BC6HBC7.cpp

//-------------------------------------------------------------------------------------
// BC6HBC7.cpp
//  
// Block-compression (BC) functionality for BC6H and BC7 (DirectX 11 texture compression)
//
// THIS CODE AND INFORMATION IS PROVIDED "AS IS" WITHOUT WARRANTY OF
// ANY KIND, EITHER EXPRESSED OR IMPLIED, INCLUDING BUT NOT LIMITED TO
// THE IMPLIED WARRANTIES OF MERCHANTABILITY AND/OR FITNESS FOR A
// PARTICULAR PURPOSE.
//  
// Copyright (c) Microsoft Corporation. All rights reserved.
//
// http://go.microsoft.com/fwlink/?LinkId=248926
//-------------------------------------------------------------------------------------

#include "directxtexp.h"

#include "BC.h"

using namespace DirectX::PackedVector;

namespace DirectX
{

//-------------------------------------------------------------------------------------
// Constants
//-------------------------------------------------------------------------------------

static const float fEpsilon = (0.25f / 64.0f) * (0.25f / 64.0f);
static const float pC3[] = { 2.0f/2.0f, 1.0f/2.0f, 0.0f/2.0f };
static const float pD3[] = { 0.0f/2.0f, 1.0f/2.0f, 2.0f/2.0f };
static const float pC4[] = { 3.0f/3.0f, 2.0f/3.0f, 1.0f/3.0f, 0.0f/3.0f };
static const float pD4[] = { 0.0f/3.0f, 1.0f/3.0f, 2.0f/3.0f, 3.0f/3.0f };

const int g_aWeights2[] = {0, 21, 43, 64};
const int g_aWeights3[] = {0, 9, 18, 27, 37, 46, 55, 64};
const int g_aWeights4[] = {0, 4, 9, 13, 17, 21, 26, 30, 34, 38, 43, 47, 51, 55, 60, 64};

// Partition, Shape, Pixel (index into 4x4 block)
static const uint8_t g_aPartitionTable[3][64][16] =
{
    {   // 1 Region case has no subsets (all 0)
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }
    },

    {   // BC6H/BC7 Partition Set for 2 Subsets
        { 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1 }, // Shape 0
        { 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1 }, // Shape 1
        { 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1 }, // Shape 2
        { 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1 }, // Shape 3
        { 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1 }, // Shape 4
        { 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1 }, // Shape 5
        { 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1 }, // Shape 6
        { 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1 }, // Shape 7
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1 }, // Shape 8
        { 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 }, // Shape 9
        { 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1 }, // Shape 10
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1 }, // Shape 11
        { 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 }, // Shape 12
        { 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1 }, // Shape 13
        { 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 }, // Shape 14
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1 }, // Shape 15
        { 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1 }, // Shape 16
        { 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 }, // Shape 17
        { 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0 }, // Shape 18
        { 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0 }, // Shape 19
        { 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 }, // Shape 20
        { 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0 }, // Shape 21
        { 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0 }, // Shape 22
        { 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1 }, // Shape 23
        { 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0 }, // Shape 24
        { 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0 }, // Shape 25
        { 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0 }, // Shape 26
        { 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0 }, // Shape 27
        { 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0 }, // Shape 28
        { 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0 }, // Shape 29
        { 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0 }, // Shape 30
        { 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0 }, // Shape 31

        // BC7 Partition Set for 2 Subsets (second-half)
        { 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1 }, // Shape 32
        { 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1 }, // Shape 33
        { 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0 }, // Shape 34
        { 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0 }, // Shape 35
        { 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0 }, // Shape 36
        { 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0 }, // Shape 37
        { 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1 }, // Shape 38
        { 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1 }, // Shape 39
        { 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0 }, // Shape 40
        { 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0 }, // Shape 41
        { 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0 }, // Shape 42
        { 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0 }, // Shape 43
        { 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0 }, // Shape 44
        { 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1 }, // Shape 45
        { 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1 }, // Shape 46
        { 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0 }, // Shape 47
        { 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0 }, // Shape 48
        { 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 }, // Shape 49
        { 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0 }, // Shape 50
        { 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0 }, // Shape 51
        { 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1 }, // Shape 52
        { 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1 }, // Shape 53
        { 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0 }, // Shape 54
        { 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0 }, // Shape 55
        { 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1 }, // Shape 56
        { 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1 }, // Shape 57
        { 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1 }, // Shape 58
        { 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1 }, // Shape 59
        { 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1 }, // Shape 60
        { 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0 }, // Shape 61
        { 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0 }, // Shape 62
        { 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1 }  // Shape 63
    },

    {   // BC7 Partition Set for 3 Subsets
        { 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2 }, // Shape 0
        { 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1 }, // Shape 1
        { 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1 }, // Shape 2
        { 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1 }, // Shape 3
        { 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2 }, // Shape 4
        { 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2 }, // Shape 5
        { 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1 }, // Shape 6
        { 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1 }, // Shape 7
        { 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2 }, // Shape 8
        { 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2 }, // Shape 9
        { 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2 }, // Shape 10
        { 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2 }, // Shape 11
        { 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2 }, // Shape 12
        { 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2 }, // Shape 13
        { 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2 }, // Shape 14
        { 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0 }, // Shape 15
        { 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2 }, // Shape 16
        { 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0 }, // Shape 17
        { 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2 }, // Shape 18
        { 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1 }, // Shape 19
        { 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2 }, // Shape 20
        { 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1 }, // Shape 21
        { 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2 }, // Shape 22
        { 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0 }, // Shape 23
        { 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0 }, // Shape 24
        { 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2 }, // Shape 25
        { 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0 }, // Shape 26
        { 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1 }, // Shape 27
        { 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2 }, // Shape 28
        { 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2 }, // Shape 29
        { 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1 }, // Shape 30
        { 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1 }, // Shape 31
        { 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2 }, // Shape 32
        { 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1 }, // Shape 33
        { 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2 }, // Shape 34
        { 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0 }, // Shape 35
        { 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0 }, // Shape 36
        { 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0 }, // Shape 37
        { 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0 }, // Shape 38
        { 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1 }, // Shape 39
        { 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1 }, // Shape 40
        { 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2 }, // Shape 41
        { 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1 }, // Shape 42
        { 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2 }, // Shape 43
        { 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1 }, // Shape 44
        { 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1 }, // Shape 45
        { 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1 }, // Shape 46
        { 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1 }, // Shape 47
        { 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2 }, // Shape 48
        { 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1 }, // Shape 49
        { 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2 }, // Shape 50
        { 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2 }, // Shape 51
        { 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2 }, // Shape 52
        { 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2 }, // Shape 53
        { 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2 }, // Shape 54
        { 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2 }, // Shape 55
        { 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2 }, // Shape 56
        { 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2 }, // Shape 57
        { 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2 }, // Shape 58
        { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2 }, // Shape 59
        { 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1 }, // Shape 60
        { 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2 }, // Shape 61
        { 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 }, // Shape 62
        { 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0 }  // Shape 63
    }
};

// Partition, Shape, Fixup
static const uint8_t g_aFixUp[3][64][3] =
{
    {   // No fix-ups for 1st subset for BC6H or BC7
        { 0, 0, 0}, { 0, 0, 0}, { 0, 0, 0}, { 0, 0, 0},
        { 0, 0, 0}, { 0, 0, 0}, { 0, 0, 0}, { 0, 0, 0},
        { 0, 0, 0}, { 0, 0, 0}, { 0, 0, 0}, { 0, 0, 0},
        { 0, 0, 0}, { 0, 0, 0}, { 0, 0, 0}, { 0, 0, 0},
        { 0, 0, 0}, { 0, 0, 0}, { 0, 0, 0}, { 0, 0, 0},
        { 0, 0, 0}, { 0, 0, 0}, { 0, 0, 0}, { 0, 0, 0},
        { 0, 0, 0}, { 0, 0, 0}, { 0, 0, 0}, { 0, 0, 0},
        { 0, 0, 0}, { 0, 0, 0}, { 0, 0, 0}, { 0, 0, 0},
        { 0, 0, 0}, { 0, 0, 0}, { 0, 0, 0}, { 0, 0, 0},
        { 0, 0, 0}, { 0, 0, 0}, { 0, 0, 0}, { 0, 0, 0},
        { 0, 0, 0}, { 0, 0, 0}, { 0, 0, 0}, { 0, 0, 0},
        { 0, 0, 0}, { 0, 0, 0}, { 0, 0, 0}, { 0, 0, 0},
        { 0, 0, 0}, { 0, 0, 0}, { 0, 0, 0}, { 0, 0, 0},
        { 0, 0, 0}, { 0, 0, 0}, { 0, 0, 0}, { 0, 0, 0},
        { 0, 0, 0}, { 0, 0, 0}, { 0, 0, 0}, { 0, 0, 0},
        { 0, 0, 0}, { 0, 0, 0}, { 0, 0, 0}, { 0, 0, 0}
    },

    {   // BC6H/BC7 Partition Set Fixups for 2 Subsets
        { 0,15, 0}, { 0,15, 0}, { 0,15, 0}, { 0,15, 0},
        { 0,15, 0}, { 0,15, 0}, { 0,15, 0}, { 0,15, 0},
        { 0,15, 0}, { 0,15, 0}, { 0,15, 0}, { 0,15, 0},
        { 0,15, 0}, { 0,15, 0}, { 0,15, 0}, { 0,15, 0},
        { 0,15, 0}, { 0, 2, 0}, { 0, 8, 0}, { 0, 2, 0},
        { 0, 2, 0}, { 0, 8, 0}, { 0, 8, 0}, { 0,15, 0},
        { 0, 2, 0}, { 0, 8, 0}, { 0, 2, 0}, { 0, 2, 0},
        { 0, 8, 0}, { 0, 8, 0}, { 0, 2, 0}, { 0, 2, 0},

        // BC7 Partition Set Fixups for 2 Subsets (second-half)
        { 0,15, 0}, { 0,15, 0}, { 0, 6, 0}, { 0, 8, 0},
        { 0, 2, 0}, { 0, 8, 0}, { 0,15, 0}, { 0,15, 0},
        { 0, 2, 0}, { 0, 8, 0}, { 0, 2, 0}, { 0, 2, 0},
        { 0, 2, 0}, { 0,15, 0}, { 0,15, 0}, { 0, 6, 0},
        { 0, 6, 0}, { 0, 2, 0}, { 0, 6, 0}, { 0, 8, 0},
        { 0,15, 0}, { 0,15, 0}, { 0, 2, 0}, { 0, 2, 0},
        { 0,15, 0}, { 0,15, 0}, { 0,15, 0}, { 0,15, 0},
        { 0,15, 0}, { 0, 2, 0}, { 0, 2, 0}, { 0,15, 0}
    },

    {   // BC7 Partition Set Fixups for 3 Subsets
        { 0, 3,15}, { 0, 3, 8}, { 0,15, 8}, { 0,15, 3},
        { 0, 8,15}, { 0, 3,15}, { 0,15, 3}, { 0,15, 8},
        { 0, 8,15}, { 0, 8,15}, { 0, 6,15}, { 0, 6,15},
        { 0, 6,15}, { 0, 5,15}, { 0, 3,15}, { 0, 3, 8},
        { 0, 3,15}, { 0, 3, 8}, { 0, 8,15}, { 0,15, 3},
        { 0, 3,15}, { 0, 3, 8}, { 0, 6,15}, { 0,10, 8},
        { 0, 5, 3}, { 0, 8,15}, { 0, 8, 6}, { 0, 6,10},
        { 0, 8,15}, { 0, 5,15}, { 0,15,10}, { 0,15, 8},
        { 0, 8,15}, { 0,15, 3}, { 0, 3,15}, { 0, 5,10},
        { 0, 6,10}, { 0,10, 8}, { 0, 8, 9}, { 0,15,10},
        { 0,15, 6}, { 0, 3,15}, { 0,15, 8}, { 0, 5,15},
        { 0,15, 3}, { 0,15, 6}, { 0,15, 6}, { 0,15, 8},
        { 0, 3,15}, { 0,15, 3}, { 0, 5,15}, { 0, 5,15},
        { 0, 5,15}, { 0, 8,15}, { 0, 5,15}, { 0,10,15},
        { 0, 5,15}, { 0,10,15}, { 0, 8,15}, { 0,13,15},
        { 0,15, 3}, { 0,12,15}, { 0, 3,15}, { 0, 3, 8}
    }
};

// BC6H Compression
const D3DX_BC6H::ModeDescriptor D3DX_BC6H::ms_aDesc[14][82] =
{
    {   // Mode 1 (0x00) - 10 5 5 5
        { M, 0}, { M, 1}, {GY, 4}, {BY, 4}, {BZ, 4}, {RW, 0}, {RW, 1}, {RW, 2}, {RW, 3}, {RW, 4},
        {RW, 5}, {RW, 6}, {RW, 7}, {RW, 8}, {RW, 9}, {GW, 0}, {GW, 1}, {GW, 2}, {GW, 3}, {GW, 4},
        {GW, 5}, {GW, 6}, {GW, 7}, {GW, 8}, {GW, 9}, {BW, 0}, {BW, 1}, {BW, 2}, {BW, 3}, {BW, 4},
        {BW, 5}, {BW, 6}, {BW, 7}, {BW, 8}, {BW, 9}, {RX, 0}, {RX, 1}, {RX, 2}, {RX, 3}, {RX, 4},
        {GZ, 4}, {GY, 0}, {GY, 1}, {GY, 2}, {GY, 3}, {GX, 0}, {GX, 1}, {GX, 2}, {GX, 3}, {GX, 4},
        {BZ, 0}, {GZ, 0}, {GZ, 1}, {GZ, 2}, {GZ, 3}, {BX, 0}, {BX, 1}, {BX, 2}, {BX, 3}, {BX, 4},
        {BZ, 1}, {BY, 0}, {BY, 1}, {BY, 2}, {BY, 3}, {RY, 0}, {RY, 1}, {RY, 2}, {RY, 3}, {RY, 4},
        {BZ, 2}, {RZ, 0}, {RZ, 1}, {RZ, 2}, {RZ, 3}, {RZ, 4}, {BZ, 3}, { D, 0}, { D, 1}, { D, 2},
        { D, 3}, { D, 4}, 
    },

    {   // Mode 2 (0x01) - 7 6 6 6
        { M, 0}, { M, 1}, {GY, 5}, {GZ, 4}, {GZ, 5}, {RW, 0}, {RW, 1}, {RW, 2}, {RW, 3}, {RW, 4},
        {RW, 5}, {RW, 6}, {BZ, 0}, {BZ, 1}, {BY, 4}, {GW, 0}, {GW, 1}, {GW, 2}, {GW, 3}, {GW, 4},
        {GW, 5}, {GW, 6}, {BY, 5}, {BZ, 2}, {GY, 4}, {BW, 0}, {BW, 1}, {BW, 2}, {BW, 3}, {BW, 4},
        {BW, 5}, {BW, 6}, {BZ, 3}, {BZ, 5}, {BZ, 4}, {RX, 0}, {RX, 1}, {RX, 2}, {RX, 3}, {RX, 4},
        {RX, 5}, {GY, 0}, {GY, 1}, {GY, 2}, {GY, 3}, {GX, 0}, {GX, 1}, {GX, 2}, {GX, 3}, {GX, 4},
        {GX, 5}, {GZ, 0}, {GZ, 1}, {GZ, 2}, {GZ, 3}, {BX, 0}, {BX, 1}, {BX, 2}, {BX, 3}, {BX, 4},
        {BX, 5}, {BY, 0}, {BY, 1}, {BY, 2}, {BY, 3}, {RY, 0}, {RY, 1}, {RY, 2}, {RY, 3}, {RY, 4},
        {RY, 5}, {RZ, 0}, {RZ, 1}, {RZ, 2}, {RZ, 3}, {RZ, 4}, {RZ, 5}, { D, 0}, { D, 1}, { D, 2},
        { D, 3}, { D, 4}, 
    },

    {   // Mode 3 (0x02) - 11 5 4 4
        { M, 0}, { M, 1}, { M, 2}, { M, 3}, { M, 4}, {RW, 0}, {RW, 1}, {RW, 2}, {RW, 3}, {RW, 4},
        {RW, 5}, {RW, 6}, {RW, 7}, {RW, 8}, {RW, 9}, {GW, 0}, {GW, 1}, {GW, 2}, {GW, 3}, {GW, 4},
        {GW, 5}, {GW, 6}, {GW, 7}, {GW, 8}, {GW, 9}, {BW, 0}, {BW, 1}, {BW, 2}, {BW, 3}, {BW, 4},
        {BW, 5}, {BW, 6}, {BW, 7}, {BW, 8}, {BW, 9}, {RX, 0}, {RX, 1}, {RX, 2}, {RX, 3}, {RX, 4},
        {RW,10}, {GY, 0}, {GY, 1}, {GY, 2}, {GY, 3}, {GX, 0}, {GX, 1}, {GX, 2}, {GX, 3}, {GW,10},
        {BZ, 0}, {GZ, 0}, {GZ, 1}, {GZ, 2}, {GZ, 3}, {BX, 0}, {BX, 1}, {BX, 2}, {BX, 3}, {BW,10},
        {BZ, 1}, {BY, 0}, {BY, 1}, {BY, 2}, {BY, 3}, {RY, 0}, {RY, 1}, {RY, 2}, {RY, 3}, {RY, 4},
        {BZ, 2}, {RZ, 0}, {RZ, 1}, {RZ, 2}, {RZ, 3}, {RZ, 4}, {BZ, 3}, { D, 0}, { D, 1}, { D, 2},
        { D, 3}, { D, 4}, 
    },

    {   // Mode 4 (0x06) - 11 4 5 4
        { M, 0}, { M, 1}, { M, 2}, { M, 3}, { M, 4}, {RW, 0}, {RW, 1}, {RW, 2}, {RW, 3}, {RW, 4},
        {RW, 5}, {RW, 6}, {RW, 7}, {RW, 8}, {RW, 9}, {GW, 0}, {GW, 1}, {GW, 2}, {GW, 3}, {GW, 4},
        {GW, 5}, {GW, 6}, {GW, 7}, {GW, 8}, {GW, 9}, {BW, 0}, {BW, 1}, {BW, 2}, {BW, 3}, {BW, 4},
        {BW, 5}, {BW, 6}, {BW, 7}, {BW, 8}, {BW, 9}, {RX, 0}, {RX, 1}, {RX, 2}, {RX, 3}, {RW,10},
        {GZ, 4}, {GY, 0}, {GY, 1}, {GY, 2}, {GY, 3}, {GX, 0}, {GX, 1}, {GX, 2}, {GX, 3}, {GX, 4},
        {GW,10}, {GZ, 0}, {GZ, 1}, {GZ, 2}, {GZ, 3}, {BX, 0}, {BX, 1}, {BX, 2}, {BX, 3}, {BW,10},
        {BZ, 1}, {BY, 0}, {BY, 1}, {BY, 2}, {BY, 3}, {RY, 0}, {RY, 1}, {RY, 2}, {RY, 3}, {BZ, 0},
        {BZ, 2}, {RZ, 0}, {RZ, 1}, {RZ, 2}, {RZ, 3}, {GY, 4}, {BZ, 3}, { D, 0}, { D, 1}, { D, 2},
        { D, 3}, { D, 4}, 
    },

    {   // Mode 5 (0x0a) - 11 4 4 5
        { M, 0}, { M, 1}, { M, 2}, { M, 3}, { M, 4}, {RW, 0}, {RW, 1}, {RW, 2}, {RW, 3}, {RW, 4},
        {RW, 5}, {RW, 6}, {RW, 7}, {RW, 8}, {RW, 9}, {GW, 0}, {GW, 1}, {GW, 2}, {GW, 3}, {GW, 4},
        {GW, 5}, {GW, 6}, {GW, 7}, {GW, 8}, {GW, 9}, {BW, 0}, {BW, 1}, {BW, 2}, {BW, 3}, {BW, 4},
        {BW, 5}, {BW, 6}, {BW, 7}, {BW, 8}, {BW, 9}, {RX, 0}, {RX, 1}, {RX, 2}, {RX, 3}, {RW,10},
        {BY, 4}, {GY, 0}, {GY, 1}, {GY, 2}, {GY, 3}, {GX, 0}, {GX, 1}, {GX, 2}, {GX, 3}, {GW,10},
        {BZ, 0}, {GZ, 0}, {GZ, 1}, {GZ, 2}, {GZ, 3}, {BX, 0}, {BX, 1}, {BX, 2}, {BX, 3}, {BX, 4},
        {BW,10}, {BY, 0}, {BY, 1}, {BY, 2}, {BY, 3}, {RY, 0}, {RY, 1}, {RY, 2}, {RY, 3}, {BZ, 1},
        {BZ, 2}, {RZ, 0}, {RZ, 1}, {RZ, 2}, {RZ, 3}, {BZ, 4}, {BZ, 3}, { D, 0}, { D, 1}, { D, 2},
        { D, 3}, { D, 4}, 
    },

    {   // Mode 6 (0x0e) - 9 5 5 5
        { M, 0}, { M, 1}, { M, 2}, { M, 3}, { M, 4}, {RW, 0}, {RW, 1}, {RW, 2}, {RW, 3}, {RW, 4},
        {RW, 5}, {RW, 6}, {RW, 7}, {RW, 8}, {BY, 4}, {GW, 0}, {GW, 1}, {GW, 2}, {GW, 3}, {GW, 4},
        {GW, 5}, {GW, 6}, {GW, 7}, {GW, 8}, {GY, 4}, {BW, 0}, {BW, 1}, {BW, 2}, {BW, 3}, {BW, 4},
        {BW, 5}, {BW, 6}, {BW, 7}, {BW, 8}, {BZ, 4}, {RX, 0}, {RX, 1}, {RX, 2}, {RX, 3}, {RX, 4},
        {GZ, 4}, {GY, 0}, {GY, 1}, {GY, 2}, {GY, 3}, {GX, 0}, {GX, 1}, {GX, 2}, {GX, 3}, {GX, 4},
        {BZ, 0}, {GZ, 0}, {GZ, 1}, {GZ, 2}, {GZ, 3}, {BX, 0}, {BX, 1}, {BX, 2}, {BX, 3}, {BX, 4},
        {BZ, 1}, {BY, 0}, {BY, 1}, {BY, 2}, {BY, 3}, {RY, 0}, {RY, 1}, {RY, 2}, {RY, 3}, {RY, 4},
        {BZ, 2}, {RZ, 0}, {RZ, 1}, {RZ, 2}, {RZ, 3}, {RZ, 4}, {BZ, 3}, { D, 0}, { D, 1}, { D, 2},
        { D, 3}, { D, 4}, 
    },

    {   // Mode 7 (0x12) - 8 6 5 5
        { M, 0}, { M, 1}, { M, 2}, { M, 3}, { M, 4}, {RW, 0}, {RW, 1}, {RW, 2}, {RW, 3}, {RW, 4},
        {RW, 5}, {RW, 6}, {RW, 7}, {GZ, 4}, {BY, 4}, {GW, 0}, {GW, 1}, {GW, 2}, {GW, 3}, {GW, 4},
        {GW, 5}, {GW, 6}, {GW, 7}, {BZ, 2}, {GY, 4}, {BW, 0}, {BW, 1}, {BW, 2}, {BW, 3}, {BW, 4},
        {BW, 5}, {BW, 6}, {BW, 7}, {BZ, 3}, {BZ, 4}, {RX, 0}, {RX, 1}, {RX, 2}, {RX, 3}, {RX, 4},
        {RX, 5}, {GY, 0}, {GY, 1}, {GY, 2}, {GY, 3}, {GX, 0}, {GX, 1}, {GX, 2}, {GX, 3}, {GX, 4},
        {BZ, 0}, {GZ, 0}, {GZ, 1}, {GZ, 2}, {GZ, 3}, {BX, 0}, {BX, 1}, {BX, 2}, {BX, 3}, {BX, 4},
        {BZ, 1}, {BY, 0}, {BY, 1}, {BY, 2}, {BY, 3}, {RY, 0}, {RY, 1}, {RY, 2}, {RY, 3}, {RY, 4},
        {RY, 5}, {RZ, 0}, {RZ, 1}, {RZ, 2}, {RZ, 3}, {RZ, 4}, {RZ, 5}, { D, 0}, { D, 1}, { D, 2},
        { D, 3}, { D, 4}, 
    },

    {   // Mode 8 (0x16) - 8 5 6 5
        { M, 0}, { M, 1}, { M, 2}, { M, 3}, { M, 4}, {RW, 0}, {RW, 1}, {RW, 2}, {RW, 3}, {RW, 4},
        {RW, 5}, {RW, 6}, {RW, 7}, {BZ, 0}, {BY, 4}, {GW, 0}, {GW, 1}, {GW, 2}, {GW, 3}, {GW, 4},
        {GW, 5}, {GW, 6}, {GW, 7}, {GY, 5}, {GY, 4}, {BW, 0}, {BW, 1}, {BW, 2}, {BW, 3}, {BW, 4},
        {BW, 5}, {BW, 6}, {BW, 7}, {GZ, 5}, {BZ, 4}, {RX, 0}, {RX, 1}, {RX, 2}, {RX, 3}, {RX, 4},
        {GZ, 4}, {GY, 0}, {GY, 1}, {GY, 2}, {GY, 3}, {GX, 0}, {GX, 1}, {GX, 2}, {GX, 3}, {GX, 4},
        {GX, 5}, {GZ, 0}, {GZ, 1}, {GZ, 2}, {GZ, 3}, {BX, 0}, {BX, 1}, {BX, 2}, {BX, 3}, {BX, 4},
        {BZ, 1}, {BY, 0}, {BY, 1}, {BY, 2}, {BY, 3}, {RY, 0}, {RY, 1}, {RY, 2}, {RY, 3}, {RY, 4},
        {BZ, 2}, {RZ, 0}, {RZ, 1}, {RZ, 2}, {RZ, 3}, {RZ, 4}, {BZ, 3}, { D, 0}, { D, 1}, { D, 2},
        { D, 3}, { D, 4}, 
    },

    {   // Mode 9 (0x1a) - 8 5 5 6
        { M, 0}, { M, 1}, { M, 2}, { M, 3}, { M, 4}, {RW, 0}, {RW, 1}, {RW, 2}, {RW, 3}, {RW, 4},
        {RW, 5}, {RW, 6}, {RW, 7}, {BZ, 1}, {BY, 4}, {GW, 0}, {GW, 1}, {GW, 2}, {GW, 3}, {GW, 4},
        {GW, 5}, {GW, 6}, {GW, 7}, {BY, 5}, {GY, 4}, {BW, 0}, {BW, 1}, {BW, 2}, {BW, 3}, {BW, 4},
        {BW, 5}, {BW, 6}, {BW, 7}, {BZ, 5}, {BZ, 4}, {RX, 0}, {RX, 1}, {RX, 2}, {RX, 3}, {RX, 4},
        {GZ, 4}, {GY, 0}, {GY, 1}, {GY, 2}, {GY, 3}, {GX, 0}, {GX, 1}, {GX, 2}, {GX, 3}, {GX, 4},
        {BZ, 0}, {GZ, 0}, {GZ, 1}, {GZ, 2}, {GZ, 3}, {BX, 0}, {BX, 1}, {BX, 2}, {BX, 3}, {BX, 4},
        {BX, 5}, {BY, 0}, {BY, 1}, {BY, 2}, {BY, 3}, {RY, 0}, {RY, 1}, {RY, 2}, {RY, 3}, {RY, 4},
        {BZ, 2}, {RZ, 0}, {RZ, 1}, {RZ, 2}, {RZ, 3}, {RZ, 4}, {BZ, 3}, { D, 0}, { D, 1}, { D, 2},
        { D, 3}, { D, 4}, 
    },

    {   // Mode 10 (0x1e) - 6 6 6 6
        { M, 0}, { M, 1}, { M, 2}, { M, 3}, { M, 4}, {RW, 0}, {RW, 1}, {RW, 2}, {RW, 3}, {RW, 4},
        {RW, 5}, {GZ, 4}, {BZ, 0}, {BZ, 1}, {BY, 4}, {GW, 0}, {GW, 1}, {GW, 2}, {GW, 3}, {GW, 4},
        {GW, 5}, {GY, 5}, {BY, 5}, {BZ, 2}, {GY, 4}, {BW, 0}, {BW, 1}, {BW, 2}, {BW, 3}, {BW, 4},
        {BW, 5}, {GZ, 5}, {BZ, 3}, {BZ, 5}, {BZ, 4}, {RX, 0}, {RX, 1}, {RX, 2}, {RX, 3}, {RX, 4},
        {RX, 5}, {GY, 0}, {GY, 1}, {GY, 2}, {GY, 3}, {GX, 0}, {GX, 1}, {GX, 2}, {GX, 3}, {GX, 4},
        {GX, 5}, {GZ, 0}, {GZ, 1}, {GZ, 2}, {GZ, 3}, {BX, 0}, {BX, 1}, {BX, 2}, {BX, 3}, {BX, 4},
        {BX, 5}, {BY, 0}, {BY, 1}, {BY, 2}, {BY, 3}, {RY, 0}, {RY, 1}, {RY, 2}, {RY, 3}, {RY, 4},
        {RY, 5}, {RZ, 0}, {RZ, 1}, {RZ, 2}, {RZ, 3}, {RZ, 4}, {RZ, 5}, { D, 0}, { D, 1}, { D, 2},
        { D, 3}, { D, 4}, 
    },

    {   // Mode 11 (0x03) - 10 10
        { M, 0}, { M, 1}, { M, 2}, { M, 3}, { M, 4}, {RW, 0}, {RW, 1}, {RW, 2}, {RW, 3}, {RW, 4},
        {RW, 5}, {RW, 6}, {RW, 7}, {RW, 8}, {RW, 9}, {GW, 0}, {GW, 1}, {GW, 2}, {GW, 3}, {GW, 4},
        {GW, 5}, {GW, 6}, {GW, 7}, {GW, 8}, {GW, 9}, {BW, 0}, {BW, 1}, {BW, 2}, {BW, 3}, {BW, 4},
        {BW, 5}, {BW, 6}, {BW, 7}, {BW, 8}, {BW, 9}, {RX, 0}, {RX, 1}, {RX, 2}, {RX, 3}, {RX, 4},
        {RX, 5}, {RX, 6}, {RX, 7}, {RX, 8}, {RX, 9}, {GX, 0}, {GX, 1}, {GX, 2}, {GX, 3}, {GX, 4},
        {GX, 5}, {GX, 6}, {GX, 7}, {GX, 8}, {GX, 9}, {BX, 0}, {BX, 1}, {BX, 2}, {BX, 3}, {BX, 4},
        {BX, 5}, {BX, 6}, {BX, 7}, {BX, 8}, {BX, 9}, {NA, 0}, {NA, 0}, {NA, 0}, {NA, 0}, {NA, 0},
        {NA, 0}, {NA, 0}, {NA, 0}, {NA, 0}, {NA, 0}, {NA, 0}, {NA, 0}, {NA, 0}, {NA, 0}, {NA, 0},
        {NA, 0}, {NA, 0}, 
    },

    {   // Mode 12 (0x07) - 11 9
        { M, 0}, { M, 1}, { M, 2}, { M, 3}, { M, 4}, {RW, 0}, {RW, 1}, {RW, 2}, {RW, 3}, {RW, 4},
        {RW, 5}, {RW, 6}, {RW, 7}, {RW, 8}, {RW, 9}, {GW, 0}, {GW, 1}, {GW, 2}, {GW, 3}, {GW, 4},
        {GW, 5}, {GW, 6}, {GW, 7}, {GW, 8}, {GW, 9}, {BW, 0}, {BW, 1}, {BW, 2}, {BW, 3}, {BW, 4},
        {BW, 5}, {BW, 6}, {BW, 7}, {BW, 8}, {BW, 9}, {RX, 0}, {RX, 1}, {RX, 2}, {RX, 3}, {RX, 4},
        {RX, 5}, {RX, 6}, {RX, 7}, {RX, 8}, {RW,10}, {GX, 0}, {GX, 1}, {GX, 2}, {GX, 3}, {GX, 4},
        {GX, 5}, {GX, 6}, {GX, 7}, {GX, 8}, {GW,10}, {BX, 0}, {BX, 1}, {BX, 2}, {BX, 3}, {BX, 4},
        {BX, 5}, {BX, 6}, {BX, 7}, {BX, 8}, {BW,10}, {NA, 0}, {NA, 0}, {NA, 0}, {NA, 0}, {NA, 0},
        {NA, 0}, {NA, 0}, {NA, 0}, {NA, 0}, {NA, 0}, {NA, 0}, {NA, 0}, {NA, 0}, {NA, 0}, {NA, 0},
        {NA, 0}, {NA, 0}, 
    },

    {   // Mode 13 (0x0b) - 12 8
        { M, 0}, { M, 1}, { M, 2}, { M, 3}, { M, 4}, {RW, 0}, {RW, 1}, {RW, 2}, {RW, 3}, {RW, 4},
        {RW, 5}, {RW, 6}, {RW, 7}, {RW, 8}, {RW, 9}, {GW, 0}, {GW, 1}, {GW, 2}, {GW, 3}, {GW, 4},
        {GW, 5}, {GW, 6}, {GW, 7}, {GW, 8}, {GW, 9}, {BW, 0}, {BW, 1}, {BW, 2}, {BW, 3}, {BW, 4},
        {BW, 5}, {BW, 6}, {BW, 7}, {BW, 8}, {BW, 9}, {RX, 0}, {RX, 1}, {RX, 2}, {RX, 3}, {RX, 4},
        {RX, 5}, {RX, 6}, {RX, 7}, {RW,11}, {RW,10}, {GX, 0}, {GX, 1}, {GX, 2}, {GX, 3}, {GX, 4},
        {GX, 5}, {GX, 6}, {GX, 7}, {GW,11}, {GW,10}, {BX, 0}, {BX, 1}, {BX, 2}, {BX, 3}, {BX, 4},
        {BX, 5}, {BX, 6}, {BX, 7}, {BW,11}, {BW,10}, {NA, 0}, {NA, 0}, {NA, 0}, {NA, 0}, {NA, 0},
        {NA, 0}, {NA, 0}, {NA, 0}, {NA, 0}, {NA, 0}, {NA, 0}, {NA, 0}, {NA, 0}, {NA, 0}, {NA, 0},
        {NA, 0}, {NA, 0}, 
    },

    {   // Mode 14 (0x0f) - 16 4
        { M, 0}, { M, 1}, { M, 2}, { M, 3}, { M, 4}, {RW, 0}, {RW, 1}, {RW, 2}, {RW, 3}, {RW, 4},
        {RW, 5}, {RW, 6}, {RW, 7}, {RW, 8}, {RW, 9}, {GW, 0}, {GW, 1}, {GW, 2}, {GW, 3}, {GW, 4},
        {GW, 5}, {GW, 6}, {GW, 7}, {GW, 8}, {GW, 9}, {BW, 0}, {BW, 1}, {BW, 2}, {BW, 3}, {BW, 4},
        {BW, 5}, {BW, 6}, {BW, 7}, {BW, 8}, {BW, 9}, {RX, 0}, {RX, 1}, {RX, 2}, {RX, 3}, {RW,15},
        {RW,14}, {RW,13}, {RW,12}, {RW,11}, {RW,10}, {GX, 0}, {GX, 1}, {GX, 2}, {GX, 3}, {GW,15},
        {GW,14}, {GW,13}, {GW,12}, {GW,11}, {GW,10}, {BX, 0}, {BX, 1}, {BX, 2}, {BX, 3}, {BW,15},
        {BW,14}, {BW,13}, {BW,12}, {BW,11}, {BW,10}, {NA, 0}, {NA, 0}, {NA, 0}, {NA, 0}, {NA, 0},
        {NA, 0}, {NA, 0}, {NA, 0}, {NA, 0}, {NA, 0}, {NA, 0}, {NA, 0}, {NA, 0}, {NA, 0}, {NA, 0},
        {NA, 0}, {NA, 0}, 
    },
};

// Mode, Partitions, Transformed, IndexPrec, RGBAPrec
const D3DX_BC6H::ModeInfo D3DX_BC6H::ms_aInfo[] =
{
    {0x00, 1, true,  3, LDRColorA(10,10,10,0), LDRColorA( 5, 5, 5,0), LDRColorA(5,5,5,0), LDRColorA(5,5,5,0)}, // Mode 1
    {0x01, 1, true,  3, LDRColorA( 7, 7, 7,0), LDRColorA( 6, 6, 6,0), LDRColorA(6,6,6,0), LDRColorA(6,6,6,0)}, // Mode 2
    {0x02, 1, true,  3, LDRColorA(11,11,11,0), LDRColorA( 5, 4, 4,0), LDRColorA(5,4,4,0), LDRColorA(5,4,4,0)}, // Mode 3
    {0x06, 1, true,  3, LDRColorA(11,11,11,0), LDRColorA( 4, 5, 4,0), LDRColorA(4,5,4,0), LDRColorA(4,5,4,0)}, // Mode 4
    {0x0a, 1, true,  3, LDRColorA(11,11,11,0), LDRColorA( 4, 4, 5,0), LDRColorA(4,4,5,0), LDRColorA(4,4,5,0)}, // Mode 5
    {0x0e, 1, true,  3, LDRColorA( 9, 9, 9,0), LDRColorA( 5, 5, 5,0), LDRColorA(5,5,5,0), LDRColorA(5,5,5,0)}, // Mode 6
    {0x12, 1, true,  3, LDRColorA( 8, 8, 8,0), LDRColorA( 6, 5, 5,0), LDRColorA(6,5,5,0), LDRColorA(6,5,5,0)}, // Mode 7
    {0x16, 1, true,  3, LDRColorA( 8, 8, 8,0), LDRColorA( 5, 6, 5,0), LDRColorA(5,6,5,0), LDRColorA(5,6,5,0)}, // Mode 8
    {0x1a, 1, true,  3, LDRColorA( 8, 8, 8,0), LDRColorA( 5, 5, 6,0), LDRColorA(5,5,6,0), LDRColorA(5,5,6,0)}, // Mode 9
    {0x1e, 1, false, 3, LDRColorA( 6, 6, 6,0), LDRColorA( 6, 6, 6,0), LDRColorA(6,6,6,0), LDRColorA(6,6,6,0)}, // Mode 10
    {0x03, 0, false, 4, LDRColorA(10,10,10,0), LDRColorA(10,10,10,0), LDRColorA(0,0,0,0), LDRColorA(0,0,0,0)}, // Mode 11
    {0x07, 0, true,  4, LDRColorA(11,11,11,0), LDRColorA( 9, 9, 9,0), LDRColorA(0,0,0,0), LDRColorA(0,0,0,0)}, // Mode 12
    {0x0b, 0, true,  4, LDRColorA(12,12,12,0), LDRColorA( 8, 8, 8,0), LDRColorA(0,0,0,0), LDRColorA(0,0,0,0)}, // Mode 13
    {0x0f, 0, true,  4, LDRColorA(16,16,16,0), LDRColorA( 4, 4, 4,0), LDRColorA(0,0,0,0), LDRColorA(0,0,0,0)}, // Mode 14
};

const int D3DX_BC6H::ms_aModeToInfo[] =
{
     0, // Mode 1   - 0x00
     1, // Mode 2   - 0x01
     2, // Mode 3   - 0x02
    10, // Mode 11  - 0x03
    -1, // Invalid  - 0x04
    -1, // Invalid  - 0x05
     3, // Mode 4   - 0x06
    11, // Mode 12  - 0x07
    -1, // Invalid  - 0x08
    -1, // Invalid  - 0x09
     4, // Mode 5   - 0x0a
    12, // Mode 13  - 0x0b
    -1, // Invalid  - 0x0c
    -1, // Invalid  - 0x0d
     5, // Mode 6   - 0x0e
    13, // Mode 14  - 0x0f
    -1, // Invalid  - 0x10
    -1, // Invalid  - 0x11
     6, // Mode 7   - 0x12
    -1, // Reserved - 0x13
    -1, // Invalid  - 0x14
    -1, // Invalid  - 0x15
     7, // Mode 8   - 0x16
    -1, // Reserved - 0x17
    -1, // Invalid  - 0x18
    -1, // Invalid  - 0x19
     8, // Mode 9   - 0x1a
    -1, // Reserved - 0x1b
    -1, // Invalid  - 0x1c
    -1, // Invalid  - 0x1d
     9, // Mode 10  - 0x1e
    -1, // Resreved - 0x1f
};

// BC7 compression: uPartitions, uPartitionBits, uPBits, uRotationBits, uIndexModeBits, uIndexPrec, uIndexPrec2, RGBAPrec, RGBAPrecWithP
const D3DX_BC7::ModeInfo D3DX_BC7::ms_aInfo[] =
{
    {2, 4, 6, 0, 0, 3, 0, LDRColorA(4,4,4,0), LDRColorA(5,5,5,0)},
        // Mode 0: Color only, 3 Subsets, RGBP 4441 (unique P-bit), 3-bit indecies, 16 partitions
    {1, 6, 2, 0, 0, 3, 0, LDRColorA(6,6,6,0), LDRColorA(7,7,7,0)},
        // Mode 1: Color only, 2 Subsets, RGBP 6661 (shared P-bit), 3-bit indecies, 64 partitions
    {2, 6, 0, 0, 0, 2, 0, LDRColorA(5,5,5,0), LDRColorA(5,5,5,0)},
        // Mode 2: Color only, 3 Subsets, RGB 555, 2-bit indecies, 64 partitions
    {1, 6, 4, 0, 0, 2, 0, LDRColorA(7,7,7,0), LDRColorA(8,8,8,0)},
        // Mode 3: Color only, 2 Subsets, RGBP 7771 (unique P-bit), 2-bits indecies, 64 partitions
    {0, 0, 0, 2, 1, 2, 3, LDRColorA(5,5,5,6), LDRColorA(5,5,5,6)},
        // Mode 4: Color w/ Separate Alpha, 1 Subset, RGB 555, A6, 16x2/16x3-bit indices, 2-bit rotation, 1-bit index selector
    {0, 0, 0, 2, 0, 2, 2, LDRColorA(7,7,7,8), LDRColorA(7,7,7,8)},
        // Mode 5: Color w/ Separate Alpha, 1 Subset, RGB 777, A8, 16x2/16x2-bit indices, 2-bit rotation
    {0, 0, 2, 0, 0, 4, 0, LDRColorA(7,7,7,7), LDRColorA(8,8,8,8)},
        // Mode 6: Color+Alpha, 1 Subset, RGBAP 77771 (unique P-bit), 16x4-bit indecies
    {1, 6, 4, 0, 0, 2, 0, LDRColorA(5,5,5,5), LDRColorA(6,6,6,6)}
        // Mode 7: Color+Alpha, 2 Subsets, RGBAP 55551 (unique P-bit), 2-bit indices, 64 partitions
};


//-------------------------------------------------------------------------------------
// Helper functions
//-------------------------------------------------------------------------------------
inline static bool IsFixUpOffset(_In_range_(0,2) size_t uPartitions, _In_range_(0,63) size_t uShape, _In_range_(0,15) size_t uOffset)
{
    assert(uPartitions < 3 && uShape < 64 && uOffset < 16);
    _Analysis_assume_(uPartitions < 3 && uShape < 64 && uOffset < 16);
    for(size_t p = 0; p <= uPartitions; p++)
    {
        if(uOffset == g_aFixUp[uPartitions][uShape][p])
        {
            return true;
        }
    }
    return false;
}

inline static void TransformForward(_Inout_updates_all_(BC6H_MAX_REGIONS) INTEndPntPair aEndPts[])
{
    aEndPts[0].B -= aEndPts[0].A;
    aEndPts[1].A -= aEndPts[0].A;
    aEndPts[1].B -= aEndPts[0].A;
}

inline static void TransformInverse(_Inout_updates_all_(BC6H_MAX_REGIONS) INTEndPntPair aEndPts[], _In_ const LDRColorA& Prec, _In_ bool bSigned)
{
    INTColor WrapMask((1 << Prec.r) - 1, (1 << Prec.g) - 1, (1 << Prec.b) - 1);
    aEndPts[0].B += aEndPts[0].A; aEndPts[0].B &= WrapMask; 
    aEndPts[1].A += aEndPts[0].A; aEndPts[1].A &= WrapMask;
    aEndPts[1].B += aEndPts[0].A; aEndPts[1].B &= WrapMask;
    if(bSigned)
    {
        aEndPts[0].B.SignExtend(Prec);
        aEndPts[1].A.SignExtend(Prec);
        aEndPts[1].B.SignExtend(Prec);
    }
}

inline static float Norm(_In_ const INTColor& a, _In_ const INTColor& b)
{
    float dr = float(a.r) - float(b.r);
    float dg = float(a.g) - float(b.g);
    float db = float(a.b) - float(b.b);
    return dr * dr + dg * dg + db * db;
}

// return # of bits needed to store n. handle signed or unsigned cases properly
inline static int NBits(_In_ int n, _In_ bool bIsSigned)
{
    int nb;
    if(n == 0)
    {
        return 0;	// no bits needed for 0, signed or not
    }
    else if(n > 0)
    {
        for(nb = 0; n; ++nb, n >>= 1);
        return nb + (bIsSigned ? 1 : 0);
    }
    else
    {
        assert(bIsSigned);
        for(nb = 0; n < -1; ++nb, n >>= 1) ;
        return nb + 1;
    }
}


//-------------------------------------------------------------------------------------
static float OptimizeRGB(_In_reads_(NUM_PIXELS_PER_BLOCK) const HDRColorA* const pPoints,
                         _Out_ HDRColorA* pX, _Out_ HDRColorA* pY,
                         _In_ size_t cSteps, _In_ size_t cPixels, _In_reads_(cPixels) const size_t* pIndex)
{
    float fError = FLT_MAX;
    const float *pC = (3 == cSteps) ? pC3 : pC4;
    const float *pD = (3 == cSteps) ? pD3 : pD4;

    // Find Min and Max points, as starting point
    HDRColorA X(1.0f, 1.0f, 1.0f, 0.0f);
    HDRColorA Y(0.0f, 0.0f, 0.0f, 0.0f);

    for(size_t iPoint = 0; iPoint < cPixels; iPoint++)
    {
        if(pPoints[pIndex[iPoint]].r < X.r) X.r = pPoints[pIndex[iPoint]].r;
        if(pPoints[pIndex[iPoint]].g < X.g) X.g = pPoints[pIndex[iPoint]].g;
        if(pPoints[pIndex[iPoint]].b < X.b) X.b = pPoints[pIndex[iPoint]].b;
        if(pPoints[pIndex[iPoint]].r > Y.r) Y.r = pPoints[pIndex[iPoint]].r;
        if(pPoints[pIndex[iPoint]].g > Y.g) Y.g = pPoints[pIndex[iPoint]].g;
        if(pPoints[pIndex[iPoint]].b > Y.b) Y.b = pPoints[pIndex[iPoint]].b;
    }

    // Diagonal axis
    HDRColorA AB;
    AB.r = Y.r - X.r;
    AB.g = Y.g - X.g;
    AB.b = Y.b - X.b;

    float fAB = AB.r * AB.r + AB.g * AB.g + AB.b * AB.b;

    // Single color block.. no need to root-find
    if(fAB < FLT_MIN)
    {
        pX->r = X.r; pX->g = X.g; pX->b = X.b;
        pY->r = Y.r; pY->g = Y.g; pY->b = Y.b;
        return 0.0f;
    }

    // Try all four axis directions, to determine which diagonal best fits data
    float fABInv = 1.0f / fAB;

    HDRColorA Dir;
    Dir.r = AB.r * fABInv;
    Dir.g = AB.g * fABInv;
    Dir.b = AB.b * fABInv;

    HDRColorA Mid;
    Mid.r = (X.r + Y.r) * 0.5f;
    Mid.g = (X.g + Y.g) * 0.5f;
    Mid.b = (X.b + Y.b) * 0.5f;

    float fDir[4];
    fDir[0] = fDir[1] = fDir[2] = fDir[3] = 0.0f;

    for(size_t iPoint = 0; iPoint < cPixels; iPoint++)
    {
        HDRColorA Pt;
        Pt.r = (pPoints[pIndex[iPoint]].r - Mid.r) * Dir.r;
        Pt.g = (pPoints[pIndex[iPoint]].g - Mid.g) * Dir.g;
        Pt.b = (pPoints[pIndex[iPoint]].b - Mid.b) * Dir.b;

        float f;
        f = Pt.r + Pt.g + Pt.b; fDir[0] += f * f;
        f = Pt.r + Pt.g - Pt.b; fDir[1] += f * f;
        f = Pt.r - Pt.g + Pt.b; fDir[2] += f * f;
        f = Pt.r - Pt.g - Pt.b; fDir[3] += f * f;
    }

    float fDirMax = fDir[0];
    size_t  iDirMax = 0;

    for(size_t iDir = 1; iDir < 4; iDir++)
    {
        if(fDir[iDir] > fDirMax)
        {
            fDirMax = fDir[iDir];
            iDirMax = iDir;
        }
    }

    if(iDirMax & 2) std::swap( X.g, Y.g );
    if(iDirMax & 1) std::swap( X.b, Y.b );

    // Two color block.. no need to root-find
    if(fAB < 1.0f / 4096.0f)
    {
        pX->r = X.r; pX->g = X.g; pX->b = X.b;
        pY->r = Y.r; pY->g = Y.g; pY->b = Y.b;
        return 0.0f;
    }

    // Use Newton's Method to find local minima of sum-of-squares error.
    float fSteps = (float) (cSteps - 1);

    for(size_t iIteration = 0; iIteration < 8; iIteration++)
    {
        // Calculate new steps
        HDRColorA pSteps[4] = {};

        for(size_t iStep = 0; iStep < cSteps; iStep++)
        {
            pSteps[iStep].r = X.r * pC[iStep] + Y.r * pD[iStep];
            pSteps[iStep].g = X.g * pC[iStep] + Y.g * pD[iStep];
            pSteps[iStep].b = X.b * pC[iStep] + Y.b * pD[iStep];
        }

        // Calculate color direction
        Dir.r = Y.r - X.r;
        Dir.g = Y.g - X.g;
        Dir.b = Y.b - X.b;

        float fLen = (Dir.r * Dir.r + Dir.g * Dir.g + Dir.b * Dir.b);

        if(fLen < (1.0f / 4096.0f))
            break;

        float fScale = fSteps / fLen;

        Dir.r *= fScale;
        Dir.g *= fScale;
        Dir.b *= fScale;

        // Evaluate function, and derivatives
        float d2X = 0.0f, d2Y = 0.0f;
        HDRColorA dX(0.0f, 0.0f, 0.0f, 0.0f), dY(0.0f, 0.0f, 0.0f, 0.0f);

        for(size_t iPoint = 0; iPoint < cPixels; iPoint++)
        {
            float fDot = (pPoints[pIndex[iPoint]].r - X.r) * Dir.r + 
                (pPoints[pIndex[iPoint]].g - X.g) * Dir.g + 
                (pPoints[pIndex[iPoint]].b - X.b) * Dir.b;

            size_t iStep;
            if(fDot <= 0.0f)
                iStep = 0;
            if(fDot >= fSteps)
                iStep = cSteps - 1;
            else
                iStep = size_t(fDot + 0.5f);

            HDRColorA Diff;
            Diff.r = pSteps[iStep].r - pPoints[pIndex[iPoint]].r;
            Diff.g = pSteps[iStep].g - pPoints[pIndex[iPoint]].g;
            Diff.b = pSteps[iStep].b - pPoints[pIndex[iPoint]].b;

            float fC = pC[iStep] * (1.0f / 8.0f);
            float fD = pD[iStep] * (1.0f / 8.0f);

            d2X  += fC * pC[iStep];
            dX.r += fC * Diff.r;
            dX.g += fC * Diff.g;
            dX.b += fC * Diff.b;

            d2Y  += fD * pD[iStep];
            dY.r += fD * Diff.r;
            dY.g += fD * Diff.g;
            dY.b += fD * Diff.b;
        }

        // Move endpoints
        if(d2X > 0.0f)
        {
            float f = -1.0f / d2X;

            X.r += dX.r * f;
            X.g += dX.g * f;
            X.b += dX.b * f;
        }

        if(d2Y > 0.0f)
        {
            float f = -1.0f / d2Y;

            Y.r += dY.r * f;
            Y.g += dY.g * f;
            Y.b += dY.b * f;
        }

        if((dX.r * dX.r < fEpsilon) && (dX.g * dX.g < fEpsilon) && (dX.b * dX.b < fEpsilon) &&
            (dY.r * dY.r < fEpsilon) && (dY.g * dY.g < fEpsilon) && (dY.b * dY.b < fEpsilon))
        {
            break;
        }
    }

    pX->r = X.r; pX->g = X.g; pX->b = X.b;
    pY->r = Y.r; pY->g = Y.g; pY->b = Y.b;
    return fError;
}


//-------------------------------------------------------------------------------------
static float OptimizeRGBA(_In_reads_(NUM_PIXELS_PER_BLOCK) const HDRColorA* const pPoints,
                          _Out_ HDRColorA* pX, _Out_ HDRColorA* pY,
                          _In_ size_t cSteps, _In_ size_t cPixels, _In_reads_(cPixels) const size_t* pIndex)
{
    float fError = FLT_MAX;
    const float *pC = (3 == cSteps) ? pC3 : pC4;
    const float *pD = (3 == cSteps) ? pD3 : pD4;

    // Find Min and Max points, as starting point
    HDRColorA X(1.0f, 1.0f, 1.0f, 1.0f);
    HDRColorA Y(0.0f, 0.0f, 0.0f, 0.0f);

    for(size_t iPoint = 0; iPoint < cPixels; iPoint++)
    {
        if(pPoints[pIndex[iPoint]].r < X.r) X.r = pPoints[pIndex[iPoint]].r;
        if(pPoints[pIndex[iPoint]].g < X.g) X.g = pPoints[pIndex[iPoint]].g;
        if(pPoints[pIndex[iPoint]].b < X.b) X.b = pPoints[pIndex[iPoint]].b;
        if(pPoints[pIndex[iPoint]].a < X.a) X.a = pPoints[pIndex[iPoint]].a;
        if(pPoints[pIndex[iPoint]].r > Y.r) Y.r = pPoints[pIndex[iPoint]].r;
        if(pPoints[pIndex[iPoint]].g > Y.g) Y.g = pPoints[pIndex[iPoint]].g;
        if(pPoints[pIndex[iPoint]].b > Y.b) Y.b = pPoints[pIndex[iPoint]].b;
        if(pPoints[pIndex[iPoint]].a > Y.a) Y.a = pPoints[pIndex[iPoint]].a;
    }

    // Diagonal axis
    HDRColorA AB = Y - X;
    float fAB = AB * AB;

    // Single color block.. no need to root-find
    if(fAB < FLT_MIN)
    {
        *pX = X;
        *pY = Y;
        return 0.0f;
    }

    // Try all four axis directions, to determine which diagonal best fits data
    float fABInv = 1.0f / fAB;
    HDRColorA Dir = AB * fABInv;
    HDRColorA Mid = (X + Y) * 0.5f;

    float fDir[8];
    fDir[0] = fDir[1] = fDir[2] = fDir[3] = fDir[4] = fDir[5] = fDir[6] = fDir[7] = 0.0f;

    for(size_t iPoint = 0; iPoint < cPixels; iPoint++)
    {
        HDRColorA Pt;
        Pt.r = (pPoints[pIndex[iPoint]].r - Mid.r) * Dir.r;
        Pt.g = (pPoints[pIndex[iPoint]].g - Mid.g) * Dir.g;
        Pt.b = (pPoints[pIndex[iPoint]].b - Mid.b) * Dir.b;
        Pt.a = (pPoints[pIndex[iPoint]].a - Mid.a) * Dir.a;

        float f;
        f = Pt.r + Pt.g + Pt.b + Pt.a; fDir[0] += f * f;
        f = Pt.r + Pt.g + Pt.b - Pt.a; fDir[1] += f * f;
        f = Pt.r + Pt.g - Pt.b + Pt.a; fDir[2] += f * f;
        f = Pt.r + Pt.g - Pt.b - Pt.a; fDir[3] += f * f;
        f = Pt.r - Pt.g + Pt.b + Pt.a; fDir[4] += f * f;
        f = Pt.r - Pt.g + Pt.b - Pt.a; fDir[5] += f * f;
        f = Pt.r - Pt.g - Pt.b + Pt.a; fDir[6] += f * f;
        f = Pt.r - Pt.g - Pt.b - Pt.a; fDir[7] += f * f;
    }

    float fDirMax = fDir[0];
    size_t  iDirMax = 0;

    for(size_t iDir = 1; iDir < 8; iDir++)
    {
        if(fDir[iDir] > fDirMax)
        {
            fDirMax = fDir[iDir];
            iDirMax = iDir;
        }
    }

    if(iDirMax & 4) std::swap(X.g, Y.g);
    if(iDirMax & 2) std::swap(X.b, Y.b);
    if(iDirMax & 1) std::swap(X.a, Y.a);

    // Two color block.. no need to root-find
    if(fAB < 1.0f / 4096.0f)
    {
        *pX = X;
        *pY = Y;
        return 0.0f;
    }

    // Use Newton's Method to find local minima of sum-of-squares error.
    float fSteps = (float) (cSteps - 1);

    for(size_t iIteration = 0; iIteration < 8 && fError > 0.0f; iIteration++)
    {
        // Calculate new steps
        HDRColorA pSteps[BC7_MAX_INDICES];

        LDRColorA lX, lY;
        lX = (X * 255.0f).ToLDRColorA();
        lY = (Y * 255.0f).ToLDRColorA();

        for(size_t iStep = 0; iStep < cSteps; iStep++)
        {
            pSteps[iStep] = X * pC[iStep] + Y * pD[iStep];
            //LDRColorA::Interpolate(lX, lY, i, i, wcprec, waprec, aSteps[i]);
        }

        // Calculate color direction
        Dir = Y - X;
        float fLen = Dir * Dir;
        if(fLen < (1.0f / 4096.0f))
            break;

        float fScale = fSteps / fLen;
        Dir *= fScale;

        // Evaluate function, and derivatives
        float d2X = 0.0f, d2Y = 0.0f;
        HDRColorA dX(0.0f, 0.0f, 0.0f, 0.0f), dY(0.0f, 0.0f, 0.0f, 0.0f);

        for(size_t iPoint = 0; iPoint < cPixels; ++iPoint)
        {
            float fDot = (pPoints[pIndex[iPoint]] - X) * Dir;
            size_t iStep;
            if(fDot <= 0.0f)
                iStep = 0;
            if(fDot >= fSteps)
                iStep = cSteps - 1;
            else
                iStep = size_t(fDot + 0.5f);

            HDRColorA Diff = pSteps[iStep] - pPoints[pIndex[iPoint]];
            float fC = pC[iStep] * (1.0f / 8.0f);
            float fD = pD[iStep] * (1.0f / 8.0f);

            d2X  += fC * pC[iStep];
            dX += Diff * fC;

            d2Y  += fD * pD[iStep];
            dY += Diff * fD;
        }

        // Move endpoints
        if(d2X > 0.0f)
        {
            float f = -1.0f / d2X;
            X += dX * f;
        }

        if(d2Y > 0.0f)
        {
            float f = -1.0f / d2Y;
            Y += dY * f;
        }

        if((dX * dX < fEpsilon) && (dY * dY < fEpsilon))
            break;
    }

    *pX = X;
    *pY = Y;
    return fError;
}


//-------------------------------------------------------------------------------------

static float ComputeError(_Inout_ const LDRColorA& pixel, _In_reads_(1 << uIndexPrec) const LDRColorA aPalette[],
                          _In_ uint8_t uIndexPrec, _In_ uint8_t uIndexPrec2, _Out_opt_ size_t* pBestIndex = nullptr, _Out_opt_ size_t* pBestIndex2 = nullptr)
{
    const size_t uNumIndices = size_t(1) << uIndexPrec;
    const size_t uNumIndices2 = size_t(1) << uIndexPrec2;
    float fTotalErr = 0;
    float fBestErr = FLT_MAX;

    if(pBestIndex)
        *pBestIndex = 0;
    if(pBestIndex2)
        *pBestIndex2 = 0;

    XMVECTOR vpixel = XMLoadUByte4( reinterpret_cast<const XMUBYTE4*>( &pixel ) );

    if(uIndexPrec2 == 0)
    {
        for(register size_t i = 0; i < uNumIndices && fBestErr > 0; i++)
        {
            XMVECTOR tpixel = XMLoadUByte4( reinterpret_cast<const XMUBYTE4*>( &aPalette[i] ) );
            // Compute ErrorMetric
            tpixel = XMVectorSubtract( vpixel, tpixel );
            float fErr = XMVectorGetX( XMVector4Dot( tpixel, tpixel ) );
            if(fErr > fBestErr)	// error increased, so we're done searching
                break;
            if(fErr < fBestErr)
            {
                fBestErr = fErr;
                if(pBestIndex)
                    *pBestIndex = i;
            }
        }
        fTotalErr += fBestErr;
    }
    else
    {
        for(register size_t i = 0; i < uNumIndices && fBestErr > 0; i++)
        {
            XMVECTOR tpixel = XMLoadUByte4( reinterpret_cast<const XMUBYTE4*>( &aPalette[i] ) );
            // Compute ErrorMetricRGB
            tpixel = XMVectorSubtract( vpixel, tpixel );
            float fErr = XMVectorGetX( XMVector3Dot( tpixel, tpixel ) );
            if(fErr > fBestErr)	// error increased, so we're done searching
                break;
            if(fErr < fBestErr)
            {
                fBestErr = fErr;
                if(pBestIndex)
                    *pBestIndex = i;
            }
        }
        fTotalErr += fBestErr;
        fBestErr = FLT_MAX;
        for(register size_t i = 0; i < uNumIndices2 && fBestErr > 0; i++)
        {
            // Compute ErrorMetricAlpha
            float ea = float(pixel.a) - float(aPalette[i].a);
            float fErr = ea*ea;
            if(fErr > fBestErr)	// error increased, so we're done searching
                break;
            if(fErr < fBestErr)
            {
                fBestErr = fErr;
                if(pBestIndex2)
                    *pBestIndex2 = i;
            }
        }
        fTotalErr += fBestErr;
    }

    return fTotalErr;
}


inline static void FillWithErrorColors( _Out_writes_(NUM_PIXELS_PER_BLOCK) HDRColorA* pOut )
{
    for(size_t i = 0; i < NUM_PIXELS_PER_BLOCK; ++i)
    {
#ifdef _DEBUG
        // Use Magenta in debug as a highly-visible error color
        pOut[i] = HDRColorA(1.0f, 0.0f, 1.0f, 1.0f);
#else
        // In production use, default to black
        pOut[i] = HDRColorA(0.0f, 0.0f, 0.0f, 1.0f);
#endif
    }
}


//-------------------------------------------------------------------------------------
// BC6H Compression
//-------------------------------------------------------------------------------------
_Use_decl_annotations_
void D3DX_BC6H::Decode(bool bSigned, HDRColorA* pOut) const
{
    assert(pOut );

    size_t uStartBit = 0;
    uint8_t uMode = GetBits(uStartBit, 2);
    if(uMode != 0x00 && uMode != 0x01)
    {
        uMode = (GetBits(uStartBit, 3) << 2) | uMode;
    }

    assert( uMode < 32 );
    _Analysis_assume_( uMode < 32 );

    if ( ms_aModeToInfo[uMode] >= 0 )
    {
        assert(ms_aModeToInfo[uMode] < ARRAYSIZE(ms_aInfo));
        _Analysis_assume_(ms_aModeToInfo[uMode] < ARRAYSIZE(ms_aInfo));
        const ModeDescriptor* desc = ms_aDesc[ms_aModeToInfo[uMode]];

        assert(ms_aModeToInfo[uMode] < ARRAYSIZE(ms_aDesc));
        _Analysis_assume_(ms_aModeToInfo[uMode] < ARRAYSIZE(ms_aDesc));
        const ModeInfo& info = ms_aInfo[ms_aModeToInfo[uMode]];

        INTEndPntPair aEndPts[BC6H_MAX_REGIONS];
        memset(aEndPts, 0, BC6H_MAX_REGIONS * 2 * sizeof(INTColor));
        uint32_t uShape = 0;

        // Read header
        const size_t uHeaderBits = info.uPartitions > 0 ? 82 : 65;
        while(uStartBit < uHeaderBits)
        {
            size_t uCurBit = uStartBit;
            if(GetBit(uStartBit))
            {
                switch(desc[uCurBit].m_eField)
                {
                case D:  uShape |= 1 << uint32_t(desc[uCurBit].m_uBit); break;
                case RW: aEndPts[0].A.r |= 1 << uint32_t(desc[uCurBit].m_uBit); break;
                case RX: aEndPts[0].B.r |= 1 << uint32_t(desc[uCurBit].m_uBit); break;
                case RY: aEndPts[1].A.r |= 1 << uint32_t(desc[uCurBit].m_uBit); break;
                case RZ: aEndPts[1].B.r |= 1 << uint32_t(desc[uCurBit].m_uBit); break;
                case GW: aEndPts[0].A.g |= 1 << uint32_t(desc[uCurBit].m_uBit); break;
                case GX: aEndPts[0].B.g |= 1 << uint32_t(desc[uCurBit].m_uBit); break;
                case GY: aEndPts[1].A.g |= 1 << uint32_t(desc[uCurBit].m_uBit); break;
                case GZ: aEndPts[1].B.g |= 1 << uint32_t(desc[uCurBit].m_uBit); break;
                case BW: aEndPts[0].A.b |= 1 << uint32_t(desc[uCurBit].m_uBit); break;
                case BX: aEndPts[0].B.b |= 1 << uint32_t(desc[uCurBit].m_uBit); break;
                case BY: aEndPts[1].A.b |= 1 << uint32_t(desc[uCurBit].m_uBit); break;
                case BZ: aEndPts[1].B.b |= 1 << uint32_t(desc[uCurBit].m_uBit); break;
                default:
                    {
#ifdef _DEBUG
                        OutputDebugStringA( "BC6H: Invalid header bits encountered during decoding\n" );
#endif
                        FillWithErrorColors( pOut );
                        return;
                    }
                }
            }
        }

        assert( uShape < 64 );
        _Analysis_assume_( uShape < 64 ); 

        // Sign extend necessary end points
        if(bSigned)
        {
            aEndPts[0].A.SignExtend(info.RGBAPrec[0][0]);
        }
        if(bSigned || info.bTransformed)
        {
            assert( info.uPartitions < BC6H_MAX_REGIONS );
            _Analysis_assume_( info.uPartitions < BC6H_MAX_REGIONS );
            for(size_t p = 0; p <= info.uPartitions; ++p)
            {
                if(p != 0)
                {
                    aEndPts[p].A.SignExtend(info.RGBAPrec[p][0]);
                }
                aEndPts[p].B.SignExtend(info.RGBAPrec[p][1]);
            }
        }

        // Inverse transform the end points
        if(info.bTransformed)
        {
            TransformInverse(aEndPts, info.RGBAPrec[0][0], bSigned);
        }

        // Read indices
        for(size_t i = 0; i < NUM_PIXELS_PER_BLOCK; ++i)
        {
            size_t uNumBits = IsFixUpOffset(info.uPartitions, uShape, i) ? info.uIndexPrec-1 : info.uIndexPrec;
            if ( uStartBit + uNumBits > 128 )
            {
#ifdef _DEBUG
                OutputDebugStringA( "BC6H: Invalid block encountered during decoding\n" );
#endif
                FillWithErrorColors( pOut );
                return;
            }
            uint8_t uIndex = GetBits(uStartBit, uNumBits);

            if ( uIndex >= ((info.uPartitions > 0) ? 8 : 16) )
            {
#ifdef _DEBUG
                OutputDebugStringA( "BC6H: Invalid index encountered during decoding\n" );
#endif
                FillWithErrorColors( pOut );
                return;
            }

            size_t uRegion = g_aPartitionTable[info.uPartitions][uShape][i];
            assert( uRegion < BC6H_MAX_REGIONS );
            _Analysis_assume_( uRegion < BC6H_MAX_REGIONS );

            // Unquantize endpoints and interpolate
            int r1 = Unquantize(aEndPts[uRegion].A.r, info.RGBAPrec[0][0].r, bSigned);
            int g1 = Unquantize(aEndPts[uRegion].A.g, info.RGBAPrec[0][0].g, bSigned);
            int b1 = Unquantize(aEndPts[uRegion].A.b, info.RGBAPrec[0][0].b, bSigned);
            int r2 = Unquantize(aEndPts[uRegion].B.r, info.RGBAPrec[0][0].r, bSigned);
            int g2 = Unquantize(aEndPts[uRegion].B.g, info.RGBAPrec[0][0].g, bSigned);
            int b2 = Unquantize(aEndPts[uRegion].B.b, info.RGBAPrec[0][0].b, bSigned);
            const int* aWeights = info.uPartitions > 0 ? g_aWeights3 : g_aWeights4;
            INTColor fc;
            fc.r = FinishUnquantize((r1 * (BC67_WEIGHT_MAX - aWeights[uIndex]) + r2 * aWeights[uIndex] + BC67_WEIGHT_ROUND) >> BC67_WEIGHT_SHIFT, bSigned);
            fc.g = FinishUnquantize((g1 * (BC67_WEIGHT_MAX - aWeights[uIndex]) + g2 * aWeights[uIndex] + BC67_WEIGHT_ROUND) >> BC67_WEIGHT_SHIFT, bSigned);
            fc.b = FinishUnquantize((b1 * (BC67_WEIGHT_MAX - aWeights[uIndex]) + b2 * aWeights[uIndex] + BC67_WEIGHT_ROUND) >> BC67_WEIGHT_SHIFT, bSigned);

            HALF rgb[3];
            fc.ToF16(rgb, bSigned);

            pOut[i].r = XMConvertHalfToFloat( rgb[0] );
            pOut[i].g = XMConvertHalfToFloat( rgb[1] );
            pOut[i].b = XMConvertHalfToFloat( rgb[2] );
            pOut[i].a = 1.0f;
        }
    }
    else
    {
#ifdef _DEBUG
        const char* warnstr = "BC6H: Invalid mode encountered during decoding\n";
        switch( uMode )
        {
        case 0x13:  warnstr = "BC6H: Reserved mode 10011 encountered during decoding\n"; break;
        case 0x17:  warnstr = "BC6H: Reserved mode 10111 encountered during decoding\n"; break;
        case 0x1B:  warnstr = "BC6H: Reserved mode 11011 encountered during decoding\n"; break;
        case 0x1F:  warnstr = "BC6H: Reserved mode 11111 encountered during decoding\n"; break;
        }
        OutputDebugStringA( warnstr );
#endif
        // Per the BC6H format spec, we must return opaque black
        for(size_t i = 0; i < NUM_PIXELS_PER_BLOCK; ++i)
        {
            pOut[i] = HDRColorA(0.0f, 0.0f, 0.0f, 1.0f);
        }
    }
}

_Use_decl_annotations_
void D3DX_BC6H::Encode(bool bSigned, const HDRColorA* const pIn)
{
    assert( pIn );

    EncodeParams EP(pIn, bSigned);

    for(EP.uMode = 0; EP.uMode < ARRAYSIZE(ms_aInfo) && EP.fBestErr > 0; ++EP.uMode)
    {
        const uint8_t uShapes = ms_aInfo[EP.uMode].uPartitions ? 32 : 1;
        // Number of rough cases to look at. reasonable values of this are 1, uShapes/4, and uShapes
        // uShapes/4 gets nearly all the cases; you can increase that a bit (say by 3 or 4) if you really want to squeeze the last bit out
        const size_t uItems = std::max<size_t>(1, uShapes >> 2);
        float afRoughMSE[BC6H_MAX_SHAPES];
        uint8_t auShape[BC6H_MAX_SHAPES];

        // pick the best uItems shapes and refine these.
        for(EP.uShape = 0; EP.uShape < uShapes; ++EP.uShape)
        {
            size_t uShape = EP.uShape;
            afRoughMSE[uShape] = RoughMSE(&EP);
            auShape[uShape] = static_cast<uint8_t>(uShape);
        }

        // Bubble up the first uItems items
        for(register size_t i = 0; i < uItems; i++)
        {
            for(register size_t j = i + 1; j < uShapes; j++)
            {
                if(afRoughMSE[i] > afRoughMSE[j])
                {
                    std::swap(afRoughMSE[i], afRoughMSE[j]);
                    std::swap(auShape[i], auShape[j]);
                }
            }
        }

        for(size_t i = 0; i < uItems && EP.fBestErr > 0; i++)
        {
            EP.uShape = auShape[i];
            Refine(&EP);
        }
    }
}


//-------------------------------------------------------------------------------------
_Use_decl_annotations_
int D3DX_BC6H::Quantize(int iValue, int prec, bool bSigned)
{
    assert(prec > 1);	// didn't bother to make it work for 1
    int q, s = 0;
    if(bSigned)
    {
        assert(iValue >= -F16MAX && iValue <= F16MAX);
        if(iValue < 0)
        {
            s = 1;
            iValue = -iValue;
        }
        q = (prec >= 16) ? iValue : (iValue << (prec-1)) / (F16MAX+1);
        if(s)
            q = -q;
        assert (q > -(1 << (prec-1)) && q < (1 << (prec-1)));
    }
    else
    {
        assert(iValue >= 0 && iValue <= F16MAX);
        q = (prec >= 15) ? iValue : (iValue << prec) / (F16MAX+1);
        assert (q >= 0 && q < (1 << prec));
    }

    return q;
}

_Use_decl_annotations_
int D3DX_BC6H::Unquantize(int comp, uint8_t uBitsPerComp, bool bSigned)
{
    int unq = 0, s = 0;
    if(bSigned)
    {
        if(uBitsPerComp >= 16)
        {
            unq = comp;
        }
        else
        {
            if(comp < 0)
            {
                s = 1;
                comp = -comp;
            }

            if(comp == 0) unq = 0;
            else if(comp >= ((1 << (uBitsPerComp - 1)) - 1)) unq = 0x7FFF;
            else unq = ((comp << 15) + 0x4000) >> (uBitsPerComp-1);

            if(s) unq = -unq;
        }
    }
    else
    {
        if(uBitsPerComp >= 15) unq = comp;
        else if(comp == 0) unq = 0;
        else if(comp == ((1 << uBitsPerComp) - 1)) unq = 0xFFFF;
        else unq = ((comp << 16) + 0x8000) >> uBitsPerComp;
    }

    return unq;
}

_Use_decl_annotations_
int D3DX_BC6H::FinishUnquantize(int comp, bool bSigned)
{
    if(bSigned)
    {
        return (comp < 0) ? -(((-comp) * 31) >> 5) : (comp * 31) >> 5;  // scale the magnitude by 31/32
    }
    else
    {
        return (comp * 31) >> 6;                                        // scale the magnitude by 31/64
    }
}


//-------------------------------------------------------------------------------------
_Use_decl_annotations_
bool D3DX_BC6H::EndPointsFit(const EncodeParams* pEP, const INTEndPntPair aEndPts[])
{
    assert( pEP );
    const bool bTransformed = ms_aInfo[pEP->uMode].bTransformed;
    const bool bIsSigned = pEP->bSigned;
    const LDRColorA& Prec0 = ms_aInfo[pEP->uMode].RGBAPrec[0][0];
    const LDRColorA& Prec1 = ms_aInfo[pEP->uMode].RGBAPrec[0][1];
    const LDRColorA& Prec2 = ms_aInfo[pEP->uMode].RGBAPrec[1][0];
    const LDRColorA& Prec3 = ms_aInfo[pEP->uMode].RGBAPrec[1][1];

    INTColor aBits[4];
    aBits[0].r = NBits(aEndPts[0].A.r, bIsSigned);
    aBits[0].g = NBits(aEndPts[0].A.g, bIsSigned);
    aBits[0].b = NBits(aEndPts[0].A.b, bIsSigned);
    aBits[1].r = NBits(aEndPts[0].B.r, bTransformed || bIsSigned);
    aBits[1].g = NBits(aEndPts[0].B.g, bTransformed || bIsSigned);
    aBits[1].b = NBits(aEndPts[0].B.b, bTransformed || bIsSigned);
    if(aBits[0].r > Prec0.r || aBits[1].r > Prec1.r ||
       aBits[0].g > Prec0.g || aBits[1].g > Prec1.g ||
       aBits[0].b > Prec0.b || aBits[1].b > Prec1.b)
        return false;

    if(ms_aInfo[pEP->uMode].uPartitions)
    {
        aBits[2].r = NBits(aEndPts[1].A.r, bTransformed || bIsSigned);
        aBits[2].g = NBits(aEndPts[1].A.g, bTransformed || bIsSigned);
        aBits[2].b = NBits(aEndPts[1].A.b, bTransformed || bIsSigned);
        aBits[3].r = NBits(aEndPts[1].B.r, bTransformed || bIsSigned);
        aBits[3].g = NBits(aEndPts[1].B.g, bTransformed || bIsSigned);
        aBits[3].b = NBits(aEndPts[1].B.b, bTransformed || bIsSigned);

        if(aBits[2].r > Prec2.r || aBits[3].r > Prec3.r ||
           aBits[2].g > Prec2.g || aBits[3].g > Prec3.g ||
           aBits[2].b > Prec2.b || aBits[3].b > Prec3.b)
            return false;
    }

    return true;
}

_Use_decl_annotations_
void D3DX_BC6H::GeneratePaletteQuantized(const EncodeParams* pEP, const INTEndPntPair& endPts, INTColor aPalette[]) const
{
    assert( pEP );
    const size_t uIndexPrec = ms_aInfo[pEP->uMode].uIndexPrec;
    const size_t uNumIndices = size_t(1) << uIndexPrec;
    assert( uNumIndices > 0 );
    _Analysis_assume_( uNumIndices > 0 );
    const LDRColorA& Prec = ms_aInfo[pEP->uMode].RGBAPrec[0][0];

    // scale endpoints
    INTEndPntPair unqEndPts;
    unqEndPts.A.r = Unquantize(endPts.A.r, Prec.r, pEP->bSigned); 
    unqEndPts.A.g = Unquantize(endPts.A.g, Prec.g, pEP->bSigned); 
    unqEndPts.A.b = Unquantize(endPts.A.b, Prec.b, pEP->bSigned); 
    unqEndPts.B.r = Unquantize(endPts.B.r, Prec.r, pEP->bSigned);
    unqEndPts.B.g = Unquantize(endPts.B.g, Prec.g, pEP->bSigned);
    unqEndPts.B.b = Unquantize(endPts.B.b, Prec.b, pEP->bSigned);

    // interpolate
    const int* aWeights = nullptr;
    switch(uIndexPrec)
    {
    case 3: aWeights = g_aWeights3; assert(uNumIndices <= 8); _Analysis_assume_(uNumIndices <= 8); break;
    case 4: aWeights = g_aWeights4; assert(uNumIndices <= 16); _Analysis_assume_(uNumIndices <= 16); break;
    default:
        assert(false);
        for(size_t i = 0; i < uNumIndices; ++i)
        {
            #pragma prefast(suppress:22102 22103, "writing blocks in two halves confuses tool")
            aPalette[i] = INTColor(0,0,0);
        }
        return;
    }

    for (size_t i = 0; i < uNumIndices; ++i)
    {
        aPalette[i].r = FinishUnquantize(
            (unqEndPts.A.r * (BC67_WEIGHT_MAX - aWeights[i]) + unqEndPts.B.r * aWeights[i] + BC67_WEIGHT_ROUND) >> BC67_WEIGHT_SHIFT,
            pEP->bSigned);
        aPalette[i].g = FinishUnquantize(
            (unqEndPts.A.g * (BC67_WEIGHT_MAX - aWeights[i]) + unqEndPts.B.g * aWeights[i] + BC67_WEIGHT_ROUND) >> BC67_WEIGHT_SHIFT,
            pEP->bSigned);
        aPalette[i].b = FinishUnquantize(
            (unqEndPts.A.b * (BC67_WEIGHT_MAX - aWeights[i]) + unqEndPts.B.b * aWeights[i] + BC67_WEIGHT_ROUND) >> BC67_WEIGHT_SHIFT,
            pEP->bSigned);
    }
}

// given a collection of colors and quantized endpoints, generate a palette, choose best entries, and return a single toterr
_Use_decl_annotations_
float D3DX_BC6H::MapColorsQuantized(const EncodeParams* pEP, const INTColor aColors[], size_t np, const INTEndPntPair &endPts) const
{
    assert( pEP );

    const uint8_t uIndexPrec = ms_aInfo[pEP->uMode].uIndexPrec;
    const uint8_t uNumIndices = 1 << uIndexPrec;
    INTColor aPalette[BC6H_MAX_INDICES];
    GeneratePaletteQuantized(pEP, endPts, aPalette);

    float fTotErr = 0;
    for(size_t i = 0; i < np; ++i)
    {
        XMVECTOR vcolors = XMLoadSInt4( reinterpret_cast<const XMINT4*>( &aColors[i] ) );

        // Compute ErrorMetricRGB
        XMVECTOR tpal = XMLoadSInt4( reinterpret_cast<const XMINT4*>( &aPalette[0] ) );
        tpal = XMVectorSubtract( vcolors, tpal );
        float fBestErr = XMVectorGetX( XMVector3Dot( tpal, tpal ) );

        for(int j = 1; j < uNumIndices && fBestErr > 0; ++j)
        {
            // Compute ErrorMetricRGB
            tpal = XMLoadSInt4( reinterpret_cast<const XMINT4*>( &aPalette[j] ) );
            tpal = XMVectorSubtract( vcolors, tpal );
            float fErr = XMVectorGetX( XMVector3Dot( tpal, tpal ) );
            if(fErr > fBestErr) break;     // error increased, so we're done searching
            if(fErr < fBestErr) fBestErr = fErr;
        }
        fTotErr += fBestErr;
    }
    return fTotErr;
}

_Use_decl_annotations_
float D3DX_BC6H::PerturbOne(const EncodeParams* pEP, const INTColor aColors[], size_t np, uint8_t ch,
                            const INTEndPntPair& oldEndPts, INTEndPntPair& newEndPts, float fOldErr, int do_b) const
{
    assert( pEP );
    uint8_t uPrec;
    switch(ch)
    {
    case 0: uPrec = ms_aInfo[pEP->uMode].RGBAPrec[0][0].r; break;
    case 1: uPrec = ms_aInfo[pEP->uMode].RGBAPrec[0][0].g; break;
    case 2: uPrec = ms_aInfo[pEP->uMode].RGBAPrec[0][0].b; break;
    default: assert(false); newEndPts = oldEndPts; return FLT_MAX;
    }
    INTEndPntPair tmpEndPts;
    float fMinErr = fOldErr;
    int beststep = 0;

    // copy real endpoints so we can perturb them
    tmpEndPts = newEndPts = oldEndPts;

    // do a logarithmic search for the best error for this endpoint (which)
    for(int step = 1 << (uPrec-1); step; step >>= 1)
    {
        bool bImproved = false;
        for(int sign = -1; sign <= 1; sign += 2)
        {
            if(do_b == 0)
            {
                tmpEndPts.A[ch] = newEndPts.A[ch] + sign * step;
                if(tmpEndPts.A[ch] < 0 || tmpEndPts.A[ch] >= (1 << uPrec))
                    continue;
            }
            else
            {
                tmpEndPts.B[ch] = newEndPts.B[ch] + sign * step;
                if(tmpEndPts.B[ch] < 0 || tmpEndPts.B[ch] >= (1 << uPrec))
                    continue;
            }

            float fErr = MapColorsQuantized(pEP, aColors, np, tmpEndPts);

            if(fErr < fMinErr)
            {
                bImproved = true;
                fMinErr = fErr;
                beststep = sign * step;
            }
        }
        // if this was an improvement, move the endpoint and continue search from there
        if(bImproved)
        {
            if(do_b == 0)
                newEndPts.A[ch] += beststep;
            else
                newEndPts.B[ch] += beststep;
        }
    }
    return fMinErr;
}

_Use_decl_annotations_
void D3DX_BC6H::OptimizeOne(const EncodeParams* pEP, const INTColor aColors[], size_t np, float aOrgErr,
                            const INTEndPntPair &aOrgEndPts, INTEndPntPair &aOptEndPts) const
{
    assert( pEP );
    float aOptErr = aOrgErr;
    aOptEndPts.A = aOrgEndPts.A;
    aOptEndPts.B = aOrgEndPts.B;

    INTEndPntPair new_a, new_b;
    INTEndPntPair newEndPts;
    int do_b;

    // now optimize each channel separately
    for(uint8_t ch = 0; ch < 3; ++ch)
    {
        // figure out which endpoint when perturbed gives the most improvement and start there
        // if we just alternate, we can easily end up in a local minima
        float fErr0 = PerturbOne(pEP, aColors, np, ch, aOptEndPts, new_a, aOptErr, 0);	// perturb endpt A
        float fErr1 = PerturbOne(pEP, aColors, np, ch, aOptEndPts, new_b, aOptErr, 1);	// perturb endpt B

        if(fErr0 < fErr1)
        {
            if(fErr0 >= aOptErr) continue;
            aOptEndPts.A[ch] = new_a.A[ch];
            aOptErr = fErr0;
            do_b = 1;		// do B next
        }
        else
        {
            if(fErr1 >= aOptErr) continue;
            aOptEndPts.B[ch] = new_b.B[ch];
            aOptErr = fErr1;
            do_b = 0;		// do A next
        }

        // now alternate endpoints and keep trying until there is no improvement
        for(;;)
        {
            float fErr = PerturbOne(pEP, aColors, np, ch, aOptEndPts, newEndPts, aOptErr, do_b);
            if(fErr >= aOptErr)
                break;
            if(do_b == 0)
                aOptEndPts.A[ch] = newEndPts.A[ch];
            else
                aOptEndPts.B[ch] = newEndPts.B[ch];
            aOptErr = fErr;
            do_b = 1 - do_b;	// now move the other endpoint
        }
    }
}

_Use_decl_annotations_
void D3DX_BC6H::OptimizeEndPoints(const EncodeParams* pEP, const float aOrgErr[], const INTEndPntPair aOrgEndPts[], INTEndPntPair aOptEndPts[]) const
{
    assert( pEP );
    const uint8_t uPartitions = ms_aInfo[pEP->uMode].uPartitions;
    assert( uPartitions < BC6H_MAX_REGIONS );
    _Analysis_assume_( uPartitions < BC6H_MAX_REGIONS );
    INTColor aPixels[NUM_PIXELS_PER_BLOCK];
    
    for(size_t p = 0; p <= uPartitions; ++p)
    {
        // collect the pixels in the region
        size_t np = 0;
        for(size_t i = 0; i < NUM_PIXELS_PER_BLOCK; ++i)
        {
            if(g_aPartitionTable[p][pEP->uShape][i] == p)
            {
                aPixels[np++] = pEP->aIPixels[i];
            }
        }

        OptimizeOne(pEP, aPixels, np, aOrgErr[p], aOrgEndPts[p], aOptEndPts[p]);
    }
}

// Swap endpoints as needed to ensure that the indices at fix up have a 0 high-order bit
_Use_decl_annotations_
void D3DX_BC6H::SwapIndices(const EncodeParams* pEP, INTEndPntPair aEndPts[], size_t aIndices[])
{
    assert( pEP );
    const size_t uPartitions = ms_aInfo[pEP->uMode].uPartitions;
    const size_t uNumIndices = size_t(1) << ms_aInfo[pEP->uMode].uIndexPrec;
    const size_t uHighIndexBit = uNumIndices >> 1;

    assert( uPartitions < BC6H_MAX_REGIONS && pEP->uShape < BC6H_MAX_SHAPES );
    _Analysis_assume_( uPartitions < BC6H_MAX_REGIONS && pEP->uShape < BC6H_MAX_SHAPES );

    for(size_t p = 0; p <= uPartitions; ++p)
    {
        size_t i = g_aFixUp[uPartitions][pEP->uShape][p];
        assert(g_aPartitionTable[uPartitions][pEP->uShape][i] == p);
        if(aIndices[i] & uHighIndexBit)
        {
            // high bit is set, swap the aEndPts and indices for this region
            std::swap(aEndPts[p].A, aEndPts[p].B);

            for(size_t j = 0; j < NUM_PIXELS_PER_BLOCK; ++j)
                if(g_aPartitionTable[uPartitions][pEP->uShape][j] == p)
                    aIndices[j] = uNumIndices - 1 - aIndices[j];
        }
    }
}

// assign indices given a tile, shape, and quantized endpoints, return toterr for each region
_Use_decl_annotations_
void D3DX_BC6H::AssignIndices(const EncodeParams* pEP, const INTEndPntPair aEndPts[], size_t aIndices[], float aTotErr[]) const
{
    assert( pEP );
    const uint8_t uPartitions = ms_aInfo[pEP->uMode].uPartitions;
    const uint8_t uNumIndices = 1 << ms_aInfo[pEP->uMode].uIndexPrec;

    assert( uPartitions < BC6H_MAX_REGIONS && pEP->uShape < BC6H_MAX_SHAPES );
    _Analysis_assume_( uPartitions < BC6H_MAX_REGIONS && pEP->uShape < BC6H_MAX_SHAPES );

    // build list of possibles
    INTColor aPalette[BC6H_MAX_REGIONS][BC6H_MAX_INDICES];

    for(size_t p = 0; p <= uPartitions; ++p)
    {
        GeneratePaletteQuantized(pEP, aEndPts[p], aPalette[p]);
        aTotErr[p] = 0;
    }

    for(size_t i = 0; i < NUM_PIXELS_PER_BLOCK; ++i)
    {
        const uint8_t uRegion = g_aPartitionTable[uPartitions][pEP->uShape][i];
        assert( uRegion < BC6H_MAX_REGIONS );
        _Analysis_assume_( uRegion < BC6H_MAX_REGIONS );
        float fBestErr = Norm(pEP->aIPixels[i], aPalette[uRegion][0]);
        aIndices[i] = 0;

        for(uint8_t j = 1; j < uNumIndices && fBestErr > 0; ++j)
        {
            float fErr = Norm(pEP->aIPixels[i], aPalette[uRegion][j]);
            if(fErr > fBestErr) break;	// error increased, so we're done searching
            if(fErr < fBestErr)
            {
                fBestErr = fErr;
                aIndices[i] = j;
            }
        }
        aTotErr[uRegion] += fBestErr;
    }
}

_Use_decl_annotations_
void D3DX_BC6H::QuantizeEndPts(const EncodeParams* pEP, INTEndPntPair* aQntEndPts) const
{
    assert( pEP && aQntEndPts );
    const INTEndPntPair* aUnqEndPts = pEP->aUnqEndPts[pEP->uShape];
    const LDRColorA& Prec = ms_aInfo[pEP->uMode].RGBAPrec[0][0];
    const uint8_t uPartitions = ms_aInfo[pEP->uMode].uPartitions;
    assert( uPartitions < BC6H_MAX_REGIONS );
    _Analysis_assume_( uPartitions < BC6H_MAX_REGIONS );

    for(size_t p = 0; p <= uPartitions; ++p)
    {
        aQntEndPts[p].A.r = Quantize(aUnqEndPts[p].A.r, Prec.r, pEP->bSigned);
        aQntEndPts[p].A.g = Quantize(aUnqEndPts[p].A.g, Prec.g, pEP->bSigned);
        aQntEndPts[p].A.b = Quantize(aUnqEndPts[p].A.b, Prec.b, pEP->bSigned);
        aQntEndPts[p].B.r = Quantize(aUnqEndPts[p].B.r, Prec.r, pEP->bSigned);
        aQntEndPts[p].B.g = Quantize(aUnqEndPts[p].B.g, Prec.g, pEP->bSigned);
        aQntEndPts[p].B.b = Quantize(aUnqEndPts[p].B.b, Prec.b, pEP->bSigned);
    }
}

_Use_decl_annotations_
void D3DX_BC6H::EmitBlock(const EncodeParams* pEP, const INTEndPntPair aEndPts[], const size_t aIndices[])
{
    assert( pEP );
    const uint8_t uRealMode = ms_aInfo[pEP->uMode].uMode;
    const uint8_t uPartitions = ms_aInfo[pEP->uMode].uPartitions;
    const uint8_t uIndexPrec = ms_aInfo[pEP->uMode].uIndexPrec;
    const size_t uHeaderBits = uPartitions > 0 ? 82 : 65;
    const ModeDescriptor* desc = ms_aDesc[pEP->uMode];
    size_t uStartBit = 0;

    while(uStartBit < uHeaderBits)
    {
        switch(desc[uStartBit].m_eField)
        {
        case M:  SetBit(uStartBit, uint8_t(uRealMode >> desc[uStartBit].m_uBit) & 0x01); break;
        case D:  SetBit(uStartBit, uint8_t(pEP->uShape >> desc[uStartBit].m_uBit) & 0x01); break;
        case RW: SetBit(uStartBit, uint8_t(aEndPts[0].A.r >> desc[uStartBit].m_uBit) & 0x01); break;
        case RX: SetBit(uStartBit, uint8_t(aEndPts[0].B.r >> desc[uStartBit].m_uBit) & 0x01); break;
        case RY: SetBit(uStartBit, uint8_t(aEndPts[1].A.r >> desc[uStartBit].m_uBit) & 0x01); break;
        case RZ: SetBit(uStartBit, uint8_t(aEndPts[1].B.r >> desc[uStartBit].m_uBit) & 0x01); break;
        case GW: SetBit(uStartBit, uint8_t(aEndPts[0].A.g >> desc[uStartBit].m_uBit) & 0x01); break;
        case GX: SetBit(uStartBit, uint8_t(aEndPts[0].B.g >> desc[uStartBit].m_uBit) & 0x01); break;
        case GY: SetBit(uStartBit, uint8_t(aEndPts[1].A.g >> desc[uStartBit].m_uBit) & 0x01); break;
        case GZ: SetBit(uStartBit, uint8_t(aEndPts[1].B.g >> desc[uStartBit].m_uBit) & 0x01); break;
        case BW: SetBit(uStartBit, uint8_t(aEndPts[0].A.b >> desc[uStartBit].m_uBit) & 0x01); break;
        case BX: SetBit(uStartBit, uint8_t(aEndPts[0].B.b >> desc[uStartBit].m_uBit) & 0x01); break;
        case BY: SetBit(uStartBit, uint8_t(aEndPts[1].A.b >> desc[uStartBit].m_uBit) & 0x01); break;
        case BZ: SetBit(uStartBit, uint8_t(aEndPts[1].B.b >> desc[uStartBit].m_uBit) & 0x01); break;
        default: assert(false);
        }
    }

    for(size_t i = 0; i < NUM_PIXELS_PER_BLOCK; ++i)
    {
        if(IsFixUpOffset(ms_aInfo[pEP->uMode].uPartitions, pEP->uShape, i))
            SetBits(uStartBit, uIndexPrec - 1, static_cast<uint8_t>( aIndices[i] ));
        else
            SetBits(uStartBit, uIndexPrec, static_cast<uint8_t>( aIndices[i] ));
    }
    assert(uStartBit == 128);
}

_Use_decl_annotations_
void D3DX_BC6H::Refine(EncodeParams* pEP)
{
    assert( pEP );
    const uint8_t uPartitions = ms_aInfo[pEP->uMode].uPartitions;
    assert( uPartitions < BC6H_MAX_REGIONS );
    _Analysis_assume_( uPartitions < BC6H_MAX_REGIONS );

    const bool bTransformed = ms_aInfo[pEP->uMode].bTransformed;
    float aOrgErr[BC6H_MAX_REGIONS], aOptErr[BC6H_MAX_REGIONS];
    INTEndPntPair aOrgEndPts[BC6H_MAX_REGIONS], aOptEndPts[BC6H_MAX_REGIONS];
    size_t aOrgIdx[NUM_PIXELS_PER_BLOCK], aOptIdx[NUM_PIXELS_PER_BLOCK];

    QuantizeEndPts(pEP, aOrgEndPts);
    AssignIndices(pEP, aOrgEndPts, aOrgIdx, aOrgErr);
    SwapIndices(pEP, aOrgEndPts, aOrgIdx);

    if(bTransformed) TransformForward(aOrgEndPts);
    if(EndPointsFit(pEP, aOrgEndPts))
    {
        if(bTransformed) TransformInverse(aOrgEndPts, ms_aInfo[pEP->uMode].RGBAPrec[0][0], pEP->bSigned);
        OptimizeEndPoints(pEP, aOrgErr, aOrgEndPts, aOptEndPts);
        AssignIndices(pEP, aOptEndPts, aOptIdx, aOptErr);
        SwapIndices(pEP, aOptEndPts, aOptIdx);

        float fOrgTotErr = 0.0f, fOptTotErr = 0.0f;
        for(size_t p = 0; p <= uPartitions; ++p)
        {
            fOrgTotErr += aOrgErr[p];
            fOptTotErr += aOptErr[p];
        }

        if(bTransformed) TransformForward(aOptEndPts);
        if(EndPointsFit(pEP, aOptEndPts) && fOptTotErr < fOrgTotErr && fOptTotErr < pEP->fBestErr)
        {
            pEP->fBestErr = fOptTotErr;
            EmitBlock(pEP, aOptEndPts, aOptIdx);
        }
        else if(fOrgTotErr < pEP->fBestErr)
        {
            // either it stopped fitting when we optimized it, or there was no improvement
            // so go back to the unoptimized endpoints which we know will fit
            if(bTransformed) TransformForward(aOrgEndPts);
            pEP->fBestErr = fOrgTotErr;
            EmitBlock(pEP, aOrgEndPts, aOrgIdx);
        }
    }
}

_Use_decl_annotations_
void D3DX_BC6H::GeneratePaletteUnquantized(const EncodeParams* pEP, size_t uRegion, INTColor aPalette[])
{
    assert( pEP );
    assert( uRegion < BC6H_MAX_REGIONS && pEP->uShape < BC6H_MAX_SHAPES );
    _Analysis_assume_( uRegion < BC6H_MAX_REGIONS && pEP->uShape < BC6H_MAX_SHAPES );
    const INTEndPntPair& endPts = pEP->aUnqEndPts[pEP->uShape][uRegion];
    const uint8_t uIndexPrec = ms_aInfo[pEP->uMode].uIndexPrec;
    const uint8_t uNumIndices = 1 << uIndexPrec;
    assert(uNumIndices > 0);
    _Analysis_assume_(uNumIndices > 0);

    const int* aWeights = nullptr;
    switch(uIndexPrec)
    {
    case 3: aWeights = g_aWeights3; assert(uNumIndices <= 8); _Analysis_assume_(uNumIndices <= 8); break;
    case 4: aWeights = g_aWeights4; assert(uNumIndices <= 16); _Analysis_assume_(uNumIndices <= 16); break;
    default:
        assert(false);
        for(size_t i = 0; i < uNumIndices; ++i)
        {
            #pragma prefast(suppress:22102 22103, "writing blocks in two halves confuses tool")
            aPalette[i] = INTColor(0,0,0);
        }
        return;
    }

    for(register size_t i = 0; i < uNumIndices; ++i)
    {
        aPalette[i].r = (endPts.A.r * (BC67_WEIGHT_MAX - aWeights[i]) + endPts.B.r * aWeights[i] + BC67_WEIGHT_ROUND) >> BC67_WEIGHT_SHIFT;
        aPalette[i].g = (endPts.A.g * (BC67_WEIGHT_MAX - aWeights[i]) + endPts.B.g * aWeights[i] + BC67_WEIGHT_ROUND) >> BC67_WEIGHT_SHIFT;
        aPalette[i].b = (endPts.A.b * (BC67_WEIGHT_MAX - aWeights[i]) + endPts.B.b * aWeights[i] + BC67_WEIGHT_ROUND) >> BC67_WEIGHT_SHIFT;
    }
}

_Use_decl_annotations_
float D3DX_BC6H::MapColors(const EncodeParams* pEP, size_t uRegion, size_t np, const size_t* auIndex) const
{
    assert( pEP );
    const uint8_t uIndexPrec = ms_aInfo[pEP->uMode].uIndexPrec;
    const uint8_t uNumIndices = 1 << uIndexPrec;
    INTColor aPalette[BC6H_MAX_INDICES];
    GeneratePaletteUnquantized(pEP, uRegion, aPalette);

    float fTotalErr = 0.0f;
    for(size_t i = 0; i < np; ++i)
    {
        float fBestErr = Norm(pEP->aIPixels[auIndex[i]], aPalette[0]);
        for(uint8_t j = 1; j < uNumIndices && fBestErr > 0.0f; ++j)
        {
            float fErr = Norm(pEP->aIPixels[auIndex[i]], aPalette[j]);
            if(fErr > fBestErr) break;      // error increased, so we're done searching
            if(fErr < fBestErr) fBestErr = fErr;
        }
        fTotalErr += fBestErr;
    }

    return fTotalErr;
}

_Use_decl_annotations_
float D3DX_BC6H::RoughMSE(EncodeParams* pEP) const
{
    assert( pEP );
    assert( pEP->uShape < BC6H_MAX_SHAPES);
    _Analysis_assume_( pEP->uShape < BC6H_MAX_SHAPES);

    INTEndPntPair* aEndPts = pEP->aUnqEndPts[pEP->uShape];

    const uint8_t uPartitions = ms_aInfo[pEP->uMode].uPartitions;
    assert( uPartitions < BC6H_MAX_REGIONS );
    _Analysis_assume_( uPartitions < BC6H_MAX_REGIONS );

    size_t auPixIdx[NUM_PIXELS_PER_BLOCK];

    float fError = 0.0f;
    for(size_t p = 0; p <= uPartitions; ++p)
    {
        size_t np = 0;
        for(register size_t i = 0; i < NUM_PIXELS_PER_BLOCK; ++i)
        {
            if(g_aPartitionTable[uPartitions][pEP->uShape][i] == p)
            {
                auPixIdx[np++] = i;
            }
        }

        // handle simple cases
        assert(np > 0);
        if(np == 1)
        {
            aEndPts[p].A = pEP->aIPixels[auPixIdx[0]];
            aEndPts[p].B = pEP->aIPixels[auPixIdx[0]];
            continue;
        }
        else if(np == 2)
        {
            aEndPts[p].A = pEP->aIPixels[auPixIdx[0]];
            aEndPts[p].B = pEP->aIPixels[auPixIdx[1]];
            continue;
        }

        HDRColorA epA, epB;
        OptimizeRGB(pEP->aHDRPixels, &epA, &epB, 4, np, auPixIdx);
        aEndPts[p].A.Set(epA, pEP->bSigned);
        aEndPts[p].B.Set(epB, pEP->bSigned);
        if(pEP->bSigned)
        {
            aEndPts[p].A.Clamp(-F16MAX, F16MAX);
            aEndPts[p].B.Clamp(-F16MAX, F16MAX);
        }
        else
        {
            aEndPts[p].A.Clamp(0, F16MAX);
            aEndPts[p].B.Clamp(0, F16MAX);
        }

        fError += MapColors(pEP, p, np, auPixIdx);
    }

    return fError;
}



//-------------------------------------------------------------------------------------
// BC7 Compression
//-------------------------------------------------------------------------------------
_Use_decl_annotations_
void D3DX_BC7::Decode(HDRColorA* pOut) const
{
    assert( pOut );

    size_t uFirst = 0;
    while(uFirst < 128 && !GetBit(uFirst)) {}
    uint8_t uMode = uint8_t(uFirst - 1);

    if(uMode < 8)
    {
        const uint8_t uPartitions = ms_aInfo[uMode].uPartitions;
        assert( uPartitions < BC7_MAX_REGIONS );
        _Analysis_assume_( uPartitions < BC7_MAX_REGIONS );

        const uint8_t uNumEndPts = (uPartitions + 1) << 1;
        const uint8_t uIndexPrec = ms_aInfo[uMode].uIndexPrec;
        const uint8_t uIndexPrec2 = ms_aInfo[uMode].uIndexPrec2;
        register size_t i;
        size_t uStartBit = uMode + 1;
        uint8_t P[6];
        uint8_t uShape = GetBits(uStartBit, ms_aInfo[uMode].uPartitionBits);
        assert( uShape < BC7_MAX_SHAPES );
        _Analysis_assume_( uShape < BC7_MAX_SHAPES );

        uint8_t uRotation = GetBits(uStartBit, ms_aInfo[uMode].uRotationBits);
        assert( uRotation < 4 );

        uint8_t uIndexMode = GetBits(uStartBit, ms_aInfo[uMode].uIndexModeBits);
        assert( uIndexMode < 2 );

        LDRColorA c[BC7_MAX_REGIONS << 1];
        const LDRColorA RGBAPrec = ms_aInfo[uMode].RGBAPrec;
        const LDRColorA RGBAPrecWithP = ms_aInfo[uMode].RGBAPrecWithP;

        assert( uNumEndPts <= (BC7_MAX_REGIONS << 1) );

        // Red channel
        for(i = 0; i < uNumEndPts; i++)
        {
            if ( uStartBit + RGBAPrec.r > 128 )
            {
#ifdef _DEBUG
                OutputDebugStringA( "BC7: Invalid block encountered during decoding\n" );
#endif
                FillWithErrorColors( pOut );
                return;
            }

            c[i].r = GetBits(uStartBit, RGBAPrec.r);
        }

        // Green channel
        for(i = 0; i < uNumEndPts; i++)
        {
            if ( uStartBit + RGBAPrec.g > 128 )
            {
#ifdef _DEBUG
                OutputDebugStringA( "BC7: Invalid block encountered during decoding\n" );
#endif
                FillWithErrorColors( pOut );
                return;
            }

             c[i].g = GetBits(uStartBit, RGBAPrec.g);
        }

        // Blue channel
        for(i = 0; i < uNumEndPts; i++)
        {
            if ( uStartBit + RGBAPrec.b > 128 )
            {
#ifdef _DEBUG
                OutputDebugStringA( "BC7: Invalid block encountered during decoding\n" );
#endif
                FillWithErrorColors( pOut );
                return;
            }

            c[i].b = GetBits(uStartBit, RGBAPrec.b);
        }

        // Alpha channel
        for(i = 0; i < uNumEndPts; i++)
        {
            if ( uStartBit + RGBAPrec.a > 128 )
            {
#ifdef _DEBUG
                OutputDebugStringA( "BC7: Invalid block encountered during decoding\n" );
#endif
                FillWithErrorColors( pOut );
                return;
            }

            c[i].a = RGBAPrec.a ? GetBits(uStartBit, RGBAPrec.a) : 255;
        }

        // P-bits
        assert( ms_aInfo[uMode].uPBits <= 6 );
        _Analysis_assume_( ms_aInfo[uMode].uPBits <= 6 );
        for(i = 0; i < ms_aInfo[uMode].uPBits; i++)
        {
            if ( uStartBit > 127 )
            {
#ifdef _DEBUG
                OutputDebugStringA( "BC7: Invalid block encountered during decoding\n" );
#endif
                FillWithErrorColors( pOut );
                return;
            }

            P[i] = GetBit(uStartBit);
        }

        if(ms_aInfo[uMode].uPBits)
        {
            for(i = 0; i < uNumEndPts; i++)
            {
                size_t pi = i * ms_aInfo[uMode].uPBits / uNumEndPts;
                for(register uint8_t ch = 0; ch < BC7_NUM_CHANNELS; ch++)
                {
                    if(RGBAPrec[ch] != RGBAPrecWithP[ch])
                    {
                        c[i][ch] = (c[i][ch] << 1) | P[pi];
                    }
                }
            }
        }

        for(i = 0; i < uNumEndPts; i++)
        {
            c[i] = Unquantize(c[i], RGBAPrecWithP);
        }

        uint8_t w1[NUM_PIXELS_PER_BLOCK], w2[NUM_PIXELS_PER_BLOCK];

        // read color indices
        for(i = 0; i < NUM_PIXELS_PER_BLOCK; i++)
        {
            size_t uNumBits = IsFixUpOffset(ms_aInfo[uMode].uPartitions, uShape, i) ? uIndexPrec - 1 : uIndexPrec;
            if ( uStartBit + uNumBits > 128 )
            {
#ifdef _DEBUG
                OutputDebugStringA( "BC7: Invalid block encountered during decoding\n" );
#endif
                FillWithErrorColors( pOut );
                return;
            }
            w1[i] = GetBits(uStartBit, uNumBits);
        }

        // read alpha indices
        if(uIndexPrec2)
        {
            for(i = 0; i < NUM_PIXELS_PER_BLOCK; i++)
            {
                size_t uNumBits = i ? uIndexPrec2 : uIndexPrec2 - 1;
                if ( uStartBit + uNumBits > 128 )
                {
#ifdef _DEBUG
                    OutputDebugStringA( "BC7: Invalid block encountered during decoding\n" );
#endif
                    FillWithErrorColors( pOut );
                    return;
                }
                w2[i] = GetBits(uStartBit, uNumBits );
            }
        }

        for(i = 0; i < NUM_PIXELS_PER_BLOCK; ++i)
        {
            uint8_t uRegion = g_aPartitionTable[uPartitions][uShape][i];
            LDRColorA outPixel;
            if(uIndexPrec2 == 0)
            {
                LDRColorA::Interpolate(c[uRegion << 1], c[(uRegion << 1) + 1], w1[i], w1[i], uIndexPrec, uIndexPrec, outPixel);
            }
            else
            {
                if(uIndexMode == 0)
                {
                    LDRColorA::Interpolate(c[uRegion << 1], c[(uRegion << 1) + 1], w1[i], w2[i], uIndexPrec, uIndexPrec2, outPixel);
                }
                else
                {
                    LDRColorA::Interpolate(c[uRegion << 1], c[(uRegion << 1) + 1], w2[i], w1[i], uIndexPrec2, uIndexPrec, outPixel);
                }
            }

            switch(uRotation)
            {
            case 1: std::swap(outPixel.r, outPixel.a); break;
            case 2: std::swap(outPixel.g, outPixel.a); break;
            case 3: std::swap(outPixel.b, outPixel.a); break;
            }

            pOut[i] = HDRColorA(outPixel);
        }
    }
    else
    {
#ifdef _DEBUG
        OutputDebugStringA( "BC7: Reserved mode 8 encountered during decoding\n" );
#endif
        // Per the BC7 format spec, we must return transparent black
        memset( pOut, 0, sizeof(HDRColorA) * NUM_PIXELS_PER_BLOCK );
    }
}

_Use_decl_annotations_
void D3DX_BC7::Encode(bool skip3subsets, const HDRColorA* const pIn)
{
    assert( pIn );

    D3DX_BC7 final = *this;
    EncodeParams EP(pIn);
    float fMSEBest = FLT_MAX;
    
    for(size_t i = 0; i < NUM_PIXELS_PER_BLOCK; ++i)
    {
        EP.aLDRPixels[i].r = uint8_t( std::max<float>( 0.0f, std::min<float>( 255.0f, pIn[i].r * 255.0f + 0.01f ) ) );
        EP.aLDRPixels[i].g = uint8_t( std::max<float>( 0.0f, std::min<float>( 255.0f, pIn[i].g * 255.0f + 0.01f ) ) );
        EP.aLDRPixels[i].b = uint8_t( std::max<float>( 0.0f, std::min<float>( 255.0f, pIn[i].b * 255.0f + 0.01f ) ) );
        EP.aLDRPixels[i].a = uint8_t( std::max<float>( 0.0f, std::min<float>( 255.0f, pIn[i].a * 255.0f + 0.01f ) ) );
    }

    for(EP.uMode = 0; EP.uMode < 8 && fMSEBest > 0; ++EP.uMode)
    {
        if ( skip3subsets && (EP.uMode == 0 || EP.uMode == 2) )
        {
            // 3 subset modes tend to be used rarely and add significant compression time
            continue;
        }

        const size_t uShapes = size_t(1) << ms_aInfo[EP.uMode].uPartitionBits;
        assert( uShapes <= BC7_MAX_SHAPES );
        _Analysis_assume_( uShapes <= BC7_MAX_SHAPES );

        const size_t uNumRots = size_t(1) << ms_aInfo[EP.uMode].uRotationBits;
        const size_t uNumIdxMode = size_t(1) << ms_aInfo[EP.uMode].uIndexModeBits;
        // Number of rough cases to look at. reasonable values of this are 1, uShapes/4, and uShapes
        // uShapes/4 gets nearly all the cases; you can increase that a bit (say by 3 or 4) if you really want to squeeze the last bit out
        const size_t uItems = std::max<size_t>(1, uShapes >> 2);
        float afRoughMSE[BC7_MAX_SHAPES];
        size_t auShape[BC7_MAX_SHAPES];

        for(size_t r = 0; r < uNumRots && fMSEBest > 0; ++r)
        {
            switch(r)
            {
            case 1: for(register size_t i = 0; i < NUM_PIXELS_PER_BLOCK; i++) std::swap(EP.aLDRPixels[i].r, EP.aLDRPixels[i].a); break;
            case 2: for(register size_t i = 0; i < NUM_PIXELS_PER_BLOCK; i++) std::swap(EP.aLDRPixels[i].g, EP.aLDRPixels[i].a); break;
            case 3: for(register size_t i = 0; i < NUM_PIXELS_PER_BLOCK; i++) std::swap(EP.aLDRPixels[i].b, EP.aLDRPixels[i].a); break;
            }

            for(size_t im = 0; im < uNumIdxMode && fMSEBest > 0; ++im)
            {
                // pick the best uItems shapes and refine these.
                for(size_t s = 0; s < uShapes; s++)
                {
                    afRoughMSE[s] = RoughMSE(&EP, s, im);
                    auShape[s] = s;
                }

                // Bubble up the first uItems items
                for(size_t i = 0; i < uItems; i++)
                {
                    for(size_t j = i + 1; j < uShapes; j++)
                    {
                        if(afRoughMSE[i] > afRoughMSE[j])
                        {
                            std::swap(afRoughMSE[i], afRoughMSE[j]);
                            std::swap(auShape[i], auShape[j]);
                        }
                    }
                }

                for(size_t i = 0; i < uItems && fMSEBest > 0; i++)
                {
                    float fMSE = Refine(&EP, auShape[i], r, im);
                    if(fMSE < fMSEBest)
                    {
                        final = *this;
                        fMSEBest = fMSE;
                    }
                }
            }

            switch(r)
            {
            case 1: for(register size_t i = 0; i < NUM_PIXELS_PER_BLOCK; i++) std::swap(EP.aLDRPixels[i].r, EP.aLDRPixels[i].a); break;
            case 2: for(register size_t i = 0; i < NUM_PIXELS_PER_BLOCK; i++) std::swap(EP.aLDRPixels[i].g, EP.aLDRPixels[i].a); break;
            case 3: for(register size_t i = 0; i < NUM_PIXELS_PER_BLOCK; i++) std::swap(EP.aLDRPixels[i].b, EP.aLDRPixels[i].a); break;
            }
        }
    }

    *this = final;
}


//-------------------------------------------------------------------------------------
_Use_decl_annotations_
void D3DX_BC7::GeneratePaletteQuantized(const EncodeParams* pEP, size_t uIndexMode, const LDREndPntPair& endPts, LDRColorA aPalette[]) const
{
    assert( pEP );
    const size_t uIndexPrec = uIndexMode ? ms_aInfo[pEP->uMode].uIndexPrec2 : ms_aInfo[pEP->uMode].uIndexPrec;
    const size_t uIndexPrec2 = uIndexMode ? ms_aInfo[pEP->uMode].uIndexPrec : ms_aInfo[pEP->uMode].uIndexPrec2;
    const size_t uNumIndices = size_t(1) << uIndexPrec;
    const size_t uNumIndices2 = size_t(1) << uIndexPrec2;
    assert( uNumIndices > 0 && uNumIndices2 > 0 );
    _Analysis_assume_( uNumIndices > 0 && uNumIndices2 > 0 );
    assert( (uNumIndices <= BC7_MAX_INDICES) && (uNumIndices2 <= BC7_MAX_INDICES) );
    _Analysis_assume_( (uNumIndices <= BC7_MAX_INDICES) && (uNumIndices2 <= BC7_MAX_INDICES) );

    LDRColorA a = Unquantize(endPts.A, ms_aInfo[pEP->uMode].RGBAPrecWithP);
    LDRColorA b = Unquantize(endPts.B, ms_aInfo[pEP->uMode].RGBAPrecWithP);
    if(uIndexPrec2 == 0)
    {
        for(register size_t i = 0; i < uNumIndices; i++)
            LDRColorA::Interpolate(a, b, i, i, uIndexPrec, uIndexPrec, aPalette[i]);
    }
    else
    {
        for(register size_t i = 0; i < uNumIndices; i++)
            LDRColorA::InterpolateRGB(a, b, i, uIndexPrec, aPalette[i]);
        for(register size_t i = 0; i < uNumIndices2; i++)
            LDRColorA::InterpolateA(a, b, i, uIndexPrec2, aPalette[i]);
    }
}

_Use_decl_annotations_
float D3DX_BC7::PerturbOne(const EncodeParams* pEP, const LDRColorA aColors[], size_t np, size_t uIndexMode, size_t ch,
                           const LDREndPntPair &oldEndPts, LDREndPntPair &newEndPts, float fOldErr, uint8_t do_b) const
{
    assert( pEP );
    const int prec = ms_aInfo[pEP->uMode].RGBAPrecWithP[ch];
    LDREndPntPair tmp_endPts = newEndPts = oldEndPts;
    float fMinErr = fOldErr;
    uint8_t* pnew_c = (do_b ? &newEndPts.B[ch] : &newEndPts.A[ch]);
    uint8_t* ptmp_c = (do_b ? &tmp_endPts.B[ch] : &tmp_endPts.A[ch]);

    // do a logarithmic search for the best error for this endpoint (which)
    for(int step = 1 << (prec-1); step; step >>= 1)
    {
        bool bImproved = false;
        int beststep = 0;
        for(int sign = -1; sign <= 1; sign += 2)
        {
            int tmp = int(*pnew_c) + sign * step;
            if(tmp < 0 || tmp >= (1 << prec))
                continue;
            else
                *ptmp_c = (uint8_t) tmp;

            float fTotalErr = MapColors(pEP, aColors, np, uIndexMode, tmp_endPts, fMinErr);
            if(fTotalErr < fMinErr)
            {
                bImproved = true;
                fMinErr = fTotalErr;
                beststep = sign * step;
            }
        }

        // if this was an improvement, move the endpoint and continue search from there
        if(bImproved)
            *pnew_c = uint8_t(int(*pnew_c) + beststep);
    }
    return fMinErr;
}

// perturb the endpoints at least -3 to 3.
// always ensure endpoint ordering is preserved (no need to overlap the scan)
_Use_decl_annotations_
void D3DX_BC7::Exhaustive(const EncodeParams* pEP, const LDRColorA aColors[], size_t np, size_t uIndexMode, size_t ch,
                          float& fOrgErr, LDREndPntPair& optEndPt) const
{
    assert( pEP );
    const uint8_t uPrec = ms_aInfo[pEP->uMode].RGBAPrecWithP[ch];
    LDREndPntPair tmpEndPt;
    if(fOrgErr == 0)
        return;

    int delta = 5;

    // ok figure out the range of A and B
    tmpEndPt = optEndPt;
    int alow = std::max<int>(0, int(optEndPt.A[ch]) - delta);
    int ahigh = std::min<int>((1 << uPrec) - 1, int(optEndPt.A[ch]) + delta);
    int blow = std::max<int>(0, int(optEndPt.B[ch]) - delta);
    int bhigh = std::min<int>((1 << uPrec) - 1, int(optEndPt.B[ch]) + delta);
    int amin = 0;
    int bmin = 0;

    float fBestErr = fOrgErr;
    if(optEndPt.A[ch] <= optEndPt.B[ch])
    {
        // keep a <= b
        for(int a = alow; a <= ahigh; ++a)
        {
            for(int b = std::max<int>(a, blow); b < bhigh; ++b)
            {
                tmpEndPt.A[ch] = (uint8_t) a;
                tmpEndPt.B[ch] = (uint8_t) b;

                float fErr = MapColors(pEP, aColors, np, uIndexMode, tmpEndPt, fBestErr);
                if(fErr < fBestErr)
                {
                    amin = a;
                    bmin = b;
                    fBestErr = fErr;
                }
            }
        }
    }
    else
    {
        // keep b <= a
        for(int b = blow; b < bhigh; ++b)
        {
            for(int a = std::max<int>(b, alow); a <= ahigh; ++a)
            {
                tmpEndPt.A[ch] = (uint8_t) a;
                tmpEndPt.B[ch] = (uint8_t) b;

                float fErr = MapColors(pEP, aColors, np, uIndexMode, tmpEndPt, fBestErr);
                if(fErr < fBestErr)
                {
                    amin = a;
                    bmin = b;
                    fBestErr = fErr;
                }
            }
        }
    }

    if(fBestErr < fOrgErr)
    {
        optEndPt.A[ch] = (uint8_t) amin;
        optEndPt.B[ch] = (uint8_t) bmin;
        fOrgErr = fBestErr;
    }
}

_Use_decl_annotations_
void D3DX_BC7::OptimizeOne(const EncodeParams* pEP, const LDRColorA aColors[], size_t np, size_t uIndexMode,
                           float fOrgErr, const LDREndPntPair& org, LDREndPntPair& opt) const
{
    assert( pEP );

    float fOptErr = fOrgErr;
    opt = org;

    LDREndPntPair new_a, new_b;
    LDREndPntPair newEndPts;
    uint8_t do_b;

    // now optimize each channel separately
    for(size_t ch = 0; ch < BC7_NUM_CHANNELS; ++ch)
    {
        if(ms_aInfo[pEP->uMode].RGBAPrecWithP[ch] == 0)
            continue;

        // figure out which endpoint when perturbed gives the most improvement and start there
        // if we just alternate, we can easily end up in a local minima
        float fErr0 = PerturbOne(pEP, aColors, np, uIndexMode, ch, opt, new_a, fOptErr, 0);	// perturb endpt A
        float fErr1 = PerturbOne(pEP, aColors, np, uIndexMode, ch, opt, new_b, fOptErr, 1);	// perturb endpt B

        uint8_t& copt_a = opt.A[ch];
        uint8_t& copt_b = opt.B[ch];
        uint8_t& cnew_a = new_a.A[ch];
        uint8_t& cnew_b = new_a.B[ch];

        if(fErr0 < fErr1)
        {
            if(fErr0 >= fOptErr)
                continue;
            copt_a = cnew_a;
            fOptErr = fErr0;
            do_b = 1;		// do B next
        }
        else
        {
            if(fErr1 >= fOptErr)
                continue;
            copt_b = cnew_b;
            fOptErr = fErr1;
            do_b = 0;		// do A next
        }

        // now alternate endpoints and keep trying until there is no improvement
        for( ; ; )
        {
            float fErr = PerturbOne(pEP, aColors, np, uIndexMode, ch, opt, newEndPts, fOptErr, do_b);
            if(fErr >= fOptErr)
                break;
            if(do_b == 0)
                copt_a = cnew_a;
            else
                copt_b = cnew_b;
            fOptErr = fErr;
            do_b = 1 - do_b;	// now move the other endpoint
        }
    }

    // finally, do a small exhaustive search around what we think is the global minima to be sure
    for(size_t ch = 0; ch < BC7_NUM_CHANNELS; ch++)
        Exhaustive(pEP, aColors, np, uIndexMode, ch, fOptErr, opt);
}

_Use_decl_annotations_
void D3DX_BC7::OptimizeEndPoints(const EncodeParams* pEP, size_t uShape, size_t uIndexMode, const float afOrgErr[],
                                 const LDREndPntPair aOrgEndPts[], LDREndPntPair aOptEndPts[]) const
{
    assert( pEP );
    const uint8_t uPartitions = ms_aInfo[pEP->uMode].uPartitions;
    assert( uPartitions < BC7_MAX_REGIONS && uShape < BC7_MAX_SHAPES );
    _Analysis_assume_( uPartitions < BC7_MAX_REGIONS && uShape < BC7_MAX_SHAPES );

    LDRColorA aPixels[NUM_PIXELS_PER_BLOCK];

    for(size_t p = 0; p <= uPartitions; ++p)
    {
        // collect the pixels in the region
        size_t np = 0;
        for(register size_t i = 0; i < NUM_PIXELS_PER_BLOCK; ++i)
            if(g_aPartitionTable[uPartitions][uShape][i] == p)
                aPixels[np++] = pEP->aLDRPixels[i];

        OptimizeOne(pEP, aPixels, np, uIndexMode, afOrgErr[p], aOrgEndPts[p], aOptEndPts[p]);
    }
}

_Use_decl_annotations_
void D3DX_BC7::AssignIndices(const EncodeParams* pEP, size_t uShape, size_t uIndexMode, LDREndPntPair endPts[], size_t aIndices[], size_t aIndices2[],
                             float afTotErr[]) const
{
    assert( pEP );
    assert( uShape < BC7_MAX_SHAPES );
    _Analysis_assume_( uShape < BC7_MAX_SHAPES );

    const uint8_t uPartitions = ms_aInfo[pEP->uMode].uPartitions;
    assert( uPartitions < BC7_MAX_REGIONS );
    _Analysis_assume_( uPartitions < BC7_MAX_REGIONS );

    const uint8_t uIndexPrec = uIndexMode ? ms_aInfo[pEP->uMode].uIndexPrec2 : ms_aInfo[pEP->uMode].uIndexPrec;
    const uint8_t uIndexPrec2 = uIndexMode ? ms_aInfo[pEP->uMode].uIndexPrec : ms_aInfo[pEP->uMode].uIndexPrec2;
    const uint8_t uNumIndices = 1 << uIndexPrec;
    const uint8_t uNumIndices2 = 1 << uIndexPrec2;

    assert( (uNumIndices <= BC7_MAX_INDICES) && (uNumIndices2 <= BC7_MAX_INDICES) );
    _Analysis_assume_( (uNumIndices <= BC7_MAX_INDICES) && (uNumIndices2 <= BC7_MAX_INDICES) );

    const uint8_t uHighestIndexBit = uNumIndices >> 1;
    const uint8_t uHighestIndexBit2 = uNumIndices2 >> 1;
    LDRColorA aPalette[BC7_MAX_REGIONS][BC7_MAX_INDICES];

    // build list of possibles
    for(size_t p = 0; p <= uPartitions; p++)
    {
        GeneratePaletteQuantized(pEP, uIndexMode, endPts[p], aPalette[p]);
        afTotErr[p] = 0;
    }

    for(register size_t i = 0; i < NUM_PIXELS_PER_BLOCK; i++)
    {
        uint8_t uRegion = g_aPartitionTable[uPartitions][uShape][i];
        assert( uRegion < BC7_MAX_REGIONS );
        _Analysis_assume_( uRegion < BC7_MAX_REGIONS );
        afTotErr[uRegion] += ComputeError(pEP->aLDRPixels[i], aPalette[uRegion], uIndexPrec, uIndexPrec2, &(aIndices[i]), &(aIndices2[i]));
    }

    // swap endpoints as needed to ensure that the indices at index_positions have a 0 high-order bit
    if(uIndexPrec2 == 0)
    {
        for(register size_t p = 0; p <= uPartitions; p++)
        {
            if(aIndices[g_aFixUp[uPartitions][uShape][p]] & uHighestIndexBit)
            {
                std::swap(endPts[p].A, endPts[p].B);
                for(register size_t i = 0; i < NUM_PIXELS_PER_BLOCK; i++)
                    if(g_aPartitionTable[uPartitions][uShape][i] == p)
                        aIndices[i] = uNumIndices - 1 - aIndices[i];
            }
            assert((aIndices[g_aFixUp[uPartitions][uShape][p]] & uHighestIndexBit) == 0);
        }
    }
    else
    {
        for(register size_t p = 0; p <= uPartitions; p++)
        {
            if(aIndices[g_aFixUp[uPartitions][uShape][p]] & uHighestIndexBit)
            {
                std::swap(endPts[p].A.r, endPts[p].B.r);
                std::swap(endPts[p].A.g, endPts[p].B.g);
                std::swap(endPts[p].A.b, endPts[p].B.b);
                for(register size_t i = 0; i < NUM_PIXELS_PER_BLOCK; i++)
                    if(g_aPartitionTable[uPartitions][uShape][i] == p)
                        aIndices[i] = uNumIndices - 1 - aIndices[i];
            }
            assert((aIndices[g_aFixUp[uPartitions][uShape][p]] & uHighestIndexBit) == 0);

            if(aIndices2[0] & uHighestIndexBit2)
            {
                std::swap(endPts[p].A.a, endPts[p].B.a);
                for(register size_t i = 0; i < NUM_PIXELS_PER_BLOCK; i++)
                    aIndices2[i] = uNumIndices2 - 1 - aIndices2[i];
            }
            assert((aIndices2[0] & uHighestIndexBit2) == 0);
        }
    }
}

_Use_decl_annotations_
void D3DX_BC7::EmitBlock(const EncodeParams* pEP, size_t uShape, size_t uRotation, size_t uIndexMode, const LDREndPntPair aEndPts[], const size_t aIndex[], const size_t aIndex2[])
{
    assert( pEP );
    const uint8_t uPartitions = ms_aInfo[pEP->uMode].uPartitions;
    assert( uPartitions < BC7_MAX_REGIONS );
    _Analysis_assume_( uPartitions < BC7_MAX_REGIONS );

    const size_t uPBits = ms_aInfo[pEP->uMode].uPBits;
    const size_t uIndexPrec = ms_aInfo[pEP->uMode].uIndexPrec;
    const size_t uIndexPrec2 = ms_aInfo[pEP->uMode].uIndexPrec2;
    const LDRColorA RGBAPrec = ms_aInfo[pEP->uMode].RGBAPrec;
    const LDRColorA RGBAPrecWithP = ms_aInfo[pEP->uMode].RGBAPrecWithP;
    register size_t i;
    size_t uStartBit = 0;
    SetBits(uStartBit, pEP->uMode, 0);
    SetBits(uStartBit, 1, 1);
    SetBits(uStartBit, ms_aInfo[pEP->uMode].uRotationBits, static_cast<uint8_t>( uRotation ));
    SetBits(uStartBit, ms_aInfo[pEP->uMode].uIndexModeBits, static_cast<uint8_t>( uIndexMode ));
    SetBits(uStartBit, ms_aInfo[pEP->uMode].uPartitionBits, static_cast<uint8_t>( uShape ));

    if(uPBits)
    {
        const size_t uNumEP = size_t(1 + uPartitions) << 1;
        uint8_t aPVote[BC7_MAX_REGIONS << 1] = {0,0,0,0,0,0};
        uint8_t aCount[BC7_MAX_REGIONS << 1] = {0,0,0,0,0,0};
        for(uint8_t ch = 0; ch < BC7_NUM_CHANNELS; ch++)
        {
            uint8_t ep = 0;
            for(i = 0; i <= uPartitions; i++)
            {
                if(RGBAPrec[ch] == RGBAPrecWithP[ch])
                {
                    SetBits(uStartBit, RGBAPrec[ch], aEndPts[i].A[ch]);
                    SetBits(uStartBit, RGBAPrec[ch], aEndPts[i].B[ch]);
                }
                else
                {
                    SetBits(uStartBit, RGBAPrec[ch], aEndPts[i].A[ch] >> 1);
                    SetBits(uStartBit, RGBAPrec[ch], aEndPts[i].B[ch] >> 1);
                    size_t idx = ep++ * uPBits / uNumEP;
                    assert(idx < (BC7_MAX_REGIONS << 1));
                    _Analysis_assume_(idx < (BC7_MAX_REGIONS << 1));
                    aPVote[idx] += aEndPts[i].A[ch] & 0x01;
                    aCount[idx]++;
                    idx = ep++ * uPBits / uNumEP;
                    assert(idx < (BC7_MAX_REGIONS << 1));
                    _Analysis_assume_(idx < (BC7_MAX_REGIONS << 1));
                    aPVote[idx] += aEndPts[i].B[ch] & 0x01;
                    aCount[idx]++;
                }
            }
        }

        for(i = 0; i < uPBits; i++)
        {
            SetBits(uStartBit, 1, aPVote[i] > (aCount[i] >> 1) ? 1 : 0);
        }
    }
    else
    {
        for(size_t ch = 0; ch < BC7_NUM_CHANNELS; ch++)
        {
            for(i = 0; i <= uPartitions; i++)
            {
                SetBits(uStartBit, RGBAPrec[ch], aEndPts[i].A[ch] );
                SetBits(uStartBit, RGBAPrec[ch], aEndPts[i].B[ch] );
            }
        }
    }

    const size_t* aI1 = uIndexMode ? aIndex2 : aIndex;
    const size_t* aI2 = uIndexMode ? aIndex : aIndex2;
    for(i = 0; i < NUM_PIXELS_PER_BLOCK; i++)
    {
        if(IsFixUpOffset(ms_aInfo[pEP->uMode].uPartitions, uShape, i))
            SetBits(uStartBit, uIndexPrec - 1, static_cast<uint8_t>( aI1[i] ));
        else
            SetBits(uStartBit, uIndexPrec, static_cast<uint8_t>( aI1[i] ));
    }
    if(uIndexPrec2)
        for(i = 0; i < NUM_PIXELS_PER_BLOCK; i++)
            SetBits(uStartBit, i ? uIndexPrec2 : uIndexPrec2 - 1, static_cast<uint8_t>( aI2[i] ));

    assert(uStartBit == 128);
}

_Use_decl_annotations_
float D3DX_BC7::Refine(const EncodeParams* pEP, size_t uShape, size_t uRotation, size_t uIndexMode)
{
    assert( pEP );
    assert( uShape < BC7_MAX_SHAPES );
    _Analysis_assume_( uShape < BC7_MAX_SHAPES );
    const LDREndPntPair* aEndPts = pEP->aEndPts[uShape];

    const size_t uPartitions = ms_aInfo[pEP->uMode].uPartitions;
    assert( uPartitions < BC7_MAX_REGIONS );
    _Analysis_assume_( uPartitions < BC7_MAX_REGIONS );

    LDREndPntPair aOrgEndPts[BC7_MAX_REGIONS];
    LDREndPntPair aOptEndPts[BC7_MAX_REGIONS];
    size_t aOrgIdx[NUM_PIXELS_PER_BLOCK];
    size_t aOrgIdx2[NUM_PIXELS_PER_BLOCK];
    size_t aOptIdx[NUM_PIXELS_PER_BLOCK];
    size_t aOptIdx2[NUM_PIXELS_PER_BLOCK];
    float aOrgErr[BC7_MAX_REGIONS];
    float aOptErr[BC7_MAX_REGIONS];

    for(register size_t p = 0; p <= uPartitions; p++)
    {
        aOrgEndPts[p].A = Quantize(aEndPts[p].A, ms_aInfo[pEP->uMode].RGBAPrecWithP);
        aOrgEndPts[p].B = Quantize(aEndPts[p].B, ms_aInfo[pEP->uMode].RGBAPrecWithP);
    }

    AssignIndices(pEP, uShape, uIndexMode, aOrgEndPts, aOrgIdx, aOrgIdx2, aOrgErr);
    OptimizeEndPoints(pEP, uShape, uIndexMode, aOrgErr, aOrgEndPts, aOptEndPts);
    AssignIndices(pEP, uShape, uIndexMode, aOptEndPts, aOptIdx, aOptIdx2, aOptErr);

    float fOrgTotErr = 0, fOptTotErr = 0;
    for(register size_t p = 0; p <= uPartitions; p++)
    {
        fOrgTotErr += aOrgErr[p];
        fOptTotErr += aOptErr[p];
    }
    if(fOptTotErr < fOrgTotErr)
    {
        EmitBlock(pEP, uShape, uRotation, uIndexMode, aOptEndPts, aOptIdx, aOptIdx2);
        return fOptTotErr;
    }
    else
    {
        EmitBlock(pEP, uShape, uRotation, uIndexMode, aOrgEndPts, aOrgIdx, aOrgIdx2);
        return fOrgTotErr;
    }
}

_Use_decl_annotations_
float D3DX_BC7::MapColors(const EncodeParams* pEP, const LDRColorA aColors[], size_t np, size_t uIndexMode, const LDREndPntPair& endPts, float fMinErr) const
{
    assert( pEP );
    const uint8_t uIndexPrec = uIndexMode ? ms_aInfo[pEP->uMode].uIndexPrec2 : ms_aInfo[pEP->uMode].uIndexPrec;
    const uint8_t uIndexPrec2 = uIndexMode ? ms_aInfo[pEP->uMode].uIndexPrec : ms_aInfo[pEP->uMode].uIndexPrec2;
    LDRColorA aPalette[BC7_MAX_INDICES];
    float fTotalErr = 0;

    GeneratePaletteQuantized(pEP, uIndexMode, endPts, aPalette);
    for(register size_t i = 0; i < np; ++i)
    {
        fTotalErr += ComputeError(aColors[i], aPalette, uIndexPrec, uIndexPrec2);
        if(fTotalErr > fMinErr)   // check for early exit
        {
            fTotalErr = FLT_MAX;
            break;
        }
    }

    return fTotalErr;
}

_Use_decl_annotations_
float D3DX_BC7::RoughMSE(EncodeParams* pEP, size_t uShape, size_t uIndexMode)
{
    assert( pEP );
    assert( uShape < BC7_MAX_SHAPES );
    _Analysis_assume_( uShape < BC7_MAX_SHAPES );
    LDREndPntPair* aEndPts = pEP->aEndPts[uShape];

    const uint8_t uPartitions = ms_aInfo[pEP->uMode].uPartitions;
    assert( uPartitions < BC7_MAX_REGIONS );
    _Analysis_assume_( uPartitions < BC7_MAX_REGIONS );

    const uint8_t uIndexPrec = uIndexMode ? ms_aInfo[pEP->uMode].uIndexPrec2 : ms_aInfo[pEP->uMode].uIndexPrec;
    const uint8_t uIndexPrec2 = uIndexMode ? ms_aInfo[pEP->uMode].uIndexPrec : ms_aInfo[pEP->uMode].uIndexPrec2;
    const uint8_t uNumIndices = 1 << uIndexPrec;
    const uint8_t uNumIndices2 = 1 << uIndexPrec2;
    size_t auPixIdx[NUM_PIXELS_PER_BLOCK];
    LDRColorA aPalette[BC7_MAX_REGIONS][BC7_MAX_INDICES];

    for(size_t p = 0; p <= uPartitions; p++)
    {
        size_t np = 0;
        for(register size_t i = 0; i < NUM_PIXELS_PER_BLOCK; i++)
        {
            if (g_aPartitionTable[uPartitions][uShape][i] == p)
            {
                auPixIdx[np++] = i;
            }
        }

        // handle simple cases
        assert(np > 0);
        if(np == 1)
        {
            aEndPts[p].A = pEP->aLDRPixels[auPixIdx[0]];
            aEndPts[p].B = pEP->aLDRPixels[auPixIdx[0]];
            continue;
        }
        else if(np == 2)
        {
            aEndPts[p].A = pEP->aLDRPixels[auPixIdx[0]];
            aEndPts[p].B = pEP->aLDRPixels[auPixIdx[1]];
            continue;
        }

        if(uIndexPrec2 == 0)
        {
            HDRColorA epA, epB;
            OptimizeRGBA(pEP->aHDRPixels, &epA, &epB, 4, np, auPixIdx);
            epA.Clamp(0.0f, 1.0f);
            epB.Clamp(0.0f, 1.0f);
            epA *= 255.0f;
            epB *= 255.0f;
            aEndPts[p].A = epA.ToLDRColorA();
            aEndPts[p].B = epB.ToLDRColorA();
        }
        else
        {
            uint8_t uMinAlpha = 255, uMaxAlpha = 0;
            for(register size_t i = 0; i < NUM_PIXELS_PER_BLOCK; ++i)
            {
                uMinAlpha = std::min<uint8_t>(uMinAlpha, pEP->aLDRPixels[auPixIdx[i]].a);
                uMaxAlpha = std::max<uint8_t>(uMaxAlpha, pEP->aLDRPixels[auPixIdx[i]].a);
            }

            HDRColorA epA, epB;
            OptimizeRGB(pEP->aHDRPixels, &epA, &epB, 4, np, auPixIdx);
            epA.Clamp(0.0f, 1.0f);
            epB.Clamp(0.0f, 1.0f);
            epA *= 255.0f;
            epB *= 255.0f;
            aEndPts[p].A = epA.ToLDRColorA();
            aEndPts[p].B = epB.ToLDRColorA();
            aEndPts[p].A.a = uMinAlpha;
            aEndPts[p].B.a = uMaxAlpha;
        }
    }

    if(uIndexPrec2 == 0)
    {
        for(size_t p = 0; p <= uPartitions; p++)
            for(register size_t i = 0; i < uNumIndices; i++)
                LDRColorA::Interpolate(aEndPts[p].A, aEndPts[p].B, i, i, uIndexPrec, uIndexPrec, aPalette[p][i]);
    }
    else
    {
        for(size_t p = 0; p <= uPartitions; p++)
        {
            for(register size_t i = 0; i < uNumIndices; i++)
                LDRColorA::InterpolateRGB(aEndPts[p].A, aEndPts[p].B, i, uIndexPrec, aPalette[p][i]);
            for(register size_t i = 0; i < uNumIndices2; i++)
                LDRColorA::InterpolateA(aEndPts[p].A, aEndPts[p].B, i, uIndexPrec2, aPalette[p][i]);
        }
    }

    float fTotalErr = 0;
    for(register size_t i = 0; i < NUM_PIXELS_PER_BLOCK; i++)
    {
        uint8_t uRegion = g_aPartitionTable[uPartitions][uShape][i];
        fTotalErr += ComputeError(pEP->aLDRPixels[i], aPalette[uRegion], uIndexPrec, uIndexPrec2);
    }

    return fTotalErr;
}

//=====================================================================================
// Entry points
//=====================================================================================

//-------------------------------------------------------------------------------------
// BC6H Compression
//-------------------------------------------------------------------------------------
_Use_decl_annotations_
void D3DXDecodeBC6HU(XMVECTOR *pColor, const uint8_t *pBC)
{
    assert( pColor && pBC );
    static_assert( sizeof(D3DX_BC6H) == 16, "D3DX_BC6H should be 16 bytes" );
    reinterpret_cast< const D3DX_BC6H* >( pBC )->Decode(false, reinterpret_cast<HDRColorA*>(pColor));
}

_Use_decl_annotations_
void D3DXDecodeBC6HS(XMVECTOR *pColor, const uint8_t *pBC)
{
    assert( pColor && pBC );
    static_assert( sizeof(D3DX_BC6H) == 16, "D3DX_BC6H should be 16 bytes" );
    reinterpret_cast< const D3DX_BC6H* >( pBC )->Decode(true, reinterpret_cast<HDRColorA*>(pColor));
}

_Use_decl_annotations_
void D3DXEncodeBC6HU(uint8_t *pBC, const XMVECTOR *pColor, DWORD flags)
{
    UNREFERENCED_PARAMETER(flags);
    assert( pBC && pColor );
    static_assert( sizeof(D3DX_BC6H) == 16, "D3DX_BC6H should be 16 bytes" );
    reinterpret_cast< D3DX_BC6H* >( pBC )->Encode(false, reinterpret_cast<const HDRColorA*>(pColor));
}

_Use_decl_annotations_
void D3DXEncodeBC6HS(uint8_t *pBC, const XMVECTOR *pColor, DWORD flags)
{
    UNREFERENCED_PARAMETER(flags);
    assert( pBC && pColor );
    static_assert( sizeof(D3DX_BC6H) == 16, "D3DX_BC6H should be 16 bytes" );
    reinterpret_cast< D3DX_BC6H* >( pBC )->Encode(true, reinterpret_cast<const HDRColorA*>(pColor));
}


//-------------------------------------------------------------------------------------
// BC7 Compression
//-------------------------------------------------------------------------------------
_Use_decl_annotations_
void D3DXDecodeBC7(XMVECTOR *pColor, const uint8_t *pBC)
{
    assert( pColor && pBC );
    static_assert( sizeof(D3DX_BC7) == 16, "D3DX_BC7 should be 16 bytes" );
    reinterpret_cast< const D3DX_BC7* >( pBC )->Decode(reinterpret_cast<HDRColorA*>(pColor));
}

_Use_decl_annotations_
void D3DXEncodeBC7(uint8_t *pBC, const XMVECTOR *pColor, DWORD flags)
{
    assert( pBC && pColor );
    static_assert( sizeof(D3DX_BC7) == 16, "D3DX_BC7 should be 16 bytes" );
    reinterpret_cast< D3DX_BC7* >( pBC )->Encode( !(flags& BC_FLAGS_USE_3SUBSETS), reinterpret_cast<const HDRColorA*>(pColor));
}

} // namespace