 151, 152, 153, 154, 159, 160, 161, 162, 165, 166, 167, 168, 170, 171, 172, 173, 174, 175, 179, 180, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 202, 203, 204, 205, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 272, 294, 295, 315, 316, 317, 321, 322, 323, 324, 325, 326, 327, 329, 330, 331, 333, 334, 335, 336, 338, 341, 342, 343, 344, 345, 346, 347, 348, 349, 351, 352, 353, 356, 357, 359, 360, 362, 365, 366, 368, 374, 376, 377, 378, 379, 380, 381, 382, 383, 385, 386, 387, 391, 392, 393, 395, 396, 397, 398, 399, 401, 402, 403, 405, 406, 407, 409, 410, 411, 412, 414, 416, 417, 418, 420, 422, 426, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 448], "arang": [0, 6, 13, 28, 29, 41, 42, 43, 44, 45, 56, 63, 74, 75, 76, 81, 82, 87, 91, 93, 94, 96, 121, 128, 136, 137, 142, 148, 149, 158, 174, 182, 185, 186, 189, 190, 191, 192, 193, 195, 196, 200, 202, 207, 317, 320, 325, 329, 333, 358, 387, 390, 393, 411, 418, 430, 438, 440], "arbitrari": [39, 82, 85, 87, 149, 195, 390], "arbitrarili": 87, "arc": [18, 25], "arcco": [6, 22, 23, 25, 26, 66], "arccosh": [6, 21, 24, 27, 67], "arcsin": [6, 21, 24, 25, 26, 403], "arcsinh": [6, 22, 23, 27, 404], "arctan": [6, 18, 21, 23, 26, 27, 416], "arctan2": [6, 18, 25], "arctanh": [6, 22, 24, 25, 26, 417], "arg": [50, 334], "arg1": [156, 157], "arg2": [156, 157], "argmax": [0, 6, 29, 83, 208, 330, 415, 448], "argmin": [6, 28, 83, 209, 415, 448], "argpartit": [6, 30, 448], "argsort": [6, 83, 398, 405, 415, 421, 448], "argument": [0, 11, 12, 13, 15, 18, 20, 21, 22, 23, 24, 25, 26, 27, 46, 47, 48, 49, 52, 53, 54, 56, 58, 63, 66, 67, 81, 82, 83, 85, 86, 88, 92, 93, 94, 96, 99, 124, 125, 126, 127, 128, 139, 144, 147, 150, 156, 157, 159, 173, 174, 185, 186, 187, 188, 195, 197, 203, 204, 205, 207, 210, 301, 313, 315, 324, 325, 327, 385, 387, 390, 391, 392, 397, 401, 402, 403, 404, 409, 411, 416, 417, 418, 422, 430, 431, 448], "argwher": 6, "ari": [41, 42, 43], "arithmet": [44, 137, 198, 199, 213, 216, 218, 324, 410, 412, 435, 441, 452], "around": [6, 83, 137, 329, 395], "arr": [85, 331, 358, 426, 429], "arr2": 85, "arr_t": [40, 83, 272], "arra": 438, "arrai": [0, 2, 3, 4, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 101, 103, 107, 108, 112, 113, 115, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 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330, 334, 400, 418, 426, 429, 434], "array_repr": 6, "array_split": [6, 58], "array_str": 6, "arrays_and_dtyp": 390, "asanyarrai": [6, 35, 38], "asarrai": [4, 6, 34, 36, 38, 39], "asarray_chkfinit": [6, 34, 35], "ascend": [166, 168, 398], "ascii": 85, "ascontiguousarrai": [6, 34, 35, 38], "asfarrai": [6, 34, 35], "asfortranarrai": [6, 34, 35, 36], "asmatrix": 6, "asnumpi": 83, "aspect": 85, "assembl": [58, 84, 143, 396, 409, 437], "assign": [83, 282], "associ": [44, 142, 448], "assum": [44, 88, 172, 175, 179], "astyp": [6, 83, 137, 316], "atleast_1d": [6, 42, 43, 95], "atleast_2d": [6, 41, 43, 95], "atleast_3d": [6, 41, 42, 95], "atol": [15, 151], "attain": 0, "attempt": [82, 173], "attribut": [83, 85, 90, 119, 136, 146, 176, 320, 440, 441], "automat": 142, "avail": [2, 3, 4, 14, 15, 19, 65, 68, 69, 74, 85, 86, 92, 99, 128, 139, 151, 199, 204, 205, 208, 209, 210, 212, 214, 215, 321, 333, 422, 433, 441, 448], "averag": [6, 83, 198, 213, 290, 412, 452], "avg": 44, "avoid": [42, 43], "aweight": 69, "ax": [28, 29, 44, 80, 82, 83, 87, 95, 101, 103, 104, 107, 108, 109, 112, 113, 115, 117, 121, 149, 174, 178, 180, 181, 194, 195, 196, 198, 202, 206, 208, 209, 212, 213, 214, 215, 216, 217, 218, 304, 311, 313, 326, 386, 393, 394, 408, 410, 412, 413, 418, 419, 421, 435], "axi": [14, 16, 17, 19, 28, 29, 30, 44, 57, 58, 68, 70, 71, 72, 80, 83, 84, 86, 87, 95, 100, 105, 106, 110, 111, 114, 121, 122, 123, 126, 127, 132, 137, 139, 143, 148, 170, 174, 182, 193, 194, 195, 196, 197, 198, 199, 202, 203, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 267, 268, 269, 270, 271, 278, 279, 289, 290, 291, 295, 296, 297, 300, 306, 307, 308, 310, 312, 313, 314, 322, 326, 328, 329, 330, 383, 386, 388, 389, 393, 394, 396, 405, 408, 409, 410, 412, 413, 414, 415, 418, 419, 421, 422, 435, 437, 448], "axis1": [79, 83, 280, 311, 413, 420], "axis2": [79, 83, 280, 311, 413, 420], "axisa": 70, "axisb": 70, "axisc": 70, "axiserror": [30, 405], "b": [13, 15, 28, 29, 46, 49, 57, 58, 64, 70, 72, 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345], "between": [15, 20, 52, 80, 86, 119, 131, 134, 149, 182, 193, 351, 365, 411, 433], "beyond": [4, 393], "bia": 69, "big": 85, "bin": [142, 372], "bin_edg": 142, "binari": [46, 48, 49, 130, 131, 133, 134, 441, 452], "binary_repr": 6, "bincount": [6, 142], "binomi": [6, 353], "bit": [46, 47, 48, 49, 85, 119, 146, 150, 159, 189, 191, 192, 215, 217, 391, 402, 452], "bitwis": [46, 48, 49], "bitwise_and": [6, 47, 48, 49, 150, 189], "bitwise_not": 6, "bitwise_or": [6, 46, 47, 49, 150, 191], "bitwise_xor": [6, 46, 47, 48, 150, 192], "biufcmmosuv": 85, "blackman": 6, "block": [6, 58, 84, 143, 158, 396, 409, 437], "bmat": 6, "bool": [9, 14, 19, 28, 29, 32, 37, 40, 44, 52, 64, 83, 85, 88, 91, 100, 106, 114, 137, 140, 141, 142, 152, 153, 154, 160, 161, 162, 172, 174, 175, 179, 182, 193, 194, 196, 198, 200, 202, 208, 209, 212, 213, 214, 215, 216, 217, 218, 272, 316, 317, 326, 386, 389, 402, 410, 412, 434, 435, 448], "bool_": 9, "boolean": [46, 47, 48, 49, 64, 85, 148, 150, 151, 152, 153, 154, 189, 191, 194, 198, 213, 215, 216, 218, 316, 386, 389, 410, 414, 435], "both": [15, 44, 56, 70, 82, 126, 127, 128, 149, 158, 174, 195, 204, 217, 321, 418, 436, 438], "bound": [398, 414], "boundari": 329, "briefli": 448, "broadcast": [13, 28, 29, 44, 50, 51, 56, 64, 81, 87, 126, 127, 144, 174, 175, 192, 194, 195, 196, 197, 198, 202, 203, 207, 208, 209, 213, 215, 216, 217, 218, 325, 326, 329, 330, 386, 388, 410, 411, 412, 415, 419, 430, 435, 438], "broadcast_arrai": [6, 51], "broadcast_shap": 6, "broadcast_to": [6, 50, 419], "buffer": [37, 71, 72, 83, 130, 131, 133, 134, 183, 196, 202, 211, 389], "buffer_lik": 130, "build": 452, "build_loc": 4, "built": 85, "busday_count": 6, "busday_offset": 6, "byte": [6, 40, 83, 85, 87, 130, 131, 183, 272, 288, 292], "byte_bound": 6, "byteord": 85, "byteswap": 6, "bz2": 183, "c": [2, 4, 11, 12, 13, 18, 21, 22, 23, 24, 25, 26, 27, 32, 34, 35, 36, 38, 39, 40, 46, 47, 48, 49, 53, 54, 56, 59, 60, 62, 63, 66, 67, 70, 81, 82, 83, 85, 87, 88, 89, 90, 91, 93, 94, 96, 98, 124, 125, 135, 136, 138, 140, 141, 144, 147, 149, 150, 152, 153, 154, 158, 159, 160, 161, 164, 170, 173, 174, 177, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 195, 197, 203, 207, 272, 277, 285, 298, 315, 316, 317, 319, 320, 324, 325, 327, 383, 385, 387, 389, 391, 392, 397, 401, 402, 403, 404, 406, 407, 411, 416, 417, 418, 419, 430, 431, 438, 439, 440], "c_contigu": [36, 38, 83, 277], "ca": 61, "calcul": [11, 12, 13, 18, 26, 44, 72, 80, 81, 86, 87, 91, 93, 94, 96, 99, 124, 125, 126, 127, 139, 142, 144, 165, 166, 167, 168, 170, 175, 186, 188, 194, 195, 198, 204, 207, 213, 216, 218, 317, 325, 326, 386, 387, 410, 411, 430, 435, 436, 441], "call": [18, 28, 29, 30, 36, 38, 85, 132, 165, 167, 173, 226, 316, 408, 419], "callabl": 132, "can": [0, 3, 4, 13, 15, 20, 30, 32, 34, 35, 36, 37, 38, 39, 40, 44, 46, 47, 48, 49, 52, 62, 70, 75, 76, 78, 81, 82, 83, 85, 87, 88, 89, 90, 91, 98, 125, 126, 127, 128, 130, 131, 132, 133, 134, 135, 136, 137, 140, 141, 143, 145, 148, 149, 150, 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72, 83, 84, 98, 122, 123, 143, 145, 165, 166, 170, 173, 176, 179, 272, 285, 383, 396, 409, 423, 425, 428, 434, 437], "column_stack": [6, 58, 84, 143, 396, 409, 437], "combin": [0, 85, 95], "combinatori": 88, "comma": [85, 87], "command": 4, "common": [316, 418], "common_typ": 6, "compani": [336, 353], "compar": [15, 91, 197, 203], "compare_chararrai": 6, "comparison": [2, 91, 140, 141, 160, 161, 317, 441, 452], "compat": [3, 40, 44, 83, 194, 198, 212, 213, 214, 216, 218, 272, 386, 389, 410, 435, 452], "compil": [4, 85, 138], "complement": 433, "complementari": [125, 128, 204], "complet": [3, 4, 88, 131, 132, 176, 394, 448], "complex": [9, 11, 12, 18, 25, 26, 52, 82, 83, 85, 88, 92, 119, 147, 165, 166, 167, 168, 176, 177, 179, 194, 195, 216, 218, 275, 276, 327, 384, 386, 410, 435, 436, 448, 452], "complex128": [9, 44, 100, 101, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 117, 390], "complex64": [9, 44, 100, 106], "compliant": 83, "complic": 87, "compon": [104, 109, 119, 147, 384], "compos": 63, "composit": [158, 412, 422], "compress": [6, 414, 448], "comput": [4, 18, 21, 22, 23, 24, 25, 26, 27, 31, 44, 46, 47, 48, 49, 53, 59, 60, 66, 67, 71, 72, 80, 87, 93, 94, 95, 96, 99, 100, 101, 102, 103, 105, 106, 107, 108, 110, 111, 112, 113, 114, 115, 116, 117, 124, 140, 141, 142, 147, 148, 150, 158, 160, 161, 163, 164, 165, 166, 167, 168, 169, 173, 174, 175, 176, 177, 179, 180, 181, 184, 185, 186, 187, 189, 190, 191, 192, 194, 195, 198, 199, 204, 211, 212, 213, 214, 215, 216, 217, 218, 315, 324, 327, 384, 385, 386, 387, 392, 395, 397, 401, 402, 403, 404, 406, 410, 412, 416, 417, 418, 435], "compute_uv": [163, 179], "concaten": [6, 57, 84, 143, 396, 409, 415, 437], "concept": [20, 32, 34, 35, 36, 37, 38, 62, 75, 78, 89, 90, 98, 130, 131, 132, 133, 134, 135, 136, 137, 145, 148, 182, 183, 193, 201, 318, 319, 320, 334, 356, 361, 362, 363, 364, 365, 366, 367, 369, 370, 375, 378, 423, 434, 439, 440, 448], "cond": [6, 169], "condit": [40, 82, 83, 97, 163, 169, 173, 272, 316, 323, 329, 331, 399, 438], "condlist": 399, "conj": [6, 60, 83, 147, 162, 165, 327], "conjug": [6, 59, 82, 83, 147, 162, 165, 166, 167, 168, 195, 275, 327, 436], "consecut": [80, 86], "conserv": 200, "consid": [20, 32, 34, 35, 36, 38, 88, 137, 152, 166, 168, 172, 182, 193, 195, 334, 362], "consist": [33, 131, 181, 182, 415, 418], "constant": [9, 85], "constraint": 44, "construct": [34, 35, 55, 75, 78, 83, 85, 130, 131, 132, 133, 134, 183, 201, 273, 318, 388, 419, 438, 441], "constructor": 448, "consum": [83, 292], "contain": [11, 12, 13, 14, 15, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 46, 47, 48, 49, 53, 54, 56, 59, 60, 63, 64, 66, 67, 70, 81, 83, 85, 91, 93, 94, 96, 124, 125, 129, 134, 138, 140, 141, 142, 144, 147, 148, 150, 159, 160, 161, 166, 176, 179, 184, 185, 186, 187, 188, 189, 190, 191, 192, 194, 197, 198, 203, 207, 208, 209, 212, 213, 214, 216, 218, 301, 315, 316, 317, 324, 325, 327, 334, 384, 385, 386, 387, 391, 392, 395, 397, 401, 402, 403, 404, 406, 407, 410, 411, 416, 417, 421, 425, 428, 430, 431, 435, 448], "content": [36, 83, 371], "contigu": [34, 35, 36, 38, 82, 83, 87, 173, 285, 298, 383, 389], "continu": [334, 366], "contourf": 200, "contract": [87, 88, 418], "contrast": 329, "contribut": [44, 142], "control": [4, 40, 52, 58, 64, 83, 87, 143, 195, 272, 396, 409, 437], "conveni": [83, 313, 334], "convent": [82, 87, 88, 149, 181, 195, 321, 418], "convers": [40, 83, 87, 272, 441], "convert": [28, 29, 32, 34, 35, 36, 37, 38, 39, 41, 42, 43, 62, 73, 74, 75, 78, 85, 88, 95, 135, 136, 137, 182, 193, 332, 333, 433, 434], "convolut": [61, 65], "convolv": [6, 65], "coordin": [68, 132, 200], "copi": [6, 20, 30, 32, 34, 35, 36, 37, 38, 40, 41, 42, 43, 64, 75, 78, 83, 85, 89, 90, 98, 130, 131, 132, 133, 134, 135, 136, 137, 145, 148, 182, 183, 193, 200, 201, 226, 272, 285, 287, 295, 301, 304, 318, 319, 320, 322, 324, 334, 356, 361, 362, 363, 364, 365, 366, 367, 369, 375, 378, 389, 398, 405, 408, 423, 424, 427, 434, 439, 440, 448], "copysign": [6, 315, 324], "copyto": [6, 83, 277], "core": [3, 85, 87, 448], "corrcoef": [6, 69], "correct": [11, 12, 13, 18, 21, 22, 23, 24, 25, 26, 27, 31, 46, 47, 48, 49, 53, 54, 58, 59, 60, 63, 66, 67, 81, 91, 93, 94, 96, 124, 125, 140, 141, 144, 147, 150, 152, 153, 154, 159, 160, 161, 178, 184, 185, 186, 187, 188, 189, 190, 191, 192, 197, 203, 207, 315, 317, 324, 325, 327, 385, 387, 391, 392, 395, 397, 401, 402, 403, 404, 406, 407, 409, 411, 416, 417, 430, 431], "correctli": [18, 25, 28, 29, 174, 196, 202, 208, 209, 215, 217, 316, 326, 412], "correl": [6, 452], "correspond": [6, 20, 28, 29, 32, 34, 35, 36, 37, 38, 56, 58, 62, 75, 78, 83, 89, 90, 98, 130, 131, 132, 133, 134, 135, 136, 137, 145, 148, 165, 166, 182, 183, 193, 195, 201, 281, 318, 319, 320, 334, 356, 361, 362, 363, 364, 365, 366, 367, 369, 370, 375, 378, 393, 400, 410, 418, 421, 423, 434, 435, 439, 440, 448], "cosh": [6, 22, 66, 404, 417], "cosin": [21, 22, 23, 24, 25, 26, 27, 66, 67, 403, 404, 416, 417], "cost": [87, 88], "costli": 88, "could": [83, 306], "count": [45, 68, 85, 88, 121, 130, 131, 133, 134, 142, 316, 326, 336, 412, 441, 452], "count_nonzero": [6, 316], "counterpart": 448, "cov": [6, 352], "covari": 69, "cover": 452, "cpu": [4, 14, 15, 19, 20, 32, 34, 35, 36, 38, 62, 65, 69, 75, 78, 79, 86, 89, 90, 92, 97, 98, 99, 100, 101, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 117, 126, 127, 128, 130, 131, 132, 133, 135, 136, 137, 139, 145, 151, 182, 183, 193, 199, 201, 204, 205, 210, 215, 318, 319, 320, 321, 323, 329, 414, 422, 423, 434, 439, 440], "creat": [3, 4, 20, 32, 34, 35, 36, 37, 38, 62, 75, 76, 78, 83, 85, 88, 89, 90, 98, 129, 130, 131, 132, 133, 134, 135, 136, 137, 145, 148, 182, 183, 193, 201, 277, 318, 319, 320, 330, 334, 356, 361, 362, 363, 364, 365, 366, 367, 369, 370, 375, 378, 423, 434, 439, 440, 448, 452], "creation": [85, 88, 441, 448, 452], "cross": [6, 65], "csingl": 9, "cube": [53, 406], "cubic": 88, "cumprod": [6, 83, 210, 448], "cumproduct": 6, "cumsum": [6, 80, 83, 211, 412, 448], "cumul": [71, 72, 80, 83, 210, 211, 278, 279, 412], "cupi": [2, 441], "current": [11, 12, 13, 15, 21, 22, 23, 24, 25, 26, 27, 46, 47, 48, 49, 53, 54, 56, 63, 66, 67, 81, 85, 86, 88, 93, 94, 96, 99, 124, 125, 126, 127, 128, 131, 139, 144, 145, 150, 159, 185, 186, 187, 188, 197, 203, 204, 205, 207, 210, 315, 324, 325, 327, 385, 387, 391, 392, 397, 401, 402, 403, 404, 411, 416, 417, 422, 430, 431], "custom": 448, "cut": 170, "cutoff": 175, "cyclic": 329, "cython": 4, "d": [0, 20, 44, 57, 58, 71, 72, 75, 76, 78, 82, 84, 85, 98, 101, 102, 103, 107, 108, 112, 113, 115, 116, 117, 122, 123, 134, 143, 145, 149, 164, 166, 167, 173, 174, 177, 195, 200, 211, 217, 316, 325, 326, 329, 339, 383, 389, 396, 398, 400, 409, 412, 414, 418, 419, 434, 437, 448], "d0": [334, 361, 363], "d1": [334, 363], "d3": 76, "data": [1, 3, 4, 11, 12, 13, 14, 15, 18, 19, 21, 22, 23, 24, 25, 26, 27, 30, 31, 32, 34, 35, 36, 37, 38, 39, 40, 44, 46, 47, 48, 49, 51, 52, 53, 54, 58, 59, 60, 62, 63, 64, 65, 66, 67, 68, 69, 74, 75, 78, 81, 82, 83, 85, 86, 87, 89, 90, 91, 92, 93, 94, 96, 98, 99, 100, 101, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 117, 119, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 150, 151, 152, 153, 154, 159, 160, 161, 170, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 197, 198, 199, 203, 204, 205, 207, 208, 209, 210, 212, 213, 214, 215, 216, 218, 272, 301, 313, 315, 317, 319, 320, 321, 324, 325, 327, 329, 330, 333, 334, 335, 336, 338, 341, 342, 343, 344, 345, 346, 347, 348, 349, 353, 356, 357, 359, 360, 361, 362, 363, 364, 366, 367, 368, 369, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 389, 391, 392, 393, 394, 395, 396, 397, 398, 401, 402, 403, 404, 406, 407, 408, 409, 410, 411, 414, 415, 416, 417, 422, 423, 430, 431, 433, 435, 437, 438, 439, 440, 441, 452], "datatyp": [85, 172], "date": 4, "datetim": 85, "datetime_as_str": 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"diagon": [6, 75, 76, 77, 78, 83, 87, 98, 118, 145, 162, 166, 167, 168, 420, 423, 424, 425, 426, 427, 428, 429, 448], "dice": 351, "dictionari": 85, "diff": [6, 72, 86, 139, 142], "differ": [3, 15, 20, 32, 34, 35, 36, 38, 44, 62, 72, 75, 78, 80, 83, 85, 86, 89, 90, 98, 119, 122, 123, 130, 131, 132, 133, 135, 136, 137, 139, 145, 168, 182, 183, 193, 194, 195, 201, 277, 318, 319, 320, 325, 386, 411, 423, 434, 439, 440, 452], "digit": [6, 119, 142], "dim": 15, "dimens": [28, 29, 32, 41, 42, 43, 44, 57, 58, 64, 69, 70, 76, 80, 83, 85, 95, 122, 123, 143, 148, 149, 172, 174, 176, 194, 196, 198, 200, 201, 202, 206, 208, 209, 212, 213, 214, 215, 216, 217, 218, 285, 293, 304, 316, 318, 326, 330, 334, 364, 366, 367, 369, 386, 389, 400, 408, 409, 410, 412, 413, 415, 419, 425, 426, 428, 429, 435, 448, 452], "dimension": [2, 4, 30, 61, 65, 68, 76, 77, 78, 80, 83, 87, 100, 101, 102, 103, 105, 106, 107, 108, 110, 111, 112, 113, 114, 115, 116, 117, 118, 130, 131, 133, 170, 176, 180, 181, 194, 196, 200, 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85], "dsplit": [6, 58, 84], "dst": 64, "dstack": [6, 57, 58, 143, 396, 409, 437], "dt": 85, "dt2": 85, "dtype": [0, 9, 11, 12, 13, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 32, 34, 35, 36, 37, 38, 40, 44, 46, 47, 48, 49, 52, 53, 54, 58, 59, 60, 63, 66, 67, 69, 71, 72, 76, 81, 83, 87, 89, 90, 91, 93, 94, 96, 98, 119, 124, 125, 126, 127, 128, 130, 131, 132, 133, 134, 135, 136, 137, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 150, 152, 153, 154, 159, 160, 161, 173, 179, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 202, 203, 204, 207, 208, 209, 211, 212, 213, 214, 215, 216, 217, 218, 272, 278, 279, 290, 296, 308, 310, 314, 315, 317, 319, 320, 324, 325, 326, 327, 334, 356, 362, 378, 385, 386, 387, 390, 391, 392, 395, 396, 397, 401, 402, 403, 404, 406, 407, 409, 410, 411, 412, 416, 417, 420, 423, 424, 427, 430, 431, 435, 437, 439, 440, 448], "dump": 6, "dx": 422, "e": [9, 22, 24, 71, 85, 89, 90, 95, 98, 131, 135, 136, 145, 159, 165, 177, 180, 184, 319, 320, 334, 413, 423, 439, 440], "ea": 88, "each": [0, 11, 12, 13, 18, 21, 22, 23, 24, 25, 26, 27, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 53, 54, 59, 60, 63, 66, 67, 71, 72, 81, 83, 85, 88, 91, 93, 94, 96, 122, 123, 124, 125, 132, 140, 141, 142, 147, 150, 152, 153, 154, 159, 160, 161, 165, 166, 167, 168, 170, 184, 185, 186, 187, 188, 189, 190, 191, 192, 195, 206, 207, 302, 304, 315, 316, 317, 324, 325, 327, 330, 336, 353, 384, 385, 387, 388, 391, 392, 393, 395, 397, 401, 402, 403, 404, 406, 407, 409, 411, 415, 416, 417, 419, 425, 428, 430, 431, 448], "easiest": 4, "easili": 0, "edg": [56, 142], "ediff1d": [6, 80], "effect": [88, 325], "effici": [131, 172, 175, 179], "efgh": 88, "eig": [6, 166, 167, 168], "eigenvalu": [165, 166, 167, 168, 452], "eigenvector": [165, 166, 167, 168], "eigh": [6, 165, 167, 168], "eigval": [6, 165, 166, 168], "eigvalsh": [6, 165, 166, 167], "einstein": [82, 87, 88, 149, 181, 195, 321, 418], "einsum": [6, 82, 88, 149, 181, 195, 321, 418], 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13, 15, 20, 21, 22, 23, 24, 25, 26, 27, 30, 32, 34, 35, 36, 38, 46, 47, 48, 49, 50, 51, 53, 54, 56, 58, 59, 60, 62, 63, 66, 67, 68, 80, 81, 82, 83, 89, 90, 91, 93, 94, 96, 98, 100, 106, 114, 124, 125, 130, 131, 132, 133, 134, 135, 136, 140, 141, 143, 144, 145, 150, 152, 153, 154, 159, 160, 161, 173, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 195, 196, 197, 198, 202, 203, 207, 212, 213, 214, 215, 216, 217, 218, 272, 304, 315, 317, 319, 320, 324, 325, 326, 327, 385, 387, 388, 389, 391, 392, 397, 401, 402, 403, 404, 405, 406, 407, 410, 411, 412, 416, 417, 430, 431, 435, 439, 440], "exclud": [11, 12, 182, 334, 378], "exclus": [334, 362], "execut": [3, 4, 14, 15, 19, 34, 35, 65, 69, 79, 86, 92, 97, 99, 100, 101, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 117, 126, 127, 128, 132, 139, 151, 199, 204, 205, 210, 215, 321, 323, 329, 337, 339, 340, 350, 355, 371, 414, 422], "executor": 0, "exist": [57, 58, 84, 85, 95, 143, 389, 396, 409, 437, 452], "exp": [6, 94, 96, 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Searching, and Counting", "Special Functions", "Statistical Functions", "Universal Functions (ufunc)"], "titleterms": {"The": 7, "__abs__": 221, "__add__": 222, "__and__": 223, "__bool__": 224, "__complex__": 225, "__copy__": 226, "__eq__": 227, "__float__": 228, "__floordiv__": 229, "__ge__": 230, "__getitem__": 231, "__gt__": 232, "__iadd__": 233, "__iand__": 234, "__ifloordiv__": 235, "__ilshift__": 236, "__imod__": 237, "__imul__": 238, "__int__": 239, "__invert__": 240, "__ior__": 241, "__ipow__": 242, "__irshift__": 243, "__isub__": 244, "__itruediv__": 245, "__ixor__": 246, "__le__": 247, "__len__": 248, "__lshift__": 249, "__lt__": 250, "__matmul__": 251, "__mod__": 252, "__mul__": 253, "__ne__": 254, "__neg__": 255, "__new__": 256, "__or__": 257, "__pos__": 258, "__pow__": 259, "__repr__": 260, "__rshift__": 261, "__setitem__": 262, "__str__": 263, "__sub__": 264, "__truediv__": 265, "__xor__": 266, "ab": 11, "absolut": 12, "ad": 445, "add": 13, "algebra": [6, 443], "all": 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"choleski": 162, "choos": [55, 273], "class": 7, "clip": [56, 274], "co": 66, "column_stack": 57, "comparison": [6, 444, 448, 456], "complex": 446, "concaten": 58, "cond": 163, "conda": 4, "conj": [59, 275], "conjug": [60, 276], "construct": 448, "control": 0, "convers": 448, "convolv": 61, "copi": [62, 277], "copysign": 63, "copyto": 64, "correl": [65, 455], "cosh": 67, "count": 453, "count_nonzero": 68, "cov": 69, "creat": 8, "creation": 7, "cross": 70, "cumprod": [71, 278], "cumsum": [72, 279], "cupi": 6, "data": [0, 2, 7, 8, 9, 442, 448, 451], "decomposit": 443, "deg2rad": 73, "degre": 74, "det": 164, "develop": 2, "devic": 4, "diag": 75, "diag_indic": 76, "diag_indices_from": 77, "diagflat": 78, "diagon": [79, 280], "diff": 80, "differ": 446, "dimens": 445, "dimension": [6, 448], "dirichlet": 340, "discret": 6, "distribut": 451, "divid": 81, "dot": 82, "dpnp": [6, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 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252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 451], "dpnp_arrai": 83, "driver": 4, "dstack": 84, "dtype": [85, 281], "ediff1d": 86, "eig": 165, "eigenvalu": 443, "eigh": 166, "eigval": 167, "eigvalsh": 168, "einsum": 87, "einsum_path": 88, "element": [5, 445], "empti": 89, "empty_lik": 90, "equal": 91, "equat": 443, "erf": 92, "error": 454, "exampl": [0, 4], "exist": 7, "exp": 93, "exp2": 94, "expand_dim": 95, "expm1": 96, "expon": 446, "exponenti": 341, "extens": 2, "extract": 97, "extrema": 446, "ey": 98, "f": 342, "fab": 99, "fft": [10, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117], "fft2": 101, "fftfreq": 102, "fftn": 103, "fftshift": 104, "fill": 282, "fill_diagon": 118, "find": 446, "finfo": 119, "flag": 283, "flat": 284, "flatit": 120, "flatten": 285, "flip": 121, "fliplr": 122, "flipud": 123, "float": [446, 456], "floor": 124, "floor_divid": 125, "fmax": 126, "fmin": 127, "fmod": 128, "format": 5, "fourier": 6, "from": [4, 7], "from_dlpack": 129, "frombuff": 130, "fromfil": 131, "fromfunct": 132, "fromit": 133, "fromstr": 134, "full": 135, "full_lik": 136, "function": [10, 444, 446, 454, 455, 456], "gamma": 343, "gener": [442, 451], "geometr": 344, "geomspac": 137, "get_includ": 138, "gradient": 139, "greater": 140, "greater_equ": 141, "guid": 4, "gumbel": 345, "handl": 446, "helper": 10, "hermitian": 10, "hfft": 105, "histogram": [142, 455], "hstack": 143, "hyperbol": 446, "hypergeometr": 346, "hypot": 144, "ident": 145, "ifft": 106, "ifft2": 107, "ifftn": 108, "ifftshift": 109, "ihfft": 110, "iinfo": 146, "imag": [147, 286], "index": [442, 448], "indic": 148, "infin": 444, "inform": [2, 8], "inner": 149, "insert": 442, "instal": 4, "interplai": 0, "interpret": 4, "inv": 169, "invert": 150, "irfft": 111, "irfft2": 112, "irfftn": 113, "isclos": 151, "isfinit": 152, "isinf": 153, "isnan": 154, "isscalar": 155, "issubdtyp": 156, "issubsctyp": 157, "item": [287, 448], "items": 288, "iter": 442, "join": 445, "kind": 445, "kron": 158, "laplac": 347, "layout": 448, "left_shift": 159, "less": 160, "less_equ": 161, "level": 6, "librari": 0, "like": [442, 445], "linalg": [162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181], "linear": [6, 443], "linspac": 182, "loadtxt": 183, "log": 184, "log10": 185, "log1p": 186, "log2": 187, "logaddexp": 188, "logarithm": 446, "logic": 444, "logical_and": 189, "logical_not": 190, "logical_or": 191, "logical_xor": 192, "logist": 348, "lognorm": 349, "logseri": 350, "logspac": 193, "logsumexp": 194, "lstsq": 170, "manipul": [445, 448], "math": 456, "mathemat": 446, "matmul": 195, "matric": 7, "matrix": [7, 443, 448], "matrix_pow": 171, "matrix_rank": 172, "max": [196, 289], "maximum": 197, "mean": [198, 290], "median": 199, "memori": 448, "meshgrid": 200, "method": 448, "mgrid": 201, "min": [202, 291], "minimum": 203, "miscellan": [8, 446, 447], "mod": 204, "modf": 205, "modul": [6, 450], "moveaxi": 206, "multi": [6, 448], "multi_dot": 173, "multinomi": 351, "multipl": 448, "multipli": 207, "multivariate_norm": 352, "nan": 444, "nanargmax": 208, "nanargmin": 209, "nancumprod": 210, "nancumsum": 211, "nanmax": 212, "nanmean": 213, "nanmin": 214, "nanprod": 215, "nanstd": 216, "nansum": 217, "nanvar": 218, "nbyte": 292, "ndarrai": [219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 448], "ndim": 293, "neg": 315, "negative_binomi": 353, "noncentral_chisquar": 354, "noncentral_f": 355, "nonzero": [294, 316], "norm": [174, 443], "normal": 356, "not_equ": 317, "number": [443, 445, 446], "numer": 7, "numpi": [2, 6], "ogrid": 318, "ones": 319, "ones_lik": 320, "oper": [5, 442, 444, 445, 446, 448, 456], "order": 455, "other": [443, 446, 448], "outer": 321, "output": 5, "over": 442, "overview": 3, "pack": 5, "packag": [4, 450], "pad": 449, "parallel": [0, 2], "pareto": 357, "partit": [295, 322], "permut": [358, 451], "pinv": 175, "place": 323, "point": 446, "poisson": 359, "poly1d": 450, "polynomi": 450, "polyutil": 450, "posit": 324, "power": [325, 360], "prod": [296, 326], "product": [443, 446], "proj": 327, "ptp": 328, "put": [297, 329], "put_along_axi": 330, "putmask": 331, "python": 4, "qr": 176, "quick": 4, "rad2deg": 332, "radian": 333, "rand": 361, "randint": 362, "randn": 363, "random": [6, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 451], "random_integ": 365, "random_sampl": 366, "randomst": 334, "ranf": 367, "rang": 7, "ration": 446, "ravel": [298, 383], "rayleigh": 368, "real": [10, 299, 384], "rearrang": 445, "reciproc": 385, "reduce_hypot": 386, "refer": [1, 441], "remaind": 387, "remov": 445, "repeat": [300, 388], "reshap": [301, 389], "result_typ": 390, "rfft": 114, "rfft2": 115, "rfftfreq": 116, "rfftn": 117, "right_shift": 391, "rint": 392, "roll": 393, "rollaxi": 394, "round": [302, 395, 446], "routin": [7, 8, 10, 442, 445, 446, 447, 452], "row_stack": 396, "rsqrt": 397, "sampl": [6, 369, 451], "scikit": 4, "search": 453, "searchsort": [303, 398], "seed": 370, "select": [399, 448], "shape": [7, 304, 400, 445, 448], "shuffl": 371, "sign": 401, "signbit": 402, "simpl": 451, "sin": 403, "sinh": 404, "size": 305, "slogdet": 177, "solv": [178, 443], "sort": [306, 405, 453], "special": [446, 448, 454], "split": 445, "sqrt": 406, "squar": 407, "squeez": [307, 408], "stack": 409, "standard": 10, "standard_cauchi": 372, "standard_exponenti": 373, "standard_gamma": 374, "standard_norm": 375, "standard_t": 376, "start": 4, "statist": 455, "std": [308, 410], "stride": 309, "subtract": 411, "sum": [310, 412, 446], "summari": 6, "svd": 179, "swapax": [311, 413], "t": 220, "tabl": 6, "take": [312, 414], "take_along_axi": 415, "tan": 416, "tanh": 417, "tensordot": 418, "tensorinv": 180, "tensorsolv": 181, "test": [4, 8, 444], "tile": [419, 445], "trace": 420, "transform": 6, "transpos": [313, 421, 445], "trapz": 422, "tri": 423, "triangular": 377, "trigonometr": [446, 456], "tril": 424, "tril_indic": 425, "tril_indices_from": 426, "triu": 427, "triu_indic": 428, "triu_indices_from": 429, "true_divid": 430, "trunc": 431, "truth": 444, "twiddl": 456, "type": [8, 9, 444, 448], "ufunc": 456, "uniform": 378, "uniqu": 432, "univers": 456, "unwrap": 433, "util": 447, "valu": [7, 444], "vander": 434, "var": [314, 435], "varianc": 455, "vdot": 436, "vector": 443, "vonmis": 379, "vstack": 437, "wald": 380, "weibul": 381, "where": 438, "wise": 5, "zero": 439, "zeros_lik": 440, "zipf": 382}})
\ No newline at end of file

          Multi-Dimensional Array
          		
 
          56
          37
          38
          		
 
          47
          		
 
          
 
          Linear Algebra
          
 
          Total
          		
 
          542
          356
          357
          		
 
          429
          		
 
          
 
          numpy.ndarray.cumprod()
          -
          dpnp.ndarray.cumprod()
          		
 
          cupy.ndarray.cumprod()
          		
 
          
 
          numpy.ndarray.cumsum()
          
 
          56
          37
          38
          		
 
          47
          		
 
          
           
               
 
          dpnp.ndarray.prod
          		
 
          Returns the prod along a given axis.
          		
 
          dpnp.ndarray.all
          dpnp.ndarray.cumprod
          Return the cumulative product of the elements along the given axis.
          dpnp.ndarray.all
          		
 
          Returns True if all elements evaluate to True.
          		
 
          dpnp.ndarray.any
          dpnp.ndarray.any
          		
 
          Returns True if any of the elements of a evaluate to True.