text: /* Copyright 2019 The TensorFlow 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.
  ==============================================================================*/
  #ifndef TENSORFLOW_LITE_KERNELS_INTERNAL_REFERENCE_INTEGER_OPS_LOGISTIC_H_
  #define TENSORFLOW_LITE_KERNELS_INTERNAL_REFERENCE_INTEGER_OPS_LOGISTIC_H_
  
  #include <limits>
  #include "tensorflow/lite/kernels/internal/common.h"
  
  #define DEBUG0(fmt...) (void(0))
  
  namespace tflite {
  namespace reference_integer_ops {
  
  inline void Logistic(int32_t input_zero_point, int32_t input_range_radius,
                       int32_t input_multiplier, int32_t input_left_shift,
                       int32_t input_size, const int8_t* input_data,
                       int8_t* output_data) {
    DEBUG0("--->int8 logistic input_zero_point=%d, input_range_radius=%d\n", input_zero_point, input_range_radius);
    DEBUG0("         input_multipier=%d, input_left_shift=%d\n", input_multiplier, input_left_shift);
    DEBUG0("         input_size=%d\n", input_size);
    // Integer bits must be in sync with Prepare() function.
    static constexpr int32_t kInputIntegerBits = 4;
    static constexpr int32_t kOutputIntegerBits = 8;
    static constexpr int8_t kMinInt8 = std::numeric_limits<int8_t>::min();
    static constexpr int8_t kMaxInt8 = std::numeric_limits<int8_t>::max();
    static constexpr int32_t kOutputZeroPoint = -128;
  
    for (int i = 0; i < input_size; ++i) {
      const int32_t input =
          static_cast<int32_t>(input_data[i]) - input_zero_point;
      if (input <= -input_range_radius) {
        output_data[i] = kMinInt8;
      } else if (input >= input_range_radius) {
        output_data[i] = kMaxInt8;
      } else {
        const int32_t input_in_q4 = MultiplyByQuantizedMultiplier(
            input, input_multiplier, input_left_shift);
        using FixedPoint4 = gemmlowp::FixedPoint<int32_t, kInputIntegerBits>;
        const int32_t output_in_q0 =
            gemmlowp::logistic(FixedPoint4::FromRaw(input_in_q4)).raw();
  
        // Rescale and downcast.
        using gemmlowp::RoundingDivideByPOT;
        int32_t output_in_q23 =
            RoundingDivideByPOT(output_in_q0, 31 - kOutputIntegerBits);
        output_in_q23 = std::min(std::max(output_in_q23 + kOutputZeroPoint,
                                          static_cast<int32_t>(kMinInt8)),
                                 static_cast<int32_t>(kMaxInt8));
        output_data[i] = static_cast<int8_t>(output_in_q23);
      }
    }
  }
  
  inline void Logistic(int32_t input_zero_point, int32_t input_range_radius,
                       int32_t input_multiplier, int32_t input_left_shift,
                       int32_t input_size, const uint8_t* input_data,
                       uint8_t* output_data) {
    DEBUG0("--->uint8 logistic input_zero_point=%d, input_range_radius=%d\n", input_zero_point, input_range_radius);
    DEBUG0("          input_multipier=%d, input_left_shift=%d\n", input_multiplier, input_left_shift);
    DEBUG0("          input_size=%d\n", input_size);
    // Integer bits must be in sync with Prepare() function.
    static constexpr int32_t kInputIntegerBits = 4;
    static constexpr int32_t kOutputIntegerBits = 8;
    static constexpr int8_t kMinUInt8 = std::numeric_limits<uint8_t>::min();
    static constexpr int8_t kMaxUInt8 = std::numeric_limits<uint8_t>::max();
    static constexpr int32_t kOutputZeroPoint = -128;
  
    for (int i = 0; i < input_size; ++i) {
      const int32_t input =
          static_cast<int32_t>(input_data[i]) - input_zero_point;
      if (input <= -input_range_radius) {
        output_data[i] = kMinUInt8;
      } else if (input >= input_range_radius) {
        output_data[i] = kMaxUInt8;
      } else {
        const int32_t input_in_q4 = MultiplyByQuantizedMultiplier(
            input, input_multiplier, input_left_shift);
        using FixedPoint4 = gemmlowp::FixedPoint<int32_t, kInputIntegerBits>;
        const int32_t output_in_q0 =
            gemmlowp::logistic(FixedPoint4::FromRaw(input_in_q4)).raw();
  
        // Rescale and downcast.
        using gemmlowp::RoundingDivideByPOT;
        int32_t output_in_q23 =
            RoundingDivideByPOT(output_in_q0, 31 - kOutputIntegerBits);
        output_in_q23 = std::min(std::max(output_in_q23 + kOutputZeroPoint,
                                          static_cast<int32_t>(kMinUInt8)),
                                 static_cast<int32_t>(kMaxUInt8));
        output_data[i] = static_cast<uint8_t>(output_in_q23);
      }
    }
  }
  
  inline void Logistic(int32_t input_multiplier, int32_t input_size,
                       const int16_t* ptr_input_data, int16_t* ptr_output_data) {
    // We use the LUT for sigmoid and take into account, that
    // tanh(x) = 2*sigmoid(2*x) - 1
  
    int32_t input_data_mul = (input_multiplier > 0) ? input_multiplier : 1;
  
    for (int i = 0; i < input_size; ++i, ptr_input_data++, ptr_output_data++) {
      int32_t input_data = (*ptr_input_data) * input_data_mul;
  
      // Scale by 3/4 to expand range [-8,8]->[-10.7,10.7] and
      // we do interpolation on unsigned values.
      uint32_t abs_input_data = 3 * abs(input_data);
  
      // We divide by 2 power of 9, because
      // we need to divide by 2 in power of 7 for
      // the input conversion + 1/4 from the scale above.
      // Define uh as uint32_t type not to make this function overflow.
      uint32_t uh = abs_input_data >> 9;
      uint32_t result;
  
      if (uh >= 255) {
        // Saturate to maximum.
        result = 0x7FFF << 10;
      } else {
        uint32_t ua = sigmoid_table_uint16[uh];
        uint32_t ub = sigmoid_table_uint16[uh + 1];
        uint32_t ut = abs_input_data & 0x1ff;
        // Interpolation is done using the fractional bit.
        result = (ua << 9) + ut * (ub - ua);
      }
  
      result = (input_data >= 0) ? (result + (1 << 9))
                                 : ((1 << (16 + 9)) - result + (1 << 9) - 1);
  
      // Back to 16-bit.
      result >>= 10;
  
      *ptr_output_data = result;
    }
  }
  
  }  // namespace reference_integer_ops
  }  // namespace tflite
  
  #endif  // TENSORFLOW_LITE_KERNELS_INTERNAL_REFERENCE_INTEGER_OPS_LOGISTIC_H_
  