# Copyright (c) 2022 PaddlePaddle Authors. All Rights Reserved. # # 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 # # http://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. import math import paddle from paddle.autograd import PyLayer from paddle.framework import ParamAttr from paddle.nn.initializer import Constant from paddle.utils import unique_name from ..layer.layers import Layer def round(x): sign = paddle.sign(x) x = sign * paddle.floor(paddle.abs(x) + 0.5) return x class LsqFunc(PyLayer): @staticmethod def forward(ctx, weight, alpha, g, Qn, Qp, per_channel=False, quant_axis=0): ctx.save_for_backward(weight, alpha) ctx.other = g, Qn, Qp, per_channel, quant_axis if per_channel: sizes = weight.shape weight = weight.reshape((weight.shape[quant_axis], -1)) weight = weight.transpose((1, 0)) alpha = paddle.broadcast_to(alpha, weight.shape) quant_w = round(paddle.divide(weight, alpha)).clip(Qn, Qp) quant_w = quant_w * alpha quant_w = quant_w.transpose((1, 0)) quant_w = quant_w.reshape(sizes) else: quant_w = round(paddle.divide(weight, alpha)).clip(Qn, Qp) quant_w = quant_w * alpha return quant_w @staticmethod def backward(ctx, grad_weight): weight, alpha = ctx.saved_tensor() g, Qn, Qp, per_channel, quant_axis = ctx.other if per_channel: sizes = weight.shape weight = weight.reshape((weight.shape[quant_axis], -1)) weight = weight.transpose((1, 0)) alpha = paddle.broadcast_to(alpha, weight.shape) q_w = paddle.divide(weight, alpha) q_w = q_w.transpose((1, 0)) q_w = q_w.reshape(sizes) else: q_w = paddle.divide(weight, alpha) lower_flag = paddle.cast((q_w < Qn), 'float32') upper_flag = paddle.cast((q_w > Qp), 'float32') middle_flag = 1.0 - lower_flag - upper_flag if per_channel: grad_alpha = ( ( lower_flag * Qn + upper_flag * Qp + middle_flag * round(q_w) - middle_flag * q_w ) * grad_weight * g ) grad_alpha = grad_alpha.reshape( (grad_alpha.shape[quant_axis], -1) ).sum(axis=1) else: grad_alpha = ( ( ( lower_flag * Qn + upper_flag * Qp + middle_flag * round(q_w) - middle_flag * q_w ) * grad_weight * g ) .sum() .unsqueeze(axis=0)[0] ) grad_weight = middle_flag * grad_weight return grad_weight, grad_alpha class LsqPlusActFunc(PyLayer): @staticmethod def forward(ctx, x, alpha, beta, g, Qn, Qp): ctx.save_for_backward(x, alpha, beta) ctx.other = g, Qn, Qp quant_x = round(paddle.divide((x - beta), alpha)).clip(Qn, Qp) return quant_x * alpha + beta @staticmethod def backward(ctx, grad_x): x, alpha, beta = ctx.saved_tensor() g, Qn, Qp = ctx.other q_x = (x - beta) / alpha lower_flag = paddle.cast((q_x < Qn), 'float32') upper_flag = paddle.cast((q_x > Qp), 'float32') middle_flag = 1.0 - lower_flag - upper_flag grad_alpha = ( ( ( lower_flag * Qn + upper_flag * Qp + middle_flag * round(q_x) - middle_flag * q_x ) * grad_x * g ) .sum() .unsqueeze(axis=0)[0] ) grad_beta = ( ((lower_flag + upper_flag) * grad_x * g).sum().unsqueeze(axis=0)[0] ) grad_x = middle_flag * grad_x return grad_x, grad_alpha, grad_beta class FakeQuantActLSQPlus(Layer): def __init__( self, quant_bits, all_positive=False, symmetric=False, batch_init=20, dtype='float32', name=None, reduce_type=None, ): super().__init__() ''' Args: quant_bits(int): quantization bit number for weights. all_positive(bool): whether unsigned or signed quantization, where True for unsigned quantization and False for signed quantization. symmetric(bool): whether symmetric or asymmetric quantization. batch_init(int): number of batches that collect Gaussian approximation for the weight distribution in each layer. dtype(str): data type. name(str): the name of the weight. reduce_type(str): the reduce type which is needed when parallel training. ''' self.bits = quant_bits self.all_positive = all_positive self.symmetric = symmetric self.batch_init = batch_init self.name = name self.reduce_type = reduce_type if self.all_positive: # unsigned activation self.Qn = 0 self.Qp = 2**self.bits - 1 else: # signed activation self.Qn = -(2 ** (self.bits - 1)) self.Qp = 2 ** (self.bits - 1) - 1 scale_prefix = f"{name}.scale" if name else 'quant_dequant.scale' self._scale_name = unique_name.generate(scale_prefix) s_attr = ParamAttr( name=self._scale_name, initializer=Constant(1.0), trainable=True ) self.s = self.create_parameter(shape=[], attr=s_attr, dtype='float32') self.s.stop_gradient = False if not self.symmetric: beta_prefix = f"{name}.beta" if name else 'quant_dequant.beta' self._beta_name = unique_name.generate(beta_prefix) beta_attr = ParamAttr( name=self._beta_name, initializer=Constant(0.0), trainable=True ) self.beta = self.create_parameter( shape=[], attr=beta_attr, dtype='float32' ) self.beta.stop_gradient = False self.init_state = 0 def forward(self, activation): if self.reduce_type == "max": paddle.distributed.all_reduce( self.s, op=paddle.distributed.ReduceOp.MAX ) if not self.symmetric and self.reduce_type == "max": paddle.distributed.all_reduce( self.beta, op=paddle.distributed.ReduceOp.MAX ) if self.init_state == 0: self.g = paddle.to_tensor( 1.0 / math.sqrt(activation.numel() * self.Qp) ) min_a = paddle.min(activation.detach()) max_a = paddle.max(activation.detach()) self.s.set_value((max_a - min_a) / (self.Qp - self.Qn)) if not self.symmetric: self.beta.set_value(min_a - self.s * self.Qn) self.init_state += 1 elif self.init_state < self.batch_init: min_a = paddle.min(activation.detach()) max_a = paddle.max(activation.detach()) self.s.set_value( self.s * 0.9 + 0.1 * (max_a - min_a) / (self.Qp - self.Qn) ) if not self.symmetric: self.beta.set_value( self.s * 0.9 + 0.1 * (min_a - self.s * self.Qn) ) self.init_state += 1 else: self.init_state += 1 activation.stop_gradient = False if not self.symmetric: q_a = LsqPlusActFunc.apply( activation, self.s, self.beta, self.g, self.Qn, self.Qp ) else: q_a = LsqFunc.apply( activation, self.s, self.g, self.Qn, self.Qp, per_channel=False ) return q_a class FakeQuantWeightLSQPlus(Layer): def __init__( self, quant_bits, all_positive=False, per_channel=False, batch_init=20, channel_num=None, quant_linear=False, dtype='float32', name=None, reduce_type=None, ): super().__init__() ''' Args: quant_bits(int): quantization bit number for weights. all_positive(bool): whether unsigned or signed quantization, where True for unsigned quantization and False for signed quantization. per_channel(bool): whether layer-wise or channel-wise quantization, where True for layer-wise quantization and False for channel-wise quantization. batch_init(int): number of batches that collect Gaussian approximation for the weight distribution in each layer. channel_num(int): the channel number of the weight which is needed when per_channel is True. quant_linear(bool): whether the weight is from Linear. dtype(str): data type. name(str): the name of the weight. reduce_type(str): the reduce type which is needed when parallel training. ''' self.bits = quant_bits self.all_positive = all_positive self.per_channel = per_channel self.quant_linear = quant_linear self.batch_init = batch_init self.name = name self.quant_axis = 1 if quant_linear else 0 self.collect_axis = 0 if quant_linear else 1 self.reduce_type = reduce_type if self.all_positive: # unsigned weight self.Qn = 0 self.Qp = 2**self.bits - 1 else: # signed weight self.Qn = -(2 ** (self.bits - 1)) self.Qp = 2 ** (self.bits - 1) - 1 self.init_state = 0 scale_prefix = f"{name}.scale" if name else 'quant_dequant.scale' self._scale_name = unique_name.generate(scale_prefix) s_attr = ParamAttr( name=self._scale_name, initializer=Constant(1.0), trainable=True ) self.s = self.create_parameter( shape=[channel_num], attr=s_attr, dtype=dtype ) self.s.stop_gradient = False def forward(self, weight): if self.reduce_type == "max": paddle.distributed.all_reduce( self.s, op=paddle.distributed.ReduceOp.MAX ) if self.init_state == 0: self.g = paddle.to_tensor(1.0 / math.sqrt(weight.numel() * self.Qp)) self.div = 2**self.bits - 1 if self.per_channel: weight_tmp = weight.detach().reshape((weight.shape[0], -1)) mean = paddle.mean(weight_tmp, axis=self.collect_axis) std = paddle.std(weight_tmp, axis=self.collect_axis) s = paddle.max( paddle.stack( [paddle.abs(mean - 3 * std), paddle.abs(mean + 3 * std)] ), axis=0, ) self.s.set_value(s / self.div) else: mean = paddle.mean(weight.detach()) std = paddle.std(weight.detach()) self.s.set_value( max( [paddle.abs(mean - 3 * std), paddle.abs(mean + 3 * std)] ) / self.div ) self.init_state += 1 elif self.init_state < self.batch_init: self.div = 2**self.bits - 1 if self.per_channel: weight_tmp = weight.detach().reshape((weight.shape[0], -1)) mean = paddle.mean(weight_tmp, axis=self.collect_axis) std = paddle.std(weight_tmp, axis=self.collect_axis) s = paddle.max( paddle.stack( [paddle.abs(mean - 3 * std), paddle.abs(mean + 3 * std)] ), axis=0, ) self.s.set_value(s * 0.9 + 0.1 * s / self.div) else: mean = paddle.mean(weight.detach()) std = paddle.std(weight.detach()) self.s.set_value( self.s * 0.9 + 0.1 * max( [paddle.abs(mean - 3 * std), paddle.abs(mean + 3 * std)] ) / self.div ) self.init_state += 1 elif self.init_state == self.batch_init: self.init_state += 1 weight.stop_gradient = False w_q = LsqFunc.apply( weight, self.s, self.g, self.Qn, self.Qp, self.per_channel, self.quant_axis, ) return w_q