png.c 71.2 KB
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/* png.c - location for general purpose libpng functions
 *
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 * Last changed in libpng 1.5.1 [February 3, 2011]
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 * Copyright (c) 1998-2011 Glenn Randers-Pehrson
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 * (Version 0.96 Copyright (c) 1996, 1997 Andreas Dilger)
 * (Version 0.88 Copyright (c) 1995, 1996 Guy Eric Schalnat, Group 42, Inc.)
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 *
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 * This code is released under the libpng license.
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 * For conditions of distribution and use, see the disclaimer
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 * and license in png.h
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 */
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#include "pngpriv.h"
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/* Generate a compiler error if there is an old png.h in the search path. */
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typedef png_libpng_version_1_5_3beta01 Your_png_h_is_not_version_1_5_3beta01;
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/* Tells libpng that we have already handled the first "num_bytes" bytes
 * of the PNG file signature.  If the PNG data is embedded into another
 * stream we can set num_bytes = 8 so that libpng will not attempt to read
 * or write any of the magic bytes before it starts on the IHDR.
 */
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#ifdef PNG_READ_SUPPORTED
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void PNGAPI
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png_set_sig_bytes(png_structp png_ptr, int num_bytes)
{
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   png_debug(1, "in png_set_sig_bytes");

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   if (png_ptr == NULL)
      return;
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   if (num_bytes > 8)
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      png_error(png_ptr, "Too many bytes for PNG signature");
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   png_ptr->sig_bytes = (png_byte)(num_bytes < 0 ? 0 : num_bytes);
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}

/* Checks whether the supplied bytes match the PNG signature.  We allow
 * checking less than the full 8-byte signature so that those apps that
 * already read the first few bytes of a file to determine the file type
 * can simply check the remaining bytes for extra assurance.  Returns
 * an integer less than, equal to, or greater than zero if sig is found,
 * respectively, to be less than, to match, or be greater than the correct
 * PNG signature (this is the same behaviour as strcmp, memcmp, etc).
 */
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int PNGAPI
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png_sig_cmp(png_const_bytep sig, png_size_t start, png_size_t num_to_check)
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{
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   png_byte png_signature[8] = {137, 80, 78, 71, 13, 10, 26, 10};
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   if (num_to_check > 8)
      num_to_check = 8;
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   else if (num_to_check < 1)
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      return (-1);
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   if (start > 7)
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      return (-1);
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   if (start + num_to_check > 8)
      num_to_check = 8 - start;

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   return ((int)(png_memcmp(&sig[start], &png_signature[start], num_to_check)));
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}

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#endif /* PNG_READ_SUPPORTED */
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#if defined(PNG_READ_SUPPORTED) || defined(PNG_WRITE_SUPPORTED)
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/* Function to allocate memory for zlib */
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PNG_FUNCTION(voidpf /* PRIVATE */,
png_zalloc,(voidpf png_ptr, uInt items, uInt size),PNG_ALLOCATED)
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{
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   png_voidp ptr;
   png_structp p=(png_structp)png_ptr;
   png_uint_32 save_flags=p->flags;
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   png_alloc_size_t num_bytes;
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   if (png_ptr == NULL)
      return (NULL);
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   if (items > PNG_UINT_32_MAX/size)
   {
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     png_warning (p, "Potential overflow in png_zalloc()");
     return (NULL);
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   }
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   num_bytes = (png_alloc_size_t)items * size;
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   p->flags|=PNG_FLAG_MALLOC_NULL_MEM_OK;
   ptr = (png_voidp)png_malloc((png_structp)png_ptr, num_bytes);
   p->flags=save_flags;
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   return ((voidpf)ptr);
}

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/* Function to free memory for zlib */
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void /* PRIVATE */
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png_zfree(voidpf png_ptr, voidpf ptr)
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{
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   png_free((png_structp)png_ptr, (png_voidp)ptr);
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}

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/* Reset the CRC variable to 32 bits of 1's.  Care must be taken
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 * in case CRC is > 32 bits to leave the top bits 0.
 */
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void /* PRIVATE */
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png_reset_crc(png_structp png_ptr)
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{
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   png_ptr->crc = crc32(0, Z_NULL, 0);
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}

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/* Calculate the CRC over a section of data.  We can only pass as
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 * much data to this routine as the largest single buffer size.  We
 * also check that this data will actually be used before going to the
 * trouble of calculating it.
 */
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void /* PRIVATE */
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png_calculate_crc(png_structp png_ptr, png_const_bytep ptr, png_size_t length)
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{
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   int need_crc = 1;

   if (png_ptr->chunk_name[0] & 0x20)                     /* ancillary */
   {
      if ((png_ptr->flags & PNG_FLAG_CRC_ANCILLARY_MASK) ==
          (PNG_FLAG_CRC_ANCILLARY_USE | PNG_FLAG_CRC_ANCILLARY_NOWARN))
         need_crc = 0;
   }
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   else                                                    /* critical */
   {
      if (png_ptr->flags & PNG_FLAG_CRC_CRITICAL_IGNORE)
         need_crc = 0;
   }

   if (need_crc)
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      png_ptr->crc = crc32(png_ptr->crc, ptr, (uInt)length);
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}
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/* Allocate the memory for an info_struct for the application.  We don't
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 * really need the png_ptr, but it could potentially be useful in the
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 * future.  This should be used in favour of malloc(png_sizeof(png_info))
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 * and png_info_init() so that applications that want to use a shared
 * libpng don't have to be recompiled if png_info changes size.
 */
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PNG_FUNCTION(png_infop,PNGAPI
png_create_info_struct,(png_structp png_ptr),PNG_ALLOCATED)
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{
   png_infop info_ptr;

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   png_debug(1, "in png_create_info_struct");
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   if (png_ptr == NULL)
      return (NULL);
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#ifdef PNG_USER_MEM_SUPPORTED
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   info_ptr = (png_infop)png_create_struct_2(PNG_STRUCT_INFO,
      png_ptr->malloc_fn, png_ptr->mem_ptr);
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#else
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   info_ptr = (png_infop)png_create_struct(PNG_STRUCT_INFO);
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#endif
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   if (info_ptr != NULL)
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      png_info_init_3(&info_ptr, png_sizeof(png_info));
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   return (info_ptr);
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}

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/* This function frees the memory associated with a single info struct.
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 * Normally, one would use either png_destroy_read_struct() or
 * png_destroy_write_struct() to free an info struct, but this may be
 * useful for some applications.
 */
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void PNGAPI
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png_destroy_info_struct(png_structp png_ptr, png_infopp info_ptr_ptr)
{
   png_infop info_ptr = NULL;

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   png_debug(1, "in png_destroy_info_struct");
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   if (png_ptr == NULL)
      return;

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   if (info_ptr_ptr != NULL)
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      info_ptr = *info_ptr_ptr;

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   if (info_ptr != NULL)
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   {
      png_info_destroy(png_ptr, info_ptr);

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#ifdef PNG_USER_MEM_SUPPORTED
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      png_destroy_struct_2((png_voidp)info_ptr, png_ptr->free_fn,
          png_ptr->mem_ptr);
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#else
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      png_destroy_struct((png_voidp)info_ptr);
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#endif
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      *info_ptr_ptr = NULL;
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   }
}

/* Initialize the info structure.  This is now an internal function (0.89)
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 * and applications using it are urged to use png_create_info_struct()
 * instead.
 */
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void PNGAPI
png_info_init_3(png_infopp ptr_ptr, png_size_t png_info_struct_size)
{
   png_infop info_ptr = *ptr_ptr;

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   png_debug(1, "in png_info_init_3");

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   if (info_ptr == NULL)
      return;
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   if (png_sizeof(png_info) > png_info_struct_size)
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   {
      png_destroy_struct(info_ptr);
      info_ptr = (png_infop)png_create_struct(PNG_STRUCT_INFO);
      *ptr_ptr = info_ptr;
   }
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   /* Set everything to 0 */
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   png_memset(info_ptr, 0, png_sizeof(png_info));
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}

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void PNGAPI
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png_data_freer(png_structp png_ptr, png_infop info_ptr,
   int freer, png_uint_32 mask)
{
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   png_debug(1, "in png_data_freer");
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   if (png_ptr == NULL || info_ptr == NULL)
      return;
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   if (freer == PNG_DESTROY_WILL_FREE_DATA)
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      info_ptr->free_me |= mask;
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   else if (freer == PNG_USER_WILL_FREE_DATA)
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      info_ptr->free_me &= ~mask;
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   else
      png_warning(png_ptr,
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         "Unknown freer parameter in png_data_freer");
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}

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void PNGAPI
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png_free_data(png_structp png_ptr, png_infop info_ptr, png_uint_32 mask,
   int num)
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{
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   png_debug(1, "in png_free_data");
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   if (png_ptr == NULL || info_ptr == NULL)
      return;
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#ifdef PNG_TEXT_SUPPORTED
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   /* Free text item num or (if num == -1) all text items */
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   if ((mask & PNG_FREE_TEXT) & info_ptr->free_me)
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   {
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      if (num != -1)
      {
         if (info_ptr->text && info_ptr->text[num].key)
         {
            png_free(png_ptr, info_ptr->text[num].key);
            info_ptr->text[num].key = NULL;
         }
      }
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      else
      {
         int i;
         for (i = 0; i < info_ptr->num_text; i++)
             png_free_data(png_ptr, info_ptr, PNG_FREE_TEXT, i);
         png_free(png_ptr, info_ptr->text);
         info_ptr->text = NULL;
         info_ptr->num_text=0;
      }
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   }
#endif

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#ifdef PNG_tRNS_SUPPORTED
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   /* Free any tRNS entry */
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   if ((mask & PNG_FREE_TRNS) & info_ptr->free_me)
   {
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      png_free(png_ptr, info_ptr->trans_alpha);
      info_ptr->trans_alpha = NULL;
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      info_ptr->valid &= ~PNG_INFO_tRNS;
   }
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#endif

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#ifdef PNG_sCAL_SUPPORTED
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   /* Free any sCAL entry */
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   if ((mask & PNG_FREE_SCAL) & info_ptr->free_me)
   {
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#if defined(PNG_FIXED_POINT_SUPPORTED) && !defined(PNG_FLOATING_POINT_SUPPORTED)
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      png_free(png_ptr, info_ptr->scal_s_width);
      png_free(png_ptr, info_ptr->scal_s_height);
      info_ptr->scal_s_width = NULL;
      info_ptr->scal_s_height = NULL;
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#endif
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      info_ptr->valid &= ~PNG_INFO_sCAL;
   }
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#endif

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#ifdef PNG_pCAL_SUPPORTED
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   /* Free any pCAL entry */
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   if ((mask & PNG_FREE_PCAL) & info_ptr->free_me)
   {
      png_free(png_ptr, info_ptr->pcal_purpose);
      png_free(png_ptr, info_ptr->pcal_units);
      info_ptr->pcal_purpose = NULL;
      info_ptr->pcal_units = NULL;
      if (info_ptr->pcal_params != NULL)
         {
            int i;
            for (i = 0; i < (int)info_ptr->pcal_nparams; i++)
            {
               png_free(png_ptr, info_ptr->pcal_params[i]);
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               info_ptr->pcal_params[i] = NULL;
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            }
            png_free(png_ptr, info_ptr->pcal_params);
            info_ptr->pcal_params = NULL;
         }
      info_ptr->valid &= ~PNG_INFO_pCAL;
   }
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#endif

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#ifdef PNG_iCCP_SUPPORTED
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   /* Free any iCCP entry */
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   if ((mask & PNG_FREE_ICCP) & info_ptr->free_me)
   {
      png_free(png_ptr, info_ptr->iccp_name);
      png_free(png_ptr, info_ptr->iccp_profile);
      info_ptr->iccp_name = NULL;
      info_ptr->iccp_profile = NULL;
      info_ptr->valid &= ~PNG_INFO_iCCP;
   }
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#endif

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#ifdef PNG_sPLT_SUPPORTED
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   /* Free a given sPLT entry, or (if num == -1) all sPLT entries */
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   if ((mask & PNG_FREE_SPLT) & info_ptr->free_me)
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   {
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      if (num != -1)
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      {
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         if (info_ptr->splt_palettes)
         {
            png_free(png_ptr, info_ptr->splt_palettes[num].name);
            png_free(png_ptr, info_ptr->splt_palettes[num].entries);
            info_ptr->splt_palettes[num].name = NULL;
            info_ptr->splt_palettes[num].entries = NULL;
         }
      }
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      else
      {
         if (info_ptr->splt_palettes_num)
         {
            int i;
            for (i = 0; i < (int)info_ptr->splt_palettes_num; i++)
               png_free_data(png_ptr, info_ptr, PNG_FREE_SPLT, i);

            png_free(png_ptr, info_ptr->splt_palettes);
            info_ptr->splt_palettes = NULL;
            info_ptr->splt_palettes_num = 0;
         }
         info_ptr->valid &= ~PNG_INFO_sPLT;
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      }
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   }
#endif

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#ifdef PNG_UNKNOWN_CHUNKS_SUPPORTED
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   if (png_ptr->unknown_chunk.data)
   {
      png_free(png_ptr, png_ptr->unknown_chunk.data);
      png_ptr->unknown_chunk.data = NULL;
   }
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   if ((mask & PNG_FREE_UNKN) & info_ptr->free_me)
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   {
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      if (num != -1)
      {
          if (info_ptr->unknown_chunks)
          {
             png_free(png_ptr, info_ptr->unknown_chunks[num].data);
             info_ptr->unknown_chunks[num].data = NULL;
          }
      }
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      else
      {
         int i;
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         if (info_ptr->unknown_chunks_num)
         {
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            for (i = 0; i < info_ptr->unknown_chunks_num; i++)
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               png_free_data(png_ptr, info_ptr, PNG_FREE_UNKN, i);
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            png_free(png_ptr, info_ptr->unknown_chunks);
            info_ptr->unknown_chunks = NULL;
            info_ptr->unknown_chunks_num = 0;
         }
      }
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   }
#endif

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#ifdef PNG_hIST_SUPPORTED
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   /* Free any hIST entry */
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   if ((mask & PNG_FREE_HIST)  & info_ptr->free_me)
   {
      png_free(png_ptr, info_ptr->hist);
      info_ptr->hist = NULL;
      info_ptr->valid &= ~PNG_INFO_hIST;
   }
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#endif

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   /* Free any PLTE entry that was internally allocated */
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   if ((mask & PNG_FREE_PLTE) & info_ptr->free_me)
   {
      png_zfree(png_ptr, info_ptr->palette);
      info_ptr->palette = NULL;
      info_ptr->valid &= ~PNG_INFO_PLTE;
      info_ptr->num_palette = 0;
   }
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#ifdef PNG_INFO_IMAGE_SUPPORTED
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   /* Free any image bits attached to the info structure */
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   if ((mask & PNG_FREE_ROWS) & info_ptr->free_me)
   {
      if (info_ptr->row_pointers)
      {
         int row;
         for (row = 0; row < (int)info_ptr->height; row++)
         {
            png_free(png_ptr, info_ptr->row_pointers[row]);
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            info_ptr->row_pointers[row] = NULL;
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         }
         png_free(png_ptr, info_ptr->row_pointers);
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         info_ptr->row_pointers = NULL;
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      }
      info_ptr->valid &= ~PNG_INFO_IDAT;
   }
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#endif
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   if (num != -1)
      mask &= ~PNG_FREE_MUL;
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   info_ptr->free_me &= ~mask;
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}
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/* This is an internal routine to free any memory that the info struct is
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 * pointing to before re-using it or freeing the struct itself.  Recall
 * that png_free() checks for NULL pointers for us.
 */
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void /* PRIVATE */
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png_info_destroy(png_structp png_ptr, png_infop info_ptr)
{
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   png_debug(1, "in png_info_destroy");
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   png_free_data(png_ptr, info_ptr, PNG_FREE_ALL, -1);
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#ifdef PNG_HANDLE_AS_UNKNOWN_SUPPORTED
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   if (png_ptr->num_chunk_list)
   {
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      png_free(png_ptr, png_ptr->chunk_list);
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      png_ptr->chunk_list = NULL;
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      png_ptr->num_chunk_list = 0;
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   }
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#endif
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   png_info_init_3(&info_ptr, png_sizeof(png_info));
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}
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#endif /* defined(PNG_READ_SUPPORTED) || defined(PNG_WRITE_SUPPORTED) */
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/* This function returns a pointer to the io_ptr associated with the user
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 * functions.  The application should free any memory associated with this
 * pointer before png_write_destroy() or png_read_destroy() are called.
 */
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png_voidp PNGAPI
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png_get_io_ptr(png_structp png_ptr)
{
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   if (png_ptr == NULL)
      return (NULL);
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   return (png_ptr->io_ptr);
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}
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#if defined(PNG_READ_SUPPORTED) || defined(PNG_WRITE_SUPPORTED)
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#  ifdef PNG_STDIO_SUPPORTED
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/* Initialize the default input/output functions for the PNG file.  If you
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 * use your own read or write routines, you can call either png_set_read_fn()
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 * or png_set_write_fn() instead of png_init_io().  If you have defined
 * PNG_NO_STDIO, you must use a function of your own because "FILE *" isn't
 * necessarily available.
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 */
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void PNGAPI
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png_init_io(png_structp png_ptr, png_FILE_p fp)
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{
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   png_debug(1, "in png_init_io");
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   if (png_ptr == NULL)
      return;
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   png_ptr->io_ptr = (png_voidp)fp;
}
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#  endif
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#  ifdef PNG_TIME_RFC1123_SUPPORTED
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/* Convert the supplied time into an RFC 1123 string suitable for use in
 * a "Creation Time" or other text-based time string.
 */
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png_const_charp PNGAPI
png_convert_to_rfc1123(png_structp png_ptr, png_const_timep ptime)
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{
   static PNG_CONST char short_months[12][4] =
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        {"Jan", "Feb", "Mar", "Apr", "May", "Jun",
         "Jul", "Aug", "Sep", "Oct", "Nov", "Dec"};
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   if (png_ptr == NULL)
      return (NULL);
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   if (png_ptr->time_buffer == NULL)
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   {
      png_ptr->time_buffer = (png_charp)png_malloc(png_ptr, (png_uint_32)(29*
         png_sizeof(char)));
   }
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#    ifdef USE_FAR_KEYWORD
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   {
      char near_time_buf[29];
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      png_snprintf6(near_time_buf, 29, "%d %s %d %02d:%02d:%02d +0000",
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          ptime->day % 32, short_months[(ptime->month - 1) % 12],
          ptime->year, ptime->hour % 24, ptime->minute % 60,
          ptime->second % 61);
      png_memcpy(png_ptr->time_buffer, near_time_buf,
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          29*png_sizeof(char));
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   }
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#    else
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   png_snprintf6(png_ptr->time_buffer, 29, "%d %s %d %02d:%02d:%02d +0000",
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       ptime->day % 32, short_months[(ptime->month - 1) % 12],
       ptime->year, ptime->hour % 24, ptime->minute % 60,
       ptime->second % 61);
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#    endif
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   return png_ptr->time_buffer;
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}
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#  endif /* PNG_TIME_RFC1123_SUPPORTED */
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#endif /* defined(PNG_READ_SUPPORTED) || defined(PNG_WRITE_SUPPORTED) */
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png_const_charp PNGAPI
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png_get_copyright(png_const_structp png_ptr)
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{
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   PNG_UNUSED(png_ptr)  /* Silence compiler warning about unused png_ptr */
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#ifdef PNG_STRING_COPYRIGHT
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   return PNG_STRING_COPYRIGHT
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#else
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#  ifdef __STDC__
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   return PNG_STRING_NEWLINE \
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     "libpng version 1.5.3beta01 - April 1, 2011" PNG_STRING_NEWLINE \
559
     "Copyright (c) 1998-2011 Glenn Randers-Pehrson" PNG_STRING_NEWLINE \
560 561
     "Copyright (c) 1996-1997 Andreas Dilger" PNG_STRING_NEWLINE \
     "Copyright (c) 1995-1996 Guy Eric Schalnat, Group 42, Inc." \
562
     PNG_STRING_NEWLINE;
563
#  else
564
      return "libpng version 1.5.3beta01 - April 1, 2011\
565
      Copyright (c) 1998-2011 Glenn Randers-Pehrson\
566
      Copyright (c) 1996-1997 Andreas Dilger\
567
      Copyright (c) 1995-1996 Guy Eric Schalnat, Group 42, Inc.";
568
#  endif
569
#endif
570
}
571

572
/* The following return the library version as a short string in the
573 574 575 576 577 578
 * format 1.0.0 through 99.99.99zz.  To get the version of *.h files
 * used with your application, print out PNG_LIBPNG_VER_STRING, which
 * is defined in png.h.
 * Note: now there is no difference between png_get_libpng_ver() and
 * png_get_header_ver().  Due to the version_nn_nn_nn typedef guard,
 * it is guaranteed that png.c uses the correct version of png.h.
579
 */
580
png_const_charp PNGAPI
581
png_get_libpng_ver(png_const_structp png_ptr)
582 583
{
   /* Version of *.c files used when building libpng */
584
   return png_get_header_ver(png_ptr);
585 586
}

587
png_const_charp PNGAPI
588
png_get_header_ver(png_const_structp png_ptr)
589 590
{
   /* Version of *.h files used when building libpng */
591
   PNG_UNUSED(png_ptr)  /* Silence compiler warning about unused png_ptr */
592
   return PNG_LIBPNG_VER_STRING;
593 594
}

595
png_const_charp PNGAPI
596
png_get_header_version(png_const_structp png_ptr)
597 598
{
   /* Returns longer string containing both version and date */
599
   PNG_UNUSED(png_ptr)  /* Silence compiler warning about unused png_ptr */
600
#ifdef __STDC__
601
   return PNG_HEADER_VERSION_STRING
602
#  ifndef PNG_READ_SUPPORTED
603
   "     (NO READ SUPPORT)"
604
#  endif
605
   PNG_STRING_NEWLINE;
606
#else
607
   return PNG_HEADER_VERSION_STRING;
608
#endif
609 610
}

611
#if defined(PNG_READ_SUPPORTED) || defined(PNG_WRITE_SUPPORTED)
612
#  ifdef PNG_HANDLE_AS_UNKNOWN_SUPPORTED
613
int PNGAPI
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614
png_handle_as_unknown(png_structp png_ptr, png_const_bytep chunk_name)
615
{
616
   /* Check chunk_name and return "keep" value if it's on the list, else 0 */
617 618
   int i;
   png_bytep p;
619
   if (png_ptr == NULL || chunk_name == NULL || png_ptr->num_chunk_list<=0)
620
      return 0;
621

622 623
   p = png_ptr->chunk_list + png_ptr->num_chunk_list*5 - 5;
   for (i = png_ptr->num_chunk_list; i; i--, p -= 5)
624
      if (!png_memcmp(chunk_name, p, 4))
625
        return ((int)*(p + 4));
626 627
   return 0;
}
628
#  endif
629
#endif /* defined(PNG_READ_SUPPORTED) || defined(PNG_WRITE_SUPPORTED) */
630

631
#ifdef PNG_READ_SUPPORTED
632
/* This function, added to libpng-1.0.6g, is untested. */
633
int PNGAPI
634 635
png_reset_zstream(png_structp png_ptr)
{
636 637
   if (png_ptr == NULL)
      return Z_STREAM_ERROR;
638

639 640
   return (inflateReset(&png_ptr->zstream));
}
641
#endif /* PNG_READ_SUPPORTED */
642

643
/* This function was added to libpng-1.0.7 */
644 645 646 647
png_uint_32 PNGAPI
png_access_version_number(void)
{
   /* Version of *.c files used when building libpng */
648
   return((png_uint_32)PNG_LIBPNG_VER);
649 650 651
}


652

653
#if defined(PNG_READ_SUPPORTED) || defined(PNG_WRITE_SUPPORTED)
654
#  ifdef PNG_SIZE_T
655 656 657 658
/* Added at libpng version 1.2.6 */
   PNG_EXTERN png_size_t PNGAPI png_convert_size PNGARG((size_t size));
png_size_t PNGAPI
png_convert_size(size_t size)
659
{
660 661
   if (size > (png_size_t)-1)
      PNG_ABORT();  /* We haven't got access to png_ptr, so no png_error() */
662

663
   return ((png_size_t)size);
664
}
665
#  endif /* PNG_SIZE_T */
666

667
/* Added at libpng version 1.2.34 and 1.4.0 (moved from pngset.c) */
G
[devel]  
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668
#  ifdef PNG_CHECK_cHRM_SUPPORTED
669

670
int /* PRIVATE */
671 672 673 674 675 676
png_check_cHRM_fixed(png_structp png_ptr,
   png_fixed_point white_x, png_fixed_point white_y, png_fixed_point red_x,
   png_fixed_point red_y, png_fixed_point green_x, png_fixed_point green_y,
   png_fixed_point blue_x, png_fixed_point blue_y)
{
   int ret = 1;
677
   unsigned long xy_hi,xy_lo,yx_hi,yx_lo;
678 679

   png_debug(1, "in function png_check_cHRM_fixed");
680

681 682 683
   if (png_ptr == NULL)
      return 0;

684 685 686 687
   if (white_x < 0 || white_y <= 0 ||
         red_x < 0 ||   red_y <  0 ||
       green_x < 0 || green_y <  0 ||
        blue_x < 0 ||  blue_y <  0)
688 689 690 691 692
   {
      png_warning(png_ptr,
        "Ignoring attempt to set negative chromaticity value");
      ret = 0;
   }
693 694 695 696 697 698 699 700
   if (white_x > (png_fixed_point)PNG_UINT_31_MAX ||
       white_y > (png_fixed_point)PNG_UINT_31_MAX ||
         red_x > (png_fixed_point)PNG_UINT_31_MAX ||
         red_y > (png_fixed_point)PNG_UINT_31_MAX ||
       green_x > (png_fixed_point)PNG_UINT_31_MAX ||
       green_y > (png_fixed_point)PNG_UINT_31_MAX ||
        blue_x > (png_fixed_point)PNG_UINT_31_MAX ||
        blue_y > (png_fixed_point)PNG_UINT_31_MAX )
701 702 703 704 705
   {
      png_warning(png_ptr,
        "Ignoring attempt to set chromaticity value exceeding 21474.83");
      ret = 0;
   }
706
   if (white_x > 100000L - white_y)
707 708 709 710
   {
      png_warning(png_ptr, "Invalid cHRM white point");
      ret = 0;
   }
711

712
   if (red_x > 100000L - red_y)
713 714 715 716
   {
      png_warning(png_ptr, "Invalid cHRM red point");
      ret = 0;
   }
717

718
   if (green_x > 100000L - green_y)
719 720 721 722
   {
      png_warning(png_ptr, "Invalid cHRM green point");
      ret = 0;
   }
723

724
   if (blue_x > 100000L - blue_y)
725 726 727 728
   {
      png_warning(png_ptr, "Invalid cHRM blue point");
      ret = 0;
   }
729 730 731 732 733 734 735 736 737 738 739

   png_64bit_product(green_x - red_x, blue_y - red_y, &xy_hi, &xy_lo);
   png_64bit_product(green_y - red_y, blue_x - red_x, &yx_hi, &yx_lo);

   if (xy_hi == yx_hi && xy_lo == yx_lo)
   {
      png_warning(png_ptr,
         "Ignoring attempt to set cHRM RGB triangle with zero area");
      ret = 0;
   }

740 741
   return ret;
}
G
[devel]  
Glenn Randers-Pehrson 已提交
742
#  endif /* PNG_CHECK_cHRM_SUPPORTED */
743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764

void /* PRIVATE */
png_check_IHDR(png_structp png_ptr,
   png_uint_32 width, png_uint_32 height, int bit_depth,
   int color_type, int interlace_type, int compression_type,
   int filter_type)
{
   int error = 0;

   /* Check for width and height valid values */
   if (width == 0)
   {
      png_warning(png_ptr, "Image width is zero in IHDR");
      error = 1;
   }

   if (height == 0)
   {
      png_warning(png_ptr, "Image height is zero in IHDR");
      error = 1;
   }

765
#  ifdef PNG_SET_USER_LIMITS_SUPPORTED
766
   if (width > png_ptr->user_width_max || width > PNG_USER_WIDTH_MAX)
767

768
#  else
769
   if (width > PNG_USER_WIDTH_MAX)
770
#  endif
771 772 773 774 775
   {
      png_warning(png_ptr, "Image width exceeds user limit in IHDR");
      error = 1;
   }

776
#  ifdef PNG_SET_USER_LIMITS_SUPPORTED
777
   if (height > png_ptr->user_height_max || height > PNG_USER_HEIGHT_MAX)
778
#  else
779
   if (height > PNG_USER_HEIGHT_MAX)
780
#  endif
781 782 783 784 785
   {
      png_warning(png_ptr, "Image height exceeds user limit in IHDR");
      error = 1;
   }

786
   if (width > PNG_UINT_31_MAX)
787
   {
788
      png_warning(png_ptr, "Invalid image width in IHDR");
789 790 791
      error = 1;
   }

792
   if (height > PNG_UINT_31_MAX)
793
   {
794
      png_warning(png_ptr, "Invalid image height in IHDR");
795 796 797
      error = 1;
   }

798
   if (width > (PNG_UINT_32_MAX
799
                 >> 3)      /* 8-byte RGBA pixels */
800
                 - 48       /* bigrowbuf hack */
801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841
                 - 1        /* filter byte */
                 - 7*8      /* rounding of width to multiple of 8 pixels */
                 - 8)       /* extra max_pixel_depth pad */
      png_warning(png_ptr, "Width is too large for libpng to process pixels");

   /* Check other values */
   if (bit_depth != 1 && bit_depth != 2 && bit_depth != 4 &&
       bit_depth != 8 && bit_depth != 16)
   {
      png_warning(png_ptr, "Invalid bit depth in IHDR");
      error = 1;
   }

   if (color_type < 0 || color_type == 1 ||
       color_type == 5 || color_type > 6)
   {
      png_warning(png_ptr, "Invalid color type in IHDR");
      error = 1;
   }

   if (((color_type == PNG_COLOR_TYPE_PALETTE) && bit_depth > 8) ||
       ((color_type == PNG_COLOR_TYPE_RGB ||
         color_type == PNG_COLOR_TYPE_GRAY_ALPHA ||
         color_type == PNG_COLOR_TYPE_RGB_ALPHA) && bit_depth < 8))
   {
      png_warning(png_ptr, "Invalid color type/bit depth combination in IHDR");
      error = 1;
   }

   if (interlace_type >= PNG_INTERLACE_LAST)
   {
      png_warning(png_ptr, "Unknown interlace method in IHDR");
      error = 1;
   }

   if (compression_type != PNG_COMPRESSION_TYPE_BASE)
   {
      png_warning(png_ptr, "Unknown compression method in IHDR");
      error = 1;
   }

842
#  ifdef PNG_MNG_FEATURES_SUPPORTED
843 844 845 846 847 848 849 850 851 852 853 854 855 856 857
   /* Accept filter_method 64 (intrapixel differencing) only if
    * 1. Libpng was compiled with PNG_MNG_FEATURES_SUPPORTED and
    * 2. Libpng did not read a PNG signature (this filter_method is only
    *    used in PNG datastreams that are embedded in MNG datastreams) and
    * 3. The application called png_permit_mng_features with a mask that
    *    included PNG_FLAG_MNG_FILTER_64 and
    * 4. The filter_method is 64 and
    * 5. The color_type is RGB or RGBA
    */
   if ((png_ptr->mode & PNG_HAVE_PNG_SIGNATURE) &&
       png_ptr->mng_features_permitted)
      png_warning(png_ptr, "MNG features are not allowed in a PNG datastream");

   if (filter_type != PNG_FILTER_TYPE_BASE)
   {
858
      if (!((png_ptr->mng_features_permitted & PNG_FLAG_MNG_FILTER_64) &&
859 860 861 862
          (filter_type == PNG_INTRAPIXEL_DIFFERENCING) &&
          ((png_ptr->mode & PNG_HAVE_PNG_SIGNATURE) == 0) &&
          (color_type == PNG_COLOR_TYPE_RGB ||
          color_type == PNG_COLOR_TYPE_RGB_ALPHA)))
863 864 865 866
      {
         png_warning(png_ptr, "Unknown filter method in IHDR");
         error = 1;
      }
867

868 869 870 871 872 873
      if (png_ptr->mode & PNG_HAVE_PNG_SIGNATURE)
      {
         png_warning(png_ptr, "Invalid filter method in IHDR");
         error = 1;
      }
   }
874

875
#  else
876 877 878 879 880
   if (filter_type != PNG_FILTER_TYPE_BASE)
   {
      png_warning(png_ptr, "Unknown filter method in IHDR");
      error = 1;
   }
881
#  endif
882 883 884 885

   if (error == 1)
      png_error(png_ptr, "Invalid IHDR data");
}
G
[devel]  
Glenn Randers-Pehrson 已提交
886 887 888 889 890 891 892 893 894 895 896 897 898 899 900 901 902 903

#if defined(PNG_sCAL_SUPPORTED) || defined(PNG_pCAL_SUPPORTED)
/* ASCII to fp functions */
/* Check an ASCII formated floating point value, see the more detailed
 * comments in pngpriv.h
 */
/* The following is used internally to preserve the 'valid' flag */
#define png_fp_add(state, flags) ((state) |= (flags))
#define png_fp_set(state, value)\
   ((state) = (value) | ((state) & PNG_FP_WAS_VALID))

/* Internal type codes: bits above the base state! */
#define PNG_FP_SIGN   0  /* [+-] */
#define PNG_FP_DOT    4  /* . */
#define PNG_FP_DIGIT  8  /* [0123456789] */
#define PNG_FP_E     12  /* [Ee] */

int /* PRIVATE */
904
png_check_fp_number(png_const_charp string, png_size_t size, int *statep,
G
[devel]  
Glenn Randers-Pehrson 已提交
905 906 907 908 909 910 911 912 913 914
   png_size_tp whereami)
{
   int state = *statep;
   png_size_t i = *whereami;

   while (i < size)
   {
      int type;
      /* First find the type of the next character */
      {
915
         char ch = string[i];
916

917 918
         if (ch >= 48 && ch <= 57)
            type = PNG_FP_DIGIT;
919

920 921 922 923 924 925 926
         else switch (ch)
         {
         case 43: case 45:  type = PNG_FP_SIGN;  break;
         case 46:           type = PNG_FP_DOT;   break;
         case 69: case 101: type = PNG_FP_E;     break;
         default:           goto PNG_FP_End;
         }
G
[devel]  
Glenn Randers-Pehrson 已提交
927 928 929 930 931 932 933 934 935
      }

      /* Now deal with this type according to the current
       * state, the type is arranged to not overlap the
       * bits of the PNG_FP_STATE.
       */
      switch ((state & PNG_FP_STATE) + type)
      {
      case PNG_FP_INTEGER + PNG_FP_SIGN:
936 937
         if (state & PNG_FP_SAW_ANY)
            goto PNG_FP_End; /* not a part of the number */
938

939 940
         png_fp_add(state, PNG_FP_SAW_SIGN);
         break;
941

G
[devel]  
Glenn Randers-Pehrson 已提交
942
      case PNG_FP_INTEGER + PNG_FP_DOT:
943 944 945
         /* Ok as trailer, ok as lead of fraction. */
         if (state & PNG_FP_SAW_DOT) /* two dots */
            goto PNG_FP_End;
946

947 948
         else if (state & PNG_FP_SAW_DIGIT) /* trailing dot? */
            png_fp_add(state, PNG_FP_SAW_DOT);
949

950 951
         else
            png_fp_set(state, PNG_FP_FRACTION | PNG_FP_SAW_DOT);
952

953
         break;
954

G
[devel]  
Glenn Randers-Pehrson 已提交
955
      case PNG_FP_INTEGER + PNG_FP_DIGIT:
956 957
         if (state & PNG_FP_SAW_DOT) /* delayed fraction */
            png_fp_set(state, PNG_FP_FRACTION | PNG_FP_SAW_DOT);
958

959
         png_fp_add(state, PNG_FP_SAW_DIGIT + PNG_FP_WAS_VALID);
960

961
         break;
G
[devel]  
Glenn Randers-Pehrson 已提交
962
      case PNG_FP_INTEGER + PNG_FP_E:
963 964
         if ((state & PNG_FP_SAW_DIGIT) == 0)
            goto PNG_FP_End;
965

966
         png_fp_set(state, PNG_FP_EXPONENT);
967

968
         break;
969

G
[devel]  
Glenn Randers-Pehrson 已提交
970
   /* case PNG_FP_FRACTION + PNG_FP_SIGN:
971
         goto PNG_FP_End; ** no sign in exponent */
972

G
[devel]  
Glenn Randers-Pehrson 已提交
973
   /* case PNG_FP_FRACTION + PNG_FP_DOT:
974
         goto PNG_FP_End; ** Because SAW_DOT is always set */
975

G
[devel]  
Glenn Randers-Pehrson 已提交
976
      case PNG_FP_FRACTION + PNG_FP_DIGIT:
977 978
         png_fp_add(state, PNG_FP_SAW_DIGIT + PNG_FP_WAS_VALID);
         break;
979

G
[devel]  
Glenn Randers-Pehrson 已提交
980
      case PNG_FP_FRACTION + PNG_FP_E:
981 982 983 984 985 986
         /* This is correct because the trailing '.' on an
          * integer is handled above - so we can only get here
          * with the sequence ".E" (with no preceding digits).
          */
         if ((state & PNG_FP_SAW_DIGIT) == 0)
            goto PNG_FP_End;
987

988
         png_fp_set(state, PNG_FP_EXPONENT);
989

990
         break;
991

G
[devel]  
Glenn Randers-Pehrson 已提交
992
      case PNG_FP_EXPONENT + PNG_FP_SIGN:
993 994
         if (state & PNG_FP_SAW_ANY)
            goto PNG_FP_End; /* not a part of the number */
995

996
         png_fp_add(state, PNG_FP_SAW_SIGN);
997

998
         break;
999

G
[devel]  
Glenn Randers-Pehrson 已提交
1000
   /* case PNG_FP_EXPONENT + PNG_FP_DOT:
1001
         goto PNG_FP_End; */
1002

G
[devel]  
Glenn Randers-Pehrson 已提交
1003
      case PNG_FP_EXPONENT + PNG_FP_DIGIT:
1004
         png_fp_add(state, PNG_FP_SAW_DIGIT + PNG_FP_WAS_VALID);
1005

1006
         break;
1007

G
[devel]  
Glenn Randers-Pehrson 已提交
1008
   /* case PNG_FP_EXPONEXT + PNG_FP_E:
1009
         goto PNG_FP_End; */
1010

G
[devel]  
Glenn Randers-Pehrson 已提交
1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024 1025 1026 1027 1028 1029 1030
      default: goto PNG_FP_End; /* I.e. break 2 */
      }

      /* The character seems ok, continue. */
      ++i;
   }

PNG_FP_End:
   /* Here at the end, update the state and return the correct
    * return code.
    */
   *statep = state;
   *whereami = i;

   return (state & PNG_FP_SAW_DIGIT) != 0;
}


/* The same but for a complete string. */
int
1031
png_check_fp_string(png_const_charp string, png_size_t size)
G
[devel]  
Glenn Randers-Pehrson 已提交
1032 1033
{
   int        state=0;
1034
   png_size_t char_index=0;
G
[devel]  
Glenn Randers-Pehrson 已提交
1035

1036 1037
   return png_check_fp_number(string, size, &state, &char_index) &&
      (char_index == size || string[char_index] == 0);
G
[devel]  
Glenn Randers-Pehrson 已提交
1038 1039 1040 1041 1042 1043 1044 1045 1046 1047 1048 1049 1050
}
#endif /* pCAL or sCAL */

#ifdef PNG_READ_sCAL_SUPPORTED
#  ifdef PNG_FLOATING_POINT_SUPPORTED
/* Utility used below - a simple accurate power of ten from an integral
 * exponent.
 */
static double
png_pow10(int power)
{
   int recip = 0;
   double d = 1;
1051

G
[devel]  
Glenn Randers-Pehrson 已提交
1052 1053 1054 1055
   /* Handle negative exponent with a reciprocal at the end because
    * 10 is exact whereas .1 is inexact in base 2
    */
   if (power < 0)
1056 1057
   {
      if (power < DBL_MIN_10_EXP) return 0;
G
[devel]  
Glenn Randers-Pehrson 已提交
1058
      recip = 1, power = -power;
1059
   }
1060

G
[devel]  
Glenn Randers-Pehrson 已提交
1061 1062 1063 1064 1065 1066 1067
   if (power > 0)
   {
      /* Decompose power bitwise. */
      double mult = 10;
      do
      {
         if (power & 1) d *= mult;
1068 1069
         mult *= mult;
         power >>= 1;
G
[devel]  
Glenn Randers-Pehrson 已提交
1070 1071 1072 1073 1074 1075 1076 1077 1078 1079 1080 1081 1082 1083 1084
      }
      while (power > 0);

      if (recip) d = 1/d;
   }
   /* else power is 0 and d is 1 */

   return d;
}

/* Function to format a floating point value in ASCII with a given
 * precision.
 */
void /* PRIVATE */
png_ascii_from_fp(png_structp png_ptr, png_charp ascii, png_size_t size,
1085
    double fp, unsigned int precision)
G
[devel]  
Glenn Randers-Pehrson 已提交
1086 1087 1088 1089 1090 1091 1092 1093 1094 1095 1096 1097 1098 1099 1100 1101 1102 1103 1104
{
   /* We use standard functions from math.h, but not printf because
    * that would require stdio.  The caller must supply a buffer of
    * sufficient size or we will png_error.  The tests on size and
    * the space in ascii[] consumed are indicated below.
    */
   if (precision < 1)
      precision = DBL_DIG;

   /* Enforce the limit of the implementation precision too. */
   if (precision > DBL_DIG+1)
      precision = DBL_DIG+1;

   /* Basic sanity checks */
   if (size >= precision+5) /* See the requirements below. */
   {
      if (fp < 0)
      {
         fp = -fp;
1105 1106
         *ascii++ = 45; /* '-'  PLUS 1 TOTAL 1*/
         --size;
G
[devel]  
Glenn Randers-Pehrson 已提交
1107 1108 1109 1110
      }

      if (fp >= DBL_MIN && fp <= DBL_MAX)
      {
1111 1112
         int exp_b10;       /* A base 10 exponent */
         double base;   /* 10^exp_b10 */
1113 1114 1115 1116

         /* First extract a base 10 exponent of the number,
          * the calculation below rounds down when converting
          * from base 2 to base 10 (multiply by log10(2) -
1117
          * 0.3010, but 77/256 is 0.3008, so exp_b10 needs to
1118 1119 1120 1121 1122
          * be increased.  Note that the arithmetic shift
          * performs a floor() unlike C arithmetic - using a
          * C multiply would break the following for negative
          * exponents.
          */
1123
         (void)frexp(fp, &exp_b10); /* exponent to base 2 */
1124

1125
         exp_b10 = (exp_b10 * 77) >> 8; /* <= exponent to base 10 */
1126

1127
         /* Avoid underflow here. */
1128
         base = png_pow10(exp_b10); /* May underflow */
1129

1130 1131 1132
         while (base < DBL_MIN || base < fp)
         {
            /* And this may overflow. */
1133
            double test = png_pow10(exp_b10+1);
1134

1135
            if (test <= DBL_MAX)
1136
               ++exp_b10, base = test;
1137

1138 1139 1140 1141
            else
               break;
         }

1142 1143
         /* Normalize fp and correct exp_b10, after this fp is in the
          * range [.1,1) and exp_b10 is both the exponent and the digit
1144 1145
          * *before* which the decimal point should be inserted
          * (starting with 0 for the first digit).  Note that this
1146
          * works even if 10^exp_b10 is out of range because of the
1147 1148 1149
          * test on DBL_MAX above.
          */
         fp /= base;
1150
         while (fp >= 1) fp /= 10, ++exp_b10;
1151 1152 1153 1154 1155 1156 1157 1158 1159 1160 1161 1162 1163 1164

         /* Because of the code above fp may, at this point, be
          * less than .1, this is ok because the code below can
          * handle the leading zeros this generates, so no attempt
          * is made to correct that here.
          */

         {
            int czero, clead, cdigits;
            char exponent[10];

            /* Allow up to two leading zeros - this will not lengthen
             * the number compared to using E-n.
             */
1165
            if (exp_b10 < 0 && exp_b10 > -3) /* PLUS 3 TOTAL 4 */
1166
            {
1167 1168
               czero = -exp_b10; /* PLUS 2 digits: TOTAL 3 */
               exp_b10 = 0;      /* Dot added below before first output. */
1169 1170 1171 1172 1173 1174 1175 1176 1177
            }
            else
               czero = 0;    /* No zeros to add */

            /* Generate the digit list, stripping trailing zeros and
             * inserting a '.' before a digit if the exponent is 0.
             */
            clead = czero; /* Count of leading zeros */
            cdigits = 0;   /* Count of digits in list. */
1178

1179 1180 1181 1182 1183 1184
            do
            {
               double d;

               fp *= 10;
               /* Use modf here, not floor and subtract, so that
1185 1186 1187 1188
                * the separation is done in one step.  At the end
                * of the loop don't break the number into parts so
                * that the final digit is rounded.
                */
1189
               if (cdigits+czero-clead+1 < (int)precision)
1190
                  fp = modf(fp, &d);
1191

1192 1193
               else
               {
1194 1195 1196 1197 1198 1199 1200 1201 1202
                  d = floor(fp + .5);

                  if (d > 9)
                  {
                     /* Rounding up to 10, handle that here. */
                     if (czero > 0)
                     {
                        --czero, d = 1;
                        if (cdigits == 0) --clead;
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1203
                     }
1204 1205 1206 1207 1208 1209
                     else
                     {
                        while (cdigits > 0 && d > 9)
                        {
                           int ch = *--ascii;

1210 1211
                           if (exp_b10 != (-1))
                              ++exp_b10;
1212 1213 1214 1215

                           else if (ch == 46)
                           {
                              ch = *--ascii, ++size;
1216
                              /* Advance exp_b10 to '1', so that the
1217 1218 1219
                               * decimal point happens after the
                               * previous digit.
                               */
1220
                              exp_b10 = 1;
1221 1222 1223 1224 1225 1226 1227 1228 1229 1230 1231 1232
                           }

                           --cdigits;
                           d = ch - 47;  /* I.e. 1+(ch-48) */
                        }

                        /* Did we reach the beginning? If so adjust the
                         * exponent but take into account the leading
                         * decimal point.
                         */
                        if (d > 9)  /* cdigits == 0 */
                        {
1233
                           if (exp_b10 == (-1))
1234 1235 1236 1237 1238 1239 1240 1241
                           {
                              /* Leading decimal point (plus zeros?), if
                               * we lose the decimal point here it must
                               * be reentered below.
                               */
                              int ch = *--ascii;

                              if (ch == 46)
1242
                                 ++size, exp_b10 = 1;
1243

1244
                              /* Else lost a leading zero, so 'exp_b10' is
1245 1246 1247 1248
                               * still ok at (-1)
                               */
                           }
                           else
1249
                              ++exp_b10;
1250 1251 1252 1253 1254 1255 1256

                           /* In all cases we output a '1' */
                           d = 1;
                        }
                     }
                  }
                  fp = 0; /* Guarantees termination below. */
1257 1258 1259 1260
               }

               if (d == 0)
               {
1261 1262
                  ++czero;
                  if (cdigits == 0) ++clead;
1263 1264 1265
               }
               else
               {
1266 1267 1268 1269 1270 1271
                  /* Included embedded zeros in the digit count. */
                  cdigits += czero - clead;
                  clead = 0;

                  while (czero > 0)
                  {
1272 1273
                     /* exp_b10 == (-1) means we just output the decimal
                      * place - after the DP don't adjust 'exp_b10' any
1274 1275
                      * more!
                      */
1276
                     if (exp_b10 != (-1))
1277
                     {
1278
                        if (exp_b10 == 0) *ascii++ = 46, --size;
1279
                        /* PLUS 1: TOTAL 4 */
1280
                        --exp_b10;
1281 1282 1283 1284
                     }
                     *ascii++ = 48, --czero;
                  }

1285
                  if (exp_b10 != (-1))
1286
                  {
1287 1288 1289
                     if (exp_b10 == 0) *ascii++ = 46, --size; /* counted
                                                                 above */
                     --exp_b10;
1290
                  }
1291
                  *ascii++ = (char)(48 + (int)d), ++cdigits;
1292 1293 1294 1295 1296 1297 1298 1299
               }
            }
            while (cdigits+czero-clead < (int)precision && fp > DBL_MIN);

            /* The total output count (max) is now 4+precision */

            /* Check for an exponent, if we don't need one we are
             * done and just need to terminate the string.  At
1300
             * this point exp_b10==(-1) is effectively if flag - it got
1301 1302 1303 1304
             * to '-1' because of the decrement after outputing
             * the decimal point above (the exponent required is
             * *not* -1!)
             */
1305
            if (exp_b10 >= (-1) && exp_b10 <= 2)
1306 1307
            {
               /* The following only happens if we didn't output the
1308 1309 1310 1311 1312 1313
                * leading zeros above for negative exponent, so this
                * doest add to the digit requirement.  Note that the
                * two zeros here can only be output if the two leading
                * zeros were *not* output, so this doesn't increase
                * the output count.
                */
1314
               while (--exp_b10 >= 0) *ascii++ = 48;
1315

1316
               *ascii = 0;
1317

1318
               /* Total buffer requirement (including the '\0') is
1319 1320
                * 5+precision - see check at the start.
                */
1321 1322 1323 1324 1325 1326 1327 1328 1329 1330 1331 1332
               return;
            }

            /* Here if an exponent is required, adjust size for
             * the digits we output but did not count.  The total
             * digit output here so far is at most 1+precision - no
             * decimal point and no leading or trailing zeros have
             * been output.
             */
            size -= cdigits;

            *ascii++ = 69, --size;    /* 'E': PLUS 1 TOTAL 2+precision*/
1333
            if (exp_b10 < 0)
1334 1335
            {
               *ascii++ = 45, --size; /* '-': PLUS 1 TOTAL 3+precision */
1336
               exp_b10 = -exp_b10;
1337 1338 1339
            }

            cdigits = 0;
1340

1341
            while (exp_b10 > 0)
1342
            {
1343 1344
               exponent[cdigits++] = (char)(48 + exp_b10 % 10);
               exp_b10 /= 10;
1345 1346 1347 1348 1349 1350 1351 1352
            }

            /* Need another size check here for the exponent digits, so
             * this need not be considered above.
             */
            if ((int)size > cdigits)
            {
               while (cdigits > 0) *ascii++ = exponent[--cdigits];
1353

1354
               *ascii = 0;
1355

1356 1357 1358
               return;
            }
         }
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1359 1360 1361 1362
      }
      else if (!(fp >= DBL_MIN))
      {
         *ascii++ = 48; /* '0' */
1363 1364
         *ascii = 0;
         return;
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1365 1366 1367 1368
      }
      else
      {
         *ascii++ = 105; /* 'i' */
1369 1370 1371 1372
         *ascii++ = 110; /* 'n' */
         *ascii++ = 102; /* 'f' */
         *ascii = 0;
         return;
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      }
   }

   /* Here on buffer too small. */
1377
   png_error(png_ptr, "ASCII conversion buffer too small");
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}

#  endif /* FLOATING_POINT */
1381 1382 1383 1384 1385 1386 1387 1388 1389 1390 1391 1392 1393 1394 1395 1396 1397 1398 1399 1400 1401 1402 1403

#  ifdef PNG_FIXED_POINT_SUPPORTED
/* Function to format a fixed point value in ASCII.
 */
void /* PRIVATE */
png_ascii_from_fixed(png_structp png_ptr, png_charp ascii, png_size_t size,
    png_fixed_point fp)
{
   /* Require space for 10 decimal digits, a decimal point, a minus sign and a
    * trailing \0, 13 characters:
    */
   if (size > 12)
   {
      png_uint_32 num;

      /* Avoid overflow here on the minimum integer. */
      if (fp < 0)
         *ascii++ = 45, --size, num = -fp;
      else
         num = fp;

      if (num <= 0x80000000U) /* else overflowed */
      {
1404
         unsigned int ndigits = 0, first = 16/*flag value*/;
1405 1406
         char digits[10];

1407 1408 1409
         while (num)
         {
            /* Split the low digit off num: */
1410
            unsigned int tmp = num/10;
1411 1412 1413 1414 1415 1416 1417 1418 1419 1420 1421 1422 1423 1424 1425 1426 1427 1428 1429
            num -= tmp*10;
            digits[ndigits++] = (char)(48 + num);
            /* Record the first non-zero digit, note that this is a number
             * starting at 1, it's not actually the array index.
             */
            if (first == 16 && num > 0)
               first = ndigits;
            num = tmp;
         }

         if (ndigits > 0)
         {
            while (ndigits > 5) *ascii++ = digits[--ndigits];
            /* The remaining digits are fractional digits, ndigits is '5' or
             * smaller at this point.  It is certainly not zero.  Check for a
             * non-zero fractional digit:
             */
            if (first <= 5)
            {
1430
               unsigned int i;
1431
               *ascii++ = 46; /* decimal point */
1432 1433 1434
               /* ndigits may be <5 for small numbers, output leading zeros
                * then ndigits digits to first:
                */
1435 1436 1437 1438 1439 1440 1441 1442 1443 1444 1445 1446
               i = 5;
               while (ndigits < i) *ascii++ = 48, --i;
               while (ndigits >= first) *ascii++ = digits[--ndigits];
               /* Don't output the trailing zeros! */
            }
         }
         else
            *ascii++ = 48;

         /* And null terminate the string: */
         *ascii = 0;
         return;
1447 1448 1449 1450 1451 1452 1453
      }
   }

   /* Here on buffer too small. */
   png_error(png_ptr, "ASCII conversion buffer too small");
}
#   endif /* FIXED_POINT */
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#endif /* READ_SCAL */

1456
#if defined(PNG_FLOATING_POINT_SUPPORTED) && \
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1457 1458 1459 1460 1461
   !defined(PNG_FIXED_POINT_MACRO_SUPPORTED)
png_fixed_point
png_fixed(png_structp png_ptr, double fp, png_const_charp text)
{
   double r = floor(100000 * fp + .5);
1462

1463 1464
   if (r > 2147483647. || r < -2147483648.)
      png_fixed_error(png_ptr, text);
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1466
   return (png_fixed_point)r;
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}
#endif

1470
#if defined(PNG_READ_GAMMA_SUPPORTED) || \
1471
    defined(PNG_INCH_CONVERSIONS_SUPPORTED) || defined(PNG__READ_pHYs_SUPPORTED)
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/* muldiv functions */
/* This API takes signed arguments and rounds the result to the nearest
 * integer (or, for a fixed point number - the standard argument - to
 * the nearest .00001).  Overflow and divide by zero are signalled in
 * the result, a boolean - true on success, false on overflow.
 */
int
png_muldiv(png_fixed_point_p res, png_fixed_point a, png_int_32 times,
1480
    png_int_32 divisor)
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{
1482 1483
   /* Return a * times / divisor, rounded. */
   if (divisor != 0)
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1484 1485 1486
   {
      if (a == 0 || times == 0)
      {
1487
         *res = 0;
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1488 1489 1490 1491 1492
         return 1;
      }
      else
      {
#ifdef PNG_FLOATING_ARITHMETIC_SUPPORTED
1493 1494
         double r = a;
         r *= times;
1495
         r /= divisor;
1496
         r = floor(r+.5);
1497

1498 1499 1500 1501 1502 1503
         /* A png_fixed_point is a 32 bit integer. */
         if (r <= 2147483647. && r >= -2147483648.)
         {
            *res = (png_fixed_point)r;
            return 1;
         }
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#else
1505 1506
         int negative = 0;
         png_uint_32 A, T, D;
1507
         png_uint_32 s16, s32, s00;
1508 1509 1510 1511 1512 1513 1514 1515 1516 1517 1518

         if (a < 0)
            negative = 1, A = -a;
         else
            A = a;

         if (times < 0)
            negative = !negative, T = -times;
         else
            T = times;

1519 1520
         if (divisor < 0)
            negative = !negative, D = -divisor;
1521
         else
1522
            D = divisor;
1523 1524 1525 1526

         /* Following can't overflow because the arguments only
          * have 31 bits each, however the result may be 32 bits.
          */
1527
         s16 = (A >> 16) * (T & 0xffff) +
1528
                           (A & 0xffff) * (T >> 16);
1529 1530 1531
         /* Can't overflow because the a*times bit is only 30
          * bits at most.
          */
1532 1533
         s32 = (A >> 16) * (T >> 16) + (s16 >> 16);
         s00 = (A & 0xffff) * (T & 0xffff);
1534 1535 1536

         s16 = (s16 & 0xffff) << 16;
         s00 += s16;
1537 1538 1539

         if (s00 < s16)
            ++s32; /* carry */
1540 1541 1542 1543 1544 1545 1546 1547 1548 1549 1550 1551 1552

         if (s32 < D) /* else overflow */
         {
            /* s32.s00 is now the 64 bit product, do a standard
             * division, we know that s32 < D, so the maximum
             * required shift is 31.
             */
            int bitshift = 32;
            png_fixed_point result = 0; /* NOTE: signed */

            while (--bitshift >= 0)
            {
               png_uint_32 d32, d00;
1553

1554 1555
               if (bitshift > 0)
                  d32 = D >> (32-bitshift), d00 = D << bitshift;
1556

1557 1558 1559 1560 1561
               else
                  d32 = 0, d00 = D;

               if (s32 > d32)
               {
1562
                  if (s00 < d00) --s32; /* carry */
1563 1564
                  s32 -= d32, s00 -= d00, result += 1<<bitshift;
               }
1565

1566 1567 1568
               else
                  if (s32 == d32 && s00 >= d00)
                     s32 = 0, s00 -= d00, result += 1<<bitshift;
1569 1570 1571
            }

            /* Handle the rounding. */
1572 1573
            if (s00 >= (D >> 1))
               ++result;
1574

1575 1576
            if (negative)
               result = -result;
1577 1578

            /* Check for overflow. */
1579
            if ((negative && result <= 0) || (!negative && result >= 0))
1580 1581 1582 1583 1584
            {
               *res = result;
               return 1;
            }
         }
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#endif
      }
   }

   return 0;
}
#endif /* READ_GAMMA || INCH_CONVERSIONS */

#if defined(PNG_READ_GAMMA_SUPPORTED) || defined(PNG_INCH_CONVERSIONS_SUPPORTED)
/* The following is for when the caller doesn't much care about the
 * result.
 */
png_fixed_point
png_muldiv_warn(png_structp png_ptr, png_fixed_point a, png_int_32 times,
1599
    png_int_32 divisor)
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{
   png_fixed_point result;
1602

1603
   if (png_muldiv(&result, a, times, divisor))
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1604 1605 1606 1607 1608 1609 1610 1611 1612 1613 1614 1615 1616 1617
      return result;

   png_warning(png_ptr, "fixed point overflow ignored");
   return 0;
}
#endif

#ifdef PNG_READ_GAMMA_SUPPORTED /* more fixed point functions for gammma */
/* Calculate a reciprocal, return 0 on div-by-zero or overflow. */
png_fixed_point
png_reciprocal(png_fixed_point a)
{
#ifdef PNG_FLOATING_ARITHMETIC_SUPPORTED
   double r = floor(1E10/a+.5);
1618

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1619 1620 1621 1622
   if (r <= 2147483647. && r >= -2147483648.)
      return (png_fixed_point)r;
#else
   png_fixed_point res;
1623

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1624 1625 1626 1627 1628 1629 1630 1631 1632 1633 1634
   if (png_muldiv(&res, 100000, 100000, a))
      return res;
#endif

   return 0; /* error/overflow */
}

/* A local convenience routine. */
static png_fixed_point
png_product2(png_fixed_point a, png_fixed_point b)
{
1635
   /* The required result is 1/a * 1/b; the following preserves accuracy. */
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#ifdef PNG_FLOATING_ARITHMETIC_SUPPORTED
   double r = a * 1E-5;
   r *= b;
   r = floor(r+.5);
1640

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   if (r <= 2147483647. && r >= -2147483648.)
      return (png_fixed_point)r;
#else
   png_fixed_point res;
1645

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1646 1647 1648 1649 1650 1651 1652 1653 1654 1655 1656
   if (png_muldiv(&res, a, b, 100000))
      return res;
#endif

   return 0; /* overflow */
}

/* The inverse of the above. */
png_fixed_point
png_reciprocal2(png_fixed_point a, png_fixed_point b)
{
1657
   /* The required result is 1/a * 1/b; the following preserves accuracy. */
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#ifdef PNG_FLOATING_ARITHMETIC_SUPPORTED
   double r = 1E15/a;
   r /= b;
   r = floor(r+.5);
1662

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1663 1664 1665 1666 1667 1668 1669 1670 1671
   if (r <= 2147483647. && r >= -2147483648.)
      return (png_fixed_point)r;
#else
   /* This may overflow because the range of png_fixed_point isn't symmetric,
    * but this API is only used for the product of file and screen gamma so it
    * doesn't matter that the smallest number it can produce is 1/21474, not
    * 1/100000
    */
   png_fixed_point res = png_product2(a, b);
1672

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1673 1674 1675 1676 1677 1678 1679 1680 1681 1682 1683 1684 1685 1686 1687 1688 1689 1690 1691 1692 1693 1694 1695 1696 1697 1698 1699 1700
   if (res != 0)
      return png_reciprocal(res);
#endif

   return 0; /* overflow */
}
#endif /* READ_GAMMA */

#ifdef PNG_CHECK_cHRM_SUPPORTED
/* Added at libpng version 1.2.34 (Dec 8, 2008) and 1.4.0 (Jan 2,
 * 2010: moved from pngset.c) */
/*
 *    Multiply two 32-bit numbers, V1 and V2, using 32-bit
 *    arithmetic, to produce a 64 bit result in the HI/LO words.
 *
 *                  A B
 *                x C D
 *               ------
 *              AD || BD
 *        AC || CB || 0
 *
 *    where A and B are the high and low 16-bit words of V1,
 *    C and D are the 16-bit words of V2, AD is the product of
 *    A and D, and X || Y is (X << 16) + Y.
*/

void /* PRIVATE */
png_64bit_product (long v1, long v2, unsigned long *hi_product,
1701
    unsigned long *lo_product)
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1702 1703 1704 1705 1706 1707 1708 1709 1710 1711 1712 1713 1714 1715 1716 1717 1718 1719 1720 1721 1722 1723 1724 1725 1726 1727 1728 1729 1730 1731 1732 1733 1734 1735 1736 1737 1738 1739 1740 1741 1742 1743 1744 1745 1746 1747 1748 1749 1750 1751 1752 1753 1754 1755 1756 1757 1758 1759 1760 1761 1762 1763 1764 1765 1766 1767 1768 1769 1770 1771
{
   int a, b, c, d;
   long lo, hi, x, y;

   a = (v1 >> 16) & 0xffff;
   b = v1 & 0xffff;
   c = (v2 >> 16) & 0xffff;
   d = v2 & 0xffff;

   lo = b * d;                   /* BD */
   x = a * d + c * b;            /* AD + CB */
   y = ((lo >> 16) & 0xffff) + x;

   lo = (lo & 0xffff) | ((y & 0xffff) << 16);
   hi = (y >> 16) & 0xffff;

   hi += a * c;                  /* AC */

   *hi_product = (unsigned long)hi;
   *lo_product = (unsigned long)lo;
}
#endif /* CHECK_cHRM */

#ifdef PNG_READ_GAMMA_SUPPORTED /* gamma table code */
#ifndef PNG_FLOATING_ARITHMETIC_SUPPORTED
/* Fixed point gamma.
 *
 * To calculate gamma this code implements fast log() and exp() calls using only
 * fixed point arithmetic.  This code has sufficient precision for either 8 or
 * 16 bit sample values.
 *
 * The tables used here were calculated using simple 'bc' programs, but C double
 * precision floating point arithmetic would work fine.  The programs are given
 * at the head of each table.
 *
 * 8 bit log table
 *   This is a table of -log(value/255)/log(2) for 'value' in the range 128 to
 *   255, so it's the base 2 logarithm of a normalized 8 bit floating point
 *   mantissa.  The numbers are 32 bit fractions.
 */
static png_uint_32
png_8bit_l2[128] =
{
#  if PNG_DO_BC
      for (i=128;i<256;++i) { .5 - l(i/255)/l(2)*65536*65536; }
#  endif
   4270715492U, 4222494797U, 4174646467U, 4127164793U, 4080044201U, 4033279239U,
   3986864580U, 3940795015U, 3895065449U, 3849670902U, 3804606499U, 3759867474U,
   3715449162U, 3671346997U, 3627556511U, 3584073329U, 3540893168U, 3498011834U,
   3455425220U, 3413129301U, 3371120137U, 3329393864U, 3287946700U, 3246774933U,
   3205874930U, 3165243125U, 3124876025U, 3084770202U, 3044922296U, 3005329011U,
   2965987113U, 2926893432U, 2888044853U, 2849438323U, 2811070844U, 2772939474U,
   2735041326U, 2697373562U, 2659933400U, 2622718104U, 2585724991U, 2548951424U,
   2512394810U, 2476052606U, 2439922311U, 2404001468U, 2368287663U, 2332778523U,
   2297471715U, 2262364947U, 2227455964U, 2192742551U, 2158222529U, 2123893754U,
   2089754119U, 2055801552U, 2022034013U, 1988449497U, 1955046031U, 1921821672U,
   1888774511U, 1855902668U, 1823204291U, 1790677560U, 1758320682U, 1726131893U,
   1694109454U, 1662251657U, 1630556815U, 1599023271U, 1567649391U, 1536433567U,
   1505374214U, 1474469770U, 1443718700U, 1413119487U, 1382670639U, 1352370686U,
   1322218179U, 1292211689U, 1262349810U, 1232631153U, 1203054352U, 1173618059U,
   1144320946U, 1115161701U, 1086139034U, 1057251672U, 1028498358U, 999877854U,
   971388940U, 943030410U, 914801076U, 886699767U, 858725327U, 830876614U,
   803152505U, 775551890U, 748073672U, 720716771U, 693480120U, 666362667U,
   639363374U, 612481215U, 585715177U, 559064263U, 532527486U, 506103872U,
   479792461U, 453592303U, 427502463U, 401522014U, 375650043U, 349885648U,
   324227938U, 298676034U, 273229066U, 247886176U, 222646516U, 197509248U,
   172473545U, 147538590U, 122703574U, 97967701U, 73330182U, 48790236U,
   24347096U, 0U
#if 0
   /* The following are the values for 16 bit tables - these work fine for the 8
1772
    * bit conversions but produce very slightly larger errors in the 16 bit log
G
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1773 1774 1775 1776 1777 1778 1779 1780 1781 1782 1783 1784 1785 1786 1787 1788 1789 1790
    * (about 1.2 as opposed to 0.7 absolute error in the final value).  To use
    * these all the shifts below must be adjusted appropriately.
    */
   65166, 64430, 63700, 62976, 62257, 61543, 60835, 60132, 59434, 58741, 58054,
   57371, 56693, 56020, 55352, 54689, 54030, 53375, 52726, 52080, 51439, 50803,
   50170, 49542, 48918, 48298, 47682, 47070, 46462, 45858, 45257, 44661, 44068,
   43479, 42894, 42312, 41733, 41159, 40587, 40020, 39455, 38894, 38336, 37782,
   37230, 36682, 36137, 35595, 35057, 34521, 33988, 33459, 32932, 32408, 31887,
   31369, 30854, 30341, 29832, 29325, 28820, 28319, 27820, 27324, 26830, 26339,
   25850, 25364, 24880, 24399, 23920, 23444, 22970, 22499, 22029, 21562, 21098,
   20636, 20175, 19718, 19262, 18808, 18357, 17908, 17461, 17016, 16573, 16132,
   15694, 15257, 14822, 14390, 13959, 13530, 13103, 12678, 12255, 11834, 11415,
   10997, 10582, 10168, 9756, 9346, 8937, 8531, 8126, 7723, 7321, 6921, 6523,
   6127, 5732, 5339, 4947, 4557, 4169, 3782, 3397, 3014, 2632, 2251, 1872, 1495,
   1119, 744, 372
#endif
};

1791
static png_int_32
1792
png_log8bit(unsigned int x)
G
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Glenn Randers-Pehrson 已提交
1793
{
1794
   unsigned int lg2 = 0;
G
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1795 1796 1797 1798 1799 1800
   /* Each time 'x' is multiplied by 2, 1 must be subtracted off the final log,
    * because the log is actually negate that means adding 1.  The final
    * returned value thus has the range 0 (for 255 input) to 7.994 (for 1
    * input), return 7.99998 for the overflow (log 0) case - so the result is
    * always at most 19 bits.
    */
1801
   if ((x &= 0xff) == 0)
1802
      return 0xffffffff;
1803 1804

   if ((x & 0xf0) == 0)
1805
      lg2  = 4, x <<= 4;
1806 1807

   if ((x & 0xc0) == 0)
1808
      lg2 += 2, x <<= 2;
1809 1810

   if ((x & 0x80) == 0)
1811
      lg2 += 1, x <<= 1;
1812

1813
   /* result is at most 19 bits, so this cast is safe: */
1814
   return (png_int_32)((lg2 << 16) + ((png_8bit_l2[x-128]+32768)>>16));
G
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1815 1816 1817 1818 1819 1820 1821 1822 1823 1824 1825 1826 1827 1828 1829 1830 1831 1832 1833 1834 1835 1836 1837 1838 1839 1840 1841 1842 1843 1844 1845 1846
}

/* The above gives exact (to 16 binary places) log2 values for 8 bit images,
 * for 16 bit images we use the most significant 8 bits of the 16 bit value to
 * get an approximation then multiply the approximation by a correction factor
 * determined by the remaining up to 8 bits.  This requires an additional step
 * in the 16 bit case.
 *
 * We want log2(value/65535), we have log2(v'/255), where:
 *
 *    value = v' * 256 + v''
 *          = v' * f
 *
 * So f is value/v', which is equal to (256+v''/v') since v' is in the range 128
 * to 255 and v'' is in the range 0 to 255 f will be in the range 256 to less
 * than 258.  The final factor also needs to correct for the fact that our 8 bit
 * value is scaled by 255, whereas the 16 bit values must be scaled by 65535.
 *
 * This gives a final formula using a calculated value 'x' which is value/v' and
 * scaling by 65536 to match the above table:
 *
 *   log2(x/257) * 65536
 *
 * Since these numbers are so close to '1' we can use simple linear
 * interpolation between the two end values 256/257 (result -368.61) and 258/257
 * (result 367.179).  The values used below are scaled by a further 64 to give
 * 16 bit precision in the interpolation:
 *
 * Start (256): -23591
 * Zero  (257):      0
 * End   (258):  23499
 */
1847
static png_int_32
G
[devel]  
Glenn Randers-Pehrson 已提交
1848 1849
png_log16bit(png_uint_32 x)
{
1850
   unsigned int lg2 = 0;
G
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Glenn Randers-Pehrson 已提交
1851 1852

   /* As above, but now the input has 16 bits. */
1853 1854 1855 1856
   if ((x &= 0xffff) == 0)
      return 0xffffffff;

   if ((x & 0xff00) == 0)
1857
      lg2  = 8, x <<= 8;
1858 1859

   if ((x & 0xf000) == 0)
1860
      lg2 += 4, x <<= 4;
1861 1862

   if ((x & 0xc000) == 0)
1863
      lg2 += 2, x <<= 2;
1864 1865

   if ((x & 0x8000) == 0)
1866
      lg2 += 1, x <<= 1;
G
[devel]  
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1867 1868 1869 1870

   /* Calculate the base logarithm from the top 8 bits as a 28 bit fractional
    * value.
    */
1871 1872
   lg2 <<= 28;
   lg2 += (png_8bit_l2[(x>>8)-128]+8) >> 4;
G
[devel]  
Glenn Randers-Pehrson 已提交
1873 1874 1875 1876 1877 1878 1879 1880 1881 1882

   /* Now we need to interpolate the factor, this requires a division by the top
    * 8 bits.  Do this with maximum precision.
    */
   x = ((x << 16) + (x >> 9)) / (x >> 8);

   /* Since we divided by the top 8 bits of 'x' there will be a '1' at 1<<24,
    * the value at 1<<16 (ignoring this) will be 0 or 1; this gives us exactly
    * 16 bits to interpolate to get the low bits of the result.  Round the
    * answer.  Note that the end point values are scaled by 64 to retain overall
1883
    * precision and that 'lg2' is current scaled by an extra 12 bits, so adjust
G
[devel]  
Glenn Randers-Pehrson 已提交
1884 1885 1886
    * the overall scaling by 6-12.  Round at every step.
    */
   x -= 1U << 24;
1887

G
[devel]  
Glenn Randers-Pehrson 已提交
1888
   if (x <= 65536U) /* <= '257' */
1889
      lg2 += ((23591U * (65536U-x)) + (1U << (16+6-12-1))) >> (16+6-12);
1890

G
[devel]  
Glenn Randers-Pehrson 已提交
1891
   else
1892
      lg2 -= ((23499U * (x-65536U)) + (1U << (16+6-12-1))) >> (16+6-12);
G
[devel]  
Glenn Randers-Pehrson 已提交
1893

1894
   /* Safe, because the result can't have more than 20 bits: */
1895
   return (png_int_32)((lg2 + 2048) >> 12);
G
[devel]  
Glenn Randers-Pehrson 已提交
1896 1897 1898 1899 1900 1901 1902 1903 1904 1905 1906 1907 1908 1909 1910 1911 1912 1913 1914 1915 1916 1917 1918 1919 1920 1921 1922 1923 1924 1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 1939 1940 1941
}

/* The 'exp()' case must invert the above, taking a 20 bit fixed point
 * logarithmic value and returning a 16 or 8 bit number as appropriate.  In
 * each case only the low 16 bits are relevant - the fraction - since the
 * integer bits (the top 4) simply determine a shift.
 *
 * The worst case is the 16 bit distinction between 65535 and 65534, this
 * requires perhaps spurious accuracty in the decoding of the logarithm to
 * distinguish log2(65535/65534.5) - 10^-5 or 17 bits.  There is little chance
 * of getting this accuracy in practice.
 *
 * To deal with this the following exp() function works out the exponent of the
 * frational part of the logarithm by using an accurate 32 bit value from the
 * top four fractional bits then multiplying in the remaining bits.
 */
static png_uint_32
png_32bit_exp[16] =
{
#  if PNG_DO_BC
      for (i=0;i<16;++i) { .5 + e(-i/16*l(2))*2^32; }
#  endif
   /* NOTE: the first entry is deliberately set to the maximum 32 bit value. */
   4294967295U, 4112874773U, 3938502376U, 3771522796U, 3611622603U, 3458501653U,
   3311872529U, 3171459999U, 3037000500U, 2908241642U, 2784941738U, 2666869345U,
   2553802834U, 2445529972U, 2341847524U, 2242560872U
};

/* Adjustment table; provided to explain the numbers in the code below. */
#if PNG_DO_BC
for (i=11;i>=0;--i){ print i, " ", (1 - e(-(2^i)/65536*l(2))) * 2^(32-i), "\n"}
   11 44937.64284865548751208448
   10 45180.98734845585101160448
    9 45303.31936980687359311872
    8 45364.65110595323018870784
    7 45395.35850361789624614912
    6 45410.72259715102037508096
    5 45418.40724413220722311168
    4 45422.25021786898173001728
    3 45424.17186732298419044352
    2 45425.13273269940811464704
    1 45425.61317555035558641664
    0 45425.85339951654943850496
#endif

static png_uint_32
1942
png_exp(png_fixed_point x)
G
[devel]  
Glenn Randers-Pehrson 已提交
1943
{
1944
   if (x > 0 && x <= 0xfffff) /* Else overflow or zero (underflow) */
G
[devel]  
Glenn Randers-Pehrson 已提交
1945 1946 1947 1948 1949 1950
   {
      /* Obtain a 4 bit approximation */
      png_uint_32 e = png_32bit_exp[(x >> 12) & 0xf];

      /* Incorporate the low 12 bits - these decrease the returned value by
       * multiplying by a number less than 1 if the bit is set.  The multiplier
1951
       * is determined by the above table and the shift. Notice that the values
G
[devel]  
Glenn Randers-Pehrson 已提交
1952 1953 1954
       * converge on 45426 and this is used to allow linear interpolation of the
       * low bits.
       */
1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967 1968 1969 1970 1971
      if (x & 0x800)
         e -= (((e >> 16) * 44938U) +  16U) >> 5;

      if (x & 0x400)
         e -= (((e >> 16) * 45181U) +  32U) >> 6;

      if (x & 0x200)
         e -= (((e >> 16) * 45303U) +  64U) >> 7;

      if (x & 0x100)
         e -= (((e >> 16) * 45365U) + 128U) >> 8;

      if (x & 0x080)
         e -= (((e >> 16) * 45395U) + 256U) >> 9;

      if (x & 0x040)
         e -= (((e >> 16) * 45410U) + 512U) >> 10;
G
[devel]  
Glenn Randers-Pehrson 已提交
1972 1973 1974 1975 1976 1977 1978 1979 1980

      /* And handle the low 6 bits in a single block. */
      e -= (((e >> 16) * 355U * (x & 0x3fU)) + 256U) >> 9;

      /* Handle the upper bits of x. */
      e >>= x >> 16;
      return e;
   }

1981 1982 1983 1984 1985
   /* Check for overflow */
   if (x <= 0)
      return png_32bit_exp[0];

   /* Else underflow */
G
[devel]  
Glenn Randers-Pehrson 已提交
1986 1987 1988 1989
   return 0;
}

static png_byte
1990
png_exp8bit(png_fixed_point lg2)
G
[devel]  
Glenn Randers-Pehrson 已提交
1991 1992
{
   /* Get a 32 bit value: */
1993
   png_uint_32 x = png_exp(lg2);
G
[devel]  
Glenn Randers-Pehrson 已提交
1994 1995 1996 1997 1998 1999

   /* Convert the 32 bit value to 0..255 by multiplying by 256-1, note that the
    * second, rounding, step can't overflow because of the first, subtraction,
    * step.
    */
   x -= x >> 8;
2000
   return (png_byte)((x + 0x7fffffU) >> 24);
G
[devel]  
Glenn Randers-Pehrson 已提交
2001 2002 2003
}

static png_uint_16
2004
png_exp16bit(png_fixed_point lg2)
G
[devel]  
Glenn Randers-Pehrson 已提交
2005 2006
{
   /* Get a 32 bit value: */
2007
   png_uint_32 x = png_exp(lg2);
G
[devel]  
Glenn Randers-Pehrson 已提交
2008 2009 2010

   /* Convert the 32 bit value to 0..65535 by multiplying by 65536-1: */
   x -= x >> 16;
2011
   return (png_uint_16)((x + 32767U) >> 16);
G
[devel]  
Glenn Randers-Pehrson 已提交
2012 2013 2014 2015
}
#endif /* FLOATING_ARITHMETIC */

png_byte
2016
png_gamma_8bit_correct(unsigned int value, png_fixed_point gamma_val)
G
[devel]  
Glenn Randers-Pehrson 已提交
2017 2018 2019 2020
{
   if (value > 0 && value < 255)
   {
#     ifdef PNG_FLOATING_ARITHMETIC_SUPPORTED
2021
         double r = floor(255*pow(value/255.,gamma_val*.00001)+.5);
2022
         return (png_byte)r;
G
[devel]  
Glenn Randers-Pehrson 已提交
2023
#     else
2024
         png_int_32 lg2 = png_log8bit(value);
2025
         png_fixed_point res;
2026

2027
         if (png_muldiv(&res, gamma_val, lg2, PNG_FP_1))
2028
            return png_exp8bit(res);
G
[devel]  
Glenn Randers-Pehrson 已提交
2029

2030 2031
         /* Overflow. */
         value = 0;
2032
#     endif
G
[devel]  
Glenn Randers-Pehrson 已提交
2033 2034
   }

2035
   return (png_byte)value;
G
[devel]  
Glenn Randers-Pehrson 已提交
2036 2037 2038
}

png_uint_16
2039
png_gamma_16bit_correct(unsigned int value, png_fixed_point gamma_val)
G
[devel]  
Glenn Randers-Pehrson 已提交
2040 2041 2042 2043
{
   if (value > 0 && value < 65535)
   {
#     ifdef PNG_FLOATING_ARITHMETIC_SUPPORTED
2044
         double r = floor(65535*pow(value/65535.,gamma_val*.00001)+.5);
2045
         return (png_uint_16)r;
G
[devel]  
Glenn Randers-Pehrson 已提交
2046
#     else
2047
         png_int_32 lg2 = png_log16bit(value);
2048
         png_fixed_point res;
2049

2050
         if (png_muldiv(&res, gamma_val, lg2, PNG_FP_1))
2051
            return png_exp16bit(res);
G
[devel]  
Glenn Randers-Pehrson 已提交
2052

2053 2054
         /* Overflow. */
         value = 0;
2055
#     endif
G
[devel]  
Glenn Randers-Pehrson 已提交
2056 2057
   }

2058
   return (png_uint_16)value;
G
[devel]  
Glenn Randers-Pehrson 已提交
2059 2060 2061 2062 2063 2064 2065 2066
}

/* This does the right thing based on the bit_depth field of the
 * png_struct, interpreting values as 8 or 16 bit.  While the result
 * is nominally a 16 bit value if bit depth is 8 then the result is
 * 8 bit (as are the arguments.)
 */
png_uint_16 /* PRIVATE */
2067
png_gamma_correct(png_structp png_ptr, unsigned int value,
2068
    png_fixed_point gamma_val)
G
[devel]  
Glenn Randers-Pehrson 已提交
2069 2070
{
   if (png_ptr->bit_depth == 8)
2071
      return png_gamma_8bit_correct(value, gamma_val);
2072

G
[devel]  
Glenn Randers-Pehrson 已提交
2073
   else
2074
      return png_gamma_16bit_correct(value, gamma_val);
G
[devel]  
Glenn Randers-Pehrson 已提交
2075 2076 2077 2078 2079 2080
}

/* This is the shared test on whether a gamma value is 'significant' - whether
 * it is worth doing gamma correction.
 */
int /* PRIVATE */
2081
png_gamma_significant(png_fixed_point gamma_val)
G
[devel]  
Glenn Randers-Pehrson 已提交
2082
{
2083 2084
   return gamma_val < PNG_FP_1 - PNG_GAMMA_THRESHOLD_FIXED ||
       gamma_val > PNG_FP_1 + PNG_GAMMA_THRESHOLD_FIXED;
G
[devel]  
Glenn Randers-Pehrson 已提交
2085 2086 2087 2088 2089 2090
}

/* Internal function to build a single 16 bit table - the table consists of
 * 'num' 256 entry subtables, where 'num' is determined by 'shift' - the amount
 * to shift the input values right (or 16-number_of_signifiant_bits).
 *
2091
 * The caller is responsible for ensuring that the table gets cleaned up on
G
[devel]  
Glenn Randers-Pehrson 已提交
2092 2093 2094 2095 2096
 * png_error (i.e. if one of the mallocs below fails) - i.e. the *table argument
 * should be somewhere that will be cleaned.
 */
static void
png_build_16bit_table(png_structp png_ptr, png_uint_16pp *ptable,
2097
   PNG_CONST unsigned int shift, PNG_CONST png_fixed_point gamma_val)
G
[devel]  
Glenn Randers-Pehrson 已提交
2098 2099
{
   /* Various values derived from 'shift': */
2100 2101 2102 2103
   PNG_CONST unsigned int num = 1U << (8U - shift);
   PNG_CONST unsigned int max = (1U << (16U - shift))-1U;
   PNG_CONST unsigned int max_by_2 = 1U << (15U-shift);
   unsigned int i;
G
[devel]  
Glenn Randers-Pehrson 已提交
2104 2105

   png_uint_16pp table = *ptable =
2106
       (png_uint_16pp)png_calloc(png_ptr, num * png_sizeof(png_uint_16p));
G
[devel]  
Glenn Randers-Pehrson 已提交
2107 2108 2109 2110

   for (i = 0; i < num; i++)
   {
      png_uint_16p sub_table = table[i] =
2111
          (png_uint_16p)png_malloc(png_ptr, 256 * png_sizeof(png_uint_16));
G
[devel]  
Glenn Randers-Pehrson 已提交
2112 2113 2114 2115

      /* The 'threshold' test is repeated here because it can arise for one of
       * the 16 bit tables even if the others don't hit it.
       */
2116
      if (png_gamma_significant(gamma_val))
G
[devel]  
Glenn Randers-Pehrson 已提交
2117
      {
2118 2119 2120 2121 2122 2123 2124 2125
         /* The old code would overflow at the end and this would cause the
          * 'pow' function to return a result >1, resulting in an
          * arithmetic error.  This code follows the spec exactly; ig is
          * the recovered input sample, it always has 8-16 bits.
          *
          * We want input * 65535/max, rounded, the arithmetic fits in 32
          * bits (unsigned) so long as max <= 32767.
          */
2126
         unsigned int j;
2127 2128
         for (j = 0; j < 256; j++)
         {
2129
            png_uint_32 ig = (j << (8-shift)) + i;
G
[devel]  
Glenn Randers-Pehrson 已提交
2130
#           ifdef PNG_FLOATING_ARITHMETIC_SUPPORTED
2131
               /* Inline the 'max' scaling operation: */
2132
               double d = floor(65535*pow(ig/(double)max, gamma_val*.00001)+.5);
2133
               sub_table[j] = (png_uint_16)d;
G
[devel]  
Glenn Randers-Pehrson 已提交
2134
#           else
2135
               if (shift)
2136
                  ig = (ig * 65535U + max_by_2)/max;
2137

2138
               sub_table[j] = png_gamma_16bit_correct(ig, gamma_val);
G
[devel]  
Glenn Randers-Pehrson 已提交
2139
#           endif
2140
         }
G
[devel]  
Glenn Randers-Pehrson 已提交
2141 2142 2143 2144
      }
      else
      {
         /* We must still build a table, but do it the fast way. */
2145
         unsigned int j;
2146

2147 2148 2149
         for (j = 0; j < 256; j++)
         {
            png_uint_32 ig = (j << (8-shift)) + i;
2150

2151 2152
            if (shift)
               ig = (ig * 65535U + max_by_2)/max;
2153

2154
            sub_table[j] = (png_uint_16)ig;
2155
         }
G
[devel]  
Glenn Randers-Pehrson 已提交
2156 2157 2158 2159 2160 2161 2162 2163 2164
      }
   }
}

/* NOTE: this function expects the *inverse* of the overall gamma transformation
 * required.
 */
static void
png_build_16to8_table(png_structp png_ptr, png_uint_16pp *ptable,
2165
   PNG_CONST unsigned int shift, PNG_CONST png_fixed_point gamma_val)
G
[devel]  
Glenn Randers-Pehrson 已提交
2166
{
2167 2168 2169
   PNG_CONST unsigned int num = 1U << (8U - shift);
   PNG_CONST unsigned int max = (1U << (16U - shift))-1U;
   unsigned int i;
G
[devel]  
Glenn Randers-Pehrson 已提交
2170 2171 2172
   png_uint_32 last;

   png_uint_16pp table = *ptable =
2173
       (png_uint_16pp)png_calloc(png_ptr, num * png_sizeof(png_uint_16p));
G
[devel]  
Glenn Randers-Pehrson 已提交
2174 2175 2176 2177 2178 2179 2180

   /* 'num' is the number of tables and also the number of low bits of low
    * bits of the input 16 bit value used to select a table.  Each table is
    * itself index by the high 8 bits of the value.
    */
   for (i = 0; i < num; i++)
      table[i] = (png_uint_16p)png_malloc(png_ptr,
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          256 * png_sizeof(png_uint_16));
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   /* 'gamma_val' is set to the reciprocal of the value calculated above, so
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    * pow(out,g) is an *input* value.  'last' is the last input value set.
    *
    * In the loop 'i' is used to find output values.  Since the output is 8
    * bit there are only 256 possible values.  The tables are set up to
    * select the closest possible output value for each input by finding
    * the input value at the boundary between each pair of output values
    * and filling the table up to that boundary with the lower output
    * value.
    *
    * The boundary values are 0.5,1.5..253.5,254.5.  Since these are 9 bit
    * values the code below uses a 16 bit value in i; the values start at
    * 128.5 (for 0.5) and step by 257, for a total of 254 values (the last
    * entries are filled with 255).  Start i at 128 and fill all 'last'
    * table entries <= 'max'
    */
   last = 0;
   for (i = 0; i < 255; ++i) /* 8 bit output value */
   {
      /* Find the corresponding maximum input value */
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      png_uint_16 out = (png_uint_16)(i * 257U); /* 16 bit output value */
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      /* Find the boundary value in 16 bits: */
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      png_uint_32 bound = png_gamma_16bit_correct(out+128U, gamma_val);
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      /* Adjust (round) to (16-shift) bits: */
2209
      bound = (bound * max + 32768U)/65535U + 1U;
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      while (last < bound)
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      {
2213 2214
         table[last & (0xffU >> shift)][last >> (8U - shift)] = out;
         last++;
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      }
   }

   /* And fill in the final entries. */
   while (last < (num << 8))
   {
      table[last & (0xff >> shift)][last >> (8U - shift)] = 65535U;
      last++;
   }
}

/* Build a single 8 bit table: same as the 16 bit case but much simpler (and
 * typically much faster).  Note that libpng currently does no sBIT processing
 * (apparently contrary to the spec) so a 256 entry table is always generated.
 */
static void
png_build_8bit_table(png_structp png_ptr, png_bytepp ptable,
2232
   PNG_CONST png_fixed_point gamma_val)
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{
2234
   unsigned int i;
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   png_bytep table = *ptable = (png_bytep)png_malloc(png_ptr, 256);

2237 2238
   if (png_gamma_significant(gamma_val)) for (i=0; i<256; i++)
      table[i] = png_gamma_8bit_correct(i, gamma_val);
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2240 2241
   else for (i=0; i<256; ++i)
      table[i] = (png_byte)i;
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}

/* We build the 8- or 16-bit gamma tables here.  Note that for 16-bit
 * tables, we don't make a full table if we are reducing to 8-bit in
 * the future.  Note also how the gamma_16 tables are segmented so that
 * we don't need to allocate > 64K chunks for a full 16-bit table.
 */
void /* PRIVATE */
2250
png_build_gamma_table(png_structp png_ptr, int bit_depth)
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{
  png_debug(1, "in png_build_gamma_table");

  if (bit_depth <= 8)
  {
     png_build_8bit_table(png_ptr, &png_ptr->gamma_table,
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         png_ptr->screen_gamma > 0 ?  png_reciprocal2(png_ptr->gamma,
         png_ptr->screen_gamma) : PNG_FP_1);
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#if defined(PNG_READ_BACKGROUND_SUPPORTED) || \
   defined(PNG_READ_RGB_TO_GRAY_SUPPORTED)
     if (png_ptr->transformations & ((PNG_BACKGROUND) | PNG_RGB_TO_GRAY))
     {
        png_build_8bit_table(png_ptr, &png_ptr->gamma_to_1,
2265
            png_reciprocal(png_ptr->gamma));
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        png_build_8bit_table(png_ptr, &png_ptr->gamma_from_1,
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            png_ptr->screen_gamma > 0 ?  png_reciprocal(png_ptr->screen_gamma) :
            png_ptr->gamma/* Probably doing rgb_to_gray */);
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     }
#endif /* PNG_READ_BACKGROUND_SUPPORTED || PNG_RGB_TO_GRAY_SUPPORTED */
  }
  else
  {
     png_byte shift, sig_bit;

     if (png_ptr->color_type & PNG_COLOR_MASK_COLOR)
     {
        sig_bit = png_ptr->sig_bit.red;

        if (png_ptr->sig_bit.green > sig_bit)
           sig_bit = png_ptr->sig_bit.green;

        if (png_ptr->sig_bit.blue > sig_bit)
           sig_bit = png_ptr->sig_bit.blue;
     }
     else
        sig_bit = png_ptr->sig_bit.gray;

     /* 16 bit gamma code uses this equation:
      *
      *   ov = table[(iv & 0xff) >> gamma_shift][iv >> 8]
      *
      * Where 'iv' is the input color value and 'ov' is the output value -
      * pow(iv, gamma).
      *
      * Thus the gamma table consists of up to 256 256 entry tables.  The table
      * is selected by the (8-gamma_shift) most significant of the low 8 bits of
      * the color value then indexed by the upper 8 bits:
      *
      *   table[low bits][high 8 bits]
      *
      * So the table 'n' corresponds to all those 'iv' of:
      *
      *   <all high 8 bit values><n << gamma_shift>..<(n+1 << gamma_shift)-1>
      *
      */
2308 2309
     if (sig_bit > 0 && sig_bit < 16U)
        shift = (png_byte)(16U - sig_bit); /* shift == insignificant bits */
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     else
        shift = 0; /* keep all 16 bits */

     if (png_ptr->transformations & PNG_16_TO_8)
     {
2316 2317 2318 2319
        /* PNG_MAX_GAMMA_8 is the number of bits to keep - effectively
         * the significant bits in the *input* when the output will
         * eventually be 8 bits.  By default it is 11.
         */
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        if (shift < (16U - PNG_MAX_GAMMA_8))
           shift = (16U - PNG_MAX_GAMMA_8);
     }

     if (shift > 8U)
        shift = 8U; /* Guarantees at least one table! */

     png_ptr->gamma_shift = shift;

2329
#ifdef PNG_16BIT_SUPPORTED
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     if (png_ptr->transformations & (PNG_16_TO_8 | PNG_BACKGROUND))
2331
#endif
2332 2333 2334 2335
         png_build_16to8_table(png_ptr, &png_ptr->gamma_16_table, shift,
         png_ptr->screen_gamma > 0 ? png_product2(png_ptr->gamma,
         png_ptr->screen_gamma) : PNG_FP_1);

2336
#ifdef PNG_16BIT_SUPPORTED
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     else
2338 2339 2340
         png_build_16bit_table(png_ptr, &png_ptr->gamma_16_table, shift,
         png_ptr->screen_gamma > 0 ? png_reciprocal2(png_ptr->gamma,
         png_ptr->screen_gamma) : PNG_FP_1);
2341
#endif
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#if defined(PNG_READ_BACKGROUND_SUPPORTED) || \
   defined(PNG_READ_RGB_TO_GRAY_SUPPORTED)
     if (png_ptr->transformations & (PNG_BACKGROUND | PNG_RGB_TO_GRAY))
     {
2347
        png_build_16bit_table(png_ptr, &png_ptr->gamma_16_to_1, shift,
2348
            png_reciprocal(png_ptr->gamma));
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2350
        /* Notice that the '16 from 1' table should be full precision, however
2351
         * the lookup on this table still uses gamma_shift, so it can't be.
2352 2353
         * TODO: fix this.
         */
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        png_build_16bit_table(png_ptr, &png_ptr->gamma_16_from_1, shift,
2355 2356
            png_ptr->screen_gamma > 0 ? png_reciprocal(png_ptr->screen_gamma) :
            png_ptr->gamma/* Probably doing rgb_to_gray */);
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     }
#endif /* PNG_READ_BACKGROUND_SUPPORTED || PNG_RGB_TO_GRAY_SUPPORTED */
  }
}
#endif /* READ_GAMMA */
2362
#endif /* defined(PNG_READ_SUPPORTED) || defined(PNG_WRITE_SUPPORTED) */