mirror of https://github.com/status-im/leopard.git
First commit
This commit is contained in:
catid
commit
d867f3a7da
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*.suo
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msvc/LHC_RS.VC.db
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*.opendb
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msvc/LHC_RS.vcxproj.user
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*.log
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*.obj
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*.tlog
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||||||
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*.idb
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*.pdb
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||||||
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*.exe
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||||||
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*.ilk
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||||||
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*.iobj
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*.ipdb
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*.vspx
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# Lin-Han-Chung RS Codes
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||||||
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This is an attempt at implementing a fast version of the algorithm described here:
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||||||
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|
||||||
|
~~~
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||||||
|
S.-J. Lin, T. Y. Al-Naffouri, Y. S. Han, and W.-H. Chung,
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||||||
|
"Novel Polynomial Basis with Fast Fourier Transform and Its Application to Reed-Solomon Erasure Codes"
|
||||||
|
IEEE Trans. on Information Theory, pp. 6284-6299, November, 2016.
|
||||||
|
~~~
|
||||||
|
Available here: [http://ct.ee.ntust.edu.tw/it2016-2.pdf](http://ct.ee.ntust.edu.tw/it2016-2.pdf)
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||||||
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|
||||||
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I wasn't able to figure out how to speed up the critical piece of code:
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||||||
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|
||||||
|
~~~
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||||||
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// z = x + y (mod Q)
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||||||
|
static inline GFSymbol AddModQ(GFSymbol a, GFSymbol b)
|
||||||
|
{
|
||||||
|
const unsigned sum = (unsigned)a + b;
|
||||||
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|
||||||
|
// Partial reduction step, allowing for Q to be returned
|
||||||
|
return static_cast<GFSymbol>(sum + (sum >> kGFBits));
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||||||
|
}
|
||||||
|
|
||||||
|
// vx[] += vy[] * z
|
||||||
|
static void muladd_mem(GFSymbol * vx, const GFSymbol * vy, GFSymbol z, unsigned symbolCount)
|
||||||
|
{
|
||||||
|
for (unsigned i = 0; i < symbolCount; ++i)
|
||||||
|
{
|
||||||
|
const GFSymbol a = vy[i];
|
||||||
|
if (a == 0)
|
||||||
|
continue;
|
||||||
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|
||||||
|
const GFSymbol sum = static_cast<GFSymbol>(AddModQ(GFLog[a], z));
|
||||||
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|
||||||
|
vx[i] ^= GFExp[sum];
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||||||
|
}
|
||||||
|
}
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||||||
|
~~~
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||||||
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|
||||||
|
This routine basically takes all the runtime. Since it involves normal addition via `AddModQ()`, it is pretty slow and is hard to vectorize.
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||||||
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||||||
|
Math over GF(2^^16) is a lot faster because multiplies can be decomposed linearly into separate operations that can be done via vector instructions.
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||||||
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||||||
|
So unfortunately it looks like while this field does have an FFT, the field does not permit fast math.
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||||||
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||||||
|
Maybe someone else can figure out how to speed this up?
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Binary file not shown.
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||||||
|
static inline void FWHT_4(GFSymbol* data)
|
||||||
|
{
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||||||
|
#if 1
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||||||
|
GFSymbol t0 = data[0];
|
||||||
|
GFSymbol t1 = data[1];
|
||||||
|
GFSymbol t2 = data[2];
|
||||||
|
GFSymbol t3 = data[3];
|
||||||
|
FWHT_2(t0, t1);
|
||||||
|
FWHT_2(t2, t3);
|
||||||
|
FWHT_2(t0, t2);
|
||||||
|
FWHT_2(t1, t3);
|
||||||
|
data[0] = t0;
|
||||||
|
data[1] = t1;
|
||||||
|
data[2] = t2;
|
||||||
|
data[3] = t3;
|
||||||
|
#else
|
||||||
|
LHC_M128 * LHC_RESTRICT data64 = reinterpret_cast<LHC_M128 *>(data);
|
||||||
|
|
||||||
|
const LHC_M128 mask = _mm_set_epi32(0xffff, 0xffff, 0xffff, 0xffff);
|
||||||
|
|
||||||
|
// Load 8 bytes of data into low half of register
|
||||||
|
// input = { t0 t1 t2 t3 0 0 0 0 }
|
||||||
|
LHC_M128 input = _mm_loadl_epi64(data64);
|
||||||
|
|
||||||
|
// FWHT_2(t0, t1); FWHT_2(t2, t3);
|
||||||
|
|
||||||
|
// t0t2 = { t0 0 t2 0 0 0 0 0 }
|
||||||
|
LHC_M128 t0t2 = _mm_and_si128(input, mask);
|
||||||
|
|
||||||
|
// t1t3 = { t1 0 t3 0 0 0 0 0 }
|
||||||
|
input = _mm_srli_epi32(input, 16);
|
||||||
|
|
||||||
|
// {input, sum} = {t0t2 - t1t3, t0t2 - t1t3}
|
||||||
|
LHC_M128 sum = _mm_add_epi32(t0t2, input);
|
||||||
|
input = _mm_sub_epi32(t0t2, input);
|
||||||
|
|
||||||
|
if (CpuHasSSSE3)
|
||||||
|
{
|
||||||
|
// Reduce to 16-bit values
|
||||||
|
// input = { t0 + t1, t2 + t3, 0, 0, t0 - t1, t2 - t3, 0, 0 }
|
||||||
|
// input = { t0, t2, 0, 0, t1, t3, 0, 0 }
|
||||||
|
input = _mm_hadd_epi16(sum, input);
|
||||||
|
|
||||||
|
// FWHT_2(t0, t2); FWHT_2(t1, t3);
|
||||||
|
|
||||||
|
// Spread the values out
|
||||||
|
// input = { t0, 0, t2, 0, t1, 0, t3, 0 }
|
||||||
|
input = _mm_shufflelo_epi16(input, _MM_SHUFFLE(3, 1, 2, 0));
|
||||||
|
input = _mm_shufflehi_epi16(input, _MM_SHUFFLE(3, 1, 2, 0));
|
||||||
|
|
||||||
|
// Compute 32-bit sums with overflows
|
||||||
|
// sum = { t0 + t2, t1 + t3, undef, undef } (32-bit overflows)
|
||||||
|
sum = _mm_hadd_epi32(input, input);
|
||||||
|
|
||||||
|
// Compute 32-bit difs with overflows
|
||||||
|
// input = { t0 - t2, t1 - t3, undef, undef } (32-bit overflows)
|
||||||
|
input = _mm_hsub_epi32(input, input);
|
||||||
|
|
||||||
|
// Reduce to 16-bit values
|
||||||
|
// input = { t0 + t2, t1 + t3, t0 + t2, t1 + t3, t0 - t2, t1 - t3, t0 - t2, t1 - t3 } (16-bit reduced)
|
||||||
|
input = _mm_hadd_epi16(sum, input);
|
||||||
|
|
||||||
|
// input = { t0 + t2, t1 + t3, t0 - t2, t1 - t3, undef, undef, undef, undef }
|
||||||
|
input = _mm_shuffle_epi32(input, _MM_SHUFFLE(3, 1, 2, 0));
|
||||||
|
|
||||||
|
// Store 8 bytes of data
|
||||||
|
_mm_storel_epi64(data64, input);
|
||||||
|
}
|
||||||
|
else
|
||||||
|
{
|
||||||
|
LHC_DEBUG_BREAK; // FIXME
|
||||||
|
|
||||||
|
// FWHT_2(t0, t2); FWHT_2(t1, t3);
|
||||||
|
}
|
||||||
|
#endif
|
||||||
|
}
|
||||||
File diff suppressed because it is too large
Load Diff
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@ -0,0 +1,28 @@
|
||||||
|
|
||||||
|
Microsoft Visual Studio Solution File, Format Version 12.00
|
||||||
|
# Visual Studio 14
|
||||||
|
VisualStudioVersion = 14.0.25420.1
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||||||
|
MinimumVisualStudioVersion = 10.0.40219.1
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|
Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "LHC_RS", "LHC_RS.vcxproj", "{32176592-2F30-4BD5-B645-EB11C8D3453E}"
|
||||||
|
EndProject
|
||||||
|
Global
|
||||||
|
GlobalSection(SolutionConfigurationPlatforms) = preSolution
|
||||||
|
Debug|Win32 = Debug|Win32
|
||||||
|
Debug|x64 = Debug|x64
|
||||||
|
Release|Win32 = Release|Win32
|
||||||
|
Release|x64 = Release|x64
|
||||||
|
EndGlobalSection
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||||||
|
GlobalSection(ProjectConfigurationPlatforms) = postSolution
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||||||
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{32176592-2F30-4BD5-B645-EB11C8D3453E}.Debug|Win32.ActiveCfg = Debug|Win32
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{32176592-2F30-4BD5-B645-EB11C8D3453E}.Debug|Win32.Build.0 = Debug|Win32
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{32176592-2F30-4BD5-B645-EB11C8D3453E}.Debug|x64.ActiveCfg = Debug|x64
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{32176592-2F30-4BD5-B645-EB11C8D3453E}.Debug|x64.Build.0 = Debug|x64
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{32176592-2F30-4BD5-B645-EB11C8D3453E}.Release|Win32.ActiveCfg = Release|Win32
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||||||
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{32176592-2F30-4BD5-B645-EB11C8D3453E}.Release|Win32.Build.0 = Release|Win32
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||||||
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{32176592-2F30-4BD5-B645-EB11C8D3453E}.Release|x64.ActiveCfg = Release|x64
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||||||
|
{32176592-2F30-4BD5-B645-EB11C8D3453E}.Release|x64.Build.0 = Release|x64
|
||||||
|
EndGlobalSection
|
||||||
|
GlobalSection(SolutionProperties) = preSolution
|
||||||
|
HideSolutionNode = FALSE
|
||||||
|
EndGlobalSection
|
||||||
|
EndGlobal
|
||||||
|
|
@ -0,0 +1,180 @@
|
||||||
|
<?xml version="1.0" encoding="utf-8"?>
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<Project DefaultTargets="Build" ToolsVersion="15.0" xmlns="http://schemas.microsoft.com/developer/msbuild/2003">
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<ItemGroup Label="ProjectConfigurations">
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<ProjectConfiguration Include="Debug|Win32">
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<Configuration>Debug</Configuration>
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<Platform>Win32</Platform>
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</ProjectConfiguration>
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<ProjectConfiguration Include="Debug|x64">
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<Configuration>Debug</Configuration>
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<Platform>x64</Platform>
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</ProjectConfiguration>
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<ProjectConfiguration Include="Release|Win32">
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<Configuration>Release</Configuration>
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<Platform>Win32</Platform>
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</ProjectConfiguration>
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<ProjectConfiguration Include="Release|x64">
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<Configuration>Release</Configuration>
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<Platform>x64</Platform>
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<ClCompile Include="..\lhc_rs.cpp" />
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</ItemGroup>
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<PropertyGroup Label="Globals">
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<ProjectGuid>{32176592-2F30-4BD5-B645-EB11C8D3453E}</ProjectGuid>
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<RootNamespace>GF65536</RootNamespace>
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<CharacterSet>MultiByte</CharacterSet>
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<ConfigurationType>Application</ConfigurationType>
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<CharacterSet>MultiByte</CharacterSet>
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<ConfigurationType>Application</ConfigurationType>
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<WholeProgramOptimization>true</WholeProgramOptimization>
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<WholeProgramOptimization>true</WholeProgramOptimization>
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<IntrinsicFunctions>true</IntrinsicFunctions>
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<SDLCheck>true</SDLCheck>
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||||||
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<InlineFunctionExpansion>AnySuitable</InlineFunctionExpansion>
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||||||
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<FavorSizeOrSpeed>Speed</FavorSizeOrSpeed>
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||||||
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<OmitFramePointers>false</OmitFramePointers>
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||||||
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<RuntimeLibrary>MultiThreaded</RuntimeLibrary>
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<Link>
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|
||||||
|
<OptimizeReferences>true</OptimizeReferences>
|
||||||
|
<AdditionalLibraryDirectories>
|
||||||
|
</AdditionalLibraryDirectories>
|
||||||
|
</Link>
|
||||||
|
<PostBuildEvent>
|
||||||
|
<Command>
|
||||||
|
</Command>
|
||||||
|
</PostBuildEvent>
|
||||||
|
</ItemDefinitionGroup>
|
||||||
|
<Import Project="$(VCTargetsPath)\Microsoft.Cpp.targets" />
|
||||||
|
<ImportGroup Label="ExtensionTargets">
|
||||||
|
</ImportGroup>
|
||||||
|
</Project>
|
||||||
|
|
@ -0,0 +1,22 @@
|
||||||
|
<?xml version="1.0" encoding="utf-8"?>
|
||||||
|
<Project ToolsVersion="4.0" xmlns="http://schemas.microsoft.com/developer/msbuild/2003">
|
||||||
|
<ItemGroup>
|
||||||
|
<Filter Include="Source Files">
|
||||||
|
<UniqueIdentifier>{4FC737F1-C7A5-4376-A066-2A32D752A2FF}</UniqueIdentifier>
|
||||||
|
<Extensions>cpp;c;cc;cxx;def;odl;idl;hpj;bat;asm;asmx</Extensions>
|
||||||
|
</Filter>
|
||||||
|
<Filter Include="Header Files">
|
||||||
|
<UniqueIdentifier>{93995380-89BD-4b04-88EB-625FBE52EBFB}</UniqueIdentifier>
|
||||||
|
<Extensions>h;hh;hpp;hxx;hm;inl;inc;xsd</Extensions>
|
||||||
|
</Filter>
|
||||||
|
<Filter Include="Resource Files">
|
||||||
|
<UniqueIdentifier>{67DA6AB6-F800-4c08-8B7A-83BB121AAD01}</UniqueIdentifier>
|
||||||
|
<Extensions>rc;ico;cur;bmp;dlg;rc2;rct;bin;rgs;gif;jpg;jpeg;jpe;resx;tiff;tif;png;wav;mfcribbon-ms</Extensions>
|
||||||
|
</Filter>
|
||||||
|
</ItemGroup>
|
||||||
|
<ItemGroup>
|
||||||
|
<ClCompile Include="..\lhc_rs.cpp">
|
||||||
|
<Filter>Source Files</Filter>
|
||||||
|
</ClCompile>
|
||||||
|
</ItemGroup>
|
||||||
|
</Project>
|
||||||
Loading…
Reference in New Issue