File: fix_base.cpp

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/*!
 * \file
 * \brief Implementation of a base class for fixed-point data types
 * \author Johan Bergman
 *
 * -------------------------------------------------------------------------
 *
 * IT++ - C++ library of mathematical, signal processing, speech processing,
 *        and communications classes and functions
 *
 * Copyright (C) 1995-2008  (see AUTHORS file for a list of contributors)
 *
 * This program is free software; you can redistribute it and/or modify
 * it under the terms of the GNU General Public License as published by
 * the Free Software Foundation; either version 2 of the License, or
 * (at your option) any later version.
 *
 * This program is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 * GNU General Public License for more details.
 *
 * You should have received a copy of the GNU General Public License
 * along with this program; if not, write to the Free Software
 * Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
 *
 * -------------------------------------------------------------------------
 */

#include <itpp/fixed/fix_base.h>
#include <itpp/base/itassert.h>
#include <iostream>


namespace itpp {

  // Definition and initialization of static data member
  output_mode Fix_Base::outputmode = OUTPUT_FIX_SHIFT;

  void Fix_Base::set_output_mode(std::string o)
  {
    if (o == "OUTPUT_FIX")
      outputmode = OUTPUT_FIX;
    else if (o == "OUTPUT_FIX_SHIFT")
      outputmode = OUTPUT_FIX_SHIFT;
    else if (o == "OUTPUT_FLOAT")
      outputmode = OUTPUT_FLOAT;
    else if (o == "OUTPUT_FLOAT_SHIFT")
      outputmode = OUTPUT_FLOAT_SHIFT;
    else
      it_error("Fix_Base::set_output_mode: Illegal output mode!");
  }

  void Fix_Base::print() const
  {
    std::cout << "shift = " << shift << std::endl
         << "wordlen = " << wordlen << std::endl
         << "int(emode) = " << int(emode) << std::endl
         << "int(omode) = " << int(omode) << std::endl
         << "int(qmode) = " << int(qmode) << std::endl
         << "stat_ptr = " << stat_ptr << std::endl
         << "min = " << min << std::endl
         << "max = " << max << std::endl
         << "n_unused_bits = " << n_unused_bits << std::endl;
  }

  void Fix_Base::init()
  {
    switch (emode) {
    case TC:
      it_assert_debug(wordlen >= 1 && wordlen <= 64, "Fix_Base::calc_apply_o_modes: Illegal word length!");
      max = fixrep(UINT64_POW2[wordlen - 1] - 1);
      min = -max - 1;
      break;
    case US:
      it_assert_debug(wordlen >= 0 && wordlen <= 63, "Fix_Base::calc_apply_o_modes: Illegal word length!");
      min = 0;
      max = fixrep(UINT64_POW2[wordlen] - 1);
      break;
    default:
      it_error("Fix_Base::init: Illegal sign encoding mode!");
      break;
    }

    n_unused_bits = MAX_WORDLEN - wordlen;
  }

  fixrep Fix_Base::apply_o_mode(fixrep x) const
  {
    fixrep ret = x;
    bool overflow = false;

    if (ret < min) {
      overflow = true;
      switch (omode) {
      case WRAP:
        ret = fixrep((fixrep(ret) << n_unused_bits) >> n_unused_bits);
        break;
      case SAT:
        ret = min;
        break;
      default:
        it_error("Fix_Base::apply_o_mode: Illegal overflow mode!");
        break;
      }
    }
    else if (ret > max) {
      overflow = true;
      switch (omode) {
      case WRAP:
        ret = fixrep((fixrep(ret) << n_unused_bits) >> n_unused_bits);
        break;
      case SAT:
        ret = max;
        break;
      default:
        it_error("Fix_Base::apply_o_mode: Illegal overflow mode!");
        break;
      }
    }

    if (stat_ptr != 0)
      stat_ptr->sample(double(ret), overflow);

    return ret;
  }

  fixrep Fix_Base::scale_and_apply_modes(double x, q_mode q) const
  {
    it_assert_debug(shift>=-64 && shift<=63, "Fix_Base::scale_and_apply_modes: Illegal shift!");
    fixrep ret = 0;
    double scaled_value = x*DOUBLE_POW2[shift + 64];

    switch (q) {
    case RND:
      ret = apply_o_mode(fixrep(std::floor(scaled_value + 0.5)));
      break;
    case RND_ZERO:
      if (x < 0)
        ret = apply_o_mode(fixrep(std::floor(scaled_value + 0.5)));
      else
        ret = apply_o_mode(fixrep(-std::floor(-scaled_value + 0.5)));
      break;
    case RND_MIN_INF:
      ret = apply_o_mode(fixrep(-std::floor(-scaled_value + 0.5)));
      break;
    case RND_INF:
      if (x < 0)
        ret = apply_o_mode(fixrep(scaled_value - 0.5));
      else
        ret = apply_o_mode(fixrep(scaled_value + 0.5));
      break;
    case RND_CONV:
      if (scaled_value == std::floor(scaled_value) + 0.5)
        ret = apply_o_mode((fixrep(round(scaled_value)) >> 1) << 1);
      else
        ret = apply_o_mode(fixrep(std::floor(scaled_value + 0.5)));
      break;
    case RND_CONV_ODD:
      if (scaled_value == std::floor(scaled_value) + 0.5)
        if (scaled_value < 0)
          ret = apply_o_mode(((fixrep(std::ceil(scaled_value)) >> 1) << 1) - 1);
        else
          ret = apply_o_mode(((fixrep(std::floor(scaled_value)) >> 1) << 1) + 1);
      else
        ret = apply_o_mode(fixrep(std::floor(scaled_value + 0.5)));
      break;
    case TRN:
      ret = apply_o_mode(fixrep(std::floor(scaled_value)));
      break;
    case TRN_ZERO:
      ret = apply_o_mode(fixrep(scaled_value));
      break;
    default:
      it_error("Fix_Base::scale_and_apply_modes: Illegal quantization mode!");
      break;
    }

    return ret;
  }

  fixrep Fix_Base::rshift_and_apply_q_mode(fixrep x, int n, q_mode q) const
  {
    it_assert_debug(n >= 0, "Fix_Base::rshift_and_apply_q_mode: n cannot be negative!");
    fixrep ret = 0;

    if (n == 0) {
      ret = x;
    }
    else {
      switch (q) {
      case RND:
        // Add the most significant deleted bit to the remaining bits
        ret = ((x >> (n - 1)) + 1) >> 1;
        break;
      case RND_ZERO:
        // If the most significant deleted bit is 1,
        // and either the sign bit or at least one other deleted bit is 1,
        // add 1 to the remaining bits
        if ((x & (fixrep(1) << (n - 1))) && ((x < 0) || (x & ((fixrep(1) << (n - 1)) - 1))))
          ret = (x >> n) + 1;
        else
          ret = x >> n;
        break;
      case RND_MIN_INF:
        // If the most significant deleted bit is 1,
        // and at least one other deleted bit is 1,
        // add 1 to the remaining bits
        if ((x & (fixrep(1) << (n - 1))) && (x & ((fixrep(1) << (n - 1)) - 1)))
          ret = (x >> n) + 1;
        else
          ret = x >> n;
        break;
      case RND_INF:
        // If the most significant deleted bit is 1,
        // and either the inverted value of the sign bit or at least one other deleted bit is 1,
        // add 1 to the remaining bits
        if ((x & (fixrep(1) << (n - 1))) && ((x >= 0) || (x & ((fixrep(1) << (n - 1)) - 1))))
          ret = (x >> n) + 1;
        else
          ret = x >> n;
        break;
      case RND_CONV:
        // If the most significant deleted bit is 1,
        // and either the least significant of the remaining bits or at least one other deleted bit is 1,
        // add 1 to the remaining bits
        if ((x & (fixrep(1) << (n - 1))) && ((x & (fixrep(1) << n)) || (x & ((fixrep(1) << (n - 1)) - 1))))
          ret = (x >> n) + 1;
        else
          ret = x >> n;
        break;
      case RND_CONV_ODD:
        // If the most significant deleted bit is 1,
        // and either the least significant of the remaining bits is 0 or at least one other deleted bit is 1,
        // add 1 to the remaining bits
        if ((x & (fixrep(1) << (n - 1))) && (!(x & (fixrep(1) << n)) || (x & ((fixrep(1) << (n - 1)) - 1))))
          ret = (x >> n) + 1;
        else
          ret = x >> n;
        break;
      case TRN:
        // Just copy the remaining bits
        ret = x >> n;
        break;
      case TRN_ZERO:
        // If the sign bit is 1,
        // and either the most significant deleted bit or at least one other deleted bit is 1,
        // add 1 to the remaining bits
        if ((x < 0) && (x & ((fixrep(1) << n) - 1)))
          ret = (x >> n) + 1;
        else
          ret = x >> n;
        break;
      default:
        it_error("Fix_Base::rshift_and_apply_q_mode: Illegal quantization mode!");
        break;
      }
    }

    if (stat_ptr != 0)
      stat_ptr->sample(double(ret), false);

    return ret;
  }

} // namespace itpp