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+/* -----------------------------------------------------------------------------
+
+ Copyright (c) 2006 Simon Brown si@sjbrown.co.uk
+
+ Permission is hereby granted, free of charge, to any person obtaining
+ a copy of this software and associated documentation files (the
+ "Software"), to deal in the Software without restriction, including
+ without limitation the rights to use, copy, modify, merge, publish,
+ distribute, sublicense, and/or sell copies of the Software, and to
+ permit persons to whom the Software is furnished to do so, subject to
+ the following conditions:
+
+ The above copyright notice and this permission notice shall be included
+ in all copies or substantial portions of the Software.
+
+ THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
+ OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
+ MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.
+ IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY
+ CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT,
+ TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE
+ SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
+
+ -------------------------------------------------------------------------- */
+
+#include "alpha.h"
+
+#include <climits>
+#include <algorithm>
+
+namespace squish {
+
+static int FloatToInt( float a, int limit )
+{
+ // use ANSI round-to-zero behaviour to get round-to-nearest
+ int i = ( int )( a + 0.5f );
+
+ // clamp to the limit
+ if( i < 0 )
+ i = 0;
+ else if( i > limit )
+ i = limit;
+
+ // done
+ return i;
+}
+
+void CompressAlphaDxt3( u8 const* rgba, int mask, void* block )
+{
+ u8* bytes = reinterpret_cast< u8* >( block );
+
+ // quantise and pack the alpha values pairwise
+ for( int i = 0; i < 8; ++i )
+ {
+ // quantise down to 4 bits
+ float alpha1 = ( float )rgba[8*i + 3] * ( 15.0f/255.0f );
+ float alpha2 = ( float )rgba[8*i + 7] * ( 15.0f/255.0f );
+ int quant1 = FloatToInt( alpha1, 15 );
+ int quant2 = FloatToInt( alpha2, 15 );
+
+ // set alpha to zero where masked
+ int bit1 = 1 << ( 2*i );
+ int bit2 = 1 << ( 2*i + 1 );
+ if( ( mask & bit1 ) == 0 )
+ quant1 = 0;
+ if( ( mask & bit2 ) == 0 )
+ quant2 = 0;
+
+ // pack into the byte
+ bytes[i] = ( u8 )( quant1 | ( quant2 << 4 ) );
+ }
+}
+
+void DecompressAlphaDxt3( u8* rgba, void const* block )
+{
+ u8 const* bytes = reinterpret_cast< u8 const* >( block );
+
+ // unpack the alpha values pairwise
+ for( int i = 0; i < 8; ++i )
+ {
+ // quantise down to 4 bits
+ u8 quant = bytes[i];
+
+ // unpack the values
+ u8 lo = quant & 0x0f;
+ u8 hi = quant & 0xf0;
+
+ // convert back up to bytes
+ rgba[8*i + 3] = lo | ( lo << 4 );
+ rgba[8*i + 7] = hi | ( hi >> 4 );
+ }
+}
+
+static void FixRange( int& min, int& max, int steps )
+{
+ if( max - min < steps )
+ max = std::min( min + steps, 255 );
+ if( max - min < steps )
+ min = std::max( 0, max - steps );
+}
+
+static int FitCodes( u8 const* rgba, int mask, u8 const* codes, u8* indices )
+{
+ // fit each alpha value to the codebook
+ int err = 0;
+ for( int i = 0; i < 16; ++i )
+ {
+ // check this pixel is valid
+ int bit = 1 << i;
+ if( ( mask & bit ) == 0 )
+ {
+ // use the first code
+ indices[i] = 0;
+ continue;
+ }
+
+ // find the least error and corresponding index
+ int value = rgba[4*i + 3];
+ int least = INT_MAX;
+ int index = 0;
+ for( int j = 0; j < 8; ++j )
+ {
+ // get the squared error from this code
+ int dist = ( int )value - ( int )codes[j];
+ dist *= dist;
+
+ // compare with the best so far
+ if( dist < least )
+ {
+ least = dist;
+ index = j;
+ }
+ }
+
+ // save this index and accumulate the error
+ indices[i] = ( u8 )index;
+ err += least;
+ }
+
+ // return the total error
+ return err;
+}
+
+static void WriteAlphaBlock( int alpha0, int alpha1, u8 const* indices, void* block )
+{
+ u8* bytes = reinterpret_cast< u8* >( block );
+
+ // write the first two bytes
+ bytes[0] = ( u8 )alpha0;
+ bytes[1] = ( u8 )alpha1;
+
+ // pack the indices with 3 bits each
+ u8* dest = bytes + 2;
+ u8 const* src = indices;
+ for( int i = 0; i < 2; ++i )
+ {
+ // pack 8 3-bit values
+ int value = 0;
+ for( int j = 0; j < 8; ++j )
+ {
+ int index = *src++;
+ value |= ( index << 3*j );
+ }
+
+ // store in 3 bytes
+ for( int j = 0; j < 3; ++j )
+ {
+ int byte = ( value >> 8*j ) & 0xff;
+ *dest++ = ( u8 )byte;
+ }
+ }
+}
+
+static void WriteAlphaBlock5( int alpha0, int alpha1, u8 const* indices, void* block )
+{
+ // check the relative values of the endpoints
+ if( alpha0 > alpha1 )
+ {
+ // swap the indices
+ u8 swapped[16];
+ for( int i = 0; i < 16; ++i )
+ {
+ u8 index = indices[i];
+ if( index == 0 )
+ swapped[i] = 1;
+ else if( index == 1 )
+ swapped[i] = 0;
+ else if( index <= 5 )
+ swapped[i] = 7 - index;
+ else
+ swapped[i] = index;
+ }
+
+ // write the block
+ WriteAlphaBlock( alpha1, alpha0, swapped, block );
+ }
+ else
+ {
+ // write the block
+ WriteAlphaBlock( alpha0, alpha1, indices, block );
+ }
+}
+
+static void WriteAlphaBlock7( int alpha0, int alpha1, u8 const* indices, void* block )
+{
+ // check the relative values of the endpoints
+ if( alpha0 < alpha1 )
+ {
+ // swap the indices
+ u8 swapped[16];
+ for( int i = 0; i < 16; ++i )
+ {
+ u8 index = indices[i];
+ if( index == 0 )
+ swapped[i] = 1;
+ else if( index == 1 )
+ swapped[i] = 0;
+ else
+ swapped[i] = 9 - index;
+ }
+
+ // write the block
+ WriteAlphaBlock( alpha1, alpha0, swapped, block );
+ }
+ else
+ {
+ // write the block
+ WriteAlphaBlock( alpha0, alpha1, indices, block );
+ }
+}
+
+void CompressAlphaDxt5( u8 const* rgba, int mask, void* block )
+{
+ // get the range for 5-alpha and 7-alpha interpolation
+ int min5 = 255;
+ int max5 = 0;
+ int min7 = 255;
+ int max7 = 0;
+ for( int i = 0; i < 16; ++i )
+ {
+ // check this pixel is valid
+ int bit = 1 << i;
+ if( ( mask & bit ) == 0 )
+ continue;
+
+ // incorporate into the min/max
+ int value = rgba[4*i + 3];
+ if( value < min7 )
+ min7 = value;
+ if( value > max7 )
+ max7 = value;
+ if( value != 0 && value < min5 )
+ min5 = value;
+ if( value != 255 && value > max5 )
+ max5 = value;
+ }
+
+ // handle the case that no valid range was found
+ if( min5 > max5 )
+ min5 = max5;
+ if( min7 > max7 )
+ min7 = max7;
+
+ // fix the range to be the minimum in each case
+ FixRange( min5, max5, 5 );
+ FixRange( min7, max7, 7 );
+
+ // set up the 5-alpha code book
+ u8 codes5[8];
+ codes5[0] = ( u8 )min5;
+ codes5[1] = ( u8 )max5;
+ for( int i = 1; i < 5; ++i )
+ codes5[1 + i] = ( u8 )( ( ( 5 - i )*min5 + i*max5 )/5 );
+ codes5[6] = 0;
+ codes5[7] = 255;
+
+ // set up the 7-alpha code book
+ u8 codes7[8];
+ codes7[0] = ( u8 )min7;
+ codes7[1] = ( u8 )max7;
+ for( int i = 1; i < 7; ++i )
+ codes7[1 + i] = ( u8 )( ( ( 7 - i )*min7 + i*max7 )/7 );
+
+ // fit the data to both code books
+ u8 indices5[16];
+ u8 indices7[16];
+ int err5 = FitCodes( rgba, mask, codes5, indices5 );
+ int err7 = FitCodes( rgba, mask, codes7, indices7 );
+
+ // save the block with least error
+ if( err5 <= err7 )
+ WriteAlphaBlock5( min5, max5, indices5, block );
+ else
+ WriteAlphaBlock7( min7, max7, indices7, block );
+}
+
+void DecompressAlphaDxt5( u8* rgba, void const* block )
+{
+ // get the two alpha values
+ u8 const* bytes = reinterpret_cast< u8 const* >( block );
+ int alpha0 = bytes[0];
+ int alpha1 = bytes[1];
+
+ // compare the values to build the codebook
+ u8 codes[8];
+ codes[0] = ( u8 )alpha0;
+ codes[1] = ( u8 )alpha1;
+ if( alpha0 <= alpha1 )
+ {
+ // use 5-alpha codebook
+ for( int i = 1; i < 5; ++i )
+ codes[1 + i] = ( u8 )( ( ( 5 - i )*alpha0 + i*alpha1 )/5 );
+ codes[6] = 0;
+ codes[7] = 255;
+ }
+ else
+ {
+ // use 7-alpha codebook
+ for( int i = 1; i < 7; ++i )
+ codes[1 + i] = ( u8 )( ( ( 7 - i )*alpha0 + i*alpha1 )/7 );
+ }
+
+ // decode the indices
+ u8 indices[16];
+ u8 const* src = bytes + 2;
+ u8* dest = indices;
+ for( int i = 0; i < 2; ++i )
+ {
+ // grab 3 bytes
+ int value = 0;
+ for( int j = 0; j < 3; ++j )
+ {
+ int byte = *src++;
+ value |= ( byte << 8*j );
+ }
+
+ // unpack 8 3-bit values from it
+ for( int j = 0; j < 8; ++j )
+ {
+ int index = ( value >> 3*j ) & 0x7;
+ *dest++ = ( u8 )index;
+ }
+ }
+
+ // write out the indexed codebook values
+ for( int i = 0; i < 16; ++i )
+ rgba[4*i + 3] = codes[indices[i]];
+}
+
+} // namespace squish