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+"""
+/* Copyright (c) 2023 Amazon
+ Written by Jan Buethe */
+/*
+ Redistribution and use in source and binary forms, with or without
+ modification, are permitted provided that the following conditions
+ are met:
+
+ - Redistributions of source code must retain the above copyright
+ notice, this list of conditions and the following disclaimer.
+
+ - Redistributions in binary form must reproduce the above copyright
+ notice, this list of conditions and the following disclaimer in the
+ documentation and/or other materials provided with the distribution.
+
+ THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+ ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+ LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+ A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER
+ OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+ EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+ PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+ PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
+ LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
+ NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+ SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+"""
+
+import torch
+
+
+def find(a, v):
+ try:
+ idx = a.index(v)
+ except:
+ idx = -1
+ return idx
+
+def interleave_tensors(tensors, dim=-2):
+ """ interleave list of tensors along sequence dimension """
+
+ x = torch.cat([x.unsqueeze(dim) for x in tensors], dim=dim)
+ x = torch.flatten(x, dim - 1, dim)
+
+ return x
+
+def _interleave(x, pcm_levels=256):
+
+ repeats = pcm_levels // (2*x.size(-1))
+ x = x.unsqueeze(-1)
+ p = torch.flatten(torch.repeat_interleave(torch.cat((x, 1 - x), dim=-1), repeats, dim=-1), -2)
+
+ return p
+
+def get_pdf_from_tree(x):
+ pcm_levels = x.size(-1)
+
+ p = _interleave(x[..., 1:2])
+ n = 4
+ while n <= pcm_levels:
+ p = p * _interleave(x[..., n//2:n])
+ n *= 2
+
+ return p \ No newline at end of file