text: #!/usr/bin/python3
  
  #
  #   This file is part of Magnum.
  #
  #   Copyright © 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019,
  #               2020, 2021, 2022 Vladimír Vondruš <mosra@centrum.cz>
  #
  #   Permission is hereby granted, free of charge, to any person obtaining a
  #   copy of this software and associated documentation files (the "Software"),
  #   to deal in the Software without restriction, including without limitation
  #   the rights to use, copy, modify, merge, publish, distribute, sublicense,
  #   and/or sell copies of the Software, and to permit persons to whom the
  #   Software is furnished to do so, subject to the following conditions:
  #
  #   The above copyright notice and this permission notice shall be included
  #   in all copies or substantial portions of the Software.
  #
  #   THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
  #   IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
  #   FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
  #   THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
  #   LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
  #   FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
  #   DEALINGS IN THE SOFTWARE.
  #
  
  # Tables based on Zijp, Fast Half Float Conversions
  # ftp://ftp.fox-toolkit.org/pub/fasthalffloatconversion.pdf
  
  def convertmantissa(i):
      m = i << 13
      e = 0
      while not (m & 0x00800000):
          e -= 0x00800000
          m <<= 1
      m &= ~0x00800000
      e += 0x38800000
      return m | e
  
  mantissa_table = [0]*2048
  for i in range(1, 1024):
      mantissa_table[i] = convertmantissa(i)
  for i in range(1024, 2048):
      mantissa_table[i] = 0x38000000 + ((i - 1024) << 13)
  
  exponent_table = [0]*64
  for i in range(1, 31):
      exponent_table[i] = i << 23
  exponent_table[31] = 0x47800000
  exponent_table[32] = 0x80000000
  for i in range(33, 63):
      exponent_table[i] = 0x80000000 + ((i - 32) << 23)
  exponent_table[63] = 0xc7800000
  
  offset_table = [1024]*64
  offset_table[0] = 0
  offset_table[32] = 0
  
  base_table = [0]*512
  shift_table = [0]*512
  
  for i in range(0, 256):
      e = i - 127
      if e < -24:
          base_table[i | 0x000] = 0x0000
          base_table[i | 0x100] = 0x8000
          shift_table[i | 0x000] = 24
          shift_table[i | 0x100] = 24
      elif e < -14:
          base_table[i | 0x000] = (0x0400 >> (-e - 14))
          base_table[i | 0x100] = (0x0400 >> (-e - 14)) | 0x8000
          shift_table[i | 0x000] = -e - 1
          shift_table[i | 0x100] = -e - 1
      elif e <= 15:
          base_table[i | 0x000] = ((e + 15) << 10)
          base_table[i | 0x100] = ((e + 15) << 10) | 0x8000;
          shift_table[i | 0x000] = 13
          shift_table[i | 0x100] = 13
      elif e < 128:
          base_table[i | 0x000] = 0x7C00
          base_table[i | 0x100] = 0xFC00
          shift_table[i | 0x000] = 24
          shift_table[i | 0x100] = 24
      else:
          base_table[i | 0x000] = 0x7C00
          base_table[i | 0x100] = 0xFC00
          shift_table[i | 0x000] = 13
          shift_table[i | 0x100] = 13
  
  # Print the stuff
  print("""#ifndef Magnum_Math_halfTables_hpp
  #define Magnum_Math_halfTables_hpp
  /*
      This file is part of Magnum.
  
      Copyright © 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019,
                  2020, 2021, 2022 Vladimír Vondruš <mosra@centrum.cz>
  
      Permission is hereby granted, free of charge, to any person obtaining a
      copy of this software and associated documentation files (the "Software"),
      to deal in the Software without restriction, including without limitation
      the rights to use, copy, modify, merge, publish, distribute, sublicense,
      and/or sell copies of the Software, and to permit persons to whom the
      Software is furnished to do so, subject to the following conditions:
  
      The above copyright notice and this permission notice shall be included
      in all copies or substantial portions of the Software.
  
      THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
      IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
      FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
      THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
      LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
      FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
      DEALINGS IN THE SOFTWARE.
  */
  
  #include "Magnum/Types.h"
  
  /* Generated by ./generateHalfTables.py */
  
  namespace Magnum { namespace Math { namespace {
  """)
  
  def print32bit(table):
      for i, v in enumerate(table):
          print("0x{:08x}".format(v), end=",\n    " if not (i + 1) % 6 else ", " if not i == len(table) - 1 else "")
  def print16bit(table):
      for i, v in enumerate(table):
          print("0x{:04x}".format(v), end=",\n    " if not (i + 1) % 9 else ", " if not i == len(table) - 1 else "")
  def print8bit(table):
      for i, v in enumerate(table):
          print("0x{:02x}".format(v), end=",\n    " if not (i + 1) % 12 else ", " if not i == len(table) - 1 else "")
  
  print("constexpr UnsignedInt HalfMantissaTable[2048] = {\n    ", end="")
  print32bit(mantissa_table)
  print("\n};\n")
  
  print("constexpr UnsignedInt HalfExponentTable[64] = {\n    ", end="")
  print32bit(exponent_table)
  print("\n};\n")
  
  print("constexpr UnsignedShort HalfOffsetTable[64] = {\n    ", end="")
  print16bit(offset_table)
  print("\n};\n")
  
  print("constexpr UnsignedShort HalfBaseTable[512] = {\n    ", end="")
  print16bit(base_table)
  print("\n};\n")
  
  print("constexpr UnsignedByte HalfShiftTable[512] = {\n    ", end="")
  print8bit(shift_table)
  print("""
  };
  
  }}}
  
  #endif
  """)
  