Attempting to use an external library to handle bitstreams. Isn't going the grreatest.
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#pragma once
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/*
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* Copyright (c) 2018 Stanislav Denisov
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*
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* Permission is hereby granted, free of charge, to any person obtaining a copy
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* of this software and associated documentation files (the "Software"), to deal
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* in the Software without restriction, including without limitation the rights
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* to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
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* copies of the Software, and to permit persons to whom the Software is
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* furnished to do so, subject to the following conditions:
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*
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* The above copyright notice and this permission notice shall be included in all
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* copies or substantial portions of the Software.
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*
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* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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* AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
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* OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
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* SOFTWARE.
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*/
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#include <cstdint>
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namespace bitstream
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{
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/**
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* @brief Class for quantizing single-precision floats into a range and precision
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*/
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class bounded_range
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{
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public:
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constexpr bounded_range() noexcept :
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m_Min(0),
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m_Max(0),
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m_Precision(0),
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m_BitsRequired(0),
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m_Mask(0) {}
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constexpr bounded_range(float min, float max, float precision) noexcept :
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m_Min(min),
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m_Max(max),
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m_Precision(precision),
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m_BitsRequired(log2(static_cast<uint32_t>((m_Max - m_Min) * (1.0f / precision) + 0.5f)) + 1),
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m_Mask((1U << m_BitsRequired) - 1U) {}
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constexpr inline float get_min() const noexcept { return m_Min; }
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constexpr inline float get_max() const noexcept { return m_Max; }
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constexpr inline float get_precision() const noexcept { return m_Precision; }
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constexpr inline uint32_t get_bits_required() const noexcept { return m_BitsRequired; }
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constexpr inline uint32_t quantize(float value) const noexcept
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{
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if (value < m_Min)
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value = m_Min;
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else if (value > m_Max)
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value = m_Max;
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return static_cast<uint32_t>(static_cast<float>((value - m_Min) * (1.0f / m_Precision)) + 0.5f) & m_Mask;
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}
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constexpr inline float dequantize(uint32_t data) const noexcept
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{
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float adjusted = (static_cast<float>(data) * m_Precision) + m_Min;
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if (adjusted < m_Min)
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adjusted = m_Min;
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else if (adjusted > m_Max)
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adjusted = m_Max;
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return adjusted;
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}
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private:
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constexpr inline static uint32_t log2(uint32_t value) noexcept
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{
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value |= value >> 1;
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value |= value >> 2;
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value |= value >> 4;
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value |= value >> 8;
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value |= value >> 16;
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return DE_BRUIJN[(value * 0x07C4ACDDU) >> 27];
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}
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private:
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float m_Min;
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float m_Max;
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float m_Precision;
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uint32_t m_BitsRequired;
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uint32_t m_Mask;
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constexpr inline static uint32_t DE_BRUIJN[32]
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{
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0, 9, 1, 10, 13, 21, 2, 29,
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11, 14, 16, 18, 22, 25, 3, 30,
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8, 12, 20, 28, 15, 17, 24, 7,
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19, 27, 23, 6, 26, 5, 4, 31
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};
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};
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}
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@@ -0,0 +1,114 @@
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#pragma once
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/*
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* Copyright (c) 2018 Stanislav Denisov
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*
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* Permission is hereby granted, free of charge, to any person obtaining a copy
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* of this software and associated documentation files (the "Software"), to deal
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* in the Software without restriction, including without limitation the rights
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* to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
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* copies of the Software, and to permit persons to whom the Software is
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* furnished to do so, subject to the following conditions:
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*
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* The above copyright notice and this permission notice shall be included in all
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* copies or substantial portions of the Software.
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*
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* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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* AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
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* OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
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* SOFTWARE.
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*/
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#include <cstdint>
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#include <cstring>
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namespace bitstream
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{
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/**
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* @brief Class for quantizing single-precision floats into half-precision
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*/
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class half_precision
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{
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public:
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inline static uint16_t quantize(float value) noexcept
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{
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int32_t tmp;
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std::memcpy(&tmp, &value, sizeof(float));
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int32_t s = (tmp >> 16) & 0x00008000;
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int32_t e = ((tmp >> 23) & 0X000000FF) - (127 - 15);
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int32_t m = tmp & 0X007FFFFF;
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if (e <= 0) {
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if (e < -10)
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return static_cast<uint16_t>(s);
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m |= 0x00800000;
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int32_t t = 14 - e;
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int32_t a = (1 << (t - 1)) - 1;
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int32_t b = (m >> t) & 1;
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m = (m + a + b) >> t;
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return static_cast<uint16_t>(s | m);
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}
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if (e == 0XFF - (127 - 15)) {
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if (m == 0)
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return static_cast<uint16_t>(s | 0X7C00);
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m >>= 13;
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return static_cast<uint16_t>(s | 0X7C00 | m | ((m == 0) ? 1 : 0));
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}
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m = m + 0X00000FFF + ((m >> 13) & 1);
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if ((m & 0x00800000) != 0) {
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m = 0;
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e++;
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}
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if (e > 30)
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return static_cast<uint16_t>(s | 0X7C00);
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return static_cast<uint16_t>(s | (e << 10) | (m >> 13));
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}
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inline static float dequantize(uint16_t value) noexcept
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{
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uint32_t tmp;
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uint32_t mantissa = static_cast<uint32_t>(value & 1023);
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uint32_t exponent = 0XFFFFFFF2;
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if ((value & -33792) == 0) {
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if (mantissa != 0) {
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while ((mantissa & 1024) == 0) {
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exponent--;
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mantissa <<= 1;
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}
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mantissa &= 0XFFFFFBFF;
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tmp = ((static_cast<uint32_t>(value) & 0x8000) << 16) | ((exponent + 127) << 23) | (mantissa << 13);
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}
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else
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{
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tmp = static_cast<uint32_t>((value & 0x8000) << 16);
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}
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}
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else
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{
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tmp = ((static_cast<uint32_t>(value) & 0x8000) << 16) | (((((static_cast<uint32_t>(value) >> 10) & 0X1F) - 15) + 127) << 23) | (mantissa << 13);
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}
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float result;
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std::memcpy(&result, &tmp, sizeof(float));
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return result;
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}
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};
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}
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@@ -0,0 +1,156 @@
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#pragma once
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/*
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* Copyright (c) 2020 Stanislav Denisov, Maxim Munning, Davin Carten
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*
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* Permission is hereby granted, free of charge, to any person obtaining a copy
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* of this software and associated documentation files (the "Software"), to deal
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* in the Software without restriction, including without limitation the rights
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* to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
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* copies of the Software, and to permit persons to whom the Software is
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* furnished to do so, subject to the following conditions:
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*
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* The above copyright notice and this permission notice shall be included in all
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* copies or substantial portions of the Software.
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*
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* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
|
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* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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* AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
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* OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
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* SOFTWARE.
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*/
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#include <cstdint>
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#include <cmath>
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namespace bitstream
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{
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/**
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* @brief A quantized representation of a quaternion
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*/
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struct quantized_quaternion
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{
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uint32_t m;
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uint32_t a;
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uint32_t b;
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uint32_t c;
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constexpr quantized_quaternion() noexcept :
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m(0),
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a(0),
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b(0),
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c(0) {}
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constexpr quantized_quaternion(uint32_t w, uint32_t x, uint32_t y, uint32_t z) noexcept :
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m(w), a(x), b(y), c(z) {}
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};
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/**
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* @brief Class for quantizing a user-specified quaternion into fewer bits using the smallest-three algorithm
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* @tparam T The quaternion-type to quantize
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*/
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template<typename T, size_t BitsPerElement = 12>
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class smallest_three
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{
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private:
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static constexpr float SMALLEST_THREE_UNPACK = 0.70710678118654752440084436210485f + 0.0000001f;
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static constexpr float SMALLEST_THREE_PACK = 1.0f / SMALLEST_THREE_UNPACK;
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public:
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inline static quantized_quaternion quantize(const T& quaternion) noexcept
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{
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constexpr float half_range = static_cast<float>(1 << (BitsPerElement - 1));
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constexpr float packer = SMALLEST_THREE_PACK * half_range;
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float max_value = -1.0f;
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bool sign_minus = false;
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uint32_t m = 0;
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uint32_t a = 0;
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uint32_t b = 0;
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uint32_t c = 0;
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for (uint32_t i = 0; i < 4; i++)
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{
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float element = quaternion[i];
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float abs = element > 0.0f ? element : -element;
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if (abs > max_value)
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{
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sign_minus = element < 0.0f;
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m = i;
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max_value = abs;
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}
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}
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float af = 0.0f;
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float bf = 0.0f;
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float cf = 0.0f;
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switch (m)
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{
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case 0:
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af = quaternion[1];
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bf = quaternion[2];
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cf = quaternion[3];
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break;
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case 1:
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af = quaternion[0];
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bf = quaternion[2];
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cf = quaternion[3];
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break;
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case 2:
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af = quaternion[0];
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bf = quaternion[1];
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cf = quaternion[3];
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break;
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default: // case 3
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af = quaternion[0];
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bf = quaternion[1];
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cf = quaternion[2];
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break;
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}
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if (sign_minus)
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{
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a = static_cast<uint32_t>((-af * packer) + half_range);
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b = static_cast<uint32_t>((-bf * packer) + half_range);
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c = static_cast<uint32_t>((-cf * packer) + half_range);
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}
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else
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{
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a = static_cast<uint32_t>((af * packer) + half_range);
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b = static_cast<uint32_t>((bf * packer) + half_range);
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c = static_cast<uint32_t>((cf * packer) + half_range);
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}
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return { m, a, b, c };
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}
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inline static T dequantize(const quantized_quaternion& data) noexcept
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{
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constexpr uint32_t half_range = (1 << (BitsPerElement - 1));
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constexpr float unpacker = SMALLEST_THREE_UNPACK * (1.0f / half_range);
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float a = static_cast<float>(data.a * unpacker - half_range * unpacker);
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float b = static_cast<float>(data.b * unpacker - half_range * unpacker);
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float c = static_cast<float>(data.c * unpacker - half_range * unpacker);
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float d = std::sqrt(1.0f - ((a * a) + (b * b) + (c * c)));
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switch (data.m)
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{
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case 0:
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return T{ d, a, b, c };
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case 1:
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return T{ a, d, b, c };
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case 2:
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return T{ a, b, d, c };
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default: // case 3
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return T{ a, b, c, d };
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}
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}
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};
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}
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