| # 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: |
| # Compresses and pads the weigths. It also calculates the scales and packs with the biases. |
| import math |
| from collections import namedtuple |
| |
| import numpy as np |
| |
| from .architecture_features import Accelerator |
| from .architecture_features import ArchitectureFeatures |
| from .data_type import DataType |
| from .errors import UnsupportedFeatureError |
| from .nn_graph import SchedulingStrategy |
| from .numeric_util import round_up |
| from .numeric_util import round_up_divide |
| from .operation import NpuBlockType |
| from .scaling import quantise_scale |
| from .scaling import reduced_quantise_scale |
| from .tensor import TensorBlockTraversal |
| from .tensor import TensorFormat |
| from .tensor import TensorPurpose |
| from .tensor import TensorSubPurpose |
| from ethosu import mlw_codec |
| |
| |
| # Contains meta info for a weight compression. If two tensors have identical weight compression config, |
| # then they also will have identical compressed weights. |
| WeightCompressionConfig = namedtuple( |
| "WeightCompressionConfig", ["npu_block_type", "ofm_block_depth", "ofm_depth_step", "dilation", "equivalence_id"] |
| ) |
| |
| |
| def encode_weights( |
| accelerator: Accelerator, |
| weights_volume: np.ndarray, |
| dilation_xy: tuple, |
| ifm_bitdepth: int, |
| ofm_block_depth: int, |
| is_depthwise: bool, |
| is_partkernel: bool, |
| ): |
| """ |
| Public facing API to use the ethosu weight encoding. |
| |
| :param accelerator: architecture_features.Accelerator enum to pick the correct ethosu accelerator |
| :param weights_volume: numpy.ndarray in OHWI layout with a shape of four |
| :param dilation_xy: a two element tuple of dilation attributes in x,y dimension |
| :param ifm_bitdepth: the bitdepth of input feature map |
| :param ofm_block_depth: the depth of blocks for ethosu processing |
| :param is_depthwise: a boolean indicating these weights are used for a depthwise traversal |
| :param is_partkernel: a boolean indicating these weights are traversed on sub-kernal basis |
| :return: a bytearray of compressed weights |
| """ |
| |
| # Check arg types |
| assert isinstance(accelerator, Accelerator) |
| assert isinstance(weights_volume, np.ndarray) |
| assert isinstance(dilation_xy, tuple) |
| assert isinstance(ifm_bitdepth, int) |
| assert isinstance(ofm_block_depth, int) |
| assert isinstance(is_depthwise, bool) |
| assert isinstance(is_partkernel, bool) |
| |
| # Checks for weight layout |
| assert len(weights_volume.shape) == 4, "weights ndarray should have a shape of 4" |
| |
| # It cannot be both partkernel and depthwise |
| assert not (is_depthwise and is_partkernel), "encode_weights :: partkernel and depthwise are mutually exclusive" |
| |
| # Check valid values for dilation |
| assert dilation_xy[0] in (1, 2), "encode_weights :: dilation x should be 1 or 2 not {}".format(dilation_xy[0]) |
| assert dilation_xy[1] in (1, 2), "encode_weights :: dilation y should be 1 or 2 not {}".format(dilation_xy[1]) |
| |
| ifm_ublock = ArchitectureFeatures.accelerator_configs[accelerator].ifm_ublock |
| ofm_ublock = ArchitectureFeatures.accelerator_configs[accelerator].ofm_ublock |
| raw_stream = generate_brick( |
| ifm_ublock=ifm_ublock, |
| ofm_ublock=ofm_ublock, |
| brick_weights=weights_volume, |
| ofm_block_depth=ofm_block_depth, |
| is_depthwise=is_depthwise, |
| is_partkernel=is_partkernel, |
| ifm_bitdepth=ifm_bitdepth, |
| dilation=dilation_xy, |
| ) |
| encoded_stream = encode(raw_stream) |
| return encoded_stream |
| |
| |
| def encode_bias(bias: np.int64, scale: int, shift: int): |
| """ |
| Public facing API to pack bias and scale values as required by the hardware |
| :param bias: 64bit signed number that includes 40bit signed bias |
| :param scale: 32bit scale value |
| :param shift: 6bit shift value |
| :return: packed 80bit [0(2-bits),shift(6-bits),scale(32-bits),bias(40-bits)] |
| """ |
| # Check arg types |
| assert isinstance(bias, np.int64) |
| assert isinstance(scale, int) |
| assert isinstance(shift, int) |
| |
| assert -(1 << (40 - 1)) <= bias < (1 << (40 - 1)) # signed 40-bit range |
| assert 0 <= scale < (1 << 32) # unsigned 32-bit range |
| assert 0 <= shift < (1 << 6) # unsigned 6-bit range |
| |
| data = bytearray(10) |
| data[0] = (bias >> (0 * 8)) & 0xFF |
| data[1] = (bias >> (1 * 8)) & 0xFF |
| data[2] = (bias >> (2 * 8)) & 0xFF |
| data[3] = (bias >> (3 * 8)) & 0xFF |
| data[4] = (bias >> (4 * 8)) & 0xFF |
| data[5] = (scale >> (0 * 8)) & 0xFF |
| data[6] = (scale >> (1 * 8)) & 0xFF |
| data[7] = (scale >> (2 * 8)) & 0xFF |
| data[8] = (scale >> (3 * 8)) & 0xFF |
| data[9] = shift & 0x3F |
| return data |
| |
| |
| def create_weight_compression_config(tens, npu_block_type, ofm_block_depth, ofm_depth_step, dilation): |
| # Note: for an ofm block only its depth is used in weight compression. |
| # And block depth > ofm depth gives same result as block depth == ofm depth |
| block_depth = min(ofm_block_depth, tens.quant_values.shape[-1]) |
| return WeightCompressionConfig(npu_block_type, block_depth, ofm_depth_step, dilation, tens.equivalence_id) |
| |
| |
| def set_storage_shape(tens): |
| # Sets the storage shape depending on the tensor's sub purpose |
| if tens.sub_purpose == TensorSubPurpose.DoubleBuffer and len(tens.compressed_values) > 2: |
| offset = 2 * np.amax([len(x) for x in tens.compressed_values]) |
| assert offset % 16 == 0 |
| else: |
| offset = tens.weight_compressed_offsets[-1] |
| tens.storage_shape = [1, 1, 1, offset] |
| |
| |
| class CompressedWeightCache: |
| # Contains weight compressions for all weight tensors in a graph |
| def __init__(self): |
| self.cache = {} # maps from WeightCompressionConfig to a tensor clone containing compressed weights |
| |
| def get_tensor_with_same_compression(self, wcc): |
| return self.cache.get(wcc) |
| |
| def add(self, tens): |
| # Adds the compressed weights from the tensor to the cache |
| wcc = tens.weight_compression_config |
| # Clone the tensor to make sure that nothing related to the weight compression is modified |
| tens_clone = tens.clone("_weights{}_{}".format(wcc.ofm_block_depth, wcc.ofm_depth_step)) |
| self.cache[wcc] = tens_clone |
| |
| |
| def encode(weight_stream): |
| if len(weight_stream) == 0: |
| return [] |
| assert np.amin(weight_stream) >= -255 |
| assert np.amax(weight_stream) <= 255 |
| |
| # Encode flattened signed weight stream |
| compressed = mlw_codec.encode(weight_stream) |
| |
| # pad with 0xFF as needed so the length of the weight stream |
| # is a multiple of 16 |
| |
| while (len(compressed) % 16) != 0: |
| compressed.append(0xFF) |
| |
| return compressed |
| |
| |
| def generate_brick( |
| ifm_ublock, ofm_ublock, brick_weights, ofm_block_depth, is_depthwise, is_partkernel, ifm_bitdepth, dilation |
| ): |
| |
| decomp_h = ArchitectureFeatures.SubKernelMax.height // dilation[0] |
| decomp_w = ArchitectureFeatures.SubKernelMax.width // dilation[1] |
| # Expect weights formatted OHWI |
| ofm_depth = brick_weights.shape[-4] |
| ifm_depth = brick_weights.shape[-1] |
| kernel_width = brick_weights.shape[-2] |
| kernel_height = brick_weights.shape[-3] |
| # IFM block depth |
| if is_partkernel or (ifm_bitdepth == 16): |
| # IFM block depth is always 16 for part-kernel-first |
| ifm_block_depth = 16 |
| elif ifm_bitdepth == 8: |
| ifm_block_depth = 32 |
| else: |
| assert False |
| |
| stream = [] |
| |
| # Top level striping - OFM blocks in the entire brick's depth |
| for ofm_block_z in range(0, ofm_depth, ofm_block_depth): |
| clipped_ofm_block_depth = min(ofm_block_depth, ofm_depth - ofm_block_z) |
| # IFM blocks required for the brick |
| for ifm_block_z in range(0, (1 if is_depthwise else ifm_depth), ifm_block_depth): |
| if is_depthwise: |
| clipped_ifm_block_depth = ifm_ublock.depth |
| else: |
| clipped_ifm_block_depth = ( |
| min(ifm_block_depth, ifm_depth - ifm_block_z) if is_partkernel else ifm_block_depth |
| ) |
| # Weight decomposition |
| # Subkernel Splitting (H) |
| for subkernel_y in range(0, kernel_height, decomp_h): |
| sub_height = min(kernel_height - subkernel_y, decomp_h) |
| # Subkernel splitting (W) |
| for subkernel_x in range(0, kernel_width, decomp_w): |
| sub_width = min(kernel_width - subkernel_x, decomp_w) |
| subkernel_elements = sub_width * sub_height |
| # Part kernel first works across the kernel H/W and needs padding |
| if is_partkernel: |
| if ifm_bitdepth == 16 and subkernel_elements % 2 != 0: |
| subkernel_elements = int(math.ceil(subkernel_elements / 2) * 2) |
| elif ifm_bitdepth == 8 and subkernel_elements % 4 != 0: |
| subkernel_elements = int(math.ceil(subkernel_elements / 4) * 4) |
| |
| # Depthwise Conv requires multiple of 4 kernel elements in its weight block |
| # this is different from normal conv which is considered "weights depth-first" |
| elif is_depthwise: |
| subkernel_elements = int(math.ceil(subkernel_elements / 4.0) * 4) |
| |
| ifm_block_depth_outer = clipped_ifm_block_depth if is_partkernel else 1 |
| ifm_block_depth_inner = 1 if is_partkernel else clipped_ifm_block_depth |
| # IFM Ublocks in IFM-block over depth for part-kernel-first mode |
| # For depth-first IFM Ublocks are traversed after subkernel elements so this loop is ignored. |
| for ifm_ublk_outer in range(0, ifm_block_depth_outer, ifm_ublock.depth): |
| # OFM Ublocks in OFM-block over depth |
| for ofm_ublk in range(0, clipped_ofm_block_depth, ofm_ublock.depth): |
| # HW Kernel element traversal - cannot be a H/W loop due to element |
| # padding requirement on depthwise/part-kernel configurations |
| for element in range(subkernel_elements): |
| kx = element % sub_width |
| ky = element // sub_width |
| # IFM Ublocks in IFM-block over depth (only 1 ublock if depthwise) |
| # In case of part-kernel-first IFM Ublock traversal have already been handled |
| # and this loop is ignored. |
| for ifm_ublk_inner in range(0, ifm_block_depth_inner, ifm_ublock.depth): |
| # Feed OFM ublock elements |
| for ofm_ublock_z in range(ofm_ublock.depth): |
| # Source IFM ublock elements (only 1 element deep if depthwise) |
| for ifm_ublock_z in range(1 if is_depthwise else ifm_ublock.depth): |
| # Source position within the current subkernel |
| wx = subkernel_x + kx |
| wy = subkernel_y + ky |
| # Source IFM/OFM slices |
| ifm_ublk = ifm_ublk_inner + ifm_ublk_outer |
| ifm_z = ifm_block_z + ifm_ublk + ifm_ublock_z |
| ofm_z = ofm_block_z + ofm_ublk + ofm_ublock_z |
| if (ifm_z >= ifm_depth) or (ofm_z >= ofm_depth) or (ky >= sub_height): |
| stream.append(0) |
| else: |
| stream.append(brick_weights[ofm_z][wy][wx][ifm_z]) |
| return stream |
| |
| |
| def core_deinterleave(hwio, core, ncores): |
| # Put weights back into OHWI |
| ohwi = np.transpose(hwio, (3, 0, 1, 2)) |
| return ohwi[core : ohwi.shape[0] : ncores] |
| |
| |
| # Compress the weights |
| def compress_weights(arch, nng, tens, npu_block_type, ofm_block_depth, ofm_depth_step, dilation): |
| assert tens.purpose == TensorPurpose.Weights |
| assert tens.format == TensorFormat.WeightsCompressed |
| |
| # Check the weight cache |
| if nng.weight_cache is None: |
| nng.weight_cache = CompressedWeightCache() |
| wcc = create_weight_compression_config(tens, npu_block_type, ofm_block_depth, ofm_depth_step, dilation) |
| tens.weight_compression_config = wcc |
| tens_cached = nng.weight_cache.get_tensor_with_same_compression(wcc) |
| if tens_cached is not None: |
| # Cache hit, copy weights from the cache |
| tens.copy_compressed_weight_info(tens_cached) |
| set_storage_shape(tens) |
| return |
| |
| # No cache hit, perform the compression |
| assert tens.quantization is not None |
| assert tens.quantization.scale_f32 is not None |
| assert tens.quantization.zero_point is not None |
| |
| zero_point = tens.quantization.zero_point |
| quant_buf = tens.quant_values.astype(np.int64) |
| |
| # Early zero-point correction |
| weights = quant_buf - zero_point |
| |
| if len(weights.shape) == 2: |
| weights = np.expand_dims(np.expand_dims(weights, axis=0), axis=0) |
| |
| compression_scales = [] |
| compressed_offsets = [] |
| encoded_streams = [] |
| encoded_streams_substream_offsets = [] |
| offset = 0 |
| max_single_buffer_len = 0 |
| |
| ifm_bitdepth = tens.consumer_list[0].inputs[0].dtype.size_in_bits() |
| ifm_depth = weights.shape[-2] |
| if npu_block_type == NpuBlockType.ConvolutionDepthWise: |
| tens.block_traversal = TensorBlockTraversal.DepthWise |
| if npu_block_type == NpuBlockType.ConvolutionMxN: |
| # Determine which block traversal strategy has better DPU utilization |
| kernel_size = weights.shape[0] * weights.shape[1] |
| depth_utilization = weights.shape[2] / round_up(weights.shape[2], 32 if ifm_bitdepth == 8 else 16) |
| part_kernel_utilization = (weights.shape[2] / round_up(weights.shape[2], 8)) * ( |
| kernel_size / round_up(kernel_size, 4 if ifm_bitdepth == 8 else 2) |
| ) |
| if part_kernel_utilization >= depth_utilization or ifm_depth <= 8: |
| # Part-kernel first is always better for ifm depths <= 8 |
| tens.block_traversal = TensorBlockTraversal.PartKernelFirst |
| else: |
| tens.block_traversal = TensorBlockTraversal.DepthFirst |
| |
| is_depthwise = tens.block_traversal == TensorBlockTraversal.DepthWise |
| is_partkernel = tens.block_traversal == TensorBlockTraversal.PartKernelFirst |
| |
| if tens.consumer_list[0].type == "Conv2DBackpropInputSwitchedBias": |
| # Transpose Convoluion, reverse weights in H and W axes |
| weights = np.flip(weights, axis=(0, 1)) |
| |
| # Calculate brick size |
| brick_size = (weights.shape[0], weights.shape[1], weights.shape[2], min(tens.shape[-1], ofm_depth_step)) |
| elements_in_brick = np.prod(brick_size) |
| |
| # Slice weight stream up depth-ways into bricks and compress |
| full_ofm_depth = quant_buf.shape[-1] |
| for idx in range(0, full_ofm_depth, ofm_depth_step): |
| # Get the weights necessary for this brick |
| count = min(full_ofm_depth - idx, ofm_depth_step) |
| brick_weights = weights[:, :, :, idx : idx + count] |
| |
| substream_offsets = [0] |
| encoded_stream = [] |
| |
| # For each core, deinterleave weights from the larger volume |
| # and generate separate compressed streams. |
| for core in range(0, min(arch.ncores, full_ofm_depth)): |
| core_weights = core_deinterleave(brick_weights, core, arch.ncores) |
| |
| block_depth = (ofm_block_depth + arch.ncores - 1 - core) // arch.ncores |
| encoded_substream = [] |
| if block_depth != 0: |
| encoded_substream = encode_weights( |
| accelerator=arch.accelerator_config, |
| weights_volume=core_weights, |
| dilation_xy=dilation, |
| ifm_bitdepth=ifm_bitdepth, |
| ofm_block_depth=block_depth, |
| is_depthwise=is_depthwise, |
| is_partkernel=is_partkernel, |
| ) |
| encoded_stream.extend(encoded_substream) |
| substream_offsets.append(len(encoded_stream)) |
| |
| encoded_streams.append(encoded_stream) |
| encoded_streams_substream_offsets.append(substream_offsets) |
| |
| # Remember maximum encoded length for DoubleBuffering |
| max_single_buffer_len = max(max_single_buffer_len, len(encoded_stream)) |
| |
| # Remember where we put it for linear addressing |
| compressed_offsets.append(offset) |
| offset += len(encoded_stream) |
| assert offset % 16 == 0 |
| |
| # Compression scale tracking |
| compression_scales.append(len(encoded_stream) / elements_in_brick) |
| |
| # Track total length as last element of the offsets array |
| compressed_offsets.append(offset) |
| |
| tens.weight_compression_scales = compression_scales |
| tens.weight_compressed_offsets = compressed_offsets |
| tens.compression_scale_for_worst_weight_stream = np.amax(compression_scales) |
| tens.storage_compression_scale = tens.bandwidth_compression_scale = np.average(compression_scales) |
| tens.compressed_values = encoded_streams |
| tens.compressed_values_substream_offsets = encoded_streams_substream_offsets |
| tens.brick_size = brick_size |
| set_storage_shape(tens) |
| nng.weight_cache.add(tens) |
| |
| |
| def calc_scales_and_pack_biases(tens, arch, ofm_depth_step, rescale_for_faf=False): |
| assert tens.purpose == TensorPurpose.FeatureMap |
| assert tens.format == TensorFormat.NHWC |
| # the connected operator should expect a bias input unless it is a FullyConnected |
| assert "Bias" in tens.consumer_list[0].type or tens.consumer_list[0].type.startswith("FullyConnected") |
| # the input bias tensor is the same as that connected to the operator |
| _, _, bias_tens, _ = tens.consumer_list[0].get_ifm_weights_biases_ofm() |
| assert tens is bias_tens |
| |
| # the operator should only have a single output |
| assert len(tens.consumer_list[0].outputs) == 1 |
| biases = tens.quant_values |
| |
| first_consumer_op = tens.consumer_list[0] |
| ifm_dtype = first_consumer_op.inputs[0].dtype |
| ifm_scale = first_consumer_op.inputs[0].quantization.scale_f32 |
| ofm_scale = first_consumer_op.outputs[0].quantization.scale_f32 |
| weight_scales = first_consumer_op.inputs[1].quantization.scale_f32 |
| |
| # biases can have multiple consumers for rnn cells. if so, then check that they are all the same |
| for op in tens.consumer_list[1:]: |
| assert ifm_scale == op.inputs[0].quantization.scale_f32 |
| assert ofm_scale == op.outputs[0].quantization.scale_f32 |
| assert weight_scales == op.inputs[1].quantization.scale_f32 |
| |
| if not hasattr(weight_scales, "__iter__"): |
| # If weight_scales is not already an iterable make it into a list |
| weight_scales = [weight_scales] |
| |
| # Convert scales to np.double (from np.float32) to conform to TensorFlow Lite which |
| # uses double during scaling calculations |
| # TensorFlow Lite casts the scales slightly differently for uint8 and int8 |
| if not rescale_for_faf: |
| if ifm_dtype == DataType.uint8: |
| scales = [np.double(ifm_scale * weight_scale) / np.double(ofm_scale) for weight_scale in weight_scales] |
| elif ifm_dtype == DataType.int8 or ifm_dtype == DataType.int16: |
| scales = [ |
| (np.double(ifm_scale) * np.double(weight_scale)) / np.double(ofm_scale) |
| for weight_scale in weight_scales |
| ] |
| else: |
| raise UnsupportedFeatureError( |
| "Compression of {} is not implemented; tensor: {}".format(ifm_dtype, tens.name) |
| ) |
| else: |
| if ifm_dtype == DataType.uint8: |
| scales = [np.double(ifm_scale * weight_scale * 0x3000) for weight_scale in weight_scales] |
| elif ifm_dtype == DataType.int8 or ifm_dtype == DataType.int16: |
| scales = [(np.double(ifm_scale * 0x3000) * np.double(weight_scale)) for weight_scale in weight_scales] |
| else: |
| raise UnsupportedFeatureError( |
| "Compression of {} is not implemented; tensor: {}".format(ifm_dtype, tens.name) |
| ) |
| |
| # quantise all of the weight scales into (scale_factor, shift) |
| if ifm_dtype == DataType.int16: |
| quantised_scales = [reduced_quantise_scale(scale) for scale in scales] |
| else: |
| quantised_scales = [quantise_scale(scale) for scale in scales] |
| |
| # pack the biases and scales |
| if len(quantised_scales) == 1: |
| # If only 1 quantised scale is used, repeat that value for the length of the biases |
| quantised_scales = [quantised_scales[0]] * len(biases) |
| |
| assert len(quantised_scales) == len(biases) |
| tens.element_size_bytes = 10 |
| tens.compressed_values = [] |
| tens.compressed_values_substream_offsets = [] |
| |
| total_elements = len(quantised_scales) |
| alignment_bytes = 0 |
| for i in range(0, total_elements, ofm_depth_step): |
| # Extract streams from brick to generate substreams for each core |
| stream = bytearray() |
| substream_offsets = [0] |
| max_len = min(ofm_depth_step, total_elements - i) |
| for core in range(0, min(arch.ncores, max_len)): |
| core_scales = quantised_scales[i + core : i + core + max_len : arch.ncores] |
| core_biases = biases[i + core : i + core + max_len : arch.ncores] |
| for j, core_bias in enumerate(core_biases): |
| stream.extend(encode_bias(np.int64(core_bias), *core_scales[j])) |
| |
| # Align to 16 for start for next substream |
| remainder = (len(stream)) % 16 |
| if remainder > 0: |
| stream.extend(bytearray(16 - remainder)) |
| alignment_bytes += 16 - remainder |
| |
| substream_offsets.append(len(stream)) |
| |
| # Add to compressed values with their substream offset lists to the tensor |
| tens.compressed_values.append(stream) |
| tens.compressed_values_substream_offsets.append(substream_offsets) |
| |
| tens.storage_shape = [total_elements + round_up_divide(alignment_bytes, tens.element_size_bytes)] |
| |
| |
| def update_pass_weight_and_scale_tensors(nng, arch): |
| for sg in nng.subgraphs: |
| for ps in sg.passes: |
| tens = ps.weight_tensor |
| if tens is not None: |
| op = tens.find_npu_op() |
| if op is None: |
| continue |
| npu_usage_of_tensor = op.attrs["npu_block_type"] |
| needs_dma = tens.needs_dma() |
| if ps.cascade.strategy == SchedulingStrategy.WeightStream and needs_dma: |
| ofm_depth_step = ps.block_config[-1] |
| else: |
| ofm_depth_step = tens.shape[-1] |
| compress_weights( |
| arch, nng, tens, npu_usage_of_tensor, ps.block_config[-1], ofm_depth_step, op.get_dilation_h_w() |
| ) |
| # Update source tensor |
| if needs_dma: |
| src_tens = tens.get_dma_src_tensor() |
| src_tens.shape = tens.shape |
| src_tens.quant_values = tens.quant_values |
| src_tens.copy_compressed_weight_info(tens) |
| set_storage_shape(src_tens) |
| |
| if ps.scale_tensor is not None: |
| rescale_for_faf = False |
| activation_ops = set(("Sigmoid", "Tanh")) |
| if (ps.ops[-1].type in activation_ops) and (ps.npu_block_type != NpuBlockType.ElementWise): |
| rescale_for_faf = True |
| calc_scales_and_pack_biases(ps.scale_tensor, arch, ofm_depth_step, rescale_for_faf) |