// Copyright (c) Facebook, Inc. and its affiliates. // All rights reserved. // // Copyright 2019 Google LLC // // This source code is licensed under the BSD-style license found in the // LICENSE file in the root directory of this source tree. #pragma once #include #include #include #include #include #include #include typedef int8_t (*xnn_qs8_requantize_fn)( int32_t input, float scale, int8_t output_zero_point, int8_t output_min, int8_t output_max); typedef uint8_t (*xnn_qu8_requantize_fn)( int32_t input, float scale, uint8_t output_zero_point, uint8_t output_min, uint8_t output_max); static inline int8_t xnn_qs8_requantize_fp32( int32_t input, float scale, int8_t zero_point, int8_t min, int8_t max) { assert(scale >= 1.0f / 4294967296.0f /* 0x1.0p-32f */); assert(scale < 256.0f); const float min_less_zero_point = (float) ((int32_t) min - (int32_t) zero_point); const float max_less_zero_point = (float) ((int32_t) max - (int32_t) zero_point); float scaled_input = (float) input * scale; scaled_input = math_max_f32(scaled_input, min_less_zero_point); scaled_input = math_min_f32(scaled_input, max_less_zero_point); const int32_t output = (int32_t) lrintf(scaled_input) + (int32_t) zero_point; return (int8_t) output; } static inline uint8_t xnn_qu8_requantize_fp32( int32_t input, float scale, uint8_t zero_point, uint8_t min, uint8_t max) { assert(scale >= 1.0f / 4294967296.0f /* 0x1.0p-32f */); assert(scale < 256.0f); const float min_less_zero_point = (float) ((int32_t) min - (int32_t) zero_point); const float max_less_zero_point = (float) ((int32_t) max - (int32_t) zero_point); float scaled_input = (float) input * scale; scaled_input = math_max_f32(scaled_input, min_less_zero_point); scaled_input = math_min_f32(scaled_input, max_less_zero_point); const int32_t output = (int32_t) lrintf(scaled_input) + (int32_t) zero_point; return (uint8_t) output; } static inline int8_t xnn_qs8_requantize_rndna( int32_t input, float scale, int8_t zero_point, int8_t min, int8_t max) { assert(scale >= 1.0f / 4294967296.0f /* 0x1.0p-32f */); assert(scale < 256.0f); const uint32_t scale_bits = float_as_uint32(scale); const uint32_t multiplier = (scale_bits & UINT32_C(0x007FFFFF)) | UINT32_C(0x00800000); const uint32_t shift = 127 + 23 - (scale_bits >> 23); assert(shift >= 16); assert(shift < 56); const uint64_t rounding = UINT64_C(1) << (shift - 1); const int32_t min_less_zero_point = (int32_t) min - (int32_t) zero_point; const int32_t max_less_zero_point = (int32_t) max - (int32_t) zero_point; uint32_t abs_input = (uint32_t) input; if (input < 0) { abs_input = -abs_input; } const uint64_t abs_prescaled_input = (uint64_t) abs_input * (uint64_t) multiplier; const uint32_t abs_scaled_input = (uint32_t) ((abs_prescaled_input + rounding) >> shift); int32_t output = (int32_t) abs_scaled_input; if (input < 0) { output = -output; } output = math_max_s32(output, min_less_zero_point); output = math_min_s32(output, max_less_zero_point); return (int8_t) (output + (int32_t) zero_point); } static inline uint8_t xnn_qu8_requantize_rndna( int32_t input, float scale, uint8_t zero_point, uint8_t min, uint8_t max) { assert(scale >= 1.0f / 4294967296.0f /* 0x1.0p-32f */); assert(scale < 256.0f); const uint32_t scale_bits = float_as_uint32(scale); const uint32_t multiplier = (scale_bits & UINT32_C(0x007FFFFF)) | UINT32_C(0x00800000); const uint32_t shift = 127 + 23 - (scale_bits >> 23); assert(shift >= 16); assert(shift < 56); const uint64_t rounding = UINT64_C(1) << (shift - 1); const int32_t min_less_zero_point = (int32_t) min - (int32_t) zero_point; const int32_t max_less_zero_point = (int32_t) max - (int32_t) zero_point; uint32_t abs_input = (uint32_t) input; if (input < 0) { abs_input = -abs_input; } const uint64_t abs_prescaled_input = (uint64_t) abs_input * (uint64_t) multiplier; const uint32_t abs_scaled_input = (uint32_t) ((abs_prescaled_input + rounding) >> shift); int32_t output = (int32_t) abs_scaled_input; if (input < 0) { output = -output; } output = math_max_s32(output, min_less_zero_point); output = math_min_s32(output, max_less_zero_point); return (uint8_t) (output + (int32_t) zero_point); } static inline int8_t xnn_qs8_requantize_rndnu( int32_t input, float scale, int8_t zero_point, int8_t min, int8_t max) { assert(scale < 256.0f); assert(scale >= 1.0f / 4294967296.0f /* 0x1.0p-32f */); const uint32_t scale_bits = float_as_uint32(scale); const int32_t multiplier = ((int32_t) scale_bits & INT32_C(0x007FFFFF)) | INT32_C(0x00800000); const uint32_t shift = 127 + 23 - (scale_bits >> 23); assert(shift >= 16); assert(shift < 56); const int64_t rounding = INT64_C(1) << (shift - 1); const int32_t min_less_zero_point = (int32_t) min - (int32_t) zero_point; const int32_t max_less_zero_point = (int32_t) max - (int32_t) zero_point; const int64_t abs_prescaled_input = (int64_t) input * (int64_t) multiplier; int32_t output = (int32_t) math_asr_s64(abs_prescaled_input + rounding, shift); output = math_max_s32(output, min_less_zero_point); output = math_min_s32(output, max_less_zero_point); return (int8_t) (output + (int32_t) zero_point); } static inline uint8_t xnn_qu8_requantize_rndnu( int32_t input, float scale, uint8_t zero_point, uint8_t min, uint8_t max) { assert(scale < 256.0f); assert(scale >= 1.0f / 4294967296.0f /* 0x1.0p-32f */); const uint32_t scale_bits = float_as_uint32(scale); const int32_t multiplier = ((int32_t) scale_bits & INT32_C(0x007FFFFF)) | INT32_C(0x00800000); const uint32_t shift = 127 + 23 - (scale_bits >> 23); assert(shift >= 16); assert(shift < 56); const int64_t rounding = INT64_C(1) << (shift - 1); const int32_t min_less_zero_point = (int32_t) min - (int32_t) zero_point; const int32_t max_less_zero_point = (int32_t) max - (int32_t) zero_point; const int64_t abs_prescaled_input = (int64_t) input * (int64_t) multiplier; int32_t output = (int32_t) math_asr_s64(abs_prescaled_input + rounding, shift); output = math_max_s32(output, min_less_zero_point); output = math_min_s32(output, max_less_zero_point); return (uint8_t) (output + (int32_t) zero_point); } static inline uint8_t xnn_qu8_quantize_add( uint8_t a, uint8_t b, union xnn_qu8_add_minmax_params params) { // Multiply by factors and accumulate products. int32_t acc = params.scalar.bias + (int32_t) (uint32_t) a * params.scalar.a_multiplier + (int32_t) (uint32_t) b * params.scalar.b_multiplier; // Shift right with rounding away from zero. acc = math_asr_s32(acc, params.scalar.shift); // Clamp and add output zero point. acc = math_max_s32(acc, params.scalar.output_min_less_zero_point); acc = math_min_s32(acc, params.scalar.output_max_less_zero_point); return (int8_t) ((int32_t) acc + params.scalar.output_zero_point); } static inline int8_t xnn_qs8_quantize_add( int8_t a, int8_t b, union xnn_qs8_add_minmax_params params) { // Multiply by factors and accumulate products. int32_t acc = params.scalar.bias + (int32_t) a * params.scalar.a_multiplier + (int32_t) b * params.scalar.b_multiplier; // Shift right with rounding away from zero. acc = math_asr_s32(acc, params.scalar.shift); // Clamp and add output zero point. acc = math_max_s32(acc, params.scalar.output_min_less_zero_point); acc = math_min_s32(acc, params.scalar.output_max_less_zero_point); return (int8_t) ((int32_t) acc + params.scalar.output_zero_point); } inline static int8_t xnn_qs8_quantize(float val, float scale, int32_t zero_point) { return (int8_t) lrintf(fminf(fmaxf(val / scale + (float) zero_point, -128.0f), 127.0f)); } inline static uint8_t xnn_qu8_quantize(float val, float scale, int32_t zero_point) { return (uint8_t) lrintf(fminf(fmaxf(val / scale + (float) zero_point, 0.0f), 255.0f)); }