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diff --git a/ethosu/vela/lut.py b/ethosu/vela/lut.py
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+# Copyright (C) 2020 Arm Limited or its affiliates. All rights reserved.
+#
+# SPDX-License-Identifier: Apache-2.0
+#
+# Licensed under the Apache License, Version 2.0 (the License); you may
+# not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an AS IS BASIS, WITHOUT
+# WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+# Description:
+# Functionality for lookup table support.
+import uuid
+from functools import lru_cache
+
+from . import numeric_util
+from .high_level_command_stream import CommandType
+from .tensor import TensorPurpose
+
+
+@lru_cache(maxsize=None)
+def create_equivalence_id(key):
+    # Generates equivalence_id based on key.
+    # The DMA optimization of LUT-s assumes that 2 LUT tensors are identical
+    # if they have the same equivalence_id.
+    # So for example all created 256-byte tanh LUT tensors should have
+    # the same equivalence id.
+    return uuid.uuid4()
+
+
+class LUTState:
+    # Tracks which LUT-s are located in SHRAM.
+    def __init__(self):
+        self.tensors = []
+
+    def get_equivalent(self, lut_tens):
+        # Returns existing lut with same equivalence id, None if not found
+        for t in self.tensors:
+            if t.equivalent(lut_tens):
+                return t
+        return None
+
+    def put(self, lut_tens):
+        # Returns new LUT state containing given tensor + all tensors in this state
+        # that do not overlap with the given tensor
+        new_state = LUTState()
+        new_state.tensors.append(lut_tens)
+        start = lut_tens.address
+        end = start + lut_tens.storage_size()
+        for tens in self.tensors:
+            start2 = tens.address
+            end2 = start2 + tens.storage_size()
+            if not numeric_util.overlaps(start, end, start2, end2):
+                new_state.tensors.append(tens)
+        return new_state
+
+    def find_best_address(self, start, stop, step):
+        # Finds the address in the given range that overlaps with the minimum number of
+        # currently present LUT-s.
+        # An improvement would be to also take future LUT usage into account
+        best_addr = start
+        best_nr_overlaps = stop
+        for addr in range(start, stop, step):
+            nr_overlaps = 0
+            for tens in self.tensors:
+                start2 = tens.address
+                end2 = start2 + tens.storage_size()
+                if numeric_util.overlaps(addr, addr + step, start2, end2):
+                    nr_overlaps += 1
+            if nr_overlaps < best_nr_overlaps:
+                best_nr_overlaps = nr_overlaps
+                best_addr = addr
+        return best_addr
+
+
+def get_lut_index(arch, lut_tensor):
+    # Returns the index in SHRAM where the given LUT is stored, a value between 0 and 8
+    slot = (lut_tensor.address - arch.shram_lut_address) // lut_tensor.storage_size()
+    assert 0 <= slot < 8
+    return slot
+
+
+def optimize_high_level_cmd_stream(sg, arch):
+    # - Allocates SHRAM address/lut index to LUT tensors
+    # - Removes unnecessary DMA operations of LUT-s that are already present in SHRAM from sg's command stream
+    cmd_stream = []  # will contain existing command stream minus unneeded DMA operations
+    lut_state = LUTState()
+    slot_size = 256
+    lut_start = arch.shram_lut_address
+    lut_end = lut_start + arch.shram_lut_size
+    for cmd in sg.high_level_command_stream:
+        if cmd.cmdtype == CommandType.NpuStripe and cmd.ps.lut_tensor is None and arch.shram_reserved_unused_banks == 0:
+            # The command overwrites the last 2 banks containing the LUT; next LUT operation will require DMA
+            # TODO: check the command's SHRAM usage in more detail to determine if the LUT is overwritten or not
+            lut_state = LUTState()
+        if cmd.cmdtype != CommandType.DMA or cmd.out_tensor.purpose != TensorPurpose.LUT:
+            # Non-LUT operation; leave untouched
+            cmd_stream.append(cmd)
+            continue
+        # LUT DMA operation
+        lut_tens = cmd.out_tensor
+        existing_tens = lut_state.get_equivalent(lut_tens)
+        if existing_tens is not None:
+            # LUT is already in SHRAM, no need to perform DMA
+            lut_tens.address = existing_tens.address
+            cmd.ps.primary_op.attrs["lut_index"] = get_lut_index(arch, existing_tens)
+            continue
+        # Place the LUT in the last 2 blocks of SHRAM
+        # Alignment is always on the size of the LUT, 256 for 256-byte LUT, 1K for 1K LUT, etc
+        address = lut_state.find_best_address(lut_start, lut_end, lut_tens.storage_size())
+        lut_tens.address = address
+        cmd.ps.primary_op.attrs["lut_index"] = (address - lut_start) // slot_size
+        lut_state = lut_state.put(lut_tens)
+        cmd_stream.append(cmd)
+    sg.high_level_command_stream = cmd_stream