mathutil.h

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Author : Jamie Madill
Date : 2014-08-25 13:58:16
Hash : 3e3813f7
Message : Optimize dynamic buffers. In D3D11, we would previously always use a staging buffer to proxy data to the GPU. This change allows users which specify DYNAMIC_DRAW to skip the staging buffer as long as they only write to index or vertex buffers. This improves performance on all tested GPU vendors, but in D3D11 on AMD and Intel our SubData calls are still significantly slower than in D3D9. BUG=angle:705 BUG=365078 Change-Id: I4f83164176d67ff00119bdd0a6a80d7c84fd0f03 Reviewed-on: https://chromium-review.googlesource.com/213813 Reviewed-by: Geoff Lang <geofflang@chromium.org> Tested-by: Jamie Madill <jmadill@chromium.org>
src/common/mathutil.h
//
// Copyright (c) 2002-2013 The ANGLE Project Authors. All rights reserved.
// Use of this source code is governed by a BSD-style license that can be
// found in the LICENSE file.
//

// mathutil.h: Math and bit manipulation functions.

#ifndef LIBGLESV2_MATHUTIL_H_
#define LIBGLESV2_MATHUTIL_H_

#include "common/debug.h"
#include "common/platform.h"

#include <limits>
#include <algorithm>
#include <string.h>

namespace gl
{

const unsigned int Float32One = 0x3F800000;
const unsigned short Float16One = 0x3C00;

struct Vector4
{
    Vector4() {}
    Vector4(float x, float y, float z, float w) : x(x), y(y), z(z), w(w) {}

    float x;
    float y;
    float z;
    float w;
};

inline bool isPow2(int x)
{
    return (x & (x - 1)) == 0 && (x != 0);
}

inline int log2(int x)
{
    int r = 0;
    while ((x >> r) > 1) r++;
    return r;
}

inline unsigned int ceilPow2(unsigned int x)
{
    if (x != 0) x--;
    x |= x >> 1;
    x |= x >> 2;
    x |= x >> 4;
    x |= x >> 8;
    x |= x >> 16;
    x++;

    return x;
}

inline int clampToInt(unsigned int x)
{
    return static_cast<int>(std::min(x, static_cast<unsigned int>(std::numeric_limits<int>::max())));
}

template <typename DestT, typename SrcT>
inline DestT clampCast(SrcT value)
{
    // This assumes SrcT can properly represent DestT::min/max
    // Unfortunately we can't use META_ASSERT without C++11 constexpr support
    ASSERT(static_cast<DestT>(static_cast<SrcT>(std::numeric_limits<DestT>::min())) == std::numeric_limits<DestT>::min());
    ASSERT(static_cast<DestT>(static_cast<SrcT>(std::numeric_limits<DestT>::max())) == std::numeric_limits<DestT>::max());

    SrcT lo = static_cast<SrcT>(std::numeric_limits<DestT>::min());
    SrcT hi = static_cast<SrcT>(std::numeric_limits<DestT>::max());
    return static_cast<DestT>(value > lo ? (value > hi ? hi : value) : lo);
}

template<typename T, typename MIN, typename MAX>
inline T clamp(T x, MIN min, MAX max)
{
    // Since NaNs fail all comparison tests, a NaN value will default to min
    return x > min ? (x > max ? max : x) : min;
}

inline float clamp01(float x)
{
    return clamp(x, 0.0f, 1.0f);
}

template<const int n>
inline unsigned int unorm(float x)
{
    const unsigned int max = 0xFFFFFFFF >> (32 - n);

    if (x > 1)
    {
        return max;
    }
    else if (x < 0)
    {
        return 0;
    }
    else
    {
        return (unsigned int)(max * x + 0.5f);
    }
}

inline bool supportsSSE2()
{
#ifdef ANGLE_PLATFORM_WINDOWS
    static bool checked = false;
    static bool supports = false;

    if (checked)
    {
        return supports;
    }

    int info[4];
    __cpuid(info, 0);

    if (info[0] >= 1)
    {
        __cpuid(info, 1);

        supports = (info[3] >> 26) & 1;
    }

    checked = true;

    return supports;
#else
    UNIMPLEMENTED();
    return false;
#endif
}

template <typename destType, typename sourceType>
destType bitCast(const sourceType &source)
{
    size_t copySize = std::min(sizeof(destType), sizeof(sourceType));
    destType output;
    memcpy(&output, &source, copySize);
    return output;
}

inline unsigned short float32ToFloat16(float fp32)
{
    unsigned int fp32i = (unsigned int&)fp32;
    unsigned int sign = (fp32i & 0x80000000) >> 16;
    unsigned int abs = fp32i & 0x7FFFFFFF;

    if(abs > 0x47FFEFFF)   // Infinity
    {
        return sign | 0x7FFF;
    }
    else if(abs < 0x38800000)   // Denormal
    {
        unsigned int mantissa = (abs & 0x007FFFFF) | 0x00800000;
        int e = 113 - (abs >> 23);

        if(e < 24)
        {
            abs = mantissa >> e;
        }
        else
        {
            abs = 0;
        }

        return sign | (abs + 0x00000FFF + ((abs >> 13) & 1)) >> 13;
    }
    else
    {
        return sign | (abs + 0xC8000000 + 0x00000FFF + ((abs >> 13) & 1)) >> 13;
    }
}

float float16ToFloat32(unsigned short h);

unsigned int convertRGBFloatsTo999E5(float red, float green, float blue);
void convert999E5toRGBFloats(unsigned int input, float *red, float *green, float *blue);

inline unsigned short float32ToFloat11(float fp32)
{
    const unsigned int float32MantissaMask = 0x7FFFFF;
    const unsigned int float32ExponentMask = 0x7F800000;
    const unsigned int float32SignMask = 0x80000000;
    const unsigned int float32ValueMask = ~float32SignMask;
    const unsigned int float32ExponentFirstBit = 23;
    const unsigned int float32ExponentBias = 127;

    const unsigned short float11Max = 0x7BF;
    const unsigned short float11MantissaMask = 0x3F;
    const unsigned short float11ExponentMask = 0x7C0;
    const unsigned short float11BitMask = 0x7FF;
    const unsigned int float11ExponentBias = 14;

    const unsigned int float32Maxfloat11 = 0x477E0000;
    const unsigned int float32Minfloat11 = 0x38800000;

    const unsigned int float32Bits = bitCast<unsigned int>(fp32);
    const bool float32Sign = (float32Bits & float32SignMask) == float32SignMask;

    unsigned int float32Val = float32Bits & float32ValueMask;

    if ((float32Val & float32ExponentMask) == float32ExponentMask)
    {
        // INF or NAN
        if ((float32Val & float32MantissaMask) != 0)
        {
            return float11ExponentMask | (((float32Val >> 17) | (float32Val >> 11) | (float32Val >> 6) | (float32Val)) & float11MantissaMask);
        }
        else if (float32Sign)
        {
            // -INF is clamped to 0 since float11 is positive only
            return 0;
        }
        else
        {
            return float11ExponentMask;
        }
    }
    else if (float32Sign)
    {
        // float11 is positive only, so clamp to zero
        return 0;
    }
    else if (float32Val > float32Maxfloat11)
    {
        // The number is too large to be represented as a float11, set to max
        return float11Max;
    }
    else
    {
        if (float32Val < float32Minfloat11)
        {
            // The number is too small to be represented as a normalized float11
            // Convert it to a denormalized value.
            const unsigned int shift = (float32ExponentBias - float11ExponentBias) - (float32Val >> float32ExponentFirstBit);
            float32Val = ((1 << float32ExponentFirstBit) | (float32Val & float32MantissaMask)) >> shift;
        }
        else
        {
            // Rebias the exponent to represent the value as a normalized float11
            float32Val += 0xC8000000;
        }

        return ((float32Val + 0xFFFF + ((float32Val >> 17) & 1)) >> 17) & float11BitMask;
    }
}

inline unsigned short float32ToFloat10(float fp32)
{
    const unsigned int float32MantissaMask = 0x7FFFFF;
    const unsigned int float32ExponentMask = 0x7F800000;
    const unsigned int float32SignMask = 0x80000000;
    const unsigned int float32ValueMask = ~float32SignMask;
    const unsigned int float32ExponentFirstBit = 23;
    const unsigned int float32ExponentBias = 127;

    const unsigned short float10Max = 0x3DF;
    const unsigned short float10MantissaMask = 0x1F;
    const unsigned short float10ExponentMask = 0x3E0;
    const unsigned short float10BitMask = 0x3FF;
    const unsigned int float10ExponentBias = 14;

    const unsigned int float32Maxfloat10 = 0x477C0000;
    const unsigned int float32Minfloat10 = 0x38800000;

    const unsigned int float32Bits = bitCast<unsigned int>(fp32);
    const bool float32Sign = (float32Bits & float32SignMask) == float32SignMask;

    unsigned int float32Val = float32Bits & float32ValueMask;

    if ((float32Val & float32ExponentMask) == float32ExponentMask)
    {
        // INF or NAN
        if ((float32Val & float32MantissaMask) != 0)
        {
            return float10ExponentMask | (((float32Val >> 18) | (float32Val >> 13) | (float32Val >> 3) | (float32Val)) & float10MantissaMask);
        }
        else if (float32Sign)
        {
            // -INF is clamped to 0 since float11 is positive only
            return 0;
        }
        else
        {
            return float10ExponentMask;
        }
    }
    else if (float32Sign)
    {
        // float10 is positive only, so clamp to zero
        return 0;
    }
    else if (float32Val > float32Maxfloat10)
    {
        // The number is too large to be represented as a float11, set to max
        return float10Max;
    }
    else
    {
        if (float32Val < float32Minfloat10)
        {
            // The number is too small to be represented as a normalized float11
            // Convert it to a denormalized value.
            const unsigned int shift = (float32ExponentBias - float10ExponentBias) - (float32Val >> float32ExponentFirstBit);
            float32Val = ((1 << float32ExponentFirstBit) | (float32Val & float32MantissaMask)) >> shift;
        }
        else
        {
            // Rebias the exponent to represent the value as a normalized float11
            float32Val += 0xC8000000;
        }

        return ((float32Val + 0x1FFFF + ((float32Val >> 18) & 1)) >> 18) & float10BitMask;
    }
}

inline float float11ToFloat32(unsigned short fp11)
{
    unsigned short exponent = (fp11 >> 6) & 0x1F;
    unsigned short mantissa = fp11 & 0x3F;

    if (exponent == 0x1F)
    {
        // INF or NAN
        return bitCast<float>(0x7f800000 | (mantissa << 17));
    }
    else
    {
        if (exponent != 0)
        {
            // normalized
        }
        else if (mantissa != 0)
        {
            // The value is denormalized
            exponent = 1;

            do
            {
                exponent--;
                mantissa <<= 1;
            }
            while ((mantissa & 0x40) == 0);

            mantissa = mantissa & 0x3F;
        }
        else // The value is zero
        {
            exponent = -112;
        }

        return bitCast<float>(((exponent + 112) << 23) | (mantissa << 17));
    }
}

inline float float10ToFloat32(unsigned short fp11)
{
    unsigned short exponent = (fp11 >> 5) & 0x1F;
    unsigned short mantissa = fp11 & 0x1F;

    if (exponent == 0x1F)
    {
        // INF or NAN
        return bitCast<float>(0x7f800000 | (mantissa << 17));
    }
    else
    {
        if (exponent != 0)
        {
            // normalized
        }
        else if (mantissa != 0)
        {
            // The value is denormalized
            exponent = 1;

            do
            {
                exponent--;
                mantissa <<= 1;
            }
            while ((mantissa & 0x20) == 0);

            mantissa = mantissa & 0x1F;
        }
        else // The value is zero
        {
            exponent = -112;
        }

        return bitCast<float>(((exponent + 112) << 23) | (mantissa << 18));
    }
}

template <typename T>
inline float normalizedToFloat(T input)
{
    META_ASSERT(std::numeric_limits<T>::is_integer);

    const float inverseMax = 1.0f / std::numeric_limits<T>::max();
    return input * inverseMax;
}

template <unsigned int inputBitCount, typename T>
inline float normalizedToFloat(T input)
{
    META_ASSERT(std::numeric_limits<T>::is_integer);
    META_ASSERT(inputBitCount < (sizeof(T) * 8));

    const float inverseMax = 1.0f / ((1 << inputBitCount) - 1);
    return input * inverseMax;
}

template <typename T>
inline T floatToNormalized(float input)
{
    return std::numeric_limits<T>::max() * input + 0.5f;
}

template <unsigned int outputBitCount, typename T>
inline T floatToNormalized(float input)
{
    META_ASSERT(outputBitCount < (sizeof(T) * 8));
    return ((1 << outputBitCount) - 1) * input + 0.5f;
}

template <unsigned int inputBitCount, unsigned int inputBitStart, typename T>
inline T getShiftedData(T input)
{
    META_ASSERT(inputBitCount + inputBitStart <= (sizeof(T) * 8));
    const T mask = (1 << inputBitCount) - 1;
    return (input >> inputBitStart) & mask;
}

template <unsigned int inputBitCount, unsigned int inputBitStart, typename T>
inline T shiftData(T input)
{
    META_ASSERT(inputBitCount + inputBitStart <= (sizeof(T) * 8));
    const T mask = (1 << inputBitCount) - 1;
    return (input & mask) << inputBitStart;
}


inline unsigned char average(unsigned char a, unsigned char b)
{
    return ((a ^ b) >> 1) + (a & b);
}

inline signed char average(signed char a, signed char b)
{
    return ((short)a + (short)b) / 2;
}

inline unsigned short average(unsigned short a, unsigned short b)
{
    return ((a ^ b) >> 1) + (a & b);
}

inline signed short average(signed short a, signed short b)
{
    return ((int)a + (int)b) / 2;
}

inline unsigned int average(unsigned int a, unsigned int b)
{
    return ((a ^ b) >> 1) + (a & b);
}

inline signed int average(signed int a, signed int b)
{
    return ((long long)a + (long long)b) / 2;
}

inline float average(float a, float b)
{
    return (a + b) * 0.5f;
}

inline unsigned short averageHalfFloat(unsigned short a, unsigned short b)
{
    return float32ToFloat16((float16ToFloat32(a) + float16ToFloat32(b)) * 0.5f);
}

inline unsigned int averageFloat11(unsigned int a, unsigned int b)
{
    return float32ToFloat11((float11ToFloat32(a) + float11ToFloat32(b)) * 0.5f);
}

inline unsigned int averageFloat10(unsigned int a, unsigned int b)
{
    return float32ToFloat10((float10ToFloat32(a) + float10ToFloat32(b)) * 0.5f);
}

}

namespace rx
{

template <typename T>
struct Range
{
    Range() {}
    Range(T lo, T hi) : start(lo), end(hi) { }

    T start;
    T end;

    T length() const { return (end > start ? (end - start) : 0); }
};

typedef Range<int> RangeI;
typedef Range<unsigned int> RangeUI;

template <typename T>
T roundUp(const T value, const T alignment)
{
    return value + alignment - 1 - (value - 1) % alignment;
}

inline unsigned int UnsignedCeilDivide(unsigned int value, unsigned int divisor)
{
    unsigned int divided = value / divisor;
    return (divided + ((value % divisor == 0) ? 0 : 1));
}

template <class T>
inline bool IsUnsignedAdditionSafe(T lhs, T rhs)
{
    META_ASSERT(!std::numeric_limits<T>::is_signed);
    return (rhs <= std::numeric_limits<T>::max() - lhs);
}

template <class T>
inline bool IsUnsignedMultiplicationSafe(T lhs, T rhs)
{
    META_ASSERT(!std::numeric_limits<T>::is_signed);
    return (lhs == T(0) || rhs == T(0) || (rhs <= std::numeric_limits<T>::max() / lhs));
}

template <class SmallIntT, class BigIntT>
inline bool IsIntegerCastSafe(BigIntT bigValue)
{
    return (static_cast<BigIntT>(static_cast<SmallIntT>(bigValue)) == bigValue);
}

}

#endif   // LIBGLESV2_MATHUTIL_H_
kc3-lang/angle/src/common/mathutil.h

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kc3-lang/angle /src/common/mathutil.h
