Optimize _batched_lu_factor for dpnp.linalg.det/slogdet (#2572)

This PR suggests optimizing and simplifying `_batched_lu_factor` logic
by replacing per-iteration allocations with a single preallocated buffer
and batch-axis views which improves performance in `dpnp.linalg.det` and
`dpnp.linalg.slogdet` 879a629

Author: github-actions[bot]

.buildinfo

@@ -1,4 +1,4 @@
 # Sphinx build info version 1
 # This file records the configuration used when building these files. When it is not found, a full rebuild will be done.
-config: c0ef6489e8f08731f82290e21fdb87cc
+config: 6d38945b1f92ff614c4e93e878e29f44
 tags: 645f666f9bcd5a90fca523b33c5a78b7

_modules/dpnp/dpnp_array.html

@@ -14,14 +14,14 @@
     </script>
 
   <meta name="viewport" content="width=device-width, initial-scale=1.0" />
-  <title>dpnp.dpnp_array &mdash; Data Parallel Extension for NumPy 0.19.0dev3+29.g25b7466c354 documentation</title>
+  <title>dpnp.dpnp_array &mdash; Data Parallel Extension for NumPy 0.19.0dev4+1.g879a6292cc8 documentation</title>
       <link rel="stylesheet" type="text/css" href="../../_static/pygments.css?v=03e43079" />
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_modules/dpnp/dpnp_array_api_info.html

@@ -14,14 +14,14 @@
     </script>
 
   <meta name="viewport" content="width=device-width, initial-scale=1.0" />
-  <title>dpnp.dpnp_array_api_info &mdash; Data Parallel Extension for NumPy 0.19.0dev3+29.g25b7466c354 documentation</title>
+  <title>dpnp.dpnp_array_api_info &mdash; Data Parallel Extension for NumPy 0.19.0dev4+1.g879a6292cc8 documentation</title>
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+      <script src="../../_static/documentation_options.js?v=aa9e9824"></script>
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_modules/dpnp/dpnp_flatiter.html

@@ -14,14 +14,14 @@
     </script>
 
   <meta name="viewport" content="width=device-width, initial-scale=1.0" />
-  <title>dpnp.dpnp_flatiter &mdash; Data Parallel Extension for NumPy 0.19.0dev3+29.g25b7466c354 documentation</title>
+  <title>dpnp.dpnp_flatiter &mdash; Data Parallel Extension for NumPy 0.19.0dev4+1.g879a6292cc8 documentation</title>
       <link rel="stylesheet" type="text/css" href="../../_static/pygments.css?v=03e43079" />
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+      <script src="../../_static/documentation_options.js?v=aa9e9824"></script>
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_modules/dpnp/dpnp_iface.html

@@ -14,14 +14,14 @@
     </script>
 
   <meta name="viewport" content="width=device-width, initial-scale=1.0" />
-  <title>dpnp.dpnp_iface &mdash; Data Parallel Extension for NumPy 0.19.0dev3+29.g25b7466c354 documentation</title>
+  <title>dpnp.dpnp_iface &mdash; Data Parallel Extension for NumPy 0.19.0dev4+1.g879a6292cc8 documentation</title>
       <link rel="stylesheet" type="text/css" href="../../_static/pygments.css?v=03e43079" />
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       <script src="../../_static/_sphinx_javascript_frameworks_compat.js?v=2cd50e6c"></script>
-      <script src="../../_static/documentation_options.js?v=501b3194"></script>
+      <script src="../../_static/documentation_options.js?v=aa9e9824"></script>
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       <script src="../../_static/sphinx_highlight.js?v=dc90522c"></script>
     <script src="../../_static/js/theme.js"></script>
@@ -140,6 +140,7 @@ <h1>Source code for dpnp.dpnp_iface</h1><div class="highlight"><pre>
 <span class="kn">from</span><span class="w"> </span><span class="nn">dpnp.linalg</span><span class="w"> </span><span class="kn">import</span> <span class="o">*</span>
 <span class="kn">from</span><span class="w"> </span><span class="nn">dpnp.memory</span><span class="w"> </span><span class="kn">import</span> <span class="o">*</span>
 <span class="kn">from</span><span class="w"> </span><span class="nn">dpnp.random</span><span class="w"> </span><span class="kn">import</span> <span class="o">*</span>
+<span class="kn">from</span><span class="w"> </span><span class="nn">dpnp.special</span><span class="w"> </span><span class="kn">import</span> <span class="o">*</span>
 
 <span class="n">__all__</span> <span class="o">=</span> <span class="p">[</span>
     <span class="s2">&quot;are_same_logical_tensors&quot;</span><span class="p">,</span>
@@ -172,8 +173,6 @@ <h1>Source code for dpnp.dpnp_iface</h1><div class="highlight"><pre>
 <span class="kn">from</span><span class="w"> </span><span class="nn">dpnp.dpnp_iface_histograms</span><span class="w"> </span><span class="kn">import</span> <span class="n">__all__</span> <span class="k">as</span> <span class="n">__all__histograms</span>
 <span class="kn">from</span><span class="w"> </span><span class="nn">dpnp.dpnp_iface_indexing</span><span class="w"> </span><span class="kn">import</span> <span class="o">*</span>
 <span class="kn">from</span><span class="w"> </span><span class="nn">dpnp.dpnp_iface_indexing</span><span class="w"> </span><span class="kn">import</span> <span class="n">__all__</span> <span class="k">as</span> <span class="n">__all__indexing</span>
-<span class="kn">from</span><span class="w"> </span><span class="nn">dpnp.dpnp_iface_libmath</span><span class="w"> </span><span class="kn">import</span> <span class="o">*</span>
-<span class="kn">from</span><span class="w"> </span><span class="nn">dpnp.dpnp_iface_libmath</span><span class="w"> </span><span class="kn">import</span> <span class="n">__all__</span> <span class="k">as</span> <span class="n">__all__libmath</span>
 <span class="kn">from</span><span class="w"> </span><span class="nn">dpnp.dpnp_iface_linearalgebra</span><span class="w"> </span><span class="kn">import</span> <span class="o">*</span>
 <span class="kn">from</span><span class="w"> </span><span class="nn">dpnp.dpnp_iface_linearalgebra</span><span class="w"> </span><span class="kn">import</span> <span class="n">__all__</span> <span class="k">as</span> <span class="n">__all__linearalgebra</span>
 <span class="kn">from</span><span class="w"> </span><span class="nn">dpnp.dpnp_iface_logic</span><span class="w"> </span><span class="kn">import</span> <span class="o">*</span>
@@ -208,7 +207,6 @@ <h1>Source code for dpnp.dpnp_iface</h1><div class="highlight"><pre>
 <span class="n">__all__</span> <span class="o">+=</span> <span class="n">__all__functional</span>
 <span class="n">__all__</span> <span class="o">+=</span> <span class="n">__all__histograms</span>
 <span class="n">__all__</span> <span class="o">+=</span> <span class="n">__all__indexing</span>
-<span class="n">__all__</span> <span class="o">+=</span> <span class="n">__all__libmath</span>
 <span class="n">__all__</span> <span class="o">+=</span> <span class="n">__all__linearalgebra</span>
 <span class="n">__all__</span> <span class="o">+=</span> <span class="n">__all__logic</span>
 <span class="n">__all__</span> <span class="o">+=</span> <span class="n">__all__manipulation</span>

_modules/dpnp/dpnp_iface_arraycreation.html

@@ -14,14 +14,14 @@
     </script>
 
   <meta name="viewport" content="width=device-width, initial-scale=1.0" />
-  <title>dpnp.dpnp_iface_arraycreation &mdash; Data Parallel Extension for NumPy 0.19.0dev3+29.g25b7466c354 documentation</title>
+  <title>dpnp.dpnp_iface_arraycreation &mdash; Data Parallel Extension for NumPy 0.19.0dev4+1.g879a6292cc8 documentation</title>
       <link rel="stylesheet" type="text/css" href="../../_static/pygments.css?v=03e43079" />
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       <script src="../../_static/_sphinx_javascript_frameworks_compat.js?v=2cd50e6c"></script>
-      <script src="../../_static/documentation_options.js?v=501b3194"></script>
+      <script src="../../_static/documentation_options.js?v=aa9e9824"></script>
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_modules/dpnp/dpnp_iface_bitwise.html

@@ -14,14 +14,14 @@
     </script>
 
   <meta name="viewport" content="width=device-width, initial-scale=1.0" />
-  <title>dpnp.dpnp_iface_bitwise &mdash; Data Parallel Extension for NumPy 0.19.0dev3+29.g25b7466c354 documentation</title>
+  <title>dpnp.dpnp_iface_bitwise &mdash; Data Parallel Extension for NumPy 0.19.0dev4+1.g879a6292cc8 documentation</title>
       <link rel="stylesheet" type="text/css" href="../../_static/pygments.css?v=03e43079" />
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       <script src="../../_static/_sphinx_javascript_frameworks_compat.js?v=2cd50e6c"></script>
-      <script src="../../_static/documentation_options.js?v=501b3194"></script>
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@@ -122,8 +122,9 @@ <h1>Source code for dpnp.dpnp_iface_bitwise</h1><div class="highlight"><pre>
 
 <span class="sd">&quot;&quot;&quot;</span>
 
-<span class="c1"># pylint: disable=protected-access</span>
+<span class="c1"># pylint: disable=duplicate-code</span>
 <span class="c1"># pylint: disable=no-name-in-module</span>
+<span class="c1"># pylint: disable=protected-access</span>
 
 <span class="kn">import</span><span class="w"> </span><span class="nn">dpctl.tensor._tensor_elementwise_impl</span><span class="w"> </span><span class="k">as</span><span class="w"> </span><span class="nn">ti</span>
 <span class="kn">import</span><span class="w"> </span><span class="nn">numpy</span>

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     </script>
 
   <meta name="viewport" content="width=device-width, initial-scale=1.0" />
-  <title>dpnp.dpnp_iface_counting &mdash; Data Parallel Extension for NumPy 0.19.0dev3+29.g25b7466c354 documentation</title>
+  <title>dpnp.dpnp_iface_counting &mdash; Data Parallel Extension for NumPy 0.19.0dev4+1.g879a6292cc8 documentation</title>
       <link rel="stylesheet" type="text/css" href="../../_static/pygments.css?v=03e43079" />
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   <meta name="viewport" content="width=device-width, initial-scale=1.0" />
-  <title>dpnp.dpnp_iface_functional &mdash; Data Parallel Extension for NumPy 0.19.0dev3+29.g25b7466c354 documentation</title>
+  <title>dpnp.dpnp_iface_functional &mdash; Data Parallel Extension for NumPy 0.19.0dev4+1.g879a6292cc8 documentation</title>
       <link rel="stylesheet" type="text/css" href="../../_static/pygments.css?v=03e43079" />
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     </script>
 
   <meta name="viewport" content="width=device-width, initial-scale=1.0" />
-  <title>dpnp.dpnp_iface_histograms &mdash; Data Parallel Extension for NumPy 0.19.0dev3+29.g25b7466c354 documentation</title>
+  <title>dpnp.dpnp_iface_histograms &mdash; Data Parallel Extension for NumPy 0.19.0dev4+1.g879a6292cc8 documentation</title>
       <link rel="stylesheet" type="text/css" href="../../_static/pygments.css?v=03e43079" />
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+      <script src="../../_static/documentation_options.js?v=aa9e9824"></script>
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